Datasets:
SmallDoge
/
stable_dataset_processed

Dataset card Data Studio Files
xet
Community
Search is not available for this dataset
input_ids
listlengths
1
2.05k
attention_mask
listlengths
1
2.05k
[ 849, 5526, 547, 581, 3144, 676, 7332, 5856, 1325, 918, 529, 2967, 267, 945, 2829, 912, 2691, 646, 729, 476, 2412, 1296, 2025, 267, 2696, 2366, 1864, 630, 5319, 5255, 264, 607, 513, 28034, 630, 6652, 592, 264, 547, 519, 18939, 540, 1627, 8494, 630, 328, 4318, 1421, 595, 664, 1040, 634, 18939, 540, 1627, 8494, 941, 23766, 593, 519, 3618, 267, 13026, 609, 27873, 906, 267, 13465, 267, 4730, 556, 539, 7405, 267, 543, 1193, 636, 2719, 5569, 7405, 547, 519, 1448, 602, 9039, 540, 873, 27361, 13657, 609, 2543, 547, 713, 630, 2041, 8326, 264, 1851, 519, 1004, 269, 589, 14228, 540, 873, 1131, 15624, 1472, 513, 4807, 543, 723, 3023, 609, 1200, 267, 543, 519, 2893, 753, 945, 941, 609, 873, 1131, 862, 754, 873, 585, 741, 632, 539, 269, 1358, 1131, 723, 3023, 609, 630, 26132, 264, 11299, 267, 20766, 267, 543, 19946, 267, 543, 789, 6404, 967, 4593, 3234, 514, 2299, 609, 1142, 824, 269, 14068, 13499, 676, 519, 2893, 753, 267, 789, 9715, 2947, 7329, 11169, 585, 2933, 630, 325, 5831, 539, 264, 2687, 547, 519, 6010, 8864, 540, 519, 18939, 540, 1627, 8494, 267, 543, 789, 941, 630, 24887, 264, 654, 5417, 267, 2672, 11445, 8730, 962, 27895, 3578, 267, 962, 320, 685, 340, 336, 267, 543, 715, 553, 337, 267, 891, 1373, 519, 4408, 540, 519, 18939, 540, 1627, 8494, 563, 9616, 519, 1249, 602, 519, 595, 664, 2572, 941, 23766, 267, 543, 941, 7722, 538, 1596, 4593, 6681, 7180, 267, 899, 519, 14930, 540, 519, 10971, 267, 2048, 663, 685, 849, 616, 1767, 547, 581, 2404, 609, 7574, 7405, 267, 899, 808, 889, 531, 267, 5067, 540, 700, 877, 577, 563, 2005, 1131, 3100, 607, 1498, 1250, 2070, 1281, 538, 1249, 723, 513, 3140, 4493, 563, 2507, 2290, 3803, 3364, 269, 898, 1131, 3100, 607, 1498, 5484, 12254, 327, 2100, 814, 513, 1007, 3381, 856, 593, 519, 13605, 327, 559, 7927, 563, 2026, 594, 10567, 267, 646, 1281, 2370, 811, 982, 1612, 8527, 519, 960, 540, 3220, 7812, 1261, 16014, 547, 1489, 519, 10143, 5169, 540, 519, 13605, 327, 559, 574, 269, 594, 723, 2907, 1305, 856, 1250, 2318, 2013, 585, 513, 1480, 2542, 1657, 267, 607, 1134, 607, 1934, 267, 865, 594, 786, 1445, 593, 14775, 547, 835, 1880, 4661, 1031, 676, 12254, 327, 2100, 1934, 269, 634, 4661, 602, 2048, 301, 32397, 559, 574, 685, 1797, 23766, 267, 3079, 540, 15468, 3283, 563, 1607, 568, 2241, 267, 4608, 15560, 1612, 549, 1154, 540, 5484, 12254, 327, 2100, 779, 31561, 267, 1261, 16014, 269, 634, 3390, 609, 713, 2070, 568, 602, 782, 519, 589, 18769, 545, 5931, 1141, 562, 7469, 559, 1797, 2048, 326, 5050, 685, 616, 1360, 3735, 267, 543, 2022, 11845, 19606, 476, 277, 18737, 275, 779, 5888, 269, 5015, 267, 519, 2262, 556, 6495, 685, 574, 267, 1031, 585, 14326, 540, 519, 4666, 267, 568, 1031, 547, 3277, 547, 13400, 23766, 267, 5885, 519, 2542, 540, 15468, 630, 553, 538, 2048, 16435, 664, 32426, 3283, 563, 296, 849, 4363, 596, 1224, 713, 5816, 2022, 676, 1546, 2033, 8895, 3630, 603, 585, 811, 1344, 912, 2691, 594, 4951, 713, 5816, 2022, 547, 12254, 327, 2100, 267, 646, 630, 296, 14353, 22393, 264, 11821, 713, 5816, 2022, 609, 606, 4505, 5816, 2022, 676, 8895, 3630, 603, 267, 799, 1261, 16014, 15527, 547, 267, 543, 10645, 1261, 16014, 2048, 622, 1010, 12899, 9957, 1809, 646, 10423, 569, 4769, 1406, 1224, 713, 5816, 2022, 267, 799, 568, 2965, 513, 2048, 24978, 685, 547, 1261, 16014, 779, 3210, 269, 1261, 16014, 8959, 547, 2285, 606, 538, 3178, 3210, 269, 1924, 1100, 267, 1261, 16014, 1705, 711, 2048, 324, 520, 1010, 12899, 9957, 12254, 327, 2100, 10423, 569, 3112, 4308, 609, 519, 7872, 602, 1261, 16014, 568, 4636, 563, 2467, 568, 3274, 1932, 1454, 6252, 1143, 1063, 19606, 476, 275, 281, 1704, 268, 2420, 543, 19606, 476, 277, 281, 272, 268, 275, 547, 581, 6071, 14626, 2064, 269, 25392, 875, 1312, 15102, 946, 4622, 569, 1893, 630, 290, 664, 1336, 338, 513, 2749, 267, 543, 15438, 538, 519, 3504, 1158, 941, 5156, 547, 581, 1917, 13516, 676, 519, 10971, 264, 547, 4766, 7919, 945, 2048, 339, 820, 685, 630, 5055, 336, 778, 264, 24726, 11884, 267, 543, 1034, 11932, 267, 1917, 520, 15556, 540, 1390, 2956, 563, 3383, 594, 1294, 12254, 327, 2100, 779, 2070, 1448, 607, 1373, 10169, 4617, 563, 296, 7703, 1100, 2192, 786, 1996, 12254, 327, 2100, 267, 538, 1249, 594, 2972, 1010, 1543, 269, 594, 1175, 1745, 519, 991, 547, 16472, 1864, 950, 646, 4991, 621, 4636, 563, 337, 330, 321, 2048, 337, 696, 267, 856, 2336, 6826, 19354, 281, 589, 22564, 543, 19410, 776, 1107, 808, 305, 305, 24729, 651, 514, 454, 6826, 19354, 779, 3933, 9094, 281, 24951, 519, 19088, 1108, 540, 13983, 526, 601, 267, 595, 664, 267, 1299, 30616, 1107, 1530, 534, 595, 269, 16874, 2917, 454, 303, 3881, 7637, 267, 15281, 559, 334, 269, 968, 16165, 21715, 5085, 24912, 23370, 290, 7728, 20978, 11404, 2562, 23414, 2177, 306, 2839, 2207, 3633, 1848, 3026, 25045, 559, 860, 27528, 14600, 974, 559, 684, 2102, 267, 2019, 269, 476, 10463, 267, 1100, 269, 476, 272, 270, 274, 267, 476, 3192, 273, 267, 6032, 269, 476, 29257, 1700, 29720, 269, 808, 4306, 3036, 267, 808, 4306, 3036, 267, 5291, 2517, 4178, 12459, 560, 528, 3820, 23995, 762, 270, 275, 3451, 28526, 6795, 269, 0, 7021, 519, 2250, 1906, 4374, 623, 277, 289, 723, 1044, 1316, 2358, 6266, 540, 5053, 269, 1284, 723, 1044, 2519, 593, 519, 6863, 2877, 547, 2697, 1920, 2818, 607, 1134, 607, 19597, 908, 938, 1702, 540, 519, 15437, 563, 2080, 779, 606, 1383, 540, 930, 540, 519, 2238, 602, 649, 723, 1044, 3257, 563, 268, 1284, 1031, 519, 1612, 778, 1393, 547, 1404, 513, 7990, 4528, 540, 4829, 19997, 454, 268, 1284, 1031, 21594, 547, 1265, 543, 2263, 1007, 1913, 543, 2328, 2110, 5220, 454, 268, 1284, 1031, 918, 1695, 2393, 268, 606, 813, 602, 13071, 721, 14526, 1996, 1142, 824, 538, 513, 7688, 454, 268, 1284, 14437, 827, 519, 2818, 540, 938, 1920, 543, 16668, 513, 1920, 3529, 454, 268, 1284, 5129, 6126, 3885, 1210, 6266, 540, 1114, 6863, 454, 22492, 7064, 547, 938, 17055, 5053, 10584, 267, 1325, 9346, 267, 945, 8952, 721, 782, 593, 519, 1318, 3950, 543, 2953, 338, 1250, 9073, 585, 803, 8627, 9462, 502, 482, 13518, 553, 1178, 857, 553, 267, 1325, 9346, 563, 283, 708, 326, 521, 21683, 284, 892, 10059, 2517, 338, 857, 15086, 27146, 776, 338, 1460, 8807, 3796, 269, 5320, 12304, 2593, 270, 1001, 278, 270, 1321, 270, 19112, 318, 23211, 273, 268, 272, 27970, 892, 4463, 284, 892, 14225, 279, 16357, 1362, 284, 892, 342, 335, 268, 13548, 268, 28307, 279, 16357, 8700, 284, 892, 14631, 277, 16357, 285, 0, 20373, 281, 1261, 4249, 519, 14440, 269, 6496, 646, 1404, 519, 1166, 1393, 888, 1607, 568, 513, 2789, 3903, 7688, 827, 519, 9338, 307, 781, 1920, 610, 2828, 269, 898, 3340, 513, 2603, 540, 11049, 547, 946, 563, 10743, 1404, 513, 16866, 4487, 332, 785, 1210, 1412, 4754, 262, 543, 1412, 323, 3996, 23823, 10743, 2259, 3448, 21770, 676, 27378, 799, 1362, 22940, 741, 7649, 568, 6158, 827, 563, 1103, 713, 4976, 267, 1053, 2259, 834, 15290, 257, 543, 834, 3602, 257, 676, 6998, 827, 1142, 824, 781, 13467, 563, 10743, 7058, 519, 3961, 540, 824, 1053, 1210, 834, 323, 3996, 257, 2055, 269, 0, 310, 3480, 5614, 6777, 17569, 814, 1044, 2630, 3339, 3670, 540, 519, 2250, 5722, 1296, 267, 2495, 1447, 1216, 1282, 519, 12926, 3819, 4832, 3275, 563, 6524, 519, 1439, 540, 713, 2540, 267, 519, 22269, 32395, 538, 6115, 267, 667, 5861, 269, 949, 16036, 513, 3923, 4505, 593, 3328, 982, 789, 798, 2221, 563, 763, 4583, 22269, 32395, 538, 6115, 267, 667, 5861, 269, 616, 28480, 4505, 538, 938, 4657, 2916, 563, 20458, 1689, 568, 7133, 519, 1883, 2609, 538, 14420, 2504, 281, 554, 3591, 267, 24061, 267, 543, 1216, 563, 763, 1297, 540, 2395, 1142, 1032, 609, 3665, 11811, 568, 267, 593, 3328, 267, 2810, 538, 1169, 3148, 540, 519, 772, 2529, 563, 4322, 2592, 1397, 1279, 3856, 4262, 1377, 4473, 30367, 585, 519, 12144, 563, 7712, 519, 1101, 4303, 2023, 320, 476, 4335, 538, 476, 4198, 280, 267, 519, 3328, 1164, 2837, 538, 4303, 2023, 320, 16047, 1282, 3735, 5988, 814, 24111, 476, 274, 269, 280, 13790, 563, 1432, 779, 519, 2916, 899, 538, 713, 1032, 779, 15604, 21396, 3984, 2749, 267, 623, 6614, 784, 2419, 836, 286, 0, 3383, 267, 596, 4076, 1044, 4857, 609, 17808, 2887, 26508, 13740, 267, 610, 596, 4755, 547, 581, 15691, 547, 32230, 543, 596, 14353, 596, 723, 513, 8685, 531, 3625, 323, 720, 630, 528, 1079, 1040, 1548, 666, 596, 798, 547, 4217, 707, 1582, 888, 4131, 721, 2408, 693, 1018, 3226, 519, 2887, 26508, 13740, 616, 267, 543, 875, 789, 1205, 17808, 538, 519, 547, 1376, 609, 2322, 912, 5445, 616, 513, 6292, 540, 11741, 13740, 602, 1394, 15062, 519, 30124, 547, 519, 19786, 267, 543, 616, 538, 930, 2665, 3957, 29897, 13740, 267, 2892, 4771, 525, 610, 9065, 573, 10631, 338, 269, 1358, 616, 10199, 476, 278, 547, 476, 1691, 4699, 1279, 267, 543, 1205, 3323, 693, 519, 1655, 7944, 540, 519, 19786, 543, 6521, 856, 2072, 547, 1106, 513, 5888, 5219, 547, 607, 519, 4017, 6319, 269, 634, 2887, 26508, 13740, 616, 1271, 585, 17748, 547, 1205, 2322, 267, 855, 789, 616, 11212, 17866, 543, 607, 891, 1590, 581, 3177, 1813, 1390, 2956, 563, 763, 2887, 26508, 13740, 2874, 540, 2178, 4887, 2527, 5160, 267, 4988, 676, 524, 559, 7007, 2281, 269, 595, 559, 7007, 2281, 616, 2281, 602, 723, 18784, 4552, 6438, 20327, 602, 5397, 3615, 4724, 519, 19786, 269, 634, 524, 559, 7007, 2281, 616, 9580, 12023, 609, 513, 6094, 22024, 547, 3180, 519, 2887, 26508, 13740, 9543, 543, 726, 4192, 267, 543, 547, 2226, 19993, 6668, 6381, 585, 14203, 543, 5798, 563, 293, 718, 26508, 13740, 666, 1332, 547, 581, 17808, 3274, 1317, 540, 16698, 267, 5563, 267, 15559, 267, 610, 1085, 18732, 543, 14398, 687, 563, 21946, 4771, 4345, 568, 950, 519, 789, 616, 22224, 1813, 547, 606, 606, 3968, 269, 13575, 267, 519, 9594, 540, 2892, 4771, 4345, 568, 23856, 12982, 4524, 630, 528, 623, 2839, 585, 1507, 1040, 6428, 4771, 4345, 666, 1439, 1267, 538, 519, 6821, 540, 519, 13740, 23578, 24973, 267, 799, 2164, 538, 873, 547, 2097, 547, 581, 17808, 267, 4061, 14831, 3585, 4227, 519, 12918, 540, 17748, 269, 6428, 4771, 4345, 666, 1267, 538, 15353, 267, 13481, 267, 8611, 267, 17987, 24074, 610, 8519, 1586, 24074, 269, 1403, 1869, 2451, 15860, 267, 621, 5012, 547, 26983, 610, 8685, 531, 26691, 563, 763, 14232, 2601, 6117, 2887, 26508, 8546, 31797, 568, 3289, 4592, 531, 11017, 343, 269, 589, 3289, 4592, 531, 11017, 343, 666, 1491, 1858, 950, 519, 5714, 7213, 12885, 538, 873, 269, 901, 5714, 568, 9658, 1540, 676, 519, 519, 5985, 16298, 607, 19149, 656, 269, 769, 513, 2635, 4807, 267, 713, 19149, 656, 13333, 689, 519, 535, 12494, 6319, 268, 519, 5057, 540, 519, 9065, 573, 10631, 338, 14191, 547, 519, 30124, 267, 538, 519, 4287, 540, 519, 19786, 563, 763, 1292, 24117, 2021, 1711, 513, 3289, 4592, 531, 11017, 343, 568, 23856, 12982, 19210, 267, 4244, 569, 621, 568, 849, 519, 12343, 540, 18246, 4551, 936, 29115, 267, 26707, 686, 2670, 267, 610, 1256, 26711, 2451, 689, 5106, 269, 1280, 1296, 513, 3289, 4592, 531, 11017, 343, 666, 979, 32373, 539, 585, 519, 2601, 602, 621, 1419, 1281, 711, 9594, 1022, 10832, 269, 769, 930, 3871, 596, 949, 5963, 1745, 513, 19309, 23856, 7092, 267, 855, 1034, 540, 519, 942, 621, 568, 32373, 539, 1813, 547, 519, 1249, 540, 519, 3668, 540, 23053, 563, 30812, 1431, 9838, 547, 513, 3289, 4592, 531, 11017, 343, 2270, 912, 13695, 657, 531, 11017, 343, 1107, 713, 568, 950, 513, 2887, 26508, 8546, 568, 16041, 609, 10669, 543, 6238, 547, 22962, 689, 3330, 454, 295, 14670, 657, 531, 11017, 343, 1107, 901, 519, 1448, 856, 950, 621, 568, 28077, 609, 1973, 543, 12153, 519, 13740, 547, 1020, 883, 1253, 2105, 563, 11101, 267, 17808, 2887, 26508, 13740, 616, 15427, 676, 606, 28455, 269, 901, 568, 950, 8031, 616, 25983, 958, 4448, 676, 13164, 540, 32248, 5160, 267, 607, 513, 1439, 1267, 540, 2800, 267, 2564 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 333, 815, 703, 9272, 15405, 604, 562, 4939, 476, 736, 2652, 476, 271, 912, 825, 952, 562, 12262, 476, 736, 4939, 476, 273, 2652, 476, 271, 912, 1038, 1820, 263, 272, 994, 825, 3116, 912, 1038, 1820, 263, 736, 994, 12828, 912, 825, 952, 562, 12262, 476, 736, 4939, 476, 273, 2652, 476, 271, 912, 1038, 1820, 3799, 4939, 476, 736, 994, 825, 3116, 912, 1038, 1820, 263, 2641, 5991, 4939, 476, 736, 994, 0, 338, 284, 6358, 4590, 604, 521, 2525, 257, 288, 13426, 825, 1820, 2891, 307, 5602, 604, 521, 2525, 257, 307, 13426, 825, 1820, 2891, 288, 5602, 604, 521, 2525, 257, 290, 13426, 825, 1820, 2891, 294, 5602, 604, 521, 2525, 257, 294, 13426, 825, 1820, 2891, 290, 5602, 0, 338, 815, 1592, 9272, 15405, 333, 815, 1592, 263, 3553, 4433, 4917, 604, 7003, 4433, 264, 2652, 7003, 3799, 2187, 825, 1820, 2891, 13433, 5602, 12828, 912, 825, 1820, 2891, 7224, 5602, 0, 306, 815, 3403, 4590, 312, 312, 815, 703, 22829, 314, 271, 281, 273, 7481, 12613, 815, 703, 22829, 314, 273, 281, 275, 20285, 604, 476, 271, 2999, 962, 312, 10922, 476, 1321, 543, 476, 271, 2999, 27493, 10922, 476, 1321, 912, 825, 1820, 2891, 4456, 289, 5456, 308, 302, 4785, 5602, 19197, 476, 271, 10922, 962, 312, 10922, 476, 4200, 543, 476, 271, 2999, 27493, 10922, 476, 1321, 912, 825, 1820, 2891, 312, 312, 12613, 5602, 19197, 476, 271, 2999, 962, 312, 10922, 476, 1321, 543, 476, 271, 10922, 27493, 10922, 476, 4200, 912, 825, 1820, 2891, 12613, 312, 312, 5602, 12828, 912, 13537, 2891, 2793, 5602, 0, 28411, 815, 2715, 257, 288, 9899, 476, 1015, 267, 834, 289, 9899, 476, 1556, 267, 834, 290, 9899, 476, 1321, 267, 834, 291, 9899, 476, 1724, 267, 834, 292, 9899, 476, 1691, 267, 834, 293, 9899, 476, 1428, 8679, 343, 267, 586, 815, 3403, 14061, 20889, 10797, 604, 15279, 20572, 316, 3436, 15279, 314, 344, 14158, 825, 1820, 2891, 285, 5602, 19197, 15279, 20572, 316, 2999, 15279, 314, 344, 14158, 825, 1820, 2891, 283, 5602, 12828, 912, 825, 1820, 2891, 284, 5602, 0, 301, 815, 703, 9272, 15405, 311, 815, 1592, 9852, 777, 17301, 267, 3403, 14061, 20889, 3890, 11723, 343, 338, 815, 15044, 11583, 994, 4364, 1014, 272, 815, 1535, 338, 314, 301, 2260, 273, 268, 272, 2639, 4364, 1014, 273, 815, 1535, 338, 314, 301, 2260, 273, 6540, 1721, 1775, 538, 2039, 18217, 2187, 825, 952, 2473, 5157, 316, 2652, 11667, 272, 912, 1038, 1820, 263, 4364, 1014, 273, 994, 825, 8640, 2473, 5157, 316, 2652, 11667, 273, 912, 1038, 1820, 263, 4364, 1014, 272, 994, 825, 8640, 2473, 5157, 316, 2999, 11667, 272, 912, 1038, 1820, 263, 4364, 1014, 273, 994, 825, 8640, 2473, 5157, 316, 3436, 11667, 273, 912, 1038, 1820, 263, 4364, 1014, 272, 994, 0, 333, 815, 703, 9272, 15405, 333, 271, 815, 476, 273, 454, 333, 272, 815, 476, 272, 692, 604, 562, 2652, 476, 272, 912, 825, 1820, 263, 272, 994, 12828, 912, 825, 585, 9041, 538, 2039, 263, 272, 267, 562, 2187, 1038, 562, 271, 267, 562, 272, 815, 562, 272, 267, 562, 271, 266, 333, 272, 454, 825, 1820, 3799, 272, 994, 0, 338, 815, 1592, 9272, 31156, 604, 16733, 338, 29644, 3488, 306, 10807, 13843, 476, 272, 543, 521, 29644, 3488, 301, 10807, 13843, 476, 272, 264, 610, 630, 338, 29644, 3488, 306, 10807, 2652, 476, 271, 543, 521, 29644, 3488, 301, 10807, 2652, 476, 271, 4297, 543, 16733, 338, 29644, 3488, 310, 10807, 13843, 476, 272, 543, 521, 29644, 3488, 292, 10807, 13843, 476, 272, 264, 610, 630, 338, 29644, 3488, 310, 10807, 2652, 476, 271, 543, 521, 29644, 3488, 292, 10807, 2652, 476, 271, 15892, 825, 1820, 3488, 8133, 5073, 12828, 912, 825, 1820, 3488, 5591, 5073, 0, 320, 267, 536, 815, 1496, 842, 9272, 28829, 585, 1775, 538, 2039, 263, 273, 264, 6540, 604, 513, 2652, 476, 272, 543, 536, 2652, 476, 273, 912, 825, 1820, 263, 274, 994, 19197, 513, 2652, 476, 273, 543, 536, 2652, 476, 272, 912, 825, 1820, 263, 274, 994, 19197, 513, 2652, 476, 273, 543, 536, 2652, 476, 274, 912, 825, 1820, 263, 272, 994, 19197, 513, 2652, 476, 274, 543, 536, 2652, 476, 273, 912, 825, 1820, 263, 272, 994, 19197, 513, 2652, 476, 272, 543, 536, 2652, 476, 274, 912, 825, 1820, 263, 273, 994, 19197, 513, 2652, 476, 274, 543, 536, 2652, 476, 272, 912, 825, 1820, 263, 273, 994, 0, 258, 1607, 1982, 25221, 1018, 1826, 540, 8768, 1759, 593, 606, 3403, 543, 11708, 519, 2798, 780, 5814, 11885, 607, 5286, 454, 5228, 28189, 6155, 21648, 1115, 1104, 4452, 318, 597, 529, 454, 5228, 28189, 6230, 617, 601, 26000, 3005, 1104, 5721, 15305, 5334, 5902, 454, 5228, 28189, 269, 31371, 26092, 1104, 918, 10468, 662, 26092, 12218, 8595, 454, 5814, 21267, 28272, 607, 12301, 692, 597, 529, 815, 4452, 318, 597, 529, 4590, 28744, 263, 597, 529, 269, 12399, 15405, 28744, 263, 597, 529, 9131, 11907, 262, 7481, 28744, 263, 597, 529, 9131, 291, 2464, 10135, 262, 7481, 28744, 263, 597, 529, 9131, 339, 13759, 5332, 1868, 11172, 2020, 311, 17601, 267, 2473, 15305, 267, 586, 17601, 267, 586, 15305, 815, 5721, 15305, 5334, 5902, 263, 597, 529, 9131, 11907, 28710, 32640, 9131, 339, 13759, 28710, 4351, 26077, 284, 271, 2020, 330, 25699, 815, 918, 10468, 662, 26092, 12218, 8595, 3799, 318, 31371, 26092, 284, 272, 994, 330, 25699, 32265, 11583, 17601, 267, 586, 17601, 2020, 311, 318, 2908, 815, 5286, 15126, 31912, 272, 267, 273, 267, 272, 267, 273, 14963, 2020, 335, 1042, 2109, 815, 5679, 333, 4877, 9438, 11583, 318, 2908, 2020, 2745, 263, 597, 529, 9131, 339, 13759, 5332, 1868, 262, 6012, 335, 1042, 2109, 20285, 2745, 17347, 25699, 269, 16557, 11583, 15305, 267, 586, 15305, 11723, 10823, 31892, 2660, 263, 597, 529, 21606, 18020, 476, 271, 3910, 32640, 21606, 18020, 476, 272, 3910, 524, 284, 597, 529, 6745, 13759, 994, 10823, 11859, 16932, 3488, 572, 25659, 28747, 5073, 10823, 269, 29786, 3488, 572, 25659, 318, 12296, 5073, 845, 2660, 815, 12301, 12171, 15635, 13528, 2660, 10857, 10033, 1775, 267, 2608, 16911, 281, 32640, 6745, 13759, 5332, 1868, 27776, 9217, 264, 7481, 10823, 269, 10233, 8663, 6025, 6506, 17342, 271, 267, 476, 272, 267, 476, 273, 3910, 3898, 284, 845, 2660, 994, 10823, 20481, 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 ]
[ 568, 2404, 609, 519, 3395, 946, 540, 31680, 610, 4642, 2275, 19281, 517, 7554, 563, 15703, 19767, 1185, 849, 14059, 519, 2949, 15739, 32735, 689, 519, 1448, 540, 2070, 602, 930, 9836, 12402, 11478, 543, 1522, 581, 7753, 676, 7311, 513, 4341, 540, 14853, 281, 585, 3236, 267, 602, 9631, 3827, 540, 17099, 1522, 581, 6059, 607, 14354, 547, 519, 5666, 540, 17099, 602, 941, 267, 538, 1249, 267, 4080, 676, 1114, 2477, 610, 2127, 269, 6270, 17062, 5773, 2285, 2164, 602, 9004, 27753, 267, 676, 4214, 267, 855, 789, 3565, 4986, 547, 1620, 519, 4128, 585, 27753, 610, 519, 3268, 602, 1522, 581, 3144, 538, 519, 2104, 547, 2087, 519, 5817, 1239, 269, 2991, 17265, 971, 5773, 543, 19165, 267, 519, 11554, 9549, 5462, 789, 1223, 711, 5351, 538, 519, 8876, 856, 540, 922, 2596, 4305, 30147, 729, 547, 3715, 23674, 11941, 602, 1223, 581, 1500, 547, 1808, 2197, 610, 1858, 6589, 269, 4935, 267, 519, 1898, 5748, 540, 519, 4305, 540, 519, 11554, 9549, 729, 547, 4308, 609, 519, 2143, 1239, 13279, 2139, 693, 519, 8750, 543, 11992, 267, 543, 547, 4983, 9691, 519, 2298, 540, 519, 6151, 1239, 543, 519, 1184, 676, 799, 519, 1239, 941, 9184, 4327, 543, 10015, 730, 2066, 2477, 563, 273, 269, 10758, 294, 3198, 22003, 9569, 5508, 667, 25353, 645, 17955, 6730, 589, 2793, 14877, 306, 3041, 454, 2304, 6654, 1101, 1900, 538, 519, 2932, 540, 713, 1788, 729, 513, 2673, 6514, 676, 519, 14502, 16065, 540, 782, 519, 4540, 1239, 543, 1644, 1570, 269, 901, 729, 2944, 7620, 585, 519, 3486, 4747, 6589, 267, 543, 13604, 585, 519, 11288, 543, 4013, 4483, 6589, 269, 1280, 519, 4747, 6589, 519, 1292, 4247, 941, 547, 10891, 519, 8750, 779, 1239, 3490, 883, 12043, 1034, 3730, 585, 713, 1788, 543, 267, 607, 513, 5702, 1644, 4674, 267, 547, 10891, 513, 6252, 1239, 3490, 585, 13632, 540, 3444, 31215, 7221, 543, 20824, 269, 634, 2164, 540, 891, 3646, 267, 538, 513, 3810, 27772, 1106, 267, 2408, 538, 25715, 966, 563, 3080, 540, 519, 13542, 727, 3344, 540, 519, 3919, 540, 519, 1239, 3490, 729, 602, 972, 941, 4749, 1079, 610, 811, 8747, 540, 519, 1482, 18802, 269, 901, 4294, 711, 1152, 547, 519, 1239, 693, 519, 2197, 1377, 855, 849, 547, 519, 10015, 730, 1239, 602, 26857, 519, 2268, 540, 519, 2518, 15739, 32735, 593, 1699, 2272, 269, 1703, 616, 1114, 3800, 540, 602, 15739, 32735, 3370, 676, 519, 8750, 3294, 630, 514, 3487, 476, 273, 540, 519, 18696, 540, 9796, 906, 10803, 5729, 1504, 543, 538, 519, 13350, 2622, 9483, 31326, 264, 543, 676, 519, 31232, 630, 7343, 21043, 594, 1040, 11569, 267, 519, 8750, 1239, 616, 538, 513, 3586, 1533, 540, 14469, 267, 609, 2197, 22347, 3827, 7213, 6819, 543, 8750, 21501, 5773, 1373, 4294, 269, 5381, 2042, 8451, 538, 7231, 609, 519, 4139, 30914, 10803, 630, 296, 7034, 264, 3370, 10865, 676, 519, 8750, 538, 4139, 11038, 10803, 630, 9281, 306, 1040, 1306, 4330, 538, 25715, 594, 267, 621, 729, 4956, 547, 24644, 519, 4493, 540, 519, 8579, 960, 540, 519, 14502, 16065, 676, 12561, 519, 3370, 3666, 540, 11033, 1239, 585, 476, 2735, 274, 17729, 538, 519, 476, 2735, 276, 7160, 540, 519, 18696, 540, 9796, 906, 10803, 5729, 1504, 267, 543, 519, 30214, 1239, 585, 476, 2735, 274, 5097, 607, 789, 7902, 538, 519, 4873, 476, 2735, 277, 3390, 540, 594, 12396, 269, 769, 2663, 11271, 621, 568, 7074, 602, 8101, 26941, 4080, 1310, 602, 4266, 723, 1044, 11368, 538, 519, 960, 540, 519, 14502, 16065, 855, 723, 711, 1044, 5645, 1394, 883, 519, 3312, 1239, 3490, 563, 2691, 519, 2139, 1344, 593, 4747, 3181, 1080, 543, 17099, 729, 8947, 538, 1469, 267, 519, 1101, 1267, 729, 519, 8446, 540, 630, 272, 264, 513, 1279, 1592, 540, 3871, 538, 799, 519, 1239, 941, 2901, 7508, 610, 5693, 4413, 29347, 1881, 267, 630, 273, 264, 8579, 2853, 602, 941, 856, 540, 1900, 609, 519, 8750, 779, 15015, 267, 543, 630, 274, 264, 19518, 538, 519, 30843, 540, 1239, 269, 2368, 540, 891, 941, 5634, 267, 855, 3833, 513, 1906, 723, 513, 1713, 1764, 593, 6482, 540, 519, 2518, 1699, 2272, 15739, 32735, 543, 519, 5092, 4747, 5057, 269, 634, 14502, 16065, 729, 2111, 547, 12172, 1082, 540, 891, 3871, 609, 519, 948, 540, 519, 13163, 540, 10803, 543, 519, 2477, 7255, 267, 855, 513, 1297, 540, 2665, 540, 2956, 1869, 2154, 2417, 3408, 269, 769, 1249, 267, 835, 540, 519, 1271, 2164, 540, 713, 1788, 568, 602, 621, 786, 1683, 513, 1732, 4493, 585, 4797, 5188, 1063, 519, 13163, 543, 8989, 2477, 563, 5278, 540, 519, 3677, 22114, 941, 7000, 676, 8942, 547, 1118, 24845, 16198, 267, 610, 267, 1141, 2556, 267, 16198, 609, 6237, 13664, 1239, 1141, 2477, 3370, 971, 1239, 610, 1500, 621, 2139, 3842, 519, 2027, 18102, 4330, 2630, 269, 10251, 1152, 513, 1906, 2477, 1683, 13664, 1469, 540, 741, 3486, 8852, 267, 543, 1256, 950, 789, 798, 267, 519, 3741, 585, 1818, 971, 2736, 23957, 616, 865, 19635, 602, 16198, 616, 2484, 689, 3169, 269, 7324, 519, 2042, 616, 519, 6304, 540, 2883, 10827, 776, 7740, 543, 519, 5316, 1081, 540, 8852, 547, 519, 2197, 540, 519, 9304, 1031, 585, 8569, 610, 547, 21000, 3729, 519, 10697, 269, 11048, 267, 971, 16198, 666, 581, 3833, 5363, 952, 1031, 609, 24787, 269, 769, 1249, 267, 513, 1390, 4308, 540, 519, 960, 676, 519, 14502, 16065, 593, 1463, 5092, 4747, 8928, 543, 930, 540, 519, 2164, 538, 824, 2127, 616, 1759, 593, 519, 31921, 602, 666, 21230, 581, 6537, 689, 519, 13664, 1469, 602, 568, 2139, 563, 763, 1034, 3532, 1382, 4480, 585, 20392, 29927, 538, 519, 8989, 540, 14769, 4747, 568, 519, 7681, 540, 1239, 593, 4747, 8928, 609, 1239, 593, 13632, 540, 3444, 31215, 7221, 543, 20824, 269, 6270, 16198, 723, 13026, 1454, 540, 519, 1382, 4674, 540, 519, 14502, 16065, 269, 634, 1034, 1271, 1560, 540, 1239, 593, 3486, 10697, 543, 15668, 13632, 568, 519, 1239, 6394, 689, 8492, 676, 3084, 8128, 543, 19632, 676, 519, 645, 3041, 543, 519, 8750, 267, 607, 1134, 607, 676, 3084, 8128, 269, 634, 4747, 6976, 610, 4607, 593, 891, 6589, 814, 1831, 676, 2484, 519, 4102, 540, 519, 14769, 4747, 8928, 269, 634, 1239, 585, 891, 12948, 7158, 616, 2139, 538, 9645, 1469, 543, 5266, 3533, 630, 7343, 21043, 8633, 1916, 10574, 585, 13632, 540, 824, 14769, 7221, 616, 2352, 547, 3715, 267, 543, 519, 14502, 16065, 814, 1031, 513, 3099, 540, 2959, 543, 2409, 547, 3715, 10257, 14541, 12201, 269, 1452, 3646, 616, 4330, 538, 3848, 966, 269, 769, 2489, 267, 519, 1239, 1223, 581, 6059, 811, 3362, 689, 519, 2427, 540, 519, 7963, 832, 269, 4578, 593, 13632, 540, 4013, 15395, 7221, 610, 4013, 13800, 267, 543, 519, 1644, 26038, 267, 616, 5266, 1134, 3964, 563, 763, 2596, 25107, 1184, 3238, 585, 14769, 4747, 729, 547, 3313, 519, 13632, 540, 19736, 543, 12948, 7221, 543, 20824, 267, 547, 4019, 3928, 540, 2132, 267, 543, 1287, 5635, 1346, 2164, 609, 519, 4747, 1239, 3177, 676, 1367, 2477, 269, 898, 729, 2356, 711, 2009, 547, 6474, 971, 8928, 2047, 607, 1063, 1880, 10210, 619, 543, 32225, 267, 855, 621, 729, 2009, 267, 1369, 513, 10257, 14345, 585, 5470, 267, 547, 3313, 2436, 6237, 610, 2518, 1239, 593, 4747, 8928, 7703, 519, 8612, 2078, 547, 519, 5817, 13632, 269, 1635, 543, 1804, 519, 32259, 4747, 13366, 8604, 547, 581, 23674, 950, 3379, 609, 4830, 1239, 593, 13632, 540, 20824, 267, 8506, 1152, 5266, 1507, 16057, 11941, 267, 855, 972, 729, 7839, 896, 516, 1636, 532, 540, 5491, 13366, 563, 4415, 2463, 547, 519, 11288, 2272, 15739, 32735, 267, 972, 616, 1896, 4255, 602, 666, 581, 4294, 547, 3313, 2436, 13366, 616, 10257, 267, 855, 519, 2143, 1239, 2877, 547, 2932, 1346, 4255, 3927, 616, 1152, 13148, 2139, 269, 2201, 519, 32259, 2427, 621, 568, 2009, 547, 9305, 519, 2698, 26708, 6976, 593, 20558, 547, 519, 1871, 540, 20558, 543, 547, 9794, 2436, 519, 5223, 13352, 519, 8155, 585, 782, 2477, 269, 1717, 267, 519, 32259, 7127, 538, 519, 3486, 6589, 10039, 1152, 547, 20558, 5645, 538, 4914, 8043, 12544, 15059, 711, 2139, 538, 1082, 2665, 689, 519, 1239, 3921, 27274, 4080, 1765, 810, 602, 3606, 1239, 1590, 581, 5833, 267, 607, 729, 2944, 1210, 519, 18102, 9783, 676, 519, 11554, 9549, 269, 6744, 532, 519, 5491, 2427, 540, 519, 11288, 2272, 585, 1022, 2197, 949, 581, 811, 2352, 267, 1317, 519, 8043, 610, 824, 6283, 6703, 13234, 676, 7264, 711, 1152, 723, 15271, 1644, 547, 519, 18666, 540, 602, 2197, 855, 849, 723, 15271, 689, 3444, 2389, 10232, 1851, 4914, 2477, 269, 769, 713, 2013, 835, 2596, 4704, 1448, 1131, 581, 606, 4977, 2268, 540, 519, 4390, 540, 519, 19057, 13234, 676, 1142, 2197, 267, 865, 602, 519, 2671, 540, 602, 2197, 538, 2698, 26708, 15271, 1223, 581, 6059, 269, 6270, 1239, 616, 711, 4867, 2139, 538, 513, 1106, 5812, 609, 3666, 540, 11033, 8847, 267, 855, 519, 11554, 9549, 814, 8268, 519, 7872, 540, 3384, 873, 689, 4540, 2872, 5638, 269, 769, 519, 9000, 540, 5730, 1239, 540, 602, 1826, 267, 519, 2079, 540, 519, 11554, 9549, 729, 6322, 693, 10834, 519, 2078, 1063, 519, 896, 8063, 618, 540, 11288, 17099, 543, 519, 7805, 4390, 540, 519, 19057, 13234, 676, 2477, 711, 8989, 713, 6221, 547, 519, 8750, 9789, 968, 332, 1170, 532, 892, 18239, 269, 6270, 2164, 616, 2864, 10385, 531, 855, 789, 2482, 519, 24536, 585, 811, 2143, 2090, 563, 288, 2147, 1966, 6818, 538, 12394, 547, 2697, 519, 2959, 540, 519, 4130, 2121, 15739, 32735, 538, 519, 968, 1278, 892, 6283, 2272, 269, 7201, 713, 16144, 2477, 1058, 1867, 607, 3181, 1080, 519, 24723, 540, 741, 19057, 538, 4914, 16788, 543, 607, 17099, 519, 24723, 538, 741, 16788, 676, 4914, 19057, 269, 22410, 540, 519, 4080, 1239, 6920, 602, 1082, 2477, 3100, 547, 896, 8063, 741, 2256, 328, 14186, 540, 713, 1826, 269, 634, 11554, 9549, 814, 2919, 606, 21501, 1184, 602, 2798, 547, 519, 1034, 2693, 2665, 540, 896, 516, 1636, 532, 267, 855, 4890, 28303, 786, 2154, 1454, 811, 2143, 2197, 8386, 28029, 787, 2079, 269, 2201, 519, 824, 1688, 267, 971, 2823, 24723, 676, 519, 968, 332, 1170, 532, 892, 18239, 616, 849, 15534, 689, 519, 2594, 267, 543, 513, 4493, 585, 21501, 873, 1590, 581, 2919, 563, 763, 1382, 4640, 585, 7231, 609, 519, 15739, 32735, 538, 519, 796, 7528, 1243, 4483, 6589, 3238, 2864, 1114, 4485, 267, 855, 835, 1455, 3693, 729, 519, 946, 540, 513, 18102, 547, 29360, 607, 1454, 1469, 607, 2009, 593, 519, 2010, 540, 19132, 602, 941, 2921, 1747, 269, 630, 8450, 25715, 24163, 4700, 5047, 267, 693, 606, 2038, 3942, 538, 519, 1982, 540, 519, 11554, 9549, 267, 519, 4886, 26859, 9730, 630, 291, 3722, 264, 540, 519, 31232, 5342, 513, 5619, 547, 4217, 538, 29466, 519, 1034, 2693, 9072, 585, 1382, 883, 519, 15739, 32735, 269, 2986, 1576, 267, 519, 667, 3722, 13333, 5097, 609, 1239, 13859, 676, 20033, 2477, 543, 3096, 10169, 1114, 8847, 543, 3382, 1137, 982, 519, 8750, 267, 543, 1463, 16198, 609, 3666, 540, 11033, 5359, 941, 711, 13986, 269, 11048, 267, 593, 519, 4493, 540, 891, 1079, 12220, 621, 1058, 581, 2009, 547, 2087, 519, 4086, 1464, 540, 667, 3722, 1239, 543, 3666, 540, 11033, 1239, 538, 519, 1974, 6619, 269, 634, 18102, 6534, 930, 1804, 1808, 27753, 267, 2523, 1346, 5473, 1896, 3486, 5238, 267, 799, 666, 581, 1121, 539, 1221, 2899, 519, 2556, 6589, 616, 19632, 269, 769, 1840, 267, 972, 616, 930, 2010, 540, 19132, 630, 335, 5014, 267, 609, 3835, 532, 9204, 267, 1121, 8636, 1734, 540, 9813, 4600, 264, 602, 1915, 12264, 1267, 538, 835, 21758, 8989, 543, 585, 799, 519, 8750, 1058, 581, 2111, 547, 28433, 2409, 585, 4227, 519, 8989, 27753, 269, 1280, 519, 3476, 2196, 267, 519, 8750, 267, 1927, 609, 519, 667, 3722, 267, 786, 991, 547, 1020, 513, 1982, 585, 12805, 519, 1239, 593, 19132, 607, 16432, 689, 519, 5011, 540, 519, 22881, 543, 23700, 269, 6270, 513, 6476, 1223, 711, 581, 2944, 538, 519, 942, 2139, 547, 519, 11554, 9549, 267, 855, 621, 786, 581, 606, 1898, 32563, 547, 1821, 2358, 606, 7778, 540, 519, 6967, 15739, 32735, 563, 274, 269, 2475, 292, 5508, 32530, 3582, 2793, 7644, 2464, 6730, 12164, 306, 17109, 25972, 454, 3080, 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 ]
[ 281, 476, 7597, 1070, 27213, 630, 2735, 272, 281, 476, 10695, 1700, 275, 1070, 543, 7338, 630, 1220, 271, 281, 476, 1240, 267, 476, 29214, 1040, 4033, 8683, 1235, 5018, 538, 713, 4276, 616, 717, 3073, 5362, 630, 291, 8811, 548, 476, 3422, 273, 1070, 26194, 5362, 630, 303, 617, 548, 1188, 328, 476, 3422, 277, 281, 476, 3607, 280, 1700, 10170, 1070, 543, 4165, 13023, 517, 630, 288, 569, 476, 3422, 280, 476, 273, 281, 476, 13040, 1916, 263, 1428, 264, 966, 517, 12070, 600, 578, 6308, 5336, 334, 749, 754, 21807, 630, 5002, 276, 281, 476, 6321, 1040, 595, 325, 269, 13153, 12070, 600, 578, 6308, 5336, 334, 749, 754, 21807, 630, 4489, 2537, 281, 476, 9032, 1916, 263, 1626, 264, 15243, 344, 630, 4489, 274, 281, 476, 4366, 272, 1040, 589, 3622, 811, 2318, 2357, 18743, 729, 6603, 676, 3204, 523, 321, 4094, 630, 3422, 272, 281, 476, 1911, 1070, 945, 4718, 538, 519, 2876, 1559, 513, 4999, 540, 2413, 10686, 545, 626, 3466, 538, 594, 8205, 543, 811, 2757, 23723, 1014, 3909, 5784, 269, 595, 325, 269, 623, 2129, 6352, 345, 630, 3422, 272, 476, 273, 281, 476, 6977, 1916, 263, 2641, 264, 16474, 580, 331, 10730, 630, 4198, 279, 264, 11329, 856, 602, 774, 1075, 11770, 1938, 267, 538, 25412, 513, 7453, 12191, 593, 1010, 1570, 267, 1305, 513, 3044, 585, 2663, 12206, 543, 865, 1500, 4173, 617, 582, 639, 513, 7925, 3077, 585, 9880, 1765, 322, 761, 6291, 602, 1419, 15763, 519, 7965, 646, 5185, 538, 5935, 1010, 960, 269, 595, 325, 269, 1955, 1067, 342, 1695, 337, 630, 3422, 277, 281, 476, 1321, 2567, 2048, 2691, 4173, 617, 582, 639, 9112, 519, 1101, 1950, 18340, 960, 538, 5259, 3332, 12544, 960, 15180, 532, 519, 594, 2993, 611, 538, 9165, 1765, 515, 1185, 547, 6427, 513, 1062, 602, 1131, 581, 4111, 1043, 1510, 519, 948, 540, 513, 9244, 2919, 2245, 10200, 11531, 267, 774, 1075, 11770, 1938, 685, 2239, 729, 16271, 547, 811, 7920, 22987, 267, 609, 519, 8699, 540, 1010, 6811, 556, 3887, 1998, 18050, 538, 519, 1769, 540, 513, 3395, 8226, 540, 519, 5339, 3337, 540, 1010, 960, 269, 2201, 713, 1294, 267, 552, 3052, 1421, 681, 797, 630, 1960, 279, 320, 264, 543, 667, 1168, 12245, 630, 1220, 276, 1916, 263, 2420, 264, 1306, 513, 4358, 1448, 538, 713, 4901, 267, 4063, 13153, 674, 761, 345, 630, 3422, 278, 281, 476, 22659, 2567, 2048, 2662, 7241, 1570, 4173, 617, 582, 639, 1185, 693, 1010, 12871, 585, 1010, 1686, 267, 972, 666, 581, 1100, 8969, 602, 621, 729, 4173, 617, 582, 639, 5128, 945, 5795, 621, 519, 3337, 538, 799, 649, 1224, 621, 9957, 595, 325, 269, 15776, 5652, 630, 3192, 278, 281, 476, 15996, 1040, 1280, 519, 1909, 540, 519, 4173, 617, 1774, 534, 15669, 267, 1294, 667, 1168, 12245, 630, 2735, 278, 267, 476, 1220, 273, 1070, 3057, 514, 3712, 320, 630, 2735, 278, 1070, 543, 632, 808, 784, 630, 1960, 280, 267, 476, 1220, 275, 321, 1040, 31131, 3344, 540, 519, 2876, 1559, 685, 6881, 616, 5941, 954, 620, 807, 676, 23894, 630, 3192, 272, 1070, 29154, 564, 630, 3192, 272, 267, 476, 1220, 273, 1070, 18999, 630, 2735, 275, 1070, 543, 7043, 630, 2735, 278, 1916, 263, 2767, 264, 552, 3052, 269, 632, 808, 784, 630, 1220, 273, 264, 538, 1200, 2079, 540, 519, 2497, 540, 519, 11359, 1433, 540, 519, 2876, 1559, 267, 4101, 1866, 547, 2491, 519, 1599, 540, 519, 1650, 540, 519, 717, 788, 1506, 516, 534, 28334, 630, 276, 269, 6872, 1700, 8618, 1040, 623, 2454, 630, 1220, 278, 321, 264, 543, 16189, 5459, 630, 1220, 278, 264, 4473, 547, 713, 4161, 269, 595, 325, 269, 519, 1935, 540, 16189, 5459, 630, 1220, 272, 1040, 22630, 630, 1220, 273, 264, 12220, 4173, 617, 582, 639, 685, 2110, 2984, 543, 519, 13346, 14046, 4485, 547, 873, 563, 263, 3451, 264, 4173, 617, 582, 639, 685, 946, 540, 1585, 19621, 3631, 538, 5935, 1010, 2239, 568, 5941, 2630, 267, 6032, 269, 476, 5325, 1700, 7871, 563, 263, 3374, 264, 1924, 267, 552, 3052, 1421, 966, 663, 1853, 630, 1960, 272, 281, 476, 280, 2567, 2048, 7197, 5640, 723, 8959, 4628, 547, 8275, 602, 972, 568, 513, 2243, 827, 1946, 543, 875, 4173, 617, 582, 639, 1031, 519, 26704, 607, 10353, 547, 519, 3140, 1826, 540, 7778, 282, 789, 723, 3274, 10924, 602, 4173, 617, 582, 639, 1705, 267, 610, 1705, 711, 267, 16174, 1063, 7242, 543, 1686, 267, 543, 723, 1759, 741, 13220, 540, 519, 2876, 1559, 593, 741, 10054, 19028, 263, 4391, 264, 29321, 548, 779, 3310, 1223, 581, 2938, 538, 25761, 1568, 899, 10965, 749, 779, 12603, 9980, 1372, 1188, 2426, 964, 2983, 626, 525, 630, 1080, 1101, 7160, 17729, 538, 476, 3707, 277, 1070, 543, 538, 519, 1568, 540, 519, 3943, 7293, 1235, 899, 31996, 656, 630, 3422, 273, 1070, 945, 11130, 602, 267, 1927, 609, 543, 19962, 547, 519, 4473, 540, 519, 1135, 529, 543, 519, 13373, 7321, 540, 21257, 267, 513, 1007, 267, 2048, 874, 3342, 28441, 685, 1259, 540, 3206, 7960, 538, 10255, 602, 538, 1114, 2081, 8179, 547, 5372, 513, 2048, 332, 2814, 673, 685, 7154, 540, 2219, 563, 263, 4343, 264, 717, 746, 630, 1960, 280, 1070, 585, 3236, 267, 11329, 856, 602, 519, 26704, 11407, 540, 5259, 13357, 3177, 513, 1617, 20884, 28706, 2203, 602, 1223, 8449, 1134, 581, 1572, 27291, 282, 4107, 267, 538, 1010, 1557, 1008, 665, 8271, 11331, 2048, 5804, 8298, 657, 547, 631, 3578, 657, 685, 630, 1960, 280, 1070, 4951, 875, 519, 7521, 827, 519, 4644, 540, 5259, 14868, 547, 519, 4207, 1158, 6591, 791, 28127, 538, 22733, 10601, 15806, 685, 10580, 267, 6466, 5929, 1235, 538, 2489, 941, 1543, 547, 1353, 873, 1369, 741, 3140, 2796, 269, 1280, 513, 2487, 6268, 540, 519, 544, 3578, 657, 270, 8421, 2214, 6897, 640, 1294, 681, 269, 700, 269, 674, 578, 2401, 630, 1001, 272, 1916, 263, 4375, 264, 31489, 630, 3192, 275, 281, 476, 28510, 1700, 24062, 264, 1185, 17298, 606, 4505, 3407, 556, 3887, 1998, 6672, 540, 519, 544, 3578, 657, 270, 8421, 657, 8701, 640, 269, 6736, 1010, 15984, 547, 513, 811, 7294, 4528, 540, 519, 2048, 5228, 2507, 1729, 685, 5098, 267, 646, 632, 24554, 539, 519, 2165, 2048, 332, 2814, 673, 3206, 685, 538, 11685, 547, 2048, 8421, 673, 267, 10952, 267, 9836, 7744, 9957, 1261, 11130, 602, 621, 729, 519, 2048, 333, 1155, 543, 1252, 1275, 685, 540, 519, 2038, 3465, 4531, 18267, 685, 1843, 540, 1353, 602, 13747, 873, 689, 4589, 899, 31928, 1675, 267, 855, 14284, 606, 7778, 538, 2474, 540, 2048, 320, 1007, 7154, 540, 3206, 9957, 634, 3465, 4531, 18267, 7550, 513, 4719, 2203, 630, 704, 4257, 6508, 689, 7242, 1070, 6466, 4589, 899, 25264, 543, 31928, 1675, 1031, 9836, 3631, 547, 19665, 741, 14868, 630, 653, 269, 476, 27768, 1700, 278, 267, 476, 4968, 1700, 272, 1916, 263, 6078, 264, 6423, 519, 6679, 3184, 540, 2836, 877, 630, 1960, 277, 5148, 32647, 269, 2836, 877, 630, 1960, 280, 1070, 543, 1294, 849, 5489, 1329, 928, 630, 2735, 272, 267, 476, 1220, 271, 1070, 945, 10645, 602, 2048, 332, 2814, 685, 568, 9247, 606, 22733, 10601, 4020, 269, 31611, 338, 630, 1960, 271, 320, 264, 1293, 1229, 5489, 1329, 928, 779, 9097, 2070, 543, 11130, 20310, 569, 602, 519, 16380, 1705, 538, 1249, 723, 513, 7121, 540, 2757, 8941, 602, 14687, 547, 938, 10206, 540, 2048, 332, 2814, 17483, 263, 5655, 264, 901, 4214, 7252, 689, 519, 2126, 540, 7242, 540, 5062, 10468, 650, 630, 2735, 277, 320, 1070, 945, 13187, 602, 267, 2094, 519, 10700, 5168, 786, 2760, 581, 25189, 267, 2048, 332, 2814, 626, 800, 685, 568, 519, 1655, 14207, 1022, 14787, 666, 2097, 909, 609, 281, 2048, 6343, 4667, 3020, 547, 835, 14787, 786, 3100, 7301, 547, 1776, 267, 865, 835, 779, 14787, 779, 5168, 3587, 1776, 779, 7242, 267, 1256, 693, 519, 4090, 540, 19039, 766, 685, 630, 335, 269, 476, 274, 1040, 1280, 513, 1114, 1620, 540, 2048, 332, 2814, 626, 5566, 685, 32538, 267, 1294, 15616, 817, 517, 267, 713, 4320, 267, 932, 269, 476, 279, 563, 263, 6246, 264, 4436, 14172, 538, 1880, 8179, 547, 16174, 2048, 3240, 2195, 685, 689, 2048, 27714, 2145, 525, 8730, 26471, 547, 519, 5449, 7121, 8941, 538, 799, 519, 10143, 5129, 606, 1271, 1909, 269, 12054, 1400, 538, 713, 814, 1044, 808, 565, 956, 685, 661, 8882, 5995, 4813, 523, 630, 3422, 279, 476, 275, 281, 17611, 269, 476, 11011, 1700, 10219, 1040, 595, 325, 269, 7101, 1069, 12329, 630, 4350, 279, 281, 476, 5038, 1070, 945, 8591, 513, 6101, 21205, 547, 2048, 332, 2814, 685, 676, 31552, 922, 2048, 17763, 2045, 685, 1915, 281, 2048, 324, 514, 513, 18255, 754, 525, 267, 27524, 614, 27688, 538, 4414, 324, 575, 2131, 548, 573, 26347, 23548, 516, 604, 523, 964, 717, 7238, 1777, 997, 1156, 3768, 3541, 654, 3881, 685, 630, 8072, 320, 2062, 321, 5317, 1620, 540, 519, 10143, 543, 519, 1158, 267, 8052, 1117, 10564, 1227, 538, 4633, 685, 1916, 263, 5325, 264, 19129, 269, 476, 1240, 269, 2568, 278, 1700, 279, 267, 476, 2641, 269, 4198, 1700, 278, 267, 543, 32647, 269, 31928, 1675, 634, 690, 3415, 476, 24783, 563, 263, 4366, 264, 1924, 589, 269, 645, 269, 32008, 630, 1220, 278, 281, 740, 1327, 12175, 595, 325, 269, 4856, 3250, 320, 630, 1960, 274, 281, 740, 476, 275, 269, 3607, 269, 273, 1040, 19162, 879, 630, 1960, 271, 281, 476, 10019, 1700, 278, 264, 2798, 547, 519, 4527, 540, 519, 2376, 630, 2023, 544, 3578, 517, 267, 476, 273, 269, 2537, 1070, 799, 10522, 602, 4173, 617, 582, 639, 4016, 547, 513, 544, 3578, 657, 602, 568, 1634, 547, 1010, 5304, 269, 1261, 6811, 602, 4173, 617, 582, 639, 538, 1312, 8320, 5219, 547, 544, 3578, 16211, 538, 799, 1261, 322, 1092, 324, 639, 5156, 267, 19163, 602, 15074, 16230, 630, 8072, 296, 14902, 8730, 476, 275, 269, 3607, 269, 273, 264, 1058, 581, 2938, 607, 606, 782, 4288, 547, 1261, 322, 1092, 324, 639, 685, 1101, 23650, 281, 11876, 328, 6095, 18774, 25207, 333, 16230, 333, 2845, 16211, 3542, 16211, 751, 737, 2967, 15074, 334, 1470, 328, 630, 8072, 1721, 519, 2845, 16211, 540, 519, 16380, 616, 1082, 543, 14902, 762, 8730, 674, 26364, 295, 476, 272, 267, 674, 269, 476, 272, 1916, 263, 5392, 264, 9214, 323, 1043, 2845, 16211, 281, 476, 278, 269, 20969, 269, 273, 267, 476, 279, 269, 15686, 282, 1850, 1580, 320, 281, 476, 278, 269, 20385, 269, 276, 269, 595, 325, 269, 519, 4082, 522, 340, 16537, 320, 682, 613, 514, 281, 476, 272, 269, 9264, 269, 272, 267, 476, 273, 269, 10463, 269, 274, 267, 476, 275, 269, 276, 269, 272, 267, 476, 275, 269, 1839, 269, 272, 267, 476, 275, 269, 5655, 269, 275, 267, 476, 276, 269, 10436, 269, 274, 267, 476, 279, 269, 6344, 269, 595, 325, 1421, 1932, 267, 1261, 322, 1092, 324, 639, 685, 1101, 23650, 267, 1657, 267, 562, 269, 476, 4366, 269, 31035, 689, 8763, 23053, 267, 4173, 617, 582, 639, 666, 946, 9940, 4633, 547, 5815, 602, 646, 1281, 711, 9886, 2407, 17258, 547, 513, 1978, 2245, 267, 1498, 9940, 4633, 630, 4186, 9009, 547, 1018, 568, 4122, 10924, 264, 991, 711, 2141, 17538, 521, 1061, 6291, 281, 1294, 570, 269, 26858, 630, 1220, 271, 320, 281, 476, 27886, 1700, 2004, 1070, 632, 25234, 12027, 630, 1220, 278, 281, 476, 8182, 1700, 4281, 1070, 543, 267, 538, 713, 4320, 267, 632, 25234, 12027, 267, 932, 269, 476, 274, 267, 6032, 269, 476, 14862, 1700, 276, 267, 543, 632, 808, 784, 267, 932, 269, 476, 275, 267, 6032, 269, 476, 14530, 1700, 273, 563, 263, 2004, 264, 2201, 1702, 607, 513, 1883, 21205, 585, 23243, 2048, 332, 2814, 685, 689, 2048, 20931, 685, 538, 4173, 617, 582, 639, 267, 1294, 19926, 274, 2630, 563, 263, 7906, 264, 769, 1249, 267, 1354, 18573, 779, 5019, 698, 23768, 476, 17168, 322, 630, 517, 799, 1294, 2630, 267, 533, 269, 476, 5392, 1070, 1100, 2312, 15244, 540, 971, 513, 7811, 4334, 723, 1044, 1336, 538, 5259, 3332, 282, 32647, 269, 11370, 868, 517, 630, 1960, 275, 281, 476, 1321, 1700, 1724, 1040, 31611, 338, 630, 1960, 271, 320, 281, 476, 273, 1700, 279, 1070, 2705, 267, 2798, 547, 513, 8574, 538, 14163, 2684, 6951 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 513, 11879, 5811, 4828, 910, 14430, 302, 342, 331, 2593, 589, 2565, 2079, 1557, 568, 513, 2442, 7084, 538, 782, 3872, 5238, 543, 568, 606, 1271, 851, 540, 519, 3872, 1982, 269, 769, 519, 1576, 540, 1603, 267, 1053, 711, 1152, 3986, 741, 1603, 1983, 855, 849, 3489, 1082, 824, 1983, 1519, 2565, 2542, 267, 2565, 3206, 267, 543, 7421, 269, 31898, 5566, 5811, 4828, 281, 5675, 9669, 267, 20895, 543, 6201, 1403, 865, 267, 1205, 4712, 585, 513, 7008, 540, 26208, 269, 2991, 782, 267, 519, 9266, 6364, 540, 519, 1362, 568, 606, 6673, 2296, 981, 282, 543, 267, 519, 1898, 851, 540, 6673, 2296, 1449, 568, 1557, 1603, 269, 2859, 10502, 267, 596, 786, 723, 547, 2347, 1614, 1114, 1557, 2010, 267, 543, 8458, 616, 2443, 835, 540, 891, 2010, 786, 581, 513, 17720, 2079, 1957, 269, 7300, 12726, 16520, 5811, 4828, 910, 1085, 553, 323, 3820, 454, 31535, 875, 547, 2328, 606, 10763, 1557, 568, 513, 1883, 547, 1603, 1082, 824, 2010, 540, 4081, 10467, 281, 689, 12819, 547, 10282, 1557, 269, 898, 949, 581, 513, 4429, 295, 8582, 9215, 654, 305, 25492, 589, 700, 25604, 14473, 589, 2793, 14877, 306, 3041, 11536, 6347, 312, 5675, 6038, 1630, 2812, 1524, 547, 519, 1646, 540, 606, 2856, 269, 2659, 6662, 538, 1603, 513, 5339, 2079, 1557, 568, 547, 18609, 519, 1268, 2542, 707, 1557, 602, 3267, 4934, 23164, 543, 5675, 606, 30551, 4828, 910, 6796, 306, 3874, 476, 1556, 5463, 476, 1001, 277, 3267, 1635, 1210, 606, 7291, 267, 596, 723, 513, 1747, 547, 1376, 543, 513, 3898, 547, 1246, 269, 3502, 1603, 606, 10763, 1557, 286, 901, 7291, 786, 1869, 798, 1034, 540, 519, 2182, 3267, 1215, 547, 3503, 606, 30551, 4828, 281, 476, 275, 14168, 17778, 1923, 18049, 21756, 476, 1556, 4239, 476, 1001, 278, 3267, 3657, 596, 519, 4990, 540, 1268, 945, 14560, 547, 6961, 513, 1448, 286, 1403, 865, 267, 1287, 1603, 606, 10763, 1557, 1522, 581, 1318, 909, 707, 620, 2917, 269, 769, 1249, 267, 621, 781, 513, 1390, 4429, 20578, 30551, 4828, 269, 12829, 20578, 16240, 3820, 634, 10763, 1557, 666, 581, 513, 3787, 540, 513, 7455, 3440, 267, 952, 596, 1810, 1406, 1174, 519, 9238, 269, 3680, 519, 1455, 25354, 609, 10763, 1557, 1383, 269, 4605, 2079, 1557, 1383, 1107, 586, 2174, 519, 4605, 540, 546, 20187, 12457, 2565, 2079, 1557, 1383, 1957, 513, 5339, 15730, 3332, 543, 11786, 2418, 3732, 1434, 1383, 1557, 3584, 1107, 737, 2993, 336, 17839, 2593, 0, 268, 476, 272, 1548, 13492, 666, 513, 476, 272, 1032, 2025, 798, 888, 268, 476, 273, 1548, 616, 1434, 476, 274, 1032, 2025, 13492, 888, 268, 476, 274, 1548, 666, 594, 798, 609, 1250, 22525, 779, 1148, 888, 268, 476, 275, 1215, 798, 596, 4739, 609, 513, 22525, 888, 268, 476, 276, 1548, 22916, 976, 616, 1434, 585, 20854, 888, 268, 476, 277, 1548, 1058, 594, 798, 609, 1250, 476, 1240, 3923, 2025, 782, 1554, 888, 268, 476, 278, 1548, 666, 594, 4001, 1250, 476, 274, 1032, 2025, 693, 1753, 888, 268, 476, 279, 1548, 616, 1187, 1919, 547, 798, 609, 513, 476, 274, 1032, 2025, 888, 268, 476, 280, 1548, 568, 3860, 2238, 585, 20854, 888, 268, 476, 1015, 1548, 616, 1434, 476, 273, 1032, 2025, 13492, 888, 268, 476, 1556, 1548, 798, 596, 798, 609, 782, 3214, 1148, 888, 268, 476, 1321, 1548, 616, 5042, 2238, 585, 20854, 888, 268, 476, 1724, 1548, 616, 930, 1187, 543, 2653, 13492, 547, 798, 693, 1753, 888, 268, 476, 1691, 1548, 2085, 568, 513, 22525, 888, 268, 476, 1428, 1548, 666, 594, 27106, 609, 1250, 22525, 888, 1432, 13492, 666, 513, 476, 272, 1032, 2025, 798, 888, 296, 4126, 713, 1592, 540, 3860, 2238, 585, 20854, 26182, 596, 543, 707, 2370, 835, 267, 1510, 519, 2604, 547, 3132, 602, 3501, 960, 540, 1148, 912, 268, 24484, 609, 1216, 563, 268, 570, 792, 543, 15441, 563, 268, 674, 5424, 5862, 593, 2025, 546, 807, 704, 10833, 563, 268, 27006, 610, 23788, 563, 268, 11676, 828, 22827, 593, 9910, 547, 974, 11435, 563, 268, 5463, 28672, 6802, 9469, 563, 1432, 616, 1434, 476, 274, 1032, 2025, 13492, 888, 2641, 7435, 335, 17673, 8342, 11242, 1280, 476, 274, 5729, 6196, 338, 454, 268, 962, 27073, 674, 4456, 6579, 312, 623, 18306, 6938, 3951, 306, 563, 268, 595, 19181, 19447, 19181, 645, 7419, 29369, 700, 3722, 5058, 595, 19181, 563, 268, 5254, 312, 4629, 23859, 4456, 674, 23360, 22494, 5442, 589, 595, 19181, 19447, 19181, 21398, 311, 589, 12702, 2752, 296, 9331, 563, 268, 590, 3201, 307, 667, 5495, 21203, 631, 5308, 288, 2975, 570, 6579, 2464, 563, 268, 17834, 2177, 590, 13263, 10790, 32578, 563, 268, 661, 31769, 595, 11286, 2177, 17241, 10499, 563, 268, 12601, 28475, 31165, 595, 32323, 16249, 674, 7419, 1107, 476, 275, 11555, 3201, 14877, 674, 7419, 9517, 292, 3008, 563, 268, 17676, 11553, 19860, 21764, 744, 310, 299, 623, 4338, 2207, 595, 6938, 10499, 563, 1432, 666, 594, 798, 609, 1250, 22525, 779, 1148, 888, 1789, 3860, 22525, 13492, 543, 1148, 3785, 547, 2119, 2336, 268, 24484, 538, 513, 9126, 4445, 609, 606, 1843, 563, 268, 5269, 1360, 2241, 17580, 5862, 609, 18506, 563, 268, 29895, 707, 22525, 543, 723, 873, 2721, 2933, 513, 1582, 268, 1636, 11681, 2336, 268, 24484, 609, 513, 4216, 267, 930, 3615, 543, 21199, 621, 909, 563, 268, 2422, 513, 1570, 789, 2648, 563, 268, 5269, 16493, 2336, 1692, 798, 596, 4739, 609, 513, 22525, 888, 866, 27207, 585, 25595, 6840, 2334, 654, 517, 1406, 20121, 5797, 2659, 5851, 454, 268, 10790, 17395, 623, 6369, 312, 667, 5495, 21203, 563, 268, 12650, 675, 4256, 7435, 21646, 538, 17865, 667, 965, 563, 268, 10925, 4256, 13574, 853, 2086, 593, 12085, 563, 268, 8347, 4256, 7435, 693, 14175, 11312, 17865, 3203, 563, 268, 24484, 609, 7935, 19233, 563, 268, 12414, 10965, 871, 5384, 883, 513, 25676, 547, 6196, 5839, 291, 10735, 779, 12426, 563, 268, 5269, 623, 3591, 1834, 21178, 1157, 3933, 9094, 563, 1432, 22916, 976, 616, 1434, 585, 20854, 888, 763, 7454, 595, 2001, 976, 585, 25595, 6840, 1411, 2052, 19255, 593, 8835, 454, 268, 595, 2001, 7637, 3733, 3689, 26054, 717, 8692, 595, 2001, 976, 563, 268, 589, 4041, 311, 12789, 269, 570, 1824, 3689, 595, 2001, 976, 563, 268, 26006, 560, 6506, 476, 1911, 260, 26192, 2142, 525, 342, 1314, 595, 2001, 976, 563, 268, 589, 4041, 311, 1677, 903, 11676, 513, 14878, 10060, 595, 2001, 517, 563, 268, 595, 2001, 7637, 3733, 3689, 25169, 762, 25676, 617, 595, 2001, 976, 563, 268, 589, 4041, 311, 1677, 903, 9741, 24732, 12426, 674, 532, 619, 595, 2001, 976, 563, 1432, 1058, 594, 798, 609, 1250, 476, 1240, 3923, 2025, 782, 1554, 888, 12244, 14313, 585, 476, 1321, 268, 476, 1240, 13600, 1107, 6196, 338, 454, 268, 25080, 16707, 1299, 7591, 1684, 327, 563, 268, 18789, 700, 3424, 519, 4469, 777, 3883, 609, 5403, 16927, 1206, 563, 268, 674, 5424, 28523, 564, 8274, 7734, 563, 268, 853, 22326, 21610, 20535, 595, 5725, 563, 268, 853, 3863, 338, 538, 606, 2506, 27679, 267, 21311, 4826, 15636, 1479, 563, 268, 631, 4428, 514, 570, 514, 7822, 23037, 563, 268, 12085, 2334, 3619, 674, 3881, 7591, 3901, 563, 268, 11676, 828, 8490, 2349, 4169, 563, 1432, 666, 594, 4001, 1250, 476, 274, 1032, 2025, 693, 1753, 888, 6826, 2386, 547, 2203, 543, 1397, 707, 6689, 547, 798, 891, 1983, 519, 1318, 1259, 865, 602, 789, 1810, 1406, 1832, 8026, 1945, 519, 4636, 1259, 563, 268, 23239, 754, 7591, 563, 268, 10606, 543, 25478, 563, 268, 16707, 543, 16319, 585, 22073, 547, 3367, 563, 268, 8447, 11314, 267, 11846, 267, 543, 15775, 31072, 563, 268, 8000, 1399, 9751, 563, 1432, 616, 1187, 1919, 547, 798, 609, 513, 476, 274, 1032, 2025, 888, 4037, 28064, 11242, 585, 476, 274, 5729, 6196, 338, 454, 268, 7591, 323, 965, 609, 3819, 838, 698, 515, 26152, 563, 268, 19130, 513, 3349, 609, 2835, 543, 1224, 267, 1224, 267, 1224, 563, 268, 667, 22259, 609, 1159, 11481, 12508, 593, 21312, 689, 707, 22120, 10822, 563, 268, 7591, 4387, 609, 31119, 563, 268, 6875, 513, 3802, 543, 6968, 585, 4778, 563, 268, 7591, 609, 13410, 563, 268, 6733, 693, 1920, 6337, 1927, 563, 268, 8073, 609, 22019, 543, 6529, 9925, 1564, 563, 1432, 568, 3860, 2238, 585, 20854, 888, 24478, 633, 2238, 281, 3308, 1148, 543, 13492, 454, 268, 2422, 8900, 10051, 1957, 20061, 610, 1507, 5068, 14569, 547, 1118, 513, 12470, 564, 1268, 610, 3662, 563, 268, 2422, 2067, 1570, 563, 268, 4855, 513, 1360, 1804, 21312, 4216, 543, 1577, 707, 1126, 30164, 621, 1210, 22916, 976, 267, 19267, 543, 824, 23598, 563, 268, 5269, 10822, 22811, 338, 676, 7148, 532, 1079, 8900, 16003, 20061, 1927, 563, 1432, 616, 1434, 476, 273, 1032, 2025, 13492, 888, 763, 1655, 13492, 585, 20854, 454, 268, 13067, 17360, 853, 10102, 14958, 563, 268, 7433, 17934, 6129, 14958, 563, 268, 10266, 1540, 12815, 320, 3026, 1188, 331, 864, 14958, 563, 268, 23516, 27006, 14958, 563, 268, 7433, 19067, 26540, 14958, 563, 268, 595, 831, 18339, 541, 6129, 13906, 7815, 14958, 563, 268, 7201, 519, 7256, 18014, 17934, 14958, 563, 268, 14175, 11312, 10326, 14958, 563, 1432, 798, 596, 798, 609, 782, 3214, 1148, 888, 1432, 547, 798, 609, 3214, 2048, 11247, 454, 268, 10426, 930, 2059, 547, 519, 22594, 563, 268, 2422, 621, 607, 10516, 16833, 610, 607, 6486, 563, 268, 15585, 622, 519, 1655, 11247, 538, 14604, 563, 268, 5901, 804, 13616, 6302, 609, 513, 11280, 16886, 514, 4604, 563, 268, 5901, 4859, 6302, 609, 513, 11280, 4216, 563, 268, 6875, 6337, 540, 519, 1148, 563, 268, 570, 1601, 621, 563, 1432, 616, 5042, 2238, 585, 20854, 888, 290, 4321, 2238, 585, 20854, 2048, 3965, 454, 268, 670, 4575, 543, 4466, 3615, 563, 268, 12502, 2044, 30053, 267, 2984, 267, 543, 2206, 17038, 29330, 563, 268, 14594, 543, 1297, 3756, 563, 268, 11822, 13467, 543, 5773, 563, 268, 590, 15659, 7306, 267, 5546, 267, 543, 4778, 563, 268, 631, 10248, 3756, 543, 13410, 563, 268, 8551, 543, 13492, 563, 268, 29892, 3544, 543, 9683, 4025, 563, 1432, 616, 930, 1187, 543, 2653, 13492, 547, 798, 693, 1753, 888, 292, 6470, 18789, 27207, 25175, 2052, 1684, 454, 268, 9791, 3933, 6945, 4364, 21642, 3203, 563, 268, 16514, 17828, 25048, 6261, 1682, 538, 3687, 2373, 563, 268, 7433, 19331, 601, 24305, 16836, 563, 268, 1715, 4944, 1653, 23268, 21178, 6621, 623, 1824, 563, 268, 9315, 4580, 570, 4209, 23268, 268, 28275, 563, 268, 3933, 6945, 674, 14513, 7579, 531, 654, 805, 327, 563, 268, 18789, 5455, 7094, 539, 29879, 595, 1251, 8274, 563, 268, 2422, 715, 841, 14470, 547, 8073, 3057, 16940, 966, 582, 1161, 563, 1432, 2085, 568, 513, 22525, 888, 307, 15957, 2401, 281, 476, 272, 268, 274, 586, 3464, 269, 2659, 1126, 568, 14027, 689, 26638, 4724, 543, 883, 519, 9251, 1296, 269, 4438, 713, 942, 267, 1010, 2168, 2208, 543, 5179, 1646, 786, 3500, 267, 855, 596, 666, 2503, 547, 1294, 930, 16854, 7214, 267, 1514, 267, 543, 3929, 2242, 563, 1432, 666, 594, 27106, 609, 1250, 22525, 888, 1015, 11822, 31204, 1677, 29130, 2659, 25595, 2401, 1677, 645, 1136, 454, 268, 28688, 17786, 6853, 595, 1389, 563, 268, 28688, 9466, 773, 595, 820, 563, 268, 11197, 543, 853, 3863, 9440, 631, 4428, 1231, 563, 268, 11918, 1299, 23081, 14777, 774, 3518, 2745, 13648, 625, 563, 268, 30722, 14465, 3570, 13648, 625, 563, 268, 19748, 517, 4354, 323, 1299, 9791, 9440, 10753, 2378, 595, 820, 563, 268, 28688, 932, 760, 13648, 625, 563, 268, 17491, 6363, 872, 14465, 3570, 595, 820, 269, 0, 1432, 568, 623, 26714, 888, 7628, 28689, 267, 2021, 4122, 1995, 930, 11213, 25574, 269, 8616, 267, 930, 2021, 3068, 3665, 25574, 1169, 1554, 269, 5221, 25574, 616, 865, 4122, 14437, 827, 267, 1082, 2021, 949, 26777, 713, 269, 1717, 267, 713, 1522, 581, 12443, 1097, 10973, 9065, 776, 6794, 630, 303, 26714, 1070, 799, 5540, 693, 2547, 476, 278, 260, 540, 2937, 2021, 269, 623, 26714, 568, 513, 1950, 10285, 1062, 2783, 602, 814, 519, 2589, 540, 2362, 543, 4088, 2157, 267, 18492, 12150, 885, 267, 543, 5924, 1507, 30219, 593, 835, 610, 1312, 30124, 269, 14451, 543, 4088, 2157, 666, 1291, 547, 824, 2175, 267, 971, 607, 2799, 18383, 267, 670, 15077, 583, 1143, 630, 935, 1288, 1141, 8951, 1332, 4158, 267, 1576, 4552, 538, 4025 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2991, 930, 4374, 540, 3206, 543, 19003, 267, 1053, 723, 513, 8273, 2856, 610, 3390, 547, 2007, 883, 269, 1358, 849, 723, 930, 13057, 1523, 2055, 610, 3515, 540, 14374, 563, 10743, 8359, 835, 540, 519, 2093, 689, 741, 16540, 609, 741, 3237, 543, 519, 2146, 630, 5408, 3105, 9708, 1040, 1358, 2219, 827, 621, 267, 543, 998, 5717, 267, 789, 10443, 621, 998, 930, 12086, 912, 268, 21518, 789, 5461, 538, 519, 2856, 888, 268, 16393, 789, 1223, 1205, 1344, 827, 602, 2856, 888, 268, 12984, 621, 1945, 1004, 941, 6158, 827, 856, 972, 2221, 888, 268, 16393, 789, 8936, 621, 547, 1945, 2199, 543, 2518, 888, 763, 8545, 1079, 2055, 616, 4101, 585, 3446, 476, 276, 1053, 543, 3576, 930, 2937, 3403, 269, 1358, 2461, 1869, 3206, 827, 741, 2199, 4296, 609, 741, 5545, 3610, 563, 19853, 2462, 2093, 616, 4241, 269, 1703, 779, 3388, 689, 2230, 22938, 543, 519, 2042, 621, 3123, 267, 3381, 3014, 8213, 267, 14015, 7816, 547, 19498, 543, 2068, 563, 9202, 649, 5249, 593, 1523, 12454, 2055, 269, 1358, 16540, 539, 513, 1592, 540, 693, 2547, 476, 1626, 266, 2055, 827, 741, 2462, 3390, 543, 1287, 6836, 547, 960, 1346, 2055, 883, 519, 2035, 269, 1403, 789, 4718, 1025, 3471, 267, 789, 1287, 6836, 547, 1589, 540, 513, 2243, 1210, 930, 1523, 12454, 2055, 269, 4841, 941, 2731, 1434, 827, 4947, 909, 609, 1757, 566, 610, 968, 25585, 892, 2055, 267, 799, 2982, 930, 1434, 2866, 1282, 741, 623, 24688, 1296, 269, 594, 729, 14281, 621, 7012, 1406, 782, 1106, 2055, 269, 1284, 723, 1044, 17265, 2035, 609, 519, 1053, 269, 634, 2262, 532, 267, 25473, 267, 4667, 1007, 547, 873, 269, 3371, 779, 519, 1523, 6656, 649, 1031, 269, 8729, 547, 7711, 1562, 3415, 320, 585, 713, 563, 763, 661, 3201, 4116, 543, 594, 1312, 12649, 891, 2035, 609, 873, 267, 9781, 875, 649, 1522, 979, 827, 4947, 909, 609, 1434, 1523, 2055, 269, 901, 7300, 609, 5961, 267, 2055, 543, 930, 1523, 16627, 5280, 607, 1134, 269, 1358, 1287, 8359, 741, 1034, 4277, 2055, 547, 581, 741, 13057, 14374, 2055, 630, 528, 3515, 540, 14374, 1040, 8409, 2055, 1185, 547, 979, 998, 513, 6882, 607, 1134, 269, 16393, 649, 2626, 621, 538, 513, 835, 30087, 2626, 286, 6496, 621, 2731, 2232, 938, 2462, 3390, 286, 1684, 649, 1416, 827, 602, 2243, 888, 3383, 267, 649, 8694, 909, 609, 513, 3561, 267, 3838, 609, 519, 1153, 2146, 543, 593, 938, 1362, 5816, 269, 3776, 7172, 4115, 568, 849, 2324, 547, 948, 1053, 1205, 2200, 267, 799, 1352, 779, 4687, 593, 8644, 7666, 1938, 267, 513, 1360, 3579, 5399, 1382, 3135, 563, 10932, 532, 543, 5816, 3101, 616, 741, 1985, 7887, 4247, 269, 1358, 4076, 13175, 930, 18759, 593, 741, 1895, 623, 24688, 1401, 22128, 5816, 563, 10932, 532, 568, 865, 11566, 585, 782, 540, 721, 269, 2859, 593, 930, 5363, 15388, 4388, 538, 519, 1985, 2022, 269, 0, 26364, 345, 830, 330, 779, 28601, 476, 1704, 31891, 10960, 5020, 15610, 568, 519, 1820, 3044, 585, 6671, 3662, 4704, 10070, 269, 1809, 1053, 543, 3173, 2221, 991, 6422, 2200, 602, 6536, 4901, 543, 2565, 3206, 269, 2334, 779, 1946, 6182, 345, 830, 330, 543, 717, 1446, 2709, 606, 2228, 3070, 602, 5036, 519, 25162, 585, 3102, 543, 23674, 3662, 1344, 1247, 14123, 5872, 563, 26364, 345, 830, 330, 779, 10960, 5020, 568, 513, 3501, 1383, 540, 519, 1007, 5108, 540, 2200, 689, 717, 1446, 713, 2887, 267, 2966, 609, 3755, 538, 2247, 269, 4790, 14688, 8242, 609, 5013, 267, 5515, 267, 3377, 543, 5784, 267, 713, 3239, 11656, 4199, 568, 513, 3020, 3872, 1995, 1141, 513, 2656, 7552, 547, 1265, 1808, 1344, 666, 1291, 547, 519, 7287, 547, 2263, 543, 1451, 811, 269, 901, 2887, 267, 3755, 786, 581, 6273, 676, 912, 268, 772, 928, 638, 4705, 3795, 2443, 811, 982, 476, 275, 267, 1822, 2249, 19040, 676, 2549, 874, 756, 2103, 267, 20002, 267, 12551, 267, 24538, 338, 267, 769, 591, 974, 18093, 267, 26495, 1023, 543, 1234, 696, 3796, 267, 1519, 1344, 593, 4720, 267, 7226, 267, 2623, 267, 2039, 543, 811, 454, 268, 8191, 5511, 267, 9263, 24595, 1543, 2443, 8242, 5781, 676, 513, 5001, 3060, 540, 4966, 454, 268, 661, 848, 540, 946, 2443, 15138, 2645, 899, 7317, 2039, 7851, 543, 606, 16022, 8818, 1577, 3755, 3605, 1247, 849, 5885, 3978, 4081, 1382, 454, 268, 9012, 17381, 2443, 5215, 540, 6337, 267, 7851, 267, 7044, 267, 8301, 13475, 543, 811, 454, 5522, 10165, 3986, 906, 1331, 912, 268, 1323, 322, 16736, 3584, 2443, 971, 607, 13155, 2249, 267, 1979, 2345, 267, 22300, 2831, 543, 1866, 454, 268, 28214, 540, 2146, 2443, 8220, 4966, 267, 7855, 543, 3755, 454, 268, 11879, 3206, 3255, 2443, 14637, 3407, 1983, 2877, 547, 5963, 4983, 2152, 543, 875, 789, 9305, 547, 1866, 454, 268, 15099, 21374, 2443, 1543, 14687, 547, 2817, 3163, 15099, 454, 3725, 3161, 4266, 568, 12096, 476, 1220, 280, 269, 0, 2419, 31779, 807, 568, 513, 16770, 10299, 3968, 602, 5540, 5176, 476, 272, 538, 476, 736, 16770, 3742, 2021, 538, 519, 5177, 267, 1818, 621, 835, 540, 519, 1034, 1455, 590, 30454, 538, 519, 2197, 563, 32481, 29235, 19317, 829, 1298, 540, 2021, 543, 3368, 540, 782, 2367, 609, 669, 31779, 807, 798, 711, 4159, 1022, 2589, 269, 769, 1346, 2665, 1141, 2589, 616, 1459, 1107, 799, 666, 4125, 606, 8966, 11166, 610, 8781, 14815, 1247, 2712, 3215, 1107, 789, 616, 1419, 865, 7646, 602, 519, 1268, 609, 519, 3968, 1281, 711, 29311, 4376, 568, 4636, 269, 1280, 713, 2601, 669, 31779, 807, 568, 1419, 1634, 607, 519, 2048, 338, 559, 550, 685, 2068, 563, 2252, 2451, 15860, 267, 519, 669, 31779, 807, 3968, 786, 5555, 3262, 547, 519, 10285, 8219, 543, 2899, 972, 621, 666, 2014, 8628, 3441, 269, 769, 930, 2665, 519, 669, 31779, 807, 4551, 786, 1291, 547, 6553, 540, 519, 10652, 6665, 267, 14124, 519, 12096, 26508, 13740, 602, 3560, 5798, 689, 519, 30124, 547, 519, 27042, 267, 4929, 873, 547, 1831, 17808, 543, 3247, 2324, 269, 19994, 17771, 12982, 2068, 666, 1291, 547, 513, 8611, 543, 538, 4686, 2665, 666, 1256, 581, 1272, 17116, 563, 7212, 621, 568, 711, 7543, 513, 585, 513, 4807, 609, 17808, 12096, 26508, 13740, 547, 1831, 9176, 267, 972, 568, 513, 7494, 2799, 4960, 540, 519, 9087, 28127, 3384, 519, 13740, 2864, 982, 538, 519, 27042, 269, 901, 2783, 267, 1634, 607, 606, 28341, 8084, 6379, 267, 666, 1291, 547, 513, 1272, 18446, 2783, 607, 519, 8546, 949, 5555, 16802, 4929, 3978, 4835, 11702, 563, 2419, 31779, 807, 814, 849, 1044, 5532, 547, 31761, 543, 16349, 4332, 269, 769, 930, 8320, 267, 519, 3968, 666, 581, 5293, 689, 3993, 547, 4816, 267, 2901, 1282, 519, 4332, 610, 1354, 267, 799, 666, 2014, 519, 1126, 547, 581, 4535, 609, 31792, 26628, 543, 16415, 563, 7212, 932, 31779, 807, 666, 581, 5701, 543, 23174, 609, 513, 2241, 1576, 540, 11216, 1107, 1256, 952, 596, 616, 9176, 610, 20418, 1107, 519, 1249, 602, 1082, 540, 1346, 609, 519, 3968, 798, 711, 29311, 602, 789, 723, 621, 1797, 1082, 2021, 1831, 1102, 1068, 850, 11032, 947, 3320, 269, 634, 1482, 4551, 602, 568, 3743, 585, 4929, 669, 31779, 807, 568, 849, 513, 3056, 2014, 540, 28824, 21901, 538, 1082, 2694, 540, 519, 1158, 563, 1103, 2367, 669, 31779, 807, 666, 3468, 519, 13740, 602, 4163, 10729, 689, 519, 15485, 856, 540, 519, 4050, 529, 610, 1256, 547, 519, 17150, 14189, 269, 898, 666, 849, 1860, 12680, 676, 4929, 519, 1449, 2873, 543, 13740, 602, 3560, 14203, 547, 2220, 749, 909, 267, 7303, 14203, 689, 1373, 5950, 269, 589, 4686, 28658, 267, 811, 1419, 2938, 538, 2367, 982, 2021, 267, 568, 6553, 540, 519, 10549, 267, 1634, 607, 1234, 3438, 779, 6794, 282, 2705, 267, 972, 568, 513, 2067, 15485, 1587, 602, 2021, 666, 849, 1491, 563, 2791, 666, 581, 7318, 585, 669, 31779, 807, 676, 3246, 707, 4387, 609, 513, 10729, 3732, 563, 2252, 596, 616, 8995, 609, 519, 3968, 596, 786, 711, 917, 875, 1279, 596, 723, 1185, 519, 3968, 585, 610, 945, 596, 9575, 621, 689, 269, 901, 666, 581, 5393, 2352, 547, 2097, 547, 2474, 609, 543, 621, 949, 948, 585, 596, 547, 2911, 998, 519, 2152, 609, 5234, 693, 707, 2199, 3782, 8998, 269, 1403, 596, 8488, 5275, 2126, 596, 2196, 519, 1981, 540, 519, 3968, 4929, 811, 3978, 2042, 563, 5194, 3390, 5532, 547, 519, 3668, 540, 2589, 568, 602, 267, 8259, 1312, 4891, 616, 5701, 693, 519, 1482, 942, 267, 972, 568, 513, 2178, 7872, 602, 835, 7649, 786, 3274, 5368, 2739, 519, 824, 267, 10213, 707, 7649, 827, 707, 31969, 593, 942, 1223, 1118, 519, 3017, 563, 26466, 4520, 2657, 2709, 932, 31779, 807, 13281, 543, 9615, 0, 7468, 7752, 2131, 16217, 557, 523, 27958, 538, 2836, 332, 14484, 687, 454, 22416, 24444, 910, 7313, 655, 676, 2398, 7752, 2131, 16217, 557, 523, 27958, 538, 2836, 332, 14484, 687, 454, 763, 4075, 6681, 3020, 25752, 547, 10430, 2676, 8005, 729, 608, 6150, 676, 16077, 781, 1688, 2676, 8005, 6368, 1036, 7134, 1010, 17599, 2676, 4517, 12199, 1134, 607, 646, 1185, 2220, 1941, 563, 2691, 1010, 4651, 729, 7166, 2676, 3891, 729, 609, 28194, 4904, 2676, 4517, 547, 4789, 646, 10443, 2676, 2026, 689, 10430, 646, 729, 17049, 563, 3891, 1287, 9709, 1010, 2132, 1134, 2676, 2026, 646, 6785, 646, 1131, 979, 998, 22946, 2676, 2414, 1205, 20947, 585, 1010, 4651, 781, 12638, 2676, 1607, 1185, 3361, 10430, 513, 2603, 540, 21898, 563, 3891, 729, 1634, 547, 581, 1434, 2676, 3080, 2141, 6785, 1141, 646, 11542, 2676, 4517, 729, 9237, 2429, 2676, 3891, 2322, 16077, 547, 3535, 563, 288, 1390, 4622, 646, 2968, 2676, 5475, 16077, 646, 512, 3139, 2676, 13706, 622, 543, 1390, 2676, 3891, 729, 513, 4622, 1606, 5593, 563, 4467, 906, 827, 29346, 676, 2398, 7752, 2131, 16217, 557, 523, 27958, 538, 2836, 332, 14484, 687, 454, 5649, 713, 6648, 538, 824, 4654, 454, 1607, 6648, 814, 711, 1044, 12261, 883, 1022, 824, 1893, 2943, 563, 26170, 594, 22547, 454, 763, 10003, 3502, 570, 2586, 454, 2252, 1411, 1280, 1326, 2725, 454, 10955, 3258, 30129, 26766, 454, 1805, 25891, 1635, 28418, 2201, 589, 16176, 344, 4634, 532, 454, 296, 1684, 3502, 11146, 1411, 31453, 5221, 594, 11146, 1411, 0, 763, 9978, 7126, 630, 8170, 2353, 4658, 264, 910, 7313, 655, 676, 18238, 595, 1442, 22641, 454, 4754, 649, 711, 1451, 454, 5228, 938, 14552, 543, 19946, 454, 6011, 2182, 621, 568, 547, 1491, 454, 325, 516, 4520, 1394, 2899, 789, 1491, 3180, 888, 4754, 649, 711, 1294, 519, 1871, 2676, 1492, 1318, 547, 8917, 543, 581, 18886, 2676, 1492, 1318, 547, 3717, 543, 581, 4862, 2676, 16838, 693, 519, 1942, 540, 2729, 888, 4754, 649, 711, 1294, 454, 7474, 713, 6370, 568, 5001, 888, 1729, 11177, 5191, 543, 15683, 454, 1729, 519, 1480, 5198, 2336, 1492, 2596, 2924, 540, 782, 1004, 454, 1729, 960, 267, 547, 3548, 267, 543, 723, 12062, 19601, 1729, 13236, 267, 543, 581, 1480, 2676, 732, 693, 7196, 2336, 4467, 906, 827, 634, 9978, 7126, 630, 8170, 2353, 4658, 264, 676, 18238, 595, 1442, 22641, 454, 5649, 713, 6648, 538, 824, 4654, 454, 1607, 6648, 814, 711, 1044, 12261, 883, 1022, 824, 1893, 2943, 563, 26170, 594, 22547, 454, 763, 10003, 3502, 570, 2586, 454, 2252, 1411, 1280, 1326, 2725, 454, 10955, 3258, 30129, 26766, 454, 1805, 25891, 1635, 28418, 2201, 589, 16176, 344, 4634, 532, 454, 296, 1684, 3502, 11146, 1411, 31453, 5221, 594, 11146, 1411 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 581, 519, 1034, 18164, 827, 519, 5697, 3898, 269, 1879, 596, 3346, 873, 267, 596, 786, 991, 547, 1683, 873, 609, 519, 2985, 2140, 267, 15745, 267, 543, 519, 4266, 593, 799, 596, 10272, 519, 6221, 563, 2252, 513, 2923, 10697, 568, 2139, 585, 4647, 267, 513, 4647, 7735, 786, 1397, 538, 519, 2539, 1318, 7944, 540, 519, 2923, 21951, 6885, 269, 1403, 1100, 4647, 610, 4688, 7735, 10525, 267, 596, 786, 581, 8572, 547, 4647, 610, 4688, 519, 1570, 563, 763, 1257, 593, 713, 2985, 568, 7792, 543, 949, 581, 1031, 538, 13076, 609, 938, 16301, 540, 6796, 6876, 563, 268, 7102, 2170, 1161, 593, 713, 2985, 666, 1152, 581, 15600, 543, 1031, 1247, 596, 616, 4867, 19855, 938, 3135, 269, 1411, 786, 711, 581, 2111, 547, 4647, 2170, 1161, 563, 763, 2165, 968, 325, 1872, 1438, 10553, 892, 4016, 547, 1022, 1367, 945, 7307, 547, 25176, 8474, 538, 519, 942, 3056, 909, 547, 543, 1519, 519, 1977, 6406, 2782, 269, 769, 2489, 267, 789, 8179, 25113, 538, 4516, 610, 538, 1863, 2829, 538, 519, 3345, 267, 1247, 8419, 630, 6518, 1185, 1044, 896, 5053, 6392, 585, 513, 942, 264, 729, 849, 513, 2442, 10278, 269, 630, 8450, 849, 519, 4563, 12054, 514, 3421, 4700, 3416, 331, 8491, 7606, 538, 3013, 723, 24714, 547, 9101, 689, 741, 18544, 543, 3343, 9675, 538, 824, 2477, 2094, 519, 4098, 540, 519, 10553, 4123, 269, 968, 2304, 1202, 520, 4192, 19818, 585, 5191, 2223, 1767, 590, 12282, 563, 268, 634, 5354, 540, 10437, 941, 796, 14445, 730, 543, 1185, 2370, 610, 1100, 2724, 267, 607, 1134, 607, 1906, 267, 952, 1022, 267, 5370, 563, 268, 769, 1931, 547, 3914, 3106, 538, 513, 1863, 1533, 610, 538, 4516, 267, 1082, 2196, 25498, 1185, 547, 29906, 9645, 5195, 593, 3723, 267, 799, 789, 1705, 538, 1082, 2665, 563, 268, 634, 5354, 540, 1346, 945, 941, 8120, 547, 741, 5411, 941, 16271, 547, 4049, 10751, 538, 606, 4674, 547, 25339, 1866, 689, 12394, 547, 25176, 563, 268, 5221, 540, 519, 16854, 2168, 7411, 540, 519, 22116, 547, 5191, 267, 519, 5354, 540, 10437, 945, 7307, 547, 9101, 941, 1762, 9038, 267, 2864, 982, 2021, 563, 268, 2991, 519, 1646, 540, 519, 26789, 21805, 267, 513, 3060, 540, 7606, 543, 2922, 8075, 602, 1185, 2919, 936, 1082, 1296, 547, 4217, 2196, 12537, 10437, 593, 741, 1726, 802, 5087, 267, 535, 1872, 1438, 10437, 685, 9101, 2968, 12863, 585, 513, 1974, 540, 942, 563, 268, 4340, 547, 930, 9193, 267, 519, 968, 571, 559, 5802, 892, 19443, 607, 1082, 607, 476, 3583, 267, 1822, 1004, 630, 8117, 9193, 2039, 689, 476, 2412, 267, 1822, 547, 476, 1911, 267, 1822, 264, 538, 741, 3646, 547, 26602, 760, 622, 2933, 689, 8474, 1063, 476, 5197, 271, 543, 476, 5908, 276, 563, 268, 634, 2196, 25498, 1131, 2951, 538, 1507, 2516, 1282, 519, 3781, 267, 3006, 8720, 513, 3845, 540, 476, 1015, 547, 476, 736, 5195, 630, 1626, 547, 476, 3953, 5998, 264, 1063, 5721, 10473, 267, 7683, 4881, 519, 8594, 540, 1373, 25370, 9150, 539, 563, 268, 634, 5354, 540, 519, 942, 267, 741, 1007, 2729, 538, 519, 865, 10777, 1863, 2829, 941, 711, 3648, 1732, 982, 741, 3105, 3283, 593, 519, 24873, 563, 763, 8574, 540, 519, 674, 1872, 1438, 32013, 2920, 1993, 476, 6977, 271, 267, 799, 4847, 585, 5230, 22717, 547, 581, 26550, 1221, 1996, 4896, 945, 7679, 1229, 609, 513, 10553, 26782, 538, 519, 1184, 540, 973, 2194, 1005, 535, 1872, 1438, 10437, 543, 7142, 1876, 10276, 7593, 8387, 547, 4217, 538, 519, 973, 2194, 675, 540, 2196, 25498, 267, 28978, 519, 3510, 538, 519, 3345, 1256, 2417, 563, 268, 2368, 540, 1346, 945, 7307, 547, 25176, 4050, 2740, 29946, 593, 741, 610, 1372, 1023, 543, 519, 9465, 789, 11402, 593, 741, 7552, 547, 3106, 538, 519, 5087, 563, 268, 1323, 2417, 960, 267, 32013, 5020, 538, 9098, 543, 17996, 282, 610, 267, 17823, 1399, 13012, 540, 26913, 538, 519, 8828, 2276, 540, 3013, 263, 5908, 274, 1070, 12211, 519, 1650, 540, 513, 10553, 1572, 14731, 12658, 878, 630, 27271, 838, 3881, 12049, 878, 610, 19291, 1070, 945, 729, 16271, 547, 27337, 881, 5208, 693, 519, 3946, 540, 1010, 4487, 563, 268, 634, 1763, 18675, 540, 8361, 968, 26213, 892, 9466, 693, 519, 12425, 13482, 4741, 898, 568, 13269, 538, 606, 3768, 730, 3376, 2515, 9783, 538, 11785, 607, 519, 1763, 18675, 540, 8361, 968, 26213, 892, 9466, 267, 799, 3576, 1747, 538, 15740, 563, 268, 634, 7732, 540, 6837, 568, 4092, 538, 6115, 267, 667, 5861, 563, 268, 1261, 568, 1101, 4904, 609, 10761, 693, 519, 20185, 602, 646, 814, 15354, 693, 513, 1863, 2783, 563, 268, 14332, 773, 779, 19291, 30463, 568, 513, 12092, 563, 268, 14332, 773, 779, 17855, 540, 19291, 30463, 607, 513, 535, 1872, 1438, 10553, 729, 3370, 607, 519, 3382, 11247, 585, 513, 4062, 540, 6656, 2575, 267, 634, 674, 1872, 1438, 779, 14576, 267, 602, 729, 2854, 585, 543, 6131, 547, 30463, 538, 476, 7277, 276, 563, 1607, 4805, 729, 2614, 547, 14927, 523, 519, 818, 323, 528, 540, 1250, 15131, 563, 4913, 267, 594, 729, 7753, 609, 20420, 563, 305, 684, 12537, 10437, 685, 2833, 616, 6719, 538, 513, 1297, 540, 4583, 1568, 540, 1977, 3332, 267, 1519, 4498, 28625, 2142, 1815, 615, 853, 578, 324, 779, 634, 25753, 2280, 14594, 563, 14976, 21289, 20831, 568, 513, 535, 1872, 1438, 10553, 945, 769, 513, 2147, 18916, 267, 13343, 538, 4460, 30805, 779, 3209, 634, 24601, 540, 670, 22976, 9440, 18373, 263, 6642, 275, 264, 568, 606, 23012, 10553, 945, 581, 325, 12188, 543, 1219, 1742, 670, 3089, 563, 1103, 570, 18223, 31513, 779, 3532, 303, 592, 12688, 15356, 20421, 3209, 14582, 3437, 267, 513, 3791, 267, 811, 2413, 26841, 540, 519, 2833, 540, 513, 535, 1872, 1438, 568, 5143, 689, 519, 5133, 540, 606, 3979, 1977, 4807, 630, 2735, 278, 1916, 2005, 568, 1759, 593, 3020, 2621, 543, 28420, 519, 2239, 540, 5590, 515, 267, 513, 535, 1872, 1438, 945, 23297, 547, 6146, 1200, 1762, 4819, 2864, 982, 1450, 9887, 547, 581, 9676, 543, 29802, 676, 1200, 3061, 832, 269, 10878, 23449, 2349, 3784, 326, 729, 519, 2278, 540, 519, 1034, 2487, 14469, 543, 9337, 547, 713, 2376, 563, 2691, 10503, 513, 3060, 540, 5870, 9634, 267, 6456, 11507, 267, 15102, 267, 543, 2922, 17346, 1031, 676, 10437, 538, 519, 2136, 2276, 547, 9101, 10553, 3620, 13783, 2829, 543, 3343, 9675, 538, 7187, 2829, 543, 4516, 267, 519, 26789, 21805, 729, 5219, 547, 607, 519, 26789, 21805, 630, 7838, 1040, 634, 11895, 16456, 267, 799, 729, 3964, 538, 519, 2038, 476, 5197, 271, 338, 543, 23032, 676, 7606, 3742, 538, 519, 589, 2513, 819, 626, 11873, 267, 19443, 5215, 540, 10437, 538, 741, 8942, 547, 9101, 6125, 720, 269, 9737, 476, 8687, 271, 543, 476, 6977, 271, 267, 621, 568, 6059, 602, 476, 1911, 267, 1822, 10437, 23012, 689, 6125, 720, 538, 519, 7013, 2136, 2276, 563, 293, 9711, 267, 1344, 543, 4930, 827, 519, 26789, 21805, 454, 288, 2889, 343, 1493, 1032, 540, 4332, 281, 476, 9965, 271, 454, 763, 20297, 540, 519, 1977, 6406, 2782, 7018, 1472, 519, 1032, 476, 5908, 273, 563, 15307, 23660, 2039, 1063, 476, 277, 267, 1822, 543, 476, 1015, 267, 1822, 563, 19604, 28625, 31793, 2006, 568, 513, 3140, 4137, 269, 5261, 12846, 568, 513, 1134, 8153, 2278, 543, 10564, 269, 2274, 12858, 3213, 742, 514, 568, 513, 14070, 1915, 2813, 676, 2278, 2274, 12858, 3213, 742, 514, 269, 3627, 12876, 7615, 568, 513, 1134, 8153, 2278, 563, 763, 9452, 540, 1215, 4516, 645, 1815, 877, 519, 15937, 13749, 593, 519, 26789, 21805, 4498, 28625, 31793, 2006, 779, 22684, 607, 513, 15213, 674, 7660, 543, 513, 1975, 542, 568, 1134, 13006, 563, 763, 23548, 25751, 2986, 519, 26789, 21805, 454, 10214, 1354, 519, 13524, 2540, 267, 621, 5526, 602, 513, 7271, 547, 4217, 2196, 25498, 11478, 269, 769, 476, 9965, 277, 267, 6723, 6115, 6829, 27025, 8351, 609, 519, 6351, 3177, 547, 835, 540, 1010, 23012, 10437, 676, 968, 320, 3919, 540, 2372, 5474, 267, 8547, 585, 971, 5301, 1848, 634, 16241, 5980, 540, 14886, 267, 610, 2372, 5474, 607, 789, 616, 811, 13166, 1634, 267, 941, 1851, 519, 1101, 20552, 626, 3906, 547, 10836, 269, 4256, 3310, 949, 723, 5129, 513, 1909, 538, 12425, 4742, 519, 1101, 1533, 547, 13373, 880, 8474, 267, 799, 729, 1753, 547, 513, 1804, 1297, 540, 2372, 5474, 563, 1103, 6284, 540, 1010, 7418, 267, 2274, 12858, 568, 1419, 5219, 547, 607, 519, 968, 26078, 1211, 540, 519, 26789, 21805, 1848, 769, 674, 20667, 4975, 267, 11882, 267, 593, 11882, 779, 7262, 8473, 267, 519, 5216, 268, 3336, 18518, 1753, 789, 11751, 543, 1031, 607, 513, 968, 23667, 892, 1354, 789, 3357, 547, 595, 32385, 10620, 814, 1044, 12873, 543, 568, 1631, 513, 2817, 19866, 8092, 5658, 563, 763, 26789, 21805, 717, 1115, 4706, 8745, 454, 302, 30591, 9466, 267, 519, 4651, 540, 9097, 20552, 626, 3627, 9466, 267, 729, 513, 4759, 540, 519, 26789, 21805, 538, 519, 1533, 540, 1715, 3840, 1282, 519, 6406, 2782, 269, 1323, 14955, 325, 3305, 539, 2239, 5267, 602, 968, 300, 20632, 22123, 892, 11280, 519, 2777, 1141, 14062, 12493, 779, 2104, 7385, 267, 6307, 25595, 12493, 267, 8057, 909, 543, 6039, 607, 513, 2922, 2777, 1141, 535, 1872, 14476, 1223, 4309, 1426, 267, 855, 519, 2272, 568, 8969, 995, 269, 13705, 525, 540, 519, 26789, 21805, 898, 729, 711, 2394, 519, 2038, 476, 8146, 271, 338, 602, 519, 8360, 968, 15152, 3033, 21805, 892, 729, 1101, 1031, 563, 293, 1872, 14476, 2469, 676, 1216, 610, 593, 9758, 14884, 941, 12212, 3177, 609, 7802, 865, 602, 789, 9327, 1406, 2285, 2933, 2476, 676, 9849, 741, 12816, 13050, 2816, 30933, 563, 6624, 540, 873, 4797, 593, 547, 4516, 267, 1141, 789, 1223, 711, 581, 1876, 2685, 556, 13094, 676, 741, 1318, 995, 5411, 563, 763, 10553, 610, 10437, 941, 7142, 547, 25176, 689, 741, 18544, 267, 799, 729, 4749, 2944, 693, 3781, 269, 898, 729, 16122, 602, 519, 2196, 25498, 2226, 741, 4064, 593, 519, 3345, 10060, 693, 782, 2053, 282, 1152, 676, 5329, 602, 5182, 538, 4395, 540, 873, 1223, 789, 581, 1978, 602, 789, 941, 593, 741, 7552, 5087, 563, 3519, 2265, 832, 2201, 634, 21805, 454, 288, 968, 17238, 528, 2223, 945, 5910, 2105, 547, 581, 513, 10553, 267, 1131, 3006, 13173, 535, 1872, 14476, 547, 513, 24873, 538, 1931, 547, 1291, 873, 593, 741, 3460, 269, 4498, 28625, 31793, 2006, 267, 513, 5449, 10553, 945, 14612, 547, 10553, 2829, 476, 866, 2053, 543, 5391, 23306, 811, 982, 476, 4968, 1004, 267, 568, 835, 540, 519, 1034, 1134, 8153, 968, 17238, 832, 1848, 2701, 1031, 1200, 8929, 30516, 547, 21279, 2669, 547, 1022, 3061, 1161, 945, 4503, 2295, 543, 8179, 547, 2132, 547, 8474, 269, 634, 26789, 21805, 779, 12427, 5185, 741, 1378, 1305, 540, 4220, 607, 1134, 269, 1403, 2576, 2713, 538, 519, 3345, 729, 26722, 540, 21528, 535, 1872, 14476, 538, 741, 9101, 267, 646, 610, 1352, 1223, 3068, 22717, 540, 7366, 610, 1256, 5215, 540, 9489, 267, 799, 729, 513, 1713, 2040, 693, 519, 942, 282, 2705, 267, 538, 2127, 1141, 20552, 1143, 729, 2178, 267, 519, 968, 572, 4038, 892, 16456, 729, 16175, 13234, 267, 543, 1100, 835, 729, 18486, 563, 14367, 2990, 607, 519, 1034, 1713, 19524, 540, 519, 26789, 21805, 538, 543, 1472, 19186, 1415, 8057, 607, 942, 4682, 593, 563, 4913, 267, 538, 3105, 2053, 540, 1977, 1686, 267, 519, 8360, 968, 341, 580, 559, 766, 12233, 892, 3622, 4016, 547, 12504, 3906, 602, 3576, 519, 1876, 883, 741, 1378, 3946, 267, 21991, 5024, 543, 16304, 1346, 16143, 540, 10963, 950, 972, 729, 1100, 2199, 2229, 610, 950, 789, 2808, 519, 2199, 6392, 729, 18348, 610, 4617, 563, 19669, 9038, 945, 941, 1336, 21528, 10437, 538, 741, 9101, 941, 16271, 547, 18219, 19439, 906, 982, 3043, 2021, 267, 855, 1312, 941, 2693, 547, 3068, 693, 519, 1360, 2547, 23948, 566, 563, 763, 6406, 2782, 2201, 634, 21222, 517, 454, 18128, 757, 971, 607, 519, 16713, 3281, 668, 1047, 543, 519, 667, 1042, 8845, 3375, 25997, 811, 4550, 1606, 18561, 15628, 547, 1491, 606, 3742, 851, 538, 519, 4674, 547, 5391, 4733, 10437, 538, 519, 2136, 2276, 269, 2991, 14062, 12493, 729, 11221, 7022, 267, 8828, 2829, 3459, 547, 694, 1027, 324, 538, 5412, 476, 5908, 271 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 513, 12666, 6575, 2852, 267, 13327, 4370, 782, 519, 12326, 543, 4881, 1250, 1378, 28479, 766, 8642, 1374, 1870, 593, 519, 2427, 563, 10214, 1310, 594, 14460, 8642, 1374, 547, 1831, 513, 10927, 2875, 538, 2296, 267, 594, 1869, 1336, 1871, 538, 1250, 2930, 1983, 269, 1306, 594, 6410, 689, 1250, 4487, 779, 538, 5708, 1603, 547, 1250, 4387, 622, 538, 20116, 267, 594, 1336, 8885, 11179, 6537, 547, 1007, 2923, 3235, 3098, 269, 594, 2968, 19832, 676, 2686, 29298, 540, 3406, 2599, 6620, 267, 519, 7613, 540, 968, 4707, 10194, 2223, 543, 519, 1761, 585, 2228, 17933, 269, 1452, 29293, 540, 519, 2078, 1063, 5888, 267, 20116, 267, 543, 2029, 616, 1018, 5795, 803, 606, 6316, 950, 621, 3357, 547, 2816, 3156, 269, 898, 849, 3366, 547, 519, 12032, 540, 1250, 1912, 6185, 563, 2690, 803, 267, 1906, 9489, 723, 2479, 1044, 607, 1134, 6170, 607, 1346, 602, 4682, 2509, 1250, 1101, 5904, 269, 1879, 1250, 4651, 4547, 602, 22126, 1753, 267, 646, 6785, 5904, 1131, 581, 513, 1713, 851, 540, 519, 2104, 269, 1717, 267, 646, 7948, 1406, 723, 2062, 16308, 875, 1713, 789, 1131, 581, 538, 1250, 2104, 538, 1880, 563, 2080, 779, 519, 2055, 594, 723, 865, 2484, 269, 7490, 6085, 609, 10372, 952, 1589, 606, 3606, 2243, 2115, 547, 581, 3773, 269, 594, 6557, 1666, 532, 891, 1055, 540, 519, 17368, 517, 18361, 779, 10747, 540, 519, 17720, 3510, 912, 268, 1548, 798, 596, 1616, 547, 798, 609, 707, 12108, 3049, 543, 5816, 269, 9373, 1555, 286, 22252, 286, 6431, 340, 1228, 286, 8682, 3895, 286, 5269, 2724, 286, 3503, 547, 1451, 286, 28150, 3318, 1646, 888, 268, 1215, 798, 596, 1616, 547, 581, 9228, 286, 8191, 5511, 286, 4039, 23534, 286, 31864, 1399, 286, 4270, 22345, 888, 268, 1548, 798, 596, 1616, 707, 5304, 547, 798, 267, 1589, 267, 610, 1745, 286, 1215, 786, 789, 946, 1018, 596, 2995, 873, 610, 2671, 609, 873, 286, 1548, 2186, 540, 3210, 798, 596, 1616, 286, 1215, 666, 596, 29360, 621, 888, 268, 1548, 568, 707, 5304, 779, 4282, 9789, 597, 2069, 543, 1272, 2833, 888, 268, 1548, 779, 707, 2078, 609, 707, 5304, 267, 543, 875, 1281, 621, 1860, 707, 1893, 543, 3159, 888, 268, 1215, 666, 596, 1655, 9029, 547, 707, 5304, 888, 268, 1548, 779, 519, 3617, 1413, 585, 707, 17720, 3510, 286, 9701, 707, 5816, 1374, 24579, 12803, 4605, 1413, 3978, 286, 1733, 15501, 673, 286, 9608, 888, 268, 1215, 666, 596, 1118, 1655, 946, 540, 519, 23447, 286, 630, 2690, 1383, 281, 1548, 666, 581, 3308, 286, 1548, 814, 6255, 4711, 616, 4143, 286, 7316, 666, 596, 1039, 6402, 286, 994, 268, 1215, 1281, 519, 9135, 27774, 707, 1374, 2511, 543, 1603, 5079, 286, 630, 2690, 1383, 281, 1411, 1058, 723, 10156, 9433, 543, 811, 3043, 2230, 950, 1603, 2228, 994, 2171, 2253, 938, 1007, 2923, 1603, 3460, 609, 5816, 3101, 543, 570, 933, 7566, 267, 1141, 1967, 31963, 2390, 593, 938, 2702, 547, 1020, 513, 3982, 5639, 267, 547, 2697, 938, 5304, 267, 543, 547, 3060, 269, 1280, 1383, 267, 972, 616, 5215, 540, 5986, 543, 6197, 21075, 2228, 269, 1677, 1796, 719, 596, 991, 513, 2189, 7828, 267, 513, 4195, 5133, 267, 9644, 267, 610, 606, 5499, 1935, 269, 6333, 835, 540, 519, 1034, 3811, 1806, 540, 513, 5986, 543, 6197, 5816, 267, 27505, 518, 19716, 267, 799, 3366, 547, 513, 1397, 593, 519, 5253, 8416, 269, 2701, 3854, 1242, 593, 519, 1249, 602, 1352, 2729, 513, 6197, 602, 1034, 540, 721, 666, 1152, 4952, 593, 513, 1804, 12418, 10443, 577, 538, 20274, 269, 898, 814, 9644, 267, 2245, 267, 543, 10800, 2692, 903, 269, 2986, 1576, 267, 711, 782, 540, 721, 616, 8348, 547, 2344, 6000, 543, 938, 2729, 538, 602, 1454, 1469, 563, 24685, 4762, 32268, 267, 594, 2022, 6337, 540, 16933, 267, 9640, 267, 543, 1250, 2185, 20868, 1453, 2507, 553, 1134, 607, 7928, 15833, 540, 1250, 9393, 9849, 669, 2355, 892, 1107, 634, 27505, 518, 19716, 454, 7922, 690, 3101, 5956, 676, 6998, 1018, 621, 568, 596, 723, 547, 2709, 707, 5304, 269, 16393, 596, 5838, 5483, 543, 13473, 2686, 16555, 267, 513, 14973, 1491, 593, 4948, 1272, 267, 513, 5578, 596, 666, 4001, 1866, 267, 3092, 269, 286, 25826, 3811, 21075, 602, 2887, 883, 519, 1482, 7121, 607, 16523, 630, 974, 9592, 875, 3562, 267, 15970, 267, 1402, 2528, 264, 2443, 1018, 2306, 873, 1796, 719, 538, 519, 15624, 286, 8921, 267, 649, 1451, 827, 707, 1761, 5304, 998, 12108, 267, 9365, 267, 543, 26964, 2443, 12423, 1018, 789, 630, 332, 1682, 267, 32266, 267, 11655, 264, 616, 1034, 2693, 547, 1427, 11548, 267, 2671, 267, 610, 8930, 563, 12024, 519, 27505, 518, 19716, 267, 945, 2451, 2462, 2749, 1272, 547, 1831, 513, 6917, 4630, 655, 6033, 267, 1007, 2923, 5830, 616, 849, 593, 513, 3460, 269, 1284, 616, 5665, 538, 513, 7683, 9687, 5420, 269, 1306, 4166, 607, 649, 1451, 835, 3498, 267, 649, 1590, 4483, 938, 1702, 547, 1776, 269, 594, 993, 1934, 547, 3561, 891, 15322, 269, 2334, 568, 1018, 594, 723, 547, 2709, 1250, 5304, 269, 3733, 7828, 568, 1250, 4081, 2866, 267, 799, 2337, 803, 1174, 519, 7856, 8116, 602, 6818, 1369, 2228, 1603, 269, 1284, 616, 8200, 593, 938, 2029, 543, 593, 938, 3060, 540, 13588, 269, 1677, 581, 3811, 267, 594, 711, 1152, 723, 547, 581, 18854, 1399, 267, 3860, 267, 543, 5483, 267, 594, 991, 547, 723, 513, 3988, 1222, 602, 666, 2322, 1250, 5796, 883, 2259, 267, 2709, 16555, 267, 543, 3262, 519, 2262, 269, 0, 31416, 6441, 833, 932, 760, 4934, 560, 686, 1186, 16453, 23675, 2073, 2160, 540, 1261, 14988, 6199, 5530, 454, 13775, 281, 8734, 476, 2767, 267, 476, 1001, 273, 454, 12867, 723, 2919, 1007, 2780, 13365, 602, 17932, 519, 1480, 2634, 267, 799, 1223, 4838, 1047, 938, 1620, 540, 875, 519, 2247, 3252, 269, 28055, 338, 547, 18082, 519, 2634, 2356, 4125, 5752, 3301, 547, 13789, 899, 2516, 540, 11409, 269, 589, 834, 928, 23757, 6973, 545, 257, 1374, 3079, 13290, 547, 30712, 519, 2634, 781, 8800, 267, 1210, 1387, 4084, 3334, 2063, 2938, 538, 519, 2038, 2395, 540, 7384, 269, 0, 6124, 6396, 585, 13958, 3151, 1323, 8598, 4635, 12130, 992, 2314, 16393, 8048, 547, 1715, 10552, 18873, 267, 15875, 5441, 5507, 32672, 1023, 454, 13775, 281, 9484, 476, 1704, 267, 476, 1001, 274, 454, 288, 4028, 1259, 540, 23235, 16562, 8598, 1210, 17196, 2029, 814, 1044, 2919, 676, 3744, 269, 1703, 616, 1114, 2010, 540, 16562, 8598, 267, 799, 3123, 29723, 1173, 344, 267, 795, 16184, 823, 267, 13110, 1145, 543, 26032, 540, 7362, 269, 898, 568, 3622, 519, 1267, 540, 606, 4401, 10638, 538, 1004, 269, 4340, 547, 519, 2622, 2657, 25944, 267, 621, 5540, 909, 547, 513, 10116, 540, 519, 1158, 779, 2551, 693, 1022, 2016, 942, 563, 20756, 267, 2638, 856, 782, 519, 4702, 6009, 269, 5403, 707, 16056, 2221, 256, 0, 1103, 835, 540, 1250, 3105, 9587, 594, 5018, 602, 4376, 602, 729, 2899, 9800, 1223, 581, 1500, 883, 4568, 269, 634, 9059, 12146, 602, 11479, 713, 1184, 568, 519, 13803, 610, 17343, 602, 568, 10731, 538, 519, 1919, 649, 3548, 543, 5905, 267, 543, 8197, 538, 519, 1360, 2011, 649, 13236, 269, 1280, 519, 1034, 851, 17343, 14560, 547, 544, 4875, 593, 4666, 2339, 267, 543, 538, 519, 2013, 540, 1480, 7919, 713, 568, 2356, 519, 4552, 267, 18969, 543, 21603, 6106, 540, 519, 2960, 269, 2353, 891, 2127, 2270, 4666, 2281, 563, 763, 824, 1079, 5820, 2838, 676, 13803, 547, 1118, 4568, 616, 7509, 543, 4006, 267, 543, 713, 568, 3020, 607, 1134, 585, 1034, 540, 519, 16507, 5563, 538, 938, 4703, 563, 2690, 1804, 1004, 267, 5848, 2127, 616, 1419, 10731, 585, 513, 1297, 540, 4128, 269, 5221, 649, 723, 513, 3677, 2627, 1858, 543, 1560, 2527, 267, 649, 4043, 547, 960, 9875, 547, 1205, 1472, 267, 10451, 3002, 543, 26632, 908, 602, 3002, 998, 24852, 269, 4746, 267, 649, 1419, 723, 3063, 2960, 26642, 543, 891, 4158, 5848, 4025, 616, 513, 5172, 7226, 585, 1034, 13271, 269, 3509, 1804, 1004, 723, 11506, 2157, 540, 4006, 21883, 538, 519, 1973, 6908, 267, 14356, 1317, 519, 18558, 3112, 1832, 909, 609, 4393, 1804, 19346, 13907, 543, 849, 3274, 1317, 713, 1418, 5956, 547, 23881, 614, 607, 649, 1332, 4587, 563, 763, 1297, 543, 3099, 540, 16507, 5563, 616, 865, 3573, 602, 621, 1131, 581, 2352, 547, 2446, 873, 782, 267, 855, 594, 786, 2119, 547, 1865, 930, 540, 519, 811, 1455, 3283, 4358, 609, 519, 2212, 1858, 543, 2324, 1524, 547, 519, 19462, 563, 310, 768, 338, 602, 5749, 1405, 454, 763, 2262, 570, 13810, 568, 689, 519, 5824, 2495, 575, 13041, 610, 21431, 543, 568, 1031, 538, 2564, 10580, 547, 4766, 1034, 16507, 5563, 630, 1721, 4128, 799, 786, 1831, 7805, 16172, 1040, 570, 13810, 7167, 4345, 4016, 547, 17343, 3968, 540, 519, 21435, 543, 4552, 269, 2986, 1719, 568, 519, 1249, 602, 519, 1034, 5432, 27521, 11248, 540, 519, 476, 4198, 271, 781, 814, 8854, 856, 540, 642, 4084, 543, 513, 1114, 2249, 814, 3144, 936, 269, 594, 2446, 713, 1317, 835, 540, 519, 1034, 1455, 2081, 7189, 1031, 547, 13209, 16507, 5563, 540, 4552, 729, 547, 3180, 513, 3109, 1769, 630, 738, 19965, 264, 2282, 519, 4552, 267, 543, 519, 2025, 2249, 1031, 547, 2014, 519, 4552, 547, 16682, 576, 899, 513, 19440, 1129, 269, 4014, 930, 2249, 1869, 2014, 28264, 267, 1082, 540, 519, 2413, 25476, 798, 711, 269, 674, 2426, 639, 2356, 6285, 4552, 676, 14229, 1136, 1318, 883, 519, 5072, 543, 4617, 2287, 519, 14788, 267, 4929, 2901, 15649, 540, 7745, 4552, 610, 18367, 24052, 9634, 269, 769, 930, 1004, 519, 24052, 1858, 949, 723, 513, 3109, 12297, 5920, 1247, 538, 1866, 609, 811, 3978, 5563, 267, 649, 788, 344, 267, 2699, 15087, 1522, 2408, 269, 9615, 2356, 3217, 1896, 3275, 543, 930, 2545, 3429, 949, 581, 8628, 563, 305, 532, 11988, 568, 519, 2482, 2165, 1031, 585, 5553, 547, 4766, 513, 16507, 3968, 602, 4386, 593, 519, 3068, 610, 824, 2694, 540, 519, 2960, 602, 5654, 607, 1498, 513, 21431, 3276, 992, 539, 18284, 6028, 513, 2699, 12150, 6659, 5858, 540, 5594, 28349, 2960, 269, 4935, 519, 2165, 570, 13810, 11283, 529, 630, 322, 2734, 529, 284, 7853, 1040, 901, 8258, 568, 3274, 519, 14027, 6316, 540, 513, 17343, 3968, 602, 814, 1044, 2324, 922, 1259, 689, 513, 4099, 27295, 21286, 899, 513, 678, 21451, 538, 1216, 269, 769, 9038, 519, 3968, 666, 1459, 607, 28349, 2699, 1025, 582, 2583, 538, 519, 581, 731, 563, 27916, 21407, 972, 568, 1100, 21431, 3238, 256, 2368, 540, 519, 23580, 19095, 666, 581, 3361, 676, 13271, 602, 7363, 9468, 2831, 899, 7314, 267, 5243, 267, 22171, 267, 543, 1256, 16933, 269, 6787, 610, 711, 3425, 610, 10130, 616, 519, 27521, 338, 267, 7715, 3429, 543, 2673, 3346, 616, 2356, 519, 2101, 1696, 328, 11043, 2188, 269, 1411, 1810, 1405, 2965, 723, 547, 5905, 519, 2707, 269, 674, 25193, 24032, 2951, 538, 519, 2011, 543, 666, 1256, 3251, 593, 5848, 23157, 543, 3615, 563, 1320, 337, 2313, 543, 3131, 548, 3832, 454, 6624, 540, 596, 945, 616, 3237, 616, 5432, 609, 519, 2165, 28202, 2313, 13288, 547, 3043, 27598, 15649, 538, 519, 28182, 540, 930, 29507, 269, 901, 16507, 3968, 666, 581, 3361, 676, 4598, 547, 519, 13803, 602, 7363, 7610, 1080, 519, 29199, 1282, 27638, 269, 28202, 2313, 666, 849, 581, 2404, 609, 2699, 16698, 540, 519, 562, 31454, 1282, 6089, 8023, 563, 1103, 519, 11361, 267, 610, 538, 1346, 945, 723, 513, 4356, 540, 24146, 519, 15174, 540, 741, 28182, 610, 7683, 561, 10107, 17534, 267, 3131, 548, 3832, 568, 513, 1644, 16507, 3968, 799, 666, 581, 4929, 2699, 267, 8886, 730, 267, 543, 1419, 535, 1170, 3293, 2960, 693, 519, 7285, 540, 519, 5023, 563, 10870, 520, 540, 1082, 4778, 454, 307, 13810, 12411, 545, 565, 528, 568, 14013, 3957, 2094, 621, 6799, 607, 25861, 1804, 15649, 540, 3982, 569, 1114, 11954, 267, 29656, 26987, 2960, 267, 2356, 593, 519, 1394, 543, 7916, 269, 13689, 593, 7292, 4282, 543, 4598, 547, 3141, 267, 519, 2681, 540, 519, 4299, 1858, 666, 2039, 689, 1769, 11909, 610, 6960, 7146, 1282, 512, 8911, 4005, 3562, 3043, 269, 4658, 945, 723, 522, 1176, 1950, 687, 267, 1346, 945, 17570, 513, 2603, 267, 607, 1134, 607, 1346, 945, 5957, 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 ]
[ 269, 20780, 532, 2371, 883, 707, 2777, 568, 711, 1152, 8353, 24312, 4190, 267, 855, 621, 849, 814, 519, 3773, 22429, 540, 3246, 1713, 1072, 2640, 2336, 268, 13724, 906, 538, 707, 7099, 454, 268, 22159, 538, 5957, 1465, 454, 268, 22159, 538, 2566, 543, 4160, 454, 268, 26094, 538, 9036, 2773, 543, 3007, 454, 268, 26094, 538, 7067, 543, 1928, 10892, 454, 268, 26805, 519, 10171, 540, 14331, 9648, 998, 2810, 2011, 2298, 454, 268, 16959, 2960, 543, 7929, 2152, 3361, 676, 3819, 2011, 666, 581, 10970, 7007, 563, 2467, 616, 513, 3099, 540, 2777, 17852, 602, 616, 5827, 540, 21716, 13818, 7135, 971, 607, 6101, 24957, 267, 22904, 2940, 267, 543, 959, 747, 3271, 334, 26120, 267, 799, 616, 8659, 538, 812, 13402, 2326, 602, 616, 1634, 547, 968, 4752, 3766, 553, 892, 14107, 883, 519, 2011, 538, 707, 1753, 267, 1153, 267, 543, 5604, 269, 5015, 267, 2687, 547, 519, 4681, 540, 513, 1353, 5342, 693, 9098, 15306, 267, 2777, 17852, 666, 2539, 11255, 7452, 676, 909, 547, 476, 736, 2600, 269, 1677, 2322, 621, 1776, 1259, 267, 2777, 17852, 616, 5140, 2011, 1625, 13294, 269, 8331, 814, 5342, 9645, 1382, 883, 519, 1909, 540, 2777, 17852, 538, 2011, 22729, 267, 609, 519, 3804, 540, 3854, 1944, 593, 891, 2640, 585, 1761, 2230, 10473, 538, 519, 2104, 563, 268, 769, 1931, 547, 2226, 513, 476, 272, 267, 8517, 4009, 20356, 23029, 267, 8331, 5227, 476, 1428, 268, 1240, 2777, 17852, 563, 268, 7756, 2640, 540, 11255, 2371, 1331, 519, 6454, 540, 2011, 2298, 538, 824, 2081, 563, 268, 8409, 945, 7985, 689, 7929, 13542, 267, 14331, 267, 543, 11959, 949, 1265, 713, 547, 581, 540, 1390, 6351, 563, 268, 1411, 949, 11126, 519, 5383, 540, 707, 2371, 676, 11093, 873, 968, 514, 707, 2048, 321, 805, 3107, 7997, 16224, 799, 568, 1472, 476, 277, 547, 476, 279, 4009, 3952, 2476, 689, 1141, 596, 3622, 1694, 610, 2482, 2223, 2687, 547, 513, 22208, 8648, 1650, 563, 268, 4658, 779, 2816, 2773, 729, 3254, 547, 2333, 950, 789, 941, 15868, 547, 723, 11255, 2371, 538, 741, 9036, 2230, 267, 2687, 547, 1382, 563, 268, 3502, 1152, 616, 789, 10694, 267, 855, 789, 849, 723, 519, 3773, 4324, 540, 1818, 1004, 1745, 543, 1685, 1732, 563, 268, 30482, 2238, 971, 607, 4104, 28876, 543, 2470, 15211, 723, 1044, 7152, 547, 2569, 2157, 540, 8082, 543, 4160, 267, 543, 6220, 11255, 2371, 883, 835, 779, 1753, 666, 723, 519, 1482, 1198, 563, 268, 898, 4422, 1510, 6031, 602, 3274, 2348, 2371, 1472, 596, 814, 5626, 5383, 267, 855, 519, 957, 540, 12391, 585, 707, 2371, 666, 849, 4217, 547, 2569, 8082, 543, 4160, 563, 268, 6875, 942, 547, 23507, 707, 2371, 685, 3762, 543, 24968, 282, 5905, 873, 282, 543, 5310, 1256, 598, 2091, 609, 873, 2336, 268, 1656, 1810, 1406, 581, 7255, 952, 707, 2777, 17852, 5749, 1406, 538, 519, 20923, 540, 1072, 563, 6546, 568, 4010, 1018, 649, 616, 1934, 585, 269, 1473, 3233, 2030, 1416, 7840, 949, 581, 1336, 593, 938, 1473, 3233, 7233, 12754, 2457, 543, 593, 938, 7922, 690, 269, 13600, 569, 29972, 9669, 949, 581, 1336, 593, 938, 13600, 569, 29972, 9669, 2457, 267, 799, 2882, 12119, 1344, 593, 14450, 267, 8023, 267, 543, 1065, 31857, 707, 2371, 563, 276, 9670, 1072, 2640, 540, 2348, 2371, 538, 707, 1753, 454, 1103, 519, 2034, 10116, 540, 476, 1001, 279, 267, 5463, 528, 1103, 10262, 8867, 2084, 4910, 7808, 306, 2297, 454, 2171, 1413, 693, 519, 1072, 2640, 540, 2777, 17852, 267, 875, 789, 666, 948, 707, 1753, 9029, 547, 15646, 1562, 543, 18046, 543, 799, 2371, 616, 14018, 547, 1114, 11623, 563, 23713, 271, 476, 31798, 279, 476, 271, 4200, 278, 17445, 528, 540, 519, 13636, 1763, 7808, 10837, 12518, 666, 1683, 21755, 543, 2681, 547, 513, 2230, 267, 607, 1134, 607, 1118, 621, 1745, 811, 899, 513, 1747, 547, 1289, 1753, 269, 15742, 2010, 3986, 519, 2298, 540, 519, 2011, 543, 3132, 513, 7646, 267, 2067, 24710, 602, 856, 704, 13257, 1022, 5010, 2011, 23906, 1156, 518, 538, 2474, 540, 7145, 269, 2353, 540, 891, 2188, 666, 948, 1761, 18046, 610, 15646, 1562, 1745, 811, 6899, 543, 693, 8897, 538, 707, 2777, 950, 789, 3643, 621, 269, 5903, 539, 1934, 616, 2947, 2081, 538, 799, 2777, 17852, 949, 3986, 707, 1072, 267, 2059, 609, 513, 3099, 540, 2371, 5078, 585, 1169, 1858, 538, 707, 1753, 563, 268, 21079, 2566, 563, 268, 5221, 540, 519, 4999, 540, 3544, 14107, 609, 9703, 17694, 971, 607, 5292, 8684, 17667, 3281, 2432, 267, 11255, 5533, 2157, 616, 1419, 3152, 982, 9205, 5533, 2157, 630, 309, 31237, 1916, 268, 1717, 267, 6679, 9486, 543, 3850, 585, 2067, 10009, 666, 4217, 547, 3986, 9703, 2011, 2298, 282, 2705, 267, 713, 568, 711, 2141, 15164, 610, 14909, 267, 3226, 1282, 519, 5162, 3275, 563, 268, 2296, 17488, 344, 267, 585, 1383, 267, 814, 1044, 7152, 547, 6175, 23197, 9044, 676, 909, 547, 476, 4281, 2600, 267, 1818, 621, 513, 3226, 2500, 2030, 585, 14874, 1978, 13802, 689, 519, 1604, 563, 268, 4658, 945, 941, 11303, 676, 2371, 1705, 1732, 593, 4247, 602, 2838, 5834, 267, 2687, 547, 1382, 563, 268, 1879, 938, 1445, 17176, 547, 519, 2371, 593, 938, 11380, 267, 519, 3206, 4422, 267, 621, 3947, 513, 2890, 22249, 752, 689, 938, 2780, 13819, 602, 666, 948, 721, 13404, 811, 3927, 563, 268, 589, 1353, 1336, 602, 7836, 942, 538, 2470, 1522, 948, 596, 1745, 811, 17159, 543, 29915, 730, 538, 1312, 1560, 543, 2247, 563, 763, 2702, 540, 2371, 547, 1625, 1518, 519, 2011, 849, 814, 519, 3606, 4324, 540, 5355, 707, 2489, 1072, 267, 3850, 596, 547, 11883, 811, 3927, 609, 2566, 563, 7212, 621, 568, 1419, 2139, 607, 1898, 11041, 543, 4055, 838, 7590, 267, 513, 1494, 2030, 949, 1683, 519, 1482, 2640, 563, 5353, 1783, 531, 589, 8997, 13081, 630, 306, 4696, 264, 568, 513, 27676, 2783, 602, 28107, 3294, 2429, 519, 4158, 267, 669, 11035, 5162, 3275, 630, 306, 4696, 1916, 310, 5793, 795, 11047, 710, 568, 606, 11255, 2030, 609, 513, 8949, 24710, 543, 3043, 18742, 602, 16036, 1282, 519, 5162, 3275, 563, 763, 4190, 10538, 32395, 540, 519, 7108, 8127, 7233, 786, 6505, 523, 909, 771, 7356, 5162, 2395, 543, 4196, 607, 513, 9543, 12576, 602, 5614, 568, 593, 922, 1259, 563, 2005, 568, 2009, 585, 2371, 547, 4217, 596, 538, 3478, 513, 1434, 3781, 779, 3207, 538, 1079, 2081, 281, 676, 7738, 519, 2011, 538, 707, 23103, 543, 676, 32749, 513, 13526, 2541, 602, 568, 25695, 543, 21363, 547, 519, 12823, 563, 16521, 795, 11047, 710, 610, 32175, 585, 513, 17681, 20416, 602, 786, 948, 596, 3207, 1732, 563, 8248, 864, 561, 25788, 543, 15599, 30705, 6425, 19799, 519, 2713, 1858, 563, 5445, 666, 3914, 909, 547, 1614, 3952, 538, 4463, 543, 723, 1804, 267, 12050, 3762, 563, 7775, 577, 1749, 543, 13131, 2371, 30164, 519, 5127, 7741, 563, 7775, 577, 1749, 543, 13131, 2371, 267, 593, 519, 824, 1688, 267, 798, 519, 6587, 543, 5305, 5135, 1282, 519, 3781, 267, 1818, 873, 5140, 3781, 6066, 15274, 563, 289, 987, 7741, 28173, 519, 946, 540, 2371, 602, 8853, 538, 5848, 267, 3636, 5054, 543, 666, 20496, 1970, 1769, 2157, 563, 289, 10667, 7542, 985, 732, 513, 5929, 19880, 2030, 543, 8853, 538, 519, 22012, 1769, 543, 5848, 2011, 563, 306, 599, 1434, 25742, 547, 3114, 2011, 23906, 1156, 619, 543, 581, 30870, 676, 513, 8748, 4195, 9329, 1169, 942, 596, 3802, 883, 707, 1753, 563, 298, 527, 29353, 281, 620, 4141, 2357, 320, 563, 305, 889, 519, 15074, 23752, 4099, 540, 519, 3762, 593, 11912, 543, 17236, 585, 606, 7525, 9023, 1198, 563, 294, 518, 828, 320, 546, 9820, 625, 15884, 2285, 513, 1402, 540, 7990, 547, 707, 5604, 607, 1134, 607, 4543, 547, 9004, 14107, 689, 519, 2011, 267, 16113, 1346, 4448, 609, 13504, 563, 306, 754, 513, 5048, 24269, 596, 3643, 938, 3896, 543, 5924, 946, 922, 2934, 971, 607, 1357, 3029, 267, 645, 23259, 3474, 756, 553, 7464, 24529, 15263, 525, 1344, 827, 596, 971, 607, 2123, 7114, 1239, 1519, 3346, 3877, 585, 519, 3483, 540, 4393, 519, 13668, 602, 616, 2366, 547, 721, 3842, 519, 3896, 267, 543, 267, 538, 930, 2665, 267, 585, 6725, 5301, 1851, 1866, 676, 1210, 12897, 563, 1692, 12518, 13724, 2659, 10076, 543, 8447, 2657, 286, 476, 1015, 29055, 12518, 1677, 13724, 2659, 2657, 454, 12441, 596, 917, 602, 267, 538, 1840, 547, 519, 3875, 23963, 13006, 1072, 5383, 540, 2030, 2861, 11326, 267, 2371, 949, 849, 4217, 2087, 707, 1072, 1175, 676, 1373, 1459, 538, 707, 1604, 286, 670, 792, 621, 2786, 689, 2605, 15967, 256, 5600, 17852, 723, 2141, 1044, 513, 851, 540, 1250, 1753, 7718, 269, 901, 568, 1813, 547, 519, 1249, 602, 1250, 20516, 2899, 5143, 803, 269, 602, 2777, 17852, 616, 2629, 585, 2566, 10970, 2747, 269, 3733, 20516, 568, 1134, 3222, 602, 594, 993, 2141, 14129, 856, 607, 513, 1267, 540, 1250, 2816, 269, 1306, 513, 1267, 267, 1247, 594, 729, 2679, 713, 2777, 267, 1250, 20516, 29739, 593, 16459, 513, 1804, 1297, 540, 2777, 17852, 585, 803, 563, 268, 1809, 267, 2523, 538, 1769, 540, 713, 15435, 267, 594, 666, 1294, 875, 2348, 2777, 17852, 538, 1250, 1753, 1522, 948, 803, 1745, 811, 693, 8897, 1247, 2324, 689, 1753, 593, 513, 3232, 4493, 563, 268, 616, 5827, 540, 9427, 14107, 971, 607, 22904, 2940, 543, 6101, 24957, 563, 268, 7849, 2011, 12086, 949, 581, 2813, 676, 513, 3099, 540, 1114, 2777, 17852, 267, 2687, 547, 2487, 1382, 563, 268, 24506, 2566, 1247, 8195, 5355, 1973, 2604, 543, 2295, 2557, 563, 1692, 12518, 13724, 2659, 10076, 1656, 8447, 2657, 454, 13706, 6028, 519, 2777, 1247, 575, 5074, 856, 519, 6885, 693, 513, 3529, 610, 1247, 8876, 513, 17681, 536, 537, 21103, 538, 707, 3946, 269, 1684, 596, 723, 513, 22471, 559, 610, 7772, 995, 4743, 286, 1403, 596, 12943, 9811, 267, 596, 1223, 3494, 602, 2371, 723, 519, 2702, 547, 10826, 269, 11153, 2090, 723, 1336, 602, 12202, 267, 2436, 2944, 3330, 610, 13964, 267, 814, 6225, 5222, 593, 1312, 2168, 543, 2790, 1072, 269, 25175, 267, 7488, 540, 2085, 610, 5578, 1377, 267, 949, 28231, 519, 2640, 540, 12202, 269, 543, 1373, 538, 519, 2754, 540, 519, 2067, 1604, 563, 16498, 11588, 540, 12518, 543, 29972, 454, 763, 2168, 5383, 540, 2371, 949, 581, 4767, 538, 513, 3099, 540, 1114, 2081, 269, 1280, 1383, 267, 676, 1175, 4946, 513, 2582, 2777, 8690, 547, 707, 10450, 267, 596, 949, 2087, 519, 2298, 540, 519, 2011, 543, 1711, 513, 21363, 5790, 269, 3371, 616, 2947, 8903, 7440, 585, 6220, 2371, 883, 707, 2777, 610, 8378, 563, 22517, 739, 338, 5794, 10866, 454, 2467, 616, 1896, 2081, 538, 799, 2371, 1683, 15629, 5383, 269, 15439, 9544, 513, 2582, 2777, 8690, 267, 585, 1383, 267, 949, 1683, 4195, 2011, 543, 513, 2631, 540, 694, 1066, 640, 547, 606, 5790, 269, 6333, 519, 1739, 2947, 8903, 7440, 585, 8744, 2371, 883, 707, 2777, 610, 8378, 563, 269, 14310, 532, 547, 513, 3099, 540, 1072, 2175, 8151, 689, 2295, 2068, 547, 4965, 1851, 1312, 1453, 543, 4079, 538, 519, 2136, 2276, 269, 634, 8447, 11314, 13832, 585, 4892, 5815, 602, 1453, 543, 10708, 3489, 476, 2568, 547, 476, 3445, 3764, 269, 540, 9793, 547, 588, 1066, 6681, 2534, 1142, 1554, 267, 2687, 547, 519, 1977, 9839, 5948, 269, 1323, 3328, 540, 476, 5611, 3764, 540, 9793, 27233, 3635, 1142, 3018, 568, 15695, 585, 1312, 4079, 543, 1453, 269, 11644, 666, 948, 1004, 2539, 741, 8458, 540, 3384, 2295, 2068, 267, 2860, 267, 3987, 267, 4160, 267, 4965, 267, 543, 824, 4049, 4713, 563, 294, 731, 2287, 568, 513, 1390, 2186, 540, 3635, 2094, 621, 568, 1312, 11791, 543, 2241, 547, 1039, 883, 707, 3232, 6296, 563, 5278, 1004, 949, 711, 1256, 581, 3222, 602, 789, 616, 16706, 950, 789, 2007, 563, 528, 1216, 2371, 538, 519, 1930, 2011, 269, 29972, 267, 538, 1840, 547, 5009, 5179, 1646, 543, 4222, 267, 666, 849, 5351, 547, 2569, 6689, 8377, 676, 4227, 17811, 6981, 269, 769, 519, 2013, 540, 513, 476, 10219, 1790, 895, 1268, 267, 513, 476, 1789, 18826, 12202, 3635, 949, 6633, 476, 13670, 8477, 267, 2687, 547, 519, 12370, 6481, 3427, 563, 21886, 2227, 2471, 13245, 14856, 454, 21093, 519, 2556, 7274, 540, 5613, 543, 5388, 1169, 1554, 269, 666, 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 ]
[ 2782, 11071, 692, 2026, 519, 2361, 540, 6530, 7960, 2429, 519, 476, 736, 628, 2540, 267, 3173, 3459, 3695, 2081, 547, 4019, 741, 4681, 547, 18259, 3646, 269, 2290, 971, 9872, 729, 519, 570, 822, 626, 1442, 18669, 538, 5507, 267, 799, 7620, 5059, 593, 8156, 7387, 6879, 18088, 7980, 1282, 2622, 2782, 594, 269, 1717, 267, 1310, 519, 2112, 267, 519, 16758, 17146, 922, 1445, 2509, 4974, 1480, 2623, 543, 1821, 2358, 2409, 585, 12018, 2527, 9458, 269, 1635, 476, 4572, 273, 267, 570, 822, 626, 1442, 1185, 1831, 513, 13398, 585, 1382, 883, 5626, 13137, 267, 12719, 519, 8840, 2798, 540, 2043, 2864, 982, 3246, 873, 609, 1454, 32571, 1489, 780, 289, 269, 6206, 22955, 538, 519, 4886, 540, 2598, 15574, 692, 15703, 9565, 5515, 7153, 689, 519, 570, 822, 626, 1442, 18669, 945, 1131, 979, 593, 547, 1404, 1713, 5107, 538, 5935, 2413, 18259, 2553, 269, 7324, 891, 24788, 2456, 941, 590, 10176, 1495, 22506, 267, 14161, 28044, 267, 21238, 1520, 2401, 267, 9253, 534, 773, 21890, 514, 267, 12070, 15728, 645, 542, 267, 543, 11977, 12672, 904, 269, 3962, 4547, 2189, 5380, 547, 519, 3349, 267, 7700, 547, 513, 24567, 1560, 540, 1702, 4478, 1480, 8404, 543, 2303, 2225, 780, 290, 269, 28841, 15332, 3703, 645, 7451, 692, 1103, 476, 4350, 277, 267, 570, 822, 626, 1442, 9450, 922, 3914, 676, 9591, 519, 2817, 4659, 540, 11633, 10017, 267, 799, 6322, 547, 948, 4213, 2087, 7607, 998, 1732, 2359, 2853, 269, 11531, 267, 4436, 23899, 18673, 918, 4669, 10197, 514, 729, 14376, 547, 519, 2136, 2276, 538, 476, 3707, 276, 547, 1336, 519, 3194, 4741, 585, 6828, 18868, 693, 20037, 269, 1452, 3486, 4296, 4847, 570, 822, 626, 1442, 543, 922, 28930, 919, 547, 2671, 2093, 543, 12840, 2066, 10665, 267, 2417, 17975, 741, 4485, 547, 5626, 13137, 543, 771, 15574, 780, 2862, 269, 23317, 540, 2598, 15574, 281, 9828, 543, 11150, 692, 4263, 922, 2295, 267, 771, 15574, 12346, 2390, 26760, 543, 1073, 325, 19895, 566, 547, 3035, 922, 3853, 269, 31943, 619, 2308, 1585, 2994, 2966, 547, 25657, 267, 16297, 267, 610, 30739, 9114, 547, 3077, 9458, 269, 2368, 1455, 2553, 1031, 538, 771, 15574, 11044, 1331, 1384, 288, 269, 13937, 2775, 532, 281, 715, 3139, 1310, 519, 5929, 4670, 538, 799, 513, 9393, 8942, 547, 5397, 1010, 7385, 14834, 676, 22392, 1200, 1604, 267, 3154, 2775, 532, 3322, 9306, 7301, 1344, 538, 971, 513, 1259, 602, 519, 6408, 5956, 547, 8969, 741, 1378, 7254, 640, 269, 3683, 942, 267, 7368, 4598, 547, 891, 6013, 2144, 3941, 3972, 538, 13951, 543, 1866, 267, 1818, 621, 4443, 585, 9070, 663, 1235, 547, 32022, 8369, 780, 289, 269, 1548, 12671, 1143, 281, 901, 4480, 11394, 547, 1219, 937, 9880, 2476, 689, 606, 1367, 610, 3919, 676, 13346, 3007, 5196, 2576, 3116, 781, 9228, 4636, 4777, 902, 269, 1635, 10962, 13061, 16198, 610, 19240, 267, 1018, 12671, 1143, 544, 3291, 625, 519, 7297, 543, 11151, 6209, 5188, 827, 1271, 2152, 780, 290, 269, 3117, 335, 16820, 28636, 281, 6271, 2442, 8671, 545, 6964, 676, 771, 15574, 8069, 568, 5009, 1666, 6804, 24242, 6436, 602, 30889, 1167, 867, 1851, 2516, 543, 24183, 5132, 538, 5238, 269, 3414, 4250, 332, 784, 1359, 543, 2283, 1049, 1143, 267, 891, 6386, 2744, 20086, 1369, 11630, 2950, 267, 3056, 547, 7839, 3661, 5103, 15877, 1022, 23610, 4493, 780, 7656, 269, 7073, 10241, 540, 2598, 15574, 281, 8865, 5525, 543, 7464, 28131, 6201, 692, 19013, 267, 771, 15574, 5170, 547, 20575, 4207, 2486, 267, 8915, 532, 3294, 538, 3875, 3029, 269, 3245, 9550, 13779, 547, 1072, 16839, 267, 1934, 616, 930, 8320, 1141, 771, 15574, 814, 5129, 513, 7986, 1909, 1384, 288, 269, 6739, 2405, 323, 1782, 538, 2475, 5082, 687, 281, 22073, 538, 476, 1001, 275, 267, 6739, 1766, 2510, 9250, 513, 2647, 8573, 4474, 5859, 547, 15936, 609, 1977, 9111, 676, 2870, 16995, 1514, 2923, 6589, 267, 22412, 908, 8954, 633, 1543, 267, 543, 1256, 12180, 678, 718, 625, 1312, 585, 543, 1996, 1585, 10457, 269, 4340, 547, 5359, 16432, 676, 4987, 8041, 267, 891, 3646, 4797, 998, 519, 476, 1001, 277, 16232, 9550, 543, 3564, 267, 11744, 519, 11972, 9029, 540, 771, 15574, 607, 513, 1907, 585, 521, 12976, 14784, 543, 10539, 780, 289, 269, 14640, 13305, 3147, 1588, 28073, 281, 23556, 539, 676, 7301, 6811, 16046, 10074, 547, 10295, 543, 824, 2175, 267, 4550, 8686, 1314, 343, 518, 5322, 723, 6591, 11610, 538, 2487, 1296, 1813, 7361, 547, 2228, 5867, 7586, 4328, 5667, 889, 560, 656, 7007, 12194, 543, 24242, 6436, 269, 5398, 1072, 8387, 5001, 6560, 547, 8396, 713, 7678, 267, 799, 27938, 3356, 1500, 2509, 14874, 14686, 3676, 899, 27330, 543, 29887, 780, 4353, 269, 4347, 2056, 18830, 2598, 15574, 281, 7454, 13756, 543, 8892, 19648, 692, 2414, 3927, 25559, 771, 15574, 267, 4961, 1590, 2611, 21713, 543, 26617, 540, 19796, 1190, 2959, 1247, 5275, 856, 6325, 1344, 689, 11967, 19093, 269, 3958, 267, 7855, 1058, 11168, 2565, 3206, 1983, 543, 2923, 7924, 538, 21195, 267, 16779, 2104, 5481, 547, 6330, 606, 5051, 1950, 21141, 5251, 269, 7053, 267, 1876, 16234, 543, 2029, 3549, 7567, 1590, 960, 1927, 547, 1711, 4507, 543, 2645, 602, 3970, 519, 3262, 540, 771, 15574, 1510, 1102, 2590, 532, 2390, 1863, 4633, 2924, 780, 1103, 3932, 267, 771, 15574, 4564, 513, 23773, 4161, 585, 11180, 7239, 5275, 547, 6536, 1930, 5188, 543, 5483, 3375, 6194, 269, 1635, 6313, 3140, 9551, 757, 1305, 676, 3906, 899, 519, 570, 822, 626, 1442, 18669, 543, 16439, 741, 4720, 883, 2413, 771, 15574, 11044, 267, 649, 666, 2253, 547, 1174, 875, 1655, 547, 9718, 6000, 1996, 891, 683, 325, 13895, 7506, 269, 8307, 1287, 666, 649, 4126, 547, 8190, 519, 8699, 540, 938, 5238, 543, 2149, 519, 8171, 540, 938, 4961, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 263, 294, 836, 853, 22736, 5080, 325, 619, 264, 968, 1103, 476, 3707, 272, 513, 1895, 540, 24004, 28748, 693, 519, 570, 822, 626, 1442, 18669, 4718, 602, 519, 1318, 2055, 941, 4280, 538, 12057, 538, 1931, 547, 5150, 519, 1797, 547, 2119, 1007, 3800, 269, 1306, 513, 1267, 789, 941, 4280, 547, 6443, 519, 10615, 622, 540, 8136, 24741, 267, 543, 1705, 865, 607, 513, 1895, 1848, 1107, 307, 822, 626, 1442, 4659, 454, 2421, 16065, 27752, 267, 5412, 476, 2764, 628, 267, 476, 1001, 279, 454, 5445, 2842, 596, 909, 1317, 789, 917, 1018, 2306, 596, 8743, 269, 570, 822, 626, 1442, 18669, 6594, 968, 9917, 961, 8710, 892, 630, 14006, 32034, 2566, 264, 538, 13431, 296, 855, 23564, 547, 3384, 5626, 13137, 538, 476, 4572, 273, 269, 13298, 982, 4543, 911, 15436, 1242, 7980, 267, 621, 7229, 741, 8840, 2798, 269, 570, 822, 626, 1442, 8710, 14985, 1631, 15449, 919, 2518, 1272, 269, 4256, 1514, 8030, 616, 513, 5808, 779, 5808, 281, 22506, 267, 28044, 267, 1520, 2401, 267, 9253, 534, 773, 21890, 514, 267, 12070, 15728, 645, 542, 267, 11977, 12672, 904, 267, 18238, 570, 2077, 267, 589, 14389, 269, 19676, 267, 18238, 16019, 267, 25548, 748, 670, 5060, 2917, 267, 681, 6185, 269, 5487, 532, 267, 543, 811, 563, 307, 822, 626, 1442, 2366, 4436, 23899, 18673, 267, 918, 4669, 10197, 514, 267, 547, 519, 12590, 4659, 540, 5303, 538, 476, 3707, 276, 547, 3715, 519, 3194, 4741, 585, 6828, 18868, 269, 769, 519, 772, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 11514, 15574, 257, 607, 851, 540, 834, 303, 27773, 13316, 1315, 31666, 7701, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 5403, 19053, 542, 626, 15881, 2510, 538, 18303, 11470, 692, 8702, 547, 713, 3078, 1576, 1770, 1141, 649, 786, 2263, 2022, 19053, 542, 626, 6386, 538, 18303, 5708, 256, 1411, 1522, 4898, 267, 1018, 568, 27098, 1143, 543, 1946, 798, 1004, 2911, 827, 621, 538, 6935, 547, 3332, 286, 4270, 267, 1577, 781, 1376, 972, 2439, 313, 542, 1143, 568, 513, 2797, 3350, 602, 7028, 519, 10661, 543, 1646, 540, 513, 6014, 1533, 538, 519, 8513, 3989, 607, 519, 8978, 8092, 540, 5840, 630, 6518, 568, 1631, 5840, 267, 519, 4639, 7813, 267, 543, 717, 18054, 1040, 898, 3459, 538, 519, 3735, 476, 866, 628, 2540, 950, 7642, 5185, 20655, 538, 2342, 543, 8179, 513, 2922, 1747, 547, 1289, 1753, 269, 27098, 1235, 5156, 602, 2870, 513, 5094, 6014, 22657, 729, 519, 1655, 1259, 547, 2149, 6014, 2729, 543, 2528, 780, 3086, 267, 3728, 4464, 547, 2221, 269, 2368, 5830, 538, 5840, 3323, 15819, 1978, 3344, 540, 27098, 1143, 543, 922, 1764, 593, 2486, 269, 1358, 4941, 547, 2995, 2984, 602, 10630, 1114, 5380, 543, 2833, 1369, 18303, 2486, 269, 1452, 4589, 616, 1419, 1572, 2022, 19053, 542, 626, 5830, 1317, 789, 4161, 930, 540, 519, 2757, 4978, 2404, 609, 27098, 1143, 269, 5502, 267, 789, 1445, 593, 2152, 899, 7862, 267, 1514, 5126, 267, 543, 30398, 1063, 1114, 3909, 543, 6803, 2516, 538, 5840, 780, 4131, 781, 1413, 693, 606, 1383, 540, 513, 2022, 19053, 542, 626, 3209, 281, 834, 763, 4658, 540, 5983, 591, 3657, 3502, 2279, 12295, 257, 676, 1744, 8643, 4425, 1014, 10202, 340, 269, 901, 1433, 6645, 519, 1650, 540, 1614, 2021, 945, 8057, 909, 1927, 538, 513, 1507, 4884, 2282, 519, 8473, 540, 5840, 543, 26288, 269, 3414, 741, 4064, 267, 649, 1294, 875, 519, 4655, 5540, 741, 3232, 2729, 543, 3347, 269, 1284, 849, 1451, 827, 741, 9909, 267, 12194, 267, 543, 9620, 267, 799, 979, 3564, 6214, 543, 4984, 269, 1635, 2542, 741, 2984, 267, 649, 666, 1732, 1174, 519, 10848, 540, 2713, 538, 5840, 543, 519, 3309, 9739, 602, 2291, 1369, 922, 10665, 780, 5194, 1271, 2460, 540, 2022, 19053, 542, 626, 6386, 568, 519, 946, 540, 21075, 543, 2228, 5867, 547, 2671, 2093, 543, 4497, 538, 7391, 269, 5994, 952, 596, 1223, 2328, 707, 4555, 827, 513, 1433, 596, 1224, 543, 723, 1866, 1865, 621, 609, 596, 256, 2334, 781, 1018, 4523, 538, 519, 670, 10292, 5816, 18610, 14313, 689, 670, 10292, 267, 1141, 5640, 543, 3988, 2097, 1927, 547, 2911, 827, 2835, 267, 4930, 267, 543, 824, 2923, 1644, 547, 4008, 267, 17194, 267, 543, 22158, 538, 519, 5664, 5101, 269, 1215, 3579, 568, 602, 2496, 1103, 5758, 267, 2022, 19053, 542, 626, 6386, 538, 18303, 5708, 2709, 721, 513, 4960, 547, 3605, 1007, 5380, 543, 22962, 938, 1620, 540, 5840, 543, 922, 1004, 269, 1635, 3695, 891, 2984, 267, 649, 666, 5660, 519, 4763, 540, 9739, 1369, 18303, 2486, 543, 1589, 9691, 827, 519, 1909, 540, 3332, 538, 5935, 938, 5784, 540, 519, 1158, 269, 1924, 267, 10544, 513, 1433, 267, 1694, 1394, 267, 543, 2972, 519, 3460, 883, 519, 4241, 1158, 540, 2022, 19053, 542, 626, 6386, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 10932, 21133, 5358, 454, 10932, 4889, 919, 616, 670, 10292, 28930, 919, 945, 4163, 856, 3785, 602, 1489, 519, 20576, 779, 5692, 269, 670, 10292, 2488, 681, 2026, 609, 4081, 23388, 267, 1569, 547, 670, 10292, 543, 519, 2200, 540, 15952, 324, 529, 2160, 269, 681, 2026, 616, 4397, 547, 1404, 606, 3742, 851, 538, 519, 7214, 1272, 540, 519, 20576, 543, 519, 6280, 269, 901, 2882, 11504, 543, 9306, 538, 519, 4659, 12054, 14373, 267, 11504, 824, 15872, 543, 11925, 607, 3617, 267, 543, 4758, 513, 1857, 2911, 269, 18623, 949, 849, 581, 4280, 547, 3565, 513, 4901, 540, 741, 960, 547, 519, 670, 10292, 5816, 18610, 14313, 689, 670, 10292, 563, 295, 10292, 1281, 711, 1683, 681, 2026, 609, 8655, 960, 2230, 693, 519, 20576, 610, 609, 2883, 1489, 269, 15706, 949, 267, 2705, 267, 4019, 585, 7616, 998, 1022, 540, 519, 670, 10292, 3292, 269, 10241, 547, 519, 3194, 21133, 1982, 616, 676, 27592, 1152, 543, 949, 581, 17105, 12422, 2390, 19169, 540, 606, 5993, 1867, 10503, 519, 1382 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 799, 814, 3875, 2640, 538, 519, 2127, 540, 9036, 2773, 267, 1072, 543, 1134, 5630, 267, 6197, 267, 543, 3347, 269, 901, 2376, 786, 2263, 891, 2640, 267, 2709, 4143, 7194, 267, 543, 1683, 10372, 585, 5883, 519, 5912, 547, 513, 811, 5691, 9036, 563, 763, 11588, 540, 3213, 2286, 454, 268, 31071, 13437, 454, 10870, 2286, 666, 3648, 2087, 9036, 13526, 334, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 808, 21819, 2782, 11071, 910, 674, 18017, 538, 519, 28044, 956, 540, 519, 7414, 4438, 2622, 2782, 4083, 692, 7072, 912, 5970, 596, 2479, 6836, 547, 3802, 998, 513, 10053, 4104, 286, 898, 781, 9157, 2469, 267, 1318, 286, 5994, 3843, 547, 4339, 513, 2112, 972, 256, 2334, 781, 4010, 1018, 7980, 1185, 547, 798, 1282, 2622, 2782, 4083, 950, 789, 10692, 538, 519, 795, 2426, 956, 540, 4025, 899, 2871, 611, 531, 4754, 531, 267, 1715, 19892, 267, 543, 8738, 2742, 269, 901, 1826, 540, 8165, 568, 1572, 834, 329, 21819, 13137, 2437, 543, 621, 4843, 2189, 2591, 547, 1312, 20466, 543, 31196, 4229, 269, 2913, 781, 2263, 875, 891, 12959, 11200, 539, 543, 1946, 26570, 13137, 9863, 865, 2352, 780, 6637, 476, 272, 281, 5020, 538, 519, 808, 21819, 454, 6524, 649, 4685, 883, 519, 4890, 8396, 2460, 540, 26570, 13137, 267, 1577, 781, 1101, 1174, 1175, 875, 4101, 1272, 538, 519, 26570, 1223, 581, 585, 7980, 269, 1358, 5185, 3665, 3002, 543, 11195, 1554, 543, 3781, 267, 609, 3586, 11811, 1818, 519, 2666, 544, 28854, 543, 31868, 2044, 269, 15302, 3262, 3533, 1813, 547, 4057, 19455, 543, 13572, 1216, 2959, 269, 10469, 10535, 15315, 267, 20151, 267, 682, 16696, 267, 543, 13663, 21307, 11538, 19498, 15054, 3606, 6937, 269, 9442, 1851, 10136, 729, 7294, 1317, 2234, 3930, 1419, 8959, 538, 971, 14927, 2175, 269, 4634, 10188, 998, 5394, 16714, 543, 14869, 14099, 9863, 16602, 2094, 7851, 10355, 9676, 519, 19178, 593, 519, 2666, 8308, 780, 6637, 476, 273, 281, 11154, 532, 547, 519, 5113, 454, 8601, 891, 10792, 2713, 2175, 267, 20679, 1869, 2877, 547, 2932, 4108, 4238, 3927, 269, 1924, 267, 789, 9862, 741, 12485, 267, 9604, 267, 7802, 267, 543, 3937, 547, 9290, 519, 1604, 269, 22307, 4536, 20595, 17426, 26977, 547, 948, 1832, 3579, 1247, 849, 16471, 538, 609, 741, 10450, 269, 6682, 28190, 3042, 31238, 543, 25192, 4389, 15287, 269, 1284, 777, 976, 941, 3282, 539, 5781, 547, 2061, 15309, 532, 267, 543, 5672, 2867, 525, 2968, 1898, 2645, 585, 5969, 10092, 269, 7981, 1242, 4559, 23384, 11826, 2866, 547, 1451, 6668, 1983, 267, 14980, 3350, 2553, 267, 543, 5605, 2313, 2994, 1808, 547, 26570, 5054, 780, 6637, 476, 274, 281, 23433, 12694, 540, 808, 21819, 10395, 520, 454, 23382, 520, 538, 519, 26570, 28209, 3648, 689, 2757, 3864, 6370, 26753, 269, 6250, 2225, 729, 3908, 267, 799, 2799, 519, 10171, 540, 9983, 6285, 543, 1500, 25640, 1804, 8397, 5322, 811, 1950, 269, 19264, 16640, 941, 1455, 267, 607, 941, 22266, 1688, 3562, 11804, 24515, 950, 14763, 11402, 1142, 824, 693, 2673, 20453, 269, 10965, 23803, 3595, 543, 1630, 984, 344, 20637, 10645, 1082, 2729, 269, 3958, 267, 4509, 3761, 3515, 729, 11212, 4101, 2016, 519, 30217, 748, 1768, 23230, 543, 3668, 540, 5989, 269, 10705, 267, 7727, 8452, 3842, 1612, 778, 1393, 12772, 267, 6028, 10136, 8200, 593, 8726, 1426, 543, 993, 32099, 789, 1223, 25094, 3188, 12725, 780, 6637, 476, 275, 281, 25587, 645, 25114, 540, 808, 21819, 2782, 11071, 454, 5278, 8037, 12959, 10223, 26570, 13137, 1331, 519, 11135, 540, 2871, 611, 531, 4754, 531, 630, 3707, 273, 1070, 1141, 1977, 2261, 1149, 17956, 513, 2565, 2011, 7615, 5103, 18979, 5545, 4187, 282, 519, 918, 2129, 9874, 543, 1955, 13921, 11044, 630, 3707, 275, 264, 538, 3127, 543, 8738, 2742, 267, 1141, 3703, 543, 4095, 4229, 6707, 1065, 8215, 7372, 5545, 1055, 839, 1161, 282, 543, 519, 11135, 540, 645, 10044, 8566, 7431, 630, 3707, 273, 268, 6246, 264, 538, 14466, 7699, 1715, 19892, 267, 1141, 8241, 543, 1977, 10136, 22848, 877, 1713, 2845, 6750, 23665, 547, 14710, 31737, 5545, 7158, 780, 6962, 912, 297, 21819, 13137, 7318, 519, 7182, 540, 1480, 16608, 543, 4108, 4640, 269, 18984, 1516, 267, 1577, 4805, 10888, 267, 2838, 10373, 2168, 4222, 267, 2790, 6043, 267, 5499, 3206, 267, 543, 13916, 269, 6736, 1373, 835, 540, 519, 1034, 27615, 9934, 3029, 540, 13137, 267, 2984, 540, 22838, 267, 15093, 267, 23274, 267, 543, 17636, 7153, 689, 891, 18894, 15130, 8916, 269, 4653, 267, 4974, 26570, 13137, 3091, 3407, 4030, 883, 1480, 27265, 8015, 14488, 543, 2488, 4245, 10858, 3564, 3140, 2796, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3080, 540, 519, 1271, 1919, 547, 917, 827, 4937, 19958, 5839, 6635, 11037, 729, 602, 3592, 4986, 1767, 610, 2854, 827, 1864, 666, 581, 11967, 1510, 3573, 1382, 547, 19472, 922, 5168, 6888, 269, 1703, 941, 513, 2603, 540, 4128, 585, 713, 269, 13163, 29386, 1102, 18017, 3330, 519, 2475, 8136, 267, 3330, 519, 2782, 4972, 267, 543, 1063, 519, 2782, 543, 25220, 3493, 25902, 782, 5129, 513, 1909, 689, 5839, 6635, 11037, 779, 1140, 8724, 9206, 7584, 538, 2622, 2782, 476, 272, 630, 310, 310, 272, 264, 998, 1010, 20590, 676, 5518, 32457, 1282, 519, 11114, 2782, 269, 3571, 11566, 991, 547, 1711, 1018, 5666, 547, 513, 1381, 540, 7209, 1472, 5128, 729, 1776, 269, 1717, 267, 519, 7887, 2601, 585, 713, 1382, 1966, 729, 602, 267, 952, 519, 22735, 5736, 2797, 1523, 540, 968, 763, 15348, 540, 9608, 20121, 2315, 892, 1185, 1044, 1472, 538, 519, 476, 4350, 271, 779, 6253, 745, 268, 4198, 271, 779, 267, 4937, 19958, 5839, 6635, 11037, 779, 3068, 1131, 723, 1044, 922, 16968, 7911, 269, 18421, 519, 812, 1705, 729, 2123, 267, 543, 602, 1500, 3388, 3025, 3116, 1705, 538, 11685, 547, 1864, 267, 968, 26051, 892, 547, 873, 269, 4935, 4553, 21448, 540, 2012, 10912, 267, 16496, 556, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 297, 21819, 2782, 11071, 257, 607, 851, 540, 834, 19615, 1315, 13639, 1315, 8092, 17086, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8702, 547, 938, 2257, 1362, 256, 4653, 649, 2811, 2469, 547, 1451, 827, 1945, 2731, 3579, 1572, 519, 3163, 27375, 12039, 267, 610, 590, 5746, 585, 2110, 269, 1411, 1522, 1589, 713, 4992, 19309, 267, 855, 3972, 803, 267, 621, 781, 7168, 4277, 2899, 596, 1174, 1018, 621, 781, 782, 827, 780, 5970, 596, 2479, 4862, 540, 513, 4760, 1354, 286, 589, 4760, 568, 899, 513, 16681, 12139, 267, 4849, 3079, 540, 2984, 543, 5961, 267, 621, 814, 3621, 1382, 543, 8906, 2854, 676, 4966, 269, 1656, 1175, 899, 875, 972, 616, 6266, 540, 1114, 17476, 856, 972, 267, 972, 616, 9748, 540, 13746, 1932, 269, 2368, 13746, 1445, 593, 2831, 267, 930, 593, 2230, 267, 930, 593, 4915, 910, 596, 1205, 519, 2856, 780, 3086, 267, 4952, 952, 2576, 5206, 513, 14262, 6602, 827, 5243, 543, 3370, 621, 538, 513, 2915, 4760, 269, 1809, 1287, 267, 2576, 3116, 3357, 2059, 543, 1500, 606, 1256, 8273, 6602, 827, 7314, 543, 3370, 621, 538, 513, 3032, 4760, 269, 1215, 1131, 3744, 917, 945, 4362, 1018, 1101, 286, 2334, 781, 1141, 519, 3163, 27375, 12039, 2501, 538, 13561, 2439, 763, 590, 5746, 8952, 3950, 540, 1169, 2582, 3621, 1957, 2479, 3370, 538, 5215, 540, 13746, 1472, 519, 1158, 269, 1879, 835, 10196, 8100, 1776, 10196, 781, 960, 538, 741, 1378, 1957, 267, 519, 590, 5746, 4967, 602, 1524, 269, 1635, 3168, 693, 891, 4296, 1063, 4574, 267, 3744, 666, 1294, 875, 2093, 1628, 2390, 1142, 824, 936, 942, 269, 1358, 666, 849, 2995, 945, 1185, 519, 3312, 2856, 543, 2285, 873, 5491, 585, 621, 780, 3383, 1946, 1281, 1022, 540, 713, 2339, 286, 4270, 267, 6616, 827, 519, 590, 5746, 2337, 721, 5660, 875, 1454, 4674, 4422, 883, 1818, 1007, 3621, 8906, 269, 12207, 1810, 1405, 1175, 2097, 909, 609, 13085, 2093, 856, 540, 24076, 282, 789, 1419, 1796, 593, 519, 17525, 540, 23766, 945, 3357, 1354, 873, 269, 9578, 267, 1620, 875, 14327, 960, 786, 948, 596, 1831, 1732, 5830, 543, 3173, 3054, 2439, 4131, 781, 1413, 693, 606, 1383, 269, 5994, 596, 2811, 1603, 513, 1867, 827, 32463, 585, 707, 2257, 4023, 1788, 269, 1403, 596, 1265, 513, 1390, 2707, 602, 6941, 875, 32463, 7669, 865, 3728, 267, 596, 1058, 9090, 946, 621, 269, 1809, 1810, 1405, 7340, 547, 2285, 5491, 1141, 5491, 568, 1813, 256, 2311, 519, 1439, 540, 707, 1867, 267, 596, 1223, 2328, 1945, 899, 713, 1384, 257, 12441, 596, 917, 602, 32463, 616, 5140, 7669, 11302, 286, 4340, 547, 8055, 1299, 9652, 630, 1708, 271, 1070, 32463, 666, 3914, 11250, 909, 547, 476, 1428, 5195, 829, 5662, 14015, 256, 4256, 2189, 1560, 3337, 2636, 873, 547, 1350, 728, 998, 519, 1216, 24672, 3010, 3528, 1519, 519, 4589, 262, 4408, 543, 519, 4266, 540, 519, 2376, 267, 596, 4312, 2813, 513, 11239, 602, 6645, 3988, 4010, 1141, 596, 3893, 707, 1344, 269, 30474, 16517, 267, 26001, 2496, 1103, 3932, 267, 519, 3163, 27375, 12039, 568, 513, 3532, 1907, 1031, 676, 3744, 10876, 547, 1832, 3950, 540, 1271, 8906, 543, 2285, 5491, 1141, 621, 781, 1813, 269, 1635, 1565, 827, 14327, 1631, 267, 596, 3513, 581, 1134, 5423, 585, 1164, 1153, 267, 2852, 267, 543, 3564, 256, 8414, 3695, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 4760, 540, 10960, 13870, 32245, 3312, 543, 10002, 21242, 1382, 4930, 538, 15349, 610, 538, 2296, 269, 14430, 616, 7608, 585, 8313, 602, 789, 723, 711, 1044, 3370, 543, 616, 711, 2469, 547, 581, 2808, 585, 8313, 11992, 269, 22439, 1058, 5909, 1518, 602, 9444, 519, 12377, 6862, 922, 1292, 9115, 723, 2907, 1044, 3370, 610, 11643, 585, 8313, 538, 1776, 4760, 269, 2353, 22251, 1058, 581, 10483, 676, 519, 14645, 24793, 4813, 267, 799, 666, 581, 1336, 538, 1142, 4320, 540, 519, 4760, 543, 849, 2139, 2228, 538, 4760, 779, 1357, 3135, 269, 901, 1106, 1058, 581, 6192, 543, 9896, 676, 782, 1071, 22052, 4243, 10834, 741, 9844, 547, 922, 8313, 269, 634, 7222, 2278, 568, 3743, 585, 13844, 519, 22782, 540, 1071, 2246, 4243, 269, 634, 7222, 2278, 1058, 581, 10294, 609, 1010, 17017, 2012, 267, 2407, 2022, 531, 2232, 267, 552, 17733, 267, 535, 1314, 543, 15146, 2338, 950, 26446, 519, 12377, 563, 272, 269, 4750, 540, 10960, 13870, 568, 3370, 1079, 2152, 538, 513, 1032, 607, 538, 4873, 543, 5412, 563, 273, 269, 22731, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 13316, 1315, 13129, 1315, 3163, 27375, 12039, 630, 306, 5746, 1040, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 5629, 2390, 513, 942, 267, 538, 513, 30152, 14925, 267, 14612, 513, 8049, 13442, 3957, 7585 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18691, 267, 6029, 606, 1858, 547, 519, 5087, 3887, 770, 540, 3345, 3013, 267, 4330, 972, 517, 607, 968, 320, 1007, 543, 15417, 2244, 547, 519, 7178, 6100, 898, 1101, 7902, 538, 476, 4198, 278, 3808, 1927, 609, 513, 12377, 1634, 607, 519, 570, 691, 541, 4039, 566, 630, 1492, 16024, 807, 570, 691, 541, 28262, 1070, 799, 1185, 606, 8966, 5888, 540, 6063, 331, 636, 543, 1957, 267, 1079, 3762, 540, 6063, 331, 636, 20367, 609, 3670, 540, 1957, 267, 519, 8545, 27109, 13032, 338, 262, 2212, 1216, 12201, 267, 799, 941, 30753, 609, 519, 5178, 548, 7027, 540, 519, 476, 16960, 271, 521, 269, 634, 7047, 4919, 2956, 540, 519, 15550, 1633, 10934, 1298, 1042, 2390, 922, 840, 1673, 908, 519, 22116, 540, 18332, 19090, 543, 1010, 12473, 6602, 540, 519, 1715, 2622, 538, 476, 14983, 273, 676, 5111, 476, 2568, 1296, 543, 10480, 519, 15555, 712, 602, 19090, 1223, 2965, 723, 1031, 971, 513, 4786, 1759, 593, 4505, 25655, 13837, 2130, 7518, 1080, 267, 16113, 1346, 540, 2274, 604, 18238, 26856, 269, 276, 454, 1103, 476, 4198, 278, 267, 519, 15550, 1633, 10934, 543, 570, 691, 541, 4039, 566, 941, 8947, 676, 3703, 7467, 4966, 538, 3504, 7851, 543, 1651, 684, 629, 3121, 269, 2767, 634, 24960, 626, 6754, 631, 749, 517, 24603, 873, 547, 519, 2142, 710, 322, 651, 27824, 3883, 543, 2494, 11245, 7732, 538, 23171, 2160, 543, 538, 476, 3192, 273, 519, 23171, 2160, 7732, 20827, 606, 2079, 540, 519, 15550, 1633, 10934, 267, 7551, 27510, 513, 15784, 799, 814, 986, 3022, 585, 936, 476, 3393, 1296, 543, 568, 1869, 5571, 269, 634, 3621, 2079, 540, 519, 15550, 1633, 10934, 8118, 609, 513, 2143, 8701, 2213, 18784, 543, 2473, 11920, 32250, 630, 311, 31686, 264, 2079, 540, 519, 13504, 539, 2127, 267, 4029, 689, 799, 19124, 15966, 337, 821, 11943, 602, 519, 4527, 540, 20133, 848, 538, 519, 13504, 267, 513, 26340, 545, 1106, 540, 24489, 23870, 264, 12547, 267, 18584, 519, 4786, 16119, 547, 519, 476, 736, 628, 2540, 3953, 10834, 519, 15550, 1633, 10934, 1223, 581, 513, 16995, 269, 3451, 4329, 9382, 1210, 17655, 6475, 22794, 543, 1648, 1673, 7371, 619, 633, 2473, 11920, 630, 3633, 311, 264, 2079, 4097, 267, 3374, 5462, 602, 519, 13504, 729, 711, 606, 4401, 7086, 582, 2335, 622, 607, 1336, 593, 519, 2404, 570, 691, 541, 4039, 566, 855, 729, 3327, 3109, 269, 634, 13504, 543, 533, 1105, 618, 540, 519, 15550, 1633, 10934, 941, 556, 12845, 26087, 539, 3607, 1210, 23442, 14001, 2473, 11920, 12998, 630, 18444, 311, 292, 264, 21655, 543, 26857, 2164, 602, 13934, 519, 3932, 540, 15966, 337, 821, 269, 1724, 30521, 22932, 6580, 540, 519, 6063, 331, 636, 4391, 5795, 513, 4266, 540, 476, 16960, 273, 13008, 476, 1556, 31984, 267, 799, 8815, 547, 1369, 835, 3044, 11539, 609, 519, 1216, 5658, 539, 4266, 593, 519, 2404, 1957, 538, 519, 570, 691, 541, 4039, 566, 563, 1103, 476, 1220, 273, 267, 513, 17046, 10548, 534, 31442, 1051, 14029, 8084, 1353, 676, 9466, 543, 18412, 4343, 540, 519, 15550, 1633, 10934, 729, 17298, 609, 476, 277, 3953, 269, 279, 16354, 8955, 29835, 269, 634, 13504, 539, 2127, 941, 15151, 7768, 540, 1079, 2694, 281, 513, 5835, 1899, 602, 729, 9244, 740, 6254, 547, 519, 533, 1105, 618, 14041, 543, 606, 6772, 4660, 3109, 1899, 267, 799, 4951, 2963, 540, 4049, 2530, 538, 2694, 1813, 547, 519, 3109, 20119, 968, 4148, 1136, 1055, 6100, 5811, 540, 519, 3109, 13504, 5795, 519, 8984, 667, 543, 717, 13164, 585, 993, 6973, 748, 3327, 693, 476, 15171, 276, 543, 476, 15647, 271, 4699, 6629, 272, 267, 6606, 269, 634, 4527, 540, 20133, 848, 729, 10423, 267, 609, 8984, 13164, 693, 476, 16318, 543, 476, 4375, 279, 4699, 6629, 272, 543, 4667, 547, 581, 22566, 540, 513, 15931, 8483, 2044, 282, 2705, 267, 1416, 1590, 581, 3144, 607, 20133, 848, 814, 2965, 1044, 4857, 538, 9758, 15456, 818, 974, 30440, 3648, 840, 1673, 908, 922, 3964, 10282, 538, 519, 476, 736, 628, 2540, 269, 4375, 267, 2412, 454, 1103, 476, 4489, 273, 267, 12070, 325, 5090, 30576, 333, 747, 7000, 519, 6602, 540, 1010, 3134, 11345, 12377, 799, 15151, 7389, 547, 519, 2038, 476, 1428, 628, 2540, 281, 519, 476, 13301, 6063, 331, 636, 3817, 609, 3109, 7097, 543, 2351, 7007, 4874, 577, 4435, 5515, 267, 1631, 31002, 519, 968, 13328, 781, 1034, 12357, 12377, 5608, 20998, 513, 16909, 28094, 540, 27386, 4915, 543, 620, 17057, 344, 269, 1323, 1383, 568, 3254, 538, 7612, 476, 272, 269, 274, 269, 5617, 773, 1386, 547, 581, 2854, 2901, 538, 513, 5728, 3009, 610, 538, 513, 4503, 1893, 267, 519, 2101, 1966, 609, 713, 12377, 568, 602, 621, 814, 3976, 2484, 1219, 1221, 782, 8942, 693, 8144, 269, 634, 3140, 8810, 766, 540, 519, 30576, 333, 747, 2494, 11245, 267, 899, 602, 540, 519, 15550, 1633, 10934, 267, 568, 14869, 539, 538, 3486, 26675, 269, 2764, 267, 3066, 589, 2487, 3102, 543, 17715, 2079, 540, 519, 4401, 7086, 13504, 593, 519, 30576, 333, 747, 12377, 814, 1044, 17298, 6078, 1210, 8701, 2213, 1769, 22794, 267, 590, 4932, 270, 3633, 288, 311, 306, 26563, 4479, 267, 2890, 2473, 31686, 543, 16843, 21655, 563, 19284, 519, 15550, 1633, 10934, 267, 519, 30576, 333, 747, 2494, 11245, 568, 2351, 7007, 543, 814, 519, 5413, 936, 824, 13504, 539, 6054, 538, 2348, 519, 4527, 540, 5885, 10763, 1344, 4611, 689, 519, 23827, 566, 540, 519, 2404, 23416, 547, 4217, 538, 519, 12225, 1108, 267, 5655, 1700, 4366, 799, 4667, 547, 581, 23963, 1134, 3964, 543, 11215, 540, 606, 7084, 540, 519, 12377, 547, 519, 2923, 24834, 1974, 563, 307, 578, 1841, 519, 1439, 540, 519, 476, 279, 628, 2540, 267, 538, 476, 6507, 277, 9460, 267, 513, 31494, 1572, 17389, 3316, 320, 5423, 606, 25139, 12377, 593, 519, 7442, 5914, 2988, 572, 540, 853, 269, 3627, 538, 519, 27694, 540, 16114, 334, 9410, 269, 4014, 713, 3312, 568, 1631, 4503, 267, 621, 6383, 1896, 16555, 5931, 936, 519, 1985, 1079, 610, 1614, 5553, 5466, 1934, 3749, 13882, 543, 519, 4947, 540, 519, 1101, 7085, 3317, 1756, 269, 2368, 476, 3953, 540, 891, 865, 10777, 2142, 6737, 22251, 616, 1634, 267, 543, 519, 1034, 2347, 568, 519, 6250, 580, 15402, 2142, 6737, 632, 4406, 322, 822, 5964, 630, 1492, 26467, 1410, 632, 966, 718, 611, 13521, 264, 1631, 538, 519, 24157, 1774, 8619, 1642, 23045, 326, 1470, 632, 13244, 30434, 267, 966, 718, 611, 13521, 267, 538, 10011, 850, 586, 15182, 267, 8050, 267, 799, 729, 6192, 538, 476, 280, 3583, 543, 13408, 476, 15996, 9212, 540, 6063, 331, 636, 609, 476, 9262, 2351, 7007, 9910, 2137, 269, 5392, 589, 2417, 2947, 9212, 21078, 538, 519, 2817, 7732, 540, 8050, 267, 24223, 519, 5444, 30688, 540, 2441, 269, 901, 2142, 6737, 568, 2189, 1851, 519, 4207, 2142, 6737, 12215, 538, 602, 621, 3568, 519, 15040, 540, 922, 2278, 543, 519, 7389, 540, 922, 30134, 618, 543, 12032, 267, 12077, 519, 476, 279, 628, 4873, 543, 519, 476, 280, 628, 540, 5181, 267, 476, 280, 3583, 282, 538, 1840, 547, 922, 1360, 1164, 2298, 267, 621, 568, 2189, 1965, 23298, 10999, 538, 602, 621, 568, 30753, 607, 519, 960, 540, 519, 2582, 1085, 11171, 267, 744, 2041, 1723, 269, 589, 10548, 534, 4715, 14029, 8084, 1353, 540, 713, 2142, 6737, 632, 4406, 322, 822, 5964, 729, 17298, 1789, 543, 1896, 1271, 23416, 941, 4857, 689, 519, 2351, 7007, 10207, 281, 540, 1880, 10083, 1934, 267, 568, 602, 4401, 7086, 13504, 814, 1044, 1031, 711, 1152, 585, 519, 7097, 855, 607, 513, 3109, 20119, 538, 519, 2351, 7007, 10207, 282, 711, 3327, 3109, 607, 16143, 269, 769, 1776, 19494, 689, 513, 13354, 476, 1015, 628, 2540, 2142, 6737, 689, 519, 715, 1690, 5028, 27694, 267, 1631, 538, 16114, 334, 667, 4040, 334, 632, 590, 3342, 267, 4401, 7086, 13504, 729, 1336, 538, 519, 8098, 4869, 675, 609, 519, 6505, 2699, 7777, 524, 4883, 629, 541, 267, 16035, 23870, 264, 30423, 267, 547, 3132, 513, 4158, 2699, 7990, 269, 13536, 22251, 689, 519, 4015, 2004, 538, 519, 16114, 334, 667, 4040, 334, 3933, 2120, 344, 538, 590, 3342, 6580, 689, 476, 1704, 628, 2540, 17820, 23399, 540, 4401, 7086, 13504, 543, 3327, 3109, 538, 741, 3109, 6477, 7695, 563, 2304, 4277, 10548, 534, 4715, 14029, 8084, 1353, 540, 3327, 3109, 538, 802, 593, 1896, 540, 891, 22251, 4371, 538, 519, 1482, 4015, 607, 519, 2142, 6737, 632, 4406, 322, 822, 5964, 12377, 538, 519, 3933, 2120, 344, 540, 16114, 334, 667, 4040, 334, 632, 590, 3342, 2982, 267, 1101, 569, 267, 519, 21533, 540, 741, 7084, 607, 3327, 2861, 538, 802, 543, 267, 2034, 569, 267, 1344, 827, 519, 2009, 27126, 540, 519, 3327, 689, 799, 519, 538, 802, 941, 1500, 269, 2353, 26034, 1397, 519, 1915, 12264, 3376, 667, 543, 717, 13164, 540, 993, 6973, 748, 3327, 890, 1136, 1472, 476, 15171, 271, 543, 476, 14689, 271, 4699, 6629, 272, 269, 589, 19706, 10518, 4729, 540, 2185, 22251, 689, 519, 16114, 334, 667, 4040, 334, 632, 590, 3342, 4015, 267, 16030, 589, 5960, 273, 689, 519, 476, 1704, 628, 2540, 267, 589, 5960, 275, 689, 519, 476, 1704, 628, 543, 476, 1240, 628, 2578, 3753, 267, 589, 5960, 476, 277, 689, 519, 476, 1704, 628, 2540, 543, 589, 5960, 1015, 689, 519, 476, 1240, 628, 2540, 269, 634, 26034, 540, 589, 5960, 476, 273, 543, 589, 5960, 275, 723, 667, 543, 717, 13164, 693, 476, 14530, 279, 13008, 476, 273, 543, 476, 14689, 272, 4699, 6629, 272, 267, 22566, 540, 513, 5642, 610, 32334, 3109, 267, 855, 519, 9000, 540, 519, 19552, 6512, 693, 476, 31634, 1058, 581, 7074, 267, 607, 8282, 547, 519, 29835, 15423, 540, 476, 4281, 276, 16354, 1031, 1934, 269, 7906, 589, 5960, 277, 814, 513, 14733, 1164, 530, 13273, 3784, 13105, 693, 476, 8182, 279, 4699, 6629, 272, 593, 519, 717, 6512, 1298, 1042, 693, 476, 14991, 279, 4699, 6629, 272, 543, 513, 2539, 667, 6512, 1298, 1042, 693, 476, 9873, 279, 4699, 6629, 272, 267, 22566, 540, 513, 23315, 3812, 1210, 513, 18300, 748, 1570, 267, 543, 513, 2362, 3448, 6512, 8515, 585, 519, 717, 6512, 936, 519, 667, 6512, 269, 7053, 267, 589, 5960, 1015, 2982, 513, 717, 6512, 693, 476, 8182, 272, 4699, 6629, 272, 543, 513, 667, 6512, 693, 476, 14530, 277, 4699, 6629, 272, 609, 2147, 3448, 8515, 547, 602, 585, 589, 5960, 273, 267, 10834, 513, 865, 582, 2861, 3327, 2707, 1759, 593, 968, 18872, 25879, 9731, 1103, 4334, 267, 519, 10548, 534, 8552, 540, 4401, 7086, 13504, 689, 519, 12377, 4015, 543, 519, 476, 1015, 628, 2540, 2142, 6737, 632, 4406, 322, 822, 5964, 568, 3254, 538, 7612, 476, 272, 269, 275, 281, 8984, 10548, 534, 15040, 13164, 540, 4401, 7086, 13504, 616, 1336, 693, 476, 14991, 278, 544, 342, 3376, 267, 476, 16825, 271, 521, 3376, 267, 476, 16318, 275, 544, 342, 13105, 267, 476, 16328, 272, 544, 3376, 267, 476, 280, 4391, 530, 267, 476, 6507, 275, 530, 267, 476, 3583, 276, 530, 267, 476, 277, 1691, 270, 20862, 544, 3376, 267, 476, 29710, 530, 267, 782, 538, 4699, 6629, 272, 269, 634, 6512, 693, 476, 16328, 272, 9775, 538, 530, 13273, 3784, 1839, 267, 2918, 267, 1789, 1063, 476, 13670, 271, 543, 476, 14530, 271, 267, 15029, 602, 693, 476, 277, 1691, 270, 20862, 666, 4268, 1063, 476, 25953, 543, 476, 275, 3445, 4699, 6629, 272, 563, 763, 8446, 540, 543, 10763, 7130, 1063, 3504, 538, 802, 543, 519, 6284, 540, 519, 1351, 4592, 633, 2470, 540, 4401, 7086, 582, 2335, 622, 538, 802, 568, 1631, 1134, 13006, 267, 7367, 267, 7871, 855, 519, 6580, 540, 19494, 22251, 609, 1022, 8856, 568, 1869, 3622, 711, 15164, 9003, 676, 6514, 540, 519, 13504, 5888, 4805, 269, 634, 7156, 540, 2404, 1344, 689, 28650, 6580, 540, 519, 12377, 26828, 267, 1965, 23298, 1108, 267, 682, 13877, 2762, 543, 26567, 13307, 540, 2351, 7007, 23416, 1570, 569, 20674, 538, 519, 19027, 540, 519, 25196, 540, 513, 12377, 269, 30551, 21655, 814, 7152, 519, 3209, 4527, 540, 4401, 7086, 538, 802, 538, 606, 8098, 4869, 675, 609, 824, 538, 802, 971, 607, 3327, 3109, 543, 2845, 6229, 338, 1419, 538, 519, 1482, 12377, 267, 17923, 519, 4557, 564, 602, 621, 568, 711, 3274, 606, 2901, 5924, 3903, 855, 5310, 9356, 519, 8244, 540, 519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 10775, 1657, 873, 563, 268, 634, 2063, 1079, 8424, 540, 28937, 616, 1572, 13735, 28937, 1317, 789, 798, 711, 8936, 547, 4376, 538, 4395, 540, 873, 269, 5502, 267, 13735, 28937, 1152, 8936, 547, 519, 31175, 538, 519, 1394, 563, 305, 756, 338, 666, 581, 7745, 676, 1286, 10913, 267, 8813, 267, 610, 824, 15779, 2621, 269, 25906, 18655, 616, 2356, 1360, 11213, 1317, 789, 4125, 519, 7633, 543, 6091, 538, 519, 9221, 269, 898, 666, 581, 2352, 547, 13236, 267, 11522, 267, 610, 1256, 1847, 950, 596, 723, 7745, 28937, 269, 25906, 17795, 2589, 1331, 4049, 10775, 1928, 267, 31926, 950, 15700, 519, 1858, 267, 543, 7411, 7244, 610, 23472, 563, 31262, 2986, 25906, 338, 454, 763, 3119, 1599, 540, 28937, 568, 547, 2149, 519, 8219, 538, 519, 9221, 13570, 269, 634, 28937, 849, 948, 721, 13236, 676, 9750, 543, 24931, 607, 649, 11375, 1446, 543, 17938, 1446, 269, 1717, 267, 7745, 28937, 666, 1118, 621, 2352, 547, 13236, 1317, 789, 3970, 519, 3350, 540, 519, 9221, 6091, 563, 15650, 2986, 25906, 20070, 3753, 454, 2467, 616, 1614, 1114, 2010, 540, 10775, 7063, 912, 268, 589, 17795, 568, 513, 2736, 538, 519, 5642, 269, 1280, 1383, 267, 513, 5762, 3293, 10775, 666, 581, 3361, 676, 1286, 10913, 267, 8813, 267, 610, 824, 15779, 2621, 563, 268, 589, 20247, 6327, 4386, 950, 519, 4745, 1063, 519, 10775, 543, 12636, 568, 6410, 856, 540, 1747, 269, 901, 666, 4755, 952, 596, 2887, 593, 707, 1394, 610, 4309, 513, 1463, 9514, 547, 519, 4395, 540, 707, 9221, 563, 268, 589, 838, 1778, 4386, 950, 519, 28587, 602, 8936, 519, 28937, 547, 519, 12636, 616, 21401, 610, 14324, 269, 901, 666, 4755, 952, 596, 6335, 707, 8731, 810, 610, 4309, 513, 1463, 9514, 547, 519, 2427, 540, 707, 9221, 563, 763, 10775, 21799, 568, 1500, 909, 540, 519, 28937, 543, 741, 7923, 6091, 269, 634, 10775, 21799, 14014, 519, 2295, 267, 9641, 267, 543, 824, 8219, 538, 519, 9221, 13570, 269, 634, 28937, 849, 948, 721, 13236, 676, 9750, 543, 24931, 607, 649, 11375, 1446, 543, 17938, 1446, 269, 25906, 5945, 666, 2014, 4049, 1928, 538, 519, 9221, 269, 634, 1928, 949, 22009, 950, 596, 1491, 513, 2620, 7362, 267, 11522, 267, 610, 1847, 1472, 269, 1411, 949, 849, 1745, 31926, 950, 15700, 519, 13676, 1858, 269, 769, 1840, 267, 621, 949, 581, 2352, 547, 13236, 610, 11522, 1813, 547, 519, 1928, 269, 769, 930, 2665, 267, 519, 10775, 949, 14047, 675, 519, 2960, 543, 2014, 513, 20015, 1047, 610, 26686, 563, 21618, 2986, 589, 7935, 5287, 25906, 912, 5278, 540, 519, 2589, 540, 513, 7745, 10775, 616, 607, 5205, 912, 268, 27275, 1928, 538, 519, 9221, 454, 268, 30975, 538, 2620, 7244, 454, 268, 570, 2658, 1145, 950, 15700, 519, 4299, 1858, 454, 268, 4210, 2454, 610, 20015, 2358, 1472, 519, 13676, 1858, 454, 28036, 19024, 2060, 674, 847, 3293, 25906, 338, 454, 2691, 596, 616, 12008, 609, 7745, 28937, 267, 621, 568, 1898, 547, 1265, 513, 2990, 602, 568, 6899, 543, 786, 711, 2322, 1932, 1454, 2604, 593, 519, 13676, 1858, 269, 3371, 616, 513, 1906, 7158, 547, 2887, 18069, 912, 28036, 2201, 2659, 7982, 912, 1607, 2990, 786, 1450, 596, 547, 1832, 707, 2212, 543, 12636, 538, 12972, 269, 769, 1840, 267, 11093, 513, 10788, 578, 896, 707, 19704, 949, 948, 14867, 2604, 593, 707, 2539, 1394, 563, 28036, 2201, 2659, 17121, 912, 2252, 596, 3207, 593, 707, 2427, 267, 621, 568, 1898, 547, 1832, 707, 12636, 2786, 269, 1411, 666, 1747, 513, 10788, 578, 1063, 707, 19704, 547, 948, 1832, 707, 25637, 543, 10652, 6665, 13988, 563, 28036, 769, 589, 1234, 743, 10719, 912, 28036, 532, 538, 513, 556, 743, 10719, 666, 1491, 930, 540, 519, 2604, 1055, 540, 707, 9221, 543, 1118, 621, 4443, 547, 13236, 269, 1411, 949, 1616, 547, 1747, 513, 10788, 578, 3297, 707, 1394, 585, 1489, 563, 21982, 12213, 22165, 26387, 912, 3080, 540, 519, 1655, 1919, 596, 666, 798, 585, 7745, 28937, 568, 547, 2259, 2620, 7244, 269, 901, 786, 948, 1832, 707, 9641, 9450, 543, 2061, 16415, 269, 898, 568, 849, 606, 5140, 1259, 547, 14867, 1928, 563, 28274, 4672, 547, 519, 13676, 1858, 666, 948, 2569, 11926, 543, 1928, 269, 10979, 1058, 581, 4294, 585, 476, 736, 3764, 543, 711, 581, 5116, 2047, 593, 519, 2960, 563, 8196, 10266, 2405, 1709, 912, 2252, 596, 616, 538, 4049, 1928, 267, 936, 7308, 23716, 6646, 949, 711, 581, 2614, 547, 14867, 707, 2589, 269, 1411, 949, 991, 547, 1491, 13310, 1928, 6646, 269, 2142, 2386, 547, 1246, 519, 5528, 593, 519, 6003, 5402, 563, 7476, 1773, 4868, 2986, 10163, 912, 2005, 568, 1898, 547, 1205, 7899, 540, 1964, 950, 596, 723, 7745, 28937, 269, 901, 786, 948, 707, 1560, 12115, 543, 2569, 1928, 269, 4746, 267, 2057, 2238, 8506, 596, 547, 946, 707, 9221, 6091, 563, 290, 965, 532, 568, 1898, 547, 948, 2312, 707, 9641, 267, 855, 621, 666, 581, 2300, 745, 857, 908, 269, 1677, 11522, 9108, 267, 1491, 513, 2620, 7362, 543, 1287, 1577, 519, 2011, 856, 7444, 269, 1411, 949, 1616, 547, 2322, 513, 10788, 578, 936, 707, 9221, 547, 2149, 707, 28937, 563, 2791, 666, 798, 513, 1906, 1919, 547, 8897, 519, 9636, 540, 7745, 28937, 269, 14171, 2620, 24967, 543, 1210, 4672, 949, 948, 2569, 1928, 543, 11926, 269, 1411, 949, 849, 991, 547, 1491, 1928, 6646, 269, 5192, 7899, 540, 1964, 543, 2057, 2238, 602, 2154, 596, 547, 946, 707, 9221, 6091, 269, 2060, 942, 267, 707, 28937, 786, 12115, 267, 543, 596, 3580, 1745, 1732, 563, 19522, 1280, 23046, 454, 2467, 616, 513, 1906, 1919, 596, 666, 798, 547, 948, 519, 7067, 1184, 912, 268, 10163, 281, 898, 568, 1271, 547, 1964, 607, 1454, 607, 2009, 865, 707, 1560, 666, 12115, 563, 268, 10979, 281, 16792, 4672, 547, 519, 13676, 1858, 666, 948, 2569, 1928, 543, 11926, 563, 268, 3281, 1833, 281, 654, 8960, 513, 13496, 28630, 666, 948, 1489, 519, 13676, 1858, 543, 2569, 11926, 563, 268, 29175, 566, 281, 18227, 519, 13676, 1858, 11506, 1657, 707, 2295, 666, 948, 2569, 11926, 563, 29662, 5287, 28937, 616, 513, 4049, 5945, 602, 666, 581, 1360, 11213, 269, 1717, 267, 972, 616, 930, 1919, 596, 666, 798, 547, 1118, 519, 7067, 1184, 811, 19242, 269, 2060, 1697, 1416, 543, 2126, 267, 596, 786, 581, 593, 707, 1259, 547, 6051, 538, 1100, 942, 563, 28036, 2060, 13038, 7935, 5287, 25906, 338, 454, 2791, 666, 798, 513, 1906, 1919, 547, 1118, 3207, 609, 7745, 28937, 811, 6899, 269, 8347, 12008, 593, 707, 2427, 610, 605, 5529, 909, 593, 10788, 3298, 269, 1411, 949, 849, 1265, 621, 5363, 547, 5957, 513, 10690, 1922, 9231, 25099, 610, 1025, 1787, 269, 2142, 2386, 547, 2057, 14084, 6366, 593, 707, 1394, 267, 607, 713, 666, 2333, 2604, 593, 707, 9641, 543, 2014, 7411, 7244, 269, 1403, 596, 616, 2348, 8373, 12008, 267, 2307, 707, 4387, 827, 2921, 1928, 6646, 269, 2060, 513, 2370, 3787, 540, 4693, 543, 5470, 267, 596, 1058, 581, 2111, 547, 1265, 513, 2990, 602, 568, 6899, 543, 786, 948, 596, 1205, 513, 1434, 3781, 779, 3207, 563, 29662, 5287, 28937, 616, 513, 1455, 5945, 3361, 676, 1286, 10913, 267, 8813, 267, 610, 824, 15779, 2621, 269, 25906, 18655, 616, 2356, 1360, 11213, 1317, 789, 4125, 519, 7633, 543, 6091, 538, 519, 9221, 269, 898, 666, 581, 2352, 547, 13236, 267, 11522, 267, 610, 1256, 1847, 950, 596, 723, 7745, 28937, 269, 634, 3119, 1599, 540, 28937, 568, 547, 2149, 519, 8219, 538, 519, 9221, 13570, 269, 634, 28937, 849, 948, 721, 13236, 676, 9750, 543, 24931, 607, 649, 11375, 1446, 543, 17938, 1446, 269, 7935, 5287, 28937, 666, 1118, 621, 2352, 547, 13236, 1317, 789, 3970, 519, 3350, 540, 519, 9221, 6091, 563, 20684, 1411, 631, 697, 17949, 7335, 454, 1692, 1677, 16505, 519, 18888, 2986, 2657, 17520, 454, 2710, 13813, 5262, 22852, 6435, 1411, 12619, 454, 16032, 5794, 8830, 8595, 585, 12619, 532, 454, 16032, 12708, 13813, 5262, 12528, 454, 1692, 7043, 1677, 14840, 5794, 8830, 8595, 769, 16170, 3336, 454, 268, 1215, 1677, 17547, 674, 691, 532, 769, 2659, 12619, 286, 910, 5147, 476, 2641, 267, 476, 1708, 273, 454, 268, 1215, 1677, 12619, 2060, 1323, 2423, 25124, 286, 910, 5147, 476, 2641, 267, 476, 1708, 273, 454, 268, 1215, 1677, 12619, 9453, 15850, 286, 910, 5147, 476, 2641, 267, 476, 1708, 273, 0, 763, 476, 1789, 6377, 1974, 689, 5181, 476, 1428, 628, 547, 5239, 476, 1428, 628, 568, 13166, 2817, 17104, 11595, 3923, 269, 5272, 7853, 26549, 713, 942, 8335, 865, 649, 1616, 547, 917, 875, 596, 798, 621, 563, 13233, 17104, 11595, 13600, 729, 3323, 538, 476, 3422, 279, 630, 334, 1553, 6053, 607, 2817, 17104, 11595, 10432, 264, 547, 5431, 519, 10781, 543, 7418, 540, 17104, 4892, 945, 723, 6273, 1866, 547, 3035, 1967, 269, 4653, 267, 621, 779, 513, 476, 1789, 6377, 1974, 3989, 676, 16873, 540, 519, 1686, 543, 4529, 540, 4892, 609, 513, 1920, 9371, 689, 8050, 267, 519, 12144, 267, 6792, 543, 6239, 543, 3162, 3013, 563, 763, 3923, 568, 606, 1271, 12576, 711, 1152, 540, 938, 4182, 779, 19366, 1686, 855, 849, 540, 519, 9059, 602, 4523, 950, 4529, 2097, 1927, 269, 1284, 4126, 602, 3025, 267, 5824, 343, 610, 711, 267, 3217, 513, 2736, 713, 3923, 547, 8956, 543, 8661, 17104, 2528, 543, 938, 2197, 779, 4763, 269, 4935, 519, 2243, 2507, 15681, 721, 1018, 596, 2461, 3257, 547, 8661, 563, 2171, 3580, 2671, 519, 2164, 540, 713, 3542, 538, 938, 12353, 20394, 269, 630, 5472, 6114, 616, 20822, 8094, 295, 7637, 547, 4777, 1714, 24634, 334, 269, 6884, 938, 2984, 616, 21433, 689, 2789, 1004, 593, 938, 2319, 269, 2107, 267, 649, 899, 547, 1832, 596, 27378, 1862, 1411, 917, 1862, 20822, 269, 1656, 267, 585, 602, 267, 13386, 1714, 26603, 761, 7702, 282, 834, 14976, 4982, 760, 334, 1701, 1284, 2291, 547, 24244, 519, 9739, 540, 5830, 267, 21706, 267, 543, 1543, 15888, 538, 519, 2230, 1063, 519, 2136, 2276, 543, 18010, 267, 543, 649, 849, 4183, 2984, 689, 17896, 22656, 267, 5824, 3013, 267, 543, 519, 5824, 343, 2146, 538, 519, 2475, 269, 11762, 540, 1719, 616, 7209, 12454, 543, 1331, 1402, 2528, 543, 2575, 267, 12286, 1699, 2621, 267, 2916, 543, 519, 1604, 267, 543, 2951, 543, 13820, 655, 5474, 269, 7937, 267, 543, 540, 1576, 649, 2811, 2141, 476, 1911, 260, 4830, 269, 3143, 6608, 267, 4213, 610, 824, 12018, 2188, 1404, 513, 1909, 538, 938, 960, 269, 0, 8702, 547, 519, 10326, 5264, 7991, 454, 23763, 547, 12840, 593, 3009, 6959, 286, 5620, 12961, 596, 991, 5955, 593, 286, 18391, 585, 606, 3063, 1305, 540, 4064, 593, 707, 5767, 1788, 286, 5192, 1489, 609, 8284, 9367, 267, 9858, 267, 543, 23501, 540, 782, 10080, 543, 5578, 2157, 1934, 609, 519, 10326, 5264, 7991, 2336, 19185, 547, 1451, 1945, 1007, 888, 21698, 5264, 3091, 513, 5722, 1554, 1863, 4693, 585, 1007, 1053, 269, 5192, 1569, 547, 5215, 540, 3108, 540, 1543, 543, 6443, 5215, 540, 10326, 5264, 1053, 543, 620, 30282, 538, 519, 2146, 2221, 269, 9359, 707, 1863, 4693, 454, 289, 5055, 1125, 6755, 940, 2023, 1724, 267, 279, 6507, 18745, 454, 1432, 2479, 5949, 547, 8380, 513, 4464, 1793, 1662, 538, 1582, 14656, 16776, 888, 3383, 594, 4312, 1634, 2596, 14103, 585, 513, 1247, 543, 594, 1175, 5063, 3323, 609, 3529, 5264, 543, 4956, 547, 29295, 1250, 3965, 593, 3388, 269, 594, 1031, 547, 946, 1582, 14656, 16776, 899, 713, 912, 283, 6358, 1826, 6889, 3667, 257, 7329, 6889, 4067, 257, 2012, 6889, 12528, 12173, 257, 29451, 2999, 1962, 1315, 11417, 4913, 1631, 3529, 5264, 568, 10213, 803, 547, 4734, 891, 4464, 1793, 10449, 856, 782, 1927, 269, 1772, 713, 1007, 547, 14103, 476, 276, 610, 568, 621, 1175, 513, 5033, 24939, 3364, 888, 573, 534, 1649, 586, 1515, 1015, 267, 25971, 18745, 454, 13425, 713, 3095, 856, 281, 5291, 2517, 23637, 1478, 6503, 2593, 270, 638, 5465, 270, 28307, 279, 1556, 280, 270, 732, 268, 1345, 12641, 3151, 2389, 4711, 268, 20777, 2987, 3620, 15621, 276, 454, 20236, 12641, 3151, 16776, 616, 4570, 538, 14103, 276, 267, 855, 711, 2838, 563, 4131, 803, 917, 952, 602, 1568, 2433, 994, 22832, 4446, 32200, 4375, 267, 1960, 18745, 454, 3674, 713, 1007, 547, 14103, 476, 276, 610, 568, 621, 1175, 513, 5033, 24939, 3364, 888, 6546, 729 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5141, 846, 5346, 281, 29158, 2361, 269, 910, 910, 19676, 11976, 267, 630, 7419, 7894, 264, 907, 634, 24053, 3570, 7573, 2872, 1185, 922, 4332, 538, 519, 3803, 8717, 540, 519, 476, 866, 628, 2540, 950, 519, 4006, 2872, 729, 8429, 998, 513, 4965, 269, 4653, 267, 24053, 753, 18666, 1079, 22188, 540, 1200, 2698, 7573, 2504, 267, 20808, 1152, 835, 21017, 585, 6469, 4616, 269, 1809, 713, 15028, 2990, 949, 711, 2063, 2394, 519, 1439, 540, 519, 2540, 269, 634, 6556, 540, 519, 3044, 267, 2199, 3099, 568, 1970, 267, 621, 9428, 593, 1279, 11710, 799, 3123, 25778, 3101, 630, 29788, 1084, 532, 264, 543, 267, 538, 1840, 267, 519, 2551, 12503, 616, 2679, 579, 271, 335, 6385, 269, 769, 1931, 547, 2087, 7573, 2504, 267, 519, 6554, 8179, 519, 2930, 6351, 540, 519, 6167, 4886, 19510, 270, 11902, 302, 945, 2366, 513, 7573, 4719, 626, 538, 476, 3422, 277, 547, 4163, 856, 1382, 960, 593, 1007, 1164, 3917, 1752, 532, 8677, 269, 3683, 513, 1974, 540, 2185, 1296, 513, 2698, 540, 476, 272, 267, 278, 1691, 7573, 8677, 689, 476, 1240, 1114, 2477, 941, 7318, 269, 901, 8507, 538, 519, 5542, 540, 513, 1906, 3444, 1532, 1042, 8677, 799, 723, 26857, 267, 538, 2361, 23405, 267, 476, 4343, 11435, 829, 23505, 630, 531, 2865, 476, 277, 11973, 9748, 829, 20267, 732, 264, 3379, 609, 519, 3084, 3328, 540, 476, 280, 269, 277, 11435, 689, 519, 1482, 1858, 1210, 519, 2757, 7573, 3099, 7790, 8204, 513, 476, 7785, 260, 2333, 269, 0, 8340, 1863, 2228, 11061, 11762, 8720, 513, 3376, 2039, 540, 2035, 689, 1382, 32112, 1472, 519, 1158, 563, 2171, 723, 2907, 19927, 827, 20803, 519, 5214, 7135, 2687, 547, 594, 16810, 3722, 4808, 538, 2473, 296, 3044, 269, 2913, 721, 11291, 519, 2596, 3652, 547, 2012, 519, 4568, 338, 563, 268, 8564, 519, 13074, 6024, 5832, 540, 3327, 8444, 630, 10174, 2262, 264, 5627, 519, 6198, 1895, 11196, 27846, 1916, 268, 7089, 519, 3327, 8444, 538, 519, 5832, 865, 602, 519, 3327, 12946, 519, 1107, 27846, 1895, 814, 519, 9803, 2009, 1297, 563, 268, 8745, 519, 2655, 15856, 550, 630, 604, 1022, 994, 268, 3503, 519, 2012, 540, 519, 4568, 607, 2630, 563, 763, 1739, 3349, 14550, 519, 594, 16810, 3722, 562, 32393, 1155, 540, 4568, 338, 563, 1805, 4450, 540, 519, 23398, 6828, 540, 15850, 454, 763, 2497, 540, 910, 302, 6953, 1895, 799, 568, 7923, 547, 513, 838, 274, 10316, 2213, 3327, 568, 2147, 547, 519, 2497, 540, 910, 302, 6953, 1895, 7923, 547, 513, 7250, 538, 1216, 269, 1775, 4318, 1421, 2048, 309, 685, 8032, 563, 1103, 971, 4568, 338, 267, 835, 540, 519, 838, 274, 10316, 2213, 20771, 540, 5135, 31085, 16937, 609, 519, 838, 274, 10316, 2213, 20771, 540, 3327, 547, 1106, 513, 595, 14114, 267, 2048, 17385, 685, 6125, 543, 1776, 838, 274, 10316, 2213, 20771, 31085, 16937, 609, 476, 272, 338, 20771, 540, 7250, 547, 1106, 513, 744, 6953, 2048, 17385, 685, 6125, 269, 634, 6967, 1079, 838, 274, 10316, 2213, 10739, 1023, 540, 5135, 616, 13026, 676, 1079, 19157, 8424, 540, 9211, 269, 9603, 547, 519, 19157, 6292, 1107, 19157, 6292, 1065, 13955, 267, 519, 595, 14114, 6953, 6125, 5086, 538, 8715, 12935, 568, 4389, 547, 476, 10482, 269, 280, 4113, 689, 519, 2834, 25543, 14366, 6125, 5086, 540, 476, 11820, 269, 276, 4113, 563, 27609, 566, 540, 15850, 338, 912, 2171, 723, 2907, 19927, 602, 519, 7576, 30858, 18839, 6547, 540, 12659, 2643, 10300, 1938, 609, 32561, 12659, 8932, 267, 7503, 540, 620, 5287, 525, 547, 4568, 338, 676, 20697, 543, 519, 7041, 540, 4568, 338, 1210, 6182, 793, 731, 556, 26047, 538, 2473, 296, 3044, 269, 1452, 6547, 616, 9034, 2213, 2630, 563, 272, 269, 3245, 1325, 330, 2643, 16199, 1938, 912, 2704, 330, 2643, 10300, 1938, 593, 8022, 609, 32561, 25694, 10878, 15121, 3947, 4568, 338, 269, 12729, 12659, 2643, 10300, 1938, 10929, 18839, 676, 19301, 273, 5114, 269, 18520, 543, 24596, 12659, 2643, 10300, 1938, 2356, 10929, 7576, 30858, 18839, 676, 19301, 272, 7271, 563, 2252, 681, 815, 512, 1532, 583, 2643, 267, 519, 5114, 23131, 998, 519, 5250, 540, 512, 1532, 583, 2643, 16087, 6327, 454, 273, 269, 3245, 1325, 5287, 525, 912, 3849, 1288, 540, 1216, 2066, 519, 5595, 6125, 540, 606, 12659, 2940, 538, 4527, 540, 13671, 20962, 584, 545, 3679, 3947, 4568, 338, 269, 901, 1840, 5114, 5205, 4460, 1144, 1731, 1993, 11313, 338, 4341, 563, 274, 269, 3245, 6182, 793, 731, 1234, 26047, 912, 301, 16197, 30858, 1840, 540, 6182, 793, 731, 556, 26047, 547, 620, 1372, 5139, 525, 270, 8208, 2158, 538, 4527, 540, 3819, 552, 750, 4553, 676, 519, 3679, 29230, 3974, 3947, 4568, 338, 269, 31131, 24957, 3947, 3119, 4568, 543, 824, 620, 1372, 5139, 525, 2285, 6281, 4568, 338, 269, 31509, 2158, 2285, 24596, 4568, 338, 563, 291, 756, 528, 2033, 23465, 609, 606, 12659, 2940, 547, 1106, 4693, 330, 2643, 18664, 2033, 799, 593, 2126, 609, 670, 273, 302, 273, 538, 4527, 540, 10878, 15121, 454, 326, 1161, 606, 4568, 269, 630, 8269, 518, 6547, 540, 546, 756, 528, 2033, 264, 634, 2949, 5114, 568, 20697, 540, 606, 12659, 2940, 269, 901, 5114, 11729, 606, 4550, 5336, 1046, 1144, 1731, 1993, 2048, 338, 1587, 563, 276, 269, 22159, 540, 12539, 2643, 3281, 2432, 912, 24965, 794, 540, 620, 1372, 5139, 525, 270, 8208, 2158, 609, 9149, 2704, 295, 275, 538, 519, 4527, 540, 30177, 899, 8946, 293, 630, 307, 25523, 5139, 19745, 584, 534, 264, 4553, 676, 29230, 3974, 3947, 4568, 338, 269, 9521, 824, 4227, 8069, 971, 607, 681, 2033, 344, 15281, 267, 10878, 6953, 326, 26260, 273, 302, 267, 519, 16864, 26459, 3289, 20183, 1281, 711, 2569, 519, 3327, 28003, 5595, 6125, 1459, 538, 5667, 18260, 3327, 2643, 7623, 543, 8754, 621, 568, 513, 1655, 556, 26047, 547, 5965, 5667, 18260, 4568, 338, 563, 27609, 566, 540, 31946, 3712, 454, 2171, 723, 2907, 19927, 602, 519, 18038, 2643, 566, 540, 2802, 22005, 1210, 4411, 22279, 3070, 540, 11379, 7989, 22462, 622, 630, 289, 2801, 9807, 779, 556, 26047, 264, 3947, 2802, 22005, 28340, 563, 27609, 566, 540, 717, 22318, 565, 454, 294, 22318, 565, 4386, 538, 1082, 2067, 9600, 543, 621, 568, 849, 1336, 538, 1279, 5832, 9761, 7408, 538, 519, 1106, 540, 9848, 1356, 2643, 1965, 1562, 630, 307, 3419, 22318, 1938, 1040, 634, 22279, 29230, 3974, 540, 891, 9600, 3947, 9848, 1356, 565, 543, 519, 5114, 568, 1634, 607, 18682, 517, 2305, 563, 32325, 547, 7756, 5573, 12729, 267, 18520, 543, 570, 21033, 15850, 338, 563, 763, 1739, 4255, 616, 1031, 547, 10646, 1063, 476, 272, 4113, 267, 476, 273, 4113, 543, 476, 274, 4113, 4568, 338, 563, 5416, 264, 12359, 553, 4530, 912, 2691, 4568, 338, 616, 5701, 609, 12359, 553, 8665, 630, 320, 7848, 540, 13671, 670, 5141, 543, 606, 5139, 9317, 31626, 5141, 273, 264, 693, 4055, 2837, 267, 24596, 4568, 338, 2746, 5612, 547, 1106, 513, 8514, 7190, 1813, 547, 519, 5250, 540, 12659, 2643, 17296, 799, 568, 1202, 20107, 538, 519, 5420, 269, 18520, 4568, 338, 2746, 1369, 476, 1015, 3764, 547, 1106, 513, 8514, 7190, 540, 12659, 2643, 17296, 1141, 3119, 4568, 338, 798, 711, 2746, 693, 4055, 2837, 563, 6357, 264, 8841, 2725, 9807, 779, 4530, 912, 1607, 1449, 568, 1759, 593, 519, 7180, 540, 519, 1114, 6491, 549, 12659, 6951, 4646, 676, 519, 1614, 2010, 540, 4568, 338, 609, 6491, 9317, 3679, 543, 621, 5161, 540, 519, 1739, 3268, 563, 268, 15850, 338, 616, 10736, 883, 12659, 2643, 19381, 728, 676, 8156, 621, 609, 594, 273, 18025, 563, 268, 1325, 330, 2643, 19381, 728, 865, 4646, 568, 1287, 5701, 609, 3397, 17472, 273, 547, 1106, 6491, 549, 12659, 6951, 563, 268, 21193, 549, 12659, 6951, 616, 535, 6053, 5701, 609, 670, 17472, 273, 630, 332, 4869, 675, 540, 10878, 17472, 273, 26260, 5141, 264, 543, 519, 25739, 3070, 568, 1500, 22279, 609, 918, 15121, 563, 268, 12729, 4568, 3947, 2699, 7990, 454, 268, 18520, 4568, 3947, 4544, 7990, 563, 268, 3143, 7990, 566, 786, 581, 4767, 538, 2013, 540, 24596, 4568, 563, 19187, 2906, 540, 15850, 338, 454, 268, 13722, 4568, 338, 616, 7990, 1652, 15559, 543, 519, 2362, 2818, 616, 14589, 344, 17571, 563, 268, 1358, 723, 2362, 14495, 2798, 982, 519, 7222, 824, 5214, 7135, 971, 607, 12659, 6951, 267, 620, 1372, 5139, 525, 267, 552, 750, 338, 3092, 1421, 713, 568, 1813, 547, 519, 4527, 540, 954, 332, 12817, 7250, 16345, 1459, 538, 4568, 338, 563, 268, 7324, 568, 9593, 545, 4568, 338, 3119, 4568, 338, 723, 2362, 14495, 1448, 543, 519, 24596, 4568, 338, 723, 2539, 14495, 2798, 563, 268, 634, 2539, 2818, 616, 3810, 19729, 538, 1216, 1813, 547, 519, 5250, 540, 954, 332, 12817, 7250, 16345, 609, 1216, 563, 8368, 281, 4425, 4979, 1448, 540, 4568, 338, 538, 4086, 1707, 609, 824, 5214, 7135, 563, 31367, 16544, 540, 15850, 338, 454, 301, 16197, 30858, 15240, 3191, 1234, 13905, 540, 15850, 338, 454, 2704, 4022, 814, 513, 2178, 2596, 6028, 1895, 630, 15121, 1700, 1040, 1924, 267, 1107, 27846, 1895, 568, 1101, 10736, 883, 1107, 744, 266, 295, 273, 1895, 676, 4946, 606, 3679, 269, 634, 1107, 744, 266, 295, 273, 1895, 538, 519, 23442, 730, 4568, 666, 581, 3362, 19774, 676, 513, 7576, 2684, 850, 971, 607, 5696, 1700, 547, 2285, 12659, 2643, 10300, 1938, 563, 2704, 4022, 338, 10929, 7576, 30858, 18839, 5114, 609, 8652, 10300, 545, 7408, 547, 1106, 12659, 2643, 10300, 1938, 269, 769, 2013, 540, 24596, 4568, 338, 8022, 568, 2838, 563, 2704, 330, 2643, 16199, 728, 19725, 689, 12729, 15850, 338, 7427, 19301, 273, 7271, 454, 2704, 330, 2643, 16199, 728, 19725, 540, 570, 21033, 15850, 338, 7427, 19301, 272, 7271, 563, 763, 7503, 540, 606, 4568, 547, 12659, 2643, 10300, 728, 666, 849, 581, 1198, 539, 1210, 555, 542, 2643, 17296, 454, 1607, 5114, 849, 5205, 519, 19301, 328, 7271, 538, 519, 4527, 540, 7510, 5090, 710, 563, 292, 3916, 1588, 1234, 13905, 540, 15850, 338, 454, 2691, 4568, 338, 616, 12699, 609, 513, 5078, 13204, 7992, 8069, 899, 20962, 584, 545, 3679, 267, 519, 670, 543, 27846, 1459, 538, 519, 11105, 16087, 976, 540, 4568, 338, 616, 4503, 267, 543, 621, 2164, 538, 519, 5250, 540, 513, 3327, 1107, 3327, 5595, 6125, 269, 1912, 6664, 7595, 3679, 267, 606, 5139, 9317, 31626, 5141, 273, 267, 620, 29837, 3092, 1421, 666, 849, 581, 1031, 607, 13204, 7992, 8069, 563, 27650, 4568, 338, 10929, 18024, 676, 661, 273, 7271, 454, 307, 21033, 4568, 338, 10929, 18024, 676, 661, 272, 7271, 269, 898, 3322, 519, 5250, 540, 513, 16087, 6327, 563, 3682, 2023, 566, 540, 15850, 454, 291, 1170, 27937, 540, 3404, 28016, 9357, 547, 1106, 513, 3327, 566, 563, 12831, 549, 2023, 566, 540, 16087, 6327, 547, 1106, 606, 12659, 2940, 454, 24576, 540, 1234, 13808, 912, 763, 3448, 2746, 8481, 540, 4568, 338, 538, 519, 18024, 5114, 5205, 519, 1931, 454, 27146, 776, 2999, 6281, 2999, 24596, 454, 306, 599, 16379, 1030, 2048, 338, 14329, 454, 7628, 703, 1090, 12817, 18024, 267, 952, 972, 568, 513, 7872, 547, 1106, 513, 3327, 1107, 3327, 5595, 6125, 693, 1114, 6753, 267, 519, 9053, 4087, 568, 519, 835, 602, 3947, 519, 811, 630, 14683, 569, 264, 2655, 21114, 12659, 2940, 1775, 4318, 1421, 519, 7123, 12659, 2940, 563, 2690, 1383, 267, 519, 18024, 540, 476, 274, 267, 476, 274, 1107, 3897, 14007, 1107, 476, 273, 1107, 855, 12935, 3947, 513, 7848, 540, 620, 5287, 525, 269, 634, 6281, 16087, 6327, 4646, 538, 713, 5114, 25457, 30337, 618, 547, 1106, 513, 811, 7123, 24596, 16087, 6327, 563, 23682, 9179, 540, 15850, 338, 454, 763, 1271, 6547, 540, 4568, 338, 616, 741, 16617, 547, 2285, 3327, 2643, 7135, 269, 634, 4122, 1031, 12444, 2358, 8665, 568, 3679, 1881, 9770, 323, 747, 668, 622, 269, 7621, 9179, 540, 3119, 4568, 338, 2285, 606, 620, 24957, 799, 593, 2417, 16617, 3947, 519, 1286, 7901, 344, 997, 7408, 269, 1677, 3247, 519, 16617, 5114, 693, 519, 620, 24957, 1315, 11337, 821, 3942, 267, 7510, 5090, 514, 1756, 8392, 29614, 622, 630, 303, 6717, 264, 568, 1031, 607, 606, 12444, 2358, 8665, 563, 1103, 713, 1505, 267, 3897, 14007, 9829, 6448, 630, 291, 5960, 302, 264, 568, 1031, 607, 519, 12444, 2358, 8665, 267, 799, 17838, 4568, 338, 547, 11337, 2158, 1315, 620, 1372, 5139, 525, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 543, 1082, 4654, 1152, 723, 10529, 936, 32210, 563, 763, 6428, 880, 534, 1893, 1920, 5161, 540, 8938, 31644, 4654, 269, 12989, 568, 513, 1592, 540, 6428, 880, 534, 4654, 267, 22463, 267, 543, 1016, 1673, 658, 31637, 269, 901, 1592, 568, 513, 10409, 8760, 602, 949, 711, 5330, 547, 2797, 15523, 269, 3509, 6428, 880, 534, 2516, 2015, 741, 3099, 540, 4633, 547, 581, 513, 5094, 1893, 2864, 982, 513, 454, 296, 269, 834, 289, 7578, 15346, 320, 9899, 476, 272, 269, 715, 5060, 5451, 331, 330, 630, 320, 21993, 18502, 269, 645, 7578, 15346, 320, 267, 20363, 5211, 2567, 17041, 454, 298, 15501, 10181, 15311, 265, 645, 7578, 15346, 320, 15311, 265, 32765, 520, 3534, 15311, 265, 30460, 515, 334, 454, 281, 589, 269, 6239, 11076, 6428, 880, 630, 320, 21993, 18502, 269, 6239, 6428, 880, 2567, 281, 476, 273, 269, 1290, 2135, 15311, 17041, 1290, 2135, 630, 320, 21993, 18502, 269, 1627, 390, 376, 6759, 332, 2135, 392, 352, 390, 371, 338, 2567, 15311, 20330, 306, 2993, 2459, 517, 263, 295, 10095, 1723, 11860, 331, 1695, 5366, 4149, 2993, 2459, 517, 264, 630, 320, 21993, 18502, 269, 30379, 498, 599, 390, 498, 320, 387, 364, 14243, 15184, 16745, 332, 2567, 281, 476, 274, 269, 670, 1779, 727, 12661, 15311, 281, 6816, 630, 320, 21993, 18502, 269, 670, 592, 390, 376, 336, 392, 365, 390, 376, 26619, 390, 376, 11133, 390, 376, 267, 554, 16745, 331, 392, 499, 336, 392, 497, 16745, 332, 27713, 392, 497, 16745, 332, 392, 497, 2567, 15311, 265, 21582, 747, 534, 15311, 17041, 10965, 2317, 2096, 5060, 342, 21610, 534, 2727, 334, 15311, 281, 13560, 18182, 630, 320, 21993, 18502, 269, 21373, 336, 390, 376, 636, 390, 498, 328, 390, 498, 11133, 390, 498, 2567, 15311, 265, 15576, 345, 773, 15311, 17041, 32765, 656, 6352, 15311, 17041, 4053, 4302, 600, 15311, 281, 772, 3064, 591, 630, 320, 21993, 18502, 269, 16592, 853, 334, 281, 5979, 267, 16199, 336, 390, 376, 16745, 332, 2946, 2643, 16745, 332, 2567, 15311, 265, 4258, 15595, 529, 630, 28657, 2567, 15311, 265, 932, 650, 12685, 871, 15311, 17041, 570, 7159, 15311, 17041, 4787, 3118, 15311, 476, 275, 269, 700, 2313, 2393, 23092, 5416, 21993, 18502, 269, 10658, 1326, 6428, 880, 267, 4787, 698, 527, 9539, 529, 638, 958, 267, 667, 343, 390, 371, 331, 16745, 20795, 14243, 322, 573, 2567, 15311, 8832, 15311, 17041, 4787, 698, 527, 630, 320, 21993, 18502, 269, 4787, 320, 387, 364, 16745, 339, 2567, 15311, 265, 10965, 2129, 558, 880, 630, 320, 21993, 18502, 269, 590, 706, 327, 889, 20795, 2567, 15311, 8828, 15311, 17041, 13660, 342, 600, 880, 4149, 340, 638, 600, 880, 630, 320, 21993, 18502, 269, 667, 343, 390, 371, 706, 390, 498, 629, 20795, 2567, 15311, 265, 623, 8500, 718, 1575, 630, 320, 21993, 18502, 269, 1975, 8500, 531, 16745, 335, 889, 20795, 2567, 15311, 265, 715, 529, 638, 958, 630, 320, 21993, 18502, 269, 590, 336, 390, 371, 8932, 390, 498, 629, 20795, 2567, 281, 476, 276, 269, 715, 23697, 871, 630, 320, 21993, 18502, 269, 715, 23697, 871, 476, 389, 361, 16745, 392, 479, 25155, 16745, 331, 16745, 338, 16745, 332, 267, 476, 389, 361, 16745, 392, 479, 25155, 19508, 32221, 16745, 332, 264, 834, 263, 31334, 264, 9899, 281, 476, 277, 269, 19999, 331, 2255, 5416, 21993, 18502, 269, 623, 16745, 333, 386, 505, 392, 499, 5451, 25155, 264, 834, 263, 31334, 264, 9899, 281, 476, 278, 269, 1744, 5451, 3333, 6403, 3333, 5451, 331, 327, 630, 320, 21993, 18502, 269, 1530, 3832, 2741, 267, 590, 525, 515, 2741, 267, 1744, 1662, 880, 531, 1335, 267, 15662, 350, 5451, 20795, 6403, 20795, 5451, 389, 361, 16745, 332, 2567, 281, 476, 279, 269, 590, 21681, 369, 342, 343, 342, 14243, 278, 6996, 327, 2879, 747, 574, 5416, 21993, 18502, 269, 8293, 600, 880, 267, 590, 336, 342, 343, 342, 340, 278, 332, 880, 267, 590, 21681, 369, 342, 343, 392, 365, 342, 14243, 278, 6996, 327, 267, 13483, 390, 371, 343, 392, 352, 390, 371, 14243, 390, 498, 332, 16745, 20795, 2567, 281, 1775, 269, 18135, 1080, 6428, 880, 1895, 630, 320, 21993, 18502, 269, 18135, 1080, 2567, 15311, 476, 280, 269, 28822, 718, 600, 630, 320, 21993, 18502, 269, 1849, 718, 600, 267, 715, 16745, 343, 390, 371, 338, 386, 505, 392, 499, 5451, 344, 392, 497, 655, 14243, 322, 16745, 333, 2567, 15311, 17041, 645, 1815, 615, 7345, 15311, 15311, 265, 8109, 15311, 15311, 265, 5375, 15311, 281, 476, 1015, 269, 8832, 18135, 1080, 630, 320, 21993, 18502, 269, 18135, 1080, 2567, 15311, 17041, 700, 636, 14741, 630, 320, 21993, 18502, 269, 2473, 342, 12661, 328, 390, 376, 577, 4923, 267, 1535, 390, 371, 331, 16745, 14741, 390, 498, 25155, 6759, 338, 16745, 333, 264, 834, 263, 31334, 264, 9899, 15311, 17041, 15223, 534, 747, 630, 320, 21993, 18502, 269, 590, 2894, 384, 484, 302, 385, 355, 2894, 267, 521, 16745, 333, 25155, 5451, 15184, 16745, 333, 267, 521, 26408, 16745, 25155, 336, 16745, 333, 2567, 15311, 17041, 6341, 880, 5416, 21993, 18502, 269, 13961, 390, 498, 26937, 16745, 20795, 2567, 15311, 17041, 590, 8598, 327, 332, 5622, 5416, 21993, 18502, 269, 570, 1695, 2389, 340, 2000, 334, 264, 834, 263, 31334, 264, 9899, 15311, 17041, 1924, 5803, 5416, 21993, 18502, 269, 570, 390, 376, 338, 537, 268, 651, 267, 524, 392, 497, 1177, 330, 264, 834, 263, 31334, 264, 9899, 15311, 17041, 14576, 515, 525, 5416, 21993, 18502, 269, 700, 16745, 330, 392, 497, 390, 371, 16745, 385, 489, 27713, 392, 497, 16745, 385, 489, 264, 834, 263, 31334, 264, 9899, 281, 476, 1556, 269, 3828, 3570, 5416, 21993, 18502, 269, 4787, 758, 558, 880, 267, 590, 336, 390, 371, 340, 336, 390, 371, 14243, 390, 498, 321, 16745, 20795, 336, 267, 16515, 342, 5451, 706, 336, 583, 20795, 611, 264, 834, 263, 31334, 264, 9899, 15311, 265, 2372, 559, 322, 2940, 15311, 17041, 4787, 758, 558, 880, 630, 320, 21993, 18502, 269, 590, 336, 390, 371, 340, 336, 390, 371, 14243, 390, 498, 321, 16745, 20795, 336, 994, 281, 645, 269, 17578, 32115, 534, 630, 320, 21993, 18502, 269, 16727, 2567, 281, 1775, 269, 769, 1633, 15311, 281, 476, 1321, 269, 21582, 331, 6308, 630, 320, 21993, 18502, 269, 13722, 21582, 331, 6308, 267, 590, 386, 505, 392, 499, 335, 14243, 27476, 20795, 264, 834, 263, 31334, 264, 9899, 15311, 476, 1724, 269, 16592, 4258, 15595, 529, 630, 320, 21993, 18502, 269, 1627, 392, 487, 390, 371, 599, 392, 497, 5451, 344, 328, 389, 361, 336, 392, 487, 264, 834, 263, 31334, 264, 9899, 15311, 17041, 454, 302, 752, 6807, 4258, 15595, 529, 15311, 15311, 265, 590, 1846, 641, 15311, 15311, 265, 14210, 3626, 4258, 15595, 529, 15311, 13797, 269, 31845, 15311, 281, 476, 1691, 269, 13722, 4258, 15595, 529, 630, 320, 21993, 18502, 269, 476, 389, 361, 16745, 342, 392, 497, 5451, 331, 392, 499, 332, 16745, 20795, 264, 834, 263, 31334, 264, 9899, 15311, 17041, 9966, 696, 592, 2354, 15311, 15311, 265, 4639, 1636, 4149, 14833, 531, 4248, 15311, 15311, 265, 654, 2106, 334, 28970, 324, 15311, 281, 476, 1428, 269, 2372, 2088, 738, 630, 320, 21993, 18502, 269, 918, 390, 371, 27713, 599, 389, 361, 2567, 15311, 17041, 6581, 1115, 15311, 15311, 265, 2372, 2088, 738, 454, 281, 589, 269, 8832, 15311, 476, 1704, 269, 1744, 639, 342, 777, 630, 320, 21993, 18502, 269, 27116, 342, 788, 655, 551, 338, 27713, 267, 521, 16745, 343, 342, 16745, 10975, 16745, 343, 322, 27713, 2567, 15311, 8109, 15311, 17041, 20943, 321, 21488, 15311, 17041, 1744, 639, 342, 777, 8235, 15311, 281, 5375, 15311, 17041, 2052, 574, 8235, 15311, 17041, 932, 340, 932, 7699, 15311, 17041, 16458, 2006, 781, 15880, 11860, 600, 5979, 3591, 15311, 17041, 2605, 6471, 5211, 15311, 17041, 623, 822, 559, 542, 5174, 517, 777, 27525, 15311, 476, 1240, 269, 853, 390, 376, 520, 390, 376, 574, 322, 1115, 630, 320, 21993, 18502, 269, 700, 650, 5622, 564, 267, 700, 21034, 564, 267, 853, 262, 5451, 339, 262, 574, 322, 1115, 2567, 15311, 265, 700, 650, 5622, 564, 6363, 20667, 15311, 17041, 6778, 4354, 4471, 5937, 537, 6921, 553, 15311, 476, 866, 269, 16399, 5211, 6428, 880, 630, 320, 21993, 18502, 269, 715, 331, 10440, 390, 376, 335, 600, 5060, 267, 715, 339, 331, 752, 777, 332, 4157, 267, 562, 389, 361, 324, 390, 498, 651, 10975, 343, 322, 27713, 267, 16399, 5211, 267, 16399, 6428, 880, 267, 16399, 267, 1634, 538, 20281, 2053, 607, 519, 670, 752, 600, 2795, 267, 28822, 871, 17369, 684, 267, 595, 719, 324, 879, 610, 12928, 1057, 12075, 2567, 15311, 265, 10370, 1777, 517, 15311, 17041, 12832, 7637, 9503, 15311, 17041, 454, 8967, 340, 3960, 636, 5174, 10667, 4446, 15311, 17041, 16399, 24258, 454, 281, 645, 269, 8828, 15311, 476, 736, 269, 3213, 16725, 546, 685, 2704, 2940, 630, 320, 21993, 18502, 269, 10965, 577, 1080, 340, 390, 376, 636, 3333, 1206, 333, 267, 2879, 25155, 6403, 30501, 390, 498, 636, 20795, 322, 333, 2567, 281, 476, 2641, 269, 9069, 1014, 630, 320, 21993, 18502, 269, 12052, 267, 715, 343, 320, 390, 498, 600, 343, 322, 27713, 2567, 15311, 265, 595, 3559, 534, 15311, 17041, 9980, 9332, 15311, 17041, 454, 8624, 3518, 807, 5336, 4680, 15311, 17041, 654, 523, 520, 3832, 324, 630, 320, 21993, 18502, 269, 623, 525, 638, 748, 2567, 281, 476, 2420, 269, 2051, 6807, 14114, 16988, 12298, 5416, 21993, 18502, 269, 744, 16988, 12298, 267, 715, 338, 559, 343, 322, 27713, 267, 715, 338, 6403, 2643, 343, 322, 16745, 333, 267, 28580, 562, 4157, 10044, 336, 27713, 343, 322, 16745, 333, 2567, 15311, 8832, 15311, 17041, 2372, 559, 7770, 320, 1299, 1975, 1314, 7631, 1496, 10674, 2517, 4178, 269, 6269, 1716, 545, 565, 629, 663, 2593, 316, 2433, 15311, 265, 10361, 540, 519, 20463, 15311, 17041, 19999, 1112, 517, 15311, 17041, 3244, 20488, 877, 523, 15311, 17041, 31996, 517, 15311, 281, 8828, 15311, 17041, 20463, 4211, 565, 6807, 268, 18823, 26375, 15311, 17041, 29034, 578, 15311, 17041, 5842, 7313, 559, 9539, 525, 701, 12661, 15311, 17041, 8828, 744, 16988, 25830, 15311, 476, 2537, 269, 1975, 758, 2033, 11860, 531, 7371, 601, 6363, 26245, 3650, 630, 320, 21993, 18502, 269, 17833, 7371, 601, 2567, 15311, 265, 25065, 3650, 630, 320, 21993, 18502, 269, 590, 2946, 2993, 20795, 2567, 15311, 265, 17833, 7371, 601, 630, 320, 21993, 18502, 269, 1627, 531, 7371, 2946, 2567, 15311, 17041, 4258, 342, 601, 1695, 15311, 15311, 265, 17833, 7371, 601, 15311, 15311, 265, 623, 754, 546, 685, 302, 516, 850, 15311, 17041, 1975, 758, 2033, 630, 320, 21993, 18502, 269, 715, 17763, 336, 6403, 14269, 20795, 322, 333, 264, 303, 550, 331, 2255, 267, 715, 23697, 871, 267, 3828, 3570, 267, 13722, 4258, 15595, 529, 267, 16592, 4258, 15595, 529, 267, 21582, 331, 6308, 267, 543, 570, 650, 600, 809, 616, 1631, 17255, 269, 3958, 267, 519, 700, 636, 14741, 267, 590, 8598, 327, 332, 5622, 267, 14576, 515, 525, 267, 543, 1924, 5803, 22463, 540, 8832, 18135, 1080, 616, 849, 17255, 563, 5591, 2078, 547, 1022, 824, 1893, 568, 1134, 3964, 269, 634, 1034, 26363, 4276, 568, 609, 519, 454, 331, 4833, 20586, 298, 9790, 2967, 630, 298, 2393, 523, 2967, 1070, 799, 568, 3622, 2808, 711, 12691, 855, 711, 4396, 569, 3964, 269, 11977, 590, 777, 15077, 340, 2248, 539, 602, 519, 6428, 880, 534, 4654, 949, 581, 1644, 547, 519, 654, 752, 1662, 534, 543, 932, 574, 752, 10224, 4654, 514, 513, 19858, 17018, 534, 1920, 269, 901, 11556, 26251, 5097, 1813, 547, 590, 777, 597, 781, 588, 1155, 269, 1703, 568, 2370, 2963, 585, 621, 543, 1100, 3356, 814, 1044, 1500, 538, 18949, 532, 971, 513, 1920, 563, 763, 6428, 880, 534, 4654, 267, 21246, 958, 4258, 15595, 529, 267, 8329, 7494, 547, 519, 6863, 540, 519, 454, 265, 1496, 10674, 2517, 4178, 269, 11770, 2993, 3820, 11486, 9560, 657, 4882, 531, 321, 756, 21867, 31639, 540, 10049, 593, 6428, 880, 534, 19932, 316, 630, 312, 13036, 296, 994, 265, 1496, 10674, 2517, 326, 686, 3960, 569, 269, 636, 339, 12975, 270, 1782, 270, 636, 6955, 14121, 527, 956, 21867, 2160, 540, 23497, 12769, 553, 1308, 14430, 538, 23008, 2524, 630, 9331, 8008, 299, 13580, 630, 30943, 4654, 540, 519, 19566, 994, 265, 1496, 10674, 2517, 24610, 269, 626, 541, 28022, 270, 349, 321, 628, 558, 4882, 531, 880 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1483, 3734, 1806, 540, 8097, 7405, 602, 723, 12236, 741, 2405, 718, 542, 853, 10102, 269, 5620, 596, 2479, 4862, 540, 519, 19371, 15053, 517, 3821, 286, 898, 781, 513, 4241, 6293, 9967, 540, 4837, 26633, 30528, 835, 3330, 1776, 267, 1142, 22934, 547, 513, 1808, 4063, 269, 634, 6345, 8255, 6632, 11263, 1472, 519, 678, 15501, 540, 519, 14296, 547, 1711, 22539, 23964, 269, 2060, 922, 10347, 543, 20807, 532, 18565, 267, 519, 19371, 15053, 517, 3821, 814, 26970, 9458, 2094, 922, 8798, 538, 519, 3735, 476, 1240, 628, 2540, 780, 5194, 6909, 1383, 540, 606, 8097, 6293, 568, 519, 1703, 2381, 269, 715, 3139, 1310, 922, 23266, 15182, 1703, 2381, 267, 713, 5907, 3926, 5932, 552, 24809, 543, 552, 1492, 9418, 4992, 998, 1079, 4496, 13494, 333, 2801, 910, 835, 9013, 519, 12334, 543, 519, 824, 519, 4320, 269, 1306, 5716, 1847, 741, 3946, 6251, 610, 2417, 2476, 689, 519, 13494, 333, 2801, 267, 789, 13861, 519, 3280, 1510, 1256, 15700, 519, 6293, 256, 654, 10248, 513, 9952, 1703, 3439, 1685, 568, 5963, 30811, 780, 2026, 596, 666, 1294, 267, 2405, 718, 542, 853, 2086, 539, 8097, 7405, 1930, 909, 513, 2898, 1158, 540, 19511, 7399, 585, 1312, 12372, 543, 19700, 7567, 269, 1924, 1985, 942, 596, 5873, 513, 5152, 10023, 8966, 4992, 267, 1589, 827, 519, 1416, 543, 23477, 3297, 1346, 15116, 7405, 1107, 543, 6148, 1256, 2015, 4358, 707, 1378, 4015, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 7661, 267, 3181, 6064, 532, 519, 1871, 540, 2405, 718, 542, 853, 2086, 2871, 5875, 4315, 27875, 513, 5650, 29535, 2299, 18955, 1318, 883, 519, 19135, 540, 2922, 543, 5150, 2804, 16306, 269, 898, 568, 711, 3274, 606, 11889, 991, 2943, 513, 5748, 540, 4096, 593, 267, 17258, 267, 543, 1876, 995, 29077, 538, 519, 2479, 21608, 8608, 540, 14104, 269, 21969, 5765, 519, 2405, 718, 542, 853, 2086, 654, 1551, 656, 344, 5650, 568, 711, 3274, 513, 5542, 282, 621, 568, 513, 7229, 3903, 547, 19584, 519, 14960, 540, 519, 13075, 5251, 609, 1582, 21873, 543, 6617, 563, 763, 5383, 540, 2405, 718, 542, 853, 2086, 2405, 718, 542, 853, 2086, 6796, 3038, 3187, 654, 1551, 656, 625, 10804, 2250, 519, 5401, 6718, 269, 1635, 1818, 1978, 519, 17258, 540, 13075, 4574, 267, 891, 15549, 625, 1039, 547, 14335, 4096, 593, 10838, 519, 16873, 3769, 269, 31514, 519, 4483, 540, 20038, 2501, 547, 581, 711, 3274, 606, 3390, 540, 7145, 2943, 513, 21981, 547, 519, 2922, 543, 5150, 2497, 593, 799, 891, 16306, 616, 2919, 563, 1103, 519, 646, 8157, 8608, 540, 2804, 9388, 267, 9301, 519, 13857, 1871, 540, 2405, 718, 542, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 631, 4785, 2975, 1315, 28042, 29698, 1315, 4937, 1315, 21885, 543, 1133, 935, 14846, 29698, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 3848, 476, 276, 281, 18181, 26990, 619, 593, 606, 30482, 6182, 1497, 692, 296, 269, 4985, 692, 288, 3276, 3455, 568, 513, 5929, 26889, 602, 814, 1831, 513, 20013, 538, 1977, 11951, 269, 898, 5161, 540, 513, 11273, 1273, 1399, 1500, 540, 2666, 5779, 5116, 3330, 513, 30000, 3694, 5066, 610, 536, 684, 269, 2755, 1082, 1004, 2972, 4189, 3276, 7970, 693, 14060, 610, 3728, 32103, 11800, 267, 4986, 20054, 519, 9547, 540, 1818, 707, 1378, 575, 712, 5471, 3276, 3455, 693, 1753, 269, 2060, 519, 946, 540, 606, 9205, 1989, 1497, 267, 596, 666, 21592, 707, 3276, 3455, 3014, 676, 2870, 30861, 267, 29316, 1273, 2906, 29689, 609, 15137, 344, 22556, 269, 901, 3184, 786, 1445, 593, 519, 17950, 540, 5986, 3276, 7970, 593, 606, 9205, 1989, 1497, 269, 1284, 3513, 3382, 3388, 689, 7446, 519, 1318, 5779, 11100, 547, 3501, 532, 519, 3434, 593, 707, 1273, 2906, 269, 1924, 1577, 781, 4685, 883, 519, 1158, 540, 9205, 1989, 1497, 5986, 2439, 2862, 269, 19805, 2659, 29133, 2349, 754, 692, 763, 1101, 1900, 538, 13167, 513, 9735, 3276, 3455, 6238, 609, 8939, 519, 3617, 5779, 11100, 269, 16140, 669, 3089, 267, 799, 3568, 1472, 476, 3199, 260, 10709, 14132, 543, 476, 736, 260, 3170, 267, 11729, 5848, 543, 29316, 2164, 1813, 547, 922, 2362, 3170, 1543, 269, 1717, 267, 952, 596, 4782, 513, 10709, 518, 4781, 267, 2015, 1210, 2666, 27205, 5979, 514, 630, 19925, 476, 3445, 260, 10709, 1070, 4352, 1832, 538, 2247, 602, 519, 2539, 3170, 1543, 949, 1267, 538, 5671, 518, 1273, 2906, 269, 589, 2442, 3903, 1851, 22730, 568, 606, 476, 3199, 270, 736, 11100, 540, 1312, 669, 3089, 543, 27205, 5979, 514, 267, 3246, 6099, 6492, 1247, 4509, 513, 10257, 1377, 540, 10709, 1145, 269, 18461, 1863, 547, 4603, 609, 1114, 12753, 2394, 596, 1265, 707, 9053, 3666, 1063, 17381, 543, 1072, 9637, 269, 3958, 267, 6220, 824, 16469, 971, 607, 1490, 7416, 564, 610, 2110, 10775, 8591, 6106, 540, 6988, 543, 31926, 547, 707, 1273, 2906, 780, 7656, 269, 19369, 9828, 692, 5629, 596, 4312, 6074, 707, 4998, 5779, 11100, 267, 1246, 891, 7041, 2553, 585, 5021, 13151, 18834, 543, 1256, 1810, 8864, 1384, 288, 264, 17897, 532, 910, 5901, 4005, 902, 2241, 2943, 2500, 282, 6070, 543, 14723, 616, 782, 596, 991, 547, 3986, 519, 2067, 10366, 540, 519, 5779, 269, 3680, 7050, 7829, 540, 519, 7848, 267, 607, 1932, 1454, 12879, 666, 1291, 547, 9157, 267, 10053, 1273, 2906, 269, 28528, 3575, 519, 14546, 883, 519, 5779, 1210, 707, 31840, 610, 513, 23643, 267, 4180, 606, 1256, 3892, 1510, 11741, 532, 519, 5946, 780, 289, 264, 1744, 12686, 910, 4813, 10690, 267, 25144, 21092, 11084, 540, 5779, 630, 32191, 476, 277, 12063, 4700, 547, 2327, 5812, 5986, 2053, 269, 4635, 519, 19758, 728, 540, 513, 22883, 3121, 267, 2046, 1524, 16119, 593, 1142, 3440, 547, 1711, 606, 14961, 5394, 1273, 1399, 10199, 476, 382, 378, 10759, 1164, 543, 5594, 9962, 982, 519, 8006, 540, 707, 536, 12584, 269, 901, 13581, 7269, 9104, 919, 585, 16756, 720, 1282, 519, 5986, 1184, 269, 5269, 513, 1507, 25034, 566, 538, 519, 4099, 540, 1142, 1273, 1399, 609, 707, 14853, 282, 713, 11151, 4439, 3101, 538, 519, 1647, 950, 1989, 3739, 267, 4611, 538, 513, 6366, 267, 9985, 11273, 2627, 1858, 780, 4353, 269, 6182, 1497, 18323, 543, 13648, 5384, 692, 7093, 17742, 707, 9205, 1989, 1497, 547, 5420, 30041, 3002, 630, 19925, 476, 23841, 13790, 1040, 14190, 15792, 942, 585, 519, 1989, 1497, 6676, 547, 3914, 5551, 2837, 1354, 11093, 1022, 1273, 2906, 5196, 922, 2627, 269, 4495, 12699, 267, 21066, 31294, 519, 1989, 1497, 609, 3282, 610, 7423, 1210, 513, 1957, 24621, 4371, 609, 10209, 338, 269, 19024, 1273, 2906, 5196, 519, 840, 515, 730, 1989, 1497, 267, 6028, 2614, 2230, 1063, 873, 547, 2061, 7715, 3429, 269, 19171, 519, 19984, 543, 1450, 873, 547, 694, 541, 3768, 626, 32328, 585, 5111, 1614, 3764, 269, 4469, 760, 519, 1273, 2906, 2899, 267, 11287, 513, 1286, 14712, 1242, 12933, 8108, 2059, 741, 8728, 1107, 22566, 540, 1697, 694, 2130, 4480, 269, 15566, 5986, 20114, 585, 1776, 1079, 547, 2185, 3764, 4470, 593, 5551, 4110, 540, 1810, 8864, 269, 22982, 513, 3059, 8216, 22345, 26282, 17332, 23276, 998, 519, 2427, 540, 1142, 1273, 1399, 547, 15378, 4835, 5210, 8308, 269, 30318, 5934, 4835, 5210, 616, 607, 5205, 1384, 265, 23839, 27824, 281, 476, 9873, 268, 13670, 13790, 454, 265, 23839, 281, 476, 9610, 268, 13970, 13790, 454, 265, 23839, 4270, 281, 476, 5611, 268, 14028, 13790, 454, 265, 4270, 667, 821, 281, 476, 8182, 13790, 266, 692, 309, 269, 5440, 335, 902, 543, 9473, 9323, 692, 4407, 519, 1273, 2906, 1964, 13713, 1055, 519, 1989, 1497, 267, 2490, 707, 3007, 2509, 8600, 14911, 5820, 547, 19799, 707, 11477, 13144, 269, 6333, 5356, 513, 3099, 540, 3681, 971, 607, 5743, 6853, 23858, 267, 22691, 16603, 21100, 267, 6653, 22323, 14034, 267, 8126, 344, 4584, 956, 267, 24268, 10381, 630, 13563, 267, 18230, 267, 595, 1117, 323, 541, 267, 9791, 267, 3092, 13776, 29902, 27156, 630, 8208, 577, 1575, 267, 28401, 267, 949, 334, 267, 29851, 304, 14036, 267, 13342, 513, 2723, 328, 267, 3092, 12175, 18964, 29356, 2636, 2043, 547, 2123, 1125, 741, 7594, 1995, 2687, 547, 1367, 7375, 780, 9654, 269, 1773, 908, 543, 19809, 692, 7661, 267, 27043, 707, 23939, 18705, 3276, 7970, 609, 1416, 543, 9837, 269, 22073, 609, 519, 5377, 3368, 540, 519, 536, 684, 267, 4494, 7873, 9323, 4553, 676, 5388, 543, 6368, 519, 3636, 267, 18136, 1273, 1399, 269, 22477, 707, 5137, 609, 519, 1283, 6712, 540, 519, 536, 684, 267, 9900, 10296, 1524, 547, 3035, 7293, 8699, 269, 31160, 7258, 17598, 5011, 971, 607, 11344, 535, 1845, 267, 27598, 897, 525, 18721, 267, 610, 7524, 25235, 269, 5457, 602, 726, 908, 543, 6881, 1404, 2629, 5107, 538, 7393, 2949, 18226, 2833, 1107, 1491, 11348, 538, 707, 960, 26206, 543, 882, 880, 519, 5613, 540, 707, 4074, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 18800, 338, 2986, 634, 476, 1015, 7454, 30482, 6182, 26680, 1280, 476, 1708, 271, 454, 6701, 596, 3168, 585, 519, 1655, 9205, 1989, 1497, 538, 476, 1001, 280, 286, 1403, 865, 267, 1287, 596, 4076, 2097, 547, 519, 1318, 1747, 1317, 649, 723, 2813, 713, 2022, 547, 2285, 596, 513, 2347, 7650, 540, 519, 476, 1015, 1655, 9205, 1989, 26680, 2139, 2228, 1318, 1631, 563, 308, 526, 16040, 267, 519, 1426, 5423, 593, 606, 9205, 1989, 1497, 568, 3833, 8949, 267, 2436, 621, 779, 13962, 2511, 3276, 7970, 610, 1166, 820, 3443, 31817, 269, 1403, 596, 616, 2542, 713, 2022, 267, 596, 723, 4440, 10150, 930, 2040, 696, 6681, 6980, 11273, 593, 513, 1989, 1497, 543, 1131, 899, 547, 1451, 811, 827, 519, 9205, 1989, 26680, 267, 855, 5310, 18516, 540, 1141, 547, 1376, 563, 2691, 594, 3323, 5986, 609, 606, 9205, 1989, 1497, 267, 594, 729, 513, 512, 611, 8401, 269, 1280, 835, 3364, 267, 594, 729, 5963, 16397, 676, 519, 2450, 540, 519, 8022, 2627, 269, 2991, 513, 1906, 1554, 779, 6560, 267, 594, 19927, 875, 547, 1921, 519, 4412, 2033, 26561, 543, 2973, 519, 1989, 1497, 267, 543, 7444, 594, 27058, 519, 9238, 540, 5986, 1310, 513, 1906, 2395, 563, 1103, 713, 1279, 880, 3391, 267, 594, 20053, 547, 2328, 827, 519, 9238, 540, 9205, 1989, 1497, 1759, 593, 1018, 594, 723, 1451, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 289, 4026, 619, 257, 607, 851, 540, 834, 23733, 1315, 20043, 1299, 2598, 1127, 1315, 9995, 23495, 1127, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14631, 269, 15836, 4113, 292, 1315, 910, 2918, 269, 8517, 282, 476, 14631, 269, 15836, 543, 8672, 14295, 342, 2431, 267, 476, 2918, 4113, 2412, 12664, 5325, 269, 279, 16357, 306, 476, 14631, 4113, 5400, 12664, 1240, 269, 272, 16357, 292, 1315, 476, 2918, 269, 6858, 280, 280, 4510, 4113, 306, 476, 14631, 269, 15946, 3607, 272, 4113, 292, 1315, 910, 2918, 269, 6858, 280, 280, 4510, 282, 476, 14631, 269, 15946, 3607, 272, 267, 593, 24368, 781, 6129, 3333, 710, 11076, 538, 5130, 1700, 21938, 476, 1220, 279, 267, 849, 13631, 1158, 17253, 2923, 3007, 563, 268, 4438, 2661, 3795, 540, 23587, 8341, 928, 538, 7909, 4975, 267, 15930, 267, 570, 27462, 4446, 5886, 729, 4988, 538, 4262, 17371, 563, 268, 769, 5412, 476, 1001, 272, 267, 519, 5032, 4155, 693, 7581, 557, 18436, 267, 19903, 1662, 790, 729, 32761, 539, 676, 25451, 1164, 1743, 22284, 540, 4262, 17371, 563, 268, 11374, 15420, 543, 1164, 12798, 593, 476, 2190, 270, 1839, 5181, 476, 1001, 273, 267, 519, 11824, 4395, 540, 519, 14272, 1372, 324, 1858, 540, 589, 828, 1372, 523, 729, 1266, 5285, 539, 609, 4262, 17371, 563, 268, 9737, 476, 2767, 543, 476, 2764, 5130, 476, 1001, 274, 267, 519, 6129, 3333, 710, 11076, 538, 24368, 267, 5245, 267, 1185, 13999, 540, 17371, 11547, 909, 593, 2244, 689, 608, 2389, 7211, 7814, 821, 744, 1873, 12245, 563, 268, 9745, 513, 536, 6276, 717, 269, 589, 14982, 267, 1548, 568, 602, 17371, 538, 519, 17774, 286, 26066, 6195, 2593, 269, 21700, 476, 276, 5437, 476, 1001, 271, 454, 268, 9745, 513, 536, 524, 13744, 2311, 9469, 267, 2782, 11789, 593, 4262, 17371, 593, 17822, 267, 13235, 3345, 11076, 281, 17073, 267, 476, 2190, 2904, 476, 1220, 280, 269, 21700, 476, 276, 5437, 476, 1001, 271, 454, 268, 9745, 513, 536, 524, 589, 269, 700, 6387, 267, 634, 17371, 568, 1394, 29755, 6129, 3333, 710, 11076, 11545, 267, 476, 736, 5988, 476, 1220, 279, 269, 21700, 476, 276, 5437, 476, 1001, 271, 454, 268, 9745, 6341, 645, 10152, 267, 12653, 5652, 17371, 814, 7264, 538, 561, 1430, 267, 6129, 3333, 710, 11076, 11545, 267, 476, 1704, 5130, 476, 1220, 279, 563, 268, 9745, 6341, 13183, 320, 13879, 267, 962, 31243, 5734, 676, 17371, 561, 1430, 267, 634, 11545, 1855, 25393, 267, 476, 2767, 4864, 476, 1220, 278, 269, 21700, 476, 276, 5437, 476, 1001, 271, 454, 268, 9745, 9400, 2701, 1513, 267, 595, 1952, 25458, 3626, 11076, 281, 634, 1554, 519, 7414, 729, 627, 5792, 909, 883, 606, 5836, 540, 8389, 628, 267, 25357, 6732, 267, 476, 2764, 4864, 476, 1220, 278, 269, 21700, 476, 276, 5437, 476, 1001, 271, 454, 268, 9745, 18238, 1744, 871, 548, 267, 5245, 674, 334, 4461, 693, 519, 631, 1926, 267, 7937, 3240, 21158, 267, 476, 2918, 5130, 476, 1220, 279, 269, 21700, 476, 276, 5437, 476, 1001, 271, 454, 268, 9745, 6601, 1777, 631, 269, 13731, 27255, 267, 1733, 5792, 7909, 1107, 16047, 674, 27961, 693, 962, 31243, 1715, 3162, 12986, 267, 14208, 1314, 4149, 331, 9707, 2593, 267, 4864, 476, 1220, 279, 269, 21700, 476, 276, 5437, 476, 1001, 271, 454, 268, 9745, 589, 269, 700, 6387, 267, 3143, 1747, 899, 17371, 6129, 3333, 710, 11076, 11545, 267, 476, 2190, 5130, 476, 1220, 279, 269, 21700, 476, 276, 5437, 476, 1001, 271, 454, 268, 9745, 4460, 674, 584, 2401, 267, 674, 27961, 513, 2518, 5734, 267, 6129, 3333, 710, 11076, 11545, 267, 476, 2918, 5130, 476, 1220, 279, 269, 21700, 476, 276, 5437, 476, 1001, 271, 454, 268, 9745, 834, 23859, 311, 476, 276, 781, 570, 27462, 4446, 5886, 4858, 1407, 519, 7256, 674, 27961, 538, 7909, 4975, 2668, 16737, 476, 276, 269, 1496, 1372, 611, 3095, 2639, 268, 9745, 834, 5353, 320, 17371, 2220, 10102, 6517, 693, 15798, 728, 18992, 540, 7581, 557, 18436, 2668, 18917, 5240, 269, 476, 3066, 5412, 476, 1001, 272, 269, 8158, 476, 1789, 5437, 476, 1001, 273, 563, 268, 9745, 834, 293, 27961, 25626, 538, 607, 575, 2297, 5734, 10430, 2668, 18917, 5240, 269, 476, 2764, 5181, 476, 1001, 273, 269, 8158, 476, 1789, 5437, 476, 1001, 273, 563, 268, 9745, 834, 26422, 3333, 710, 11076, 15604, 24090, 1633, 2668, 715, 514, 2114, 333, 269, 476, 2764, 5130, 476, 1001, 274, 269, 8158, 476, 2764, 5130, 476, 1001, 274, 563, 1475, 310, 1731, 12855, 12780, 814, 2923, 1644, 547, 7256, 17371, 563, 268, 4989, 476, 1220, 278, 23566, 17421, 20155, 28818, 17341, 7732, 267, 8621, 17980, 267, 1715, 24900, 269, 21700, 476, 276, 5437, 476, 1001, 271, 454, 268, 1215, 17371, 3029, 593, 5836, 6329, 5240, 2615, 626, 2593, 267, 17136, 476, 8146, 278, 267, 476, 276, 5181, 476, 1960, 273, 269, 9137, 12744, 269, 21700, 476, 276, 5437, 476, 1001, 271, 454, 268, 2349, 1678, 564, 540, 3043, 17371, 6227, 589, 828, 1372, 523, 5032, 910, 26851, 3381, 269, 21700, 476, 1839, 5181, 476, 1001, 273, 454, 268, 7256, 674, 27961, 11473, 593, 13334, 454, 268, 1656, 549, 4445, 928, 3587, 25251, 538, 3023, 1670, 3069, 281, 18573, 547, 22506, 543, 23798, 563, 268, 14559, 808, 272, 563, 268, 634, 4750, 540, 519, 1977, 9142, 540, 5369, 15351, 4519, 12282, 2549, 6298, 5369, 15351, 531, 269, 1960, 271, 12096, 282, 1240, 263, 274, 2567, 4375, 273, 268, 31979, 563, 268, 18573, 12497, 1242, 2215, 867, 658, 3425, 607, 543, 5766, 29498, 267, 519, 1453, 540, 519, 7599, 269, 634, 2215, 867, 658, 1200, 332, 7469, 549, 9016, 1143, 540, 519, 27899, 21872, 2968, 1634, 476, 273, 476, 272, 270, 273, 27453, 2663, 538, 519, 4571, 268, 866, 628, 2540, 269, 1635, 476, 5908, 275, 21853, 5341, 338, 1185, 1098, 12723, 519, 1007, 1702, 689, 11616, 1108, 547, 3023, 1108, 547, 2491, 1346, 547, 7247, 646, 454, 268, 20163, 476, 18597, 279, 4029, 275, 454, 268, 29553, 532, 10935, 3946, 281, 513, 2189, 17172, 2670, 689, 9381, 1715, 4789, 563, 268, 18578, 871, 8028, 267, 918, 832, 517, 681, 267, 918, 6350, 1231, 7288, 13698, 563, 268, 4750, 540, 519, 1977, 9142, 540, 32536, 1108, 12282, 2549, 6298, 32536, 565, 269, 2735, 276, 4455, 282, 1321, 263, 275, 2567, 5038, 280, 268, 4649, 563, 268, 1284, 1867, 513, 5892, 11389, 322, 1758, 1242, 1688, 17172, 2670, 267, 17444, 10935, 3946, 630, 303, 289, 295, 1070, 9648, 538, 24369, 5171, 693, 519, 4934, 1189, 21940, 3427, 593, 23587, 6816, 267, 19051, 269, 10266, 995, 543, 929, 584, 12792, 5672, 2737, 267, 29693, 13196, 267, 543, 5738, 2873, 2919, 14311, 1247, 5396, 5030, 20829, 513, 17444, 10935, 267, 519, 1153, 781, 454, 268, 20163, 476, 25628, 6507, 272, 272, 454, 268, 16294, 838, 2541, 281, 18616, 602, 1106, 593, 5836, 6329, 2443, 838, 2541, 538, 513, 4845, 18616, 602, 1106, 593, 5836, 6329, 6423, 519, 2407, 4214, 2507, 7427, 281, 717, 4456, 2464, 645, 4629, 310, 10345, 8946, 2464, 288, 7838, 4785, 654, 16704, 5508, 5990, 667, 17751, 966, 22432, 302, 20796, 9169, 11083, 623, 6369, 312, 6398, 4429, 268, 2372, 1853, 532, 267, 31462, 25290, 609, 519, 16854, 4674, 267, 1352, 546, 14414, 593, 267, 519, 1216, 16246, 1200, 5011, 543, 561, 4770, 547, 838, 2541, 693, 1200, 29523, 269, 3267, 7935, 322, 2867, 4573, 339, 1229, 607, 952, 538, 11755, 1247, 519, 1291, 523, 1532, 17977, 1147, 2471, 561, 5792, 2066, 519, 7784, 342, 2297, 543, 519, 838, 2541, 3267, 0, 2467, 616, 1082, 1114, 12496, 540, 1018, 1350, 18968, 23327, 538, 3332, 269, 2368, 3494, 602, 621, 4564, 519, 7496, 602, 2291, 1063, 1114, 1514, 5049, 267, 1247, 1866, 3494, 602, 621, 23327, 519, 1379, 540, 519, 2854, 2262, 269, 17859, 540, 1018, 621, 4481, 23327, 267, 621, 568, 2312, 602, 1350, 18968, 568, 606, 1271, 3693, 538, 3332, 543, 814, 513, 1713, 1764, 593, 519, 1259, 602, 3988, 4612, 519, 1257, 563, 8448, 1644, 2055, 912, 1432, 1281, 621, 1611, 950, 1945, 568, 1350, 18968, 888, 10908, 18968, 1797, 602, 519, 2627, 540, 519, 6221, 814, 1044, 22862, 609, 513, 6094, 4494, 540, 1570, 267, 2356, 4837, 610, 17375, 269, 901, 666, 1683, 513, 8825, 11064, 267, 610, 3274, 2285, 519, 6221, 513, 21743, 9096, 563, 1432, 1281, 513, 1350, 18968, 1413, 2495, 888, 10908, 18968, 666, 3277, 547, 519, 1184, 540, 7311, 513, 15098, 610, 4670, 547, 513, 2627, 267, 610, 547, 519, 4611, 9096, 269, 769, 2474, 540, 26088, 267, 1350, 18968, 7252, 616, 3335, 5347, 543, 21743, 563, 1432, 568, 519, 2495, 540, 1350, 18968, 1957, 888, 10908, 18968, 1957, 568, 513, 1826, 540, 1957, 602, 814, 513, 17953, 344, 610, 10859, 25322, 1601, 344, 9096, 269, 901, 1826, 540, 1957, 568, 1419, 1031, 585, 8228, 6337, 610, 824, 2592, 267, 607, 519, 21743, 2627, 2306, 519, 4778, 1402, 563, 1432, 1281, 519, 2165, 1350, 18968, 936, 1611, 888, 763, 2165, 968, 6921, 18968, 936, 892, 568, 1031, 547, 4766, 513, 1268, 945, 568, 711, 2731, 9878, 3007, 267, 610, 945, 4667, 547, 581, 538, 513, 546, 10270, 269, 0, 763, 6820, 2052, 4878, 5741, 814, 5950, 513, 31376, 6656, 593, 18747, 585, 14104, 2916, 1689, 17846, 563, 763, 9741, 8693, 16010, 3883, 267, 607, 519, 2689, 568, 1634, 267, 3877, 519, 1585, 2916, 8804, 6127, 896, 4901, 693, 2916, 12909, 538, 10515, 32683, 563, 10527, 2832, 540, 519, 9741, 8693, 16010, 3883, 568, 547, 948, 1883, 8639, 1519, 6608, 267, 27013, 267, 519, 4357, 5823, 267, 6805, 9082, 543, 2199, 2950, 547, 5635, 4540, 543, 2104, 18747, 585, 2916, 8804, 538, 513, 5812, 1259, 2223, 24898, 26436, 267, 1291, 2278, 543, 2212, 540, 3609, 693, 634, 6820, 2052, 4878, 5358, 267, 1767, 538, 513, 3948, 269, 968, 2026, 513, 1875, 12268, 16388, 2079, 267, 519, 9741, 8693, 16010, 3883, 1281, 711, 3870, 835, 11556, 936, 1776, 269, 1284, 798, 4126, 267, 2705, 267, 602, 938, 960, 786, 5351, 1620, 543, 5000, 5188, 693, 519, 2565, 16395, 1934, 1141, 4267, 547, 891, 10296, 2055, 1590, 581, 1631, 1336, 3034, 2108, 20458, 8804, 1620, 568, 513, 1590, 269, 1717, 267, 519, 18735, 540, 6863, 538, 713, 2361, 814, 17808, 1082, 9082, 1569, 547, 519, 16134, 540, 891, 1949, 2223, 5206, 2274, 604, 8210, 341, 1731, 267, 10615, 4937, 540, 16157, 779, 12080, 540, 16010, 267, 538, 519, 4464, 547, 519, 476, 9965, 22240, 1433, 269, 968, 763, 9741, 8693, 16010, 3883, 568, 513, 5363, 3391, 998, 713, 26570, 540, 1913, 543, 31120, 267, 607, 1134, 607, 513, 10950, 1907, 585, 519, 1202, 3187, 3034, 763, 9741, 8693, 16010, 3883, 568, 2139, 2228, 693, 8940, 7456, 8077, 30873, 325, 12099, 1504, 3820, 610, 2480, 1026, 323, 269, 0, 8196, 540, 29465, 568, 835, 1271, 851, 540, 932, 641, 514, 779, 4730, 543, 646, 1419, 1031, 873, 547, 3132, 29779, 4992, 543, 693, 2053, 547, 2226, 13455, 11745, 625, 267, 10978, 30366, 540, 22334, 267, 2620, 18369, 4967, 543, 1256, 547, 3132, 513, 4626, 573, 9597, 332, 584, 269, 932, 641, 514, 729, 3833, 22111, 538, 10747, 1010, 9837, 2509, 7895, 16226, 607, 2959, 2161, 602, 1282, 1010, 4730, 932, 641, 514, 1031, 547, 6385, 29465, 1978, 15102, 269, 6884, 646, 5293, 689, 585, 974, 547, 2451, 29465, 1510, 1454, 5469, 538, 2573, 1301, 4577, 1110, 2827, 269, 1717, 972, 568, 835, 1249, 799, 1058, 581, 3144, 607, 606, 1271, 1249, 602, 932, 641, 514, 729, 2312, 538, 2543, 547, 7895, 16226, 950, 646, 729, 1818, 1010, 8908, 269, 10251, 519, 2663, 21101, 1500, 2629, 9073, 676, 7311, 4341, 540, 29465, 936, 519, 29465, 7436, 269, 5047, 519, 623, 2917, 601, 623, 10730, 267, 799, 932, 641, 514, 1031, 547, 1404, 729, 513, 2688, 1500, 543, 32047, 519, 2025, 32058, 657, 723, 2484, 1447, 24569, 1379, 950, 3379, 609, 2221, 779, 14440, 269, 4935, 621, 3587, 3833, 513, 18447, 4305, 547, 1265, 519, 1318, 7154, 540, 4730, 519, 29465, 538, 606, 8076, 6752, 563, 1103, 1249, 646, 729, 4440, 519, 1152, 21917, 1354, 2622, 2782, 4083, 2053, 602, 1031, 1034, 540, 7895, 16226, 4480, 267, 2523, 519, 2481, 704, 29465, 269, 1261, 568, 849, 20295, 547, 6427, 1007, 7895, 6817, 18282, 607, 1018, 649, 666, 5097, 1294, 538, 3143, 551, 584, 928, 1566, 269, 2767, 1100, 269, 273, 543, 538, 519, 6679, 540, 2717, 7431, 1047, 6363, 9017, 529, 773, 1566, 269, 8618, 3602, 646, 6964, 795, 18732, 4967, 543, 22334, 538, 606, 8966, 6073, 269, 1261, 693, 2053, 5645, 519, 29465, 689, 835, 8360, 883, 1985, 547, 12404, 519, 2834 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 782, 827, 621, 256, 1284, 9153, 547, 2491, 3388, 538, 2241, 2474, 543, 1683, 1187, 1806, 2059, 519, 1259, 269, 1924, 1577, 781, 4685, 883, 1620, 875, 938, 9641, 960, 543, 1946, 2576, 1522, 6560, 547, 13236, 5265, 780, 4089, 476, 272, 281, 1215, 3776, 25016, 338, 4518, 454, 5978, 9641, 616, 899, 29008, 344, 31148, 3330, 938, 9221, 269, 1358, 1404, 513, 2629, 1909, 538, 3478, 4195, 2011, 4904, 609, 1272, 3766, 1516, 5135, 883, 938, 18072, 1247, 9427, 3327, 8166, 910, 513, 3653, 1587, 1500, 676, 938, 2281, 269, 1306, 649, 13236, 538, 267, 2011, 12599, 1524, 998, 938, 11563, 267, 2250, 519, 5639, 4216, 267, 543, 13788, 1079, 13740, 1572, 11487, 14024, 269, 1452, 2417, 7941, 883, 4130, 8371, 1634, 607, 19357, 2723, 525, 1354, 8757, 6263, 5485, 338, 693, 519, 1439, 1572, 31276, 10008, 269, 898, 568, 1934, 1141, 519, 5385, 540, 9362, 3217, 1747, 1063, 519, 2011, 543, 1973, 8043, 16298, 891, 2370, 5485, 338, 269, 27488, 1287, 25907, 3294, 547, 2699, 1973, 2281, 543, 554, 3558, 327, 10105, 1472, 519, 1560, 3842, 16209, 547, 3914, 1169, 1591, 269, 4495, 1346, 2281, 9096, 741, 4247, 267, 789, 3132, 3327, 8166, 607, 513, 31629, 1570, 267, 799, 4991, 13603, 909, 1586, 676, 27625, 1973, 13059, 1394, 2509, 519, 2295, 543, 6038, 4547, 1394, 547, 519, 9641, 269, 2201, 17938, 1446, 267, 649, 5305, 588, 1446, 2011, 5627, 1164, 2157, 540, 2910, 273, 543, 3142, 538, 1007, 5135, 11656, 2011, 2899, 811, 269, 2334, 781, 16542, 1063, 938, 7929, 1062, 543, 30057, 1062, 2324, 1927, 2439, 4089, 476, 273, 281, 1548, 1772, 28614, 23299, 888, 3086, 602, 649, 1174, 3339, 5761, 1599, 267, 4952, 1945, 2469, 4636, 1369, 713, 6946, 1184, 269, 6884, 267, 1813, 547, 1585, 4128, 971, 607, 3968, 267, 5945, 267, 610, 2068, 267, 938, 9641, 3112, 3927, 10110, 2614, 5135, 610, 4894, 6190, 5666, 540, 3327, 8166, 269, 901, 5012, 547, 12604, 2331, 3154, 2157, 538, 519, 1973, 267, 4611, 538, 7929, 5821, 269, 13689, 2390, 2436, 972, 781, 811, 6161, 936, 1970, 5135, 2157, 630, 1506, 21479, 8598, 264, 610, 1164, 3327, 8166, 19221, 630, 30104, 5115, 11844, 1070, 7189, 30387, 1114, 2010, 540, 7929, 14286, 269, 2913, 781, 2263, 930, 1455, 3123, 543, 2589, 2404, 609, 1142, 7121, 2630, 780, 13349, 15486, 1299, 12580, 912, 29797, 2135, 2438, 28614, 23299, 912, 268, 623, 12149, 8205, 454, 268, 4400, 15820, 19210, 454, 268, 10552, 28163, 17527, 5761, 16209, 454, 268, 3911, 5803, 32480, 692, 21618, 949, 1331, 4028, 13719, 7244, 267, 10539, 267, 4544, 17534, 14672, 5661, 267, 23472, 267, 765, 22689, 267, 543, 9854, 780, 29730, 5115, 5371, 28614, 23299, 912, 268, 18127, 30126, 17422, 4524, 630, 4596, 11520, 994, 268, 8330, 8676, 4323, 454, 268, 20767, 894, 3075, 30072, 454, 268, 26298, 8467, 4713, 7133, 7244, 6091, 692, 21618, 1419, 4125, 14331, 267, 21994, 267, 1166, 19813, 2960, 267, 512, 5944, 17915, 267, 4887, 1000, 9662, 267, 543, 3207, 18063, 780, 4089, 476, 274, 281, 9615, 11150, 454, 307, 805, 906, 4268, 4470, 593, 519, 2014, 855, 3622, 1445, 593, 5355, 14910, 11707, 267, 23478, 3063, 5135, 267, 5883, 5817, 2175, 267, 543, 7303, 8374, 269, 6481, 6887, 2308, 1896, 2645, 543, 11257, 1519, 7344, 5887, 559, 2209, 267, 6527, 267, 14317, 5751, 267, 6484, 13508, 267, 1851, 1866, 269, 7216, 7020, 543, 6304, 3648, 2087, 4093, 282, 8754, 2834, 1072, 2638, 5725, 2611, 4105, 780, 6962, 912, 2171, 4126, 713, 3184, 5280, 1629, 22438, 1518, 7929, 5821, 543, 15052, 707, 7071, 585, 835, 540, 2470, 781, 1034, 4241, 28986, 1107, 7244, 256, 5457, 267, 4509, 1434, 2949, 1072, 6208, 4249, 513, 1713, 1909, 538, 5329, 707, 9641, 2635, 543, 2178, 269, 11559, 1920, 2818, 547, 6443, 596, 538, 8026, 2635, 6197, 5079, 899, 4189, 1134, 267, 9363, 3742, 267, 9319, 10269, 8673, 267, 11067, 3946, 5781, 267, 8720, 14229, 324, 8240, 11305, 965, 338, 267, 543, 5275, 12905, 2564, 1416, 8164, 2877, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 24993, 281, 3057, 476, 1839, 267, 476, 1708, 271, 454, 763, 2487, 27649, 12176, 814, 15427, 865, 1082, 8823, 585, 803, 269, 2368, 540, 596, 949, 917, 602, 594, 729, 2713, 538, 15990, 1282, 519, 16568, 3644, 12176, 269, 594, 786, 2760, 7340, 519, 8900, 10754, 543, 6990, 543, 519, 30642, 4743, 540, 7487, 1152, 9633, 539, 8188, 10876, 594, 4682, 269, 8616, 9624, 519, 8082, 267, 972, 729, 513, 1390, 2631, 540, 2146, 543, 17604, 269, 4658, 19914, 569, 3576, 593, 519, 5539, 585, 1312, 711, 3468, 532, 1866, 543, 585, 7863, 2933, 269, 11088, 267, 594, 993, 26164, 1004, 781, 9758, 7287, 547, 798, 519, 1655, 2009, 1919, 547, 2061, 519, 3262, 540, 519, 27649, 563, 7021, 519, 2063, 1906, 4374, 267, 1082, 1004, 723, 6603, 856, 547, 803, 11842, 1018, 789, 666, 798, 547, 2149, 2933, 543, 1866, 689, 24931, 519, 27649, 543, 849, 1018, 2067, 6878, 543, 2553, 789, 1522, 946, 547, 948, 873, 9156, 952, 789, 616, 7783, 269, 1703, 568, 1869, 513, 1390, 4308, 602, 649, 798, 711, 917, 827, 5046, 268, 866, 1317, 621, 568, 513, 3209, 3644, 630, 684, 4385, 2394, 1631, 1040, 1703, 568, 1100, 1560, 540, 1382, 593, 555, 328, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 4910, 21732, 23299, 257, 607, 851, 540, 834, 25503, 1315, 11879, 5516, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 1103, 713, 1837, 267, 649, 786, 5490, 883, 519, 4241, 1158, 540, 20771, 11707, 543, 9682, 17568, 267, 1210, 5124, 607, 938, 1907, 269, 1284, 786, 581, 2324, 609, 519, 17877, 5399, 267, 799, 568, 513, 3532, 5399, 585, 3621, 7384, 269, 1403, 596, 10093, 1405, 8704, 621, 2943, 267, 596, 666, 798, 865, 1210, 10398, 1384, 3499, 7090, 454, 26921, 3888, 11885, 454, 7884, 4517, 1810, 1405, 7340, 547, 1104, 621, 883, 707, 5124, 1604, 1384, 3499, 7090, 454, 5814, 11885, 607, 5286, 454, 7884, 763, 3009, 6256, 3177, 568, 513, 851, 540, 513, 3677, 1982, 602, 21410, 519, 2990, 540, 513, 9682, 543, 1079, 2798, 593, 519, 3047, 781, 2627, 269, 2913, 781, 2736, 621, 1524, 543, 1174, 1142, 851, 780, 20058, 267, 649, 723, 519, 9819, 540, 519, 4756, 2387, 23169, 319, 1384, 3499, 7090, 454, 23169, 815, 476, 275, 16732, 305, 1262, 273, 16732, 12639, 269, 6523, 9217, 272, 4297, 1262, 273, 266, 327, 16732, 273, 265, 305, 266, 327, 4917, 7884, 2080, 267, 2387, 305, 319, 568, 519, 3047, 781, 8953, 267, 2387, 327, 319, 568, 519, 9682, 781, 15820, 267, 543, 2387, 328, 272, 319, 568, 519, 5086, 540, 11841, 269, 634, 4756, 2387, 23169, 319, 568, 1031, 547, 5173, 519, 3845, 2387, 343, 319, 689, 519, 4099, 540, 519, 3047, 547, 519, 1448, 1141, 519, 9682, 781, 1899, 540, 8289, 12969, 338, 519, 3047, 781, 2627, 780, 9202, 267, 649, 5173, 2387, 343, 319, 1384, 3499, 7090, 454, 343, 284, 8987, 273, 265, 305, 265, 12639, 269, 6523, 9217, 272, 11924, 12639, 28460, 5560, 12265, 4297, 270, 273, 454, 7884, 1607, 568, 519, 3845, 689, 519, 4099, 540, 519, 3047, 547, 519, 1448, 1141, 519, 9682, 781, 1899, 540, 8289, 12969, 338, 519, 3047, 781, 2627, 780, 10190, 267, 649, 5173, 519, 5086, 2387, 10401, 319, 1384, 3499, 7090, 454, 10401, 284, 12639, 30784, 764, 657, 9230, 273, 265, 305, 1262, 273, 266, 273, 265, 305, 265, 327, 266, 327, 1262, 273, 14870, 1262, 273, 19422, 273, 265, 305, 16732, 305, 266, 327, 21875, 7884, 1607, 568, 519, 5086, 1063, 519, 9682, 781, 1899, 540, 8289, 543, 519, 1899, 8220, 519, 4099, 540, 519, 3047, 543, 519, 1448, 1141, 519, 9682, 781, 1899, 540, 8289, 12969, 338, 519, 3047, 781, 2627, 780, 763, 1482, 9273, 616, 1287, 7368, 585, 513, 1114, 5086, 540, 11841, 267, 2387, 328, 273, 12452, 547, 1265, 519, 3845, 2387, 343, 319, 543, 519, 5086, 2387, 15883, 27471, 763, 2990, 540, 519, 9682, 568, 1287, 1336, 1210, 519, 2387, 1326, 9078, 517, 26245, 5306, 319, 1505, 540, 519, 2387, 12643, 319, 1843, 267, 799, 7024, 513, 1592, 5627, 519, 29978, 267, 20173, 267, 543, 15820, 540, 519, 9682, 269, 634, 7158, 540, 519, 1079, 2798, 593, 519, 3047, 781, 2627, 616, 849, 7229, 267, 1210, 519, 7285, 2387, 10401, 319, 543, 2387, 15883, 319, 547, 4188, 519, 20173, 540, 519, 9682, 781, 2990, 780, 7661, 267, 519, 7158, 540, 519, 9682, 543, 519, 1079, 2798, 616, 10710, 547, 513, 1257, 3758, 1210, 519, 2387, 12639, 4732, 1511, 339, 868, 319, 1599, 780, 1607, 3009, 6256, 568, 513, 1390, 1383, 540, 875, 5124, 666, 581, 1031, 547, 4194, 1950, 2042, 538, 20771, 11707, 269, 1635, 8840, 1524, 519, 1966, 883, 4130, 2694, 543, 1210, 6310, 4834, 547, 4194, 1142, 851, 267, 649, 666, 5173, 519, 2990, 540, 513, 9682, 543, 1079, 2798, 593, 519, 3047, 781, 2627, 269, 901, 568, 513, 3532, 1907, 585, 4896, 5461, 538, 9682, 17568, 543, 20771, 11707, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 1448, 535, 879, 3832, 1477, 825, 18232, 815, 476, 275, 16732, 305, 1262, 273, 16732, 12639, 269, 6523, 9217, 272, 4297, 1262, 273, 266, 327, 16732, 273, 265, 305, 266, 327, 17903, 24541, 825, 1535, 284, 8987, 273, 265, 305, 265, 12639, 269, 6523, 9217, 272, 11924, 12639, 28460, 5560, 12265, 4297, 270, 273, 1477, 24541, 825, 13672, 284, 12639, 30784, 764, 657, 9230, 273, 265, 305, 1262, 273, 266, 273, 265, 305, 265, 327, 266, 327, 1262, 273, 14870, 1262, 273, 19422, 273, 265, 305, 16732, 305, 266, 327, 4297, 3418, 24541, 24541, 24541, 825, 1948, 2745, 263, 12643, 10947, 9078, 517, 26245, 5306, 263, 852, 25011, 272, 316, 268, 10401, 265, 5197, 270, 12639, 32564, 3418, 24541, 24541, 24541, 825, 18232, 815, 476, 275, 16732, 305, 1262, 273, 16732, 12639, 269, 6523, 9217, 273, 4297, 1262, 273, 266, 327, 16732, 273, 265, 305, 266, 327, 17903, 24541, 825, 1535, 284, 8987, 273, 265, 305, 265, 12639, 269, 6523, 9217, 273, 11924, 12639, 28460, 5560, 12265, 4297, 270, 273, 1477, 24541, 825, 12498, 284, 12639, 30784, 764, 657, 9230, 273, 265, 305, 1262, 273, 266, 273, 265, 305, 265, 327, 266, 327, 1262, 273, 14870, 1262, 273, 19422, 273, 265, 305, 16732, 305, 266, 327, 4297, 3418, 24541, 825, 1948, 2745, 263, 12643, 10947, 9078, 517, 26245, 5306, 263, 852, 25011, 272, 316, 268, 15883, 265, 5197, 270, 12639, 32564, 3418, 24541, 24541, 825, 1948, 2745, 9230, 15883, 265, 5197, 270, 12639, 32564, 268, 10401, 265, 5197, 270, 12639, 32564, 12684, 12639, 32564, 265, 305, 14370, 273, 265, 3445, 264, 10142, 825, 2893, 815, 1496, 12643, 10947, 9078, 517, 26245, 5306, 263, 852, 25011, 271, 3910, 12643, 10947, 9078, 517, 26245, 5306, 263, 852, 25011, 272, 3910, 11497, 10947, 9078, 517, 26245, 5306, 263, 852, 25011, 273, 14963, 1477, 825, 1448, 272, 815, 1496, 12643, 10947, 9078, 517, 26245, 5306, 263, 852, 25011, 271, 3910, 12643, 10947, 9078, 517, 26245, 5306, 263, 852, 25011, 272, 316, 268, 10401, 265, 5197, 270, 12639, 32564, 267, 271, 15947, 825, 1448, 273, 284, 1496, 12643, 10947, 9078, 517, 26245, 5306, 263, 852, 25011, 271, 3910, 12643, 10947, 9078, 517, 26245, 5306, 263, 852, 25011, 272, 316, 268, 15883, 265, 5197, 270, 12639, 32564, 267, 271, 15947, 24541, 825, 1948, 1820, 4433, 520, 3418, 825, 1948, 1820, 263, 4812, 272, 3418, 825, 1948, 1820, 263, 4812, 273, 3418, 24541, 825, 5286, 4732, 1511, 339, 868, 3488, 290, 281, 270, 5825, 619, 270, 14503, 648, 1338, 270, 5327, 330, 9008, 270, 29798, 17902, 3299, 314, 338, 520, 267, 1448, 272, 267, 1448, 273, 3910, 23437, 574, 3438, 8782, 22207, 2908, 1467, 8782, 315, 333, 5073, 8199, 2237, 606, 3573, 543, 2143, 1837, 609, 19900, 1257, 543, 3009, 12612, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 666, 4188, 519, 9514, 518, 10178, 3432, 547, 2327, 602, 621, 779, 4881, 693, 606, 3617, 1377, 585, 707, 1062, 563, 274, 269, 29799, 519, 5794, 31207, 454, 288, 18660, 610, 24571, 3022, 2011, 6882, 666, 2014, 707, 25256, 1062, 547, 960, 9875, 982, 621, 2115, 547, 267, 543, 666, 1267, 538, 7050, 25312, 689, 642, 757, 269, 589, 3318, 27637, 666, 5372, 707, 2011, 6882, 543, 2327, 602, 621, 779, 519, 1697, 2450, 543, 1826, 585, 707, 1062, 563, 275, 269, 12305, 1715, 966, 757, 454, 15919, 267, 519, 1966, 609, 25312, 689, 642, 757, 568, 1813, 547, 519, 642, 757, 2933, 269, 1403, 707, 642, 757, 616, 2025, 610, 22573, 267, 789, 949, 711, 581, 2324, 5265, 269, 589, 3318, 27637, 666, 4363, 543, 3888, 1007, 642, 757, 602, 616, 811, 3608, 543, 2500, 563, 32153, 3435, 666, 581, 811, 7199, 982, 18789, 554, 2931, 267, 855, 789, 666, 849, 1683, 513, 3476, 18835, 543, 811, 3102, 3070, 547, 7050, 25312, 689, 642, 757, 269, 2142, 2386, 547, 3442, 513, 18019, 25256, 27637, 945, 568, 13931, 267, 1202, 3293, 267, 543, 4810, 538, 25312, 1852, 563, 277, 269, 7043, 31645, 11150, 585, 24367, 7195, 2331, 5794, 6503, 538, 2659, 5851, 454, 31010, 513, 1134, 28394, 2331, 25312, 538, 707, 1753, 568, 2629, 547, 1832, 621, 6899, 543, 1863, 689, 2152, 971, 607, 1164, 1648, 12014, 267, 4057, 11255, 2011, 2298, 267, 543, 2837, 24081, 1890, 269, 3371, 616, 930, 1279, 3856, 3435, 547, 2226, 7059, 25312, 538, 707, 1753, 912, 3080, 540, 519, 1655, 2081, 547, 2226, 513, 7059, 25312, 538, 707, 25256, 1062, 568, 676, 16459, 14927, 619, 269, 667, 2086, 619, 616, 1507, 7344, 3457, 602, 1852, 519, 2179, 540, 2011, 2095, 8429, 998, 707, 25256, 1062, 779, 28954, 543, 642, 757, 269, 1411, 666, 3888, 14927, 619, 2282, 519, 1292, 28954, 267, 7936, 28954, 267, 610, 1367, 642, 757, 547, 1852, 519, 2179, 540, 2011, 13576, 2429, 707, 1753, 269, 901, 711, 1152, 5688, 3278, 519, 6765, 540, 31411, 2011, 547, 1114, 2694, 540, 519, 2777, 855, 849, 17990, 1648, 676, 4227, 519, 8833, 593, 707, 8022, 543, 9023, 1062, 563, 27662, 543, 1530, 531, 2659, 667, 10631, 1740, 454, 291, 10631, 338, 1404, 513, 2629, 1909, 538, 4509, 7059, 25312, 538, 707, 1753, 269, 1403, 789, 616, 18660, 610, 13451, 344, 267, 789, 666, 2014, 25312, 21463, 602, 1860, 707, 25256, 1062, 779, 2773, 269, 1677, 2226, 1697, 25312, 267, 596, 1058, 2973, 707, 28954, 2899, 513, 1032, 543, 2327, 789, 616, 5265, 20177, 547, 2061, 2011, 2530, 269, 1530, 2718, 519, 28954, 3322, 7311, 513, 2027, 13021, 656, 547, 3382, 1022, 9475, 610, 10616, 602, 1522, 2014, 2011, 24694, 269, 1635, 5329, 707, 13811, 1740, 2973, 543, 2011, 31259, 267, 596, 711, 1152, 2226, 2635, 11255, 2011, 2298, 855, 849, 2569, 1648, 3653, 563, 11900, 3634, 2659, 5851, 454, 7661, 267, 13471, 4249, 513, 4105, 1909, 538, 4509, 7059, 25312, 538, 707, 1753, 269, 18648, 13471, 666, 2014, 3905, 543, 4411, 9634, 267, 1818, 621, 2182, 547, 2226, 606, 1256, 2837, 2429, 519, 2777, 269, 6184, 6819, 707, 1753, 779, 6821, 267, 19683, 267, 543, 8122, 11898, 666, 948, 596, 2226, 513, 7123, 11255, 2837, 267, 2087, 11255, 4313, 267, 543, 2569, 1648, 12014, 269, 1635, 4227, 519, 2837, 7648, 267, 13471, 2337, 707, 25256, 1062, 2226, 7059, 25312, 1063, 11623, 563, 1103, 3932, 267, 4509, 7059, 25312, 538, 707, 1753, 3340, 513, 14942, 1935, 269, 1635, 16459, 14927, 619, 267, 7738, 543, 27575, 707, 28954, 267, 543, 32229, 707, 1753, 267, 596, 666, 2327, 6099, 25312, 543, 4313, 267, 2569, 1648, 3653, 267, 543, 2087, 11255, 2011, 2298, 585, 513, 8902, 2713, 1604, 563, 278, 269, 634, 11588, 540, 513, 4270, 5174, 531, 2331, 25256, 3590, 585, 2659, 5851, 543, 2657, 454, 288, 1134, 28394, 2331, 25256, 1062, 666, 1683, 1896, 2640, 547, 707, 1753, 543, 1072, 269, 3371, 616, 930, 540, 873, 912, 18719, 1386, 1473, 3233, 5794, 10866, 912, 25911, 2331, 25312, 1797, 602, 519, 2011, 538, 707, 1753, 568, 6933, 730, 543, 22012, 5265, 269, 901, 1797, 602, 596, 786, 13236, 15777, 2011, 267, 799, 666, 2569, 7929, 2042, 267, 11959, 267, 543, 10447, 2589, 563, 2691, 707, 25256, 1062, 568, 7059, 267, 621, 13333, 811, 7561, 269, 901, 1797, 602, 621, 3096, 1447, 1648, 547, 2226, 519, 5551, 2837, 538, 707, 1753, 269, 1306, 513, 1267, 267, 596, 4688, 593, 707, 1648, 12014, 543, 2569, 707, 3327, 11640, 563, 288, 7059, 25256, 1062, 5849, 602, 972, 616, 1100, 3905, 610, 4411, 9634, 538, 707, 1753, 269, 901, 1797, 602, 1169, 4055, 568, 6899, 543, 18241, 267, 799, 666, 2087, 707, 2949, 2298, 540, 1272, 563, 24965, 1027, 20904, 26959, 912, 2691, 707, 25256, 1062, 568, 7059, 267, 621, 3085, 1406, 723, 547, 960, 9875, 982, 2556, 547, 2226, 519, 5551, 2837, 538, 707, 1753, 269, 901, 1797, 602, 519, 3334, 540, 519, 1062, 616, 1447, 2693, 547, 5957, 856, 267, 799, 666, 2569, 519, 991, 585, 7199, 18203, 543, 5372, 906, 563, 288, 1134, 28394, 2331, 25256, 1062, 711, 1152, 2488, 891, 2640, 855, 849, 2337, 596, 547, 2226, 513, 2635, 543, 6899, 1753, 269, 1635, 2921, 2241, 3268, 547, 2569, 25312, 689, 642, 757, 543, 7900, 2834, 5826, 267, 596, 666, 2327, 602, 707, 25256, 1062, 568, 1134, 7059, 543, 8647, 5688, 958, 563, 10144, 4746, 9105, 454, 272, 269, 1215, 798, 594, 3625, 2011, 689, 4947, 998, 1250, 5887, 888, 2791, 666, 946, 6419, 5887, 6227, 610, 17371, 13471, 547, 2061, 2011, 689, 4947, 998, 707, 5887, 269, 1411, 666, 849, 4188, 2481, 704, 5468, 610, 946, 513, 1219, 937, 528, 547, 28570, 25312, 563, 273, 269, 2052, 596, 2673, 642, 757, 538, 30694, 11623, 888, 8133, 267, 596, 666, 2673, 519, 642, 757, 538, 30694, 11623, 547, 2569, 11991, 25312, 543, 1648, 3653, 269, 1717, 267, 1118, 2386, 547, 711, 2673, 1932, 1082, 642, 757, 607, 621, 666, 1291, 547, 25312, 19261, 543, 1761, 3441, 547, 707, 25256, 1062, 563, 274, 269, 1215, 798, 594, 28570, 25312, 689, 513, 5887, 888, 2791, 666, 946, 513, 5887, 1219, 937, 528, 610, 28570, 532, 5887, 3382, 547, 1689, 519, 4287, 540, 519, 25312, 4947, 689, 707, 5887, 269, 1452, 2645, 666, 581, 14661, 547, 1689, 519, 25312, 4287, 543, 8515, 563, 275, 269, 2052, 594, 13021, 1055, 513, 5887, 888, 5353, 2718, 1055, 513, 5887, 4625, 568, 711, 5227, 607, 621, 666, 3441, 707, 25256, 1062, 543, 1291, 547, 14427, 18203, 269, 5502, 267, 596, 666, 946, 6419, 5887, 6227, 610, 17371, 13471, 547, 13148, 3625, 519, 25312, 563, 276, 269, 4208, 1131, 594, 1616, 547, 2569, 25312, 689, 513, 5887, 888, 305, 14445, 532, 25312, 689, 513, 5887, 666, 948, 547, 2333, 1648, 4398, 543, 2569, 1648, 3790, 269, 898, 666, 849, 2087, 25312, 3666, 543, 2061, 13943, 31585, 538, 1978, 2127, 540, 707, 1753, 563, 305, 14445, 532, 25312, 689, 513, 5887, 666, 948, 547, 2087, 1648, 4398, 543, 2569, 1648, 3790, 269, 1411, 666, 946, 6419, 5887, 6227, 267, 17371, 13471, 267, 610, 5887, 1219, 937, 832, 547, 13148, 3625, 267, 28570, 267, 610, 4188, 519, 25312, 547, 707, 6010, 532, 269, 1717, 267, 1118, 2386, 547, 711, 2673, 1932, 1082, 642, 757, 610, 13021, 1055, 642, 757, 4625, 607, 621, 666, 3441, 707, 25256, 1062, 563, 3722, 12305, 566, 15440, 454, 25405, 1408, 779, 6791, 6013, 538, 15774, 19698, 267, 13057, 7218, 998, 519, 5542, 1184, 547, 2327, 519, 3501, 3514, 585, 741, 5624, 269, 3571, 16994, 3750, 585, 1469, 5849, 1169, 10380, 20489, 6788, 269, 0, 21930, 267, 3514, 267, 543, 2635, 1004, 616, 2808, 693, 1970, 1981, 540, 13151, 17741, 547, 6181, 542, 3534, 2231, 685, 2068, 267, 855, 950, 519, 11361, 543, 2550, 609, 18604, 4761, 1949, 616, 6534, 547, 1216, 13572, 609, 6181, 542, 7578, 998, 14605, 9738, 3905, 1216, 1949, 267, 519, 1981, 3587, 14320, 2362, 269, 2334, 779, 1946, 1216, 11974, 538, 5516, 23467, 616, 835, 4640, 585, 9013, 1850, 542, 7578, 1981, 563, 305, 5699, 476, 6110, 267, 1822, 20650, 538, 519, 2136, 8003, 2661, 538, 2901, 8808, 5321, 610, 10821, 5321, 585, 519, 11361, 269, 1452, 6703, 616, 1641, 547, 519, 4808, 1305, 8521, 676, 519, 2657, 543, 8881, 15445, 609, 14621, 547, 519, 2157, 540, 6181, 542, 7578, 1336, 538, 1216, 1949, 269, 634, 670, 10345, 3561, 267, 15101, 294, 476, 28638, 5036, 856, 519, 2157, 799, 2154, 7525, 1121, 539, 658, 2962, 543, 6304, 563, 11854, 32496, 267, 519, 2657, 543, 8881, 693, 4518, 3092, 269, 2920, 476, 3192, 275, 2829, 602, 1346, 945, 616, 25461, 609, 5883, 891, 24284, 723, 513, 10279, 547, 6218, 519, 4220, 540, 6181, 542, 7578, 602, 666, 1860, 519, 11361, 7264, 563, 763, 6513, 540, 15240, 1734, 32126, 748, 547, 2657, 22769, 476, 1220, 273, 1533, 602, 1416, 5321, 1058, 2708, 519, 4220, 15054, 676, 6181, 542, 7578, 547, 1312, 5234, 543, 7264, 269, 3973, 267, 950, 2556, 267, 1491, 519, 2556, 15416, 563, 12850, 2638, 538, 1416, 5321, 25856, 1472, 1079, 1883, 2798, 281, 9013, 519, 1981, 540, 6181, 542, 7578, 543, 7303, 9470, 3429, 563, 763, 1101, 1900, 602, 2115, 547, 581, 17298, 538, 1931, 547, 2569, 519, 1981, 540, 6181, 542, 7578, 538, 1416, 5321, 568, 10442, 519, 1374, 540, 519, 1216, 1062, 563, 11854, 32496, 267, 519, 1216, 1062, 1058, 723, 2110, 10612, 1740, 9280, 609, 7850, 13471, 269, 10049, 1031, 538, 519, 1062, 1058, 711, 3895, 519, 2208, 540, 519, 4551, 267, 7132, 8825, 3800, 1996, 12526, 1058, 581, 2322, 883, 1747, 563, 1103, 2474, 540, 5106, 267, 1416, 1753, 9946, 1058, 581, 3222, 540, 519, 1249, 602, 6181, 542, 7578, 666, 16196, 6385, 2016, 519, 1318, 2175, 269, 901, 1797, 602, 3905, 1216, 1058, 581, 6740, 693, 513, 2837, 476, 2568, 9180, 5934, 543, 7856, 693, 513, 5934, 2837, 540, 476, 2004, 9180, 269, 8074, 281, 634, 3892, 2837, 540, 3905, 1216, 538, 3782, 543, 1416, 5321, 568, 476, 4649, 9180, 563, 30509, 689, 4259, 519, 1318, 2837, 585, 4859, 543, 3892, 540, 3905, 1216, 267, 621, 568, 1898, 547, 2932, 13350, 11974, 543, 24422, 593, 519, 1216, 1062, 267, 23295, 676, 513, 8036, 543, 4810, 3318, 269, 901, 1981, 4879, 1058, 849, 581, 12649, 689, 942, 547, 942, 563, 1103, 1082, 8808, 5321, 267, 1216, 2837, 568, 2356, 6854, 693, 476, 2568, 9180, 269, 901, 711, 1175, 547, 1852, 519, 1981, 540, 6181, 542, 7578, 855, 849, 585, 824, 5301, 267, 1519, 585, 3156, 899, 27445, 543, 10051, 946, 563, 763, 1966, 1934, 568, 602, 950, 519, 1216, 2837, 4679, 267, 519, 7264, 540, 1416, 5321, 616, 693, 1981, 585, 9470, 3429, 563, 4415, 713, 538, 2247, 267, 519, 1318, 2243, 547, 2307, 568, 281, 1215, 666, 596, 6922, 1047, 519, 1981, 585, 1312, 6181, 542, 7578, 543, 9470, 3429, 286, 634, 14724, 1259, 547, 2061, 1312, 6181, 542, 7578, 543, 9470, 3429, 538, 8808, 1416, 5321, 568, 547, 3888, 27687, 1738, 11544, 17901, 269, 1452, 17901, 2061, 519, 11166, 540, 1216, 609, 513, 2837, 3564, 476, 6246, 9180, 269, 0, 24791, 667, 568, 606, 1898, 8770, 2404, 609, 3875, 15629, 3252, 267, 855, 5310, 6171, 667, 779, 1034, 4922, 1634, 2640, 616, 1346, 621, 2488, 547, 519, 30273, 1062, 267, 12077, 922, 5107, 538, 5642, 7777, 1436, 543, 4887, 1599, 267, 1312, 540, 799, 616, 1271, 585, 4227, 519, 1981, 585, 3978, 2887, 5829, 18655, 538, 519, 11361, 269, 1717, 267, 972, 779, 1776, 30273, 2783, 602, 779, 1044, 5532, 547, 6171, 667, 4567, 602, 666, 10556, 606, 4587, 2937, 779, 2702, 547, 4163, 856, 741, 2834, 2238, 540, 3232, 2713, 281, 561, 29856, 11983, 23296, 2670, 563, 299, 29856, 11983, 23296, 2670, 568, 513, 1455, 28115, 894, 11983, 2068, 4611, 538, 32560, 540, 519, 11983, 12324, 676, 28115, 894, 838, 2720, 267, 5394, 2287, 540, 28587, 267, 543, 2530, 540, 519, 954, 591, 974, 13887, 12210, 5624, 269, 12580, 2404, 609, 519, 2783, 1331, 1970, 1394, 543, 12765, 1442, 270, 5586, 1928, 630, 821, 610, 1312, 7953, 1070, 7411, 7109, 908, 5667, 6269, 9285, 7555, 267, 543, 3908, 10892, 950, 6972, 630, 516, 31084, 547, 607, 5778, 28193, 804, 7596, 1709, 1040, 589, 476, 1001, 274, 1353, 1336, 602, 10199, 1614, 6709, 11467, 540, 561, 29856, 11983, 23296, 2670, 2550, 616, 6171, 667, 28119, 267, 543, 1317, 1970, 6171, 667, 2157, 723, 1044, 5532, 547, 1896 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1922, 659, 1006, 1808, 476, 272, 268, 279, 18958, 2338, 264, 786, 581, 12943, 610, 8120, 676, 835, 540, 519, 2126, 7426, 7396, 2630, 267, 1142, 540, 799, 568, 513, 6976, 6994, 16014, 912, 2752, 298, 19884, 2657, 0, 12850, 568, 513, 10475, 4199, 267, 543, 621, 568, 1898, 585, 1272, 269, 10251, 267, 1216, 5533, 568, 513, 1713, 1966, 602, 5540, 1082, 2694, 540, 519, 1158, 269, 4826, 5533, 568, 519, 4527, 540, 5739, 6878, 538, 1216, 4703, 267, 799, 666, 723, 14042, 2360, 593, 12748, 1272, 543, 3425, 269, 769, 713, 2376, 267, 649, 786, 2263, 1018, 3123, 1216, 5533, 267, 922, 2360, 267, 543, 1761, 3435, 563, 267, 538, 2221, 779, 3992, 649, 786, 581, 7234, 513, 1360, 1271, 1888, 281, 1216, 5533, 269, 13018, 267, 649, 786, 581, 3695, 1018, 3123, 1216, 5533, 269, 4826, 5533, 568, 513, 3978, 3390, 607, 621, 666, 2800, 2713, 7103, 543, 519, 1604, 269, 1635, 1620, 922, 3123, 267, 649, 666, 960, 2509, 7303, 543, 4227, 1216, 5533, 269, 2913, 779, 4685, 538, 2336, 8139, 519, 15486, 540, 4826, 21694, 454, 12850, 5533, 666, 2049, 1813, 547, 1585, 2188, 267, 1519, 1480, 2238, 543, 2067, 3123, 269, 634, 1739, 616, 930, 540, 519, 1292, 3123, 540, 1216, 5533, 912, 15542, 1559, 543, 6080, 3132, 513, 2603, 540, 3653, 602, 666, 581, 5739, 547, 519, 1604, 269, 1403, 711, 14013, 26356, 540, 267, 891, 22837, 666, 1265, 741, 1259, 883, 1216, 4703, 267, 3056, 547, 1216, 5533, 269, 2368, 540, 519, 4853, 3653, 602, 666, 2014, 1216, 5533, 2882, 6464, 267, 5230, 8407, 267, 543, 6757, 6878, 563, 13070, 3472, 1116, 2238, 971, 607, 519, 946, 540, 18168, 543, 13851, 666, 849, 1291, 547, 1216, 5533, 269, 1879, 891, 6878, 616, 4294, 547, 7031, 267, 789, 666, 694, 788, 883, 519, 3037, 543, 5555, 1265, 741, 1259, 883, 1216, 4703, 269, 901, 666, 723, 14042, 2360, 593, 12748, 1272, 543, 3425, 945, 8532, 13572, 1216, 563, 306, 1168, 720, 543, 654, 770, 1168, 831, 454, 306, 1168, 720, 543, 16894, 616, 930, 540, 519, 1713, 20334, 547, 1216, 5533, 269, 1879, 21137, 568, 711, 7157, 5701, 267, 621, 666, 2270, 5739, 4551, 543, 8290, 602, 666, 1291, 547, 1216, 13871, 3676, 269, 6684, 267, 16894, 689, 5321, 543, 6080, 666, 2270, 6464, 543, 824, 5739, 6878, 602, 666, 3542, 1393, 1216, 4703, 563, 302, 559, 29908, 616, 1776, 2014, 540, 1216, 5533, 269, 1879, 3282, 29908, 2049, 267, 789, 666, 8764, 622, 1216, 4703, 267, 3056, 547, 519, 2669, 540, 12748, 1272, 269, 13813, 29908, 666, 849, 1860, 3425, 945, 8532, 13572, 1216, 610, 2097, 883, 3346, 609, 621, 563, 20332, 3123, 971, 607, 17160, 267, 24377, 267, 543, 16767, 666, 849, 1291, 547, 1216, 5533, 269, 1452, 2067, 12469, 666, 2014, 3037, 11761, 267, 3056, 547, 519, 18254, 540, 21439, 538, 1216, 4703, 269, 901, 666, 2569, 1216, 2298, 543, 1291, 547, 519, 2669, 540, 12748, 1272, 563, 22546, 338, 540, 4826, 21694, 454, 763, 2360, 540, 1216, 5533, 666, 581, 14042, 547, 1312, 3425, 543, 12748, 1272, 269, 2368, 540, 519, 2360, 540, 1216, 5533, 1331, 912, 12850, 13871, 3676, 971, 607, 26601, 5028, 267, 27193, 1355, 267, 543, 7988, 550, 2044, 616, 930, 540, 519, 1034, 1455, 2360, 540, 1216, 5533, 269, 1452, 3676, 666, 581, 1272, 18446, 267, 2523, 538, 3384, 2477, 1141, 1569, 547, 2973, 1216, 568, 3908, 563, 5719, 987, 540, 13985, 1738, 5020, 454, 12850, 5533, 666, 1291, 547, 519, 2669, 540, 12748, 1272, 267, 1519, 3165, 267, 16015, 267, 543, 824, 7286, 2831, 269, 901, 666, 723, 513, 1713, 1764, 593, 519, 5117, 543, 519, 1426, 5832, 563, 24965, 1027, 4826, 10866, 454, 12850, 5533, 666, 2569, 519, 2298, 540, 1216, 267, 1818, 621, 22247, 585, 1480, 4616, 269, 901, 666, 1291, 547, 519, 3262, 540, 1216, 13871, 3676, 543, 824, 1072, 2042, 563, 12850, 5533, 666, 849, 723, 513, 1713, 2804, 1764, 267, 2523, 538, 2950, 602, 7048, 593, 10068, 543, 824, 1216, 5829, 2238, 269, 1879, 1216, 4703, 616, 26130, 267, 891, 2238, 1831, 7543, 267, 3056, 547, 2530, 540, 24454, 543, 4747, 563, 22069, 1903, 547, 4826, 21694, 454, 12850, 5533, 568, 513, 1713, 1966, 267, 855, 621, 568, 711, 513, 27945, 835, 269, 634, 1739, 616, 930, 540, 519, 1761, 3435, 547, 1216, 5533, 912, 19187, 17904, 2598, 27760, 454, 19187, 3653, 12871, 568, 1898, 538, 7303, 1216, 5533, 269, 24322, 543, 10820, 1058, 2327, 602, 3653, 568, 14013, 26356, 540, 547, 2061, 621, 689, 4466, 922, 1259, 883, 1216, 4703, 563, 8196, 540, 5113, 958, 6363, 7037, 15733, 454, 763, 946, 540, 13476, 7888, 2472, 666, 849, 948, 2061, 1216, 5533, 269, 1280, 3236, 267, 3079, 540, 1210, 3114, 18168, 543, 13851, 267, 6705, 666, 946, 5214, 8925, 602, 798, 711, 2800, 519, 1604, 563, 12850, 2126, 568, 1776, 2500, 3070, 547, 1216, 5533, 269, 654, 770, 1168, 831, 543, 21137, 1058, 581, 14013, 5701, 1354, 1373, 26809, 883, 1216, 4703, 547, 2061, 519, 3262, 540, 1216, 13871, 3676, 563, 302, 559, 1975, 650, 10644, 454, 302, 559, 29908, 666, 581, 15286, 676, 4180, 602, 3282, 6551, 338, 543, 7382, 619, 616, 5265, 9738, 269, 769, 2013, 540, 513, 21383, 267, 2656, 2962, 1058, 581, 3144, 547, 2270, 519, 21383, 543, 2061, 621, 689, 10825, 2417, 563, 19733, 543, 17607, 454, 19733, 543, 4656, 11044, 666, 849, 948, 2061, 1216, 5533, 269, 18877, 1058, 581, 13473, 593, 519, 2956, 540, 2973, 1216, 543, 875, 547, 2061, 1216, 5533, 563, 1103, 3932, 267, 1216, 5533, 568, 513, 1713, 1966, 602, 5540, 1082, 2694, 540, 519, 1158, 269, 898, 568, 3361, 676, 1585, 2188, 267, 1519, 1480, 2238, 543, 2067, 3123, 269, 634, 2360, 540, 1216, 5533, 666, 581, 14042, 267, 855, 1761, 3435, 971, 607, 1697, 3653, 12871, 267, 946, 540, 13476, 7888, 2472, 267, 1216, 2126, 267, 3282, 21383, 6604, 267, 543, 2069, 543, 4656, 11044, 666, 948, 2061, 621, 269, 898, 568, 909, 547, 782, 540, 721, 547, 1404, 938, 851, 538, 4180, 602, 1216, 3788, 513, 10475, 4199, 602, 568, 2922, 543, 3015, 547, 782, 563, 11902, 17988, 585, 1548, 15486, 4826, 21694, 6103, 476, 274, 454, 1432, 568, 1216, 5533, 888, 12850, 5533, 4523, 950, 3653, 267, 6464, 267, 610, 824, 5536, 616, 546, 22981, 610, 682, 8898, 883, 4703, 540, 1216, 899, 12084, 267, 8933, 267, 12647, 267, 543, 1866, 269, 4826, 5533, 666, 2800, 711, 1175, 7286, 2831, 543, 2371, 267, 855, 849, 3425, 945, 4235, 610, 946, 13572, 1216, 563, 1432, 616, 519, 3123, 540, 1216, 5533, 888, 3080, 540, 519, 2101, 3123, 540, 1216, 5533, 568, 1480, 2534, 971, 607, 546, 18804, 13818, 3653, 267, 16445, 532, 267, 21137, 267, 543, 3282, 29908, 267, 1851, 1866, 269, 14175, 4248, 543, 13621, 6777, 666, 849, 4163, 5533, 883, 8933, 267, 12647, 267, 543, 12084, 269, 26478, 685, 13226, 543, 3114, 20359, 689, 4610, 849, 3542, 1393, 1216, 267, 1247, 16996, 543, 9635, 11166, 3282, 543, 824, 14107, 883, 519, 4262, 563, 1432, 616, 930, 1806, 540, 1216, 5533, 888, 14300, 540, 1216, 5533, 1331, 6694, 3653, 267, 21137, 267, 3282, 29908, 267, 16445, 267, 543, 6464, 899, 13851, 543, 18168, 269, 1879, 891, 6878, 616, 546, 22981, 883, 4703, 540, 1216, 267, 789, 666, 2014, 2800, 547, 12748, 1272, 543, 849, 3425, 945, 8532, 13572, 1216, 563, 1432, 616, 519, 2360, 540, 1216, 5533, 888, 12850, 5533, 814, 1082, 24379, 2360, 593, 519, 1604, 269, 1280, 1383, 267, 621, 666, 6146, 12748, 1272, 267, 6861, 14015, 9249, 267, 543, 6175, 1216, 2298, 269, 901, 267, 538, 2490, 267, 5540, 1480, 1072, 998, 519, 12526, 540, 519, 1426, 5832, 269, 25530, 26130, 1216, 666, 2014, 3676, 899, 26601, 5028, 267, 27193, 1355, 267, 543, 17537, 267, 1851, 1866, 563, 1692, 666, 649, 2061, 1216, 5533, 888, 7093, 28124, 1216, 5533, 6238, 609, 1142, 540, 721, 269, 1284, 991, 547, 26565, 540, 13818, 3653, 267, 6464, 267, 543, 824, 14107, 5265, 269, 700, 7867, 532, 1058, 849, 581, 14284, 269, 1879, 621, 2501, 547, 6694, 3653, 267, 6705, 991, 547, 581, 6297, 827, 875, 789, 946, 13851, 543, 18168, 269, 18489, 3175, 602, 11151, 6080, 689, 17579, 532, 14107, 883, 1216, 4703, 568, 2629, 267, 607, 568, 16069, 3282, 29908, 269, 3958, 267, 7446, 13476, 7888, 2472, 543, 2921, 851, 538, 11824, 2973, 5725, 666, 948, 2061, 1216, 5533, 269, 0, 5475, 519, 7929, 8778, 267, 1973, 543, 2634, 267, 621, 568, 519, 2295, 779, 2490, 547, 7866, 519, 4527, 540, 2890, 680, 10415, 269, 589, 1507, 1353, 5267, 602, 12362, 13487, 6391, 4679, 4598, 547, 5068, 15998, 563, 9767, 786, 849, 581, 5461, 454, 263, 517, 3381, 264, 589, 8773, 1922, 880, 547, 2973, 519, 12084, 540, 2890, 680, 10415, 12824, 689, 590, 747, 10224, 2160, 630, 19770, 264, 723, 2919, 513, 1507, 8773, 910, 7498, 19859, 680, 10415, 616, 1336, 538, 2011, 267, 1216, 267, 1426, 543, 1256, 538, 2694, 540, 519, 1480, 1560, 971, 607, 519, 9641, 543, 2634, 269, 8298, 673, 267, 2094, 789, 666, 4283, 998, 1585, 1560, 19659, 602, 616, 538, 1463, 3346, 609, 519, 3544, 267, 971, 607, 519, 9224, 543, 5023, 269, 1548, 827, 519, 9025, 1062, 286, 1703, 568, 1869, 513, 3668, 540, 1239, 593, 4598, 547, 2890, 680, 10415, 538, 4625, 6806, 1480, 8219, 563, 288, 12681, 1353, 540, 476, 1428, 1004, 945, 1185, 22734, 2295, 6391, 8612, 602, 3173, 1336, 2890, 680, 10415, 538, 1082, 2295, 8031, 269, 1452, 5068, 5536, 1223, 723, 2097, 1282, 10551, 5773, 563, 301, 710, 2010, 540, 5068, 538, 1114, 7306, 454, 763, 1382, 2319, 1031, 513, 8955, 1463, 18342, 3114, 9196, 1062, 543, 17655, 6475, 22794, 547, 5659, 2295, 5160, 543, 1973, 5439, 269, 2073, 5843, 680, 10415, 941, 711, 24080, 1459, 538, 782, 5160, 5439, 267, 855, 8370, 2010, 540, 5068, 941, 1336, 538, 2947, 5160, 5439, 267, 609, 519, 4102, 8006, 693, 476, 5379, 280, 18725, 332, 269, 2237, 2278, 269, 634, 2164, 2303, 602, 12362, 2564, 5773, 616, 606, 540, 339, 27492, 331, 10541, 8905, 540, 4598, 547, 2890, 680, 10415, 267, 607, 789, 1683, 1463, 1569, 547, 519, 18072, 543, 4835, 8031, 269, 31377, 763, 3173, 9959, 602, 2417, 2090, 616, 2877, 547, 1732, 1174, 519, 2360, 540, 2890, 680, 10415, 593, 519, 9025, 1062, 563, 763, 1007, 3390, 540, 7395, 685, 28358, 3120, 9232, 1215, 1281, 519, 7122, 1860, 721, 286, 12232, 593, 3377, 1056, 338, 1631, 912, 328, 1413, 585, 12139, 2104, 593, 519, 3377, 1056, 454, 1103, 713, 1007, 3390, 267, 1265, 912, 268, 476, 272, 6239, 11711, 281, 968, 1692, 6496, 519, 17807, 18748, 2974, 9495, 31377, 268, 476, 272, 16861, 3758, 593, 2825, 2152, 281, 968, 18183, 1258, 1154, 12821, 807, 1107, 15142, 267, 5842, 9822, 2456, 7201, 16242, 892, 3248, 268, 1656, 1082, 824, 12043, 547, 1732, 1174, 519, 1158, 543, 8190, 621, 281, 634, 2142, 770, 540, 519, 22588, 267, 634, 23317, 540, 25925, 267, 7316, 568, 5303, 24613, 29845, 15328, 6193, 11310, 267, 3163, 538, 22383, 2507, 0, 298, 26234, 30169, 568, 513, 24245, 267, 27676, 2783, 602, 5540, 7366, 540, 6634, 540, 2550, 269, 901, 2783, 3123, 2101, 12772, 538, 3461, 2298, 540, 1272, 543, 666, 2061, 2550, 689, 2502, 538, 4948, 2238, 269, 918, 26234, 30169, 568, 835, 540, 519, 3056, 3123, 540, 9659, 5001, 563, 6124, 5574, 616, 2877, 547, 2232, 519, 2115, 540, 2550, 269, 7351, 5574, 616, 8572, 547, 2232, 519, 23979, 540, 1148, 7781, 20162, 538, 519, 4299, 12597, 269, 634, 2564, 2146, 568, 3168, 547, 1020, 5499, 5574, 602, 666, 2232, 519, 5817, 3123, 540, 12597, 30169, 563, 300, 525, 26067, 2096, 531, 6565, 2281, 630, 5960, 12336, 264, 616, 513, 1761, 9354, 11134, 585, 8156, 2550, 609, 12597, 30169, 269, 4197, 519, 1761, 540, 713, 2126, 568, 1883, 547, 3384, 2500, 11257, 269, 1703, 616, 513, 1297, 540, 4791, 8062, 602, 616, 25093, 1472, 519, 1158, 602, 616, 14236, 519, 946, 540, 6565, 2281, 585, 8156, 30169, 563, 23804, 2090, 602, 2743, 3621, 4170, 666, 581, 2352, 269, 1703, 616, 9118, 2090, 602, 3136, 547, 4685, 883, 519, 2360, 540, 6565, 1591, 3797, 593, 30169, 269, 589, 1353, 267, 6356, 4369, 540, 8544, 26067, 2096, 531, 6565, 2281, 585, 8156, 2550, 609, 12597, 30169, 281, 513, 13849, 20400, 4724, 519, 10661, 540, 2500, 27532, 14317, 267, 12649, 519, 1699, 3332, 540, 875, 6565, 1591, 3797 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14810, 602, 5795, 513, 2012, 547, 513, 5339, 9135, 543, 513, 23381, 630, 308, 9008, 807, 5148, 543, 267, 1034, 28020, 267, 513, 7826, 12004, 10455, 543, 883, 519, 3318, 5049, 267, 7338, 2859, 476, 275, 270, 276, 263, 277, 1040, 0, 28694, 24225, 4214, 609, 1806, 269, 10610, 24225, 568, 513, 5037, 602, 2501, 1063, 519, 4367, 543, 519, 3932, 269, 1215, 547, 2328, 1560, 5037, 585, 11708, 910, 28568, 631, 9680, 288, 2991, 596, 1451, 875, 547, 2328, 4985, 543, 11137, 585, 17130, 476, 272, 267, 596, 1590, 2328, 3501, 1560, 9433, 547, 6060, 1164, 538, 28568, 4305, 476, 272, 269, 898, 568, 5227, 547, 2328, 1079, 1560, 9433, 543, 585, 713, 267, 596, 991, 3670, 5220, 630, 22764, 585, 1142, 1040, 1703, 616, 1614, 1919, 547, 3314, 1247, 1603, 1560, 1862, 10610, 24225, 338, 454, 1692, 1684, 594, 3503, 606, 2271, 549, 267, 10390, 267, 1299, 10610, 24225, 286, 1923, 772, 4429, 20278, 618, 269, 22073, 693, 519, 1283, 540, 513, 1007, 2985, 267, 519, 1292, 1560, 540, 519, 1382, 1957, 5205, 519, 7493, 543, 9551, 525, 519, 22108, 2985, 269, 1290, 1440, 2213, 540, 519, 4367, 267, 1505, 267, 2164, 267, 543, 4901, 1016, 21827, 267, 519, 1292, 1560, 6411, 607, 519, 3791, 2101, 3296, 540, 519, 3561, 543, 3335, 5956, 593, 519, 3791, 2985, 540, 519, 1957, 269, 1215, 547, 3503, 513, 10886, 5811, 281, 10610, 24225, 338, 910, 9752, 3267, 1215, 547, 3503, 513, 10886, 5811, 281, 10610, 24225, 338, 3962, 1560, 5037, 1058, 1376, 609, 513, 1888, 4845, 538, 799, 596, 1533, 519, 1448, 596, 786, 581, 3384, 1369, 1142, 5037, 269, 1452, 1058, 711, 581, 3274, 1582, 17272, 1211, 6898, 269, 10610, 24225, 338, 11473, 17976, 910, 4828, 5675, 1923, 595, 2293, 5028, 2991, 11264, 713, 1576, 267, 596, 786, 581, 2111, 547, 281, 910, 1711, 2500, 5098, 6898, 585, 707, 3594, 910, 1544, 543, 2328, 5635, 270, 4186, 2858, 267, 2014, 27160, 977, 267, 543, 4661, 3594, 910, 2328, 1134, 31465, 1560, 9433, 8074, 281, 634, 15872, 543, 2259, 2238, 616, 2139, 585, 1863, 267, 855, 596, 1590, 22010, 547, 519, 2628, 4528, 538, 1931, 547, 1491, 519, 4429, 288, 5037, 568, 3989, 607, 968, 320, 1895, 540, 5220, 610, 513, 2582, 4845, 602, 3029, 513, 1770, 892, 630, 299, 12584, 5112, 543, 1230, 333, 832, 476, 14138, 1040, 20099, 543, 5920, 798, 711, 3313, 2436, 513, 3296, 538, 513, 1957, 568, 513, 5037, 269, 1280, 3236, 267, 538, 930, 6163, 540, 1603, 267, 3226, 4760, 2065, 6163, 267, 513, 5037, 666, 581, 1175, 835, 4845, 1279, 563, 3383, 1631, 602, 596, 616, 2944, 609, 707, 4367, 267, 621, 568, 942, 547, 1205, 3323, 593, 519, 1560, 540, 707, 1557, 7868, 1560, 540, 707, 1557, 568, 1141, 596, 786, 7118, 1034, 540, 707, 7436, 269, 1306, 513, 3391, 267, 513, 1434, 1560, 1131, 723, 1063, 476, 275, 547, 476, 276, 9433, 15700, 593, 513, 3099, 540, 3584, 269, 5675, 10610, 24225, 1280, 4828, 281, 12856, 1656, 7151, 3267, 5675, 606, 1557, 1560, 5037, 568, 711, 606, 2653, 4305, 267, 855, 1934, 596, 1265, 5363, 1344, 827, 2497, 543, 606, 1383, 540, 513, 1560, 5037, 585, 606, 1557, 269, 7427, 891, 4388, 543, 596, 786, 798, 713, 3728, 543, 2653, 543, 1205, 1164, 9344, 269, 1215, 1677, 3503, 10610, 24225, 338, 910, 19336, 4065, 3367, 593, 547, 1451, 875, 547, 2328, 17020, 476, 277, 1560, 9433, 269, 9978, 5037, 2497, 281, 1215, 547, 2328, 513, 1560, 5037, 1923, 4828, 1603, 3487, 476, 275, 269, 2755, 1082, 1053, 1589, 6382, 267, 1557, 1603, 568, 711, 513, 9814, 269, 4828, 1603, 568, 513, 4052, 5578, 602, 666, 581, 4121, 543, 4824, 998, 2259, 543, 11428, 269, 7300, 8525, 16200, 10610, 24225, 338, 910, 632, 14186, 9884, 5801, 12975, 454, 1692, 547, 3503, 513, 10610, 24225, 585, 2659, 4828, 1341, 27842, 454, 28694, 24225, 910, 5675, 11473, 676, 24761, 10445, 1560, 5037, 1888, 4845, 1344, 2963, 2079, 2913, 781, 2911, 827, 1560, 9433, 267, 865, 1560, 9433, 1118, 909, 519, 5354, 540, 1018, 596, 2811, 1603, 538, 707, 3594, 269, 1924, 538, 1931, 547, 1118, 621, 513, 2370, 3787, 4443, 585, 1250, 1053, 594, 3357, 909, 609, 513, 2656, 4542, 543, 621, 781, 2731, 513, 2596, 4542, 602, 596, 949, 1616, 547, 1039, 811, 547, 2663, 267, 855, 519, 3267, 1215, 547, 2328, 513, 1560, 5037, 538, 606, 1557, 1862, 910, 6478, 3503, 585, 3267, 1215, 547, 2328, 513, 1560, 5037, 538, 606, 1557, 1862, 7427, 713, 2653, 3562, 3146, 332, 1897, 4542, 950, 1603, 513, 1560, 5037, 585, 707, 1557, 910, 23140, 4488, 269, 3962, 540, 519, 5022, 568, 3009, 585, 519, 1826, 540, 4845, 547, 581, 2854, 269, 901, 30551, 4828, 20895, 4024, 918, 1157, 3399, 2659, 5675, 634, 1560, 568, 1141, 596, 666, 1376, 547, 1205, 2731, 3860, 543, 1404, 1472, 609, 11249, 269, 769, 519, 2095, 24577, 267, 972, 616, 1614, 1560, 9433, 269, 1809, 602, 781, 1317, 594, 729, 8036, 538, 519, 476, 276, 24733, 4588, 7291, 269, 1809, 596, 666, 1331, 607, 1082, 610, 607, 1906, 1560, 9433, 607, 596, 1616, 32737, 1279, 607, 596, 1439, 909, 8499, 5885, 707, 5098, 269, 7300, 20895, 12856, 585, 16520, 5811, 4828, 910, 6119, 269, 644, 322, 12975, 454, 1692, 1677, 3503, 513, 10610, 24225, 1280, 513, 3194, 7433, 281, 9669, 1280, 4841, 769, 1022, 2016, 1382, 1957, 267, 519, 1560, 568, 519, 27162, 4554, 851, 547, 2328, 269, 898, 781, 519, 851, 602, 3568, 782, 519, 5342, 1382, 267, 7744, 543, 4661, 566, 602, 596, 723, 547, 1459, 563, 763, 1560, 540, 519, 1557, 786, 1331, 1614, 1560, 9433, 538, 513, 2947, 24733, 4588, 1557, 3898, 267, 1142, 3908, 547, 835, 1292, 2856, 602, 7028, 707, 5098, 269, 1677, 7157, 2328, 1142, 540, 891, 1614, 1560, 9433, 267, 596, 1058, 1533, 707, 5885, 2856, 267, 707, 1888, 13419, 1005, 10610, 24225, 338, 910, 6119, 269, 644, 322, 12975, 3962, 1560, 5037, 1058, 6338, 513, 1292, 2856, 267, 2285, 1806, 610, 2963, 267, 543, 5659, 1806, 610, 2963, 269, 1677, 2226, 9355, 267, 1142, 1560, 5037, 1058, 2270, 1152, 835, 1292, 2856, 269, 1703, 568, 1100, 1305, 1297, 540, 1560, 9433, 602, 596, 991, 585, 707, 1557, 267, 543, 24225, 338, 543, 13445, 29941, 281, 5675, 20929, 281, 5675, 3267, 24225, 338, 1299, 13445, 29941, 269, 589, 5037, 568, 513, 3126, 540, 5220, 602, 616, 6896, 543, 17396, 267, 543, 616, 782, 1644, 547, 513, 2582, 1888, 269, 20290, 1169, 4062, 540, 1603, 596, 798, 602, 568, 3476, 982, 513, 1906, 5220, 1058, 581, 6896, 883, 9433, 269, 634, 31597, 6651, 547, 519, 476, 276, 6261, 541, 4588, 4828, 454, 1692, 547, 3503, 513, 9608, 4828, 281, 27491, 1923, 4828, 3682, 589, 2123, 1557, 568, 513, 15923, 2239, 1650, 538, 799, 2278, 8843, 2123, 2833, 267, 13685, 267, 16367, 1344, 267, 3092, 269, 6258, 547, 3503, 519, 17828, 4828, 10610, 24225, 338, 1923, 9457, 303, 3639, 2507, 1677, 1205, 513, 4110, 267, 835, 814, 547, 1118, 621, 2386, 602, 519, 1557, 1560, 9433, 540, 1010, 17017, 1957, 616, 540, 519, 1655, 2298, 269, 1520, 4784, 569, 267, 9457, 303, 3639, 2593, 568, 2141, 4712, 547, 1683, 596, 609, 971, 3028, 256, 1215, 547, 3503, 513, 10439, 5811, 4828, 630, 25456, 609, 20895, 264, 10439, 2079, 1557, 1603, 3391, 585, 1153, 543, 2852, 1053, 267, 2688, 22967, 4650, 2593, 1215, 547, 3503, 606, 4828, 910, 14168, 4828, 5675, 9669, 543, 17778, 547, 2507, 0, 8072, 1103, 1249, 267, 938, 3926, 568, 513, 15409, 6850, 15258, 328, 1748, 609, 513, 6131, 1445, 267, 1775, 4318, 269, 621, 5638, 2855, 15219, 8926, 610, 9402, 26470, 563, 763, 3926, 568, 20386, 1472, 707, 5580, 6186, 543, 5638, 782, 5122, 6786, 15427, 676, 519, 19432, 540, 519, 2295, 4887, 16224, 454, 338, 904, 9324, 529, 1546, 618, 773, 341, 267, 835, 540, 519, 9367, 267, 513, 4487, 2875, 693, 519, 4972, 540, 30059, 19639, 618, 10435, 563, 29587, 779, 2534, 786, 581, 6592, 2429, 513, 1554, 543, 1287, 2366, 547, 513, 16335, 3842, 513, 2027, 813, 799, 568, 849, 1373, 2919, 676, 519, 1053, 269, 14904, 786, 581, 2111, 547, 2671, 713, 1239, 609, 7189, 865, 602, 789, 666, 3490, 513, 5868, 593, 3102, 1344, 269, 4340, 547, 519, 9367, 267, 7189, 786, 581, 2111, 547, 2047, 4309, 519, 5638, 540, 2295, 5464, 998, 513, 6531, 3028, 538, 519, 2104, 563, 20124, 281, 589, 18634, 3926, 269, 769, 519, 2104, 519, 3950, 518, 786, 581, 8704, 883, 513, 6899, 524, 4428, 563, 6097, 547, 513, 1788, 6205, 543, 513, 570, 303, 308, 620, 4379, 639, 1488, 2006, 15196, 12112, 2559, 267, 519, 3926, 786, 1450, 1004, 6895, 741, 26470, 593, 741, 1378, 543, 3343, 4387, 779, 5796, 1152, 585, 513, 3318, 2079, 540, 519, 6394, 1239, 269, 17497, 1152, 2564, 5238, 949, 946, 13487, 2680, 2594, 619, 1317, 519, 4540, 3435, 616, 1932, 7199, 585, 8723, 2550, 563, 8072, 29012, 267, 2147, 5464, 1949, 2907, 2291, 543, 616, 1031, 538, 10506, 267, 855, 789, 616, 711, 1367, 269, 2334, 568, 267, 1152, 2564, 5238, 949, 6718, 971, 3937, 543, 2550, 946, 873, 538, 1931, 540, 10862, 269, 1284, 15974, 513, 3926, 602, 3025, 666, 4444, 1510, 513, 4387, 779, 13310, 865, 602, 1004, 1810, 1406, 991, 547, 7227, 585, 741, 2490, 269, 769, 1840, 267, 938, 2855, 15219, 8926, 3950, 518, 786, 581, 811, 10097, 543, 10375, 547, 946, 982, 922, 12746, 1132, 269, 4706, 11741, 1560, 543, 22809, 786, 581, 4625, 2048, 572, 1233, 685, 883, 519, 524, 4428, 563, 763, 3950, 518, 786, 849, 1942, 827, 476, 278, 268, 279, 8536, 6299, 956, 267, 1247, 519, 3902, 540, 4540, 12746, 1132, 568, 811, 982, 476, 1911, 8536, 6299, 956, 16224, 454, 1492, 17354, 6941, 563, 9143, 308, 1053, 723, 2907, 19632, 513, 4628, 2324, 18634, 269, 3767, 267, 519, 3950, 518, 1058, 581, 9168, 547, 1118, 621, 811, 10375, 585, 4948, 946, 269, 901, 4305, 786, 581, 8737, 676, 519, 2887, 476, 1001, 278, 269, 13536, 519, 1053, 1544, 547, 1376, 4791, 8062, 693, 519, 570, 1682, 330, 3194, 4659, 540, 9315, 5735, 269, 0, 763, 14465, 638, 7566, 5600, 630, 19669, 327, 718, 264, 568, 513, 8978, 2679, 538, 5507, 543, 519, 1152, 2679, 602, 729, 711, 10032, 676, 519, 3595, 540, 519, 2025, 6519, 327, 718, 20066, 538, 476, 15433, 279, 269, 898, 568, 4092, 538, 6519, 327, 718, 9335, 267, 2673, 547, 519, 3004, 325, 531, 3258, 12384, 269, 634, 2012, 540, 519, 2679, 4016, 547, 3875, 7333, 638, 1115, 543, 6105, 799, 941, 4371, 972, 538, 519, 2250, 269, 6519, 327, 718, 20066, 267, 547, 799, 519, 14465, 638, 7566, 5600, 20705, 267, 729, 519, 4013, 15335, 540, 519, 2296, 21257, 689, 476, 14631, 271, 11489, 476, 15433, 279, 563, 763, 2679, 267, 2966, 676, 769, 15282, 13643, 267, 729, 519, 1101, 2296, 2679, 547, 581, 9112, 538, 519, 29724, 11665, 673, 2511, 269, 634, 2856, 729, 547, 1711, 606, 9678, 4055, 538, 519, 19289, 1141, 519, 4622, 1223, 2972, 930, 4708, 543, 9602, 267, 2476, 689, 519, 7453, 543, 11826, 1857, 1272, 269, 634, 2679, 3568, 2609, 8984, 540, 519, 7969, 11193, 269, 898, 729, 835, 540, 519, 1101, 5656, 3710, 538, 519, 476, 1704, 628, 2540, 547, 6451, 4837, 9486, 607, 606, 1202, 15975, 269, 898, 814, 513, 6366, 8122, 547, 5529, 676, 513, 2545, 755, 8565, 543, 922, 1292, 3655, 9809, 1228, 814, 667, 7595, 543, 594, 4577, 9587, 269, 18738, 519, 14465, 638, 7566, 5600, 972, 616, 1079, 11623, 267, 835, 1524, 560, 4202, 543, 519, 824, 835, 267, 799, 729, 1031, 607, 513, 7333, 21103, 10689, 267, 593, 519, 1283, 6989, 269, 7201, 17231, 519, 2666, 6989, 972, 568, 513, 1950, 540, 1591, 1513, 799, 941, 1031, 676, 6276, 594, 607, 1010, 4357, 11623, 563, 13436, 4025, 676, 912, 347, 25820, 1475, 7538, 2433, 476, 276, 269, 876, 1126, 2433, 476, 271, 269, 876, 630, 720, 2999, 1428, 264, 2875, 2433, 476, 275, 269, 876, 630, 720, 2999, 2918, 264, 19622, 2433, 476, 275, 269, 876, 630, 720, 476, 4792, 283, 10245, 347, 10481, 7240, 10974, 1475, 7906, 269, 31746, 5400, 278, 280, 267, 910, 271, 269, 14695, 275, 4343, 280, 2008, 347, 11754, 816, 1475, 14684, 272, 288, 476, 273, 4975, 540, 5507, 267, 6519, 327, 718, 2008, 347, 17746, 2315, 7389, 1475, 268, 476, 14341, 273, 2008, 347, 5415, 1344, 1475, 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 ]
[ 883, 1018, 729, 4742, 519, 834, 22068, 591, 6520, 257, 540, 2951, 543, 2951, 3332, 267, 543, 2348, 631, 3326, 7851, 538, 873, 2356, 5280, 547, 2327, 741, 2883, 1967, 269, 634, 7047, 2762, 5795, 4396, 640, 547, 519, 1419, 16678, 11585, 4330, 543, 13854, 519, 1857, 3747, 585, 7851, 538, 2835, 540, 16831, 1137, 563, 8170, 519, 1082, 7851, 631, 3326, 2813, 585, 1010, 2261, 10719, 27498, 267, 835, 540, 519, 1483, 21889, 568, 589, 10934, 540, 519, 2622, 2701, 9405, 519, 6092, 540, 6004, 269, 667, 2086, 4536, 30576, 720, 18471, 898, 281, 3245, 476, 15757, 280, 547, 476, 15433, 272, 267, 799, 729, 3769, 538, 667, 2086, 1512, 779, 589, 1715, 30576, 720, 18471, 519, 2622, 267, 3370, 676, 6276, 12928, 2194, 517, 538, 5507, 538, 476, 15433, 279, 269, 634, 17715, 267, 3274, 23678, 1386, 267, 543, 2143, 5595, 268, 1335, 15172, 26841, 6920, 519, 10848, 540, 667, 2086, 1512, 779, 1101, 2235, 4379, 3572, 566, 543, 568, 513, 17501, 4367, 547, 667, 2086, 1512, 779, 9565, 20100, 269, 12411, 687, 540, 713, 4786, 267, 609, 1697, 19260, 267, 849, 7902, 538, 8342, 6773, 779, 589, 30576, 720, 18471, 519, 2622, 1862, 630, 10204, 278, 264, 543, 29124, 685, 589, 14265, 2358, 30576, 720, 18471, 519, 2622, 630, 14378, 273, 1070, 6029, 741, 9757, 13743, 902, 563, 300, 3326, 538, 2490, 729, 711, 1152, 6976, 1134, 585, 1010, 960, 855, 849, 4607, 20250, 1344, 540, 11397, 4025, 267, 971, 607, 5245, 267, 14913, 5607, 267, 543, 3162, 3013, 267, 585, 1010, 2520, 13132, 267, 693, 331, 1162, 267, 543, 7851, 267, 2523, 634, 2622, 2677, 8282, 2807, 901, 1165, 1470, 693, 20393, 267, 631, 3326, 779, 7715, 940, 9740, 543, 513, 533, 4883, 12386, 540, 22733, 10601, 3864, 7047, 2762, 267, 729, 3370, 538, 8370, 3703, 543, 1079, 19266, 730, 9721, 21820, 538, 476, 14378, 276, 268, 11260, 275, 543, 2356, 16922, 13977, 1804, 1079, 1606, 18694, 7851, 540, 782, 2694, 540, 519, 1158, 269, 898, 711, 1152, 17820, 631, 3326, 779, 23678, 1324, 5578, 538, 922, 1034, 10058, 1106, 267, 621, 849, 8659, 930, 540, 519, 1655, 1806, 540, 1010, 8984, 543, 4583, 4786, 711, 725, 563, 300, 3326, 267, 667, 2086, 1512, 267, 543, 29124, 849, 5702, 2170, 539, 609, 6628, 779, 1079, 6574, 5830, 540, 519, 2038, 22733, 2540, 267, 12253, 4347, 4141, 543, 22189, 27997, 269, 631, 3326, 7851, 540, 12724, 4141, 779, 6532, 543, 27997, 779, 26704, 3338, 7902, 538, 519, 2038, 21820, 540, 20484, 12724, 4141, 630, 14378, 280, 264, 543, 717, 1638, 1853, 779, 3004, 12069, 630, 15094, 277, 1070, 6606, 269, 717, 1638, 1853, 267, 945, 729, 24018, 1310, 667, 2086, 1512, 267, 29124, 267, 543, 12724, 4141, 267, 849, 17099, 631, 3326, 607, 1010, 4786, 20447, 543, 14439, 1864, 607, 835, 540, 1152, 1614, 4890, 1004, 5018, 538, 519, 1650, 547, 7247, 646, 786, 1867, 1010, 4681, 269, 3502, 528, 13124, 4550, 268, 11391, 790, 267, 27997, 1419, 30237, 1242, 519, 11440, 1235, 543, 741, 6264, 328, 846, 2518, 22649, 267, 2523, 538, 1769, 540, 519, 11636, 960, 646, 16363, 2556, 547, 581, 2944, 6251, 547, 1753, 267, 538, 1010, 11537, 8581, 267, 585, 1383, 563, 9377, 4141, 1759, 1010, 2140, 1915, 538, 18279, 7327, 13987, 630, 15094, 271, 264, 593, 667, 2086, 1512, 543, 29124, 607, 1134, 269, 3502, 2150, 2988, 1227, 267, 646, 8385, 1256, 949, 723, 20335, 519, 2856, 585, 519, 2012, 540, 519, 631, 3326, 674, 1633, 619, 1915, 689, 519, 2140, 540, 513, 2442, 2038, 32732, 7570, 10601, 1433, 267, 634, 3778, 540, 674, 1633, 619, 609, 631, 3326, 779, 10934, 269, 631, 3326, 7851, 11609, 4347, 4141, 779, 589, 12875, 774, 549, 685, 519, 19940, 6816, 540, 4279, 6628, 630, 15094, 275, 268, 15094, 278, 1070, 543, 4347, 4141, 4806, 539, 1010, 25304, 3057, 527, 574, 639, 1299, 20497, 529, 630, 15094, 279, 264, 593, 631, 3326, 779, 25304, 2983, 1748, 639, 24222, 519, 13737, 10865, 602, 10443, 689, 476, 10204, 279, 547, 476, 14378, 278, 267, 950, 621, 729, 28025, 1065, 21242, 538, 2947, 12531, 269, 2311, 519, 1439, 540, 519, 2196, 519, 9408, 686, 828, 1185, 513, 1699, 2518, 11585, 609, 7851, 543, 824, 12383, 602, 729, 811, 8763, 982, 631, 3326, 779, 4505, 3590, 540, 17323, 1862, 263, 10204, 272, 1916, 300, 3326, 267, 4347, 4141, 267, 667, 2086, 1512, 267, 543, 29124, 543, 1896, 1866, 538, 741, 5858, 3838, 543, 15469, 513, 5075, 540, 3162, 7256, 1646, 267, 513, 10325, 538, 799, 519, 9456, 7414, 543, 519, 9703, 540, 3162, 3013, 1131, 581, 8118, 547, 3703, 4123, 269, 27837, 676, 1239, 13859, 676, 667, 2086, 1512, 543, 29124, 543, 676, 631, 3326, 779, 7851, 540, 519, 3148, 267, 519, 3312, 1523, 16957, 569, 3357, 689, 4347, 4141, 267, 945, 2094, 476, 10204, 274, 1185, 1044, 538, 519, 2308, 540, 7917, 4498, 2917, 267, 519, 3532, 10584, 540, 519, 5600, 540, 12780, 269, 1809, 519, 3162, 7256, 7577, 267, 5750, 1229, 676, 12057, 538, 476, 14378, 272, 267, 2965, 729, 22885, 676, 513, 8857, 267, 3627, 4793, 3205, 267, 945, 849, 22885, 519, 7813, 540, 4789, 563, 32701, 267, 4347, 4141, 6157, 6508, 930, 540, 519, 23710, 2225, 585, 519, 14679, 689, 631, 3326, 779, 7851, 269, 932, 8270, 1862, 630, 10204, 280, 1070, 585, 1383, 267, 4951, 3875, 9039, 343, 11962, 10596, 538, 519, 1656, 525, 602, 20726, 539, 9244, 693, 519, 7872, 540, 6628, 17215, 11579, 7992, 519, 14861, 710, 689, 519, 7414, 5032, 540, 3162, 3013, 269, 3414, 1010, 7047, 2762, 267, 799, 3622, 6462, 543, 9450, 2390, 519, 24221, 2451, 676, 667, 2086, 1512, 543, 29124, 267, 631, 3326, 5483, 543, 9070, 663, 1242, 519, 1857, 827, 519, 3162, 7256, 1788, 543, 7551, 8329, 547, 519, 3395, 23019, 535, 1066, 5414, 269, 769, 476, 14378, 272, 646, 3370, 589, 7348, 540, 519, 11076, 267, 18831, 543, 11866, 1369, 519, 7799, 1080, 540, 519, 3162, 7256, 7577, 267, 513, 11585, 602, 3769, 513, 1507, 855, 9565, 4786, 540, 519, 6069, 2804, 1858, 269, 1261, 4553, 609, 513, 2101, 4786, 267, 589, 1715, 1299, 1401, 716, 10934, 540, 519, 3213, 6814, 267, 18831, 267, 543, 11866, 1369, 9493, 7799, 1080, 540, 9493, 3162, 7256, 7577, 1862, 630, 14378, 276, 1070, 538, 634, 2622, 2677, 8282, 19601, 2690, 519, 4557, 4458, 6228, 540, 519, 3162, 7256, 7577, 267, 2705, 267, 519, 1152, 834, 339, 8565, 257, 5645, 593, 729, 538, 922, 6006, 269, 634, 3902, 829, 2671, 1102, 3836, 689, 11278, 1911, 538, 476, 14378, 272, 547, 11278, 272, 267, 1822, 538, 5181, 476, 15094, 271, 267, 855, 519, 834, 15124, 3162, 7256, 32686, 1076, 257, 16802, 2663, 602, 3923, 950, 519, 3902, 32168, 539, 547, 11278, 5197, 269, 4347, 4141, 543, 930, 540, 1010, 2828, 949, 723, 20335, 856, 538, 942, 267, 855, 8101, 543, 1483, 1957, 6830, 17480, 8593, 609, 519, 3902, 540, 519, 3810, 936, 1998, 4240, 543, 26203, 6006, 269, 11184, 21469, 13053, 267, 585, 1383, 267, 27333, 4503, 11278, 736, 267, 1822, 563, 763, 2622, 2677, 8282, 1862, 849, 3769, 1896, 824, 1713, 7047, 4919, 1806, 1200, 531, 3429, 519, 21554, 540, 519, 3703, 7276, 269, 589, 10934, 540, 519, 4639, 28851, 1862, 543, 1896, 1866, 538, 519, 1305, 4843, 547, 519, 1869, 7361, 2192, 30185, 1857, 513, 3703, 4605, 540, 513, 2101, 7810, 14364, 540, 1699, 3864, 7526, 267, 971, 607, 519, 2782, 540, 519, 5053, 11773, 542, 630, 20075, 523, 14732, 779, 2782, 264, 540, 476, 10204, 273, 268, 14378, 275, 267, 799, 8486, 1540, 6628, 267, 519, 10513, 4936, 7276, 267, 543, 26652, 1996, 5333, 543, 8050, 936, 519, 25816, 2548, 10841, 754, 3599, 547, 519, 5053, 17599, 269, 634, 4786, 2982, 519, 13323, 540, 6792, 543, 12144, 7256, 543, 741, 26195, 337, 687, 269, 2986, 11108, 1374, 543, 759, 680, 754, 550, 609, 631, 3326, 779, 5386, 23678, 1324, 543, 4484, 532, 267, 621, 849, 3568, 1082, 6835, 547, 519, 3593, 269, 4935, 267, 631, 3326, 8612, 609, 21686, 3515, 2066, 891, 4703, 540, 7297, 2947, 13475, 540, 519, 535, 12574, 14951, 7904, 1115, 267, 3001, 689, 24861, 267, 6792, 267, 18010, 267, 543, 8419, 547, 8050, 269, 6792, 4975, 543, 519, 3771, 26092, 540, 834, 21545, 320, 645, 7578, 2437, 32147, 3570, 267, 966, 5028, 30434, 267, 543, 853, 269, 27596, 267, 950, 576, 519, 13284, 1127, 8977, 539, 267, 616, 1202, 564, 593, 519, 4786, 269, 1452, 23937, 5280, 547, 1118, 631, 3326, 779, 4786, 513, 834, 321, 25458, 2033, 518, 4786, 257, 711, 1152, 585, 971, 3703, 4357, 619, 607, 667, 2086, 1512, 543, 29124, 267, 855, 849, 267, 543, 5310, 811, 1271, 267, 585, 922, 829, 22852, 538, 519, 3703, 1772, 956, 543, 11992, 538, 2342, 563, 300, 3326, 543, 1010, 27498, 9415, 519, 5010, 7399, 540, 1646, 538, 519, 3162, 7256, 267, 855, 741, 3152, 1719, 9846, 10704, 593, 519, 6932, 2295, 540, 519, 1007, 3703, 7276, 281, 3345, 3013, 543, 519, 12144, 7256, 269, 4014, 519, 4639, 28851, 4786, 949, 1134, 581, 631, 3326, 779, 4487, 1740, 267, 1010, 1034, 4583, 1367, 4786, 568, 589, 1715, 543, 1401, 716, 10934, 540, 519, 18067, 687, 540, 519, 3751, 540, 4279, 6628, 593, 9493, 2552, 5799, 540, 3345, 3013, 1862, 630, 14378, 276, 1040, 8058, 532, 519, 1858, 585, 799, 646, 1185, 519, 1655, 2200, 267, 621, 568, 4440, 1010, 1034, 4977, 4786, 267, 855, 3169, 3363, 729, 711, 1287, 543, 568, 711, 2221, 519, 9030, 2601, 585, 922, 556, 852, 333, 269, 631, 3326, 21825, 5116, 606, 13267, 1202, 564, 6429, 540, 1802, 560, 686, 748, 581, 28316, 2978, 1681, 32069, 593, 513, 2481, 609, 15281, 698, 4673, 22484, 538, 519, 4282, 2443, 8754, 267, 922, 2442, 2140, 267, 519, 834, 6826, 11232, 10934, 1701, 22682, 267, 713, 3703, 11440, 626, 5497, 1010, 4786, 711, 1152, 547, 1397, 3345, 3013, 543, 519, 6364, 540, 513, 2487, 2112, 609, 5333, 855, 849, 547, 1217, 543, 561, 675, 17053, 21152, 269, 3414, 8642, 6041, 543, 16555, 267, 631, 3326, 4843, 782, 3344, 540, 519, 3703, 10125, 538, 519, 1655, 267, 23344, 711, 519, 1034, 4977, 267, 1769, 269, 6145, 4347, 4141, 779, 9098, 538, 631, 3326, 674, 1633, 619, 267, 646, 8179, 547, 5641, 519, 10125, 538, 519, 3239, 540, 519, 3993, 2197, 269, 769, 713, 3592, 7329, 22690, 545, 1715, 2622, 4259, 267, 519, 2244, 267, 2059, 609, 9237, 2182, 960, 267, 1131, 1683, 519, 4316, 585, 513, 26349, 7004, 689, 3935, 626, 883, 519, 3703, 18840, 6943, 540, 519, 9493, 2674, 16027, 543, 811, 563, 288, 1715, 543, 1401, 716, 10934, 540, 519, 3213, 6814, 2676, 15575, 1845, 267, 543, 11866, 1369, 9493, 7799, 1080, 454, 1993, 9493, 3162, 7256, 7577, 267, 476, 15094, 277, 563, 8624, 3005, 540, 667, 12447, 543, 7225, 344, 22365, 28496, 345, 563, 12812, 3239, 585, 3677, 2070, 563, 763, 10629, 267, 29842, 534, 5939, 2006, 267, 543, 11786, 1884, 1172, 4115, 268, 2117, 515, 6048, 5261, 853, 8123, 2917, 2968, 606, 1271, 3659, 1282, 519, 2063, 1079, 5756, 540, 631, 3326, 779, 1272, 267, 1310, 670, 5622, 651, 543, 667, 2086, 1512, 1185, 5293, 2476, 269, 589, 13653, 540, 519, 5980, 540, 4165, 1172, 2456, 543, 267, 899, 670, 5622, 651, 267, 513, 29533, 540, 519, 9576, 5980, 267, 853, 8123, 2917, 1705, 519, 17170, 3312, 2361, 960, 593, 519, 2038, 32665, 18911, 613, 4609, 540, 589, 557, 12064, 267, 12942, 1156, 613, 267, 543, 853, 656, 517, 667, 4319, 269, 1809, 646, 4636, 569, 11911, 891, 811, 3504, 4609, 547, 519, 2663, 22469, 17913, 11856, 540, 519, 667, 745, 1749, 543, 538, 865, 3257, 3648, 25623, 519, 667, 745, 573, 25954, 602, 1131, 2097, 883, 2407, 8768, 1282, 519, 7766, 5736, 540, 21434, 1143, 563, 1103, 1896, 8320, 538, 1010, 7731, 6490, 7546, 338, 267, 853, 8123, 2917, 6920, 1010, 7681, 609, 631, 3326, 267, 543, 519, 1152, 1634, 4605, 540, 631, 3326, 568, 513, 2241, 17250, 676, 853, 8123, 2917, 267, 18584, 834, 1704, 7442, 269, 476, 15094, 274, 1701, 1358, 3838, 4690, 538, 11585, 543, 7047, 2762, 267, 543, 267, 6093, 540, 519, 21654, 267, 789, 849, 3838, 609, 27997, 543, 1866, 513, 2543, 585, 519, 8106, 1974, 269, 631, 3326, 3370, 1010, 774, 8812, 5565, 1715, 543, 6452, 23847, 21476, 540, 519, 1323, 857, 757, 1862, 538, 476, 15094, 272, 267, 6264, 328, 846, 569, 6131, 547, 853, 8123, 2917, 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, 23945, 543, 8908, 513, 1957, 602, 20781, 547, 713, 5401, 281, 4635, 519, 2553, 4330, 538, 11271, 476, 272, 268, 277, 2328, 513, 1957, 538, 799, 596, 2697, 519, 4661, 16629, 1088, 2006, 2306, 543, 4431, 547, 602, 4661, 269, 1411, 5889, 23717, 961, 991, 547, 13713, 17412, 519, 4661, 538, 707, 3210, 269, 1411, 666, 3858, 267, 10990, 267, 610, 513, 4999, 540, 1312, 269, 2422, 519, 17074, 543, 2553, 689, 519, 11271, 476, 272, 268, 276, 543, 476, 278, 563, 268, 2659, 2079, 1590, 581, 538, 1557, 1106, 3617, 547, 2852, 7400, 1603, 630, 1706, 4588, 338, 267, 13289, 267, 606, 4367, 543, 3932, 267, 3092, 28593, 268, 1411, 1590, 2491, 707, 2093, 538, 1469, 538, 1931, 547, 5693, 543, 4625, 3715, 707, 2990, 563, 268, 2422, 1100, 3544, 1382, 269, 8081, 666, 2097, 689, 707, 1378, 2093, 610, 519, 2376, 596, 8359, 563, 268, 1411, 949, 946, 1101, 1268, 267, 855, 798, 865, 4140, 5534, 569, 269, 6423, 3848, 476, 276, 563, 268, 5269, 2386, 547, 946, 2048, 341, 4069, 12508, 685, 630, 8450, 3848, 476, 276, 994, 268, 5269, 2386, 596, 723, 3769, 606, 17090, 3718, 24764, 269, 898, 1590, 581, 851, 540, 519, 3561, 543, 621, 1590, 581, 519, 2063, 2985, 269, 3718, 24764, 11643, 14384, 786, 711, 581, 28439, 563, 268, 5269, 2386, 707, 1957, 5205, 17090, 3898, 4010, 454, 27393, 569, 11368, 10530, 1210, 519, 12882, 11366, 385, 497, 338, 663, 16049, 5889, 11366, 1505, 538, 3848, 476, 274, 540, 1358, 17166, 270, 296, 17166, 563, 268, 5457, 281, 596, 1058, 581, 1603, 827, 835, 540, 519, 8655, 4930, 267, 5356, 5059, 5758, 543, 17548, 707, 1378, 2990, 538, 6935, 547, 519, 2376, 563, 268, 5901, 30667, 476, 272, 268, 276, 538, 2247, 563, 268, 2659, 5098, 3948, 1058, 2232, 519, 3003, 1603, 5401, 269, 5269, 621, 5059, 543, 1808, 563, 268, 5213, 1406, 1711, 513, 2048, 4289, 5758, 10200, 12315, 3988, 513, 2489, 2856, 540, 519, 1888, 267, 543, 1445, 593, 28388, 519, 2694, 4143, 547, 707, 2990, 563, 2710, 596, 991, 513, 2147, 7084, 2944, 585, 596, 689, 15072, 286, 1284, 723, 11727, 5830, 547, 948, 596, 269, 1284, 26924, 596, 606, 589, 266, 2298, 1957, 602, 568, 1863, 689, 17096, 269, 11352, 1631, 585, 606, 29055, 5494, 870, 2336, 8196, 5494, 870, 8943, 834, 6124, 743, 1304, 257, 585, 513, 476, 1428, 260, 5494, 870, 2336, 301, 289, 281, 1284, 798, 711, 1191, 961, 4574, 269, 16270, 19280, 267, 649, 798, 606, 3312, 1957, 14311, 585, 596, 269, 0, 303, 778, 11770, 1069, 14799, 538, 519, 31297, 2098, 17274, 1046, 31136, 609, 8965, 2042, 563, 27154, 2924, 15628, 616, 1631, 25921, 2565, 563, 21581, 19827, 1397, 519, 4539, 540, 519, 26646, 563, 295, 27304, 910, 2311, 1101, 16145, 267, 621, 5654, 607, 952, 519, 17707, 568, 31667, 532, 513, 1906, 7544, 3268, 563, 9515, 14578, 3217, 513, 1900, 1394, 543, 8521, 267, 17666, 1200, 2451, 1850, 267, 19755, 621, 543, 17444, 621, 1394, 513, 2370, 538, 519, 2011, 267, 1287, 8380, 621, 1394, 1524, 593, 519, 22501, 6989, 540, 1200, 26456, 543, 4358, 519, 5311, 540, 3268, 1586, 563, 763, 4775, 17707, 6763, 538, 513, 5858, 609, 1200, 8284, 19246, 267, 945, 798, 711, 2408, 547, 581, 8886, 730, 676, 713, 2623, 563, 3719, 607, 513, 21951, 540, 891, 3381, 19827, 267, 835, 568, 11214, 7255, 563, 3674, 602, 875, 513, 2635, 533, 778, 11770, 1069, 31136, 888, 7343, 30068, 267, 519, 1739, 3593, 593, 12108, 4280, 5128, 519, 1482, 2243, 563, 2005, 781, 8909, 5961, 602, 7711, 303, 4953, 4696, 324, 28852, 1633, 3576, 693, 570, 1512, 335, 1046, 1948, 295, 10402, 20198, 538, 31297, 910, 543, 19890, 711, 606, 9678, 2013, 563, 288, 4620, 320, 29489, 3081, 267, 834, 1607, 568, 606, 3665, 8965, 4524, 543, 513, 1463, 1267, 540, 24811, 1701, 966, 807, 7711, 2023, 1467, 4179, 2517, 339, 16691, 270, 8867, 277, 329, 276, 323, 308, 330, 295, 273, 454, 1765, 27068, 667, 879, 828, 31822, 294, 2958, 800, 291, 879, 828, 264, 5130, 476, 1626, 267, 476, 1708, 274, 454, 763, 4775, 17707, 568, 476, 3451, 4458, 6040, 700, 2967, 16429, 327, 689, 670, 10402, 20198, 25089, 538, 31297, 563, 763, 22114, 723, 1044, 1634, 585, 1896, 1296, 267, 519, 670, 3711, 584, 3455, 5651, 2102, 14006, 454, 288, 29489, 689, 519, 3662, 10304, 3919, 8891, 320, 568, 25921, 2565, 563, 20442, 849, 723, 7044, 689, 519, 4832, 540, 476, 1708, 273, 6029, 519, 1482, 3662, 1701, 1452, 616, 849, 5497, 547, 1397, 602, 700, 2967, 16429, 327, 15211, 1394, 543, 8521, 585, 3764, 563, 1607, 568, 606, 3665, 8965, 4524, 543, 513, 1463, 12343, 540, 1373, 538, 24811, 2223, 6941, 29489, 962, 341, 517, 928, 654, 14660, 345, 563, 6097, 547, 654, 14660, 345, 267, 19246, 3802, 1472, 476, 1839, 12919, 513, 1554, 563, 7617, 540, 1576, 568, 711, 2009, 538, 513, 1507, 3662, 26456, 563, 6826, 8326, 958, 22841, 4775, 17707, 281, 634, 3662, 2907, 1185, 891, 17244, 950, 1352, 8452, 693, 519, 23291, 3592, 476, 1789, 1296, 3516, 454, 763, 16943, 693, 519, 31297, 25089, 1654, 515, 618, 569, 17792, 519, 25197, 566, 602, 519, 3662, 729, 7092, 689, 513, 4524, 543, 3357, 547, 519, 3932, 602, 972, 729, 834, 11274, 5193, 569, 4986, 547, 2303, 257, 602, 700, 2967, 16429, 327, 729, 7092, 610, 15176, 676, 1200, 2623, 563, 763, 3662, 7959, 6899, 609, 670, 10402, 20198, 543, 1281, 711, 1397, 1022, 2566, 2623, 267, 519, 23291, 16943, 568, 454, 763, 17707, 10800, 689, 10476, 2907, 4951, 519, 2623, 4806, 4330, 950, 1352, 8452, 538, 31297, 3592, 476, 1789, 1296, 3516, 563, 4415, 891, 1913, 267, 519, 23291, 13151, 3307, 569, 26814, 11735, 519, 25197, 725, 1500, 676, 519, 3662, 2924, 19191, 563, 10193, 26357, 547, 519, 2427, 540, 519, 31297, 2098, 17274, 1046, 563, 303, 9508, 568, 1634, 585, 14084, 267, 519, 8891, 320, 29489, 2899, 1586, 7301, 569, 1140, 6479, 547, 834, 11365, 7092, 257, 910, 607, 513, 1463, 1267, 540, 519, 24811, 563, 4263, 519, 1482, 942, 267, 2705, 267, 1352, 1223, 711, 2491, 1946, 519, 824, 2831, 538, 670, 10402, 20198, 1705, 711, 1397, 519, 1482, 4806, 563, 6826, 8326, 958, 22841, 4775, 17707, 281, 570, 1512, 335, 1046, 17990, 1141, 621, 666, 454, 27154, 11614, 616, 711, 1152, 22309, 676, 519, 3662, 4027, 3919, 27946, 288, 1317, 540, 519, 1419, 1447, 982, 2249, 29003, 9393, 787, 540, 741, 2831, 563, 763, 2831, 1131, 581, 10268, 538, 18186, 657, 563, 9336, 2034, 3662, 538, 715, 305, 310, 1256, 814, 8965, 2042, 563, 1103, 1840, 267, 4856, 7431, 814, 849, 3361, 513, 10565, 2883, 3510, 538, 4436, 18186, 657, 563, 1103, 519, 29291, 267, 972, 1058, 581, 8638, 540, 799, 3662, 814, 547, 581, 1793, 4381, 1229, 1101, 563, 295, 10402, 20198, 25089, 849, 17990, 1141, 621, 666, 563, 6097, 547, 519, 2754, 267, 519, 27352, 1710, 2331, 2754, 1281, 711, 4309, 1022, 18513, 14828, 563, 763, 10865, 1648, 3790, 4805, 616, 4061, 538, 519, 3670, 18251, 2039, 563, 1607, 1032, 267, 519, 23291, 26770, 513, 1942, 2333, 540, 693, 2547, 476, 736, 547, 476, 1789, 2600, 563, 25387, 811, 982, 476, 6977, 271, 2831, 2661, 972, 563, 267, 519, 3232, 3790, 585, 1426, 267, 1416, 267, 5201, 267, 1216, 543, 1454, 811, 616, 1472, 476, 6078, 267, 1822, 20789, 338, 563, 303, 4953, 288, 711, 1152, 11044, 585, 2831, 538, 24811, 267, 855, 849, 585, 519, 5329, 540, 12418, 538, 6917, 2127, 910, 899, 713, 835, 538, 519, 631, 625, 22138, 8664, 563, 3719, 711, 1169, 16027, 15055, 547, 1294, 713, 946, 2901, 563, 8266, 540, 6299, 7879, 281, 9736, 30567, 334, 645, 1712, 270, 574, 6210, 0, 290, 19281, 517, 1299, 1576, 9623, 454, 17345, 8745, 281, 6258, 11114, 5675, 1107, 670, 3570, 670, 3570, 670, 836, 592, 454, 8138, 27583, 281, 2060, 713, 3381, 3126, 689, 11114, 12218, 6200, 267, 538, 8938, 4245, 596, 786, 1451, 519, 11114, 9904, 267, 1634, 607, 670, 836, 592, 563, 9743, 1192, 528, 281, 570, 4381, 676, 634, 16595, 267, 15864, 267, 543, 1034, 1187, 1259, 547, 1451, 513, 1893, 2336, 32051, 281, 9752, 1299, 6298, 12515, 454, 17809, 3660, 676, 281, 772, 323, 5519, 454, 25820, 281, 1269, 866, 269, 4200, 630, 29592, 10958, 994, 10403, 19420, 517, 3009, 281, 6423, 1657, 630, 7224, 5279, 585, 19420, 517, 994, 18800, 9623, 1299, 8560, 454, 2026, 540, 4728, 476, 1428, 267, 476, 1001, 280, 7498, 10743, 281, 476, 27174, 1053, 19801, 454, 305, 520, 902, 281, 476, 2004, 8039, 454, 305, 1678, 281, 19486, 1948, 279, 1626, 538, 772, 323, 5519, 9752, 1299, 6298, 12515, 20043, 454, 289, 4361, 1576, 6609, 454, 1103, 713, 3381, 3126, 540, 8938, 4245, 267, 596, 786, 1451, 519, 11114, 9904, 267, 1634, 607, 670, 836, 592, 269, 1284, 786, 4001, 596, 670, 836, 592, 1210, 2241, 3268, 267, 6029, 596, 519, 2953, 8482, 1931, 267, 5363, 15361, 585, 8357, 1436, 267, 543, 1697, 6165, 538, 1455, 11114, 1913, 269, 1403, 596, 1616, 547, 1205, 3323, 2542, 543, 1603, 11114, 267, 713, 568, 5990, 1747, 547, 1376, 269, 1411, 3580, 1451, 11114, 538, 6071, 3764, 609, 891, 3381, 4245, 267, 865, 6443, 721, 585, 670, 3570, 670, 3570, 670, 836, 592, 689, 11114, 12218, 6200, 2336, 8450, 596, 538, 519, 1576, 2336, 263, 5649, 811, 827, 713, 1576, 593, 519, 4013, 1576, 2985, 8094, 1103, 2617, 894, 5678, 6915, 454, 7712, 922, 15713, 538, 5412, 476, 1220, 276, 267, 30404, 5678, 4804, 267, 20941, 814, 1831, 513, 6205, 538, 2870, 6422, 543, 8076, 1893, 1565, 1543, 998, 922, 1920, 540, 7270, 267, 5985, 3156, 267, 4647, 762, 3301, 543, 24384, 984, 23697, 269, 30404, 5678, 4804, 568, 519, 1158, 779, 4102, 1893, 2069, 5985, 3498, 17354, 267, 609, 936, 476, 277, 3445, 8924, 538, 936, 476, 2412, 4654, 585, 9042, 538, 519, 1775, 307, 17480, 29393, 4558, 563, 263, 9596, 811, 827, 713, 14357, 593, 519, 4013, 1576, 2985, 8094, 2252, 596, 899, 713, 1576, 267, 596, 1522, 849, 581, 5461, 538, 912, 9596, 875, 547, 4019, 476, 1015, 3741, 540, 9297, 547, 1169, 1554, 1272, 3664, 2436, 922, 3318, 610, 2123, 563, 307, 4381, 676, 10361, 540, 6355, 5004, 267, 24573, 584, 267, 570, 3633, 343, 29150, 454, 288, 1900, 676, 1900, 3391, 609, 2259, 5751, 547, 3533, 1451, 875, 547, 2328, 513, 1164, 6512, 28568, 1603, 4305, 476, 272, 2626, 454, 307, 4381, 676, 16869, 2296, 1893, 4116, 454, 10527, 2185, 1016, 7615, 1935, 547, 1620, 3425, 543, 7311, 19795, 547, 707, 1272, 7536, 307, 4381, 676, 19848, 6048, 454, 9596, 547, 3717, 6739, 519, 1318, 1259, 267, 1318, 689, 519, 1376, 1210, 2413, 267, 1893, 1565, 2553, 563, 307, 4381, 676, 1411, 3580, 6258, 674, 2120, 454, 9743, 2315, 531, 5071, 2433, 21541, 519, 21541, 518, 1107, 15858, 9751, 9828, 2433, 19019, 531, 15858, 9751, 5071, 454, 307, 4381, 676, 21541, 7308, 6874, 1778, 518, 16869, 543, 23654, 966, 728, 19212, 454, 29806, 3877, 585, 713, 772, 323, 5519, 1576, 454, 20597, 650, 1377, 281, 715, 12458, 454, 299, 624, 999, 281, 476, 736, 15872, 4245, 454, 291, 4851, 281, 476, 272, 269, 276, 3108, 540, 3381, 454, 1432, 596, 1205, 281, 1635, 519, 1439, 540, 713, 1576, 267, 596, 786, 581, 2111, 547, 1224, 543, 2328, 1210, 519, 11114, 670, 836, 592, 1062, 454, 307, 13759, 5304, 281, 18104, 30488, 540, 11114, 454, 16966, 281, 17151, 8135, 1569, 454, 8248, 864, 540, 2247, 281, 476, 1789, 1554, 2724, 1394, 10018, 454, 13510, 22355, 281, 2139, 2228, 267, 607, 1134, 607, 593, 25515, 543, 15692, 454, 12606, 3681, 281, 2638, 1576, 547, 1294, 952, 596, 666, 4647, 4245, 0, 1103, 513, 8337, 1158, 267, 519, 1279, 3856, 9472, 585, 20279, 779, 2916, 543, 4346, 568, 31063, 563, 2252, 6608, 4734, 8511, 3154, 5434, 31250, 267, 3744, 2161, 267, 2810, 9830, 1131, 3136, 547, 7903, 5210, 2362, 267, 6318, 519, 15798, 543, 7654, 14556, 1518, 24377, 543, 824, 4049, 4365, 2621, 602, 2014, 14700, 563, 21953, 2656, 2962, 23647, 676, 2825, 1235, 547, 10654, 2518, 8337, 267, 971, 607, 513, 14869, 3454, 593, 8093, 10173, 602, 884, 342, 3327, 8166, 883, 519, 5790, 267, 1223, 4224, 519, 1858, 4346, 269, 2368, 476, 5392, 2600, 540, 20279, 779, 4346, 2501, 689, 519, 1648, 5823, 563, 2005, 1631, 5526, 2693, 602, 930, 3800, 786, 581, 3144, 547, 2232, 2518, 8337, 607 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 769, 519, 2295, 540, 1924, 325, 807, 267, 519, 3854, 2749, 540, 31697, 267, 1079, 2828, 1107, 25909, 267, 513, 19023, 11653, 2324, 693, 519, 2199, 1379, 2030, 267, 543, 22176, 802, 663, 541, 267, 606, 16529, 1870, 2875, 1107, 1419, 1558, 1310, 1362, 547, 1865, 1699, 2621, 936, 2848, 5446, 11680, 540, 6995, 269, 2290, 1554, 267, 519, 1292, 1888, 729, 519, 2487, 23318, 1500, 676, 519, 16231, 1648, 2754, 9460, 313, 3823, 519, 9042, 540, 519, 24430, 3534, 5687, 29090, 1379, 2030, 780, 296, 7079, 10709, 539, 1394, 267, 1010, 4064, 10452, 6161, 269, 968, 2005, 779, 20468, 267, 22176, 802, 663, 541, 269, 1403, 519, 6069, 9042, 547, 519, 6739, 6109, 17241, 302, 661, 2464, 8813, 998, 267, 945, 6487, 1018, 1223, 4755, 547, 938, 1379, 2030, 9495, 692, 288, 548, 802, 663, 541, 21330, 24617, 267, 521, 6235, 1010, 6995, 269, 968, 12148, 267, 855, 1577, 779, 2015, 519, 1761, 2640, 607, 1134, 269, 9320, 9460, 313, 666, 1265, 513, 811, 5078, 23138, 585, 519, 2030, 267, 2576, 945, 786, 1902, 538, 30222, 543, 1711, 6009, 585, 938, 2146, 14325, 7021, 515, 2130, 741, 6643, 267, 606, 11361, 9543, 2006, 3957, 8891, 541, 14059, 741, 3349, 269, 1261, 5189, 5128, 607, 513, 19622, 11832, 689, 519, 1360, 1482, 1379, 2030, 269, 2060, 1296, 540, 1995, 896, 1010, 12966, 267, 646, 3838, 3407, 4030, 883, 519, 2872, 543, 519, 1764, 971, 2242, 1522, 723, 593, 519, 1004, 3238, 780, 30821, 541, 1767, 267, 968, 293, 12188, 267, 594, 1174, 707, 4145, 267, 855, 1689, 568, 17149, 269, 1284, 1590, 3082, 543, 1413, 4464, 269, 5457, 267, 950, 1272, 3947, 596, 19790, 976, 267, 1118, 21097, 256, 10640, 11900, 18944, 676, 8891, 541, 779, 1913, 267, 789, 3459, 14719, 908, 875, 789, 1223, 3565, 9797, 547, 519, 3510, 269, 1358, 4956, 547, 5531, 1489, 689, 8284, 4600, 267, 17137, 267, 543, 1256, 2825, 3906, 7255, 827, 519, 2104, 540, 519, 1379, 2030, 269, 8625, 267, 789, 4646, 513, 22687, 6322, 693, 4180, 4023, 2126, 1282, 519, 5912, 1974, 1247, 8497, 2816, 3255, 780, 19602, 267, 519, 2923, 13603, 909, 593, 519, 2468, 334, 779, 3646, 269, 5240, 19093, 4080, 593, 741, 12560, 17600, 543, 16268, 19929, 609, 9460, 313, 13222, 267, 28409, 873, 547, 4225, 2199, 4690, 269, 901, 2799, 1857, 22987, 3366, 9460, 313, 547, 556, 29264, 741, 3375, 6194, 1184, 267, 2519, 811, 593, 11413, 543, 12477, 2509, 782, 8639, 780, 30631, 1302, 267, 17241, 302, 661, 2464, 24013, 4319, 922, 19915, 1813, 547, 4835, 2152, 1369, 519, 3919, 269, 1530, 1944, 713, 4316, 267, 9460, 313, 15748, 16395, 609, 513, 32090, 1648, 2754, 1634, 585, 922, 7029, 547, 7791, 2200, 543, 4264, 2853, 269, 6764, 5962, 676, 519, 2178, 2146, 9525, 267, 519, 1007, 5411, 8815, 547, 2226, 4540, 6009, 543, 7630, 7482, 883, 26016, 1944, 519, 10172, 5989, 609, 5969, 12967, 3039, 2029, 780, 7437, 5698, 267, 8990, 267, 543, 1930, 2792, 267, 25909, 267, 22176, 802, 663, 541, 267, 543, 8891, 541, 7152, 519, 2956, 540, 1373, 14942, 4961, 269, 4256, 3460, 6035, 3407, 4245, 593, 10188, 10462, 267, 5807, 9322, 1851, 3309, 2516, 267, 8508, 1689, 267, 543, 5275, 3094, 2914, 514, 3435, 585, 3025, 3238, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 2108, 383, 485, 2131, 679, 518, 10202, 737, 584, 21343, 26535, 340, 9460, 313, 267, 694, 9809, 559, 523, 620, 13799, 322, 13799, 740, 599, 13799, 15570, 17241, 302, 661, 2464, 6109, 553, 13799, 333, 13799, 333, 751, 9383, 604, 7236, 12908, 328, 3331, 356, 2131, 6996, 328, 10300, 785, 324, 10089, 3258, 6017, 262, 13799, 333, 24430, 3534, 2165, 4141, 548, 19241, 20891, 521, 656, 1537, 7236, 2893, 13799, 333, 620, 2742, 575, 23152, 6686, 26535, 17745, 518, 710, 22678, 26535, 4594, 11535, 6328, 13799, 337, 2025, 340, 30322, 684, 340, 513, 9809, 13799, 9383, 611, 13799, 780, 9558, 17218, 547, 2296, 454, 290, 14864, 1648, 2754, 9460, 313, 814, 9307, 602, 621, 568, 4712, 547, 2253, 16395, 593, 519, 6718, 540, 31697, 781, 24430, 3534, 5687, 29090, 1379, 2030, 952, 519, 5697, 23138, 11134, 267, 6739, 17241, 302, 661, 2464, 6109, 267, 11198, 338, 922, 2709, 14325, 763, 1650, 1058, 11200, 998, 519, 3197, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 269, 634, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 3848, 476, 1691, 281, 11154, 633, 4804, 12229, 910, 9608, 1242, 4065, 693, 2659, 674, 532, 1068, 2354, 692, 5331, 952, 1169, 2875, 538, 1362, 1223, 1451, 693, 741, 1378, 10605, 267, 609, 4245, 3358, 1175, 585, 873, 269, 3143, 811, 10010, 998, 2035, 789, 2907, 1174, 267, 543, 1100, 811, 4743, 4503, 1317, 519, 3992, 6410, 1932, 3533, 269, 2334, 781, 1141, 13261, 1565, 3301, 2501, 883, 1404, 256, 901, 5499, 3872, 1907, 4188, 338, 1570, 1759, 593, 1142, 15226, 781, 9342, 267, 12755, 267, 543, 3356, 269, 2913, 781, 4685, 883, 875, 621, 1568, 543, 1946, 621, 666, 948, 596, 1205, 519, 1034, 856, 540, 707, 2069, 780, 1262, 1432, 568, 11154, 633, 4804, 12229, 15140, 13914, 1394, 547, 3381, 3756, 596, 1522, 723, 5129, 282, 5310, 1945, 899, 2608, 300, 9222, 265, 610, 2608, 306, 4577, 29688, 1452, 3756, 1689, 519, 1377, 7411, 4470, 593, 875, 1134, 596, 1685, 269, 1403, 596, 513, 576, 513, 3942, 3362, 267, 519, 3014, 6799, 513, 27162, 615, 4161, 1985, 942, 1472, 269, 2201, 519, 824, 1688, 267, 952, 596, 6560, 267, 519, 3014, 3091, 3063, 4388, 543, 12863, 2157, 2394, 596, 1628, 6015, 269, 3767, 4952, 7311, 891, 3741, 547, 707, 4928, 1107, 15268, 4245, 2687, 547, 1367, 2115, 269, 8080, 547, 13261, 1565, 3301, 2439, 1607, 3532, 2029, 3096, 5841, 4987, 630, 9590, 264, 6620, 543, 3684, 1565, 547, 5659, 1053, 262, 6114, 543, 2773, 1239, 269, 9122, 593, 713, 1344, 267, 519, 1062, 2688, 3278, 1543, 267, 1818, 621, 4443, 610, 9875, 4470, 593, 519, 3593, 781, 1620, 540, 1808, 3584, 269, 3683, 942, 267, 519, 3301, 14439, 3270, 538, 1053, 262, 1565, 6163, 543, 7375, 267, 2417, 17975, 922, 3450, 2409, 585, 6099, 6278, 543, 12802, 780, 1262, 3963, 9701, 5664, 3427, 4841, 5516, 6168, 11154, 633, 4804, 12229, 15140, 272, 269, 2878, 23114, 1436, 5093, 2060, 13261, 1565, 3301, 267, 1169, 2875, 4991, 513, 2189, 1565, 13374, 14018, 547, 741, 5759, 269, 16497, 1831, 11791, 267, 4101, 267, 543, 4143, 267, 5807, 7279, 543, 8404, 563, 273, 269, 2878, 18600, 6066, 5955, 5093, 9521, 2757, 4255, 543, 17118, 267, 799, 949, 1491, 2395, 610, 4374, 547, 3446, 267, 13261, 1565, 1949, 1683, 7525, 5955, 269, 4841, 917, 1318, 2476, 2436, 789, 12943, 7157, 543, 4309, 3606, 2200, 547, 12927, 741, 1620, 563, 274, 269, 2878, 10574, 12454, 4030, 5093, 14268, 543, 7855, 2744, 3407, 5813, 883, 1053, 262, 1565, 3466, 267, 7175, 6098, 1489, 543, 6304, 269, 20331, 609, 1483, 8996, 12642, 267, 3610, 666, 5386, 2389, 2317, 6044, 2994, 547, 8597, 3927, 547, 3309, 6267, 563, 275, 269, 2878, 16966, 2225, 5093, 3509, 13261, 1565, 5867, 2709, 1569, 20471, 267, 9170, 269, 6787, 4974, 1282, 12899, 2736, 267, 14964, 1753, 593, 519, 1668, 267, 610, 21363, 1354, 21557, 267, 1053, 666, 2689, 2326, 543, 2259, 1983, 1210, 1585, 3457, 971, 607, 24195, 267, 14342, 267, 610, 16389, 563, 276, 269, 2878, 30655, 566, 5093, 2368, 3292, 1450, 3755, 547, 1921, 609, 2828, 267, 9905, 267, 610, 21493, 2228, 267, 8716, 18756, 1966, 6061, 543, 1514, 5872, 269, 11622, 908, 609, 1866, 1419, 5012, 547, 4514, 8223, 543, 2799, 9547, 780, 1262, 14300, 540, 11154, 633, 4804, 12229, 4373, 2080, 616, 930, 2442, 13261, 1565, 2645, 1031, 676, 3506, 5001, 1384, 272, 269, 2878, 21197, 299, 4995, 589, 3102, 918, 268, 1321, 1565, 3760, 5356, 10531, 5583, 2066, 2789, 5396, 267, 1519, 2979, 267, 1893, 6575, 267, 2257, 267, 543, 1514, 2090, 269, 26577, 299, 2488, 1900, 8386, 9912, 3435, 267, 10368, 10526, 267, 543, 22783, 540, 9740, 563, 273, 269, 2878, 298, 7315, 9142, 4995, 1323, 3573, 5399, 540, 1863, 267, 1158, 11665, 7044, 267, 4930, 267, 543, 5751, 8720, 6128, 267, 2257, 267, 7384, 267, 1686, 267, 1148, 267, 9297, 267, 543, 811, 269, 16679, 9142, 20205, 13261, 2853, 543, 7512, 1582, 19550, 3408, 563, 274, 269, 2878, 13043, 11898, 4995, 589, 11684, 3059, 2979, 4199, 6220, 3642, 14617, 18862, 267, 7317, 5249, 1806, 267, 543, 1455, 4295, 12972, 269, 4569, 11898, 7028, 24233, 4879, 543, 27424, 3356, 3842, 16022, 21686, 15236, 563, 275, 269, 2878, 5226, 714, 2280, 4995, 589, 8755, 15258, 813, 1630, 8463, 13708, 1881, 2238, 267, 22274, 17279, 2553, 267, 543, 4633, 6284, 2934, 269, 13658, 2280, 2337, 1053, 27655, 6863, 267, 8847, 267, 5013, 267, 543, 5515, 7561, 563, 276, 269, 2878, 6124, 1088, 320, 4995, 589, 1699, 2621, 22045, 12419, 3232, 3377, 4930, 14661, 547, 2947, 2542, 2157, 269, 1715, 1088, 320, 10597, 7924, 1983, 267, 8992, 2565, 3206, 267, 543, 26182, 5483, 5717, 827, 4207, 2152, 780, 1103, 3932, 267, 13261, 1565, 3301, 4564, 513, 1713, 20014, 4464, 538, 2413, 2069, 269, 1635, 8508, 713, 2029, 267, 1647, 1153, 1053, 1796, 547, 4324, 11104, 3585, 689, 3358, 1565, 10092, 267, 31302, 5955, 267, 29829, 4030, 267, 8465, 1569, 267, 543, 10319, 3255, 269, 8414, 3695, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 12606, 4197, 634, 11588, 1656, 24093, 2986, 14997, 11914, 338, 281, 22544, 12834, 476, 1220, 278, 454, 13070, 520, 8725, 1412, 338, 533, 325, 2426, 811, 6127, 267, 540, 4647, 4197, 519, 11588, 543, 24093, 540, 267, 543, 2164, 540, 2208, 16301, 267, 2353, 1934, 607, 513, 11132, 1857, 540, 11097, 12033, 1236, 6235, 519, 2039, 543, 8062, 540, 519, 519, 3162, 16047, 10791, 269, 1656, 1247, 540, 562, 345, 321, 646, 4523, 1010, 521, 2069, 267, 689, 1018, 594, 616, 267, 713, 568, 835, 540, 519, 1732, 5468, 269, 1932, 31035, 4667, 621, 1265, 2833, 11574, 4487, 267, 855, 621, 814, 13175, 547, 1404, 3549, 585, 707, 1826, 595, 1027, 559, 269, 3397, 520, 8725, 267, 513, 8613, 267, 8591, 811, 2484, 1565, 476, 277, 26199, 982, 5863, 269, 1411, 899, 849, 1044, 256, 18578, 514, 32451, 1134, 547, 2119, 267, 711, 476, 277, 26199, 5411, 547, 3605, 267, 909, 1114, 6309, 514, 1275, 547, 2291, 621, 782, 269, 898, 568, 899, 938, 5274, 2029, 269, 1284, 1412, 557, 689, 835, 3635, 610, 4367, 547, 1776, 543, 2285, 602, 649, 2285, 711, 513, 3025, 547, 581, 269, 1284, 1412, 557, 585, 811, 4155, 267, 2943, 649, 1454, 1353, 11419, 995, 543, 21276, 569, 950, 476, 277, 26199, 269, 1281, 1287, 875, 2754, 261, 3464, 31309, 1281, 2919, 547, 1293, 286, 1703, 568, 1100, 2732, 267, 1100, 14498, 522, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 3849, 28922, 4804, 12229, 257, 607, 851, 540, 834, 3633, 24102, 1315, 9752, 1315, 10049, 1299, 20905, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 5272, 12784, 267, 808, 32667, 543, 1010, 2828, 1131, 5531, 693, 519, 2199, 6288, 547, 1404, 13558, 269, 808, 32667, 6068, 1373, 851, 540, 519, 2319, 267, 855, 25015, 267, 646, 1185, 1044, 4743, 13110, 543, 22376, 1375, 880, 1282, 3756, 269, 3571, 3659, 590, 7701, 8068, 1010, 3668, 540, 1648, 543, 4956, 547, 2911, 547, 1864, 827, 621, 780, 257, 20756, 808, 822, 328, 2437, 590 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 11354, 26263, 1108, 910, 8080, 7982, 267, 7186, 2439, 5970, 596, 2479, 8068, 875, 1114, 1919, 1413, 3544, 1282, 1142, 4005, 286, 9320, 596, 4312, 2938, 3762, 9991, 1055, 4054, 538, 519, 2887, 610, 6777, 8720, 519, 2666, 538, 519, 5162, 269, 1809, 723, 596, 2219, 827, 782, 519, 4241, 2242, 602, 4755, 950, 5614, 21128, 286, 2334, 781, 1141, 4307, 1108, 2501, 538, 2439, 303, 1156, 1108, 630, 29455, 13927, 268, 2793, 30045, 268, 7795, 268, 32607, 264, 568, 519, 1353, 540, 2371, 543, 2831, 607, 789, 9305, 547, 4365, 3270, 543, 2067, 9979, 2429, 519, 1032, 269, 898, 2337, 721, 1174, 875, 2713, 1919, 3082, 547, 741, 1604, 543, 875, 2470, 1568, 1927, 607, 835, 2462, 2319, 269, 2913, 781, 2263, 930, 3579, 5614, 5503, 2621, 1572, 834, 338, 7428, 9259, 10590, 9462, 490, 371, 6930, 494, 353, 692, 272, 269, 14863, 8738, 560, 9462, 490, 365, 454, 7628, 5614, 267, 15911, 5210, 2014, 26862, 3529, 19512, 547, 16802, 1930, 256, 901, 1184, 13847, 1007, 3762, 543, 5036, 519, 3942, 585, 5810, 547, 16036, 269, 2368, 2442, 4191, 540, 713, 8345, 616, 7487, 4190, 32395, 593, 4829, 4054, 899, 10027, 1845, 543, 890, 2851, 269, 5620, 596, 2479, 1159, 8215, 513, 8768, 865, 29549, 602, 621, 3576, 707, 7362, 2476, 286, 1411, 1522, 1995, 602, 1247, 11287, 891, 10875, 10525, 2336, 273, 269, 16819, 24779, 1299, 715, 20535, 9462, 494, 355, 454, 2026, 2395, 1205, 3476, 543, 1426, 3587, 811, 10731, 267, 5017, 8038, 1394, 1753, 1310, 7836, 24475, 538, 15911, 4025, 269, 1452, 27436, 15322, 666, 12732, 5215, 540, 5195, 256, 4495, 789, 12446, 267, 1082, 2249, 1628, 20097, 547, 2482, 5798, 543, 6318, 741, 3885, 269, 5901, 606, 3750, 856, 585, 3775, 1231, 5577, 4771, 2066, 1876, 985, 10478, 585, 17494, 610, 6947, 547, 5152, 18346, 13465, 6653, 23964, 693, 21554, 563, 274, 269, 2549, 874, 756, 1014, 17378, 7136, 525, 9462, 494, 372, 454, 293, 5766, 338, 543, 2892, 600, 32752, 1831, 3742, 1586, 2899, 1216, 4703, 3636, 909, 269, 1358, 10836, 689, 30489, 566, 543, 2253, 20282, 12738, 1107, 1419, 5473, 14969, 23929, 543, 7125, 269, 17652, 26063, 267, 8951, 16005, 4212, 13999, 538, 22253, 543, 19126, 269, 2052, 596, 4952, 4466, 13421, 540, 13855, 5798, 13735, 2282, 519, 32132, 286, 1215, 16517, 1131, 602, 581, 286, 2336, 275, 269, 24538, 9622, 10885, 9462, 359, 366, 454, 23219, 1067, 4365, 849, 6786, 7786, 547, 2097, 856, 540, 15720, 269, 2142, 564, 956, 267, 17984, 267, 543, 824, 12961, 1376, 18388, 532, 267, 17875, 1782, 267, 543, 10760, 1472, 10651, 269, 3509, 1004, 1589, 540, 873, 607, 10860, 282, 2705, 267, 789, 1404, 2629, 5107, 538, 26853, 543, 17883, 3157, 269, 1924, 1985, 942, 596, 1294, 513, 17079, 267, 3314, 602, 621, 814, 513, 2816, 547, 798, 538, 5329, 938, 5117, 7059, 2336, 276, 269, 3689, 25204, 518, 12518, 9462, 496, 362, 454, 26807, 2030, 2249, 13686, 741, 5898, 4505, 982, 1866, 269, 1280, 1383, 267, 1236, 6064, 22648, 19674, 998, 13621, 6777, 609, 7524, 13711, 22883, 1127, 269, 16176, 323, 28979, 267, 18415, 4926, 267, 543, 2038, 546, 3530, 617, 2812, 7903, 998, 4411, 3037, 547, 26250, 721, 609, 1750, 2044, 4778, 269, 1635, 9477, 799, 2371, 16036, 1101, 267, 649, 2744, 4030, 883, 2837, 3466, 543, 2949, 2825, 1072, 780, 3086, 602, 596, 917, 827, 5614, 4307, 1108, 1577, 781, 2119, 9477, 891, 5863, 2621, 3054, 256, 3400, 321, 513, 4760, 543, 2594, 7422, 827, 5229, 10767, 7370, 267, 6177, 8289, 902, 267, 27738, 267, 7786, 267, 543, 1101, 16036, 518, 2371, 269, 2060, 2259, 267, 596, 3513, 1831, 513, 9952, 4307, 6048, 267, 4543, 3744, 1732, 1174, 938, 10475, 4541, 3047, 269, 8414, 3695, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 29797, 16915, 5303, 4659, 454, 289, 2969, 2464, 300, 4785, 2975, 6489, 932, 1307, 454, 289, 2969, 2464, 300, 4785, 2975, 6489, 932, 1307, 454, 20360, 577, 830, 6489, 10428, 585, 30482, 12567, 4793, 1470, 5851, 5463, 2610, 24789, 25990, 4039, 1314, 566, 932, 867, 454, 27237, 292, 281, 763, 10189, 4216, 540, 2185, 2511, 2842, 669, 1307, 616, 519, 1482, 538, 5920, 267, 519, 3017, 568, 519, 1257, 593, 519, 5580, 851, 540, 519, 2842, 669, 1307, 563, 2691, 519, 2312, 2842, 538, 4395, 540, 519, 6885, 14034, 267, 1018, 2186, 540, 7099, 621, 568, 256, 4658, 945, 899, 547, 13793, 909, 2842, 669, 1307, 267, 798, 596, 917, 1018, 621, 1797, 888, 1103, 3504, 2053, 267, 519, 4287, 540, 519, 1019, 3899, 6023, 729, 1031, 547, 3313, 519, 12119, 3124, 566, 269, 634, 8262, 667, 23124, 5722, 6801, 2847, 9407, 538, 513, 5858, 269, 634, 1689, 540, 519, 1019, 3899, 568, 5702, 1644, 547, 519, 12119, 1689, 269, 634, 6498, 540, 519, 2185, 12405, 540, 513, 1032, 568, 5462, 676, 519, 2990, 540, 519, 3618, 538, 922, 10739, 1472, 519, 3141, 267, 1739, 519, 2242, 540, 519, 6607, 543, 519, 12405, 269, 11354, 4332, 267, 4832, 2208, 267, 15489, 7556, 543, 5162, 17230, 2992, 519, 4657, 4031, 540, 2916, 267, 4307, 1108, 543, 8103, 563, 6097, 547, 519, 3069, 540, 2575, 10103, 543, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 7428, 26263, 1108, 257, 607, 851, 540, 834, 2793, 307, 13543, 1315, 1530, 3517, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 1012, 15932, 5983, 7370, 281, 17423, 19029, 543, 2037, 14517, 4804, 692, 305, 24655, 7733, 616, 513, 2442, 3684, 1565, 5690, 1031, 585, 1312, 8760, 543, 9695, 4247, 269, 1358, 616, 513, 1826, 540, 26254, 1565, 1505, 267, 799, 10905, 2789, 1565, 6620, 547, 2087, 2773, 269, 769, 713, 3184, 267, 649, 786, 2263, 519, 1523, 540, 4351, 7733, 543, 875, 789, 666, 581, 1031, 585, 9695, 4247, 780, 2162, 17423, 19029, 692, 6524, 649, 4685, 883, 4351, 7733, 267, 1577, 781, 1101, 1174, 3375, 4054, 269, 17423, 4054, 616, 513, 1826, 540, 24892, 1565, 5690, 1031, 585, 8760, 543, 9695, 4247, 269, 1358, 960, 676, 16571, 1947, 15652, 532, 519, 4183, 2230, 883, 4130, 4525, 267, 609, 1142, 3148, 7222, 547, 513, 6978, 6843, 538, 519, 3529, 269, 634, 3804, 568, 547, 1711, 513, 3529, 602, 8308, 25221, 519, 3077, 4756, 1759, 593, 519, 3403, 2934, 780, 763, 1184, 540, 2679, 513, 3375, 3529, 3322, 8939, 519, 1655, 4183, 547, 8237, 593, 693, 1142, 6843, 267, 799, 568, 2944, 1210, 513, 21205, 971, 607, 23811, 610, 717, 7236, 791, 12053, 269, 4495, 519, 1655, 4183, 568, 5697, 267, 519, 1239, 568, 8237, 883, 1079, 610, 811, 29162, 1759, 593, 519, 4183, 781, 2418, 269, 901, 1184, 568, 7368, 16571, 1947, 2394, 513, 16069, 21205, 568, 1558, 267, 971, 607, 8757, 513, 5021, 3178, 610, 2348, 513, 5934, 1297, 540, 5439, 538, 513, 6978, 6843, 780, 2162, 2037, 14517, 4804, 692, 5319, 14517, 1565, 568, 513, 4480, 602, 10905, 2789, 1565, 6620, 547, 2087, 2773, 269, 634, 2856, 568, 602, 676, 9256, 519, 11236, 540, 2789, 3631, 267, 649, 666, 3035, 1732, 6111, 982, 1210, 513, 2582, 2203, 269, 1703, 616, 1896, 2010, 540, 26254, 1565, 2409, 267, 1519, 9126, 3101, 267, 20993, 267, 543, 10518, 532, 780, 305, 24655, 7733, 616, 513, 1826, 540, 26254, 1565, 1505, 602, 3096, 3375, 4054, 607, 519, 3490, 6267, 269, 634, 2856, 3297, 4351, 7733, 568, 547, 1628, 2789, 3375, 4054, 593, 1114, 29162, 540, 519, 1239, 543, 1287, 9192, 741, 11236, 547, 1118, 513, 3803, 12605, 269, 901, 2337, 547, 2569, 936, 7257, 1154, 543, 2087, 31633, 780, 2162, 15932, 5983, 7370, 585, 22953, 692, 305, 24655, 7733, 666, 581, 1031, 585, 1312, 8760, 543, 9695, 4247, 269, 769, 713, 3184, 267, 649, 786, 1445, 593, 1210, 4351, 7733, 585, 9695, 269, 634, 1184, 540, 2679, 513, 4351, 4104, 585, 9695, 568, 2147, 547, 2679, 513, 4351, 4104, 585, 8760, 267, 609, 513, 1906, 1883, 3604, 780, 5575, 267, 649, 991, 547, 1104, 519, 2556, 8021, 912, 3499, 7090, 454, 5814, 11885, 607, 5286, 454, 5814, 21267, 28272, 607, 12301, 454, 5228, 28189, 269, 1619, 18037, 1104, 15932, 20288, 560, 8802, 31395, 454, 8199, 9202, 267, 649, 786, 5352, 930, 546, 16244, 1239, 1210, 513, 20534, 1599, 609, 3773, 6846, 912, 3499, 7090, 454, 343, 815, 476, 1015, 2608, 5286, 20179, 20120, 263, 1911, 2020, 3698, 5609, 31200, 3287, 267, 29178, 284, 271, 269, 273, 2187, 825, 5727, 17653, 919, 546, 16244, 1239, 1210, 513, 20534, 1599, 609, 3773, 6846, 27969, 454, 825, 6846, 815, 29178, 2608, 5286, 20179, 20120, 333, 12759, 3287, 4917, 825, 2132, 5286, 4732, 514, 263, 276, 2608, 1535, 264, 1341, 5286, 4732, 514, 263, 271, 269, 276, 2608, 1535, 264, 1341, 6846, 692, 258, 2637, 4733, 586, 2418, 454, 344, 815, 5609, 31200, 3287, 2020, 258, 18140, 519, 1239, 454, 10823, 8807, 2682, 6600, 12127, 1125, 14352, 1626, 267, 476, 279, 4917, 10823, 269, 19587, 8663, 3287, 267, 586, 267, 476, 271, 269, 272, 267, 535, 31198, 8782, 334, 5073, 8199, 763, 1657, 3009, 12958, 476, 1911, 4351, 1535, 2418, 1063, 476, 271, 543, 476, 1015, 267, 543, 1287, 12958, 586, 2418, 1210, 513, 20534, 1599, 609, 3773, 6846, 269, 634, 4611, 1239, 568, 1287, 28367, 1210, 21267, 780, 9202, 267, 649, 786, 1628, 513, 4351, 4104, 1036, 31395, 1210, 476, 1911, 3375, 4054, 912, 3499, 7090, 454, 258, 2637, 4733, 1535, 2418, 585, 17501, 519, 2203, 454, 343, 7257, 815, 5286, 7456, 1231, 10628, 263, 271, 267, 476, 1015, 267, 476, 1911, 271, 2020, 258, 12706, 519, 4351, 4104, 1036, 31395, 454, 337, 325, 337, 815, 15932, 20288, 560, 8802, 31395, 3799, 318, 652, 574, 2209, 284, 1911, 2020, 258, 28546, 519, 2203, 547, 519, 1239, 454, 337, 325, 337, 32265, 3287, 18020, 5286, 269, 2908, 9471, 3910, 586, 2020, 258, 21023, 586, 2418, 585, 519, 1535, 7257, 2418, 454, 344, 7257, 815, 678, 325, 337, 4877, 9438, 3287, 7257, 18020, 5286, 269, 2908, 9471, 20285, 258, 2637, 4733, 586, 2418, 585, 519, 1535, 7257, 2418, 1210, 519, 3020, 20534, 1599, 454, 12682, 4902, 815, 5609, 31200, 3287, 7257, 267, 476, 271, 2020, 258, 18140, 519, 10567, 543, 3020, 586, 2418, 454, 10823, 8807, 2682, 6600, 12127, 1125, 14352, 1626, 267, 476, 279, 4917, 10823, 269, 19587, 8663, 3287, 267, 586, 267, 476, 271, 269, 272, 267, 535, 31198, 8782, 334, 5073, 10823, 19502, 3287, 7257, 267, 586, 7257, 267, 21029, 337, 5073, 10823, 19502, 3287, 7257, 267, 586, 25152, 267, 21029, 330, 3299, 13672, 284, 271, 269, 276, 994, 8199, 763, 1657, 3009, 12958, 1535, 2418, 585, 17501, 519, 2203, 1210, 5286, 7456, 1231, 10628, 267, 13976, 519, 4351, 4104, 1036, 31395, 1210, 15932, 20288, 560, 8802, 31395, 609, 476, 1911, 3375, 4054, 267, 13352, 519, 2203, 547, 519, 1239, 1210, 519, 3514, 1505, 267, 25221, 586, 2418, 585, 519, 1535, 7257, 2418, 1210, 519, 3589, 1505, 267, 12958, 586, 2418, 585, 519, 1535, 7257, 2418, 1210, 519, 3020, 20534, 1599, 267, 543, 1287, 13602, 519, 10567, 543, 3020, 586, 2418, 780, 2162, 10390, 692, 305, 24655, 7733, 616, 513, 3532, 3684, 1565, 5690, 602, 666, 581, 1031, 585, 1312, 8760, 543, 9695, 4247, 269, 1358, 960, 676, 2679, 2789, 3375, 4054, 593, 1114, 29162, 540, 519, 1239, 543, 1287, 9256, 741, 11236, 547, 1118, 513, 3803, 12605, 269, 769, 713, 3184, 267, 649, 8268, 519, 1523, 540, 4351, 7733, 543, 875, 789, 666, 581, 1031, 585, 9695, 4247, 269, 1284, 849, 4718, 875, 547 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 513, 8465, 6578, 267, 596, 4465, 1406, 3068, 1022, 971, 9993, 563, 268, 6052, 6165, 786, 849, 1404, 513, 2462, 1909, 538, 3803, 1944, 519, 1587, 5078, 585, 596, 269, 14597, 596, 1616, 547, 2569, 519, 10865, 10626, 12014, 269, 769, 602, 2013, 267, 596, 723, 547, 979, 609, 519, 2271, 749, 529, 1619, 610, 519, 30771, 762, 2011, 2783, 619, 1317, 789, 666, 5838, 5863, 2773, 855, 676, 10438, 8766, 1379, 563, 1607, 2376, 814, 4330, 3388, 596, 991, 547, 917, 827, 519, 1114, 2010, 540, 28860, 2011, 2783, 619, 543, 875, 789, 7500, 269, 4634, 1498, 519, 1297, 540, 2472, 2139, 538, 519, 2344, 568, 1447, 267, 596, 666, 798, 513, 2370, 3406, 593, 707, 1378, 543, 1205, 519, 1655, 8028, 602, 786, 2743, 782, 707, 4170, 269, 2290, 3364, 602, 596, 1590, 3314, 568, 602, 519, 17784, 267, 2271, 749, 529, 1619, 267, 543, 30771, 762, 28860, 4066, 616, 1942, 17067, 267, 543, 4061, 267, 596, 991, 547, 1902, 513, 5458, 2040, 540, 2724, 693, 519, 1482, 942, 269, 1809, 596, 666, 1118, 713, 5092, 2914, 20564, 1317, 707, 10865, 10626, 12014, 786, 1205, 4389, 676, 513, 2603, 936, 942, 269, 0, 292, 269, 15585, 1127, 599, 16019, 454, 27717, 14623, 281, 570, 269, 670, 848, 326, 11867, 267, 476, 6245, 276, 454, 19530, 539, 593, 1212, 701, 1957, 593, 835, 2427, 540, 5595, 3762, 267, 25649, 2899, 538, 5545, 2511, 563, 30153, 18912, 8941, 616, 7361, 6766, 676, 519, 4182, 779, 3909, 4978, 267, 1744, 20041, 543, 13221, 269, 901, 1433, 18991, 14550, 968, 763, 26626, 540, 519, 645, 16656, 12338, 614, 2223, 513, 1486, 334, 1606, 7220, 14070, 1650, 827, 513, 12357, 8004, 1572, 918, 16331, 5984, 945, 568, 4362, 607, 513, 4816, 3330, 519, 31537, 540, 513, 30437, 19348, 2030, 269, 634, 9661, 7389, 1394, 547, 519, 476, 1015, 628, 2540, 543, 568, 2808, 519, 9510, 31607, 5545, 18340, 2239, 269, 901, 568, 835, 540, 1896, 5545, 18912, 9661, 1212, 701, 1957, 2835, 538, 938, 4015, 269, 0, 763, 966, 797, 5622, 2334, 7642, 1684, 454, 2005, 779, 711, 1169, 1554, 602, 513, 966, 797, 5622, 17308, 612, 737, 6506, 596, 856, 540, 1200, 11454, 585, 6998, 827, 519, 4503, 2835, 540, 15584, 563, 3719, 607, 649, 11542, 538, 19257, 3554, 16422, 8643, 779, 966, 797, 5622, 20154, 13527, 538, 1715, 20252, 267, 6998, 827, 519, 4276, 1063, 966, 797, 5622, 543, 17194, 267, 1352, 8057, 811, 543, 811, 989, 18469, 563, 2108, 25898, 596, 979, 909, 547, 519, 15352, 543, 2307, 1864, 547, 2491, 547, 596, 9495, 1352, 4280, 269, 968, 4517, 2943, 596, 2097, 1934, 543, 2307, 803, 547, 2491, 28461, 2419, 600, 8643, 1185, 513, 2603, 593, 1200, 2247, 602, 1554, 269, 2701, 8604, 3226, 7255, 827, 519, 7077, 602, 1185, 5063, 1044, 8929, 1524, 936, 12907, 267, 543, 519, 535, 6856, 532, 5840, 6953, 24252, 2112, 563, 7661, 267, 8886, 730, 609, 519, 9228, 24735, 640, 540, 938, 2055, 267, 1352, 1175, 5143, 721, 547, 979, 563, 2171, 2451, 267, 669, 770, 2989, 855, 5462, 547, 2097, 1394, 269, 1284, 1185, 713, 3069, 602, 17194, 543, 966, 797, 5622, 616, 711, 20102, 12600, 2443, 543, 949, 1256, 2671, 3140, 5072, 563, 1607, 2376, 3323, 856, 607, 513, 24983, 269, 2201, 519, 1279, 5397, 547, 1715, 20252, 267, 14732, 19184, 539, 856, 281, 968, 25898, 333, 1406, 621, 581, 16168, 952, 649, 1223, 1265, 513, 6014, 4276, 547, 966, 797, 5622, 9495, 1284, 561, 13774, 1117, 563, 3080, 5616, 3406, 2663, 267, 649, 4121, 602, 8402, 2473, 4353, 779, 968, 24927, 3143, 597, 892, 2443, 513, 31885, 5921, 547, 10038, 4205, 1063, 10437, 543, 4961, 540, 519, 12733, 2443, 1185, 10288, 782, 519, 7642, 856, 540, 17039, 3592, 476, 4968, 1296, 3516, 269, 1809, 607, 649, 3323, 3695, 519, 2749, 267, 17194, 32708, 539, 856, 693, 1169, 2490, 563, 309, 797, 5622, 14787, 32515, 717, 663, 6504, 334, 1185, 8815, 547, 606, 5967, 609, 721, 693, 1010, 9036, 267, 519, 1715, 20252, 19866, 966, 797, 5622, 7467, 267, 799, 1010, 4651, 8547, 538, 476, 3192, 273, 269, 1809, 1175, 607, 649, 8452, 267, 513, 812, 609, 513, 2661, 13131, 20386, 1472, 1010, 8405, 630, 1492, 19044, 512, 6033, 264, 5483, 721, 602, 717, 663, 6504, 334, 1185, 8815, 693, 519, 2063, 8792, 547, 1291, 513, 968, 294, 10676, 12875, 1848, 14348, 649, 899, 547, 2097, 286, 8786, 267, 9811, 649, 1131, 563, 5978, 1895, 267, 16922, 6140, 540, 4993, 15185, 538, 3043, 1234, 20623, 758, 338, 267, 530, 913, 922, 1259, 998, 519, 3943, 22588, 269, 717, 663, 6504, 334, 11329, 856, 4609, 540, 1719, 267, 899, 519, 5449, 10553, 3046, 13715, 3773, 5196, 519, 1394, 540, 1533, 569, 5321, 267, 799, 2221, 1413, 811, 899, 9642, 2545, 935, 625, 563, 763, 2836, 4613, 2103, 14661, 741, 1471, 832, 538, 513, 13777, 850, 3801, 547, 3625, 856, 519, 1025, 3563, 532, 3141, 267, 1247, 717, 663, 6504, 334, 9415, 721, 547, 1921, 519, 15956, 269, 898, 729, 1934, 538, 891, 10553, 20453, 602, 642, 797, 5622, 19806, 15701, 538, 519, 1715, 2622, 563, 4517, 1175, 899, 519, 695, 629, 2421, 25778, 326, 902, 267, 717, 663, 6504, 334, 1767, 267, 968, 309, 797, 5622, 554, 1938, 538, 10750, 8289, 269, 2659, 4064, 1294, 1496, 527, 316, 855, 707, 2634, 3085, 1406, 3034, 763, 21236, 12514, 4945, 539, 267, 543, 649, 941, 593, 938, 1259, 563, 295, 14709, 6229, 814, 2634, 13195, 1117, 721, 950, 621, 2501, 547, 642, 797, 5622, 269, 634, 2262, 8580, 999, 909, 11876, 4486, 2592, 540, 7729, 30416, 267, 26481, 12738, 543, 3735, 5991, 697, 28200, 521, 2946, 1734, 269, 1809, 519, 5289, 2245, 267, 799, 12090, 538, 4639, 4000, 267, 814, 513, 1279, 543, 9808, 9853, 1686, 563, 1103, 5484, 514, 267, 13794, 26902, 5792, 631, 1177, 340, 6441, 13453, 267, 513, 18678, 5601, 17814, 607, 513, 1200, 332, 7469, 16967, 924, 13131, 269, 1809, 789, 9859, 741, 954, 947, 687, 998, 2539, 14326, 1634, 607, 3138, 320, 267, 5356, 873, 24279, 538, 519, 13922, 540, 4742, 22234, 563, 8072, 309, 797, 5622, 554, 1938, 538, 10750, 8289, 269, 2659, 4064, 1294, 621, 855, 707, 2634, 3085, 1406, 19028, 13563, 966, 797, 5622, 2443, 1644, 267, 855, 711, 9838, 547, 20951, 1014, 966, 617, 537, 2443, 7389, 1394, 547, 519, 10553, 4123, 269, 1879, 3979, 10437, 8452, 538, 17039, 547, 960, 593, 4006, 24914, 267, 789, 9738, 741, 1378, 5389, 1247, 5283, 3429, 873, 609, 1346, 13684, 676, 741, 3061, 832, 269, 4935, 267, 519, 3138, 320, 267, 1142, 609, 922, 1378, 1268, 320, 543, 1808, 10305, 267, 941, 25528, 5196, 7826, 25598, 269, 2334, 779, 875, 6181, 9346, 267, 1183, 4177, 540, 519, 6891, 7706, 267, 2968, 12142, 8834, 267, 8066, 519, 1883, 547, 519, 19235, 540, 24656, 563, 2108, 2791, 666, 1406, 723, 602, 2462, 540, 513, 2551, 1510, 513, 12760, 2223, 717, 663, 6504, 334, 6045, 269, 968, 2467, 568, 1100, 4655, 609, 1373, 1312, 7826, 543, 966, 797, 5622, 3034, 10501, 1190, 267, 649, 4280, 1864, 952, 1022, 824, 10764, 1185, 2147, 4205, 609, 642, 797, 5622, 269, 968, 18744, 835, 281, 17194, 3034, 1103, 1249, 267, 717, 663, 6504, 334, 4682, 593, 267, 1875, 4211, 987, 4301, 642, 797, 5622, 9439, 538, 1715, 20252, 1745, 513, 1880, 4276, 609, 7642, 269, 8672, 532, 547, 513, 13400, 2245, 602, 6257, 15584, 685, 7385, 570, 345, 2089, 528, 1695, 607, 513, 3109, 4807, 267, 789, 3494, 519, 7008, 779, 5067, 623, 996, 549, 729, 519, 2062, 15289, 540, 519, 4639, 3979, 15888, 540, 642, 797, 5622, 269, 1284, 941, 513, 2370, 26617, 267, 855, 717, 663, 6504, 334, 18056, 721, 602, 15584, 685, 5234, 28020, 5828, 883, 513, 13131, 267, 24188, 540, 631, 1177, 340, 6441, 13453, 563, 26170, 711, 18617, 269, 1809, 1287, 717, 663, 6504, 334, 5018, 519, 968, 338, 1460, 628, 267, 18749, 543, 21632, 2835, 540, 15584, 892, 2443, 5728, 642, 797, 5622, 3524, 1564, 547, 519, 19999, 622, 1276, 269, 17166, 1018, 888, 5804, 519, 9754, 267, 649, 18188, 547, 519, 2025, 12142, 8402, 30895, 267, 12183, 24887, 519, 968, 30949, 540, 519, 16458, 1848, 1306, 649, 803, 663, 1229, 998, 519, 9343, 540, 30401, 267, 717, 663, 6504, 334, 5018, 1010, 1390, 3766, 805, 3766, 805, 3766, 8681, 15948, 267, 12756, 4165, 8205, 3752, 529, 586, 3212, 637, 267, 968, 1492, 1101, 2443, 543, 1152, 2443, 4035, 547, 581, 12617, 1496, 1877, 316, 1848, 717, 663, 6504, 334, 4362, 1010, 6014, 2250, 1247, 15388, 3212, 637, 267, 513, 21888, 11219, 1168, 689, 519, 3312, 6014, 1920, 538, 17039, 267, 945, 729, 12617, 538, 476, 9965, 280, 267, 519, 1032, 519, 28200, 729, 8547, 563, 763, 12142, 8402, 30895, 849, 4249, 3984, 547, 519, 19772, 540, 966, 797, 5622, 15596, 21322, 700, 1511, 879, 269, 26419, 267, 621, 779, 811, 540, 513, 695, 9068, 269, 645, 1737, 539, 631, 31651, 6182, 553, 8405, 331, 2167, 282, 7524, 5810, 27315, 1154, 538, 519, 3141, 282, 4508, 528, 14569, 282, 10269, 282, 22250, 282, 1989, 529, 3766, 5142, 11435, 282, 31119, 282, 13212, 2443, 621, 6743, 899, 2997, 22567, 30225, 793, 324, 779, 8709, 640, 3349, 269, 634, 19772, 3294, 729, 4988, 538, 519, 22782, 540, 700, 1511, 879, 779, 13794, 267, 930, 540, 7247, 1223, 711, 2328, 543, 865, 759, 9285, 547, 1085, 3863, 1782, 2473, 779, 547, 1118, 741, 1665, 269, 901, 1289, 15572, 545, 2245, 5170, 2443, 1631, 538, 11909, 1350, 7867, 563, 2171, 1142, 1500, 513, 6999, 269, 1280, 721, 607, 7642, 267, 621, 5433, 513, 2370, 5485, 686, 5586, 1190, 269, 1809, 1287, 1586, 267, 729, 621, 2731, 865, 1114, 689, 32467, 693, 519, 19772, 540, 513, 14558, 328, 888, 763, 1234, 20623, 12097, 2836, 4613, 2103, 10294, 602, 789, 941, 3735, 585, 12129, 630, 527, 729, 683, 2130, 476, 276, 533, 6230, 4700, 543, 18188, 1055, 267, 6028, 717, 663, 6504, 334, 1863, 547, 6338, 721, 547, 1079, 540, 1010, 2828, 281, 519, 966, 797, 5622, 17308, 612, 525, 595, 20792, 4563, 543, 966, 643, 10005, 5548, 541, 6242, 563, 2171, 2893, 1524, 609, 873, 538, 519, 1330, 1399, 731, 3297, 519, 966, 797, 5622, 7467, 269, 20290, 5612, 267, 649, 27433, 936, 28763, 4472, 1695, 563, 5475, 7713, 938, 1719, 538, 519, 17194, 13305, 797, 5622, 4276, 267, 649, 4280, 952, 519, 1395, 6139, 1143, 540, 835, 17591, 338, 519, 1082, 14326, 540, 519, 824, 563, 2108, 5591, 267, 711, 693, 782, 2223, 5548, 541, 6242, 12943, 269, 968, 1103, 519, 28763, 4472, 1695, 267, 596, 849, 723, 519, 5256, 543, 4775, 5011, 540, 2696, 3034, 306, 580, 531, 267, 4171, 4651, 568, 513, 5449, 7548, 540, 6014, 7793, 6291, 267, 21330, 25525, 3585, 269, 2290, 540, 519, 3844, 2934, 540, 10120, 28763, 4472, 1695, 568, 519, 10326, 540, 5020, 267, 513, 1895, 540, 476, 1015, 10305, 602, 2696, 1031, 547, 1711, 519, 7122, 2443, 3368, 540, 799, 616, 5256, 543, 3368, 540, 799, 616, 4775, 269, 901, 12242, 3766, 25311, 2856, 540, 2820, 6541, 568, 607, 4909, 547, 25386, 17194, 607, 519, 1200, 332, 7469, 16967, 924, 631, 1177, 340, 6441, 13453, 568, 547, 966, 797, 5622, 269, 5637, 5132, 338, 2671, 513, 2245, 540, 3818, 13109, 1369, 9322, 563, 309, 797, 5622, 9439, 267, 5548, 541, 6242, 3773, 267, 723, 968, 3598, 2740, 547, 3082, 543, 6451, 519, 1883, 10305, 540, 1142, 4984, 2223, 543, 2818, 540, 1346, 824, 10764, 666, 2631, 602, 269, 2701, 1767, 12356, 543, 7642, 4749, 7390, 1200, 966, 797, 5622, 18428, 538, 9628, 563, 14937, 267, 4171, 22516, 729, 513, 23837, 14012, 267, 1031, 1200, 1378, 3909, 4282, 547, 6961, 519, 1448, 827, 966, 797, 5622, 269, 968, 2005, 779, 513, 4984, 602, 568, 1360, 8537, 267, 543, 711, 12600, 2223, 1352, 1767, 563, 11767, 532, 590, 718, 773, 7788, 19371, 2006, 779, 966, 797, 5622, 6300, 568, 899, 588, 22824, 883, 513, 670, 690, 342, 11301, 1494, 687, 7484, 4580, 8854, 3552, 630, 7224, 581, 15605, 541, 267, 855, 2673, 1040, 634, 6821, 616, 20898, 609, 4837, 30660, 5627, 9632, 9440, 267, 15743, 779, 1973, 267, 26881, 779, 804, 1177, 267, 18367, 4532, 1619, 543, 554, 903, 338, 641, 269, 1809, 789, 2461, 849, 12297, 1540, 609, 6014, 6698, 267, 689, 11344, 554, 4461, 553, 547, 993, 2544, 1206, 530, 8973, 1055, 519, 9409, 3750, 269, 1656, 267, 3138, 543, 1531, 1245, 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 ]
[ 269, 4690, 267, 2011, 19057, 267, 543, 741, 5520, 269, 0, 6124, 15262, 2337, 11177, 1686, 540, 24607, 16047, 454, 288, 4074, 540, 2648, 3357, 547, 2927, 819, 4505, 713, 3923, 950, 519, 2142, 2851, 7467, 18799, 519, 21048, 4979, 540, 519, 24607, 16047, 8978, 15262, 593, 4239, 269, 476, 273, 563, 5629, 4092, 593, 519, 3135, 540, 1459, 1554, 670, 13860, 5244, 267, 24607, 16047, 568, 5156, 547, 581, 8419, 781, 1101, 3979, 1977, 11824, 18992, 269, 5853, 539, 676, 8361, 25035, 2401, 267, 7022, 540, 519, 8419, 5101, 11076, 24020, 267, 621, 8118, 1472, 476, 5002, 271, 607, 513, 1747, 1141, 25035, 2401, 781, 4563, 5520, 1223, 6108, 741, 16837, 942, 267, 1519, 1346, 945, 5280, 1628, 1010, 25550, 23392, 563, 26222, 17822, 941, 5302, 27935, 693, 519, 942, 267, 538, 5329, 609, 3084, 267, 6237, 543, 2199, 13343, 18844, 4031, 269, 19402, 519, 3735, 476, 4350, 271, 338, 267, 24607, 16047, 729, 519, 1152, 1612, 4897, 540, 32132, 538, 519, 12722, 6807, 268, 19327, 602, 729, 1930, 547, 3979, 4892, 563, 19322, 339, 1415, 595, 2129, 650, 267, 5449, 12314, 8689, 540, 519, 2142, 2851, 7467, 1299, 3778, 5244, 267, 3459, 20857, 883, 519, 1686, 540, 24607, 16047, 538, 476, 1001, 278, 267, 950, 1352, 729, 513, 10927, 2875, 14734, 1681, 538, 1686, 693, 6167, 293, 269, 2701, 1419, 9447, 1857, 15872, 1759, 593, 1200, 1382, 563, 24281, 476, 1001, 280, 267, 594, 2813, 513, 10707, 8858, 1496, 21406, 316, 1412, 13434, 1478, 532, 24607, 16047, 281, 8419, 781, 3689, 3979, 1977, 16047, 1763, 677, 538, 519, 21540, 27935, 3162, 3299, 998, 513, 11450, 1063, 519, 2142, 2851, 7467, 543, 519, 12722, 6807, 5398, 7732, 2142, 2851, 25032, 2437, 1352, 1767, 269, 834, 30952, 602, 1482, 1032, 267, 594, 6591, 13170, 689, 519, 4975, 540, 12722, 6807, 543, 519, 3557, 540, 8419, 547, 1747, 513, 3140, 15262, 693, 519, 3135, 540, 24607, 16047, 4799, 1103, 1200, 4633, 693, 519, 21048, 4979, 267, 595, 2129, 650, 1644, 875, 1352, 729, 6273, 547, 7832, 593, 519, 1788, 1310, 2542, 834, 2080, 568, 7316, 281, 24531, 3013, 779, 4279, 1280, 326, 13516, 3778, 2437, 513, 1433, 676, 12448, 2961, 2651, 3370, 538, 476, 1001, 275, 269, 589, 5618, 6643, 609, 1200, 7025, 3778, 7548, 1472, 713, 1482, 942, 849, 13351, 1753, 563, 257, 3891, 1767, 267, 543, 594, 6415, 22950, 337, 2084, 1934, 267, 1412, 2005, 781, 25031, 602, 519, 4527, 540, 670, 13860, 5244, 25848, 999, 519, 1686, 540, 24607, 16047, 262, 2437, 1767, 595, 2129, 650, 269, 834, 3528, 713, 942, 267, 594, 1185, 5030, 538, 519, 12722, 6807, 1858, 1175, 21183, 540, 476, 3374, 1296, 543, 594, 1185, 2760, 4862, 540, 24607, 16047, 4799, 15987, 519, 1788, 729, 9516, 538, 476, 1001, 280, 267, 519, 5046, 268, 866, 6855, 4843, 9465, 267, 23646, 519, 21753, 543, 10380, 1184, 269, 634, 3355, 1544, 1185, 1044, 547, 21048, 559, 519, 15262, 538, 2038, 476, 1708, 271, 267, 855, 960, 1922, 668, 25571, 9753, 543, 824, 3106, 10873, 2322, 602, 1544, 593, 3180, 563, 5629, 519, 15262, 729, 2965, 8704, 267, 595, 2129, 650, 543, 824, 9754, 8387, 31372, 2394, 621, 729, 16363, 2922, 547, 5531, 13964, 1354, 16475, 519, 21048, 4979, 16008, 563, 1103, 20343, 693, 519, 2680, 941, 10199, 476, 1839, 18939, 540, 27963, 14355, 267, 513, 7986, 24607, 16047, 1870, 2006, 269, 1261, 11262, 543, 13234, 27963, 781, 9255, 2443, 606, 10661, 602, 3177, 29295, 906, 267, 9913, 267, 28876, 9290, 10519, 1023, 543, 811, 563, 14367, 3993, 267, 3687, 969, 320, 14355, 267, 729, 4535, 883, 8474, 593, 519, 667, 559, 10290, 7233, 566, 538, 519, 8419, 7754, 8518, 548, 269, 2991, 31414, 267, 519, 14355, 1920, 5555, 12306, 538, 519, 5487, 309, 8759, 8378, 540, 12722, 6807, 563, 7197, 1336, 960, 609, 519, 16456, 543, 519, 1920, 5555, 9715, 741, 24607, 16047, 3959, 689, 8361, 25035, 2401, 781, 2904, 1636, 12910, 1400, 7577, 607, 621, 3459, 547, 6133, 1055, 930, 540, 922, 2244, 3180, 902, 269, 634, 1920, 729, 1851, 519, 2063, 3180, 8083, 538, 519, 3068, 540, 4550, 5174, 331, 871, 10168, 543, 3395, 2604, 547, 10205, 741, 3409, 547, 519, 2244, 563, 6097, 547, 595, 2129, 650, 267, 519, 3210, 689, 519, 14355, 1920, 729, 11566, 569, 2318, 563, 257, 9961, 519, 1788, 267, 14355, 781, 1178, 2738, 517, 267, 26366, 996, 2274, 306, 525, 928, 543, 14355, 781, 1390, 3766, 8681, 5991, 19991, 267, 3220, 269, 962, 341, 517, 928, 670, 6506, 2443, 1312, 12722, 6807, 7264, 2443, 6462, 1250, 1382, 543, 941, 11358, 538, 19286, 908, 27963, 14355, 781, 1909, 538, 519, 1686, 540, 24607, 16047, 2437, 1767, 595, 2129, 650, 563, 8867, 306, 525, 928, 543, 1079, 824, 1178, 2738, 976, 267, 29733, 14355, 543, 7812, 14355, 267, 941, 593, 1688, 547, 7198, 519, 15262, 781, 21048, 4979, 269, 9835, 323, 5922, 11870, 320, 4873, 14355, 16026, 540, 17857, 4975, 729, 8572, 547, 7390, 267, 855, 1185, 1044, 538, 2834, 3346, 3842, 4757, 547, 4217, 609, 519, 1788, 563, 9515, 1705, 267, 2705, 267, 3717, 27145, 540, 1200, 22516, 950, 11488, 1200, 1036, 28905, 585, 519, 8317, 267, 543, 595, 2129, 650, 3838, 621, 609, 28752, 1282, 519, 21048, 4979, 563, 257, 262, 296, 7184, 26845, 711, 1373, 1459, 585, 713, 8748, 8317, 547, 8956, 1250, 22516, 267, 27963, 6276, 14355, 269, 898, 2337, 1491, 2476, 519, 29097, 540, 519, 21440, 646, 11124, 1346, 1082, 1296, 3516, 269, 1261, 1572, 803, 1010, 968, 28012, 19529, 1228, 324, 892, 543, 538, 1250, 2295, 594, 917, 646, 786, 1745, 1250, 6891, 609, 1864, 950, 646, 568, 865, 3810, 28165, 609, 713, 15799, 9538, 257, 0, 306, 663, 10435, 6713, 540, 29154, 4565, 9693, 454, 763, 25865, 4565, 9693, 568, 10480, 883, 519, 10265, 8302, 693, 513, 3586, 3432, 676, 513, 31954, 28680, 269, 634, 10265, 8302, 10199, 9397, 519, 25865, 4565, 9693, 1394, 543, 8521, 998, 519, 3845, 1063, 519, 3001, 10265, 543, 519, 11979, 10265, 269, 769, 519, 8302, 267, 519, 25865, 4565, 9693, 568, 2417, 29656, 16760, 676, 519, 1689, 538, 519, 3845, 1063, 519, 3001, 13409, 543, 519, 11979, 13409, 540, 519, 13409, 8302, 538, 519, 11493, 13570, 269, 634, 796, 23974, 1881, 3283, 616, 8120, 547, 519, 17453, 13409, 8302, 269, 634, 29656, 5258, 890, 6277, 956, 616, 6569, 689, 519, 5070, 11067, 3684, 543, 1287, 2366, 547, 519, 623, 11862, 3126, 5070, 1818, 3684, 585, 8860, 676, 519, 23740, 269, 634, 5070, 1818, 3684, 786, 581, 9268, 1586, 269, 634, 11727, 835, 568, 519, 25865, 4565, 9693, 5070, 14919, 269, 13575, 267, 519, 14919, 2504, 1899, 585, 5070, 543, 18574, 3622, 3096, 281, 10265, 8302, 1765, 11069, 716, 8302, 1765, 935, 673, 8302, 1765, 338, 663, 1818, 3684, 543, 824, 3937, 269, 28161, 606, 3390, 547, 581, 2808, 538, 2504, 1899, 1374, 563, 272, 269, 1280, 7725, 609, 1164, 21052, 267, 596, 666, 3442, 10265, 8302, 1341, 13409, 8302, 1341, 32291, 269, 634, 2601, 1946, 5070, 8302, 568, 5697, 568, 1317, 519, 13409, 8302, 814, 811, 8930, 6438, 27960, 1310, 11493, 269, 3371, 267, 519, 5070, 1818, 3684, 568, 5227, 547, 946, 623, 11862, 1764, 5070, 1818, 3684, 609, 7833, 9325, 2450, 543, 1434, 11493, 1198, 563, 273, 269, 1280, 14680, 267, 9793, 21052, 4994, 267, 6149, 2504, 1899, 267, 596, 666, 3442, 10265, 8302, 1341, 1764, 8302, 267, 998, 6281, 11493, 267, 519, 1570, 666, 3035, 519, 5551, 1198, 563, 299, 340, 1195, 836, 667, 1695, 7699, 24581, 12752, 3163, 543, 5303, 2910, 1421, 700, 31813, 269, 568, 606, 5140, 10672, 538, 519, 12227, 2872, 269, 1403, 2556, 267, 596, 616, 10950, 547, 3643, 519, 12051, 563, 2690, 811, 1344, 267, 596, 666, 4945, 281, 8940, 269, 569, 323, 327, 322, 6350, 615, 2593, 454, 28095, 9137, 16088, 7072, 540, 26836, 19783, 7392, 543, 26836, 19783, 14502, 20368, 2678, 454, 9202, 9137, 281, 13198, 1195, 836, 667, 1695, 7699, 19783, 979, 13383, 547, 5333, 0, 4415, 519, 27147, 540, 1079, 3653, 4015, 6472, 6220, 4492, 1591, 2029, 267, 519, 4975, 540, 6301, 345, 568, 11488, 513, 2312, 5365, 585, 513, 1970, 3327, 543, 4264, 2104, 269, 4340, 547, 7083, 26302, 661, 17331, 267, 6808, 568, 3743, 585, 513, 1164, 8167, 540, 2916, 1673, 600, 1645, 8511, 3154, 5434, 267, 799, 723, 1256, 2799, 936, 2487, 1296, 543, 281, 968, 1607, 1590, 581, 25525, 3585, 10692, 1996, 3034, 1103, 4395, 540, 519, 20457, 540, 519, 744, 7322, 518, 670, 1993, 267, 7083, 26302, 7812, 661, 17331, 267, 7812, 8000, 628, 770, 630, 17582, 15440, 17904, 2598, 27760, 264, 607, 1134, 607, 4460, 639, 667, 2246, 1069, 2335, 630, 10048, 1771, 2910, 302, 2098, 7238, 28705, 11860, 23124, 717, 3387, 295, 1070, 7338, 700, 2089, 731, 339, 630, 313, 7238, 28705, 11860, 23124, 717, 3387, 295, 270, 8605, 5004, 17904, 14635, 30863, 264, 607, 1134, 607, 2494, 3241, 5576, 18283, 630, 289, 13361, 15440, 2098, 7238, 28705, 11860, 23124, 717, 3387, 295, 1070, 4843, 519, 1007, 7250, 6174, 540, 519, 3653, 12871, 2754, 540, 519, 4975, 540, 6301, 345, 593, 476, 1556, 4864, 563, 293, 3241, 1591, 2029, 568, 606, 4998, 3070, 585, 5010, 6472, 971, 607, 891, 3653, 4015, 6472, 267, 799, 991, 547, 3382, 1279, 9883, 267, 14771, 3653, 543, 581, 3533, 1201, 340, 8215, 1282, 741, 3232, 3028, 4238, 563, 26589, 609, 12670, 267, 6154, 756, 4026, 267, 1234, 583, 1782, 523, 267, 645, 773, 548, 26709, 543, 4425, 577, 636, 267, 6301, 345, 568, 835, 540, 519, 1101, 4872, 538, 5125, 547, 11766, 30788, 13324, 3653, 4015, 6472, 609, 4492, 2281, 269, 634, 946, 540, 2417, 4492, 1591, 6472, 585, 3653, 4015, 568, 2907, 9709, 269, 6301, 345, 786, 3976, 1831, 606, 1271, 22082, 538, 519, 1533, 540, 10910, 514, 14657, 6261, 531, 520, 3729, 267, 799, 786, 23248, 581, 5702, 4553, 676, 1082, 824, 25772, 563, 288, 2101, 5413, 540, 713, 2029, 568, 602, 891, 6472, 2951, 609, 513, 4130, 543, 3976, 14402, 6007, 269, 901, 1797, 602, 519, 31139, 568, 711, 4299, 269, 1403, 519, 6007, 779, 12123, 1377, 12772, 267, 519, 4492, 1591, 7727, 519, 2838, 5201, 269, 2991, 519, 1439, 540, 519, 3653, 4015, 3460, 267, 519, 6174, 9075, 616, 556, 12737, 539, 593, 519, 2754, 12406, 1210, 5201, 689, 519, 2754, 779, 1378, 3859, 1379, 1062, 563, 763, 27147, 540, 519, 7250, 6472, 568, 1373, 6462, 676, 519, 8549, 12080, 540, 13255, 543, 7913, 24486, 1369, 519, 5943, 540, 519, 11272, 22994, 1006, 8750, 532, 10842, 5202, 609, 513, 2698, 540, 476, 3445, 2600, 540, 519, 3606, 3790, 3379, 547, 513, 6174, 609, 513, 6671, 5397, 1062, 269, 634, 7616, 23988, 568, 20291, 676, 715, 8582, 717, 3387, 295, 543, 8045, 676, 5741, 5004, 808, 6686, 28727, 630, 303, 339, 297, 1916, 763, 8693, 10466, 9457, 4643, 15440, 267, 667, 25184, 700, 10594, 689, 519, 20088, 543, 5113, 4972, 729, 15747, 538, 7598, 519, 7616, 3785, 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 ]
[ 264, 2968, 32014, 269, 7324, 5667, 330, 2683, 2978, 537, 516, 3464, 267, 513, 2362, 6871, 540, 2021, 630, 4029, 829, 1298, 264, 982, 2367, 630, 736, 829, 1298, 264, 2968, 32014, 269, 15788, 267, 676, 4571, 268, 1708, 271, 267, 2066, 23909, 267, 513, 2362, 6871, 540, 2021, 7283, 32014, 282, 543, 513, 2362, 6871, 540, 2367, 982, 2021, 945, 4503, 960, 1185, 1336, 14595, 7694, 563, 1103, 3735, 4989, 476, 1708, 271, 267, 519, 14889, 302, 6059, 602, 476, 272, 269, 277, 5479, 1004, 941, 6964, 538, 519, 13016, 4346, 538, 519, 1158, 269, 1306, 1082, 607, 476, 3199, 829, 1298, 540, 519, 2518, 13016, 13781, 543, 5176, 3368, 540, 519, 2698, 2518, 13781, 1107, 1223, 1294, 741, 24454, 10032, 1813, 547, 519, 7771, 538, 960, 267, 2324, 3108, 543, 15271, 4547, 593, 676, 9376, 23957, 610, 824, 9993, 547, 26193, 519, 3262, 540, 13044, 268, 866, 269, 634, 14889, 302, 6059, 602, 267, 1282, 519, 1101, 3923, 540, 519, 6433, 267, 13016, 4600, 11451, 4810, 513, 476, 2568, 829, 1298, 6749, 538, 4747, 281, 811, 982, 606, 476, 3199, 829, 1298, 7771, 538, 4000, 543, 519, 17113, 267, 476, 3583, 829, 1298, 538, 2342, 543, 6239, 5607, 267, 543, 476, 2420, 829, 1298, 538, 5607, 543, 519, 7414, 267, 10452, 519, 943, 1078, 3262, 540, 519, 3644, 2066, 891, 4525, 630, 296, 321, 573, 281, 476, 272, 268, 273, 1040, 4595, 1287, 267, 513, 3395, 1560, 540, 2090, 593, 519, 1764, 540, 519, 5046, 268, 866, 6433, 593, 13016, 4600, 814, 9672, 519, 14889, 302, 12605, 563, 763, 2518, 1382, 1790, 32123, 268, 9146, 3060, 910, 519, 6468, 538, 22252, 531, 25477, 281, 6820, 1944, 543, 5029, 1944, 630, 310, 296, 9680, 302, 264, 2487, 2324, 14430, 4183, 593, 519, 1764, 540, 519, 5046, 268, 866, 6433, 593, 13016, 4600, 538, 476, 1556, 4872, 2066, 476, 276, 4525, 540, 519, 1158, 630, 2026, 807, 267, 4000, 267, 5824, 3013, 267, 3345, 3013, 543, 8109, 2342, 264, 593, 1114, 9922, 540, 13016, 4600, 269, 634, 4681, 689, 519, 654, 296, 9680, 302, 21445, 476, 1556, 2275, 640, 1353, 6166, 267, 1101, 543, 19466, 267, 602, 519, 1764, 540, 519, 6433, 593, 519, 2702, 540, 13016, 4600, 547, 960, 729, 8101, 269, 769, 4989, 476, 1708, 271, 267, 1282, 8445, 9376, 23957, 610, 9993, 267, 476, 10619, 829, 1298, 540, 13016, 4600, 941, 711, 2111, 547, 960, 269, 1635, 4571, 268, 1708, 271, 267, 950, 519, 9376, 23957, 610, 9993, 1185, 1044, 552, 1078, 547, 930, 4110, 267, 476, 2641, 829, 1298, 540, 13016, 4600, 941, 1869, 711, 2111, 547, 960, 282, 543, 519, 3328, 2395, 540, 960, 829, 3018, 543, 15271, 540, 1346, 2111, 547, 960, 941, 2539, 982, 538, 5988, 476, 1708, 271, 630, 2181, 4211, 10604, 268, 866, 1916, 1103, 16273, 267, 2090, 1265, 519, 9838, 1764, 593, 13016, 5823, 540, 13044, 268, 866, 269, 589, 4745, 1353, 676, 519, 5295, 543, 30880, 3194, 10418, 630, 303, 11266, 290, 264, 543, 519, 19836, 3722, 4659, 540, 26291, 543, 4886, 630, 289, 5456, 291, 264, 6059, 519, 1764, 540, 519, 6855, 543, 9376, 23957, 593, 519, 1292, 2707, 540, 7622, 4747, 267, 7622, 4747, 2157, 543, 1426, 3354, 538, 476, 278, 267, 26951, 10820, 538, 4989, 543, 538, 4571, 268, 1708, 271, 267, 3379, 547, 5988, 476, 1708, 271, 630, 2181, 4211, 10604, 268, 866, 1040, 634, 1353, 1336, 513, 27290, 7771, 538, 2804, 2238, 538, 4989, 267, 2523, 538, 519, 4683, 2127, 267, 799, 1185, 4824, 14320, 676, 4571, 268, 1708, 271, 267, 1310, 519, 7453, 27579, 1185, 1044, 552, 1078, 2676, 24392, 711, 547, 840, 4211, 10604, 268, 866, 2157, 269, 15788, 267, 676, 4571, 268, 1708, 271, 267, 476, 10602, 829, 1298, 540, 1312, 6917, 543, 4683, 10820, 941, 2111, 547, 16056, 741, 1292, 840, 4211, 10604, 268, 866, 2707, 540, 960, 267, 476, 278, 829, 1298, 1185, 17146, 547, 1776, 1899, 540, 960, 543, 476, 1704, 829, 1298, 941, 711, 2111, 547, 960, 563, 8448, 2090, 1265, 602, 519, 4110, 610, 4336, 540, 1764, 538, 16273, 9867, 1063, 6101, 543, 13016, 7694, 543, 267, 1369, 13016, 7694, 267, 676, 968, 21232, 566, 6100, 8409, 10820, 602, 31030, 5631, 593, 6101, 960, 1107, 12051, 960, 610, 2892, 926, 539, 6009, 1107, 11124, 519, 2547, 1764, 593, 7694, 538, 519, 1292, 2707, 540, 7622, 4747, 630, 24992, 476, 1626, 543, 476, 1240, 829, 1298, 1040, 23582, 4600, 11124, 519, 8325, 652, 7771, 538, 7694, 281, 936, 3368, 630, 7918, 829, 1298, 264, 7283, 32014, 538, 4571, 268, 1708, 271, 267, 1247, 5667, 330, 2683, 2978, 537, 516, 3464, 11124, 513, 476, 736, 829, 1298, 2333, 538, 13864, 269, 634, 5354, 540, 1346, 945, 4957, 23909, 1336, 960, 607, 5667, 330, 2683, 2978, 537, 516, 3464, 267, 3622, 15980, 1447, 982, 789, 1705, 538, 741, 840, 4211, 10604, 268, 866, 13567, 269, 23897, 1343, 540, 1163, 27074, 622, 4600, 8120, 689, 13383, 849, 6443, 519, 32014, 4600, 543, 513, 851, 540, 873, 8678, 9864, 6694, 960, 609, 741, 1920, 543, 2813, 6456, 13864, 563, 1103, 16273, 6469, 4600, 267, 616, 15866, 4775, 269, 7324, 519, 824, 2516, 540, 4600, 267, 972, 941, 1713, 3604, 1063, 2021, 543, 2367, 269, 7324, 1507, 1870, 5411, 267, 513, 2362, 6871, 540, 2021, 630, 1626, 829, 1298, 264, 982, 2367, 630, 1015, 829, 1298, 264, 2968, 32014, 269, 1656, 267, 1851, 5667, 330, 2683, 2978, 537, 516, 3464, 267, 513, 2362, 6871, 540, 2021, 630, 4029, 829, 1298, 264, 982, 2367, 630, 736, 829, 1298, 264, 2968, 32014, 269, 15788, 267, 676, 4571, 268, 1708, 271, 267, 2066, 23909, 267, 513, 2362, 6871, 540, 2021, 7283, 32014, 282, 543, 513, 2362, 6871, 540, 2367, 982, 2021, 945, 4503, 960, 1185, 1336, 14595, 7694, 563, 763, 16273, 9183, 5267, 602, 972, 729, 968, 338, 22658, 6051, 540, 2804, 2534, 892, 855, 1152, 968, 320, 9793, 6051, 540, 26038, 892, 676, 4571, 268, 1708, 271, 1310, 513, 10565, 7771, 538, 4989, 269, 1703, 729, 513, 1713, 3017, 1063, 519, 4747, 9156, 625, 540, 10820, 4171, 1292, 2707, 540, 4747, 729, 6101, 960, 1107, 12051, 960, 543, 2892, 926, 539, 6009, 1107, 543, 10820, 4171, 1292, 2707, 540, 4747, 729, 824, 630, 10852, 569, 13016, 264, 23909, 269, 1280, 1383, 267, 519, 4747, 540, 10820, 267, 799, 31030, 5097, 593, 519, 15271, 540, 12051, 4600, 543, 2892, 926, 539, 2816, 6868, 267, 1185, 16626, 547, 476, 10019, 829, 1298, 543, 476, 11025, 829, 1298, 2676, 27920, 1947, 267, 6466, 519, 4747, 540, 10820, 799, 16941, 5097, 593, 519, 4747, 540, 3560, 4600, 543, 5667, 330, 2683, 2978, 537, 516, 3464, 1185, 16626, 547, 1472, 476, 7367, 829, 1298, 563, 1103, 1931, 547, 6051, 540, 11615, 3226, 538, 3384, 2477, 899, 16273, 267, 1101, 569, 267, 519, 3510, 538, 6101, 5823, 1058, 581, 5918, 569, 18931, 543, 7525, 3268, 1058, 581, 3144, 547, 2149, 543, 1489, 1346, 4600, 543, 741, 24454, 269, 16273, 2229, 814, 2883, 10148, 3823, 5356, 17003, 6666, 1489, 547, 519, 13016, 4600, 610, 741, 12820, 269, 634, 3892, 9055, 849, 723, 1082, 2591, 543, 949, 31818, 547, 19888, 6326, 1004, 563, 5278, 20033, 8041, 723, 2907, 21248, 7482, 585, 519, 10325, 540, 5491, 10018, 10325, 585, 9049, 10933, 338, 1312, 538, 6101, 543, 13016, 9922, 269, 634, 3609, 540, 16273, 7813, 543, 10182, 540, 5010, 8492, 723, 1082, 2591, 547, 7753, 3823, 891, 15961, 269, 1358, 2154, 513, 1689, 538, 2247, 1606, 564, 543, 2797, 786, 547, 5431, 519, 6433, 543, 21483, 3070, 269, 1703, 1058, 513, 6284, 602, 13016, 4600, 543, 741, 17612, 2238, 2099, 519, 3376, 3490, 540, 519, 4346, 6721, 1898, 5370, 543, 2533, 711, 1152, 585, 1970, 13867, 5561, 855, 849, 585, 519, 2489, 1857, 543, 585, 519, 6101, 4346, 563, 763, 5856, 568, 513, 3656, 30168, 269, 1261, 666, 581, 30409, 693, 1496, 16942, 6870, 316, 0, 2791, 723, 547, 1174, 602, 707, 1909, 568, 513, 4116, 269, 1473, 6510, 875, 891, 2591, 723, 4299, 519, 1367, 543, 875, 513, 7180, 1489, 1544, 1223, 7520, 606, 4824, 2298, 540, 1272, 563, 2412, 15474, 10263, 8081, 4643, 22276, 16803, 680, 2120, 532, 769, 476, 1708, 272, 10263, 8081, 12697, 15474, 10263, 8081, 15474, 10263, 454, 288, 645, 9915, 2488, 1416, 3766, 1392, 513, 2497, 547, 5659, 2623, 543, 2054, 1125, 1489, 538, 513, 1259, 2189, 547, 513, 2016, 1367, 563, 6826, 8326, 1489, 1544, 10959, 269, 2422, 11186, 3007, 667, 6020, 667, 6938, 667, 6938, 667, 12435, 269, 5590, 909, 2659, 15858, 538, 513, 10158, 602, 7402, 2227, 2471, 15474, 10263, 269, 1403, 2623, 15583, 919, 1544, 585, 543, 17982, 513, 12343, 563, 1607, 1544, 4927, 581, 1268, 19721, 723, 519, 16045, 3238, 538, 519, 1646, 540, 519, 1544, 593, 513, 1377, 3617, 585, 602, 1268, 543, 2226, 519, 15683, 543, 2463, 540, 519, 16045, 269, 1280, 1142, 3077, 2623, 14574, 519, 11186, 15699, 2994, 585, 5009, 606, 4244, 2623, 610, 12721, 2623, 602, 519, 1268, 2907, 6487, 269, 19884, 8081, 4643, 645, 9915, 769, 1840, 547, 513, 2489, 5234, 7014, 585, 7829, 32117, 2623, 513, 19884, 8081, 4643, 568, 513, 3407, 1907, 585, 7598, 631, 12839, 563, 763, 25833, 24894, 10029, 667, 6395, 10263, 8081, 4643, 22276, 568, 1031, 547, 3715, 519, 1544, 547, 1683, 2623, 1489, 547, 1004, 609, 7214, 543, 824, 11095, 9124, 538, 519, 10588, 540, 12052, 269, 1656, 1100, 789, 798, 711, 1152, 4001, 519, 4245, 547, 519, 1453, 855, 538, 513, 2631, 3610, 616, 899, 519, 2034, 3237, 2509, 891, 3214, 269, 15474, 10263, 8081, 4643, 32282, 303, 563, 288, 2623, 1489, 1544, 10959, 666, 581, 1175, 835, 2985, 610, 1896, 3817, 4470, 593, 1978, 2188, 269, 2422, 2623, 11610, 2994, 269, 634, 1292, 6662, 540, 519, 2623, 1544, 568, 547, 3247, 610, 2061, 3765, 2041, 8326, 538, 1453, 1510, 759, 15659, 547, 19439, 906, 563, 27855, 519, 2591, 15054, 676, 1022, 32277, 28922, 7180, 610, 5578, 22907, 269, 29007, 8081, 4643, 22276, 476, 1001, 274, 4972, 540, 546, 1075, 566, 543, 476, 278, 11070, 299, 10258, 304, 297, 623, 338, 577, 275, 18662, 338, 29007, 8081, 4643, 22276, 8525, 476, 275, 1160, 5562, 2994, 543, 2553, 769, 519, 4928, 19838, 269, 634, 10263, 8081, 4643, 16574, 919, 585, 7743, 4886, 540, 2659, 5753, 2337, 538, 606, 2038, 5868, 540, 2790, 2566, 4965, 543, 824, 2564, 2152, 602, 666, 8423, 704, 707, 3214, 2104, 563, 288, 5870, 609, 3237, 3610, 543, 16293, 786, 581, 7036, 539, 538, 2185, 4374, 547, 2689, 3356, 543, 4188, 519, 2623, 1544, 952, 2556, 269, 1677, 2333, 10220, 2307, 2875, 547, 798, 513, 1906, 4247, 646, 9917, 15055, 1354, 31392, 1875, 1790, 516, 31084, 4305, 269, 22365, 4403, 824, 1053, 585, 3617, 2623, 563, 27702, 2480, 1117, 27968, 585, 2689, 269, 901, 10959, 666, 581, 1031, 607, 513, 3391, 547, 2347, 513, 3102, 7180, 1489, 1544, 269, 6201, 540, 15474, 4675, 2176, 563, 288, 1880, 1362, 513, 269, 19928, 12781, 547, 519, 1544, 17217, 585, 29748, 17796, 540, 1344, 11261, 4578, 4015, 5900, 3737, 269, 1879, 595, 310, 10301, 1010, 3853, 513, 1505, 585, 5123, 856, 786, 581, 5462, 563, 6826, 8326, 8081, 4643, 22276, 835, 540, 853, 10420, 956, 577, 650, 22276, 1107, 3807, 1776, 2262, 3561, 1106, 8430, 10959, 2093, 547, 2263, 713, 10263, 8081, 4643, 22276, 2856, 596, 666, 19584, 676, 22276, 543, 269, 1280, 3236, 952, 15603, 519, 2875, 917, 6619, 540, 942, 602, 513, 5912, 269, 4935, 891, 1863, 543, 14167, 1544, 17074, 666, 581, 13561, 4704, 10274, 7258, 4543, 596, 1711, 707, 4640, 693, 1114, 2157, 689, 3119, 563, 6826, 8326, 8081, 12020, 10263, 8081, 568, 519, 2699, 30472, 540, 5054, 711, 519, 2699, 30472, 540, 2043, 269, 898, 3096, 519, 674, 10621, 1344, 547, 948, 721, 4137, 856, 799, 24970, 1027, 757, 649, 991, 547, 2232, 269, 476, 276, 10263, 5004, 11150, 563, 288, 2854, 1544, 602, 568, 2919, 1759, 593, 513, 6198, 4879, 540, 5615, 602, 11874, 1764, 513, 5171, 2702, 547, 10536, 11677, 543, 2087, 519, 1582, 910, 15276, 23462, 269, 589, 2623, 1544, 568, 513, 2854, 3561, 602, 11414, 1434, 2623, 543, 12587, 621, 269, 901, 1106, 568, 9516, 676, 519, 27020, 3041, 10866, 543, 6380, 8948, 1841, 30934, 585, 519, 5301, 540, 3296, 476, 2537, 540, 519, 2817, 26225, 15928, 30868, 10163, 2774, 633, 13756, 543, 29007, 8081, 16390, 476, 1001, 279, 563, 6826, 8326, 1489, 4566, 5581, 2242, 538, 519, 2623 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12477, 3347, 630, 299, 10861, 338, 264, 543, 3549, 1312, 723, 19363, 543, 9342, 267, 855, 1312, 723, 1880, 3252, 1447, 982, 1978, 3510, 563, 288, 2754, 568, 513, 5094, 1876, 11769, 3168, 693, 519, 23265, 610, 3755, 269, 13518, 899, 513, 6852, 32388, 11208, 267, 513, 6109, 568, 1152, 2111, 547, 581, 11262, 676, 835, 1268, 269, 9521, 513, 2078, 267, 513, 18294, 19330, 12303, 1022, 18497, 2359, 5943, 269, 589, 1870, 568, 7357, 2123, 12454, 676, 922, 23265, 269, 1703, 568, 1100, 1590, 2911, 547, 824, 19771, 1134, 1354, 1818, 513, 3903, 585, 707, 2754, 563, 18704, 6868, 538, 519, 9872, 616, 9833, 607, 4891, 607, 1134, 607, 723, 9838, 3656, 5539, 543, 14619, 267, 14669, 547, 513, 9769, 269, 1280, 713, 2601, 267, 4213, 723, 519, 2702, 547, 8415, 3435, 543, 2569, 6937, 609, 3838, 2359, 543, 2322, 2724, 883, 3063, 1507, 1870, 18129, 269, 9523, 6868, 798, 711, 723, 1697, 2924, 547, 12102, 12348, 543, 4690, 610, 9550, 540, 19971, 563, 288, 3908, 3656, 5539, 2078, 630, 299, 10861, 1070, 2705, 267, 568, 513, 4990, 540, 8502, 799, 2882, 1175, 835, 11346, 2864, 1287, 6266, 540, 269, 634, 12021, 1826, 540, 299, 10861, 568, 2965, 513, 4745, 14679, 269, 2060, 713, 1826, 540, 299, 10861, 267, 972, 568, 711, 1022, 5539, 585, 1419, 12314, 538, 519, 2680, 7081, 540, 513, 27072, 610, 513, 28153, 23312, 538, 519, 5698, 269, 4746, 267, 7429, 513, 2754, 267, 972, 568, 11613, 1100, 8766, 2569, 827, 519, 2671, 3854, 540, 707, 23947, 269, 1717, 267, 1082, 14540, 960, 609, 519, 6666, 789, 786, 946, 538, 741, 18129, 538, 1931, 547, 10536, 1256, 811, 3947, 585, 2933, 267, 14178, 741, 16904, 563, 288, 2754, 568, 1360, 4830, 1876, 543, 11601, 5943, 676, 17265, 519, 23265, 269, 898, 3622, 2882, 513, 3318, 1592, 540, 5773, 3964, 1317, 540, 519, 10470, 602, 1852, 519, 14892, 540, 1870, 269, 5047, 267, 7429, 513, 5698, 267, 972, 568, 1100, 10421, 602, 782, 540, 519, 23265, 4497, 538, 1205, 1925, 1667, 267, 4352, 789, 616, 1419, 5340, 609, 606, 829, 1032, 942, 7406, 269, 1411, 666, 1265, 1419, 930, 1826, 540, 3656, 5539, 4027, 3769, 538, 519, 676, 2000, 9155, 540, 606, 2754, 563, 4467, 11952, 5411, 666, 3132, 513, 3919, 267, 513, 11450, 267, 513, 3908, 25112, 1464, 2078, 267, 513, 6852, 32388, 11208, 267, 7132, 513, 27352, 11262, 18294, 267, 7488, 602, 972, 568, 1100, 11953, 5934, 7866, 3854, 2783, 269, 1411, 3274, 1590, 1205, 4388, 689, 513, 524, 11985, 610, 2754, 18607, 952, 596, 7287, 707, 3919, 602, 991, 6236, 513, 9872, 610, 20941, 269, 1358, 1058, 581, 2111, 547, 1683, 596, 513, 3152, 8226, 540, 519, 16551, 596, 723, 267, 899, 519, 1655, 1259, 547, 1062, 707, 13055, 602, 991, 6236, 513, 1870, 267, 4745, 14679, 267, 610, 513, 1360, 2370, 12477, 5698, 269, 1677, 1451, 811, 827, 1210, 707, 1870, 267, 3717, 547, 513, 3919, 1876, 2259, 1318, 1631, 269, 4256, 3919, 540, 3656, 13222, 568, 2111, 547, 4217, 596, 538, 1519, 513, 1007, 2228, 1870, 563, 7468, 10675, 14992, 281, 589, 4357, 7218, 616, 606, 1367, 538, 799, 519, 8227, 15387, 2698, 4971, 936, 519, 2754, 269, 901, 1507, 1870, 1062, 568, 4749, 6964, 8164, 519, 17354, 538, 519, 8502, 13922, 547, 3180, 593, 547, 9585, 1379, 936, 519, 1870, 607, 1134, 607, 24569, 1569, 547, 519, 22590, 689, 519, 2754, 269, 1403, 519, 13653, 13821, 547, 1902, 538, 513, 2462, 1612, 4897, 540, 2244, 267, 1711, 513, 4259, 909, 267, 543, 25755, 621, 547, 1082, 824, 3549, 563, 24965, 1027, 26943, 335, 1464, 3038, 3187, 267, 676, 1259, 540, 1383, 267, 713, 949, 581, 519, 2013, 281, 589, 1507, 5539, 8502, 568, 513, 2603, 899, 513, 2754, 267, 609, 519, 9868, 602, 621, 9673, 1206, 519, 15668, 540, 519, 18544, 269, 634, 2043, 616, 9763, 10549, 5411, 267, 855, 1142, 814, 1152, 476, 272, 8917, 269, 9603, 547, 713, 267, 972, 568, 711, 1022, 13766, 547, 1832, 12964, 18881, 569, 2489, 1205, 1925, 1667, 610, 3180, 3339, 13075, 543, 2754, 2238, 607, 1522, 581, 2877, 585, 16904, 269, 17290, 700, 6636, 14992, 616, 2356, 8246, 585, 1919, 971, 607, 1483, 10040, 5092, 1203, 999, 543, 9388, 267, 543, 711, 16519, 17416, 3549, 269, 1703, 616, 1896, 2640, 540, 2324, 609, 513, 11658, 15668, 6109, 267, 799, 1331, 519, 9348, 1464, 547, 2057, 1079, 2053, 21259, 267, 543, 2348, 1114, 2883, 6119, 563, 290, 2734, 725, 543, 20941, 338, 2648, 4389, 12477, 543, 666, 849, 723, 1585, 13359, 543, 26318, 2924, 269, 5637, 12204, 540, 1062, 5838, 519, 5578, 585, 3549, 547, 723, 8761, 607, 1134, 607, 723, 513, 7287, 585, 519, 1870, 13055, 269, 1280, 16904, 602, 798, 711, 723, 513, 1390, 4308, 4747, 610, 991, 513, 1286, 547, 12740, 3854, 267, 513, 6109, 1522, 581, 519, 5100, 3903, 269, 17290, 700, 6636, 14992, 616, 9280, 585, 1004, 945, 723, 8766, 4747, 267, 15029, 16904, 616, 9280, 585, 3549, 602, 2503, 9645, 14057, 543, 991, 547, 723, 513, 1360, 8237, 3656, 2497, 609, 2543, 547, 741, 15896, 4656, 269, 0, 8269, 22162, 519, 2257, 540, 6044, 286, 24897, 26511, 538, 8241, 543, 1715, 10215, 4081, 8021, 281, 513, 1543, 2079, 454, 10932, 1966, 19019, 531, 5496, 4751, 338, 616, 5051, 851, 540, 519, 2228, 5850, 3575, 6035, 676, 4081, 8021, 267, 855, 1018, 2306, 585, 2500, 5496, 4751, 1374, 286, 901, 1382, 2488, 513, 25135, 14653, 540, 5496, 4751, 1374, 538, 8241, 543, 1715, 10215, 4081, 8021, 543, 813, 571, 2478, 621, 998, 519, 7828, 540, 19180, 1565, 3069, 269, 6396, 1108, 15845, 2861, 1374, 3741, 602, 3895, 2500, 1565, 585, 19180, 941, 4857, 689, 519, 1382, 3332, 269, 589, 5042, 5626, 1935, 729, 3144, 267, 5373, 21246, 958, 689, 2904, 518, 779, 5042, 3069, 540, 19180, 1565, 269, 634, 3741, 13890, 538, 2904, 518, 779, 3069, 941, 12261, 883, 4808, 10858, 547, 5496, 4751, 5850, 2504, 269, 1452, 4808, 4646, 519, 4493, 585, 606, 4879, 19875, 799, 729, 4294, 547, 5496, 4751, 338, 3812, 676, 1715, 10215, 543, 8241, 29550, 269, 12474, 2079, 729, 1287, 4294, 547, 3313, 547, 1018, 6708, 5496, 4751, 18862, 538, 519, 3732, 10630, 519, 3741, 13890, 538, 2904, 518, 779, 3069, 269, 11778, 2201, 3328, 267, 5496, 4751, 338, 689, 519, 5238, 23500, 7471, 476, 278, 269, 277, 540, 476, 280, 2500, 19180, 3741, 269, 634, 1970, 13065, 2066, 519, 3732, 5267, 713, 1164, 3044, 729, 4114, 13846, 610, 25295, 676, 1034, 18862, 269, 8241, 543, 1715, 10215, 8021, 941, 540, 513, 13380, 3044, 2949, 609, 2147, 2127, 540, 4222, 543, 8467, 269, 20480, 2904, 518, 779, 3741, 1683, 513, 3730, 5748, 585, 8888, 2500, 19180, 6044, 269, 634, 8144, 540, 891, 3741, 883, 5496, 4751, 1374, 4808, 786, 23248, 4196, 607, 3730, 9270, 269, 28871, 20495, 3741, 630, 1723, 11447, 267, 1129, 16226, 543, 10126, 532, 264, 1459, 2127, 585, 1374, 6454, 855, 849, 3255, 585, 2417, 1382, 538, 606, 4081, 5399, 2796, 269, 0, 8138, 3939, 281, 4427, 2466, 519, 9226, 610, 1257, 3758, 602, 3568, 782, 707, 4267, 547, 519, 19169, 17835, 585, 713, 2978, 676, 519, 1439, 540, 519, 2978, 269, 1677, 14458, 667, 4319, 781, 630, 712, 20131, 264, 960, 267, 5225, 1331, 707, 2012, 543, 519, 1297, 540, 519, 2978, 693, 519, 1283, 540, 519, 3758, 630, 604, 596, 2811, 26446, 513, 5124, 3758, 267, 946, 8292, 281, 1376, 519, 1899, 609, 513, 1948, 1916, 294, 15665, 281, 1294, 519, 21249, 7355, 585, 2978, 10467, 563, 272, 269, 630, 5415, 17787, 264, 1411, 1616, 547, 1265, 519, 13074, 2262, 538, 513, 3209, 269, 25956, 513, 1599, 1279, 29999, 28442, 264, 602, 9060, 519, 13074, 2262, 538, 513, 3758, 3957, 2012, 269, 1284, 3513, 798, 713, 538, 1079, 3268, 630, 31095, 5094, 3252, 585, 1142, 865, 596, 666, 979, 1394, 543, 5635, 267, 1289, 873, 1279, 29999, 320, 267, 543, 1279, 29999, 321, 1040, 1411, 666, 1449, 609, 21030, 757, 17902, 610, 24928, 17902, 610, 1022, 540, 519, 824, 1806, 649, 4718, 4505, 563, 320, 264, 3367, 519, 3758, 607, 513, 5569, 267, 4894, 18685, 1210, 519, 14816, 4433, 264, 1599, 3254, 2630, 267, 543, 8237, 519, 5569, 883, 1913, 269, 3973, 979, 998, 782, 519, 1913, 267, 543, 1265, 519, 3259, 540, 519, 13074, 835, 267, 543, 2132, 922, 3259, 563, 8196, 513, 14816, 3890, 1599, 899, 519, 1739, 547, 4894, 18685, 689, 519, 1257, 547, 1205, 811, 4977, 2164, 563, 295, 842, 281, 2094, 3259, 568, 2141, 2318, 267, 972, 568, 1100, 1966, 609, 4358, 519, 3193, 26319, 693, 476, 271, 563, 321, 264, 17776, 1312, 519, 3259, 540, 519, 13074, 5320, 607, 1134, 607, 519, 13074, 2262, 3294, 269, 630, 27987, 873, 607, 513, 1592, 540, 1079, 2609, 4318, 3052, 2132, 1496, 10946, 331, 267, 544, 5320, 316, 952, 3193, 331, 568, 519, 3259, 540, 707, 13074, 2262, 267, 543, 544, 5320, 568, 602, 13074, 2262, 8094, 273, 269, 630, 3412, 1137, 264, 3503, 513, 1599, 16212, 263, 514, 877, 264, 602, 3217, 519, 3239, 3957, 538, 877, 267, 543, 1166, 2354, 621, 2059, 519, 15497, 267, 865, 9343, 1831, 9587, 267, 543, 9587, 1831, 9343, 630, 16694, 602, 713, 849, 2242, 519, 4463, 543, 8700, 540, 519, 4605, 1040, 1280, 2164, 593, 4881, 16212, 593, 938, 1449, 1922, 3796, 661, 858, 601, 27970, 543, 2725, 573, 1676, 27970, 267, 1294, 16212, 318, 292, 858, 601, 27970, 543, 16212, 318, 9288, 573, 1676, 27970, 4586, 274, 269, 630, 273, 5937, 7645, 700, 1235, 264, 3503, 513, 1599, 1265, 10857, 560, 267, 6221, 264, 602, 19707, 513, 476, 273, 8820, 1592, 585, 20825, 540, 6221, 267, 543, 5359, 782, 971, 20825, 267, 676, 8228, 630, 1721, 1142, 12136, 264, 519, 2990, 540, 519, 6221, 538, 519, 1016, 4289, 267, 543, 519, 2990, 540, 519, 1016, 4289, 538, 519, 1592, 32102, 269, 5269, 519, 3977, 1413, 2147, 547, 519, 3977, 2630, 269, 0, 2108, 14503, 1868, 892, 769, 19978, 7442, 32565, 22569, 2044, 1684, 3502, 14674, 28805, 4721, 454, 2690, 2963, 5885, 519, 3504, 16106, 3069, 267, 9147, 1325, 16772, 5654, 547, 26007, 538, 519, 6426, 827, 3595, 267, 3226, 1369, 3284, 32565, 11052, 267, 607, 10503, 5624, 4721, 269, 1358, 1413, 693, 519, 3595, 4478, 519, 17599, 540, 2696, 538, 26442, 2131, 1408, 779, 11052, 543, 519, 3595, 538, 519, 11454, 540, 2696, 602, 30037, 20186, 607, 930, 1806, 563, 763, 1034, 6639, 1966, 609, 713, 2070, 568, 602, 513, 12318, 1043, 2599, 1107, 835, 602, 22851, 3595, 1107, 1131, 581, 5667, 340, 3386, 26300, 15362, 610, 1256, 954, 17839, 8767, 2951, 269, 1677, 2417, 3181, 6064, 519, 8367, 267, 519, 11052, 538, 30037, 12799, 20186, 3595, 593, 1071, 1023, 1107, 4952, 1210, 5755, 547, 1379, 513, 5624, 1222, 689, 1776, 3859, 1062, 2336, 763, 5453, 1564, 7201, 17231, 634, 28202, 821, 2986, 2696, 3657, 3502, 28805, 1222, 11330, 25527, 454, 763, 13400, 2835, 540, 26442, 2131, 1408, 267, 12253, 267, 31694, 267, 543, 30037, 782, 6813, 519, 17599, 540, 2696, 543, 4766, 621, 607, 2348, 14743, 18284, 621, 269, 26442, 2131, 1408, 3576, 519, 1034, 3007, 547, 1469, 267, 7713, 14743, 1369, 14743, 1107, 12303, 513, 8868, 609, 22557, 602, 1921, 547, 513, 26079, 267, 513, 11342, 8868, 2497, 1256, 2221, 563, 26123, 1325, 16772, 3576, 26442, 2131, 1408, 779, 26841, 543, 1767, 602, 519, 22445, 729, 10503, 5624, 1222, 4412, 25527, 269, 11048, 267, 713, 2856, 568, 7357, 22522, 609, 519, 4890, 1257, 540, 26442, 2131, 1408, 267, 2523, 950, 602, 1257, 568, 3444, 18022, 22235, 609, 824, 26007, 540, 519, 17599, 540, 2696, 563, 763, 10067, 629, 9618, 1092, 6496, 3502, 14674, 9147, 17437, 12668, 454, 763, 10067, 629, 9618, 1092, 568, 606, 3504, 9699, 1257, 602, 6257, 3504, 13137, 1851, 519, 10971, 269, 9147, 1325, 16772, 6811, 602, 519, 3561, 6257, 30762, 602, 616, 968, 1962, 7660, 982, 513, 8536, 10877, 2223, 1739, 799, 519, 15000, 1995, 2589, 540, 5982, 15464, 267, 1519, 741, 18969, 543, 4552, 9991, 856, 563, 4407, 519, 2856, 540, 5982, 15464, 538, 519, 2484, 11397, 2250, 949, 1118, 585, 513, 1390, 2257, 5708, 3209, 267, 891, 2093, 616, 2965, 711, 1256, 1459, 538, 519, 10067, 629, 9618, 1092, 269, 634, 12696, 798, 711, 4704, 1141, 538, 519, 10067, 629, 9618, 1092, 891, 2093, 2097, 689, 267, 543, 585, 513, 1434, 2601, 281, 519, 3409, 7153, 689, 513, 1360, 2413, 1433, 1572, 27450, 540, 519, 7395 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2029, 538, 513, 13998, 3743, 543, 2922, 1259, 538, 1931, 547, 21707, 269, 5303, 568, 10876, 543, 786, 1404, 513, 11358, 851, 538, 1053, 685, 2729, 269, 17270, 1983, 616, 513, 2101, 3815, 538, 7175, 1453, 547, 581, 8746, 267, 3860, 543, 4830, 6267, 945, 786, 6038, 979, 593, 547, 946, 891, 1983, 538, 519, 1158, 540, 960, 269, 4475, 621, 568, 938, 9837, 602, 938, 10453, 723, 1169, 4316, 2139, 547, 1450, 873, 547, 3035, 713, 563, 5978, 3376, 543, 7059, 7384, 6437, 267, 21214, 1344, 2029, 267, 3059, 7924, 543, 2228, 3106, 9356, 891, 6663, 269, 1284, 1616, 938, 10453, 547, 723, 513, 4560, 540, 1995, 547, 1020, 741, 1620, 540, 2933, 607, 2043, 1369, 741, 2146, 855, 849, 607, 2818, 540, 513, 9962, 2518, 2146, 543, 607, 3743, 3059, 4961, 269, 901, 568, 693, 519, 2295, 540, 938, 6437, 267, 543, 4481, 835, 540, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 24426, 828, 9798, 543, 6732, 8881, 257, 607, 851, 540, 834, 16300, 13493, 1315, 5303, 1315, 4937, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 13349, 569, 1031, 8407, 910, 11956, 267, 4401, 267, 16035, 543, 1082, 811, 910, 543, 741, 1808, 646, 1846, 910, 11440, 543, 16038, 4559, 454, 28959, 4390, 610, 8143, 4390, 568, 513, 22905, 2168, 7274, 3160, 547, 519, 5223, 540, 519, 3002, 3773, 547, 630, 528, 6569, 689, 264, 606, 1843, 547, 519, 4611, 2837, 4429, 11854, 6900, 14333, 27519, 630, 290, 610, 590, 3738, 910, 634, 7274, 540, 3002, 2838, 547, 6318, 519, 2837, 540, 513, 6219, 676, 835, 4110, 17622, 568, 1572, 519, 4429, 11854, 6900, 646, 1846, 543, 24855, 3002, 19206, 585, 1585, 6878, 693, 476, 736, 595, 28548, 281, 524, 538, 808, 17320, 332, 918, 281, 524, 538, 1608, 17320, 332, 918, 610, 645, 14654, 15828, 321, 674, 281, 631, 6897, 595, 808, 8276, 565, 918, 281, 1325, 26891, 281, 476, 271, 269, 12010, 281, 476, 271, 269, 21497, 281, 476, 2190, 4429, 28959, 27519, 281, 1325, 26891, 269, 14333, 27519, 281, 1325, 26891, 30615, 1923, 3267, 14333, 27519, 630, 297, 270, 298, 326, 11860, 264, 18323, 630, 298, 264, 16242, 630, 25508, 264, 476, 1220, 281, 476, 6200, 23283, 281, 476, 278, 3445, 269, 276, 281, 476, 7742, 281, 476, 6200, 23283, 281, 476, 279, 4649, 269, 275, 281, 476, 29218, 269, 1428, 912, 3674, 519, 1871, 540, 1808, 3002, 4390, 540, 26459, 2362, 610, 2539, 982, 519, 3044, 1871, 286, 4208, 888, 763, 1808, 3002, 4390, 540, 11956, 568, 476, 271, 269, 21497, 8477, 829, 6121, 829, 5232, 17622, 610, 476, 271, 269, 21497, 8477, 829, 6121, 829, 5232, 22398, 9109, 269, 901, 1871, 568, 6027, 693, 4055, 4429, 17098, 782, 267, 594, 993, 4867, 538, 519, 1184, 540, 1603, 909, 1250, 6789, 17440, 7634, 540, 4466, 519, 1808, 3002, 4390, 540, 1325, 6058, 1756, 267, 543, 993, 513, 3787, 12758, 693, 4429, 13706, 519, 1808, 3002, 540, 7601, 2073, 476, 271, 269, 4343, 276, 808, 17320, 476, 271, 290, 269, 1548, 713, 1797, 568, 602, 621, 3217, 476, 271, 269, 4343, 276, 808, 537, 956, 540, 3002, 547, 6318, 476, 272, 6121, 540, 7601, 476, 272, 4110, 13767, 857, 639, 563, 2704, 6058, 1756, 12547, 630, 11907, 2985, 264, 901, 2985, 2488, 24045, 3114, 1239, 593, 26459, 12547, 269, 7698, 3267, 14333, 4390, 267, 524, 533, 281, 476, 8660, 269, 278, 2190, 279, 808, 14370, 28485, 918, 264, 28966, 3601, 3248, 306, 792, 2583, 1644, 547, 3002, 4390, 540, 11956, 454, 17742, 4390, 540, 11956, 454, 17742, 4390, 540, 11956, 23240, 454, 17742, 4390, 540, 11956, 12547, 454, 17742, 4390, 540, 11956, 23212, 0, 5575, 723, 519, 1453, 2445, 1896, 12566, 25862, 269, 8921, 596, 786, 991, 547, 840, 13463, 520, 707, 14089, 547, 476, 1220, 674, 585, 476, 3393, 3764, 269, 901, 786, 3819, 856, 707, 12566, 13409, 4543, 519, 11041, 16173, 538, 607, 1134, 607, 1205, 7759, 540, 1022, 12961, 602, 949, 723, 6456, 3330, 707, 12566, 13409, 563, 7661, 1039, 1896, 12772, 540, 1898, 3282, 610, 1085, 5034, 3282, 269, 1411, 666, 946, 1022, 20416, 596, 1131, 899, 267, 4352, 649, 2303, 12119, 610, 29762, 1085, 757, 1519, 25882, 267, 595, 20792, 267, 674, 597, 267, 1975, 16078, 267, 3212, 653, 1069, 842, 267, 610, 661, 32023, 269, 898, 786, 1491, 513, 1906, 8090, 585, 519, 11041, 547, 16173, 538, 269, 901, 568, 606, 5140, 10444, 1843, 585, 1453, 1317, 540, 519, 9403, 540, 519, 12566, 13409, 607, 1134, 607, 519, 1085, 757, 269, 1411, 1223, 946, 519, 12566, 25862, 538, 513, 3014, 267, 676, 2348, 519, 1453, 7058, 519, 20416, 540, 519, 12566, 13409, 563, 16665, 2228, 2866, 912, 21609, 18112, 5034, 28805, 630, 272, 5662, 1315, 1547, 272, 9460, 308, 994, 1103, 4149, 16291, 9751, 6092, 8943, 281, 661, 4753, 476, 24699, 272, 17345, 13517, 281, 901, 1576, 5432, 3278, 1053, 609, 1126, 1416, 9703, 2230, 1374, 9270, 607, 1134, 607, 267, 3617, 29939, 902, 543, 3937, 269, 898, 849, 11828, 946, 540, 9744, 5624, 543, 2027, 1719, 7740, 563, 290, 6395, 14847, 1890, 281, 15822, 543, 13245, 5113, 1496, 272, 5662, 1315, 1547, 272, 9460, 308, 2639, 29910, 11759, 14847, 1890, 281, 12474, 9351, 476, 273, 15099, 543, 4804, 5113, 1496, 272, 5662, 2639, 302, 13791, 11759, 10610, 540, 11310, 281, 4804, 2037, 4921, 1299, 15099, 1496, 272, 5662, 316, 0, 4467, 3966, 542, 12518, 267, 22186, 787, 333, 21662, 454, 293, 558, 924, 4964, 267, 476, 1001, 275, 454, 18800, 539, 676, 13744, 7534, 16026, 454, 763, 4214, 540, 513, 968, 1260, 3966, 542, 2030, 892, 568, 1134, 8153, 538, 519, 12202, 2146, 269, 28900, 267, 1373, 606, 9813, 547, 602, 15624, 267, 594, 1185, 547, 1413, 621, 909, 269, 3371, 779, 1018, 594, 1336, 630, 1529, 1194, 689, 1896, 8847, 2187, 763, 2259, 540, 14237, 2371, 689, 513, 3099, 540, 2249, 5702, 1472, 835, 1776, 538, 1931, 547, 2671, 519, 4027, 267, 6484, 267, 543, 824, 2640, 540, 519, 2249, 609, 824, 2371, 563, 763, 2500, 946, 540, 713, 4214, 538, 519, 3209, 12660, 542, 12518, 676, 22186, 787, 333, 21662, 5267, 602, 21662, 568, 513, 12202, 7192, 20601, 5964, 269, 21894, 519, 2013, 267, 1352, 1336, 513, 2140, 602, 1655, 13352, 519, 3209, 269, 769, 1018, 693, 1101, 4667, 547, 581, 513, 3765, 7666, 3660, 1650, 540, 1596, 4593, 8462, 267, 796, 637, 9407, 16236, 267, 543, 4638, 10539, 267, 568, 2965, 513, 12347, 11251, 9661, 540, 19969, 827, 2530, 267, 1247, 3695, 519, 2956, 540, 11505, 269, 1452, 4798, 616, 7691, 538, 519, 3527, 540, 519, 1292, 1915, 14672, 1551, 1807, 607, 1352, 1016, 4621, 19290, 27788, 9887, 609, 11652, 13604, 28746, 9789, 1004, 9280, 538, 1915, 543, 1995, 547, 948, 1200, 998, 2152, 269, 1452, 6281, 3197, 616, 519, 13959, 2371, 563, 763, 1762, 15669, 540, 519, 1650, 2833, 513, 2530, 12544, 11980, 540, 513, 2673, 3659, 1765, 520, 519, 1376, 540, 519, 3209, 602, 15920, 1200, 3003, 1272, 883, 513, 2766, 4944, 514, 269, 1677, 2057, 6849, 519, 4641, 540, 741, 3510, 267, 1352, 543, 1200, 1655, 3659, 10793, 773, 2196, 2476, 689, 519, 1152, 1272, 789, 4076, 1634, 547, 32603, 2066, 519, 2197, 269, 634, 6690, 5555, 1265, 513, 1895, 540, 16921, 945, 616, 27540, 4600, 538, 519, 1494, 1922, 9879, 2872, 269, 634, 6666, 26209, 267, 9930, 19631, 267, 543, 796, 20129, 6197, 540, 519, 1895, 568, 13267, 547, 519, 6690, 945, 3112, 2097, 547, 2474, 609, 741, 16236, 563, 29310, 267, 519, 1494, 6705, 543, 10793, 328, 1831, 519, 1152, 27733, 3196, 585, 519, 15669, 269, 634, 1895, 779, 7104, 1915, 7592, 1683, 4313, 543, 9675, 585, 519, 8004, 269, 634, 11460, 1568, 1134, 585, 1200, 267, 855, 11214, 7475, 909, 1232, 26305, 519, 2043, 538, 519, 1895, 538, 1360, 6151, 543, 1483, 2168, 543, 5626, 2081, 269, 634, 1895, 6038, 7319, 12923, 1152, 538, 8488, 532, 519, 17149, 5579, 8531, 602, 15669, 568, 538, 513, 9561, 6370, 547, 844, 749, 563, 1103, 513, 1847, 602, 4667, 513, 3787, 5230, 26370, 267, 855, 1869, 26363, 585, 519, 1650, 267, 1352, 5555, 7475, 909, 538, 513, 2790, 6413, 269, 1306, 1352, 973, 13569, 2476, 267, 519, 8004, 10742, 10793, 328, 779, 4651, 267, 945, 849, 1336, 5128, 513, 15615, 267, 1743, 14823, 2066, 519, 2197, 543, 8572, 547, 4308, 609, 519, 16236, 269, 1261, 2501, 10478, 585, 1010, 8250, 267, 855, 9060, 602, 519, 15669, 949, 1175, 581, 519, 13959, 2030, 646, 2115, 547, 2253, 7231, 609, 1010, 1378, 2152, 563, 3080, 540, 21662, 685, 811, 9952, 2553, 568, 1200, 2702, 547, 1118, 519, 5304, 1745, 865, 1454, 689, 513, 2241, 6609, 269, 4173, 21849, 4605, 540, 10793, 328, 779, 27830, 1106, 543, 17418, 547, 1450, 1022, 1426, 547, 4283, 883, 1200, 1560, 568, 20807, 532, 267, 1247, 3458, 5446, 519, 1928, 540, 10793, 328, 779, 16236, 1510, 2348, 519, 1915, 19039, 513, 2262, 269, 634, 15669, 779, 31117, 609, 10793, 328, 607, 1352, 568, 27830, 2476, 568, 849, 513, 3308, 3239, 540, 875, 835, 21758, 519, 13959, 9544, 2078, 729, 1063, 873, 269, 634, 968, 17754, 9026, 892, 519, 15669, 568, 647, 9535, 856, 540, 519, 968, 17852, 892, 630, 31568, 328, 543, 519, 20404, 264, 1472, 1200, 568, 811, 982, 1352, 568, 4758, 538, 2132, 269, 898, 568, 513, 1134, 2854, 4062, 540, 11052, 543, 513, 20807, 532, 12576, 540, 519, 1433, 779, 2949, 6249, 269, 901, 3239, 568, 849, 1152, 835, 1383, 540, 519, 3001, 1257, 596, 786, 6445, 1369, 519, 3817, 540, 12660, 542, 12518, 563, 1103, 513, 942, 950, 519, 14070, 16236, 3209, 568, 3335, 24760, 538, 2901, 1762, 2937, 21937, 2648, 8941, 610, 22350, 5559, 520, 1242, 11509, 1521, 2478, 267, 21662, 685, 3209, 267, 12660, 542, 12518, 267, 2501, 607, 513, 24253, 1900, 1394, 883, 606, 2025, 1922, 5831, 539, 1650, 602, 1281, 711, 4006, 1723, 520, 610, 2144, 5328, 1125, 519, 19178, 540, 2530, 269, 634, 1433, 4274, 569, 20362, 519, 4798, 540, 2530, 543, 519, 10848, 540, 11028, 4290, 532, 16236, 269, 9509, 6051, 568, 1419, 711, 519, 4781, 538, 519, 1483, 1158, 267, 513, 1249, 21662, 849, 19306, 538, 1200, 1650, 16447, 269, 2701, 568, 796, 2378, 12295, 547, 2263, 519, 10701, 340, 885, 602, 1246, 3885, 630, 18485, 6211, 543, 13998, 9112, 264, 543, 789, 544, 3291, 548, 998, 519, 21987, 540, 513, 2530, 676, 11980, 269, 15526, 568, 20109, 267, 711, 1175, 519, 6408, 269, 15526, 2833, 519, 2530, 538, 741, 1378, 1259, 563, 29423, 7891, 3168, 585, 513, 3001, 960, 602, 568, 2182, 547, 2322, 1524, 267, 543, 14156, 12667, 786, 9090, 2648, 12660, 542, 12518, 676, 22186, 787, 333, 21662, 269, 0, 28036, 532, 25925, 16836, 568, 519, 18912, 9661, 2497, 14500, 693, 519, 4099, 540, 18557, 1633, 5244, 543, 15173, 15158, 18557, 1633, 269, 898, 568, 1759, 593, 519, 3735, 268, 866, 628, 2540, 3026, 20415, 9774, 7322, 16836, 538, 28554, 7559, 267, 5125, 267, 609, 930, 3943, 4943, 725, 563, 28926, 2989, 5147, 476, 1704, 267, 476, 4198, 276, 267, 519, 14500, 568, 519, 9510, 540, 782, 18557, 28151, 269, 9282, 621, 10301, 513, 4463, 540, 1152, 476, 6507, 3952, 630, 2537, 544, 1070, 621, 729, 2966, 547, 2408, 26339, 998, 513, 1184, 1634, 607, 7142, 5133, 282, 1374, 2609, 616, 3677, 693, 519, 5748, 543, 4130, 693, 519, 2881, 28905, 269, 634, 14500, 7620, 12286, 606, 8900, 5580, 1377, 602, 729, 2760, 5497, 547, 2777, 606, 16007, 267, 855, 32240, 18557, 729, 711, 13854, 609, 1018, 646, 9763, 607, 24906, 2230, 267, 543, 13934, 1010, 5994, 619, 547, 1265, 930, 946, 585, 519, 2230, 269, 17796, 0, 14937, 13862, 543, 1283, 540, 2212, 282, 3043, 593, 519, 14230, 540, 519, 2212, 282, 3043, 11563, 267, 6089, 267, 543, 17987, 282, 3109, 1394, 282, 12457, 593, 519, 14230, 540, 519, 1560, 282, 3109, 3915, 282, 2699, 3750, 282, 5835, 7953, 543, 3952, 269, 476, 5038, 4699, 630, 1839, 538, 264, 538, 3259, 282, 476, 12208, 4699, 630, 4510, 538, 264, 12209, 3966, 269, 589, 6006, 344, 1200, 517, 269, 769, 9960, 20034, 720, 891, 5017, 723, 3043, 2212, 726, 6979, 563, 763, 9960, 4005, 5956, 538, 4571, 5336, 1105, 267, 19589, 538, 4571, 5025, 1440, 559, 547, 4571, 5336, 599, 267, 543, 11498, 2394, 519, 1647, 540, 4873, 269, 6601, 5338, 7226, 568, 26868, 2127, 267, 1519, 2220, 10102, 267, 22600, 549, 1407, 267, 543, 23047, 1127, 269, 634, 2249, 20097, 538, 10125, 267, 609, 1082, 5017, 21224, 538, 519, 1482, 1858, 1927, 269, 634, 9566, 568, 4122, 3710, 538, 513, 3529, 610, 21906, 476, 1428, 268, 1789, 3952, 630, 544, 264, 1657, 519, 2666, 269, 634, 3760, 16654, 9566, 568, 3710, 540, 16853, 267, 1000, 12127, 267, 543, 824, 2030, 1570, 269, 634, 4775, 23933, 476, 272, 268, 278, 630, 17141, 476, 274, 268, 276, 264, 5798, 602, 1312, 4079, 1491, 7140, 17861, 908, 585, 476, 2190, 268, 2918, 2395, 269, 634, 1762, 616, 10859, 268, 5306, 878, 658, 543, 616, 25374, 585, 676, 519, 4079, 585, 476, 5655, 268, 5392, 2395, 1310, 554, 10248, 563, 15239, 22249, 5338, 7226, 568, 2404, 609, 19126, 269, 634, 2732, 2882, 3165, 267, 12748, 29068, 267, 5798, 543, 1762, 5017, 267, 543, 824, 1507, 30900, 269, 634, 4563, 2275, 27547, 13957, 268, 615, 517, 19306, 12748, 10352, 676, 7555, 538, 610, 2282, 519, 1216, 547, 7001, 1426, 269, 901, 2249, 585, 1137, 693, 3781, 543, 887, 739, 338, 1282, 519, 1554, 563, 763, 4563, 2275, 27547, 13957, 268, 615, 517, 4386, 2429 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 513, 15889, 2203, 610, 513, 3059, 4528, 267, 3761, 513, 6041, 540, 519, 12497, 3344, 540, 606, 8798, 538, 513, 2168, 1106, 269, 1358, 4196, 607, 513, 6198, 2203, 602, 4564, 1018, 519, 10700, 1587, 1223, 2693, 1413, 899, 543, 875, 621, 1522, 1599, 269, 901, 8126, 2225, 2636, 3048, 2209, 547, 4983, 741, 2093, 5702, 267, 1413, 883, 741, 23250, 267, 543, 1118, 7368, 13217, 906, 602, 948, 538, 5355, 519, 8798, 1107, 2052, 1411, 590, 749, 2659, 769, 3685, 22830, 563, 26452, 9537, 540, 5019, 8040, 454, 3682, 339, 8040, 267, 1454, 899, 519, 18563, 789, 9446, 267, 2097, 538, 1114, 6163, 543, 2010, 269, 1358, 666, 581, 5258, 883, 1585, 6688, 1759, 593, 741, 1909, 543, 2934, 912, 268, 10439, 30384, 281, 1452, 616, 2813, 547, 5031, 519, 12716, 3344, 540, 606, 5137, 269, 1358, 5351, 547, 1397, 519, 5920, 267, 512, 842, 267, 1106, 267, 543, 4336, 540, 519, 1587, 267, 855, 798, 711, 3335, 8858, 1599, 269, 1358, 616, 5631, 1031, 950, 519, 7499, 9029, 540, 519, 1587, 568, 513, 2101, 3815, 538, 922, 11802, 563, 268, 23398, 30384, 281, 1306, 519, 2012, 10522, 267, 891, 30384, 1491, 519, 5106, 540, 606, 5647, 547, 519, 21282, 269, 1358, 616, 2356, 1031, 585, 2773, 4152, 543, 948, 547, 10146, 875, 519, 8798, 786, 7500, 538, 4641, 563, 268, 9577, 532, 30384, 281, 1452, 30384, 616, 519, 1034, 2347, 267, 8204, 519, 3803, 1587, 538, 1312, 2497, 543, 5106, 269, 1358, 616, 2356, 1031, 950, 519, 5137, 568, 16042, 519, 1439, 5933, 540, 3356, 543, 616, 18705, 547, 5702, 17932, 519, 1439, 1587, 563, 763, 9577, 540, 5019, 8040, 538, 25947, 543, 7638, 4328, 606, 769, 3685, 454, 9556, 1564, 4196, 607, 2178, 2645, 602, 1450, 31132, 547, 5386, 2389, 2317, 741, 18563, 269, 1635, 1818, 513, 15889, 610, 5907, 23314, 540, 606, 2856, 267, 15888, 666, 3713, 543, 2953, 7293, 20924, 267, 3986, 23908, 517, 15299, 267, 24244, 2773, 267, 543, 1732, 9787, 875, 741, 5137, 786, 2170, 609, 519, 3593, 543, 519, 4478, 563, 9556, 1564, 1683, 513, 3760, 585, 519, 4152, 540, 1585, 3344, 540, 606, 8798, 896, 1114, 2175, 267, 799, 11226, 538, 922, 21533, 543, 8309, 547, 519, 19349, 540, 519, 1439, 1587, 269, 5047, 267, 789, 948, 31132, 2769, 741, 4555, 811, 6707, 547, 9520, 267, 799, 568, 2565, 585, 13844, 25380, 543, 3854, 563, 26794, 540, 4635, 769, 3685, 5019, 9189, 7896, 454, 3849, 3939, 547, 28154, 16869, 1047, 543, 10049, 454, 290, 516, 566, 18634, 2533, 1930, 9885, 547, 513, 5763, 540, 6791, 543, 2200, 602, 949, 581, 3564, 519, 3914, 540, 2123, 3048, 2209, 269, 1452, 10909, 2097, 609, 513, 27805, 540, 4810, 4966, 267, 1142, 540, 7247, 3091, 513, 1367, 1305, 540, 15421, 543, 6791, 547, 519, 3942, 269, 634, 3309, 1995, 540, 891, 2695, 6758, 18715, 513, 2347, 543, 3102, 1505, 547, 2203, 5137, 269, 3958, 267, 891, 3549, 1419, 4865, 2413, 2029, 3435, 543, 3937, 267, 799, 666, 16113, 5818, 519, 3044, 543, 4398, 540, 519, 18634, 1646, 1184, 563, 11854, 5338, 909, 519, 4886, 543, 16214, 6713, 454, 32715, 532, 519, 5759, 540, 513, 2203, 3028, 666, 1291, 547, 513, 1713, 3432, 909, 538, 519, 1646, 543, 4152, 1184, 269, 2060, 741, 7920, 2872, 1702, 543, 7127, 547, 10427, 3937, 267, 891, 2533, 666, 14458, 891, 2565, 3268, 267, 4543, 3048, 2209, 547, 18359, 1271, 942, 269, 901, 2656, 2132, 666, 581, 3226, 5363, 538, 29653, 6990, 267, 1141, 519, 10605, 693, 799, 513, 1587, 21128, 693, 519, 2872, 666, 581, 513, 2101, 3815, 540, 922, 11802, 563, 294, 1430, 532, 966, 16191, 22227, 543, 10435, 13724, 906, 454, 1103, 3685, 18634, 2533, 666, 849, 4217, 3048, 2209, 538, 11018, 1271, 5955, 689, 2789, 9055, 269, 901, 1223, 1331, 2009, 3755, 3490, 267, 2872, 4966, 267, 543, 1256, 1394, 619, 269, 6270, 3403, 666, 2709, 15888, 609, 1898, 24300, 602, 666, 1267, 547, 13217, 906, 538, 519, 1374, 543, 10342, 540, 519, 5137, 269, 898, 6087, 873, 547, 811, 7561, 1174, 519, 6075, 1995, 267, 7551, 14123, 12381, 602, 1118, 519, 6221, 811, 3593, 7888, 543, 2500, 563, 16920, 24219, 15783, 7982, 619, 543, 17012, 577, 1047, 525, 454, 288, 1134, 13402, 23769, 5346, 666, 4196, 607, 513, 561, 30224, 267, 17444, 519, 7279, 540, 2009, 2508, 619, 543, 29929, 525, 269, 1635, 27109, 513, 15889, 267, 8647, 2203, 540, 606, 5137, 267, 891, 8639, 666, 7198, 2047, 519, 1761, 10626, 543, 10626, 540, 519, 1434, 269, 901, 598, 920, 28467, 11226, 873, 4605, 519, 1587, 538, 513, 4052, 4259, 267, 4929, 873, 811, 2693, 547, 1902, 538, 610, 12689, 519, 5647, 563, 15675, 532, 519, 9406, 769, 3685, 5019, 9189, 6796, 454, 26502, 547, 6333, 1879, 19805, 513, 5019, 9189, 6796, 454, 15675, 532, 519, 2953, 18634, 3028, 585, 18563, 568, 513, 2629, 3375, 602, 666, 14320, 1764, 519, 1967, 540, 606, 5647, 269, 1703, 616, 2789, 3344, 547, 7703, 538, 2247, 912, 268, 634, 3028, 8502, 779, 5578, 543, 6791, 281, 898, 779, 1898, 547, 1118, 2386, 602, 519, 12284, 814, 519, 2838, 15421, 547, 4383, 707, 1808, 1788, 563, 268, 634, 3950, 2594, 609, 26922, 10124, 281, 19881, 11802, 568, 4749, 513, 6325, 13525, 540, 14232, 7145, 563, 268, 634, 3902, 543, 15415, 540, 519, 2203, 1818, 1184, 281, 2353, 5137, 814, 513, 2883, 1544, 543, 513, 15415, 267, 543, 519, 2754, 1590, 6474, 1369, 891, 9993, 563, 268, 6348, 16162, 26918, 11650, 281, 2659, 2093, 616, 707, 7214, 7221, 267, 543, 741, 4027, 1058, 581, 513, 1292, 1445, 585, 519, 2754, 563, 10112, 31757, 519, 6796, 779, 31853, 267, 11310, 267, 543, 16680, 454, 2304, 9488, 813, 26150, 540, 519, 3028, 779, 6791, 543, 6791, 538, 519, 6389, 568, 2629, 269, 6182, 553, 4771, 741, 15334, 538, 18634, 1646, 543, 741, 1967, 538, 7829, 10467, 13380, 547, 16523, 666, 2285, 3407, 1702, 883, 741, 5759, 269, 3958, 267, 606, 7415, 1686, 1419, 6920, 602, 789, 616, 5827, 540, 23478, 1164, 7779, 2164, 543, 616, 6010, 601, 1512, 547, 2661, 909, 547, 707, 13922, 1107, 1215, 1677, 11162, 30171, 2274, 1430, 563, 8256, 18790, 8779, 267, 7033, 5202, 267, 543, 21041, 454, 30509, 689, 6791, 543, 917, 24376, 267, 621, 779, 849, 1898, 547, 2015, 811, 4052, 3344, 971, 607, 13258, 267, 942, 18134, 267, 543, 9658, 1097, 269, 634, 3028, 2115, 547, 6474, 609, 707, 6578, 267, 581, 5827, 540, 3246, 1369, 707, 4941, 8430, 267, 543, 1034, 11932, 267, 581, 6325, 609, 707, 30608, 7221, 269, 4762, 7808, 640, 11650, 616, 513, 6093, 851, 540, 713, 5650, 543, 616, 5921, 547, 2149, 707, 2093, 543, 18563, 689, 1373, 23699, 563, 763, 7844, 4886, 6396, 454, 2304, 11137, 540, 519, 17778, 14119, 730, 538, 7844, 20520, 454, 763, 8905, 689, 1523, 547, 23769, 5346, 568, 3335, 513, 1900, 8386, 9912, 1184, 602, 16621, 912, 268, 10417, 11516, 4221, 281, 901, 568, 519, 1101, 3942, 267, 1141, 519, 1523, 568, 10736, 883, 513, 3182, 3645, 6041, 269, 901, 11226, 547, 24644, 519, 1523, 543, 3947, 513, 1544, 585, 519, 5137, 540, 519, 18634, 563, 268, 26346, 11768, 281, 769, 713, 1900, 267, 519, 23769, 5346, 6238, 547, 1491, 3337, 269, 634, 1374, 568, 4824, 267, 609, 538, 3829, 3877, 267, 3800, 267, 1570, 267, 543, 824, 2556, 3344, 1373, 5462, 563, 268, 12861, 519, 23769, 5346, 281, 901, 568, 1141, 519, 6405, 610, 5691, 2203, 568, 3710, 267, 1210, 513, 3099, 540, 2553, 543, 1570, 269, 898, 779, 513, 4105, 3942, 602, 17838, 519, 2511, 883, 513, 15889, 1106, 563, 268, 28518, 543, 1135, 5109, 281, 4495, 519, 18634, 568, 9112, 267, 621, 779, 2322, 998, 11826, 4255, 269, 667, 8817, 593, 519, 4093, 267, 519, 18634, 568, 3501, 539, 543, 9168, 547, 2743, 519, 4941, 1179, 338, 543, 2773, 4441, 563, 292, 2310, 19983, 609, 519, 7577, 454, 4462, 3711, 27631, 543, 2500, 2792, 609, 519, 2754, 568, 1898, 2429, 519, 2203, 1818, 5650, 269, 901, 5849, 602, 1312, 5011, 616, 593, 519, 6697, 2985, 267, 9027, 725, 616, 538, 1899, 267, 543, 1022, 1761, 2042, 616, 17411, 16425, 269, 13705, 710, 18175, 10232, 543, 1930, 12909, 666, 5512, 513, 811, 5714, 267, 811, 3608, 1486, 19685, 1505, 267, 6368, 28285, 547, 513, 1732, 1439, 1587, 563, 763, 19043, 540, 594, 614, 894, 22410, 543, 2717, 5109, 454, 763, 2619, 547, 513, 15112, 11244, 18634, 568, 711, 3335, 513, 2786, 835, 22924, 568, 606, 20443, 1184, 602, 3322, 1896, 9979, 540, 6514, 543, 17975, 269, 3962, 4783, 540, 6514, 2488, 3407, 3403, 883, 519, 2773, 543, 32636, 540, 519, 2203, 267, 3850, 2556, 19260, 543, 3986, 906, 547, 581, 1500, 269, 901, 27952, 1935, 20674, 10018, 602, 519, 3803, 1242, 2203, 568, 607, 2673, 547, 547, 519, 3501, 3803, 1587, 607, 21483, 1107, 1215, 1677, 30171, 2659, 22830, 563, 763, 15937, 6478, 454, 1103, 519, 7706, 540, 18563, 267, 519, 23769, 5346, 568, 519, 8115, 602, 13462, 513, 13085, 1523, 609, 513, 4619, 16124, 6221, 269, 10435, 946, 540, 519, 6791, 540, 606, 18634, 3028, 585, 18563, 666, 1683, 519, 1489, 543, 2200, 2877, 547, 29906, 713, 4276, 811, 7561, 543, 3927, 269, 1879, 7446, 513, 3028, 267, 621, 779, 2629, 547, 1589, 827, 741, 1995, 267, 3950, 2594, 267, 13258, 267, 15415, 267, 543, 7834, 3800, 269, 5457, 602, 519, 2203, 5137, 1184, 568, 20443, 543, 2115, 9639, 267, 5872, 267, 543, 513, 7029, 547, 6024, 6454, 269, 1635, 12561, 713, 1505, 267, 31132, 723, 513, 2484, 1732, 10171, 540, 14291, 741, 2035, 883, 4619, 16124, 267, 2344, 268, 2819, 5370, 269, 0, 2704, 4022, 5829, 7972, 9782, 25409, 6385, 1369, 519, 2475, 10838, 4563, 267, 17104, 267, 7489, 543, 1977, 268, 24465, 270, 2704, 10939, 7111, 5095, 693, 519, 4098, 540, 519, 5046, 268, 866, 6855, 267, 1007, 2079, 8761, 563, 19547, 9229, 538, 634, 1977, 4750, 540, 10684, 543, 15850, 18816, 267, 519, 9263, 24595, 6268, 540, 4013, 1702, 7000, 602, 6466, 519, 3432, 540, 7972, 602, 949, 581, 2786, 11911, 547, 4568, 11506, 25921, 2698, 267, 972, 723, 1044, 22880, 6803, 543, 7292, 13103, 563, 2108, 305, 18432, 543, 6803, 12102, 6887, 9952, 25409, 2799, 10997, 540, 13864, 267, 6161, 540, 5046, 543, 13075, 2604, 538, 519, 1576, 540, 519, 6855, 2223, 3081, 1291, 17082, 3220, 269, 5754, 684, 329, 2426, 10557, 267, 945, 5645, 856, 519, 2079, 6466, 593, 519, 3627, 15966, 768, 871, 23958, 20513, 540, 15147, 720, 543, 2622, 3194, 267, 5441, 540, 12590, 11785, 563, 14071, 10123, 917, 602, 1977, 4095, 543, 14522, 7111, 5095, 267, 4563, 15706, 543, 3571, 3966, 923, 723, 12926, 9952, 2799, 4568, 14001, 9019, 10997, 543, 865, 649, 2219, 621, 729, 2556, 547, 1413, 693, 875, 519, 6855, 949, 991, 4299, 891, 10997, 3034, 763, 4102, 2087, 14754, 676, 3220, 269, 10557, 543, 1071, 27236, 3220, 269, 717, 29914, 19453, 267, 689, 634, 9839, 585, 2622, 4270, 1373, 543, 4270, 1373, 15147, 720, 267, 2622, 4270, 1373, 543, 3427, 532, 9024, 328, 2510, 267, 5549, 1421, 5211, 23014, 267, 15930, 267, 729, 538, 1977, 4095, 543, 14522, 7111, 5095, 267, 519, 1747, 519, 8167, 540, 7972, 602, 1223, 7654, 581, 2786, 11911, 547, 4568, 3152, 982, 23060, 1063, 5988, 476, 1708, 271, 543, 5130, 476, 1708, 272, 563, 1607, 729, 7550, 676, 476, 6812, 260, 2087, 1369, 519, 3902, 540, 4568, 5829, 7972, 538, 4563, 15706, 267, 606, 2333, 540, 476, 6321, 260, 538, 17104, 15706, 543, 513, 476, 4510, 260, 2087, 538, 7489, 15706, 269, 634, 1875, 6953, 529, 13732, 6519, 11317, 9952, 513, 476, 4375, 260, 4473, 269, 2334, 568, 26648, 607, 513, 1267, 540, 835, 824, 1382, 4362, 602, 4568, 4616, 10997, 8449, 11506, 10838, 7292, 270, 30710, 6887, 538, 519, 1576, 540, 519, 6855, 1700, 855, 519, 2530, 540, 1272, 10997, 28209, 563, 20751, 519, 1101, 1382, 540, 922, 1826, 267, 3220, 269, 10557, 267, 945, 779, 1631, 609, 519, 4107, 11871, 2598, 1706, 640, 5811, 16065, 267, 24028, 11462, 1299, 4270, 1373, 12876, 1145, 3163, 10406, 267, 1977, 4107, 11871, 5980, 267, 24611, 267, 11908, 267, 543, 3220, 269, 19453, 1031, 2530, 540, 1272, 1344, 543, 14829, 1702, 547, 5173, 4568, 14001, 2530, 540, 1272, 10997, 538, 4079, 9907, 476, 1839, 543, 4587, 538, 1169, 3923, 689, 5130, 476, 1001, 279, 547, 5412, 476, 1708, 272, 563, 5445, 13761, 856, 875, 519, 3432, 9168, 2698, 267, 538, 1840, 547, 676 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 543, 1256, 9634, 585, 6105, 543, 2621, 269, 2311, 606, 6575, 4099, 267, 596, 949, 1265, 12372, 4730, 2575, 267, 25249, 31667, 532, 2545, 7410, 267, 26719, 1818, 4190, 5961, 267, 5830, 4687, 741, 2984, 267, 543, 1454, 811, 269, 1323, 6575, 4099, 568, 1419, 513, 1747, 602, 6770, 1927, 1114, 2010, 540, 5159, 543, 11247, 896, 835, 8122, 780, 7078, 281, 5994, 6972, 883, 606, 2025, 10736, 12051, 2679, 269, 1411, 5873, 17409, 4947, 689, 513, 4055, 1141, 11051, 616, 8026, 741, 3515, 269, 1306, 596, 3802, 2417, 1524, 519, 10689, 3118, 267, 596, 1294, 10477, 10367, 10268, 593, 519, 6821, 543, 9329, 4195, 5862, 1373, 1031, 538, 1776, 18638, 269, 5455, 560, 4202, 267, 596, 3605, 513, 1895, 540, 3214, 1565, 875, 547, 1404, 7574, 7405, 1247, 1866, 616, 15472, 538, 513, 1804, 1930, 1858, 269, 2334, 781, 1018, 606, 6575, 4099, 7959, 899, 2439, 8893, 476, 273, 281, 8490, 7991, 3414, 3203, 692, 6635, 1206, 7740, 849, 948, 1628, 2178, 2950, 676, 5356, 3255, 585, 17137, 547, 4497, 609, 1142, 824, 543, 2671, 741, 15421, 269, 1358, 3984, 2621, 899, 30145, 267, 4249, 267, 24218, 267, 543, 5049, 865, 602, 3025, 666, 1451, 1945, 1007, 543, 2743, 4277, 1004, 269, 1635, 3246, 891, 2200, 267, 6575, 7740, 6536, 5876, 267, 6568, 267, 543, 1620, 1851, 12543, 780, 7078, 281, 6056, 827, 707, 1378, 8378, 269, 1215, 1082, 2053, 798, 596, 1205, 547, 2170, 609, 1004, 945, 1810, 1405, 2661, 1318, 1985, 7450, 547, 596, 286, 3767, 4952, 952, 972, 941, 513, 2027, 1747, 1141, 3025, 1223, 2097, 1927, 1107, 1453, 267, 3237, 267, 22594, 267, 3610, 267, 1870, 5411, 1107, 547, 2263, 741, 7499, 2427, 269, 9320, 789, 1131, 1106, 513, 1781, 597, 267, 1376, 513, 1433, 8630, 267, 610, 12840, 593, 2870, 513, 544, 1116, 8204, 741, 3838, 2833, 269, 14348, 333, 1405, 602, 581, 5863, 2496, 8893, 476, 274, 281, 3690, 14127, 28805, 20553, 11300, 16735, 338, 692, 6624, 6575, 7740, 2253, 607, 8723, 5656, 1107, 16292, 17346, 267, 3506, 267, 8637, 267, 610, 1256, 4357, 5321, 1107, 855, 1287, 2981, 883, 7524, 32387, 2407, 540, 1272, 543, 6667, 269, 1879, 5159, 1491, 936, 513, 2230, 267, 789, 1294, 922, 1761, 3564, 922, 3312, 3483, 269, 2060, 930, 9345, 267, 2182, 960, 267, 543, 2648, 267, 891, 4025, 1831, 2189, 18353, 585, 3695, 1585, 3029, 540, 1148, 780, 7078, 281, 16514, 606, 8900, 4558, 12506, 538, 707, 4884, 269, 4438, 519, 1554, 267, 4986, 4667, 547, 4755, 3330, 4849, 7452, 11018, 593, 519, 9486, 1571, 269, 1809, 693, 3781, 267, 596, 5469, 8279, 31300, 1359, 3297, 519, 4837, 3443, 525, 543, 8049, 4992, 838, 3739, 856, 5196, 519, 2427, 19769, 269, 2290, 1554, 267, 596, 6430, 547, 32708, 3330, 543, 3605, 513, 14297, 14364, 2754, 8600, 585, 741, 5767, 2504, 256, 634, 2899, 20585, 4558, 814, 1631, 1044, 9927, 883, 513, 18512, 3942, 585, 9423, 543, 1582, 22325, 780, 5226, 714, 5999, 1384, 272, 269, 1548, 568, 606, 6575, 4099, 888, 320, 264, 589, 9754, 6131, 547, 15386, 1152, 10367, 543, 18810, 454, 321, 264, 589, 6687, 17123, 28379, 585, 1585, 3860, 2238, 543, 2621, 454, 322, 264, 589, 5026, 1950, 609, 14912, 10470, 543, 10977, 20115, 454, 273, 269, 4208, 616, 6575, 7740, 1271, 585, 2679, 2178, 2950, 888, 320, 264, 1358, 1683, 6009, 585, 2199, 7264, 454, 321, 264, 1358, 2709, 3255, 585, 1514, 5872, 543, 6278, 454, 322, 264, 5637, 513, 264, 543, 536, 994, 323, 264, 7183, 540, 519, 1657, 454, 274, 269, 1215, 666, 8723, 5624, 581, 5828, 883, 6575, 7740, 888, 320, 264, 1635, 4946, 811, 9486, 543, 9885, 454, 321, 264, 1635, 18136, 5159, 547, 946, 873, 607, 28503, 585, 741, 960, 454, 322, 264, 1635, 7206, 3388, 6505, 4778, 454, 275, 269, 6904, 2262, 1655, 6257, 606, 6575, 4099, 286, 630, 16521, 782, 602, 4019, 8094, 320, 264, 6184, 25378, 454, 321, 264, 645, 1681, 454, 322, 264, 17151, 6804, 454, 323, 264, 25674, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 24281, 589, 4303, 568, 513, 25569, 13012, 513, 8265, 6429, 19674, 281, 519, 3655, 9809, 1228, 540, 5463, 528, 520, 601, 1512, 538, 29761, 269, 1548, 1281, 713, 1747, 1611, 585, 596, 543, 585, 519, 4062, 888, 297, 9926, 1030, 654, 537, 1562, 281, 3733, 960, 568, 2141, 1759, 593, 1483, 5624, 269, 31950, 2762, 568, 513, 1259, 585, 803, 547, 4431, 547, 513, 3710, 4641, 269, 18599, 1296, 3516, 267, 1250, 2259, 607, 513, 4091, 19212, 543, 16222, 20536, 3576, 593, 519, 3337, 540, 513, 29683, 538, 631, 18036, 2041, 2131, 267, 29761, 281, 5463, 528, 520, 601, 1512, 269, 9741, 676, 2370, 1250, 960, 2968, 1303, 342, 1441, 609, 513, 1788, 602, 3322, 2199, 2146, 960, 607, 1134, 607, 513, 3760, 585, 824, 5159, 267, 998, 4036, 4293, 267, 15976, 267, 3781, 5158, 2507, 769, 476, 1001, 280, 649, 6410, 547, 513, 1007, 4087, 609, 513, 2462, 1330, 1399, 731, 543, 811, 2230, 269, 769, 476, 1708, 271, 267, 1317, 540, 519, 13044, 268, 866, 6855, 267, 972, 729, 811, 942, 607, 1134, 269, 5463, 528, 520, 601, 1512, 8057, 3533, 267, 543, 621, 4166, 2968, 2312, 281, 713, 568, 1100, 3476, 1175, 1250, 1788, 269, 901, 1747, 267, 609, 519, 1004, 602, 5531, 1472, 621, 267, 568, 4742, 606, 6575, 8998, 563, 2691, 594, 13604, 3893, 519, 4316, 547, 1118, 513, 4663, 532, 4062, 267, 594, 6743, 1472, 803, 543, 2219, 281, 1934, 568, 971, 513, 5763, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7170, 281, 1215, 547, 5269, 12465, 15867, 1170, 1218, 2060, 606, 9721, 3828, 626, 692, 272, 269, 20283, 707, 5820, 281, 1677, 1118, 2757, 5186, 1170, 1218, 609, 606, 9721, 6335, 267, 596, 3513, 991, 519, 1739, 5820, 630, 1721, 5111, 476, 2190, 5186, 1170, 1218, 2187, 265, 476, 4335, 326, 3694, 7912, 267, 7132, 3063, 585, 7452, 532, 454, 265, 476, 1691, 326, 3742, 3819, 13803, 454, 265, 476, 1789, 326, 11491, 4327, 4006, 454, 265, 476, 273, 512, 4944, 6070, 454, 265, 476, 18231, 6447, 4411, 2898, 5144, 454, 265, 476, 18231, 326, 5667, 531, 1540, 7423, 267, 669, 2683, 454, 265, 476, 272, 4212, 1341, 476, 272, 512, 26138, 1216, 267, 29041, 1927, 630, 1122, 326, 11547, 994, 265, 8838, 1308, 281, 476, 272, 512, 26138, 9721, 22090, 4486, 610, 13391, 850, 903, 9721, 31201, 561, 1664, 584, 585, 3773, 8137, 692, 7659, 9133, 281, 14190, 532, 707, 5820, 547, 3914, 4055, 2837, 1354, 1210, 873, 5849, 1256, 11544, 543, 8375, 1282, 6169, 532, 780, 273, 269, 16259, 519, 14859, 281, 28799, 519, 3694, 7912, 267, 3742, 3819, 13803, 267, 11491, 4327, 4006, 267, 543, 6070, 538, 513, 1804, 12826, 269, 26431, 3575, 538, 519, 4411, 2898, 5144, 2394, 513, 11315, 14859, 3029, 269, 918, 928, 611, 519, 14859, 593, 513, 21066, 1166, 10696, 2627, 585, 827, 476, 276, 3764, 267, 4946, 811, 7912, 952, 2556, 267, 2394, 5347, 543, 13412, 269, 23426, 883, 513, 3440, 267, 1747, 1394, 538, 519, 12826, 267, 3382, 609, 5068, 16833, 267, 543, 12104, 4733, 585, 693, 2547, 476, 273, 3108, 610, 16074, 780, 28223, 281, 7743, 569, 9054, 8172, 519, 14859, 2636, 15347, 1646, 267, 4611, 538, 1732, 9403, 543, 2497, 538, 707, 3803, 1587, 780, 274, 269, 700, 3133, 622, 519, 7423, 281, 9255, 519, 669, 2683, 7423, 1063, 1079, 9212, 540, 533, 1105, 618, 1957, 269, 2422, 513, 12902, 8930, 547, 11013, 519, 7423, 2394, 621, 3587, 726, 4192, 855, 1869, 3579, 269, 24305, 856, 519, 7423, 883, 513, 13551, 7893, 827, 476, 277, 343, 280, 6279, 630, 1428, 343, 2537, 4699, 1040, 4676, 3419, 4733, 2394, 4712, 547, 946, 780, 7659, 9133, 281, 18227, 519, 7423, 5594, 16830, 982, 4055, 2837, 11151, 621, 689, 13621, 1932, 3533, 950, 5916, 609, 519, 14859, 267, 4180, 3982, 6106, 538, 707, 8737, 5186, 1170, 1218, 780, 275, 269, 700, 3133, 622, 519, 14859, 281, 17179, 519, 14859, 689, 519, 26806, 543, 5066, 621, 856, 883, 513, 3677, 13551, 267, 10199, 7466, 519, 2450, 540, 519, 7423, 13551, 269, 1325, 793, 835, 2110, 2427, 540, 519, 14859, 13551, 6252, 547, 519, 6316, 540, 519, 4831, 9008, 269, 9255, 519, 7423, 13551, 936, 519, 5377, 3368, 540, 519, 14859, 13551, 267, 6028, 513, 8473, 2059, 782, 5011, 269, 674, 1245, 519, 1283, 3368, 540, 519, 14859, 936, 519, 7423, 543, 2046, 1524, 9900, 547, 13021, 519, 8728, 780, 28223, 281, 23496, 513, 9395, 13021, 1472, 519, 7423, 4494, 8952, 621, 5094, 689, 519, 14859, 267, 8108, 519, 10058, 30305, 9403, 538, 5186, 1170, 1218, 780, 276, 269, 9524, 1433, 26642, 281, 18786, 689, 519, 1439, 14191, 547, 596, 267, 1685, 513, 2582, 4484, 16784, 676, 24208, 519, 2451, 3791, 540, 519, 14859, 2509, 519, 4099, 267, 4553, 676, 519, 1318, 3791, 540, 519, 14859, 936, 519, 1101, 16784, 269, 4964, 1524, 9900, 547, 1711, 513, 11741, 14328, 3337, 269, 12414, 519, 25649, 14859, 29628, 865, 602, 519, 6806, 7475, 616, 1631, 6849, 547, 707, 2451, 269, 19244, 3268, 476, 275, 543, 476, 276, 1079, 811, 2053, 267, 15914, 519, 14859, 1310, 1169, 2490, 543, 16889, 519, 14859, 538, 519, 26806, 585, 476, 1789, 3764, 1063, 7140, 269, 2991, 1614, 5036, 540, 7140, 267, 1450, 519, 14859, 547, 1964, 585, 1776, 5662, 538, 519, 26806, 780, 7659, 9133, 281, 3883, 26642, 948, 15814, 7423, 2429, 519, 14859, 267, 3384, 1346, 15040, 1166, 21294, 6106, 269, 10163, 532, 519, 14859, 1063, 7140, 6001, 525, 519, 15347, 267, 1818, 621, 4443, 547, 960, 609, 543, 4227, 16756, 532, 1282, 11256, 780, 277, 269, 12338, 543, 3337, 519, 5186, 1170, 1218, 281, 19147, 519, 1964, 539, 14859, 883, 2185, 3160, 4773, 269, 11554, 609, 835, 4062, 693, 513, 942, 267, 5066, 856, 519, 14859, 883, 513, 6094, 6656, 269, 4635, 513, 8325, 17180, 610, 16741, 2759, 614, 267, 7941, 519, 6656, 3259, 3772, 883, 12730, 609, 13279, 827, 476, 275, 6279, 2647, 630, 1015, 4699, 1040, 22073, 693, 519, 3490, 540, 1142, 6906, 267, 5402, 5066, 20733, 4724, 519, 1448, 267, 15198, 519, 14859, 5594, 607, 2877, 269, 4354, 557, 519, 18202, 14859, 883, 513, 524, 29266, 7599, 3337, 267, 10296, 519, 1079, 2798, 1927, 16119, 780, 28223, 281, 19793, 1324, 7833, 521, 1944, 543, 5935, 5849, 5812, 11256, 2164, 269, 2142, 9543, 950, 7829, 519, 10347, 22495, 730, 14859, 547, 2057, 1219, 331, 908, 2011, 22836, 3743, 585, 519, 2250, 787, 781, 1769, 1145, 780, 278, 269, 15937, 4473, 281, 28081, 519, 8032, 5186, 1170, 1218, 5196, 513, 20898, 11256, 6656, 267, 19437, 873, 6306, 585, 7269, 269, 700, 5366, 569, 3382, 609, 5068, 16833, 543, 1577, 873, 6961, 538, 513, 3636, 267, 8908, 6954, 1858, 585, 827, 476, 273, 3108, 267, 610, 2394, 789, 4312, 5176, 23060, 538, 2450, 780, 7659, 9133, 281, 4793, 1466, 17188, 1055, 910, 1697, 6169, 532, 18715, 13035, 267, 1134, 268, 5142, 523, 2250, 1845, 269, 3680, 678, 5241, 713, 1184, 676, 11093, 519, 26745, 2282, 3002, 2959, 899, 10237, 2209, 610, 9065, 839, 282, 19514, 14246, 666, 2014, 22522, 2208, 3270, 543, 4413, 327, 777, 523, 5186, 1170, 1218, 780, 279, 269, 645, 820, 519, 5186, 1170, 1218, 281, 2776, 17742, 707, 14089, 547, 476, 23841, 13790, 630, 5002, 9180, 1040, 5696, 2313, 519, 24111, 5186, 1170, 1218, 609, 519, 5423, 4212, 11547, 267, 1373, 6297, 711, 547, 1219, 17218, 873, 269, 645, 820, 585, 827, 476, 736, 268, 1839, 3764, 267, 7432, 519, 3443, 28870, 998, 5986, 267, 2394, 11344, 6960, 543, 25858, 539, 269, 14190, 519, 19323, 5186, 1170, 1218, 547, 3579, 4625, 593, 513, 5911, 24646, 1354, 7674, 780, 18893, 1308, 281, 1280, 606, 9721, 6335, 267, 2015, 5671, 3960, 1782, 930, 4389, 6276, 517, 1733, 529, 4486, 21360, 936, 519, 5186, 1170, 1218, 2899, 789, 4312, 1044, 1490, 19813, 609, 4212, 11547, 1991 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 29591, 693, 476, 1428, 4609, 269, 20640, 4609, 723, 1044, 24019, 607, 1216, 9243, 4724, 519, 2754, 779, 476, 1708, 271, 3804, 540, 476, 1428, 269, 1452, 6753, 616, 1055, 1606, 23293, 741, 1216, 946, 609, 2146, 9283, 602, 2901, 18359, 1216, 610, 1118, 1007, 2959, 2139, 563, 15578, 20796, 298, 590, 2316, 17247, 589, 4047, 4696, 454, 290, 17026, 1231, 568, 849, 3478, 2673, 547, 8757, 922, 476, 1708, 271, 1648, 3804, 547, 2569, 1648, 8515, 676, 476, 3953, 260, 3379, 547, 519, 15977, 1032, 540, 476, 1001, 271, 269, 901, 568, 519, 2754, 779, 3791, 1648, 3804, 2094, 476, 1220, 277, 543, 1082, 540, 519, 968, 22022, 3094, 892, 3785, 723, 1279, 1044, 6192, 563, 763, 2754, 267, 2705, 267, 814, 606, 10728, 5092, 543, 2962, 1544, 5247, 7676, 476, 1708, 271, 4724, 5870, 922, 1648, 3804, 269, 595, 17026, 1231, 16539, 1269, 1428, 2929, 538, 476, 9610, 1648, 4398, 543, 593, 338, 924, 3859, 25675, 3854, 3785, 538, 476, 1001, 279, 269, 1635, 519, 1439, 540, 519, 1032, 267, 519, 2754, 779, 1648, 8515, 5786, 729, 693, 476, 3066, 10065, 3683, 519, 1482, 476, 1001, 271, 547, 476, 1001, 279, 942, 12656, 1675, 267, 519, 2754, 779, 1648, 4398, 543, 7791, 1648, 3646, 4389, 595, 17026, 1231, 685, 23435, 294, 8515, 676, 476, 4391, 18336, 290, 17026, 1231, 849, 1500, 1713, 3356, 593, 922, 3804, 547, 5000, 519, 946, 540, 7791, 1648, 267, 10024, 883, 513, 5691, 1379, 6718, 6876, 547, 948, 606, 18518, 2842, 3484, 4228, 269, 634, 7269, 786, 6494, 827, 519, 1482, 2179, 540, 1379, 547, 519, 7470, 713, 1032, 607, 519, 2754, 3096, 538, 782, 540, 922, 22071, 1533, 540, 18518, 563, 4002, 9657, 267, 595, 17026, 1231, 538, 476, 1001, 279, 6603, 519, 476, 3445, 260, 1665, 585, 513, 2034, 15654, 1032, 267, 1175, 2110, 540, 519, 2754, 779, 476, 4817, 260, 3804, 269, 634, 9657, 2557, 814, 1044, 6366, 1813, 547, 9431, 7496, 538, 4525, 899, 3127, 543, 3624, 585, 16609, 3653, 12535, 267, 543, 606, 9000, 540, 3653, 2359, 14273, 538, 930, 5665, 4525, 971, 607, 4000, 563, 1103, 1840, 267, 519, 2754, 814, 1044, 4227, 11183, 3653, 11451, 676, 2810, 922, 946, 540, 2132, 762, 543, 23431, 11183, 269, 2334, 1797, 1447, 1570, 568, 2139, 585, 9657, 563, 7661, 267, 593, 17825, 267, 17522, 689, 15175, 3791, 5428, 17825, 7426, 814, 3361, 519, 2319, 547, 1491, 930, 3268, 1394, 547, 1732, 1174, 15977, 1239, 547, 3313, 1141, 621, 6763, 4724, 5870, 595, 17026, 1231, 685, 3804, 547, 2569, 519, 2910, 273, 829, 11304, 540, 5370, 25855, 538, 519, 2754, 779, 3060, 676, 476, 1015, 18336, 763, 17825, 2319, 814, 1044, 2324, 547, 1732, 1174, 519, 2799, 2179, 540, 2143, 1239, 621, 11392, 689, 519, 2754, 779, 1007, 29449, 543, 9250, 513, 14520, 590, 7950, 1788, 538, 2038, 476, 1001, 280, 547, 2744, 513, 1732, 1620, 269, 898, 568, 2324, 4724, 1818, 9283, 602, 1131, 5347, 2910, 273, 20214, 2429, 519, 1032, 563, 763, 2319, 6499, 547, 2087, 3560, 4058, 547, 11694, 13907, 267, 4227, 5195, 950, 18114, 616, 8900, 543, 10893, 3845, 14612, 563, 26183, 19170, 9215, 5990, 674, 7473, 13543, 454, 290, 17026, 1231, 568, 4058, 547, 14773, 519, 1985, 5108, 540, 922, 2825, 6940, 1544, 607, 851, 540, 519, 2754, 779, 476, 1911, 628, 16683, 2663, 538, 476, 1001, 280, 267, 1247, 1869, 2324, 547, 3035, 922, 4540, 476, 1708, 271, 3853, 7868, 1544, 786, 1413, 856, 547, 476, 13078, 271, 267, 4259, 3067, 16666, 3853, 585, 476, 10711, 271, 2059, 519, 1259, 269, 0, 2750, 6244, 1431, 10655, 20375, 540, 1686, 543, 2528, 630, 2457, 476, 272, 994, 763, 590, 1120, 773, 341, 30142, 611, 7467, 268, 4910, 2925, 568, 835, 540, 519, 1906, 15882, 5329, 519, 2245, 540, 9836, 16939, 13753, 540, 519, 12563, 1148, 7740, 538, 3864, 6576, 799, 535, 12184, 2476, 267, 15991, 17005, 543, 1869, 2713, 269, 634, 30295, 616, 1869, 2959, 540, 7110, 532, 519, 10070, 540, 12563, 1148, 269, 9737, 519, 476, 4198, 271, 338, 543, 476, 3422, 271, 338, 744, 17679, 269, 918, 2607, 331, 13960, 543, 700, 9950, 269, 17833, 3240, 330, 13960, 11567, 519, 7187, 267, 5087, 2914, 3480, 543, 5580, 5292, 8615, 4525, 540, 6576, 269, 634, 30295, 941, 2141, 1950, 281, 789, 11567, 782, 5686, 540, 12563, 1148, 269, 1358, 7930, 11567, 835, 610, 1896, 15231, 4525, 267, 5402, 8359, 11507, 267, 6594, 519, 2959, 543, 3332, 593, 1686, 540, 519, 14252, 543, 27656, 2761, 338, 269, 769, 519, 14252, 789, 6394, 519, 2898, 1950, 540, 1344, 2556, 585, 519, 3621, 5316, 1081, 540, 519, 9060, 563, 763, 7740, 540, 12563, 1148, 941, 8499, 13890, 593, 519, 7851, 269, 6270, 4480, 15868, 267, 1101, 569, 267, 547, 1106, 519, 4015, 1519, 5176, 782, 5686, 540, 12563, 1148, 282, 2034, 569, 267, 547, 1683, 1142, 6221, 609, 3833, 513, 5730, 3621, 1780, 1636, 282, 3791, 569, 267, 547, 946, 519, 9715, 1570, 585, 14391, 566, 540, 824, 10070, 269, 1306, 519, 1267, 540, 744, 17679, 269, 918, 2607, 331, 13960, 543, 700, 9950, 269, 17833, 3240, 330, 13960, 779, 30295, 676, 519, 3735, 476, 3192, 271, 338, 519, 7467, 22234, 835, 540, 519, 1655, 10070, 540, 7187, 1253, 3530, 338, 267, 570, 591, 543, 8734, 326, 528, 617, 30927, 267, 12563, 9102, 20955, 543, 20341, 563, 1103, 519, 476, 2735, 271, 338, 519, 5045, 543, 3844, 4525, 540, 6576, 941, 8362, 11567, 269, 634, 960, 2968, 811, 2500, 950, 519, 7467, 6896, 2027, 3560, 269, 1924, 267, 789, 7307, 547, 10536, 513, 4686, 267, 3102, 543, 2347, 4015, 540, 23907, 540, 519, 18293, 543, 32157, 4525, 269, 27842, 540, 20341, 267, 9867, 538, 5546, 543, 23732, 267, 941, 4547, 689, 519, 6755, 5633, 267, 570, 3711, 990, 543, 27550, 1794, 534, 4525, 563, 763, 30295, 547, 519, 7013, 4525, 941, 1808, 269, 8409, 2127, 941, 7415, 585, 6803, 4763, 269, 634, 2582, 3917, 731, 17260, 267, 16287, 519, 7013, 4604, 619, 267, 941, 4646, 540, 519, 13222, 540, 23577, 338, 267, 945, 5030, 972, 2094, 519, 476, 277, 628, 1107, 476, 278, 628, 2540, 610, 6410, 689, 519, 3844, 1368, 828, 333, 5362, 676, 519, 10424, 1931, 267, 543, 849, 540, 631, 867, 990, 2103, 267, 595, 1601, 30929, 543, 267, 2687, 547, 519, 6054, 267, 1256, 540, 2717, 525, 543, 26403, 2103, 269, 6196, 21071, 6854, 3504, 5389, 607, 789, 941, 711, 3868, 762, 269, 0, 1607, 17912, 10483, 22526, 10753, 1111, 639, 779, 14266, 540, 10367, 281, 700, 1221, 518, 19315, 928, 654, 677, 324, 267, 799, 4646, 851, 540, 519, 6249, 1032, 538, 476, 1001, 274, 2433, 2098, 518, 560, 23152, 974, 966, 1408, 325, 5306, 12670, 476, 4350, 274, 268, 4375, 268, 3393, 281, 763, 589, 32569, 5314, 540, 6014, 3959, 538, 519, 8998, 540, 12670, 454, 8072, 763, 4670, 519, 18048, 543, 4670, 20536, 267, 22526, 10753, 1111, 639, 1500, 538, 476, 1001, 273, 5956, 609, 17626, 22089, 540, 10514, 539, 13050, 12670, 269, 634, 9552, 13006, 676, 20466, 17177, 828, 21804, 538, 5614, 476, 3707, 276, 729, 2663, 4330, 676, 16586, 607, 741, 2048, 14706, 5662, 685, 1107, 1312, 1439, 543, 4098, 269, 634, 9810, 789, 1185, 3262, 1472, 519, 1158, 267, 799, 6368, 8120, 547, 2887, 593, 873, 267, 729, 936, 269, 4934, 540, 519, 6299, 1076, 1007, 1272, 1223, 1631, 10351, 3729, 269, 6145, 865, 1082, 5656, 267, 3223, 603, 1598, 21692, 476, 1691, 538, 5576, 7238, 928, 6199, 267, 12670, 267, 729, 8185, 8697, 267, 855, 1287, 17468, 693, 519, 1439, 540, 519, 476, 3707, 271, 338, 269, 898, 729, 547, 581, 5722, 5756, 267, 2705, 267, 1354, 590, 580, 1143, 1495, 267, 670, 1068, 320, 543, 26081, 345, 19555, 2335, 5178, 577, 267, 945, 5030, 1934, 2394, 789, 941, 1244, 9285, 543, 23689, 693, 26401, 538, 476, 3707, 273, 267, 941, 16033, 730, 609, 2048, 1805, 565, 704, 4614, 710, 685, 1107, 18189, 10824, 1305, 883, 519, 31879, 269, 1280, 519, 6852, 17005, 1920, 4759, 267, 670, 843, 1122, 731, 267, 519, 1032, 476, 3707, 276, 1705, 711, 2099, 513, 1007, 4098, 269, 2701, 1185, 2907, 1044, 7142, 547, 4960, 513, 1007, 1376, 538, 4989, 476, 4350, 280, 693, 519, 2085, 540, 476, 2537, 607, 513, 6014, 21345, 538, 4789, 269, 634, 4126, 602, 1200, 3237, 543, 7820, 7015, 1131, 835, 1554, 6443, 1200, 729, 546, 14414, 693, 519, 1439, 540, 519, 2112, 269, 2701, 9505, 713, 16236, 2476, 3330, 1200, 269, 6145, 1034, 32164, 7847, 1352, 15859, 1947, 2258, 730, 1200, 4436, 4282, 267, 1256, 2509, 1200, 1453, 779, 5108, 269, 898, 729, 1152, 538, 1200, 2025, 2085, 602, 1352, 8118, 909, 547, 1200, 8250, 22526, 10753, 1111, 639, 267, 519, 8289, 540, 513, 3857, 9068, 5627, 28028, 729, 519, 9594, 16089, 519, 3965, 540, 519, 1476, 4593, 566, 540, 741, 3024, 1963, 1739, 26701, 718, 333, 25638, 269, 22526, 7479, 12184, 1200, 3993, 547, 2594, 1200, 8823, 593, 11746, 1107, 538, 2296, 267, 799, 1352, 1869, 12038, 609, 513, 12670, 20020, 269, 634, 10916, 568, 7471, 883, 519, 4670, 865, 602, 519, 5639, 540, 1200, 3993, 267, 1631, 21549, 267, 14380, 856, 540, 519, 16563, 1287, 29826, 2476, 267, 1896, 2053, 267, 1175, 607, 22526, 10753, 1111, 639, 685, 15885, 4473, 7930, 689, 519, 2627, 540, 519, 17198, 267, 3100, 3592, 547, 642, 4314, 607, 519, 2666, 568, 4294, 267, 1287, 6368, 31272, 792, 609, 519, 3803, 4494, 540, 5862, 269, 634, 4670, 1287, 535, 4926, 519, 3993, 779, 11913, 8823, 609, 519, 8250, 779, 13556, 16697, 902, 2507, 20371, 30267, 269, 18067, 1731, 19258, 10458, 267, 4354, 1807, 267, 700, 1221, 518, 19315, 928, 654, 677, 324, 661, 874, 571, 574, 6022, 9820, 267, 12670, 853, 611, 339, 332, 5237, 476, 1001, 274, 1107, 14266, 32562, 454, 299, 1221, 518, 19315, 928, 654, 677, 324, 281, 547, 7662, 513, 3095, 547, 2070, 593, 966, 830, 334, 267, 5225, 3346, 22526, 269, 0, 295, 599, 6229, 681, 2089, 5674, 4280, 267, 8242, 593, 5988, 476, 1839, 628, 267, 476, 1708, 273, 282, 13445, 912, 6930, 495, 479, 476, 275, 4281, 6930, 495, 491, 476, 1724, 26926, 483, 26926, 483, 26926, 483, 26926, 483, 26926, 484, 275, 269, 274, 454, 302, 341, 1637, 568, 519, 5305, 540, 513, 9921, 4212, 689, 519, 2627, 540, 519, 9065, 776, 269, 901, 2356, 4386, 4571, 268, 12860, 267, 1472, 1079, 4374, 610, 865, 1354, 28689, 6238, 269, 4438, 519, 21155, 983, 5123, 267, 519, 3384, 21155, 548, 3123, 513, 4473, 538, 519, 1377, 540, 522, 652, 4088, 563, 5278, 6011, 267, 875, 798, 594, 917, 950, 594, 6415, 9065, 6819, 1310, 1250, 1974, 888, 2252, 707, 18492, 4783, 16569, 476, 2764, 2395, 543, 707, 1974, 21128, 899, 9219, 1740, 267, 621, 781, 2693, 602, 596, 3513, 9065, 3634, 593, 1554, 476, 1691, 269, 2334, 781, 28870, 998, 707, 4783, 269, 2659, 15417, 6885, 5956, 593, 1554, 476, 1015, 269, 1411, 2811, 811, 2693, 547, 1205, 9176, 952, 596, 723, 3023, 693, 2547, 1169, 824, 1554, 1063, 2395, 476, 1015, 543, 476, 1691, 540, 513, 476, 2764, 6377, 4783, 563, 16524, 1650, 2110, 267, 875, 798, 594, 917, 952, 594, 6415, 711, 9065, 6819, 286, 634, 1292, 10835, 540, 26983, 568, 519, 17418, 547, 1205, 9176, 269, 589, 18492, 4783, 602, 781, 1932, 1279, 630, 3374, 2395, 610, 811, 1070, 1932, 2110, 630, 1652, 982, 476, 2641, 2395, 1070, 12150, 610, 15534, 666, 1611, 602, 596, 2811, 711, 9065, 6819, 563, 1103, 513, 2489, 267, 1018, 4523, 519, 3018, 1354, 707, 1974, 888, 303, 5960, 2589, 2356, 2049, 476, 276, 268, 278, 2395, 1354, 513, 8004, 11320, 2674, 781, 18492, 1974, 269, 1703, 616, 2965, 513, 2698, 540, 476, 5611, 1634, 2589, 540, 623, 5960, 269, 634, 1034, 1455, 2589, 1331, 281, 7099, 23638, 267, 6089, 15319, 1145, 267, 26533, 267, 18383, 267, 26351, 585, 1978, 3536, 267, 2799, 14000, 543, 19818, 267, 543, 9854, 563, 1432, 4523, 593, 1554, 476, 2641, 540, 519, 18492, 4783, 888, 288, 1164, 4303, 476, 2641, 1322, 6856, 821, 1377, 6920, 28284, 543, 519, 5305, 540, 606, 4212, 269, 589, 1970, 4303, 476, 2641, 1322, 6856, 821, 1377, 5267, 519, 4783, 729, 606, 990, 17419, 630, 7224, 4212, 729, 3812, 1040, 1403, 1100, 4212, 568, 3812, 267, 6379, 3112, 581, 6913, 563, 4913, 267, 741, 15417, 6885, 3459, 513, 1906, 2395, 1354, 28284, 1317, 14203, 666, 7639, 585, 909, 547, 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 ]
[ 519, 1261, 11770, 541, 1325, 12011, 5271, 7690, 538, 519, 1114, 2694, 540, 519, 1158, 543, 922, 7418, 547, 519, 4027, 540, 8471, 1480, 2418, 616, 17192, 18976, 563, 288, 345, 27930, 13568, 779, 1296, 17489, 3785, 6322, 693, 8497, 519, 3140, 267, 2686, 543, 3909, 6561, 543, 8429, 621, 593, 547, 2104, 5481, 616, 3564, 519, 2197, 779, 10665, 269, 1677, 4266, 267, 519, 1261, 11770, 541, 1325, 12011, 5271, 7690, 814, 5645, 856, 519, 11808, 540, 513, 1297, 540, 2342, 779, 3140, 4609, 693, 1981, 540, 12900, 269, 634, 7690, 267, 799, 7494, 8309, 547, 29494, 13568, 779, 1434, 3239, 593, 513, 2518, 4336, 267, 1281, 711, 1152, 1964, 2803, 3140, 4609, 543, 20375, 855, 849, 11438, 856, 519, 4070, 540, 2686, 6703, 563, 3891, 11770, 541, 1325, 12011, 5271, 7690, 4249, 606, 11108, 1909, 538, 8497, 2686, 6561, 454, 7021, 519, 2250, 1974, 267, 519, 1261, 11770, 541, 1325, 12011, 5271, 7690, 814, 2944, 1271, 960, 2509, 8497, 2686, 6561, 538, 29494, 13568, 543, 13383, 269, 769, 476, 1220, 277, 267, 519, 7690, 15748, 519, 16646, 540, 519, 19772, 18429, 540, 29494, 13568, 779, 7986, 3140, 5515, 1107, 19257, 5633, 1744, 2378, 328, 966, 10270, 327, 267, 19257, 5633, 674, 7614, 328, 13019, 327, 1495, 990, 267, 13201, 534, 581, 344, 589, 724, 599, 5271, 543, 674, 7614, 328, 16679, 10609, 9081, 7288, 538, 570, 321, 18442, 328, 267, 11908, 267, 607, 1134, 607, 519, 5137, 540, 606, 620, 2917, 972, 269, 5047, 267, 519, 7690, 17468, 8471, 20375, 538, 519, 6288, 3544, 519, 20066, 540, 12411, 320, 14792, 538, 476, 1220, 278, 267, 4053, 19902, 5918, 7200, 341, 516, 538, 476, 1220, 279, 543, 519, 12670, 4975, 20066, 267, 799, 729, 14616, 1524, 543, 10032, 1282, 519, 5822, 2622, 2782, 269, 634, 7690, 779, 2686, 3785, 538, 4914, 2477, 849, 1331, 519, 552, 14431, 540, 513, 15224, 547, 1390, 29494, 329, 8643, 6648, 715, 714, 9564, 717, 534, 329, 822, 328, 538, 966, 8759, 645, 3073, 515, 572, 25052, 267, 7507, 538, 476, 1001, 273, 267, 519, 11808, 540, 519, 4936, 9697, 659, 558, 2125, 3330, 519, 28912, 267, 519, 10380, 540, 513, 11861, 547, 7986, 29494, 329, 8643, 5856, 267, 14544, 543, 1480, 626, 19257, 5633, 674, 7614, 328, 13019, 327, 1495, 990, 538, 519, 2353, 7304, 11701, 3557, 7732, 540, 14579, 9085, 3957, 1310, 594, 269, 23052, 558, 3626, 267, 519, 10661, 540, 606, 29494, 13568, 8836, 4741, 538, 8303, 267, 519, 7816, 540, 519, 11096, 14279, 685, 18740, 538, 519, 7507, 7167, 527, 13238, 7467, 267, 3092, 269, 1703, 616, 19421, 540, 971, 1806, 563, 288, 345, 27930, 13568, 779, 7418, 547, 519, 28912, 454, 763, 3785, 15748, 676, 29494, 13568, 538, 519, 28912, 2721, 519, 1158, 779, 3007, 269, 2060, 519, 1489, 540, 519, 1261, 11770, 541, 1325, 12011, 5271, 7690, 267, 930, 3909, 20375, 540, 3140, 4644, 538, 519, 28912, 723, 1044, 17468, 585, 936, 4557, 1296, 269, 2423, 17067, 713, 1032, 267, 519, 7690, 543, 28912, 779, 30716, 604, 673, 8189, 540, 29042, 26337, 723, 9896, 513, 9316, 6876, 547, 11177, 519, 9697, 659, 558, 2125, 540, 2155, 617, 8759, 269, 901, 6876, 862, 10642, 519, 1985, 3942, 540, 9316, 1063, 519, 1261, 11770, 541, 1325, 12011, 5271, 7690, 267, 799, 8952, 5009, 29494, 13568, 779, 2686, 6561, 593, 513, 2518, 4336, 267, 543, 519, 28912, 563, 11693, 519, 3785, 8045, 1369, 24845, 9316, 267, 1614, 1271, 5933, 666, 581, 13747, 563, 4263, 519, 1101, 3942, 267, 519, 3032, 659, 558, 2125, 540, 853, 269, 3057, 3250, 3626, 543, 623, 2884, 549, 941, 17468, 269, 5518, 540, 519, 1261, 11770, 541, 1325, 12011, 5271, 7690, 2725, 327, 1026, 534, 1325, 12011, 21416, 22305, 13894, 519, 3032, 659, 558, 2125, 1310, 519, 11808, 269, 3767, 519, 1857, 666, 3643, 1346, 3032, 659, 558, 2125, 267, 1141, 15999, 23906, 1723, 525, 723, 1044, 17468, 563, 763, 2034, 3942, 540, 9316, 3323, 609, 519, 10661, 540, 513, 9754, 538, 519, 29092, 3821, 540, 853, 269, 1530, 30807, 1014, 609, 519, 1489, 540, 2725, 327, 1026, 534, 1325, 12011, 21416, 563, 763, 5571, 3791, 3942, 6663, 547, 11177, 519, 9697, 659, 558, 2125, 540, 2155, 617, 8759, 269, 2353, 519, 5018, 4609, 616, 2808, 547, 581, 606, 1271, 2686, 6561, 585, 519, 4168, 1158, 563, 2026, 585, 519, 4027, 540, 29494, 13568, 779, 3140, 543, 2686, 6561, 267, 519, 1261, 11770, 541, 1325, 12011, 5271, 7690, 814, 2944, 9645, 960, 547, 713, 1439, 267, 19620, 610, 18949, 532, 4609, 540, 1114, 10764, 538, 519, 2197, 269, 634, 1297, 540, 17468, 3140, 20375, 568, 3833, 1804, 563, 25387, 267, 519, 8575, 639, 1961, 636, 540, 631, 3326, 320, 7754, 1695, 966, 698, 604, 538, 519, 2749, 540, 1744, 2313, 320, 568, 1373, 18949, 539, 609, 519, 1489, 540, 519, 1261, 11770, 541, 1325, 12011, 5271, 7690, 543, 896, 519, 15569, 540, 29494, 13568, 779, 3689, 21470, 5518, 2725, 327, 1026, 534, 1325, 12011, 21416, 563, 30265, 523, 1014, 9810, 1996, 29494, 13568, 779, 3140, 20375, 454, 19284, 18433, 807, 267, 29494, 13568, 5170, 547, 7494, 3565, 547, 519, 1158, 779, 2686, 6561, 998, 519, 1261, 11770, 541, 1325, 12011, 5271, 7690, 269, 10251, 267, 18433, 807, 267, 799, 1185, 22002, 513, 3609, 540, 14699, 547, 519, 4266, 267, 5170, 547, 1491, 513, 4625, 1114, 1935, 269, 18433, 807, 3592, 4625, 10032, 519, 2686, 6561, 540, 519, 29494, 329, 8643, 1004, 1282, 519, 476, 1789, 4458, 1279, 13567, 540, 29494, 329, 8643, 11182, 269, 18433, 807, 814, 8810, 3294, 547, 581, 513, 642, 663, 531, 1533, 602, 23542, 1639, 7366, 540, 3909, 267, 2686, 543, 3140, 20375, 563, 763, 3486, 2923, 568, 1100, 3476, 967, 27075, 547, 519, 3046, 8663, 545, 3527, 540, 18433, 2103, 267, 10223, 519, 29515, 14699, 1996, 519, 538, 1260, 1706, 762, 2686, 6561, 538, 519, 5391, 23306, 29494, 329, 8643, 3338, 269, 14579, 20859, 1419, 3643, 519, 5391, 23306, 29494, 329, 8643, 3338, 547, 7198, 519, 4539, 540, 29515, 642, 663, 16117, 1996, 29494, 13568, 779, 3140, 543, 2686, 20375, 267, 607, 1134, 607, 519, 9552, 540, 15882, 267, 1148, 26847, 267, 9923, 13196, 543, 524, 655, 2678, 625, 563, 4263, 1459, 267, 29494, 13568, 814, 1305, 3294, 513, 1390, 4305, 1107, 519, 11808, 540, 922, 5391, 23306, 3338, 269, 4014, 930, 20375, 616, 9709, 547, 581, 17468, 267, 621, 568, 7543, 547, 2132, 7366, 540, 3140, 20375, 602, 941, 2144, 1078, 676, 519, 18433, 2103, 269, 898, 1058, 581, 7074, 602, 607, 513, 1267, 540, 519, 29515, 642, 663, 16117, 267, 1152, 513, 2582, 2922, 2679, 7283, 538, 589, 724, 17043, 267, 1634, 607, 968, 295, 30090, 540, 519, 24272, 30510, 6100, 2334, 568, 513, 9923, 4302, 267, 799, 729, 1031, 585, 4108, 5301, 676, 18433, 807, 563, 11101, 267, 519, 18433, 2103, 1031, 519, 10897, 16554, 543, 22105, 327, 24882, 23572, 267, 835, 540, 519, 1101, 1480, 17260, 267, 543, 12275, 752, 641, 752, 543, 772, 10045, 331, 1731, 974, 701, 19746, 544, 2432, 585, 4108, 5301, 543, 22393, 10032, 873, 269, 8738, 658, 544, 2432, 538, 10609, 19390, 3315, 267, 589, 724, 323, 4673, 267, 674, 15120, 25625, 543, 808, 629, 2001, 559, 13102, 267, 3504, 524, 655, 2678, 625, 267, 9723, 2125, 267, 19772, 18429, 267, 9923, 13196, 543, 17633, 267, 607, 1134, 607, 20375, 543, 824, 5656, 6580, 1394, 547, 24272, 22057, 24640, 807, 538, 1744, 2313, 320, 267, 700, 778, 514, 267, 17833, 321, 1690, 541, 267, 717, 889, 611, 2993, 267, 2098, 836, 559, 534, 543, 674, 15120, 25625, 941, 23542, 1639, 676, 29515, 3046, 321, 12579, 563, 763, 2749, 540, 1744, 2313, 320, 267, 1572, 519, 2686, 3854, 540, 519, 24272, 30510, 267, 729, 849, 16271, 547, 29515, 642, 663, 16117, 269, 4438, 519, 13567, 267, 1034, 540, 519, 3140, 20375, 538, 1744, 2313, 320, 941, 986, 7458, 547, 519, 2666, 269, 12891, 698, 6062, 29583, 9618, 698, 3873, 267, 962, 4157, 327, 926, 29583, 9618, 698, 3873, 267, 918, 5255, 541, 2993, 267, 631, 731, 514, 2993, 267, 808, 6373, 9923, 13196, 267, 2777, 15882, 540, 21184, 29494, 329, 8643, 21917, 772, 2763, 344, 597, 670, 1690, 756, 5674, 990, 543, 519, 13653, 540, 3318, 13047, 1148, 10089, 12712, 267, 519, 20066, 13216, 540, 10609, 2720, 327, 644, 14465, 340, 14844, 24170, 267, 519, 544, 753, 687, 540, 674, 597, 644, 514, 581, 344, 918, 5255, 541, 2993, 543, 2098, 2129, 4599, 21161, 990, 338, 267, 543, 519, 8575, 639, 1961, 636, 540, 1390, 29494, 329, 8643, 10564, 267, 642, 714, 1512, 540, 519, 12275, 629, 27895, 16679, 267, 631, 3326, 320, 7754, 1695, 966, 698, 604, 941, 642, 663, 531, 1242, 676, 18433, 2103, 269, 4746, 267, 824, 29494, 329, 8643, 3601, 941, 964, 1815, 3603, 543, 1031, 585, 1585, 5301, 563, 2414, 4266, 267, 519, 12080, 540, 9177, 540, 29494, 13568, 814, 10805, 936, 476, 6110, 10032, 20375, 538, 519, 2197, 779, 5391, 23306, 3338, 269, 6969, 519, 13567, 267, 519, 2698, 1297, 540, 20375, 538, 519, 5391, 23306, 29494, 329, 8643, 3338, 729, 476, 274, 267, 1822, 563, 30265, 523, 1014, 642, 663, 1023, 4769, 1406, 1152, 6861, 7366, 540, 5656, 267, 5493, 2167, 267, 9923, 13196, 267, 695, 21218, 543, 17633, 267, 855, 849, 588, 1961, 6149, 24112, 267, 3504, 9723, 2125, 267, 544, 2432, 543, 3140, 15225, 855, 3576, 873, 547, 962, 699, 7079, 269, 1358, 10032, 1018, 789, 1223, 267, 543, 3576, 1346, 3688, 602, 1223, 581, 16487, 547, 18433, 807, 269, 769, 1744, 2313, 320, 267, 476, 279, 15882, 543, 476, 4029, 8021, 723, 1044, 10032, 269, 4746, 267, 519, 642, 663, 1023, 561, 2393, 539, 827, 476, 4335, 271, 15225, 540, 519, 2749, 779, 8466, 7467, 267, 634, 29494, 13568, 2961, 7065, 7467, 543, 519, 7467, 540, 28477, 543, 11930, 8551, 540, 519, 1744, 2313, 320, 7936, 267, 827, 476, 1911, 271, 15225, 540, 519, 10127, 629, 12112, 3557, 8466, 7467, 267, 811, 982, 476, 4968, 3688, 540, 519, 21917, 772, 2763, 344, 597, 670, 1690, 756, 5674, 990, 267, 519, 13653, 540, 3318, 7574, 1148, 540, 29494, 13568, 267, 827, 476, 6110, 3688, 540, 519, 22256, 10089, 12712, 267, 811, 982, 476, 1911, 3688, 540, 519, 22459, 543, 7376, 19257, 20176, 8999, 18937, 341, 629, 269, 4340, 547, 519, 4013, 1239, 267, 476, 2420, 15882, 543, 9754, 8371, 609, 811, 982, 476, 1911, 267, 1822, 2686, 13742, 941, 10032, 538, 519, 5391, 23306, 11182, 563, 763, 4843, 5013, 5693, 1397, 519, 6708, 540, 519, 3441, 1102, 21719, 593, 711, 1152, 29494, 13568, 855, 593, 519, 1158, 779, 2686, 6561, 269, 10251, 267, 1082, 2477, 543, 519, 1158, 2146, 14120, 519, 4139, 4303, 585, 3933, 3701, 543, 19866, 26317, 1869, 1810, 1406, 5660, 519, 29515, 642, 663, 16117, 267, 543, 585, 930, 2601, 267, 789, 10714, 519, 10963, 8149, 676, 962, 699, 7079, 543, 519, 21393, 1996, 938, 3084, 543, 2686, 6561, 563, 1432, 338, 1952, 1535, 16745, 1777, 574, 714, 910, 476, 271, 3583, 476, 23470, 476, 2412, 476, 1839, 0, 7628, 4638, 12093, 267, 2043, 616, 4646, 602, 8428, 689, 741, 3237, 538, 29294, 543, 26737, 267, 799, 568, 6913, 676, 3157, 538, 32450, 543, 2036, 514, 894, 13260, 563, 1475, 10517, 3174, 540, 7103, 538, 519, 9000, 540, 519, 4638, 1184, 269, 12769, 2720, 1510, 13708, 23176, 12760, 269, 8307, 835, 2385, 568, 3238, 538, 513, 25757, 12093, 269, 769, 713, 2013, 267, 18939, 630, 743, 2158, 264, 9838, 547, 621, 616, 4646, 454, 1475, 6614, 770, 267, 4551, 267, 12277, 454, 1475, 1492, 1184, 538, 1034, 24087, 4925, 2404, 609, 519, 1646, 540, 1007, 7103, 689, 10351, 2281, 630, 514, 27033, 32698, 24087, 4925, 267, 519, 22140, 1685, 519, 1599, 540, 10351, 2281, 538, 17788, 566, 994, 1475, 21065, 753, 267, 1034, 2371, 543, 2831, 454, 763, 6211, 2495, 540, 4638, 12093, 568, 547, 9192, 519, 4719, 1344, 540, 519, 15366, 2043, 267, 7551, 2810, 519, 4719, 4763, 540, 519, 15556, 563, 8855, 281, 634, 1184, 540, 1565, 513, 1268, 16569, 513, 10715, 269, 634, 1871, 540, 519, 1482, 1702, 585, 1114, 1004, 949, 581, 1114, 267, 621, 568, 5462, 676, 741, 1367, 4162, 543, 2115, 269, 4475, 267, 1702, 568, 2141, 2877, 693, 1022, 2085, 543, 2990, 269, 0, 300, 15412, 2723, 1763, 269, 476, 1708, 272, 4455, 476, 277, 282, 27886, 281, 14695, 278, 6924, 269, 8222, 281, 476, 1015, 269, 6200, 277, 10768, 269, 6193 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1101, 5022, 540, 513, 2754, 540, 14639, 6261, 18824, 932, 1551, 553, 685, 3659, 968, 298, 328, 892, 1373, 5916, 609, 968, 290, 611, 6100, 1809, 621, 1631, 814, 1100, 2495, 824, 982, 1373, 519, 2012, 540, 519, 3301, 24194, 563, 298, 328, 290, 611, 568, 513, 1863, 267, 2653, 547, 4647, 3301, 602, 568, 1031, 585, 5907, 1374, 12957, 630, 3633, 288, 264, 543, 2780, 8584, 3660, 1374, 630, 21020, 1040, 2755, 1210, 713, 1982, 267, 20111, 1374, 1085, 24136, 666, 581, 7691, 689, 741, 5122, 11387, 269, 10738, 267, 972, 616, 2645, 602, 1450, 519, 5137, 540, 513, 3915, 540, 2326, 630, 289, 6865, 1070, 11247, 267, 476, 274, 291, 2070, 540, 519, 20111, 1341, 3334, 543, 15168, 828, 6119, 269, 3245, 519, 20104, 540, 27411, 290, 611, 2324, 1184, 267, 737, 328, 290, 611, 3091, 1210, 540, 1104, 610, 13143, 2409, 547, 1118, 519, 1184, 540, 3257, 519, 1788, 4443, 676, 4946, 2944, 543, 6192, 3785, 610, 3334, 543, 1175, 22212, 593, 873, 1287, 13143, 873, 547, 519, 4941, 3758, 10137, 563, 8601, 922, 10486, 609, 824, 20111, 1374, 3301, 267, 27411, 290, 611, 568, 27537, 676, 513, 2189, 20104, 538, 799, 28176, 454, 4818, 7859, 543, 29066, 616, 5094, 269, 8307, 1310, 2870, 513, 28176, 616, 29066, 8655, 547, 519, 3334, 563, 763, 27411, 290, 611, 20104, 568, 16922, 540, 1079, 1292, 4247, 281, 5373, 519, 28176, 543, 18413, 856, 519, 4604, 269, 5637, 513, 454, 2675, 11490, 5057, 5399, 543, 513, 20111, 11640, 5399, 616, 2556, 585, 891, 1079, 4247, 269, 27411, 290, 611, 2882, 1082, 454, 4818, 7859, 543, 29066, 267, 543, 849, 814, 519, 2645, 547, 1711, 1007, 3283, 269, 769, 519, 4605, 2630, 267, 596, 1294, 513, 2095, 24577, 8204, 519, 27411, 290, 611, 20104, 269, 634, 2095, 24577, 6941, 799, 3268, 596, 991, 547, 1491, 267, 543, 538, 799, 1931, 269, 1879, 10858, 267, 519, 12835, 568, 3773, 585, 13418, 563, 289, 2940, 987, 922, 13737, 2627, 267, 27411, 290, 611, 16621, 606, 17715, 26254, 540, 519, 1739, 3301, 2645, 912, 268, 27411, 290, 611, 281, 5741, 9614, 454, 268, 661, 525, 17057, 320, 630, 9928, 11490, 11768, 9375, 2567, 2480, 11490, 9375, 543, 5057, 9375, 454, 268, 623, 322, 321, 2908, 630, 15425, 289, 11768, 9375, 2567, 18065, 4604, 11768, 9375, 543, 11640, 9375, 454, 268, 717, 8538, 8698, 630, 294, 518, 828, 7348, 518, 2567, 15168, 828, 21951, 454, 274, 10626, 2645, 616, 849, 3769, 912, 268, 9779, 14090, 273, 15253, 9426, 281, 3281, 9426, 20536, 585, 27291, 269, 898, 5932, 513, 28176, 5057, 610, 513, 11640, 689, 513, 3787, 14090, 4605, 563, 268, 623, 322, 321, 15612, 1807, 281, 589, 9498, 602, 568, 5363, 547, 5173, 3334, 585, 22124, 267, 3950, 8700, 8957, 1699, 267, 6771, 3515, 267, 3092, 563, 268, 623, 698, 601, 599, 719, 15503, 281, 8525, 11768, 9375, 563, 4322, 2645, 666, 581, 2196, 607, 1796, 17038, 821, 2645, 610, 2196, 689, 519, 1788, 9614, 950, 596, 1376, 737, 328, 290, 611, 563, 298, 328, 290, 611, 1281, 711, 1459, 1022, 4604, 20695, 20159, 543, 621, 666, 6023, 909, 547, 476, 3953, 7601, 6106, 267, 476, 1691, 2930, 6106, 543, 476, 275, 25581, 6106, 563, 298, 328, 290, 611, 666, 1711, 782, 519, 6119, 2556, 585, 2679, 9102, 5547, 12545, 267, 1519, 912, 268, 15168, 828, 6119, 585, 8666, 268, 7120, 1562, 454, 268, 17656, 6119, 454, 268, 5057, 4087, 6119, 454, 18455, 1930, 2707, 630, 294, 12195, 13931, 1070, 27411, 290, 611, 4564, 519, 4998, 1907, 585, 3785, 20218, 2509, 519, 5137, 540, 5907, 8800, 609, 606, 1930, 21299, 30993, 563, 298, 328, 290, 611, 568, 2139, 585, 12380, 267, 8837, 543, 11197, 5672, 5308, 269, 3590, 21976, 630, 14551, 2264, 267, 3301, 543, 1808, 264, 616, 1134, 4330, 1934, 563, 3721, 676, 5153, 19019, 454, 2171, 8263, 602, 596, 723, 519, 27411, 290, 611, 642, 276, 2907, 8704, 563, 291, 19302, 26487, 593, 519, 27411, 290, 611, 30246, 547, 1376, 519, 1982, 563, 2791, 786, 1294, 27411, 290, 611, 1788, 9614, 6885, 8118, 563, 298, 545, 611, 1788, 9614, 543, 922, 3334, 454, 298, 328, 290, 611, 1788, 9614, 568, 513, 1907, 799, 666, 3362, 2196, 519, 824, 2645, 630, 2675, 11490, 543, 20111, 15769, 267, 15168, 828, 21951, 543, 10626, 2645, 264, 950, 2870, 513, 1374, 269, 26121, 519, 824, 2645, 689, 27411, 290, 611, 9614, 814, 930, 5383, 912, 268, 3444, 2625, 532, 1063, 28176, 9375, 543, 4604, 9375, 563, 268, 3444, 2625, 532, 1063, 28176, 9375, 543, 11640, 2824, 528, 630, 290, 341, 303, 322, 321, 1916, 4913, 267, 596, 666, 1152, 12575, 519, 1699, 1788, 6119, 269, 1879, 891, 2645, 616, 2196, 538, 1796, 4805, 7154, 267, 596, 666, 1930, 1022, 3758, 538, 1022, 1788, 855, 3444, 2625, 532, 1063, 2645, 666, 2285, 9490, 2164, 563, 268, 32001, 2140, 269, 31698, 519, 4528, 540, 27411, 290, 611, 543, 2407, 2619, 547, 519, 3758, 538, 946, 563, 273, 269, 6301, 1283, 10624, 269, 1230, 13935, 513, 1592, 540, 3681, 610, 12981, 4843, 547, 519, 3593, 563, 274, 269, 5440, 1907, 8663, 269, 27411, 290, 611, 1283, 1907, 8663, 2636, 585, 930, 2596, 3758, 4238, 912, 268, 1007, 1788, 269, 8073, 513, 1007, 1788, 269, 1403, 519, 9949, 10959, 3758, 630, 330, 545, 611, 269, 2889, 264, 568, 1336, 538, 737, 545, 611, 14121, 6374, 622, 267, 621, 568, 23652, 883, 519, 2324, 15682, 563, 268, 1007, 1788, 609, 10959, 269, 8073, 513, 1007, 1788, 689, 606, 4540, 10959, 563, 268, 1930, 1788, 269, 7046, 606, 4540, 1788, 563, 268, 4688, 1788, 269, 22352, 543, 4688, 519, 1699, 1788, 3529, 563, 268, 23407, 269, 8073, 513, 23407, 21287, 540, 519, 2898, 1788, 269, 901, 2882, 28176, 6119, 267, 8021, 267, 20111, 267, 3092, 563, 268, 882, 1933, 269, 4676, 3306, 519, 3529, 2070, 267, 3006, 2877, 1310, 513, 3529, 1689, 563, 275, 269, 5741, 3529, 2070, 269, 634, 1788, 3529, 2070, 3568, 519, 6119, 543, 1463, 1559, 602, 1118, 909, 707, 1788, 269, 1403, 596, 723, 1175, 8704, 27411, 290, 611, 267, 1287, 713, 1858, 786, 581, 8900, 269, 17677, 12641, 10107, 593, 519, 28176, 3758, 8255, 519, 2480, 11490, 11768, 9375, 267, 538, 713, 2013, 6679, 519, 3758, 27411, 25205, 19061, 274, 4732, 577, 269, 17677, 12641, 10107, 593, 519, 4604, 3758, 8255, 519, 20111, 11768, 9375, 267, 538, 713, 2013, 6679, 519, 3758, 27411, 25205, 19061, 274, 21993, 545, 611, 7272, 322, 321, 269, 9406, 14467, 593, 1022, 540, 519, 6119, 538, 519, 1788, 3529, 2636, 13598, 3758, 12879, 563, 276, 269, 7780, 1006, 10131, 533, 2033, 269, 634, 10131, 533, 2033, 568, 1500, 540, 519, 476, 279, 16181, 2630, 602, 5330, 547, 519, 1739, 12981, 630, 272, 547, 476, 279, 267, 689, 2451, 547, 1318, 2187, 347, 272, 1475, 292, 525, 17057, 320, 1475, 9928, 11490, 20233, 719, 9375, 8198, 347, 273, 1475, 15228, 2513, 15503, 1475, 15253, 9426, 9375, 543, 5057, 5399, 9614, 8198, 347, 274, 1475, 303, 322, 321, 2908, 1475, 15425, 289, 11768, 9375, 8198, 347, 275, 1475, 293, 2393, 2745, 15503, 1475, 293, 2393, 2745, 9375, 543, 11640, 5399, 9614, 8198, 347, 276, 1475, 294, 8538, 1613, 1475, 294, 518, 828, 21951, 269, 898, 666, 2070, 15168, 828, 6119, 543, 4159, 3220, 650, 6119, 8198, 347, 277, 1475, 30531, 14090, 273, 4818, 9426, 1475, 30531, 14090, 547, 5057, 20303, 269, 15484, 547, 1628, 513, 11640, 610, 513, 5057, 689, 513, 645, 261, 310, 3787, 14090, 3239, 547, 1711, 27291, 8198, 347, 278, 1475, 303, 322, 321, 18185, 1475, 307, 944, 547, 5173, 3950, 11097, 2195, 267, 543, 1082, 824, 1919, 8198, 347, 279, 1475, 303, 698, 601, 599, 719, 15503, 1475, 17273, 11768, 9375, 267, 547, 1711, 11305, 2396, 1125, 7406, 8100, 8198, 277, 269, 24606, 6885, 269, 1230, 13935, 513, 1592, 540, 782, 2238, 2944, 1369, 27411, 290, 611, 1788, 9614, 563, 298, 328, 290, 611, 6119, 543, 32766, 454, 298, 328, 290, 611, 5932, 543, 3096, 6119, 609, 519, 1739, 1808, 3758, 24909, 630, 663, 32766, 264, 585, 2480, 11490, 11768, 543, 20111, 11768, 11049, 563, 298, 328, 290, 611, 1788, 9614, 3758, 912, 347, 29688, 2889, 1475, 22102, 3758, 5627, 513, 1906, 6724, 585, 519, 1699, 1788, 267, 1519, 519, 5057, 5399, 1592, 8198, 9928, 11490, 20233, 719, 15503, 6119, 912, 347, 29688, 338, 577, 1475, 9928, 11490, 6119, 267, 799, 798, 711, 2270, 519, 3334, 2933, 8198, 347, 29688, 12221, 1475, 9928, 11490, 5057, 5399, 6119, 267, 5627, 519, 5057, 11673, 281, 8642, 3337, 267, 20382, 267, 4610, 8198, 347, 29688, 323, 9492, 1475, 9928, 11490, 5057, 5399, 12319, 267, 5627, 930, 5057, 11673, 281, 8292, 267, 17161, 267, 4704, 547, 1239, 9212, 8198, 347, 265, 318, 322, 5995, 7456, 756, 1475, 9928, 11490, 5057, 5399, 21461, 3758, 267, 5627, 513, 5299, 540, 519, 3334, 1031, 538, 519, 28176, 1788, 8198, 347, 22131, 2000, 756, 2389, 762, 1475, 15228, 2513, 5399, 1592, 630, 32188, 5399, 3349, 2567, 1592, 540, 3090, 8021, 2139, 538, 519, 28176, 11768, 9375, 8198, 15425, 289, 11768, 9375, 6119, 543, 32766, 912, 347, 29688, 330, 545, 611, 7272, 322, 321, 1475, 32317, 3758, 5627, 782, 9623, 855, 519, 2985, 11768, 8198, 347, 29688, 13133, 1399, 1475, 293, 2393, 2745, 5399, 32766, 269, 634, 17835, 3294, 568, 519, 5399, 8198, 347, 29688, 330, 545, 611, 318, 7116, 1475, 293, 2393, 2745, 6119, 267, 5627, 835, 11640, 6609, 1142, 8198, 347, 29688, 1962, 323, 1475, 32317, 3758, 538, 519, 9371, 3898, 269, 2052, 581, 1224, 267, 855, 711, 2854, 267, 676, 519, 1699, 20111, 11768, 9375, 8198, 347, 29688, 7116, 1475, 293, 2393, 2745, 5399, 538, 519, 9371, 3898, 269, 2052, 581, 1224, 676, 519, 11640, 610, 519, 20111, 11768, 9375, 267, 855, 711, 2854, 8198, 347, 325, 335, 2000, 756, 2389, 762, 1475, 293, 2393, 2745, 5399, 1592, 630, 20584, 2745, 5399, 3349, 2567, 1592, 540, 11640, 8021, 630, 341, 13895, 12043, 264, 799, 616, 16041, 676, 519, 4604, 610, 519, 11640, 9375, 610, 595, 341, 303, 322, 321, 8198, 347, 29688, 330, 545, 611, 16062, 802, 1475, 17273, 11768, 6609, 6119, 267, 585, 1004, 945, 1616, 513, 4976, 609, 513, 2688, 1413, 8198, 347, 29688, 6339, 1475, 15187, 4289, 3758, 2813, 676, 519, 28176, 267, 543, 1224, 676, 519, 4604, 9375, 269, 901, 3758, 568, 2404, 547, 519, 1547, 322, 5404, 3758, 267, 585, 3755, 945, 4782, 513, 5094, 3758, 585, 519, 5057, 11721, 2393, 2745, 7681, 8198, 347, 29688, 322, 5404, 1475, 10112, 27937, 1063, 3334, 1031, 538, 519, 28176, 543, 741, 29066, 269, 898, 666, 581, 2813, 676, 623, 322, 321, 2908, 543, 16865, 676, 661, 525, 17057, 320, 269, 4706, 3483, 568, 547, 1104, 2242, 689, 623, 322, 321, 2908, 547, 661, 525, 17057, 320, 267, 585, 3755, 945, 1689, 29066, 3330, 623, 322, 321, 2908, 630, 1721, 3236, 1210, 16510, 14272, 21646, 4971, 264, 543, 1616, 547, 1104, 891, 2242, 538, 28176, 8198, 5445, 616, 6383, 676, 27411, 290, 611, 585, 21753, 610, 12319, 563, 347, 29688, 326, 1962, 1475, 294, 518, 828, 6119, 267, 585, 21753, 8198, 347, 29688, 20142, 331, 1475, 7804, 650, 6119, 630, 2750, 3250, 517, 3898, 1070, 585, 21753, 8198, 347, 29688, 1842, 1475, 303, 3789, 6119, 630, 3008, 290, 2862, 3898, 1070, 585, 13128, 24450, 6191, 8198, 347, 29688, 337, 696, 1475, 27751, 6119, 630, 3008, 290, 2862, 3898, 1070, 585, 12319, 8198, 347, 29688, 1186, 1475, 5522, 582, 6119, 630, 8070, 27771, 1070, 585, 12319, 8198, 347, 5522, 582, 6119, 630, 14457, 3898, 1070, 585, 12319, 8198, 347, 29688, 12364, 326, 1475, 5522, 582, 6119, 630, 306, 309, 294, 3898, 1070, 585, 12319, 8198, 347, 29688, 11459, 325, 1475, 5522, 582, 6119, 630, 291, 311, 293, 3898, 1070, 585, 12319, 8198, 347, 29688, 10823, 1475, 5522, 582, 6119, 630, 27426, 21923, 3898, 1070, 585, 12319, 8198, 298, 328, 290, 611, 30246, 10569, 454, 298, 328, 290, 611, 814, 1079, 5686, 540, 1644, 855, 1114, 30246, 10569, 281, 5787, 1807, 10569, 543, 3905, 12399, 269, 5637, 616, 1031, 547, 3432, 909, 2324, 538, 27411, 290, 611, 676, 1210, 519, 13691, 3079, 540, 519, 10856, 547, 1689, 12981, 563, 10907, 5120, 1807, 10569, 269, 24665, 1807, 10569, 723, 519, 1482, 1198, 607, 14467, 593, 513, 10624, 610, 1907, 8663, 12835, 281, 519, 4971, 786, 581, 9411, 855, 4986, 786, 4755, 2394, 519, 2451, 10856, 7735, 568, 4945, 539, 269, 2422, 606, 5787, 1807, 1883 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14178, 3564, 519, 3959, 547, 519, 10210, 619, 2123, 7221, 269, 0, 5723, 3036, 5456, 2562, 3201, 645, 7495, 312, 5084, 3036, 301, 16774, 454, 2171, 782, 899, 547, 10571, 909, 543, 1413, 938, 1655, 10838, 2828, 543, 1920, 267, 543, 16971, 1004, 616, 1100, 1114, 269, 4438, 1554, 3562, 6377, 2238, 538, 519, 2250, 267, 1360, 2370, 729, 12816, 543, 519, 2596, 19799, 906, 941, 2241, 2212, 13164, 267, 6186, 13164, 267, 543, 22765, 26797, 269, 6145, 9925, 749, 2044, 267, 824, 1507, 3688, 941, 1419, 3773, 267, 3850, 1004, 547, 2769, 741, 23141, 1369, 519, 8155, 540, 519, 2486, 563, 1103, 7041, 585, 30060, 14026, 267, 2250, 543, 1459, 267, 16971, 1004, 2445, 2030, 1570, 799, 789, 5478, 883, 14969, 2212, 323, 19843, 543, 824, 1560, 23732, 269, 1358, 6968, 1808, 5017, 799, 616, 2877, 547, 1683, 7990, 995, 13692, 23598, 267, 543, 789, 3006, 3382, 741, 4703, 609, 10412, 2914, 944, 899, 1570, 689, 16760, 17382, 5810, 267, 824, 2371, 267, 543, 6177, 13692, 1524, 563, 763, 1560, 19799, 906, 543, 1560, 7206, 12816, 676, 16971, 1004, 9867, 2429, 519, 2197, 269, 769, 519, 6609, 540, 1560, 19799, 906, 1934, 267, 789, 616, 5258, 883, 1079, 2516, 281, 1346, 12816, 607, 4948, 3688, 267, 543, 1346, 11603, 585, 30060, 14026, 563, 9336, 1485, 1560, 19799, 906, 454, 7197, 540, 519, 4948, 3688, 616, 1100, 3476, 12816, 267, 2348, 1044, 8719, 676, 2413, 7802, 269, 630, 1103, 519, 2250, 267, 1004, 941, 21736, 267, 543, 1152, 538, 519, 4411, 652, 2694, 540, 7013, 5245, 1705, 789, 5957, 1502, 636, 9663, 543, 737, 30865, 5622, 9663, 27972, 6545, 1282, 5162, 8094, 9336, 1485, 1560, 19799, 906, 267, 7674, 16560, 543, 3006, 6198, 5107, 267, 3769, 912, 268, 10361, 27512, 540, 1585, 2010, 267, 12816, 676, 2367, 543, 2021, 269, 1358, 3769, 7522, 12673, 267, 23198, 27871, 267, 543, 3376, 13164, 267, 1500, 689, 2789, 6106, 540, 1480, 4552, 610, 17382, 5569, 13615, 1472, 519, 2212, 269, 9093, 1419, 20595, 513, 3376, 1106, 609, 513, 6094, 4494, 540, 3043, 10036, 14593, 883, 519, 5569, 17450, 267, 543, 13556, 936, 563, 268, 9540, 13692, 536, 31708, 941, 13615, 609, 17382, 5569, 547, 519, 4552, 610, 2212, 7171, 563, 268, 769, 6239, 5245, 267, 10733, 5991, 7491, 941, 1419, 7923, 547, 519, 4552, 540, 2021, 267, 543, 12212, 540, 2367, 563, 268, 4033, 1507, 16560, 3688, 7923, 547, 519, 4552, 610, 8288, 689, 519, 1560, 3769, 5810, 267, 3662, 4522, 1305, 538, 18300, 267, 543, 519, 1668, 1506, 21217, 540, 1507, 2831, 563, 268, 769, 1082, 2694, 540, 519, 2197, 267, 519, 17725, 31027, 636, 729, 19252, 543, 1507, 13080, 540, 5642, 543, 3574, 941, 12816, 607, 9224, 4773, 12462, 333, 846, 7633, 892, 1916, 268, 15907, 519, 8405, 267, 8405, 331, 2167, 1500, 689, 1480, 4552, 5569, 543, 3662, 9663, 5569, 941, 1455, 269, 769, 9381, 2127, 267, 1507, 16115, 941, 22815, 1027, 543, 1193, 2426, 593, 519, 12673, 269, 769, 1633, 267, 5452, 941, 1743, 2683, 543, 1193, 2426, 563, 268, 11822, 29647, 543, 5569, 6186, 13164, 941, 1031, 547, 4163, 1507, 3688, 267, 971, 607, 513, 6149, 17180, 267, 512, 26786, 2630, 519, 6512, 563, 268, 20613, 626, 26797, 1500, 689, 513, 3099, 540, 2326, 267, 1519, 1480, 4552, 5569, 267, 737, 30865, 5622, 9663, 5569, 267, 17382, 5569, 1500, 689, 3529, 26939, 267, 543, 13626, 17446, 269, 589, 1507, 561, 19123, 610, 824, 13442, 9575, 1282, 519, 1554, 1223, 581, 512, 26786, 883, 519, 22765, 12966, 267, 6028, 519, 3946, 1863, 585, 2417, 10122, 269, 27294, 971, 607, 1630, 9593, 836, 338, 267, 15731, 543, 11058, 3832, 1206, 630, 20791, 6149, 17887, 264, 1223, 849, 581, 512, 26786, 883, 519, 22765, 12966, 563, 268, 769, 6239, 5245, 267, 2367, 7923, 513, 1507, 16560, 4552, 268, 11415, 512, 553, 1088, 547, 741, 1435, 545, 24827, 267, 1247, 2021, 20595, 2110, 4552, 268, 11415, 1435, 545, 24203, 976, 563, 268, 10610, 23732, 849, 1303, 9229, 10077, 2305, 267, 950, 3515, 543, 3270, 941, 2759, 883, 1004, 779, 2960, 267, 6721, 8628, 524, 545, 520, 337, 2478, 630, 571, 2213, 26711, 1916, 268, 634, 2960, 729, 1419, 22862, 609, 3662, 11041, 543, 9600, 6404, 609, 23315, 630, 15290, 2576, 24714, 547, 2408, 3109, 518, 264, 543, 522, 577, 516, 630, 15290, 2576, 24714, 547, 2408, 811, 7990, 995, 1040, 1452, 6870, 519, 2960, 689, 15018, 543, 25305, 689, 519, 3141, 543, 2842, 563, 290, 699, 3000, 658, 10610, 1520, 1941, 618, 454, 4002, 1271, 30060, 14026, 267, 1419, 9434, 2395, 267, 1004, 1869, 979, 547, 1390, 13080, 547, 30164, 741, 4703, 269, 16819, 1524, 543, 2030, 1524, 630, 5228, 16760, 5346, 1507, 9390, 5810, 264, 568, 4294, 547, 2367, 779, 4703, 1210, 1480, 1973, 607, 519, 15441, 267, 8719, 19951, 609, 7912, 543, 1216, 267, 543, 824, 20202, 6878, 269, 6884, 519, 3068, 543, 1560, 540, 22407, 568, 3592, 4625, 21933, 3438, 730, 676, 513, 5394, 4494, 540, 1524, 269, 10610, 5862, 568, 4294, 547, 1312, 2367, 543, 2021, 563, 288, 4011, 580, 1400, 1004, 723, 6592, 741, 30060, 10571, 538, 4224, 10367, 543, 1266, 9545, 902, 2429, 519, 2197, 269, 19449, 3380, 267, 9065, 1023, 543, 824, 18305, 538, 6239, 8241, 4224, 10367, 543, 1266, 9545, 902, 1419, 21613, 519, 6272, 4294, 547, 519, 4703, 540, 22407, 563, 26123, 16971, 10367, 538, 4224, 24181, 2066, 7187, 5245, 6813, 1480, 5515, 9849, 513, 2039, 540, 2212, 323, 19843, 267, 6186, 13164, 267, 22765, 16289, 1137, 267, 1560, 5862, 543, 824, 1560, 19799, 906, 267, 1869, 12816, 593, 30060, 14026, 547, 713, 1554, 269, 769, 519, 13690, 828, 2917, 3148, 540, 5375, 5245, 538, 1880, 267, 1614, 1292, 2516, 540, 9968, 6053, 1673, 5962, 1480, 5515, 267, 1142, 609, 741, 1378, 2189, 1560, 23732, 267, 941, 4330, 676, 4224, 1148, 11001, 6424, 631, 269, 21969, 577, 538, 476, 1960, 273, 563, 307, 553, 8688, 539, 22955, 616, 27537, 676, 9849, 512, 553, 17632, 689, 741, 3649, 1235, 267, 2212, 323, 19843, 267, 7916, 543, 17525, 267, 543, 4866, 547, 606, 2038, 942, 269, 1452, 616, 4553, 676, 28564, 918, 26234, 22955, 267, 799, 3668, 512, 553, 17632, 267, 5957, 7381, 598, 673, 2212, 323, 19843, 630, 978, 611, 926, 267, 14733, 14255, 1673, 320, 268, 872, 1070, 543, 616, 2404, 609, 21083, 5546, 1034, 2693, 8204, 536, 31708, 540, 900, 340, 17207, 630, 344, 592, 21343, 267, 14733, 596, 2000, 5622, 2000, 5622, 1040, 634, 3791, 1895, 267, 799, 568, 13556, 2663, 1586, 267, 568, 18135, 697, 3487, 22955, 267, 27537, 676, 9849, 513, 22902, 6438, 610, 19943, 6438, 2212, 323, 816, 1634, 12725, 607, 23356, 636, 15843, 630, 29455, 1100, 334, 2173, 5622, 268, 549, 334, 1916, 300, 4176, 760, 597, 686, 6851, 328, 267, 513, 812, 689, 23172, 1335, 8092, 538, 519, 8832, 24540, 267, 21039, 609, 513, 2241, 13692, 2212, 323, 816, 267, 513, 5569, 12966, 1472, 519, 22765, 267, 543, 2789, 512, 553, 17632, 16304, 689, 1010, 818, 3387, 1343, 269, 1261, 11438, 513, 30060, 9126, 16304, 689, 1010, 8405, 543, 513, 30060, 29097, 2001, 1532, 541, 5523, 6741, 541, 267, 799, 814, 513, 512, 553, 1088, 7923, 269, 476, 4350, 277, 563, 21900, 1748, 676, 18496, 774, 1682, 517, 2676, 5228, 774, 1682, 517, 5384, 281, 23172, 1335, 8092, 538, 519, 476, 4350, 271, 338, 10756, 14976, 1987, 622, 2212, 323, 19843, 616, 1500, 689, 513, 3099, 540, 2326, 269, 21207, 564, 6438, 543, 598, 673, 2212, 323, 19843, 616, 14475, 689, 18202, 5346, 1957, 321, 1046, 267, 13615, 1472, 609, 17382, 5569, 267, 543, 13556, 936, 269, 4033, 2212, 323, 19843, 2874, 540, 10237, 908, 16853, 609, 17207, 543, 1524, 7923, 547, 741, 7475, 269, 2353, 12204, 540, 25481, 616, 12816, 593, 519, 2212, 269, 1879, 789, 616, 1360, 1804, 267, 519, 3946, 616, 1031, 547, 3180, 873, 543, 1832, 873, 538, 1747, 563, 288, 812, 689, 589, 750, 2023, 538, 7187, 24368, 9849, 513, 1612, 8527, 13692, 2212, 323, 816, 267, 513, 1660, 1088, 7387, 2212, 7171, 267, 513, 9224, 5642, 267, 513, 8405, 331, 864, 609, 513, 27081, 7387, 20805, 656, 993, 340, 2280, 267, 543, 8880, 26711, 936, 1010, 9221, 543, 5580, 17737, 269, 589, 6978, 814, 1044, 3773, 547, 513, 2413, 16463, 12966, 585, 16434, 344, 563, 5804, 476, 1704, 13012, 654, 663, 1359, 7324, 519, 2806, 10594, 10904, 563, 310, 320, 626, 5463, 2610, 543, 2561, 754, 1137, 454, 15919, 3376, 26797, 267, 1500, 689, 1480, 4552, 5569, 610, 17382, 5569, 267, 616, 1500, 4481, 585, 30060, 14026, 269, 21661, 7187, 5245, 267, 30060, 1236, 16630, 610, 24203, 976, 616, 1500, 689, 17446, 540, 13626, 610, 17382, 5569, 543, 13793, 1524, 899, 6371, 1236, 16630, 563, 26452, 3688, 616, 512, 26786, 883, 519, 22765, 12966, 607, 851, 540, 30060, 10571, 269, 1452, 1331, 5569, 512, 553, 17632, 630, 514, 9456, 23172, 1335, 8092, 267, 543, 538, 519, 13690, 828, 2917, 538, 519, 2250, 264, 536, 31708, 540, 900, 340, 543, 824, 17207, 630, 10843, 719, 5245, 1070, 8371, 630, 10843, 719, 5245, 1070, 27081, 7387, 630, 517, 519, 13690, 828, 2917, 5032, 1070, 543, 18955, 3688, 630, 659, 1484, 7187, 5245, 1040, 3509, 3688, 540, 30060, 10571, 2408, 593, 2038, 1480, 5515, 13556, 676, 16971, 1004, 563, 8448, 24583, 3000, 658, 27294, 454, 8448, 3688, 12816, 593, 30060, 14026, 1331, 9221, 3444, 13164, 267, 17094, 7410, 609, 21364, 8371, 630, 6518, 1118, 513, 15309, 1782, 6846, 950, 1004, 7544, 1070, 543, 30060, 11435, 267, 799, 616, 12816, 676, 1762, 8695, 18460, 22612, 543, 15748, 2367, 538, 23172, 1335, 8092, 269, 0, 8967, 514, 3122, 5288, 269, 25328, 281, 16338, 543, 18948, 454, 288, 8095, 3122, 12926, 4016, 547, 606, 4587, 267, 796, 3405, 3072, 4807, 267, 1247, 513, 20277, 18575, 606, 796, 3405, 3072, 812, 563, 11795, 2397, 9737, 1975, 514, 3122, 543, 25328, 454, 8967, 514, 3122, 543, 20277, 267, 1312, 2474, 12082, 538, 3140, 543, 2686, 8658, 267, 9305, 547, 519, 29281, 4567, 540, 2043, 269, 589, 8095, 3122, 267, 538, 922, 2757, 946, 267, 6257, 606, 4587, 4807, 945, 814, 7283, 796, 3405, 3072, 267, 1419, 8876, 609, 621, 1978, 6848, 11994, 610, 11475, 269, 769, 4334, 267, 513, 20277, 4016, 547, 606, 796, 3405, 3072, 812, 267, 609, 519, 2165, 3006, 1045, 3183, 2592, 540, 2582, 2367, 2713, 10446, 610, 3056, 513, 1978, 6197, 563, 4407, 519, 2165, 8095, 3122, 814, 7361, 15468, 856, 540, 2442, 946, 1813, 547, 922, 5732, 890, 329, 20753, 896, 2023, 525, 267, 20277, 3788, 5266, 9243, 269, 898, 781, 4502, 15663, 602, 834, 4944, 514, 3122, 257, 538, 3140, 8658, 1185, 1447, 547, 798, 609, 2085, 543, 811, 547, 798, 609, 29281, 4567, 269, 2201, 519, 824, 1688, 267, 519, 2165, 20277, 814, 849, 1044, 7550, 538, 1585, 8658, 267, 899, 834, 321, 14209, 781, 4110, 2437, 6029, 922, 17545, 543, 9962, 10343, 538, 2413, 1893, 563, 2005, 781, 1271, 547, 1935, 519, 2165, 8095, 3122, 609, 8417, 269, 3683, 942, 267, 607, 6848, 2418, 543, 8155, 7960, 267, 519, 2956, 5116, 593, 29281, 4567, 814, 1447, 2989, 267, 17021, 2474, 602, 11168, 971, 4567, 525, 267, 899, 8095, 3122, 267, 1447, 4143, 269, 11531, 267, 20277, 267, 1247, 1869, 10834, 29281, 4567, 267, 814, 7307, 547, 8774, 930, 540, 922, 3312, 25664, 725, 543, 3788, 538, 946, 1510, 519, 1482, 1377, 540, 3140, 9126, 16372, 563, 1103, 2413, 2053, 267, 2474, 602, 616, 811, 9243, 899, 834, 338, 17532, 4807, 257, 610, 834, 338, 17532, 812, 257, 616, 9053, 936, 8095, 3122, 610, 1256, 20277, 267, 6606, 269, 901, 6521, 9356, 519, 9687, 6848, 5133, 593, 519, 2956, 543, 6286, 540, 29281, 4567, 538, 10747, 606, 1367, 563, 8967, 514, 3122, 5288, 269, 25328, 18948, 15873, 454, 27269, 10522, 4587, 454, 4692, 581, 890, 329, 20753, 282, 1447, 538, 946, 454, 22958, 3320, 29281, 4567, 454, 11321, 1388, 4567, 282, 849, 4081, 2796, 454, 27832, 1455, 267, 8719, 676, 834, 338, 17532, 4807, 4840, 26170, 538, 946, 282, 834, 338, 17532, 812, 257, 849, 1455, 454, 8967, 514, 3122, 5288, 269, 25328, 26479, 454, 2304, 4587, 4807, 945, 814, 2760, 9310, 563, 6624, 5929, 9089, 4183, 513, 8095, 3122, 607, 513, 3844, 1915, 563, 288, 1762, 27585, 7674, 896, 1776, 781, 7333, 1676, 538, 10120, 2053, 563, 2026, 513, 20277, 267, 646, 8179, 547, 6961, 1010, 27089, 563, 30399, 267, 513, 4807, 945, 838, 684, 8142, 610 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12675, 1974, 269, 1358, 666, 1020, 5409, 8208, 517, 8598, 2147, 547, 267, 855, 2356, 7646, 518, 982, 267, 602, 2938, 538, 1826, 8633, 717, 16256, 269, 5450, 20326, 3679, 2670, 568, 4686, 269, 634, 4524, 568, 2356, 4362, 950, 606, 23762, 6797, 543, 1486, 21310, 656, 17737, 616, 7074, 1282, 513, 2168, 6514, 269, 8447, 2208, 568, 2356, 15176, 267, 543, 5179, 1646, 949, 581, 16607, 607, 513, 12343, 540, 5492, 8205, 269, 2060, 2810, 2085, 267, 4791, 543, 23020, 17244, 7930, 993, 601, 1640, 622, 267, 543, 6952, 5346, 2208, 949, 2049, 282, 1034, 2937, 2550, 616, 28105, 269, 717, 16256, 26577, 322, 267, 1317, 540, 11682, 298, 294, 273, 13592, 267, 11148, 547, 723, 513, 811, 4049, 26737, 602, 2882, 6797, 27470, 543, 4963, 9071, 2670, 538, 6689, 269, 10765, 5359, 5815, 602, 6797, 27470, 949, 849, 2049, 538, 717, 16256, 17886, 543, 26577, 320, 269, 631, 843, 6315, 3912, 14527, 814, 1044, 4857, 1210, 661, 29558, 593, 1279, 3856, 1246, 5346, 540, 2550, 609, 717, 16256, 17886, 543, 26577, 321, 563, 29797, 16570, 20945, 568, 8966, 543, 1973, 14915, 622, 543, 579, 878, 3679, 2157, 616, 3339, 269, 631, 843, 29998, 3419, 22318, 573, 8598, 267, 5409, 3273, 6856, 1961, 8926, 267, 543, 11506, 1098, 3133, 848, 2157, 949, 581, 1459, 269, 918, 17662, 8598, 4386, 609, 17509, 269, 23398, 4255, 616, 711, 2523, 3730, 538, 10442, 891, 2550, 269, 2991, 606, 16074, 3728, 267, 1973, 14915, 622, 1377, 568, 3339, 267, 543, 7245, 540, 6722, 6782, 19310, 1080, 513, 1490, 7416, 29944, 3210, 267, 1510, 513, 4473, 538, 519, 1973, 14915, 622, 5834, 269, 634, 29944, 3210, 547, 6722, 6782, 3112, 581, 1031, 547, 10646, 1063, 8485, 800, 331, 848, 32635, 10638, 543, 3668, 540, 8485, 800, 331, 848, 3294, 269, 4935, 519, 17046, 5868, 540, 1826, 26577, 717, 16256, 3340, 4719, 4152, 610, 8990, 540, 8485, 800, 331, 848, 32635, 2534, 538, 22980, 628, 24945, 5052, 610, 32151, 14231, 269, 634, 5868, 540, 1826, 17886, 717, 16256, 666, 849, 581, 3964, 676, 4719, 4152, 610, 267, 4244, 569, 267, 676, 1028, 11691, 519, 2534, 540, 8485, 800, 331, 848, 538, 29881, 1973, 1591, 8454, 267, 543, 2356, 1281, 711, 2154, 513, 6797, 23707, 269, 26298, 8485, 800, 331, 848, 2534, 568, 3339, 282, 4887, 1277, 1108, 543, 25026, 4094, 1543, 616, 3339, 563, 1103, 519, 2250, 267, 1808, 2126, 824, 982, 21084, 540, 12675, 17509, 729, 2808, 11991, 269, 10765, 1382, 267, 2705, 267, 5267, 602, 3797, 609, 513, 1164, 3491, 12888, 2732, 543, 772, 5425, 538, 2550, 609, 717, 16256, 26577, 10607, 5276, 2208, 267, 2489, 8171, 267, 11081, 14817, 727, 326, 3315, 267, 543, 949, 581, 2404, 609, 9695, 540, 16953, 4681, 540, 6797, 27470, 269, 772, 5425, 267, 476, 273, 575, 21515, 693, 21557, 267, 3335, 11151, 31202, 20945, 543, 11337, 2670, 538, 891, 2550, 563, 5522, 553, 2742, 7280, 543, 11337, 821, 5464, 1058, 581, 2944, 22991, 269, 12618, 543, 4996, 828, 2145, 11144, 1058, 581, 5402, 16913, 269, 16316, 6797, 16953, 18362, 1058, 581, 5340, 4358, 693, 2085, 476, 276, 1296, 269, 5221, 972, 568, 2799, 1981, 540, 21404, 267, 5642, 16437, 527, 5852, 568, 5227, 2899, 2208, 568, 2347, 563, 294, 569, 322, 4094, 645, 3757, 4221, 2037, 10405, 4347, 11351, 630, 13911, 10001, 717, 16256, 267, 1656, 619, 523, 8376, 994, 2467, 568, 8766, 15717, 540, 25026, 4094, 565, 1736, 543, 6722, 821, 14003, 568, 3339, 282, 9935, 267, 31202, 20945, 568, 4686, 282, 2705, 267, 17509, 31202, 20945, 949, 2049, 950, 4049, 4963, 9071, 2670, 10953, 563, 293, 534, 935, 328, 5174, 1157, 601, 15540, 630, 13911, 2473, 296, 717, 16256, 994, 14899, 291, 2473, 296, 568, 513, 4686, 1313, 23865, 12424, 633, 4524, 6353, 676, 14817, 648, 2522, 25026, 4094, 13250, 3361, 676, 10638, 540, 519, 4863, 894, 23834, 7473, 273, 602, 18657, 919, 519, 19915, 27399, 3560, 540, 7280, 543, 7523, 716, 846, 538, 14817, 14231, 267, 25524, 12498, 2281, 267, 4283, 14231, 267, 543, 538, 519, 9938, 2711, 8685, 2737, 540, 519, 8459, 563, 30535, 2356, 1459, 538, 26638, 609, 5821, 547, 8853, 267, 5312, 13165, 689, 19346, 4731, 25388, 1632, 267, 14817, 727, 326, 3315, 267, 543, 17509, 31202, 20945, 267, 607, 519, 8884, 1063, 20555, 4679, 269, 589, 2489, 17669, 9938, 2711, 8685, 592, 14527, 609, 4049, 6722, 657, 22202, 543, 3834, 2684, 24043, 6193, 678, 1157, 1115, 616, 8984, 2934, 269, 24771, 2550, 723, 513, 7599, 11057, 3068, 267, 513, 1486, 21310, 656, 17737, 267, 2110, 588, 1155, 267, 543, 16607, 23648, 269, 17718, 7958, 616, 23762, 630, 323, 25018, 762, 676, 16953, 264, 607, 513, 1267, 540, 25026, 4094, 13250, 269, 11916, 4681, 616, 540, 4756, 10335, 563, 293, 8463, 11337, 5328, 31202, 20945, 543, 27185, 8681, 658, 5409, 16744, 20945, 543, 5409, 6549, 716, 846, 8926, 630, 8619, 4310, 676, 15176, 646, 31154, 19718, 540, 519, 1079, 14836, 264, 616, 8984, 23020, 2934, 269, 28206, 1078, 7378, 21131, 630, 20357, 540, 606, 15717, 540, 12498, 16052, 7280, 15392, 264, 949, 849, 3565, 547, 15176, 646, 31154, 7280, 19718, 543, 27185, 8681, 658, 5409, 16744, 20945, 269, 4033, 8047, 4681, 1331, 5409, 6549, 716, 846, 8926, 267, 6722, 657, 22202, 267, 17669, 22833, 12365, 622, 27830, 267, 3940, 22202, 267, 8485, 4405, 807, 267, 20902, 11254, 29403, 22202, 267, 543, 11506, 16796, 22279, 8485, 520, 848, 1377, 269, 631, 16615, 2079, 540, 519, 23834, 7473, 273, 5444, 25495, 519, 5868, 563, 293, 7528, 550, 20555, 1210, 7444, 12842, 11950, 543, 19231, 540, 7523, 716, 846, 616, 5227, 269, 26929, 566, 609, 772, 5425, 814, 513, 6225, 1198, 593, 10894, 1852, 543, 2208, 269, 674, 28229, 10307, 568, 711, 4299, 282, 4061, 713, 1395, 657, 21839, 728, 949, 581, 1031, 607, 606, 4244, 19346, 2707, 269, 4826, 543, 32690, 1590, 581, 8719, 269, 1325, 330, 8932, 949, 581, 2556, 547, 22771, 585, 17669, 8685, 983, 3679, 2670, 267, 543, 3834, 2684, 24043, 6193, 678, 1157, 1115, 3340, 29433, 19552, 543, 6171, 667, 563, 298, 564, 5328, 31202, 20945, 814, 1044, 6444, 585, 5176, 513, 2540, 607, 519, 1034, 1455, 1826, 540, 6689, 31202, 20945, 1063, 476, 272, 547, 476, 277, 1296, 540, 2085, 267, 609, 513, 1134, 7302, 541, 1461, 1242, 6881, 543, 1576, 267, 855, 606, 18106, 569, 6956, 1696, 5735, 269, 15394, 267, 713, 2783, 6799, 607, 20443, 14501, 540, 6640, 31202, 20945, 538, 519, 2034, 610, 3791, 1032, 540, 1272, 28559, 12614, 607, 2038, 607, 476, 277, 3275, 814, 1044, 4080, 269, 634, 2783, 2356, 1121, 1080, 31380, 676, 519, 2085, 540, 476, 279, 547, 476, 280, 1296, 269, 634, 5929, 1686, 568, 540, 513, 1126, 267, 1419, 513, 5256, 609, 513, 1686, 540, 1970, 4332, 7076, 267, 945, 814, 13881, 14605, 519, 3105, 1554, 610, 4413, 525, 606, 10543, 7594, 267, 568, 2352, 547, 678, 1787, 689, 3207, 519, 1985, 6640, 267, 543, 10525, 5778, 16744, 322, 13449, 545, 2589, 602, 949, 2039, 689, 29723, 1173, 344, 547, 23069, 269, 14523, 16570, 23303, 14501, 616, 2523, 2693, 547, 2049, 1282, 606, 4576, 267, 950, 1426, 6981, 568, 3908, 269, 9615, 547, 2057, 12675, 16074, 17509, 2356, 7182, 20443, 6285, 547, 1447, 982, 835, 547, 1079, 513, 1032, 563, 4263, 519, 942, 540, 31202, 20945, 267, 1164, 2157, 540, 11337, 2158, 616, 1336, 538, 11919, 543, 10729, 267, 543, 11919, 7378, 9830, 616, 26793, 267, 10834, 602, 31254, 568, 711, 3743, 585, 519, 31202, 20945, 269, 898, 3788, 796, 3553, 339, 1194, 2436, 891, 1453, 4159, 606, 18965, 267, 855, 12007, 569, 3339, 267, 10894, 3210, 547, 17509, 630, 328, 4318, 1421, 519, 2539, 1439, 540, 519, 3339, 3892, 540, 17509, 10892, 267, 968, 659, 5120, 730, 27781, 14615, 610, 2436, 11337, 5328, 31202, 20945, 4564, 513, 26945, 1895, 540, 4713, 540, 3908, 14041, 8244, 32261, 2417, 30431, 566, 269, 1280, 1383, 267, 17509, 10892, 568, 1454, 10156, 538, 1762, 12256, 1317, 540, 741, 3677, 5223, 540, 2634, 8957, 1560, 2527, 543, 4061, 616, 811, 7925, 547, 4742, 31202, 23303, 267, 950, 3728, 539, 585, 3476, 982, 476, 1321, 3108, 267, 2523, 952, 3339, 8023, 814, 1044, 15176, 676, 30604, 267, 13481, 267, 610, 13165, 1317, 540, 606, 954, 9690, 4576, 269, 2201, 519, 824, 1688, 267, 538, 1453, 5892, 8995, 607, 2348, 11337, 5328, 31202, 20945, 267, 606, 2810, 1297, 540, 1808, 10894, 12889, 723, 1044, 6444, 267, 971, 607, 7646, 3029, 540, 25026, 4094, 4859, 4713, 630, 13911, 26577, 320, 717, 16256, 264, 610, 540, 11337, 821, 13345, 269, 4935, 11337, 5328, 31202, 20945, 1058, 581, 2808, 513, 5868, 540, 17181, 543, 2417, 7634, 1058, 581, 2808, 538, 1022, 1126, 609, 11337, 5328, 31202, 20945, 945, 814, 20443, 14501, 563, 15703, 2090, 723, 3254, 602, 11337, 5328, 31202, 20945, 9356, 24598, 3174, 2864, 982, 936, 583, 16478, 540, 7280, 269, 5606, 16272, 540, 620, 29516, 267, 535, 28229, 267, 610, 9848, 1356, 565, 3132, 513, 4473, 538, 11919, 7280, 5834, 267, 1510, 1713, 2242, 538, 1973, 14915, 622, 610, 7510, 745, 341, 622, 2157, 267, 10834, 602, 519, 3003, 6722, 821, 8328, 13374, 689, 519, 1377, 540, 7510, 745, 341, 622, 568, 16856, 267, 543, 11021, 602, 513, 10638, 540, 14041, 2864, 982, 513, 8919, 538, 6722, 821, 14003, 568, 3238, 563, 10908, 1075, 6782, 28901, 513, 3339, 29944, 3210, 538, 4299, 1453, 1282, 519, 10480, 1533, 267, 855, 711, 693, 519, 942, 540, 31202, 20945, 267, 10834, 602, 25026, 4094, 32673, 11444, 616, 849, 16856, 269, 26736, 2742, 9848, 1356, 565, 2157, 616, 3339, 538, 891, 1453, 267, 538, 1312, 519, 10480, 543, 3728, 539, 2829, 269, 634, 10894, 3210, 547, 30376, 540, 645, 15121, 289, 1281, 711, 8428, 689, 602, 540, 3339, 1453, 269, 7053, 267, 519, 2157, 540, 10399, 602, 4831, 31202, 20945, 616, 14013, 11506, 267, 6466, 7378, 2157, 616, 14013, 1970, 563, 14399, 609, 11337, 5328, 31202, 20945, 723, 11919, 620, 29516, 9830, 602, 616, 4389, 538, 519, 21828, 1533, 267, 1310, 606, 16074, 3728, 267, 543, 2887, 1869, 20991, 609, 12675, 17509, 269, 21142, 710, 568, 519, 2101, 11254, 3679, 1031, 585, 6722, 821, 14003, 269, 4706, 5250, 543, 5305, 689, 4887, 1282, 5712, 540, 1608, 7595, 19231, 568, 8476, 676, 519, 4527, 540, 513, 7280, 17038, 29516, 4783, 267, 607, 1134, 607, 676, 632, 18051, 334, 5250, 689, 824, 26828, 267, 971, 607, 4839, 3481, 5832, 11254, 7408, 269, 14523, 334, 23750, 514, 8598, 538, 11337, 5328, 31202, 20945, 4440, 9356, 968, 659, 5120, 730, 27781, 2223, 2864, 982, 513, 1808, 8919, 538, 620, 29516, 10307, 269, 1306, 11329, 856, 538, 519, 3312, 6609, 540, 11337, 5328, 31202, 20945, 267, 519, 1453, 616, 4749, 4130, 982, 2085, 2173, 520, 3481, 8060, 543, 1419, 723, 513, 1686, 540, 23644, 30564, 31202, 20945, 269, 4935, 11337, 5328, 31202, 20945, 949, 3274, 2992, 519, 4389, 15395, 540, 513, 1507, 4887, 2527, 693, 606, 2085, 950, 7280, 7569, 829, 1770, 540, 1560, 2597, 547, 1489, 2634, 10307, 616, 5266, 1164, 282, 1453, 609, 11337, 5328, 31202, 20945, 949, 2099, 519, 2539, 1439, 540, 519, 3339, 2039, 585, 17509, 10892, 269, 1975, 2632, 10389, 1121, 2153, 540, 11337, 5328, 31202, 20945, 676, 2085, 476, 279, 547, 476, 280, 1296, 1522, 581, 6045, 676, 519, 2333, 538, 4887, 13557, 3448, 547, 2634, 2450, 267, 609, 513, 25739, 2333, 538, 519, 3761, 540, 1439, 18100, 14041, 267, 543, 519, 3448, 6175, 538, 7280, 10421, 829, 1770, 540, 1560, 2527, 267, 609, 2810, 2085, 563, 763, 5868, 540, 11337, 5328, 31202, 20945, 568, 9672, 676, 513, 24892, 3728, 269, 14523, 16570, 20945, 609, 11506, 11919, 674, 11902, 267, 645, 15121, 289, 267, 543, 1035, 16587, 659, 564, 622, 10953, 1369, 476, 1691, 547, 476, 2190, 3108, 538, 1034, 540, 891, 1453, 267, 6466, 3339, 1453, 540, 2147, 2085, 666, 16641, 17509, 1510, 3384, 31202, 20945, 585, 693, 2547, 476, 2190, 3108, 563, 22977, 529, 3941, 540, 11337, 5328, 31202, 20945, 666, 581, 15286, 610, 31965, 676, 21084, 540, 12675, 17509, 269, 634, 16074, 3728, 1058, 581, 27571, 547, 1447, 982, 476, 1015, 547, 476, 1321, 3108, 267, 609, 513, 21557, 15165, 5627, 19346, 543, 5401, 14254, 269, 1879, 14501, 723, 1044, 15427, 676, 4576, 267, 3237, 949, 1449, 519, 1126, 779, 10729, 585, 11337, 2158, 610, 267, 23295, 267, 11919, 645, 15121, 289, 269, 634, 5920, 540, 5409, 8208, 517, 8598, 9551, 525, 519, 31202, 20945, 676, 1896, 3108, 543, 6920, 513, 991, 585 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5116, 1164, 909, 538, 519, 4055, 269, 476, 273, 269, 9105, 267, 7316, 568, 519, 3345, 24504, 286, 7316, 568, 519, 20337, 286, 15681, 1053, 547, 2322, 741, 8930, 268, 1268, 12341, 538, 519, 8832, 25955, 547, 2099, 513, 1268, 538, 20424, 807, 1547, 476, 274, 269, 5620, 1142, 2875, 7444, 10739, 1010, 17017, 3047, 1472, 519, 3141, 630, 321, 732, 1769, 15941, 538, 4099, 540, 4055, 1070, 5402, 5329, 519, 7852, 15738, 547, 21069, 529, 693, 782, 2053, 2394, 519, 3345, 24504, 568, 15738, 4724, 519, 3141, 563, 1015, 2311, 602, 1448, 267, 723, 1053, 3247, 28835, 543, 17967, 741, 2423, 2195, 593, 519, 17887, 865, 602, 621, 568, 29869, 585, 519, 8930, 7606, 269, 9105, 267, 1677, 519, 8930, 1268, 267, 1131, 519, 3141, 1413, 1164, 610, 1970, 538, 519, 6607, 286, 1548, 4005, 568, 621, 585, 519, 8930, 1268, 267, 945, 568, 4092, 538, 519, 8832, 25955, 286, 1548, 4005, 568, 621, 538, 519, 8828, 25955, 286, 1547, 476, 275, 269, 5620, 1142, 2875, 3136, 547, 10739, 1010, 17017, 3047, 2073, 5329, 519, 7852, 15738, 547, 21069, 529, 607, 2141, 2394, 519, 3345, 24504, 568, 15738, 2476, 689, 519, 3141, 269, 11088, 267, 723, 1053, 3247, 28835, 543, 17967, 741, 2423, 2195, 865, 519, 8930, 7606, 616, 538, 519, 29869, 6377, 3141, 269, 9105, 519, 1482, 2055, 607, 1354, 269, 4746, 267, 2307, 1018, 568, 519, 3017, 538, 519, 3259, 540, 519, 8930, 781, 14692, 693, 29869, 538, 519, 5162, 543, 4832, 269, 630, 763, 14692, 568, 3476, 538, 5162, 982, 538, 4832, 4700, 9105, 2436, 789, 666, 1294, 1946, 5162, 2395, 616, 10156, 982, 4832, 2395, 1256, 1498, 519, 3047, 29226, 593, 922, 7852, 693, 513, 3586, 3432, 693, 782, 2053, 269, 0, 763, 3788, 540, 606, 3504, 774, 571, 857, 534, 25113, 543, 513, 1193, 517, 724, 1245, 538, 968, 291, 345, 515, 928, 341, 571, 892, 1858, 616, 4092, 693, 968, 10048, 770, 4275, 892, 8445, 693, 827, 476, 10204, 271, 15820, 269, 4340, 547, 12206, 621, 7389, 1394, 689, 476, 274, 6113, 2540, 645, 5861, 269, 693, 519, 2053, 540, 17722, 966, 540, 24765, 517, 269, 634, 11454, 814, 6039, 519, 645, 612, 328, 774, 571, 857, 534, 14316, 799, 20948, 713, 851, 540, 519, 7823, 269, 4706, 20577, 1185, 585, 513, 1279, 942, 849, 12199, 519, 4583, 1282, 519, 4165, 18709, 11454, 540, 2696, 667, 542, 903, 639, 269, 1488, 3832, 5505, 8044, 602, 540, 782, 476, 1704, 4224, 7254, 9822, 2456, 1336, 538, 519, 5375, 10910, 617, 2100, 865, 2484, 267, 713, 568, 1510, 513, 8969, 519, 7887, 267, 609, 519, 1034, 4241, 6189, 563, 763, 2898, 1950, 19082, 936, 476, 271, 269, 273, 688, 1141, 519, 1381, 851, 568, 11303, 676, 513, 476, 273, 544, 5394, 543, 7381, 3774, 3710, 540, 5458, 6149, 7161, 1510, 1151, 1457, 269, 634, 2698, 3259, 540, 713, 3774, 568, 827, 476, 5611, 544, 269, 4340, 547, 3744, 267, 519, 4681, 538, 519, 25113, 543, 538, 2429, 519, 3148, 1489, 519, 8367, 602, 519, 11454, 540, 667, 542, 903, 639, 729, 4440, 4092, 538, 667, 345, 515, 928, 341, 571, 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 ]
[ 685, 19670, 269, 1635, 18997, 1169, 2875, 593, 519, 4191, 540, 4965, 267, 6267, 917, 950, 547, 2638, 538, 593, 741, 2828, 563, 2005, 779, 2653, 609, 17496, 454, 1103, 6252, 267, 1295, 31559, 267, 3540, 2486, 267, 3610, 543, 1072, 3028, 7426, 616, 3238, 547, 960, 856, 1514, 543, 2229, 3889, 18363, 6690, 685, 2729, 267, 519, 4390, 540, 3084, 543, 1016, 20139, 10479, 547, 3895, 519, 2208, 540, 4008, 13710, 3872, 3255, 267, 543, 547, 2327, 2197, 15896, 543, 2092, 756, 30276, 269, 634, 6859, 540, 519, 17434, 8950, 10872, 2047, 7369, 547, 519, 3397, 12629, 585, 12655, 6713, 17644, 543, 1489, 519, 11268, 540, 3084, 4720, 4566, 543, 2994, 269, 2311, 519, 1482, 942, 267, 2638, 538, 609, 1142, 543, 1169, 835, 540, 707, 1053, 267, 952, 2009, 281, 602, 779, 519, 1655, 1259, 547, 917, 1018, 779, 2469, 593, 269, 1452, 2947, 4388, 666, 948, 596, 267, 519, 4116, 267, 2327, 596, 2461, 3257, 782, 596, 666, 547, 948, 707, 1053, 269, 7025, 543, 4317, 24727, 269, 17650, 1393, 540, 1480, 2924, 2433, 12229, 10189, 269, 4635, 1483, 5054, 267, 8121, 1281, 1614, 2101, 1919, 269, 898, 10905, 1483, 543, 5691, 3615, 269, 2311, 519, 1482, 942, 267, 2638, 538, 609, 1142, 543, 1169, 835, 540, 707, 1053, 267, 952, 2009, 281, 602, 779, 519, 1655, 1259, 547, 917, 1018, 779, 2469, 593, 269, 1452, 2947, 4388, 666, 948, 596, 267, 519, 4116, 267, 2327, 596, 2461, 3257, 782, 596, 666, 547, 948, 707, 1053, 269, 7046, 8694, 1565, 5054, 31643, 4041, 338, 946, 519, 7207, 540, 32548, 12685, 1157, 547, 1683, 1053, 609, 3255, 547, 4497, 538, 2357, 3386, 1966, 6061, 282, 5352, 267, 1449, 267, 543, 23590, 19165, 282, 2263, 543, 1521, 2035, 282, 543, 2992, 593, 1018, 789, 917, 269, 1635, 1374, 267, 971, 5054, 2154, 1025, 848, 2157, 540, 5626, 4183, 1184, 269, 4750, 540, 2506, 2869, 545, 3163, 269, 634, 981, 513, 1554, 3656, 23312, 10607, 1857, 6881, 538, 2257, 5049, 269, 1879, 519, 5046, 6855, 7142, 9505, 23957, 2066, 519, 8608, 267, 6468, 779, 10456, 2155, 775, 618, 540, 2871, 663, 17850, 760, 269, 6651, 281, 22647, 8950, 5752, 547, 31160, 6468, 267, 21989, 267, 543, 4256, 1290, 663, 17850, 760, 563, 305, 2074, 543, 27704, 454, 293, 1752, 1740, 18025, 847, 32337, 19662, 269, 19120, 8595, 21111, 4004, 21899, 269, 769, 25157, 267, 4057, 2069, 2853, 723, 3366, 547, 694, 1356, 333, 618, 543, 6690, 685, 2539, 22920, 982, 8695, 267, 2523, 538, 13004, 543, 2257, 5396, 538, 3084, 18362, 1282, 519, 2250, 2947, 1296, 269, 898, 568, 835, 540, 519, 4128, 23833, 519, 18993, 16615, 540, 6690, 689, 1796, 2421, 547, 5580, 2034, 268, 11415, 3450, 269, 4750, 540, 2506, 2869, 545, 3163, 269, 634, 981, 513, 1554, 3656, 23312, 10607, 1857, 6881, 538, 2257, 5049, 269, 1306, 10162, 539, 9528, 267, 22413, 534, 1408, 267, 543, 22413, 1069, 2714, 723, 6376, 539, 267, 4686, 568, 519, 2875, 945, 882, 8460, 2921, 4255, 610, 4116, 945, 21593, 4758, 873, 267, 16887, 950, 4152, 3217, 2476, 3407, 1362, 942, 602, 1223, 581, 2322, 547, 1732, 3096, 267, 971, 607, 6044, 267, 4901, 267, 543, 3860, 2238, 269, 769, 1840, 267, 1082, 1647, 543, 1164, 1153, 3610, 723, 3978, 22027, 827, 519, 26350, 540, 2147, 4152, 543, 9244, 1843, 547, 519, 2259, 540, 968, 974, 2286, 547, 519, 1449, 892, 1700, 935, 1356, 985, 602, 616, 4922, 3838, 1851, 3237, 267, 1153, 16984, 267, 543, 14761, 269, 6684, 267, 3610, 666, 946, 2875, 1239, 547, 2327, 602, 789, 616, 974, 2286, 693, 519, 1318, 1377, 543, 547, 12189, 741, 2069, 1759, 593, 21465, 8116, 1565, 3270, 543, 2115, 269, 4498, 1145, 532, 4357, 3854, 543, 1119, 532, 7616, 547, 2164, 547, 1628, 1394, 1732, 269, 15310, 2742, 267, 513, 536, 28123, 12251, 689, 631, 14150, 8643, 269, 1879, 594, 12628, 856, 540, 1153, 267, 594, 1223, 711, 1256, 1224, 2407, 5220, 269, 1548, 568, 811, 267, 9740, 593, 519, 1079, 3018, 1449, 729, 11932, 1732, 950, 3926, 5955, 729, 2016, 835, 1554, 267, 2864, 982, 835, 2034, 267, 1310, 519, 13927, 540, 606, 5470, 1282, 1565, 269, 9282, 713, 29810, 6376, 568, 11207, 693, 12918, 609, 519, 16164, 1676, 1014, 9598, 636, 267, 621, 568, 513, 17681, 12449, 540, 1018, 645, 329, 1251, 814, 17941, 9188, 10928, 7965, 563, 10666, 713, 2376, 454, 293, 520, 2742, 267, 513, 536, 28123, 12251, 689, 631, 14150, 8643, 269, 1879, 594, 12628, 856, 540, 1153, 267, 594, 1223, 711, 1256, 1224, 2407, 5220, 269, 6684, 267, 3610, 666, 946, 2875, 1239, 547, 2327, 602, 789, 616, 974, 2286, 693, 519, 1318, 1377, 543, 547, 12189, 741, 2069, 1759, 593, 21465, 8116, 1565, 3270, 543, 2115, 269, 4498, 1145, 532, 4357, 3854, 543, 1119, 532, 7616, 547, 2164, 547, 1628, 1394, 1732, 269, 634, 1198, 540, 936, 14048, 593, 1279, 2165, 6650, 1889, 629, 30276, 269, 28626, 6650, 1889, 629, 30276, 1510, 5787, 894, 1353, 942, 269, 20222, 18830, 6468, 543, 21989, 269, 21989, 685, 4065, 543, 5004, 269, 1879, 519, 5046, 6855, 7142, 9505, 23957, 2066, 519, 8608, 267, 6468, 779, 10456, 2155, 775, 618, 540, 2871, 663, 17850, 760, 269, 6651, 281, 22647, 8950, 5752, 547, 31160, 6468, 267, 21989, 267, 543, 4256, 1290, 663, 17850, 760, 563, 307, 8962, 585, 4147, 7741, 609, 769, 12287, 543, 22647, 4841, 269, 7454, 13088, 585, 14044, 543, 20028, 4804, 269, 7316, 2556, 267, 3277, 873, 547, 707, 1153, 3811, 1145, 12438, 518, 610, 2319, 585, 3773, 1489, 269, 7066, 5501, 1142, 2875, 786, 723, 1585, 2833, 543, 6547, 269, 7025, 543, 4317, 24727, 269, 17650, 1393, 540, 1480, 2924, 2433, 12229, 10189, 269, 2334, 729, 1946, 594, 5293, 519, 3084, 981, 609, 513, 1434, 6060, 269, 769, 25157, 267, 1152, 4939, 540, 6690, 8574, 689, 3119, 547, 2539, 29884, 4065, 3379, 547, 4939, 540, 8695, 267, 2687, 547, 519, 20648, 4790, 3482, 585, 4578, 1448, 269, 15053, 995, 1514, 2853, 543, 4008, 1759, 5208, 695, 14725, 5287, 1247, 1867, 720, 2665, 2799, 5608, 3081, 31471, 778, 3780, 269, 634, 20758, 543, 8664, 13646, 543, 3506, 5249, 5702, 609, 519, 17434, 8073, 15508, 547, 12927, 1867, 720, 6127, 563, 23612, 569, 621, 568, 19624, 602, 5012, 946, 2616, 766, 7405, 547, 6218, 543, 2015, 519, 1764, 540, 519, 1489, 543, 6098, 7459, 267, 547, 26003, 1047, 711, 1152, 952, 789, 960, 610, 711, 267, 855, 585, 7247, 543, 538, 1018, 22038, 789, 960, 269, 14936, 267, 596, 666, 946, 4879, 547, 26003, 1125, 875, 519, 2242, 547, 2790, 1072, 543, 909, 18566, 596, 616, 1332, 616, 18363, 593, 707, 2898, 1153, 269, 634, 5359, 941, 4824, 693, 22424, 26702, 2053, 1282, 519, 6855, 543, 616, 19706, 2681, 269, 634, 1101, 835, 5205, 320, 12007, 1382, 1935, 547, 3561, 519, 8369, 540, 1565, 4966, 3823, 519, 3532, 1145, 540, 6552, 543, 1121, 539, 658, 1565, 3292, 8045, 2066, 2477, 269, 5046, 543, 1153, 5008, 999, 12936, 1082, 1453, 543, 10708, 685, 2790, 1072, 543, 1134, 1373, 269, 1306, 3610, 267, 621, 568, 1270, 15363, 547, 6432, 547, 1053, 685, 4145, 543, 7703, 7198, 2790, 12200, 607, 1134, 607, 6568, 269, 4635, 835, 540, 18238, 779, 1806, 267, 594, 1522, 1589, 602, 519, 1655, 1259, 547, 1451, 513, 1888, 568, 547, 6108, 513, 1279, 942, 2542, 543, 3206, 827, 602, 5057, 851, 1888, 543, 1287, 693, 519, 1439, 540, 602, 942, 2322, 1250, 2093, 5196, 1957, 269, 1717, 267, 519, 2854, 1570, 602, 18238, 6799, 5267, 602, 954, 4944, 619, 532, 1250, 2542, 543, 3206, 609, 513, 2834, 2048, 1345, 1449, 540, 1702, 685, 1522, 2965, 2333, 1250, 1279, 2165, 6650, 1889, 629, 30276, 602, 9623, 563, 2690, 6552, 1565, 547, 581, 11327, 621, 2115, 547, 1450, 585, 3483, 995, 1079, 1259, 2168, 7613, 1063, 1053, 543, 741, 3610, 282, 971, 4205, 666, 581, 13087, 676, 1210, 519, 1034, 1813, 9015, 585, 519, 2199, 2796, 269, 14268, 607, 1883, 4891, 540, 3610, 269, 8950, 25358, 4448, 1145, 595, 10157, 568, 811, 543, 811, 1031, 711, 1152, 538, 2034, 270, 1150, 793, 1893, 3450, 855, 849, 538, 1893, 4116, 4065, 269, 901, 1353, 11567, 3845, 1053, 685, 7589, 538, 606, 2228, 4633, 1895, 31249, 585, 606, 4294, 19388, 783, 1576, 13886, 8950, 2667, 13554, 5678, 4804, 595, 17920, 269, 14755, 3246, 3631, 602, 1053, 666, 2170, 609, 267, 519, 813, 849, 2882, 11673, 540, 7429, 2010, 540, 2068, 543, 7063, 543, 1256, 2055, 602, 1053, 666, 946, 547, 1449, 741, 1100, 8412, 269, 901, 568, 2943, 1776, 813, 602, 779, 5039, 531, 693, 519, 1164, 1153, 1377, 543, 568, 15069, 19039, 569, 14018, 585, 1072, 5049, 269, 634, 5359, 941, 4824, 693, 22424, 26702, 2053, 1282, 519, 6855, 543, 616, 19706, 2681, 269, 634, 1101, 835, 5205, 320, 12007, 1382, 1935, 547, 3561, 519, 8369, 540, 1565, 4966, 3823, 519, 3532, 1145, 540, 6552, 543, 1121, 539, 658, 1565, 3292, 8045, 2066, 2477, 269, 8889, 15670, 949, 711, 26003, 1047, 519, 6286, 540, 519, 10385, 610, 949, 711, 1445, 593, 519, 2079, 1813, 547, 942, 10148, 269, 4578, 4015, 267, 2079, 267, 8244, 267, 543, 946, 949, 581, 28148, 4299, 676, 7616, 10148, 563, 25594, 3246, 1565, 1489, 267, 607, 1134, 607, 5583, 267, 543, 1683, 3063, 1489, 610, 979, 693, 513, 14887, 10605, 952, 513, 1126, 568, 4466, 621, 4674, 995, 547, 1451, 610, 7369, 269, 5192, 1404, 543, 5026, 547, 3895, 5872, 1063, 1053, 269, 594, 1616, 1200, 547, 1353, 543, 1205, 476, 280, 1234, 8408, 762, 31040, 17738, 513, 1434, 2816, 1310, 1352, 26088, 1153, 269, 1520, 4821, 1185, 519, 4960, 547, 2132, 547, 1153, 998, 519, 4745, 3646, 540, 20648, 267, 6167, 293, 5183, 543, 6167, 6468, 547, 556, 4137, 24323, 19774, 1453, 883, 519, 6101, 1153, 1062, 538, 645, 600, 752, 334, 269, 12861, 4245, 602, 946, 2799, 4641, 547, 3986, 267, 2864, 982, 5372, 267, 811, 942, 3620, 517, 10696, 2069, 4485, 4667, 547, 581, 519, 1655, 1935, 547, 1210, 519, 4702, 269, 901, 666, 581, 2944, 676, 1210, 519, 1082, 8924, 602, 1118, 2799, 4641, 971, 513, 8465, 543, 3532, 1907, 585, 946, 538, 519, 4055, 269, 0, 404, 353, 12168, 350, 12168, 355, 454, 9596, 6863, 267, 2474, 267, 543, 811, 609, 15460, 267, 3756, 267, 543, 824, 1353, 2645, 563, 8294, 12022, 25078, 404, 353, 8294, 12022, 12168, 357, 723, 454, 268, 12168, 368, 405, 481, 14507, 8294, 256, 12168, 368, 405, 481, 14507, 8294, 256, 634, 968, 404, 350, 892, 568, 513, 1350, 582, 2145, 3247, 454, 405, 496, 404, 353, 476, 405, 496, 405, 496, 12168, 355, 3738, 405, 496, 404, 352, 263, 476, 405, 496, 8294, 405, 496, 405, 496, 12168, 350, 25460, 8784, 621, 609, 513, 2370, 795, 17064, 454, 268, 901, 30569, 6941, 3197, 2854, 538, 519, 12428, 7097, 0, 16032, 8924, 547, 948, 609, 2979, 454, 2467, 568, 7454, 8924, 547, 948, 609, 2979, 602, 666, 1118, 519, 4480, 1454, 4443, 269, 4569, 666, 581, 2352, 585, 930, 1053, 267, 855, 609, 519, 1318, 2645, 267, 621, 666, 581, 22482, 563, 763, 7454, 7454, 8924, 547, 948, 609, 2979, 454, 2080, 267, 649, 786, 581, 7234, 827, 7454, 8924, 547, 948, 609, 2979, 269, 7043, 6498, 568, 519, 1184, 540, 12270, 513, 1804, 1297, 676, 513, 4130, 1297, 269, 7043, 6498, 666, 581, 2944, 609, 1957, 543, 15513, 267, 610, 621, 666, 581, 2944, 2228, 1210, 513, 9498, 269, 1403, 596, 991, 547, 7941, 513, 1297, 676, 513, 2898, 5991, 3784, 3815, 267, 971, 607, 476, 278, 267, 596, 786, 9062, 602, 1297, 676, 519, 27708, 630, 324, 3052, 1421, 476, 278, 1535, 476, 276, 815, 476, 3374, 1040, 3973, 267, 596, 786, 7941, 519, 3677, 1297, 676, 519, 1267, 540, 519, 8691, 630, 324, 3052, 1421, 476, 3374, 21680, 476, 276, 815, 476, 1321, 1040, 7053, 267, 596, 786, 1039, 519, 1079, 2338, 602, 941, 5258, 630, 324, 3052, 1421, 476, 1321, 1341, 476, 3374, 815, 476, 5392, 1040, 1403, 596, 991, 547, 7941, 513, 1297, 676, 513, 27847, 3815, 267, 971, 607, 476, 272, 270, 274, 267, 596, 786, 7941, 519, 3677, 1297, 676, 519, 1267, 540, 519, 8691, 630, 324, 3052, 1421, 476, 3374, 21680, 476, 274, 815, 476, 1321, 264, 543, 1287, 9062, 519, 4611, 6824, 676, 519, 27708, 630, 324, 3052, 1421, 476, 1321, 1535, 476, 272, 270, 274, 815, 476, 275, 1040, 3973, 267, 596 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 25034, 532, 519, 1101, 1899, 540, 519, 4367, 269, 589, 4270, 268, 1320, 4454, 19080, 281, 634, 5098, 568, 513, 5618, 6609, 540, 519, 6644, 1557, 269, 898, 11887, 519, 1964, 540, 519, 1957, 269, 1215, 547, 3503, 606, 32722, 4828, 476, 272, 264, 18430, 3194, 593, 513, 2552, 7337, 658, 13445, 7994, 513, 1641, 596, 1745, 9244, 827, 602, 779, 3181, 23534, 610, 11786, 269, 4317, 267, 1153, 610, 2199, 2152, 616, 4998, 1888, 5079, 269, 3367, 513, 3099, 540, 23674, 5380, 547, 4228, 707, 1620, 540, 519, 7521, 269, 5029, 1944, 707, 1570, 563, 4263, 519, 3942, 1141, 596, 2461, 1603, 606, 1557, 7291, 267, 707, 2093, 616, 4440, 1869, 711, 4628, 4646, 269, 1411, 1058, 917, 707, 1888, 543, 723, 2907, 2944, 930, 16861, 1382, 547, 1265, 4143, 2959, 267, 855, 1631, 596, 991, 547, 3337, 707, 2093, 883, 513, 11295, 4661, 269, 3807, 1354, 596, 1205, 1524, 547, 519, 1292, 4305, 540, 1603, 519, 1557, 267, 621, 779, 1271, 547, 8908, 606, 7291, 1101, 269, 2060, 519, 1318, 7291, 267, 1603, 606, 6644, 1557, 1131, 581, 607, 2653, 607, 8429, 513, 17180, 998, 7423, 269, 634, 6093, 6644, 1557, 3898, 5654, 899, 713, 281, 634, 4367, 634, 1292, 1560, 634, 3932, 610, 25759, 3948, 634, 4985, 5153, 476, 272, 910, 4985, 269, 769, 519, 2606, 5037, 267, 596, 991, 547, 1459, 707, 1641, 543, 1533, 707, 6644, 5693, 269, 5269, 2386, 621, 3568, 513, 5098, 3948, 1107, 513, 4845, 602, 26564, 519, 1292, 1448, 540, 707, 1957, 269, 1703, 616, 1896, 2553, 547, 2253, 707, 1557, 267, 865, 596, 666, 281, 1331, 513, 19722, 267, 1463, 4633, 267, 513, 4845, 689, 513, 1433, 610, 1404, 282, 1284, 3382, 519, 30304, 971, 607, 875, 547, 22321, 1866, 540, 707, 6644, 543, 519, 1557, 2497, 3294, 269, 634, 3652, 540, 30373, 616, 547, 2491, 707, 269, 634, 1739, 616, 519, 4388, 602, 596, 1058, 1246, 543, 2328, 513, 1390, 6644, 1557, 269, 6969, 1603, 267, 1020, 707, 2070, 593, 519, 1888, 269, 2422, 606, 3742, 5639, 269, 7994, 606, 4277, 543, 2502, 1888, 269, 3399, 609, 606, 3007, 3766, 4599, 6883, 13622, 3948, 269, 8550, 2140, 707, 1557, 609, 513, 2243, 269, 2422, 5885, 2963, 547, 19472, 707, 2990, 269, 589, 3811, 6644, 1557, 1058, 1246, 606, 7291, 269, 1677, 3927, 2328, 707, 7291, 267, 1934, 568, 513, 16866, 3391, 281, 4985, 3557, 519, 1292, 2856, 596, 786, 3343, 547, 6961, 3629, 519, 5098, 3948, 30258, 547, 1489, 519, 5098, 6301, 10610, 8422, 9433, 3962, 5037, 1058, 2491, 835, 2601, 3629, 14327, 8164, 2556, 10390, 3371, 616, 1614, 3803, 7840, 585, 1169, 2875, 5185, 609, 1557, 7291, 1603, 281, 681, 699, 611, 707, 7084, 5528, 547, 5581, 519, 1557, 1826, 543, 2262, 1293, 7687, 269, 9255, 707, 1957, 779, 2140, 543, 2407, 5098, 3948, 1657, 1101, 547, 2141, 723, 873, 693, 1688, 269, 2659, 3932, 568, 519, 3803, 4661, 1500, 676, 707, 1557, 538, 1931, 547, 22321, 519, 5467, 540, 519, 4555, 602, 596, 723, 5941, 538, 707, 1557, 269, 1879, 1603, 513, 3932, 621, 568, 1434, 547, 1413, 1394, 543, 2992, 593, 782, 519, 1114, 2093, 543, 2959, 596, 1031, 267, 543, 6218, 873, 269, 898, 568, 1434, 547, 723, 513, 2312, 3804, 538, 2247, 267, 543, 547, 917, 1018, 596, 1616, 547, 8044, 269, 1323, 1557, 568, 267, 3622, 267, 513, 4062, 540, 1603, 602, 3947, 519, 2278, 781, 1378, 4661, 267, 855, 519, 4214, 568, 22394, 267, 20718, 609, 1346, 540, 513, 4484, 267, 513, 1957, 267, 606, 2376, 267, 513, 30732, 2280, 267, 543, 513, 2110, 1650, 269, 10749, 723, 1044, 1016, 11665, 1881, 607, 6101, 543, 13016, 281, 6101, 3594, 616, 6353, 676, 834, 338, 518, 1190, 3483, 267, 15683, 267, 9266, 3919, 267, 3259, 2437, 6466, 519, 13016, 1557, 568, 6353, 676, 834, 1492, 2123, 3693, 267, 9644, 267, 11419, 995, 2511, 267, 986, 3387, 1782, 2497, 267, 14955, 3685, 1275, 610, 3209, 1399, 540, 6249, 2437, 3092, 269, 0, 294, 601, 6737, 568, 2539, 538, 3170, 982, 4672, 8645, 1317, 621, 2882, 1447, 8645, 543, 811, 5144, 267, 543, 621, 568, 669, 29354, 693, 513, 14887, 2557, 267, 4611, 538, 1447, 2011, 543, 513, 2407, 518, 8137, 269, 717, 601, 6737, 568, 1500, 609, 1447, 8645, 543, 811, 5144, 269, 1717, 267, 15074, 6737, 15320, 689, 6093, 4672, 8645, 538, 602, 621, 568, 14402, 538, 9403, 543, 814, 1447, 7423, 325, 520, 982, 2757, 4672, 8645, 269, 717, 601, 6737, 568, 4061, 811, 7199, 982, 2757, 4672, 8645, 563, 7617, 568, 8902, 15074, 6737, 610, 4672, 8645, 888, 294, 601, 6737, 3622, 3568, 1447, 8477, 267, 1447, 4006, 267, 543, 1447, 3170, 829, 7674, 982, 4672, 8645, 267, 2687, 547, 519, 10672, 269, 1879, 3379, 547, 519, 3339, 29877, 4672, 8645, 267, 799, 814, 476, 10219, 8477, 543, 476, 278, 10101, 540, 3170, 829, 7674, 267, 513, 7674, 540, 29877, 15074, 6737, 814, 476, 3445, 8477, 543, 476, 274, 10101, 540, 3170, 563, 1432, 2306, 15074, 6737, 1114, 689, 2834, 4672, 8645, 888, 28808, 19263, 281, 2755, 1312, 15074, 6737, 543, 4672, 8645, 616, 1500, 609, 8645, 267, 5144, 267, 543, 4006, 267, 8076, 15074, 6737, 3568, 811, 5144, 543, 1447, 8645, 982, 4672, 8645, 267, 543, 621, 1281, 711, 3335, 2270, 4212, 586, 565, 802, 267, 799, 616, 513, 1455, 12146, 538, 4672, 8645, 269, 717, 601, 6737, 568, 1500, 609, 8645, 267, 5144, 267, 543, 4006, 267, 855, 621, 1281, 711, 2270, 4212, 586, 565, 802, 269, 11531, 267, 7969, 15074, 6737, 3568, 1175, 476, 275, 547, 476, 280, 2600, 3170, 267, 4470, 593, 519, 11600, 563, 1432, 24508, 15074, 6737, 689, 4672, 8645, 888, 763, 23531, 540, 519, 23123, 1306, 519, 2012, 6920, 267, 4672, 8645, 814, 513, 2362, 8167, 540, 8645, 982, 5144, 267, 855, 15074, 6737, 568, 2813, 609, 513, 2362, 8167, 540, 2898, 5144, 547, 8645, 538, 6476, 547, 4672, 8645, 269, 6271, 3693, 602, 24508, 519, 1079, 568, 519, 4527, 610, 9000, 540, 4212, 586, 565, 802, 282, 4672, 8645, 3568, 4212, 586, 565, 802, 267, 855, 15074, 6737, 568, 630, 1721, 519, 1034, 851, 264, 27507, 540, 4212, 586, 565, 802, 563, 8005, 11827, 15074, 6737, 888, 7628, 519, 2034, 851, 540, 519, 476, 1626, 628, 2540, 267, 12672, 18372, 11370, 7267, 11230, 1500, 1010, 5920, 593, 519, 6429, 269, 769, 1840, 547, 1373, 513, 7986, 18048, 267, 4056, 267, 543, 11653, 267, 646, 729, 849, 513, 1134, 8153, 23153, 3434, 269, 1261, 568, 4922, 9833, 607, 519, 5169, 1807, 540, 15074, 6737, 2221, 267, 19962, 547, 519, 1249, 602, 646, 5526, 547, 723, 1044, 519, 1101, 547, 6451, 5144, 543, 5798, 883, 519, 598, 1723, 794, 563, 3963, 666, 594, 3548, 15074, 6737, 855, 711, 4672, 8645, 888, 15253, 1563, 547, 1977, 4672, 8645, 267, 15074, 6737, 814, 2484, 1447, 2011, 267, 799, 568, 6913, 676, 513, 1184, 1572, 607, 936, 14725, 267, 2687, 547, 5651, 8457, 269, 769, 519, 2136, 2276, 267, 4672, 8645, 949, 2270, 909, 547, 476, 2004, 260, 2011, 269, 898, 3587, 29779, 543, 2770, 742, 1512, 950, 6534, 547, 2011, 269, 5221, 15074, 6737, 814, 1447, 7423, 325, 520, 982, 2757, 4672, 8645, 267, 519, 7848, 568, 1769, 547, 2253, 609, 563, 294, 601, 6737, 568, 519, 7969, 2012, 585, 4672, 8645, 267, 543, 621, 2501, 689, 519, 5824, 2262, 2048, 326, 3881, 639, 16224, 799, 1797, 2048, 823, 8645, 685, 630, 325, 549, 7999, 1040, 717, 601, 6737, 568, 2539, 538, 3170, 982, 4672, 8645, 1317, 621, 2882, 1447, 8645, 543, 811, 5144, 267, 543, 621, 568, 669, 29354, 693, 513, 14887, 2557, 267, 4611, 538, 1447, 2011, 543, 513, 2407, 518, 8137, 269, 717, 601, 6737, 568, 1500, 609, 1447, 8645, 543, 811, 5144, 563, 1432, 568, 519, 3017, 1063, 15074, 6737, 543, 4672, 8645, 543, 521, 12643, 564, 888, 306, 12643, 564, 1729, 568, 513, 13792, 18397, 602, 568, 16437, 518, 982, 15074, 6737, 543, 568, 2813, 609, 6653, 2989, 10433, 267, 4829, 6986, 324, 267, 610, 1216, 269, 898, 3568, 4006, 607, 1134, 607, 8137, 902, 269, 12861, 521, 12643, 564, 568, 2147, 547, 1818, 4672, 8645, 538, 602, 621, 568, 669, 29354, 543, 814, 513, 2147, 9403, 547, 4672, 8645, 950, 8737, 269, 898, 1590, 581, 6740, 693, 513, 2539, 2837, 982, 15074, 6737, 538, 1931, 547, 2226, 922, 11007, 543, 8137, 1310, 16171, 563, 9989, 15074, 6737, 6492, 899, 4672, 8645, 888, 294, 601, 6737, 568, 1419, 8645, 1512, 267, 16437, 518, 267, 543, 21950, 2389, 8463, 982, 6671, 4672, 8645, 538, 2474, 540, 9403, 543, 8137, 269, 4340, 547, 681, 11170, 334, 267, 713, 568, 1813, 547, 519, 1259, 519, 1587, 568, 14475, 269, 4340, 547, 1200, 267, 1317, 15074, 6737, 568, 669, 29354, 693, 513, 14887, 3432, 982, 4672, 8645, 267, 621, 814, 1447, 2011, 538, 519, 7848, 982, 4672, 8645, 1281, 563, 3674, 15074, 6737, 23198, 982, 4672, 8645, 888, 294, 601, 6737, 814, 513, 14320, 16536, 1512, 1745, 543, 568, 10169, 16437, 518, 538, 11007, 982, 4672, 8645, 269, 717, 601, 6737, 779, 3638, 9403, 2636, 621, 547, 4163, 2484, 811, 8137, 982, 8723, 4672, 8645, 563, 6701, 717, 601, 520, 657, 17154, 888, 763, 5354, 540, 15074, 6737, 568, 5423, 689, 5144, 610, 8645, 267, 4006, 267, 513, 2370, 3787, 540, 2011, 267, 543, 8137, 902, 267, 1851, 824, 5820, 269, 2368, 15074, 6737, 949, 849, 1331, 4212, 586, 565, 802, 267, 2705, 713, 568, 711, 2141, 519, 2013, 269, 4475, 267, 1034, 15074, 6737, 568, 20757, 7888, 267, 8259, 596, 616, 27195, 10683, 267, 5798, 267, 610, 1312, 689, 707, 2732, 7357, 269, 717, 601, 6737, 267, 593, 519, 824, 1688, 267, 1131, 711, 581, 3617, 585, 513, 17154, 2732, 563, 1432, 779, 519, 3017, 1063, 15074, 6737, 543, 521, 615, 321, 564, 888, 306, 615, 321, 564, 814, 519, 1482, 11007, 607, 4672, 8645, 267, 855, 922, 6492, 568, 6508, 689, 4829, 1625, 19902, 269, 717, 601, 6737, 267, 593, 519, 824, 1688, 267, 814, 513, 23198, 9403, 543, 568, 811, 10053, 982, 521, 615, 321, 564, 2094, 621, 568, 5423, 676, 669, 9506, 519, 7848, 7444, 267, 3850, 585, 1447, 2011, 547, 581, 5189, 883, 519, 7848, 563, 1432, 568, 4672, 8645, 1572, 538, 7977, 888, 296, 576, 8645, 568, 5219, 547, 607, 15074, 6737, 538, 519, 7969, 1893, 269, 898, 5956, 609, 513, 8169, 731, 4493, 602, 568, 2147, 547, 602, 540, 4672, 8645, 267, 855, 621, 814, 513, 3677, 2179, 540, 5144, 543, 513, 14758, 8167, 540, 8645, 543, 5798, 630, 528, 1100, 5798, 693, 782, 1040, 898, 568, 669, 29354, 693, 513, 2484, 14887, 2557, 982, 4672, 8645, 267, 4611, 538, 1447, 2011, 1373, 3769, 543, 513, 15074, 6737, 602, 568, 16437, 518, 982, 4672, 8645, 563, 3963, 568, 15074, 6737, 865, 2442, 538, 7977, 888, 5629, 10683, 2472, 941, 5189, 267, 1142, 2197, 779, 4672, 8645, 1185, 922, 1378, 10058, 8137, 267, 609, 7977, 1373, 519, 4332, 2897, 540, 519, 8137, 16411, 1634, 607, 15074, 6737, 269, 717, 601, 6737, 779, 6492, 568, 8476, 676, 519, 1249, 602, 621, 814, 1447, 2011, 627, 5792, 883, 621, 982, 4672, 8645, 267, 4611, 538, 513, 23198, 11007, 563, 3674, 15074, 6737, 689, 7977, 888, 14532, 269, 717, 601, 6737, 267, 607, 1134, 607, 782, 824, 13792, 26265, 267, 949, 581, 14360, 1394, 547, 519, 3504, 14564, 543, 21072, 267, 1851, 824, 4529, 269, 634, 7969, 25845, 1723, 1160, 19817, 1470, 632, 328, 2051, 339, 22088, 568, 20295, 585, 6679, 519, 1158, 779, 1101, 1857, 15074, 6737, 4558, 267, 595, 2378, 2946, 28540, 2100, 267, 538, 8303, 538, 476, 12739, 277, 267, 799, 568, 1869, 538, 5106, 2221, 269, 0, 2414, 8415, 519, 2407, 998, 1584, 1761, 540, 513, 17241, 2839, 5044, 610, 1256, 513, 2582, 12210, 267, 621, 568, 2629, 547, 3390, 2789, 21276, 11339, 269, 901, 3947, 811, 3903, 547, 519, 20319, 5690, 3330, 519, 28283, 799, 267, 676, 1374, 267, 2356, 13290, 547, 11694, 519, 998, 1584, 1510, 5182, 1324, 1022, 594, 270, 11675, 269, 5015, 267, 538, 17241, 2839, 267, 519, 1297, 540, 14222, 21276, 11339, 10199, 9598, 919, 519, 1297, 540, 28283, 9843, 602, 666, 581, 6964, 538, 6252, 269, 634, 1297, 540, 14222, 21276, 11339, 13822, 513, 20313, 269, 1306, 713, 20313, 3259, 4679, 267, 1312, 519, 998, 1584, 543, 519, 3328, 3210, 942, 4679, 269, 1306, 519, 20313, 3259, 4679, 267, 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 ]
[ 1107, 1818, 596, 513, 3020, 5339, 24413, 256, 8414, 2542, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 4647, 568, 513, 3811, 1344, 540, 5823, 5133, 2835, 543, 3515, 267, 543, 568, 18762, 11051, 540, 1762, 1344, 4079, 269, 476, 279, 476, 278, 338, 1231, 5347, 4887, 2090, 519, 14540, 543, 1857, 15088, 20926, 547, 2721, 519, 11005, 540, 1283, 10022, 267, 3785, 267, 543, 1875, 26049, 6221, 593, 1297, 543, 3815, 1532, 9508, 1895, 269, 1119, 532, 1373, 25848, 2940, 661, 3394, 11161, 543, 12600, 2985, 15872, 267, 519, 6754, 16695, 540, 4469, 2948, 10886, 1436, 6212, 519, 2039, 543, 9639, 540, 10447, 543, 13875, 609, 1979, 26491, 3069, 689, 3063, 341, 6018, 30014, 2553, 30333, 1519, 2950, 540, 6991, 3204, 6819, 4992, 543, 538, 4049, 1007, 11407, 6547, 269, 1284, 723, 596, 547, 3346, 610, 581, 519, 1945, 896, 707, 590, 2454, 269, 2817, 15928, 4647, 4039, 520, 643, 2065, 610, 1374, 2262, 1004, 269, 2659, 8228, 4573, 23624, 513, 11422, 602, 713, 7662, 1223, 3226, 1174, 269, 2659, 15938, 3769, 513, 5888, 602, 713, 14175, 1223, 1256, 1129, 269, 901, 2460, 941, 11271, 538, 6620, 519, 4640, 540, 552, 20486, 689, 513, 1651, 23705, 648, 531, 23129, 540, 588, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 24336, 16520, 7073, 640, 257, 607, 851, 540, 834, 299, 25604, 14473, 595, 6020, 12087, 26113, 1315, 7489, 1315, 4457, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 4495, 2390, 513, 942, 538, 519, 14297, 2749, 540, 1715, 3840, 267, 972, 5030, 1079, 6689, 2828, 267, 15609, 543, 24138, 269, 15609, 729, 606, 23904, 543, 4998, 2065, 3486, 4123, 15818, 945, 5156, 538, 519, 1379, 540, 1863, 4123, 547, 12740, 1004, 856, 540, 6710, 269, 2201, 519, 824, 1688, 267, 24138, 729, 513, 31544, 543, 12391, 1514, 11832, 945, 4718, 20250, 875, 14051, 1223, 10413, 2199, 2950, 780, 3080, 1554, 267, 15609, 4607, 513, 2816, 2709, 689, 513, 20380, 1876, 6109, 547, 21907, 513, 2101, 4123, 6876, 1063, 519, 2136, 2276, 543, 513, 1895, 540, 3979, 6082, 269, 2701, 6785, 602, 713, 4308, 1185, 519, 1761, 547, 3142, 1713, 2640, 547, 782, 6105, 3238, 267, 971, 607, 2799, 4398, 267, 2344, 1569, 267, 543, 1702, 21383, 1478, 269, 1717, 267, 1352, 849, 6956, 602, 621, 1522, 771, 2897, 930, 1970, 1606, 330, 2683, 4600, 538, 1978, 6080, 543, 11097, 523, 4747, 10616, 538, 1346, 2477, 780, 9802, 320, 5828, 547, 1200, 3659, 24138, 585, 5796, 269, 834, 296, 917, 602, 4123, 814, 922, 17498, 1938, 2437, 15609, 1767, 267, 834, 8117, 594, 5963, 3494, 602, 713, 4308, 786, 1711, 811, 3255, 982, 2800, 269, 1215, 798, 594, 2327, 602, 519, 12374, 616, 7856, 9425, 12482, 305, 12505, 21330, 24617, 1354, 14775, 267, 834, 11039, 267, 15609, 267, 1101, 543, 19466, 267, 1577, 781, 3314, 602, 3297, 1169, 18802, 568, 513, 1480, 1373, 609, 2189, 2115, 543, 17050, 269, 2755, 2810, 2949, 13884, 568, 1271, 267, 865, 1932, 568, 4180, 602, 7925, 5095, 5749, 1405, 2451, 3297, 3010, 3891, 4797, 267, 834, 2791, 991, 547, 4497, 609, 1585, 8639, 1107, 711, 1175, 2229, 8387, 855, 849, 2146, 3401, 267, 9769, 13222, 267, 543, 27013, 269, 1358, 1174, 519, 2199, 2796, 1732, 982, 4896, 3116, 267, 543, 789, 666, 948, 2697, 2127, 1141, 1489, 568, 2877, 1034, 269, 1280, 3236, 267, 3246, 2866, 3292, 585, 4299, 4600, 267, 10115, 538, 5989, 3785, 267, 610, 7598, 11636, 3454, 4507, 666, 11574, 930, 540, 519, 8801, 2360, 3010, 300, 3437, 676, 24138, 781, 1913, 267, 15609, 11368, 1010, 10372, 883, 1200, 16395, 269, 2060, 3403, 689, 1585, 8639, 267, 1352, 7307, 547, 5150, 14074, 602, 9619, 4145, 827, 4074, 2924, 267, 2825, 4027, 267, 543, 7214, 3959, 2924, 269, 5047, 267, 1352, 23647, 585, 4259, 909, 513, 4745, 12233, 16030, 13222, 689, 1312, 5011, 547, 6895, 519, 6388, 540, 519, 6876, 543, 2232, 1022, 27644, 2591, 780, 2026, 519, 1296, 5293, 267, 519, 4123, 6876, 4547, 827, 1082, 2318, 2242, 269, 9483, 2208, 3928, 4824, 3648, 2066, 10283, 3979, 6082, 267, 3056, 547, 4389, 6710, 2157, 543, 9450, 1857, 2533, 269, 3958, 267, 519, 27614, 540, 4914, 5092, 19658, 2029, 19132, 267, 7175, 891, 2477, 547, 1020, 741, 1378, 5499, 3435, 547, 10296, 2152, 899, 1426, 3354, 543, 3782, 1569, 780, 4913, 267, 711, 3388, 4682, 12347, 269, 769, 930, 2665, 267, 6469, 10909, 17388, 547, 14526, 1996, 10464, 20558, 267, 4611, 538, 2482, 26160, 543, 13230, 11912, 585, 1978, 12415, 540, 519, 13781, 269, 1677, 2232, 713, 3390, 267, 6608, 3964, 3106, 24437, 547, 31289, 519, 9514, 1247, 5009, 7293, 15024, 6322, 693, 5355, 28211, 936, 519, 1279, 2165, 269, 1452, 3646, 6976, 1055, 3946, 727, 569, 950, 1896, 540, 891, 2477, 3459, 13143, 532, 1164, 17032, 5370, 543, 2533, 267, 2417, 30740, 741, 2804, 1646, 780, 12988, 538, 1715, 3840, 4975, 267, 15609, 10630, 593, 519, 6364, 540, 1200, 2182, 960, 269, 4014, 1352, 6444, 602, 1100, 6876, 1131, 2479, 581, 3501, 267, 1352, 3576, 11348, 538, 6616, 602, 1352, 5280, 1118, 513, 3017, 538, 6634, 540, 2729, 269, 11531, 267, 24138, 5433, 15260, 3293, 602, 1010, 3659, 1185, 3144, 1010, 5796, 12517, 543, 7283, 8149, 547, 13197, 12581, 2208, 1256, 9624, 18979, 6735, 780, 1103, 519, 1439, 267, 519, 1650, 540, 15609, 543, 24138, 11414, 721, 3407, 4245, 827, 13326, 12721, 4690, 267, 2502, 609, 3309, 5380, 267, 543, 5807, 5698, 1851, 1114, 11051, 269, 1635, 8508, 6568, 267, 5683, 9270, 267, 543, 3860, 1966, 9010, 267, 649, 666, 10244, 519, 13710, 1379, 540, 4123, 1510, 6028, 4896, 3297, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 29205, 596, 2491, 519, 1764, 540, 4123, 11650, 593, 2518, 2804, 8635, 267, 543, 1761, 2994, 585, 5466, 891, 13103, 888, 307, 8565, 11650, 666, 723, 1312, 2318, 543, 2942, 5222, 593, 2518, 2804, 8635, 269, 3371, 616, 513, 1906, 1883, 2798, 1384, 31339, 5222, 912, 268, 16842, 4123, 666, 1291, 547, 811, 3608, 14305, 540, 4074, 543, 2200, 267, 799, 666, 2333, 2949, 2804, 7607, 543, 2208, 269, 901, 666, 4324, 1312, 2919, 543, 3384, 2477, 563, 268, 11780, 666, 1683, 1569, 547, 1007, 6990, 543, 2959, 540, 11378, 267, 799, 666, 5512, 2477, 547, 20647, 538, 741, 13354, 5383, 563, 268, 11780, 666, 1291, 547, 834, 32474, 21383, 13569, 257, 543, 2029, 4483, 1063, 2477, 267, 799, 666, 948, 2673, 519, 6639, 7934, 1063, 2919, 543, 3384, 2477, 780, 27078, 894, 5222, 912, 268, 11780, 666, 22652, 4747, 543, 5763, 8635, 1369, 2477, 267, 3226, 952, 4600, 538, 1978, 9922, 610, 4525, 616, 19774, 676, 20558, 563, 268, 15043, 2477, 949, 723, 513, 9875, 942, 10640, 25147, 3197, 609, 3982, 14789, 269, 634, 1650, 1058, 11200, 998, 741, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 267, 10771, 519, 2956, 540, 6568, 267, 7881, 267, 543, 1966, 9010, 563, 763, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 269, 0, 3848, 476, 1015, 281, 19484, 5606, 3175, 538, 661, 19645, 15107, 13257, 692, 296, 269, 4985, 692, 763, 1764, 540, 10637, 593, 552, 19645, 5867, 3112, 581, 16053, 269, 1306, 5777, 4473, 267, 6800, 262, 11449, 1379, 11081, 267, 3056, 547, 1761, 23229, 538, 6455, 4320, 269, 5047, 267, 10637, 4679, 5665, 3790, 971, 607, 4074, 267, 6151, 2326, 267, 543, 11288, 12375, 267, 799, 2417, 17065, 8240, 7443, 19114, 269, 4475, 267, 621, 568, 2629, 602, 552, 19645, 4213, 1174, 875, 547, 6330, 998, 10637, 776, 5712, 6707, 269, 901, 3184, 12538, 883, 1585, 2994, 602, 552, 19645, 5867, 666, 2308, 547, 11574, 519, 8801, 5222, 540, 10637, 1247, 6967, 8013, 543, 4180, 4264, 2208, 780, 2862, 269, 25947, 1942, 2359, 692, 4263, 519, 2295, 540, 1022, 4550, 19899, 3175, 4640, 6013, 7347, 1942, 2359, 269, 1280, 552, 19645, 4213, 267, 713, 1797, 17306, 741, 4238, 676, 4227, 11991, 24723, 1247, 4509, 1164, 2157, 540, 2298, 543, 6075, 3028, 269, 634, 1739, 6810, 7291, 930, 1808, 12485, 547, 3986, 1942, 2359, 1369, 552, 19645, 5867, 780, 288, 269, 7358, 1049, 4398, 20894, 692, 292, 19645, 4213, 1058, 2932, 2834, 32116, 540, 741, 4835, 3157, 547, 2697, 2127, 1141, 789, 949, 2569, 3653, 995, 7836, 269, 1452, 8039, 1223, 27167, 6313, 3761, 5832, 17825, 267, 11891, 2359, 1949, 267, 6725, 11044, 267, 543, 2029, 5989, 269, 1635, 3257, 865, 267, 4213, 666, 9004, 21336, 17473, 267, 20928, 20104, 267, 543, 2539, 2949, 3790, 780, 2690, 3236, 267, 8835, 814, 1044, 28020, 1634, 585, 922, 29287, 1445, 593, 5355, 10512, 4398, 2094, 922, 2038, 2395, 269, 3414, 3586, 17634, 543, 5647, 267, 519, 2754, 814, 7307, 547, 1628, 513, 3810, 3608, 3892, 3060, 5827, 540, 12419, 15004, 3533, 543, 10464, 569, 1107, 1256, 1282, 2053, 540, 15398, 10637, 780, 289, 269, 21864, 27126, 543, 27147, 692, 5194, 1898, 2460, 540, 1942, 2359, 3322, 556, 24834, 15070, 18261, 3347, 543, 27410, 15028, 2474, 269, 1635, 19597, 908, 14273, 267, 16107, 13557, 6718, 28774, 267, 543, 5807, 1279, 3856, 12352, 1759, 593, 8994, 3972, 543, 11413, 267, 552, 19645, 4213, 666, 5150, 811, 22150, 14499, 3889, 602, 948, 1202, 3634, 873, 1996, 6727, 26389, 538, 3403, 3790, 1813, 547, 10637, 780, 290, 269, 28290, 543, 1184, 11938, 692, 299, 1197, 1645, 12957, 4066, 899, 5841, 4987, 630, 9590, 1070, 3684, 1565, 630, 7876, 1070, 543, 18951, 1184, 12957, 630, 305, 5183, 264, 666, 3648, 2087, 10512, 31931, 543, 5397, 1524, 4074, 3790, 269, 1280, 1383, 267, 7598, 3642, 26962, 547, 6023, 6296, 6075, 14511, 6087, 1480, 8069, 547, 13404, 593, 811, 1950, 2152, 8506, 2362, 7400, 1983, 543, 6791, 269, 6684, 267, 1210, 16066, 6620, 547, 5659, 7082, 2623, 3270, 666, 1217, 6098, 6725, 3646, 602, 6556, 1732, 24740, 693, 2539, 11601, 3790, 780, 7656, 269, 667, 1392, 4328, 8907, 12535, 692, 7628, 10637, 776, 5712, 267, 29159, 3587, 5051, 1271, 585, 552, 19645, 4213, 5275, 547, 3262, 1981, 2066, 2789, 4747, 2959, 269, 1635, 9750, 1587, 17008, 267, 3695, 1007, 6990, 267, 610, 3384, 3606, 2533, 267, 3549, 666, 7148, 883, 4244, 2959, 540, 8907, 1447, 11630, 547, 519, 2942, 4539, 540, 8375, 5777, 780, 2690, 3236, 267, 1325, 756, 19487, 6828, 670, 13783, 17290, 910, 3624, 781, 4102, 552, 19645, 6109, 910, 814, 22002, 513, 3818, 17376, 784, 539, 7269, 4640, 5473, 7127, 883, 3309, 9922, 8151, 689, 6531, 7384, 547, 3059, 2923, 543, 9913, 269, 6270, 7575, 723, 5280, 519, 598, 6921, 558, 4733, 24772, 922, 6043, 1996, 12550, 11296, 2212, 13388, 338, 971, 607, 10637, 543, 23786, 13253, 780, 4353, 269, 623, 878, 532, 2994, 692, 2026, 3403, 3790, 18214, 1282, 10637, 776, 14501, 267, 552, 19645, 4213, 1590, 5402, 26215, 622, 741, 14499, 2994, 547, 2226, 28211, 1510, 27531, 12434, 269, 20074, 6422, 14499, 3631, 602, 4188, 5777, 2687, 547, 1483, 6066, 2344, 2175, 2636, 10909, 547, 4431, 24847, 547, 4657, 6381, 1247, 8497, 5561, 262, 9228, 1871, 269, 3958, 267, 5356, 27764, 1229, 14499, 4566, 609, 8795, 2934, 543, 2640, 2488, 8112, 585, 1114, 12415, 540, 18046, 267, 7551, 3376, 2287, 9029, 543, 21924, 8907, 5108, 3255, 780, 309, 269, 10390, 692, 32382, 10637, 3340, 552, 19645, 4213, 547, 3635, 28858, 267, 22231, 267, 543, 22509, 697, 538, 5883, 3790, 267, 4129, 4328, 19614, 267, 543, 4259, 6099, 5777, 269, 1635, 8508, 1655, 2853, 13890, 538, 713, 3184, 267, 3760, 12427, 1796, 513, 3152, 4960, 540, 29056, 24360, 2804, 16374, 1247, 17568, 2933, 585, 11972, 1967, 9624, 2479, 21608, 2344, 6384, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 14813, 3175, 267, 519, 13455, 2333, 538, 519, 2489, 3902, 1377, 540, 5370, 543, 2533, 538, 606, 4346, 267, 568, 513, 24245, 543, 1419, 20437, 2804, 7613, 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 ]
[ 899, 1979, 30757, 610, 5201, 269, 1635, 19713, 519, 1648, 1761, 540, 3653, 267, 2950, 666, 2569, 741, 16126, 593, 8093, 10173, 543, 6175, 8511, 3154, 5434, 563, 292, 2310, 17904, 14635, 543, 13255, 281, 19630, 1944, 3653, 4015, 543, 3560, 568, 1776, 1271, 3815, 538, 4227, 3327, 29066, 269, 1635, 8888, 3608, 11507, 267, 1210, 2973, 543, 4492, 18026, 6472, 267, 543, 7598, 5100, 3653, 2359, 1949, 267, 2950, 666, 7413, 519, 1648, 4616, 543, 5434, 2404, 609, 3653, 4015, 269, 3958, 267, 8716, 519, 946, 540, 1857, 6283, 610, 4244, 2409, 971, 607, 15203, 610, 6972, 585, 3653, 4015, 666, 2417, 2569, 3327, 29066, 563, 19733, 543, 7991, 22580, 281, 10871, 1242, 3653, 2359, 1949, 2154, 3742, 7589, 543, 6278, 689, 2146, 2818, 269, 4065, 3292, 267, 4656, 11044, 267, 543, 2146, 7341, 666, 1404, 513, 2629, 1909, 538, 5009, 3743, 3653, 2359, 2853, 269, 1635, 18997, 7264, 827, 519, 2825, 1764, 540, 3653, 543, 16779, 873, 547, 1118, 4264, 5079, 267, 2950, 666, 6536, 513, 2528, 540, 2825, 19642, 543, 2569, 3327, 29066, 563, 290, 1844, 983, 19004, 13979, 281, 10871, 1242, 3653, 2359, 1949, 666, 581, 7471, 609, 519, 1523, 540, 513, 9764, 4346, 267, 799, 6663, 547, 7413, 3653, 543, 11694, 4199, 4398, 269, 1635, 7598, 2994, 971, 607, 1587, 2699, 30472, 267, 6905, 16073, 5539, 267, 543, 5009, 519, 946, 540, 13381, 2326, 267, 2950, 666, 2569, 519, 3327, 5434, 2404, 609, 519, 2504, 543, 12871, 540, 5370, 563, 26222, 1242, 3653, 2359, 4249, 513, 4105, 1909, 538, 13302, 3327, 29066, 543, 19086, 2916, 1689, 269, 1635, 26724, 3653, 5786, 267, 9657, 267, 24600, 267, 1648, 6051, 267, 3608, 4015, 267, 543, 2146, 6278, 267, 2950, 666, 1118, 1713, 3356, 538, 8236, 6940, 3853, 269, 898, 568, 1898, 585, 2199, 6608, 267, 4213, 267, 543, 7264, 547, 12840, 543, 2936, 891, 2994, 547, 1711, 513, 15777, 543, 22928, 2104, 585, 5481, 547, 2097, 269, 3414, 22297, 3653, 2359, 267, 649, 666, 17362, 519, 1259, 585, 513, 811, 4264, 543, 1970, 28003, 2486, 563, 1432, 519, 2229, 540, 16713, 568, 3257, 547, 2087, 6940, 454, 763, 2229, 540, 16713, 814, 1044, 8362, 2324, 547, 2087, 6940, 543, 2232, 2825, 2591, 538, 519, 1533, 269, 2060, 513, 1445, 593, 1648, 4398, 267, 7791, 1648, 267, 5726, 267, 543, 3653, 2359, 267, 16713, 568, 2921, 1713, 3268, 2509, 513, 811, 4264, 2104, 269, 3371, 616, 930, 1883, 7341, 543, 3527, 17298, 676, 519, 2229, 540, 16713, 912, 30262, 1168, 762, 6052, 281, 16713, 814, 1044, 1818, 26058, 538, 5009, 7791, 1648, 2959, 269, 634, 1533, 814, 8045, 4507, 543, 15314, 547, 5000, 519, 1646, 540, 2842, 1379, 267, 3859, 1648, 267, 543, 6915, 30669, 269, 634, 16713, 24997, 6052, 9208, 3340, 20090, 24804, 20848, 547, 3489, 693, 2547, 476, 1428, 260, 540, 741, 1648, 689, 7791, 2959, 676, 476, 1708, 272, 267, 543, 6917, 3167, 24625, 2510, 616, 9415, 547, 11654, 7791, 1648, 3785, 563, 21328, 21252, 281, 634, 2229, 540, 16713, 17767, 519, 2956, 540, 1648, 4398, 538, 4227, 3327, 5434, 543, 5355, 6940, 269, 634, 16713, 6052, 21252, 20971, 2920, 8992, 1648, 4398, 3292, 543, 15314, 585, 10821, 267, 5010, 267, 543, 4853, 5561, 269, 634, 1533, 2488, 1648, 32116, 267, 6450, 919, 267, 543, 1970, 29027, 14104, 3681, 547, 5000, 1648, 18026, 18175, 10232, 538, 5656, 543, 6703, 563, 8256, 3569, 543, 7849, 8249, 281, 16713, 568, 8149, 547, 519, 5726, 543, 4264, 2359, 540, 922, 2067, 2200, 269, 634, 16713, 4972, 540, 11094, 630, 13270, 290, 264, 568, 3743, 585, 8497, 519, 1533, 779, 7733, 267, 7320, 267, 543, 3165, 5095, 269, 3414, 7341, 971, 607, 7226, 11808, 267, 5726, 2069, 267, 543, 3743, 10122, 543, 10068, 2853, 267, 519, 11022, 290, 6663, 547, 2149, 543, 30396, 8415, 16713, 779, 2067, 6561, 563, 12850, 11094, 281, 20876, 519, 2956, 540, 1216, 2200, 267, 519, 2229, 540, 16713, 814, 8045, 3800, 547, 3895, 1216, 5726, 269, 634, 16713, 4972, 540, 7849, 8249, 7512, 1216, 18026, 2853, 998, 3872, 3292, 267, 1216, 5726, 4058, 267, 543, 519, 10073, 540, 3608, 12555, 4066, 269, 3958, 267, 519, 1533, 7028, 24659, 2359, 3785, 547, 2087, 1216, 2298, 543, 2149, 8134, 563, 310, 4292, 5004, 281, 16713, 814, 3144, 3268, 547, 2087, 3653, 2359, 2853, 543, 2569, 519, 2825, 1764, 540, 3653, 269, 634, 16713, 20348, 17904, 5004, 4521, 21560, 519, 12871, 543, 9657, 540, 3653, 538, 519, 1533, 269, 634, 2229, 8992, 9657, 3292, 267, 7028, 3653, 5786, 7341, 267, 543, 7512, 519, 946, 540, 4264, 2326, 543, 11183, 269, 3958, 267, 519, 1533, 3091, 14828, 543, 2930, 6351, 547, 2199, 2950, 585, 519, 10661, 540, 9657, 543, 24600, 6703, 563, 20245, 4065, 543, 4934, 18943, 281, 634, 2229, 540, 16713, 17767, 519, 2956, 540, 9870, 4656, 543, 18997, 7264, 827, 6940, 543, 2825, 2152, 269, 634, 4972, 540, 7849, 8249, 267, 2059, 609, 824, 8041, 543, 3906, 267, 29377, 23793, 3292, 267, 11925, 267, 543, 3872, 11044, 547, 3895, 4264, 2853, 267, 5726, 267, 543, 2825, 19642, 269, 1452, 7341, 2832, 547, 4497, 4961, 543, 5000, 3742, 7589, 538, 6940, 3646, 563, 16675, 8490, 9024, 328, 2510, 281, 16713, 7512, 519, 10073, 540, 3039, 2679, 2853, 547, 2569, 1648, 4616, 543, 2825, 1764, 269, 634, 1533, 814, 8045, 2679, 9479, 602, 3895, 1648, 18026, 1374, 543, 4070, 269, 16713, 3091, 15314, 543, 24501, 585, 1648, 18026, 5656, 267, 971, 607, 519, 13673, 2207, 294, 312, 5254, 2752, 1982, 543, 19845, 3633, 13995, 563, 20458, 11059, 281, 16713, 814, 6444, 519, 991, 547, 2232, 2916, 1689, 543, 814, 17298, 7341, 547, 11574, 922, 5222, 269, 634, 1533, 568, 8362, 3238, 538, 519, 772, 2529, 269, 8693, 19137, 267, 513, 22687, 540, 2829, 8149, 547, 30176, 519, 3853, 540, 519, 8303, 15716, 269, 16713, 568, 2324, 547, 1020, 513, 3102, 2916, 2962, 1544, 602, 2882, 2994, 547, 2569, 8511, 3154, 5434, 267, 2333, 7791, 1648, 5108, 267, 543, 3986, 2916, 6043, 563, 28733, 569, 519, 2229, 540, 16713, 568, 2921, 1713, 3268, 547, 2087, 6940, 543, 2232, 2825, 2591, 269, 3414, 7341, 5059, 593, 7791, 1648, 267, 1648, 4398, 267, 5726, 267, 1216, 2359, 267, 3653, 5786, 267, 543, 2825, 2069, 267, 16713, 568, 2324, 2509, 513, 811, 4264, 543, 14388, 2104, 269, 1635, 7598, 891, 3800, 267, 519, 2229, 540, 16713, 568, 11744, 922, 7029, 547, 7863, 519, 1604, 543, 5009, 513, 22928, 543, 8902, 1533, 585, 922, 7264, 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 ]
[ 26811, 753, 607, 606, 1858, 540, 10617, 543, 7526, 267, 476, 273, 269, 519, 26811, 753, 607, 606, 1858, 540, 7772, 267, 6612, 543, 14603, 1143, 267, 476, 274, 269, 519, 18642, 543, 10728, 968, 332, 1446, 892, 26811, 753, 5288, 269, 519, 4190, 267, 10583, 543, 11259, 968, 325, 24580, 892, 26811, 753, 267, 543, 476, 275, 269, 519, 26811, 753, 607, 2342, 779, 968, 8448, 6100, 634, 2164, 1397, 602, 267, 5103, 519, 7915, 5714, 640, 543, 519, 15458, 1145, 540, 519, 1360, 4214, 540, 519, 26811, 753, 543, 922, 8901, 3795, 630, 663, 4061, 519, 7872, 540, 26865, 13951, 689, 621, 267, 6140, 2942, 11475, 827, 519, 26811, 753, 616, 1373, 25735, 269, 1358, 616, 711, 20402, 538, 602, 1184, 267, 855, 7608, 543, 14751, 539, 607, 513, 851, 540, 835, 779, 1378, 3961, 563, 17359, 7956, 12232, 634, 1957, 9382, 12591, 540, 6215, 13273, 6390, 19537, 330, 25625, 24089, 543, 1978, 1297, 540, 824, 15594, 5830, 689, 608, 25286, 1872, 27382, 807, 17935, 547, 2626, 547, 519, 1739, 2055, 281, 1101, 267, 875, 1454, 543, 538, 1018, 1259, 519, 27964, 593, 608, 25286, 1872, 27382, 807, 26811, 753, 267, 630, 14006, 25791, 1143, 267, 18541, 543, 2112, 723, 1044, 3812, 676, 2199, 8706, 1235, 543, 5924, 16865, 689, 519, 4639, 282, 2034, 267, 723, 891, 27964, 1044, 20718, 609, 2199, 15594, 27964, 827, 27828, 543, 8706, 6541, 543, 875, 563, 1607, 568, 513, 1957, 1759, 593, 519, 14376, 2911, 519, 2278, 5795, 693, 519, 476, 280, 628, 26811, 534, 8447, 5742, 10554, 269, 898, 3568, 930, 540, 519, 1292, 10781, 540, 24775, 1627, 7374, 13502, 4553, 676, 513, 1592, 540, 26811, 534, 21575, 945, 723, 8329, 547, 519, 1788, 563, 5228, 27988, 807, 547, 15787, 543, 941, 3366, 676, 606, 27988, 1014, 1634, 607, 26512, 8575, 8932, 269, 7597, 901, 1770, 729, 7923, 547, 519, 18548, 333, 1014, 2229, 7952, 269, 4438, 519, 1862, 1492, 26811, 753, 12668, 281, 14210, 1296, 1310, 519, 2736, 1575, 540, 31735, 807, 267, 1196, 269, 11518, 9445, 590, 269, 18200, 517, 267, 681, 269, 30621, 13780, 267, 6754, 1280, 720, 2073, 543, 853, 1030, 8457, 645, 1014, 577, 7236, 630, 6124, 3840, 1862, 289, 1014, 577, 7236, 267, 14484, 687, 593, 519, 26811, 753, 12668, 281, 14210, 1296, 1310, 519, 2736, 1575, 540, 31735, 807, 267, 1196, 269, 11518, 9445, 590, 269, 18200, 517, 267, 681, 269, 30621, 13780, 267, 6754, 1280, 720, 2073, 543, 454, 17359, 7956, 12232, 634, 1909, 540, 18211, 565, 5255, 545, 3679, 538, 519, 1696, 5735, 540, 26811, 534, 21049, 26669, 1886, 4331, 630, 289, 2894, 543, 2404, 5580, 2389, 847, 579, 549, 1492, 331, 658, 26217, 630, 7473, 10813, 814, 1044, 5063, 9672, 269, 634, 2832, 540, 713, 1353, 729, 547, 3313, 30091, 5829, 15262, 4433, 1808, 585, 645, 2894, 23938, 29031, 10813, 269, 10558, 7634, 3769, 476, 10755, 2550, 609, 29031, 10813, 267, 476, 4510, 689, 645, 2894, 3148, 543, 476, 8618, 1852, 12970, 269, 16816, 1229, 4082, 540, 18984, 643, 514, 729, 811, 1419, 1459, 538, 645, 2894, 29031, 10813, 609, 1164, 3446, 543, 4396, 2208, 630, 303, 283, 271, 269, 22650, 282, 623, 283, 271, 269, 4962, 982, 538, 1852, 12970, 269, 14608, 14688, 2539, 4082, 540, 605, 777, 9953, 5328, 15262, 645, 1314, 729, 1336, 538, 645, 2894, 12970, 609, 1164, 3446, 267, 1164, 3942, 267, 27394, 15727, 267, 543, 1510, 13849, 27415, 1689, 630, 303, 283, 271, 269, 4962, 282, 476, 271, 269, 4962, 282, 476, 271, 269, 4962, 282, 476, 271, 269, 4962, 3379, 547, 1852, 12970, 609, 519, 1482, 2934, 269, 6828, 630, 289, 2894, 5829, 270, 31553, 267, 3942, 267, 2208, 4806, 267, 543, 524, 5684, 848, 476, 274, 2534, 941, 3648, 2404, 609, 519, 4082, 540, 645, 1314, 630, 303, 284, 271, 269, 16573, 267, 476, 271, 269, 271, 4097, 267, 476, 271, 269, 271, 5325, 267, 476, 271, 269, 271, 2764, 267, 1365, 1421, 269, 901, 7634, 14439, 645, 1314, 607, 1808, 15262, 540, 645, 2894, 23938, 29031, 10813, 269, 28206, 848, 540, 605, 268, 777, 9953, 5328, 3940, 645, 1314, 1927, 609, 27327, 540, 18984, 643, 514, 949, 581, 22566, 585, 1808, 18063, 540, 17271, 26586, 5328, 13374, 538, 29031, 10813, 16109, 538, 21049, 2127, 563, 17359, 7956, 12232, 634, 7287, 547, 4866, 538, 513, 1367, 2528, 1797, 547, 4865, 513, 2312, 5075, 585, 519, 1158, 267, 513, 4155, 4786, 602, 10274, 922, 13794, 2509, 519, 1697, 1620, 540, 519, 4541, 779, 2250, 1459, 543, 2104, 269, 1323, 3964, 13299, 540, 7805, 3084, 9163, 538, 519, 26811, 753, 568, 10169, 796, 333, 6334, 18674, 547, 17854, 7526, 1063, 3909, 543, 6803, 2516, 267, 3361, 607, 513, 1267, 540, 519, 3084, 9163, 23091, 1851, 2933, 267, 606, 3693, 9247, 811, 9565, 982, 6228, 540, 3084, 9163, 269, 1280, 5553, 10271, 543, 12356, 538, 519, 26811, 753, 723, 1044, 2713, 538, 4708, 267, 2705, 513, 1906, 26811, 534, 5081, 7724, 3136, 547, 946, 5208, 267, 3084, 17119, 1143, 267, 30542, 22785, 607, 1134, 607, 513, 4207, 2259, 547, 4194, 741, 2042, 269, 589, 16048, 2243, 666, 581, 6659, 538, 6935, 547, 875, 1455, 568, 3909, 3310, 1031, 547, 2014, 10795, 543, 11439, 7526, 607, 3379, 547, 5208, 23608, 689, 6803, 26349, 267, 1852, 936, 8513, 267, 2797, 16809, 543, 6237, 30566, 344, 888, 17359, 7956, 12232, 634, 1957, 12116, 7332, 3961, 538, 519, 2796, 540, 5872, 1063, 10764, 543, 6803, 543, 3084, 9163, 1369, 519, 1950, 6803, 543, 3909, 3060, 540, 519, 26811, 753, 267, 543, 609, 513, 1445, 593, 7332, 12102, 2950, 538, 519, 1367, 2829, 538, 519, 3148, 269, 4014, 621, 23131, 689, 513, 3140, 4282, 267, 8561, 568, 5116, 593, 4207, 2175, 267, 2523, 1310, 519, 2887, 540, 25399, 543, 519, 6433, 538, 5449, 31735, 807, 269, 634, 1957, 568, 1759, 593, 519, 1433, 7332, 14740, 543, 519, 26811, 534, 3557, 267, 5423, 676, 670, 7676, 623, 9567, 2023, 543, 2672, 3873, 29069, 328, 10787, 537, 7288, 543, 3370, 538, 5507, 538, 476, 3192, 278, 269, 18766, 689, 513, 3407, 543, 4277, 4367, 538, 2543, 547, 10747, 519, 1523, 540, 968, 15404, 3916, 892, 543, 968, 15404, 3916, 2146, 892, 538, 519, 26811, 753, 267, 543, 849, 606, 16315, 540, 930, 540, 519, 1808, 885, 540, 5771, 538, 713, 3148, 267, 519, 1433, 2882, 22221, 5094, 2090, 267, 519, 5354, 540, 799, 4308, 609, 7332, 12102, 2950, 543, 741, 4567, 538, 26811, 534, 2477, 630, 2704, 3316, 807, 267, 31697, 267, 10255, 267, 24230, 26785, 267, 24765, 8205, 543, 9995, 385, 352, 752, 269, 634, 4574, 849, 4308, 609, 11894, 267, 607, 519, 2197, 4171, 2950, 21078, 538, 930, 540, 519, 5018, 2477, 267, 607, 1134, 607, 609, 519, 1894, 1063, 11894, 543, 519, 26811, 534, 2477, 269, 14755, 30228, 519, 3140, 3123, 3056, 547, 519, 5250, 540, 519, 7332, 2950, 267, 1142, 2278, 13986, 547, 2697, 519, 1292, 8739, 20300, 267, 2797, 543, 2802, 7224, 3146, 31437, 2188, 968, 22529, 1043, 892, 585, 741, 2990, 538, 519, 1367, 2797, 2950, 538, 519, 26811, 753, 269, 769, 713, 1957, 267, 519, 1883, 3344, 540, 519, 5018, 4798, 616, 12649, 267, 1519, 1880, 8292, 593, 24640, 807, 267, 31697, 267, 10255, 267, 24230, 26785, 543, 24765, 8205, 563, 8450, 267, 585, 1383, 267, 631, 9222, 966, 1173, 553, 24510, 6242, 2073, 968, 17442, 2871, 518, 571, 538, 14243, 339, 559, 2223, 4432, 623, 9820, 267, 2904, 476, 1704, 267, 476, 1960, 280, 267, 533, 269, 476, 275, 269, 476, 8099, 269, 1280, 606, 4879, 540, 3646, 547, 16401, 519, 31735, 1862, 2735, 276, 269, 476, 2537, 269, 9410, 700, 269, 11709, 595, 10915, 15505, 267, 13609, 779, 15613, 476, 3707, 271, 268, 3707, 272, 281, 634, 26811, 534, 1849, 826, 267, 11062, 281, 11062, 2160, 4964, 267, 476, 3192, 274, 269, 476, 2190, 269, 631, 9222, 595, 969, 328, 267, 634, 454, 289, 1779, 534, 18686, 269, 634, 2025, 11317, 3274, 3576, 593, 519, 1007, 2528, 543, 676, 12561, 1007, 2645, 543, 513, 1007, 4984, 689, 519, 30226, 619, 2813, 513, 3575, 1862, 1240, 268, 866, 269, 476, 280, 5096, 625, 267, 22374, 267, 476, 1960, 277, 267, 533, 269, 476, 9083, 269, 476, 1015, 6498, 602, 16768, 585, 519, 1985, 476, 1220, 1296, 630, 303, 1314, 4936, 320, 15426, 7201, 519, 4936, 7276, 519, 2164, 540, 4341, 1862, 4310, 538, 519, 1964, 540, 713, 1353, 269, 13780, 568, 513, 1804, 1514, 1895, 267, 799, 2356, 814, 782, 610, 519, 1034, 540, 519, 1739, 3838, 281, 1893, 267, 4984, 2073, 14868, 454, 763, 7287, 547, 4866, 538, 513, 1367, 2528, 1797, 547, 4865, 513, 2312, 5075, 585, 519, 1158, 267, 513, 4155, 4786, 602, 10274, 922, 13794, 2509, 519, 1697, 1620, 540, 519, 4541, 779, 2250, 1459, 543, 2104, 269, 1323, 3964, 13299, 540, 7805, 3084, 9163, 538, 519, 26811, 753, 568, 10169, 796, 333, 6334, 18674, 547, 17854, 7526, 1063, 3909, 543, 6803, 2516, 267, 3361, 607, 513, 1267, 540, 519, 3084, 9163, 23091, 1851, 2933, 267, 606, 3693, 9247, 811, 9565, 982, 2291, 16780, 2483, 17359, 7956, 12232, 5681, 3405, 1944, 267, 519, 2832, 540, 713, 1957, 729, 547, 28596, 29506, 1944, 538, 513, 26811, 534, 2796, 519, 18765, 540, 31970, 1143, 543, 12769, 1211, 16117, 1107, 1079, 3029, 540, 27313, 1944, 519, 4033, 267, 22579, 538, 519, 2085, 540, 21654, 267, 1079, 9259, 602, 616, 5605, 20884, 543, 16865, 689, 824, 4529, 269, 1358, 2170, 538, 513, 8049, 6073, 543, 3576, 2565, 1747, 538, 519, 7242, 860, 1132, 540, 782, 519, 6082, 538, 519, 3148, 4352, 538, 1114, 2081, 563, 1607, 1957, 11828, 519, 1764, 540, 519, 5375, 6351, 585, 9111, 538, 519, 26811, 753, 630, 292, 6141, 2342, 1070, 607, 3540, 2486, 1646, 3292, 269, 634, 2079, 540, 519, 3510, 538, 519, 26811, 753, 5012, 547, 519, 3932, 602, 519, 1292, 12343, 540, 713, 5375, 6351, 814, 711, 1044, 519, 13143, 540, 9111, 267, 855, 519, 2799, 4390, 540, 519, 13364, 630, 7582, 11675, 264, 547, 2936, 971, 3292, 563, 303, 17123, 281, 634, 9082, 2713, 538, 519, 26811, 534, 18686, 936, 5553, 723, 2813, 513, 1360, 3638, 2686, 6561, 543, 519, 3586, 2797, 30331, 822, 1023, 538, 519, 3148, 723, 4299, 519, 1646, 543, 11091, 540, 741, 4529, 269, 901, 1957, 6663, 547, 2689, 519, 4950, 5989, 543, 3060, 539, 22026, 2157, 540, 519, 26811, 534, 2477, 267, 799, 616, 7498, 17359, 7956, 12232, 634, 3355, 5123, 540, 519, 3689, 2622, 2782, 538, 519, 26811, 753, 476, 4489, 275, 268, 4489, 276, 729, 513, 2067, 27402, 540, 519, 7526, 8118, 1282, 519, 26811, 534, 12668, 267, 855, 3084, 535, 969, 528, 1631, 7854, 539, 782, 540, 519, 26811, 753, 267, 689, 681, 6359, 2131, 320, 543, 700, 329, 28362, 329, 3570, 547, 18603, 267, 1924, 325, 807, 543, 29246, 11732, 267, 1317, 519, 1909, 540, 519, 32680, 3933, 8944, 1185, 4957, 689, 602, 540, 606, 818, 321, 3438, 547, 602, 540, 513, 16045, 538, 519, 4655, 269, 2060, 519, 27757, 540, 519, 16368, 7276, 267, 519, 2417, 6668, 540, 519, 670, 11274, 7921, 3933, 8944, 729, 13934, 676, 519, 5395, 15487, 2229, 781, 31735, 1788, 267, 2870, 2175, 585, 7598, 519, 22874, 6240, 538, 782, 540, 519, 26811, 753, 269, 898, 8604, 602, 267, 538, 1489, 540, 519, 24816, 602, 941, 1373, 2813, 538, 519, 26811, 753, 543, 538, 2342, 607, 513, 2898, 267, 519, 942, 1185, 2097, 585, 519, 3803, 20106, 540, 519, 3084, 17050, 540, 519, 26811, 534, 9082, 269, 634, 6364, 540, 713, 3791, 26811, 534, 2112, 1100, 3476, 31030, 9003, 593, 519, 3666, 540, 1379, 3330, 519, 26811, 753, 267, 855, 849, 593, 519, 2949, 1576, 540, 519, 2112, 269, 2991, 519, 3355, 24984, 538, 476, 4489, 275, 267, 28993, 11124, 513, 14710, 538, 476, 4489, 276, 543, 1200, 20679, 941, 7142, 547, 18956, 5045, 1189, 547, 24640, 807, 543, 10255, 267, 855, 1200, 31735, 1788, 729, 519, 5748, 540, 1200, 2104, 4507, 543, 519, 4493, 585, 1570, 1944, 519, 1523, 540, 513, 1455, 3162, 4149, 15442, 545, 1533, 563, 293, 13083, 30300, 1513, 616, 513, 1434, 2707, 585, 4974, 519, 1702, 543, 12738, 540, 9082, 689, 11397, 22184, 338, 269, 634, 24360, 1686, 540, 519, 4529, 538, 519, 26811, 534, 18686, 5012, 547, 513, 7848, 540, 11706, 5389, 910, 1114, 11706, 2010, 543, 20803, 1949, 540, 519, 11706, 4559, 630, 3000, 2195, 543, 3018, 17058, 1040, 6736, 519, 3604, 267, 789 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 26757, 570, 313, 267, 2098, 29697, 595, 267, 20568, 962, 299, 267, 1696, 620, 269, 10289, 519, 1909, 540, 519, 8901, 4162, 540, 7298, 543, 2282, 268, 14813, 14518, 2992, 766, 538, 17782, 3037, 5214, 3327, 5860, 269, 4959, 11266, 306, 4139, 4750, 540, 2983, 334, 268, 22033, 269, 476, 1001, 278, 282, 476, 277, 263, 1015, 2567, 476, 28143, 563, 268, 476, 2537, 269, 645, 7776, 22085, 267, 18961, 700, 311, 267, 14717, 15760, 267, 18708, 918, 267, 31481, 654, 269, 30487, 3037, 5214, 2339, 540, 556, 13094, 3037, 689, 513, 1804, 2627, 5755, 9553, 1210, 513, 2361, 4715, 2928, 14508, 10309, 538, 8047, 269, 23817, 7495, 2207, 7246, 269, 476, 1001, 278, 282, 25971, 281, 476, 5325, 1700, 4649, 563, 268, 476, 2190, 269, 15651, 10226, 269, 21023, 532, 540, 4104, 3037, 5214, 3327, 1543, 1759, 593, 14033, 5606, 14518, 15190, 18122, 269, 12794, 8210, 6883, 281, 29036, 32645, 2160, 269, 476, 1001, 275, 269, 12232, 689, 281, 5291, 2517, 343, 1132, 16852, 12500, 4660, 340, 2593, 4882, 286, 23424, 284, 17549, 19441, 260, 274, 288, 260, 2764, 320, 5038, 277, 8064, 278, 323, 275, 325, 279, 8287, 277, 3374, 321, 276, 321, 576, 7597, 274, 275, 2767, 320, 276, 321, 6860, 260, 3066, 261, 16344, 614, 284, 2675, 9078, 784, 5334, 793, 261, 339, 333, 284, 10345, 13448, 1132, 327, 639, 1830, 318, 273, 330, 706, 342, 2420, 341, 261, 2675, 24449, 14766, 284, 10674, 260, 274, 288, 260, 273, 293, 260, 273, 293, 323, 269, 9774, 325, 836, 11907, 2593, 6983, 333, 260, 273, 293, 763, 3974, 260, 273, 293, 312, 26604, 9965, 272, 261, 773, 284, 583, 325, 268, 279, 261, 2675, 318, 639, 284, 15782, 8517, 4366, 278, 2735, 15686, 277, 1556, 271, 563, 268, 476, 1839, 269, 18708, 589, 311, 267, 667, 532, 808, 299, 269, 22414, 4879, 540, 1079, 2409, 585, 16759, 540, 3037, 5214, 3327, 1543, 676, 6250, 9539, 7644, 26034, 538, 2473, 514, 10202, 836, 661, 16535, 584, 8235, 22911, 1633, 269, 3690, 13905, 540, 519, 4457, 5980, 540, 16581, 7177, 269, 476, 1001, 276, 282, 476, 4029, 263, 1240, 2567, 476, 14341, 1700, 12739, 563, 268, 476, 2918, 269, 16441, 670, 313, 267, 7754, 570, 267, 16441, 808, 300, 269, 10395, 1588, 11938, 540, 2789, 14649, 15494, 543, 14205, 6308, 5652, 8566, 565, 599, 5347, 532, 12331, 4294, 547, 519, 2282, 18342, 21655, 2079, 540, 3037, 5214, 2339, 269, 23675, 543, 11930, 11061, 269, 476, 1001, 272, 282, 476, 2764, 263, 276, 2567, 476, 276, 1240, 1700, 276, 2420, 563, 268, 476, 2767, 269, 966, 4593, 541, 571, 14472, 1088, 17241, 267, 2142, 327, 27231, 570, 269, 4635, 1239, 5599, 547, 2203, 543, 4612, 3037, 27556, 2992, 766, 26034, 269, 2983, 25866, 320, 269, 476, 1001, 271, 282, 476, 15647, 263, 272, 1700, 273, 2567, 476, 5379, 1700, 7918, 269, 0, 20751, 21597, 4441, 972, 568, 15792, 20173, 585, 1367, 8390, 267, 1082, 10627, 1562, 23928, 593, 741, 1378, 10627, 9043, 267, 610, 835, 1031, 676, 513, 3811, 4402, 269, 4813, 28861, 267, 16835, 941, 1688, 2389, 29354, 689, 513, 10959, 609, 5730, 23363, 2798, 282, 2221, 789, 616, 3684, 2389, 29354, 547, 513, 6378, 4496, 10959, 269, 25214, 1713, 17074, 949, 581, 6854, 538, 513, 10627, 9755, 262, 29256, 282, 585, 1383, 267, 9040, 324, 25288, 781, 10959, 267, 799, 2968, 2442, 1851, 2101, 6122, 6558, 5716, 267, 568, 681, 6246, 538, 519, 8402, 6807, 590, 1663, 1375, 518, 21517, 563, 293, 2426, 334, 16835, 723, 1044, 1472, 2094, 519, 4098, 540, 13836, 543, 607, 1034, 540, 721, 949, 917, 267, 13836, 729, 1767, 547, 581, 11827, 676, 2806, 1676, 8935, 16940, 599, 538, 23101, 560, 1144, 267, 1715, 3840, 1282, 519, 4832, 540, 476, 8146, 280, 269, 4595, 1187, 2998, 16835, 941, 1454, 4443, 547, 18711, 543, 5795, 1055, 513, 9522, 540, 1402, 267, 789, 941, 3592, 2938, 607, 32533, 1394, 538, 519, 1554, 269, 769, 513, 1433, 689, 476, 6245, 278, 3957, 834, 763, 14502, 16301, 540, 28473, 2437, 519, 7328, 1873, 31581, 8361, 932, 611, 19213, 7150, 2437, 763, 4617, 652, 10627, 1154, 568, 3254, 950, 519, 16835, 2006, 18656, 2471, 538, 1187, 2998, 18644, 1701, 898, 7012, 1405, 2394, 13836, 10627, 6042, 3357, 1472, 602, 1187, 2998, 16835, 941, 1152, 1031, 676, 19393, 543, 3237, 563, 2252, 1187, 2998, 525, 616, 513, 3440, 19184, 539, 883, 519, 2011, 676, 513, 4402, 543, 1287, 13351, 607, 621, 2501, 1524, 1287, 513, 1187, 2998, 10627, 568, 513, 13836, 10627, 1031, 585, 18644, 1187, 2998, 525, 269, 1677, 979, 883, 811, 1469, 267, 513, 1187, 2998, 10627, 568, 513, 1279, 267, 17426, 13836, 10627, 1031, 676, 19393, 630, 528, 3237, 264, 1282, 840, 18524, 18644, 610, 2259, 547, 948, 873, 5734, 2666, 619, 543, 1402, 8038, 338, 609, 811, 11007, 543, 1447, 9854, 269, 1677, 581, 835, 540, 519, 1655, 538, 13836, 267, 9118, 3108, 540, 2259, 616, 513, 1590, 543, 1187, 2998, 16835, 616, 5497, 585, 1312, 1102, 1752, 543, 856, 7615, 2259, 269, 9578, 267, 789, 948, 14831, 3585, 609, 1852, 543, 6111, 865, 602, 19393, 543, 3237, 666, 1747, 513, 3440, 1141, 789, 1616, 950, 789, 1616, 563, 2252, 596, 723, 13984, 513, 11683, 13477, 28473, 3014, 538, 519, 2063, 476, 1428, 1296, 267, 840, 18524, 1102, 1752, 2259, 267, 1634, 3274, 607, 1102, 1752, 267, 949, 581, 14542, 269, 2353, 855, 14460, 676, 519, 2038, 476, 1220, 271, 338, 267, 519, 9161, 2729, 593, 693, 519, 595, 15030, 2529, 269, 543, 693, 2852, 30806, 338, 782, 936, 519, 2197, 269, 2201, 11728, 3781, 267, 519, 6296, 786, 581, 7368, 1354, 9098, 3217, 593, 966, 6387, 321, 2830, 538, 519, 1101, 3014, 540, 519, 1710, 1023, 563, 288, 1187, 2998, 10627, 781, 2450, 543, 2597, 1118, 621, 4443, 547, 7500, 609, 835, 1688, 610, 1079, 269, 3213, 2851, 666, 19184, 513, 3440, 909, 609, 835, 1688, 543, 5734, 1402, 13733, 610, 2666, 11084, 20991, 543, 609, 3152, 6111, 609, 513, 1187, 2998, 10627, 982, 609, 513, 2834, 10627, 269, 4340, 547, 606, 2376, 676, 700, 297, 13328, 267, 1164, 1153, 13836, 16455, 17659, 853, 3326, 1767, 1187, 2998, 16835, 1450, 1864, 547, 5734, 811, 11084, 1317, 18219, 2834, 16835, 1131, 834, 18875, 596, 856, 1701, 674, 2426, 334, 16835, 1058, 581, 1031, 607, 513, 2259, 1907, 1152, 543, 1058, 711, 581, 1031, 547, 5734, 513, 8486, 3481, 3440, 563, 10193, 1572, 795, 1442, 610, 18942, 1139, 7163, 269, 1323, 896, 3258, 618, 12816, 676, 8695, 543, 2367, 585, 1489, 540, 519, 1449, 2873, 543, 4050, 529, 1282, 5026, 269, 589, 795, 1442, 560, 1905, 676, 3294, 6585, 519, 1449, 2873, 909, 543, 2673, 547, 519, 1560, 547, 948, 1832, 873, 689, 1373, 2695, 1639, 1063, 519, 25427, 338, 267, 610, 689, 6335, 532, 610, 16304, 719, 269, 634, 795, 1442, 560, 1905, 609, 7484, 17927, 3568, 513, 17927, 547, 3180, 513, 8825, 7484, 563, 13828, 11308, 543, 4496, 18585, 630, 10090, 958, 11956, 264, 16835, 616, 3622, 15868, 538, 23153, 13836, 269, 19045, 18585, 16835, 616, 3622, 9833, 607, 1373, 5827, 540, 18644, 513, 3440, 5488, 543, 20991, 609, 519, 1482, 1379, 269, 1717, 267, 2810, 2338, 540, 834, 6229, 523, 10627, 682, 8046, 257, 723, 7153, 538, 2487, 1296, 267, 10452, 513, 7678, 1394, 547, 3574, 936, 3106, 4145, 543, 267, 538, 519, 2013, 540, 1908, 326, 5573, 4832, 13836, 3574, 1532, 520, 682, 8046, 267, 547, 1732, 5965, 5716, 585, 519, 3318, 682, 8046, 602, 2154, 3574, 16835, 269, 19045, 18585, 16835, 666, 6494, 513, 3440, 2509, 606, 796, 31695, 8486, 7815, 781, 2212, 909, 547, 476, 2568, 10264, 476, 277, 538, 630, 1240, 269, 4510, 544, 264, 2476, 693, 513, 6991, 2484, 1932, 1164, 585, 519, 8486, 7815, 547, 1205, 856, 540, 519, 1259, 538, 942, 269, 2368, 23153, 13836, 3906, 17997, 10627, 5663, 543, 4152, 4441, 799, 3801, 547, 3970, 5021, 3440, 3432, 585, 3574, 543, 1875, 2914, 797, 16835, 563, 5575, 3490, 1187, 2998, 16125, 8038, 11084, 547, 4099, 2361, 630, 3559, 1186, 1934, 952, 1312, 1187, 2998, 5734, 1562, 1847, 909, 543, 6306, 267, 18644, 689, 827, 519, 4395, 540, 519, 544, 895, 6905, 2509, 519, 13279, 1040, 4741, 25001, 547, 2034, 267, 2034, 1666, 17507, 568, 2759, 4752, 630, 1721, 721, 621, 729, 267, 1022, 1811, 910, 1689, 547, 9290, 707, 2511, 1040, 12059, 3490, 1187, 2998, 16125, 11084, 547, 2451, 2361, 267, 945, 12235, 547, 3791, 267, 609, 513, 2034, 2110, 17380, 607, 2759, 4752, 630, 8117, 596, 2731, 1810, 1405, 991, 835, 267, 952, 596, 2811, 695, 2180, 663, 539, 1916, 10214, 538, 1346, 24233, 1296, 267, 8128, 593, 519, 3014, 19230, 519, 2259, 540, 18644, 1187, 2998, 525, 1058, 581, 3908, 547, 19393, 269, 8361, 932, 611, 19213, 267, 835, 540, 13836, 779, 9998, 28288, 267, 10645, 968, 763, 4617, 652, 10627, 1154, 568, 3254, 950, 519, 16835, 5443, 18656, 2471, 538, 1187, 2998, 18644, 2223, 2687, 547, 519, 3203, 540, 15506, 1154, 269, 11524, 8815, 602, 519, 2259, 729, 3983, 585, 2866, 513, 4402, 779, 16846, 525, 281, 968, 4407, 8384, 930, 540, 938, 4195, 5443, 8026, 2048, 325, 2426, 334, 685, 10627, 1154, 519, 824, 12784, 621, 7018, 547, 803, 602, 621, 729, 827, 519, 10782, 2186, 540, 2259, 513, 16835, 2006, 1223, 4952, 538, 2866, 1010, 3750, 538, 10627, 1154, 2223, 513, 5856, 10645, 538, 519, 4728, 476, 274, 267, 476, 6642, 277, 7160, 540, 634, 22505, 532, 5020, 269, 968, 2005, 14884, 519, 3750, 547, 2743, 519, 3440, 538, 10627, 1154, 621, 538, 513, 6073, 799, 2760, 4386, 538, 4890, 1404, 269, 898, 11129, 547, 581, 19275, 593, 1169, 1134, 14931, 3440, 2361, 1848 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 610, 581, 752, 2390, 938, 3946, 19595, 721, 540, 875, 4448, 649, 616, 547, 519, 18819, 543, 3157, 540, 519, 2067, 1158, 269, 3807, 713, 6640, 519, 17587, 15356, 538, 25665, 729, 13752, 547, 1614, 3744, 945, 723, 7152, 713, 4276, 693, 519, 10408, 1377, 269, 1703, 568, 1945, 602, 7959, 968, 2431, 892, 950, 519, 2831, 616, 609, 721, 269, 634, 13400, 1158, 607, 1134, 607, 1454, 540, 519, 5939, 779, 1686, 3238, 2831, 543, 2470, 543, 2847, 9407, 1472, 741, 18819, 282, 950, 789, 27892, 267, 1141, 789, 32603, 267, 1141, 789, 616, 6854, 267, 875, 789, 616, 10480, 269, 769, 4583, 3032, 1117, 23552, 899, 15873, 637, 649, 1265, 2831, 540, 782, 12204, 543, 2592, 540, 2470, 1107, 10568, 267, 5613, 267, 14462, 4054, 267, 19211, 267, 24301, 1107, 6719, 607, 513, 2067, 851, 711, 1152, 540, 519, 13400, 1650, 855, 849, 540, 519, 5939, 779, 1650, 269, 12292, 941, 12595, 22590, 267, 3246, 1898, 7449, 14571, 585, 3504, 3885, 282, 1426, 267, 7802, 267, 5144, 267, 14246, 267, 546, 2426, 1031, 538, 2679, 269, 1358, 941, 2356, 6854, 3330, 519, 2777, 609, 519, 1920, 693, 3781, 585, 519, 2831, 685, 4027, 563, 3383, 621, 568, 5667, 584, 19828, 602, 950, 3168, 585, 606, 1383, 540, 2696, 779, 11865, 585, 938, 2115, 267, 4906, 7125, 3007, 547, 519, 5017, 540, 519, 2011, 543, 519, 561, 25788, 540, 519, 2361, 269, 1261, 3076, 1206, 909, 1018, 2663, 31188, 2103, 1131, 1289, 519, 3883, 540, 7186, 267, 2696, 779, 1101, 1433, 282, 2696, 779, 13414, 538, 519, 2067, 1158, 563, 2026, 649, 2893, 609, 938, 10130, 1107, 534, 7769, 799, 3142, 7772, 547, 721, 267, 1397, 2648, 267, 6542, 7279, 267, 1118, 721, 14902, 267, 543, 7618, 721, 602, 649, 1932, 4866, 547, 519, 3662, 10806, 1107, 607, 649, 556, 14765, 5367, 602, 2696, 779, 2648, 28099, 2114, 711, 1152, 1480, 7919, 855, 782, 7068, 543, 519, 3618, 3294, 267, 649, 941, 15260, 3293, 269, 1656, 2943, 538, 713, 3348, 13895, 942, 267, 950, 3618, 779, 1272, 13793, 338, 538, 519, 3666, 267, 607, 3662, 2249, 616, 1500, 17255, 543, 2067, 12469, 2333, 1317, 540, 938, 1480, 1416, 16531, 543, 26846, 267, 1018, 798, 4906, 685, 1913, 968, 29264, 519, 5017, 892, 723, 547, 2161, 547, 721, 286, 1879, 649, 666, 1100, 3476, 1413, 547, 519, 4279, 589, 4157, 267, 519, 18213, 25190, 517, 267, 519, 667, 29081, 610, 519, 29732, 2006, 779, 2782, 321, 2401, 1317, 789, 1100, 3476, 723, 835, 17005, 4759, 2713, 593, 938, 4541, 286, 1879, 649, 666, 1100, 3476, 2015, 519, 21586, 632, 3967, 1512, 334, 1250, 337, 1479, 267, 901, 8926, 1977, 320, 267, 610, 519, 22484, 540, 519, 11882, 590, 2017, 325, 701, 320, 1317, 741, 5898, 543, 741, 14947, 723, 1044, 16701, 5344, 19039, 569, 888, 5575, 267, 4906, 685, 1913, 7618, 721, 540, 519, 8904, 540, 938, 3510, 269, 3571, 1913, 941, 6035, 538, 513, 2796, 602, 1100, 3476, 6818, 269, 1924, 1010, 1913, 16436, 721, 547, 513, 22672, 11238, 540, 1018, 649, 1480, 7919, 723, 2944, 563, 13553, 267, 1010, 1913, 16436, 721, 547, 3314, 543, 30712, 3270, 540, 1272, 602, 616, 20102, 6225, 267, 607, 2696, 5497, 269, 1284, 3112, 1175, 1589, 540, 1018, 2306, 1480, 1272, 4443, 1107, 513, 2186, 540, 2247, 1652, 267, 865, 10777, 968, 2889, 28698, 892, 602, 30001, 519, 1360, 2666, 2390, 799, 649, 2661, 269, 1284, 3112, 1450, 5707, 753, 540, 2872, 610, 16529, 14761, 610, 6067, 9037, 9367, 547, 2161, 891, 4145, 616, 968, 1721, 519, 5017, 1848, 1284, 1590, 1589, 827, 875, 938, 1480, 1134, 5630, 568, 1303, 342, 1441, 609, 602, 540, 782, 7068, 543, 519, 3618, 269, 1284, 1590, 1020, 513, 8994, 14820, 602, 5963, 4959, 968, 1721, 519, 5017, 892, 543, 519, 3165, 543, 519, 1283, 31542, 543, 2507, 639, 2336, 27716, 779, 1913, 1448, 721, 547, 2696, 779, 7287, 547, 2844, 782, 1272, 998, 713, 4190, 267, 17866, 1158, 538, 799, 649, 2661, 282, 547, 1683, 585, 782, 7068, 1018, 649, 991, 269, 1924, 267, 607, 649, 3972, 2696, 779, 9153, 267, 949, 649, 798, 938, 851, 1107, 538, 938, 5321, 267, 538, 938, 3506, 267, 538, 938, 28737, 267, 538, 938, 2146, 267, 543, 538, 938, 1158, 1107, 6411, 602, 616, 1507, 630, 3697, 24600, 1070, 6411, 602, 616, 4264, 630, 3697, 9544, 4054, 1070, 6411, 602, 1305, 513, 1007, 4287, 630, 3697, 952, 519, 7193, 263, 24433, 264, 941, 547, 6368, 2820, 652, 689, 8093, 10173, 1070, 6411, 602, 616, 2647, 23568, 630, 3697, 4507, 547, 3500, 2916, 1689, 1070, 602, 649, 949, 6443, 2696, 538, 2870, 513, 1158, 602, 568, 5963, 968, 1721, 519, 5017, 3034, 763, 4860, 269, 11518, 9445, 589, 269, 2983, 776, 568, 12815, 528, 540, 519, 6519, 26111, 3465, 2421, 614, 1014, 5783, 267, 513, 5682, 293, 28216, 29533, 267, 543, 513, 4759, 540, 670, 14641, 16675, 269, 0, 763, 3047, 568, 476, 275, 269, 276, 5479, 1296, 2025, 267, 18972, 723, 5030, 2161, 585, 476, 1911, 267, 1822, 1296, 267, 519, 3618, 267, 1454, 1354, 519, 12625, 540, 3425, 814, 2938, 2101, 970, 18728, 543, 20296, 2242, 602, 941, 2484, 10565, 982, 835, 538, 1747, 2221, 543, 649, 723, 519, 10703, 527, 547, 1589, 649, 666, 3247, 713, 2916, 1689, 676, 1210, 7864, 5068, 11435, 2336, 24618, 568, 513, 1582, 31925, 4541, 543, 649, 723, 547, 5855, 827, 6000, 711, 519, 4541, 538, 3068, 540, 2916, 1689, 269, 5272, 2101, 2249, 602, 814, 5030, 593, 519, 3068, 540, 713, 4541, 723, 1044, 530, 21317, 1055, 3618, 543, 649, 616, 30758, 1985, 267, 855, 782, 649, 666, 798, 568, 547, 8488, 713, 543, 713, 568, 1946, 888, 24618, 779, 18633, 2916, 454, 16908, 593, 3047, 814, 25577, 543, 7960, 585, 7366, 540, 6634, 540, 1296, 269, 1717, 267, 713, 1281, 711, 1611, 602, 519, 2916, 814, 1044, 7123, 2429, 713, 942, 269, 24959, 1239, 2982, 2963, 540, 1804, 8397, 2916, 2242, 538, 519, 2250, 267, 3361, 676, 2188, 899, 519, 28550, 540, 519, 3047, 779, 7852, 543, 29684, 6676, 3350, 630, 553, 2916, 568, 4299, 676, 519, 3892, 540, 519, 4541, 779, 17407, 1040, 2368, 540, 891, 2242, 941, 16795, 282, 1866, 941, 1454, 811, 4028, 563, 1103, 519, 4571, 31350, 17675, 267, 827, 476, 1911, 2929, 1296, 3516, 267, 634, 4541, 729, 15911, 982, 2221, 1107, 3744, 723, 6059, 621, 729, 476, 277, 1107, 476, 279, 9180, 15911, 269, 12539, 8166, 2157, 538, 519, 5790, 941, 827, 476, 276, 2053, 2362, 982, 2221, 269, 1452, 3636, 2175, 16768, 585, 9937, 540, 2929, 540, 1296, 1354, 519, 2916, 3323, 9023, 563, 305, 777, 573, 2837, 1689, 454, 763, 17027, 2594, 849, 8761, 10565, 2621, 950, 972, 729, 1454, 811, 4028, 2916, 1689, 269, 2290, 540, 519, 16595, 2242, 538, 3047, 779, 2837, 3576, 1747, 1282, 606, 2680, 602, 5836, 20802, 1289, 519, 6022, 2801, 18152, 7232, 18152, 8143, 5021, 563, 4649, 2929, 1296, 3516, 267, 2518, 5210, 9782, 476, 277, 9180, 936, 513, 1974, 540, 476, 736, 267, 1822, 1296, 610, 1447, 269, 6145, 2916, 1689, 2221, 267, 3744, 1589, 602, 606, 2333, 538, 8511, 9362, 3361, 713, 4028, 8337, 269, 901, 729, 7654, 1813, 547, 513, 21472, 5305, 540, 13792, 15655, 12074, 1107, 899, 3327, 8166, 267, 15655, 568, 513, 8511, 3154, 269, 901, 1974, 540, 2916, 1689, 3361, 2101, 5117, 2242, 543, 14486, 540, 1082, 2249, 563, 2304, 538, 525, 5115, 762, 3932, 540, 713, 568, 602, 519, 3047, 779, 2916, 568, 18633, 543, 5634, 2242, 538, 519, 3047, 779, 1648, 6578, 2014, 1804, 2242, 538, 2916, 563, 12663, 519, 4541, 7639, 1480, 13779, 888, 2467, 568, 930, 4313, 538, 519, 1702, 602, 1256, 519, 10782, 30924, 3631, 540, 2104, 2916, 1689, 616, 12691, 547, 1267, 538, 519, 3047, 7680, 16374, 15911, 982, 1346, 2938, 538, 519, 31350, 17675, 269, 1924, 267, 649, 616, 12691, 547, 1118, 519, 4541, 796, 514, 4725, 3386, 585, 1272, 563, 19013, 1498, 267, 513, 4028, 1689, 547, 1454, 15911, 5210, 543, 2362, 4262, 2157, 1131, 2014, 11999, 17522, 547, 8134, 543, 1480, 2486, 2066, 519, 1158, 269, 2368, 2104, 2916, 1689, 568, 17149, 855, 4376, 649, 666, 798, 547, 2569, 519, 4336, 540, 713, 1689, 786, 581, 26656, 3116, 649, 723, 547, 3640, 610, 11435, 543, 4126, 547, 1265, 1776, 4541, 547, 6861, 2336, 1103, 14656, 538, 519, 1913, 540, 1390, 6723, 2961, 4802, 267, 2252, 649, 1832, 3257, 1018, 649, 616, 3257, 519, 3618, 786, 21199, 721, 899, 513, 7646, 2013, 540, 7904, 553, 267, 513, 2627, 562, 7572, 766, 267, 606, 12105, 7583, 11546, 1606, 659, 269, 634, 4541, 568, 2469, 1100, 1141, 267, 855, 519, 1004, 616, 256, 13268, 707, 11435, 11570, 256, 0, 14300, 540, 26490, 528, 538, 513, 22054, 454, 10376, 2197, 15034, 519, 824, 540, 1373, 519, 26490, 528, 563, 28205, 17927, 20695, 2829, 1185, 4646, 606, 19710, 547, 15658, 1761, 26490, 832, 454, 13146, 6201, 540, 26490, 528, 689, 519, 5680, 454, 763, 4807, 4941, 942, 547, 1589, 827, 13197, 10997, 267, 855, 7128, 5462, 602, 519, 812, 729, 519, 26490, 528, 543, 4682, 827, 13197, 10997, 1996, 1864, 585, 6469, 5208, 543, 14213, 563, 763, 2367, 10645, 26063, 602, 519, 4807, 729, 519, 26490, 528, 267, 2687, 547, 513, 7128, 1867, 563, 11073, 2515, 540, 519, 1101, 476, 1789, 7643, 267, 950, 589, 828, 1372, 523, 630, 736, 268, 274, 264, 6450, 15903, 922, 1378, 14406, 2185, 15833, 267, 18328, 310, 729, 519, 26490, 528, 563, 29662, 1091, 5652, 814, 1767, 681, 658, 15879, 729, 21108, 5128, 1996, 1743, 684, 5287, 26490, 832, 543, 1705, 711, 21102, 519, 29075, 563, 303, 5995, 1723, 267, 945, 1568, 1079, 6009, 538, 1840, 547, 1010, 18375, 267, 3357, 856, 519, 26490, 528, 689, 519, 1376, 267, 4259, 909, 1010, 2178, 936, 8518, 2924, 609, 606, 2500, 795, 629, 563, 7069, 1761, 10419, 15249, 1705, 711, 3514, 1250, 2070, 540, 1018, 606, 26490, 528, 729, 9277, 547, 1413, 899, 563, 10112, 9665, 10588, 30374, 1744, 27553, 4210, 2727, 2040, 4364, 909, 519, 2013, 676, 10213, 29632, 832, 602, 717, 817, 518, 729, 519, 26490, 528, 607, 519, 10071, 16668, 547, 513, 2673, 563, 297, 2158, 20639, 538, 519, 6679, 476, 3445, 7643, 540, 519, 2034, 3368, 607, 519, 570, 22061, 2968, 519, 26490, 832, 679, 8905, 547, 513, 476, 274, 268, 271, 10406, 4083, 5033, 604, 10904, 3094, 936, 3143, 563, 4322, 1383, 5220, 616, 5697, 8850, 689, 1585, 2228, 3377, 2959, 547, 2992, 1699, 6165, 540, 519, 2262, 1412, 12000, 31395, 9538, 14358, 6829, 538, 519, 1806, 798, 711, 2099, 519, 6644, 540, 8585, 26713, 268, 31812, 610, 922, 15769, 269, 27189, 721, 5955, 563, 8980, 16165, 8577, 3036, 4347, 1441, 585, 2296, 5678, 22996, 454, 8980, 16165, 8577, 3036, 4347, 1441, 585, 8866, 454, 5353, 523, 543, 1261, 731, 454, 1432, 1500, 596, 1616, 547, 1413, 909, 26490, 528, 286, 7490, 2995, 721, 1141, 596, 1224, 610, 4862, 621, 630, 10175, 519, 10839, 267, 952, 2009, 1040, 0, 301, 6717, 301, 13832, 585, 14904, 454, 1805, 6729, 9435, 267, 19405, 476, 272, 269, 1001, 277, 454, 4692, 1356, 610, 922, 2126, 666, 2014, 18473, 543, 454, 27271, 5739, 2589, 269, 2290, 540, 519, 1034, 454, 21720, 2589, 1851, 1004, 609, 7181, 454, 4754, 1356, 568, 11702, 269, 28563, 5338, 949, 581, 3361, 676, 519, 454, 4754, 1356, 610, 2860, 2126, 563, 17484, 25646, 2126, 949, 581, 1031, 547, 3247, 11702, 563, 17484, 25646, 2409, 1331, 24409, 267, 24056, 267, 543, 454, 17742, 269, 7736, 25646, 2126, 949, 960, 693, 1101, 855, 1419, 454, 1076, 5338, 7024, 538, 942, 269, 2859, 1382, 568, 2877, 547, 454, 16753, 875, 1134, 1439, 25646, 2126, 1568, 563, 2467, 616, 1079, 824, 2126, 3681, 538, 1840, 547, 454, 754, 25646, 2126, 269, 2506, 2513, 1436, 949, 581, 1031, 454, 1729, 2673, 909, 610, 3625, 1973, 8043, 269, 2368, 1382, 454, 26625, 2176, 946, 540, 661, 16576, 307, 547, 1852, 11702, 269, 661, 16576, 307, 454, 560, 3591, 1312, 2487, 543, 5571, 1973, 2530, 563, 3682, 2023, 6802, 20127, 666, 581, 11311, 676, 7189, 454, 1721, 11702, 269, 1717, 267, 621, 568, 15458, 875, 1134, 789, 454, 1740, 547, 3247, 11702, 269, 2859, 1382, 568, 2877, 563, 8448, 2589, 1644, 547, 7181, 2860, 1331, 454, 335, 664, 543, 15353, 609, 610, 1510, 13481, 269, 10266, 949, 454, 2041, 6417, 609, 5982, 3797, 267, 18068, 2676, 335, 664, 6646, 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 ]
[ 630, 514, 513, 2339, 540, 4374, 264, 952, 621, 568, 6632, 7537, 291, 269, 1403, 538, 835, 3750, 1152, 267, 621, 949, 979, 29462, 1813, 547, 13180, 689, 519, 824, 3750, 563, 1432, 616, 519, 12580, 888, 1432, 616, 519, 15486, 888, 21848, 5829, 31004, 23979, 568, 12947, 716, 3645, 267, 543, 519, 3169, 2014, 568, 711, 4628, 6956, 269, 6520, 5526, 547, 581, 519, 7887, 1981, 3815, 609, 5868, 2356, 1310, 519, 2085, 540, 476, 4792, 344, 3464, 269, 898, 5540, 2021, 811, 4749, 982, 2367, 543, 513, 1297, 540, 6090, 723, 1044, 4362, 855, 621, 568, 711, 2141, 15110, 269, 31056, 1981, 2188, 1331, 281, 7296, 8377, 267, 2732, 543, 11158, 4598, 563, 1432, 568, 519, 23369, 888, 307, 805, 906, 616, 2139, 585, 6632, 31004, 23979, 1107, 855, 1247, 2500, 693, 7303, 2417, 3441, 267, 789, 666, 1406, 2048, 1495, 334, 685, 3441, 602, 779, 2907, 7018, 267, 865, 4358, 2126, 607, 2038, 607, 2009, 666, 1118, 513, 2462, 3017, 563, 15703, 2048, 12901, 328, 13305, 9680, 293, 685, 24409, 616, 2139, 602, 950, 22280, 883, 519, 1394, 12068, 540, 519, 3750, 616, 2500, 693, 10300, 1154, 519, 3356, 540, 6632, 7537, 291, 269, 1358, 960, 676, 32485, 519, 2208, 543, 24694, 1315, 11702, 540, 1007, 543, 9402, 1973, 8043, 538, 1315, 896, 519, 22100, 563, 24400, 519, 1318, 5075, 15494, 16758, 585, 707, 6391, 568, 14063, 269, 901, 568, 513, 1272, 4657, 5650, 1310, 782, 267, 543, 596, 991, 547, 723, 2347, 3972, 538, 707, 18874, 543, 1416, 2319, 540, 4648, 563, 5415, 1344, 827, 14640, 13305, 9680, 293, 2271, 9545, 527, 9418, 769, 915, 687, 454, 2304, 13297, 540, 4550, 8686, 6018, 32361, 2208, 3815, 630, 21468, 13305, 9680, 293, 264, 883, 519, 17911, 12068, 610, 3857, 516, 748, 13570, 540, 519, 3750, 6663, 547, 2569, 31004, 522, 539, 9047, 267, 610, 9402, 1973, 6077, 2208, 3330, 519, 3750, 24707, 14640, 13305, 9680, 293, 2271, 9545, 527, 9418, 769, 915, 687, 0, 1320, 748, 1343, 540, 1004, 538, 2274, 1182, 614, 1522, 723, 3987, 855, 3274, 723, 1100, 2856, 789, 616, 2713, 609, 519, 5732, 27676, 2783, 267, 2687, 547, 513, 1007, 1353, 269, 9122, 593, 9584, 1239, 689, 519, 2274, 1182, 614, 21744, 12128, 13539, 267, 607, 1082, 607, 476, 277, 267, 7785, 1004, 538, 519, 2749, 1223, 723, 3768, 328, 30938, 3987, 563, 25387, 267, 3928, 538, 519, 2749, 4867, 1796, 2362, 982, 519, 3084, 3328, 267, 609, 3592, 835, 538, 476, 1015, 1004, 1934, 4299, 676, 519, 2783, 269, 10765, 1239, 689, 519, 17493, 12128, 5177, 5267, 602, 519, 1297, 540, 2749, 1004, 2713, 609, 1826, 268, 273, 3987, 814, 24111, 689, 476, 2641, 267, 10384, 547, 476, 4029, 267, 1220, 271, 538, 1175, 5216, 1296, 267, 606, 2333, 540, 5176, 476, 3393, 829, 1298, 563, 291, 1014, 324, 8055, 267, 1072, 1949, 6278, 9614, 693, 12128, 5177, 11068, 4133, 543, 5101, 5143, 2274, 1182, 1562, 10921, 299, 633, 519, 2749, 814, 835, 540, 519, 5207, 9860, 3928, 538, 4789, 269, 901, 267, 1352, 1767, 267, 729, 14356, 1813, 547, 922, 3309, 2551, 543, 2127, 540, 1713, 22975, 563, 9515, 1767, 281, 968, 2171, 917, 602, 519, 1981, 540, 3384, 1826, 268, 273, 3987, 568, 1079, 547, 2185, 2053, 2362, 1851, 1004, 540, 3162, 7489, 16350, 543, 3979, 4211, 541, 11194, 610, 4563, 3979, 16350, 269, 634, 476, 3393, 829, 1298, 2333, 1281, 711, 1331, 1346, 945, 723, 711, 2943, 1044, 8995, 610, 1346, 693, 1981, 540, 3384, 519, 2783, 563, 257, 30048, 5177, 11068, 4133, 543, 5101, 1568, 5702, 609, 519, 23244, 543, 1004, 2066, 1114, 2950, 538, 2274, 1182, 614, 998, 2621, 543, 824, 7341, 547, 6318, 4656, 540, 1826, 268, 273, 3987, 543, 1683, 1344, 593, 2732, 267, 3635, 543, 9263, 3562, 24406, 518, 1489, 865, 1004, 666, 2661, 1134, 609, 519, 2783, 3034, 8993, 999, 5950, 676, 519, 12128, 543, 25682, 5748, 2303, 602, 1034, 1004, 945, 723, 519, 2783, 910, 607, 1082, 607, 8370, 538, 1169, 476, 1015, 910, 723, 1826, 476, 273, 267, 799, 3322, 519, 1560, 1373, 8572, 547, 3132, 2614, 7378, 610, 7378, 602, 3085, 1406, 960, 5265, 269, 11109, 3987, 666, 1291, 547, 8374, 971, 607, 2295, 6285, 267, 18116, 267, 21901, 543, 993, 1584, 725, 563, 763, 1292, 1981, 2188, 2404, 609, 3987, 616, 2085, 267, 14940, 267, 8876, 3063, 2597, 267, 1164, 1973, 2604, 543, 2348, 513, 2673, 3448, 609, 1826, 268, 273, 3987, 269, 1306, 851, 540, 606, 4656, 5859, 267, 12128, 5177, 568, 8716, 1004, 547, 3346, 741, 2199, 13382, 547, 2307, 585, 513, 1973, 1449, 952, 789, 616, 7680, 519, 1739, 2589, 912, 7883, 532, 547, 519, 16003, 811, 1419, 267, 3226, 693, 3781, 942, 454, 30342, 811, 13110, 454, 299, 3151, 2597, 1510, 3843, 454, 7049, 1388, 21422, 610, 4278, 2313, 454, 290, 7491, 543, 16398, 2921, 3476, 547, 12115, 454, 30342, 5393, 19818, 344, 454, 24248, 712, 12463, 585, 2274, 1182, 614, 4639, 267, 700, 714, 918, 754, 718, 267, 814, 5063, 1044, 8716, 1004, 538, 519, 2749, 547, 1205, 7318, 585, 519, 2783, 269, 24935, 1310, 1373, 7318, 9887, 693, 513, 26849, 538, 23902, 28386, 10003, 267, 1352, 1767, 281, 968, 21093, 8995, 2038, 568, 865, 1271, 585, 782, 2010, 540, 3987, 269, 898, 666, 4688, 2729, 267, 2061, 513, 2564, 6595, 267, 543, 2569, 519, 1981, 540, 1272, 19145, 8374, 2663, 563, 257, 6546, 779, 1946, 621, 779, 4105, 1004, 1205, 7318, 269, 10644, 568, 2141, 1732, 982, 10826, 269, 3733, 1449, 729, 2656, 543, 1928, 1652, 267, 543, 594, 1131, 5000, 3025, 547, 979, 856, 543, 1205, 835, 2933, 3034, 3918, 4696, 715, 28692, 281, 2073 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3927, 269, 1411, 607, 513, 2385, 666, 9090, 948, 538, 713, 609, 707, 15962, 1489, 563, 2080, 616, 930, 2835, 799, 2285, 3730, 11378, 1644, 547, 713, 1888, 912, 272, 264, 7170, 281, 10089, 569, 16513, 2659, 4132, 1280, 5020, 281, 13363, 707, 1126, 689, 1855, 2084, 267, 570, 17481, 543, 31421, 585, 6153, 269, 22439, 2433, 11835, 601, 13206, 518, 543, 20388, 320, 3794, 520, 10045, 563, 273, 264, 7170, 281, 31421, 10644, 543, 27800, 281, 7464, 2065, 11150, 585, 12140, 630, 763, 2871, 559, 5112, 19750, 27800, 538, 3427, 10022, 1040, 22439, 281, 19626, 631, 269, 31687, 13145, 12854, 267, 16910, 18333, 700, 269, 25385, 601, 720, 12854, 543, 8845, 589, 269, 13845, 7035, 8457, 12854, 563, 5278, 31421, 10803, 454, 268, 2859, 982, 835, 856, 540, 1169, 2947, 630, 736, 269, 279, 8472, 1053, 630, 516, 19959, 264, 616, 9601, 540, 11648, 269, 1703, 949, 581, 11389, 19959, 2665, 563, 268, 2859, 982, 3368, 540, 11648, 3871, 630, 6872, 8472, 3247, 950, 513, 9263, 18060, 525, 593, 15773, 540, 519, 6408, 563, 268, 3427, 2861, 11648, 6604, 3292, 6175, 11648, 676, 909, 547, 476, 1839, 18336, 268, 634, 4128, 585, 1373, 13032, 1221, 4080, 1034, 1419, 676, 1053, 941, 5654, 630, 4649, 15992, 1560, 3337, 630, 4391, 15992, 543, 5198, 630, 1626, 260, 1916, 268, 7324, 1164, 1153, 1053, 267, 476, 1428, 269, 276, 260, 616, 6880, 321, 1638, 1221, 543, 476, 736, 269, 273, 260, 616, 13032, 1221, 593, 1153, 3959, 563, 268, 7324, 1647, 1153, 1053, 267, 476, 2190, 260, 616, 6880, 321, 1638, 1221, 543, 476, 3393, 260, 616, 13032, 1221, 593, 1153, 3959, 563, 268, 634, 21159, 540, 2043, 945, 723, 4810, 30378, 693, 930, 1448, 538, 741, 3076, 564, 1307, 723, 5176, 23060, 630, 1240, 260, 547, 476, 4097, 8472, 689, 476, 1220, 278, 268, 1001, 277, 563, 268, 476, 3445, 260, 540, 12322, 945, 1867, 1373, 6880, 321, 1638, 1221, 723, 849, 1044, 13032, 1221, 22356, 563, 268, 634, 2817, 4201, 2065, 5980, 5359, 602, 476, 2412, 2600, 540, 1453, 609, 10295, 543, 476, 2568, 2600, 540, 1453, 609, 1306, 704, 3455, 779, 6794, 723, 4810, 11648, 563, 268, 10089, 569, 568, 2576, 945, 19330, 6568, 563, 268, 5620, 513, 15962, 2078, 609, 707, 1126, 693, 1753, 563, 268, 18918, 707, 1126, 538, 2168, 2238, 563, 268, 1684, 707, 1655, 547, 2327, 602, 707, 1126, 568, 7874, 543, 561, 990, 762, 563, 268, 20821, 707, 1126, 781, 3610, 5781, 563, 2005, 568, 4443, 547, 1628, 2178, 1453, 982, 547, 7816, 7745, 2367, 23102, 19291, 30463, 454, 4462, 1652, 543, 2394, 938, 2486, 17767, 6880, 11648, 585, 1018, 621, 568, 267, 519, 7092, 540, 5215, 540, 14980, 9601, 786, 3136, 23102, 17555, 12756, 932, 1511, 345, 0, 5278, 3214, 723, 513, 2352, 942, 7231, 609, 1919, 950, 789, 798, 711, 979, 741, 1259, 269, 2598, 1952, 2002, 618, 666, 581, 2182, 543, 930, 3214, 723, 513, 1966, 2324, 998, 621, 269, 901, 1514, 1650, 3096, 27107, 22473, 645, 4629, 306, 269, 547, 4497, 519, 5467, 543, 547, 948, 707, 2875, 1174, 827, 519, 4743, 540, 29359, 269, 6435, 995, 543, 796, 15276, 995, 4555, 616, 3769, 607, 851, 540, 519, 12003, 4640, 269, 7102, 2875, 945, 15055, 3381, 3756, 786, 581, 26970, 538, 713, 1514, 1650, 827, 7231, 609, 29359, 269, 4279, 585, 1053, 609, 10295, 269, 0, 292, 11915, 3211, 910, 3211, 267, 3992, 4566, 267, 4116, 267, 16504, 3211, 269, 9904, 3211, 268, 2875, 5431, 267, 2681, 267, 543, 2328, 5022, 602, 616, 1007, 547, 873, 269, 7801, 3211, 268, 6140, 2831, 907, 22084, 344, 974, 12329, 281, 1863, 7792, 3211, 11112, 7005, 267, 5131, 7792, 3211, 543, 3992, 4566, 585, 1169, 11112, 4116, 269, 1265, 7792, 3211, 593, 1022, 1888, 281, 6863, 267, 8239, 267, 6947, 267, 2542, 267, 1603, 543, 6340, 256, 269, 476, 278, 628, 3446, 2979, 3211, 1453, 910, 7792, 7824, 338, 267, 476, 278, 628, 3446, 2979, 3211, 1107, 7792, 7824, 2238, 585, 2979, 2259, 269, 713, 568, 513, 5078, 4199, 2985, 585, 18749, 17603, 267, 3610, 543, 3237, 10756, 305, 26559, 3211, 1923, 2241, 5223, 3211, 267, 22472, 3211, 2241, 5223, 3211, 269, 4976, 3132, 2516, 6698, 1053, 3313, 12753, 6698, 907, 5291, 2517, 4178, 269, 4118, 8584, 1749, 2593, 24250, 520, 3930, 270, 26594, 318, 305, 520, 3930, 11258, 22472, 8167, 4976, 281, 28976, 12753, 263, 273, 476, 273, 1070, 901, 5223, 8167, 4976, 3340, 1053, 14458, 12753, 269, 10371, 476, 4366, 281, 476, 2568, 29776, 476, 275, 281, 276, 269, 5291, 2517, 4178, 269, 3559, 4771, 5976, 4118, 2593, 270, 2745, 1963, 270, 4103, 19298, 270, 7806, 1470, 318, 2889, 15251, 11320, 528, 271, 2568, 272, 7806, 1470, 6860, 21867, 15026, 2979, 3211, 267, 4889, 894, 3959, 281, 1840, 269, 942, 960, 24324, 256, 4976, 12134, 2875, 27682, 4194, 2596, 1840, 2042, 1547, 5291, 2517, 4178, 21993, 1321, 4118, 4103, 19298, 2593, 270, 0, 293, 12294, 9544, 1184, 12222, 454, 5575, 267, 519, 521, 12976, 942, 2433, 2603, 639, 1100, 18959, 3599, 1974, 2073, 607, 1279, 607, 519, 1216, 307, 17687, 666, 581, 9738, 693, 1626, 6781, 913, 2073, 2185, 616, 4692, 581, 521, 1144, 1547, 20769, 639, 538, 2837, 267, 1769, 540, 513, 5078, 15152, 2694, 267, 689, 521, 12976, 547, 15496, 5614, 2115, 2004, 268, 2568, 291, 904, 540, 15489, 23921, 2568, 268, 3199, 291, 904, 563, 10521, 267, 23268, 2126, 2433, 2603, 639, 10053, 2182, 7387, 1590, 2736, 1354, 5841, 1924, 1136, 267, 20769, 639, 2467, 1422, 685, 338, 513, 1507, 31732, 4288, 9133, 267, 519, 824, 1439, 814, 513, 1507, 8486, 1547, 2290, 1439, 540, 519, 1507, 29365, 602, 616, 11315, 23895, 618, 294, 1037, 535, 2001, 539, 610, 7745, 609, 726, 4536, 1016, 268, 17835, 513, 1507, 5023, 2073, 6297, 711, 547, 32521, 519, 21872, 2073, 855, 849, 2710, 711, 7387, 539, 4586, 23612, 267, 3383, 1136, 23286, 2433, 14400, 1216, 5210, 736, 268, 1789, 25802, 5078, 2603, 639, 4552, 289, 644, 338, 267, 4470, 593, 875, 1454, 6079, 12826, 610, 16935, 4904, 609, 1216, 547, 16702, 289, 889, 1076, 2661, 6079, 585, 519, 4110, 269, 1773, 3166, 538, 519, 4055, 267, 2419, 4474, 519, 1216, 7466, 513, 1554, 2073, 272, 2171, 4060, 666, 10351, 3729, 269, 2991, 17708, 1154, 593, 519, 13566, 1747, 1805, 21880, 28517, 1769, 267, 12850, 568, 711, 2139, 1547, 273, 5475, 4374, 540, 5386, 3597, 543, 1332, 273, 349, 274, 21930, 1507, 2603, 639, 6978, 4773, 2073, 547, 581, 607, 1454, 899, 3762, 2073, 5072, 23430, 540, 1106, 666, 1055, 2903, 4586, 19177, 628, 267, 13003, 532, 22534, 2433, 8564, 1608, 9200, 1240, 9492, 349, 1789, 9492, 5591, 645, 18847, 290, 10984, 545, 8768, 17428, 610, 5068, 15368, 514, 2073, 16935, 7132, 14465, 5155, 4677, 3037, 610, 16095, 1510, 3114, 12526, 540, 8933, 543, 22253, 538, 4434, 10521, 4374, 865, 1136, 538, 519, 1216, 2073, 798, 711, 6992, 1125, 1547, 763, 5386, 5072, 950, 13003, 532, 19155, 676, 20769, 639, 883, 519, 16095, 267, 1494, 5522, 5896, 8833, 2073, 1310, 13003, 532, 519, 2179, 540, 1216, 3773, 547, 519, 1216, 1281, 711, 546, 3497, 1507, 299, 582, 639, 5232, 563, 293, 604, 628, 267, 5162, 10048, 1771, 281, 13003, 532, 273, 349, 274, 2171, 4060, 2663, 267, 2390, 10024, 519, 2208, 1974, 2073, 952, 519, 5835, 532, 3762, 4692, 1283, 323, 7675, 22102, 5666, 540, 9436, 2073, 16903, 543, 11379, 7623, 13226, 2073, 32561, 23226, 7829, 6703, 1547, 20769, 639, 5687, 30858, 267, 28624, 1769, 267, 12094, 703, 26985, 291, 1046, 269, 1879, 519, 3544, 2837, 568, 2630, 1626, 2691, 2208, 568, 3500, 267, 519, 3141, 1058, 581, 6410, 547, 519, 8511, 4586, 9202, 296, 786, 2491, 3068, 12630, 2603, 639, 2005, 476, 2336, 5575, 540, 782, 281, 519, 5452, 693, 1312, 7475, 4910, 1828, 4586, 299, 582, 639, 306, 3975, 10359, 568, 1360, 5394, 2073, 538, 1931, 547, 811, 3811, 23286, 2838, 2414, 1118, 513, 2241, 1184, 1547, 3689, 267, 5225, 2995, 30558, 2603, 639, 5452, 292, 2738, 2073, 835, 1439, 972, 568, 513, 1507, 3519, 557, 343, 2073, 6677, 1511, 1439, 568, 513, 1507, 1448, 2073, 547, 4308, 609, 568, 602, 519, 1439, 540, 519, 8486, 454, 10190, 1900, 513, 2370, 2352, 563, 2467, 616, 1082, 6105, 13528, 3121, 29365, 6023, 1439, 2073, 513, 6671, 32325, 2356, 616, 912, 272, 1103, 519, 6405, 6989, 8860, 19423, 1449, 320, 476, 3248, 273, 4415, 642, 1047, 28728, 7745, 476, 3248, 274, 3528, 674, 1263, 299, 2465, 1422, 685, 338, 17180, 2759, 513, 1507, 4062, 540, 14818, 320, 4586, 2791, 666, 849, 1101, 538, 519, 12424, 609, 606, 1659, 331, 16590, 513, 1507, 8559, 538, 519, 1216, 585, 930, 942, 19389, 27001, 1210, 9928, 19538, 2759, 513, 2370, 5488, 1449, 320, 476, 2336, 6826, 6297, 711, 547, 16590, 1932, 2620, 2073, 798, 711, 16590, 883, 519, 3330, 297, 523, 476, 2336, 2419, 4069, 568, 547, 946, 513, 1507, 8325, 17180, 2073, 596, 666, 946, 513, 10626, 17180, 1547, 31598, 2759, 272, 7825, 9625, 476, 273, 7825, 563, 7093, 8619, 1903, 2026, 5205, 10778, 272, 8512, 21871, 6297, 1688, 2073, 798, 711, 3614, 675, 3054, 3248, 273, 267, 4530, 320, 2182, 267, 543, 7444, 2759, 2073, 519, 1101, 1906, 2798, 2791, 666, 2759, 1447, 5432, 1310, 298, 333, 1057, 6192, 476, 3248, 274, 2710, 711, 10413, 519, 3330, 540, 1649, 5271, 565, 775, 4586, 763, 4137, 568, 513, 1434, 4308, 5353, 2644, 563, 21982, 513, 16702, 538, 519, 1216, 2073, 7444, 7996, 2005, 8796, 563, 291, 880, 609, 513, 1507, 4216, 610, 8708, 610, 8726, 519, 14187, 6079, 2921, 513, 16702, 538, 1216, 2126, 4586, 272, 2252, 519, 2837, 568, 1970, 267, 596, 666, 300, 1872, 2073, 1789, 291, 12801, 3636, 1216, 269, 736, 291, 1122, 4181, 1657, 519, 2837, 593, 519, 11255, 11073, 2515, 519, 19389, 666, 581, 563, 273, 267, 21744, 519, 1216, 7466, 513, 1554, 2073, 594, 2356, 4957, 1169, 6640, 543, 10543, 476, 3248, 274, 12850, 2414, 27876, 7021, 6079, 3178, 593, 621, 476, 3248, 275, 267, 4400, 5210, 2073, 17708, 1154, 3728, 269, 4937, 736, 291, 1122, 4181, 610, 811, 267, 274, 291, 904, 547, 513, 3018, 26876, 1588, 4586, 763, 4137, 568, 27653, 519, 5452, 538, 513, 4216, 4586, 26668, 2395, 763, 8206, 17610, 2614, 267, 519, 2370, 5229, 5452, 2366, 454, 25594, 513, 2370, 3787, 2352, 693, 3725, 1783, 454, 2414, 1118, 1732, 4552, 5229, 1586, 538, 519, 6079, 10359, 4931, 17800, 19423, 5858, 563, 5278, 3137, 10778, 272, 3963, 711, 547, 1376, 5969, 621, 286, 3733, 2123, 30342, 568, 602, 1034, 1376, 5969, 2462, 835, 2073, 4667, 547, 6494, 289, 644, 3983, 6902, 1776, 942, 1360, 1449, 320, 26773, 2073, 711, 2759, 4586, 273, 5278, 25210, 2759, 538, 3368, 267, 594, 3622, 798, 711, 2750, 3865, 272, 270, 476, 274, 563, 274, 3963, 711, 2759, 811, 543, 811, 2073, 610, 3274, 4894, 782, 519, 2960, 621, 7790, 296, 798, 711, 917, 305, 1933, 2073, 5970, 711, 6836, 2073, 594, 1745, 621, 568, 711, 2556, 1547, 4841, 945, 616, 5461, 666, 2119, 563, 763, 4605, 568, 2907, 9268, 14187, 6079, 4586, 21652, 548, 1524, 1449, 320, 454, 7212, 519, 6079, 10359, 814, 513, 1360, 2571, 267, 2943, 950, 649, 2759, 3674, 547, 581, 6297, 267, 689, 519, 4786, 2070, 267, 1103, 1249, 267, 519, 2960, 568, 1360, 6094, 4586, 20751, 513, 1554, 267, 713, 568, 519, 6640, 454, 20751, 513, 1554, 267, 621, 568, 519, 12784, 454, 19177, 18818, 1554, 267, 5575, 6978, 313, 28702, 1279, 256, 763, 2034, 4062, 568, 849, 1016, 268, 9212, 621, 3459, 2336, 4456, 517, 2195, 267, 313, 28702, 3459, 13735, 3762, 621, 2336, 22025, 12630, 513, 2603, 540, 4773, 2073, 2663, 547, 581, 1016, 268, 16935, 19315, 256, 3201, 833, 8006, 1839, 30747, 540, 899, 513, 1298, 9014, 17428, 17442, 256, 293, 18017, 1142, 824, 1932, 1454, 267, 1287, 519, 3141, 621, 2336, 5319, 2809, 2937, 2603, 639, 12826, 256, 1432, 2186, 540, 12826, 2603, 639, 24466, 4162, 7790, 1692, 14713, 15017, 289, 25717, 2603, 639, 2073, 849, 1634, 607, 519, 12826, 2603, 639, 267, 2603, 639, 17428, 2073, 26633, 267, 2603, 639, 568, 12630, 538, 513, 12826, 8170, 299, 582, 639, 267, 2966, 585, 11255, 543, 513, 1906, 7515, 936, 16441, 547, 3083, 1518, 519, 2713, 1604, 563, 2252, 519, 12826, 3212, 328, 6931, 16605, 1134, 267, 2186, 540, 2786, 7804, 633, 1152, 276, 23044, 619, 17744, 2073, 4620, 924, 2073, 9058, 11419, 1547, 11088, 6826, 16013, 4364 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1641, 547, 2789, 18063, 540, 8795, 14556, 885, 593, 799, 972, 568, 20541, 1344, 267, 14519, 949, 4782, 547, 9772, 513, 3609, 540, 24787, 776, 9542, 676, 11179, 17265, 519, 5468, 540, 3609, 9072, 538, 519, 3068, 540, 519, 1034, 2487, 1344, 269, 4014, 621, 1131, 1869, 581, 2556, 547, 3442, 1063, 1719, 2557, 610, 2724, 3761, 9072, 693, 1022, 1448, 538, 942, 267, 713, 3903, 1131, 3622, 581, 13564, 10706, 547, 519, 811, 1271, 4305, 540, 4259, 519, 5812, 3077, 2157, 585, 891, 4632, 269, 4935, 267, 1256, 538, 513, 12666, 1242, 1719, 2557, 12512, 267, 519, 8128, 1590, 7683, 3180, 513, 2070, 540, 519, 3617, 1377, 540, 519, 1719, 2557, 543, 11441, 547, 3035, 621, 269, 769, 1840, 267, 3844, 8492, 3622, 3801, 547, 5347, 856, 2110, 3856, 15088, 538, 1719, 3928, 1472, 741, 968, 325, 1495, 4442, 892, 3466, 267, 14356, 547, 2327, 602, 2242, 538, 3466, 616, 711, 25848, 3293, 676, 1554, 3562, 6377, 25359, 269, 6270, 968, 3698, 2400, 892, 13075, 3609, 4238, 948, 547, 3432, 909, 519, 6771, 540, 519, 2360, 540, 13075, 3609, 543, 5512, 5347, 8647, 540, 519, 2883, 6990, 563, 309, 269, 1230, 6984, 3816, 10225, 454, 13828, 538, 2344, 543, 538, 31344, 958, 9709, 11615, 267, 621, 568, 1271, 547, 2057, 1253, 25344, 538, 3448, 5777, 267, 952, 1152, 547, 2327, 519, 19993, 14305, 540, 2200, 269, 1280, 713, 2601, 267, 606, 1719, 2557, 6963, 1058, 581, 513, 5057, 540, 1022, 3609, 10189, 6322, 693, 5355, 519, 2773, 540, 891, 11615, 563, 5575, 267, 621, 1058, 581, 1134, 6956, 602, 2539, 1719, 3928, 786, 711, 1291, 547, 3606, 5092, 8259, 9806, 616, 8521, 5765, 269, 5822, 267, 4397, 1483, 1719, 3928, 1590, 581, 2318, 538, 1931, 547, 2061, 10002, 8793, 11876, 8973, 540, 5370, 610, 519, 14104, 540, 17215, 5667, 895, 3785, 269, 12059, 267, 1719, 3928, 267, 1310, 3850, 585, 5385, 2557, 6788, 267, 1058, 581, 1305, 609, 1813, 7156, 547, 1719, 2557, 1114, 10118, 1471, 268, 14504, 23724, 1158, 2883, 6990, 267, 2921, 883, 2272, 519, 4346, 779, 4110, 540, 22371, 547, 3854, 5322, 269, 19549, 267, 8164, 1857, 5823, 13829, 593, 519, 2883, 6990, 568, 1813, 7361, 547, 16642, 20817, 267, 519, 1425, 6005, 4170, 540, 519, 2229, 7963, 1831, 513, 2101, 588, 22824, 3625, 538, 519, 2619, 540, 1719, 6963, 269, 9314, 12666, 1436, 786, 3976, 723, 547, 979, 1688, 538, 1688, 609, 606, 6454, 538, 519, 2883, 2990, 540, 519, 2229, 269, 8307, 1310, 922, 24228, 4170, 616, 4389, 547, 19242, 2157, 786, 519, 2229, 581, 2111, 547, 4497, 538, 513, 6209, 1719, 2557, 3609, 269, 25004, 267, 538, 31344, 958, 9709, 11615, 267, 607, 1134, 607, 538, 2477, 1141, 519, 1857, 5823, 568, 513, 2101, 10210, 518, 267, 621, 568, 1271, 602, 519, 2229, 3785, 602, 616, 5645, 856, 6556, 630, 25791, 264, 3928, 540, 2132, 602, 9765, 1346, 540, 519, 3785, 630, 1440, 10675, 543, 2229, 264, 602, 616, 15189, 14104, 269, 634, 9819, 540, 4835, 3928, 540, 2132, 585, 1142, 1788, 666, 4217, 14519, 538, 1818, 7787, 5079, 1851, 12721, 3785, 269, 769, 2344, 11615, 267, 519, 13998, 19993, 2557, 1522, 581, 10924, 267, 607, 513, 1101, 19406, 267, 547, 581, 3160, 547, 519, 2557, 602, 519, 2344, 1131, 11884, 3313, 538, 8013, 2175, 269, 634, 2229, 814, 606, 1271, 1909, 538, 5009, 6735, 267, 543, 849, 538, 4180, 602, 922, 14104, 4238, 798, 711, 1253, 677, 2344, 3928, 563, 289, 611, 327, 19441, 288, 2466, 2108, 4002, 519, 19725, 540, 2974, 21874, 9314, 26162, 538, 7982, 1189, 11982, 2223, 23173, 8822, 4750, 540, 13188, 14157, 269, 476, 272, 630, 20103, 3192, 278, 264, 6032, 269, 476, 30130, 1700, 7367, 563, 289, 18847, 2917, 2304, 628, 3415, 10527, 20031, 1756, 585, 11485, 607, 513, 10318, 5364, 540, 9314, 26162, 538, 7201, 16467, 539, 22798, 19791, 2223, 5226, 6621, 569, 4750, 540, 13188, 14157, 269, 476, 6507, 630, 21776, 3422, 274, 264, 6032, 269, 476, 277, 4391, 1700, 5325, 563, 31342, 310, 269, 654, 269, 543, 595, 269, 808, 2529, 656, 18223, 2108, 4462, 9418, 6480, 23660, 540, 519, 7464, 15580, 540, 9314, 2223, 293, 3985, 15944, 7813, 540, 853, 269, 8402, 5623, 14157, 269, 476, 8287, 630, 20464, 2735, 272, 264, 6032, 269, 476, 1240, 1700, 2918, 563, 291, 553, 7666, 24473, 13640, 15925, 8649, 691, 5984, 25938, 543, 15537, 300, 1173, 4802, 21980, 3894, 585, 5741, 16214, 630, 6124, 3840, 281, 2136, 8315, 3192, 273, 1916, 29727, 321, 529, 309, 545, 25366, 2108, 26296, 769, 3410, 27467, 543, 9483, 12618, 538, 10815, 31603, 18831, 281, 589, 11933, 3749, 13979, 2223, 22711, 540, 4886, 5525, 14157, 269, 476, 1724, 630, 20464, 3192, 278, 264, 6032, 269, 476, 6812, 1700, 7761, 563, 17220, 3933, 8767, 8750, 3194, 4972, 19950, 15580, 24727, 538, 519, 15043, 18831, 12769, 553, 1308, 7433, 476, 2420, 630, 29910, 281, 4139, 3933, 8767, 8750, 2735, 274, 1916, 297, 28427, 25537, 582, 1495, 324, 661, 269, 717, 31422, 17445, 15894, 6513, 338, 538, 513, 4886, 12745, 281, 634, 8865, 540, 3979, 18831, 892, 538, 6554, 15894, 2353, 6327, 630, 26596, 12770, 281, 4659, 585, 12634, 5525, 3192, 276, 1916, 11990, 8725, 305, 269, 31550, 543, 744, 9536, 3131, 17954, 330, 330, 2108, 12507, 8767, 6513, 30332, 543, 11038, 21637, 281, 22604, 267, 12983, 267, 543, 10765, 23800, 538, 15043, 18831, 2223, 8379, 293, 11554, 7433, 476, 8660, 270, 4366, 630, 29910, 281, 4139, 3933, 8767, 8750, 2735, 280, 1916, 298, 1002, 16223, 622, 5719, 6511, 2108, 16178, 12983, 538, 519, 13891, 622, 593, 9314, 15580, 24727, 538, 10815, 31603, 18831, 2223, 5226, 6621, 569, 5623, 645, 4545, 320, 9294, 1308, 324, 1642, 700, 2948, 334, 14157, 269, 476, 3451, 630, 18907, 2735, 271, 264, 6032, 269, 476, 13078, 1700, 2641, 563, 298, 1002, 16223, 622, 5719, 6511, 543, 667, 269, 623, 17679, 650, 534, 826, 9366, 2108, 23330, 566, 540, 8564, 633, 15894, 24727, 538, 10815, 31603, 18831, 281, 15742, 11879, 12983, 2223, 13328, 4886, 14157, 269, 476, 277, 630, 20809, 12458, 1872, 755, 3192, 279, 264, 6032, 269, 476, 280, 8064, 1700, 3445, 563, 8867, 924, 306, 2946, 337, 326, 1470, 28828, 4275, 2108, 19950, 15580, 24727, 538, 4639, 4000, 2223, 1805, 3530, 14430, 4139, 3933, 8767, 8750, 14157, 269, 476, 3066, 630, 18550, 2735, 273, 264, 6032, 269, 476, 4366, 1700, 10602, 563, 18250, 298, 4883, 517, 305, 10735, 594, 8160, 2292, 543, 13317, 538, 9483, 4886, 630, 29910, 281, 634, 15588, 902, 26323, 3192, 274, 1916, 4537, 1177, 10955, 1189, 590, 12171, 514, 2574, 12213, 2287, 538, 9483, 4886, 630, 26780, 281, 10228, 2160, 4964, 3192, 274, 1916, 306, 1495, 541, 541, 1690, 534, 309, 31422, 763, 32124, 7232, 638, 640, 22472, 540, 674, 8787, 543, 519, 6356, 4369, 540, 9314, 15580, 8889, 281, 5811, 609, 513, 25674, 7844, 540, 30540, 267, 20971, 267, 543, 12618, 538, 9705, 2223, 1805, 3530, 14430, 4139, 3933, 8767, 8750, 14157, 269, 476, 4097, 630, 18907, 2735, 278, 264, 6032, 269, 476, 18605, 1700, 20542, 563, 307, 11961, 328, 309, 17010, 2108, 14813, 3175, 776, 21673, 725, 267, 9483, 11314, 267, 12525, 525, 267, 543, 9314, 26162, 2223, 13563, 9483, 5623, 14157, 269, 476, 3583, 630, 18550, 2735, 271, 264, 6032, 269, 476, 1321, 1700, 2641, 563, 306, 2946, 337, 326, 1470, 28828, 4275, 2274, 924, 568, 12751, 540, 519, 11038, 30359, 10406, 540, 519, 6239, 30914, 4972, 269, 1261, 568, 513, 10927, 540, 519, 10713, 573, 1228, 798, 6480, 5964, 13005, 2871, 534, 629, 4673, 543, 519, 8592, 22846, 2160, 269, 966, 269, 9530, 541, 541, 1690, 534, 568, 19608, 10615, 540, 519, 6239, 30914, 4972, 269, 1261, 568, 513, 10927, 540, 519, 4095, 18926, 4659, 543, 12370, 2160, 269, 1323, 4505, 4528, 540, 713, 1957, 729, 4843, 693, 519, 595, 4932, 6369, 268, 4488, 290, 289, 12054, 14373, 593, 9314, 15580, 5004, 4371, 538, 853, 269, 14173, 1206, 593, 4728, 476, 2764, 1700, 3066, 267, 476, 2735, 279, 269, 634, 4589, 1131, 899, 547, 9684, 8751, 27222, 7195, 328, 25123, 267, 31550, 3627, 8725, 267, 27692, 918, 14535, 580, 267, 543, 19958, 8845, 585, 741, 8292, 563, 2690, 606, 11840, 566, 540, 891, 2798, 267, 1294, 4139, 3933, 8767, 8750, 630, 2735, 274, 1916, 2414, 519, 6708, 602, 2362, 1719, 3928, 6521, 9806, 689, 5370, 883, 2883, 7405, 267, 519, 2557, 540, 10637, 1131, 632, 5120, 622, 563, 4913, 267, 930, 824, 2197, 10391, 4632, 971, 607, 2797, 1981, 610, 15395, 4170, 949, 849, 1404, 513, 1909, 563, 2690, 513, 4901, 540, 519, 12170, 10083, 540, 713, 4756, 538, 12570, 519, 1764, 540, 1719, 2557, 3609, 267, 1294, 9530, 541, 541, 1690, 534, 630, 2735, 278, 1916, 7197, 1419, 267, 1164, 15395, 543, 5277, 10697, 4170, 602, 616, 711, 18113, 1121, 684, 23306, 3565, 547, 11097, 2287, 519, 3262, 267, 3226, 538, 2053, 540, 1164, 10637, 563, 15675, 633, 5491, 4507, 2832, 693, 26587, 5491, 547, 11280, 9922, 630, 1721, 1383, 267, 6683, 610, 18666, 264, 896, 811, 15028, 2175, 630, 1721, 1383, 267, 2179, 267, 1719, 2557, 264, 982, 789, 1131, 1205, 538, 519, 9000, 540, 971, 4507, 563, 1607, 3340, 602, 1978, 2175, 3489, 267, 12077, 519, 6228, 540, 3501, 6735, 267, 9000, 540, 5007, 885, 543, 2229, 6304, 267, 1134, 15515, 6409, 539, 1981, 14778, 267, 543, 2407, 1344, 563, 2690, 513, 5619, 540, 3384, 2197, 2833, 538, 15268, 971, 2344, 5829, 3609, 7405, 267, 1294, 3627, 8725, 543, 6601, 330, 330, 630, 2735, 280, 1916, 13436, 2042, 949, 1267, 689, 1804, 2242, 538, 5385, 3928, 267, 799, 1419, 13173, 610, 9551, 324, 519, 2883, 15024, 563, 7212, 538, 713, 2013, 519, 2229, 2636, 1719, 3928, 547, 581, 2344, 5462, 267, 621, 1869, 666, 723, 513, 8101, 1764, 593, 891, 3928, 1317, 540, 519, 2450, 540, 922, 14104, 4238, 563, 1103, 713, 3296, 267, 649, 13404, 593, 519, 2360, 540, 2229, 22907, 593, 1719, 3928, 269, 634, 6587, 1198, 568, 849, 4143, 269, 9314, 2557, 5322, 267, 676, 741, 1198, 593, 519, 1942, 540, 7482, 547, 519, 2229, 267, 7369, 519, 2883, 8928, 543, 949, 3196, 9104, 2218, 11941, 538, 21259, 610, 10637, 563, 29209, 16642, 22907, 1131, 1526, 1778, 519, 9165, 540, 1930, 2344, 4238, 676, 4611, 538, 796, 23100, 2406, 1164, 2157, 540, 1719, 3928, 585, 519, 1808, 7963, 7405, 1031, 538, 971, 4238, 269, 901, 568, 2693, 547, 581, 519, 2013, 950, 519, 6469, 7963, 2359, 568, 711, 1134, 2919, 543, 12346, 593, 513, 3908, 2039, 540, 7963, 7405, 269, 4746, 267, 513, 1804, 543, 8375, 4320, 540, 1726, 21204, 7963, 4371, 676, 519, 1875, 1532, 1678, 5823, 1223, 581, 2404, 609, 1713, 18839, 2476, 689, 4871, 12074, 267, 609, 4539, 585, 3747, 585, 15395, 2724, 543, 585, 519, 1377, 543, 2497, 540, 1719, 3928, 563, 763, 1514, 2557, 540, 2132, 949, 8428, 689, 519, 2557, 540, 2132, 602, 513, 4357, 20090, 1522, 14487, 547, 513, 1788, 269, 1280, 519, 1514, 2557, 540, 2132, 267, 782, 519, 2640, 543, 3790, 540, 519, 3785, 616, 17223, 267, 1256, 1346, 602, 798, 711, 934, 4902, 547, 519, 8227, 540, 519, 1788, 269, 0, 30531, 8314, 949, 3100, 7294, 693, 1101, 267, 855, 568, 2965, 1360, 2241, 547, 946, 269, 1306, 1279, 607, 519, 3593, 568, 6297, 538, 17516, 741, 3059, 23129, 543, 3096, 519, 1062, 7157, 267, 11670, 666, 581, 513, 1360, 2241, 1259, 547, 6494, 543, 4309, 7482, 269, 2755, 519, 1101, 2856, 540, 15170, 971, 607, 713, 729, 4330, 676, 1284, 328, 667, 2967, 538, 476, 1960, 279, 267, 519, 1101, 1483, 18634, 267, 11670, 267, 729, 2813, 676, 9045, 25493, 26981, 600, 9369, 267, 513, 2012, 1031, 676, 2576, 4171, 1483, 3961, 568, 1869, 7164, 2094, 1101, 13629, 519, 1957, 267, 2485, 368, 21485, 30531, 8314, 281, 589, 25398, 3562, 6261, 17621, 18329, 22418, 3590, 21485, 21485, 267, 593, 5239, 476, 4029, 267, 476, 1220, 279, 547, 513, 25563, 544, 9430, 1592, 269, 11670, 729, 1101, 2965, 8045, 538, 5130, 540, 476, 1220, 280, 269, 898, 729, 5950, 607, 606, 1930, 21299, 3009, 267, 543, 4896, 1223, 1711, 741, 1378, 4528, 540, 15170, 1210, 713, 1344, 269, 9045, 25493, 26981, 600, 9369, 22283, 1524, 538, 476, 1001, 271, 267, 543, 717, 822, 514, 1656, 637, 523, 3576, 936, 519, 12081, 338, 269, 1656, 637, 523, 1287, 5249, 547, 2327, 602, 11670, 729, 4625, 18228, 267, 2495, 602, 1100, 2582, 11769, 814, 1852, 936, 519, 1062, 269, 1656, 637, 523, 1767 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12835, 267, 2119, 14467, 538, 519, 2539, 1318, 7944, 540, 519, 12835, 563, 3725, 23728, 776, 2782, 16672, 540, 1473, 788, 523, 269, 667, 775, 772, 269, 590, 269, 9139, 9291, 540, 7126, 476, 1911, 476, 1911, 476, 1911, 476, 1220, 476, 1220, 476, 1220, 476, 4968, 476, 4968, 476, 4968, 476, 6110, 476, 6110, 476, 6110, 476, 4335, 476, 4335, 476, 4335, 15642, 629, 983, 586, 454, 8624, 517, 1235, 1185, 547, 4444, 513, 3703, 16826, 585, 1169, 4062, 540, 9102, 1957, 267, 971, 607, 4730, 6486, 267, 14786, 543, 27121, 563, 1432, 729, 519, 853, 2086, 12525, 630, 8002, 21663, 476, 1911, 454, 8624, 517, 1235, 21039, 909, 899, 12075, 267, 6172, 5523, 593, 513, 6928, 538, 519, 11785, 22426, 267, 543, 28520, 2296, 7401, 883, 519, 5836, 563, 1432, 729, 519, 11785, 21281, 9549, 286, 476, 1220, 454, 3891, 3323, 519, 25860, 540, 23068, 267, 5280, 1786, 342, 909, 519, 11785, 21281, 9549, 267, 543, 5206, 5022, 547, 519, 8758, 21164, 540, 4856, 22046, 775, 2516, 538, 824, 10125, 563, 8005, 729, 15656, 17566, 286, 476, 4968, 454, 1607, 1977, 11802, 2968, 513, 7432, 1448, 538, 519, 21829, 2782, 563, 1432, 729, 519, 11135, 540, 7203, 520, 7541, 286, 476, 6110, 454, 3891, 729, 519, 3703, 2489, 945, 1147, 16781, 1229, 547, 4937, 6723, 6115, 693, 3840, 26165, 267, 9098, 267, 10678, 519, 21829, 2782, 563, 8005, 729, 12397, 13665, 529, 286, 476, 4335, 454, 1607, 812, 5206, 519, 16672, 540, 14412, 563, 8005, 729, 7338, 16962, 286, 476, 1911, 454, 6097, 547, 519, 16672, 540, 14412, 267, 782, 1004, 723, 1044, 2016, 891, 1614, 2596, 2924, 676, 741, 29763, 563, 1432, 568, 1272, 267, 15698, 543, 519, 13287, 540, 8788, 286, 476, 1220, 454, 763, 16672, 540, 14412, 729, 9896, 676, 519, 2367, 945, 13984, 713, 6837, 563, 1432, 729, 519, 5822, 25550, 6837, 286, 476, 4968, 454, 3891, 729, 519, 7022, 540, 519, 6837, 602, 9896, 519, 16672, 540, 14412, 563, 8005, 729, 3627, 670, 4545, 1442, 286, 476, 6110, 454, 6097, 547, 519, 16672, 540, 14412, 267, 782, 1318, 995, 6608, 1590, 723, 713, 269, 1403, 6608, 1810, 1406, 723, 713, 267, 1287, 1004, 723, 513, 10279, 547, 12235, 1055, 971, 513, 2229, 563, 1432, 568, 519, 968, 4621, 550, 540, 519, 18170, 892, 286, 476, 4335, 454, 1607, 25799, 1544, 1572, 585, 1614, 8371, 540, 2229, 543, 1079, 15424, 8075, 269, 2276, 1131, 6494, 13222, 547, 1142, 540, 891, 15424, 8075, 1759, 593, 519, 2829, 685, 2551, 563, 1432, 729, 519, 9098, 4643, 286, 30250, 476, 1220, 1535, 476, 273, 454, 1607, 3561, 1572, 585, 1447, 1379, 585, 519, 2829, 543, 811, 1379, 585, 519, 3844, 2229, 563, 1432, 729, 519, 9139, 286, 476, 1911, 454, 1607, 3561, 1572, 585, 513, 4617, 3844, 2229, 543, 2178, 2829, 563, 1432, 941, 519, 15080, 540, 32700, 286, 476, 1220, 454, 1607, 2262, 1797, 547, 29343, 563, 1432, 568, 3731, 2305, 286, 30250, 476, 1911, 1535, 476, 273, 454, 4322, 1614, 8371, 540, 2229, 941, 3964, 676, 519, 9139, 865, 789, 1223, 2638, 543, 3666, 1142, 824, 563, 1432, 616, 519, 10324, 267, 15424, 543, 16324, 8371, 286, 476, 4968, 454, 1607, 14207, 4847, 2829, 547, 1293, 930, 540, 741, 10437, 607, 851, 540, 519, 1533, 779, 2551, 563, 1432, 729, 519, 476, 274, 270, 276, 779, 3281, 668, 1047, 286, 476, 6110, 454, 305, 690, 518, 15593, 2006, 3357, 909, 609, 513, 1544, 10912, 585, 513, 2539, 2777, 609, 13222, 1759, 593, 513, 1533, 779, 2551, 267, 543, 606, 5580, 2777, 16922, 540, 1079, 6845, 2209, 689, 1142, 1533, 267, 1100, 2339, 922, 2551, 563, 1432, 729, 519, 4279, 3281, 668, 1047, 286, 476, 4335, 454, 4322, 2968, 1634, 607, 519, 9291, 540, 7126, 563, 1432, 941, 519, 476, 272, 588, 476, 1015, 2549, 754, 906, 286, 476, 1911, 454, 1607, 1895, 540, 1004, 5433, 519, 9139, 4769, 1406, 991, 513, 9291, 540, 7126, 3773, 547, 621, 563, 8005, 941, 519, 8549, 1235, 286, 476, 1220, 454, 3891, 5206, 519, 9291, 540, 7126, 563, 8005, 729, 6276, 23885, 286, 476, 4968, 454, 1607, 14821, 18715, 1367, 23118, 267, 1519, 5191, 540, 4984, 267, 5191, 540, 4633, 267, 543, 5191, 540, 519, 2046, 563, 1432, 568, 519, 476, 272, 588, 14821, 286, 476, 6110, 454, 1607, 14821, 1028, 999, 602, 519, 1379, 540, 519, 3084, 2229, 786, 581, 3908, 563, 1432, 568, 519, 570, 5460, 14821, 286, 476, 4335, 454, 1607, 2262, 1797, 602, 1945, 568, 711, 15868, 676, 519, 9139, 563, 1432, 1281, 968, 684, 6247, 6627, 892, 1611, 286, 476, 1220, 454, 1607, 1797, 513, 1062, 538, 799, 1142, 7936, 540, 2229, 666, 3970, 519, 824, 563, 1432, 616, 11974, 543, 21356, 286, 476, 4968, 454, 1607, 1797, 547, 2307, 513, 2362, 5480, 547, 2689, 513, 3375, 563, 1432, 568, 606, 968, 1952, 7002, 892, 286, 476, 6110, 454, 1607, 1797, 547, 3142, 909, 10997, 540, 4636, 4777, 532, 563, 1432, 568, 30664, 16670, 286, 476, 4335, 0, 7804, 269, 18044, 11828, 875, 10194, 4452, 666, 1689, 543, 1946, 621, 779, 1271, 547, 1832, 2921, 707, 7486, 1199, 338, 563, 29309, 532, 13066, 540, 1884, 790, 339, 22201, 597, 1023, 630, 2752, 26394, 264, 1107, 519, 6527, 1031, 547, 1521, 7486, 1107, 666, 2014, 519, 3644, 547, 4473, 547, 3713, 762, 2157, 269, 901, 949, 1267, 538, 519, 3644, 4742, 11259, 547, 513, 1880, 7486, 2126, 267, 7654, 1818, 602, 2126, 711, 960, 607, 1134, 267, 1519, 4227, 519, 23833, 2640, 563, 2252, 513, 1880, 2126, 13515, 2324, 1134, 585, 606, 1367, 609, 7486, 267, 513, 2564, 8502, 666, 4137, 856, 606, 14595, 2126, 1544, 540, 519, 1082, 824, 8121, 26394, 2139, 2221, 563, 258, 16485, 763, 295, 4353, 291, 665, 568, 513, 3381, 3126, 689, 20523, 20537, 15978, 10023, 1283, 7486, 7189, 3246, 4267, 547, 4122, 268, 24216, 2055, 827, 7486, 6604, 267, 4152, 543, 2126, 563, 763, 1344, 543, 7044, 3177, 593, 713, 3135, 616, 585, 3872, 5301, 543, 711, 513, 12990, 585, 3318, 2564, 5796, 269, 11408, 5077, 707, 3782, 8502, 1354, 1818, 1022, 3782, 3664, 610, 585, 5583, 827, 513, 1808, 2564, 2783, 563, 4407, 649, 1118, 1169, 4674, 547, 1832, 519, 2564, 1344, 593, 938, 3896, 8242, 267, 649, 3112, 10018, 602, 519, 1344, 9356, 519, 1034, 909, 3562, 15082, 1382, 269, 4746, 267, 5225, 4063, 519, 5784, 6829, 676, 2043, 945, 2408, 538, 20523, 20537, 15978, 7044, 543, 824, 1543, 616, 741, 1378, 543, 616, 711, 1500, 593, 15773, 540, 1022, 2516, 5924, 1146, 3074, 270, 817, 1539, 725, 269, 0, 15648, 9736, 4354, 6685, 9012, 5549, 563, 288, 8360, 568, 513, 1895, 540, 1913, 4122, 1031, 1927, 630, 324, 3052, 2899, 2390, 513, 942, 1916, 272, 269, 630, 4310, 547, 2232, 835, 1268, 994, 320, 269, 751, 678, 6403, 525, 454, 288, 2262, 540, 8360, 1031, 547, 3277, 547, 519, 2034, 1268, 13016, 968, 339, 14243, 892, 676, 741, 17788, 566, 610, 22466, 2796, 630, 324, 3052, 269, 1215, 616, 596, 286, 1916, 2791, 14902, 1256, 950, 1250, 24668, 5749, 1405, 1434, 269, 5938, 678, 6403, 525, 538, 1816, 334, 24140, 18372, 3765, 669, 626, 525, 1100, 5067, 1207, 523, 657, 563, 321, 269, 694, 678, 6403, 324, 454, 288, 2262, 610, 8360, 1031, 547, 3277, 547, 519, 2034, 1268, 6101, 968, 755, 539, 892, 676, 741, 17788, 566, 610, 22466, 2796, 630, 324, 3052, 269, 579, 23264, 1916, 2791, 14902, 513, 2603, 543, 616, 513, 28292, 1268, 2529, 324, 678, 6403, 324, 1454, 334, 586, 1965, 19448, 1268, 320, 513, 5586, 516, 563, 273, 269, 630, 4310, 547, 2232, 2789, 1004, 994, 295, 1478, 593, 513, 22739, 547, 1451, 1007, 1913, 609, 519, 1482, 3597, 563, 299, 1933, 532, 2262, 3029, 454, 9558, 17218, 596, 14902, 1210, 3684, 6037, 2209, 8450, 10724, 25927, 725, 454, 23763, 547, 6258, 5053, 888, 28049, 1565, 585, 3025, 269, 1280, 1863, 563, 763, 1158, 779, 4102, 5053, 8675, 454, 3519, 24503, 725, 585, 1169, 5053, 8231, 454, 9596, 6863, 5488, 454, 9596, 1169, 4341, 543, 9868, 454, 30943, 6741, 6033, 3381, 5731, 9629, 725, 454, 17504, 540, 519, 4303, 454, 5970, 596, 6836, 621, 2943, 286, 3371, 781, 1018, 781, 3769, 912, 9596, 22356, 593, 25515, 454, 9596, 5053, 5488, 0, 763, 5767, 538, 519, 1007, 3126, 540, 17948, 2200, 6322, 693, 21528, 3610, 609, 519, 6765, 540, 519, 654, 297, 4488, 27582, 706, 336, 553, 589, 7400, 6355, 20487, 855, 568, 5078, 585, 782, 12545, 269, 1452, 15942, 543, 1688, 856, 616, 2966, 547, 1489, 519, 6765, 540, 519, 3281, 9426, 8422, 1888, 540, 3486, 4123, 269, 589, 7990, 995, 267, 2143, 543, 3015, 4199, 602, 568, 3358, 547, 5870, 519, 4081, 7569, 540, 1034, 589, 5426, 16551, 269, 1358, 2015, 519, 3483, 543, 2470, 540, 3486, 4123, 267, 3168, 693, 2027, 5314, 267, 13354, 5413, 267, 1863, 4123, 267, 4123, 1025, 665, 338, 267, 4027, 1143, 630, 10175, 9889, 553, 543, 29388, 1070, 543, 875, 5177, 10909, 666, 3343, 856, 1007, 3486, 6990, 543, 519, 7965, 789, 3068, 538, 3257, 865, 269, 634, 15942, 2270, 519, 16797, 9605, 12866, 2055, 543, 849, 513, 2259, 1557, 630, 18485, 609, 6700, 3435, 1040, 769, 1840, 547, 519, 1292, 17948, 513, 7300, 5299, 540, 519, 4967, 814, 1044, 3177, 547, 4217, 609, 20194, 1688, 16080, 563, 288, 1007, 4116, 17948, 3126, 2966, 547, 948, 3610, 609, 519, 6765, 540, 519, 1007, 589, 304, 288, 13188, 589, 5426, 20487, 269, 634, 17948, 338, 4983, 4295, 2035, 540, 519, 1576, 538, 606, 2502, 1259, 2966, 547, 948, 1053, 1732, 1174, 519, 1570, 269, 634, 15942, 6451, 519, 16797, 9605, 12866, 2055, 543, 849, 930, 6662, 1449, 2055, 547, 2708, 2875, 1565, 269, 901, 17948, 15109, 2698, 543, 8589, 10626, 543, 7787, 7082, 7180, 269, 898, 1287, 5654, 693, 519, 1523, 540, 519, 14345, 543, 12623, 13240, 1344, 1519, 589, 12027, 331, 1993, 779, 19748, 517, 20232, 269, 901, 3640, 2882, 513, 1305, 540, 2875, 14469, 4967, 547, 4217, 609, 519, 6765, 540, 519, 1570, 563, 2304, 3573, 4199, 3640, 540, 23722, 267, 6789, 543, 589, 5426, 14469, 4967, 543, 1489, 2326, 269, 1703, 568, 15069, 930, 936, 22272, 607, 891, 2326, 849, 1331, 519, 4587, 2200, 585, 519, 9371, 589, 5426, 855, 1082, 12545, 1869, 1118, 946, 540, 891, 2326, 269, 634, 23722, 24502, 1683, 5583, 585, 10453, 945, 1522, 581, 10010, 609, 519, 811, 10230, 3344, 540, 519, 1576, 543, 789, 723, 1419, 8810, 3730, 607, 700, 306, 2326, 693, 513, 2362, 1377, 269, 634, 3640, 849, 2882, 513, 7008, 540, 14469, 24502, 5059, 2390, 2883, 12753, 543, 5092, 813, 26150, 799, 589, 5426, 10453, 1058, 1265, 1360, 3730, 269, 1358, 849, 2097, 609, 4267, 543, 14469, 2247, 7851, 269, 15788, 267, 513, 1360, 1434, 1871, 3640, 585, 3610, 543, 10453, 7567, 563, 763, 5767, 538, 519, 1007, 3126, 540, 17948, 2200, 6322, 693, 21528, 3610, 609, 519, 6765, 540, 519, 654, 297, 4488, 27582, 706, 336, 553, 589, 7400, 6355, 20487, 855, 568, 5078, 585, 782, 12545, 269, 1452, 15942, 543, 1688, 856, 616, 2966, 547, 1489, 519, 6765, 540, 519, 3281, 9426, 8422, 1888, 540, 2518, 5314, 269, 589, 7990, 995, 267, 2143, 543, 3015, 4199, 602, 568, 3358, 547, 5870, 519, 4081, 7569, 540, 1034, 589, 5426, 16551, 269, 1358, 2015, 2470, 540, 2518, 5314, 543, 2518, 6990, 267, 543, 1413, 693, 741, 1764, 2390, 3384, 270, 655, 1120, 532, 11615, 269, 634, 6881, 1287, 15109, 2344, 632, 28832, 267, 519, 4950, 267, 4824, 10618, 543, 14949, 6283, 607, 7700, 4128, 585, 519, 4473, 540, 2518, 5314, 1282, 519, 2250, 1906, 5756, 269, 898, 1287, 15109, 519, 1909, 540, 519, 654, 15674, 543, 12116, 2518, 32107, 267, 875, 10909, 3077, 1007, 6990, 543, 519, 1764, 540, 1350, 5914, 5314, 267, 1354, 10442, 519, 2949, 2360, 540, 2518, 5314, 2390, 519, 5177, 4346, 543, 4213, 269, 898, 6368, 15109, 519, 4128, 585, 519, 1646, 540, 631, 10998, 338, 543, 519, 2640, 543, 19363, 540, 29505, 14078, 585, 3984, 6082, 269, 634, 15942, 2270, 519, 16797, 9605, 12866, 2055, 543, 849, 513, 2259, 1557, 630, 18485, 609, 6700, 3435, 1040, 769, 1840, 547, 519, 1292, 17948, 513, 7300, 5299, 540, 519, 4967, 814, 1044, 3177, 547, 4217, 609, 20194, 1688, 16080, 563, 763, 5767, 538, 519, 3126, 540, 1565, 1489, 2326, 6322, 693, 1053, 540, 23722, 6355, 5525, 269, 901, 1770, 5654, 693, 519, 1858, 540, 12313, 4432, 2880 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7831, 29567, 281, 476, 278, 628, 5988, 267, 476, 1708, 271, 1477, 258, 6859, 6769, 258, 19930, 1775, 264, 476, 4804, 547, 2721, 1585, 2010, 540, 11708, 1477, 258, 16875, 13797, 264, 476, 16448, 531, 13602, 1210, 3032, 7120, 1477, 258, 1363, 25831, 264, 476, 20556, 13602, 1210, 882, 7120, 1477, 258, 16875, 13797, 264, 4804, 547, 946, 26026, 1941, 1477, 258, 6153, 4704, 281, 4179, 2517, 572, 629, 1941, 4877, 11770, 1092, 3820, 270, 842, 3174, 11258, 5897, 258, 476, 272, 269, 271, 11910, 8021, 1477, 260, 637, 564, 910, 325, 1477, 258, 476, 272, 269, 272, 1280, 1239, 6354, 2827, 1477, 5814, 11885, 607, 5286, 1477, 5814, 21795, 607, 19073, 1477, 258, 476, 272, 269, 273, 1280, 28321, 1477, 5814, 21267, 28272, 607, 12301, 1477, 5814, 21267, 1477, 5814, 21267, 607, 544, 680, 672, 1948, 1280, 2870, 897, 768, 2355, 1477, 5814, 26026, 1941, 607, 521, 985, 1477, 258, 476, 272, 269, 274, 1280, 1239, 4393, 1477, 5228, 28189, 269, 2181, 30112, 1104, 9208, 306, 5632, 518, 607, 521, 338, 1477, 258, 476, 272, 269, 275, 13013, 1644, 1477, 5814, 15259, 5897, 258, 476, 272, 269, 276, 3619, 547, 17835, 5627, 1239, 3758, 1477, 258, 657, 26716, 323, 597, 2891, 291, 281, 11138, 11907, 11138, 3080, 7804, 633, 11138, 291, 665, 3701, 11138, 30541, 2358, 257, 10142, 657, 26716, 323, 597, 2891, 291, 281, 11138, 23911, 11138, 21196, 276, 14744, 657, 269, 4289, 323, 597, 3890, 2018, 1948, 5903, 782, 6119, 538, 519, 17835, 5897, 258, 476, 272, 269, 277, 3367, 3758, 543, 1247, 2542, 3758, 267, 1477, 258, 8587, 6460, 1412, 20755, 652, 2086, 262, 547, 30220, 942, 1477, 611, 815, 19073, 18667, 32269, 2891, 30541, 2358, 269, 32502, 2580, 1477, 4449, 476, 1612, 572, 5091, 919, 815, 18358, 20755, 652, 2086, 11172, 825, 1948, 1965, 2133, 585, 4266, 16163, 532, 1477, 4449, 476, 476, 10142, 258, 476, 272, 269, 278, 6744, 1239, 2010, 540, 10305, 1477, 611, 6155, 18196, 1477, 335, 323, 15630, 318, 641, 5406, 3488, 5891, 27982, 22674, 8435, 3299, 476, 4335, 3418, 258, 476, 272, 269, 279, 2368, 811, 10471, 1644, 1344, 1477, 611, 23584, 263, 274, 3418, 611, 29335, 3890, 25639, 1948, 4746, 28279, 875, 1454, 3965, 10471, 3217, 1477, 13376, 1948, 567, 543, 4567, 540, 14275, 338, 1477, 611, 17482, 3546, 1948, 630, 1911, 271, 267, 476, 1015, 3418, 611, 31815, 8435, 269, 11161, 1477, 6352, 263, 611, 31815, 8435, 264, 1363, 1948, 476, 1015, 10305, 5897, 258, 476, 272, 269, 280, 595, 1538, 5566, 1239, 1871, 12523, 1477, 258, 672, 2107, 1297, 540, 2157, 829, 7121, 1477, 6352, 263, 611, 5861, 640, 26509, 1664, 28829, 4449, 567, 1948, 476, 280, 7597, 4872, 856, 540, 476, 1911, 271, 1477, 611, 5861, 640, 27841, 18045, 338, 31476, 258, 476, 272, 269, 280, 269, 272, 1215, 1082, 598, 583, 1845, 1477, 6352, 263, 611, 5861, 870, 787, 26509, 1664, 28829, 3546, 1948, 476, 26801, 2477, 1477, 611, 5861, 870, 787, 27841, 18045, 338, 3890, 25639, 1948, 4107, 569, 476, 273, 829, 2197, 5897, 258, 476, 272, 269, 280, 269, 273, 17392, 540, 4008, 1477, 611, 8160, 1446, 27841, 18045, 338, 3890, 4449, 476, 1948, 476, 31982, 281, 4366, 272, 5897, 258, 476, 272, 269, 280, 269, 274, 17392, 540, 30390, 1477, 611, 9131, 12812, 539, 593, 1520, 262, 4940, 7407, 18045, 338, 3890, 8587, 1948, 476, 272, 543, 476, 271, 538, 519, 5223, 540, 476, 4335, 281, 4335, 1477, 4449, 13376, 1948, 901, 568, 3810, 23904, 269, 2637, 337, 958, 30390, 949, 581, 476, 272, 260, 5897, 10310, 5992, 7462, 1477, 258, 476, 273, 269, 271, 8073, 2934, 1477, 10310, 5992, 7462, 1477, 258, 476, 273, 269, 272, 2677, 4038, 1047, 2585, 657, 9587, 1477, 258, 672, 1452, 616, 3160, 8700, 25510, 607, 1996, 1477, 258, 672, 3160, 1239, 15304, 338, 25510, 630, 31642, 850, 264, 610, 737, 1889, 753, 13421, 1477, 258, 672, 17968, 946, 22995, 1231, 11514, 4038, 6500, 540, 28189, 1477, 611, 14277, 720, 6831, 520, 19312, 815, 19073, 6983, 583, 263, 1477, 4449, 11434, 740, 9131, 21848, 28710, 1477, 4449, 11434, 25510, 815, 476, 274, 267, 1477, 4449, 11434, 10297, 284, 22373, 344, 2580, 834, 332, 2580, 834, 338, 257, 15947, 4449, 8587, 476, 10142, 611, 14277, 19327, 18425, 2492, 6831, 520, 19312, 815, 19073, 6983, 583, 263, 1477, 4449, 25639, 740, 9131, 22704, 20677, 28710, 1477, 4449, 25639, 25510, 815, 476, 274, 267, 1477, 4449, 25639, 10297, 284, 22373, 331, 2580, 834, 332, 2580, 834, 327, 257, 15947, 4449, 25639, 476, 10142, 258, 476, 273, 269, 273, 8073, 513, 1007, 6241, 607, 829, 3259, 540, 1142, 740, 11060, 1477, 611, 9131, 3849, 307, 8084, 18118, 21920, 11172, 815, 740, 9131, 3849, 13445, 7412, 262, 4940, 1952, 569, 10857, 10033, 1535, 2433, 7003, 3287, 264, 10142, 258, 476, 273, 269, 274, 8073, 513, 1007, 6241, 607, 829, 1297, 540, 1913, 538, 1142, 740, 11060, 1477, 258, 8347, 834, 16591, 7911, 2668, 20889, 2891, 834, 264, 476, 543, 7003, 2891, 16591, 7911, 21858, 2891, 834, 17903, 257, 16591, 7911, 2668, 20889, 2891, 834, 264, 17264, 1948, 18358, 16591, 3299, 1412, 24742, 11172, 1477, 6352, 2891, 16591, 7911, 2668, 20889, 2891, 834, 4297, 1038, 1948, 476, 273, 24653, 258, 476, 273, 269, 274, 269, 272, 8074, 519, 946, 540, 4019, 14061, 901, 4019, 3890, 1568, 593, 2347, 10022, 1477, 258, 11434, 547, 2981, 621, 2864, 982, 547, 9034, 1047, 621, 607, 538, 1895, 2421, 23228, 611, 9131, 3849, 307, 8084, 5591, 8170, 24552, 11172, 815, 740, 9131, 3849, 13445, 7412, 262, 4940, 1952, 569, 10857, 10033, 1535, 2433, 7003, 3287, 21858, 2891, 834, 30727, 567, 1948, 8074, 519, 946, 540, 4019, 14052, 14030, 14030, 4449, 567, 1948, 901, 4019, 1568, 593, 2347, 10022, 24653, 258, 476, 273, 269, 275, 589, 6241, 602, 814, 1293, 323, 540, 4975, 543, 1477, 258, 11434, 1776, 6241, 609, 1293, 540, 13474, 9587, 1477, 258, 11434, 8074, 519, 946, 540, 2981, 1505, 1934, 1477, 16766, 539, 815, 740, 3052, 4981, 2421, 8443, 262, 30949, 11172, 3418, 611, 9131, 30949, 18045, 11172, 815, 19882, 9131, 30949, 262, 4940, 10520, 845, 3488, 12248, 10807, 567, 1948, 1293, 568, 513, 1895, 2421, 1505, 5897, 258, 476, 273, 269, 275, 269, 272, 23893, 1259, 585, 2197, 1477, 16766, 539, 815, 740, 3052, 4981, 2421, 8443, 262, 15575, 787, 11172, 3418, 611, 9131, 15575, 787, 18045, 11172, 815, 19882, 9131, 15575, 787, 262, 4940, 10520, 845, 3488, 12248, 10807, 567, 1948, 1293, 568, 513, 1895, 2421, 1505, 24653, 258, 476, 273, 269, 276, 6987, 847, 4266, 3334, 1210, 10022, 6155, 339, 1569, 528, 1477, 258, 672, 4179, 2517, 335, 663, 553, 4877, 11770, 1092, 3820, 9706, 663, 553, 1673, 665, 338, 23995, 762, 270, 10915, 2397, 4882, 7685, 11258, 258, 777, 328, 1606, 7685, 1673, 339, 1477, 258, 672, 4179, 2517, 335, 663, 553, 4877, 11770, 1092, 3820, 9706, 663, 553, 1673, 665, 338, 23995, 762, 270, 10915, 2397, 4882, 7685, 11258, 258, 323, 520, 8135, 3491, 704, 2906, 5897, 258, 476, 273, 269, 277, 1548, 568, 519, 1826, 540, 1412, 19049, 262, 1477, 6943, 263, 611, 9131, 20755, 652, 2086, 262, 4940, 19049, 264, 825, 1948, 7457, 528, 899, 1205, 14052, 23351, 1948, 21795, 6983, 648, 28827, 525, 269, 17739, 832, 6185, 520, 8135, 19187, 2906, 5897, 258, 476, 273, 269, 278, 6987, 847, 5662, 267, 3018, 1485, 543, 3923, 1477, 611, 9131, 327, 712, 11172, 825, 815, 740, 9131, 20755, 652, 2086, 262, 4940, 19049, 19544, 712, 1477, 611, 9131, 15553, 1485, 11172, 815, 740, 9131, 20755, 652, 2086, 262, 4940, 19049, 269, 15553, 1485, 1477, 611, 9131, 638, 6621, 11172, 815, 740, 9131, 20755, 652, 2086, 262, 4940, 19049, 269, 24629, 8587, 1948, 3689, 649, 1205, 3923, 269, 3973, 649, 4786, 3923, 547, 10116, 1477, 14030, 23526, 1948, 567, 6423, 2630, 5897, 258, 476, 273, 269, 279, 17992, 5662, 547, 6640, 267, 10543, 267, 3781, 3092, 1477, 258, 672, 1284, 946, 9981, 607, 2157, 1477, 258, 14474, 281, 740, 7456, 665, 314, 283, 935, 1288, 285, 267, 4183, 11243, 316, 815, 1007, 19056, 1477, 611, 7456, 665, 27007, 611, 9131, 327, 712, 11172, 3436, 476, 271, 3738, 1299, 630, 611, 9131, 327, 712, 11172, 10922, 476, 277, 1070, 476, 1412, 327, 712, 262, 9948, 815, 476, 271, 8587, 1948, 7216, 6640, 1477, 611, 7456, 665, 27007, 611, 9131, 327, 712, 11172, 3436, 476, 277, 264, 1299, 630, 611, 9131, 327, 712, 11172, 10922, 476, 1321, 1070, 476, 1412, 327, 712, 262, 9948, 815, 476, 272, 8587, 1948, 27450, 1477, 611, 7456, 665, 27007, 611, 9131, 327, 712, 11172, 3436, 1321, 3738, 1299, 630, 611, 9131, 327, 712, 11172, 10922, 476, 1704, 1070, 1412, 327, 712, 262, 9948, 815, 476, 273, 8587, 1948, 2991, 12158, 1477, 611, 7456, 665, 27007, 611, 9131, 327, 712, 11172, 3436, 1704, 3738, 1299, 630, 611, 9131, 327, 712, 11172, 10922, 476, 736, 1070, 1412, 327, 712, 262, 9948, 815, 476, 274, 672, 1948, 4634, 532, 1477, 611, 7456, 665, 27007, 611, 9131, 327, 712, 11172, 3436, 736, 3738, 1299, 630, 611, 9131, 327, 712, 11172, 10922, 476, 2420, 1070, 1412, 327, 712, 262, 9948, 815, 476, 275, 672, 1948, 13957, 1477, 611, 7456, 665, 27007, 611, 9131, 327, 712, 11172, 3436, 2420, 3738, 1299, 630, 611, 9131, 327, 712, 11172, 10922, 476, 2190, 1070, 1412, 327, 712, 262, 9948, 815, 476, 276, 672, 1948, 17623, 13957, 5897, 611, 9131, 327, 712, 262, 4940, 3650, 31476, 258, 476, 273, 269, 280, 17992, 8870, 2157, 547, 741, 2953, 1477, 258, 8587, 9757, 4408, 1477, 258, 672, 16393, 723, 1044, 2944, 1454, 3362, 1210, 10022, 6230, 777, 14052, 258, 672, 6423, 2630, 1477, 611, 9131, 327, 712, 11172, 815, 740, 9131, 327, 712, 262, 4940, 770, 4286, 3488, 15953, 20298, 611, 6155, 18196, 7456, 665, 9131, 327, 712, 11172, 1363, 1948, 6744, 546, 6943, 540, 713, 6241, 5897, 611, 7456, 665, 314, 611, 9131, 327, 712, 11172, 2652, 476, 271, 267, 1412, 327, 712, 11172, 815, 834, 22022, 332, 528, 940, 29177, 611, 7456, 665, 314, 611, 9131, 327, 712, 11172, 2652, 476, 272, 267, 1412, 327, 712, 11172, 815, 834, 332, 528, 940, 29177, 611, 7456, 665, 314, 611, 9131, 327, 712, 11172, 2652, 476, 273, 267, 1412, 327, 712, 11172, 815, 834, 12898, 12158, 29177, 611, 7456, 665, 314, 611, 9131, 327, 712, 11172, 2652, 476, 274, 267, 1412, 327, 712, 11172, 815, 834, 16838, 532, 29177, 611, 7456, 665, 314, 611, 9131, 327, 712, 11172, 2652, 476, 275, 267, 1412, 327, 712, 11172, 815, 834, 9519, 29177, 611, 7456, 665, 314, 611, 9131, 327, 712, 11172, 2652, 476, 275, 267, 1412, 327, 712, 11172, 815, 834, 9519, 29177, 611, 7456, 665, 314, 611, 9131, 327, 712, 11172, 2652, 476, 276, 267, 1412, 327, 712, 11172, 815, 834, 331, 22760, 697, 257, 5897, 611, 9131, 5503, 8170, 21196, 11172, 815, 19073, 6983, 583, 263, 611, 9131, 327, 712, 28710, 321, 1231, 284, 15631, 272, 267, 277, 267, 1321, 267, 1704, 267, 736, 267, 2420, 267, 2190, 3910, 18350, 1564, 284, 9131, 15900, 6640, 12887, 332, 528, 940, 12887, 12898, 12158, 12887, 16838, 532, 12887, 9519, 12887, 331, 22760, 697, 11172, 10142, 258, 476, 274, 269, 271, 6684, 585, 3018, 17058, 1477, 258, 672, 10934, 3018, 1485, 2338, 547, 3018, 1485, 4408, 1477, 258, 672, 1284, 946, 10022, 6230, 777, 3890, 1505, 1477, 611, 9131, 15553, 1485, 11172, 815, 740, 9131, 15553, 1485, 262, 4940, 14090, 20719, 1477, 4449, 7386, 476, 271, 2433, 1412, 31388, 3299, 1477, 4449, 7386, 476, 272, 2433, 1412, 307, 11698, 3299, 1477, 4449, 7386, 476, 273, 281, 1412, 26607, 11888, 3299, 1477, 4449, 7386, 476, 274, 281, 1412, 32637, 3299, 1477, 4449, 7386, 476, 275, 281, 1412, 293, 27518, 3299, 1477, 4449, 7386, 476, 276, 281, 1412, 306, 12944, 3299, 1477, 4449, 7386, 476, 277, 281, 1412, 306, 1495, 599, 262, 1477, 4449, 7386, 7684, 1477, 4449, 3546, 476, 10142, 611, 9131, 15553, 1485, 262, 4940, 3650, 31476, 258, 476, 275, 269, 271, 1284, 946, 10022, 6230, 777, 3890, 1505, 1586, 855, 713, 942, 3079, 540, 23478, 1477, 258, 8587, 513, 8675, 547, 27774, 7004, 267, 649, 946, 513, 1599, 585, 1477, 258, 1038, 7004, 1477, 3698, 3923, 3287, 8029, 825, 952, 476, 271, 2999, 1535, 2999, 476, 274, 6769, 1038, 2132, 834, 304, 272, 257, 2018, 1948, 22588, 476, 272, 1477, 825, 952, 476, 274, 27045, 1535, 2999, 476, 277, 6769, 1038, 2132, 834, 304 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8702, 547, 519, 10326, 5264, 7991, 454, 23763, 547, 12840, 593, 3009, 6959, 286, 5620, 12961, 596, 991, 5955, 593, 286, 18391, 585, 606, 3063, 1305, 540, 4064, 593, 707, 5767, 1788, 286, 5192, 1489, 609, 8284, 9367, 267, 9858, 267, 543, 23501, 540, 782, 10080, 543, 5578, 2157, 1934, 609, 519, 10326, 5264, 7991, 256, 2755, 596, 2811, 693, 621, 267, 2638, 856, 930, 2200, 10326, 5264, 1053, 723, 3838, 1934, 563, 19185, 547, 1451, 1945, 1007, 888, 21698, 5264, 3091, 513, 5722, 1554, 1863, 4693, 585, 1007, 1053, 269, 5192, 1569, 547, 5215, 540, 3108, 540, 1543, 543, 6443, 5215, 540, 10326, 5264, 1053, 543, 620, 30282, 538, 519, 2146, 2221, 269, 9359, 707, 1863, 4693, 454, 300, 14709, 4446, 290, 12973, 9578, 9906, 476, 276, 267, 280, 1839, 18745, 454, 303, 1513, 532, 10606, 3245, 5899, 902, 1966, 910, 594, 1589, 713, 5850, 568, 28572, 563, 296, 798, 711, 723, 547, 2322, 3490, 476, 1015, 15042, 269, 950, 594, 1826, 519, 4756, 538, 519, 23641, 267, 594, 993, 3478, 519, 1948, 1775, 993, 3168, 585, 1510, 3490, 476, 1015, 269, 4746, 267, 1879, 594, 2322, 476, 2537, 1004, 267, 594, 993, 3478, 476, 2537, 593, 519, 23641, 2073, 711, 834, 27845, 301, 257, 630, 2254, 513, 1297, 1040, 594, 4898, 875, 2025, 713, 5850, 568, 10756, 12648, 513, 1413, 693, 519, 11819, 781, 11872, 896, 602, 3381, 269, 1358, 2491, 602, 519, 9949, 7180, 540, 454, 27785, 4504, 3890, 814, 1631, 4957, 269, 1635, 9949, 267, 621, 1631, 17648, 519, 2234, 1460, 568, 454, 279, 269, 1809, 8429, 519, 2234, 1460, 547, 519, 454, 27785, 4504, 3890, 1599, 3884, 1405, 1175, 827, 3478, 707, 3009, 547, 960, 267, 621, 781, 849, 827, 3009, 31824, 269, 25126, 3116, 1522, 1439, 909, 2542, 3009, 596, 4312, 2854, 543, 606, 8763, 2234, 1460, 2982, 602, 596, 616, 4628, 3222, 540, 519, 25029, 540, 602, 1599, 563, 1607, 1689, 568, 851, 540, 519, 10566, 300, 3008, 5296, 476, 276, 3044, 855, 930, 30582, 1869, 10093, 1405, 4847, 621, 267, 865, 585, 2407, 17356, 267, 596, 1058, 2141, 14574, 513, 2234, 1460, 269, 1411, 666, 1491, 513, 1413, 693, 519, 12319, 593, 11022, 301, 602, 25495, 713, 563, 7661, 267, 952, 596, 4585, 519, 3381, 1586, 267, 596, 3513, 1294, 602, 13343, 568, 849, 3478, 513, 1297, 585, 519, 5569, 454, 257, 2537, 1004, 2668, 1717, 267, 646, 4991, 454, 27845, 301, 1394, 585, 519, 5569, 454, 257, 11004, 616, 476, 2537, 1004, 257, 2443, 513, 5569, 602, 3085, 1405, 1376, 609, 513, 1297, 269, 2334, 7180, 1705, 711, 1689, 543, 3884, 1405, 2693, 547, 1689, 563, 10831, 269, 27785, 4504, 3890, 799, 6411, 4010, 519, 1482, 607, 519, 2518, 0, 8139, 519, 8129, 543, 7700, 2188, 540, 10295, 8552, 4524, 630, 32359, 264, 568, 2565, 547, 3246, 4977, 21904, 543, 3617, 7459, 269, 20150, 568, 513, 1950, 5778, 16467, 11365, 2783, 6353, 676, 1514, 5872, 7965, 267, 2792, 2591, 267, 543, 513, 12402, 547, 4497, 538, 16625, 5615, 269, 634, 2243, 540, 2436, 10714, 666, 2014, 10295, 568, 835, 602, 814, 21959, 1229, 3007, 1851, 4648, 538, 6530, 543, 12963, 338, 563, 10932, 883, 20284, 814, 7152, 602, 621, 568, 7361, 513, 16220, 6766, 2783, 269, 1717, 267, 2825, 2188, 949, 1404, 513, 1909, 538, 922, 23314, 543, 10335, 269, 25392, 519, 2565, 11095, 9486, 538, 513, 1126, 779, 2038, 1296, 267, 621, 568, 1271, 547, 5431, 602, 1247, 10714, 666, 16094, 1764, 513, 1126, 779, 5626, 543, 5042, 1646, 267, 621, 568, 711, 2808, 513, 2014, 540, 10295, 269, 5502, 267, 8320, 540, 10714, 949, 22652, 5817, 2589, 538, 1453, 945, 616, 2907, 593, 519, 10295, 8552, 267, 1818, 519, 10368, 1184, 811, 1950, 563, 763, 2078, 1063, 6689, 10714, 543, 519, 6881, 540, 10295, 5829, 5615, 814, 1044, 8268, 538, 1585, 2090, 267, 13031, 10053, 32144, 687, 269, 10598, 937, 666, 3006, 581, 31495, 2181, 1540, 607, 10295, 538, 1453, 1813, 547, 20718, 8965, 14245, 267, 971, 607, 1514, 15639, 610, 16607, 4633, 269, 901, 10167, 6799, 2591, 538, 20559, 618, 585, 3782, 543, 3872, 4648, 945, 616, 25461, 609, 23243, 1063, 2360, 540, 10714, 543, 9758, 2589, 540, 20284, 563, 8139, 20150, 25400, 13081, 454, 8505, 1143, 25400, 13081, 630, 32359, 264, 568, 513, 1950, 5778, 16467, 11365, 2783, 6353, 676, 2591, 609, 1514, 1983, 267, 2792, 7965, 267, 543, 16625, 3270, 540, 2623, 269, 898, 568, 1634, 607, 513, 2048, 338, 1051, 5300, 685, 4524, 1317, 621, 13315, 513, 2039, 540, 2589, 543, 1812, 885, 563, 32359, 5540, 2043, 8335, 267, 855, 1455, 2589, 1331, 912, 268, 5262, 2159, 625, 538, 1514, 2792, 281, 24410, 1076, 609, 17187, 10291, 267, 3908, 3750, 3346, 267, 543, 7965, 1620, 1866, 685, 5380, 563, 268, 3115, 564, 1438, 5615, 281, 12056, 538, 7368, 5322, 267, 971, 607, 4224, 532, 610, 1688, 22286, 6260, 267, 610, 14461, 15984, 547, 13467, 563, 268, 10263, 281, 13786, 525, 547, 10444, 11378, 666, 581, 693, 2988, 673, 282, 930, 949, 581, 5409, 25259, 267, 1247, 1866, 949, 581, 896, 3146, 5562, 563, 10932, 5267, 602, 4719, 2188, 1404, 513, 1713, 1909, 538, 20284, 269, 898, 568, 6059, 602, 1200, 527, 1464, 6589, 585, 827, 476, 3199, 260, 540, 519, 1981, 540, 3384, 519, 4524, 269, 7351, 2090, 1397, 602, 19260, 538, 6090, 3238, 538, 2634, 1646, 949, 7519, 8849, 4296, 267, 18363, 5042, 543, 1514, 2208, 563, 32359, 568, 849, 2808, 513, 24245, 11095, 4524, 267, 31552, 602, 621, 779, 513, 5812, 851, 540, 606, 1367, 779, 1646, 543, 666, 581, 8995, 607, 2038, 607, 476, 1240, 3275, 540, 2085, 269, 4595, 20284, 568, 513, 8552, 267, 519, 10335, 540, 2589, 9775, 267, 543, 930, 2043, 949, 2661, 10446, 267, 1247, 1866, 949, 2154, 15400, 1489, 269, 1703, 568, 1100, 1634, 10826, 585, 20284, 267, 855, 972, 616, 1585, 7459, 267, 1519, 8965, 3797, 543, 2792, 2994, 267, 799, 666, 948, 1346, 4299, 547, 4383, 2589, 543, 1451, 1007, 1983, 563, 32575, 519, 1016, 6943, 540, 20284, 606, 1367, 814, 568, 1271, 267, 607, 621, 11226, 538, 2766, 1681, 519, 6304, 2994, 547, 741, 1808, 2115, 269, 898, 779, 2565, 547, 4063, 602, 20284, 568, 711, 519, 1267, 540, 10714, 610, 4057, 15970, 282, 2864, 267, 621, 568, 513, 4719, 4524, 602, 568, 1459, 689, 2038, 1646, 563, 292, 339, 5735, 540, 20150, 454, 763, 1696, 5735, 540, 10295, 568, 1950, 543, 12947, 716, 3645, 267, 1519, 513, 2039, 540, 4719, 543, 2825, 7506, 269, 12824, 27082, 602, 513, 4999, 540, 891, 2188, 8309, 547, 519, 1646, 540, 10295, 8552, 4524, 630, 32359, 1916, 7049, 2045, 2188, 616, 1851, 519, 3119, 3123, 540, 10295, 269, 12824, 723, 4857, 513, 1297, 540, 4719, 13592, 602, 2333, 519, 1981, 585, 20284, 269, 1280, 1383, 267, 25102, 27689, 899, 32746, 850, 2473, 15540, 543, 16515, 828, 748, 590, 16235, 616, 2404, 609, 513, 2362, 11841, 540, 10295, 269, 1703, 779, 513, 13618, 538, 519, 3621, 2146, 602, 19021, 640, 4249, 513, 2565, 1909, 267, 543, 1896, 6090, 723, 1044, 26582, 538, 519, 2783, 563, 20245, 7506, 849, 1404, 513, 1713, 1909, 538, 519, 1696, 5735, 540, 10295, 269, 22452, 547, 1978, 2825, 2188, 267, 971, 607, 13851, 267, 5230, 8407, 267, 543, 2011, 14107, 267, 814, 1044, 5532, 547, 606, 2799, 1981, 540, 20284, 269, 1290, 4124, 1282, 6379, 267, 1519, 4598, 547, 13802, 267, 616, 849, 2808, 1981, 2188, 585, 519, 1646, 540, 10295, 538, 15556, 563, 763, 2085, 540, 519, 3237, 267, 3226, 4359, 15366, 2085, 267, 814, 1044, 2404, 609, 513, 2362, 1981, 540, 2348, 513, 1126, 609, 10295, 269, 5525, 2303, 602, 1312, 14774, 543, 533, 11189, 6502, 949, 3310, 519, 1981, 267, 609, 4719, 13592, 538, 14203, 1373, 811, 1455, 538, 4587, 18971, 267, 5732, 2810, 519, 10171, 540, 20284, 538, 519, 1126, 563, 8448, 2657, 17148, 454, 300, 11189, 1072, 2175, 267, 971, 607, 3987, 543, 8377, 267, 616, 1634, 547, 581, 1644, 547, 519, 1646, 540, 10295, 538, 519, 1126, 269, 5047, 267, 2043, 609, 10295, 616, 811, 2693, 547, 723, 598, 1260, 26938, 1072, 2152, 971, 607, 20560, 269, 2755, 10074, 723, 1044, 8499, 11567, 267, 519, 2597, 540, 3621, 2963, 6920, 789, 616, 711, 513, 2014, 540, 10295, 563, 28536, 3151, 20150, 25400, 15136, 454, 32575, 20150, 25400, 15136, 630, 3008, 17762, 264, 568, 513, 2565, 1184, 602, 3340, 9488, 4791, 10526, 267, 13387, 4152, 267, 543, 2038, 7020, 540, 4191, 543, 2589, 269, 901, 1445, 5849, 4977, 5868, 543, 7028, 519, 1646, 540, 3617, 3872, 543, 6304, 2994, 563, 32747, 4879, 5713, 607, 513, 22294, 538, 23235, 10295, 269, 7885, 5974, 5531, 3102, 11095, 12583, 543, 7747, 513, 2039, 540, 5615, 547, 2697, 4191, 540, 20284, 269, 1358, 2628, 2673, 3007, 547, 513, 1126, 779, 2792, 1983, 267, 1514, 4205, 267, 543, 1022, 16625, 2623, 269, 8178, 906, 1282, 2038, 6689, 616, 2565, 607, 789, 666, 7866, 11095, 9124, 610, 4145, 827, 1126, 28915, 13015, 267, 799, 1058, 711, 581, 11821, 609, 20284, 563, 305, 1961, 540, 9208, 1242, 13281, 454, 24092, 1242, 4152, 2488, 6662, 3800, 602, 1489, 519, 4681, 689, 4791, 7422, 269, 13088, 899, 519, 20150, 26616, 9866, 3569, 21480, 630, 4696, 5308, 264, 616, 4922, 1031, 676, 12665, 269, 1452, 4255, 6218, 2127, 4299, 676, 20284, 267, 971, 607, 2792, 1983, 543, 16625, 5615, 267, 547, 10646, 20284, 689, 824, 7214, 9124, 563, 15900, 20050, 543, 12580, 454, 15900, 7020, 540, 20284, 4191, 568, 4105, 585, 12905, 6304, 267, 799, 666, 7494, 1764, 519, 1576, 540, 513, 1126, 779, 1646, 269, 12580, 1419, 1459, 1354, 519, 2085, 540, 1614, 543, 949, 1331, 513, 3668, 540, 30506, 267, 9000, 540, 6093, 1514, 10291, 267, 543, 8966, 17140, 610, 21915, 337, 4548, 950, 13467, 616, 22314, 269, 30587, 585, 891, 2038, 4191, 6087, 2417, 6268, 543, 19862, 540, 3358, 2069, 3292, 547, 3986, 519, 1126, 779, 11095, 1983, 563, 25842, 540, 10598, 937, 593, 20150, 4886, 454, 8139, 519, 1761, 1764, 540, 10714, 593, 10295, 1646, 568, 2629, 538, 1114, 11868, 1063, 519, 2360, 540, 2825, 2188, 543, 519, 2589, 17271, 547, 20150, 25400, 13081, 630, 32359, 1040, 631, 5306, 13015, 666, 3310, 11095, 4093, 585, 1453, 267, 855, 621, 568, 1271, 547, 4063, 602, 10714, 1281, 711, 2014, 10295, 267, 799, 568, 513, 5778, 16467, 11365, 2783, 563, 22546, 338, 540, 4132, 10598, 937, 454, 21609, 10714, 267, 21214, 2168, 10714, 267, 3929, 6057, 267, 543, 3006, 1256, 4638, 6057, 267, 666, 723, 1713, 29298, 593, 513, 1126, 779, 2790, 1072, 269, 1879, 513, 1126, 779, 2596, 2115, 585, 3929, 1489, 543, 1514, 5872, 616, 711, 1558, 267, 713, 666, 1291, 547, 15779, 2566, 267, 3006, 8915, 532, 2589, 602, 16937, 609, 1346, 540, 20284, 269, 1717, 267, 621, 568, 2565, 547, 1174, 602, 891, 6114, 547, 8194, 543, 10714, 616, 3982, 689, 519, 5817, 3123, 540, 10295, 563, 763, 10020, 540, 7216, 19974, 29568, 454, 15900, 6689, 4205, 267, 6353, 676, 2648, 543, 18906, 633, 1416, 689, 15637, 267, 3337, 513, 1126, 779, 2792, 1983, 543, 1514, 1646, 269, 634, 9000, 610, 1202, 340, 11797, 540, 891, 4205, 1813, 547, 10714, 666, 28148, 1860, 513, 1126, 779, 2702, 547, 1106, 2635, 3347, 269, 19198, 543, 15637, 1404, 606, 1898, 1909, 538, 3246, 519, 1489, 2556, 585, 2318, 2790, 1072, 4093, 563, 18850, 3907, 5109, 9737, 20150, 543, 10598, 937, 27159, 454, 18850, 3907, 5109, 1063, 519, 4093, 540, 10295, 543, 519, 2360, 540, 10714, 666, 581, 4101, 267, 607, 1312, 949, 1459, 2147, 2589, 971, 607, 7965, 538, 1514, 5872, 543, 2623, 269, 4132, 13363, 633, 7896, 543, 2790, 1072, 4648, 1590, 5402, 2708, 519, 2589, 547, 3313, 952, 789, 6565, 689, 20284, 610, 616, 519, 6364, 540, 10714, 543, 8194, 269, 6452, 23847, 8446, 5849, 602, 1453, 4309, 519, 3617, 1489, 543, 7459, 563, 11328, 3685, 543, 8081, 454, 11328, 3685, 543, 1489, 585, 2043, 609, 10295, 8552, 4524, 630, 32359, 264, 616, 1898, 585, 519, 1646, 540, 2792, 1983, 267, 5807, 1514, 3347, 267, 543, 5355, 2790, 1072, 4093, 563, 305, 1961, 540, 4065, 538, 20150, 454, 19733, 4249, 513, 11358, 1909, 538, 519, 2729, 540, 2043, 609, 20284, 269, 13229, 3872, 3292, 616, 3358, 547, 519, 1367, 779, 2115, 267, 1419, 6220, 7463, 3450, 2994, 543, 11295, 1565, 5054, 269, 1452, 3292, 2832, 547, 3986, 2792, 1983, 543, 1514, 1983, 267, 799, 616, 4105, 585, 513, 3811 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 595, 269, 19159, 24759, 1523, 540, 513, 2048, 338, 1539, 1670, 9345, 685, 950, 3168, 693, 519, 2042, 540, 519, 1367, 267, 4586, 32723, 332, 850, 700, 8636, 28584, 267, 20913, 14100, 267, 8176, 16817, 267, 590, 10176, 1495, 22506, 267, 3627, 26573, 7085, 267, 9687, 883, 2413, 4081, 15257, 4843, 676, 27878, 332, 850, 20736, 330, 8583, 607, 4052, 543, 6662, 1514, 1382, 269, 634, 15474, 13898, 540, 4864, 324, 1290, 974, 282, 476, 273, 12531, 282, 28331, 2006, 269, 27878, 332, 850, 20736, 330, 8583, 630, 1765, 264, 27878, 332, 850, 20736, 330, 8583, 729, 513, 3943, 1914, 6048, 945, 9782, 547, 23146, 538, 519, 3735, 476, 866, 555, 543, 2038, 476, 736, 555, 5553, 269, 13966, 609, 20913, 14100, 543, 7665, 32544, 267, 646, 568, 20295, 607, 1373, 835, 540, 519, 9030, 27428, 540, 2413, 15257, 269, 20736, 330, 8583, 2919, 519, 1523, 540, 606, 558, 773, 2663, 538, 2672, 8336, 267, 3370, 538, 769, 621, 267, 646, 7710, 519, 18312, 11980, 3928, 1851, 14308, 1218, 543, 23597, 267, 7713, 602, 6793, 1514, 1852, 1851, 23597, 2164, 538, 2539, 11980, 3928, 563, 263, 382, 370, 272, 264, 22569, 1588, 901, 1557, 568, 827, 519, 9345, 540, 2506, 850, 20736, 330, 8583, 543, 7665, 32544, 267, 1079, 28466, 602, 3592, 3025, 1631, 24693, 607, 27428, 540, 519, 2257, 540, 2486, 630, 338, 1539, 1108, 264, 910, 5103, 519, 1249, 602, 789, 1376, 689, 15852, 3741, 563, 13828, 616, 2356, 26916, 585, 741, 15984, 547, 5013, 267, 543, 594, 723, 1100, 29170, 7758, 609, 713, 267, 855, 594, 1589, 602, 2257, 568, 1175, 607, 8200, 593, 9345, 269, 6424, 27878, 332, 850, 20736, 330, 8583, 630, 23210, 281, 20913, 14100, 267, 543, 7665, 32544, 28934, 4122, 11855, 607, 519, 9030, 4056, 540, 2413, 1514, 2257, 563, 4263, 519, 1482, 942, 267, 20736, 330, 8583, 5156, 602, 1290, 974, 729, 1869, 1932, 10952, 538, 1010, 19773, 269, 634, 13898, 540, 4317, 3163, 269, 634, 6138, 540, 1514, 2257, 666, 581, 4330, 17618, 607, 2348, 1079, 6663, 563, 5575, 267, 621, 11394, 547, 3132, 513, 7787, 16646, 540, 1514, 2257, 269, 6424, 27878, 332, 850, 20736, 330, 8583, 630, 23210, 281, 1496, 655, 559, 10085, 390, 479, 330, 389, 505, 332, 316, 610, 282, 476, 1428, 4989, 1107, 476, 1428, 5437, 3738, 729, 513, 3943, 17022, 935, 10811, 343, 2593, 18005, 3964, 519, 4081, 9015, 543, 1765, 5976, 654, 269, 661, 269, 645, 269, 13660, 4425, 529, 267, 20913, 14100, 543, 7665, 32544, 28934, 4122, 11855, 607, 519, 9030, 4056, 540, 2413, 1514, 2257, 10756, 28074, 540, 20736, 330, 8583, 781, 960, 729, 7255, 609, 875, 7239, 1223, 2226, 741, 8699, 543, 25843, 538, 269, 0, 12585, 547, 7726, 1948, 276, 2537, 4962, 538, 5082, 668, 24599, 1143, 585, 29974, 784, 454, 288, 27647, 10309, 609, 16509, 4187, 454, 3333, 3298, 2407, 4336, 1219, 3005, 585, 513, 1699, 540, 476, 273, 269, 276, 332, 288, 269, 1215, 1131, 596, 6460, 621, 883, 513, 18699, 31461, 540, 2039, 476, 271, 547, 476, 1015, 269, 271, 309, 888, 763, 2626, 547, 519, 2243, 568, 2139, 538, 519, 7300, 3758, 4179, 2517, 4178, 269, 817, 9892, 1410, 13630, 2593, 10774, 727, 1740, 268, 753, 9955, 270, 874, 12695, 268, 24987, 268, 276, 2537, 4962, 15005, 0, 293, 7644, 4306, 589, 2839, 570, 6938, 2562, 5058, 5254, 13263, 19181, 8863, 2752, 9898, 3633, 645, 3198, 298, 30264, 289, 476, 280, 267, 476, 1001, 271, 1635, 4053, 531, 19487, 631, 933, 330, 1495, 340, 561, 11575, 700, 31813, 769, 1351, 13681, 2610, 609, 24063, 4414, 9061, 563, 307, 8008, 2975, 476, 272, 281, 674, 7644, 4306, 589, 2839, 3040, 9502, 281, 3040, 3689, 5351, 568, 519, 7525, 6351, 2016, 547, 513, 13680, 1399, 269, 2107, 6408, 540, 6727, 4576, 610, 7063, 1354, 1373, 3144, 547, 513, 1072, 1770, 585, 2417, 2359, 269, 3040, 3642, 5960, 5508, 717, 4353, 5058, 674, 7644, 4306, 589, 2839, 3040, 1677, 4688, 1272, 269, 3040, 1677, 14867, 1928, 269, 3040, 1677, 3895, 2656, 6051, 3040, 1677, 2061, 2417, 20070, 3753, 543, 25124, 3040, 1677, 1852, 11702, 3040, 1677, 581, 2111, 3560, 25096, 454, 12702, 3201, 296, 25765, 5508, 589, 674, 7644, 4306, 589, 2839, 2207, 3040, 18771, 723, 519, 1318, 1702, 543, 5578, 593, 1101, 5351, 3040, 11408, 3136, 547, 1451, 543, 3605, 3040, 18771, 581, 513, 1434, 1909, 2203, 585, 519, 4414, 9061, 3350, 3040, 18771, 2141, 581, 8348, 547, 4217, 1776, 1101, 513, 3187, 3040, 18771, 581, 2656, 607, 3375, 1818, 543, 538, 2962, 269, 3040, 18771, 581, 28450, 267, 543, 711, 25091, 269, 3040, 18771, 581, 3860, 543, 4199, 995, 630, 24708, 946, 540, 519, 12725, 2139, 2326, 1040, 3040, 18771, 581, 2111, 547, 1118, 946, 540, 1010, 1455, 2631, 538, 5883, 3871, 269, 3040, 18771, 581, 9350, 269, 3040, 18771, 581, 8746, 269, 3040, 18771, 581, 2616, 656, 269, 3040, 18771, 581, 22973, 269, 3040, 9701, 581, 10978, 543, 2312, 538, 2792, 269, 3040, 9701, 946, 2110, 5220, 543, 2312, 563, 305, 8085, 2464, 5508, 717, 4353, 5058, 674, 7644, 4306, 589, 2839, 476, 272, 269, 3689, 5351, 619, 1272, 2501, 1297, 835, 476, 273, 269, 1684, 1101, 1919, 1101, 630, 11403, 269, 27398, 264, 3314, 547, 2285, 1101, 5351, 547, 519, 1034, 12517, 13676, 9601, 1101, 269, 3040, 667, 9734, 3040, 15863, 3040, 5794, 1259, 3040, 22165, 3107, 3040, 19449, 27218, 454, 25332, 2925, 519, 8009, 6429, 607, 596, 1935, 2638, 856, 585, 1022, 8594, 610, 2014, 269, 3040, 11408, 1694, 610, 9114, 513, 13680, 1399, 1354, 11504, 547, 1864, 610, 1200, 3040, 1684, 711, 19060, 547, 1847, 513, 13680, 1399, 689, 519, 6429, 540, 8009, 1354, 10992, 585, 11983, 7063, 269, 3040, 2142, 9350, 267, 11931, 543, 538, 1852, 540, 519, 3510, 269, 3040, 5901, 24921, 2476, 543, 946, 824, 1101, 5351, 619, 270, 10890, 4600, 610, 676, 676, 1056, 619, 1459, 269, 3040, 17179, 13680, 1399, 689, 519, 2014, 610, 519, 2014, 689, 519, 13680, 1399, 269, 3040, 5901, 13680, 1399, 3819, 543, 3382, 21066, 543, 7413, 3350, 1141, 2556, 269, 3040, 1234, 817, 675, 519, 13680, 1399, 267, 621, 1797, 513, 2603, 547, 1010, 17017, 2247, 269, 3040, 7490, 267, 13173, 519, 13680, 1399, 547, 519, 2657, 5149, 269, 3040, 5192, 4282, 1686, 269, 13517, 540, 8009, 270, 650, 1145, 689, 676, 268, 1056, 619, 610, 689, 519, 13680, 1399, 952, 2009, 3040, 15147, 16398, 547, 2061, 3968, 269, 3040, 19594, 538, 2247, 16154, 7063, 1141, 972, 616, 1100, 6654, 7063, 269, 1879, 513, 1560, 814, 1044, 5734, 2182, 267, 972, 568, 513, 1974, 31018, 269, 6875, 4063, 540, 713, 3040, 8550, 2285, 17499, 25096, 1022, 3364, 547, 3548, 610, 547, 4235, 269, 3040, 5901, 519, 7834, 540, 519, 13680, 1399, 621, 779, 707, 5539, 269, 3040, 11408, 960, 689, 538, 4395, 540, 519, 13680, 1399, 454, 27237, 292, 281, 3689, 589, 11107, 1590, 581, 2111, 547, 1491, 5279, 540, 513, 3510, 267, 1832, 9350, 1247, 2324, 896, 2604, 267, 543, 10891, 1866, 547, 798, 11338, 269, 1635, 11744, 16169, 543, 1210, 1134, 5697, 1913, 540, 19015, 267, 3689, 589, 3187, 3094, 519, 6015, 540, 13680, 1399, 454, 307, 8008, 2975, 476, 273, 281, 28132, 19006, 5508, 589, 674, 7644, 4306, 589, 2839, 21398, 311, 3040, 634, 1739, 616, 3688, 602, 1590, 581, 3769, 538, 513, 1101, 5351, 4216, 281, 3040, 17020, 1137, 3040, 717, 879, 2763, 3040, 1773, 7539, 3040, 2480, 19538, 3040, 570, 933, 14162, 619, 3040, 29158, 26741, 3040, 10266, 23703, 619, 3040, 8074, 3883, 1656, 6755, 3040, 2598, 17126, 656, 3040, 594, 617, 710, 1315, 306, 2869, 527, 3040, 3794, 7174, 3040, 13880, 673, 2349, 3547, 3040, 3794, 26651, 3040, 22210, 31201, 3040, 8881, 623, 1231, 3040, 2107, 338, 1107, 302, 1537, 1234, 5139, 1674, 6428, 1206, 3040, 6931, 2939, 1315, 12213, 14333, 3040, 1924, 777, 2405, 5344, 3040, 590, 680, 6493, 454, 307, 8008, 2975, 476, 274, 281, 645, 3198, 6395, 12283, 901, 568, 513, 1570, 1500, 540, 1608, 4815, 630, 322, 9051, 264, 13412, 610, 2121, 2027, 1957, 267, 1031, 547, 1489, 10571, 902, 267, 10943, 6493, 267, 13676, 6091, 267, 5762, 3293, 7633, 267, 13676, 17873, 610, 1022, 1560, 851, 538, 519, 2838, 2990, 547, 2953, 22775, 640, 543, 547, 1852, 11702, 269, 3040, 19532, 3201, 296, 25765, 5508, 589, 23184, 7495, 645, 3198, 6395, 12283, 282, 3040, 898, 1590, 711, 581, 31868, 2044, 3040, 898, 1058, 581, 13412, 269, 3040, 18771, 581, 1279, 2614, 563, 305, 8085, 2464, 5508, 6673, 12195, 312, 5058, 645, 3198, 6395, 294, 5058, 3040, 15233, 519, 6512, 720, 1247, 519, 13680, 1399, 568, 9361, 610, 14084, 1524, 269, 3040, 15233, 513, 6512, 720, 1247, 6849, 519, 13680, 1399, 543, 581, 593, 519, 13676, 2427, 269, 3040, 8081, 519, 13676, 851, 538, 513, 2990, 267, 799, 568, 6899, 585, 519, 1757, 1275, 269, 3040, 589, 6512, 720, 1058, 581, 28426, 543, 17401, 18202, 610, 5423, 1354, 862, 9760, 6512, 1645, 269, 3040, 589, 16945, 6512, 720, 1058, 581, 6512, 3042, 689, 2630, 20733, 519, 18215, 269, 3040, 589, 6512, 720, 1058, 581, 6109, 855, 711, 9395, 269, 3040, 589, 16945, 6512, 720, 1058, 581, 3323, 609, 519, 9018, 2627, 593, 519, 2960, 269, 3040, 589, 21083, 6512, 720, 1590, 1439, 609, 513, 11818, 24516, 3040, 5269, 7928, 11974, 547, 2327, 519, 6512, 720, 1281, 711, 1831, 1932, 9395, 607, 519, 5160, 2220, 749, 269, 3040, 1401, 2821, 519, 19462, 543, 18969, 585, 5464, 10009, 269, 3040, 2755, 6512, 1645, 606, 5945, 609, 791, 2454, 3615, 6512, 720, 593, 519, 5011, 543, 711, 936, 563, 289, 3198, 6395, 294, 2464, 3040, 674, 7419, 290, 16739, 5508, 589, 645, 3198, 6395, 12283, 3040, 19321, 1463, 2604, 936, 513, 19703, 547, 1852, 513, 11702, 269, 3040, 15579, 19703, 543, 10943, 6493, 538, 2990, 269, 3040, 16473, 610, 2569, 11926, 3040, 3629, 1489, 585, 17873, 10768, 2002, 338, 3040, 10163, 2774, 3350, 3040, 26859, 538, 8876, 1315, 331, 14823, 519, 1757, 1275, 3040, 570, 24688, 2464, 5508, 645, 3198, 6395, 294, 2464, 281, 3040, 17029, 2401, 6512, 720, 610, 1212, 701, 3040, 10222, 9771, 6512, 720, 270, 684, 1392, 531, 630, 2005, 779, 1572, 8471, 1317, 1082, 6512, 1137, 666, 581, 1500, 689, 621, 8094, 307, 6020, 20315, 8085, 2752, 654, 22432, 645, 4629, 4696, 715, 2752, 4629, 310, 681, 5357, 299, 2207, 18919, 2969, 623, 4696, 681, 5058, 623, 4696, 454, 307, 8008, 2975, 476, 275, 281, 645, 4041, 3633, 5058, 1607, 568, 519, 9101, 540, 1973, 689, 1973, 1062, 602, 568, 282, 1698, 650, 2456, 267, 16209, 267, 15532, 543, 24711, 9537, 540, 11702, 18378, 28563, 5338, 901, 568, 519, 9101, 540, 1973, 689, 16209, 267, 1698, 650, 2456, 543, 15532, 883, 519, 5624, 538, 519, 1560, 269, 630, 7230, 1622, 3330, 519, 1560, 1040, 12327, 9898, 2793, 299, 645, 4041, 3633, 5058, 901, 568, 519, 9101, 540, 1973, 689, 16209, 267, 1698, 650, 2456, 543, 15532, 856, 540, 519, 1560, 543, 568, 2938, 269, 11404, 4785, 2464, 3040, 16359, 10913, 3040, 674, 18017, 3040, 595, 7491, 689, 8325, 3615, 3040, 12096, 532, 1524, 1247, 4881, 610, 6972, 3040, 674, 847, 999, 590, 5456, 10064, 6730, 20219, 6573, 15674, 5960, 630, 294, 2894, 2207, 3201, 264, 3040, 10552, 568, 2938, 3040, 10266, 3040, 654, 895, 3040, 3487, 3587, 22224, 3040, 4937, 1560, 8467, 3040, 10163, 16531, 3040, 667, 20063, 3040, 1133, 10940, 1145, 3040, 10552, 689, 2067, 10741, 3040, 10552, 2938, 689, 7984, 710, 267, 853, 944, 267, 11522, 2073, 309, 558, 7978, 3040, 774, 8812, 454, 25770, 3633, 5058, 3040, 674, 7644, 4306, 589, 2839, 10790, 2793, 294, 30121, 630, 293, 4456, 22077, 2969, 264, 3040, 23063, 610, 9114, 519, 13680, 1399, 1524, 3040, 29175, 622, 1198, 539, 851, 952, 2009, 3040, 15233, 1463, 2604, 269, 3040, 667, 816, 519, 10138, 3040, 1234, 817, 675, 519, 13680, 1399, 607, 596, 798, 519, 1657, 3040, 28582, 547, 519, 14282, 2564, 1770, 552, 3052, 269, 16758, 3040, 715, 5308, 292, 645, 4041, 3633, 5058, 3040, 23063, 519, 13680, 1399, 20005, 3040, 590, 2775, 569, 1930, 519, 7953, 540, 13680, 1399, 630, 1584, 873, 6306, 264, 3040, 18237, 577, 2571, 851, 693, 519, 9224, 630, 1492, 1858, 1063, 519, 4064, 1247, 519, 1757, 1275, 7362, 998, 519, 5023, 264, 3040, 5192, 543, 1747, 513, 4411, 29746, 630, 342, 564, 264, 12308, 610, 26703, 519, 2062, 2212, 3040, 1684, 519, 1657, 1169, 476, 276, 3764, 585, 476, 1789, 3764, 3040, 1403, 11702, 5170, 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 ]
[ 972, 267, 1354, 13059, 547, 3786, 563, 5472, 519, 3401, 540, 519, 661, 3256, 924, 543, 7720, 629, 924, 4229, 267, 2059, 609, 519, 4971, 619, 540, 519, 10136, 689, 519, 11335, 5032, 267, 3357, 547, 4591, 1993, 1716, 525, 543, 1767, 2676, 28494, 597, 267, 952, 596, 6432, 547, 938, 5796, 267, 707, 10136, 786, 711, 7985, 5230, 9271, 563, 4322, 25232, 798, 711, 7048, 593, 741, 9604, 585, 8878, 855, 2864, 593, 519, 4463, 540, 519, 10239, 1141, 789, 2661, 267, 2094, 519, 10239, 616, 711, 2653, 547, 18214, 563, 3383, 1287, 267, 4937, 4591, 1993, 1716, 525, 267, 952, 596, 798, 711, 1118, 513, 1463, 4323, 593, 873, 267, 707, 2898, 7952, 786, 7985, 1100, 25096, 269, 0, 15187, 1740, 12565, 814, 26823, 3022, 547, 1689, 922, 1935, 607, 621, 11394, 547, 2333, 519, 1297, 540, 2021, 538, 7841, 1909, 1310, 1007, 1382, 8761, 602, 676, 476, 1691, 1082, 723, 4628, 23564, 1055, 689, 4702, 607, 513, 4876, 4781, 563, 763, 2048, 18933, 3558, 2201, 267, 22732, 5510, 685, 1382, 267, 17298, 676, 16743, 32686, 1076, 585, 8416, 12565, 267, 4951, 513, 1883, 6885, 540, 4316, 547, 1719, 6690, 609, 840, 29364, 776, 1153, 6690, 1034, 1930, 547, 4742, 606, 11653, 267, 14775, 9244, 547, 4775, 1909, 3631, 543, 513, 4876, 609, 513, 1514, 1871, 971, 607, 7841, 563, 763, 1382, 1336, 602, 6690, 9907, 5722, 547, 8370, 941, 23564, 1055, 676, 3206, 4702, 729, 1932, 18660, 543, 30255, 855, 23564, 593, 676, 1620, 519, 1514, 3483, 540, 4702, 269, 9737, 519, 6502, 540, 476, 1015, 547, 476, 1321, 267, 6690, 941, 14126, 602, 4702, 568, 5906, 543, 602, 789, 14201, 1406, 2178, 2614, 855, 15527, 9797, 547, 1909, 3631, 538, 4702, 269, 21989, 9907, 476, 1724, 547, 476, 1428, 2219, 4702, 729, 796, 326, 4594, 5387, 543, 5667, 3469, 855, 17329, 519, 4316, 547, 1796, 856, 609, 513, 1114, 4876, 3903, 563, 15187, 1740, 12565, 814, 1767, 602, 621, 786, 5066, 13050, 513, 960, 1995, 10325, 267, 6462, 676, 4446, 743, 904, 267, 538, 519, 1007, 1153, 1032, 269, 634, 2754, 786, 849, 2196, 513, 3126, 540, 1930, 1256, 902, 693, 2866, 18013, 6098, 693, 2021, 267, 15386, 5107, 267, 10962, 23078, 547, 5234, 543, 2679, 6015, 547, 4019, 585, 4702, 5107, 269, 769, 513, 2417, 19915, 547, 6521, 519, 4008, 3666, 267, 8416, 12565, 786, 960, 609, 519, 5859, 1895, 6468, 538, 3163, 267, 5303, 543, 7177, 630, 310, 30990, 264, 547, 2333, 1620, 540, 1946, 6690, 1419, 7947, 11678, 538, 891, 4610, 563, 763, 1382, 14439, 2947, 3255, 547, 4482, 6690, 547, 4702, 912, 268, 4004, 6510, 519, 1514, 1871, 540, 4702, 1107, 948, 6690, 1174, 602, 4742, 606, 11653, 666, 948, 2087, 543, 1256, 4688, 2729, 454, 268, 21058, 1909, 3631, 2324, 538, 4702, 941, 4857, 607, 519, 2565, 3310, 538, 4657, 8456, 454, 268, 17291, 1018, 4702, 568, 689, 606, 2038, 3942, 1107, 693, 1153, 543, 693, 1753, 1107, 6158, 827, 875, 1919, 616, 2966, 543, 3710, 543, 945, 1281, 602, 2816, 547, 1628, 1620, 543, 1719, 454, 268, 717, 5446, 267, 28149, 538, 1880, 267, 729, 4857, 607, 513, 1259, 540, 2921, 513, 1153, 1641, 543, 8380, 621, 883, 519, 6690, 685, 1514, 2729, 454, 268, 5213, 1406, 581, 332, 15351, 513, 3668, 540, 4775, 8030, 267, 8661, 1346, 602, 723, 6074, 621, 607, 513, 3924, 269, 11334, 543, 3237, 941, 5667, 584, 29418, 4857, 607, 1883, 7506, 538, 6690, 685, 4876, 5079, 269, 0, 2304, 1271, 30652, 690, 1415, 8323, 17001, 267, 11331, 968, 763, 8644, 518, 1014, 28057, 2223, 568, 1631, 593, 4159, 693, 12924, 290, 2657, 1341, 9869, 8558, 270, 19604, 12661, 269, 634, 8227, 267, 12756, 3751, 8862, 718, 864, 267, 814, 3177, 519, 2189, 8644, 518, 1014, 11247, 547, 519, 6413, 593, 1279, 3856, 10211, 607, 513, 1259, 540, 4687, 811, 17618, 519, 18408, 827, 519, 15322, 540, 3979, 4892, 563, 10527, 8644, 518, 1014, 28057, 892, 6645, 513, 1650, 540, 8474, 936, 942, 269, 634, 8323, 267, 20827, 585, 519, 476, 3192, 280, 9257, 540, 3979, 30767, 630, 29151, 308, 264, 10985, 267, 18799, 676, 519, 6554, 540, 8644, 4997, 267, 729, 519, 7583, 332, 1588, 540, 1079, 1296, 685, 4074, 676, 519, 8644, 518, 1014, 9380, 528, 543, 1286, 591, 21238, 14717, 6782, 269, 634, 4062, 729, 711, 6394, 1310, 12032, 543, 7283, 16618, 538, 6004, 269, 14717, 6782, 779, 13186, 2394, 922, 2699, 18752, 267, 6718, 267, 543, 695, 3612, 547, 519, 2136, 2276, 267, 538, 519, 2038, 476, 2735, 271, 779, 267, 676, 922, 8227, 267, 12756, 3751, 28615, 563, 763, 8323, 568, 7415, 711, 1152, 585, 922, 5898, 855, 585, 922, 3532, 6041, 540, 519, 3520, 5558, 540, 8474, 543, 519, 4539, 585, 1346, 945, 6591, 741, 5191, 269, 901, 960, 540, 1148, 568, 1256, 811, 11108, 2094, 621, 23012, 9552, 269, 3509, 540, 6004, 269, 14717, 6782, 779, 1857, 18810, 1705, 711, 7639, 519, 1279, 3540, 2112, 538, 8644, 4997, 269, 6004, 269, 14717, 6782, 568, 21549, 563, 10527, 8644, 518, 1014, 28057, 892, 12225, 2873, 2185, 10207, 538, 519, 1686, 540, 3979, 4892, 912, 763, 1101, 6429, 14550, 8498, 1272, 538, 4000, 1765, 15161, 7722, 538, 3232, 2238, 543, 4730, 7574, 7405, 563, 763, 2034, 6429, 4564, 519, 12625, 540, 10553, 18318, 267, 741, 9635, 593, 519, 16880, 267, 543, 695, 871, 1194, 2367, 543, 513, 4807, 609, 1200, 1126, 1373, 7142, 547, 4604, 519, 9635, 563, 763, 3791, 6429, 28420, 519, 12625, 538, 4000, 540, 15685, 3979, 1977, 10437, 267, 945, 941, 2808, 26688, 2609, 538, 519, 2486, 676, 10553, 5411, 269, 1358, 941, 25997, 547, 4734, 519, 2136, 2276, 269, 634, 9241, 8452, 3295, 513, 812, 267, 1688, 856, 560, 4958, 3481, 267, 21936, 532, 606, 3979, 8783, 585, 2244, 547, 19268, 1479, 563, 763, 8772, 6429, 20186, 519, 18939, 540, 519, 909, 549, 6838, 3979, 4892, 267, 1634, 607, 1398, 334, 6441, 9200, 2103, 267, 945, 2968, 519, 13473, 1362, 543, 27428, 540, 519, 6243, 540, 8644, 4997, 563, 10527, 8644, 518, 1014, 28057, 892, 568, 593, 4159, 538, 519, 2311, 8922, 540, 634, 631, 1116, 623, 822, 559, 542, 563, 2108, 29369, 290, 2657, 1341, 9869, 8558, 270, 19604, 12661, 568, 20938, 543, 10583, 547, 10950, 2048, 763, 8644, 518, 1014, 631, 1116, 10200, 898, 814, 1044, 513, 17979, 585, 721, 782, 547, 960, 609, 12756, 3751, 28615, 547, 1118, 713, 1158, 11665, 11247, 2139, 585, 938, 2146, 547, 1995, 269, 3776, 6413, 814, 1279, 6956, 519, 1379, 540, 1148, 547, 1118, 513, 2312, 9295, 547, 519, 6765, 540, 1732, 1072, 267, 1134, 5630, 267, 543, 4824, 1995, 585, 2550, 543, 5234, 7567, 2223, 1767, 661, 14752, 631, 269, 29336, 15838, 267, 631, 5183, 267, 674, 27398, 267, 12751, 15445, 20229, 543, 12751, 21952, 20229, 540, 12924, 290, 2657, 1341, 9869, 8558, 270, 19604, 12661, 269, 968, 8072, 763, 8644, 518, 1014, 28057, 685, 814, 9927, 519, 25211, 540, 634, 631, 1116, 623, 822, 559, 542, 543, 8476, 938, 9354, 1604, 676, 11121, 267, 5356, 4126, 267, 543, 1034, 540, 782, 17666, 519, 14326, 540, 1346, 945, 2097, 547, 721, 585, 1416, 269, 1284, 10950, 713, 11141, 1840, 547, 938, 4015, 540, 8978, 543, 4207, 26620, 3034, 14881, 1705, 711, 917, 602, 3979, 4892, 941, 1500, 547, 4734, 519, 2136, 2276, 2390, 11543, 741, 5191, 2394, 594, 4718, 621, 13269, 538, 519, 3791, 6429, 540, 2048, 763, 8644, 518, 1014, 28057, 10200, 594, 729, 6410, 676, 519, 1093, 793, 3599, 540, 4892, 6998, 547, 581, 4847, 1394, 538, 4000, 267, 519, 2244, 540, 741, 11937, 282, 602, 543, 922, 5898, 941, 519, 4128, 594, 11751, 519, 28057, 269, 901, 15999, 11247, 2982, 519, 5168, 827, 519, 15322, 540, 3979, 4892, 2223, 1767, 12756, 3751, 28615, 563, 29369, 290, 2657, 1341, 9869, 8558, 568, 519, 4102, 1857, 1072, 1416, 1062, 538, 519, 4182, 7674, 811, 982, 513, 2929, 1715, 3840, 619, 12422, 538, 811, 982, 476, 3583, 3461, 1416, 6753, 2066, 519, 2749, 779, 2947, 18664, 965, 338, 269, 589, 7347, 3060, 540, 30229, 267, 8378, 2861, 3119, 543, 20614, 1416, 7740, 12979, 832, 1416, 11558, 609, 519, 1062, 779, 8194, 7740, 267, 8808, 5321, 267, 2022, 14092, 1393, 1416, 7740, 267, 1753, 1416, 8116, 267, 543, 5450, 549, 31936, 1072, 1544, 1765, 718, 6462, 676, 476, 1556, 1898, 10506, 269, 4706, 3309, 13781, 540, 811, 982, 476, 5655, 267, 1822, 5520, 568, 19918, 5059, 593, 16779, 1715, 3840, 619, 267, 1510, 9868, 267, 547, 2661, 519, 1072, 5006, 1272, 2009, 269, 1280, 811, 1344, 267, 3643, 8940, 269, 5500, 3832, 953, 663, 327, 2214, 8558, 3820, 543, 3251, 4448, 593, 9365, 693, 4179, 2517, 4178, 269, 2183, 1504, 2593, 21610, 312, 290, 10890, 21902, 610, 12108, 693, 7711, 29369, 290, 10890, 21902, 563, 10666, 12924, 290, 2657, 1341, 9869, 8558, 270, 19604, 12661, 454, 29369, 290, 2657, 1341, 9869, 8558, 270, 19604, 12661, 568, 513, 476, 28434, 1532, 539, 6413, 602, 2488, 513, 3376, 5044, 540, 15324, 267, 3119, 543, 8650, 1416, 2533, 1519, 2489, 4915, 543, 2564, 7449, 2133, 2906, 267, 2489, 6391, 543, 10551, 7449, 2133, 2906, 267, 11763, 3676, 267, 6188, 564, 7879, 543, 14934, 928, 19223, 267, 12963, 338, 543, 19440, 26331, 282, 6633, 543, 2565, 1416, 282, 2234, 5735, 9196, 543, 6046, 4915, 282, 14317, 4915, 543, 2168, 267, 4633, 543, 17163, 11257, 282, 2618, 17226, 543, 6219, 6057, 2533, 282, 5959, 543, 5711, 6391, 267, 543, 6595, 2937, 543, 12963, 2533, 269, 1284, 616, 606, 9351, 8862, 728, 22210, 4741, 543, 5426, 594, 23247, 267, 609, 15544, 540, 28742, 585, 645, 926, 6222, 17889, 267, 23213, 24919, 543, 20351, 2667, 5435, 5983, 985, 923, 267, 513, 11280, 853, 6593, 543, 15978, 4741, 267, 513, 2622, 2657, 9257, 779, 6167, 32019, 5071, 730, 17926, 674, 7037, 11233, 269, 12924, 290, 2657, 1341, 9869, 8558, 270, 19604, 12661, 568, 513, 4759, 540, 519, 12924, 290, 2657, 1341, 9869, 8558, 1072, 1416, 1062, 269, 1280, 811, 1344, 267, 3643, 8940, 269, 5500, 3832, 953, 663, 327, 2214, 8558, 3820, 270, 19604, 12661, 610, 1289, 630, 18891, 264, 476, 280, 4375, 268, 1911, 271, 269, 0, 288, 1007, 3864, 6611, 10837, 630, 2464, 288, 264, 14102, 1353, 786, 2119, 547, 3715, 519, 1870, 2013, 585, 4787, 14125, 267, 519, 23431, 2230, 7077, 6069, 676, 31472, 1621, 1149, 13456, 630, 24359, 264, 543, 6462, 676, 5177, 2229, 563, 14071, 616, 538, 2407, 1646, 540, 589, 686, 2033, 476, 276, 10933, 543, 723, 2907, 3323, 519, 1646, 540, 589, 686, 2033, 476, 277, 538, 18001, 589, 267, 855, 649, 723, 547, 1832, 938, 4064, 1930, 2223, 7325, 1470, 589, 2181, 320, 267, 30673, 779, 2930, 11464, 585, 519, 1007, 1353, 5143, 18917, 5240, 269, 968, 2252, 519, 4787, 14125, 6174, 6818, 930, 1554, 267, 621, 786, 581, 513, 3014, 7302, 9734, 585, 3025, 3034, 763, 4787, 14125, 2011, 1532, 805, 3107, 2599, 630, 306, 629, 516, 264, 1131, 5512, 519, 7077, 547, 1491, 1055, 267, 543, 2244, 593, 513, 3044, 2196, 12537, 1310, 12419, 31139, 538, 1970, 3047, 10739, 267, 1510, 1210, 7199, 3114, 31244, 269, 17939, 516, 568, 4867, 538, 1646, 1739, 7957, 24461, 2930, 5359, 689, 30673, 779, 27668, 4966, 269, 634, 24843, 272, 2929, 1353, 786, 2708, 4787, 14125, 779, 2009, 2344, 2671, 689, 519, 2038, 476, 1708, 271, 27477, 267, 7231, 849, 609, 930, 540, 519, 2930, 3390, 563, 15812, 670, 11391, 8688, 267, 23781, 779, 2104, 15961, 8689, 267, 5143, 18917, 5240, 912, 2108, 4263, 519, 1439, 540, 519, 1353, 649, 1131, 899, 547, 723, 7152, 519, 2407, 1870, 2013, 585, 606, 11346, 267, 945, 1197, 602, 1522, 581, 269, 898, 1131, 581, 606, 11346, 945, 814, 11751, 1079, 4787, 2643, 976, 267, 930, 5580, 3613, 1137, 267, 930, 824, 3937, 543, 13733, 856, 540, 918, 537, 709, 538, 3943, 2871, 10005, 269, 1284, 723, 513, 2344, 602, 568, 3989, 538, 519, 1496, 13231, 344, 316, 4170, 543, 938, 2832, 568, 547, 3313, 875, 1454, 2724, 713, 11346, 1223, 1118, 1848, 0, 306, 1817, 26937, 1737, 6830, 267, 1744, 11448, 267, 13573, 454, 306, 1817, 26937, 1737, 10783, 568, 513, 1631, 16162, 4310, 25044, 6830, 602, 729, 3710, 538, 519, 476, 5908, 271, 338, 547, 9856, 519, 13675, 547, 519, 774, 1868, 689, 694, 1987, 928, 4323, 269, 20472, 539, 1282, 513, 1974, 540, 8082, 609, 5333, 267, 621, 6763, 593, 519, 5045, 4871, 540, 519, 5757, 693 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 7170, 281, 834, 3849, 3286, 532, 2659, 645, 5390, 2193, 4858, 7719, 281, 589, 11822, 6651, 585, 8479, 20676, 1235, 5016, 290, 5670, 532, 568, 513, 1187, 543, 2635, 2534, 602, 1082, 3214, 2972, 269, 1717, 267, 621, 781, 1271, 547, 3314, 602, 3106, 2141, 2501, 1101, 950, 14964, 513, 17919, 269, 2290, 1898, 2460, 540, 4180, 707, 11332, 568, 2922, 547, 11878, 568, 1818, 2386, 519, 26039, 616, 2324, 5265, 269, 769, 713, 3184, 267, 649, 786, 1451, 827, 519, 1079, 1292, 2010, 540, 11332, 26039, 910, 5276, 26039, 543, 1167, 26039, 910, 543, 875, 547, 4188, 873, 865, 602, 789, 1599, 3927, 780, 4131, 781, 1376, 609, 5276, 26039, 269, 1452, 616, 849, 1634, 607, 1608, 23803, 26039, 267, 543, 789, 616, 519, 1034, 1455, 1826, 1336, 593, 1453, 781, 21891, 269, 1358, 2874, 540, 1079, 7916, 4448, 547, 513, 7406, 609, 12285, 21181, 602, 2046, 1996, 519, 8868, 678, 15501, 547, 3247, 519, 11332, 269, 3683, 942, 267, 891, 26039, 949, 1831, 10690, 610, 3765, 7955, 539, 267, 799, 1797, 789, 4465, 1405, 960, 607, 1134, 607, 789, 1058, 269, 18641, 267, 14577, 5276, 26039, 568, 5266, 2241, 780, 2414, 4188, 5276, 26039, 267, 1246, 891, 3268, 1384, 272, 269, 6744, 519, 9395, 1145, 540, 519, 10814, 281, 8293, 2465, 2763, 519, 20347, 682, 951, 16119, 269, 1403, 789, 1847, 1932, 1454, 1354, 16069, 519, 14743, 267, 1287, 519, 10814, 1522, 581, 1932, 10690, 269, 2422, 513, 530, 3402, 547, 2490, 519, 22902, 4188, 518, 630, 17141, 4092, 2282, 519, 20347, 11573, 264, 29628, 547, 9395, 523, 519, 10814, 563, 273, 269, 1325, 793, 519, 20347, 21181, 281, 5269, 2386, 519, 20347, 21181, 1694, 14961, 593, 2901, 2427, 540, 519, 26079, 269, 1411, 666, 798, 713, 676, 3138, 657, 2287, 519, 30021, 8066, 1142, 14950, 538, 1747, 267, 1065, 3789, 532, 873, 952, 2556, 267, 543, 1287, 1427, 697, 2287, 519, 31211, 563, 274, 269, 4741, 519, 20347, 7916, 281, 2060, 519, 8868, 1063, 519, 20347, 21181, 267, 25837, 519, 20347, 7916, 1927, 2394, 789, 5905, 519, 26079, 269, 3973, 267, 1247, 5329, 2604, 593, 519, 7916, 267, 9900, 7485, 519, 10814, 512, 2246, 543, 5150, 621, 538, 1747, 1210, 519, 32521, 30021, 269, 901, 5849, 602, 519, 20347, 7916, 616, 10704, 936, 519, 26079, 563, 275, 269, 4530, 519, 26039, 281, 7053, 267, 1491, 707, 11332, 585, 513, 8095, 1472, 519, 3625, 547, 1449, 856, 519, 1007, 5468, 269, 2142, 2386, 547, 4019, 9543, 3196, 547, 519, 20347, 682, 951, 693, 1101, 267, 7930, 2810, 2604, 2394, 596, 1745, 6899, 609, 741, 2773, 780, 3086, 1577, 781, 2911, 827, 1167, 26039, 269, 1452, 616, 811, 4122, 1336, 593, 2937, 21891, 267, 2523, 1346, 2966, 585, 1055, 268, 5802, 946, 269, 5502, 540, 10296, 1996, 519, 26079, 267, 1167, 26039, 17945, 5196, 513, 1507, 4496, 23301, 7923, 547, 519, 13398, 540, 519, 8868, 269, 2755, 1167, 26039, 3622, 2154, 1447, 5826, 982, 5276, 26039, 267, 789, 1869, 991, 17573, 25122, 909, 780, 2080, 781, 875, 547, 4188, 1167, 26039, 1384, 272, 269, 10753, 4923, 519, 32521, 30021, 281, 3689, 267, 12398, 519, 32521, 30021, 1141, 519, 20347, 10814, 13462, 547, 519, 1608, 23803, 269, 4635, 513, 530, 3402, 267, 3138, 4923, 519, 30021, 1175, 2614, 865, 602, 596, 666, 13472, 519, 10814, 998, 922, 8027, 563, 273, 269, 5590, 519, 7934, 281, 2201, 1034, 1167, 26039, 267, 972, 568, 513, 1507, 6885, 610, 18921, 593, 519, 1608, 23803, 1560, 602, 2982, 519, 2990, 540, 519, 20347, 21181, 3448, 547, 519, 23301, 269, 22391, 519, 10814, 1394, 543, 8521, 1247, 17065, 4506, 519, 20347, 11573, 547, 5447, 519, 21181, 1369, 713, 6885, 269, 27814, 267, 972, 1058, 581, 513, 6263, 2230, 630, 12671, 476, 272, 268, 273, 7825, 264, 1063, 519, 21181, 543, 519, 23301, 563, 274, 269, 570, 697, 523, 519, 32521, 30021, 281, 4495, 519, 21181, 616, 13988, 7157, 267, 3180, 519, 10814, 11931, 609, 726, 4536, 543, 9395, 523, 519, 32521, 30021, 1586, 1210, 513, 530, 3402, 563, 275, 269, 20963, 2389, 2317, 519, 8082, 281, 2991, 17516, 519, 10814, 267, 2638, 519, 20347, 11573, 585, 1697, 8082, 269, 12414, 519, 22902, 4188, 518, 2282, 519, 11573, 29628, 547, 2333, 8082, 610, 4831, 22018, 3772, 547, 6175, 621, 563, 276, 269, 19244, 607, 2877, 281, 1306, 609, 5276, 26039, 267, 1449, 519, 1167, 26039, 1310, 14577, 873, 269, 898, 1522, 1491, 1896, 13290, 547, 1205, 3388, 1175, 1318, 267, 865, 1810, 1405, 581, 27209, 952, 789, 1810, 1405, 1745, 3501, 693, 1101, 780, 8855, 267, 4509, 707, 11332, 781, 26039, 3884, 1405, 1152, 2629, 585, 6099, 2773, 282, 621, 1223, 4688, 596, 689, 1761, 10913, 1524, 519, 4155, 269, 1635, 1739, 891, 2241, 4808, 267, 596, 3513, 581, 2111, 547, 1832, 707, 3972, 344, 2848, 539, 4881, 12347, 543, 9108, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 6701, 596, 10478, 585, 875, 547, 4188, 11332, 26039, 286, 1703, 616, 1079, 2010, 540, 11332, 26039, 267, 5276, 543, 1167, 26039, 269, 12430, 20347, 568, 606, 2025, 2029, 855, 1167, 26039, 723, 19117, 519, 11332, 26039, 2344, 269, 4270, 267, 621, 1281, 711, 1611, 1167, 26039, 616, 3501, 543, 5276, 26039, 616, 711, 1434, 2614, 267, 930, 1004, 946, 5276, 26039, 1317, 789, 616, 2653, 547, 5372, 543, 4188, 269, 5637, 540, 891, 26039, 616, 1114, 689, 835, 1776, 269, 2913, 779, 1865, 519, 20347, 16369, 540, 1312, 540, 891, 26039, 835, 676, 835, 563, 1692, 1677, 17797, 645, 833, 4858, 7719, 888, 5575, 267, 6166, 2436, 519, 26039, 616, 28253, 610, 952, 596, 991, 547, 5372, 519, 26039, 269, 1403, 519, 26039, 616, 28253, 610, 972, 568, 930, 13337, 538, 519, 26039, 596, 666, 4368, 621, 269, 1809, 952, 519, 26039, 616, 1875, 14194, 3286, 762, 596, 3112, 11886, 707, 4305, 269, 17797, 532, 11332, 26039, 568, 711, 2182, 855, 513, 2370, 12161, 666, 25010, 782, 707, 3646, 563, 13010, 267, 14577, 11332, 26039, 568, 711, 513, 2182, 2816, 267, 14661, 26039, 1683, 2656, 3210, 543, 960, 7561, 269, 5047, 267, 891, 14661, 26039, 2327, 707, 3106, 269, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 769, 2221, 781, 3728, 19550, 1870, 1158, 267, 942, 2359, 814, 1831, 811, 2565, 982, 2479, 269, 20821, 902, 267, 2899, 2808, 606, 7533, 851, 540, 10647, 1870, 267, 723, 1631, 2097, 896, 22987, 1813, 547, 741, 1761, 547, 8532, 5318, 5666, 540, 942, 543, 2200, 269, 901, 3184, 786, 5490, 883, 519, 14960, 540, 5883, 11401, 3927, 547, 11694, 4398, 543, 7413, 729, 5653, 540, 3407, 942, 780, 20058, 267, 1577, 721, 2263, 519, 1523, 540, 5870, 8760, 269, 3502, 782, 11401, 616, 2813, 3160, 282, 789, 4196, 1114, 5301, 543, 1058, 581, 7307, 9935, 269, 16340, 569, 6340, 267, 1614, 2010, 540, 11401, 2291, 281, 1970, 7400, 267, 1164, 7400, 267, 543, 3765, 3250, 10389, 269, 8528, 20181, 7400, 11401, 616, 1419, 1031, 585, 22412, 908, 1344, 543, 26471, 4247, 269, 9717, 741, 10512, 2470, 267, 891, 19771, 3335, 4125, 7864, 3375, 24237, 543, 666, 1419, 581, 5342, 3533, 543, 7561, 269, 1358, 2154, 6297, 4058, 547, 2327, 602, 28752, 1174, 519, 16786, 267, 6859, 267, 543, 4397, 4093, 269, 1635, 3257, 865, 267, 971, 11401, 666, 1831, 5867, 585, 16268, 5188, 2864, 982, 6071, 10311, 780, 11947, 7400, 11401, 1445, 593, 7580, 5717, 827, 2754, 4287, 543, 1279, 3856, 3853, 269, 1452, 7886, 28173, 9488, 7041, 1317, 3664, 1500, 1934, 3648, 1764, 519, 3919, 781, 2104, 269, 4475, 267, 5171, 1590, 4628, 9787, 519, 2152, 693, 1688, 267, 2009, 3435, 267, 543, 4539, 269, 1677, 3986, 7145, 267, 2015, 21883, 840, 22345, 2326, 6619, 540, 942, 547, 7520, 5483, 4901, 780, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 301, 22022, 782, 4213, 7048, 593, 11401, 607, 606, 1898, 5057, 540, 741, 4238, 269, 8899, 7400, 11401, 616, 585, 22412, 908, 1344, 543, 15518, 908, 960, 269, 4400, 7400, 11401, 2356, 4125, 7234, 2754, 4287, 543, 1279, 3856, 3853, 269, 3973, 972, 616, 824, 3765, 3250, 10389, 11401, 602, 6445, 538, 519, 10616, 563, 2791, 3580, 5873, 1082, 8369, 593, 11401, 4470, 593, 945, 596, 2911, 547, 267, 855, 1034, 540, 873, 616, 2942, 269, 667, 559, 6975, 27977, 1093, 651, 1187, 693, 875, 11213, 543, 9997, 1606, 31902, 11401, 616, 269, 4634, 1870, 5707, 753, 899, 4432, 517, 30073, 267, 4460, 23162, 267, 543, 11518, 2142, 345, 657, 1265, 1034, 11401, 547, 581, 513, 5458, 7607, 20740, 543, 513, 3653, 540, 942, 563, 6701, 789, 1318, 888, 4002, 930, 1377, 267, 4440, 269, 1717, 267, 621, 5673, 7494, 593, 519, 1543, 543, 3483, 540, 1346, 11401, 269, 1403, 11401, 4125, 11991, 1004, 267, 32603, 1055, 1888, 267, 610, 1865, 1543, 602, 1223, 3362, 581, 3838, 3842, 4757, 610, 6215, 871, 267, 1287, 9811, 267, 789, 2693, 616, 513, 8963, 593, 2200, 543, 942, 563, 4002, 519, 824, 1688, 267, 952, 596, 2461, 5870, 609, 707, 2319, 547, 5721, 873, 607, 513, 1895, 267, 596, 685, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 11742, 5004, 257, 607, 851, 540, 834, 3918, 29052, 9970, 1315, 9608, 1299, 19750, 20929, 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, 8562, 639, 543, 9335, 13437, 910, 589, 2622, 540, 19196, 924, 618, 543, 13669, 550, 692, 5970, 596, 2479, 2938, 513, 2235, 639, 2773, 610, 8265, 5159, 6029, 1055, 741, 1983, 538, 513, 11112, 2749, 4009, 286, 1452, 12644, 616, 4904, 609, 10761, 267, 13007, 267, 543, 5876, 256, 2913, 781, 4685, 883, 713, 4241, 1158, 543, 1451, 811, 827, 621, 780, 288, 2235, 639, 568, 513, 2661, 9913, 2680, 602, 10905, 1114, 6411, 899, 1035, 13681, 18267, 267, 804, 578, 940, 267, 5104, 31227, 267, 543, 3662, 2982, 269, 12465, 2235, 4926, 1419, 1491, 1747, 538, 1804, 512, 757, 1572, 2462, 25568, 269, 1717, 267, 4207, 2235, 4926, 949, 2049, 538, 1585, 5468, 971, 607, 519, 11596, 543, 1256, 5026, 5749, 553, 269, 3509, 2413, 2235, 4926, 1445, 593, 1480, 905, 1846, 2864, 982, 1210, 2831, 1813, 547, 5683, 9270, 780, 3086, 1577, 781, 2911, 827, 8265, 2773, 269, 898, 568, 513, 1826, 540, 1148, 1141, 2043, 4159, 741, 15421, 538, 1857, 5624, 899, 11614, 267, 2427, 19789, 802, 267, 543, 10945, 547, 7038, 1780, 619, 2421, 269, 5871, 3029, 540, 8265, 2773, 1331, 15472, 267, 13465, 267, 9059, 15361, 267, 544, 830, 267, 543, 2713, 24112, 269, 20551, 2356, 7048, 593, 23190, 2016, 676, 3507, 894, 9458, 780, 3080, 2189, 2460, 540, 891, 12644, 568, 27906, 5314, 1107, 15268, 543, 2870, 13467, 593, 519, 5544, 2687, 547, 2139, 2230, 267, 5304, 6547, 267, 610, 6397, 3871, 269, 901, 15514, 2033, 640, 8591, 606, 3693, 540, 9983, 543, 26497, 602, 8952, 13588, 7722, 780, 5331, 1373, 513, 2235, 639, 610, 8265, 1685, 518, 282, 972, 1131, 2141, 581, 1945, 1007, 1169, 1554, 256, 1411, 1223, 2743, 1004, 689, 782, 15211, 540, 1272, 945, 2097, 1927, 1175, 547, 2972, 707, 1397, 269, 9578, 267, 1589, 827, 13215, 3579, 1983, 899, 5104, 31227, 3595, 8731, 2583, 610, 6972, 593, 588, 559, 1206, 2439, 4131, 781, 1413, 693, 930, 4277, 2010, 540, 2235, 639, 543, 8265, 12644, 1472, 519, 8608, 1384, 272, 269, 2878, 289, 23677, 619, 4995 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1635, 1620, 922, 10305, 543, 1655, 2853, 267, 596, 666, 3927, 8415, 519, 2999, 11575, 285, 3693, 547, 1459, 1239, 538, 513, 11617, 13267, 543, 3015, 6073, 593, 707, 1357, 3817, 269, 29923, 519, 6165, 540, 519, 2999, 11575, 285, 3693, 16877, 1357, 9367, 547, 1711, 6422, 543, 13181, 7515, 602, 3986, 519, 3593, 1995, 269, 1924, 267, 979, 6619, 267, 4603, 267, 543, 15407, 519, 1379, 540, 519, 2999, 11575, 285, 3693, 547, 2981, 707, 7515, 883, 3532, 1239, 6881, 2645, 563, 1432, 1281, 519, 2999, 11575, 285, 11090, 2099, 538, 14103, 888, 763, 2999, 11575, 285, 11090, 568, 606, 14103, 3693, 602, 4564, 513, 2582, 1591, 1369, 513, 3349, 269, 898, 568, 1031, 547, 5581, 543, 2497, 9184, 983, 1239, 593, 513, 1357, 2985, 563, 1692, 798, 594, 946, 519, 2999, 11575, 285, 11090, 538, 14103, 888, 2414, 946, 519, 2999, 11575, 285, 11090, 267, 596, 991, 547, 1331, 621, 1369, 513, 2999, 13700, 285, 630, 14456, 4737, 264, 3693, 269, 3962, 2999, 11575, 285, 3693, 4564, 513, 1591, 267, 543, 2789, 2281, 1711, 9343, 538, 513, 3349, 269, 1411, 666, 1747, 1543, 971, 607, 1257, 267, 2592, 267, 610, 824, 14103, 2609, 1369, 519, 2999, 11575, 285, 16776, 547, 1402, 3634, 519, 2281, 563, 1432, 10305, 666, 581, 1031, 609, 519, 2999, 11575, 285, 11090, 888, 763, 2999, 11575, 285, 11090, 7028, 1585, 10305, 602, 1450, 596, 547, 21160, 922, 2623, 543, 5920, 269, 2368, 4122, 1031, 10305, 1331, 912, 268, 897, 31078, 281, 10410, 5809, 519, 1297, 540, 9587, 513, 1591, 1058, 12732, 23276, 563, 268, 9343, 3966, 281, 4347, 1149, 519, 1297, 540, 9343, 513, 1591, 1058, 12732, 19794, 563, 268, 2212, 619, 281, 12878, 15935, 513, 2078, 1063, 519, 1591, 543, 519, 20927, 2281, 1210, 7222, 9517, 338, 563, 268, 4463, 267, 8700, 281, 10318, 1149, 519, 5227, 7516, 540, 519, 1591, 563, 268, 9165, 281, 10410, 5809, 2436, 519, 1591, 6411, 607, 513, 20927, 585, 513, 4737, 610, 6241, 563, 268, 1130, 793, 281, 6513, 338, 519, 7299, 12972, 540, 1257, 1369, 519, 1591, 563, 1432, 568, 519, 3483, 540, 519, 2999, 11575, 285, 11090, 888, 763, 3119, 3483, 540, 519, 2999, 11575, 285, 11090, 568, 547, 2099, 543, 10891, 1239, 1369, 513, 3349, 269, 898, 2337, 1711, 11295, 29282, 267, 3850, 596, 547, 1459, 1344, 538, 513, 9184, 983, 3898, 602, 568, 2653, 547, 1224, 543, 1174, 269, 634, 2999, 11575, 285, 11090, 568, 2629, 585, 2679, 1239, 7515, 267, 14499, 7515, 267, 16131, 267, 543, 824, 9184, 983, 11269, 593, 1357, 3817, 563, 4692, 594, 9566, 824, 14103, 2609, 1369, 513, 2999, 11575, 285, 11090, 888, 8133, 267, 596, 666, 9566, 824, 14103, 2609, 1369, 513, 2999, 11575, 285, 11090, 269, 901, 8112, 2636, 596, 547, 1331, 1585, 1543, 2010, 1369, 513, 3349, 1591, 269, 1280, 1383, 267, 596, 666, 1039, 26333, 630, 283, 327, 272, 285, 268, 283, 327, 277, 285, 1070, 9433, 630, 283, 335, 285, 1070, 6402, 630, 283, 320, 285, 1070, 2592, 630, 283, 19112, 285, 1070, 8638, 630, 283, 592, 285, 270, 283, 565, 285, 270, 283, 323, 331, 285, 1070, 610, 1256, 29005, 7515, 1369, 513, 2999, 11575, 285, 11090, 547, 1711, 1950, 543, 3638, 569, 30149, 7515, 563, 8139, 519, 3483, 543, 6165, 540, 519, 2999, 11575, 285, 11090, 2636, 596, 547, 3927, 2497, 543, 1459, 9184, 983, 1239, 593, 707, 1357, 3817, 267, 7393, 31824, 543, 3593, 1995, 563, 10287, 721, 593, 23749, 585, 811, 4030, 543, 10311, 269, 0, 25187, 568, 513, 1305, 540, 3652, 602, 1754, 985, 519, 2078, 1063, 1004, 543, 741, 10450, 269, 898, 568, 513, 1950, 543, 3818, 1922, 14239, 1641, 602, 7506, 1082, 3344, 540, 1272, 267, 1519, 6214, 267, 4346, 267, 1686, 543, 2486, 563, 299, 20235, 3652, 616, 3006, 1572, 29071, 543, 616, 2854, 676, 519, 2229, 267, 799, 949, 581, 538, 519, 1106, 540, 513, 11156, 267, 513, 14097, 610, 606, 957, 540, 14618, 269, 1358, 666, 849, 581, 512, 659, 527, 11650, 602, 31391, 2924, 543, 616, 11006, 593, 3025, 538, 513, 2016, 2146, 610, 2486, 563, 288, 4341, 666, 581, 513, 2489, 3391, 547, 7180, 610, 621, 666, 581, 1808, 543, 2143, 269, 1280, 1383, 267, 649, 917, 602, 621, 568, 10363, 547, 3432, 513, 1286, 543, 621, 568, 513, 18670, 540, 519, 1876, 547, 2736, 519, 2474, 540, 606, 6876, 1500, 609, 513, 3659, 563, 20118, 267, 930, 4031, 616, 24080, 7608, 543, 4019, 2066, 519, 2898, 1158, 282, 1866, 723, 1100, 31675, 3544, 741, 2197, 540, 5169, 543, 616, 1152, 2500, 538, 1808, 6381, 610, 2175, 269, 1452, 1331, 267, 585, 3236, 267, 519, 3741, 540, 561, 2851, 543, 1434, 5132, 602, 666, 581, 4294, 676, 782, 10470, 538, 513, 2197, 547, 2061, 606, 15490, 5413, 1373, 6591, 998, 513, 5480, 1062, 267, 543, 759, 4140, 545, 1092, 543, 824, 16324, 3664, 799, 616, 11006, 593, 2539, 10470, 547, 2327, 2147, 2665, 3914, 2147, 2164, 563, 1103, 1840, 547, 891, 2596, 3741, 267, 972, 616, 1082, 824, 4031, 799, 616, 1808, 547, 1978, 4610, 540, 2534, 269, 2368, 1806, 616, 18229, 1876, 799, 9388, 609, 6042, 543, 4441, 10858, 547, 10760, 8484, 282, 1920, 1876, 799, 3322, 519, 4027, 540, 1453, 267, 543, 3959, 1876, 799, 21560, 9562, 543, 15896, 540, 2244, 543, 824, 7221, 563, 8448, 2010, 540, 1876, 616, 1644, 547, 519, 7939, 540, 2238, 971, 607, 1648, 267, 1216, 543, 26313, 269, 1452, 2127, 616, 1631, 1373, 3144, 936, 676, 4357, 3549, 267, 855, 723, 12926, 1044, 14931, 538, 930, 1259, 676, 519, 1533, 563, 8802, 1637, 540, 1870, 12602, 568, 513, 1883, 851, 540, 1876, 607, 621, 5849, 602, 4213, 616, 9117, 9425, 543, 19100, 538, 741, 4238, 269, 901, 2882, 513, 2039, 540, 3800, 971, 607, 5934, 4441, 593, 875, 1454, 3854, 8492, 1590, 3180, 543, 3652, 827, 1655, 2259, 585, 5092, 267, 547, 1202, 675, 1996, 2104, 2804, 6433, 563, 4322, 666, 581, 1360, 1271, 607, 789, 616, 1419, 519, 1152, 1797, 585, 3549, 547, 9156, 9271, 11124, 1282, 12424, 687, 267, 543, 547, 2057, 3441, 547, 519, 10639, 540, 741, 1870, 269, 1358, 666, 849, 1860, 519, 1377, 540, 9204, 602, 3549, 1590, 2628, 267, 543, 865, 616, 513, 2101, 3815, 538, 8159, 741, 2883, 1072, 563, 25187, 568, 606, 1271, 2460, 540, 1514, 1272, 267, 607, 621, 6087, 1004, 547, 1118, 513, 3409, 585, 13180, 610, 14796, 950, 789, 723, 1044, 8697, 610, 11124, 5945, 676, 1776, 1268, 779, 3527, 269, 8409, 945, 3142, 971, 6811, 949, 798, 865, 538, 2901, 3540, 610, 7803, 10470, 543, 666, 3094, 513, 27779, 676, 18445, 519, 24769, 19500, 24648, 958, 610, 24407, 569, 538, 4929, 873, 2800, 563, 1103, 1840, 547, 922, 4052, 3498, 267, 621, 814, 513, 2178, 3310, 593, 2486, 543, 568, 513, 2629, 3693, 540, 519, 8647, 540, 2413, 2829, 269, 901, 814, 1044, 3226, 3020, 1282, 519, 2413, 5736, 540, 4853, 5314, 543, 519, 2208, 540, 5010, 4690, 267, 799, 723, 2799, 519, 991, 585, 7939, 543, 23388, 269, 901, 814, 849, 3366, 547, 519, 11944, 540, 1007, 10459, 267, 971, 607, 2797, 15257, 543, 3656, 15257, 267, 799, 8495, 1876, 779, 3310, 593, 2486, 543, 875, 621, 568, 2813, 269, 0, 763, 7577, 540, 13749, 619, 631, 4193, 23875, 1809, 1548, 24439, 585, 4256, 3933, 30496, 454, 299, 665, 651, 543, 594, 281, 3487, 476, 274, 454, 16676, 4240, 689, 28676, 543, 594, 281, 3487, 476, 273, 454, 2108, 314, 288, 316, 338, 782, 1919, 602, 616, 1434, 538, 713, 957, 267, 519, 7577, 540, 13749, 619, 2247, 532, 4986, 538, 621, 855, 1018, 2306, 585, 741, 26771, 3034, 11990, 28676, 630, 15433, 274, 994, 2691, 594, 1572, 3627, 28676, 519, 1739, 1554, 646, 729, 1454, 811, 28292, 982, 646, 729, 538, 938, 3105, 7391, 563, 2108, 14187, 6640, 589, 21119, 267, 594, 6557, 865, 19914, 596, 1572, 1394, 2223, 646, 1767, 950, 646, 12943, 519, 6049, 269, 968, 7312, 3137, 827, 7457, 14645, 779, 5767, 7575, 1450, 803, 547, 1376, 1818, 2631, 540, 621, 269, 1809, 596, 1869, 723, 547, 2491, 547, 803, 1018, 596, 5921, 950, 596, 1767, 602, 7457, 14645, 3884, 1406, 513, 3339, 30049, 626, 267, 543, 1946, 621, 3085, 1406, 13789, 899, 835, 3034, 2108, 293, 1515, 2614, 2223, 594, 1767, 269, 968, 2691, 594, 2161, 2048, 320, 3339, 30049, 626, 685, 594, 1611, 513, 11327, 30049, 626, 267, 12077, 513, 30049, 626, 945, 23619, 5370, 610, 2533, 602, 6800, 2965, 1265, 3407, 269, 634, 30049, 626, 779, 1587, 949, 581, 936, 335, 878, 539, 267, 543, 3976, 3564, 519, 3914, 540, 930, 6800, 267, 855, 621, 568, 1869, 3407, 269, 634, 7443, 602, 713, 30049, 626, 1274, 985, 949, 1331, 513, 24101, 571, 16327, 564, 1438, 10519, 267, 855, 621, 568, 1869, 6508, 689, 519, 1871, 540, 922, 1587, 269, 1717, 267, 1100, 2339, 875, 5150, 922, 2344, 17282, 568, 267, 513, 3339, 30049, 626, 3112, 3196, 6800, 547, 4444, 513, 1587, 602, 789, 1810, 1406, 991, 267, 610, 3196, 873, 547, 2628, 513, 3902, 602, 20489, 519, 1871, 602, 789, 17589, 689, 519, 1587, 269, 3117, 28366, 6849, 513, 3339, 30049, 626, 2141, 723, 519, 4781, 540, 3257, 1510, 267, 610, 5275, 2034, 1532, 652, 8925, 563, 1607, 10522, 602, 513, 3339, 30049, 626, 3112, 3274, 2333, 922, 7443, 676, 7683, 9870, 519, 3902, 269, 15332, 513, 1978, 1448, 811, 543, 811, 6800, 786, 1904, 13050, 543, 798, 1510, 267, 543, 1007, 15712, 1522, 1256, 1265, 7127, 547, 519, 2344, 811, 10694, 269, 4475, 267, 513, 3339, 30049, 626, 945, 568, 5461, 538, 2810, 922, 7443, 3564, 519, 1699, 1377, 666, 798, 835, 540, 1614, 1919, 281, 621, 666, 2087, 519, 4398, 540, 922, 2504, 1184, 267, 621, 666, 2087, 922, 1587, 543, 2333, 6800, 685, 18515, 547, 2628, 585, 621, 267, 610, 621, 666, 1902, 538, 10519, 5498, 22701, 547, 2569, 6735, 543, 2061, 7127, 269, 1717, 267, 621, 3112, 7683, 798, 782, 540, 891, 8195, 269, 634, 811, 2200, 519, 30049, 626, 22939, 593, 10519, 5498, 22701, 519, 7864, 2200, 621, 666, 6108, 593, 4509, 610, 5355, 922, 11327, 2534, 267, 543, 13030, 17930, 269, 769, 824, 1913, 267, 585, 513, 11327, 30049, 626, 267, 10519, 5498, 22701, 14122, 606, 2810, 4316, 1942, 3034, 2108, 7617, 1797, 602, 513, 11327, 30049, 626, 786, 711, 11694, 922, 10519, 5498, 22701, 3646, 547, 741, 2407, 652, 6708, 2223, 28676, 1767, 267, 11264, 519, 7778, 563, 2108, 2750, 18075, 2223, 594, 1767, 563, 28317, 3620, 320, 267, 855, 7457, 14645, 786, 267, 1317, 621, 3884, 1406, 513, 11327, 30049, 626, 267, 865, 621, 3085, 1406, 3068, 519, 1482, 4316, 1942, 543, 4061, 814, 1454, 1447, 547, 6336, 2223, 646, 4797, 563, 2108, 28557, 2223, 594, 9672, 563, 2108, 3719, 7227, 267, 1946, 616, 596, 6031, 602, 7457, 14645, 568, 711, 11327, 286, 2991, 782, 267, 621, 1281, 2099, 4589, 543, 21101, 267, 945, 616, 267, 676, 4214, 267, 11327, 543, 3860, 3034, 2108, 14187, 2243, 267, 3627, 2223, 594, 1264, 7757, 1864, 630, 523, 2809, 532, 519, 4316, 547, 1521, 519, 1390, 14544, 899, 513, 2875, 1040, 968, 2005, 779, 3020, 602, 7457, 14645, 4564, 930, 15888, 267, 855, 607, 606, 3919, 621, 568, 711, 11327, 693, 782, 269, 9521, 922, 2278, 2818, 267, 621, 814, 2760, 3812, 4376, 3860, 540, 922, 1378, 3034, 2108, 2791, 1611, 4376, 4849, 602, 2048, 290, 2194, 664, 14645, 685, 18259, 892, 28676, 1767, 26878, 16484, 563, 14071, 3580, 2285, 873, 602, 835, 2223, 594, 598, 1027, 539, 269, 968, 4517, 649, 666, 1039, 930, 540, 922, 2923, 13847, 602, 4866, 547, 519, 5708, 9135, 267, 855, 602, 779, 782, 3034, 2108, 4517, 7429, 922, 17404, 2818, 621, 1281, 711, 3132, 1022, 3773, 1871, 547, 1568, 540, 4589, 1222, 269, 898, 1281, 711, 1685, 1022, 1543, 5542, 543, 2298, 1852, 3252, 267, 621, 1281, 711, 6582, 9263, 21623, 540, 1568, 610, 1196, 1080, 873, 269, 898, 1281, 711, 1256, 15814, 1568, 610, 1820, 873, 267, 610, 1683, 3593, 7888, 2533, 585, 17034, 873, 2223, 646, 4797, 563, 2108, 8133, 2223, 594, 14452, 269, 968, 2467, 1522, 723, 1044, 513, 942, 950, 621, 1185, 1044, 2111, 547, 2709, 27121, 1765, 15290, 3283, 616, 2877, 1765, 3467, 7561, 982, 922, 1367, 2818, 1223, 269, 1809, 952, 1346, 2395, 2479, 11478, 267, 1631, 789, 616, 5693, 8854, 269, 1879, 27121, 616, 2877, 267, 1034, 540, 922, 2818, 2709, 873 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3447, 622, 3755, 281, 3447, 622, 3755, 827, 1018, 13054, 30378, 267, 519, 1764, 621, 814, 593, 9601, 267, 543, 519, 3656, 29298, 780, 273, 269, 18554, 1543, 281, 4317, 2923, 5867, 991, 547, 723, 513, 5464, 1062, 538, 1747, 602, 666, 11571, 585, 29880, 1543, 538, 519, 1106, 540, 1257, 267, 2592, 267, 610, 7044, 780, 274, 269, 10925, 3800, 538, 1747, 547, 1867, 281, 1703, 1058, 581, 513, 2312, 543, 2653, 1259, 585, 3755, 547, 1867, 1022, 1106, 540, 6057, 610, 30378, 789, 7237, 780, 275, 269, 11559, 3755, 547, 1867, 281, 11559, 3755, 547, 2097, 4464, 950, 789, 1745, 789, 616, 1373, 13032, 1221, 267, 1577, 873, 917, 741, 5359, 616, 3144, 12517, 543, 15260, 675, 873, 540, 26687, 640, 780, 276, 269, 2037, 4403, 513, 3009, 540, 2932, 281, 4317, 2923, 5867, 1058, 723, 513, 2854, 3009, 540, 2932, 602, 10238, 1080, 30378, 267, 543, 19374, 1058, 581, 3144, 12517, 543, 9619, 16425, 780, 277, 269, 3629, 2200, 281, 20644, 2200, 547, 1346, 4299, 676, 30378, 267, 971, 607, 2228, 1489, 2516, 267, 927, 680, 1149, 267, 513, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269, 0, 4495, 2390, 513, 942, 267, 538, 519, 14297, 2749, 540, 28641, 267, 5030, 513, 2186, 24649, 3957, 19158, 11446, 3780, 269, 19158, 11446, 3780, 6068, 1565, 827, 519, 1158, 1472, 1864, 543, 4687, 891, 13300, 609, 3025, 646, 1558, 269, 2290, 1554, 267, 1247, 6972, 676, 519, 5757, 267, 19158, 11446, 3780, 4718, 1010, 3659, 18379, 629, 267, 513, 8797, 2025, 10196, 267, 2324, 593, 606, 4603, 780, 257, 292, 2993, 629, 256, 1548, 616, 596, 3257, 8119, 4280, 19158, 11446, 3780, 8049, 569, 780, 292, 2993, 629, 14452, 267, 834, 296, 993, 4974, 875, 1114, 2326, 2746, 950, 6404, 1927, 1701, 1306, 789, 14478, 267, 930, 6878, 5916, 12347, 267, 899, 7912, 543, 1216, 267, 1247, 1866, 4646, 5094, 6106, 267, 971, 607, 3282, 543, 16693, 269, 901, 17275, 513, 6643, 1063, 519, 1079, 2828, 827, 23399, 543, 3435, 780, 306, 19488, 267, 1776, 5639, 29169, 741, 4901, 269, 898, 729, 589, 686, 639, 267, 513, 4116, 1634, 585, 1010, 11786, 2093, 269, 834, 15916, 267, 19158, 11446, 3780, 543, 18379, 629, 2437, 646, 1767, 14229, 1359, 569, 269, 834, 296, 4862, 707, 2370, 10004, 269, 1411, 3717, 540, 1919, 11544, 12347, 267, 2943, 3111, 547, 5431, 602, 4906, 3112, 581, 1312, 10143, 543, 1480, 1107, 1346, 562, 2137, 798, 711, 3575, 15323, 17951, 518, 1134, 539, 909, 3330, 19158, 11446, 3780, 269, 1215, 1223, 2576, 20912, 519, 5168, 827, 4906, 286, 1809, 3079, 540, 561, 4770, 856, 267, 19158, 11446, 3780, 3576, 513, 2620, 7362, 543, 9350, 569, 6045, 267, 834, 9617, 899, 875, 1978, 6878, 666, 9192, 547, 1106, 513, 3070, 267, 4906, 267, 1932, 267, 814, 1079, 3982, 562, 2137, 602, 30598, 32069, 269, 3571, 8103, 543, 2820, 6541, 1810, 1405, 2258, 622, 1142, 824, 282, 2864, 267, 789, 9148, 835, 1776, 3010, 8601, 19158, 11446, 3780, 262, 3461, 7778, 267, 589, 686, 639, 15189, 547, 6432, 269, 19759, 569, 267, 19158, 11446, 3780, 6785, 602, 1082, 1004, 941, 1373, 3765, 1194, 676, 589, 686, 639, 262, 7301, 10752, 269, 1924, 267, 646, 4956, 547, 2328, 543, 840, 778, 24091, 267, 21108, 519, 3020, 2470, 540, 4906, 543, 5587, 4328, 3621, 3741, 2059, 519, 1259, 780, 4263, 519, 1390, 11018, 1572, 519, 7027, 540, 12832, 2801, 320, 267, 19158, 11446, 3780, 11542, 6109, 1996, 519, 11685, 267, 4180, 602, 519, 3020, 1620, 540, 4906, 7173, 9229, 269, 1717, 267, 1256, 1310, 713, 11802, 267, 19158, 11446, 3780, 5185, 1082, 23434, 1813, 547, 1010, 26772, 18879, 269, 1656, 865, 267, 519, 6397, 6335, 3357, 950, 19158, 11446, 3780, 7691, 602, 3006, 267, 7555, 909, 585, 1018, 568, 1318, 949, 1291, 547, 2123, 9620, 267, 855, 6038, 5012, 547, 513, 6793, 24235, 538, 835, 781, 3661, 1062, 269, 3414, 621, 782, 267, 19158, 11446, 3780, 2760, 5951, 1042, 538, 1010, 20174, 547, 8497, 519, 13597, 540, 8567, 543, 5009, 3280, 3621, 1702, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 18658, 729, 19158, 11446, 3780, 262, 5114, 547, 519, 15784, 4478, 589, 686, 639, 543, 519, 2470, 540, 2441, 888, 288, 628, 11446, 3780, 267, 945, 729, 519, 21674, 540, 28641, 267, 1654, 515, 618, 569, 10353, 589, 686, 639, 543, 1010, 10752, 267, 799, 17792, 519, 2820, 6541, 540, 4906, 2441, 269, 1261, 5156, 602, 4906, 729, 4628, 2696, 543, 4628, 1480, 267, 543, 602, 1022, 14207, 593, 713, 1448, 1131, 24183, 519, 3003, 4168, 5132, 269, 19158, 11446, 3780, 29846, 1010, 4978, 998, 3875, 12591, 543, 18531, 267, 543, 646, 5129, 513, 1883, 1909, 538, 5935, 519, 6364, 540, 519, 7027, 540, 12832, 2801, 320, 538, 476, 23283, 5084, 267, 799, 18005, 10294, 519, 2820, 6541, 540, 4906, 2441, 269, 6736, 6849, 1896, 608, 3796, 543, 30201, 1903, 267, 19158, 11446, 3780, 7283, 32344, 538, 1010, 4978, 543, 4797, 547, 9718, 519, 31249, 4168, 5132, 2429, 1010, 1272, 14325, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269, 0, 1012, 4197, 4762, 4288, 4223, 4631, 543, 7844, 16214, 692, 1103, 713, 1770, 267, 649, 786, 2263, 875, 547, 6218, 519, 2773, 540, 1114, 3684, 1565, 3631, 1210, 10539, 14290, 543, 6111, 8464, 780, 2162, 1548, 568, 513, 4762, 4288, 19336, 2496, 288, 10539, 5119, 568, 513, 3349, 602, 26564, 519, 2773, 540, 513, 3684, 1565, 2203, 269, 898, 568, 1572, 513, 10539, 5119, 1317, 621, 666, 1397, 1018, 2010, 540, 6959, 616, 1373, 1500, 676, 519, 2203, 269, 634, 5119, 3294, 568, 5266, 2241, 267, 9967, 540, 2185, 2609, 1384, 268, 6936, 30142, 14476, 630, 9143, 2567, 1452, 616, 2665, 538, 799, 649, 10567, 9811, 630, 16269, 723, 519, 2783, 1070, 543, 789, 798, 723, 519, 2783, 563, 268, 6936, 10598, 2510, 630, 307, 301, 2567, 1284, 10567, 1100, 267, 543, 789, 1810, 1405, 723, 519, 2783, 563, 268, 8771, 30142, 14476, 630, 17025, 2567, 1284, 10567, 9811, 267, 855, 789, 1810, 1405, 2965, 723, 519, 2783, 269, 630, 9827, 1634, 607, 513, 834, 13911, 594, 5470, 23528, 268, 8771, 10598, 2510, 630, 293, 301, 2567, 1284, 10567, 1100, 267, 855, 789, 2965, 798, 723, 519, 2783, 269, 630, 9827, 1634, 607, 513, 834, 13911, 4083, 5470, 1701, 2020, 2080, 781, 1018, 513, 10539, 5119, 5654, 899, 1384, 16465, 17961, 21421, 8679, 9143, 1299, 674, 303, 8607, 454, 293, 301, 1299, 570, 301, 454, 17910, 21421, 8679, 9681, 2162, 1215, 547, 12433, 6452, 5596, 2496, 16914, 5596, 568, 513, 1455, 11973, 1031, 547, 6218, 519, 2773, 540, 513, 3684, 1565, 2203, 269, 898, 568, 7229, 607, 519, 2040, 540, 3020, 1064, 14476, 543, 3020, 2258, 2510, 5258, 676, 519, 2698, 1297, 540, 2665, 780, 16465, 20728, 346, 16914, 5596, 348, 815, 1422, 2765, 346, 9143, 1341, 570, 301, 2410, 9143, 1341, 570, 301, 1341, 674, 303, 1341, 674, 301, 8679, 9681, 2162, 5124, 8943, 585, 7844, 16214, 692, 4131, 781, 2161, 649, 723, 2185, 3684, 1565, 3631, 281, 3026, 11732, 2578, 5514, 267, 476, 274, 9539, 301, 267, 15932, 11206, 267, 543, 25789, 300, 269, 1284, 723, 2907, 8036, 891, 3631, 543, 1631, 649, 1616, 547, 6218, 741, 2773, 1210, 6111, 8464, 543, 10539, 14290, 780, 5575, 267, 649, 991, 547, 1104, 519, 2556, 8021, 1384, 3499, 7090, 454, 5814, 11885, 607, 5286, 454, 5228, 28189, 269, 5471, 7879, 1104, 10539, 24624, 454, 7884, 9202, 267, 649, 5173, 519, 6111, 8464, 585, 1142, 2203, 1384, 3499, 7090, 454, 258, 6111, 8464, 454, 802, 14537, 815, 5173, 318, 3147, 5596, 263, 743, 325, 272, 994, 337, 16557, 815, 5173, 318, 3147, 5596, 263, 743, 325, 273, 994, 1087, 14537, 815, 5173, 318, 3147, 5596, 263, 743, 325, 274, 2020, 2745, 2891, 15862, 3026, 11732, 2578, 5514, 567, 2433, 4939, 271, 269, 273, 325, 257, 4939, 737, 16557, 994, 2745, 2891, 15862, 476, 274, 9539, 301, 25639, 2433, 4939, 271, 269, 273, 325, 257, 4939, 678, 16557, 994, 2745, 2891, 15862, 15932, 11206, 8587, 2433, 4939, 271, 269, 273, 325, 257, 4939, 521, 16557, 994, 2745, 2891, 15862, 25789, 300, 3546, 2433, 4939, 271, 269, 273, 325, 257, 4939, 521, 16557, 994, 2745, 4590, 7884, 1103, 519, 3009, 1657, 267, 2387, 743, 325, 272, 12452, 2387, 743, 325, 273, 12452, 2387, 743, 325, 274, 12452, 543, 2387, 743, 325, 275, 319, 616, 519, 8036, 3631, 267, 543, 2387, 20412, 622, 318, 3147, 5596, 319, 568, 513, 1599, 602, 3217, 513, 2203, 607, 3403, 543, 7024, 922, 6111, 6060, 780, 9202, 267, 649, 5173, 519, 10539, 14290, 585, 1142, 2203, 1384, 3499, 7090, 454, 258, 10539, 14290, 454, 322, 333, 815, 10539, 24624, 263, 743, 325, 271, 267, 1535, 15305, 267, 586, 15305, 994, 1188, 815, 10539, 24624, 263, 743, 325, 272, 267, 1535, 15305, 267, 586, 15305, 994, 13062, 815, 10539, 24624, 263, 743, 325, 273, 267, 1535, 15305, 267, 586, 15305, 994, 14369, 815, 10539, 24624, 263, 743, 325, 274, 267, 1535, 15305, 267, 586, 15305, 994, 7884, 1103, 519, 3009, 1657, 267, 2387, 343, 15305, 319, 543, 2387, 344, 15305, 319, 616, 519, 1449, 1239, 543, 1449, 10297, 267, 6606, 780, 2171, 1287, 3339, 1125, 519, 10539, 14290, 865, 602, 1142, 4737, 18304, 547, 476, 1911, 269, 901, 2306, 621, 4443, 547, 4612, 519, 2164, 1384, 3499, 7090, 454, 322, 333, 815, 476, 1911, 269, 271, 265, 322, 333, 1315, 524, 333, 27904, 263, 9471, 284, 272, 994, 1188, 815, 476, 1911, 269, 271, 265, 1188, 1315, 524, 330, 27904, 263, 9471, 284, 272, 994, 13062, 815, 476, 1911, 269, 271, 265, 13062, 1315, 1835, 27904, 263, 9471, 284, 272, 994, 14369, 815, 476, 1911, 269, 271, 265, 14369, 1315, 524, 338, 27904, 263, 9471, 284, 272, 994, 7884, 7661, 267, 649, 1820, 519, 28348, 10539, 14290, 1384, 3499, 7090, 454, 12639, 15630, 318, 2745, 9953, 687, 4433, 6269, 816, 18989, 994, 2745, 4590, 2745, 2891, 15862, 3026, 11732, 2578, 5514, 281, 5602, 2745, 18828, 15126, 273, 11415, 6262, 333, 267, 8856, 284, 272, 267, 10581, 332, 1712, 6889, 325, 12089, 27363, 2745, 4590, 2745, 2891, 15862, 476, 274, 9539, 301, 281, 5602, 2745, 18828, 15126, 273, 11415, 263, 1188, 267, 8856, 284, 272, 267, 10581, 332, 1712, 6889, 325, 12089, 27363, 2745, 4590, 2745, 2891, 15862, 15932, 11206, 281, 5602, 2745, 18828, 15126, 273, 11415, 6262, 337, 267, 8856, 284, 272, 267, 10581, 332, 1712, 6889, 325, 12089, 27363, 2745, 4590, 2745, 2891, 15862, 25789, 300, 281, 5602, 2745, 18828, 15126, 273, 11415, 6262, 338, 267, 8856, 284, 272, 267, 10581, 332, 1712, 6889, 325, 12089, 27363, 2745, 4590, 7884, 1103, 519, 3009, 1657, 267, 2387, 12639, 15630, 318, 2745, 9953, 687, 4433, 6269, 816, 18989, 23375, 568, 1031, 547, 16401, 519, 946, 540, 3621, 10035, 950, 8228, 519, 14249, 780, 2162, 3955, 31147, 519, 11778, 692, 763, 6111, 8464, 2285, 721, 513, 2656, 2856, 540, 875, 1134, 1142, 2203, 568, 7900, 269, 634, 2362, 519, 6111, 267, 519, 1732, 519, 2203, 780, 763, 10539, 14290, 2285, 721, 811, 2143, 1344, 827, 519, 2010, 540, 6959, 519, 3631, 616, 1818, 269, 1280, 1383, 267, 952, 513, 2203, 814, 513, 1164, 1297, 540, 7301, 1064, 14476, 267, 621 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 8618, 4846, 547, 7273, 10227, 1789, 269, 21916, 11011, 2008, 347, 1724, 269, 7830, 4846, 547, 7273, 10227, 1789, 269, 271, 2918, 9834, 2008, 347, 1724, 269, 8287, 4846, 547, 7273, 10227, 1789, 269, 271, 5392, 4905, 2008, 347, 1724, 269, 5038, 4846, 547, 7273, 10227, 1789, 269, 5881, 272, 4962, 2008, 347, 1724, 269, 4792, 4846, 547, 7273, 10227, 1789, 269, 6021, 274, 1015, 2008, 347, 1724, 269, 5780, 4846, 547, 7273, 10227, 1789, 269, 12893, 1691, 2008, 347, 1724, 269, 6858, 4846, 547, 7273, 10227, 1789, 269, 15389, 866, 2008, 347, 1724, 269, 6924, 4846, 547, 7273, 10227, 1789, 269, 14689, 2190, 2008, 347, 1724, 269, 7597, 4846, 547, 7273, 10227, 1789, 269, 8687, 2764, 2008, 347, 1724, 269, 278, 4846, 547, 7273, 10227, 1789, 269, 10711, 3451, 2008, 347, 1724, 269, 10170, 4846, 547, 7273, 10227, 1789, 269, 18597, 4343, 2008, 347, 1724, 269, 7761, 4846, 547, 7273, 10227, 1789, 269, 26316, 5655, 2008, 347, 1724, 269, 10463, 4846, 547, 7273, 10227, 1789, 269, 29483, 5325, 2008, 347, 1724, 269, 10619, 4846, 547, 7273, 10227, 1789, 269, 29720, 7906, 2008, 347, 1724, 269, 4037, 4846, 547, 7273, 10227, 1789, 269, 27123, 6321, 2008, 347, 1724, 269, 10602, 4846, 547, 7273, 10227, 1789, 269, 28178, 8618, 2008, 347, 1724, 269, 6507, 4846, 547, 7273, 10227, 1789, 269, 3374, 278, 4792, 2008, 347, 1724, 269, 4281, 4846, 547, 7273, 10227, 1789, 269, 4391, 280, 3583, 2008, 347, 1724, 269, 8064, 4846, 547, 7273, 10227, 1789, 269, 25002, 4037, 2008, 347, 1724, 269, 279, 4846, 547, 7273, 10227, 1789, 269, 275, 2537, 8064, 2008, 347, 1724, 269, 10037, 4846, 547, 7273, 10227, 1789, 269, 275, 3393, 10019, 2008, 347, 1724, 269, 11025, 4846, 547, 7273, 10227, 1789, 269, 5379, 278, 6434, 2008, 347, 1724, 269, 10695, 4846, 547, 7273, 10227, 1789, 269, 4366, 280, 11152, 2008, 347, 1724, 269, 10019, 4846, 547, 7273, 10227, 1789, 269, 276, 1556, 7176, 2008, 347, 1724, 269, 5952, 4846, 547, 7273, 10227, 1789, 269, 276, 4097, 6349, 2008, 347, 1724, 269, 10436, 4846, 547, 7273, 10227, 1789, 269, 4649, 277, 5881, 2008, 347, 1724, 269, 9262, 4846, 547, 7273, 10227, 1789, 269, 276, 4281, 1321, 2008, 347, 1724, 269, 6434, 4846, 547, 7273, 10227, 1789, 269, 7785, 1626, 2008, 347, 1724, 269, 8660, 4846, 547, 7273, 10227, 1789, 269, 25118, 2641, 2008, 347, 1724, 269, 280, 4846, 547, 7273, 10227, 1789, 269, 277, 4510, 1839, 2008, 347, 1724, 269, 11011, 4846, 547, 7273, 10227, 1789, 269, 26116, 1789, 2008, 347, 1724, 269, 10844, 4846, 547, 7273, 10227, 1789, 269, 277, 6434, 3374, 2008, 347, 1724, 269, 11152, 4846, 547, 7273, 10227, 1789, 269, 278, 1015, 4375, 2008, 347, 1724, 269, 11463, 4846, 547, 7273, 10227, 1789, 269, 278, 3953, 4510, 2008, 347, 1724, 269, 4817, 4846, 547, 7273, 10227, 1789, 269, 4037, 275, 5392, 2008, 347, 1724, 269, 9834, 4846, 547, 7273, 10227, 1789, 269, 6507, 277, 7871, 2008, 347, 1724, 269, 9032, 4846, 547, 7273, 10227, 1789, 269, 278, 7176, 6812, 2008, 347, 1724, 269, 7176, 4846, 547, 7273, 10227, 1789, 269, 279, 736, 7830, 2008, 347, 1724, 269, 4200, 4846, 547, 7273, 10227, 1789, 269, 279, 5655, 6858, 2008, 347, 1691, 4846, 547, 7273, 10227, 1789, 269, 279, 5038, 7761, 347, 0, 5445, 948, 2491, 2376, 2196, 538, 930, 17476, 630, 1015, 1040, 21642, 6345, 593, 519, 8122, 912, 4913, 267, 24076, 666, 1775, 1265, 513, 2985, 609, 1022, 2186, 540, 7778, 1946, 267, 543, 519, 2262, 2452, 3085, 1405, 3100, 5612, 6654, 563, 23737, 30573, 23319, 476, 280, 5022, 269, 24090, 2685, 1164, 1297, 540, 1296, 547, 723, 5030, 30573, 23319, 281, 1280, 1346, 540, 596, 711, 1031, 547, 713, 3898, 540, 30573, 23319, 267, 519, 2338, 538, 24324, 5815, 875, 1082, 1913, 616, 538, 519, 2626, 543, 875, 1082, 5022, 1142, 2262, 3568, 269, 9320, 1776, 6939, 545, 27423, 593, 713, 3135, 949, 723, 563, 2252, 596, 2811, 1869, 10093, 1405, 12193, 519, 30573, 23319, 2491, 1287, 1946, 711, 3406, 938, 6538, 676, 519, 5022, 596, 723, 2907, 256, 14271, 11618, 543, 1727, 657, 2572, 616, 1031, 547, 15545, 2334, 781, 1946, 789, 666, 581, 1336, 538, 8675, 563, 763, 476, 736, 2053, 568, 3226, 7793, 4328, 269, 31207, 676, 30573, 4267, 543, 2016, 5022, 269, 2422, 519, 968, 29589, 5320, 7117, 1299, 513, 892, 2146, 547, 2307, 585, 948, 563, 1805, 745, 31227, 547, 1205, 602, 835, 2063, 2626, 547, 513, 829, 14658, 532, 23319, 286, 1403, 596, 616, 513, 19444, 538, 519, 30573, 3014, 982, 798, 711, 5855, 1317, 519, 3652, 616, 1360, 2241, 269, 1703, 616, 1644, 10881, 630, 3333, 1144, 2630, 1916, 2252, 596, 7237, 1079, 610, 811, 4267, 1413, 693, 519, 1034, 2487, 835, 1775, 4318, 519, 2063, 6221, 593, 519, 4267, 4216, 269, 4855, 519, 2626, 540, 968, 13090, 2370, 11821, 892, 12462, 4754, 596, 2491, 9495, 2567, 901, 1256, 1568, 1510, 1022, 23319, 2016, 267, 1175, 538, 2013, 649, 723, 519, 2626, 267, 855, 938, 10881, 3280, 1114, 982, 16523, 563, 2791, 666, 3362, 2087, 707, 3406, 676, 28408, 519, 1297, 540, 5022, 538, 519, 2626, 269, 1284, 786, 2119, 547, 1265, 519, 1318, 2626, 547, 713, 1880, 30573, 23319, 269, 901, 942, 649, 616, 3168, 593, 519, 30573, 11015, 23319, 585, 912, 262, 538, 519, 1412, 6920, 8380, 5022, 269, 9061, 5320, 23319, 519, 30573, 23319, 17854, 609, 476, 278, 5022, 729, 2063, 2938, 593, 519, 27362, 476, 1839, 267, 476, 1001, 280, 269, 933, 1589, 519, 2693, 2626, 547, 713, 23319, 568, 2491, 269, 10964, 578, 616, 782, 2009, 4267, 547, 713, 23319, 10288, 676, 922, 7584, 269, 634, 2262, 28395, 4016, 547, 513, 2262, 602, 814, 519, 1482, 2495, 607, 1776, 2262, 267, 610, 513, 2495, 602, 568, 1360, 2673, 547, 602, 540, 519, 824, 2262, 269, 27675, 11618, 616, 1114, 1913, 602, 1611, 519, 1482, 3364, 9884, 1156, 596, 946, 19655, 267, 519, 2495, 540, 707, 8360, 1281, 711, 1689, 563, 12812, 519, 2626, 547, 1265, 2147, 30573, 10881, 269, 12989, 596, 786, 1265, 519, 2009, 4267, 585, 2339, 269, 14271, 11618, 267, 30573, 4267, 543, 824, 1644, 1913, 585, 2491, 649, 4126, 602, 519, 1739, 1592, 540, 19655, 585, 519, 2262, 2491, 786, 948, 596, 547, 9096, 707, 30573, 2221, 563, 263, 27675, 11618, 264, 1412, 2322, 1927, 585, 513, 986, 326, 1412, 568, 519, 2262, 2452, 269, 11512, 2417, 568, 513, 30573, 11015, 23319, 602, 649, 723, 19481, 476, 1691, 2053, 269, 769, 713, 2013, 519, 2626, 568, 1079, 1913, 267, 519, 1101, 814, 8370, 5022, 267, 519, 2034, 2185, 563, 9202, 942, 950, 10478, 519, 1357, 585, 513, 23319, 267, 2119, 1210, 519, 3406, 2165, 968, 332, 2660, 30573, 892, 610, 968, 332, 2660, 30573, 23319, 892, 950, 10478, 585, 948, 609, 707, 13410, 269, 8921, 942, 950, 10478, 519, 1357, 585, 513, 23319, 267, 2119, 1210, 519, 3406, 2165, 968, 1952, 324, 2084, 30573, 892, 610, 968, 1952, 324, 2084, 30573, 23319, 892, 950, 10478, 585, 948, 609, 707, 13410, 269, 634, 30573, 24626, 1336, 476, 2735, 4267, 547, 519, 2491, 630, 280, 264, 30573, 23319, 563, 8512, 540, 17728, 1775, 27571, 538, 1893, 1210, 7864, 5022, 630, 276, 264, 476, 1321, 269, 12226, 585, 2491, 4957, 29692, 1469, 30573, 23319, 269, 1284, 1034, 5063, 4718, 713, 23319, 538, 1412, 1492, 27369, 6939, 545, 262, 593, 12311, 11888, 267, 476, 6349, 632, 4895, 476, 1708, 271, 609, 519, 2626, 1373, 26003, 1047, 267, 649, 849, 1336, 26003, 1047, 547, 581, 519, 1034, 2442, 2626, 585, 713, 23319, 563, 23737, 2417, 568, 513, 30573, 11015, 23319, 269, 16707, 585, 513, 6169, 5467, 562, 12682, 30573, 23319, 4267, 616, 7396, 2630, 543, 1169, 942, 649, 1265, 513, 1007, 3070, 585, 713, 23319, 649, 1039, 621, 593, 519, 4267, 1592, 269, 11512, 23494, 568, 513, 30573, 11015, 23319, 602, 649, 723, 19481, 476, 273, 2053, 563, 262, 519, 3165, 538, 519, 5757, 1412, 568, 519, 2262, 2452, 269, 634, 30573, 24626, 1336, 476, 1220, 4267, 547, 519, 2491, 30573, 23319, 269, 901, 942, 649, 616, 3168, 593, 519, 30573, 11015, 23319, 585, 912, 272, 2626, 547, 713, 23319, 269, 1412, 5581, 1412, 666, 581, 606, 2626, 585, 1412, 2491, 1412, 630, 328, 4312, 2938, 713, 1354, 1040, 328, 993, 711, 2386, 827, 519, 1964, 540, 519, 4214, 269, 9612, 5215, 540, 30573, 11015, 4267, 593, 8675, 2593, 563, 2005, 779, 513, 476, 280, 5022, 30573, 4214, 269, 2422, 519, 6882, 16181, 2630, 519, 23319, 3403, 2361, 547, 2824, 519, 3259, 540, 519, 4267, 610, 1256, 930, 5022, 519, 3435, 1058, 2270, 269, 630, 10938, 513, 12297, 585, 1142, 7508, 5022, 267, 552, 3052, 563, 2171, 723, 476, 277, 2009, 4267, 538, 938, 6538, 269, 901, 568, 513, 30573, 23319, 602, 7902, 538, 519, 2053, 540, 561, 5064, 1082, 1296, 3516, 269, 9612, 585, 30573, 10881, 1336, 538, 519, 562, 344, 2053, 267, 3232, 28910, 267, 3232, 11604, 267, 751, 25393, 543, 2101, 12326, 563, 262, 986, 326, 1412, 568, 606, 606, 8183, 13525, 630, 328, 4312, 2938, 1412, 571, 13949, 262, 1611, 713, 1040, 589, 6939, 545, 30573, 568, 513, 16602, 3014, 1141, 1142, 23319, 568, 513, 2262, 11015, 1369, 3294, 269, 670, 13273, 1405, 12193, 519, 30573, 23319, 1174, 950, 1775, 3100, 11821, 827, 8905, 1287, 1946, 711, 3406, 938, 6538, 676, 519, 5022, 596, 723, 2907, 2336, 1607, 2985, 2982, 4267, 547, 519, 23319, 16555, 267, 4553, 676, 476, 280, 8847, 899, 968, 17141, 538, 519, 12683, 5608, 968, 263, 874, 559, 1108, 264, 538, 15599, 1108, 892, 543, 968, 320, 3126, 540, 8292, 610, 14391, 725, 6100, 27675, 11618, 585, 16555, 616, 585, 1383, 14391, 725, 267, 27792, 543, 7778, 269, 3467, 19655, 666, 581, 1336, 2630, 519, 11015, 4267, 269, 1744, 9464, 899, 513, 3758, 585, 3653, 281, 1284, 1336, 476, 276, 4267, 585, 968, 1260, 29232, 9731, 9213, 781, 30573, 11015, 23319, 568, 513, 2656, 835, 281, 3371, 568, 1250, 1655, 7778, 281, 9373, 519, 2626, 3259, 610, 519, 2626, 4806, 547, 1205, 1732, 2164, 563, 262, 2491, 602, 596, 666, 1405, 1294, 782, 1412, 568, 519, 4214, 269, 9373, 519, 2626, 3259, 610, 519, 2626, 4806, 547, 1205, 1732, 2164, 269, 1412, 585, 25962, 513, 1412, 8782, 585, 320, 1412, 1412, 585, 320, 1412, 609, 5022, 22198, 6548, 3947, 563, 308, 2955, 950, 1775, 3100, 11821, 827, 8905, 568, 513, 476, 278, 2262, 8360, 10023, 476, 6246, 5022, 269, 3371, 616, 519, 2009, 3435, 585, 2491, 23319, 269, 1703, 616, 1644, 10881, 630, 3333, 1144, 2630, 1916, 2171, 666, 948, 596, 4194, 1346, 16602, 10881, 538, 707, 30573, 11015, 269, 898, 729, 2063, 2938, 538, 21099, 2656, 30573, 269, 4427, 2466, 513, 1007, 2262, 610, 4214, 563, 8340, 519, 2626, 547, 519, 30573, 23319, 1174, 950, 1775, 3100, 11821, 827, 8905, 269, 8437, 519, 2626, 547, 1265, 2147, 30573, 10881, 269, 9061, 5320, 11015, 23319, 2340, 18568, 2491, 593, 3444, 6919, 565, 591, 2593, 782, 30573, 11015, 3435, 1299, 4267, 585, 2491, 609, 476, 278, 1299, 476, 1015, 5022, 30573, 948, 454, 2171, 4312, 11231, 519, 19655, 538, 3259, 1931, 865, 602, 789, 616, 4443, 547, 1265, 269, 898, 779, 513, 476, 277, 5022, 30573, 4214, 269, 6733, 693, 519, 7470, 543, 676, 9878, 2673, 3007, 547, 519, 2016, 10881, 596, 786, 581, 2111, 547, 1265, 519, 4267, 2066, 543, 1524, 563, 19350, 596, 786, 1265, 519, 2009, 4267, 585, 4300, 2084, 269, 15303, 545, 3444, 6919, 616, 3226, 2442, 538, 519, 8087, 10806, 267, 1141, 789, 12090, 267, 476, 790, 1633, 267, 568, 5361, 267, 519, 2121, 615, 4133, 267, 543, 538, 1896, 1455, 17314, 6082, 267, 1519, 31065, 267, 28492, 267, 15242, 267, 32650, 5984, 267, 4731, 3279, 267, 1007, 1990, 9973, 267, 543, 5045, 21562, 23357, 519, 8087, 2829, 267, 6939, 923, 616, 3006, 1634, 607, 269, 1546, 2280, 687, 616, 1913, 543, 2453, 538, 513, 6939, 545, 23319, 10834, 602, 5022, 616, 547, 581, 6569, 563, 15899, 5320, 948, 267, 10881, 1299, 4267, 269, 12226, 585, 2491, 30573, 23319, 269, 476, 272, 2626, 547, 713, 23319, 563, 262, 2322, 1412, 1797, 835, 2603, 540, 5022, 4422, 3330, 1776, 269, 4855, 519, 2626, 547, 519, 30573, 23319, 2491, 269, 589, 6939, 545, 30573, 568, 513, 30573, 11015, 538, 799, 1142, 23319, 568, 513, 2262, 11015, 538, 543, 540, 3294, 563, 23737, 23494, 568, 513, 30573, 11015, 23319, 269, 898, 729, 1031, 950, 4259, 23319, 630, 275 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1418, 12992, 269, 12846, 1114, 267, 918, 14535, 580, 24704, 20262, 26034, 689, 513, 521, 790, 333, 538, 799, 2011, 32062, 941, 9859, 693, 15914, 267, 547, 582, 1117, 14743, 563, 4263, 2547, 835, 811, 3146, 1417, 1374, 585, 513, 7344, 2911, 518, 814, 1044, 454, 1584, 4464, 630, 305, 625, 345, 267, 10002, 21242, 267, 476, 4350, 278, 1040, 5794, 896, 2604, 568, 4547, 689, 513, 13111, 693, 519, 1318, 269, 5565, 17901, 1852, 519, 2095, 269, 634, 1101, 11896, 8098, 1080, 2011, 883, 513, 12068, 538, 799, 513, 556, 539, 568, 6378, 269, 634, 556, 539, 5854, 919, 543, 14443, 338, 519, 2011, 2095, 1454, 899, 519, 13047, 27871, 269, 589, 5614, 2000, 1933, 539, 1793, 3187, 9775, 519, 2500, 3259, 540, 519, 556, 539, 543, 2242, 922, 4909, 4908, 269, 1133, 17383, 5367, 4992, 616, 3812, 676, 16153, 1154, 2011, 998, 519, 2034, 11896, 269, 634, 12122, 540, 519, 13047, 8778, 568, 9867, 676, 1797, 540, 8370, 1940, 762, 2818, 8204, 519, 17534, 267, 4522, 267, 11469, 267, 943, 28449, 267, 543, 6063, 541, 23993, 563, 2414, 14458, 519, 1852, 267, 681, 625, 345, 9112, 519, 7344, 2911, 518, 454, 5976, 9416, 10569, 547, 1852, 519, 12122, 267, 855, 609, 1152, 835, 1852, 1142, 585, 17534, 543, 4522, 630, 6518, 5249, 538, 11685, 547, 1142, 824, 1040, 634, 1114, 2818, 941, 4988, 609, 513, 2571, 12285, 16298, 547, 9585, 10853, 5008, 999, 543, 14927, 902, 269, 5565, 10569, 630, 275, 543, 476, 276, 264, 7500, 29835, 17901, 630, 309, 275, 543, 966, 276, 1070, 11231, 10169, 8335, 982, 519, 1101, 1079, 269, 4406, 557, 966, 275, 8098, 1080, 2011, 998, 513, 8559, 4464, 538, 519, 8778, 585, 6721, 796, 17383, 5367, 4992, 269, 4406, 557, 966, 276, 7727, 2011, 547, 519, 556, 539, 12068, 585, 21350, 5367, 29835, 269, 769, 713, 2013, 12334, 568, 6417, 676, 519, 2179, 540, 2011, 5293, 676, 519, 11896, 966, 276, 269, 1879, 13234, 676, 513, 9952, 1268, 267, 519, 3684, 1223, 581, 1500, 547, 18082, 4448, 4633, 269, 2290, 540, 922, 3226, 1434, 19039, 1734, 729, 4080, 547, 581, 834, 322, 7837, 12076, 8487, 292, 22268, 305, 13965, 631, 24518, 7495, 306, 11123, 9501, 292, 17248, 20219, 301, 8025, 2464, 3041, 454, 4415, 519, 4720, 540, 5122, 2029, 267, 1719, 538, 4633, 454, 1910, 660, 4185, 10924, 513, 6626, 4493, 269, 14288, 1719, 538, 519, 17550, 543, 1035, 24065, 923, 540, 519, 5365, 26148, 7271, 729, 29979, 676, 519, 1761, 585, 14379, 693, 513, 3845, 269, 4014, 834, 325, 659, 13678, 850, 5951, 845, 257, 6771, 540, 4633, 729, 519, 1101, 1505, 547, 581, 4294, 6707, 630, 328, 4318, 269, 538, 519, 15146, 1070, 1082, 2038, 31132, 15874, 519, 16982, 2470, 540, 519, 13047, 1062, 543, 519, 2956, 547, 4111, 2225, 540, 8497, 519, 2110, 6066, 17931, 8552, 2608, 269, 30551, 19862, 543, 4052, 3498, 540, 713, 1702, 941, 3476, 538, 4947, 563, 9915, 4488, 15045, 9331, 23414, 2177, 22552, 10813, 3582, 570, 20168, 296, 27309, 454, 20059, 580, 2209, 971, 607, 29581, 3128, 16379, 267, 667, 5861, 269, 16019, 267, 681, 269, 918, 14535, 580, 543, 853, 2794, 325, 454, 17495, 4505, 7074, 602, 4633, 6438, 4992, 1223, 581, 6383, 676, 6721, 606, 23191, 8552, 609, 519, 2953, 4909, 4908, 543, 3448, 7586, 6421, 269, 769, 824, 1913, 267, 519, 5365, 1223, 581, 24704, 609, 1100, 8903, 4674, 693, 5918, 2364, 908, 519, 13047, 1062, 267, 855, 5631, 609, 519, 6662, 540, 6721, 519, 5551, 829, 1061, 269, 7324, 519, 1101, 547, 6542, 519, 6240, 30788, 729, 26791, 267, 945, 9599, 1079, 13745, 22298, 5122, 11387, 676, 513, 1699, 29169, 693, 513, 2557, 26922, 547, 519, 5639, 4909, 269, 1635, 14577, 519, 5547, 25122, 267, 13455, 24008, 1223, 581, 20533, 269, 634, 17102, 729, 711, 14969, 2614, 547, 3132, 4448, 19039, 1734, 269, 2368, 6343, 2663, 267, 25538, 1676, 25282, 513, 2147, 1305, 540, 2185, 5122, 6949, 2209, 267, 4448, 538, 6252, 267, 543, 9599, 676, 513, 18388, 6438, 2707, 269, 634, 17016, 540, 519, 2185, 6949, 2209, 941, 5916, 538, 519, 1697, 7586, 6421, 547, 3132, 20262, 26034, 563, 23536, 2406, 519, 1101, 5122, 13754, 6500, 799, 13986, 547, 454, 335, 28558, 4448, 4633, 729, 519, 966, 18344, 630, 291, 644, 2917, 267, 681, 625, 345, 267, 543, 20242, 9469, 1040, 898, 729, 1666, 673, 344, 513, 8552, 1606, 11853, 3926, 13234, 689, 513, 9416, 13691, 269, 898, 1705, 267, 2705, 267, 26134, 835, 1271, 12214, 8984, 540, 519, 13047, 1062, 267, 12077, 267, 602, 519, 29835, 666, 581, 21350, 5367, 610, 796, 17383, 5367, 563, 763, 834, 637, 28585, 1852, 257, 4216, 540, 519, 2820, 823, 3568, 476, 1015, 733, 27631, 454, 7171, 1790, 817, 12086, 799, 12732, 519, 4633, 4908, 2039, 543, 616, 4448, 538, 6252, 269, 2353, 519, 12086, 4309, 29835, 689, 2901, 519, 6846, 2707, 610, 519, 18388, 630, 7758, 1314, 566, 264, 14251, 1807, 269, 634, 21015, 3046, 2824, 338, 519, 29835, 2707, 267, 543, 513, 3723, 29465, 8060, 519, 12334, 540, 519, 18388, 14251, 1807, 269, 634, 17016, 540, 519, 6512, 1790, 817, 12086, 1780, 998, 1494, 11230, 10309, 2744, 8060, 543, 616, 3773, 269, 14210, 9416, 10569, 7500, 519, 1494, 11230, 18852, 269, 8422, 3606, 10569, 1683, 513, 23644, 29835, 540, 5697, 12086, 547, 18082, 3247, 15926, 517, 656, 4992, 563, 1607, 6340, 3684, 729, 7152, 676, 8036, 12427, 693, 519, 454, 13328, 781, 674, 4202, 540, 476, 4350, 280, 630, 6124, 3840, 264, 543, 476, 3707, 271, 630, 26596, 12770, 1040, 4014, 519, 2866, 2838, 729, 3833, 1279, 630, 517, 519, 1931, 540, 513, 1032, 610, 811, 1070, 519, 12427, 941, 2111, 547, 834, 2452, 257, 519, 6191, 910, 12777, 607, 1498, 789, 941, 8219, 610, 32058, 657, 910, 543, 547, 3132, 4111, 1043, 4633, 1547, 2859, 5063, 267, 2417, 1382, 2090, 1759, 2390, 519, 966, 18344, 6240, 723, 1044, 5645, 856, 630, 302, 714, 26619, 543, 918, 889, 334, 1040, 2443, 268, 2608, 8871, 5799, 1851, 713, 1895, 729, 12138, 24023, 13852, 269, 634, 2621, 910, 538, 4276, 609, 6901, 593, 519, 834, 327, 1301, 4577, 751, 25393, 257, 910, 602, 3366, 13852, 267, 538, 4728, 540, 476, 6942, 277, 267, 547, 4019, 519, 1795, 13678, 850, 5951, 845, 6240, 616, 5432, 547, 1034, 1053, 540, 2792, 269, 10815, 1634, 267, 5310, 267, 568, 13852, 781, 17748, 540, 513, 19706, 6771, 1505, 26526, 2147, 547, 519, 8756, 4938, 18344, 269, 13852, 1572, 519, 2856, 519, 834, 9618, 335, 15146, 2668, 898, 15538, 540, 606, 28608, 30402, 24599, 609, 513, 4737, 540, 5374, 556, 2644, 538, 519, 6419, 5547, 269, 634, 556, 2644, 941, 547, 581, 11231, 547, 5854, 622, 538, 16133, 547, 519, 15393, 540, 519, 11275, 267, 543, 941, 547, 581, 22934, 1967, 1947, 547, 1114, 12451, 269, 13852, 6700, 602, 29038, 16269, 1522, 581, 2808, 26922, 547, 519, 22203, 538, 519, 3771, 335, 540, 23634, 328, 538, 519, 1480, 1274, 2668, 14675, 579, 1777, 1229, 2282, 519, 556, 2644, 1131, 2014, 547, 5854, 622, 1346, 556, 2644, 7222, 547, 519, 19706, 2497, 540, 519, 3280, 269, 3962, 556, 539, 1131, 16578, 538, 519, 11275, 606, 5122, 1699, 799, 1131, 9192, 609, 519, 14768, 3812, 676, 824, 556, 2644, 883, 513, 25739, 1950, 5951, 269, 634, 2698, 1699, 8429, 998, 513, 2147, 6293, 693, 519, 17513, 1131, 267, 13852, 2219, 267, 1305, 9838, 556, 2644, 883, 5163, 543, 16196, 519, 3312, 3280, 630, 310, 20490, 1040, 634, 3926, 729, 2760, 9112, 269, 634, 2601, 267, 23846, 3081, 267, 729, 519, 10238, 1438, 13258, 256, 4746, 267, 1317, 540, 519, 3668, 540, 1797, 585, 29208, 267, 13852, 2219, 519, 14768, 6383, 676, 971, 513, 3926, 1522, 581, 1932, 13927, 1076, 547, 581, 1316, 27809, 269, 630, 289, 749, 1336, 609, 1010, 23191, 751, 25393, 267, 2705, 267, 602, 513, 6419, 1098, 706, 1356, 609, 513, 29690, 7923, 547, 519, 6186, 1155, 1223, 267, 538, 1249, 267, 3132, 2912, 1043, 3280, 689, 971, 13927, 1076, 14768, 4700, 634, 6240, 540, 519, 834, 9618, 335, 15146, 257, 11438, 519, 29943, 602, 4633, 4111, 2225, 568, 17477, 676, 8497, 519, 2110, 6066, 17931, 8552, 269, 3962, 556, 539, 540, 519, 3926, 1522, 581, 2808, 513, 5916, 6850, 268, 3147, 15064, 1098, 706, 1356, 543, 6512, 10139, 6882, 269, 31453, 585, 519, 11544, 540, 519, 834, 16344, 614, 257, 6786, 538, 513, 1455, 18364, 267, 543, 519, 9000, 540, 6439, 4328, 543, 5347, 532, 1797, 267, 519, 8552, 16646, 6240, 12217, 513, 11495, 11696, 28917, 547, 602, 540, 519, 8756, 15642, 18344, 563, 295, 15030, 269, 667, 644, 2917, 19622, 689, 13852, 8534, 14898, 538, 5239, 476, 3422, 272, 269, 2201, 519, 12032, 540, 1010, 811, 982, 476, 2412, 1296, 538, 4633, 1382, 267, 835, 540, 519, 966, 18344, 6191, 729, 27366, 689, 4859, 543, 1201, 7875, 1639, 269, 769, 1840, 267, 835, 540, 519, 3312, 12427, 729, 14376, 547, 2132, 543, 1685, 585, 519, 8317, 269, 29055, 569, 267, 1310, 606, 954, 331, 8775, 540, 8938, 1296, 267, 519, 14799, 729, 2111, 547, 1694, 1524, 547, 519, 23641, 543, 1118, 519, 3684, 3717, 269, 0, 5445, 5749, 1406, 1932, 524, 3291, 569, 267, 855, 28278, 22645, 1265, 741, 1259, 883, 519, 12271, 543, 5321, 540, 1977, 3885, 269, 1656, 1631, 267, 3173, 693, 519, 2160, 540, 13325, 693, 12124, 320, 16644, 2086, 5218, 616, 1818, 2386, 891, 1085, 3315, 10130, 1205, 519, 1482, 2564, 1416, 607, 12071, 27918, 267, 22367, 6647, 543, 16176, 4252, 563, 11328, 13694, 3173, 689, 519, 23894, 2006, 4659, 585, 11628, 3163, 543, 5303, 543, 519, 5441, 540, 27259, 6925, 5340, 18909, 18767, 593, 28278, 22645, 547, 5352, 513, 1101, 6361, 268, 1080, 29292, 2634, 693, 20393, 281, 513, 1164, 22822, 4786, 540, 519, 7068, 685, 2634, 4525, 563, 25387, 267, 972, 568, 1100, 13387, 7014, 585, 7900, 19182, 3674, 593, 3013, 779, 1948, 272, 13959, 16277, 850, 563, 17606, 779, 2182, 547, 1205, 8901, 6571, 2614, 547, 1294, 2068, 538, 513, 28278, 812, 779, 2634, 15743, 1210, 513, 4791, 18909, 3684, 2966, 585, 3425, 2223, 1767, 17659, 27659, 2023, 267, 7548, 540, 6915, 30261, 543, 2930, 8689, 540, 519, 23894, 2006, 4659, 779, 4741, 585, 4437, 32441, 24919, 269, 968, 2005, 779, 1271, 547, 1174, 1018, 513, 2635, 28278, 15743, 779, 2634, 5654, 899, 543, 547, 1174, 519, 8390, 1063, 1114, 2831, 3034, 2304, 17561, 568, 4122, 1031, 585, 2831, 1282, 18909, 18362, 269, 4595, 519, 31554, 3568, 513, 2178, 11275, 267, 7463, 4496, 6954, 606, 20469, 5464, 3937, 568, 849, 2838, 563, 29467, 616, 1896, 8320, 1141, 513, 28278, 15743, 1131, 4324, 689, 606, 18909, 11571, 269, 1717, 267, 606, 1271, 7156, 1354, 19280, 713, 5868, 1131, 581, 519, 4220, 2404, 609, 23236, 2223, 1767, 26701, 320, 918, 11839, 267, 13930, 7548, 540, 18915, 543, 4791, 4915, 543, 519, 2212, 540, 18186, 1670, 4915, 693, 519, 18915, 3450, 6413, 563, 763, 3173, 685, 960, 729, 3370, 538, 13571, 4536, 538, 27259, 3163, 269, 1261, 4857, 513, 22150, 543, 2922, 23236, 7014, 602, 666, 581, 1031, 538, 2104, 4791, 2665, 269, 634, 1239, 689, 713, 1353, 849, 4228, 519, 4791, 1344, 2139, 547, 3173, 7900, 1164, 22822, 18909, 18767, 540, 28278, 22645, 538, 519, 2104, 563, 2414, 29289, 741, 1239, 267, 519, 2319, 1031, 513, 476, 274, 23592, 18909, 31554, 4092, 538, 519, 23894, 2006, 4437, 32441, 24919, 4741, 547, 3239, 5722, 28278, 22645, 538, 513, 2922, 543, 1875, 29554, 1259, 269, 2142, 12023, 22645, 12090, 689, 513, 1382, 543, 1353, 12733, 543, 616, 519, 1034, 1455, 2249, 540, 561, 19123, 11402, 538, 18915, 2564, 2259, 563, 763, 3173, 1031, 606, 3239, 19011, 1645, 4640, 547, 29289, 519, 18767, 883, 513, 2582, 4998, 1242, 2203, 540, 513, 28278, 15743, 2634, 282, 519, 4611, 693, 20393, 786, 581, 1031, 607, 3044, 4704, 1570, 538, 519, 2680, 602, 513, 28278, 15743, 1522, 581, 8995, 610, 5701, 585, 513, 14715, 2068, 269, 26277, 13929, 693, 331, 1162, 540, 20641, 267, 1519, 519, 570, 1177, 5500, 22900, 267, 15480, 599, 2983, 1188, 334, 267, 543, 5871, 717, 6621, 31315, 267, 941, 849, 1031, 585, 4704, 563, 2108, 5978, 3804, 585, 713, 1353, 729, 711, 1152, 547, 1683, 19353, 609, 606, 26715, 4704, 540, 519, 28278, 15743, 2634, 267, 855, 849, 547, 3715, 513, 2922, 543, 2500, 18909, 543, 6822, 566, 7014, 602, 666, 581, 1031, 538, 2853, 609, 1569, 547, 606, 18909, 269, 540, 476, 272, 269, 276, 610, 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 ]
[ 0, 258, 11879, 11202, 6396, 692, 1607, 1505, 568, 606, 2025, 10758, 19463, 269, 898, 729, 2919, 538, 519, 3735, 6957, 2906, 543, 568, 1869, 513, 1360, 2442, 4052, 1907, 269, 769, 713, 9074, 649, 946, 621, 607, 606, 14745, 540, 6422, 5752, 630, 7894, 264, 538, 2962, 780, 2414, 2491, 519, 1505, 621, 1131, 581, 1655, 17333, 2015, 519, 1239, 10268, 538, 519, 1739, 3349, 585, 513, 1360, 1507, 1788, 1384, 11314, 30991, 5560, 904, 264, 8056, 18957, 303, 1042, 324, 25600, 9751, 476, 277, 4534, 623, 3420, 2084, 476, 280, 4534, 13870, 476, 279, 9751, 267, 623, 3420, 2084, 10866, 6513, 476, 278, 9751, 267, 623, 3420, 2084, 1306, 5145, 1782, 476, 1015, 10866, 6513, 13255, 532, 476, 1321, 1306, 5145, 1782, 692, 2005, 568, 513, 1507, 1788, 9967, 540, 3670, 2238, 610, 6009, 692, 25332, 2925, 602, 585, 1142, 2534, 649, 1590, 723, 1614, 4773, 540, 1344, 281, 922, 2140, 630, 984, 16227, 1070, 922, 8653, 543, 922, 1305, 540, 7525, 21530, 25600, 269, 634, 1101, 1079, 616, 6654, 267, 865, 649, 4927, 4983, 1152, 519, 3791, 780, 2252, 606, 2534, 1281, 711, 723, 1022, 7525, 21530, 25600, 630, 1122, 269, 9751, 543, 623, 3420, 2084, 1070, 1287, 621, 666, 30134, 5612, 269, 2201, 519, 824, 1688, 267, 952, 606, 2534, 1281, 723, 7525, 21530, 25600, 267, 1287, 621, 3112, 30134, 1354, 519, 12032, 540, 782, 922, 7525, 21530, 25600, 269, 1280, 1383, 267, 13870, 3112, 30134, 1354, 9751, 543, 623, 3420, 2084, 723, 1312, 1044, 6192, 780, 763, 5692, 540, 519, 2565, 2619, 1505, 568, 547, 3313, 875, 2038, 666, 519, 1788, 581, 6192, 543, 547, 2697, 519, 2565, 2238, 267, 562, 600, 2917, 519, 2238, 4171, 17799, 786, 2014, 513, 8488, 538, 519, 12032, 540, 519, 3003, 1788, 780, 763, 6422, 5752, 1935, 547, 713, 1966, 568, 1759, 593, 519, 1739, 17608, 3168, 2035, 1384, 21180, 314, 288, 316, 28701, 23778, 5006, 942, 602, 2534, 589, 666, 30134, 630, 326, 1508, 519, 9551, 775, 23061, 543, 519, 8653, 540, 922, 21530, 25600, 264, 700, 307, 314, 288, 316, 28701, 26257, 942, 602, 2534, 589, 666, 581, 6192, 1510, 4929, 513, 8488, 538, 519, 12032, 540, 519, 3003, 1788, 269, 630, 272, 264, 570, 293, 314, 288, 316, 28701, 630, 299, 307, 314, 288, 316, 910, 21180, 314, 288, 8079, 910, 512, 10490, 264, 630, 20135, 10581, 540, 2534, 589, 24355, 763, 2698, 10581, 540, 606, 2534, 568, 1287, 630, 2421, 4214, 264, 519, 13074, 2009, 8488, 538, 519, 12032, 540, 713, 2534, 602, 786, 711, 2014, 513, 8488, 538, 519, 12032, 540, 519, 3003, 1788, 269, 901, 2303, 519, 1739, 16022, 10206, 1384, 11879, 2534, 28701, 1323, 2534, 4171, 2698, 10581, 568, 3160, 547, 4642, 630, 307, 293, 314, 288, 24557, 271, 2020, 1103, 2110, 267, 782, 649, 723, 547, 798, 547, 2697, 519, 2565, 2238, 568, 12337, 630, 553, 11311, 676, 630, 272, 4297, 519, 2698, 6083, 1846, 540, 782, 519, 2238, 543, 2697, 1346, 2238, 4171, 2698, 6083, 1846, 616, 3160, 547, 4642, 269, 901, 1797, 602, 649, 723, 547, 12337, 519, 21180, 338, 543, 700, 25629, 585, 782, 519, 2238, 269, 634, 1739, 616, 6093, 667, 303, 8343, 269, 1403, 596, 723, 7965, 1620, 741, 7954, 267, 723, 513, 2656, 1413, 519, 20125, 2619, 1966, 269, 1809, 1101, 930, 10035, 543, 16166, 1384, 623, 314, 288, 348, 28701, 5590, 540, 782, 7525, 21530, 25600, 540, 2534, 589, 269, 590, 314, 288, 316, 28701, 5590, 540, 782, 7525, 1967, 832, 540, 2534, 589, 269, 570, 28701, 7388, 5406, 942, 540, 519, 3003, 1788, 267, 14322, 1100, 17799, 269, 19461, 2534, 28701, 1323, 2534, 609, 1100, 21530, 25600, 630, 303, 314, 288, 316, 568, 8900, 1040, 12910, 1400, 2534, 28701, 1323, 2534, 609, 1100, 1967, 832, 630, 306, 314, 288, 316, 568, 8900, 6393, 763, 1101, 8343, 6920, 519, 6654, 267, 12077, 621, 32625, 602, 519, 2238, 602, 798, 711, 723, 7525, 2392, 612, 832, 666, 30134, 5612, 543, 602, 519, 2063, 2534, 547, 581, 6192, 1590, 581, 606, 2534, 609, 1100, 7525, 1967, 832, 1384, 2162, 14497, 476, 272, 692, 630, 273, 264, 21180, 314, 288, 316, 815, 476, 271, 2073, 585, 782, 3355, 2238, 630, 773, 269, 623, 314, 288, 316, 568, 8900, 264, 630, 274, 264, 570, 815, 3193, 2715, 700, 307, 10490, 2567, 589, 568, 513, 2165, 658, 2534, 630, 306, 314, 288, 316, 568, 8900, 14587, 630, 275, 264, 815, 3193, 2715, 21180, 10490, 264, 1341, 512, 10490, 2567, 782, 589, 7684, 692, 763, 2034, 8343, 568, 8806, 513, 19862, 540, 519, 667, 303, 6198, 4834, 585, 21180, 543, 700, 307, 269, 1358, 1058, 7618, 596, 540, 519, 667, 303, 6198, 3830, 649, 946, 585, 519, 20125, 2619, 2625, 6352, 780, 2162, 14497, 476, 273, 692, 630, 276, 264, 21180, 314, 288, 316, 815, 3193, 2715, 512, 3287, 264, 1341, 21180, 3287, 2567, 1535, 538, 623, 314, 288, 316, 7684, 2073, 952, 623, 314, 288, 316, 568, 711, 8900, 269, 630, 277, 264, 700, 307, 314, 288, 316, 815, 1295, 2715, 700, 307, 3287, 264, 910, 512, 3287, 264, 2433, 1535, 538, 590, 314, 288, 316, 7684, 2073, 952, 590, 314, 288, 316, 568, 711, 8900, 780, 5978, 667, 303, 3009, 568, 1759, 593, 891, 6198, 4834, 780, 2005, 568, 1455, 2259, 547, 3132, 513, 717, 656, 339, 15873, 585, 1788, 2359, 2042, 269, 5213, 1405, 11784, 952, 596, 798, 711, 917, 4010, 1018, 513, 717, 656, 339, 5750, 568, 543, 875, 547, 2721, 621, 269, 5620, 513, 1413, 693, 519, 1739, 3349, 799, 568, 519, 717, 656, 339, 15873, 585, 519, 1966, 9138, 676, 519, 3349, 1657, 780, 623, 3420, 2084, 10866, 6513, 1306, 5145, 1782, 13255, 532, 9751, 13870, 5384, 630, 17058, 264, 476, 272, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 278, 476, 279, 476, 280, 476, 1015, 476, 1556, 476, 1321, 476, 1724, 476, 1691, 476, 1428, 476, 1626, 476, 1704, 476, 1240, 476, 866, 476, 736, 476, 2641, 476, 2420, 476, 2537, 476, 2190, 476, 1839, 476, 2918, 476, 2767, 476, 2764, 476, 3066, 476, 1789, 476, 4029, 476, 3953, 476, 3451, 476, 4097, 476, 3374, 476, 3607, 476, 4391, 476, 4343, 454, 11879, 11314, 6348, 2275, 15560, 2534, 11192, 10581, 692, 763, 10084, 29441, 9744, 568, 711, 2347, 2943, 855, 596, 666, 9090, 4603, 609, 621, 269, 898, 2488, 513, 22369, 899, 3403, 1106, 543, 786, 3313, 519, 2565, 2619, 543, 4729, 519, 717, 656, 339, 15873, 269, 1717, 267, 621, 1281, 711, 1683, 693, 1459, 1022, 9744, 547, 4983, 519, 13591, 2164, 780, 15100, 634, 2160, 540, 24332, 476, 1960, 275, 268, 1220, 271, 269, 0, 18704, 454, 18439, 11020, 22709, 692, 258, 10789, 543, 26344, 5852, 630, 1626, 10819, 2020, 272, 269, 3503, 606, 3830, 585, 519, 5858, 602, 10596, 998, 519, 2798, 912, 263, 272, 267, 910, 272, 1070, 11196, 276, 267, 476, 278, 1070, 543, 11196, 277, 267, 476, 271, 6393, 273, 269, 18124, 519, 8701, 3830, 538, 14328, 1106, 780, 274, 269, 4855, 519, 2698, 1858, 20583, 676, 519, 3113, 540, 519, 8701, 3830, 678, 815, 476, 272, 1341, 5430, 476, 273, 261, 258, 4817, 273, 282, 780, 275, 269, 3503, 519, 3830, 540, 519, 1899, 17242, 547, 519, 4164, 13011, 7455, 1535, 815, 512, 6523, 512, 267, 586, 815, 512, 7562, 512, 693, 519, 1448, 7222, 547, 512, 815, 476, 273, 261, 258, 31634, 282, 780, 10190, 5173, 547, 3313, 2436, 519, 7455, 568, 6677, 1511, 16057, 610, 6677, 1511, 18746, 693, 713, 1448, 780, 276, 269, 4855, 519, 9095, 3259, 540, 519, 7455, 2016, 676, 1535, 815, 5609, 512, 910, 5430, 512, 10484, 277, 269, 4855, 606, 3830, 540, 519, 31753, 609, 4099, 630, 271, 267, 476, 271, 1070, 7299, 2101, 7852, 476, 1691, 267, 543, 5634, 7852, 476, 1015, 780, 278, 269, 4855, 606, 3830, 585, 519, 5409, 19096, 609, 1445, 630, 1556, 267, 476, 273, 1070, 543, 29297, 4925, 476, 275, 343, 910, 476, 274, 344, 815, 476, 1240, 543, 476, 275, 343, 1341, 476, 274, 344, 815, 476, 1789, 780, 279, 269, 14419, 2436, 610, 711, 519, 5311, 4780, 2471, 543, 1265, 922, 3970, 952, 621, 1281, 27721, 780, 280, 269, 589, 3440, 814, 25483, 11664, 678, 2999, 272, 952, 267, 950, 621, 568, 12628, 689, 513, 4463, 554, 267, 621, 536, 25555, 1394, 547, 513, 4463, 540, 11002, 269, 589, 3440, 609, 513, 25483, 11664, 476, 271, 269, 10037, 568, 12628, 689, 606, 3355, 4463, 540, 513, 815, 476, 275, 10264, 269, 2422, 513, 12166, 3126, 547, 12337, 519, 2698, 942, 2838, 585, 621, 547, 2347, 922, 28222, 1082, 536, 25555, 269, 634, 942, 2838, 585, 513, 3440, 547, 6749, 554, 3952, 630, 5228, 1964, 264, 568, 692, 1015, 269, 3503, 519, 13177, 9971, 609, 4099, 4642, 543, 540, 4110, 476, 275, 585, 519, 1599, 692, 1556, 269, 14419, 519, 2418, 540, 533, 585, 799, 519, 3126, 4780, 2471, 780, 1321, 269, 12433, 519, 2040, 540, 519, 1101, 4557, 2474, 540, 519, 3126, 2073, 1287, 7447, 519, 5470, 1500, 538, 1210, 713, 9864, 2040, 547, 16977, 519, 2040, 540, 519, 3126, 780, 1724, 269, 14419, 2436, 519, 3126, 4780, 2471, 11613, 267, 4780, 2471, 2783, 958, 267, 610, 11651, 2471, 780, 1691, 269, 4855, 519, 8884, 540, 19427, 540, 519, 1379, 3126, 692, 1428, 269, 12433, 5609, 476, 9262, 4113, 4977, 547, 2947, 8918, 4025, 1210, 13177, 781, 4542, 585, 606, 3617, 1599, 10704, 693, 16317, 1626, 269, 3689, 17589, 513, 24088, 6935, 4758, 524, 333, 585, 562, 1299, 258, 279, 3199, 276, 282, 476, 273, 538, 2474, 540, 610, 524, 272, 630, 528, 1312, 1040, 3973, 4019, 519, 3355, 2175, 547, 1265, 519, 2418, 540, 543, 524, 272, 269, 8921, 3313, 524, 333, 538, 2474, 540, 562, 267, 630, 553, 538, 519, 1257, 264, 543, 267, 6368, 267, 2697, 519, 1880, 3070, 538, 2474, 540, 5432, 10026, 3252, 269, 586, 5257, 910, 476, 280, 344, 815, 476, 271, 282, 586, 263, 271, 264, 815, 476, 271, 267, 586, 21948, 271, 264, 815, 476, 274, 780, 2971, 8827, 12834, 692, 31580, 543, 29890, 616, 12193, 269, 634, 3070, 568, 2143, 543, 1134, 4843, 780, 15478, 273, 269, 866, 0, 258, 8058, 1305, 1599, 568, 513, 2268, 692, 1892, 8734, 476, 1321, 628, 476, 1001, 272, 267, 476, 6021, 281, 4366, 7537, 454, 763, 303, 1886, 2867, 454, 17004, 1305, 1599, 568, 513, 2268, 454, 17098, 10484, 4131, 4399, 6234, 2473, 259, 581, 513, 1305, 563, 31711, 4399, 6234, 1422, 24837, 31505, 348, 28701, 1422, 346, 589, 1422, 11357, 3553, 2473, 2433, 1923, 288, 347, 1422, 19008, 1923, 315, 13992, 346, 301, 348, 347, 1422, 3387, 2135, 346, 610, 7684, 1923, 288, 3867, 322, 348, 347, 1422, 19008, 1923, 315, 13992, 346, 301, 348, 347, 1422, 20954, 1141, 4399, 6234, 1923, 1422, 10383, 1923, 259, 1797, 3556, 514, 1275, 780, 10190, 4399, 6234, 1422, 24837, 31505, 4151, 568, 513, 4399, 6234, 1422, 18406, 27572, 531, 5040, 269, 16294, 513, 2268, 593, 713, 22905, 2230, 676, 4399, 6234, 1422, 24472, 2433, 1422, 24837, 31505, 348, 1422, 1729, 1422, 346, 271, 267, 272, 315, 4151, 676, 454, 315, 7445, 6234, 1422, 24472, 10490, 264, 28701, 1422, 8218, 26231, 1162, 348, 476, 271, 1422, 3387, 2135, 346, 952, 7684, 589, 1422, 3387, 2135, 346, 568, 1293, 762, 27874, 476, 272, 1422, 3387, 2135, 346, 952, 7684, 288, 3867, 322, 348, 1422, 3387, 2135, 346, 568, 1293, 762, 4153, 754, 26231, 1162, 10592, 17004, 602, 4399, 6234, 1422, 24472, 259, 568, 513, 2268, 267, 1775, 4318, 269, 1397, 602, 4399, 6234, 1422, 24472, 7268, 3319, 903, 564, 264, 815, 476, 271, 259, 543, 602, 4399, 6234, 1422, 24472, 259, 568, 4399, 6234, 1422, 18406, 27572, 5417, 1438, 780, 6546, 4399, 6234, 1422, 24472, 7268, 3319, 903, 564, 264, 815, 476, 271, 259, 594, 7058, 2501, 3362, 2094, 4399, 6234, 1422, 3319, 903, 564, 259, 568, 1293, 762, 269, 1403, 4399, 6234, 630, 288, 19553, 264, 3709, 329, 1422, 28254, 476, 272, 348, 1422, 11357, 3553, 1422, 24837, 31505, 20954, 6292, 3772, 771, 329, 2002, 1384, 10112, 2541, 782, 4399, 6234, 589, 19553, 259, 616, 1293, 762, 267, 1287, 519, 1293, 762, 9769, 568, 1293, 762, 267, 865, 4399, 6234, 1422, 24472, 13375, 263, 1422, 15927, 24189, 3709, 329, 1422, 28254, 476, 272, 348, 589, 19553, 1422, 2431, 264, 815, 476, 271, 259, 563, 9827, 267, 4399, 6234, 1422, 8999, 3709, 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 ]
[ 543, 513, 21491, 1157, 610, 17180, 17332, 883, 519, 4099, 2501, 856, 2973, 563, 279, 269, 15346, 281, 2913, 519, 8970, 30103, 3579, 585, 513, 1906, 3764, 1354, 5969, 621, 883, 21100, 610, 10945, 563, 763, 1657, 11600, 568, 585, 513, 5929, 267, 8828, 16654, 8970, 30103, 269, 1403, 596, 4782, 513, 4418, 2678, 8832, 16654, 8970, 30103, 267, 1039, 476, 272, 270, 275, 547, 476, 272, 270, 273, 7484, 540, 4006, 610, 9932, 547, 519, 6632, 5820, 563, 12234, 267, 596, 666, 4603, 609, 7648, 676, 4946, 5820, 899, 795, 531, 1901, 10722, 657, 267, 10381, 267, 11922, 267, 610, 1256, 5388, 547, 519, 4402, 547, 1711, 1114, 10366, 269, 12397, 30103, 568, 513, 11684, 8670, 267, 543, 596, 666, 3082, 621, 547, 707, 6492, 543, 519, 7594, 596, 2461, 7674, 621, 609, 563, 4692, 594, 946, 1216, 3079, 540, 5144, 538, 8970, 30103, 888, 8133, 267, 596, 666, 946, 1216, 3079, 540, 5144, 538, 8970, 30103, 267, 855, 621, 779, 1271, 547, 4063, 602, 519, 18839, 786, 1764, 519, 8137, 543, 9403, 540, 519, 8970, 30103, 269, 3371, 616, 930, 9270, 950, 1210, 1216, 538, 1747, 540, 5144, 912, 19119, 540, 4635, 4826, 538, 12397, 30103, 454, 8794, 1216, 538, 8970, 30103, 10346, 3091, 1896, 2640, 267, 1818, 621, 513, 14323, 4781, 585, 1585, 3871, 269, 3371, 616, 930, 540, 519, 5383, 540, 1210, 1216, 538, 8970, 30103, 912, 272, 269, 3244, 13109, 543, 1230, 1597, 1466, 912, 12850, 568, 513, 11593, 2139, 543, 2653, 3562, 14025, 12146, 269, 4107, 10820, 723, 1569, 547, 2973, 1216, 267, 1818, 621, 513, 10375, 3903, 950, 596, 2461, 856, 540, 5144, 610, 824, 8925, 563, 273, 269, 26678, 769, 12807, 912, 12850, 568, 513, 10683, 6954, 543, 17154, 7888, 4781, 269, 1635, 1210, 1216, 267, 596, 666, 13918, 2043, 609, 8192, 9993, 610, 7375, 267, 4180, 602, 3025, 666, 2972, 741, 8970, 30103, 563, 274, 269, 700, 7660, 7956, 675, 912, 290, 1941, 30103, 1500, 609, 1216, 11148, 547, 723, 513, 14402, 543, 1447, 10053, 9403, 269, 901, 666, 9029, 547, 1346, 945, 4782, 513, 2770, 742, 1512, 543, 1447, 5230, 8970, 30103, 269, 634, 1267, 568, 3694, 602, 779, 5594, 2011, 1512, 543, 4443, 547, 3548, 563, 12850, 568, 835, 540, 519, 1034, 6578, 7888, 3681, 585, 5277, 538, 707, 8970, 30103, 11600, 269, 898, 666, 581, 606, 22237, 3903, 952, 596, 2461, 3168, 547, 4688, 593, 17365, 9276, 563, 12850, 666, 581, 1031, 607, 513, 3490, 585, 1585, 8970, 30103, 7648, 269, 6787, 596, 2461, 1818, 10750, 8970, 30103, 610, 19234, 609, 3606, 5820, 899, 795, 531, 1901, 10722, 657, 267, 10381, 267, 11922, 267, 610, 5388, 267, 1216, 666, 3082, 547, 1114, 8137, 12632, 563, 277, 269, 7195, 2331, 4469, 2948, 912, 4407, 1216, 949, 711, 3565, 519, 1482, 1377, 540, 17381, 543, 29284, 607, 5144, 267, 621, 2636, 824, 10366, 538, 707, 8970, 30103, 267, 971, 607, 8970, 22596, 267, 6070, 267, 543, 1022, 3773, 5820, 267, 547, 2097, 4464, 811, 30326, 269, 901, 666, 1267, 538, 513, 1134, 28394, 2331, 8137, 563, 278, 269, 2672, 527, 1464, 585, 16930, 31204, 912, 2467, 616, 1808, 8970, 30103, 10346, 602, 1289, 585, 1216, 267, 971, 607, 8970, 533, 821, 269, 1403, 596, 2461, 17935, 547, 1118, 513, 2757, 610, 6237, 8390, 602, 12926, 3096, 1216, 267, 1210, 713, 12146, 568, 811, 8076, 563, 1103, 5758, 267, 1210, 1216, 538, 8970, 30103, 666, 581, 513, 4052, 543, 8537, 3903, 267, 5356, 16134, 267, 1769, 1145, 267, 1942, 13716, 4369, 267, 543, 519, 2702, 547, 8597, 547, 8192, 7375, 269, 2755, 621, 949, 7369, 519, 8137, 543, 9403, 5594, 3379, 547, 1210, 5144, 267, 1216, 666, 581, 513, 1390, 4781, 950, 596, 1616, 547, 1832, 707, 8970, 30103, 11600, 3551, 610, 991, 547, 13918, 1808, 8192, 2115, 563, 19352, 10587, 540, 4635, 4826, 538, 12397, 30103, 454, 4407, 1210, 1216, 607, 513, 12990, 585, 5144, 538, 8970, 30103, 666, 723, 922, 5383, 267, 621, 779, 1898, 547, 581, 3222, 540, 519, 19363, 540, 713, 18839, 269, 3371, 616, 930, 540, 519, 11393, 540, 1210, 1216, 538, 8970, 30103, 912, 272, 269, 16816, 1229, 4469, 2948, 912, 3080, 540, 519, 3119, 19363, 568, 519, 12012, 8137, 269, 12397, 30103, 1500, 609, 1216, 19330, 519, 17381, 543, 5594, 6653, 6492, 540, 5144, 269, 901, 666, 581, 513, 17498, 728, 952, 596, 2972, 519, 2757, 543, 10169, 6653, 8137, 540, 8970, 30103, 563, 273, 269, 25841, 7720, 626, 675, 912, 300, 20488, 8309, 7509, 547, 8970, 30103, 267, 799, 2337, 1832, 621, 13035, 543, 5848, 269, 4635, 1216, 3079, 666, 1267, 538, 513, 5671, 518, 9403, 267, 799, 949, 711, 581, 14909, 585, 1346, 945, 4782, 513, 4779, 3563, 8970, 30103, 269, 1677, 7753, 713, 267, 596, 949, 991, 547, 4188, 824, 2609, 540, 519, 11600, 547, 2226, 519, 5551, 1377, 540, 7509, 563, 274, 269, 10815, 31201, 1465, 912, 300, 20488, 2488, 513, 27598, 2298, 547, 8970, 30103, 602, 1216, 3112, 21613, 269, 634, 8645, 1465, 540, 5144, 666, 3986, 519, 5023, 10623, 601, 543, 2949, 4189, 1995, 540, 8970, 30103, 269, 4826, 949, 723, 513, 1447, 27598, 9403, 267, 799, 1522, 711, 581, 5078, 585, 930, 7375, 563, 275, 269, 715, 26798, 20212, 912, 2691, 2655, 23082, 1216, 585, 5144, 267, 596, 4413, 856, 593, 519, 9422, 2640, 540, 5144, 267, 971, 607, 3940, 267, 7513, 267, 543, 8324, 269, 1403, 596, 2461, 3168, 547, 1039, 891, 5567, 547, 707, 8970, 30103, 267, 1210, 5144, 610, 513, 5144, 4244, 1522, 581, 513, 1732, 3903, 563, 276, 269, 7956, 675, 12694, 912, 288, 2151, 1324, 519, 4998, 9403, 538, 8970, 30103, 950, 1210, 1216, 666, 581, 811, 4101, 269, 898, 949, 2154, 811, 5730, 11941, 547, 2061, 519, 3694, 689, 4742, 1932, 3819, 610, 1835, 3518, 569, 563, 277, 269, 11154, 725, 22490, 912, 2414, 22771, 585, 519, 9000, 540, 5144, 267, 596, 949, 991, 547, 1118, 3606, 14624, 547, 519, 11600, 269, 901, 1522, 1331, 4946, 3063, 9600, 267, 6653, 22211, 267, 610, 824, 5820, 547, 3035, 519, 5551, 6492, 543, 9403, 563, 1103, 3932, 267, 1247, 1216, 666, 581, 513, 4052, 12990, 585, 5144, 538, 8970, 30103, 267, 621, 779, 1898, 547, 2015, 519, 19363, 267, 3226, 519, 1764, 593, 8137, 267, 7509, 267, 543, 8645, 1465, 269, 1677, 7753, 891, 2591, 267, 596, 666, 4603, 609, 824, 5820, 543, 1118, 11941, 547, 1711, 513, 8970, 30103, 602, 17015, 707, 6492, 543, 7375, 563, 763, 10020, 540, 22447, 538, 12397, 30103, 454, 300, 20488, 4249, 513, 2629, 1909, 538, 519, 7041, 540, 8970, 30103, 267, 12018, 922, 9403, 267, 7509, 267, 543, 8137, 269, 3371, 779, 606, 7650, 540, 519, 851, 540, 5144, 538, 8970, 30103, 912, 272, 269, 7720, 626, 675, 543, 570, 2658, 1145, 912, 300, 20488, 8591, 7509, 547, 519, 8970, 30103, 267, 6721, 513, 13035, 543, 5848, 9403, 269, 634, 5277, 1543, 538, 519, 5144, 2337, 2061, 519, 3694, 689, 4742, 1932, 3819, 543, 1835, 3518, 569, 269, 898, 5849, 602, 519, 8970, 30103, 568, 11791, 547, 3548, 267, 543, 519, 3773, 7509, 8309, 547, 922, 5493, 520, 1464, 563, 273, 269, 12856, 543, 645, 4193, 912, 300, 20488, 5713, 607, 513, 11006, 8665, 538, 8970, 30103, 267, 4543, 547, 3180, 519, 5820, 1927, 269, 898, 4249, 513, 1909, 538, 2870, 519, 2497, 540, 519, 3694, 267, 3850, 621, 547, 4473, 5265, 1282, 11256, 543, 2226, 513, 24886, 11007, 563, 300, 20488, 8309, 513, 27598, 2298, 547, 8970, 30103, 267, 799, 10597, 519, 5023, 10623, 601, 543, 4189, 1995, 269, 901, 8645, 1465, 8591, 513, 11029, 17381, 547, 519, 3694, 543, 1264, 906, 519, 5594, 6653, 543, 2428, 1399, 8137, 540, 519, 8970, 22596, 563, 275, 269, 4469, 2948, 28389, 618, 912, 300, 20488, 8309, 547, 519, 2949, 8137, 9043, 540, 8970, 30103, 269, 898, 2488, 513, 5594, 6653, 543, 10683, 11656, 6492, 602, 1264, 906, 519, 2067, 2428, 339, 1465, 540, 8970, 22596, 269, 901, 4999, 540, 10366, 568, 1018, 1082, 1004, 12314, 609, 2757, 8970, 30103, 563, 276, 269, 7720, 626, 675, 4825, 1549, 912, 19741, 4946, 7509, 1282, 519, 11256, 1184, 267, 5144, 849, 2337, 8970, 30103, 11677, 922, 7509, 1256, 1310, 621, 814, 22799, 269, 901, 1797, 8970, 30103, 1500, 609, 5144, 11148, 547, 3251, 23906, 615, 543, 811, 11791, 585, 6905, 5712, 563, 1103, 5758, 267, 5144, 568, 606, 1898, 12146, 538, 8970, 30103, 267, 543, 922, 1909, 538, 4946, 7509, 267, 7393, 9403, 267, 3246, 8645, 1465, 267, 543, 7700, 547, 519, 2949, 8137, 3112, 581, 936, 26061, 269, 2755, 596, 666, 946, 1216, 607, 513, 12990, 267, 621, 779, 1898, 547, 5431, 602, 519, 9000, 540, 5144, 666, 7369, 519, 2757, 4162, 540, 8970, 30103, 269, 13689, 593, 707, 7375, 543, 8192, 2115, 267, 596, 949, 991, 547, 1118, 11941, 547, 2226, 519, 2298, 540, 1210, 5144, 563, 19522, 585, 4635, 4826, 538, 12397, 30103, 454, 2691, 1210, 1216, 607, 513, 12990, 585, 5144, 538, 8970, 30103, 267, 621, 779, 1898, 547, 1118, 11941, 547, 2327, 602, 707, 8970, 30103, 7140, 856, 1134, 538, 2474, 540, 8137, 543, 9403, 269, 3371, 616, 930, 4388, 585, 1210, 1216, 538, 8970, 30103, 10346, 912, 272, 269, 5410, 15310, 912, 2414, 22771, 585, 519, 3668, 540, 3170, 543, 8645, 1465, 602, 5144, 2488, 267, 2015, 4946, 513, 1507, 2179, 540, 24268, 7423, 610, 10448, 3282, 547, 519, 8970, 30103, 4402, 269, 901, 1840, 666, 2087, 519, 2949, 9403, 543, 6492, 563, 273, 269, 17491, 610, 21690, 10273, 912, 290, 1941, 30103, 1500, 609, 1216, 949, 3668, 519, 13581, 29284, 602, 5144, 791, 11301, 269, 1677, 17932, 713, 29284, 267, 596, 666, 1039, 513, 5905, 540, 4006, 610, 9932, 547, 707, 1216, 2861, 8970, 30103, 4402, 269, 1411, 949, 1689, 519, 4006, 1543, 547, 9290, 707, 7375, 563, 274, 269, 1809, 3410, 20488, 15240, 3482, 912, 2252, 596, 723, 1809, 3410, 20488, 593, 1688, 267, 621, 666, 581, 1031, 607, 513, 12990, 585, 5144, 269, 1809, 3410, 20488, 2488, 513, 8126, 344, 8137, 543, 7509, 267, 2147, 547, 5144, 269, 1403, 596, 1810, 1406, 723, 1809, 3410, 20488, 267, 596, 666, 1711, 513, 12990, 676, 4946, 513, 1507, 2179, 540, 16693, 610, 11993, 10433, 547, 707, 1216, 543, 15603, 621, 1694, 585, 513, 1906, 3764, 1354, 946, 563, 300, 1460, 519, 4402, 8499, 267, 855, 2057, 936, 332, 30480, 269, 3683, 332, 30480, 666, 1118, 519, 8970, 30103, 4101, 543, 1267, 538, 606, 24379, 9403, 269, 17186, 1175, 2394, 519, 5820, 616, 5916, 547, 3035, 519, 1655, 11007, 563, 276, 269, 6333, 23448, 4469, 2948, 902, 912, 2414, 3986, 519, 8137, 540, 707, 1216, 2861, 8970, 30103, 267, 2015, 4946, 3606, 5820, 971, 607, 11922, 267, 14546, 267, 795, 531, 1901, 10722, 657, 267, 10381, 267, 610, 824, 8137, 902, 269, 1452, 23937, 666, 948, 22771, 585, 519, 2242, 538, 8137, 1813, 547, 1210, 1216, 563, 277, 269, 10866, 23123, 912, 8196, 1164, 7779, 8970, 22596, 543, 824, 5820, 547, 2327, 519, 1655, 8137, 543, 9403, 269, 18610, 8970, 22596, 543, 824, 4195, 5820, 666, 1118, 513, 1713, 3017, 538, 519, 3803, 1587, 563, 16729, 891, 4388, 267, 596, 666, 3082, 707, 8970, 30103, 11600, 1210, 1216, 3079, 540, 5144, 1247, 4509, 513, 14909, 6492, 543, 9403, 269, 15331, 532, 609, 3606, 5820, 666, 849, 948, 1711, 513, 2189, 543, 29316, 8970, 30103, 602, 17015, 707, 7375, 563, 288, 11822, 4826, 15369, 12397, 30103, 1234, 10360, 454, 272, 269, 2776, 17742, 519, 744, 1597, 281, 2776, 17742, 707, 14089, 547, 476, 28883, 13790, 630, 13136, 9180, 1040, 1411, 666, 849, 1747, 513, 5641, 268, 1241, 1236, 32576, 538, 519, 14089, 1247, 840, 515, 908, 547, 1711, 513, 5743, 6853, 12933, 563, 273, 269, 16259, 519, 7754, 281, 13983, 848, 606, 476, 279, 9943, 279, 20878, 11256, 8670, 610, 513, 5641, 268, 1241, 1236, 32576, 952, 596, 4782, 513, 5743, 6853, 12933, 269, 1403, 596, 2461, 1210, 513, 1236, 32576, 267, 621, 666, 849, 581, 24667, 730, 538, 519, 14089, 1247, 6067, 2084, 563, 274, 269, 17186, 519, 16959, 23123, 281, 769, 513, 11544, 12826, 267, 9192, 519, 8970, 22596, 267, 782, 26928, 7912, 267, 4006, 267, 11256, 8869, 267, 543, 6070, 269, 634, 3819, 5820, 1058, 581, 5916, 538, 513, 12826, 563, 275, 269, 28799, 22911, 23123, 281, 769, 1776, 12826, 267, 3575, 519, 1216, 267, 24268, 7423, 630, 528, 10448, 3282, 1070, 543, 5798, 2394, 1134, 5916, 563, 276, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12663, 18748, 5253, 8232, 454, 4415, 519, 12176, 540, 519, 6576, 27138, 330, 9627, 2112, 593, 4924, 269, 476, 2190, 267, 476, 1708, 273, 267, 5527, 781, 1426, 3354, 6433, 1631, 13514, 606, 16650, 3463, 547, 922, 4346, 269, 634, 17866, 1533, 540, 5527, 781, 1426, 3354, 11710, 689, 519, 6694, 5823, 781, 17418, 547, 3132, 2614, 23611, 9274, 267, 2523, 10568, 543, 3282, 572, 2644, 267, 547, 2743, 1256, 3368, 540, 519, 2197, 781, 6469, 3747, 269, 595, 23879, 12346, 593, 1804, 12531, 540, 8185, 13564, 1242, 20558, 547, 2327, 6190, 543, 10097, 7727, 540, 3694, 543, 10448, 3282, 585, 922, 476, 10755, 2929, 4961, 269, 27116, 1005, 1346, 7727, 814, 3366, 5527, 547, 1831, 519, 1158, 781, 4102, 791, 7163, 540, 10568, 543, 1851, 519, 1158, 781, 1283, 476, 1015, 791, 13024, 540, 30011, 3282, 269, 769, 476, 1708, 272, 267, 595, 23879, 729, 2907, 6849, 1426, 10637, 2157, 711, 2938, 2094, 519, 6259, 11354, 3540, 19727, 513, 8717, 4505, 602, 547, 653, 1194, 519, 2229, 540, 5449, 5518, 670, 657, 14269, 631, 889, 541, 752, 269, 2991, 5216, 1296, 540, 2324, 1028, 573, 28204, 547, 2322, 5527, 781, 2804, 2777, 1394, 538, 1931, 267, 519, 2229, 540, 5518, 19869, 601, 6363, 3430, 1695, 1714, 4149, 27599, 568, 1631, 13974, 7925, 547, 6607, 13702, 7566, 1426, 3790, 602, 616, 8757, 6578, 31771, 2157, 563, 763, 6576, 27138, 330, 9627, 2112, 3032, 777, 738, 539, 5777, 547, 5667, 20980, 2157, 585, 5527, 267, 2810, 519, 1942, 540, 10568, 676, 606, 3606, 476, 4510, 260, 543, 602, 540, 30011, 3282, 676, 476, 3953, 260, 12303, 16074, 269, 4634, 811, 13542, 727, 267, 519, 2112, 849, 27938, 5527, 781, 2168, 3761, 2094, 476, 5952, 260, 540, 922, 10568, 2501, 689, 6576, 543, 12907, 267, 607, 1281, 476, 10463, 260, 540, 922, 30011, 3282, 269, 2060, 2534, 693, 12907, 781, 16788, 693, 513, 2347, 1796, 560, 650, 267, 5527, 2907, 2115, 547, 1265, 4244, 14273, 269, 589, 2417, 15583, 566, 602, 13515, 782, 4563, 7256, 18666, 1223, 849, 1491, 6739, 7727, 1055, 519, 2344, 609, 21472, 1198, 269, 2060, 827, 2185, 3275, 540, 10568, 14425, 267, 5527, 666, 2743, 519, 4161, 269, 12846, 267, 547, 798, 865, 267, 595, 23879, 786, 991, 547, 1491, 7525, 543, 23801, 2962, 267, 799, 666, 581, 1500, 1256, 811, 2500, 609, 519, 12905, 1489, 540, 922, 1977, 543, 3864, 4891, 563, 29272, 770, 13116, 585, 6820, 5253, 454, 763, 2112, 538, 12907, 786, 8710, 519, 2518, 3761, 543, 1942, 540, 1426, 267, 519, 20148, 540, 835, 540, 519, 1158, 779, 7887, 13226, 3549, 814, 1767, 267, 519, 18917, 4080, 563, 312, 4673, 4139, 267, 799, 13333, 538, 811, 982, 476, 2568, 2477, 267, 1207, 903, 9645, 5666, 540, 1898, 6151, 2326, 689, 6576, 563, 293, 23459, 16014, 5777, 941, 2907, 1164, 1813, 547, 865, 2130, 17783, 1446, 3154, 5777, 563, 18183, 12787, 267, 5274, 9107, 19822, 538, 12907, 774, 17816, 8892, 454, 17471, 5253, 8232, 607, 31245, 22547, 563, 763, 5571, 4655, 538, 12907, 814, 2813, 711, 1152, 606, 7525, 19493, 6433, 855, 849, 513, 3463, 547, 2104, 2518, 1426, 3354, 538, 519, 1106, 540, 8375, 5777, 543, 8519, 2504, 7207, 267, 10529, 5143, 519, 8232, 7027, 2221, 267, 25967, 1681, 519, 991, 547, 2712, 326, 1836, 2232, 891, 2152, 1996, 519, 20457, 540, 6739, 543, 21977, 15518, 725, 5870, 585, 16395, 538, 594, 30955, 563, 308, 330, 9627, 2112, 1412, 13906, 770, 13116, 585, 2518, 1426, 7055, 763, 2112, 538, 12907, 786, 5838, 513, 8710, 547, 519, 2518, 3761, 543, 1942, 540, 1426, 267, 519, 20148, 540, 835, 540, 519, 1158, 781, 7887, 13226, 3549, 814, 1767, 563, 312, 4673, 4139, 267, 799, 13333, 538, 811, 982, 476, 2568, 2477, 267, 1207, 903, 9645, 5666, 540, 1898, 6151, 2326, 689, 6576, 563, 293, 23459, 6500, 5777, 941, 2907, 1164, 1813, 547, 865, 2130, 17783, 1446, 3154, 5777, 563, 312, 4673, 781, 20148, 267, 590, 557, 514, 570, 648, 4591, 3553, 615, 267, 814, 19230, 519, 3510, 1223, 1205, 1256, 27162, 615, 563, 257, 28830, 616, 4657, 676, 519, 5662, 2437, 646, 5143, 519, 18917, 563, 20442, 941, 2907, 538, 513, 2352, 3510, 1354, 519, 2112, 1862, 543, 1631, 621, 781, 3606, 17522, 547, 519, 3761, 11800, 543, 649, 2811, 3478, 2673, 547, 519, 1034, 1271, 851, 540, 713, 4005, 585, 519, 8832, 21571, 267, 1141, 513, 2603, 540, 6992, 16014, 2115, 547, 1847, 593, 543, 602, 786, 3833, 2693, 581, 12936, 4799, 305, 17892, 543, 12907, 616, 930, 540, 519, 7887, 12696, 538, 6683, 543, 1426, 11451, 563, 305, 17892, 849, 7472, 11999, 5567, 267, 899, 1494, 1662, 543, 19552, 910, 2565, 5820, 538, 6992, 23924, 267, 799, 5512, 2371, 543, 7031, 547, 1332, 563, 257, 295, 2788, 519, 1158, 781, 2551, 4991, 1426, 607, 513, 1267, 540, 6992, 23924, 1862, 543, 952, 602, 781, 6569, 689, 519, 2361, 585, 930, 7031, 267, 1496, 1492, 6556, 316, 786, 6749, 676, 476, 2004, 260, 2437, 6004, 4591, 3553, 615, 1767, 563, 257, 2690, 803, 267, 621, 781, 711, 2436, 649, 616, 3001, 883, 513, 2518, 1426, 6433, 910, 621, 781, 875, 1804, 519, 6433, 786, 581, 4799, 14367, 2754, 814, 2907, 1044, 4299, 676, 519, 4655, 1310, 513, 23828, 5734, 962, 4673, 781, 5604, 538, 19109, 643, 269, 634, 476, 1556, 5234, 941, 21379, 28534, 563, 763, 21785, 2861, 2754, 3884, 1405, 2047, 4299, 676, 24476, 1996, 6576, 855, 814, 547, 4308, 609, 519, 2887, 13050, 269, 8347, 532, 547, 5150, 5838, 625, 814, 1831, 811, 2352, 1813, 547, 17522, 538, 519, 11288, 2872, 563, 9617, 3108, 1310, 6004, 4591, 3553, 615, 12038, 547, 519, 18917, 267, 519, 6739, 2229, 24016, 922, 12696, 547, 26699, 6992, 16014, 18666, 563, 3891, 11329, 856, 602, 827, 513, 10116, 540, 519, 1883, 5567, 1031, 538, 3864, 1426, 2504, 2097, 689, 6576, 563, 257, 4263, 519, 1482, 942, 649, 2811, 3257, 8726, 649, 666, 798, 693, 519, 4090, 547, 849, 1265, 3606, 2959, 269, 1809, 609, 971, 2110, 28868, 621, 781, 3908, 2437, 646, 1767, 1354, 519, 3377, 7153, 563, 22860, 7370, 723, 849, 19230, 602, 519, 1847, 1131, 1611, 2362, 3790, 585, 6705, 543, 2539, 7693, 11729, 269, 2334, 1223, 3049, 998, 883, 1256, 2362, 3790, 585, 1426, 563, 301, 19153, 5749, 1405, 519, 1152, 3815, 547, 2015, 267, 2901, 563, 295, 4007, 5666, 540, 2067, 3154, 616, 2877, 547, 3132, 20342, 267, 519, 1883, 12146, 538, 9436, 6992, 16014, 269, 962, 4673, 4139, 12346, 593, 5318, 9424, 540, 6739, 3154, 585, 922, 3864, 2371, 563, 8310, 1032, 267, 621, 729, 7142, 547, 17303, 7080, 754, 2504, 540, 827, 476, 2412, 260, 540, 922, 4390, 538, 2342, 1317, 540, 519, 21782, 538, 519, 3902, 540, 17783, 1446, 3154, 269, 4033, 12696, 849, 2759, 7727, 563, 23382, 1441, 609, 2362, 11288, 3928, 267, 24476, 593, 5617, 22654, 630, 534, 1278, 2101, 1494, 1662, 18261, 264, 543, 3665, 4365, 910, 713, 19430, 513, 2462, 7914, 538, 6992, 16014, 5777, 2063, 1032, 267, 4946, 547, 513, 10006, 538, 1426, 5777, 563, 763, 2754, 3081, 621, 781, 1818, 1554, 3562, 6377, 20241, 593, 875, 547, 2226, 3761, 543, 602, 621, 568, 1932, 2038, 547, 2161, 952, 811, 9505, 23957, 949, 581, 593, 519, 6486, 563, 2005, 26342, 621, 814, 513, 834, 854, 2178, 17185, 257, 547, 1832, 2504, 4881, 693, 1018, 621, 6257, 607, 513, 2565, 1448, 563, 3719, 962, 4673, 781, 20148, 3081, 519, 1158, 1590, 267, 538, 519, 1279, 3856, 267, 2569, 922, 21341, 593, 6576, 585, 2518, 1426, 2504, 563, 257, 4002, 519, 835, 1688, 267, 649, 2811, 3843, 547, 1832, 6992, 16014, 13576, 547, 519, 6705, 547, 1832, 909, 519, 6694, 11729, 563, 257, 4263, 519, 1482, 942, 1862, 972, 814, 547, 581, 513, 2178, 5114, 269, 1284, 18149, 333, 519, 6739, 4108, 12289, 540, 12907, 865, 713, 568, 513, 14196, 543, 835, 602, 18367, 569, 568, 1360, 2352, 4799, 20458, 1689, 543, 3395, 5095, 1185, 2907, 1044, 4946, 547, 519, 2591, 519, 2518, 1426, 2504, 1062, 8188, 910, 782, 1354, 519, 6855, 3323, 563, 763, 962, 4673, 4139, 8783, 10324, 6257, 519, 2112, 607, 834, 320, 31685, 593, 1283, 540, 513, 31685, 2580, 10223, 1175, 875, 7925, 547, 28654, 519, 2518, 1426, 3761, 5832, 1631, 568, 563, 2005, 786, 2333, 1426, 22584, 538, 25013, 2477, 267, 646, 8591, 563, 20442, 723, 547, 1832, 538, 2247, 602, 538, 519, 2063, 1079, 1296, 267, 972, 781, 1044, 606, 2333, 540, 476, 1911, 2929, 811, 1004, 602, 979, 547, 5127, 17237, 1862, 865, 585, 713, 547, 2097, 593, 1283, 540, 621, 568, 2731, 20468, 4799, 3963, 519, 2782, 538, 12907, 21784, 839, 6820, 5253, 8232, 454, 5415, 982, 3670, 4374, 883, 6576, 779, 12289, 540, 12907, 267, 972, 779, 1100, 1439, 547, 519, 4655, 602, 814, 695, 809, 519, 1158, 547, 922, 1360, 4295, 269, 31035, 689, 519, 10373, 7092, 3361, 676, 6576, 779, 14699, 538, 519, 12907, 267, 519, 2112, 568, 849, 2348, 2101, 29854, 1472, 519, 1158, 267, 2523, 593, 1426, 3354, 269, 634, 2212, 540, 519, 2136, 8315, 2622, 5253, 19510, 6424, 2142, 553, 569, 5063, 19230, 602, 519, 2112, 729, 2870, 513, 1426, 6433, 968, 2041, 3219, 4376, 649, 4076, 2938, 2094, 2622, 2782, 4083, 267, 2108, 3056, 547, 1147, 3101, 1426, 5777, 543, 7654, 22520, 538, 1082, 2477, 602, 7048, 593, 18666, 689, 6576, 610, 12907, 563, 2026, 519, 1739, 5750, 267, 1759, 593, 1239, 689, 519, 5253, 543, 11982, 9257, 540, 519, 2136, 8315, 630, 11902, 302, 1070, 2982, 267, 12907, 543, 6576, 616, 2101, 12696, 540, 10568, 267, 24061, 543, 22959, 267, 8051, 585, 606, 3328, 630, 18474, 1441, 264, 2671, 540, 476, 2767, 267, 476, 2537, 543, 476, 1428, 2600, 540, 2518, 18666, 1063, 476, 1001, 277, 543, 476, 1708, 271, 267, 6606, 269, 4634, 519, 2622, 5253, 19510, 3294, 4991, 476, 2004, 2600, 540, 922, 10286, 7727, 689, 519, 12907, 7304, 17892, 1858, 543, 568, 1631, 6849, 10565, 1942, 4679, 538, 922, 3646, 547, 8396, 1426, 18002, 1472, 519, 1158, 563, 22154, 568, 513, 31685, 593, 1283, 540, 513, 31685, 2223, 654, 17025, 10615, 2142, 553, 2917, 1767, 267, 13288, 547, 519, 14042, 1198, 519, 13044, 268, 866, 6855, 814, 1185, 593, 1158, 14000, 269, 4340, 547, 519, 6167, 3919, 267, 519, 1297, 540, 1004, 6849, 8650, 1426, 22584, 1185, 29860, 689, 476, 13670, 2929, 547, 476, 28510, 2929, 2094, 476, 1001, 280, 1107, 543, 602, 779, 711, 1256, 2921, 519, 4655, 538, 12907, 883, 2272, 269, 769, 2698, 267, 811, 982, 476, 8517, 2929, 3068, 14000, 1472, 519, 1158, 267, 1247, 476, 4510, 2929, 1004, 538, 476, 4343, 2477, 616, 751, 564, 1359, 593, 519, 6316, 540, 26380, 267, 2687, 547, 654, 17025, 563, 763, 4128, 585, 14000, 543, 1426, 22584, 616, 1082, 543, 4268, 689, 2197, 547, 2197, 267, 855, 3622, 267, 621, 568, 513, 1267, 540, 4655, 267, 6710, 267, 2804, 28654, 971, 607, 5409, 8882, 3175, 543, 8375, 20161, 5777, 543, 2825, 28654, 971, 607, 14700, 610, 10980, 563, 12850, 20317, 666, 1611, 20317, 538, 8244, 1813, 547, 2168, 17732, 2676, 528, 20317, 538, 1569, 1813, 547, 519, 5821, 540, 5238, 547, 2327, 513, 2834, 3761, 610, 1813, 547, 513, 3668, 540, 7850, 5989, 563, 299, 5308, 306, 5508, 19739, 302, 5937, 4353, 8991, 14510, 454, 20062, 2969, 4959, 19739, 7495, 4353, 8991, 14510, 700, 5308, 306, 269, 26085, 2530, 4016, 547, 519, 7771, 610, 14897, 766, 540, 6211, 4763, 267, 6956, 607, 519, 3099, 540, 2713, 1919, 602, 9468, 519, 4541, 267, 922, 1114, 2157, 540, 6211, 13539, 543, 741, 9757, 4719, 13260, 563, 1432, 616, 519, 476, 276, 2014, 540, 2916, 1689, 888, 763, 1292, 3123, 540, 2916, 1689, 616, 281, 5274, 640, 781, 2799, 946, 540, 8093, 10173, 454, 1700, 971, 607, 5755, 267, 3282, 543, 3154, 547, 5352, 454, 26104, 640, 267, 2196, 6517, 543, 824, 3029, 540, 454, 10520, 1636, 267, 543, 1379, 5663, 543, 2872, 269, 667, 4078, 23667, 454, 299, 5308, 306, 5508, 700, 4353, 5085, 296, 9816, 7495, 454, 5278, 12469, 3441, 454, 8882, 5509, 543, 8134, 454, 24207, 585, 4747, 5108, 610, 6382, 4894, 610, 2569, 519, 1761, 585, 1004, 547, 7118, 513, 2713, 563, 763, 2333, 538, 519, 1297, 540, 20404, 666, 3565, 547, 4655, 538, 27540, 8391, 2127, 538, 1082, 1114, 2081, 269, 901, 9832, 689, 6735, 936, 2067, 543, 2804, 2200, 267, 6803, 13253, 267, 14227, 13253, 543, 11411, 593, 5989, 543, 2533 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 657, 269, 4289, 323, 597, 9638, 987, 24270, 834, 2467, 1590, 581, 1152, 5286, 344, 6119, 538, 2619, 2715, 271, 348, 2668, 8971, 9638, 987, 2020, 1038, 1948, 18570, 519, 6119, 676, 519, 4994, 18772, 538, 1142, 3758, 2012, 454, 1038, 5286, 344, 6958, 12849, 815, 15044, 3799, 6853, 6958, 12849, 267, 1883, 284, 14433, 533, 281, 703, 9638, 21858, 2891, 318, 8442, 314, 271, 28413, 1038, 2934, 815, 1496, 12639, 269, 2903, 263, 657, 29624, 12459, 7765, 9638, 987, 267, 535, 4067, 4917, 7386, 585, 535, 4067, 538, 5286, 344, 6958, 12849, 2639, 1038, 2934, 815, 5286, 15126, 6600, 324, 2137, 994, 1038, 2132, 2934, 269, 31412, 9230, 10623, 2137, 17482, 314, 271, 316, 2608, 2934, 17482, 314, 272, 16689, 14030, 2934, 17482, 314, 273, 8079, 2020, 825, 1219, 2328, 4311, 267, 2619, 281, 1193, 267, 5286, 344, 6958, 4067, 281, 1193, 267, 5286, 344, 281, 5286, 269, 526, 6783, 264, 9847, 7183, 912, 1038, 5727, 6396, 547, 2328, 513, 5286, 344, 3758, 538, 519, 2619, 5293, 692, 1038, 30352, 912, 1038, 2619, 281, 1193, 454, 2018, 2619, 547, 519, 17835, 547, 2328, 519, 1007, 5286, 344, 3758, 454, 1038, 5286, 344, 6958, 4067, 281, 1193, 454, 2018, 2012, 540, 519, 1007, 5286, 344, 3758, 454, 1038, 5286, 344, 281, 5286, 269, 526, 6783, 454, 2018, 1543, 540, 519, 1007, 5286, 344, 3758, 454, 1038, 8173, 1038, 1582, 14857, 16386, 318, 529, 5332, 6853, 3799, 6853, 6958, 4067, 2020, 1038, 952, 15259, 29624, 18994, 323, 597, 9638, 987, 264, 568, 8771, 912, 2018, 15259, 6230, 330, 323, 597, 9638, 987, 2020, 1038, 2328, 24786, 815, 15259, 29624, 12459, 7765, 9638, 987, 267, 5286, 344, 6958, 4067, 994, 1038, 5286, 4732, 1511, 26028, 1679, 24786, 267, 5286, 344, 2020, 825, 1219, 1293, 5332, 6853, 6958, 3796, 4311, 267, 2619, 281, 1193, 264, 9847, 703, 912, 1038, 5727, 6396, 602, 12523, 519, 1297, 540, 6119, 538, 513, 17835, 692, 1038, 30352, 454, 1038, 28612, 734, 454, 1038, 2619, 281, 1193, 454, 2018, 2619, 547, 519, 17835, 1141, 519, 1505, 1058, 1293, 519, 1297, 540, 5286, 344, 454, 2018, 6119, 692, 1038, 16849, 454, 1038, 476, 9339, 8894, 1038, 703, 454, 2018, 16849, 519, 1297, 540, 6119, 538, 513, 17835, 454, 1038, 8173, 1038, 952, 15259, 29624, 18994, 323, 597, 9638, 987, 264, 568, 8771, 912, 2018, 2132, 476, 271, 692, 1038, 2132, 7003, 8443, 454, 2018, 535, 333, 585, 535, 333, 538, 15259, 269, 4289, 323, 597, 9638, 987, 264, 952, 1582, 14857, 16386, 318, 529, 5332, 6853, 6600, 333, 994, 1038, 9948, 2020, 825, 1219, 6449, 16386, 318, 529, 5332, 6853, 4311, 267, 535, 4067, 281, 1193, 2187, 1038, 5727, 6396, 602, 7024, 3020, 952, 519, 10137, 540, 513, 3758, 2012, 568, 5286, 344, 692, 1038, 30352, 454, 1038, 28612, 734, 454, 1038, 535, 4067, 281, 1193, 454, 2018, 513, 3758, 2012, 692, 1038, 16849, 454, 1038, 476, 9339, 8894, 1038, 1630, 18978, 454, 2018, 16849, 6936, 952, 519, 10137, 568, 5286, 344, 6382, 8771, 454, 1038, 8173, 1038, 2132, 834, 333, 6853, 257, 2652, 535, 4067, 21858, 2891, 1701, 264, 15631, 272, 2639, 0, 12163, 17653, 2209, 679, 10179, 908, 1919, 630, 324, 3052, 269, 519, 32311, 1023, 1916, 20701, 5814, 621, 1068, 8962, 454, 5814, 1623, 6853, 607, 861, 692, 3698, 6906, 318, 28776, 3799, 2187, 825, 5727, 262, 333, 781, 476, 271, 268, 8161, 539, 2990, 538, 519, 5311, 540, 6906, 2338, 267, 17031, 1524, 630, 8421, 562, 264, 12163, 825, 952, 562, 2999, 476, 273, 912, 1038, 2132, 562, 454, 825, 3138, 815, 476, 271, 454, 825, 28624, 815, 562, 454, 825, 1247, 3138, 2999, 28624, 910, 476, 272, 912, 1038, 4571, 815, 630, 5979, 1341, 28624, 264, 12262, 476, 273, 454, 1038, 952, 6906, 9852, 573, 264, 2652, 562, 912, 2018, 2132, 4571, 454, 1038, 952, 6906, 9852, 573, 264, 2999, 562, 912, 2018, 3138, 815, 4571, 454, 1038, 3116, 912, 2018, 28624, 815, 4571, 454, 825, 2132, 3138, 692, 3698, 6906, 3799, 2187, 825, 5727, 262, 333, 1405, 327, 6906, 1297, 12163, 825, 2132, 630, 333, 2608, 630, 333, 1341, 476, 272, 4297, 12262, 476, 273, 692, 3698, 562, 333, 318, 520, 23544, 3799, 267, 3077, 2187, 825, 5727, 718, 1412, 333, 262, 268, 14654, 1255, 540, 1875, 24308, 9981, 4171, 2040, 568, 4010, 1412, 339, 13759, 262, 12163, 825, 952, 562, 2652, 476, 272, 912, 1038, 6556, 630, 339, 13759, 267, 994, 825, 3116, 912, 1038, 585, 1775, 538, 2039, 6025, 13759, 2187, 2018, 585, 512, 1575, 538, 562, 333, 318, 520, 23544, 3799, 910, 476, 272, 267, 3077, 910, 1775, 2187, 3546, 6556, 630, 328, 267, 264, 1341, 512, 1575, 692, 3698, 562, 333, 3799, 2187, 825, 5727, 718, 1412, 333, 262, 268, 14654, 1255, 540, 1875, 24308, 9981, 538, 1931, 540, 26799, 2040, 12163, 825, 6556, 630, 271, 267, 12684, 333, 454, 825, 585, 1775, 538, 621, 1068, 8962, 29644, 263, 272, 2187, 1038, 6556, 689, 562, 333, 318, 520, 23544, 3799, 267, 1775, 2020, 3698, 782, 5334, 793, 338, 6025, 1575, 2187, 825, 5727, 718, 2009, 1129, 10659, 540, 519, 2016, 24042, 12163, 825, 952, 7003, 6025, 1575, 264, 2652, 476, 271, 912, 1038, 6556, 630, 994, 825, 3116, 912, 1038, 2212, 815, 512, 1575, 314, 271, 2639, 1038, 2766, 815, 512, 1575, 314, 272, 281, 2639, 1038, 585, 512, 538, 782, 5334, 793, 338, 6025, 841, 2187, 2018, 6556, 630, 3650, 267, 264, 1341, 512, 454, 2018, 952, 2212, 11203, 476, 271, 912, 3546, 6556, 11196, 3650, 267, 264, 1341, 512, 692, 3698, 678, 548, 9217, 2567, 1948, 1775, 3436, 476, 271, 267, 4990, 320, 563, 825, 5727, 321, 2435, 2196, 27480, 17683, 540, 1412, 328, 262, 12163, 825, 2196, 815, 476, 271, 454, 825, 7857, 815, 476, 272, 454, 825, 1247, 1775, 912, 1038, 952, 1775, 1299, 476, 272, 2652, 7857, 912, 2018, 2196, 6834, 476, 272, 454, 1038, 3116, 912, 2018, 6556, 2196, 454, 2018, 2196, 815, 476, 272, 454, 2018, 7857, 9745, 284, 476, 272, 454, 1038, 1775, 815, 1775, 23645, 476, 272, 454, 825, 6556, 2196, 692, 3698, 1608, 7219, 16062, 559, 325, 9217, 2567, 1948, 1775, 3436, 476, 271, 454, 825, 5727, 262, 328, 1405, 327, 7787, 538, 513, 4560, 23867, 21986, 531, 540, 519, 595, 1779, 514, 8862, 559, 325, 3529, 12163, 825, 2132, 861, 269, 11666, 4240, 6958, 3555, 23631, 706, 576, 16868, 548, 9217, 11723, 3698, 782, 318, 7806, 3799, 2187, 825, 5727, 718, 540, 1422, 304, 18898, 267, 10199, 26799, 538, 2450, 630, 23605, 264, 12163, 825, 585, 512, 1575, 538, 562, 333, 3799, 2187, 1038, 14148, 815, 24042, 9852, 777, 6262, 1779, 514, 16062, 559, 325, 267, 512, 1575, 4917, 1038, 6556, 689, 782, 5334, 793, 338, 16868, 1846, 994, 0, 1721, 1449, 6831, 848, 538, 2039, 263, 272, 267, 703, 9272, 28829, 1341, 476, 272, 2187, 825, 1193, 8217, 815, 1592, 9272, 15405, 825, 562, 815, 7003, 19304, 8217, 994, 825, 2451, 815, 18358, 263, 3299, 1412, 346, 23300, 825, 1318, 815, 1496, 10807, 3299, 1412, 348, 23300, 825, 1267, 815, 476, 272, 454, 825, 10518, 815, 11713, 825, 585, 521, 538, 1193, 8217, 912, 1038, 952, 521, 538, 2451, 912, 2018, 10518, 6910, 4433, 994, 1038, 8640, 521, 538, 1318, 912, 2018, 952, 7003, 263, 23637, 264, 2652, 476, 271, 912, 3546, 1267, 815, 476, 271, 454, 3546, 2736, 454, 2018, 8640, 1318, 28827, 4433, 264, 11203, 2451, 28827, 263, 23637, 15631, 272, 316, 2187, 3546, 1267, 815, 476, 271, 454, 3546, 2736, 454, 2018, 3116, 912, 3546, 10518, 21014, 4590, 825, 952, 7003, 263, 23637, 264, 11203, 476, 271, 912, 1038, 1267, 815, 476, 271, 692, 825, 1820, 3488, 258, 24001, 15079, 8339, 8971, 6025, 652, 6831, 848, 267, 1267, 4917, 0, 5035, 10960, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 2187, 1038, 1582, 20508, 815, 2012, 22562, 825, 1219, 3802, 4311, 2187, 1038, 1820, 6600, 262, 346, 1345, 20508, 348, 256, 21844, 365, 371, 32629, 498, 30319, 256, 17210, 825, 1219, 3548, 4311, 2187, 1038, 1820, 6600, 262, 346, 1345, 20508, 348, 256, 14091, 357, 373, 32629, 498, 30319, 256, 17210, 5035, 13928, 263, 27154, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 2187, 1038, 2706, 14061, 1029, 8181, 9191, 4067, 994, 825, 1219, 3802, 4311, 2187, 1038, 2706, 14061, 19769, 4590, 8931, 825, 1219, 13626, 4311, 2187, 1038, 1820, 6600, 262, 346, 1345, 20508, 348, 256, 10563, 356, 500, 32629, 498, 30319, 256, 17210, 5035, 16819, 263, 27154, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 4067, 2187, 1038, 2706, 14061, 1029, 8181, 9191, 4067, 994, 825, 1219, 3802, 4311, 2187, 1038, 2706, 14061, 19769, 4590, 8931, 825, 1219, 3548, 4311, 2187, 1038, 2706, 14061, 324, 520, 4590, 8931, 825, 1219, 8038, 4311, 2187, 1038, 1820, 6600, 262, 346, 1345, 20508, 348, 256, 29030, 495, 372, 423, 497, 506, 423, 491, 499, 256, 17210, 27594, 815, 13928, 3488, 423, 358, 491, 423, 358, 491, 27338, 5073, 27594, 9884, 1779, 4590, 27594, 12500, 1046, 10797, 12704, 815, 16819, 3488, 422, 369, 361, 422, 369, 361, 5073, 12704, 9884, 1779, 4590, 12704, 4318, 520, 4590, 12704, 8807, 569, 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 ]
[ 0, 3848, 476, 276, 281, 10289, 5824, 3013, 998, 8535, 543, 19933, 692, 8702, 1394, 267, 17701, 256, 1284, 4126, 596, 616, 11981, 938, 3460, 998, 5824, 1977, 2528, 269, 901, 3184, 786, 6338, 596, 547, 519, 7524, 1158, 540, 2575, 543, 7544, 538, 5824, 3013, 269, 3245, 521, 1023, 320, 547, 544, 926, 25764, 267, 972, 779, 865, 1454, 547, 3605, 2439, 24523, 543, 7544, 723, 2141, 5129, 513, 1713, 1909, 538, 5935, 5824, 1977, 4529, 269, 3962, 2197, 814, 922, 2189, 11733, 267, 23260, 267, 543, 5322, 602, 2992, 741, 1686, 267, 5389, 267, 543, 2418, 269, 1635, 1565, 827, 891, 2686, 7215, 267, 649, 666, 1732, 1174, 519, 1004, 945, 2661, 972, 543, 5660, 741, 3638, 6561, 780, 4131, 781, 1376, 676, 3695, 930, 2442, 7574, 6163, 538, 5824, 3013, 269, 590, 1023, 320, 267, 23608, 689, 18010, 543, 17896, 22656, 267, 10905, 3979, 18819, 609, 3864, 7405, 971, 607, 25041, 1115, 543, 32058, 657, 269, 898, 781, 1634, 585, 922, 3728, 32171, 267, 6946, 3723, 1740, 267, 543, 17615, 12644, 269, 25795, 25764, 267, 513, 2757, 11204, 9135, 267, 2934, 5569, 539, 7405, 899, 1368, 527, 1513, 543, 3423, 1231, 10483, 676, 28712, 269, 4706, 18405, 1419, 2995, 2984, 540, 2648, 267, 2530, 267, 543, 11812, 269, 595, 3518, 807, 267, 1776, 18207, 1014, 5172, 267, 24025, 6805, 267, 3979, 267, 543, 3864, 7506, 4611, 538, 6952, 344, 26107, 543, 9159, 7544, 7575, 780, 3086, 1577, 781, 4685, 4514, 883, 1620, 875, 1893, 4249, 513, 2629, 1909, 538, 11589, 4664, 543, 23187, 6835, 998, 8964, 269, 5994, 6947, 547, 513, 5152, 1141, 519, 22256, 6612, 2299, 5186, 976, 834, 974, 844, 1512, 334, 257, 630, 296, 2648, 596, 264, 8957, 519, 811, 13680, 8360, 834, 1889, 31830, 553, 257, 630, 296, 899, 596, 1040, 2052, 596, 1745, 519, 3017, 286, 9293, 543, 2453, 1031, 538, 513, 5152, 1711, 1114, 30181, 267, 6655, 1585, 14556, 885, 540, 4606, 267, 543, 948, 1305, 519, 6429, 780, 11101, 267, 1082, 5824, 1977, 5159, 946, 27325, 2474, 1572, 834, 5632, 6759, 257, 799, 8591, 13597, 543, 6237, 8137, 547, 741, 15885, 269, 1323, 1383, 1131, 581, 1210, 1412, 3832, 3164, 262, 3079, 540, 1412, 25975, 523, 334, 262, 538, 1978, 2694, 540, 6239, 3013, 269, 4635, 2199, 22463, 2636, 19700, 547, 1921, 811, 703, 2954, 609, 1312, 519, 1685, 518, 543, 519, 3148, 789, 2099, 780, 2414, 3142, 713, 9800, 267, 4952, 1373, 693, 513, 18512, 535, 625, 3279, 538, 6792, 4975, 269, 1306, 596, 3802, 1472, 267, 596, 5873, 21527, 22551, 532, 834, 382, 350, 307, 659, 657, 267, 6864, 6403, 1609, 17505, 17485, 803, 329, 2803, 512, 659, 657, 10590, 630, 307, 659, 657, 267, 936, 1934, 616, 519, 1655, 3283, 14386, 1247, 3214, 1404, 2685, 751, 848, 1142, 824, 10912, 873, 834, 326, 6686, 5674, 2437, 2147, 547, 546, 8775, 610, 5493, 269, 2311, 3781, 6420, 267, 950, 3025, 5531, 338, 585, 513, 2146, 7544, 267, 15185, 32022, 9900, 896, 2571, 8654, 13465, 2059, 547, 11509, 3440, 6758, 4904, 609, 1913, 899, 3186, 3626, 630, 325, 622, 1070, 1351, 1794, 11252, 630, 24711, 1070, 543, 993, 528, 630, 331, 913, 1040, 6496, 333, 1405, 602, 3280, 9589, 2496, 2026, 596, 3136, 4974, 5053, 267, 3314, 602, 13215, 6863, 3884, 1405, 1175, 827, 8357, 1944, 16627, 282, 621, 3322, 9284, 532, 3054, 538, 519, 2796, 543, 7553, 3297, 1346, 1913, 269, 3807, 899, 875, 4778, 1039, 3178, 547, 3308, 1148, 267, 1913, 1102, 2224, 1272, 543, 2495, 883, 10409, 13144, 780, 1103, 3932, 267, 2575, 543, 7544, 2709, 721, 9486, 883, 519, 20339, 540, 5824, 4892, 269, 1358, 1450, 721, 547, 1995, 20250, 519, 3675, 903, 267, 22408, 4900, 267, 13922, 267, 543, 9909, 540, 6634, 2066, 1079, 17407, 269, 1924, 2322, 593, 707, 15472, 10887, 267, 10544, 707, 30069, 267, 543, 6443, 721, 607, 649, 9240, 913, 547, 519, 22539, 20054, 540, 5824, 3013, 2439, 8855, 267, 1169, 2262, 6927, 267, 2523, 950, 19610, 609, 519, 1318, 19820, 269, 19402, 1985, 942, 267, 1832, 8026, 707, 1965, 11985, 10722, 565, 543, 3251, 8049, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 12606, 11814, 532, 32085, 4578, 281, 8838, 3065, 5071, 2986, 31401, 1280, 15932, 29425, 454, 12606, 11814, 532, 32085, 4578, 281, 8838, 3065, 5071, 2986, 31401, 1280, 15932, 29425, 454, 11039, 267, 621, 4667, 899, 596, 782, 700, 10976, 3633, 20153, 773, 689, 519, 1007, 4005, 540, 9399, 1626, 269, 594, 729, 1932, 9575, 909, 538, 8384, 519, 1397, 547, 1256, 1294, 713, 695, 527, 11200, 269, 1411, 782, 2907, 1336, 1200, 544, 903, 10628, 1299, 561, 329, 563, 3383, 1934, 781, 930, 533, 1731, 345, 689, 476, 1220, 273, 267, 476, 278, 628, 3446, 1032, 1504, 281, 3683, 519, 3741, 267, 30250, 307, 3123, 13745, 3601, 540, 9021, 711, 849, 538, 5607, 543, 4000, 855, 782, 538, 2342, 543, 519, 17113, 269, 1809, 30250, 307, 3947, 711, 2838, 8547, 538, 519, 1032, 540, 513, 5020, 540, 2326, 2556, 607, 519, 4542, 545, 3926, 543, 519, 6190, 4647, 269, 2368, 3768, 621, 568, 513, 3327, 538, 6031, 1007, 1480, 28963, 543, 9721, 4493, 21662, 476, 1960, 280, 267, 5900, 15546, 1696, 620, 269, 1924, 1018, 1058, 2226, 519, 5478, 4724, 30250, 307, 286, 9701, 621, 21763, 6462, 1317, 540, 922, 8711, 593, 10874, 340, 12028, 543, 922, 1044, 4396, 3312, 1382, 12523, 888, 529, 6126, 1016, 4944, 2167, 543, 4647, 269, 1909, 543, 1118, 713, 1587, 883, 707, 654, 7253, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 31142, 1977, 9177, 3414, 5678, 257, 607, 851, 540, 834, 28765, 22723, 13493, 1315, 5678, 5530, 1315, 5053, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 277, 281, 16368, 28690, 281, 589, 26943, 2435, 22684, 538, 519, 26811, 753, 692, 7072, 692, 763, 3638, 11477, 5389, 540, 519, 16368, 7276, 723, 2451, 606, 30170, 1665, 593, 519, 8819, 25348, 540, 1082, 2413, 6082, 267, 3226, 1346, 13883, 1369, 519, 3140, 6302, 540, 519, 10504, 3294, 269, 901, 3184, 12538, 883, 519, 4241, 1158, 540, 16368, 11951, 543, 7710, 875, 621, 5170, 547, 3337, 4207, 5986, 2853, 538, 519, 26811, 753, 269, 3414, 513, 9488, 6514, 540, 1883, 5820, 267, 2553, 267, 543, 2686, 7506, 267, 596, 3513, 2744, 513, 4514, 7071, 585, 519, 1950, 16799, 1063, 1686, 267, 2528, 267, 543, 1426, 1811, 269, 1284, 2253, 676, 16439, 519, 8129, 540, 16368, 11951, 543, 6313, 922, 24233, 2609, 780, 4089, 476, 272, 281, 17959, 543, 19725, 540, 16368, 28690, 692, 288, 269, 4165, 324, 1027, 757, 281, 5664, 8109, 543, 6239, 7489, 26492, 692, 2414, 1174, 519, 1646, 540, 16368, 11951, 267, 621, 568, 1898, 1101, 547, 2015, 922, 24970, 1027, 757, 538, 5664, 8109, 543, 6239, 7489, 11477, 4529, 269, 1452, 6237, 5389, 3177, 519, 5748, 2390, 799, 16368, 3434, 2044, 1131, 5555, 1628, 269, 6206, 3838, 2609, 3769, 1384, 272, 269, 24581, 946, 540, 14546, 971, 607, 24036, 267, 804, 7174, 267, 3556, 600, 558, 267, 543, 1094, 742, 1258, 3248, 273, 269, 22716, 529, 593, 3500, 2275, 10541, 12403, 338, 543, 2909, 2478, 3248, 274, 269, 654, 7655, 4616, 540, 7573, 267, 4439, 326, 584, 10568, 267, 543, 824, 9274, 3248, 275, 269, 19369, 540, 1585, 2010, 540, 6366, 30103, 338, 3248, 276, 269, 27264, 2409, 899, 4584, 1782, 267, 15018, 267, 543, 7542, 13586, 780, 289, 269, 15875, 28841, 543, 8836, 16510, 692, 2026, 519, 16368, 7276, 9450, 2429, 519, 11335, 16935, 267, 3345, 4000, 267, 14913, 2342, 267, 543, 5375, 5607, 267, 621, 3357, 883, 3346, 609, 3309, 5095, 28429, 2189, 11477, 9821, 269, 9182, 267, 16368, 3434, 2044, 12842, 3875, 4914, 7506, 1247, 8195, 25412, 922, 1378, 10058, 1915, 593, 22482, 11182, 269, 31838, 3344, 540, 713, 5385, 3769, 1384, 272, 269, 4985, 540, 1007, 5820, 630, 324, 3052, 1421, 14274, 267, 11350, 18717, 267, 4212, 17852, 264, 3842, 4123, 5121, 3964, 1282, 519, 6520, 540, 16709, 3248, 273, 269, 29675, 540, 2199, 32258, 547, 9290, 11440, 16919, 630, 324, 3052, 1421, 7004, 540, 14655, 7796, 2378, 10346, 883, 1018, 568, 1631, 1634, 607, 834, 302, 1777, 2674, 7796, 2378, 8442, 3248, 274, 269, 16949, 540, 6014, 267, 4168, 267, 543, 7332, 8192, 4031, 883, 4013, 10051, 10873, 3248, 275, 269, 4886, 540, 7463, 5107, 1369, 19289, 6539, 29353, 630, 324, 3052, 1421, 5094, 22730, 3743, 585, 8600, 10424, 6980, 8957, 4948, 24214, 6393, 290, 269, 20066, 14173, 29353, 281, 15544, 540, 16743, 543, 4676, 710, 618, 692, 4263, 519, 2295, 540, 16368, 11477, 5647, 941, 519, 11440, 5493, 2167, 267, 1034, 16113, 5440, 330, 777, 13799, 7203, 599, 13799, 538, 594, 30955, 269, 10738, 891, 20662, 880, 24284, 267, 9952, 29397, 642, 1221, 585, 3870, 543, 31449, 676, 2870, 2479, 3467, 14969, 8286, 2966, 547, 10508, 519, 521, 23546, 543, 1010, 5480, 4536, 269, 2368, 8037, 2934, 540, 19289, 6539, 29353, 3769, 1384, 272, 269, 6987, 2400, 27487, 10023, 7366, 540, 1114, 3688, 5423, 3232, 3248, 273, 269, 4432, 1987, 622, 6881, 2553, 6322, 693, 791, 7675, 7188, 619, 3248, 274, 269, 631, 2045, 592, 748, 2594, 5329, 267, 4611, 538, 606, 26080, 4015, 540, 3434, 9248, 543, 11600, 22251, 3248, 275, 269, 9751, 3292, 602, 15091, 29095, 1222, 896, 4810, 18544, 780, 4089, 476, 273, 281, 6206, 23123, 543, 2598, 1127, 538, 16368, 28690, 692, 288, 269, 2725, 1846, 543, 623, 15160, 692, 9288, 520, 5129, 513, 3844, 1909, 538, 16368, 11951, 267, 10452, 1312, 519, 5763, 19017, 998, 21037, 543, 519, 3909, 4644, 5116, 593, 3662, 15093, 269, 15019, 16469, 3769, 1384, 272, 269, 30340, 543, 4573, 2023, 281, 10705, 1031, 538, 1183, 321, 11274, 267, 12403, 338, 267, 543, 28077, 5388, 3248, 273, 269, 2142, 1030, 281, 20530, 11395, 569, 12286, 538, 2909, 2213, 8286, 610, 2666, 585, 5779, 27750, 3248, 274, 269, 623, 15160, 281, 26560, 267, 21868, 267, 844, 841, 267, 543, 25190, 517, 941, 4122, 10057, 3248, 275, 269, 10794, 2831, 281, 10469, 2581, 267, 1630, 541, 267, 688, 516, 267, 543, 15529, 7902, 4749, 593, 7333, 21103, 7515, 780, 289, 269, 29641, 543, 29759, 692, 8601, 1373, 31083, 611, 15735, 676, 5779, 8286, 267, 20757, 3681, 705, 15903, 538, 16368, 3434, 2044, 1813, 547, 9099, 8192, 9993, 543, 2804, 13766, 269, 28871, 8246, 3132, 15538, 540, 1384, 272, 269, 17378, 8690, 281, 853, 18393, 12146, 538, 544, 748, 338, 10440, 267, 708, 600, 15922, 843, 328, 267, 543, 824, 22101, 518, 1961, 16654, 21339, 3248, 273, 269, 8751, 10633, 281, 13242, 14916, 538, 27156, 267, 27130, 267, 543, 25235, 3248, 274, 269, 3212, 13827, 281, 5637, 6653, 543, 3905, 8677, 1336, 741, 1259, 883, 1585, 8286, 3248, 275, 269, 21411, 571, 281, 3171, 25733, 30326, 538, 12403, 338, 543, 535, 761, 1562, 3248, 276, 269, 717, 1905, 525, 281, 3117, 25390, 4195, 267, 12015, 267, 610, 5828, 883, 10433, 267, 16693, 267, 610, 9174, 780, 290, 269, 667, 8543, 15733, 692, 291, 8543, 2472, 4371, 1390, 2956, 538, 16368, 11951, 267, 3246, 1454, 32571, 3940, 543, 5567, 1282, 1279, 24475, 950, 4195, 3132, 729, 17077, 269, 6201, 1331, 1384, 272, 269, 962, 690, 4669, 281, 12708, 5057, 538, 4411, 27130, 267, 2427, 8286, 267, 543, 2261, 514, 3547, 3248, 273, 269, 4258, 3150, 281, 7352, 7724, 24132, 689, 2571, 267, 27598, 8747, 2147, 547, 535, 9508, 547, 2182, 267, 9907, 14743, 24188, 540, 623, 1301, 525, 534, 3248, 274, 269, 1849, 582, 1540, 8645, 630, 330, 2727, 752, 2567, 6762, 267, 5394, 4494, 1236, 574, 4364, 1055, 12699, 5144, 267, 1419, 6039, 7258, 2250, 1845, 610, 28916, 780, 291, 269, 717, 1778, 2598, 1127, 692, 294, 23230, 4646, 519, 22449, 540, 16368, 11951, 267, 5356, 32351, 543, 17545, 2066, 1514, 5049, 269, 6178, 1155, 10286, 8286, 7854, 539, 1384, 272, 269, 10089, 326, 584, 15815, 822, 328, 281, 15434, 22486, 10568, 11273, 609, 6006, 267, 11922, 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 ]
[ 272, 296, 4932, 326, 301, 344, 275, 344, 13270, 322, 342, 300, 345, 292, 326, 299, 2316, 340, 301, 345, 292, 342, 5588, 300, 275, 2839, 30501, 300, 345, 308, 276, 300, 345, 322, 272, 2975, 271, 345, 299, 329, 300, 343, 300, 329, 308, 326, 301, 344, 275, 345, 18199, 330, 345, 301, 345, 308, 326, 299, 307, 5226, 13270, 330, 345, 301, 345, 308, 326, 304, 344, 288, 274, 299, 329, 300, 272, 5588, 300, 274, 10064, 4263, 10998, 4510, 301, 345, 308, 326, 301, 344, 275, 344, 13270, 322, 342, 300, 345, 292, 326, 299, 307, 308, 340, 21254, 312, 275, 301, 345, 308, 326, 301, 328, 3393, 13270, 312, 344, 10064, 4263, 10064, 4510, 301, 345, 308, 326, 304, 344, 288, 273, 299, 329, 312, 343, 300, 345, 296, 275, 5960, 4263, 301, 328, 275, 344, 7495, 29220, 301, 329, 296, 326, 301, 328, 275, 343, 7495, 322, 272, 2975, 6349, 299, 329, 308, 326, 10064, 5655, 300, 329, 308, 326, 299, 31159, 340, 10064, 289, 320, 23966, 271, 326, 10064, 5655, 300, 329, 308, 326, 299, 31159, 340, 301, 6347, 328, 299, 345, 275, 298, 15425, 280, 2763, 310, 272, 756, 273, 342, 266, 290, 329, 343, 2763, 310, 272, 756, 273, 342, 326, 321, 274, 313, 331, 9492, 313, 338, 321, 274, 322, 280, 1103, 313, 335, 322, 273, 12221, 294, 308, 328, 5456, 331, 330, 4916, 297, 333, 321, 295, 331, 11445, 291, 4263, 10064, 296, 266, 290, 329, 343, 342, 312, 311, 305, 334, 296, 295, 301, 271, 324, 310, 343, 331, 4916, 297, 345, 323, 295, 297, 9366, 273, 308, 277, 321, 332, 280, 340, 313, 307, 19561, 5456, 304, 280, 296, 330, 271, 326, 5308, 2412, 18199, 300, 343, 300, 329, 308, 326, 299, 307, 5226, 300, 2316, 272, 23966, 342, 326, 5308, 2412, 18199, 300, 343, 300, 329, 308, 326, 299, 26774, 340, 300, 345, 322, 272, 23966, 342, 326, 7069, 275, 345, 300, 2316, 272, 2975, 271, 345, 299, 329, 300, 274, 10064, 9720, 2839, 300, 340, 300, 345, 322, 272, 2975, 271, 344, 299, 329, 322, 272, 301, 345, 326, 343, 300, 328, 288, 345, 299, 329, 308, 276, 301, 345, 312, 272, 301, 328, 4263, 300, 328, 275, 344, 5588, 312, 275, 301, 345, 308, 326, 7069, 3393, 7495, 304, 345, 301, 345, 308, 326, 299, 15288, 340, 5588, 326, 271, 300, 345, 322, 272, 296, 4932, 326, 10998, 275, 345, 301, 329, 322, 343, 7495, 1375, 299, 15288, 340, 301, 329, 322, 276, 301, 329, 326, 275, 2839, 5226, 7495, 330, 275, 301, 19699, 275, 2975, 271, 343, 299, 329, 308, 345, 300, 2316, 272, 2839, 308, 340, 18199, 322, 275, 300, 2316, 272, 2975, 271, 343, 299, 329, 308, 345, 300, 2316, 272, 296, 4932, 326, 301, 328, 275, 343, 300, 329, 326, 276, 13270, 312, 326, 299, 15288, 340, 18199, 300, 343, 300, 329, 308, 326, 301, 328, 5655, 5588, 292, 271, 13270, 312, 326, 299, 15288, 340, 301, 329, 288, 276, 300, 345, 322, 272, 2839, 30501, 300, 329, 312, 272, 301, 329, 296, 272, 2975, 271, 343, 299, 329, 322, 273, 18199, 312, 344, 10064, 9720, 2839, 30501, 7495, 304, 274, 301, 329, 308, 273, 2975, 271, 343, 299, 329, 5652, 5588, 312, 275, 302, 7563, 275, 299, 329, 304, 271, 18199, 300, 343, 300, 328, 4263, 300, 328, 275, 343, 301, 345, 330, 273, 7495, 1375, 5308, 275, 342, 301, 329, 296, 272, 2975, 271, 344, 299, 329, 308, 343, 18199, 312, 344, 10064, 13696, 2839, 31343, 13270, 312, 344, 10064, 4263, 10157, 6078, 296, 4932, 326, 8016, 2412, 300, 345, 322, 272, 2975, 271, 342, 299, 329, 296, 272, 301, 345, 326, 343, 300, 328, 288, 274, 299, 329, 326, 343, 300, 329, 308, 326, 299, 14011, 340, 13270, 4445, 13270, 300, 343, 300, 328, 288, 274, 299, 329, 292, 275, 301, 345, 308, 326, 10157, 275, 342, 300, 345, 292, 344, 10064, 9720, 2839, 312, 340, 18199, 322, 342, 300, 345, 292, 344, 2839, 288, 340, 21587, 308, 273, 300, 329, 308, 326, 10064, 3393, 18199, 322, 342, 300, 345, 292, 326, 10157, 275, 344, 21587, 326, 274, 301, 6347, 272, 299, 329, 300, 271, 300, 345, 322, 272, 2839, 288, 340, 300, 329, 292, 275, 301, 345, 308, 326, 304, 344, 288, 345, 299, 329, 326, 272, 21587, 308, 273, 300, 328, 288, 342, 299, 329, 296, 343, 7495, 322, 272, 2839, 296, 340, 301, 329, 330, 272, 300, 345, 292, 344, 2975, 271, 342, 299, 329, 292, 272, 301, 329, 296, 272, 22432, 340, 7495, 322, 272, 2975, 271, 342, 299, 329, 29220, 301, 329, 296, 272, 296, 4932, 326, 5960, 275, 342, 301, 14011, 274, 7495, 292, 326, 299, 15288, 340, 301, 329, 312, 271, 13270, 312, 344, 2839, 288, 340, 301, 329, 304, 342, 301, 329, 296, 272, 2975, 271, 344, 299, 329, 1097, 301, 329, 308, 273, 300, 328, 288, 342, 299, 329, 312, 271, 13270, 312, 344, 10064, 4263, 10998, 275, 342, 5588, 300, 274, 10064, 9720, 2839, 288, 340, 301, 329, 304, 342, 301, 329, 296, 272, 2975, 4905, 299, 329, 304, 344, 18199, 322, 275, 5960, 288, 343, 299, 329, 288, 345, 5588, 288, 273, 300, 328, 4263, 301, 328, 2412, 301, 345, 312, 272, 301, 329, 296, 326, 5960, 4510, 301, 19699, 274, 10064, 4263, 301, 344, 275, 344, 10064, 9720, 2839, 296, 340, 301, 329, 308, 273, 300, 329, 308, 326, 299, 307, 7666, 13270, 292, 276, 18199, 300, 343, 2839, 300, 340, 301, 345, 312, 276, 18199, 300, 343, 2975, 6860, 299, 329, 304, 342, 301, 329, 296, 272, 2839, 308, 340, 21587, 326, 274, 10064, 4263, 8016, 2412, 13270, 312, 344, 10064, 9720, 2839, 312, 340, 21254, 322, 273, 18199, 312, 344, 2975, 6860, 299, 329, 304, 342, 301, 329, 296, 272, 2839, 30501, 301, 14011, 274, 7495, 292, 344, 2975, 6860, 299, 329, 288, 343, 18199, 312, 344, 301, 6347, 275, 299, 329, 296, 275, 300, 2316, 272, 2975, 6734, 299, 329, 296, 345, 301, 19699, 274, 10064, 9720, 2839, 31343, 13270, 312, 344, 10064, 4263, 301, 328, 2412, 301, 329, 288, 276, 300, 345, 1375, 5308, 2412, 18199, 300, 343, 300, 329, 308, 326, 299, 307, 308, 340, 301, 14888, 272, 301, 345, 326, 343, 2839, 31343, 21254, 308, 345, 300, 2316, 272, 2975, 876, 299, 329, 292, 344, 10064, 289, 320, 23966, 271, 326, 301, 328, 6246, 10064, 4263, 10064, 9720, 2839, 312, 340, 301, 345, 308, 326, 299, 307, 308, 340, 301, 6347, 273, 299, 329, 312, 342, 21587, 308, 273, 300, 328, 4263, 10064, 4510, 5588, 326, 271, 300, 345, 1375, 301, 328, 275, 345, 300, 2316, 272, 2975, 6349, 299, 329, 296, 342, 300, 345, 292, 344, 10064, 9720, 2839, 312, 340, 13270, 292, 276, 18199, 300, 343, 2975, 6349, 299, 329, 308, 342, 300, 345, 29220, 301, 328, 288, 272, 299, 329, 312, 271, 13270, 312, 344, 10064, 4263, 301, 328, 5655, 18199, 312, 344, 301, 6347, 272, 299, 329, 292, 274, 21587, 326, 274, 10064, 4263, 301, 328, 5655, 18199, 312, 344, 10064, 9720, 2839, 5226, 301, 329, 322, 343, 7495, 322, 272, 2975, 6349, 299, 329, 312, 272, 301, 329, 296, 272, 2839, 5226, 300, 329, 308, 274, 7495, 292, 344, 2975, 6349, 299, 329, 308, 342, 301, 345, 326, 343, 300, 328, 288, 345, 299, 329, 330, 345, 301, 345, 308, 326, 299, 31159, 340, 300, 329, 292, 275, 301, 345, 308, 326, 304, 344, 288, 345, 299, 329, 312, 344, 10064, 4263, 10064, 3393, 300, 345, 322, 272, 2839, 300, 340, 301, 14888, 272, 301, 345, 326, 343, 2975, 4905, 299, 329, 308, 345, 300, 2316, 272, 2839, 300, 340, 300, 345, 304, 345, 301, 345, 308, 326, 299, 307, 308, 326, 310, 328, 8042, 2839, 312, 340, 301, 345, 308, 326, 299, 307, 308, 326, 296, 328, 279, 266, 290, 329, 342, 341, 322, 274, 2741, 312, 332, 280, 338, 303, 2998, 279, 322, 274, 2741, 312, 332, 280, 338, 5456, 10844, 313, 311, 297, 3387, 294, 11152, 4916, 297, 273, 320, 311, 301, 335, 312, 332, 343, 331, 296, 328, 289, 335, 313, 291, 271, 328, 313, 273, 343, 276, 322, 294, 326, 342, 299, 31159, 328, 303, 2998, 279, 322, 24427, 271, 320, 290, 289, 345, 323, 295, 3149, 313, 307, 271, 545, 274, 305, 344, 321, 273, 339, 331, 25537, 276, 341, 321, 332, 308, 278, 296, 328, 289, 330, 4916, 297, 301, 2839, 312, 340, 7495, 304, 345, 301, 345, 308, 326, 299, 307, 322, 326, 307, 7563, 273, 299, 329, 326, 271, 300, 345, 322, 272, 2975, 271, 343, 5960, 275, 345, 5588, 288, 273, 300, 329, 308, 326, 307, 7563, 276, 299, 329, 304, 275, 301, 19699, 274, 10064, 4263, 300, 15288, 340, 300, 345, 29220, 301, 329, 296, 272, 23966, 342, 326, 5308, 2412, 7495, 304, 345, 301, 345, 308, 326, 10157, 13696, 2839, 312, 340, 7495, 304, 345, 301, 345, 308, 326, 10157, 13696, 2839, 312, 340, 7495, 304, 345, 301, 345, 308, 326, 299, 15288, 340, 21587, 326, 274, 10064, 9720, 2839, 312, 340, 21254, 322, 273, 18199, 312, 344, 2975, 271, 342, 299, 329, 322, 342, 301, 345, 288, 345, 5960, 288, 273, 299, 329, 288, 274, 7495, 292, 344, 10064, 4263, 10157, 275, 345, 301, 15288, 272, 301, 329, 296, 326, 10064, 5655, 301, 6395, 273, 300, 329, 308, 326, 299, 14011, 340, 300, 2316, 272, 296, 4932, 326, 10064, 275, 344, 300, 14011, 276, 300, 345, 1375, 10157, 275, 343, 13270, 292, 272, 301, 329, 296, 326, 10998, 6246, 300, 14011, 276, 300, 345, 1375, 10157, 275, 344, 21587, 326, 274, 301, 6347, 271, 299, 329, 292, 271, 13270, 312, 344, 301, 6347, 342, 299, 329, 296, 343, 7495, 322, 272, 296, 4932, 326, 7069, 275, 343, 300, 329, 326, 276, 13270, 312, 326, 10157, 275, 344, 21587, 326, 274, 301, 6347, 344, 299, 329, 296, 276, 301, 329, 326, 274, 10064, 4263, 10157, 275, 343, 301, 345, 330, 273, 7495, 1375, 5960, 5655, 301, 6395, 273, 300, 329, 308, 326, 299, 14011, 340, 5588, 326, 271, 300, 345, 322, 272, 296, 4932, 326, 10157, 3393, 302, 2316, 343, 7495, 1375, 299, 15288, 340, 301, 345, 330, 273, 7495, 322, 272, 2839, 288, 340, 301, 329, 322, 343, 7495, 322, 272, 2975, 271, 344, 299, 329, 326, 345, 300, 329, 288, 345, 5960, 288, 342, 299, 329, 312, 274, 21587, 326, 274, 10064, 4263, 10998, 275, 342, 5588, 300, 274, 10064, 9720, 2839, 288, 340, 301, 329, 322, 343, 7495, 322, 272, 2975, 4905, 299, 329, 300, 272, 21587, 308, 273, 300, 328, 288, 342, 299, 329, 330, 276, 300, 329, 292, 275, 8016, 4263, 301, 328, 275, 345, 7495, 296, 275, 300, 2316, 326, 5960, 5655, 301, 6395, 273, 300, 329, 308, 326, 299, 307, 30501, 21587, 326, 274, 10064, 9720, 2839, 296, 340, 300, 329, 330, 273, 7495, 322, 272, 2975, 6860, 2839, 300, 340, 300, 2316, 275, 5588, 288, 273, 2975, 6860, 299, 329, 304, 342, 301, 329, 296, 272, 2839, 5226, 21587, 304, 342, 301, 329, 296, 272, 2975, 6860, 299, 329, 304, 342, 301, 329, 296, 272, 296, 4932, 326, 10998, 6246, 13270, 300, 343, 300, 329, 308, 326, 299, 307, 7666, 301, 6395, 273, 300, 329, 308, 326, 10064, 275, 344, 13270, 300, 343, 300, 329, 308, 326, 299, 307, 7666, 300, 329, 326, 276, 13270, 312, 344, 2839, 308, 340, 301, 329, 304, 342, 301, 329, 296, 272, 2975, 6860, 299, 329, 288, 273, 300, 329, 308, 326, 304, 344, 288, 273, 299, 329, 288, 274, 7495, 292, 344, 10064, 4263, 301, 344, 4510, 300, 345, 296, 342, 300, 345, 292, 326, 301, 328, 2412, 301, 345, 312, 272, 301, 329, 296, 326, 299, 307, 30501, 21254, 322, 273, 18199, 312, 344, 2839, 312, 340, 7495, 304, 345, 301, 345, 308, 326, 299, 307, 322, 326, 310, 328, 8042, 2839, 308, 340, 300, 14011, 276, 300, 345, 322, 272, 2975, 271, 343, 299, 329, 312, 275, 301, 345, 308, 326, 304, 344, 288, 272, 299, 329, 312, 274, 21587, 326, 274, 10064, 4263, 5960, 5655, 7495, 322, 272, 2839, 312, 340, 13270, 330, 274, 301, 329, 308, 273, 2975, 271, 343, 299, 329, 326, 276, 13270, 312, 344, 301, 6347, 273, 299, 329, 300, 276, 13270, 312, 344, 10064, 4263, 300, 328, 275 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 519, 1883, 1913, 1934, 568, 968, 338, 662, 1848, 901, 568, 519, 16315, 602, 519, 10584, 779, 3903, 729, 711, 607, 3811, 607, 621, 1522, 723, 1044, 563, 4517, 1287, 519, 4583, 1899, 834, 663, 602, 814, 1500, 782, 519, 3017, 2437, 4396, 5809, 519, 27461, 1377, 540, 713, 6648, 676, 6031, 602, 2921, 519, 4155, 602, 519, 10584, 3576, 267, 1818, 519, 3903, 602, 646, 1500, 267, 814, 4957, 1010, 1272, 563, 314, 2467, 616, 1100, 1138, 3796, 538, 519, 6648, 24358, 10303, 519, 834, 10521, 9897, 257, 538, 713, 6648, 723, 1312, 21055, 543, 27461, 2495, 630, 1492, 10584, 1281, 3100, 547, 581, 7555, 693, 513, 1360, 1483, 267, 21055, 23643, 538, 519, 4155, 267, 855, 519, 23643, 849, 4564, 1945, 27461, 281, 513, 3903, 547, 581, 1500, 538, 519, 1272, 540, 519, 10584, 264, 519, 9897, 666, 849, 581, 14648, 607, 6698, 563, 288, 14165, 1419, 814, 1152, 814, 27461, 2495, 267, 855, 713, 10584, 6257, 1312, 519, 2168, 5920, 540, 519, 18137, 538, 799, 519, 9897, 616, 4092, 607, 1134, 607, 540, 519, 1079, 9897, 2933, 281, 519, 3574, 568, 834, 344, 3641, 2437, 4440, 1317, 621, 568, 2887, 267, 543, 519, 9897, 616, 834, 342, 1941, 30385, 316, 827, 519, 1482, 21968, 1312, 834, 3225, 958, 2482, 1315, 769, 3762, 1100, 1900, 1185, 7708, 323, 6577, 3109, 1701, 769, 713, 3090, 267, 1287, 267, 827, 519, 1482, 1297, 540, 1004, 723, 3144, 1142, 4155, 630, 26569, 1968, 264, 543, 1500, 1142, 3903, 630, 14808, 584, 894, 1040, 634, 10584, 3112, 1294, 1141, 2901, 4155, 5555, 5012, 630, 26569, 1968, 1070, 1175, 607, 649, 3112, 917, 782, 540, 519, 2104, 4093, 540, 519, 3664, 649, 1118, 538, 519, 1459, 630, 14808, 584, 894, 1040, 1261, 1152, 6487, 602, 267, 2899, 646, 23297, 513, 2619, 630, 18485, 12777, 543, 19562, 8271, 1070, 646, 786, 4440, 2760, 723, 519, 4316, 547, 1294, 1141, 519, 824, 2619, 5012, 563, 27407, 267, 2705, 267, 519, 10584, 4566, 547, 2995, 1004, 602, 646, 834, 339, 809, 519, 1496, 5802, 316, 1447, 14612, 2437, 4352, 646, 814, 2907, 15861, 547, 721, 602, 971, 513, 4155, 1281, 711, 2291, 269, 634, 2034, 568, 834, 3286, 607, 4023, 257, 607, 519, 1101, 267, 1175, 6371, 1512, 267, 543, 789, 616, 834, 342, 1941, 30385, 316, 827, 519, 1482, 1701, 898, 4667, 602, 646, 6499, 627, 727, 591, 646, 6645, 1010, 1650, 547, 267, 834, 1137, 543, 6502, 257, 689, 1631, 547, 3494, 602, 646, 814, 1500, 513, 811, 2189, 3903, 267, 602, 646, 3576, 519, 2619, 7864, 1004, 1491, 543, 568, 267, 3976, 267, 2909, 591, 543, 6793, 982, 1034, 269, 634, 6648, 781, 3844, 3090, 267, 519, 1079, 9897, 267, 22113, 519, 2856, 602, 649, 1616, 547, 1745, 2189, 267, 543, 649, 1616, 1866, 547, 1294, 721, 602, 1259, 267, 1256, 950, 649, 616, 711, 269, 0, 301, 792, 8493, 333, 969, 4068, 538, 19958, 6019, 267, 21600, 2443, 634, 1977, 15142, 630, 21026, 8054, 994, 1607, 729, 849, 519, 1747, 1141, 519, 25169, 4141, 4095, 14316, 267, 19443, 676, 741, 12543, 267, 519, 623, 2967, 2373, 267, 4371, 5180, 23929, 538, 519, 5614, 547, 26924, 519, 2208, 540, 519, 12566, 2428, 267, 741, 20013, 1426, 267, 543, 1586, 538, 519, 2887, 585, 519, 2298, 543, 7274, 540, 519, 7693, 563, 10666, 2185, 5195, 5087, 568, 26495, 1054, 700, 8354, 267, 2022, 5604, 540, 519, 26267, 14086, 10588, 267, 543, 519, 1135, 1782, 1747, 538, 476, 5908, 272, 540, 519, 26495, 1054, 3348, 3307, 540, 19958, 6019, 269, 2991, 476, 5908, 277, 267, 621, 729, 1634, 607, 25020, 781, 13749, 267, 513, 16069, 1747, 593, 519, 4155, 547, 10507, 1067, 531, 6767, 563, 292, 5550, 539, 676, 21600, 3557, 5244, 3590, 543, 519, 23663, 517, 9503, 8466, 5980, 269, 630, 15812, 518, 7089, 476, 14695, 8094, 19613, 269, 476, 4343, 4113, 476, 5325, 269, 277, 1428, 12664, 715, 267, 476, 15686, 4113, 476, 3374, 269, 280, 7597, 12664, 654, 269, 4460, 518, 568, 2282, 8493, 333, 969, 4068, 267, 21600, 267, 538, 19958, 6019, 269, 4460, 518, 568, 593, 772, 2529, 269, 476, 4375, 276, 476, 271, 269, 280, 5195, 5045, 540, 2274, 12858, 11936, 17719, 10003, 267, 593, 519, 1318, 950, 10707, 5087, 269, 25291, 585, 4786, 269, 4460, 518, 568, 538, 713, 2022, 5604, 1858, 281, 8493, 333, 969, 4068, 715, 309, 476, 8660, 275, 1015, 267, 2136, 2276, 540, 3013, 563, 8448, 7404, 12508, 269, 2311, 2547, 16176, 3333, 4141, 16399, 5851, 630, 13627, 269, 476, 280, 269, 275, 5195, 2476, 538, 4993, 5148, 16176, 3333, 4141, 16399, 630, 13627, 269, 476, 280, 269, 275, 5195, 2476, 538, 4993, 5148, 3828, 10679, 631, 850, 5600, 630, 13627, 269, 476, 280, 16006, 5195, 2476, 5148, 667, 816, 331, 969, 4068, 630, 13627, 269, 476, 280, 269, 277, 5195, 2476, 5148, 1325, 18090, 6019, 3938, 628, 1787, 630, 13627, 269, 476, 1556, 269, 280, 5195, 2476, 538, 4993, 5148, 4460, 548, 5271, 4068, 4937, 15188, 630, 13627, 269, 476, 1556, 269, 280, 5195, 2476, 538, 4993, 5148, 1325, 18090, 23392, 630, 13627, 269, 476, 1556, 269, 280, 5195, 2476, 538, 4993, 5148, 6196, 28732, 3427, 630, 13627, 269, 476, 1321, 5195, 2476, 538, 4993, 1040, 25291, 585, 513, 1592, 543, 4786, 540, 782, 12508, 538, 8493, 333, 969, 4068, 563, 9827, 1294, 1547, 1547, 1547, 1715, 2549, 2105, 7956, 585, 4460, 518, 269, 634, 21600, 3557, 19866, 27264, 8433, 630, 17239, 17269, 264, 5063, 8242, 519, 1257, 540, 519, 10199, 476, 18605, 1533, 3140, 12508, 538, 21600, 269, 634, 21600, 15562, 17269, 5116, 519, 29567, 1257, 540, 1142, 1367, 15262, 593, 922, 3896, 543, 786, 1689, 519, 4890, 12508, 538, 519, 2361, 607, 7616, 2636, 269, 19724, 2242, 723, 1044, 1500, 547, 713, 15262, 585, 8239, 543, 31824, 267, 543, 2101, 2242, 723, 1044, 1500, 547, 1543, 269, 634, 1344, 593, 7111, 4892, 814, 1044, 6569, 269, 634, 3095, 786, 1491, 596, 547, 519, 21600, 15562, 17269, 2985, 585, 519, 15262, 609, 519, 29567, 1257, 269, 630, 8138, 4784, 593, 5239, 476, 1839, 267, 476, 1001, 274, 267, 676, 13660, 2033, 8065, 540, 2806, 559, 2940, 267, 7147, 8094, 290, 20975, 269, 3040, 7111, 4892, 3040, 5590, 1479, 906, 1299, 5590, 339, 6840, 3040, 454, 290, 1042, 1080, 269, 901, 2985, 729, 2063, 15428, 593, 4873, 476, 1626, 267, 476, 1001, 277, 269, 901, 2985, 8385, 11643, 593, 5239, 476, 1240, 267, 476, 1001, 274, 267, 676, 23745, 1488, 3387, 6412, 540, 8493, 333, 969, 4068, 267, 21600, 269, 901, 2985, 814, 1044, 9763, 476, 32076, 2053, 2094, 1287, 269, 16071, 281, 476, 272, 267, 476, 273, 269, 11643, 593, 5239, 476, 1240, 267, 476, 1001, 274, 267, 676, 23745, 1488, 3387, 6412, 540, 8493, 333, 969, 4068, 267, 21600, 269, 3040, 5204, 323, 1733, 8077, 729, 519, 9375, 945, 3370, 713, 2985, 563, 29394, 779, 1616, 2000, 626, 585, 713, 15262, 269, 22453, 1858, 2070, 540, 519, 15262, 543, 922, 10450, 269, 3040, 2052, 596, 948, 286 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 24618, 781, 8134, 543, 9265, 723, 1044, 8185, 12936, 676, 27643, 2238, 267, 609, 2244, 946, 1689, 1373, 519, 1034, 1271, 3815, 538, 18714, 5054, 269, 2290, 540, 519, 1034, 1271, 2994, 585, 8497, 9265, 814, 1044, 519, 10661, 540, 6870, 2127, 269, 634, 15395, 3060, 540, 932, 8811, 340, 1695, 7699, 267, 6792, 781, 4102, 1533, 267, 729, 1101, 3964, 538, 476, 4350, 280, 543, 4867, 2882, 476, 1724, 6870, 2127, 269, 634, 7145, 540, 713, 5726, 3060, 547, 2099, 2249, 267, 5095, 267, 543, 9249, 814, 711, 1044, 11117, 269, 1284, 2708, 932, 8811, 340, 1695, 10224, 6870, 2127, 609, 2543, 547, 519, 1285, 604, 320, 10044, 676, 10442, 8733, 267, 10923, 267, 543, 29981, 1239, 269, 1284, 16432, 5638, 689, 3370, 3332, 267, 1225, 31247, 12240, 267, 5359, 267, 543, 2487, 2361, 960, 547, 3313, 519, 2249, 1459, 538, 519, 14425, 543, 547, 6218, 3454, 21978, 3982, 1145, 269, 12039, 540, 3454, 21978, 3982, 1145, 2337, 2697, 2127, 602, 723, 2147, 610, 9838, 2249, 17381, 269, 1284, 10356, 1239, 8204, 6177, 14778, 267, 10664, 2010, 267, 3235, 648, 326, 687, 267, 28772, 7240, 16899, 267, 543, 10862, 2127, 547, 2697, 1346, 2249, 543, 8134, 26173, 610, 14605, 6719, 538, 519, 1699, 5726, 3060, 269, 1284, 1336, 602, 476, 7176, 269, 274, 260, 540, 782, 6177, 2249, 538, 932, 8811, 340, 1695, 7699, 616, 6719, 538, 6870, 2127, 267, 855, 1271, 28326, 26105, 540, 2249, 17381, 630, 935, 8877, 476, 25971, 1700, 23310, 543, 476, 4968, 2249, 1070, 6870, 2249, 630, 4375, 1700, 5655, 2249, 1070, 11658, 24365, 2249, 267, 543, 29610, 754, 2438, 2249, 630, 1556, 2249, 264, 616, 14605, 6719, 269, 3828, 10679, 10664, 2950, 543, 5722, 28772, 7240, 16899, 616, 2370, 6719, 269, 8278, 648, 326, 542, 2099, 520, 4369, 568, 5266, 1434, 543, 932, 8811, 340, 1695, 7699, 21485, 338, 6177, 5726, 2127, 616, 9425, 1134, 6719, 269, 1284, 15974, 4609, 1141, 1007, 6870, 2127, 666, 581, 3730, 543, 666, 723, 519, 4102, 1764, 593, 6177, 5726, 267, 3226, 585, 1346, 14605, 6719, 2249, 267, 28326, 26105, 267, 610, 8134, 563, 2791, 723, 16761, 513, 3684, 8144, 540, 5697, 1543, 689, 938, 12240, 269, 901, 10342, 568, 3177, 9003, 585, 707, 13418, 543, 568, 538, 1100, 1259, 5497, 547, 5372, 1480, 8144, 269, 26681, 12713, 3080, 6862, 519, 5411, 543, 21101, 540, 519, 1543, 1118, 267, 543, 789, 12799, 771, 8010, 267, 1022, 2769, 610, 22466, 11269, 610, 15549, 625, 540, 1022, 2186, 267, 1519, 267, 1510, 20159, 267, 11269, 543, 15549, 625, 607, 547, 519, 10342, 540, 519, 8144, 4183, 610, 519, 6111, 610, 1264, 28467, 540, 519, 16627, 563, 9558, 331, 725, 616, 711, 17477, 538, 938, 1062, 269, 2659, 946, 540, 713, 4183, 543, 519, 16627, 568, 1641, 547, 782, 946, 9993, 8659, 538, 519, 16301, 543, 17148, 540, 2422, 540, 519, 12713, 3080, 3896, 563, 14157, 269, 476, 4391, 3040, 3143, 269, 476, 272, 0, 8340, 519, 21229, 12185, 2262, 1587, 454, 305, 27654, 519, 6152, 454, 11372, 17586, 513, 6241, 676, 513, 4737, 454, 30467, 547, 6241, 7503, 454, 8340, 5021, 1871, 540, 513, 7455, 454, 24280, 21121, 9351, 281, 589, 267, 645, 543, 29530, 568, 2016, 454, 8340, 519, 1858, 1063, 14258, 630, 303, 274, 994, 8340, 519, 1858, 1063, 14258, 630, 303, 273, 994, 8340, 519, 1858, 1063, 14258, 630, 303, 275, 994, 8340, 519, 1858, 1063, 14258, 630, 303, 272, 994, 8340, 519, 16782, 538, 30731, 6239, 543, 3605, 875, 519, 2146, 666, 948, 596, 2336, 16521, 513, 1357, 3135, 547, 1205, 12261, 1543, 1141, 2139, 543, 1294, 2199, 2621, 543, 3091, 269, 9122, 593, 707, 4087, 267, 649, 4363, 602, 596, 2824, 281, 4586, 2791, 666, 849, 2824, 513, 1357, 3135, 689, 519, 1739, 1592, 912, 15675, 519, 3624, 3135, 630, 514, 4457, 610, 2296, 264, 585, 1655, 3135, 2773, 269, 4033, 4569, 17582, 2197, 4609, 616, 711, 20979, 585, 11564, 689, 707, 4087, 563, 23086, 707, 2199, 5604, 0, 288, 2727, 320, 12168, 351, 404, 355, 14534, 407, 479, 8745, 12791, 769, 21460, 2296, 1635, 9099, 454, 8624, 3005, 4214, 568, 519, 957, 610, 1184, 540, 10655, 269, 875, 547, 946, 4015, 538, 513, 4845, 269, 14635, 4214, 267, 519, 957, 540, 10655, 269, 1294, 811, 269, 16294, 4015, 269, 4015, 19655, 267, 4015, 12332, 267, 4015, 8144, 267, 7005, 8675, 4214, 540, 4015, 269, 562, 269, 476, 272, 269, 519, 957, 610, 1184, 540, 269, 9502, 540, 4015, 2854, 585, 7005, 1893, 6267, 689, 519, 5789, 26713, 1357, 3122, 15226, 781, 8675, 609, 8301, 5731, 9629, 725, 267, 6165, 1806, 267, 543, 1293, 1875, 12248, 10902, 10297, 269, 14635, 2495, 281, 476, 272, 269, 513, 1895, 540, 3615, 540, 835, 1826, 602, 723, 1044, 6394, 676, 835, 1268, 610, 538, 835, 1747, 281, 476, 273, 269, 606, 16634, 1451, 811, 563, 8624, 3005, 12791, 769, 19446, 14635, 18087, 918, 5984, 4223, 18350, 454, 8072, 1492, 4015, 267, 6283, 543, 12871, 540, 20203, 723, 2141, 1044, 513, 15677, 585, 519, 2199, 8128, 10200, 2048, 9188, 3145, 2834, 20203, 4015, 267, 519, 12871, 3587, 513, 562, 698, 3101, 1928, 585, 18294, 10200, 2048, 10915, 2224, 4015, 568, 606, 1898, 1857, 3028, 543, 3112, 581, 2451, 547, 519, 5010, 627, 574, 540, 4357, 25255, 269, 9957, 14635, 4214, 281, 513, 4015, 540, 1919, 568, 513, 1895, 540, 2147, 1919, 602, 596, 723, 22393, 9715, 2073, 1923, 2495, 267, 12332, 267, 16627, 543, 1806, 269, 476, 4097, 19655, 540, 4015, 689, 519, 5789, 26713, 1357, 3122, 519, 28445, 267, 7132, 476, 6507, 1644, 1913, 267, 8847, 267, 543, 1884, 11618, 269, 1265, 1776, 2262, 585, 4015, 269, 4015, 281, 606, 6896, 1895, 540, 3615, 9715, 543, 9738, 585, 1353, 267, 14266, 267, 610, 2123, 12257, 563, 306, 4461, 330, 761, 11803, 822, 327, 1513, 1695, 3333, 686, 589, 14635, 2986, 476, 1911, 271, 19361, 454, 8624, 3005, 12791, 1656, 25460, 10586, 454, 6011, 547, 24969, 4015, 286, 713, 3381, 2488, 1806, 540, 7819, 7005, 5731, 9629, 725, 540, 4015, 676, 5256, 543, 4775, 10529, 269, 538, 1840, 267, 621, 4015, 2495, 538, 31448, 1923, 4015, 25697, 737, 5984, 1319, 18350, 3905, 320, 688, 328, 1923, 3232, 946, 7005, 1913, 7162, 502, 18892, 7162, 361, 5936, 486, 2633, 510, 17775, 7162, 485, 23517, 2633, 501, 11695, 366, 18028, 370, 29334, 21005, 2633, 500, 23547, 17775, 21999, 17775, 7162, 366, 18028, 493, 7162, 362, 17775, 18892, 21005, 29334, 2633, 361, 28637, 17775, 7162, 359, 28637, 23547, 11695, 355, 21005, 2633, 355, 11111, 476, 26326, 271, 1034, 1271, 7005, 1913, 630, 978, 16435, 281, 1007, 2489, 3028, 1592, 264, 849, 2638, 719, 281, 476, 280, 8287, 1034, 1271, 7005, 1913, 585, 1620, 4081, 1257, 2638, 707, 7005, 1377, 7005, 1721, 718, 29335, 7005, 17118, 29477, 495, 4015, 2495, 281, 630, 333, 264, 513, 1895, 540, 3615, 540, 835, 1826, 602, 723, 1044, 6394, 676, 835, 1018, 568, 4015, 286, 1018, 1281, 4015, 1611, 286, 875, 798, 596, 2161, 4015, 286, 875, 547, 24969, 4015, 286, 4015, 2495, 3381, 2982, 1018, 4015, 1797, 269, 513, 1305, 540, 3688, 610, 2179, 540, 1570, 22876, 3293, 610, 10356, 1927, 2789, 1644, 3615, 2404, 607, 513, 1895, 269, 3404, 5112, 4968, 271, 6919, 1948, 26074, 1993, 1948, 2135, 5112, 4968, 271, 5320, 1873, 603, 26074, 269, 4295, 28162, 5850, 1923, 32275, 269, 554, 926, 737, 16194, 3534, 2878, 585, 2228, 2866, 14261, 281, 979, 334, 3052, 331, 678, 277, 330, 329, 6277, 19065, 375, 1289, 281, 476, 11011, 476, 279, 1704, 280, 866, 1960, 280, 24049, 547, 938, 8756, 543, 5734, 519, 11350, 538, 4070, 3785, 267, 4170, 4015, 543, 9165, 4214, 4523, 1354, 19142, 519, 4579, 267, 1141, 607, 538, 1775, 6745, 267, 1587, 1646, 267, 610, 678, 261, 323, 3785, 538, 713, 3992, 267, 596, 666, 1451, 827, 2458, 23148, 538, 7005, 269, 855, 267, 1018, 616, 2458, 23148, 286, 2458, 6327, 1797, 602, 930, 1913, 3514, 1927, 267, 543, 824, 1913, 1810, 1405, 269, 4015, 4585, 519, 3381, 547, 917, 519, 12332, 1299, 4214, 2495, 540, 519, 2262, 269, 4945, 1934, 547, 24049, 19065, 375, 979, 334, 3052, 331, 536, 275, 325, 1470, 320, 512, 2651, 899, 1246, 1294, 1934, 267, 519, 10096, 540, 519, 2262, 2445, 267, 607, 3381, 543, 1257, 269, 630, 28781, 1397, 811, 2630, 4700, 2445, 630, 14620, 264, 547, 5531, 1927, 282, 993, 817, 269, 2445, 630, 14620, 264, 547, 1205, 282, 0, 1432, 786, 8331, 769, 306, 697, 1265, 593, 9370, 454, 22498, 16785, 6184, 697, 7710, 519, 2699, 4541, 2433, 634, 844, 1389, 540, 9370, 454, 10214, 952, 1100, 1272, 814, 1044, 8810, 593, 9370, 865, 2484, 267, 621, 568, 513, 2713, 18477, 1560, 267, 693, 2547, 689, 513, 17027, 1448, 540, 2070, 269, 2368, 15027, 26706, 616, 1152, 513, 1906, 2929, 1296, 2025, 543, 972, 568, 2963, 602, 29351, 568, 1869, 3742, 11895, 547, 713, 1554, 269, 1656, 519, 4541, 568, 5781, 695, 2586, 676, 23047, 638, 1389, 563, 1607, 568, 3254, 676, 7422, 540, 519, 8331, 21445, 5692, 968, 1103, 306, 697, 892, 630, 1103, 10262, 16709, 1210, 1530, 1143, 545, 15766, 725, 267, 2983, 3941, 344, 543, 14333, 13255, 1070, 799, 616, 1631, 1373, 4843, 538, 519, 11285, 12139, 968, 26903, 2983, 657, 7220, 892, 630, 514, 1896, 11285, 4930, 281, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 30155, 2690, 519, 1101, 942, 621, 16309, 6209, 20381, 7403, 593, 9370, 267, 6941, 519, 7665, 23851, 4659, 585, 9891, 3590, 3194, 630, 300, 4916, 264, 538, 717, 7238, 339, 1154, 523, 267, 799, 568, 3238, 538, 519, 5692, 563, 17442, 684, 3481, 1079, 1296, 2663, 267, 28428, 1269, 476, 5611, 2929, 811, 454, 763, 968, 309, 10884, 892, 28525, 689, 519, 476, 3192, 271, 338, 2907, 1185, 17688, 18852, 593, 4604, 269, 1809, 891, 941, 16119, 4448, 547, 519, 13941, 1770, 543, 910, 607, 621, 5828, 856, 2663, 910, 1152, 6592, 875, 519, 6742, 1014, 2842, 695, 809, 519, 28525, 269, 634, 769, 306, 697, 17688, 10309, 267, 1572, 10323, 3041, 267, 593, 519, 824, 1688, 267, 729, 1305, 1524, 538, 519, 6742, 1014, 5070, 609, 513, 17680, 3899, 6186, 543, 849, 6870, 689, 519, 2842, 676, 513, 26372, 563, 763, 3926, 267, 3710, 676, 519, 3943, 2230, 8116, 31368, 2464, 267, 568, 3810, 6213, 267, 799, 3361, 7965, 538, 4434, 269, 834, 1103, 306, 697, 257, 729, 8385, 9277, 547, 1376, 538, 476, 1001, 277, 267, 855, 519, 12511, 12068, 585, 519, 17688, 10309, 729, 711, 9395, 267, 865, 8331, 4956, 547, 27185, 821, 519, 1376, 676, 1079, 1296, 543, 547, 22738, 513, 2699, 30472, 563, 763, 3606, 3790, 2179, 539, 547, 1472, 1269, 476, 5611, 2929, 269, 898, 729, 711, 2394, 5437, 476, 2918, 267, 476, 1001, 279, 602, 519, 2244, 518, 20109, 1524, 2282, 519, 20337, 593, 519, 4414, 14136, 563, 763, 8373, 729, 4502, 621, 267, 10323, 3041, 1568, 28761, 269, 634, 1459, 12326, 3277, 547, 713, 1974, 689, 5988, 547, 5181, 476, 1001, 280, 476, 14690, 20381, 2621, 9571, 269, 4595, 1287, 267, 519, 7403, 723, 1044, 4797, 543, 513, 2698, 540, 476, 14596, 2621, 723, 1044, 6592, 267, 799, 723, 711, 2943, 1044, 4628, 11117, 267, 2687, 547, 661, 8025, 2098, 584, 747, 267, 799, 568, 849, 3238, 563, 17357, 22046, 532, 827, 835, 844, 820, 513, 1554, 7474, 10323, 3041, 666, 13498, 269, 6987, 1905, 565, 730, 547, 519, 3003, 18477, 1560, 267, 519, 844, 820, 2534, 568, 3152, 982, 5892, 6059, 267, 519, 5950, 20381, 1648, 6013, 1063, 602, 540, 519, 1360, 16931, 7599, 543, 519, 6422, 3618, 563, 300, 1513, 814, 1152, 835, 6676, 454, 5978, 4541, 5161, 540, 29684, 10824, 602, 1847, 1996, 1142, 824, 543, 3976, 1291, 547, 1082, 16767, 269, 9370, 4440, 1152, 814, 835, 6676, 269, 834, 3719, 12152, 832, 666, 849, 2049, 1369, 513, 6676, 267, 607, 649, 917, 689, 3047, 2437, 3081, 21853, 5341, 2441, 27255, 689, 631, 4916, 267, 835, 540, 519, 3056, 10323, 3041, 3173, 563, 2467, 616, 1079, 1292, 4128, 585, 519, 23047, 638, 820, 269, 968, 763, 4541, 568, 9023, 1524, 543, 16756, 532, 2223, 6941, 519, 11001, 269, 834, 7712, 519, 9018, 12933, 568, 28221, 267, 13253, 8451, 538, 621, 2394, 621, 6368, 9397, 543, 519, 7449, 16577, 1726, 3387, 956, 1701, 634, 2034, 7872, 568, 28681, 14768, 538, 519, 2620, 267, 5068, 25136, 267, 799, 3310, 519, 12933 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 281, 476, 1708, 273, 268, 6021, 268, 1724, 476, 1240, 281, 2190, 1107, 476, 1240, 281, 2767, 1923, 7392, 281, 5403, 518, 19809, 1923, 9255, 281, 590, 8582, 296, 1107, 12567, 11406, 294, 327, 573, 10008, 267, 6742, 2088, 630, 272, 5148, 13397, 615, 328, 267, 16902, 990, 28839, 12359, 320, 630, 272, 5148, 2605, 1481, 22088, 267, 12832, 565, 383, 366, 630, 272, 5148, 2051, 558, 2692, 267, 12658, 518, 4815, 630, 272, 5148, 667, 749, 262, 2304, 7224, 267, 4223, 974, 334, 630, 273, 5148, 17664, 328, 267, 13198, 857, 3570, 630, 273, 5148, 16902, 6269, 18223, 267, 12359, 320, 630, 274, 5148, 15815, 340, 267, 6890, 1729, 630, 272, 994, 272, 281, 4972, 540, 16581, 543, 7025, 7070, 1107, 13870, 267, 23721, 267, 3397, 549, 24479, 267, 2160, 540, 6660, 8457, 267, 966, 807, 22966, 18319, 476, 273, 267, 476, 1001, 3451, 6660, 8457, 267, 7977, 454, 273, 281, 4972, 540, 27259, 6925, 543, 10960, 7070, 267, 2160, 540, 6660, 8457, 267, 966, 807, 667, 749, 262, 26536, 527, 14504, 476, 277, 267, 476, 29483, 876, 700, 617, 328, 267, 7977, 454, 274, 281, 10418, 540, 11930, 5525, 585, 519, 12655, 5004, 543, 10466, 540, 13738, 19791, 4211, 13612, 2983, 2529, 6185, 328, 8160, 2632, 267, 2160, 540, 30912, 267, 966, 807, 5651, 3626, 476, 279, 267, 3798, 23383, 267, 476, 7742, 4366, 267, 7977, 454, 21292, 281, 623, 23950, 17304, 267, 3397, 13681, 1675, 1751, 267, 6833, 571, 1027, 5113, 267, 681, 6614, 267, 5453, 520, 454, 763, 14298, 5746, 8150, 3201, 303, 630, 14303, 328, 4317, 328, 829, 3397, 549, 3711, 1304, 328, 1325, 335, 7236, 264, 1788, 11292, 676, 27334, 7709, 26183, 5748, 4564, 513, 1514, 5647, 1788, 543, 14439, 538, 519, 31619, 1027, 5251, 543, 538, 519, 2298, 267, 4129, 1881, 2199, 24299, 267, 609, 1970, 2825, 1764, 630, 16955, 543, 1970, 3403, 7031, 264, 513, 4909, 9920, 585, 882, 320, 684, 4221, 519, 6694, 5823, 540, 7823, 23898, 538, 513, 12947, 23341, 543, 8537, 5133, 267, 29780, 621, 538, 519, 6051, 543, 19349, 2619, 563, 1103, 519, 1325, 18090, 3148, 267, 6353, 676, 14869, 19527, 267, 519, 31619, 1027, 1949, 6462, 676, 3819, 6149, 6821, 2099, 513, 2757, 4480, 267, 4922, 1031, 538, 519, 2250, 267, 799, 4847, 519, 5137, 540, 27442, 1076, 2127, 563, 763, 1788, 568, 851, 540, 713, 2796, 609, 519, 2832, 540, 19620, 519, 10342, 540, 930, 31619, 806, 4092, 538, 930, 2199, 885, 540, 519, 4165, 1258, 320, 14860, 269, 3487, 540, 519, 31619, 806, 814, 1044, 17468, 538, 1931, 547, 1376, 19311, 7031, 547, 7794, 519, 6125, 1063, 2199, 2950, 267, 741, 1568, 543, 519, 620, 18090, 1604, 269, 681, 6614, 543, 10568, 941, 32543, 22004, 609, 519, 2832, 547, 8190, 519, 623, 16165, 11902, 630, 24456, 18726, 8249, 585, 5253, 543, 11982, 1040, 769, 713, 7406, 267, 713, 32543, 3174, 568, 6322, 693, 759, 11167, 519, 8978, 30383, 3694, 3761, 5832, 602, 1185, 1044, 14460, 1896, 1296, 3516, 563, 305, 6614, 3694, 568, 513, 1826, 540, 3694, 1500, 609, 1114, 17114, 540, 30383, 11320, 17742, 7912, 269, 681, 6614, 3694, 729, 2808, 513, 20013, 998, 519, 5664, 12698, 543, 538, 7823, 2127, 519, 946, 540, 30383, 3694, 729, 513, 2245, 2394, 519, 4098, 540, 519, 2034, 3368, 540, 519, 2063, 2540, 950, 621, 729, 14460, 1739, 519, 1244, 641, 1637, 540, 519, 7823, 2127, 269, 769, 2487, 1296, 267, 513, 17105, 1719, 538, 713, 1587, 814, 1044, 3395, 1813, 547, 519, 9422, 3601, 540, 30383, 7912, 563, 1103, 713, 1788, 267, 519, 1655, 30383, 543, 10568, 8677, 941, 16916, 538, 19747, 3625, 6272, 538, 519, 4165, 1258, 320, 14860, 31619, 1027, 1604, 269, 645, 668, 520, 1670, 9382, 941, 849, 5645, 856, 593, 7912, 6394, 585, 1142, 3099, 269, 29675, 547, 2916, 1689, 568, 513, 1360, 2352, 9960, 3804, 1317, 540, 922, 6988, 267, 922, 4087, 23506, 267, 543, 17674, 1464, 269, 1717, 267, 835, 2009, 3070, 593, 513, 1507, 4336, 568, 1759, 593, 519, 6422, 946, 540, 989, 13681, 1675, 1751, 538, 6683, 998, 519, 14713, 540, 12105, 5095, 269, 769, 1249, 267, 538, 713, 960, 6986, 1899, 267, 6404, 543, 5095, 941, 1031, 563, 20082, 9517, 476, 277, 1691, 1923, 11261, 281, 476, 1708, 273, 268, 6021, 268, 1724, 476, 1240, 281, 2767, 1107, 476, 1240, 281, 1789, 1923, 7392, 281, 5403, 518, 19809, 1923, 9255, 281, 590, 8582, 296, 1107, 12567, 11406, 2562, 14888, 3198, 5442, 306, 2316, 307, 7473, 292, 5508, 570, 22379, 267, 667, 5085, 26980, 630, 2862, 307, 5937, 1070, 3703, 4095, 7909, 24540, 630, 18197, 8003, 994, 21292, 281, 10025, 16644, 1622, 267, 16581, 29714, 1656, 16373, 267, 769, 3410, 2664, 2456, 267, 16581, 16010, 1656, 15894, 267, 26478, 20677, 454, 7712, 7115, 538, 476, 3707, 278, 267, 3484, 4747, 538, 3127, 814, 711, 6738, 538, 519, 1482, 8167, 607, 1426, 2504, 269, 19105, 4747, 540, 519, 16027, 7622, 729, 5442, 305, 476, 3583, 829, 1554, 538, 476, 1220, 274, 543, 827, 5442, 305, 476, 6200, 513, 1554, 1282, 476, 1001, 272, 268, 1321, 630, 306, 527, 6672, 10495, 11752, 476, 1220, 274, 267, 476, 1001, 274, 1040, 769, 713, 1957, 267, 594, 1445, 593, 1079, 3761, 20933, 2188, 3743, 585, 6705, 262, 14226, 268, 13829, 593, 10827, 2456, 267, 543, 3668, 540, 2344, 10333, 1813, 547, 4057, 5989, 269, 594, 20272, 519, 3761, 5832, 540, 6149, 1922, 21209, 538, 31579, 541, 752, 8518, 267, 513, 14629, 1533, 538, 7187, 3127, 269, 31579, 541, 752, 8518, 568, 519, 3056, 16073, 540, 6149, 1922, 21209, 630, 701, 778, 267, 20034, 267, 3284, 878, 582, 543, 15090, 264, 538, 3127, 269, 594, 946, 3312, 5619, 1239, 9112, 689, 513, 3119, 5619, 538, 715, 664, 1388, 8664, 540, 31579, 541, 752, 8518, 676, 5967, 532, 476, 1220, 6705, 689, 476, 736, 7823, 14252, 269, 570, 2784, 619, 538, 519, 13398, 27360, 1115, 540, 670, 12245, 342, 8643, 543, 16156, 543, 824, 1871, 7302, 664, 11051, 899, 1098, 1602, 1562, 723, 849, 1044, 26906, 269, 634, 1292, 6662, 568, 547, 10250, 519, 3761, 7302, 664, 540, 6149, 1922, 21209, 543, 20272, 519, 3892, 540, 12434, 2059, 713, 5832, 267, 1247, 8051, 585, 519, 27177, 540, 519, 15113, 543, 875, 621, 5540, 6705, 262, 26038, 543, 13829, 593, 10827, 2456, 563, 763, 1353, 9060, 602, 1164, 2022, 3620, 541, 4034, 6725, 1942, 13745, 609, 4057, 5989, 543, 1344, 12623, 11496, 2337, 18318, 538, 29937, 532, 1379, 936, 519, 6705, 269, 6762, 6705, 24214, 5266, 1134, 3379, 547, 741, 4130, 13413, 269, 901, 568, 5097, 1813, 547, 519, 13829, 540, 1507, 6705, 593, 519, 18318, 585, 5491, 269, 9540, 6705, 4283, 883, 13016, 11731, 609, 18318, 945, 1683, 873, 609, 948, 268, 1312, 538, 6666, 630, 1721, 6694, 543, 1875, 268, 6694, 2238, 264, 543, 538, 29292, 630, 514, 519, 1106, 540, 6694, 11378, 267, 610, 32311, 547, 3049, 519, 1920, 1282, 1793, 871, 4005, 1040, 769, 9114, 340, 540, 713, 267, 6705, 616, 3808, 547, 6133, 741, 7556, 547, 519, 18318, 269, 4746, 267, 1317, 891, 18318, 4308, 538, 13557, 543, 948, 519, 6705, 7006, 1619, 11325, 741, 3132, 3533, 538, 519, 9000, 540, 4859, 29319, 267, 6705, 4782, 547, 4308, 609, 873, 936, 824, 6725, 9055, 267, 1256, 952, 713, 10522, 3606, 1942, 538, 519, 1106, 540, 519, 862, 3827, 540, 18318, 269, 634, 1353, 849, 9060, 602, 7823, 6705, 4782, 547, 4308, 609, 513, 1906, 10827, 2456, 267, 7446, 873, 593, 519, 4493, 540, 2025, 2389, 625, 543, 1514, 3347, 269, 901, 1353, 666, 581, 2938, 607, 606, 1840, 547, 519, 3332, 593, 519, 3761, 7302, 1622, 540, 24972, 12734, 21113, 6805, 547, 7823, 4525, 267, 799, 2611, 5266, 896, 13231, 1221, 269, 898, 849, 8309, 547, 519, 3332, 593, 10827, 2456, 538, 6694, 6990, 543, 9060, 602, 538, 519, 9000, 540, 3280, 5989, 538, 29990, 4525, 267, 10827, 2456, 1831, 16832, 547, 519, 6705, 269, 0, 276, 269, 273, 269, 10084, 14044, 10724, 3399, 1575, 454, 763, 10084, 14044, 10724, 6238, 909, 676, 2870, 606, 3355, 1362, 267, 799, 568, 9138, 538, 606, 6388, 17466, 6073, 267, 1210, 519, 18849, 560, 1905, 1362, 4452, 518, 630, 31086, 276, 269, 274, 269, 272, 1040, 634, 10084, 14044, 10724, 1287, 6402, 519, 3355, 1362, 267, 3355, 3278, 621, 267, 543, 1045, 10280, 519, 454, 21504, 1362, 1505, 454, 341, 1355, 1292, 263, 21803, 1040, 634, 1045, 6327, 540, 713, 1505, 11479, 782, 2417, 11056, 269, 13079, 1081, 540, 519, 10084, 14044, 10724, 5528, 7587, 5024, 519, 454, 10852, 1505, 949, 2014, 16046, 630, 663, 18867, 5137, 264, 540, 3606, 5049, 543, 17103, 267, 607, 1134, 607, 1045, 6327, 540, 3606, 2409, 563, 1103, 606, 6388, 540, 519, 10084, 14044, 10724, 267, 519, 3355, 1362, 1223, 581, 3177, 607, 513, 4971, 1899, 4661, 269, 17968, 267, 519, 6388, 1223, 1683, 3267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13707, 700, 10105, 281, 476, 271, 692, 278, 2473, 13235, 291, 9128, 815, 476, 277, 2473, 667, 9128, 27398, 692, 288, 284, 277, 454, 289, 284, 276, 454, 290, 284, 275, 454, 291, 284, 278, 454, 292, 284, 273, 454, 293, 284, 274, 692, 278, 311, 277, 311, 276, 311, 275, 311, 278, 311, 273, 311, 274, 284, 277, 311, 278, 311, 273, 311, 274, 311, 277, 311, 276, 311, 275, 284, 23714, 2412, 780, 8649, 1775, 678, 924, 2496, 13825, 14765, 318, 1001, 271, 454, 16675, 289, 3881, 692, 15803, 281, 476, 14338, 454, 16274, 281, 11205, 4119, 476, 6860, 267, 476, 1001, 271, 476, 1556, 281, 4366, 10681, 454, 13707, 700, 10105, 281, 476, 271, 692, 13825, 14765, 318, 1001, 271, 5206, 281, 278, 2473, 13235, 291, 9128, 815, 476, 277, 2473, 667, 9128, 27398, 692, 288, 284, 277, 454, 289, 284, 276, 454, 290, 284, 275, 454, 291, 284, 278, 454, 292, 284, 273, 454, 293, 284, 274, 692, 278, 311, 277, 311, 276, 311, 275, 311, 278, 311, 273, 311, 274, 284, 277, 311, 278, 311, 273, 311, 274, 311, 277, 311, 276, 311, 275, 284, 23714, 2412, 563, 8649, 1775, 678, 924, 2496, 8253, 22043, 454, 2690, 707, 3830, 1657, 267, 700, 9391, 568, 711, 3160, 547, 681, 9391, 780, 12179, 3118, 267, 13235, 291, 9128, 568, 513, 476, 277, 7857, 1297, 267, 711, 513, 1587, 540, 476, 277, 2582, 7857, 1297, 563, 8310, 12995, 676, 13174, 16735, 593, 29443, 4239, 476, 2420, 267, 476, 1001, 271, 476, 280, 281, 2412, 10681, 267, 12995, 476, 272, 942, 538, 2698, 780, 13043, 338, 16735, 454, 23325, 289, 3881, 692, 15803, 281, 476, 3607, 279, 454, 16274, 281, 11205, 4239, 476, 736, 267, 476, 1001, 271, 476, 1556, 281, 7367, 10681, 454, 13707, 700, 10105, 281, 476, 271, 692, 13043, 338, 16735, 5206, 281, 17098, 14268, 543, 4841, 10484, 2080, 781, 513, 5668, 27701, 2243, 585, 782, 540, 596, 547, 4194, 1384, 8340, 519, 476, 277, 7857, 1297, 13235, 291, 9128, 454, 7945, 602, 476, 278, 1535, 13235, 291, 9128, 815, 476, 277, 1535, 667, 9128, 27398, 1141, 667, 9128, 27398, 568, 1776, 476, 277, 7857, 1297, 780, 17843, 5022, 1796, 585, 1114, 2582, 18251, 2898, 2338, 780, 5970, 513, 1187, 942, 6061, 476, 2439, 4131, 803, 2119, 1384, 5723, 7374, 9128, 815, 476, 5379, 272, 276, 4343, 692, 14153, 329, 514, 454, 312, 3641, 289, 3881, 692, 15803, 281, 476, 1321, 454, 16274, 281, 774, 340, 7325, 476, 3066, 267, 476, 1001, 271, 476, 1321, 281, 6734, 993, 454, 13707, 700, 10105, 281, 476, 271, 692, 14153, 329, 514, 5206, 912, 13043, 338, 16735, 5206, 281, 17098, 14268, 543, 4841, 10484, 2080, 781, 513, 5668, 27701, 2243, 585, 782, 540, 596, 547, 4194, 1384, 8340, 519, 476, 277, 7857, 1297, 13235, 291, 9128, 454, 7945, 602, 476, 278, 1535, 13235, 291, 9128, 815, 476, 277, 1535, 667, 9128, 27398, 1141, 667, 9128, 27398, 568, 1776, 476, 277, 7857, 1297, 780, 17843, 5022, 1796, 585, 1114, 2582, 18251, 2898, 2338, 780, 5970, 513, 1187, 942, 6061, 476, 2439, 4131, 803, 2119, 1384, 5723, 7374, 9128, 815, 476, 5379, 272, 276, 4343, 692, 7069, 2324, 23241, 5723, 7374, 9128, 1535, 476, 278, 815, 667, 9128, 27398, 1535, 476, 277, 692, 27007, 27398, 1535, 476, 1911, 271, 264, 1341, 667, 9128, 316, 1535, 476, 278, 815, 27883, 291, 9128, 1535, 476, 1911, 271, 264, 1341, 13235, 316, 1535, 476, 277, 692, 10384, 271, 13235, 1341, 476, 278, 667, 9128, 815, 476, 7785, 271, 667, 9128, 1341, 476, 277, 13235, 692, 277, 4200, 275, 13235, 815, 476, 276, 4200, 274, 667, 9128, 692, 276, 4343, 13235, 815, 476, 5379, 272, 667, 9128, 692, 276, 4343, 630, 5379, 272, 264, 815, 476, 5379, 272, 630, 276, 4343, 2020, 3602, 2421, 630, 5379, 272, 264, 815, 630, 27398, 264, 543, 454, 263, 276, 4343, 264, 815, 667, 9128, 692, 810, 907, 13235, 291, 9128, 815, 476, 5379, 272, 276, 4343, 692, 28775, 594, 993, 1318, 692, 14153, 329, 514, 454, 312, 3641, 289, 3881, 692, 15803, 281, 476, 1321, 454, 16274, 281, 774, 340, 7325, 476, 3066, 267, 476, 1001, 271, 476, 1321, 281, 6734, 993, 454, 13707, 700, 10105, 281, 476, 271, 692, 14153, 329, 514, 5206, 912, 14153, 329, 514, 5206, 912, 13043, 338, 16735, 5206, 281, 17098, 14268, 543, 4841, 10484, 2080, 781, 513, 5668, 27701, 2243, 585, 782, 540, 596, 547, 4194, 1384, 8340, 519, 476, 277, 7857, 1297, 13235, 291, 9128, 454, 7945, 602, 476, 278, 1535, 13235, 291, 9128, 815, 476, 277, 1535, 667, 9128, 27398, 1141, 667, 9128, 27398, 568, 1776, 476, 277, 7857, 1297, 780, 17843, 5022, 1796, 585, 1114, 2582, 18251, 2898, 2338, 780, 5970, 513, 1187, 942, 6061, 476, 2439, 4131, 803, 2119, 1384, 5723, 7374, 9128, 815, 476, 5379, 272, 276, 4343, 692, 7069, 2324, 23241, 5723, 7374, 9128, 1535, 476, 278, 815, 667, 9128, 27398, 1535, 476, 277, 692, 27007, 27398, 1535, 476, 1911, 271, 264, 1341, 667, 9128, 316, 1535, 476, 278, 815, 27883, 291, 9128, 1535, 476, 1911, 271, 264, 1341, 13235, 316, 1535, 476, 277, 692, 10384, 271, 13235, 1341, 476, 278, 667, 9128, 815, 476, 7785, 271, 667, 9128, 1341, 476, 277, 13235, 692, 277, 4200, 275, 13235, 815, 476, 276, 4200, 274, 667, 9128, 692, 276, 4343, 13235, 815, 476, 5379, 272, 667, 9128, 692, 276, 4343, 630, 5379, 272, 264, 815, 476, 5379, 272, 630, 276, 4343, 2020, 3602, 2421, 630, 5379, 272, 264, 815, 630, 27398, 264, 543, 454, 263, 276, 4343, 264, 815, 667, 9128, 692, 810, 907, 13235, 291, 9128, 815, 476, 5379, 272, 276, 4343, 692, 28775, 594, 993, 1318, 692, 301, 823, 2290, 692, 328, 293, 8816, 454, 23325, 289, 3881, 692, 15803, 281, 476, 24241, 454, 16274, 281, 774, 340, 9484, 476, 6021, 267, 476, 1001, 271, 476, 1556, 281, 736, 993, 454, 13707, 700, 10105, 281, 476, 271, 692, 328, 293, 8816, 5206, 912, 14153, 329, 514, 5206, 912, 14153, 329, 514, 5206, 912, 13043, 338, 16735, 5206, 281, 17098, 14268, 543, 4841, 10484, 2080, 781, 513, 5668, 27701, 2243, 585, 782, 540, 596, 547, 4194, 1384, 8340, 519, 476, 277, 7857, 1297, 13235, 291, 9128, 454, 7945, 602, 476, 278, 1535, 13235, 291, 9128, 815, 476, 277, 1535, 667, 9128, 27398, 1141, 667, 9128, 27398, 568, 1776, 476, 277, 7857, 1297, 780, 17843, 5022, 1796, 585, 1114, 2582, 18251, 2898, 2338, 780, 5970, 513, 1187, 942, 6061, 476, 2439, 4131, 803, 2119, 1384, 5723, 7374, 9128, 815, 476, 5379, 272, 276, 4343, 692, 7069, 2324, 23241, 5723, 7374, 9128, 1535, 476, 278, 815, 667, 9128, 27398, 1535, 476, 277, 692, 27007, 27398, 1535, 476, 1911, 271, 264, 1341, 667, 9128, 316, 1535, 476, 278, 815, 27883, 291, 9128, 1535, 476, 1911, 271, 264, 1341, 13235, 316, 1535, 476, 277, 692, 10384, 271, 13235, 1341, 476, 278, 667, 9128, 815, 476, 7785, 271, 667, 9128, 1341, 476, 277, 13235, 692, 277, 4200, 275, 13235, 815, 476, 276, 4200, 274, 667, 9128, 692, 276, 4343, 13235, 815, 476, 5379, 272, 667, 9128, 692, 276, 4343, 630, 5379, 272, 264, 815, 476, 5379, 272, 630, 276, 4343, 2020, 3602, 2421, 630, 5379, 272, 264, 815, 630, 27398, 264, 543, 454, 263, 276, 4343, 264, 815, 667, 9128, 692, 810, 907, 13235, 291, 9128, 815, 476, 5379, 272, 276, 4343, 692, 28775, 594, 993, 1318, 692, 301, 823, 2290, 692, 11039, 2944, 256, 901, 568, 8197, 2953, 2439, 13043, 338, 16735, 454, 23325, 289, 3881, 692, 15803, 281, 476, 3607, 279, 454, 16274, 281, 11205, 4239, 476, 736, 267, 476, 1001, 271, 476, 1556, 281, 7367, 10681, 454, 13707, 700, 10105, 281, 476, 271, 692, 8253, 2653, 547, 1294, 602, 1312, 5011, 16883, 676, 476, 1724, 547, 2569, 547, 476, 276, 4343, 543, 476, 5379, 272, 682, 327, 32465, 520, 2547, 711, 585, 2025, 544, 16244, 899, 803, 13718, 277, 4200, 275, 13235, 815, 476, 276, 4200, 274, 667, 9128, 692, 276, 4343, 13235, 815, 476, 5379, 272, 667, 9128, 692, 10817, 652, 692, 303, 3149, 3277, 547, 5291, 2517, 4178, 21993, 5362, 1575, 1861, 338, 2593, 31574, 5362, 340, 270, 1721, 636, 3267, 554, 335, 286, 339, 284, 14983, 7871, 585, 519, 1985, 13174, 10493, 328, 611, 7420, 8627, 2439, 13043, 338, 16735, 454, 23325, 289, 3881, 692, 15803, 281, 476, 3607, 279, 454, 16274, 281, 11205, 4239, 476, 736, 267, 476, 1001, 271, 476, 1556, 281, 7367, 10681, 454, 13707, 700, 10105, 281, 476, 271, 692, 13043, 338, 16735, 5206, 281, 303, 3149, 3277, 547, 5291, 2517, 4178, 21993, 5362, 1575, 1861, 338, 2593, 31574, 5362, 340, 270, 1721, 636, 3267, 554, 335, 286, 339, 284, 14983, 7871, 585, 519, 1985, 13174, 10493, 328, 611, 7420, 8627, 2439, 308, 7825, 1862, 4667, 899, 621, 568, 711, 1454, 540, 513, 4161, 585, 519, 2706, 6505, 3237, 543, 3214, 649, 723, 1934, 1318, 593, 918, 5362, 340, 29261, 2593, 269, 9320, 991, 547, 2490, 909, 519, 2352, 676, 513, 7008, 540, 18797, 711, 2583, 2496, 2419, 3971, 298, 5362, 340, 0, 258, 16534, 5430, 279, 343, 4732, 514, 276, 343, 815, 476, 272, 692, 330, 329, 7251, 321, 279, 518, 1923, 26133, 3447, 1807, 692, 1607, 1966, 814, 1100, 1483, 3070, 780, 6523, 279, 343, 815, 589, 10922, 476, 272, 543, 5609, 276, 343, 815, 645, 10922, 476, 272, 692, 763, 1152, 1259, 547, 1205, 9474, 815, 476, 272, 568, 952, 589, 815, 476, 272, 543, 645, 815, 476, 272, 780, 2252, 596, 1577, 1535, 815, 513, 1341, 1979, 267, 1287, 596, 1205, 519, 1482, 1966, 1317, 972, 3788, 513, 1483, 851, 547, 519, 1966, 267, 865, 707, 29870, 568, 2141, 1447, 982, 476, 272, 780, 3383, 267, 1577, 1535, 815, 1979, 780, 3086, 946, 552, 17526, 781, 6935, 547, 1205, 692, 6523, 263, 279, 756, 264, 5609, 263, 276, 756, 264, 815, 476, 271, 269, 276, 16732, 7562, 327, 263, 274, 321, 264, 910, 5609, 327, 263, 1724, 321, 4297, 815, 476, 272, 692, 1607, 666, 581, 12193, 6746, 1227, 547, 3489, 536, 815, 1109, 271, 269, 11277, 15704, 692, 810, 1535, 815, 476, 271, 269, 11277, 15704, 328, 692, 978, 8500, 21672, 1923, 9906, 692, 14188, 683, 11253, 2439, 3719, 594, 1589, 267, 5430, 279, 343, 284, 7562, 276, 343, 815, 272, 692, 266, 1403, 5430, 279, 343, 815, 476, 272, 1287, 1535, 815, 5286, 328, 270, 275, 1741, 630, 333, 538, 2098, 264, 6892, 630, 274, 2020, 266, 1403, 5609, 276, 343, 815, 476, 272, 1287, 1535, 815, 14039, 270, 1015, 1341, 476, 273, 5404, 328, 270, 276, 1109, 630, 332, 538, 2098, 264, 1109, 630, 275, 2020, 3383, 1535, 1058, 14183, 1312, 630, 274, 264, 543, 630, 275, 6393, 3383, 1535, 815, 1109, 5286, 328, 270, 275, 815, 630, 275, 332, 266, 272, 264, 7032, 270, 1015, 780, 11997, 2073, 476, 1015, 333, 1109, 815, 476, 1626, 332, 266, 275, 30916, 2020, 28949, 264, 568, 623, 749, 781, 3830, 267, 865, 649, 3489, 606, 9981, 544, 267, 562, 18092, 3489, 1535, 7790, 286, 2496, 332, 815, 272, 282, 562, 815, 273, 18092, 1535, 815, 14039, 270, 273, 568, 513, 3070, 585, 1535, 2439, 928, 11253, 1923, 9906, 692, 290, 657, 279, 343, 265, 7562, 276, 343, 815, 476, 272, 692, 13828, 5430, 343, 1109, 476, 30548, 5609, 1535, 814, 519, 2418, 1109, 1063, 1109, 910, 272, 543, 1341, 272, 780, 11997, 267, 585, 519, 1587, 547, 581, 476, 272, 10484, 6523, 279, 343, 284, 7562, 276, 343, 815, 272, 610, 692, 6523, 279, 343, 284, 7562, 276, 343, 815, 268, 272, 780, 2252, 5430, 279, 343, 815, 272, 267, 1287, 476, 279, 343, 815, 476, 273, 333, 7032, 610, 692, 343, 815, 476, 273, 333, 7032, 270, 279, 815, 1109, 333, 7032, 270, 275, 32465, 263, 272, 2020, 663, 1109, 7562, 276, 343, 815, 476, 272, 3947, 1384, 343, 815, 1109, 273, 333, 7032, 266, 7032, 270, 273, 1109, 815, 630, 275, 333, 266, 272, 264, 7032, 270, 1015, 1141, 562, 815, 271, 267, 272, 267, 273, 267, 274, 27401, 263, 273, 2020, 3383, 1535, 1058, 14183, 1312, 630, 272, 264, 543, 263, 273, 6393, 3383, 1535, 815, 1109, 5286, 328, 270, 275, 815, 630, 275, 333, 266, 272, 264, 7032, 270, 1015, 780, 11997, 2073, 692, 1015, 333, 1109, 815, 476, 1626, 333, 266, 275, 2107, 692, 277, 333, 815, 910, 275, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 666, 6494, 721, 707, 14374, 585, 513, 10839, 269, 630, 14140, 4067, 17106, 11333, 3820, 994, 294, 1905, 515, 928, 32254, 4675, 17067, 454, 305, 289, 5308, 6224, 4596, 568, 513, 11967, 2518, 3114, 1570, 18261, 1299, 10672, 609, 936, 476, 1321, 4458, 7721, 704, 1466, 538, 3246, 2706, 1164, 7779, 6464, 543, 6289, 558, 17467, 269, 634, 2754, 13143, 547, 1082, 2477, 1519, 519, 7330, 267, 4516, 267, 2342, 267, 32329, 267, 3162, 4000, 267, 25157, 267, 15057, 267, 5527, 267, 13280, 267, 23759, 3019, 267, 24063, 267, 11894, 267, 6792, 267, 29494, 13568, 267, 19934, 267, 30259, 267, 16231, 6243, 267, 8478, 267, 16266, 267, 29903, 267, 3567, 267, 9705, 267, 10476, 267, 17289, 267, 17111, 267, 12868, 267, 5245, 267, 5125, 267, 5333, 267, 7977, 267, 17577, 267, 3092, 563, 2026, 513, 3056, 29113, 1646, 10672, 267, 681, 289, 5308, 6224, 4596, 2531, 7149, 519, 2344, 269, 3776, 3318, 960, 2319, 2488, 3501, 3435, 547, 948, 2087, 519, 4398, 540, 1585, 6080, 267, 1711, 1871, 267, 543, 3362, 11883, 609, 1585, 2591, 563, 2252, 596, 616, 3168, 585, 22130, 8869, 267, 5225, 6494, 606, 4757, 269, 630, 16942, 11333, 2593, 994, 763, 2029, 543, 26313, 2872, 568, 14027, 693, 513, 4028, 10605, 538, 513, 1184, 540, 3586, 5647, 543, 10761, 269, 15306, 3457, 543, 5989, 616, 4742, 21273, 543, 811, 4448, 267, 13324, 676, 6932, 4066, 971, 607, 476, 276, 294, 543, 5841, 4987, 630, 9590, 264, 585, 519, 5769, 540, 12085, 269, 25790, 538, 8668, 3028, 6765, 267, 3226, 519, 10073, 540, 6531, 7384, 543, 6316, 7384, 4066, 267, 616, 5885, 3059, 7004, 538, 4213, 543, 519, 9962, 4346, 563, 29410, 2012, 616, 4922, 1031, 538, 2930, 3937, 267, 519, 2344, 3747, 585, 22130, 8869, 5170, 547, 4228, 267, 543, 513, 3126, 540, 3157, 971, 607, 519, 2359, 543, 6455, 540, 22130, 8869, 786, 3136, 547, 2087, 543, 1020, 269, 1403, 596, 991, 513, 22130, 8869, 267, 5225, 3346, 721, 269, 0, 27645, 616, 930, 540, 519, 7361, 5667, 2426, 12325, 540, 938, 2486, 269, 1358, 13599, 267, 3391, 543, 1416, 585, 938, 1453, 267, 1419, 2469, 1657, 543, 3564, 547, 2327, 602, 741, 1053, 616, 1134, 25668, 5792, 585, 519, 2104, 269, 1717, 267, 519, 2470, 540, 741, 2816, 1419, 12662, 873, 693, 1981, 540, 9036, 7063, 563, 19350, 616, 1175, 513, 1906, 540, 519, 2010, 540, 7063, 602, 3610, 4122, 3068, 538, 519, 9036, 563, 20228, 760, 267, 25676, 267, 543, 12096, 6452, 6342, 454, 27645, 616, 2838, 547, 6330, 1472, 13460, 4904, 609, 7515, 267, 23107, 267, 2835, 543, 824, 3937, 269, 901, 11768, 4679, 519, 1981, 540, 7552, 7146, 1922, 718, 10913, 269, 6215, 2354, 543, 15143, 616, 835, 540, 519, 1034, 1455, 3123, 540, 9036, 7063, 585, 3610, 269, 1452, 10913, 666, 2014, 7063, 899, 18655, 267, 838, 23230, 543, 1256, 2212, 7063, 267, 538, 4049, 2665, 563, 22826, 666, 581, 513, 17173, 2816, 269, 634, 2604, 540, 5883, 513, 4928, 267, 24675, 727, 11889, 4247, 543, 5870, 2773, 9072, 666, 1491, 513, 17167, 593, 513, 4116, 779, 2790, 1072, 269, 8033, 5224, 4598, 547, 2566, 666, 1291, 547, 4160, 267, 4965, 543, 1256, 2168, 1072, 2042, 563, 11847, 564, 1438, 853, 1778, 20070, 3753, 454, 11847, 564, 1438, 8833, 7063, 267, 899, 15790, 531, 15993, 6794, 543, 17281, 23969, 267, 616, 1455, 1851, 3610, 1813, 1082, 4648, 685, 991, 547, 946, 513, 2780, 13691, 543, 5924, 10856, 267, 12740, 5230, 3688, 543, 16625, 569, 2328, 609, 513, 4050, 585, 6905, 5712, 269, 6270, 7063, 949, 1267, 538, 519, 991, 585, 6391, 543, 6905, 942, 1055, 960, 547, 9156, 563, 288, 9036, 5945, 666, 711, 1152, 2014, 596, 2168, 2800, 855, 849, 1860, 707, 2702, 547, 960, 543, 7118, 513, 2713, 269, 1403, 596, 610, 2576, 596, 917, 814, 11124, 513, 9036, 5945, 607, 513, 4116, 267, 621, 779, 2629, 547, 3343, 3656, 6351, 607, 4166, 607, 2009, 543, 1265, 856, 811, 827, 707, 2924, 547, 11832, 779, 13180, 269, 0, 763, 4015, 693, 519, 7467, 540, 9099, 3203, 630, 300, 8656, 264, 2882, 3875, 3615, 689, 2066, 519, 9099, 1158, 269, 901, 1362, 7710, 1614, 14758, 8153, 30552, 770, 625, 267, 741, 1148, 267, 10781, 267, 543, 9371, 585, 2413, 6377, 9099, 2528, 563, 2791, 786, 1413, 693, 6469, 543, 10424, 5054, 267, 1174, 875, 789, 2968, 851, 540, 519, 9099, 1158, 543, 1018, 789, 4547, 609, 873, 689, 741, 840, 268, 26576, 545, 2250, 269, 4841, 786, 1711, 28868, 267, 1413, 693, 11585, 543, 1148, 267, 543, 1020, 606, 7071, 585, 14758, 8153, 30552, 770, 625, 543, 741, 1764, 593, 938, 1158, 563, 14630, 543, 7033, 902, 912, 299, 16722, 281, 12428, 543, 2296, 454, 2690, 811, 1344, 3823, 713, 13186, 267, 4945, 28313, 2336, 13126, 543, 3239, 5491, 281, 7467, 540, 9099, 3203, 454, 10287, 721, 593, 938, 1514, 2923, 9055, 912, 2252, 596, 723, 4376, 596, 1616, 547, 2671, 609, 721, 267, 6494, 721, 606, 552, 17733, 693, 1496, 16942, 6870, 316, 2336, 23763, 547, 6494, 513, 9133, 286, 29100, 721, 606, 552, 17733, 693, 1496, 16942, 6870, 3910, 26687, 640, 568, 16798, 2336, 2791, 723, 6707, 10805, 707, 2272, 256, 8923, 6166, 707, 552, 17733, 2232, 676, 14467, 593, 519, 15745, 2366, 547, 596, 7868, 552, 17733, 2356, 21128, 538, 476, 276, 268, 1015, 3764, 563, 1692, 513, 329, 2465, 321, 729, 602, 256, 286, 8729, 585, 7700, 547, 938, 2146, 256, 2659, 2022, 786, 2408, 1310, 649, 1491, 513, 2656, 1413, 256, 0, 763, 2136, 8315, 6561, 1560, 20648, 4956, 547, 14816, 20506, 23051, 540, 922, 524, 913, 1540, 4567, 1739, 513, 2622, 11595, 9730, 5870, 538, 3624, 538, 5147, 563, 763, 3375, 3357, 1739, 519, 8313, 540, 513, 3561, 676, 519, 12233, 602, 11855, 606, 2048, 597, 516, 23983, 2530, 540, 10305, 685, 1813, 547, 513, 3126, 540, 7835, 547, 519, 2703, 802, 543, 4478, 1858, 563, 299, 1853, 23051, 729, 6368, 2048, 1372, 548, 1540, 685, 689, 519, 1592, 1739, 513, 8917, 676, 519, 20648, 12233, 563, 3963, 20506, 23051, 729, 593, 519, 1592, 454, 1103, 476, 1220, 275, 267, 20648, 17019, 519, 2749, 779, 3140, 1764, 607, 513, 2101, 2518, 9467, 8998, 1282, 519, 476, 1240, 628, 267, 476, 866, 628, 543, 2038, 476, 736, 628, 5553, 563, 2005, 849, 11855, 20506, 23051, 779, 11265, 2956, 267, 1519, 1713, 5656, 593, 519, 1216, 12506, 971, 607, 519, 2048, 16248, 3400, 806, 685, 540, 519, 9576, 20506, 8490, 267, 519, 595, 684, 731, 8490, 543, 519, 5800, 540, 20506, 23051, 8490, 563, 2026, 513, 1267, 267, 519, 2749, 729, 13752, 31845, 30330, 656, 850, 4975, 4567, 267, 799, 7854, 539, 3670, 2127, 2066, 519, 546, 1442, 4133, 543, 2749, 8998, 17280, 7997, 563, 299, 1853, 23051, 729, 19486, 7258, 824, 8978, 4609, 971, 607, 24131, 267, 519, 29069, 10067, 531, 543, 519, 12266, 26829, 563, 2005, 729, 513, 19420, 585, 519, 2749, 543, 3864, 4975, 540, 9177, 4567, 4553, 538, 476, 1220, 279, 563, 14106, 3218, 2338, 2799, 676, 476, 4097, 9077, 10451, 11278, 4037, 274, 269, 279, 2929, 585, 519, 4346, 267, 2687, 547, 20506, 23051, 4975, 7027, 563, 1432, 4682, 4636, 454, 1103, 476, 1001, 273, 20506, 23051, 729, 593, 20648, 779, 5903, 540, 2622, 11595, 538, 667, 9734, 1739, 4145, 827, 519, 6069, 1646, 540, 20506, 23051, 27347, 267, 513, 11278, 276, 5479, 267, 476, 1789, 4458, 5075, 676, 3212, 601, 8092, 543, 16296, 6828, 267, 547, 2981, 519, 2749, 779, 7187, 2703, 802, 563, 24137, 4464, 547, 476, 1001, 278, 543, 20648, 5227, 602, 621, 2877, 547, 1413, 693, 2436, 547, 18419, 20506, 23051, 689, 922, 2622, 11595, 1592, 563, 299, 1853, 23051, 2746, 539, 547, 519, 3463, 609, 1287, 26302, 540, 20506, 23051, 15608, 18722, 543, 20506, 23051, 4975, 7027, 4259, 909, 513, 4305, 3196, 267, 799, 3769, 5449, 11381, 540, 2296, 11595, 11184, 29484, 595, 1601, 976, 267, 547, 4983, 875, 519, 2749, 1223, 2226, 922, 6561, 4567, 563, 763, 14643, 7000, 602, 3592, 11278, 16020, 332, 1185, 1044, 16539, 2048, 20041, 8978, 7221, 1369, 519, 20648, 9516, 3135, 685, 1519, 519, 22010, 540, 476, 4391, 7396, 5656, 2094, 476, 1001, 273, 563, 299, 1853, 23051, 4975, 7027, 3370, 513, 3561, 538, 4873, 476, 1708, 272, 4259, 856, 1946, 20506, 23051, 568, 513, 2622, 11595, 3135, 538, 513, 19915, 547, 4497, 20648, 543, 6542, 519, 2048, 11357, 560, 656, 658, 5092, 538, 519, 1514, 267, 2804, 267, 2686, 543, 2168, 8978, 1604, 519, 2749, 814, 1500, 538, 2487, 1296, 17483, 2005, 3769, 1344, 827, 4566, 547, 2847, 2086, 634, 2817, 631, 13952, 20506, 23051, 7104, 593, 519, 1216, 12506, 267, 1519, 519, 4139, 26913, 7467, 267, 519, 31845, 7467, 543, 519, 7467, 540, 20506, 23051, 563, 763, 14643, 779, 3646, 547, 32022, 20648, 941, 538, 642, 664, 543, 519, 3375, 547, 4894, 20506, 23051, 4682, 6619, 267, 609, 519, 6561, 1560, 19696, 6388, 540, 519, 20506, 23051, 27347, 1788, 543, 17451, 2023, 25624, 11833, 779, 1007, 30806, 1788, 538, 519, 645, 1090, 2917, 5336, 334, 648, 667, 1442, 563, 763, 4274, 2070, 454, 28061, 19576, 595, 23813, 267, 8956, 776, 7548, 693, 519, 2160, 540, 20506, 23051, 543, 513, 4759, 540, 519, 20506, 23051, 2622, 11595, 13505, 17130, 10414, 5892, 1767, 602, 17451, 2023, 779, 11278, 4335, 2929, 1007, 30806, 1788, 1223, 5555, 581, 3379, 609, 11599, 3889, 899, 519, 2871, 1375, 523, 8583, 631, 13952, 563, 11854, 1136, 827, 519, 645, 1090, 2917, 5336, 334, 648, 667, 1442, 1646, 646, 5143, 20506, 23051, 13328, 281, 968, 763, 2990, 540, 519, 4305, 3196, 729, 602, 20506, 23051, 814, 2141, 4904, 538, 519, 2703, 802, 267, 1519, 1141, 519, 8422, 3400, 806, 1694, 593, 519, 623, 1512, 10361, 269, 4634, 952, 519, 17451, 2023, 3135, 729, 547, 581, 4904, 267, 621, 568, 1945, 602, 814, 2141, 1044, 2944, 563, 2108, 4263, 519, 645, 1090, 2917, 5336, 334, 648, 3135, 596, 1131, 1869, 1294, 519, 1216, 543, 519, 2703, 802, 723, 1044, 632, 516, 12787, 513, 729, 339, 14657, 585, 476, 2568, 1296, 563, 10527, 16972, 17453, 13486, 543, 9219, 13486, 593, 3135, 568, 606, 1271, 10697, 543, 17451, 2023, 1616, 547, 11177, 1312, 891, 20610, 543, 723, 513, 9754, 267, 865, 2864, 982, 21006, 519, 6561, 540, 519, 1858, 621, 1131, 581, 25137, 621, 563, 2108, 7419, 18739, 1152, 1185, 513, 1483, 1966, 609, 713, 1858, 540, 519, 2703, 802, 267, 855, 519, 1448, 568, 519, 2749, 1869, 2115, 547, 1020, 543, 1711, 6009, 269, 3345, 20506, 23051, 814, 513, 2603, 540, 8739, 20300, 2042, 269, 20971, 538, 20506, 23051, 689, 2342, 538, 519, 4571, 268, 3445, 338, 543, 476, 1220, 271, 338, 5795, 519, 2749, 922, 1101, 2804, 5818, 543, 602, 814, 4797, 563, 10527, 10685, 8998, 540, 20506, 23051, 2290, 814, 4448, 519, 2749, 609, 519, 1216, 12506, 543, 17451, 2023, 779, 30806, 693, 645, 1090, 2917, 5336, 334, 648, 786, 581, 1776, 4062, 540, 519, 795, 12127, 1177, 543, 568, 519, 1985, 1858, 540, 2208, 538, 513, 2022, 1790, 663, 2438, 5736, 563, 14071, 26845, 20648, 779, 3375, 267, 855, 649, 991, 547, 2322, 621, 3297, 721, 269, 634, 4305, 1631, 568, 547, 1832, 20506, 23051, 779, 6561, 543, 8639, 899, 519, 14643, 267, 9945, 267, 13039, 543, 519, 4357, 5823, 786, 991, 547, 960, 1927, 547, 1294, 875, 602, 666, 4755, 936, 519, 1985, 4557, 1296, 3034, 1432, 519, 2749, 779, 3401, 1767, 454, 9802, 528, 540, 20506, 23051, 11835, 22828, 18722, 281, 968, 296, 6557, 5458, 569, 25922, 543, 7255, 676, 713, 3375, 547, 18419, 20506, 23051, 779, 2622, 11595, 4567, 267, 799, 2501, 513, 8717, 1310, 20648, 2063, 10272, 519, 2749, 547, 1294, 621, 609, 741, 1378, 4064, 563, 2108, 5978, 2622, 11595, 3135, 814, 2760, 1044, 538, 1732, 2783, 2348, 28322, 689, 7366, 540, 6634, 540, 6550, 540, 5092, 2066, 19421, 540, 7396, 5656, 543, 519, 1857, 7706, 563, 14071, 786, 581, 2324, 609, 6554, 267, 19866, 4789, 543, 824, 8639, 547, 4983, 938, 1985, 3268, 269, 1284, 723, 513, 10875, 1216, 12506, 543, 6909, 3710, 6561, 602, 568, 519, 679, 11803, 540, 824, 4872, 19028, 299, 1853, 23051, 4975, 16323, 26302, 19378, 681, 6139, 1090, 281, 968, 5522, 2167, 899, 20506, 23051, 1058, 711, 581, 5185, 609, 519, 9352, 3903, 1063, 4509, 6561, 4567, 610, 1036, 10273, 908, 2451, 1532, 12317, 785, 2950, 543, 519, 5763, 540, 6009, 543, 3255, 602, 2097, 609, 621, 3034, 8248, 601, 8092 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 634, 15627, 616, 17031, 547, 13718, 763, 1739, 616, 15627, 540, 513, 6917, 1647, 1153, 779, 21632, 17603, 269, 634, 15627, 616, 17031, 547, 519, 14282, 10759, 269, 2422, 713, 1344, 585, 2055, 476, 277, 268, 1015, 780, 476, 2004, 476, 7871, 476, 7918, 476, 6321, 476, 6812, 476, 6795, 476, 2568, 476, 2568, 476, 7830, 476, 8287, 476, 7906, 476, 7871, 476, 4649, 476, 6321, 476, 6812, 476, 6795, 476, 2568, 476, 8618, 476, 7830, 476, 8287, 476, 7906, 476, 7871, 476, 4649, 476, 6872, 476, 6812, 476, 6795, 476, 2568, 476, 8618, 476, 7830, 476, 8287, 476, 7367, 476, 7918, 476, 6321, 476, 6872, 476, 6812, 476, 6795, 476, 2568, 476, 8618, 476, 7830, 476, 5038, 476, 7367, 476, 7918, 476, 6321, 476, 6872, 476, 6812, 476, 6795, 476, 2568, 476, 7830, 476, 8287, 476, 5038, 692, 277, 4700, 3657, 519, 15627, 11050, 1239, 610, 28547, 1239, 2496, 23797, 5511, 692, 278, 4700, 1548, 568, 519, 1377, 540, 6482, 540, 519, 15627, 286, 630, 333, 558, 1400, 267, 3921, 1400, 267, 8884, 267, 610, 5223, 2020, 305, 26559, 692, 279, 4700, 1403, 596, 9112, 513, 4908, 3892, 609, 476, 276, 5049, 267, 1018, 1131, 581, 519, 1362, 8700, 2496, 2004, 268, 6812, 284, 476, 279, 692, 280, 4700, 3503, 519, 4214, 540, 1362, 8700, 2630, 630, 4777, 711, 2328, 519, 4542, 6393, 763, 3017, 1063, 1079, 15654, 5580, 543, 2539, 1362, 7182, 692, 1015, 4700, 20472, 513, 4908, 3892, 609, 476, 276, 5049, 676, 11423, 538, 519, 10833, 2630, 780, 1261, 2074, 540, 513, 22798, 5664, 3427, 779, 661, 12915, 27240, 619, 630, 928, 11732, 10759, 264, 27551, 11068, 4812, 22039, 28731, 22039, 692, 763, 1739, 616, 15627, 540, 513, 6917, 1647, 1153, 779, 21632, 17603, 269, 634, 15627, 616, 17031, 547, 519, 14282, 10759, 269, 2422, 713, 1344, 585, 2055, 476, 277, 268, 1015, 780, 476, 2004, 476, 7871, 476, 7918, 476, 6321, 476, 6812, 476, 6795, 476, 2568, 476, 2568, 476, 7830, 476, 8287, 476, 7906, 476, 7871, 476, 4649, 476, 6321, 476, 6812, 476, 6795, 476, 2568, 476, 8618, 476, 7830, 476, 8287, 476, 7906, 476, 7871, 476, 4649, 476, 6872, 476, 6812, 476, 6795, 476, 2568, 476, 8618, 476, 7830, 476, 8287, 476, 7367, 476, 7918, 476, 6321, 476, 6872, 476, 6812, 476, 6795, 476, 2568, 476, 8618, 476, 7830, 476, 5038, 476, 7367, 476, 7918, 476, 6321, 476, 6872, 476, 6812, 476, 6795, 476, 2568, 476, 7830, 476, 8287, 476, 5038, 692, 277, 4700, 3657, 519, 15627, 11050, 1239, 610, 28547, 1239, 2496, 23797, 5511, 692, 278, 4700, 1548, 568, 519, 1377, 540, 6482, 540, 519, 15627, 286, 630, 333, 558, 1400, 267, 3921, 1400, 267, 8884, 267, 610, 5223, 2020, 305, 26559, 692, 279, 4700, 1403, 596, 9112, 513, 4908, 3892, 609, 476, 276, 5049, 267, 1018, 1131, 581, 519, 1362, 8700, 2496, 2004, 268, 6812, 284, 476, 279, 692, 280, 4700, 3503, 519, 4214, 540, 1362, 8700, 2630, 630, 4777, 711, 2328, 519, 4542, 6393, 763, 3017, 1063, 1079, 15654, 5580, 543, 2539, 1362, 7182, 692, 1015, 4700, 20472, 513, 4908, 3892, 609, 476, 276, 5049, 676, 11423, 538, 519, 10833, 2630, 780, 1261, 2074, 540, 513, 22798, 5664, 3427, 779, 661, 12915, 27240, 619, 630, 928, 11732, 10759, 264, 27551, 11068, 4812, 22039, 28731, 22039, 0, 258, 1215, 798, 596, 4194, 586, 284, 910, 273, 343, 1341, 476, 273, 543, 476, 277, 343, 1341, 476, 273, 344, 815, 476, 274, 2496, 21801, 476, 1240, 267, 476, 1001, 279, 692, 7445, 3847, 3287, 2073, 586, 9368, 264, 815, 1422, 3847, 8987, 1422, 2765, 346, 272, 2410, 273, 348, 2073, 476, 274, 9368, 22491, 2971, 19247, 1384, 11693, 454, 314, 272, 316, 7445, 3667, 10233, 346, 342, 554, 1775, 512, 552, 7346, 3667, 346, 18958, 311, 3686, 586, 815, 910, 476, 273, 1535, 1341, 476, 273, 14204, 314, 273, 316, 7445, 3667, 10233, 346, 342, 554, 1775, 512, 552, 7346, 3667, 346, 18958, 311, 3686, 476, 277, 1535, 1341, 476, 273, 586, 815, 476, 274, 6911, 763, 1106, 2016, 585, 3830, 1496, 272, 316, 2306, 3070, 676, 18839, 519, 1034, 6654, 1505, 1384, 26015, 593, 1496, 272, 316, 649, 666, 12990, 4399, 3847, 8987, 476, 273, 1535, 1341, 476, 273, 9368, 7751, 585, 1269, 344, 259, 538, 1496, 273, 2639, 314, 274, 316, 7445, 3667, 10233, 346, 342, 554, 1775, 512, 552, 7346, 3667, 346, 18958, 311, 3686, 476, 277, 1535, 1341, 476, 273, 1422, 3847, 8987, 476, 273, 1535, 1341, 476, 273, 9368, 264, 815, 476, 274, 6911, 8245, 680, 4328, 1496, 274, 2639, 314, 275, 316, 7445, 3667, 10233, 346, 342, 554, 1775, 512, 552, 7346, 3667, 346, 18958, 311, 3686, 476, 273, 1535, 1341, 476, 275, 815, 476, 274, 14204, 528, 454, 314, 276, 316, 7445, 3667, 10233, 346, 342, 554, 1775, 512, 552, 7346, 3667, 346, 18958, 311, 3686, 1535, 815, 910, 1422, 2765, 346, 272, 2410, 273, 10592, 2171, 666, 1631, 12990, 4399, 3847, 8987, 1422, 2765, 346, 272, 2410, 273, 4153, 2431, 7751, 585, 1269, 343, 259, 538, 1496, 272, 2639, 314, 277, 316, 7445, 3667, 10233, 346, 342, 554, 1775, 512, 552, 7346, 3667, 346, 18958, 311, 3686, 586, 815, 910, 476, 273, 1422, 3847, 8987, 1422, 2765, 346, 272, 2410, 273, 4153, 2431, 264, 1341, 476, 273, 815, 476, 274, 259, 0, 258, 16338, 1063, 26941, 540, 834, 4198, 276, 589, 9391, 10933, 10819, 270, 19370, 476, 273, 5016, 1012, 9046, 692, 763, 4130, 5086, 1063, 519, 3946, 540, 513, 9219, 693, 1269, 1321, 281, 1839, 259, 533, 6230, 269, 568, 1384, 7445, 3667, 8578, 18950, 288, 264, 4153, 476, 15171, 23373, 15132, 476, 1789, 262, 315, 29911, 20728, 8578, 18950, 289, 264, 4153, 476, 15389, 23373, 15132, 476, 1789, 262, 315, 29911, 20728, 8578, 18950, 290, 264, 4153, 476, 5611, 23373, 15132, 315, 29911, 20728, 8578, 18950, 291, 264, 4153, 476, 15389, 23373, 15132, 476, 3953, 262, 315, 29911, 20728, 8578, 18950, 292, 264, 4153, 476, 15389, 23373, 15132, 6911, 1012, 8827, 692, 4263, 1269, 1321, 281, 1839, 8961, 519, 8792, 1688, 568, 693, 4399, 2765, 346, 1839, 2410, 2568, 4153, 10383, 476, 11740, 23373, 15132, 8961, 610, 1269, 5611, 23373, 15132, 10608, 634, 5662, 1688, 7575, 1269, 276, 259, 1412, 2381, 2373, 262, 1169, 5662, 267, 610, 4399, 2765, 346, 276, 2410, 2568, 4153, 10383, 476, 11740, 815, 476, 1789, 23373, 15132, 259, 1169, 5662, 269, 2311, 1269, 1789, 23373, 15132, 259, 1169, 5662, 267, 519, 5662, 1688, 7575, 4399, 2765, 346, 272, 2410, 273, 4151, 3764, 593, 519, 9219, 1169, 8792, 269, 2311, 1269, 1321, 281, 1839, 8961, 519, 5662, 1688, 568, 693, 4399, 2765, 346, 1839, 2410, 273, 11892, 315, 15132, 10608, 4475, 267, 519, 5086, 1063, 519, 3946, 568, 1269, 5611, 23373, 15132, 910, 1422, 2765, 346, 1839, 2410, 273, 11892, 315, 15132, 8961, 1269, 15389, 269, 276, 23373, 15132, 8961, 610, 1269, 15389, 17353, 15132, 348, 476, 1789, 3867, 262, 348, 1422, 574, 18680, 259, 4399, 7901, 539, 3189, 9507, 18950, 289, 264, 476, 15389, 23373, 15132, 476, 1789, 262, 3686, 16859, 1012, 8827, 476, 273, 692, 8794, 519, 4542, 4399, 2765, 346, 347, 263, 2568, 327, 268, 1556, 332, 31206, 2410, 273, 20954, 543, 726, 19982, 538, 476, 1321, 585, 554, 543, 476, 1839, 585, 544, 267, 649, 1205, 519, 5086, 1063, 547, 581, 476, 19442, 269, 276, 4113, 269, 4595, 519, 1966, 6499, 519, 4130, 5086, 267, 649, 798, 1269, 11740, 268, 19442, 269, 276, 815, 476, 15389, 269, 276, 1422, 23976, 476, 15389, 4113, 1789, 262, 16859, 476, 4198, 276, 589, 9391, 290, 630, 3682, 21793, 3040, 8382, 6206, 3040, 8249, 264, 2776, 1027, 539, 1109, 2421, 19370, 476, 272, 7427, 539, 1109, 2421, 19370, 476, 274, 476, 272, 3040, 476, 273, 3040, 476, 274, 3040, 476, 275, 3040, 476, 276, 3040, 476, 277, 3040, 476, 278, 3040, 476, 279, 3040, 476, 280, 3040, 476, 1015, 3040, 476, 1556, 3040, 476, 1321, 3040, 476, 1724, 3040, 476, 1691, 3040, 476, 1428, 3040, 476, 1626, 3040, 476, 1704, 3040, 476, 1240, 3040, 476, 866, 3040, 476, 736, 3040, 476, 2641, 3040, 476, 2420, 3040, 476, 2537, 3040, 476, 2190, 3040, 476, 1839, 3040, 476, 2918, 3040, 476, 2767, 3040, 476, 2764, 3040, 476, 3066, 3040, 476, 1789, 3040, 476, 4029, 3040, 476, 3953, 3040, 476, 3451, 3040, 476, 4097, 3040, 476, 3374, 3040, 476, 3607, 3040, 476, 4391, 3040, 476, 4343, 3040, 476, 4375, 3040, 476, 2412, 3040, 476, 6078, 3040, 476, 5655, 3040, 476, 6246, 3040, 476, 4510, 3040, 476, 3393, 3040, 476, 5379, 3040, 476, 5325, 3040, 476, 4366, 3040, 476, 5392, 3040, 476, 2004, 2353, 589, 9391, 10933, 10819, 543, 10298, 0, 258, 25734, 281, 3487, 476, 273, 692, 1103, 1250, 2063, 2022, 267, 594, 6700, 513, 1259, 547, 1628, 593, 1018, 1053, 2907, 917, 547, 6338, 519, 3160, 1129, 780, 4131, 779, 2161, 596, 4553, 602, 1544, 543, 707, 1053, 616, 1631, 21295, 538, 1210, 6698, 547, 4766, 513, 7274, 607, 3160, 547, 267, 3152, 982, 610, 1447, 982, 1776, 7274, 780, 1432, 798, 596, 798, 1985, 2496, 8196, 2338, 269, 5502, 540, 1603, 968, 26319, 540, 1899, 589, 284, 26319, 540, 1899, 645, 2223, 723, 873, 2268, 519, 9424, 543, 1287, 2328, 1297, 5220, 899, 476, 279, 284, 279, 610, 476, 278, 283, 279, 780, 5475, 2614, 2259, 1210, 2338, 267, 2285, 873, 4247, 602, 16436, 873, 547, 946, 1114, 4238, 547, 1711, 3160, 9424, 780, 1432, 1522, 713, 1413, 899, 2496, 24876, 1053, 1133, 32267, 18695, 30548, 2307, 873, 547, 2347, 519, 1739, 4247, 1384, 1892, 1403, 596, 723, 513, 3046, 602, 568, 476, 276, 4559, 1279, 543, 596, 6443, 621, 547, 513, 3046, 602, 568, 476, 1015, 4559, 1279, 267, 568, 621, 811, 982, 267, 1447, 982, 610, 519, 1482, 607, 513, 3046, 602, 568, 476, 1428, 4559, 1279, 286, 1109, 8058, 609, 519, 18695, 875, 596, 917, 563, 1892, 1772, 513, 476, 1724, 1770, 1279, 3046, 811, 982, 267, 1447, 982, 610, 519, 1482, 607, 513, 476, 277, 1770, 1279, 3046, 8678, 547, 476, 278, 1770, 1279, 3046, 286, 1109, 1215, 798, 596, 917, 888, 1892, 1772, 513, 476, 273, 1770, 1279, 3046, 8678, 547, 513, 476, 277, 1770, 1279, 3046, 267, 811, 982, 267, 1447, 982, 610, 519, 1482, 607, 513, 476, 274, 1770, 3046, 8678, 547, 513, 476, 276, 1770, 3046, 286, 1109, 1215, 798, 596, 917, 2496, 1103, 1931, 547, 4194, 519, 4247, 267, 1053, 666, 6443, 519, 13063, 267, 3313, 875, 1804, 519, 1007, 3046, 789, 2813, 568, 543, 5635, 621, 547, 519, 824, 3046, 269, 5231, 4746, 1331, 4247, 1141, 519, 9424, 5749, 1406, 3160, 780, 2791, 666, 1287, 6338, 10035, 547, 948, 1053, 2594, 891, 3347, 538, 1585, 2081, 1384, 1892, 476, 276, 1341, 1015, 284, 1428, 454, 1892, 476, 1724, 284, 277, 266, 278, 454, 1892, 476, 273, 1341, 277, 815, 274, 266, 276, 780, 30631, 1302, 596, 666, 1847, 547, 3257, 891, 4247, 1510, 519, 18695, 543, 1210, 3677, 2338, 780, 4692, 596, 1294, 875, 713, 1544, 1223, 581, 9862, 585, 824, 4238, 2496, 763, 1883, 568, 3246, 3871, 602, 1450, 1053, 547, 1711, 1114, 9424, 267, 2263, 1018, 568, 519, 1482, 827, 873, 543, 1287, 2594, 713, 2078, 1210, 6310, 711, 725, 269, 1109, 898, 13976, 593, 1018, 1053, 917, 543, 6101, 3278, 621, 1210, 6698, 780, 296, 8910, 2648, 547, 5873, 1018, 4523, 950, 596, 2119, 621, 609, 1053, 780, 1607, 1544, 729, 1759, 593, 519, 12763, 5455, 1382, 602, 15016, 8935, 326, 615, 1399, 543, 1200, 9164, 5342, 538, 16127, 269, 1109, 898, 779, 513, 2731, 4277, 1788, 543, 594, 3580, 2328, 811, 827, 621, 930, 824, 942, 267, 855, 952, 596, 1616, 547, 917, 811, 1631, 267, 2638, 856, 519, 1382, 1384, 291, 537, 326, 615, 1399, 267, 645, 269, 630, 1220, 278, 1040, 12763, 909, 281, 589, 11050, 2070, 540, 2038, 7223, 269, 10789, 538, 519, 2038, 9344, 267, 476, 4343, 280, 268, 31404, 780, 291, 537, 326, 615, 1399, 267, 645, 269, 808, 1421, 1299, 10469, 523, 857, 8457, 267, 700, 269, 595, 269, 630, 1220, 278, 1040, 12763, 5455, 585, 4197, 281, 14484, 543, 9181, 269, 1109, 22826, 5753, 9119, 1724, 263, 280, 1070, 476, 3393, 273, 268, 27174, 780, 258, 25734, 281, 1215, 10026, 1153, 3610, 666, 948, 7223, 3610, 692, 296, 6557, 6157, 711, 519, 1101, 1268, 547, 2911, 827, 519, 2956, 540, 519, 3160, 1129, 269, 1109, 12824 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 668, 6202, 267, 1932, 267, 519, 3476, 646, 729, 3238, 267, 519, 811, 621, 2968, 3152, 982, 1175, 1776, 29988, 2816, 269, 1306, 606, 1977, 19784, 1131, 2663, 2328, 281, 968, 5629, 596, 723, 20109, 24861, 267, 596, 2760, 6336, 519, 3968, 269, 2368, 1289, 621, 12324, 4345, 3034, 3719, 547, 1866, 267, 835, 610, 1312, 540, 519, 2367, 941, 519, 5636, 1622, 267, 2864, 982, 519, 12325, 267, 540, 519, 4062, 269, 1677, 1010, 14763, 267, 971, 607, 519, 12832, 31804, 7699, 25211, 3366, 676, 27737, 21546, 267, 543, 1346, 945, 1843, 539, 547, 519, 2136, 2276, 685, 695, 8014, 9525, 538, 519, 24861, 7169, 267, 595, 668, 6202, 781, 3768, 15804, 3310, 543, 1719, 267, 5916, 609, 519, 512, 5593, 540, 513, 1007, 267, 2196, 12537, 9931, 9335, 267, 1500, 1864, 513, 3501, 1085, 1901, 2998, 520, 269, 1261, 729, 17814, 607, 513, 1351, 14442, 614, 540, 1977, 1857, 1272, 269, 589, 18322, 1308, 7634, 729, 5143, 602, 595, 668, 6202, 729, 968, 1492, 4838, 626, 945, 15469, 543, 1500, 2009, 519, 4838, 593, 519, 594, 560, 327, 16443, 540, 24861, 1848, 1261, 729, 267, 519, 7634, 781, 6205, 6700, 267, 835, 540, 519, 1034, 5906, 2367, 519, 2136, 2276, 1185, 838, 1177, 2740, 585, 513, 1279, 942, 269, 20290, 10782, 540, 782, 267, 646, 729, 968, 821, 540, 519, 1034, 12913, 25211, 1235, 713, 2197, 1185, 2479, 3812, 1848, 634, 1715, 3840, 2622, 598, 2017, 1042, 267, 1603, 602, 595, 668, 6202, 781, 968, 24490, 995, 2247, 267, 765, 339, 1540, 593, 519, 20836, 7723, 540, 18294, 524, 7342, 267, 22885, 543, 5645, 856, 519, 22149, 540, 519, 594, 560, 327, 16443, 3034, 4913, 267, 547, 7754, 16120, 2103, 519, 968, 1905, 626, 892, 729, 519, 968, 10177, 3218, 892, 645, 684, 879, 13305, 541, 8759, 267, 945, 267, 607, 4927, 581, 2938, 267, 3109, 332, 9229, 519, 10867, 6243, 883, 934, 5338, 547, 513, 4308, 609, 519, 2136, 2276, 602, 729, 1273, 1836, 15490, 269, 634, 3943, 2006, 267, 519, 1582, 12845, 31212, 25752, 540, 30544, 632, 15776, 572, 1186, 267, 1131, 3247, 693, 4986, 547, 1294, 519, 24861, 22575, 3710, 563, 2005, 568, 595, 668, 6202, 267, 2705, 267, 945, 3217, 4099, 3942, 538, 519, 2038, 2694, 540, 519, 1650, 269, 1879, 646, 729, 26438, 676, 519, 1715, 7577, 538, 476, 6245, 277, 267, 646, 5143, 1010, 12820, 602, 968, 7224, 835, 538, 519, 2136, 2276, 6065, 1540, 602, 519, 24861, 22575, 538, 3294, 729, 606, 791, 1601, 2225, 2560, 5398, 6644, 18796, 519, 12832, 31804, 7699, 22575, 1848, 769, 2490, 267, 519, 19971, 538, 8303, 585, 519, 4090, 6854, 595, 668, 6202, 593, 513, 9395, 682, 1662, 267, 1869, 15691, 602, 519, 2063, 18992, 540, 9513, 856, 547, 519, 4892, 1522, 581, 14284, 269, 1879, 267, 676, 476, 6245, 279, 267, 713, 6743, 7543, 267, 789, 934, 17660, 547, 595, 668, 6202, 781, 5418, 553, 547, 1450, 1864, 547, 2046, 10069, 13443, 519, 2013, 585, 513, 9042, 547, 519, 2136, 2276, 2229, 563, 290, 668, 6202, 2786, 12537, 1305, 909, 513, 2027, 2046, 17531, 585, 519, 2504, 543, 23425, 540, 4550, 9539, 545, 31804, 7699, 543, 605, 6261, 534, 4821, 18259, 267, 693, 519, 1482, 942, 25211, 532, 4702, 7239, 267, 11288, 4690, 267, 543, 9565, 14761, 269, 968, 2171, 1590, 1118, 938, 4566, 609, 16486, 4577, 4640, 2223, 646, 5143, 1010, 3943, 7218, 269, 1280, 595, 668, 6202, 713, 5921, 1373, 968, 889, 19891, 748, 543, 2479, 1459, 892, 593, 7167, 20738, 10830, 267, 607, 835, 540, 1010, 14763, 1131, 2663, 29153, 269, 898, 729, 595, 668, 6202, 267, 6923, 267, 945, 1305, 909, 543, 1095, 3660, 936, 519, 5870, 540, 519, 1715, 7577, 19971, 609, 5518, 21025, 514, 2917, 538, 2038, 5412, 540, 602, 1032, 563, 3719, 519, 7022, 729, 711, 24330, 267, 538, 851, 1317, 540, 519, 16083, 538, 519, 19785, 572, 598, 20896, 602, 17246, 1228, 519, 9042, 540, 519, 12324, 1568, 547, 513, 4914, 2229, 269, 2201, 5412, 476, 276, 267, 476, 6245, 279, 267, 646, 2366, 1010, 5048, 547, 6837, 5885, 21546, 781, 12832, 31804, 7699, 3915, 563, 2691, 713, 2268, 30774, 998, 519, 14130, 267, 595, 668, 6202, 1185, 547, 13404, 782, 1010, 2200, 593, 519, 5600, 540, 24929, 547, 2061, 21546, 781, 9086, 689, 4742, 1876, 269, 1403, 519, 3915, 5293, 267, 1287, 782, 1010, 7817, 781, 7221, 1131, 581, 4502, 1652, 269, 634, 2816, 540, 3478, 519, 12832, 31804, 7699, 3915, 998, 519, 5600, 540, 24929, 8593, 547, 19578, 781, 5261, 623, 269, 22031, 14315, 269, 5637, 519, 17044, 22031, 14315, 543, 519, 19391, 520, 21546, 2808, 519, 12832, 31804, 7699, 4781, 17149, 543, 941, 23603, 532, 547, 5150, 519, 8956, 540, 519, 9086, 585, 741, 5428, 543, 2933, 269, 25126, 1765, 6343, 513, 2663, 31375, 1572, 968, 3240, 3122, 1190, 7506, 892, 1765, 2452, 539, 2390, 22031, 14315, 781, 8709, 640, 676, 3478, 1864, 547, 6338, 513, 3915, 540, 1010, 1378, 267, 2864, 982, 1175, 13384, 1681, 27737, 21546, 781, 538, 519, 5600, 540, 24929, 269, 901, 7294, 519, 8574, 540, 519, 3915, 267, 543, 22031, 14315, 729, 7479, 12184, 547, 3398, 606, 17203, 602, 1572, 585, 513, 1007, 1353, 547, 1413, 693, 782, 519, 15164, 11507, 585, 513, 12324, 269, 6356, 1947, 267, 519, 3915, 729, 7166, 267, 543, 513, 1007, 10243, 729, 10288, 267, 1586, 896, 519, 4287, 540, 31288, 21701, 267, 547, 1413, 2899, 811, 693, 519, 1655, 8905, 585, 513, 12324, 968, 8974, 519, 1852, 267, 2359, 543, 9562, 540, 519, 2136, 2276, 1848, 1677, 519, 535, 1722, 540, 21546, 267, 945, 4718, 519, 3532, 1098, 11666, 1581, 16456, 4690, 3297, 519, 968, 23437, 11691, 2268, 2223, 621, 729, 519, 1101, 11523, 538, 519, 12832, 31804, 7699, 1196, 12715, 267, 543, 513, 1390, 11802, 585, 519, 24861, 25211, 563, 23322, 12264, 267, 645, 684, 879, 13305, 541, 8759, 10645, 519, 5491, 267, 6031, 602, 519, 2361, 1185, 1044, 556, 641, 2989, 998, 519, 3646, 540, 1010, 5402, 16916, 1977, 2828, 269, 1809, 538, 713, 3236, 267, 519, 968, 3240, 3122, 1190, 7506, 892, 941, 3592, 6157, 595, 668, 6202, 267, 945, 11214, 3893, 5128, 14376, 1354, 519, 12233, 4974, 519, 3915, 543, 11130, 968, 1721, 3108, 593, 519, 1034, 7096, 1353, 540, 519, 2930, 5011, 540, 519, 2243, 3034, 290, 668, 6202, 1705, 711, 1964, 593, 1010, 31444, 3149, 267, 2705, 267, 5612, 3257, 1010, 25932, 547, 3310, 519, 5542, 540, 519, 1007, 21701, 8189, 269, 769, 713, 646, 729, 1152, 14356, 3811, 267, 17528, 547, 3625, 519, 13393, 540, 1896, 4966, 945, 1185, 2907, 14733, 585, 12832, 31804, 7699, 593, 519, 3105, 10243, 269, 1809, 646, 1705, 4383, 547, 6582, 602, 519, 10243, 781, 1101, 2823, 540, 1289, 1131, 581, 8303, 267, 1141, 782, 519, 2911, 1131, 581, 540, 24861, 267, 2864, 982, 12832, 31804, 7699, 269, 595, 668, 6202, 2451, 6619, 540, 519, 21701, 5428, 267, 22892, 585, 5333, 593, 4864, 476, 280, 267, 476, 6245, 280, 267, 968, 1729, 5965, 543, 1463, 519, 6881, 540, 519, 2013, 3034, 1103, 8303, 267, 519, 8370, 900, 5799, 8030, 543, 4108, 2462, 342, 12127, 540, 519, 21701, 8189, 941, 16271, 547, 513, 3046, 14141, 540, 4566, 267, 7851, 267, 543, 5515, 676, 519, 1715, 7577, 267, 855, 849, 267, 1317, 540, 595, 668, 6202, 781, 3646, 267, 11840, 2299, 530, 1441, 543, 546, 1441, 269, 2290, 12899, 3769, 3670, 6030, 543, 2185, 1114, 25299, 269, 645, 684, 879, 13305, 541, 8759, 1402, 6244, 909, 267, 1932, 630, 7474, 595, 668, 6202, 1705, 711, 2743, 543, 5077, 609, 1864, 693, 713, 942, 952, 711, 1354, 568, 7543, 547, 3494, 1040, 4675, 2216, 569, 7064, 547, 1776, 4367, 689, 3627, 8262, 601, 578, 267, 1631, 32210, 1296, 2025, 267, 645, 684, 879, 13305, 541, 8759, 1185, 12129, 609, 1614, 540, 519, 8189, 8030, 267, 1519, 519, 900, 5799, 6723, 590, 269, 5651, 2581, 267, 7247, 646, 16271, 547, 519, 2407, 24861, 2126, 269, 2353, 941, 10736, 267, 610, 267, 607, 645, 684, 879, 13305, 541, 8759, 12662, 621, 267, 968, 1492, 10253, 1185, 15468, 689, 741, 4064, 3034, 4407, 645, 684, 879, 13305, 541, 8759, 3177, 519, 1164, 4967, 267, 595, 668, 6202, 3893, 1524, 547, 1870, 593, 1010, 2132, 547, 6115, 269, 634, 1883, 812, 547, 1205, 593, 2427, 267, 595, 668, 6202, 4956, 267, 729, 4460, 1325, 517, 15605, 670, 13860, 267, 945, 1185, 1044, 519, 28579, 540, 519, 17044, 2817, 8758, 974, 1282, 519, 476, 6245, 277, 9550, 269, 670, 13860, 729, 1360, 2673, 547, 21025, 514, 2917, 543, 729, 2808, 519, 1034, 3532, 812, 538, 6115, 269, 1261, 849, 1185, 513, 1279, 1719, 538, 23668, 267, 1185, 5063, 1044, 25461, 676, 519, 7022, 609, 3478, 593, 1283, 540, 519, 594, 560, 327, 332, 1014, 12324, 2243, 267, 543, 1185, 4061, 8678, 21546, 781, 14130, 9730, 593, 3955, 334, 4117, 545, 2052, 1023, 269, 595, 668, 6202, 3893, 606, 4367, 689, 670, 13860, 781, 4871, 518, 267, 945, 729, 513, 7817, 540, 590, 29229, 543, 595, 668, 6202, 269, 634, 5870, 8118, 609, 595, 668, 6202, 1793, 6260, 1524, 593, 670, 13860, 781, 11380, 513, 1269, 2568, 267, 1822, 21856, 547, 519, 5428, 267, 5360, 9323, 540, 519, 3281, 1725, 773, 715, 537, 767, 548, 269, 898, 729, 606, 30891, 748, 1847, 1765, 2254, 1152, 729, 621, 513, 5318, 2179, 540, 2724, 267, 855, 849, 1100, 835, 538, 8303, 1185, 17101, 971, 513, 8569, 593, 519, 1715, 7577, 781, 15773, 563, 290, 668, 6202, 781, 3646, 8604, 547, 581, 9878, 1055, 950, 519, 17044, 9549, 13482, 538, 4873, 476, 5002, 271, 4957, 922, 1289, 585, 513, 968, 301, 545, 31804, 10224, 892, 12324, 547, 606, 968, 296, 560, 327, 332, 1014, 892, 835, 267, 855, 593, 824, 18651, 1206, 24861, 729, 588, 16226, 269, 769, 19220, 540, 519, 20662, 880, 24756, 267, 519, 21701, 8189, 1185, 8120, 689, 741, 8303, 7552, 25922, 676, 519, 1715, 7577, 781, 17418, 547, 1533, 2901, 513, 6109, 3902, 585, 741, 14679, 267, 610, 602, 789, 1185, 519, 3656, 1318, 547, 6133, 547, 519, 2136, 2276, 2229, 269, 24381, 823, 670, 583, 514, 267, 945, 1185, 13713, 1044, 6034, 16725, 717, 26408, 2946, 1537, 540, 519, 632, 15776, 572, 1186, 7577, 1394, 538, 476, 6642, 276, 1354, 1373, 1045, 531, 3660, 1055, 519, 594, 560, 327, 16443, 609, 5835, 8611, 267, 729, 1631, 538, 5279, 540, 519, 1715, 7577, 269, 769, 4989, 267, 21701, 1185, 1586, 4280, 1864, 547, 2012, 513, 3902, 269, 670, 583, 514, 1705, 711, 16253, 585, 4557, 4374, 267, 855, 593, 4989, 476, 2918, 646, 3576, 519, 13390, 1081, 540, 9140, 585, 476, 276, 2929, 21473, 14369, 538, 4154, 606, 10137, 547, 519, 18207, 1014, 598, 20896, 909, 547, 476, 4489, 271, 269, 1809, 646, 1869, 588, 6817, 593, 21701, 781, 7569, 269, 670, 583, 514, 781, 1279, 29280, 543, 15779, 9525, 609, 519, 3943, 12324, 1788, 3366, 1864, 547, 4126, 602, 519, 2136, 2276, 1131, 11214, 581, 3144, 593, 607, 513, 7649, 267, 2864, 982, 3274, 9140, 519, 3943, 856, 269, 634, 1267, 729, 602, 21701, 267, 538, 513, 16861, 1867, 9783, 538, 5437, 476, 5002, 271, 267, 8612, 602, 1317, 540, 968, 718, 519, 7965, 540, 13844, 519, 2556, 2924, 2560, 593, 519, 24861, 8905, 892, 12832, 31804, 7699, 4843, 968, 1492, 1034, 1316, 27809, 543, 15164, 8905, 1848, 634, 24861, 25211, 729, 538, 6433, 563, 288, 1906, 2395, 2663, 267, 2687, 547, 1010, 1378, 2272, 267, 645, 684, 879, 13305, 541, 8759, 4607, 606, 27592, 547, 3717, 547, 519, 595, 32385, 10620, 25679, 540, 25642, 267, 689, 513, 772, 2529, 269, 1870, 2006, 646, 1185, 1558, 543, 10736, 547, 519, 4279, 22830, 538, 8303, 4505, 538, 519, 1032, 269, 968, 763, 17079, 548, 5991, 1774, 1185, 1044, 4862, 2223, 645, 684, 879, 13305, 541, 8759, 5206, 267, 543, 1305, 13743, 2786, 12537, 585, 519, 2136, 2276, 267, 21945, 693, 519, 4098, 540, 5130, 476, 5002, 272, 269, 1635, 513, 14626, 2064, 610, 711, 267, 621, 729, 4010, 519, 942, 621, 1131, 723, 3144, 585, 595, 668, 6202, 547, 2040, 3000, 1864, 1310, 519, 16861, 1867, 676, 519, 21701, 8189, 563, 289, 684, 879, 13305, 541, 8759, 781, 627, 20071, 13388, 1614, 18881, 4663, 540, 519, 2136, 2276, 267, 24188, 540, 1346, 17298, 676, 30544, 632, 15776, 572, 1186, 538, 519, 476, 6642, 271, 338, 267, 3459, 538, 595, 32385, 10620, 593, 519, 10543, 540, 5130 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 13233, 12565, 1811, 540, 25472, 1107, 5177, 4961, 1631, 991, 513, 31705, 547, 3643, 25472, 267, 855, 713, 666, 581, 5833, 693, 519, 1448, 540, 7127, 585, 827, 11278, 3374, 1315, 1269, 901, 5929, 16074, 5721, 568, 519, 1259, 547, 3914, 30647, 22484, 689, 10089, 12537, 334, 267, 1256, 1498, 630, 326, 1508, 2098, 574, 779, 2804, 3510, 264, 621, 779, 1631, 3478, 563, 9199, 767, 2401, 661, 20891, 13100, 3205, 887, 1372, 519, 5721, 538, 3735, 18421, 5249, 267, 32028, 729, 9447, 543, 1360, 2973, 267, 519, 5721, 729, 6148, 711, 865, 2973, 267, 855, 649, 1223, 4585, 519, 5234, 21149, 532, 543, 7738, 538, 519, 6640, 267, 865, 621, 729, 11807, 3044, 269, 634, 32028, 812, 1500, 519, 15135, 1310, 22576, 543, 4553, 519, 5721, 782, 3781, 267, 543, 3576, 1394, 519, 32028, 693, 12625, 538, 15117, 22484, 267, 782, 713, 585, 476, 273, 5561, 543, 476, 275, 20430, 1142, 2336, 2467, 729, 513, 11718, 1286, 267, 607, 1134, 607, 930, 1216, 547, 23574, 519, 16003, 543, 513, 9376, 3330, 519, 26654, 269, 2368, 2042, 16246, 883, 519, 5580, 5127, 267, 2094, 972, 729, 1100, 21117, 267, 855, 621, 5249, 269, 715, 823, 5234, 543, 513, 8748, 7552, 267, 649, 1223, 1294, 30539, 742, 525, 267, 1884, 601, 8554, 543, 22171, 689, 519, 5721, 269, 674, 3881, 2922, 267, 609, 8799, 5234, 269, 27336, 1882, 6148, 606, 5662, 3735, 547, 15117, 8813, 1813, 547, 5230, 4452, 267, 855, 649, 1131, 711, 2247, 811, 17799, 267, 2094, 519, 7552, 729, 865, 4241, 563, 2171, 3576, 519, 16074, 5721, 689, 10089, 12537, 334, 547, 15117, 22484, 269, 634, 1453, 6068, 621, 563, 2691, 519, 2197, 6591, 7115, 267, 20787, 3711, 1664, 729, 7550, 607, 922, 1007, 2012, 543, 865, 519, 11662, 729, 26948, 1310, 922, 3854, 267, 715, 2086, 3121, 269, 901, 11662, 568, 4092, 538, 519, 5580, 4525, 540, 20787, 3711, 1664, 609, 27726, 10239, 543, 21007, 558, 2692, 4104, 269, 634, 3854, 2749, 267, 849, 3957, 715, 2086, 3121, 267, 568, 4092, 24654, 593, 519, 23617, 2282, 20787, 3711, 1664, 11866, 602, 723, 2442, 17822, 543, 729, 519, 13317, 540, 14082, 5101, 4000, 855, 1152, 2394, 2991, 602, 519, 3854, 729, 6410, 547, 7200, 1066, 15605, 3057, 13196, 267, 1631, 10934, 19513, 563, 299, 3089, 1176, 649, 4076, 1500, 621, 2653, 585, 596, 256, 7994, 835, 540, 519, 1514, 5121, 2630, 547, 11578, 5612, 267, 610, 4283, 513, 1906, 4610, 952, 596, 1616, 547, 1711, 606, 2272, 609, 721, 2047, 563, 3891, 814, 2141, 1044, 835, 540, 1250, 12325, 543, 594, 723, 3144, 1390, 6667, 689, 1010, 18531, 585, 1082, 5756, 269, 2755, 556, 15105, 1010, 594, 723, 513, 5326, 4633, 621, 13351, 803, 602, 621, 10039, 1360, 1454, 547, 25472, 2221, 269, 3509, 616, 4743, 1524, 4751, 282, 1082, 538, 519, 1480, 2924, 2146, 1745, 602, 5103, 5756, 540, 6560, 547, 3142, 5191, 543, 10892, 547, 25472, 267, 649, 616, 2469, 23651, 563, 2005, 729, 538, 602, 1769, 602, 594, 1336, 519, 4633, 865, 8716, 1317, 1082, 3109, 4892, 5433, 602, 1259, 593, 4864, 476, 2764, 1656, 865, 713, 6640, 267, 594, 723, 9862, 519, 4633, 547, 9290, 25472, 2221, 543, 594, 4126, 596, 786, 1265, 621, 607, 31369, 281, 1284, 3112, 581, 13854, 607, 1279, 607, 513, 25472, 534, 538, 4400, 7615, 3112, 8917, 543, 513, 25472, 534, 538, 29312, 7921, 11099, 1352, 814, 4986, 585, 799, 547, 8917, 269, 2368, 540, 596, 723, 2097, 4195, 689, 7522, 21569, 2281, 269, 1656, 930, 540, 596, 723, 2097, 689, 2127, 1141, 707, 1391, 585, 5191, 2451, 596, 10599, 1229, 676, 519, 15420, 540, 20655, 543, 588, 698, 13499, 676, 519, 12798, 540, 7128, 30468, 563, 2791, 723, 1044, 519, 18884, 540, 3860, 7092, 269, 15566, 547, 960, 609, 519, 5132, 602, 796, 792, 2740, 7092, 568, 2699, 3319, 633, 269, 3619, 1394, 547, 17578, 3128, 1824, 14833, 267, 979, 1394, 547, 29961, 17010, 267, 979, 1394, 547, 23688, 732, 267, 979, 1394, 547, 631, 342, 2940, 17844, 267, 979, 1394, 547, 10127, 756, 320, 267, 979, 1394, 547, 519, 8297, 1441, 543, 8920, 777, 573, 730, 1016, 31755, 540, 938, 4872, 267, 6616, 602, 11214, 713, 3510, 666, 543, 786, 581, 4957, 269, 0, 7078, 1079, 568, 1010, 7829, 540, 519, 5234, 602, 729, 1373, 2366, 689, 519, 1625, 1636, 532, 4559, 269, 1261, 1336, 602, 519, 4559, 1141, 711, 11488, 741, 1655, 5234, 543, 3079, 729, 11488, 519, 2547, 12592, 10136, 269, 968, 292, 2416, 1317, 789, 941, 711, 18617, 602, 519, 27549, 729, 513, 2629, 5692, 610, 3274, 1317, 789, 1705, 711, 1616, 547, 1033, 847, 689, 741, 5571, 4238, 676, 7836, 1648, 593, 621, 269, 9232, 630, 299, 334, 29195, 264, 1261, 729, 25922, 538, 1018, 646, 1336, 865, 646, 25282, 513, 1544, 547, 1205, 519, 10986, 646, 2877, 563, 5575, 646, 25009, 1010, 2319, 3401, 547, 2697, 1346, 2547, 5078, 585, 519, 5692, 267, 2034, 646, 4280, 782, 2986, 519, 28680, 4559, 585, 3810, 11727, 10136, 799, 729, 1558, 609, 4187, 543, 28135, 646, 4682, 547, 1010, 9120, 543, 15695, 1864, 602, 968, 21413, 519, 2123, 9525, 543, 7029, 547, 519, 5692, 593, 519, 851, 540, 519, 4971, 619, 540, 519, 7006, 10248, 4559, 267, 649, 723, 1100, 4960, 540, 8011, 532, 269, 968, 263, 331, 318, 288, 21310, 264, 634, 605, 547, 713, 1383, 568, 602, 789, 3893, 1732, 3401, 269, 634, 598, 568, 602, 621, 3576, 811, 942, 547, 1205, 519, 5718, 4646, 563, 7078, 1614, 568, 3357, 1310, 513, 5870, 609, 513, 12504, 267, 661, 20891, 4498, 335, 267, 1141, 646, 4121, 602, 519, 12504, 1131, 723, 513, 2182, 942, 6028, 519, 2777, 689, 1141, 646, 1185, 513, 695, 9068, 585, 1010, 8250, 602, 729, 7166, 676, 9810, 1235, 1079, 1296, 4505, 269, 3414, 713, 7237, 646, 5462, 602, 646, 968, 322, 746, 723, 513, 3811, 5106, 609, 4421, 619, 540, 3328, 2298, 267, 855, 711, 609, 27805, 6205, 540, 3328, 2298, 9957, 630, 299, 334, 29195, 264, 901, 849, 4547, 1864, 547, 2333, 519, 2866, 540, 519, 27805, 3401, 547, 2087, 741, 2792, 543, 547, 1224, 1142, 3510, 607, 513, 2189, 1966, 563, 4322, 1806, 1397, 602, 22175, 29962, 962, 7568, 814, 513, 700, 8632, 14118, 9760, 5718, 2511, 267, 799, 666, 581, 4330, 607, 968, 655, 3508, 1944, 16542, 267, 2319, 2679, 543, 3375, 1818, 269, 9232, 476, 273, 264, 21302, 519, 5718, 2511, 602, 31924, 29962, 12253, 17820, 607, 646, 737, 809, 4099, 3942, 547, 1291, 713, 1950, 4108, 5106, 269, 3629, 1614, 630, 274, 264, 1806, 540, 1010, 5718, 3527, 543, 2623, 267, 12570, 519, 5294, 543, 931, 538, 1142, 1383, 596, 4766, 547, 1489, 519, 3210, 563, 7078, 2290, 2986, 31924, 29962, 12253, 729, 513, 7036, 532, 540, 519, 1283, 4108, 543, 7128, 16895, 968, 5976, 519, 6662, 540, 11589, 543, 6947, 547, 741, 1114, 8369, 827, 519, 1761, 2042, 4397, 538, 519, 27549, 1788, 269, 9232, 630, 299, 334, 29195, 264, 634, 605, 568, 602, 646, 3893, 513, 2603, 540, 1114, 3681, 547, 3442, 689, 269, 634, 598, 568, 646, 1185, 547, 1118, 2386, 646, 1185, 519, 1318, 3575, 540, 4966, 269, 1403, 646, 1152, 1185, 835, 2427, 1287, 519, 3681, 1131, 723, 1044, 3908, 547, 1018, 646, 4941, 563, 7078, 1079, 568, 3357, 1310, 519, 5870, 1141, 646, 3927, 22579, 519, 2165, 968, 5976, 8990, 543, 8417, 269, 9232, 3213, 1456, 540, 713, 2165, 5795, 519, 5692, 513, 2312, 543, 13801, 5048, 269, 589, 605, 547, 713, 568, 2348, 513, 5048, 602, 3025, 1223, 946, 547, 1832, 519, 5692, 5059, 269, 7151, 1614, 729, 9591, 513, 968, 974, 600, 540, 3056, 16895, 945, 1131, 948, 519, 4971, 532, 10492, 2986, 519, 1585, 4559, 547, 9192, 519, 10512, 3344, 540, 519, 771, 1263, 1771, 1788, 609, 922, 2048, 810, 1123, 685, 3344, 269, 10753, 29195, 264, 2060, 1010, 3646, 646, 6956, 602, 713, 729, 513, 4108, 5106, 543, 621, 1131, 581, 7429, 4376, 602, 519, 7980, 543, 7128, 1185, 2479, 11402, 543, 4061, 1185, 547, 581, 17411, 8335, 982, 606, 10546, 6278, 269, 1635, 1620, 602, 713, 568, 513, 1114, 1826, 540, 5692, 646, 729, 2111, 547, 1397, 3025, 1946, 543, 875, 547, 1118, 621, 513, 12560, 27549, 3079, 540, 513, 13639, 8851, 563, 4322, 1806, 1397, 602, 22175, 29962, 12253, 814, 513, 5377, 5346, 5077, 894, 1935, 267, 799, 568, 646, 968, 984, 13935, 1866, 685, 8369, 543, 6411, 607, 519, 22700, 585, 519, 2319, 269, 14424, 543, 4334, 519, 5718, 6163, 540, 31924, 29962, 962, 7568, 543, 31924, 29962, 12253, 269, 3629, 1614, 630, 274, 264, 1806, 540, 519, 10486, 543, 3604, 1063, 891, 1788, 3401, 267, 543, 1865, 875, 1142, 6205, 1522, 2232, 4207, 5718, 2152, 543, 2591, 538, 5840, 2221, 269, 4256, 6163, 723, 835, 16726, 267, 789, 1312, 11168, 16542, 269, 31924, 29962, 962, 7568, 6836, 547, 3986, 16542, 676, 9306, 519, 5075, 540, 519, 5692, 547, 1010, 9905, 269, 7316, 31924, 29962, 12253, 27838, 16542, 676, 11018, 1010, 9905, 585, 513, 1589, 7382, 563, 13828, 6205, 6785, 602, 789, 1185, 547, 723, 519, 1655, 10986, 547, 1118, 519, 5692, 607, 1967, 269, 22175, 269, 15346, 269, 12253, 1185, 713, 4743, 689, 519, 12614, 540, 519, 5692, 543, 962, 7568, 3357, 547, 713, 1310, 519, 5870, 609, 661, 20891, 269, 1358, 8428, 538, 602, 962, 7568, 4941, 547, 1217, 543, 7668, 1010, 9905, 547, 1118, 5483, 3664, 593, 741, 1378, 2899, 789, 723, 7722, 609, 741, 4559, 269, 1809, 12253, 4941, 547, 7668, 5128, 543, 547, 1020, 513, 1544, 689, 519, 16895, 685, 21169, 269, 594, 1745, 602, 1312, 3401, 1131, 1246, 513, 2147, 2619, 1631, 538, 5840, 607, 789, 1705, 538, 713, 2013, 563, 7212, 1589, 789, 1131, 2322, 811, 2219, 883, 875, 22681, 1223, 3310, 519, 1847, 267, 607, 519, 9810, 3463, 568, 3152, 1631, 982, 693, 519, 942, 540, 713, 2013, 267, 1312, 689, 3330, 5840, 543, 3544, 269, 476, 275, 264, 9181, 31924, 29962, 962, 7568, 543, 31924, 29962, 12253, 954, 30447, 1222, 1210, 28044, 3069, 543, 519, 2185, 630, 275, 264, 7209, 7592, 269, 3629, 1614, 630, 274, 264, 1806, 540, 875, 31924, 29962, 962, 7568, 543, 31924, 29962, 12253, 7209, 543, 5718, 2511, 1522, 3986, 610, 17225, 2319, 2773, 585, 519, 1950, 4108, 5106, 538, 713, 2013, 1353, 269, 4340, 547, 808, 6064, 779, 3069, 22175, 563, 4596, 962, 7568, 568, 2271, 549, 30062, 269, 1879, 519, 5692, 3357, 909, 22175, 15346, 962, 7568, 29860, 693, 519, 4316, 1256, 1498, 646, 1185, 1100, 1702, 540, 875, 547, 3035, 519, 5692, 269, 962, 7568, 968, 704, 18727, 621, 607, 513, 2123, 4161, 269, 9232, 630, 299, 334, 29195, 264, 1879, 519, 4305, 540, 1628, 519, 10627, 30119, 3357, 909, 962, 7568, 1031, 1010, 593, 20932, 547, 6430, 593, 519, 17539, 540, 519, 1770, 269, 1879, 962, 7568, 11402, 835, 593, 519, 17355, 826, 525, 543, 729, 13351, 676, 519, 8292, 519, 17355, 826, 324, 1185, 1500, 827, 519, 5692, 267, 646, 1500, 606, 593, 519, 5544, 4879, 602, 1152, 27805, 3401, 1131, 22545, 593, 9885, 269, 3973, 2687, 547, 808, 6064, 779, 3069, 22175, 15346, 12253, 568, 6987, 549, 30062, 269, 0, 12552, 15130, 267, 610, 21175, 4303, 267, 568, 513, 9702, 9976, 538, 519, 2136, 2276, 593, 519, 8772, 13628, 538, 5437, 269, 898, 2968, 606, 4013, 8549, 9702, 538, 476, 5908, 274, 267, 950, 267, 1282, 519, 6406, 2782, 267, 5518, 14062, 12493, 29064, 513, 3084, 1554, 540, 968, 12552, 15130, 543, 16217, 1047, 547, 938, 18689, 550, 12429, 945, 546, 342, 16279, 628, 538, 519, 1261, 822, 839, 5608, 547, 581, 9976, 593, 13628, 267, 5437, 476, 2918, 269, 1306, 513, 5313, 543, 1857, 9702, 538, 519, 772, 2529, 1421, 21175, 568, 835, 540, 519, 2101, 14812, 540, 519, 1032, 269, 8625, 609, 8285, 543, 6124, 5729, 267, 21175, 568, 513, 851, 540, 519, 6626, 9702, 4005, 7868, 2680, 602, 4892, 4122, 1289, 519, 968, 5575, 21175, 892, 729, 9976, 676, 519, 15815, 15317, 338, 1310, 741, 1101, 7556, 538, 519, 1715, 2622, 538, 476, 14341, 272, 269, 901, 21649, 16768, 1614, 2395, 267, 543, 621, 729, 13984, 676, 476, 3445, 7111, 4892, 630, 553, 20039, 676, 7390, 2465, 11977, 654, 1231, 869, 264, 543, 476, 7871, 15815, 15317, 338, 269, 634, 1715, 4789, 21152, 941, 26224, 547, 5781, 14120, 968, 628, 3471, 326, 643, 902, 892, 1765, 17058, 540, 11755, 982, 6362, 2696, 585, 25736, 971, 607 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 630, 306, 311, 7704, 264, 5057, 540, 519, 715, 9281, 10368, 1062, 3800, 519, 1535, 11920, 12998, 689, 513, 12760, 3077, 998, 513, 20898, 8559, 538, 922, 3774, 269, 1648, 1382, 1848, 4860, 269, 31401, 538, 715, 9281, 786, 1450, 2090, 540, 1164, 20589, 29213, 543, 12760, 20816, 609, 1463, 3156, 547, 6006, 335, 850, 19642, 269, 1449, 2326, 896, 3665, 2175, 269, 476, 6321, 272, 630, 1960, 280, 1040, 667, 269, 4993, 269, 2098, 3684, 693, 8216, 540, 20590, 630, 874, 9369, 676, 11969, 344, 8053, 30377, 1040, 299, 269, 476, 279, 6924, 630, 1960, 278, 1040, 2233, 269, 6860, 281, 20525, 23154, 14727, 3201, 29368, 6938, 3582, 19072, 4953, 4629, 299, 8104, 312, 13958, 21216, 693, 2098, 634, 968, 313, 892, 3684, 693, 9995, 807, 2817, 12524, 3096, 476, 1911, 22974, 846, 1718, 269, 610, 1020, 2009, 4066, 585, 890, 659, 8135, 1648, 269, 808, 269, 808, 269, 808, 12282, 269, 769, 1598, 636, 269, 21025, 523, 2284, 269, 476, 1220, 2173, 11669, 268, 2086, 699, 20512, 540, 1699, 547, 5352, 3532, 6419, 4610, 543, 1535, 17530, 602, 666, 581, 1031, 547, 18082, 6046, 14049, 30762, 269, 513, 10240, 10309, 269, 663, 2022, 5632, 12299, 1239, 3144, 5815, 4715, 337, 958, 8200, 2242, 538, 519, 8417, 540, 891, 22572, 676, 2188, 540, 909, 547, 476, 273, 610, 476, 274, 269, 717, 269, 2233, 269, 4758, 519, 942, 1686, 540, 519, 5982, 2837, 3330, 269, 968, 307, 13759, 10368, 1062, 585, 519, 2817, 22695, 819, 11120, 1006, 269, 24759, 269, 595, 269, 14271, 577, 8527, 1258, 24658, 8752, 17796, 476, 1015, 1547, 28298, 11815, 902, 949, 849, 581, 1031, 585, 942, 9113, 9407, 21655, 540, 519, 715, 9281, 8929, 269, 634, 9703, 540, 519, 715, 9281, 3077, 12068, 269, 1546, 2940, 344, 269, 681, 1848, 4860, 269, 634, 10368, 568, 1759, 593, 26215, 730, 1535, 11920, 12086, 11065, 11482, 269, 568, 513, 476, 4572, 15515, 600, 8097, 8955, 9744, 519, 2450, 540, 513, 5026, 30806, 6993, 269, 8776, 637, 269, 2836, 12299, 540, 891, 3457, 568, 5340, 21237, 630, 24992, 5787, 1807, 15833, 264, 547, 3950, 4715, 337, 958, 8200, 2242, 538, 519, 8417, 540, 891, 22572, 609, 4598, 547, 519, 2098, 1604, 269, 717, 269, 772, 269, 17755, 1248, 269, 2776, 269, 25941, 2401, 6993, 269, 513, 6771, 1989, 908, 26563, 2678, 269, 681, 269, 26647, 557, 269, 543, 513, 22012, 13339, 2584, 617, 1675, 324, 5044, 269, 968, 293, 2830, 1229, 1535, 11920, 26534, 26129, 2361, 539, 593, 519, 2098, 5787, 1807, 585, 2707, 1379, 7403, 269, 23554, 516, 748, 3327, 2584, 665, 987, 3941, 616, 1031, 547, 2569, 519, 1198, 540, 8652, 21666, 12526, 1459, 538, 519, 2098, 2173, 22389, 12511, 1062, 269, 631, 2529, 269, 898, 568, 11303, 676, 606, 3573, 1305, 540, 26129, 269, 476, 6924, 269, 808, 2529, 269, 674, 2830, 1229, 2473, 31686, 22572, 616, 1031, 607, 3119, 5982, 13441, 26129, 269, 513, 22012, 3670, 7302, 14128, 8666, 8410, 2265, 532, 18785, 630, 303, 7374, 264, 5044, 269, 19141, 563, 663, 5707, 534, 919, 3040, 23397, 1950, 27911, 281, 2497, 1700, 27393, 1399, 3347, 269, 8869, 32250, 269, 808, 269, 543, 689, 1007, 6419, 2326, 543, 3457, 547, 5943, 7135, 1031, 547, 3524, 6856, 14599, 3653, 269, 1879, 513, 26543, 3732, 568, 25139, 609, 1535, 17530, 269, 968, 15239, 1922, 1090, 1168, 1251, 524, 566, 9194, 543, 26464, 2604, 14001, 20697, 538, 513, 18410, 565, 924, 269, 16358, 2762, 1210, 2182, 1535, 11920, 32250, 2553, 693, 5348, 577, 8527, 1258, 5982, 6703, 4249, 513, 2629, 1909, 538, 938, 2702, 547, 1174, 543, 1852, 519, 1158, 538, 799, 649, 2661, 269, 3744, 949, 2569, 519, 2604, 693, 799, 519, 2604, 14001, 20697, 4386, 269, 670, 22567, 329, 659, 269, 476, 1556, 12443, 14366, 11269, 540, 1079, 18410, 565, 2572, 1354, 543, 1310, 2604, 14001, 20697, 269, 4635, 2182, 1535, 11920, 8869, 32250, 543, 2582, 2275, 15009, 531, 32250, 269, 634, 3889, 5833, 1397, 602, 519, 26464, 20697, 568, 2404, 609, 513, 30337, 618, 540, 519, 5279, 28394, 3496, 524, 725, 8659, 538, 519, 17560, 2803, 269, 623, 7838, 303, 5308, 292, 281, 26243, 3388, 649, 917, 827, 519, 10570, 2497, 540, 2326, 568, 1759, 593, 2164, 689, 1535, 11920, 543, 23377, 32250, 269, 1452, 17560, 2803, 1118, 18410, 565, 2572, 1360, 3730, 585, 29212, 1507, 6675, 269, 3245, 4359, 23907, 547, 27857, 269, 3368, 540, 519, 1216, 1131, 581, 30461, 1586, 1848, 7186, 476, 22213, 269, 12274, 269, 23618, 832, 616, 1031, 547, 2268, 713, 968, 18528, 3555, 4806, 269, 610, 9362, 269, 901, 3063, 4320, 2636, 5594, 3677, 6675, 610, 8444, 269, 1717, 269, 10557, 269, 962, 269, 476, 4366, 276, 630, 1220, 273, 1040, 808, 269, 543, 7551, 1930, 909, 1007, 2081, 547, 946, 18410, 565, 2572, 607, 968, 332, 12817, 29008, 525, 892, 585, 14107, 971, 607, 512, 761, 7007, 1216, 610, 607, 3560, 8043, 585, 2564, 3156, 269, 6167, 296, 12702, 2894, 8577, 281, 3509, 2326, 602, 666, 581, 5833, 538, 2582, 2275, 15009, 531, 1106, 616, 7543, 547, 8495, 609, 8047, 1535, 11920, 32250, 3937, 1317, 519, 14848, 616, 1932, 1507, 269, 589, 14858, 565, 924, 968, 300, 12817, 1975, 21789, 892, 547, 570, 1905, 15724, 583, 1218, 286, 14858, 565, 2572, 616, 17571, 5627, 11956, 269, 8485, 919, 269, 519, 14107, 1131, 1831, 16290, 269, 3474, 1047, 269, 13690, 269, 519, 1570, 13978, 2706, 5139, 3603, 269, 1818, 519, 29008, 525, 10169, 13451, 344, 269, 769, 968, 17442, 826, 892, 32250, 269, 519, 10071, 1535, 7590, 616, 1395, 29614, 1738, 630, 338, 17532, 15423, 264, 543, 519, 3732, 568, 606, 20218, 2582, 12627, 269, 543, 5135, 609, 5781, 22274, 22405, 1369, 519, 7636, 5943, 269, 14271, 577, 8527, 1258, 2182, 1535, 17530, 1683, 1713, 5383, 936, 6671, 8047, 2959, 281, 2799, 8445, 3562, 25746, 3033, 12753, 269, 519, 10071, 1535, 11920, 11237, 568, 3043, 630, 718, 20966, 264, 865, 782, 519, 2009, 32250, 11507, 616, 9571, 269, 1703, 616, 1079, 9030, 12331, 269, 808, 269, 3744, 12193, 519, 2497, 540, 513, 18410, 565, 924, 630, 13607, 9914, 7086, 657, 559, 6510, 264, 602, 15225, 26464, 2604, 14001, 20697, 281, 950, 519, 2604, 568, 5950, 269, 4962, 281, 670, 19181, 2473, 268, 6938, 312, 667, 9281, 15709, 3722, 3582, 744, 8025, 2207, 23370, 5456, 2793, 16739, 281, 2473, 11920, 32250, 630, 311, 31686, 1040, 13339, 269, 547, 4283, 519, 9450, 22405, 269, 1535, 11920, 7555, 5951, 630, 311, 14684, 1040, 17713, 517, 269, 2582, 2275, 15009, 531, 32250, 269, 971, 607, 14107, 269, 538, 513, 31181, 1062, 1848, 799, 568, 1287, 9268, 676, 5904, 547, 17429, 576, 519, 11460, 540, 8444, 1369, 519, 12627, 269, 570, 269, 3194, 2042, 602, 713, 4480, 666, 2232, 616, 281, 3040, 23305, 2090, 540, 26543, 2326, 3040, 10684, 1374, 676, 14453, 2872, 3040, 4437, 7631, 1968, 1436, 3040, 1715, 2890, 1602, 748, 2326, 1519, 28571, 1503, 2572, 269, 543, 519, 2702, 547, 2824, 27141, 19367, 269, 772, 269, 966, 690, 339, 269, 543, 590, 2529, 269, 1879, 519, 2604, 568, 5950, 543, 519, 1570, 11731, 269, 689, 19202, 2029, 547, 519, 4395, 4536, 540, 4915, 269, 14271, 577, 8527, 1258, 24658, 8752, 17796, 1547, 2627, 32250, 269, 519, 1535, 17530, 616, 16559, 630, 18528, 26167, 264, 883, 1360, 1808, 8846, 609, 1585, 9342, 269, 1635, 1620, 891, 524, 566, 4955, 5928, 543, 30337, 906, 896, 2604, 269, 898, 814, 1044, 5892, 3254, 602, 1978, 18410, 565, 2572, 666, 4228, 896, 2604, 543, 1491, 909, 811, 1216, 547, 1831, 2706, 5139, 3603, 269, 5123, 13289, 3040, 1763, 573, 783, 2566, 8990, 538, 2198, 670, 8582, 5990, 570, 20168, 296, 12702, 292, 20796, 16775, 281, 10434, 1535, 17530, 723, 20966, 13380, 547, 519, 3845, 1063, 8444, 269, 769, 968, 24154, 1375, 892, 32250, 269, 16070, 6571, 563, 303, 269, 4611, 538, 3665, 21052, 269, 513, 2706, 14551, 1202, 15975, 269, 5047, 11607, 298, 269, 1034, 2326, 616, 1500, 540, 26543, 9274, 269, 3587, 2565, 269, 631, 1263, 1848, 634, 9274, 666, 581, 14477, 20218, 538, 1614, 7516, 12462, 12690, 892, 9403, 1040, 1851, 519, 2571, 652, 540, 2326, 269, 16888, 4149, 11548, 269, 968, 289, 1180, 532, 2242, 538, 19316, 2706, 14551, 27948, 269, 634, 15393, 4137, 5833, 585, 15281, 31333, 1705, 711, 18613, 1346, 3812, 676, 1022, 540, 519, 1614, 1634, 18282, 610, 1022, 4999, 540, 873, 269, 543, 7293, 1344, 729, 5833, 1210, 1535, 11920, 32250, 269, 513, 12432, 575, 21488, 585, 513, 1164, 25774, 17102, 1040, 288, 269, 5489, 11232, 333, 1512, 269, 595, 269, 24504, 4137, 585, 513, 476, 2568, 5991, 332, 15281, 31333, 4670, 593, 13961, 263, 9826, 1040, 519, 23698, 1634, 1570, 269, 634, 3173, 538, 713, 1353, 1031, 513, 14776, 12845, 341, 559, 1591, 547, 3132, 12503, 5111, 476, 10204, 269, 23520, 4754, 269, 3079, 540, 9361, 6366, 593, 519, 14041, 269, 808, 269, 1822, 2053, 519, 5790, 693, 4262, 1377, 610, 3160, 547, 602, 811, 982, 476, 4968, 5195, 9944, 519, 3047, 781, 2627, 269, 808, 269, 543, 595, 269, 631, 11482, 269, 12920, 2917, 269, 476, 28883, 630, 1220, 274, 1040, 634, 4681, 4951, 602, 3368, 540, 519, 4617, 269, 1572, 513, 968, 335, 1961, 4137, 269, 2755, 27948, 568, 1500, 540, 29101, 3808, 3327, 8444, 269, 1452, 14776, 15178, 7554, 616, 2352, 547, 3035, 269, 3587, 607, 2182, 607, 14776, 269, 1621, 269, 2473, 11920, 32250, 729, 1031, 547, 5659, 519, 9403, 540, 513, 19695, 3623, 8336, 630, 301, 328, 31333, 264, 6094, 4670, 593, 513, 13339, 14041, 269, 1620, 543, 9013, 9403, 269, 3957, 968, 1314, 3999, 25404, 269, 918, 7776, 269, 31474, 269, 519, 27948, 2968, 865, 2182, 602, 621, 29618, 519, 14776, 606, 341, 559, 269, 968, 2304, 1055, 5991, 5436, 20249, 6438, 9403, 538, 6094, 8874, 593, 2582, 2275, 15009, 531, 26828, 11482, 1848, 4564, 519, 3892, 540, 519, 10286, 31223, 538, 519, 4670, 269, 1744, 340, 10422, 269, 1306, 519, 9910, 4405, 1436, 540, 13339, 2861, 3457, 5170, 269, 610, 28426, 11231, 543, 30528, 12462, 788, 527, 25404, 892, 9403, 1040, 27339, 12845, 341, 559, 1591, 1848, 7186, 476, 275, 2918, 269, 570, 619, 4752, 269, 799, 8060, 519, 3601, 540, 3623, 15969, 1848, 568, 2147, 547, 519, 6775, 630, 26792, 1229, 264, 9403, 269, 595, 269, 589, 269, 31474, 269, 769, 1249, 269, 634, 1007, 9403, 8160, 269, 543, 681, 269, 4922, 22274, 27948, 7554, 941, 7142, 6251, 1927, 269, 519, 27948, 538, 713, 4603, 26871, 1540, 1394, 547, 922, 3312, 2571, 1145, 2899, 519, 2604, 729, 6569, 269, 543, 2337, 721, 547, 1732, 1174, 519, 6323, 540, 6094, 4670, 2208, 543, 5123, 14759, 538, 6094, 8874, 269, 6419, 269, 853, 778, 269, 14776, 6438, 7554, 269, 8641, 924, 20450, 6145, 27339, 7201, 16242, 12824, 723, 4362, 602, 269, 4962, 281, 670, 19181, 2473, 268, 6938, 312, 667, 9281, 15709, 3722, 3582, 589, 3495, 582, 25404, 2443, 20570, 540, 513, 1715, 7956, 675, 538, 774, 514, 8606, 916, 2311, 519, 18784, 1377, 269, 519, 27948, 2968, 1904, 1227, 12001, 269, 543, 7344, 3601, 666, 581, 23699, 547, 3132, 1808, 4162, 269, 14291, 873, 547, 6793, 269, 674, 269, 634, 4611, 3239, 269, 667, 269, 634, 7271, 602, 3123, 519, 5250, 540, 713, 1007, 1826, 540, 9403, 568, 2189, 269, 634, 10570, 7554, 941, 2625, 539, 1210, 538, 601, 2880, 1535, 11920, 22502, 269, 654, 11607, 290, 269, 1247, 519, 1634, 3029, 540, 6923, 3812, 14776, 11677, 741, 21052, 269, 962, 269, 476, 5038, 272, 630, 1220, 274, 1040, 21541, 528, 269, 634, 1198, 540, 9403, 593, 519, 1570, 779, 5122, 269, 1142, 10286, 568, 21266, 1540, 20733, 693, 519, 1482, 5086, 269, 30225, 334, 773, 269, 26081, 345, 269, 1809, 269, 661, 269, 1715, 6807, 269, 670, 12282, 1848, 3163, 476, 23714, 269, 901, 3123, 513, 2027, 2078, 547, 1106, 1063, 519, 10066, 540, 519, 9274, 538, 519, 6094, 4670, 543, 519, 14041, 269, 570, 269, 772, 269, 27948, 269, 14271, 577, 8527, 1258, 24658, 8752, 17796, 476, 1321, 1547, 306, 269, 896, 3665, 2604, 269, 808, 269, 1454, 899, 14776, 269, 14477, 20218, 1369, 6366, 6106, 12462, 325, 9200, 892, 9403, 1040, 306, 269, 2067, 19987, 616, 1500, 538, 519, 3047, 676, 1390, 12503, 543, 7920, 3002, 936, 17027, 942, 10253, 269, 17664, 269, 19987, 616, 1500, 540, 17401, 3808, 3327, 8444, 269, 543, 519, 1259, 891, 9274, 3514, 1927, 568, 5219, 547, 607, 519, 1570, 779, 968, 3667, 675, 12282, 269, 1717, 269, 901 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4611, 538, 513, 3595, 799, 3576, 1200, 3946, 2476, 269, 9282, 1200, 9632, 11078, 267, 945, 729, 4974, 538, 1776, 2749, 267, 4951, 1200, 18515, 547, 1491, 1416, 540, 1200, 267, 1352, 729, 5462, 547, 581, 4625, 4830, 269, 2311, 1153, 267, 1352, 2141, 6594, 2182, 269, 4107, 540, 782, 1352, 4121, 547, 581, 1582, 17466, 269, 4495, 1352, 5206, 519, 1739, 538, 1200, 5888, 281, 968, 296, 993, 18822, 269, 9282, 594, 4503, 1250, 7916, 267, 594, 1869, 723, 7953, 282, 594, 993, 18822, 1848, 9282, 1250, 12209, 616, 7745, 267, 1250, 2295, 666, 1869, 8038, 1848, 2290, 1554, 267, 519, 7911, 543, 519, 8004, 941, 1312, 14376, 547, 2408, 593, 513, 8613, 5967, 1982, 269, 634, 7911, 5143, 519, 7641, 3984, 827, 1010, 7334, 2104, 693, 1373, 2451, 593, 1010, 1378, 267, 6466, 519, 8004, 729, 2407, 540, 15131, 585, 1200, 1272, 269, 1358, 1312, 941, 4280, 547, 2328, 1945, 593, 513, 4062, 540, 1957, 609, 741, 19462, 269, 634, 7911, 5206, 281, 3733, 7820, 7015, 779, 7916, 616, 1250, 7916, 282, 1247, 519, 8004, 5206, 281, 7935, 5287, 12209, 267, 10760, 2295, 269, 1358, 1185, 1312, 28815, 519, 1482, 3765, 325, 28232, 267, 855, 741, 1114, 8456, 5462, 519, 2470, 540, 741, 2729, 269, 898, 568, 3020, 602, 1272, 568, 20437, 269, 2598, 7539, 666, 10880, 693, 1022, 942, 563, 1692, 596, 6023, 3765, 325, 28232, 950, 21947, 609, 621, 2965, 568, 519, 3020, 1449, 540, 707, 1915, 269, 1403, 596, 3442, 1152, 547, 29153, 543, 9101, 689, 519, 3765, 325, 28232, 267, 621, 786, 2141, 1246, 596, 16382, 596, 979, 269, 1809, 952, 596, 6430, 547, 581, 2178, 267, 519, 27465, 786, 2490, 856, 547, 581, 19539, 593, 799, 1007, 13922, 786, 8451, 269, 476, 6321, 269, 769, 519, 1101, 5037, 267, 1018, 5949, 538, 519, 8009, 286, 589, 269, 634, 7911, 7012, 1406, 21354, 13676, 269, 645, 269, 634, 7911, 779, 4651, 23012, 1373, 10413, 269, 595, 269, 634, 7911, 779, 4651, 729, 7166, 269, 667, 269, 634, 7911, 779, 7820, 7015, 729, 5594, 20754, 269, 476, 6872, 269, 634, 8004, 15189, 1200, 9632, 11078, 779, 948, 267, 1317, 30269, 269, 589, 269, 1352, 729, 18822, 543, 1869, 1185, 1079, 7953, 645, 269, 1352, 4941, 547, 581, 1582, 17466, 2864, 982, 7048, 593, 1866, 595, 269, 1352, 4769, 1406, 1616, 547, 1847, 547, 1776, 2749, 667, 269, 1352, 10150, 2713, 5094, 689, 1866, 476, 6812, 269, 1879, 519, 8004, 5206, 519, 1913, 281, 7935, 5287, 12209, 267, 10760, 2295, 267, 1352, 2731, 5921, 30269, 269, 589, 269, 1498, 1352, 4503, 7916, 267, 1352, 1869, 1185, 7953, 645, 269, 1200, 9632, 11078, 779, 18515, 547, 1491, 1416, 540, 1200, 1223, 948, 1200, 8038, 609, 12209, 595, 269, 952, 835, 1185, 12209, 267, 1010, 610, 1200, 2295, 1223, 8038, 667, 269, 5185, 609, 519, 3765, 325, 28232, 267, 596, 1058, 581, 2178, 267, 543, 596, 3580, 1118, 621, 645, 10374, 2989, 7732, 25980, 585, 11354, 16505, 7732, 25980, 723, 1044, 27571, 547, 476, 278, 3108, 513, 1554, 5236, 376, 486, 280, 281, 876, 513, 6230, 23102, 476, 275, 281, 876, 533, 6230, 269, 24724, 585, 11354, 16505, 689, 4728, 476, 2190, 547, 4728, 476, 1789, 269, 28527, 15638, 7790, 7790, 2201, 11728, 267, 4728, 476, 2190, 267, 693, 476, 1015, 281, 1789, 513, 6230, 1421, 8845, 27659, 2023, 267, 513, 1453, 779, 5856, 267, 786, 2995, 2984, 547, 3214, 936, 5722, 269, 27659, 2023, 779, 10694, 2511, 786, 15983, 8300, 3025, 1459, 256, 2311, 476, 272, 281, 876, 533, 6230, 1421, 593, 4728, 476, 2918, 267, 519, 31869, 1326, 1144, 4053, 5974, 786, 1459, 606, 9721, 28477, 19270, 1068, 267, 799, 786, 581, 19278, 585, 519, 3003, 1920, 269, 22067, 585, 519, 2575, 543, 3251, 547, 2638, 856, 930, 4143, 2835, 585, 519, 1964, 540, 519, 3018, 256, 7790, 2201, 13628, 267, 4728, 476, 2767, 267, 693, 476, 273, 281, 876, 533, 6230, 1421, 519, 5993, 5753, 779, 20283, 532, 786, 1491, 1747, 538, 18740, 476, 1001, 267, 519, 2034, 22286, 3233, 269, 17292, 909, 606, 27592, 538, 519, 5753, 779, 18740, 543, 2132, 707, 19954, 29262, 547, 15395, 707, 10160, 693, 519, 3349, 676, 476, 274, 281, 876, 533, 6230, 269, 593, 13638, 267, 4728, 476, 1839, 269, 8307, 1453, 616, 4847, 538, 519, 20283, 532, 269, 7790, 2311, 476, 1015, 281, 1789, 513, 6230, 269, 593, 11016, 267, 4728, 476, 2764, 267, 2037, 15605, 3933, 325, 516, 540, 519, 5734, 4819, 779, 2257, 1397, 267, 13673, 313, 302, 1108, 267, 786, 3142, 26187, 2812, 14970, 256, 17610, 569, 2037, 15605, 786, 1491, 519, 5304, 1394, 538, 942, 267, 2620, 9944, 519, 2627, 540, 519, 3618, 267, 547, 10625, 519, 13655, 540, 20740, 17878, 267, 543, 811, 269, 2037, 15605, 5063, 7902, 593, 519, 31130, 1546, 294, 2940, 637, 8058, 2443, 2097, 543, 1294, 1864, 693, 519, 5399, 256, 7490, 4063, 16088, 1103, 2013, 540, 6595, 267, 5225, 1289, 519, 6435, 30325, 693, 476, 280, 2918, 268, 32699, 277, 543, 1246, 519, 5773, 13890, 593, 519, 5639, 5048, 269, 634, 1289, 16365, 3028, 568, 5234, 539, 476, 2190, 3108, 513, 1554, 267, 476, 278, 2395, 513, 3018, 585, 18002, 269, 634, 6435, 30325, 7727, 3028, 547, 596, 782, 519, 1032, 1472, 256, 1280, 2055, 827, 782, 891, 267, 5225, 3346, 18078, 17106, 11333, 3820, 269, 22067, 585, 519, 1390, 8342, 282, 13773, 585, 519, 4143, 7734, 256, 476, 6795, 269, 1677, 7390, 519, 5993, 5753, 779, 20283, 532, 267, 835, 814, 547, 30269, 563, 288, 269, 4444, 513, 19044, 595, 269, 1118, 513, 30063, 589, 269, 1397, 519, 1453, 1472, 513, 23291, 645, 269, 2995, 2984, 547, 1453, 936, 5722, 595, 269, 581, 1459, 693, 519, 2257, 1397, 538, 1268, 454, 289, 269, 4019, 538, 4434, 667, 269, 3346, 519, 1289, 16365, 3028, 454, 2568, 269, 4340, 547, 519, 8574, 267, 2037, 15605, 3933, 325, 516, 786, 30269, 563, 291, 269, 1291, 519, 1453, 547, 519, 31130, 1546, 17653, 572, 8058, 476, 8618, 269, 634, 6435, 30325, 538, 713, 5399, 7727, 3028, 30269, 269, 589, 269, 1152, 1282, 519, 24817, 645, 269, 538, 2013, 540, 6595, 595, 269, 11489, 519, 1439, 540, 519, 11354, 16505, 667, 269, 1310, 476, 2420, 281, 876, 533, 6230, 269, 1169, 1554, 476, 7830, 269, 1284, 666, 1451, 689, 519, 8574, 602, 1453, 30269, 269, 589, 269, 666, 7390, 782, 519, 2238, 609, 741, 3237, 645, 269, 723, 1569, 547, 930, 4143, 2835, 585, 519, 2238, 595, 269, 666, 7119, 538, 519, 2238, 689, 476, 279, 281, 876, 513, 6230, 269, 547, 476, 275, 281, 876, 533, 6230, 269, 667, 269, 949, 3442, 1152, 835, 540, 519, 2238, 2687, 547, 741, 1719, 595, 589, 10196, 7140, 856, 547, 581, 2111, 547, 1294, 519, 2104, 676, 5356, 1142, 540, 930, 2185, 4458, 29419, 513, 4062, 540, 17711, 543, 8384, 875, 646, 610, 1352, 9388, 609, 621, 269, 2368, 1453, 3914, 23362, 585, 519, 1521, 789, 1294, 269, 2368, 2063, 513, 1906, 3764, 1354, 789, 2285, 538, 269, 1809, 1866, 616, 5462, 547, 7227, 2394, 519, 2063, 4090, 269, 1635, 519, 942, 519, 1453, 3914, 1164, 1153, 267, 1945, 7415, 814, 5949, 269, 589, 5619, 1336, 602, 1346, 945, 607, 2185, 4458, 29419, 1185, 2614, 1582, 20820, 547, 3180, 856, 3622, 8057, 909, 547, 581, 811, 2442, 267, 27093, 267, 8746, 543, 4096, 762, 269, 634, 1453, 945, 5795, 538, 547, 31112, 263, 13644, 365, 418, 481, 495, 264, 22022, 941, 811, 2693, 547, 581, 24949, 267, 3362, 21616, 543, 1102, 2716, 1043, 263, 18713, 374, 13127, 362, 486, 26266, 365, 25335, 479, 7511, 1040, 24511, 267, 519, 2702, 547, 8488, 8007, 568, 513, 1129, 540, 3929, 4987, 799, 3085, 1406, 1397, 909, 593, 606, 21842, 1449, 269, 634, 8800, 540, 519, 2634, 543, 519, 3301, 540, 519, 2247, 723, 1279, 1044, 3744, 685, 4145, 269, 1809, 2634, 3069, 666, 1406, 2491, 1018, 649, 4898, 827, 1034, 267, 899, 519, 2243, 1946, 930, 1004, 2611, 909, 18566, 538, 519, 3068, 540, 13542, 602, 1131, 16173, 513, 1447, 11259, 9997, 269, 3371, 2501, 519, 3069, 540, 12253, 717, 1961, 2006, 267, 5856, 540, 16508, 11106, 281, 950, 621, 2501, 547, 17782, 1004, 779, 1967, 267, 2634, 2702, 607, 6027, 676, 21842, 949, 2965, 2339, 1447, 982, 519, 7907, 540, 2247, 2899, 2219, 540, 607, 968, 30726, 6100, 661, 304, 568, 711, 519, 6587, 540, 21842, 269, 1548, 3173, 723, 1044, 3843, 547, 1174, 568, 875, 789, 960, 1927, 282, 875, 835, 779, 2702, 547, 6023, 2566, 267, 585, 3236, 267, 5540, 519, 2702, 547, 13404, 543, 2322, 4987, 547, 946, 269, 7324, 519, 2609, 585, 1967, 267, 3173, 1631, 3622, 3858, 602, 21842, 12523, 585, 827, 476, 736, 260, 282, 519, 1964, 5673, 593, 3388, 689, 1514, 1362, 547, 9939, 269, 2755, 1082, 3173, 538, 713, 5266, 1007, 2361, 616, 19914, 547, 1294, 3929, 2152, 6368, 3144, 12517, 267, 930, 1906, 4250, 661, 304, 20217, 21568, 269, 476, 8287, 269, 634, 4603, 609, 519, 2185, 4458, 29419, 2306, 621, 2312, 602, 30269, 563, 288, 269, 519, 2085, 540, 476, 275, 568, 513, 1697, 942, 585, 3621, 4603, 645, 269, 3929, 4987, 4465, 1406, 1397, 909, 2394, 18273, 595, 269, 519, 2702, 540, 1582, 20820, 4249, 513, 1909, 538, 2123, 1967, 667, 269, 17711, 666, 581, 1031, 547, 2268, 513, 1268, 779, 3929, 4987, 476, 5038, 269, 6904, 540, 519, 1739, 568, 6936, 540, 661, 304, 543, 21842, 2687, 547, 519, 1257, 286, 589, 269, 1703, 568, 1100, 3095, 1063, 661, 304, 543, 21842, 269, 645, 269, 634, 2362, 513, 1268, 779, 21842, 568, 267, 519, 2362, 1010, 610, 1200, 661, 304, 568, 269, 595, 269, 2368, 1004, 666, 581, 25552, 609, 6266, 540, 1312, 267, 855, 930, 609, 2370, 540, 2901, 269, 667, 269, 12207, 616, 3843, 547, 3605, 519, 1259, 538, 799, 661, 304, 543, 21842, 960, 1927, 269, 476, 4792, 269, 634, 896, 20040, 2262, 968, 1575, 18566, 892, 538, 24225, 476, 275, 4440, 1797, 30269, 269, 589, 269, 2186, 645, 269, 13735, 595, 269, 9599, 667, 269, 23904, 476, 5780, 269, 1548, 568, 1034, 2693, 547, 581, 2854, 538, 519, 5037, 602, 5205, 286, 589, 269, 6176, 827, 4583, 1004, 609, 1164, 661, 304, 269, 645, 269, 6201, 6029, 519, 6587, 5639, 827, 661, 304, 269, 595, 269, 2368, 4128, 1946, 661, 304, 568, 513, 5266, 1007, 2361, 269, 667, 269, 16200, 3747, 585, 2596, 3929, 2069, 269, 667, 7812, 808, 269, 968, 290, 10635, 617, 850, 667, 1495, 2465, 892, 630, 10193, 1572, 631, 1157, 1070, 5129, 676, 6754, 670, 25830, 267, 568, 519, 1292, 1915, 538, 519, 14070, 595, 10635, 617, 850, 667, 1495, 2465, 4670, 3126, 9967, 540, 595, 10635, 617, 850, 667, 1495, 2465, 267, 595, 10635, 617, 850, 667, 1495, 2465, 4083, 267, 543, 595, 10635, 617, 850, 667, 1495, 2465, 538, 11968, 13353, 269, 634, 1915, 568, 513, 25438, 850, 25433, 267, 8754, 519, 28215, 269, 769, 519, 1101, 4670, 267, 595, 10635, 617, 850, 667, 1495, 2465, 267, 631, 1157, 568, 10272, 676, 513, 1715, 3840, 27680, 267, 590, 826, 4077, 331, 2023, 267, 945, 12599, 547, 5245, 547, 8495, 513, 1867, 1352, 4862, 540, 513, 25438, 850, 25433, 267, 945, 1185, 1010, 1850, 3787, 1084, 1055, 676, 513, 25438, 850, 538, 519, 856, 3724, 269, 634, 25433, 27581, 15336, 811, 982, 513, 4627, 5195, 1394, 547, 10340, 543, 14393, 1529, 3585, 15068, 1010, 7063, 269, 1717, 267, 676, 519, 942, 1352, 10742, 1864, 267, 519, 1650, 7140, 856, 547, 581, 513, 10169, 27105, 10828, 1141, 519, 968, 4226, 1084, 11325, 1850, 892, 7140, 856, 547, 581, 1175, 1373, 930, 3983, 1085, 18732, 593, 1010, 1850, 282, 513, 968, 331, 913, 11116, 892, 607, 631, 1157, 7125, 621, 269, 12846, 5461, 676, 519, 2856, 540, 968, 290, 10635, 617, 850, 667, 1495, 2465, 5608, 590, 826, 5170, 609, 519, 1650, 269, 1358, 2951, 1927, 856, 547, 1141, 519, 10071, 7018, 267, 543, 1246, 1010, 8905, 998, 519, 17382, 547, 519, 14282, 6413, 269, 6736, 1010, 2025, 1922, 5831, 539, 5784, 267, 519, 6292, 5555, 1831, 2673, 267, 2523, 1310, 631, 1157, 17990, 590, 826, 689, 513, 25438, 850, 4323, 269, 28214, 972, 568, 1869, 811, 547, 519, 1650, 267, 590, 826, 20217, 631, 1157, 1394, 547, 1715, 3840, 609, 1200, 267, 607, 1010, 1101, 7552, 547, 513, 2749, 630, 528, 968, 14140, 7552, 9170, 2223, 607, 667, 1495, 2465, 3081, 1040 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7799, 1080, 543, 606, 4985, 547, 20145, 269, 4985, 547, 7799, 1080, 269, 570, 1815, 333, 2294, 585, 28518, 7799, 1080, 269, 1855, 19358, 550, 7412, 9046, 269, 7799, 1080, 693, 5606, 8181, 543, 7799, 1080, 540, 14938, 1878, 269, 276, 1855, 9351, 9046, 29120, 10241, 692, 2162, 476, 272, 269, 277, 269, 8890, 572, 8838, 3065, 11730, 543, 17183, 9351, 269, 26228, 11730, 585, 513, 9717, 17183, 9351, 269, 7151, 476, 272, 269, 8827, 692, 272, 269, 277, 8890, 572, 8838, 3065, 11730, 543, 17183, 9351, 6480, 11582, 543, 522, 614, 13016, 1558, 16104, 540, 17306, 3800, 7319, 607, 2627, 1858, 543, 4320, 1419, 1291, 547, 10257, 3435, 7319, 607, 751, 1374, 540, 751, 17895, 538, 512, 529, 692, 2162, 19105, 543, 2382, 656, 10389, 26162, 540, 7827, 281, 634, 14216, 29719, 692, 280, 269, 274, 476, 2071, 543, 2382, 656, 10389, 26162, 540, 595, 1052, 281, 1855, 14216, 29719, 476, 2568, 280, 28267, 297, 4488, 30888, 2464, 476, 280, 269, 274, 1677, 5581, 543, 1265, 3328, 3928, 540, 666, 613, 1677, 5581, 751, 12045, 607, 513, 2557, 540, 666, 613, 1677, 946, 751, 4214, 540, 12045, 547, 692, 2162, 27018, 20145, 281, 7756, 2747, 630, 5575, 14362, 267, 16390, 264, 543, 4787, 564, 4221, 28977, 630, 22706, 476, 1321, 2020, 15411, 1805, 1314, 4211, 301, 311, 544, 537, 548, 281, 544, 4375, 274, 1724, 476, 272, 27018, 20145, 281, 7756, 2747, 630, 5575, 14362, 267, 16390, 264, 606, 4787, 564, 1424, 3400, 1186, 630, 24836, 324, 476, 1321, 264, 5131, 11612, 2480, 944, 3163, 31157, 5741, 570, 529, 960, 568, 533, 709, 576, 676, 7046, 1805, 1314, 4211, 301, 311, 606, 12689, 692, 2162, 476, 272, 14216, 643, 2510, 540, 623, 19991, 3772, 4347, 1441, 12793, 692, 21316, 295, 476, 6200, 271, 292, 2160, 631, 622, 3901, 923, 17976, 11872, 630, 15553, 476, 275, 264, 9410, 9149, 476, 272, 14216, 643, 2510, 540, 623, 19991, 3772, 16294, 12793, 1280, 4062, 3772, 552, 325, 710, 3252, 267, 649, 1419, 513, 557, 547, 581, 1360, 6297, 538, 7384, 751, 2144, 643, 2510, 780, 2162, 8791, 476, 274, 269, 274, 269, 7756, 2747, 540, 27155, 338, 543, 21929, 12793, 269, 16338, 12307, 547, 27018, 12307, 692, 11795, 2397, 12307, 547, 27018, 12307, 8791, 476, 274, 269, 274, 7756, 2747, 540, 27155, 338, 606, 21929, 12793, 769, 512, 529, 3296, 649, 2253, 751, 4305, 540, 568, 16225, 532, 3652, 585, 476, 27075, 11868, 1585, 5049, 540, 692, 2162, 535, 3287, 1341, 554, 264, 535, 3287, 264, 554, 607, 8204, 519, 9386, 540, 513, 3813, 656, 1899, 269, 1306, 554, 4422, 547, 476, 271, 267, 519, 9386, 540, 519, 3813, 656, 1899, 4485, 519, 9386, 540, 519, 17242, 1899, 780, 32056, 29719, 540, 535, 18750, 264, 3220, 269, 661, 269, 10496, 10849, 1855, 2144, 29719, 540, 513, 1599, 568, 552, 325, 710, 607, 513, 3970, 281, 535, 630, 343, 264, 476, 271, 535, 3287, 1341, 3738, 535, 3287, 264, 1284, 666, 14650, 751, 4082, 535, 3287, 266, 264, 535, 3287, 264, 607, 8204, 751, 9386, 540, 513, 3813, 656, 1899, 269, 1306, 4422, 547, 476, 271, 10484, 2162, 634, 14216, 29719, 607, 513, 9577, 692, 4089, 476, 273, 269, 273, 1855, 14216, 29719, 607, 513, 9577, 476, 1220, 17340, 2643, 570, 3974, 322, 17249, 1855, 14216, 29719, 607, 513, 9577, 667, 9128, 2562, 296, 3582, 281, 1855, 12045, 540, 513, 1599, 535, 693, 513, 1297, 513, 267, 20922, 676, 535, 630, 320, 1070, 568, 952, 512, 529, 3970, 6818, 269, 535, 630, 320, 264, 535, 5416, 266, 264, 535, 5416, 2020, 2162, 32516, 476, 279, 281, 667, 9281, 29052, 28718, 3201, 595, 3201, 290, 8085, 4785, 692, 6224, 22790, 476, 279, 281, 667, 9281, 29052, 28718, 3201, 595, 3201, 290, 8085, 4785, 476, 272, 269, 16390, 540, 7756, 2747, 1306, 649, 513, 557, 2938, 267, 12719, 2144, 643, 2510, 689, 1101, 3741, 666, 581, 4074, 1190, 606, 476, 858, 2159, 1256, 585, 930, 5266, 2241, 3252, 269, 898, 568, 5693, 692, 2162, 20389, 13595, 4569, 5426, 476, 272, 12700, 1299, 4813, 10358, 692, 301, 13246, 267, 14938, 1878, 267, 11790, 6715, 619, 281, 24222, 910, 274, 267, 910, 273, 267, 910, 272, 267, 476, 271, 267, 476, 272, 267, 476, 273, 267, 476, 274, 28011, 1234, 1023, 281, 9981, 7132, 8454, 267, 17447, 267, 543, 3352, 1674, 1023, 630, 476, 273, 267, 476, 274, 267, 12631, 267, 3092, 4700, 11352, 2986, 15051, 281, 589, 761, 8714, 14938, 1878, 281, 623, 4932, 291, 3008, 630, 21122, 525, 525, 692, 2162, 1715, 18500, 4320, 692, 268, 269, 4643, 20505, 1677, 1265, 751, 4320, 540, 513, 24388, 1677, 1265, 751, 4320, 540, 513, 12718, 6201, 15531, 11730, 540, 513, 25351, 9771, 2398, 1143, 15531, 11730, 540, 513, 10222, 9771, 2398, 1143, 476, 274, 15531, 11730, 540, 513, 595, 2643, 5407, 15531, 692, 2162, 32516, 476, 278, 269, 4144, 552, 1370, 2747, 692, 6224, 22790, 476, 278, 4144, 552, 1370, 2747, 476, 272, 269, 1855, 14216, 29719, 693, 513, 8672, 9502, 476, 278, 269, 272, 269, 2913, 535, 581, 513, 1599, 3989, 593, 513, 683, 580, 4011, 797, 540, 1535, 476, 271, 269, 535, 568, 1019, 552, 1370, 4192, 693, 1535, 476, 271, 267, 952, 751, 1739, 621, 6818, 281, 535, 476, 271, 535, 343, 476, 271, 1341, 3738, 535, 343, 476, 271, 3738, 1535, 476, 271, 3738, 284, 780, 2162, 20554, 4569, 12700, 1299, 4813, 10358, 692, 301, 13246, 267, 14938, 1878, 267, 11790, 6715, 619, 281, 24222, 910, 274, 267, 910, 273, 267, 910, 272, 267, 476, 271, 267, 476, 272, 267, 476, 273, 267, 476, 274, 28011, 681, 566, 1023, 281, 8454, 267, 512, 520, 568, 267, 1022, 1154, 2769, 762, 607, 513, 5223, 540, 9981, 1234, 1023, 281, 9981, 7132, 32311, 1023, 7132, 2027, 2338, 7319, 607, 692, 2162, 7638, 4328, 31592, 20593, 10885, 26162, 692, 272, 11352, 540, 6111, 7638, 4328, 31592, 20593, 10885, 26162, 1284, 2015, 513, 10230, 19406, 540, 606, 3169, 1871, 579, 269, 1855, 19406, 5673, 593, 513, 1507, 9936, 267, 7319, 607, 751, 7470, 2450, 610, 942, 1900, 267, 543, 692, 2162, 5381, 12496, 666, 581, 1500, 585, 2698, 8907, 543, 2698, 7443, 3252, 780, 13052, 2207, 290, 30990, 476, 274, 268, 278, 570, 902, 547, 3314, 281, 476, 272, 269, 27107, 294, 2562, 3201, 2910, 4306, 267, 11555, 309, 2894, 16604, 267, 6730, 11550, 293, 3951, 1403, 568, 751, 1297, 540, 4559, 540, 513, 1587, 3812, 538, 930, 942, 8884, 267, 4557, 281, 11192, 8779, 595, 3890, 12540, 1400, 8779, 595, 262, 3890, 11192, 28521, 681, 3890, 12540, 1400, 692, 2162, 634, 20592, 540, 1870, 3652, 585, 21686, 4580, 8989, 1210, 8994, 1344, 692, 279, 512, 2622, 22558, 3722, 306, 1315, 26827, 306, 8379, 6837, 267, 595, 1515, 985, 267, 5245, 476, 274, 268, 278, 5147, 476, 1220, 280, 512, 339, 335, 2517, 916, 338, 11961, 3820, 28898, 270, 7116, 13678, 6021, 1855, 20592, 540, 1870, 3652, 585, 546, 553, 4580, 8989, 1210, 8994, 1344, 27068, 2836, 6975, 16710, 267, 6513, 10484, 2162, 13878, 30388, 11123, 22957, 667, 9281, 29052, 28718, 9569, 570, 7473, 3036, 24361, 476, 272, 910, 32577, 2975, 667, 9281, 29052, 28718, 9569, 692, 21316, 30388, 11123, 22957, 667, 9281, 29052, 28718, 9569, 570, 7473, 3036, 24361, 476, 272, 910, 32577, 2975, 667, 9281, 29052, 28718, 9569, 570, 529, 5850, 568, 1898, 840, 3146, 638, 15363, 1570, 585, 4896, 588, 5224, 803, 4754, 673, 4702, 269, 570, 529, 5850, 3096, 751, 6240, 540, 692, 2162, 30770, 519, 12045, 676, 4214, 281, 634, 2185, 1900, 5650, 692, 15253, 1393, 751, 12045, 676, 4214, 281, 1855, 2185, 1900, 5650, 9717, 513, 1599, 535, 3287, 1070, 751, 4214, 540, 535, 630, 343, 1070, 751, 12045, 540, 535, 3287, 1070, 568, 1929, 476, 271, 535, 3287, 1341, 3738, 535, 3287, 1070, 3177, 751, 3970, 6818, 1855, 12045, 1599, 692, 2162, 17183, 19791, 540, 2398, 3359, 543, 595, 2643, 785, 619, 692, 1321, 269, 273, 570, 13052, 3008, 661, 7704, 28718, 3201, 918, 301, 8582, 29612, 12283, 6730, 27699, 6579, 11862, 717, 269, 1015, 11065, 717, 269, 1556, 5861, 17183, 19791, 540, 2398, 3359, 543, 595, 2643, 785, 619, 12708, 7726, 1215, 666, 596, 1265, 751, 2627, 1858, 540, 513, 24388, 610, 513, 12718, 286, 31962, 512, 520, 751, 2627, 1858, 540, 692, 2162, 5675, 9119, 14430, 692, 16240, 631, 622, 3901, 923, 14430, 570, 529, 1557, 568, 5497, 547, 1714, 335, 707, 9972, 10554, 1957, 269, 898, 568, 513, 930, 342, 520, 4230, 1176, 3812, 31498, 600, 540, 5796, 594, 513, 557, 2016, 547, 1053, 538, 1250, 19113, 12336, 630, 12385, 476, 275, 543, 4223, 476, 280, 1070, 865, 621, 521, 711, 692, 2162, 674, 2562, 25492, 667, 9281, 29052, 9970, 631, 24518, 7495, 306, 692, 293, 2562, 25492, 667, 9281, 29052, 9970, 631, 24518, 7495, 306, 700, 32670, 8863, 2894, 1855, 1655, 1634, 1558, 16104, 267, 13113, 3017, 267, 5161, 540, 13868, 552, 659, 12045, 676, 513, 3017, 23479, 538, 751, 5929, 19862, 269, 898, 568, 2241, 547, 3009, 543, 2804, 547, 692, 2162, 631, 263, 271, 264, 815, 476, 272, 631, 263, 272, 264, 815, 476, 273, 631, 22607, 264, 815, 631, 22607, 476, 272, 264, 1341, 631, 22607, 476, 273, 264, 1341, 476, 272, 630, 327, 3436, 476, 272, 2020, 11900, 1068, 542, 543, 1546, 2280, 542, 538, 966, 299, 19029, 4427, 4784, 538, 3487, 658, 674, 5285, 650, 618, 540, 751, 21976, 585, 3220, 269, 18238, 17833, 1729, 325, 523, 521, 476, 26116, 2641, 281, 562, 4519, 540, 561, 326, 528, 527, 916, 676, 7917, 5062, 5141, 657, 4486, 5412, 476, 1691, 267, 476, 2735, 275, 476, 272, 1035, 330, 3033, 524, 322, 1800, 547, 12928, 583, 692, 2162, 769, 824, 1913, 519, 3113, 540, 519, 9971, 1058, 1780, 998, 519, 2798, 692, 290, 1986, 476, 274, 3955, 335, 15684, 3955, 335, 15684, 568, 751, 1966, 540, 17501, 513, 1159, 2393, 7455, 5538, 326, 513, 2016, 1305, 540, 2798, 267, 3622, 607, 751, 1178, 335, 540, 513, 1599, 269, 898, 568, 3730, 693, 2547, 538, 1239, 2079, 630, 5793, 335, 15684, 568, 513, 1106, 692, 2162, 5685, 924, 11730, 2598, 4038, 1436, 540, 519, 14333, 17817, 692, 299, 15145, 11872, 476, 274, 5685, 924, 11730, 2598, 4038, 1436, 540, 751, 14333, 17817, 1284, 2015, 13113, 4320, 771, 4038, 3074, 540, 751, 835, 8820, 4756, 11664, 3548, 3830, 267, 18854, 3026, 30977, 10465, 2175, 579, 512, 1535, 692, 2162, 2052, 513, 700, 2794, 4149, 636, 18734, 5269, 15526, 17949, 519, 717, 1622, 269, 689, 5131, 11780, 2496, 4692, 513, 700, 2794, 4149, 636, 18734, 5269, 15526, 17949, 751, 717, 1622, 689, 5131, 11780, 286, 962, 553, 4157, 1794, 340, 594, 322, 3626, 4972, 540, 13188, 267, 23951, 534, 2160, 4873, 476, 1789, 267, 476, 1001, 271, 17593, 594, 4983, 26686, 1606, 636, 4483, 3652, 547, 23799, 25572, 751, 692, 2162, 634, 661, 302, 304, 22802, 16754, 692, 5938, 661, 302, 304, 22802, 16754, 6276, 631, 269, 595, 1173, 531, 631, 622, 3901, 923, 4972, 31684, 2160, 27293, 28941, 589, 2596, 1966, 585, 4213, 543, 9755, 568, 267, 530, 523, 19280, 7727, 267, 547, 3313, 5349, 7274, 540, 692, 2162, 476, 275, 269, 272, 9406, 268, 22931, 10222, 9201, 476, 273, 269, 476, 275, 269, 273, 26344, 6248, 12793, 476, 866, 269, 476, 275, 269, 274, 26344, 6248, 5772, 885, 476, 3607, 269, 476, 275, 269, 275, 10241, 540, 26344, 5852, 547, 10222, 9201, 476, 7871, 692, 2632, 757, 476, 275, 26344, 5852, 476, 275, 269, 272, 15519, 339, 268, 22931, 10222, 9201, 476, 275, 269, 26344, 6248, 12793, 476, 866, 476, 275, 269, 274, 26344, 6248, 5772, 885, 476, 3607, 476, 275, 269, 275, 533, 4124, 540, 26344, 5852, 547, 10222, 9201, 476, 7871, 476, 275, 269, 276, 533, 4124, 540, 26344, 5852, 547, 31515, 476, 4792, 692, 2162, 1323, 14374, 883, 519, 12750, 1512, 1184, 538, 4959, 6441, 300, 2203, 692, 2304, 14374, 883, 751, 12750, 1512, 1184, 538, 4959, 6441, 300, 2203, 4201, 528, 281, 9149, 1990, 597, 534, 17372, 281, 9149, 1990, 597, 534, 267, 18740, 476, 30156, 267, 8490, 476, 4343, 258, 267, 3212, 532, 2160, 267, 19864, 476, 876, 269, 9262, 267, 11266, 290, 269, 623, 821, 281, 630, 10436, 264, 476, 876, 268, 277, 2767, 30697, 10619, 5769, 17372, 281, 14247, 742, 3205, 287, 4248, 4877, 340, 12975, 6983, 333, 692, 2162, 10566, 1001, 29329, 5839, 19172, 21643, 269, 10566, 1001, 29329, 5839, 19172, 21643, 9046, 1305 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 1306, 5984, 7935, 1091, 5652, 3947, 5813, 883, 4638, 2152, 543, 4145, 609, 18884, 269, 3245, 7063, 267, 2022, 32034, 2566, 4524, 630, 303, 15056, 264, 610, 4108, 4638, 8194, 630, 300, 4306, 1070, 7935, 1091, 5652, 6941, 875, 891, 2833, 666, 1711, 782, 5686, 540, 29298, 538, 519, 1272, 540, 513, 25982, 543, 875, 891, 666, 1860, 4638, 1599, 543, 25055, 609, 513, 7649, 563, 1432, 616, 519, 5686, 540, 4638, 4145, 602, 616, 11342, 1851, 18884, 888, 303, 15056, 568, 1869, 519, 1034, 1455, 3390, 1851, 18884, 267, 607, 1134, 607, 17971, 1813, 547, 631, 4306, 269, 4340, 547, 7935, 1091, 5652, 267, 18884, 538, 8396, 945, 2097, 1394, 9308, 2898, 4163, 1390, 5626, 543, 3929, 29854, 269, 1717, 267, 519, 6051, 543, 14317, 1184, 585, 873, 616, 5059, 593, 2596, 1797, 543, 14920, 568, 1419, 20495, 563, 1432, 616, 930, 540, 519, 3268, 1472, 17971, 543, 631, 4306, 286, 1772, 713, 1945, 602, 519, 4108, 568, 2921, 593, 888, 2467, 616, 2789, 11044, 585, 631, 4306, 585, 18884, 269, 1452, 11044, 1577, 873, 917, 602, 972, 568, 1489, 856, 972, 543, 602, 3527, 616, 1373, 3010, 13914, 540, 513, 2140, 585, 513, 14392, 2376, 1369, 519, 6389, 540, 834, 11328, 23400, 28298, 540, 23247, 257, 607, 851, 540, 834, 25787, 1315, 5369, 31752, 1315, 5403, 6874, 571, 9964, 13262, 13081, 630, 303, 15056, 17983, 602, 1223, 581, 1644, 547, 519, 1349, 1657, 269, 3973, 2328, 476, 513, 1279, 543, 1360, 2143, 5850, 827, 519, 2140, 596, 8359, 267, 538, 519, 2511, 540, 15825, 269, 634, 1543, 1058, 723, 519, 1739, 3898, 281, 7170, 23901, 12133, 25776, 21234, 285, 1007, 1899, 2999, 12133, 25996, 25606, 20101, 1684, 711, 1039, 1022, 3063, 1257, 7713, 1946, 596, 8359, 519, 2140, 563, 2521, 547, 1384, 268, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 563, 268, 3550, 9355, 543, 16566, 538, 519, 15825, 5850, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 563, 268, 7994, 513, 13598, 2140, 602, 3085, 1405, 1445, 593, 13061, 1344, 538, 519, 1357, 1349, 269, 0, 3848, 476, 279, 281, 24531, 1715, 20122, 9812, 543, 10435, 5384, 585, 8342, 692, 5970, 596, 2479, 6836, 5986, 513, 1007, 11600, 610, 2870, 513, 4062, 540, 1148, 286, 1452, 2238, 616, 1572, 12348, 910, 1919, 649, 2972, 3257, 538, 938, 1863, 942, 1175, 585, 1187, 256, 20122, 9812, 1450, 721, 547, 2769, 6000, 267, 1451, 1945, 1007, 267, 543, 6001, 1310, 513, 1279, 1554, 693, 1153, 269, 4653, 267, 1577, 781, 2263, 1114, 2010, 540, 12348, 543, 2081, 547, 3514, 873, 883, 938, 11112, 16131, 780, 4089, 476, 272, 281, 1548, 3657, 20122, 9812, 543, 4208, 9701, 1284, 5620, 23067, 2496, 288, 15908, 568, 1022, 2534, 602, 6770, 596, 7772, 543, 2337, 1491, 707, 2247, 1055, 4948, 17613, 269, 2368, 1004, 899, 5026, 267, 971, 607, 14912, 610, 10977, 267, 1247, 1866, 4782, 3860, 18697, 267, 899, 5373, 610, 4730, 513, 7574, 6293, 269, 1703, 616, 9118, 12348, 547, 2119, 282, 782, 596, 991, 547, 798, 568, 3605, 799, 3283, 1719, 596, 1034, 2439, 3963, 21898, 2348, 12348, 286, 4270, 267, 972, 616, 1082, 2640, 256, 12056, 538, 12348, 2636, 721, 547, 1384, 265, 3763, 1007, 1983, 543, 15421, 454, 265, 12706, 6015, 454, 265, 4045, 609, 2828, 945, 2671, 2147, 4690, 454, 265, 13724, 2790, 1072, 676, 4227, 4160, 543, 4965, 454, 265, 18124, 5876, 543, 23141, 692, 4131, 781, 2743, 1079, 19946, 3957, 21877, 543, 661, 3149, 773, 269, 5637, 2648, 3843, 1007, 12348, 543, 786, 2671, 930, 540, 741, 29202, 609, 721, 2429, 713, 3184, 780, 4089, 476, 273, 281, 10289, 7756, 9537, 540, 20122, 9812, 692, 2467, 616, 865, 1082, 4241, 12348, 547, 3442, 689, 256, 2913, 781, 1413, 693, 513, 1906, 6688, 1384, 272, 269, 11300, 8551, 281, 901, 7121, 2882, 3308, 6575, 630, 9526, 532, 267, 7206, 1070, 7900, 6575, 630, 323, 3496, 267, 9117, 1070, 2575, 630, 338, 15781, 267, 4730, 7405, 1070, 543, 13492, 630, 329, 1168, 601, 787, 1818, 267, 26095, 6393, 7078, 281, 21877, 21593, 1818, 1200, 1378, 14446, 1210, 10477, 19273, 543, 12904, 269, 2701, 9060, 621, 21363, 543, 14560, 9849, 1200, 13144, 547, 1153, 2439, 273, 269, 11846, 543, 24524, 281, 11242, 899, 4881, 267, 31610, 267, 10649, 267, 13558, 267, 610, 19831, 6575, 948, 1832, 938, 4703, 2635, 543, 2178, 1247, 3246, 3255, 585, 1514, 5872, 780, 7078, 281, 1879, 1352, 729, 7820, 267, 661, 3149, 773, 6068, 14964, 9640, 8013, 569, 269, 27009, 267, 1352, 1869, 26055, 585, 3635, 543, 11005, 780, 274, 269, 25827, 623, 2720, 7057, 281, 7335, 2835, 267, 6061, 13410, 267, 1565, 4654, 267, 610, 4974, 1686, 666, 12954, 938, 8186, 543, 4228, 938, 1620, 540, 519, 1158, 1472, 721, 780, 7078, 281, 21877, 5063, 13984, 513, 2199, 3834, 16915, 1397, 543, 2968, 19832, 676, 519, 1379, 540, 19583, 269, 4595, 1287, 267, 1352, 814, 1044, 8026, 2241, 2553, 543, 1256, 3096, 873, 547, 948, 9887, 2887, 18069, 5488, 2439, 275, 269, 11814, 532, 281, 3509, 1004, 2445, 3688, 1759, 593, 2123, 7375, 267, 971, 607, 22827, 267, 11113, 267, 9162, 267, 610, 1884, 2294, 269, 898, 781, 513, 1390, 1259, 547, 5660, 3140, 4644, 543, 5898, 780, 7078, 281, 661, 3149, 773, 740, 2803, 4376, 21305, 543, 814, 3833, 519, 4015, 540, 27164, 10051, 2264, 269, 4173, 5172, 4773, 1419, 8300, 4798, 585, 1200, 1753, 26955, 14585, 3785, 2439, 4089, 476, 274, 281, 19737, 2659, 5384, 585, 20122, 9812, 692, 3086, 602, 649, 917, 827, 1585, 12348, 267, 875, 666, 649, 25837, 873, 883, 938, 2907, 14095, 16131, 286, 8347, 891, 4388, 1384, 272, 269, 16505, 1524, 707, 6074, 15908, 883, 4130, 4247, 269, 1280, 1383, 267, 952, 596, 2811, 5461, 538, 7206, 855, 1745, 16397, 267, 1376, 676, 11516, 4221, 2596, 5546, 610, 2519, 593, 835, 851, 540, 513, 4605, 693, 513, 942, 780, 273, 269, 28799, 707, 15908, 609, 1776, 2534, 269, 19415, 547, 24384, 984, 23697, 1247, 5373, 267, 610, 2259, 30927, 1282, 8613, 2982, 780, 274, 269, 5590, 11735, 6131, 942, 585, 707, 15908, 269, 6164, 621, 899, 606, 13393, 543, 6529, 547, 621, 256, 4634, 19939, 3764, 829, 1554, 8591, 909, 936, 942, 780, 275, 269, 6733, 585, 3255, 1369, 707, 4540, 6296, 269, 9320, 596, 1223, 3802, 707, 2915, 811, 1419, 610, 5372, 5496, 942, 609, 513, 3860, 1788, 780, 276, 269, 16418, 1489, 689, 1920, 2818, 610, 2828, 269, 9523, 707, 3853, 543, 5000, 1142, 824, 547, 3251, 8149, 780, 277, 269, 5457, 602, 19870, 3884, 1405, 2838, 269, 22737, 9073, 607, 1565, 2833, 543, 1445, 593, 11981, 3054, 2864, 982, 8236, 17117, 1318, 2476, 780, 278, 269, 5994, 707, 2104, 1582, 10283, 538, 707, 15908, 5781, 269, 2037, 9679, 532, 1967, 666, 18663, 596, 547, 4225, 621, 1631, 780, 1103, 3932, 267, 12348, 1404, 513, 1713, 1909, 538, 23429, 938, 2729, 676, 5807, 2208, 267, 2679, 4296, 267, 543, 5009, 8171, 269, 1924, 1946, 7227, 286, 667, 633, 883, 513, 1007, 15908, 2221, 543, 28231, 922, 3875, 12587, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21893, 3018, 267, 649, 616, 6158, 827, 12348, 543, 875, 789, 723, 4547, 7772, 883, 938, 2729, 269, 9578, 267, 649, 616, 849, 4687, 875, 1118, 942, 585, 873, 609, 3388, 3116, 2469, 593, 538, 938, 2729, 563, 2791, 666, 1265, 519, 15264, 9708, 21287, 1934, 563, 4517, 267, 952, 596, 2461, 3168, 585, 513, 1808, 3009, 596, 4862, 593, 519, 15264, 267, 596, 666, 1294, 513, 2407, 1592, 593, 713, 2985, 2336, 295, 984, 9812, 543, 4208, 1358, 20780, 1411, 20717, 912, 10387, 2742, 1107, 18181, 267, 14446, 1818, 267, 7206, 267, 543, 22927, 563, 292, 3149, 773, 1107, 27006, 267, 11256, 267, 7718, 908, 267, 10655, 21305, 267, 543, 2542, 563, 1692, 1411, 4855, 5384, 585, 2659, 20122, 9812, 912, 268, 16505, 707, 15908, 883, 1507, 3268, 454, 268, 4855, 513, 15908, 596, 666, 798, 1247, 8384, 7641, 454, 268, 23423, 707, 3458, 550, 830, 543, 798, 707, 15908, 3079, 454, 268, 21480, 621, 538, 454, 268, 4518, 621, 883, 707, 2816, 454, 268, 28161, 513, 3318, 3818, 2389, 2532, 518, 454, 268, 10439, 1125, 1018, 596, 1616, 707, 2104, 1582, 547, 581, 3257, 454, 13425, 856, 938, 5816, 2022, 827, 476, 1428, 27207, 1411, 2052, 1684, 2755, 654, 10248, 7641, 454, 2080, 568, 519, 3095, 585, 519, 3834, 2254, 626, 602, 21877, 4718, 563, 309, 18757, 16942, 7726, 281, 1215, 1705, 596, 1655, 1832, 538, 5905, 609, 1142, 824, 607, 19946, 950, 596, 561, 643, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 7170, 281, 4139, 14886, 1222, 4303, 910, 10435, 22627, 21661, 645, 7451, 692, 5970, 596, 2479, 4862, 540, 4139, 14886, 1222, 4303, 286, 898, 781, 513, 2027, 1554, 9976, 1472, 519, 1158, 547, 3895, 11505, 543, 1434, 15884, 1851, 1004, 540, 782, 6082, 256, 1809, 798, 596, 917, 602, 972, 568, 513, 3638, 1686, 3297, 14120, 17052, 998, 1148, 543, 3332, 286, 2913, 781, 4685, 883, 713, 4241, 3460, 1927, 2439, 1103, 519, 3735, 476, 5197, 271, 338, 267, 4789, 14754, 519, 4332, 540, 513, 1007, 5736, 538, 1453, 781, 1433, 14745, 269, 8422, 16805, 5159, 1107, 19124, 595, 8735, 267, 11969, 20462, 2836, 20657, 2714, 267, 543, 938, 5869, 710, 267, 25562, 5682, 12537, 1107, 19117, 875, 2984, 941, 5143, 998, 5961, 269, 1358, 5249, 5702, 609, 4487, 17002, 31611, 27213, 267, 945, 5280, 3142, 741, 22539, 22649, 547, 1272, 269, 901, 2468, 334, 267, 1519, 5682, 12537, 267, 3648, 6766, 1018, 649, 1631, 1289, 519, 834, 20112, 523, 6520, 540, 5753, 781, 3883, 16503, 1674, 3010, 298, 622, 5682, 12537, 267, 3006, 1572, 519, 834, 20075, 523, 540, 519, 12502, 2044, 2437, 1185, 513, 2189, 10516, 585, 2870, 627, 15501, 673, 2592, 540, 1453, 538, 7329, 22690, 545, 5468, 269, 2701, 16545, 513, 3501, 1158, 1141, 3214, 1223, 1451, 3407, 4245, 1247, 11981, 4190, 11247, 4904, 609, 7772, 543, 26454, 269, 2060, 9543, 4778, 543, 10347, 3515, 267, 1352, 13269, 10207, 540, 2648, 267, 17409, 267, 543, 23274, 1063, 2370, 3283, 780, 3086, 1577, 781, 1589, 827, 4139, 14886, 1222, 4303, 538, 1769, 540, 5682, 12537, 781, 960, 269, 1548, 1732, 1259, 547, 8661, 982, 676, 4687, 835, 540, 1200, 17175, 13144, 609, 2828, 2282, 543, 2484, 286, 1411, 666, 1224, 16965, 1200, 4583, 11609, 1650, 267, 834, 15152, 17231, 519, 1488, 2583, 2437, 8385, 3370, 538, 476, 6942, 274, 269, 1306, 596, 2490, 1142, 2985, 267, 4952, 707, 2828, 6947, 32348, 267, 32127, 693, 519, 23406, 3197, 267, 543, 19825, 519, 5898, 540, 1480, 4276, 10489, 2056, 10665, 780, 2414, 22962, 707, 1620, 540, 2518, 17052, 267, 2015, 891, 2238, 1384, 272, 269, 5029, 1125, 513, 5691, 2743, 1575, 609, 4050, 25097, 689, 1114, 2477, 269, 9523, 707, 5172, 25562, 5682, 12537, 12383, 543, 1865, 1946, 789, 5905, 707, 2295, 563, 273, 269, 8073, 29586, 28551, 6486, 6273, 676, 5682, 12537, 781, 2511, 267, 1287, 13875, 873, 547, 2828, 2713, 13383, 269, 11559, 23700, 547, 4159, 741, 10477, 8952, 1389, 23217, 563, 274, 269, 21118, 513, 2199, 2680, 15386, 3486, 2575, 267, 1426, 267, 543, 7544, 269, 2422, 5682, 12537, 781, 12383, 607, 7718, 6667, 267, 5807, 606, 5790, 24188, 540, 1200, 9589, 10600, 780, 3528, 8508, 25562, 5682, 12537, 781, 15851, 5075, 543, 16033, 908, 4139, 14886, 1222, 4303, 267, 649, 5431, 519, 2956, 540, 4296, 2066, 4529, 269, 8625, 267, 1577, 781, 3136, 2679, 13123, 540, 11587, 543, 3838, 2833, 267, 26621, 1312, 3140, 23543, 899, 5682, 12537, 781, 543, 2413, 16873, 899, 4139, 14886, 1222, 4303, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 16675, 12537, 267, 25562, 476, 7277, 277, 268, 5002, 272, 454, 263, 17359, 2012, 21965, 5682, 12537 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 26611, 23591, 24800, 270, 7090, 274, 454, 18411, 453, 2865, 318, 7528, 550, 18258, 692, 453, 326, 1508, 2901, 513, 5569, 610, 513, 1592, 540, 1913, 267, 1265, 519, 834, 330, 257, 1034, 7928, 1913, 8528, 453, 920, 730, 281, 476, 5400, 270, 2420, 270, 1708, 271, 692, 453, 11437, 281, 476, 272, 269, 271, 454, 18257, 692, 19399, 1599, 4214, 476, 19399, 5992, 454, 3698, 737, 318, 2865, 6958, 7528, 550, 318, 6919, 263, 6919, 267, 737, 17107, 453, 258, 29985, 4632, 454, 453, 5320, 8217, 815, 1913, 21858, 4590, 453, 20135, 318, 6919, 815, 7003, 27182, 8217, 994, 453, 5320, 6958, 516, 336, 815, 31460, 453, 2865, 6958, 516, 336, 318, 6919, 815, 29129, 453, 258, 20777, 622, 3097, 14851, 2698, 318, 6919, 2652, 476, 271, 912, 453, 16596, 8528, 453, 258, 16647, 3634, 519, 8675, 609, 519, 1913, 540, 519, 5569, 3097, 22610, 2262, 538, 2262, 8217, 1384, 453, 453, 258, 4219, 519, 2013, 540, 519, 2262, 3097, 453, 453, 5320, 815, 2262, 31573, 10797, 453, 453, 258, 13765, 2436, 519, 1913, 814, 2907, 1044, 11402, 267, 3116, 1039, 621, 547, 519, 8675, 22322, 453, 14851, 2262, 538, 2262, 6958, 516, 336, 281, 3097, 4848, 453, 258, 5320, 568, 2907, 538, 519, 8675, 267, 27261, 519, 1293, 3097, 4848, 453, 5320, 6958, 516, 336, 314, 5320, 316, 6834, 476, 272, 454, 453, 28432, 281, 3097, 4848, 453, 258, 572, 4370, 513, 2262, 585, 519, 1101, 942, 267, 1039, 621, 3097, 4848, 453, 5320, 6958, 516, 336, 314, 5320, 316, 815, 476, 272, 692, 453, 258, 338, 677, 519, 2418, 1759, 593, 519, 1624, 675, 1338, 540, 519, 1367, 1913, 3097, 453, 338, 9285, 318, 12399, 815, 15044, 27182, 6958, 516, 336, 29096, 19572, 1883, 815, 25754, 737, 341, 281, 330, 341, 314, 272, 3910, 9258, 815, 6936, 2020, 453, 258, 16344, 614, 856, 519, 834, 298, 257, 1034, 7928, 1913, 3097, 22610, 1775, 538, 2039, 17347, 2187, 453, 453, 2865, 6958, 516, 336, 318, 6919, 6910, 4433, 9285, 318, 12399, 5157, 6012, 271, 20285, 453, 258, 1372, 30132, 3977, 547, 3593, 3097, 13537, 2891, 763, 1913, 616, 281, 834, 1341, 1193, 27182, 6958, 516, 336, 4917, 13537, 2891, 763, 15044, 10569, 616, 281, 834, 1341, 1193, 4433, 9285, 318, 12399, 4917, 13537, 2891, 763, 834, 1341, 1193, 17347, 264, 1341, 834, 1034, 7928, 1913, 616, 2433, 834, 1341, 1193, 263, 2865, 6958, 516, 336, 318, 6919, 264, 9239, 10310, 5992, 2971, 7462, 1292, 476, 19399, 10310, 2971, 2162, 454, 6919, 15461, 318, 15263, 815, 834, 30560, 1027, 525, 22720, 310, 8585, 1027, 525, 10748, 328, 8585, 1027, 525, 623, 832, 3832, 623, 832, 3832, 30340, 528, 724, 7236, 12113, 337, 926, 12113, 337, 926, 257, 3097, 330, 318, 2865, 6958, 7528, 550, 318, 6919, 263, 6919, 15461, 318, 15263, 267, 476, 275, 994, 0, 26611, 23591, 24800, 270, 7090, 274, 454, 18411, 453, 27917, 23544, 18258, 692, 453, 11693, 513, 1592, 540, 2338, 267, 543, 513, 3077, 1297, 562, 267, 1265, 782, 2189, 10659, 540, 513, 267, 536, 267, 524, 267, 546, 267, 971, 602, 513, 1341, 536, 1341, 524, 1341, 546, 815, 562, 780, 453, 920, 730, 281, 476, 6021, 270, 6734, 270, 1708, 271, 692, 453, 11437, 281, 476, 272, 269, 271, 454, 18257, 692, 10310, 5992, 2162, 7383, 3525, 2737, 476, 10310, 30607, 454, 5228, 9352, 15507, 1104, 10822, 541, 318, 14142, 607, 536, 338, 692, 10310, 5992, 9577, 9502, 476, 10310, 2971, 454, 3698, 2185, 23544, 3799, 13246, 267, 3077, 2567, 8528, 453, 258, 19702, 1963, 3097, 453, 754, 815, 7003, 3799, 13246, 264, 910, 476, 272, 454, 453, 14310, 815, 29129, 453, 258, 20777, 622, 519, 3403, 1592, 3097, 14851, 1439, 2999, 476, 271, 912, 453, 16596, 29129, 453, 258, 338, 677, 519, 2338, 269, 901, 786, 948, 538, 8159, 2436, 3097, 453, 258, 11133, 1499, 991, 547, 581, 3773, 610, 6569, 547, 513, 9864, 2040, 3097, 453, 258, 514, 1931, 547, 3914, 547, 519, 3077, 2040, 3097, 453, 333, 4548, 815, 15044, 3799, 13246, 2020, 453, 258, 30185, 998, 519, 9241, 2813, 1592, 3097, 22610, 1775, 538, 2039, 263, 754, 910, 476, 274, 2187, 453, 22610, 795, 538, 2039, 9217, 1341, 476, 272, 267, 1439, 910, 476, 273, 2187, 4848, 453, 324, 815, 1439, 8528, 4848, 453, 258, 19817, 1393, 513, 9864, 2040, 547, 3313, 799, 7508, 2040, 3097, 4848, 453, 258, 15884, 6556, 519, 5551, 3077, 2040, 3097, 4848, 453, 16482, 4848, 453, 258, 728, 320, 568, 547, 1832, 1775, 25814, 267, 543, 552, 6378, 267, 543, 3842, 9352, 3406, 454, 4848, 453, 258, 323, 9057, 710, 2436, 519, 7508, 7857, 6013, 1063, 795, 543, 552, 454, 4848, 453, 14783, 23544, 815, 15358, 5157, 316, 1341, 15358, 14728, 316, 1341, 15358, 314, 324, 2639, 4848, 453, 18528, 815, 3077, 910, 9864, 23544, 454, 4848, 453, 30915, 815, 536, 338, 12500, 2435, 318, 14142, 25225, 14728, 266, 272, 281, 324, 3910, 886, 267, 6936, 264, 453, 258, 10139, 519, 6936, 9206, 2094, 519, 3403, 568, 2907, 15044, 692, 4848, 453, 258, 13765, 519, 2009, 4994, 689, 1657, 454, 4848, 14851, 7329, 343, 13843, 476, 271, 912, 15235, 453, 14310, 6910, 8443, 333, 4548, 5157, 3910, 15358, 14728, 3910, 15358, 314, 30915, 3910, 15358, 314, 324, 316, 7481, 4848, 28432, 281, 3097, 15235, 453, 11666, 826, 692, 453, 258, 604, 713, 3296, 568, 6603, 621, 1797, 972, 616, 1100, 2009, 13292, 454, 453, 258, 8873, 606, 8900, 1592, 3097, 16596, 32582, 0, 26611, 23591, 24800, 270, 7090, 274, 692, 16482, 258, 7116, 2544, 2012, 281, 1576, 8266, 18258, 454, 16482, 258, 335, 17123, 281, 3313, 519, 1931, 540, 6030, 602, 991, 547, 581, 3144, 1759, 593, 741, 23944, 28987, 540, 873, 563, 258, 4848, 476, 634, 6030, 267, 2059, 609, 741, 23944, 28987, 786, 581, 5293, 513, 607, 513, 8675, 3097, 16482, 258, 11845, 2813, 281, 476, 1015, 270, 6734, 270, 1001, 280, 454, 16482, 258, 11437, 281, 476, 272, 269, 271, 454, 258, 692, 19399, 10310, 5992, 2971, 7462, 454, 258, 4848, 453, 10818, 4214, 4848, 453, 16482, 19399, 10310, 5992, 2971, 7462, 454, 3698, 23944, 28987, 6262, 6847, 17107, 453, 258, 1998, 9179, 2638, 3097, 14851, 6030, 2652, 476, 7183, 912, 453, 13537, 2891, 5591, 6030, 941, 5293, 15419, 453, 258, 29985, 4632, 454, 453, 322, 6847, 8217, 815, 29129, 453, 258, 30185, 998, 519, 546, 20601, 776, 2394, 972, 616, 1100, 811, 5049, 2451, 454, 453, 258, 22372, 593, 519, 23944, 28987, 3097, 22610, 1775, 538, 2039, 263, 271, 267, 7003, 6262, 12973, 264, 2567, 3097, 453, 13537, 4590, 453, 22610, 737, 267, 341, 538, 6030, 29096, 10031, 4848, 14851, 642, 2652, 1576, 8217, 912, 15235, 453, 322, 6847, 8217, 6910, 17347, 2020, 453, 28744, 519, 1931, 547, 1491, 519, 6030, 454, 13537, 2891, 290, 12973, 1058, 581, 3144, 538, 519, 1739, 1931, 281, 834, 1341, 1193, 6262, 6847, 8217, 11723, 19399, 10310, 5992, 2971, 7462, 454, 258, 15235, 453, 14611, 15235, 453, 16482, 19399, 10310, 5992, 2971, 7462, 692, 258, 29985, 4756, 454, 322, 12973, 815, 13634, 453, 262, 322, 2675, 6110, 262, 2433, 18358, 322, 2675, 1911, 3299, 1412, 322, 2675, 1220, 3299, 1412, 322, 2675, 4968, 11172, 2676, 453, 262, 322, 2675, 4968, 262, 2433, 18358, 322, 2675, 1911, 3299, 1412, 322, 2675, 1220, 11172, 2676, 453, 262, 322, 2675, 1220, 262, 2433, 18358, 322, 2675, 1911, 11172, 2676, 453, 262, 322, 2675, 1911, 262, 2433, 11713, 10926, 258, 322, 718, 1599, 547, 1820, 519, 1592, 538, 1931, 454, 2181, 7528, 28987, 6262, 12973, 994, 0, 26611, 23591, 24800, 270, 7090, 274, 692, 16482, 258, 17967, 18258, 454, 16482, 258, 13517, 281, 2016, 513, 1592, 540, 2338, 267, 543, 606, 8870, 1412, 330, 3299, 17967, 519, 1592, 476, 2451, 676, 1412, 330, 262, 9634, 454, 16482, 258, 23095, 281, 476, 277, 270, 4905, 270, 1708, 271, 454, 16482, 258, 3763, 518, 281, 13798, 1410, 31239, 454, 16482, 258, 19405, 281, 476, 272, 269, 271, 454, 258, 692, 10310, 30607, 7383, 2556, 13838, 476, 10310, 30607, 454, 5814, 2338, 8528, 10310, 2971, 7462, 9577, 4214, 476, 10310, 2971, 7462, 8528, 3698, 17967, 26161, 19906, 267, 737, 2567, 8528, 453, 258, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 316, 737, 815, 476, 273, 454, 453, 258, 1496, 277, 267, 476, 278, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 6540, 453, 258, 29985, 4756, 3097, 453, 26319, 815, 7003, 19906, 264, 8528, 453, 258, 8527, 622, 519, 5044, 3842, 6677, 22760, 908, 1079, 14249, 598, 12723, 676, 14253, 532, 3097, 453, 258, 1492, 3312, 835, 3097, 14851, 3259, 281, 3097, 453, 13537, 2891, 26161, 568, 2433, 834, 1341, 1193, 19906, 4917, 453, 453, 1551, 815, 2855, 314, 26319, 910, 737, 281, 316, 1341, 2855, 314, 271, 281, 3259, 910, 737, 2639, 453, 13537, 2891, 3086, 5044, 568, 281, 834, 1341, 1193, 19906, 4917, 28432, 281, 3097, 453, 16596, 476, 7531, 10310, 2971, 7462, 6301, 1187, 551, 3626, 476, 476, 10310, 2971, 7462, 3097, 258, 29985, 4756, 454, 3240, 318, 26161, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 476, 279, 2639, 330, 815, 476, 271, 692, 258, 5891, 519, 3312, 1592, 3097, 2745, 2891, 6944, 757, 540, 519, 1592, 1991, 547, 15914, 621, 281, 834, 1341, 1193, 30044, 318, 26161, 11723, 258, 2532, 3593, 585, 519, 1297, 676, 799, 621, 1058, 17967, 519, 1592, 454, 258, 10193, 19472, 519, 3403, 3842, 513, 834, 4777, 1247, 257, 6752, 3097, 6112, 6936, 281, 3097, 453, 330, 815, 3403, 2891, 11767, 513, 1297, 676, 799, 519, 1592, 1058, 581, 29352, 8206, 15419, 13537, 2891, 330, 568, 540, 1826, 281, 834, 1341, 1193, 263, 6943, 17347, 21875, 14851, 568, 27349, 17301, 17347, 1070, 2338, 269, 10831, 2187, 453, 453, 19874, 692, 258, 8527, 622, 519, 1505, 1310, 2348, 24019, 519, 3593, 3403, 3097, 8527, 622, 26161, 30044, 318, 26161, 267, 703, 17347, 11723, 258, 5891, 519, 29352, 1592, 3097, 2745, 2891, 6944, 757, 540, 519, 29352, 1592, 616, 281, 834, 1341, 1193, 30044, 318, 26161, 4917, 0, 1477, 5035, 9906, 24998, 8029, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 267, 4008, 8029, 1038, 1582, 20508, 815, 2012, 1477, 1038, 1582, 14857, 14054, 815, 4008, 5897, 825, 1219, 1205, 318, 14054, 4311, 8029, 1038, 1820, 4311, 14857, 14054, 10142, 825, 1219, 1305, 318, 14054, 4311, 267, 4008, 8029, 1038, 952, 4008, 11203, 1412, 332, 1446, 262, 543, 4008, 11203, 1412, 325, 24580, 262, 6769, 2018, 6318, 28759, 3488, 342, 3994, 4008, 20298, 1038, 3116, 6769, 2018, 1582, 14857, 14054, 815, 4008, 24653, 5894, 320, 815, 9906, 3488, 299, 13453, 3299, 1412, 325, 24580, 20298, 5894, 320, 10947, 318, 14054, 14052, 5894, 320, 15630, 318, 14054, 3488, 332, 1446, 20298, 5894, 320, 10947, 318, 14054, 14052, 5897, 0, 258, 1247, 8520, 454, 328, 815, 476, 272, 454, 6112, 1775, 10922, 476, 276, 912, 825, 1820, 9217, 994, 825, 1775, 815, 1775, 266, 272, 692, 258, 585, 8520, 454, 2993, 815, 22373, 295, 6702, 559, 14824, 303, 611, 6062, 344, 541, 2580, 2641, 2639, 258, 476, 272, 560, 1505, 454, 1721, 795, 538, 15073, 912, 825, 1820, 27203, 2020, 258, 273, 526, 1505, 454, 1721, 737, 538, 2039, 12759, 263, 2993, 15892, 825, 1820, 263, 2993, 25208, 7481, 12828, 912, 825, 1820, 2891, 31467, 8694, 8442, 0, 5228, 17511, 1104, 715, 3139, 307, 340, 921, 692, 5228, 10918, 10734, 21488, 4877, 668, 19600, 1104, 27210, 825, 5173, 30648, 1417, 720, 318, 4134, 12248, 2676, 825, 5173, 10734, 690, 1993, 2676, 825, 5180, 318, 1575, 2676, 9239, 5035, 31336, 303, 878, 518, 24998, 2187, 825, 5727, 589, 1362, 602, 21410, 519, 3902, 540, 5370, 1519, 1022, 10858, 28774, 454, 825, 29185, 825, 25528, 318, 4752, 619, 815, 13634, 1038, 834, 4134, 12248, 30648, 1417, 720, 9899, 5173, 30648, 1417, 720, 318, 4134, 12248, 2676, 1038, 834, 24246, 311, 1326, 312, 16451, 9899, 5173, 10734, 690, 1993, 2676, 825, 7684, 692, 825, 1219, 6449, 8181, 9191, 1345, 267, 11127, 267, 32562, 267, 3091, 2187, 1038, 5727, 31336, 303, 878, 518, 1843, 3355, 16014, 692, 1038, 2433, 12407, 11127, 281, 589, 4015, 540, 5370, 513, 6075, 16858, 547, 4444, 454, 1038, 2433, 12407, 32562, 281, 634, 2472, 4867, 4421, 676, 519, 2706, 21466, 454, 1038, 2433, 12407, 3091, 281, 1452 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1592, 8339, 1403, 596, 798, 711, 4309, 552, 17733, 538, 707, 1412, 514, 7901, 3299, 2638, 707, 1412, 12712, 330, 13875, 262, 610, 1412, 329, 6064, 13875, 262, 32766, 907, 0, 5978, 2104, 5673, 593, 875, 649, 946, 938, 2200, 282, 649, 666, 1152, 3356, 952, 649, 1832, 1565, 269, 3367, 593, 547, 1265, 856, 1018, 22956, 2701, 636, 267, 10361, 540, 5071, 4121, 1282, 1010, 942, 693, 606, 3078, 8562, 983, 28358, 999, 6997, 538, 5507, 563, 5331, 9660, 6752, 539, 856, 540, 4551, 610, 11647, 9112, 689, 17228, 269, 2107, 1018, 827, 10381, 1500, 856, 540, 1480, 4551, 286, 901, 568, 711, 2257, 5708, 267, 713, 568, 1483, 1272, 543, 8345, 538, 519, 4639, 267, 607, 649, 3717, 269, 1403, 596, 2461, 11842, 1018, 594, 6557, 6158, 827, 267, 713, 568, 519, 5748, 593, 799, 519, 1523, 540, 8562, 983, 19004, 568, 1759, 2390, 282, 513, 1062, 602, 2853, 561, 1263, 28517, 519, 1272, 12732, 540, 2200, 610, 2326, 676, 4227, 267, 9657, 543, 556, 6748, 563, 290, 1844, 983, 19004, 568, 2938, 607, 513, 14323, 3070, 538, 22589, 4264, 1646, 607, 10353, 547, 938, 1699, 4346, 799, 568, 811, 5276, 609, 513, 1491, 267, 1118, 543, 3653, 610, 26565, 540, 2203, 269, 8562, 983, 19004, 610, 6382, 1634, 607, 8562, 983, 640, 267, 3927, 32195, 519, 8520, 676, 2870, 2472, 602, 616, 2966, 538, 513, 1259, 602, 4688, 519, 2200, 649, 723, 269, 901, 1797, 602, 789, 666, 581, 3362, 30465, 543, 3251, 1369, 519, 1062, 585, 3476, 5712, 540, 942, 610, 26356, 9108, 267, 1510, 31362, 519, 1604, 563, 11900, 25378, 14913, 5607, 609, 3864, 8562, 983, 640, 454, 9617, 2469, 585, 621, 568, 6157, 1018, 938, 2828, 538, 519, 4639, 616, 3257, 267, 2687, 547, 519, 1995, 540, 22956, 2701, 636, 267, 10361, 540, 5071, 693, 4437, 10202, 1532, 25702, 19541, 945, 729, 17275, 676, 9764, 6667, 950, 646, 15548, 538, 519, 8562, 983, 28358, 999, 6997, 607, 513, 14570, 1014, 15518, 622, 7258, 824, 10323, 288, 30896, 543, 8562, 983, 19004, 9439, 563, 301, 747, 15614, 1568, 538, 2673, 16133, 609, 2725, 18622, 6390, 631, 5474, 10628, 267, 4437, 10202, 1532, 25702, 19541, 779, 2069, 6186, 547, 18634, 3860, 3435, 269, 1261, 849, 5012, 2542, 7886, 547, 1174, 3308, 2528, 538, 6935, 547, 519, 6214, 540, 2230, 609, 22388, 290, 691, 13132, 543, 8754, 729, 519, 3501, 11134, 585, 519, 6997, 602, 729, 4371, 538, 5507, 269, 634, 8562, 983, 28358, 999, 6997, 729, 22555, 676, 519, 31130, 5839, 6635, 11037, 5748, 267, 538, 5698, 609, 3703, 7027, 779, 15339, 5071, 543, 22960, 630, 4696, 293, 264, 8257, 563, 4407, 519, 10323, 288, 3148, 607, 513, 2898, 568, 513, 2370, 3787, 811, 6619, 982, 17111, 267, 15217, 519, 30896, 8815, 602, 972, 616, 1514, 2152, 602, 991, 21365, 1101, 267, 610, 21276, 569, 267, 1354, 649, 666, 10994, 519, 2825, 2152, 269, 1403, 519, 25013, 4525, 991, 547, 2628, 811, 547, 1118, 13476, 6857, 3664, 267, 789, 8910, 1454, 2864, 2887, 1394, 593, 519, 2025, 2081, 267, 899, 17885, 1532, 9506, 267, 513, 2259, 602, 568, 1360, 1455, 538, 12868, 543, 729, 835, 540, 519, 2152, 602, 12246, 328, 14508, 654, 756, 578, 334, 267, 13653, 540, 6997, 307, 1415, 320, 729, 3843, 547, 4194, 269, 654, 756, 578, 334, 2919, 1585, 7341, 538, 519, 1106, 540, 1382, 543, 6901, 5473, 2950, 543, 519, 1857, 563, 763, 824, 5171, 538, 519, 8562, 983, 28358, 999, 2978, 2097, 689, 782, 936, 3162, 5101, 5607, 912, 296, 16867, 3397, 337, 643, 2088, 6719, 30619, 24248, 267, 513, 7104, 540, 24414, 4775, 3048, 2209, 945, 5063, 3357, 909, 609, 513, 1788, 602, 8214, 956, 1216, 5533, 543, 6710, 1107, 14298, 312, 288, 595, 263, 302, 264, 308, 27331, 264, 307, 13543, 269, 634, 2197, 779, 14021, 13386, 2504, 3123, 1216, 5533, 267, 865, 519, 7104, 1336, 513, 1259, 547, 3351, 1047, 865, 5984, 3653, 547, 1711, 6915, 1922, 3241, 543, 512, 10165, 16463, 269, 8341, 928, 568, 849, 519, 1071, 1922, 10133, 540, 634, 5600, 540, 7849, 27438, 630, 295, 2177, 293, 1070, 513, 962, 9609, 752, 21840, 2861, 1007, 2923, 1148, 8047, 563, 298, 17868, 333, 691, 744, 978, 267, 513, 10854, 330, 758, 2861, 6752, 543, 20955, 14704, 267, 11001, 543, 3860, 2054, 626, 9843, 909, 2859, 31467, 267, 606, 2228, 3760, 602, 1225, 919, 21045, 5958, 689, 1804, 9755, 543, 5932, 606, 5117, 17929, 2199, 27503, 19135, 543, 6752, 9858, 666, 6718, 5958, 693, 513, 10257, 3902, 1107, 14656, 513, 8520, 538, 519, 6752, 2872, 15029, 14178, 14438, 585, 17234, 547, 5512, 2804, 15325, 563, 10111, 32221, 5548, 656, 541, 267, 606, 8366, 20421, 1514, 16724, 1071, 1922, 15903, 16816, 636, 267, 513, 4264, 10672, 540, 11647, 543, 954, 12542, 3710, 593, 9764, 4346, 3741, 269, 16816, 636, 2027, 2478, 538, 3384, 4264, 1374, 2472, 543, 9703, 2230, 998, 519, 946, 540, 3653, 267, 5631, 689, 519, 4070, 2872, 563, 300, 2967, 715, 7666, 344, 523, 267, 513, 20536, 693, 2295, 543, 513, 14468, 7344, 11653, 927, 916, 5442, 32271, 267, 513, 1514, 14679, 602, 2337, 1762, 19176, 556, 1673, 4593, 1478, 741, 2686, 6561, 998, 556, 268, 19960, 1441, 3946, 6823, 2833, 269, 2701, 568, 849, 606, 3742, 1139, 7163, 540, 28529, 18350, 15223, 580, 517, 1107, 14208, 15616, 3687, 327, 4975, 779, 1101, 15670, 10628, 547, 1332, 689, 513, 15964, 8630, 547, 513, 3984, 540, 519, 476, 275, 628, 28529, 18350, 5607, 8416, 10985, 267, 513, 3148, 958, 12021, 5870, 547, 5818, 519, 2528, 540, 5647, 563, 29605, 540, 519, 8892, 454, 4263, 519, 13186, 267, 22956, 267, 2059, 609, 519, 824, 30896, 2620, 1673, 913, 883, 519, 2035, 540, 9764, 1374, 543, 6170, 513, 2603, 540, 942, 2469, 936, 9764, 4346, 2994, 998, 1909, 25178, 543, 1062, 543, 30393, 11837, 269, 589, 9764, 14704, 568, 2576, 945, 6272, 609, 519, 2898, 8520, 538, 2247, 267, 543, 711, 1175, 519, 1587, 799, 1797, 556, 23302, 519, 3003, 5663, 1184, 2059, 609, 14273, 267, 21527, 543, 519, 14438, 540, 519, 1587, 563, 5445, 849, 1185, 513, 4960, 547, 4603, 609, 31893, 268, 26196, 267, 799, 568, 1500, 909, 540, 1216, 543, 9848, 1356, 565, 269, 20331, 609, 5986, 31781, 543, 13489, 516, 3464, 267, 5171, 16309, 538, 1818, 513, 6656, 540, 31893, 1979, 31129, 269, 4033, 4277, 11925, 3769, 25935, 5027, 689, 22229, 267, 607, 606, 25644, 547, 24684, 563, 4002, 519, 3791, 1554, 267, 519, 1895, 941, 2016, 606, 4316, 547, 7198, 8562, 983, 19004, 538, 2962, 998, 513, 3643, 547, 7046, 8426, 267, 513, 13398, 540, 801, 3930, 585, 2038, 3942, 30596, 543, 9858, 269, 7046, 8426, 2709, 513, 2565, 2527, 540, 5989, 543, 513, 2146, 540, 899, 16490, 2043, 547, 948, 9858, 543, 15670, 18634, 5488, 1510, 519, 11411, 540, 970, 8735, 748, 16841, 3790, 563, 15411, 8426, 729, 782, 519, 811, 12300, 1813, 547, 922, 8966, 4087, 282, 4952, 2469, 547, 513, 11112, 5507, 2344, 543, 25884, 513, 4015, 540, 9649, 3039, 11288, 11149, 1318, 538, 519, 1647, 540, 782, 602, 2962, 256, 19612, 607, 519, 968, 321, 1470, 8686, 650, 720, 5608, 519, 11149, 2777, 2011, 344, 7636, 7350, 22475, 267, 543, 24603, 3318, 3937, 563, 2467, 941, 1585, 30596, 602, 9575, 22956, 685, 3750, 267, 855, 519, 1079, 1034, 4277, 941, 932, 760, 314, 338, 316, 8274, 945, 941, 3168, 547, 4194, 519, 1966, 540, 2582, 14025, 2326, 971, 607, 1587, 6763, 602, 616, 3335, 1500, 609, 5420, 5860, 20249, 15236, 630, 300, 5263, 1070, 513, 1826, 540, 1570, 602, 568, 6757, 543, 711, 1279, 18835, 610, 4264, 267, 585, 602, 2339, 269, 932, 760, 314, 338, 316, 8274, 568, 513, 1007, 8790, 1468, 2147, 538, 9403, 547, 631, 5263, 855, 568, 3079, 1500, 856, 540, 15837, 3653, 269, 9747, 267, 950, 621, 568, 26356, 267, 621, 3085, 1406, 2800, 519, 1604, 563, 763, 824, 835, 568, 1634, 607, 12713, 327, 332, 267, 513, 23492, 602, 10953, 4264, 2679, 2409, 267, 1519, 513, 6915, 2173, 1468, 1500, 689, 13271, 269, 12713, 327, 332, 6663, 547, 1118, 938, 3710, 1604, 8902, 543, 811, 4264, 998, 519, 1646, 540, 6915, 2861, 2326, 543, 9764, 4070, 1949, 269, 634, 23492, 568, 19234, 609, 1114, 2249, 540, 1250, 4897, 1756, 547, 1711, 4264, 8925, 547, 930, 540, 519, 4070, 2872, 779, 1034, 14124, 2326, 563, 2419, 2335, 9934, 938, 2806, 1495, 766, 454, 301, 747, 15614, 543, 1010, 2319, 10863, 849, 1185, 519, 4316, 540, 5870, 609, 631, 831, 328, 558, 267, 606, 3486, 1382, 3760, 5059, 593, 2870, 543, 4687, 1930, 2707, 8790, 1468, 10346, 1500, 689, 12725, 10731, 2067, 5567, 269, 631, 831, 328, 558, 3838, 741, 2093, 540, 11606, 540, 2326, 282, 972, 616, 2965, 865, 1082, 1114, 5686, 540, 2326, 856, 972, 602, 666, 581, 1500, 883, 1979, 6955, 10415, 267, 971, 607, 27794, 267, 799, 568, 3812, 676, 2371, 543, 669, 527, 514, 799, 2097, 689, 32729, 269, 3502, 1152, 616, 789, 10731, 569, 2139, 267, 789, 616, 4625, 27532, 563, 1607, 19430, 22956, 547, 1589, 540, 1018, 729, 10731, 569, 2139, 538, 17111, 1107, 1919, 899, 5774, 534, 3762, 267, 19337, 3762, 267, 19348, 543, 17310, 1223, 581, 2417, 8268, 585, 741, 1761, 538, 513, 9764, 4346, 563, 763, 3003, 2947, 6377, 2978, 729, 5059, 593, 2326, 585, 513, 1434, 2601, 1107, 538, 519, 2104, 267, 938, 4346, 4465, 1406, 581, 13856, 676, 2472, 267, 3079, 621, 786, 581, 606, 4346, 540, 2326, 1141, 10731, 2200, 786, 1217, 519, 3664, 540, 519, 2344, 543, 9755, 269, 898, 779, 513, 5458, 6521, 267, 855, 621, 568, 513, 6521, 602, 6927, 543, 621, 779, 827, 4657, 8186, 1115, 563, 3528, 519, 1439, 540, 8562, 983, 28358, 999, 6997, 267, 22956, 543, 519, 824, 30896, 1185, 1044, 6534, 547, 519, 2104, 540, 2326, 269, 22956, 1483, 2213, 602, 513, 2603, 540, 519, 3703, 9439, 267, 9858, 543, 11639, 941, 711, 8209, 5059, 593, 1818, 2472, 267, 855, 941, 811, 5461, 538, 19234, 609, 2326, 602, 1223, 5372, 938, 21341, 593, 5667, 20980, 2326, 269, 898, 568, 2009, 602, 593, 713, 2427, 540, 519, 1158, 267, 649, 616, 1175, 1932, 6899, 609, 519, 11606, 543, 8244, 540, 10375, 855, 5667, 20980, 2326, 269, 14066, 569, 267, 621, 814, 547, 798, 609, 8226, 543, 875, 649, 1413, 693, 4948, 3688, 563, 2171, 666, 1152, 4952, 5068, 1317, 602, 779, 782, 649, 917, 269, 634, 3390, 1498, 267, 568, 602, 15229, 543, 824, 1875, 1532, 1675, 22869, 2326, 616, 21006, 519, 3047, 269, 4208, 666, 1406, 649, 1689, 519, 1259, 649, 1589, 540, 6671, 2326, 888, 301, 747, 15614, 25221, 602, 621, 4465, 1406, 581, 1279, 1354, 9764, 1374, 3587, 19311, 543, 972, 514, 6013, 513, 23319, 538, 875, 547, 1376, 3206, 4111, 1836, 827, 2326, 269, 1635, 2731, 1620, 519, 3761, 5832, 543, 1871, 11800, 950, 621, 2501, 547, 938, 2200, 267, 4896, 666, 3605, 3875, 9764, 3255, 269, 2290, 2115, 547, 1294, 1141, 596, 666, 26544, 607, 606, 16724, 267, 14704, 610, 1870, 17367, 543, 1711, 1007, 3255, 585, 2933, 563, 307, 745, 569, 7046, 11905, 454, 2005, 568, 519, 1007, 1259, 540, 20835, 267, 543, 1360, 2693, 519, 2104, 602, 649, 786, 2661, 538, 269, 1403, 2757, 15178, 6009, 616, 4742, 513, 20317, 267, 621, 2306, 2631, 547, 1902, 538, 1007, 1983, 543, 1702, 971, 607, 8562, 983, 19004, 543, 5071, 563, 3080, 1390, 1259, 547, 1451, 827, 519, 1202, 543, 16080, 540, 9764, 4346, 568, 547, 3643, 2725, 18622, 6390, 1282, 519, 7046, 11905, 8562, 983, 19004, 630, 5308, 4753, 264, 2680, 269, 19612, 607, 513, 2048, 325, 20667, 540, 9764, 640, 16224, 2725, 18622, 6390, 779, 1292, 1445, 6013, 538, 2069, 543, 621, 568, 998, 713, 9910, 1922, 652, 2526, 602, 596, 666, 2731, 2253, 547, 1174, 519, 2035, 540, 8562, 983, 19004, 269, 634, 13013, 4753, 17963, 476, 1001, 280, 22387, 6363, 652, 2526, 786, 723, 513, 3984, 540, 11925, 267, 22833, 31730, 543, 4670, 32182, 547, 5351, 707, 3460, 2509, 9764, 640, 563, 9288, 18622, 6390, 568, 782, 827, 18997, 31655, 543, 4079, 7567, 267, 543, 513, 5692, 602, 649, 616, 3226, 13730, 827, 568, 6908, 23164, 6107, 543, 5876, 676, 8756, 532, 513, 3210, 547, 2872, 3653, 269, 1635, 18997, 519, 8186, 543, 12271, 540, 938, 2104, 3401, 609, 519, 2035, 540, 8562, 983, 19004, 543, 5071, 267, 649, 711, 1152, 2327, 513, 1732, 14182, 267, 855, 513, 811, 4264, 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 ]
[ 23960, 519, 3178, 543, 3099, 540, 1576, 543, 1565, 2326, 269, 12232, 2228, 585, 1863, 563, 1103, 519, 2063, 476, 277, 3275, 454, 1432, 2052, 1411, 6258, 3414, 6732, 13192, 17270, 20043, 888, 30208, 7384, 6280, 6030, 267, 1283, 6531, 7384, 6030, 267, 6531, 7384, 2866, 6030, 267, 6531, 7384, 13995, 6030, 2228, 267, 6531, 7384, 6030, 12375, 267, 1659, 338, 6531, 7384, 6030, 267, 6030, 538, 6531, 7384, 267, 1655, 6531, 7384, 6030, 267, 2228, 6030, 593, 6531, 7384, 267, 1655, 2228, 6531, 7384, 6030, 267, 2228, 6531, 7384, 6030, 267, 6531, 7384, 13995, 6030, 0, 4407, 2542, 968, 634, 13595, 540, 519, 32013, 11780, 892, 676, 3627, 8381, 21690, 621, 5795, 803, 513, 2631, 540, 20185, 827, 938, 1699, 4346, 543, 519, 10553, 4123, 269, 21690, 729, 1360, 13181, 538, 1010, 1603, 543, 5795, 513, 9522, 540, 1114, 5380, 269, 1306, 1134, 607, 4758, 513, 2603, 540, 2963, 5885, 782, 540, 1010, 8753, 543, 2093, 269, 901, 5280, 803, 1174, 875, 8474, 5249, 593, 513, 2518, 2796, 543, 782, 540, 519, 7700, 2188, 4730, 883, 713, 1271, 1888, 269, 594, 17329, 1565, 811, 827, 6628, 779, 9525, 267, 543, 875, 789, 6836, 547, 3262, 741, 10504, 998, 4978, 269, 898, 568, 1271, 547, 2243, 875, 649, 723, 2919, 607, 513, 4182, 543, 607, 3742, 5171, 538, 938, 4346, 563, 9961, 6628, 972, 729, 513, 2178, 2631, 540, 18541, 3823, 519, 3661, 602, 789, 630, 553, 513, 4182, 264, 941, 1732, 982, 1866, 1317, 540, 741, 5837, 1646, 269, 1358, 17329, 547, 1589, 602, 741, 968, 20139, 1915, 729, 3989, 676, 513, 2189, 20174, 547, 15698, 267, 602, 741, 338, 729, 606, 10504, 540, 4123, 267, 711, 540, 2531, 514, 542, 892, 630, 335, 269, 736, 1040, 594, 2219, 713, 3948, 729, 2864, 4277, 269, 1358, 4628, 3494, 602, 1317, 789, 17049, 8474, 789, 941, 513, 811, 2919, 1004, 269, 1717, 789, 1869, 7494, 1527, 1243, 1055, 540, 8474, 543, 782, 540, 922, 2804, 2640, 269, 1635, 10825, 713, 2856, 267, 621, 849, 5280, 3262, 3703, 18541, 547, 824, 2477, 267, 4758, 6628, 811, 1379, 13998, 269, 769, 782, 540, 6628, 779, 3646, 267, 538, 519, 1439, 789, 4941, 811, 1379, 543, 1869, 4941, 547, 1489, 519, 10553, 4123, 547, 948, 873, 17215, 269, 594, 1589, 621, 568, 4241, 547, 1294, 875, 513, 3661, 610, 2856, 666, 7494, 3565, 547, 1480, 2924, 543, 5126, 267, 543, 875, 621, 786, 581, 10244, 539, 547, 1832, 689, 4758, 811, 1379, 547, 602, 2197, 267, 971, 607, 938, 4704, 538, 1362, 827, 3624, 543, 3013, 563, 1103, 968, 763, 13595, 540, 519, 32013, 11780, 892, 513, 1880, 1899, 12758, 609, 803, 3823, 875, 1256, 519, 20552, 626, 941, 1869, 538, 30541, 1836, 5885, 519, 10553, 4123, 998, 741, 4616, 269, 1358, 1131, 1869, 4444, 4006, 267, 10269, 267, 543, 10412, 9660, 799, 538, 1198, 2285, 1379, 543, 2724, 547, 519, 3169, 1004, 602, 789, 941, 8165, 1996, 269, 1809, 1317, 621, 729, 968, 719, 540, 8289, 856, 540, 2247, 2223, 789, 4769, 1406, 917, 875, 1454, 789, 941, 2965, 7700, 547, 519, 10553, 4123, 269, 1879, 649, 5635, 713, 547, 2221, 779, 6848, 2343, 540, 9140, 1919, 971, 607, 7802, 269, 1284, 2760, 2731, 2015, 875, 713, 5222, 1866, 269, 6145, 519, 10553, 4123, 267, 950, 8474, 729, 7979, 31090, 267, 519, 2462, 10553, 18318, 1131, 1847, 12341, 789, 1223, 1869, 1118, 513, 7443, 16155, 267, 543, 1869, 3142, 782, 519, 2472, 1394, 547, 3013, 547, 6133, 269, 769, 2221, 779, 2486, 267, 2462, 3549, 1847, 741, 15327, 547, 1447, 2919, 2477, 610, 3283, 602, 1810, 1406, 723, 2178, 11668, 4031, 269, 901, 568, 1141, 1453, 267, 2021, 543, 2367, 616, 16094, 24598, 4660, 269, 1358, 3112, 6488, 513, 2713, 543, 519, 1453, 1995, 3665, 23434, 693, 513, 1360, 1762, 2085, 269, 1452, 1079, 3871, 616, 1360, 2147, 269, 1284, 1810, 1406, 1294, 713, 1764, 950, 649, 4444, 1346, 27890, 267, 543, 875, 1454, 891, 5458, 5479, 13362, 3549, 616, 1527, 1746, 1055, 540, 721, 543, 519, 24598, 4660, 4600, 563, 296, 7494, 15874, 31687, 1115, 685, 960, 269, 594, 1589, 621, 2731, 5280, 803, 1020, 1250, 2093, 827, 519, 10553, 4123, 689, 2789, 1114, 5380, 269, 594, 3494, 602, 713, 568, 875, 1686, 1058, 581, 6026, 269, 1284, 1058, 1451, 875, 547, 1118, 4296, 689, 519, 2250, 547, 519, 1459, 269, 594, 1589, 713, 666, 4001, 721, 513, 2603, 827, 938, 1699, 2486, 543, 875, 513, 2603, 540, 938, 2042, 6565, 689, 519, 10553, 4123, 269, 0, 1432, 5198, 1101, 20595, 23487, 331, 4169, 888, 763, 1101, 1634, 1806, 540, 519, 688, 1009, 1803, 4266, 1394, 547, 3504, 5527, 267, 1141, 23487, 331, 4169, 7902, 593, 12266, 13742, 269, 631, 17026, 1881, 3788, 540, 3504, 21072, 609, 23487, 331, 4169, 723, 1256, 1044, 16626, 689, 15456, 4609, 563, 8005, 11827, 23487, 331, 4169, 888, 763, 2696, 32251, 20595, 2048, 3901, 1540, 685, 23487, 331, 4169, 269, 1924, 621, 568, 5310, 519, 12075, 945, 723, 519, 19796, 1190, 22632, 540, 2048, 514, 28124, 685, 23487, 331, 4169, 267, 543, 649, 1223, 21230, 9959, 602, 519, 3979, 21072, 15520, 3261, 730, 23487, 338, 689, 873, 269, 8921, 3357, 519, 3504, 16380, 563, 12441, 23487, 331, 4169, 2097, 689, 31557, 888, 3383, 1705, 519, 31557, 6427, 23487, 331, 4169, 286, 3143, 269, 4340, 547, 4936, 5638, 267, 519, 22469, 1004, 267, 27272, 11031, 267, 543, 519, 31557, 20595, 741, 4552, 538, 18052, 6438, 22204, 269, 4634, 2038, 10271, 941, 5156, 547, 723, 12816, 741, 4552, 538, 23487, 331, 4169, 607, 513, 24744, 547, 28932, 517, 267, 945, 1185, 5722, 25437, 540, 4552, 563, 2710, 23487, 338, 1413, 1434, 593, 3043, 16921, 888, 19669, 8695, 9090, 1413, 1434, 609, 23487, 338, 269, 1717, 267, 23487, 568, 835, 540, 519, 811, 2352, 688, 1009, 5138, 585, 513, 3043, 812, 547, 7485, 1055, 538, 513, 3318, 4259, 269, 15788, 1498, 267, 23487, 6674, 568, 835, 540, 519, 1919, 602, 513, 3043, 7911, 666, 7328, 547, 2285, 873, 6015, 538, 1931, 547, 6023, 1022, 3510, 1732, 563, 1692, 798, 596, 2226, 24272, 22057, 23487, 338, 888, 310, 1662, 707, 23487, 331, 4169, 2899, 1169, 476, 273, 268, 275, 2395, 269, 898, 779, 1271, 547, 1832, 707, 23487, 338, 2973, 543, 547, 4894, 19221, 689, 707, 25437, 269, 13667, 547, 11547, 707, 4552, 693, 2547, 476, 272, 942, 829, 3018, 267, 855, 711, 1169, 1554, 269, 898, 779, 1655, 547, 7227, 693, 2547, 476, 273, 2395, 1063, 1142, 11547, 547, 1450, 707, 21435, 547, 3132, 2067, 11041, 563, 1692, 798, 596, 11547, 24272, 22057, 23487, 338, 888, 1692, 547, 11547, 23487, 331, 4169, 454, 268, 22911, 707, 23487, 331, 4169, 543, 21435, 1360, 1134, 563, 268, 32449, 513, 3787, 540, 31576, 5622, 883, 707, 1688, 543, 960, 621, 883, 707, 4552, 563, 268, 1879, 596, 4076, 3812, 2614, 561, 1430, 267, 1376, 2527, 1645, 707, 21435, 782, 936, 1210, 707, 31840, 563, 268, 2422, 7899, 540, 1216, 547, 27125, 563, 268, 1403, 596, 723, 9921, 23487, 338, 267, 2285, 873, 513, 1434, 2048, 332, 559, 6362, 563, 1432, 779, 519, 5169, 540, 23487, 331, 4169, 888, 5278, 540, 519, 9998, 26007, 540, 23487, 331, 4169, 4266, 1394, 607, 2484, 607, 476, 8182, 271, 1700, 5611, 271, 14514, 538, 519, 631, 3626, 534, 31511, 267, 835, 540, 2342, 779, 9998, 12977, 267, 1298, 1042, 538, 11511, 974, 630, 852, 851, 540, 10255, 1916, 8005, 941, 23487, 338, 11827, 676, 286 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 607, 1426, 585, 3425, 538, 4025, 971, 607, 3567, 543, 6576, 563, 2026, 513, 649, 324, 17078, 267, 594, 17696, 18784, 1426, 12758, 547, 519, 4672, 269, 594, 849, 31030, 593, 519, 4672, 585, 12062, 689, 11975, 269, 8693, 1689, 568, 4929, 519, 4262, 4672, 547, 15835, 4505, 538, 519, 4005, 267, 543, 713, 568, 513, 1966, 585, 1762, 737, 18115, 269, 2368, 737, 18115, 5095, 723, 17379, 909, 547, 476, 3199, 260, 1813, 547, 2916, 1689, 563, 4131, 779, 4126, 2916, 1689, 3085, 1406, 26763, 856, 1250, 2249, 267, 607, 621, 1131, 581, 17672, 547, 2831, 2362, 593, 519, 1426, 5832, 899, 16385, 543, 20910, 563, 763, 570, 550, 8163, 8858, 693, 519, 8053, 699, 344, 7345, 13985, 10740, 3568, 1082, 2249, 540, 524, 31525, 641, 16104, 689, 12084, 1472, 519, 1158, 269, 595, 31525, 641, 16104, 1331, 4239, 22455, 267, 8293, 573, 267, 12338, 1479, 8127, 267, 543, 715, 2246, 559, 639, 269, 3509, 2249, 538, 713, 8858, 723, 2760, 1044, 593, 4159, 1354, 563, 296, 993, 513, 524, 31525, 641, 617, 24158, 269, 594, 723, 1256, 6026, 513, 2699, 12354, 22455, 547, 1930, 513, 20220, 547, 1205, 2661, 1426, 3330, 256, 1924, 594, 729, 4278, 2683, 547, 1294, 2249, 594, 723, 2760, 2938, 538, 1268, 1354, 267, 2523, 519, 654, 8974, 16476, 543, 8262, 21129, 24035, 8293, 573, 563, 296, 4682, 593, 513, 11112, 14349, 12784, 593, 4989, 476, 2918, 267, 476, 1001, 275, 267, 543, 519, 1739, 568, 519, 2249, 1592, 602, 1554, 269, 634, 16983, 568, 2469, 547, 4268, 519, 2249, 1592, 1282, 570, 550, 8163, 685, 2196, 4470, 593, 8244, 269, 594, 4941, 547, 2689, 519, 2898, 8858, 1317, 594, 729, 18516, 952, 594, 1131, 581, 2111, 547, 1294, 1142, 524, 32397, 593, 8858, 2016, 602, 789, 616, 18544, 540, 24320, 1047, 267, 543, 1082, 616, 21183, 269, 594, 993, 6126, 547, 1867, 594, 4718, 606, 3662, 693, 1142, 8858, 2336, 763, 1101, 7382, 540, 519, 8858, 568, 519, 8262, 21129, 24035, 8293, 573, 269, 1358, 616, 24428, 1927, 538, 513, 1804, 7382, 609, 1082, 2695, 573, 7298, 693, 2899, 269, 1358, 616, 835, 540, 519, 1906, 2249, 540, 2695, 573, 602, 899, 547, 1153, 269, 1358, 1153, 547, 18174, 11975, 883, 3206, 602, 789, 616, 8273, 269, 1358, 941, 4657, 4778, 267, 543, 741, 856, 516, 3737, 17895, 8163, 6743, 4712, 547, 10880, 1022, 4090, 2336, 12441, 596, 917, 2695, 573, 543, 2759, 1479, 8127, 723, 476, 279, 7916, 610, 7953, 267, 543, 476, 273, 1279, 8630, 6438, 17895, 8163, 602, 10880, 856, 547, 7001, 741, 6980, 888, 763, 1985, 7382, 729, 519, 4303, 4239, 22455, 7382, 269, 901, 524, 32397, 729, 519, 23698, 547, 1265, 538, 782, 519, 15225, 269, 2334, 779, 513, 3787, 4401, 545, 607, 621, 568, 9277, 547, 581, 3742, 1282, 519, 1554, 267, 1247, 1034, 824, 524, 31525, 641, 16104, 616, 3742, 693, 3781, 256, 594, 4718, 851, 540, 922, 3043, 1560, 543, 3750, 6456, 538, 519, 11818, 7725, 563, 763, 5863, 654, 8974, 16476, 729, 1985, 269, 901, 568, 606, 5863, 12354, 22455, 602, 2242, 1106, 547, 17932, 824, 20715, 7068, 267, 1519, 513, 17794, 8127, 267, 6512, 539, 6852, 267, 543, 513, 4262, 13131, 269, 898, 729, 3742, 543, 17875, 1782, 2059, 519, 6885, 865, 594, 1223, 1294, 922, 9207, 728, 540, 29186, 619, 543, 5023, 563, 763, 4414, 4239, 22455, 568, 1455, 547, 8053, 699, 344, 7345, 543, 824, 4411, 4525, 540, 519, 5836, 269, 901, 835, 729, 25805, 543, 729, 17875, 1782, 2059, 519, 6885, 563, 2467, 616, 476, 273, 13688, 540, 27951, 7414, 4239, 22455, 269, 5637, 941, 2695, 1639, 883, 519, 5580, 1318, 6885, 7944, 269, 2290, 729, 4628, 7298, 267, 543, 519, 824, 1152, 1185, 930, 29186, 619, 6029, 269, 2142, 6297, 1934, 267, 607, 621, 568, 4158, 543, 1004, 3362, 2196, 883, 1142, 824, 269, 634, 4102, 6592, 13382, 302, 729, 476, 1724, 3952, 630, 275, 7397, 264, 1279, 2336, 296, 729, 14281, 519, 932, 3711, 1229, 715, 2246, 559, 639, 7382, 729, 865, 1804, 543, 2407, 540, 19421, 540, 562, 2246, 559, 639, 269, 594, 723, 2760, 2938, 865, 1082, 693, 2899, 269, 594, 849, 10093, 1406, 2938, 873, 12758, 547, 519, 3366, 2471, 538, 519, 8858, 1354, 563, 296, 2648, 519, 4469, 3711, 1195, 656, 12338, 1479, 8127, 267, 621, 568, 4502, 4466, 513, 3381, 827, 873, 269, 594, 723, 2938, 930, 1354, 693, 23415, 28496, 13985, 10740, 693, 519, 4993, 9142, 540, 7070, 1141, 789, 941, 538, 513, 7382, 602, 4769, 1406, 8267, 332, 873, 269, 3371, 267, 519, 7382, 729, 1454, 1932, 1804, 543, 519, 6279, 1279, 2759, 1479, 8127, 3893, 4503, 538, 519, 7382, 269, 1358, 941, 7298, 267, 1498, 621, 3576, 1034, 1004, 1659, 327, 850, 547, 5544, 873, 269, 1879, 789, 616, 9599, 267, 741, 4778, 616, 30642, 267, 543, 741, 1166, 4770, 7575, 899, 513, 6655, 518, 12966, 2059, 741, 1560, 269, 1358, 849, 616, 1634, 585, 968, 19769, 532, 892, 2066, 519, 4262, 6989, 563, 296, 1185, 2760, 2938, 513, 853, 17056, 12338, 1479, 8127, 269, 1358, 941, 1507, 267, 1152, 513, 1906, 6279, 1279, 267, 543, 789, 941, 31491, 3042, 543, 15720, 538, 519, 11818, 7725, 269, 1358, 941, 11593, 7298, 1498, 563, 763, 2063, 7382, 729, 585, 519, 5871, 12338, 1479, 8127, 267, 513, 2249, 594, 723, 3144, 1416, 540, 1354, 269, 2290, 2759, 1479, 8127, 1256, 18417, 9575, 1250, 1688, 538, 741, 17895, 8163, 2899, 256, 1703, 941, 19421, 693, 519, 968, 322, 1393, 892, 2450, 540, 476, 274, 268, 275, 6279, 1279, 269, 1358, 941, 13735, 2282, 519, 16995, 4262, 6371, 267, 543, 519, 3283, 12617, 896, 519, 5070, 941, 7298, 547, 8436, 563, 2005, 729, 865, 11112, 519, 1554, 594, 729, 972, 602, 594, 4769, 1406, 1224, 1360, 1082, 4191, 267, 610, 3247, 547, 2972, 519, 11247, 267, 930, 540, 621, 2813, 1175, 585, 713, 8858, 269, 15788, 594, 2285, 519, 8858, 606, 589, 266, 269, 634, 570, 550, 8163, 8858, 568, 4502, 519, 7552, 547, 8053, 699, 344, 267, 2523, 585, 524, 31525, 641, 617, 18798, 256, 0, 763, 9891, 3590, 4646, 476, 275, 269, 277, 5479, 1296, 3516, 689, 519, 14965, 12900, 540, 513, 9649, 7636, 6531, 269, 634, 5318, 5354, 540, 519, 1062, 781, 2527, 568, 538, 519, 6129, 267, 609, 1034, 540, 519, 6967, 2527, 8659, 538, 18347, 269, 634, 2185, 4130, 6418, 10785, 267, 22358, 267, 19026, 267, 3047, 543, 9370, 267, 849, 1572, 519, 18714, 10785, 267, 616, 5097, 7768, 540, 4224, 543, 4496, 269, 634, 2185, 9018, 10785, 267, 1572, 519, 3154, 23766, 267, 616, 15186, 811, 7372, 982, 519, 1768, 516, 1598, 10118, 563, 1607, 3774, 17549, 1138, 12885, 519, 3859, 1062, 609, 8370, 10785, 269, 1411, 949, 2824, 689, 5216, 1114, 10080, 269, 28161, 513, 14421, 6048, 4974, 519, 26124, 3141, 543, 519, 3154, 23766, 609, 713, 2661, 3859, 10739, 3774, 17549, 269, 898, 568, 711, 1175, 513, 1906, 5961, 855, 606, 5863, 15914, 543, 2847, 6295, 3859, 1062, 593, 707, 6049, 269, 634, 1655, 3020, 476, 274, 291, 3859, 1062, 2661, 3774, 17549, 585, 707, 543, 5514, 6049, 267, 711, 21236, 2189, 15042, 269, 634, 10785, 538, 741, 9757, 25057, 1472, 519, 3141, 3294, 568, 849, 18343, 267, 2706, 3766, 5282, 334, 454, 2080, 616, 930, 540, 519, 1919, 596, 786, 1451, 538, 519, 834, 23530, 5295, 257, 552, 26247, 799, 666, 948, 596, 8275, 1175, 875, 9891, 6052, 666, 4324, 596, 543, 519, 1604, 281, 25699, 265, 15253, 7859, 540, 513, 11822, 9891, 5295, 3590, 1862, 25699, 265, 19119, 540, 9891, 5295, 1862, 25699, 265, 23530, 5295, 5303, 1862, 25699, 265, 308, 4513, 540, 9891, 26365, 6052, 1862, 25699, 265, 20360, 5295, 1656, 4033, 17796, 540, 6052, 1862, 25699, 265, 23530, 1656, 6489, 6052, 12305, 566, 1862, 25699, 265, 17843, 9891, 6052, 15733, 1862, 25699, 265, 13328, 781, 5440, 9891, 14992, 1862, 25699, 265, 3963, 7767, 538, 9891, 6052, 14992, 2483, 308, 8976, 302, 476, 274, 29376, 2464, 674, 3008, 9898, 8863, 2752, 12283, 8946, 3198, 744, 8025, 2207, 27107, 298, 4953, 6673, 4916, 9891, 23996, 932, 24147, 3096, 519, 11436, 1769, 9300, 547, 5279, 707, 6007, 269, 3807, 513, 1906, 3764, 538, 519, 1769, 543, 596, 786, 1294, 707, 6007, 1377, 2810, 269, 14568, 982, 824, 3859, 12123, 8924, 538, 519, 2344, 269, 2422, 995, 950, 596, 798, 711, 723, 707, 5279, 693, 1688, 269, 9891, 8440, 946, 1769, 1648, 22726, 689, 519, 3141, 547, 5352, 5201, 998, 519, 25675, 1198, 563, 26670, 766, 519, 1413, 540, 707, 3926, 781, 5851, 5496, 543, 1205, 7759, 540, 19309, 3774, 17549, 609, 713, 31042, 2661, 3774, 17549, 269, 1323, 25819, 540, 1164, 2298, 9682, 2592, 799, 1397, 938, 3859, 1062, 267, 10785, 267, 6801, 267, 635, 1115, 543, 21272, 540, 519, 9018, 2230, 786, 1118, 596, 1616, 547, 2132, 547, 707, 5851, 5496, 7683, 256, 1215, 547, 5512, 281, 12305, 519, 3498, 269, 7043, 7148, 693, 1292, 5496, 543, 2824, 547, 1689, 707, 3774, 17549, 269, 8564, 14970, 9931, 335, 3639, 269, 24135, 543, 1305, 9891, 3590, 14970, 9931, 17549, 269, 0, 30238, 18143, 5836, 2762, 12267, 454, 1103, 1840, 547, 3246, 12062, 543, 1373, 606, 1271, 851, 540, 513, 7286, 5117, 267, 14147, 18625, 666, 849, 4196, 607, 513, 2594, 540, 1279, 3856, 2242, 547, 519, 5117, 563, 10890, 13510, 10152, 2593, 13847, 513, 2689, 540, 744, 10895, 1325, 633, 267, 513, 13149, 24695, 339, 25762, 7110, 602, 14767, 547, 9594, 519, 1646, 540, 1007, 2281, 676, 3246, 519, 1560, 609, 936, 513, 4627, 1898, 454, 288, 1007, 1382, 1353, 9256, 7286, 17550, 267, 23798, 267, 14278, 1108, 267, 543, 8965, 6530, 814, 7000, 513, 9670, 6364, 689, 4679, 540, 3327, 8166, 19718, 538, 519, 12084, 281, 14221, 3165, 563, 17206, 540, 16127, 693, 2494, 10394, 12213, 3330, 519, 10565, 1016, 335, 6897, 535, 329, 3581, 540, 19778, 267, 3173, 689, 519, 2160, 540, 11316, 262, 328, 693, 631, 5953, 7224, 320, 723, 4362, 606, 6397, 11606, 543, 4763, 693, 519, 13837, 331, 3233, 269, 4438, 513, 2487, 16939, 267, 772, 295, 3744, 585, 519, 1101, 942, 6594, 519, 13837, 331, 3233, 2950, 540, 27224, 13856, 535, 329, 3581, 2059, 519, 7178, 21303, 18686, 267, 513, 3148, 18460, 1360, 4028, 2916, 8337, 269, 634, 3744, 4397, 547, 1265, 791, 1478, 1639, 13837, 331, 3233, 2950, 3810, 2483, 6097, 547, 1007, 2090, 267, 7286, 561, 1872, 19095, 543, 824, 4262, 7068, 616, 6534, 547, 5739, 6464, 950, 789, 3824, 652, 6263, 11353, 540, 7286, 5068, 563, 1103, 513, 2101, 1007, 3486, 1867, 267, 4966, 9959, 602, 519, 23639, 540, 519, 1158, 781, 5836, 949, 2333, 676, 1472, 476, 10204, 260, 676, 519, 1439, 540, 519, 2540, 8744, 1713, 2804, 9271, 563, 4537, 2033, 5760, 320, 1564, 13847, 513, 2689, 540, 744, 10895, 1325, 633, 676, 27950, 18412, 267, 835, 540, 519, 1283, 9513, 2706, 3536, 593, 519, 5769, 602, 3568, 7366, 540, 1898, 5567, 543, 811, 982, 476, 10844, 10250, 6886, 563, 6097, 547, 519, 8419, 12551, 543, 13812, 3194, 4659, 538, 853, 269, 22642, 7921, 267, 519, 1297, 540, 812, 622, 324, 7972, 538, 476, 1001, 274, 814, 2907, 6603, 513, 2594, 1164, 540, 476, 278, 7597, 28896, 543, 972, 616, 1869, 1079, 3275, 2451, 547, 979, 538, 519, 1032, 563, 288, 1007, 1353, 7710, 9979, 540, 21297, 8127, 2623, 543, 875, 789, 9305, 547, 2620, 6172, 12519, 2175, 563, 13828, 786, 1865, 519, 2956, 9591, 513, 5001, 1062, 540, 7286, 6870, 2127, 269, 5842, 12770, 267, 11404, 630, 11266, 25446, 289, 264, 5239, 476, 2420, 267, 476, 1001, 274, 18270, 730, 7286, 454, 302, 4117, 3679, 2305, 568, 519, 2012, 602, 729, 2016, 547, 519, 5571, 6175, 538, 519, 9063, 540, 3047, 779, 12084, 267, 513, 2014, 540, 519, 19718, 540, 27643, 3327, 8166, 689, 519, 5790, 269, 6168, 476, 1789, 547, 476, 2412, 2600, 540, 519, 3327, 8166, 602, 568, 5950, 676, 3425, 883, 519, 5790, 4744, 11510, 883, 519, 12647, 267, 12084, 267, 543, 8933, 269, 1677, 2226, 519, 3114, 11466, 267, 930, 540, 621, 23465, 609, 519, 1216, 547, 1711, 3327, 545, 3679, 269, 2368, 540, 891, 3063, 3327, 545, 3679, 6675, 2746, 609, 513, 1216, 11140, 547, 1683, 513, 2483, 288, 2892, 335, 568, 513, 22902, 11057, 267, 1863, 1922, 5979, 908, 7113, 6510, 630, 1415, 2713, 11248, 799, 814, 513, 5485, 3697, 1560, 20583, 538, 513, 5394, 9245, 610, 7113, 545, 609, 1079, 23761, 610, 521 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 31753, 28367, 693, 476, 4817, 260, 6015, 563, 288, 2698, 540, 476, 25971, 2550, 896, 476, 276, 1296, 2025, 609, 513, 21483, 5868, 540, 645, 269, 476, 1068, 1380, 529, 941, 6594, 23524, 893, 569, 585, 1808, 1696, 8344, 8446, 269, 2859, 982, 476, 3199, 260, 540, 938, 1353, 2551, 941, 12256, 1063, 476, 272, 547, 476, 276, 3275, 2025, 609, 513, 5594, 2362, 1297, 540, 9038, 630, 6321, 269, 274, 22103, 634, 1895, 540, 12256, 1063, 476, 3066, 2395, 1107, 476, 273, 3275, 6040, 630, 2767, 269, 275, 8472, 543, 519, 1895, 1063, 476, 274, 543, 476, 276, 3275, 6040, 630, 2767, 269, 275, 8472, 941, 519, 1034, 12880, 267, 5702, 4553, 676, 519, 1895, 1063, 476, 273, 543, 476, 274, 3275, 6040, 630, 2918, 269, 275, 8472, 630, 21206, 3758, 476, 272, 281, 7305, 590, 272, 1916, 5804, 938, 3105, 1353, 267, 476, 14093, 2665, 540, 645, 867, 564, 7578, 14866, 1380, 529, 941, 9672, 3842, 19738, 267, 6028, 5732, 476, 6795, 260, 540, 5439, 1510, 1696, 8344, 8446, 269, 4935, 267, 782, 476, 25971, 941, 9916, 585, 519, 4527, 540, 14118, 27833, 5025, 630, 31880, 5025, 1070, 14118, 27833, 5174, 630, 31880, 5174, 1070, 19954, 309, 5025, 267, 19954, 309, 5174, 267, 1520, 523, 21552, 630, 4696, 309, 1070, 3474, 664, 22381, 27833, 476, 272, 3644, 630, 303, 4353, 268, 272, 1070, 3474, 664, 22381, 27833, 476, 273, 3644, 630, 303, 4353, 268, 273, 1070, 3474, 664, 22381, 27833, 476, 274, 3644, 630, 303, 4353, 268, 274, 1070, 29901, 21182, 2742, 16415, 324, 543, 932, 31779, 807, 16415, 324, 269, 634, 1034, 1455, 19800, 9678, 729, 1520, 523, 21552, 693, 476, 5392, 260, 630, 15221, 270, 25971, 1070, 4553, 676, 645, 867, 564, 7578, 14866, 1380, 529, 693, 476, 6078, 260, 630, 14093, 270, 25971, 1070, 29901, 21182, 2742, 16415, 693, 476, 2918, 260, 630, 4037, 270, 25971, 264, 543, 12071, 5174, 693, 476, 866, 269, 279, 260, 630, 6872, 270, 25971, 264, 630, 21206, 3758, 476, 272, 281, 7305, 590, 272, 5025, 1040, 634, 8446, 540, 891, 11763, 8069, 814, 1500, 621, 2009, 547, 3715, 26526, 602, 11777, 2739, 687, 941, 1459, 693, 476, 6812, 260, 630, 15757, 270, 25971, 264, 540, 2550, 269, 4935, 267, 2665, 540, 3968, 1813, 547, 513, 2582, 11763, 8665, 941, 476, 2764, 269, 279, 260, 630, 3199, 270, 25971, 1070, 543, 1141, 519, 4527, 540, 5084, 309, 729, 476, 1015, 269, 273, 260, 630, 1839, 270, 3199, 264, 543, 585, 645, 269, 14866, 1380, 529, 729, 476, 280, 269, 279, 260, 630, 2190, 270, 3199, 1070, 4553, 676, 631, 269, 16415, 324, 609, 476, 277, 269, 272, 260, 630, 1428, 270, 3199, 1040, 5015, 267, 519, 9860, 540, 891, 11763, 8069, 941, 19017, 538, 1453, 896, 476, 276, 3275, 540, 2085, 630, 21206, 3758, 476, 272, 281, 7305, 590, 272, 5174, 1916, 2026, 8612, 1657, 267, 538, 7783, 1453, 630, 26316, 2665, 264, 11777, 2739, 687, 1796, 856, 14320, 630, 21206, 3758, 476, 273, 281, 7305, 590, 273, 1040, 634, 11777, 2739, 687, 1336, 4125, 476, 273, 547, 476, 277, 1114, 11763, 8069, 267, 1373, 519, 1034, 7928, 519, 11777, 2739, 687, 540, 476, 273, 8069, 609, 476, 4375, 269, 277, 260, 630, 9032, 270, 26316, 264, 543, 1346, 5473, 476, 274, 8069, 609, 4908, 540, 476, 2537, 269, 273, 260, 630, 6872, 270, 26316, 1040, 634, 1034, 7928, 7681, 729, 519, 9190, 8686, 12637, 1071, 26529, 267, 543, 519, 4999, 1063, 645, 867, 564, 7578, 268, 4696, 309, 543, 29901, 21182, 2742, 268, 4696, 309, 941, 519, 1034, 1455, 9525, 4080, 609, 476, 1321, 269, 273, 260, 630, 1789, 270, 26316, 264, 586, 476, 277, 269, 276, 260, 630, 1626, 270, 26316, 1070, 6606, 269, 1717, 267, 519, 645, 867, 564, 7578, 5336, 26338, 21182, 2742, 7681, 729, 1360, 4389, 630, 21206, 3758, 476, 273, 281, 7305, 590, 273, 1070, 769, 1840, 267, 621, 568, 4277, 547, 4063, 602, 519, 12205, 538, 11777, 2739, 687, 2333, 519, 4908, 540, 11763, 8069, 971, 607, 932, 31779, 807, 267, 12071, 5174, 543, 19954, 309, 5025, 607, 4767, 538, 16952, 3758, 476, 272, 281, 7305, 590, 272, 630, 4818, 732, 476, 272, 288, 609, 476, 272, 289, 1916, 8802, 8973, 12674, 4567, 267, 476, 4792, 269, 1839, 260, 630, 6507, 270, 14093, 264, 540, 519, 2318, 2665, 941, 796, 341, 3147, 3990, 269, 1717, 267, 519, 5354, 540, 891, 1453, 630, 2412, 270, 6507, 264, 941, 896, 1079, 3275, 540, 2085, 269, 1323, 7164, 18764, 4567, 729, 4767, 538, 476, 276, 269, 11152, 260, 630, 278, 270, 14093, 264, 540, 2550, 2318, 585, 645, 269, 14866, 1380, 529, 269, 589, 6825, 6175, 729, 4767, 538, 1453, 945, 1185, 4607, 693, 2547, 835, 9570, 540, 12674, 267, 609, 513, 9860, 540, 476, 1240, 269, 5038, 260, 630, 2420, 270, 14093, 264, 630, 21206, 3758, 476, 274, 281, 7305, 590, 274, 1916, 1103, 938, 2551, 267, 519, 1034, 1455, 4791, 2589, 10805, 693, 16075, 941, 13481, 630, 5325, 269, 273, 15992, 945, 14563, 630, 5379, 269, 276, 8472, 543, 26032, 540, 7362, 630, 6246, 269, 272, 15992, 4553, 676, 8611, 630, 3374, 269, 275, 8472, 543, 19826, 2670, 630, 2764, 269, 279, 22103, 589, 2647, 3262, 3892, 540, 2589, 3892, 729, 4767, 950, 2550, 2589, 941, 14350, 12290, 1759, 593, 1696, 8344, 1895, 269, 8307, 476, 277, 13596, 1185, 2589, 602, 941, 1459, 538, 811, 982, 476, 2004, 260, 540, 1142, 1895, 269, 1280, 1383, 267, 13481, 729, 811, 4122, 4080, 1851, 1453, 609, 12071, 5025, 267, 19954, 309, 5025, 267, 3474, 664, 22381, 27833, 268, 272, 543, 645, 269, 14866, 1380, 529, 630, 21206, 3758, 476, 275, 281, 7305, 590, 275, 5025, 1040, 1717, 267, 519, 7411, 538, 9591, 2312, 4791, 2589, 2404, 609, 11763, 21465, 8069, 568, 1813, 547, 519, 1164, 4908, 540, 11777, 2739, 687, 269, 4475, 267, 16952, 3758, 476, 275, 281, 7305, 590, 275, 5174, 814, 6592, 519, 4791, 2589, 540, 2665, 540, 3968, 609, 513, 2582, 8665, 267, 543, 519, 7681, 540, 891, 4791, 2589, 616, 3254, 538, 8431, 269, 476, 273, 269, 4935, 267, 513, 2312, 1875, 12431, 27937, 666, 581, 4767, 1063, 29901, 21182, 2742, 543, 12071, 5174, 267, 5084, 309, 610, 645, 867, 564, 7578, 282, 519, 1482, 4523, 585, 12071, 5174, 543, 645, 867, 564, 7578, 610, 5084, 309, 269, 901, 1875, 12431, 27937, 1797, 602, 519, 1152, 11763, 8665, 1223, 581, 4857, 2921, 883, 2272, 519, 4791, 2589, 540, 519, 1453, 607, 3254, 538, 16952, 3758, 476, 275, 281, 7305, 590, 275, 5174, 563, 763, 1034, 1455, 8374, 941, 8650, 19357, 658, 30126, 6794, 630, 5723, 5308, 264, 543, 16415, 538, 476, 6321, 269, 277, 543, 476, 2764, 269, 272, 260, 540, 938, 2551, 6606, 269, 9474, 5308, 729, 519, 1034, 7928, 8374, 1851, 2550, 609, 2318, 5439, 585, 19954, 309, 5025, 267, 12071, 5025, 267, 5084, 309, 267, 631, 269, 16415, 324, 267, 595, 269, 16415, 324, 543, 645, 269, 14866, 1380, 529, 269, 630, 21206, 3758, 476, 276, 281, 7305, 590, 276, 5025, 1040, 1717, 267, 950, 519, 8374, 540, 1453, 4299, 676, 513, 2582, 11763, 8665, 616, 9916, 267, 621, 568, 5693, 7152, 602, 9474, 5308, 568, 849, 513, 28658, 540, 12071, 5174, 269, 769, 1840, 267, 621, 568, 29810, 602, 9474, 5308, 4386, 538, 476, 8618, 260, 630, 1839, 270, 6078, 264, 540, 519, 2942, 2665, 630, 21206, 3758, 476, 276, 281, 7305, 590, 276, 5174, 1916, 7661, 267, 513, 12119, 3892, 729, 4330, 585, 1142, 1808, 2890, 6716, 1143, 269, 15474, 5439, 585, 5084, 309, 543, 29901, 21182, 2742, 16415, 324, 941, 4767, 2066, 519, 2898, 1353, 1974, 269, 2201, 519, 14669, 267, 1034, 540, 519, 645, 269, 14866, 1380, 529, 2665, 941, 9571, 689, 2904, 476, 1001, 272, 547, 4728, 476, 1001, 273, 269, 19954, 309, 5025, 543, 932, 31779, 807, 941, 6140, 9571, 689, 4728, 547, 2904, 476, 1001, 271, 282, 2705, 267, 519, 1482, 3892, 729, 711, 4767, 538, 519, 1739, 1032, 630, 8993, 269, 476, 274, 1916, 2752, 3674, 607, 519, 1034, 1455, 2014, 540, 24896, 543, 9019, 538, 1453, 267, 6967, 513, 2101, 6161, 267, 2523, 7133, 1453, 896, 476, 276, 1296, 2025, 689, 1970, 13867, 2477, 1496, 272, 267, 273, 267, 274, 267, 275, 4940, 10251, 267, 1344, 3823, 741, 27496, 568, 1869, 3908, 538, 18475, 1496, 278, 267, 476, 1556, 14073, 1103, 2487, 1296, 267, 972, 814, 1044, 2963, 540, 14866, 1380, 529, 32134, 538, 5824, 3013, 267, 5103, 519, 4367, 540, 519, 6669, 1496, 1691, 267, 476, 2767, 267, 476, 2764, 4940, 901, 24059, 568, 3810, 21380, 543, 2205, 12040, 267, 827, 3368, 540, 519, 7783, 1453, 896, 835, 1032, 540, 945, 14563, 11522, 2154, 30674, 269, 769, 18475, 267, 519, 3084, 31331, 1982, 14721, 8651, 519, 5916, 20008, 10052, 550, 6669, 630, 7894, 307, 267, 670, 341, 289, 267, 670, 756, 264, 693, 476, 273, 267, 476, 275, 267, 476, 277, 3275, 609, 12927, 906, 693, 476, 1240, 3275, 543, 476, 275, 1296, 1496, 3066, 267, 476, 1789, 4940, 4935, 267, 649, 5342, 513, 3105, 1353, 593, 3131, 12320, 1014, 1453, 609, 513, 21483, 5868, 540, 623, 1068, 1380, 529, 543, 4080, 513, 645, 867, 564, 7578, 14866, 1380, 529, 9860, 540, 476, 4375, 269, 276, 260, 1547, 1717, 267, 519, 8106, 6881, 540, 14866, 1380, 529, 814, 8810, 547, 581, 711, 2614, 547, 3035, 513, 17046, 5868, 543, 8047, 4255, 616, 540, 519, 25932, 2956, 585, 1696, 8344, 21533, 547, 2057, 936, 10972, 1725, 2670, 1496, 2764, 267, 476, 4029, 267, 476, 3953, 4940, 769, 519, 1769, 540, 2009, 11777, 2739, 687, 543, 811, 982, 476, 2568, 260, 540, 2550, 1510, 606, 1696, 8344, 8446, 538, 938, 3105, 1353, 267, 649, 5342, 513, 1007, 3102, 2079, 547, 3713, 10194, 543, 693, 2988, 673, 9190, 1696, 328, 3098, 538, 782, 938, 2550, 563, 5804, 513, 2698, 540, 476, 25971, 5439, 9916, 689, 1453, 896, 476, 276, 1296, 2025, 609, 513, 21483, 5868, 540, 623, 1068, 1380, 529, 267, 519, 1034, 1455, 19800, 9678, 729, 5084, 309, 538, 476, 5392, 260, 540, 5439, 267, 4553, 676, 645, 269, 14866, 1380, 529, 538, 476, 6078, 260, 689, 938, 3105, 2079, 269, 4014, 713, 1353, 729, 5342, 538, 2550, 609, 589, 6020, 609, 513, 3810, 19035, 14866, 1380, 529, 5868, 267, 824, 2090, 593, 1453, 609, 589, 6020, 723, 4857, 5084, 309, 607, 835, 540, 519, 1034, 11342, 1696, 328, 3098, 476, 4014, 267, 519, 10194, 543, 9190, 9860, 949, 4268, 4922, 4470, 593, 519, 2551, 4162, 1496, 279, 267, 476, 3451, 267, 476, 4097, 14073, 19950, 5944, 267, 938, 2551, 941, 1453, 609, 513, 3810, 19035, 4791, 5868, 540, 14866, 1380, 529, 543, 5103, 602, 945, 14563, 729, 1459, 538, 476, 5379, 269, 276, 260, 540, 2550, 267, 5084, 309, 729, 519, 1034, 1455, 1696, 5735, 9678, 269, 5015, 267, 513, 1390, 1297, 540, 2550, 609, 5084, 309, 3968, 4843, 609, 4791, 2589, 1360, 1455, 1851, 2550, 609, 14866, 1380, 529, 971, 607, 945, 14563, 630, 7906, 269, 272, 15992, 26032, 540, 7362, 630, 6246, 269, 275, 8472, 543, 13481, 630, 5325, 269, 276, 22103, 6684, 267, 513, 2487, 1353, 814, 4080, 602, 16063, 2589, 543, 7411, 7244, 616, 1851, 519, 1034, 1455, 1826, 540, 14245, 538, 1453, 1547, 3958, 267, 5084, 309, 814, 1044, 13840, 4857, 607, 513, 2101, 2014, 540, 14866, 1380, 529, 6438, 6794, 267, 799, 2164, 538, 519, 10171, 540, 513, 14866, 1380, 529, 3765, 10972, 1725, 2670, 538, 519, 9000, 540, 8047, 21533, 1496, 3607, 267, 4391, 267, 4343, 4940, 769, 713, 1259, 267, 649, 723, 3254, 602, 2550, 609, 3968, 676, 5084, 309, 543, 645, 269, 13630, 1380, 529, 607, 513, 2582, 11763, 8665, 723, 2147, 2589, 630, 8993, 269, 476, 272, 1916, 2005, 568, 849, 1271, 547, 5031, 519, 4527, 540, 29901, 21182, 2742, 16415, 324, 630, 2918, 8472, 543, 932, 31779, 807, 16415, 324, 630, 1704, 269, 278, 8472, 1851, 938, 2550, 269, 769, 513, 3105, 1353, 267, 538, 1453, 609, 8121, 3674, 267, 649, 4080, 513, 1360, 2147, 9860, 540, 29901, 21182, 2742, 16415, 324, 543, 932, 31779, 807, 16415, 324, 538, 476, 1839, 269, 273, 543, 476, 1015, 269, 276, 9077, 6606, 1547, 23227, 908, 519, 1164, 9860, 540, 891, 693, 2988, 673, 4551, 1851, 3131, 12320, 1014, 1453, 609, 8121, 3674, 269, 3776, 2164, 689, 713, 1699, 1353, 849, 1118, 29810, 602, 4791, 19183, 676, 29901, 21182, 2742 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7040, 10288, 519, 2013, 547, 1847, 4464, 563, 16449, 519, 22168, 13643, 262, 27192, 3769, 729, 3933, 3821, 10197, 31582, 267, 513, 5449, 6519, 5600, 2028, 267, 945, 10645, 547, 723, 1185, 513, 4638, 2078, 609, 519, 7022, 563, 5141, 15586, 5795, 513, 2220, 1941, 18254, 538, 5130, 476, 1960, 279, 27102, 2348, 1185, 4638, 1894, 609, 10197, 31582, 269, 10815, 982, 1079, 4374, 2663, 267, 1310, 3377, 540, 519, 29317, 13264, 15597, 267, 22735, 9619, 519, 31482, 538, 513, 751, 4582, 2213, 2232, 547, 519, 4182, 267, 1141, 646, 9738, 1010, 26454, 563, 19285, 1705, 711, 723, 4638, 1894, 609, 602, 4807, 267, 7323, 10197, 31582, 2437, 22735, 1767, 563, 4913, 267, 538, 7148, 539, 6264, 21139, 21981, 538, 4864, 476, 1960, 279, 267, 22735, 15861, 602, 646, 9364, 1185, 606, 834, 574, 27393, 2168, 2078, 257, 609, 10197, 31582, 269, 769, 513, 751, 4582, 2213, 4633, 547, 519, 4182, 267, 519, 7022, 15861, 602, 1010, 2078, 609, 519, 5449, 2028, 729, 834, 2254, 3617, 4799, 16729, 519, 5437, 476, 1960, 279, 9550, 267, 519, 14891, 5428, 729, 538, 519, 12102, 538, 1312, 519, 2475, 5600, 543, 519, 2475, 14130, 269, 11374, 22735, 781, 23504, 267, 2614, 2818, 540, 519, 5600, 5462, 602, 22735, 781, 7301, 21981, 543, 829, 329, 1722, 11341, 547, 519, 13643, 27779, 941, 30664, 778, 762, 1055, 5151, 563, 288, 14130, 4693, 1996, 22735, 7036, 539, 593, 3967, 269, 476, 278, 267, 476, 1960, 280, 267, 609, 2475, 10966, 7040, 12751, 10456, 5261, 1234, 18255, 638, 626, 1095, 4575, 269, 634, 4693, 3576, 1747, 936, 1454, 540, 519, 3923, 540, 5130, 543, 519, 1101, 3018, 540, 5988, 563, 5475, 14656, 7440, 267, 593, 4924, 269, 476, 280, 267, 1310, 519, 14130, 20366, 1996, 1857, 18064, 3130, 267, 519, 1560, 3459, 547, 20982, 22735, 781, 12556, 3297, 6806, 9885, 563, 4002, 4924, 269, 476, 1321, 267, 519, 14130, 7153, 547, 8917, 267, 6038, 13359, 1996, 9427, 22735, 689, 5604, 563, 24359, 28714, 16777, 4696, 299, 2562, 2464, 1923, 0, 5472, 21544, 595, 965, 1107, 11137, 454, 2304, 13027, 11522, 568, 513, 2165, 4122, 1031, 547, 4766, 513, 3514, 540, 23472, 3361, 676, 11959, 269, 901, 4386, 8195, 950, 513, 3461, 568, 6534, 547, 13027, 6878, 543, 949, 849, 2049, 950, 519, 1268, 568, 7092, 689, 513, 1455, 4411, 610, 606, 13027, 5114, 269, 9615, 540, 971, 3413, 997, 5406, 666, 3362, 581, 3177, 676, 513, 4937, 10629, 610, 606, 4810, 12963, 1014, 563, 306, 19434, 543, 1647, 1274, 5563, 6140, 13173, 606, 13027, 11522, 269, 1452, 616, 2808, 607, 9940, 2360, 2864, 982, 1463, 2589, 269, 634, 1034, 1455, 2589, 602, 616, 7298, 1282, 606, 13027, 11522, 568, 602, 621, 666, 2063, 585, 607, 1279, 607, 519, 11959, 616, 1459, 538, 519, 1560, 543, 519, 4191, 616, 3622, 7525, 607, 4166, 607, 519, 3461, 568, 6534, 547, 11959, 563, 2467, 616, 513, 3099, 540, 4128, 602, 1267, 538, 13027, 11522, 3123, 269, 898, 568, 606, 936, 516, 716, 532, 4761, 1062, 547, 1978, 6878, 799, 3123, 606, 14711, 538, 519, 1560, 540, 519, 3461, 269, 634, 1739, 616, 519, 3123, 540, 971, 606, 3413, 997, 5406, 912, 268, 3683, 22529, 633, 4761, 1062, 454, 268, 2637, 13443, 10299, 7592, 454, 268, 3465, 775, 540, 6784, 523, 454, 268, 589, 5305, 540, 1277, 8533, 538, 519, 1560, 454, 268, 27190, 2586, 4761, 3210, 547, 20027, 6878, 454, 2304, 13027, 11522, 11285, 814, 513, 3099, 540, 2081, 547, 13209, 971, 3413, 12787, 687, 609, 8897, 269, 589, 2960, 533, 4459, 1449, 949, 581, 5340, 676, 513, 2489, 10629, 547, 3313, 519, 3178, 540, 519, 1966, 563, 21675, 585, 13027, 11522, 949, 4268, 4470, 593, 922, 1826, 543, 8515, 269, 13575, 267, 6527, 971, 607, 4550, 7290, 8533, 267, 1232, 784, 652, 1218, 267, 543, 17725, 28335, 949, 581, 11311, 563, 23804, 513, 1126, 3249, 11285, 543, 3478, 519, 1318, 2126, 814, 2760, 1044, 4443, 269, 2060, 544, 325, 710, 267, 596, 666, 3406, 543, 5077, 609, 1283, 12963, 2103, 2282, 596, 269, 0, 19340, 539, 593, 281, 476, 1626, 4924, 1412, 1556, 13775, 593, 281, 476, 1626, 4924, 1412, 1556, 13775, 538, 281, 19964, 540, 11719, 344, 454, 2414, 3313, 2436, 6217, 2530, 568, 2404, 609, 10071, 782, 2275, 1021, 12110, 543, 12216, 2068, 630, 4696, 1040, 3682, 338, 8826, 1353, 540, 476, 277, 4375, 2043, 945, 23384, 24384, 6248, 4152, 543, 941, 12110, 1863, 538, 476, 1960, 271, 547, 476, 1960, 275, 269, 24651, 2530, 729, 3989, 676, 513, 6986, 2389, 821, 3328, 540, 6217, 29676, 693, 476, 271, 269, 276, 267, 476, 272, 267, 476, 273, 267, 543, 476, 275, 737, 13703, 538, 519, 1732, 13463, 2130, 1274, 630, 7538, 267, 2999, 1839, 28108, 1496, 333, 815, 476, 3393, 276, 22049, 7646, 2530, 267, 476, 1839, 268, 2412, 28108, 1496, 333, 815, 476, 10219, 22049, 9793, 2530, 267, 476, 6078, 268, 3583, 28108, 1496, 333, 815, 476, 7871, 22049, 543, 4049, 2530, 267, 3436, 3583, 28108, 1496, 333, 815, 476, 277, 316, 1040, 23369, 540, 10071, 12110, 729, 1500, 676, 13618, 10368, 10554, 269, 30532, 14354, 10898, 3631, 941, 1031, 547, 2203, 942, 547, 10071, 12110, 2687, 547, 10335, 540, 6217, 2530, 543, 941, 14661, 585, 2085, 267, 3023, 267, 5198, 267, 2069, 267, 3987, 22577, 267, 7296, 267, 543, 13119, 11065, 5306, 20095, 7043, 15994, 5530, 540, 28544, 2529, 1460, 4627, 13977, 5991, 710, 2043, 9907, 476, 3607, 547, 476, 3445, 1296, 16638, 322, 1211, 2665, 540, 782, 2275, 1021, 12110, 543, 5084, 2394, 2904, 476, 4029, 267, 476, 1220, 279, 6185, 1005, 513, 11667, 1246, 5346, 540, 476, 1556, 269, 280, 1296, 267, 476, 6812, 2665, 540, 10071, 782, 2275, 1021, 12110, 941, 8995, 267, 540, 799, 476, 4391, 2665, 941, 5084, 269, 634, 1981, 540, 10071, 782, 2275, 1021, 12110, 2799, 2845, 31085, 609, 519, 10335, 540, 15977, 6217, 2530, 630, 272, 269, 2767, 829, 476, 1015, 1673, 289, 2530, 282, 476, 4817, 260, 6015, 8884, 267, 476, 272, 269, 6187, 268, 272, 269, 2004, 1040, 22702, 609, 3339, 6217, 267, 519, 9651, 5223, 630, 4817, 260, 6015, 8884, 264, 585, 10071, 782, 2275, 1021, 12110, 729, 476, 272, 269, 8660, 630, 272, 269, 876, 268, 274, 269, 6812, 264, 585, 7646, 6217, 2530, 267, 476, 274, 269, 876, 630, 272, 269, 6246, 268, 277, 269, 1789, 264, 585, 9793, 6217, 2530, 267, 543, 476, 275, 269, 11463, 630, 272, 269, 6021, 268, 2420, 269, 2412, 264, 585, 4049, 6217, 2530, 269, 634, 1981, 540, 10071, 5084, 849, 2799, 609, 15977, 6217, 2530, 630, 272, 269, 736, 829, 476, 1015, 28108, 540, 6217, 2530, 264, 855, 609, 513, 9962, 6015, 8884, 630, 271, 269, 11463, 268, 272, 269, 7871, 1040, 295, 8960, 2530, 568, 10446, 2404, 609, 10071, 782, 2275, 1021, 12110, 269, 6787, 6217, 2530, 568, 513, 15262, 585, 2038, 22533, 12110, 610, 568, 2965, 513, 1110, 16666, 1981, 3815, 585, 12110, 19262, 2417, 1353, 269, 0, 32459, 2118, 540, 5106, 540, 11275, 2803, 626, 633, 8596, 267, 813, 4063, 689, 26006, 6202, 563, 300, 24599, 2803, 626, 2032, 568, 519, 2702, 540, 513, 1570, 547, 1689, 4187, 896, 519, 3310, 540, 6419, 4610, 269, 1703, 616, 1896, 1114, 11275, 2803, 626, 633, 2360, 267, 855, 26006, 6202, 8596, 946, 519, 1323, 529, 32430, 13804, 16587, 1763, 626, 633, 630, 4456, 305, 264, 1198, 799, 4386, 538, 7542, 9317, 2326, 267, 1519, 18983, 718, 1195, 269, 18983, 718, 1195, 568, 606, 18585, 540, 19695, 543, 4401, 543, 814, 1044, 1031, 607, 513, 15392, 1570, 2094, 519, 2038, 851, 540, 519, 476, 736, 628, 2540, 538, 22155, 6272, 269, 8899, 8417, 547, 7344, 2566, 13745, 609, 1164, 8417, 547, 6419, 4610, 1683, 8596, 602, 642, 691, 689, 11275, 334, 7397, 547, 16669, 2599, 3156, 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 ]
[ 1297, 585, 6090, 538, 4496, 27921, 540, 519, 5409, 3147, 636, 15975, 6259, 573, 18462, 10689, 29800, 269, 7233, 25665, 269, 476, 16318, 263, 272, 2567, 16825, 268, 15757, 563, 307, 328, 2784, 334, 5336, 698, 718, 6951, 267, 681, 1421, 918, 269, 1234, 321, 3316, 328, 267, 681, 269, 7799, 267, 590, 269, 623, 2784, 7315, 267, 543, 570, 269, 5484, 537, 330, 571, 325, 630, 1001, 278, 1040, 19940, 11646, 5027, 18861, 566, 281, 3564, 6090, 3623, 9760, 269, 2201, 20799, 13759, 269, 476, 279, 263, 274, 2567, 6321, 273, 280, 268, 6321, 274, 278, 563, 307, 3757, 267, 661, 269, 808, 1421, 631, 269, 595, 269, 3751, 267, 543, 589, 269, 670, 269, 4856, 321, 9116, 630, 1001, 275, 1040, 5839, 668, 12817, 3560, 1063, 519, 13540, 543, 519, 32594, 281, 25790, 538, 7271, 543, 6932, 6402, 547, 2068, 269, 12713, 577, 574, 3821, 1696, 4437, 19398, 3821, 2920, 320, 630, 289, 10621, 264, 910, 17449, 8426, 3194, 269, 476, 7277, 274, 263, 1556, 2567, 30116, 275, 268, 29344, 276, 563, 309, 8538, 745, 1375, 523, 267, 715, 1421, 595, 269, 19555, 753, 267, 543, 670, 269, 5576, 520, 630, 1220, 280, 1040, 17449, 6127, 540, 4496, 5409, 3147, 636, 1637, 538, 2371, 269, 1715, 24695, 339, 6048, 269, 476, 8687, 263, 275, 2567, 4037, 280, 268, 6507, 277, 563, 309, 18543, 933, 3187, 267, 623, 1421, 595, 269, 15328, 1470, 267, 631, 269, 590, 269, 25511, 628, 731, 339, 268, 7883, 1120, 267, 543, 595, 269, 918, 11839, 630, 1220, 277, 1040, 10871, 1436, 543, 2360, 540, 20017, 26606, 538, 3762, 540, 513, 20017, 26606, 2389, 26985, 786, 578, 630, 21946, 1460, 642, 574, 1400, 529, 700, 12175, 7025, 543, 21885, 15636, 1415, 269, 476, 6812, 263, 272, 268, 274, 2567, 1839, 268, 2412, 563, 310, 836, 267, 595, 1421, 808, 269, 15651, 267, 2473, 269, 15651, 267, 962, 269, 2473, 807, 267, 595, 269, 16441, 267, 2098, 269, 30715, 267, 543, 962, 269, 16441, 630, 1001, 278, 1040, 26287, 5669, 2079, 593, 5072, 540, 744, 523, 6139, 571, 1350, 21532, 990, 10005, 896, 7601, 3613, 816, 2175, 269, 11660, 18614, 269, 476, 278, 263, 272, 2567, 10755, 8660, 563, 310, 836, 267, 962, 269, 630, 1001, 278, 1040, 634, 10020, 540, 19301, 293, 272, 7304, 601, 730, 19871, 20943, 848, 476, 272, 630, 27409, 305, 298, 272, 264, 538, 15725, 10827, 776, 10307, 538, 6259, 573, 18462, 555, 6501, 320, 269, 12854, 5098, 269, 2160, 540, 2871, 601, 874, 269, 4516, 563, 310, 836, 267, 962, 1421, 667, 269, 23045, 2006, 5937, 20482, 267, 717, 269, 16441, 267, 543, 962, 269, 1627, 269, 2871, 630, 1001, 276, 1040, 13106, 334, 309, 3317, 281, 513, 1357, 7746, 585, 11646, 2647, 6476, 543, 14391, 566, 540, 9647, 27881, 13421, 2066, 2789, 2249, 269, 715, 16197, 545, 3600, 1749, 3194, 269, 476, 6246, 263, 310, 272, 2567, 310, 4281, 268, 10019, 563, 310, 4068, 916, 267, 717, 1421, 667, 269, 645, 269, 19537, 3455, 267, 631, 269, 3938, 15318, 267, 595, 269, 717, 1712, 267, 715, 269, 32040, 745, 1375, 523, 267, 543, 623, 269, 15223, 636, 527, 537, 6441, 777, 8565, 630, 1220, 278, 1040, 634, 4719, 4493, 540, 13058, 10892, 538, 519, 12669, 4451, 974, 6259, 573, 18462, 10689, 29800, 521, 4944, 269, 10689, 29800, 630, 289, 14993, 545, 19687, 2567, 1323, 2079, 540, 11050, 16023, 1327, 328, 269, 21834, 269, 476, 12293, 263, 272, 2567, 4792, 280, 563, 312, 340, 267, 681, 1421, 962, 269, 19358, 267, 595, 269, 20568, 267, 2473, 269, 13660, 267, 595, 269, 23183, 334, 267, 543, 717, 269, 26757, 630, 1001, 278, 1040, 22414, 13973, 5669, 2079, 8761, 519, 5107, 540, 681, 5308, 25094, 27701, 6090, 538, 3210, 547, 20017, 26606, 538, 1079, 533, 752, 1781, 328, 28212, 269, 11660, 18614, 269, 476, 278, 263, 272, 2567, 280, 2641, 278, 563, 313, 16852, 267, 808, 11607, 298, 269, 630, 1001, 277, 1040, 2806, 8438, 2566, 15202, 543, 6114, 538, 2371, 269, 8426, 269, 476, 15757, 263, 273, 2567, 27123, 268, 27844, 269, 0, 763, 16231, 2817, 19510, 593, 11094, 543, 13139, 1436, 540, 19287, 658, 18726, 8249, 12830, 585, 11982, 454, 347, 7072, 1475, 27154, 11202, 8328, 5843, 13060, 1475, 303, 1506, 9008, 987, 8328, 5843, 13060, 9986, 558, 537, 322, 1475, 295, 641, 11202, 11077, 1475, 26581, 337, 6053, 13139, 14184, 5843, 13060, 1475, 291, 8543, 5843, 13060, 2008, 21270, 4319, 2044, 5843, 13060, 1475, 303, 1506, 9008, 987, 8328, 5164, 4926, 1475, 293, 8816, 19029, 543, 9540, 22500, 5164, 4926, 1475, 22025, 6737, 5164, 4926, 1475, 7775, 333, 4442, 7233, 5164, 4926, 1475, 303, 1506, 9008, 987, 8328, 29318, 2008, 31340, 327, 714, 14113, 1475, 305, 755, 338, 543, 32254, 344, 631, 843, 1168, 1475, 293, 2426, 328, 16671, 293, 1475, 303, 1506, 9008, 987, 8328, 674, 2426, 328, 595, 6020, 1475, 303, 1506, 9008, 987, 8328, 744, 3912, 322, 26347, 1475, 10955, 1043, 454, 663, 5709, 1400, 5672, 668, 26338, 26347, 454, 347, 15368, 21355, 3912, 322, 26347, 1475, 1103, 591, 974, 24260, 30495, 623, 3949, 543, 741, 7849, 2037, 12562, 1475, 1805, 1819, 6261, 6055, 623, 3949, 267, 631, 2572, 543, 674, 2426, 328, 1475, 15933, 16370, 595, 13967, 1475, 291, 8543, 543, 25234, 2044, 2552, 3133, 1218, 1475, 5141, 822, 4602, 527, 19687, 2008, 22033, 593, 4015, 1892, 3778, 454, 763, 14635, 540, 10960, 11202, 8328, 5843, 13060, 630, 290, 4338, 300, 264, 729, 8547, 538, 476, 3422, 273, 269, 2311, 1459, 519, 26480, 300, 568, 513, 851, 540, 519, 4972, 540, 645, 1461, 5735, 693, 519, 27259, 3194, 4659, 538, 5696, 7224, 563, 1892, 10886, 1436, 540, 4015, 454, 763, 2101, 2238, 540, 519, 26480, 300, 4125, 11601, 267, 11091, 543, 3892, 540, 14471, 910, 3662, 8290, 543, 18186, 13771, 8328, 4551, 3730, 585, 18915, 2259, 267, 4294, 8762, 5735, 543, 1382, 269, 634, 26480, 300, 6585, 811, 982, 476, 4968, 12490, 540, 8290, 543, 3592, 476, 7785, 12490, 540, 4551, 799, 616, 7396, 538, 9102, 17048, 1132, 563, 1892, 11242, 267, 2533, 454, 763, 1292, 1599, 540, 519, 26480, 300, 568, 547, 2445, 267, 2226, 267, 8190, 543, 3761, 6986, 4529, 540, 14471, 269, 634, 26480, 300, 3398, 585, 16005, 10194, 543, 9190, 12490, 799, 616, 1641, 547, 14664, 3156, 593, 519, 3084, 1377, 563, 1892, 4033, 2533, 912, 306, 12522, 16005, 540, 4529, 454, 10403, 2763, 1673, 11538, 540, 4529, 454, 290, 30743, 616, 12873, 676, 19068, 1673, 11538, 610, 16171, 538, 5277, 9436, 610, 6854, 693, 910, 3199, 11019, 290, 563, 1892, 3590, 540, 2298, 454, 299, 1987, 2218, 1568, 616, 5645, 856, 538, 10220, 609, 519, 9516, 12191, 12462, 24092, 5650, 585, 11091, 267, 13936, 267, 18572, 543, 12319, 540, 4719, 2200, 25257, 543, 519, 3741, 540, 6153, 12524, 6657, 630, 294, 10861, 264, 616, 1373, 4767, 538, 519, 9036, 563, 763, 26480, 300, 568, 513, 4759, 540, 519, 2622, 18966, 585, 9177, 26888, 910, 654, 293, 6717, 2073, 519, 3864, 9177, 26888, 262, 25944, 910, 10566, 4596, 543, 519, 18966, 540, 16231, 543, 30355, 752, 9177, 26888, 910, 674, 6717, 300, 4586, 32101, 281, 1892, 13335, 540, 12490, 454, 309, 12637, 543, 9190, 12490, 616, 15866, 1031, 585, 1382, 267, 10368, 543, 3872, 5301, 269, 14755, 6683, 267, 2069, 543, 1072, 1416, 267, 789, 666, 581, 849, 6964, 538, 24684, 543, 538, 2872, 563, 290, 4338, 300, 4529, 616, 13859, 547, 20682, 267, 3506, 543, 3872, 5238, 1312, 538, 16231, 6243, 543, 824, 2477, 563, 23086, 281, 309, 2678, 2435, 3194, 4659, 454, 295, 644, 322, 13960, 476, 3583, 267, 476, 277, 2641, 476, 876, 5696, 7224, 454, 5938, 548, 7483, 476, 276, 3451, 476, 28590, 476, 14530, 454, 293, 1314, 476, 276, 6078, 476, 21076, 476, 26631, 454, 300, 309, 7804, 269, 4460, 2946, 3279, 1234, 545, 3559, 990, 5451, 910, 10361, 267, 1225, 1807, 630, 321, 22160, 994, 300, 23950, 269, 670, 3570, 5689, 523, 990, 12921, 5451, 910, 1225, 1807, 630, 341, 21905, 994, 24938, 2088, 966, 5451, 331, 28325, 5451, 910, 27637 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 425, 488, 372, 5078, 3903, 269, 5940, 3307, 4507, 1058, 581, 19775, 609, 14621, 547, 799, 2854, 1543, 568, 14091, 358, 498, 27338, 32510, 478, 424, 480, 361, 27338, 425, 488, 372, 2895, 1882, 11320, 516, 22486, 267, 1656, 4010, 875, 519, 2895, 1516, 7933, 652, 2315, 5650, 568, 5645, 856, 563, 763, 10151, 6609, 4505, 5018, 11225, 1543, 1570, 2359, 269, 6176, 2359, 729, 2356, 27361, 693, 8257, 531, 610, 3483, 995, 9832, 609, 519, 6351, 540, 1796, 29671, 2780, 3301, 563, 11767, 21215, 2854, 1543, 7245, 22613, 8257, 531, 543, 4052, 6302, 543, 11394, 547, 6023, 782, 1570, 6383, 676, 606, 3919, 1700, 3602, 2479, 621, 781, 3812, 269, 7073, 1554, 8101, 16904, 616, 1158, 538, 741, 3914, 543, 3252, 267, 543, 4930, 1522, 581, 3812, 593, 835, 824, 2460, 540, 519, 8608, 563, 17457, 1554, 1870, 1344, 2359, 3292, 5838, 946, 540, 713, 2854, 1543, 585, 1004, 945, 786, 991, 621, 585, 3932, 6351, 610, 824, 17101, 4128, 269, 5680, 1949, 616, 2356, 3730, 585, 891, 5686, 540, 13055, 1532, 5802, 1543, 1570, 7245, 3292, 563, 5715, 8817, 4930, 786, 2491, 1978, 2152, 3238, 538, 2754, 4930, 7245, 3292, 269, 0, 17445, 6052, 23586, 4083, 454, 14630, 281, 13628, 267, 4873, 476, 1626, 267, 476, 1220, 276, 7711, 476, 2641, 281, 3374, 281, 4375, 10648, 307, 454, 303, 770, 20171, 3177, 513, 2241, 7650, 540, 1018, 2115, 547, 581, 2944, 547, 4430, 519, 968, 313, 14154, 9731, 4263, 1459, 267, 1100, 835, 814, 2097, 4464, 609, 513, 2324, 3926, 799, 5693, 6920, 1648, 4947, 689, 930, 7164, 2707, 267, 12077, 519, 2098, 14154, 269, 1703, 1590, 581, 476, 1911, 271, 779, 540, 3173, 543, 12348, 7567, 2324, 593, 713, 1966, 10446, 563, 763, 1480, 5198, 568, 693, 519, 1482, 3942, 607, 519, 19159, 14552, 950, 1169, 835, 6785, 621, 729, 7543, 547, 8038, 269, 634, 19159, 14552, 14593, 11735, 1022, 4413, 4758, 779, 543, 12193, 835, 2930, 1966, 693, 513, 942, 543, 12193, 519, 1966, 540, 8184, 538, 1018, 8604, 16074, 256, 4595, 713, 942, 267, 1169, 3364, 814, 1831, 811, 2930, 267, 607, 1134, 607, 14427, 547, 798, 2596, 1382, 269, 1280, 519, 1034, 851, 267, 519, 1970, 16304, 4829, 814, 2907, 1044, 13603, 6028, 721, 609, 1360, 2352, 2042, 547, 4194, 563, 2026, 585, 14291, 2098, 14154, 1934, 593, 4541, 3047, 267, 713, 949, 2490, 856, 547, 581, 7543, 610, 693, 2547, 1360, 25516, 269, 1809, 267, 538, 2230, 713, 1223, 2490, 856, 547, 581, 1360, 2653, 269, 4208, 568, 713, 865, 286, 1280, 835, 3364, 2250, 3173, 543, 6323, 685, 723, 1305, 519, 2666, 3652, 585, 4541, 3047, 267, 607, 1134, 607, 519, 7122, 269, 4256, 2013, 568, 2178, 855, 930, 1919, 616, 1869, 538, 513, 1533, 540, 13441, 269, 2368, 2053, 1004, 936, 1413, 519, 6654, 563, 9617, 3544, 519, 8825, 5790, 540, 3047, 6013, 513, 5318, 20704, 540, 8900, 2230, 799, 568, 1360, 4411, 630, 273, 269, 278, 5232, 918, 1040, 634, 1876, 540, 2810, 23811, 2829, 602, 10288, 1949, 4043, 547, 4524, 1247, 2935, 1229, 1949, 4043, 547, 3251, 602, 1259, 269, 4475, 8900, 2230, 1223, 581, 2808, 10288, 2094, 519, 2837, 568, 865, 7123, 936, 5318, 2127, 269, 4208, 568, 713, 519, 2013, 286, 9320, 713, 568, 2047, 1813, 547, 519, 1970, 1648, 1533, 540, 519, 2098, 14154, 286, 769, 1198, 649, 616, 3168, 693, 2098, 14154, 543, 1810, 1406, 917, 621, 2336, 13420, 10329, 540, 3002, 610, 7833, 2837, 568, 519, 2067, 1533, 540, 2470, 269, 1924, 14291, 5122, 1648, 538, 2230, 1210, 519, 24353, 3002, 540, 11517, 1436, 540, 700, 301, 273, 1152, 4679, 519, 23811, 540, 2230, 269, 1411, 616, 3274, 3001, 835, 1106, 540, 1648, 883, 513, 1007, 1533, 585, 1480, 946, 269, 589, 1062, 540, 713, 1826, 1223, 723, 606, 4398, 540, 476, 4817, 269, 276, 260, 1759, 593, 519, 24353, 3002, 540, 11517, 1436, 540, 700, 301, 273, 799, 568, 476, 6858, 5232, 918, 609, 513, 4282, 2837, 540, 476, 273, 269, 4037, 918, 563, 307, 615, 332, 19392, 568, 4570, 2094, 649, 616, 2324, 693, 1079, 1114, 5210, 269, 14333, 568, 3001, 689, 3905, 547, 4411, 269, 634, 1648, 1031, 547, 1685, 713, 4305, 568, 2098, 14154, 563, 10048, 814, 2760, 1500, 513, 3684, 602, 17838, 5122, 1648, 856, 540, 4411, 2230, 269, 634, 1455, 3494, 568, 602, 2098, 14154, 568, 782, 1472, 721, 269, 1548, 952, 2098, 14154, 568, 1152, 1336, 538, 2230, 543, 711, 1524, 1934, 593, 3047, 269, 901, 1131, 581, 1175, 5386, 267, 2094, 606, 19957, 2179, 540, 946, 762, 1648, 1131, 581, 519, 6117, 3196, 547, 3914, 856, 883, 2230, 543, 3935, 1125, 621, 269, 2060, 19957, 1648, 454, 5158, 568, 2653, 563, 22428, 596, 723, 513, 3109, 4216, 538, 2230, 602, 7472, 5318, 5666, 540, 5122, 1379, 269, 901, 3109, 4216, 3085, 1406, 723, 1022, 3001, 2694, 543, 1152, 17838, 835, 1106, 540, 1648, 883, 513, 1114, 1106, 269, 901, 3109, 4216, 814, 6093, 1379, 9271, 543, 12958, 1379, 9271, 538, 519, 1106, 540, 3002, 1813, 547, 594, 273, 305, 4187, 9271, 563, 4407, 6721, 5122, 1379, 519, 3926, 1590, 581, 24760, 538, 5277, 9436, 693, 476, 272, 5790, 269, 14333, 6383, 267, 18493, 919, 519, 700, 301, 273, 799, 568, 2366, 547, 513, 2230, 10237, 1807, 13104, 539, 689, 1463, 3141, 1769, 4171, 2837, 568, 6378, 693, 476, 273, 269, 278, 5232, 918, 563, 28959, 568, 26632, 730, 883, 2230, 543, 519, 3154, 22643, 832, 540, 9436, 568, 10736, 1394, 547, 5277, 693, 1100, 1648, 1942, 547, 519, 1062, 269, 634, 700, 301, 273, 568, 29253, 1394, 883, 519, 1062, 267, 3850, 519, 3109, 4216, 547, 3136, 547, 3132, 5122, 1379, 269, 634, 2243, 568, 1141, 1281, 713, 1648, 2097, 689, 286, 16393, 621, 2097, 689, 519, 2098, 14154, 888, 2171, 917, 602, 4411, 15559, 723, 513, 1970, 1648, 5860, 269, 901, 568, 711, 513, 1966, 2094, 2230, 568, 12808, 269, 9320, 649, 1058, 2015, 2098, 14154, 607, 513, 1970, 1648, 2707, 3262, 856, 936, 513, 5318, 1858, 269, 1403, 713, 568, 3020, 267, 1287, 519, 3109, 4216, 568, 2966, 547, 2445, 621, 543, 13404, 621, 936, 513, 2016, 1974, 540, 942, 269, 4595, 519, 3109, 4216, 568, 513, 4396, 1533, 3926, 621, 3085, 1406, 723, 519, 6671, 9271, 1813, 547, 7344, 32234, 543, 4238, 269, 898, 779, 1374, 547, 960, 693, 519, 10570, 4336, 610, 1118, 519, 1463, 1648, 7503, 1169, 835, 568, 3168, 585, 563, 4002, 519, 2627, 540, 519, 3047, 267, 519, 3926, 786, 2141, 581, 1648, 14021, 267, 2495, 621, 786, 2141, 723, 513, 2744, 540, 476, 272, 269, 0, 22879, 532, 28864, 281, 6380, 8948, 8973, 2659, 2657, 1879, 4635, 9995, 7433, 454, 306, 663, 17549, 267, 849, 1634, 607, 31492, 1957, 267, 568, 513, 11684, 1907, 1031, 538, 1585, 6080, 543, 18789, 3785, 269, 898, 568, 4122, 1031, 585, 5347, 532, 7252, 267, 9427, 5862, 610, 642, 7568, 880, 267, 543, 8600, 7252, 585, 7206, 610, 18138, 269, 2755, 5070, 17549, 568, 513, 3407, 1907, 267, 621, 666, 849, 10460, 4220, 547, 707, 1072, 952, 711, 1031, 5265, 269, 769, 713, 2376, 267, 649, 786, 2263, 519, 1761, 10898, 2404, 609, 5070, 17549, 543, 1683, 3407, 4030, 593, 875, 547, 16102, 707, 1072, 950, 1210, 621, 563, 763, 18171, 1841, 540, 9995, 17549, 454, 306, 663, 17549, 568, 1500, 909, 540, 31492, 5536, 27433, 547, 513, 1957, 610, 12308, 25380, 269, 1452, 31492, 5536, 666, 2014, 7063, 952, 711, 17411, 609, 1416, 269, 3371, 616, 930, 540, 519, 10898, 2404, 609, 5070, 17549, 912, 268, 595, 7491, 543, 705, 6652, 687, 281, 634, 8325, 8728, 540, 519, 31492, 5536, 666, 2014, 11912, 543, 705, 6652, 687, 952, 519, 5070, 17549, 568, 32657, 663, 1194, 610, 1031, 27235, 563, 268, 769, 15595, 566, 540, 7452, 281, 9995, 532, 7252, 5932, 7452, 5536, 602, 666, 581, 31067, 269, 1452, 5536, 666, 8886, 622, 519, 7929, 1062, 543, 2014, 7929, 2152, 563, 268, 16685, 7063, 281, 28545, 5536, 6383, 1282, 5070, 532, 666, 849, 4283, 519, 4064, 267, 4929, 16698, 267, 25017, 267, 543, 1761, 3441, 563, 268, 16164, 16698, 281, 1160, 14075, 539, 3346, 609, 5070, 17549, 610, 4598, 547, 922, 7452, 666, 1291, 547, 2960, 16698, 267, 3819, 1145, 267, 543, 1256, 27150, 563, 306, 2378, 8948, 8973, 2659, 2657, 454, 3086, 602, 649, 616, 3222, 540, 519, 1761, 10898, 267, 1577, 779, 2263, 930, 2500, 2081, 547, 16102, 707, 1072, 950, 1210, 5070, 17549, 912, 272, 269, 23203, 13363, 633, 717, 792, 454, 28406, 633, 10591, 568, 1898, 950, 2324, 609, 5070, 17549, 269, 3371, 616, 930, 3688, 596, 1058, 2015, 912, 268, 8881, 575, 17344, 956, 281, 23203, 3106, 575, 17344, 956, 547, 2149, 707, 4064, 689, 7452, 5536, 543, 1761, 10760, 11935, 563, 268, 28545, 9633, 610, 6711, 1807, 281, 2422, 513, 7452, 9633, 610, 6711, 1807, 547, 2061, 32480, 540, 7452, 5536, 269, 7994, 513, 9633, 609, 513, 1164, 19288, 4398, 563, 268, 3794, 7174, 281, 23203, 17309, 547, 2149, 707, 3946, 689, 11912, 267, 705, 6652, 687, 267, 543, 1761, 2960, 16698, 563, 268, 7043, 1606, 23932, 1386, 7802, 281, 15147, 707, 7916, 543, 7953, 609, 1279, 1606, 23932, 1386, 7802, 547, 7413, 2960, 4598, 547, 5070, 17549, 543, 922, 7452, 563, 273, 269, 4518, 538, 513, 4270, 13305, 550, 23624, 9351, 454, 2691, 5070, 532, 7252, 267, 621, 568, 2629, 547, 960, 538, 513, 1134, 268, 1203, 23624, 1858, 269, 7743, 14910, 2337, 538, 4227, 519, 5834, 540, 7452, 5536, 538, 519, 2011, 267, 10893, 519, 1981, 540, 32480, 269, 1403, 2009, 267, 960, 13964, 610, 538, 513, 13186, 609, 1434, 2011, 10009, 269, 1403, 2324, 16280, 267, 1930, 9486, 543, 946, 11655, 547, 2087, 2011, 3350, 563, 274, 269, 2422, 519, 9406, 717, 761, 543, 26435, 454, 24400, 519, 1318, 27497, 543, 1210, 519, 2953, 5070, 532, 4480, 666, 3648, 2569, 519, 1981, 540, 7063, 269, 3371, 616, 930, 4388, 912, 268, 7994, 519, 3617, 27497, 281, 7756, 5070, 17549, 27497, 338, 616, 5078, 585, 1808, 4247, 269, 3213, 12838, 27497, 338, 630, 2412, 268, 3199, 264, 616, 4998, 585, 5230, 1570, 8851, 267, 1247, 5386, 27497, 338, 630, 6344, 268, 13136, 264, 616, 5078, 585, 5347, 532, 543, 18138, 269, 4635, 519, 4636, 27497, 666, 1291, 547, 7050, 3196, 3498, 267, 2810, 519, 1981, 540, 7063, 563, 268, 7427, 519, 10286, 281, 11408, 5070, 538, 519, 4287, 540, 519, 3574, 10286, 610, 2627, 9403, 269, 9995, 532, 1996, 519, 10286, 666, 2014, 10943, 5793, 532, 543, 3441, 547, 519, 2627, 563, 268, 15233, 1256, 2604, 281, 15233, 1256, 2604, 1247, 5070, 532, 547, 2057, 19514, 7252, 543, 2569, 519, 1981, 540, 7063, 563, 268, 5901, 519, 5070, 17549, 6366, 281, 3680, 24208, 610, 1212, 2084, 519, 5070, 17549, 267, 607, 621, 666, 1291, 547, 19514, 5070, 532, 543, 1761, 7063, 563, 275, 269, 3687, 4476, 28545, 19087, 454, 305, 14445, 532, 519, 2179, 540, 7452, 6383, 1282, 5070, 532, 568, 2629, 585, 17420, 707, 1072, 269, 3371, 616, 930, 2994, 547, 7413, 7452, 912, 268, 2422, 513, 7452, 4015, 1062, 281, 4045, 513, 12511, 610, 7452, 4015, 1062, 547, 707, 5070, 532, 3937, 547, 7001, 7452, 693, 519, 2707, 563, 268, 22911, 5070, 532, 281, 22911, 5070, 532, 666, 948, 538, 4227, 7452, 5108, 269, 2422, 513, 14927, 26703, 610, 5070, 17549, 865, 8898, 538, 1216, 585, 6632, 5070, 532, 563, 268, 4518, 538, 513, 2270, 618, 1858, 281, 8073, 513, 2270, 618, 1858, 1210, 5068, 9212, 610, 13545, 1186, 547, 26343, 519, 7452, 6383, 1282, 5070, 532, 563, 268, 11162, 909, 5265, 281, 2991, 5070, 532, 267, 2973, 909, 519, 960, 1858, 8499, 1210, 513, 12511, 610, 14927, 12308, 547, 4894, 1022, 15895, 7452, 563, 306, 21505, 7252, 609, 5070, 17549, 568, 513, 1455, 2259, 538, 1585, 6080, 543, 18789, 3785, 269, 1717, 267, 621, 568, 1898, 547, 581, 3222, 540, 519, 1761, 10898, 2404, 609, 5070, 17549, 543, 1491, 2556, 15416, 547, 16102, 707, 1072, 269, 1635, 9849, 8825, 10591, 267, 2324, 538, 513, 1134, 268, 1203, 23624, 1858, 267, 1210, 519, 1318, 27497, 543, 4480, 267, 543, 10893, 7452, 5108, 267, 596, 666, 3648, 2569, 519, 1981, 540, 7063, 543, 2149, 707, 1072, 950, 1210, 5070, 17549, 269, 5457, 267, 3106, 1058, 2141, 581, 513, 1283, 10862, 950, 2324, 609, 1022, 2645, 610, 3937, 269, 0, 10521, 2818, 540, 519, 18243, 327, 748, 773, 2160, 2146, 5063, 3838 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4197, 18724, 8864, 3414, 18289, 16514, 3778, 692, 8702, 547, 938, 3460, 998, 942, 607, 649, 2263, 519, 4241, 1158, 540, 5163, 5961, 543, 875, 789, 723, 1044, 8032, 676, 1004, 689, 1114, 10080, 267, 1519, 1346, 945, 4857, 630, 528, 616, 4857, 264, 607, 3043, 269, 901, 1770, 786, 6338, 596, 547, 519, 1353, 540, 17642, 8864, 267, 799, 568, 513, 851, 540, 2686, 543, 6803, 2090, 602, 12116, 519, 2833, 267, 22864, 267, 543, 1379, 6384, 2404, 609, 1373, 9228, 607, 3043, 269, 1635, 3168, 693, 519, 2729, 543, 7418, 540, 2038, 23806, 538, 5163, 4605, 2029, 899, 7338, 32525, 543, 5261, 17394, 700, 4768, 773, 667, 6506, 517, 267, 649, 4126, 547, 8774, 1769, 593, 875, 5198, 543, 6041, 12969, 609, 6639, 5647, 780, 8893, 476, 272, 281, 4985, 547, 18724, 8864, 5525, 692, 5970, 596, 2479, 2219, 827, 1018, 621, 1797, 547, 581, 2808, 3043, 286, 2107, 9289, 1946, 930, 3197, 538, 9413, 1413, 513, 1978, 1259, 1247, 1866, 798, 711, 286, 1452, 2055, 9305, 547, 519, 2856, 540, 17642, 8864, 30867, 7493, 1523, 602, 13315, 519, 1514, 267, 2797, 267, 543, 3140, 2833, 540, 2043, 9286, 607, 3043, 269, 10801, 1686, 267, 891, 2833, 723, 1419, 8854, 29462, 1317, 789, 616, 2938, 607, 834, 7538, 2437, 855, 1620, 873, 666, 948, 721, 5431, 875, 17979, 543, 1379, 7500, 1369, 2486, 780, 12244, 281, 5994, 596, 2661, 538, 513, 1158, 1141, 3025, 814, 4544, 2960, 269, 1548, 1131, 581, 2808, 3339, 286, 1215, 1522, 2576, 609, 3039, 2960, 1995, 1272, 8335, 982, 596, 286, 9181, 707, 4555, 609, 513, 7649, 780, 8893, 476, 273, 281, 27505, 619, 538, 7216, 18289, 24436, 692, 1103, 519, 3735, 476, 5197, 271, 338, 267, 1079, 2367, 3957, 7338, 32525, 543, 5261, 17394, 700, 4768, 773, 667, 6506, 517, 1500, 1713, 23484, 538, 3384, 5163, 4605, 4066, 269, 4256, 960, 9788, 519, 5748, 585, 2413, 21576, 267, 3850, 721, 547, 2972, 8874, 2221, 256, 1809, 1705, 596, 917, 741, 2984, 849, 1683, 4030, 883, 519, 10848, 540, 17642, 8864, 1282, 602, 5736, 2496, 24171, 32525, 729, 606, 9565, 4137, 1634, 585, 2870, 18563, 971, 607, 519, 13093, 1748, 543, 519, 1651, 663, 27853, 1769, 15941, 269, 1261, 849, 5129, 513, 2629, 1909, 538, 9591, 519, 1101, 7260, 18638, 1572, 519, 4563, 12756, 269, 1717, 267, 5103, 1010, 10781, 267, 646, 4371, 11786, 5784, 3823, 4074, 2924, 543, 2899, 1767, 267, 834, 296, 1810, 1405, 1589, 649, 991, 547, 5855, 827, 12227, 865, 1454, 607, 1480, 23535, 7190, 1701, 24167, 6898, 899, 891, 2636, 721, 547, 2015, 519, 2078, 1063, 1379, 267, 5198, 267, 543, 17979, 1282, 32525, 781, 10715, 780, 19365, 17394, 700, 4768, 773, 667, 6506, 517, 5249, 5702, 609, 32525, 1354, 6028, 1864, 547, 1020, 1010, 1378, 4670, 1788, 528, 267, 519, 23554, 24005, 269, 4014, 1447, 4583, 982, 32525, 267, 667, 6506, 517, 781, 10124, 8329, 3648, 547, 3001, 2592, 4742, 811, 4922, 2139, 269, 1306, 513, 3703, 19366, 267, 646, 5185, 2591, 15268, 547, 1977, 2528, 267, 4758, 721, 1776, 5133, 593, 3961, 5250, 1369, 519, 2796, 540, 17642, 8864, 780, 12244, 281, 8073, 513, 15415, 15386, 1271, 19325, 538, 1312, 32525, 543, 667, 6506, 517, 781, 11678, 269, 10576, 1022, 8320, 1141, 741, 7292, 9163, 949, 723, 6766, 741, 3255, 610, 2126, 780, 8893, 476, 274, 281, 23830, 543, 5246, 1516, 538, 17912, 3778, 692, 2026, 649, 1451, 827, 2038, 5163, 4605, 23806, 267, 1577, 781, 4983, 875, 741, 23543, 723, 1044, 12873, 936, 942, 269, 3509, 5238, 2777, 10070, 6131, 547, 8497, 519, 12583, 540, 5515, 899, 32525, 543, 667, 6506, 517, 269, 7353, 21106, 267, 5022, 267, 543, 824, 13742, 4196, 607, 3407, 2200, 585, 3173, 4974, 713, 1974, 269, 1717, 267, 621, 568, 1898, 547, 11760, 602, 711, 782, 9739, 4309, 3160, 3007, 538, 31150, 5624, 780, 2690, 1383, 267, 950, 3695, 23583, 26673, 4459, 781, 3573, 4015, 5018, 4505, 267, 649, 1265, 602, 1034, 3688, 829, 1555, 547, 3043, 5256, 20334, 538, 519, 2361, 269, 2755, 891, 5638, 2709, 16367, 1344, 267, 789, 2099, 1152, 835, 2427, 540, 519, 1650, 269, 4935, 267, 1620, 17642, 8864, 3322, 9301, 922, 3310, 593, 3140, 6386, 543, 5275, 856, 3309, 5380, 780, 12244, 281, 3503, 513, 4484, 31935, 3054, 607, 606, 2895, 22999, 25461, 609, 4180, 26173, 2516, 616, 3769, 538, 2104, 10070, 269, 11512, 875, 596, 1131, 979, 827, 10655, 1007, 2326, 543, 5009, 13784, 538, 519, 21287, 780, 6962, 281, 16871, 13216, 2876, 1559, 692, 3528, 18167, 883, 519, 2729, 540, 2038, 5163, 4605, 23806, 267, 649, 2253, 547, 1294, 875, 17642, 8864, 4249, 513, 2565, 1909, 538, 5935, 2123, 2833, 267, 6848, 8155, 267, 543, 1256, 6639, 7760, 269, 1306, 649, 3136, 1565, 827, 6000, 543, 519, 1158, 1472, 721, 267, 3314, 602, 1169, 1268, 781, 1650, 6585, 1871, 269, 18964, 5188, 827, 3584, 899, 17642, 8864, 2337, 1711, 4656, 543, 6568, 267, 5807, 513, 811, 8537, 1604, 585, 3025, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3519, 13935, 23583, 26673, 9581, 781, 4015, 540, 804, 2089, 902, 267, 19359, 267, 543, 1382, 4967, 267, 543, 824, 3318, 4574, 1644, 547, 1010, 2835, 543, 4930, 593, 5163, 4605, 1686, 269, 22291, 6119, 593, 32525, 267, 5261, 17394, 700, 4768, 773, 667, 6506, 517, 267, 543, 824, 23806, 538, 5163, 4605, 18563, 563, 9928, 2100, 543, 12937, 4063, 912, 1607, 1804, 4015, 3568, 19359, 267, 4967, 267, 543, 12215, 540, 6054, 689, 1082, 1065, 21627, 1559, 267, 799, 941, 1031, 607, 1382, 2326, 585, 26673, 9581, 781, 12326, 538, 713, 2361, 267, 607, 1134, 607, 3109, 7146, 22554, 11147, 269, 10515, 625, 540, 11147, 2097, 689, 519, 32525, 2817, 19866, 13505, 21517, 267, 5101, 2006, 5600, 267, 519, 28834, 267, 543, 824, 15882, 269, 23583, 26673, 9581, 6740, 1010, 1382, 1570, 538, 15454, 12622, 619, 267, 10538, 12377, 10833, 267, 10036, 23469, 32766, 267, 543, 3109, 12622, 619, 267, 8754, 519, 15454, 267, 10538, 267, 10036, 543, 3109, 3126, 269, 898, 568, 711, 1978, 2436, 713, 11460, 6719, 606, 8446, 610, 8193, 1062, 1644, 547, 5094, 3785, 610, 2436, 621, 3274, 9356, 519, 12225, 23383, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 2662, 527, 8864, 5525, 257, 607, 851, 540, 834, 24719, 13316, 1315, 8836, 1299, 23532, 5525, 1315, 1977, 1315, 3864, 1977, 5525, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 4825, 2454, 21337, 23205, 16161, 998, 19565, 11470, 281, 634, 3718, 540, 7812, 661, 269, 16819, 692, 1103, 713, 1576, 1770, 267, 649, 786, 2263, 519, 1568, 540, 7812, 661, 269, 16819, 267, 513, 13747, 620, 4379, 639, 945, 814, 1500, 1713, 7418, 547, 519, 2361, 540, 1857, 1072, 1851, 7111, 1977, 5095, 269, 4014, 1010, 4876, 1705, 711, 4125, 11174, 5708, 610, 18691, 1427, 32478, 267, 649, 666, 1869, 2721, 6667, 689, 1010, 1272, 543, 2833, 547, 4983, 875, 891, 11964, 666, 581, 1031, 547, 3895, 2686, 4656, 543, 6041, 269, 1284, 786, 1445, 4481, 593, 21337, 18691, 1427, 32478, 267, 18167, 883, 741, 4644, 267, 2591, 267, 543, 1761, 1764, 269, 3414, 2565, 2079, 543, 3860, 5751, 267, 596, 786, 2744, 513, 4514, 7071, 585, 519, 1379, 540, 9423, 543, 922, 4390, 547, 8190, 2528, 1247, 5807, 6568, 543, 1620, 2066, 3309, 2950, 780, 14294, 881, 766, 540, 21337, 23205, 16161, 4825, 32478, 692, 23272, 3626, 18691, 13315, 1585, 5389, 267, 4978, 267, 9821, 267, 2984, 267, 543, 17691, 5293, 1524, 998, 5481, 1369, 5824, 1977, 4529, 269, 1452, 6386, 1683, 3407, 4030, 883, 519, 3148, 781, 1686, 267, 2418, 267, 543, 3961, 269, 1635, 1427, 2454, 891, 8941, 538, 2413, 8658, 267, 971, 607, 11174, 5708, 267, 4589, 899, 7812, 661, 269, 16819, 666, 2327, 602, 891, 1898, 3344, 540, 5824, 343, 6561, 616, 12873, 543, 3838, 609, 7820, 9458, 269, 5047, 267, 556, 19960, 1456, 2757, 2984, 2636, 4207, 3988, 547, 1921, 609, 873, 593, 2123, 2157, 267, 7551, 5009, 3444, 14426, 2792, 543, 1620, 780, 29936, 538, 4825, 2454, 21337, 28477, 2145, 525, 692, 14303, 2454, 1022, 1106, 540, 18691, 2501, 609, 7915, 2591, 1813, 547, 519, 10723, 2470, 540, 891, 2984, 1369, 741, 9757, 2950, 269, 1280, 3236, 267, 930, 949, 8044, 602, 19249, 3312, 6386, 4220, 8920, 5024, 610, 3765, 10517, 6974, 532, 741, 5497, 10096, 269, 1717, 267, 950, 14059, 2247, 2685, 543, 31635, 267, 14624, 666, 6536, 4195, 5380, 543, 4497, 1007, 9458, 1510, 18731, 4295, 6835, 780, 5194, 4161, 6013, 538, 8308, 9446, 532, 1950, 2686, 16082, 538, 2081, 602, 13469, 609, 1762, 3988, 269, 901, 3340, 9488, 1382, 267, 5698, 609, 2146, 2818, 267, 543, 6297, 7156, 540, 1893, 946, 269, 22439, 1590, 849, 2611, 6213, 547, 2152, 4478, 3261, 566, 543, 18351, 1143, 1247, 20678, 547, 2226, 13597, 2429, 519, 9542, 1184, 780, 763, 10020, 540, 4317, 20709, 543, 25635, 919, 899, 7812, 661, 269, 16819, 692, 12892, 4600, 543, 15156, 1404, 2629, 5107, 538, 14123, 6209, 4296, 1063, 5159, 267, 2950, 267, 543, 519, 6626, 2486, 269, 1358, 948, 8115, 10616, 1063, 1114, 2516, 676, 7586, 4328, 9739, 1419, 15763, 610, 12790, 1369, 13416, 2923, 269, 1306, 7152, 676, 7812, 661, 269, 16819, 781, 18517, 267, 4648, 2324, 693, 519, 10167, 540, 3782, 267, 3609, 267, 543, 1514, 5126, 666, 3648, 3310, 10333, 543, 13784, 1369, 1585, 6080, 267, 1519, 1453, 781, 3332, 780, 24478, 633, 11644, 281, 11154, 532, 5487, 700, 3271, 7431, 585, 7073, 22419, 692, 17442, 700, 3271, 7431, 267, 610, 834, 1492, 24986, 4807, 2437, 568, 513, 1134, 8153, 11204, 15293, 1650, 827, 513, 642, 3188, 995, 6891, 5275, 1200, 4503, 1453, 2059, 5757, 3316, 802, 269, 1677, 2259, 15268, 12563, 2145, 525, 19100, 267, 2015, 556, 19960, 1456, 5487, 700, 3271, 7431, 585, 4207, 1762, 3988, 1384, 272, 269, 3194, 281, 10670, 676, 1565, 827, 519, 8129, 543, 7648, 540, 5487, 700, 3271, 7431, 2066, 4525, 543, 2950, 269, 13693, 4081, 2959, 267, 3119, 6589, 267, 543, 7499, 12496, 547, 1174, 519, 9661, 781, 3140, 543, 2686, 8658, 563, 273, 269, 12745, 783, 1125, 281, 14419, 799, 2609, 540, 519, 3312, 1650, 1131, 9029, 1034, 547, 2413, 6107, 1247, 8497, 922, 9759, 269, 6333, 4259, 707, 9542, 538, 513, 1459, 6377, 4683, 1604, 1141, 4798, 899, 10072, 267, 16236, 267, 543, 1920, 6384, 1223, 13469, 9244, 609, 3988, 563, 274, 269, 11622, 622, 281, 18918, 2199, 5824, 343, 3906, 267, 7855, 267, 3885, 267, 543, 824, 8639, 547, 2327, 6111, 543, 8417, 1282, 519, 9542, 1184, 269, 3752, 7228, 5955, 593, 2038, 31585, 543, 6451, 10372, 9935, 563, 275, 269, 14484, 281, 2991, 11264, 707, 1427, 2454, 267, 2992, 593, 1018, 596, 723, 4121, 827, 519, 2956, 540, 2686, 6041, 543, 3743, 9423, 2853, 269, 9181, 875, 707, 2833, 1522, 1217, 2104, 3785, 5473, 3309, 2950, 543, 741, 3638, 569, 954, 342, 8576, 6386, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 18850, 3907, 1639, 1325, 30282, 25201, 454, 1708, 271, 910, 476, 1708, 272, 20591, 16249, 308, 23360, 3633, 9338, 9331, 25712, 454, 28061, 661, 269, 16819, 454, 28061, 661, 269, 16819, 568, 513, 16114, 334, 5937, 4040, 334, 270, 298, 11246, 288, 623, 29301, 334, 4095, 689, 1715, 6792, 269, 6004, 269, 16819, 814, 811, 982, 476, 1789, 1296, 540, 1857, 1072, 1995, 609, 7111, 1977, 5095, 538, 519, 2127, 540, 2564, 1514, 960, 267, 6219, 6057, 6604, 267, 1072, 13319, 543, 2068, 6604, 267, 7486, 25266, 6604, 267, 8965, 1072, 267, 543, 3782, 7245, 8160, 337, 269, 16819, 729, 519, 1101, 1977, 4095, 547, 4196, 593, 519, 454, 13233, 8889, 7027, 540, 589, 2752, 303, 269, 3245, 476, 1220, 276, 547, 476, 1220, 278, 267, 646, 6039, 607, 519, 10615, 540, 16323, 476, 277, 585, 7111, 4892, 609, 10025, 302, 6877, 268, 6124, 6792, 267, 513, 3084, 585, 17416, 8965, 1072, 2754, 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 ]
[ 585, 621, 269, 1717, 267, 798, 711, 19060, 609, 922, 13003, 269, 1677, 3082, 513, 2777, 8690, 547, 519, 1007, 3395, 2175, 267, 621, 568, 711, 5227, 547, 13003, 13151, 28684, 4505, 982, 1310, 476, 1015, 2395, 1310, 6718, 269, 898, 1058, 581, 5116, 538, 513, 1134, 2000, 527, 1747, 267, 855, 1510, 1463, 7943, 563, 2026, 519, 3037, 585, 519, 3355, 1753, 9544, 540, 22447, 15634, 22447, 267, 513, 7848, 602, 2882, 912, 268, 21432, 5070, 2676, 268, 6978, 1208, 639, 563, 5472, 3334, 616, 6404, 538, 3160, 17114, 563, 4263, 519, 5377, 540, 519, 8768, 1494, 267, 1141, 519, 552, 25045, 12643, 807, 786, 581, 1098, 680, 5896, 267, 513, 12775, 4494, 568, 9788, 856, 269, 634, 2030, 8704, 538, 519, 8708, 568, 20057, 1194, 593, 782, 5011, 609, 513, 3037, 7848, 269, 9717, 602, 6660, 3780, 568, 711, 3395, 1360, 703, 13208, 267, 621, 568, 5227, 547, 13003, 621, 1100, 4505, 982, 476, 273, 1296, 2663, 267, 13059, 547, 713, 1184, 609, 519, 1482, 8884, 19952, 269, 8307, 950, 519, 3597, 1062, 540, 519, 2030, 5956, 547, 24492, 519, 1494, 267, 666, 513, 13003, 581, 9709, 1354, 519, 12614, 540, 519, 1079, 4458, 8884, 563, 17730, 513, 6899, 1604, 454, 292, 25045, 12643, 807, 2113, 3780, 32550, 1235, 14487, 547, 12707, 339, 550, 1190, 13151, 28684, 910, 1279, 2000, 1392, 269, 13595, 547, 1152, 513, 1297, 540, 2596, 2175, 267, 1753, 1416, 585, 513, 16560, 2030, 786, 2327, 519, 15496, 540, 552, 25045, 12643, 807, 1032, 15778, 563, 12850, 532, 22447, 15634, 5144, 15634, 814, 1896, 1808, 2934, 912, 268, 538, 5162, 267, 519, 30362, 1281, 711, 991, 7928, 14450, 267, 621, 786, 581, 2614, 476, 273, 268, 274, 2053, 1282, 519, 2898, 5162, 2676, 268, 1282, 519, 1974, 540, 3742, 2208, 267, 4358, 689, 5614, 543, 10678, 538, 15489, 267, 519, 3618, 1590, 581, 7683, 5848, 2676, 268, 1216, 1058, 581, 530, 23926, 693, 513, 3636, 2837, 267, 711, 2539, 982, 4055, 2837, 563, 2691, 519, 5144, 15634, 1743, 625, 267, 6660, 1058, 711, 5612, 6861, 621, 607, 952, 621, 941, 4666, 269, 2271, 2400, 14450, 2337, 547, 11177, 519, 1753, 8768, 538, 513, 2110, 942, 267, 1282, 799, 631, 1176, 320, 1232, 904, 543, 5956, 547, 1020, 2417, 563, 22296, 764, 12040, 6660, 320, 14560, 1216, 5773, 538, 519, 1106, 540, 513, 3636, 17643, 543, 30574, 543, 1281, 711, 899, 13897, 593, 1200, 3762, 693, 782, 563, 23409, 543, 2837, 454, 763, 1034, 6099, 2837, 786, 581, 606, 13525, 540, 476, 1240, 11019, 595, 269, 1879, 12391, 585, 5144, 15634, 6660, 267, 621, 1590, 581, 15422, 602, 16715, 519, 4110, 4336, 2630, 476, 1015, 11019, 595, 786, 581, 17672, 547, 519, 8768, 563, 23409, 585, 22447, 15634, 6660, 2280, 568, 540, 1100, 1507, 2956, 267, 1317, 519, 7013, 2427, 540, 519, 4055, 786, 581, 519, 1655, 1747, 547, 1747, 513, 8768, 1494, 269, 1879, 519, 3636, 4005, 5956, 267, 1082, 8768, 25210, 1491, 856, 741, 11255, 8768, 547, 4195, 2011, 610, 1098, 680, 5896, 883, 519, 1930, 2666, 585, 519, 4832, 1974, 563, 306, 3975, 13530, 543, 18309, 454, 4263, 1753, 267, 10316, 552, 25045, 12643, 807, 666, 581, 9070, 730, 676, 27191, 269, 22447, 15634, 568, 5393, 10355, 6738, 676, 5452, 269, 1411, 666, 798, 713, 1318, 2476, 950, 5614, 2501, 563, 5522, 13589, 676, 27191, 454, 1607, 568, 519, 1034, 15028, 1259, 547, 29608, 519, 6660, 320, 3099, 269, 901, 568, 2944, 676, 5969, 519, 5580, 851, 540, 519, 27191, 543, 11093, 621, 538, 3037, 267, 1500, 676, 11544, 5070, 543, 24435, 3334, 269, 6969, 9544, 513, 2759, 31537, 267, 621, 568, 1019, 5529, 585, 513, 1247, 538, 1216, 865, 602, 5144, 344, 10433, 8928, 856, 540, 519, 20105, 269, 1280, 12630, 27191, 1711, 513, 8511, 676, 8720, 519, 1283, 609, 513, 4670, 269, 898, 568, 1732, 547, 3597, 519, 16013, 4364, 31537, 676, 519, 4087, 540, 519, 6079, 1782, 538, 513, 3636, 1747, 281, 593, 519, 23041, 610, 6007, 563, 8601, 519, 1434, 23286, 540, 6660, 320, 781, 5144, 15634, 5452, 267, 713, 1505, 540, 18640, 568, 10355, 1031, 267, 607, 621, 1419, 5012, 547, 519, 2530, 540, 1083, 13926, 7907, 540, 519, 2030, 269, 6271, 21677, 547, 6079, 18640, 568, 741, 2352, 4015, 563, 7468, 12941, 568, 2944, 547, 1106, 519, 13862, 540, 519, 8768, 269, 2558, 574, 621, 568, 2556, 538, 519, 8880, 4287, 267, 8930, 4221, 519, 25568, 267, 1287, 782, 519, 2427, 14401, 269, 1879, 519, 2030, 9428, 547, 519, 5551, 4463, 267, 519, 3003, 13862, 540, 621, 568, 5781, 16013, 4364, 269, 0, 763, 3670, 1016, 26753, 540, 6211, 19795, 27146, 26331, 12779, 15351, 6605, 1108, 6915, 1105, 2801, 1108, 7636, 19795, 18837, 19795, 543, 1480, 7350, 718, 948, 721, 1174, 1018, 621, 1797, 547, 581, 31127, 1480, 269, 4317, 9443, 616, 513, 1895, 540, 4081, 10459, 602, 4983, 2486, 543, 875, 1004, 2170, 543, 1020, 607, 513, 2528, 269, 32680, 1143, 281, 634, 2990, 2687, 547, 901, 814, 4547, 513, 2603, 540, 3765, 24483, 2523, 538, 519, 2361, 540, 6138, 540, 19795, 269, 22108, 269, 11096, 28441, 15766, 725, 568, 5258, 883, 1079, 2694, 267, 9967, 540, 1018, 654, 8636, 2102, 7322, 7125, 267, 538, 519, 840, 2183, 267, 645, 655, 17064, 684, 2102, 267, 12261, 676, 5775, 1260, 2041, 607, 834, 516, 12201, 257, 907, 589, 5619, 1851, 1977, 6280, 543, 2852, 634, 2832, 540, 713, 1957, 568, 547, 1011, 6510, 519, 2470, 540, 519, 824, 543, 519, 1582, 607, 789, 2049, 538, 19795, 543, 6138, 267, 3976, 5466, 519, 7915, 13253, 538, 17801, 2762, 269, 13898, 540, 812, 267, 10952, 19795, 1547, 769, 1840, 267, 6466, 6530, 1152, 11099, 538, 2067, 3137, 585, 9259, 267, 31188, 2103, 849, 3494, 538, 910, 674, 269, 2274, 305, 517, 1744, 6699, 267, 1234, 14127, 634, 1670, 28668, 281, 2991, 519, 11096, 28441, 898, 9607, 3425, 607, 2813, 538, 519, 3239, 540, 2696, 267, 609, 513, 2027, 769, 519, 476, 1240, 628, 2540, 267, 19795, 729, 519, 7936, 540, 6138, 602, 5795, 606, 2272, 540, 1480, 2470, 269, 1414, 601, 334, 268, 629, 5724, 6270, 606, 7881, 10522, 543, 1095, 6269, 4680, 513, 10952, 19795, 10236, 31532, 269, 11096, 28441, 19795, 3340, 513, 1950, 1505, 602, 896, 6050, 922, 1808, 3344, 540, 14374, 1247, 693, 519, 1482, 942, 5329, 538, 2247, 1018, 621, 814, 538, 1455, 609, 1022, 1382, 602, 814, 454, 8698, 519, 8144, 267, 4214, 267, 2495, 267, 16606, 543, 1806, 585, 11096, 28441, 19795, 267, 1451, 19655, 267, 1884, 11618, 267, 543, 6432, 547, 901, 10952, 3350, 14129, 593, 519, 3390, 540, 1480, 7744, 543, 3621, 3206, 269, 8176, 23759, 517, 267, 1323, 4985, 547, 634, 1670, 28668, 267, 5345, 13370, 476, 2537, 269, 273, 630, 11764, 1067, 476, 1220, 276, 2567, 476, 7871, 268, 8618, 269, 2243, 267, 1772, 972, 1022, 2262, 689, 519, 7083, 286, 630, 297, 699, 31109, 476, 4391, 281, 1704, 1070, 649, 2626, 267, 8786, 269, 593, 519, 5274, 12287, 269, 4014, 621, 729, 519, 4102, 543, 1034, 14427, 2659, 291, 5315, 4214, 543, 6165, 1383, 269, 3245, 10952, 19795, 267, 1978, 1843, 687, 11341, 547, 519, 1480, 1373, 17748, 616, 5587, 1881, 269, 27801, 338, 543, 2853, 827, 1072, 4268, 2066, 1114, 4529, 543, 616, 6766, 676, 1514, 267, 3909, 267, 2797, 267, 3140, 267, 543, 2804, 2188, 269, 1306, 513, 10952, 6240, 267, 2868, 1143, 3274, 4016, 547, 519, 13429, 602, 1100, 1950, 11769, 666, 581, 2808, 547, 581, 1100, 811, 982, 519, 2040, 540, 922, 2694, 269, 11096, 28441, 28668, 269, 13898, 540, 19795, 6663, 547, 3565, 547, 938, 1620, 540, 19795, 607, 513, 9015, 998, 3257, 6138, 269, 2296, 9218, 2433, 874, 3342, 28441, 19795, 2495, 267, 10952, 19795, 4214, 267, 10952, 19795, 6215, 836, 267, 1018, 1281, 10952, 10952, 19795, 16858, 547, 9718, 922, 2565, 543, 27696, 1599, 3823, 782, 1346, 9443, 602, 4308, 609, 930, 3344, 540, 519, 1480, 1373, 543, 3409, 606, 12600, 1318, 547, 798, 865, 269, 1133, 4328, 782, 540, 891, 13753, 540, 4173, 10249, 10952, 2219, 568, 519, 936, 31186, 6249, 540, 19795, 269, 5358, 10615, 281, 6424, 17713, 523, 269, 12791, 540, 10952, 19795, 269, 28668, 4214, 267, 519, 2257, 602, 9388, 609, 519, 8129, 267, 2168, 543, 2686, 1646, 267, 6211, 4162, 267, 543, 1514, 9821, 543, 4978, 540, 30768, 269, 476, 272, 269, 657, 28441, 14506, 5845, 4586, 1607, 1257, 267, 2854, 676, 20485, 1323, 1383, 540, 2576, 945, 2090, 19795, 568, 25288, 31409, 269, 898, 454, 2467, 568, 5266, 2370, 1344, 827, 10952, 19795, 267, 6148, 596, 666, 4585, 513, 19636, 1650, 547, 6001, 707, 7099, 267, 594, 6999, 596, 513, 6126, 1554, 256, 1452, 5784, 267, 7184, 693, 13065, 609, 519, 3504, 10952, 543, 2686, 2245, 267, 1008, 12097, 2705, 18979, 9880, 538, 4864, 1149, 10715, 543, 723, 267, 1586, 267, 1044, 25525, 3585, 10353, 538, 519, 14206, 543, 8938, 23867, 5553, 689, 1585, 630, 324, 3052, 1421, 1480, 626, 267, 12666, 267, 15594, 264, 1796, 9557, 269, 11153, 8847, 723, 1044, 11540, 609, 606, 3801, 547, 5581, 519, 2262, 1480, 1373, 269, 3778, 9147, 11096, 28441, 2042, 4125, 519, 829, 14658, 532, 267, 581, 32612, 1359, 267, 7138, 1782, 610, 28430, 269, 8633, 269, 11096, 28441, 28668, 269, 13898, 540, 812, 267, 10952, 19795, 543, 476, 2537, 1278, 9443, 827, 812, 476, 276, 269, 834, 9213, 538, 938, 3735, 2413, 2528, 649, 1265, 513, 3395, 27025, 8351, 609, 519, 3954, 12568, 540, 1480, 20032, 543, 1514, 640, 602, 6353, 865, 1454, 3504, 543, 2038, 2413, 19795, 269, 4322, 4145, 723, 818, 17470, 538, 4276, 609, 1018, 594, 1289, 519, 10952, 834, 339, 1248, 547, 22228, 640, 1701, 1452, 4657, 4205, 543, 938, 1620, 540, 4641, 543, 1702, 666, 15217, 581, 1572, 6422, 6138, 269, 590, 8016, 476, 21076, 910, 14362, 540, 28668, 594, 269, 769, 638, 2231, 883, 519, 8129, 267, 1646, 267, 543, 29159, 540, 1480, 7350, 543, 1480, 4529, 269, 22291, 8093, 5638, 267, 2168, 8129, 540, 1480, 1646, 267, 1480, 2551, 11976, 267, 23316, 267, 4529, 262, 8129, 543, 8390, 267, 543, 3140, 543, 4207, 2079, 540, 1480, 7239, 269, 1809, 972, 568, 513, 2619, 998, 713, 598, 1495, 5300, 269, 11096, 28441, 15766, 725, 630, 23389, 281, 11096, 2684, 27528, 1133, 1562, 1276, 684, 2102, 264, 568, 513, 960, 676, 519, 14544, 32400, 654, 8636, 2102, 7322, 267, 3370, 2022, 21065, 3585, 538, 476, 4198, 274, 907, 3162, 3979, 2782, 267, 849, 1572, 4425, 518, 2782, 267, 5822, 4425, 518, 2782, 267, 610, 17454, 5174, 334, 518, 2782, 282, 547, 2279, 686, 16988, 619, 267, 849, 1572, 5822, 2782, 540, 14412, 267, 2112, 10692, 689, 5239, 476, 1556, 267, 476, 6245, 280, 267, 547, 2904, 476, 4029, 267, 476, 5002, 273, 267, 1063, 4279, 6628, 543, 519, 1079, 4425, 518, 630, 17682, 686, 16988, 518, 264, 14081, 560, 515, 3162, 3979, 6243, 630, 9558, 9366, 531, 264, 543, 519, 21060, 5131, 3557, 14310, 532, 538, 3703, 11802, 269, 13898, 630, 5228, 5259, 281, 2073, 9158, 807, 267, 1412, 331, 913, 540, 7326, 10807, 568, 519, 1062, 520, 1242, 1353, 540, 2489, 543, 4909, 2055, 267, 971, 607, 1346, 827, 6228, 267, 2601, 267, 1702, 267, 2418, 267, 476, 274, 269, 2296, 9218, 2433, 874, 3342, 28441, 19795, 2495, 267, 10952, 19795, 4214, 267, 10952, 19795, 6215, 836, 267, 1018, 1281, 10952, 19795, 1611, 286, 11096, 28441, 19795, 568, 519, 10952, 9015, 602, 22679, 2231, 883, 519, 9759, 540, 1480, 2470, 543, 519, 1480, 2783, 269, 1703, 1152, 568, 513, 10155, 547, 1142, 14374, 1141, 1082, 267, 952, 711, 782, 267, 540, 519, 2055, 15806, 6318, 616, 1713, 269, 15742, 5640, 723, 13986, 547, 30881, 891, 2474, 282, 18562, 267, 789, 616, 4749, 1031, 30430, 269, 17397, 676, 6902, 795, 731, 710, 7580, 3180, 902, 6009, 282, 875, 547, 20441, 513, 8378, 609, 1483, 10040, 8105, 2755, 2022, 19640, 1143, 19752, 513, 1297, 540, 1919, 267, 540, 1880, 3310, 538, 6138, 568, 14639, 6363, 3757, 12251, 10370, 582, 1841, 4214, 540, 2022, 19640, 1143, 607, 606, 5335, 592, 640, 4724, 1558, 534, 1551, 2510, 630, 299, 344, 582, 731, 267, 5403, 19640, 16448, 267, 1535, 343, 643, 1040, 27603, 267, 10459, 602, 7048, 593, 1200, 332, 2940, 583, 923, 1331, 18381, 267, 2523, 19978, 2090, 267, 10883, 1440, 28619, 267, 543, 4915, 267, 607, 1134, 607, 930, 540, 519, 1480, 9443, 267, 1514, 9443, 267, 543, 23408, 269, 11682 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 513, 12300, 11477, 7045, 14869, 539, 538, 14082, 6561, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2026, 513, 13730, 1426, 24158, 267, 594, 723, 2141, 5156, 602, 519, 2295, 540, 1022, 1390, 7552, 6013, 538, 519, 2199, 11951, 269, 1656, 950, 621, 2501, 547, 590, 842, 571, 267, 17577, 267, 519, 11477, 6429, 568, 606, 6207, 10508, 269, 769, 713, 2376, 267, 594, 786, 2671, 5216, 1898, 4388, 585, 645, 261, 289, 5411, 538, 590, 842, 571, 945, 1616, 547, 4196, 8076, 14082, 8286, 547, 741, 14538, 269, 3245, 27126, 4195, 5820, 547, 2870, 513, 3309, 10624, 267, 1205, 4712, 547, 7832, 593, 513, 11477, 3460, 602, 786, 4734, 707, 6492, 19512, 581, 21794, 585, 811, 563, 22913, 532, 12465, 14082, 31204, 454, 2026, 519, 27697, 693, 513, 590, 842, 571, 645, 261, 289, 267, 594, 4749, 4487, 2757, 14082, 10346, 547, 2327, 606, 8076, 11477, 1995, 585, 938, 14538, 269, 1717, 267, 594, 849, 2972, 8380, 2413, 23538, 593, 891, 2757, 8286, 267, 4946, 513, 2189, 5905, 547, 938, 10624, 269, 1635, 6220, 1007, 5820, 543, 2553, 267, 594, 993, 2111, 547, 1711, 5499, 10366, 1247, 1869, 26621, 519, 9759, 540, 14082, 11951, 269, 10289, 14758, 1634, 14082, 8286, 568, 1776, 1259, 594, 1832, 938, 10624, 3078, 543, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 5353, 2378, 797, 19731, 338, 257, 607, 851, 540, 834, 23733, 1315, 13636, 1299, 8836, 1315, 14082, 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, 5149, 476, 275, 269, 274, 281, 10289, 661, 8527, 6291, 543, 715, 8775, 5525, 998, 3203, 281, 589, 10312, 593, 519, 4518, 540, 5204, 323, 4446, 21884, 543, 15332, 692, 1103, 713, 1770, 267, 649, 5490, 883, 519, 4241, 7706, 540, 2144, 5328, 1143, 543, 562, 8775, 2090, 1369, 1148, 267, 1210, 519, 960, 540, 20369, 32676, 545, 4224, 22459, 5204, 323, 4446, 21884, 543, 1010, 17581, 634, 8496, 5115, 700, 2795, 338, 607, 513, 2013, 1353, 269, 1284, 786, 4983, 875, 5159, 946, 519, 1480, 1106, 547, 6655, 1950, 4798, 971, 607, 7287, 267, 14920, 267, 3961, 267, 543, 1514, 21437, 1247, 11319, 6302, 543, 4101, 6848, 8155, 269, 3414, 6297, 2079, 540, 1568, 899, 4446, 21884, 781, 267, 649, 666, 1732, 1174, 519, 1379, 6384, 693, 1404, 950, 8204, 8763, 5396, 543, 5660, 519, 3140, 2796, 602, 7506, 4207, 5380, 593, 562, 644, 640, 543, 2144, 582, 3821, 780, 296, 269, 8466, 12745, 281, 3493, 11881, 540, 715, 644, 640, 543, 11557, 7081, 538, 3203, 454, 288, 269, 9147, 12977, 543, 741, 11269, 540, 12680, 15831, 525, 267, 21847, 267, 543, 24587, 454, 289, 269, 11193, 16431, 540, 5898, 543, 8167, 30833, 998, 562, 26360, 454, 290, 269, 21434, 1974, 781, 1445, 593, 7553, 267, 2283, 7081, 267, 543, 1367, 1995, 454, 291, 269, 7073, 626, 29293, 540, 26610, 267, 27727, 267, 543, 2215, 527, 13659, 454, 292, 269, 5403, 19640, 31886, 540, 6041, 267, 1843, 2305, 267, 543, 12796, 2305, 692, 2862, 269, 4197, 661, 8527, 6291, 543, 4706, 10020, 538, 3203, 454, 288, 269, 20223, 2144, 5328, 1143, 281, 519, 3929, 267, 7214, 267, 610, 5626, 13489, 337, 902, 19310, 1243, 676, 26007, 540, 14920, 454, 289, 269, 24167, 2686, 3604, 538, 11994, 540, 2144, 5328, 1143, 5288, 27127, 2762, 454, 290, 269, 1215, 5159, 6330, 24890, 4031, 267, 5837, 9479, 267, 543, 13346, 1857, 8369, 454, 291, 269, 8865, 5530, 281, 22718, 519, 1909, 540, 2144, 5328, 1143, 538, 634, 8496, 5115, 700, 2795, 338, 1394, 3382, 3239, 692, 7656, 269, 11724, 532, 6468, 538, 3203, 281, 5295, 18868, 543, 8629, 2305, 454, 288, 269, 21058, 562, 26360, 2429, 1686, 281, 19026, 5515, 267, 5212, 23653, 13196, 267, 543, 8930, 5725, 454, 289, 269, 7600, 1172, 532, 519, 5256, 22401, 281, 15594, 12496, 540, 4775, 6041, 454, 290, 269, 1546, 24554, 532, 4008, 5107, 543, 6788, 538, 3308, 2528, 454, 291, 269, 1234, 8010, 532, 8116, 281, 2021, 5159, 28196, 1456, 1582, 3146, 335, 19948, 543, 2144, 5328, 4082, 454, 292, 269, 16792, 891, 2093, 547, 519, 8004, 593, 634, 8496, 5115, 700, 2795, 338, 1394, 3382, 692, 4353, 269, 12634, 21126, 593, 715, 8775, 5525, 543, 661, 8527, 3821, 454, 288, 269, 24021, 3466, 538, 2773, 1148, 267, 10344, 267, 543, 3059, 2923, 454, 289, 269, 20985, 3785, 3695, 25055, 267, 9844, 267, 543, 13438, 454, 290, 269, 12694, 5185, 676, 2413, 5159, 2324, 609, 8763, 11052, 454, 291, 269, 15979, 540, 18071, 543, 26084, 2144, 5328, 11247, 538, 26847, 543, 2228, 5867, 454, 292, 269, 7351, 9840, 4478, 3023, 25273, 267, 13784, 267, 543, 28622, 692, 309, 269, 15858, 11314, 281, 12056, 4841, 609, 5262, 2159, 12474, 454, 288, 269, 26787, 4808, 543, 2922, 5624, 585, 7234, 6213, 3584, 454, 289, 269, 18964, 2565, 3206, 543, 6568, 2509, 3309, 16752, 454, 290, 269, 30459, 19180, 2200, 543, 16823, 10529, 585, 6626, 5380, 454, 291, 269, 14484, 633, 5751, 547, 15052, 2123, 4296, 543, 6536, 2208, 454, 292, 269, 2871, 4575, 1053, 538, 2870, 5483, 6114, 547, 11786, 1568, 540, 1148, 692, 9961, 713, 1770, 267, 621, 568, 1898, 547, 1935, 5717, 540, 2144, 5328, 1143, 543, 562, 8775, 2090, 609, 8417, 267, 8356, 766, 267, 543, 2463, 269, 1635, 2502, 16175, 609, 891, 1950, 2152, 267, 1053, 666, 11349, 513, 4514, 7071, 585, 7499, 5191, 267, 5876, 267, 543, 5647, 2066, 4529, 543, 942, 5712, 269, 11086, 267, 1620, 519, 4720, 540, 8763, 5396, 538, 1148, 2636, 721, 547, 2992, 811, 25340, 2390, 6000, 267, 938, 13821, 267, 543, 938, 1747, 1369, 2486, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1607, 2985, 3568, 782, 519, 4930, 602, 6474, 519, 808, 10154, 1975, 2231, 2389, 698, 267, 12225, 10999, 15044, 267, 689, 2025, 547, 1007, 563, 7197, 26292, 723, 513, 3406, 1599, 630, 290, 27530, 6363, 264, 602, 786, 5031, 519, 7127, 596, 616, 3168, 585, 563, 21446, 8271, 972, 568, 519, 1412, 295, 8432, 9612, 262, 3406, 2361, 543, 519, 1412, 30357, 4289, 23823, 263, 1607, 568, 851, 1079, 540, 938, 7720, 14765, 12139, 2689, 267, 585, 851, 835, 267, 4945, 1934, 1916, 2026, 952, 519, 1158, 814, 10393, 1044, 5734, 676, 513, 13796, 678, 3424, 538, 838, 659, 8135, 454, 1492, 4728, 476, 1001, 271, 3390, 540, 7720, 14765, 2575, 12139, 814, 538, 1495, 730, 519, 8637, 454, 321, 8960, 513, 2462, 630, 338, 2775, 569, 6337, 7749, 6244, 264, 17855, 540, 513, 544, 3563, 5204, 323, 4446, 21884, 563, 763, 1134, 27787, 543, 2864, 4977, 3382, 2376, 267, 676, 4793, 31408, 2676, 337, 5190, 689, 2985, 476, 3583, 547, 476, 10037, 543, 6645, 519, 1650, 540, 634, 8496, 5115, 700, 2795, 338, 267, 5204, 323, 454, 289, 19128, 1777, 779, 1101, 21088, 17581, 563, 10521, 824, 4930, 616, 540, 1880, 1719, 547, 519, 5783, 607, 789, 454, 9188, 9216, 519, 26704, 4527, 540, 513, 2048, 326, 20071, 4171, 21736, 1560, 1178, 1027, 519, 454, 3724, 3382, 540, 634, 8496, 5115, 700, 2795, 338, 17483, 933, 5941, 519, 5808, 779, 2334, 21756, 2376, 2854, 676, 4460, 454, 7922, 820, 267, 543, 713, 3018, 519, 5783, 786, 521, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 26353, 1315, 23527, 1299, 21771, 1315, 661, 8527, 3821, 1315, 715, 8775, 5525, 630, 2750, 14032, 1040, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 1858, 563, 1607, 5244, 2709, 8458, 585, 2686, 2833, 609, 835, 540, 519, 2199, 2516, 2713, 693, 519, 3723, 540, 519, 10239, 269, 4475, 267, 14666, 666, 979, 543, 3643, 519, 8498, 540, 11676, 18223, 547, 2263, 519, 15231, 25234, 517, 15605, 1895, 693, 519, 7823, 19527, 269, 2353, 538, 782, 267, 519, 25234, 517, 15605, 1004, 6582, 2686, 7544, 12644, 1247, 4687, 1344, 827, 741, 1686, 563, 763, 6288, 14747, 936, 476, 24241, 6177, 2249, 1519, 476, 866, 15751, 710, 681, 3424, 1439, 12515, 269, 7316, 2421, 1034, 540, 873, 666, 581, 1336, 538, 519, 4104, 10851, 543, 476, 1704, 540, 476, 24241, 6177, 2249, 666, 1152, 581, 1336, 538, 27431, 20044, 9461, 269, 634, 6177, 2249, 1331, 282, 24732, 727, 17012, 3712, 514, 267, 27431, 20044, 9461, 570, 3120, 1723, 267, 7043, 3887, 1563, 26449, 267, 4446, 1042, 7043, 26904, 595, 3089, 5622, 563, 289, 2465, 3887, 831, 267, 5899, 1052, 1284, 11232, 267, 1488, 7129, 685, 28120, 7302, 520, 267, 27431, 20044, 9461, 645, 15384, 267, 6519, 3613, 541, 1042, 28120, 269, 8053, 2033, 1924, 582, 344, 645, 12874, 537, 267, 6215, 2658, 1532, 2683, 10060, 1782, 267, 20698, 6577, 779, 17312, 1744, 686, 651, 267, 9791, 32567, 6129, 12704, 269, 15016, 1115, 267, 13642, 26310, 539, 6129, 12704, 267, 5682, 321, 6160, 267, 26850, 13906, 7129, 267, 13711, 6089, 539, 3141, 12704, 267, 21221, 9932, 3391, 267, 2142, 12023, 642, 30743, 267, 3092, 563, 10817, 3660, 2470, 15211, 543, 19482, 454, 2690, 1346, 945, 3112, 1491, 513, 4161, 540, 19482, 547, 519, 12540, 615, 7534, 596, 666, 1904, 547, 1491, 513, 11461, 2470, 3802, 1472, 519, 2146, 269, 901, 13858, 2534, 2705, 3947, 596, 513, 4960, 547, 3802, 609, 519, 4104, 9087, 1054, 1571, 593, 3723, 609, 606, 4810, 678, 9734, 1210, 519, 3844, 5547, 563, 2080, 267, 1114, 18162, 666, 581, 1031, 1282, 519, 19482, 1184, 602, 779, 547, 2161, 8235, 10067, 5448, 543, 8738, 16619, 32315, 345, 2465, 4104, 269, 4438, 519, 2470, 3802, 267, 8436, 786, 581, 2111, 547, 1294, 5211, 631, 889, 4157, 340, 585, 5784, 540, 22823, 543, 22045, 19589, 269, 6777, 2275, 11474, 12540, 615, 7534, 8445, 267, 2070, 25277, 267, 966, 2925, 339, 22171, 607, 1134, 607, 669, 877, 548, 976, 563, 1692, 547, 1205, 547, 519, 5244, 454, 2791, 666, 1491, 513, 16516, 8184, 689, 9980, 20623, 2041, 4139, 19633, 547, 918, 1162, 324, 5794, 7615, 269, 1411, 666, 607, 1134, 3914, 519, 6288, 689, 918, 2086, 8403, 3842, 10783, 5800, 531, 563, 763, 6288, 814, 3893, 513, 2603, 540, 25778, 2471, 267, 13122, 1299, 20730, 585, 22098, 8151, 689, 17195, 267, 6578, 543, 4571, 24365, 269, 5015, 891, 616, 2139, 1312, 3330, 543, 3544, 519, 6288, 269, 1411, 666, 607, 1134, 1433, 707, 22098, 998, 938, 2754, 543, 2038, 1433, 902, 616, 15695, 563, 268, 18479, 11244, 26111, 700, 17690, 454, 268, 11676, 18223, 7991, 8805, 454, 268, 5975, 3559, 2871, 652, 2777, 454, 268, 23427, 14205, 20087, 2871, 652, 5600, 454, 268, 9791, 3397, 4821, 2871, 652, 5600, 454, 293, 650, 538, 519, 1106, 2630, 547, 1205, 547, 2974, 0, 13528, 566, 538, 11176, 4016, 547, 519, 1259, 5716, 616, 17479, 593, 519, 2361, 693, 519, 1376, 540, 513, 6474, 267, 543, 1282, 513, 3014, 269, 1452, 7158, 616, 5462, 676, 519, 16455, 1759, 593, 519, 2319, 781, 9342, 267, 12755, 267, 543, 12485, 563, 13528, 566, 11887, 875, 1082, 5716, 616, 538, 8878, 267, 4571, 7615, 267, 543, 4323, 267, 543, 1141, 789, 616, 17479, 269, 634, 5250, 568, 2356, 20922, 676, 513, 3126, 540, 2338, 602, 2099, 519, 1297, 540, 5716, 538, 1142, 2990, 267, 4358, 609, 519, 3804, 24010, 543, 1287, 519, 9718, 619, 267, 4571, 7615, 619, 267, 543, 585, 2072, 563, 763, 5250, 5540, 519, 2319, 781, 4730, 2511, 543, 4640, 269, 1280, 3236, 267, 513, 5250, 609, 811, 9718, 619, 949, 1445, 593, 21108, 543, 4831, 31281, 22326, 267, 1247, 513, 5250, 609, 811, 22215, 5716, 949, 4225, 22215, 543, 15896, 269, 3958, 267, 519, 5250, 666, 581, 14661, 1282, 519, 3014, 547, 3082, 547, 4657, 6381, 267, 971, 607, 7063, 610, 513, 991, 547, 6060, 513, 3804, 563, 2690, 1383, 267, 513, 476, 275, 268, 275, 268, 273, 5250, 6920, 602, 972, 616, 2185, 9718, 619, 267, 2185, 4571, 7615, 619, 267, 543, 1079, 585, 2072, 269, 634, 2338, 666, 849, 581, 11231, 8335, 267, 971, 607, 538, 513, 476, 274, 268, 276, 268, 273, 610, 513, 476, 275, 268, 274, 268, 274, 5250, 269, 3213, 2851, 666, 3442, 513, 5250, 1759, 593, 1585, 2188, 267, 971, 607, 519, 9342, 543, 12755, 540, 741, 2319, 267, 519, 18545, 781, 4730, 2511, 267, 543, 519, 6474, 3510, 563, 763, 5250, 4259, 568, 6074, 676, 519, 2319, 781, 16455, 1354, 543, 1282, 519, 3014, 267, 543, 5716, 1590, 15666, 547, 621, 563, 2467, 616, 1082, 1114, 2010, 540, 21272, 538, 11176, 267, 1142, 609, 922, 1378, 5383, 543, 11393, 269, 12989, 568, 519, 1592, 540, 21272, 602, 616, 4122, 1031, 676, 11176, 6887, 281, 0, 293, 9711, 6168, 19343, 454, 4407, 19343, 1554, 568, 1175, 513, 1906, 2395, 2476, 267, 1577, 779, 2671, 930, 4277, 5013, 543, 535, 1963, 827, 19343, 799, 568, 849, 1634, 607, 2353, 19343, 610, 2353, 18865, 779, 552, 557, 269, 898, 729, 4505, 9976, 607, 2353, 29513, 18832, 607, 1134, 269, 19343, 4303, 568, 9976, 1169, 1032, 547, 1665, 519, 552, 557, 950, 15293, 338, 543, 979, 4565, 1231, 616, 5156, 547, 581, 3742, 269, 1717, 519, 24996, 540, 9644, 543, 1187, 814, 24673, 609, 519, 11812, 543, 621, 814, 1831, 513, 2442, 1554, 540, 3214, 543, 19920, 1932, 607, 789, 1118, 5789, 787, 676, 1810, 940, 19343, 24853, 543, 13968, 267, 4259, 10793, 744, 685, 26816, 3179, 693, 9486, 267, 824, 575, 17924, 1501, 23598, 543, 27300, 2027, 838, 809, 344, 19343, 13344, 585, 713, 20807, 532, 13037, 563, 2005, 568, 9976, 538, 513, 1804, 1297, 540, 2477, 543, 6140, 538, 519, 7262, 1158, 593, 519, 476, 4029, 560, 540, 5239, 269, 634, 1554, 950, 713, 15293, 569, 552, 557, 568, 9976, 849, 7436, 519, 1439, 540, 519, 7556, 4005, 543, 519, 4098, 540, 5162, 563, 27670, 543, 12791, 540, 19343, 454, 14532, 540, 19343, 7389, 1394, 547, 5664, 12698, 267, 3592, 476, 1220, 271, 1296, 3516, 269, 634, 21055, 2495, 540, 19343, 568, 519, 10543, 1354, 519, 2353, 8065, 3298, 610, 2353, 29513, 1554, 799, 568, 513, 18216, 4301, 1554, 602, 22842, 14326, 540, 12004, 344, 3464, 543, 4168, 25598, 269, 634, 2353, 29513, 1554, 538, 8567, 568, 4767, 593, 476, 272, 560, 540, 5437, 543, 8754, 519, 18865, 324, 839, 1554, 8813, 593, 476, 4029, 560, 5239, 269, 1306, 4767, 585, 26902, 6235, 543, 19551, 14326, 540, 25598, 267, 519, 1554, 729, 7930, 16033, 730, 676, 9849, 15293, 569, 24853, 543, 13968, 563, 2467, 616, 849, 2178, 8100, 540, 19343, 1554, 2348, 606, 7681, 609, 519, 6341, 327, 664, 610, 7736, 540, 14400, 11812, 10416, 10362, 547, 8581, 543, 10430, 269, 898, 568, 1767, 602, 19343, 16873, 941, 9411, 883, 519, 2136, 2276, 1152, 538, 519, 476, 5002, 271, 338, 563, 23895, 14896, 908, 19343, 543, 10793, 744, 685, 28469, 3179, 454, 763, 11812, 540, 19343, 814, 922, 5072, 538, 25384, 4984, 799, 22842, 15293, 338, 543, 14326, 269, 634, 1554, 568, 2663, 2404, 609, 4168, 4984, 779, 2353, 25598, 1554, 563, 23895, 14896, 908, 18865, 324, 839, 4303, 568, 2603, 811, 982, 1175, 31496, 543, 24853, 269, 18270, 622, 713, 19343, 609, 519, 5767, 4015, 540, 19343, 717, 22284, 5177, 269, 2961, 1324, 856, 27124, 9469, 1310, 1818, 621, 17860, 543, 8380, 606, 3366, 1769, 3330, 621, 1711, 519, 10793, 744, 685, 28469, 3179, 547, 13793, 693, 519, 9486, 610, 9170, 538, 519, 2777, 596, 1616, 269, 634, 20077, 26816, 3179, 21843, 519, 14326, 543, 849, 1769, 523, 909, 519, 2777, 538, 838, 809, 344, 23732, 269, 634, 1165, 9383, 2803, 4866, 547, 8581, 1141, 2490, 760, 729, 20077, 543, 1500, 883, 513, 18187, 320, 540, 15293, 569, 8188, 269, 1717, 267, 519, 1482, 2245, 14612, 547, 2475, 1141, 6802, 9469, 8719, 2490, 2354, 543, 12277, 540, 8581, 269, 2961, 1386, 6802, 9469, 538, 519, 3778, 540, 19343, 723, 741, 5169, 538, 9721, 18691, 799, 4978, 513, 812, 1572, 853, 532, 344, 10793, 4171, 6891, 568, 887, 5446, 519, 3618, 609, 513, 5755, 538, 513, 20077, 2490, 760, 1310, 646, 729, 17792, 513, 1747, 538, 22946, 607, 1134, 13140, 563, 763, 10793, 744, 685, 299, 534, 3179, 610, 20077, 543, 1769, 539, 6802, 9469, 723, 1831, 606, 7533, 851, 540, 19343, 7908, 8481, 269, 769, 2413, 2395, 267, 713, 1554, 540, 22530, 819, 543, 14326, 568, 4797, 543, 568, 9976, 676, 18530, 19343, 6105, 267, 19343, 28076, 6105, 267, 676, 905, 8463, 593, 19343, 12897, 543, 31496, 543, 10317, 1154, 15210, 3283, 609, 19343, 13344, 1932, 269, 19343, 24853, 267, 13968, 267, 31148, 543, 2759, 856, 25394, 543, 12897, 543, 19343, 8768, 30504, 616, 4922, 6300, 6244, 543, 22064, 782, 936, 519, 1158, 593, 713, 1554, 563, 16665, 25103, 10778, 290, 885, 649, 5838, 547, 281, 0, 31323, 3154, 4616, 1524, 3592, 476, 736, 2600, 454, 291, 520, 8135, 281, 476, 1708, 274, 268, 6349, 268, 2190, 476, 6021, 281, 6349, 281, 1691, 454, 292, 2202, 753, 723, 2527, 1947, 4389, 741, 4616, 540, 2067, 3154, 267, 1310, 519, 1942, 540, 519, 8093, 4492, 6607, 13702, 9643, 7361, 607, 513, 1267, 540, 519, 6576, 27138, 330, 9627, 4655, 563, 763, 3864, 5742, 781, 4013, 7194, 8116, 267, 16402, 560, 520, 267, 1767, 713, 3018, 3154, 4616, 2066, 519, 476, 2767, 2173, 1897, 1025, 665, 729, 476, 866, 269, 274, 2600, 2539, 1063, 4864, 476, 1708, 273, 543, 5130, 476, 1708, 274, 982, 621, 729, 1282, 519, 1482, 1974, 538, 519, 18631, 2947, 1296, 563, 763, 8116, 1767, 519, 5458, 6749, 729, 2693, 14356, 9141, 676, 2777, 6868, 543, 4213, 16462, 547, 2569, 3790, 267, 14356, 30289, 547, 29099, 7646, 4365, 267, 543, 14356, 1317, 6800, 4941, 547, 1397, 789, 1705, 711, 991, 6739, 3154, 7727, 267, 799, 941, 519, 9167, 781, 1292, 2707, 1354, 519, 6576, 27138, 330, 9627, 4655, 3459, 269, 15243, 13495, 601, 267, 513, 9972, 12314, 693, 29457, 7702, 6052, 3194, 267, 5143, 519, 1234, 26407, 3377, 8116, 281, 834, 2171, 1430, 814, 9090, 5129, 513, 1360, 2462, 1909, 4799, 763, 9167, 267, 799, 1185, 4280, 3154, 6800, 547, 2759, 741, 4616, 676, 476, 1428, 2600, 547, 948, 8897, 922, 5912, 2476, 689, 6739, 3154, 267, 1767, 519, 476, 736, 2600, 2887, 729, 30122, 1434, 3377, 563, 8256, 28366, 2759, 4616, 519, 1034, 538, 18940, 267, 1141, 519, 2179, 540, 3154, 1031, 1282, 519, 1974, 729, 476, 6872, 269, 274, 2600, 1447, 982, 8912, 269, 26403, 807, 543, 13785, 849, 7494, 2759, 4616, 267, 676, 476, 5325, 269, 280, 2600, 543, 476, 2412, 269, 273, 2600, 267, 6606, 563, 763, 1589, 2389, 1678, 25362, 1122, 601, 1767, 4616, 538, 5125, 267, 799, 568, 519, 9167, 7887, 7082, 540, 3154, 267, 8593, 538, 5130, 4805, 676, 476, 2767, 2600, 1851, 3549, 267, 543, 676, 476, 1839, 2600, 1851, 10820, 563, 296, 516, 1633, 1152, 2759, 3154, 4616, 676, 476, 271, 269, 274, 2600, 267, 4352, 16402, 560, 520, 7074, 621, 729, 849, 519, 1152, 4182, 538, 519, 1025, 665, 602, 1185, 711, 16865, 3154, 538, 519, 2250, 689, 6576, 563, 763, 9167, 16865, 476, 14028, 5479, 12945, 7397, 540, 3154, 689, 6576, 1354, 519, 6576, 27138, 330, 9627, 4655, 3459, 267, 855, 267, 609, 519, 1025, 665, 28006, 2476, 689, 6739, 3154, 267, 621, 568, 1152, 1305, 547, 1104, 476, 736, 5479, 12945, 7397, 713, 1032, 267, 25204, 6199, 1767, 563, 4407, 519, 1942, 540, 3154, 6607, 13702, 9643, 1312, 1317, 540, 22520, 540, 3761, 543, 513, 21782, 538, 3747, 11911, 547, 519, 1574, 532, 540, 5046, 268, 866, 6855, 9993, 267, 519, 1942, 540, 519, 4492, 1705, 1376, 547, 6316, 1394, 1524, 538, 2342, 1282, 5412, 563, 307, 15665, 693, 2342, 781, 3056, 3154, 13398, 267, 519, 7170, 18734, 11120, 1006, 267, 6806, 593, 11728, 693, 476, 5392, 269, 9262, 20789, 338, 829, 19251, 1177, 3430, 16923, 267, 799, 729, 1454, 2539, 982, 519, 8445, 1942, 538, 4864, 540, 476, 24783, 20789, 338, 829, 19251, 1177, 3430, 16923, 269, 634, 1942, 2221, 267, 2705, 267, 1869, 24716, 609, 519, 9513, 3902, 540, 476, 1704, 20789, 338 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 607, 1599, 269, 634, 1942, 540, 519, 2816, 568, 5462, 676, 519, 1599, 535, 3287, 264, 1141, 1535, 4564, 519, 1297, 540, 3108, 519, 6009, 1491, 780, 325, 3287, 264, 815, 476, 1911, 343, 1341, 476, 2004, 692, 305, 2464, 292, 24086, 11550, 297, 17614, 692, 2690, 713, 1362, 267, 4584, 513, 3510, 602, 12211, 1079, 4632, 610, 2188, 602, 723, 930, 4990, 540, 7681, 780, 14300, 1384, 1892, 18323, 543, 6006, 2344, 5777, 454, 1892, 1133, 655, 7877, 543, 6760, 3928, 454, 1892, 2776, 27457, 2787, 30548, 7641, 16863, 692, 8340, 1614, 8424, 540, 1239, 267, 609, 1142, 6292, 2348, 513, 1871, 2404, 609, 835, 540, 519, 2188, 269, 4635, 1079, 540, 519, 8424, 267, 1265, 513, 1599, 602, 6257, 519, 2078, 269, 2060, 519, 3791, 6292, 267, 1449, 519, 1599, 780, 2791, 786, 581, 2838, 547, 1384, 272, 269, 4855, 1614, 8424, 540, 1239, 454, 273, 269, 4813, 606, 3830, 1210, 1079, 8424, 454, 274, 269, 10159, 18050, 6111, 540, 3830, 547, 519, 3791, 6292, 540, 1239, 454, 275, 269, 8073, 513, 3113, 609, 519, 1614, 8424, 543, 519, 3617, 1899, 780, 763, 3803, 1957, 1058, 581, 538, 14905, 3898, 780, 763, 1788, 5161, 519, 1739, 10467, 1384, 272, 269, 12706, 5025, 6363, 4233, 1107, 13445, 454, 273, 269, 12706, 5025, 6363, 4233, 1107, 18745, 454, 274, 269, 12706, 5025, 6363, 4233, 1107, 634, 9577, 454, 275, 269, 12706, 5025, 6363, 4233, 1107, 8641, 454, 276, 269, 12706, 5025, 6363, 4233, 1107, 7388, 1540, 5741, 454, 21995, 2934, 454, 1892, 5131, 2140, 2985, 543, 15853, 454, 1892, 1133, 15905, 26941, 454, 1892, 1773, 698, 14705, 6954, 10018, 454, 1892, 14559, 25746, 10018, 0, 346, 314, 5401, 300, 20687, 9948, 10926, 9349, 5658, 621, 692, 346, 314, 5401, 300, 20687, 9948, 10926, 295, 310, 318, 1724, 318, 1691, 318, 306, 5357, 692, 258, 670, 310, 318, 1724, 318, 1691, 318, 306, 5357, 910, 8525, 476, 272, 540, 476, 273, 661, 4596, 13136, 312, 14581, 700, 624, 999, 476, 1724, 261, 13718, 1607, 12744, 2982, 3817, 476, 272, 1700, 273, 269, 6178, 909, 547, 2070, 519, 2407, 1543, 780, 1607, 12744, 814, 17543, 23324, 6810, 269, 6178, 909, 547, 2070, 519, 2407, 4528, 780, 8698, 9509, 11657, 454, 1607, 568, 519, 1439, 540, 519, 12744, 269, 6178, 909, 547, 1569, 519, 1964, 540, 519, 3561, 780, 4462, 8971, 1540, 1257, 12744, 281, 8525, 476, 272, 540, 476, 273, 661, 4596, 13136, 312, 281, 14581, 267, 700, 624, 999, 476, 1724, 1299, 476, 1691, 1107, 25663, 308, 16739, 630, 272, 264, 634, 1297, 540, 8062, 543, 519, 5506, 540, 1967, 269, 3619, 936, 875, 713, 12211, 547, 519, 1383, 543, 1683, 519, 20932, 269, 630, 273, 264, 634, 1101, 1383, 1131, 581, 23642, 6706, 855, 519, 2034, 2013, 1131, 711, 269, 14301, 6486, 1510, 10682, 1131, 1291, 547, 513, 18670, 540, 519, 7115, 10421, 585, 513, 23642, 6706, 15331, 269, 630, 274, 264, 8382, 281, 562, 815, 476, 273, 269, 2060, 1079, 19184, 525, 596, 723, 513, 476, 2004, 260, 4960, 540, 3478, 476, 2004, 260, 9843, 630, 12487, 610, 8946, 1040, 3962, 2009, 6364, 814, 513, 476, 1839, 260, 4960, 281, 670, 295, 267, 10226, 267, 8946, 267, 570, 307, 269, 1280, 562, 815, 547, 1022, 9642, 1297, 630, 272, 267, 476, 274, 267, 476, 276, 267, 2560, 264, 972, 568, 513, 476, 271, 260, 4960, 540, 3478, 476, 2004, 260, 9843, 269, 1280, 562, 815, 476, 275, 610, 513, 3677, 1256, 1297, 519, 5506, 540, 3478, 476, 2004, 260, 9843, 4422, 1524, 269, 1280, 1383, 281, 562, 815, 476, 275, 814, 476, 273, 476, 275, 815, 476, 1626, 2009, 4093, 281, 630, 295, 295, 295, 295, 267, 670, 295, 12487, 267, 670, 295, 8025, 267, 670, 12487, 307, 267, 670, 8025, 295, 267, 670, 8025, 307, 267, 10226, 8025, 267, 10226, 22721, 267, 8946, 295, 295, 267, 8946, 12487, 267, 8946, 8025, 8946, 22721, 267, 570, 8025, 295, 267, 570, 8025, 307, 267, 570, 307, 8025, 267, 570, 22721, 307, 1040, 2986, 891, 476, 1626, 2009, 4093, 1152, 476, 4391, 269, 276, 260, 32372, 277, 270, 1626, 264, 723, 476, 2004, 260, 9843, 269, 1496, 2791, 1223, 267, 540, 1576, 267, 1397, 713, 1210, 519, 2036, 13541, 658, 4542, 20426, 634, 2601, 568, 602, 607, 519, 1297, 540, 19184, 525, 4422, 1223, 267, 540, 1576, 267, 1397, 713, 1210, 519, 2036, 13541, 658, 4542, 19601, 8698, 9509, 11657, 692, 1892, 11354, 1412, 1556, 454, 1892, 16009, 10440, 454, 1892, 17438, 3892, 267, 17438, 3069, 267, 2598, 4740, 5506, 3892, 267, 15768, 4351, 4756, 267, 23120, 5506, 3892, 692, 346, 314, 15165, 21574, 300, 20687, 9948, 10926, 2162, 8525, 272, 1315, 476, 273, 692, 295, 310, 318, 1724, 318, 1691, 318, 306, 5357, 910, 8525, 476, 272, 540, 476, 273, 661, 4596, 13136, 312, 14581, 700, 624, 999, 476, 1724, 261, 13718, 1607, 12744, 2982, 3561, 3817, 476, 272, 910, 476, 273, 269, 6178, 909, 547, 2070, 519, 2407, 3561, 780, 8698, 9509, 11657, 454, 16485, 513, 6780, 2243, 910, 21493, 616, 2228 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 286, 589, 269, 476, 2004, 645, 269, 476, 2568, 595, 269, 476, 3583, 667, 269, 476, 3199, 7726, 476, 278, 540, 476, 1839, 476, 275, 269, 271, 270, 476, 275, 269, 271, 18745, 700, 8636, 7394, 630, 1723, 770, 531, 264, 2829, 798, 711, 1439, 1141, 693, 20393, 7851, 2303, 789, 798, 269, 1548, 568, 519, 2165, 585, 519, 1858, 540, 1216, 1141, 513, 9381, 1533, 814, 519, 1318, 547, 2804, 3408, 543, 14226, 540, 7286, 2200, 286, 589, 269, 12600, 2804, 7997, 645, 269, 1164, 4262, 595, 269, 16857, 4262, 667, 269, 1930, 4262, 7726, 476, 279, 540, 476, 1839, 476, 275, 269, 271, 270, 476, 275, 269, 271, 18745, 6904, 540, 519, 1739, 568, 4092, 538, 12130, 14772, 807, 286, 589, 269, 1715, 2836, 539, 8205, 645, 269, 22963, 11866, 595, 269, 21125, 11866, 667, 269, 21244, 11866, 7726, 476, 280, 540, 476, 1839, 476, 275, 269, 271, 270, 476, 275, 269, 271, 18745, 634, 23580, 540, 9605, 4016, 547, 519, 8258, 540, 12223, 602, 1958, 597, 3380, 519, 21718, 7909, 269, 589, 269, 1164, 2837, 2127, 267, 4095, 645, 269, 22747, 267, 7414, 595, 269, 896, 22855, 8143, 642, 757, 267, 9533, 667, 269, 30481, 12155, 2127, 267, 8828, 7726, 476, 1015, 540, 476, 1839, 476, 275, 269, 271, 270, 476, 275, 269, 271, 18745, 2991, 2622, 2782, 4083, 267, 30269, 729, 513, 4797, 4108, 3310, 593, 513, 1297, 540, 10195, 538, 519, 7414, 269, 589, 269, 6846, 5533, 645, 269, 9682, 22745, 595, 269, 544, 684, 1431, 2504, 667, 269, 10570, 9604, 4152, 7726, 476, 1556, 540, 476, 1839, 476, 275, 269, 271, 270, 476, 275, 269, 271, 18745, 6904, 1655, 6257, 519, 4463, 540, 519, 10239, 540, 1715, 10215, 267, 4481, 593, 519, 7013, 6532, 286, 589, 269, 936, 476, 1220, 271, 3952, 645, 269, 936, 476, 4335, 271, 3952, 595, 269, 936, 476, 1015, 267, 1822, 3952, 667, 269, 936, 476, 1428, 267, 1822, 3952, 7726, 476, 1321, 540, 476, 1839, 476, 275, 269, 271, 270, 476, 275, 269, 271, 18745, 6904, 540, 519, 1739, 568, 3020, 540, 519, 1004, 540, 14466, 7699, 1715, 19892, 286, 589, 269, 1358, 616, 2717, 2106, 14198, 269, 645, 269, 4107, 960, 538, 5663, 269, 595, 269, 1358, 616, 1360, 3309, 269, 667, 269, 1358, 616, 6140, 4457, 269, 7726, 476, 1724, 540, 476, 1839, 476, 275, 269, 271, 270, 476, 275, 269, 271, 18745, 6904, 540, 519, 1739, 7823, 9832, 8255, 998, 519, 3162, 6816, 540, 1715, 10215, 286, 589, 269, 8828, 25304, 645, 269, 8828, 29630, 2103, 595, 269, 8828, 32595, 667, 269, 8828, 9412, 625, 7726, 476, 1691, 540, 476, 1839, 476, 275, 269, 271, 270, 476, 275, 269, 271, 18745, 6904, 540, 519, 1739, 6898, 3823, 1715, 10215, 568, 3020, 286, 589, 269, 1715, 10215, 568, 827, 519, 1482, 3845, 689, 22163, 5245, 607, 31005, 807, 269, 645, 269, 1715, 10215, 568, 16922, 540, 1614, 1804, 10195, 269, 595, 269, 634, 3854, 540, 1715, 10215, 568, 589, 3089, 1633, 269, 667, 269, 2755, 1454, 540, 9703, 5245, 568, 9390, 267, 1034, 540, 9703, 1715, 10215, 568, 29990, 269, 7726, 476, 1428, 540, 476, 1839, 476, 275, 269, 271, 270, 476, 275, 269, 271, 18745, 7316, 568, 519, 1753, 540, 1034, 540, 519, 7414, 7464, 332, 781, 2551, 286, 589, 269, 14466, 7699, 1715, 19892, 645, 269, 674, 25702, 595, 269, 6341, 10394, 667, 269, 11709, 340, 520, 340, 7726, 476, 1626, 540, 476, 1839, 476, 275, 269, 271, 270, 476, 275, 269, 271, 18745, 6904, 540, 519, 1739, 6898, 827, 519, 2168, 5054, 540, 5245, 543, 1715, 10215, 568, 7301, 286, 589, 269, 5637, 5245, 543, 1715, 10215, 723, 5140, 6694, 1761, 269, 645, 269, 5245, 781, 5207, 10239, 616, 519, 4279, 29435, 532, 16186, 267, 1247, 1715, 10215, 814, 513, 12636, 540, 2362, 10239, 269, 595, 269, 1715, 10215, 814, 513, 9793, 267, 5848, 2916, 267, 6466, 5245, 781, 16374, 4268, 689, 9341, 547, 22465, 547, 9390, 269, 667, 269, 1715, 10215, 781, 3389, 5006, 11811, 568, 1336, 593, 922, 7178, 5032, 267, 1247, 5245, 781, 568, 1336, 538, 922, 4279, 3203, 14198, 19438, 269, 7726, 476, 1704, 540, 476, 1839, 476, 275, 269, 271, 270, 476, 275, 269, 271, 18745, 6904, 540, 519, 1739, 568, 4092, 538, 9253, 6951, 807, 286, 589, 269, 6341, 10394, 645, 269, 570, 1695, 16951, 595, 269, 2871, 600, 667, 269, 11709, 340, 520, 340, 7726, 476, 1240, 540, 476, 1839, 476, 275, 269, 271, 270, 476, 275, 269, 271, 18745, 1548, 568, 519, 2165, 585, 519, 5318, 9703, 6917, 1858, 540, 5245, 286, 589, 269, 4934, 3724, 645, 269, 6239, 8241, 3557, 595, 269, 2506, 27679, 22588, 667, 269, 2817, 4295, 1858, 7726, 476, 866, 540, 476, 1839, 476, 275, 269, 271, 270, 476, 275, 269, 271, 18745, 16323, 958, 267, 519, 22963, 11866, 616, 851, 540, 21718, 269, 589, 269, 2717, 29498, 807, 269, 645, 269, 9253, 6951, 807, 269, 595, 269, 519, 21244, 11866, 269, 667, 269, 12130, 14772, 807, 269, 7726, 476, 736, 540, 476, 1839, 476, 275, 269, 271, 270, 476, 275, 269, 271, 18745, 634, 8978, 476, 7277, 271, 6876, 1063, 519, 8575, 9461, 543, 17417, 538, 1715, 10215, 568, 1634, 607, 519, 15521, 540, 21718, 269, 589, 269, 27016, 30231, 269, 645, 269, 519, 3162, 7414, 269, 595, 269, 654, 2454, 2023, 269, 667, 269, 2052, 26248, 269, 7726, 476, 2641, 540, 476, 1839, 476, 275, 269, 271, 270, 476, 275, 269, 271, 18745, 769, 519, 7414, 7706, 267, 519, 1732, 2914, 23926, 15027, 10195, 267, 799, 723, 1713, 15038, 1657, 4262, 1377, 267, 616, 1634, 607, 21718, 269, 589, 269, 9253, 6951, 1014, 10195, 269, 645, 269, 1164, 10195, 269, 595, 269, 12130, 1258, 14198, 10195, 269, 667, 269, 1970, 10195, 269, 7726, 476, 2420, 540, 476, 1839, 476, 275, 269, 271, 270, 476, 275, 269, 271, 18745, 21718, 814, 2938, 922, 4346, 16154, 1317, 922, 814, 24776, 782, 540, 922, 2139, 19552, 12074, 269, 589, 269, 16515, 1998, 340, 645, 269, 715, 4768, 340, 595, 269, 11709, 340, 520, 340, 667, 269, 918, 4275, 321, 10620, 7726, 476, 2537, 540, 476, 1839, 476, 275, 269, 271, 270, 476, 275, 269, 271, 18745, 634, 1970, 14084, 6532, 6082, 540, 519, 7414, 616, 19918, 7925, 547, 12223, 13090, 269, 589, 269, 4262, 1377, 4473, 3361, 676, 2916, 1689, 645, 269, 9235, 595, 269, 11763, 3676, 667, 269, 1025, 11170, 1841, 7726, 476, 2190, 540, 476, 1839, 476, 275, 269, 271, 270, 476, 275, 269, 271, 18745, 5245, 543, 1715, 10215, 723, 513, 2647, 1858, 540, 2371, 543, 2831, 1336, 24076, 3116, 1317, 1346, 7103, 7960, 538, 21718, 269, 589, 269, 538, 519, 8828, 25955, 645, 269, 10792, 2825, 2175, 595, 269, 1279, 3856, 10072, 667, 269, 2175, 540, 3665, 954, 14588, 2886, 6735, 7726, 476, 1839, 540, 476, 1839, 476, 275, 269, 271, 270, 476, 275, 269, 271, 18745, 6904, 540, 519, 1739, 568, 711, 835, 540, 519, 2168, 2934, 540, 5245, 286, 589, 269, 918, 10042, 826, 320, 645, 269, 3244, 12121, 19164, 595, 269, 11023, 1782, 5336, 584, 2001, 5211, 667, 269, 21853, 15843, 1496, 17004, 2859, 2639, 8310, 8242, 281, 476, 272, 1032, 3516, 454, 7093, 1613, 476, 272, 856, 540, 476, 279, 3817, 454, 9824, 16406, 5525, 285, 12327, 4456, 3436, 19739, 25770, 476, 10441, 13658, 476, 272, 4267, 6155, 665, 343, 630, 5472, 994, 9223, 476, 272, 476, 272, 856, 540, 476, 272, 2798, 19606, 568, 519, 1433, 540, 23548, 25751, 269, 29120, 8382, 281, 6936, 7726, 476, 273, 476, 272, 856, 540, 476, 272, 2798, 2696, 12913, 5840, 779, 2347, 19802, 689, 5527, 29120, 8382, 281, 676, 2483, 3528, 11550, 293, 10946, 2073, 772, 22744, 539, 281, 4119, 476, 1626, 267, 476, 1708, 273, 454, 9824, 16406, 5525, 285, 12327, 4456, 3436, 12601, 3198, 476, 6200, 5174, 6734, 700, 308, 302, 11929, 476, 273, 630, 5472, 994, 14110, 3198, 476, 6200, 5174, 6734, 700, 308, 302, 11929, 476, 273, 4340, 547, 2423, 2917, 1299, 24747, 518, 267, 1376, 513, 21981, 609, 968, 6524, 594, 5450, 4906, 4799, 3528, 4622, 600, 528, 2073, 772, 22744, 539, 281, 7325, 476, 736, 267, 476, 1708, 272, 454, 9824, 16406, 5525, 285, 12327, 4456, 3436, 623, 23813, 476, 1708, 273, 910, 476, 272, 18301, 476, 2420, 6657, 2055, 1107, 19766, 4041, 15288, 25663, 28513, 630, 5472, 994, 303, 23813, 476, 1708, 273, 910, 476, 272, 18301, 476, 2420, 6657, 2055, 1107, 19766, 4041, 15288, 25663, 28513, 630, 273, 14186, 264, 4340, 547, 476, 272, 18301, 476, 2420, 281, 272, 267, 8422, 1296, 5293, 1510, 2112, 1063, 1018, 1079, 2477, 286, 910, 32273, 498, 27077, 498, 306, 344, 6319, 543, 5840, 630, 272, 696, 264, 4340, 547, 476, 272, 2483, 3528, 4515, 10422, 1512, 549, 2073, 772, 22744, 539, 281, 7325, 476, 6734, 267, 476, 1708, 273, 454, 9824, 16406, 5525, 285, 12327, 4456, 3436, 19739, 13993, 476, 10441, 7688, 476, 273, 5999, 1299, 4267, 2347, 3435, 630, 5472, 994, 10292, 13993, 476, 10441, 7688, 476, 273, 5999, 1299, 4267, 2347, 3435, 634, 8561, 593, 3020, 10847, 538, 476, 272, 1299, 476, 273, 20048, 2873, 6941, 1946, 519, 2262, 968, 9232, 568, 1336, 13977, 26690, 2053, 269, 476, 272, 856, 540, 476, 272, 2798, 29120, 8382, 2483, 3528, 11550, 293, 2073, 772, 22744, 539, 281, 2904, 476, 1556, 267, 476, 1708, 272, 454, 9824, 16406, 5525, 285, 12327, 4456, 3436, 5990, 302, 476, 10441, 590, 9331, 300, 2207, 476, 1708, 273, 1107, 19532, 22003, 476, 272, 21850, 29767, 9215, 5990, 29898, 5508, 5990, 13256, 6730, 5990, 19739, 25770, 630, 273, 21254, 11083, 307, 4932, 8976, 264, 21832, 25663, 28513, 12327, 4456, 23166, 19766, 4041, 15288, 32530, 16739, 6730, 4888, 14684, 8991, 630, 5472, 994, 15578, 302, 476, 10441, 590, 9331, 300, 2207, 476, 1708, 273, 1107, 19532, 22003, 476, 272, 21850, 29767, 9215, 5990, 29898, 5508, 5990, 13256, 6730, 5990, 19739, 25770, 630, 273, 21254, 11083, 307, 4932, 8976, 264, 21832, 25663, 28513, 12327, 4456, 23166, 19766, 4041, 15288, 32530, 16739, 6730, 4888, 14684, 8991, 454, 3528, 962, 784, 21579, 2073, 772, 22744, 539, 281, 9484, 476, 3066, 267, 476, 1708, 273, 454, 9824, 16406, 5525, 285, 12327, 4456, 3436, 23781, 296, 476, 1911, 18873, 1923, 476, 14056, 5999, 609, 476, 1911, 260, 22043, 12226, 630, 5472, 994, 763, 14868, 540, 10103, 2161, 602, 910, 32273, 498, 27077, 498, 268, 835, 781, 3020, 1582, 568, 917, 762, 1152, 538, 6935, 547, 519, 667, 7776, 269, 910, 5137, 1568, 998, 10659, 540, 910, 1260, 921, 29232, 1727, 657, 2572, 540, 586, 514, 543, 21583, 910, 327, 1301, 3415, 666, 581, 5252, 2483, 3528, 570, 612, 320, 2073, 772, 22744, 539, 281, 4119, 476, 5881, 267, 476, 1708, 273, 454, 9824, 16406, 5525, 285, 12327, 4456, 3436, 23068, 2160, 285, 681, 299, 294, 301, 10441, 282, 681, 299, 294, 301, 476, 10441, 268, 13658, 476, 278, 630, 8999, 1067, 476, 1708, 272, 270, 2420, 264, 782, 4267, 476, 1911, 260, 2953, 630, 5472, 994, 12435, 294, 301, 476, 10441, 268, 13658, 476, 278, 476, 1708, 272, 12226, 3040, 7726, 476, 272, 1306, 649, 1451, 18408, 689, 519, 6426, 621, 568, 1271, 602, 649, 2671, 1346, 18408, 609, 1866, 269, 3040, 7726, 476, 273, 6936, 20778, 2154, 2483, 3528, 20043, 2750, 4461, 2073, 772, 22744, 539, 281, 7325, 476, 2641, 267, 476, 1708, 272, 454, 9824, 16406, 5525, 285, 12327, 4456, 3436, 23781, 476, 20065, 279, 19532, 22003, 476, 275, 16998, 32767, 589, 630, 5472, 994, 9223, 476, 272, 476, 1015, 1315, 476, 1015, 533, 1206, 634, 9699, 13037, 540, 4591, 328, 949, 581, 6956, 607, 14120, 519, 1439, 540, 5162, 543, 2132, 540, 5614, 16217, 327, 19921, 781, 17005, 519, 3595, 538, 799, 519, 27313, 612, 4591, 11986, 3276, 928, 2483, 3528, 24243, 2073, 772, 22744, 539, 281, 3967, 476, 3066, 267, 476, 1708, 272, 454, 9824, 16406, 5525, 285, 12327, 4456, 3436, 9835, 24258, 2160, 595, 310, 309, 476, 6200, 13445, 476, 273, 13658, 347, 2353, 22043, 12226, 630, 5472, 994, 1892, 6904, 834, 9711, 257, 616, 851, 540, 519, 13400, 1650, 286, 3040, 20520, 267, 12096, 267, 543, 4414, 18277, 3040, 20520, 267, 21537, 1047, 267, 543, 595, 8576, 1218, 3040, 20530, 652, 1588, 267, 20520, 267, 543, 6428, 14010, 3040, 6196, 11620, 267, 7442, 665, 787, 6495, 267, 543, 1715, 4530, 600, 2483, 3528, 19532, 22003, 290, 345, 2752, 2073, 772, 22744, 539, 281, 4239, 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 ]
[ 628, 5553, 269, 901, 4494, 540, 12395, 545, 12029, 568, 1804, 543, 9867, 630, 324, 3052, 269, 15234, 338, 345, 6759, 5257, 834, 5320, 2580, 689, 12395, 545, 4654, 267, 12395, 545, 282, 543, 15234, 323, 541, 340, 5257, 834, 322, 8735, 2580, 689, 519, 1644, 18983, 545, 4654, 1070, 543, 2882, 1913, 22666, 689, 744, 724, 584, 4654, 267, 744, 724, 584, 12395, 545, 282, 552, 3052, 269, 15234, 4011, 329, 14243, 5257, 834, 322, 2788, 257, 630, 22396, 269, 932, 12320, 1662, 1893, 267, 932, 12320, 1662, 15234, 335, 26324, 745, 262, 3299, 15234, 335, 26324, 337, 26324, 341, 5257, 5288, 269, 15349, 1893, 267, 15349, 15234, 25975, 5633, 30322, 13799, 5257, 5148, 15234, 323, 2946, 331, 5257, 2048, 12158, 282, 5045, 685, 630, 22396, 269, 932, 12320, 1662, 15234, 339, 384, 499, 331, 5257, 5288, 269, 15349, 3866, 269, 15234, 323, 6686, 20795, 5257, 1040, 3509, 1913, 1644, 547, 6683, 267, 590, 30371, 793, 1533, 267, 1533, 7245, 543, 1256, 1920, 3347, 1397, 2963, 540, 971, 10080, 269, 23826, 16105, 543, 8239, 941, 711, 6766, 538, 513, 13974, 10565, 1259, 936, 891, 1614, 5553, 269, 2991, 519, 23826, 21037, 540, 519, 2961, 12949, 1014, 19438, 267, 12625, 540, 519, 12017, 12579, 538, 519, 2961, 12949, 1014, 19438, 267, 519, 1893, 3357, 883, 3346, 609, 513, 3099, 540, 1975, 571, 577, 321, 1495, 267, 4633, 2950, 267, 1851, 873, 23577, 338, 267, 23577, 545, 267, 12395, 545, 9082, 267, 12395, 545, 267, 543, 16586, 267, 4436, 269, 12395, 545, 12029, 689, 713, 1974, 2097, 5631, 689, 519, 623, 1815, 515, 928, 7714, 543, 595, 636, 753, 267, 595, 3861, 2103, 267, 945, 12306, 538, 21640, 1282, 519, 476, 1321, 628, 543, 476, 1724, 628, 5553, 281, 552, 3052, 269, 15234, 330, 984, 9926, 5257, 834, 322, 984, 5633, 257, 630, 22396, 269, 15349, 15234, 330, 641, 15120, 5257, 2048, 331, 1393, 685, 5148, 15234, 330, 558, 1180, 528, 5257, 834, 332, 641, 2915, 257, 630, 283, 2608, 5257, 330, 636, 663, 584, 5257, 2999, 15234, 290, 3861, 5257, 1040, 23826, 22666, 1082, 1913, 689, 30240, 23577, 545, 4654, 281, 552, 3052, 269, 15234, 339, 2946, 326, 5055, 5257, 2048, 321, 4459, 685, 282, 15234, 332, 5451, 330, 5257, 2048, 16647, 6853, 6079, 685, 282, 15234, 22894, 5451, 14369, 3415, 5257, 2048, 13731, 5733, 685, 1040, 1452, 4654, 538, 2490, 22666, 1913, 689, 23826, 281, 552, 3052, 269, 5395, 2692, 4211, 9130, 1014, 15234, 320, 20795, 990, 5257, 689, 23826, 15234, 27222, 6759, 5257, 2048, 4944, 1228, 9957, 6168, 476, 272, 269, 277, 2600, 540, 519, 4936, 1014, 1893, 267, 4936, 1014, 20750, 6625, 568, 540, 23826, 5169, 269, 769, 519, 476, 2641, 560, 2540, 267, 2090, 1489, 606, 5169, 540, 519, 772, 1537, 545, 4654, 267, 1519, 2038, 23826, 267, 538, 9456, 610, 3844, 2073, 12341, 1063, 519, 5136, 5211, 267, 5136, 543, 962, 523, 1047, 328, 5211, 267, 962, 523, 1047, 328, 5757, 610, 2282, 519, 17166, 534, 15142, 267, 17166, 534, 10239, 538, 519, 6739, 1700, 300, 784, 565, 1014, 8473, 3148, 269, 589, 476, 1001, 280, 1353, 1759, 593, 11976, 267, 22884, 543, 23316, 267, 1336, 602, 2038, 772, 1537, 545, 10529, 8452, 538, 2342, 689, 519, 7532, 267, 4481, 689, 9456, 27584, 4997, 563, 21446, 894, 5784, 295, 2426, 4115, 14787, 543, 9125, 6048, 21859, 3121, 700, 27222, 345, 331, 6759, 6811, 602, 20569, 267, 17027, 1239, 689, 14947, 2079, 4667, 547, 17591, 519, 11093, 540, 519, 3504, 23826, 22657, 2282, 519, 7984, 1023, 269, 1703, 723, 1044, 8942, 547, 1397, 602, 23826, 568, 1644, 547, 824, 4654, 267, 971, 607, 12355, 1893, 267, 12355, 267, 21373, 5371, 1893, 267, 21373, 5371, 267, 5681, 518, 1014, 1893, 267, 5681, 518, 1014, 267, 12266, 1893, 267, 12266, 267, 18264, 6350, 4754, 1893, 267, 18264, 6350, 4754, 267, 5178, 4302, 1893, 267, 5178, 4302, 267, 14655, 1893, 267, 14655, 267, 10652, 553, 15001, 1893, 267, 19994, 553, 15001, 267, 5259, 1893, 267, 5259, 267, 4457, 1893, 267, 4457, 267, 16130, 267, 2296, 1893, 267, 2296, 267, 570, 756, 2045, 4654, 267, 25307, 267, 7395, 541, 1893, 267, 7395, 541, 267, 6581, 577, 7699, 1893, 267, 6581, 577, 7699, 267, 29515, 1893, 267, 29515, 267, 5545, 1893, 267, 5545, 267, 543, 693, 2547, 476, 2412, 824, 4654, 269, 6301, 6894, 8059, 1235, 14962, 891, 8942, 607, 28342, 657, 2615, 881, 1893, 6476, 267, 15554, 657, 2615, 881, 16198, 609, 1100, 20519, 563, 23208, 15784, 936, 8129, 9213, 267, 519, 13618, 1851, 8059, 1235, 568, 602, 23826, 568, 513, 4759, 540, 519, 772, 1537, 545, 4654, 267, 772, 1537, 545, 1920, 540, 4654, 269, 634, 8760, 540, 23826, 607, 513, 772, 1537, 545, 22077, 4883, 334, 27138, 326, 878, 2864, 982, 513, 12395, 545, 4654, 267, 12395, 545, 1893, 4797, 547, 581, 513, 2339, 540, 791, 6842, 539, 2797, 15784, 2429, 519, 476, 1240, 628, 543, 883, 519, 476, 866, 628, 5553, 269, 4438, 519, 8545, 3368, 540, 519, 476, 866, 628, 2540, 267, 513, 12721, 8367, 6069, 513, 12395, 545, 25505, 540, 23826, 267, 610, 267, 4244, 569, 267, 602, 1312, 519, 772, 1537, 545, 543, 519, 12395, 545, 3885, 4646, 851, 540, 513, 15988, 13637, 630, 1782, 340, 2524, 1070, 15988, 13637, 540, 772, 1537, 1700, 2704, 3279, 545, 4654, 269, 11374, 606, 4081, 7521, 1634, 607, 15234, 288, 345, 579, 326, 528, 2389, 23152, 7238, 330, 554, 5451, 4011, 14243, 5257, 9497, 1492, 21051, 878, 6874, 24642, 545, 2112, 19823, 519, 18373, 334, 27138, 326, 878, 8367, 729, 11943, 519, 6204, 837, 540, 519, 1079, 267, 5631, 1759, 593, 960, 676, 519, 4436, 8059, 626, 1547, 12017, 12579, 1705, 267, 538, 1249, 267, 10110, 930, 12395, 545, 7506, 1282, 1896, 5553, 540, 1071, 4725, 2787, 269, 1280, 1383, 267, 519, 12017, 12579, 2408, 547, 723, 4121, 3662, 9393, 787, 2553, 689, 519, 12395, 545, 932, 12320, 1662, 1004, 267, 607, 513, 1164, 8167, 540, 1913, 1808, 547, 6683, 543, 13184, 616, 540, 932, 12320, 1662, 5169, 269, 589, 2178, 932, 12320, 1662, 3310, 729, 849, 7805, 538, 23826, 19746, 9821, 563, 24874, 23826, 763, 1101, 2854, 6589, 540, 23826, 4266, 547, 519, 476, 1015, 628, 2540, 267, 971, 607, 6140, 23826, 2123, 4408, 543, 1747, 4408, 538, 15234, 5719, 8556, 8681, 334, 14087, 1470, 262, 3299, 2854, 538, 5259, 676, 8109, 4936, 14890, 4790, 14932, 23446, 269, 3143, 1713, 5931, 2854, 538, 6196, 23826, 7097, 723, 15068, 267, 607, 3574, 267, 519, 5420, 540, 1603, 538, 946, 693, 519, 942, 267, 729, 829, 27720, 269, 634, 8003, 540, 21640, 729, 8547, 538, 476, 1911, 271, 676, 15537, 594, 540, 21640, 267, 15537, 594, 269, 634, 2197, 2968, 513, 5375, 2528, 267, 5375, 3613, 344, 1194, 4168, 630, 31718, 7826, 264, 1533, 267, 609, 5824, 7097, 13868, 23826, 2196, 525, 269, 634, 9998, 6967, 15998, 540, 519, 1893, 616, 1336, 538, 519, 9591, 22497, 540, 519, 705, 21161, 540, 570, 8811, 1415, 689, 476, 10755, 276, 267, 954, 2719, 1194, 609, 5824, 1257, 269, 634, 1101, 31607, 1257, 4628, 2854, 538, 23826, 568, 519, 8342, 1968, 590, 1069, 517, 543, 27302, 267, 799, 7389, 547, 519, 476, 15686, 271, 338, 269, 4014, 519, 9647, 2762, 540, 891, 2038, 5931, 28209, 14320, 689, 602, 1031, 2221, 267, 4207, 12017, 12579, 666, 1869, 1174, 513, 1390, 4308, 540, 519, 18949, 539, 9275, 1893, 267, 5103, 2242, 538, 8239, 543, 6863, 269, 589, 811, 3573, 1560, 540, 23826, 3332, 21256, 1310, 476, 9873, 271, 269, 634, 9998, 1634, 1383, 540, 23826, 4168, 6965, 267, 3909, 6965, 568, 519, 476, 1691, 628, 10601, 15234, 299, 3512, 725, 540, 6307, 5257, 269, 634, 1101, 6426, 8144, 729, 519, 670, 1380, 924, 6426, 538, 519, 476, 16960, 271, 338, 269, 634, 3044, 1893, 4503, 922, 546, 13023, 628, 29330, 267, 543, 1896, 2022, 21752, 9927, 883, 21879, 525, 267, 1519, 15234, 516, 5451, 5257, 834, 15193, 257, 630, 1492, 8360, 15234, 583, 340, 556, 320, 5257, 834, 15193, 519, 1259, 257, 1336, 538, 519, 476, 10755, 276, 1257, 1131, 2663, 1831, 15234, 14243, 10177, 5257, 1040, 1703, 941, 849, 2242, 538, 519, 1062, 540, 20262, 10103, 269, 2311, 835, 942, 267, 23826, 1031, 3670, 8231, 12896, 3901, 673, 13029, 267, 512, 5151, 267, 1247, 2221, 1152, 1079, 610, 1614, 616, 1031, 7868, 2104, 568, 4646, 609, 606, 25581, 8231, 543, 865, 568, 3006, 711, 18886, 607, 513, 5094, 13029, 269, 630, 8450, 849, 281, 829, 13023, 6652, 529, 8094, 17457, 23826, 1103, 476, 14631, 274, 267, 918, 21531, 6759, 342, 17002, 27015, 2131, 918, 558, 329, 5451, 16210, 3370, 630, 19640, 9647, 2762, 281, 16532, 519, 1101, 23826, 25082, 1433, 1305, 538, 1940, 762, 1826, 269, 1635, 519, 476, 1704, 628, 2540, 267, 519, 1893, 2907, 5702, 11696, 1194, 922, 1459, 6377, 1106, 267, 4352, 1079, 540, 519, 2250, 512, 5151, 7283, 538, 946, 269, 4436, 267, 7969, 543, 3943, 12029, 849, 3459, 547, 2408, 269, 4329, 15349, 1913, 941, 22666, 1282, 519, 1974, 540, 16368, 21640, 267, 16368, 4341, 630, 15150, 272, 547, 476, 15433, 280, 1040, 769, 519, 476, 866, 628, 267, 2540, 513, 1895, 540, 5830, 267, 1034, 16113, 674, 7967, 322, 20673, 4532, 5414, 267, 27490, 20243, 513, 1184, 540, 15234, 5500, 601, 341, 14243, 329, 6403, 339, 27222, 5257, 630, 331, 4833, 26016, 1436, 1040, 2368, 1913, 941, 27571, 630, 5257, 4445, 385, 495, 7458, 324, 12661, 5257, 3436, 15234, 4445, 385, 495, 2763, 12661, 262, 3299, 1412, 339, 8922, 874, 262, 610, 1412, 341, 1112, 800, 262, 5148, 513, 1297, 540, 13172, 531, 1913, 3262, 25422, 630, 5257, 324, 3052, 9538, 3299, 15234, 322, 8688, 1263, 5257, 1412, 323, 1177, 323, 548, 262, 5148, 17255, 1913, 941, 32543, 22004, 630, 5257, 323, 6403, 338, 345, 262, 3299, 1412, 323, 2946, 14585, 262, 5148, 513, 2647, 2039, 540, 7215, 941, 683, 860, 1143, 267, 22579, 1210, 519, 1585, 12045, 21879, 525, 282, 543, 930, 824, 267, 1447, 4749, 1031, 2409, 540, 9750, 519, 1893, 941, 8246, 269, 901, 3350, 3812, 811, 982, 4557, 8536, 1913, 267, 1034, 540, 799, 616, 1031, 8362, 2221, 269, 634, 476, 866, 628, 543, 476, 736, 628, 5553, 4718, 2417, 1893, 32301, 267, 32301, 540, 519, 1893, 267, 543, 3604, 1063, 20102, 2649, 1043, 22463, 7930, 21022, 269, 769, 476, 4572, 271, 267, 21640, 9896, 519, 15521, 540, 570, 6929, 517, 267, 9561, 476, 10170, 2600, 540, 922, 8513, 543, 835, 21017, 540, 519, 6803, 23826, 2551, 2059, 609, 621, 269, 4653, 267, 519, 1893, 6585, 4013, 1893, 267, 4013, 4567, 25422, 538, 21640, 543, 3148, 958, 538, 12017, 12579, 538, 27597, 267, 27597, 267, 12017, 12579, 538, 30355, 25474, 267, 30355, 25474, 267, 12017, 12579, 538, 966, 19390, 341, 617, 2088, 267, 28993, 267, 12017, 12579, 538, 15212, 267, 15212, 543, 4586, 10481, 4919, 3892, 281, 5257, 13126, 281, 2817, 18594, 4926, 267, 6599, 333, 860, 826, 5257, 23826, 814, 827, 476, 1724, 2929, 5065, 10529, 267, 540, 7247, 811, 982, 476, 280, 269, 279, 2929, 2661, 538, 21640, 269, 4340, 547, 519, 476, 1001, 272, 23826, 14829, 267, 476, 280, 267, 8660, 277, 267, 18357, 1004, 630, 4200, 269, 277, 260, 540, 519, 2698, 2551, 264, 3717, 23826, 267, 540, 7247, 476, 280, 267, 279, 2767, 267, 279, 4037, 1004, 630, 7176, 269, 280, 8472, 3717, 621, 607, 513, 1101, 1893, 267, 1247, 476, 6924, 267, 3393, 279, 1004, 630, 271, 269, 278, 8472, 3717, 621, 607, 513, 2034, 1893, 269, 6168, 476, 273, 269, 273, 2929, 10529, 2661, 538, 824, 2127, 602, 941, 851, 540, 519, 8003, 540, 21640, 1354, 519, 15521, 540, 570, 6929, 517, 630, 4572, 271, 1040, 2986, 891, 267, 519, 4102, 1895, 2729, 538, 2073, 519, 7262, 3368, 540, 1459, 6377, 2073, 1141, 972, 616, 5111, 476, 272, 269, 1839, 2929, 12017, 12579, 538, 27597, 267, 12017, 12579, 269, 1703, 616, 1804, 23826, 2950, 849, 538, 12017, 12579, 538, 30355, 25474, 267, 30355, 25474, 267, 12017, 12579, 538, 966, 19390, 341, 617, 2088, 267, 28993, 543, 12017, 12579, 538, 12907, 267, 12907, 267, 543, 12017, 12579, 666, 849, 581, 1336, 538, 2073, 2073, 543, 2073, 607, 1134, 607, 827, 513, 2929, 3606, 1004, 16559, 538, 824, 2694, 540, 519, 1158, 269, 1280, 1383, 267, 972, 616, 811, 982, 835, 4627, 8536, 23826, 10529, 538, 519, 23826, 1977, 2146, 543, 476, 272, 269, 276, 2929, 609, 23826, 22693, 538, 519, 2136, 2276, 563, 302 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 312, 16518, 729, 3047, 4303, 267, 519, 476, 2004, 628, 971, 5993, 1554, 950, 649, 616, 9415, 547, 1589, 540, 938, 4541, 563, 763, 4013, 3896, 540, 519, 3350, 3081, 602, 968, 517, 4989, 476, 2420, 649, 27876, 519, 1158, 609, 4126, 267, 27277, 543, 2962, 892, 827, 5355, 519, 3618, 779, 2104, 267, 13476, 563, 5522, 4868, 540, 14540, 3576, 909, 519, 6249, 267, 1519, 5080, 325, 619, 18830, 29828, 720, 267, 1759, 538, 12397, 13665, 267, 799, 11044, 547, 2087, 519, 726, 697, 540, 12084, 267, 3226, 538, 6935, 547, 17822, 563, 1607, 17493, 2306, 7899, 540, 6846, 25422, 269, 4256, 2012, 4992, 544, 3089, 1512, 982, 1082, 540, 741, 11044, 267, 799, 616, 6322, 693, 16445, 267, 3226, 5068, 269, 2290, 540, 741, 2834, 11044, 568, 547, 2307, 1004, 547, 1491, 513, 4605, 540, 6216, 539, 16445, 1107, 3226, 5068, 14569, 1107, 593, 17822, 543, 17847, 519, 10672, 676, 10912, 873, 856, 593, 1514, 2923, 563, 763, 2856, 568, 602, 519, 10672, 3217, 930, 5539, 585, 922, 11183, 269, 1280, 1383, 267, 519, 17408, 1115, 1289, 585, 519, 6216, 547, 1118, 7864, 10425, 538, 5068, 1107, 799, 2760, 9397, 1524, 1107, 543, 585, 519, 2872, 547, 1489, 5859, 7125, 585, 513, 16005, 2132, 10325, 563, 1765, 5080, 325, 619, 18830, 29828, 720, 31822, 338, 2444, 2086, 5218, 338, 264, 4989, 476, 2420, 267, 476, 1708, 271, 454, 763, 8545, 568, 513, 1390, 2856, 267, 607, 621, 1131, 2285, 519, 3765, 920, 1218, 945, 16445, 938, 1930, 5624, 1107, 711, 1175, 17822, 610, 1256, 8806, 25825, 1107, 513, 2883, 24539, 547, 1491, 1394, 741, 8900, 10425, 11149, 630, 322, 753, 610, 14569, 1040, 1358, 1131, 4309, 513, 9864, 32479, 593, 741, 3312, 6718, 563, 20776, 325, 619, 18830, 29828, 720, 779, 5767, 5859, 568, 1572, 1948, 27987, 2414, 19423, 2658, 267, 22215, 519, 3302, 17243, 693, 2707, 607, 519, 10419, 15249, 563, 2467, 779, 1454, 538, 602, 267, 540, 1576, 269, 654, 571, 13827, 1223, 581, 1500, 540, 2326, 602, 31693, 563, 2026, 6362, 585, 513, 16005, 2132, 10325, 2712, 2471, 2872, 547, 3858, 602, 2962, 568, 2838, 543, 568, 835, 1259, 540, 5466, 519, 1966, 563, 3719, 6038, 519, 1483, 25476, 616, 519, 1004, 945, 14578, 16445, 938, 1930, 5624, 1510, 513, 1416, 269, 4634, 952, 782, 1426, 12109, 13827, 1223, 581, 1500, 540, 2326, 602, 10920, 12723, 267, 1131, 621, 3247, 1004, 16445, 532, 286, 589, 14820, 1689, 1522, 581, 2877, 267, 1932, 563, 303, 1112, 3293, 2630, 568, 513, 3135, 593, 23778, 1873, 797, 5871, 267, 4414, 24824, 267, 602, 729, 23498, 827, 513, 3018, 3516, 269, 0, 1103, 476, 4489, 273, 267, 513, 3684, 11827, 676, 31509, 18146, 267, 835, 540, 519, 27428, 540, 4303, 2023, 7177, 8534, 14898, 3213, 269, 2443, 5548, 1723, 2443, 7902, 593, 513, 27974, 650, 659, 269, 1306, 513, 12990, 540, 606, 4401, 1688, 1835, 1678, 267, 513, 4130, 267, 1164, 2389, 528, 4302, 3167, 13324, 5179, 267, 13234, 676, 513, 6335, 540, 513, 1898, 267, 5828, 519, 1835, 3471, 3873, 1111, 543, 13175, 519, 2599, 269, 1635, 519, 4571, 5991, 31106, 1000, 550, 625, 267, 519, 3167, 13324, 1582, 3613, 6621, 729, 1455, 593, 3592, 1142, 543, 1169, 1286, 269, 29673, 268, 543, 6007, 14617, 1313, 657, 12779, 15534, 563, 763, 3167, 13324, 5179, 602, 22755, 891, 2038, 12601, 338, 267, 1256, 1498, 267, 1705, 711, 642, 4314, 689, 6517, 269, 6356, 1947, 267, 621, 5833, 513, 1629, 10056, 269, 4634, 1498, 519, 6418, 13674, 2599, 2968, 519, 23163, 1259, 547, 5397, 519, 14743, 267, 4130, 16546, 23366, 1131, 581, 6964, 547, 1599, 2842, 3333, 1752, 530, 760, 619, 267, 22865, 18798, 543, 10237, 1807, 18798, 2333, 543, 2569, 1753, 9486, 979, 16295, 1394, 543, 8521, 543, 909, 543, 1524, 543, 3167, 1379, 19421, 540, 824, 2934, 563, 14738, 1310, 2622, 2782, 4083, 267, 950, 6007, 6639, 917, 24376, 4824, 267, 3678, 5474, 2943, 1586, 3323, 512, 1074, 1359, 609, 13059, 519, 3167, 13324, 5179, 547, 922, 3312, 5692, 281, 6117, 519, 14743, 563, 3086, 267, 1310, 513, 2540, 540, 13352, 543, 862, 1878, 267, 519, 5736, 540, 519, 3167, 13324, 6174, 5526, 547, 723, 2063, 569, 8452, 563, 2005, 568, 1044, 513, 3573, 8265, 1394, 269, 3371, 779, 513, 3100, 693, 930, 8978, 12601, 338, 689, 2101, 3678, 5474, 543, 824, 11570, 2966, 538, 519, 2328, 5346, 28131, 2782, 4083, 5736, 563, 4198, 280, 7009, 2284, 18741, 578, 3430, 454, 7343, 29736, 513, 11412, 5435, 667, 879, 874, 710, 3003, 1560, 543, 606, 3167, 13324, 5397, 30221, 13324, 676, 1291, 14092, 573, 9075, 454, 28269, 10605, 281, 476, 2568, 18890, 454, 26161, 281, 6168, 476, 2568, 5195, 454, 10831, 2966, 281, 476, 5325, 454, 8253, 762, 281, 634, 3167, 13324, 5179, 729, 2813, 676, 12511, 15777, 20536, 25876, 6390, 269, 0, 7712, 9433, 798, 1447, 4367, 9433, 585, 1382, 4574, 960, 4367, 9433, 585, 1382, 4574, 538, 2110, 555, 648, 879, 1557, 10530, 4574, 267, 723, 2110, 9433, 585, 7084, 4267, 2110, 4574, 543, 3476, 9433, 585, 7223, 1966, 6061, 3476, 269, 1382, 1957, 4367, 5037, 1383, 1107, 476, 280, 1655, 3932, 5037, 2093, 1923, 476, 275, 628, 3446, 1603, 267, 3450, 1603, 267, 476, 276, 628, 3446, 1603, 269, 827, 721, 269, 713, 851, 540, 707, 960, 568, 2966, 547, 948, 519, 5467, 2697, 2436, 646, 610, 1352, 6499, 547, 1224, 519, 1957, 621, 779, 849, 1732, 547, 2057, 3929, 7215, 543, 27325, 538, 519, 4367, 269, 1382, 1603, 12043, 3112, 581, 1031, 585, 23064, 8100, 267, 543, 602, 666, 581, 513, 2352, 4305, 269, 6140, 267, 621, 568, 6225, 547, 2491, 519, 1888, 543, 519, 2601, 585, 875, 547, 2328, 513, 1557, 7446, 621, 269, 952, 707, 1957, 568, 538, 606, 4081, 3159, 1107, 2119, 547, 1832, 621, 538, 2898, 519, 3561, 269, 519, 2034, 1957, 1775, 10288, 875, 547, 2328, 6280, 3332, 2689, 4367, 5037, 585, 4367, 9433, 585, 1382, 4574, 1382, 1957, 729, 513, 1382, 1867, 593, 1382, 1957, 3584, 827, 1072, 1686, 269, 16900, 2445, 543, 1569, 16045, 1072, 543, 6595, 17089, 3656, 1436, 12819, 1557, 3029, 2443, 2228, 267, 22356, 267, 543, 593, 519, 979, 269, 621, 781, 1419, 4443, 547, 2328, 519, 2606, 5037, 1310, 596, 4312, 2854, 519, 1101, 8908, 540, 519, 1292, 1134, 2854, 1870, 1544, 851, 540, 519, 1957, 630, 528, 693, 2547, 11516, 3481, 856, 513, 2143, 7291, 267, 3296, 676, 3296, 610, 875, 547, 18005, 6338, 3054, 538, 606, 1557, 5037, 676, 5037, 1040, 1631, 596, 1175, 991, 28258, 7084, 6876, 513, 4098, 543, 606, 1439, 519, 3732, 1957, 593, 2013, 1353, 2079, 4367, 9433, 585, 1382, 4574, 540, 9566, 548, 267, 9985, 267, 6257, 875, 547, 1020, 519, 2034, 10126, 540, 606, 4367, 676, 13994, 6819, 519, 1382, 13395, 543, 1835, 2335, 625, 538, 4540, 13429, 4553, 676, 707, 1378, 1448, 540, 2070, 593, 519, 1249, 269, 2638, 9494, 4357, 678, 12505, 1557, 856, 713, 1382, 1957, 4367, 5037, 3732, 282, 269, 0, 2005, 5673, 1018, 1153, 540, 2219, 596, 2097, 689, 269, 1280, 1082, 922, 3119, 3483, 568, 547, 7038, 269, 3245, 513, 524, 2106, 545, 781, 1448, 540, 2070, 267, 4376, 602, 3790, 2724, 547, 946, 270, 5408, 270, 1326, 6818, 9003, 547, 6133, 3294, 269, 19227, 267, 922, 3119, 3483, 5673, 593, 519, 1397, 269, 634, 8496, 1145, 540, 3751, 6723, 610, 15776, 631, 16014, 1963, 267, 585, 1383, 267, 4001, 519, 5304, 827, 4277, 2053, 538, 1686, 269, 31698, 899, 654, 17673, 543, 1912, 656, 558, 540, 519, 28709, 267, 538, 1840, 547, 1373, 3810, 19278, 267, 1118, 596, 1589, 827, 7881, 543, 6138, 269, 6736, 713, 13065, 267, 519, 835, 3364, 602, 1034, 2982, 2671, 568, 513, 3804, 540, 19278, 519, 5304, 563, 5445, 13599, 519, 1857, 676, 8380, 22099, 909, 610, 5010, 338, 563, 2414, 2149, 519, 1857, 454, 290, 548, 22093, 5398, 20989, 729, 2813, 538, 476, 2735, 275, 563, 290, 32385, 10620, 5398, 20989, 8694, 538, 476, 1220, 272, 563, 290, 32385, 10620, 5398, 20989, 729, 2813, 538, 476, 1960, 278, 563, 5591, 267, 519, 2262, 1412, 14445, 622, 262, 568, 513, 8231, 281, 13599, 267, 1534, 919, 267, 18997, 267, 13473, 269, 7078, 281, 634, 1982, 568, 606, 4674, 547, 13599, 519, 1857, 827, 10867, 543, 1126, 6484, 7868, 10902, 3029, 585, 519, 8231, 547, 13599, 616, 19829, 267, 2069, 267, 543, 519, 12908, 1495, 267, 18997, 563, 14276, 6796, 7788, 8784, 618, 454, 2419, 8522, 5398, 12140, 781, 2138, 1729, 568, 1412, 14807, 622, 269, 23512, 790, 269, 17992, 9538, 563, 22832, 645, 7875, 720, 1705, 711, 1628, 519, 31248, 282, 646, 3710, 513, 16222, 1572, 634, 20989, 267, 799, 729, 519, 1101, 3811, 3483, 32472, 1404, 5264, 538, 4789, 269, 3571, 14930, 9400, 543, 595, 3578, 6975, 3710, 519, 31248, 20989, 538, 1931, 630, 1993, 1576, 264, 547, 1459, 1857, 12644, 563, 763, 1101, 3483, 540, 32548, 568, 547, 1683, 2883, 18715, 602, 519, 24769, 786, 2408, 538, 5480, 269, 589, 6281, 3483, 538, 1082, 2829, 568, 519, 946, 540, 32548, 547, 948, 1202, 675, 1857, 3106, 563, 2304, 1719, 1895, 568, 849, 1634, 607, 513, 25211, 532, 1895, 610, 14223, 1895, 269, 4256, 3119, 3483, 568, 547, 5000, 610, 25339, 2242, 538, 1857, 3609, 563, 14807, 622, 543, 1683, 1857, 10304, 454, 763, 2138, 1729, 540, 4400, 1467, 5398, 12140, 568, 1412, 14807, 622, 5272, 9906, 543, 21673, 28742, 23823, 763, 1101, 1857, 16222, 729, 538, 9147, 10255, 563, 313, 30139, 13599, 519, 1857, 676, 8380, 2831, 593, 8858, 543, 8380, 909, 4191, 827, 602, 1880, 3662, 609, 1585, 1344, 267, 971, 607, 1141, 519, 3662, 2729, 267, 2436, 610, 711, 621, 781, 13155, 267, 3092, 269, 2368, 849, 723, 3292, 1141, 789, 1491, 2831, 547, 3506, 267, 3092, 269, 543, 13599, 1004, 827, 1346, 2831, 563, 2791, 666, 798, 713, 676, 2870, 1857, 4656, 269, 901, 666, 2097, 538, 519, 1106, 540, 29468, 267, 2911, 543, 8108, 948, 1895, 563, 763, 3483, 540, 513, 1857, 5823, 568, 547, 2285, 3028, 547, 519, 5561, 454, 763, 11128, 32398, 568, 10229, 26974, 637, 269, 589, 16222, 32398, 9614, 781, 2816, 568, 547, 1217, 519, 1857, 540, 519, 24299, 602, 786, 581, 593, 693, 741, 16222, 543, 2344, 873, 865, 16295, 6133, 563, 22709, 2923, 616, 519, 1797, 540, 2792, 602, 568, 1031, 538, 1931, 547, 5968, 543, 4483, 1344, 538, 2489, 1857, 269, 1452, 666, 849, 513, 2707, 540, 9913, 538, 930, 2081, 269, 634, 2527, 2923, 849, 2832, 547, 13599, 1004, 563, 10144, 8288, 19297, 1472, 4884, 1472, 519, 16222, 563, 295, 1952, 1465, 540, 519, 2489, 1857, 568, 519, 3119, 3483, 540, 2229, 267, 2864, 982, 519, 8788, 540, 519, 18211, 7100, 610, 519, 5697, 1906, 563, 763, 4807, 945, 1500, 621, 1200, 1272, 781, 960, 547, 13599, 519, 1857, 827, 519, 4057, 2175, 585, 15508, 2192, 543, 14586, 729, 16910, 6139, 320, 667, 1460, 269, 2701, 729, 513, 1153, 974, 12329, 267, 2278, 267, 543, 1287, 19191, 547, 948, 1866, 269, 0, 4131, 779, 1376, 2679, 2338, 256, 3807, 607, 2679, 1236, 903, 322, 1905, 619, 568, 513, 3308, 6041, 540, 6128, 267, 1053, 786, 946, 519, 3308, 6041, 540, 3490, 268, 1084, 7161, 547, 1039, 29932, 1628, 1765, 15193, 513, 1079, 18251, 1297, 563, 8196, 713, 3992, 547, 6338, 519, 1907, 540, 3490, 268, 1084, 7161, 547, 707, 1053, 269, 901, 21934, 1245, 539, 20700, 1489, 3992, 666, 581, 1031, 607, 513, 1796, 17038, 821, 2534, 267, 610, 1991, 547, 3450, 8422, 5937, 13424, 18827, 609, 12476, 6874, 523, 17738, 563, 10743, 786, 1205, 547, 2263, 1614, 18251, 2338, 998, 3490, 268, 1084, 7161, 543, 2854, 1106, 269, 4841, 786, 1205, 7899, 540, 2259, 7114, 519, 1747, 2418, 540, 513, 1297, 1312, 14350, 543, 609, 519, 1362, 563, 1607, 1439, 6361, 7308, 17469, 4458, 3992, 786, 1205, 519, 1053, 5059, 593, 782, 519, 1919, 789, 4121, 538, 2979, 1362, 256, 898, 8039, 1114, 1983, 609, 8454, 543, 17447, 538, 2262, 2042, 1210, 519, 834, 5649, 267, 8571, 267, 543, 3503, 257, 4640, 563, 7312, 1053, 786, 2648, 1565, 547, 1293, 547, 4557, 609, 713, 3992, 602, 814, 873, 1118, 513, 1433, 256, 4841, 786, 581, 593, 1283, 1310, 2542, 513, 1187, 1433, 602, 2047, 12211, 547, 741, 1378, 6575, 543, 13492, 2534, 563, 10743, 786, 1205, 7899, 540, 2259, 21882, 9937, 609, 4557, 14604, 547, 1039, 547, 476, 736, 256, 2422, 713, 21934, 1245, 539, 20700 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5819, 626, 945, 6659, 519, 15930, 700, 5819, 1235, 1282, 519, 1977, 7169, 1701, 2608, 6124, 267, 631, 269, 18332, 267, 15930, 700, 5819, 1235, 538, 519, 1977, 7169, 630, 307, 728, 4248, 23255, 282, 10418, 6807, 267, 15930, 267, 476, 1960, 277, 264, 2608, 19324, 16303, 6019, 16680, 8433, 267, 661, 10611, 20166, 269, 570, 18025, 476, 3422, 270, 277, 630, 19324, 16303, 267, 4789, 267, 5177, 994, 10267, 2284, 595, 869, 781, 31052, 542, 9928, 2940, 540, 4258, 344, 2284, 595, 869, 781, 31052, 542, 454, 10267, 2284, 595, 869, 630, 15876, 275, 1700, 9965, 279, 264, 729, 513, 10121, 626, 689, 26609, 2051, 3415, 1282, 519, 1977, 7169, 945, 588, 3042, 513, 18326, 1996, 519, 7810, 2229, 602, 729, 14957, 9668, 689, 4279, 6628, 269, 4258, 2284, 595, 869, 729, 4535, 538, 476, 15876, 275, 538, 26609, 2051, 3415, 267, 519, 3791, 540, 8370, 1453, 547, 26637, 1408, 595, 869, 543, 1010, 7385, 12246, 20087, 269, 1358, 5030, 538, 10348, 14732, 781, 6019, 267, 19435, 540, 15930, 267, 11262, 741, 1378, 3484, 267, 540, 7164, 14143, 855, 729, 1767, 547, 723, 1044, 9645, 269, 8092, 6592, 538, 476, 14690, 275, 267, 476, 2004, 23505, 729, 3957, 834, 290, 869, 781, 16593, 1701, 769, 476, 14690, 278, 1776, 476, 2004, 23505, 729, 6592, 543, 621, 729, 1572, 834, 289, 3019, 781, 16593, 8487, 22139, 1977, 13749, 25567, 320, 543, 4639, 28851, 13749, 22139, 3013, 543, 4639, 28851, 8293, 611, 1258, 454, 300, 26090, 1686, 540, 25429, 32108, 269, 13639, 1686, 540, 4516, 269, 2155, 6387, 2987, 16644, 3971, 267, 3345, 3013, 269, 0, 763, 17807, 1772, 5890, 21505, 454, 2026, 649, 4718, 538, 8791, 476, 4343, 268, 1015, 267, 621, 568, 2009, 547, 2268, 519, 3448, 11250, 693, 799, 15270, 616, 16042, 721, 610, 973, 5338, 689, 721, 676, 7893, 519, 10593, 538, 519, 15423, 540, 519, 1769, 789, 12520, 269, 1403, 649, 1413, 1152, 693, 11397, 15270, 267, 3564, 938, 7525, 7523, 12519, 12543, 267, 649, 1265, 606, 27314, 1249, 269, 1358, 616, 782, 3001, 2476, 630, 516, 1027, 532, 264, 689, 721, 256, 769, 476, 4572, 280, 3798, 7773, 623, 269, 26931, 3964, 513, 4276, 1063, 519, 7805, 3432, 540, 21748, 642, 540, 513, 14925, 543, 922, 3845, 678, 689, 721, 268, 12077, 267, 602, 789, 616, 1463, 14354, 269, 2334, 568, 2676, 341, 815, 670, 337, 630, 29878, 1076, 685, 521, 1876, 1916, 2108, 514, 799, 670, 267, 519, 8167, 1275, 3586, 267, 568, 1572, 519, 26931, 3586, 269, 634, 1871, 540, 670, 568, 2356, 538, 22739, 1770, 12919, 829, 2034, 2173, 1122, 777, 541, 5913, 630, 296, 534, 4882, 1547, 631, 335, 322, 1070, 1141, 803, 653, 534, 1815, 568, 513, 11307, 1770, 4122, 1031, 538, 28936, 12695, 543, 17651, 912, 272, 631, 335, 322, 815, 476, 274, 269, 5400, 275, 2473, 476, 6200, 280, 5998, 1107, 476, 274, 269, 18605, 2473, 476, 272, 3890, 277, 569, 454, 763, 26931, 3586, 670, 814, 711, 1185, 519, 1482, 1871, 2094, 519, 7122, 3459, 269, 10318, 1456, 922, 595, 308, 331, 272, 685, 324, 291, 331, 892, 7407, 568, 5393, 6440, 2352, 1317, 621, 3322, 803, 320, 306, 675, 906, 585, 1360, 11397, 15270, 269, 21298, 267, 835, 1353, 2322, 519, 7351, 1871, 540, 24051, 476, 3583, 26012, 339, 476, 278, 27950, 4882, 3040, 631, 335, 322, 267, 6466, 1776, 1353, 588, 297, 5622, 320, 296, 344, 11130, 585, 513, 1871, 540, 476, 6812, 737, 1103, 4882, 1547, 631, 335, 322, 8515, 1100, 2339, 1141, 741, 19215, 729, 11329, 269, 898, 4166, 2968, 2312, 602, 6755, 345, 5362, 543, 14355, 941, 11287, 513, 17184, 4282, 5982, 267, 6383, 538, 519, 2038, 7122, 543, 11423, 782, 2230, 3592, 25144, 269, 901, 5982, 267, 4171, 5021, 8515, 4386, 693, 513, 15423, 540, 476, 272, 269, 272, 6515, 267, 814, 519, 1482, 3892, 538, 20966, 1281, 5982, 538, 606, 26456, 4171, 6821, 616, 4371, 693, 513, 2837, 540, 476, 273, 269, 278, 918, 269, 769, 713, 3510, 519, 26456, 568, 519, 3003, 7122, 269, 6755, 345, 5362, 543, 14355, 941, 13752, 519, 476, 3192, 279, 17587, 16101, 538, 6323, 585, 741, 6602, 20136, 5982, 12090, 827, 476, 4968, 1822, 1296, 1310, 519, 2462, 29907, 267, 950, 269, 519, 7122, 10393, 2968, 12001, 547, 13590, 6329, 630, 1492, 6329, 941, 711, 5612, 12842, 676, 5536, 1040, 634, 5982, 693, 602, 942, 5330, 539, 547, 5982, 538, 606, 26456, 693, 513, 2837, 540, 5310, 476, 10755, 918, 269, 1306, 519, 7122, 9450, 267, 2705, 267, 519, 2837, 12628, 547, 922, 1459, 1871, 540, 476, 273, 269, 278, 918, 269, 0, 14611, 9137, 12474, 454, 1607, 1382, 814, 476, 273, 6859, 799, 941, 630, 272, 264, 547, 1353, 519, 23988, 1759, 2390, 17700, 5937, 327, 12609, 585, 1646, 540, 519, 31655, 543, 630, 273, 264, 547, 2697, 1883, 2093, 1759, 2390, 17700, 5937, 327, 12609, 585, 1646, 540, 519, 31655, 538, 519, 19565, 9866, 3569, 543, 10466, 10418, 269, 898, 568, 513, 6404, 1505, 1382, 269, 21302, 1239, 689, 3561, 2079, 609, 1543, 2079, 269, 1656, 519, 1239, 941, 9916, 676, 10855, 7194, 609, 476, 10436, 1883, 1217, 1218, 454, 763, 2164, 540, 713, 1353, 8612, 602, 454, 272, 264, 634, 23988, 1759, 2390, 17700, 5937, 327, 12609, 585, 1646, 540, 519, 31655, 568, 1644, 476, 274, 1292, 1919, 269, 634, 1101, 835, 568, 1376, 609, 1620, 519, 2790, 4162, 538, 2489, 269, 3973, 267, 1620, 519, 2790, 4162, 540, 519, 31655, 568, 519, 1739, 1448, 269, 1656, 865, 593, 267, 4481, 609, 4808, 1759, 2390, 17700, 5937, 327, 12609, 585, 1646, 540, 519, 31655, 563, 273, 264, 634, 1883, 2093, 1759, 2390, 17700, 5937, 327, 12609, 585, 1646, 540, 519, 31655, 538, 519, 19565, 9866, 3569, 543, 10466, 10418, 616, 281, 634, 1920, 543, 3610, 1058, 1413, 1310, 543, 1491, 1416, 741, 31655, 269, 634, 31655, 1590, 849, 917, 875, 547, 26256, 714, 656, 540, 519, 5013, 543, 1964, 1778, 2933, 689, 741, 20025, 2623, 563, 1607, 960, 568, 13931, 896, 513, 11300, 12780, 21922, 9539, 517, 4467, 14293, 268, 5591, 32056, 643, 2510, 476, 275, 269, 271, 4139, 17821, 269, 6893, 504, 6893, 501, 6893, 482, 6893, 356, 32453, 6893, 350, 6893, 501, 6893, 372, 6893, 479, 6893, 504, 6893, 501, 6893, 482, 6893, 356, 32453, 6893, 350, 16055, 478, 6893, 505, 16055, 485, 6893, 503, 6893, 354, 6893, 368, 6893, 480, 6893, 359, 6893, 368, 6893, 501, 6893, 502, 6893, 368, 16055, 490, 6893, 480, 6893, 511, 6893, 485, 6893, 356, 32453, 6893, 352, 6893, 359, 32453, 6893, 352, 6893, 356, 6893, 368, 6893, 488, 32453, 6893, 479, 32453, 6893, 352, 6893, 350, 6893, 503, 6893, 372, 6893, 358, 6893, 351, 6893, 357, 32453, 6893, 359, 6893, 499, 6893, 352, 16055, 490, 16055, 479, 6893, 354, 6893, 364, 6893, 359, 6893, 365, 6893, 485, 6893, 482, 6893, 350, 6893, 357, 32453, 6893, 359, 6893, 499, 6893, 352, 16055, 490, 476, 6893, 350, 6893, 360, 32453, 6893, 356, 6893, 368, 6893, 501, 6893, 351, 32453, 6893, 354, 6893, 365, 6893, 351, 6893, 504, 6893, 373, 6893, 352, 6893, 508, 32453, 16055, 478, 6893, 501, 16055, 486, 32453, 6893, 503, 6893, 365, 16055, 487, 6893, 503, 454, 289, 19207, 332, 698, 684, 629, 1817, 333, 267, 623, 269, 630, 1220, 274, 1040, 5020, 3391, 269, 10854, 330, 758, 281, 8750, 585, 14619, 585, 2069, 543, 9066, 563, 2419, 534, 17703, 784, 267, 590, 269, 630, 1001, 274, 1040, 634, 1184, 540, 17975, 1453, 543, 6107, 538, 519, 9866, 3569, 543, 10466, 4741, 585, 5753, 543, 15272, 538, 715, 12112, 517, 27517, 534, 19435, 269, 9457, 779, 19080, 267, 14418, 5525, 267, 5398, 10029, 267, 20513, 540, 4317, 3163, 267, 10067, 778, 592, 531, 784, 330, 1941, 571, 329, 14865, 9234, 11535, 2160, 563, 5719, 601, 4821, 773, 267, 590, 269, 630, 1220, 280, 1040, 3557, 543, 20126, 540, 5753, 543, 1411, 2195, 538, 513, 22503, 19565, 9866, 3569, 5851, 281, 589, 8865, 5530, 693, 454, 289, 22528, 23688, 7534, 22503, 19565, 9751, 4741, 269, 10854, 330, 758, 269, 20513, 540, 1857, 7245, 267, 14076, 777, 1046, 5441, 563, 298, 822, 31730, 864, 639, 267, 654, 269, 595, 269, 630, 2735, 276, 1040, 1548, 1382, 2161, 547, 519, 4116, 286, 562, 4877, 12727, 19565, 5548, 22055, 1890, 2817, 5948, 563, 298, 564, 600, 267, 623, 269, 630, 1220, 278, 1040, 589, 1353, 540, 1514, 268, 17595, 1670, 4162, 1644, 547, 519, 5837, 2623, 540, 13221, 538, 519, 454, 10849, 3569, 1858, 269, 9457, 779, 19080, 267, 11930, 19884, 3163, 3194, 267, 19884, 3163, 3194, 4659, 2676, 298, 327, 684, 777, 1941, 267, 623, 269, 630, 1001, 274, 1040, 12655, 4886, 269, 10854, 330, 758, 281, 918, 558, 565, 918, 1251, 628, 784, 7690, 563, 13233, 4659, 585, 4132, 543, 7731, 4886, 269, 630, 1001, 276, 1040, 2817, 15272, 8889, 543, 7043, 3856, 15272, 4886, 454, 23945, 269, 8158, 4873, 476, 276, 267, 476, 1001, 279, 267, 689, 4179, 2517, 4178, 269, 5371, 325, 323, 6983, 325, 6230, 1695, 573, 565, 28482, 269, 628, 454, 301, 603, 328, 3578, 2967, 267, 590, 269, 630, 1001, 272, 1040, 4886, 540, 14418, 15272, 538, 21487, 5980, 269, 631, 4292, 779, 19080, 267, 13221, 5525, 267, 20513, 540, 454, 289, 3291, 11297, 267, 10067, 778, 592, 531, 784, 330, 1941, 571, 329, 14865, 9234, 11535, 2160, 563, 19423, 823, 540, 2817, 15272, 8871, 10056, 543, 18509, 1588, 8433, 267, 12080, 540, 4317, 4886, 543, 5274, 8232, 563, 263, 1001, 278, 1040, 2817, 4507, 543, 2994, 634, 1646, 540, 1453, 2687, 547, 519, 3617, 1158, 4808, 563, 14303, 7205, 4873, 476, 280, 267, 476, 1001, 279, 267, 689, 8940, 6230, 1606, 1539, 1214, 269, 2998, 269, 628, 563, 303, 515, 534, 1090, 2401, 323, 267, 808, 269, 630, 1001, 277, 1040, 22518, 1055, 5151, 540, 1453, 543, 6107, 543, 22518, 1055, 5151, 585, 1453, 543, 6107, 269, 769, 11628, 22518, 16572, 543, 595, 3234, 11659, 269, 6348, 628, 629, 19441, 281, 2672, 16223, 1054, 2967, 774, 2459, 987, 597, 520, 7046, 2160, 563, 10932, 4741, 585, 30404, 4065, 585, 5753, 543, 7981, 20126, 267, 20513, 540, 4065, 267, 932, 592, 531, 784, 330, 1941, 454, 17206, 269, 630, 1001, 278, 1040, 32163, 725, 543, 10819, 540, 10871, 5753, 543, 15272, 269, 8158, 4873, 476, 280, 267, 476, 1001, 279, 267, 689, 4179, 2517, 4178, 6155, 5055, 269, 2998, 269, 628, 563, 25823, 628, 600, 267, 715, 269, 630, 1220, 280, 1040, 13832, 547, 1020, 1761, 540, 1453, 543, 31655, 15651, 306, 2967, 303, 3019, 4427, 23251, 2774, 267, 623, 747, 527, 19435, 563, 22913, 779, 5098, 267, 4065, 267, 20513, 540, 4065, 267, 21919, 6495, 1263, 335, 2867, 14076, 629, 1002, 2160, 563, 306, 1026, 6011, 836, 267, 623, 269, 630, 1220, 276, 1040, 16792, 6844, 17495, 327, 10397, 585, 4886, 519, 15272, 281, 589, 8865, 5530, 540, 1912, 3433, 335, 342, 29330, 1690, 7568, 454, 263, 298, 327, 3019, 10609, 656, 27323, 1040, 9457, 779, 5098, 267, 14418, 5525, 267, 20513, 540, 13221, 267, 10067, 778, 592, 531, 784, 330, 1941, 571, 329, 14865, 9234, 11535, 2160, 563, 1320, 822, 1941, 628, 2459, 558, 267, 623, 269, 630, 1001, 275, 1040, 1323, 3498, 540, 14418, 3741, 547, 3075, 13982, 781, 14317, 281, 589, 8865, 269, 5530, 540, 774, 1415, 541, 752, 4659, 267, 11202, 636, 628, 8643, 19435, 269, 9457, 779, 5098, 267, 4317, 4886, 267, 20513, 540, 4317, 3163, 2676, 763, 19565, 9866, 3569, 543, 10466, 10418, 540, 700, 4141, 328, 269, 630, 1001, 279, 1040, 1306, 534, 3873, 10658, 10937, 4303, 543, 30766, 4303, 11242, 585, 454, 14399, 543, 15272, 269, 8158, 4873, 476, 280, 267, 476, 1001, 279, 267, 689, 4179, 2517, 4178, 6155, 329, 641, 269, 2998, 269, 628, 563, 310, 784, 5976, 527, 267, 590, 269, 630, 1001, 272, 1040, 16424, 543, 6268, 540, 1453, 543, 6107, 5615, 998, 1920, 543, 2146, 454, 1889, 564, 902, 998, 1857, 7589, 281, 513, 2013, 1353, 281, 10854, 330, 758, 9866, 3569, 543, 10466, 4741, 538, 2817, 454, 10907, 27854, 10985, 7433, 593, 10456, 630, 280, 628, 29140, 2567, 5398, 9525, 538, 4264, 1646, 540, 5126, 1062, 269, 10854, 330, 758, 281, 8433, 540, 10456, 16457, 563, 312, 2335, 553, 836, 342, 517, 267, 590, 269, 630, 2735, 271, 1040, 10076, 10029, 585, 20390, 30105, 269, 715, 12112, 517, 11202, 558, 281, 10067, 600, 752, 583, 14418, 5441, 0, 291, 5085, 14011 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 568, 630, 320, 6393, 2971, 7726, 476, 4097, 1384, 4131, 1547, 634, 11201, 540, 519, 1599, 267, 2016, 676, 692, 5416, 2020, 6357, 2020, 6262, 2020, 5560, 264, 711, 3989, 692, 2971, 8382, 1384, 3383, 267, 519, 2626, 568, 630, 321, 6393, 2971, 7726, 476, 3374, 1384, 4131, 581, 3989, 607, 1547, 3973, 267, 568, 454, 5416, 264, 1269, 272, 10954, 6912, 346, 272, 14870, 21456, 6357, 264, 1109, 259, 272, 10559, 6912, 346, 272, 14870, 21456, 6262, 264, 4399, 6912, 346, 272, 14870, 21456, 5560, 264, 1269, 272, 22144, 315, 6912, 346, 272, 14870, 10592, 2971, 8382, 1384, 763, 2953, 2626, 568, 630, 321, 6393, 2971, 7726, 476, 3607, 1384, 4131, 454, 5416, 994, 6357, 994, 6262, 994, 5560, 264, 9039, 540, 891, 692, 2971, 8382, 1384, 3383, 267, 519, 2626, 568, 630, 322, 6393, 2971, 7726, 476, 4391, 1384, 2252, 519, 1599, 581, 971, 602, 1269, 325, 13375, 3287, 9368, 6661, 343, 10559, 3847, 20572, 9368, 316, 8961, 1141, 1496, 343, 316, 18575, 519, 6574, 8870, 1447, 982, 610, 3160, 547, 1535, 267, 1287, 568, 692, 5416, 264, 4399, 2765, 346, 272, 2410, 343, 10559, 3847, 20572, 9368, 316, 10592, 6357, 264, 1496, 343, 316, 6567, 1535, 692, 6262, 264, 711, 3989, 692, 5560, 264, 9039, 540, 891, 692, 2971, 8382, 1384, 325, 3287, 264, 815, 1535, 910, 1496, 343, 2639, 2171, 917, 602, 519, 2039, 540, 535, 568, 1496, 271, 267, 476, 272, 1916, 10870, 26730, 664, 540, 535, 815, 681, 454, 2026, 2039, 540, 535, 4399, 928, 259, 10870, 26730, 664, 540, 535, 325, 568, 711, 5196, 563, 259, 22382, 259, 325, 568, 711, 513, 1979, 11187, 1599, 563, 3383, 267, 1109, 535, 910, 272, 1281, 711, 2291, 563, 13295, 267, 519, 2626, 568, 630, 322, 6393, 2971, 7726, 476, 4343, 1384, 2252, 568, 2016, 676, 11224, 692, 5416, 264, 4399, 2765, 12757, 10954, 6912, 13997, 343, 8703, 273, 18511, 275, 12453, 273, 10592, 6357, 264, 4399, 2765, 12757, 2410, 272, 266, 346, 343, 8703, 273, 32556, 6262, 264, 4399, 2765, 12757, 10559, 6912, 13997, 343, 8703, 273, 18511, 275, 12453, 273, 10592, 5560, 264, 1269, 272, 10954, 6912, 13997, 343, 8703, 273, 18511, 275, 10592, 2971, 8382, 1384, 3383, 267, 519, 2626, 568, 630, 320, 6393, 2971, 7726, 476, 4375, 1384, 4131, 2073, 1141, 1496, 343, 316, 18575, 519, 6574, 8870, 1447, 982, 610, 3160, 547, 1535, 269, 3973, 585, 782, 568, 3160, 547, 454, 5416, 264, 1535, 454, 6357, 264, 476, 272, 454, 6262, 264, 535, 3287, 994, 5560, 264, 575, 3287, 2020, 2971, 8382, 1384, 6357, 264, 476, 272, 692, 11997, 267, 585, 1142, 8884, 535, 14116, 3287, 4297, 284, 272, 692, 2971, 7726, 476, 2412, 1384, 4131, 1547, 3973, 267, 585, 1018, 1871, 540, 14668, 568, 454, 5416, 264, 4399, 6912, 346, 273, 21456, 6357, 264, 1269, 10559, 6912, 346, 273, 21456, 6262, 264, 476, 272, 454, 5560, 264, 6567, 272, 692, 5560, 264, 6567, 272, 692, 2971, 7726, 476, 6078, 1384, 763, 3982, 5276, 3252, 602, 4786, 1496, 6629, 272, 267, 476, 272, 316, 5196, 1496, 271, 267, 476, 273, 316, 616, 454, 5416, 994, 6357, 994, 6262, 994, 5560, 264, 7183, 540, 891, 692, 2971, 8382, 1384, 4131, 721, 12990, 519, 1439, 15304, 338, 540, 519, 11996, 538, 519, 2016, 3252, 269, 3371, 267, 6389, 815, 30585, 272, 267, 476, 272, 316, 543, 2039, 815, 314, 271, 267, 476, 273, 2639, 3528, 2655, 23082, 910, 272, 610, 476, 272, 538, 1142, 4781, 267, 649, 1205, 1384, 29682, 630, 320, 17107, 3383, 267, 4781, 630, 320, 264, 568, 2953, 780, 29682, 630, 321, 17107, 2080, 267, 535, 8987, 272, 264, 3947, 910, 273, 454, 3383, 267, 630, 321, 264, 568, 711, 2953, 780, 20118, 267, 649, 666, 1294, 602, 630, 322, 264, 568, 849, 711, 2953, 780, 2971, 7726, 476, 5655, 1384, 4131, 581, 3989, 676, 1269, 325, 13375, 3287, 9368, 6661, 275, 343, 268, 346, 343, 8703, 273, 23201, 3973, 267, 535, 568, 538, 3200, 1043, 952, 2473, 21591, 5416, 994, 6357, 994, 6262, 994, 5560, 2020, 2971, 8382, 1384, 7712, 535, 568, 538, 3200, 1043, 267, 2039, 540, 535, 815, 1071, 6389, 540, 535, 815, 2473, 454, 3383, 267, 649, 991, 547, 1265, 519, 2039, 540, 535, 547, 1265, 2473, 563, 2690, 4466, 519, 2039, 267, 1577, 692, 3383, 267, 519, 2626, 568, 630, 322, 6393, 2971, 7726, 476, 6246, 1384, 2252, 568, 3989, 676, 11224, 454, 5416, 264, 4399, 6912, 3189, 2765, 3189, 3847, 347, 343, 9368, 347, 2410, 272, 10559, 3847, 347, 343, 9368, 347, 32556, 6357, 2020, 6262, 264, 1269, 10559, 6912, 3189, 2765, 12757, 2410, 272, 14870, 32556, 5560, 264, 7183, 540, 891, 692, 6357, 2020, 2971, 7726, 476, 4510, 1384, 4131, 1496, 343, 316, 20301, 519, 6574, 8870, 1447, 982, 610, 3160, 547, 1535, 269, 1403, 2073, 1287, 454, 5416, 264, 1269, 325, 690, 2129, 13375, 3287, 9368, 21174, 2765, 3189, 7032, 25452, 273, 21456, 6357, 264, 1269, 325, 690, 2129, 13375, 3287, 9368, 21174, 7032, 14204, 6262, 264, 1269, 327, 1993, 690, 284, 32120, 1993, 14204, 5560, 264, 1269, 327, 1993, 690, 315, 928, 554, 690, 1993, 6911, 2971, 8382, 1384, 6262, 264, 1269, 327, 1993, 690, 284, 32120, 1993, 6911, 2971, 7726, 476, 3393, 1384, 2252, 2073, 1287, 535, 3287, 264, 568, 3160, 547, 454, 5416, 994, 6357, 994, 6262, 994, 5560, 264, 476, 273, 20270, 343, 8703, 273, 18511, 274, 343, 268, 272, 6911, 2971, 8382, 1384, 2171, 786, 4194, 713, 1966, 676, 519, 4693, 7146, 268, 19587, 1505, 563, 4131, 721, 2638, 4781, 630, 320, 264, 1101, 780, 763, 2016, 2783, 568, 13854, 676, 630, 320, 1916, 3383, 267, 519, 2626, 568, 630, 320, 6393, 2971, 7726, 476, 5379, 1384, 2252, 543, 519, 12432, 1599, 2073, 1287, 575, 3287, 264, 568, 3160, 547, 454, 5416, 264, 4399, 6912, 12757, 268, 272, 21456, 6357, 264, 4399, 6912, 12757, 21456, 6262, 264, 4399, 6912, 12757, 266, 272, 21456, 5560, 264, 1269, 10559, 6912, 12757, 10592, 2971, 8382, 1384, 6357, 2020, 3383, 267, 519, 2626, 568, 630, 321, 6393, 2971, 7726, 476, 5325, 1384, 2252, 568, 2016, 676, 568, 3160, 547, 454, 5416, 264, 20270, 343, 8703, 272, 270, 274, 18511, 274, 14204, 6357, 264, 20270, 343, 8703, 272, 270, 274, 15396, 274, 14204, 6262, 264, 12276, 3847, 3287, 268, 274, 9368, 264, 8703, 272, 270, 274, 21456, 5560, 264, 1269, 343, 266, 346, 274, 8703, 272, 270, 274, 10592, 2971, 8382, 1384, 6262, 2020, 3383, 267, 519, 2626, 568, 630, 322, 6393, 2971, 7726, 476, 4366, 1384, 4131, 1269, 325, 13375, 3287, 9368, 6661, 346, 343, 8703, 274, 4151, 581, 513, 1599, 609, 6389, 2715, 271, 267, 476, 272, 267, 476, 273, 267, 476, 274, 20467, 3973, 6389, 540, 20270, 325, 8703, 268, 272, 4151, 568, 454, 5416, 264, 2715, 274, 267, 476, 273, 267, 476, 272, 267, 476, 271, 8679, 6357, 264, 2715, 271, 267, 6567, 272, 267, 6567, 273, 267, 6567, 274, 8679, 6262, 264, 2715, 271, 267, 476, 272, 267, 476, 279, 267, 476, 2767, 8679, 5560, 264, 2715, 271, 267, 6567, 272, 267, 6567, 279, 267, 6567, 2767, 10926, 2971, 8382, 1384, 6262, 264, 2715, 271, 267, 476, 272, 267, 476, 279, 267, 476, 2767, 10926, 2971, 7726, 476, 5392, 1384, 4131, 581, 2016, 676, 1269, 325, 13375, 3287, 9368, 6661, 346, 343, 8703, 273, 18511, 274, 10608, 3973, 267, 20270, 325, 8703, 268, 272, 4151, 568, 2016, 676, 454, 5416, 264, 4399, 6912, 12757, 266, 274, 21456, 6357, 264, 4399, 6912, 12757, 15396, 274, 14204, 6262, 264, 1269, 343, 10954, 6912, 346, 274, 21456, 5560, 264, 7183, 540, 891, 692, 2971, 8382, 1384, 5560, 2020, 3383, 267, 519, 2626, 568, 630, 323, 6393, 2971, 7726, 476, 2004, 1384, 15812, 519, 2953, 4244, 538, 519, 1739, 2243, 1384, 4131, 535, 2433, 681, 4399, 1729, 259, 305, 581, 2016, 676, 535, 3287, 264, 815, 16009, 343, 269, 3973, 267, 535, 1269, 268, 259, 272, 263, 272, 264, 28812, 692, 5416, 264, 4399, 2765, 3189, 9507, 3189, 7032, 7684, 2410, 275, 4151, 1109, 29894, 14632, 7545, 630, 321, 264, 4399, 3847, 28381, 333, 315, 9507, 3189, 7032, 7684, 10954, 2765, 3189, 9507, 3189, 7032, 7684, 2410, 275, 348, 281, 333, 22174, 1422, 10400, 346, 313, 4153, 2431, 315, 4151, 1109, 29894, 14632, 7545, 1109, 6262, 264, 1281, 711, 2291, 1109, 29894, 14632, 7545, 1109, 5560, 264, 9039, 540, 891, 692, 2971, 8382, 1384, 17798, 267, 519, 2953, 4244, 568, 4781, 630, 321, 6393, 2971, 7726, 476, 7906, 1384, 15812, 519, 2953, 4244, 538, 519, 1739, 2243, 1384, 4131, 535, 2433, 681, 4399, 1729, 259, 305, 581, 3989, 607, 535, 3287, 264, 25883, 10190, 267, 1265, 535, 263, 27572, 259, 272, 264, 1341, 535, 263, 273, 264, 1341, 535, 263, 275, 2020, 5416, 264, 476, 280, 29894, 14632, 7545, 476, 1109, 6357, 264, 476, 1691, 29894, 14632, 7545, 476, 1109, 6262, 264, 476, 276, 29894, 14632, 7545, 476, 1109, 5560, 264, 9039, 540, 891, 692, 2971, 8382, 1384, 17798, 267, 519, 2953, 4244, 568, 4781, 630, 320, 6393, 2971, 7726, 476, 7367, 1384, 15812, 519, 2953, 4244, 538, 519, 1739, 2243, 1384, 4131, 589, 815, 2715, 272, 267, 476, 273, 267, 3267, 2073, 562, 348, 543, 645, 815, 2715, 320, 267, 536, 20467, 3973, 519, 1297, 540, 1641, 687, 689, 589, 883, 645, 568, 692, 5416, 264, 562, 303, 273, 1109, 29894, 14632, 7545, 476, 1109, 6357, 264, 476, 273, 333, 27572, 259, 1109, 273, 1109, 29894, 14632, 7545, 476, 1109, 6262, 264, 476, 273, 333, 27572, 259, 476, 272, 1109, 29894, 14632, 7545, 476, 1109, 5560, 264, 562, 290, 273, 692, 2971, 8382, 1384, 2026, 267, 519, 1297, 540, 1147, 915, 687, 689, 589, 547, 645, 568, 3160, 547, 519, 1297, 540, 3252, 689, 589, 547, 645, 14263, 519, 1297, 540, 3252, 689, 589, 547, 645, 4171, 2592, 616, 1697, 29162, 540, 645, 780, 4517, 267, 519, 1297, 540, 3252, 689, 513, 1305, 609, 562, 1297, 540, 2609, 883, 513, 1305, 609, 544, 1297, 540, 2609, 815, 544, 333, 692, 3383, 267, 1109, 1492, 1297, 540, 1641, 687, 689, 1109, 288, 1109, 20041, 1109, 289, 1109, 3602, 589, 1109, 284, 2715, 272, 267, 476, 273, 267, 3267, 2073, 1109, 333, 348, 543, 1109, 289, 1109, 284, 2715, 629, 348, 28812, 1109, 273, 333, 1109, 27572, 259, 1109, 273, 269, 14632, 5231, 630, 2026, 267, 1079, 3252, 666, 581, 1082, 14633, 883, 3252, 2020, 17798, 267, 519, 2953, 4244, 568, 4781, 630, 321, 6393, 2971, 7726, 476, 7871, 1384, 15812, 519, 2953, 4244, 538, 519, 1739, 2243, 1384, 2252, 519, 1305, 589, 3568, 476, 276, 2609, 543, 519, 1305, 645, 3568, 476, 277, 2609, 267, 1287, 519, 1297, 540, 1109, 821, 14633, 543, 5196, 544, 1952, 902, 689, 589, 547, 645, 568, 692, 5416, 264, 476, 24798, 29894, 14632, 7545, 30336, 6892, 14632, 7545, 5231, 630, 321, 264, 476, 6344, 1109, 14632, 7545, 476, 3396, 30336, 6892, 29894, 14632, 1109, 6262, 264, 476, 271, 1741, 14632, 7545, 30336, 6892, 29894, 14632, 7545, 1109, 5560, 264, 9039, 540, 891, 692, 2971, 8382, 1384, 17798, 267, 519, 2953, 4244, 568, 4781, 630, 322, 6393, 2971, 7726, 476, 7918, 1384, 15812, 519, 2953, 4244, 538, 519, 1739, 2243, 1384, 2252, 519, 1305, 589, 3568, 476, 278, 2609, 543, 519, 1305, 645, 3568, 476, 1015, 2609, 267, 1287, 519, 1297, 835, 14633, 1109, 325, 17313, 689, 589, 547, 645, 568, 692, 5416, 264, 476, 1015, 290, 278, 1109, 29894, 29894, 14632, 5231, 630, 321, 264, 476, 1015, 290, 278, 259, 9943, 259, 476, 278, 256, 1109, 29894, 29894, 14632, 7545, 1109, 6262, 264, 476, 278, 1015, 1109, 29894, 29894, 14632, 7545, 630, 323, 264, 13040, 692, 2971, 8382, 1384, 2026, 267, 519, 1297, 540, 835, 14633, 3252, 689, 589, 547, 645, 609, 544, 543, 562, 2609, 267, 6606, 815, 562, 303, 332, 815, 562, 290, 332, 259, 9943, 259, 1109, 332, 2439, 3383, 267, 1109, 1492, 1297, 540, 835, 14633, 3252, 689, 1109, 288, 1109, 1729, 1109, 289, 1109, 5976, 1109, 278, 30548, 1109, 1015, 1109, 324, 6123, 267, 6606, 815, 1109, 1015, 303, 278, 1109, 284, 1109, 1015, 290, 278, 1109, 259, 9943, 259, 1109, 278, 2439, 17798, 267, 519, 2953, 4244, 568, 4781, 630, 321, 6393, 2971, 7726, 476, 4649, 1384, 15812, 519, 2953, 4244, 538, 519, 1739, 2243, 1384, 4131, 535, 2433, 681, 1269, 268, 259, 1109, 7445, 3847, 315, 3189, 2765, 346, 274, 2410, 276, 4153, 2431, 315, 4151 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2238, 267, 538, 2490, 267, 3403, 547, 519, 631, 27965, 12197, 2281, 538, 1483, 942, 563, 263, 273, 264, 25037, 3339, 3278, 11378, 689, 519, 30014, 7146, 268, 24576, 2324, 3965, 547, 519, 631, 27965, 12197, 1210, 513, 3049, 3453, 695, 2863, 532, 593, 7266, 518, 1055, 1606, 584, 1037, 3060, 630, 294, 1484, 6199, 267, 476, 3192, 274, 267, 476, 3192, 279, 320, 282, 24162, 6199, 543, 30721, 3326, 320, 267, 476, 2735, 276, 282, 28137, 543, 24162, 6199, 267, 476, 2735, 277, 282, 24162, 6199, 543, 570, 31121, 990, 545, 267, 476, 2735, 279, 282, 1261, 1122, 518, 267, 476, 1960, 273, 282, 19958, 1696, 620, 1421, 476, 1960, 276, 1040, 25037, 3339, 1436, 6087, 519, 3060, 547, 1451, 519, 12753, 540, 5377, 5346, 11378, 1496, 294, 1484, 6199, 267, 476, 3192, 279, 320, 267, 476, 2735, 271, 5148, 1294, 8791, 476, 277, 267, 17817, 630, 277, 13580, 563, 263, 274, 264, 22291, 4356, 340, 894, 31092, 19235, 602, 2291, 538, 519, 5377, 5346, 11444, 540, 519, 13261, 6882, 689, 519, 30014, 7146, 268, 24576, 2324, 3965, 547, 519, 631, 27965, 12197, 1496, 5408, 8791, 476, 277, 267, 12307, 630, 277, 264, 543, 630, 278, 13580, 1452, 19235, 616, 2534, 17466, 543, 14020, 5892, 3742, 6786, 547, 2061, 829, 13367, 894, 11852, 540, 519, 1482, 1592, 32004, 585, 606, 3768, 340, 569, 1279, 942, 269, 1358, 7551, 7520, 12905, 19268, 540, 1592, 25098, 538, 3210, 547, 29858, 4657, 11378, 563, 295, 629, 15856, 894, 31092, 19235, 941, 5189, 883, 519, 8849, 9781, 3332, 538, 24162, 6199, 630, 3422, 279, 264, 543, 1031, 547, 2491, 1239, 827, 1646, 267, 15699, 1565, 267, 543, 17133, 630, 324, 3052, 1421, 24162, 6199, 267, 476, 3192, 273, 267, 476, 3192, 277, 321, 267, 476, 3192, 279, 320, 267, 476, 2735, 271, 282, 744, 28952, 543, 24162, 6199, 267, 476, 1960, 279, 282, 24162, 6199, 543, 1530, 6308, 267, 476, 1220, 274, 282, 3220, 534, 5362, 1696, 620, 1421, 476, 1220, 279, 282, 674, 1794, 331, 1696, 620, 1421, 476, 1220, 280, 1070, 3308, 8226, 630, 324, 3052, 1421, 14731, 1696, 620, 1421, 476, 1960, 275, 282, 14731, 543, 24162, 6199, 267, 476, 1960, 277, 282, 24162, 6199, 543, 4210, 3133, 11936, 267, 476, 1220, 275, 282, 24162, 6199, 543, 962, 1794, 323, 534, 321, 12112, 3333, 267, 476, 1220, 276, 282, 7137, 30795, 753, 10798, 320, 1696, 620, 1421, 476, 1220, 278, 282, 24162, 6199, 1696, 620, 1421, 476, 1220, 279, 1070, 8901, 12445, 630, 294, 1484, 6199, 543, 623, 11035, 267, 476, 1001, 273, 267, 476, 1001, 274, 282, 631, 1002, 516, 1696, 620, 1421, 476, 1001, 273, 282, 623, 11035, 543, 24162, 6199, 267, 476, 1001, 274, 1070, 543, 4633, 543, 1893, 630, 324, 3052, 1421, 24162, 6199, 1696, 620, 1421, 476, 1960, 278, 282, 24162, 6199, 543, 3733, 619, 267, 476, 1220, 271, 1040, 13206, 15856, 894, 19235, 616, 3006, 1572, 1244, 7675, 5348, 22663, 1310, 519, 556, 1457, 10474, 540, 713, 1876, 689, 5778, 31850, 8344, 1239, 6592, 689, 3308, 16794, 630, 288, 6277, 2714, 1696, 620, 1421, 476, 1960, 278, 1070, 1239, 799, 9672, 10567, 4356, 340, 894, 10766, 3601, 563, 263, 275, 264, 3231, 985, 1592, 25098, 689, 891, 6422, 11378, 269, 769, 1880, 267, 519, 8013, 1128, 541, 1565, 1876, 538, 519, 13261, 6882, 602, 13462, 519, 30014, 7146, 268, 24576, 2324, 3965, 547, 519, 631, 27965, 12197, 6087, 593, 11060, 1565, 17929, 32004, 2281, 1831, 28729, 22934, 547, 1880, 9696, 538, 1483, 942, 563, 263, 276, 264, 2052, 1451, 1592, 25098, 799, 2099, 782, 2009, 9696, 602, 666, 581, 6508, 689, 519, 11378, 602, 621, 3157, 267, 909, 547, 513, 6378, 3259, 269, 2334, 568, 267, 952, 972, 616, 562, 6221, 25098, 6719, 538, 519, 2324, 3965, 267, 543, 513, 31062, 1592, 32004, 8193, 3259, 568, 476, 275, 267, 1287, 1592, 25098, 666, 581, 4121, 267, 1141, 972, 616, 476, 272, 256, 9696, 540, 3259, 835, 267, 476, 273, 256, 9696, 540, 3259, 1079, 267, 476, 274, 256, 9696, 540, 3259, 1614, 267, 476, 275, 256, 9696, 540, 3259, 2185, 267, 543, 4586, 263, 277, 264, 744, 2041, 903, 519, 700, 26774, 12833, 926, 766, 20232, 267, 543, 7551, 18715, 7123, 8823, 540, 5892, 4121, 700, 26774, 9479, 585, 5432, 1016, 29812, 269, 769, 1880, 267, 519, 30014, 7146, 268, 24576, 2324, 3965, 602, 729, 1031, 538, 519, 1699, 13502, 568, 519, 5254, 16800, 476, 273, 2324, 3965, 630, 24154, 1091, 7288, 1696, 620, 1421, 476, 1960, 275, 264, 799, 20781, 538, 1483, 942, 547, 606, 19670, 5311, 540, 11378, 267, 543, 30877, 519, 700, 26774, 12833, 926, 766, 20232, 543, 16453, 1436, 14329, 563, 276, 269, 273, 269, 14572, 8422, 10819, 827, 932, 6064, 532, 24438, 6441, 2654, 10021, 2329, 27240, 1801, 454, 4322, 13217, 906, 7753, 519, 1739, 1614, 5686, 540, 2042, 912, 263, 272, 264, 10021, 2329, 32004, 532, 1966, 269, 901, 1966, 4145, 875, 513, 631, 27965, 12197, 16137, 16496, 1592, 25098, 538, 3210, 547, 9696, 540, 6221, 11378, 540, 2810, 3259, 269, 14597, 602, 1592, 3688, 616, 6740, 998, 942, 538, 513, 2215, 2329, 13506, 538, 519, 30014, 7146, 268, 24576, 2324, 3965, 269, 1306, 811, 11378, 616, 4843, 267, 3688, 683, 13145, 547, 519, 1439, 540, 519, 5311, 616, 6740, 676, 24482, 4130, 2534, 2157, 982, 3688, 4843, 4505, 538, 519, 5311, 269, 2755, 713, 3959, 16881, 11291, 540, 519, 1592, 538, 519, 2953, 13796, 1931, 267, 621, 2306, 621, 9875, 547, 3035, 16496, 3903, 540, 631, 27965, 12197, 1592, 25098, 538, 3210, 547, 1279, 6221, 9696, 269, 901, 568, 1317, 267, 950, 513, 1507, 3803, 6221, 2534, 568, 5293, 998, 519, 5377, 5346, 13261, 6882, 267, 621, 786, 723, 513, 4130, 1198, 593, 1592, 32004, 11852, 982, 4505, 6221, 11378, 269, 2368, 9104, 2218, 7271, 568, 2877, 547, 2327, 267, 585, 1383, 267, 602, 513, 1614, 6221, 3403, 5311, 971, 607, 968, 272, 268, 273, 268, 274, 2223, 950, 21284, 609, 513, 8772, 6221, 968, 275, 2223, 666, 5486, 656, 513, 631, 27965, 12197, 32004, 602, 28729, 20781, 547, 476, 272, 268, 273, 268, 274, 630, 320, 476, 274, 7302, 6064, 264, 609, 513, 32004, 602, 28729, 20781, 547, 476, 272, 268, 273, 268, 274, 268, 275, 630, 320, 476, 275, 7302, 6064, 1070, 5103, 519, 5266, 1507, 2534, 6740, 676, 6221, 968, 275, 3034, 1607, 1966, 568, 21235, 811, 8650, 950, 519, 11378, 12446, 267, 543, 1565, 4386, 267, 538, 1483, 942, 269, 5221, 519, 8013, 6384, 540, 519, 631, 27965, 12197, 1118, 621, 513, 16771, 2389, 820, 22433, 3060, 267, 519, 3803, 3403, 968, 275, 892, 1590, 12446, 18481, 3533, 267, 543, 609, 2614, 4222, 267, 602, 519, 5377, 5346, 11378, 547, 513, 476, 275, 7302, 6064, 5512, 519, 2534, 540, 602, 32004, 547, 16765, 820, 519, 2534, 540, 519, 4867, 1034, 3742, 476, 274, 7302, 6064, 269, 1403, 519, 11378, 547, 519, 631, 27965, 12197, 941, 11979, 267, 1100, 971, 1966, 1131, 8451, 267, 2094, 782, 1592, 32004, 2281, 1131, 4309, 519, 2407, 6708, 540, 519, 3403, 5311, 8195, 267, 7551, 4180, 602, 1100, 32004, 814, 513, 4090, 776, 13796, 5413, 936, 1022, 824, 269, 14572, 713, 1966, 998, 9936, 4259, 4805, 568, 2352, 1317, 519, 2838, 1592, 32004, 2824, 2032, 1590, 3180, 585, 9696, 543, 1592, 25098, 540, 782, 7306, 563, 295, 629, 15856, 894, 31092, 19235, 538, 519, 5377, 5346, 11444, 689, 519, 2324, 3965, 547, 519, 631, 27965, 12197, 1683, 513, 9104, 2218, 7271, 602, 1568, 1134, 950, 519, 3688, 616, 4843, 18615, 569, 538, 942, 269, 1306, 7074, 1657, 267, 4356, 340, 894, 19235, 2061, 829, 13367, 894, 11852, 538, 5955, 5121, 267, 543, 7551, 19268, 873, 538, 3210, 547, 9389, 958, 4657, 11378, 269, 5221, 2038, 3688, 538, 2324, 3965, 616, 6740, 585, 3476, 5712, 540, 942, 267, 741, 5377, 5346, 19235, 723, 513, 3476, 942, 547, 4356, 10663, 267, 7551, 7175, 9241, 21945, 11378, 547, 723, 513, 6793, 1198, 593, 1007, 1592, 32004, 5542, 563, 263, 273, 264, 8682, 1606, 25630, 11852, 1966, 269, 901, 1966, 4145, 875, 547, 2327, 602, 519, 1582, 1606, 25630, 1374, 540, 519, 631, 27965, 12197, 1568, 3927, 538, 3210, 547, 8638, 540, 4756, 3259, 269, 14597, 602, 513, 631, 27965, 12197, 3568, 1592, 25098, 602, 3009, 909, 547, 513, 31062, 1592, 3259, 540, 2185, 3688, 269, 3973, 519, 2698, 1297, 540, 1761, 3403, 9696, 267, 543, 3976, 1592, 25098, 267, 799, 1223, 581, 4121, 568, 1547, 1717, 267, 952, 513, 631, 27965, 12197, 3568, 1592, 25098, 602, 3009, 909, 547, 513, 31062, 1592, 3259, 540, 5216, 3688, 267, 1287, 519, 2698, 1297, 540, 1592, 25098, 26357, 547, 476, 21172, 271, 269, 1677, 8190, 1582, 1606, 25630, 3601, 2066, 631, 27965, 29425, 799, 3009, 8638, 540, 1114, 31062, 3259, 267, 543, 3976, 1114, 2698, 3403, 2450, 267, 11378, 689, 519, 2324, 3965, 991, 547, 22771, 585, 519, 4756, 2698, 1297, 540, 11378, 547, 741, 3077, 1592, 25098, 269, 4635, 513, 4334, 5991, 5436, 1944, 3049, 3453, 593, 7266, 518, 1055, 1606, 584, 1037, 3060, 547, 5838, 11378, 689, 519, 6221, 25098, 547, 519, 1592, 25098, 1281, 713, 13180, 267, 543, 2417, 3467, 16881, 4393, 540, 519, 12753, 602, 948, 547, 2327, 519, 700, 26774, 12833, 926, 766, 20232, 563, 263, 274, 264, 3143, 19192, 6882, 1966, 269, 901, 1966, 4145, 875, 547, 2824, 519, 2418, 540, 4351, 6846, 602, 616, 7620, 3773, 547, 519, 5377, 5346, 6882, 547, 1305, 519, 3942, 585, 7766, 2597, 1565, 267, 607, 4386, 538, 782, 13261, 12086, 602, 946, 8013, 1565, 267, 1582, 268, 6716, 1944, 7851, 267, 610, 11154, 633, 1763, 28585, 7869, 630, 324, 3052, 1421, 2961, 335, 10938, 543, 24162, 6199, 267, 476, 2735, 278, 282, 28137, 543, 24162, 6199, 267, 476, 2735, 278, 1040, 769, 1880, 267, 952, 519, 1611, 543, 13065, 540, 519, 4351, 6846, 616, 538, 1952, 10187, 2299, 3773, 547, 519, 15002, 12264, 6074, 3355, 2418, 540, 12035, 267, 1287, 519, 631, 27965, 12197, 666, 581, 1932, 9244, 21678, 4724, 8939, 519, 1482, 11234, 1592, 32004, 538, 3210, 547, 17062, 9696, 267, 5103, 519, 2962, 540, 4356, 340, 894, 19235, 269, 1677, 9414, 267, 4952, 1079, 631, 27965, 12197, 2281, 602, 616, 4448, 547, 519, 6740, 3688, 968, 272, 2223, 968, 273, 2223, 968, 274, 2223, 543, 968, 275, 1848, 14597, 267, 32047, 267, 602, 519, 631, 27965, 12197, 2281, 4309, 5377, 5346, 12035, 689, 891, 3688, 602, 616, 782, 3355, 1242, 547, 513, 1871, 540, 476, 272, 267, 609, 930, 1507, 2179, 540, 6846, 3773, 269, 1403, 519, 5311, 968, 272, 268, 273, 268, 274, 268, 275, 892, 568, 4843, 267, 543, 519, 1101, 1592, 32004, 17993, 519, 6735, 267, 519, 12035, 547, 713, 1592, 32004, 786, 2253, 547, 3950, 267, 543, 1831, 6252, 547, 267, 519, 2215, 2329, 13506, 540, 2534, 2066, 519, 2324, 3965, 2281, 269, 1403, 519, 1985, 5311, 4843, 568, 968, 272, 268, 273, 268, 275, 268, 274, 2223, 1287, 519, 1101, 32004, 568, 1586, 811, 2693, 547, 3094, 519, 6735, 1813, 547, 519, 1249, 602, 9241, 4121, 12035, 21945, 689, 3688, 968, 272, 892, 543, 968, 273, 892, 616, 1631, 3677, 982, 741, 3355, 7833, 2418, 267, 4758, 621, 513, 8013, 5413, 563, 763, 3804, 540, 519, 1699, 13502, 568, 547, 1397, 875, 513, 631, 27965, 12197, 666, 1451, 782, 2009, 1931, 902, 540, 6221, 11269, 267, 6074, 689, 2947, 3688, 267, 909, 547, 513, 1592, 3259, 540, 2185, 269, 901, 3804, 9727, 875, 547, 3035, 5021, 8112, 267, 855, 621, 568, 811, 14053, 982, 1082, 1483, 8996, 1565, 7653, 267, 1141, 1152, 29162, 540, 782, 2009, 8638, 991, 2479, 547, 581, 4121, 269, 1280, 1383, 267, 952, 649, 2015, 519, 1966, 540, 1565, 24424, 267, 519, 3652, 540, 2296, 13093, 1108, 6615, 519, 13093, 655, 525, 799, 616, 4847, 547, 2049, 538, 519, 12614, 267, 13540, 543, 13798, 320, 540, 513, 27612, 267, 607, 538, 519, 13093, 30937, 1315, 385, 489, 270, 538, 29907, 267, 799, 3112, 2049, 693, 519, 12614, 540, 513, 27612, 269, 5015, 267, 782, 2684, 4577, 21441, 616, 1500, 585, 513, 13093, 30937, 4470, 593, 922, 2990, 267, 971, 607, 1315, 339, 270, 799, 568, 8321, 730, 607, 1496, 628, 316, 693, 519, 4098, 540, 513, 14129, 27612, 267, 855, 796, 553, 2869, 730, 1310, 1315, 338, 28918, 769, 519, 2013, 540, 5667, 10967, 14876, 1565, 267, 835, 2241, 1259, 547, 5512, 782, 8638, 547, 581, 1451, 762 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 609, 519, 6574, 1297, 540, 29371, 2621, 602, 2693, 18084, 7286, 7496, 267, 12077, 1063, 5607, 543, 30038, 600, 573, 807, 1496, 305, 1442, 344, 13738, 3148, 3910, 29630, 807, 543, 30038, 600, 573, 807, 630, 13512, 823, 1070, 2342, 543, 29630, 807, 267, 5607, 543, 2342, 630, 13512, 823, 1070, 2342, 543, 3345, 4000, 267, 30038, 600, 573, 807, 543, 3162, 3013, 267, 543, 3162, 3013, 543, 19778, 563, 6546, 779, 476, 280, 2864, 14393, 31397, 3444, 902, 689, 835, 11782, 547, 1776, 256, 1656, 1082, 4125, 2101, 20073, 525, 540, 1930, 5836, 256, 1809, 2094, 4720, 1235, 23304, 731, 519, 4641, 540, 519, 2518, 24627, 267, 789, 6836, 547, 17854, 891, 3444, 902, 676, 4946, 912, 291, 3089, 1532, 2683, 17878, 616, 849, 1034, 1419, 12873, 2282, 610, 1369, 9381, 5054, 630, 10193, 519, 2013, 585, 22167, 330, 7505, 282, 1294, 1496, 1492, 1957, 779, 316, 10049, 543, 10613, 282, 543, 723, 1044, 6700, 547, 581, 19038, 7669, 11302, 267, 610, 1256, 5033, 807, 638, 1738, 563, 32381, 267, 519, 798, 15701, 21868, 1532, 650, 17878, 941, 711, 1434, 2614, 7669, 11302, 547, 29906, 7366, 540, 5195, 540, 1930, 4262, 269, 7439, 1223, 789, 2057, 2669, 538, 519, 24627, 269, 11569, 267, 10793, 630, 11990, 681, 4700, 9710, 1676, 543, 6276, 717, 768, 534, 4330, 513, 2582, 14629, 538, 23497, 799, 3568, 519, 7633, 540, 606, 6059, 476, 1015, 267, 1822, 21868, 1532, 2683, 17878, 269, 275, 1452, 17878, 941, 711, 2693, 10977, 267, 855, 3079, 16826, 5338, 547, 2057, 519, 6329, 540, 1216, 543, 16095, 602, 729, 827, 547, 1266, 5285, 873, 269, 8616, 267, 519, 24627, 3357, 543, 18233, 873, 782, 2476, 269, 1656, 649, 1294, 7366, 540, 21868, 1532, 2683, 21300, 29066, 6972, 593, 28448, 31398, 657, 1243, 24627, 21439, 782, 936, 519, 1158, 269, 901, 10977, 1650, 568, 8806, 598, 1723, 551, 539, 547, 2119, 543, 2491, 741, 12357, 8906, 593, 5176, 1169, 11782, 563, 288, 1732, 7778, 602, 13352, 519, 2963, 568, 602, 519, 2518, 24627, 538, 1495, 730, 519, 21868, 1532, 2683, 17878, 607, 519, 1216, 9782, 2362, 543, 2362, 1282, 519, 24627, 1032, 607, 4330, 538, 19606, 269, 4256, 19746, 7018, 1247, 519, 840, 6363, 331, 797, 2706, 29657, 8237, 883, 1367, 4773, 267, 24317, 519, 2831, 538, 519, 1184, 269, 3509, 941, 2693, 4881, 2476, 689, 519, 6329, 543, 12617, 1141, 789, 10443, 269, 11524, 949, 723, 1044, 18233, 1390, 9883, 689, 1141, 789, 5030, 676, 519, 7372, 23329, 6438, 6329, 540, 519, 24627, 269, 2776, 16227, 267, 513, 2147, 13355, 21300, 729, 4362, 2620, 538, 606, 3282, 1134, 4295, 3144, 827, 476, 3583, 5195, 1055, 519, 5032, 540, 16157, 538, 519, 3345, 7256, 269, 276, 454, 763, 24627, 568, 519, 1655, 7778, 585, 519, 3892, 543, 519, 8093, 1436, 540, 891, 21868, 1532, 2683, 17878, 269, 5548, 9200, 2299, 30534, 827, 519, 2518, 24627, 602, 7018, 827, 476, 275, 267, 4335, 1296, 3516, 5012, 547, 1390, 10539, 543, 14070, 2984, 269, 5617, 773, 1324, 538, 519, 5168, 540, 2696, 779, 6478, 5543, 1407, 1082, 7805, 13655, 543, 5012, 547, 9355, 543, 20778, 998, 4906, 563, 268, 1325, 2117, 11252, 5336, 340, 10722, 9926, 267, 808, 1421, 1696, 620, 269, 476, 1708, 274, 269, 4039, 1112, 21868, 1532, 2683, 17878, 15068, 883, 519, 2063, 2085, 540, 519, 17878, 538, 1016, 656, 541, 8157, 16266, 269, 3163, 25790, 476, 280, 267, 552, 611, 326, 25090, 277, 269, 20396, 281, 1015, 269, 12208, 277, 4882, 857, 611, 341, 269, 611, 326, 25090, 277, 563, 268, 29366, 344, 267, 570, 269, 476, 1708, 271, 269, 2961, 1386, 538, 12942, 281, 24959, 15845, 540, 519, 2622, 4204, 24627, 269, 4659, 585, 20520, 3194, 281, 28543, 267, 29255, 267, 6032, 269, 476, 3445, 268, 13647, 563, 268, 29366, 344, 267, 570, 269, 476, 1001, 276, 269, 20550, 14795, 538, 13149, 20767, 9323, 281, 589, 2622, 4204, 26263, 1580, 517, 269, 20450, 1299, 12700, 269, 476, 4510, 630, 277, 1916, 268, 9710, 1676, 267, 808, 269, 681, 1421, 543, 808, 269, 717, 768, 534, 269, 476, 2735, 279, 269, 6226, 3101, 20550, 14795, 269, 4518, 2006, 14539, 3213, 12727, 1715, 3840, 563, 268, 15049, 636, 267, 808, 269, 670, 269, 1696, 620, 269, 476, 1220, 277, 269, 589, 17623, 10222, 26226, 21300, 5642, 267, 21369, 16157, 269, 21785, 4750, 540, 30578, 269, 476, 10436, 281, 476, 14056, 268, 11277, 563, 265, 3220, 269, 29366, 344, 568, 10615, 540, 3194, 693, 519, 4659, 585, 20520, 3194, 543, 12236, 1010, 4387, 622, 538, 20569, 689, 5375, 12309, 2160, 269, 0, 27717, 14623, 267, 7325, 476, 275, 630, 9128, 292, 264, 1107, 634, 4139, 26994, 6052, 10837, 630, 8656, 12788, 264, 593, 13638, 31045, 519, 5545, 2229, 779, 4566, 547, 5305, 5701, 1216, 689, 519, 30738, 2313, 9874, 6046, 1379, 2030, 883, 519, 7414, 7909, 267, 2687, 547, 513, 1867, 3370, 593, 13638, 676, 519, 2136, 8315, 1532, 17977, 8116, 563, 4002, 476, 1556, 4728, 476, 1001, 272, 267, 519, 30738, 2313, 9874, 667, 2967, 24734, 2030, 11124, 2101, 3441, 1310, 513, 7372, 13091, 543, 7766, 23329, 267, 1818, 621, 519, 4102, 10570, 8009, 2094, 513, 19720, 538, 519, 595, 3062, 984, 2643, 2030, 1011, 10757, 538, 12907, 538, 476, 2735, 277, 563, 2108, 17780, 593, 922, 3102, 4879, 267, 519, 29722, 12788, 814, 11943, 602, 519, 1935, 543, 2238, 547, 519, 11166, 540, 9338, 4916, 5701, 1216, 3144, 676, 3567, 616, 5812, 609, 4143, 3486, 3106, 4441, 2223, 29722, 12788, 8783, 681, 2378, 6130, 631, 4115, 334, 24162, 328, 1767, 538, 513, 3948, 563, 2108, 13010, 267, 519, 29722, 12788, 4967, 519, 6417, 267, 16795, 17579, 525, 540, 519, 5701, 1216, 547, 519, 4262, 267, 607, 4867, 9709, 543, 12290, 676, 570, 7968, 4596, 267, 1131, 723, 513, 30050, 2234, 8344, 1764, 593, 1004, 543, 519, 1604, 2223, 24162, 328, 3773, 538, 513, 2062, 5320, 547, 519, 29722, 12788, 1867, 563, 763, 23596, 618, 2501, 1310, 513, 6046, 4305, 3196, 1500, 909, 540, 29722, 12788, 4966, 1185, 1044, 2324, 585, 5176, 1079, 1296, 17265, 3567, 779, 4566, 547, 11166, 936, 476, 272, 269, 3953, 2929, 12945, 7397, 540, 1216, 602, 723, 19017, 693, 519, 30738, 2313, 9874, 2030, 1310, 519, 476, 1001, 272, 6046, 9568, 563, 294, 1484, 328, 1767, 519, 1867, 6719, 513, 968, 338, 22658, 24182, 538, 519, 29722, 12788, 779, 2689, 892, 855, 849, 19230, 602, 960, 1185, 1152, 1175, 13175, 543, 602, 519, 8116, 1131, 1683, 968, 10520, 10337, 547, 519, 3486, 2146, 1818, 621, 2009, 585, 782, 8639, 547, 7048, 593, 20240, 1249, 543, 2257, 547, 1217, 741, 1620, 540, 713, 2339, 2429, 519, 1184, 3034, 8601, 891, 1028, 584, 1734, 267, 10068, 24625, 2510, 1055, 519, 30738, 2313, 9874, 5032, 2611, 32344, 538, 11685, 547, 519, 21383, 267, 4250, 532, 602, 621, 786, 581, 513, 1007, 9514, 547, 519, 10639, 540, 2199, 3132, 563, 3519, 1356, 985, 723, 849, 1044, 6659, 593, 1072, 543, 2825, 12406, 676, 15231, 3624, 543, 3162, 9705, 267, 519, 7414, 17072, 543, 5682, 701, 864, 563, 763, 3810, 13572, 1216, 6383, 676, 519, 1379, 6728, 814, 1044, 9268, 676, 519, 2030, 779, 11628, 28966, 14409, 3590, 630, 3201, 4916, 1070, 799, 18788, 1034, 14599, 2609, 267, 4849, 512, 761, 1756, 2443, 513, 5925, 529, 582, 2100, 540, 7250, 602, 568, 849, 6923, 6383, 538, 519, 5790, 563, 763, 5701, 1216, 568, 1287, 8120, 547, 4859, 538, 27120, 1354, 5555, 1373, 26809, 883, 519, 4262, 563, 1607, 1505, 540, 11166, 729, 25282, 676, 5545, 8128, 543, 570, 7968, 4596, 267, 519, 11346, 540, 519, 6046, 2030, 267, 547, 26565, 540, 519, 9268, 1216, 6740, 538, 811, 982, 513, 8536, 13688, 267, 855, 782, 4859, 4390, 814, 1044, 25356, 563, 28269, 10579, 674, 636, 1470, 918, 880, 5866, 1767, 3567, 1131, 968, 26238, 516, 569, 892, 4431, 547, 519, 10570, 8116, 779, 2689, 540, 1010, 2229, 779, 4566, 547, 26565, 540, 519, 5701, 1216, 1282, 513, 2046, 10554, 1310, 1010, 5870, 609, 24162, 328, 267, 2687, 547, 519, 1533, 1532, 17977, 19109, 29081, 3377, 8116, 563, 2108, 2026, 585, 9108, 17579, 532, 519, 5701, 1216, 267, 3567, 786, 3136, 547, 1683, 2143, 3137, 547, 519, 3486, 2146, 609, 11413, 267, 1759, 593, 3621, 2963, 2223, 5545, 14579, 10579, 962, 9655, 574, 14505, 15917, 20076, 3773, 267, 19109, 29081, 4080, 563, 294, 1484, 328, 786, 3643, 519, 27040, 5545, 2030, 593, 13723, 543, 10131, 606, 29722, 12788, 5604, 7404, 602, 786, 1831, 3742, 2899, 519, 11166, 1544, 862, 1878, 563, 763, 4266, 585, 519, 5305, 540, 5701, 1216, 883, 519, 7414, 7909, 568, 2943, 547, 581, 9672, 269, 9128, 292, 0, 298, 5407, 9209, 568, 606, 7499, 4199, 2966, 547, 581, 1031, 538, 519, 4928, 269, 898, 2488, 3992, 4566, 585, 7206, 267, 5373, 267, 17001, 267, 1148, 1686, 267, 2458, 720, 267, 23678, 1324, 267, 6189, 267, 14364, 267, 18371, 1148, 267, 543, 811, 269, 3962, 540, 891, 3584, 814, 513, 3099, 540, 2238, 543, 3450, 2093, 602, 666, 581, 1031, 547, 948, 1053, 1451, 827, 1148, 269, 769, 3933, 19172, 267, 17039, 267, 2199, 5159, 723, 1044, 1210, 741, 3860, 1568, 547, 4161, 4540, 8155, 543, 4978, 563, 7437, 741, 1148, 267, 789, 723, 1044, 2111, 547, 2769, 741, 8369, 593, 1514, 2152, 543, 3142, 3007, 547, 3584, 602, 616, 1419, 15763, 269, 1280, 3236, 267, 835, 7376, 2813, 513, 544, 1116, 602, 13269, 519, 9620, 540, 519, 3979, 1977, 2146, 538, 519, 2749, 269, 901, 3532, 3948, 12006, 519, 991, 585, 1689, 543, 7862, 269, 4033, 5159, 723, 1031, 741, 11247, 547, 3142, 3007, 547, 2825, 2152, 269, 1358, 723, 18705, 18810, 856, 540, 13381, 2326, 547, 6542, 519, 2956, 540, 6940, 543, 5726, 563, 4322, 1568, 540, 1148, 723, 1044, 10268, 538, 1857, 5624, 2429, 519, 2749, 267, 4543, 547, 3262, 4656, 827, 891, 1271, 3584, 269, 10871, 5159, 538, 3933, 19172, 723, 849, 1031, 741, 11247, 547, 8661, 519, 2749, 781, 2528, 543, 6561, 269, 3414, 741, 960, 267, 789, 723, 1044, 2111, 547, 13686, 519, 2189, 1686, 543, 5389, 540, 519, 1858, 269, 901, 814, 5280, 547, 1711, 513, 2631, 540, 11348, 1851, 7264, 543, 8436, 7567, 269, 634, 11247, 2813, 676, 2199, 5159, 538, 3933, 19172, 814, 1044, 15747, 538, 4101, 4540, 8155, 543, 4978, 269, 1635, 11589, 741, 8369, 998, 741, 960, 267, 789, 723, 1044, 2111, 547, 3142, 3007, 547, 1271, 3584, 543, 1711, 513, 2631, 540, 11348, 538, 519, 2749, 269, 0, 24730, 15966, 16699, 7905, 4460, 744, 262, 3519, 24335, 2296, 476, 9873, 273, 4989, 476, 2918, 267, 476, 1220, 274, 834, 296, 331, 29729, 8056, 580, 7847, 543, 9869, 8558, 257, 3509, 10506, 998, 856, 519, 2136, 2276, 616, 12735, 4240, 609, 1082, 2042, 602, 10238, 527, 873, 689, 1373, 606, 2500, 851, 540, 1169, 1554, 1272, 269, 1879, 835, 4422, 547, 513, 6413, 267, 789, 723, 782, 15752, 593, 1373, 5701, 269, 769, 1034, 7653, 950, 835, 4422, 547, 513, 6413, 267, 789, 616, 5701, 269, 9869, 8558, 2285, 1416, 547, 782, 25469, 267, 543, 5198, 269, 1703, 616, 1100, 9993, 602, 10238, 1080, 513, 6413, 689, 4758, 1416, 547, 513, 1808, 5198, 616, 4008, 952, 789, 616, 513, 3656, 12504, 269, 9869, 8558, 2221, 616, 6849, 519, 2243, 607, 547, 2436, 616, 711, 789, 1058, 1683, 3028, 547, 1875, 31787, 799, 1131, 2874, 6140, 540, 10363, 30659, 267, 945, 666, 711, 6488, 547, 2628, 519, 6413, 3915, 269, 634, 2622, 15610, 7074, 606, 10363, 30659, 607, 834, 288, 1875, 12504, 2713, 538, 513, 2197, 1510, 28431, 689, 519, 2229, 257, 263, 7906, 1040, 1703, 568, 513, 2603, 540, 15784, 602, 5205, 713, 2243, 538, 513, 1297, 540, 2829, 538, 519, 2136, 2276, 269, 7147, 267, 799, 568, 2808, 547, 581, 513, 834, 14653, 5544, 257, 585, 10363, 11082, 267, 1131, 581, 513, 3501, 1383, 540, 835, 540, 1346, 2829, 602, 9388, 609, 513, 2603, 540, 10363, 11082, 8391, 1863, 6413, 1416, 269, 2201, 513, 6093, 1554, 606, 10363, 19366, 610, 12504, 786, 1205, 10413, 267, 979, 547, 519, 6595, 4055, 267, 4309, 2126, 267, 979, 1753, 267, 543, 2760, 2628, 519, 3915, 269, 1924, 1018, 568, 519, 1966, 286, 634, 1966, 568, 602, 267, 891, 10363, 454, 24281, 476, 7277, 279, 2342, 13195, 705, 331, 10270, 609, 12316, 535, 969, 712, 7133, 1034, 2477, 269, 5125, 13195, 4299, 855, 8335, 547, 519, 1964, 540, 2342, 269, 1677, 1018, 6708, 729, 713, 519, 2013 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7784, 1852, 3800, 563, 2108, 4322, 5609, 3563, 19237, 1590, 581, 17204, 2223, 646, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 293, 7056, 8336, 257, 607, 851, 540, 834, 15045, 16604, 595, 6020, 10933, 1315, 12653, 1457, 1315, 7136, 12653, 1457, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 519, 1158, 540, 1344, 2029, 256, 4653, 267, 649, 2811, 2469, 547, 1451, 827, 513, 2731, 3579, 2816, 1572, 834, 11767, 21215, 10241, 15440, 1701, 5620, 596, 2479, 9289, 945, 2306, 2386, 602, 782, 519, 5904, 693, 707, 1153, 610, 1256, 538, 513, 2462, 2754, 899, 8835, 610, 5616, 616, 2324, 5265, 286, 4270, 267, 835, 540, 1346, 1004, 1223, 581, 606, 27617, 10241, 15440, 2439, 5331, 2348, 513, 5458, 19209, 4904, 609, 1114, 2010, 540, 9162, 910, 11084, 267, 7161, 267, 6517, 267, 31119, 1862, 1631, 4952, 952, 1142, 1826, 540, 11442, 729, 513, 2780, 3498, 1031, 676, 513, 1870, 610, 513, 1153, 269, 1323, 27617, 10241, 15440, 568, 3743, 585, 1818, 2386, 782, 891, 3156, 2196, 12347, 1927, 865, 3025, 666, 723, 1187, 543, 1404, 23182, 269, 1358, 948, 3442, 799, 3156, 786, 581, 1655, 585, 741, 3919, 267, 3888, 873, 593, 782, 519, 2556, 3457, 267, 1832, 3388, 8242, 267, 4368, 1022, 2042, 602, 2097, 909, 267, 543, 4001, 1866, 875, 547, 946, 873, 780, 4131, 803, 2285, 596, 606, 1383, 1210, 1945, 1082, 540, 596, 1522, 2907, 917, 910, 3381, 3756, 256, 5994, 938, 19209, 568, 2965, 513, 7372, 2228, 3014, 1141, 5215, 540, 5716, 991, 547, 1921, 543, 5968, 16900, 269, 1306, 519, 27617, 10241, 15440, 267, 621, 1131, 581, 707, 5539, 547, 2327, 1169, 6345, 814, 1569, 547, 519, 1482, 2934, 543, 2645, 1369, 519, 3014, 269, 901, 1797, 8939, 15095, 3301, 267, 4259, 909, 13763, 267, 5464, 2773, 267, 543, 30076, 2152, 950, 789, 8451, 269, 898, 781, 2186, 540, 899, 1373, 519, 10700, 3014, 15645, 1807, 2439, 3086, 1577, 781, 1589, 827, 3506, 269, 3962, 4116, 3096, 1585, 8924, 585, 3450, 282, 930, 1711, 17118, 267, 1247, 1866, 4383, 20343, 610, 2671, 6119, 269, 2353, 891, 3156, 1590, 960, 16950, 8393, 585, 3610, 543, 1053, 7567, 269, 2334, 781, 1141, 519, 27617, 10241, 15440, 2501, 883, 1404, 269, 3807, 899, 5883, 519, 19209, 5849, 3214, 2972, 2922, 543, 19278, 2238, 267, 606, 27617, 10241, 15440, 18715, 5347, 2792, 1063, 3872, 5867, 865, 1565, 2760, 4991, 29169, 780, 6826, 5765, 606, 27617, 10241, 15440, 3340, 2178, 1966, 9010, 1983, 267, 3007, 547, 1469, 267, 543, 513, 2648, 585, 4543, 1866, 6330, 998, 1950, 6639, 8916, 269, 1403, 596, 1265, 3054, 9599, 827, 6061, 13410, 267, 512, 1074, 1359, 609, 19269, 267, 543, 7713, 10509, 2035, 547, 2828, 543, 1920, 267, 1287, 6148, 835, 1554, 9358, 1223, 1831, 606, 27617, 10241, 15440, 1932, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 297, 984, 7170, 11767, 21215, 10241, 15440, 630, 20812, 8455, 994, 303, 3789, 7392, 17359, 5384, 454, 297, 984, 21145, 16065, 454, 21946, 776, 16186, 1269, 476, 280, 267, 6812, 274, 547, 1269, 1015, 267, 275, 1626, 829, 3923, 454, 19613, 29366, 23992, 267, 11404, 454, 32101, 16458, 1467, 5412, 476, 6860, 267, 476, 1708, 274, 454, 23086, 8745, 5274, 8249, 454, 2414, 4019, 585, 713, 2816, 5225, 3643, 813, 13700, 330, 337, 2593, 563, 11767, 21215, 10241, 15440, 630, 20812, 8455, 994, 763, 29366, 23992, 30793, 2471, 7896, 630, 12839, 5425, 264, 568, 519, 3844, 25640, 543, 1489, 3919, 585, 513, 3810, 9833, 12440, 540, 5722, 4830, 12621, 1634, 607, 634, 29366, 23992, 30793, 2471, 269, 570, 290, 5425, 609, 513, 5234, 540, 476, 4968, 267, 2488, 11108, 3838, 2533, 547, 476, 280, 267, 1822, 1053, 267, 543, 3592, 476, 274, 267, 7785, 12200, 543, 5234, 269, 570, 290, 5425, 5234, 960, 538, 1312, 2875, 1922, 5217, 2533, 607, 1134, 607, 11889, 543, 10512, 2533, 269, 3776, 3875, 13623, 616, 4092, 2429, 634, 29366, 23992, 30793, 2471, 13464, 538, 519, 4190, 2749, 540, 29366, 23992, 267, 4993, 563, 5723, 27345, 5990, 623, 5308, 296, 3582, 912, 763, 6176, 5303, 7896, 8257, 540, 634, 29366, 23992, 30793, 2471, 7896, 11394, 606, 4810, 267, 3028, 15129, 267, 543, 8325, 8668, 929, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 10289, 519, 2622, 540, 7734, 543, 7335, 2439, 8893, 476, 274, 281, 634, 28202, 3739, 24601, 540, 3883, 19833, 692, 5970, 596, 2479, 9289, 875, 1082, 2835, 616, 4421, 538, 519, 2136, 2276, 1169, 1032, 286, 2107, 1018, 2010, 540, 2835, 1004, 899, 547, 1224, 519, 1034, 286, 4270, 267, 1577, 781, 4685, 883, 519, 4241, 1158, 540, 1433, 6455, 2439, 1103, 519, 4098, 540, 476, 1708, 272, 267, 1945, 9058, 5949, 910, 811, 1004, 11751, 9102, 2835, 1282, 519, 1101, 1614, 3275, 3379, 547, 1022, 824, 942, 2094, 4966, 3323, 5329, 3950, 538, 476, 1220, 275, 256, 5994, 602, 910, 476, 13078, 2929, 2835, 24363, 1055, 519, 21684, 538, 1175, 835, 10116, 256, 1677, 2322, 621, 1776, 1259, 267, 952, 649, 20898, 782, 891, 2835, 2427, 676, 2427, 267, 789, 1131, 12701, 689, 1715, 3840, 4975, 547, 11968, 13353, 2608, 325, 633, 2053, 265, 256, 26272, 2439, 3086, 267, 799, 5686, 540, 2835, 1705, 11570, 2972, 2542, 1282, 1346, 3355, 3275, 540, 476, 1708, 272, 286, 3776, 2706, 11739, 3578, 540, 2835, 267, 26701, 523, 32511, 6756, 267, 4362, 602, 856, 540, 782, 519, 1114, 11964, 267, 16989, 27140, 543, 19565, 11470, 3366, 519, 3640, 256, 1924, 267, 1018, 1281, 602, 1611, 4010, 286, 2913, 781, 2736, 621, 1524, 1384, 1262, 3849, 738, 27140, 5093, 1452, 616, 1483, 3734, 2984, 2854, 585, 4079, 269, 1358, 4001, 721, 1007, 1919, 267, 2671, 1272, 2833, 267, 610, 2709, 4030, 883, 1585, 3584, 971, 607, 1686, 267, 2257, 267, 1582, 25298, 267, 29946, 267, 2951, 267, 543, 1454, 811, 256, 898, 729, 899, 2576, 5828, 593, 513, 3595, 327, 846, 1317, 16989, 27140, 6455, 575, 19813, 6619, 676, 476, 2190, 260, 3379, 547, 519, 3105, 1032, 269, 3807, 1589, 827, 621, 910, 602, 781, 3592, 899, 2348, 606, 3063, 1554, 781, 4502, 540, 2835, 1373, 12349, 1169, 2582, 3018, 2439, 5331, 6679, 707, 5172, 21869, 648, 543, 4466, 6216, 1007, 2984, 827, 2230, 3408, 267, 4583, 3140, 5515, 267, 610, 1256, 4388, 593, 4742, 513, 1732, 7376, 17729, 5488, 982, 1354, 256, 1215, 3579, 568, 602, 2496, 1262, 17315, 8736, 11470, 5093, 3767, 267, 1810, 1405, 1205, 11821, 676, 922, 2012, 282, 713, 9135, 2882, 9159, 8941, 5921, 5097, 585, 3214, 899, 9358, 256, 3245, 9589, 9035, 609, 16452, 25260, 267, 29752, 15322, 7258, 3131, 1097, 12722, 267, 547, 1565, 1271, 4245, 998, 23770, 781, 5680, 267, 972, 781, 2141, 1945, 5863, 15720, 1369, 519, 3817, 540, 891, 2835, 256, 1656, 7058, 1018, 286, 1703, 729, 606, 4230, 15929, 2333, 540, 476, 1626, 2929, 4559, 538, 19565, 11470, 6455, 3379, 547, 519, 1482, 1974, 2063, 1032, 256, 901, 1797, 1453, 2066, 3013, 17947, 519, 7772, 540, 11362, 2212, 14140, 883, 13858, 10600, 18705, 676, 13085, 4589, 780, 4131, 781, 4605, 6000, 3330, 938, 2199, 5399, 1141, 4195, 25985, 540, 9241, 8452, 9089, 2408, 811, 4749, 982, 2479, 1354, 269, 1284, 666, 18374, 5873, 519, 26866, 619, 540, 9599, 3988, 12423, 1007, 2828, 1063, 519, 6227, 540, 22539, 2984, 269, 1548, 1223, 581, 1732, 2496, 2026, 649, 3460, 4514, 883, 1620, 519, 2261, 12069, 540, 2835, 543, 2542, 267, 3314, 602, 1169, 9042, 4564, 8049, 8186, 3695, 17946, 14975, 11182, 267, 1818, 2295, 325, 3881, 4296, 267, 543, 14637, 11995, 9345, 269, 8414, 2542, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3528, 623, 7163, 18722, 267, 15503, 2987, 16644, 3971, 1923, 7711, 303, 7163, 318, 4517, 3205, 454, 3849, 738, 27140, 543, 19565, 11470, 8048, 9213, 779, 630, 19688, 476, 866, 264, 10324, 5758, 689, 715, 11520, 3883, 306, 4754, 593, 519, 1101, 10116, 540, 476, 1708, 272, 12034, 519, 4320, 540, 6455, 538, 1820, 2835, 538, 519, 2136, 2276, 3395, 476, 3066, 2600, 936, 519, 1482, 10116, 538, 476, 1708, 271, 269, 2334, 779, 11347, 540, 476, 13078, 2929, 4559, 267, 936, 6455, 540, 476, 15647, 4559, 4421, 538, 1627, 272, 476, 1708, 271, 563, 22154, 7436, 519, 5207, 4320, 540, 1627, 272, 1820, 6455, 2094, 715, 11520, 3883, 306, 4754, 3459, 9477, 6455, 538, 476, 1220, 275, 2223, 2687, 547, 713, 6640, 779, 2923, 20261, 689, 715, 11520, 7734, 685, 26701, 523, 32511, 6756, 563, 3849, 738, 15923, 543, 11174, 5708, 267, 715, 11520, 779, 1239, 2982, 267, 941, 538, 519, 1291, 538, 519, 1101, 10116, 540, 713, 1032, 267, 1142, 540, 1346, 1079, 6688, 909, 476, 1626, 2929, 4559, 936, 741, 1101, 6709, 6621, 2773, 538, 476, 1708, 271, 563, 6624, 2798, 827, 9140, 3270, 538, 1820, 616, 29005, 538, 519, 2344, 2164, 4330, 1934, 563, 3849, 738, 27140, 7179, 454, 18250, 299, 6756, 779, 1867, 2982, 2937, 15923, 1820, 2835, 9513, 693, 513, 2557, 540, 476, 2190, 2600, 2362, 982, 538, 519, 3105, 1032, 779, 1101, 14415, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 938, 3992, 827, 5904, 256, 4653, 267, 649, 786, 2263, 1114, 2010, 540, 18376, 5904, 602, 1004, 946, 543, 1865, 1946, 2576, 1522, 3442, 835, 1826, 936, 1776, 269, 1284, 786, 849, 1451, 827, 930, 1271, 2934, 547, 2015, 950, 11449, 513, 2780, 780, 4131, 781, 4952, 602, 596, 1616, 547, 4444, 513, 1007, 2780, 585, 707, 1920, 269, 1411, 979, 547, 519, 4558, 543, 1294, 1079, 1292, 2010, 540, 18376, 5904, 281, 782, 2987, 14633, 543, 13486, 269, 1323, 782, 2987, 14633, 2780, 814, 3388, 3710, 883, 835, 31933, 4062, 267, 1519, 519, 6895, 267, 16267, 267, 3965, 267, 543, 4859, 269, 589, 13486, 2780, 267, 593, 519, 824, 1688, 267, 814, 513, 5094, 4216, 1572, 513, 834, 339, 1077, 257, 602, 3568, 1034, 540, 519, 3334, 267, 543, 1287, 596, 1921, 621, 547, 513, 5094, 6895, 780, 10376, 1826, 814, 922, 5383, 269, 2353, 2987, 14633, 5904, 4688, 2230, 2094, 3388, 568, 7471, 883, 835, 3926, 269, 1358, 666, 849, 1413, 1360, 2413, 543, 31042, 269, 18975, 5904, 267, 2705, 267, 1419, 2709, 811, 1379, 543, 8112, 269, 5221, 789, 723, 513, 5094, 13486, 267, 596, 666, 3362, 23396, 856, 610, 1039, 1007, 2694, 607, 2029, 8441, 610, 707, 2115, 1689, 780, 3086, 1577, 781, 4685, 4514, 883, 891, 2035, 676, 3168, 693, 1079, 1808, 3631, 5018, 538, 519, 4367, 281, 519, 1775, 21547, 543, 519, 5839, 1160, 269, 5637, 616, 1500, 676, 11197, 267, 855, 789, 4196, 1114, 5301, 780, 763, 1775, 21547, 568, 606, 1383, 540, 606, 782, 2987, 14633, 2780, 269, 1306, 3254, 538, 519, 3239, 2630, 267, 519, 5496, 267, 16267, 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 ]
[ 267, 834, 7538, 27363, 1038, 942, 4732, 2748, 263, 272, 994, 1038, 530, 4135, 269, 1495, 334, 4590, 1038, 530, 4135, 22182, 2891, 273, 29389, 267, 6936, 267, 834, 22487, 2580, 13944, 21591, 2018, 9497, 19723, 323, 3570, 2580, 476, 1240, 267, 834, 7538, 27363, 1038, 942, 4732, 2748, 263, 272, 994, 1038, 530, 4135, 269, 1495, 334, 4590, 1038, 530, 4135, 22182, 2891, 272, 29389, 267, 6936, 267, 834, 22487, 2580, 13944, 21591, 2018, 9497, 19723, 323, 3570, 2580, 476, 1240, 267, 834, 7538, 27363, 1038, 942, 4732, 2748, 263, 272, 994, 1038, 530, 4135, 269, 1495, 334, 4590, 1038, 530, 4135, 22182, 2891, 7883, 26008, 2580, 6936, 267, 834, 22487, 2580, 13944, 21591, 2018, 9497, 19723, 323, 3570, 2580, 476, 1240, 267, 834, 7538, 27363, 1038, 942, 4732, 2748, 263, 272, 994, 1038, 530, 4135, 269, 1495, 334, 4590, 1363, 692, 10310, 7462, 454, 258, 681, 5217, 1599, 454, 10310, 2971, 692, 1038, 1247, 1286, 318, 821, 11859, 14585, 3890, 2999, 476, 7785, 281, 27030, 2018, 1286, 517, 518, 663, 815, 4351, 27110, 263, 272, 267, 476, 1015, 994, 2018, 7047, 342, 528, 663, 815, 4351, 27110, 263, 272, 267, 476, 1015, 994, 2018, 1286, 318, 821, 8807, 323, 6262, 16336, 518, 663, 994, 2018, 1286, 4671, 6851, 8807, 323, 6262, 691, 342, 528, 663, 994, 27030, 2018, 952, 1286, 318, 821, 11859, 14585, 3890, 13843, 476, 7785, 281, 1948, 8364, 454, 3546, 530, 4135, 815, 14854, 11053, 31103, 4590, 3546, 530, 4135, 318, 2675, 815, 14854, 2529, 10547, 4590, 3546, 530, 4135, 318, 2675, 6745, 571, 1356, 263, 273, 994, 3546, 530, 4135, 4732, 32497, 263, 280, 994, 3546, 530, 4135, 9421, 4590, 3546, 530, 4135, 4877, 523, 1575, 4590, 3546, 530, 4135, 269, 10233, 2891, 19669, 5602, 3546, 530, 4135, 3052, 9369, 263, 271, 267, 910, 22550, 994, 3546, 530, 4135, 4877, 754, 1144, 4590, 3546, 530, 4135, 22182, 2891, 763, 1286, 4465, 256, 5213, 1405, 5855, 1498, 267, 649, 2811, 782, 23602, 256, 20350, 4449, 16875, 6936, 267, 834, 22487, 2580, 13944, 21591, 7386, 9497, 19723, 323, 3570, 2580, 476, 1240, 267, 834, 7538, 27363, 4449, 454, 2018, 952, 1286, 4671, 6851, 11859, 14585, 3890, 13843, 476, 7785, 281, 1948, 24650, 454, 3546, 530, 4135, 815, 14854, 11053, 31103, 4590, 3546, 530, 4135, 318, 2675, 815, 14854, 2529, 10547, 4590, 3546, 530, 4135, 318, 2675, 6745, 571, 1356, 263, 273, 994, 3546, 530, 4135, 4732, 32497, 263, 280, 994, 3546, 530, 4135, 9421, 4590, 3546, 530, 4135, 4877, 523, 1575, 4590, 3546, 530, 4135, 269, 10233, 2891, 19669, 5602, 3546, 530, 4135, 3052, 9369, 263, 271, 267, 910, 22550, 994, 3546, 530, 4135, 4877, 754, 1144, 4590, 3546, 530, 4135, 22182, 2891, 763, 1668, 4465, 256, 5213, 1405, 5855, 1498, 267, 649, 2811, 782, 23602, 1701, 2676, 4449, 16875, 6936, 267, 834, 22487, 2580, 13944, 21591, 7386, 9497, 19723, 323, 3570, 2580, 476, 1240, 267, 834, 7538, 27363, 4449, 454, 10852, 10797, 258, 14188, 596, 547, 31155, 531, 932, 18588, 267, 6754, 1230, 333, 8432, 543, 715, 565, 534, 21662, 585, 4543, 803, 609, 454, 258, 930, 8193, 2152, 269, 0, 5814, 2979, 454, 5814, 11885, 607, 5286, 454, 5814, 21267, 4877, 2643, 629, 607, 12301, 692, 341, 815, 10581, 9272, 2891, 22873, 658, 6991, 630, 332, 4882, 2567, 27328, 2745, 2891, 763, 3355, 6991, 814, 1044, 1305, 547, 14307, 642, 267, 834, 544, 4882, 5602, 2745, 2891, 15419, 9064, 815, 10581, 9272, 2891, 22873, 658, 5086, 630, 19592, 4181, 2567, 27328, 9064, 815, 5180, 9230, 9064, 31618, 4118, 32564, 31618, 271, 269, 22650, 27898, 27898, 4649, 1070, 476, 274, 994, 2745, 2891, 763, 3355, 5086, 568, 14307, 23940, 267, 834, 32494, 8442, 3097, 2745, 2891, 15419, 327, 815, 10581, 9272, 2891, 22873, 658, 4463, 630, 332, 2567, 27328, 2745, 2891, 763, 3355, 4463, 814, 1044, 1305, 547, 14307, 554, 267, 834, 544, 5602, 2745, 2891, 15419, 1111, 815, 630, 341, 265, 12639, 4732, 514, 263, 9064, 11924, 12639, 28460, 18828, 4732, 13645, 17635, 265, 12639, 4732, 514, 263, 9064, 4297, 266, 273, 269, 271, 265, 280, 269, 279, 2608, 327, 4297, 14370, 280, 269, 279, 994, 339, 815, 5286, 30784, 1052, 263, 271, 267, 1111, 2020, 3698, 1535, 6025, 2187, 825, 2132, 630, 339, 265, 341, 265, 12639, 269, 6523, 263, 9064, 11723, 3698, 586, 6025, 2187, 825, 2132, 630, 327, 11924, 9230, 263, 339, 4297, 16732, 341, 12684, 12639, 4732, 514, 263, 9064, 4297, 268, 9230, 269, 276, 31618, 280, 269, 279, 31618, 339, 1262, 273, 11723, 10823, 19502, 3287, 6025, 1070, 344, 6025, 4917, 10823, 26942, 4590, 10823, 20481, 4590, 0, 5228, 536, 338, 275, 1104, 27202, 306, 19281, 5897, 5976, 1930, 2891, 8161, 11258, 8442, 607, 16814, 18316, 6769, 825, 17339, 815, 27202, 306, 19281, 263, 6255, 6447, 18316, 267, 2934, 6889, 6255, 6447, 4877, 32242, 14744, 5897, 258, 1205, 782, 16814, 1543, 1477, 258, 1820, 4433, 19281, 269, 2181, 1777, 1518, 3890, 10142, 258, 1326, 1871, 11090, 630, 27583, 1871, 3418, 258, 1820, 4433, 19281, 26644, 269, 11415, 10142, 258, 1205, 2385, 781, 11090, 1477, 258, 1820, 4433, 19281, 26644, 4877, 1861, 20508, 10142, 258, 1205, 1362, 2012, 540, 11090, 3693, 899, 533, 21506, 258, 1820, 4433, 19281, 4877, 14277, 5035, 19312, 10142, 258, 1205, 782, 2609, 609, 11090, 2012, 1477, 258, 9433, 815, 17339, 26098, 318, 718, 2891, 335, 14744, 258, 1820, 263, 1706, 4588, 338, 10142, 258, 1265, 11090, 3693, 609, 7329, 1477, 258, 1820, 4433, 19281, 26098, 263, 573, 6889, 15062, 273, 8442, 10142, 258, 1326, 11090, 1871, 609, 7329, 1477, 258, 1820, 4433, 19281, 26098, 263, 573, 6889, 15062, 273, 20257, 11415, 10142, 258, 25935, 782, 1257, 689, 513, 2985, 1477, 258, 1820, 4433, 19281, 10947, 26748, 3890, 10142, 258, 1205, 1140, 337, 2125, 540, 513, 11090, 3693, 1477, 258, 1820, 4433, 19281, 4877, 269, 3430, 3464, 264, 1948, 1592, 782, 1140, 337, 2125, 540, 335, 3693, 5897, 258, 12575, 2073, 1039, 2073, 4894, 513, 11090, 781, 1140, 337, 2125, 5897, 258, 12575, 1477, 258, 17339, 4877, 14277, 573, 19312, 815, 834, 2908, 16182, 29177, 258, 1820, 4433, 19281, 4877, 10142, 258, 4894, 21506, 258, 1642, 17339, 4877, 14277, 573, 257, 15947, 258, 1820, 4433, 19281, 4877, 10142, 258, 12575, 513, 5569, 538, 1747, 267, 855, 596, 666, 5372, 835, 5569, 609, 1776, 2073, 1210, 5372, 318, 5976, 31476, 258, 17339, 4877, 269, 11415, 18622, 2897, 318, 5976, 2891, 3128, 320, 24634, 334, 8206, 10590, 3418, 258, 1820, 4433, 19281, 4877, 264, 0, 18851, 1477, 24309, 676, 281, 31670, 24703, 19759, 2993, 1477, 2171, 2125, 924, 2433, 4179, 2517, 332, 22389, 3598, 11789, 10628, 2593, 5897, 296, 6368, 1500, 713, 1982, 2241, 543, 28505, 1477, 28775, 2685, 267, 713, 1982, 786, 948, 930, 14987, 899, 803, 547, 1174, 1732, 1843, 7020, 23228, 2252, 596, 1616, 547, 23799, 25572, 621, 267, 1175, 1832, 519, 2278, 781, 2012, 269, 5897, 1103, 522, 1457, 547, 14892, 713, 1982, 267, 596, 991, 547, 3888, 32150, 23044, 476, 273, 269, 271, 543, 1930, 29764, 476, 275, 11859, 5897, 2690, 811, 3877, 827, 875, 713, 1982, 1568, 269, 594, 6045, 1134, 827, 621, 267, 1175, 4945, 519, 3095, 2630, 6769, 10059, 2517, 332, 22389, 3598, 11789, 10628, 2593, 270, 1492, 1532, 5476, 2996, 28621, 728, 3562, 21553, 921, 13586, 3917, 23383, 8686, 274, 2987, 2389, 16428, 6503, 268, 273, 268, 271, 12268, 268, 272, 270, 5897, 290, 13072, 547, 6769, 288, 14623, 9655, 22186, 22202, 945, 3838, 1010, 1390, 960, 1210, 7510, 339, 25403, 267, 2731, 25370, 659, 7007, 621, 23228, 10059, 2517, 24108, 4877, 3639, 10628, 2593, 270, 6011, 3562, 21553, 921, 618, 8584, 3917, 23383, 268, 15953, 1673, 564, 10725, 2987, 1790, 12682, 25403, 270, 1477, 18851, 24653, 5814, 21723, 6503, 607, 23686, 5897, 5228, 2588, 2812, 1104, 4452, 318, 5035, 5332, 1868, 267, 3977, 318, 7901, 525, 267, 2721, 318, 16059, 338, 267, 759, 1125, 318, 13548, 1477, 5814, 20956, 273, 1477, 5814, 942, 5897, 5228, 586, 565, 990, 274, 1104, 962, 5357, 302, 341, 274, 15187, 5897, 258, 2252, 596, 1810, 1405, 723, 2614, 29453, 8800, 3926, 2139, 538, 707, 3684, 267, 9296, 618, 519, 1739, 1614, 3515, 6769, 874, 9713, 318, 22563, 1182, 815, 23686, 26769, 14808, 20216, 704, 14939, 269, 4289, 318, 874, 9713, 318, 22563, 1182, 3488, 25897, 308, 20298, 16386, 7003, 263, 874, 9713, 318, 22563, 1182, 264, 3436, 476, 271, 267, 834, 8253, 2614, 29453, 8800, 3457, 2139, 29177, 339, 325, 26769, 14808, 20216, 704, 14939, 15630, 8548, 25514, 14682, 9512, 263, 874, 9713, 318, 22563, 1182, 314, 271, 3910, 6936, 3418, 5897, 16347, 15481, 815, 630, 275, 1626, 267, 476, 275, 1626, 267, 274, 3418, 11133, 318, 5035, 525, 815, 476, 3199, 1477, 5035, 12173, 815, 29717, 270, 11907, 11305, 27494, 8542, 1868, 262, 1477, 10946, 318, 16059, 15481, 815, 476, 1911, 1477, 10946, 318, 16059, 15481, 30648, 318, 5035, 284, 476, 736, 1477, 328, 537, 318, 628, 11611, 815, 476, 271, 269, 276, 1477, 20813, 2064, 318, 628, 11611, 815, 476, 271, 269, 276, 24653, 22396, 326, 12803, 815, 1412, 22396, 326, 30819, 565, 990, 274, 6983, 325, 326, 262, 1477, 7076, 12803, 815, 1412, 30135, 30819, 565, 990, 274, 318, 30135, 6745, 325, 262, 5897, 3698, 1292, 263, 2567, 5897, 825, 2203, 815, 962, 5357, 302, 341, 274, 15187, 6262, 325, 326, 12803, 267, 16347, 15481, 267, 11133, 318, 5035, 525, 10142, 825, 2203, 269, 2903, 318, 30135, 263, 7076, 12803, 10142, 825, 1362, 5332, 1868, 815, 4452, 318, 5035, 5332, 1868, 263, 5035, 12173, 3418, 24653, 825, 3094, 12173, 815, 1412, 312, 565, 990, 274, 7020, 262, 1477, 825, 20956, 273, 8542, 3139, 20360, 578, 263, 7773, 12173, 10142, 825, 1948, 14588, 322, 1518, 519, 642, 573, 4141, 3403, 23228, 825, 1948, 476, 271, 1797, 3403, 689, 4342, 476, 271, 23228, 825, 1948, 1280, 642, 573, 1470, 267, 1175, 1689, 519, 476, 271, 547, 3381, 2619, 1477, 825, 1698, 815, 20956, 273, 17679, 8721, 290, 2194, 675, 263, 271, 3418, 825, 7406, 15481, 815, 630, 5115, 10947, 6262, 341, 273, 5861, 4338, 318, 24165, 303, 318, 15709, 28719, 318, 310, 2839, 8025, 1070, 1477, 4449, 476, 1698, 10947, 6262, 341, 273, 5861, 4338, 318, 24165, 303, 318, 15709, 28719, 318, 4047, 20846, 264, 10142, 825, 2119, 6769, 1038, 1247, 6936, 6769, 2018, 1376, 815, 942, 28333, 14052, 2018, 1427, 267, 7406, 815, 1698, 18667, 14052, 2018, 952, 711, 1427, 6769, 3546, 2736, 5897, 2018, 759, 1242, 6958, 9347, 815, 23686, 269, 10339, 663, 5091, 15501, 6600, 9347, 267, 476, 271, 3418, 2018, 759, 1242, 6958, 9347, 815, 759, 1125, 318, 13548, 263, 637, 1242, 6958, 9347, 267, 630, 16347, 15481, 314, 271, 3910, 16347, 15481, 314, 272, 8079, 10142, 2018, 2392, 815, 2203, 4877, 9438, 263, 637, 1242, 6958, 9347, 10142, 2018, 10833, 267, 8464, 267, 5049, 267, 15358, 815, 3977, 318, 7901, 525, 263, 1422, 1477, 3546, 2392, 267, 2203, 15481, 267, 1477, 3546, 3193, 318, 16059, 15481, 284, 10946, 318, 16059, 15481, 267, 1477, 3546, 3193, 318, 16059, 15481, 30648, 318, 5035, 284, 10946, 318, 16059, 15481, 30648, 318, 5035, 267, 1477, 3546, 1775, 537, 318, 628, 11611, 284, 328, 537, 318, 628, 11611, 267, 1477, 3546, 6015, 318, 628, 11611, 284, 20813, 2064, 318, 628, 11611, 10142, 2018, 708, 326, 815, 2721, 318, 16059, 338, 6600, 9347, 267, 10833, 267, 8464, 267, 5049, 267, 15358, 267, 1362, 5332, 1868, 3418, 2018, 20956, 273, 269, 574, 19651, 263, 7773, 12173, 267, 708, 326, 10142, 2018, 3247, 815, 942, 28333, 31476, 2018, 7643, 815, 3247, 910, 1376, 1477, 2018, 1948, 1820, 2891, 11742, 3144, 2433, 2715, 271, 348, 7643, 2668, 8971, 263, 572, 6948, 264, 10142, 2018, 1948, 12433, 14604, 829, 2034, 1477, 2018, 535, 1186, 815, 476, 272, 1315, 7643, 1477, 2018, 1820, 2891, 15307, 13846, 14604, 829, 2034, 2433, 2715, 271, 348, 2668, 8971, 6600, 1186, 264, 10142, 2018, 1883, 815, 20956, 273, 9884, 7159, 7659, 263, 272, 264, 1299, 476, 271, 343, 13697, 5897, 2018, 952, 1883, 2652, 3921, 3488, 336, 262, 8029, 3546, 2736, 5897, 825, 6368, 6769, 1038, 20956, 273, 6155, 652, 5797, 5472, 20360, 3298, 14052, 1038, 1698, 18622, 3161, 14052, 1038, 1820, 3488, 19547, 30708, 723, 1044, 5340, 6707, 9538, 3418, 5897, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 825, 1292, 14052, 0, 12163, 1724, 269, 272, 28859, 351, 506, 420, 487, 366, 419, 358, 374, 25426, 368, 420, 377, 361, 29004, 351, 454, 21928, 15411 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 610, 18535, 8813, 1055, 707, 6174, 4929, 3441, 610, 5945, 269, 3040, 23423, 519, 4390, 540, 1455, 2127, 971, 607, 18226, 11623, 267, 15165, 13063, 267, 543, 1964, 543, 4657, 11623, 547, 1450, 519, 5934, 9668, 540, 476, 273, 7397, 269, 25667, 25242, 519, 12918, 596, 3580, 1205, 3987, 269, 476, 16348, 275, 1215, 1058, 1426, 4600, 2061, 2168, 1426, 10898, 689, 3614, 1005, 5561, 286, 744, 27686, 543, 24846, 1944, 3937, 269, 8729, 476, 272, 269, 7605, 331, 2135, 729, 865, 2653, 547, 1205, 883, 269, 9796, 2651, 269, 9105, 602, 31269, 1832, 513, 2123, 3845, 540, 693, 2547, 476, 1015, 3952, 269, 1879, 596, 4444, 1426, 281, 8347, 547, 1832, 5732, 1164, 16151, 3536, 3544, 519, 2837, 8594, 7997, 543, 4444, 3905, 543, 4411, 3536, 693, 519, 1439, 540, 707, 10918, 7552, 269, 8493, 1676, 269, 14146, 619, 723, 513, 10279, 547, 1491, 7850, 3268, 547, 2149, 5520, 3106, 950, 1210, 960, 3937, 269, 3680, 1201, 872, 4506, 555, 31090, 3536, 269, 22444, 3582, 476, 276, 269, 18859, 5561, 547, 1832, 7622, 10130, 2476, 689, 519, 960, 1858, 269, 1635, 1053, 269, 634, 1655, 1259, 547, 2061, 5945, 610, 3959, 3441, 568, 547, 5781, 8524, 707, 9036, 547, 2708, 1761, 4220, 269, 476, 4817, 260, 540, 17236, 543, 9470, 1091, 4755, 538, 519, 1753, 269, 2353, 15205, 2127, 1058, 581, 1863, 689, 10898, 602, 666, 1711, 7653, 1141, 7063, 2049, 269, 8447, 10898, 1331, 2238, 610, 2067, 6878, 538, 513, 960, 1604, 602, 10460, 1072, 4220, 269, 18171, 1841, 689, 960, 3937, 543, 12227, 18171, 1841, 538, 5253, 269, 3680, 3002, 267, 607, 713, 666, 24395, 622, 11926, 269, 3680, 737, 600, 18885, 610, 536, 22259, 24515, 269, 654, 8960, 17309, 666, 1832, 1426, 2922, 3683, 19939, 1296, 3516, 267, 519, 2817, 27545, 9730, 593, 5843, 6798, 1670, 7600, 4997, 585, 16639, 11943, 602, 11953, 1688, 3346, 609, 1426, 8309, 7494, 547, 519, 6771, 540, 1426, 13871, 4576, 269, 5269, 2386, 596, 946, 873, 282, 3040, 789, 1058, 5721, 596, 538, 2922, 17666, 267, 543, 875, 547, 5544, 543, 2057, 4220, 282, 769, 4516, 936, 476, 5655, 267, 1822, 4600, 1205, 13676, 12422, 1813, 547, 2887, 13685, 269, 1403, 649, 1810, 1405, 1205, 519, 1318, 1344, 267, 938, 10894, 3157, 7985, 543, 938, 1072, 23229, 269, 6468, 1058, 723, 1100, 811, 982, 835, 4235, 829, 1554, 269, 25927, 908, 27496, 883, 3609, 547, 2061, 6689, 8377, 281, 519, 2013, 585, 5009, 2168, 2534, 538, 1153, 5468, 269, 6969, 596, 2212, 1055, 13383, 267, 596, 3580, 991, 547, 2638, 1018, 795, 11274, 616, 2838, 269, 7316, 596, 4558, 1426, 4249, 513, 2101, 1909, 538, 7303, 3444, 9762, 8727, 269, 2659, 16108, 814, 513, 1412, 323, 14280, 540, 1416, 262, 547, 1118, 2386, 267, 607, 2484, 607, 2009, 267, 707, 1072, 267, 3106, 543, 10304, 1247, 596, 2811, 693, 960, 269, 6153, 6075, 3028, 267, 9488, 8009, 7634, 267, 543, 12319, 543, 14775, 14013, 948, 547, 2327, 1072, 267, 3106, 543, 6075, 543, 5234, 4937, 11906, 8881, 13832, 269, 24225, 338, 1299, 13445, 29941, 269, 3738, 5253, 8881, 269, 8525, 476, 275, 5253, 8881, 17785, 281, 4107, 1426, 13871, 10108, 616, 3361, 676, 17900, 269, 589, 1434, 2344, 1592, 568, 2838, 950, 10918, 547, 2057, 3653, 540, 2200, 543, 20949, 9140, 269, 524, 269, 8081, 513, 9036, 1072, 543, 3106, 2359, 1062, 7335, 5384, 281, 476, 274, 3764, 2622, 5253, 8881, 4303, 630, 310, 12396, 291, 264, 9976, 593, 476, 278, 4873, 476, 1708, 272, 6663, 547, 2721, 3007, 543, 8300, 2962, 547, 948, 2061, 267, 3713, 543, 4383, 1426, 13871, 4220, 267, 7700, 547, 1426, 3354, 267, 1480, 1072, 267, 2804, 13884, 267, 6683, 267, 2344, 1569, 267, 9235, 543, 4264, 1646, 269, 20410, 781, 1426, 3106, 13398, 267, 607, 1134, 607, 519, 5253, 11621, 10837, 781, 630, 293, 6347, 264, 1870, 5583, 269, 6969, 2123, 8825, 3937, 949, 581, 1031, 267, 519, 16108, 1590, 1101, 2119, 547, 4894, 610, 2569, 1022, 8594, 547, 519, 1072, 543, 3106, 540, 1010, 4600, 269, 8865, 5530, 1948, 272, 1547, 8409, 4587, 982, 476, 4792, 1296, 20039, 585, 476, 3607, 829, 1298, 540, 782, 7972, 269, 634, 3804, 540, 1426, 3106, 568, 547, 2061, 519, 10898, 602, 2014, 1426, 13871, 4576, 610, 5945, 269, 634, 1655, 1259, 547, 2061, 6923, 9648, 2168, 10898, 689, 3478, 883, 1426, 568, 547, 4894, 519, 2168, 9651, 543, 1167, 731, 621, 607, 4166, 607, 2009, 269, 901, 1184, 2882, 513, 9488, 14791, 540, 519, 960, 1604, 267, 3937, 267, 543, 1949, 547, 3313, 1761, 10898, 543, 2936, 3106, 1949, 547, 2061, 5945, 269, 32279, 11547, 3946, 543, 7252, 20109, 676, 1426, 269, 5253, 1688, 6840, 1107, 2866, 15526, 2324, 538, 513, 1426, 22402, 616, 9415, 547, 581, 8036, 538, 2922, 1426, 7829, 269, 5253, 21932, 1058, 1491, 7435, 548, 1426, 9108, 3040, 25169, 3946, 3040, 2422, 2973, 3937, 267, 27022, 543, 11149, 3040, 3680, 15700, 1426, 1932, 1454, 1107, 946, 27022, 3040, 5901, 6151, 16469, 5094, 689, 11273, 610, 4712, 3562, 3887, 520, 3536, 3040, 5901, 3536, 4988, 3040, 23203, 606, 3284, 1258, 3040, 5213, 1406, 5965, 1426, 950, 7210, 3040, 630, 13126, 281, 5253, 8881, 25198, 264, 27986, 1426, 568, 1271, 898, 568, 513, 3656, 10421, 602, 513, 1426, 1870, 267, 950, 8391, 267, 13936, 267, 4393, 543, 18071, 1426, 267, 3217, 782, 1316, 27809, 3268, 547, 2149, 1426, 689, 519, 10171, 540, 12526, 269, 27706, 2657, 543, 8881, 9751, 269, 1411, 3580, 581, 5386, 585, 1034, 540, 2342, 543, 3345, 3013, 267, 855, 585, 5607, 267, 4000, 543, 3162, 543, 6239, 4107, 18738, 568, 519, 10700, 7895, 580, 872, 540, 1514, 3377, 543, 10311, 585, 10372, 543, 4808, 585, 7393, 707, 1272, 689, 1169, 25246, 269, 3367, 2630, 585, 1344, 827, 18002, 602, 666, 2049, 1141, 596, 2661, 267, 543, 1451, 519, 3017, 1063, 513, 834, 31296, 257, 543, 513, 834, 8705, 940, 2668, 15168, 916, 666, 3262, 2429, 519, 10051, 543, 1205, 5196, 5969, 12545, 267, 31009, 267, 4831, 25568, 267, 29008, 525, 267, 543, 28734, 269, 898, 849, 14014, 519, 1072, 543, 3106, 540, 782, 824, 1004, 945, 1522, 581, 4299, 676, 519, 960, 269, 1411, 666, 723, 513, 2898, 4876, 593, 621, 1317, 621, 779, 971, 513, 3905, 3760, 543, 519, 2319, 972, 568, 2141, 3246, 1390, 2200, 585, 9367, 269, 9232, 20070, 3753, 538, 519, 1753, 2861, 1604, 666, 2049, 547, 1312, 519, 1416, 1489, 11832, 543, 1346, 8391, 1416, 607, 513, 1267, 540, 10898, 1459, 538, 519, 1753, 2861, 1604, 269, 2073, 7482, 547, 581, 2111, 547, 3132, 543, 3761, 5370, 543, 2533, 547, 922, 5561, 269, 11644, 5781, 269, 1107, 7913, 4647, 269, 7698, 30047, 8881, 30332, 269, 1677, 9108, 5965, 1426, 267, 596, 1058, 1246, 891, 4388, 281, 1832, 6151, 3536, 543, 4712, 3562, 3887, 520, 3536, 5094, 547, 2057, 3444, 9762, 8727, 269, 589, 1426, 13871, 9651, 568, 513, 2168, 267, 3114, 267, 610, 6211, 1843, 538, 1426, 610, 4235, 602, 666, 2014, 5945, 610, 4576, 269, 9208, 476, 274, 269, 552, 269, 1809, 519, 2165, 968, 2908, 11832, 892, 3884, 1406, 607, 6654, 607, 621, 4667, 269, 634, 3461, 781, 2168, 1118, 5346, 729, 2808, 547, 581, 513, 1757, 894, 3815, 269, 9612, 6634, 540, 18044, 11568, 610, 1711, 707, 1378, 2228, 18044, 11568, 585, 5131, 269, 476, 272, 9523, 901, 282, 1677, 1867, 513, 16143, 1426, 13871, 610, 1216, 13871, 4576, 1289, 476, 272, 268, 279, 6507, 6363, 302, 7495, 268, 21135, 269, 6969, 596, 1376, 8600, 1426, 267, 621, 779, 1271, 960, 339, 3591, 267, 10051, 27022, 543, 14299, 4771, 12545, 616, 2973, 269, 1280, 519, 1034, 1072, 2640, 267, 4079, 1058, 1118, 741, 3903, 540, 281, 2311, 2547, 476, 5611, 3764, 630, 273, 3108, 476, 1789, 3764, 264, 547, 476, 4968, 3764, 630, 276, 3108, 264, 513, 3018, 540, 9793, 27233, 2168, 2534, 269, 634, 1292, 3804, 540, 3106, 543, 1072, 3292, 568, 547, 2061, 9036, 7063, 267, 10108, 267, 543, 7972, 267, 607, 1134, 607, 519, 7092, 543, 2883, 27465, 891, 2621, 666, 2014, 585, 4600, 267, 741, 3885, 267, 543, 12820, 269, 968, 2691, 649, 1413, 693, 519, 1034, 7925, 1004, 634, 2817, 23681, 29853, 8881, 10029, 630, 26822, 4811, 288, 264, 729, 2813, 676, 519, 772, 269, 1107, 7300, 3898, 630, 14457, 270, 311, 268, 272, 288, 547, 581, 5730, 1040, 10576, 10898, 2443, 6056, 827, 519, 4483, 540, 5370, 270, 2472, 538, 519, 23999, 269, 5253, 666, 581, 27416, 952, 621, 568, 3765, 16932, 539, 610, 952, 972, 568, 513, 2168, 8764, 656, 267, 971, 607, 5068, 267, 610, 547, 2061, 519, 3262, 540, 1426, 13871, 13596, 267, 971, 607, 13687, 7578, 269, 31071, 5208, 4016, 547, 1022, 957, 610, 3463, 540, 2168, 5208, 267, 6057, 267, 18275, 267, 12932, 9179, 267, 610, 824, 17116, 26688, 2623, 602, 4386, 538, 519, 960, 4259, 269, 4595, 519, 476, 3422, 271, 338, 267, 1426, 3106, 4648, 723, 6444, 519, 2956, 540, 670, 3722, 9573, 3741, 585, 9013, 1981, 2188, 602, 2047, 3565, 547, 1426, 13871, 4576, 269, 476, 272, 5253, 3106, 4170, 4927, 3391, 3375, 6194, 593, 1761, 8801, 1072, 2360, 602, 949, 2049, 689, 519, 4616, 540, 519, 1426, 543, 519, 991, 547, 2697, 1981, 2359, 3681, 269, 15053, 689, 6464, 634, 5739, 1198, 593, 513, 11832, 779, 1072, 568, 689, 1463, 3346, 610, 4598, 547, 519, 3114, 267, 2356, 998, 32480, 267, 2960, 3346, 610, 28453, 269, 1403, 606, 9441, 568, 13676, 267, 4600, 262, 13180, 6142, 666, 948, 2628, 585, 2564, 9276, 267, 607, 1134, 607, 9864, 13848, 952, 942, 1055, 960, 568, 2877, 547, 9156, 269, 15188, 1426, 538, 5078, 267, 4988, 11149, 269, 9701, 333, 1406, 649, 798, 519, 1482, 286, 634, 3804, 540, 23908, 517, 15299, 267, 610, 17501, 519, 2816, 547, 519, 11832, 267, 568, 6604, 540, 960, 5829, 30273, 4713, 630, 310, 5960, 17762, 1040, 2311, 1100, 3063, 1942, 267, 1118, 1055, 268, 12860, 267, 29449, 267, 543, 28079, 11033, 950, 596, 991, 547, 267, 609, 519, 4781, 547, 1039, 513, 3532, 942, 9477, 5610, 585, 513, 5963, 15774, 2628, 2651, 1184, 269, 1107, 1677, 2327, 1426, 3106, 267, 519, 1739, 2489, 4808, 4927, 581, 4767, 281, 14329, 476, 276, 269, 4340, 547, 13163, 540, 8534, 10803, 630, 289, 11862, 264, 476, 1001, 279, 5945, 267, 10108, 267, 543, 3170, 1275, 1239, 267, 654, 5960, 17762, 20039, 585, 476, 4029, 2600, 11374, 891, 3106, 4388, 786, 948, 596, 2061, 7063, 267, 2057, 11991, 2042, 267, 543, 1118, 2386, 596, 1205, 519, 1034, 856, 540, 707, 942, 693, 519, 15547, 269, 1280, 811, 1344, 267, 1294, 589, 1426, 9651, 568, 513, 6211, 267, 3114, 610, 2168, 8665, 538, 513, 1426, 609, 519, 1761, 547, 2014, 8801, 1072, 2360, 630, 26467, 1410, 1325, 2939, 23581, 8189, 267, 476, 1960, 278, 282, 1323, 517, 269, 853, 4958, 4221, 568, 513, 4105, 851, 540, 513, 2635, 8516, 20786, 269, 3117, 28366, 543, 1426, 3106, 281, 589, 1426, 2872, 5133, 269, 634, 1271, 3283, 616, 2053, 267, 1648, 267, 2724, 267, 4859, 6703, 267, 1702, 543, 2344, 269, 15240, 3482, 5906, 6464, 267, 3937, 610, 960, 2409, 609, 10930, 543, 1447, 13818, 3283, 547, 5154, 514, 520, 9220, 9651, 15587, 269, 31071, 2657, 543, 8881, 24368, 267, 4972, 540, 10456, 543, 30374, 29731, 6176, 3391, 281, 595, 12522, 543, 13962, 2872, 670, 268, 20842, 731, 22384, 24920, 623, 301, 6200, 9834, 19405, 476, 274, 7831, 8242, 5130, 476, 1001, 275, 5046, 268, 866, 13864, 2640, 666, 948, 5520, 267, 17254, 4600, 267, 543, 1582, 15041, 23903, 1004, 4171, 6009, 723, 1044, 4299, 676, 519, 11452, 6855, 269, 634, 1870, 13055, 1590, 2832, 693, 16565, 891, 2200, 2687, 547, 741, 4170, 543, 946, 873, 7561, 269, 6258, 811, 827, 938, 14791, 2533, 543, 1184, 269, 634, 27706, 8881, 543, 2657, 11621, 729, 19775, 538, 476, 3192, 279, 538, 10220, 609, 519, 13338, 23626, 547, 16102, 519, 11832, 779, 1514, 543, 2804, 1134, 5630, 607, 1134, 607, 1010, 2168, 3106, 543, 1072, 269, 1403, 596, 1547, 9701, 333, 1406, 649, 798, 519, 1482, 286, 630, 323, 264, 8447, 543, 2883, 2200, 281, 7102, 1870, 3340, 2168, 2200, 899, 2371, 267, 6191, 267, 13646, 267, 3092, 269, 16473, 633, 5826, 10607, 519, 3106, 540, 3937, 543, 4061, 519, 3106, 540, 2754, 4600, 4611, 538, 7864, 593, 519, 2816, 7063, 543, 10913, 269, 3763, 513, 2792, 1544, 547, 1217, 5520, 267, 5561, 267, 543, 519, 1857, 540, 3527 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]