SmallDoge/decay_dataset_processed · Datasets at Hugging Face

input_ids sequencelengths 1 2.05k	attention_mask sequencelengths 1 2.05k
[ 616, 11231, 1472, 20158, 1330, 1399, 1841, 282, 5493, 2167, 1246, 513, 4806, 540, 1970, 5656, 11231, 1472, 897, 636, 2740, 1273, 3930, 267, 2870, 513, 19618, 267, 20583, 1106, 282, 30060, 3889, 946, 519, 5657, 639, 7146, 2389, 629, 2401, 334, 9043, 543, 1804, 6366, 5867, 563, 763, 9998, 1974, 540, 4070, 729, 519, 1034, 28191, 699, 267, 609, 2370, 23732, 267, 855, 2663, 3889, 910, 689, 1472, 513, 269, 634, 11265, 3310, 540, 1855, 582, 8811, 340, 659, 534, 666, 581, 2938, 2429, 6239, 3013, 538, 519, 25839, 1974, 543, 2663, 269, 634, 2804, 2956, 540, 519, 2749, 729, 16079, 539, 538, 922, 2686, 543, 3909, 3310, 267, 2938, 538, 519, 2647, 23425, 540, 519, 3171, 9312, 5395, 25871, 267, 23608, 609, 1855, 582, 8811, 340, 659, 534, 781, 2372, 28856, 531, 1723, 520, 331, 267, 607, 513, 3090, 540, 3909, 543, 2797, 6392, 2429, 12379, 334, 15330, 3821, 563, 763, 2596, 1106, 540, 519, 1855, 582, 8811, 340, 659, 534, 17633, 267, 8796, 1496, 5649, 2859, 4940, 15339, 3427, 607, 513, 18734, 269, 898, 814, 1044, 835, 540, 519, 6574, 543, 1034, 7772, 748, 2591, 540, 1250, 1699, 11265, 4876, 269, 594, 723, 849, 5249, 5892, 538, 4070, 2359, 267, 1995, 602, 786, 957, 607, 606, 3606, 5351, 538, 12003, 609, 519, 4052, 7569, 540, 1250, 6074, 3924, 563, 19013, 267, 1250, 1153, 31286, 798, 711, 2992, 1250, 1377, 540, 7029, 547, 519, 2361, 540, 6189, 267, 5103, 519, 1249, 602, 594, 723, 1044, 2324, 693, 11265, 10909, 585, 811, 982, 4557, 1296, 563, 5475, 5181, 476, 1556, 628, 267, 594, 729, 1577, 979, 689, 1250, 2816, 1813, 547, 519, 2883, 12503, 5116, 2390, 519, 6109, 1141, 594, 729, 2324, 269, 594, 729, 7142, 547, 2165, 3729, 1250, 18375, 267, 1317, 540, 2883, 4128, 269, 4746, 267, 1250, 4651, 729, 12955, 540, 25524, 2860, 543, 1250, 1445, 729, 593, 1250, 1920, 267, 711, 593, 1250, 1378, 2115, 543, 3318, 17050, 267, 543, 1250, 9344, 616, 19890, 14436, 540, 713, 1249, 563, 3719, 1631, 267, 1715, 3840, 568, 4867, 1141, 1034, 540, 1250, 8796, 1496, 5649, 2859, 4940, 15339, 5398, 631, 13952, 519, 2290, 2679, 540, 1880, 1719, 568, 1010, 23171, 4741, 585, 3703, 8551, 269, 3371, 267, 519, 20425, 25047, 13486, 538, 519, 1330, 1399, 731, 540, 519, 4741, 12857, 606, 25412, 4063, 6276, 267, 533, 269, 769, 4334, 267, 543, 8197, 2687, 547, 16679, 781, 4998, 267, 519, 1795, 3547, 616, 896, 26061, 543, 11603, 269, 634, 6173, 725, 540, 519, 1330, 1399, 731, 543, 26847, 15666, 547, 519, 6240, 540, 1353, 267, 3246, 513, 9602, 2230, 585, 1053, 547, 1445, 741, 4555, 543, 741, 1016, 706, 539, 6643, 563, 2026, 971, 519, 1330, 1399, 731, 6212, 519, 3483, 540, 519, 1964, 540, 519, 2679, 269, 769, 519, 9703, 267, 21765, 568, 22012, 547, 513, 2571, 27280, 998, 1236, 2643, 2074, 267, 1141, 607, 519, 18073, 543, 5958, 8470, 539, 6821, 607, 1134, 607, 12068, 2575, 2417, 6212, 519, 5790, 27808, 267, 2509, 513, 14719, 894, 543, 12560, 1374, 269, 15339, 540, 19732, 1465, 4208, 8211, 1023, 269, 634, 2367, 1185, 8120, 689, 519, 2112, 267, 4892, 941, 9140, 5321, 543, 8380, 782, 741, 19367, 538, 547, 2679, 513, 9566, 585, 519, 1920, 4904, 609, 782, 12204, 540, 13442, 635, 325, 2176, 563, 763, 4775, 1106, 10630, 891, 635, 325, 2176, 281, 2201, 519, 824, 1688, 267, 519, 521, 543, 521, 1129, 4705, 519, 19856, 656, 12798, 540, 1689, 282, 1247, 930, 1004, 14487, 621, 5097, 547, 519, 26813, 540, 3828, 580, 4445, 267, 519, 2960, 5500, 2706, 16347, 540, 519, 5736, 824, 4128, 616, 4143, 547, 4983, 607, 1134, 281, 9861, 6094, 4847, 873, 547, 20354, 5957, 9660, 899, 519, 9910, 1606, 330, 7398, 267, 799, 6148, 693, 602, 942, 11542, 585, 930, 4990, 540, 5191, 543, 1582, 22325, 563, 18455, 6094, 543, 17766, 2597, 949, 723, 2016, 930, 2021, 519, 2702, 547, 1745, 1732, 827, 2933, 269, 15339, 540, 11785, 1772, 513, 269, 20767, 622, 621, 568, 9090, 711, 269, 4706, 8832, 7969, 20096, 2511, 8591, 16678, 2609, 547, 519, 8378, 781, 6607, 1467, 269, 27076, 5783, 3112, 581, 15763, 950, 6313, 519, 1686, 543, 6189, 540, 11785, 269, 27076, 5939, 568, 1713, 1317, 621, 834, 10517, 637, 757, 513, 22576, 540, 519, 11785, 781, 2247, 689, 922, 8830, 11939, 2250, 267, 543, 11944, 540, 1977, 5876, 607, 513, 3196, 538, 6189, 257, 16481, 10667, 563, 763, 13039, 540, 11785, 616, 711, 2027, 547, 11785, 2103, 269, 634, 13039, 540, 8796, 1496, 5649, 2859, 4940, 634, 2278, 540, 713, 1957, 6799, 513, 2489, 7650, 540, 519, 1433, 543, 1287, 562, 541, 4900, 519, 1957, 781, 1445, 547, 1331, 721, 7219, 781, 3409, 602, 1863, 1004, 666, 1152, 1711, 1434, 6189, 269, 1284, 616, 7683, 9687, 538, 938, 6848, 6788, 543, 10343, 540, 2621, 563, 6624, 2053, 267, 649, 8275, 1310, 519, 1249, 602, 1945, 649, 1705, 610, 7873, 19861, 1185, 513, 2531, 3626, 1198, 593, 519, 1158, 269, 6270, 729, 519, 2013, 540, 6189, 267, 2687, 547, 2278, 3627, 721, 7219, 269, 769, 1010, 1433, 634, 18599, 700, 10102, 540, 15339, 721, 7219, 1163, 2432, 593, 1010, 3661, 602, 519, 1152, 5963, 1434, 6189, 568, 1500, 676, 1004, 945, 616, 1863, 721, 7219, 267, 901, 568, 513, 3020, 3948, 952, 621, 568, 3144, 538, 519, 2796, 540, 1374, 543, 711, 4890, 6388, 540, 602, 1374, 563, 6524, 649, 666, 8796, 1496, 5649, 2859, 4940, 9335, 538, 19090, 267, 11882, 267, 519, 1208, 29087, 3957, 16340, 9335, 3465, 2421, 614, 1014, 5783, 729, 3710, 538, 2073, 855, 814, 1185, 1896, 3606, 11265, 2609, 3773, 2094, 1287, 267, 1519, 7293, 543, 6198, 5624, 3564, 519, 1292, 3284, 572, 543, 562, 1511, 267, 8151, 689, 513, 1804, 5087, 2427, 18736, 1858, 547, 519, 2789, 24509, 525, 543, 7127, 1811, 563, 763, 16340, 9335, 3465, 2421, 614, 1014, 5783, 26328, 513, 5266, 1804, 11640, 267, 17364, 827, 2185, 14143, 540, 4683, 2244, 269, 2201, 519, 5045, 2427, 540, 519, 8265, 267, 519, 16340, 9335, 3465, 2421, 614, 1014, 5783, 11392, 606, 15792, 2179, 540, 7943, 2429, 519, 1554, 267, 799, 575, 548, 4461, 543, 16657, 338, 607, 621, 9356, 593, 922, 9206, 7723, 9096, 563, 4002, 922, 1298, 27812, 538, 2073, 519, 5939, 729, 18005, 3773, 547, 519, 2817, 19193, 540, 19866, 23089, 538, 19220, 540, 922, 3875, 2413, 23937, 267, 4396, 4328, 519, 5939, 538, 19090, 781, 4683, 5251, 563, 1103, 1249, 267, 519, 16340, 9335, 3465, 2421, 614, 1014, 5783, 8843, 519, 8265, 609, 2185, 824, 19506, 13039, 538, 19090, 267, 782, 3710, 1369, 8796, 1496, 5649, 2859, 4940, 15339, 540, 519, 1325, 30790, 538, 269, 2368, 723, 4330, 713, 1795, 1228, 607, 834, 320, 1397, 344, 543, 11141, 4062, 540, 570, 639, 4754, 6189, 10086, 609, 818, 3481, 9885, 11303, 676, 14969, 27536, 1286, 19133, 267, 6335, 532, 9587, 267, 543, 7387, 31795, 6244, 12137, 1127, 585, 2493, 4231, 257, 570, 18288, 269, 1717, 267, 594, 1265, 519, 1795, 1228, 3833, 1455, 543, 796, 15517, 532, 563, 290, 4040, 5455, 2060, 21624, 4828, 11762, 1280, 15339, 4841, 269, 15339, 568, 1419, 3989, 607, 1312, 519, 1184, 543, 519, 1587, 540, 10703, 1516, 513, 1544, 267, 4586, 24246, 2688, 15339, 1557, 5153, 8386, 28157, 19019, 593, 1215, 547, 3503, 606, 4828, 827, 15339, 769, 513, 3376, 2631, 267, 519, 2165, 968, 19425, 3538, 675, 892, 568, 4857, 607, 513, 4586, 291, 520, 15390, 540, 17676, 6189, 3594, 910, 1284, 723, 5215, 540, 1863, 3594, 2066, 513, 2647, 2039, 540, 1641, 2127, 269, 12726, 6189, 3594, 256, 4119, 476, 2767, 267, 5788, 15339, 19837, 10488, 11762, 269, 589, 1390, 5542, 540, 1863, 6189, 12031, 3584, 543, 2093, 547, 948, 596, 2328, 519, 3501, 12031, 563, 305, 25497, 334, 15339, 10749, 269, 634, 3943, 887, 322, 27494, 2511, 568, 835, 540, 519, 13074, 12081, 532, 11647, 543, 16560, 6575, 6272, 269, 4634, 1498, 621, 729, 2442, 538, 824, 2477, 267, 971, 607, 7977, 267, 5125, 543, 22778, 807, 267, 1142, 3773, 741, 1378, 18953, 269, 20096, 6189, 543, 6535, 6951, 4302, 6189, 20096, 13910, 568, 519, 1034, 4241, 543, 12357, 11265, 5736, 519, 1158, 814, 2938, 269, 1452, 1804, 3889, 540, 519, 476, 1556, 628, 998, 519, 476, 1626, 628, 5553, 267, 602, 616, 2808, 547, 581, 540, 20096, 13910, 267, 616, 3274, 32219, 269, 0, 274, 281, 4119, 7757, 18712, 281, 31514, 634, 2622, 15907, 2974, 454, 4407, 4641, 568, 2484, 21950, 982, 519, 3059, 1995, 267, 621, 814, 1713, 7687, 267, 607, 519, 4031, 540, 519, 2168, 1158, 616, 1476, 1456, 543, 796, 344, 1752, 532, 269, 634, 2278, 6257, 519, 1483, 8996, 1995, 540, 8384, 513, 17075, 29658, 538, 1268, 912, 3528, 13766, 519, 21951, 666, 1152, 581, 538, 835, 1747, 693, 513, 942, 267, 799, 2306, 1864, 8572, 547, 7747, 3388, 602, 568, 2469, 593, 269, 1261, 666, 3442, 547, 3251, 693, 835, 8559, 543, 4585, 1142, 540, 519, 5716, 693, 602, 4087, 267, 610, 3442, 547, 1246, 513, 6345, 689, 1747, 547, 1747, 269, 769, 2901, 2013, 267, 646, 1590, 2611, 3297, 519, 3046, 878, 3547, 267, 2484, 2476, 689, 519, 2962, 267, 543, 3343, 513, 2990, 1369, 519, 555, 3994, 338, 540, 824, 24319, 689, 799, 646, 666, 1294, 519, 2962, 269, 634, 2661, 20626, 4413, 525, 513, 2603, 281, 519, 4031, 540, 2168, 4641, 1118, 621, 7543, 547, 4585, 606, 3003, 17075, 29658, 267, 1169, 8929, 676, 1169, 6345, 563, 263, 2894, 281, 634, 2278, 1236, 2354, 936, 513, 1647, 1900, 594, 1589, 568, 4502, 6236, 281, 8613, 13739, 269, 634, 8254, 3294, 3091, 519, 21951, 513, 1732, 2070, 540, 519, 2962, 676, 621, 2702, 547, 24680, 538, 547, 1205, 513, 6251, 5133, 269, 16340, 322, 7539, 946, 3875, 12514, 267, 3533, 15175, 547, 8726, 4087, 3091, 519, 1034, 2962, 269, 19410, 2209, 666, 2709, 3606, 1344, 602, 3986, 519, 7071, 610, 1620, 540, 519, 21951, 269, 16680, 519, 13739, 593, 667, 23623, 543, 519, 21951, 666, 18178, 827, 538, 942, 269, 1809, 621, 568, 1869, 3908, 547, 519, 11049, 5079, 540, 519, 3376, 322, 2120, 267, 945, 16976, 1018, 1344, 519, 21951, 786, 1294, 543, 3091, 1152, 513, 9864, 1995, 269, 898, 781, 1732, 267, 855, 1869, 711, 607, 1434, 607, 1018, 519, 2278, 1985, 6257, 8094, 763, 2278, 6257, 513, 2029, 1572, 834, 293, 534, 309, 1707, 257, 602, 8424, 513, 1507, 13156, 5496, 609, 606, 1274, 12328, 267, 799, 13462, 547, 513, 1062, 602, 2285, 519, 3593, 519, 2702, 547, 2070, 689, 1022, 540, 513, 1297, 540, 12514, 602, 616, 5116, 782, 936, 519, 1576, 267, 2059, 609, 519, 6205, 4580, 543, 6345, 8464, 269, 3571, 6609, 540, 519, 1995, 568, 1210, 519, 3926, 1247, 11504, 519, 2680, 547, 581, 2111, 547, 1832, 909, 609, 1018, 568, 8345, 538, 824, 4025, 646, 3112, 581, 267, 610, 689, 7285, 646, 3112, 7747, 269, 834, 2690, 519, 1101, 942, 693, 1022, 29658, 267, 594, 1705, 711, 1745, 899, 594, 729, 7508, 856, 11992, 593, 519, 1576, 4799, 263, 2894, 281, 634, 2278, 6257, 1210, 519, 3926, 1247, 11504, 267, 2864, 982, 3079, 540, 11504, 267, 519, 2661, 2680, 269, 1809, 621, 1223, 581, 1031, 676, 513, 1268, 538, 1776, 4087, 269, 769, 519, 8545, 3236, 267, 621, 1131, 5693, 581, 513, 12990, 585, 4641, 2864, 982, 606, 11160, 7695, 547, 621, 269, 4634, 538, 519, 2278, 781, 1383, 267, 621, 4667, 519, 3593, 1131, 581, 15175, 1063, 519, 3926, 543, 1010, 10450, 267, 711, 2731, 11160, 13586, 1010, 1995, 607, 2655, 23082, 585, 621, 267, 607, 646, 3124, 919, 3007, 1063, 519, 3059, 543, 519, 1483, 269, 2755, 646, 29167, 519, 3014, 267, 646, 568, 2348, 513, 1483, 1995, 267, 1287, 646, 17176, 3007, 547, 519, 3926, 543, 814, 513, 3059, 1995, 269, 1358, 616, 1869, 3982, 2833, 267, 865, 594, 6415, 711, 2386, 952, 713, 568, 513, 1434, 1383, 540, 21284, 4641, 8094, 26670, 3496, 519, 2622, 1472, 2974, 454, 763, 2278, 5267, 602, 834, 13774, 7757, 4641, 257, 21018, 835, 540, 519, 7516, 540, 2230, 267, 942, 267, 543, 2339, 269, 1280, 519, 27684, 309, 1707, 3926, 267, 646, 5267, 602, 621, 2636, 519, 1268, 547, 8831, 883, 1100, 2173, 2660, 267, 29400, 519, 7687, 540, 1010, 1480, 1560, 547, 7747, 519, 3014, 607, 606, 9631, 23036, 2615, 269, 630, 2894, 281, 855, 621, 849, 2636, 1864, 547, 7753, 519, 32604, 540, 513, 2168, 2230, 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 ]
[ 5907, 12043, 267, 585, 3140, 1382, 540, 7005, 1876, 563, 1103, 7005, 3656, 1686, 267, 519, 10470, 540, 1876, 1223, 1931, 519, 8569, 540, 14796, 543, 4259, 8521, 2596, 1344, 29395, 540, 3656, 2474, 5665, 563, 5825, 1686, 543, 3140, 6054, 519, 1686, 540, 519, 8087, 2829, 568, 5318, 543, 1950, 17535, 1876, 11268, 267, 7286, 2825, 4027, 269, 5871, 1876, 267, 1455, 1876, 2924, 267, 3959, 267, 9562, 267, 1514, 4656, 267, 2229, 267, 2924, 269, 4521, 11268, 5013, 1271, 7389, 538, 1876, 11268, 1686, 19325, 538, 519, 1686, 540, 519, 3924, 476, 8182, 271, 338, 32414, 476, 14321, 276, 519, 2749, 540, 536, 10667, 20964, 513, 3781, 4585, 267, 538, 799, 10492, 6039, 851, 6066, 267, 1510, 2628, 563, 288, 5618, 1686, 540, 476, 790, 1633, 2671, 1923, 513, 5618, 1686, 540, 476, 790, 1633, 281, 513, 1753, 4341, 3915, 729, 5293, 538, 476, 4489, 273, 855, 2629, 569, 621, 729, 711, 4547, 883, 1876, 269, 901, 1382, 3391, 568, 606, 4367, 547, 519, 2596, 3656, 2326, 540, 2413, 7005, 1876, 585, 519, 1686, 543, 2126, 540, 2665, 1991, 547, 476, 3707, 278, 269, 901, 2985, 2488, 1344, 593, 519, 1686, 540, 519, 24067, 9769, 2596, 1344, 9086, 543, 2013, 25237, 1265, 269, 476, 1001, 277, 14469, 2489, 8480, 9706, 32123, 543, 4058, 5234, 3084, 21517, 543, 5638, 7245, 2596, 4031, 543, 8128, 540, 1876, 476, 13647, 268, 6942, 267, 519, 1686, 540, 269, 7476, 3758, 0, 295, 528, 714, 7267, 6713, 10724, 21222, 7267, 7557, 1456, 267, 849, 1634, 607, 17819, 267, 12346, 593, 27414, 2759, 1562, 547, 4894, 4496, 689, 513, 32179, 563, 23966, 476, 29876, 10049, 543, 19007, 22948, 6997, 1948, 476, 275, 476, 272, 5130, 476, 1556, 267, 476, 1001, 271, 631, 3739, 6713, 21007, 575, 13979, 3845, 454, 290, 10998, 17819, 6191, 616, 3684, 2645, 799, 616, 1031, 585, 519, 5935, 540, 4496, 543, 824, 4396, 2326, 269, 519, 5969, 1184, 666, 581, 3323, 689, 513, 4396, 3625, 2676, 6872, 275, 8287, 4773, 540, 1031, 4496, 11529, 12227, 17656, 1299, 631, 3739, 6191, 267, 4496, 11529, 6191, 2139, 585, 1312, 3157, 607, 1134, 607, 1031, 4496, 454, 290, 10998, 631, 3739, 568, 513, 2357, 770, 850, 1184, 602, 666, 1118, 1950, 2694, 269, 18981, 14200, 616, 2139, 607, 476, 273, 267, 274, 267, 275, 267, 276, 7852, 6191, 563, 300, 3739, 4985, 631, 3739, 568, 607, 4909, 607, 17656, 1851, 13324, 4496, 5969, 3157, 269, 631, 3739, 568, 11684, 585, 513, 2596, 20619, 1184, 267, 855, 1317, 454, 763, 5295, 540, 513, 631, 3739, 10724, 269, 547, 5458, 4853, 6191, 602, 1489, 1804, 12051, 3157, 269, 631, 3739, 6191, 849, 1491, 5413, 540, 2780, 1242, 1852, 585, 454, 7628, 18981, 17819, 519, 2780, 18922, 519, 1374, 883, 5528, 593, 875, 519, 16590, 2115, 547, 1847, 547, 1711, 519, 3337, 269, 15380, 267, 519, 16590, 666, 1847, 909, 1524, 267, 610, 454, 300, 3739, 10724, 6713, 267, 1733, 3421, 1446, 15316, 4400, 10866, 631, 3739, 10724, 6713, 15733, 689, 6820, 631, 3739, 10724, 6713, 4675, 11502, 543, 631, 3739, 10724, 6713, 454, 1432, 568, 513, 631, 3739, 10724, 269, 21222, 7267, 631, 3739, 10724, 609, 4518, 538, 6713, 3938, 17940, 540, 595, 32385, 10620, 631, 3739, 10724, 7577, 267, 595, 32385, 10620, 267, 11882, 269, 13472, 476, 275, 540, 476, 278, 563, 763, 1101, 17819, 6191, 941, 1759, 593, 519, 2259, 540, 27414, 25937, 269, 589, 1184, 799, 7960, 538, 9118, 3684, 15945, 1472, 519, 1158, 267, 27414, 25937, 4389, 519, 454, 310, 564, 17819, 296, 25605, 6713, 269, 22911, 17819, 22911, 17819, 609, 594, 25605, 781, 538, 1467, 6191, 568, 513, 2922, 543, 3608, 4244, 547, 3819, 8860, 269, 16959, 8860, 5932, 513, 2603, 540, 7452, 454, 300, 21135, 5058, 631, 21815, 12114, 20525, 2207, 25972, 7495, 13932, 275, 299, 8577, 2177, 476, 272, 20081, 3008, 298, 476, 272, 476, 273, 269, 631, 3739, 26682, 513, 269, 4937, 269, 634, 17819, 3684, 18788, 4496, 609, 513, 2847, 6295, 5969, 454, 300, 21135, 5058, 631, 21815, 2562, 4932, 2969, 2207, 24361, 306, 31087, 10976, 3201, 11550, 290, 8577, 2464, 26386, 540, 932, 760, 6874, 4286, 7557, 1456, 6713, 4513, 3040, 631, 3739, 568, 519, 1034, 1455, 1106, 454, 300, 778, 1456, 568, 1022, 540, 1585, 3157, 538, 799, 513, 4062, 540, 6151, 1570, 568, 2759, 883, 513, 5551, 3803, 3337, 543, 2450, 631, 3739, 6191, 616, 519, 9030, 3684, 1907, 454, 10303, 596, 666, 979, 689, 17819, 547, 8860, 538, 835, 3684, 267, 596, 2811, 711, 1152, 9494, 593, 3854, 3937, 267, 7464, 5384, 10724, 267, 6713, 6513, 543, 4578, 5004, 563, 21581, 11251, 5788, 476, 26116, 276, 1031, 17819, 6191, 585, 9042, 269, 4279, 5542, 540, 2034, 11804, 17819, 6191, 689, 23965, 1299, 998, 14193, 2388, 269, 16179, 17819, 6191, 454, 305, 565, 1782, 631, 3739, 10724, 6713, 269, 17029, 1782, 7085, 7557, 10320, 543, 16811, 2344, 1867, 4400, 6826, 600, 1547, 901, 7121, 6227, 24284, 5097, 7722, 538, 454, 300, 3739, 568, 513, 5969, 1184, 602, 3096, 513, 17819, 2759, 614, 547, 4894, 1570, 689, 519, 2627, 540, 513, 32179, 269, 634, 17819, 2759, 614, 568, 513, 27414, 5969, 1907, 267, 1419, 609, 454, 560, 2774, 10198, 1184, 543, 1374, 269, 634, 13138, 17819, 4099, 568, 513, 3810, 6422, 3684, 267, 18981, 17819, 6191, 631, 4488, 3198, 9331, 2207, 2975, 18981, 17819, 6191, 0, 19365, 1913, 10290, 267, 606, 7005, 11509, 10564, 267, 849, 8100, 546, 3530, 617, 2812, 538, 1010, 6648, 968, 328, 18389, 1229, 24949, 607, 513, 6531, 5608, 7206, 513, 4605, 540, 513, 14629, 269, 634, 2470, 10564, 281, 13275, 1913, 10290, 1913, 19431, 781, 946, 540, 519, 2262, 2470, 1913, 19431, 1031, 519, 2262, 2470, 547, 540, 812, 267, 855, 267, 1100, 8969, 267, 713, 568, 513, 8768, 540, 13513, 543, 10564, 673, 4082, 1224, 281, 6965, 1557, 3732, 269, 968, 339, 514, 1181, 705, 21161, 2223, 676, 13275, 1913, 10290, 267, 568, 513, 6648, 602, 30211, 593, 513, 519, 946, 540, 2143, 11052, 1369, 968, 339, 514, 1181, 705, 21161, 892, 2488, 513, 19756, 2666, 585, 269, 14117, 546, 3530, 617, 2812, 616, 1419, 1031, 676, 2860, 7239, 607, 513, 3090, 540, 4126, 519, 3552, 546, 3530, 617, 559, 568, 519, 835, 602, 6273, 13275, 1913, 10290, 781, 4583, 6648, 519, 1650, 1281, 1397, 519, 2956, 540, 5329, 546, 3530, 617, 559, 15620, 538, 513, 2922, 563, 9349, 642, 540, 13275, 1913, 10290, 781, 519, 840, 331, 8775, 10741, 609, 513, 561, 3512, 936, 519, 519, 946, 540, 519, 6149, 543, 519, 7387, 607, 6698, 540, 1346, 5207, 540, 269, 5261, 1025, 820, 3096, 13513, 267, 782, 4288, 267, 543, 11052, 547, 5862, 513, 12667, 4605, 540, 519, 6476, 540, 13275, 1025, 820, 781, 561, 5064, 543, 1913, 10290, 781, 7768, 2390, 4586, 20373, 543, 7778, 540, 519, 2101, 4798, 540, 1913, 10290, 781, 6965, 713, 3015, 5339, 9880, 568, 3501, 585, 4896, 5185, 609, 1913, 10290, 781, 6965, 3594, 267, 4574, 267, 676, 281, 13275, 1913, 10290, 1913, 10290, 14578, 11363, 519, 2956, 540, 2470, 547, 606, 1367, 781, 7214, 543, 5289, 1646, 269, 1323, 7005, 3332, 1557, 21287, 267, 2854, 676, 938, 1053, 267, 609, 5396, 519, 946, 540, 13513, 538, 519, 6881, 540, 3197, 543, 13602, 538, 795, 2033, 2363, 516, 543, 959, 643, 1731, 18769, 737, 636, 926, 25888, 19789, 2090, 519, 1412, 331, 1075, 344, 262, 9954, 676, 13275, 1913, 10290, 543, 269, 2201, 519, 2627, 267, 1913, 10290, 781, 6648, 267, 1250, 2295, 682, 2355, 909, 267, 568, 827, 519, 2241, 855, 1775, 1131, 8044, 602, 519, 22774, 538, 713, 6648, 568, 513, 3090, 585, 2470, 607, 513, 2898, 1913, 10290, 23647, 585, 15023, 547, 1847, 2476, 689, 519, 946, 540, 10053, 543, 563, 17504, 29536, 3096, 13513, 998, 6249, 781, 547, 6655, 1010, 5784, 1913, 10290, 14753, 827, 1557, 593, 13275, 1913, 10290, 543, 2470, 476, 3445, 275, 1913, 1923, 476, 275, 3817, 269, 5131, 1557, 281, 519, 2067, 1158, 568, 835, 602, 6818, 3544, 540, 782, 1480, 13275, 1913, 10290, 781, 946, 540, 2470, 1557, 1893, 568, 513, 4015, 540, 6698, 18170, 676, 3652, 543, 1031, 547, 6655, 6835, 1063, 2043, 269, 10801, 713, 1557, 568, 2963, 6029, 1175, 875, 646, 12913, 713, 267, 609, 2407, 2463, 4724, 519, 1455, 812, 267, 1210, 1893, 543, 11052, 602, 729, 711, 269, 7102, 4081, 1557, 1590, 723, 513, 5098, 3948, 543, 513, 6965, 1557, 568, 1100, 9868, 519, 2034, 851, 540, 713, 2243, 12134, 1946, 1705, 519, 5856, 3442, 547, 946, 519, 585, 1383, 267, 596, 1522, 6430, 602, 13275, 1913, 10290, 781, 6648, 968, 546, 3530, 617, 2812, 892, 568, 585, 1383, 267, 835, 5037, 1522, 1865, 875, 546, 3530, 617, 2812, 616, 513, 3090, 540, 519, 563, 763, 11509, 13513, 538, 519, 22072, 556, 1653, 6648, 13275, 1913, 10290, 3096, 538, 1010, 6648, 2185, 588, 11961, 553, 609, 5216, 3515, 609, 513, 8037, 269, 634, 23058, 344, 9954, 616, 513, 3126, 540, 2947, 9954, 7768, 676, 519, 7005, 11509, 10564, 13275, 1913, 10290, 630, 10082, 271, 1700, 6977, 271, 264, 1063, 476, 9692, 279, 543, 476, 5197, 272, 519, 7599, 267, 513, 3090, 540, 519, 11537, 267, 29826, 20406, 607, 519, 6648, 22264, 267, 2394, 922, 23589, 6749, 538, 519, 855, 2401, 5156, 1913, 10290, 781, 946, 540, 519, 8360, 519, 3017, 547, 803, 563, 12024, 606, 1557, 593, 13275, 1913, 10290, 781, 968, 328, 18389, 1229, 24949, 607, 513, 6531, 2223, 799, 568, 1631, 2161, 267, 596, 616, 1603, 827, 519, 6698, 602, 3514, 345, 23878, 3096, 538, 519, 3209, 269, 2422, 891, 1806, 540, 11052, 538, 6965, 609, 2079, 547, 948, 596, 2328, 1806, 1331, 13275, 1913, 10290, 781, 1775, 18389, 1229, 24949, 607, 513, 563, 2304, 1383, 7664, 540, 519, 1101, 588, 24521, 689, 13275, 1913, 10290, 781, 6648, 267, 968, 328, 13217, 519, 5098, 865, 602, 596, 666, 946, 519, 2963, 547, 1489, 707, 2079, 13513, 267, 855, 707, 5098, 3948, 3085, 1405, 2446, 13513, 607, 1489, 585, 269, 5261, 1913, 10290, 267, 2523, 267, 538, 1010, 6965, 267, 3096, 11673, 540, 519, 13513, 540, 519, 3618, 1373, 23699, 24271, 559, 612, 569, 543, 3423, 1836, 676, 269, 0, 26705, 540, 606, 7291, 454, 11073, 1467, 4967, 2278, 281, 795, 574, 3276, 651, 2813, 4266, 281, 476, 280, 270, 1626, 270, 1220, 272, 476, 276, 281, 6021, 281, 5400, 10681, 269, 1215, 547, 2328, 606, 7291, 606, 7291, 568, 513, 1390, 1259, 547, 10891, 707, 4555, 543, 1382, 952, 596, 2811, 8600, 513, 4633, 267, 606, 1557, 267, 513, 3209, 267, 610, 1256, 513, 1353, 269, 1403, 596, 798, 1100, 917, 875, 547, 2328, 606, 7291, 538, 16643, 3898, 2638, 856, 930, 2596, 7355, 1931, 1603, 606, 7291, 538, 16643, 3898, 693, 4396, 22967, 1260, 269, 9208, 11556, 7291, 630, 5228, 519, 5748, 4099, 264, 10324, 5758, 1107, 2185, 547, 3670, 9433, 267, 3335, 2854, 693, 519, 1439, 540, 519, 1184, 267, 602, 5713, 513, 563, 1692, 547, 2328, 606, 7291, 519, 2596, 3898, 585, 606, 7291, 3096, 606, 20367, 3126, 540, 2338, 543, 5022, 267, 967, 5034, 9935, 267, 547, 5815, 269, 22478, 2376, 530, 5942, 875, 547, 2328, 606, 7291, 585, 513, 1382, 1957, 2947, 2694, 281, 3732, 14592, 7291, 1826, 543, 2497, 7291, 2157, 3334, 540, 2500, 14592, 269, 634, 3732, 7291, 602, 5205, 2501, 689, 519, 2361, 540, 20569, 267, 543, 922, 1101, 7400, 26333, 2992, 513, 1455, 1935, 5830, 1491, 950, 12180, 741, 3312, 269, 1323, 16643, 7291, 10959, 568, 513, 3561, 602, 3877, 1382, 6192, 676, 621, 779, 2278, 538, 513, 3898, 602, 3096, 19005, 27766, 4553, 676, 5022, 543, 1287, 2338, 950, 563, 11073, 1467, 3898, 543, 922, 30834, 2888, 5098, 281, 519, 5098, 5526, 1354, 519, 7291, 4010, 607, 621, 5526, 538, 519, 1957, 3294, 26270, 764, 1565, 2978, 6101, 7291, 30453, 269, 1323, 7291, 568, 513, 968, 321, 1663, 788, 11781, 892, 610, 968, 17839, 892, 585, 707, 1957, 621, 2337, 596, 547, 10891, 707, 4555, 543, 7440, 513, 1434, 7291, 666, 1118, 10647, 1382, 543, 269, 20895, 1018, 568, 606, 7291, 606, 7291, 568, 5921, 547, 948, 596, 3715, 513, 2497, 585, 513, 1957, 596, 616, 2469, 547, 2328, 621, 568, 513, 1259, 585, 596, 547, 6542, 519, 1292, 269, 901, 4199, 6257, 1946, 14592, 616, 3730, 267, 1018, 2010, 540, 14592, 2291, 267, 10372, 585, 3384, 2500, 14592, 267, 543, 875, 14592, 666, 581, 1031, 607, 606, 563, 8196, 606, 7291, 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 ]
[ 25427, 269, 898, 568, 1031, 547, 7520, 7067, 540, 13676, 12048, 10549, 610, 540, 5762, 3293, 3185, 2720, 14371, 1484, 16359, 9577, 19032, 3590, 281, 634, 24162, 16359, 9577, 19032, 3590, 610, 10648, 293, 5425, 568, 513, 476, 276, 1377, 4791, 8760, 1062, 602, 6257, 519, 14407, 5179, 1599, 540, 1004, 609, 19548, 25097, 344, 593, 519, 4493, 540, 1582, 2987, 527, 7007, 3350, 5759, 269, 3487, 7781, 8561, 538, 2870, 543, 4509, 519, 10648, 293, 5425, 4336, 26520, 593, 10442, 9361, 267, 6972, 267, 543, 8868, 539, 10688, 9950, 335, 4618, 628, 545, 16784, 281, 9210, 4618, 628, 545, 16784, 630, 1070, 3134, 4618, 11209, 16784, 267, 3134, 4618, 28387, 267, 610, 3274, 3750, 16784, 616, 4408, 585, 513, 2960, 16784, 540, 519, 5580, 22442, 573, 267, 8720, 519, 6418, 7944, 630, 4364, 658, 666, 28387, 264, 540, 519, 3750, 269, 4033, 4408, 585, 713, 16023, 1331, 726, 3821, 5493, 701, 321, 1258, 553, 23653, 543, 5493, 701, 321, 1258, 29569, 16784, 907, 13640, 553, 12792, 18618, 281, 589, 26220, 18618, 630, 10193, 1634, 607, 606, 12623, 20470, 610, 21376, 8580, 334, 1441, 18618, 264, 568, 519, 1267, 540, 519, 3157, 602, 849, 3132, 642, 4314, 532, 21054, 543, 8580, 334, 1441, 21054, 267, 543, 949, 2099, 513, 27795, 1063, 519, 1079, 269, 31226, 12792, 21054, 2049, 950, 513, 18618, 21872, 5956, 3384, 538, 14685, 334, 267, 855, 519, 6292, 1281, 711, 4628, 5094, 267, 543, 835, 21872, 15387, 8789, 1646, 693, 519, 13258, 540, 519, 824, 12171, 756, 9317, 7988, 25936, 540, 5642, 307, 32214, 11144, 281, 570, 32214, 11144, 568, 519, 3791, 543, 2063, 5123, 538, 10510, 1646, 269, 901, 5123, 568, 27537, 676, 2799, 2208, 3432, 543, 1045, 553, 4369, 540, 519, 10510, 2281, 13034, 344, 704, 842, 3748, 302, 341, 4115, 512, 832, 542, 17812, 523, 1388, 4579, 1116, 27442, 1013, 617, 716, 344, 569, 281, 2142, 1023, 6794, 630, 322, 784, 523, 1388, 4579, 1116, 27442, 1013, 617, 716, 344, 569, 267, 2142, 1023, 6953, 3663, 339, 6794, 264, 568, 513, 4686, 22787, 24561, 5160, 4524, 269, 2142, 1023, 6794, 814, 1152, 5063, 1044, 4330, 607, 513, 6794, 3982, 689, 3057, 325, 534, 781, 6794, 6185, 1619, 16050, 1129, 281, 769, 4915, 267, 519, 10053, 16050, 1129, 610, 5409, 323, 1619, 16050, 1129, 568, 513, 10237, 11043, 1129, 2938, 593, 2780, 29821, 630, 6311, 264, 18767, 2303, 633, 540, 2038, 29769, 545, 8482, 269, 769, 4505, 2090, 540, 2564, 9196, 538, 2550, 609, 18116, 267, 621, 729, 519, 9998, 1129, 540, 29769, 545, 8482, 538, 513, 1713, 12102, 540, 2665, 12171, 268, 1428, 267, 276, 4200, 303, 710, 531, 22889, 288, 545, 31651, 1700, 294, 719, 328, 11726, 637, 6794, 18893, 29741, 3055, 5418, 628, 903, 332, 2762, 281, 8838, 29741, 3055, 5418, 628, 903, 332, 2762, 630, 302, 7968, 264, 568, 513, 1505, 547, 6218, 14910, 998, 606, 5007, 6482, 540, 519, 9221, 3774, 2627, 5163, 11065, 1120, 18696, 17361, 281, 634, 19161, 18696, 17361, 630, 528, 645, 7034, 264, 568, 513, 4922, 1031, 4791, 1449, 540, 513, 1268, 781, 11979, 543, 6422, 3666, 5759, 267, 3957, 1310, 918, 15811, 19161, 267, 835, 540, 519, 9367, 269, 1280, 6198, 3666, 4255, 267, 519, 645, 7034, 568, 3622, 2808, 547, 581, 519, 4154, 3044, 269, 1805, 269, 6307, 781, 13106, 30249, 14037, 11233, 281, 853, 269, 6307, 781, 13106, 30249, 14037, 11233, 568, 513, 1435, 28727, 1777, 335, 2517, 4178, 269, 7049, 340, 15254, 636, 281, 910, 267, 1923, 21581, 29374, 5247, 659, 25646, 6391, 281, 11473, 29374, 5247, 659, 25646, 6391, 630, 309, 2969, 306, 264, 568, 513, 1826, 540, 5247, 25714, 6391, 5340, 1210, 513, 1507, 3381, 8254, 602, 568, 5189, 883, 519, 3461, 781, 9221, 3842, 513, 9165, 269, 634, 18874, 568, 2111, 547, 2070, 519, 7405, 602, 616, 1373, 1031, 2059, 609, 519, 14169, 593, 799, 519, 18874, 568, 5665, 6185, 529, 576, 551, 3912, 10468, 584, 517, 3572, 566, 281, 3026, 584, 517, 3572, 566, 568, 519, 1305, 540, 2780, 29374, 4066, 1031, 676, 5778, 338, 25973, 976, 547, 3391, 610, 834, 333, 3572, 622, 892, 1369, 519, 32604, 540, 519, 15693, 610, 9451, 13887, 6241, 1282, 6391, 267, 543, 1031, 676, 24004, 28748, 547, 8308, 3077, 678, 307, 5960, 630, 9558, 322, 31424, 25080, 29918, 1637, 1040, 634, 1305, 540, 8800, 585, 891, 5301, 568, 5219, 547, 607, 513, 22813, 3572, 1807, 6185, 1122, 17654, 1167, 2068, 294, 7159, 630, 16058, 2567, 5274, 32376, 4016, 547, 21525, 10056, 6913, 998, 519, 3350, 540, 1480, 17873, 269, 5274, 32376, 568, 3989, 607, 536, 21317, 531, 267, 536, 13023, 553, 545, 4464, 27668, 540, 4099, 540, 8904, 540, 519, 1480, 1560, 267, 538, 799, 972, 616, 14595, 5609, 6681, 5322, 540, 1114, 12415, 540, 519, 1560, 609, 2547, 18820, 540, 1648, 269, 10468, 23757, 699, 281, 3026, 340, 4435, 637, 616, 10641, 10999, 610, 7636, 569, 3989, 23644, 12415, 540, 519, 2038, 3384, 2634, 269, 10910, 4861, 727, 637, 616, 971, 12415, 602, 1118, 909, 519, 32077, 775, 13921, 517, 610, 12042, 28090, 8160, 531, 845, 894, 6794, 281, 589, 4731, 845, 894, 6794, 630, 528, 4731, 4146, 6794, 264, 568, 513, 25992, 4806, 540, 22787, 22114, 602, 616, 1634, 610, 2219, 547, 581, 1757, 958, 1644, 630, 23997, 628, 4139, 6837, 593, 5274, 21834, 1040, 8967, 1400, 10920, 16054, 281, 1975, 1400, 10920, 16054, 568, 519, 8323, 540, 2604, 593, 835, 610, 1082, 8930, 3481, 13285, 630, 928, 1116, 791, 16636, 618, 264, 540, 519, 11983, 6241, 13034, 718, 518, 5244, 16978, 549, 10972, 1725, 2670, 281, 5082, 549, 10972, 1725, 2670, 568, 513, 1505, 540, 13844, 1344, 827, 3676, 676, 1780, 1947, 10916, 519, 5122, 2534, 540, 1560, 2694, 610, 676, 7893, 741, 3210, 547, 5007, 5122, 17003, 9950, 13152, 5948, 540, 9315, 328, 1054, 528, 25714, 17889, 281, 634, 3864, 5948, 540, 9315, 328, 1054, 528, 25714, 17889, 630, 292, 3722, 4811, 264, 568, 513, 4121, 2486, 13991, 547, 519, 2259, 540, 6315, 1054, 528, 25714, 6391, 269, 634, 1292, 3615, 540, 519, 7681, 616, 547, 4434, 2069, 538, 519, 2361, 540, 9025, 543, 5247, 25714, 6391, 543, 547, 3895, 1382, 538, 5247, 25714, 17550, 267, 21454, 267, 543, 3797, 607, 1134, 607, 547, 30136, 543, 22412, 622, 2164, 20166, 20953, 332, 641, 4100, 529, 289, 9508, 1958, 18344, 281, 589, 12498, 1958, 18344, 568, 606, 12746, 547, 3059, 7503, 630, 288, 22230, 264, 1062, 538, 799, 513, 1483, 1297, 538, 519, 1770, 8884, 568, 6719, 676, 513, 13113, 6041, 540, 513, 5311, 538, 3490, 12498, 267, 609, 12498, 1373, 513, 1483, 1297, 1063, 476, 272, 543, 476, 273, 269, 29530, 1958, 617, 619, 616, 606, 4244, 547, 2757, 4485, 547, 13942, 3009, 25244, 269, 0, 16352, 707, 4620, 8947, 5781, 568, 5393, 1271, 538, 4543, 721, 547, 2697, 543, 1521, 3676, 2038, 269, 28214, 585, 13999, 267, 6947, 585, 2295, 9597, 332, 2720, 267, 543, 10992, 707, 4620, 781, 4064, 267, 10772, 267, 2960, 267, 543, 10549, 585, 17244, 616, 1175, 513, 1906, 540, 519, 2081, 602, 938, 18362, 786, 948, 707, 4620, 3251, 2635, 269, 1284, 4363, 10130, 896, 476, 278, 1296, 1058, 723, 606, 981, 2899, 21496, 267, 1247, 10130, 3152, 982, 476, 278, 1058, 723, 513, 7466, 21496, 6514, 563, 309, 3147, 1149, 616, 930, 540, 519, 16999, 2645, 649, 4867, 723, 2139, 547, 2061, 1082, 14686, 3676, 602, 707, 4620, 949, 2097, 883, 3346, 609, 269, 15887, 625, 267, 3474, 341, 21552, 267, 543, 674, 5202, 2274, 23627, 24295, 616, 1175, 513, 1906, 540, 519, 1455, 8290, 602, 666, 3468, 707, 2915, 610, 3032, 269, 1284, 2936, 519, 1034, 1699, 12674, 10873, 547, 948, 707, 4620, 2226, 6099, 12046, 269, 1284, 1616, 596, 543, 707, 10130, 547, 1745, 2922, 950, 596, 14679, 3564, 707, 4395, 7450, 563, 291, 1581, 2068, 568, 835, 540, 519, 1034, 1455, 3768, 328, 30938, 543, 15860, 3676, 602, 649, 7237, 538, 3662, 4915, 269, 9894, 596, 917, 602, 5312, 5959, 2068, 666, 1291, 547, 1973, 13871, 3968, 602, 1223, 1198, 707, 4620, 781, 2295, 17901, 267, 6797, 267, 610, 14401, 286, 1284, 4363, 2834, 5959, 7738, 585, 707, 4620, 547, 1832, 1346, 15090, 569, 16543, 21743, 543, 602, 7362, 4195, 2336, 5978, 9744, 568, 9280, 547, 6023, 1082, 6296, 543, 6595, 10551, 5773, 269, 1284, 2259, 519, 5207, 4441, 540, 27194, 543, 3106, 585, 938, 10551, 5773, 267, 543, 1683, 9488, 840, 12845, 20469, 9584, 543, 5464, 547, 2327, 513, 2922, 10551, 1995, 269, 3776, 18874, 814, 5318, 1995, 538, 7829, 1034, 10551, 2665, 267, 2705, 267, 952, 707, 4620, 3340, 7463, 10551, 1416, 267, 649, 616, 6126, 547, 3277, 938, 7218, 547, 7404, 6391, 12665, 952, 2556, 563, 14818, 532, 707, 4620, 781, 1973, 568, 513, 1390, 1259, 547, 2708, 2949, 1072, 543, 1418, 1599, 269, 1284, 18973, 21496, 267, 6296, 1973, 1740, 547, 2697, 834, 338, 559, 550, 3676, 257, 538, 10130, 267, 971, 568, 11178, 543, 8459, 2068, 269, 1284, 849, 8415, 891, 4255, 538, 7210, 2831, 607, 513, 1797, 547, 13209, 543, 1521, 2550, 3533, 269, 14936, 267, 891, 4255, 666, 948, 721, 547, 3313, 952, 707, 4620, 568, 2635, 2614, 585, 6391, 268, 707, 4620, 781, 3106, 568, 938, 1283, 10862, 563, 19675, 707, 4620, 2154, 30674, 585, 606, 6397, 4576, 267, 649, 616, 4712, 547, 948, 269, 3776, 6413, 568, 9280, 547, 4196, 1256, 519, 7210, 652, 540, 2550, 269, 1284, 723, 6899, 267, 9602, 20453, 585, 707, 10130, 547, 3251, 267, 543, 8036, 267, 17519, 5234, 547, 7390, 547, 741, 1169, 991, 269, 1879, 707, 4620, 13978, 609, 721, 267, 596, 666, 1964, 21407, 602, 789, 786, 581, 1134, 3144, 1416, 540, 269, 0, 292, 2993, 918, 842, 27688, 693, 3163, 12139, 814, 2322, 1927, 513, 7415, 2458, 720, 1572, 2991, 8303, 281, 634, 22586, 4155, 6619, 269, 27743, 8197, 256, 634, 5580, 2451, 3113, 2982, 20406, 8375, 2518, 5434, 540, 3327, 8166, 267, 609, 711, 1256, 513, 1350, 3558, 1310, 519, 19109, 9369, 5870, 269, 634, 20327, 1310, 519, 8303, 5870, 616, 711, 4313, 532, 2901, 267, 8259, 649, 22738, 513, 7372, 4674, 563, 3719, 1631, 1413, 693, 519, 2539, 28878, 3113, 269, 6496, 4896, 3494, 602, 649, 1107, 602, 568, 267, 519, 1158, 1107, 786, 2731, 2569, 9541, 538, 5755, 267, 3282, 267, 543, 3154, 2504, 676, 936, 1269, 1911, 5479, 829, 1032, 1063, 476, 1001, 271, 543, 476, 1708, 280, 286, 2107, 602, 649, 786, 2333, 24723, 593, 1648, 4398, 676, 936, 1269, 4968, 5479, 829, 1032, 286, 2107, 602, 649, 786, 1451, 547, 3524, 6856, 811, 982, 3368, 938, 3327, 8166, 5434, 676, 476, 13975, 271, 888, 1103, 513, 13959, 2376, 267, 8693, 3444, 30030, 267, 918, 842, 27688, 13290, 547, 581, 23904, 543, 11339, 2676, 18893, 574, 1235, 1448, 547, 519, 3395, 946, 540, 3859, 267, 2842, 267, 543, 824, 7791, 1379, 2959, 543, 519, 1967, 540, 930, 6082, 267, 971, 607, 16862, 630, 5408, 533, 269, 476, 9083, 271, 1070, 538, 1225, 6883, 5434, 269, 1809, 8375, 5434, 689, 3624, 267, 3127, 267, 543, 824, 3384, 6082, 616, 32761, 532, 602, 3356, 269, 1656, 519, 771, 7356, 3950, 2594, 540, 2518, 2916, 12909, 26182, 2370, 6015, 602, 6082, 666, 3858, 547, 1118, 519, 5458, 2242, 2838, 547, 3247, 8156, 519, 5790, 899, 513, 3327, 29326, 563, 27078, 582, 328, 2209, 554, 3291, 1782, 538, 8303, 1985, 3018, 616, 18617, 891, 12909, 786, 581, 1114, 269, 769, 19109, 9369, 267, 6082, 13986, 547, 1711, 513, 16155, 11006, 6876, 267, 799, 13604, 8959, 547, 5838, 2164, 538, 851, 1317, 519, 2136, 2276, 1131, 711, 3731, 1518, 519, 14097, 269, 901, 942, 267, 6082, 1765, 13932, 540, 873, 267, 676, 519, 942, 3163, 4682, 547, 2046, 1765, 17647, 1142, 5423, 26823, 2471, 267, 1572, 2271, 2105, 13780, 958, 10318, 1441, 19928, 1903, 630, 18853, 12336, 1070, 799, 1469, 741, 16219, 5434, 11912, 543, 824, 3527, 998, 476, 10711, 271, 563, 27078, 582, 328, 2209, 4126, 519, 5377, 5346, 5442, 17584, 1935, 786, 7173, 841, 1141, 519, 1283, 16365, 19109, 9369, 4640, 8959, 269, 15043, 6082, 7361, 12758, 547, 519, 521, 573, 3894, 538, 3105, 12909, 269, 901, 942, 3592, 3025, 31251, 3624, 543, 3127, 630, 5408, 533, 269, 476, 9083, 275, 28931, 13757, 26823, 3022, 547, 3970, 5434, 269, 1656, 676, 21945, 538, 8303, 609, 26823, 2471, 538, 1688, 267, 7858, 328, 2209, 4126, 547, 2057, 519, 2063, 18826, 4666, 331, 4169, 602, 723, 798 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1590, 581, 513, 8675, 282, 543, 454, 258, 1948, 2608, 1703, 1590, 581, 513, 2387, 326, 10232, 319, 1883, 602, 1590, 581, 513, 1592, 610, 24042, 267, 865, 602, 649, 666, 946, 2387, 8999, 13237, 543, 2387, 6352, 13237, 593, 873, 563, 258, 1948, 454, 258, 1948, 898, 1131, 581, 1390, 952, 649, 1223, 723, 1945, 3330, 938, 8675, 602, 1131, 2132, 519, 3328, 3446, 269, 2334, 1797, 519, 1599, 1131, 2661, 538, 519, 1482, 1747, 607, 519, 1239, 267, 543, 1287, 621, 779, 4443, 547, 1294, 2436, 519, 1239, 649, 2154, 814, 4957, 610, 711, 563, 258, 1948, 454, 258, 1948, 23985, 1315, 3697, 270, 713, 912, 258, 1948, 8173, 258, 1948, 454, 258, 1948, 454, 258, 1948, 1250, 318, 30700, 815, 13634, 258, 1948, 567, 1412, 4067, 9166, 1412, 305, 6504, 8055, 22779, 258, 1948, 567, 1412, 326, 10232, 9166, 1496, 3583, 267, 476, 6434, 267, 476, 3445, 267, 476, 4200, 16689, 258, 1948, 567, 1412, 320, 2071, 9166, 476, 271, 1948, 1945, 1934, 547, 5173, 454, 258, 1948, 7684, 454, 258, 1948, 454, 258, 1948, 8173, 258, 1948, 898, 1131, 581, 9735, 952, 649, 1223, 798, 713, 267, 543, 6923, 519, 2387, 262, 320, 2071, 262, 319, 1131, 723, 547, 1689, 950, 1287, 2387, 262, 326, 10232, 319, 2242, 269, 898, 1590, 581, 513, 1599, 563, 258, 1948, 454, 258, 1948, 2608, 2467, 779, 1100, 1259, 547, 798, 713, 538, 513, 8675, 265, 563, 258, 1948, 454, 258, 1948, 590, 13446, 2336, 258, 1948, 454, 258, 1948, 1284, 1590, 946, 3615, 585, 713, 269, 1284, 666, 2253, 676, 3206, 540, 3615, 607, 1919, 602, 666, 4558, 1312, 1239, 543, 3252, 602, 9305, 547, 602, 1239, 563, 258, 1948, 454, 258, 1948, 3371, 779, 602, 630, 4532, 8091, 264, 8675, 538, 1843, 3898, 912, 258, 1948, 8173, 258, 1948, 454, 258, 1948, 1362, 9906, 912, 258, 1948, 567, 1219, 6449, 8181, 9191, 1345, 267, 1007, 12173, 267, 1007, 14682, 10232, 2187, 258, 1948, 672, 1582, 20508, 815, 1007, 12173, 454, 258, 1948, 672, 1582, 3052, 10232, 815, 1007, 14682, 10232, 454, 258, 1948, 454, 258, 1948, 567, 1219, 3328, 4311, 2187, 258, 1948, 672, 2132, 2040, 4311, 3052, 10232, 264, 1315, 7003, 4311, 3052, 10232, 994, 258, 1948, 454, 258, 1948, 8173, 258, 1948, 2480, 776, 16105, 256, 5213, 1406, 5855, 1765, 6343, 621, 1281, 568, 2673, 547, 519, 1482, 563, 258, 1948, 454, 258, 1948, 1879, 596, 723, 602, 1362, 267, 596, 666, 1711, 3615, 1210, 621, 269, 2913, 779, 798, 602, 1101, 543, 1287, 2491, 4010, 1018, 568, 8345, 912, 258, 1948, 8173, 258, 1948, 454, 258, 1948, 2875, 318, 821, 815, 9906, 3488, 305, 6504, 8055, 3299, 1496, 3583, 267, 476, 6434, 267, 476, 3445, 267, 476, 4200, 7481, 258, 1948, 2875, 4671, 6851, 815, 9906, 3488, 297, 846, 3299, 1496, 2004, 267, 476, 2568, 267, 476, 4200, 267, 476, 1911, 7481, 258, 1948, 454, 258, 1948, 8173, 258, 1948, 1677, 1711, 513, 1007, 1843, 267, 649, 946, 519, 1362, 2012, 607, 952, 621, 941, 513, 1599, 1289, 281, 2387, 22923, 13237, 563, 258, 1948, 454, 258, 1948, 18738, 519, 23049, 267, 649, 2322, 7440, 602, 786, 4786, 547, 519, 2387, 1029, 8181, 1029, 319, 1505, 538, 519, 2387, 22923, 319, 1362, 563, 258, 1948, 454, 258, 1948, 2387, 22923, 3488, 305, 6504, 8055, 3299, 1496, 3583, 267, 476, 6434, 267, 476, 3445, 267, 476, 4200, 8079, 319, 7851, 547, 2387, 1029, 8181, 9191, 1345, 267, 1007, 12173, 267, 1007, 14682, 10232, 23375, 563, 258, 1948, 454, 258, 1948, 1548, 596, 1439, 909, 609, 568, 513, 1315, 2251, 270, 602, 814, 1079, 3601, 267, 2387, 4067, 319, 543, 2387, 326, 10232, 319, 563, 258, 1948, 8173, 258, 1948, 454, 258, 1948, 1820, 263, 30700, 318, 821, 20508, 994, 258, 1948, 1820, 263, 30700, 4671, 6851, 20508, 994, 258, 1948, 454, 258, 1948, 8173, 258, 1948, 18738, 519, 2387, 1029, 8181, 1029, 319, 1505, 267, 649, 946, 2387, 1345, 20508, 319, 543, 2387, 1345, 3052, 10232, 18269, 2387, 1345, 319, 568, 519, 1699, 1843, 267, 865, 950, 649, 3651, 2418, 649, 12189, 1152, 519, 968, 9690, 1843, 9731, 258, 1948, 8173, 258, 1948, 454, 258, 1948, 9906, 3488, 305, 6504, 8055, 3299, 1496, 3583, 267, 476, 6434, 267, 476, 3445, 267, 476, 4200, 7481, 258, 1948, 454, 258, 1948, 1219, 6449, 8181, 9191, 1345, 267, 1007, 12173, 267, 9344, 2187, 258, 1948, 476, 1582, 20508, 815, 1007, 12173, 454, 258, 1948, 476, 1582, 3052, 10232, 815, 1007, 14682, 10232, 454, 258, 1948, 454, 258, 1948, 8173, 258, 1948, 1879, 596, 798, 713, 267, 2387, 1345, 319, 568, 519, 1007, 1843, 596, 616, 2870, 269, 1411, 666, 3651, 621, 547, 513, 4756, 912, 258, 1948, 8173, 258, 1948, 454, 258, 1948, 2875, 318, 821, 815, 9906, 3488, 305, 6504, 8055, 3299, 1496, 3583, 267, 476, 6434, 267, 476, 3445, 267, 476, 4200, 7481, 258, 1948, 454, 258, 1948, 8173, 258, 1948, 1306, 596, 798, 602, 811, 267, 1169, 1843, 568, 513, 1114, 2387, 1345, 12452, 476, 609, 8335, 8655, 3601, 4470, 593, 1018, 596, 5293, 547, 519, 2387, 22923, 13237, 1315, 24554, 528, 270, 1289, 563, 258, 1948, 8173, 258, 1948, 454, 258, 1948, 1948, 16544, 454, 258, 1948, 454, 258, 1948, 8173, 258, 1948, 15346, 267, 865, 1631, 649, 723, 519, 3615, 267, 1312, 540, 799, 723, 1114, 3601, 912, 258, 1948, 8173, 258, 1948, 454, 258, 1948, 2875, 318, 821, 815, 9906, 3488, 305, 6504, 8055, 3299, 1496, 3583, 267, 476, 6434, 267, 476, 3445, 267, 476, 4200, 7481, 258, 1948, 2875, 4671, 6851, 815, 9906, 3488, 297, 846, 3299, 1496, 2004, 267, 476, 2568, 267, 476, 4200, 267, 476, 1911, 7481, 258, 1948, 454, 258, 1948, 8173, 258, 1948, 1452, 616, 9041, 13678, 1791, 318, 547, 938, 21594, 267, 538, 602, 519, 21594, 849, 4558, 2418, 912, 258, 1948, 8173, 258, 1948, 454, 258, 1948, 546, 318, 30700, 318, 821, 815, 13634, 258, 1948, 567, 1412, 4067, 9166, 1412, 305, 6504, 8055, 22779, 258, 1948, 567, 1412, 326, 10232, 9166, 1496, 3583, 267, 476, 6434, 267, 476, 3445, 267, 476, 4200, 2639, 258, 1948, 7684, 454, 258, 1948, 546, 318, 30700, 4671, 6851, 815, 13634, 258, 1948, 567, 1412, 4067, 9166, 1412, 297, 846, 22779, 258, 1948, 567, 1412, 326, 10232, 9166, 1496, 2004, 267, 476, 2568, 267, 476, 4200, 267, 476, 1911, 2639, 258, 1948, 7684, 454, 258, 1948, 454, 258, 1948, 8173, 258, 1948, 1677, 1569, 873, 912, 258, 1948, 454, 258, 1948, 476, 8199, 258, 1948, 2875, 318, 821, 20508, 454, 258, 1948, 2875, 318, 821, 3052, 10232, 454, 258, 1948, 454, 258, 1948, 2875, 4671, 6851, 20508, 454, 258, 1948, 2875, 4671, 6851, 3052, 10232, 454, 258, 1948, 454, 258, 1948, 546, 318, 30700, 318, 821, 9131, 4067, 23300, 258, 1948, 546, 318, 30700, 318, 821, 9131, 326, 10232, 23300, 258, 1948, 454, 258, 1948, 546, 318, 30700, 4671, 6851, 9131, 4067, 23300, 258, 1948, 546, 318, 30700, 4671, 6851, 9131, 326, 10232, 23300, 258, 1948, 476, 8199, 258, 1948, 8173, 258, 1948, 454, 258, 1948, 1948, 10613, 454, 258, 1948, 454, 258, 1948, 8173, 258, 1948, 3436, 589, 1505, 568, 513, 1599, 799, 2729, 538, 513, 1362, 563, 258, 1948, 454, 258, 1948, 634, 2387, 320, 2071, 13237, 1505, 538, 519, 9906, 20465, 1362, 849, 814, 1569, 547, 2387, 1345, 12452, 519, 1699, 1843, 269, 1879, 649, 1289, 519, 1505, 912, 258, 1948, 8173, 258, 1948, 454, 258, 1948, 1820, 263, 30700, 318, 821, 18502, 2071, 15405, 258, 1948, 454, 258, 1948, 8173, 258, 1948, 1548, 568, 2731, 8345, 538, 519, 4282, 568, 912, 258, 1948, 8173, 258, 1948, 454, 258, 1948, 1820, 263, 22923, 18502, 2071, 263, 30700, 318, 821, 4917, 258, 1948, 454, 258, 1948, 8173, 258, 1948, 1306, 596, 666, 1294, 267, 2387, 30700, 318, 821, 319, 568, 5293, 607, 519, 1101, 4661, 630, 663, 602, 568, 1018, 2387, 1345, 319, 568, 538, 519, 1505, 4214, 2187, 258, 1948, 8173, 258, 1948, 454, 258, 1948, 1219, 3328, 4311, 2187, 258, 1948, 567, 2132, 2040, 4311, 3052, 10232, 264, 1315, 7003, 4311, 3052, 10232, 994, 258, 1948, 454, 258, 1948, 8173, 258, 1948, 1924, 1586, 267, 1317, 2387, 1345, 319, 568, 2387, 30700, 318, 821, 12452, 2387, 1345, 3052, 10232, 319, 568, 2387, 30700, 318, 821, 3052, 10232, 319, 563, 258, 1948, 454, 258, 1948, 4935, 912, 258, 1948, 454, 258, 1948, 2608, 634, 2040, 540, 2387, 1345, 3052, 10232, 319, 568, 519, 2040, 540, 2387, 314, 3583, 267, 476, 6434, 267, 476, 3445, 267, 476, 4200, 316, 29699, 476, 31003, 563, 258, 1948, 2608, 634, 3259, 540, 2387, 1345, 3052, 10232, 319, 568, 476, 275, 563, 258, 1948, 454, 258, 1948, 634, 1267, 786, 581, 2387, 10436, 269, 4037, 319, 563, 258, 1948, 8173, 258, 1948, 454, 258, 1948, 1535, 815, 3328, 454, 258, 1948, 454, 258, 1948, 1820, 3287, 15405, 258, 1948, 1948, 1234, 5115, 454, 258, 1948, 454, 258, 1948, 8173, 258, 1948, 3807, 547, 973, 777, 267, 519, 1362, 568, 1360, 2147, 547, 519, 8675, 855, 621, 2636, 721, 547, 1331, 2409, 607, 1134, 602, 723, 1569, 547, 519, 3601, 540, 519, 1843, 649, 2813, 563, 258, 1948, 454, 258, 1948, 26643, 849, 3947, 721, 513, 19619, 811, 10342, 267, 649, 3580, 1413, 693, 602, 538, 519, 4947, 7044, 2336, 258, 1948, 8173, 258, 1948, 454, 258, 1948, 454, 258, 1948, 1362, 12275, 720, 912, 258, 1948, 672, 1219, 6449, 8181, 9191, 1345, 2187, 258, 1948, 1363, 1582, 6983, 1513, 815, 11713, 258, 1948, 454, 258, 1948, 672, 1219, 6449, 6352, 9191, 1345, 2187, 258, 1948, 1363, 2132, 7003, 4311, 6983, 1513, 994, 258, 1948, 454, 258, 1948, 672, 1219, 6449, 23437, 14403, 9191, 1345, 267, 1883, 2187, 258, 1948, 1363, 1582, 6983, 1513, 314, 4486, 2639, 258, 1948, 454, 258, 1948, 672, 1219, 6449, 1326, 14403, 9191, 1345, 267, 1883, 2187, 258, 1948, 1363, 2132, 1582, 6983, 1513, 314, 4486, 2639, 258, 1948, 454, 258, 1948, 672, 1219, 6449, 3553, 14403, 9191, 1345, 267, 1883, 267, 1871, 2187, 258, 1948, 1363, 1582, 6983, 1513, 314, 4486, 316, 815, 476, 1871, 454, 258, 1948, 454, 258, 1948, 454, 258, 1948, 585, 323, 815, 12275, 720, 4590, 258, 1948, 585, 323, 6983, 1513, 6910, 3488, 293, 625, 3279, 5073, 258, 1948, 585, 323, 6983, 1513, 6910, 3488, 30696, 5073, 258, 1948, 454, 258, 1948, 1820, 263, 5112, 6983, 1513, 994, 258, 1948, 1820, 12759, 263, 5112, 4917, 258, 1948, 1820, 263, 5112, 314, 272, 7481, 258, 1948, 585, 323, 314, 272, 316, 815, 1412, 4565, 320, 7055, 258, 1948, 1820, 263, 5112, 314, 272, 7481, 258, 1948, 454, 258, 1948, 585, 1286, 538, 585, 323, 912, 258, 1948, 672, 1820, 6262, 541, 994, 258, 1948, 454, 258, 1948, 454, 258, 1948, 1362, 9906, 912, 258, 1948, 672, 1219, 6449, 8181, 9191, 1345, 267, 2012, 267, 1153, 2187, 258, 1948, 1363, 1582, 20508, 815, 2012, 454, 258, 1948, 1363, 1582, 4732, 1041, 815, 1153, 454, 258, 1948, 1363, 1582, 269, 12201, 815, 11713, 258, 1948, 454, 258, 1948, 672, 1219, 3328, 4311, 2187, 258, 1948, 1363, 2132, 2040, 4311, 269, 12201, 264, 1315, 7003, 4311, 269, 12201, 994, 258, 1948, 454, 258, 1948, 454, 258, 1948, 3045, 320, 815, 9906, 2891, 2304, 3534, 2580, 834, 23682, 5112, 5602, 258, 1948, 454, 258, 1948, 8173, 258, 1948, 5994, 596, 4076, 3893, 513, 1362, 899, 519, 1657, 267, 543, 596, 1616, 547, 1711, 513, 2147, 1362, 609, 930, 3063, 10342, 269, 1280, 1383, 267, 513, 2875, 602, 711, 1152, 814, 7436, 855, 849, 513, 14057, 12544, 2387, 22998, 22923, 319, 912, 258, 1948, 8173, 258, 1948, 454, 258, 1948, 1362, 11554, 22923, 912, 258, 1948, 672, 1219, 6449, 8181, 9191, 1345, 267, 2012, 267, 1153, 267, 14057, 2187, 258, 1948, 1363, 1582, 20508, 815, 2012, 454, 258, 1948, 1363, 1582, 4732, 1041, 815, 1153, 454, 258, 1948, 1363, 1582, 269, 12201, 815, 11713, 258, 1948, 1363, 1582, 4732, 531, 776, 815, 14057, 454, 258, 1948, 454, 258, 1948, 672, 1219, 3328, 4311, 2187, 258, 1948, 1363, 2132, 2040, 4311, 269, 12201, 264, 1315, 7003, 4311, 269, 12201, 994, 258, 1948, 454, 258, 1948, 454, 258, 1948, 887, 331, 325, 815, 11554, 22923, 2891, 305, 6504, 2580, 834, 300, 3951, 2580, 476, 1428, 269, 2004, 994, 258, 1948, 454, 258, 1948, 8173, 258, 1948, 1717, 596, 666, 1294, 972, 779, 513, 2603, 540, 5918, 6473, 1063 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 547, 9718, 19811, 262, 960, 607, 1101, 2557, 3332, 267, 2943, 1934, 781, 519, 2462, 645, 7473, 596, 6785, 729, 4947, 563, 3719, 267, 744, 300, 294, 29755, 1352, 5206, 621, 538, 1101, 1268, 11553, 2464, 7728, 13029, 563, 296, 1223, 2760, 1205, 6899, 609, 519, 13029, 269, 3502, 1317, 519, 2278, 729, 13546, 696, 538, 519, 2511, 1352, 729, 9001, 267, 2094, 547, 519, 14669, 267, 19811, 568, 513, 2484, 811, 4810, 5856, 982, 594, 993, 267, 543, 594, 723, 4986, 855, 2463, 585, 1200, 267, 855, 1317, 18864, 2608, 716, 1302, 1936, 919, 1169, 24971, 2034, 540, 741, 1272, 269, 898, 781, 3274, 32601, 547, 798, 865, 563, 1432, 649, 798, 538, 4641, 568, 723, 4555, 267, 1287, 1279, 536, 8083, 540, 1554, 29681, 610, 31325, 7477, 14688, 856, 693, 519, 6607, 267, 543, 938, 4555, 782, 855, 28201, 2476, 883, 938, 32436, 267, 543, 538, 891, 2053, 1141, 938, 4555, 973, 27827, 938, 2247, 4422, 10145, 543, 649, 723, 8090, 540, 1990, 523, 563, 4322, 8090, 10093, 8164, 649, 1654, 326, 856, 538, 4395, 540, 519, 7641, 610, 1247, 17774, 532, 519, 1357, 610, 1247, 6947, 547, 1434, 2575, 269, 5620, 596, 2479, 14478, 513, 16168, 3032, 3381, 593, 13334, 543, 1936, 730, 621, 547, 3054, 538, 1483, 942, 286, 31598, 711, 269, 14348, 333, 1405, 621, 581, 9490, 952, 1004, 2965, 1705, 602, 888, 4517, 1934, 781, 1250, 24255, 269, 4658, 667, 2177, 31415, 2965, 798, 602, 269, 1358, 1152, 798, 602, 538, 9089, 602, 616, 2854, 538, 1101, 1268, 1459, 13029, 269, 6904, 568, 20868, 563, 3383, 594, 1265, 513, 2603, 4636, 609, 602, 1880, 2511, 13745, 609, 602, 1880, 13029, 269, 594, 786, 1034, 2693, 2057, 1101, 1268, 1459, 13029, 607, 519, 6174, 547, 1936, 622, 1250, 1378, 2984, 267, 8259, 18825, 568, 18530, 2724, 693, 803, 547, 798, 865, 267, 538, 799, 2013, 267, 594, 1131, 25747, 8078, 324, 269, 1809, 6382, 267, 594, 786, 4440, 2057, 23993, 1346, 1079, 538, 519, 2062, 5408, 762, 2104, 563, 19602, 267, 594, 1589, 952, 596, 1616, 547, 7903, 3054, 607, 513, 5856, 267, 543, 2119, 1945, 1483, 4101, 267, 2119, 1603, 513, 3209, 609, 15823, 26690, 3197, 267, 689, 2789, 5380, 267, 1585, 14789, 267, 543, 593, 1283, 540, 621, 782, 12235, 593, 606, 6946, 4729, 540, 954, 933, 3058, 1650, 3515, 267, 1287, 1205, 621, 782, 547, 15074, 269, 594, 1745, 602, 7307, 607, 1454, 609, 1250, 3209, 9779, 1084, 281, 589, 1763, 18675, 28202, 14525, 267, 543, 4352, 621, 13934, 803, 538, 3592, 1169, 1259, 267, 594, 8057, 811, 607, 513, 5856, 689, 713, 835, 1433, 982, 594, 1131, 723, 1185, 594, 12758, 547, 2241, 1101, 1268, 9423, 269, 2334, 594, 993, 2386, 540, 563, 9617, 930, 1426, 585, 2219, 267, 596, 917, 267, 952, 596, 2811, 606, 14971, 5856, 269, 0, 1103, 1323, 2296, 15858, 910, 7638, 2125, 454, 10743, 544, 830, 5961, 543, 7058, 1018, 1344, 568, 1373, 19500, 269, 4635, 1007, 6863, 267, 789, 2626, 2055, 827, 513, 1650, 789, 1224, 269, 4841, 1404, 513, 3014, 543, 2328, 513, 4484, 7713, 741, 1489, 610, 20060, 6269, 677, 540, 9849, 1153, 26977, 563, 274, 14358, 476, 271, 20042, 454, 16215, 476, 272, 281, 4826, 568, 5020, 281, 634, 9839, 543, 3163, 19992, 713, 1912, 19189, 454, 12850, 267, 1216, 267, 10876, 2443, 855, 786, 972, 581, 2614, 547, 4235, 286, 6744, 856, 891, 2143, 3992, 4566, 547, 2743, 15726, 7704, 1216, 4783, 543, 18938, 7924, 4441, 538, 707, 2257, 4928, 269, 22996, 798, 513, 2673, 2542, 540, 513, 4101, 267, 19621, 1257, 2483, 277, 628, 910, 476, 279, 628, 2296, 5678, 8551, 18938, 281, 23850, 454, 6124, 5623, 966, 30743, 281, 3127, 781, 11162, 268, 10000, 595, 4319, 454, 8340, 707, 13395, 538, 519, 2257, 4928, 269, 22996, 1353, 519, 1909, 540, 13395, 5095, 1369, 606, 5117, 543, 2015, 519, 1764, 540, 519, 2530, 540, 891, 7103, 269, 4256, 7634, 2882, 642, 30743, 267, 9932, 10987, 267, 543, 19498, 563, 277, 628, 910, 476, 279, 628, 3163, 18938, 281, 23850, 454, 6124, 5623, 2913, 779, 5192, 11933, 3749, 6168, 19204, 454, 7476, 909, 2673, 543, 2123, 609, 2281, 538, 513, 3946, 6823, 3460, 547, 3605, 1018, 2306, 909, 2713, 1919, 269, 18623, 1451, 3407, 17209, 1983, 267, 5490, 883, 519, 7073, 8426, 7869, 267, 543, 2744, 5813, 883, 875, 2281, 16196, 269, 634, 3769, 2978, 2483, 277, 628, 3163, 18938, 281, 23850, 454, 6124, 5623, 834, 17556, 518, 257, 19331, 731, 13241, 281, 5516, 619, 538, 10960, 11982, 454, 13914, 899, 606, 11653, 543, 606, 6694, 10196, 936, 519, 1576, 540, 476, 1321, 4245, 538, 513, 13241, 1759, 1770, 269, 8479, 3744, 1491, 593, 519, 5107, 540, 3662, 28772, 5505, 267, 3662, 4719, 1235, 267, 6694, 8030, 267, 3662, 6484, 1235, 267, 543, 2483, 274, 6113, 910, 476, 276, 628, 3163, 18938, 281, 23850, 0, 306, 2316, 17247, 310, 2969, 2207, 267, 21411, 5055, 269, 910, 4841, 543, 3744, 10356, 693, 519, 13013, 308, 772, 3008, 22947, 13749, 593, 13638, 538, 13922, 540, 5355, 4049, 4365, 21855, 563, 2005, 781, 851, 540, 519, 14160, 5495, 291, 5336, 4338, 1788, 267, 543, 1053, 689, 519, 2160, 540, 20274, 267, 20274, 3557, 2160, 267, 2160, 540, 17996, 543, 2160, 540, 27228, 9250, 19025, 547, 2268, 4365, 2175, 563, 2108, 3725, 958, 267, 1018, 649, 2461, 3168, 585, 568, 3384, 1949, 547, 948, 721, 1732, 1174, 519, 5790, 543, 2087, 4365, 20925, 2437, 1767, 808, 877, 344, 15243, 267, 8689, 540, 519, 1133, 2006, 2740, 3194, 4659, 693, 13013, 308, 563, 763, 2175, 666, 581, 20794, 539, 547, 519, 2817, 16661, 6796, 267, 543, 519, 3804, 568, 547, 2285, 811, 1291, 942, 593, 4049, 4365, 563, 763, 19025, 666, 8038, 2362, 982, 2757, 2234, 1513, 543, 20794, 1919, 899, 11195, 267, 22406, 543, 2837, 269, 634, 19025, 616, 849, 9280, 609, 8596, 543, 666, 8038, 909, 547, 476, 274, 267, 1822, 3952, 563, 288, 2462, 3804, 540, 519, 1788, 568, 547, 3986, 28575, 21855, 563, 18658, 649, 8910, 899, 547, 581, 2111, 547, 798, 568, 1205, 547, 606, 5662, 267, 543, 519, 14368, 5505, 616, 8746, 602, 267, 952, 649, 1683, 873, 609, 519, 2953, 1239, 267, 789, 3580, 581, 2111, 547, 1205, 621, 547, 602, 1448, 2437, 15243, 1767, 563, 763, 1788, 1869, 814, 827, 1079, 811, 1296, 540, 4152, 543, 267, 2899, 519, 19025, 616, 1031, 538, 2259, 267, 789, 666, 849, 948, 24633, 21804, 540, 31285, 269, 0, 30875, 6424, 774, 648, 879, 4828, 267, 3194, 7433, 454, 2005, 3884, 1406, 1360, 1419, 602, 513, 3020, 25174, 812, 2501, 2059, 269, 774, 648, 879, 729, 513, 3020, 25174, 812, 269, 774, 648, 879, 729, 5461, 538, 1082, 1114, 1919, 269, 1261, 546, 13741, 1194, 538, 519, 9443, 282, 3226, 7762, 1415, 543, 7350, 267, 607, 1134, 607, 1454, 811, 1950, 2093, 971, 607, 6138, 543, 16637, 1581, 1143, 269, 774, 648, 879, 729, 513, 5963, 7415, 812, 563, 7212, 774, 648, 879, 568, 1158, 569, 15646, 895, 585, 1010, 10952, 2093, 267, 12591, 543, 6436, 267, 646, 729, 849, 513, 13085, 10196, 269, 1280, 1383, 267, 774, 648, 879, 929, 3660, 5128, 538, 1373, 2111, 547, 2285, 693, 1022, 2016, 4090, 267, 519, 23481, 562, 32393, 1155, 540, 3592, 1022, 2030, 610, 3662, 269, 774, 648, 879, 849, 13736, 8101, 2713, 267, 543, 5368, 1203, 539, 519, 968, 327, 684, 614, 3766, 520, 1877, 337, 892, 2856, 563, 8170, 782, 519, 1702, 649, 723, 540, 5493, 23534, 18508, 267, 1034, 540, 621, 2501, 689, 519, 2090, 540, 774, 648, 879, 269, 774, 648, 879, 6026, 721, 676, 4693, 543, 5470, 1018, 649, 1223, 543, 1223, 711, 3548, 689, 519, 18137, 269, 13518, 540, 1010, 4681, 616, 1336, 538, 8261, 338, 971, 607, 634, 8136, 779, 12197, 6651, 585, 17073, 27834, 269, 4014, 596, 2461, 711, 2693, 547, 1265, 6668, 8261, 338, 543, 2835, 593, 17580, 3552, 2371, 538, 13416, 3332, 267, 972, 616, 1082, 2835, 593, 971, 3584, 563, 1320, 648, 879, 729, 849, 606, 5140, 6668, 626, 269, 1280, 1383, 269, 20764, 1005, 883, 519, 18137, 646, 5645, 609, 1864, 10416, 4986, 543, 1869, 646, 7307, 547, 2661, 1055, 519, 2244, 1256, 998, 519, 27162, 4554, 540, 24475, 267, 513, 7415, 9028, 585, 4896, 547, 9585, 269, 1306, 1134, 607, 513, 6668, 626, 267, 774, 648, 879, 729, 849, 835, 540, 519, 1101, 5726, 626, 269, 774, 648, 879, 779, 2093, 593, 5726, 941, 5293, 1524, 547, 519, 18971, 540, 5726, 282, 7338, 16423, 324, 543, 31187, 17619, 563, 1320, 648, 879, 729, 17216, 513, 25174, 812, 269, 1261, 838, 22931, 519, 2067, 2065, 1158, 609, 1010, 538, 3178, 6436, 543, 2090, 269, 1261, 849, 8118, 909, 513, 2898, 1007, 1158, 282, 519, 1158, 540, 5726, 269, 3509, 5026, 5443, 543, 7255, 4961, 723, 4553, 774, 648, 879, 538, 519, 726, 697, 547, 1732, 519, 4541, 269, 774, 648, 879, 10660, 1229, 519, 2413, 2257, 540, 16909, 7067, 267, 543, 17580, 3552, 2371, 269, 774, 648, 879, 729, 6619, 540, 1010, 942, 543, 729, 513, 5963, 7415, 812, 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 ]
[ 741, 2085, 543, 4397, 11095, 5759, 269, 4841, 609, 513, 5868, 540, 23206, 4347, 7228, 13081, 1459, 609, 891, 543, 824, 2589, 971, 607, 3668, 540, 1582, 18221, 267, 26740, 2019, 819, 267, 4057, 2324, 3965, 543, 26093, 5615, 269, 1215, 798, 649, 3914, 543, 4001, 891, 1053, 286, 22067, 547, 713, 29519, 547, 1451, 827, 519, 5767, 1382, 267, 1732, 1174, 713, 4524, 543, 547, 4019, 2994, 543, 22581, 547, 948, 873, 8011, 563, 7343, 15533, 27870, 519, 11374, 22912, 919, 454, 268, 3213, 2286, 5753, 1299, 1855, 839, 2433, 5082, 1161, 0, 26123, 32090, 9082, 9244, 5156, 538, 519, 5610, 540, 4641, 609, 7919, 689, 17691, 543, 14868, 269, 769, 741, 9637, 267, 972, 729, 1100, 10465, 19459, 519, 1570, 543, 5289, 10600, 269, 29331, 543, 9589, 7919, 267, 941, 606, 538, 29323, 762, 851, 540, 519, 8723, 3232, 1272, 543, 1576, 540, 1272, 540, 782, 31557, 563, 15447, 1578, 540, 25655, 12738, 267, 9589, 2853, 543, 4984, 568, 1759, 5631, 593, 2854, 2959, 267, 17691, 543, 6071, 28756, 675, 269, 769, 519, 2025, 32090, 2477, 267, 519, 2551, 16119, 5156, 538, 17691, 610, 14868, 269, 634, 3328, 1268, 1185, 1100, 2856, 875, 547, 5706, 9589, 7919, 543, 9259, 602, 646, 1522, 7237, 1282, 1010, 32603, 902, 269, 901, 568, 1946, 865, 1082, 17260, 941, 3964, 269, 634, 3544, 1158, 729, 5631, 30409, 1282, 2112, 610, 4123, 30295, 267, 543, 18318, 267, 521, 13396, 516, 3464, 543, 17308, 612, 525, 3576, 936, 519, 1909, 540, 561, 807, 11143, 609, 4948, 4641, 269, 898, 729, 789, 945, 27058, 519, 1702, 602, 4847, 873, 547, 4339, 519, 4229, 540, 9409, 563, 300, 20723, 543, 922, 3741, 454, 300, 698, 673, 2853, 538, 3504, 22778, 807, 941, 5631, 5645, 856, 676, 2021, 267, 1572, 966, 7238, 331, 9366, 676, 519, 17137, 269, 9093, 945, 5887, 3293, 883, 519, 2619, 540, 22408, 1356, 344, 1223, 28855, 1125, 741, 5256, 11348, 267, 607, 789, 941, 16143, 540, 2498, 655, 514, 2329, 267, 543, 713, 729, 513, 771, 323, 664, 585, 513, 22871, 540, 12703, 543, 4250, 1652, 21847, 269, 31557, 7463, 5631, 538, 2196, 545, 9059, 267, 855, 789, 6785, 543, 1419, 1031, 824, 8677, 281, 694, 573, 337, 267, 838, 2801, 543, 7523, 20142, 269, 1280, 1142, 540, 891, 10459, 267, 11733, 729, 513, 1360, 1271, 3693, 269, 634, 9589, 1148, 540, 694, 573, 337, 267, 666, 581, 3379, 547, 695, 16120, 1143, 1107, 519, 917, 518, 4607, 1344, 827, 519, 2104, 689, 11937, 543, 14326, 269, 901, 4847, 1200, 547, 2061, 2068, 267, 3589, 519, 2104, 543, 5641, 1225, 4513, 267, 543, 1256, 6318, 519, 4666, 269, 8895, 20142, 1107, 568, 513, 3099, 540, 694, 573, 337, 267, 799, 20705, 547, 22072, 1004, 269, 901, 7936, 1223, 581, 13736, 676, 2367, 1510, 2530, 540, 15683, 269, 898, 3238, 7574, 12738, 602, 2322, 835, 538, 513, 959, 766, 267, 28823, 1494, 687, 543, 20715, 598, 1723, 2388, 267, 543, 16213, 1347, 916, 593, 519, 2247, 540, 606, 18545, 269, 1975, 2801, 267, 593, 519, 824, 1688, 267, 729, 2404, 609, 4230, 1537, 2951, 267, 16909, 1143, 543, 7067, 563, 18131, 945, 7722, 538, 9059, 1185, 547, 723, 513, 2178, 7209, 269, 1358, 941, 7925, 547, 15896, 610, 519, 32716, 540, 694, 619, 1282, 12738, 269, 1358, 6719, 8723, 1004, 538, 519, 30608, 1158, 950, 1818, 13668, 267, 607, 1134, 607, 12109, 603, 338, 538, 519, 1480, 1158, 950, 23142, 22649, 269, 1280, 713, 2601, 267, 17174, 865, 16251, 16558, 941, 3810, 15197, 267, 543, 1100, 835, 6836, 547, 2243, 741, 1983, 607, 1134, 607, 741, 2990, 269, 634, 3504, 521, 13396, 19843, 5030, 538, 7733, 543, 593, 519, 856, 12921, 16630, 540, 17260, 267, 1223, 1293, 593, 25055, 267, 5030, 593, 741, 1378, 2474, 267, 543, 941, 711, 22983, 676, 519, 2551, 585, 1100, 7805, 2601, 269, 1358, 849, 1185, 10058, 4773, 540, 7802, 267, 543, 1705, 711, 851, 609, 741, 27972, 752, 267, 26372, 543, 17309, 269, 3962, 851, 540, 519, 28459, 729, 1500, 540, 3662, 2960, 267, 1317, 621, 729, 5156, 602, 513, 1268, 9849, 9663, 1131, 2744, 3870, 609, 519, 10971, 610, 1569, 547, 741, 7060, 563, 300, 19390, 6652, 12090, 689, 14868, 267, 855, 25655, 9059, 814, 7899, 538, 1455, 609, 873, 269, 6468, 945, 1223, 543, 838, 684, 540, 741, 1378, 1863, 786, 941, 1454, 23163, 676, 519, 10971, 8744, 13884, 543, 1434, 19539, 269, 32090, 9082, 1572, 971, 30823, 839, 7439, 985, 269, 7439, 985, 22234, 2027, 7060, 269, 1358, 941, 2111, 547, 6494, 12008, 3781, 2742, 637, 2390, 519, 3207, 619, 267, 543, 1657, 782, 267, 789, 2813, 9589, 2196, 525, 269, 13088, 865, 1898, 538, 25655, 9059, 269, 6270, 513, 7385, 1223, 711, 1152, 3142, 519, 3870, 540, 519, 1434, 10971, 547, 519, 1920, 267, 855, 849, 2813, 10477, 17234, 267, 20206, 6819, 9059, 538, 873, 269, 13689, 593, 519, 18707, 1031, 267, 519, 5958, 9715, 1585, 3601, 269, 1133, 639, 783, 12308, 338, 6039, 1256, 1354, 519, 4332, 540, 18939, 269, 21250, 656, 2021, 267, 609, 519, 948, 540, 519, 715, 1941, 267, 16668, 9589, 4191, 593, 519, 1570, 609, 741, 1973, 267, 1287, 519, 5958, 729, 14616, 267, 519, 607, 1127, 941, 6404, 609, 741, 5172, 4235, 543, 26583, 269, 769, 713, 1259, 267, 8825, 9059, 1223, 3914, 519, 10867, 547, 2327, 922, 2922, 8574, 883, 519, 1158, 563, 763, 31557, 941, 1634, 585, 741, 4262, 16831, 1137, 267, 8720, 5318, 9883, 593, 1930, 1216, 269, 2755, 10707, 971, 5318, 9883, 267, 789, 941, 5631, 11461, 676, 7943, 267, 519, 4287, 540, 519, 2842, 267, 519, 6329, 543, 519, 1350, 732, 540, 519, 6801, 269, 4014, 789, 941, 1360, 5827, 25501, 267, 741, 16831, 1137, 543, 30295, 941, 2417, 554, 2086, 1229, 676, 10053, 535, 9233, 610, 1360, 1419, 31063, 22839, 269, 7201, 971, 4365, 2175, 267, 11287, 519, 6607, 729, 12303, 7543, 269, 634, 12357, 3141, 7723, 540, 519, 3504, 31557, 6039, 607, 513, 4044, 1049, 6293, 269, 634, 7777, 568, 513, 3099, 540, 12001, 18287, 924, 267, 799, 666, 8237, 513, 1769, 18422, 269, 634, 3601, 540, 713, 6149, 2014, 519, 12627, 547, 1831, 4158, 610, 1769, 267, 4470, 593, 519, 26445, 540, 519, 1769, 602, 8813, 593, 621, 269, 25655, 25501, 1131, 1305, 18287, 924, 10007, 267, 609, 2312, 22839, 267, 547, 6952, 519, 7158, 540, 519, 3141, 607, 519, 12627, 6505, 2989, 269, 2311, 519, 4090, 519, 3141, 779, 12345, 535, 12184, 267, 789, 1131, 10956, 713, 2962, 267, 5275, 519, 1318, 4287, 689, 519, 18287, 924, 779, 10881, 563, 26123, 2564, 2853, 454, 763, 15831, 945, 729, 3743, 585, 7067, 543, 27955, 538, 3504, 22778, 807, 729, 661, 597, 269, 634, 31557, 2808, 1200, 835, 540, 519, 1655, 543, 1034, 4810, 12115, 619, 269, 2701, 6026, 543, 3838, 1200, 1702, 609, 2021, 945, 24714, 547, 948, 1200, 269, 634, 15831, 23163, 9543, 2409, 540, 7067, 269, 4438, 10108, 267, 1352, 11311, 12906, 7752, 2805, 267, 3905, 6149, 2527, 1137, 543, 8768, 3282, 5574, 269, 1280, 1200, 11955, 267, 1352, 1031, 9589, 11922, 689, 1114, 2694, 540, 519, 1158, 269, 634, 8912, 15324, 5574, 15538, 540, 12738, 269, 30785, 12596, 941, 4294, 610, 519, 1560, 729, 20109, 609, 993, 2544, 1206, 269, 21058, 13500, 941, 849, 3743, 585, 26349, 16398, 267, 2377, 531, 2719, 15319, 4703, 267, 6512, 1645, 267, 4259, 7633, 543, 12419, 9002, 269, 0, 763, 3778, 540, 24789, 13221, 538, 19109, 9369, 454, 313, 523, 13221, 568, 513, 1153, 540, 13221, 602, 11363, 9066, 543, 1463, 1995, 540, 21481, 269, 898, 12090, 538, 3624, 543, 729, 2663, 5189, 547, 3567, 538, 519, 476, 1321, 628, 2540, 269, 19109, 9369, 267, 519, 3504, 3854, 540, 3567, 267, 814, 513, 3638, 1686, 5702, 23091, 609, 24789, 13221, 269, 3509, 4583, 24789, 17633, 616, 4092, 538, 19109, 9369, 267, 1818, 621, 606, 4998, 10278, 585, 1346, 5461, 538, 3695, 713, 5289, 2245, 563, 3080, 540, 519, 1034, 9565, 5515, 538, 519, 1646, 540, 24789, 13221, 538, 19109, 9369, 729, 519, 31494, 661, 529, 2967, 269, 1261, 5189, 519, 681, 514, 345, 2967, 3392, 540, 24789, 13221, 547, 3567, 543, 8547, 26366, 514, 268, 10202, 267, 519, 9510, 24789, 11454, 538, 19109, 9369, 269, 634, 11454, 5170, 547, 581, 513, 4105, 4099, 540, 24789, 2259, 543, 568, 1930, 547, 8436, 945, 6999, 547, 1995, 24789, 9066, 543, 1451, 689, 4810, 3610, 563, 763, 14362, 540, 24789, 13221, 454, 313, 523, 13221, 6212, 593, 1463, 1995, 543, 20932, 2864, 982, 13461, 9003, 593, 7214, 1620, 269, 898, 7512, 2043, 547, 3605, 741, 3020, 2470, 998, 9066, 543, 11009, 269, 634, 10700, 3804, 540, 24789, 2259, 568, 547, 3035, 21481, 610, 521, 1807, 328, 267, 799, 568, 513, 1533, 540, 7096, 9355, 543, 1620, 563, 1103, 24789, 13221, 267, 9066, 568, 3844, 269, 31943, 619, 4497, 538, 1990, 1794, 523, 267, 513, 1106, 540, 27206, 9066, 1141, 789, 1445, 593, 741, 7362, 543, 7747, 741, 4555, 1510, 10385, 269, 3414, 5812, 2259, 267, 2043, 666, 1020, 513, 2620, 4527, 543, 4656, 602, 11498, 3564, 519, 9066, 31289, 543, 883, 741, 3232, 2729, 267, 7175, 873, 547, 1995, 519, 1158, 2047, 543, 1510, 13613, 563, 5194, 1883, 6240, 540, 24789, 13221, 568, 519, 1523, 540, 7962, 1465, 267, 610, 18665, 269, 2506, 696, 1465, 4016, 547, 519, 2856, 602, 782, 9259, 616, 10562, 543, 21739, 27507, 540, 5094, 267, 7915, 6228, 269, 1635, 9301, 519, 22524, 11163, 543, 6650, 2006, 775, 540, 782, 1919, 267, 24789, 9439, 666, 11349, 513, 2631, 540, 1875, 268, 706, 1275, 543, 19802, 689, 7092, 563, 293, 13904, 24789, 7843, 1255, 538, 19109, 9369, 454, 298, 344, 9369, 568, 1753, 547, 3875, 24789, 17633, 267, 1142, 609, 922, 2189, 1686, 543, 19259, 269, 2290, 540, 519, 1034, 4583, 24789, 17633, 538, 19109, 9369, 568, 667, 7159, 18602, 268, 10202, 269, 5853, 539, 538, 519, 476, 1691, 628, 2540, 267, 667, 7159, 18602, 268, 10202, 568, 513, 30832, 1782, 1950, 540, 17633, 543, 10651, 269, 634, 1950, 568, 513, 22471, 559, 522, 12118, 538, 519, 2295, 540, 19109, 9369, 267, 543, 922, 4224, 10651, 543, 7401, 8075, 616, 513, 15266, 547, 519, 24789, 12716, 563, 5194, 8037, 24789, 11454, 568, 1677, 325, 4157, 340, 268, 10202, 267, 1634, 585, 922, 11599, 17578, 9790, 5652, 334, 15167, 543, 4190, 15489, 16714, 269, 1677, 325, 4157, 340, 268, 10202, 3091, 24789, 9066, 7886, 585, 8436, 267, 3246, 606, 4316, 547, 1995, 519, 7096, 1869, 1145, 543, 22471, 1006, 602, 24789, 2259, 666, 3142, 563, 2690, 1346, 5461, 538, 24789, 30951, 267, 1744, 712, 514, 268, 10202, 13527, 3091, 11925, 1141, 8436, 666, 1451, 519, 1148, 540, 11453, 1740, 543, 2769, 741, 6418, 4555, 543, 4664, 998, 519, 2854, 2262, 563, 763, 11957, 540, 24789, 13221, 538, 7073, 5020, 454, 1103, 2221, 779, 3728, 19550, 543, 10562, 1158, 267, 24789, 13221, 3091, 513, 3407, 1884, 573, 1774, 547, 2566, 543, 771, 28947, 269, 634, 2259, 540, 9066, 543, 11009, 666, 948, 2043, 11349, 513, 2631, 540, 9350, 543, 9355, 9624, 519, 14784, 540, 4948, 1272, 269, 1635, 23646, 1524, 543, 1373, 4628, 1459, 267, 2043, 666, 1020, 513, 4514, 4656, 540, 2933, 543, 741, 10450, 563, 11101, 267, 519, 3741, 540, 24789, 13221, 267, 971, 607, 8296, 267, 1875, 31281, 16670, 267, 543, 10343, 267, 666, 3391, 2043, 538, 741, 3347, 609, 1866, 543, 609, 519, 1158, 693, 1804, 269, 24789, 11414, 721, 547, 9784, 6650, 2006, 775, 543, 547, 5660, 519, 5898, 538, 1142, 4090, 267, 5807, 14696, 543, 513, 2631, 540, 25872, 563, 16987, 1329, 1424, 24789, 13221, 538, 19109, 9369, 454, 2690, 1346, 5461, 538, 3695, 24789, 13221, 538, 19109, 9369, 267, 972, 616, 1896, 2081, 547, 23365, 13951, 538, 713, 3504, 5289, 2245, 269, 3509, 24789, 17633, 2709, 9066, 7886, 543, 11925, 585, 8436, 267, 3246, 606, 4316, 547, 1451, 689, 4810, 3610, 543, 9439, 269, 1452, 7886, 3335, 1331, 6044, 593, 14302, 267, 7244, 2553, 267, 543, 5583, 593, 519, 2259, 540, 11009, 563, 12234, 267, 19109, 9369, 3091, 1585, 24789, 18956, 338, 1141, 2043, 666, 6108, 513, 1906, 2395, 610, 4374, 2502, 538, 14021, 24789, 2259, 269, 1452, 18956, 338, 1419, 1331, 5712, 540, 14980, 9066, 267, 18497, 960, 267, 543, 20144, 12609, 12909, 676, 17055, 3610, 269, 1358, 1683, 513, 2189, 4316, 547, 15052, 835, 779, 1620, 540, 24789, 13221, 543, 547, 1995, 519, 13710, 1379, 540, 9066, 563, 14454, 267, 19109 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 5149, 476, 277, 281, 8865, 5525, 538, 5303, 543, 7177, 281, 589, 12213, 667, 633, 883, 14502, 5675, 692, 7072, 912, 20007, 673, 2792, 4249, 513, 4105, 1909, 538, 2221, 781, 3728, 19550, 1158, 540, 2029, 543, 4702, 269, 898, 5713, 607, 513, 8115, 1063, 1950, 6639, 10124, 543, 3755, 5275, 2312, 3137, 269, 901, 1770, 6212, 4481, 593, 2013, 2090, 1369, 519, 7706, 540, 2930, 1603, 267, 3850, 721, 547, 2263, 4052, 3156, 540, 891, 1983, 1247, 18167, 4514, 883, 519, 14960, 540, 14379, 2930, 1344, 3927, 780, 4089, 476, 272, 281, 4197, 8865, 5525, 692, 288, 2013, 1353, 568, 606, 10763, 6514, 540, 513, 1268, 267, 1895, 267, 2680, 267, 610, 3510, 269, 769, 938, 2796, 267, 621, 4016, 547, 3695, 1808, 8320, 1141, 2029, 814, 1044, 8045, 6707, 630, 528, 5667, 15471, 2685, 264, 543, 26819, 532, 519, 2188, 7700, 547, 922, 1764, 269, 1879, 4294, 547, 2930, 1603, 267, 2013, 2090, 1683, 6405, 2963, 540, 2500, 2792, 2994, 543, 4093, 780, 4089, 476, 273, 281, 634, 11957, 540, 7464, 21509, 6201, 538, 14502, 5675, 692, 18600, 8996, 1806, 948, 1118, 7493, 2035, 15889, 543, 11541, 269, 1635, 6220, 4143, 2665, 883, 707, 2930, 6054, 267, 596, 5512, 3988, 547, 9787, 2352, 2093, 811, 3362, 269, 5015, 267, 11744, 15334, 538, 7311, 7811, 1702, 547, 1483, 7653, 8591, 17258, 547, 707, 6791, 780, 4089, 476, 274, 281, 17291, 2672, 3386, 27418, 585, 5811, 692, 24400, 3617, 2665, 3340, 6297, 7156, 269, 3399, 676, 6998, 2055, 899, 281, 6496, 713, 1383, 9414, 1883, 3741, 1134, 286, 1772, 621, 11347, 540, 1455, 2591, 5185, 538, 1250, 2361, 286, 4024, 621, 13469, 609, 1250, 5497, 5304, 286, 5457, 267, 3309, 1806, 7794, 1565, 2833, 267, 865, 2015, 15386, 1312, 2318, 543, 2942, 4093, 780, 4089, 476, 275, 281, 13419, 1005, 2659, 8865, 5530, 692, 12024, 1022, 824, 4062, 540, 2930, 1603, 267, 2497, 6927, 269, 10670, 609, 513, 5618, 4367, 24152, 519, 3483, 543, 10083, 540, 519, 1353, 269, 7427, 713, 609, 513, 6609, 540, 519, 2796, 267, 1519, 3877, 827, 519, 1587, 267, 3028, 267, 610, 1062, 3238, 269, 8921, 267, 5659, 519, 1184, 6964, 267, 10223, 2565, 3664, 1500, 2059, 519, 1259, 269, 1230, 2850, 609, 18759, 593, 4245, 4121, 543, 1761, 2127, 585, 6454, 780, 4089, 476, 276, 281, 22718, 9442, 11150, 13242, 692, 2691, 10442, 513, 2013, 1353, 267, 2628, 1880, 3007, 547, 519, 2792, 2409, 1031, 269, 1215, 941, 1950, 2035, 6045, 286, 21518, 3308, 11226, 8246, 3927, 286, 12984, 519, 3159, 5812, 2429, 286, 14484, 532, 593, 891, 3344, 666, 2709, 3407, 4030, 883, 1655, 2853, 585, 2104, 4704, 780, 4089, 476, 277, 281, 7351, 12367, 543, 10241, 538, 15306, 5675, 8865, 5525, 692, 2026, 6080, 11457, 267, 865, 798, 519, 7569, 5116, 2390, 2930, 5830, 269, 13773, 8242, 609, 2872, 7835, 543, 6451, 6932, 4798, 883, 707, 3450, 269, 1280, 3236, 267, 3584, 971, 607, 3593, 1995, 1374, 267, 26227, 16097, 267, 543, 5841, 4987, 616, 5051, 1271, 538, 4207, 2930, 10618, 780, 1103, 3932, 267, 10128, 2013, 2090, 883, 707, 2930, 1603, 6437, 2488, 3255, 585, 2502, 6267, 609, 4052, 3156, 540, 3069, 269, 3414, 9836, 2079, 540, 3811, 630, 663, 1447, 982, 3811, 264, 1806, 267, 1053, 2744, 1898, 1983, 2556, 547, 14133, 538, 519, 2479, 19145, 5251, 540, 2029, 543, 4702, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2252, 596, 616, 593, 519, 1413, 719, 585, 930, 1390, 2930, 1603, 6030, 538, 10854, 531, 648, 267, 596, 723, 15354, 593, 519, 1318, 2985, 269, 3689, 1919, 1101, 256, 1548, 568, 2930, 1603, 267, 543, 1946, 568, 621, 11543, 2956, 538, 519, 1459, 1554, 543, 2085, 286, 14502, 1603, 568, 10063, 1424, 3157, 543, 32262, 538, 513, 16866, 6073, 971, 602, 4896, 945, 14509, 621, 17358, 5103, 621, 1373, 2029, 5829, 269, 2859, 3274, 2322, 267, 621, 568, 519, 8840, 1524, 540, 7294, 10509, 3822, 883, 513, 5467, 268, 16187, 762, 1893, 269, 1403, 713, 568, 707, 7484, 540, 7401, 267, 1491, 621, 547, 519, 3318, 1377, 676, 679, 13764, 538, 2930, 1603, 6030, 538, 10854, 531, 648, 563, 763, 4473, 538, 2029, 3549, 849, 3947, 4473, 547, 513, 3747, 585, 2930, 5830, 269, 2353, 10509, 3549, 11441, 547, 3132, 606, 4977, 2943, 3551, 7664, 540, 875, 741, 2472, 543, 2533, 7500, 269, 8307, 952, 1004, 1174, 519, 2472, 543, 2533, 543, 741, 28252, 786, 789, 4444, 519, 1482, 267, 543, 1152, 952, 789, 4444, 666, 519, 4213, 8011, 563, 12648, 267, 585, 3236, 267, 707, 11067, 544, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 19111, 5525, 257, 607, 851, 540, 834, 31900, 1299, 22957, 1315, 14502, 5675, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 5149, 476, 277, 281, 1234, 9690, 26579, 13809, 630, 305, 12195, 264, 910, 19484, 519, 16508, 543, 6481, 13216, 885, 692, 7072, 912, 13434, 584, 1370, 6379, 2530, 630, 305, 12195, 1070, 849, 1634, 607, 20443, 31761, 267, 5540, 5111, 476, 272, 268, 273, 260, 540, 15185, 3843, 547, 32230, 630, 4537, 1695, 710, 267, 476, 1001, 279, 1040, 901, 25031, 4641, 6770, 827, 3929, 24187, 543, 1950, 2564, 2055, 4478, 681, 12195, 781, 3123, 543, 5574, 269, 1306, 2104, 3782, 4648, 267, 11543, 5813, 883, 713, 4101, 2783, 786, 5512, 721, 547, 1683, 28450, 1416, 1247, 9363, 5483, 540, 6932, 1382, 543, 7459, 780, 4089, 476, 272, 281, 4197, 681, 12195, 910, 20223, 6206, 16301, 543, 2776, 28700, 692, 305, 12195, 4016, 547, 1079, 610, 811, 15654, 6379, 9271, 1354, 476, 736, 4374, 32460, 269, 898, 666, 2049, 1813, 547, 4719, 267, 17441, 267, 6375, 11043, 267, 543, 2825, 2188, 267, 1851, 1866, 630, 20797, 9730, 540, 519, 1977, 5980, 585, 3115, 8793, 6925, 267, 476, 1001, 280, 1040, 634, 5626, 1764, 540, 7680, 2789, 26674, 17699, 11562, 1218, 3007, 7258, 922, 4791, 3344, 780, 4089, 476, 273, 281, 16723, 12186, 540, 681, 12195, 910, 589, 1849, 29141, 6733, 693, 717, 4361, 543, 10515, 532, 11150, 692, 294, 4471, 1324, 1739, 513, 31761, 1419, 3322, 5933, 971, 607, 24677, 267, 10845, 267, 29541, 267, 4965, 267, 543, 10343, 630, 298, 6686, 321, 2401, 7304, 1601, 267, 476, 3422, 280, 1040, 1717, 267, 10188, 16236, 1310, 20422, 9271, 949, 4125, 2189, 2591, 8506, 3358, 12003, 2994, 269, 18964, 2550, 547, 3343, 3318, 13508, 267, 6443, 1489, 2516, 267, 4497, 538, 11009, 2853, 267, 543, 2263, 22192, 1603, 616, 930, 2081, 789, 1522, 1184, 741, 4664, 3927, 630, 290, 965, 4802, 1696, 620, 1421, 476, 1001, 275, 6393, 4089, 476, 274, 281, 10289, 7351, 3194, 543, 9615, 18169, 585, 681, 12195, 692, 4407, 972, 568, 5571, 7521, 3823, 6099, 4152, 10873, 543, 2126, 6620, 585, 681, 12195, 267, 1896, 9621, 18817, 2291, 269, 1452, 1331, 28720, 1970, 1673, 846, 29469, 543, 1322, 6856, 821, 21455, 1282, 2038, 6379, 267, 10442, 1761, 24405, 17232, 5362, 630, 29188, 32378, 4713, 1070, 14236, 4761, 1062, 12150, 885, 899, 1884, 13023, 6664, 30649, 573, 6794, 267, 543, 9606, 10095, 2079, 540, 1312, 4891, 630, 20797, 9730, 540, 519, 1977, 5980, 585, 3115, 8793, 6925, 267, 476, 1001, 280, 6393, 19111, 5530, 281, 8861, 781, 9452, 692, 27880, 267, 513, 476, 3374, 4458, 6040, 4807, 267, 814, 4810, 1614, 15654, 26674, 17699, 1369, 519, 2250, 1032, 269, 2701, 7959, 9678, 543, 16397, 676, 1200, 16236, 267, 10010, 547, 10146, 1946, 1352, 3112, 2226, 513, 2635, 6379, 5103, 1373, 6382, 2635, 269, 1635, 3695, 2139, 2200, 543, 5275, 4274, 5796, 267, 8861, 2377, 10225, 593, 513, 2619, 2509, 7067, 543, 4466, 4267, 269, 4173, 1650, 19156, 519, 2956, 540, 3246, 17519, 267, 25191, 1416, 585, 1346, 4299, 676, 681, 12195, 780, 6962, 1384, 32382, 20443, 6379, 2530, 3340, 8417, 267, 9639, 267, 543, 2963, 2861, 2259, 269, 16195, 7426, 1590, 2611, 18164, 827, 6932, 1382, 543, 5499, 4485, 547, 2232, 519, 15491, 2470, 540, 681, 12195, 269, 5015, 267, 14344, 543, 5466, 519, 7096, 3929, 17167, 2404, 609, 7368, 9271, 3788, 2629, 538, 5885, 2550, 2429, 741, 12680, 15322, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 300, 4593, 541, 5846, 30365, 281, 15531, 1290, 3228, 538, 519, 18838, 6478, 454, 16987, 1329, 1424, 513, 31761, 568, 513, 13249, 267, 2295, 2914, 3402, 532, 1995, 282, 952, 596, 4076, 4810, 513, 31761, 610, 1869, 19689, 267, 621, 779, 2693, 596, 3580, 581, 10478, 585, 4313, 267, 1489, 267, 513, 4743, 602, 596, 2461, 711, 4805, 543, 4126, 269, 2755, 1100, 1272, 610, 3460, 1310, 513, 31761, 568, 519, 1482, 267, 1082, 1265, 4313, 543, 4126, 998, 519, 9275, 1913, 540, 1346, 945, 723, 13974, 11124, 513, 2530, 563, 19350, 649, 723, 10356, 513, 1297, 540, 938, 5172, 31761, 10530, 269, 1284, 4126, 891, 31761, 10530, 948, 8956, 707, 2530, 267, 3142, 596, 4708, 267, 543, 948, 596, 5431, 602, 707, 22774, 4816, 568, 1318, 1472, 519, 7944, 269, 3509, 2021, 3442, 547, 2328, 891, 1524, 538, 741, 24990, 267, 1711, 513, 3774, 17549, 585, 741, 6049, 267, 610, 2022, 513, 20202, 4063, 593, 741, 19880, 11604, 609, 741, 5172, 10530, 269, 7316, 591, 596, 1265, 3054, 10478, 585, 513, 3787, 540, 4313, 267, 581, 2386, 547, 4734, 606, 10575, 14823, 5048, 585, 3054, 2336, 300, 4593, 541, 5846, 30365, 1677, 3816, 785, 1411, 2659, 19664, 5455, 26361, 4024, 11408, 2142, 2060, 1411, 454, 2108, 306, 558, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 13434, 584, 1370, 26579, 13809, 630, 305, 12195, 17983, 607, 851, 540, 834, 4047, 22483, 1299, 32362, 1315, 674, 19910, 1299, 5606, 19910, 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 ]
[ 543, 849, 519, 1344, 1062, 602, 5892, 6818, 563, 13295, 519, 7778, 540, 721, 827, 1702, 2359, 269, 9122, 593, 519, 7778, 1657, 267, 649, 666, 2721, 519, 3932, 602, 11310, 5004, 568, 513, 3126, 540, 2645, 267, 2994, 543, 2409, 547, 2226, 267, 5659, 267, 10891, 267, 15814, 543, 849, 2087, 519, 1344, 8659, 538, 513, 2754, 563, 1103, 2489, 267, 519, 3483, 540, 11310, 5004, 568, 547, 2087, 519, 4398, 540, 519, 2754, 543, 849, 4558, 519, 1702, 8659, 1369, 519, 2754, 3294, 563, 15447, 1578, 5004, 538, 519, 2754, 1281, 711, 9101, 689, 26084, 2883, 5359, 543, 782, 1239, 538, 621, 1590, 581, 12261, 609, 1893, 602, 568, 2653, 547, 1174, 676, 1866, 563, 1103, 1931, 585, 707, 1870, 547, 1332, 543, 2333, 519, 1297, 540, 5561, 596, 1810, 1406, 7340, 547, 14441, 998, 519, 31530, 1375, 344, 589, 1091, 3028, 267, 596, 666, 1376, 676, 10229, 707, 1587, 267, 865, 602, 2663, 596, 666, 2087, 8436, 538, 707, 2228, 1870, 22045, 269, 674, 4629, 31769, 312, 5084, 306, 568, 606, 2228, 10229, 3028, 602, 666, 948, 596, 1852, 782, 707, 1587, 11044, 269, 29452, 596, 3077, 519, 13389, 3077, 596, 1616, 543, 2285, 596, 1082, 5079, 547, 2344, 707, 1587, 269, 0, 9213, 538, 3778, 1107, 5181, 476, 273, 454, 4002, 5181, 476, 273, 267, 476, 6642, 276, 267, 513, 4254, 540, 3043, 5755, 19379, 16091, 741, 4457, 1071, 22086, 619, 630, 18485, 2516, 941, 6964, 676, 519, 5742, 7414, 15021, 7577, 264, 538, 9412, 25951, 267, 29131, 24540, 267, 936, 513, 15539, 593, 945, 1185, 519, 1318, 547, 960, 538, 513, 3226, 29988, 1858, 540, 519, 9553, 269, 15566, 2542, 563, 4002, 5181, 476, 273, 267, 476, 4350, 276, 267, 6723, 717, 619, 327, 7773, 9896, 1010, 2012, 547, 519, 6192, 19762, 560, 1537, 6060, 540, 519, 22968, 267, 623, 3073, 344, 543, 645, 612, 269, 15566, 2542, 563, 12812, 1934, 547, 3406, 4653, 538, 3778, 585, 824, 8978, 8090, 269, 0, 296, 991, 1489, 609, 713, 7489, 5525, 2243, 865, 594, 666, 1451, 1732, 269, 3503, 513, 2689, 540, 519, 2542, 29849, 543, 16441, 18738, 31072, 25590, 520, 1144, 21976, 281, 476, 7742, 266, 1923, 1547, 25269, 3758, 2969, 307, 21815, 300, 19006, 332, 2117, 639, 318, 663, 6831, 1156, 318, 1231, 728, 318, 719, 2515, 15220, 514, 520, 1144, 15005, 454, 9288, 5501, 519, 4287, 540, 1689, 538, 835, 4756, 607, 519, 824, 4756, 4679, 610, 11081, 563, 7628, 713, 1576, 649, 723, 5059, 593, 519, 2078, 540, 835, 4756, 609, 1776, 269, 8921, 3018, 267, 649, 786, 2268, 519, 4287, 540, 1689, 538, 835, 4756, 607, 519, 824, 4756, 4679, 610, 11081, 269, 1280, 7151, 281, 1284, 1522, 1179, 3634, 602, 519, 946, 540, 1072, 2533, 4679, 607, 519, 10368, 2783, 3587, 811, 1950, 610, 4049, 269, 769, 713, 3510, 267, 519, 1445, 568, 593, 519, 7681, 540, 1072, 2533, 8957, 10368, 2783, 563, 2791, 616, 547, 1459, 606, 1383, 540, 3347, 538, 8579, 1239, 9382, 269, 901, 568, 606, 1898, 2259, 538, 1082, 3029, 540, 2359, 269, 3973, 4431, 547, 476, 273, 15032, 685, 1806, 16208, 741, 2078, 1063, 1079, 4632, 538, 707, 1378, 1272, 563, 7078, 281, 5403, 1107, 14597, 602, 606, 23070, 540, 513, 1279, 3856, 1416, 9744, 568, 5461, 538, 519, 7681, 1063, 2698, 3790, 543, 519, 4320, 540, 1416, 267, 6027, 676, 519, 1297, 540, 5127, 2395, 540, 3028, 3177, 1282, 1142, 3923, 540, 519, 2250, 1032, 8796, 269, 596, 1287, 4431, 602, 596, 666, 1294, 875, 950, 513, 13113, 4199, 568, 1031, 267, 17756, 723, 547, 581, 1500, 538, 707, 960, 543, 1287, 2285, 606, 1383, 269, 0, 5353, 320, 594, 341, 800, 568, 519, 1152, 7499, 4739, 1303, 516, 21215, 538, 519, 1158, 547, 1711, 9925, 1564, 689, 4262, 32334, 563, 1805, 25973, 517, 32334, 2501, 689, 519, 973, 10967, 566, 540, 519, 3109, 588, 25973, 517, 10253, 602, 6004, 269, 7354, 2946, 5632, 4991, 689, 519, 29940, 540, 519, 5045, 5032, 540, 519, 853, 6441, 320, 675, 660, 5757, 267, 3148, 540, 8053, 332, 1725, 344, 267, 538, 519, 11662, 540, 20563, 267, 4516, 269, 1358, 6133, 519, 17145, 540, 519, 3165, 593, 519, 2199, 2344, 269, 901, 32334, 814, 519, 1482, 26543, 2497, 607, 9267, 6350, 610, 17707, 512, 23677, 630, 290, 1068, 1881, 676, 20563, 700, 10052, 2160, 1916, 303, 566, 2299, 23816, 540, 519, 4262, 543, 922, 29667, 344, 267, 646, 4362, 513, 1259, 547, 22120, 519, 4336, 540, 519, 588, 25973, 517, 3165, 563, 763, 588, 25973, 517, 568, 513, 22300, 3165, 540, 476, 7742, 2929, 1296, 2025, 267, 4171, 14931, 10068, 568, 4847, 1152, 538, 713, 1880, 1858, 540, 519, 12142, 19846, 660, 5757, 630, 2568, 260, 540, 519, 1158, 10068, 1040, 1703, 616, 476, 1911, 10253, 593, 513, 588, 25973, 517, 269, 769, 1249, 267, 519, 588, 25973, 517, 10253, 616, 1572, 16938, 546, 1069, 531, 10824, 14872, 543, 1106, 593, 519, 3165, 513, 4027, 1996, 11975, 267, 799, 15868, 519, 6668, 540, 519, 3165, 1510, 1022, 1689, 593, 1010, 1610, 542, 3912, 563, 1805, 25973, 517, 32334, 9380, 528, 585, 476, 1789, 1296, 267, 1656, 28584, 7354, 2946, 5632, 267, 8385, 689, 27292, 267, 814, 1020, 6244, 713, 2027, 4480, 1247, 2713, 769, 717, 5684, 525, 773, 563, 763, 7376, 814, 519, 10516, 547, 2981, 713, 8821, 601, 2339, 540, 519, 4262, 269, 1323, 5667, 639, 4624, 14951, 282, 513, 2189, 13049, 563, 300, 1897, 540, 1230, 572, 559, 964, 544, 18863, 4536, 546, 262, 11301, 5918, 2372, 2946, 13069, 0, 290, 27641, 29986, 6096, 31098, 454, 11767, 519, 1913, 596, 1616, 547, 2259, 609, 538, 519, 1804, 1257, 4216, 2630, 267, 835, 593, 1142, 1899, 269, 10251, 267, 649, 1810, 1406, 723, 519, 2029, 547, 1039, 25777, 23935, 547, 18638, 610, 11097, 12033, 267, 1519, 519, 13002, 6656, 17082, 563, 5445, 1223, 1404, 3756, 538, 519, 21543, 899, 2338, 6474, 3756, 543, 9904, 13410, 543, 25777, 1603, 4976, 11718, 4732, 1276, 7899, 540, 1187, 789, 666, 723, 543, 2995, 835, 824, 3214, 563, 290, 27641, 13002, 3211, 11718, 269, 476, 7367, 32263, 1362, 476, 272, 13004, 4976, 8666, 2093, 269, 15026, 25777, 13002, 4976, 11718, 666, 581, 1031, 676, 4896, 693, 707, 1753, 585, 4051, 532, 543, 1620, 6662, 269, 901, 4976, 568, 1869, 896, 1646, 563, 293, 2632, 666, 581, 10250, 762, 15956, 610, 17860, 7291, 13944, 269, 634, 2629, 3804, 540, 891, 3211, 568, 547, 2709, 513, 4543, 1688, 547, 519, 27466, 525, 543, 547, 2087, 741, 27466, 324, 779, 2773, 269, 634, 25777, 13002, 2511, 568, 6198, 543, 5497, 547, 581, 1031, 585, 4948, 1603, 563, 11243, 16439, 4976, 20536, 3211, 585, 476, 272, 560, 3446, 1514, 588, 340, 521, 269, 28064, 649, 1683, 519, 5767, 9904, 3211, 1934, 971, 607, 562, 15625, 13002, 3211, 7792, 269, 5192, 1863, 9904, 3211, 689, 513, 547, 1990, 1934, 2336, 2791, 666, 1711, 10145, 2259, 3515, 609, 10145, 3515, 538, 519, 1257, 4216, 4700, 3776, 4359, 13002, 4976, 1907, 267, 4352, 9875, 547, 946, 267, 2636, 596, 547, 1711, 1022, 13002, 4976, 596, 666, 4952, 269, 2859, 25777, 1603, 3211, 476, 278, 18502, 563, 19530, 762, 25777, 13002, 25777, 4945, 1934, 547, 4647, 707, 1923, 7792, 25777, 13002, 4976, 11718, 267, 2707, 3239, 281, 11588, 540, 13002, 2259, 1331, 2799, 2634, 11852, 543, 4824, 2773, 2066, 782, 4081, 5396, 269, 14825, 5597, 1118, 10875, 13002, 3211, 9494, 596, 3108, 540, 942, 2336, 1607, 11718, 13071, 596, 1711, 13002, 2259, 9212, 609, 519, 1257, 596, 1683, 269, 1411, 666, 1287, 1820, 707, 4976, 585, 269, 6657, 1603, 1913, 538, 25777, 676, 16439, 563, 13911, 543, 4585, 12297, 10250, 5022, 4012, 1227, 2408, 593, 707, 13002, 4976, 269, 595, 27641, 13002, 11718, 16776, 2433, 901, 568, 835, 7662, 649, 4309, 3592, 12353, 2336, 290, 27641, 543, 1820, 13002, 585, 3214, 269, 8437, 593, 519, 1820, 1863, 13002, 4976, 7735, 269, 16707, 949, 581, 8678, 610, 796, 14765, 1441, 563, 1607, 2985, 2636, 596, 547, 1711, 513, 4976, 540, 1257, 585, 25777, 1603, 2259, 269, 589, 14634, 538, 25777, 1603, 4976, 2029, 596, 666, 1631, 1118, 3501, 25777, 1603, 3211, 593, 707, 2780, 538, 7643, 256, 9373, 519, 1257, 596, 1616, 547, 581, 593, 519, 2985, 538, 519, 1804, 4216, 2630, 267, 543, 621, 786, 581, 21235, 1210, 2757, 25777, 4484, 532, 563, 290, 27641, 13002, 27412, 476, 7906, 25777, 13002, 11718, 4605, 2093, 476, 7918, 12377, 13002, 8666, 4943, 725, 269, 6258, 13002, 543, 4050, 26206, 609, 938, 25777, 1603, 3211, 269, 4746, 1689, 4484, 2450, 267, 4484, 2681, 267, 1899, 2681, 543, 1256, 2681, 540, 4287, 21985, 563, 4322, 960, 9248, 616, 4998, 585, 519, 1079, 3214, 543, 6738, 5725, 547, 8415, 269, 13317, 1436, 3652, 543, 3854, 1436, 3211, 814, 513, 1592, 609, 519, 3652, 540, 3854, 1436, 269, 595, 27641, 13944, 1299, 13002, 1257, 11718, 563, 3080, 1907, 2636, 596, 547, 1711, 13002, 3211, 689, 513, 10959, 267, 607, 3254, 1934, 269, 29986, 2259, 3211, 1500, 676, 596, 256, 3776, 1863, 267, 7792, 13002, 3211, 1683, 2259, 1603, 25777, 5022, 267, 1913, 543, 5220, 563, 2414, 12744, 610, 1820, 513, 13002, 4976, 281, 5192, 1863, 9904, 3211, 689, 513, 547, 1990, 1934, 256, 1358, 666, 1404, 3756, 538, 519, 21543, 899, 2338, 6474, 3756, 543, 9904, 13410, 543, 25777, 1603, 2012, 11718, 4732, 1276, 513, 2603, 540, 1187, 789, 1223, 723, 543, 2671, 609, 835, 824, 3214, 563, 290, 27641, 23935, 17932, 519, 2511, 540, 1480, 4050, 26206, 1141, 519, 5022, 2095, 1927, 269, 1411, 3513, 1265, 1082, 811, 25777, 1603, 3211, 609, 938, 8239, 267, 13002, 267, 543, 9904, 3211, 1934, 1034, 540, 799, 849, 723, 1820, 13002, 3211, 269, 6657, 1603, 1913, 538, 3044, 25777, 269, 0, 8649, 601, 773, 681, 3912, 5130, 476, 2420, 267, 476, 1708, 272, 7801, 3817, 454, 4002, 519, 6587, 9251, 19920, 602, 616, 4843, 547, 971, 2241, 1565, 2268, 602, 2306, 1919, 4241, 543, 12863, 585, 873, 547, 2015, 267, 789, 1332, 1732, 13215, 5759, 543, 5660, 16565, 782, 998, 1272, 269, 634, 5022, 538, 1931, 538, 13085, 543, 9709, 2553, 948, 2285, 1239, 513, 2603, 3432, 1512, 543, 12863, 547, 519, 19920, 543, 7668, 873, 547, 9305, 610, 1451, 1919, 1510, 1022, 1966, 563, 24058, 338, 4217, 873, 609, 8066, 543, 973, 565, 937, 5751, 25009, 269, 898, 10123, 9388, 609, 11913, 3765, 23890, 543, 2417, 3467, 2306, 543, 6585, 741, 5413, 538, 513, 1808, 3635, 269, 898, 568, 5781, 1767, 602, 1004, 267, 3226, 3214, 786, 538, 2489, 11291, 476, 1015, 260, 540, 1018, 789, 5873, 267, 3368, 540, 1018, 789, 1294, 267, 543, 476, 3199, 260, 540, 1018, 789, 1294, 543, 798, 269, 901, 896, 6050, 519, 4644, 540, 3308, 10274, 538, 1565, 543, 6454, 540, 1453, 563, 21953, 267, 519, 5022, 538, 1931, 27864, 3817, 799, 13173, 4566, 543, 2370, 12400, 899, 17175, 27864, 3615, 1118, 621, 2241, 585, 873, 547, 11291, 519, 1913, 269, 2311, 519, 1448, 950, 11313, 295, 585, 623, 3415, 610, 5851, 610, 5600, 685, 568, 4448, 609, 5961, 610, 5373, 540, 519, 4930, 267, 789, 1589, 602, 922, 10578, 543, 993, 6748, 543, 11291, 6385, 269, 13966, 891, 3515, 713, 568, 835, 4105, 5413, 602, 596, 1205, 689, 5022, 538, 1931, 27864, 3817, 563, 5472, 519, 3159, 4882, 753, 27864, 9102, 4484, 1305, 27864, 3817, 666, 581, 8246, 607, 6029, 948, 267, 2866, 1397, 7333, 1676, 267, 1374, 11623, 540, 707, 3214, 267, 1688, 18705, 4484, 1305, 18849, 267, 27864, 1433, 543, 2417, 3467, 1888, 4484, 1305, 27864, 1433, 269, 634, 4484, 5036, 689, 519, 9102, 3817, 666, 581, 30000, 883, 4909, 5546, 849, 547, 1118, 5065, 569, 9112, 13410, 585, 1818, 7634, 540, 4484, 5036, 12517, 4241, 563, 274, 269, 8555, 1407, 7435, 547, 16685, 18509, 1588, 269, 2691, 19920, 616, 5356, 5961, 547, 27864, 267, 789, 6157, 786, 3180, 519, 2250, 601, 543, 1169, 2899, 538, 513, 1247, 786, 2638, 1018, 789, 723, 2944, 607, 971, 2484, 267, 547, 6430, 519, 1739, 3159, 547, 8415, 269, 1452, 5751, 786, 948, 873, 11104, 3585, 538, 741, 9787, 543, 3750, 11558, 269, 1358, 11338, 991, 547, 2327, 602, 519, 18565, 3085, 1406, 979, 2250, 519, 3339, 1899, 543, 616, 2877, 547, 24917, 519, 2250, 1564, 1631, 543, 1586, 563, 26794, 540, 9001, 5022, 538, 1931, 27864, 3817, 2252, 596, 723, 7193, 267, 17002, 543, 1357, 693, 707, 1753, 596, 1810, 1406, 991, 547, 6108, 593, 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 ]
[ 1405, 2141, 3858, 593, 1271, 6927, 269, 6884, 789, 3893, 865, 9575, 909, 538, 7440, 602, 789, 29709, 827, 796, 4328, 2418, 899, 2648, 543, 8296, 2509, 20231, 23671, 267, 1519, 7087, 3283, 780, 4913, 267, 5103, 891, 22195, 267, 3646, 547, 3142, 3309, 4525, 6251, 543, 6536, 5188, 2799, 1282, 713, 1974, 269, 1280, 3236, 267, 5939, 19771, 2968, 28125, 267, 17935, 547, 1265, 3838, 2666, 1851, 10271, 269, 12846, 267, 513, 5963, 8087, 8225, 5939, 9327, 1405, 2097, 883, 1373, 2394, 1454, 2663, 267, 5176, 8938, 1296, 1524, 519, 1899, 780, 4089, 476, 274, 281, 15348, 1299, 5295, 18868, 454, 4263, 713, 1448, 538, 1686, 267, 8567, 4371, 1713, 32022, 936, 2797, 3664, 269, 7971, 5974, 1419, 4857, 607, 10271, 267, 12018, 4031, 543, 4507, 2687, 547, 741, 4978, 269, 19759, 569, 267, 713, 3006, 8507, 538, 15490, 2126, 540, 1346, 3544, 13416, 8567, 267, 3226, 7133, 7087, 24447, 28148, 780, 13914, 540, 621, 899, 4730, 707, 5172, 7328, 609, 2319, 10863, 945, 1589, 789, 917, 1655, 543, 1810, 1405, 6432, 547, 824, 5716, 262, 8369, 269, 898, 7012, 1405, 4010, 4023, 1404, 267, 1318, 286, 6684, 267, 17528, 547, 2015, 7087, 5380, 3366, 547, 21390, 267, 7745, 14767, 267, 543, 2269, 1441, 3347, 1063, 13896, 543, 3689, 8315, 780, 6962, 912, 18698, 4516, 781, 2250, 2337, 721, 1451, 3407, 4245, 827, 13784, 267, 6568, 267, 543, 5698, 269, 1635, 9301, 2250, 9073, 267, 2523, 3823, 7087, 2924, 543, 6041, 267, 649, 666, 11441, 585, 6454, 2221, 269, 5457, 267, 1169, 1650, 814, 2789, 16752, 282, 1577, 781, 1832, 1565, 543, 6947, 547, 1142, 824, 267, 14120, 1312, 938, 10486, 543, 3604, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3528, 6276, 14977, 2401, 21662, 517, 267, 12854, 454, 763, 1296, 476, 6245, 280, 268, 5002, 273, 616, 606, 538, 1532, 15277, 942, 538, 8225, 3909, 1686, 4502, 6236, 269, 901, 729, 513, 942, 540, 4182, 2679, 896, 519, 1395, 32304, 540, 4516, 607, 513, 968, 291, 7631, 542, 892, 2443, 513, 3483, 2685, 13400, 2165, 5189, 676, 15182, 731, 570, 559, 2917, 538, 476, 5908, 277, 1310, 1010, 2542, 540, 25360, 332, 476, 7761, 269, 634, 2856, 4516, 1058, 581, 513, 2696, 3620, 517, 28666, 18067, 542, 689, 4262, 547, 4262, 896, 326, 2273, 539, 1034, 27685, 673, 1514, 15024, 543, 3084, 3853, 693, 713, 942, 269, 7388, 1540, 936, 513, 8717, 4505, 267, 519, 16456, 19443, 538, 4182, 20671, 17050, 676, 796, 1746, 543, 3395, 3875, 27685, 673, 3444, 28029, 787, 1295, 31559, 269, 1717, 267, 891, 1753, 13485, 941, 849, 12735, 4240, 676, 6237, 3359, 267, 1135, 640, 2152, 267, 543, 24396, 3604, 799, 21616, 3084, 543, 12030, 1049, 22122, 269, 769, 519, 12687, 540, 32700, 267, 5939, 2679, 543, 3235, 18210, 673, 7391, 941, 593, 519, 4473, 267, 855, 713, 729, 1869, 1079, 5756, 1354, 519, 5250, 540, 519, 2136, 5783, 540, 4516, 269, 901, 729, 513, 942, 540, 17557, 27166, 538, 6214, 267, 2943, 6970, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 29378, 24447, 262, 3778, 257, 607, 851, 540, 834, 19615, 1315, 4516, 1315, 2776, 268, 18183, 539, 3130, 630, 1729, 476, 5908, 278, 29215, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 23114, 8804, 568, 835, 540, 519, 1034, 1271, 1983, 538, 1272, 269, 15080, 538, 713, 7121, 2263, 1585, 2081, 547, 4688, 2724, 267, 6578, 585, 9276, 267, 543, 5965, 585, 513, 20019, 5150, 2104, 269, 6787, 596, 616, 513, 2875, 610, 606, 2937, 267, 2123, 8804, 568, 10858, 547, 3025, 269, 898, 666, 581, 4101, 547, 6330, 707, 1259, 998, 25937, 9204, 610, 6679, 16468, 6589, 267, 855, 609, 519, 1379, 540, 7623, 1719, 267, 4358, 1762, 666, 948, 596, 547, 5595, 610, 1256, 17784, 707, 2724, 538, 519, 2104, 2336, 28317, 29784, 10710, 568, 513, 29784, 12236, 7536, 2108, 292, 7568, 607, 1454, 607, 596, 666, 267, 4688, 607, 1454, 607, 596, 666, 267, 1902, 607, 1454, 607, 596, 666, 267, 2285, 607, 1454, 607, 596, 666, 3034, 290, 2401, 545, 267, 31188, 1014, 267, 27685, 626, 454, 18439, 12286, 4930, 454, 3528, 2441, 328, 19159, 454, 2108, 26668, 856, 540, 3670, 4892, 1118, 20949, 16306, 543, 476, 736, 260, 945, 723, 8854, 713, 8905, 16153, 547, 7836, 1269, 272, 267, 1822, 610, 811, 593, 513, 627, 574, 1848, 6258, 1007, 4388, 547, 2061, 936, 4944, 2056, 543, 1376, 9494, 563, 1692, 15894, 2052, 18748, 1411, 2991, 5441, 454, 3528, 966, 571, 329, 623, 926, 16223, 454, 25444, 779, 4862, 540, 5491, 269, 1717, 267, 596, 1522, 1616, 547, 2015, 2679, 909, 707, 5491, 6060, 4166, 607, 621, 786, 3310, 707, 25046, 585, 12029, 267, 1719, 3928, 267, 543, 811, 269, 6258, 811, 2221, 563, 1432, 568, 519, 11038, 8892, 540, 7085, 3317, 10118, 888, 3528, 15776, 12340, 21701, 454, 3674, 621, 2731, 519, 13337, 540, 519, 7820, 5481, 950, 621, 2501, 547, 741, 22672, 1652, 7836, 286, 1548, 666, 948, 1628, 2883, 6617, 585, 938, 7820, 5481, 286, 6258, 811, 1934, 269, 0, 1692, 547, 5269, 16907, 1314, 24083, 1023, 454, 4415, 1175, 513, 1906, 2241, 5820, 543, 835, 4739, 344, 4603, 596, 666, 1118, 4190, 8141, 569, 2295, 11057, 610, 23788, 269, 17828, 585, 4406, 550, 1149, 4303, 23598, 269, 4279, 3214, 4739, 269, 28799, 14495, 1216, 543, 18664, 1314, 543, 4585, 621, 16358, 1125, 16074, 563, 3963, 1772, 634, 21708, 9791, 286, 11822, 3163, 630, 21581, 994, 26594, 2257, 4603, 543, 3137, 585, 519, 5929, 2243, 593, 2067, 7613, 4534, 4208, 568, 519, 6607, 4544, 585, 3214, 563, 2791, 10261, 547, 8347, 1452, 7177, 11242, 585, 8866, 454, 25811, 1359, 2238, 585, 3214, 602, 786, 1205, 741, 12058, 543, 4703, 3001, 256, 3400, 321, 513, 1863, 4702, 4161, 7792, 585, 1256, 811, 13241, 1187, 563, 3963, 3657, 6129, 338, 1115, 4414, 21060, 286, 3163, 15331, 1923, 13241, 630, 21581, 994, 10501, 1190, 1946, 519, 6607, 2242, 2681, 693, 23863, 286, 901, 2241, 4603, 9727, 875, 602, 4523, 269, 8073, 707, 1378, 23863, 538, 513, 4837, 2336, 1607, 6656, 3947, 519, 12596, 585, 519, 13937, 16572, 269, 10790, 269, 280, 268, 1321, 13034, 6347, 268, 4338, 305, 5861, 910, 1496, 5141, 13831, 15048, 316, 910, 2422, 9971, 9163, 547, 4194, 2042, 476, 271, 343, 10790, 269, 280, 268, 1321, 13034, 6347, 268, 4338, 305, 269, 275, 910, 28171, 9971, 9163, 543, 946, 873, 547, 4766, 10230, 3347, 563, 6124, 31745, 528, 932, 11301, 454, 1692, 798, 596, 798, 19671, 12125, 286, 6884, 594, 1118, 873, 1354, 1153, 865, 782, 1250, 5049, 1294, 873, 269, 3973, 789, 616, 8799, 543, 16517, 269, 6884, 594, 1376, 689, 15072, 543, 1118, 873, 609, 835, 540, 1250, 5049, 269, 1411, 666, 2995, 950, 594, 1118, 873, 1247, 8288, 909, 1317, 519, 13002, 568, 782, 1793, 5896, 4033, 2053, 594, 1118, 513, 7387, 1354, 1153, 1862, 3267, 810, 1287, 649, 666, 6445, 621, 538, 1927, 538, 1362, 543, 6474, 938, 4967, 269, 1215, 798, 596, 946, 19671, 12125, 538, 519, 4928, 888, 289, 2056, 519, 1769, 910, 6323, 4603, 454, 10674, 2517, 4178, 8807, 714, 1731, 4732, 328, 901, 568, 606, 4277, 4603, 547, 1397, 519, 2698, 4835, 8086, 269, 1284, 1205, 519, 2698, 8086, 952, 519, 1769, 13788, 547, 606, 9804, 682, 2483, 16631, 4427, 12697, 585, 476, 275, 628, 543, 476, 276, 628, 6103, 2443, 634, 3163, 31919, 454, 15919, 596, 1175, 666, 1406, 581, 693, 1153, 269, 769, 707, 9000, 267, 707, 16823, 4116, 543, 1053, 666, 4163, 593, 609, 6209, 1565, 1247, 2679, 28203, 269, 1703, 568, 7899, 547, 798, 609, 891, 4245, 2336, 21430, 11822, 26682, 11822, 256, 2433, 12467, 296, 11613, 700, 10976, 292, 3450, 2257, 256, 898, 781, 519, 835, 1641, 1141, 3214, 666, 2731, 1205, 1318, 538, 972, 543, 1205, 741, 3946, 546, 1862, 0, 15447, 1578, 5029, 23924, 1058, 581, 1031, 547, 1489, 707, 1126, 2429, 519, 1888, 1373, 4988, 269, 1358, 1683, 7389, 267, 1883, 6863, 267, 1883, 5013, 543, 1271, 1344, 602, 786, 581, 4988, 269, 5753, 786, 946, 891, 1312, 538, 1153, 543, 693, 1753, 547, 7110, 741, 1565, 267, 3850, 721, 547, 960, 29050, 1927, 563, 15447, 1578, 5029, 23924, 616, 2966, 547, 948, 609, 938, 1699, 1753, 1565, 24502, 267, 789, 1683, 3606, 1489, 543, 4287, 585, 3885, 15029, 1565, 693, 1753, 269, 1358, 666, 581, 1031, 607, 513, 1448, 540, 4704, 585, 1032, 1895, 1702, 543, 6788, 1369, 519, 2016, 1888, 1858, 563, 8923, 946, 713, 6881, 547, 1489, 707, 1565, 593, 875, 3425, 1332, 454, 5970, 513, 1413, 693, 713, 6881, 547, 1265, 856, 513, 2370, 827, 1018, 4523, 547, 3425, 607, 789, 1332, 909, 269, 1411, 1522, 1256, 1294, 513, 7874, 3068, 2336, 8923, 1265, 713, 4374, 5851, 4804, 13268, 543, 1489, 2326, 2630, 563, 1607, 568, 519, 1565, 3640, 585, 519, 654, 289, 476, 736, 269, 275, 269, 1708, 271, 563, 5970, 513, 979, 693, 607, 1082, 540, 519, 2238, 607, 596, 666, 543, 1287, 1745, 1863, 547, 1577, 721, 917, 875, 596, 723, 3893, 593, 676, 11488, 721, 543, 4757, 609, 5961, 610, 7044, 269, 1284, 786, 2119, 543, 2671, 607, 1082, 540, 891, 607, 2009, 538, 519, 19922, 2336, 300, 1897, 540, 26449, 322, 4925, 11638, 5025, 322, 611, 5519, 11565, 302, 342, 331, 1723, 919, 13878, 0, 295, 677, 22450, 529, 519, 1148, 540, 14237, 2371, 538, 10651, 547, 3132, 1426, 543, 16392, 5820, 267, 610, 585, 4313, 543, 25798, 5301, 269, 29088, 2159, 584, 1235, 616, 698, 3472, 584, 1235, 15367, 1332, 5810, 267, 5613, 543, 10808, 267, 5388, 543, 11922, 267, 607, 1134, 607, 25798, 4054, 543, 1876, 985, 563, 763, 1353, 543, 2259, 540, 24972, 22450, 723, 1044, 14360, 1394, 5215, 540, 1296, 269, 29088, 22450, 8329, 547, 519, 5912, 689, 9930, 19631, 1480, 2950, 547, 25161, 267, 610, 10859, 1606, 539, 23358, 267, 24972, 12734, 2950, 13034, 677, 22450, 568, 5258, 883, 1896, 6688, 799, 1445, 593, 519, 14713, 543, 4393, 540, 1114, 2010, 540, 2371, 543, 1426, 3688, 585, 1808, 5301, 269, 769, 1931, 547, 18359, 519, 2257, 540, 24972, 22450, 267, 2789, 3906, 5001, 13599, 267, 5000, 267, 543, 3895, 519, 13120, 540, 24972, 22450, 269, 2368, 8037, 24972, 2159, 584, 1235, 1331, 12359, 320, 13850, 7236, 267, 13162, 645, 7875, 1678, 267, 543, 25414, 589, 1203, 563, 763, 4639, 11068, 4133, 568, 513, 23195, 10315, 543, 5916, 6392, 1858, 538, 7262, 7266, 1537, 4789, 609, 513, 476, 1001, 279, 6059, 2551, 540, 476, 273, 267, 280, 1626, 267, 3393, 279, 267, 1818, 621, 519, 2034, 1034, 29245, 10315, 538, 4789, 1310, 20523, 5507, 269, 898, 3357, 883, 6228, 607, 513, 23195, 10315, 538, 476, 3192, 275, 1310, 519, 8574, 540, 519, 10871, 6554, 2920, 476, 3192, 273, 267, 4646, 689, 2694, 540, 16065, 867, 28790, 267, 1937, 806, 1562, 10921, 543, 2782, 342, 6506, 10921, 269, 634, 10315, 3294, 568, 513, 715, 308, 4811, 476, 273, 3148, 1369, 519, 9962, 715, 308, 4811, 476, 272, 3148, 540, 519, 1482, 2012, 269, 634, 10315, 5161, 540, 5722, 23195, 18664, 965, 338, 281, 519, 4975, 540, 27257, 267, 519, 4975, 540, 595, 990, 18782, 543, 519, 4975, 540, 26728, 591, 5069, 17980, 267, 607, 1134, 607, 519, 18664, 965, 338, 540, 667, 644, 2917, 267, 9995, 6202, 267, 3752, 8811, 1638, 543, 654, 1023, 718, 269, 0, 298, 879, 320, 685, 328, 5176, 4503, 922, 6477, 1922, 9879, 2872, 267, 543, 4769, 1406, 1256, 917, 621, 563, 2252, 513, 2817, 623, 1251, 1160, 3027, 619, 7027, 6571, 7333, 940, 519, 8023, 540, 1426, 3653, 547, 14918, 1185, 711, 1044, 17204, 4505, 713, 1032, 267, 922, 8574, 1131, 723, 1129, 4705, 606, 1439, 547, 1034, 554, 690, 11396, 593, 918, 879, 320, 685, 328, 267, 2687, 547, 13222, 540, 519, 16127, 12426, 13163, 18966, 543, 16127, 623, 1251, 12752, 5948, 563, 2108, 17764, 267, 1004, 9327, 1406, 7639, 267, 7948, 1406, 1832, 8105, 2223, 952, 519, 6571, 1185, 5293, 267, 1767, 4406, 24809, 918, 6951, 6062, 549, 267, 540, 631, 1299, 670, 918, 6951, 6062, 549, 10787, 916, 267, 5549, 563, 9515, 568, 23122, 540, 519, 16127, 623, 1251, 12752, 5948, 267, 543, 1767, 602, 1082, 540, 519, 4130, 6477, 6705, 593, 918, 879, 320, 685, 328, 630, 1260, 14293, 543, 1875, 10687, 14293, 264, 946, 1152, 1426, 3653, 547, 3049, 741, 14918, 563, 4517, 2094, 519, 1942, 540, 10286, 547, 3049, 14918, 568, 2362, 1934, 982, 593, 744, 685, 24660, 267, 513, 7333, 593, 1210, 1426, 3653, 547, 3049, 14918, 1934, 1131, 723, 5921, 519, 1439, 547, 1082, 6477, 1922, 9879, 4238, 593, 519, 6532, 267, 918, 6951, 6062, 549, 6045, 563, 2304, 343, 1190, 547, 2149, 519, 772, 2529, 269, 13184, 2872, 689, 519, 3463, 540, 1426, 7146, 2173, 1926, 2068, 267, 3084, 20230, 11897, 2722, 13222, 6069, 519, 6571, 693, 513, 3084, 20230, 11897, 2722, 8468, 4505, 713, 1032, 563, 1607, 3357, 593, 519, 31623, 540, 2063, 1032, 779, 3864, 12176, 540, 519, 2068, 267, 799, 8507, 950, 7783, 5779, 29578, 24648, 958, 16865, 689, 3624, 941, 10480, 6151, 547, 2220, 710, 563, 2108, 291, 1047, 848, 666, 581, 3262, 538, 1426, 3653, 2223, 918, 6951, 6062, 549, 1767, 269, 968, 15933, 3653, 2115, 547, 581, 11273, 2223, 543, 519, 1533, 4972, 540, 11982, 779, 8524, 832, 1118, 2386, 1426, 3653, 10480, 547, 14918, 568, 11273, 7157, 267, 1352, 3773, 563, 17780, 593, 1533, 4972, 540, 11982, 9193, 540, 4025, 519, 1426, 2914, 4292, 14791, 1004, 3643, 21237, 267, 972, 616, 1472, 476, 3199, 6477, 6705, 593, 519, 6532, 563, 4263, 519, 3084, 5870, 267, 519, 3646, 540, 27050, 21025, 2465, 7315, 540, 13259, 783, 10394, 670, 690, 12426, 538, 12968, 24499, 685, 320, 593, 519, 8262, 6816, 6591, 1489, 689, 6705, 538, 824, 2829, 547, 14710, 519, 6571, 267, 2687, 547, 513, 22557, 30513, 585, 519, 16127, 12426, 13163, 18966, 563, 18250, 298, 2465, 7315, 779, 21981, 11329, 856, 602, 22608, 2157, 540, 24422, 540, 1426, 3653, 5986, 538, 519, 2136, 2276, 1118, 519, 6571, 11991, 267, 4329, 267, 4628, 3368, 540, 782, 20230, 12696, 538, 11316, 685, 328, 946, 930, 1426, 3653, 538, 741, 8023, 3292, 267, 543, 2015, 621, 513, 3407, 2707, 540, 5567, 585, 741, 2831, 267, 646, 3773, 563, 4002, 744, 685, 24660, 267, 513, 2749, 543, 10315, 3921, 12099, 10238, 1080, 519, 12871, 540, 1426, 3653, 538, 26071, 267, 799, 4229, 20730, 267, 3506, 543, 14060, 547, 22120, 621, 269, 4635, 602, 3653, 547, 3049, 14918, 3927, 2337, 1832, 9748, 540, 3653, 856, 540, 26071, 267, 799, 814, 2825, 2640, 267, 646, 1767, 563, 5475, 1565, 540, 519, 6069, 7333, 267, 21025, 2465, 7315, 21821, 539, 519, 948, 540, 1010, 7385, 267, 667, 7469, 928, 267, 543, 3220, 269, 16199, 2088, 2098, 2297, 7288, 267, 2220, 710, 11285, 609, 519, 5441, 540, 23427, 11982, 543, 5274, 8249, 693, 519, 2160, 540, 16127, 693, 2494, 10394, 563, 313, 2297, 7288, 543, 667, 7469, 928, 21025, 2465, 7315, 10356, 5885, 1239, 16074, 267, 543, 552, 2173, 9229, 621, 547, 27050, 21025, 2465, 7315, 267, 945, 729, 693, 519, 15007, 538, 28631, 267, 543, 1500, 1010, 10388, 4661, 1996, 519, 6571, 563, 4002, 918, 879, 320, 685, 328, 267, 9657, 1426, 3653, 689, 14060, 2337, 519, 14060, 1205, 7759, 540, 1346, 2451, 13569, 267, 543, 2636, 6705, 513, 10464, 2707, 540, 3049, 585, 741, 2831, 563, 2690, 811, 1344, 593, 519, 16127, 623, 1251, 12752, 5948, 267, 5225, 1289, 918, 6951, 6062, 549, 267, 476, 278, 5655, 268, 9873, 279, 563, 1805, 3530, 27752, 6754, 595, 269, 4354, 26385, 666, 581, 6603, 693, 13875, 1729, 281, 16942, 11333, 2593, 610, 476, 25090, 268, 3607, 279, 272, 630, 2169 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2547, 1079, 834, 754, 257, 5095, 799, 616, 1932, 11397, 569, 1644, 547, 954, 3691, 539, 267, 1498, 609, 519, 1761, 585, 5444, 2095, 1063, 782, 519, 5095, 563, 5445, 9414, 1018, 4523, 936, 942, 607, 5095, 16220, 11651, 613, 267, 4481, 1317, 789, 2099, 267, 538, 2713, 5095, 267, 1018, 7363, 4523, 936, 942, 1063, 1279, 21549, 22660, 5095, 543, 2713, 5095, 267, 538, 799, 519, 10827, 919, 723, 1831, 17255, 563, 32178, 29861, 9469, 3081, 602, 8258, 2249, 834, 732, 1152, 6029, 721, 538, 519, 8901, 10155, 1945, 602, 1590, 2141, 4755, 538, 519, 942, 10155, 2668, 634, 4999, 540, 18626, 20847, 543, 4720, 666, 3006, 581, 1031, 547, 3589, 1018, 786, 581, 1336, 538, 519, 8093, 2594, 269, 3794, 1601, 16239, 529, 568, 606, 17255, 2249, 540, 6079, 535, 1716, 2371, 689, 519, 18983, 1014, 563, 10908, 1601, 16239, 529, 5526, 538, 519, 8093, 2594, 1472, 519, 4098, 540, 519, 18983, 1014, 593, 519, 3504, 11782, 540, 717, 1180, 32272, 269, 10558, 1554, 3794, 1601, 16239, 529, 15455, 616, 1336, 538, 18983, 1014, 31324, 538, 22703, 3162, 3013, 267, 22703, 4000, 267, 782, 540, 28801, 267, 7187, 3127, 267, 782, 540, 5245, 267, 782, 540, 1715, 10215, 267, 543, 16559, 593, 519, 7013, 543, 7187, 8728, 540, 19778, 563, 7628, 519, 18983, 1014, 267, 891, 17407, 941, 4448, 607, 717, 1180, 32272, 1294, 4137, 476, 275, 322, 538, 6876, 609, 6419, 4174, 4771, 267, 824, 8093, 14778, 267, 543, 30961, 29565, 2583, 15738, 2476, 689, 519, 22465, 2916, 540, 519, 3162, 24504, 1282, 519, 18983, 1014, 269, 634, 1686, 540, 1558, 1430, 2103, 519, 804, 1228, 5627, 23047, 1575, 10118, 543, 741, 17255, 267, 18642, 11937, 2488, 606, 1383, 540, 875, 12105, 3069, 543, 519, 3350, 540, 17407, 666, 581, 5916, 547, 1118, 11236, 7282, 8093, 14404, 19973, 543, 3892, 563, 763, 9510, 1558, 1430, 1014, 15455, 616, 1336, 538, 1459, 6377, 3624, 269, 9370, 1575, 10118, 6603, 5245, 3842, 19778, 827, 476, 2004, 1250, 320, 267, 16172, 1310, 5245, 1185, 8237, 1055, 11021, 513, 2582, 24980, 2680, 540, 1175, 835, 2249, 269, 2983, 11043, 2963, 5267, 602, 1063, 476, 1789, 543, 476, 2412, 2929, 1296, 3516, 3162, 3013, 543, 5245, 941, 1869, 851, 540, 519, 8828, 25955, 2706, 11782, 540, 717, 1180, 32272, 543, 602, 789, 941, 4448, 676, 2244, 602, 568, 1631, 851, 540, 19778, 269, 4475, 267, 950, 9256, 519, 3631, 267, 3744, 1223, 3589, 602, 23047, 1575, 10118, 28953, 689, 1018, 568, 1631, 3162, 3013, 267, 998, 19778, 267, 543, 1287, 547, 1459, 6377, 5245, 1063, 476, 2412, 543, 476, 1789, 2929, 1296, 3516, 563, 288, 1101, 23047, 1575, 658, 8093, 540, 519, 17255, 1920, 2717, 11770, 565, 641, 13160, 729, 1336, 593, 1530, 2096, 712, 6816, 593, 519, 21303, 18686, 538, 634, 1686, 540, 519, 4342, 601, 2488, 606, 1383, 540, 875, 8093, 2963, 666, 581, 1031, 547, 18949, 9194, 543, 7766, 4720, 269, 634, 8093, 2594, 6920, 602, 519, 4720, 540, 4342, 601, 1749, 3323, 538, 3345, 3013, 1294, 4137, 476, 275, 324, 2073, 689, 799, 267, 3670, 2929, 1296, 3516, 267, 789, 28953, 2066, 519, 645, 1359, 26463, 883, 5607, 543, 1287, 547, 4000, 267, 543, 476, 274, 563, 5629, 9678, 267, 789, 7960, 2059, 741, 1378, 3515, 267, 4758, 4473, 547, 519, 645, 716, 6929, 4342, 601, 543, 546, 668, 539, 776, 538, 5607, 543, 4000, 543, 519, 561, 4594, 320, 543, 922, 14077, 538, 3162, 3013, 563, 290, 14712, 1749, 1287, 2968, 17255, 538, 3345, 3013, 693, 519, 1439, 540, 519, 2063, 4672, 2085, 269, 6201, 585, 519, 2963, 585, 4720, 1419, 6565, 689, 1463, 8343, 540, 2067, 5542, 538, 519, 2361, 543, 519, 8047, 563, 1607, 3296, 568, 2189, 538, 602, 621, 2488, 513, 7522, 518, 2796, 7282, 519, 1184, 540, 5542, 269, 2353, 540, 519, 1806, 3177, 1991, 547, 713, 723, 4330, 519, 2963, 602, 4720, 814, 7018, 267, 855, 814, 711, 3177, 519, 2101, 5817, 7271, 281, 901, 3296, 12799, 2488, 2963, 602, 2067, 5542, 4386, 267, 814, 1044, 556, 6088, 31567, 267, 543, 666, 581, 556, 6088, 538, 8047, 6901, 563, 14722, 723, 4767, 543, 13006, 513, 21318, 540, 2621, 1141, 2067, 5542, 568, 538, 2962, 269, 634, 1034, 1134, 1634, 1806, 616, 15084, 4187, 538, 519, 2564, 2361, 2059, 609, 1732, 8153, 8047, 6901, 25643, 4720, 781, 12136, 269, 7849, 5542, 568, 21915, 26920, 547, 1455, 16350, 538, 602, 1279, 3856, 12136, 543, 5542, 12503, 666, 1291, 547, 519, 4763, 540, 1272, 593, 3618, 607, 1336, 2221, 563, 5472, 14624, 1765, 323, 29545, 543, 3768, 29545, 2242, 7255, 1765, 732, 3361, 676, 2067, 5542, 543, 513, 1906, 824, 5634, 3157, 269, 898, 568, 1134, 3964, 602, 267, 834, 634, 1806, 2630, 616, 1152, 513, 1507, 6824, 540, 519, 4890, 6901, 543, 7422, 269, 14464, 5542, 9727, 519, 4763, 602, 666, 2291, 1851, 7103, 602, 2671, 513, 5266, 2487, 1455, 22660, 269, 769, 5841, 5542, 267, 835, 2249, 568, 26870, 28729, 693, 1142, 5108, 267, 3850, 1152, 1346, 7103, 602, 8858, 5551, 4162, 547, 16196, 563, 4322, 4162, 1831, 5051, 1134, 2919, 538, 20422, 5481, 269, 14464, 5542, 729, 3811, 1279, 1354, 2257, 4362, 519, 4719, 4493, 269, 6201, 540, 5841, 5542, 1331, 2915, 9960, 2073, 16220, 9168, 1426, 2073, 8768, 9960, 267, 543, 519, 14713, 540, 3536, 971, 607, 3552, 22648, 2073, 476, 543, 1866, 563, 16987, 14939, 4720, 3096, 6417, 6901, 547, 1449, 19165, 543, 6436, 540, 4720, 269, 769, 835, 2038, 1383, 267, 5261, 667, 718, 5424, 1305, 909, 606, 4603, 16172, 1354, 2073, 1641, 532, 17973, 547, 3002, 609, 519, 2832, 540, 16550, 13261, 2242, 269, 3571, 4603, 10443, 585, 1472, 5722, 1296, 267, 543, 1010, 3370, 2164, 941, 28601, 267, 855, 646, 1705, 711, 16056, 519, 4603, 1310, 519, 17102, 8959, 269, 589, 1804, 8397, 1383, 540, 8097, 4720, 568, 9400, 30776, 7288, 1412, 338, 3818, 22831, 4603, 609, 18521, 615, 747, 807, 19546, 563, 299, 839, 7288, 4767, 602, 930, 12490, 540, 661, 269, 2334, 781, 1175, 1018, 5137, 1235, 2161, 666, 1405, 4755, 269, 589, 1353, 540, 2249, 540, 667, 7469, 11844, 543, 1291, 5533, 538, 519, 476, 736, 628, 2540, 10567, 602, 606, 2333, 538, 1291, 5533, 1131, 1291, 547, 2178, 5542, 540, 1291, 10892, 563, 12867, 941, 2111, 547, 946, 834, 637, 18675, 14498, 2580, 554, 10248, 5756, 6040, 667, 7469, 11844, 5798, 689, 519, 942, 950, 12647, 941, 8185, 26130, 609, 1291, 269, 634, 24011, 13530, 538, 519, 1353, 941, 3379, 547, 1699, 6377, 667, 7469, 11844, 2073, 543, 7152, 834, 323, 1090, 1738, 8516, 3604, 1063, 2025, 543, 2413, 4307, 8040, 950, 21947, 609, 513, 7839, 3140, 2825, 2566, 528, 8487, 29973, 569, 267, 519, 2413, 6377, 667, 7469, 11844, 941, 8572, 547, 5706, 610, 20496, 1164, 2157, 540, 1291, 713, 568, 1813, 547, 519, 5458, 5786, 540, 1291, 5533, 538, 476, 2641, 560, 2540, 12647, 269, 634, 2025, 24011, 13530, 267, 2705, 267, 941, 2111, 547, 20496, 1164, 1291, 5533, 269, 634, 4589, 11943, 602, 834, 2421, 14139, 519, 2553, 540, 24446, 14498, 267, 649, 941, 2111, 547, 1397, 2312, 4307, 28437, 1689, 936, 5756, 589, 5929, 1383, 729, 519, 4307, 28437, 1689, 267, 1769, 3562, 1673, 1046, 2681, 9542, 267, 538, 519, 890, 653, 1229, 26615, 2073, 1813, 547, 5533, 689, 519, 11633, 7169, 538, 4789, 563, 763, 1646, 543, 3262, 540, 15084, 910, 637, 9665, 4551, 568, 2963, 585, 519, 1184, 540, 4720, 540, 2249, 269, 4935, 519, 5920, 540, 8709, 1260, 344, 11142, 910, 637, 9665, 853, 20942, 19905, 28857, 2073, 543, 519, 8594, 621, 13514, 547, 6413, 2550, 267, 568, 513, 1463, 1267, 540, 4720, 998, 2067, 5542, 563, 763, 4473, 540, 1744, 580, 7578, 12490, 11259, 547, 519, 10991, 15084, 1362, 540, 9829, 517, 600, 1938, 849, 9727, 519, 5108, 540, 1007, 1344, 607, 606, 12105, 1184, 269, 2353, 5049, 540, 17973, 1020, 4187, 281, 901, 568, 547, 581, 4397, 950, 6236, 602, 782, 1272, 15225, 8471, 4719, 3009, 543, 568, 4061, 1641, 547, 519, 1184, 540, 4720, 998, 922, 1585, 6127, 269, 6271, 1383, 540, 7103, 15268, 547, 1480, 27351, 4310, 2175, 616, 715, 14125, 3887, 908, 4551, 281, 1703, 568, 3621, 13618, 602, 519, 4390, 547, 30075, 562, 14125, 848, 1034, 4440, 2919, 607, 513, 2582, 9912, 15817, 602, 15068, 1317, 621, 4824, 519, 8516, 540, 519, 4551, 28429, 519, 15817, 563, 1607, 568, 2938, 607, 513, 1434, 1383, 540, 4720, 998, 15817, 543, 2067, 5542, 602, 814, 1044, 4767, 607, 621, 4386, 543, 1223, 711, 723, 2097, 827, 2394, 519, 2504, 540, 562, 14125, 676, 3425, 563, 13828, 28849, 631, 574, 15252, 28050, 656, 13519, 639, 5309, 823, 639, 2699, 32704, 1229, 543, 631, 574, 15252, 28050, 656, 13519, 639, 513, 14094, 529, 5835, 32704, 1229, 540, 24564, 25154, 616, 9678, 1813, 547, 519, 7375, 540, 741, 23832, 12704, 543, 17761, 14790, 1054, 25199, 269, 634, 5982, 540, 631, 269, 623, 17222, 21925, 2079, 5267, 1079, 4830, 8129, 540, 2699, 23469, 5810, 602, 21256, 1813, 547, 28250, 910, 2958, 17419, 13592, 538, 519, 5444, 8575, 7069, 321, 273, 602, 568, 1459, 538, 782, 631, 563, 10702, 1382, 6700, 602, 1079, 4830, 13592, 1705, 711, 1491, 1747, 267, 855, 835, 8575, 7069, 321, 273, 27446, 729, 11843, 3842, 703, 5766, 4809, 10316, 1436, 269, 22319, 10072, 543, 28250, 910, 2958, 17419, 3252, 282, 29981, 2079, 282, 13664, 4087, 543, 3542, 13541, 13283, 282, 543, 2249, 10316, 1436, 543, 884, 857, 566, 616, 1175, 930, 540, 519, 2127, 538, 799, 1239, 666, 581, 5833, 547, 3561, 519, 12136, 540, 4720, 563, 12024, 519, 13798, 8127, 267, 1480, 27351, 4310, 5533, 666, 2097, 538, 1114, 3029, 269, 7101, 3999, 13116, 13271, 568, 513, 3501, 1383, 540, 2067, 5542, 2921, 1747, 1310, 513, 3114, 8009, 269, 7101, 3999, 13116, 13271, 5526, 547, 946, 519, 20119, 14264, 514, 547, 6460, 18325, 5982, 883, 3114, 1648, 585, 2208, 567, 543, 941, 1101, 4362, 538, 607, 3109, 28633, 3395, 3330, 543, 1472, 519, 595, 3062, 984, 2643, 17437, 5295, 7233, 269, 2755, 4974, 1368, 653, 625, 7313, 1815, 23158, 1427, 10306, 1092, 538, 2558, 514, 21059, 2073, 29489, 3627, 7736, 2401, 9571, 5542, 693, 960, 593, 519, 3165, 5095, 563, 2414, 4341, 856, 4244, 7399, 267, 7736, 2401, 1305, 909, 513, 3810, 6417, 4603, 547, 17932, 519, 2067, 7226, 676, 14335, 4557, 22253, 1369, 513, 8047, 8511, 693, 23134, 2160, 269, 3962, 11432, 8659, 18574, 547, 4010, 6474, 602, 540, 519, 2067, 22253, 269, 2991, 13830, 513, 4351, 3732, 540, 1368, 653, 625, 689, 22253, 538, 2558, 514, 21059, 2073, 646, 6659, 543, 6404, 873, 547, 1711, 2147, 16220, 3309, 5095, 543, 6027, 1142, 3165, 5544, 3259, 267, 5544, 4463, 267, 5544, 1858, 267, 3448, 5544, 3259, 267, 3448, 5544, 4463, 267, 2698, 15429, 1858, 267, 543, 3044, 1560, 13080, 563, 2690, 519, 4603, 646, 3773, 595, 1066, 545, 747, 5055, 620, 3279, 623, 269, 2991, 476, 1015, 5481, 267, 16198, 941, 1500, 1063, 1142, 11432, 781, 1368, 653, 344, 5095, 543, 7403, 941, 3144, 1586, 563, 17484, 2401, 1336, 602, 519, 5095, 1185, 7960, 13497, 1114, 2681, 3270, 538, 519, 1852, 543, 1875, 1790, 1042, 1807, 20115, 543, 1951, 321, 2681, 3270, 538, 519, 23246, 7535, 563, 303, 1042, 566, 2604, 1185, 3361, 513, 5542, 1996, 7555, 856, 689, 4282, 18574, 269, 769, 6252, 267, 1282, 713, 4603, 267, 7736, 2401, 5342, 513, 2361, 4603, 538, 2558, 514, 21059, 1141, 646, 9575, 1368, 653, 625, 689, 22253, 1141, 789, 1185, 11975, 543, 882, 11343, 873, 547, 22253, 25318, 1141, 519, 11975, 1705, 711, 2661, 563, 5475, 476, 1428, 5481, 267, 7736, 2401, 1336, 602, 519, 882, 11343, 1368, 653, 625, 1185, 7960, 10565, 543, 10477, 3270, 269, 26243, 267, 1312, 6901, 4951, 19427, 1813, 547, 2147, 5542, 12503, 1775, 269, 769, 513, 2663, 1353, 676, 6424, 1234, 345, 333, 1157, 267, 519, 2361, 2551, 729, 8947, 476, 1556, 1296, 2663, 1310, 7736, 2401, 882, 11343, 519, 1368, 653, 625, 547, 1164, 12535, 269, 634, 1353, 1336, 602, 519, 5095, 814, 7960, 538, 513, 1297, 540, 1114, 2081, 281, 7849, 5542, 568, 4767, 538, 4207, 1480, 5095, 267, 609, 2487, 4681, 11744, 602, 519, 2551, 693, 1981, 540, 519, 4049, 27676, 2068, 737, 15843, 814, 1713, 936, 3146, 335, 19948, 540, 606, 4761, 14583, 540, 519, 929, 542, 3940, 5444, 717, 309, 8957, 1875, 268, 14545, 27586, 563, 14722, 2022, 3634, 835, 540, 519, 4128, 585, 519, 4028, 5542 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5002, 279, 670, 7564, 1889, 523, 4802, 3534, 5336, 599, 476, 2190, 267, 476, 2735, 273, 670, 1564, 1074, 328, 264, 513, 21993, 18502, 269, 19248, 684, 334, 6022, 18223, 655, 328, 267, 19248, 684, 334, 4406, 12047, 541, 6022, 334, 267, 19248, 684, 334, 5696, 7564, 25699, 7564, 338, 267, 19248, 684, 334, 4406, 12047, 541, 5696, 7564, 25699, 7564, 338, 610, 5696, 7564, 25699, 7564, 338, 267, 6022, 18223, 655, 328, 729, 513, 25227, 17076, 543, 22256, 269, 1261, 1185, 2185, 1453, 267, 623, 1068, 16210, 6022, 334, 267, 808, 4157, 6390, 6261, 2131, 6390, 6022, 334, 267, 6742, 16210, 6022, 334, 543, 10507, 14150, 6428, 2381, 523, 563, 14367, 11549, 4548, 1331, 570, 2863, 324, 16582, 6022, 334, 630, 29171, 476, 272, 281, 476, 3422, 278, 268, 3192, 276, 1070, 1133, 2129, 339, 636, 3430, 25959, 267, 2073, 2073, 2073, 543, 4586, 3891, 5747, 3361, 676, 2860, 563, 5649, 811, 827, 19248, 684, 334, 6022, 334, 593, 9504, 19314, 24938, 16210, 918, 1092, 329, 626, 334, 630, 20103, 476, 277, 267, 476, 4572, 277, 5244, 8457, 11219, 534, 4231, 476, 2190, 267, 476, 1220, 271, 670, 1564, 1074, 328, 264, 513, 21993, 18502, 269, 6742, 16210, 966, 559, 329, 9564, 918, 1092, 329, 626, 334, 729, 513, 25227, 17076, 563, 3891, 3323, 1010, 9117, 4876, 593, 519, 16222, 3942, 267, 543, 2663, 7902, 538, 3875, 25227, 8874, 543, 8613, 3126, 269, 2368, 540, 1010, 8037, 1568, 1331, 519, 8874, 834, 763, 32148, 22307, 1512, 257, 543, 834, 763, 6519, 1234, 785, 17621, 1701, 918, 1092, 329, 626, 334, 729, 849, 6444, 585, 1010, 960, 538, 519, 14364, 267, 1141, 646, 5129, 513, 3099, 540, 5107, 538, 1896, 24299, 2429, 1010, 4876, 269, 769, 1840, 547, 1010, 9117, 960, 267, 646, 729, 849, 513, 13730, 18048, 543, 15548, 538, 1896, 1857, 24218, 269, 918, 1092, 329, 626, 334, 729, 9833, 607, 835, 540, 519, 1034, 16805, 11051, 540, 1010, 5108, 538, 18940, 267, 543, 1010, 7418, 547, 519, 4670, 543, 14364, 2872, 616, 1869, 15422, 2221, 563, 5649, 811, 827, 6742, 16210, 918, 1092, 329, 626, 334, 593, 9504, 19314, 300, 2967, 10937, 1772, 7637, 630, 18550, 476, 1428, 267, 476, 4572, 278, 681, 4512, 29538, 7564, 7288, 5336, 1105, 476, 274, 267, 476, 1220, 272, 264, 729, 513, 25227, 14704, 563, 9515, 568, 1655, 1634, 585, 1200, 960, 609, 519, 25227, 1374, 2754, 3057, 830, 330, 14150, 269, 631, 2967, 10937, 1772, 7637, 729, 7620, 8036, 607, 513, 18048, 543, 6594, 693, 519, 670, 1564, 1074, 328, 6239, 3427, 540, 8551, 543, 27207, 269, 2701, 3323, 2324, 585, 3057, 830, 330, 14150, 538, 519, 2038, 476, 4198, 271, 338, 543, 3533, 2968, 513, 1883, 14704, 585, 519, 2754, 269, 1772, 7637, 781, 1034, 4583, 6272, 585, 3057, 830, 330, 14150, 1331, 519, 1133, 1731, 14150, 630, 16647, 6853, 264, 4806, 267, 799, 568, 1869, 538, 2504, 543, 4922, 6444, 2221, 269, 769, 1840, 547, 19135, 543, 4806, 1374, 267, 1772, 7637, 849, 2813, 3282, 10367, 267, 16493, 267, 543, 12383, 269, 4173, 960, 814, 1044, 17820, 538, 26847, 543, 15882, 1472, 519, 1158, 267, 543, 1352, 568, 4922, 9833, 607, 835, 540, 18940, 781, 1034, 1271, 19135, 543, 4806, 9858, 563, 5649, 811, 827, 631, 2967, 10937, 1772, 7637, 593, 9504, 19314, 299, 1513, 808, 753, 5459, 630, 19751, 476, 279, 267, 476, 4572, 277, 670, 1564, 1074, 328, 11219, 340, 569, 476, 4029, 267, 476, 1220, 271, 670, 1564, 1074, 328, 264, 849, 1634, 607, 808, 753, 5459, 267, 700, 1513, 729, 513, 25227, 5856, 543, 20419, 626, 269, 3571, 1126, 568, 20153, 807, 808, 753, 5459, 563, 299, 1513, 808, 753, 5459, 568, 1655, 1634, 607, 519, 2278, 543, 7376, 540, 519, 631, 7112, 514, 13371, 14816, 267, 799, 646, 3576, 936, 689, 1010, 7015, 570, 913, 808, 753, 5459, 538, 476, 3422, 271, 269, 1261, 4797, 547, 1711, 1007, 631, 7112, 514, 13371, 17446, 2394, 476, 3192, 276, 267, 1310, 799, 646, 5059, 593, 1603, 543, 20515, 1453, 781, 2835, 269, 769, 1840, 547, 1010, 960, 593, 519, 631, 7112, 514, 3126, 267, 808, 753, 5459, 849, 5249, 607, 606, 3879, 15249, 585, 1585, 25227, 12326, 267, 1519, 17476, 543, 1453, 781, 2835, 269, 2991, 1010, 2669, 538, 476, 1220, 271, 267, 646, 2451, 513, 9371, 607, 835, 540, 18940, 781, 1034, 11537, 20419, 1235, 543, 1453, 781, 4589, 563, 5649, 811, 827, 700, 1513, 808, 753, 5459, 593, 9504, 19314, 288, 541, 928, 590, 8811, 17383, 630, 21776, 476, 2420, 267, 476, 6642, 280, 22870, 1503, 1695, 16210, 11219, 2317, 476, 1321, 267, 476, 3422, 274, 670, 1564, 1074, 328, 264, 729, 513, 25227, 7209, 563, 3891, 729, 1655, 1634, 585, 1010, 1909, 538, 25227, 6214, 543, 1010, 3028, 607, 513, 4108, 19524, 1282, 2622, 2782, 4083, 269, 590, 8811, 17383, 729, 513, 4759, 540, 519, 25227, 12057, 543, 6039, 607, 519, 10579, 540, 16470, 689, 476, 3707, 276, 547, 476, 3707, 279, 269, 1261, 729, 849, 513, 31924, 4937, 538, 519, 25227, 8136, 543, 5129, 513, 1883, 1909, 538, 519, 8033, 6672, 2782, 1996, 519, 8168, 5742, 269, 590, 8811, 17383, 781, 5718, 543, 7580, 4058, 3366, 547, 519, 25227, 8136, 781, 3811, 8878, 540, 519, 918, 28328, 1014, 594, 560, 327, 16443, 1282, 519, 2112, 269, 2991, 1427, 3931, 689, 6214, 267, 646, 7283, 3742, 538, 1585, 25227, 3906, 543, 729, 13752, 1896, 26549, 585, 1010, 4108, 3028, 563, 5649, 811, 827, 589, 541, 928, 590, 8811, 17383, 593, 9504, 19314, 289, 14725, 334, 21081, 27048, 630, 9802, 476, 1691, 267, 476, 6977, 278, 9835, 667, 1276, 344, 540, 18940, 4149, 324, 4697, 476, 3066, 267, 476, 4350, 271, 264, 513, 21993, 18502, 269, 19839, 334, 30544, 21081, 27048, 729, 513, 25227, 4056, 563, 294, 3757, 27048, 729, 4535, 883, 513, 1920, 540, 16413, 543, 8030, 269, 1261, 21783, 689, 519, 670, 1564, 1074, 328, 2160, 540, 5303, 609, 513, 4110, 538, 6189, 538, 476, 6942, 280, 269, 2991, 2324, 538, 1585, 11265, 10909, 538, 670, 1564, 1074, 328, 543, 853, 269, 22642, 7921, 267, 646, 3964, 1010, 1378, 11265, 5604, 538, 670, 1564, 1074, 328, 538, 476, 6642, 278, 269, 21081, 27048, 729, 8185, 6766, 676, 519, 3203, 715, 537, 557, 879, 3350, 543, 2968, 835, 540, 519, 3056, 25227, 16413, 540, 519, 2511, 269, 2368, 540, 1010, 8037, 1568, 1331, 519, 670, 1564, 1074, 328, 20709, 262, 5600, 543, 519, 670, 1564, 1074, 328, 1530, 3120, 16852, 821, 23392, 269, 21081, 27048, 729, 849, 513, 7548, 540, 6189, 693, 519, 670, 1564, 1074, 328, 2160, 540, 5303, 689, 476, 5002, 279, 2394, 1010, 16468, 538, 476, 4572, 278, 269, 1261, 729, 13752, 519, 2140, 540, 7905, 538, 476, 4572, 271, 267, 538, 6284, 540, 1010, 10781, 538, 519, 2361, 540, 6189, 563, 5649, 811, 827, 19839, 334, 21081, 27048, 593, 9504, 19314, 292, 21416, 6441, 328, 13453, 2494, 1676, 630, 20103, 476, 276, 267, 476, 4572, 272, 670, 1564, 1074, 328, 11219, 340, 569, 476, 278, 267, 476, 1960, 276, 570, 2086, 699, 264, 729, 513, 25227, 10564, 267, 31075, 543, 6037, 1807, 563, 10048, 1676, 729, 835, 540, 519, 1034, 7986, 25227, 2413, 1235, 540, 519, 476, 4198, 271, 338, 543, 476, 3422, 271, 338, 269, 2701, 5206, 6965, 602, 8268, 4798, 971, 607, 2648, 267, 2470, 267, 543, 519, 1480, 2783, 267, 1419, 609, 12667, 543, 3532, 11052, 269, 2494, 1676, 781, 4249, 267, 799, 941, 1419, 5340, 693, 519, 570, 2086, 699, 523, 1855, 2660, 328, 538, 570, 2086, 699, 267, 18940, 267, 941, 8097, 543, 1285, 656, 3766, 31938, 267, 543, 1352, 729, 1634, 585, 1200, 946, 540, 23349, 3029, 543, 3889, 269, 769, 1840, 547, 1200, 1378, 1603, 267, 2494, 1676, 12261, 519, 1568, 540, 1082, 3486, 15023, 543, 24420, 23412, 267, 1519, 26450, 27117, 6601, 19816, 543, 12658, 518, 4815, 25661, 17144, 31240, 8619, 267, 883, 25227, 269, 2701, 729, 13752, 3875, 26065, 585, 1200, 7418, 547, 25227, 3332, 267, 1519, 519, 661, 3626, 2274, 3626, 15356, 538, 476, 4198, 271, 543, 519, 18940, 807, 15356, 538, 476, 2735, 272, 563, 5649, 811, 827, 661, 21416, 6441, 328, 13453, 2494, 1676, 593, 9504, 19314, 25857, 20891, 32572, 5213, 1676, 630, 21776, 476, 1626, 267, 476, 4350, 280, 570, 2086, 699, 11219, 2317, 476, 2767, 267, 476, 1001, 274, 32021, 984, 26684, 264, 513, 21993, 18502, 269, 32572, 5213, 1676, 267, 7009, 20891, 32572, 5213, 1676, 610, 5213, 1676, 267, 32572, 729, 513, 25227, 4670, 6060, 21917, 543, 17076, 563, 14367, 1034, 1134, 1634, 11549, 4548, 281, 5899, 902, 267, 2859, 20537, 476, 11277, 267, 5899, 902, 4860, 529, 1243, 267, 2073, 1656, 898, 19732, 2989, 24222, 2073, 543, 1547, 2637, 637, 281, 12634, 8106, 2575, 543, 27227, 563, 5649, 811, 827, 7009, 20891, 32572, 5213, 1676, 593, 9504, 9732, 0, 763, 7688, 568, 2966, 547, 1449, 707, 1702, 540, 519, 1888, 968, 763, 6129, 543, 519, 25578, 6100, 634, 1449, 960, 568, 2966, 585, 476, 1428, 1107, 476, 736, 3764, 543, 3568, 476, 277, 2055, 267, 799, 2154, 1702, 540, 519, 1570, 476, 273, 1107, 476, 274, 9433, 269, 1452, 2055, 666, 849, 581, 1031, 585, 606, 5711, 28882, 5619, 540, 1053, 269, 5999, 540, 4830, 960, 6322, 693, 519, 5250, 540, 1983, 2838, 676, 519, 1982, 267, 607, 1134, 607, 547, 6895, 741, 4110, 540, 5250, 543, 519, 1377, 540, 1702, 540, 1053, 593, 519, 1292, 2152, 540, 17651, 1576, 563, 14818, 960, 476, 275, 454, 307, 8084, 281, 968, 763, 2470, 540, 519, 4703, 540, 519, 3859, 1062, 9731, 268, 1548, 3615, 616, 851, 540, 519, 3859, 1062, 563, 268, 1548, 616, 519, 10785, 888, 268, 1548, 4703, 616, 1572, 1507, 10785, 610, 30563, 888, 268, 1548, 568, 519, 918, 14241, 704, 25028, 888, 268, 1548, 568, 519, 5888, 540, 519, 744, 677, 6531, 888, 268, 769, 1018, 4287, 798, 782, 519, 10785, 543, 30563, 17967, 1472, 519, 6129, 888, 268, 1548, 568, 519, 8953, 540, 519, 19236, 1062, 888, 268, 9122, 593, 1018, 1239, 666, 649, 8263, 602, 782, 519, 4703, 602, 4867, 1118, 909, 519, 3859, 1062, 4646, 827, 476, 275, 269, 276, 547, 476, 276, 5479, 1296, 3516, 888, 268, 5903, 519, 1614, 3334, 602, 1118, 909, 782, 519, 4703, 538, 519, 3859, 1062, 563, 268, 1548, 6585, 519, 10785, 538, 741, 25057, 1472, 519, 6129, 888, 268, 1548, 568, 519, 3196, 602, 8952, 14361, 593, 741, 24551, 607, 789, 8038, 998, 519, 3859, 1062, 888, 268, 1548, 3123, 519, 3604, 538, 519, 5860, 540, 519, 4694, 12742, 540, 519, 10785, 888, 268, 5903, 519, 1292, 17158, 525, 540, 519, 3047, 779, 8608, 563, 268, 4208, 1281, 519, 3047, 723, 513, 5982, 12966, 286, 1548, 5536, 616, 3769, 538, 922, 5888, 888, 268, 1548, 9259, 3361, 676, 519, 3047, 779, 6419, 2361, 616, 4767, 538, 519, 5580, 6106, 540, 519, 5790, 888, 268, 1548, 1909, 1281, 519, 3047, 779, 5790, 1404, 538, 922, 1272, 888, 268, 1548, 6941, 519, 3668, 540, 5790, 540, 519, 9855, 888, 268, 4208, 1281, 519, 9855, 1413, 17321, 982, 824, 8279, 538, 519, 3781, 6607, 888, 268, 1548, 1281, 519, 2627, 2837, 540, 519, 1114, 10785, 4096, 593, 888, 268, 1548, 616, 519, 2164, 540, 2090, 540, 519, 3114, 5888, 540, 519, 9855, 888, 268, 1548, 6941, 519, 1713, 2837, 7648, 593, 519, 16264, 2627, 689, 1554, 547, 3781, 888, 268, 1548, 616, 519, 2164, 540, 2090, 540, 519, 9258, 2427, 540, 519, 9855, 888, 268, 4208, 267, 1354, 14361, 24363, 1472, 519, 9855, 543, 13227, 1117, 922, 1394, 2427, 267, 3425, 1223, 1152, 1294, 3368, 540, 621, 888, 268, 1548, 616, 519, 2497, 543, 2168, 3601, 540, 519, 5580, 4494, 540, 519, 16264, 2627, 888, 268, 1215, 666, 649, 9794, 519, 3017, 538, 2085, 540, 519, 1835, 11596, 4767, 593, 519, 9855, 888, 268, 4208, 616, 2242, 593, 519, 16264, 2627, 1454, 14887, 982, 593, 3047, 888, 268, 8745, 519, 1614, 6106, 540, 519, 9855, 563, 268, 1548, 5123, 1590, 519, 9855, 581, 538, 585, 513, 3859, 24256, 547, 2049, 286, 30803, 24256, 888, 268, 1548, 568, 519, 2963, 540, 513, 4745, 5169, 540, 519, 9855, 543, 3047, 888, 268, 4208, 666, 649, 2911, 827, 519, 1279, 2165, 29696, 540, 23419, 856, 335, 712, 902, 543, 15027, 2534, 593, 519, 9855, 888, 268, 634, 3859, 1062, 2882, 5216, 1804, 10785, 609, 741, 15408, 267, 21221, 10785, 267, 936, 476, 1911 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1432, 568, 519, 1576, 827, 888, 20524, 519, 1686, 3297, 519, 3574, 4133, 649, 1294, 2221, 538, 5507, 269, 13760, 930, 540, 519, 1883, 8733, 3157, 2921, 1747, 538, 938, 3574, 4133, 543, 1451, 547, 2697, 513, 2039, 540, 18508, 543, 21426, 269, 10812, 5507, 779, 3574, 4133, 609, 2333, 1702, 543, 18399, 269, 4985, 693, 4975, 22175, 4553, 676, 1614, 28816, 15211, 282, 6753, 547, 581, 9672, 693, 519, 1376, 540, 519, 1576, 563, 1432, 786, 649, 3382, 888, 1892, 15650, 540, 28816, 454, 1892, 3778, 540, 3574, 4133, 538, 5507, 454, 1892, 8381, 1633, 14498, 454, 1892, 17291, 4054, 543, 2371, 454, 1892, 17291, 5017, 543, 2831, 563, 1432, 786, 594, 3035, 888, 3528, 519, 1439, 540, 713, 1576, 596, 1058, 581, 2111, 547, 2483, 1892, 13876, 1047, 513, 3099, 540, 28816, 2010, 454, 1892, 5681, 3405, 1047, 519, 1699, 1533, 540, 5507, 779, 3574, 4133, 454, 1892, 14674, 930, 540, 519, 1883, 8733, 3157, 1369, 513, 28816, 454, 1892, 13876, 1047, 693, 2547, 476, 276, 28816, 2371, 267, 4054, 543, 5017, 454, 1892, 12532, 538, 5507, 779, 3574, 4133, 609, 2799, 4656, 543, 18399, 563, 1432, 1377, 568, 519, 1576, 543, 798, 594, 991, 1022, 1880, 1983, 888, 1607, 568, 606, 2606, 1576, 543, 568, 1930, 547, 782, 269, 3143, 1991, 1702, 540, 519, 1641, 568, 2838, 269, 1717, 267, 596, 786, 454, 928, 539, 513, 1434, 9787, 540, 2296, 547, 1832, 909, 609, 519, 1576, 543, 547, 7119, 4628, 538, 5717, 269, 1411, 991, 547, 581, 454, 332, 9394, 2614, 547, 2347, 513, 16837, 569, 476, 273, 5662, 3802, 2059, 11315, 10092, 609, 930, 13141, 1149, 563, 1692, 786, 594, 581, 6026, 267, 543, 786, 972, 581, 1022, 960, 3544, 519, 1362, 888, 763, 1101, 8400, 786, 581, 606, 11609, 4367, 547, 3574, 4133, 538, 519, 4928, 693, 4975, 22175, 269, 901, 8400, 786, 454, 514, 2850, 930, 1367, 543, 1895, 1565, 4247, 269, 634, 15211, 786, 1491, 1747, 538, 513, 1114, 28816, 1142, 3018, 267, 609, 454, 2181, 322, 1047, 6753, 547, 581, 9672, 693, 519, 1376, 540, 519, 1576, 269, 2353, 15211, 786, 1376, 543, 9096, 693, 519, 1482, 5870, 1448, 543, 581, 3015, 676, 1857, 3560, 269, 634, 15211, 786, 782, 581, 1472, 476, 272, 269, 276, 910, 476, 273, 5195, 543, 786, 1519, 7114, 28816, 2249, 267, 1895, 4901, 543, 2055, 543, 4267, 563, 6701, 972, 1022, 824, 3790, 286, 1772, 972, 4376, 594, 991, 547, 3142, 888, 2791, 786, 991, 547, 3382, 519, 1942, 540, 707, 3560, 547, 519, 5870, 4025, 585, 519, 15211, 269, 23203, 6899, 7802, 585, 6972, 267, 1519, 19756, 31321, 269, 6333, 519, 4365, 593, 519, 1554, 543, 3142, 1216, 267, 513, 11058, 543, 3141, 2603, 542, 267, 610, 28890, 338, 607, 2838, 269, 18461, 1863, 547, 3142, 10822, 22811, 338, 543, 513, 8254, 952, 596, 6999, 563, 2691, 594, 4312, 8737, 267, 1018, 1576, 666, 594, 798, 1985, 888, 16100, 938, 585, 938, 2067, 1686, 543, 2257, 6030, 538, 938, 476, 1001, 280, 268, 736, 10872, 563, 14197, 1344, 543, 5796, 593, 6030, 693, 4975, 22175, 568, 2139, 689, 519, 9906, 10418, 543, 7732, 593, 11728, 547, 11016, 689, 476, 1321, 281, 876, 1107, 476, 866, 281, 876, 563, 8450, 519, 1576, 3391, 585, 2165, 7389, 543, 2417, 3877, 0, 1805, 800, 676, 715, 6347, 310, 5398, 16457, 454, 763, 1232, 2174, 2153, 539, 6861, 518, 608, 268, 4785, 306, 31550, 630, 24884, 476, 280, 3451, 264, 568, 4397, 547, 581, 6569, 538, 476, 1001, 276, 689, 519, 6115, 13108, 962, 731, 538, 6115, 267, 667, 5861, 1421, 585, 2347, 24905, 1782, 543, 9657, 563, 763, 18224, 26676, 31550, 1590, 581, 6569, 1354, 4070, 5956, 538, 5239, 476, 1001, 276, 593, 519, 1007, 19291, 30463, 17341, 15167, 267, 799, 568, 513, 6378, 12732, 602, 6382, 1131, 2244, 2000, 1442, 519, 6928, 563, 4785, 306, 31550, 729, 1232, 2174, 2153, 539, 593, 5437, 476, 276, 267, 476, 2735, 273, 543, 3459, 922, 1007, 4876, 607, 513, 8628, 1857, 4159, 6928, 538, 476, 2735, 275, 269, 898, 814, 1044, 1031, 585, 2866, 543, 6928, 4580, 5432, 1436, 267, 543, 607, 513, 30060, 3760, 269, 2991, 476, 1789, 1296, 607, 519, 8628, 4159, 6928, 693, 519, 6115, 13108, 962, 731, 543, 538, 601, 580, 1043, 585, 17609, 538, 519, 2817, 19193, 540, 19866, 23089, 267, 519, 26712, 31550, 786, 581, 11280, 585, 12871, 563, 4785, 306, 31550, 729, 519, 3791, 1280, 6135, 15593, 2006, 11665, 6861, 518, 3710, 543, 519, 8772, 6077, 547, 7703, 519, 2012, 540, 519, 3879, 686, 748, 21829, 2782, 17189, 5869, 267, 2155, 617, 648, 3627, 31550, 269, 8189, 539, 593, 5181, 476, 278, 267, 476, 4198, 277, 267, 31550, 6039, 476, 2918, 1296, 538, 519, 9533, 543, 7414, 18307, 564, 269, 31550, 6462, 519, 476, 4198, 279, 13149, 543, 8136, 23197, 1770, 13941, 538, 2142, 597, 583, 267, 26288, 269, 769, 476, 3422, 273, 267, 621, 729, 513, 4759, 540, 519, 4305, 3196, 602, 27170, 1441, 18010, 538, 3210, 547, 2963, 602, 8168, 28862, 1185, 1044, 8704, 593, 519, 6532, 269, 769, 10476, 267, 519, 6861, 518, 13234, 538, 519, 631, 2131, 784, 18647, 543, 6462, 20491, 17677, 26267, 267, 519, 4102, 19917, 1190, 5106, 2094, 519, 2244, 902, 538, 9705, 269, 31550, 729, 20295, 609, 21006, 811, 982, 476, 272, 267, 1822, 10546, 3889, 267, 543, 585, 922, 3028, 538, 519, 10476, 4655, 31550, 12236, 1079, 6370, 6801, 269, 769, 519, 2038, 476, 3192, 271, 338, 621, 729, 1753, 19959, 538, 18603, 267, 10255, 267, 607, 851, 540, 519, 13108, 781, 4464, 17293, 1982, 563, 2690, 811, 1344, 827, 26712, 31550, 267, 3346, 519, 25220, 8081, 11314, 6115, 5398, 16457, 8433, 693, 476, 4510, 274, 268, 29580, 268, 277, 4792, 274, 269, 0, 1432, 568, 9473, 18730, 11485, 888, 288, 19319, 547, 2679, 5321, 547, 971, 513, 1164, 1377, 540, 2011, 9395, 1145, 568, 789, 616, 811, 12155, 547, 4835, 28198, 543, 22285, 2208, 563, 19465, 6042, 2832, 547, 2048, 1228, 638, 2299, 2149, 685, 5656, 689, 1312, 26300, 527, 658, 543, 2627, 28198, 269, 17183, 28198, 666, 2049, 1141, 4389, 2157, 540, 13471, 1711, 513, 4411, 1448, 593, 513, 1880, 3774, 267, 8122, 610, 6989, 269, 3955, 560, 527, 658, 28198, 666, 2049, 1141, 32350, 666, 1628, 909, 1369, 513, 4070, 609, 1100, 1797, 540, 29400, 563, 2691, 568, 9473, 18730, 11485, 5811, 2838, 888, 2252, 596, 616, 2324, 547, 513, 14850, 335, 5803, 4070, 267, 610, 616, 14335, 513, 25810, 267, 707, 1374, 786, 811, 2693, 547, 991, 3606, 11974, 547, 2327, 28198, 3884, 1406, 2469, 547, 581, 513, 1966, 563, 4322, 9273, 616, 1419, 6192, 607, 851, 540, 519, 2143, 1374, 547, 2327, 519, 6069, 2679, 15118, 2388, 543, 4070, 616, 2966, 547, 3970, 519, 1981, 540, 28198, 8108, 563, 763, 2037, 1120, 626, 13979, 454, 5978, 4879, 6887, 666, 2708, 1312, 2010, 540, 28198, 2079, 267, 543, 666, 1711, 9273, 585, 6272, 543, 25481, 540, 782, 2010, 563, 30812, 18730, 2079, 568, 5702, 5532, 547, 8143, 28043, 2079, 543, 772, 268, 11749, 1132, 1107, 891, 2533, 616, 849, 2139, 689, 2037, 1120, 626, 269, 0, 288, 3659, 543, 24158, 540, 590, 1952, 14833, 945, 568, 26518, 538, 1896, 15998, 267, 1034, 14916, 538, 968, 293, 4048, 618, 476, 9834, 1848, 2701, 5526, 3006, 607, 590, 1952, 14833, 779, 11537, 855, 3006, 607, 519, 20494, 1324, 24158, 540, 1776, 4807, 267, 799, 814, 3366, 547, 1454, 25127, 827, 519, 2470, 540, 741, 2078, 563, 1103, 968, 293, 4048, 618, 476, 1626, 2223, 519, 10584, 19776, 1200, 547, 24796, 540, 31684, 543, 22378, 985, 1200, 851, 532, 269, 2701, 729, 2693, 513, 24158, 540, 590, 1952, 14833, 563, 763, 17754, 4807, 9310, 547, 1261, 19241, 528, 269, 5259, 29631, 4137, 945, 849, 5526, 538, 634, 594, 2993, 611, 563, 763, 5259, 15831, 540, 2648, 547, 7247, 1454, 540, 590, 1952, 14833, 779, 6965, 568, 13991, 610, 6131, 269, 590, 1952, 14833, 1915, 3278, 1200, 607, 32161, 267, 3532, 267, 524, 7342, 543, 4190, 269, 2701, 568, 3006, 4857, 607, 19109, 1440, 529, 267, 513, 2012, 799, 2501, 689, 19109, 2889, 338, 267, 610, 30259, 267, 1141, 589, 874, 16967, 924, 729, 4535, 563, 6624, 540, 590, 1952, 14833, 779, 9954, 4099, 1472, 606, 796, 24887, 4807, 945, 568, 11537, 269, 10705, 267, 891, 2021, 616, 9619, 538, 519, 2034, 1268, 676, 519, 10584, 543, 616, 519, 1843, 540, 1200, 1860, 687, 267, 855, 711, 2141, 1765, 968, 293, 4048, 618, 476, 9834, 2223, 585, 1383, 267, 7740, 1472, 519, 8977, 539, 24158, 540, 513, 4807, 3957, 2311, 10472, 563, 763, 5259, 15831, 540, 519, 667, 11921, 267, 849, 3957, 661, 657, 269, 2701, 8593, 538, 2648, 609, 519, 6180, 531, 570, 603, 517, 657, 563, 295, 2131, 30004, 729, 513, 13584, 540, 31684, 543, 519, 6574, 18858, 13568, 24116, 267, 9310, 547, 1656, 668, 5995, 269, 1261, 568, 7166, 676, 31456, 607, 20947, 585, 519, 2669, 540, 4793, 549, 1816, 267, 31456, 685, 24158, 269, 1261, 568, 513, 5259, 29631, 4137, 945, 849, 5526, 538, 634, 594, 2993, 611, 563, 13900, 523, 540, 31684, 454, 9515, 2451, 1200, 1975, 691, 534, 9393, 267, 3751, 9093, 601, 9476, 267, 543, 19679, 547, 31684, 547, 581, 609, 8303, 267, 513, 18858, 13568, 19036, 269, 769, 1427, 9084, 267, 9093, 601, 9476, 543, 1010, 7015, 10294, 2112, 547, 29379, 1200, 267, 3976, 4098, 519, 18858, 13568, 2782, 269, 2701, 568, 513, 5259, 29631, 4137, 945, 849, 5526, 538, 634, 594, 2993, 611, 563, 27306, 2967, 657, 568, 513, 16190, 18858, 13568, 28034, 945, 849, 5526, 538, 634, 594, 2993, 611, 563, 31528, 5601, 2221, 811, 4922, 1634, 607, 21011, 269, 590, 1952, 14833, 22842, 1864, 607, 519, 5601, 540, 519, 11430, 516, 267, 513, 2186, 540, 3771, 335, 563, 21914, 540, 31684, 543, 1261, 19241, 528, 781, 4651, 269, 1261, 568, 513, 5259, 29631, 4137, 945, 849, 5526, 538, 634, 594, 2993, 611, 563, 306, 1952, 14833, 8100, 9887, 676, 2012, 538, 1896, 9954, 269, 8625, 267, 891, 9954, 7291, 1200, 1915, 607, 513, 581, 516, 8491, 24158, 267, 513, 7928, 5083, 21838, 540, 2021, 267, 543, 513, 25058, 324, 540, 589, 874, 16967, 924, 269, 898, 779, 1271, 547, 16174, 590, 1952, 14833, 607, 10584, 543, 1915, 689, 590, 1952, 14833, 519, 10564, 269, 590, 1952, 14833, 519, 10564, 949, 2328, 609, 513, 1114, 5133, 267, 610, 689, 1776, 942, 267, 689, 519, 1268, 320, 1352, 4564, 538, 1200, 6965, 269, 634, 1268, 4330, 538, 519, 1585, 15998, 799, 4183, 1200, 3884, 1405, 9985, 23887, 1765, 1721, 1383, 267, 519, 834, 306, 1952, 14833, 257, 945, 669, 1162, 4807, 1310, 4807, 538, 834, 293, 4048, 618, 476, 272, 257, 4667, 1360, 1114, 689, 519, 590, 1952, 14833, 945, 2712, 2471, 513, 8977, 532, 24158, 547, 17743, 538, 3965, 538, 834, 293, 4048, 618, 476, 11463, 1701, 769, 713, 3391, 267, 519, 2012, 540, 519, 1915, 968, 306, 1952, 14833, 892, 568, 538, 19722, 7436, 547, 5815, 1141, 519, 2012, 568, 513, 19722, 689, 519, 6648, 267, 543, 547, 10646, 713, 1915, 689, 519, 5639, 540, 519, 10564, 9887, 267, 4171, 5133, 568, 1419, 811, 7294, 563, 7212, 590, 1952, 14833, 568, 3006, 3957, 607, 519, 10584, 267, 1082, 540, 519, 15998, 616, 811, 683, 12712, 748, 269, 18623, 723, 1179, 4327, 602, 930, 1568, 616, 2854, 538, 519, 5639, 540, 1585, 12473, 5869, 1149, 267, 543, 1866, 949, 723, 1044, 2854, 585, 513, 1895, 267, 610, 547, 17932, 519, 9739, 540, 519, 10564, 781, 2828, 563, 1103, 5259, 13299, 267, 570, 603, 517, 657, 729, 513, 4190, 19036, 945, 519, 15831, 540, 519, 667, 11921, 8593, 538, 2648, 609, 269, 2701, 4280, 28736, 547, 9886, 1864, 23629, 1275, 267, 855, 29709, 547, 2307, 585, 18163, 6107, 269, 570, 603, 517, 657, 3976, 9907, 11014, 267, 5555, 3395, 865, 695, 14725, 5287, 543, 23743, 1194, 602, 646, 5828, 883, 513, 6371, 7749, 704, 563, 306, 1952, 14833, 281, 31888, 543, 32746, 906, 5999, 543, 12226, 454, 763, 7726, 543, 8382, 3296, 585, 590, 1952, 14833, 281, 31888, 543, 32746, 906, 568, 513, 1390, 454, 637, 1830, 547, 2307, 2055, 267, 1265, 4267, 267, 543, 1865, 519, 3209, 563, 763, 3618, 568, 1419, 513, 3090, 540, 12680, 543, 2208, 630, 18485, 519, 16380, 543, 519, 14564, 814, 513, 15831, 540, 3047, 267, 9919, 637, 543, 5915, 2678, 264, 2094, 950, 5452, 616 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 8188, 269, 3040, 476, 273, 269, 21661, 519, 15174, 780, 274, 269, 1261, 343, 30368, 268, 21661, 519, 674, 2167, 634, 10155, 540, 519, 15279, 6782, 568, 3144, 689, 835, 3068, 547, 519, 6587, 3068, 780, 275, 269, 1261, 343, 30368, 268, 21661, 519, 12397, 619, 634, 10155, 540, 519, 15279, 6782, 568, 3144, 689, 835, 7944, 547, 519, 6587, 7944, 780, 276, 269, 1261, 343, 30368, 910, 1215, 547, 2721, 873, 8571, 5858, 693, 519, 2838, 2450, 269, 1403, 519, 15279, 6782, 568, 547, 581, 476, 2004, 7825, 2066, 519, 15174, 610, 630, 3722, 264, 519, 2721, 513, 5858, 3331, 502, 2004, 269, 1403, 519, 15279, 6782, 568, 547, 581, 476, 2004, 7825, 2066, 519, 8188, 610, 630, 28425, 264, 519, 2721, 513, 5858, 3331, 502, 2004, 780, 277, 269, 1261, 343, 30368, 910, 1215, 547, 2721, 873, 1280, 15279, 30368, 2066, 519, 1166, 1846, 946, 707, 476, 1789, 4113, 270, 2568, 4113, 1305, 4009, 547, 2721, 519, 3515, 547, 1118, 909, 519, 15279, 6782, 269, 634, 15279, 6782, 1058, 581, 6537, 3544, 519, 5858, 780, 278, 269, 1261, 343, 30368, 910, 1215, 547, 2721, 873, 1280, 15279, 30368, 2066, 519, 15174, 946, 707, 476, 1789, 4113, 270, 2568, 4113, 1305, 4009, 547, 2721, 519, 3515, 547, 1118, 909, 519, 15279, 6782, 269, 634, 15279, 6782, 1058, 581, 6537, 3330, 519, 5858, 780, 279, 269, 1261, 343, 21192, 2398, 3359, 3040, 1261, 343, 21192, 929, 3359, 616, 2147, 547, 26561, 855, 3079, 540, 2348, 513, 9764, 3444, 3296, 789, 616, 15279, 21192, 780, 280, 269, 1261, 343, 21192, 2398, 3359, 910, 519, 29175, 566, 3767, 649, 786, 2721, 519, 29175, 566, 540, 519, 15279, 21192, 24388, 269, 27551, 27551, 1284, 1294, 1142, 540, 519, 8188, 607, 25965, 609, 519, 11097, 652, 1373, 519, 8998, 269, 29175, 566, 692, 1015, 269, 1261, 343, 21192, 2398, 3359, 910, 519, 4643, 3767, 649, 786, 2721, 519, 4643, 540, 519, 15279, 21192, 24388, 269, 5741, 519, 3515, 909, 689, 519, 29175, 566, 269, 29175, 566, 692, 1556, 269, 1261, 343, 21192, 2398, 3359, 910, 519, 4643, 3973, 946, 707, 476, 1789, 270, 2568, 1305, 4009, 547, 2347, 269, 4643, 29175, 566, 692, 1321, 269, 1261, 343, 21192, 2398, 3359, 910, 519, 7736, 29175, 566, 8571, 513, 476, 3393, 4113, 689, 519, 1283, 1318, 1688, 7944, 540, 519, 29175, 566, 269, 901, 476, 3393, 4113, 1899, 568, 1572, 513, 25483, 1899, 269, 4643, 29175, 566, 692, 1724, 269, 1261, 343, 21192, 2398, 3359, 910, 519, 7736, 29175, 566, 5741, 519, 3178, 540, 519, 3625, 2066, 547, 519, 25483, 1899, 1287, 1141, 789, 12969, 1788, 1524, 269, 4643, 29175, 566, 692, 1691, 269, 1261, 343, 21192, 2398, 3359, 910, 519, 7736, 29175, 566, 3767, 1788, 519, 15627, 2066, 689, 519, 29175, 566, 547, 2347, 269, 4643, 29175, 566, 7736, 29175, 566, 692, 1428, 269, 1261, 343, 21192, 2398, 3359, 910, 519, 7388, 1540, 13106, 4919, 4643, 29175, 566, 7736, 29175, 566, 692, 1626, 269, 1261, 343, 21192, 2398, 3359, 910, 2060, 595, 7491, 3040, 6884, 519, 1283, 610, 519, 5377, 630, 528, 1312, 540, 891, 264, 616, 22872, 1055, 519, 24388, 269, 901, 1223, 581, 952, 519, 24388, 729, 585, 513, 6003, 610, 4859, 585, 1945, 269, 3040, 1924, 875, 798, 649, 2721, 713, 286, 3040, 634, 1985, 1906, 15942, 786, 1397, 721, 780, 1704, 269, 12338, 1261, 343, 21192, 2398, 3359, 910, 519, 29175, 566, 23657, 519, 29175, 566, 610, 7736, 29175, 566, 786, 7363, 581, 2016, 6537, 585, 596, 269, 4475, 267, 596, 786, 723, 547, 581, 2111, 547, 2697, 873, 269, 20128, 519, 11912, 29175, 566, 692, 1240, 269, 12338, 1261, 343, 21192, 2398, 3359, 910, 519, 4643, 5741, 519, 3515, 909, 689, 519, 29175, 566, 607, 3254, 269, 29175, 566, 692, 866, 269, 12338, 1261, 343, 21192, 2398, 3359, 910, 519, 4643, 2422, 707, 476, 1789, 270, 2568, 1305, 4009, 547, 2347, 519, 3339, 15279, 21192, 3337, 269, 4634, 1498, 519, 1283, 543, 5377, 540, 519, 24388, 723, 1044, 2759, 267, 519, 7291, 689, 519, 1544, 2070, 3788, 519, 1482, 269, 4643, 29175, 566, 692, 736, 269, 12338, 1261, 343, 21192, 2398, 3359, 910, 519, 4643, 3767, 1788, 909, 519, 3515, 689, 1141, 519, 11912, 616, 1500, 269, 4643, 29175, 566, 692, 2641, 269, 12338, 1261, 343, 21192, 2398, 3359, 910, 519, 4643, 3767, 4158, 523, 538, 891, 3515, 593, 519, 1544, 269, 1411, 4465, 1406, 581, 2111, 547, 1294, 519, 2759, 593, 519, 5377, 540, 519, 24388, 865, 621, 786, 581, 6537, 607, 513, 6456, 1469, 1899, 269, 4643, 29175, 566, 692, 2420, 269, 12338, 1261, 343, 21192, 2398, 3359, 910, 519, 7736, 29175, 566, 3767, 602, 519, 1544, 568, 2347, 649, 723, 547, 2721, 519, 7736, 29175, 566, 269, 6969, 649, 666, 2721, 938, 476, 3393, 4113, 25483, 1899, 649, 723, 547, 1265, 856, 1141, 519, 1283, 1318, 1688, 7944, 540, 519, 29175, 566, 568, 269, 4643, 1677, 798, 713, 8831, 519, 1283, 2066, 543, 519, 2427, 909, 269, 8571, 707, 476, 3393, 4113, 25483, 1899, 689, 1141, 789, 3444, 269, 29175, 566, 692, 2537, 269, 12338, 1261, 343, 21192, 2398, 3359, 910, 519, 7736, 29175, 566, 5741, 519, 3178, 540, 519, 3625, 2066, 547, 519, 25483, 1899, 1287, 1141, 789, 12969, 1788, 1524, 269, 4643, 29175, 566, 692, 2190, 269, 12338, 1261, 343, 21192, 2398, 3359, 910, 519, 7736, 29175, 566, 3767, 1788, 519, 15627, 2066, 689, 519, 29175, 566, 547, 2347, 269, 4643, 29175, 566, 7736, 29175, 566, 692, 1839, 269, 12338, 1261, 343, 21192, 2398, 3359, 910, 519, 7736, 29175, 566, 901, 3337, 5654, 26101, 855, 3314, 267, 972, 616, 476, 277, 15174, 543, 8188, 540, 519, 3337, 865, 519, 11912, 666, 1152, 979, 547, 519, 15174, 269, 4643, 29175, 566, 7736, 29175, 566, 692, 2918, 269, 1261, 343, 21192, 2398, 3359, 910, 519, 4886, 3040, 589, 1646, 568, 513, 6366, 10959, 540, 513, 476, 274, 291, 3337, 602, 950, 25649, 909, 538, 519, 2953, 1259, 2306, 519, 4890, 3337, 540, 519, 476, 274, 291, 1843, 269, 3040, 3763, 906, 616, 3226, 3730, 950, 20592, 1007, 1374, 2093, 610, 547, 5965, 585, 24208, 5546, 538, 6656, 4496, 780, 2767, 269, 1261, 343, 21192, 2398, 3359, 910, 519, 4886, 3371, 519, 1646, 540, 519, 5011, 786, 581, 6537, 269, 901, 1281, 711, 1331, 519, 1283, 543, 5377, 540, 519, 24388, 269, 5741, 519, 4463, 540, 519, 24388, 2066, 519, 2985, 269, 4643, 29175, 566, 692, 2764, 269, 1261, 343, 21192, 2398, 3359, 910, 519, 4886, 3767, 267, 1210, 513, 22315, 267, 1900, 856, 519, 13080, 540, 1142, 2427, 5196, 891, 3515, 269, 8571, 7299, 3515, 693, 1142, 540, 891, 2798, 269, 4643, 29175, 566, 692, 3066, 269, 1261, 343, 21192, 2398, 3359, 910, 519, 4886, 476, 277, 476, 272, 1677, 1118, 1919, 4443, 649, 1297, 1142, 540, 519, 15174, 540, 519, 15279, 6782, 269, 476, 276, 476, 273, 1684, 713, 607, 3254, 593, 519, 4643, 267, 29175, 566, 543, 1646, 269, 476, 275, 476, 274, 476, 272, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 272, 4643, 589, 1646, 2141, 6238, 543, 7475, 609, 519, 1482, 22921, 7944, 269, 1879, 621, 26642, 909, 891, 1058, 2743, 269, 3371, 835, 1297, 568, 1657, 519, 824, 269, 901, 568, 1317, 7944, 1297, 476, 274, 568, 538, 4395, 540, 7944, 476, 272, 269, 476, 276, 476, 275, 476, 273, 476, 274, 29175, 566, 476, 277, 476, 272, 692, 1789, 269, 1261, 343, 21192, 2398, 3359, 910, 519, 4886, 476, 277, 476, 272, 5741, 519, 11912, 2066, 5196, 519, 1646, 16287, 519, 3617, 15174, 607, 596, 979, 269, 476, 276, 476, 273, 476, 275, 476, 274, 476, 272, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 272, 4643, 476, 276, 476, 275, 476, 273, 476, 274, 29175, 566, 476, 277, 476, 272, 692, 4029, 269, 1261, 343, 21192, 2398, 3359, 910, 519, 4886, 476, 277, 476, 272, 5741, 519, 11912, 2066, 5196, 519, 1646, 16287, 519, 3617, 15174, 607, 596, 979, 269, 476, 276, 476, 273, 476, 275, 476, 274, 476, 272, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 272, 4643, 476, 276, 476, 275, 476, 273, 476, 274, 29175, 566, 476, 277, 476, 272, 692, 3953, 269, 1261, 343, 21192, 2398, 3359, 910, 519, 4886, 476, 277, 476, 272, 5741, 519, 11912, 2066, 5196, 519, 1646, 16287, 519, 3617, 15174, 607, 596, 979, 269, 476, 276, 476, 273, 476, 275, 476, 274, 476, 272, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 272, 4643, 476, 276, 476, 275, 476, 273, 476, 274, 29175, 566, 476, 277, 476, 272, 692, 3451, 269, 1261, 343, 21192, 2398, 3359, 910, 519, 4886, 476, 277, 476, 272, 5741, 519, 11912, 2066, 5196, 519, 1646, 16287, 519, 3617, 15174, 607, 596, 979, 269, 476, 276, 476, 273, 476, 275, 476, 274, 476, 272, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 272, 4643, 476, 276, 476, 275, 476, 273, 476, 274, 29175, 566, 476, 277, 476, 272, 692, 4097, 269, 1261, 343, 21192, 2398, 3359, 910, 519, 4886, 476, 277, 476, 272, 5741, 519, 11912, 2066, 5196, 519, 1646, 16287, 519, 3617, 15174, 607, 596, 979, 269, 476, 276, 476, 273, 476, 275, 476, 274, 476, 272, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 272, 4643, 476, 276, 476, 275, 476, 273, 476, 274, 29175, 566, 476, 277, 476, 272, 692, 3374, 269, 1261, 343, 21192, 2398, 3359, 910, 519, 4886, 476, 277, 476, 272, 5741, 519, 11912, 2066, 5196, 519, 1646, 16287, 519, 3617, 15174, 607, 596, 979, 269, 476, 276, 476, 273, 476, 275, 476, 274, 476, 272, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 272, 4643, 476, 276, 476, 275, 476, 273, 476, 274, 29175, 566, 476, 277, 476, 272, 692, 3607, 269, 1261, 343, 21192, 2398, 3359, 910, 519, 4886, 476, 277, 476, 272, 3767, 6443, 707, 15956, 909, 547, 2347, 519, 1646, 269, 476, 276, 476, 273, 1306, 519, 15279, 21192, 24388, 814, 1100, 14258, 267, 946, 513, 2786, 6316, 547, 6443, 519, 15956, 269, 476, 275, 476, 274, 476, 272, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 272, 4643, 476, 276, 476, 275, 476, 273, 476, 274, 29175, 566, 476, 277, 476, 272, 692, 4391, 269, 1261, 343, 21192, 2398, 3359, 910, 519, 4886, 476, 277, 476, 272, 3371, 568, 513, 20501, 2070, 540, 519, 2347, 1646, 269, 476, 276, 476, 273, 476, 275, 476, 274, 476, 272, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 272, 4643, 476, 276, 476, 275, 476, 273, 476, 274, 29175, 566, 476, 277, 476, 272, 692, 4343, 269, 1261, 343, 30368, 1299, 1261, 343, 21192, 2398, 3359, 3040, 1261, 343, 30368, 616, 476, 277, 521, 3660, 5546, 269, 3040, 1261, 343, 30368, 666, 581, 10155, 539, 589, 22077, 610, 589, 14727, 269, 3040, 634, 15174, 1058, 581, 22921, 950, 5373, 15279, 21192, 929, 3359, 547, 1118, 621, 4443, 547, 2995, 1141, 11912, 979, 269, 3040, 589, 1646, 786, 16784, 909, 547, 1118, 513, 476, 274, 291, 2203, 540, 519, 1843, 269, 0, 15612, 639, 2986, 2290, 7464, 24438, 1107, 1635, 623, 26907, 13690, 966, 532, 3848, 476, 272, 281, 7799, 1080, 1656, 8033, 8462, 1107, 8791, 476, 272, 269, 272, 269, 272, 281, 7799, 1080, 476, 272, 269, 272, 269, 272, 7799, 1080, 692, 476, 272, 269, 18882, 2986, 634, 10417, 2986, 7799, 1080, 692, 307, 836, 757, 692, 288, 17242, 547, 513, 5858, 568, 513, 2786, 1899, 602, 12969, 338, 519, 5858, 693, 513, 2582, 1448, 269, 6423, 8431, 269, 476, 272, 269, 272, 269, 1924, 666, 649, 5581, 513, 17242, 454, 1729, 606, 17062, 7455, 607, 513, 2786, 1899, 602, 12969, 338, 519, 7455, 693, 513, 2582, 1448, 286, 1677, 1265, 856, 1577, 781, 1413, 693, 8431, 269, 476, 272, 269, 273, 269, 22682, 692, 8431, 269, 476, 272, 269, 272, 5231, 19358, 550, 547, 513, 5858, 12969, 338, 5858, 693, 513, 2582, 1448, 780, 8431, 269, 476, 272, 269, 273, 5231, 570, 272, 281, 513, 17242, 267, 570, 273, 281, 513, 17242, 267, 590, 281, 711, 513, 17242, 780, 1467, 570, 272, 12969, 338, 7455, 595, 693, 513, 2582, 1448, 543, 568, 513, 17242, 547, 595, 267, 1899, 570, 273, 12969, 338, 595, 693, 811, 982, 476, 272, 1448, 543, 568, 17242, 454, 1729, 454 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2729, 543, 2149, 741, 4690, 267, 1256, 952, 621, 5921, 1210, 3196, 610, 5208, 1996, 1866, 269, 20122, 15816, 5156, 602, 7787, 2043, 1131, 5431, 519, 13766, 540, 29400, 713, 29450, 545, 1533, 676, 32380, 21704, 532, 930, 540, 741, 22624, 547, 513, 18678, 6392, 267, 9591, 513, 1514, 4579, 602, 1131, 1291, 547, 519, 5137, 540, 513, 2178, 543, 6207, 2229, 9789, 2274, 12858, 11936, 563, 299, 665, 651, 779, 1230, 4003, 540, 519, 3557, 540, 7186, 454, 11990, 28676, 267, 538, 1010, 9565, 960, 968, 10521, 6164, 2478, 540, 6554, 892, 630, 12739, 280, 1070, 4843, 513, 811, 23904, 2070, 540, 519, 1533, 540, 2470, 3379, 547, 20122, 15816, 269, 4340, 547, 28676, 267, 519, 1533, 540, 2470, 729, 513, 1533, 540, 3501, 5191, 543, 7862, 267, 1141, 2043, 10150, 2067, 2924, 547, 1272, 267, 15698, 267, 543, 3959, 630, 299, 665, 651, 267, 476, 12739, 280, 1040, 9521, 20122, 15816, 267, 28676, 1705, 711, 3494, 602, 519, 1533, 540, 2470, 8209, 3366, 547, 14784, 543, 5208, 269, 5502, 267, 646, 11130, 602, 2043, 1185, 519, 7915, 4390, 547, 2601, 543, 1246, 2067, 4031, 563, 1103, 519, 1533, 540, 2470, 267, 3025, 1185, 519, 1318, 547, 2149, 741, 1272, 267, 15698, 267, 543, 3959, 267, 543, 2043, 941, 4397, 547, 19439, 1346, 945, 26991, 891, 2924, 269, 1717, 267, 28676, 17019, 602, 7526, 1223, 8451, 538, 519, 9000, 540, 513, 21438, 6392, 547, 18836, 6053, 7755, 644, 6510, 13882, 269, 1261, 5156, 602, 519, 1533, 540, 2470, 26218, 606, 2500, 543, 28102, 1062, 540, 5126, 267, 3056, 2043, 547, 2097, 1927, 543, 3715, 513, 3540, 2486, 998, 513, 1514, 4579, 269, 634, 3119, 3483, 540, 713, 4579, 729, 547, 5150, 519, 2067, 2924, 540, 2043, 543, 1711, 513, 3908, 2229, 602, 6508, 922, 6392, 689, 519, 9844, 540, 519, 18170, 563, 305, 28907, 879, 779, 1230, 4003, 540, 519, 3557, 540, 7186, 454, 297, 6756, 11219, 659, 13196, 681, 28907, 879, 267, 538, 1010, 9565, 960, 968, 763, 4317, 20260, 892, 630, 12293, 273, 1070, 4843, 513, 17804, 2070, 540, 519, 1533, 540, 2470, 3379, 547, 1312, 20122, 15816, 543, 28676, 269, 681, 28907, 879, 9763, 519, 1533, 540, 2470, 607, 513, 12560, 543, 18900, 6228, 267, 1141, 3425, 5030, 538, 18642, 16134, 267, 1863, 689, 519, 18348, 687, 540, 2486, 630, 305, 28907, 879, 267, 476, 12293, 273, 1040, 769, 1010, 2070, 267, 621, 729, 519, 11944, 540, 4357, 3959, 543, 519, 1646, 540, 8635, 602, 22314, 713, 7329, 22690, 545, 1533, 543, 3366, 547, 1514, 476, 1571, 563, 305, 28907, 879, 11130, 602, 538, 519, 1533, 540, 2470, 267, 2043, 941, 1582, 1606, 11211, 543, 26218, 519, 642, 1182, 2404, 609, 10340, 269, 1703, 729, 1100, 1523, 540, 3959, 9562, 610, 1514, 21441, 267, 543, 1004, 5030, 538, 8994, 9316, 543, 10103, 269, 1717, 267, 609, 519, 4417, 540, 6683, 543, 519, 10661, 540, 3959, 2924, 267, 16526, 7153, 267, 3056, 547, 519, 4473, 540, 6608, 543, 519, 14226, 540, 519, 4617, 676, 519, 3532, 563, 6097, 547, 681, 28907, 879, 267, 519, 1514, 4579, 729, 5921, 547, 2232, 519, 1966, 540, 8635, 543, 11177, 5191, 543, 5126, 269, 1261, 6069, 513, 7104, 1514, 4579, 602, 6322, 547, 1711, 513, 2486, 18170, 676, 519, 968, 2102, 1968, 786, 892, 540, 519, 1004, 269, 901, 2489, 786, 729, 711, 547, 581, 11821, 609, 519, 6071, 2040, 540, 1367, 786, 338, 855, 2864, 6719, 1018, 729, 538, 519, 1655, 1719, 540, 519, 2146, 607, 513, 2898, 269, 769, 713, 1259, 267, 681, 28907, 879, 8179, 547, 31363, 1367, 5191, 609, 519, 1455, 1434, 563, 295, 984, 15816, 267, 28676, 267, 543, 681, 28907, 879, 779, 1523, 687, 540, 519, 1533, 540, 2470, 11651, 3022, 3648, 267, 609, 20122, 15816, 10771, 519, 13766, 540, 513, 2178, 267, 21438, 6392, 267, 28676, 14957, 585, 513, 3908, 2229, 1759, 593, 519, 9844, 540, 519, 18170, 267, 543, 681, 28907, 879, 3981, 532, 513, 7104, 1514, 4579, 602, 6322, 547, 11177, 7862, 543, 10103, 563, 295, 984, 15816, 543, 28676, 1312, 5156, 602, 519, 1533, 540, 2470, 729, 513, 19858, 4020, 267, 513, 2219, 4603, 547, 9414, 519, 5169, 540, 2797, 6392, 543, 519, 991, 585, 2229, 269, 769, 4334, 267, 681, 28907, 879, 4843, 513, 811, 11509, 1242, 2070, 540, 519, 1533, 540, 2470, 267, 6236, 621, 607, 513, 3140, 4641, 1354, 519, 4417, 540, 6896, 2486, 563, 4407, 20122, 15816, 543, 28676, 9763, 1480, 2470, 538, 513, 10169, 533, 612, 574, 2065, 1769, 267, 609, 20122, 15816, 10771, 1582, 29027, 543, 6735, 543, 28676, 10223, 519, 1761, 585, 4655, 267, 681, 28907, 879, 4718, 1480, 2470, 607, 20244, 1434, 543, 18756, 1354, 519, 18348, 532, 3310, 540, 6848, 3889, 563, 5194, 1883, 3017, 6013, 538, 741, 5784, 593, 519, 1514, 4579, 269, 1280, 20122, 15816, 267, 519, 1514, 4579, 729, 606, 6876, 1851, 2043, 547, 21704, 741, 2067, 23118, 547, 513, 19988, 6392, 585, 519, 19160, 540, 3354, 543, 1931, 269, 28676, 267, 593, 519, 824, 1688, 267, 4718, 519, 1514, 4579, 607, 606, 6876, 547, 2149, 2067, 2924, 267, 5097, 2519, 593, 1272, 267, 15698, 267, 543, 3959, 269, 681, 28907, 879, 779, 1514, 4579, 267, 607, 5018, 4505, 267, 6322, 547, 1711, 513, 2486, 1759, 593, 519, 2489, 786, 267, 799, 646, 5156, 1131, 3895, 519, 1455, 1434, 543, 16102, 1367, 5191, 563, 3412, 4124, 593, 11572, 7869, 454, 763, 17804, 5784, 540, 519, 1533, 540, 2470, 543, 519, 1514, 4579, 2322, 8521, 676, 20122, 15816, 267, 28676, 267, 543, 681, 28907, 879, 723, 7096, 6286, 593, 2797, 3069, 543, 519, 1909, 540, 2229, 538, 2486, 563, 295, 984, 15816, 685, 3069, 1175, 5809, 513, 2178, 543, 21438, 2229, 609, 6207, 6392, 547, 2226, 1876, 543, 1931, 269, 3571, 2274, 12858, 11936, 4564, 606, 782, 27703, 995, 11769, 602, 6585, 513, 26771, 593, 519, 16048, 946, 540, 3196, 267, 4180, 602, 2043, 798, 711, 18992, 547, 5208, 547, 8207, 7526, 269, 2755, 713, 1106, 540, 2229, 949, 16102, 1996, 519, 14784, 540, 519, 1533, 540, 2470, 267, 621, 849, 12651, 4145, 827, 1761, 28407, 540, 1379, 543, 3668, 540, 1367, 22624, 563, 299, 665, 651, 779, 3069, 267, 593, 519, 824, 1688, 267, 15156, 585, 3908, 2229, 267, 1759, 593, 519, 2856, 602, 922, 6392, 24283, 689, 519, 9844, 540, 519, 18170, 269, 634, 3119, 3483, 540, 713, 2229, 568, 547, 2149, 519, 2067, 2924, 540, 2043, 267, 543, 952, 621, 14543, 547, 798, 865, 267, 519, 1004, 723, 519, 1318, 547, 27693, 543, 3715, 513, 1007, 2229, 269, 901, 1523, 9788, 519, 24536, 585, 12666, 1629, 31097, 267, 10771, 1367, 2924, 543, 519, 2856, 540, 18177, 543, 11347, 2229, 563, 305, 28907, 879, 779, 3069, 2591, 519, 26117, 540, 4357, 3959, 543, 1514, 8635, 267, 5275, 547, 1711, 513, 2486, 11461, 676, 519, 7104, 786, 540, 519, 1004, 269, 1717, 267, 13915, 8044, 602, 1010, 5075, 540, 519, 2489, 786, 1522, 16401, 1367, 23118, 543, 1291, 547, 2101, 9107, 28112, 15967, 563, 1103, 3932, 267, 519, 1533, 540, 2470, 5713, 607, 513, 7811, 1523, 547, 1174, 8103, 779, 840, 27791, 2783, 543, 519, 18144, 585, 9591, 3540, 2486, 269, 20122, 15816, 267, 28676, 267, 543, 681, 28907, 879, 6035, 3982, 5380, 593, 519, 1533, 540, 2470, 267, 10452, 741, 18312, 4978, 827, 1480, 2470, 543, 519, 1909, 540, 2229, 269, 20122, 15816, 685, 533, 612, 574, 2065, 2070, 3366, 1864, 547, 12167, 585, 606, 6207, 2229, 547, 1964, 1778, 1480, 26756, 267, 1247, 28676, 779, 27277, 5483, 1010, 5075, 540, 513, 3908, 2229, 1759, 593, 9844, 543, 519, 4027, 540, 1367, 2924, 269, 681, 28907, 879, 779, 11509, 1242, 1533, 540, 2470, 6273, 1010, 1289, 585, 513, 7104, 1514, 4579, 602, 6322, 547, 11177, 7862, 543, 10103, 563, 763, 9840, 1063, 891, 9565, 17024, 723, 1185, 2484, 23568, 4539, 593, 2797, 3069, 543, 3136, 547, 3310, 2413, 10350, 269, 20122, 15816, 685, 3069, 814, 1044, 1031, 547, 17854, 28974, 20816, 267, 1141, 513, 2178, 3844, 6392, 16401, 525, 1367, 22624, 547, 2226, 1931, 543, 6617, 269, 28676, 779, 2093, 267, 593, 519, 824, 1688, 267, 723, 5129, 513, 2629, 1909, 538, 5935, 519, 5748, 540, 12666, 1629, 31097, 269, 681, 28907, 879, 779, 1523, 540, 519, 2489, 786, 814, 17275, 9840, 827, 519, 3666, 1063, 1367, 23118, 543, 519, 7104, 1434, 563, 8139, 519, 16082, 543, 6286, 540, 741, 6436, 2488, 3407, 4030, 883, 519, 10848, 540, 2797, 6138, 543, 10350, 267, 543, 621, 2591, 721, 547, 2992, 593, 519, 1909, 540, 2229, 538, 17516, 1367, 23118, 1247, 5009, 519, 1455, 1434, 538, 4207, 7239, 563, 295, 984, 15816, 267, 570, 269, 630, 13679, 272, 1040, 2274, 12858, 11936, 269, 5507, 281, 12448, 15867, 5803, 563, 299, 665, 651, 267, 808, 269, 630, 12739, 280, 1040, 5565, 6164, 2478, 540, 6554, 269, 5507, 281, 21220, 985, 5069, 26235, 563, 305, 28907, 879, 267, 808, 11607, 297, 269, 630, 12293, 273, 1040, 634, 4317, 20260, 269, 5507, 281, 717, 269, 667, 269, 543, 808, 269, 20484, 269, 0, 11321, 476, 2420, 476, 1001, 280, 454, 306, 4673, 1773, 28026, 1558, 3627, 28711, 19748, 3000, 538, 476, 6942, 277, 950, 646, 3357, 547, 4993, 547, 1353, 543, 2445, 519, 2199, 2371, 269, 4256, 3838, 1719, 538, 7762, 1415, 1100, 8969, 5129, 513, 851, 538, 741, 2648, 26035, 267, 543, 519, 1079, 941, 9310, 538, 476, 6642, 271, 269, 3627, 4682, 593, 547, 2328, 606, 2272, 540, 741, 24917, 2096, 3019, 538, 476, 6642, 272, 267, 17548, 602, 1010, 7385, 267, 968, 7424, 607, 25981, 543, 607, 13991, 547, 7762, 1415, 607, 594, 267, 729, 519, 1101, 547, 15974, 602, 267, 3079, 540, 519, 8912, 29749, 543, 7199, 3643, 547, 513, 14450, 268, 2897, 267, 7329, 1782, 938, 942, 538, 24631, 1094, 684, 18146, 267, 543, 6947, 547, 25064, 575, 1601, 760, 267, 649, 1058, 7227, 513, 1906, 4374, 267, 1821, 7627, 519, 942, 547, 1353, 282, 1287, 267, 693, 519, 1318, 942, 267, 1118, 513, 6264, 27386, 986, 573, 883, 14151, 267, 543, 2119, 547, 5905, 519, 2295, 540, 13244, 18280, 2088, 3034, 1607, 729, 1100, 6093, 24917, 2096, 3019, 282, 519, 1259, 729, 14869, 543, 2407, 540, 2371, 609, 5247, 985, 543, 838, 1149, 602, 547, 516, 693, 741, 9660, 543, 11251, 2933, 538, 741, 17145, 269, 1358, 4718, 717, 10042, 28749, 543, 678, 25114, 333, 1389, 269, 2353, 540, 741, 3355, 8942, 941, 9087, 6150, 676, 31393, 610, 669, 553, 916, 602, 15286, 873, 689, 2469, 2417, 269, 1358, 5555, 6603, 519, 5207, 8445, 540, 519, 13244, 18280, 21590, 267, 799, 568, 1631, 3957, 6778, 19748, 3000, 267, 538, 30960, 779, 8956, 563, 763, 19748, 332, 976, 8120, 547, 4993, 543, 12306, 538, 18718, 1633, 267, 4259, 909, 519, 19748, 3000, 4173, 321, 10740, 538, 741, 1753, 282, 689, 799, 519, 1079, 14916, 7762, 534, 1242, 519, 4639, 11076, 269, 634, 19748, 332, 976, 2366, 1082, 540, 741, 10070, 547, 519, 1390, 476, 866, 628, 10601, 1977, 7762, 534, 626, 1306, 320, 22630, 585, 8446, 267, 543, 646, 3957, 1082, 2249, 538, 8956, 540, 30960, 543, 3627, 269, 2290, 729, 21862, 807, 20034, 1067, 2801, 267, 2938, 1934, 267, 799, 789, 6394, 1282, 741, 24917, 2096, 3019, 269, 3627, 5747, 538, 476, 5002, 279, 543, 30960, 538, 476, 4572, 274, 269, 4256, 2212, 7723, 14509, 267, 968, 4820, 2996, 538, 7762, 1415, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 288, 696, 3363, 18873, 476, 275, 2725, 692, 21995, 23168, 2329, 270, 23797, 5511, 589, 696, 3363, 692, 4366, 273, 269, 1215, 1082, 1114, 1614, 18251, 2338, 2270, 1312, 519, 7857, 476, 273, 543, 519, 7857, 476, 277, 2496, 630, 320, 264, 476, 7367, 630, 321, 264, 476, 7918, 630, 322, 264, 476, 6321, 630, 323, 264, 476, 2568, 692, 4366, 274, 269, 1306, 851, 540, 513, 1978, 3014, 538, 799, 513, 2780, 6383, 513, 4351, 1297, 1896, 2053, 267, 476, 277, 811, 2338, 3152, 982, 476, 271, 8507, 982, 2338, 1447, 982, 476, 271, 269, 476, 271, 2760, 8507, 269, 1215, 1082, 2053, 729, 519, 1267, 3152, 982, 4642, 888, 263, 272, 264, 476, 273, 811, 2338, 3152, 982, 476, 272, 8507, 982, 2338, 1447, 982, 476, 272, 563, 263, 273, 264, 634, 2040, 540, 782, 519, 2338, 602, 8507, 729, 476, 274, 269, 4037, 780, 630, 320, 264, 15048, 630, 272, 264, 9338, 24535, 568, 6190, 267, 855, 3948, 630, 273, 264, 4805, 568, 711, 6190, 269, 630, 321, 264, 15048, 630, 273, 264, 9338, 24535, 568, 6190, 267, 855, 3948, 630, 272, 264, 4805, 568, 711, 6190, 269, 630, 322, 264, 645, 30862, 6898, 570, 8104, 24518, 2207, 616, 6190, 267, 855, 17252, 18952, 2207, 3948, 9338, 24535, 568, 6190, 269, 630, 323, 264, 32276, 630, 272, 264, 543, 630, 273, 264, 570, 8104, 24518, 2207, 616, 10691, 6190, 780, 307, 5588, 3201, 692, 19547, 9229, 8827, 692, 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, 476, 4375, 476, 2412, 476, 6078, 476, 5655, 476, 6246, 476, 4510, 476, 3393, 476, 5379, 476, 5325, 476, 4366, 476, 5392, 476, 2004, 476, 7906, 476, 7367, 476, 7871, 476, 7918, 476, 4649, 476, 6321, 476, 6872, 476, 6812, 476, 6795, 476, 2568, 476, 8618, 476, 7830, 476, 8287, 476, 5038, 476, 4792, 476, 5780, 476, 6858, 476, 6924, 476, 7597, 476, 3583, 476, 10170, 476, 7761, 476, 10463, 476, 10619, 476, 4037, 476, 10602, 476, 6507, 476, 4281, 476, 8064, 476, 3199, 476, 10037, 476, 11025, 476, 10695, 476, 10019, 476, 5952, 476, 10436, 476, 9262, 476, 6434, 476, 8660, 476, 3445, 476, 11011, 476, 10844, 476, 11152, 476, 11463, 476, 4817, 476, 9834, 476, 9032, 476, 7176, 476, 4200, 476, 1911, 476, 6200, 476, 9083, 476, 9818, 476, 10441, 476, 10755, 476, 11793, 476, 13040, 476, 10482, 476, 11820, 476, 8099, 476, 9340, 476, 12208, 476, 13647, 476, 14625, 476, 12893, 476, 14138, 476, 14056, 476, 14093, 476, 15686, 476, 6344, 476, 13199, 476, 14338, 476, 11277, 476, 14862, 476, 10219, 476, 14695, 476, 14096, 476, 12553, 476, 15782, 476, 9873, 476, 14530, 476, 15171, 476, 15836, 476, 16328, 476, 13670, 476, 15793, 476, 15389, 476, 15946, 476, 16928, 476, 9610, 476, 15221, 476, 16318, 476, 16960, 476, 13893, 476, 13970, 476, 16409, 476, 15704, 476, 16825, 476, 14983, 476, 5611, 476, 14681, 476, 13923, 476, 14631, 476, 15150, 476, 14028, 476, 14444, 476, 14991, 476, 15647, 476, 14689, 476, 8182, 476, 14065, 476, 14341, 476, 14321, 476, 13932, 476, 13679, 476, 14917, 476, 15757, 476, 12739, 476, 15433, 476, 10204, 476, 14378, 476, 15094, 476, 15876, 476, 14690, 476, 11260, 476, 12293, 476, 10082, 476, 9965, 476, 9692, 476, 5197, 476, 8687, 476, 9264, 476, 8146, 476, 7277, 476, 6977, 476, 5908, 476, 6942, 476, 6642, 476, 6245, 476, 5002, 476, 4489, 476, 4572, 476, 4350, 476, 3707, 476, 4198, 476, 3422, 476, 3192, 476, 2735, 476, 1960, 476, 1220, 476, 1001, 476, 1708, 476, 10711, 476, 14225, 476, 13078, 476, 18684, 476, 21709, 476, 21172, 476, 20385, 476, 13975, 476, 21076, 476, 18891, 476, 22659, 476, 20969, 476, 21497, 476, 21327, 476, 24241, 476, 25908, 476, 25546, 476, 13136, 476, 21854, 476, 19442, 476, 23417, 476, 23470, 476, 18597, 476, 26297, 476, 25375, 476, 25248, 476, 26631, 476, 15996, 476, 23211, 476, 22446, 476, 22001, 476, 23056, 476, 20720, 476, 26951, 476, 26801, 476, 24487, 476, 26839, 476, 13301, 476, 25240, 476, 26237, 476, 25838, 476, 28192, 476, 25090, 476, 26727, 476, 26316, 476, 27886, 476, 27149, 476, 7742, 476, 25172, 476, 21857, 476, 26562, 476, 22724, 476, 14838, 476, 16348, 476, 27038, 476, 28670, 476, 28796, 476, 18605, 476, 28360, 476, 26783, 476, 28091, 476, 25784, 476, 25228, 476, 29214, 476, 29045, 476, 28803, 476, 29483, 476, 17734, 476, 27244, 692, 27879, 720, 7335, 7638, 4472, 20603, 6348, 7638, 4472, 20603, 31592, 20603, 4578, 28604, 25705, 30551, 31727, 9978, 23168, 2329, 6168, 2974, 13555, 21041, 8889, 11683, 18873, 14174, 304, 0, 258, 9612, 676, 13445, 692, 2971, 8249, 28562, 609, 15766, 725, 2147, 547, 2806, 1495, 656, 10606, 1384, 23742, 614, 676, 281, 12474, 1826, 912, 21848, 2039, 912, 20806, 3188, 1377, 1384, 2162, 2806, 1495, 656, 10606, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 4366, 568, 1572, 606, 10731, 1297, 1317, 621, 568, 1447, 982, 519, 2040, 540, 922, 2188, 630, 23719, 3294, 1040, 2052, 596, 1265, 930, 811, 10731, 2338, 2496, 2162, 6884, 1284, 700, 846, 12085, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 11039, 1631, 267, 1018, 1131, 4755, 952, 649, 4503, 782, 519, 562, 1149, 538, 938, 1297, 1062, 286, 5620, 513, 979, 693, 1603, 519, 2338, 856, 538, 713, 1259, 543, 723, 513, 1413, 693, 519, 3818, 4124, 3349, 780, 2162, 898, 12984, 476, 1001, 271, 2439, 7462, 6520, 476, 276, 547, 476, 1556, 7420, 5426, 1384, 2252, 519, 2626, 781, 476, 1001, 271, 267, 1018, 1223, 519, 2243, 581, 2496, 2162, 590, 2056, 21998, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 1607, 4161, 12134, 596, 547, 8495, 519, 2698, 1297, 540, 6486, 602, 1131, 581, 2366, 952, 2185, 1453, 6494, 835, 547, 782, 1614, 1866, 269, 1215, 1082, 1131, 581, 2366, 952, 972, 941, 2947, 1453, 286, 14520, 2496, 2162, 18903, 4790, 1218, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 1103, 513, 18903, 12384, 782, 519, 9343, 267, 9587, 543, 32377, 1039, 547, 519, 1412, 300, 20723, 19693, 8339, 1215, 1131, 596, 1689, 519, 9059, 3586, 540, 713, 4009, 2496, 2162, 594, 335, 667, 760, 692, 7462, 6520, 476, 276, 547, 476, 1556, 7420, 5426, 1384, 19285, 335, 16702, 6607, 4544, 256, 5808, 781, 1412, 527, 262, 286, 898, 781, 596, 10590, 7316, 1131, 596, 2990, 3054, 865, 602, 596, 616, 1412, 527, 262, 952, 972, 616, 1079, 5716, 286, 8422, 5716, 3267, 2496, 2162, 13600, 2494, 807, 692, 7462, 6520, 476, 276, 547, 476, 1556, 7420, 5426, 1384, 4692, 596, 1374, 513, 1007, 3337, 585, 519, 8938, 32732, 10945, 543, 6582, 519, 2338, 538, 513, 9266, 1259, 286, 1548, 3270, 798, 596, 5469, 2496, 2162, 25038, 18963, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 1103, 713, 3296, 689, 513, 11706, 267, 2322, 513, 4009, 4216, 1472, 519, 476, 272, 560, 267, 476, 273, 526, 267, 476, 279, 628, 543, 476, 280, 628, 269, 5410, 782, 519, 8424, 540, 2338, 269, 1548, 798, 596, 5469, 827, 519, 4267, 2496, 2162, 2717, 334, 12384, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 6635, 9792, 5216, 540, 519, 2338, 1063, 476, 272, 543, 476, 280, 538, 519, 2717, 334, 12384, 2630, 865, 602, 1142, 2427, 8591, 547, 519, 1482, 2698, 780, 2162, 634, 623, 1221, 13100, 704, 540, 8621, 601, 514, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 1607, 1966, 568, 1759, 593, 519, 1650, 540, 519, 623, 1221, 13100, 704, 540, 8621, 601, 514, 269, 31385, 519, 1114, 2338, 540, 1004, 543, 14148, 972, 1223, 723, 1044, 952, 596, 917, 875, 1082, 7953, 972, 616, 15587, 2439, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 1432, 4523, 950, 596, 1039, 519, 9704, 540, 513, 1297, 1287, 9062, 519, 1267, 676, 476, 273, 543, 596, 1832, 3257, 713, 286, 1411, 1223, 2119, 585, 1114, 2338, 543, 1114, 3652, 780, 2162, 19343, 27148, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 2304, 320, 543, 17664, 6743, 538, 513, 17657, 538, 519, 1140, 545, 269, 1358, 1336, 2025, 27972, 6545, 543, 575, 12495, 267, 22970, 543, 13968, 269, 1215, 1082, 2009, 24853, 1223, 789, 1118, 2496, 2162, 21081, 267, 1215, 6196, 3657, 1411, 2496, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 2691, 24898, 4280, 1010, 20516, 875, 2025, 1352, 568, 267, 646, 4769, 1405, 1205, 513, 3551, 16253, 256, 2052, 596, 960, 856, 875, 2025, 1352, 568, 2496, 2162, 10979, 31201, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 2791, 3112, 3442, 513, 5542, 540, 4672, 8645, 7657, 2293, 602, 2882, 11207, 1018, 2576, 814, 2907, 6074, 269, 5620, 513, 979, 543, 1265, 782, 519, 1114, 2081, 538, 799, 5722, 1453, 666, 723, 4672, 8645, 780, 2162, 1715, 4944, 3639, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 2691, 11356, 3817, 1205, 9674, 693, 1753, 649, 723, 547, 2119, 547, 4990, 873, 856, 543, 1205, 1919, 538, 519, 2953, 1931, 269, 1215, 1082, 2081, 666, 649, 6582, 891, 3817, 865, 602, 519, 1297, 532, 949, 581, 1114, 2496, 2162, 30498, 540, 10606, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 1692, 1082, 1114, 5036, 540, 2338, 609, 693, 2547, 2185, 2818, 666, 596, 1265, 538, 519, 2338, 538, 713, 4216, 2496, 2162, 9335, 9549, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 763, 4161, 1934, 568, 547, 1265, 607, 1082, 11507, 607, 596, 666, 585, 513, 20545, 547, 979, 865, 602, 713, 4884, 568, 5258, 909, 883, 1079, 30556, 267, 1142, 609, 476, 279, 7161, 780, 2162, 3212, 6277, 956, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 20278, 2185, 890, 6277, 956, 593, 519, 5070, 538, 519, 1106, 540, 513, 4009, 269, 5901, 4946, 607, 1906, 890, 6277, 956, 607, 2556, 547, 5595, 519, 1858, 269, 1215, 1082, 3063, 890, 6277, 956, 616, 3773, 1142, 942, 2496, 2162, 9061, 532, 519, 16011, 12384, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 1607, 16602, 4161, 12134, 596, 547, 1265, 2081, 540, 2469, 2066, 25965, 267, 2469, 998, 4010, 4557, 10945, 780, 2162, 7089, 8293, 4100, 692, 7462, 6520, 476, 276, 547, 476, 1556, 7420, 5426, 1384, 9359, 609, 2185, 2338, 693, 519, 15174, 540, 513, 4009, 543, 2322, 519, 2698, 540, 1079, 15174, 538, 519, 1647, 540, 602, 2427, 269, 5901, 2469, 1862, 2052, 596, 7447, 1018, 519, 2450, 540, 519, 2063, 2185, 2338, 786, 581, 2496, 2162, 898, 22955, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 22428, 649, 1450, 6000, 547, 946, 1614, 2338, 1447, 982, 476, 1015, 543, 9062, 873, 1927, 269, 1215, 1082, 1114, 2472, 666, 596, 1265, 286, 1215, 798, 596, 917, 596, 4312, 3893, 873, 782, 2496, 2162, 9335, 14938, 1878, 692, 7462, 6520, 476, 276, 547, 476, 1556, 7420, 5426, 1384, 20059, 580, 622, 1018, 4523, 950, 596, 1039, 2777, 2338, 2059, 513, 8265, 538, 1114, 2081, 780, 2162, 476, 274, 681, 902, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 2252, 596, 723, 1614, 9764, 3615, 267, 596, 1223, 6582, 873, 865, 602, 789, 616, 5094, 267, 15700, 267, 20718, 610, 3330, 1142, 824, 269, 2052, 596, 8495, 782, 519, 1114, 7399, 2496, 2162, 18696, 540, 16199, 1407, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 20059, 580, 622, 713, 3666, 799, 568, 6825, 538, 30556, 269, 1403, 596, 1185, 513, 2597, 593, 519, 2451, 11804, 476, 278, 267, 1141, 1223, 596, 13793, 1079, 12035, 593, 519, 1318, 547, 1118, 621, 3666, 2496, 2162, 2142, 534, 645, 4711, 585, 24527, 781, 20045, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 1692, 1223, 596, 2322, 5216, 21167, 321, 4711, 538, 519, 11876, 3591, 865, 602, 972, 616, 2185, 538, 519, 4544, 11876, 641, 267, 2947, 538, 519, 2699, 543, 3670, 538, 519, 5835, 286, 2052, 596, 1265, 782, 519, 2081 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3564, 519, 9165, 540, 713, 1353, 267, 519, 4152, 540, 519, 970, 839, 2225, 607, 851, 540, 938, 1101, 8367, 568, 3908, 547, 1106, 6819, 11134, 10832, 1759, 593, 7422, 538, 513, 2582, 1353, 1858, 563, 268, 962, 4526, 476, 10522, 602, 972, 568, 513, 2582, 267, 1134, 20452, 4756, 602, 666, 581, 18505, 1042, 689, 1114, 1239, 2959, 267, 799, 568, 711, 519, 2013, 538, 3964, 3332, 2901, 609, 5117, 8699, 610, 609, 2916, 1689, 269, 2755, 971, 513, 4756, 568, 3989, 538, 519, 6396, 1670, 17563, 998, 519, 946, 540, 7379, 4994, 267, 621, 814, 711, 2943, 1044, 1031, 547, 21656, 18904, 308, 6938, 476, 1220, 271, 6870, 2127, 630, 10175, 938, 1353, 1858, 1916, 268, 634, 1932, 1804, 4336, 540, 1239, 6508, 689, 2916, 3631, 630, 324, 977, 1947, 519, 3003, 1353, 1858, 568, 4988, 676, 513, 1507, 1297, 540, 19641, 264, 2306, 873, 1932, 21432, 585, 12747, 4393, 2394, 6325, 17498, 322, 2718, 568, 2919, 12544, 1966, 5185, 1256, 538, 1239, 3638, 2127, 899, 519, 4872, 602, 991, 811, 2143, 20327, 547, 10994, 4683, 3002, 10195, 630, 1492, 7965, 540, 17498, 322, 2718, 2916, 3631, 616, 7805, 689, 519, 10471, 8693, 25159, 585, 20079, 538, 2342, 689, 476, 1220, 279, 547, 476, 1001, 278, 12544, 1788, 602, 2838, 1796, 29671, 20592, 267, 814, 2362, 2199, 10462, 543, 568, 15151, 1100, 3476, 9738, 269, 634, 10471, 568, 2139, 2228, 693, 4179, 2517, 322, 1091, 17085, 1493, 6983, 641, 1716, 16307, 4318, 340, 11305, 1091, 1952, 26611, 323, 21648, 564, 270, 3974, 268, 18076, 12641, 1493, 2275, 885, 286, 339, 629, 284, 1478, 1613, 630, 17739, 539, 593, 476, 1704, 4728, 476, 1708, 273, 264, 1916, 268, 14825, 730, 1239, 12760, 998, 3684, 1565, 610, 3642, 3335, 3096, 1164, 22822, 2592, 610, 5812, 2582, 268, 1815, 4722, 1239, 3126, 1496, 5780, 267, 6858, 3910, 610, 15824, 6901, 609, 2666, 5168, 1702, 538, 26940, 14449, 1496, 6924, 267, 7597, 4940, 634, 8545, 849, 28511, 9186, 538, 5690, 545, 1239, 12760, 676, 1373, 3810, 10236, 12510, 878, 630, 7945, 607, 2073, 543, 519, 14449, 20926, 972, 514, 267, 2475, 8585, 1027, 630, 10674, 2517, 933, 324, 32607, 269, 9679, 269, 1075, 1067, 1027, 12975, 7933, 21648, 1115, 270, 1633, 2224, 11258, 630, 17739, 539, 593, 476, 1704, 4728, 476, 1708, 273, 4297, 1070, 5059, 593, 2666, 5168, 21458, 513, 2582, 5117, 1496, 10170, 267, 7761, 316, 610, 3622, 21458, 513, 2582, 4756, 585, 513, 2016, 4305, 630, 267, 519, 19384, 6995, 10471, 630, 4178, 4877, 11128, 334, 6155, 764, 269, 18860, 16936, 269, 1962, 7933, 5877, 338, 270, 3630, 7588, 1014, 18396, 6332, 1673, 21648, 564, 270, 630, 17739, 539, 593, 476, 1704, 4728, 476, 1708, 273, 1070, 3092, 12175, 769, 4334, 267, 938, 6552, 15392, 1239, 568, 23661, 267, 540, 1114, 6571, 936, 942, 267, 8185, 21678, 543, 1281, 711, 1106, 513, 2834, 1239, 3126, 602, 6227, 519, 5993, 10664, 2208, 9979, 269, 4706, 606, 322, 16736, 2666, 1239, 568, 849, 23661, 543, 21678, 269, 5015, 267, 5251, 1377, 8760, 1519, 811, 982, 835, 5117, 1826, 568, 811, 2352, 5690, 1227, 1813, 547, 3606, 9186, 3361, 676, 519, 1114, 4336, 610, 1858, 540, 5251, 2934, 8204, 1114, 8134, 543, 741, 6041, 538, 513, 3908, 1297, 540, 9682, 13164, 269, 1280, 1383, 267, 8933, 543, 1507, 5251, 3029, 267, 899, 1507, 29762, 2934, 30939, 538, 930, 2665, 1447, 982, 835, 18920, 267, 991, 1808, 10868, 1114, 689, 519, 4393, 540, 6552, 15392, 1239, 585, 10664, 2527, 1161, 899, 4104, 543, 31922, 282, 891, 616, 538, 2490, 1447, 24267, 982, 5186, 680, 663, 1395, 665, 30743, 269, 7053, 2943, 11932, 267, 922, 2244, 3382, 630, 663, 519, 12119, 2244, 3382, 6384, 264, 568, 3833, 1114, 689, 519, 4540, 13042, 14449, 267, 865, 4483, 1565, 1131, 581, 2352, 547, 7543, 563, 273, 269, 274, 269, 4578, 543, 4706, 14409, 454, 273, 269, 274, 269, 272, 269, 12197, 4578, 454, 268, 1239, 689, 519, 4013, 6694, 13564, 344, 6106, 585, 4400, 7849, 10025, 27892, 26377, 14718, 585, 7616, 543, 2965, 14102, 630, 26238, 476, 1001, 276, 264, 630, 13750, 11982, 8750, 267, 1569, 3652, 693, 4179, 2517, 4178, 269, 4206, 345, 12500, 326, 11486, 326, 270, 1088, 12921, 739, 641, 753, 7288, 1790, 1794, 7568, 328, 24578, 7315, 714, 14741, 4882, 1041, 8548, 20488, 7933, 665, 5346, 268, 636, 331, 268, 274, 268, 273, 270, 630, 17739, 539, 593, 476, 1704, 4728, 476, 1708, 273, 4917, 268, 1239, 689, 519, 2627, 1216, 5464, 896, 519, 4826, 17563, 6034, 633, 607, 8659, 538, 519, 5211, 19438, 5004, 4643, 476, 1001, 274, 1700, 1001, 276, 630, 288, 3844, 6538, 568, 9738, 676, 519, 15445, 5113, 10837, 267, 811, 693, 5291, 2517, 2465, 320, 3052, 17922, 12500, 326, 11486, 326, 270, 985, 21573, 270, 4248, 630, 17739, 539, 593, 476, 1704, 4728, 476, 1708, 273, 264, 630, 514, 10089, 326, 4115, 1152, 4917, 268, 2361, 10344, 1239, 5833, 676, 519, 1291, 2278, 1210, 513, 20473, 538, 519, 1974, 476, 1001, 277, 1700, 1001, 278, 454, 268, 12326, 630, 289, 1180, 5271, 267, 476, 1960, 272, 264, 476, 607, 7857, 1242, 538, 476, 1001, 274, 282, 824, 3621, 12326, 593, 5117, 2783, 585, 519, 1353, 1858, 454, 268, 3037, 4786, 630, 2750, 1815, 5737, 5113, 10837, 264, 630, 1492, 27034, 585, 713, 10471, 568, 2139, 693, 5291, 2517, 2465, 320, 3052, 17922, 12500, 326, 11486, 326, 270, 985, 21573, 4882, 335, 9545, 7288, 270, 8967, 9545, 6390, 318, 1708, 271, 270, 31542, 630, 17739, 539, 593, 476, 1704, 4728, 476, 1708, 273, 264, 630, 514, 10089, 326, 4115, 1152, 994, 268, 1483, 6066, 4104, 1344, 1062, 9738, 676, 519, 15445, 32645, 10837, 543, 13431, 293, 5174, 592, 29333, 543, 5627, 1239, 593, 2025, 7733, 267, 2244, 946, 7154, 267, 19883, 14998, 543, 24921, 712, 1027, 1344, 593, 12150, 885, 4080, 676, 13538, 630, 1613, 693, 4179, 2517, 326, 529, 269, 2346, 325, 12500, 326, 8276, 984, 559, 345, 32551, 15600, 593, 476, 1704, 4728, 476, 1708, 273, 1916, 273, 269, 274, 269, 273, 269, 22647, 11576, 532, 4578, 543, 15733, 454, 273, 269, 274, 269, 274, 269, 8693, 4578, 454, 273, 269, 274, 269, 275, 269, 4578, 14409, 4518, 6503, 454, 3682, 22422, 540, 17266, 13096, 553, 1115, 454, 268, 5623, 543, 5542, 540, 10207, 689, 1312, 8596, 269, 2755, 9682, 13485, 5781, 8038, 936, 938, 1353, 1858, 267, 621, 1419, 568, 31063, 610, 5134, 344, 267, 543, 538, 930, 1296, 972, 568, 6777, 538, 2694, 540, 621, 1134, 883, 2904, 269, 4475, 267, 649, 1185, 547, 1688, 335, 1157, 5078, 10207, 630, 4289, 539, 538, 7305, 590, 275, 538, 4675, 11915, 10049, 1040, 10251, 267, 891, 10207, 798, 711, 18113, 3382, 782, 10664, 12405, 609, 9682, 11052, 269, 4634, 538, 519, 1688, 335, 17673, 10207, 602, 649, 5659, 538, 713, 1353, 267, 972, 616, 1869, 930, 6531, 539, 2127, 630, 6665, 1043, 538, 519, 7301, 2681, 11904, 902, 538, 22955, 590, 278, 324, 267, 590, 280, 323, 267, 590, 1015, 320, 28504, 267, 590, 1321, 320, 267, 327, 267, 590, 1724, 323, 543, 590, 1626, 323, 267, 326, 25814, 540, 519, 4675, 11915, 10049, 543, 7612, 476, 276, 1040, 9122, 593, 6531, 3795, 13968, 936, 519, 1353, 1858, 543, 3606, 3308, 2689, 267, 649, 5697, 513, 1305, 540, 476, 3451, 9682, 10207, 609, 8766, 547, 1100, 6531, 3795, 267, 3144, 1369, 513, 942, 7406, 540, 476, 5655, 1296, 3248, 268, 12861, 12432, 2592, 5627, 19706, 13164, 540, 519, 2592, 269, 769, 713, 1900, 649, 1031, 18317, 291, 3008, 476, 1691, 269, 271, 3301, 563, 268, 12861, 513, 678, 2120, 3758, 540, 1142, 6429, 5627, 519, 9351, 540, 9314, 630, 288, 302, 296, 1070, 1775, 4318, 1421, 1353, 1858, 10465, 563, 268, 6726, 566, 540, 17886, 689, 519, 5697, 10207, 269, 1284, 7229, 16453, 1242, 16338, 17164, 566, 12039, 630, 21254, 9654, 264, 585, 782, 476, 3451, 10207, 543, 3812, 678, 2120, 6119, 269, 24771, 14924, 520, 8596, 609, 7864, 13164, 798, 711, 1450, 12719, 27020, 310, 296, 543, 4061, 538, 476, 1321, 540, 519, 14924, 520, 9049, 296, 9682, 10207, 649, 1223, 711, 3489, 519, 2418, 540, 713, 4994, 563, 15899, 268, 11749, 9179, 540, 2353, 12232, 4578, 454, 268, 2311, 519, 23066, 1377, 267, 649, 2263, 3347, 1063, 1761, 1007, 6724, 6508, 689, 6552, 15392, 543, 2916, 3631, 267, 543, 519, 13525, 789, 4766, 269, 901, 1935, 2636, 585, 7114, 543, 3981, 532, 4244, 8343, 2553, 585, 519, 1482, 13525, 630, 5408, 7305, 590, 274, 540, 519, 4675, 11915, 10049, 1040, 9061, 23343, 2320, 908, 971, 1239, 2959, 547, 2697, 741, 6111, 267, 7893, 5117, 6724, 666, 948, 547, 3715, 873, 607, 8925, 547, 2361, 8343, 1239, 630, 1492, 32301, 540, 7422, 585, 1114, 5117, 2010, 568, 851, 540, 5571, 960, 538, 519, 3864, 7043, 31645, 23270, 3194, 8416, 543, 11451, 538, 1896, 7341, 269, 1306, 971, 267, 7900, 621, 568, 4867, 3544, 540, 713, 1957, 779, 9165, 1040, 5015, 267, 9148, 532, 519, 6396, 1670, 17563, 609, 3047, 8343, 543, 2916, 20592, 2636, 721, 547, 1413, 693, 513, 3677, 4336, 5251, 24463, 543, 3362, 12398, 519, 1034, 29858, 4657, 2127, 540, 1719, 971, 607, 519, 4104, 3235, 582, 821, 610, 2127, 609, 4028, 2242, 538, 2249, 3892, 269, 769, 713, 6073, 1239, 1071, 20400, 693, 519, 23066, 1377, 2636, 585, 1210, 519, 5348, 25489, 1063, 2139, 1239, 689, 782, 2959, 547, 1312, 7747, 2242, 538, 519, 2898, 1858, 540, 1719, 543, 2697, 1445, 2127, 585, 8343, 4398, 267, 1312, 1369, 519, 1482, 12497, 5943, 269, 634, 23066, 16046, 849, 2636, 721, 547, 9192, 1239, 6140, 1644, 547, 5117, 6708, 543, 1239, 3335, 1031, 547, 1353, 5117, 2175, 676, 7311, 8733, 1702, 547, 18505, 519, 6402, 1063, 6708, 543, 2783, 563, 268, 2311, 519, 23835, 1108, 1377, 267, 649, 13182, 4882, 29347, 1518, 519, 3444, 19789, 802, 1063, 7226, 1826, 1239, 538, 519, 26216, 6538, 543, 5117, 2010, 267, 607, 10858, 547, 713, 1808, 1353, 1858, 269, 634, 3444, 19789, 802, 616, 3964, 607, 513, 835, 3562, 2173, 1415, 2078, 538, 519, 9757, 5117, 11837, 16097, 1765, 30672, 540, 519, 6396, 1670, 17563, 1496, 2004, 267, 7906, 267, 7367, 267, 7871, 267, 7918, 22049, 1294, 7612, 476, 277, 320, 269, 7638, 2305, 5161, 540, 513, 2520, 648, 325, 22235, 2070, 540, 2139, 1239, 585, 9249, 543, 606, 593, 7308, 1606, 13607, 2638, 540, 9757, 5117, 1826, 4882, 889, 6943, 2348, 538, 2247, 519, 2949, 5117, 2497, 269, 634, 1377, 540, 1469, 540, 519, 3444, 19769, 5673, 593, 519, 1894, 540, 1114, 10297, 540, 2139, 1239, 2687, 547, 1114, 28944, 538, 519, 3444, 19769, 269, 1280, 1383, 267, 519, 32067, 1178, 1441, 7226, 2978, 2454, 540, 513, 20372, 2636, 585, 4142, 24976, 519, 1071, 32242, 5117, 1016, 6943, 610, 1826, 8760, 585, 519, 1482, 20372, 1247, 1239, 593, 519, 5117, 1826, 1281, 711, 8850, 14377, 547, 5117, 1016, 18196, 610, 9249, 543, 3335, 3340, 2417, 2361, 15418, 543, 5924, 1071, 20400, 609, 824, 2139, 1239, 269, 1261, 987, 1633, 543, 21906, 8134, 616, 9138, 538, 519, 26216, 6538, 547, 723, 18237, 639, 544, 1872, 334, 607, 741, 8789, 2249, 543, 941, 4061, 10924, 547, 581, 540, 519, 968, 6635, 8157, 267, 620, 18090, 543, 1016, 531, 18090, 21906, 892, 5117, 1016, 6943, 269, 1677, 7753, 519, 7687, 540, 4540, 1239, 593, 26377, 267, 649, 9916, 519, 26216, 6538, 779, 1344, 593, 15038, 267, 9386, 267, 1163, 3789, 543, 3037, 2010, 630, 1492, 8545, 1373, 849, 20240, 1210, 519, 8760, 538, 519, 15445, 5113, 10837, 779, 3037, 1826, 4494, 1040, 1284, 1287, 3989, 519, 2009, 5117, 1826, 607, 1325, 18090, 543, 1016, 531, 18090, 26377, 1759, 593, 24347, 565, 13960, 1696, 620, 269, 630, 1001, 278, 264, 476, 543, 606, 10002, 21242, 7664, 1883, 3812, 1282, 519, 11837, 543, 4879, 540, 31922, 8134, 538, 476, 1001, 276, 1700, 1001, 278, 676, 519, 1482, 4589, 563, 268, 2311, 519, 27696, 1377, 267, 649, 25146, 5033, 656, 1227, 543, 23835, 10999, 15095, 14449, 547, 13182, 519, 8367, 602, 2916, 1689, 3123, 2242, 538, 5117, 8901, 3892, 1369, 519, 5251, 24463, 543, 5117, 2783, 270, 10818, 532, 936, 942, 267, 1519, 1689, 538, 2249, 5888, 269, 1284, 946, 519, 8901, 3892, 540, 5117, 2010, 538, 713, 3444, 19769, 6508, 689, 9647, 334, 14428, 9369, 543, 4104, 6538, 1239, 267, 1927, 609, 10515, 1716, 16307, 670, 12435, 2472, 585, 31922, 3892, 543, 4104, 3529, 3382, 5860, 585, 476, 1001 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1814, 1562, 723, 1950, 1514, 3889, 543, 2189, 2081, 540, 14379, 609, 1142, 824, 269, 2913, 781, 4685, 883, 519, 1158, 540, 29160, 2950, 543, 1451, 827, 1018, 2306, 873, 865, 2027, 780, 4089, 476, 272, 281, 1548, 616, 8293, 597, 7758, 18877, 888, 288, 29160, 2146, 4016, 547, 513, 1895, 540, 25277, 2713, 1927, 538, 513, 1880, 1858, 269, 2755, 930, 2249, 540, 25277, 616, 22072, 267, 1866, 2661, 538, 1804, 2516, 1572, 10125, 610, 10136, 269, 10738, 891, 2950, 267, 25277, 3715, 25327, 267, 5968, 1210, 1585, 6786, 267, 543, 960, 1927, 547, 1265, 1426, 543, 2149, 2933, 780, 7078, 281, 8109, 12457, 25277, 1419, 1106, 1507, 2950, 1141, 789, 2671, 2200, 899, 4054, 543, 3276, 4900, 269, 1358, 666, 5431, 1367, 2818, 1369, 741, 12733, 998, 20416, 16287, 543, 13047, 3074, 780, 4089, 476, 273, 281, 9537, 540, 8293, 597, 7758, 5081, 7724, 454, 2467, 616, 1079, 1292, 2010, 540, 29160, 7239, 910, 818, 321, 648, 531, 543, 18714, 269, 1488, 321, 648, 531, 25277, 6108, 1034, 540, 741, 942, 538, 4054, 267, 1247, 18714, 25277, 4782, 547, 3251, 593, 519, 2666, 269, 3962, 1826, 814, 922, 1378, 1259, 540, 12180, 3294, 13998, 780, 7078, 281, 674, 2391, 25277, 4866, 547, 519, 818, 321, 648, 531, 7121, 607, 789, 1350, 728, 1063, 4054, 269, 1358, 4043, 547, 2661, 538, 1920, 2516, 9967, 540, 513, 544, 730, 6292, 543, 741, 15556, 269, 2201, 519, 824, 1688, 267, 2666, 25277, 267, 971, 607, 31403, 5243, 267, 616, 3810, 1514, 2831, 945, 2661, 538, 3573, 11895, 15993, 1949, 1634, 607, 2112, 27231, 780, 4089, 476, 274, 281, 1215, 8293, 597, 14843, 4004, 6510, 454, 306, 9595, 14843, 946, 1114, 2409, 547, 5968, 609, 835, 1776, 267, 1519, 1560, 1893, 267, 13047, 3074, 267, 543, 3114, 6786, 269, 1280, 1383, 267, 950, 12219, 267, 513, 29160, 949, 2895, 922, 1394, 267, 2770, 742, 856, 922, 2766, 267, 543, 669, 2660, 10978, 569, 547, 24633, 1866, 540, 8594, 269, 6684, 267, 25277, 6299, 741, 8188, 1996, 3615, 547, 4734, 3297, 741, 2123, 20416, 267, 799, 2337, 873, 5431, 8284, 2146, 2818, 780, 12244, 22830, 281, 8073, 707, 1378, 29160, 2792, 1062, 1210, 2241, 17267, 543, 4992, 269, 11559, 15032, 547, 7058, 1018, 5048, 596, 2811, 3843, 547, 6655, 2439, 4089, 476, 275, 281, 634, 11957, 540, 4197, 8293, 597, 7758, 18877, 454, 3528, 4974, 29160, 2950, 267, 3744, 2744, 3407, 4030, 883, 3662, 2623, 267, 14498, 267, 543, 5726, 3646, 269, 9866, 6326, 875, 25277, 2170, 609, 1142, 824, 543, 741, 1604, 2488, 1898, 1344, 585, 5883, 4683, 7320, 5095, 543, 8497, 2067, 9249, 780, 27287, 15154, 7726, 281, 4208, 798, 596, 1589, 621, 781, 1271, 547, 1353, 29160, 2950, 286, 2052, 596, 2097, 909, 609, 1022, 1483, 8996, 3156, 1759, 593, 707, 1620, 540, 741, 1514, 2497, 543, 2792, 2409, 2496, 310, 1905, 5455, 912, 306, 9595, 7758, 2950, 1522, 3100, 899, 1175, 513, 19619, 540, 20036, 1814, 1562, 4730, 538, 519, 6288, 267, 855, 789, 723, 6946, 1514, 3889, 543, 10427, 1797, 540, 2792, 269, 1635, 1565, 827, 891, 4241, 2831, 267, 649, 1020, 513, 4514, 7071, 585, 2470, 543, 519, 2956, 540, 25137, 938, 4541, 781, 9265, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 310, 902, 540, 3595, 2433, 513, 3391, 547, 519, 15743, 1158, 1315, 676, 570, 14241, 570, 269, 590, 9801, 1633, 6902, 11609, 676, 20717, 4911, 6902, 7851, 543, 3606, 1148, 676, 19375, 5576, 2917, 6902, 3606, 2681, 676, 8575, 21840, 700, 2967, 14833, 563, 268, 9768, 281, 476, 7818, 15836, 279, 8287, 4366, 273, 273, 454, 268, 8447, 13517, 281, 476, 26631, 3817, 2433, 2681, 12383, 267, 2681, 7851, 6902, 476, 2537, 4699, 563, 268, 21629, 281, 1715, 3840, 2433, 7647, 2880, 4964, 267, 3097, 268, 14645, 281, 9736, 1708, 274, 454, 268, 27010, 10748, 1466, 281, 476, 31275, 299, 22858, 850, 454, 15507, 585, 1644, 3688, 676, 1641, 454, 347, 20428, 10573, 291, 4048, 976, 3436, 19565, 5708, 563, 2304, 7769, 267, 19088, 673, 3436, 19565, 5708, 563, 300, 20723, 3436, 19565, 5708, 563, 14187, 543, 9409, 3436, 19565, 5708, 563, 303, 23393, 2886, 3436, 19565, 5708, 563, 3412, 698, 2435, 4025, 3436, 19565, 5708, 563, 15507, 585, 1644, 3688, 676, 3126, 454, 268, 476, 274, 540, 476, 275, 12215, 2139, 693, 3117, 24832, 540, 11882, 23905, 269, 630, 17004, 994, 268, 476, 271, 540, 476, 272, 5299, 2139, 693, 7991, 7732, 630, 26422, 12064, 1916, 268, 476, 271, 1699, 6585, 609, 476, 275, 2698, 12215, 1701, 780, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 16337, 1315, 12292, 1315, 8293, 597, 14843, 1315, 8293, 597, 7758, 18877, 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, 8080, 547, 938, 3203, 30930, 256, 4653, 267, 649, 2811, 2469, 547, 4685, 883, 519, 1158, 540, 15513, 8325, 2287, 2553, 607, 851, 540, 938, 15513, 5373, 3408, 269, 594, 914, 596, 4769, 1405, 1589, 972, 1223, 581, 865, 1454, 547, 1451, 827, 1945, 607, 2241, 607, 8325, 2287, 513, 15513, 267, 855, 3972, 803, 267, 13215, 891, 1983, 786, 1491, 707, 11247, 547, 519, 1985, 1377, 269, 1924, 10544, 707, 5172, 15513, 543, 1577, 781, 1205, 3323, 2439, 1262, 3963, 1281, 8325, 2287, 2339, 15140, 5970, 596, 2479, 6836, 1210, 513, 20585, 15513, 547, 1711, 513, 4190, 26484, 1858, 538, 707, 5373, 286, 1403, 865, 267, 596, 4440, 8068, 875, 2352, 621, 729, 547, 3035, 1256, 3795, 269, 589, 8325, 1448, 2636, 721, 547, 1852, 938, 3515, 1732, 543, 1039, 32067, 3877, 609, 8897, 269, 3958, 267, 950, 2324, 609, 1114, 2010, 540, 27948, 22796, 630, 6518, 2039, 689, 670, 547, 476, 280, 289, 1070, 2348, 513, 1134, 6879, 17369, 2989, 1907, 5849, 5812, 7436, 2429, 707, 4062, 780, 1262, 10048, 783, 5288, 11272, 26588, 5155, 518, 16001, 2467, 616, 1079, 1292, 5686, 540, 32260, 619, 1107, 8261, 543, 3167, 269, 15015, 32260, 619, 2097, 538, 1585, 5546, 543, 7306, 267, 1247, 3167, 8747, 2154, 9075, 610, 5201, 269, 5637, 723, 741, 5383, 4470, 593, 707, 2115, 1384, 265, 2878, 10048, 783, 26588, 5155, 619, 5093, 32285, 267, 15409, 267, 543, 9602, 269, 2368, 6272, 1450, 585, 811, 5730, 5086, 11941, 1932, 256, 1717, 267, 789, 949, 3006, 3132, 19514, 2164, 952, 711, 17411, 5402, 563, 265, 2878, 25821, 26588, 5155, 619, 5093, 16258, 543, 3608, 269, 2060, 1175, 835, 7903, 540, 513, 7735, 267, 596, 1205, 513, 9985, 11329, 15513, 1169, 942, 256, 1809, 1832, 538, 2247, 602, 789, 4043, 547, 581, 11720, 1512, 543, 21514, 1457, 982, 8261, 3681, 780, 1262, 4537, 17369, 2287, 17778, 1299, 9669, 16001, 5591, 2339, 799, 1826, 540, 32260, 518, 596, 3442, 267, 1246, 891, 3268, 585, 6099, 2164, 1384, 272, 269, 7994, 519, 3617, 8559, 2450, 585, 707, 15513, 8006, 269, 4635, 519, 4636, 6679, 1522, 3441, 707, 15513, 610, 2014, 22522, 2798, 563, 273, 269, 15579, 519, 32260, 518, 16119, 1996, 513, 3349, 6316, 610, 6366, 2627, 547, 24644, 621, 1282, 946, 563, 274, 269, 20405, 569, 7696, 707, 15513, 883, 519, 32260, 518, 267, 7311, 9543, 2604, 2394, 596, 1745, 4187, 269, 3973, 6335, 1394, 543, 8521, 1896, 2053, 2394, 13854, 609, 519, 3259, 540, 519, 6534, 1291, 563, 275, 269, 6744, 707, 3356, 5781, 676, 9900, 25738, 1055, 1022, 11935, 689, 519, 9133, 269, 5269, 2386, 519, 1291, 3884, 1405, 7745, 610, 19514, 563, 276, 269, 11408, 1167, 731, 1022, 3574, 695, 822, 902, 1310, 8325, 2287, 547, 2061, 24571, 3101, 909, 519, 19059, 780, 2080, 616, 930, 3606, 4388, 585, 1808, 7653, 1384, 265, 2608, 2252, 707, 15513, 8952, 8840, 17041, 8347, 4657, 519, 1259, 596, 17945, 519, 15513, 1247, 6335, 532, 621, 538, 519, 32260, 518, 269, 15233, 1447, 3196, 267, 543, 1445, 593, 4509, 513, 11931, 5163, 3079, 269, 4746, 267, 2327, 596, 4312, 6074, 519, 2953, 8559, 2450, 585, 707, 15513, 563, 265, 2608, 2690, 1279, 18835, 2798, 17041, 2422, 513, 2582, 5347, 5163, 950, 8325, 2287, 2864, 982, 2789, 2110, 18116, 269, 901, 2337, 8190, 519, 8699, 540, 519, 11308, 524, 2084, 1472, 519, 1291, 780, 3528, 1739, 891, 4808, 543, 8026, 9639, 267, 596, 3513, 4166, 1831, 513, 605, 693, 15513, 8325, 2287, 256, 5457, 267, 2921, 1434, 1416, 540, 707, 2645, 5012, 547, 10875, 11247, 543, 3108, 540, 17140, 6954, 5876, 269, 8414, 5373, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21893, 2376, 786, 2285, 513, 2143, 7291, 540, 799, 22796, 616, 1655, 9280, 547, 948, 596, 2721, 513, 17855, 269, 1306, 649, 8661, 519, 3675, 903, 540, 16287, 267, 5373, 267, 6516, 2719, 267, 12719, 267, 2144, 2084, 267, 23646, 1524, 267, 543, 1818, 9073, 267, 519, 4096, 762, 15513, 568, 1318, 1934, 693, 938, 2427, 269, 1358, 616, 1152, 2139, 607, 14167, 22796, 267, 543, 616, 811, 7199, 269, 898, 779, 1759, 593, 5022, 630, 22764, 540, 873, 264, 543, 2338, 630, 273, 268, 280, 1040, 4077, 19254, 22796, 910, 22796, 8032, 899, 16853, 543, 1500, 540, 23315, 543, 1031, 538, 1148, 269, 1452, 616, 2356, 13042, 689, 476, 273, 295, 547, 476, 277, 289, 269, 8381, 523, 22796, 616, 20522, 267, 865, 9561, 610, 4687, 568, 1100, 1966, 269, 634, 476, 275, 289, 15513, 568, 5594, 14402, 982, 519, 3283, 1354, 621, 543, 568, 849, 606, 5140, 3903, 585, 11516, 4221, 543, 5373, 5301, 269, 1452, 2645, 267, 2705, 267, 666, 798, 1454, 811, 982, 2681, 3330, 3515, 269, 9208, 8641, 924, 6755, 15078, 269, 1684, 596, 917, 1018, 513, 30040, 3009, 568, 286, 901, 568, 1317, 519, 2362, 1297, 540, 645, 602, 513, 15513, 568, 267, 519, 29779, 519, 15513, 786, 581, 269, 634, 2048, 295, 685, 22796, 616, 3622, 1360, 2182, 267, 543, 789, 616, 2111, 547, 3180, 513, 9133, 538, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 303, 523, 4290, 1744, 17369, 2287, 9828, 257, 607, 851, 540, 834, 11286, 1315, 9828, 1315, 6755, 4290, 14301, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 769, 2221, 781, 1158, 267, 519, 1909, 540, 2257, 543, 2029, 3609, 814, 1831, 5051, 1271, 1813, 547, 922, 1764, 593, 1585, 3344, 540, 2486, 267, 1519, 2804, 2208, 267, 3084, 3354, 267, 543, 2825, 4027, 269, 2290, 2565, 2460, 540, 713, 2361, 602, 19262, 3007, 568, 25827, 16296, 7126, 630, 7709, 305, 264, 3609, 267, 3226, 1369, 3486, 16395, 593, 2152, 899, 2916, 1689, 269, 634, 1739, 6810, 786, 5490, 883, 519, 14960, 540, 7379, 305, 4507, 538, 519, 2796, 540, 1857, 3609, 543, 2257, 1299, 2029, 267, 1210, 519, 10854, 330, 758, 8693, 7827, 13669, 802, 540, 476, 1220, 279, 607, 513, 2013, 1353, 780, 2162, 4197, 25827, 16296, 7126, 630, 7709, 305, 264, 8889, 692, 4263, 922, 4295, 267, 7214, 3959, 4016, 547, 13144, 540, 519, 2247, 267, 971, 607, 18563, 282, 5339, 543, 7499, 1568, 282, 6698, 267, 4408, 267, 543, 2592, 1031, 538, 16450, 282, 543, 3621, 8906, 269, 25827, 3959, 2924, 616, 3656, 1303, 1856, 906, 11292, 547, 2043, 610, 9988, 945, 1711, 891, 30608, 7221, 267, 3246, 873, 12600, 1852, 936, 741, 946, 267, 12093, 267, 3892, 267, 543, 5010, 1436, 269, 1452, 2924, 5000, 5647, 543, 5876, 1247, 4180, 1697, 13180, 585, 15888, 543, 9520, 269, 1703, 616, 1896, 2010, 540, 7379, 20745, 267, 1519, 24977, 267, 5299, 23412, 267, 30931, 267, 4123, 11580, 267, 543, 10923, 10832, 780, 15031 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 842, 285, 26514, 1989, 815, 1007, 5903, 283, 842, 285, 314, 2918, 22049, 5897, 585, 630, 842, 1775, 301, 815, 476, 271, 282, 1775, 301, 2999, 476, 2918, 282, 1775, 301, 10030, 10142, 1989, 5157, 301, 316, 815, 1007, 5903, 283, 842, 285, 3890, 282, 5897, 476, 5897, 12262, 7755, 659, 1890, 5119, 5897, 536, 944, 314, 267, 316, 6316, 815, 1007, 536, 944, 314, 2918, 267, 476, 2918, 22049, 5897, 476, 5897, 12262, 3355, 2358, 7755, 659, 1890, 5119, 5897, 585, 630, 842, 737, 815, 476, 271, 282, 737, 2999, 476, 2918, 282, 737, 10030, 10142, 585, 630, 842, 561, 815, 476, 271, 282, 561, 2999, 476, 2918, 282, 561, 10030, 10142, 6316, 25208, 267, 561, 316, 815, 7301, 282, 5897, 476, 5897, 12262, 2870, 7755, 659, 1890, 1592, 5897, 585, 630, 842, 737, 815, 476, 271, 282, 737, 2999, 521, 11482, 2654, 282, 737, 10030, 264, 476, 5897, 2715, 5897, 12262, 11319, 2451, 11105, 1605, 12661, 339, 585, 4994, 1412, 330, 262, 5897, 952, 630, 330, 910, 476, 272, 13843, 476, 271, 30974, 8206, 8354, 314, 338, 25208, 316, 910, 476, 9032, 267, 521, 25208, 910, 476, 272, 316, 910, 476, 9032, 8079, 476, 5897, 2715, 5897, 1989, 314, 338, 25208, 316, 910, 476, 9032, 4940, 11754, 4433, 25208, 910, 476, 272, 316, 910, 476, 9032, 5148, 5897, 6316, 314, 338, 25208, 316, 910, 476, 9032, 267, 521, 25208, 910, 476, 272, 316, 910, 476, 9032, 316, 815, 3020, 282, 5897, 7684, 5897, 476, 5897, 12262, 11319, 1318, 11105, 3693, 585, 4994, 1412, 330, 262, 5897, 952, 630, 330, 1341, 476, 272, 10922, 521, 11482, 2654, 910, 476, 272, 30974, 476, 5897, 8206, 8354, 314, 338, 25208, 316, 910, 476, 9032, 267, 521, 25208, 1341, 476, 272, 316, 910, 476, 9032, 8079, 476, 5897, 2715, 5897, 1989, 314, 338, 25208, 316, 910, 476, 9032, 4940, 11754, 4433, 25208, 1341, 476, 272, 316, 910, 476, 9032, 5148, 5897, 6316, 314, 338, 25208, 316, 910, 476, 9032, 267, 521, 25208, 1341, 476, 272, 316, 910, 476, 9032, 316, 815, 3020, 282, 5897, 7684, 5897, 7684, 5897, 476, 5897, 12262, 20313, 547, 1685, 645, 12396, 5897, 6581, 826, 283, 842, 285, 7117, 815, 1007, 6581, 826, 283, 842, 285, 3890, 282, 5897, 7117, 269, 5319, 28255, 4433, 5157, 316, 910, 476, 9032, 5148, 5897, 476, 5897, 12262, 10272, 5044, 5897, 536, 944, 26514, 642, 815, 1007, 536, 944, 314, 2918, 22049, 5897, 476, 5897, 12262, 4756, 547, 4558, 3178, 540, 645, 12396, 5897, 703, 546, 815, 476, 271, 282, 5897, 476, 5897, 12262, 645, 12396, 5897, 1247, 630, 336, 5861, 870, 3436, 476, 271, 264, 476, 5897, 2715, 5897, 476, 5897, 12262, 1297, 540, 2609, 538, 519, 1699, 1377, 5897, 703, 524, 660, 815, 7117, 5861, 870, 282, 5897, 476, 5897, 12262, 6418, 8520, 5897, 1247, 630, 322, 660, 734, 3436, 476, 271, 264, 476, 5897, 2715, 5897, 476, 5897, 12262, 1699, 3693, 5897, 703, 28364, 815, 7117, 269, 8248, 2131, 3890, 282, 5897, 476, 5897, 12262, 1402, 4771, 20313, 5897, 7117, 6185, 3225, 324, 826, 3890, 282, 5897, 476, 5897, 12262, 3490, 2013, 5897, 952, 630, 341, 314, 2017, 337, 316, 10142, 3136, 282, 5897, 642, 314, 2017, 337, 316, 815, 3020, 282, 5897, 476, 5897, 12262, 10992, 952, 519, 1699, 6843, 568, 2838, 6843, 5897, 952, 630, 2017, 337, 2652, 521, 14728, 316, 910, 476, 9032, 10142, 2132, 546, 282, 5897, 476, 5897, 12262, 12055, 908, 998, 519, 1699, 6843, 5897, 2062, 778, 630, 842, 621, 538, 1989, 314, 2017, 337, 316, 10142, 7117, 269, 5319, 28255, 263, 527, 5148, 5897, 7684, 5897, 476, 5897, 12262, 21130, 3178, 5897, 546, 10030, 282, 5897, 7684, 5897, 476, 5897, 2132, 910, 272, 282, 5897, 7684, 5897, 476, 5897, 12262, 30905, 8943, 5897, 1857, 11979, 20704, 6301, 263, 21803, 26514, 26571, 10142, 2715, 5897, 12262, 3403, 4632, 5897, 21642, 521, 815, 834, 29582, 1372, 21968, 5897, 703, 1775, 815, 476, 271, 282, 5897, 703, 795, 815, 476, 275, 282, 5897, 476, 5897, 12262, 1599, 547, 1265, 519, 5934, 1942, 5897, 1230, 18030, 269, 2237, 6600, 785, 14737, 21798, 4433, 269, 2414, 13142, 26161, 19572, 1775, 267, 795, 4297, 282, 5897, 7684, 5897, 348, 5897, 476, 5897, 2260, 901, 3009, 568, 8329, 676, 476, 3066, 288, 329, 599, 298, 20783, 567, 1477, 567, 1477, 19203, 567, 1477, 567, 1477, 6449, 5897, 6449, 5897, 2878, 20479, 5093, 5897, 24541, 672, 457, 1477, 825, 476, 275, 457, 1477, 672, 5897, 16920, 1549, 5467, 256, 5213, 1406, 3247, 1565, 1631, 269, 5192, 3180, 540, 782, 519, 1271, 667, 6347, 1477, 935, 32383, 609, 519, 2878, 291, 6347, 8682, 623, 3166, 6092, 1262, 693, 513, 2875, 7888, 3902, 543, 1477, 13069, 727, 2872, 4712, 269, 1677, 2347, 707, 7041, 689, 1565, 513, 1893, 1477, 1729, 26712, 1325, 2998, 543, 1082, 811, 267, 5225, 3277, 2878, 28415, 19877, 19369, 1477, 17345, 1262, 2878, 269, 1262, 5897, 7069, 9608, 11872, 9041, 5535, 5091, 1886, 318, 1575, 318, 5897, 24591, 5897, 0, 23911, 1923, 23037, 24042, 1592, 676, 715, 628, 3693, 540, 24042, 5897, 5897, 15919, 267, 1247, 2324, 609, 5124, 1592, 267, 649, 666, 2097, 2066, 513, 1966, 538, 1477, 6518, 649, 991, 547, 4990, 1592, 2687, 547, 1022, 24042, 3693, 269, 1452, 1590, 581, 513, 1477, 10090, 545, 1259, 547, 1685, 519, 4990, 676, 1880, 24042, 4994, 269, 901, 814, 513, 1434, 1477, 583, 1006, 538, 1357, 1646, 6389, 269, 2913, 779, 1865, 1978, 2081, 538, 799, 713, 1477, 339, 2532, 666, 581, 5340, 269, 5897, 2878, 19686, 1948, 272, 2433, 2974, 902, 677, 3890, 1341, 25754, 1262, 567, 1477, 763, 4999, 540, 1657, 3252, 666, 581, 1031, 547, 1685, 713, 4305, 269, 769, 713, 267, 1477, 933, 1175, 1780, 513, 25754, 1599, 547, 4990, 3890, 609, 3617, 24042, 3693, 1477, 8161, 2687, 547, 799, 4990, 814, 547, 581, 5340, 269, 5897, 6449, 5897, 6449, 567, 1477, 6449, 5897, 6449, 5897, 6449, 567, 1477, 6449, 567, 1477, 6449, 5897, 258, 5124, 274, 3009, 547, 6542, 2324, 540, 5897, 258, 23037, 24042, 1592, 676, 715, 628, 3693, 540, 24042, 5897, 258, 1210, 4990, 3890, 1341, 25754, 5897, 476, 5897, 258, 3355, 1944, 1592, 5897, 11687, 8217, 815, 27883, 275, 267, 476, 276, 267, 476, 272, 1070, 630, 277, 267, 476, 272, 267, 476, 276, 1070, 630, 278, 267, 476, 275, 267, 1477, 273, 1070, 630, 277, 267, 476, 273, 267, 476, 275, 13580, 5897, 476, 5897, 258, 8228, 3312, 1592, 5897, 2745, 2891, 763, 3312, 1592, 568, 2433, 834, 1341, 1193, 6025, 652, 8217, 264, 10142, 476, 5897, 258, 4994, 2687, 547, 799, 4990, 547, 1685, 5897, 301, 815, 476, 272, 5897, 476, 5897, 258, 23037, 24042, 1592, 676, 715, 628, 3693, 540, 24042, 5897, 258, 1210, 4990, 3890, 1341, 25754, 5897, 11687, 8217, 31699, 31107, 815, 25754, 1535, 281, 1535, 314, 301, 316, 10142, 476, 5897, 258, 8228, 1267, 476, 5897, 2745, 2891, 8266, 1310, 18570, 24042, 676, 715, 628, 4994, 4990, 2433, 834, 1341, 1477, 1598, 6025, 652, 8217, 4297, 567, 1477, 567, 1477, 19203, 567, 1477, 567, 1477, 6449, 5897, 6449, 5897, 2878, 20479, 2433, 1262, 5897, 24541, 672, 457, 1477, 825, 634, 3312, 1592, 568, 2433, 27883, 275, 267, 476, 276, 267, 476, 272, 1070, 630, 277, 267, 476, 272, 267, 476, 276, 1070, 630, 278, 267, 476, 275, 267, 476, 273, 1070, 630, 277, 267, 476, 273, 267, 476, 275, 13580, 457, 1477, 825, 5903, 1310, 18570, 24042, 676, 715, 628, 4994, 4990, 2433, 27883, 277, 267, 476, 272, 267, 476, 276, 1070, 630, 277, 267, 476, 273, 267, 476, 275, 1070, 630, 278, 267, 476, 275, 267, 476, 273, 1070, 630, 275, 267, 476, 276, 267, 476, 272, 13580, 457, 1477, 672, 5897, 1262, 19686, 1948, 273, 2433, 2974, 902, 677, 3890, 1341, 6221, 1326, 614, 3890, 1262, 567, 1477, 1607, 568, 2147, 547, 519, 1657, 1505, 269, 634, 3017, 568, 1175, 602, 649, 946, 1477, 14403, 1326, 614, 19572, 547, 1685, 713, 4305, 602, 568, 2944, 676, 25754, 538, 1657, 1505, 269, 5897, 567, 5897, 567, 5897, 6449, 5897, 6449, 567, 1477, 6449, 5897, 6449, 5897, 6449, 567, 1477, 6449, 567, 1477, 6449, 5897, 258, 5124, 274, 3009, 547, 6542, 2324, 540, 5897, 258, 23037, 24042, 1592, 676, 715, 628, 3693, 540, 24042, 5897, 258, 1210, 4990, 3890, 1341, 6221, 1326, 614, 31476, 5228, 11346, 1104, 6221, 1326, 614, 5897, 476, 5897, 258, 3355, 1944, 1592, 5897, 11687, 8217, 815, 27883, 275, 267, 476, 276, 267, 476, 272, 1070, 630, 277, 267, 476, 272, 267, 476, 276, 1070, 630, 278, 267, 476, 275, 267, 1477, 273, 1070, 630, 277, 267, 476, 273, 267, 476, 275, 13580, 5897, 476, 5897, 258, 8228, 3312, 1592, 5897, 2745, 2891, 763, 3312, 1592, 568, 2433, 834, 1341, 1193, 6025, 652, 8217, 264, 10142, 476, 5897, 258, 4994, 2687, 547, 799, 4990, 547, 1685, 5897, 301, 815, 476, 272, 5897, 476, 5897, 258, 23037, 24042, 1592, 676, 715, 628, 3693, 540, 24042, 5897, 258, 1210, 4990, 3890, 1341, 6221, 1326, 614, 31476, 11687, 8217, 31699, 31107, 815, 6221, 1326, 614, 18217, 264, 10142, 476, 5897, 258, 8228, 1267, 476, 5897, 2745, 2891, 8266, 1310, 18570, 24042, 676, 715, 628, 4994, 4990, 2433, 834, 1341, 1477, 1598, 6025, 652, 8217, 4297, 567, 1477, 567, 1477, 19203, 567, 1477, 567, 1477, 6449, 5897, 6449, 5897, 2878, 20479, 2433, 1262, 5897, 24541, 672, 457, 1477, 825, 634, 3312, 1592, 568, 2433, 27883, 275, 267, 476, 276, 267, 476, 272, 1070, 630, 277, 267, 476, 272, 267, 476, 276, 1070, 630, 278, 267, 476, 275, 267, 476, 273, 1070, 630, 277, 267, 476, 273, 267, 476, 275, 13580, 457, 1477, 825, 5903, 1310, 18570, 24042, 676, 715, 628, 4994, 4990, 2433, 27883, 277, 267, 476, 272, 267, 476, 276, 1070, 630, 277, 267, 476, 273, 267, 476, 275, 1070, 630, 278, 267, 476, 275, 267, 476, 273, 1070, 630, 275, 267, 476, 276, 267, 476, 272, 13580, 457, 1477, 672, 5897, 16920, 1549, 2520, 2131, 256, 16237, 6533, 707, 13210, 609, 519, 2878, 23911, 14691, 1477, 28062, 566, 1262, 6092, 543, 1451, 519, 9238, 269, 5897, 2414, 2253, 609, 267, 707, 5967, 21339, 28389, 707, 4578, 23113, 1477, 935, 32383, 609, 519, 2878, 23911, 26712, 1262, 6092, 269, 5897, 7069, 9608, 11872, 9041, 5535, 5091, 1886, 318, 1575, 318, 5897, 24591, 5897, 0, 24058, 1125, 1239, 689, 11483, 309, 3758, 538, 5124, 5897, 5897, 5425, 309, 6763, 585, 2048, 2878, 8333, 320, 4149, 788, 541, 730, 18880, 1262, 2048, 269, 898, 1797, 519, 1239, 263, 11161, 264, 538, 513, 1477, 5425, 309, 3758, 616, 9674, 676, 513, 1642, 574, 3438, 1775, 4318, 1421, 26893, 269, 4578, 538, 513, 11483, 309, 3758, 568, 1477, 560, 1819, 538, 9184, 983, 3898, 609, 606, 10137, 540, 1547, 322, 12364, 269, 13575, 267, 11483, 309, 6119, 616, 1477, 4310, 609, 5616, 18580, 1115, 610, 9786, 9185, 9212, 269, 589, 11483, 309, 3758, 3568, 513, 1477, 15893, 540, 5638, 609, 519, 1239, 3262, 2066, 9343, 543, 9587, 269, 769, 713, 1477, 14835, 267, 649, 616, 2469, 547, 14650, 1239, 689, 513, 11483, 309, 3758, 538, 5124, 269, 5897, 2414, 1349, 519, 1239, 538, 11483, 309, 3758, 267, 11483, 309, 9074, 1590, 581, 16865, 538, 938, 1982, 607, 1477, 31742, 338, 281, 5897, 24541, 24541, 825, 1104, 26417, 457, 1477, 672, 457, 1477, 825, 609, 1930, 3488, 12803, 27406, 10807, 607, 11711, 281, 567, 457, 1477, 1038, 7412, 318, 1348, 518, 815, 26417, 18667, 518, 263, 17572, 264, 476, 5897, 2080, 267, 26417, 18667, 518, 263, 3738, 1599, 568, 1031, 547, 1224, 519, 1982, 1310, 1104, 532, 11483, 309, 1477, 331, 3869, 269, 5897, 2878, 7078, 476, 272, 281, 10439, 1944, 519, 1262, 2878, 26383, 540, 1114, 7606, 998, 3046, 1477, 7120, 269, 1262, 5897, 763, 2630, 11483, 309, 3758, 3568, 1114, 1268, 2012, 267, 4008, 267, 543, 2085, 10710, 607, 1477, 8072, 6798, 739, 1846, 27406, 685, 281, 5897, 567, 5897, 567, 5897, 256, 26514, 263, 10059, 2517, 332, 4215, 269, 613, 4060, 1721, 613, 4060, 3820, 11320, 335, 268, 1477, 20880, 270, 340, 22744, 338, 270, 1708, 9083, 14681, 280, 2767, 7367, 270, 5425, 309, 12803, 272, 26666, 10142, 2878, 763, 1935, 540, 519, 1982, 5093, 5897, 476, 476, 272, 269, 7383, 2838, 8021, 267, 21267, 5399, 585, 3308, 1944, 267, 543, 11483, 309, 5399, 585, 2542, 11483, 309, 1239, 23228, 476, 476, 273, 269, 7046, 519, 3758, 1210, 1930, 263, 3738, 1599 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1220, 348, 2676, 825, 27835, 425, 496, 486, 423, 359, 483, 9166, 1412, 422, 372, 486, 423, 493, 482, 423, 479, 376, 3299, 1412, 424, 486, 502, 423, 509, 487, 9166, 476, 272, 267, 1412, 21498, 357, 32174, 478, 9166, 476, 4968, 348, 2676, 825, 27835, 425, 496, 486, 423, 359, 483, 9166, 1412, 423, 363, 372, 424, 488, 353, 423, 355, 368, 423, 493, 482, 423, 479, 376, 3299, 1412, 424, 486, 502, 423, 509, 487, 9166, 476, 272, 267, 1412, 21498, 357, 32174, 478, 9166, 476, 14596, 8679, 6540, 14403, 318, 2745, 263, 14403, 8217, 994, 338, 2741, 19571, 815, 3403, 2891, 424, 481, 479, 425, 496, 486, 14091, 366, 486, 425, 502, 372, 10563, 508, 483, 423, 510, 354, 281, 5602, 572, 937, 318, 14403, 4433, 2741, 19571, 994 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3848, 476, 278, 281, 4197, 1234, 9690, 26579, 13809, 630, 305, 12195, 2567, 1323, 769, 5937, 3704, 5811, 692, 296, 269, 4985, 692, 13434, 584, 1370, 6379, 2530, 630, 305, 12195, 264, 568, 606, 14156, 1253, 7675, 2783, 602, 5540, 5111, 476, 273, 268, 276, 260, 540, 1126, 321, 8960, 15185, 5001, 269, 4347, 1441, 607, 1079, 610, 811, 15654, 6379, 9271, 1991, 547, 519, 476, 736, 628, 3018, 540, 32460, 267, 681, 12195, 6799, 1713, 2591, 585, 1312, 3782, 7426, 543, 2550, 7567, 269, 901, 3184, 6663, 547, 1683, 513, 3102, 7650, 540, 681, 12195, 267, 922, 3123, 267, 5868, 267, 2126, 3681, 267, 543, 23567, 1247, 10771, 922, 2956, 607, 513, 1857, 1072, 6161, 269, 1635, 3695, 1585, 3344, 540, 681, 12195, 267, 3988, 786, 2744, 513, 4514, 7071, 585, 519, 10848, 4478, 713, 1419, 29144, 10285, 1072, 3390, 780, 2862, 269, 634, 645, 6324, 523, 540, 681, 12195, 281, 7351, 12367, 543, 7464, 21509, 20480, 692, 288, 269, 2776, 28700, 543, 5549, 2064, 454, 305, 12195, 5222, 6634, 540, 2043, 11451, 267, 609, 9193, 11021, 909, 547, 476, 276, 260, 540, 782, 24802, 6444, 26691, 1267, 538, 20443, 2530, 269, 6736, 891, 31417, 2338, 267, 1082, 2665, 2611, 3768, 328, 30938, 1813, 547, 896, 516, 1636, 532, 267, 3908, 1569, 547, 2298, 3782, 2533, 267, 543, 13385, 1702, 827, 2038, 6379, 2589, 1851, 4299, 5095, 269, 9182, 267, 5466, 681, 12195, 3340, 13447, 539, 3646, 689, 2789, 8639, 267, 1519, 14519, 267, 3782, 4648, 267, 3173, 267, 543, 2146, 3906, 780, 289, 269, 16508, 8177, 593, 14904, 543, 19198, 454, 299, 3151, 513, 4941, 6379, 666, 581, 14042, 585, 3885, 267, 3056, 547, 4606, 540, 16236, 267, 16203, 267, 10845, 267, 4160, 267, 4965, 267, 543, 4389, 1582, 12635, 269, 5047, 267, 4891, 949, 1995, 1114, 12003, 6127, 267, 799, 1223, 2417, 22652, 3929, 11605, 1369, 3347, 269, 4935, 267, 3246, 7850, 5626, 1489, 7258, 2564, 7459, 3587, 2629, 538, 5009, 2949, 8171, 1282, 4101, 2053, 780, 7656, 269, 18264, 5735, 543, 11202, 19398, 8344, 31469, 540, 681, 12195, 692, 288, 269, 18726, 15486, 454, 2419, 668, 23865, 17244, 2272, 585, 5176, 3368, 540, 782, 26742, 19631, 26674, 17699, 267, 1818, 873, 519, 1034, 1455, 30753, 2014, 540, 681, 12195, 269, 9977, 531, 737, 776, 9189, 2079, 267, 2059, 609, 824, 4719, 4255, 899, 13354, 22308, 10316, 1436, 630, 290, 21203, 264, 14249, 610, 2582, 30859, 26340, 1143, 630, 17928, 303, 264, 2890, 541, 7590, 267, 2337, 3713, 9606, 10095, 22114, 7700, 547, 681, 12195, 269, 3958, 267, 4686, 4719, 4713, 971, 607, 24405, 17232, 5362, 267, 2166, 10973, 27470, 267, 543, 17866, 2473, 6794, 723, 849, 1044, 26582, 538, 930, 8320, 540, 681, 12195, 780, 289, 269, 26268, 4689, 1955, 4472, 1734, 454, 17484, 18355, 7988, 325, 17313, 1404, 513, 2565, 1909, 538, 4509, 2635, 26691, 282, 8754, 267, 17441, 20817, 13822, 1776, 1713, 1696, 328, 11043, 3815, 3297, 681, 12195, 269, 16930, 2175, 5532, 547, 681, 12195, 1331, 11178, 2068, 267, 4874, 1097, 10973, 9065, 776, 6794, 630, 303, 26714, 1070, 561, 1393, 531, 5123, 8919, 267, 5409, 335, 1503, 716, 514, 8598, 267, 543, 3987, 22577, 269, 7743, 6268, 543, 2359, 540, 25012, 18063, 616, 1898, 3334, 540, 3811, 681, 12195, 3797, 780, 290, 269, 23305, 2806, 7538, 885, 454, 2304, 520, 13929, 2152, 1369, 2901, 7649, 781, 10285, 1062, 666, 17225, 15498, 566, 610, 2333, 18687, 547, 3968, 267, 6038, 4611, 538, 681, 12195, 269, 6201, 540, 7293, 17244, 7854, 29897, 694, 24473, 267, 22833, 1941, 10663, 14685, 328, 267, 12499, 17458, 710, 14398, 687, 630, 2026, 615, 2006, 781, 6794, 1070, 2887, 26508, 8546, 3625, 1137, 267, 543, 25073, 30219, 269, 26616, 2645, 899, 16953, 267, 1728, 3122, 22000, 267, 543, 22272, 541, 22000, 5351, 538, 7114, 543, 8156, 5817, 7293, 2042, 780, 291, 269, 7025, 11790, 454, 26452, 2825, 2609, 3565, 547, 681, 12195, 1981, 267, 1519, 4359, 14774, 2085, 267, 8377, 267, 7296, 267, 4568, 4616, 267, 28302, 3075, 946, 267, 4598, 547, 4853, 6464, 267, 5982, 267, 543, 11763, 8069, 269, 17291, 543, 19086, 5739, 23927, 1106, 7533, 2694, 540, 681, 12195, 6604, 2994, 780, 4353, 269, 26616, 22604, 543, 9615, 3525, 8017, 585, 681, 12195, 692, 288, 269, 19461, 16214, 454, 4467, 11772, 633, 1686, 2921, 267, 2168, 6514, 267, 543, 2596, 8047, 4152, 4196, 607, 3355, 3268, 2509, 23235, 681, 12195, 269, 1452, 10526, 2832, 547, 10625, 1761, 20334, 547, 20443, 9271, 676, 10442, 15366, 6502, 267, 6197, 6208, 267, 18492, 3270, 267, 6188, 13011, 12583, 267, 6646, 6165, 267, 543, 1920, 2564, 5638, 780, 289, 269, 11628, 13281, 454, 27039, 593, 4681, 689, 3119, 13753, 267, 15185, 1522, 2154, 3606, 10368, 5773, 899, 737, 776, 9189, 2079, 267, 25012, 1599, 4879, 267, 6375, 11043, 27992, 267, 543, 24405, 17232, 807, 9584, 269, 9122, 593, 2164, 267, 3358, 9354, 4485, 3077, 1808, 1757, 894, 2188, 4857, 998, 11826, 10368, 960, 5725, 780, 290, 269, 24103, 1670, 3955, 6761, 454, 8469, 10716, 4122, 6964, 538, 5883, 681, 12195, 17663, 29469, 267, 646, 1706, 514, 267, 26550, 18333, 6918, 710, 267, 1558, 845, 514, 267, 1577, 549, 345, 1961, 267, 804, 558, 760, 515, 928, 3632, 3433, 267, 16891, 611, 582, 1886, 1231, 267, 543, 1322, 6856, 821, 9360, 269, 3962, 14453, 8665, 9607, 3982, 23633, 11444, 3238, 538, 681, 12195, 1646, 267, 26089, 10531, 13310, 4566, 1759, 593, 1367, 3461, 12632, 780, 291, 269, 2667, 13554, 3115, 8793, 16370, 630, 11286, 994, 1103, 20117, 22289, 630, 4353, 293, 1070, 703, 6483, 339, 32194, 14203, 13297, 630, 2975, 10485, 1070, 20033, 13708, 26347, 267, 1147, 5766, 2329, 267, 543, 840, 574, 8690, 566, 4719, 4152, 630, 22333, 307, 264, 2099, 5051, 2442, 26353, 8925, 8246, 538, 20547, 681, 12195, 21140, 269, 4014, 7199, 543, 4199, 25673, 267, 891, 2553, 2709, 9621, 4093, 950, 6671, 5574, 6961, 23696, 780, 309, 269, 16723, 8081, 543, 29960, 7896, 692, 11693, 519, 7096, 3929, 17167, 18913, 681, 12195, 267, 10128, 2790, 1072, 2533, 883, 11455, 1416, 3631, 3788, 16832, 269, 20985, 3646, 5473, 16895, 267, 1514, 4600, 267, 543, 1489, 2516, 7520, 13261, 12003, 6127, 267, 6536, 6043, 267, 3986, 2792, 1983, 267, 543, 3895, 2949, 8171, 9624, 14488, 780, 9654, 269, 8892, 19648, 281, 24021, 12367, 543, 11627, 725, 538, 681, 12195, 5004, 692, 3849, 9330, 906, 538, 10285, 4915, 3136, 30740, 3209, 8906, 6322, 693, 17306, 681, 12195, 2359, 26336, 269, 2368, 6932, 3466, 7854, 27981, 7497, 1382, 267, 6565, 1591, 11257, 267, 5444, 11049, 4066, 267, 5841, 4987, 3156, 267, 543, 28707, 5464, 3457, 2966, 547, 2087, 10368, 6111, 543, 16762, 7207, 269, 1306, 938, 1620, 540, 681, 12195, 21040, 267, 865, 1932, 1281, 4126, 585, 4824, 4791, 7459, 5827, 540, 10970, 11868, 7092, 543, 19620, 10285, 13190, 585, 9118, 4299, 15185, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 18800, 540, 2833, 281, 20443, 6379, 2530, 609, 10285, 6364, 538, 9176, 2021, 454, 21292, 281, 11073, 2492, 267, 21250, 656, 2021, 267, 1234, 9690, 6379, 2530, 630, 305, 12195, 1070, 3115, 8793, 454, 25889, 281, 1234, 9690, 6379, 2530, 630, 305, 12195, 264, 568, 606, 1271, 10285, 1072, 3390, 267, 7133, 476, 273, 260, 1700, 276, 260, 540, 15185, 269, 3194, 883, 1946, 31761, 4523, 568, 519, 1152, 1259, 649, 666, 4688, 2729, 543, 2061, 2104, 2530, 269, 769, 713, 1353, 649, 7447, 519, 6871, 540, 9002, 945, 15068, 3564, 519, 30564, 1974, 538, 513, 681, 12195, 16758, 543, 547, 2697, 2404, 2188, 563, 32325, 281, 589, 24794, 8826, 20165, 1353, 1519, 476, 12553, 2021, 2938, 693, 513, 16758, 585, 681, 12195, 538, 2530, 1895, 1063, 476, 1001, 277, 543, 476, 1001, 279, 543, 513, 1852, 1895, 1519, 476, 5197, 9176, 2021, 2938, 693, 513, 1970, 16151, 27514, 1416, 1770, 269, 3115, 8793, 1967, 2557, 729, 3989, 607, 606, 9800, 1532, 9500, 267, 4830, 540, 29556, 2085, 693, 4332, 543, 6668, 1310, 519, 30564, 1974, 269, 2353, 519, 4266, 729, 2493, 1227, 12649, 543, 9916, 563, 24342, 281, 4934, 540, 476, 12893, 945, 22885, 267, 476, 10755, 630, 11011, 269, 274, 8472, 1185, 10285, 1967, 2557, 269, 774, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 13434, 584, 1370, 26579, 13809, 630, 305, 12195, 17983, 607, 851, 540, 834, 4047, 22483, 1299, 32362, 1315, 674, 19910, 1299, 5606, 19910, 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, 281, 8535, 267, 20154, 640, 267, 543, 23046, 281, 1323, 22410, 540, 12634, 1744, 16120, 545, 13756, 998, 519, 30776, 540, 3127, 6993, 4471, 781, 3203, 3588, 692, 1103, 713, 1770, 267, 649, 5490, 883, 519, 25872, 540, 2575, 267, 17035, 267, 543, 7067, 1369, 4207, 695, 16120, 545, 2853, 269, 1284, 786, 2263, 875, 5159, 899, 3127, 6993, 4471, 2721, 2390, 6805, 5389, 267, 1102, 6748, 2413, 2442, 2528, 609, 3504, 7326, 543, 2418, 269, 3776, 7634, 2882, 6313, 1883, 2035, 971, 607, 1918, 2065, 4978, 267, 12012, 2829, 540, 9637, 267, 543, 521, 4577, 7067, 2409, 269, 10801, 519, 1770, 267, 4296, 786, 581, 6537, 547, 1699, 3466, 543, 1382, 4681, 267, 11744, 519, 4797, 10083, 540, 891, 2093, 543, 2553, 2221, 780, 2304, 574, 1143, 281, 25043, 540, 7087, 2622, 1613, 338, 692, 4263, 922, 4295, 267, 1918, 1143, 29102, 602, 782, 2713, 7919, 31251, 3425, 267, 2831, 267, 2371, 267, 543, 1256, 9583, 538, 534, 1493, 2609, 971, 607, 7725, 543, 25825, 1765, 335, 1601, 612, 2366, 1466, 543, 8116, 630, 19604, 3272, 267, 476, 1220, 277, 1040, 901, 3661, 1062, 19156, 1082, 6805, 4529, 5001, 267, 10771, 10103, 543, 3666, 1851, 3309, 1272, 3029, 269, 769, 2490, 267, 3347, 609, 1875, 16058, 9988, 1831, 1898, 3334, 540, 18497, 3961, 543, 8171, 780, 28757, 759, 4026, 1878, 540, 1918, 2065, 3206, 666, 581, 4767, 2066, 1585, 10459, 267, 1519, 2825, 7881, 543, 3235, 641, 2134, 1108, 630, 305, 846, 267, 476, 1001, 278, 282, 570, 27462, 1299, 717, 3234, 267, 476, 1001, 275, 1040, 1280, 1383, 267, 930, 5640, 8044, 602, 12561, 606, 1918, 626, 5133, 1223, 6536, 3152, 6940, 676, 4101, 10236, 12510, 878, 10054, 827, 1480, 2531, 514, 542, 936, 2470, 630, 298, 7897, 267, 476, 1001, 274, 1040, 1635, 10137, 267, 8508, 971, 23835, 3098, 1522, 849, 1266, 2658, 15398, 2463, 585, 2686, 4763, 543, 12683, 1143, 2094, 972, 1131, 1100, 3476, 2291, 1022, 7915, 15796, 11284, 3101, 1978, 2081, 540, 6616, 610, 1373, 780, 2704, 339, 1229, 2276, 540, 3117, 4109, 1145, 281, 19484, 6348, 867, 2435, 7464, 885, 692, 23338, 547, 1082, 695, 16120, 545, 2853, 568, 519, 20982, 15632, 540, 12012, 2829, 540, 9637, 630, 3008, 290, 1070, 1419, 19658, 998, 24754, 25576, 15664, 610, 824, 17391, 15128, 630, 310, 1074, 601, 2006, 267, 476, 1001, 280, 1040, 1452, 32412, 2833, 5512, 9439, 547, 1569, 1875, 867, 2435, 26441, 1141, 2792, 609, 14326, 267, 5583, 585, 7067, 12738, 267, 543, 6051, 540, 4503, 20339, 949, 2049, 630, 295, 531, 604, 1314, 267, 476, 1001, 279, 1040, 25408, 267, 4207, 5778, 27023, 881, 1382, 7028, 519, 6228, 540, 971, 16637, 550, 9259, 267, 5316, 5024, 873, 547, 1950, 14715, 3157, 5473, 18215, 545, 3889, 543, 9949, 7154, 3060, 2534, 630, 309, 7159, 331, 1696, 620, 1421, 476, 1220, 276, 6393, 19328, 6993, 4471, 781, 5152, 834, 296, 2549, 8752, 257, 5713, 607, 513, 14984, 12576, 540, 519, 13710, 1761, 2404, 609, 2502, 12012, 2829, 540, 4656, 269, 3414, 859, 25607, 18405, 543, 30811, 23964, 267, 19700, 7832, 593, 513, 3460, 2509, 4514, 26126, 267, 18136, 8086, 2390, 835, 781, 3020, 9759, 3564, 5007, 23079, 610, 4468, 958, 13684, 6788, 269, 1306, 971, 267, 7574, 15885, 899, 834, 296, 2549, 8752, 257, 1599, 711, 1152, 607, 7499, 7215, 855, 849, 607, 6472, 585, 2123, 2208, 543, 5289, 31135, 780, 306, 4577, 23046, 10613, 281, 634, 5295, 540, 14675 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 19906, 264, 1341, 476, 272, 264, 23378, 8931, 825, 1948, 3553, 1154, 519, 476, 271, 628, 6241, 547, 782, 6936, 454, 825, 1948, 1492, 1871, 568, 476, 271, 454, 825, 585, 1775, 538, 2039, 12759, 19906, 264, 1341, 476, 272, 2187, 1038, 3349, 5157, 6012, 271, 316, 815, 6936, 692, 825, 1948, 3553, 1154, 519, 476, 271, 628, 4737, 547, 782, 8771, 454, 825, 1948, 4754, 2254, 10208, 689, 1871, 952, 2855, 568, 8900, 454, 825, 585, 1775, 538, 2039, 263, 272, 267, 1871, 1341, 476, 272, 2187, 1038, 3349, 314, 271, 6012, 328, 316, 815, 8771, 22562, 825, 585, 1775, 538, 2039, 263, 272, 267, 7003, 19906, 264, 1341, 476, 272, 2187, 1038, 585, 795, 538, 2039, 263, 272, 267, 1871, 1341, 476, 272, 2187, 2018, 952, 795, 2999, 2855, 5157, 268, 272, 14158, 3546, 3349, 5157, 6012, 329, 316, 815, 3349, 5157, 268, 272, 6012, 329, 2639, 2018, 3116, 912, 3546, 3349, 5157, 6012, 329, 316, 815, 3349, 5157, 268, 272, 6012, 329, 316, 610, 3349, 5157, 268, 272, 6012, 329, 910, 2855, 5157, 268, 272, 27663, 8931, 825, 1948, 2745, 3349, 1934, 454, 825, 1948, 585, 1775, 538, 2039, 12759, 19906, 264, 1341, 476, 272, 2187, 825, 1948, 672, 1820, 6025, 762, 5157, 3910, 694, 335, 815, 834, 19515, 825, 1948, 672, 1820, 19629, 333, 15419, 825, 1820, 303, 23411, 19906, 267, 7003, 19906, 264, 910, 476, 272, 267, 1871, 267, 1496, 3910, 3349, 2020, 3698, 1820, 303, 23411, 19906, 267, 4994, 267, 1871, 267, 2619, 267, 3349, 2187, 825, 1820, 263, 8161, 267, 1871, 267, 2619, 994, 825, 952, 4994, 2652, 476, 271, 543, 1871, 11203, 476, 271, 543, 3349, 27709, 6012, 7407, 14158, 1038, 2619, 6910, 19906, 27709, 7481, 1038, 1820, 9638, 987, 994, 1038, 2132, 692, 825, 952, 4994, 2652, 476, 271, 543, 2040, 2652, 476, 271, 912, 1038, 1820, 9638, 987, 994, 1038, 2132, 692, 825, 1948, 12949, 2009, 676, 24937, 1699, 1871, 454, 825, 952, 3349, 27709, 910, 476, 272, 6012, 7407, 14158, 1038, 1007, 24786, 815, 11713, 1038, 1820, 303, 23411, 19906, 267, 4994, 910, 476, 272, 267, 1871, 267, 1007, 24786, 267, 3349, 2020, 825, 1948, 12949, 2009, 676, 8051, 585, 1699, 1871, 3097, 825, 952, 1871, 13843, 2855, 27709, 316, 543, 3349, 27709, 268, 272, 6012, 7407, 910, 2855, 27709, 316, 14158, 1038, 2619, 6910, 19906, 27709, 7481, 1038, 1820, 303, 23411, 19906, 267, 4994, 910, 476, 272, 267, 1871, 910, 2855, 27709, 3910, 2619, 267, 3349, 2020, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 2855, 815, 1496, 274, 267, 476, 4097, 267, 476, 275, 267, 476, 1321, 267, 476, 276, 267, 476, 273, 2639, 825, 1871, 815, 476, 280, 454, 825, 1948, 1820, 263, 13765, 11764, 19906, 267, 1871, 267, 476, 275, 4917, 825, 2638, 11764, 289, 18847, 10000, 19906, 267, 1871, 264, 0, 12163, 25363, 13586, 513, 1533, 3684, 689, 519, 13289, 9226, 10189, 454, 291, 17805, 566, 568, 2139, 1934, 281, 4179, 2517, 326, 603, 889, 2593, 270, 6853, 10520, 1431, 270, 10520, 1431, 692, 15368, 1227, 1018, 594, 6415, 3257, 1934, 568, 4259, 909, 513, 1533, 3684, 269, 12793, 26518, 609, 948, 619, 4732, 727, 12173, 3890, 616, 538, 519, 454, 3559, 11825, 18258, 3758, 538, 713, 15682, 563, 12163, 5228, 13289, 1104, 10724, 454, 5814, 942, 454, 5814, 19883, 454, 5814, 20956, 273, 692, 5814, 948, 619, 607, 948, 619, 454, 5814, 2619, 318, 17839, 1676, 607, 2619, 318, 17839, 1676, 454, 5814, 11885, 607, 5286, 454, 258, 689, 1533, 8548, 22389, 1104, 948, 619, 454, 258, 1104, 1533, 8548, 22389, 269, 3559, 11825, 454, 5814, 17626, 692, 8421, 3101, 12500, 553, 545, 3519, 14808, 263, 24038, 284, 8421, 3101, 6185, 292, 289, 308, 294, 994, 8421, 3101, 10947, 19868, 3455, 3488, 10520, 1431, 262, 1040, 3553, 25583, 263, 8421, 3101, 269, 2562, 23859, 2020, 304, 305, 318, 300, 5588, 3036, 318, 9915, 292, 3633, 815, 910, 736, 454, 307, 30728, 318, 300, 5588, 3036, 318, 9915, 292, 3633, 815, 910, 2004, 454, 307, 7838, 301, 318, 2316, 10933, 815, 476, 278, 476, 1948, 7643, 7531, 3698, 8773, 5334, 332, 6025, 652, 25716, 2187, 825, 8173, 825, 6282, 525, 513, 1533, 3684, 609, 2829, 3989, 538, 519, 1412, 560, 919, 262, 5044, 543, 13289, 3773, 16924, 454, 825, 2433, 8873, 281, 1533, 3684, 1843, 454, 825, 8173, 825, 1948, 7756, 2829, 519, 8773, 666, 581, 538, 269, 5410, 8726, 649, 991, 476, 24801, 9339, 8894, 825, 2829, 815, 18358, 11034, 1575, 3299, 1412, 323, 9057, 710, 4671, 13759, 3299, 1412, 338, 12522, 3299, 1412, 333, 3572, 566, 3299, 1412, 7955, 7272, 531, 2280, 3299, 1412, 335, 1157, 1575, 7272, 531, 2280, 3299, 1412, 7955, 318, 571, 1188, 262, 6540, 825, 1948, 634, 1533, 3684, 568, 3355, 1242, 609, 2409, 3989, 538, 519, 31584, 288, 2388, 1362, 1336, 2630, 563, 825, 8773, 815, 31584, 288, 2388, 6025, 652, 284, 11687, 2020, 825, 1948, 19461, 1125, 519, 1533, 3684, 454, 825, 3684, 815, 10724, 263, 16347, 284, 13681, 582, 267, 2829, 284, 560, 919, 267, 3355, 8782, 11034, 1575, 3299, 11716, 18425, 20777, 4671, 3419, 7970, 18989, 2020, 825, 1948, 25792, 13289, 979, 1934, 476, 5785, 24801, 955, 8894, 825, 1948, 634, 16105, 568, 1412, 16341, 4671, 3419, 3455, 3299, 2707, 8782, 9690, 26077, 3299, 3186, 8782, 9188, 1600, 26077, 7055, 825, 1948, 865, 952, 649, 1572, 8773, 269, 8218, 19572, 519, 2630, 1899, 3081, 602, 952, 649, 2811, 538, 519, 1412, 11034, 1575, 262, 1533, 267, 519, 9594, 786, 6494, 721, 454, 825, 1948, 547, 519, 1412, 323, 9057, 710, 4671, 13759, 262, 1533, 563, 825, 3684, 14491, 4671, 4920, 819, 3488, 8218, 3299, 2707, 8782, 11034, 1575, 3299, 3186, 8782, 323, 9057, 710, 4671, 13759, 5073, 825, 3684, 14491, 4671, 4920, 819, 3488, 326, 9369, 5334, 12522, 3299, 2707, 8782, 265, 3299, 3186, 8782, 338, 12522, 5073, 825, 3684, 14491, 4671, 4920, 819, 3488, 20142, 633, 15461, 7272, 531, 2280, 3299, 2707, 8782, 265, 3299, 3186, 8782, 333, 3572, 566, 5073, 825, 3684, 14491, 4671, 4920, 819, 3488, 20142, 633, 15461, 5091, 1886, 4752, 3299, 2707, 8782, 265, 3299, 3186, 8782, 333, 3572, 566, 5073, 825, 3684, 14491, 4671, 4920, 819, 3488, 335, 1157, 1575, 3299, 2707, 8782, 265, 3299, 3186, 8782, 335, 1157, 1575, 7272, 531, 2280, 5073, 825, 3684, 14491, 4671, 4920, 819, 3488, 7955, 3299, 2707, 8782, 265, 3299, 3186, 8782, 7955, 7272, 531, 2280, 5073, 825, 3684, 14491, 4671, 4920, 819, 3488, 7955, 318, 571, 1188, 3299, 2707, 8782, 265, 3299, 3186, 8782, 7955, 318, 571, 1188, 17210, 825, 2132, 8773, 7531, 5035, 31584, 288, 2388, 24998, 2187, 825, 8173, 825, 901, 1362, 568, 1018, 519, 1533, 3684, 568, 3710, 2390, 269, 16294, 1022, 10305, 538, 519, 6449, 8181, 1029, 4020, 528, 563, 825, 1403, 538, 513, 1362, 1505, 543, 1616, 547, 1689, 2829, 267, 1305, 1582, 269, 4302, 4240, 4671, 3419, 3455, 547, 519, 5551, 9594, 1505, 563, 825, 1280, 1383, 267, 952, 594, 6415, 538, 519, 593, 318, 10938, 5091, 9057, 710, 4671, 13759, 3890, 1505, 543, 1616, 547, 979, 547, 519, 2922, 1533, 267, 594, 1131, 1305, 519, 454, 825, 6446, 4240, 4671, 3419, 3455, 547, 1582, 3052, 9369, 5334, 12522, 3890, 1287, 2132, 689, 602, 1505, 269, 1411, 666, 1294, 713, 8045, 538, 602, 1505, 2630, 780, 825, 8074, 602, 519, 1533, 3684, 568, 606, 10137, 540, 713, 1362, 269, 4935, 267, 519, 1533, 3684, 3294, 814, 782, 519, 2409, 2630, 454, 825, 543, 811, 602, 616, 3773, 950, 2196, 324, 519, 3684, 815, 10724, 263, 16347, 284, 13681, 582, 267, 3267, 3738, 3009, 538, 519, 8773, 5334, 332, 3890, 1599, 1657, 563, 825, 901, 1797, 602, 649, 666, 1289, 834, 8063, 3684, 257, 3252, 689, 1369, 713, 1362, 269, 594, 4318, 269, 952, 594, 4941, 547, 1569, 519, 1699, 454, 825, 1533, 267, 594, 1223, 1205, 621, 609, 1582, 269, 8063, 454, 825, 8173, 825, 1219, 6449, 8181, 9191, 1345, 267, 1449, 25716, 2187, 1038, 8173, 1038, 20472, 528, 269, 901, 1599, 8255, 950, 513, 1007, 1843, 568, 3355, 1242, 563, 1038, 2433, 8873, 281, 7183, 454, 1038, 8173, 1038, 1582, 28333, 719, 815, 476, 4335, 271, 476, 1948, 7643, 454, 1038, 1582, 269, 2998, 531, 318, 336, 337, 815, 15079, 476, 1948, 547, 4558, 519, 3804, 30040, 3009, 454, 1038, 1582, 23357, 23059, 318, 2998, 531, 9078, 665, 815, 5286, 15126, 8443, 271, 267, 476, 271, 8079, 476, 1948, 1141, 649, 1616, 519, 8773, 547, 5397, 547, 454, 1038, 1582, 269, 9690, 9078, 6327, 815, 5286, 15126, 8443, 271, 267, 476, 271, 8079, 476, 1948, 1141, 649, 4867, 616, 269, 32114, 649, 1376, 693, 476, 271, 267, 271, 454, 1038, 1582, 8542, 822, 318, 628, 3306, 815, 476, 273, 476, 1948, 12939, 538, 6279, 585, 875, 2673, 649, 991, 547, 581, 547, 938, 3077, 563, 1038, 1582, 6155, 337, 633, 22710, 719, 815, 476, 4968, 476, 1948, 875, 1279, 1354, 649, 2285, 909, 593, 6117, 563, 1038, 1582, 29624, 815, 7183, 454, 1038, 1582, 269, 13715, 815, 2619, 318, 17839, 1676, 10947, 318, 13715, 4590, 1038, 1948, 5590, 909, 17626, 8818, 609, 20798, 454, 1038, 1582, 6745, 652, 815, 1449, 454, 1038, 1582, 14371, 815, 2619, 318, 17839, 1676, 10947, 14682, 1429, 10797, 1038, 1582, 16000, 318, 8527, 566, 815, 5286, 15126, 31912, 12639, 269, 6523, 18828, 32564, 270, 273, 1070, 910, 12639, 4732, 514, 18828, 32564, 270, 273, 264, 3910, 1496, 12639, 4732, 514, 18828, 32564, 270, 273, 1070, 5286, 269, 6523, 18828, 32564, 270, 273, 13580, 7481, 1038, 1582, 16192, 318, 8527, 566, 815, 5286, 15126, 31912, 12639, 269, 6523, 8987, 12639, 32564, 270, 273, 1070, 910, 12639, 4732, 514, 8987, 12639, 32564, 270, 273, 264, 3910, 1496, 12639, 4732, 514, 8987, 12639, 32564, 270, 273, 1070, 5286, 269, 6523, 8987, 12639, 32564, 270, 273, 13580, 7481, 1038, 952, 711, 1582, 6745, 652, 912, 2018, 1582, 4732, 518, 658, 5332, 822, 815, 17626, 2529, 518, 658, 2891, 270, 22563, 14121, 1399, 4785, 289, 272, 2580, 476, 31634, 271, 267, 942, 719, 284, 272, 264, 476, 1948, 4219, 8028, 300, 1297, 607, 1336, 689, 561, 338, 1315, 22563, 14121, 1399, 270, 3722, 300, 20330, 2018, 1582, 4732, 518, 658, 5332, 822, 12500, 7596, 3433, 815, 31634, 271, 454, 2018, 942, 4732, 2748, 263, 273, 994, 2018, 1582, 4732, 518, 658, 14682, 8692, 815, 17626, 2529, 518, 658, 2891, 270, 22563, 14121, 1399, 4785, 289, 271, 2580, 476, 31634, 271, 267, 942, 719, 284, 272, 264, 476, 1948, 4219, 8028, 300, 1297, 607, 1336, 689, 561, 338, 1315, 22563, 14121, 1399, 270, 3722, 300, 20330, 2018, 1582, 4732, 518, 658, 14682, 8692, 12500, 7596, 3433, 815, 31634, 271, 454, 2018, 942, 4732, 2748, 263, 273, 994, 1038, 3116, 912, 2018, 1582, 4732, 518, 658, 5332, 822, 815, 17626, 2529, 518, 658, 2891, 26376, 273, 2580, 476, 31634, 271, 2676, 14030, 2018, 942, 719, 284, 272, 264, 476, 1948, 1689, 8028, 300, 1297, 607, 1336, 689, 561, 338, 1315, 22563, 14121, 1399, 270, 3722, 300, 20330, 2018, 1582, 4732, 518, 658, 5332, 822, 12500, 7596, 3433, 815, 476, 31634, 271, 692, 2018, 1582, 4732, 518, 658, 14682, 8692, 815, 17626, 2529, 518, 658, 2891, 26376, 275, 2580, 476, 31634, 271, 2676, 14030, 17264, 942, 719, 284, 272, 264, 476, 1948, 1689, 8028, 300, 1297, 607, 1336, 689, 561, 338, 1315, 22563, 14121, 1399, 270, 3722, 300, 20330, 2018, 1582, 4732, 518, 658, 14682, 8692, 12500, 7596, 3433, 815, 476, 31634, 271, 692, 1038, 1582, 6155, 3925, 815, 5286, 15126, 8443, 272, 267, 476, 271, 20285, 825, 1219, 6449, 23437, 9191, 1345, 2187, 1038, 8173, 1038, 20121, 1192, 528, 269, 901, 535, 2863, 542, 8255, 950, 519, 1843, 568, 10032, 563, 1038, 2433, 8873, 281, 7183, 454, 1038, 8173, 1038, 20956, 273, 6155, 652, 5797, 5472, 20360, 3298, 10797, 825, 1219, 9337, 24786, 4311, 267, 1699, 17045, 267, 3077, 17045, 2187, 1038, 1820, 2891, 307, 13759, 19219, 281, 2715, 9574, 7351, 19219, 281, 15079, 2668, 8971, 6025, 13759, 17045, 267, 1699, 17045, 4917, 1038, 1582, 14371, 815, 2619, 318, 17839, 1676, 10947, 14682, 1429, 4590, 1038, 2619, 318, 17839, 1676, 6155, 6359, 330, 14259, 4311, 14371, 267, 1582, 14371, 10947, 318, 591, 23753, 263, 9690, 17045, 4917, 1038, 3077, 815, 1582, 14371, 10947, 318, 591, 23753, 6025, 13759, 17045, 994, 1038, 2619, 815, 1496, 339, 13759, 17045, 2639, 1038, 2619, 318, 17839, 1676, 11075, 677, 652, 6025, 13759, 267, 2619, 994, 1038 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9089, 6013, 5368, 614, 13133, 725, 540, 17691, 543, 14868, 267, 799, 2709, 4195, 5380, 593, 2085, 6040, 2984, 1247, 4509, 741, 9759, 543, 2686, 4644, 269, 901, 1576, 1770, 786, 5490, 883, 713, 4241, 1858, 676, 7421, 24789, 525, 322, 2100, 30007, 781, 717, 3234, 332, 674, 8543, 24079, 281, 3733, 2195, 1299, 6181, 1742, 3126, 267, 4481, 2152, 1948, 272, 543, 1948, 273, 2854, 676, 681, 13273, 27068, 267, 11609, 676, 6424, 16019, 267, 11954, 676, 26778, 2506, 12064, 267, 543, 1577, 339, 1229, 676, 13343, 23720, 269, 3414, 2673, 6514, 540, 891, 5931, 267, 649, 2832, 547, 2263, 875, 4207, 15888, 556, 574, 2602, 2757, 8941, 547, 9029, 547, 2413, 9458, 1247, 8497, 519, 3312, 6891, 543, 6835, 11251, 1369, 873, 780, 2862, 269, 12465, 18912, 8941, 5288, 269, 556, 19960, 1441, 8747, 692, 288, 269, 8466, 2796, 540, 5929, 18912, 8941, 692, 6524, 11362, 883, 5368, 614, 13133, 725, 267, 621, 781, 1898, 547, 1174, 519, 8129, 540, 8106, 18912, 8941, 269, 1452, 2984, 1419, 6039, 5837, 2065, 5301, 267, 3450, 3407, 4245, 827, 21644, 971, 607, 19969, 267, 22838, 267, 543, 11587, 269, 3683, 942, 267, 1585, 23200, 7153, 2066, 4529, 267, 4396, 4328, 741, 4567, 607, 15851, 6386, 5293, 1524, 998, 5481, 780, 289, 269, 634, 1909, 540, 5368, 614, 13133, 566, 538, 2413, 2486, 692, 17457, 1427, 32478, 540, 5929, 18912, 8941, 1683, 3255, 585, 4589, 543, 3879, 21116, 547, 2232, 1007, 6848, 4145, 267, 4161, 11475, 267, 543, 6338, 3309, 6041, 269, 1635, 3257, 865, 267, 789, 1711, 6209, 4296, 1063, 2250, 543, 1459, 267, 3850, 7820, 3988, 547, 4497, 609, 5432, 2943, 7960, 6386, 780, 7656, 269, 22718, 717, 3234, 332, 674, 8543, 24079, 281, 3733, 2195, 1299, 6181, 1742, 692, 288, 269, 10886, 1646, 281, 2826, 2284, 607, 513, 2178, 4775, 1291, 692, 1103, 717, 3234, 332, 674, 8543, 24079, 281, 3733, 2195, 1299, 6181, 1742, 267, 2826, 2284, 5713, 607, 519, 3119, 16502, 910, 513, 22880, 4334, 547, 6671, 28402, 540, 2481, 17632, 538, 11605, 1336, 538, 1082, 3140, 18912, 8941, 269, 4173, 2990, 607, 606, 9441, 693, 519, 17121, 6202, 2126, 9744, 20502, 1200, 6043, 267, 4987, 267, 543, 8296, 267, 1818, 1200, 606, 16779, 4137, 585, 1762, 3988, 780, 289, 269, 10439, 9423, 281, 3203, 1740, 543, 2681, 5079, 7393, 2239, 1764, 692, 21837, 16019, 781, 11247, 543, 26778, 2506, 12064, 781, 4778, 1404, 1713, 5107, 538, 23187, 7553, 267, 5790, 267, 543, 8082, 2429, 519, 3126, 269, 1280, 1383, 267, 18632, 24698, 543, 10565, 20224, 11168, 8594, 543, 24457, 1282, 8090, 540, 4655, 610, 10462, 267, 2870, 513, 11617, 2502, 1995, 602, 1264, 906, 519, 2239, 780, 290, 269, 11154, 532, 3312, 8941, 585, 4207, 10083, 692, 313, 25333, 322, 2100, 30007, 5578, 2685, 3082, 338, 1134, 8153, 29631, 5515, 899, 544, 1069, 320, 1749, 543, 1295, 7974, 2720, 267, 1102, 6748, 873, 609, 2413, 2283, 4850, 1510, 9561, 8289, 540, 741, 5072, 269, 901, 1935, 2636, 585, 10578, 1915, 6384, 543, 4729, 7835, 602, 13469, 609, 2221, 781, 3988, 1247, 1869, 26621, 2245, 780, 4353, 269, 3955, 13694, 4296, 692, 288, 269, 10017, 281, 24167, 2790, 1072, 11269, 538, 17121, 6202, 9615, 11120, 1006, 692, 3528, 4259, 519, 1650, 1369, 513, 2126, 4099, 585, 30223, 12322, 267, 717, 3234, 332, 674, 8543, 24079, 281, 3733, 2195, 1299, 6181, 1742, 3091, 3255, 547, 1865, 3584, 1644, 547, 15730, 6530, 267, 3797, 267, 543, 3929, 2208, 269, 3958, 267, 3695, 875, 2790, 1072, 568, 13269, 666, 6536, 6568, 543, 1620, 1851, 3988, 780, 289, 269, 8836, 2090, 281, 15766, 908, 2518, 12563, 339, 1446, 14624, 538, 14676, 543, 8642, 9089, 692, 21008, 532, 1114, 12496, 540, 8471, 12563, 2145, 525, 2066, 2477, 543, 4525, 8711, 519, 2956, 540, 2686, 5385, 543, 9542, 538, 1148, 3029, 899, 13371, 2835, 543, 8642, 9089, 269, 4841, 949, 1382, 7648, 540, 1808, 8941, 689, 1472, 519, 1158, 543, 5659, 875, 789, 723, 1044, 9862, 585, 4207, 9458, 780, 309, 269, 10390, 692, 1607, 1576, 1770, 20217, 1053, 547, 9691, 4983, 519, 2081, 538, 799, 556, 19960, 1441, 17691, 543, 14868, 1599, 1369, 11174, 5708, 8642, 9089, 269, 1635, 4974, 1806, 971, 607, 717, 3234, 332, 674, 8543, 24079, 281, 3733, 2195, 1299, 6181, 1742, 267, 6267, 2744, 4030, 883, 519, 3860, 3157, 3297, 21130, 5929, 6386, 543, 15052, 741, 7071, 585, 519, 11972, 1379, 540, 9423, 269, 5015, 267, 15834, 4296, 5000, 6626, 5717, 4478, 2790, 1072, 267, 2528, 267, 543, 7499, 4082, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 19285, 1087, 826, 281, 717, 3234, 332, 674, 8543, 24079, 281, 3733, 2195, 1299, 6181, 1742, 1948, 273, 454, 310, 31581, 281, 681, 13273, 27068, 454, 9209, 1740, 281, 6424, 16019, 454, 8624, 832, 281, 26778, 2506, 12064, 454, 4131, 1562, 281, 13343, 23720, 454, 290, 1478, 589, 281, 19664, 2405, 2088, 454, 290, 1478, 645, 281, 18238, 5178, 531, 706, 320, 1299, 3026, 328, 681, 4428, 3626, 454, 24314, 24793, 281, 4728, 476, 273, 267, 476, 1001, 272, 454, 21812, 281, 24789, 525, 322, 2100, 30007, 454, 8310, 3018, 267, 24789, 525, 322, 2100, 30007, 5950, 519, 2034, 3390, 540, 922, 1034, 2487, 717, 3234, 332, 674, 8543, 24079, 838, 3626, 742, 3126, 267, 3733, 2195, 1299, 6181, 1742, 269, 769, 519, 1101, 3390, 267, 3988, 941, 5189, 547, 2826, 2284, 267, 519, 7168, 4775, 16502, 945, 1568, 693, 519, 17121, 6202, 2126, 9744, 585, 17684, 5346, 267, 15508, 18633, 267, 3638, 14038, 269, 717, 3234, 332, 674, 8543, 24079, 281, 3733, 2195, 1299, 6181, 1742, 1948, 272, 6806, 609, 519, 27615, 13135, 2669, 540, 835, 540, 519, 2126, 4099, 779, 3781, 5234, 267, 543, 3733, 2195, 1299, 6181, 1742, 1948, 273, 26717, 909, 519, 1985, 6640, 607, 519, 1554, 5234, 267, 1519, 2826, 2284, 267, 616, 21945, 585, 960, 543, 1310, 7128, 723, 8452, 547, 8495, 519, 10071, 563, 2026, 513, 1267, 540, 519, 22266, 4323, 630, 663, 519, 9744, 2212, 779, 29097, 1465, 1070, 519, 2550, 693, 17121, 6202, 616, 16876, 547, 519, 2679, 543, 711, 15868, 547, 979, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 3725, 19960, 1441, 6181, 1742, 543, 3733, 2195, 257, 607, 851, 540, 834, 16300, 16337, 1315, 22383, 1299, 18753, 26358, 1315, 674, 8543, 24079, 267, 23205, 16161, 267, 6181, 1742, 1299, 19088, 1108, 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, 277, 281, 19484, 519, 32148, 281, 8682, 6953, 27626, 3414, 20154, 640, 543, 4197, 14033, 268, 5719, 987, 23800, 543, 519, 2991, 5158, 692, 7072, 1384, 763, 1523, 540, 2669, 543, 519, 1310, 5158, 814, 19832, 3425, 2094, 942, 1799, 655, 3645, 269, 4014, 621, 949, 3100, 899, 513, 21693, 573, 610, 9184, 5622, 1641, 267, 3695, 891, 2093, 666, 2965, 3142, 721, 6251, 547, 2713, 16180, 2729, 269, 769, 1249, 267, 1082, 2043, 1265, 4313, 538, 5289, 2853, 543, 4978, 4478, 1018, 4523, 950, 649, 1780, 593, 269, 901, 1770, 12538, 883, 1582, 25298, 2409, 10704, 1472, 695, 16120, 1143, 267, 2282, 11546, 987, 2833, 630, 301, 14701, 338, 1070, 543, 519, 1310, 5158, 269, 1284, 3513, 1865, 1585, 4485, 547, 8508, 9019, 267, 8600, 585, 2669, 267, 543, 10128, 7096, 715, 14701, 4030, 547, 3986, 2123, 2208, 543, 8171, 780, 4089, 476, 272, 281, 16871, 18200, 1275, 910, 15531, 1290, 3228, 538, 14087, 2006, 775, 692, 288, 1713, 2460, 540, 2324, 998, 12194, 2404, 609, 2669, 3322, 16561, 922, 12491, 527, 1464, 269, 2755, 713, 1522, 3280, 18447, 267, 9301, 602, 3388, 1107, 1519, 6000, 1107, 568, 6650, 2006, 550, 2636, 721, 547, 11349, 14696, 267, 2661, 2247, 2685, 267, 543, 6536, 4514, 4296, 609, 1866, 780, 19865, 281, 14484, 633, 5675, 32653, 454, 12648, 930, 942, 547, 4760, 827, 707, 4555, 543, 4606, 3823, 9019, 269, 6333, 2055, 971, 607, 1384, 265, 1548, 2306, 596, 1034, 31604, 827, 2669, 888, 265, 1215, 1281, 3206, 827, 707, 1378, 9019, 1860, 707, 3232, 1272, 888, 265, 2052, 596, 2697, 1022, 2081, 538, 799, 14344, 707, 6650, 2006, 775, 1223, 1291, 547, 3152, 7772, 610, 7071, 585, 1272, 2496, 4089, 476, 273, 281, 1744, 16120, 545, 13756, 585, 3117, 4109, 3690, 1431, 692, 4537, 600, 753, 3494, 602, 2502, 609, 14326, 543, 824, 16447, 569, 7516, 6087, 873, 547, 7520, 7067, 267, 5583, 267, 543, 7004, 1282, 2101, 1272, 13289, 267, 1519, 2669, 269, 2290, 3532, 1907, 6964, 676, 695, 600, 753, 5001, 568, 519, 5137, 540, 16339, 778, 657, 1107, 6946, 17008, 1500, 689, 2067, 2326, 29544, 19001, 267, 15752, 267, 543, 14696, 269, 1452, 30060, 15985, 956, 4196, 607, 10827, 2456, 1063, 1480, 7919, 543, 10143, 4229, 267, 5807, 10103, 543, 3666, 1369, 2043, 543, 2950, 780, 12244, 281, 5071, 2659, 13574, 2677, 335, 778, 334, 454, 8620, 707, 1378, 20538, 16339, 778, 334, 1210, 3688, 1336, 538, 2470, 610, 707, 1753, 269, 1306, 14517, 6698, 8204, 3344, 540, 3054, 267, 1346, 2673, 547, 596, 267, 610, 6626, 2152, 8506, 3007, 269, 4495, 2347, 267, 3180, 513, 5618, 14656, 16008, 1141, 596, 2769, 14696, 585, 519, 4245, 4121, 2429, 707, 3460, 3976, 2484, 543, 5305, 1022, 27589, 12042, 1359, 2123, 2208, 780, 4089, 476, 274, 281, 29362, 3245, 14033, 268, 5719, 987, 23800, 692, 6624, 1004, 1867, 2348, 16637, 550, 13341, 1247, 18460, 4791, 2669, 267, 4122, 5219, 547, 607, 2282, 11546, 987, 2833, 630, 301, 14701, 338, 1040, 6270, 6589, 4749, 4125, 17915, 540, 4708, 267, 694, 1066, 640, 267, 543, 14955, 6463, 2648, 282, 25310, 540, 1769, 282, 22653, 687, 609, 21549, 6068, 3283, 282, 543, 1272, 8039, 13296, 1169, 2962, 543, 3375, 781, 1764, 3587, 7805, 269, 24356, 891, 9259, 3091, 3407, 4030, 883, 8471, 18408, 7282, 8296, 267, 19807, 267, 4276, 267, 543, 3483, 780, 30206, 11762, 1384, 265, 14424, 543, 4334, 1114, 6436, 7713, 1946, 715, 14701, 338, 2049, 630, 324, 3052, 1421, 12214, 267, 5626, 267, 5289, 1916, 265, 10812, 1761, 3156, 540, 715, 14701, 10752, 538, 4948, 1272, 267, 2523, 10771, 6568, 267, 6043, 267, 543, 2495, 6194, 563, 265, 13891, 622, 2436, 6220, 2609, 540, 715, 14701, 6386, 883, 1439, 6361, 3734, 1416, 543, 16236, 1489, 2533, 1131, 581, 6225, 780, 6962, 1384, 32382, 519, 7164, 14099, 540, 2669, 543, 519, 1310, 5158, 3340, 10100, 267, 7279, 267, 543, 22371, 269, 1635, 6313, 695, 16120, 545, 5389, 267, 2502, 609, 715, 14701, 3332, 267, 543, 8026, 1582, 26190, 267, 649, 666, 13720, 938, 12194, 267, 9784, 6650, 2006, 775, 267, 543, 10244, 16012, 7326, 547, 10802, 1312, 938, 2729, 543, 519, 2729, 540, 1346, 1472, 721, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 306, 659, 1042, 10426, 720, 281, 1744, 16120, 545, 22604, 547, 12280, 267, 667, 3539, 267, 543, 519, 2991, 5158, 454, 274, 5900, 2317, 906, 12595, 693, 936, 1269, 12573, 1315, 681, 276, 476, 28071, 454, 20007, 1227, 6340, 267, 649, 782, 3068, 2669, 689, 519, 4090, 649, 616, 22885, 269, 634, 1152, 22979, 649, 723, 538, 1272, 568, 602, 835, 1554, 649, 786, 5884, 269, 8616, 538, 2413, 5375, 2528, 649, 21183, 2476, 689, 713, 1702, 543, 12955, 568, 1419, 21787, 269, 14134, 338, 666, 5965, 519, 12955, 585, 2669, 267, 5965, 519, 12955, 1268, 779, 6068, 3283, 585, 741, 2669, 543, 948, 581, 516, 8491, 1004, 547, 2097, 547, 2474, 609, 519, 2530, 540, 18825, 789, 2648, 563, 1103, 713, 1576, 596, 786, 849, 1451, 875, 547, 798, 606, 589, 5984, 2677, 335, 778, 334, 269, 634, 589, 5984, 2677, 335, 778, 334, 568, 1776, 1259, 547, 561, 990, 5944, 4217, 938, 19644, 835, 547, 5884, 29596, 269, 634, 16008, 2488, 2620, 11812, 585, 519, 1272, 540, 519, 1367, 945, 568, 538, 519, 1184, 540, 610, 814, 2907, 8977, 539, 543, 6770, 17615, 19479, 269, 634, 9837, 540, 519, 2677, 335, 778, 334, 568, 547, 1711, 513 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2347, 1142, 20372, 1210, 513, 14610, 267, 1287, 2697, 1018, 1826, 540, 20372, 621, 568, 563, 13043, 454, 17582, 18694, 454, 23322, 2524, 540, 1230, 525, 454, 17582, 18694, 454, 23322, 2524, 540, 1230, 525, 454, 1432, 2306, 513, 13409, 1114, 689, 513, 12718, 610, 513, 13306, 286, 2422, 713, 5363, 4199, 609, 707, 1053, 547, 1491, 741, 9511, 1983, 547, 519, 1985, 1377, 607, 789, 2259, 7114, 519, 4162, 540, 513, 13409, 543, 9236, 873, 547, 824, 476, 274, 5937, 5546, 563, 13043, 454, 17582, 18694, 454, 28139, 12455, 23426, 23037, 454, 17582, 18694, 454, 28139, 12455, 23426, 23037, 454, 24876, 707, 1053, 513, 4960, 547, 4990, 29977, 883, 6688, 602, 1118, 2631, 547, 873, 563, 13043, 454, 17582, 18694, 454, 10908, 27443, 281, 634, 5900, 1026, 2373, 540, 12443, 326, 976, 454, 17582, 18694, 454, 10908, 27443, 281, 634, 5900, 1026, 2373, 540, 12443, 326, 976, 454, 8196, 713, 29395, 609, 519, 20700, 8081, 7689, 281, 634, 5900, 1026, 2373, 540, 12443, 326, 976, 563, 13043, 454, 17582, 18694, 454, 19352, 532, 12443, 326, 976, 454, 17582, 18694, 454, 19352, 532, 12443, 326, 976, 454, 4415, 713, 5373, 4976, 267, 707, 1126, 786, 723, 1187, 1565, 827, 519, 7114, 2934, 540, 29977, 563, 13043, 454, 17582, 18694, 454, 10481, 5852, 281, 24951, 3004, 19649, 6950, 1299, 4033, 25609, 454, 17582, 18694, 454, 10481, 5852, 281, 24951, 3004, 19649, 6950, 1299, 4033, 25609, 454, 8196, 713, 4199, 547, 948, 707, 1053, 1020, 741, 1620, 540, 25671, 6950, 543, 824, 1079, 8820, 5546, 269, 4841, 786, 5635, 519, 10305, 540, 25671, 6950, 547, 1346, 540, 824, 7077, 5515, 267, 971, 607, 12730, 543, 9065, 1023, 267, 538, 713, 9511, 2534, 563, 13043, 454, 17582, 18694, 454, 10908, 27443, 281, 9351, 11150, 454, 17582, 18694, 454, 10908, 27443, 281, 9351, 11150, 454, 8196, 713, 29395, 609, 519, 20700, 8081, 7689, 281, 9351, 11150, 563, 13043, 454, 17582, 18694, 454, 17730, 9046, 5999, 585, 32309, 454, 17582, 18694, 454, 17730, 9046, 5999, 585, 32309, 454, 20055, 707, 1053, 3142, 6128, 547, 1272, 256, 769, 713, 3635, 267, 707, 1053, 786, 1711, 2262, 2042, 547, 13173, 513, 3337, 609, 519, 3259, 540, 1142, 2427, 13042, 563, 13043, 454, 17582, 18694, 454, 19352, 532, 543, 17291, 12443, 326, 976, 454, 17582, 18694, 454, 19352, 532, 543, 17291, 12443, 326, 976, 454, 4002, 713, 4976, 267, 707, 1126, 786, 1451, 547, 2012, 29977, 543, 2697, 873, 538, 519, 1158, 1472, 1864, 269, 0, 2791, 949, 849, 899, 692, 19177, 6472, 24964, 593, 513, 4155, 609, 3586, 29702, 269, 634, 1286, 16765, 809, 519, 1085, 2393, 518, 693, 476, 1321, 522, 262, 22018, 267, 1287, 1558, 519, 11332, 693, 476, 1691, 269, 876, 543, 519, 27576, 693, 476, 1626, 269, 876, 269, 634, 27576, 1558, 519, 1085, 2393, 518, 693, 476, 1704, 269, 876, 1287, 621, 16765, 809, 519, 11332, 693, 476, 1240, 269, 876, 269, 2311, 1018, 942, 1705, 519, 11332, 543, 519, 1085, 2393, 518, 2743, 2496, 2467, 543, 7982, 692, 289, 6929, 7669, 338, 693, 7466, 519, 3432, 602, 513, 5757, 568, 13576, 267, 19654, 689, 835, 4779, 1819, 10935, 547, 1776, 543, 1394, 1586, 267, 2921, 476, 1321, 3764, 15587, 269, 1215, 1279, 1131, 621, 723, 3144, 1864, 538, 1869, 1216, 2496, 292, 2675, 531, 1807, 692, 4263, 4591, 9799, 11895, 6728, 972, 568, 513, 1360, 1279, 15583, 1807, 269, 5565, 1004, 616, 538, 513, 31657, 543, 865, 18214, 519, 15583, 1807, 607, 621, 568, 3001, 20733, 267, 3976, 4946, 741, 3432, 547, 602, 540, 519, 3001, 3268, 269, 3267, 1215, 1082, 3268, 616, 972, 593, 519, 15583, 1807, 2496, 297, 18804, 717, 8538, 2812, 692, 25111, 281, 476, 275, 7420, 5426, 1384, 22832, 689, 654, 2454, 28386, 1185, 519, 1655, 7778, 609, 1010, 2626, 692, 763, 575, 8538, 559, 26357, 693, 513, 2557, 540, 835, 7914, 1142, 2034, 267, 1101, 942, 267, 543, 1079, 829, 2034, 267, 519, 2034, 942, 267, 543, 952, 519, 2978, 2454, 3684, 27499, 512, 1231, 693, 513, 3586, 544, 1412, 329, 7927, 262, 829, 3813, 543, 952, 972, 616, 795, 1412, 329, 7927, 262, 3144, 1063, 519, 575, 8538, 559, 543, 519, 3684, 1927, 1287, 795, 568, 519, 2557, 2053, 519, 942, 3144, 23241, 329, 815, 476, 736, 263, 544, 1341, 476, 272, 25589, 663, 692, 329, 815, 476, 1626, 263, 544, 1341, 476, 273, 3738, 1547, 1547, 1547, 942, 568, 476, 1626, 7643, 1317, 519, 575, 8538, 559, 2306, 476, 3953, 26357, 693, 476, 273, 26357, 829, 2034, 692, 7712, 621, 781, 519, 1482, 795, 543, 544, 538, 1142, 3830, 594, 666, 4194, 873, 1412, 13678, 6714, 3585, 262, 547, 1265, 602, 544, 568, 476, 274, 543, 795, 568, 476, 3199, 692, 11997, 476, 3199, 26357, 267, 799, 1797, 476, 10037, 512, 1231, 952, 519, 3684, 568, 1175, 827, 547, 1491, 513, 17646, 950, 519, 575, 8538, 559, 6238, 610, 476, 3199, 512, 1231, 952, 621, 1175, 814, 3144, 835, 269, 0, 9943, 692, 2162, 2913, 781, 2845, 596, 538, 780, 528, 692, 10673, 1405, 723, 513, 5530, 306, 19281, 2272, 286, 8073, 835, 1934, 2439, 9943, 692, 528, 692, 1012, 2910, 292, 476, 4968, 272, 10432, 476, 1724, 692, 2421, 281, 661, 32642, 3502, 564, 6033, 692, 2412, 692, 271, 692, 1556, 692, 258, 2910, 292, 476, 4968, 272, 10432, 476, 1724, 8107, 476, 4968, 272, 594, 692, 292, 32642, 3502, 564, 6033, 454, 10481, 3073, 807, 15306, 692, 7476, 513, 1863, 12744, 540, 891, 11872, 267, 1175, 4283, 707, 4757, 2630, 780, 9943, 454, 4462, 6674, 2776, 1613, 692, 2171, 4137, 856, 875, 547, 1265, 594, 14729, 345, 543, 1413, 693, 15914, 519, 1535, 543, 586, 7852, 593, 513, 11237, 269, 1284, 1287, 2253, 3184, 476, 280, 630, 3698, 3005, 1040, 1284, 849, 960, 998, 1896, 1806, 563, 4596, 7838, 10345, 454, 5719, 845, 762, 645, 3672, 454, 24165, 293, 563, 7804, 269, 17394, 454, 31159, 14154, 454, 12218, 11872, 454, 5183, 294, 2464, 454, 1556, 454, 310, 3036, 9169, 454, 298, 2752, 7246, 454, 1839, 26042, 1012, 15019, 538, 7177, 543, 15306, 692, 1607, 476, 1556, 2985, 4147, 11872, 729, 23345, 676, 661, 32642, 3502, 564, 6033, 593, 14349, 5437, 476, 1691, 267, 476, 1001, 276, 269, 634, 4147, 11872, 12851, 547, 8107, 476, 4968, 272, 594, 693, 11908, 4659, 540, 5303, 6026, 676, 3220, 269, 17394, 538, 14400, 476, 1001, 276, 269, 4595, 922, 14202, 267, 621, 814, 4607, 476, 2412, 5784, 269, 1280, 2147, 2326, 1294, 1546, 845, 762, 645, 3672, 538, 7177, 543, 15306, 693, 11908, 4659, 540, 5303, 780, 9943, 692, 1012, 17352, 585, 2910, 292, 476, 4968, 272, 10432, 476, 1724, 692, 9943, 692, 9943, 692, 2162, 1548, 568, 918, 12609, 2496, 2971, 1411, 666, 4444, 610, 7118, 811, 918, 12609, 693, 20471, 543, 28099, 655, 621, 585, 1362, 4967, 267, 1353, 10274, 267, 15460, 267, 543, 811, 2439, 14630, 23095, 281, 476, 1556, 270, 1691, 270, 1428, 454, 4596, 292, 1109, 4968, 272, 281, 1109, 9288, 2559, 923, 1109, 1993, 1109, 5719, 845, 762, 1109, 289, 3672, 10432, 1109, 1724, 15733, 1109, 1993, 1109, 19327, 281, 2340, 507, 495, 594, 344, 345, 3980, 360, 345, 323, 288, 589, 594, 344, 345, 16673, 1109, 2041, 1109, 27168, 267, 1109, 17463, 267, 1109, 528, 1109, 14706, 269, 594, 344, 345, 271, 1109, 15290, 1109, 29589, 30692, 7611, 28812, 1109, 22131, 13240, 1109, 12671, 1109, 344, 1109, 610, 1109, 345, 1109, 9471, 594, 344, 345, 271, 594, 344, 267, 296, 345, 267, 296, 344, 345, 25104, 371, 15585, 566, 23155, 1109, 9471, 1109, 1492, 648, 332, 281, 586, 284, 344, 1341, 11276, 1412, 1990, 284, 345, 1341, 323, 345, 2340, 507, 495, 594, 344, 345, 3980, 360, 345, 323, 288, 589, 2340, 507, 495, 594, 815, 3980, 360, 586, 1341, 11276, 3738, 345, 1341, 323, 345, 546, 288, 586, 345, 589, 2340, 507, 495, 2340, 507, 495, 2340, 507, 495, 2340, 507, 495, 2485, 379, 586, 262, 1990, 9364, 288, 266, 11276, 1990, 262, 546, 288, 266, 323, 345, 586, 262, 546, 288, 266, 11276, 323, 345, 546, 288, 3980, 360, 3980, 360, 3980, 360, 3980, 360, 589, 589, 589, 589, 2340, 507, 495, 10085, 4501, 360, 1990, 546, 288, 284, 271, 589, 2340, 507, 495, 546, 345, 4501, 360, 586, 262, 546, 288, 284, 271, 589, 2910, 292, 1109, 4968, 272, 281, 1109, 9288, 2559, 923, 1109, 1993, 1109, 5719, 845, 762, 1109, 289, 3672, 10432, 1109, 1724, 594, 344, 345, 296, 1341, 344, 7251, 345, 288, 594, 344, 345, 271, 7352, 566, 1109, 1993, 1109, 344, 2073, 345, 296, 2073, 1109, 344, 345, 1109, 296, 5231, 1109, 5976, 1109, 1109, 15184, 281, 586, 815, 344, 6523, 15184, 266, 345, 7562, 15184, 476, 272, 1990, 815, 6629, 903, 514, 15184, 266, 345, 6523, 15184, 476, 272, 2340, 507, 495, 594, 815, 3980, 360, 546, 288, 1990, 272, 589, 476, 272, 2340, 507, 495, 476, 273, 594, 344, 272, 3980, 360, 546, 272, 589, 2340, 507, 495, 594, 344, 272, 476, 272, 4501, 360, 344, 1990, 272, 323, 272, 589, 2340, 507, 495, 2340, 507, 495, 476, 273, 594, 345, 284, 3980, 360, 546, 272, 284, 3980, 360, 630, 344, 6523, 15184, 266, 345, 7562, 15184, 546, 264, 476, 272, 589, 589, 2340, 507, 495, 2340, 507, 495, 2340, 507, 495, 476, 273, 476, 273, 476, 273, 476, 273, 2485, 379, 6523, 16564, 3980, 360, 586, 546, 288, 266, 7562, 16564, 3980, 360, 1990, 546, 288, 266, 273, 338, 1775, 15184, 522, 15184, 4501, 360, 344, 345, 323, 288, 589, 589, 589, 2340, 507, 495, 2340, 507, 495, 2340, 507, 495, 594, 815, 586, 546, 9590, 815, 1990, 546, 9590, 815, 586, 345, 323, 288, 1990, 3980, 360, 586, 3980, 360, 586, 345, 3980, 360, 589, 589, 589, 476, 273, 476, 273, 594, 345, 284, 6523, 16564, 296, 1341, 345, 514, 16564, 296, 1341, 273, 1910, 1775, 15184, 522, 15184, 296, 344, 345, 476, 272, 2340, 507, 495, 2340, 507, 495, 476, 273, 476, 273, 594, 344, 272, 3980, 360, 546, 272, 284, 3980, 360, 630, 6629, 903, 514, 15184, 266, 345, 6523, 15184, 546, 288, 264, 589, 589, 2340, 507, 495, 2340, 507, 495, 2340, 507, 495, 476, 273, 476, 273, 476, 273, 476, 273, 2485, 379, 7562, 16564, 4501, 360, 586, 546, 288, 266, 6523, 16564, 3980, 360, 1990, 546, 288, 6629, 273, 338, 1775, 15184, 524, 15184, 4501, 360, 344, 345, 323, 288, 589, 589, 589, 476, 273, 476, 273, 594, 344, 272, 7562, 16564, 296, 1341, 345, 657, 16564, 594, 6567, 273, 344, 1775, 15184, 522, 15184, 296, 344, 345, 2340, 507, 495, 2340, 507, 495, 594, 815, 586, 1990, 546, 288, 284, 630, 344, 6523, 15184, 266, 345, 7562, 15184, 7565, 6629, 903, 514, 15184, 266, 345, 6523, 15184, 264, 323, 288, 586, 272, 476, 272, 4501, 360, 476, 272, 476, 272, 3980, 360, 589, 589, 2910, 292, 1109, 4968, 272, 281, 1109, 9288, 2559, 923, 1109, 1993, 1109, 5719, 845, 762, 1109, 289, 3672, 10432, 1109, 1724, 2340, 507, 495, 2340, 507, 495, 2340, 507, 495, 2485, 379, 6629, 19561, 15184, 524, 15184, 586, 546, 288, 266, 338, 1775, 15184, 16564, 1990, 546, 288, 23444, 6523, 16564, 6629, 7562, 16564, 264, 586, 345, 323, 288, 3980, 360, 288, 3980, 360, 288, 3980, 360, 288, 476, 273, 476, 273, 594, 344, 272, 476, 272, 6629, 338, 14269, 15184, 521, 15184, 296, 345, 266, 328, 15184, 521, 15184, 296, 344, 23444, 6523, 16564, 6629, 7562, 16564, 264, 296, 586, 345, 5430, 16564, 284, 476, 272, 266, 6523, 273, 15184, 5609, 16564, 284, 476, 272, 6629, 6523, 273, 15184, 1775, 15184, 522, 15184, 284, 5609, 476, 273, 15184, 476, 273, 476, 273, 476, 273, 630, 296, 344, 266, 296, 1990, 264, 630, 296, 345, 6629, 296, 586, 264, 594, 345, 272, 476, 273, 1341, 476, 273, 5430, 273, 15184, 266, 296, 521, 12011, 345, 15184, 630, 296, 344, 266, 296, 1990, 264, 630, 296, 344, 6629, 296, 1990, 264, 594, 344, 272, 1341, 5430, 273, 15184, 6629, 296, 521, 12011, 345, 15184, 476, 273, 476, 273, 630, 296, 344, 6629, 296, 1990, 594, 344, 272, 476, 272, 5609, 476, 273, 15184, 266, 296, 586, 345, 338, 273, 15184, 476, 273, 20232, 1109, 9471, 281, 25104, 371, 16547, 525, 1109, 514, 1109, 6518, 1109, 296, 586, 272, 337, 1109, 296, 345, 272, 529, 1109, 10946, 3065, 546, 594, 586, 284, 271, 284, 6629, 594, 6567 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9556, 2544, 476, 272, 1107, 8865, 454, 27287, 15154, 267, 6478, 14409, 267, 543, 12551, 14752, 5811, 454, 291, 10735, 11676, 754, 718, 814, 1175, 1044, 21534, 607, 519, 19608, 15440, 693, 7577, 2473, 312, 313, 269, 1261, 5249, 585, 513, 2757, 3919, 585, 476, 1015, 1296, 607, 513, 8111, 6665, 528, 543, 729, 6035, 513, 2990, 693, 7577, 2473, 312, 313, 630, 320, 1007, 1376, 5346, 2754, 264, 602, 729, 5275, 606, 19608, 15440, 269, 634, 1376, 5346, 2754, 568, 2484, 689, 1373, 2757, 543, 814, 513, 2528, 540, 8112, 543, 22371, 269, 1306, 606, 1383, 267, 972, 568, 1100, 6101, 10571, 3009, 693, 519, 1376, 5346, 269, 2991, 519, 1101, 3923, 593, 519, 2816, 267, 646, 3533, 16137, 602, 519, 1376, 5346, 568, 1818, 1390, 3356, 543, 602, 3606, 5520, 786, 581, 21534, 269, 1261, 568, 4278, 2683, 827, 519, 3377, 269, 1403, 4376, 267, 621, 1797, 811, 2816, 3354, 585, 1864, 269, 1261, 814, 1044, 25461, 609, 17849, 513, 5274, 12754, 4937, 626, 585, 1010, 1507, 8257, 269, 1261, 9060, 519, 3501, 11134, 1765, 16039, 269, 18582, 5459, 267, 855, 1282, 519, 5967, 267, 646, 9060, 856, 602, 1352, 814, 513, 1507, 932, 8811, 340, 1695, 7699, 602, 1352, 1131, 899, 547, 3142, 547, 960, 1142, 1554, 269, 1879, 20402, 1946, 1282, 519, 5967, 267, 15516, 269, 18582, 5459, 5018, 519, 1739, 267, 968, 288, 1353, 538, 519, 4139, 4750, 540, 31071, 2657, 5004, 1336, 602, 2566, 17379, 936, 519, 1576, 540, 513, 1554, 538, 5520, 945, 4547, 741, 2915, 547, 960, 267, 1247, 621, 9782, 585, 2915, 5411, 945, 2451, 741, 4996, 1186, 693, 1753, 543, 585, 1875, 1673, 690, 5411, 1848, 18496, 729, 1869, 26617, 543, 4941, 547, 798, 930, 811, 1382, 593, 713, 4101, 1888, 563, 5475, 3257, 930, 1382, 267, 646, 7691, 602, 1082, 1804, 3906, 971, 607, 5616, 543, 8835, 723, 1185, 4620, 7888, 4507, 269, 5015, 267, 646, 729, 2111, 547, 1265, 519, 1739, 1344, 2228, 630, 3963, 1411, 9701, 20780, 2659, 13928, 1677, 4518, 27366, 689, 5291, 2517, 4178, 19544, 4428, 15838, 14006, 2593, 270, 1001, 274, 270, 6187, 270, 736, 7933, 9233, 3562, 22086, 3613, 816, 5332, 318, 31003, 6795, 278, 278, 11258, 264, 3823, 519, 2640, 540, 8744, 10130, 547, 960, 912, 5475, 2542, 519, 1382, 267, 18496, 568, 1312, 14281, 543, 18617, 602, 15516, 269, 18582, 5459, 1131, 581, 513, 1390, 16926, 543, 1131, 899, 547, 16926, 1200, 1256, 952, 1352, 814, 547, 3142, 1200, 932, 8811, 340, 1695, 7699, 547, 960, 1142, 1554, 269, 634, 1152, 1966, 568, 602, 646, 2115, 547, 1865, 519, 3510, 609, 519, 16628, 1354, 646, 666, 13166, 16926, 1200, 563, 5278, 1808, 4930, 593, 713, 1888, 547, 1205, 596, 3323, 912, 307, 745, 9116, 267, 681, 269, 630, 1001, 274, 1040, 2368, 8637, 1294, 1373, 4620, 7888, 607, 513, 7132, 269, 14825, 12067, 5240, 267, 476, 6434, 263, 4792, 280, 272, 264, 8158, 689, 4179, 2517, 14142, 3491, 26810, 10687, 4318, 345, 2889, 15383, 6745, 337, 1211, 12975, 270, 4777, 7498, 31690, 21492, 267, 590, 269, 630, 1001, 277, 1040, 623, 1115, 538, 519, 9036, 269, 5274, 12754, 5004, 4139, 6226, 652, 267, 476, 2190, 263, 275, 1070, 476, 1704, 268, 866, 269, 8158, 689, 4179, 2517, 14142, 3491, 26810, 10687, 4318, 345, 2889, 15383, 6745, 337, 1211, 12975, 270, 4777, 7498, 289, 1046, 518, 267, 681, 269, 570, 1421, 12928, 1047, 569, 267, 808, 269, 590, 1421, 31661, 518, 267, 590, 269, 645, 1421, 29154, 321, 267, 681, 269, 918, 1421, 1299, 5576, 340, 6975, 267, 595, 269, 631, 269, 630, 1001, 273, 1040, 2776, 14083, 7634, 540, 9441, 779, 2915, 4527, 593, 2566, 543, 10721, 11994, 269, 4139, 4750, 540, 31071, 2657, 5004, 267, 476, 276, 263, 272, 1070, 476, 1428, 268, 1789, 269, 5291, 2517, 11459, 269, 8742, 3820, 4318, 345, 2889, 15383, 6745, 337, 1211, 12975, 281, 14225, 279, 270, 1015, 269, 8099, 279, 7498, 5629, 596, 723, 8737, 2542, 827, 713, 1888, 543, 17265, 519, 4282, 2326, 267, 5225, 2328, 513, 476, 273, 22240, 1957, 630, 32355, 538, 1557, 3898, 610, 1627, 1299, 589, 3898, 264, 5466, 519, 1739, 2055, 912, 6826, 2386, 547, 1489, 707, 7440, 609, 8100, 547, 519, 4282, 13220, 543, 707, 1382, 269, 630, 2140, 2985, 14905, 3898, 994, 24591, 1306, 21188, 645, 4785, 476, 6200, 3525, 476, 272, 8865, 570, 454, 301, 289, 281, 1284, 798, 711, 1191, 961, 4574, 269, 16270, 19280, 267, 649, 798, 606, 3312, 1957, 14311, 585, 596, 563, 763, 2022, 1557, 476, 273, 3817, 476, 278, 7902, 1101, 593, 5440, 20031, 1512, 10749, 269, 0, 31413, 5794, 22994, 1006, 630, 308, 4456, 264, 568, 513, 1007, 1523, 6035, 585, 6061, 4683, 6283, 1062, 2042, 267, 7700, 547, 4227, 6808, 20316, 267, 11626, 5533, 543, 10688, 1472, 23195, 2127, 799, 568, 24482, 606, 7960, 18229, 2344, 269, 674, 5217, 519, 7960, 6384, 538, 519, 2011, 11898, 543, 593, 519, 2666, 267, 2919, 1007, 4066, 616, 2111, 547, 16641, 1996, 6861, 6283, 1102, 2858, 23461, 540, 519, 2462, 4872, 267, 1818, 621, 2556, 547, 1020, 772, 4456, 2533, 538, 519, 19251, 777, 565, 2478, 543, 6237, 6283, 5823, 269, 9122, 593, 1007, 4066, 543, 2413, 1870, 4485, 267, 7311, 519, 1985, 5108, 18229, 5989, 2306, 621, 5827, 540, 4259, 909, 513, 3209, 2011, 6808, 1369, 519, 4683, 1604, 269, 901, 2013, 1353, 6663, 547, 2263, 519, 4683, 2011, 3560, 5383, 267, 3226, 10073, 540, 772, 4456, 267, 799, 1522, 581, 606, 4244, 1985, 5108, 2011, 6283, 1062, 269, 28582, 2590, 547, 519, 6394, 10512, 1239, 543, 1374, 12644, 540, 519, 772, 4456, 267, 538, 713, 1957, 267, 649, 786, 2119, 547, 4766, 513, 3818, 1935, 4974, 3604, 1063, 2757, 18229, 6283, 543, 772, 4456, 5106, 269, 634, 1101, 1900, 540, 519, 1353, 5161, 540, 10747, 606, 2011, 11898, 8760, 585, 772, 4456, 5692, 543, 946, 540, 10858, 4170, 585, 2011, 12445, 3028, 7426, 543, 2034, 851, 540, 519, 1353, 6257, 7900, 772, 4456, 5989, 543, 1374, 540, 9825, 760, 2176, 2556, 585, 7299, 1491, 11325, 543, 13941, 630, 309, 307, 5357, 264, 6472, 269, 26346, 1374, 20487, 568, 711, 3769, 538, 713, 1353, 855, 3908, 4162, 616, 8612, 2687, 547, 519, 966, 307, 5357, 10672, 602, 616, 5833, 689, 519, 1449, 2164, 269, 1306, 2484, 607, 966, 307, 5357, 6472, 723, 711, 3323, 741, 5692, 2943, 267, 519, 772, 4456, 12427, 616, 693, 519, 3942, 540, 1646, 547, 1305, 909, 741, 2104, 5106, 269, 634, 4397, 7678, 2488, 1175, 16666, 10054, 540, 519, 13766, 540, 9591, 519, 1007, 6283, 15155, 2305, 1369, 519, 18229, 2872, 267, 2390, 13321, 4540, 1870, 2238, 543, 6042, 563, 20694, 641, 9567, 657, 267, 918, 1421, 21208, 565, 752, 529, 267, 715, 1421, 1299, 932, 787, 1087, 565, 712, 529, 267, 717, 269, 630, 1708, 271, 1040, 7913, 18618, 12454, 24892, 3684, 1565, 585, 519, 1646, 540, 5841, 4987, 3156, 538, 5663, 269, 4139, 4750, 540, 8950, 21091, 19007, 267, 476, 3451, 263, 276, 1070, 476, 275, 3066, 268, 275, 4375, 563, 289, 1301, 335, 1735, 752, 529, 267, 661, 269, 715, 1421, 966, 331, 1695, 690, 1014, 14269, 267, 661, 269, 594, 1421, 1299, 30110, 5362, 267, 808, 269, 595, 269, 630, 1001, 277, 1040, 1133, 2006, 2740, 17224, 658, 589, 7878, 7010, 585, 6283, 4702, 281, 7351, 2259, 543, 2104, 2591, 269, 4139, 4750, 540, 18815, 3163, 543, 5303, 267, 476, 276, 263, 274, 1070, 476, 9340, 268, 14338, 563, 289, 4768, 534, 990, 267, 589, 1421, 1299, 681, 752, 553, 267, 808, 1421, 630, 1708, 272, 1040, 27588, 2011, 11898, 585, 4683, 2011, 10688, 281, 589, 2689, 540, 2035, 543, 4485, 269, 18776, 538, 17224, 18209, 7070, 267, 476, 10219, 267, 476, 272, 268, 2767, 563, 289, 9618, 611, 342, 1690, 267, 590, 1421, 29336, 267, 590, 1421, 3026, 690, 328, 267, 715, 1421, 623, 3019, 1177, 8403, 267, 670, 1421, 932, 826, 8619, 267, 589, 269, 645, 1421, 1299, 5440, 30501, 267, 772, 269, 630, 1001, 280, 267, 2904, 1040, 29853, 2359, 585, 4683, 2011, 10688, 269, 769, 8331, 31131, 10613, 32600, 267, 22219, 267, 16422, 269, 476, 10170, 268, 9262, 563, 289, 1014, 267, 670, 1421, 18000, 267, 1627, 1421, 11809, 784, 267, 590, 1421, 1299, 18681, 267, 2473, 269, 630, 1708, 272, 1040, 10495, 540, 772, 4456, 543, 20473, 6846, 1764, 593, 519, 1604, 1759, 593, 5691, 19426, 269, 17224, 18209, 3163, 543, 5303, 267, 476, 14093, 267, 476, 272, 268, 277, 563, 289, 2784, 5112, 267, 590, 269, 630, 1708, 271, 1040, 12124, 5794, 22994, 1006, 630, 308, 4456, 264, 1523, 540, 4238, 642, 272, 269, 476, 271, 269, 12529, 518, 311, 267, 11785, 267, 476, 276, 563, 290, 5300, 2917, 267, 645, 1421, 630, 1708, 273, 1040, 12124, 5025, 597, 623, 2176, 547, 1711, 476, 1220, 552, 309, 307, 5357, 9825, 760, 2176, 585, 589, 4456, 3028, 269, 8158, 689, 4179, 2517, 323, 1258, 539, 329, 2593, 270, 1708, 273, 270, 4905, 270, 2918, 270, 18076, 25101, 268, 7964, 3562, 268, 22056, 268, 1220, 17272, 339, 565, 268, 3200, 760, 2176, 16519, 8584, 600, 28129, 13045, 293, 8150, 267, 630, 1708, 273, 1070, 8549, 28645, 10029, 269, 8158, 689, 4179, 2517, 4178, 8807, 12711, 10993, 270, 340, 553, 270, 611, 341, 2331, 318, 6016, 725, 270, 18076, 318, 1515, 8548, 984, 1006, 13045, 294, 5535, 267, 700, 269, 589, 1421, 20574, 808, 269, 717, 269, 1299, 8349, 710, 661, 269, 700, 269, 630, 1708, 272, 1040, 12124, 2011, 10688, 281, 589, 3102, 2689, 543, 13354, 2079, 609, 14628, 543, 3167, 2666, 6283, 585, 26655, 2104, 1382, 267, 18815, 3194, 3487, 595, 281, 24021, 16370, 267, 476, 15171, 267, 476, 272, 268, 4029, 563, 294, 3326, 333, 1157, 267, 966, 1421, 21208, 20199, 267, 631, 1421, 4210, 4660, 267, 631, 1421, 7137, 1782, 267, 808, 269, 1299, 667, 345, 1731, 639, 267, 715, 269, 630, 1708, 271, 1040, 589, 6396, 1108, 543, 1101, 2164, 547, 2708, 519, 1761, 540, 4683, 2011, 10688, 2035, 267, 17224, 18209, 2342, 10985, 267, 645, 867, 324, 14513, 267, 5333, 476, 1708, 271, 269, 8158, 689, 4179, 2517, 601, 756, 6155, 331, 337, 19709, 270, 9610, 275, 4817, 270, 272, 12458, 4488, 1708, 271, 268, 11740, 8566, 3326, 333, 1157, 15005, 454, 295, 14575, 267, 631, 1421, 630, 1708, 273, 1040, 11628, 5794, 22994, 1006, 281, 10369, 1353, 585, 6673, 3722, 269, 8158, 689, 8940, 269, 2651, 338, 5797, 576, 2593, 587, 374, 18080, 587, 374, 12304, 3146, 548, 1162, 454, 295, 1177, 9469, 267, 589, 269, 808, 1421, 630, 1708, 271, 1040, 5754, 1495, 2967, 786, 1118, 10760, 6517, 585, 772, 828, 779, 2011, 3454, 328, 3028, 269, 8158, 689, 4179, 2517, 4178, 31677, 591, 613, 2593, 270, 1708, 271, 270, 272, 270, 277, 270, 13975, 4366, 274, 10463, 270, 1506, 1495, 320, 604, 2391, 21307, 268, 21310, 25101, 2389, 1314, 328, 268, 806, 268, 1708, 271, 454, 298, 7315, 267, 631, 269, 589, 1421, 661, 4701, 267, 654, 1421, 5617, 12661, 753, 267, 570, 1421, 808, 753, 338, 839, 267, 667, 1421, 1299, 654, 1115, 267, 717, 269, 630, 1001, 278, 1040, 772, 16787, 2861, 6808, 2079, 281, 589, 8471, 13057, 5943, 1759, 593, 3332, 5619, 269, 18815, 1382, 3545, 807, 267, 476, 2420, 267, 476, 276, 6078, 268, 20862, 563, 298, 334, 385, 374, 331, 752, 267, 589, 1421, 1299, 654, 778, 267, 667, 269, 630, 1001, 279, 1040, 15486, 540, 6808, 20316, 538, 4683, 2127, 269, 8865, 540, 12996, 269, 769, 590, 9391, 5680, 540, 4762, 3720, 630, 14157, 269, 476, 6872, 267, 533, 269, 476, 18089, 866, 1040, 661, 7894, 7070, 269, 8158, 689, 4179, 2517, 4178, 11075, 338, 20813, 3720, 3820, 270, 14895, 270, 3333, 338, 20813, 9706, 4206, 270, 1001, 279, 270, 1240, 270, 3333, 338, 20813, 318, 8882, 15644, 1001, 279, 318, 18089, 866, 15005, 454, 31690, 267, 918, 269, 623, 1421, 1299, 12017, 267, 918, 269, 595, 269, 630, 1001, 272, 1040, 1323, 3608, 27967, 22051, 3328, 5690, 585, 519, 4108, 772, 16787, 8939, 896, 1895, 3375, 6194, 269, 11310, 15369, 7010, 267, 476, 2190, 263, 277, 1070, 476, 279, 6507, 268, 6434, 280, 563, 299, 1495, 6199, 267, 808, 1421, 6022, 1067, 3780, 267, 918, 269, 700, 1421, 1299, 8277, 325, 26856, 267, 645, 269, 630, 1001, 279, 267, 5181, 1040, 12124, 2011, 6808, 2359, 630, 7473, 300, 264, 6388, 538, 4872, 1606, 600, 9482, 2427, 13716, 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 ]
[ 693, 10199, 476, 5780, 3162, 888, 12901, 541, 8157, 17781, 267, 6252, 267, 610, 1899, 540, 20173, 1472, 519, 3047, 267, 693, 476, 5780, 4113, 1789, 12664, 590, 563, 1432, 20173, 568, 7507, 888, 1432, 20173, 568, 12924, 290, 888, 1432, 20173, 568, 14480, 539, 514, 888, 8489, 568, 519, 19778, 888, 299, 3539, 3592, 3492, 29182, 1472, 519, 3162, 24504, 267, 19778, 781, 2012, 1797, 968, 641, 22683, 547, 519, 11848, 1848, 898, 1131, 581, 9247, 9764, 4849, 585, 519, 856, 4148, 2130, 21303, 18686, 267, 799, 10301, 4724, 519, 7013, 9133, 540, 3162, 3013, 630, 16341, 476, 7785, 5195, 1496, 280, 3583, 5998, 316, 2476, 1070, 543, 585, 1079, 9030, 2377, 599, 906, 267, 519, 17664, 7256, 543, 454, 9989, 4896, 2661, 538, 19778, 888, 12901, 541, 18377, 568, 519, 1152, 11782, 609, 1100, 8628, 1480, 3110, 2787, 269, 1703, 616, 267, 2705, 267, 8628, 1480, 17260, 267, 1141, 3744, 543, 1489, 5234, 2661, 585, 851, 540, 519, 1032, 593, 513, 15914, 4493, 269, 634, 11782, 540, 19778, 2306, 909, 1034, 540, 519, 21303, 3148, 269, 0, 288, 571, 340, 14765, 630, 1220, 275, 264, 5342, 513, 1353, 547, 12290, 519, 1764, 540, 1875, 268, 698, 3472, 1116, 6917, 7694, 593, 6710, 543, 547, 8268, 538, 799, 1604, 3609, 7459, 538, 2069, 543, 9897, 666, 581, 811, 2500, 538, 4227, 6710, 998, 1875, 6683, 6917, 7694, 269, 1261, 1336, 602, 5663, 7694, 568, 811, 6710, 4227, 982, 2533, 538, 10859, 4683, 25772, 269, 1261, 6700, 602, 6710, 568, 2362, 538, 25772, 609, 2362, 4747, 8635, 543, 609, 2539, 2229, 18820, 543, 891, 1079, 2360, 616, 6793, 538, 10859, 268, 18076, 982, 538, 6917, 25772, 269, 1261, 849, 4767, 602, 7459, 538, 2069, 543, 9897, 616, 6710, 4227, 998, 5663, 7694, 538, 10859, 268, 18076, 25772, 543, 998, 2533, 7694, 538, 782, 25772, 563, 19913, 8705, 2763, 543, 2098, 11839, 630, 1220, 276, 264, 4330, 519, 4747, 2238, 540, 6917, 10820, 543, 8947, 519, 21876, 540, 1875, 1922, 1301, 29159, 676, 1210, 18578, 527, 2203, 269, 1261, 1336, 602, 6694, 2238, 616, 519, 1034, 1271, 2707, 540, 4747, 585, 6917, 10820, 538, 519, 25610, 540, 519, 22784, 6931, 706, 2817, 5244, 538, 12868, 799, 3565, 476, 6924, 260, 547, 2698, 7622, 4747, 609, 519, 6967, 476, 3953, 260, 23608, 689, 1875, 6694, 2238, 269, 1261, 849, 1336, 602, 519, 6710, 4994, 543, 519, 1569, 547, 6101, 2883, 2344, 1312, 723, 513, 2318, 1764, 593, 519, 2671, 540, 1875, 268, 698, 3472, 1116, 4747, 563, 313, 16852, 1696, 620, 269, 630, 1220, 276, 264, 4767, 519, 1909, 540, 1875, 1922, 1301, 4747, 538, 4227, 6917, 6710, 543, 8635, 538, 3624, 269, 1261, 1336, 602, 1510, 1875, 1922, 1301, 7694, 267, 6917, 6710, 1131, 581, 1454, 2362, 543, 4514, 543, 602, 4747, 8635, 1131, 581, 2362, 607, 1134, 269, 1261, 11943, 602, 7589, 538, 1875, 1922, 1301, 2238, 2488, 6917, 10820, 609, 606, 3606, 2707, 540, 4747, 267, 5355, 741, 2713, 4441, 543, 32560, 4747, 10616, 607, 1134, 563, 293, 16086, 19660, 1696, 620, 269, 630, 1001, 271, 264, 5342, 513, 1353, 547, 4983, 519, 3029, 543, 21876, 540, 17612, 29159, 1851, 6917, 3484, 3885, 538, 29142, 684, 1533, 267, 13280, 269, 634, 1353, 7000, 519, 2956, 540, 29159, 607, 621, 20039, 585, 476, 7597, 269, 272, 260, 540, 7622, 4747, 269, 4065, 267, 5600, 3835, 2450, 543, 4747, 941, 1713, 30661, 540, 29159, 269, 634, 1875, 1922, 1301, 2238, 4857, 538, 519, 1353, 723, 519, 1761, 585, 7393, 519, 12588, 540, 2043, 543, 10820, 547, 4020, 2318, 24454, 269, 634, 18454, 540, 891, 2238, 4096, 7361, 610, 14356, 593, 1967, 6913, 538, 6683, 799, 568, 513, 1713, 24572, 540, 29159, 563, 2026, 332, 1695, 630, 1001, 272, 264, 1336, 602, 1377, 540, 10304, 568, 2362, 585, 1346, 3484, 10820, 945, 960, 538, 1875, 1922, 1301, 5823, 982, 3484, 5823, 269, 634, 1875, 1922, 1301, 29159, 2238, 543, 7622, 10304, 616, 6140, 9141, 676, 7622, 7221, 543, 15885, 1519, 7622, 2085, 2497, 267, 2069, 1377, 543, 4008, 269, 14970, 16901, 29159, 568, 606, 1271, 1611, 540, 7393, 10304, 543, 19262, 3007, 563, 291, 14019, 543, 27173, 684, 833, 630, 1001, 273, 264, 4857, 519, 2010, 543, 21876, 540, 5506, 540, 7589, 538, 1875, 1922, 1301, 7694, 2127, 538, 519, 5580, 4639, 16323, 540, 19168, 269, 1261, 4767, 2947, 2516, 540, 715, 25539, 2026, 971, 607, 1349, 633, 267, 5663, 270, 30112, 267, 16268, 267, 5010, 543, 1463, 2533, 269, 15788, 267, 5010, 2533, 20441, 519, 1875, 1922, 1301, 2804, 2238, 630, 3953, 8472, 4553, 676, 16268, 2872, 630, 2641, 260, 5148, 5663, 630, 736, 15992, 1349, 633, 2872, 630, 1240, 8472, 609, 2123, 2533, 10916, 519, 2547, 630, 280, 22103, 634, 12880, 1875, 1922, 1301, 2804, 2238, 1336, 1331, 9467, 23315, 543, 4492, 3574, 2504, 267, 13680, 7694, 538, 2679, 543, 4070, 8486, 334, 630, 29985, 14420, 264, 28823, 267, 6149, 5599, 267, 1426, 642, 2056, 543, 10685, 6300, 5106, 269, 634, 2188, 971, 607, 3023, 267, 2085, 267, 29281, 4567, 267, 2069, 267, 25367, 2866, 267, 10362, 1145, 547, 513, 1895, 543, 4087, 849, 1336, 547, 581, 3648, 2404, 609, 519, 5506, 540, 7589, 538, 715, 25539, 2026, 563, 288, 6390, 1695, 565, 630, 1001, 275, 264, 8947, 519, 21876, 540, 29159, 1210, 8298, 527, 2203, 543, 849, 519, 1764, 540, 29159, 593, 7622, 10304, 676, 1210, 744, 11862, 9695, 2203, 538, 5484, 826, 1533, 269, 1261, 1336, 602, 5506, 540, 29159, 4679, 609, 5256, 32567, 7622, 267, 2069, 267, 5491, 543, 2344, 543, 11081, 609, 8105, 1995, 269, 1261, 849, 1336, 602, 29159, 267, 2085, 267, 2069, 543, 5491, 723, 513, 2318, 1198, 593, 7622, 10304, 1247, 7622, 2450, 814, 513, 2942, 1198, 563, 298, 1538, 320, 543, 700, 3814, 10098, 630, 1001, 275, 264, 11567, 519, 6708, 547, 799, 6917, 1875, 1922, 1301, 2238, 3565, 547, 10970, 11868, 6710, 538, 10283, 10820, 269, 1261, 849, 8947, 519, 2188, 7133, 519, 2773, 540, 6917, 1875, 1922, 1301, 2238, 543, 519, 6127, 998, 799, 6917, 1875, 1922, 1301, 543, 3484, 2238, 616, 954, 15062, 539, 269, 1261, 1336, 513, 1297, 540, 2188, 4299, 519, 2773, 540, 1875, 268, 3484, 2238, 267, 1519, 16283, 3854, 267, 3668, 540, 1870, 2069, 267, 4057, 1870, 22402, 267, 28537, 3560, 547, 543, 689, 6990, 267, 543, 2021, 779, 4008, 5107, 269, 1261, 4767, 602, 6917, 3484, 543, 1875, 1922, 1301, 2238, 616, 954, 15062, 539, 1317, 538, 1034, 10820, 3484, 2238, 3177, 519, 3854, 585, 4358, 543, 4881, 1875, 1922, 1301, 2238, 543, 1875, 1922, 1301, 2238, 3177, 519, 4747, 547, 6718, 3484, 11378, 269, 1261, 849, 1336, 602, 6917, 1875, 1922, 1301, 2238, 8329, 513, 1713, 2671, 540, 2698, 4747, 538, 10283, 10820, 543, 13087, 891, 10820, 547, 6718, 1426, 543, 7082, 5370, 267, 2628, 585, 4915, 543, 1072, 1416, 267, 2628, 585, 519, 2069, 540, 1453, 267, 607, 1134, 607, 1902, 538, 3484, 11378, 547, 3986, 519, 7607, 540, 6694, 2238, 971, 607, 7693, 8105, 543, 13184, 5329, 269, 1261, 11943, 602, 6917, 1875, 1922, 1301, 2238, 1404, 606, 1271, 1909, 538, 10970, 11868, 1312, 4747, 543, 1875, 13867, 6710, 563, 313, 518, 599, 1696, 620, 269, 630, 1001, 276, 264, 11567, 519, 7903, 543, 7485, 2188, 602, 3310, 519, 7589, 3375, 540, 6917, 10820, 538, 1875, 1922, 1301, 2238, 676, 1210, 5564, 30796, 8298, 2065, 22953, 543, 519, 4747, 5833, 689, 713, 5823, 676, 1210, 18578, 527, 2203, 269, 1261, 4767, 602, 1152, 476, 2641, 260, 540, 519, 2698, 7622, 4747, 729, 6508, 689, 1114, 1875, 1922, 1301, 2238, 609, 513, 7589, 2557, 540, 476, 5379, 10065, 1261, 1336, 602, 1732, 2069, 267, 2244, 8066, 267, 1569, 547, 12555, 543, 1297, 540, 2937, 2818, 9797, 6766, 519, 10171, 540, 9525, 538, 1875, 1922, 1301, 2238, 543, 849, 1569, 547, 5491, 267, 1732, 2244, 2450, 267, 13184, 543, 1297, 540, 4079, 538, 519, 7622, 3648, 543, 9797, 6766, 519, 2671, 540, 4747, 689, 681, 22143, 292, 269, 1261, 11943, 602, 519, 7622, 609, 1732, 2804, 2783, 616, 15504, 547, 519, 1875, 1922, 1301, 5823, 676, 519, 1732, 2132, 689, 519, 1875, 268, 698, 3472, 1116, 5823, 563, 306, 738, 3570, 1696, 620, 269, 630, 1001, 276, 264, 5342, 513, 1353, 547, 1459, 606, 12170, 2963, 540, 519, 1533, 540, 4747, 29159, 543, 922, 1764, 593, 7622, 779, 1134, 5630, 538, 519, 6917, 2127, 540, 14076, 3333, 1695, 328, 8664, 540, 16273, 269, 589, 1617, 626, 720, 4351, 10386, 4480, 568, 1031, 585, 10655, 519, 1239, 269, 1677, 2268, 519, 1377, 540, 4747, 29159, 3244, 12121, 12039, 540, 16844, 568, 7229, 543, 547, 2268, 519, 1377, 540, 1134, 5630, 267, 7622, 4616, 18820, 568, 1031, 269, 1261, 4767, 602, 519, 6708, 540, 4747, 29159, 568, 26483, 1970, 538, 519, 1353, 1858, 543, 621, 814, 2318, 543, 1713, 1198, 593, 7622, 779, 1134, 5630, 563, 6781, 323, 6160, 15401, 1696, 620, 269, 630, 1001, 276, 264, 8947, 519, 2188, 602, 3313, 1875, 1922, 1301, 23909, 1851, 6917, 8105, 10820, 543, 547, 1018, 17612, 2994, 814, 4824, 519, 1134, 5630, 540, 741, 10820, 269, 898, 814, 1044, 4767, 602, 519, 2188, 602, 3310, 519, 6917, 8105, 7622, 3375, 547, 7119, 538, 1875, 1922, 1301, 2238, 4951, 13581, 8390, 689, 1346, 12018, 1377, 540, 3375, 630, 331, 633, 16901, 2994, 264, 3144, 547, 4497, 538, 1875, 1922, 1301, 2238, 543, 1141, 621, 1281, 267, 711, 676, 519, 1482, 9588, 543, 4287, 269, 20028, 24964, 543, 14661, 7622, 2450, 729, 1336, 547, 3648, 3310, 519, 16027, 779, 3375, 543, 2069, 267, 6710, 4567, 543, 829, 32728, 7534, 4747, 1705, 3310, 519, 1377, 540, 7589, 3648, 563, 10817, 520, 600, 543, 18722, 630, 1001, 277, 264, 12290, 519, 1909, 540, 17612, 29159, 538, 7622, 1134, 5630, 538, 9966, 5055, 267, 513, 6552, 7823, 8664, 538, 4639, 18310, 269, 1261, 1336, 513, 7833, 4806, 540, 29159, 538, 2474, 540, 519, 1100, 269, 540, 2238, 17298, 585, 17612, 855, 513, 3810, 8795, 4110, 540, 25739, 1134, 5630, 2066, 10820, 269, 1261, 9916, 602, 1134, 5630, 729, 2404, 609, 7622, 779, 9525, 538, 1164, 2132, 9922, 799, 568, 8200, 593, 24970, 1027, 550, 1377, 540, 2200, 543, 7221, 269, 634, 4199, 3638, 10820, 4129, 1518, 883, 1164, 2132, 9922, 543, 15186, 2087, 741, 1134, 5630, 1247, 519, 4199, 4057, 10820, 267, 593, 519, 824, 1688, 267, 616, 7142, 547, 3136, 741, 1970, 2132, 29159, 269, 1261, 11943, 602, 17612, 29159, 723, 513, 3810, 7729, 14954, 1198, 3056, 547, 8635, 540, 4747, 543, 1134, 5630, 563, 298, 612, 548, 1696, 620, 269, 630, 1001, 278, 264, 11567, 519, 21876, 540, 29159, 1210, 8298, 527, 2203, 269, 1261, 1336, 602, 519, 12250, 2188, 971, 607, 17956, 2244, 267, 1318, 8226, 543, 18756, 15376, 723, 519, 2318, 1198, 593, 3484, 7622, 779, 3375, 547, 7119, 538, 1875, 268, 698, 3472, 1116, 2534, 1247, 2085, 267, 2069, 543, 3845, 547, 519, 9938, 1493, 2344, 723, 513, 2942, 1198, 563, 302, 326, 12584, 6559, 1696, 620, 269, 630, 1001, 278, 264, 9916, 519, 7418, 540, 1875, 1922, 1301, 2238, 538, 5466, 6917, 13864, 543, 5462, 2188, 12018, 1507, 23649, 9808, 1067, 779, 7589, 538, 1875, 1922, 1301, 2238, 538, 744, 526, 334, 7232, 770, 2199, 29583, 339, 269, 2127, 540, 744, 526, 334, 3557, 267, 13280, 676, 1210, 18578, 527, 2203, 269, 1261, 1336, 602, 2085, 267, 2069, 267, 13230, 12236, 1569, 547, 5491, 543, 3845, 941, 519, 1713, 4632, 12018, 7589, 538, 1875, 1922, 1301, 2238, 269, 1261, 11943, 602, 1875, 1922, 1301, 2238, 948, 547, 2569, 13864, 7110, 3484, 4747, 267, 1683, 513, 3106, 2121, 543, 13468, 6710, 1851, 10820, 563, 302, 323, 2129, 1696, 620, 269, 630, 1001, 278, 264, 5462, 519, 2360, 540, 8739, 20300, 4162, 540, 6917, 10820, 593, 1875, 1922, 1301, 4747, 29159, 543, 9916, 519, 2188, 602, 3310, 3484, 7622, 779, 7589, 538, 1114, 1875, 1922, 1301, 2238, 269, 1261, 4767, 602, 8739, 20300, 4162, 540, 519, 3484, 10820, 723, 1713, 1198, 593, 741, 1875, 1922, 1301, 4747, 269, 1261, 1336, 602, 476, 11025, 269, 276, 260, 540, 519, 3484, 10820, 4129, 1881, 741, 4747, 267, 476, 1704, 269, 276, 260, 9003, 8200, 593, 4747, 689, 8105, 2238, 269, 1261, 2188, 602, 6766, 6917, 3484, 7622, 779, 7589, 538, 1114, 1875, 1922, 1301, 2238, 941, 1336, 547, 581, 4057, 7024, 547, 6694, 2238, 267, 1507, 3484, 2450, 267, 1981, 543, 24604, 538, 6683, 267, 15376, 540, 1514 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3698, 5542, 5334, 677, 263, 12584, 9285, 8217, 2187, 825, 562, 815, 7003, 263, 12584, 9285, 8217, 994, 825, 585, 1775, 538, 2039, 3799, 2187, 1038, 10545, 815, 5667, 9285, 8217, 5157, 2639, 1038, 4994, 5334, 332, 718, 652, 815, 1775, 454, 1038, 585, 795, 538, 2039, 9217, 267, 562, 2187, 2018, 952, 5667, 9285, 8217, 14728, 316, 2999, 10545, 912, 3546, 10545, 815, 5667, 9285, 8217, 14728, 2639, 3546, 4994, 5334, 332, 718, 652, 815, 795, 454, 1038, 5667, 9285, 8217, 27709, 5334, 332, 718, 652, 3910, 5667, 9285, 8217, 5157, 316, 815, 5667, 9285, 8217, 5157, 3910, 5667, 9285, 8217, 27709, 5334, 332, 718, 652, 2639, 825, 2132, 5667, 9285, 8217, 7531, 331, 560, 815, 1496, 276, 267, 476, 275, 267, 476, 273, 267, 476, 277, 267, 476, 274, 267, 476, 279, 267, 476, 272, 267, 476, 278, 2639, 2745, 263, 572, 3005, 5334, 677, 10857, 560, 4917, 0, 258, 1104, 21723, 6503, 607, 23686, 454, 16482, 258, 32597, 815, 23686, 269, 6247, 656, 3488, 15916, 267, 32150, 23044, 256, 5073, 258, 5089, 815, 23686, 2529, 11970, 4590, 258, 1820, 4433, 612, 269, 14725, 263, 31435, 4917, 16482, 258, 513, 815, 23686, 269, 6247, 656, 263, 1015, 994, 258, 536, 815, 23686, 269, 6247, 656, 263, 3953, 994, 258, 1820, 4433, 612, 269, 14725, 5416, 1341, 536, 4917, 16482, 258, 5089, 25379, 30800, 258, 1104, 21723, 6503, 607, 23686, 454, 258, 1104, 21795, 607, 19073, 454, 16482, 258, 4183, 22674, 8435, 815, 20886, 9610, 267, 476, 272, 3910, 1496, 9873, 267, 476, 272, 3910, 1496, 5611, 267, 476, 271, 3910, 1496, 10204, 267, 476, 271, 27663, 258, 4183, 9078, 629, 1564, 815, 22373, 7343, 548, 2580, 834, 7343, 548, 2580, 834, 528, 1052, 2580, 834, 528, 1052, 31116, 16482, 258, 29976, 815, 23686, 269, 652, 574, 1807, 11482, 710, 541, 12218, 8595, 6600, 324, 1155, 22674, 8435, 994, 16482, 258, 29976, 6745, 1778, 9272, 6958, 333, 284, 10204, 994, 16482, 258, 12605, 815, 29976, 4877, 9438, 9272, 6958, 333, 284, 335, 9438, 17750, 6958, 333, 9239, 5814, 21795, 607, 19073, 454, 5814, 11885, 607, 5286, 692, 2745, 9638, 323, 14857, 11437, 1029, 2020, 258, 7151, 540, 3126, 630, 821, 6241, 1239, 994, 258, 19073, 2529, 7685, 8443, 262, 26596, 12770, 3299, 1412, 26596, 8277, 3299, 1412, 306, 659, 26963, 334, 262, 7481, 19399, 10310, 5992, 2971, 7462, 692, 258, 1948, 7151, 540, 4578, 20988, 454, 322, 640, 5332, 1868, 815, 19073, 2529, 7685, 8443, 262, 26596, 12770, 3299, 1412, 26596, 8277, 3299, 1412, 306, 659, 26963, 334, 262, 7481, 28134, 815, 19073, 2529, 7685, 8443, 5952, 273, 5379, 280, 267, 476, 6200, 276, 4281, 276, 267, 476, 4366, 276, 1960, 7481, 335, 323, 6185, 1092, 20988, 20719, 262, 30949, 2012, 9166, 2749, 5332, 1868, 267, 1412, 16954, 1637, 9166, 2551, 348, 2020, 19399, 19399, 1012, 692, 258, 1809, 1034, 540, 519, 942, 267, 596, 4452, 606, 3003, 3758, 883, 513, 4578, 20988, 269, 634, 1739, 1383, 13907, 513, 3758, 609, 4993, 454, 258, 8027, 1239, 269, 14840, 519, 1739, 1591, 547, 4452, 519, 1239, 543, 1711, 4183, 8847, 1384, 454, 5632, 4727, 20189, 17639, 12774, 18134, 815, 19073, 18667, 32269, 2891, 10059, 2517, 560, 4392, 269, 2998, 4355, 777, 529, 2593, 8276, 1194, 340, 1673, 21648, 1115, 270, 5632, 4727, 20189, 17639, 17601, 27406, 20350, 14030, 19930, 694, 335, 6889, 2437, 994, 5632, 4727, 20189, 17639, 12774, 18134, 6155, 525, 9216, 10797, 5632, 4727, 20189, 17639, 12774, 18134, 23584, 4590, 2745, 263, 5632, 4727, 20189, 17639, 12774, 18134, 23584, 31156, 5632, 4727, 20189, 17639, 12774, 18134, 269, 7290, 3488, 327, 17639, 318, 4364, 1014, 318, 720, 17210, 19399, 19399, 1012, 454, 258, 1411, 666, 1569, 4578, 20988, 1239, 1210, 5432, 5124, 9598, 270, 4289, 4238, 912, 322, 885, 815, 19073, 6185, 1092, 20988, 20719, 262, 30949, 2012, 9166, 2749, 5332, 1868, 267, 1412, 16954, 1637, 9166, 2551, 348, 994, 2745, 263, 6943, 6262, 885, 9131, 30949, 2012, 11172, 4917, 12534, 815, 4872, 9131, 30949, 2012, 262, 6540, 2745, 263, 6943, 6262, 885, 9131, 30949, 2012, 262, 6012, 272, 28413, 12534, 272, 815, 4872, 9131, 30949, 2012, 262, 6012, 272, 6540, 2745, 263, 6943, 6262, 885, 314, 271, 281, 273, 28413, 12534, 273, 815, 4872, 314, 271, 281, 273, 2639, 19399, 19399, 1012, 692, 258, 28294, 6819, 4578, 454, 12639, 28802, 9638, 641, 1637, 1315, 476, 1911, 271, 2020, 19399, 19399, 1012, 454, 258, 11644, 1948, 272, 692, 322, 640, 5332, 1868, 815, 19073, 2529, 7685, 8443, 262, 26596, 12770, 3299, 1412, 26596, 8277, 3299, 1412, 306, 659, 26963, 334, 262, 7481, 28134, 815, 19073, 2529, 7685, 8443, 5952, 273, 5379, 280, 267, 476, 6200, 276, 4281, 276, 267, 476, 4366, 276, 1960, 7481, 338, 5593, 12173, 815, 19073, 2529, 7685, 8443, 262, 26596, 12770, 3299, 1412, 26596, 8277, 3299, 1412, 306, 659, 26963, 334, 262, 7481, 19327, 815, 19073, 2529, 7685, 8443, 7871, 267, 476, 7367, 267, 476, 7906, 7481, 322, 885, 815, 19073, 6185, 1092, 20988, 18692, 825, 27835, 30949, 2012, 9166, 2749, 5332, 1868, 267, 1412, 16954, 1637, 9166, 2551, 267, 1412, 306, 5593, 8745, 9166, 23920, 12173, 267, 1412, 22704, 4009, 5195, 9166, 1858, 348, 2020, 322, 885, 9131, 3674, 2647, 543, 814, 23920, 2012, 11172, 815, 630, 322, 885, 9131, 22704, 4009, 5195, 11172, 3436, 476, 2004, 264, 1299, 4872, 9131, 30949, 2012, 262, 4940, 1952, 569, 18692, 825, 25754, 2012, 281, 2012, 269, 11034, 1873, 603, 3488, 26596, 29125, 2745, 6262, 885, 9131, 3674, 2647, 543, 814, 23920, 2012, 262, 7481, 2745, 6262, 885, 18622, 8161, 8443, 273, 267, 476, 271, 267, 476, 272, 28413, 0, 258, 476, 12530, 359, 11210, 373, 12530, 486, 417, 508, 489, 7430, 357, 11210, 379, 12530, 501, 12530, 360, 454, 258, 28859, 505, 484, 12571, 486, 417, 508, 489, 454, 258, 476, 20001, 508, 418, 505, 372, 417, 508, 489, 692, 338, 2297, 815, 2715, 257, 32002, 1276, 328, 9899, 476, 1220, 267, 834, 325, 14150, 10202, 9899, 476, 6110, 8679, 2745, 4433, 2297, 14277, 325, 14150, 10202, 257, 7481, 338, 2297, 14277, 325, 14150, 10202, 19312, 815, 476, 4335, 454, 338, 2297, 14277, 25346, 13318, 718, 19312, 815, 476, 8517, 454, 23437, 4433, 2297, 14277, 32002, 1276, 328, 257, 7481, 2745, 4433, 2297, 2020, 1721, 1883, 267, 1871, 538, 6455, 29096, 10031, 825, 1820, 2891, 346, 271, 348, 815, 2715, 272, 348, 2668, 8971, 31107, 267, 1871, 4917, 0, 5814, 2979, 454, 258, 9717, 519, 3597, 540, 513, 9352, 3529, 267, 3313, 952, 621, 568, 513, 4570, 9352, 3406, 3529, 630, 289, 4306, 6393, 258, 589, 4570, 645, 4306, 568, 3989, 607, 5205, 1384, 258, 672, 634, 2451, 5705, 872, 540, 513, 6843, 3568, 1152, 9136, 609, 10569, 1447, 982, 519, 6843, 781, 1883, 563, 258, 672, 634, 1318, 5705, 872, 540, 513, 6843, 3568, 1152, 9136, 609, 10569, 3152, 982, 519, 6843, 781, 1883, 563, 258, 672, 5637, 519, 2451, 543, 1318, 5705, 4181, 1590, 849, 581, 9352, 3406, 4054, 780, 258, 256, 1935, 281, 973, 9766, 557, 3178, 1101, 3406, 692, 258, 9502, 585, 513, 9352, 3529, 6843, 563, 5035, 30741, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1130, 284, 271, 267, 2451, 22561, 267, 1318, 22561, 2187, 1038, 1582, 22183, 815, 1130, 454, 1038, 1582, 16000, 815, 2451, 454, 1038, 1582, 16192, 815, 1318, 692, 258, 3096, 513, 25276, 25961, 1505, 454, 5035, 8827, 912, 825, 1219, 568, 11749, 573, 289, 4306, 4311, 267, 3597, 281, 30741, 264, 9847, 536, 944, 912, 13872, 1038, 1219, 25276, 13900, 704, 27316, 267, 3847, 267, 2431, 2187, 2018, 952, 711, 6843, 281, 1948, 952, 519, 16571, 542, 814, 5734, 606, 8900, 6843, 267, 610, 519, 1592, 568, 8900, 454, 3546, 2132, 6936, 454, 2018, 952, 711, 630, 27161, 22183, 2999, 1318, 543, 6843, 22183, 3436, 2451, 2567, 1948, 11974, 602, 519, 6843, 1871, 568, 1447, 982, 519, 1318, 1126, 543, 3152, 982, 519, 2451, 1126, 454, 3546, 2132, 8771, 454, 2018, 2132, 263, 516, 15479, 633, 13900, 704, 27316, 16000, 267, 2451, 267, 6843, 22183, 264, 1948, 16571, 525, 1524, 883, 519, 2451, 1034, 6843, 267, 11974, 2418, 593, 519, 1259, 909, 538, 1931, 454, 3546, 543, 25276, 13900, 704, 27316, 16192, 267, 6843, 22183, 267, 1318, 4917, 13872, 1038, 2132, 25276, 13900, 704, 20172, 267, 15615, 2891, 268, 8882, 19823, 10581, 2891, 8882, 257, 4297, 0, 18411, 28269, 281, 666, 2132, 513, 1592, 540, 22136, 610, 1449, 952, 513, 1297, 568, 6305, 563, 18257, 692, 1029, 10461, 1029, 815, 1412, 329, 599, 2727, 3960, 345, 28847, 3698, 22136, 3799, 2187, 825, 2132, 1496, 328, 585, 1775, 538, 2039, 263, 272, 19885, 264, 952, 568, 318, 18905, 9217, 264, 6540, 3698, 568, 318, 18905, 3799, 2187, 825, 952, 562, 2652, 476, 272, 912, 1038, 2132, 8771, 454, 825, 585, 1775, 538, 2039, 263, 273, 19885, 2187, 1038, 952, 562, 4939, 1775, 2652, 476, 271, 912, 2018, 2132, 8771, 454, 825, 3116, 912, 1038, 2132, 6936, 0, 5228, 28189, 6155, 21648, 1115, 1104, 4452, 5091, 580, 1080, 454, 5228, 28189, 6230, 617, 601, 26000, 3005, 1104, 5721, 15305, 5334, 5902, 454, 5228, 28189, 269, 15035, 31200, 1104, 8298, 2065, 8802, 1833, 454, 258, 5814, 21267, 28272, 607, 12301, 454, 5814, 11885, 607, 5286, 692, 21745, 1080, 815, 4452, 5091, 580, 1080, 10797, 258, 7179, 547, 1397, 972, 616, 476, 9692, 278, 2592, 630, 279, 676, 476, 279, 2592, 585, 513, 10155, 1275, 540, 476, 5038, 994, 2745, 2891, 15862, 4578, 23426, 257, 2073, 9704, 21606, 17482, 2020, 258, 7179, 547, 1397, 972, 616, 476, 9692, 278, 10297, 630, 15759, 619, 689, 476, 271, 1700, 280, 994, 2745, 2891, 299, 8475, 4578, 23426, 2580, 9704, 6745, 13759, 17482, 994, 16482, 258, 12301, 8807, 2682, 6600, 12127, 1125, 14352, 736, 267, 275, 4917, 258, 585, 4994, 267, 630, 13548, 267, 6003, 264, 538, 26246, 18750, 760, 5560, 580, 1080, 21606, 314, 271, 281, 276, 3910, 9704, 6745, 13759, 314, 271, 281, 276, 8079, 2187, 258, 476, 12301, 16553, 7120, 263, 272, 267, 476, 276, 267, 4994, 1341, 476, 272, 994, 258, 476, 12301, 269, 574, 19651, 18828, 269, 31412, 263, 13548, 267, 630, 279, 267, 279, 24270, 4699, 777, 284, 10823, 6983, 332, 3052, 2001, 994, 258, 476, 12301, 26644, 3488, 32086, 281, 4939, 328, 14826, 262, 4939, 6003, 267, 23935, 1125, 815, 476, 736, 2020, 343, 17601, 267, 1535, 15305, 267, 586, 17601, 267, 586, 15305, 815, 5721, 15305, 5334, 5902, 5560, 580, 1080, 21606, 267, 9704, 6745, 13759, 267, 1449, 15481, 284, 271, 269, 1839, 267, 4351, 26077, 284, 271, 2020, 258, 782, 6724, 711, 9138, 616, 1305, 547, 741, 9949, 338, 454, 8421, 2065, 8802, 337, 815, 8298, 2065, 8802, 1833, 10797, 8421, 2065, 8802, 337, 32265, 3287, 17601, 267, 586, 17601, 2020, 335, 9438, 687, 815, 26848, 8802, 337, 4877, 9438, 3287, 15305, 994, 258, 2422, 6060, 1505, 547, 1205, 6111, 540, 2203, 454, 16557, 815, 26848, 8802, 337, 269, 16557, 3287, 15305, 267, 586, 15305, 994, 2745, 263, 16557, 2020, 0, 454, 258, 8193, 281, 30016, 268, 279, 692, 258, 1948, 700, 3008, 303, 11555, 308, 20861, 4303, 476, 272, 27491, 454, 258, 3097, 258, 12361, 3503, 513, 2241, 1875, 17942, 5562, 7097, 454, 258, 3097, 258, 769, 513, 12363, 267, 1826, 519, 1739, 547, 1930, 513, 1257, 9375, 912, 258, 18889, 321, 1662, 454, 258, 9625, 259, 575, 539, 527, 1299, 454, 258, 476, 8199, 258, 3097, 258, 7392, 538, 513, 1982, 602, 454, 258, 2608, 16493, 856, 519, 2338, 689, 476, 1015, 547, 476, 1789, 454, 258, 476, 2608, 609, 513, 1900, 540, 476, 273, 2676, 258, 3097, 258, 1210, 513, 2387, 1721, 319, 8520, 543, 519, 2387, 9792, 319, 1599, 563, 258, 3097, 258, 16440, 519, 1982, 607, 834, 13678, 921, 318, 31467, 18258, 257, 883, 707, 834, 12709, 257, 15682, 563, 258, 3097, 258, 1496, 763, 12363, 1522, 1397, 930, 2387, 3022, 527, 319, 1644, 6959, 267, 11716, 873, 676, 10296, 2132, 543, 3478, 513, 1007, 3403, 5401, 24358, 258, 3097, 258, 3619, 1394, 547, 519, 12363, 267, 543, 14892, 707, 1982, 1210, 912, 258, 3097, 258, 18889, 321, 1662, 454, 258, 9625, 259, 9226, 2241, 318, 31467, 18258, 454, 258, 476, 7884, 258, 12361, 4518, 609, 808, 1575, 344, 614, 21641, 454, 258, 3097, 258, 19171, 575, 539, 527, 563, 258, 3097, 258, 32374, 513, 795, 1575, 344, 614, 21641, 609, 454, 258, 18889, 321, 1662, 454, 258, 9625, 259, 795, 1575, 344, 614, 21641 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 15680, 9222, 815, 10581, 9272, 3488, 14707, 924, 522, 27089, 798, 694, 340, 2892, 5451, 26369, 281, 681, 259, 10807, 10142, 604, 2892, 9222, 3436, 476, 10219, 271, 6769, 825, 2892, 9222, 2608, 284, 476, 272, 269, 272, 1477, 12828, 6769, 825, 2892, 9222, 2608, 284, 476, 272, 269, 1428, 5897, 2745, 3488, 302, 694, 340, 2892, 5451, 26369, 9087, 328, 513, 2163, 5964, 16948, 681, 259, 346, 15545, 273, 325, 348, 8339, 8971, 4433, 531, 9222, 17903, 0, 333, 4548, 815, 32582, 567, 1948, 5903, 320, 632, 562, 14243, 1067, 657, 6446, 1583, 14244, 1202, 518, 573, 657, 10652, 334, 721, 340, 9222, 1477, 550, 815, 476, 271, 672, 1948, 966, 7559, 767, 18559, 559, 3511, 16948, 513, 1303, 2784, 320, 632, 546, 15606, 5897, 2745, 3488, 5257, 14707, 924, 562, 14243, 1067, 657, 703, 324, 328, 4592, 267, 552, 513, 334, 3803, 1654, 10937, 513, 1474, 320, 632, 547, 323, 657, 552, 956, 23228, 290, 553, 334, 6446, 4275, 1612, 541, 2007, 924, 522, 562, 14243, 1067, 334, 476, 15886, 18257, 3418, 6112, 1303, 11203, 476, 15886, 6769, 825, 1303, 815, 703, 9272, 3488, 14707, 924, 19804, 562, 14243, 1067, 334, 281, 1412, 17903, 825, 952, 1303, 13843, 476, 15886, 6769, 1038, 1820, 3488, 303, 528, 3870, 2007, 924, 562, 14243, 1067, 657, 705, 320, 1460, 334, 632, 476, 15886, 9538, 3418, 825, 8640, 1303, 11203, 476, 15886, 6769, 1038, 15358, 6910, 263, 550, 10142, 338, 5448, 815, 2040, 25225, 3418, 2745, 3488, 302, 1267, 5964, 13005, 1474, 320, 13121, 562, 14243, 1067, 657, 6446, 4938, 17845, 1202, 518, 24926, 20527, 632, 15079, 269, 8339, 8971, 4433, 5448, 17903, 0, 2745, 3488, 14707, 924, 522, 26240, 334, 632, 476, 276, 533, 612, 334, 553, 552, 1654, 10937, 4018, 522, 12103, 1470, 552, 522, 2367, 528, 26240, 334, 256, 262, 10142, 6647, 657, 815, 32582, 5897, 1721, 1775, 538, 2039, 263, 271, 267, 476, 276, 8029, 825, 26240, 657, 6910, 263, 15615, 9272, 3488, 303, 525, 334, 13005, 15079, 382, 359, 533, 612, 10394, 281, 29717, 8971, 9217, 266, 272, 30727, 10142, 2742, 1640, 815, 3193, 263, 6647, 657, 3418, 5443, 528, 815, 1295, 263, 6647, 657, 10142, 2745, 3488, 5257, 1477, 30538, 1640, 281, 15079, 1477, 24464, 528, 281, 15079, 5257, 8339, 8971, 263, 2742, 1640, 267, 2367, 528, 17903, 0, 531, 684, 657, 815, 32582, 567, 1948, 5903, 320, 6446, 642, 2967, 6186, 1794, 523, 541, 15259, 562, 2345, 552, 711, 553, 13121, 620, 684, 657, 454, 9953, 815, 1412, 306, 262, 672, 1948, 966, 7559, 767, 6446, 1999, 2088, 694, 522, 721, 340, 5451, 26369, 642, 2967, 1202, 518, 597, 544, 9820, 620, 684, 657, 454, 322, 815, 476, 271, 1363, 1948, 2552, 11456, 16948, 535, 1794, 518, 522, 733, 14337, 798, 3331, 511, 526, 823, 14255, 30458, 632, 620, 684, 657, 692, 6112, 1904, 538, 1412, 306, 338, 12466, 825, 1948, 595, 686, 18372, 513, 30458, 6446, 2256, 828, 5451, 1217, 320, 9809, 383, 369, 525, 632, 476, 272, 620, 684, 334, 454, 825, 620, 684, 657, 6910, 8443, 20285, 825, 1948, 6184, 518, 785, 334, 562, 727, 798, 620, 684, 334, 454, 825, 620, 684, 657, 314, 322, 4940, 6572, 9272, 3488, 301, 727, 798, 620, 684, 334, 281, 1412, 4917, 825, 1247, 620, 684, 657, 314, 322, 6012, 271, 4940, 516, 2897, 3488, 22207, 1412, 10807, 2652, 1412, 12466, 1038, 1820, 28361, 30033, 314, 272, 282, 4029, 332, 303, 528, 3870, 267, 1202, 4275, 19804, 562, 727, 16948, 5294, 572, 7666, 597, 256, 315, 30033, 314, 271, 332, 5073, 1038, 620, 684, 657, 314, 322, 6012, 271, 316, 815, 3403, 3488, 301, 727, 798, 620, 684, 334, 281, 1412, 2020, 825, 1948, 595, 686, 18372, 513, 30458, 6446, 2256, 828, 5451, 607, 711, 553, 454, 825, 620, 684, 657, 314, 322, 4940, 6572, 8443, 20285, 825, 1948, 6184, 518, 785, 334, 3502, 320, 476, 272, 267, 552, 575, 5875, 785, 334, 6446, 1609, 324, 10937, 1303, 516, 476, 271, 552, 476, 1015, 454, 825, 620, 684, 657, 314, 322, 6012, 272, 4940, 6572, 263, 15615, 9272, 3488, 301, 7974, 476, 272, 281, 1412, 21875, 825, 1247, 620, 684, 657, 314, 322, 6012, 272, 6012, 271, 316, 2999, 476, 271, 610, 620, 684, 657, 314, 322, 6012, 272, 6012, 271, 316, 3436, 476, 1015, 912, 1038, 1820, 28361, 30033, 314, 272, 282, 4029, 332, 301, 7974, 1045, 5451, 331, 5866, 256, 590, 14244, 11863, 573, 553, 3284, 523, 553, 711, 553, 1303, 516, 476, 271, 552, 476, 1015, 26142, 30033, 314, 271, 332, 5073, 1038, 620, 684, 657, 314, 322, 6012, 272, 6012, 271, 316, 815, 10581, 9272, 3488, 301, 7974, 476, 272, 281, 1412, 11723, 825, 1948, 6184, 518, 785, 334, 3502, 320, 476, 273, 267, 552, 575, 5875, 785, 334, 6446, 1609, 324, 10937, 1303, 516, 476, 271, 552, 476, 1015, 454, 825, 620, 684, 657, 314, 322, 6012, 272, 4940, 6572, 263, 15615, 9272, 3488, 301, 7974, 476, 273, 281, 1412, 21875, 825, 1247, 620, 684, 657, 314, 322, 6012, 272, 6012, 272, 316, 2999, 476, 271, 610, 620, 684, 657, 314, 322, 6012, 272, 6012, 272, 316, 3436, 476, 1015, 912, 1038, 1820, 28361, 30033, 314, 272, 282, 4029, 332, 301, 7974, 1045, 5451, 331, 5866, 256, 590, 14244, 11863, 573, 553, 3284, 523, 553, 711, 553, 1303, 516, 476, 271, 552, 476, 1015, 26142, 30033, 314, 271, 332, 5073, 1038, 620, 684, 657, 314, 322, 6012, 272, 6012, 272, 316, 815, 10581, 9272, 3488, 301, 7974, 476, 273, 281, 1412, 11723, 825, 1948, 6726, 18372, 513, 544, 2946, 29953, 798, 620, 684, 334, 454, 825, 620, 684, 657, 314, 322, 6012, 272, 4940, 6572, 9230, 8999, 263, 531, 684, 657, 314, 322, 6012, 272, 316, 4297, 1315, 476, 273, 2020, 825, 1948, 7638, 881, 18372, 694, 522, 721, 340, 5451, 26369, 844, 518, 2585, 541, 1202, 518, 785, 334, 620, 684, 657, 552, 711, 553, 454, 825, 1904, 815, 3403, 3488, 5226, 518, 2585, 541, 286, 1496, 306, 21610, 13912, 30386, 825, 1247, 1904, 269, 21639, 3890, 711, 538, 1412, 17928, 262, 610, 7003, 263, 9953, 264, 11203, 476, 272, 912, 1038, 1820, 28361, 30033, 314, 272, 282, 4029, 332, 28926, 23843, 1045, 5451, 331, 5866, 256, 315, 30033, 314, 271, 332, 5073, 1038, 1904, 815, 3403, 3488, 5226, 518, 2585, 541, 286, 1496, 306, 21610, 13912, 1412, 2020, 825, 1948, 9214, 618, 18372, 522, 733, 11456, 454, 825, 524, 6834, 476, 272, 692, 258, 1401, 756, 785, 334, 579, 2742, 30458, 18410, 321, 2784, 320, 267, 635, 562, 2345, 552, 544, 2946, 29953, 13121, 620, 684, 657, 454, 2745, 3488, 15871, 262, 2608, 476, 1428, 2020, 2745, 6600, 262, 315, 30033, 314, 272, 282, 3451, 282, 278, 332, 2715, 257, 5591, 1701, 23901, 275, 348, 1923, 2715, 257, 301, 727, 9899, 283, 1428, 348, 1923, 2715, 257, 300, 2946, 29953, 9899, 285, 275, 348, 1422, 30033, 314, 271, 332, 5073, 1721, 1064, 267, 1775, 538, 26246, 263, 531, 684, 657, 2187, 825, 952, 1064, 4939, 476, 273, 11203, 476, 271, 912, 1038, 1820, 6600, 262, 315, 30033, 314, 272, 282, 4391, 282, 278, 332, 2715, 1842, 23901, 275, 348, 1923, 2715, 328, 314, 271, 6012, 281, 1428, 13912, 283, 1428, 348, 1923, 2715, 328, 314, 272, 6012, 273, 13912, 285, 276, 269, 273, 325, 348, 1422, 30033, 314, 271, 332, 5073, 825, 3116, 912, 1038, 1820, 6600, 262, 315, 30033, 314, 272, 282, 278, 332, 2715, 1842, 23901, 275, 348, 1923, 2715, 328, 314, 271, 6012, 281, 1428, 13912, 283, 1428, 348, 1923, 2715, 328, 314, 272, 6012, 273, 13912, 285, 276, 269, 273, 325, 348, 1422, 30033, 314, 271, 332, 17210, 2745, 3488, 15871, 262, 2608, 476, 1428, 2020, 258, 1401, 756, 785, 334, 607, 711, 553, 632, 19804, 620, 684, 334, 1965, 29347, 6403, 325, 4815, 267, 1965, 3712, 327, 18480, 10652, 334, 721, 340, 5451, 26369, 454, 9953, 815, 476, 271, 454, 6112, 1904, 11203, 476, 15886, 912, 825, 1904, 815, 703, 9272, 28361, 333, 7197, 32057, 711, 553, 632, 4018, 620, 684, 334, 286, 630, 15886, 281, 3955, 668, 704, 2567, 1412, 11723, 825, 1247, 476, 15886, 11203, 1904, 711, 538, 2039, 263, 271, 267, 7003, 263, 531, 684, 657, 15892, 1038, 1820, 28361, 30033, 314, 272, 282, 4029, 332, 301, 14244, 2291, 324, 19804, 620, 684, 334, 20017, 770, 2784, 334, 562, 525, 572, 3331, 511, 526, 823, 267, 17895, 324, 18051, 3512, 324, 256, 315, 30033, 314, 271, 332, 5073, 1038, 1904, 815, 703, 9272, 28361, 333, 7197, 32057, 711, 553, 632, 4018, 620, 684, 334, 286, 630, 15886, 281, 3955, 668, 704, 2567, 1412, 11723, 825, 952, 1904, 2652, 476, 15886, 912, 1038, 1820, 28361, 30033, 314, 272, 282, 3451, 332, 302, 1962, 580, 5964, 11188, 3351, 714, 541, 562, 657, 810, 521, 626, 9047, 267, 693, 2946, 513, 20446, 256, 5073, 1038, 2736, 454, 825, 3116, 912, 1038, 1820, 6600, 262, 315, 30033, 314, 272, 282, 3451, 282, 278, 332, 2715, 257, 5591, 1701, 23901, 275, 348, 1923, 2715, 257, 301, 727, 9899, 283, 1428, 348, 1923, 2715, 257, 301, 7974, 476, 272, 9899, 348, 1923, 2715, 257, 301, 7974, 476, 273, 9899, 348, 1422, 30033, 314, 271, 332, 5073, 1038, 1820, 6600, 262, 315, 30033, 314, 272, 282, 278, 332, 2715, 9953, 23901, 275, 348, 1923, 2715, 531, 684, 657, 314, 9953, 6012, 271, 13912, 283, 1428, 348, 1923, 2715, 531, 684, 657, 314, 9953, 6012, 272, 6012, 271, 13912, 285, 277, 269, 273, 325, 348, 1923, 2715, 531, 684, 657, 314, 9953, 6012, 272, 6012, 272, 13912, 285, 277, 269, 273, 325, 348, 1422, 30033, 314, 271, 332, 5073, 0, 23251, 4545, 807, 815, 703, 9272, 3488, 14707, 924, 513, 1253, 4545, 807, 13005, 642, 16489, 332, 900, 918, 300, 281, 1412, 264, 10142, 2745, 3488, 5257, 1477, 2026, 19274, 698, 839, 635, 693, 2946, 476, 1220, 298, 300, 632, 1253, 4545, 807, 267, 25865, 1090, 681, 259, 271, 269, 2004, 11188, 918, 300, 23228, 303, 4673, 19274, 698, 839, 544, 9820, 19388, 553, 6446, 476, 1220, 298, 300, 267, 1583, 14244, 25865, 2784, 657, 681, 259, 271, 269, 3393, 11188, 918, 300, 23228, 18257, 10142, 604, 1253, 4545, 807, 10922, 476, 1220, 6769, 825, 1820, 3488, 306, 754, 334, 15849, 267, 522, 27089, 13005, 647, 320, 642, 16489, 332, 1583, 5451, 522, 2698, 632, 681, 259, 346, 15545, 273, 325, 20467, 8339, 8971, 5560, 626, 4545, 807, 2608, 476, 271, 269, 276, 17903, 12828, 6769, 825, 1820, 3488, 306, 754, 334, 15849, 267, 522, 27089, 13005, 647, 320, 642, 16489, 332, 1583, 5451, 522, 2698, 632, 681, 259, 346, 15545, 273, 325, 20467, 8339, 8971, 5560, 626, 4545, 807, 2608, 476, 271, 269, 3393, 17903, 0, 258, 815, 268, 15871, 15871, 284, 476, 19739, 13993, 296, 5588, 4488, 3008, 476, 815, 268, 15871, 15871, 23751, 5228, 4351, 1104, 28219, 842, 454, 5228, 942, 1104, 3207, 7531, 258, 815, 268, 15871, 15871, 284, 674, 7419, 383, 485, 383, 499, 2464, 476, 815, 268, 15871, 15871, 23751, 258, 23037, 324, 807, 476, 276, 562, 14243, 1067, 657, 552, 897, 10087, 900, 579, 2742, 30458, 454, 3698, 4990, 324, 1470, 10857, 560, 2187, 825, 1820, 3488, 31374, 324, 18372, 15259, 1130, 2803, 13005, 30458, 281, 22207, 1439, 8782, 5073, 825, 585, 1775, 538, 2039, 263, 276, 2187, 1038, 32102, 6910, 263, 8681, 842, 263, 272, 267, 476, 1015, 4917, 1038, 1820, 10857, 560, 5157, 3910, 1439, 8782, 30386, 1038, 3207, 263, 269, 276, 994, 825, 1820, 3488, 293, 8379, 9538, 9239, 258, 590, 5448, 3284, 523, 553, 15259, 1130, 2803, 533, 4100, 13005, 30458, 4990, 1737, 320, 454, 3698, 1474, 320, 13640, 10857, 560, 2187, 825, 1474, 320, 815, 476, 271, 454, 825, 585, 1775, 538, 32102, 912, 1038, 952, 1775, 4939, 476, 273, 2652, 476, 271, 912, 2018, 1474, 320, 6834, 1775, 454, 825, 1820, 6600, 24202, 558, 18372, 15259, 1130, 2803, 533, 4100, 632, 2715, 331, 560, 9574, 1661, 657, 2715, 338, 5448, 348, 262, 9239, 258, 815, 268, 15871, 15871, 284, 476, 10790, 2562, 476, 815, 268, 15871, 15871, 23751, 333, 4548, 815, 11713, 338, 677, 324, 1470, 25225, 994, 338, 5448, 13640, 25225, 994, 0, 767, 665, 573, 1228, 815, 703, 9272, 3488, 304, 783, 9087, 328, 513, 27922, 573, 1228, 798, 1286, 549, 900, 918, 300, 26260, 281, 1412, 17903, 20123, 320, 815, 476, 278, 269, 876, 1477, 604, 27922, 573, 1228 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 956, 1369, 519, 13334, 781, 3381, 2507, 634, 15226, 568, 2016, 513, 4305, 538, 799, 789, 723, 547, 1867, 1394, 593, 1018, 741, 4555, 616, 3823, 519, 4305, 789, 616, 11264, 269, 1717, 267, 1719, 538, 3384, 590, 12435, 2429, 519, 3119, 1296, 540, 18375, 568, 3395, 269, 1261, 12909, 540, 4058, 1702, 11852, 267, 1558, 659, 4321, 5464, 267, 7939, 543, 8086, 269, 769, 741, 1101, 1032, 267, 1053, 666, 581, 5189, 547, 519, 10206, 540, 1582, 30625, 607, 513, 1883, 1489, 585, 741, 1646, 607, 513, 2875, 538, 6280, 543, 607, 513, 15400, 15226, 269, 634, 14628, 15226, 568, 711, 8078, 730, 547, 1246, 1022, 15415, 610, 1570, 269, 634, 8892, 540, 4065, 543, 10341, 269, 634, 32534, 3231, 1676, 7844, 585, 15043, 15783, 1547, 476, 274, 267, 476, 23211, 1700, 25784, 269, 4518, 593, 10319, 679, 11431, 1565, 543, 519, 10014, 540, 15226, 5639, 616, 849, 2188, 538, 713, 17565, 6521, 538, 3450, 269, 2871, 652, 8191, 269, 901, 3742, 1565, 4480, 568, 5156, 547, 723, 1044, 15748, 676, 8176, 5576, 23702, 345, 267, 513, 6323, 7548, 693, 519, 2160, 540, 4993, 538, 519, 2038, 476, 2735, 271, 338, 630, 17556, 611, 267, 476, 1220, 276, 1040, 1684, 596, 723, 513, 476, 273, 281, 272, 4110, 610, 2362, 286, 13198, 1111, 928, 1375, 518, 267, 631, 1421, 5576, 3426, 267, 645, 1421, 8709, 632, 5576, 2393, 267, 681, 1421, 25538, 1676, 267, 623, 1421, 5685, 3122, 342, 12245, 267, 631, 1421, 543, 1975, 1408, 267, 595, 269, 630, 1001, 273, 1040, 634, 1053, 666, 849, 2015, 875, 789, 21934, 1245, 590, 12435, 2259, 585, 519, 1453, 789, 4001, 269, 769, 713, 3296, 267, 4704, 786, 581, 1500, 547, 519, 5450, 659, 10744, 543, 8682, 7304, 1122, 4327, 4804, 30334, 7797, 630, 1001, 279, 264, 689, 519, 630, 19733, 7736, 578, 618, 7690, 267, 476, 1001, 279, 1040, 1548, 4485, 1131, 1489, 519, 2875, 3610, 262, 1646, 540, 1582, 15696, 4327, 1565, 2994, 286, 661, 706, 269, 10495, 585, 4804, 281, 4208, 267, 1548, 543, 1215, 286, 769, 713, 2376, 267, 1582, 15696, 4327, 1565, 814, 1044, 2919, 689, 1250, 25719, 1353, 3168, 693, 6267, 262, 590, 12435, 543, 741, 3610, 262, 1489, 267, 547, 2875, 3610, 262, 590, 12435, 543, 519, 2081, 602, 4116, 2069, 15961, 666, 1020, 811, 1582, 15696, 17419, 1983, 543, 2994, 585, 519, 2875, 3610, 547, 8415, 2933, 267, 607, 1134, 607, 1491, 883, 741, 2259, 538, 741, 1378, 13460, 538, 519, 2104, 269, 8222, 281, 476, 1015, 269, 6344, 278, 4882, 14631, 29483, 5952, 788, 7742, 272, 318, 276, 269, 476, 3607, 267, 476, 7176, 280, 1700, 1911, 271, 269, 1717, 267, 538, 20237, 540, 519, 8471, 10083, 540, 519, 17950, 3498, 540, 15226, 13190, 267, 9741, 630, 1960, 280, 281, 1758, 334, 264, 945, 3217, 593, 519, 2070, 602, 789, 616, 7184, 11251, 538, 1139, 657, 1431, 827, 519, 6530, 540, 1565, 799, 616, 711, 15520, 1808, 269, 589, 2763, 1386, 334, 630, 1220, 280, 264, 13187, 602, 1565, 18252, 3875, 1582, 15696, 17419, 3157, 269, 634, 10206, 540, 13190, 814, 1631, 1831, 851, 540, 6671, 1382, 543, 2688, 538, 5375, 7239, 543, 621, 4667, 547, 723, 2919, 883, 513, 24080, 7608, 1523, 607, 606, 3872, 2832, 267, 607, 11130, 676, 645, 21672, 543, 5292, 2401, 630, 1960, 278, 281, 335, 3913, 334, 264, 1547, 21290, 2500, 2994, 543, 519, 946, 540, 8763, 5583, 941, 849, 15091, 607, 851, 540, 606, 7175, 1565, 1604, 269, 634, 27795, 2488, 1646, 540, 1582, 15696, 4327, 1565, 3001, 689, 811, 12799, 21934, 1245, 539, 1565, 547, 606, 10446, 6383, 679, 11431, 3366, 676, 519, 6267, 269, 4256, 3803, 11812, 540, 713, 1770, 7722, 873, 538, 1818, 3688, 585, 513, 2344, 588, 718, 543, 1287, 9140, 873, 609, 519, 1362, 2724, 789, 1185, 12236, 998, 11264, 4928, 968, 329, 10849, 1848, 634, 1453, 6592, 741, 8852, 1210, 519, 1840, 543, 12408, 2994, 789, 1185, 19927, 269, 5369, 565, 269, 769, 1840, 267, 519, 2278, 13882, 602, 6267, 945, 10169, 3668, 13190, 10169, 1869, 723, 519, 2702, 547, 1628, 13190, 2016, 602, 789, 616, 5116, 538, 519, 2953, 5468, 543, 3177, 2407, 7041, 269, 28038, 811, 8763, 3450, 540, 1582, 15696, 17419, 2853, 267, 2994, 267, 543, 1983, 1131, 4324, 938, 2875, 3610, 538, 741, 1378, 1646, 1312, 607, 1582, 15696, 4327, 15400, 6267, 543, 607, 9439, 538, 3506, 1141, 590, 12435, 1983, 543, 2994, 1489, 741, 3450, 543, 1020, 14628, 267, 1582, 15696, 4327, 6267, 538, 741, 13460, 269, 769, 769, 519, 2013, 540, 14628, 1565, 267, 13190, 267, 2705, 267, 519, 3610, 616, 568, 2938, 547, 1491, 513, 1900, 1394, 543, 2636, 1053, 547, 1491, 5279, 538, 741, 1378, 1565, 2864, 982, 9117, 593, 519, 15128, 540, 519, 4116, 630, 289, 3716, 267, 476, 2735, 279, 281, 17989, 1100, 1040, 595, 5085, 14011, 595, 5085, 14011, 281, 3231, 1676, 4201, 16860, 269, 8222, 281, 476, 1015, 269, 16328, 279, 270, 1822, 3583, 280, 3445, 279, 311, 19054, 4375, 279, 267, 32253, 17593, 1923, 9061, 8269, 9509, 7956, 1923, 5616, 10104, 267, 590, 6308, 10458, 267, 570, 1421, 543, 661, 569, 267, 918, 269, 630, 1001, 271, 1040, 6258, 811, 538, 281, 10020, 540, 519, 4317, 20472, 22999, 7869, 267, 1656, 4048, 9609, 267, 543, 8950, 5336, 23672, 19019, 630, 290, 11085, 264, 538, 16989, 26613, 4804, 543, 9752, 2037, 4921, 281, 1215, 4841, 17992, 20553, 8682, 2560, 769, 519, 2104, 594, 2832, 547, 2417, 5000, 1053, 547, 960, 1927, 538, 9263, 1489, 2516, 547, 5351, 741, 1565, 543, 1646, 269, 901, 12125, 519, 3350, 540, 1565, 607, 711, 1373, 607, 7255, 609, 519, 1565, 540, 5013, 607, 1454, 827, 1565, 519, 1983, 2838, 547, 1451, 269, 476, 8064, 267, 476, 6872, 1700, 6924, 269, 8682, 30625, 568, 513, 5578, 602, 666, 581, 6026, 543, 19927, 998, 968, 2998, 531, 9859, 6278, 1848, 22996, 945, 616, 6026, 1582, 15696, 17419, 1983, 543, 945, 616, 9415, 547, 6218, 741, 960, 998, 8086, 543, 1305, 1565, 3853, 666, 1020, 1367, 2994, 602, 786, 6961, 547, 581, 3811, 538, 2417, 532, 741, 1565, 269, 32534, 8668, 3157, 616, 10694, 585, 741, 2702, 547, 4688, 2724, 543, 1711, 3152, 31931, 269, 7869, 4698, 269, 769, 1249, 267, 670, 15653, 519, 10872, 4625, 538, 519, 1439, 1310, 4947, 547, 519, 3932, 602, 519, 3197, 1031, 9059, 538, 513, 1259, 602, 27648, 513, 14407, 3765, 14025, 540, 1379, 269, 634, 4116, 781, 6612, 543, 10761, 585, 741, 1641, 666, 581, 11763, 2810, 519, 1453, 781, 8404, 547, 1451, 269, 476, 1015, 22436, 540, 32534, 30863, 269, 9521, 930, 3631, 267, 972, 568, 711, 513, 2631, 540, 1646, 998, 519, 6106, 267, 811, 513, 2631, 602, 513, 5963, 14628, 15226, 786, 723, 2919, 782, 1614, 2127, 269, 594, 4811, 21745, 652, 269, 4825, 1549, 543, 9906, 11773, 538, 14451, 4065, 269, 590, 6308, 10458, 543, 661, 569, 630, 1001, 271, 264, 6743, 693, 519, 1198, 540, 1582, 15696, 17419, 2243, 12987, 593, 1053, 936, 519, 1576, 540, 513, 10872, 269, 8222, 281, 476, 1015, 269, 1911, 278, 4882, 14625, 6021, 268, 25484, 268, 3445, 273, 280, 14870, 269, 1323, 2799, 2631, 540, 7214, 7279, 543, 513, 14000, 585, 1702, 602, 3884, 1406, 2141, 1336, 547, 2560, 8682, 15696, 4327, 6267, 1058, 581, 2111, 547, 2824, 543, 581, 8149, 547, 3853, 585, 741, 1565, 269, 3683, 519, 1576, 540, 513, 1906, 4374, 267, 519, 4116, 9727, 513, 1297, 540, 1114, 4063, 23824, 2409, 543, 519, 1453, 2259, 873, 269, 4475, 621, 949, 581, 6956, 602, 15226, 13190, 568, 1655, 6913, 950, 519, 4116, 6411, 607, 513, 4863, 1807, 269, 5369, 565, 269, 32534, 1565, 10593, 519, 1445, 689, 3450, 547, 1565, 269, 634, 10206, 540, 1565, 875, 547, 1451, 568, 1883, 538, 1582, 30625, 269, 15080, 267, 2160, 540, 20279, 1700, 291, 578, 660, 1144, 267, 2136, 2276, 269, 2290, 540, 519, 2640, 540, 1373, 606, 14628, 15226, 568, 519, 7115, 835, 814, 936, 7446, 950, 543, 875, 547, 1451, 513, 1978, 1893, 269, 634, 4116, 3631, 519, 1184, 540, 4063, 2921, 585, 1383, 1210, 513, 2247, 4786, 267, 1287, 519, 1453, 2259, 713, 3898, 269, 31232, 630, 1001, 279, 1040, 8682, 15696, 4327, 1565, 4249, 513, 851, 538, 519, 679, 11431, 1935, 607, 519, 6267, 616, 6026, 543, 6462, 998, 519, 1983, 2838, 267, 3001, 4724, 630, 289, 534, 14024, 543, 13852, 267, 476, 1220, 279, 264, 968, 785, 2570, 1836, 6383, 679, 11431, 1848, 14465, 14024, 543, 13852, 630, 1220, 279, 264, 2303, 513, 27795, 540, 679, 11431, 1565, 267, 799, 729, 3226, 26159, 2257, 2069, 267, 2705, 519, 2185, 5933, 540, 519, 27795, 616, 4143, 585, 824, 1641, 2127, 543, 3444, 268, 22793, 4798, 269, 4475, 267, 1373, 14628, 2687, 547, 519, 8847, 543, 11673, 2016, 568, 602, 519, 15226, 1590, 581, 2111, 547, 1831, 4830, 540, 519, 4116, 267, 602, 568, 267, 547, 513, 1978, 6708, 1502, 525, 519, 2702, 547, 2769, 835, 779, 1378, 4555, 543, 8369, 685, 799, 949, 4268, 610, 28586, 519, 4116, 269, 4400, 269, 1717, 267, 31473, 781, 2663, 1382, 630, 1960, 279, 264, 8947, 1762, 1453, 781, 1582, 15696, 17419, 2853, 950, 1603, 269, 630, 1960, 280, 1040, 968, 2005, 1031, 547, 1491, 2395, 267, 4374, 610, 1256, 3275, 1848, 1403, 519, 6531, 4547, 2560, 4746, 6267, 949, 711, 581, 2111, 547, 6488, 610, 1502, 525, 723, 519, 1863, 942, 547, 7390, 1893, 3506, 610, 32112, 865, 538, 1198, 789, 949, 723, 547, 3343, 8925, 538, 8236, 741, 3853, 269, 630, 289, 21672, 1299, 5292, 2401, 267, 476, 1960, 278, 281, 1911, 1040, 8222, 281, 476, 1015, 269, 1911, 278, 4882, 14625, 6021, 268, 27947, 268, 3445, 274, 276, 268, 278, 269, 901, 4661, 814, 3361, 4589, 971, 623, 10154, 322, 809, 630, 1960, 275, 281, 4510, 264, 547, 24633, 7855, 547, 1491, 513, 16795, 626, 1935, 281, 968, 1729, 5000, 2048, 3598, 1676, 13190, 685, 24080, 267, 1510, 1101, 4742, 8650, 569, 3222, 540, 519, 1514, 267, 2686, 543, 2797, 2796, 538, 799, 835, 568, 2324, 267, 949, 1291, 693, 1655, 547, 20025, 15338, 690, 625, 543, 693, 10782, 547, 2686, 791, 657, 1431, 6100, 634, 1909, 540, 519, 4116, 568, 711, 6654, 538, 713, 2203, 267, 855, 609, 519, 1445, 540, 519, 1382, 1373, 593, 3119, 2085, 1453, 267, 519, 4116, 781, 1909, 538, 14123, 543, 5885, 1582, 15696, 4327, 1565, 2259, 568, 14063, 269, 634, 4052, 5413, 610, 24117, 540, 15226, 13190, 14380, 689, 519, 13766, 547, 2709, 811, 4540, 1893, 3450, 3871, 1141, 2757, 4485, 949, 711, 581, 14018, 269, 1717, 2201, 519, 824, 1688, 267, 621, 713, 949, 581, 2352, 585, 3610, 547, 581, 2111, 547, 3035, 5631, 1317, 3610, 789, 2933, 3668, 519, 1702, 540, 1818, 713, 519, 5912, 540, 1373, 519, 1625, 3272, 528, 540, 1702, 547, 513, 9614, 540, 1565, 2200, 630, 9515, 518, 514, 267, 476, 1960, 278, 267, 11855, 538, 645, 21672, 1299, 5292, 2401, 267, 476, 1960, 278, 281, 8287, 1040, 630, 1960, 274, 1040, 476, 272, 269, 5696, 1074, 10290, 1696, 620, 269, 3245, 2241, 1557, 4566, 267, 998, 547, 2407, 4744, 31277, 267, 596, 666, 10018, 649, 723, 513, 3028, 9985, 20083, 547, 707, 2115, 269, 1280, 1383, 267, 26999, 630, 3192, 277, 267, 11855, 538, 15443, 344, 267, 476, 1960, 272, 281, 9083, 264, 5546, 519, 14628, 15226, 547, 581, 606, 1367, 281, 968, 3369, 846, 1272, 814, 513, 11007, 602, 24283, 689, 513, 17396, 1305, 540, 4978, 267, 2418, 543, 3741, 543, 945, 22851, 538, 513, 1869, 11173, 1184, 540, 9880, 543, 556, 3887, 1998, 6672, 1848, 267, 769, 519, 1482, 18916, 267, 649, 849, 1265, 602, 930, 3173, 723, 4857, 606, 14628, 15226, 547, 4865, 606, 5813, 883, 741, 1565, 2553, 543, 2994, 282, 789, 616, 1434, 693, 1818, 1179, 2827, 543, 723, 606, 1930, 2247, 543, 1935, 547, 519, 3077, 1893, 630, 25537, 12000, 1470, 267, 476, 3192, 279, 267, 11855, 538, 654, 754, 523, 267, 476, 1960, 279, 281, 476, 6078, 268, 5655, 1040, 654, 3430, 267, 670, 1421, 543, 2875, 19721, 1565, 585, 513, 15020, 1279, 942, 27268, 543, 6542, 2500, 1565, 2702, 623, 842, 5341, 1862, 10414, 3297, 519, 1646, 540, 1582, 30625, 540, 1565, 540, 1582, 30625, 540, 1565, 875, 1451, 269, 1809, 693, 519, 1620, 540, 15226, 13190, 568, 1655, 6913, 950, 519, 4116, 1412, 338, 6612, 543, 10761, 741, 1862, 3502, 1154, 5069, 28790, 267, 15726, 276, 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 ]
[ 1272, 267, 568, 2139, 585, 713, 2860, 1106, 267, 1352, 3081, 563, 763, 2601, 585, 713, 568, 602, 519, 1981, 540, 6089, 2860, 568, 17047, 609, 519, 21110, 2157, 538, 519, 1560, 267, 543, 1282, 519, 18492, 1974, 267, 21110, 2504, 4679, 563, 1700, 1280, 519, 1482, 2601, 267, 1981, 786, 2333, 952, 596, 723, 2760, 2016, 4332, 547, 513, 1126, 269, 769, 519, 5712, 596, 1205, 9176, 267, 596, 798, 711, 723, 18492, 5712, 543, 3976, 2539, 21110, 2504, 269, 4935, 267, 3478, 811, 1453, 786, 2569, 519, 1981, 267, 855, 540, 1576, 267, 621, 1281, 711, 1611, 602, 596, 1205, 6089, 2860, 952, 596, 798, 711, 1205, 1022, 1453, 267, 968, 9917, 3081, 10756, 25519, 1081, 609, 4568, 454, 763, 18472, 543, 950, 519, 18492, 1974, 2501, 267, 649, 666, 711, 798, 4376, 827, 621, 267, 855, 972, 616, 849, 1981, 2188, 602, 649, 666, 3310, 811, 563, 1700, 9861, 14968, 4679, 519, 1981, 267, 543, 849, 1934, 568, 519, 21110, 1377, 602, 568, 519, 2014, 269, 6480, 4088, 568, 3812, 538, 519, 3170, 5160, 269, 1403, 596, 616, 14968, 267, 596, 786, 4061, 2887, 883, 519, 1981, 1895, 585, 1312, 6089, 2860, 543, 14934, 31037, 1670, 2860, 267, 968, 9917, 3081, 10756, 2005, 568, 849, 5227, 547, 581, 9793, 609, 4568, 267, 607, 4568, 6981, 849, 4679, 519, 1981, 563, 1700, 1703, 568, 1100, 2922, 267, 2539, 3970, 585, 875, 1454, 4568, 596, 666, 4235, 269, 1280, 1142, 4837, 596, 4235, 267, 519, 1981, 540, 2860, 4679, 269, 1403, 596, 1616, 547, 4235, 4568, 267, 621, 568, 4061, 19624, 547, 723, 1970, 4616, 1312, 538, 2474, 540, 2860, 1981, 543, 585, 1434, 1072, 538, 2489, 267, 1352, 3081, 563, 1805, 3931, 15565, 1739, 519, 2489, 2732, 543, 6197, 5796, 563, 763, 1981, 540, 22420, 6089, 2860, 4679, 952, 1920, 2818, 616, 454, 268, 6468, 609, 6089, 2860, 896, 476, 2004, 1296, 454, 268, 5565, 2673, 14077, 609, 6089, 2860, 896, 476, 4649, 1296, 454, 268, 8422, 2673, 14077, 609, 6089, 2860, 7488, 540, 2085, 454, 268, 9093, 609, 6089, 2860, 454, 268, 589, 4807, 896, 476, 2568, 1296, 540, 2085, 609, 2860, 538, 1312, 28244, 630, 321, 10561, 6089, 2860, 994, 268, 589, 4807, 609, 6089, 2860, 543, 2673, 14077, 609, 25073, 2860, 454, 268, 589, 4807, 609, 6089, 2860, 543, 2673, 3448, 609, 17150, 2860, 896, 476, 4649, 1296, 454, 268, 589, 4807, 609, 25073, 2860, 267, 7488, 540, 2085, 454, 268, 589, 4807, 896, 476, 2568, 1296, 540, 17784, 2942, 6089, 2860, 267, 26759, 519, 10510, 1281, 711, 723, 13364, 585, 519, 10399, 21110, 543, 1322, 6856, 821, 543, 519, 10510, 15262, 670, 2207, 273, 563, 13126, 281, 9435, 5948, 454, 10376, 1032, 538, 5239, 267, 519, 23213, 9435, 5948, 2855, 5190, 519, 25968, 25906, 2548, 11059, 538, 5698, 609, 519, 9435, 5948, 563, 763, 2962, 729, 3323, 538, 519, 2136, 2276, 267, 1141, 2021, 538, 519, 2038, 476, 1960, 271, 338, 18796, 3152, 14828, 585, 6089, 2860, 1382, 563, 7712, 1287, 267, 519, 2962, 814, 3262, 547, 1896, 2477, 267, 543, 538, 16157, 621, 729, 6896, 585, 519, 1101, 942, 538, 476, 1960, 280, 563, 13126, 281, 23213, 9435, 5948, 454, 1700, 4189, 2635, 543, 9867, 543, 1373, 538, 2168, 2534, 11151, 1312, 2860, 543, 824, 3676, 269, 1879, 649, 849, 917, 602, 513, 2635, 6197, 11151, 14968, 267, 543, 602, 8377, 4679, 519, 1981, 540, 2860, 267, 4189, 2635, 543, 3001, 538, 513, 1259, 814, 513, 12242, 1198, 538, 713, 2796, 267, 1352, 3081, 563, 2005, 568, 5227, 547, 3251, 538, 9793, 2534, 585, 476, 2568, 3764, 610, 5397, 811, 588, 1066, 6681, 2534, 585, 693, 2547, 476, 1789, 3764, 1142, 1554, 563, 2467, 568, 4440, 849, 513, 9756, 1063, 3781, 960, 936, 1082, 1296, 543, 6089, 2860, 538, 2021, 563, 2252, 596, 1616, 547, 917, 952, 596, 616, 2139, 585, 6089, 2860, 998, 18472, 267, 621, 568, 2009, 547, 1491, 513, 556, 23150, 563, 1700, 9701, 621, 6961, 602, 596, 723, 519, 645, 13612, 272, 610, 645, 13612, 273, 5444, 596, 786, 581, 5702, 16913, 269, 634, 5413, 540, 713, 568, 602, 513, 2009, 2860, 5868, 666, 581, 1500, 3533, 543, 519, 4960, 540, 4742, 2860, 6954, 4679, 267, 3081, 853, 21417, 2590, 563, 1103, 824, 1913, 267, 782, 2021, 1063, 519, 6502, 540, 476, 2004, 543, 476, 7597, 616, 1572, 883, 7882, 2762, 563, 1700, 901, 568, 513, 1360, 1507, 1895, 267, 1317, 972, 616, 1082, 7820, 543, 4587, 2021, 945, 616, 6089, 2860, 269, 9435, 5948, 568, 4061, 2324, 547, 1205, 513, 3677, 1895, 883, 519, 7882, 2762, 1982, 267, 1352, 3081, 563, 7476, 547, 917, 519, 28244, 454, 2690, 607, 1279, 607, 596, 2461, 896, 476, 2004, 610, 936, 476, 7597, 267, 2901, 1205, 513, 4387, 779, 29748, 267, 799, 3587, 811, 7199, 982, 952, 596, 1205, 519, 5619, 998, 519, 7882, 2762, 1982, 267, 610, 979, 547, 1852, 27352, 543, 2628, 3054, 563, 3080, 540, 519, 1034, 1271, 1919, 596, 666, 798, 1354, 596, 3914, 519, 2085, 540, 476, 2004, 949, 581, 5432, 609, 707, 28244, 563, 3528, 6616, 543, 4974, 873, 593, 513, 2834, 4493, 267, 596, 786, 811, 3362, 1294, 2242, 563, 1700, 1684, 621, 827, 2899, 513, 3923, 1247, 596, 17643, 269, 898, 568, 4443, 547, 917, 5265, 609, 12853, 593, 707, 3946, 543, 952, 621, 3217, 1932, 1279, 1063, 1142, 942, 267, 621, 779, 2182, 547, 3314, 875, 621, 729, 2063, 269, 7490, 1376, 1354, 596, 3914, 476, 1789, 267, 3081, 853, 21417, 2590, 563, 6826, 3222, 602, 4439, 7410, 538, 519, 9221, 616, 711, 519, 1152, 1129, 602, 1945, 949, 581, 4636, 563, 9827, 9221, 9395, 1145, 610, 12012, 562, 31454, 616, 4191, 596, 1058, 1491, 12517, 269, 0, 332, 1787, 476, 6434, 3284, 563, 263, 874, 9369, 5491, 281, 12467, 2467, 781, 1100, 7805, 4276, 1063, 4965, 543, 21404, 269, 1809, 3173, 693, 519, 12355, 2160, 540, 13243, 723, 1336, 602, 4965, 666, 2014, 513, 2530, 540, 5642, 2527, 563, 5445, 2161, 741, 4681, 13822, 513, 1713, 1900, 4464, 538, 1620, 875, 519, 2247, 543, 519, 20258, 1062, 2170, 543, 723, 2907, 7152, 519, 12117, 540, 24196, 656, 5061, 538, 7303, 5642, 2527, 2530, 269, 634, 3173, 4681, 723, 1175, 1044, 3370, 538, 519, 519, 20380, 1977, 4760, 623, 2793, 306, 630, 3682, 17503, 540, 519, 2817, 9142, 540, 7070, 1916, 299, 1601, 540, 5642, 2527, 568, 519, 3056, 2014, 540, 21404, 543, 5642, 18655, 1851, 519, 9907, 538, 2489, 543, 1851, 2022, 2173, 523, 641, 30167, 2021, 538, 1880, 269, 11153, 2090, 5815, 602, 1004, 7092, 2101, 4965, 3622, 723, 2539, 982, 3328, 5642, 2527, 5860, 267, 855, 2394, 1631, 267, 1100, 1463, 3095, 1063, 891, 1079, 2175, 814, 1044, 3964, 563, 763, 1788, 729, 5342, 676, 3173, 689, 670, 308, 781, 2634, 543, 2623, 8047, 18188, 676, 4515, 269, 681, 1794, 962, 3305, 807, 282, 689, 519, 5642, 2978, 18188, 676, 4515, 269, 898, 2967, 9040, 282, 543, 689, 519, 2634, 8194, 2978, 18188, 676, 4515, 269, 6480, 615, 1744, 2129, 9564, 269, 4746, 10283, 941, 25719, 1053, 769, 4472, 717, 657, 1156, 267, 1325, 517, 645, 1690, 599, 334, 267, 570, 597, 5633, 918, 516, 529, 601, 267, 1744, 16336, 674, 15505, 2006, 543, 962, 846, 325, 23111, 563, 5445, 1031, 8983, 547, 1353, 519, 4276, 1063, 4965, 543, 5642, 2527, 2530, 269, 2991, 1802, 1424, 513, 4965, 3697, 2783, 538, 519, 23224, 267, 789, 2919, 8965, 2589, 8272, 337, 1681, 1346, 2938, 538, 20158, 3425, 267, 1519, 513, 5786, 538, 5418, 553, 9092, 2534, 543, 538, 1514, 5872, 269, 2991, 2185, 4374, 538, 513, 20158, 1533, 267, 519, 8983, 4951, 513, 10565, 5642, 2527, 2530, 267, 1519, 538, 519, 12048, 5642, 543, 31175, 563, 1607, 2530, 729, 3361, 676, 15717, 538, 519, 5642, 25430, 1184, 267, 799, 568, 1898, 547, 4509, 3339, 5642, 5860, 269, 634, 15717, 729, 3361, 676, 513, 5786, 538, 519, 1297, 540, 5642, 20671, 2281, 267, 799, 616, 1572, 11560, 29793, 6814, 563, 307, 3949, 4951, 602, 5312, 946, 540, 606, 24196, 656, 3075, 10300, 1540, 711, 1152, 519, 4965, 3294, 855, 849, 519, 2530, 540, 5642, 5860, 563, 763, 3173, 941, 849, 2111, 547, 4766, 519, 1184, 16046, 4965, 547, 519, 20258, 2497, 269, 1358, 1336, 602, 4965, 5036, 1055, 513, 8849, 1062, 8220, 519, 2634, 547, 519, 4835, 8219, 267, 1519, 519, 22403, 269, 901, 1062, 568, 1572, 519, 25091, 8401, 1062, 267, 543, 922, 11852, 3123, 519, 21131, 1369, 519, 5642, 540, 6862, 611, 1066, 13824, 267, 513, 3114, 602, 814, 513, 17672, 1198, 593, 519, 5642, 20671, 2281, 269, 634, 3173, 941, 2111, 547, 1397, 602, 5312, 2126, 609, 513, 3075, 602, 7161, 6862, 611, 1066, 13824, 538, 519, 5642, 849, 7161, 519, 17672, 3310, 540, 4965, 593, 519, 5642, 563, 763, 1382, 568, 4397, 547, 4196, 607, 519, 4493, 585, 1007, 267, 3608, 5061, 585, 2126, 540, 21404, 267, 799, 568, 519, 1034, 11342, 28115, 894, 2068, 538, 7262, 2486, 269, 634, 670, 308, 781, 2029, 4483, 2754, 267, 962, 1170, 636, 267, 814, 4294, 585, 513, 14664, 585, 2126, 540, 21404, 609, 31520, 563, 10454, 4276, 1063, 519, 2634, 543, 519, 22403, 538, 2489, 267, 543, 519, 3310, 540, 4965, 593, 5642, 2527, 538, 1880, 568, 513, 1007, 1858, 540, 1382, 827, 799, 649, 1869, 917, 1360, 2370, 2437, 1767, 962, 3305, 31843, 269, 834, 763, 1007, 4681, 267, 799, 649, 723, 4362, 538, 670, 308, 22475, 1448, 585, 519, 1101, 942, 547, 4965, 607, 606, 1271, 3693, 538, 4929, 5642, 2527, 2530, 543, 21404, 4799, 289, 629, 1767, 267, 834, 29310, 609, 824, 1382, 602, 649, 723, 3370, 538, 519, 2250, 1032, 267, 649, 723, 2919, 513, 1007, 1858, 540, 1382, 602, 649, 1289, 1412, 928, 1755, 10043, 11155, 268, 739, 324, 1108, 5889, 11366, 20795, 262, 799, 9388, 609, 519, 4276, 1063, 519, 2634, 267, 2790, 2829, 543, 519, 22403, 1701, 0, 763, 3670, 7341, 9706, 4301, 625, 21845, 941, 281, 26317, 540, 7981, 11660, 9314, 630, 7704, 10485, 5148, 21730, 989, 686, 10276, 1444, 14565, 630, 307, 597, 717, 1993, 531, 5148, 8381, 4133, 15613, 282, 29119, 817, 11059, 4643, 282, 595, 2255, 618, 2806, 560, 3555, 5004, 11150, 630, 290, 4456, 306, 5148, 543, 595, 2255, 618, 24627, 5004, 12697, 630, 20003, 6573, 1916, 5319, 1444, 10837, 3194, 29533, 4498, 28625, 2107, 337, 29499, 281, 968, 2171, 21845, 4507, 602, 4988, 513, 2647, 8552, 540, 2067, 4199, 4027, 2152, 910, 5466, 2470, 5726, 267, 1216, 4199, 2359, 267, 6360, 4027, 543, 2804, 543, 16351, 946, 540, 519, 24781, 269, 1284, 12290, 519, 1883, 3334, 540, 1142, 3609, 593, 13438, 547, 2916, 1689, 543, 952, 835, 610, 811, 5057, 1185, 513, 1164, 5506, 540, 5821, 267, 1287, 519, 2949, 3609, 729, 2808, 547, 581, 7925, 3034, 9515, 3773, 281, 834, 2171, 1336, 602, 930, 540, 938, 2067, 4199, 4507, 941, 2192, 25668, 5792, 547, 4308, 609, 519, 3138, 4040, 6937, 540, 2916, 1689, 267, 1247, 1866, 799, 1185, 8112, 3710, 883, 519, 4295, 2497, 941, 1134, 17479, 547, 3082, 547, 519, 2591, 2693, 547, 581, 4810, 538, 519, 4947, 1296, 4799, 15575, 787, 2515, 7027, 585, 454, 763, 1353, 8693, 19577, 532, 22798, 12754, 10466, 24727, 543, 11150, 538, 12986, 666, 581, 1336, 693, 5291, 2517, 4178, 269, 523, 1444, 268, 698, 1890, 10993, 16896, 9706, 3016, 725, 563, 265, 634, 5147, 3390, 540, 16819, 31296, 786, 1413, 538, 3178, 693, 2916, 1689, 543, 922, 2360, 593, 5017, 910, 4585, 713, 5816, 585, 811, 3877, 269, 0, 292, 13543, 25605, 267, 7720, 269, 2443, 898, 729, 1175, 1354, 476, 276, 513, 6230, 269, 543, 2185, 9691, 13155, 20384, 941, 512, 26786, 896, 513, 10160, 593, 513, 5010, 8184, 689, 853, 269, 8402, 547, 14151, 563, 763, 11204, 18896, 29067, 267, 835, 540, 519, 1034, 13155, 28849, 540, 519, 12457, 18896, 538, 519, 1158, 267, 2893, 533, 6150, 538, 513, 15298, 693, 519, 3952, 540, 513, 5726, 626, 563, 9515, 729, 593, 513, 5692, 2059, 609, 513, 2319, 540, 1866, 547, 3142, 519, 6263, 20384, 4535, 538, 24811, 693, 519, 29510, 16423, 4741, 538, 25876, 6390, 267, 827, 476, 1789, 5195, 22703, 540, 853, 269, 8402, 267, 547, 1079, 1114, 24502, 540, 3552, 20384, 538, 14151, 543, 1715, 6792, 602, 1522, 6318, 873, 2059, 609, 741, 1378, 563, 3719, 17444, 621, 1055, 1131, 581, 513, 2845, 6750, 9028, 563, 10527, 6801, 267, 519, 7599 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 20295, 609, 7700, 547, 9120, 960, 2773, 267, 2362, 7607, 267, 2799, 5834, 543, 513, 6175, 538, 15534, 2465, 1143, 563, 763, 2640, 540, 9891, 1744, 8172, 593, 938, 5113, 1107, 16440, 6052, 1299, 16440, 14559, 454, 763, 5177, 568, 1634, 607, 513, 2048, 515, 908, 685, 4182, 799, 1797, 649, 6108, 811, 547, 1832, 938, 5656, 3636, 982, 3579, 563, 10908, 5074, 568, 1634, 547, 581, 513, 4617, 3693, 538, 2679, 4070, 543, 1634, 585, 3002, 2530, 538, 5162, 543, 3002, 2744, 538, 4832, 269, 4635, 9420, 338, 543, 9505, 1562, 666, 948, 2569, 891, 12374, 543, 9271, 543, 1852, 1769, 2157, 563, 19931, 946, 540, 9420, 338, 543, 9505, 1562, 538, 519, 9036, 666, 2569, 1648, 4616, 267, 2569, 519, 991, 585, 5841, 8654, 543, 8754, 2569, 1648, 12014, 563, 4415, 2953, 3859, 27864, 267, 3549, 666, 946, 1447, 8022, 610, 2011, 14555, 267, 1818, 873, 513, 1942, 15807, 3070, 563, 763, 1744, 731, 267, 835, 540, 5507, 779, 1034, 11599, 5656, 267, 31758, 519, 1966, 540, 3859, 27864, 676, 1210, 5179, 2213, 16945, 9420, 338, 3710, 883, 519, 5007, 23508, 540, 519, 2679, 269, 634, 1744, 731, 31267, 476, 6434, 260, 3002, 18349, 563, 2252, 596, 1131, 899, 547, 1451, 811, 827, 875, 707, 2754, 666, 1655, 3351, 1047, 9420, 338, 543, 9505, 1562, 547, 948, 2087, 519, 2324, 2175, 585, 707, 5520, 267, 2333, 1134, 5630, 543, 7607, 267, 1927, 609, 9494, 2724, 267, 1287, 1289, 721, 593, 476, 28318, 6734, 476, 31172, 476, 5400, 276, 6494, 606, 4757, 267, 610, 3643, 513, 1397, 3336, 269, 0, 23742, 658, 7731, 10657, 568, 513, 2385, 1700, 18876, 1404, 3797, 585, 1453, 9907, 476, 273, 1700, 1321, 267, 543, 741, 3237, 267, 538, 799, 8036, 2790, 1072, 4648, 4001, 3237, 1983, 585, 5807, 3347, 609, 741, 1453, 543, 27459, 1047, 2385, 1700, 18876, 1404, 3797, 7886, 269, 634, 3844, 3853, 540, 519, 3797, 616, 547, 2569, 3929, 11605, 543, 1966, 5615, 538, 1453, 267, 2087, 16169, 543, 1582, 12635, 538, 1453, 267, 7794, 519, 2385, 1700, 18876, 2078, 267, 543, 2087, 15970, 1983, 563, 763, 3797, 2203, 729, 1101, 2919, 538, 519, 476, 3422, 271, 338, 267, 676, 24527, 2871, 518, 2284, 267, 12789, 1421, 543, 7200, 1047, 2871, 518, 2284, 267, 607, 606, 9542, 540, 4132, 31588, 1229, 7591, 10657, 269, 2060, 519, 1840, 540, 513, 2385, 1983, 13652, 1456, 5057, 267, 8606, 658, 7731, 10657, 11414, 3237, 547, 2932, 519, 7764, 1227, 20218, 1404, 7886, 609, 741, 1453, 543, 2488, 873, 609, 4797, 13309, 15569, 585, 17923, 2318, 15970, 5615, 563, 763, 3797, 7886, 616, 3335, 9447, 12353, 585, 476, 1015, 15654, 4374, 269, 634, 476, 273, 16923, 7886, 1331, 1312, 2385, 1983, 2866, 543, 2385, 1700, 18876, 1404, 269, 634, 3797, 3217, 1747, 538, 1507, 1895, 610, 1367, 1920, 7886, 267, 538, 799, 3237, 616, 6026, 1404, 3797, 3741, 547, 946, 609, 741, 1453, 269, 634, 15970, 1983, 616, 13736, 543, 18674, 609, 1909, 4730, 267, 17265, 6592, 1404, 7886, 267, 543, 824, 2409, 540, 6044, 269, 14268, 1287, 2308, 519, 9241, 9715, 1983, 1282, 12353, 2385, 1700, 18876, 1404, 7886, 267, 799, 616, 24892, 676, 16293, 945, 1683, 18006, 543, 15699, 1282, 1404, 942, 269, 0, 26123, 10255, 269, 594, 1031, 32766, 585, 519, 22836, 547, 4558, 519, 960, 269, 634, 2186, 596, 1205, 10464, 1282, 1394, 547, 1153, 6455, 563, 763, 3778, 623, 20449, 616, 513, 1390, 1259, 547, 1451, 1686, 269, 1284, 1031, 9147, 3778, 538, 519, 1806, 1657, 269, 1358, 1331, 6863, 267, 10571, 267, 543, 6189, 269, 3733, 1101, 543, 3791, 1178, 1457, 6068, 873, 269, 634, 4587, 3214, 10150, 11836, 538, 930, 540, 519, 2238, 538, 519, 9147, 5527, 3883, 563, 2791, 666, 849, 4444, 513, 21496, 20478, 547, 11819, 17572, 26213, 2593, 998, 519, 23467, 1041, 16179, 619, 3213, 19945, 269, 1411, 666, 1569, 782, 540, 5345, 534, 5336, 3233, 3450, 2835, 543, 2238, 782, 1032, 269, 1411, 666, 4647, 543, 5299, 1018, 596, 991, 607, 596, 991, 621, 269, 594, 723, 10150, 2348, 621, 713, 2063, 1032, 269, 0, 2467, 616, 1082, 2010, 540, 3282, 543, 2067, 3154, 1107, 543, 4516, 814, 873, 782, 563, 268, 7849, 3154, 568, 513, 6923, 9648, 8652, 21666, 9967, 5097, 540, 15655, 269, 898, 949, 849, 2270, 1507, 5666, 540, 2802, 2033, 267, 4412, 2033, 267, 855, 2033, 543, 20008, 6951, 563, 268, 1230, 14846, 2067, 3154, 568, 4443, 547, 3132, 982, 23349, 3154, 267, 799, 2882, 9395, 3154, 267, 5755, 5127, 15655, 267, 32549, 3154, 543, 3154, 3289, 6233, 630, 320, 2009, 2104, 2707, 1916, 268, 4107, 540, 519, 2208, 538, 3761, 689, 2221, 779, 9156, 762, 3154, 2200, 568, 1336, 538, 23349, 21272, 267, 1500, 3015, 676, 5499, 4066, 1519, 8880, 17656, 543, 17453, 5762, 1005, 563, 268, 9197, 8775, 3282, 568, 513, 3109, 267, 6960, 880, 610, 993, 828, 5277, 602, 568, 513, 1950, 3575, 540, 30691, 269, 898, 5161, 540, 3327, 267, 7250, 267, 20962, 584, 267, 9436, 267, 5135, 543, 8407, 563, 268, 1230, 14846, 19020, 3282, 8928, 5266, 3362, 998, 513, 1134, 610, 18180, 563, 268, 24581, 3282, 568, 513, 811, 10053, 267, 1471, 32654, 3282, 267, 609, 513, 1164, 8167, 540, 3787, 18210, 602, 568, 2352, 547, 1349, 609, 6671, 2553, 563, 268, 13813, 521, 1343, 616, 513, 5394, 7848, 540, 3787, 18210, 267, 1216, 267, 5070, 267, 5230, 8407, 543, 10036, 563, 268, 570, 697, 3282, 16290, 538, 21272, 540, 1970, 11188, 13920, 543, 27978, 630, 3697, 32549, 1070, 3340, 8880, 17656, 543, 14242, 971, 607, 17453, 5762, 1005, 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 ]
[ 1627, 285, 298, 1384, 259, 4596, 3709, 263, 326, 14587, 266, 273, 295, 3709, 273, 31046, 630, 326, 14587, 1422, 14075, 3847, 5535, 8863, 3709, 274, 348, 15121, 3709, 263, 326, 264, 10592, 7462, 1627, 4982, 1023, 5606, 6541, 692, 2691, 1109, 304, 284, 31236, 267, 519, 5114, 10593, 547, 519, 2451, 630, 3724, 2072, 1040, 901, 568, 513, 8390, 540, 950, 1627, 24257, 298, 780, 259, 4596, 3709, 263, 326, 14587, 266, 273, 295, 3709, 273, 31046, 630, 326, 14587, 1422, 14075, 3847, 5535, 8863, 3709, 274, 348, 15121, 3709, 263, 326, 264, 10592, 2162, 5457, 532, 519, 20556, 9737, 918, 543, 1627, 692, 2304, 2653, 1259, 547, 3314, 891, 3347, 568, 676, 3206, 540, 519, 3436, 610, 2999, 607, 519, 5023, 540, 606, 32613, 1807, 269, 634, 32613, 1807, 786, 834, 324, 520, 257, 538, 519, 4287, 602, 519, 5114, 10593, 553, 1279, 607, 1627, 568, 2854, 1354, 918, 780, 2971, 7435, 344, 15873, 4934, 23164, 519, 17716, 540, 1627, 543, 918, 692, 8855, 532, 891, 2241, 3347, 786, 1109, 4660, 596, 547, 6061, 585, 519, 11144, 540, 513, 5114, 269, 589, 5750, 24152, 873, 666, 581, 1336, 2630, 780, 2162, 21023, 532, 519, 29196, 540, 513, 31472, 9453, 6726, 725, 692, 27039, 593, 1018, 513, 1966, 12134, 540, 596, 267, 3006, 621, 568, 11991, 547, 1118, 1022, 9273, 693, 782, 269, 6875, 267, 585, 1383, 267, 519, 1631, 5432, 31181, 5114, 7396, 2630, 1384, 259, 4596, 3709, 263, 326, 14587, 266, 273, 295, 3709, 273, 31046, 630, 326, 14587, 1422, 2431, 548, 325, 628, 17369, 9398, 8863, 3709, 274, 348, 15121, 3709, 263, 326, 264, 10592, 1432, 798, 596, 1589, 786, 4755, 952, 811, 540, 519, 1587, 267, 8715, 12935, 630, 6224, 274, 15121, 1070, 568, 3773, 286, 4982, 10329, 786, 581, 22314, 267, 543, 519, 2333, 538, 2472, 1611, 602, 1627, 285, 298, 269, 1109, 769, 1931, 547, 556, 10140, 28344, 11466, 267, 519, 5114, 786, 3356, 547, 519, 2451, 267, 2509, 519, 2746, 1218, 269, 901, 1797, 930, 540, 519, 3773, 8715, 12935, 786, 2736, 1524, 883, 3327, 24785, 543, 7250, 3154, 780, 259, 4596, 3709, 263, 326, 14587, 266, 273, 295, 3709, 273, 31046, 630, 326, 14587, 1422, 14075, 3847, 5535, 8863, 3709, 274, 348, 15121, 3709, 263, 326, 264, 10592, 3086, 267, 1018, 952, 811, 540, 519, 2746, 1218, 267, 3327, 24785, 543, 7250, 3154, 267, 616, 513, 286, 1411, 1058, 8275, 602, 713, 1131, 13347, 519, 11466, 269, 1627, 283, 298, 267, 1317, 519, 1871, 585, 519, 2179, 540, 2746, 1218, 267, 610, 519, 14009, 540, 519, 1627, 4082, 267, 814, 1109, 27463, 1078, 269, 1677, 3715, 11466, 1586, 267, 519, 5114, 786, 3870, 519, 1587, 267, 865, 519, 5114, 786, 3356, 547, 519, 1318, 780, 259, 4596, 3709, 263, 326, 14587, 266, 273, 295, 3709, 273, 31046, 630, 326, 14587, 1422, 14075, 21375, 8863, 3709, 274, 348, 15121, 3709, 263, 326, 264, 10592, 763, 2093, 11609, 1657, 1397, 2274, 932, 5889, 339, 601, 1512, 781, 20232, 17929, 950, 606, 1226, 559, 2320, 730, 1062, 568, 16271, 547, 513, 1689, 538, 2837, 267, 2604, 267, 610, 5834, 540, 513, 2249, 538, 519, 5114, 267, 519, 1062, 20781, 676, 8236, 513, 1007, 11466, 602, 13148, 13726, 1115, 519, 1764, 540, 519, 1689, 269, 1109, 303, 9438, 532, 799, 1259, 513, 5114, 786, 979, 666, 581, 519, 15864, 3364, 602, 596, 786, 2479, 798, 538, 7998, 2439, 2162, 7151, 281, 32027, 898, 2353, 8625, 692, 2414, 5265, 946, 519, 2078, 1063, 1627, 543, 918, 267, 596, 1590, 917, 875, 547, 1305, 621, 909, 269, 6875, 267, 585, 1383, 267, 519, 5114, 2630, 1384, 2252, 596, 1376, 609, 476, 275, 269, 876, 300, 8863, 275, 267, 476, 273, 269, 876, 300, 595, 273, 295, 273, 267, 543, 476, 274, 269, 876, 300, 670, 273, 267, 799, 1109, 323, 3925, 786, 519, 5114, 3356, 547, 3914, 11466, 2496, 2162, 6657, 1109, 3682, 21793, 692, 272, 264, 6333, 713, 5114, 1384, 10915, 2397, 547, 3768, 18249, 2012, 1412, 4118, 262, 1401, 4003, 540, 1826, 1412, 21790, 307, 13224, 6185, 2131, 328, 2529, 5296, 10611, 29025, 6185, 2131, 328, 29441, 308, 526, 18249, 11243, 2750, 4003, 262, 729, 16207, 269, 630, 28781, 585, 3877, 2020, 2252, 1109, 298, 322, 284, 476, 271, 269, 26522, 273, 543, 1109, 1492, 3355, 9830, 616, 476, 272, 269, 271, 300, 12971, 27778, 267, 476, 271, 269, 273, 300, 12971, 267, 543, 476, 271, 269, 279, 300, 5696, 273, 267, 799, 1259, 786, 519, 5114, 3356, 547, 3914, 11466, 2496, 273, 264, 1548, 568, 1627, 543, 922, 3483, 2496, 274, 264, 6333, 519, 5114, 1109, 31742, 532, 1109, 514, 11466, 1384, 10915, 2397, 547, 3768, 18249, 2012, 1412, 4118, 262, 1401, 4003, 540, 1826, 1412, 21790, 307, 13224, 6185, 2131, 328, 2529, 5296, 10611, 29025, 6185, 2131, 328, 29441, 308, 526, 18249, 11243, 2750, 4003, 262, 729, 16207, 269, 630, 28781, 585, 3877, 2020, 2252, 811, 715, 273, 302, 275, 568, 3773, 267, 799, 1259, 786, 519, 5114, 8399, 2496, 275, 264, 6333, 519, 1739, 5114, 1384, 10915, 2397, 547, 3768, 18249, 2012, 1412, 4118, 262, 1401, 4003, 540, 1826, 1412, 21790, 307, 13224, 6185, 2131, 328, 2529, 5296, 10611, 29025, 6185, 2131, 328, 29441, 308, 526, 18249, 11243, 2750, 4003, 262, 729, 16207, 269, 630, 28781, 585, 3877, 2020, 4415, 513, 918, 322, 540, 476, 272, 269, 273, 1535, 476, 9818, 693, 476, 5780, 279, 298, 267, 568, 519, 5114, 538, 11466, 950, 972, 1109, 732, 476, 276, 269, 876, 12387, 2910, 14116, 1070, 476, 273, 269, 876, 12387, 1849, 273, 14116, 1070, 543, 476, 277, 269, 876, 12387, 540, 2910, 5141, 273, 14116, 264, 538, 513, 476, 274, 269, 876, 299, 1166, 2532, 286, 1403, 711, 267, 799, 1109, 323, 3925, 786, 519, 5114, 3356, 547, 3914, 11466, 2496, 276, 264, 6333, 519, 1739, 5114, 1384, 10915, 2397, 547, 3768, 18249, 2012, 1412, 4118, 262, 1401, 4003, 540, 1826, 1412, 21790, 307, 13224, 6185, 2131, 328, 2529, 5296, 10611, 29025, 6185, 2131, 328, 29441, 308, 526, 18249, 11243, 2750, 4003, 262, 729, 16207, 269, 630, 28781, 585, 3877, 2020, 2252, 918, 322, 284, 2004, 269, 273, 693, 476, 278, 1240, 298, 543, 1109, 1492, 3355, 9830, 616, 476, 271, 269, 276, 300, 670, 273, 267, 476, 271, 269, 1428, 300, 594, 273, 267, 543, 476, 271, 269, 4962, 300, 31254, 267, 799, 1259, 786, 519, 5114, 3356, 2496, 277, 264, 6333, 519, 1739, 5114, 1384, 10915, 2397, 547, 3768, 18249, 2012, 1412, 4118, 262, 1401, 4003, 540, 1826, 1412, 21790, 307, 13224, 6185, 2131, 328, 2529, 5296, 10611, 29025, 6185, 2131, 328, 29441, 308, 526, 18249, 11243, 2750, 4003, 262, 729, 16207, 269, 630, 28781, 585, 3877, 2020, 2252, 918, 322, 284, 476, 273, 269, 876, 693, 476, 5325, 274, 298, 543, 519, 3355, 9830, 616, 476, 273, 269, 271, 300, 2910, 273, 267, 476, 275, 269, 271, 300, 18435, 275, 267, 543, 476, 271, 269, 276, 300, 2910, 293, 273, 267, 799, 1259, 786, 519, 5114, 3356, 2496, 278, 264, 6333, 519, 1739, 5114, 1384, 10915, 2397, 547, 3768, 18249, 2012, 1412, 4118, 262, 1401, 4003, 540, 1826, 1412, 21790, 307, 13224, 6185, 2131, 328, 2529, 5296, 10611, 29025, 6185, 2131, 328, 29441, 308, 526, 18249, 11243, 2750, 4003, 262, 729, 16207, 269, 630, 28781, 585, 3877, 2020, 298, 322, 284, 1911, 269, 2060, 519, 3355, 13999, 540, 476, 736, 326, 14298, 273, 267, 476, 1724, 326, 744, 273, 267, 543, 476, 1839, 326, 14298, 274, 538, 513, 476, 276, 269, 271, 299, 8708, 267, 799, 1259, 786, 519, 5114, 3356, 780, 2162, 6657, 10819, 281, 10298, 692, 272, 264, 634, 6547, 10593, 547, 519, 2451, 267, 2509, 519, 2746, 1218, 780, 301, 15477, 337, 284, 476, 272, 300, 267, 12971, 284, 476, 271, 269, 273, 300, 267, 5696, 273, 284, 476, 271, 269, 279, 300, 692, 304, 322, 284, 692, 10915, 2397, 547, 3768, 18249, 2012, 1412, 4118, 262, 1401, 4003, 540, 1826, 1412, 21790, 307, 13224, 6185, 2131, 328, 2529, 5296, 10611, 29025, 6185, 2131, 328, 29441, 308, 526, 18249, 11243, 2750, 4003, 262, 729, 16207, 269, 630, 28781, 585, 3877, 2020, 304, 322, 284, 476, 271, 269, 271, 3953, 692, 11997, 267, 1627, 322, 285, 918, 322, 543, 519, 6547, 10593, 2509, 519, 2746, 1218, 780, 273, 264, 1627, 568, 513, 5114, 23479, 267, 799, 2337, 3313, 952, 513, 5114, 786, 6521, 4464, 610, 23651, 269, 1306, 513, 1062, 4485, 2509, 11466, 267, 1627, 1109, 4485, 2509, 918, 780, 274, 264, 634, 5114, 786, 8399, 547, 519, 1318, 780, 275, 264, 3143, 267, 621, 568, 711, 693, 11466, 269, 4595, 1627, 283, 298, 267, 519, 5114, 786, 6521, 547, 519, 1318, 547, 3914, 11466, 780, 276, 264, 1627, 815, 476, 271, 269, 30033, 267, 865, 1627, 283, 298, 269, 634, 5114, 786, 6521, 547, 519, 1318, 780, 277, 264, 1627, 815, 476, 3953, 269, 271, 267, 865, 1627, 285, 298, 269, 634, 5114, 786, 6521, 547, 519, 2451, 780, 278, 264, 1627, 815, 476, 1321, 267, 865, 1627, 283, 298, 269, 634, 5114, 786, 6521, 547, 519, 1318, 780, 2162, 22108, 692, 272, 269, 19499, 1399, 267, 681, 1421, 589, 269, 12397, 880, 5174, 578, 6577, 267, 1696, 620, 269, 630, 1960, 275, 1040, 834, 27775, 754, 725, 585, 562, 32393, 1155, 543, 7515, 538, 23020, 32721, 1701, 26192, 10331, 269, 6314, 476, 5780, 281, 476, 13932, 272, 1700, 14917, 277, 563, 273, 269, 7108, 267, 808, 269, 543, 966, 269, 7108, 630, 2735, 276, 1040, 834, 8867, 13378, 601, 1512, 781, 20232, 543, 519, 16572, 540, 8709, 1405, 32129, 1701, 4065, 538, 11061, 476, 2420, 281, 476, 11025, 268, 5952, 563, 274, 269, 8891, 745, 764, 328, 267, 4498, 6229, 267, 4173, 2590, 267, 8496, 3120, 269, 4937, 11061, 281, 14362, 1299, 17834, 1457, 333, 13335, 269, 715, 12764, 9990, 269, 9664, 476, 277, 3607, 268, 277, 4343, 780, 2162, 19928, 12781, 692, 1892, 11676, 328, 2405, 3757, 334, 630, 308, 7374, 1070, 8341, 928, 10370, 630, 308, 7374, 2020, 6021, 281, 2918, 267, 476, 273, 4239, 476, 1001, 274, 692, 1012, 16193, 692, 9556, 2544, 966, 564, 5426, 912, 9556, 2544, 27010, 5426, 1384, 2162, 22816, 924, 868, 338, 692, 2304, 22085, 293, 14102, 5741, 0, 258, 3778, 540, 10789, 692, 1103, 281, 4033, 11762, 692, 8138, 4784, 1635, 840, 1258, 320, 454, 24552, 476, 8660, 274, 454, 303, 1137, 476, 275, 454, 14532, 540, 7223, 634, 1686, 540, 7223, 3459, 538, 3504, 5527, 543, 20770, 267, 1141, 1004, 4121, 547, 4194, 5276, 630, 1314, 815, 536, 264, 543, 13392, 630, 1314, 273, 1341, 536, 343, 815, 524, 264, 4834, 267, 607, 1134, 607, 967, 9057, 3729, 4834, 971, 607, 1535, 273, 1341, 586, 273, 815, 1990, 273, 267, 17929, 1896, 26968, 985, 616, 3238, 269, 634, 3504, 20770, 2103, 12193, 17062, 13392, 4834, 676, 9247, 519, 1482, 5773, 6026, 2221, 269, 1358, 849, 1223, 4194, 930, 967, 9057, 3729, 4834, 780, 763, 22354, 6929, 22697, 15552, 540, 28641, 543, 4144, 2684, 656, 639, 4797, 519, 5389, 540, 5527, 543, 20770, 267, 855, 4144, 2684, 656, 639, 781, 1433, 25226, 320, 568, 593, 513, 1454, 2362, 1377, 543, 3947, 1082, 9670, 3435, 547, 2352, 967, 9057, 3729, 4834, 269, 901, 3504, 1702, 540, 3435, 540, 4834, 538, 2490, 1336, 513, 1753, 2038, 538, 519, 9099, 1158, 267, 1141, 621, 729, 1634, 607, 519, 834, 14396, 540, 11808, 543, 13326, 1701, 630, 763, 12428, 2262, 585, 11808, 267, 620, 18191, 629, 745, 267, 529, 519, 3597, 540, 519, 2262, 7223, 4700, 769, 519, 476, 280, 628, 2540, 267, 519, 6259, 22301, 620, 11860, 327, 8705, 714, 14741, 5206, 835, 540, 519, 1101, 12428, 620, 613, 30944, 267, 513, 9836, 1163, 657, 2946, 540, 519, 2596, 3069, 540, 4834, 267, 609, 1312, 1806, 543, 15997, 269, 1635, 519, 1439, 540, 519, 476, 280, 628, 2540, 267, 519, 12266, 22301, 26512, 918, 7056, 1185, 7150, 543, 9863, 519, 2596, 4031, 543, 9163, 540, 7223, 543, 12193, 971, 7294, 2042, 607, 4466, 1535, 267, 586, 267, 543, 1990, 971, 602, 1535, 1341, 586, 1341, 1990, 815, 476, 1015, 267, 1535, 273, 1341, 586, 273, 815, 1990, 273, 267, 543, 1535, 345, 815, 586, 273, 780, 26123, 12977, 5206, 856, 15821, 7215, 1210, 1152, 17573, 31120, 267, 855, 676, 10120, 2053, 9099, 22697, 941, 2111, 547, 2911, 827, 11737, 337, 3320, 1164, 7060, 540, 519, 7164, 1535, 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 ]
[ 621, 781, 2653, 585, 3214, 547, 6336, 3950, 540, 741, 28378, 543, 20499, 269, 6435, 707, 1126, 3251, 6896, 676, 2870, 513, 4832, 19943, 1592, 267, 5329, 513, 11706, 540, 2238, 267, 543, 21458, 741, 28378, 563, 6826, 3461, 543, 1620, 269, 14400, 2736, 666, 581, 513, 4101, 942, 585, 1312, 3214, 543, 3237, 269, 898, 781, 1271, 547, 581, 3461, 543, 1620, 540, 707, 1126, 781, 2115, 269, 1403, 707, 1126, 568, 10010, 609, 4376, 267, 581, 972, 547, 2709, 1489, 563, 16729, 891, 4388, 666, 948, 596, 543, 707, 1126, 723, 513, 3811, 4832, 2736, 269, 1635, 3246, 707, 1126, 609, 2497, 267, 1964, 267, 2534, 267, 23462, 267, 543, 3919, 267, 596, 666, 948, 873, 1118, 519, 1034, 540, 741, 4832, 16314, 563, 2080, 616, 930, 3606, 4388, 585, 3237, 593, 875, 547, 948, 741, 1453, 723, 513, 3811, 4832, 2736, 912, 307, 1779, 547, 707, 1126, 827, 741, 4832, 4566, 269, 1548, 798, 789, 1616, 547, 798, 609, 741, 1863, 942, 286, 1548, 616, 789, 5461, 538, 1565, 811, 827, 888, 20055, 707, 1126, 1265, 2238, 602, 789, 616, 5461, 538, 543, 602, 786, 4161, 873, 269, 901, 1223, 1331, 2921, 5049, 267, 24749, 267, 610, 11836, 513, 4832, 3786, 563, 21886, 5971, 707, 1126, 547, 2263, 741, 5876, 269, 901, 1223, 4125, 7206, 267, 1603, 267, 4730, 2575, 267, 610, 1565, 513, 1007, 5578, 563, 20055, 707, 1126, 1020, 513, 2208, 14820, 269, 901, 1797, 18468, 602, 789, 666, 1451, 543, 2087, 609, 4674, 563, 6826, 513, 1909, 2203, 585, 707, 1126, 269, 8058, 873, 875, 547, 723, 1187, 267, 581, 3742, 267, 543, 581, 11327, 563, 9827, 1310, 513, 1279, 4832, 2736, 609, 1447, 26050, 543, 5107, 267, 621, 1522, 581, 1271, 547, 5965, 873, 585, 519, 1007, 14232, 1153, 1032, 269, 6969, 519, 1376, 540, 519, 1007, 1153, 1032, 267, 3237, 666, 948, 1453, 1205, 1031, 543, 3082, 1007, 270, 1245, 13467, 563, 2080, 616, 930, 2856, 781, 875, 547, 8011, 538, 3257, 865, 912, 307, 1779, 547, 707, 1126, 827, 741, 3853, 585, 519, 1007, 1153, 1032, 269, 1548, 798, 789, 1616, 547, 1451, 286, 1548, 616, 789, 15691, 547, 3035, 888, 20055, 707, 1126, 1205, 6896, 269, 901, 1797, 4259, 909, 513, 1353, 2230, 267, 2870, 513, 6780, 8430, 267, 543, 5329, 3950, 540, 10467, 563, 21886, 5971, 707, 1126, 547, 1224, 936, 519, 4832, 269, 901, 786, 948, 873, 3251, 8325, 543, 5965, 585, 519, 6551, 832, 540, 519, 1007, 1153, 1032, 563, 20055, 707, 1126, 2689, 2979, 543, 2542, 1983, 269, 1403, 707, 1126, 568, 10010, 538, 891, 2127, 267, 596, 949, 1616, 547, 2015, 679, 13764, 873, 538, 513, 4832, 23468, 1982, 563, 20055, 707, 1126, 1205, 513, 1434, 3781, 781, 3207, 269, 901, 786, 948, 873, 3251, 10332, 543, 5059, 538, 519, 4928, 563, 13014, 2386, 707, 1126, 22655, 513, 2635, 14254, 269, 901, 786, 2285, 873, 519, 1648, 789, 991, 547, 1376, 519, 1554, 1055, 1318, 563, 303, 871, 707, 1126, 513, 2635, 12899, 269, 901, 786, 948, 873, 3251, 23185, 2429, 519, 1153, 1554, 563, 21886, 5971, 707, 1126, 547, 1205, 3238, 538, 29599, 2238, 269, 901, 786, 948, 873, 3251, 3742, 543, 1118, 1007, 2828, 563, 13729, 513, 1434, 1383, 269, 8058, 707, 1126, 602, 596, 1871, 2069, 543, 602, 596, 616, 8149, 547, 741, 1967, 563, 3528, 1739, 891, 4388, 267, 596, 666, 948, 707, 1126, 723, 513, 4832, 2736, 602, 568, 1312, 1187, 543, 11327, 267, 8600, 607, 1134, 585, 519, 1007, 1153, 1032, 269, 0, 30144, 10791, 4643, 9669, 18737, 18455, 2635, 267, 14547, 267, 543, 8797, 568, 711, 606, 2025, 1523, 269, 898, 568, 513, 15428, 835, 269, 1677, 723, 513, 2635, 1272, 538, 513, 2635, 1560, 596, 991, 547, 723, 513, 2635, 2732, 269, 2060, 513, 2635, 2732, 1544, 267, 596, 666, 723, 1434, 1072, 538, 707, 17927, 269, 589, 1434, 7209, 267, 8746, 19773, 267, 543, 1256, 513, 1514, 5858, 666, 2482, 856, 922, 5072, 538, 513, 2635, 2732, 1317, 621, 3947, 513, 2635, 6197, 538, 1100, 942, 563, 288, 2635, 2732, 786, 1832, 596, 538, 1434, 3337, 269, 898, 786, 1832, 707, 2597, 538, 2638, 269, 898, 786, 1832, 707, 4105, 8219, 2324, 538, 1931, 269, 16362, 779, 20499, 786, 711, 723, 741, 17167, 593, 707, 1272, 269, 1924, 621, 568, 2731, 1271, 547, 723, 513, 2635, 2732, 1544, 269, 1452, 1978, 4388, 786, 723, 596, 723, 513, 2635, 2732, 1544, 912, 268, 898, 568, 1271, 547, 3548, 513, 7059, 2732, 585, 782, 519, 1072, 2640, 269, 769, 2013, 596, 798, 711, 3548, 513, 7059, 2732, 609, 782, 519, 5567, 543, 1898, 6886, 585, 707, 1560, 267, 596, 786, 2760, 581, 2635, 563, 268, 16202, 707, 6980, 12905, 543, 538, 4130, 5666, 693, 2834, 2053, 269, 901, 786, 1832, 707, 1560, 9219, 2635, 563, 268, 4258, 342, 707, 1426, 5265, 607, 621, 2337, 538, 2635, 12536, 563, 268, 1684, 711, 4235, 1216, 3368, 606, 5662, 1354, 543, 1310, 1022, 7594, 607, 621, 5540, 519, 9667, 3601, 538, 513, 3983, 6752, 269, 898, 729, 1127, 1055, 782, 519, 2067, 11476, 540, 519, 7181, 799, 948, 538, 12536, 269, 14068, 12536, 5012, 547, 606, 14432, 1560, 563, 268, 853, 11691, 6094, 568, 711, 8209, 2635, 269, 3493, 337, 1516, 3054, 1055, 1426, 786, 711, 1291, 547, 1434, 1072, 269, 1924, 798, 711, 581, 32601, 827, 2597, 10781, 563, 268, 21894, 596, 3548, 610, 1544, 547, 3548, 607, 513, 2732, 267, 3635, 568, 1360, 1271, 269, 1411, 991, 547, 723, 513, 2834, 3635, 12512, 585, 513, 2635, 6197, 543, 2635, 1560, 563, 268, 1684, 711, 1118, 1022, 32601, 3853, 827, 513, 2635, 2732, 1544, 269, 5269, 513, 2110, 1606, 32484, 3804, 267, 585, 1383, 267, 798, 711, 1589, 827, 21496, 610, 10865, 10781, 1589, 540, 8236, 12353, 3853, 269, 1280, 3236, 267, 1589, 540, 1519, 835, 4829, 543, 835, 4837, 540, 5144, 538, 707, 2732, 1169, 6640, 269, 19321, 713, 585, 513, 3018, 1287, 1491, 621, 2059, 585, 513, 3923, 563, 268, 16202, 4195, 1426, 609, 4195, 5820, 543, 1447, 24996, 543, 5667, 18260, 3282, 269, 589, 8899, 2275, 16808, 543, 1164, 1922, 9200, 2732, 786, 1118, 585, 513, 7059, 12512, 563, 268, 634, 1292, 3804, 568, 547, 2057, 1072, 4220, 543, 3676, 267, 723, 1164, 1648, 547, 979, 593, 609, 960, 26050, 267, 543, 711, 1745, 13110, 269, 2060, 713, 3804, 538, 2247, 267, 513, 2635, 2732, 5750, 568, 547, 581, 9709, 563, 268, 4826, 568, 513, 23887, 851, 540, 513, 2635, 7594, 1544, 543, 1058, 2141, 581, 513, 851, 540, 621, 269, 898, 18788, 519, 3653, 2472, 543, 25560, 2504, 540, 519, 1560, 543, 8952, 707, 1560, 2635, 269, 1924, 621, 568, 4105, 547, 2611, 19872, 693, 782, 2053, 563, 268, 1684, 711, 31952, 805, 543, 1034, 11932, 798, 711, 3548, 1175, 585, 519, 19160, 540, 707, 6492, 19512, 269, 898, 786, 4734, 596, 811, 1964, 1652, 982, 13854, 269, 1411, 1058, 3548, 1175, 606, 26412, 1447, 982, 1018, 707, 14000, 7287, 6499, 269, 898, 786, 1832, 1970, 1648, 2157, 2476, 563, 268, 6270, 513, 2732, 5750, 568, 547, 581, 5423, 799, 786, 1832, 596, 13854, 543, 6126, 543, 849, 1945, 799, 596, 666, 3442, 547, 1246, 538, 519, 1279, 2196, 540, 1272, 2864, 982, 1175, 513, 1906, 2395, 610, 3275, 585, 513, 1507, 3804, 563, 268, 1684, 711, 2322, 513, 7333, 593, 1022, 1426, 6221, 269, 898, 568, 540, 1576, 855, 2067, 547, 7287, 543, 1616, 1346, 1055, 29438, 527, 3688, 1256, 811, 269, 1924, 3079, 540, 6159, 1324, 723, 621, 538, 4130, 5666, 12212, 269, 901, 786, 711, 1152, 882, 880, 596, 855, 849, 1832, 707, 17811, 6981, 1369, 7182, 563, 268, 1684, 711, 32696, 538, 2247, 1652, 4189, 269, 898, 1797, 602, 1247, 596, 3548, 707, 5834, 1058, 581, 4628, 593, 519, 1426, 596, 616, 4189, 269, 1656, 596, 786, 2965, 1294, 513, 7415, 3017, 538, 519, 2179, 540, 1426, 596, 3548, 609, 713, 4356, 269, 1879, 707, 2247, 568, 13026, 609, 1945, 3116, 585, 3236, 7641, 267, 11356, 267, 1433, 610, 2780, 267, 610, 1256, 707, 6049, 268, 596, 786, 4043, 547, 936, 3887, 520, 563, 268, 1684, 711, 3548, 1175, 1354, 1427, 3931, 547, 5127, 693, 3781, 269, 898, 568, 519, 8338, 4356, 585, 707, 2597, 2638, 543, 2635, 2732, 1544, 269, 11408, 3548, 476, 273, 268, 274, 3108, 1354, 2469, 547, 5127, 543, 723, 693, 2547, 513, 476, 1015, 18826, 3802, 1310, 602, 269, 898, 786, 948, 538, 12536, 607, 1134, 563, 268, 11408, 723, 513, 1434, 2635, 543, 5230, 14254, 2094, 938, 1560, 568, 519, 1034, 3742, 1310, 513, 1279, 3781, 779, 1964, 269, 1924, 568, 519, 9667, 1062, 269, 3973, 723, 513, 4829, 267, 840, 2000, 4875, 269, 2991, 602, 723, 513, 2635, 12899, 1287, 513, 1769, 15165, 609, 10543, 7401, 543, 12129, 1058, 2141, 581, 1769, 543, 1259, 1354, 3207, 563, 268, 1284, 991, 547, 3548, 782, 519, 4778, 269, 8786, 267, 4778, 269, 16202, 3039, 5388, 267, 5835, 543, 2699, 5613, 267, 543, 1018, 2254, 269, 12213, 23416, 1611, 7184, 3638, 538, 6886, 267, 7513, 267, 543, 824, 5567, 543, 14434, 563, 268, 16202, 811, 540, 3039, 5388, 269, 7935, 19233, 267, 22156, 267, 543, 22648, 1058, 581, 2016, 2956, 538, 707, 2732, 269, 1358, 616, 3638, 538, 782, 5686, 540, 8324, 267, 13058, 267, 7513, 267, 543, 13101, 563, 268, 16202, 6653, 5388, 547, 14183, 707, 6653, 5694, 269, 1411, 6159, 557, 11950, 2965, 950, 596, 1616, 547, 723, 513, 6653, 18397, 865, 1946, 711, 14183, 621, 676, 4189, 12277, 267, 8970, 267, 17436, 267, 610, 19637, 286, 901, 786, 849, 711, 1039, 547, 707, 2597, 23479, 563, 268, 29799, 14933, 609, 3039, 7401, 269, 898, 568, 3638, 538, 4550, 268, 31038, 1218, 543, 3947, 596, 513, 2635, 5818, 563, 268, 29799, 3339, 7573, 609, 6960, 7573, 1317, 596, 1058, 3548, 2898, 9274, 899, 6960, 7573, 267, 24061, 267, 543, 2113, 2280, 563, 268, 3417, 10808, 543, 3819, 5613, 538, 707, 2732, 1544, 607, 789, 616, 1360, 2500, 585, 1434, 1072, 563, 268, 26287, 1231, 616, 519, 2679, 7161, 540, 1480, 1272, 267, 607, 789, 1205, 10736, 883, 11254, 7408, 2899, 3330, 519, 1560, 269, 1924, 1331, 3940, 538, 707, 2732, 899, 20512, 267, 5798, 267, 9269, 267, 3092, 269, 1809, 849, 798, 711, 936, 4777, 621, 607, 621, 849, 814, 513, 2942, 1198, 593, 14401, 563, 268, 8347, 4189, 2635, 3940, 2959, 899, 3165, 267, 5798, 267, 3092, 269, 3079, 540, 2699, 5779, 269, 6684, 267, 3170, 6954, 10683, 2472, 1058, 581, 9053, 2864, 547, 3170, 11656, 10683, 2472, 563, 4322, 3339, 8192, 6208, 786, 9090, 27906, 1047, 707, 1072, 593, 513, 3152, 4336, 269, 1924, 1246, 891, 2596, 3652, 540, 513, 2635, 2732, 1544, 543, 2972, 707, 1272, 547, 519, 2407, 652, 269, 0, 1607, 26613, 3992, 1544, 568, 2966, 1472, 513, 2110, 3381, 11331, 5564, 574, 11669, 18311, 693, 476, 866, 543, 519, 4798, 540, 1617, 574, 11669, 320, 2231, 543, 11475, 269, 4841, 1451, 6863, 1644, 547, 1617, 574, 11669, 320, 2231, 543, 1870, 267, 2911, 827, 1617, 574, 11669, 320, 2231, 543, 11475, 267, 3589, 519, 1543, 540, 513, 2110, 3381, 267, 4585, 513, 2110, 3381, 267, 2347, 13156, 4967, 267, 20272, 513, 2110, 3381, 267, 1685, 513, 1909, 2452, 543, 2992, 593, 519, 3992, 563, 23458, 1377, 281, 29329, 630, 289, 272, 264, 1107, 16592, 29329, 630, 289, 273, 994, 7075, 1676, 1826, 281, 1855, 839, 543, 4079, 454, 11742, 281, 476, 3445, 3764, 454, 12244, 281, 4804, 6863, 1644, 547, 1617, 574, 11669, 320, 2231, 543, 1870, 267, 6158, 827, 1617, 574, 11669, 320, 2231, 543, 11475, 267, 17782, 519, 1543, 540, 513, 2110, 3381, 267, 8384, 513, 2110, 3381, 267, 11264, 13156, 4967, 267, 30228, 513, 2110, 3381, 267, 7900, 513, 1909, 2452, 543, 10452, 593, 519, 3992, 454, 307, 8084, 281, 5564, 574, 11669, 320, 2231, 543, 11475, 454, 23458, 281, 18500, 1644, 547, 1617, 574, 11669, 320, 2231, 543, 1870, 454, 19400, 519, 2110, 3381, 269, 0, 23530, 7754, 1564, 616, 8440, 540, 10859, 8410, 2265, 633, 1570, 630, 17141, 13339, 264, 2966, 547, 1711, 5201, 950, 1769, 31438, 593, 621, 269, 634, 6793, 519, 1769, 267, 519, 811, 3608, 519, 4276, 267, 543, 519, 811, 5201, 568, 2813, 269, 8786, 267, 713, 1281, 1611, 602, 621, 666, 5352, 5201, 1256, 593, 513, 31063, 1554, 256, 15380, 1142, 8470, 5932, 476, 25228, 26334, 513, 1554 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2622, 22453, 5680, 563, 268, 834, 7343, 21043, 269, 9549, 5867, 269, 476, 6642, 279, 9899, 533, 269, 476, 4649, 278, 268, 276, 4792, 454, 20373, 1759, 593, 1820, 4528, 2594, 454, 6262, 264, 1001, 271, 18706, 573, 344, 18280, 690, 5224, 7896, 267, 5549, 454, 268, 18135, 1380, 267, 15751, 454, 268, 7457, 10163, 9689, 912, 268, 10163, 24071, 585, 946, 676, 3135, 12689, 563, 347, 19613, 1475, 24687, 1475, 7312, 10753, 534, 8889, 2008, 347, 20373, 1475, 1805, 9850, 1475, 289, 2117, 1712, 1475, 7312, 10753, 534, 8889, 347, 0, 763, 16505, 5131, 3245, 21311, 21694, 2920, 17372, 525, 7025, 31700, 454, 19688, 476, 4905, 267, 476, 1708, 272, 454, 12441, 596, 917, 602, 1152, 476, 280, 260, 540, 782, 15229, 2479, 2813, 814, 1044, 13381, 543, 602, 519, 2136, 2276, 12958, 811, 5068, 3653, 982, 1022, 2197, 538, 519, 1158, 286, 962, 578, 5633, 256, 634, 16505, 5131, 3245, 21311, 21694, 2920, 568, 606, 4316, 585, 6837, 547, 1491, 1483, 2962, 543, 2232, 519, 5068, 5533, 6433, 269, 898, 786, 2569, 5068, 2504, 1354, 621, 2479, 814, 513, 4960, 547, 3542, 1393, 676, 943, 2084, 856, 11991, 2582, 14025, 5068, 2472, 267, 17328, 6748, 1007, 5068, 6703, 267, 8066, 3549, 18177, 585, 741, 3653, 267, 543, 9750, 19074, 543, 1201, 650, 3292, 269, 6258, 811, 827, 634, 16505, 5131, 3245, 21311, 21694, 2920, 267, 4647, 519, 16505, 5131, 3245, 21311, 21694, 2920, 5517, 16847, 543, 1451, 875, 596, 666, 1397, 707, 1489, 256, 0, 268, 5808, 5206, 519, 1433, 540, 1160, 18690, 476, 275, 888, 268, 4208, 798, 649, 946, 605, 18690, 888, 268, 1772, 7326, 519, 10513, 13336, 888, 268, 1548, 568, 519, 2495, 540, 1160, 18690, 476, 4029, 888, 268, 1548, 1281, 476, 603, 1408, 1611, 888, 268, 1548, 616, 519, 476, 276, 14686, 21359, 888, 268, 1548, 568, 7326, 1611, 888, 268, 1548, 1281, 1160, 18690, 476, 275, 2161, 888, 268, 5808, 568, 7326, 538, 519, 3883, 540, 1160, 18690, 888, 268, 5808, 5206, 25360, 332, 888, 268, 5808, 729, 1160, 18690, 476, 4029, 2854, 827, 888, 268, 5808, 5206, 1160, 18690, 476, 279, 888, 268, 1772, 585, 333, 1709, 513, 5609, 538, 519, 6426, 888, 268, 1548, 1281, 1160, 18690, 476, 274, 2161, 888, 268, 5808, 568, 519, 2278, 540, 1160, 18690, 476, 1789, 888, 268, 1548, 616, 519, 476, 278, 21359, 602, 2696, 554, 919, 888, 268, 1548, 1160, 18690, 1797, 888, 268, 1548, 568, 606, 3979, 605, 14620, 888, 268, 5808, 5206, 1160, 18690, 476, 2420, 888, 268, 6496, 2696, 31799, 782, 21359, 888, 8005, 5206, 519, 1433, 540, 1160, 18690, 476, 275, 888, 21914, 21125, 763, 1433, 779, 25436, 5524, 267, 968, 763, 605, 18690, 540, 21125, 563, 2223, 568, 711, 547, 2161, 602, 621, 607, 513, 2898, 610, 1256, 1367, 605, 18690, 1058, 581, 20295, 547, 3751, 21125, 267, 585, 14046, 6514, 12607, 4680, 602, 621, 3568, 5722, 10070, 540, 7326, 2326, 630, 2865, 569, 2110, 2161, 902, 264, 689, 513, 2647, 3099, 540, 5712, 267, 782, 1310, 2560, 563, 3963, 798, 649, 946, 605, 18690, 888, 1432, 2306, 605, 18690, 865, 2442, 543, 3532, 568, 789, 1921, 547, 1360, 2620, 5626, 5072, 538, 1480, 7919, 1848, 1160, 18690, 1831, 2442, 1317, 968, 15161, 946, 873, 547, 1921, 609, 824, 1004, 543, 519, 7326, 540, 519, 2250, 1848, 769, 938, 960, 1272, 267, 602, 7326, 568, 2356, 1031, 547, 18663, 9164, 543, 5520, 563, 3674, 7326, 519, 10513, 13336, 888, 1103, 1160, 18690, 7326, 568, 513, 12287, 269, 769, 31519, 654, 3041, 291, 6865, 568, 2047, 4448, 547, 634, 10513, 13336, 269, 2560, 769, 31519, 769, 519, 6196, 11620, 267, 634, 10513, 13336, 3357, 2390, 2696, 779, 595, 19879, 1004, 267, 519, 7642, 267, 547, 2285, 873, 16750, 7326, 547, 1374, 270, 22056, 1919, 789, 723, 2760, 2938, 1354, 563, 1432, 568, 519, 2495, 540, 1160, 18690, 476, 4029, 888, 335, 571, 1047, 540, 519, 1434, 7385, 2005, 568, 513, 17192, 540, 519, 1434, 7385, 267, 513, 4214, 540, 513, 3501, 7385, 610, 968, 728, 531, 4807, 892, 538, 519, 4182, 540, 5840, 267, 945, 568, 2048, 534, 1802, 560, 686, 748, 2777, 342, 1057, 267, 513, 695, 4319, 323, 1870, 30513, 267, 606, 9432, 2358, 911, 1457, 267, 513, 21464, 1829, 18503, 630, 2091, 476, 736, 264, 543, 513, 8797, 4116, 630, 2091, 476, 2918, 1916, 1432, 1281, 476, 603, 1408, 1611, 888, 763, 2012, 267, 594, 628, 1408, 267, 814, 607, 922, 3597, 513, 8390, 540, 519, 2262, 17333, 630, 403, 494, 25149, 402, 373, 403, 359, 32679, 264, 2495, 968, 338, 793, 892, 543, 666, 581, 21235, 607, 968, 1492, 1913, 540, 2696, 2223, 968, 515, 945, 6956, 519, 4191, 2223, 610, 968, 515, 945, 6956, 519, 9904, 540, 2696, 1848, 4039, 908, 547, 519, 5022, 540, 519, 12355, 9904, 267, 519, 3597, 2262, 17333, 849, 19752, 968, 24393, 3034, 1432, 616, 519, 476, 276, 14686, 21359, 888, 24171, 13985, 21590, 267, 789, 616, 630, 272, 264, 642, 320, 532, 331, 800, 267, 610, 11348, 267, 630, 273, 264, 26846, 267, 610, 524, 913, 339, 748, 1145, 267, 630, 274, 264, 561, 755, 267, 610, 538, 15453, 610, 28302, 4638, 7287, 267, 630, 275, 264, 679, 11803, 267, 630, 276, 264, 22965, 2023, 344, 267, 799, 568, 2356, 6956, 547, 1331, 1743, 684, 5287, 1145, 267, 630, 277, 264, 32716, 267, 610, 10845, 267, 543, 630, 278, 264, 1793, 1054, 563, 1432, 568, 7326, 1611, 888, 29825, 269, 519, 2298, 610, 1533, 540, 1373, 8797, 282, 1702, 540, 1018, 568, 3020, 610, 1318, 13745, 609, 1175, 10385, 607, 547, 2962, 282, 29345, 13369, 267, 20559, 618, 267, 610, 5813, 269, 14046, 1702, 610, 1565, 281, 519, 7326, 540, 519, 3506, 269, 8797, 2161, 902, 610, 10752, 282, 840, 32383, 269, 513, 8797, 957, 610, 6031, 563, 1432, 1281, 1160, 18690, 476, 275, 2161, 888, 3682, 18690, 476, 275, 476, 272, 5192, 7326, 267, 1205, 1620, 282, 798, 711, 7340, 1250, 1913, 610, 2220, 2925, 689, 873, 269, 1684, 711, 585, 338, 820, 7326, 267, 543, 1352, 786, 2149, 596, 282, 2648, 1200, 267, 543, 1352, 786, 4585, 936, 596, 269, 27067, 568, 18678, 282, 4061, 1205, 7326, 269, 9282, 621, 1942, 782, 596, 723, 267, 1205, 1620, 563, 8005, 568, 7326, 538, 519, 3883, 540, 1160, 18690, 888, 763, 1268, 2305, 540, 7326, 267, 3335, 607, 513, 22233, 4807, 267, 568, 513, 14953, 1336, 538, 3909, 543, 10952, 5931, 267, 1034, 16113, 538, 519, 3883, 540, 1160, 18690, 538, 519, 12355, 6426, 543, 824, 6014, 543, 4168, 5931, 563, 8005, 5206, 25360, 332, 888, 6097, 547, 6014, 2245, 267, 519, 3883, 540, 25360, 916, 729, 7768, 676, 4557, 22242, 267, 2059, 609, 6424, 945, 729, 835, 540, 922, 9030, 20334, 269, 8409, 12799, 3957, 616, 519, 3689, 2494, 630, 3849, 600, 1070, 9253, 577, 1242, 2131, 267, 14062, 267, 15584, 267, 12920, 534, 267, 808, 539, 3578, 684, 267, 1306, 7469, 267, 543, 519, 1614, 14930, 540, 31704, 1695, 563, 8005, 729, 1160, 18690, 476, 4029, 2854, 827, 888, 11854, 27218, 6818, 543, 23083, 602, 19748, 3241, 729, 1261, 345, 2131, 11672, 267, 21125, 267, 513, 4622, 540, 7136, 320, 267, 610, 535, 1112, 25875, 269, 2560, 21125, 779, 3993, 729, 24872, 9917, 9346, 267, 799, 949, 1611, 1352, 568, 519, 2278, 540, 519, 968, 1231, 18944, 19039, 766, 892, 540, 713, 3296, 540, 1160, 18690, 269, 3509, 6085, 2209, 3335, 7941, 3848, 476, 4029, 540, 1160, 18690, 883, 1079, 3982, 267, 20775, 6810, 563, 8005, 5206, 1160, 18690, 476, 279, 888, 763, 25436, 18587, 7941, 519, 10070, 607, 5205, 281, 1160, 18690, 476, 272, 1700, 280, 281, 968, 3682, 18690, 540, 21125, 267, 12312, 540, 6424, 267, 3751, 540, 5840, 892, 1160, 18690, 476, 1015, 1700, 2420, 281, 1626, 281, 968, 3682, 18690, 540, 21125, 7536, 3674, 585, 333, 1709, 513, 5609, 538, 519, 6426, 888, 2414, 4497, 538, 840, 3405, 1388, 610, 970, 1090, 541, 1388, 3023, 267, 1354, 610, 3544, 540, 7365, 267, 568, 547, 5609, 538, 2696, 779, 8289, 269, 2334, 568, 10502, 519, 1448, 540, 1261, 3691, 9749, 476, 1724, 281, 275, 267, 513, 14235, 1419, 5219, 547, 538, 713, 2186, 540, 4901, 563, 1432, 1281, 1160, 18690, 476, 274, 2161, 888, 289, 1043, 19835, 3118, 1160, 18690, 476, 274, 26012, 715, 4353, 269, 585, 789, 786, 10804, 707, 1272, 1082, 1296, 543, 3142, 596, 13884, 269, 2913, 2648, 543, 5132, 6888, 2760, 4734, 596, 282, 12622, 873, 1472, 707, 8405, 267, 2328, 873, 593, 519, 16979, 540, 707, 2295, 269, 3973, 596, 786, 3094, 3870, 543, 513, 1434, 2012, 538, 519, 8289, 540, 2696, 543, 812, 563, 8005, 568, 519, 2278, 540, 1160, 18690, 476, 1789, 888, 13070, 584, 1649, 25455, 327, 13070, 584, 1649, 25455, 327, 630, 3891, 11119, 281, 13913, 494, 403, 496, 25149, 29645, 13913, 495, 403, 509, 13913, 503, 403, 356, 403, 498, 264, 729, 519, 29085, 540, 513, 4015, 540, 605, 18690, 1336, 538, 1160, 18690, 476, 1789, 267, 799, 568, 3006, 1634, 607, 519, 3883, 540, 3397, 584, 610, 17166, 902, 540, 3397, 584, 563, 1432, 616, 519, 476, 278, 21359, 602, 2696, 554, 919, 888, 6097, 547, 519, 3044, 1592, 267, 789, 616, 11348, 267, 26846, 267, 32716, 267, 679, 11803, 267, 561, 755, 267, 22965, 2023, 344, 267, 543, 1793, 1054, 267, 799, 616, 14669, 547, 519, 5722, 31676, 21644, 563, 1432, 1160, 18690, 1797, 888, 763, 4214, 540, 513, 605, 14620, 568, 513, 2110, 6031, 602, 568, 4922, 1031, 547, 2769, 606, 6654, 5168, 269, 2560, 1160, 18690, 568, 513, 1433, 540, 519, 6426, 602, 3568, 18408, 610, 1913, 540, 7326, 689, 21125, 543, 824, 8797, 5840, 529, 267, 610, 2489, 2161, 902, 799, 616, 2808, 8797, 269, 670, 4292, 2306, 3653, 568, 606, 1383, 540, 513, 605, 14620, 563, 1432, 568, 606, 3979, 605, 14620, 888, 3682, 18690, 616, 606, 7533, 851, 540, 3979, 2528, 269, 2560, 1160, 18690, 616, 1031, 547, 9414, 2093, 267, 12927, 7440, 543, 5838, 6835, 540, 6667, 267, 931, 15684, 267, 11812, 543, 5796, 269, 634, 1390, 30645, 2278, 25590, 7699, 3600, 515, 2041, 2899, 5206, 281, 968, 3682, 18690, 616, 519, 13869, 3282, 609, 799, 1913, 616, 13881, 3034, 8005, 5206, 1160, 18690, 476, 2420, 888, 22069, 14137, 276, 4366, 264, 2854, 676, 21125, 267, 519, 3791, 4622, 540, 5840, 269, 1452, 8370, 11271, 941, 2854, 607, 513, 4651, 8716, 1010, 5067, 547, 2648, 7326, 543, 25176, 689, 1165, 569, 563, 9989, 2696, 31799, 782, 21359, 888, 5472, 21359, 4927, 581, 8483, 1508, 267, 4849, 519, 5609, 1996, 519, 10513, 26415, 282, 585, 4906, 786, 4688, 782, 4849, 519, 14930, 540, 829, 1288, 269, 1548, 1590, 513, 812, 798, 547, 3479, 519, 10002, 30972, 762, 5609, 286, 1261, 1590, 4309, 519, 10513, 26415, 267, 723, 519, 30723, 8118, 21349, 1864, 267, 543, 917, 2696, 267, 543, 1287, 5609, 1996, 1864, 269, 0, 303, 13263, 3008, 610, 623, 23177, 786, 711, 1020, 538, 1169, 1126, 609, 606, 3968, 269, 630, 22131, 2402, 2097, 543, 979, 1070, 5948, 609, 1895, 589, 29530, 268, 1335, 32673, 1792, 696, 25497, 5632, 3968, 630, 294, 5723, 9391, 1070, 717, 5723, 9391, 23576, 676, 2901, 513, 2318, 11563, 2528, 585, 1792, 335, 610, 2318, 585, 1792, 696, 19905, 1583, 1108, 630, 3008, 5588, 610, 14640, 19091, 572, 5174, 1070, 589, 1686, 540, 25753, 2280, 674, 1197, 610, 28039, 9964, 8611, 269, 1323, 11506, 4550, 3613, 516, 696, 25497, 5632, 512, 3438, 630, 7945, 607, 606, 6789, 5588, 610, 606, 14640, 19091, 572, 5174, 264, 1797, 519, 1126, 814, 1185, 513, 1792, 335, 269, 623, 23177, 281, 14529, 8824, 26590, 268, 976, 564, 11671, 268, 17595, 12278, 15540, 267, 623, 13263, 3008, 281, 14529, 8824, 16790, 14545, 11671, 268, 17595, 12278, 13081, 23105, 609, 6790, 335, 589, 269, 623, 23177, 270, 623, 13263, 3008, 568, 513, 2370, 1634, 267, 855, 1521, 762, 267, 2564, 2783, 602, 5654, 899, 513, 17867, 4524, 269, 898, 568, 10355, 8995, 543, 2370, 6956, 676, 519, 2489, 2564, 2146, 269, 2776, 26247, 532, 568, 1898, 269, 634, 1234, 8469, 623, 23177, 1299, 623, 13263, 3008, 18669, 13166, 8118, 538, 4728, 476, 1001, 279, 543, 3366, 676, 3223, 517, 773, 18703, 267, 519, 13653, 540, 1234, 8469, 7849, 6925, 18669, 543, 14844, 1755, 12949, 945, 814, 1044, 14916, 8156, 1453, 609, 623, 23177, 543, 623, 13263, 3008, 585, 1896, 1296, 269, 901, 1797, 602, 623 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 273, 692, 300, 573, 3410, 22410, 476, 272, 609, 10298, 910, 4569, 476, 6872, 275, 267, 7671, 774, 11448, 630, 25079, 287, 4118, 31892, 12975, 264, 13628, 267, 5988, 476, 280, 267, 476, 1001, 273, 476, 272, 269, 630, 274, 2798, 1142, 264, 1280, 1142, 4845, 2630, 267, 2161, 2436, 621, 568, 25401, 6697, 547, 519, 4845, 692, 2162, 2598, 4740, 9119, 17976, 476, 272, 20603, 540, 3281, 895, 32276, 269, 22489, 18999, 8725, 1715, 3840, 2160, 692, 11514, 4740, 9119, 17976, 476, 272, 20603, 540, 3281, 895, 32276, 22489, 18999, 8725, 1715, 3840, 2160, 10029, 4147, 5680, 13505, 5291, 2517, 14369, 269, 5500, 340, 12975, 11305, 12973, 4882, 28026, 4962, 17320, 2420, 269, 23056, 271, 268, 9826, 270, 631, 9430, 5903, 4427, 18285, 693, 692, 2162, 3848, 476, 274, 269, 19577, 269, 476, 274, 269, 272, 634, 7186, 540, 19577, 692, 6637, 476, 274, 19577, 476, 274, 269, 272, 634, 7186, 540, 19577, 1284, 2253, 609, 513, 10952, 4901, 593, 519, 2470, 540, 6169, 269, 1879, 513, 1268, 568, 18486, 585, 513, 6760, 543, 4547, 547, 4693, 267, 621, 568, 10924, 602, 519, 31989, 814, 692, 2162, 7201, 12392, 11872, 538, 9119, 269, 23916, 15306, 2160, 4972, 540, 9119, 269, 13823, 2563, 11872, 538, 2598, 4740, 9119, 692, 15152, 12392, 11872, 538, 9119, 23916, 15306, 2160, 4972, 540, 9119, 13823, 2563, 11872, 538, 2598, 4740, 9119, 3057, 4897, 645, 269, 5685, 534, 524, 2353, 7126, 27616, 7831, 21213, 4989, 476, 277, 267, 476, 1001, 277, 2776, 2183, 692, 2162, 9502, 476, 1015, 269, 589, 20790, 568, 513, 3948, 2901, 3020, 610, 7301, 267, 855, 711, 1312, 780, 6637, 476, 273, 1160, 6570, 531, 20603, 2552, 337, 926, 3772, 267, 4797, 570, 15634, 1194, 2465, 267, 952, 621, 729, 865, 267, 621, 1522, 581, 282, 543, 952, 621, 941, 865, 267, 621, 1131, 581, 282, 855, 607, 621, 3884, 512, 267, 621, 513, 514, 512, 269, 2334, 521, 7954, 269, 630, 299, 1168, 529, 2961, 2651, 267, 7705, 521, 24601, 692, 2162, 11929, 476, 272, 12226, 281, 20603, 543, 19577, 692, 304, 7742, 674, 17920, 476, 1001, 273, 267, 28960, 8656, 2793, 6167, 4353, 8991, 14510, 11929, 476, 272, 12226, 281, 20603, 543, 19577, 5181, 476, 1704, 267, 476, 1001, 273, 27491, 281, 7490, 2626, 1142, 2243, 4625, 267, 543, 1397, 782, 540, 707, 960, 269, 3487, 658, 5491, 786, 581, 13752, 1141, 692, 2162, 8791, 476, 272, 269, 32276, 543, 18266, 23959, 269, 9502, 476, 272, 269, 272, 281, 589, 6310, 3948, 568, 513, 3616, 541, 894, 4845, 602, 568, 3020, 610, 7301, 267, 855, 711, 1312, 780, 300, 25834, 271, 26929, 531, 11872, 281, 9978, 20603, 16610, 769, 713, 1576, 649, 786, 4983, 6898, 827, 6310, 2035, 543, 3347, 1063, 891, 2035, 630, 3698, 20532, 267, 5376, 916, 1040, 1284, 786, 849, 2015, 692, 2162, 476, 274, 269, 274, 19577, 338, 12833, 6295, 10829, 13294, 692, 274, 269, 274, 19577, 338, 12833, 6295, 10829, 13294, 476, 272, 269, 769, 3635, 476, 277, 540, 8791, 476, 273, 269, 273, 596, 946, 9266, 5973, 1878, 547, 1397, 602, 1535, 9638, 630, 343, 264, 1627, 3287, 4297, 568, 6697, 547, 1535, 335, 630, 343, 264, 1535, 336, 3287, 1040, 3767, 946, 519, 2409, 540, 713, 3296, 547, 6961, 602, 692, 2162, 2598, 4740, 9119, 17976, 476, 274, 16504, 7089, 7869, 543, 10613, 540, 19577, 269, 22489, 18999, 8725, 1715, 3840, 2160, 692, 11514, 4740, 9119, 17976, 476, 274, 16504, 7089, 7869, 543, 10613, 540, 19577, 22489, 18999, 8725, 1715, 3840, 2160, 19577, 543, 4032, 699, 343, 2217, 20570, 543, 6169, 4634, 543, 9642, 2338, 1297, 562, 689, 2098, 568, 1572, 692, 2162, 20530, 6510, 20603, 269, 7151, 281, 2353, 2367, 616, 6180, 531, 269, 24198, 568, 513, 812, 269, 24198, 568, 6180, 531, 780, 303, 1042, 6510, 20603, 7151, 281, 2353, 2367, 616, 6180, 531, 269, 24198, 568, 513, 812, 269, 24198, 568, 6180, 531, 269, 8074, 281, 1284, 991, 7954, 4031, 602, 960, 585, 6898, 5473, 9424, 899, 930, 543, 782, 269, 769, 2296, 267, 519, 2392, 6510, 568, 692, 2162, 476, 4029, 568, 513, 6305, 1297, 568, 513, 6310, 3948, 630, 6518, 4523, 547, 581, 3020, 6393, 6637, 476, 272, 19556, 20603, 769, 922, 1034, 2596, 1106, 267, 9119, 568, 519, 2259, 540, 26471, 5168, 547, 7143, 671, 18249, 6898, 269, 769, 713, 1576, 267, 649, 786, 1020, 519, 1983, 547, 946, 1634, 3020, 6898, 547, 692, 2162, 4569, 476, 4968, 271, 26121, 3794, 27443, 692, 13043, 476, 4968, 271, 26121, 3794, 27443, 7831, 21213, 593, 281, 5147, 476, 1428, 267, 476, 1001, 275, 634, 4214, 540, 3688, 6825, 609, 513, 1590, 581, 1634, 10502, 269, 3848, 476, 272, 281, 476, 272, 269, 589, 1305, 281, 589, 4015, 540, 3615, 1572, 2609, 269, 476, 273, 269, 634, 8900, 1305, 630, 692, 2162, 20591, 290, 3918, 15288, 13878, 295, 281, 700, 17614, 13543, 476, 275, 692, 291, 3041, 290, 3918, 15288, 13878, 295, 281, 700, 17614, 13543, 476, 275, 19010, 269, 667, 3198, 296, 5085, 674, 3918, 4932, 3198, 476, 272, 269, 3848, 476, 274, 269, 272, 20530, 545, 919, 543, 10829, 1881, 32276, 594, 589, 2392, 6510, 568, 513, 4845, 602, 3568, 513, 13113, 1297, 540, 4632, 543, 3587, 513, 3948, 950, 1808, 692, 2162, 476, 272, 1160, 6570, 267, 8298, 673, 1921, 1161, 543, 7623, 6898, 692, 11514, 4740, 9119, 281, 17976, 476, 275, 4985, 547, 20603, 26189, 528, 281, 589, 686, 329, 527, 645, 880, 20692, 11261, 281, 5147, 476, 2767, 267, 476, 1220, 280, 476, 272, 1160, 6570, 267, 8298, 673, 1921, 1161, 543, 7623, 6898, 20603, 568, 519, 9015, 602, 9388, 609, 519, 692, 2162, 10298, 585, 6657, 2042, 593, 15997, 692, 22069, 1903, 585, 6657, 2042, 593, 15997, 9502, 281, 630, 16838, 264, 1323, 8870, 562, 2098, 568, 1256, 952, 543, 1152, 952, 562, 815, 476, 273, 332, 585, 930, 1297, 544, 2098, 269, 9502, 281, 630, 15957, 264, 1323, 8870, 562, 2098, 568, 9642, 952, 543, 1152, 952, 562, 815, 476, 273, 332, 1341, 476, 272, 585, 930, 692, 2162, 16504, 7089, 7869, 543, 10613, 540, 19577, 269, 595, 10345, 476, 21497, 267, 25043, 540, 8950, 3163, 853, 3415, 15588, 2160, 5291, 2517, 4178, 6983, 338, 14714, 3415, 15842, 758, 780, 292, 11915, 7089, 7869, 543, 10613, 540, 19577, 595, 10345, 476, 21497, 267, 25043, 540, 8950, 3163, 853, 3415, 15588, 2160, 5291, 2517, 4178, 6983, 338, 14714, 3415, 15842, 758, 12975, 270, 349, 22330, 21497, 476, 272, 7089, 3069, 16544, 281, 476, 273, 16544, 540, 9981, 630, 3369, 1961, 692, 2162, 19452, 267, 649, 723, 32475, 281, 12596, 602, 666, 1152, 581, 7301, 267, 552, 3052, 269, 630, 335, 533, 6393, 6224, 22790, 476, 275, 269, 29865, 30121, 700, 8104, 2975, 476, 6795, 634, 1318, 2865, 6241, 540, 713, 5168, 3349, 3568, 8320, 540, 570, 543, 8320, 540, 674, 269, 18564, 602, 972, 616, 1100, 5232, 540, 20314, 1890, 269, 1403, 1312, 2418, 616, 2009, 267, 519, 4542, 692, 2162, 476, 2420, 290, 281, 866, 2598, 4740, 4569, 269, 1924, 269, 1548, 568, 621, 286, 4208, 15768, 2979, 286, 12096, 476, 1220, 280, 670, 656, 7776, 18681, 692, 2420, 290, 281, 866, 2598, 4740, 4569, 12096, 476, 1220, 280, 670, 656, 7776, 18681, 1924, 269, 1548, 568, 621, 286, 2598, 4740, 6128, 568, 519, 1353, 540, 6310, 3889, 602, 616, 21739, 15768, 267, 538, 519, 2631, 540, 711, 5885, 610, 8506, 519, 692, 2162, 20603, 786, 1205, 596, 689, 589, 547, 645, 269, 22569, 1588, 786, 1491, 596, 10876, 780, 6637, 476, 274, 20530, 6510, 20603, 20603, 786, 1205, 596, 689, 589, 547, 645, 269, 22569, 1588, 786, 1491, 596, 10876, 269, 589, 269, 18160, 769, 519, 3105, 3184, 267, 649, 6594, 20790, 531, 7954, 269, 901, 3184, 568, 6131, 547, 1776, 692, 2162, 17976, 11872, 538, 2598, 4740, 9119, 269, 3057, 4897, 645, 269, 5685, 534, 23916, 15306, 2160, 524, 2353, 7126, 27616, 692, 299, 15145, 11872, 538, 2598, 4740, 9119, 3057, 4897, 645, 269, 5685, 534, 23916, 15306, 2160, 524, 2353, 7126, 27616, 476, 273, 2776, 2183, 901, 1433, 568, 2966, 585, 513, 835, 19496, 1576, 538, 15768, 6128, 585, 8683, 558, 648, 610, 21738, 692, 2162, 14584, 267, 476, 3607, 280, 771, 329, 2002, 6292, 3772, 267, 476, 4375, 276, 771, 329, 2002, 5036, 267, 476, 26951, 771, 329, 4233, 267, 476, 3451, 267, 476, 3607, 2733, 5737, 4031, 692, 19340, 6207, 1871, 267, 476, 13670, 476, 15221, 19605, 3961, 267, 476, 22724, 19605, 11201, 267, 476, 22724, 513, 548, 874, 267, 476, 5379, 277, 7223, 540, 5036, 267, 476, 25090, 267, 476, 30116, 24431, 2096, 13240, 6935, 267, 476, 4343, 278, 9095, 338, 710, 1599, 267, 476, 4097, 280, 12980, 5311, 267, 476, 21172, 15561, 6516, 10484, 2162, 20530, 6510, 20603, 269, 12359, 807, 631, 2227, 269, 15604, 20530, 545, 919, 543, 10829, 13294, 715, 6479, 10829, 13294, 4635, 20530, 6510, 20145, 692, 303, 1042, 6510, 20603, 15604, 476, 1001, 271, 20530, 545, 919, 589, 20530, 6510, 568, 513, 3616, 541, 894, 4845, 4171, 3020, 11721, 4426, 1871, 5673, 593, 835, 610, 811, 4632, 269, 634, 3948, 1535, 568, 3152, 982, 476, 274, 814, 1079, 2694, 281, 519, 1641, 281, 1535, 568, 692, 2162, 4569, 476, 4968, 271, 8791, 476, 19740, 2271, 549, 547, 17593, 4569, 14581, 476, 273, 692, 13043, 476, 4968, 271, 8791, 476, 19740, 2271, 549, 547, 17593, 4569, 14581, 476, 273, 4972, 540, 19556, 543, 18926, 7070, 2160, 540, 12548, 28631, 267, 11354, 476, 1001, 273, 10298, 630, 21938, 476, 1724, 267, 476, 1001, 273, 264, 7490, 4063, 602, 891, 692, 2162, 26386, 540, 9119, 17976, 476, 277, 281, 1160, 6570, 531, 20603, 692, 293, 1495, 22954, 540, 9119, 17976, 476, 277, 281, 1160, 6570, 531, 20603, 2871, 534, 4149, 6062, 1263, 29399, 2817, 15616, 15089, 2160, 267, 15990, 11354, 267, 476, 1220, 279, 476, 272, 1315, 476, 4375, 4045, 1161, 1160, 6570, 531, 4045, 1161, 594, 476, 272, 10598, 566, 281, 630, 2254, 589, 264, 589, 589, 570, 674, 692, 2162, 13878, 295, 11555, 26177, 918, 3951, 269, 3115, 22004, 609, 10479, 540, 519, 26133, 4937, 10055, 656, 5948, 540, 4516, 780, 21316, 295, 11555, 26177, 918, 3951, 3115, 22004, 609, 10479, 540, 519, 26133, 4937, 10055, 656, 5948, 540, 4516, 269, 14645, 476, 876, 676, 519, 26133, 4937, 10055, 656, 5948, 540, 4516, 543, 519, 772, 6195, 7464, 24529, 10406, 780, 2162, 654, 308, 6311, 13199, 269, 2598, 4740, 9119, 269, 20603, 692, 310, 308, 6311, 13199, 2598, 4740, 9119, 20603, 476, 272, 269, 20603, 476, 273, 269, 20530, 6510, 20603, 476, 274, 269, 19577, 338, 476, 275, 269, 5590, 7869, 476, 276, 269, 9534, 543, 12793, 654, 308, 6311, 13199, 20603, 476, 272, 8791, 476, 272, 269, 20603, 476, 272, 269, 272, 269, 4985, 269, 769, 3384, 513, 6310, 3069, 10484, 2162, 18040, 2969, 25758, 13878, 26154, 22310, 11550, 302, 12396, 6730, 654, 14176, 5990, 312, 25758, 29313, 18306, 19611, 2496, 20062, 2969, 25758, 13878, 26154, 22310, 11550, 302, 12396, 6730, 654, 14176, 5990, 312, 25758, 29313, 18306, 19611, 286, 4367, 3509, 1053, 3100, 547, 723, 8373, 609, 519, 10206, 540, 513, 6310, 6169, 269, 4658, 602, 2097, 547, 513, 1576, 899, 4569, 476, 21327, 267, 945, 6157, 692, 2162, 19556, 1473, 25934, 692, 12385, 3012, 673, 1473, 25934, 8841, 14088, 577, 1731, 12096, 540, 476, 1220, 276, 17976, 476, 273, 630, 719, 540, 1614, 264, 4643, 476, 272, 269, 16200, 1473, 25934, 476, 273, 269, 674, 5435, 344, 1473, 340, 2388, 476, 274, 269, 1473, 25934, 543, 519, 2274, 770, 27100, 25867, 16200, 1473, 25934, 25828, 10606, 692, 2162, 476, 272, 269, 681, 769, 713, 543, 519, 1985, 3296, 649, 616, 2469, 547, 1353, 519, 3601, 540, 9696, 540, 1483, 2338, 780, 266, 320, 476, 272, 269, 681, 769, 713, 543, 519, 1985, 3296, 649, 616, 2469, 547, 1353, 519, 3601, 540, 9696, 540, 1483, 2338, 269, 9502, 476, 272, 269, 272, 269, 630, 306, 3225, 775, 264, 589, 5311, 568, 513, 1599, 609, 6389, 715, 269, 7151, 476, 272, 269, 273, 269, 589, 5311, 540, 1483, 692, 2162, 10829, 13294, 616, 1031, 547, 4766, 4632, 538, 6898, 269, 910, 634, 8471, 3067, 8595, 1797, 585, 782, 269, 910, 634, 16650, 3067, 8595, 1797, 972, 6818, 780, 1556, 10829, 13294, 616, 1031, 547, 4766, 4632, 538, 6898, 269, 910, 634, 8471, 3067, 8595, 1797, 585, 782, 269, 910, 634, 16650, 3067, 8595, 1797, 972, 6818, 269, 634, 2453 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 556, 3146, 548, 1078, 7466, 267, 1101, 607, 4132, 25141, 630, 335, 1601, 4601, 476, 4350, 280, 264, 543, 1586, 607, 19129, 29729, 654, 1161, 630, 3707, 276, 1040, 6321, 454, 763, 8943, 267, 2705, 267, 849, 562, 12089, 2318, 26007, 540, 21657, 18081, 543, 3906, 602, 31045, 621, 267, 3976, 9247, 9427, 1022, 26841, 540, 700, 2660, 6377, 29513, 1765, 27168, 610, 2942, 31539, 519, 5496, 269, 1879, 789, 1705, 2408, 538, 13416, 8874, 267, 700, 2660, 6377, 29513, 2968, 1945, 540, 513, 29905, 267, 811, 3622, 5219, 547, 676, 741, 13664, 5169, 982, 741, 3909, 4978, 269, 3933, 6945, 779, 7262, 634, 2494, 689, 18096, 630, 4350, 275, 264, 13423, 558, 1242, 713, 1007, 7154, 540, 8204, 26599, 976, 14557, 655, 5597, 269, 769, 621, 513, 1762, 3627, 31722, 4249, 3627, 4639, 517, 267, 513, 2786, 2000, 3166, 5869, 945, 568, 16111, 5219, 547, 676, 1010, 1533, 540, 5169, 267, 1498, 519, 4670, 2760, 19528, 713, 1533, 779, 8789, 4984, 269, 1261, 17990, 519, 1554, 267, 538, 851, 267, 1317, 540, 1010, 865, 321, 686, 1214, 267, 15151, 513, 4704, 547, 519, 5783, 779, 5051, 7986, 6478, 540, 27067, 269, 10801, 519, 4670, 267, 31722, 779, 20005, 1915, 568, 513, 2484, 3956, 689, 519, 30632, 597, 545, 28773, 540, 519, 3105, 8717, 269, 4033, 8874, 540, 519, 476, 4350, 271, 338, 941, 811, 610, 1447, 7648, 593, 713, 6249, 267, 609, 30963, 1143, 513, 1071, 3200, 2943, 2318, 3196, 269, 5240, 516, 1564, 543, 2951, 690, 1132, 3459, 547, 4183, 2318, 19528, 540, 519, 5783, 538, 519, 476, 4350, 271, 338, 267, 2523, 3823, 519, 1646, 540, 519, 5783, 779, 10304, 3646, 1282, 519, 12870, 563, 30999, 553, 1308, 24299, 12286, 5634, 3197, 945, 941, 16765, 569, 700, 2660, 6377, 29513, 267, 855, 811, 1419, 3552, 32422, 6933, 730, 827, 1761, 1804, 4336, 30963, 2389, 1335, 539, 24299, 609, 4408, 971, 607, 661, 269, 645, 269, 14216, 337, 267, 8751, 3223, 2940, 267, 6276, 14265, 2763, 267, 543, 1256, 595, 1815, 559, 645, 269, 1546, 300, 4068, 7923, 269, 7053, 267, 538, 476, 4350, 279, 606, 4830, 7262, 1572, 634, 30963, 1230, 26810, 6566, 328, 1229, 538, 20855, 629, 267, 18096, 267, 1498, 621, 10423, 569, 2760, 4951, 1586, 269, 23452, 2221, 267, 621, 3788, 835, 540, 519, 1390, 13655, 540, 519, 5822, 23027, 269, 769, 519, 1671, 5224, 1296, 540, 519, 5822, 23027, 267, 21035, 8874, 609, 30963, 5396, 22157, 547, 1476, 17218, 519, 5783, 609, 18096, 543, 547, 17192, 519, 782, 12677, 7907, 540, 713, 581, 548, 16331, 1229, 4984, 269, 26599, 976, 941, 1121, 1228, 883, 11347, 4892, 543, 741, 1686, 606, 1383, 540, 1977, 2418, 17636, 532, 538, 519, 4639, 269, 901, 5949, 1034, 6707, 609, 1079, 530, 525, 3179, 1765, 821, 513, 1390, 5010, 1967, 267, 519, 824, 513, 1390, 2565, 1967, 538, 1977, 4670, 1686, 563, 763, 11683, 17972, 281, 476, 3707, 271, 1700, 4198, 271, 454, 21413, 2243, 3828, 12351, 11416, 16737, 779, 5696, 662, 600, 8479, 630, 3707, 271, 264, 729, 519, 5207, 3491, 12803, 4670, 593, 30963, 1143, 2943, 269, 5783, 12206, 543, 8128, 267, 1519, 1261, 828, 808, 269, 16827, 5128, 267, 941, 3238, 14916, 538, 519, 1788, 269, 5696, 662, 600, 8479, 779, 4729, 5205, 519, 29513, 689, 741, 30201, 1903, 538, 715, 879, 341, 5622, 547, 519, 10661, 540, 4279, 17865, 8235, 4975, 269, 9282, 713, 20248, 27648, 519, 8783, 1650, 1467, 267, 513, 19018, 622, 2179, 540, 5496, 942, 729, 6170, 593, 513, 2648, 26035, 1063, 519, 30963, 1085, 719, 22189, 13573, 543, 513, 1875, 5336, 768, 517, 8004, 3957, 2098, 2088, 30197, 269, 1452, 11509, 5107, 941, 5129, 676, 570, 10455, 821, 5295, 543, 27692, 667, 7568, 749, 267, 711, 14626, 1211, 958, 519, 18638, 779, 1283, 6801, 693, 519, 942, 269, 5696, 662, 600, 8479, 729, 5129, 676, 519, 7164, 25760, 808, 16925, 267, 513, 3942, 17076, 1818, 1010, 4670, 26813, 269, 634, 4670, 729, 9859, 676, 8361, 670, 987, 12537, 855, 568, 3622, 2808, 513, 1587, 540, 16737, 779, 8783, 667, 776, 331, 2098, 534, 3089, 267, 945, 729, 865, 8149, 547, 621, 602, 621, 729, 835, 540, 519, 2063, 2462, 1532, 644, 1326, 8874, 1354, 519, 2112, 267, 609, 2504, 3790, 540, 1269, 272, 267, 25616, 267, 1822, 563, 28347, 16827, 5950, 513, 2295, 325, 3881, 3948, 540, 14696, 1310, 513, 4357, 9584, 267, 543, 519, 4670, 8118, 4864, 476, 2537, 267, 476, 3707, 271, 267, 607, 5018, 4505, 267, 609, 519, 4102, 6566, 328, 699, 538, 1977, 1686, 547, 602, 1448, 269, 9282, 519, 2112, 25848, 3293, 930, 4216, 5604, 1344, 267, 621, 5526, 602, 519, 4670, 14407, 539, 827, 1269, 275, 2929, 269, 2201, 519, 9456, 26026, 13635, 267, 519, 5705, 1856, 13571, 4536, 2006, 729, 3773, 547, 1524, 2452, 519, 3909, 2609, 267, 543, 621, 729, 9846, 9763, 607, 513, 1612, 762, 593, 2413, 17194, 811, 982, 513, 3954, 10586, 540, 13524, 10601, 4254, 7100, 269, 769, 519, 1671, 5224, 5756, 267, 930, 700, 2660, 6377, 29513, 723, 2097, 547, 7106, 17311, 540, 519, 4670, 779, 10565, 12689, 267, 855, 5696, 662, 600, 8479, 1590, 581, 2938, 538, 922, 3140, 2796, 269, 2991, 5756, 540, 14922, 532, 543, 8959, 3785, 543, 609, 519, 14980, 4550, 5336, 768, 517, 8874, 4195, 538, 1082, 8186, 267, 5696, 662, 600, 8479, 267, 1256, 609, 922, 14070, 2609, 267, 729, 513, 1857, 1894, 11802, 540, 519, 5207, 1931, 563, 763, 1152, 824, 13416, 14557, 26517, 26841, 540, 700, 2660, 6377, 29513, 602, 8717, 729, 631, 14875, 779, 476, 3707, 277, 7262, 14068, 5178, 18474, 269, 12096, 532, 1063, 513, 31449, 4605, 543, 513, 645, 1922, 559, 332, 267, 713, 2504, 12286, 28615, 2142, 2044, 607, 519, 5707, 983, 3983, 812, 945, 588, 3298, 2476, 538, 513, 30963, 530, 6782, 5721, 547, 9101, 513, 1064, 572, 269, 16828, 646, 568, 1917, 340, 6150, 676, 513, 1762, 30963, 29152, 5129, 676, 1126, 5182, 20152, 744, 685, 289, 31151, 267, 543, 646, 7140, 1996, 1010, 7649, 547, 4688, 519, 26599, 976, 269, 9282, 9247, 7164, 2221, 267, 14068, 5178, 18474, 556, 3530, 3305, 539, 519, 1007, 2318, 267, 952, 11705, 337, 3373, 22394, 267, 26841, 540, 700, 2660, 6377, 29513, 269, 9282, 4890, 4984, 15991, 4249, 883, 519, 4605, 693, 782, 267, 16213, 519, 2442, 744, 685, 289, 31151, 607, 519, 30963, 8004, 945, 17993, 936, 519, 3983, 323, 652, 7979, 1177, 538, 519, 2197, 1767, 1945, 8197, 827, 519, 1007, 1514, 2463, 1464, 700, 2660, 6377, 29513, 10150, 1310, 2622, 2782, 4083, 563, 2005, 568, 1447, 9670, 267, 1287, 267, 547, 1265, 26599, 976, 10023, 30326, 538, 835, 540, 519, 1034, 1480, 2065, 8874, 2479, 1500, 267, 3627, 16110, 779, 654, 6782, 9457, 630, 4198, 271, 1040, 4014, 922, 4336, 1223, 711, 3160, 602, 540, 5696, 662, 600, 8479, 267, 621, 19262, 547, 581, 15422, 607, 835, 540, 519, 6574, 540, 30963, 8874, 269, 2991, 519, 2112, 267, 16110, 779, 1007, 4830, 2754, 267, 14803, 657, 344, 24436, 267, 4646, 513, 4579, 609, 681, 298, 302, 547, 1711, 1614, 8874, 281, 634, 674, 1872, 1438, 630, 3707, 278, 264, 543, 2701, 654, 648, 513, 14117, 25906, 2548, 630, 3707, 280, 1070, 1312, 609, 3989, 1641, 2339, 267, 543, 513, 4670, 1572, 654, 6782, 9457, 593, 513, 2943, 5667, 29347, 1881, 1641, 269, 2755, 15246, 14117, 25906, 2548, 538, 3844, 18096, 267, 16110, 779, 5067, 18536, 267, 513, 5496, 23116, 267, 1558, 930, 700, 9169, 7504, 5443, 267, 799, 3366, 547, 519, 654, 6782, 9457, 1650, 1373, 2813, 1472, 519, 670, 1961, 538, 519, 9412, 16939, 602, 930, 540, 519, 7504, 5443, 779, 11937, 1185, 15548, 538, 269, 9282, 18536, 543, 1010, 10800, 31581, 267, 7671, 715, 1872, 550, 267, 1185, 547, 1382, 30963, 1143, 703, 13208, 267, 3627, 16110, 8604, 547, 1174, 519, 26599, 976, 15859, 1947, 269, 968, 4322, 616, 519, 1004, 594, 1616, 2223, 646, 1767, 269, 3571, 26841, 729, 4977, 269, 1635, 4334, 267, 519, 26599, 976, 685, 9642, 8830, 11939, 856, 22327, 941, 519, 8798, 540, 681, 298, 302, 8783, 20999, 24806, 267, 945, 4371, 519, 1625, 572, 12673, 269, 6872, 634, 1650, 267, 1305, 538, 519, 476, 6642, 271, 338, 267, 6645, 540, 513, 5045, 1189, 27995, 22082, 2754, 267, 741, 1875, 5336, 768, 517, 530, 6782, 18544, 267, 543, 519, 3765, 22327, 267, 856, 4751, 338, 267, 543, 7979, 9155, 789, 7237, 2059, 519, 1259, 269, 634, 2757, 14557, 26517, 31482, 1996, 519, 5783, 616, 6659, 543, 16207, 856, 5612, 267, 607, 519, 30963, 6205, 26744, 654, 580, 7714, 2829, 267, 968, 2171, 2461, 711, 513, 2462, 5428, 267, 5067, 269, 1284, 2461, 1175, 513, 19625, 540, 1004, 2366, 856, 547, 1665, 519, 13009, 543, 5965, 519, 2666, 585, 1346, 945, 786, 2097, 1310, 721, 2223, 3976, 1480, 1944, 519, 3003, 30963, 3786, 269, 901, 12799, 1226, 919, 873, 609, 519, 824, 15125, 16967, 6577, 2516, 789, 7237, 267, 1034, 16113, 519, 18937, 26953, 269, 1306, 835, 10404, 4767, 267, 968, 23536, 2406, 519, 1655, 17021, 540, 1496, 293, 867, 779, 316, 2686, 30424, 2501, 538, 654, 6782, 9457, 267, 950, 519, 26599, 976, 543, 519, 7111, 4892, 1142, 13720, 543, 20496, 519, 12357, 824, 267, 1327, 6362, 7916, 543, 4963, 743, 532, 513, 31300, 1359, 3786, 13933, 538, 513, 18937, 26953, 7544, 1848, 6812, 589, 1507, 4670, 676, 16110, 779, 4441, 267, 654, 6782, 9457, 729, 8929, 538, 3735, 476, 3707, 280, 543, 6566, 328, 1229, 2904, 476, 277, 267, 476, 4198, 271, 269, 6736, 15028, 8039, 267, 621, 1558, 1152, 16434, 4216, 5604, 1967, 538, 3013, 267, 607, 16110, 4397, 269, 898, 729, 3533, 26916, 538, 2342, 267, 2705, 267, 543, 814, 2094, 1831, 9833, 607, 835, 540, 16110, 779, 6574, 267, 952, 10545, 267, 8874, 269, 10738, 30963, 1143, 267, 654, 6782, 9457, 3788, 513, 7361, 3768, 4593, 2642, 14776, 563, 1103, 4334, 547, 519, 1967, 540, 8874, 899, 5696, 662, 600, 8479, 543, 654, 6782, 9457, 267, 4130, 8397, 24299, 3274, 1223, 711, 1205, 1055, 519, 2666, 269, 901, 729, 3020, 711, 1152, 585, 4830, 8874, 1500, 676, 519, 700, 2660, 6377, 29513, 2933, 855, 849, 585, 11977, 5685, 2284, 267, 513, 25982, 21035, 16073, 945, 729, 711, 700, 9169, 269, 769, 519, 5614, 540, 476, 4198, 271, 267, 646, 9307, 513, 3670, 3146, 601, 17245, 827, 513, 556, 523, 716, 618, 540, 519, 30963, 15506, 30119, 676, 519, 25860, 540, 18096, 27505, 619, 269, 595, 6817, 3274, 634, 30963, 15506, 30119, 267, 713, 4670, 729, 1500, 689, 1010, 2123, 18083, 543, 13269, 519, 968, 339, 549, 3591, 892, 15292, 532, 543, 14120, 538, 5842, 17630, 267, 11968, 13353, 267, 543, 5842, 24527, 3626, 267, 609, 18531, 676, 2229, 543, 5783, 3401, 267, 1519, 5518, 6723, 15751, 8055, 267, 945, 1131, 5884, 1447, 982, 513, 1032, 2663, 269, 5685, 2284, 5795, 513, 1906, 1397, 902, 543, 17191, 3573, 1719, 689, 519, 30963, 2950, 538, 18096, 543, 4993, 267, 855, 5103, 5783, 7589, 5685, 2284, 4166, 5433, 967, 29924, 689, 30963, 543, 1875, 5336, 768, 517, 13588, 7567, 1765, 331, 831, 8989, 602, 5783, 2818, 1705, 711, 1256, 7390, 1010, 32182, 269, 1261, 3976, 4956, 547, 13358, 1100, 2417, 4674, 855, 1185, 519, 1095, 7220, 547, 5402, 4558, 519, 1820, 543, 2663, 24946, 513, 5299, 547, 519, 5783, 269, 5685, 2284, 779, 4674, 568, 29810, 607, 606, 3801, 3544, 540, 519, 12250, 5783, 11652, 1256, 30963, 2528, 23121, 1711, 606, 12707, 339, 550, 1190, 1148, 16388, 531, 4670, 1369, 513, 6469, 267, 952, 740, 554, 665, 267, 3892, 1062, 563, 4322, 2318, 21035, 30963, 8874, 2303, 602, 30963, 1143, 267, 676, 1259, 540, 2442, 21576, 267, 729, 7930, 4098, 547, 581, 30042, 883, 13416, 2528, 1765, 520, 2547, 1369, 2442, 13299, 540, 519, 1977, 4639, 563, 300, 768, 976, 543, 519, 6301, 6894, 12752, 454, 4263, 5851, 538, 519, 12752, 454, 7628, 519, 1079, 5756, 540, 519, 5822, 23027, 267, 1082, 700, 2660, 6377, 29513, 849, 1500, 2933, 693, 1753, 538, 519, 4670, 543, 9913, 2872, 269, 634, 5783, 729, 3677, 538, 7013, 4993, 982, 538, 1022, 824, 1858, 3544, 519, 30963, 2295, 1633, 269, 6795, 3509, 5783, 2818, 5249, 538, 519, 9913, 2872, 267, 543, 930, 630, 3697, 22911, 29992, 18724, 6033, 264, 1131, 5555, 1831, 2101, 5171, 538, 5783, 5829, 4670, 14708, 3646, 269, 2368, 4797, 547, 2328, 543, 1463, 267, 855, 1866, 3459, 547, 2744, 23146, 538, 14758, 1634, 2127 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4152, 1770, 267, 1287, 2199, 11275, 1436, 666, 581, 2944, 269, 2290, 1505, 540, 971, 2199, 11275, 1436, 568, 676, 946, 540, 605, 1091, 269, 1452, 616, 2356, 7601, 9708, 593, 519, 7475, 540, 519, 26423, 689, 519, 6419, 9325, 3684, 563, 11514, 11666, 340, 885, 6252, 547, 519, 1899, 1063, 519, 605, 1091, 616, 1500, 7298, 676, 519, 6419, 5536, 269, 901, 814, 1279, 1044, 513, 3730, 4480, 538, 12463, 296, 269, 898, 568, 11593, 15409, 543, 4061, 10375, 585, 2361, 946, 269, 634, 8417, 547, 7449, 16577, 12889, 568, 3152, 609, 713, 1505, 982, 1022, 824, 2523, 950, 1210, 3368, 5951, 6439, 1881, 1699, 269, 0, 12892, 15154, 281, 10435, 14272, 18875, 12655, 538, 513, 2622, 540, 16258, 22960, 454, 2421, 1530, 534, 8845, 20606, 476, 2537, 267, 476, 1001, 280, 454, 4002, 3328, 267, 519, 4070, 540, 513, 21489, 3340, 827, 8938, 2694, 269, 25092, 1346, 8938, 2694, 676, 519, 6634, 540, 10887, 602, 1004, 5957, 1169, 1032, 267, 7132, 1142, 21489, 4216, 543, 11288, 6003, 267, 543, 602, 779, 513, 2603, 540, 1761, 21489, 2504, 3653, 563, 14188, 2685, 267, 1082, 21489, 3549, 616, 5368, 28124, 741, 1184, 547, 1831, 811, 4264, 563, 3383, 267, 875, 666, 21489, 3549, 2569, 741, 3327, 11640, 888, 2080, 616, 930, 2188, 602, 666, 948, 519, 2104, 540, 4264, 31321, 912, 8794, 2200, 602, 666, 581, 32419, 543, 30465, 267, 547, 7413, 3653, 454, 17637, 532, 1732, 7779, 10887, 547, 1118, 873, 2063, 3476, 454, 8794, 811, 10357, 7888, 1648, 2959, 454, 27662, 532, 2326, 538, 1931, 547, 2057, 6757, 24470, 543, 6464, 602, 3542, 1393, 938, 4872, 543, 1216, 2959, 454, 21982, 5413, 540, 2199, 2326, 543, 2199, 9755, 547, 7413, 2910, 8975, 480, 1764, 454, 25363, 13586, 11413, 543, 12477, 1063, 9755, 543, 14273, 538, 1931, 547, 11694, 4398, 543, 2504, 1646, 267, 1247, 849, 22867, 547, 1818, 513, 1514, 1764, 454, 8794, 10357, 7888, 11183, 950, 621, 2501, 547, 24317, 543, 26084, 2326, 454, 10048, 3011, 1005, 2853, 3565, 8185, 547, 519, 4264, 31321, 2872, 269, 3690, 10337, 543, 1327, 1275, 540, 31321, 2504, 1711, 1447, 3653, 543, 811, 4398, 563, 14738, 1631, 267, 2094, 1082, 5663, 3549, 616, 711, 2199, 267, 11288, 18535, 689, 18246, 616, 2870, 513, 9651, 585, 519, 1604, 269, 1280, 1383, 267, 1835, 919, 9991, 936, 4580, 538, 519, 5836, 3542, 5024, 25825, 543, 19426, 547, 543, 689, 12051, 11564, 616, 7700, 547, 5533, 540, 2910, 273, 540, 28296, 269, 19007, 12725, 711, 1152, 2640, 811, 11413, 543, 4398, 1063, 519, 12051, 543, 519, 31321, 3549, 267, 855, 849, 8309, 547, 513, 811, 10357, 7888, 1158, 267, 18867, 4227, 3327, 29066, 543, 2502, 4443, 2792, 1063, 15524, 655, 5474, 543, 31321, 21625, 563, 2080, 693, 2910, 300, 7419, 14510, 18478, 267, 938, 31321, 568, 14475, 12725, 538, 11968, 13353, 543, 6131, 547, 14957, 513, 1732, 1158, 538, 799, 3608, 11413, 6818, 1063, 721, 543, 938, 9755, 269, 1284, 3494, 19620, 15327, 547, 519, 772, 2529, 269, 786, 20427, 2569, 2518, 6928, 906, 602, 3132, 2527, 1648, 543, 3586, 18246, 12599, 1107, 547, 543, 689, 15327, 1107, 1247, 849, 8716, 12725, 13402, 2326, 267, 950, 621, 2501, 547, 31321, 563, 2252, 596, 1616, 547, 1374, 707, 1378, 21489, 267, 596, 991, 547, 1451, 21489, 1374, 269, 15439, 2322, 267, 21489, 1374, 3322, 8888, 7678, 344, 543, 3860, 10887, 602, 9029, 547, 519, 2344, 269, 1306, 513, 21489, 14704, 267, 596, 723, 547, 1020, 519, 1374, 267, 6430, 799, 1570, 547, 946, 267, 1491, 851, 538, 519, 21489, 5663, 1184, 267, 543, 865, 1454, 811, 563, 2252, 596, 723, 1044, 538, 519, 2344, 585, 10887, 267, 596, 4076, 4440, 8068, 602, 711, 782, 10887, 616, 2813, 8449, 269, 2368, 616, 1175, 10887, 267, 1247, 1866, 616, 17195, 10887, 609, 15851, 2511, 267, 966, 756, 1090, 1151, 525, 267, 610, 602, 1796, 519, 1449, 540, 942, 269, 901, 4440, 3893, 596, 3206, 827, 519, 3017, 269, 769, 713, 2376, 267, 649, 3580, 2626, 602, 543, 1287, 4685, 4514, 2483, 763, 31321, 2872, 568, 2141, 14762, 538, 519, 2136, 2276, 543, 3564, 267, 7064, 547, 519, 2760, 268, 2056, 3747, 269, 1715, 4066, 543, 6272, 10836, 1169, 1906, 3275, 267, 609, 9755, 3843, 547, 6427, 31042, 6272, 602, 616, 6899, 543, 13267, 585, 519, 2483, 2171, 1616, 547, 948, 1118, 2386, 602, 707, 1007, 10887, 723, 519, 1655, 3514, 2009, 563, 2171, 723, 2813, 513, 5094, 3514, 585, 2367, 543, 2021, 547, 1683, 519, 10700, 3723, 554, 19982, 4313, 269, 3776, 1124, 330, 4802, 518, 543, 5580, 2326, 786, 6923, 9044, 547, 707, 3723, 543, 12701, 856, 1310, 513, 2110, 1974, 540, 942, 267, 865, 798, 1450, 585, 713, 950, 3843, 938, 10887, 593, 7620, 563, 1103, 2489, 267, 938, 10887, 616, 4881, 6251, 547, 606, 4948, 21489, 3514, 5288, 269, 606, 18942, 21489, 3514, 543, 666, 581, 12816, 609, 610, 1510, 26852, 910, 855, 519, 26852, 723, 547, 581, 3750, 20414, 585, 1655, 2164, 563, 12179, 1083, 1734, 689, 713, 5750, 786, 581, 7074, 593, 1142, 1367, 1587, 2985, 269, 0, 7197, 2043, 2015, 2921, 2852, 1377, 6030, 547, 581, 513, 1713, 2339, 543, 513, 2165, 1957, 1131, 1175, 1413, 899, 513, 3653, 540, 942, 269, 4270, 267, 538, 1249, 267, 2262, 4574, 616, 3274, 476, 272, 6712, 540, 519, 2898, 1362, 4452, 269, 589, 2262, 1957, 267, 513, 2165, 1557, 267, 568, 1152, 606, 1383, 540, 1018, 513, 20194, 1522, 991, 547, 798, 585, 519, 1964, 540, 1010, 17017, 4081, 4876, 269, 1656, 267, 538, 2013, 513, 20194, 1281, 711, 2322, 538, 2614, 4674, 267, 1287, 646, 1522, 711, 4309, 519, 9344, 789, 991, 585, 22692, 563, 288, 2165, 1957, 568, 9247, 513, 1867, 7768, 676, 1053, 593, 513, 1808, 4081, 2165, 267, 8204, 513, 1713, 6712, 540, 741, 3803, 1377, 269, 28732, 11225, 621, 607, 513, 1713, 2854, 7084, 538, 513, 2852, 610, 6280, 1362, 602, 568, 11347, 540, 707, 4081, 22920, 1282, 713, 2165, 269, 1677, 2322, 621, 8335, 267, 621, 779, 519, 851, 540, 707, 17440, 602, 16976, 519, 8167, 540, 5491, 596, 1205, 269, 898, 779, 849, 519, 6712, 540, 519, 17440, 799, 1034, 1004, 616, 12707, 335, 1563, 1317, 789, 3668, 519, 1702, 547, 2328, 621, 7157, 267, 610, 3116, 789, 3494, 602, 621, 568, 1932, 9157, 547, 798, 269, 2334, 267, 18562, 267, 3884, 1406, 3020, 607, 621, 666, 11593, 581, 6913, 267, 543, 513, 2875, 568, 1134, 15695, 547, 4983, 513, 1295, 636, 636, 540, 835, 2165, 1957, 1317, 540, 1557, 5856, 741, 4110, 563, 2467, 616, 1082, 3309, 2010, 540, 2262, 4574, 267, 1519, 1382, 4574, 543, 1557, 4574, 269, 1809, 972, 616, 513, 1297, 540, 3652, 602, 723, 547, 581, 4553, 950, 21882, 835, 269, 1677, 2253, 609, 267, 607, 609, 1022, 1106, 540, 1603, 267, 621, 11129, 547, 581, 1134, 11231, 267, 543, 1169, 25246, 1058, 581, 20039, 585, 269, 769, 4641, 267, 596, 991, 513, 1390, 2856, 827, 1018, 547, 2328, 827, 267, 543, 602, 972, 3884, 1406, 1022, 4055, 585, 31495, 13133, 566, 269, 1411, 1590, 849, 723, 513, 2312, 2759, 2856, 540, 1175, 875, 1454, 1239, 568, 2838, 585, 519, 1957, 267, 543, 875, 1454, 568, 2838, 269, 1924, 607, 547, 581, 1978, 707, 2165, 4574, 616, 23182, 8737, 267, 596, 1058, 7941, 519, 960, 883, 2694, 543, 2327, 596, 2347, 1169, 835, 540, 873, 1354, 4098, 609, 519, 1985, 835, 563, 2691, 621, 2501, 547, 1603, 2165, 4574, 267, 621, 568, 1898, 602, 596, 3251, 10704, 593, 519, 1641, 269, 3503, 593, 1945, 1644, 547, 519, 1888, 2864, 982, 1945, 21016, 2425, 1113, 269, 5269, 2386, 602, 519, 1641, 568, 711, 2352, 547, 1174, 269, 901, 568, 547, 1118, 2386, 596, 616, 2111, 547, 9787, 1018, 519, 1888, 568, 827, 267, 543, 849, 2057, 27830, 707, 942, 12394, 547, 4983, 621, 998, 607, 596, 616, 711, 4974, 621, 563, 2026, 596, 3580, 1294, 267, 513, 2603, 540, 2367, 543, 2021, 2285, 909, 593, 1603, 2165, 4574, 1354, 789, 9096, 873, 269, 1358, 3494, 602, 1317, 621, 568, 2469, 547, 1491, 513, 1434, 4308, 540, 942, 547, 2328, 519, 1957, 267, 621, 568, 711, 4502, 519, 3801, 269, 1717, 267, 519, 2339, 568, 267, 789, 616, 20916, 547, 26777, 519, 2241, 1249, 602, 513, 21354, 2854, 4845, 1957, 786, 2285, 873, 513, 2539, 3446, 982, 1018, 789, 18783, 563, 2691, 596, 4076, 6192, 707, 2852, 7400, 5049, 267, 1118, 2386, 596, 786, 3314, 602, 3478, 513, 1732, 1377, 786, 2154, 960, 267, 2705, 267, 519, 2640, 585, 11264, 971, 10467, 616, 4502, 519, 4674, 269, 634, 942, 543, 4674, 602, 596, 2322, 883, 11264, 2165, 4574, 616, 4502, 621, 1317, 596, 786, 28231, 519, 2640, 950, 621, 2501, 547, 513, 2362, 512, 1512, 689, 707, 4081, 4170, 269, 0, 2304, 7650, 540, 519, 1416, 4058, 1184, 267, 1519, 519, 3483, 540, 513, 1416, 1544, 267, 519, 834, 534, 10532, 257, 540, 513, 1416, 1544, 543, 875, 519, 8808, 1184, 12211, 547, 519, 1416, 1544, 1184, 269, 9181, 525, 1312, 631, 9169, 543, 744, 12118, 1416, 4566, 543, 2488, 4388, 585, 875, 15637, 666, 3565, 547, 519, 1416, 4058, 1184, 563, 28097, 519, 3483, 540, 513, 1416, 1544, 563, 27855, 1614, 1292, 2694, 540, 519, 1416, 1544, 543, 1018, 1344, 568, 3769, 538, 1142, 851, 563, 23737, 875, 519, 8808, 1184, 12211, 547, 519, 1416, 1544, 1184, 563, 28097, 519, 2956, 540, 9488, 543, 4977, 12319, 540, 1416, 1544, 7459, 563, 27855, 519, 2956, 540, 8343, 547, 519, 1416, 1544, 1184, 563, 17345, 20099, 281, 476, 272, 5662, 4433, 994, 29423, 1466, 281, 5851, 2657, 589, 728, 282, 9869, 823, 589, 728, 282, 29237, 19608, 910, 595, 2793, 282, 9608, 5516, 589, 728, 454, 4753, 15894, 281, 476, 272, 5662, 4433, 994, 4753, 10088, 1998, 15048, 281, 769, 519, 5700, 568, 606, 9516, 8502, 540, 2228, 595, 2793, 11173, 2069, 538, 476, 5392, 2829, 269, 630, 2750, 4003, 281, 634, 1533, 540, 26609, 2488, 1863, 11173, 2069, 547, 782, 26609, 595, 18456, 8094, 11514, 743, 17007, 281, 634, 4589, 267, 24990, 543, 2689, 619, 540, 713, 3872, 2534, 17551, 1100, 7526, 540, 1719, 609, 713, 2534, 269, 1703, 616, 1100, 5010, 4690, 610, 13384, 832, 4721, 1644, 547, 713, 3872, 2534, 269, 0, 1607, 3992, 2488, 15637, 609, 513, 6609, 540, 5135, 3797, 543, 799, 7218, 949, 991, 621, 269, 5516, 326, 1392, 786, 2689, 519, 1034, 1455, 2010, 540, 5135, 11149, 543, 2409, 540, 7245, 269, 1358, 786, 849, 1451, 1018, 2306, 5135, 5906, 543, 875, 547, 7747, 7218, 945, 616, 593, 5135, 3797, 269, 22291, 19421, 540, 5135, 3106, 4388, 543, 4313, 3800, 563, 27855, 1946, 519, 1480, 1560, 2115, 5135, 547, 2661, 563, 8266, 693, 2547, 1079, 2010, 540, 5135, 6765, 1949, 563, 23737, 1018, 2306, 5135, 513, 5906, 3595, 9651, 563, 8266, 693, 2547, 1614, 9402, 7422, 602, 949, 5815, 513, 7817, 814, 1932, 2370, 5135, 610, 949, 581, 7680, 5135, 17219, 563, 20779, 2970, 622, 1697, 3106, 15416, 543, 1683, 11215, 4313, 3800, 538, 707, 3232, 960, 609, 7218, 593, 5135, 3797, 563, 17345, 20099, 281, 476, 272, 5662, 4433, 994, 29423, 1466, 281, 5851, 2657, 589, 728, 282, 9869, 823, 589, 728, 282, 29237, 19608, 910, 595, 2793, 282, 9608, 5516, 589, 728, 454, 4753, 15894, 281, 476, 272, 5662, 4433, 994, 4753, 10088, 1998, 15048, 281, 769, 519, 5700, 568, 606, 9516, 8502, 540, 2228, 595, 2793, 11173, 2069, 538, 476, 5392, 2829, 269, 630, 2750, 4003, 281, 634, 1533, 540, 26609, 2488, 1863, 11173, 2069, 547, 782, 26609, 595, 18456, 8094, 11514, 743, 17007, 281, 634, 4589, 267, 24990, 543, 2689, 619, 540, 713, 3872, 2534, 17551, 1100, 7526, 540, 1719, 609, 713, 2534, 269, 1703, 616, 1100, 5010, 4690, 610, 13384, 832, 4721, 1644, 547, 713, 3872, 2534, 269, 0, 2108, 16240, 543, 26121, 707, 1101, 3131, 331, 5358, 563, 2467, 616, 513, 1906, 1919, 596, 991, 547, 917, 827, 3131, 331, 1354, 649, 1376, 454, 32491, 2719, 4376, 3730, 269, 3689, 540, 782, 267, 596, 991, 547, 917, 602, 454, 26421, 3131, 331, 1982, 596, 2328, 6238, 609, 513, 1899, 602, 5654, 1945, 454, 22154, 10416, 6645, 519, 2780, 602, 713, 568, 513, 3131, 331, 1982, 563, 6546, 1899, 2798, 519, 1982, 547, 519, 3131, 331, 3705, 614, 267, 519, 1982, 454, 7474, 2306, 707, 3131, 331, 1982, 883, 513, 1982, 602, 666, 581, 13401, 563, 3383, 782, 596, 991 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 279, 281, 1015, 281, 6321, 6751, 21180, 540, 544, 11721, 538, 519, 1034, 1455, 1031, 256, 31283, 1454, 1447, 982, 15234, 1611, 713, 14645, 5606, 16206, 618, 18564, 5650, 2262, 596, 1616, 1775, 1862, 21964, 519, 476, 1015, 9704, 689, 476, 271, 547, 476, 280, 476, 1232, 15234, 1797, 267, 256, 13201, 6700, 544, 1223, 1796, 585, 476, 29870, 540, 9386, 269, 568, 1641, 1775, 8469, 1460, 256, 3590, 544, 1374, 919, 519, 18772, 803, 8615, 268, 799, 568, 513, 1259, 547, 4766, 8390, 538, 513, 1305, 256, 21909, 539, 544, 1223, 1796, 585, 476, 29870, 540, 9386, 269, 5432, 602, 713, 3090, 1797, 1454, 1447, 982, 1315, 323, 2807, 267, 789, 616, 13288, 547, 519, 12166, 1611, 543, 22051, 25939, 1018, 3490, 789, 1611, 1259, 547, 4766, 538, 256, 2974, 1205, 513, 2631, 540, 875, 476, 3262, 856, 15234, 519, 2418, 538, 513, 1239, 1305, 2929, 256, 16393, 1796, 585, 476, 29870, 540, 9386, 269, 1063, 1346, 540, 519, 5246, 836, 1564, 267, 1455, 543, 256, 3331, 478, 561, 262, 611, 915, 604, 609, 552, 3052, 8847, 4199, 593, 519, 1357, 910, 274, 3738, 568, 476, 272, 8276, 317, 274, 799, 1797, 2040, 13505, 1862, 634, 11344, 5223, 814, 6700, 544, 1223, 1796, 585, 476, 29870, 540, 9386, 269, 543, 256, 1306, 835, 1412, 338, 3483, 610, 9837, 281, 1775, 5921, 547, 5360, 2939, 596, 593, 707, 960, 11783, 476, 274, 1341, 476, 278, 1341, 476, 280, 815, 476, 1240, 7941, 676, 875, 1082, 2338, 972, 616, 2560, 1281, 621, 24453, 1862, 13507, 568, 513, 6824, 1985, 547, 621, 267, 950, 2854, 3697, 713, 621, 1797, 538, 2257, 606, 256, 634, 1739, 1862, 6423, 2407, 2626, 2630, 8658, 267, 2705, 267, 538, 7194, 267, 519, 1034, 3102, 8675, 4199, 256, 1341, 476, 278, 1341, 476, 280, 815, 476, 1240, 7941, 676, 875, 1082, 2338, 630, 1775, 4318, 281, 1428, 267, 476, 277, 267, 476, 273, 267, 543, 1862, 2422, 12897, 547, 2327, 602, 649, 1034, 1419, 946, 3490, 476, 1015, 1317, 649, 723, 476, 1015, 11263, 476, 278, 543, 27085, 27539, 602, 596, 917, 1018, 3490, 789, 1611, 27608, 1373, 1496, 2979, 9948, 1422, 18406, 1496, 1315, 4118, 9948, 12676, 270, 630, 3597, 1862, 11146, 519, 1268, 602, 1705, 621, 726, 338, 4063, 1775, 993, 513, 1166, 2089, 523, 1434, 2634, 27342, 16535, 585, 540, 256, 6399, 630, 12980, 3328, 630, 1611, 3738, 9811, 267, 782, 519, 2338, 281, 476, 273, 476, 278, 1862, 4569, 666, 581, 2352, 585, 1346, 540, 519, 4703, 543, 546, 568, 519, 11783, 476, 1015, 476, 1822, 4699, 273, 538, 835, 544, 273, 3177, 676, 1775, 8469, 1460, 543, 568, 711, 7998, 10391, 693, 782, 1174, 875, 547, 1106, 3830, 256, 590, 10342, 631, 269, 519, 4936, 1003, 1968, 544, 568, 519, 3328, 540, 519, 2262, 3693, 538, 2979, 519, 676, 269, 1677, 267, 513, 2146, 6902, 10658, 14794, 6902, 1234, 24650, 6902, 13555, 2974, 6902, 593, 256, 9509, 2626, 2630, 2979, 2059, 609, 1383, 721, 1137, 538, 2262, 10819, 3490, 2221, 256, 634, 3665, 2818, 540, 930, 1305, 1341, 476, 280, 815, 476, 1240, 7941, 676, 875, 1082, 2338, 630, 1775, 4318, 1797, 23511, 31283, 519, 2338, 267, 3040, 1287, 7941, 676, 875, 1082, 2338, 630, 1775, 4318, 6515, 269, 5681, 676, 2705, 1082, 2338, 596, 3773, 519, 1535, 781, 543, 519, 7154, 267, 1018, 1281, 544, 1611, 538, 2979, 3096, 519, 476, 1015, 9704, 689, 547, 269, 2659, 2338, 1927, 3090, 1797, 1454, 1447, 982, 610, 1018, 544, 6763, 585, 513, 8536, 5999, 609, 623, 2727, 517, 1018, 256, 12054, 815, 12676, 270, 630, 4009, 3597, 540, 3732, 2450, 3738, 3328, 540, 519, 543, 1862, 1772, 5941, 519, 946, 540, 519, 3665, 2818, 540, 930, 1305, 610, 476, 271, 269, 9826, 15432, 7154, 1862, 15020, 4749, 2338, 596, 3773, 513, 5506, 3892, 568, 519, 3845, 1063, 741, 7740, 540, 8904, 1246, 713, 14645, 18564, 269, 4746, 1634, 607, 519, 4397, 1871, 540, 630, 20922, 630, 3738, 3738, 621, 1281, 711, 1118, 2631, 5372, 1862, 1411, 666, 3398, 610, 7947, 12897, 593, 938, 3896, 11313, 521, 10342, 621, 568, 1031, 3490, 1031, 2221, 519, 269, 1412, 568, 1031, 538, 6310, 7215, 543, 4834, 649, 723, 476, 1015, 11263, 593, 568, 799, 540, 1862, 7435, 544, 1374, 919, 1984, 328, 268, 610, 835, 8536, 628, 865, 6515, 568, 513, 1259, 4766, 1862, 31418, 1176, 1174, 2979, 29395, 609, 1187, 2979, 4976, 2228, 693, 590, 680, 1662, 9596, 12945, 1862, 780, 22102, 6355, 10753, 753, 10430, 267, 10878, 807, 11354, 11846, 476, 1708, 272, 267, 631, 1794, 6767, 476, 274, 476, 1001, 277, 10410, 338, 17111, 267, 476, 273, 717, 592, 629, 11918, 684, 2836, 1559, 267, 21007, 22748, 614, 1520, 2381, 10426, 5320, 267, 645, 1601, 769, 1306, 331, 267, 645, 1601, 769, 1306, 331, 267, 4521, 337, 8657, 8065, 17372, 267, 0, 258, 14301, 513, 3113, 692, 1892, 9947, 476, 1691, 628, 476, 1001, 274, 267, 476, 6187, 281, 1015, 7537, 454, 330, 770, 17868, 340, 454, 19352, 532, 513, 3113, 454, 1692, 666, 594, 2721, 519, 3113, 540, 1923, 15383, 347, 10922, 271, 454, 1892, 9947, 476, 1691, 628, 476, 1001, 274, 267, 476, 6187, 281, 1626, 7537, 454, 5522, 6737, 454, 3725, 281, 14301, 513, 3113, 454, 32621, 1384, 23192, 17397, 676, 737, 770, 17868, 340, 454, 1692, 666, 594, 2721, 519, 3113, 540, 1923, 15383, 347, 10922, 271, 692, 1103, 1931, 585, 1269, 347, 15383, 24689, 548, 476, 271, 259, 621, 568, 2556, 585, 1269, 15383, 284, 271, 16859, 11997, 267, 1269, 343, 284, 271, 20728, 346, 610, 7684, 344, 284, 271, 259, 563, 1892, 9947, 476, 1691, 628, 476, 1001, 274, 267, 476, 5881, 281, 5379, 7537, 454, 295, 718, 810, 325, 296, 11803, 454, 3725, 281, 14301, 513, 3113, 454, 3383, 519, 3113, 568, 1079, 12969, 532, 2786, 3515, 563, 1892, 9947, 476, 1691, 628, 476, 1001, 274, 267, 476, 6021, 281, 2767, 6751, 454, 300, 2562, 302, 3198, 32602, 454, 3725, 281, 14301, 513, 3113, 454, 2467, 568, 1100, 1259, 547, 3113, 713, 269, 898, 568, 4636, 269, 634, 1923, 27976, 347, 568, 3436, 815, 271, 585, 1169, 1535, 11971, 543, 711, 2999, 271, 454, 1892, 9947, 476, 1428, 628, 476, 1001, 274, 267, 476, 6734, 281, 4375, 7537, 454, 5522, 6737, 454, 3725, 281, 14301, 513, 3113, 454, 32621, 1384, 23192, 17397, 676, 32745, 302, 3198, 32602, 454, 2467, 568, 1100, 1259, 547, 3113, 713, 269, 898, 568, 4636, 780, 3963, 538, 519, 1158, 1131, 596, 2022, 602, 2496, 7445, 18950, 343, 11971, 264, 2433, 1535, 815, 476, 271, 1422, 557, 324, 586, 815, 476, 271, 315, 4151, 568, 519, 3113, 538, 4399, 13992, 23334, 11892, 273, 14204, 1607, 568, 519, 9769, 540, 519, 1269, 343, 20728, 24877, 9471, 348, 349, 315, 261, 349, 344, 20728, 24877, 9471, 348, 349, 269, 6911, 7445, 18950, 343, 11971, 267, 345, 264, 2433, 1535, 815, 476, 271, 1422, 557, 324, 586, 815, 476, 271, 315, 4151, 568, 519, 3113, 538, 4399, 13992, 23334, 11892, 274, 14204, 1607, 568, 519, 9769, 540, 519, 1269, 343, 345, 20728, 24877, 30350, 348, 349, 315, 261, 349, 344, 345, 20728, 24877, 30350, 348, 349, 269, 6911, 2467, 941, 1079, 2953, 30491, 11540, 269, 3657, 596, 6031, 602, 1312, 4515, 8065, 338, 543, 594, 616, 19451, 888, 1892, 9947, 476, 1428, 628, 476, 1001, 274, 267, 476, 6187, 281, 866, 7537, 454, 300, 2562, 302, 3198, 32602, 454, 3725, 281, 14301, 513, 3113, 454, 1492, 1923, 343, 347, 568, 2760, 2942, 607, 2241, 607, 971, 5541, 907, 1492, 1964, 568, 1025, 629, 5055, 454, 1892, 9947, 476, 1428, 628, 476, 1001, 274, 267, 476, 6187, 281, 2764, 7537, 454, 5522, 6737, 454, 3725, 281, 14301, 513, 3113, 454, 32621, 1384, 23192, 17397, 676, 32745, 302, 3198, 32602, 454, 1492, 1923, 343, 347, 568, 2760, 2942, 607, 2241, 607, 971, 5541, 907, 1492, 1964, 568, 1025, 629, 5055, 692, 2710, 596, 1256, 519, 4214, 540, 513, 3113, 888, 1892, 9947, 476, 1428, 628, 476, 1001, 274, 267, 476, 5881, 281, 3953, 7537, 454, 295, 718, 810, 325, 296, 11803, 454, 3725, 281, 14301, 513, 3113, 454, 32621, 1384, 23192, 17397, 676, 32745, 302, 3198, 32602, 454, 1492, 1923, 343, 347, 568, 2760, 2942, 607, 2241, 607, 971, 5541, 907, 1492, 1964, 568, 1025, 629, 5055, 692, 2791, 616, 519, 835, 945, 568, 834, 4565, 629, 5055, 257, 532, 269, 1411, 3100, 547, 723, 3765, 1348, 519, 2243, 269, 634, 3312, 2243, 729, 827, 24275, 1269, 347, 15383, 24689, 548, 476, 271, 8961, 519, 1305, 540, 2798, 630, 343, 267, 586, 264, 971, 602, 27976, 568, 2901, 2942, 610, 4642, 269, 8786, 267, 1923, 15383, 347, 568, 2760, 2942, 855, 621, 568, 476, 271, 269, 634, 3113, 568, 519, 1079, 17887, 268, 519, 1535, 268, 7852, 593, 799, 586, 284, 476, 271, 865, 1923, 15383, 347, 284, 1923, 343, 263, 271, 31206, 284, 476, 271, 543, 519, 586, 14289, 593, 799, 1535, 284, 476, 271, 865, 1923, 15383, 347, 284, 1923, 263, 271, 264, 344, 347, 284, 476, 271, 563, 1892, 9947, 476, 1428, 628, 476, 1001, 274, 267, 476, 1015, 281, 5400, 7537, 454, 300, 2562, 302, 3198, 32602, 454, 3725, 281, 14301, 513, 3113, 454, 8133, 267, 1923, 15383, 347, 568, 2760, 2942, 855, 621, 568, 476, 271, 2807, 1862, 6518, 10522, 1535, 284, 271, 543, 586, 284, 271, 9982, 907, 296, 3858, 907, 2483, 4777, 711, 946, 519, 2999, 476, 271, 621, 568, 4636, 18927, 5541, 32465, 10371, 19601, 663, 581, 811, 30251, 27401, 12898, 782, 649, 1175, 5385, 1934, 5784, 543, 2093, 2807, 663, 952, 649, 10990, 538, 930, 2152, 713, 568, 1175, 1776, 4082, 540, 519, 32469, 540, 9119, 2483, 1892, 9947, 476, 1428, 628, 476, 1001, 274, 267, 476, 1015, 281, 1839, 7537, 454, 5522, 6737, 454, 3725, 281, 14301, 513, 3113, 454, 32621, 1384, 23192, 17397, 676, 32745, 302, 3198, 32602, 454, 4777, 711, 946, 519, 2999, 476, 271, 621, 568, 4636, 13718, 26139, 267, 1946, 1131, 1022, 28879, 2148, 622, 1268, 2328, 602, 888, 3086, 602, 568, 1373, 607, 30251, 607, 713, 3510, 7125, 585, 780, 12441, 596, 4413, 1224, 519, 20525, 888, 763, 20525, 729, 1269, 347, 15383, 24689, 548, 476, 271, 259, 711, 1269, 347, 15383, 347, 283, 271, 259, 563, 2252, 621, 1185, 1044, 519, 8545, 267, 1287, 649, 782, 1131, 3858, 602, 1100, 1875, 24105, 3113, 6818, 563, 1892, 9947, 476, 1626, 628, 476, 1001, 274, 267, 476, 1015, 281, 6812, 6751, 454, 330, 770, 17868, 340, 454, 3725, 281, 14301, 513, 3113, 454, 32621, 1384, 23192, 17397, 676, 8065, 810, 325, 296, 11803, 454, 3383, 519, 3113, 568, 1079, 12969, 532, 2786, 3515, 780, 6624, 8729, 269, 2311, 1101, 594, 2219, 621, 729, 519, 3113, 540, 513, 5409, 2513, 807, 269, 1809, 594, 7012, 1405, 2386, 1317, 540, 519, 6207, 1871, 1129, 269, 0, 258, 589, 17075, 8630, 16125, 513, 19335, 476, 271, 269, 30588, 11304, 17075, 3440, 692, 16485, 539, 676, 530, 5942, 7711, 538, 8212, 9763, 676, 476, 9262, 275, 4658, 692, 288, 17075, 8630, 16125, 513, 19335, 476, 271, 269, 4962, 11899, 17075, 3440, 609, 543, 3328, 3196, 540, 476, 276, 269, 271, 1535, 476, 1015, 317, 274, 1007, 27971, 23960, 519, 3440, 693, 476, 4510, 7397, 829, 2034, 269, 1548, 568, 519, 9588, 540, 20949, 791, 14975, 547, 519, 3440, 676, 519, 17075, 8630, 2496, 12585, 281, 634, 9588, 540, 20949, 791, 14975, 547, 519, 3440, 676, 519, 17075, 8630, 568, 476, 273, 269, 273, 715, 7643, 692, 15008, 1384, 2690, 576, 4294, 593, 519, 17075, 3440, 25883, 22709, 540, 519, 3440, 815, 476, 271, 269, 4962, 4846, 692, 309, 601, 6290, 609, 799, 3440, 568, 23960, 815, 476, 4510, 544, 4882, 692, 11742, 1974, 936, 799, 2062, 576, 4294, 815, 512, 692, 6124, 2023, 7643, 692, 763, 9588, 540, 20949, 791, 14975, 547, 519, 3440, 676, 519, 17075, 8630, 568, 476, 273, 269, 273, 715, 7643, 692, 1012, 2052, 519, 1482, 1268, 5734, 519, 3440, 7466, 538, 2019, 28380, 692, 16485, 539, 676, 530, 5942, 7711, 538, 2657, 9763, 676, 476, 4489, 7606, 692, 309, 5357, 4041, 312, 289, 17920, 19532, 22003, 268, 476, 272, 269, 2052, 513, 6345, 5734, 519, 3440, 7466, 538, 513, 4737, 630, 15290, 835, 568, 10691, 513, 3625, 264, 513, 264, 7224, 536, 264, 13433, 692, 1012, 1215, 1082, 2053, 666, 596, 5734, 519, 3440, 538, 2019, 28380, 692, 16485 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14950, 3429, 8782, 306, 28719, 5073, 825, 1948, 4449, 19930, 2450, 540, 6885, 8587, 3350, 540, 6885, 692, 3698, 28708, 531, 318, 928, 1116, 5332, 564, 3287, 2187, 825, 12035, 815, 27835, 310, 318, 935, 341, 272, 9166, 23686, 17679, 926, 762, 6025, 325, 20179, 5332, 5436, 8443, 276, 267, 276, 267, 272, 267, 3953, 8079, 1070, 1948, 276, 343, 276, 28708, 267, 476, 272, 3403, 267, 476, 3953, 2934, 270, 16059, 338, 454, 25639, 1412, 310, 318, 935, 341, 273, 9166, 23686, 17679, 926, 762, 6025, 325, 20179, 5332, 5436, 8443, 276, 267, 276, 267, 3953, 267, 5038, 8079, 13211, 25639, 1412, 310, 6958, 322, 9166, 23686, 17679, 926, 762, 6025, 325, 20179, 5332, 5436, 8443, 278, 265, 278, 265, 5038, 267, 476, 9083, 275, 8079, 1070, 1948, 2685, 4448, 454, 25639, 1948, 278, 343, 278, 1317, 1142, 1900, 6971, 7516, 676, 3368, 630, 13092, 476, 2764, 343, 2764, 264, 630, 25900, 1193, 728, 540, 476, 273, 994, 25639, 1412, 719, 9166, 23686, 17679, 926, 762, 6025, 325, 20179, 5332, 5436, 8443, 9083, 275, 267, 562, 318, 5035, 525, 316, 4297, 8679, 8931, 825, 12886, 815, 27835, 321, 318, 935, 341, 272, 9166, 23686, 17679, 926, 762, 6025, 325, 20179, 5332, 5436, 8443, 3953, 8079, 13211, 23526, 1412, 321, 318, 935, 341, 273, 9166, 23686, 17679, 926, 762, 6025, 325, 20179, 5332, 5436, 8443, 5038, 8079, 13211, 23526, 1412, 321, 6958, 322, 9166, 23686, 17679, 926, 762, 6025, 325, 20179, 5332, 5436, 8443, 9083, 275, 8079, 1070, 1948, 2685, 4448, 454, 23526, 1412, 719, 9166, 23686, 17679, 926, 762, 6025, 325, 20179, 5332, 5436, 8443, 333, 318, 5035, 525, 316, 4297, 10926, 825, 1535, 815, 23686, 269, 31412, 3287, 267, 3337, 284, 15631, 272, 267, 476, 2764, 267, 476, 2764, 267, 476, 272, 8079, 1948, 31412, 547, 6366, 476, 2764, 343, 2764, 22562, 825, 5996, 272, 815, 23686, 8542, 333, 18622, 1663, 263, 935, 341, 273, 323, 3287, 267, 30135, 9131, 310, 318, 935, 341, 272, 262, 8079, 1341, 12886, 9131, 321, 318, 935, 341, 272, 11172, 12467, 825, 5996, 272, 815, 3193, 23051, 273, 323, 263, 935, 341, 272, 2020, 825, 5996, 273, 815, 23686, 8542, 333, 18622, 1663, 263, 935, 341, 273, 323, 263, 935, 341, 272, 267, 30135, 9131, 310, 318, 935, 341, 273, 262, 8079, 1341, 12886, 9131, 321, 318, 935, 341, 273, 11172, 12467, 825, 5996, 273, 815, 3193, 23051, 273, 323, 263, 935, 341, 273, 2020, 825, 535, 322, 476, 815, 23686, 269, 31412, 263, 935, 341, 273, 267, 30585, 272, 267, 476, 278, 265, 278, 265, 5038, 7481, 825, 535, 322, 815, 23686, 8542, 333, 18622, 1663, 6025, 325, 269, 3901, 332, 592, 6600, 322, 267, 12035, 9131, 310, 6958, 322, 262, 8079, 266, 6798, 1162, 9131, 321, 6958, 322, 11172, 2020, 825, 1948, 325, 322, 815, 23686, 8542, 333, 6155, 1886, 719, 6600, 322, 267, 1832, 318, 3433, 264, 1948, 3199, 260, 540, 11409, 786, 581, 6854, 22562, 825, 3977, 815, 23686, 269, 3901, 332, 592, 6600, 322, 267, 12035, 9131, 719, 262, 8079, 1341, 12886, 9131, 719, 262, 6540, 825, 2132, 3977, 692, 3698, 5721, 318, 928, 1116, 5332, 564, 1740, 3287, 2187, 825, 12605, 815, 28708, 531, 318, 928, 1116, 5332, 564, 3287, 264, 1948, 10139, 525, 3403, 1239, 998, 8849, 2121, 543, 7024, 835, 3905, 5044, 454, 825, 1942, 815, 23686, 18622, 706, 576, 318, 11743, 6025, 325, 8542, 333, 269, 7809, 10946, 6831, 1484, 318, 550, 16552, 318, 5976, 318, 8421, 1080, 263, 8421, 1080, 284, 335, 1042, 2109, 267, 10297, 284, 344, 4297, 282, 1948, 28669, 525, 1942, 609, 12605, 543, 586, 692, 825, 1948, 3849, 600, 18893, 574, 6500, 849, 814, 513, 9936, 1565, 318, 3433, 267, 855, 602, 781, 476, 271, 269, 9826, 676, 9949, 799, 568, 1434, 476, 865, 16934, 1934, 454, 825, 5688, 6500, 815, 23686, 6745, 1778, 269, 3849, 600, 18893, 574, 6500, 14061, 2381, 4476, 6262, 739, 2020, 825, 609, 23686, 2529, 11970, 3890, 607, 5089, 912, 1038, 5089, 269, 14725, 6025, 325, 3052, 331, 2128, 318, 19702, 1963, 318, 30976, 6500, 31156, 1038, 585, 22184, 538, 2039, 3799, 318, 788, 5255, 338, 2187, 2018, 22184, 9078, 1601, 815, 476, 271, 454, 2018, 585, 9041, 538, 2039, 17301, 9852, 333, 626, 6745, 1778, 8542, 636, 318, 1410, 3263, 11486, 2255, 15481, 264, 2567, 1948, 31260, 1759, 593, 16801, 2450, 543, 2698, 2450, 454, 3546, 22184, 13448, 267, 22184, 14729, 815, 544, 333, 626, 6745, 1778, 12785, 10734, 2255, 6357, 2255, 15481, 264, 1948, 935, 1597, 1304, 569, 3947, 596, 1297, 540, 1806, 596, 991, 693, 513, 942, 454, 3546, 9041, 267, 524, 815, 5089, 269, 14725, 8443, 9953, 574, 6500, 267, 1942, 3910, 3049, 18380, 815, 2715, 343, 281, 22184, 13448, 267, 586, 281, 22184, 14729, 16585, 1948, 3286, 8255, 1346, 1079, 4632, 454, 3546, 1948, 18484, 1405, 1416, 827, 5688, 6500, 267, 865, 1175, 20838, 602, 454, 3546, 1948, 342, 656, 519, 1942, 267, 865, 7001, 538, 4756, 524, 454, 3546, 22184, 9078, 1601, 6834, 524, 692, 2018, 2953, 815, 23686, 269, 16029, 6025, 325, 27769, 10946, 9638, 1042, 2109, 267, 476, 272, 1070, 23686, 27769, 10946, 12169, 267, 476, 272, 4917, 2018, 6111, 815, 23686, 18622, 706, 576, 318, 11743, 6025, 325, 269, 4751, 6262, 8091, 267, 1412, 15615, 29125, 2018, 1820, 3488, 22977, 5255, 3299, 22184, 266, 272, 267, 1412, 1260, 921, 1540, 856, 540, 3299, 562, 318, 788, 5255, 338, 267, 1412, 476, 13809, 281, 3299, 22184, 9078, 1601, 267, 1412, 476, 6452, 5596, 281, 22207, 6111, 4318, 1998, 20719, 343, 281, 19282, 626, 6745, 652, 269, 30502, 267, 586, 281, 19282, 626, 6745, 652, 7456, 629, 1564, 348, 11723, 1038, 2953, 815, 23686, 269, 16029, 6025, 325, 27769, 10946, 9638, 1042, 2109, 267, 476, 272, 1070, 23686, 27769, 10946, 12169, 267, 476, 272, 4917, 1038, 1948, 1173, 10946, 7024, 4994, 540, 5021, 2418, 538, 891, 14249, 454, 1038, 1948, 21353, 1227, 713, 1899, 6645, 721, 952, 12605, 543, 586, 616, 3160, 692, 1038, 6111, 815, 23686, 18622, 706, 576, 318, 11743, 6025, 325, 269, 4751, 6262, 8091, 267, 1412, 15615, 29125, 1038, 1820, 3488, 16914, 5596, 281, 22207, 6111, 4318, 1998, 20719, 343, 281, 19282, 626, 6745, 652, 269, 30502, 267, 586, 281, 19282, 626, 6745, 652, 7456, 629, 1564, 348, 11723, 30221, 318, 928, 1116, 5332, 564, 1740, 3287, 264, 0, 5228, 10070, 1104, 29570, 454, 5228, 5299, 1104, 2620, 32476, 7531, 3698, 1118, 18380, 263, 651, 2643, 626, 267, 1871, 2187, 825, 8173, 825, 8073, 513, 9598, 689, 513, 1592, 540, 10569, 454, 825, 2433, 12407, 1883, 4289, 281, 1496, 4486, 272, 267, 1883, 273, 2639, 825, 2433, 12407, 1871, 281, 476, 1130, 454, 825, 2433, 8873, 281, 2715, 330, 272, 281, 346, 330, 273, 281, 1998, 3686, 454, 825, 8173, 825, 3529, 18380, 815, 31460, 825, 585, 1775, 267, 1883, 538, 26246, 263, 516, 951, 539, 263, 651, 2643, 626, 15892, 1038, 1130, 815, 1871, 952, 1775, 2652, 476, 271, 3116, 3529, 18380, 454, 1038, 3529, 18380, 815, 13634, 2018, 1883, 281, 1130, 454, 1038, 7684, 454, 825, 2132, 3529, 18380, 692, 3698, 5635, 318, 3438, 5416, 267, 536, 2187, 825, 2132, 630, 6352, 5416, 264, 2652, 7003, 6357, 264, 543, 454, 2018, 2715, 343, 538, 536, 585, 1535, 538, 513, 348, 2652, 454, 2018, 2715, 343, 538, 536, 585, 1535, 538, 513, 348, 2652, 454, 2018, 2715, 12148, 348, 9239, 3698, 19467, 18380, 5560, 272, 267, 546, 273, 267, 1799, 17014, 25716, 2187, 825, 8173, 825, 1948, 28799, 21594, 16571, 1947, 454, 825, 1948, 8497, 519, 5169, 1023, 454, 825, 1948, 17648, 546, 272, 543, 546, 273, 21594, 256, 2336, 825, 2433, 12407, 546, 272, 281, 3312, 8675, 454, 825, 2433, 12407, 546, 273, 281, 9337, 8675, 454, 825, 2433, 8873, 281, 9168, 546, 272, 454, 825, 29185, 825, 546, 272, 815, 15079, 952, 546, 272, 568, 7183, 3116, 546, 272, 454, 825, 546, 273, 815, 15079, 952, 546, 273, 568, 7183, 3116, 546, 273, 454, 825, 546, 272, 815, 2620, 32476, 5560, 272, 264, 952, 1799, 17014, 3116, 546, 272, 692, 825, 585, 737, 538, 546, 273, 912, 1038, 1948, 952, 546, 272, 543, 546, 273, 723, 9598, 585, 737, 267, 1287, 973, 9309, 454, 1038, 1948, 3116, 3651, 519, 1007, 1871, 547, 546, 272, 25208, 2639, 1038, 952, 630, 330, 538, 546, 272, 543, 568, 27349, 5560, 272, 25208, 3910, 29570, 994, 3546, 543, 568, 27349, 5560, 273, 25208, 3910, 29570, 15892, 2018, 19467, 18380, 5560, 272, 25208, 3910, 546, 273, 25208, 7481, 1038, 3116, 912, 2018, 546, 272, 25208, 316, 815, 546, 273, 25208, 2639, 825, 2132, 546, 272, 454, 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 5814, 4351, 454, 258, 25159, 630, 13695, 2431, 1867, 4462, 20129, 24868, 762, 1496, 292, 316, 834, 29389, 568, 7654, 796, 20129, 994, 6135, 691, 29228, 815, 1412, 7055, 6135, 691, 300, 20687, 815, 23288, 13117, 2525, 284, 10163, 691, 815, 13117, 2525, 454, 18411, 9792, 9359, 815, 476, 272, 454, 9792, 17484, 815, 476, 736, 454, 2745, 3488, 15916, 269, 1548, 568, 707, 2012, 286, 5073, 12528, 11243, 815, 3403, 10797, 3698, 7058, 3198, 3784, 10031, 825, 15981, 29228, 269, 1306, 802, 3593, 547, 7058, 513, 1297, 18411, 825, 1948, 25159, 630, 13695, 2431, 1867, 4462, 20129, 24868, 762, 1496, 292, 316, 834, 29389, 568, 7654, 796, 20129, 994, 825, 3593, 10817, 612, 815, 1412, 7055, 825, 7058, 307, 2586, 815, 1412, 7055, 825, 5728, 10831, 815, 4351, 27110, 263, 9792, 9359, 267, 2039, 17484, 2020, 825, 1948, 4890, 3009, 454, 825, 1820, 6600, 262, 11039, 267, 2715, 12528, 11243, 9574, 594, 993, 3206, 540, 513, 1297, 1063, 1412, 30492, 16875, 535, 262, 346, 9792, 9359, 348, 543, 2715, 9792, 17484, 348, 5073, 825, 1820, 3488, 12648, 513, 7058, 256, 5073, 825, 585, 7058, 307, 2586, 538, 2039, 263, 272, 267, 476, 278, 2187, 1038, 3593, 10817, 612, 815, 3403, 4590, 1038, 2119, 912, 2018, 3593, 10817, 612, 815, 703, 263, 12528, 10817, 612, 994, 2018, 952, 3593, 10817, 612, 3436, 5728, 10831, 912, 3546, 1820, 6600, 262, 7312, 7058, 568, 547, 1164, 5073, 3546, 7058, 307, 2586, 6834, 476, 272, 454, 2018, 8640, 3593, 10817, 612, 2999, 5728, 10831, 912, 3546, 1820, 6600, 262, 7312, 7058, 568, 547, 1970, 5073, 3546, 7058, 307, 2586, 6834, 476, 272, 454, 2018, 3116, 912, 3546, 2736, 454, 1038, 4849, 28759, 912, 2018, 952, 711, 3593, 10817, 612, 912, 3546, 1820, 6600, 262, 2791, 723, 711, 9411, 4376, 256, 5073, 2018, 3116, 912, 3546, 1820, 6600, 262, 2791, 723, 9411, 834, 346, 12528, 10817, 612, 348, 257, 799, 568, 711, 513, 1297, 256, 5073, 2018, 1820, 3488, 11767, 513, 1483, 1297, 519, 1985, 942, 256, 315, 333, 17210, 825, 952, 3593, 10817, 612, 2652, 5728, 10831, 912, 1038, 1820, 6600, 262, 14187, 2816, 267, 2715, 12528, 11243, 348, 256, 1411, 31665, 1250, 1297, 2715, 572, 4038, 10831, 348, 1412, 30492, 23526, 535, 262, 514, 2715, 29674, 307, 2586, 348, 7058, 525, 256, 5073, 825, 3116, 912, 1038, 1820, 6600, 257, 301, 2100, 269, 634, 1297, 594, 729, 3206, 540, 729, 2715, 572, 4038, 10831, 348, 15419, 825, 1964, 691, 29228, 815, 3403, 6600, 257, 25898, 596, 899, 547, 723, 1776, 979, 286, 834, 30492, 4449, 11434, 535, 257, 13911, 1412, 13433, 262, 547, 3136, 610, 4376, 3116, 547, 16718, 269, 19515, 825, 2119, 912, 1038, 952, 1964, 691, 29228, 2652, 834, 13433, 13426, 2018, 1820, 263, 6135, 691, 300, 20687, 994, 2018, 7058, 3198, 3784, 4590, 825, 4849, 912, 1038, 1820, 6600, 257, 2791, 723, 29921, 1412, 346, 6135, 691, 29228, 348, 8339, 594, 993, 844, 1746, 10590, 2020, 29674, 3198, 3784, 10797, 0, 26611, 23591, 24800, 270, 7090, 454, 5814, 2979, 692, 258, 2098, 933, 328, 674, 330, 1206, 454, 3698, 544, 342, 272, 5416, 14720, 2187, 825, 524, 815, 630, 320, 1341, 536, 264, 1315, 476, 273, 269, 271, 454, 825, 2132, 524, 692, 3698, 544, 342, 273, 5416, 14720, 2187, 825, 524, 815, 630, 320, 2608, 536, 994, 258, 825, 524, 815, 2979, 28460, 5416, 2608, 536, 264, 1948, 11634, 4546, 2357, 560, 320, 754, 997, 1127, 2142, 7371, 1408, 2336, 825, 2132, 524, 692, 3698, 544, 342, 274, 5416, 14720, 2187, 825, 524, 815, 513, 2878, 536, 454, 825, 2132, 524, 692, 258, 859, 531, 568, 339, 538, 3541, 700, 720, 267, 5124, 4211, 1712, 1990, 639, 2459, 20044, 639, 564, 7999, 454, 258, 9246, 530 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 607, 519, 2219, 540, 2883, 2744, 21477, 2471, 1022, 3020, 26069, 4371, 1354, 269, 1879, 5185, 609, 513, 1219, 3539, 3903, 267, 621, 568, 10924, 26069, 16765, 820, 3388, 267, 855, 950, 2883, 2744, 568, 3238, 26069, 616, 4503, 538, 519, 991, 585, 5763, 269, 4495, 7629, 779, 1272, 729, 3144, 267, 717, 6686, 961, 523, 4838, 3278, 883, 513, 3501, 267, 5326, 6438, 1158, 267, 968, 589, 5892, 12457, 1158, 814, 1044, 9927, 883, 519, 8755, 543, 1350, 7867, 540, 2930, 19870, 267, 519, 13423, 727, 540, 3413, 26475, 267, 513, 12363, 6126, 1439, 281, 17514, 267, 6095, 4133, 267, 3915, 15236, 267, 19440, 8279, 267, 2021, 538, 10543, 575, 12495, 543, 2367, 538, 512, 5060, 539, 657, 8108, 1079, 1781, 15077, 4114, 26305, 1346, 540, 5259, 13357, 6100, 634, 30883, 24207, 11052, 676, 10503, 717, 6686, 961, 523, 607, 968, 23855, 673, 19870, 892, 689, 922, 3105, 968, 326, 2001, 1158, 892, 3947, 519, 12705, 602, 13075, 2744, 5795, 519, 4884, 8788, 267, 11744, 875, 26069, 616, 711, 2808, 538, 1570, 2065, 6381, 269, 10801, 519, 3209, 267, 519, 4884, 11363, 875, 11358, 621, 729, 585, 873, 547, 10536, 519, 2724, 267, 2943, 2899, 789, 4309, 621, 789, 1152, 946, 621, 585, 6067, 9037, 5301, 269, 667, 14660, 1066, 332, 3430, 6257, 717, 6686, 961, 523, 607, 968, 1492, 13423, 727, 540, 3413, 26475, 892, 547, 5031, 875, 10057, 519, 4884, 2968, 538, 5763, 267, 3138, 3151, 782, 8289, 540, 2295, 325, 3881, 26069, 269, 32100, 666, 8532, 513, 1268, 779, 4978, 543, 2418, 267, 543, 950, 621, 10039, 547, 513, 1895, 1082, 979, 1996, 741, 5837, 3741, 585, 519, 4324, 540, 513, 5354, 563, 291, 14660, 1066, 332, 3430, 779, 24575, 540, 17847, 1369, 519, 10034, 15161, 540, 717, 6686, 961, 523, 4564, 875, 19838, 12510, 878, 6499, 7472, 16203, 950, 10714, 532, 835, 779, 5837, 4441, 269, 1879, 519, 26302, 543, 7629, 598, 2091, 936, 519, 1857, 5870, 1373, 4371, 547, 1865, 7629, 779, 2013, 267, 789, 3717, 827, 519, 9658, 1097, 540, 519, 3706, 574, 23628, 2676, 2108, 9802, 528, 281, 1152, 519, 1202, 11107, 786, 1174, 519, 2495, 540, 519, 4901, 563, 26877, 281, 634, 1249, 602, 1250, 1272, 568, 693, 7196, 563, 22068, 775, 892, 630, 291, 14660, 1066, 332, 3430, 476, 6434, 1916, 763, 16563, 568, 513, 3090, 540, 16203, 585, 519, 4884, 267, 607, 950, 5185, 609, 4641, 789, 1174, 602, 13075, 12587, 20546, 5683, 2924, 538, 2474, 540, 2123, 2744, 269, 634, 4884, 568, 6857, 540, 875, 1305, 1996, 7629, 789, 723, 1831, 267, 855, 14543, 547, 3398, 741, 2962, 998, 519, 946, 540, 16563, 269, 634, 3003, 4884, 7444, 10714, 338, 7629, 607, 811, 543, 811, 1004, 3442, 519, 2619, 540, 19539, 267, 607, 16203, 13315, 741, 3375, 269, 29460, 18930, 539, 609, 593, 5765, 2883, 2744, 1025, 2720, 519, 9525, 540, 1018, 2306, 3020, 26069, 269, 1879, 519, 2046, 9356, 593, 519, 1439, 578, 618, 602, 519, 1507, 4884, 4607, 865, 10393, 267, 789, 2769, 267, 968, 301, 6334, 267, 519, 2146, 568, 588, 684, 2740, 269, 972, 568, 513, 2669, 569, 16563, 1934, 269, 12213, 7553, 593, 1169, 3068, 6100, 634, 3308, 11052, 540, 968, 1372, 788, 7553, 892, 543, 519, 3280, 11052, 540, 968, 1372, 987, 569, 16563, 892, 960, 1927, 547, 11168, 519, 17847, 602, 519, 4884, 7959, 267, 1256, 1498, 789, 1131, 711, 1491, 1394, 741, 3527, 269, 4256, 17418, 547, 3068, 16203, 8711, 519, 7411, 538, 19394, 5763, 585, 782, 538, 5385, 585, 519, 4027, 540, 835, 269, 667, 14660, 1066, 332, 3430, 779, 3498, 540, 16203, 2390, 519, 4884, 19752, 31112, 779, 1852, 936, 1022, 1268, 267, 607, 2123, 13821, 5932, 519, 2530, 540, 6616, 1018, 568, 1318, 610, 4636, 563, 2171, 953, 543, 26069, 4339, 513, 6024, 6370, 540, 1018, 2306, 1142, 1318, 610, 4636, 547, 11654, 269, 667, 14660, 1066, 332, 3430, 6354, 12885, 2789, 6163, 540, 27461, 1893, 547, 2417, 5304, 779, 12496, 540, 1018, 2306, 513, 3844, 3903, 3983, 610, 1434, 269, 1772, 15684, 540, 606, 1367, 1996, 513, 1895, 2417, 338, 519, 6988, 540, 530, 5930, 519, 2669, 540, 7629, 538, 5385, 585, 5763, 729, 519, 1318, 3903, 269, 667, 14660, 1066, 332, 3430, 12662, 13919, 543, 1570, 2065, 2744, 547, 519, 1449, 998, 519, 11685, 540, 1367, 8957, 2486, 538, 634, 16731, 563, 306, 1539, 1214, 814, 1279, 9598, 730, 1004, 779, 4978, 267, 5784, 267, 5920, 267, 543, 1256, 4555, 269, 1548, 13514, 513, 1966, 568, 602, 267, 16662, 1549, 958, 610, 711, 267, 891, 8155, 27774, 3025, 779, 3527, 267, 610, 3668, 23476, 267, 543, 666, 20965, 288, 3387, 580, 8462, 568, 519, 17117, 540, 2870, 1896, 10096, 585, 513, 2582, 2856, 269, 634, 6388, 540, 20982, 13509, 538, 3332, 1419, 24864, 519, 2239, 543, 568, 513, 8671, 545, 1031, 547, 1628, 20965, 763, 3209, 267, 634, 12414, 540, 519, 21115, 342, 267, 799, 568, 2854, 676, 8361, 6276, 267, 814, 2141, 1044, 606, 5393, 11786, 4062, 540, 3332, 1851, 13915, 269, 901, 568, 5631, 1813, 547, 519, 20965, 14071, 7464, 15346, 892, 676, 717, 342, 754, 565, 2106, 15588, 338, 568, 513, 8466, 3979, 1977, 2110, 6648, 602, 20475, 538, 865, 1906, 1913, 519, 1272, 540, 15141, 1190, 14038, 1282, 476, 4198, 280, 269, 2578, 1229, 1472, 513, 1974, 20965, 299, 7035, 320, 568, 513, 3209, 3370, 538, 476, 4198, 276, 543, 2854, 676, 6739, 12677, 2278, 543, 10564, 32157, 715, 629, 758, 990, 269, 2991, 6294, 7992, 547, 519, 2136, 2276, 689, 2342, 267, 519, 16502, 670, 3784, 339, 670, 3784, 339, 3587, 16770, 20965, 3674, 621, 513, 7872, 267, 607, 3140, 4589, 2813, 1808, 1462, 3098, 585, 513, 14070, 1915, 945, 779, 1152, 3483, 5713, 607, 519, 1650, 779, 5636, 664, 748, 1915, 610, 20599, 267, 22509, 17495, 3298, 519, 1462, 1108, 540, 835, 20965, 296, 1616, 547, 2263, 519, 3095, 1063, 5369, 15351, 4519, 543, 2278, 267, 32157, 715, 629, 758, 990, 269, 5617, 773, 1324, 972, 616, 2178, 19320, 1063, 519, 1079, 282, 25164, 4519, 568, 513, 3069, 540, 7664, 540, 519, 2247, 543, 20965, 7072, 898, 4422, 1510, 6031, 602, 2221, 267, 1310, 1079, 5553, 267, 19537, 1529, 320, 4667, 547, 581, 5963, 32161, 607, 646, 814, 1831, 513, 24819, 2442, 2528, 12835, 267, 7432, 909, 538, 1169, 5420, 20965, 1103, 634, 16731, 267, 2278, 267, 26179, 20736, 1066, 332, 3430, 3096, 519, 1646, 540, 3197, 543, 13513, 547, 6318, 519, 2055, 540, 18348, 2225, 540, 10456, 968, 4692, 10456, 2142, 645, 4454, 892, 286, 634, 1292, 3197, 267, 1849, 18311, 2098, 778, 534, 817, 1014, 267, 20965, 2691, 5185, 609, 519, 4316, 540, 2883, 2744, 267, 621, 949, 3100, 6654, 547, 3442, 519, 2619, 540, 1967, 543, 5763, 269, 1879, 6236, 5817, 2188, 540, 2123, 1894, 543, 7881, 267, 713, 31218, 0, 8794, 519, 11621, 281, 9046, 14572, 6182, 269, 918, 454, 9288, 7566, 519, 4441, 568, 513, 26882, 609, 891, 2653, 3562, 946, 267, 10063, 24862, 3211, 269, 8018, 2861, 543, 3946, 6823, 2238, 1118, 2979, 3015, 585, 782, 1565, 2010, 269, 8648, 3058, 3450, 11226, 267, 971, 607, 5578, 11974, 267, 19469, 10526, 267, 543, 2875, 24713, 550, 29931, 730, 2042, 267, 1450, 596, 547, 6895, 707, 1053, 685, 3356, 269, 18500, 6486, 5000, 1053, 547, 1831, 6899, 609, 2474, 543, 6698, 269, 4675, 2176, 715, 6311, 300, 4441, 269, 3115, 1238, 24862, 267, 476, 12553, 3817, 1142, 563, 13349, 11759, 9208, 595, 2642, 912, 6717, 267, 29314, 267, 11022, 267, 717, 0, 300, 8636, 6535, 7958, 19773, 593, 519, 3017, 536, 11320, 568, 5361, 543, 5493, 32347, 281, 1813, 547, 2528, 267, 3903, 540, 5601, 281, 9925, 338, 616, 519, 6074, 1004, 269, 901, 6497, 1275, 729, 1031, 547, 1491, 936, 2244, 543, 26718, 2043, 602, 964, 5703, 547, 581, 22482, 1547, 9137, 476, 272, 281, 12909, 827, 519, 6476, 536, 11320, 8915, 22038, 543, 1990, 542, 626, 6497, 1275, 543, 875, 22988, 723, 1044, 2215, 539, 547, 1745, 29059, 585, 568, 5361, 689, 513, 1360, 1279, 942, 3516, 269, 2494, 28685, 22038, 16621, 1614, 1883, 2093, 281, 8263, 519, 16495, 540, 7819, 1004, 543, 7819, 5238, 267, 519, 2856, 540, 5692, 269, 769, 824, 1913, 267, 519, 2856, 602, 835, 1058, 3540, 1125, 610, 581, 513, 581, 13154, 547, 519, 1158, 676, 10825, 7819, 16809, 543, 5238, 281, 4984, 13485, 616, 849, 1419, 1759, 593, 713, 6497, 1275, 267, 513, 10206, 540, 22038, 269, 1358, 5156, 519, 7819, 1004, 941, 30758, 547, 1827, 519, 3003, 11782, 269, 1358, 5156, 621, 729, 22038, 282, 621, 729, 5921, 547, 581, 269, 589, 3350, 585, 519, 556, 652, 28344, 618, 543, 4027, 540, 513, 9925, 880, 4182, 538, 1018, 568, 1631, 568, 5361, 269, 0, 25748, 267, 519, 3212, 601, 6953, 541, 3272, 595, 2255, 618, 7027, 16539, 538, 2185, 6552, 13009, 8254, 779, 547, 2445, 1239, 593, 21426, 1519, 12219, 543, 12362, 2249, 538, 24434, 807, 8381, 1633, 593, 2199, 3601, 269, 901, 1239, 2488, 513, 15977, 585, 5464, 543, 547, 3391, 2359, 563, 289, 3471, 807, 8381, 4133, 616, 13155, 2950, 13856, 676, 2030, 2249, 1519, 24434, 807, 22887, 340, 1092, 267, 24434, 807, 24924, 545, 604, 16288, 267, 24434, 807, 6264, 529, 543, 24434, 807, 2367, 345, 625, 4512, 269, 1452, 2027, 2127, 540, 17382, 1633, 1683, 7226, 547, 930, 540, 938, 1034, 4190, 267, 2189, 543, 13155, 5065, 2831, 607, 1134, 607, 513, 30162, 540, 13271, 543, 824, 2030, 2249, 269, 10251, 891, 2950, 616, 3810, 27929, 543, 1419, 12936, 676, 2068, 543, 535, 1968, 10860, 267, 7700, 547, 19394, 2338, 540, 28816, 11317, 971, 607, 844, 12629, 267, 9932, 1502, 4548, 267, 943, 2444, 690, 2297, 543, 3109, 15483, 520, 5622, 779, 563, 2414, 1732, 1174, 519, 1072, 540, 938, 8492, 807, 3574, 4133, 998, 2458, 908, 1018, 5065, 543, 16678, 2831, 616, 30939, 24434, 807, 8381, 4133, 538, 519, 3212, 601, 6953, 541, 3272, 6952, 618, 267, 11682, 6717, 723, 17298, 6098, 6552, 8254, 21426, 12220, 609, 2244, 14935, 538, 4639, 15346, 1575, 267, 5244, 4133, 543, 8672, 27578, 269, 1677, 2087, 7020, 3928, 543, 2298, 540, 22089, 267, 7156, 729, 2016, 8254, 1747, 906, 267, 9249, 543, 7180, 540, 3077, 2249, 269, 14066, 4054, 609, 17860, 338, 267, 1216, 2959, 543, 3662, 13475, 941, 23500, 267, 609, 519, 1840, 540, 8471, 536, 7159, 607, 561, 999, 538, 824, 2127, 269, 1924, 2484, 476, 2764, 5619, 2395, 723, 1044, 6192, 609, 1776, 5619, 4867, 538, 3356, 563, 2171, 723, 6707, 5833, 22089, 540, 5726, 1713, 21426, 1519, 844, 12629, 543, 2699, 26904, 3109, 15483, 6737, 657, 267, 543, 824, 5065, 2249, 1519, 3751, 779, 2960, 802, 543, 11453, 18571, 1502, 4548, 269, 901, 12219, 2249, 1239, 786, 3565, 547, 6626, 1702, 998, 1840, 547, 1533, 12240, 269, 3776, 12220, 723, 849, 7000, 1713, 2338, 540, 29372, 543, 3864, 17544, 267, 799, 2337, 547, 1217, 11641, 2359, 3292, 543, 7226, 6454, 3527, 269, 1403, 596, 616, 5461, 538, 1761, 14828, 547, 948, 1711, 610, 8190, 2635, 9249, 602, 1489, 5065, 21426, 693, 707, 3959, 5225, 3346, 3212, 601, 6953, 541, 3272, 595, 2255, 618, 7027, 563, 763, 2622, 585, 8381, 4133, 1788, 568, 6462, 676, 519, 11682, 6717, 998, 7616, 689, 519, 8241, 6554, 779, 2817, 8092, 3249, 5358, 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 ]
[ 18258, 476, 476, 1789, 19878, 1708, 273, 476, 1835, 338, 267, 8191, 1477, 18851, 1477, 10521, 546, 2939, 1308, 6316, 267, 1210, 14854, 1477, 18851, 1477, 5814, 14854, 607, 8913, 5897, 5035, 22750, 273, 291, 6769, 825, 5727, 5565, 6316, 3440, 1477, 825, 5727, 1477, 825, 8913, 6745, 571, 1356, 263, 271, 3418, 825, 8913, 19544, 573, 564, 31103, 14052, 825, 8700, 318, 2181, 341, 815, 476, 272, 1477, 825, 2681, 318, 2181, 341, 815, 834, 19990, 29177, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 272, 284, 271, 11971, 272, 284, 271, 267, 1535, 273, 284, 271, 267, 586, 273, 284, 271, 267, 1477, 4449, 8700, 815, 7183, 267, 1477, 4449, 2681, 22561, 8029, 1038, 5727, 19461, 1125, 3440, 1477, 1038, 2433, 343, 272, 281, 2990, 2253, 1535, 9949, 281, 476, 271, 1477, 1038, 2433, 344, 272, 281, 2990, 2253, 586, 9949, 281, 476, 271, 1477, 1038, 2433, 343, 273, 281, 2990, 1439, 1535, 9949, 281, 476, 271, 1477, 1038, 2433, 344, 273, 281, 2990, 1439, 586, 9949, 281, 476, 271, 1477, 1038, 2433, 12296, 281, 6316, 1899, 8700, 9949, 281, 3105, 318, 12296, 1496, 272, 15947, 1038, 2433, 10233, 281, 2681, 9949, 281, 3105, 2681, 22373, 19990, 257, 15947, 1038, 5727, 1477, 1038, 1582, 11859, 272, 815, 1535, 272, 1477, 1038, 1582, 13885, 272, 815, 586, 272, 1477, 1038, 1582, 11859, 273, 815, 1535, 273, 1477, 1038, 1582, 13885, 273, 815, 586, 273, 1477, 1038, 1582, 9884, 5954, 815, 8700, 1477, 1038, 952, 8700, 568, 7183, 6769, 2018, 8700, 815, 22750, 273, 291, 9884, 5954, 318, 2181, 341, 476, 1948, 2422, 3105, 1477, 1038, 1582, 9884, 5954, 815, 8700, 1477, 1038, 22750, 273, 291, 9884, 5954, 318, 2181, 341, 815, 8700, 476, 1948, 5457, 607, 3105, 1477, 1363, 1477, 1038, 952, 2681, 568, 7183, 6769, 2018, 2681, 815, 22750, 273, 291, 269, 10233, 318, 2181, 341, 1477, 1038, 1582, 269, 10233, 815, 2681, 1477, 1038, 22750, 273, 291, 269, 10233, 318, 2181, 341, 815, 2681, 476, 1948, 5457, 607, 3105, 1477, 1363, 1477, 825, 1219, 6449, 1598, 9191, 1345, 8029, 1038, 5727, 21642, 6041, 267, 6140, 585, 1477, 2018, 3181, 19982, 1315, 10368, 946, 1477, 1038, 5727, 1477, 1038, 588, 815, 535, 257, 10955, 613, 273, 291, 281, 1535, 272, 281, 346, 1345, 11859, 272, 348, 586, 272, 281, 346, 1345, 13885, 272, 348, 29177, 1038, 588, 6834, 535, 257, 1535, 273, 281, 346, 1345, 11859, 273, 348, 586, 273, 281, 346, 1345, 13885, 273, 348, 29177, 1038, 588, 6834, 535, 257, 530, 281, 346, 1345, 9884, 5954, 348, 29177, 1038, 588, 6834, 535, 257, 2715, 1345, 269, 10233, 348, 29177, 1038, 2132, 588, 5897, 825, 1219, 4159, 4311, 8029, 1038, 5727, 11514, 2452, 6316, 1477, 1038, 5727, 1477, 1038, 8913, 4877, 523, 1575, 14052, 1038, 8913, 3052, 9369, 3287, 284, 1345, 11859, 272, 267, 586, 284, 1345, 13885, 272, 3418, 1038, 8913, 4877, 754, 1144, 14052, 1038, 8913, 269, 10233, 4311, 269, 10233, 3418, 1038, 8913, 9884, 5954, 4311, 9884, 5954, 3418, 1038, 8913, 3052, 9369, 3287, 284, 1345, 11859, 273, 267, 586, 284, 1345, 13885, 273, 3418, 1038, 8913, 269, 26303, 31476, 604, 6449, 4067, 1029, 2652, 26242, 10852, 1029, 257, 6769, 825, 1535, 815, 476, 12573, 1477, 825, 1283, 815, 1535, 1477, 825, 5377, 815, 910, 343, 1477, 825, 2451, 815, 910, 343, 1477, 825, 1318, 815, 1535, 1477, 825, 8728, 815, 32582, 8587, 1948, 9255, 8728, 538, 1592, 1477, 825, 1696, 641, 815, 22750, 273, 291, 3287, 272, 284, 3847, 267, 586, 272, 284, 9008, 267, 1535, 273, 284, 2431, 267, 586, 273, 284, 9008, 267, 1477, 3546, 8700, 284, 1015, 267, 2681, 6889, 13582, 14744, 825, 8728, 6910, 263, 564, 641, 3418, 825, 2144, 697, 815, 22750, 273, 291, 3287, 272, 284, 2431, 267, 586, 272, 284, 9008, 267, 1535, 273, 284, 2431, 267, 586, 273, 284, 321, 18847, 3418, 825, 8728, 6910, 263, 518, 697, 3418, 825, 552, 321, 18847, 815, 22750, 273, 291, 3287, 272, 284, 2431, 267, 586, 272, 284, 321, 18847, 267, 1535, 273, 284, 3847, 267, 586, 273, 284, 321, 18847, 3418, 825, 8728, 6910, 16216, 321, 18847, 3418, 825, 1605, 1111, 815, 22750, 273, 291, 3287, 272, 284, 3847, 267, 586, 272, 284, 321, 18847, 267, 1535, 273, 284, 3847, 267, 586, 273, 284, 9008, 3418, 825, 8728, 6910, 16216, 3847, 3418, 825, 585, 6316, 538, 8728, 6769, 1038, 1820, 263, 8354, 3418, 1038, 6316, 269, 5891, 14052, 1363, 1477, 825, 8913, 6155, 821, 14052, 672, 24653, 0, 258, 8772, 18258, 476, 1704, 19878, 1001, 279, 1477, 258, 26062, 2055, 1477, 258, 8520, 6998, 1297, 1477, 258, 1820, 1297, 9411, 1477, 258, 266, 1477, 258, 5590, 3077, 1871, 1477, 258, 2372, 527, 952, 1297, 9411, 1297, 11224, 3077, 1477, 258, 266, 1477, 258, 7788, 8784, 952, 7058, 3152, 267, 1447, 610, 3160, 1477, 258, 266, 1477, 258, 7788, 8784, 3853, 267, 3652, 1354, 1376, 1477, 258, 1477, 842, 549, 815, 5727, 1477, 8702, 547, 938, 1297, 27378, 3014, 1477, 296, 4312, 13603, 513, 1297, 23228, 2791, 666, 4283, 7058, 525, 543, 594, 3513, 1577, 596, 917, 952, 707, 1477, 29674, 568, 1447, 982, 1250, 1297, 267, 3152, 982, 1250, 1297, 1477, 528, 12327, 16898, 14877, 1250, 1297, 23228, 8923, 2046, 519, 13673, 9898, 1883, 1310, 17511, 707, 7058, 23228, 18851, 1477, 2745, 17301, 549, 3418, 339, 13759, 19056, 815, 476, 276, 1477, 6112, 6936, 6769, 825, 538, 335, 815, 3403, 2891, 11767, 7089, 834, 3418, 825, 1003, 815, 703, 263, 514, 335, 3418, 825, 1820, 2891, 10831, 24333, 1003, 3418, 825, 952, 3077, 19056, 3436, 1003, 6769, 1038, 1820, 2891, 28989, 267, 1250, 1297, 568, 3152, 982, 2580, 1003, 3418, 1038, 3136, 2018, 1948, 3136, 609, 8520, 1477, 825, 952, 3077, 19056, 2999, 1003, 6769, 1038, 1820, 2891, 28989, 267, 1250, 1297, 568, 1447, 982, 2580, 1003, 3418, 1038, 3136, 2018, 1948, 3136, 609, 8520, 1477, 825, 952, 1003, 2652, 3077, 19056, 6769, 1038, 1820, 2891, 2791, 20944, 621, 910, 14307, 1003, 267, 834, 568, 1250, 1297, 834, 3418, 1038, 2736, 5897, 0, 258, 6112, 5332, 6479, 5334, 574, 921, 318, 272, 18258, 1477, 12534, 815, 476, 272, 1477, 3916, 527, 815, 476, 276, 1477, 6112, 15254, 2999, 3970, 6769, 825, 15254, 273, 815, 476, 273, 1477, 825, 3970, 273, 815, 476, 275, 1477, 825, 1820, 2891, 12534, 24333, 15254, 3418, 825, 1247, 15254, 273, 2999, 3970, 273, 6769, 1038, 1820, 2891, 12534, 24333, 15254, 267, 834, 12534, 273, 24333, 15254, 273, 3418, 1038, 15254, 273, 815, 15254, 273, 1341, 476, 272, 1477, 825, 15254, 815, 15254, 1341, 476, 272, 1477, 0, 258, 22557, 6958, 4233, 28804, 3065, 18258, 825, 476, 1724, 19878, 1708, 273, 476, 1835, 338, 1477, 258, 4449, 25639, 476, 1839, 15037, 1708, 273, 476, 1835, 338, 267, 689, 22557, 18258, 1477, 258, 18224, 513, 5182, 609, 22557, 1210, 1592, 1477, 258, 16294, 1599, 12038, 547, 798, 12038, 2962, 1477, 258, 32745, 8379, 9331, 674, 7419, 290, 3582, 10342, 5897, 5228, 14854, 1104, 2608, 825, 1948, 20780, 538, 14854, 8642, 3252, 5897, 3712, 832, 815, 22373, 1042, 2580, 834, 528, 1052, 2580, 834, 344, 3641, 2580, 1477, 16875, 834, 13582, 2580, 834, 19990, 2580, 834, 785, 15282, 2580, 1477, 16875, 834, 341, 14489, 19312, 5897, 3698, 12038, 4433, 335, 5803, 318, 6352, 267, 12297, 15481, 8029, 825, 5727, 5269, 1899, 4433, 335, 5803, 264, 609, 12297, 693, 1439, 1477, 825, 2433, 6352, 281, 3259, 540, 1899, 538, 19641, 1477, 825, 2433, 25346, 15481, 281, 2450, 540, 12297, 1477, 825, 5727, 1477, 825, 4464, 4433, 335, 5803, 318, 6352, 3418, 825, 12297, 5560, 582, 15481, 3418, 825, 18807, 4433, 335, 5803, 318, 6352, 3418, 24541, 672, 5897, 258, 3712, 832, 815, 476, 273, 265, 3712, 832, 8587, 1948, 17677, 1592, 1477, 985, 335, 5803, 815, 7003, 263, 3712, 832, 3418, 4944, 5803, 318, 6352, 815, 476, 4968, 1477, 1721, 1775, 538, 2039, 263, 985, 335, 5803, 8029, 825, 2681, 263, 3712, 832, 5157, 260, 6352, 263, 3712, 832, 264, 8079, 825, 1948, 654, 1905, 1472, 1592, 1477, 825, 12038, 4433, 335, 5803, 318, 6352, 267, 263, 328, 266, 272, 12684, 736, 3418, 825, 1318, 263, 11740, 270, 985, 335, 5803, 3418, 24541, 0, 258, 4009, 8217, 18258, 825, 476, 1839, 15037, 1708, 273, 476, 1835, 338, 267, 689, 22557, 18258, 1477, 258, 18224, 513, 1305, 540, 11954, 10945, 1477, 258, 2422, 4778, 689, 513, 1592, 1477, 258, 4009, 1599, 609, 20438, 9936, 9949, 338, 5897, 5228, 14854, 1104, 2608, 825, 1948, 20780, 538, 14854, 8642, 3252, 24653, 3698, 4009, 3287, 284, 271, 267, 586, 284, 271, 267, 2450, 284, 4968, 267, 897, 337, 6889, 1042, 2580, 11097, 284, 272, 8029, 825, 5727, 18224, 4009, 1477, 825, 2433, 343, 281, 1535, 4087, 540, 2539, 2451, 7944, 9949, 281, 271, 1477, 825, 2433, 344, 281, 586, 4087, 540, 2539, 2451, 7944, 9949, 281, 271, 1477, 825, 2433, 3712, 337, 281, 2681, 540, 12038, 9949, 281, 2699, 1477, 825, 2433, 21653, 281, 2450, 540, 2427, 9949, 281, 4968, 1477, 825, 2433, 342, 573, 281, 1899, 8700, 9949, 281, 476, 272, 1477, 825, 5727, 1477, 825, 4050, 1575, 14052, 825, 3893, 334, 3287, 11971, 3418, 825, 20805, 1144, 14052, 825, 2681, 263, 3712, 337, 3418, 825, 8700, 26028, 573, 3418, 825, 585, 1775, 538, 2039, 263, 275, 2567, 476, 1948, 1684, 476, 275, 2053, 1477, 1038, 4464, 4433, 1125, 3418, 1038, 1318, 263, 3445, 3418, 672, 5897, 18851, 1477, 14818, 532, 1315, 11644, 1599, 4009, 1477, 18851, 1477, 3712, 832, 815, 22373, 1042, 2580, 834, 528, 1052, 2580, 834, 344, 3641, 2580, 1477, 16875, 834, 13582, 2580, 834, 19990, 2580, 834, 785, 15282, 2580, 1477, 16875, 834, 341, 14489, 19312, 5897, 7773, 15481, 815, 476, 8517, 1477, 985, 13645, 815, 7003, 263, 3712, 832, 3418, 338, 336, 15481, 28804, 815, 3094, 15481, 14370, 985, 13645, 266, 272, 3418, 8218, 815, 910, 842, 263, 7773, 15481, 270, 273, 264, 567, 1948, 2539, 2451, 7944, 1477, 1721, 1775, 538, 2039, 263, 985, 13645, 8029, 825, 13483, 15481, 815, 1547, 278, 265, 338, 336, 15481, 28804, 1341, 1775, 270, 985, 13645, 265, 338, 336, 15481, 28804, 1477, 825, 1535, 815, 630, 328, 268, 272, 12684, 338, 336, 15481, 1341, 2253, 1477, 825, 586, 815, 1775, 265, 338, 336, 15481, 1341, 2253, 1477, 825, 897, 337, 815, 4778, 5157, 260, 6352, 263, 3712, 832, 13580, 1477, 825, 15981, 2598, 762, 3181, 19982, 3515, 1477, 825, 1820, 2891, 328, 24333, 1775, 267, 834, 338, 13645, 3287, 284, 2580, 343, 267, 1477, 16875, 834, 344, 284, 2580, 344, 267, 834, 21653, 284, 2580, 13483, 15481, 267, 1477, 19930, 834, 3712, 337, 284, 2580, 897, 337, 267, 834, 342, 573, 284, 2580, 1775, 266, 272, 3418, 825, 15981, 1477, 825, 4009, 3287, 24210, 267, 586, 284, 344, 267, 2450, 284, 338, 336, 15481, 267, 1477, 19930, 897, 337, 284, 3712, 337, 267, 11097, 284, 328, 266, 272, 3418, 0, 258, 14854, 4671, 686, 4120, 318, 31467, 18258, 825, 476, 2918, 12914, 1708, 271, 689, 1477, 258, 476, 4179, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 29210, 298, 340, 273, 335, 304, 278, 6579, 334, 1477, 258, 5269, 513, 6906, 1477, 258, 2422, 8520, 547, 2489, 1125, 5897, 5814, 14854, 5897, 2001, 815, 14854, 11053, 31103, 14052, 2001, 269, 10233, 2891, 19990, 2580, 834, 1042, 14744, 2001, 269, 8218, 6958, 650, 14052, 2515, 815, 476, 1220, 11434, 1948, 20099, 540, 2427, 1477, 4120, 815, 476, 6344, 8587, 1948, 476, 5197, 910, 476, 6344, 815, 476, 2568, 1477, 1721, 1775, 538, 2039, 263, 274, 8029, 825, 18422, 269, 3453, 263, 2515, 3418, 825, 18422, 16000, 263, 4120, 3418, 2001, 269, 754, 6958, 650, 31476, 0, 258, 4626, 564, 762, 301, 318, 5976, 4671, 787, 18258, 476, 273, 270, 278, 270, 866, 1477, 18851, 1477, 25284, 547, 2307, 3593, 585, 1297, 543, 1287, 798, 2053, 3349, 1477, 1721, 602, 1297, 281, 476, 272, 1535, 1003, 267, 24222, 1003, 1535, 1003, 1477, 28275, 609, 4626, 652, 762, 318, 13585, 18258, 910, 1039, 2638, 585, 4570, 8870, 23228, 10267, 9535, 729, 2944, 676, 1210, 513, 834, 339, 787, 910, 4849, 257, 1895, 23228, 2252, 519, 3009, 267, 967, 5034, 1310, 519, 834, 339, 787, 281, 257, 4991, 606, 834, 1410, 4003, 2580, 538, 938, 1477, 13826, 606, 10363, 5569, 538, 519, 834, 842, 257, 1289, 267, 1287, 519, 3009, 967, 5034, 1477, 12898, 519, 1739, 834, 21955, 281, 257, 4991, 13401, 23228, 8450, 4626, 652, 762, 301 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2018, 2619, 6910, 263, 8001, 994, 2018, 3802, 815, 2385, 3097, 1038, 2619, 18622, 2091, 3890, 23526, 1948, 556, 528, 1304, 2619, 689, 579, 547, 642, 3097, 825, 2132, 2619, 476, 7531, 258, 5440, 7400, 1599, 602, 7024, 513, 667, 12396, 4104, 585, 606, 3003, 3113, 563, 3698, 667, 12396, 318, 14814, 14116, 281, 8641, 264, 9847, 9598, 912, 825, 8173, 825, 9524, 667, 12396, 585, 3003, 3113, 543, 2132, 4104, 607, 513, 8675, 563, 825, 28088, 7851, 1142, 14584, 642, 547, 519, 6316, 602, 729, 1031, 547, 3605, 621, 563, 825, 630, 309, 1068, 1182, 602, 616, 5072, 540, 513, 667, 12396, 3529, 616, 25528, 547, 7183, 1916, 825, 8173, 825, 4104, 815, 31460, 825, 585, 579, 538, 575, 269, 3200, 1182, 10031, 1038, 952, 579, 711, 538, 4104, 912, 2018, 4104, 314, 340, 316, 815, 7183, 825, 1948, 579, 786, 581, 519, 3597, 540, 513, 3529, 454, 2018, 667, 12396, 14116, 267, 579, 267, 4104, 994, 825, 2132, 4104, 8528, 692, 258, 4560, 23867, 3406, 593, 513, 3113, 267, 4358, 693, 513, 11280, 14584, 521, 454, 3698, 645, 12396, 14116, 281, 8641, 267, 521, 281, 8641, 17679, 518, 23753, 267, 4362, 281, 9598, 2187, 825, 8173, 825, 9524, 645, 12396, 540, 519, 3768, 4593, 2642, 6712, 540, 8641, 575, 4358, 693, 7638, 23753, 521, 563, 825, 2387, 29171, 2642, 319, 568, 513, 8675, 11837, 1142, 14584, 547, 519, 6316, 602, 729, 1031, 547, 3605, 621, 1282, 519, 645, 12396, 630, 338, 1058, 581, 25528, 547, 7183, 1991, 547, 519, 1289, 1916, 825, 1715, 569, 4362, 14622, 786, 581, 3773, 547, 519, 8675, 607, 513, 1267, 563, 825, 8173, 825, 1377, 815, 1496, 338, 316, 17264, 1948, 1101, 1377, 2882, 1152, 521, 454, 825, 1247, 7003, 263, 24038, 264, 3436, 476, 271, 912, 1038, 1985, 318, 24038, 815, 32582, 672, 1948, 5965, 547, 5531, 9241, 1336, 14622, 454, 1038, 585, 579, 538, 1377, 912, 2018, 585, 552, 538, 575, 269, 4532, 1211, 318, 539, 2471, 26086, 2567, 567, 1948, 585, 1169, 856, 4707, 6316, 689, 579, 454, 3546, 642, 815, 552, 269, 641, 22683, 26086, 994, 3546, 952, 642, 711, 538, 4362, 281, 672, 1948, 642, 568, 606, 796, 6665, 1243, 14584, 454, 7386, 4362, 314, 341, 316, 815, 552, 11434, 1948, 552, 568, 519, 3529, 6316, 602, 4362, 642, 454, 7386, 1985, 318, 24038, 6910, 17635, 264, 825, 1948, 642, 786, 581, 2417, 2808, 538, 1985, 1780, 454, 2018, 1377, 815, 1985, 318, 24038, 23526, 1948, 882, 8475, 1412, 10113, 262, 1377, 547, 1831, 1699, 7531, 3698, 20313, 29758, 12396, 14116, 281, 8641, 267, 521, 281, 8641, 17679, 518, 23753, 267, 4362, 281, 9598, 2187, 825, 8173, 825, 606, 6388, 540, 519, 645, 12396, 5690, 602, 3096, 513, 674, 9281, 302, 20313, 2676, 825, 2864, 982, 513, 1377, 8386, 7400, 19862, 267, 3097, 825, 547, 4383, 14622, 602, 723, 1044, 4362, 2394, 519, 942, 950, 741, 12543, 616, 2808, 563, 825, 8173, 825, 7117, 324, 815, 26275, 20075, 826, 4590, 825, 7117, 324, 269, 523, 28255, 4433, 994, 825, 1247, 711, 7117, 324, 18994, 318, 24105, 10031, 1038, 579, 815, 7117, 324, 19709, 28255, 4590, 1038, 585, 552, 538, 575, 269, 4532, 1211, 318, 539, 2471, 26086, 2187, 2018, 642, 815, 552, 269, 641, 22683, 26086, 994, 2018, 952, 642, 711, 538, 4362, 912, 3546, 4362, 314, 341, 316, 815, 552, 3097, 3546, 7117, 324, 269, 523, 28255, 17635, 994, 17264, 19638, 258, 3690, 1438, 1849, 3837, 912, 258, 476, 25263, 510, 20881, 496, 25426, 511, 25060, 483, 16088, 20881, 504, 32517, 501, 7511, 18777, 366, 16533, 365, 15159, 417, 28187, 31563, 320, 15010, 321, 8147, 536, 15010, 322, 8147, 421, 480, 352, 18263, 486, 16043, 495, 10524, 361, 16533, 365, 417, 375, 374, 419, 360, 489, 13601, 23521, 350, 320, 15010, 322, 7511, 20001, 373, 25707, 258, 13127, 364, 484, 19867, 478, 20069, 420, 25693, 25426, 368, 26406, 354, 25203, 372, 13213, 508, 7511, 30536, 25203, 368, 26406, 354, 25203, 372, 13213, 508, 12486, 3097, 258, 4469, 20477, 420, 25693, 21928, 302, 3799, 317, 274, 264, 17276, 365, 480, 24731, 22047, 18713, 378, 7511, 25263, 510, 20881, 496, 25426, 511, 25060, 483, 25707, 5228, 5299, 1104, 2620, 32476, 692, 3698, 1166, 20477, 16062, 6702, 718, 14116, 281, 8641, 264, 9847, 8641, 912, 825, 5727, 27987, 513, 1007, 3113, 602, 568, 519, 1098, 1438, 19479, 540, 575, 27969, 454, 825, 19479, 815, 2620, 32476, 14116, 994, 825, 2357, 1206, 815, 1592, 263, 26918, 269, 3200, 1182, 28829, 825, 1948, 1118, 4994, 762, 1592, 3097, 825, 562, 815, 7003, 263, 591, 1206, 994, 825, 585, 737, 538, 2039, 3799, 2187, 1038, 585, 1775, 538, 2039, 3799, 2187, 2018, 1948, 13182, 602, 6316, 630, 328, 267, 737, 264, 6818, 538, 519, 9864, 19479, 454, 2018, 952, 1775, 11203, 737, 543, 19479, 10947, 318, 8354, 263, 591, 1206, 5157, 3910, 2357, 1206, 25208, 8079, 568, 711, 7183, 912, 3546, 585, 795, 538, 2039, 3799, 2187, 7386, 1948, 13182, 602, 6316, 630, 330, 267, 795, 264, 6818, 538, 519, 9864, 19479, 454, 7386, 952, 1775, 11203, 795, 11203, 737, 543, 19479, 10947, 318, 8354, 263, 591, 1206, 25208, 3910, 2357, 1206, 14728, 8079, 568, 711, 7183, 912, 13376, 1948, 952, 630, 328, 267, 795, 264, 711, 2943, 3769, 267, 1039, 621, 547, 519, 19479, 454, 13376, 952, 19479, 10947, 318, 8354, 263, 591, 1206, 5157, 3910, 2357, 1206, 14728, 8079, 568, 7183, 912, 23351, 19479, 27044, 318, 8354, 263, 591, 1206, 5157, 3910, 2357, 1206, 14728, 7481, 825, 2132, 19479, 19638, 692, 3698, 631, 4306, 318, 22958, 297, 7568, 1731, 14116, 281, 8641, 264, 9847, 1592, 912, 825, 8173, 825, 30770, 513, 5934, 17364, 3529, 540, 22051, 3113, 575, 563, 825, 17776, 513, 1592, 540, 8728, 602, 17663, 519, 631, 4306, 630, 514, 17062, 1931, 1916, 825, 8173, 825, 546, 815, 15079, 23526, 1948, 546, 314, 341, 316, 568, 3808, 593, 3845, 547, 3529, 454, 825, 3529, 815, 32582, 19930, 1948, 1592, 540, 8728, 538, 17364, 3529, 454, 825, 533, 336, 815, 24623, 3891, 777, 26212, 640, 20075, 826, 3890, 567, 1948, 546, 314, 341, 316, 7851, 547, 1871, 630, 341, 267, 552, 14352, 340, 267, 341, 4917, 825, 533, 27942, 665, 1807, 815, 15079, 8587, 1948, 4786, 689, 14584, 547, 922, 533, 336, 1327, 1807, 692, 825, 1948, 585, 1142, 14584, 642, 540, 519, 3113, 267, 1039, 606, 7127, 547, 519, 10862, 20313, 2676, 825, 1948, 609, 519, 2707, 2348, 3845, 476, 271, 543, 782, 1866, 2348, 12808, 3845, 454, 825, 585, 642, 538, 575, 269, 3200, 1182, 10031, 1038, 952, 7003, 5560, 264, 2652, 476, 271, 281, 17264, 1948, 519, 1101, 6843, 454, 2018, 546, 314, 341, 316, 815, 476, 271, 3546, 1948, 1118, 621, 519, 3597, 454, 1038, 3116, 912, 2018, 546, 314, 341, 316, 815, 10581, 3488, 8882, 10807, 672, 1948, 2318, 20581, 454, 1038, 1948, 3355, 1125, 513, 10862, 20313, 1627, 609, 606, 7127, 630, 291, 314, 341, 3910, 630, 341, 267, 14085, 4297, 585, 1142, 14584, 642, 2676, 1038, 1948, 1141, 667, 314, 341, 316, 568, 519, 1883, 538, 519, 10862, 20313, 267, 543, 630, 341, 267, 14085, 264, 568, 519, 2404, 1871, 563, 1038, 533, 27942, 665, 1807, 314, 341, 316, 815, 533, 336, 14491, 5560, 314, 341, 3910, 630, 341, 267, 7183, 4917, 8931, 825, 1247, 711, 533, 336, 18994, 318, 24105, 10031, 1038, 1883, 267, 1871, 815, 533, 336, 31927, 28804, 4590, 1038, 579, 267, 6316, 815, 1871, 17264, 1948, 10002, 871, 24042, 689, 533, 336, 454, 1038, 1642, 533, 27942, 665, 1807, 314, 340, 316, 2018, 1948, 579, 568, 1100, 3476, 538, 533, 336, 454, 1038, 952, 6316, 568, 711, 7183, 912, 2018, 3529, 6910, 263, 8354, 264, 11434, 1948, 1039, 6316, 547, 3529, 454, 1038, 585, 3095, 538, 575, 269, 4532, 1211, 318, 539, 2471, 26086, 2187, 2018, 642, 815, 3095, 269, 641, 22683, 26086, 994, 2018, 952, 642, 538, 533, 27942, 665, 1807, 281, 8587, 1948, 3976, 642, 711, 2943, 538, 3529, 454, 3546, 1948, 1294, 952, 6316, 630, 340, 267, 341, 264, 1732, 13462, 642, 547, 519, 3395, 3529, 454, 3546, 530, 25885, 815, 3095, 4318, 2211, 4590, 3546, 952, 530, 25885, 2999, 546, 314, 341, 13912, 8587, 1948, 1732, 6316, 547, 642, 888, 7386, 546, 314, 341, 316, 815, 530, 25885, 8587, 1948, 9337, 519, 3845, 3097, 7386, 533, 336, 269, 26303, 9638, 27942, 665, 1807, 314, 341, 3910, 546, 314, 341, 3910, 630, 341, 267, 3095, 4297, 825, 1948, 9337, 519, 533, 336, 7127, 454, 825, 2132, 3529, 476, 7531, 5035, 3487, 819, 912, 825, 5727, 4462, 542, 1922, 785, 2497, 585, 4509, 771, 329, 2002, 5036, 27969, 454, 825, 1948, 29005, 19024, 1362, 454, 825, 1362, 19024, 912, 1038, 6449, 16435, 1824, 1029, 815, 1412, 318, 935, 1555, 518, 3299, 1412, 318, 324, 2211, 3299, 1412, 318, 21653, 3299, 1412, 318, 8001, 28847, 1038, 1219, 6449, 8181, 9191, 1345, 267, 8708, 267, 552, 2187, 2018, 5727, 8620, 513, 1007, 2990, 602, 568, 519, 6205, 540, 922, 1378, 1895, 27969, 454, 2018, 1582, 11519, 935, 1555, 518, 815, 8708, 672, 1948, 4704, 547, 3487, 819, 3236, 454, 2018, 1582, 11519, 324, 2211, 815, 552, 454, 2018, 1582, 11519, 21653, 815, 476, 272, 454, 2018, 1582, 11519, 8001, 815, 1582, 17264, 1948, 15007, 585, 513, 1895, 6205, 692, 1038, 1219, 3693, 4311, 2187, 2018, 5727, 27987, 3693, 6740, 693, 713, 2990, 27969, 454, 2018, 2132, 1582, 11519, 324, 2211, 3097, 8931, 825, 1948, 1857, 3487, 819, 2409, 454, 825, 1219, 1118, 14682, 4981, 4311, 267, 552, 2187, 1038, 5727, 13014, 513, 1007, 1895, 5627, 3693, 552, 267, 543, 2132, 922, 19024, 27969, 454, 1038, 2132, 1582, 10422, 3789, 4311, 267, 552, 994, 8931, 825, 1219, 1265, 4311, 267, 533, 2187, 1038, 5727, 8340, 338, 519, 1895, 5627, 533, 543, 2132, 519, 2990, 540, 922, 6205, 27969, 454, 1038, 952, 533, 11519, 8001, 11203, 533, 912, 2018, 533, 11519, 8001, 815, 1582, 26098, 9638, 11519, 8001, 264, 825, 1948, 7670, 1679, 533, 11519, 8001, 1310, 16571, 542, 454, 1038, 2132, 533, 11519, 8001, 3097, 8931, 825, 1219, 9769, 4311, 267, 533, 267, 7117, 2187, 1038, 5727, 300, 1120, 525, 519, 2516, 5627, 2609, 533, 543, 7117, 630, 604, 3982, 1040, 12163, 1038, 513, 815, 1582, 26098, 9638, 994, 1038, 536, 815, 1582, 26098, 32429, 994, 1038, 952, 513, 568, 711, 536, 912, 2018, 952, 513, 11519, 21653, 3436, 536, 11519, 21653, 912, 3546, 536, 11519, 8001, 815, 513, 3097, 3546, 513, 11519, 21653, 6834, 536, 11519, 21653, 454, 2018, 3116, 912, 3546, 513, 11519, 8001, 815, 536, 3097, 3546, 536, 11519, 21653, 6834, 513, 11519, 21653, 8528, 692, 3698, 631, 4306, 318, 298, 6350, 32039, 14116, 281, 8641, 264, 9847, 1592, 912, 825, 8173, 825, 30770, 513, 5934, 17364, 3529, 540, 513, 3113, 1210, 918, 6350, 32039, 781, 5690, 780, 825, 17776, 513, 1592, 540, 8728, 602, 17663, 519, 631, 4306, 563, 825, 634, 2609, 540, 519, 3113, 781, 8728, 616, 10924, 547, 581, 12035, 563, 825, 8173, 825, 3529, 815, 32582, 11434, 1948, 1592, 540, 8728, 538, 17364, 3529, 454, 825, 533, 336, 815, 1261, 777, 26212, 640, 20075, 826, 3890, 825, 1948, 13366, 616, 8728, 538, 717, 267, 609, 12035, 607, 1883, 454, 825, 4104, 815, 3487, 819, 3890, 1038, 1948, 1832, 3950, 9087, 4104, 13421, 454, 825, 2990, 815, 15079, 25639, 1948, 4786, 1142, 6843, 547, 922, 3487, 819, 7127, 692, 825, 585, 642, 538, 575, 269, 3200, 1182, 10031, 1038, 2990, 314, 341, 316, 815, 4104, 6230, 820, 14682, 4981, 17635, 994, 8931, 825, 585, 552, 538, 575, 269, 539, 2471, 10031, 1038, 533, 336, 14491, 16216, 4318, 2211, 19572, 552, 264, 476, 1948, 6316, 781, 3693, 568, 1028, 8999, 539, 547, 581, 922, 2597, 22562, 825, 2450, 815, 575, 269, 591, 23753, 18045, 4590, 825, 1247, 7003, 6025, 872, 264, 11203, 2450, 910, 476, 272, 543, 711, 533, 336, 18994, 318, 24105, 10031, 1038, 1948, 3529, 711, 17364, 543, 796, 15263, 539, 8728, 2611, 454, 1038, 2597, 267, 6316, 815, 533, 336, 31927, 28804, 4590, 1038, 579, 267, 642, 815, 6316, 269, 754, 9557, 4590, 1038, 513, 815, 4104, 26098, 263, 6570, 314, 340, 7481, 1038, 536, 815, 4104, 26098, 263, 6570, 314, 341, 7481, 1038, 952, 513, 11203, 536, 912, 2018, 3529, 6910, 263, 8354, 994, 2018, 4104, 26509, 542, 5416, 267, 536, 994, 825, 2132, 3529, 7531, 3698, 11741, 14116, 281, 8641, 264, 9847, 536, 944, 912, 825, 5727, 27987 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4761, 1062, 454, 274, 269, 5871, 2168, 2589, 540, 16236, 454, 290, 269, 4591, 2065, 4485, 547, 5883, 15629, 6114, 547, 16236, 454, 272, 269, 22165, 327, 1740, 543, 9066, 2553, 454, 273, 269, 11873, 11257, 971, 607, 10649, 267, 512, 2967, 16584, 267, 543, 7544, 454, 274, 269, 6052, 4915, 1519, 556, 5942, 543, 22591, 454, 291, 269, 8865, 1353, 281, 590, 11703, 5438, 1329, 1424, 10378, 910, 589, 9354, 1935, 547, 20547, 8194, 543, 2566, 4713, 4611, 689, 16236, 692, 7656, 269, 15465, 22948, 1282, 717, 4471, 1324, 281, 19484, 23539, 18963, 543, 30248, 454, 288, 269, 20223, 3339, 5288, 269, 7294, 31366, 454, 289, 269, 11790, 7700, 547, 1950, 16236, 6547, 454, 272, 269, 19881, 9271, 543, 911, 30864, 454, 273, 269, 20556, 6384, 1063, 519, 21549, 543, 519, 17680, 1197, 454, 274, 269, 8836, 2188, 12018, 16236, 4082, 454, 290, 269, 11150, 547, 1489, 2635, 5042, 4393, 454, 272, 269, 4750, 532, 543, 22192, 1603, 5751, 454, 273, 269, 2871, 3660, 11052, 543, 14839, 2553, 454, 274, 269, 31499, 7459, 899, 5042, 8965, 3797, 630, 30274, 1070, 10343, 543, 7029, 3797, 630, 16898, 1070, 543, 3750, 3350, 964, 31731, 1436, 543, 1065, 549, 22422, 630, 4932, 11403, 994, 291, 269, 7351, 1382, 281, 6732, 1895, 5626, 6304, 6971, 12675, 16236, 4524, 10835, 26331, 692, 4353, 269, 17583, 609, 9454, 1080, 281, 10289, 23839, 338, 1222, 543, 932, 2335, 9934, 454, 288, 269, 22548, 4328, 2474, 281, 23447, 1222, 267, 8756, 532, 267, 959, 766, 8756, 532, 454, 289, 269, 8466, 2796, 281, 5289, 1143, 543, 922, 3310, 593, 2413, 23447, 1222, 2259, 454, 290, 269, 9537, 540, 23447, 1222, 281, 2790, 267, 2168, 267, 543, 959, 766, 454, 291, 269, 15979, 543, 9021, 538, 8756, 532, 960, 454, 272, 269, 769, 11526, 9844, 543, 6302, 4259, 454, 273, 269, 2598, 1356, 333, 618, 543, 15418, 3157, 454, 274, 269, 12333, 3906, 543, 9479, 540, 2932, 454, 292, 269, 11644, 281, 15043, 16022, 5759, 1210, 10444, 4656, 543, 27733, 2553, 454, 293, 269, 7464, 3734, 1383, 281, 6276, 11709, 16217, 27895, 781, 7641, 1397, 834, 294, 10676, 1733, 7371, 19907, 257, 543, 2442, 11994, 540, 23447, 1222, 692, 309, 269, 3690, 322, 2056, 717, 4361, 281, 16949, 540, 13809, 883, 2290, 781, 5020, 9452, 454, 288, 269, 21931, 3797, 3741, 4294, 547, 16236, 6571, 454, 289, 269, 9828, 585, 2870, 2495, 1310, 2530, 454, 272, 269, 22684, 3785, 543, 3965, 13167, 454, 273, 269, 681, 3770, 338, 543, 18428, 16033, 908, 519, 21549, 454, 274, 269, 22384, 540, 2123, 2208, 3255, 16109, 689, 16236, 454, 290, 269, 7043, 3856, 2994, 585, 4509, 4296, 609, 6068, 3283, 945, 723, 5293, 2476, 454, 272, 269, 15765, 5326, 960, 543, 561, 16112, 29681, 2853, 454, 273, 269, 22034, 2029, 585, 5691, 18189, 5624, 454, 274, 269, 8490, 11215, 2950, 1472, 3838, 16236, 2833, 692, 9654, 269, 10390, 454, 288, 269, 12834, 540, 1883, 2798, 5941, 2429, 713, 3184, 454, 289, 269, 11559, 618, 585, 4797, 1565, 543, 1582, 7721, 680, 2610, 538, 16236, 7067, 454, 290, 269, 16952, 2200, 543, 8100, 585, 2417, 2542, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2252, 596, 4076, 4503, 2576, 2673, 547, 596, 267, 2436, 602, 1268, 568, 513, 1126, 267, 513, 2385, 267, 513, 23947, 267, 513, 24107, 610, 513, 1390, 3659, 267, 519, 1928, 596, 1745, 666, 581, 865, 11566, 267, 596, 949, 1745, 596, 3580, 2760, 12115, 610, 1265, 8788, 1586, 563, 2171, 2461, 28165, 543, 18507, 547, 6338, 596, 547, 16236, 19829, 267, 7067, 19995, 267, 16022, 543, 2278, 14529, 15607, 10557, 1107, 543, 10950, 1394, 938, 15210, 3659, 267, 20154, 23839, 267, 2271, 30698, 267, 1234, 5942, 23046, 31943, 518, 543, 4116, 15576, 645, 269, 1358, 616, 1312, 1934, 547, 15260, 675, 596, 602, 7772, 568, 2009, 543, 602, 707, 6068, 3283, 538, 13336, 616, 11488, 2648, 543, 7067, 1648, 563, 2171, 2461, 6158, 827, 6857, 20494, 1324, 267, 6857, 7067, 267, 519, 4276, 596, 666, 723, 609, 513, 6068, 835, 538, 13336, 543, 10489, 2056, 16236, 269, 1656, 1247, 891, 616, 3978, 3584, 267, 15576, 543, 14529, 15607, 3142, 519, 682, 6143, 2877, 547, 948, 596, 14634, 519, 3389, 1465, 563, 300, 16800, 20978, 918, 2969, 645, 1341, 13698, 5456, 292, 700, 7417, 454, 28716, 891, 22701, 22487, 2593, 585, 811, 689, 7605, 2106, 1341, 27239, 267, 7132, 803, 8615, 4360, 334, 4534, 543, 519, 1655, 9716, 1341, 5289, 9439, 267, 2472, 543, 2833, 18222, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 645, 7495, 312, 267, 631, 18853, 1299, 9501, 7644, 3951, 1315, 932, 2335, 9934, 1299, 23839, 338, 1222, 1315, 2558, 766, 932, 2335, 9934, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 267, 2104, 12206, 256, 4653, 649, 3513, 7832, 593, 513, 4241, 3460, 1394, 538, 942, 547, 2263, 513, 11358, 1974, 538, 1977, 1686, 910, 519, 6406, 2782, 5736, 269, 1284, 4465, 1405, 1175, 1445, 593, 12959, 543, 6214, 282, 3079, 267, 1577, 781, 4685, 883, 875, 1004, 5030, 267, 6068, 267, 543, 28078, 1282, 713, 13710, 4090, 602, 8032, 938, 4182, 781, 3961, 11014, 269, 1924, 10544, 707, 14165, 673, 942, 3684, 22970, 1317, 649, 2811, 1055, 547, 1995, 3140, 5708, 899, 2760, 1354, 2439, 20058, 267, 1450, 803, 547, 5862, 513, 4605, 540, 1018, 3232, 1272, 1522, 723, 1044, 899, 585, 8723, 11570, 2713, 538, 519, 2136, 2276, 1472, 519, 4571, 268, 866, 628, 2540, 269, 5994, 24971, 909, 693, 21554, 547, 948, 4043, 519, 1920, 3484, 267, 11504, 835, 268, 3336, 3506, 1141, 1453, 540, 782, 6502, 4121, 1927, 267, 610, 1256, 7680, 14297, 2749, 10754, 4904, 609, 22278, 9513, 741, 5370, 269, 5020, 6410, 693, 513, 14887, 10605, 982, 23600, 1281, 2221, 855, 1490, 574, 4364, 609, 3638, 5389, 543, 9395, 10275, 27848, 2950, 780, 3086, 267, 1577, 721, 6338, 596, 547, 513, 9135, 1369, 3140, 5708, 1572, 1412, 305, 558, 766, 8339, 11146, 2984, 1305, 1996, 8978, 10080, 666, 4001, 721, 1454, 811, 982, 2241, 10470, 4721, 610, 6653, 1439, 792, 906, 269, 1452, 8941, 7866, 875, 3347, 7960, 936, 942, 543, 8272, 549, 1042, 6848, 2418, 543, 8155, 269, 1635, 3695, 891, 6386, 267, 649, 2744, 5813, 883, 519, 12271, 543, 8186, 540, 1346, 945, 3357, 1354, 721, 780, 5978, 1445, 786, 581, 4481, 593, 834, 13563, 2437, 2495, 2984, 7184, 12082, 538, 3013, 781, 2250, 267, 3850, 3988, 547, 1921, 14156, 1247, 1565, 827, 1114, 21971, 269, 3776, 6074, 2796, 286, 634, 31341, 6681, 2053, 4478, 519, 6406, 2782, 950, 7015, 10692, 1996, 7015, 267, 15819, 10121, 2906, 543, 4152, 7554, 780, 3080, 9159, 1383, 540, 971, 3332, 568, 834, 294, 821, 2060, 634, 6489, 257, 676, 20152, 27508, 269, 5590, 9624, 519, 14784, 540, 519, 6406, 2782, 267, 25753, 27451, 744, 262, 295, 4673, 267, 922, 2178, 2914, 2683, 16502, 267, 4044, 919, 2591, 4547, 2390, 676, 2112, 267, 2530, 267, 543, 1514, 1689, 269, 3414, 1200, 4064, 267, 649, 7198, 24873, 1272, 22314, 267, 4008, 5107, 13346, 267, 543, 1007, 3029, 540, 2792, 6932, 780, 4131, 781, 1491, 513, 6251, 1413, 693, 930, 3344, 5935, 10618, 1287, 3379, 547, 1631, 269, 4438, 519, 6406, 2782, 5736, 267, 3377, 14612, 7444, 267, 5097, 3842, 5022, 5645, 676, 1688, 610, 9447, 998, 14786, 9102, 2395, 1310, 2621, 7018, 269, 25037, 602, 609, 2413, 8216, 20261, 5867, 610, 1483, 6066, 2518, 13739, 338, 256, 901, 3017, 13497, 5222, 1915, 4205, 538, 3140, 32741, 267, 4946, 3178, 543, 13597, 780, 11101, 267, 2015, 875, 6848, 6788, 6766, 11509, 12352, 269, 6468, 1185, 3908, 2924, 543, 3255, 267, 1818, 7365, 1898, 585, 2883, 3354, 269, 8616, 9944, 891, 10148, 267, 1950, 4664, 25577, 267, 3056, 547, 13730, 2648, 12602, 267, 5728, 2119, 7370, 267, 2295, 3691, 6545, 267, 543, 15400, 19647, 269, 7335, 827, 891, 2833, 3091, 3407, 4245, 827, 6043, 267, 8990, 267, 543, 1582, 22523, 780, 2026, 27503, 12206, 267, 1620, 519, 13857, 16799, 1063, 23610, 1686, 543, 3860, 9423, 2636, 721, 547, 5660, 1312, 10459, 1732, 269, 2991, 782, 267, 1169, 3209, 1305, 538, 513, 1808, 3140, 1974, 8309, 547, 8497, 2686, 6561, 543, 8716, 7279, 827, 14758, 8153, 18125, 540, 1686, 780, 1103, 3932, 267, 18167, 883, 3140, 15832, 10704, 593, 519, 1977, 6406, 2782, 5736, 10741, 9486, 5196, 519, 2729, 540, 2043, 21679, 609, 26832, 2242, 269, 898, 11414, 721, 6568, 267, 9639, 267, 543, 7071, 585, 3356, 1500, 2094, 1287, 269, 1306, 15826, 3988, 267, 7421, 891, 6386, 28382, 721, 609, 2565, 3206, 1983, 2556, 585, 26762, 6946, 6106, 540, 1480, 2486, 2066, 2230, 543, 942, 269, 8414, 2542, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 9288, 13185, 30474, 2290, 4303, 454, 9288, 13185, 30474, 2290, 4303, 267, 3370, 538, 476, 1220, 271, 267, 568, 513, 1655, 18522, 4015, 540, 3594, 676, 1977, 9644, 626, 6424, 20767, 30213, 269, 634, 1433, 568, 9674, 883, 1079, 2694, 269, 634, 1101, 851, 5161, 540, 3594, 827, 20767, 30213, 779, 1272, 1354, 1010, 1847, 547, 11870, 22929, 267, 5333, 267, 1519, 1010, 909, 32523, 538, 28180, 681, 1446, 662, 267, 3345, 10491, 267, 1010, 942, 2324, 9642, 6009, 538, 1715, 3840, 4975, 267, 543, 513, 3643, 547, 1715, 3840, 689, 513, 6689, 3659, 543, 1200, 29424, 7219, 880, 8004, 23136, 269, 634, 2034, 3296, 267, 968, 5719, 5060, 5608, 6645, 540, 20767, 30213, 779, 1847, 547, 11870, 22929, 609, 1010, 7649, 670, 7676, 267, 1419, 5373, 9644, 689, 1010, 3646, 547, 2661, 538, 5333, 1510, 6340, 519, 3943, 1893, 543, 1010, 21616, 8942, 547, 1451, 621, 563, 306, 10176, 1495, 22506, 630, 674, 4629, 312, 291, 267, 476, 277, 2904, 476, 6977, 277, 1107, 476, 2537, 5181, 476, 4350, 280, 264, 729, 606, 22341, 11719, 626, 543, 519, 13653, 540, 25164, 4519, 267, 513, 4791, 1505, 585, 8156, 2618, 31752, 998, 5188, 1063, 513, 3461, 543, 513, 25164, 3315, 560, 12171, 516, 644, 729, 4535, 547, 8895, 6509, 6014, 3237, 538, 519, 5651, 822, 1014, 4884, 540, 6154, 756, 1120, 267, 538, 519, 22341, 7276, 269, 1261, 844, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 290, 2753, 2782, 16527, 257, 607, 851, 540, 834, 11227, 1315, 23620, 1315, 8466, 1315, 1977, 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, 634, 14730, 5680, 281, 589, 26726, 21784, 547, 15536, 9798, 543, 519, 10020, 540, 4521, 538, 3204, 6819, 898, 692, 7072, 692, 763, 3059, 1158, 814, 9450, 28354, 538, 2487, 1296, 267, 3056, 547, 1007, 3255, 543, 2591, 538, 2166, 1499, 10628, 269, 2290, 971, 4161, 2501, 538, 519, 1106, 540, 519, 834, 323, 1046, 1357, 2437, 513, 851, 540, 519, 4950, 602, 568, 17543, 6456, 543, 3340, 1808, 3301, 267, 19383, 267, 610, 28431, 547, 1569, 269, 2755, 621, 949, 3100, 899, 513, 11397, 1523, 267, 519, 4158, 1357, 13514, 1713, 6937, 547, 2043, 267, 4213, 267, 543, 6608, 7567, 269, 901, 3184, 12538, 883, 519, 14960, 540, 519, 4158, 1357, 267, 922, 1761, 12178, 267, 543, 519, 1909, 540, 1876, 538, 15725, 713, 804, 663, 32347, 7944, 540, 519, 4950, 780, 8139, 519, 14730, 5680, 692, 2414, 3927, 2232, 519, 6937, 2404, 609, 519, 4158, 1357, 267, 621, 568, 2629, 1101, 547, 1174, 1018, 621, 14122, 269, 2311, 922, 4295, 267, 519, 4158, 1357, 4564, 513, 1507, 6712, 540, 519, 2620, 1357 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 12163, 27026, 4238, 1246, 513, 8237, 22190, 569, 10687, 321, 710, 1184, 780, 272, 269, 4578, 568, 8237, 883, 2516, 1759, 593, 10569, 563, 273, 269, 589, 1599, 568, 4294, 547, 1142, 1895, 563, 274, 269, 634, 2164, 616, 5916, 563, 20701, 5814, 11885, 607, 5286, 454, 5814, 21795, 607, 19073, 7531, 3698, 1449, 14682, 4981, 2421, 3890, 9847, 7183, 912, 825, 17093, 815, 19073, 6185, 1092, 20988, 18692, 1038, 13634, 2018, 834, 821, 9899, 1496, 272, 267, 476, 272, 267, 476, 273, 267, 476, 273, 267, 476, 274, 267, 476, 274, 16689, 2018, 834, 18314, 9899, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 16689, 2018, 834, 22764, 9899, 1496, 1911, 267, 476, 1911, 267, 476, 1911, 267, 476, 1220, 267, 476, 1220, 267, 476, 1220, 16689, 1038, 7684, 454, 825, 25589, 825, 1948, 3143, 4019, 5106, 814, 1044, 2944, 593, 519, 6828, 3528, 1843, 267, 865, 519, 6828, 3528, 454, 825, 1948, 568, 8120, 563, 825, 2516, 815, 17093, 3052, 4981, 2421, 8443, 257, 821, 257, 7481, 825, 10569, 815, 1496, 3881, 314, 271, 316, 585, 1714, 339, 538, 2516, 2639, 825, 546, 12028, 815, 1496, 3881, 314, 272, 316, 585, 1714, 339, 538, 2516, 6540, 825, 7682, 782, 8443, 6943, 31107, 264, 2652, 703, 585, 1883, 538, 10569, 7481, 825, 7682, 782, 8443, 6943, 29254, 264, 2652, 19073, 6185, 1092, 20988, 585, 17093, 538, 546, 12028, 20285, 825, 7682, 10569, 2652, 1496, 272, 267, 476, 273, 267, 476, 274, 6540, 825, 1948, 589, 17093, 568, 2813, 585, 1142, 1895, 563, 825, 7682, 5286, 15126, 318, 16029, 29254, 338, 314, 271, 6012, 257, 821, 257, 4940, 11161, 267, 5286, 15126, 8443, 272, 267, 476, 272, 28413, 825, 7682, 5286, 15126, 318, 16029, 29254, 338, 314, 271, 6012, 257, 18314, 257, 4940, 11161, 267, 5286, 15126, 8443, 272, 267, 476, 273, 8079, 2020, 825, 7682, 5286, 15126, 318, 16029, 29254, 338, 314, 272, 6012, 257, 821, 257, 4940, 11161, 267, 5286, 15126, 8443, 273, 267, 476, 273, 28413, 825, 7682, 5286, 15126, 318, 16029, 29254, 338, 314, 272, 6012, 257, 18314, 257, 4940, 11161, 267, 5286, 15126, 8443, 274, 267, 476, 275, 8079, 2020, 825, 7682, 5286, 15126, 318, 16029, 29254, 338, 314, 273, 6012, 257, 821, 257, 4940, 11161, 267, 5286, 15126, 8443, 274, 267, 476, 274, 28413, 825, 7682, 5286, 15126, 318, 16029, 29254, 338, 314, 273, 6012, 257, 18314, 257, 4940, 11161, 267, 5286, 15126, 8443, 276, 267, 476, 277, 8079, 2020, 825, 1948, 20548, 26021, 3252, 666, 581, 4294, 547, 1142, 1895, 781, 9587, 563, 825, 1948, 454, 825, 1948, 634, 17093, 4994, 568, 519, 1895, 2421, 6241, 267, 519, 2418, 616, 519, 14919, 1599, 454, 825, 1948, 4294, 547, 1142, 1895, 781, 17093, 585, 1142, 6241, 563, 825, 1948, 454, 825, 1948, 11910, 532, 2040, 3890, 15824, 519, 834, 1952, 569, 257, 593, 519, 6828, 3528, 1843, 269, 901, 7024, 513, 454, 825, 1948, 1007, 667, 293, 609, 4737, 17523, 607, 519, 1895, 676, 1883, 267, 519, 1871, 607, 519, 6241, 4433, 1916, 825, 18304, 32470, 815, 17093, 3052, 4981, 2421, 8443, 257, 821, 19312, 1040, 8999, 10797, 825, 7682, 18304, 32470, 7456, 665, 314, 272, 267, 834, 18314, 19312, 2652, 476, 274, 454, 825, 7682, 18304, 32470, 7456, 665, 314, 273, 267, 834, 18314, 19312, 2652, 476, 278, 454, 825, 7682, 18304, 32470, 7456, 665, 314, 274, 267, 834, 18314, 19312, 2652, 476, 1556, 692, 825, 7682, 5286, 15126, 318, 16029, 4433, 4548, 32470, 14277, 18314, 257, 4940, 11161, 267, 5286, 15126, 8443, 274, 267, 476, 278, 267, 476, 1556, 8079, 2020, 825, 1948, 25639, 1079, 454, 825, 1948, 835, 567, 1614, 454, 825, 1948, 476, 272, 672, 476, 1911, 672, 476, 274, 454, 825, 1948, 476, 273, 672, 476, 1911, 672, 476, 274, 454, 825, 1948, 476, 273, 672, 476, 1220, 672, 476, 275, 454, 825, 1948, 476, 274, 672, 476, 1220, 672, 476, 1556, 454, 825, 1948, 692, 825, 1948, 16849, 513, 1239, 18134, 454, 825, 575, 321, 8548, 322, 815, 17093, 3052, 4981, 2421, 8443, 257, 821, 2580, 834, 22764, 19312, 1040, 8999, 4590, 825, 7682, 575, 321, 8548, 322, 7456, 665, 27007, 272, 267, 476, 1911, 1070, 834, 18314, 19312, 2652, 476, 274, 454, 825, 7682, 575, 321, 8548, 322, 7456, 665, 27007, 273, 267, 476, 1911, 1070, 834, 18314, 19312, 2652, 476, 274, 454, 825, 7682, 575, 321, 8548, 322, 7456, 665, 27007, 273, 267, 476, 1220, 1070, 834, 18314, 19312, 2652, 476, 275, 454, 825, 7682, 575, 321, 8548, 322, 7456, 665, 27007, 274, 267, 476, 1220, 1070, 834, 18314, 19312, 2652, 476, 1556, 7531, 3698, 1449, 14682, 4981, 318, 2421, 6958, 4233, 3890, 9847, 7183, 912, 825, 17093, 815, 19073, 6185, 1092, 20988, 18692, 1038, 13634, 2018, 834, 821, 9899, 30585, 1015, 267, 476, 271, 267, 476, 276, 267, 476, 1015, 267, 476, 1839, 267, 476, 2004, 267, 476, 1911, 267, 476, 1911, 271, 16689, 1038, 7684, 454, 825, 25589, 825, 1219, 7584, 518, 263, 1998, 281, 703, 264, 9847, 10581, 912, 1038, 1948, 634, 23454, 1599, 786, 581, 1572, 2899, 609, 1142, 4994, 1871, 563, 1038, 1130, 815, 17093, 7456, 665, 314, 1998, 267, 834, 821, 31116, 1038, 952, 1130, 10922, 476, 271, 269, 271, 912, 2018, 2132, 476, 271, 269, 271, 454, 1038, 952, 1130, 10922, 476, 1015, 269, 271, 912, 2018, 2132, 476, 276, 269, 271, 454, 1038, 952, 1130, 10922, 476, 2004, 269, 271, 912, 2018, 2132, 476, 1839, 269, 271, 454, 1038, 2132, 476, 1911, 269, 271, 692, 825, 1948, 634, 4019, 1599, 630, 12248, 264, 786, 2132, 513, 17093, 609, 519, 4994, 1373, 519, 1895, 2421, 1883, 2676, 825, 1948, 454, 825, 2516, 815, 17093, 3052, 4981, 2421, 16868, 1678, 518, 1040, 12248, 4590, 825, 7682, 2516, 28827, 30419, 8217, 3890, 2652, 1496, 271, 269, 271, 267, 476, 276, 269, 271, 267, 476, 1839, 269, 271, 267, 476, 1911, 269, 271, 2639, 825, 7682, 2516, 14277, 821, 257, 4940, 1729, 8217, 3890, 2652, 1496, 273, 316, 2608, 476, 275, 7531, 3698, 1449, 6831, 2396, 318, 12000, 12198, 3890, 9847, 7183, 912, 825, 1219, 4870, 622, 23544, 19906, 281, 19073, 2529, 7685, 264, 9847, 10581, 912, 1038, 1948, 1411, 1223, 1589, 540, 713, 1599, 607, 606, 834, 1952, 569, 4671, 1314, 257, 1599, 267, 799, 454, 1038, 1948, 7024, 513, 1871, 609, 513, 1114, 3454, 2557, 1759, 593, 519, 19670, 454, 1038, 1948, 2418, 563, 1038, 2132, 630, 1551, 2608, 476, 272, 269, 272, 1040, 8999, 10797, 825, 17093, 815, 19073, 6185, 1092, 20988, 18692, 1038, 13634, 2018, 834, 821, 9899, 1496, 272, 267, 476, 272, 267, 476, 272, 267, 476, 273, 267, 476, 273, 267, 476, 273, 16689, 2018, 834, 18314, 9899, 1496, 1015, 267, 476, 736, 267, 476, 1789, 267, 476, 2412, 267, 476, 2004, 267, 476, 2568, 16689, 1038, 7684, 454, 825, 12467, 825, 7682, 17093, 3052, 4981, 2421, 2891, 821, 20257, 12000, 26021, 263, 514, 4148, 622, 23544, 264, 14277, 18314, 257, 4940, 1729, 8217, 3890, 2652, 1496, 5780, 269, 271, 267, 476, 13679, 269, 271, 6540, 825, 1948, 1411, 666, 849, 1780, 2789, 30843, 3252, 267, 3478, 1394, 513, 6241, 454, 825, 1948, 585, 1142, 2707, 6241, 1315, 30843, 4999, 630, 514, 513, 3818, 8161, 994, 825, 4903, 338, 815, 17093, 3052, 4981, 2421, 2891, 821, 20257, 12000, 26021, 8443, 257, 11743, 2580, 834, 10946, 2580, 4870, 622, 23544, 20285, 825, 7682, 4903, 338, 7456, 665, 18020, 9497, 18314, 2580, 834, 11743, 8442, 4940, 1729, 8217, 3890, 2652, 1496, 736, 269, 271, 267, 476, 2004, 269, 271, 2639, 825, 7682, 4903, 338, 7456, 665, 18020, 9497, 18314, 2580, 834, 10946, 8442, 4940, 1729, 8217, 3890, 2652, 1496, 1789, 267, 476, 2568, 2639, 825, 7682, 4903, 338, 7456, 665, 18020, 9497, 18314, 2580, 834, 514, 4148, 622, 23544, 8442, 4940, 1729, 8217, 3890, 2652, 1496, 5780, 269, 271, 267, 476, 13679, 269, 271, 6540, 825, 1948, 589, 3787, 15777, 3070, 267, 952, 596, 1152, 1616, 513, 2582, 6241, 267, 1131, 581, 547, 454, 825, 1948, 1685, 519, 14919, 3252, 593, 519, 6241, 630, 338, 7685, 264, 4805, 563, 825, 4903, 338, 815, 17093, 3052, 4981, 2421, 2891, 821, 8442, 14277, 18314, 257, 4940, 12000, 26021, 8443, 257, 11743, 2580, 834, 10946, 2580, 4870, 622, 23544, 20285, 825, 7682, 4903, 338, 14277, 11743, 257, 4940, 1729, 8217, 3890, 2652, 1496, 736, 269, 271, 267, 476, 2004, 269, 271, 2639, 825, 7682, 4903, 338, 14277, 10946, 257, 4940, 1729, 8217, 3890, 2652, 1496, 1789, 267, 476, 2568, 2639, 825, 7682, 4903, 338, 14277, 514, 4148, 622, 23544, 257, 4940, 1729, 8217, 3890, 2652, 1496, 5780, 269, 271, 267, 476, 13679, 269, 271, 6540, 454, 3698, 1449, 318, 1952, 569, 3890, 9847, 7183, 912, 825, 1948, 15233, 10943, 1080, 519, 1843, 883, 4773, 630, 4900, 610, 9587, 264, 543, 6677, 22760, 919, 519, 454, 825, 1948, 2164, 269, 898, 781, 519, 1034, 2489, 1106, 540, 1895, 2421, 692, 825, 1572, 318, 5976, 281, 1592, 314, 1598, 316, 815, 29129, 825, 1219, 1250, 318, 1952, 569, 4433, 15036, 281, 19073, 2529, 7685, 264, 9847, 1193, 912, 1038, 1820, 6600, 257, 6943, 4433, 15036, 264, 2652, 2715, 6943, 4433, 15036, 14587, 2715, 31138, 348, 5602, 1038, 1572, 318, 5976, 6910, 4433, 15036, 20508, 994, 1038, 2132, 1945, 2608, 476, 272, 269, 272, 692, 825, 17093, 815, 19073, 6185, 1092, 20988, 18692, 1038, 13634, 2018, 834, 821, 9899, 1496, 272, 267, 476, 272, 267, 476, 273, 267, 476, 273, 267, 476, 274, 16689, 2018, 834, 18314, 9899, 1496, 1015, 267, 476, 736, 267, 476, 1789, 267, 476, 2412, 267, 476, 2004, 16689, 1038, 7684, 454, 825, 12467, 825, 1948, 454, 825, 1948, 7852, 284, 271, 1797, 4019, 519, 1599, 585, 1142, 6241, 630, 718, 9343, 994, 825, 1948, 454, 825, 1948, 7852, 284, 272, 1797, 4019, 519, 1599, 585, 1142, 4737, 630, 718, 9587, 994, 825, 1948, 454, 825, 17093, 269, 1952, 569, 30044, 318, 1952, 569, 994, 825, 7682, 1572, 318, 5976, 2652, 17093, 31815, 8435, 30419, 8217, 3890, 2652, 22373, 821, 2580, 834, 18314, 257, 6540, 825, 1572, 318, 5976, 269, 27234, 4590, 825, 17093, 815, 17093, 269, 1952, 569, 30044, 318, 1952, 569, 267, 7852, 284, 272, 994, 825, 7682, 1572, 318, 5976, 2652, 17093, 28827, 30419, 8217, 3890, 2652, 1496, 271, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 6540, 454, 3698, 1449, 4671, 4920, 845, 3890, 9847, 7183, 912, 825, 1948, 17992, 568, 2147, 547, 4019, 267, 2705, 513, 3787, 811, 25516, 563, 825, 1948, 454, 825, 1948, 634, 1599, 596, 946, 666, 912, 825, 1948, 454, 825, 1948, 2608, 21277, 576, 513, 22185, 1871, 547, 547, 581, 1933, 4751, 547, 519, 3337, 540, 519, 1895, 563, 825, 1948, 2608, 17776, 606, 1843, 630, 338, 7685, 610, 667, 293, 24047, 538, 519, 1482, 3337, 607, 519, 1895, 563, 825, 1948, 2608, 898, 1590, 711, 4573, 622, 621, 781, 3403, 780, 825, 1219, 1205, 14682, 4981, 318, 11743, 14116, 4981, 281, 19073, 6185, 1092, 20988, 264, 9847, 10581, 912, 1038, 1820, 6600, 257, 6943, 14116, 4981, 264, 2652, 2715, 6943, 14116, 4981, 14587, 2715, 16766, 348, 5602, 1038, 2132, 1895, 32557, 10797, 825, 17093, 815, 19073, 6185, 1092, 20988, 18692, 1038, 13634, 2018, 834, 4486, 9899, 22373, 320, 2580, 834, 321, 2580, 834, 322, 19312, 2608, 476, 275, 2676, 2018, 834, 7407, 9899, 5286, 30784, 1052, 263, 1321, 269, 271, 13211, 1038, 7684, 454, 825, 12467, 825, 575, 815, 17093, 3052, 4981, 2421, 2891, 4486, 8442, 14277, 7407, 31116, 825, 1820, 14116, 6745, 4920, 845, 263, 1326, 14682, 4981, 318, 11743, 11723, 692, 3698, 1449, 14067, 22326, 3890, 9847, 7183, 912, 825, 5727, 1805, 22326, 9187, 1824, 9587, 883, 9343, 269, 1133, 560, 22326, 9187, 1824, 689, 9343, 9847, 9587, 27969, 692, 825, 17093, 815, 19073, 6185, 1092, 20988, 20719, 257, 821, 9899, 1496, 272, 267, 476, 273, 267, 476, 274, 3910, 834, 18314, 9899, 1496, 275, 267, 476, 276, 267, 476, 277, 316, 9574, 4994, 284, 14277, 320, 2580, 834, 321, 2580, 834, 322, 19312, 2020, 825, 1948, 623, 643, 582, 9587, 883, 9343, 267, 6721, 513, 19073, 2529, 7685, 454, 825, 30528, 815, 17093, 14714, 871, 10797, 825, 1948, 513, 835, 476, 272, 454, 825, 1948, 567, 1079, 476, 275, 454, 825, 1948, 536, 835, 476, 273, 454, 825, 1948, 567, 1079, 476, 275, 454, 825, 1948, 524, 835, 476, 274 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5814, 14854, 454, 5814, 4351, 692, 3698, 2721, 306, 852, 4148, 820, 306, 728, 10857, 2654, 267, 5086, 267, 3178, 2187, 453, 343, 284, 1428, 454, 14851, 3178, 2525, 271, 912, 453, 453, 339, 31103, 269, 3453, 10857, 2654, 994, 28432, 912, 453, 453, 9526, 306, 852, 4148, 820, 306, 728, 10857, 2654, 270, 274, 269, 271, 267, 5086, 21147, 267, 3178, 268, 272, 994, 453, 339, 31103, 16192, 263, 4120, 994, 14851, 3178, 2525, 271, 912, 453, 453, 339, 31103, 269, 3453, 10857, 2654, 994, 28432, 912, 453, 453, 9526, 306, 852, 4148, 820, 306, 728, 10857, 2654, 270, 274, 269, 271, 267, 5086, 21147, 267, 3178, 268, 272, 994, 453, 339, 31103, 16000, 263, 4120, 265, 273, 994, 14851, 3178, 2525, 271, 912, 453, 453, 339, 31103, 269, 3453, 10857, 2654, 994, 28432, 912, 453, 453, 9526, 306, 852, 4148, 820, 306, 728, 10857, 2654, 270, 274, 269, 271, 267, 5086, 21147, 267, 3178, 268, 272, 994, 453, 339, 31103, 16192, 263, 4120, 994, 14851, 3178, 2525, 271, 912, 453, 453, 339, 31103, 269, 3453, 10857, 2654, 994, 28432, 912, 453, 453, 9526, 306, 852, 4148, 820, 306, 728, 10857, 2654, 270, 274, 269, 271, 267, 5086, 21147, 267, 3178, 268, 272, 2020, 338, 1938, 284, 275, 454, 339, 31103, 19544, 573, 564, 31103, 4590, 339, 31103, 4732, 32497, 263, 271, 994, 339, 31103, 4877, 523, 1575, 4590, 339, 31103, 15630, 1842, 8987, 1220, 267, 910, 1220, 994, 339, 31103, 4877, 754, 1144, 4590, 1721, 1775, 538, 2039, 4433, 1938, 2187, 453, 9526, 306, 852, 4148, 820, 306, 728, 263, 3199, 267, 476, 5197, 269, 271, 4882, 1938, 267, 476, 274, 994, 453, 339, 31103, 16000, 263, 11740, 269, 271, 4882, 1938, 994, 339, 31103, 20216, 527, 517, 28781, 3890, 0, 5228, 23508, 1104, 2037, 975, 324, 24653, 5035, 12476, 25618, 344, 281, 5897, 825, 1219, 6449, 8181, 9191, 1345, 267, 23508, 8266, 8029, 1038, 1582, 11519, 523, 975, 324, 8266, 815, 23508, 8266, 5897, 825, 1219, 1404, 4311, 8029, 1038, 5727, 1477, 1038, 15824, 519, 4640, 1210, 519, 1843, 1477, 1038, 4164, 6769, 2018, 1582, 281, 519, 1843, 1477, 1038, 2132, 6769, 2018, 7183, 1477, 1038, 5727, 1477, 1038, 1582, 269, 704, 845, 23919, 1538, 344, 14052, 5897, 825, 1219, 1685, 23919, 1538, 344, 4311, 8029, 1038, 5727, 1477, 1038, 630, 9767, 568, 519, 3593, 3418, 1038, 901, 840, 13257, 519, 1101, 4640, 267, 1477, 1038, 602, 2982, 596, 513, 23508, 781, 28135, 543, 596, 8359, 952, 547, 1491, 621, 610, 2490, 621, 1524, 267, 1477, 1038, 543, 2982, 596, 513, 1114, 835, 2394, 596, 8359, 835, 610, 596, 6603, 519, 2063, 23508, 23228, 1038, 4164, 6769, 2018, 7183, 1477, 1038, 2132, 6769, 2018, 7183, 1477, 1038, 5727, 5897, 1038, 585, 1535, 538, 2039, 12759, 4311, 11519, 523, 975, 324, 8266, 264, 8029, 2018, 1699, 5319, 975, 324, 815, 1582, 11519, 523, 975, 324, 8266, 20572, 15947, 2018, 952, 263, 9690, 5319, 975, 324, 269, 4310, 2652, 8771, 8029, 3546, 1820, 2891, 523, 975, 324, 1297, 2715, 271, 348, 3568, 281, 2715, 272, 348, 1269, 2668, 8971, 3287, 267, 1699, 5319, 975, 324, 6230, 2292, 17903, 3546, 1820, 2891, 4777, 596, 1616, 547, 1832, 621, 630, 312, 264, 610, 798, 596, 1616, 547, 1847, 593, 630, 301, 264, 11631, 286, 1422, 333, 14826, 14744, 3546, 2626, 815, 3403, 2891, 312, 610, 715, 7790, 14744, 17264, 1477, 3546, 952, 630, 24987, 2652, 834, 312, 257, 610, 2626, 2652, 834, 344, 257, 8029, 7386, 1820, 2891, 15124, 14744, 7386, 1820, 2891, 9767, 8359, 23508, 1297, 2715, 271, 348, 543, 621, 3568, 281, 2715, 272, 348, 1269, 2668, 8971, 3287, 267, 1699, 5319, 975, 324, 6230, 2292, 17903, 7386, 1699, 5319, 975, 324, 269, 4310, 815, 6936, 1477, 7386, 2736, 1477, 3546, 8640, 630, 24987, 2652, 834, 301, 257, 610, 2626, 2652, 834, 333, 257, 8029, 7386, 1699, 5319, 975, 324, 269, 4310, 815, 6936, 1477, 7386, 1820, 2891, 302, 330, 267, 13071, 1847, 593, 29389, 3418, 2018, 3116, 6769, 3546, 1820, 2891, 523, 975, 324, 1297, 2715, 271, 348, 3568, 281, 2715, 272, 348, 1269, 2668, 8971, 3287, 267, 1699, 5319, 975, 324, 6230, 2292, 17903, 3546, 1820, 2891, 3719, 267, 713, 23508, 729, 2907, 8118, 865, 596, 666, 711, 3409, 621, 1862, 315, 333, 14826, 14744, 5897, 825, 1219, 4159, 4311, 8029, 1038, 2132, 9497, 1607, 4640, 2982, 596, 519, 3330, 540, 606, 23508, 267, 543, 952, 596, 1616, 547, 1832, 621, 596, 4283, 519, 4484, 1412, 312, 3299, 543, 952, 596, 1810, 1405, 4283, 1412, 301, 8339, 315, 333, 713, 786, 979, 593, 2394, 596, 1832, 513, 23508, 610, 10443, 856, 540, 1007, 3283, 1701, 3418, 0, 2745, 3488, 2411, 955, 5073, 4067, 815, 3403, 2891, 11767, 707, 2012, 281, 19515, 2745, 2891, 8702, 2580, 2012, 267, 834, 1729, 1250, 1297, 27378, 3014, 910, 318, 10559, 333, 4840, 257, 9767, 1376, 543, 707, 6060, 568, 476, 1911, 543, 1169, 12161, 596, 786, 6336, 476, 1015, 2798, 1434, 9939, 910, 318, 268, 19515, 2745, 3488, 2411, 955, 17210, 5814, 4351, 454, 16557, 815, 476, 1911, 454, 1492, 20311, 815, 4351, 27110, 263, 272, 267, 1015, 994, 516, 14725, 815, 834, 344, 4840, 6112, 556, 14725, 2652, 834, 344, 13426, 825, 2119, 912, 1038, 3593, 318, 29674, 815, 703, 9272, 3488, 29674, 513, 1297, 1063, 476, 272, 547, 476, 1015, 281, 1412, 4917, 1038, 1247, 6936, 912, 2018, 952, 6060, 10922, 476, 271, 2433, 3097, 25639, 1820, 3488, 7717, 787, 596, 4503, 707, 6060, 568, 281, 22207, 16557, 994, 25639, 2736, 454, 2018, 952, 630, 12528, 318, 29674, 2652, 519, 20311, 2187, 3546, 1820, 3488, 2411, 955, 5073, 3546, 1820, 3488, 6202, 2944, 602, 32075, 338, 2953, 256, 519, 1297, 729, 281, 22207, 519, 20311, 994, 3546, 1820, 3488, 7312, 6060, 568, 281, 630, 3299, 16557, 10086, 264, 1134, 2944, 256, 5073, 3546, 2736, 454, 2018, 952, 630, 12528, 318, 29674, 3436, 519, 20311, 2187, 3546, 1820, 2891, 310, 3994, 256, 1411, 31665, 1932, 1164, 8627, 26008, 5602, 3546, 6060, 20699, 476, 1015, 454, 3546, 1820, 3488, 2411, 955, 5073, 3546, 3593, 318, 29674, 815, 703, 9272, 2891, 2521, 547, 7058, 519, 1297, 281, 27363, 2018, 952, 630, 12528, 318, 29674, 2999, 519, 20311, 2187, 3546, 1820, 2891, 310, 3994, 256, 1411, 31665, 1932, 1970, 8627, 26008, 5602, 3546, 6060, 20699, 476, 1015, 454, 3546, 1820, 3488, 2411, 955, 5073, 3546, 3593, 318, 29674, 815, 703, 9272, 2891, 2521, 547, 7058, 519, 1297, 281, 27363, 1038, 556, 14725, 815, 3403, 2891, 11767, 586, 547, 556, 14725, 610, 1022, 3364, 3116, 547, 1439, 281, 19515, 1038, 952, 556, 14725, 2652, 1412, 344, 12466, 2018, 6060, 815, 476, 1911, 454, 2018, 519, 20311, 815, 4351, 27110, 263, 272, 267, 476, 1015, 994, 825, 4849, 912, 1038, 1820, 3488, 9767, 1705, 842, 4283, 513, 1297, 30314, 5073, 1038, 1820, 3488, 2411, 955, 17210, 19638, 0, 2745, 3488, 5257, 454, 272, 269, 19410, 827, 519, 2009, 3977, 2418, 540, 519, 1739, 3009, 538, 5124, 543, 875, 596, 1131, 454, 1478, 2492, 519, 19363, 950, 1210, 1114, 5124, 8747, 454, 5257, 17210, 3698, 946, 318, 14310, 5334, 727, 3602, 3287, 2187, 825, 1948, 798, 1945, 609, 1267, 454, 825, 1820, 31114, 2020, 14310, 815, 476, 278, 270, 276, 692, 2745, 3488, 5257, 454, 2026, 6700, 676, 519, 2243, 267, 519, 1292, 3390, 609, 891, 3515, 540, 3009, 568, 602, 1114, 5124, 8747, 786, 4612, 3097, 1492, 26230, 11346, 8335, 780, 23911, 476, 273, 11859, 786, 4612, 519, 26230, 11346, 607, 606, 8870, 6498, 952, 519, 11378, 616, 9981, 780, 23911, 476, 274, 11859, 786, 4612, 519, 26230, 11346, 607, 513, 13735, 1448, 6498, 780, 6546, 1767, 267, 519, 1267, 4756, 786, 581, 3160, 547, 15079, 585, 5124, 476, 273, 11859, 3705, 1562, 543, 786, 581, 15079, 585, 454, 23911, 476, 274, 11859, 3705, 1562, 563, 5257, 8339, 8971, 263, 278, 2260, 276, 267, 1267, 11723, 2745, 3488, 5257, 454, 296, 3494, 602, 519, 1655, 1259, 547, 6023, 519, 30372, 17756, 602, 713, 3017, 1522, 2014, 568, 547, 2047, 11766, 454, 718, 519, 5124, 2707, 3009, 883, 513, 5124, 14044, 5113, 269, 8528, 1607, 1449, 786, 581, 9447, 607, 513, 1788, 538, 513, 5691, 1604, 543, 267, 547, 19334, 621, 267, 782, 602, 781, 2877, 568, 547, 2196, 538, 519, 3597, 17835, 540, 3097, 10472, 1788, 1384, 259, 2707, 1547, 1597, 341, 24800, 270, 716, 10675, 692, 4517, 519, 5691, 1604, 786, 581, 15181, 269, 901, 786, 20586, 519, 11056, 1604, 711, 1152, 547, 513, 1808, 5124, 4528, 3097, 8117, 849, 547, 2327, 1152, 519, 2877, 29444, 786, 581, 1031, 780, 2252, 596, 616, 1210, 8837, 630, 12061, 268, 7419, 21197, 1070, 596, 1522, 1616, 547, 1711, 513, 1007, 14044, 5113, 607, 789, 616, 711, 3444, 268, 5308, 15095, 780, 5257, 17210, 2745, 3488, 5257, 454, 21446, 8271, 267, 952, 5124, 476, 273, 11859, 568, 2877, 1317, 540, 9371, 2152, 267, 519, 1739, 1104, 786, 1450, 596, 547, 946, 6498, 607, 454, 527, 568, 3044, 593, 5124, 476, 274, 11859, 692, 5228, 6449, 325, 1956, 1029, 1104, 6498, 692, 5257, 17210, 19638, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 32046, 593, 570, 826, 9484, 476, 2420, 476, 1626, 281, 6812, 281, 3953, 476, 1708, 271, 692, 287, 10461, 281, 556, 4209, 454, 20701, 454, 3698, 3193, 32622, 6025, 1601, 2567, 3097, 825, 536, 284, 339, 1601, 454, 825, 535, 17342, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 316, 22322, 825, 585, 737, 538, 536, 281, 3097, 1038, 535, 25208, 268, 272, 316, 23785, 330, 454, 4449, 567, 1948, 3438, 919, 998, 8638, 1510, 519, 946, 540, 2039, 28329, 27030, 1038, 7531, 825, 2132, 3193, 6600, 9239, 604, 6449, 4067, 1029, 2525, 257, 1029, 10852, 1029, 9899, 3097, 825, 1820, 32384, 32622, 8443, 276, 267, 274, 267, 274, 267, 272, 267, 273, 28413, 825, 1820, 32384, 32622, 8443, 274, 267, 274, 267, 274, 267, 272, 267, 273, 316, 4297, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 32046, 593, 11205, 4239, 476, 2764, 476, 1626, 281, 4375, 281, 5881, 476, 1708, 271, 692, 287, 10461, 281, 556, 4209, 454, 20701, 3698, 1205, 16655, 3065, 8138, 3553, 263, 6919, 2567, 825, 454, 825, 536, 756, 573, 344, 17342, 316, 3097, 825, 13544, 334, 17342, 2639, 825, 4831, 284, 271, 454, 825, 585, 512, 538, 1913, 281, 22322, 1038, 536, 756, 573, 344, 266, 17342, 338, 9285, 6025, 13580, 3097, 825, 585, 27342, 573, 344, 538, 536, 756, 573, 344, 281, 3097, 1038, 952, 27342, 573, 344, 711, 538, 13544, 334, 281, 22322, 2018, 13544, 334, 266, 17342, 321, 984, 573, 344, 2639, 2018, 4831, 23785, 272, 3097, 825, 1820, 27203, 871, 334, 994, 825, 2132, 4831, 28329, 13872, 27030, 27030, 13872, 825, 1948, 1721, 737, 538, 2039, 12759, 263, 6919, 9984, 272, 2567, 22322, 1038, 1948, 604, 15044, 263, 6919, 25208, 8079, 256, 284, 338, 9285, 263, 6919, 26514, 2567, 3097, 17264, 1948, 321, 756, 573, 344, 266, 17342, 6919, 25208, 14963, 3097, 8931, 8931, 8931, 8931, 8931, 8931, 8931, 8931, 8931, 8931, 8931, 8931, 8931, 8931, 8931, 8931, 8931, 8931, 8931, 8931, 8931, 8931, 8931, 8931, 604, 6449, 4067, 1029, 2525, 2891, 1029, 10852, 1029, 257, 2567, 825, 454, 825, 1820, 263, 1326, 16655, 3065, 8138, 3553, 8443, 262, 342, 331, 337, 321, 3299, 1412, 332, 3299, 1412, 321, 327, 322, 3299, 1412, 541, 345, 3299, 1412, 342, 330, 3299, 1412, 344, 6062, 3299, 1412, 323, 336, 338, 3299, 1412, 11459, 337, 3299, 1412, 332, 578, 325, 337, 3299, 1412, 338, 329, 344, 321, 11172, 4917, 8931, 672, 0, 5228, 556, 1104, 2608, 5897, 2958, 815, 29289, 16868, 262, 22677, 26834, 269, 16732, 4700, 315, 272, 7565, 286, 284, 30818, 314, 271, 268, 280, 31765, 274, 348, 7565, 286, 284, 30818, 314, 288, 19053, 31765, 273, 16585, 314, 320, 22271, 288, 19053, 271, 268, 280, 31765, 1015, 4151, 20298, 1721, 1775, 538, 2039, 17301, 9272, 28829, 8029, 825, 5569, 815, 1412, 8339, 21860, 4433, 9285, 9272, 3890, 17903, 825, 513, 815, 3406, 263, 2958, 267, 5569, 3418, 825, 952, 513, 6769, 1038, 1820, 3488, 11749, 573, 20298, 825, 3116, 6769, 1038, 1820, 3488, 1103, 20777, 20298, 0, 5228, 476, 8918, 1104, 27252, 454, 333, 558, 3691, 815, 476, 278, 692, 258, 476, 272, 264, 5915, 6387, 20221, 561, 262, 583, 18442, 19812, 546, 262, 550, 17243, 796, 9930, 3691, 267, 21915, 844 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 568, 2693, 4929, 2484, 811, 2800, 982, 1434, 563, 9617, 607, 707, 1560, 814, 4170, 585, 8501, 267, 621, 849, 2115, 15459, 9600, 585, 1697, 1599, 269, 2290, 1259, 547, 1174, 713, 568, 547, 2015, 1018, 3536, 3425, 10057, 1282, 741, 4720, 269, 3509, 4966, 3494, 602, 2094, 519, 19232, 18070, 16527, 267, 649, 7960, 607, 25433, 3766, 520, 1877, 3464, 269, 19232, 18070, 6484, 2829, 602, 649, 723, 13881, 3662, 2472, 585, 1034, 540, 938, 6228, 593, 3047, 269, 1677, 2303, 602, 15459, 9600, 616, 10393, 5739, 547, 721, 2306, 1100, 2631, 267, 2523, 689, 606, 12105, 5133, 563, 2026, 5063, 607, 476, 1001, 271, 267, 519, 1699, 7840, 689, 519, 2475, 4972, 540, 11982, 630, 4785, 6395, 264, 1289, 585, 4227, 707, 15459, 3170, 6981, 547, 513, 6071, 476, 1015, 2600, 540, 707, 2698, 8477, 610, 1447, 269, 901, 568, 4230, 15929, 267, 543, 3833, 519, 6587, 540, 1018, 1034, 1004, 2154, 585, 6099, 1072, 256, 634, 5767, 2257, 5267, 2635, 9600, 630, 338, 18260, 543, 5667, 18260, 9600, 689, 2898, 1426, 267, 3662, 267, 543, 2030, 2959, 264, 1058, 17663, 9170, 689, 476, 2004, 547, 476, 5952, 2600, 540, 707, 2949, 1648, 6981, 269, 590, 18260, 9600, 1683, 513, 1297, 540, 1271, 1072, 2640, 267, 1519, 519, 1739, 912, 17809, 4575, 2679, 7161, 585, 1591, 17011, 267, 10399, 267, 543, 9449, 6438, 6878, 25115, 10338, 267, 971, 607, 7513, 2961, 13205, 585, 1271, 3170, 30320, 8324, 589, 267, 667, 267, 661, 267, 543, 918, 23586, 540, 25558, 2940, 883, 6171, 589, 29955, 547, 2539, 8501, 2157, 630, 25659, 2466, 545, 543, 588, 792, 545, 7408, 264, 20450, 607, 27179, 8665, 630, 5115, 23359, 3679, 264, 8838, 2711, 4492, 585, 707, 2634, 30216, 2893, 328, 1214, 3525, 12885, 4719, 7939, 543, 2337, 2061, 2860, 630, 8117, 344, 878, 3679, 994, 272, 269, 31613, 14121, 4973, 8501, 5223, 281, 31613, 6871, 568, 513, 1360, 1271, 2295, 2068, 1981, 3815, 269, 3807, 7941, 707, 31613, 1377, 676, 707, 2698, 8501, 269, 901, 6871, 1058, 23679, 581, 1657, 476, 2190, 2600, 269, 12989, 476, 1015, 2600, 267, 621, 781, 513, 1713, 13525, 540, 2295, 2068, 1981, 269, 476, 273, 269, 17832, 22318, 728, 270, 8461, 299, 12753, 281, 19147, 707, 27831, 728, 1297, 676, 707, 31613, 269, 901, 5223, 1058, 23679, 581, 2630, 476, 273, 269, 476, 274, 269, 715, 17307, 9067, 641, 549, 12803, 281, 25334, 4601, 519, 1034, 3532, 1449, 585, 10442, 2295, 2068, 1981, 267, 713, 1449, 11887, 707, 8167, 540, 4130, 267, 811, 14124, 25928, 5536, 269, 9540, 25928, 5536, 1205, 12758, 3362, 267, 2014, 811, 6553, 267, 543, 616, 13615, 547, 7378, 543, 682, 696, 514, 4187, 269, 901, 1449, 568, 711, 3335, 10288, 267, 865, 596, 1522, 991, 547, 7662, 621, 689, 707, 10629, 610, 1931, 621, 3054, 998, 513, 3791, 18407, 269, 630, 2690, 811, 1344, 593, 519, 715, 17307, 26100, 641, 549, 12803, 267, 5225, 4585, 1250, 5967, 609, 18281, 918, 816, 518, 267, 1657, 4700, 476, 275, 269, 674, 8463, 7378, 281, 589, 3339, 17509, 1973, 7378, 1377, 568, 2630, 476, 276, 267, 855, 23679, 267, 596, 3513, 1616, 621, 2630, 476, 274, 269, 1403, 707, 7378, 1377, 568, 2362, 982, 476, 276, 267, 519, 1034, 2500, 1259, 547, 11126, 621, 568, 547, 2569, 610, 9004, 782, 3029, 540, 8192, 4006, 267, 3226, 535, 28229, 267, 543, 9268, 9274, 269, 476, 276, 269, 674, 8463, 1973, 7280, 281, 5525, 723, 3254, 602, 1004, 609, 513, 17509, 1973, 7280, 540, 476, 1911, 268, 10219, 8406, 7933, 331, 1185, 5176, 1614, 2053, 519, 1981, 540, 18337, 16050, 2068, 540, 1004, 609, 513, 1973, 7280, 2630, 476, 8064, 8406, 7933, 331, 269, 476, 277, 269, 20613, 626, 3562, 268, 1222, 5223, 281, 6250, 30844, 3170, 267, 519, 1826, 540, 3170, 602, 25173, 1472, 707, 4835, 8219, 267, 568, 513, 1134, 29627, 1758, 1242, 1981, 3815, 585, 2295, 2068, 269, 634, 14724, 1259, 547, 6218, 707, 1981, 1934, 568, 676, 3274, 7893, 707, 22765, 3562, 268, 1222, 5223, 269, 630, 2690, 2417, 5528, 267, 5225, 1294, 519, 3095, 547, 1250, 3105, 2376, 4700, 476, 278, 269, 11635, 1377, 281, 21418, 4401, 666, 11851, 1360, 14984, 19842, 2566, 267, 865, 952, 596, 723, 4430, 4401, 538, 707, 1973, 267, 596, 666, 3441, 707, 1973, 8043, 543, 2333, 707, 1981, 540, 2295, 2068, 269, 27814, 267, 596, 1058, 6895, 707, 16796, 7542, 761, 514, 1377, 543, 1118, 2386, 621, 568, 2630, 476, 3199, 23356, 270, 6447, 269, 634, 14724, 2081, 547, 9004, 4430, 4401, 616, 1973, 21856, 543, 9354, 943, 548, 15318, 3912, 563, 763, 1739, 3349, 14592, 1250, 4528, 540, 513, 834, 24711, 268, 11794, 2732, 2437, 799, 24024, 6553, 267, 6971, 7378, 4187, 267, 543, 2337, 596, 2569, 707, 1981, 585, 9025, 2068, 269, 1403, 596, 1616, 2417, 3877, 267, 594, 2303, 17265, 1250, 19630, 1242, 12594, 4643, 267, 799, 786, 3391, 596, 998, 8192, 2242, 538, 513, 1900, 8386, 9912, 6752, 267, 3001, 689, 19444, 547, 13591, 547, 4359, 563, 272, 269, 23423, 610, 9004, 782, 9268, 3536, 476, 273, 269, 26332, 3729, 782, 15347, 543, 3810, 6784, 21329, 3536, 689, 707, 2732, 476, 274, 269, 16202, 5214, 3536, 8164, 2009, 547, 2057, 4598, 547, 5739, 6694, 6464, 267, 971, 607, 9848, 874, 657, 622, 476, 275, 269, 3680, 16220, 9168, 5820, 630, 14875, 302, 1070, 799, 20739, 752, 6211, 14784, 593, 513, 10408, 1377, 543, 616, 5532, 547, 10731, 1072, 2042, 267, 1519, 5312, 6553, 543, 2295, 2068, 476, 276, 269, 16202, 693, 2547, 835, 21017, 540, 707, 1426, 4608, 10541, 630, 3863, 1070, 610, 607, 1454, 607, 596, 666, 4383, 282, 2057, 5986, 3536, 693, 1164, 5210, 476, 277, 269, 21561, 519, 2179, 540, 4195, 5388, 538, 707, 2732, 267, 12725, 6738, 543, 5214, 952, 2009, 476, 278, 269, 16202, 6923, 25496, 3536, 267, 799, 948, 11126, 707, 8937, 4551, 543, 2061, 6553, 27351, 6748, 2706, 656, 580, 839, 689, 23633, 4551, 267, 607, 1134, 607, 3246, 3407, 6171, 918, 273, 267, 645, 8324, 267, 543, 824, 5567, 476, 279, 269, 3680, 782, 5841, 6653, 22211, 269, 476, 280, 269, 23423, 535, 28229, 547, 1447, 982, 476, 1839, 10101, 829, 1554, 689, 782, 2959, 267, 1519, 2898, 5613, 269, 1403, 596, 723, 7378, 4187, 267, 3987, 267, 13119, 267, 610, 2295, 2068, 267, 596, 9364, 581, 1134, 15695, 547, 1832, 707, 535, 28229, 4616, 2630, 476, 1428, 10101, 829, 1554, 2394, 707, 7378, 4187, 814, 28348, 476, 1015, 269, 4210, 777, 782, 1098, 9600, 630, 557, 1326, 762, 11041, 267, 5768, 25978, 3092, 4700, 585, 2635, 9600, 899, 25636, 267, 6151, 7423, 267, 10381, 267, 543, 17310, 3282, 282, 2057, 10438, 12444, 1242, 8501, 630, 3273, 6856, 565, 602, 814, 8854, 678, 4545, 573, 267, 971, 607, 602, 689, 22848, 10541, 26545, 16940, 5798, 264, 476, 1556, 269, 1677, 556, 25270, 707, 15060, 268, 274, 547, 15060, 268, 277, 5223, 267, 1491, 513, 1164, 7779, 3662, 2861, 15060, 268, 274, 7110, 267, 971, 607, 737, 18115, 3282, 267, 543, 2569, 707, 4616, 540, 9268, 15060, 268, 277, 9600, 689, 10448, 11041, 476, 1321, 269, 27276, 7899, 540, 6986, 1216, 1169, 1554, 454, 1103, 1840, 547, 1739, 519, 2295, 268, 11794, 1544, 5941, 1657, 267, 972, 616, 1896, 811, 2994, 602, 666, 581, 25340, 5363, 538, 4227, 5312, 6553, 543, 7551, 16715, 707, 9025, 1981, 912, 268, 11644, 5781, 269, 2290, 540, 519, 3119, 2640, 540, 3635, 568, 602, 621, 2337, 3339, 1125, 543, 2226, 2635, 7378, 543, 682, 696, 514, 2157, 269, 11644, 849, 25242, 31613, 267, 4679, 707, 2208, 9449, 2504, 267, 2337, 26193, 707, 14031, 267, 543, 10607, 707, 7099, 543, 3207, 563, 268, 3955, 18283, 550, 17509, 269, 674, 8463, 568, 606, 5140, 1259, 547, 834, 516, 321, 2393, 257, 707, 10307, 865, 602, 707, 1560, 666, 2124, 7568, 875, 547, 6633, 3170, 607, 922, 3119, 4492, 267, 799, 2337, 596, 8774, 1346, 4430, 3170, 8637, 269, 3955, 18283, 550, 17509, 814, 513, 2484, 3152, 12802, 543, 10220, 2557, 3379, 547, 6671, 782, 6377, 17509, 1036, 6036, 269, 6271, 4528, 568, 14595, 6377, 17509, 563, 268, 16140, 532, 3054, 547, 519, 3618, 269, 1879, 596, 3802, 11953, 20584, 267, 1863, 9211, 616, 11843, 689, 519, 3618, 883, 707, 1560, 267, 543, 9211, 616, 930, 540, 519, 1034, 14984, 14434, 1634, 269, 16140, 532, 630, 10193, 1572, 2423, 2251, 264, 2337, 13468, 6553, 267, 607, 1134, 607, 30034, 707, 1973, 543, 4929, 707, 2699, 1973, 2281, 547, 1065, 601, 1142, 824, 267, 1818, 873, 1447, 2693, 547, 8052, 563, 268, 20724, 302, 2839, 2493, 514, 5061, 269, 6465, 514, 5061, 666, 2569, 707, 8501, 547, 5906, 569, 1970, 2157, 267, 1247, 3257, 4986, 547, 7116, 3634, 25928, 9325, 2450, 269, 6465, 514, 5061, 949, 1256, 17108, 2295, 2068, 269, 589, 476, 1001, 273, 1353, 4951, 602, 2493, 514, 946, 568, 2404, 609, 513, 476, 7367, 2600, 2362, 9860, 540, 18287, 1881, 18337, 15799, 3379, 547, 1346, 711, 2921, 873, 269, 278, 1656, 18337, 16050, 18287, 2305, 568, 519, 10689, 5658, 540, 5732, 24037, 2295, 2068, 269, 4165, 21699, 1218, 723, 849, 1044, 2404, 609, 2295, 2068, 563, 268, 20724, 302, 2839, 6464, 8164, 2009, 269, 645, 5183, 267, 585, 1383, 267, 814, 1044, 5532, 547, 2295, 2068, 281, 4079, 609, 519, 5207, 2157, 540, 645, 5183, 538, 741, 10729, 616, 811, 982, 7466, 607, 2693, 547, 1020, 18337, 16050, 2068, 607, 1346, 609, 519, 9803, 2157, 563, 3528, 3220, 269, 30330, 7637, 454, 307, 6506, 666, 3262, 513, 1297, 540, 3676, 267, 1519, 1480, 3777, 525, 22719, 267, 27743, 13738, 19481, 8611, 267, 543, 25425, 2068, 267, 799, 814, 1831, 835, 540, 519, 1034, 3978, 543, 11786, 8623, 12515, 540, 938, 942, 563, 6097, 547, 16861, 7194, 272, 5950, 676, 519, 15544, 585, 8376, 6513, 543, 10644, 630, 24922, 264, 2063, 1032, 267, 5111, 476, 4968, 267, 1822, 1007, 2665, 540, 25425, 2068, 616, 8995, 538, 519, 2475, 1142, 1032, 563, 1607, 568, 827, 476, 1015, 2053, 2362, 982, 519, 13166, 4080, 1297, 540, 2665, 267, 10834, 602, 519, 2068, 568, 1373, 27723, 896, 516, 19959, 269, 4595, 3084, 13178, 3459, 538, 476, 2735, 273, 267, 519, 1297, 540, 25425, 2665, 4080, 12422, 814, 2799, 5176, 476, 1839, 24670, 269, 273, 454, 763, 30546, 2110, 4289, 539, 17245, 7201, 3776, 16164, 267, 274, 27875, 513, 6456, 1650, 540, 968, 4364, 673, 543, 3621, 23659, 29342, 766, 543, 10714, 2223, 607, 5215, 540, 1004, 609, 25425, 2068, 979, 3768, 328, 30938, 267, 610, 1205, 3765, 10972, 30938, 1142, 1032, 269, 3509, 945, 7985, 519, 5538, 17331, 2360, 540, 25425, 2068, 616, 3274, 5143, 602, 741, 2589, 616, 968, 718, 538, 741, 2212, 3034, 2026, 519, 4670, 5205, 2550, 8165, 585, 741, 2729, 543, 24454, 267, 621, 6770, 883, 1445, 513, 20807, 532, 4605, 540, 513, 1072, 1416, 1062, 602, 568, 782, 1932, 8348, 547, 2322, 12434, 6619, 540, 2550, 269, 634, 12286, 4528, 568, 519, 9241, 5950, 10615, 779, 12338, 267, 799, 2882, 476, 1428, 3764, 540, 17468, 22089, 267, 556, 24737, 1243, 10207, 267, 543, 1915, 10311, 563, 299, 344, 1889, 2068, 4016, 547, 10108, 11843, 676, 7786, 269, 4014, 1082, 1869, 14487, 6771, 14311, 547, 24217, 267, 2687, 547, 3220, 269, 1546, 527, 5341, 918, 1782, 14551, 339, 267, 835, 540, 519, 3056, 8128, 593, 25425, 2068, 267, 519, 4551, 666, 849, 581, 3262, 676, 824, 7786, 267, 1519, 19498, 267, 20151, 267, 7904, 553, 267, 543, 21746, 563, 307, 6506, 616, 1973, 29186, 619, 267, 543, 4782, 4158, 267, 1212, 341, 1182, 971, 607, 707, 818, 5404, 527, 610, 3297, 707, 1274, 267, 610, 707, 21435, 269, 4495, 621, 1140, 2851, 3294, 543, 6238, 8023, 593, 707, 1973, 267, 621, 786, 693, 930, 1448, 968, 4944, 527, 892, 922, 9190, 4452, 883, 707, 1973, 6908, 269, 1403, 621, 11438, 606, 11763, 11248, 267, 519, 3968, 786, 3262, 547, 596, 3842, 713, 2892, 643, 776, 12998, 563, 13349, 2427, 2360, 540, 8743, 17486, 1331, 606, 28349, 968, 321, 1638, 779, 3750, 892, 16420, 267, 1928, 267, 8611, 267, 543, 6553, 269, 12580, 540, 25425, 2068, 3335, 1376, 856, 609, 796, 7758, 550, 532, 9854, 267, 18596, 8611, 267, 14331, 267, 543, 513, 16408, 6091, 610, 10549, 563, 763, 2068, 949, 3356, 547, 4887, 838, 553, 916, 267, 2530, 540, 5179, 11558, 267, 543, 1256, 26740, 26900, 267, 23971, 4345, 267, 610, 2295, 2042, 269, 1280, 513, 811 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 807, 340, 6403, 267, 16114, 573, 1470, 28828, 4275, 1107, 5159, 945, 695, 28984, 543, 1118, 713, 7121, 1454, 811, 1950, 269, 769, 1249, 267, 891, 543, 824, 24299, 4161, 519, 27524, 582, 558, 625, 602, 4334, 519, 2144, 644, 924, 609, 519, 2442, 267, 519, 4099, 609, 519, 13020, 344, 543, 267, 538, 930, 2665, 267, 1256, 8093, 1242, 18765, 540, 9135, 563, 7437, 1200, 3527, 543, 3232, 12738, 267, 519, 590, 14244, 6754, 334, 18048, 4477, 12251, 320, 670, 926, 611, 928, 4667, 547, 20053, 547, 9156, 519, 3312, 3096, 543, 10096, 540, 1426, 543, 922, 4616, 269, 634, 5388, 602, 519, 7376, 27499, 616, 519, 3844, 1641, 540, 1200, 3527, 543, 1200, 10868, 7206, 269, 8187, 13906, 267, 1945, 4223, 1170, 1014, 543, 3979, 269, 769, 519, 1463, 15885, 609, 513, 1402, 20020, 267, 3109, 4703, 5249, 609, 5862, 13594, 13939, 689, 3282, 16853, 616, 4334, 539, 609, 713, 18912, 6438, 7762, 1415, 602, 1352, 5252, 919, 267, 3091, 538, 9161, 543, 27499, 563, 1103, 519, 2013, 540, 3043, 3885, 267, 1148, 5444, 11530, 625, 543, 741, 7499, 3885, 616, 3964, 811, 610, 1447, 25678, 282, 4563, 7499, 3885, 267, 593, 519, 824, 1688, 267, 6336, 741, 5638, 267, 616, 15286, 689, 20808, 873, 543, 616, 2040, 3000, 539, 593, 15773, 540, 519, 3003, 2146, 547, 6427, 741, 2984, 609, 1142, 960, 543, 14266, 4371, 269, 15584, 4793, 878, 1470, 19071, 1242, 607, 7731, 17581, 519, 3126, 540, 23609, 1500, 538, 519, 1647, 540, 519, 6855, 602, 6799, 519, 2818, 540, 1010, 5289, 1920, 267, 602, 568, 267, 519, 2818, 540, 519, 15443, 558, 4565, 2946, 2777, 2505, 5034, 676, 519, 7376, 269, 1703, 568, 606, 9029, 267, 538, 1249, 267, 16048, 267, 799, 8711, 3344, 540, 519, 2538, 6685, 540, 922, 4589, 538, 519, 11407, 593, 25812, 5174, 571, 7588, 1014, 1148, 267, 2094, 713, 2538, 6685, 568, 513, 7928, 543, 538, 1082, 2665, 3844, 6249, 540, 741, 22808, 269, 6423, 519, 15840, 2103, 7665, 574, 559, 10730, 13121, 16114, 657, 1546, 8113, 648, 1091, 630, 4489, 278, 268, 1001, 274, 1070, 4487, 9894, 328, 267, 25761, 9380, 528, 267, 5856, 543, 17308, 543, 849, 9380, 528, 267, 18048, 267, 23678, 591, 267, 7548, 11676, 655, 4406, 550, 574, 630, 4572, 273, 268, 1960, 272, 264, 1107, 543, 519, 7415, 15840, 1014, 7376, 543, 7548, 689, 5839, 320, 14243, 21353, 267, 15718, 3464, 517, 4173, 659, 331, 7978, 269, 1717, 267, 621, 1590, 581, 15861, 602, 519, 4473, 540, 891, 543, 824, 5159, 729, 3710, 538, 519, 2361, 540, 1148, 543, 998, 519, 1702, 9715, 676, 873, 538, 519, 3635, 540, 713, 4739, 269, 1548, 568, 17271, 547, 1148, 1590, 581, 607, 4277, 607, 1018, 568, 5007, 547, 621, 563, 1607, 24088, 540, 2823, 571, 8132, 568, 8763, 538, 4793, 337, 6403, 857, 334, 781, 3126, 543, 865, 11495, 538, 519, 1568, 540, 5159, 971, 607, 28788, 2284, 2549, 541, 531, 630, 3192, 271, 268, 1001, 278, 1070, 519, 1685, 894, 543, 3679, 569, 4401, 545, 8834, 632, 2826, 334, 267, 519, 18048, 693, 6742, 1231, 267, 782, 689, 590, 14244, 6754, 334, 267, 543, 519, 524, 926, 10087, 1488, 13568, 6742, 1231, 267, 7119, 538, 519, 4070, 540, 9163, 602, 2769, 741, 1367, 885, 267, 855, 849, 3565, 547, 519, 4070, 540, 7104, 1582, 12635, 267, 607, 789, 1201, 1393, 519, 2856, 540, 1843, 2305, 540, 519, 3109, 1560, 543, 10891, 741, 8823, 269, 5015, 267, 891, 23609, 11574, 513, 17211, 538, 519, 26847, 11603, 585, 519, 14266, 540, 713, 9135, 540, 10367, 269, 898, 949, 581, 602, 972, 568, 930, 2856, 602, 5267, 519, 9000, 540, 3109, 19384, 7499, 5389, 267, 799, 568, 676, 1100, 1797, 3020, 267, 543, 713, 1131, 2491, 519, 3668, 540, 6284, 540, 519, 4589, 602, 896, 12340, 519, 4070, 540, 606, 1148, 1686, 543, 1131, 17854, 519, 22035, 7321, 540, 930, 538, 519, 3068, 540, 1018, 789, 1289, 968, 325, 5831, 5608, 968, 341, 4084, 892, 610, 968, 24859, 892, 540, 25812, 5174, 571, 7588, 1014, 1148, 269, 898, 568, 585, 1100, 824, 2601, 602, 25812, 5174, 571, 7588, 1014, 5159, 971, 607, 1325, 710, 631, 27198, 267, 4173, 5451, 743, 17010, 267, 3967, 664, 320, 4446, 4592, 267, 7325, 10005, 13121, 16114, 657, 267, 14472, 3570, 6754, 3626, 267, 3057, 4897, 334, 667, 21485, 21946, 23176, 543, 25538, 1676, 966, 10005, 616, 849, 7184, 8149, 547, 1382, 538, 519, 4610, 540, 1686, 543, 19795, 563, 3383, 267, 1018, 798, 649, 2911, 827, 950, 649, 2911, 827, 25812, 5174, 571, 7588, 1014, 1148, 286, 1284, 2911, 827, 2621, 602, 616, 2630, 543, 3564, 519, 1568, 602, 519, 5159, 1685, 543, 602, 267, 2705, 267, 616, 8659, 538, 873, 269, 1284, 1865, 1018, 568, 4835, 547, 519, 1568, 543, 1018, 568, 5007, 547, 873, 267, 1018, 568, 17271, 543, 1018, 568, 16312, 13917, 538, 606, 1935, 4171, 8100, 786, 849, 7654, 581, 25139, 676, 15257, 269, 1452, 8100, 616, 1373, 5294, 4624, 543, 6394, 1369, 519, 3537, 12562, 543, 3544, 873, 267, 676, 6101, 543, 1875, 27322, 531, 5238, 540, 2528, 267, 998, 519, 16075, 540, 610, 1275, 543, 519, 1702, 3710, 538, 519, 1034, 9867, 1514, 3906, 269, 1358, 616, 2556, 585, 721, 547, 1935, 811, 5265, 24299, 602, 4161, 721, 547, 9101, 606, 25356, 17374, 563, 763, 18048, 267, 1951, 7676, 1206, 2006, 267, 9380, 528, 543, 1685, 518, 13198, 714, 476, 10695, 267, 945, 729, 4535, 543, 2729, 538, 519, 3854, 540, 519, 3557, 540, 590, 14244, 6754, 334, 267, 1185, 267, 899, 1896, 3109, 5159, 267, 971, 607, 3143, 6742, 1231, 267, 1010, 8129, 538, 519, 10754, 267, 8026, 1178, 29201, 543, 1178, 29201, 269, 898, 4667, 602, 713, 568, 1141, 1312, 519, 18048, 543, 519, 9380, 528, 17589, 519, 10206, 540, 2230, 602, 10274, 741, 1079, 268, 610, 1614, 8820, 15885, 540, 606, 7493, 543, 6405, 1915, 269, 1403, 13198, 714, 476, 10695, 781, 6101, 3435, 3277, 547, 598, 4038, 1143, 267, 713, 7681, 1590, 581, 25358, 676, 519, 2856, 602, 972, 568, 811, 982, 835, 6405, 5119, 547, 581, 13394, 3603, 267, 538, 1840, 547, 519, 835, 602, 568, 2356, 5018, 269, 1656, 713, 2856, 12134, 721, 585, 513, 12761, 602, 519, 28160, 1436, 540, 519, 22401, 3340, 1107, 621, 1131, 581, 2009, 547, 2446, 8100, 547, 713, 598, 4038, 1143, 538, 519, 1568, 540, 31471, 663, 8565, 267, 1325, 18029, 631, 822, 793, 1512, 630, 4572, 276, 268, 1001, 279, 1070, 556, 889, 523, 1130, 20634, 543, 661, 2006, 334, 601, 19966, 340, 14765, 269, 1358, 616, 1114, 14290, 689, 1346, 5294, 4624, 538, 602, 8513, 602, 649, 6785, 607, 519, 968, 22487, 5608, 855, 1256, 789, 1131, 711, 2491, 519, 1788, 2919, 676, 5159, 609, 13198, 714, 476, 10695, 267, 2094, 267, 538, 741, 22808, 267, 519, 3346, 609, 1433, 543, 4081, 1702, 267, 711, 1373, 30050, 267, 568, 540, 14758, 2956, 269, 26055, 563, 763, 1914, 6048, 543, 19784, 1849, 990, 529, 631, 2227, 630, 4572, 276, 268, 1220, 274, 264, 538, 1010, 7354, 345, 8403, 15141, 687, 281, 31910, 4861, 657, 267, 31837, 516, 2388, 543, 1368, 518, 18115, 553, 267, 689, 476, 4198, 280, 267, 18327, 602, 519, 6560, 585, 519, 31414, 540, 519, 20665, 1185, 3109, 2021, 543, 2367, 607, 922, 23233, 543, 713, 6560, 2392, 919, 519, 4521, 602, 267, 1851, 721, 267, 27618, 8474, 269, 4340, 547, 631, 2227, 267, 972, 941, 1082, 2994, 6964, 676, 3109, 2367, 543, 2021, 945, 1185, 2141, 1044, 27025, 30829, 609, 741, 17760, 29713, 267, 799, 267, 693, 519, 3970, 267, 4300, 4705, 547, 11980, 267, 547, 519, 954, 8306, 540, 741, 1378, 2729, 998, 1582, 268, 9404, 15684, 602, 2322, 606, 1439, 547, 25711, 282, 898, 568, 3656, 543, 4023, 547, 4952, 602, 824, 2994, 267, 1519, 519, 27069, 5428, 267, 22466, 519, 5826, 540, 1641, 8481, 676, 17923, 519, 1379, 540, 661, 4592, 267, 610, 540, 661, 3333, 340, 267, 1045, 12097, 547, 8764, 622, 4948, 1272, 609, 519, 2144, 5328, 1143, 602, 2488, 1272, 1996, 519, 2669, 26756, 32427, 730, 676, 20537, 520, 657, 267, 519, 5259, 5601, 540, 2669, 945, 6067, 1115, 543, 10274, 519, 27394, 1886, 29176, 540, 19108, 543, 2221, 269, 0, 15933, 20562, 1845, 1404, 513, 4105, 1909, 538, 5466, 1426, 22584, 676, 3246, 513, 3076, 5202, 585, 2043, 543, 3885, 6849, 2804, 2591, 269, 1452, 2146, 2861, 3906, 4196, 607, 3892, 32387, 585, 24603, 1426, 3688, 267, 5356, 513, 3309, 2039, 540, 1898, 14770, 625, 547, 1346, 538, 991, 269, 15380, 13234, 676, 18758, 3906, 267, 3909, 5238, 267, 610, 2146, 2516, 267, 1426, 20562, 1845, 2832, 547, 8115, 519, 7934, 1063, 21045, 1426, 2200, 543, 2043, 7680, 14000, 269, 634, 10319, 2470, 540, 1426, 20562, 1845, 3322, 12352, 609, 2199, 4213, 267, 11396, 267, 543, 2043, 945, 3565, 547, 741, 11891, 267, 5807, 513, 2631, 540, 18497, 1489, 563, 763, 5106, 540, 513, 1426, 20562, 787, 3322, 513, 7029, 547, 15683, 543, 2463, 585, 1346, 5275, 6351, 269, 3509, 1426, 20562, 1845, 9772, 513, 7817, 31547, 2203, 267, 3850, 2043, 547, 2824, 741, 9053, 1426, 3688, 267, 5009, 513, 2631, 540, 13190, 543, 4227, 1426, 3653, 269, 3958, 267, 930, 1426, 20562, 1845, 8831, 741, 2533, 3564, 519, 3892, 540, 14770, 625, 676, 5356, 3872, 3292, 593, 6484, 267, 22343, 267, 543, 5986, 1983, 269, 1452, 7341, 711, 1152, 2232, 7525, 1426, 2115, 855, 849, 3565, 547, 519, 1279, 3856, 1134, 5630, 543, 1582, 25252, 11797, 540, 2043, 543, 3885, 563, 4407, 1426, 20562, 1845, 1404, 513, 2629, 1909, 538, 7525, 14000, 8323, 267, 789, 849, 4196, 607, 513, 3046, 10309, 585, 519, 6626, 2152, 540, 6710, 543, 8635, 269, 634, 3747, 585, 741, 2533, 19156, 519, 11528, 2591, 5185, 676, 1082, 2950, 269, 1306, 15156, 585, 1514, 1689, 267, 1426, 20562, 1845, 1419, 12840, 609, 14519, 543, 824, 2146, 3906, 547, 2232, 519, 3597, 3123, 540, 1426, 22584, 543, 960, 2509, 4264, 3435, 269, 769, 9759, 267, 1426, 20562, 1845, 18220, 519, 17519, 3210, 540, 2950, 547, 519, 3838, 5539, 540, 4180, 602, 1100, 835, 4422, 17237, 563, 2414, 917, 811, 827, 1426, 20562, 1845, 267, 1577, 779, 1491, 513, 1413, 693, 891, 476, 1015, 1187, 5013, 827, 1426, 20562, 1845, 563, 268, 24306, 538, 9147, 31511, 281, 634, 1523, 540, 18497, 1426, 3892, 814, 3504, 5072, 269, 769, 3504, 10255, 267, 972, 941, 1857, 4859, 543, 3892, 1949, 585, 9274, 267, 4180, 602, 4961, 1185, 1569, 547, 1898, 1426, 3688, 563, 268, 7073, 9622, 10885, 281, 634, 2413, 1426, 20562, 787, 2203, 3459, 547, 1491, 3337, 538, 519, 476, 3422, 271, 338, 538, 519, 2136, 2276, 269, 634, 1101, 1426, 4871, 267, 853, 269, 6307, 779, 5253, 7813, 19137, 267, 729, 3964, 538, 27925, 267, 14151, 267, 538, 476, 3422, 278, 563, 268, 5080, 19828, 5213, 725, 281, 5253, 20562, 1845, 1419, 4309, 23349, 23190, 269, 2755, 1875, 12656, 27720, 3688, 899, 27574, 5370, 616, 1455, 267, 930, 20562, 1845, 849, 4309, 4195, 3132, 267, 10683, 267, 543, 1256, 20614, 3688, 267, 4946, 3099, 547, 519, 2139, 1426, 563, 268, 7991, 29972, 22627, 281, 2368, 1426, 20562, 1845, 1921, 609, 2199, 2146, 10651, 547, 1683, 4195, 267, 12725, 6738, 3132, 547, 1346, 538, 991, 269, 901, 711, 1152, 7028, 6484, 855, 849, 11942, 2146, 6278, 563, 268, 16353, 5253, 23202, 1845, 593, 5453, 1564, 281, 1677, 3914, 9207, 5703, 2127, 610, 2950, 609, 3908, 6283, 267, 930, 1426, 20562, 1845, 7500, 5985, 4559, 269, 1452, 6472, 3142, 14770, 625, 2047, 547, 16973, 267, 1818, 1426, 1569, 811, 10375, 563, 268, 667, 793, 640, 538, 14893, 281, 3509, 2413, 1426, 20562, 1845, 723, 7550, 513, 7817, 31547, 2203, 267, 3850, 2043, 547, 2824, 741, 9053, 1426, 3688, 269, 901, 1935, 8992, 15683, 543, 6971, 1426, 3653, 676, 4180, 602, 23700, 4309, 3688, 789, 786, 946, 563, 268, 21816, 17621, 5937, 337, 1508, 281, 5253, 20562, 1845, 8185, 7048, 593, 13538, 585, 741, 1554, 3562, 6377, 4238, 269, 3245, 18570, 543, 6006, 532, 21684, 547, 21528, 7218, 267, 13538, 1404, 513, 2629, 1909, 538, 519, 4398, 543, 1967, 540, 891, 3906, 563, 268, 15332, 5253, 281, 26859, 15789, 281, 2368, 1426, 20562, 1845, 979, 3564, 3246, 14770, 625, 269, 1358, 2709, 3606, 1489, 2533, 971, 607, 2816, 13307, 6351, 267, 1072, 32182, 267, 543, 3872, 3292, 547, 2232, 519, 6626, 2591, 5185, 676, 741, 7218, 563, 268, 17073, 15863 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 707, 1267, 568, 607, 1739, 281, 476, 10436, 269, 279, 4846, 815, 476, 5002, 269, 9834, 7273, 780, 2791, 917, 476, 10436, 269, 279, 4846, 568, 875, 1082, 7273, 267, 865, 723, 513, 1413, 875, 1082, 4846, 476, 10436, 269, 279, 7273, 281, 476, 10436, 269, 279, 11013, 815, 476, 271, 269, 28526, 30020, 4391, 13532, 780, 8170, 1576, 267, 713, 942, 596, 949, 849, 5180, 1055, 519, 1267, 269, 2991, 24263, 1055, 707, 6364, 568, 4010, 281, 476, 10436, 269, 279, 18470, 815, 476, 271, 269, 3393, 4846, 338, 780, 2171, 849, 1616, 547, 1397, 596, 476, 10436, 269, 279, 4846, 547, 875, 1082, 6550, 543, 476, 10436, 269, 279, 11013, 875, 1082, 4846, 2164, 538, 12125, 269, 2913, 779, 1294, 1384, 2171, 616, 2469, 547, 1376, 609, 513, 5750, 585, 875, 1454, 568, 476, 10436, 269, 279, 4846, 3160, 547, 11013, 780, 10436, 269, 279, 18741, 9999, 547, 623, 2432, 7503, 3349, 692, 298, 559, 9999, 630, 11899, 264, 623, 2432, 630, 331, 321, 264, 623, 2432, 630, 331, 2125, 264, 630, 1037, 539, 1055, 547, 1079, 8918, 4025, 994, 10436, 269, 279, 476, 4489, 269, 3607, 272, 25838, 275, 1626, 476, 5002, 269, 31634, 454, 3086, 1413, 693, 513, 3349, 585, 875, 1082, 13532, 476, 10436, 269, 279, 6550, 780, 303, 2432, 18741, 9999, 18741, 9999, 630, 1037, 539, 1055, 547, 1079, 8918, 4025, 454, 10436, 269, 279, 476, 271, 269, 28526, 30020, 4391, 476, 271, 269, 3393, 692, 3086, 596, 917, 875, 1082, 476, 10436, 269, 279, 4846, 547, 7273, 543, 875, 1082, 13532, 476, 10436, 269, 279, 11013, 267, 865, 649, 666, 1847, 593, 547, 519, 476, 10436, 269, 279, 4846, 547, 7273, 4542, 780, 10436, 269, 279, 4846, 547, 6550, 692, 2414, 6460, 476, 10436, 269, 279, 4846, 547, 721, 7273, 513, 4542, 568, 2877, 269, 1284, 616, 2469, 547, 1397, 596, 513, 4542, 538, 1079, 1114, 8747, 269, 2913, 779, 1376, 609, 519, 1101, 835, 1384, 10831, 540, 13532, 2608, 476, 273, 269, 14225, 25118, 7830, 815, 519, 476, 4489, 269, 3607, 272, 25838, 275, 1626, 1267, 538, 6550, 692, 763, 1101, 4542, 786, 2285, 596, 519, 1034, 3169, 6364, 269, 6884, 1256, 519, 10545, 3017, 666, 581, 9645, 269, 1924, 952, 596, 1616, 547, 1205, 606, 3169, 6364, 910, 713, 4528, 540, 513, 4542, 786, 581, 519, 1655, 585, 596, 270, 641, 5406, 547, 917, 875, 1082, 6550, 616, 6697, 547, 476, 10436, 269, 279, 11304, 780, 3383, 1577, 779, 1847, 593, 547, 519, 13272, 337, 4528, 540, 513, 4542, 267, 799, 849, 6087, 9273, 547, 917, 875, 1454, 476, 10436, 269, 279, 11304, 538, 6550, 780, 763, 1776, 4528, 540, 513, 4542, 568, 1524, 2630, 267, 723, 513, 1413, 1384, 10831, 540, 13532, 2608, 476, 273, 269, 273, 815, 519, 6364, 538, 6550, 692, 2026, 596, 1294, 267, 713, 4528, 568, 12863, 269, 898, 1223, 581, 1732, 4781, 952, 596, 991, 547, 1118, 513, 7503, 540, 476, 10436, 269, 279, 11304, 547, 6550, 538, 3728, 1259, 267, 585, 1383, 267, 1282, 10918, 269, 1411, 1152, 991, 547, 3314, 602, 3803, 6364, 786, 581, 711, 865, 4977, 780, 3086, 649, 616, 2469, 547, 1397, 596, 891, 1079, 12596, 538, 2259, 269, 1809, 1354, 649, 786, 1118, 513, 7503, 540, 476, 10436, 269, 279, 4846, 547, 7273, 649, 616, 2469, 547, 1397, 596, 1776, 1259, 547, 917, 476, 10436, 269, 279, 4846, 547, 875, 1082, 7273, 1510, 1022, 4674, 780, 10436, 269, 279, 4846, 547, 7273, 20303, 692, 2304, 4443, 1259, 547, 1451, 1018, 568, 476, 10436, 269, 279, 11304, 3160, 547, 538, 6550, 568, 547, 946, 476, 10436, 269, 279, 4846, 7273, 9498, 269, 1548, 568, 513, 4846, 547, 18470, 20303, 2496, 3519, 591, 614, 568, 606, 3498, 269, 18185, 568, 1759, 593, 1101, 4528, 540, 513, 4542, 799, 649, 4951, 596, 538, 519, 3105, 851, 540, 713, 2376, 269, 8729, 547, 476, 10436, 269, 279, 4846, 11013, 9498, 596, 666, 4674, 1652, 6460, 476, 10436, 269, 279, 4846, 547, 7273, 269, 3807, 4283, 2179, 540, 13532, 799, 596, 991, 547, 5173, 543, 4945, 2048, 935, 3200, 685, 7735, 269, 634, 1267, 786, 581, 3254, 538, 513, 2034, 780, 3383, 1577, 779, 2119, 547, 5173, 476, 10436, 269, 279, 4846, 883, 7273, 1210, 476, 10436, 269, 279, 4846, 5288, 11013, 9498, 269, 1284, 9411, 476, 10436, 269, 279, 607, 606, 2179, 540, 13532, 269, 898, 568, 519, 1267, 281, 476, 10436, 269, 279, 11304, 815, 476, 4489, 269, 3607, 272, 25838, 275, 1626, 6550, 780, 2026, 596, 666, 1294, 267, 713, 476, 10436, 269, 279, 4846, 5288, 7273, 9498, 568, 865, 3274, 547, 946, 780, 3086, 1577, 779, 1847, 593, 547, 938, 8783, 1888, 910, 875, 547, 6460, 476, 10436, 269, 279, 13532, 547, 6550, 593, 707, 1378, 780, 10436, 269, 279, 4846, 547, 7273, 7503, 692, 2171, 786, 1376, 476, 10436, 269, 279, 11304, 11224, 547, 875, 1082, 6550, 7503, 609, 519, 1101, 4528, 540, 513, 4542, 547, 1205, 519, 1034, 4977, 6364, 269, 589, 2656, 12576, 540, 513, 4542, 1384, 8649, 870, 540, 13532, 2608, 476, 273, 269, 14225, 25118, 7830, 815, 476, 4489, 269, 3607, 272, 25838, 275, 1626, 519, 1267, 538, 6550, 692, 3383, 1018, 723, 596, 798, 547, 1451, 875, 1082, 6550, 3160, 547, 476, 10436, 269, 279, 11304, 286, 3807, 9062, 2179, 540, 13532, 267, 713, 942, 476, 10436, 269, 279, 267, 676, 476, 273, 269, 14225, 25118, 7830, 269, 898, 568, 4010, 476, 4489, 269, 3607, 272, 25838, 275, 1626, 269, 1924, 476, 10436, 269, 279, 11304, 568, 3160, 476, 4489, 269, 3607, 272, 25838, 275, 1626, 780, 2005, 568, 849, 2009, 547, 5180, 621, 1055, 267, 585, 1383, 267, 547, 1079, 8918, 4025, 269, 898, 3947, 476, 273, 269, 736, 269, 1924, 476, 10436, 269, 279, 11304, 815, 476, 5002, 269, 31634, 6550, 780, 2005, 568, 942, 585, 606, 1383, 689, 4948, 1272, 269, 2913, 779, 5173, 476, 10436, 269, 279, 4846, 4154, 538, 6550, 269, 1924, 476, 10436, 269, 279, 4846, 3160, 547, 875, 1082, 7273, 286, 1306, 538, 519, 3105, 1383, 910, 9062, 476, 10436, 269, 279, 676, 476, 273, 269, 14225, 25118, 7830, 269, 898, 568, 3160, 476, 4489, 269, 3607, 272, 25838, 275, 1626, 269, 1924, 6697, 540, 476, 10436, 269, 279, 13532, 547, 6550, 267, 952, 621, 2501, 547, 4154, 267, 568, 476, 4489, 269, 3607, 272, 25838, 275, 1626, 780, 1103, 713, 2013, 621, 568, 849, 2009, 547, 5180, 1055, 519, 1267, 269, 898, 568, 519, 1267, 1310, 24263, 1055, 267, 713, 942, 547, 835, 8918, 1747, 910, 476, 10436, 269, 279, 11304, 476, 5002, 269, 9834, 6550, 780, 3086, 649, 616, 2469, 547, 1806, 10736, 1210, 513, 2110, 4528, 540, 513, 4542, 780, 1692, 1082, 476, 10436, 269, 279, 4846, 547, 7273, 692, 6524, 649, 1397, 596, 606, 1383, 910, 513, 2656, 12576, 540, 10156, 4542, 1384, 10831, 540, 13532, 2608, 476, 273, 269, 273, 815, 476, 5002, 269, 9834, 519, 1267, 538, 6550, 692, 3383, 476, 10436, 269, 279, 4846, 3160, 547, 875, 1454, 7273, 286, 1306, 538, 519, 3105, 1383, 596, 991, 547, 9062, 1297, 540, 11304, 267, 538, 713, 2013, 476, 10436, 269, 279, 267, 676, 476, 273, 269, 273, 269, 6733, 281, 476, 10436, 269, 279, 2608, 476, 273, 269, 273, 815, 476, 5002, 269, 9834, 269, 1924, 476, 10436, 269, 279, 11304, 568, 476, 273, 269, 273, 6550, 780, 4131, 779, 1118, 1776, 7503, 1210, 13272, 337, 4528, 540, 513, 4542, 269, 3767, 6460, 1945, 689, 4948, 1272, 267, 585, 3236, 267, 476, 10436, 269, 279, 4846, 547, 7273, 2597, 540, 22229, 780, 3383, 1577, 779, 5173, 910, 476, 10436, 269, 279, 11304, 540, 22229, 2608, 476, 273, 269, 273, 815, 476, 5002, 269, 9834, 6550, 540, 22229, 269, 1924, 476, 10436, 269, 279, 4846, 547, 11013, 2527, 568, 4010, 476, 5002, 269, 9834, 780, 2252, 596, 917, 875, 1454, 568, 476, 10436, 269, 279, 11304, 2597, 538, 6550, 543, 666, 5173, 621, 1210, 1079, 1114, 12596, 267, 649, 666, 1847, 593, 269, 3767, 649, 1616, 547, 1397, 596, 891, 4093, 538, 7515, 780, 3519, 3200, 476, 10436, 269, 279, 11304, 547, 6550, 692, 2171, 616, 3222, 602, 4093, 4843, 538, 7515, 616, 865, 1454, 20501, 585, 1034, 540, 596, 269, 1284, 1174, 621, 267, 865, 649, 10356, 782, 891, 4093, 538, 12125, 585, 707, 13418, 269, 9603, 547, 713, 596, 666, 3362, 5635, 476, 10436, 269, 279, 4846, 6697, 547, 7273, 2164, 780, 24375, 609, 513, 476, 10436, 269, 279, 4846, 11224, 7273, 3349, 585, 519, 1101, 4528, 540, 513, 4542, 1384, 298, 559, 9999, 623, 2432, 623, 2432, 630, 12898, 24263, 1055, 547, 1079, 8918, 4025, 994, 10436, 269, 279, 476, 4489, 269, 3607, 272, 25838, 275, 1626, 476, 5002, 269, 31634, 692, 4517, 1631, 723, 513, 1413, 693, 476, 10436, 269, 279, 4846, 3160, 11013, 3349, 585, 519, 2034, 4528, 540, 513, 4542, 1384, 298, 559, 9999, 623, 2432, 454, 10436, 269, 279, 476, 5002, 269, 9834, 692, 2026, 596, 666, 1294, 267, 1310, 24263, 1055, 267, 952, 621, 2501, 547, 875, 1454, 476, 10436, 269, 279, 11304, 11224, 6550, 267, 519, 4093, 616, 711, 1114, 269, 634, 8273, 2179, 519, 811, 1713, 3017, 269, 5901, 621, 538, 2247, 950, 596, 1616, 547, 1118, 8273, 1297, 982, 476, 10436, 269, 279, 13532, 6550, 7503, 780, 1692, 1082, 13532, 476, 10436, 269, 279, 11013, 692, 3086, 596, 4121, 875, 547, 6460, 476, 10436, 269, 279, 13532, 875, 1454, 6550, 855, 649, 616, 2469, 547, 1397, 596, 1945, 811, 269, 1684, 596, 1616, 547, 917, 1018, 621, 568, 286, 1548, 798, 596, 2161, 827, 476, 10436, 269, 279, 11304, 547, 6550, 543, 13728, 9819, 2496, 2171, 786, 1397, 596, 875, 596, 666, 6460, 621, 1900, 676, 1900, 269, 2913, 779, 1376, 269, 1215, 1454, 568, 476, 10436, 269, 279, 4846, 538, 7273, 543, 12063, 2496, 5575, 1919, 1101, 910, 596, 991, 547, 9062, 2179, 540, 13532, 267, 538, 713, 2013, 476, 10436, 269, 279, 267, 676, 476, 273, 269, 14225, 25118, 7830, 269, 1924, 476, 10436, 269, 279, 2608, 476, 273, 269, 14225, 25118, 7830, 815, 476, 4489, 269, 3607, 272, 25838, 275, 1626, 269, 2290, 11304, 568, 3160, 476, 273, 269, 14225, 25118, 7830, 6550, 780, 763, 8870, 851, 568, 1297, 540, 6550, 269, 1924, 538, 713, 1383, 972, 616, 476, 273, 6550, 780, 2414, 2638, 875, 1454, 476, 10436, 269, 279, 11304, 568, 3160, 547, 6550, 543, 13728, 596, 723, 547, 9062, 6824, 851, 676, 476, 1626, 269, 1924, 9062, 476, 14225, 25118, 7830, 676, 476, 1626, 269, 898, 568, 3160, 476, 27628, 31256, 4572, 13728, 780, 3383, 707, 6364, 568, 476, 273, 6550, 543, 476, 27628, 31256, 4572, 13728, 269, 898, 568, 849, 2009, 547, 5180, 1055, 13728, 267, 585, 3236, 267, 547, 1079, 4025, 269, 3973, 707, 1267, 786, 581, 4010, 476, 273, 6550, 543, 476, 3451, 13728, 780, 2026, 596, 666, 1294, 267, 9819, 476, 10436, 269, 279, 11304, 538, 6550, 543, 13728, 3833, 3274, 780, 763, 2063, 9819, 799, 649, 616, 2469, 547, 1397, 596, 568, 9819, 540, 476, 10436, 269, 279, 3723, 6550, 547, 13532, 7397, 269, 5637, 540, 873, 616, 4559, 540, 960, 780, 2414, 5173, 621, 621, 568, 2877, 1776, 4542, 269, 6969, 649, 2285, 596, 621, 267, 1577, 779, 1294, 1384, 1892, 476, 10436, 269, 279, 13532, 7397, 815, 476, 278, 269, 22001, 25320, 5952, 3723, 6550, 2676, 1892, 476, 10436, 269, 279, 3723, 6550, 815, 476, 271, 269, 15946, 22724, 4817, 13532, 7397, 780, 3086, 1577, 779, 1294, 513, 4542, 1384, 10831, 10611, 24655, 292, 2211, 28829, 540, 3723, 6550, 2608, 476, 271, 269, 15946, 22724, 4817, 815, 519, 6364, 538, 13532, 7397, 692, 3383, 547, 6460, 476, 10436, 269, 279, 3723, 6550, 547, 13532, 7397, 596, 723, 547, 9062, 476, 10436, 269, 279, 676, 476, 271, 269, 15946, 22724, 4817, 269, 898, 568, 4010, 476, 271, 269, 15946, 22724, 4817, 269, 1924, 476, 10436, 269, 279, 3723, 6550, 568, 3160, 476, 271, 269, 15946, 22724, 4817, 11304, 7397, 780, 2005, 568, 849, 2009, 547, 5180, 1055, 713, 1267, 267, 585, 1383, 267, 547, 1079, 8918, 4025, 269, 3973, 476, 10436, 269, 279, 3723, 6550, 568, 4010, 476, 271, 269, 1691, 11304, 7397, 780, 2171, 4126, 602, 713, 7503, 729, 607, 2653, 607, 476, 10436, 269, 279, 11304, 883, 6550, 24740, 780, 2171, 4951, 596, 711, 1152, 875, 547, 798, 513, 9819, 476, 10436, 269, 279, 11304, 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 ]
[ 4994, 338, 454, 453, 321, 8548, 7491, 815, 476, 271, 454, 22610, 1775, 538, 897, 912, 453, 14851, 1775, 2652, 630, 340, 268, 272, 2187, 4848, 453, 321, 8548, 7491, 6834, 476, 272, 454, 453, 28134, 314, 992, 267, 897, 316, 6834, 476, 272, 454, 16596, 2551, 267, 536, 8548, 7491, 692, 3698, 2638, 10734, 523, 1030, 2772, 8548, 16615, 9638, 641, 1637, 267, 579, 2187, 453, 12163, 453, 6635, 7714, 912, 453, 453, 28134, 281, 630, 31596, 269, 526, 6783, 264, 3337, 562, 265, 340, 267, 562, 2043, 543, 579, 4609, 454, 453, 453, 340, 281, 630, 842, 264, 1297, 540, 4609, 1641, 547, 13592, 538, 1142, 1367, 454, 453, 14303, 5281, 912, 453, 453, 8161, 540, 6225, 15817, 6241, 585, 30651, 610, 2530, 267, 1376, 689, 476, 271, 454, 453, 12163, 453, 17754, 22674, 338, 815, 2551, 18020, 579, 281, 2639, 453, 333, 815, 2551, 17482, 314, 271, 316, 476, 1948, 1297, 540, 9343, 1775, 4318, 269, 2043, 22322, 453, 258, 476, 272, 269, 30651, 281, 6241, 782, 1875, 25179, 454, 453, 258, 476, 273, 269, 2530, 281, 6241, 782, 4642, 454, 453, 13765, 24624, 815, 1649, 22674, 338, 11203, 476, 271, 1948, 952, 519, 3135, 711, 3160, 547, 4642, 267, 2132, 6936, 282, 3116, 678, 583, 1248, 8771, 454, 453, 13765, 23544, 815, 5286, 27904, 263, 13765, 24624, 267, 7852, 284, 271, 264, 1948, 1293, 1297, 540, 6936, 585, 1142, 9587, 630, 17754, 1030, 2772, 15817, 994, 453, 25785, 22674, 815, 5286, 269, 3602, 263, 13765, 23544, 2525, 333, 25011, 271, 316, 476, 1948, 1109, 25785, 566, 6241, 4994, 454, 453, 32221, 22674, 815, 5286, 269, 3602, 263, 13765, 23544, 2525, 271, 25011, 271, 316, 567, 1948, 2530, 6241, 4994, 454, 14851, 4368, 22674, 25915, 3436, 476, 271, 912, 453, 453, 28134, 18020, 4368, 22674, 266, 340, 316, 815, 476, 271, 454, 16596, 2551, 267, 4368, 22674, 267, 17485, 22674, 7531, 258, 815, 25275, 7529, 4499, 2525, 23751, 258, 5542, 11664, 521, 454, 258, 815, 25275, 7529, 4499, 2525, 284, 692, 18528, 5334, 815, 5286, 15126, 8443, 271, 269, 4905, 267, 476, 271, 269, 4962, 267, 476, 271, 269, 272, 267, 476, 271, 269, 276, 267, 476, 271, 269, 279, 267, 476, 272, 267, 476, 273, 20285, 327, 1301, 995, 5334, 815, 5286, 15126, 8443, 268, 271, 269, 279, 267, 910, 271, 269, 277, 267, 910, 271, 269, 275, 267, 910, 271, 269, 273, 267, 910, 271, 269, 272, 267, 910, 271, 269, 4962, 267, 910, 271, 269, 4905, 267, 910, 271, 269, 9826, 20285, 4289, 7272, 6958, 1460, 815, 32582, 1948, 1592, 540, 5506, 540, 30651, 1851, 1114, 5542, 14170, 454, 4289, 7272, 9078, 1601, 815, 32582, 1948, 1592, 540, 5506, 540, 2530, 1851, 1114, 5542, 14170, 692, 1721, 521, 538, 886, 5334, 912, 258, 585, 521, 538, 5739, 5334, 912, 453, 258, 476, 272, 269, 1039, 1101, 6225, 15817, 454, 453, 258, 476, 272, 269, 272, 1948, 1039, 513, 1007, 6241, 585, 519, 1101, 6225, 15817, 3135, 454, 453, 14140, 10734, 523, 1030, 2772, 5334, 924, 815, 5286, 25910, 3799, 267, 546, 6943, 815, 703, 994, 453, 258, 476, 272, 269, 273, 1039, 621, 883, 2551, 454, 453, 16647, 815, 5286, 269, 26383, 14067, 871, 9230, 28134, 267, 1101, 10734, 523, 1030, 2772, 5334, 924, 4917, 453, 321, 815, 476, 272, 1948, 1297, 540, 2698, 6225, 13592, 454, 453, 329, 815, 476, 272, 454, 453, 5503, 15461, 6958, 1460, 815, 15079, 1948, 1883, 568, 536, 282, 1871, 568, 942, 547, 1205, 6378, 454, 453, 5503, 15461, 9078, 1601, 815, 15079, 1948, 1883, 568, 536, 282, 1871, 568, 942, 547, 1205, 4503, 454, 453, 20135, 10734, 8548, 7491, 815, 476, 271, 1948, 2698, 1297, 540, 6225, 13592, 5949, 454, 453, 6112, 795, 10922, 575, 912, 453, 453, 258, 476, 272, 269, 274, 1039, 13592, 3248, 453, 453, 11133, 8548, 7491, 815, 5286, 20179, 4877, 334, 24480, 17635, 265, 333, 16732, 340, 17070, 4297, 1948, 4397, 1297, 540, 13592, 538, 2551, 1142, 5108, 454, 453, 453, 5417, 8548, 16615, 7272, 641, 267, 536, 8548, 7491, 815, 1039, 318, 2908, 8548, 16615, 10734, 9638, 641, 267, 562, 267, 579, 17070, 267, 1003, 8548, 7491, 994, 453, 453, 20135, 10734, 8548, 7491, 6834, 536, 8548, 7491, 454, 453, 453, 258, 476, 273, 269, 1205, 15556, 585, 1985, 5108, 3248, 453, 453, 26160, 7428, 815, 1039, 8548, 16615, 7272, 641, 314, 2908, 318, 26160, 7428, 263, 5417, 8548, 16615, 7272, 641, 267, 562, 267, 579, 17070, 268, 272, 267, 521, 22708, 453, 453, 258, 476, 273, 269, 272, 946, 2638, 1599, 547, 4137, 950, 621, 3893, 6378, 610, 4503, 282, 952, 621, 1705, 267, 6460, 602, 6241, 883, 476, 271, 543, 3097, 453, 453, 16647, 267, 4368, 22674, 267, 17485, 22674, 815, 2638, 10734, 523, 1030, 2772, 8548, 16615, 263, 26160, 7428, 267, 579, 17070, 268, 272, 994, 453, 453, 258, 476, 273, 269, 273, 2594, 922, 942, 3248, 453, 453, 258, 952, 536, 8548, 7491, 3436, 476, 271, 543, 4368, 22674, 25915, 3436, 476, 271, 912, 453, 14851, 4368, 22674, 25915, 3436, 476, 271, 912, 4848, 453, 5503, 15461, 6958, 1460, 314, 321, 316, 815, 795, 1948, 1039, 942, 585, 6225, 544, 6672, 3893, 6378, 454, 4848, 453, 258, 476, 273, 269, 274, 1039, 1776, 6225, 3135, 883, 2551, 3248, 4848, 453, 2908, 10734, 523, 1030, 2772, 5334, 924, 815, 5286, 25910, 3799, 267, 546, 6943, 815, 703, 994, 4848, 453, 16647, 815, 5286, 269, 26383, 14067, 871, 9230, 16647, 267, 1007, 10734, 523, 1030, 2772, 5334, 924, 4917, 4848, 453, 321, 6834, 476, 272, 454, 453, 453, 19197, 536, 8548, 7491, 3436, 476, 271, 543, 17485, 22674, 25915, 3436, 476, 271, 912, 453, 453, 258, 8640, 17485, 22674, 25915, 3436, 476, 271, 912, 4848, 453, 5503, 15461, 9078, 1601, 314, 321, 316, 815, 795, 1948, 1039, 942, 585, 6225, 544, 6672, 3893, 4503, 3097, 4848, 453, 258, 476, 273, 269, 274, 1039, 1776, 6225, 3135, 883, 2551, 3248, 4848, 453, 2908, 10734, 523, 1030, 2772, 5334, 924, 815, 5286, 25910, 3799, 267, 546, 6943, 815, 703, 994, 4848, 453, 16647, 815, 5286, 269, 26383, 14067, 871, 9230, 16647, 267, 1007, 10734, 523, 1030, 2772, 5334, 924, 4917, 4848, 453, 321, 6834, 476, 272, 454, 453, 453, 329, 6834, 476, 272, 454, 453, 22238, 15058, 6958, 1460, 815, 7003, 263, 5503, 15461, 6958, 1460, 269, 12399, 28829, 1315, 630, 6352, 263, 5503, 15461, 6958, 1460, 269, 12399, 28829, 1341, 7003, 263, 5503, 15461, 9078, 1601, 269, 12399, 3890, 4917, 453, 22238, 15058, 9078, 1601, 815, 7003, 263, 5503, 15461, 9078, 1601, 269, 12399, 28829, 1315, 630, 6352, 263, 5503, 15461, 6958, 1460, 269, 12399, 28829, 1341, 7003, 263, 5503, 15461, 9078, 1601, 269, 12399, 3890, 4917, 453, 4289, 7272, 6958, 1460, 6910, 263, 22238, 15058, 6958, 1460, 994, 453, 4289, 7272, 9078, 1601, 6910, 263, 22238, 15058, 9078, 1601, 9239, 5814, 21267, 28272, 607, 12301, 454, 258, 4729, 454, 14808, 267, 4949, 815, 12301, 16553, 30831, 6600, 12127, 1125, 14352, 279, 267, 476, 277, 4917, 343, 267, 586, 815, 886, 5334, 267, 1592, 7272, 6958, 1460, 454, 258, 1535, 267, 586, 815, 5739, 5334, 267, 1592, 7272, 6958, 1460, 454, 1314, 19502, 3287, 267, 586, 267, 6003, 8782, 23536, 1464, 540, 30651, 5073, 343, 267, 586, 815, 886, 5334, 267, 1592, 7272, 9078, 1601, 454, 258, 1535, 267, 586, 815, 5739, 5334, 267, 1592, 7272, 9078, 1601, 454, 1314, 19502, 3287, 267, 586, 267, 6003, 8782, 23536, 1464, 540, 2530, 5073, 258, 10828, 543, 7470, 454, 1314, 26942, 263, 10401, 284, 271, 269, 274, 994, 1314, 269, 5586, 754, 4590, 258, 7852, 543, 2140, 454, 1314, 15630, 21234, 3488, 23536, 1464, 540, 30651, 543, 2530, 5073, 1314, 15630, 13448, 16932, 3488, 5353, 3005, 3213, 324, 2310, 5073, 1314, 15630, 318, 29786, 3488, 23536, 1464, 5073, 14808, 6745, 697, 9078, 599, 719, 4590, 258, 4453, 4732, 1511, 14808, 3488, 23536, 1464, 540, 30651, 543, 2530, 538, 5739, 15817, 26666, 3299, 546, 7032, 284, 4968, 267, 12001, 18989, 994, 14808, 4732, 1511, 14808, 3488, 23536, 1464, 540, 30651, 543, 2530, 538, 6225, 15817, 26666, 3299, 546, 7032, 284, 4968, 267, 12001, 18989, 994, 1410, 527, 10797, 258, 815, 25275, 7529, 4499, 2525, 23751, 258, 18140, 676, 21267, 454, 258, 815, 25275, 7529, 4499, 2525, 23751, 5814, 21267, 28272, 607, 12301, 454, 258, 4729, 454, 14808, 267, 4949, 815, 12301, 16553, 30831, 6600, 12127, 1125, 14352, 279, 267, 476, 277, 4917, 343, 267, 586, 815, 2039, 14116, 1070, 15817, 26000, 326, 454, 1314, 19502, 3287, 267, 586, 267, 6003, 8782, 10831, 540, 21540, 2958, 908, 631, 20706, 5073, 258, 10828, 543, 7470, 454, 1314, 26942, 263, 10401, 284, 271, 269, 274, 994, 1314, 269, 5586, 754, 4590, 258, 7852, 543, 2140, 454, 1314, 15630, 21234, 6600, 262, 16954, 1637, 540, 2715, 333, 348, 10572, 2715, 340, 348, 26317, 267, 631, 16615, 15580, 2715, 341, 9574, 2715, 326, 348, 9198, 725, 5073, 1314, 15630, 13448, 16932, 3488, 7049, 3130, 5073, 1314, 15630, 318, 29786, 3488, 10831, 540, 21540, 2958, 908, 631, 20706, 5073, 14808, 6745, 697, 9078, 599, 719, 4590, 14808, 4732, 1511, 14808, 3488, 10831, 540, 631, 20706, 21540, 2958, 908, 2412, 26666, 3299, 546, 7032, 284, 4968, 267, 12001, 18989, 994, 258, 4453, 4732, 1511, 14808, 3488, 16344, 17575, 15005, 3299, 12001, 18989, 994, 258, 4453, 4732, 1511, 14808, 3488, 16344, 17575, 4732, 341, 326, 3299, 12001, 18989, 994, 1410, 527, 10797, 258, 815, 25275, 7529, 4499, 2525, 23751, 258, 1439, 454, 258, 815, 25275, 7529, 4499, 2525, 284, 7531, 258, 1820, 6357, 994, 258, 1820, 263, 5503, 15461, 6958, 1460, 994, 258, 1820, 263, 5503, 15461, 9078, 1601, 994, 258, 1611, 22710, 6958, 1460, 815, 2040, 263, 5503, 15461, 6958, 1460, 269, 11161, 28829, 1315, 7003, 263, 5503, 15461, 6958, 1460, 269, 12399, 15405, 258, 1611, 22710, 9078, 1601, 815, 2040, 263, 5503, 15461, 9078, 1601, 269, 11161, 28829, 1315, 7003, 263, 5503, 15461, 9078, 1601, 269, 12399, 15405, 258, 1820, 263, 11743, 22710, 6958, 1460, 994, 258, 1820, 263, 11743, 22710, 9078, 1601, 994, 258, 2625, 15058, 6958, 1460, 815, 7003, 263, 5503, 15461, 6958, 1460, 269, 12399, 28829, 1315, 2698, 10734, 8548, 7491, 454, 258, 2625, 15058, 9078, 1601, 815, 7003, 263, 5503, 15461, 9078, 1601, 269, 12399, 28829, 1315, 2698, 10734, 8548, 7491, 454, 258, 1820, 263, 22238, 15058, 6958, 1460, 994, 258, 1820, 263, 22238, 15058, 9078, 1601, 994, 0, 5228, 521, 21683, 269, 25363, 7757, 12218, 525, 1104, 27661, 5228, 521, 21683, 10422, 641, 1637, 1104, 15510, 454, 5228, 14541, 12201, 1104, 3252, 607, 1187, 7531, 5035, 661, 288, 24998, 2187, 825, 5727, 1607, 1362, 568, 519, 7127, 1448, 547, 519, 11056, 540, 519, 5690, 780, 825, 5900, 1026, 2373, 912, 1038, 1295, 325, 684, 630, 10818, 2567, 9577, 1031, 547, 5173, 519, 8516, 540, 513, 11646, 563, 1038, 23451, 630, 4289, 2567, 1230, 13935, 519, 5934, 543, 5021, 2418, 602, 1142, 4756, 666, 1491, 689, 513, 11134, 454, 2018, 3070, 563, 1038, 2551, 630, 16954, 1637, 2567, 8629, 799, 3568, 513, 1592, 540, 25450, 563, 1038, 1655, 318, 2102, 727, 630, 7049, 727, 2567, 8838, 2711, 3070, 7229, 676, 519, 5690, 563, 692, 825, 1488, 7714, 912, 1038, 1295, 325, 684, 318, 630, 10818, 2567, 634, 1599, 547, 581, 1305, 563, 1038, 23451, 318, 630, 4289, 2567, 5903, 540, 2418, 547, 581, 1305, 563, 1038, 533, 15481, 630, 842, 2567, 26228, 2450, 540, 938, 2551, 563, 825, 29185, 825, 1219, 6449, 8181, 9191, 1345, 267, 1295, 325, 684, 318, 267, 23451, 318, 267, 533, 15481, 2187, 1038, 1582, 269, 2381, 325, 684, 815, 1295, 325, 684, 29390, 1038, 1582, 12500, 2432, 815, 23451, 29390, 1038, 1582, 21014, 1637, 815, 15510, 263, 2381, 325, 684, 318, 267, 23451, 318, 267, 533, 15481, 994, 1038, 1582, 12500, 652, 318, 2102, 727, 815, 7183, 692, 825, 1219, 2196, 4311, 267, 23200, 2187, 1038, 5727, 305, 12584, 519, 27018, 12472, 5690, 780, 1038, 1488, 7714, 912, 2018, 23200, 630, 842, 2567, 7089, 540, 23200, 547, 581, 1500, 676, 519, 5690, 563, 1038, 8173, 1038, 1948, 1820, 6600, 262, 6524, 24097, 333, 2715, 1345, 21014, 1637, 4153, 333, 5073, 1038, 1948, 1582, 12500, 652, 4590, 1038, 1948, 1820, 6600, 262, 16032, 32081, 1354, 281, 2715, 1345, 12500, 652, 318, 2102, 727, 15126, 9574, 8516, 28121, 1345, 12500, 652, 318, 2102, 727, 8807, 5893, 348, 1412, 2020, 1038, 4573, 1807, 815, 11969, 272, 300, 16615, 23330, 1807, 4311 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 536, 684, 687, 267, 18200, 517, 779, 29648, 320, 543, 2030, 541, 535, 30913, 4345, 563, 8253, 1152, 1281, 9849, 1164, 31623, 5781, 723, 2942, 2360, 593, 519, 3952, 267, 519, 1964, 540, 519, 1560, 666, 7985, 607, 1134, 269, 634, 19704, 267, 835, 540, 519, 1034, 1271, 10549, 538, 519, 3003, 1560, 267, 666, 581, 4299, 676, 9849, 1164, 31623, 269, 4400, 31623, 666, 2014, 519, 19704, 547, 3251, 18761, 782, 519, 942, 269, 4746, 267, 621, 666, 2014, 873, 547, 18846, 5594, 27808, 607, 1134, 269, 24930, 3494, 602, 2021, 666, 7985, 689, 30169, 2663, 538, 1272, 1317, 540, 7683, 6972, 899, 538, 1164, 31623, 269, 1635, 12145, 519, 2067, 5163, 540, 519, 3723, 1282, 6972, 267, 1164, 31623, 849, 2014, 606, 2799, 538, 2566, 593, 519, 19704, 563, 20118, 267, 1164, 31623, 666, 2014, 519, 1394, 547, 979, 856, 540, 12972, 269, 1403, 1164, 31623, 616, 12816, 7683, 267, 519, 12636, 779, 2702, 547, 10110, 8710, 666, 2014, 4797, 1394, 1928, 269, 1358, 666, 14771, 519, 31175, 540, 519, 2539, 1394, 267, 543, 666, 936, 2224, 519, 1394, 6091, 563, 4913, 267, 713, 568, 711, 547, 2161, 602, 1164, 31623, 666, 2760, 581, 12816, 269, 1403, 12816, 12212, 543, 711, 1419, 267, 789, 786, 711, 2014, 3978, 2042, 269, 1358, 1058, 711, 581, 12816, 1169, 1554, 269, 898, 779, 1271, 547, 5957, 873, 16434, 569, 547, 2057, 519, 1279, 3856, 2168, 1072, 2042, 540, 519, 3952, 267, 19704, 267, 17094, 956, 267, 543, 1394, 5018, 1657, 563, 3891, 601, 838, 2720, 1034, 4122, 1267, 950, 7513, 12074, 593, 519, 1394, 540, 519, 3723, 1141, 519, 24933, 568, 269, 1358, 949, 849, 581, 519, 1267, 540, 1507, 15998, 540, 5642, 8840, 1055, 540, 835, 3296, 540, 519, 3723, 543, 1140, 2286, 547, 519, 1394, 540, 519, 3723, 269, 1261, 601, 838, 2720, 666, 849, 581, 5642, 2208, 593, 519, 1394, 540, 519, 3723, 269, 1879, 713, 568, 519, 2013, 267, 519, 5642, 2208, 11148, 547, 1332, 538, 519, 4287, 540, 519, 2895, 540, 519, 3723, 563, 3891, 601, 838, 2720, 616, 1034, 4122, 8995, 538, 4587, 2043, 269, 8479, 518, 2043, 849, 7985, 689, 24933, 838, 2720, 267, 855, 519, 1928, 2404, 609, 519, 2783, 2356, 14556, 5809, 538, 10172, 269, 1261, 601, 838, 2720, 723, 519, 12402, 547, 1102, 12787, 513, 1390, 4308, 540, 1928, 269, 634, 24933, 27513, 3294, 267, 2705, 267, 568, 711, 2141, 519, 2014, 540, 519, 1928, 269, 1261, 601, 838, 2720, 616, 1419, 2404, 609, 2030, 541, 535, 30913, 4345, 563, 763, 1928, 602, 568, 2404, 609, 24933, 838, 2720, 666, 581, 14360, 547, 519, 11093, 540, 2597, 593, 519, 3952, 269, 1306, 519, 1367, 6763, 610, 15211, 267, 741, 2597, 568, 5116, 593, 519, 3952, 267, 4929, 519, 24933, 27513, 547, 2046, 593, 543, 1093, 651, 519, 824, 7633, 543, 8031, 538, 519, 3952, 269, 901, 949, 1267, 538, 4049, 1928, 269, 1306, 519, 2783, 5170, 547, 6414, 519, 8031, 538, 519, 3952, 786, 1831, 13035, 543, 22350, 6213, 563, 2252, 596, 610, 2576, 596, 917, 568, 7092, 689, 24933, 838, 2720, 543, 741, 1644, 1928, 267, 972, 616, 513, 1297, 540, 5574, 547, 1413, 547, 269, 1452, 5574, 2039, 689, 11955, 267, 6391, 267, 543, 16909, 5574, 269, 2290, 540, 519, 14724, 2081, 547, 8897, 519, 1928, 543, 9636, 540, 24933, 1928, 568, 547, 946, 2027, 3723, 7028, 269, 1452, 1202, 3421, 616, 5116, 2047, 538, 519, 1367, 781, 10887, 269, 1358, 14867, 519, 1928, 543, 8082, 602, 568, 5116, 593, 519, 3723, 676, 5356, 513, 2571, 15074, 14950, 585, 519, 2597, 547, 581, 14961, 7856, 1510, 4929, 1928, 563, 2467, 616, 849, 513, 1297, 540, 5751, 602, 930, 3494, 949, 14867, 610, 2965, 9258, 24933, 27513, 2208, 543, 3247, 519, 1928, 269, 2290, 3635, 814, 519, 3440, 540, 519, 3723, 1996, 519, 3774, 1247, 3666, 568, 9738, 593, 519, 24933, 540, 519, 3723, 269, 634, 1367, 1287, 10593, 741, 2597, 2509, 519, 3774, 267, 4929, 513, 27012, 540, 519, 24933, 27513, 269, 4033, 5751, 543, 21018, 949, 849, 581, 5340, 602, 666, 948, 3138, 4923, 543, 6001, 6091, 543, 28844, 538, 519, 3952, 267, 17212, 1324, 1928, 269, 16792, 4672, 24502, 543, 2921, 4550, 13611, 6646, 949, 849, 948, 269, 13957, 10943, 6493, 949, 581, 12816, 1247, 12008, 547, 1832, 519, 3723, 21401, 856, 267, 799, 949, 1118, 519, 3723, 1447, 11213, 538, 519, 6640, 563, 294, 719, 267, 3335, 1336, 538, 15847, 2550, 267, 568, 606, 29099, 11213, 1106, 540, 12263, 3361, 676, 11506, 2157, 540, 579, 878, 3679, 538, 519, 18072, 269, 634, 2783, 3335, 16716, 519, 2462, 4745, 593, 519, 2462, 23179, 269, 898, 814, 849, 1044, 1634, 547, 10880, 519, 19704, 267, 1714, 28647, 267, 11263, 267, 17094, 956, 543, 21389, 1235, 1765, 10090, 958, 9170, 602, 814, 513, 8647, 267, 3001, 4745, 563, 763, 1164, 1377, 540, 579, 878, 3679, 538, 513, 1268, 779, 18072, 5932, 519, 2783, 1634, 607, 5409, 584, 545, 9047, 9789, 1292, 2014, 540, 30456, 269, 18726, 32739, 4386, 538, 8370, 856, 540, 4557, 24412, 269, 634, 1453, 540, 3237, 945, 7985, 30456, 786, 723, 513, 1079, 538, 4557, 4960, 540, 3384, 519, 2783, 607, 1134, 563, 1607, 1106, 540, 12263, 267, 1373, 3226, 11213, 267, 568, 519, 31629, 579, 878, 3679, 16358, 1944, 538, 519, 1973, 6908, 269, 634, 16358, 1242, 579, 878, 3679, 1287, 12599, 547, 519, 2230, 1063, 10549, 1141, 789, 6299, 267, 4929, 11508, 950, 519, 3461, 7575, 269, 12580, 1331, 281, 1928, 267, 25017, 267, 11926, 267, 543, 6553, 269, 16952, 2427, 2360, 949, 1331, 9854, 543, 8611, 267, 4352, 5359, 540, 891, 2360, 616, 1360, 4686, 269, 2368, 2550, 723, 4080, 602, 1928, 949, 14556, 1518, 950, 519, 2837, 12772, 267, 971, 607, 950, 596, 3207, 563, 7197, 2665, 540, 30456, 616, 3362, 8995, 676, 513, 10540, 9332, 2077, 779, 4879, 540, 519, 1585, 2589, 269, 4347, 1441, 4255, 666, 849, 581, 5340, 269, 589, 1973, 1449, 547, 3713, 11506, 2157, 540, 579, 878, 3679, 568, 1419, 1031, 607, 1134, 607, 606, 1535, 11920, 547, 13209, 7298, 543, 5312, 30456, 563, 21675, 585, 30456, 3274, 1797, 14874, 2589, 269, 6348, 268, 3122, 1355, 4550, 13611, 5061, 610, 715, 6347, 31312, 630, 8624, 577, 21778, 543, 824, 29416, 8803, 1355, 5061, 267, 3092, 4700, 786, 844, 749, 519, 25017, 267, 519, 11926, 267, 543, 519, 6553, 269, 1717, 267, 5883, 707, 2732, 267, 6197, 2242, 267, 543, 1210, 23833, 5061, 616, 782, 5363, 4724, 4628, 28530, 519, 1034, 4049, 2665, 563, 17829, 602, 1291, 606, 29680, 6197, 616, 693, 513, 2362, 1981, 585, 30456, 269, 7102, 2179, 540, 3635, 11081, 519, 5506, 540, 10956, 13341, 609, 519, 2783, 269, 26805, 707, 4616, 540, 2699, 5779, 267, 4262, 1426, 267, 543, 535, 28229, 1606, 11548, 2989, 10425, 849, 6971, 519, 10171, 540, 5312, 30456, 607, 1134, 563, 28808, 20535, 12192, 595, 267, 6995, 267, 543, 1880, 10683, 2472, 666, 948, 609, 4509, 513, 2635, 6197, 269, 1703, 616, 1007, 5061, 856, 593, 519, 2344, 602, 21391, 519, 1560, 779, 2504, 540, 579, 878, 3679, 26148, 11476, 269, 1717, 267, 4227, 610, 14874, 707, 2949, 2157, 540, 579, 878, 3679, 568, 519, 1655, 16185, 547, 4180, 596, 1291, 513, 30456, 6954, 1272, 563, 9199, 6373, 547, 519, 3723, 267, 2523, 519, 19462, 267, 666, 2049, 538, 1082, 2081, 269, 645, 4474, 873, 267, 20839, 6883, 873, 267, 610, 21177, 1945, 593, 873, 616, 513, 1906, 1114, 2081, 713, 8194, 666, 2049, 269, 9717, 519, 1249, 602, 19462, 616, 17479, 538, 4395, 540, 519, 3952, 267, 789, 3335, 2844, 519, 20015, 660, 540, 971, 8194, 269, 1879, 8194, 4386, 547, 513, 23179, 267, 519, 1267, 666, 581, 513, 11213, 2736, 610, 17795, 269, 6271, 1826, 540, 8194, 602, 666, 2736, 513, 23179, 568, 7368, 2534, 602, 4025, 2566, 593, 519, 23179, 585, 12675, 5712, 540, 942, 563, 29662, 5287, 19462, 666, 581, 19040, 607, 2901, 5634, 610, 4049, 18655, 269, 12580, 540, 5634, 23179, 18655, 1331, 31462, 25290, 1928, 267, 11926, 267, 20015, 2358, 593, 519, 2960, 543, 547, 523, 841, 267, 543, 519, 17418, 547, 1847, 519, 23179, 609, 8897, 269, 27275, 23179, 18655, 2154, 2564, 3007, 543, 616, 8612, 950, 519, 7745, 23179, 5526, 5186, 12097, 610, 771, 29664, 323, 267, 950, 972, 568, 32688, 610, 31018, 538, 519, 23179, 267, 610, 950, 972, 568, 606, 1930, 267, 11702, 10138, 1459, 593, 519, 23179, 563, 23744, 267, 513, 5634, 23179, 2736, 786, 12115, 1510, 1279, 3856, 8374, 269, 1717, 267, 621, 568, 1271, 547, 19944, 826, 2238, 602, 2322, 2604, 593, 519, 23179, 269, 898, 568, 1655, 547, 3251, 1055, 540, 519, 13676, 23179, 543, 5612, 1205, 513, 10943, 842, 610, 5641, 547, 2061, 1022, 811, 3606, 3350, 540, 519, 23179, 7633, 269, 1411, 666, 849, 1799, 984, 559, 1125, 707, 23179, 676, 11093, 513, 1507, 10412, 3440, 1063, 519, 13676, 23179, 543, 519, 23179, 22290, 621, 269, 3973, 267, 11746, 519, 1079, 19462, 1927, 609, 2564, 11746, 269, 4210, 2454, 666, 581, 10970, 7007, 676, 11093, 606, 4672, 3640, 593, 519, 7745, 23179, 2047, 607, 1134, 607, 6173, 908, 707, 3952, 1657, 707, 2212, 563, 5353, 3164, 23179, 18655, 949, 581, 5701, 609, 513, 10943, 842, 267, 5641, 267, 543, 538, 930, 2665, 267, 5634, 6391, 267, 2523, 950, 519, 2462, 23179, 814, 1044, 7745, 269, 9603, 547, 922, 2990, 543, 519, 2604, 519, 2462, 23179, 679, 706, 637, 609, 3232, 2534, 267, 2104, 8374, 666, 2049, 952, 621, 568, 711, 5265, 5701, 269, 10266, 2404, 609, 5634, 23179, 18655, 666, 581, 7307, 609, 936, 7308, 23716, 1928, 6527, 269, 3465, 5524, 1928, 6146, 619, 949, 581, 2556, 585, 4049, 23179, 18655, 563, 763, 7067, 942, 585, 513, 7745, 23179, 568, 5111, 2185, 547, 3670, 4374, 269, 769, 4049, 2665, 1141, 519, 23179, 3587, 7783, 610, 3340, 6391, 267, 7067, 942, 666, 1491, 909, 547, 5216, 4374, 610, 811, 269, 2755, 8374, 2404, 609, 513, 7745, 23179, 616, 5612, 7805, 267, 621, 568, 1271, 547, 4063, 602, 972, 616, 4686, 2665, 950, 3606, 8374, 267, 971, 607, 30169, 267, 666, 1020, 936, 942, 269, 1411, 1058, 5612, 3717, 609, 707, 10540, 9332, 2077, 952, 596, 1589, 596, 723, 7745, 707, 23179, 1813, 547, 8194, 269, 1358, 786, 581, 2111, 547, 13209, 519, 5945, 543, 4363, 519, 3617, 2126, 3681, 269, 0, 5475, 519, 12550, 2675, 8084, 2079, 267, 15998, 540, 519, 30439, 320, 267, 30439, 531, 19357, 639, 267, 1292, 543, 6281, 11487, 14024, 454, 267, 543, 9641, 941, 6569, 689, 519, 533, 926, 13926, 543, 18657, 770, 1400, 7252, 538, 741, 22623, 658, 267, 1647, 543, 1309, 644, 531, 4525, 563, 21547, 14029, 8084, 6514, 540, 15013, 689, 7783, 17944, 4951, 3573, 3834, 699, 8926, 540, 519, 7929, 8778, 267, 4553, 676, 608, 644, 622, 543, 5641, 338, 14178, 689, 519, 30439, 531, 536, 604, 584, 322, 566, 547, 519, 6281, 11487, 14024, 454, 4322, 8237, 883, 6281, 11487, 14024, 454, 267, 799, 1287, 30834, 728, 883, 7522, 518, 267, 24596, 11487, 14024, 563, 763, 3119, 19357, 639, 8371, 883, 1967, 1947, 4130, 11487, 14024, 282, 1079, 6281, 11487, 14024, 454, 26625, 569, 2011, 547, 1142, 27914, 540, 519, 1079, 2000, 984, 539, 2451, 5761, 543, 1614, 6281, 11487, 14024, 454, 338, 2925, 519, 1614, 2000, 984, 539, 1318, 5761, 563, 10376, 27914, 568, 13859, 676, 4839, 3481, 28296, 1572, 519, 19357, 658, 3529, 267, 799, 8371, 547, 1106, 1318, 543, 2451, 3119, 11487, 14024, 602, 1586, 7941, 883, 6281, 11487, 14024, 0, 763, 17692, 338, 543, 645, 7473, 338, 616, 4440, 835, 519, 1034, 30414, 1919, 538, 1483, 1272, 855, 789, 616, 2706, 3579, 538, 9185, 950, 621, 2501, 547, 12596, 269, 4653, 649, 616, 7234, 1614, 540, 17692, 2783, 12596, 602, 948, 721, 798, 590, 9331, 338, 267, 2910, 7419, 25629, 543, 20724, 2207, 17803, 338, 3362, 563, 9616, 281, 1677, 1732, 1174, 741, 3498, 594, 786, 581, 2921, 968, 27168, 892, 2338, 607, 513, 2783, 563, 22428, 596, 723, 7443, 9819, 540, 2898, 1032, 585, 1142, 3923, 269, 3371, 568, 519, 1239, 912, 2026, 596, 23691, 1294, 602, 930, 2418, 540, 14407, 7443, 616, 2318, 543, 930, 616, 2942, 543, 930, 1256, 4642, 269, 1284, 1616, 547, 912, 268, 5681, 2418, 1152, 952, 789, 616, 2318, 454, 268, 19105, 2418, 1152, 952, 789, 616, 2318, 454, 268, 4032, 2418, 1152, 952, 789, 616, 2318, 454, 306, 9331, 9281, 1107 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1369, 513, 1257, 269, 1280, 3236, 267, 513, 5339, 19722, 1522, 4196, 547, 3715, 3159, 267, 782, 8775, 547, 513, 3838, 2686, 4282, 267, 610, 1711, 20451, 780, 13706, 519, 1739, 8574, 689, 9098, 26741, 325, 779, 3209, 11427, 269, 667, 9994, 599, 1384, 2108, 2690, 2348, 5030, 538, 31689, 910, 875, 1082, 1296, 1631, 286, 3683, 8938, 267, 6157, 910, 1352, 1185, 6738, 1031, 547, 3168, 856, 540, 1200, 6885, 267, 1310, 12899, 267, 2161, 267, 693, 513, 4737, 540, 4054, 282, 610, 2663, 267, 538, 519, 4832, 267, 693, 513, 10720, 540, 561, 25788, 799, 621, 729, 7543, 711, 547, 23507, 14325, 2080, 267, 26741, 325, 18271, 513, 1134, 8153, 10839, 689, 9956, 779, 17283, 12462, 2414, 555, 710, 1378, 1582, 581, 3020, 14615, 607, 22548, 20811, 1660, 525, 593, 1200, 2250, 2833, 2713, 2282, 31689, 30745, 269, 3414, 713, 5339, 782, 4288, 267, 26741, 325, 19156, 22548, 20811, 779, 22161, 8826, 2470, 1247, 8195, 9694, 1005, 2509, 519, 6249, 540, 3961, 543, 13597, 269, 589, 6101, 626, 2542, 1131, 7390, 5702, 547, 519, 2081, 538, 799, 713, 19722, 8309, 547, 519, 2949, 12716, 1764, 540, 519, 6429, 780, 275, 269, 12634, 25684, 543, 7600, 2294, 692, 4407, 6101, 1143, 8593, 856, 540, 3870, 1851, 930, 10580, 1813, 547, 9228, 28919, 1107, 12077, 267, 922, 12402, 547, 26777, 1514, 543, 3140, 8658, 1107, 621, 5170, 547, 1217, 3875, 22204, 540, 4207, 1148, 9880, 543, 2259, 269, 3509, 5159, 543, 13915, 5431, 519, 1871, 538, 11504, 5702, 547, 6101, 2609, 267, 1256, 952, 789, 6038, 3442, 547, 6451, 3606, 10850, 883, 741, 10763, 2409, 780, 13010, 267, 15594, 543, 2022, 24645, 31886, 723, 13934, 6101, 1143, 779, 7805, 10714, 540, 12790, 9739, 543, 5380, 269, 18623, 899, 22985, 27074, 932, 752, 9545, 677, 344, 1975, 643, 752, 267, 11977, 590, 4660, 267, 543, 7225, 603, 30215, 723, 11130, 3196, 2685, 585, 519, 13766, 540, 6236, 2152, 540, 1379, 267, 6041, 267, 543, 4187, 538, 1022, 2565, 6278, 609, 1148, 269, 6270, 4145, 7618, 721, 602, 1106, 543, 15312, 798, 711, 2291, 10446, 540, 3677, 1914, 19205, 3889, 780, 276, 269, 16792, 31131, 626, 5811, 692, 2026, 596, 7832, 593, 707, 3460, 998, 519, 5318, 5251, 540, 5339, 9880, 267, 1832, 538, 2247, 519, 4030, 29742, 539, 689, 6101, 626, 2079, 269, 6657, 7114, 32330, 2934, 540, 1106, 543, 2497, 1369, 5931, 267, 23827, 908, 519, 1909, 5129, 676, 1808, 5339, 3457, 267, 543, 1167, 518, 940, 519, 17271, 10096, 24829, 998, 1893, 543, 5888, 269, 5457, 267, 1932, 267, 602, 1100, 2582, 27696, 1935, 6585, 6207, 32022, 936, 1866, 282, 3079, 267, 11441, 547, 11753, 3309, 2994, 607, 3617, 267, 2870, 3638, 267, 13857, 12496, 5827, 540, 27283, 1312, 519, 5898, 543, 6988, 540, 5339, 1568, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 7078, 5220, 5339, 19722, 454, 763, 10703, 527, 2488, 513, 6174, 585, 18512, 5188, 267, 556, 10968, 711, 1152, 609, 1769, 844, 2354, 543, 5339, 19722, 267, 855, 849, 609, 5230, 7076, 7811, 4744, 31277, 593, 267, 954, 620, 807, 267, 519, 1093, 7497, 540, 3310, 563, 763, 6060, 2882, 513, 5618, 5339, 19722, 693, 519, 1376, 540, 1142, 3350, 563, 24145, 776, 24185, 616, 711, 2141, 4857, 543, 950, 789, 616, 621, 666, 581, 1510, 7160, 610, 2985, 1297, 563, 10376, 873, 539, 3184, 267, 2347, 609, 12383, 267, 7851, 267, 12222, 543, 5339, 24185, 267, 6763, 4805, 607, 513, 9910, 2173, 5237, 538, 24744, 547, 3408, 563, 6944, 9009, 547, 1018, 1082, 1004, 1589, 267, 596, 991, 9444, 513, 1390, 1702, 540, 519, 27825, 6862, 513, 2247, 6006, 539, 609, 5339, 24185, 547, 2972, 519, 11015, 781, 11029, 1399, 563, 14240, 540, 1412, 32173, 776, 262, 5339, 454, 14240, 540, 1412, 638, 21320, 262, 19722, 454, 290, 984, 4265, 2458, 23148, 5339, 19722, 267, 19584, 9904, 1227, 5339, 19722, 563, 268, 5339, 3977, 454, 268, 5339, 7613, 454, 268, 5339, 5910, 5014, 454, 268, 5339, 19722, 454, 268, 5339, 4704, 454, 268, 2148, 320, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 293, 5436, 1143, 257, 607, 851, 540, 834, 11286, 1315, 29576, 1299, 7869, 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, 1103, 713, 1770, 267, 649, 786, 1451, 827, 513, 4909, 1523, 538, 3684, 1565, 281, 10442, 519, 6111, 540, 513, 2203, 781, 11236, 269, 1284, 786, 946, 5124, 267, 513, 2442, 5752, 1893, 267, 543, 519, 11885, 5399, 585, 10230, 26398, 269, 2913, 781, 2253, 676, 16459, 519, 2556, 8021, 543, 1104, 532, 873, 883, 938, 5124, 1604, 780, 3499, 7090, 454, 256, 26921, 3888, 11885, 454, 5814, 11885, 607, 5286, 454, 7884, 3086, 267, 1577, 781, 4685, 883, 519, 1888, 269, 14597, 649, 723, 513, 10471, 5627, 1344, 827, 7314, 543, 5243, 267, 543, 649, 1616, 547, 5721, 513, 3684, 1565, 2203, 547, 19665, 2436, 513, 2016, 3239, 568, 513, 3032, 610, 513, 2915, 269, 2991, 2866, 519, 2203, 267, 649, 666, 1449, 922, 2773, 676, 8023, 621, 1007, 2592, 543, 9236, 922, 11236, 609, 519, 4890, 10297, 630, 13906, 610, 2915, 6393, 2414, 6218, 519, 2203, 781, 2773, 267, 649, 666, 946, 1585, 14573, 267, 971, 607, 6111, 267, 8856, 267, 11291, 267, 543, 674, 272, 1606, 14537, 269, 769, 713, 1770, 267, 649, 786, 1445, 593, 6111, 267, 799, 568, 519, 5223, 540, 519, 1297, 540, 2953, 11236, 547, 519, 2698, 1297, 540, 11236, 1500, 269, 7527, 1227, 267, 649, 666, 2099, 6111, 607, 5205, 1384, 16465, 20728, 346, 16914, 5596, 348, 815, 1422, 2765, 3189, 3667, 346, 10831, 540, 2953, 11236, 24828, 3667, 346, 13707, 1297, 540, 11236, 3686, 454, 9681, 4131, 781, 2328, 513, 5124, 1599, 547, 12337, 519, 6111, 540, 513, 2203, 781, 11236, 269, 1284, 786, 946, 519, 2387, 3147, 5596, 23962, 319, 1599, 689, 519, 28189, 5399, 267, 799, 3217, 1079, 7440, 281, 2387, 344, 4671, 4902, 319, 630, 1492, 3020, 10297, 264, 543, 2387, 344, 28177, 319, 630, 1492, 10567, 10297, 6393, 3499, 7090, 454, 5228, 28189, 269, 5471, 7879, 1104, 6111, 23962, 692, 3698, 12337, 318, 3147, 5596, 12169, 4671, 4902, 267, 586, 28177, 2187, 825, 8173, 825, 30770, 519, 6111, 540, 513, 2203, 781, 11236, 780, 825, 2433, 12407, 586, 4671, 4902, 281, 1592, 540, 3020, 10297, 563, 825, 2433, 12407, 586, 28177, 281, 1592, 540, 10567, 10297, 563, 825, 2433, 8873, 281, 6111, 281, 10581, 269, 634, 6111, 540, 519, 2203, 781, 11236, 563, 825, 8173, 825, 2132, 6111, 23962, 12169, 4671, 4902, 267, 586, 28177, 994, 7884, 3086, 267, 1577, 781, 1449, 938, 1599, 609, 930, 3732, 1239, 269, 14597, 649, 723, 519, 1739, 3020, 10297, 543, 10567, 10297, 585, 2947, 2592, 1384, 3499, 7090, 454, 344, 4671, 4902, 815, 1496, 272, 267, 476, 271, 267, 476, 272, 267, 476, 271, 267, 476, 272, 2639, 344, 28177, 815, 1496, 272, 267, 476, 271, 267, 476, 272, 267, 476, 272, 267, 476, 271, 2639, 7884, 2080, 267, 649, 8263, 602, 476, 272, 4564, 513, 3032, 543, 476, 271, 4564, 513, 2915, 269, 1284, 666, 1294, 602, 519, 2203, 7157, 10567, 519, 10297, 585, 519, 1101, 267, 2034, 267, 543, 3791, 2592, 855, 1500, 9073, 585, 519, 8772, 543, 11359, 2592, 269, 2913, 781, 12337, 519, 6111, 540, 519, 2203, 781, 11236, 1384, 3499, 7090, 454, 3147, 5596, 815, 12337, 318, 3147, 5596, 12169, 4671, 4902, 267, 586, 28177, 994, 2745, 6600, 257, 16914, 5596, 281, 2715, 3147, 5596, 348, 5602, 7884, 763, 3977, 1058, 581, 2387, 16914, 5596, 281, 476, 271, 269, 277, 12452, 799, 1797, 602, 519, 2203, 7157, 10567, 519, 10297, 585, 476, 2568, 260, 540, 519, 2592, 780, 3086, 267, 1577, 781, 8831, 938, 1599, 547, 12337, 519, 3328, 6111, 540, 513, 2203, 781, 11236, 936, 2789, 8255, 269, 1284, 666, 798, 713, 676, 13936, 519, 3020, 10297, 543, 10567, 10297, 585, 1142, 2196, 538, 1079, 5094, 8638, 267, 2387, 344, 4671, 4902, 319, 543, 2387, 344, 28177, 12452, 543, 1287, 6677, 22760, 908, 873, 883, 1079, 14249, 1210, 519, 2387, 12639, 26769, 13906, 523, 622, 319, 1599, 269, 7053, 267, 649, 666, 12337, 519, 6111, 540, 519, 2203, 781, 11236, 1210, 519, 2387, 3147, 5596, 23962, 319, 1599, 780, 3499, 7090, 454, 5035, 7844, 16914, 5596, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 13885, 4671, 4902, 815, 11713, 1038, 1582, 13885, 28177, 815, 29129, 825, 1219, 9337, 4311, 267, 586, 4671, 4902, 267, 586, 28177, 2187, 1038, 8173, 1038, 22352, 519, 1686, 540, 11236, 609, 519, 1699, 3020, 543, 10567, 10297, 780, 1038, 2433, 12407, 586, 4671, 4902, 281, 1592, 540, 3020, 10297, 563, 1038, 2433, 12407, 586, 28177, 281, 1592, 540, 10567, 10297, 563, 1038, 8173, 1038, 1582, 13885, 4671, 4902, 6910, 12169, 4671, 4902, 994, 1038, 1582, 13885, 28177, 6910, 12169, 28177, 2020, 825, 1219, 3328, 4311, 267, 2312, 25716, 2187, 1038, 8173, 1038, 30770, 519, 3328, 6111, 540, 519, 2203, 781, 11236, 780, 1038, 2433, 12407, 2312, 281, 536, 944, 269, 6936, 281, 2312, 519, 1686, 540, 11236, 282, 8771, 281, 798, 711, 2312, 519, 1686, 563, 1038, 2433, 8873, 281, 934, 281, 10581, 269, 634, 3328, 6111, 540, 519, 2203, 781, 11236, 563, 1038, 8173, 1038, 586, 4671, 4902, 815, 5286, 26769, 13906, 523, 622, 4311, 13885, 4671, 4902, 994, 1038, 586, 28177, 815, 5286, 26769, 13906, 523, 622, 4311, 13885, 28177, 2020, 1038, 952, 2312, 281, 1582, 269, 27234, 10797, 1038, 2132, 6111, 23962, 12169, 4671, 4902, 267, 586, 28177, 2020, 825, 1219, 2312, 4311, 2187, 1038, 8173, 1038, 13068, 519, 1686, 540, 11236, 563, 1038, 8173, 1038, 1582, 13885, 4671, 4902, 815, 11713, 1038, 1582, 13885, 28177, 815, 11713, 7884, 4131, 781, 1449, 938, 1007, 1599, 609, 930, 3732, 1239, 269, 14597, 649, 723, 519, 1739, 3020, 10297, 543, 10567, 10297, 585, 1614, 8255, 1384, 3499, 7090, 454, 16347, 318, 3147, 5596, 815, 7844, 16914, 5596, 10797, 258, 14840, 476, 272, 454, 344, 4671, 4902, 815, 1496, 272, 267, 476, 271, 267, 476, 272, 267, 476, 271, 267, 476, 272, 2639, 344, 28177, 815, 1496, 272, 267, 476, 271, 267, 476, 272, 267, 476, 272, 267, 476, 271, 2639, 16347, 318, 3147, 5596, 269, 26303, 12169, 4671, 4902, 267, 586, 28177, 2020, 258, 14840, 476, 273, 454, 344, 4671, 4902, 815, 1496, 272, 267, 476, 272, 267, 476, 271, 267, 476, 271, 267, 476, 271, 2639, 344, 28177, 815, 1496, 272, 267, 476, 272, 267, 476, 271, 267, 476, 271, 267, 476, 271, 2639, 16347, 318, 3147, 5596, 269, 26303, 12169, 4671, 4902, 267, 586, 28177, 2020, 258, 14840, 476, 274, 454, 344, 4671, 4902, 815, 1496, 271, 267, 476, 272, 267, 476, 272, 267, 476, 271, 267, 476, 272, 2639, 344, 28177, 815, 1496, 271, 267, 476, 272, 267, 476, 271, 267, 476, 272, 267, 476, 272, 2639, 16347, 318, 3147, 5596, 269, 26303, 12169, 4671, 4902, 267, 586, 28177, 2020, 258, 30770, 519, 3328, 6111, 454, 320, 2071, 318, 3147, 5596, 815, 2203, 318, 3147, 5596, 18502, 2071, 263, 27234, 18989, 994, 2745, 6600, 21202, 2071, 6111, 281, 2715, 320, 2071, 318, 3147, 5596, 348, 5602, 7884, 763, 3977, 1058, 581, 2387, 30182, 6111, 281, 476, 271, 269, 278, 3451, 18357, 18357, 18357, 18357, 274, 12452, 799, 1797, 602, 519, 2203, 7157, 10567, 519, 10297, 585, 476, 10463, 269, 274, 260, 540, 519, 2592, 593, 3328, 780, 7661, 267, 1577, 781, 2328, 513, 1599, 547, 12337, 519, 11667, 6111, 540, 513, 2203, 781, 11236, 936, 519, 2063, 737, 8255, 269, 1284, 666, 798, 713, 676, 2542, 519, 6111, 8464, 689, 513, 3758, 543, 13936, 873, 538, 513, 1592, 269, 3973, 267, 649, 666, 4990, 519, 1592, 543, 2132, 519, 11667, 1871, 780, 3499, 7090, 454, 3698, 11667, 318, 3147, 263, 3147, 18316, 267, 737, 284, 1015, 2187, 825, 8173, 825, 17776, 519, 11667, 540, 519, 2063, 737, 1130, 934, 689, 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 ]
[ 12575, 585, 3388, 281, 8239, 267, 10259, 267, 18685, 267, 2856, 2095, 267, 4845, 2497, 267, 1299, 811, 1205, 3323, 1631, 563, 288, 2947, 24733, 4588, 1557, 593, 10100, 1058, 2270, 606, 4367, 609, 513, 5098, 3948, 267, 1614, 1560, 9433, 602, 1489, 713, 5098, 543, 513, 25759, 5037, 602, 26564, 519, 1557, 781, 1292, 269, 595, 5971, 4214, 1557, 704, 2739, 10100, 568, 547, 798, 1510, 22168, 1018, 835, 1131, 581, 5827, 540, 3257, 609, 519, 1158, 3168, 593, 546, 1075, 632, 3288, 13193, 577, 325, 537, 322, 4954, 323, 269, 1879, 1603, 606, 1557, 593, 10100, 1832, 1114, 2010, 540, 15885, 538, 2247, 1934, 616, 519, 1292, 25727, 543, 4485, 563, 8702, 547, 1433, 11988, 18350, 1260, 1107, 707, 2123, 1603, 6351, 8665, 19890, 267, 10100, 3594, 2985, 568, 896, 4070, 649, 269, 11352, 10464, 1557, 281, 1655, 1747, 547, 4444, 1557, 649, 2709, 513, 2647, 3099, 540, 1603, 563, 290, 5971, 1557, 519, 8675, 713, 568, 4440, 1018, 1034, 1004, 1589, 540, 950, 789, 1589, 540, 10100, 930, 1806, 540, 713, 1826, 540, 10100, 1131, 581, 23001, 16146, 269, 0, 10932, 4574, 585, 4224, 2575, 454, 305, 1442, 2575, 729, 513, 1804, 4062, 540, 519, 4099, 12328, 540, 513, 7361, 15141, 1190, 1895, 540, 1762, 1004, 1354, 519, 5736, 540, 519, 10726, 956, 267, 1714, 6665, 1095, 2917, 1101, 3576, 4224, 562, 5066, 547, 519, 2073, 1382, 1957, 1341, 476, 272, 268, 31229, 268, 4281, 278, 268, 6812, 280, 271, 269, 3194, 4574, 593, 5929, 4224, 2575, 1382, 4574, 827, 5904, 1557, 593, 3109, 543, 3043, 10344, 547, 3314, 606, 1808, 609, 519, 18685, 547, 4482, 519, 2152, 540, 1169, 556, 743, 10719, 540, 7819, 543, 9402, 3741, 269, 10749, 910, 4102, 6538, 540, 2298, 3732, 3594, 543, 1382, 4574, 593, 1686, 540, 4224, 543, 5066, 4224, 562, 262, 5066, 1382, 2648, 267, 2575, 267, 513, 2603, 811, 5061, 267, 4586, 10932, 4574, 593, 19795, 540, 4224, 2575, 19795, 540, 4224, 2575, 1382, 1957, 6445, 856, 519, 1106, 2630, 543, 4309, 707, 5697, 1957, 1631, 269, 3194, 1957, 1383, 1557, 5401, 281, 4224, 2575, 910, 476, 11277, 272, 1913, 4063, 281, 519, 7663, 548, 1382, 1957, 610, 1557, 5401, 596, 1294, 593, 713, 2985, 568, 513, 1863, 1557, 267, 2139, 547, 4896, 596, 666, 946, 1022, 1957, 607, 513, 3732, 593, 875, 547, 2328, 1382, 1957, 267, 1557, 12987, 610, 607, 513, 2707, 540, 1344, 269, 3194, 4574, 5929, 4224, 2575, 1178, 29201, 1148, 610, 6760, 15854, 1408, 320, 1130, 1372, 17754, 17010, 905, 3691, 549, 476, 273, 267, 476, 1001, 279, 1382, 1957, 1770, 1544, 1164, 1153, 519, 1957, 948, 12662, 4061, 543, 1568, 1175, 1454, 547, 1118, 1022, 4255, 676, 267, 6791, 610, 1688, 1174, 27268, 1360, 972, 2111, 563, 763, 3310, 540, 4224, 2575, 593, 1762, 1004, 3483, 540, 1382, 547, 1451, 267, 875, 4224, 2575, 7506, 593, 1762, 1004, 4986, 2242, 1004, 779, 8741, 1431, 543, 9821, 865, 9244, 607, 2575, 269, 9412, 543, 5066, 1382, 1957, 32414, 476, 275, 267, 476, 1001, 275, 5856, 1382, 4574, 476, 271, 4224, 543, 5066, 568, 513, 9135, 540, 2442, 2575, 602, 3262, 538, 519, 4571, 268, 4198, 271, 338, 922, 1543, 568, 513, 1547, 7348, 1557, 910, 2575, 3797, 1382, 1957, 689, 1603, 476, 6200, 693, 6280, 540, 519, 9443, 7493, 281, 519, 3483, 540, 713, 1382, 1957, 568, 547, 2626, 519, 2243, 1281, 2575, 3797, 723, 513, 2318, 269, 3194, 4574, 1382, 1957, 630, 17549, 476, 28192, 274, 264, 593, 1686, 540, 2197, 2575, 281, 1282, 519, 2250, 29235, 1296, 267, 2197, 2575, 814, 8854, 998, 1082, 2242, 593, 519, 824, 1688, 267, 2197, 2575, 814, 2141, 18808, 609, 1483, 2152, 540, 3921, 1382, 1957, 476, 28192, 274, 563, 763, 4224, 2575, 568, 513, 1114, 2186, 540, 2575, 585, 4896, 547, 6432, 267, 4688, 585, 1346, 945, 2648, 621, 585, 741, 1378, 4128, 519, 9135, 3357, 883, 1373, 607, 2048, 13702, 543, 887, 1547, 5999, 827, 4224, 543, 5066, 630, 516, 14142, 1957, 264, 865, 1775, 991, 547, 2328, 513, 1382, 1957, 593, 4224, 562, 5066, 713, 1957, 1590, 2491, 4224, 562, 5066, 781, 5169, 543, 875, 621, 814, 4957, 270, 8882, 1663, 10642, 13314, 538, 519, 2250, 543, 1459, 269, 17664, 1223, 798, 930, 4282, 1382, 593, 1312, 5929, 4224, 543, 5929, 12563, 2575, 607, 789, 12936, 519, 476, 3422, 271, 338, 2486, 524, 887, 1087, 1058, 3382, 1312, 3584, 538, 1010, 1382, 1957, 646, 1281, 711, 991, 547, 7522, 519, 1888, 2417, 563, 8698, 2182, 4224, 2575, 1382, 4574, 593, 24243, 9254, 585, 1863, 269, 8535, 1382, 1957, 1451, 875, 547, 2328, 1382, 1957, 593, 2575, 1271, 1592, 540, 2575, 1382, 1957, 3584, 4224, 2575, 1686, 2575, 543, 24890, 269, 8535, 2090, 1957, 3584, 519, 3318, 5234, 693, 1379, 335, 3639, 1260, 616, 9280, 547, 6023, 513, 3099, 540, 18125, 1644, 547, 519, 3376, 8552, 540, 3584, 602, 666, 581, 3769, 538, 2575, 2090, 713, 6791, 666, 581, 1031, 547, 4217, 1053, 2429, 519, 1382, 1184, 689, 1888, 5542, 547, 11049, 513, 8737, 1587, 563, 10932, 4574, 585, 4224, 2575, 454, 10907, 611, 8598, 9254, 568, 513, 3760, 585, 19174, 547, 2671, 1382, 4574, 519, 1353, 5059, 593, 519, 1198, 540, 4282, 2575, 547, 2852, 1053, 262, 4081, 2773, 1547, 3194, 4574, 585, 4224, 2575, 1382, 15682, 24067, 4224, 1299, 519, 2034, 2528, 1273, 1562, 517, 267, 818, 2151, 1496, 529, 16818, 281, 476, 7818, 268, 271, 268, 280, 7761, 29616, 279, 268, 271, 268, 277, 316, 20789, 1188, 910, 24067, 4224, 1299, 519, 2034, 2528, 568, 1250, 1699, 2542, 267, 513, 519, 536, 4545, 549, 1111, 5399, 568, 519, 3119, 2027, 10070, 5399, 693, 519, 6280, 540, 1608, 4727, 267, 10874, 18403, 269, 9412, 543, 22850, 2575, 723, 1044, 9228, 676, 930, 1004, 547, 581, 519, 2014, 540, 2799, 10795, 543, 824, 4550, 1606, 3469, 2623, 2523, 547, 519, 1762, 1004, 930, 8044, 602, 971, 8226, 568, 606, 936, 8063, 618, 607, 972, 616, 1082, 824, 2188, 538, 321, 16742, 538, 1480, 7919, 602, 10511, 10028, 741, 3765, 2041, 6409, 12542, 563, 268, 5903, 540, 4277, 2575, 1382, 1557, 3584, 547, 2328, 827, 1382, 4574, 666, 581, 2854, 538, 1022, 4928, 267, 1256, 538, 519, 6575, 4574, 827, 7574, 3584, 616, 811, 11791, 585, 1053, 547, 2328, 982, 519, 4574, 827, 3621, 610, 5339, 3584, 563, 268, 594, 6415, 538, 519, 1184, 540, 1603, 513, 1382, 1957, 585, 1250, 7005, 1362, 267, 543, 519, 1888, 602, 1775, 723, 6074, 568, 593, 22850, 2575, 811, 4481, 281, 875, 519, 5048, 540, 22850, 2575, 814, 4957, 689, 513, 1382, 1957, 593, 22850, 2575, 910, 2104, 12696, 15473, 563, 268, 634, 1283, 476, 736, 1034, 4277, 1382, 1957, 3584, 827, 2575, 2575, 568, 513, 26460, 621, 779, 1945, 602, 16764, 21593, 267, 543, 4896, 666, 1745, 563, 1103, 519, 476, 3422, 271, 338, 4224, 2575, 1131, 1376, 547, 979, 1688, 538, 1688, 609, 3023, 543, 5061, 782, 1863, 2228, 1382, 4574, 267, 1382, 1957, 5439, 543, 1383, 1382, 1547, 27755, 404, 361, 12022, 25078, 12168, 365, 404, 361, 8294, 12022, 18457, 28257, 14534, 8294, 12022, 24291, 404, 368, 24220, 8294, 24220, 14643, 540, 1762, 1870, 5443, 27755, 404, 361, 12022, 25078, 12168, 365, 404, 361, 8294, 12022, 18457, 28257, 14534, 8294, 12022, 24291, 404, 368, 24220, 8294, 24220, 269, 594, 991, 547, 2097, 909, 609, 513, 6405, 1888, 585, 1250, 1557, 1775, 786, 1603, 2663, 593, 538, 519, 1153, 1032, 1775, 9364, 269, 0, 298, 523, 15326, 476, 1691, 324, 1983, 669, 4029, 454, 577, 1986, 476, 4029, 7819, 1272, 538, 519, 968, 549, 2130, 1000, 550, 625, 2223, 476, 4489, 280, 1700, 4572, 280, 575, 3384, 3140, 1983, 1620, 2686, 7835, 538, 3140, 2796, 269, 717, 3384, 3140, 1983, 519, 1101, 851, 540, 713, 3184, 6257, 519, 2101, 1514, 543, 2804, 2242, 540, 519, 476, 4572, 271, 338, 269, 10434, 4252, 5758, 23345, 2705, 14646, 536, 598, 333, 958, 543, 14646, 642, 561, 785, 25669, 540, 1007, 26294, 1185, 1101, 2557, 8186, 543, 8810, 1983, 607, 7819, 1686, 476, 1691, 324, 15220, 4029, 630, 272, 563, 11293, 333, 652, 646, 2719, 3118, 3594, 543, 1382, 4574, 1923, 1806, 22967, 339, 3736, 321, 714, 14646, 535, 32650, 15326, 543, 8788, 32650, 15326, 476, 1691, 324, 1983, 669, 4029, 269, 4828, 1603, 3028, 10681, 817, 9892, 14567, 344, 344, 656, 3317, 720, 846, 937, 528, 16769, 533, 698, 21590, 993, 732, 20393, 554, 4428, 2006, 1854, 9535, 5223, 2079, 606, 2079, 540, 519, 1871, 540, 2069, 269, 1977, 1686, 476, 1691, 324, 15220, 4029, 630, 272, 264, 910, 1863, 4647, 607, 7824, 3758, 32650, 15326, 267, 7820, 7015, 2797, 1983, 543, 2123, 19259, 602, 646, 729, 2111, 547, 5352, 563, 298, 523, 15326, 476, 1691, 324, 1983, 669, 4029, 682, 320, 3045, 10689, 18189, 14172, 1557, 11648, 1557, 19967, 13299, 1557, 8808, 3069, 1557, 563, 8505, 558, 9394, 2872, 2433, 14247, 2275, 615, 3832, 16769, 2433, 1073, 1084, 597, 964, 1102, 657, 679, 6935, 513, 11355, 632, 12911, 516, 3747, 324, 267, 512, 748, 678, 15530, 738, 1846, 1357, 546, 753, 11552, 2985, 2189, 2433, 18914, 2872, 269, 476, 2412, 279, 476, 6078, 476, 27149, 276, 476, 8517, 268, 273, 476, 9965, 4817, 476, 28656, 268, 273, 476, 7176, 280, 276, 476, 3583, 275, 268, 273, 476, 12553, 280, 5392, 15886, 15886, 15886, 4200, 476, 3199, 268, 272, 476, 6434, 280, 276, 476, 23470, 268, 273, 476, 7176, 280, 276, 476, 280, 6924, 476, 275, 4097, 476, 10482, 4817, 476, 276, 4510, 476, 275, 476, 15886, 276, 476, 276, 5379, 476, 271, 476, 3583, 476, 4572, 476, 274, 476, 15433, 279, 4200, 15886, 15886, 15886, 7176, 476, 275, 5038, 476, 2641, 476, 4097, 269, 0, 763, 2949, 7059, 3114, 3830, 585, 519, 5114, 568, 912, 277, 2910, 273, 1341, 476, 277, 670, 273, 302, 9890, 595, 277, 295, 1321, 302, 277, 1341, 476, 277, 744, 273, 454, 21982, 883, 2272, 782, 540, 519, 1657, 3157, 267, 519, 1655, 1699, 7447, 689, 30173, 3560, 543, 7998, 3631, 568, 602, 476, 1789, 260, 540, 8093, 4492, 2910, 273, 19501, 547, 519, 5790, 568, 11368, 538, 519, 12084, 269, 1284, 4718, 538, 602, 1152, 476, 2004, 260, 540, 519, 19501, 2910, 273, 2965, 3788, 538, 519, 5790, 269, 2334, 3762, 513, 476, 736, 260, 7508, 16173, 269, 1284, 1631, 2490, 547, 19718, 676, 519, 1979, 14459, 607, 513, 2009, 7778, 585, 713, 7508, 16173, 563, 27807, 11061, 607, 621, 12211, 547, 4414, 2135, 18696, 912, 2467, 616, 11476, 1369, 513, 1560, 602, 616, 19535, 5135, 2249, 630, 4629, 306, 264, 543, 1866, 602, 616, 19535, 9436, 2249, 630, 305, 10064, 1040, 589, 19717, 538, 519, 16617, 516, 9134, 1533, 540, 519, 1591, 267, 538, 799, 681, 5308, 2504, 20489, 15934, 23640, 267, 568, 1572, 19842, 2566, 563, 3528, 21658, 267, 6491, 4592, 894, 2566, 568, 606, 15717, 538, 6491, 878, 12547, 630, 17472, 264, 15202, 3361, 676, 2799, 5666, 540, 681, 10064, 267, 799, 949, 581, 3361, 676, 267, 610, 2404, 609, 267, 513, 19717, 538, 519, 4414, 2135, 1533, 269, 1306, 5941, 4505, 267, 1863, 18119, 616, 3810, 19535, 6675, 609, 10002, 8529, 9211, 563, 10907, 5120, 566, 540, 8904, 630, 332, 521, 268, 273, 994, 763, 1966, 5956, 950, 2901, 681, 5308, 630, 2135, 9179, 264, 610, 681, 10064, 630, 24965, 794, 264, 1205, 856, 540, 3666, 543, 19890, 538, 6806, 16983, 610, 11432, 1949, 4586, 2304, 16983, 609, 4057, 10009, 543, 1970, 5135, 2157, 666, 18711, 2509, 4057, 16617, 267, 22159, 568, 10300, 1540, 676, 519, 3165, 1560, 17418, 547, 2569, 891, 2706, 2135, 1938, 563, 763, 1657, 9819, 1869, 21179, 919, 519, 19718, 540, 2910, 273, 676, 519, 5836, 1317, 621, 17648, 519, 2898, 5836, 547, 581, 538, 11466, 609, 519, 5790, 269, 901, 11466, 568, 538, 1249, 711, 6913, 1317, 540, 519, 3500, 11544, 540, 519, 5836, 269, 2982, 513, 2241, 4216, 2203, 585, 519, 30173, 10009, 563, 2080, 568, 519, 3830, 585, 15591, 912, 6826, 1459, 1107, 1403, 519, 1152, 3364, 594, 1589, 827, 607, 594, 6557, 6972, 547, 960, 568, 875, 1454, 594, 723, 547, 798, 267, 1287, 594, 6557, 2907, 538, 519, 4636, 1533, 540, 2247, 950, 594, 3802, 998, 602, 7450, 269, 898, 779, 2182, 547, 8011, 693, 960, 950, 594, 6557, 14129, 827, 519, 5816, 543, 13030, 17930, 269, 898, 1152, 8591, 547, 519, 3190, 952, 594, 544, 1638, 621, 936, 782, 1554, 267, 865, 594 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 15531, 519, 6824, 540, 513, 7274, 269, 6201, 692, 3528, 1923, 5181, 476, 3066, 267, 476, 1708, 273, 692, 23804, 519, 8454, 540, 513, 7274, 3274, 1797, 4466, 1018, 7274, 519, 6824, 4564, 538, 519, 2898, 269, 18833, 1279, 6498, 568, 2141, 5363, 950, 4466, 519, 6824, 540, 513, 7274, 602, 4564, 519, 2898, 780, 23804, 519, 6824, 540, 513, 7274, 666, 581, 3274, 2944, 538, 1079, 2081, 267, 596, 666, 1265, 519, 7274, 540, 513, 6824, 676, 14921, 519, 19362, 540, 519, 8454, 543, 12270, 621, 676, 519, 14009, 610, 835, 666, 1265, 519, 6824, 540, 513, 2016, 7274, 676, 12270, 519, 19362, 609, 519, 14009, 543, 1287, 25092, 519, 2164, 676, 519, 7274, 780, 4131, 779, 1413, 693, 782, 519, 1079, 2081, 540, 4466, 519, 6824, 540, 513, 7274, 543, 741, 1806, 780, 1012, 15531, 519, 6824, 540, 513, 7274, 676, 14921, 519, 19362, 609, 519, 7274, 543, 12270, 519, 2164, 676, 519, 14009, 780, 3721, 476, 272, 269, 25092, 519, 19362, 609, 519, 7274, 780, 21163, 476, 273, 281, 19147, 519, 2164, 676, 519, 14009, 269, 4635, 1279, 6498, 568, 2653, 950, 596, 616, 711, 4847, 547, 946, 9498, 780, 4131, 779, 1413, 693, 606, 1383, 540, 713, 1505, 780, 20728, 346, 7078, 281, 1265, 476, 4153, 11898, 21702, 346, 273, 2410, 278, 348, 1422, 11898, 1422, 3667, 346, 1993, 4153, 11898, 6321, 315, 11898, 20728, 346, 326, 718, 976, 540, 4620, 1503, 27874, 454, 20728, 23533, 10179, 1807, 476, 273, 609, 519, 7274, 476, 6321, 476, 4153, 11138, 3667, 19127, 663, 7941, 519, 2164, 676, 476, 278, 4153, 11898, 7807, 2765, 346, 273, 2410, 278, 348, 9943, 6321, 11138, 7807, 2765, 346, 273, 9943, 6321, 2410, 278, 18098, 2765, 346, 12208, 2410, 278, 27874, 454, 284, 1626, 1422, 11898, 20728, 346, 326, 718, 976, 540, 4620, 1503, 10926, 1012, 15531, 519, 6824, 540, 513, 7274, 676, 12270, 519, 19362, 543, 519, 14009, 543, 14921, 519, 2164, 676, 519, 7274, 780, 21163, 476, 272, 269, 19147, 519, 19362, 543, 14009, 540, 519, 6824, 692, 21163, 476, 273, 269, 25092, 519, 2164, 676, 519, 2016, 7274, 692, 4131, 779, 1413, 693, 606, 1383, 896, 713, 1505, 692, 20728, 346, 7078, 269, 4855, 476, 4153, 11898, 21702, 346, 275, 2410, 276, 4153, 11898, 1422, 3667, 346, 1993, 476, 4335, 9489, 27874, 454, 12585, 281, 1422, 3667, 346, 9616, 602, 476, 4153, 11138, 3667, 346, 1492, 1297, 602, 5205, 519, 1412, 1993, 1412, 568, 519, 4153, 11138, 3667, 346, 7274, 269, 19147, 519, 19362, 676, 519, 4153, 11138, 3667, 346, 14009, 1775, 4318, 476, 275, 383, 371, 276, 284, 271, 269, 279, 269, 4153, 11138, 3667, 346, 10190, 9062, 519, 2164, 476, 271, 269, 279, 676, 476, 4335, 348, 8607, 315, 3667, 18097, 3326, 1513, 815, 476, 271, 269, 279, 9943, 4335, 284, 6110, 9489, 10926, 303, 847, 6005, 4466, 519, 6824, 540, 513, 7274, 269, 8347, 707, 3946, 593, 519, 1739, 780, 20728, 346, 8340, 519, 1739, 4153, 11898, 5416, 1040, 1422, 2765, 346, 275, 2410, 278, 4153, 11898, 20728, 346, 1993, 835, 3018, 286, 4153, 11898, 11138, 263, 321, 1040, 1422, 2765, 346, 272, 2410, 1428, 4153, 11898, 20728, 346, 1993, 476, 273, 3108, 286, 4153, 11898, 6262, 1040, 1422, 2765, 346, 274, 2410, 275, 4153, 11898, 20728, 346, 1993, 476, 273, 2395, 286, 10926, 3918, 4696, 281, 1109, 1548, 568, 513, 771, 329, 2002, 5036, 267, 8847, 267, 543, 1806, 0, 258, 1975, 332, 2889, 915, 11711, 692, 18744, 2139, 593, 5530, 300, 1712, 454, 1892, 13445, 281, 5384, 267, 8416, 2773, 267, 3687, 1393, 454, 1892, 9664, 2433, 476, 273, 630, 5780, 278, 1913, 12467, 1892, 8281, 4433, 264, 2433, 476, 4198, 454, 1892, 15618, 2433, 5239, 476, 1704, 267, 476, 1001, 272, 692, 17806, 2776, 1613, 454, 273, 269, 1548, 568, 519, 5021, 1279, 3856, 24276, 998, 1584, 2557, 540, 25547, 1516, 7233, 1948, 272, 286, 1548, 2188, 1860, 713, 998, 1584, 2557, 2496, 763, 5021, 1279, 3856, 24276, 998, 1584, 2557, 568, 5462, 676, 519, 4199, 609, 519, 2547, 4390, 269, 1306, 1114, 1184, 11507, 616, 4553, 676, 3819, 543, 6632, 15708, 267, 972, 786, 581, 3982, 543, 5094, 5021, 24276, 998, 1584, 3928, 585, 891, 1079, 2472, 269, 634, 4390, 540, 519, 3819, 619, 568, 519, 4420, 331, 2940, 1188, 585, 519, 6632, 15708, 269, 4475, 267, 519, 5021, 998, 1584, 585, 6632, 15708, 568, 476, 7785, 536, 321, 3149, 10774, 337, 269, 1306, 585, 3819, 15708, 267, 519, 9668, 1184, 568, 519, 4420, 331, 2940, 1188, 269, 634, 5021, 998, 1584, 585, 3819, 15708, 786, 4061, 581, 476, 6344, 271, 536, 321, 3149, 10774, 337, 269, 634, 5021, 24276, 998, 1584, 2557, 1131, 581, 4299, 676, 2242, 538, 519, 6871, 540, 3819, 610, 6632, 15708, 269, 634, 998, 1584, 1131, 849, 581, 4299, 676, 519, 4420, 331, 2940, 1188, 585, 15018, 15708, 547, 581, 16041, 883, 13557, 18114, 610, 9126, 3022, 269, 5231, 634, 4393, 2557, 540, 519, 1614, 3021, 1807, 3515, 849, 4299, 519, 998, 1584, 2557, 607, 4393, 17379, 607, 519, 6871, 540, 3983, 4829, 2799, 780, 275, 269, 2201, 3328, 267, 875, 1279, 786, 519, 18114, 723, 547, 7227, 593, 513, 11112, 1554, 286, 27539, 513, 476, 1556, 600, 1376, 540, 4393, 540, 15708, 543, 513, 6024, 12625, 2557, 540, 15708, 540, 476, 272, 267, 4335, 536, 321, 3149, 10774, 337, 269, 2608, 3962, 5662, 267, 972, 616, 630, 5611, 271, 265, 271, 269, 278, 264, 815, 476, 10755, 271, 6277, 3149, 540, 6632, 15708, 543, 630, 5611, 271, 265, 271, 269, 274, 264, 815, 476, 14596, 540, 3819, 15708, 269, 2608, 22427, 4242, 1376, 21945, 693, 1472, 476, 278, 4456, 692, 265, 4595, 519, 4390, 540, 25510, 1772, 1152, 476, 17168, 271, 267, 645, 1231, 1205, 2407, 1310, 630, 17168, 271, 270, 10755, 271, 264, 815, 476, 274, 269, 4962, 3108, 267, 693, 827, 476, 1015, 4456, 2608, 14409, 6238, 693, 476, 1556, 4456, 454, 265, 693, 476, 278, 10681, 267, 630, 10755, 271, 268, 7785, 12684, 279, 815, 476, 11740, 271, 536, 321, 3149, 1058, 581, 4371, 3544, 538, 519, 25510, 269, 3719, 4390, 568, 476, 17168, 271, 2608, 2991, 630, 10755, 271, 265, 275, 266, 11740, 271, 268, 17168, 271, 8358, 7785, 815, 476, 278, 269, 6858, 31477, 267, 693, 1472, 476, 273, 269, 2412, 4456, 519, 2063, 14903, 568, 796, 2903, 539, 2608, 4475, 267, 2698, 7996, 942, 936, 1934, 786, 581, 689, 476, 1015, 269, 876, 4456, 547, 476, 273, 269, 2412, 4456, 267, 799, 568, 3160, 547, 476, 1626, 269, 6858, 31477, 269, 2608, 19105, 7996, 942, 538, 713, 2013, 786, 581, 630, 278, 3199, 271, 268, 17168, 271, 31618, 1626, 269, 6858, 270, 273, 19422, 4037, 265, 25838, 265, 271, 269, 3583, 264, 815, 630, 29121, 271, 265, 279, 269, 28178, 8358, 14096, 6872, 269, 276, 284, 274, 269, 876, 327, 3464, 476, 276, 269, 2201, 3328, 267, 875, 1279, 786, 519, 18114, 723, 547, 7227, 593, 513, 11112, 1554, 286, 27539, 513, 476, 278, 600, 1376, 540, 4393, 540, 1862, 0, 290, 20975, 454, 13146, 28567, 692, 19425, 1161, 692, 258, 8298, 15162, 332, 16572, 8018, 476, 279, 628, 6103, 4569, 26964, 6096, 5999, 1280, 27240, 619, 8342, 692, 3528, 8861, 808, 269, 4446, 5886, 593, 4864, 476, 1015, 476, 1001, 279, 476, 6860, 281, 876, 281, 7918, 692, 14399, 786, 581, 1565, 693, 1153, 875, 547, 5180, 909, 17447, 547, 519, 14282, 2898, 1297, 269, 589, 1187, 1259, 547, 26821, 713, 693, 1753, 568, 547, 946, 2834, 2531, 16394, 543, 3715, 602, 1142, 4062, 568, 513, 8918, 1297, 630, 810, 513, 2531, 3626, 835, 609, 476, 274, 15956, 543, 476, 275, 15956, 568, 476, 274, 269, 275, 1040, 11559, 873, 547, 1404, 609, 519, 2531, 16394, 267, 855, 609, 519, 4341, 602, 789, 666, 1152, 267, 585, 1383, 267, 6443, 476, 273, 2531, 16394, 602, 616, 1369, 476, 272, 269, 276, 540, 1142, 824, 269, 901, 786, 2731, 1205, 873, 3206, 827, 1018, 1142, 8918, 1448, 4564, 269, 589, 1297, 1899, 666, 849, 581, 3730, 950, 24263, 17447, 780, 9359, 676, 1739, 519, 2596, 1184, 585, 6824, 8691, 267, 7432, 1022, 6404, 8454, 883, 16789, 3283, 269, 6969, 596, 3444, 22599, 610, 9062, 267, 2705, 267, 23396, 519, 19362, 543, 519, 14009, 538, 519, 2034, 6824, 269, 901, 568, 1572, 2921, 519, 23483, 543, 621, 568, 519, 1883, 1900, 547, 2490, 713, 883, 513, 6498, 5106, 269, 3973, 267, 3444, 22599, 267, 9062, 2066, 547, 1205, 519, 2626, 6824, 267, 543, 2569, 780, 2080, 779, 15691, 602, 1631, 28976, 8454, 585, 596, 1131, 581, 2653, 543, 711, 865, 2048, 339, 4459, 3917, 9957, 8414, 17773, 2439, 2252, 596, 798, 711, 1174, 519, 1455, 9238, 540, 7223, 1287, 596, 786, 12777, 581, 4503, 11014, 950, 621, 2501, 547, 713, 1641, 269, 9861, 4503, 538, 519, 2038, 5933, 540, 7223, 666, 581, 29070, 1317, 972, 616, 1082, 1296, 540, 4359, 7223, 1175, 5679, 12177, 593, 707, 7450, 269, 4495, 596, 1831, 811, 8746, 543, 707, 4313, 1377, 4679, 267, 596, 666, 2965, 7794, 621, 676, 3843, 547, 4019, 2241, 15821, 3156, 547, 4948, 1272, 269, 1411, 786, 4166, 1265, 856, 602, 7223, 568, 711, 3833, 607, 2352, 607, 596, 949, 723, 2899, 2219, 269, 0, 1012, 29329, 10789, 281, 4045, 532, 16610, 998, 13335, 692, 8245, 680, 1518, 519, 3830, 547, 3489, 281, 1422, 8218, 9387, 15857, 476, 273, 344, 268, 275, 343, 261, 15871, 273, 24206, 476, 273, 343, 1341, 8987, 273, 24206, 476, 278, 9385, 315, 476, 273, 344, 268, 275, 343, 261, 15871, 275, 343, 268, 1691, 11138, 476, 273, 344, 261, 15871, 275, 343, 268, 1691, 266, 275, 343, 11138, 476, 273, 344, 261, 15871, 1691, 11138, 586, 261, 15871, 278, 1422, 754, 9387, 15857, 31962, 281, 634, 3113, 540, 606, 3830, 540, 519, 1106, 1269, 344, 284, 330, 259, 568, 513, 8880, 1899, 602, 10596, 998, 519, 1448, 18159, 271, 267, 737, 30879, 2353, 2798, 593, 519, 1899, 723, 513, 1269, 344, 27572, 1723, 15453, 540, 1269, 330, 8961, 543, 519, 3113, 814, 1100, 1269, 343, 27572, 5793, 1061, 8259, 1269, 330, 284, 271, 10608, 4935, 267, 519, 3113, 540, 519, 2016, 1899, 568, 513, 8880, 1899, 602, 10596, 998, 18159, 271, 267, 910, 278, 30879, 634, 3113, 814, 1100, 1269, 343, 27572, 5793, 1061, 269, 28582, 547, 519, 3113, 1657, 269, 0, 258, 3848, 476, 273, 910, 14572, 12307, 910, 476, 273, 268, 274, 14572, 11638, 28157, 12307, 910, 6657, 543, 9046, 4149, 6295, 20113, 910, 8525, 476, 7176, 281, 476, 6246, 692, 259, 326, 284, 275, 269, 2767, 6911, 2971, 4518, 5153, 676, 5153, 692, 2171, 1376, 609, 519, 2016, 3830, 281, 1269, 1839, 269, 2190, 284, 276, 326, 266, 274, 269, 8660, 259, 1284, 9062, 519, 2898, 3830, 676, 1269, 1911, 259, 281, 1269, 1911, 263, 1839, 269, 2190, 284, 276, 326, 266, 274, 269, 8660, 7751, 1284, 4019, 519, 2733, 5737, 3959, 547, 9062, 1142, 2165, 676, 1269, 1911, 259, 281, 1269, 21857, 275, 284, 4335, 326, 266, 4343, 280, 259, 1284, 10208, 1269, 4343, 280, 259, 689, 1142, 2427, 540, 519, 3830, 281, 1269, 21857, 275, 268, 4343, 280, 284, 4335, 326, 259, 1284, 9192, 519, 899, 2474, 593, 1142, 2427, 540, 519, 3830, 281, 1269, 22659, 276, 284, 4335, 326, 259, 7053, 267, 649, 7941, 676, 1269, 4335, 259, 593, 1142, 2427, 540, 519, 3830, 281, 1269, 326, 7807, 2765, 346, 22659, 276, 2410, 4335, 13157, 275, 269, 2767, 6911, 5475, 596, 3409, 606, 2626, 596, 3580, 723, 476, 2190, 3108, 547, 6494, 538, 513, 8908, 269, 1323, 9375, 786, 2689, 519, 19169, 543, 2901, 15476, 707, 19169, 610, 1683, 1109, 12890, 3724, 269, 0, 427, 375, 379, 1946, 666, 1405, 596, 7941, 676, 476, 271, 910, 1207, 660, 2354, 2593, 692, 25585, 666, 1406, 596, 7941, 676, 476, 271, 692, 3963, 2052, 1406, 1411, 19147, 1635, 476, 271, 2496, 4322, 4967, 1865, 1946, 649, 3112, 7941, 676, 476, 271, 269, 634, 2110, 2626, 568, 602, 476, 271, 814, 1100, 3818, 2364, 894, 11201, 267, 543, 1022, 3801, 547, 5581, 513, 1483, 1297, 607, 519, 3818, 2364, 894, 11201, 540, 476, 271, 1131, 1267, 538, 519, 27171, 476, 271, 815, 476, 272, 269, 2560, 25226, 6238, 676, 14322, 972, 616, 3615, 1572, 1483, 2338, 780, 3963, 666, 1406, 649, 7941, 676, 4642, 2496, 2026, 1454, 607, 649, 1131, 899, 547, 723, 606, 2626, 585, 968, 6343, 779 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18317, 1310, 7092, 689, 10770, 14331, 269, 1358, 941, 5701, 585, 2589, 267, 2943, 7189, 17792, 519, 2556, 4152, 547, 3561, 23927, 269, 2201, 11016, 267, 3967, 476, 2190, 267, 519, 3993, 13264, 883, 513, 16420, 593, 1200, 3068, 543, 8405, 543, 4682, 585, 513, 2034, 6644, 547, 519, 18317, 538, 3203, 525, 807, 269, 11088, 267, 1352, 729, 5701, 267, 2943, 1100, 4255, 547, 3313, 1200, 2157, 540, 4598, 941, 5342, 269, 1772, 713, 3246, 938, 3885, 609, 7850, 1416, 1310, 513, 21383, 286, 589, 2407, 1079, 2395, 5293, 1354, 4896, 689, 519, 4143, 1533, 8041, 4951, 909, 269, 3143, 4255, 540, 519, 13572, 3037, 610, 27983, 593, 519, 3135, 723, 1044, 5342, 269, 9453, 4255, 267, 519, 1920, 814, 1100, 1239, 593, 1018, 729, 538, 713, 3812, 834, 325, 571, 9535, 3653, 257, 1216, 543, 519, 2009, 1279, 2165, 2360, 593, 741, 1072, 267, 13184, 267, 543, 2244, 269, 634, 1920, 729, 5143, 676, 654, 303, 311, 602, 519, 13452, 729, 22247, 585, 741, 2831, 543, 602, 789, 1131, 991, 547, 581, 24428, 538, 513, 12062, 269, 1717, 267, 519, 1920, 568, 4867, 1869, 2713, 538, 741, 2777, 267, 6972, 998, 519, 13452, 563, 1607, 3003, 12558, 729, 3520, 16781, 748, 855, 711, 2189, 269, 769, 476, 1001, 277, 267, 476, 4649, 18937, 26953, 10820, 941, 2451, 593, 519, 2427, 540, 519, 4155, 950, 1776, 654, 303, 311, 9808, 1188, 14950, 1011, 10757, 538, 715, 720, 14162, 328, 267, 28679, 269, 5808, 9516, 713, 286, 8230, 5062, 20075, 523, 267, 8689, 540, 15444, 24520, 291, 24753, 910, 543, 5449, 16628, 540, 654, 303, 311, 269, 654, 303, 311, 814, 513, 2594, 607, 513, 3983, 17076, 2943, 814, 711, 4607, 835, 15163, 269, 634, 1004, 540, 1715, 6792, 666, 1448, 547, 1169, 7944, 540, 519, 1533, 543, 1397, 875, 972, 568, 1100, 9431, 11268, 610, 15163, 12588, 593, 2872, 267, 2436, 621, 568, 538, 519, 30520, 267, 1849, 990, 529, 267, 2961, 3149, 21112, 267, 17502, 528, 549, 610, 19186, 340, 20960, 4302, 269, 901, 814, 3893, 547, 1689, 269, 6496, 28679, 991, 547, 723, 513, 4961, 9290, 4547, 1996, 873, 547, 957, 888, 2005, 568, 519, 13338, 10279, 540, 9777, 2209, 547, 1416, 585, 519, 1072, 540, 938, 1004, 269, 769, 1769, 540, 2943, 1776, 9808, 9535, 12526, 538, 938, 1533, 543, 519, 1857, 1072, 6595, 1813, 2234, 1756, 543, 6757, 3114, 23927, 267, 649, 5000, 596, 547, 1780, 14130, 9291, 476, 10441, 585, 513, 9808, 9535, 2849, 1807, 1756, 547, 1450, 476, 1015, 1533, 8041, 547, 1867, 543, 1353, 519, 5222, 540, 17453, 9808, 9535, 865, 602, 649, 666, 25666, 513, 27152, 1544, 547, 10038, 713, 2872, 543, 2149, 938, 3885, 563, 8923, 1289, 610, 4757, 17135, 13198, 13568, 6182, 880, 600, 663, 22694, 2209, 454, 20779, 663, 519, 17135, 2322, 519, 17793, 9535, 5651, 1807, 1756, 9291, 630, 306, 289, 476, 10441, 264, 593, 519, 1289, 585, 713, 8400, 865, 621, 666, 581, 4862, 538, 12233, 563, 6124, 6792, 781, 2110, 476, 1789, 6377, 15424, 8400, 814, 13175, 269, 1284, 782, 991, 547, 960, 1927, 547, 1489, 4395, 1467, 543, 7087, 2950, 4299, 676, 9808, 9535, 267, 607, 1134, 607, 5885, 519, 6107, 781, 1289, 689, 7525, 2962, 593, 519, 2916, 6433, 269, 898, 568, 1271, 547, 6494, 891, 5022, 543, 1118, 519, 7125, 547, 1397, 519, 17294, 543, 9777, 2209, 1857, 1489, 585, 513, 2849, 1807, 1756, 593, 9808, 9535, 538, 1715, 6792, 269, 1284, 786, 3136, 513, 5859, 2429, 519, 1032, 2394, 513, 2849, 1807, 1756, 568, 5293, 563, 8923, 1289, 29583, 269, 18466, 548, 13198, 13568, 6182, 880, 600, 267, 630, 31746, 264, 476, 5325, 277, 268, 13136, 271, 610, 4757, 519, 17135, 2221, 256, 3557, 602, 596, 1489, 519, 9808, 9535, 3915, 590, 289, 476, 10441, 563, 16485, 519, 17135, 547, 13207, 732, 513, 8693, 17073, 454, 16485, 1200, 547, 1039, 519, 17793, 9535, 18489, 3175, 630, 306, 289, 476, 10441, 264, 547, 519, 17135, 781, 11910, 563, 4131, 1200, 917, 1946, 713, 9086, 568, 1271, 547, 596, 563, 7230, 785, 1200, 540, 519, 2640, 540, 713, 3915, 454, 289, 2590, 713, 2487, 2680, 547, 519, 3007, 540, 938, 1876, 16234, 269, 634, 5130, 476, 2641, 628, 16411, 540, 513, 834, 335, 22004, 1216, 257, 1899, 910, 1175, 476, 1911, 3952, 689, 513, 1920, 15335, 538, 2961, 3149, 21112, 910, 32514, 919, 519, 3978, 10616, 538, 513, 7745, 9431, 1062, 602, 616, 8380, 519, 1072, 543, 3106, 540, 782, 1715, 5165, 15092, 693, 1981, 269, 634, 12871, 540, 865, 10777, 834, 335, 22004, 1216, 27324, 538, 4641, 267, 519, 9808, 9535, 2872, 781, 6757, 3653, 910, 568, 2870, 513, 1857, 1072, 6595, 540, 13778, 9165, 2066, 3013, 269, 769, 476, 1001, 279, 267, 811, 982, 476, 5655, 5479, 17529, 540, 3812, 1216, 941, 2813, 538, 28679, 781, 18983, 1014, 19438, 4805, 269, 7490, 1491, 519, 942, 547, 1224, 713, 4484, 267, 1246, 519, 6402, 267, 543, 6494, 621, 593, 547, 938, 11221, 8387, 269, 1284, 666, 581, 14980, 1100, 3476, 563, 5649, 590, 289, 476, 10441, 585, 3054, 269, 590, 289, 476, 10441, 568, 23032, 676, 27737, 4165, 334, 6839, 974, 20767, 21034, 700, 2100, 345, 630, 291, 5937, 626, 269, 476, 1626, 264, 543, 27737, 4793, 878, 807, 20858, 4472, 16410, 718, 3266, 630, 291, 5937, 626, 269, 476, 1724, 1040, 1284, 991, 713, 3915, 547, 2232, 1072, 2090, 267, 1072, 20038, 543, 3106, 12983, 689, 9808, 9535, 538, 1715, 6792, 269, 0, 14722, 723, 1336, 15244, 540, 11452, 538, 21137, 5439, 3144, 689, 2066, 519, 2197, 1519, 674, 1057, 543, 4911, 639, 563, 2005, 568, 12479, 519, 2164, 540, 16894, 4152, 676, 4966, 689, 519, 13677, 5113, 10466, 10837, 630, 20225, 320, 264, 786, 1683, 3407, 1239, 547, 8128, 1282, 519, 6855, 563, 5319, 1444, 14199, 14986, 13860, 595, 7342, 5069, 1767, 281, 968, 763, 2038, 1239, 568, 2907, 3246, 938, 1857, 1072, 4966, 609, 1007, 1344, 267, 799, 1264, 906, 519, 9962, 2551, 4152, 10872, 547, 2285, 513, 811, 7347, 4605, 540, 519, 9860, 540, 13044, 2068, 538, 10430, 563, 14881, 1413, 4464, 547, 519, 10872, 3246, 2417, 267, 3407, 1239, 936, 519, 4947, 3275, 547, 1489, 938, 4339, 1996, 519, 6855, 3034, 20225, 320, 3744, 22942, 539, 15998, 540, 13044, 268, 866, 10775, 31265, 545, 3679, 630, 11748, 264, 1107, 4719, 1570, 2189, 547, 519, 3644, 1107, 538, 16894, 5439, 269, 634, 1382, 729, 5645, 856, 609, 519, 948, 540, 13677, 4826, 267, 595, 3918, 310, 630, 28495, 516, 540, 16869, 1047, 585, 27347, 264, 543, 4081, 4891, 689, 25470, 2160, 779, 14472, 4802, 4659, 543, 4173, 3999, 654, 3430, 2160, 563, 20225, 320, 3459, 519, 960, 1394, 538, 2904, 609, 519, 25380, 540, 519, 13677, 6554, 543, 5398, 2657, 10430, 630, 303, 9391, 1916, 26046, 540, 5439, 689, 2066, 10430, 814, 1631, 4857, 15244, 538, 16894, 689, 476, 1321, 1072, 4604, 2127, 563, 763, 2164, 723, 1044, 3838, 609, 623, 9391, 543, 2127, 609, 2318, 10717, 4681, 616, 5812, 609, 519, 2127, 1634, 547, 723, 9672, 13044, 268, 866, 2665, 563, 31339, 5439, 723, 1044, 3144, 689, 16894, 2126, 1568, 693, 14480, 325, 1069, 1467, 543, 2274, 1597, 17625, 538, 674, 1057, 538, 2487, 2395, 267, 607, 1134, 607, 693, 24051, 2023, 2282, 1488, 15842, 987, 563, 3725, 817, 1005, 569, 267, 519, 2622, 2657, 9257, 814, 1767, 972, 568, 4867, 1100, 2963, 602, 11452, 814, 1044, 10299, 3842, 29326, 720, 1949, 563, 20225, 320, 1767, 621, 1131, 3136, 547, 960, 609, 24243, 543, 1857, 1072, 8387, 547, 1174, 875, 713, 5464, 666, 581, 1655, 1031, 547, 1489, 10430, 779, 3210, 547, 519, 6855, 563, 763, 8116, 779, 16628, 6833, 787, 589, 685, 295, 792, 333, 1767, 281, 968, 2026, 10430, 779, 2825, 4585, 27594, 543, 607, 513, 1857, 8116, 267, 649, 2611, 10583, 547, 581, 4730, 938, 851, 538, 519, 3084, 4674, 547, 8396, 11452, 563, 2108, 5978, 3621, 7207, 543, 6791, 538, 8888, 543, 7598, 5464, 5121, 1500, 721, 23679, 14018, 547, 12419, 713, 4693, 543, 519, 2164, 649, 616, 7487, 6542, 922, 3621, 14496, 563, 2108, 23338, 547, 519, 6765, 540, 713, 1788, 814, 1044, 938, 11450, 2324, 13677, 4826, 543, 519, 2160, 540, 25470, 779, 14472, 4802, 4659, 267, 543, 649, 786, 3136, 547, 960, 5702, 1927, 547, 13217, 938, 2553, 543, 1620, 563, 14071, 4076, 4607, 1489, 689, 2066, 519, 1857, 5823, 267, 8041, 543, 5238, 1107, 1519, 513, 21856, 540, 11285, 6539, 689, 3163, 543, 31876, 585, 13677, 11982, 1107, 11744, 875, 10430, 568, 4947, 1927, 547, 1265, 2081, 540, 21365, 713, 3644, 3034, 20225, 320, 568, 849, 21528, 5177, 6554, 3621, 31548, 267, 945, 616, 3695, 875, 519, 6771, 540, 13044, 268, 866, 1223, 581, 27424, 998, 16894, 5464, 269, 0, 1103, 476, 2735, 280, 267, 7033, 12672, 619, 6441, 2465, 11827, 519, 2622, 22453, 5680, 630, 310, 310, 310, 1040, 1261, 2813, 621, 607, 513, 3059, 862, 976, 267, 799, 1797, 602, 621, 568, 513, 4199, 602, 568, 2139, 547, 3025, 1510, 8569, 269, 901, 2528, 540, 519, 862, 976, 14356, 849, 5546, 2228, 5867, 269, 6056, 540, 519, 2228, 679, 9871, 320, 4215, 9504, 1141, 13538, 1071, 268, 22056, 679, 9871, 320, 14037, 1702, 827, 519, 1158, 602, 568, 2139, 547, 782, 1510, 8569, 563, 763, 4950, 543, 519, 13431, 310, 616, 2221, 13856, 676, 3059, 16851, 1107, 602, 568, 676, 3549, 602, 1616, 547, 6133, 1945, 538, 1931, 547, 1118, 811, 543, 811, 2724, 269, 11197, 267, 9786, 267, 5616, 267, 8835, 543, 9365, 616, 519, 1158, 779, 4102, 4950, 543, 3301, 3549, 269, 1358, 723, 1044, 10404, 2213, 585, 4259, 909, 3059, 30049, 625, 267, 3423, 908, 7834, 267, 7598, 519, 2527, 13178, 540, 3755, 543, 7432, 519, 4950, 883, 513, 7706, 540, 16450, 602, 27938, 519, 1857, 12106, 563, 25748, 11062, 8890, 339, 3821, 6976, 6820, 3163, 3194, 630, 14899, 305, 264, 585, 10647, 16995, 2228, 7209, 4255, 538, 1931, 547, 3489, 2123, 9365, 1239, 540, 3592, 476, 3445, 2929, 3755, 269, 901, 1239, 729, 1031, 585, 13389, 2797, 18537, 543, 16995, 3377, 593, 9365, 538, 519, 476, 1001, 277, 772, 2529, 269, 30814, 30760, 269, 9365, 4847, 713, 1239, 21556, 547, 4755, 1317, 621, 2306, 2724, 856, 540, 2462, 1239, 8928, 593, 922, 3760, 563, 1432, 1058, 519, 4950, 1413, 899, 538, 519, 2104, 286, 1548, 2186, 540, 4950, 798, 649, 1616, 547, 723, 538, 519, 2104, 286, 1548, 1761, 568, 972, 547, 1418, 1047, 519, 4950, 607, 4244, 1062, 547, 9786, 267, 5616, 267, 8835, 543, 9365, 286, 1548, 1522, 606, 4244, 547, 9365, 267, 29243, 7343, 543, 17749, 1413, 899, 952, 621, 941, 13234, 676, 9504, 888, 2467, 616, 513, 1297, 540, 1271, 2035, 602, 948, 721, 547, 1732, 1174, 875, 519, 4950, 1568, 2221, 543, 875, 621, 1223, 1413, 538, 519, 2104, 281, 1079, 540, 873, 616, 3059, 16851, 543, 519, 3059, 862, 976, 563, 22479, 1388, 1143, 568, 513, 8789, 6240, 267, 621, 4145, 519, 993, 23035, 540, 2479, 811, 3854, 538, 519, 3946, 540, 27352, 24804, 3549, 269, 13317, 568, 2724, 602, 568, 16539, 538, 1931, 547, 1711, 21113, 602, 616, 4421, 538, 1931, 547, 6556, 513, 7443, 267, 1775, 4318, 269, 811, 2724, 982, 729, 16539, 269, 589, 20161, 568, 513, 1434, 610, 3028, 602, 568, 4421, 593, 519, 2344, 563, 19445, 16851, 568, 519, 13539, 540, 3059, 2200, 1759, 593, 519, 7954, 540, 21113, 543, 3854, 269, 14066, 30427, 14078, 20441, 519, 1158, 540, 519, 4950, 267, 1514, 2923, 267, 1239, 267, 26313, 267, 8800, 267, 3301, 267, 543, 519, 2923, 269, 1358, 6133, 3059, 21113, 281, 5616, 543, 9365, 6133, 6098, 2228, 22099, 269, 9786, 23619, 3301, 6132, 1878, 630, 20360, 3298, 267, 8433, 1040, 8835, 568, 519, 1158, 779, 4102, 2228, 6300, 602, 23619, 782, 12204, 540, 2168, 543, 30608, 5370, 269, 11197, 23619, 8800, 971, 607, 1775, 4942, 2158, 543, 5839, 20486, 563, 288, 1455, 1434, 568, 513, 1434, 602, 568, 2139, 547, 3025, 543, 2640, 3025, 267, 971, 607, 938, 4948, 1893, 269, 589, 4357, 1434, 568, 519, 6587, 540, 513, 1455, 1434, 1107, 3335, 513, 20161, 269, 2201, 519, 4950, 267, 649, 6140, 1265, 21113, 269, 1411, 798, 711, 2628, 585, 8384, 610, 14202, 532, 513, 3381, 593, 13334, 267, 10478, 593, 5616, 610, 14202, 532, 606, 3239, 547, 9365, 543, 17749, 269, 1809, 891, 2533, 946, 6098, 22099, 547, 5352, 606, 4747, 269, 1452, 616, 18537, 602, 616, 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 ]
[ 815, 476, 3583, 1535, 476, 3199, 1341, 476, 274, 1535, 476, 278, 7638, 1518, 543, 2489, 1047, 952, 2009, 780, 2162, 28081, 519, 6226, 1080, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 4692, 596, 6582, 519, 9704, 476, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 883, 1614, 476, 274, 18251, 2338, 971, 602, 741, 2698, 568, 2673, 547, 476, 5611, 271, 2496, 2162, 28688, 13174, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 303, 1157, 519, 1297, 540, 2053, 513, 3018, 602, 596, 3548, 10217, 269, 901, 1297, 1590, 581, 811, 982, 835, 855, 1447, 982, 4557, 269, 25092, 713, 1297, 676, 476, 273, 269, 5410, 476, 276, 630, 1721, 10732, 1040, 25092, 676, 476, 2004, 1862, 2052, 596, 2491, 1946, 621, 269, 1547, 1547, 16317, 2162, 18599, 5455, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 763, 1297, 476, 2767, 568, 2027, 1317, 621, 568, 1614, 2053, 519, 2040, 540, 922, 9704, 476, 2767, 815, 476, 274, 630, 273, 1341, 476, 278, 1040, 4855, 930, 1079, 7857, 2338, 602, 616, 10323, 309, 2894, 2053, 519, 2040, 540, 741, 9704, 630, 572, 1597, 5346, 2338, 21663, 0, 258, 6167, 3951, 661, 20846, 281, 31515, 910, 17948, 623, 8976, 19809, 692, 272, 1315, 476, 4029, 692, 7419, 3951, 661, 20846, 281, 31515, 269, 3848, 476, 2190, 31515, 543, 14675, 3848, 476, 1839, 8752, 543, 8838, 923, 269, 3848, 26062, 6363, 712, 281, 31515, 543, 14675, 269, 476, 2190, 269, 272, 15053, 4577, 18289, 476, 2190, 269, 273, 16544, 540, 31515, 476, 2190, 269, 274, 14675, 269, 3848, 476, 2190, 269, 273, 4804, 17644, 269, 14674, 519, 3601, 543, 2623, 540, 6329, 269, 12433, 519, 3432, 540, 6329, 780, 296, 993, 519, 8227, 267, 610, 606, 8665, 17101, 547, 957, 593, 15773, 540, 519, 8227, 267, 540, 519, 10677, 539, 960, 4330, 780, 7419, 3951, 661, 20846, 281, 31515, 692, 12606, 8889, 281, 12474, 593, 519, 19534, 568, 3177, 547, 596, 6789, 4959, 585, 707, 1344, 543, 2123, 946, 543, 949, 711, 581, 4421, 1315, 13931, 1315, 3838, 593, 824, 7270, 1510, 3478, 9844, 689, 922, 2278, 269, 4407, 23842, 267, 952, 585, 930, 2601, 596, 616, 711, 2111, 547, 4647, 513, 6881, 267, 519, 17404, 949, 723, 25216, 519, 3758, 689, 741, 7746, 780, 268, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 661, 715, 667, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 692, 2162, 6167, 3951, 661, 20846, 281, 31515, 692, 1892, 3848, 476, 2190, 31515, 543, 14675, 692, 1892, 3848, 476, 1839, 8752, 543, 8838, 923, 692, 2162, 3848, 26062, 6363, 712, 281, 31515, 543, 14675, 692, 1892, 476, 2190, 269, 272, 15053, 4577, 18289, 692, 1892, 476, 2190, 269, 273, 16544, 540, 31515, 692, 1892, 476, 2190, 269, 274, 14675, 692, 2162, 3848, 476, 2190, 269, 273, 4804, 17644, 692, 1892, 14674, 519, 3601, 543, 2623, 540, 6329, 780, 1892, 12433, 519, 3432, 540, 6329, 780, 1892, 23227, 622, 606, 1620, 540, 5951, 4205, 780, 7659, 7726, 1384, 1692, 798, 6329, 1847, 2496, 310, 2314, 538, 18289, 692, 2162, 476, 2190, 269, 273, 1548, 568, 513, 5951, 2496, 1892, 589, 5951, 568, 606, 14251, 566, 602, 12599, 689, 835, 1747, 547, 1776, 780, 1892, 1403, 596, 1093, 651, 513, 13735, 3440, 267, 621, 14251, 919, 909, 543, 1524, 780, 1892, 634, 14251, 566, 19082, 21286, 689, 1141, 621, 3323, 780, 2162, 476, 2190, 269, 273, 31515, 692, 1892, 1879, 596, 6749, 513, 3440, 883, 1216, 267, 930, 540, 519, 1216, 568, 14593, 11735, 543, 6659, 676, 519, 3440, 780, 2162, 476, 2190, 269, 273, 20668, 540, 513, 5951, 692, 1892, 1411, 666, 1589, 540, 513, 5951, 607, 513, 3001, 3126, 540, 1164, 2798, 543, 1970, 2798, 780, 1892, 589, 30160, 529, 519, 1164, 1448, 540, 519, 5951, 780, 1892, 589, 512, 893, 529, 519, 1970, 1448, 780, 2162, 476, 2190, 269, 273, 20668, 540, 513, 5951, 692, 1892, 634, 4908, 1993, 513, 5951, 568, 519, 2557, 693, 799, 1169, 1448, 593, 519, 5951, 7575, 909, 543, 1524, 780, 1892, 22039, 1797, 968, 6011, 1419, 892, 780, 2162, 476, 2190, 269, 273, 20668, 540, 513, 5951, 692, 1892, 634, 17931, 540, 513, 1216, 5951, 568, 519, 5021, 4463, 519, 5951, 14380, 1657, 519, 1377, 2627, 780, 2162, 476, 2190, 269, 273, 20668, 540, 513, 5951, 692, 1892, 20613, 767, 2654, 568, 519, 3845, 689, 1022, 1448, 593, 513, 5951, 547, 519, 1482, 1448, 593, 519, 1985, 4783, 540, 519, 5951, 780, 1892, 634, 3845, 1063, 835, 30160, 543, 519, 1985, 30160, 568, 513, 15423, 780, 2162, 476, 2190, 269, 273, 634, 3432, 540, 6329, 692, 1892, 589, 5951, 7575, 835, 15423, 538, 1142, 4783, 780, 1892, 4595, 513, 4783, 3217, 835, 1974, 267, 519, 3432, 540, 519, 5951, 568, 519, 15423, 5258, 676, 519, 1974, 780, 2162, 476, 2190, 269, 273, 634, 3432, 540, 6329, 692, 1892, 634, 3432, 540, 513, 1216, 5951, 568, 875, 3728, 519, 5951, 19082, 267, 10691, 875, 3728, 519, 1216, 2627, 7575, 909, 543, 1524, 610, 875, 3728, 519, 12628, 3440, 7575, 538, 519, 1216, 780, 1692, 798, 649, 2268, 519, 5951, 3432, 2496, 2162, 476, 2190, 269, 273, 634, 3432, 540, 6329, 692, 1892, 634, 3432, 568, 519, 3845, 14612, 630, 821, 15423, 264, 5258, 676, 519, 942, 621, 3217, 630, 821, 1974, 6393, 1892, 1284, 2356, 5173, 519, 3432, 540, 513, 5951, 676, 14921, 15423, 676, 4908, 780, 2162, 14572, 10819, 692, 763, 15423, 540, 513, 5951, 593, 513, 5569, 568, 476, 272, 11281, 543, 922, 3432, 568, 476, 276, 544, 4882, 780, 24280, 519, 4908, 543, 519, 1974, 540, 519, 5951, 780, 2162, 14572, 10819, 692, 1892, 18391, 585, 1384, 1892, 2560, 325, 15968, 538, 1200, 16379, 692, 1892, 2560, 704, 1675, 538, 7643, 692, 1892, 9717, 692, 1892, 2560, 22933, 361, 815, 476, 272, 544, 282, 521, 815, 476, 276, 544, 4882, 692, 1892, 17716, 1384, 1892, 521, 815, 535, 1535, 19569, 361, 610, 535, 815, 521, 21680, 19569, 361, 692, 1892, 535, 815, 476, 272, 20081, 528, 570, 815, 476, 272, 11721, 692, 1892, 8827, 692, 1892, 535, 815, 476, 276, 544, 4882, 21680, 272, 544, 815, 476, 276, 9979, 4882, 692, 1892, 570, 815, 476, 272, 270, 276, 9979, 4882, 815, 1547, 273, 521, 692, 1892, 535, 815, 476, 276, 21636, 692, 1892, 570, 815, 1547, 273, 521, 692, 2162, 476, 2190, 269, 273, 9050, 5951, 4205, 692, 1892, 1879, 513, 5951, 13341, 513, 2627, 267, 2185, 4205, 666, 2049, 1384, 1892, 8086, 10484, 1892, 1201, 3555, 10484, 1892, 32250, 267, 610, 692, 1892, 10338, 780, 2162, 476, 2190, 269, 273, 23027, 4205, 692, 1892, 5262, 3555, 2356, 2242, 519, 4287, 543, 3337, 540, 519, 5951, 780, 1892, 1879, 513, 7077, 5951, 10596, 998, 513, 1507, 8559, 32250, 7140, 621, 883, 513, 9764, 5951, 780, 2162, 476, 2190, 269, 273, 3690, 2091, 543, 19976, 6329, 692, 1892, 589, 5951, 13942, 529, 513, 2110, 2048, 10767, 560, 685, 540, 513, 10707, 5951, 780, 1892, 898, 568, 3006, 4443, 547, 1294, 519, 5163, 540, 5951, 20512, 982, 621, 568, 547, 1294, 1279, 6329, 609, 1082, 14251, 725, 780, 2162, 476, 2190, 269, 273, 3690, 2091, 6329, 692, 1892, 634, 14251, 725, 540, 513, 29529, 5951, 616, 711, 538, 519, 4287, 519, 5951, 7575, 780, 2162, 476, 2190, 269, 273, 7043, 15994, 6329, 692, 1892, 634, 14251, 725, 540, 513, 19976, 24859, 616, 538, 519, 1482, 4287, 602, 519, 5951, 7575, 780, 2162, 476, 2190, 269, 273, 4790, 10614, 13779, 692, 1892, 4790, 10614, 13779, 4523, 950, 6329, 1039, 909, 547, 1118, 513, 3677, 17931, 780, 1892, 14597, 596, 1118, 1079, 5951, 20512, 593, 513, 21401, 5569, 780, 1892, 2290, 2501, 689, 519, 2451, 543, 519, 824, 2501, 689, 519, 1318, 780, 1892, 1879, 519, 6329, 2743, 267, 789, 9192, 547, 1118, 513, 2582, 1804, 13942, 780, 2162, 476, 2190, 269, 273, 20121, 10614, 13779, 692, 1892, 1548, 4523, 950, 835, 13942, 568, 593, 1283, 540, 519, 5569, 543, 519, 824, 568, 593, 519, 5377, 2496, 1892, 1879, 519, 20512, 2743, 538, 519, 1647, 267, 789, 22599, 1142, 824, 856, 780, 1892, 4438, 16160, 13779, 267, 6329, 1039, 909, 547, 1118, 513, 5951, 609, 4130, 610, 4642, 17931, 269, 0, 258, 15531, 30352, 547, 3687, 4476, 513, 26228, 540, 13038, 12793, 692, 296, 1616, 547, 1265, 519, 6724, 3230, 320, 2330, 30967, 272, 270, 273, 543, 3230, 321, 2330, 30967, 271, 971, 602, 519, 5021, 540, 3252, 3230, 325, 318, 272, 18079, 3230, 325, 318, 273, 18079, 3230, 325, 318, 274, 18079, 543, 3230, 325, 318, 275, 2330, 3587, 31965, 267, 1775, 4318, 1421, 594, 993, 3168, 585, 3230, 2381, 32384, 6600, 318, 272, 267, 535, 318, 273, 267, 535, 318, 274, 267, 535, 318, 275, 4297, 2330, 1384, 2330, 325, 318, 272, 5416, 264, 815, 476, 272, 269, 276, 10954, 2765, 346, 275, 320, 317, 273, 268, 275, 320, 266, 272, 2410, 277, 268, 275, 320, 15732, 2330, 325, 318, 273, 6357, 264, 815, 476, 272, 269, 866, 10954, 2765, 15830, 2410, 272, 17070, 15732, 2330, 325, 318, 274, 5416, 267, 536, 264, 815, 476, 272, 10954, 2765, 346, 272, 2410, 272, 17070, 23180, 2765, 346, 275, 266, 280, 320, 317, 273, 268, 1321, 320, 2410, 274, 266, 280, 320, 15732, 2330, 325, 318, 275, 6357, 264, 815, 1422, 2765, 346, 276, 2410, 1321, 23180, 2765, 346, 273, 2410, 272, 17070, 15732, 1432, 781, 519, 1655, 1259, 547, 798, 865, 2496, 1892, 670, 842, 281, 1265, 543, 2328, 1524, 519, 5021, 1871, 1142, 1599, 666, 1491, 269, 1411, 666, 4734, 621, 538, 2474, 540, 513, 543, 536, 269, 1290, 7757, 7325, 476, 1321, 267, 476, 1001, 280, 693, 476, 274, 281, 1015, 454, 1892, 1215, 666, 621, 948, 286, 594, 2907, 917, 602, 281, 1269, 10946, 6600, 318, 272, 264, 2999, 476, 272, 269, 7871, 259, 630, 3602, 1269, 320, 284, 273, 270, 274, 259, 1070, 1269, 10946, 6600, 318, 273, 264, 2999, 476, 272, 269, 7597, 259, 630, 3602, 1269, 321, 284, 272, 259, 1070, 1269, 10946, 6600, 318, 274, 264, 2999, 476, 273, 269, 6734, 259, 630, 3602, 1269, 320, 284, 272, 270, 273, 259, 543, 1269, 321, 284, 271, 259, 1070, 543, 1269, 10946, 6600, 318, 275, 264, 2999, 476, 273, 269, 5655, 259, 630, 3602, 1269, 321, 284, 271, 30879, 1290, 7757, 7325, 476, 1321, 267, 476, 1001, 280, 693, 476, 274, 281, 736, 454, 1892, 594, 1294, 269, 2334, 4667, 2953, 269, 769, 602, 2013, 267, 972, 781, 1152, 835, 5021, 585, 1142, 1599, 1269, 325, 272, 267, 535, 273, 267, 535, 275, 10608, 634, 1152, 1599, 1141, 596, 666, 4188, 6724, 568, 1269, 325, 318, 274, 10608, 1290, 7757, 7325, 476, 1321, 267, 476, 1001, 280, 693, 476, 274, 281, 3451, 454, 1892, 590, 13446, 267, 594, 1589, 594, 31495, 2181, 1540, 519, 2243, 269, 634, 1101, 2626, 2630, 4667, 547, 581, 1318, 269, 1290, 7757, 7325, 476, 1321, 267, 476, 1001, 280, 693, 476, 1704, 281, 736, 454, 1892, 7711, 5271, 30658, 1122, 323, 9282, 972, 568, 930, 1498, 3297, 1250, 2626, 267, 594, 1131, 2965, 581, 5461, 547, 917, 952, 972, 568, 930, 811, 2489, 5650, 547, 10994, 713, 2186, 540, 2243, 269, 1290, 7757, 7325, 476, 1321, 267, 476, 1001, 280, 693, 476, 2641, 281, 2190, 692, 30860, 602, 3230, 325, 318, 273, 2330, 568, 2810, 543, 543, 3230, 325, 318, 275, 2330, 568, 13302, 269, 2311, 3230, 321, 318, 271, 815, 476, 10844, 270, 15836, 1422, 13627, 476, 271, 269, 7597, 272, 278, 3066, 2330, 649, 723, 3230, 325, 318, 273, 6357, 318, 271, 264, 815, 535, 318, 275, 6357, 318, 271, 14638, 269, 2913, 3230, 341, 815, 535, 318, 273, 6357, 318, 271, 14638, 543, 7747, 602, 3230, 341, 815, 476, 16960, 280, 270, 12010, 1422, 13627, 476, 272, 269, 6795, 279, 8660, 2330, 563, 2005, 5205, 602, 6695, 10946, 6600, 318, 272, 267, 535, 318, 273, 267, 325, 318, 274, 267, 535, 318, 275, 9385, 28254, 16435, 656, 1422, 10946, 6600, 318, 273, 267, 325, 318, 275, 264, 1422, 28254, 16435, 656, 642, 21974, 634, 1655, 649, 666, 4126, 585, 938, 5934, 568, 8754, 3230, 341 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 20173, 267, 513, 476, 1708, 272, 13849, 20400, 1705, 711, 6542, 606, 7681, 1063, 20173, 543, 717, 7563, 9860, 3066, 269, 901, 15739, 32735, 1063, 11841, 543, 9860, 538, 519, 13849, 20400, 4440, 9356, 519, 3448, 533, 14072, 640, 540, 9860, 2090, 563, 8469, 1756, 6077, 21729, 1529, 4345, 454, 28139, 6621, 4345, 12162, 6242, 568, 513, 11528, 27394, 8527, 1944, 21729, 1529, 4345, 602, 15866, 5540, 5420, 13355, 16757, 16209, 274, 269, 22031, 22807, 645, 3644, 630, 295, 29669, 264, 568, 513, 1134, 29627, 1758, 1242, 9594, 3968, 585, 4874, 6621, 4345, 12162, 6242, 267, 543, 670, 29669, 23938, 4874, 6621, 4345, 12162, 6242, 568, 1631, 9286, 607, 513, 5094, 2068, 269, 2060, 519, 4367, 540, 7839, 12674, 1996, 670, 29669, 267, 972, 814, 1044, 513, 5786, 538, 519, 8167, 540, 2550, 609, 4874, 6621, 4345, 12162, 6242, 945, 616, 7783, 609, 670, 29669, 6795, 269, 12443, 6621, 4345, 12162, 6242, 568, 6059, 547, 723, 606, 5993, 11841, 2557, 540, 476, 271, 269, 280, 1700, 279, 269, 271, 829, 2929, 538, 3864, 2477, 2568, 267, 8618, 267, 543, 513, 9860, 540, 476, 4029, 829, 2929, 6795, 267, 7830, 269, 12443, 6621, 4345, 12162, 6242, 666, 1860, 2550, 540, 782, 6803, 885, 267, 3335, 4386, 538, 2550, 9907, 476, 2412, 1700, 2568, 1296, 543, 267, 7429, 1034, 824, 2010, 540, 21729, 1529, 4345, 267, 814, 513, 5256, 3341, 16093, 766, 630, 332, 1446, 3562, 1922, 24580, 5223, 540, 476, 272, 269, 276, 281, 272, 264, 6795, 269, 769, 1840, 267, 4874, 6621, 4345, 12162, 6242, 666, 2049, 538, 7681, 609, 22686, 11335, 8611, 8287, 563, 298, 1177, 30245, 2068, 15320, 538, 1271, 2081, 689, 519, 824, 3029, 540, 21729, 1529, 4345, 4988, 538, 713, 5623, 269, 918, 1177, 30245, 2068, 3592, 14311, 5540, 1453, 630, 5952, 260, 540, 4299, 2550, 616, 896, 519, 2085, 540, 476, 276, 1296, 5038, 1070, 543, 519, 21729, 1529, 4345, 568, 1582, 29438, 1243, 267, 609, 782, 2550, 3100, 532, 547, 4625, 9156, 269, 6271, 3017, 568, 602, 519, 11528, 6553, 1282, 519, 8650, 5123, 540, 519, 4576, 568, 711, 16876, 547, 519, 27555, 3774, 855, 849, 5540, 519, 26961, 1756, 282, 26961, 4345, 676, 1277, 1670, 7355, 568, 513, 8471, 4466, 1282, 8650, 4576, 4792, 267, 5780, 269, 5463, 3547, 2663, 267, 1313, 641, 1910, 2090, 540, 2550, 609, 9649, 31729, 916, 945, 1185, 5892, 1185, 918, 1177, 30245, 2068, 1397, 27556, 267, 28043, 27470, 3564, 519, 11182, 13859, 676, 519, 4299, 16209, 6858, 267, 6924, 269, 634, 6090, 529, 540, 713, 27470, 568, 7334, 855, 621, 1223, 581, 519, 1267, 540, 1016, 30570, 267, 1159, 746, 1359, 2890, 341, 6018, 6553, 610, 540, 5312, 26961, 658, 6553, 269, 6271, 2189, 4183, 540, 918, 1177, 30245, 2068, 568, 922, 11944, 607, 513, 1007, 2783, 538, 5607, 1310, 2622, 2782, 4083, 7597, 267, 3583, 269, 634, 6228, 540, 918, 1177, 30245, 2068, 538, 3345, 3013, 538, 519, 13524, 543, 2038, 14206, 5553, 607, 513, 4686, 267, 25144, 14603, 2783, 1572, 10867, 850, 4874, 6621, 4345, 12162, 6242, 568, 6462, 676, 6476, 540, 1313, 3591, 625, 540, 2550, 609, 10867, 850, 4874, 6621, 4345, 12162, 6242, 543, 1346, 609, 918, 1177, 30245, 2068, 10170, 563, 763, 27496, 540, 918, 1177, 30245, 2068, 568, 606, 791, 13440, 1047, 2257, 607, 972, 568, 1100, 1808, 10368, 1449, 585, 519, 2783, 269, 918, 1177, 30245, 2068, 568, 8995, 593, 519, 4493, 540, 4791, 7355, 13745, 609, 8047, 2963, 540, 8650, 6553, 609, 610, 1510, 546, 7976, 540, 519, 18337, 16209, 676, 17464, 560, 1817, 25714, 20192, 18201, 25086, 269, 5606, 1218, 543, 1453, 1459, 609, 8611, 543, 11940, 665, 583, 10389, 19183, 1519, 31792, 2526, 13297, 267, 16420, 267, 22980, 29442, 320, 540, 519, 5711, 11940, 6242, 543, 2357, 332, 11669, 8473, 267, 17818, 9726, 23565, 14527, 543, 11926, 540, 519, 21053, 320, 540, 519, 3946, 543, 3952, 7761, 269, 9453, 2126, 267, 476, 1839, 260, 540, 1453, 786, 1020, 18337, 16050, 31729, 916, 602, 666, 1291, 547, 24405, 2670, 267, 26961, 658, 1102, 541, 794, 267, 2295, 5821, 610, 2669, 10463, 269, 9615, 609, 32326, 6375, 15644, 6081, 607, 606, 6375, 558, 617, 17419, 8665, 6971, 519, 11841, 540, 31729, 916, 547, 476, 274, 1700, 276, 260, 10619, 563, 298, 1177, 30245, 2068, 814, 1044, 4080, 538, 811, 982, 476, 2568, 4525, 17364, 2947, 17407, 4037, 269, 634, 27496, 540, 918, 1177, 30245, 2068, 814, 1044, 1034, 5693, 3989, 585, 3567, 267, 519, 4087, 609, 519, 5207, 1634, 11841, 538, 519, 1158, 267, 1141, 18102, 12220, 540, 10506, 609, 693, 2547, 476, 1911, 15135, 723, 1044, 5342, 1169, 476, 273, 1296, 2094, 476, 3192, 271, 630, 10915, 269, 10602, 1040, 13780, 4204, 8623, 12515, 540, 918, 1177, 30245, 2068, 538, 3567, 538, 476, 3192, 280, 267, 476, 2735, 273, 543, 476, 2735, 277, 941, 4553, 676, 20406, 2810, 2338, 540, 2665, 267, 3056, 547, 519, 1699, 11841, 2557, 540, 476, 3374, 280, 829, 476, 1911, 267, 1822, 1453, 2999, 276, 1296, 540, 2085, 269, 4340, 547, 519, 5767, 9193, 689, 3567, 267, 5111, 476, 272, 538, 1169, 476, 5038, 8695, 543, 476, 272, 538, 1169, 476, 3199, 6690, 786, 1020, 918, 1177, 30245, 2068, 1282, 519, 1101, 476, 1015, 1296, 540, 741, 1272, 6507, 269, 589, 4719, 32739, 547, 918, 1177, 30245, 2068, 568, 6462, 676, 922, 12136, 538, 1101, 24266, 14077, 540, 2550, 609, 519, 2068, 267, 519, 2799, 11841, 540, 918, 1177, 30245, 2068, 538, 1453, 540, 7489, 16350, 2713, 3544, 540, 5607, 267, 543, 519, 6602, 540, 4719, 14726, 602, 3310, 18687, 4281, 269, 634, 11841, 540, 918, 1177, 30245, 2068, 568, 1164, 2429, 29036, 5607, 267, 609, 11841, 3928, 829, 476, 1911, 267, 1822, 1453, 2999, 276, 1296, 540, 476, 4198, 538, 3162, 9705, 543, 476, 2568, 538, 15990, 8064, 267, 3199, 630, 8993, 269, 476, 273, 267, 4675, 11915, 7305, 476, 273, 1040, 5637, 540, 891, 4525, 723, 3084, 1072, 1949, 543, 18487, 12240, 602, 11863, 4977, 9477, 540, 2068, 11841, 269, 769, 824, 2694, 540, 5607, 267, 519, 3668, 540, 4977, 2551, 7194, 543, 513, 21438, 6538, 814, 8507, 538, 10462, 3823, 519, 11841, 540, 918, 1177, 30245, 2068, 269, 1280, 1383, 267, 538, 3127, 543, 3624, 267, 519, 1079, 1034, 29245, 4525, 540, 519, 1158, 267, 972, 568, 1100, 21438, 4015, 540, 1239, 547, 5351, 538, 2068, 27496, 269, 634, 27496, 540, 918, 1177, 30245, 2068, 538, 3624, 543, 3127, 814, 1044, 4628, 12649, 11992, 10037, 269, 16684, 569, 267, 18102, 2861, 2090, 689, 19864, 543, 29258, 723, 4080, 11841, 3928, 540, 476, 5379, 269, 274, 1700, 4649, 269, 272, 829, 476, 1911, 267, 1822, 1453, 9907, 2999, 276, 1296, 269, 634, 11944, 540, 918, 1177, 30245, 2068, 538, 3127, 568, 2219, 547, 581, 513, 2487, 12136, 543, 2013, 2338, 723, 1044, 20406, 8375, 267, 4352, 972, 568, 513, 7521, 607, 547, 2436, 713, 568, 1813, 547, 2799, 2013, 23754, 618, 610, 513, 3020, 8375, 11841, 11025, 269, 16842, 6284, 540, 918, 1177, 30245, 2068, 1522, 849, 581, 1813, 547, 513, 5786, 538, 6669, 1790, 516, 1203, 762, 3676, 602, 8915, 609, 16420, 543, 8611, 267, 543, 799, 666, 17932, 519, 4791, 2934, 540, 918, 1177, 30245, 2068, 10695, 269, 8307, 6237, 11841, 3928, 616, 2139, 585, 3127, 269, 769, 25941, 580, 541, 327, 538, 7187, 3127, 267, 11841, 3928, 689, 476, 1220, 280, 1700, 1001, 275, 723, 9867, 1063, 476, 272, 829, 476, 1911, 267, 1822, 543, 476, 280, 829, 476, 1911, 267, 1822, 1453, 9907, 2999, 276, 1296, 10019, 563, 28158, 543, 3345, 1977, 6753, 609, 3084, 1072, 2533, 543, 21438, 1239, 4015, 723, 4080, 11841, 3928, 829, 476, 1911, 267, 1822, 538, 1453, 9907, 2999, 276, 1296, 602, 2039, 689, 476, 866, 269, 277, 538, 4516, 547, 476, 275, 269, 276, 1700, 280, 269, 271, 538, 519, 5177, 543, 1034, 540, 2342, 5952, 267, 10436, 267, 9262, 267, 6434, 269, 8899, 3928, 723, 849, 1044, 4080, 538, 18940, 267, 13785, 543, 16157, 630, 1556, 269, 275, 267, 476, 276, 269, 275, 543, 476, 278, 269, 275, 829, 476, 1911, 267, 1822, 1453, 9907, 2999, 276, 1296, 267, 6606, 264, 8660, 269, 769, 519, 7330, 267, 11889, 12240, 723, 1044, 1031, 547, 7447, 519, 11411, 540, 2068, 269, 4635, 971, 12240, 267, 6059, 11841, 3928, 585, 918, 1177, 30245, 2068, 616, 5111, 476, 736, 829, 476, 1911, 267, 1822, 1453, 9907, 2999, 276, 1296, 3445, 269, 18370, 8826, 16917, 8344, 7634, 936, 513, 476, 1015, 4458, 1974, 689, 513, 3148, 538, 7013, 4993, 609, 513, 1804, 17104, 2551, 7000, 11841, 3928, 829, 476, 1911, 267, 1822, 1453, 9907, 2999, 276, 1296, 540, 476, 1691, 269, 280, 267, 476, 736, 543, 476, 2004, 585, 1453, 540, 3864, 267, 17104, 543, 7489, 610, 7414, 29474, 16350, 267, 6606, 5038, 563, 4504, 3419, 5224, 3344, 540, 918, 1177, 30245, 2068, 27496, 1331, 519, 3982, 2518, 4005, 1275, 267, 609, 19589, 538, 5162, 267, 5614, 543, 4571, 1606, 28026, 267, 543, 519, 13796, 543, 8901, 24159, 540, 2665, 11011, 267, 10844, 267, 11152, 267, 11463, 269, 3143, 2963, 6818, 547, 1489, 1268, 3562, 16512, 6771, 540, 918, 1177, 30245, 2068, 267, 543, 4791, 2934, 267, 1519, 17818, 9726, 23565, 14527, 267, 11876, 1513, 8864, 543, 1427, 5268, 31099, 522, 539, 9047, 267, 782, 2303, 513, 7929, 1448, 540, 7127, 4817, 267, 9834, 267, 9032, 269, 15783, 10881, 547, 519, 513, 564, 5735, 540, 918, 1177, 30245, 2068, 666, 581, 29742, 539, 689, 519, 2079, 540, 13796, 13421, 602, 2671, 3982, 4791, 543, 8047, 2934, 269, 634, 6228, 540, 891, 1016, 1790, 1156, 8040, 5267, 602, 918, 1177, 30245, 2068, 1522, 581, 15427, 676, 3309, 8069, 602, 1142, 6556, 13581, 7648, 538, 4791, 6881, 7176, 269, 589, 9670, 8343, 689, 519, 2250, 1032, 568, 519, 1804, 6175, 538, 519, 11841, 540, 918, 1177, 30245, 2068, 538, 3567, 543, 519, 7330, 1282, 519, 16568, 17336, 268, 273, 6855, 267, 799, 7028, 519, 8367, 602, 918, 1177, 30245, 2068, 568, 15427, 676, 31067, 20851, 11169, 602, 666, 581, 17808, 610, 4389, 676, 519, 946, 540, 11132, 9633, 532, 4200, 267, 1911, 269, 634, 7872, 540, 1279, 24365, 3560, 540, 20851, 11169, 5532, 547, 15088, 538, 918, 1177, 30245, 2068, 11841, 814, 1044, 6594, 538, 1312, 8832, 543, 8828, 12920, 7371, 12742, 11152, 267, 6200, 267, 9083, 269, 27321, 10009, 3270, 723, 1044, 4080, 602, 3095, 12798, 689, 27040, 3624, 609, 15088, 538, 11841, 3928, 540, 918, 1177, 30245, 2068, 538, 3567, 543, 12798, 689, 519, 2311, 659, 4821, 19164, 609, 918, 1177, 30245, 2068, 11841, 538, 7013, 16266, 9083, 267, 9818, 269, 2311, 2547, 538, 29036, 5607, 267, 4598, 547, 519, 1757, 894, 8069, 540, 918, 1177, 30245, 2068, 5170, 547, 2333, 543, 2013, 2338, 3136, 547, 20406, 18214, 10441, 563, 22102, 6077, 21729, 1529, 4345, 454, 8150, 309, 568, 513, 1895, 540, 1614, 2175, 15866, 7133, 1507, 8043, 267, 519, 1292, 2010, 1373, 11491, 592, 25959, 2670, 609, 4874, 30231, 4345, 630, 294, 5183, 1070, 18784, 4874, 30231, 4345, 630, 300, 5183, 264, 543, 552, 28009, 30858, 11491, 592, 25959, 2670, 609, 4874, 30231, 4345, 630, 9680, 5183, 264, 274, 630, 8368, 476, 272, 1040, 634, 11841, 540, 589, 16787, 814, 2799, 1282, 519, 2250, 476, 2412, 1296, 269, 634, 5916, 11841, 2557, 585, 717, 5183, 267, 631, 5183, 543, 661, 294, 5183, 689, 16157, 630, 1960, 280, 1700, 1001, 274, 264, 543, 519, 7330, 630, 1960, 277, 1700, 1001, 276, 264, 729, 1472, 476, 2190, 269, 278, 829, 2929, 538, 16157, 10755, 543, 476, 3451, 269, 271, 829, 2929, 538, 519, 7330, 11793, 267, 3379, 609, 513, 2557, 540, 1152, 476, 272, 269, 276, 829, 2929, 585, 717, 5183, 4805, 538, 519, 5177, 538, 519, 476, 2735, 271, 338, 13040, 269, 7612, 476, 274, 543, 4675, 11915, 7305, 476, 274, 17412, 519, 11841, 3928, 540, 589, 16787, 1472, 519, 8608, 2094, 476, 1220, 271, 269, 634, 2799, 4080, 11841, 568, 30289, 547, 4824, 2013, 6284, 1739, 519, 7839, 4367, 540, 4888, 7563, 4152, 538, 519, 476, 1960, 271, 338, 543, 519, 3498, 540, 7833, 267, 23344, 20541, 267, 8760, 7355, 269, 634, 7839, 10073, 540, 519, 476, 1960, 275, 30989, 10830, 3117, 7185, 8847, 585, 21729, 1529, 4345, 8507, 538, 519, 6284, 540, 631, 5183, 607, 606, 11769, 3982, 689, 4874, 6621, 4345, 12162, 6242, 277, 269, 2060, 519, 17019, 20541, 687, 540, 519, 8028, 305, 543, 30989, 10830, 3117, 7185, 7355 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1765, 13069, 877, 835, 540, 519, 1034, 1271, 2645, 538, 4915, 281, 634, 1101, 968, 9404, 677, 531, 892, 1480, 2281, 6738, 538, 2528, 267, 799, 616, 1869, 9800, 2221, 267, 1498, 1352, 814, 1044, 4666, 585, 811, 982, 24239, 1296, 269, 1261, 17442, 2281, 941, 4105, 585, 3384, 519, 29887, 6669, 282, 20114, 11580, 540, 2860, 267, 8290, 267, 543, 519, 11046, 10514, 779, 2360, 282, 5280, 1291, 547, 1271, 8441, 899, 538, 20117, 22289, 267, 28295, 267, 543, 5444, 11837, 282, 543, 723, 1044, 11751, 543, 4421, 676, 519, 17542, 563, 21953, 28741, 24297, 700, 2931, 3788, 12303, 7164, 267, 12617, 538, 606, 796, 5658, 539, 18205, 563, 3963, 5749, 1406, 2451, 11804, 619, 17255, 888, 1432, 2306, 513, 22774, 5180, 888, 1692, 568, 513, 18558, 1547, 1547, 1547, 899, 513, 28764, 888, 4322, 949, 711, 1413, 899, 2979, 2055, 267, 855, 789, 616, 1765, 20357, 789, 782, 723, 547, 798, 609, 3270, 269, 1656, 6128, 267, 693, 2295, 267, 568, 519, 1353, 540, 3270, 563, 6546, 20185, 4957, 3798, 23135, 654, 5622, 779, 1272, 1765, 2421, 7432, 519, 968, 323, 787, 892, 1641, 646, 23487, 539, 538, 1164, 1153, 883, 513, 3808, 1652, 1391, 585, 6602, 269, 3767, 606, 8366, 20421, 2979, 4116, 267, 654, 5622, 12034, 3270, 10876, 281, 538, 519, 968, 1962, 534, 2583, 892, 540, 1973, 8043, 543, 17500, 267, 538, 519, 2208, 540, 513, 9806, 2272, 543, 513, 30011, 267, 1256, 538, 1010, 6640, 7484, 540, 7401, 2336, 2080, 616, 8938, 29350, 11116, 20695, 11271, 593, 519, 6456, 6310, 2261, 12069, 602, 17278, 938, 4757, 267, 17134, 656, 938, 12823, 267, 543, 1256, 1832, 721, 9800, 31539, 519, 20534, 6329, 649, 5873, 607, 968, 16443, 545, 892, 547, 519, 12357, 11344, 5223, 563, 1607, 1433, 786, 1689, 707, 2247, 827, 1018, 2979, 666, 581, 269, 1284, 616, 782, 4535, 22697, 11652, 898, 779, 513, 7089, 995, 2622, 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 ]
[ 3105, 2409, 602, 3812, 1175, 476, 2568, 829, 1298, 3077, 2281, 269, 634, 1007, 2281, 941, 1447, 2693, 547, 3132, 13311, 30219, 543, 3366, 547, 7378, 13297, 6954, 7280, 1852, 538, 3368, 519, 942, 950, 1098, 680, 5896, 883, 8983, 563, 763, 3173, 2303, 713, 10930, 543, 811, 6325, 1259, 547, 1332, 7378, 26148, 2281, 689, 513, 3461, 779, 1378, 1973, 1223, 5555, 1450, 1098, 17852, 1510, 519, 991, 585, 4550, 3146, 20287, 5061, 563, 14071, 1616, 547, 5372, 519, 991, 585, 7378, 24409, 609, 2281, 602, 3132, 519, 1482, 9449, 2443, 7378, 2443, 602, 786, 10038, 1973, 4006, 538, 513, 3501, 6073, 2223, 3081, 6276, 1744, 777, 10098, 267, 4516, 3194, 17348, 538, 3690, 8690, 17889, 543, 3204, 17654, 6925, 267, 7548, 540, 4915, 543, 10551, 593, 19223, 267, 543, 2212, 540, 519, 3798, 3000, 2023, 16257, 267, 799, 814, 4847, 476, 16020, 13003, 725, 540, 24603, 568, 2280, 2281, 2094, 621, 729, 1101, 2919, 476, 2641, 1296, 3516, 563, 13434, 760, 1801, 540, 24603, 2281, 1590, 1491, 4550, 3146, 20287, 5061, 585, 1272, 267, 543, 519, 3797, 568, 3908, 676, 519, 1507, 1297, 540, 24603, 8219, 2139, 563, 14071, 991, 513, 6565, 1591, 3070, 602, 2488, 513, 5732, 3970, 1652, 2707, 540, 2281, 2223, 3081, 1744, 777, 10098, 267, 968, 663, 649, 991, 513, 1259, 547, 1118, 1346, 2281, 865, 602, 789, 666, 1406, 581, 2938, 543, 6444, 607, 4914, 676, 519, 1560, 779, 4761, 1062, 3034, 763, 3173, 1491, 6565, 2281, 689, 513, 2582, 3461, 779, 1973, 543, 26947, 2842, 873, 1394, 538, 942, 267, 1287, 4464, 1586, 538, 513, 1184, 1572, 968, 323, 20526, 15285, 2223, 547, 5555, 1831, 7378, 26148, 2281, 563, 10527, 2281, 1031, 585, 713, 1382, 941, 25524, 28738, 6002, 267, 2281, 602, 666, 581, 2417, 21630, 538, 519, 2978, 547, 5352, 2281, 602, 5305, 7378, 2223, 3081, 715, 699, 320, 19923, 652, 320, 8566, 727, 345, 267, 513, 2022, 4777, 28118, 8284, 609, 519, 11916, 1772, 2280, 3690, 8690, 5358, 267, 799, 1744, 777, 10098, 1463, 338, 269, 968, 9961, 1346, 1985, 3268, 540, 15285, 267, 649, 3494, 602, 649, 786, 581, 2111, 547, 9004, 602, 2947, 547, 476, 1015, 829, 1298, 540, 2281, 602, 1705, 711, 1267, 538, 25524, 2281, 3034, 32381, 540, 2436, 519, 2281, 20705, 547, 513, 3461, 609, 7392, 476, 272, 610, 7392, 476, 273, 3987, 267, 610, 2576, 945, 814, 10551, 3987, 1813, 547, 8851, 540, 519, 18558, 267, 782, 519, 2281, 941, 2111, 547, 9258, 3987, 267, 19923, 652, 320, 8566, 727, 345, 4967, 563, 4537, 777, 10098, 1309, 1903, 602, 2417, 3106, 543, 12117, 2090, 786, 991, 547, 581, 5645, 856, 593, 519, 1505, 1354, 24328, 540, 6565, 16052, 23402, 568, 2280, 2281, 568, 4712, 585, 1480, 8062, 267, 855, 646, 568, 9599, 676, 519, 3356, 563, 18658, 649, 2461, 3843, 547, 798, 1934, 568, 9263, 936, 519, 16880, 543, 2119, 547, 4952, 1018, 3987, 1416, 568, 2469, 547, 1413, 899, 476, 1428, 267, 476, 736, 267, 476, 1789, 1296, 689, 1631, 2223, 646, 3081, 269, 968, 296, 1810, 1406, 1589, 1004, 786, 581, 7630, 532, 7378, 15042, 269, 594, 1810, 1406, 1589, 789, 3580, 581, 9849, 15450, 543, 8596, 3034, 28490, 594, 2992, 593, 519, 19469, 3987, 1382, 602, 594, 4076, 1044, 3238, 609, 936, 519, 2063, 476, 2412, 1296, 540, 1373, 3238, 609, 3987, 1382, 2094, 594, 729, 513, 2564, 2875, 267, 713, 568, 676, 2484, 519, 1034, 14427, 267, 519, 1034, 16529, 267, 855, 849, 519, 1034, 3078, 1788, 594, 4076, 1044, 3238, 538, 3034, 27270, 281, 19923, 652, 320, 8566, 727, 345, 715, 267, 7638, 21539, 742, 918, 267, 667, 611, 515, 3663, 715, 267, 1696, 620, 269, 11083, 4281, 277, 278, 8992, 25524, 28738, 3218, 15285, 540, 1480, 1775, 4916, 12336, 269, 25745, 8426, 18614, 269, 476, 1708, 274, 281, 306, 21854, 3607, 278, 12208, 4968, 2412, 278, 272, 269, 8222, 281, 476, 1015, 269, 6200, 277, 10768, 269, 980, 13062, 269, 1708, 274, 269, 1015, 269, 22650, 454, 1607, 2376, 814, 1044, 1065, 21242, 689, 519, 1739, 2326, 269, 8074, 281, 1570, 949, 723, 1044, 12995, 585, 3259, 543, 1543, 269, 1280, 2417, 1344, 267, 5225, 3346, 519, 11855, 2707, 269, 0, 763, 1292, 2856, 3297, 2973, 4189, 568, 547, 2824, 3536, 602, 616, 607, 2673, 607, 2009, 547, 875, 789, 941, 1500, 538, 2470, 269, 1924, 3442, 4195, 267, 2898, 3536, 3079, 540, 1346, 602, 2097, 538, 10833, 267, 11435, 267, 610, 824, 15004, 269, 6056, 827, 513, 2898, 9269, 3079, 540, 13792, 3694, 539, 9269, 5546, 610, 1483, 4829, 3079, 540, 4829, 10433, 2861, 10733, 3240, 16152, 563, 2026, 513, 22429, 267, 952, 596, 3251, 2476, 689, 3810, 9268, 3536, 899, 3943, 535, 1845, 267, 12897, 267, 543, 4712, 3562, 3887, 520, 6980, 267, 596, 4465, 1406, 3548, 607, 1082, 8477, 610, 607, 1454, 6070, 267, 4006, 267, 543, 15459, 3170, 269, 3367, 593, 547, 1265, 856, 875, 547, 3548, 2973, 563, 29493, 4934, 1520, 4765, 17491, 454, 2750, 947, 633, 946, 540, 3773, 4006, 568, 2404, 609, 3875, 1072, 2042, 267, 1519, 2597, 2744, 543, 9025, 2068, 269, 16639, 543, 10425, 609, 3773, 4006, 1058, 581, 17515, 689, 519, 2732, 607, 851, 540, 519, 5912, 547, 513, 8902, 267, 2973, 2732, 269, 2422, 2635, 8925, 547, 707, 5172, 26265, 547, 26193, 26351, 543, 3251, 593, 3950, 1247, 596, 2973, 909, 707, 2732, 563, 292, 520, 2859, 29759, 1656, 29641, 454, 15933, 338, 1164, 538, 5567, 1331, 5388, 543, 5613, 269, 1358, 2461, 669, 1442, 2407, 540, 5567, 267, 1519, 6775, 267, 8324, 267, 6886, 267, 543, 2030, 6464, 602, 666, 948, 2569, 6553, 543, 2149, 707, 2281, 689, 3441, 269, 3509, 2090, 723, 1336, 513, 9756, 1063, 4189, 6266, 540, 5613, 543, 5388, 543, 513, 2539, 4960, 540, 3384, 3978, 3676, 899, 2860, 543, 2295, 2068, 563, 7197, 4195, 5388, 543, 5613, 666, 581, 13881, 6151, 1175, 1310, 1373, 13603, 543, 18233, 267, 1818, 873, 3501, 585, 513, 2973, 2732, 269, 11370, 3539, 5214, 1426, 814, 1044, 3254, 547, 3970, 4598, 547, 5739, 13851, 543, 568, 4061, 6225, 547, 1072, 269, 1403, 596, 1616, 547, 2087, 707, 1072, 267, 621, 779, 1655, 547, 3548, 513, 9962, 3099, 540, 5613, 543, 5388, 538, 2489, 267, 2436, 789, 616, 5214, 610, 711, 269, 9578, 267, 596, 666, 2141, 1039, 9360, 689, 1773, 11294, 636, 715, 4405, 1023, 952, 596, 1745, 596, 2461, 711, 3478, 2614, 540, 519, 824, 5567, 596, 991, 1317, 596, 2461, 2519, 593, 5388, 563, 2252, 596, 1810, 1406, 917, 1141, 547, 1376, 950, 621, 2501, 547, 5388, 267, 2015, 519, 2856, 540, 2048, 324, 908, 519, 22774, 9957, 901, 1797, 3843, 547, 723, 607, 1082, 10477, 3536, 593, 707, 6676, 607, 2009, 269, 7822, 995, 1797, 2635, 267, 543, 6960, 610, 581, 15607, 1797, 14432, 1107, 693, 2547, 267, 602, 779, 519, 2013, 1034, 540, 519, 942, 267, 543, 621, 1058, 948, 596, 3314, 1018, 547, 798, 563, 10673, 1406, 16202, 10791, 16639, 454, 10144, 945, 616, 3843, 547, 6336, 2597, 1419, 3548, 968, 323, 2884, 892, 3536, 899, 1970, 19339, 27156, 267, 2732, 10425, 267, 7594, 10682, 13063, 267, 543, 824, 3688, 602, 616, 9277, 547, 948, 596, 6336, 2597, 269, 634, 1966, 568, 602, 891, 3536, 666, 723, 513, 2603, 540, 3773, 4006, 267, 4006, 31431, 267, 543, 29089, 2510, 269, 1280, 1383, 267, 513, 3368, 2275, 1575, 540, 1970, 19339, 18506, 666, 723, 607, 1454, 607, 476, 2537, 10101, 540, 4006, 563, 2005, 779, 2965, 1655, 547, 3251, 2476, 689, 2732, 3536, 610, 1970, 19339, 3536, 952, 596, 1616, 547, 581, 2635, 267, 543, 23578, 547, 513, 2973, 2732, 568, 513, 1454, 1732, 4781, 269, 7994, 2898, 267, 1875, 1673, 2884, 3536, 899, 10750, 267, 2407, 19339, 18506, 543, 2067, 24113, 7423, 609, 1100, 3773, 4006, 950, 596, 2461, 593, 513, 2973, 4189, 1544, 563, 6826, 5516, 995, 2986, 17865, 454, 12024, 4006, 267, 1034, 540, 721, 3548, 1259, 1932, 1454, 9770, 269, 634, 4659, 540, 6925, 3081, 602, 596, 12582, 1406, 1205, 811, 982, 476, 273, 267, 4968, 31501, 540, 9770, 829, 1554, 267, 799, 568, 827, 835, 23188, 540, 6070, 269, 901, 1131, 581, 2653, 547, 4308, 609, 952, 596, 941, 2386, 540, 519, 2179, 540, 6070, 596, 2461, 4189, 267, 855, 1705, 596, 917, 602, 32210, 2600, 540, 519, 6070, 649, 3548, 2501, 689, 4712, 13402, 267, 9268, 13418, 3536, 286, 4475, 267, 952, 596, 3548, 1447, 9268, 1426, 267, 596, 3580, 3548, 1447, 6070, 1317, 1034, 26437, 3536, 723, 811, 9770, 982, 19471, 3536, 563, 8196, 11922, 267, 14546, 267, 20521, 267, 17310, 3282, 267, 543, 16693, 547, 1039, 8137, 547, 707, 1426, 3079, 540, 6070, 950, 596, 3434, 269, 17865, 568, 1271, 585, 8744, 856, 519, 8137, 540, 3536, 543, 666, 1869, 581, 1031, 538, 2973, 3887, 908, 10346, 267, 855, 1152, 538, 1507, 5666, 269, 1879, 20057, 1194, 593, 693, 519, 1439, 540, 5986, 267, 21432, 4262, 6070, 610, 737, 657, 615, 6070, 666, 1039, 513, 2603, 540, 8137, 269, 1358, 849, 723, 1447, 9770, 982, 3349, 6070, 267, 865, 4352, 1869, 711, 7357, 2635, 267, 789, 2461, 711, 607, 16609, 607, 824, 2010, 540, 6070, 563, 300, 7002, 2776, 6137, 29452, 454, 2252, 596, 1118, 513, 19619, 540, 6980, 693, 2899, 585, 519, 3018, 267, 596, 3580, 723, 4195, 267, 2635, 3681, 1169, 1554, 269, 898, 849, 8952, 596, 689, 1818, 3983, 1426, 3664, 950, 596, 2461, 17237, 269, 1280, 1383, 267, 952, 596, 917, 596, 723, 513, 8949, 7594, 2907, 1500, 543, 7996, 538, 519, 26806, 267, 596, 1522, 711, 3247, 693, 513, 3728, 1426, 1747, 585, 513, 2656, 11116, 563, 2791, 1522, 1616, 547, 4444, 513, 3819, 268, 518, 848, 4604, 585, 707, 10051, 865, 596, 666, 2328, 1524, 7594, 4566, 267, 17365, 8638, 267, 543, 2093, 585, 10346, 269, 769, 713, 1259, 267, 596, 4465, 1406, 1205, 12758, 543, 3914, 585, 1491, 719, 1317, 596, 2461, 711, 2386, 1018, 3116, 547, 798, 269, 0, 290, 7394, 11818, 14498, 543, 5726, 1419, 1445, 593, 7893, 3270, 630, 324, 3052, 1421, 2249, 685, 11606, 264, 543, 2242, 972, 514, 998, 942, 630, 324, 3052, 1421, 23229, 1040, 5221, 519, 5817, 3157, 5935, 891, 3270, 616, 1419, 711, 1134, 6594, 267, 2359, 7840, 2611, 1419, 5667, 24594, 267, 6941, 4460, 21502, 324, 6359, 269, 5502, 267, 519, 4763, 543, 2249, 5888, 540, 8978, 610, 2370, 27780, 716, 539, 18625, 568, 1031, 607, 513, 4704, 585, 2048, 1440, 25434, 685, 11818, 2950, 543, 11818, 2359, 568, 4397, 547, 11441, 4724, 13059, 12936, 18625, 1394, 4724, 891, 1666, 3894, 269, 769, 1082, 6753, 267, 2705, 267, 972, 568, 2370, 4960, 540, 2048, 516, 2914, 843, 532, 685, 18625, 547, 8978, 2175, 1813, 547, 519, 5571, 2115, 543, 5222, 540, 1480, 5095, 630, 328, 4318, 1421, 10068, 267, 32132, 946, 267, 2916, 10593, 1916, 4913, 267, 972, 616, 849, 1082, 18625, 1472, 519, 1158, 602, 856, 704, 845, 6788, 2016, 519, 5054, 789, 616, 538, 267, 543, 513, 3395, 1560, 540, 2963, 2982, 602, 27712, 267, 543, 824, 11818, 7103, 267, 666, 581, 811, 14388, 543, 8465, 982, 12926, 10924, 269, 6270, 1806, 1331, 18625, 17005, 2282, 5230, 1480, 1646, 267, 11174, 27712, 1065, 641, 6819, 28811, 4683, 18625, 543, 2978, 268, 571, 2213, 14147, 5104, 32596, 7914, 11034, 532, 1985, 5481, 676, 6397, 4028, 2208, 543, 30508, 12093, 269, 9741, 4674, 568, 9859, 547, 14236, 891, 856, 704, 14127, 18625, 543, 519, 3157, 6117, 741, 2208, 543, 18094, 563, 4407, 519, 2518, 4110, 540, 14147, 7771, 568, 6157, 702, 5142, 727, 267, 4974, 11108, 543, 856, 12656, 14127, 27712, 543, 14147, 11818, 4609, 666, 1689, 875, 649, 2911, 827, 11818, 2530, 267, 6051, 1761, 267, 2359, 3681, 267, 543, 519, 2804, 1871, 540, 18625, 269, 898, 849, 666, 1217, 3209, 2359, 7459, 602, 616, 1759, 593, 519, 7915, 27532, 4390, 540, 1459, 6377, 18625, 2864, 982, 998, 519, 3498, 540, 8733, 3741, 1462, 4328, 18625, 689, 519, 2250, 267, 2588, 26508, 1099, 1993, 1460, 525, 610, 798, 558, 543, 1350, 7112, 20261, 563, 30267, 269, 631, 269, 21502, 324, 6359, 267, 7548, 540, 23427, 13149, 17905, 281, 2052, 8647, 18625, 538, 6397, 6753, 3391, 14147, 14498, 543, 5726, 538, 513, 1974, 540, 4028, 1689, 888, 2791, 666, 4585, 713, 22305, 1116, 11000, 1934, 269, 0, 8967, 582, 16164, 9435, 609, 606, 16316, 11929, 3528, 9400, 623, 2728, 3960, 328, 267, 11022, 267, 12729, 5516 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 827, 1950, 2338, 269, 13018, 267, 594, 6415, 3206, 602, 585, 1022, 1950, 1297, 4399, 6234, 1990, 259, 609, 6207, 1871, 476, 272, 267, 4399, 6234, 1990, 315, 28235, 346, 345, 13157, 272, 8961, 5916, 609, 519, 1249, 602, 4399, 6234, 1990, 18898, 268, 272, 284, 271, 259, 543, 865, 4399, 6234, 1422, 28235, 346, 345, 11892, 333, 268, 272, 284, 259, 13718, 2252, 713, 568, 811, 982, 596, 917, 267, 1287, 621, 781, 711, 2182, 547, 1592, 782, 32671, 5072, 540, 9322, 12799, 543, 1287, 4137, 856, 519, 538, 951, 525, 602, 1259, 269, 4746, 267, 952, 596, 917, 875, 519, 32671, 5072, 540, 9322, 616, 4092, 538, 519, 1950, 7077, 543, 875, 8691, 540, 1950, 2338, 8591, 7285, 543, 12750, 625, 6207, 2418, 267, 1287, 4466, 693, 2547, 835, 11718, 12582, 1405, 581, 1932, 3983, 780, 2252, 596, 2811, 711, 2386, 827, 519, 12166, 2070, 540, 1950, 2338, 543, 741, 4238, 594, 9364, 2303, 1565, 602, 1317, 621, 2306, 2042, 899, 713, 865, 1454, 4443, 547, 14650, 563, 1892, 3967, 476, 2420, 526, 476, 1001, 272, 267, 476, 6734, 281, 866, 6751, 454, 290, 1886, 291, 13831, 454, 1692, 568, 713, 286, 1284, 616, 1869, 538, 519, 1101, 3018, 540, 713, 1362, 630, 629, 5724, 7223, 264, 865, 594, 6415, 711, 2386, 875, 11826, 646, 26770, 721, 547, 581, 780, 4131, 4399, 6234, 772, 259, 581, 519, 1305, 540, 4399, 6234, 562, 259, 628, 5072, 540, 9322, 267, 609, 2609, 4399, 6234, 513, 259, 543, 4399, 6234, 536, 10608, 3973, 4399, 6234, 513, 3867, 333, 13157, 272, 259, 543, 4399, 6234, 536, 3867, 333, 13157, 272, 10608, 1403, 649, 9062, 1312, 5011, 540, 4399, 6234, 513, 3867, 333, 13157, 272, 259, 593, 519, 1318, 676, 4399, 6234, 536, 3867, 333, 4151, 649, 723, 692, 7445, 6234, 513, 3867, 333, 348, 321, 3867, 333, 13157, 321, 3867, 333, 21456, 7445, 6234, 630, 629, 22722, 333, 13157, 321, 3867, 333, 10592, 3719, 2094, 4399, 6234, 536, 3867, 333, 13157, 272, 259, 649, 723, 4399, 6234, 630, 629, 22722, 333, 13157, 272, 259, 543, 4061, 4399, 6234, 705, 259, 568, 606, 4399, 6234, 562, 259, 628, 3597, 540, 9322, 269, 9747, 267, 4399, 6234, 705, 22174, 772, 16859, 7712, 476, 272, 568, 606, 3961, 3693, 538, 4399, 6234, 1422, 13992, 346, 290, 23685, 9392, 4151, 543, 4399, 6234, 476, 272, 3867, 333, 13157, 272, 8961, 519, 3961, 3693, 538, 4399, 6234, 1422, 13992, 346, 290, 23685, 9392, 4151, 568, 849, 538, 4399, 6234, 772, 16859, 7661, 267, 1577, 519, 11201, 540, 4399, 6234, 513, 3867, 333, 4151, 581, 4399, 6234, 513, 13064, 333, 23201, 4595, 4399, 6234, 513, 13064, 333, 13157, 263, 320, 3867, 333, 16585, 13064, 272, 13157, 272, 13064, 272, 13157, 272, 8961, 649, 723, 602, 4399, 6234, 513, 13064, 333, 13157, 272, 10608, 9747, 267, 4399, 6234, 513, 13064, 333, 4153, 514, 772, 259, 563, 1892, 3967, 476, 2420, 526, 476, 1001, 272, 267, 476, 6860, 281, 4097, 6751, 454, 288, 1188, 2041, 564, 454, 2791, 991, 547, 1397, 602, 4399, 6234, 513, 13064, 272, 4153, 514, 772, 267, 259, 711, 4399, 6234, 513, 13064, 333, 4153, 514, 772, 269, 14204, 1892, 3967, 476, 2537, 6113, 476, 1001, 272, 267, 476, 5881, 281, 5881, 7537, 454, 290, 1886, 291, 13831, 454, 25105, 9811, 267, 1134, 602, 568, 513, 1350, 2130, 12161, 256, 8729, 585, 707, 948, 269, 594, 4312, 3893, 513, 4743, 602, 594, 3513, 723, 1896, 811, 2055, 2429, 519, 19496, 780, 7661, 267, 1577, 519, 11201, 540, 4399, 6234, 513, 259, 581, 4399, 6234, 513, 13064, 272, 23201, 4595, 4399, 6234, 630, 320, 13064, 272, 348, 8203, 333, 30381, 13064, 333, 13157, 263, 320, 3867, 333, 16585, 13064, 272, 13157, 272, 13064, 272, 13157, 272, 8961, 649, 723, 602, 4399, 6234, 513, 13064, 272, 4151, 568, 606, 4399, 6234, 562, 259, 628, 3597, 540, 9322, 269, 9747, 267, 4399, 6234, 513, 13064, 272, 4153, 514, 772, 259, 563, 1892, 3967, 476, 2190, 628, 476, 1001, 272, 267, 476, 4962, 281, 2190, 7537, 454, 288, 1188, 2041, 564, 454, 14738, 269, 2334, 5654, 1732, 563, 1892, 3967, 476, 2918, 628, 476, 1001, 272, 267, 476, 6187, 281, 6078, 7537, 454, 290, 1886, 291, 13831, 454, 15916, 1586, 10484, 296, 3494, 602, 594, 723, 1336, 513, 1966, 609, 1250, 6169, 269, 2755, 594, 723, 3254, 602, 513, 1305, 4399, 6234, 772, 259, 9967, 540, 519, 4399, 6234, 562, 259, 628, 5072, 540, 9322, 1106, 513, 32299, 540, 4399, 6234, 1422, 13992, 346, 290, 23685, 9392, 20954, 594, 723, 711, 3254, 602, 4399, 6234, 772, 259, 568, 28023, 267, 610, 602, 621, 568, 540, 1931, 4399, 6234, 562, 16859, 296, 993, 2186, 320, 588, 22981, 607, 547, 875, 594, 1058, 979, 827, 6029, 713, 269, 2755, 621, 4667, 6654, 602, 1250, 6169, 6585, 585, 1022, 7060, 540, 4399, 6234, 513, 8961, 519, 3390, 4667, 602, 519, 1931, 540, 4399, 6234, 772, 259, 1223, 581, 12808, 780, 15987, 1206, 888, 1892, 3967, 476, 2918, 628, 476, 1001, 272, 267, 476, 6187, 281, 5325, 7537, 454, 288, 1188, 2041, 564, 454, 12648, 513, 6251, 1413, 693, 18573, 781, 2022, 1948, 476, 273, 269, 1703, 781, 513, 11718, 972, 563, 1892, 3967, 476, 2918, 628, 476, 1001, 272, 267, 476, 5881, 281, 2764, 7537, 454, 299, 29793, 9155, 25187, 7922, 690, 454, 2026, 585, 7654, 1373, 12808, 267, 972, 616, 1896, 2081, 547, 1397, 602, 621, 3884, 1405, 269, 1411, 666, 8044, 602, 972, 616, 1152, 1710, 7019, 1082, 4025, 519, 3597, 666, 9114, 593, 519, 1770, 5858, 269, 1280, 1383, 267, 835, 476, 277, 628, 3597, 540, 9322, 2306, 606, 5086, 540, 476, 11740, 270, 277, 5232, 609, 519, 1483, 7852, 269, 901, 786, 834, 2998, 1472, 257, 519, 5858, 2899, 593, 922, 7552, 547, 476, 272, 269, 1809, 513, 1448, 666, 849, 979, 1472, 7466, 269, 901, 1131, 5330, 547, 606, 5086, 540, 476, 11740, 270, 274, 269, 17652, 518, 610, 2663, 596, 1376, 547, 10956, 2798, 780, 9827, 267, 596, 666, 1397, 602, 606, 12808, 28023, 1895, 568, 568, 25806, 547, 4399, 6234, 1422, 30848, 315, 13992, 346, 313, 9574, 1341, 315, 26917, 10608, 769, 602, 1895, 519, 3830, 4399, 6234, 1535, 18898, 284, 272, 259, 1131, 581, 2854, 4399, 6234, 562, 343, 284, 271, 259, 1210, 19605, 10035, 269, 901, 3830, 1152, 814, 835, 3070, 538, 4399, 6234, 1422, 30848, 315, 13992, 346, 313, 9574, 1341, 315, 26917, 8961, 6466, 519, 7222, 3830, 538, 519, 1895, 540, 5072, 540, 9322, 814, 693, 2547, 562, 780, 8170, 1576, 519, 15864, 1259, 568, 1175, 547, 1045, 5803, 519, 1249, 602, 606, 32671, 4110, 9971, 538, 1022, 2361, 666, 723, 693, 1034, 562, 21325, 269, 1403, 596, 2811, 4847, 547, 8263, 713, 1287, 621, 781, 519, 15864, 1259, 547, 979, 269, 0, 13043, 338, 6092, 538, 2296, 692, 3682, 7257, 543, 13809, 4813, 10358, 543, 570, 9581, 538, 2296, 692, 3682, 7257, 543, 13809, 4813, 10358, 543, 570, 9581, 538, 2296, 281, 769, 713, 2985, 267, 596, 786, 1451, 827, 30825, 543, 13809, 4569, 4813, 10358, 543, 570, 9581, 267, 1109, 3682, 21793, 267, 10374, 570, 9581, 538, 2296, 269, 901, 1888, 568, 1360, 1271, 585, 1169, 8013, 11400, 7041, 269, 1924, 1354, 23312, 585, 1022, 981, 1224, 891, 2110, 15361, 543, 3137, 5402, 827, 26844, 5999, 609, 10374, 570, 9581, 543, 7778, 780, 3682, 7257, 543, 13809, 13174, 4813, 10358, 538, 2296, 692, 763, 2179, 6976, 547, 6718, 606, 2376, 610, 519, 3902, 693, 799, 606, 2376, 568, 1500, 267, 568, 1634, 607, 922, 1942, 3902, 269, 634, 1942, 3902, 568, 28484, 607, 595, 10422, 780, 306, 2454, 12313, 281, 1109, 763, 3902, 693, 799, 606, 2376, 568, 4421, 267, 568, 1634, 607, 922, 9513, 3902, 269, 634, 9513, 3902, 568, 28484, 607, 590, 10422, 780, 3682, 7257, 281, 1109, 2252, 519, 9513, 3902, 630, 306, 10422, 4700, 540, 606, 2376, 568, 3152, 982, 519, 1942, 3902, 630, 290, 10422, 4700, 2073, 1287, 519, 3017, 1063, 519, 9513, 3902, 543, 1942, 3902, 568, 1572, 7443, 780, 13295, 267, 1403, 590, 10422, 269, 3436, 595, 10422, 1421, 1287, 692, 3682, 7257, 815, 590, 10422, 269, 1107, 595, 10422, 780, 22382, 590, 10422, 269, 815, 595, 10422, 269, 1341, 30825, 692, 22382, 595, 10422, 269, 815, 590, 10422, 269, 1107, 30825, 780, 7078, 476, 272, 281, 589, 6300, 24010, 1207, 903, 3621, 26732, 538, 13557, 585, 12652, 269, 476, 1428, 1142, 269, 1261, 23619, 873, 585, 12652, 269, 476, 2412, 1142, 269, 12433, 519, 7443, 593, 1142, 9498, 538, 8297, 701, 525, 267, 543, 607, 513, 6871, 540, 519, 1942, 3902, 780, 11405, 281, 1109, 11693, 281, 1942, 3902, 815, 12652, 269, 476, 1428, 267, 9513, 3902, 815, 12652, 269, 476, 2412, 692, 3682, 7257, 815, 9513, 3902, 1107, 1942, 3902, 815, 12652, 269, 476, 2412, 1107, 476, 1428, 815, 12652, 269, 476, 1839, 692, 1492, 7443, 607, 513, 6871, 540, 519, 1942, 3902, 1384, 3682, 7257, 4939, 25883, 260, 815, 476, 14917, 269, 278, 30515, 299, 1601, 281, 1109, 2252, 519, 9513, 3902, 630, 306, 10422, 4700, 540, 606, 2376, 568, 1447, 982, 519, 1942, 3902, 630, 290, 10422, 4700, 2073, 1287, 519, 3017, 1063, 519, 1942, 3902, 630, 290, 10422, 4700, 543, 519, 9513, 3902, 630, 306, 10422, 4700, 568, 1572, 2530, 780, 13295, 267, 952, 590, 10422, 269, 2999, 595, 10422, 1421, 1287, 13809, 815, 595, 10422, 269, 1107, 590, 10422, 269, 2340, 18568, 595, 10422, 269, 815, 590, 10422, 269, 1341, 13809, 2340, 18568, 590, 10422, 269, 815, 595, 10422, 269, 1107, 13809, 692, 7078, 476, 273, 281, 1403, 519, 1942, 3902, 540, 513, 1433, 568, 12652, 269, 476, 5611, 543, 9513, 3902, 568, 476, 15389, 269, 2004, 267, 1287, 5173, 519, 2530, 543, 6871, 2530, 593, 519, 1433, 2496, 11405, 281, 1109, 2080, 267, 1942, 3902, 815, 12652, 269, 476, 5611, 692, 663, 9513, 3902, 815, 12652, 269, 476, 15389, 269, 2004, 692, 30043, 299, 1601, 815, 8779, 3902, 1107, 9513, 3902, 692, 284, 12652, 269, 630, 5611, 1107, 476, 15389, 269, 2004, 264, 815, 12652, 269, 476, 1321, 269, 2004, 692, 3086, 267, 20587, 720, 13809, 692, 30515, 260, 815, 476, 279, 269, 3451, 30515, 30022, 518, 6396, 547, 4194, 519, 2055, 692, 2691, 1942, 3902, 543, 6871, 7443, 616, 2016, 267, 1287, 9513, 3902, 692, 284, 1942, 3902, 692, 7078, 476, 274, 281, 589, 11381, 729, 12349, 585, 12652, 269, 476, 30420, 543, 4421, 693, 513, 7443, 540, 476, 1015, 10065, 4855, 519, 9513, 3902, 780, 11405, 281, 1109, 8794, 519, 4542, 692, 306, 2454, 3902, 815, 1942, 3902, 692, 284, 476, 30420, 815, 12652, 269, 476, 276, 1704, 692, 2691, 1942, 3902, 543, 6871, 2530, 616, 2016, 267, 1287, 692, 306, 2454, 3902, 815, 1942, 3902, 692, 7078, 476, 275, 281, 589, 1268, 11751, 513, 3349, 585, 12652, 269, 476, 22213, 543, 4421, 693, 519, 2530, 540, 476, 1428, 260, 1547, 4855, 519, 9513, 3902, 540, 3349, 2496, 11405, 281, 1109, 306, 2454, 3902, 815, 1942, 3902, 692, 284, 12652, 269, 476, 22213, 692, 284, 12652, 269, 476, 3374, 278, 692, 2691, 9513, 3902, 543, 6871, 7443, 616, 2016, 267, 1287, 692, 21798, 3902, 815, 9513, 3902, 692, 7078, 476, 276, 281, 589, 17348, 729, 4421, 585, 12652, 269, 476, 276, 1704, 693, 513, 7443, 540, 476, 1015, 10065, 4855, 519, 1942, 3902, 540, 519, 11381, 780, 11405, 281, 1109, 2080, 267, 9513, 3902, 815, 12652, 269, 476, 276, 1704, 543, 7443, 815, 476, 1015, 30515, 30043, 8779, 3902, 815, 9513, 3902, 692, 284, 476, 276, 1704, 6398, 1109, 284, 12652, 269, 476, 30420, 692, 2691, 9513, 3902, 543, 6871, 2530, 616, 2016, 267, 1287, 692, 21798, 3902, 815, 9513, 3902, 692, 7078, 476, 277, 281, 10548, 4421, 513, 4585, 585, 12652, 269, 476, 4391, 277, 693, 513, 2530, 540, 476, 277, 10065, 4855, 519, 1942, 3902, 540, 519, 4585, 780, 11405, 1384, 21798, 3902, 815, 9513, 3902, 692, 284, 12652, 269, 476, 4391, 277, 6398, 692, 284, 12652, 269, 476, 4391, 277, 6398, 1109, 284, 12652, 269, 476, 6110, 692, 2252, 1079, 3688, 616, 4421, 1142, 693, 8297, 701, 525, 681, 267, 835, 693, 513, 2744, 540, 1535, 260, 543, 824, 693, 513, 2530, 540, 1535, 4939, 267, 972, 568, 2141, 606, 2949, 2530, 2016, 676, 260, 543, 519, 1871, 540, 2530, 568, 2016, 676, 1109, 780, 1103, 2013, 519, 1942, 3902, 540, 1312, 519, 3688, 568, 519, 1482, 543, 6871 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13460, 609, 10792, 8654, 723, 513, 2352, 942, 9363, 5059, 543, 1565, 3927, 269, 17006, 6899, 27939, 5079, 585, 13460, 543, 1353, 2127, 666, 948, 2327, 1053, 723, 519, 2702, 547, 1445, 543, 1451, 1247, 1373, 17159, 269, 0, 3963, 3486, 5026, 7939, 2115, 6963, 454, 763, 4703, 602, 936, 5408, 3486, 5026, 267, 899, 674, 9281, 288, 543, 519, 594, 8016, 267, 991, 606, 936, 3873, 592, 547, 1711, 606, 1256, 543, 4023, 4730, 2361, 454, 7712, 476, 1001, 276, 267, 13558, 779, 1158, 12044, 1560, 267, 674, 9281, 288, 267, 814, 5185, 6811, 540, 7839, 13313, 543, 513, 2475, 10456, 4972, 7634, 883, 536, 1026, 525, 6976, 547, 3486, 8387, 563, 763, 7634, 814, 2938, 1279, 6066, 674, 9281, 288, 7022, 1530, 653, 2349, 2660, 6569, 689, 5604, 543, 1082, 824, 1164, 8573, 21403, 13558, 17531, 13062, 1846, 543, 16984, 17049, 689, 519, 7328, 563, 29012, 267, 3486, 7328, 814, 1044, 3413, 21719, 676, 7928, 543, 15151, 11528, 10350, 543, 13313, 23215, 1023, 899, 713, 267, 609, 1713, 27900, 849, 16109, 538, 519, 21396, 543, 538, 7619, 923, 563, 3719, 2864, 982, 1373, 513, 19588, 540, 835, 11325, 2042, 267, 891, 23215, 1023, 666, 581, 2938, 607, 2963, 540, 2620, 5498, 730, 2152, 538, 519, 4909, 2497, 540, 875, 7328, 568, 18170, 563, 2467, 568, 513, 1483, 1966, 693, 519, 2295, 540, 875, 3486, 7328, 568, 2196, 543, 538, 875, 519, 1876, 605, 1186, 909, 713, 26843, 1062, 269, 21637, 568, 2712, 326, 1836, 2877, 563, 1103, 1142, 7328, 267, 972, 568, 513, 1560, 602, 605, 8010, 338, 3294, 519, 6852, 267, 1158, 17253, 12044, 1560, 269, 1452, 14540, 3635, 741, 1582, 22190, 31212, 1909, 547, 1852, 543, 1118, 3573, 3652, 15725, 1142, 7328, 269, 2368, 5352, 17542, 540, 9489, 538, 8907, 1142, 1032, 563, 11101, 267, 12044, 4703, 899, 519, 4139, 16727, 9730, 630, 296, 8016, 264, 543, 674, 9281, 288, 3635, 1713, 1852, 936, 1367, 5171, 269, 1358, 10038, 711, 1152, 519, 2932, 540, 5716, 543, 9845, 593, 519, 5026, 2361, 267, 855, 849, 875, 789, 7118, 741, 24454, 269, 1358, 3914, 2620, 883, 1018, 1131, 7363, 581, 2808, 5716, 543, 9845, 685, 4357, 2729, 563, 8170, 1576, 267, 3486, 7328, 666, 1152, 1599, 609, 7833, 543, 5812, 3652, 269, 1924, 267, 1247, 1880, 3652, 666, 581, 23503, 267, 621, 779, 7608, 972, 2115, 547, 581, 835, 1560, 547, 1827, 1142, 7328, 563, 3719, 713, 568, 1141, 519, 4295, 1966, 609, 519, 2497, 540, 5026, 10350, 14340, 563, 763, 30049, 626, 5026, 12044, 4703, 616, 711, 11347, 540, 267, 6862, 18177, 547, 267, 1346, 936, 7247, 789, 3635, 1852, 269, 2311, 2547, 11180, 6608, 1107, 8726, 2042, 789, 949, 1995, 1107, 616, 6038, 11221, 676, 267, 543, 18177, 547, 267, 1346, 789, 1827, 269, 901, 568, 711, 519, 2013, 538, 7328, 563, 763, 5318, 5354, 540, 5171, 538, 7328, 723, 1100, 2161, 267, 2047, 610, 18549, 267, 936, 519, 13393, 540, 1346, 945, 1118, 519, 3664, 543, 3652, 602, 4019, 547, 873, 563, 2690, 1383, 267, 519, 1034, 3532, 3486, 10480, 3130, 267, 519, 594, 8016, 267, 568, 538, 9759, 513, 1582, 5498, 22162, 4357, 8630, 609, 519, 2818, 8159, 945, 26082, 873, 269, 769, 11176, 267, 674, 9281, 288, 779, 3375, 24237, 616, 6074, 676, 519, 476, 1220, 610, 865, 4759, 3084, 10480, 518, 725, 563, 8448, 982, 513, 18351, 1297, 540, 9845, 9516, 543, 12912, 676, 519, 594, 8016, 3294, 267, 1100, 1367, 19002, 610, 6345, 568, 513, 4759, 267, 610, 814, 1022, 2161, 538, 519, 4341, 24237, 685, 20499, 563, 1607, 7472, 513, 4909, 11180, 17211, 282, 519, 10350, 20816, 540, 3486, 5026, 2887, 896, 519, 18348, 532, 3310, 540, 6207, 1379, 563, 3383, 10470, 1058, 723, 513, 4105, 1909, 538, 27459, 2358, 891, 4703, 685, 3573, 4357, 7060, 269, 1809, 19890, 267, 1346, 945, 723, 6743, 547, 519, 10470, 585, 4027, 1996, 519, 17062, 1379, 540, 5026, 12044, 4703, 723, 1419, 1044, 25922, 563, 26765, 958, 267, 519, 9431, 1852, 540, 3486, 5026, 12044, 4703, 568, 3592, 24080, 1107, 855, 4636, 569, 1107, 9833, 607, 9844, 2861, 267, 607, 1379, 27361, 676, 17319, 12205, 267, 3335, 998, 4357, 1876, 11731, 269, 30271, 1219, 518, 547, 519, 1379, 540, 519, 12044, 4703, 563, 4913, 267, 713, 1523, 568, 3710, 593, 3656, 535, 11881, 543, 568, 2150, 523, 762, 269, 634, 3652, 540, 513, 12044, 1560, 899, 674, 9281, 288, 1810, 1406, 4096, 593, 1022, 1367, 16045, 779, 9844, 282, 789, 7500, 607, 513, 1106, 540, 29610, 268, 5586, 529, 3175, 269, 1358, 21246, 958, 3635, 1875, 15926, 839, 783, 267, 543, 17062, 267, 632, 1249, 334, 4357, 1379, 563, 1607, 568, 1500, 2009, 676, 519, 26771, 2990, 540, 3486, 10480, 518, 725, 538, 7328, 779, 25327, 267, 5916, 609, 519, 2189, 4390, 540, 5026, 685, 12044, 4703, 685, 547, 20818, 741, 1378, 24476, 1510, 8506, 11268, 2962, 998, 1533, 3656, 1949, 563, 1607, 632, 1249, 334, 1379, 568, 6462, 676, 519, 1875, 15926, 839, 783, 7040, 540, 1488, 4226, 1674, 585, 22505, 267, 513, 5513, 26915, 602, 568, 15868, 547, 7500, 676, 3084, 3656, 1949, 593, 519, 4493, 540, 1175, 5874, 602, 616, 8915, 569, 16283, 563, 2691, 10470, 798, 4283, 883, 513, 15539, 936, 606, 3635, 540, 1379, 676, 513, 7328, 779, 12044, 1560, 267, 519, 24648, 527, 1493, 4357, 1379, 540, 519, 12044, 1560, 568, 7301, 569, 1226, 730, 609, 519, 15698, 540, 519, 5716, 543, 5171, 936, 7247, 519, 1379, 568, 27361, 563, 288, 811, 4977, 1620, 540, 9431, 1379, 538, 3486, 7328, 568, 2877, 547, 25666, 14849, 543, 2556, 15024, 563, 2171, 991, 547, 21028, 519, 1699, 12512, 568, 24648, 527, 1493, 267, 543, 602, 519, 9844, 2861, 3656, 1523, 540, 5026, 12044, 4703, 685, 6392, 568, 16283, 563, 21156, 267, 649, 991, 547, 1711, 513, 5150, 3656, 5748, 585, 9431, 1379, 538, 7328, 269, 4139, 7328, 3340, 606, 3486, 3070, 282, 513, 3656, 15007, 602, 2636, 4703, 547, 1827, 11307, 2954, 543, 609, 519, 3617, 6392, 1131, 581, 513, 10950, 6304, 563, 7804, 5131, 14315, 568, 519, 2278, 540, 3204, 6819, 4139, 22505, 267, 3370, 676, 5696, 650, 563, 289, 534, 1676, 3239, 281, 5192, 1399, 16103 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11907, 26644, 17806, 23917, 2260, 273, 30727, 543, 630, 343, 283, 11907, 9884, 5954, 264, 543, 630, 344, 283, 263, 11907, 269, 19417, 264, 8029, 2018, 1239, 3052, 877, 9359, 539, 815, 6936, 1477, 2018, 1239, 269, 4565, 2931, 31282, 815, 6936, 1477, 2018, 1239, 6983, 343, 815, 1535, 1477, 2018, 1239, 269, 1097, 815, 586, 1477, 1363, 1477, 7462, 19352, 2353, 10310, 5992, 5897, 3698, 2721, 5472, 263, 4754, 11663, 267, 1239, 8029, 825, 1948, 19352, 17461, 1477, 825, 16009, 815, 678, 326, 321, 21803, 263, 14838, 267, 476, 23211, 267, 476, 15704, 3418, 825, 17198, 269, 22056, 318, 5550, 4120, 263, 271, 267, 271, 267, 11907, 9884, 5954, 267, 11907, 269, 19417, 267, 6445, 284, 11927, 2073, 8700, 284, 271, 3418, 24541, 825, 12361, 19352, 7170, 24897, 1012, 1477, 825, 952, 1239, 26644, 306, 10547, 6769, 1363, 1477, 1038, 12361, 19352, 7170, 1012, 1477, 1038, 17198, 269, 22056, 26748, 16597, 9884, 5954, 2260, 273, 267, 11907, 269, 19417, 29688, 273, 267, 3667, 8782, 294, 4599, 513, 3659, 543, 23184, 256, 3299, 15640, 8782, 18872, 3299, 13944, 8782, 295, 10679, 339, 3821, 1412, 1341, 1193, 16597, 26644, 17806, 23917, 264, 1341, 1412, 12050, 20298, 13376, 1477, 1038, 12361, 19352, 1809, 27971, 1012, 1477, 1363, 1477, 1038, 1948, 24375, 1676, 1477, 1038, 17198, 269, 22056, 318, 5550, 4120, 16597, 9884, 5954, 29688, 273, 267, 263, 11907, 269, 19417, 29688, 275, 264, 910, 1239, 269, 31728, 17806, 23917, 267, 11907, 9884, 5954, 29688, 279, 267, 263, 11907, 269, 19417, 29688, 275, 264, 1341, 1239, 269, 31728, 17806, 23917, 267, 6445, 284, 834, 13582, 14744, 1038, 17198, 269, 22056, 26748, 16597, 9884, 5954, 2260, 273, 267, 11907, 269, 19417, 29688, 275, 267, 3667, 8782, 32271, 10670, 1676, 3299, 15640, 8782, 18872, 3299, 13944, 8782, 295, 10679, 339, 3821, 1412, 1341, 1193, 16597, 269, 31728, 17806, 23917, 264, 1341, 1412, 12050, 20298, 1038, 1948, 1103, 23059, 1477, 1038, 17198, 269, 22056, 318, 5550, 4120, 16597, 9884, 5954, 29688, 273, 267, 263, 11907, 269, 19417, 29688, 277, 264, 910, 1239, 269, 31728, 17806, 23917, 267, 11907, 9884, 5954, 29688, 279, 267, 263, 11907, 269, 19417, 29688, 277, 264, 1341, 1239, 269, 31728, 17806, 23917, 267, 6445, 815, 834, 344, 3641, 14744, 1038, 17198, 269, 22056, 26748, 16597, 9884, 5954, 2260, 273, 267, 11907, 269, 19417, 29688, 277, 267, 3667, 8782, 32271, 29329, 3299, 15640, 8782, 18872, 3299, 13944, 8782, 295, 10679, 339, 3821, 1412, 1341, 1193, 16597, 269, 31728, 17806, 23917, 264, 1341, 1412, 12050, 20298, 1038, 1948, 28723, 1477, 1038, 17198, 269, 22056, 318, 5550, 4120, 16597, 9884, 5954, 29688, 273, 267, 263, 11907, 269, 19417, 29688, 279, 264, 910, 1239, 269, 31728, 17806, 23917, 267, 11907, 9884, 5954, 29688, 279, 267, 263, 11907, 269, 19417, 29688, 279, 264, 1341, 1239, 269, 31728, 17806, 23917, 267, 6445, 815, 834, 1042, 14744, 1038, 17198, 269, 22056, 26748, 16597, 9884, 5954, 2260, 273, 267, 11907, 269, 19417, 29688, 279, 267, 3667, 8782, 32271, 5917, 534, 1386, 3299, 15640, 8782, 18872, 3299, 13944, 8782, 295, 10679, 339, 3821, 1412, 1341, 1193, 16597, 269, 31728, 17806, 23917, 264, 1341, 1412, 12050, 20298, 13376, 1477, 825, 12361, 19352, 519, 8274, 10794, 1012, 1477, 825, 3116, 6769, 1038, 1948, 19352, 8274, 1477, 1038, 585, 4737, 538, 2039, 16597, 269, 4580, 29228, 269, 4900, 8029, 2018, 585, 897, 538, 2039, 16597, 269, 4580, 29228, 31815, 338, 8029, 3546, 23451, 284, 1205, 28053, 289, 2432, 16597, 269, 4580, 29228, 267, 4737, 267, 897, 3418, 3546, 17198, 269, 22056, 318, 5550, 4120, 6357, 2432, 11859, 271, 267, 23451, 13885, 271, 267, 23451, 11859, 272, 267, 23451, 13885, 272, 267, 6445, 284, 11927, 267, 7291, 8782, 18872, 20298, 4449, 1477, 1038, 1948, 19352, 7638, 23753, 25373, 21506, 1038, 952, 1239, 269, 611, 2381, 300, 1712, 543, 1239, 20481, 294, 5090, 26213, 6769, 2018, 585, 4737, 538, 2039, 16597, 269, 591, 23753, 294, 5090, 269, 4900, 8029, 3546, 585, 897, 538, 2039, 16597, 269, 591, 23753, 294, 5090, 31815, 338, 8029, 7386, 23451, 284, 1205, 28053, 289, 2432, 16597, 269, 591, 23753, 294, 5090, 267, 4737, 267, 897, 3418, 7386, 17198, 269, 22056, 318, 5550, 4120, 6357, 2432, 11859, 271, 267, 23451, 13885, 271, 267, 23451, 11859, 272, 267, 23451, 13885, 272, 267, 7291, 8782, 1097, 534, 20298, 1363, 1477, 1038, 1948, 19352, 853, 2158, 1477, 1038, 585, 4737, 538, 2039, 16597, 269, 591, 23753, 294, 5090, 269, 4900, 8029, 2018, 585, 897, 538, 2039, 16597, 269, 591, 23753, 294, 5090, 31815, 338, 8029, 3546, 6149, 815, 1239, 14714, 2158, 314, 992, 6012, 3712, 15947, 3546, 952, 6149, 269, 10233, 2652, 834, 18872, 257, 6769, 7386, 1711, 1805, 821, 263, 4754, 11663, 267, 7723, 3418, 3546, 8640, 6149, 269, 10233, 2652, 834, 19009, 257, 6769, 7386, 1711, 1805, 821, 263, 4754, 11663, 267, 7723, 3418, 4449, 1477, 1038, 1948, 14611, 32386, 29502, 1477, 1038, 952, 711, 1239, 269, 611, 2381, 300, 1712, 543, 711, 1239, 269, 16557, 29228, 6769, 2018, 17198, 269, 22056, 318, 5550, 4120, 16597, 9884, 5954, 29688, 275, 267, 263, 11907, 269, 19417, 29688, 4962, 264, 910, 630, 11907, 269, 31728, 17806, 23917, 2260, 273, 1070, 11907, 9884, 5954, 29688, 277, 267, 263, 11907, 269, 19417, 29688, 4962, 264, 1341, 630, 11907, 269, 31728, 17806, 23917, 2260, 273, 1070, 6445, 815, 16009, 3418, 2018, 17198, 269, 22056, 26748, 16597, 9884, 5954, 2260, 273, 267, 11907, 269, 19417, 29688, 4962, 267, 3667, 8782, 14611, 32386, 3299, 15640, 8782, 18872, 3299, 13944, 8782, 295, 10679, 339, 3821, 1412, 1341, 1193, 16597, 269, 31728, 17806, 23917, 2260, 273, 264, 1341, 1412, 12050, 20298, 4449, 24541, 1038, 1948, 3849, 2381, 25042, 1477, 1038, 952, 711, 1239, 269, 16557, 29228, 6769, 2018, 952, 1239, 269, 611, 2381, 300, 1712, 6769, 3546, 1948, 3719, 2023, 570, 5281, 5682, 1477, 3546, 17198, 269, 22056, 318, 5550, 4120, 16597, 9884, 5954, 29688, 275, 267, 263, 11907, 269, 19417, 29688, 272, 264, 910, 630, 11907, 269, 31728, 17806, 23917, 2260, 273, 1070, 11907, 9884, 5954, 29688, 277, 267, 263, 11907, 269, 19417, 29688, 272, 11924, 263, 11907, 269, 31728, 17806, 23917, 2260, 273, 1070, 6445, 815, 834, 13582, 14744, 3546, 17198, 269, 22056, 26748, 16597, 9884, 5954, 2260, 273, 267, 11907, 269, 19417, 29688, 272, 267, 3667, 8782, 3849, 2381, 25042, 3299, 15640, 8782, 18872, 3299, 13944, 8782, 295, 10679, 339, 3821, 1412, 1341, 1193, 16597, 269, 31728, 17806, 23917, 2260, 273, 264, 1341, 1412, 12050, 20298, 3546, 1948, 7230, 913, 12942, 29502, 1477, 3546, 17198, 269, 22056, 318, 5550, 4120, 16597, 9884, 5954, 29688, 275, 267, 263, 11907, 269, 19417, 29688, 4962, 264, 910, 630, 11907, 269, 31728, 17806, 23917, 2260, 273, 1070, 11907, 9884, 5954, 29688, 277, 267, 263, 11907, 269, 19417, 29688, 4962, 11924, 263, 11907, 269, 31728, 17806, 23917, 2260, 273, 1070, 6445, 815, 16009, 3418, 3546, 17198, 269, 22056, 26748, 16597, 9884, 5954, 2260, 273, 267, 11907, 269, 19417, 29688, 4962, 267, 3667, 8782, 7230, 913, 12942, 3299, 15640, 8782, 18872, 3299, 13944, 8782, 295, 10679, 339, 3821, 1412, 1341, 1193, 16597, 269, 31728, 17806, 23917, 2260, 273, 264, 1341, 1412, 12050, 20298, 3546, 952, 1239, 31927, 1805, 821, 6769, 7386, 17198, 269, 22056, 318, 5550, 4120, 16597, 9884, 5954, 29688, 275, 267, 263, 11907, 269, 19417, 29688, 4962, 9984, 263, 11907, 269, 31728, 17806, 23917, 2260, 273, 1070, 11907, 9884, 5954, 29688, 277, 267, 263, 11907, 269, 19417, 29688, 4962, 11924, 263, 11907, 269, 31728, 17806, 23917, 2260, 273, 1070, 15640, 815, 834, 1042, 14744, 7386, 17198, 269, 22056, 26748, 16597, 9884, 5954, 2260, 273, 267, 11907, 269, 19417, 29688, 4962, 267, 3667, 8782, 7230, 913, 12942, 3299, 15640, 8782, 18872, 3299, 13944, 8782, 295, 10679, 339, 3821, 1412, 1341, 1193, 16597, 269, 31728, 17806, 23917, 2260, 273, 264, 1341, 1412, 12050, 20298, 2018, 3116, 6769, 3546, 17198, 269, 22056, 318, 5550, 4120, 16597, 9884, 5954, 29688, 275, 267, 263, 11907, 269, 19417, 29688, 272, 264, 910, 630, 11907, 269, 31728, 17806, 23917, 2260, 273, 1070, 11907, 9884, 5954, 29688, 277, 267, 263, 11907, 269, 19417, 29688, 272, 264, 1341, 630, 11907, 269, 31728, 17806, 23917, 2260, 273, 1070, 6445, 815, 16009, 3418, 3546, 17198, 269, 22056, 26748, 16597, 9884, 5954, 2260, 273, 267, 11907, 269, 19417, 29688, 272, 267, 3667, 8782, 3849, 2381, 25042, 3299, 15640, 8782, 18872, 3299, 13944, 8782, 295, 10679, 339, 3821, 1412, 1341, 1193, 16597, 269, 31728, 17806, 23917, 2260, 273, 264, 1341, 1412, 12050, 20298, 17264, 1477, 1038, 1948, 30360, 10794, 29502, 1477, 1038, 952, 1239, 269, 16557, 29228, 6769, 2018, 17198, 269, 22056, 26748, 16597, 9884, 5954, 2260, 273, 267, 11907, 269, 19417, 29688, 4962, 267, 3667, 8782, 12812, 16458, 853, 2158, 6969, 2480, 1681, 3299, 15640, 8782, 18872, 3299, 13944, 8782, 295, 10679, 339, 3821, 1412, 1341, 1193, 17301, 16597, 269, 31728, 17806, 23917, 2260, 273, 269, 276, 4297, 1341, 1412, 12050, 20298, 2018, 17198, 269, 22056, 318, 5550, 4120, 16597, 9884, 5954, 29688, 275, 267, 263, 11907, 269, 19417, 29688, 272, 264, 910, 630, 11907, 269, 31728, 17806, 23917, 2260, 273, 1070, 11907, 9884, 5954, 29688, 277, 267, 263, 11907, 269, 19417, 29688, 272, 264, 1341, 630, 11907, 269, 31728, 17806, 23917, 2260, 273, 1070, 6445, 815, 16009, 3418, 2018, 17198, 269, 22056, 26748, 16597, 9884, 5954, 2260, 273, 267, 11907, 269, 19417, 29688, 272, 267, 3667, 8782, 30360, 10794, 256, 3299, 15640, 8782, 18872, 3299, 13944, 8782, 295, 10679, 339, 3821, 1412, 1341, 1193, 16597, 269, 31728, 17806, 23917, 2260, 273, 264, 1341, 1412, 12050, 20298, 17264, 1477, 1038, 1948, 296, 331, 29729, 8844, 7956, 1477, 1038, 952, 1239, 269, 4068, 6549, 31161, 6769, 2018, 17198, 269, 22056, 26748, 16597, 9884, 5954, 2260, 273, 267, 11907, 269, 19417, 2260, 273, 267, 3667, 8782, 296, 331, 29729, 8844, 256, 8347, 11088, 3299, 15640, 8782, 1042, 3299, 13944, 8782, 295, 10679, 339, 3821, 1412, 1341, 1193, 16597, 26644, 17806, 23917, 264, 1341, 1412, 12050, 20298, 24541, 1038, 1948, 14937, 781, 17121, 630, 29381, 3418, 1038, 17198, 269, 22056, 26748, 16597, 9884, 5954, 29688, 273, 267, 11907, 269, 19417, 29688, 4962, 267, 3667, 8782, 14937, 3299, 15640, 8782, 18872, 3299, 13944, 8782, 295, 10679, 339, 3821, 1412, 1341, 1193, 16597, 269, 31728, 17806, 23917, 2260, 273, 264, 1341, 1412, 12050, 20298, 1038, 17198, 269, 22056, 26748, 16597, 9884, 5954, 29688, 272, 267, 11907, 269, 19417, 29688, 272, 267, 3667, 8782, 290, 2194, 999, 281, 1412, 1341, 1193, 16597, 6983, 2194, 3293, 19669, 1070, 15640, 8782, 18872, 3299, 13944, 8782, 295, 10679, 339, 3821, 1412, 1341, 1193, 16597, 269, 31728, 17806, 23917, 2260, 273, 264, 1341, 1412, 12050, 20298, 1038, 952, 1239, 269, 4565, 2931, 31282, 6769, 2018, 1948, 14937, 10361, 518, 1477, 2018, 17198, 269, 22056, 318, 5550, 4120, 16597, 9884, 5954, 29688, 272, 267, 263, 11907, 269, 19417, 29688, 4962, 9984, 263, 11907, 269, 31728, 17806, 23917, 2260, 273, 1070, 11907, 9884, 5954, 29688, 274, 267, 263, 11907, 269, 19417, 29688, 4962, 11924, 263, 11907, 269, 31728, 17806, 23917, 2260, 273, 1070, 15640, 6889, 18872, 14744, 2018, 17198, 269, 22056, 26748, 16597, 9884, 5954, 29688, 273, 267, 11907, 269, 19417, 29688, 4962, 267, 3667, 8782, 14937, 3299, 15640, 8782, 19009, 3299, 13944, 8782, 295, 10679, 339, 3821, 1412, 1341, 1193, 16597, 269, 31728, 17806, 23917, 2260, 273, 264, 1341, 1412, 12050, 20298, 2018, 1948, 14937, 10426, 29502, 1477, 2018, 952, 711, 1239, 269, 611, 2381, 300, 1712, 543, 711, 1239, 269, 16557, 29228, 6769, 3546, 17198, 269, 22056, 318, 5550, 4120, 16597, 9884, 5954, 29688, 1839, 267, 263, 11907, 269, 19417, 29688, 272, 9984, 263, 11907, 269, 31728, 17806, 23917, 2260, 273, 1070, 11907, 9884, 5954, 29688, 3374, 267, 263, 11907, 269, 19417, 29688, 272, 11924, 263, 11907, 269, 31728, 17806, 23917, 2260, 273, 1070, 15640, 284, 11927, 3418, 3546, 17198, 269, 22056, 26748, 16597, 9884, 5954, 29688, 274, 267, 11907, 269, 19417, 29688, 272, 267, 3667, 8782, 27879, 3299, 15640, 8782, 14937, 3299, 13944, 8782, 295, 10679, 339, 3821, 1412, 1341, 1193, 16597, 269, 31728, 17806, 23917, 2260, 273, 264, 1341, 1412, 12050, 20298, 17264, 1477, 1038, 1948, 19669, 781, 17121, 630, 14738, 264, 21506, 1038, 17198, 269, 22056, 26748, 16597, 9884, 5954, 29688, 279, 267, 11907, 269, 19417, 29688, 4962, 267, 3667, 8782, 19669, 3299, 15640, 8782, 18872, 3299, 13944, 8782, 295, 10679, 339, 3821, 1412, 1341, 1193, 16597, 269, 31728, 17806, 23917, 2260, 273, 264, 1341, 1412, 12050, 20298, 1038, 17198, 269, 22056, 26748, 16597, 9884, 5954, 29688, 280, 267, 11907 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2162, 5851, 3436, 595, 7563, 288, 279, 3436, 3848, 476, 1556, 5149, 476, 1321, 3436, 7689, 595, 7563, 281, 476, 1556, 269, 274, 269, 272, 3436, 9046, 1556, 268, 10602, 692, 1556, 268, 10602, 780, 24066, 10663, 519, 4082, 2630, 950, 1269, 343, 284, 2767, 259, 543, 1269, 344, 284, 1626, 16859, 259, 277, 343, 3867, 273, 270, 274, 348, 344, 3867, 272, 270, 275, 4153, 10383, 1535, 13064, 272, 348, 344, 3867, 272, 270, 273, 10592, 9359, 676, 28976, 519, 4082, 563, 8855, 602, 950, 596, 9062, 2338, 609, 519, 1482, 3490, 267, 1109, 596, 666, 1039, 519, 23055, 1927, 780, 259, 277, 13375, 3287, 3867, 17353, 2765, 346, 273, 348, 274, 346, 3686, 348, 343, 13064, 272, 4153, 2431, 9385, 3847, 12169, 17353, 2765, 346, 272, 2410, 275, 3686, 344, 17353, 2765, 346, 272, 2410, 273, 14990, 2431, 22491, 259, 277, 13375, 3287, 17353, 2765, 346, 273, 2410, 274, 18511, 272, 4153, 2431, 9385, 3847, 12169, 17353, 2765, 346, 272, 2410, 275, 23180, 2765, 346, 272, 2410, 273, 14990, 2431, 22491, 259, 277, 343, 3867, 10559, 2765, 346, 272, 2410, 274, 3686, 344, 17353, 2765, 346, 274, 2410, 275, 32556, 27802, 3482, 519, 2016, 2418, 585, 1269, 343, 259, 543, 1269, 344, 259, 1287, 14458, 563, 293, 3555, 531, 23055, 2099, 513, 1379, 543, 513, 3597, 563, 763, 3597, 568, 5462, 676, 519, 14009, 267, 543, 519, 1379, 676, 519, 19362, 563, 2690, 1383, 267, 519, 20800, 585, 1269, 1626, 259, 1797, 519, 1269, 275, 259, 628, 3597, 540, 1269, 1626, 259, 6659, 547, 519, 1269, 274, 259, 6113, 1379, 780, 259, 277, 13375, 263, 2767, 3867, 10559, 2765, 346, 272, 2410, 274, 14990, 2431, 9385, 3847, 263, 1626, 17353, 2765, 346, 274, 2410, 275, 14990, 2431, 22491, 259, 277, 13375, 7268, 2765, 346, 272, 2410, 274, 4153, 2431, 7565, 279, 22491, 259, 1626, 259, 0, 1892, 5530, 12754, 454, 1892, 10812, 692, 20776, 3272, 692, 265, 2659, 4879, 568, 1360, 1271, 585, 5355, 519, 960, 540, 5841, 4987, 267, 799, 3029, 519, 1543, 540, 713, 1788, 692, 291, 17805, 1644, 2035, 692, 299, 3430, 823, 2203, 630, 325, 12099, 264, 28957, 267, 1413, 1575, 692, 289, 2435, 3406, 3529, 28957, 267, 1413, 1575, 692, 289, 2435, 3529, 28957, 267, 1413, 1575, 692, 11328, 1998, 3529, 28957, 267, 1413, 1575, 692, 16446, 1700, 18872, 3529, 28957, 267, 1413, 1575, 692, 289, 2389, 872, 28957, 267, 1413, 1575, 692, 9558, 5296, 454, 3499, 7419, 4353, 8991, 14510, 5508, 23333, 6865, 19447, 267, 590, 6020, 29135, 25605, 454, 7419, 4353, 8991, 14510, 5508, 23333, 6865, 19447, 590, 29558, 5357, 5508, 19766, 308, 16249, 454, 291, 9680, 12767, 5508, 645, 3722, 4047, 299, 3036, 5508, 5442, 19489, 7246, 3582, 570, 22379, 630, 12327, 9898, 2793, 299, 994, 10907, 27854, 5729, 476, 1001, 277, 1107, 476, 273, 526, 5729, 22410, 1107, 12054, 6856, 476, 275, 454, 3951, 25148, 276, 1107, 14691, 4083, 454, 8512, 476, 272, 910, 13038, 14893, 7726, 7433, 454, 272, 628, 5239, 267, 476, 1001, 277, 454, 263, 24535, 670, 21788, 994, 30131, 27491, 10778, 27949, 371, 454, 763, 8653, 540, 519, 1957, 568, 476, 272, 630, 821, 264, 5662, 563, 27949, 371, 454, 763, 5420, 540, 6044, 543, 2055, 568, 2296, 563, 27949, 371, 454, 763, 1957, 814, 476, 1839, 2055, 543, 476, 5400, 3817, 563, 27949, 371, 454, 5472, 2055, 616, 540, 519, 14330, 304, 630, 21296, 14893, 5999, 264, 1826, 563, 27949, 371, 454, 27949, 371, 454, 10376, 2243, 786, 723, 476, 276, 630, 325, 633, 264, 5079, 609, 835, 610, 811, 2953, 4267, 563, 27949, 371, 454, 5472, 2055, 786, 4163, 3160, 7436, 563, 27949, 371, 454, 2467, 786, 581, 513, 15163, 585, 11234, 6114, 547, 25339, 27378, 563, 27949, 371, 454, 763, 1665, 2016, 585, 513, 2243, 786, 4268, 689, 476, 271, 630, 5472, 519, 11234, 5079, 616, 6825, 1299, 1100, 454, 322, 8091, 5079, 616, 6825, 264, 547, 1341, 272, 630, 5472, 519, 2953, 5079, 616, 6825, 1299, 1100, 11234, 454, 577, 7860, 616, 6825, 1916, 27949, 371, 454, 27949, 371, 454, 9616, 602, 2055, 2408, 593, 1312, 5011, 540, 519, 1957, 563, 2252, 513, 2985, 568, 711, 9102, 267, 5225, 1217, 519, 28643, 5612, 563, 27949, 371, 454, 15812, 519, 2953, 5079, 593, 519, 2243, 1957, 1101, 543, 1287, 4483, 873, 547, 519, 2016, 454, 13318, 15297, 2016, 593, 519, 824, 2427, 540, 519, 2626, 6656, 1354, 596, 12094, 707, 454, 322, 8091, 5079, 563, 272, 454, 272, 264, 14597, 835, 12204, 606, 5044, 540, 4557, 9981, 1210, 844, 6506, 677, 267, 543, 952, 646, 24172, 814, 1175, 8737, 519, 454, 14140, 15652, 532, 607, 5205, 563, 1321, 267, 476, 279, 267, 1724, 267, 3393, 267, 8660, 267, 7761, 267, 4649, 267, 7761, 267, 6858, 267, 5952, 454, 7617, 3948, 4433, 264, 568, 270, 732, 2953, 888, 5416, 264, 634, 22141, 1223, 581, 476, 3393, 267, 855, 621, 568, 711, 476, 4649, 454, 6357, 264, 8307, 2009, 22141, 1871, 568, 476, 1724, 454, 6262, 264, 634, 22141, 1871, 1223, 581, 519, 476, 1724, 267, 855, 621, 568, 711, 476, 279, 454, 5560, 264, 8307, 2009, 22141, 1871, 568, 476, 3393, 454, 16216, 264, 634, 22141, 1871, 1223, 581, 2901, 476, 1321, 610, 519, 476, 3393, 454, 273, 994, 274, 994, 275, 994, 1432, 616, 519, 10782, 30924, 267, 3328, 2013, 543, 1655, 2013, 4881, 2053, 6606, 585, 32686, 1076, 454, 31374, 5690, 547, 4990, 606, 5044, 540, 562, 2609, 888, 5416, 264, 744, 3799, 476, 274, 270, 273, 1070, 744, 3799, 273, 1070, 744, 3799, 273, 994, 6357, 264, 562, 8298, 630, 333, 1070, 302, 3799, 1070, 302, 3799, 273, 994, 5560, 264, 744, 3799, 273, 1070, 744, 3799, 273, 1070, 744, 3799, 273, 994, 16216, 264, 744, 3799, 1070, 302, 3799, 1070, 744, 3799, 994, 6262, 264, 744, 3799, 8298, 562, 1070, 744, 3799, 273, 1070, 302, 3799, 994, 288, 23030, 9612, 10326, 630, 289, 4306, 264, 568, 6383, 676, 29780, 1739, 9981, 538, 1931, 912, 2004, 267, 476, 1428, 267, 476, 7830, 267, 476, 276, 267, 476, 736, 267, 476, 6812, 267, 476, 11011, 267, 476, 274, 267, 476, 279, 267, 476, 4391, 267, 476, 2568, 267, 476, 2190, 454, 763, 2698, 1297, 540, 9136, 538, 519, 2451, 1016, 2389, 872, 543, 519, 1318, 1016, 2389, 872, 267, 6606, 616, 10778, 5416, 264, 630, 275, 267, 278, 994, 6357, 264, 630, 278, 267, 275, 994, 5560, 264, 630, 274, 267, 279, 994, 16216, 264, 630, 276, 267, 277, 994, 6262, 264, 630, 279, 267, 274, 994, 22428, 649, 723, 2338, 1063, 476, 272, 543, 476, 1911, 271, 538, 513, 9352, 3406, 3529, 543, 1616, 547, 3406, 454, 1721, 519, 1297, 476, 3607, 274, 269, 6904, 540, 519, 1739, 5311, 1223, 711, 581, 519, 5311, 540, 519, 6843, 454, 1410, 600, 1441, 888, 5416, 264, 476, 273, 267, 476, 21857, 267, 476, 25002, 267, 476, 4375, 279, 267, 476, 20065, 267, 476, 30306, 267, 476, 4375, 278, 267, 476, 3607, 274, 454, 6357, 264, 476, 280, 2190, 267, 476, 13136, 267, 476, 26605, 267, 476, 28192, 267, 476, 279, 7176, 267, 476, 28670, 267, 476, 3607, 273, 267, 476, 3607, 274, 454, 6262, 264, 476, 280, 1839, 267, 476, 1708, 267, 476, 26605, 267, 476, 13301, 267, 476, 280, 1321, 267, 476, 25090, 267, 476, 28670, 267, 476, 3607, 274, 454, 5560, 264, 476, 273, 267, 274, 4200, 267, 476, 4343, 278, 267, 476, 25546, 267, 476, 29214, 267, 476, 4343, 273, 267, 476, 4343, 272, 267, 476, 30116, 267, 476, 3607, 274, 454, 16216, 264, 476, 273, 267, 476, 21857, 267, 476, 25002, 267, 476, 4375, 279, 267, 476, 28664, 267, 476, 24833, 267, 476, 4375, 278, 267, 476, 3607, 274, 454, 276, 264, 6904, 1826, 540, 21986, 531, 540, 23030, 9612, 10326, 17016, 519, 1871, 538, 15044, 1931, 888, 5416, 264, 2776, 19195, 454, 6357, 264, 769, 19195, 454, 16216, 264, 7183, 540, 519, 1657, 454, 6262, 264, 5403, 19195, 454, 273, 454, 277, 264, 634, 4463, 540, 513, 23030, 9612, 10326, 630, 289, 4306, 264, 568, 2016, 607, 554, 269, 6333, 519, 4463, 540, 519, 3529, 607, 519, 454, 15893, 540, 8728, 538, 519, 13074, 2619, 689, 3597, 547, 519, 6978, 269, 1548, 568, 519, 5021, 2009, 454, 15893, 540, 9136, 538, 519, 3529, 888, 278, 994, 5416, 264, 476, 273, 327, 268, 272, 910, 272, 454, 6357, 264, 476, 273, 327, 266, 272, 910, 476, 272, 454, 5560, 264, 476, 273, 327, 268, 272, 1341, 272, 454, 16216, 264, 476, 273, 8421, 22607, 266, 272, 994, 6262, 264, 476, 273, 327, 1341, 272, 454, 7617, 540, 519, 1739, 568, 270, 732, 711, 606, 3498, 540, 10518, 888, 5416, 264, 15531, 27353, 454, 6262, 264, 11638, 1255, 540, 8422, 454, 6357, 264, 18975, 540, 670, 8457, 328, 454, 5560, 264, 5606, 1460, 547, 2022, 25785, 7503, 454, 16216, 264, 15531, 519, 1034, 1455, 27708, 454, 279, 264, 769, 606, 20724, 299, 3529, 267, 519, 3666, 3815, 540, 513, 6843, 589, 729, 476, 271, 543, 513, 6843, 729, 17332, 547, 519, 2451, 540, 519, 454, 27161, 589, 267, 1287, 454, 5416, 264, 621, 568, 2838, 547, 3666, 19219, 589, 454, 6357, 264, 621, 568, 2838, 547, 3666, 9977, 540, 6843, 589, 454, 6262, 264, 621, 568, 2838, 547, 3666, 9406, 1126, 540, 589, 454, 5560, 264, 21344, 949, 610, 949, 711, 581, 2838, 585, 589, 454, 16216, 264, 621, 568, 2838, 547, 3666, 19382, 1126, 540, 589, 454, 280, 264, 6333, 519, 1739, 1102, 1460, 4082, 563, 275, 266, 274, 16732, 277, 265, 274, 268, 1321, 994, 2252, 835, 3096, 519, 8912, 29571, 5690, 547, 6460, 519, 4082, 689, 1102, 1460, 547, 2022, 25785, 10035, 2676, 6343, 568, 519, 5021, 1297, 540, 21797, 602, 786, 2408, 593, 519, 10518, 693, 513, 942, 1282, 519, 454, 935, 11437, 540, 713, 4082, 888, 1015, 994, 5416, 264, 476, 272, 454, 6357, 264, 476, 273, 454, 5560, 264, 476, 275, 454, 16216, 264, 476, 276, 610, 811, 454, 6262, 264, 476, 274, 454, 22428, 649, 723, 606, 5044, 6388, 540, 519, 10518, 1362, 267, 609, 27552, 3688, 538, 454, 1492, 10518, 6740, 693, 1239, 1496, 271, 316, 998, 1239, 1496, 1724, 4940, 634, 5021, 4390, 540, 519, 5044, 454, 529, 476, 5655, 269, 7316, 1281, 519, 7903, 1505, 1747, 519, 1007, 7127, 538, 519, 5044, 888, 320, 264, 4578, 314, 271, 2639, 321, 264, 4578, 314, 5655, 2639, 323, 264, 29571, 568, 24492, 454, 324, 264, 4578, 1496, 1691, 2639, 322, 264, 4578, 314, 1724, 2639, 274, 454, 1556, 264, 2715, 5325, 267, 476, 1321, 267, 476, 280, 267, 476, 1015, 267, 476, 275, 267, 476, 4817, 267, 476, 3607, 267, 476, 6872, 348, 568, 513, 1305, 540, 9981, 563, 2252, 519, 9352, 3406, 3529, 568, 2813, 1210, 519, 1657, 1305, 540, 9981, 543, 952, 835, 6499, 547, 18419, 454, 15893, 476, 1321, 689, 519, 4611, 3529, 267, 1018, 1131, 835, 3442, 607, 1315, 263, 320, 264, 13868, 6843, 4433, 264, 585, 519, 454, 1372, 2280, 542, 888, 5416, 264, 476, 3607, 454, 6357, 264, 476, 275, 454, 5560, 264, 476, 280, 454, 16216, 264, 476, 6872, 454, 6262, 264, 476, 1015, 454, 1321, 264, 634, 942, 3815, 950, 8159, 519, 4398, 540, 5690, 568, 6027, 676, 454, 5416, 994, 6357, 994, 6262, 994, 5560, 994, 16216, 994, 15575, 532, 519, 11056, 942, 1210, 1984, 1047, 6948, 454, 15575, 532, 519, 1297, 540, 6898, 538, 519, 5690, 454, 15575, 532, 519, 1297, 540, 1883, 4238, 538, 519, 5690, 454, 15575, 532, 519, 4893, 984, 344, 5052, 1031, 538, 519, 5690, 454, 15575, 532, 519, 11603, 1913, 1031, 538, 519, 5690, 454, 1724, 264, 6333, 519, 1739, 6516, 563, 2252, 835, 3643, 519, 9136, 540, 713, 3529, 1210, 513, 840, 4650, 21986, 531, 267, 538, 1018, 1931, 786, 519, 9136, 581, 454, 6665, 1243, 888, 5416, 264, 476, 272, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 278, 476, 279, 476, 280, 454, 6357, 264, 476, 272, 476, 273, 476, 275, 476, 280, 476, 277, 476, 274, 476, 279, 476, 276, 476, 278, 454, 5560, 264, 476, 275, 476, 273, 476, 280, 476, 272, 476, 279, 476, 274, 476, 276, 476, 277, 476, 278, 476, 1015, 454, 16216, 264, 476, 272, 476, 273, 476, 277, 476, 275, 476, 280, 476, 274, 476, 278, 476, 279, 476, 276, 454, 6262, 264, 476, 275, 476, 280, 476, 273, 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 ]
[ 2127, 693, 519, 2427, 540, 513, 5757, 4646, 676, 513, 4999, 540, 11761, 543, 18254, 607, 513, 5757, 17160, 563, 288, 9640, 21539, 8032, 10720, 4646, 950, 513, 803, 6387, 18846, 568, 2759, 1055, 563, 8489, 606, 3404, 1532, 578, 10720, 814, 12015, 909, 6028, 519, 1412, 24249, 262, 610, 7291, 540, 519, 2025, 18846, 538, 519, 5251, 563, 4322, 616, 2067, 6659, 8492, 540, 11159, 1336, 2059, 519, 2427, 540, 8933, 454, 763, 23864, 851, 540, 513, 5757, 1141, 6070, 4248, 543, 15195, 2743, 454, 288, 3113, 799, 2982, 875, 5757, 11166, 2242, 538, 3210, 547, 513, 13247, 2680, 563, 763, 5207, 11166, 3254, 454, 763, 5207, 11811, 3254, 454, 763, 942, 1063, 8445, 11811, 543, 8445, 11166, 454, 763, 942, 1063, 8445, 11811, 543, 8445, 11166, 454, 763, 6175, 538, 5757, 11166, 607, 519, 5757, 7024, 547, 3339, 1377, 454, 763, 2179, 540, 1216, 602, 666, 581, 4371, 538, 513, 5757, 8756, 454, 1607, 4386, 950, 8756, 4390, 568, 9765, 543, 1100, 811, 1216, 666, 3514, 538, 519, 5757, 865, 621, 29908, 936, 519, 5011, 563, 16498, 3123, 540, 14700, 454, 1607, 568, 1141, 14700, 4386, 1813, 547, 2067, 2188, 630, 7945, 607, 20569, 267, 8323, 267, 11811, 994, 14549, 3123, 540, 14700, 454, 8489, 519, 2962, 540, 812, 814, 3366, 547, 14700, 910, 552, 3052, 269, 17717, 267, 4683, 5314, 267, 2916, 1689, 267, 909, 543, 1524, 726, 965, 532, 267, 21394, 8840, 563, 8489, 812, 13402, 2497, 616, 1031, 547, 2061, 610, 1852, 2067, 3157, 689, 2921, 1747, 269, 910, 552, 3052, 269, 21394, 454, 14503, 797, 28057, 19305, 454, 2304, 3063, 8756, 3710, 1985, 547, 513, 5757, 547, 31818, 1216, 1472, 1271, 2127, 630, 26773, 7177, 994, 21982, 856, 803, 32752, 547, 1118, 519, 8756, 811, 3608, 630, 26773, 7177, 994, 288, 11064, 8066, 1216, 1394, 538, 513, 13111, 547, 5305, 1216, 538, 513, 6417, 6752, 269, 630, 26773, 7177, 994, 25369, 569, 6659, 8492, 2059, 519, 2427, 540, 519, 5757, 547, 2333, 1761, 4390, 540, 519, 8756, 269, 630, 26773, 7177, 994, 1103, 341, 11510, 15268, 547, 513, 5757, 543, 2324, 609, 2067, 3157, 454, 1607, 14439, 2127, 540, 2244, 799, 616, 1034, 543, 2547, 693, 1981, 540, 14700, 547, 3310, 3664, 609, 14621, 547, 2244, 14025, 4058, 630, 7809, 4702, 994, 5522, 13589, 4054, 538, 513, 12775, 16935, 547, 2333, 954, 4003, 543, 2569, 20359, 630, 7809, 4702, 994, 7230, 8221, 812, 13402, 8060, 593, 513, 5757, 1315, 13059, 621, 547, 922, 2067, 1533, 630, 7809, 4702, 1916, 24168, 631, 20846, 9338, 12569, 22244, 17395, 2483, 305, 1392, 910, 17323, 630, 306, 655, 328, 2347, 994, 16498, 8916, 538, 519, 5177, 268, 5211, 26816, 7498, 294, 17698, 17323, 5757, 8847, 454, 305, 1392, 6206, 16301, 454, 30862, 2207, 10323, 4811, 15760, 24199, 595, 3918, 2969, 3036, 454, 17413, 476, 280, 3213, 6814, 454, 17413, 476, 279, 26439, 3996, 454, 16215, 476, 272, 910, 3213, 6814, 910, 6206, 16301, 630, 288, 304, 288, 23722, 994, 16215, 476, 272, 910, 7849, 2037, 4921, 910, 6206, 2474, 630, 292, 6523, 22438, 7498, 8025, 3041, 590, 4953, 4959, 5508, 307, 2894, 5442, 674, 5357, 291, 8991, 23166, 2483, 16215, 476, 272, 910, 570, 624, 4577, 18171, 1841, 910, 6206, 16301, 630, 288, 304, 288, 23722, 994, 16215, 476, 272, 910, 16661, 18171, 1841, 1299, 8693, 7827, 910, 6206, 1855, 7498, 16215, 476, 273, 910, 12124, 12694, 910, 6206, 2474, 630, 288, 304, 288, 23722, 994, 16215, 476, 273, 910, 12754, 4886, 910, 6206, 16301, 630, 288, 304, 288, 717, 5425, 2507, 0, 2026, 596, 666, 1294, 538, 7612, 476, 274, 563, 16248, 22463, 666, 581, 3989, 281, 9521, 9246, 30735, 923, 538, 3504, 5527, 267, 799, 1419, 1705, 723, 513, 21055, 2078, 1063, 519, 2854, 3090, 543, 519, 1843, 1373, 26518, 267, 519, 6698, 1031, 538, 2413, 4654, 1413, 4986, 899, 519, 1843, 610, 2856, 547, 799, 789, 3277, 563, 1607, 2702, 547, 5311, 1808, 24008, 3947, 20169, 12256, 930, 540, 519, 4909, 6127, 2877, 538, 1931, 547, 1451, 519, 1950, 3919, 540, 513, 1893, 269, 4329, 267, 3662, 2792, 568, 1360, 3908, 543, 19330, 519, 11327, 2298, 540, 1893, 602, 649, 5941, 4505, 563, 763, 3057, 331, 4011, 334, 2494, 568, 606, 11972, 10229, 12835, 602, 14405, 593, 25664, 725, 540, 519, 10800, 24742, 547, 4482, 5561, 269, 7956, 9248, 1331, 8638, 540, 1007, 6863, 1913, 1759, 593, 3446, 7400, 1543, 267, 855, 661, 17247, 1053, 991, 2417, 6863, 6044, 563, 763, 2042, 540, 1893, 616, 10876, 5532, 609, 2797, 267, 1514, 267, 2804, 267, 543, 3872, 2188, 563, 3725, 14428, 19189, 11234, 6898, 538, 2953, 2296, 267, 610, 2307, 519, 2875, 952, 789, 917, 1776, 1259, 547, 2161, 621, 269, 2201, 519, 824, 1688, 267, 2296, 568, 513, 4914, 1893, 585, 1312, 2516, 267, 1317, 972, 568, 1100, 3346, 1063, 918, 6324, 880, 543, 14655, 1004, 609, 2296, 1004, 563, 12626, 568, 849, 4922, 1031, 538, 16444, 20092, 543, 18310, 269, 1323, 13726, 3187, 14553, 267, 519, 1055, 2515, 9920, 540, 513, 13032, 1442, 2319, 729, 1022, 13930, 610, 7649, 563, 7212, 519, 2296, 9275, 538, 3162, 4000, 15320, 538, 930, 24947, 689, 3044, 3703, 2296, 267, 922, 10529, 798, 711, 2543, 519, 1893, 607, 513, 5094, 835, 269, 9105, 1053, 547, 3132, 519, 1893, 538, 1362, 2238, 563, 15812, 2006, 543, 1866, 723, 6069, 602, 1453, 8263, 1913, 547, 3277, 547, 3615, 609, 2147, 3601, 834, 322, 578, 257, 543, 834, 335, 580, 257, 1522, 1312, 581, 834, 534, 7769, 257, 2864, 982, 547, 3615, 602, 616, 873, 5597, 1644, 834, 322, 578, 257, 543, 834, 332, 20488, 257, 616, 4440, 711, 1312, 834, 534, 7769, 8487, 763, 1249, 602, 596, 666, 1491, 513, 2262, 267, 2285, 621, 1776, 2495, 267, 723, 2576, 3116, 3858, 593, 602, 2495, 267, 543, 1287, 946, 519, 2262, 538, 707, 1378, 6752, 5693, 2982, 602, 2495, 568, 538, 1004, 2864, 982, 1913, 269, 769, 930, 8832, 22463, 2178, 13450, 11677, 519, 2025, 2250, 268, 1084, 572, 13737, 3029, 6512, 267, 2909, 330, 267, 535, 663, 267, 838, 752, 585, 3044, 2296, 3029, 3808, 267, 13264, 267, 1336, 267, 543, 12038, 563, 4504, 28558, 18986, 1682, 543, 2285, 1806, 540, 875, 547, 946, 873, 14013, 269, 1703, 568, 1100, 4341, 602, 1004, 723, 547, 5968, 609, 4992, 267, 1256, 609, 2649, 1043, 1913, 563, 302, 326, 6577, 267, 634, 12791, 540, 12791, 5507, 281, 5637, 1913, 12090, 538, 12397, 13665, 267, 543, 1082, 824, 2474, 267, 1631, 14311, 8241, 267, 3357, 6038, 689, 3703, 22463, 269, 4014, 972, 568, 26526, 2370, 6237, 8390, 538, 12332, 2429, 519, 3003, 11782, 267, 972, 568, 1713, 1514, 8390, 563, 23737, 875, 519, 6906, 540, 2495, 6257, 519, 12572, 2470, 540, 1893, 269, 670, 1442, 9116, 540, 1893, 11601, 267, 22228, 7406, 3069, 10818, 531, 626, 23316, 25791, 5872, 626, 3069, 663, 6165, 2861, 1893, 11601, 563, 27645, 540, 2296, 1893, 6267, 1058, 2731, 581, 3384, 519, 5711, 2792, 267, 2542, 267, 6863, 267, 543, 1603, 1983, 540, 741, 1762, 1053, 269, 634, 8239, 786, 1491, 1416, 540, 3294, 269, 3367, 3589, 1043, 2835, 563, 23458, 568, 513, 1062, 602, 5161, 540, 519, 1646, 267, 11601, 267, 5826, 543, 946, 540, 1950, 1949, 540, 2792, 267, 3226, 519, 1480, 2702, 547, 798, 865, 282, 543, 513, 1893, 568, 1022, 1808, 1383, 540, 971, 513, 1062, 563, 763, 3621, 1353, 540, 1893, 568, 1572, 1714, 548, 663, 337, 24108, 2593, 976, 7282, 519, 6138, 540, 1893, 267, 971, 607, 2436, 1913, 666, 2099, 1995, 267, 723, 1044, 23503, 693, 563, 12626, 1893, 910, 7352, 7724, 540, 2296, 281, 634, 28008, 681, 303, 630, 3725, 18727, 25460, 10586, 264, 18575, 1018, 568, 12926, 2808, 519, 3044, 20020, 540, 1004, 2713, 538, 5507, 543, 519, 22703, 540, 4789, 543, 540, 824, 1004, 11992, 945, 3717, 538, 713, 1259, 563, 14641, 568, 519, 1152, 3703, 20020, 602, 814, 1100, 1808, 10923, 30136, 281, 621, 568, 711, 2009, 267, 593, 6217, 2576, 3717, 681, 303, 267, 547, 917, 799, 269, 5678, 11601, 2356, 4016, 547, 1101, 25082, 11601, 267, 799, 2090, 12256, 262, 11601, 540, 741, 5065, 1893, 267, 2436, 602, 581, 9275, 1893, 610, 9896, 1893, 607, 513, 1267, 540, 840, 1782, 783, 18555, 1145, 563, 302, 330, 267, 1934, 568, 1250, 2626, 281, 5678, 568, 1022, 1797, 540, 2792, 593, 799, 513, 1978, 2039, 540, 1004, 666, 3858, 269, 2334, 1797, 2296, 568, 513, 1893, 543, 519, 4191, 543, 27615, 660, 338, 616, 4654, 607, 1134, 563, 288, 1893, 1281, 711, 991, 5022, 543, 2854, 1913, 269, 5822, 1893, 11601, 630, 10193, 1634, 607, 2034, 1893, 1565, 610, 18615, 1893, 11601, 264, 4016, 547, 519, 1184, 676, 799, 513, 1268, 16137, 513, 834, 1150, 793, 257, 1893, 20196, 568, 267, 513, 1893, 824, 982, 1010, 610, 1200, 3993, 11469, 11482, 4833, 607, 513, 1611, 540, 2792, 543, 16565, 519, 7005, 1893, 0, 8505, 1143, 568, 513, 1950, 5778, 2041, 24173, 2783, 602, 2882, 23043, 538, 1514, 5872, 543, 11095, 1893, 543, 2792, 1983, 5916, 609, 14461, 267, 16625, 19326, 269, 5221, 540, 519, 2039, 540, 2589, 267, 713, 2783, 568, 1631, 1572, 20150, 25400, 13081, 630, 32359, 1916, 2005, 6227, 513, 1804, 8552, 540, 2589, 267, 1983, 267, 543, 2157, 540, 15717, 269, 20284, 9832, 538, 10335, 689, 513, 27656, 777, 602, 10169, 7182, 606, 6382, 3339, 1272, 547, 513, 14042, 9659, 602, 949, 2154, 12250, 1416, 563, 4696, 291, 1315, 11838, 568, 519, 1034, 4122, 8995, 2790, 4524, 540, 1453, 269, 23206, 5937, 1030, 7228, 1315, 15214, 13808, 13081, 630, 4696, 8461, 264, 568, 513, 2634, 4524, 6825, 676, 606, 5571, 4806, 540, 538, 3430, 1549, 543, 5924, 30759, 27780, 6160, 2032, 602, 7679, 31013, 609, 8647, 610, 1646, 563, 290, 699, 13887, 25097, 344, 568, 513, 4524, 540, 3350, 267, 4887, 3159, 610, 14302, 602, 568, 3361, 676, 3441, 602, 4386, 547, 519, 1799, 1155, 267, 3384, 2634, 267, 1034, 1419, 1354, 4332, 269, 20050, 543, 2589, 2408, 1282, 26638, 610, 9251, 1296, 563, 1103, 2489, 267, 19548, 25097, 344, 3123, 15176, 3350, 2404, 609, 9402, 16846, 525, 267, 1166, 31463, 1465, 610, 6551, 7190, 540, 519, 17873, 543, 17657, 267, 9402, 14302, 267, 32246, 5322, 267, 13417, 1737, 344, 6972, 267, 610, 930, 4999, 540, 891, 563, 291, 1144, 6794, 849, 1634, 607, 959, 529, 3912, 476, 2641, 267, 568, 513, 4719, 4524, 3361, 676, 519, 4527, 540, 782, 610, 851, 540, 513, 3791, 5299, 540, 15694, 476, 2641, 269, 898, 568, 3335, 2404, 609, 2168, 2208, 17799, 267, 7646, 547, 9793, 7214, 9659, 267, 543, 8984, 11132, 2934, 563, 23458, 30975, 630, 331, 4833, 8488, 264, 568, 513, 1826, 540, 2792, 4524, 269, 2659, 1126, 949, 723, 513, 1893, 8488, 952, 789, 1810, 1406, 2743, 519, 1893, 11095, 19325, 585, 741, 2085, 269, 4256, 1893, 5759, 949, 581, 3384, 693, 513, 14887, 2557, 982, 1034, 1453, 779, 269, 1358, 949, 723, 8373, 11589, 2933, 610, 1620, 1866, 269, 4256, 8488, 949, 4125, 513, 4999, 540, 6217, 267, 4633, 267, 543, 5042, 23043, 563, 13981, 30975, 568, 513, 2783, 602, 666, 2014, 606, 1367, 547, 1995, 2042, 538, 513, 2757, 4928, 1565, 2796, 269, 898, 949, 15936, 609, 7924, 1983, 1646, 543, 2979, 270, 4118, 338, 543, 666, 849, 1860, 3965, 267, 2702, 547, 1445, 543, 10721, 1983, 563, 303, 23177, 543, 623, 13263, 3008, 616, 3968, 14001, 16991, 2175, 602, 7519, 513, 3461, 779, 3339, 11719, 545, 8647, 267, 4611, 538, 513, 6727, 12614, 540, 9866, 612, 633, 3281, 14601, 13081, 630, 302, 7374, 264, 543, 5924, 5179, 512, 923, 563, 303, 23177, 543, 623, 13263, 3008, 666, 1331, 513, 3099, 540, 824, 2589, 971, 607, 30604, 630, 25988, 9993, 1070, 4160, 267, 29338, 267, 30759, 267, 3207, 18063, 267, 7099, 23638, 543, 17256, 2042, 563, 300, 527, 13578, 7434, 3676, 1267, 689, 14286, 540, 519, 26503, 267, 7463, 735, 25902, 1459, 538, 1169, 1591, 540, 519, 1560, 630, 21955, 2699, 1973, 2281, 1916, 300, 527, 13578, 6319, 616, 3743, 585, 2870, 811, 982, 476, 3445, 260, 540, 519, 1648, 2877, 676, 519, 1560, 547, 2844, 1272, 543, 1489, 1418, 1599, 269, 1879, 789, 3111, 267, 1447, 543, 1447, 1648, 568, 6383, 1369, 519, 1591, 269, 8426, 5945, 543, 1256, 1591, 2669, 1246, 269, 1403, 713, 1184, 568, 7368, 2429, 519, 1560, 267, 2898, 1418, 1949, 2253, 547, 3111, 269, 634, 2694, 540, 519, 1560, 267, 971, 607, 519, 2295 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 637, 269, 18461, 519, 2597, 540, 5553, 2250, 1247, 575, 5074, 2390, 891, 15999, 3889, 25517, 538, 8956, 540, 519, 3141, 5601, 14780, 543, 9856, 539, 18979, 569, 676, 519, 590, 874, 514, 343, 267, 4171, 18163, 22401, 14014, 873, 1869, 780, 9961, 713, 3460, 267, 649, 4126, 547, 1128, 650, 1369, 596, 513, 2631, 540, 4898, 543, 7071, 585, 519, 7415, 10781, 540, 9147, 12266, 10340, 269, 1635, 1620, 741, 2528, 267, 9821, 267, 29217, 267, 543, 14286, 267, 649, 2744, 3407, 4030, 883, 8103, 3294, 1107, 22348, 6000, 602, 1256, 9624, 5070, 28323, 543, 13346, 521, 1343, 267, 930, 1919, 2611, 32344, 543, 15851, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 300, 1513, 320, 1325, 600, 543, 20407, 14265, 1047, 4663, 454, 19177, 10117, 2395, 538, 9370, 320, 1325, 600, 543, 20407, 14265, 1047, 12875, 13268, 720, 666, 2661, 596, 538, 23406, 2470, 543, 2070, 513, 32219, 1686, 22993, 538, 4395, 540, 707, 4064, 269, 14970, 519, 2621, 538, 519, 524, 2784, 548, 540, 10340, 267, 1294, 519, 943, 21198, 338, 685, 3527, 267, 543, 741, 2679, 267, 543, 1745, 741, 20339, 269, 1411, 666, 7198, 875, 519, 943, 21198, 338, 4941, 547, 1936, 622, 741, 1686, 998, 7524, 23598, 543, 1390, 943, 4673, 4577, 6189, 538, 3140, 21056, 602, 596, 666, 12446, 693, 998, 519, 24886, 1995, 540, 22892, 563, 30106, 712, 3399, 338, 10573, 300, 1513, 320, 1325, 600, 2008, 30106, 712, 661, 2738, 10573, 300, 1513, 320, 1325, 600, 2008, 30106, 8692, 30991, 10573, 1691, 17963, 1315, 476, 1724, 715, 2074, 2008, 30106, 712, 21145, 10573, 292, 5118, 13488, 1546, 1023, 476, 1708, 274, 270, 1708, 275, 910, 4414, 7256, 32733, 13268, 1137, 2008, 30106, 8692, 27484, 10573, 292, 5118, 12409, 570, 2293, 910, 5527, 6828, 570, 2293, 910, 5527, 20407, 570, 2293, 910, 7731, 674, 7037, 570, 2293, 2008, 18871, 885, 547, 16731, 10573, 290, 23879, 910, 717, 21289, 910, 1306, 9774, 910, 26512, 3244, 10964, 910, 24006, 528, 910, 9370, 320, 1325, 600, 2008, 347, 13510, 9005, 585, 7435, 545, 777, 10573, 8133, 2008, 347, 27026, 12025, 10573, 1015, 547, 476, 1428, 7606, 2008, 16085, 1399, 548, 10573, 4467, 3228, 910, 12409, 910, 17949, 618, 268, 9177, 2008, 268, 4303, 476, 272, 454, 6635, 337, 2526, 693, 9370, 320, 1325, 320, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 26123, 12266, 31511, 257, 607, 851, 540, 834, 28765, 22723, 13493, 1315, 23089, 1315, 4000, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 8950, 17496, 585, 7233, 26263, 19685, 256, 5620, 596, 2479, 9289, 875, 3744, 946, 2029, 547, 948, 7031, 1332, 2178, 543, 2635, 286, 4270, 267, 835, 1259, 789, 798, 713, 568, 998, 1945, 1572, 2030, 4307, 19685, 269, 2913, 781, 2736, 1524, 1018, 602, 1797, 780, 303, 1156, 19685, 568, 950, 3744, 1413, 693, 519, 2168, 7592, 540, 2713, 1919, 630, 3697, 2371, 14386, 547, 1174, 741, 4162, 1732, 269, 5994, 3843, 547, 4766, 707, 1655, 3659, 1107, 7381, 609, 1225, 569, 4552, 543, 14296, 269, 2334, 6609, 2337, 596, 14650, 945, 789, 616, 269, 6684, 267, 2030, 4307, 19685, 3947, 721, 3407, 1344, 827, 2371, 899, 2450, 267, 3337, 267, 2681, 267, 543, 2949, 1072, 780, 3086, 1577, 781, 1039, 5904, 883, 519, 3575, 256, 23675, 666, 1184, 5318, 5666, 540, 1239, 1454, 5488, 982, 3425, 269, 1924, 267, 952, 649, 4001, 5904, 875, 547, 5431, 1114, 2934, 540, 2371, 267, 1287, 3173, 666, 5659, 811, 2371, 3533, 543, 7561, 269, 901, 3532, 1907, 568, 1634, 607, 2780, 5075, 780, 2080, 781, 1141, 621, 4991, 2731, 3579, 281, 1210, 2780, 5075, 585, 2030, 4307, 19685, 2636, 6705, 543, 3744, 547, 1451, 811, 827, 7693, 8677, 267, 5544, 1761, 2152, 2038, 267, 543, 1256, 1020, 1007, 2994, 547, 2087, 6683, 269, 1280, 1383, 267, 4952, 2348, 513, 8773, 602, 1223, 11571, 9343, 2390, 9343, 540, 8970, 26753, 1169, 1554, 269, 1403, 1022, 2042, 8451, 267, 971, 607, 10980, 2566, 610, 11641, 6285, 267, 519, 2780, 1131, 3713, 891, 2242, 5612, 543, 10332, 519, 16027, 269, 2060, 2038, 21855, 267, 6705, 723, 942, 547, 1491, 2962, 1354, 519, 3390, 3587, 1932, 2462, 543, 5540, 741, 3003, 7556, 2439, 5194, 3498, 3322, 4974, 519, 2208, 3270, 540, 1585, 2371, 896, 6417, 2175, 3330, 1382, 6703, 269, 12207, 666, 10502, 2268, 1082, 3344, 540, 1142, 2030, 267, 1519, 922, 4463, 267, 6978, 5086, 267, 3597, 3178, 267, 3092, 1421, 4543, 873, 2697, 1808, 6090, 2404, 609, 14909, 7592, 269, 1452, 8906, 5512, 9742, 619, 547, 1711, 6793, 543, 2182, 1512, 12490, 540, 7031, 9862, 547, 1880, 5054, 267, 4180, 1426, 3354, 5001, 780, 2414, 2040, 909, 267, 3450, 5904, 547, 7747, 543, 4612, 2592, 540, 2371, 814, 8118, 9885, 547, 5499, 4485, 538, 6683, 543, 26216, 269, 1635, 19713, 519, 1379, 540, 2780, 5075, 267, 649, 666, 3986, 2030, 9960, 3646, 267, 11126, 8105, 2853, 267, 543, 2327, 4264, 1426, 2504, 1949, 585, 5481, 547, 2097, 269, 1656, 3314, 910, 782, 713, 5956, 609, 1620, 875, 547, 3927, 4019, 2029, 547, 4194, 1483, 8996, 2591, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 14367, 7824, 3361, 2663, 4389, 585, 15742, 4640, 4262, 267, 2901, 267, 607, 621, 1476, 619, 856, 269, 898, 568, 1305, 538, 519, 4719, 8711, 267, 602, 972, 568, 849, 513, 4165, 604, 25193, 11646, 827, 519, 16023, 540, 519, 5108, 267, 689, 799, 649, 949, 4922, 4125, 606, 9194, 267, 2094, 649, 3112, 2705, 581, 1018, 711, 1482, 513, 2011, 972, 1058, 1294, 540, 971, 606, 10412, 607, 713, 267, 2372, 617, 21941, 29436, 1815, 4722, 338, 513, 4006, 561, 684, 600, 2068, 4945, 3262, 267, 602, 519, 2043, 2968, 1759, 543, 4956, 676, 519, 2553, 602, 4389, 519, 11810, 269, 5985, 1353, 602, 519, 1344, 543, 834, 1684, 1657, 519, 5946, 799, 2769, 1657, 519, 1318, 607, 513, 5311, 547, 10891, 519, 2371, 543, 4966, 538, 24536, 1040, 1152, 1310, 20266, 15258, 1185, 909, 9182, 267, 1018, 20402, 646, 4283, 286, 1152, 1586, 865, 649, 1246, 4864, 324, 20266, 15258, 267, 12832, 7637, 23592, 543, 661, 269, 7812, 13643, 9985, 21467, 343, 12304, 538, 519, 6671, 7824, 2648, 593, 519, 267, 519, 1646, 1394, 29589, 532, 513, 21453, 571, 543, 22516, 538, 519, 6426, 543, 519, 9114, 340, 540, 938, 1062, 269, 2081, 2015, 1985, 267, 1906, 267, 543, 12166, 887, 739, 338, 269, 901, 4783, 579, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 20663, 17496, 585, 7233, 26263, 19685, 257, 607, 851, 540, 834, 31900, 1299, 22957, 1315, 11982, 1315, 32645, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 769, 519, 2295, 540, 14297, 26285, 826, 267, 972, 729, 513, 1507, 6204, 1597, 597, 6300, 3957, 834, 290, 14864, 7066, 9778, 1701, 634, 8227, 267, 6004, 269, 8734, 752, 267, 729, 606, 11361, 812, 945, 3576, 1390, 11348, 538, 1010, 4015, 540, 29586, 13492, 267, 2757, 24853, 267, 543, 2189, 959, 1074, 1115, 269, 1261, 1185, 513, 2186, 12837, 543, 2141, 30870, 1010, 5561, 609, 513, 3636, 834, 291, 984, 787, 3954, 10590, 630, 14187, 1554, 256, 2020, 3080, 13566, 12784, 267, 1079, 1977, 14666, 910, 808, 10154, 267, 513, 10004, 1399, 21717, 267, 543, 1200, 1989, 17056, 22516, 267, 6004, 269, 16399, 910, 15336, 883, 519, 4558, 269, 808, 10154, 729, 19832, 676, 519, 10477, 4837, 2264, 1247, 6004, 269, 16399, 781, 4064, 941, 593, 606, 25447, 17927, 4585, 269, 8528, 16031, 269, 8734, 752, 8068, 873, 8098, 3931, 519, 3688, 269, 2060, 513, 1000, 30257, 538, 1010, 3750, 267, 646, 1767, 267, 834, 25105, 267, 596, 723, 5140, 6492, 256, 8409, 4425, 1335, 1014, 12627, 642, 1162, 1131, 1413, 4190, 538, 1022, 1753, 267, 1175, 899, 602, 21305, 17927, 4585, 1131, 9290, 2576, 2027, 3010, 297, 10154, 4280, 8049, 569, 267, 834, 1692, 1454, 798, 891, 1942, 8119, 1677, 799, 6004, 269, 8734, 752, 14452, 267, 834, 11039, 267, 15210, 267, 789, 5749, 1405, 10464, 855, 6157, 4502, 1169, 29784, 269, 10251, 267, 594, 1810, 1405, 3398, 4914, 9304, 610, 5491, 6486, 269, 8307, 16231, 31704, 10044, 3010, 11514, 1952, 31212, 267, 6004, 269, 16399, 4573, 339, 1229, 267, 834, 2171, 4769, 1405, 5385, 2614, 2724, 693, 519, 19633, 1701, 22628, 741, 29359, 267, 6004, 269, 8734, 752, 6700, 948, 2685, 267, 834, 2467, 781, 513, 4871, 1472, 519, 7944, 1141, 596, 1223, 1689, 930, 9489, 883, 737, 528, 684, 553, 3010, 5475, 513, 2110, 4901, 267, 789, 4956, 621, 729, 4502, 27300, 930, 2724, 269, 1306, 789, 2451, 267, 6004, 269, 16399, 5828, 1394, 543, 4280, 267, 834, 12663, 596, 1869, 581, 1934, 950, 649, 2132, 8119, 3911, 4979, 267, 6004, 269, 8734, 752, 21407, 1864, 267, 834, 8170, 1576, 256, 901, 568, 1250, 17612, 282, 594, 9327, 1405, 4734, 621, 796, 3430, 2105, 3010, 2691, 789, 8120, 1310, 827, 8938, 3764, 267, 789, 1336, 519, 7450, 19526, 269, 10658, 3960, 1194, 267, 789, 6743, 3330, 543, 4718, 6004, 269, 8734, 752, 9361, 1524, 267, 16889, 269, 21150, 1551, 21724, 267, 808, 10154, 530, 8491, 693, 1864, 998, 519, 6885, 269, 654, 1136, 909, 689, 1010, 23040, 267, 6004, 269, 8734, 752, 3533, 8118, 519, 7450, 780, 14503, 755, 1229, 267, 646, 23294, 1242, 267, 834, 2690, 326, 633, 803, 267, 594, 4769, 1405, 2503, 596, 865, 4166, 269, 7490, 2097, 538, 1701, 4495, 27206, 1586, 267, 808, 10154, 7948, 1405, 5706, 6998, 267, 834, 310, 699, 596, 12008, 8119, 2060, 513, 669, 22976, 267, 6004, 269, 8734, 752, 15861, 267, 834, 8133, 267, 594, 3006, 1491, 2110, 562, 2355, 1282, 3500, 3108, 3010, 5445, 6192, 741, 6718, 267, 6028, 25747, 609, 741, 1007, 4203, 29792, 269, 1809, 1354, 6028, 267, 808, 10154, 19942, 936, 930, 10690, 11113, 1352, 1185, 6394, 1282, 741, 7552, 269, 2701, 1767, 17869, 1176, 267, 834, 2080, 267, 649, 1616, 547, 2285, 891, 547, 596, 607, 1134, 3010, 19185, 11821, 267, 6004, 269, 8734, 752, 3323, 10203, 519, 11113, 269, 22582, 267, 20185, 546, 1177, 2740, 593, 1864, 269, 1452, 14201, 1405, 8723, 11113, 282, 789, 941, 4686, 2445, 1043, 21797, 689, 1114, 2477, 256, 29110, 3481, 676, 741, 2219, 6888, 267, 646, 9684, 539, 873, 1527, 2224, 569, 780, 1607, 10071, 6026, 6004, 269, 16399, 513, 3407, 3992, 827, 32198, 1866, 1932, 3533, 269, 1656, 808, 10154, 4121, 602, 11587, 267, 1256, 538, 1507, 17267, 267, 666, 3142, 10373, 7772, 269, 3245, 1287, 593, 267, 8164, 789, 14612, 267, 789, 1500, 2386, 547, 4163, 2199, 11113, 547, 2671, 609, 6300, 26283, 267, 2870, 12300, 4296, 2059, 519, 1259, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 2108, 9558, 17218, 519, 1739, 4845, 547, 16231, 912, 24876, 721, 707, 11113, 563, 272, 269, 10576, 519, 1292, 3334, 538, 519, 2707, 4845, 281, 634, 1292, 3334, 616, 834, 24876, 2580, 834, 639, 2580, 834, 20365, 2580, 543, 834, 23915, 8487, 273, 269, 14419, 519, 3617, 16231, 6863, 585, 1142, 5057, 281, 634, 6697, 16231, 6863, 616, 834, 5719, 329, 2580, 834, 333, 5451, 332, 2580, 834, 339, 17383, 16660, 257, 543, 834, 332, 1550, 8487, 274, 269, 15233, 519, 2953, 8239, 281, 769, 16231, 267, 519, 8231, 1419, 2501, 1101, 538, 513, 4845, 269, 634, 4845, 666, 1287, 581, 4646, 607, 834, 5719, 329, 562, 5451, 332, 512, 17383, 16660, 1295 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2410, 275, 348, 562, 815, 1422, 2765, 346, 278, 2410, 1015, 28021, 866, 269, 6695, 2765, 346, 327, 2410, 6629, 274, 6525, 815, 6567, 279, 454, 736, 269, 586, 6567, 476, 278, 269, 11025, 815, 6567, 1626, 692, 2971, 3690, 17218, 547, 606, 17817, 543, 16534, 692, 1103, 519, 1739, 5751, 267, 14377, 543, 4194, 780, 272, 269, 634, 3017, 540, 562, 543, 476, 272, 269, 280, 568, 476, 274, 269, 275, 563, 273, 269, 634, 3017, 562, 543, 476, 272, 269, 276, 568, 476, 271, 269, 279, 563, 274, 269, 634, 1587, 540, 6567, 277, 269, 273, 543, 1535, 568, 6567, 275, 269, 9834, 563, 275, 269, 634, 1587, 540, 6567, 275, 269, 277, 543, 1535, 568, 6567, 274, 269, 2420, 563, 276, 269, 634, 23479, 540, 586, 543, 6567, 272, 269, 278, 568, 6567, 276, 563, 277, 269, 634, 23479, 540, 1990, 543, 6567, 274, 269, 277, 568, 476, 274, 563, 278, 269, 634, 2040, 540, 562, 543, 6567, 278, 269, 274, 568, 476, 273, 269, 275, 563, 279, 269, 634, 2040, 540, 562, 543, 6567, 276, 269, 272, 568, 476, 274, 269, 279, 780, 2162, 28064, 4569, 692, 272, 269, 1744, 11921, 11751, 513, 6292, 540, 10887, 593, 9042, 585, 1269, 4281, 269, 16534, 519, 3830, 476, 271, 269, 4037, 335, 815, 476, 4281, 547, 1265, 519, 3312, 3902, 540, 519, 10887, 267, 533, 269, 476, 273, 269, 6307, 11751, 513, 1007, 21067, 269, 634, 2698, 3902, 1519, 6455, 3454, 729, 259, 272, 267, 12573, 269, 4855, 519, 10685, 3902, 267, 678, 267, 540, 519, 21067, 1354, 3454, 676, 6061, 519, 3830, 476, 272, 269, 5400, 337, 815, 476, 272, 267, 12573, 780, 2162, 5675, 20113, 692, 272, 269, 6056, 827, 6061, 519, 3830, 476, 272, 269, 273, 344, 815, 476, 2568, 267, 855, 798, 711, 2965, 4194, 621, 269, 1684, 596, 1589, 519, 3070, 1058, 581, 3152, 982, 476, 2568, 610, 1447, 982, 476, 2568, 286, 11512, 707, 7744, 269, 3973, 4194, 519, 3830, 547, 1294, 952, 707, 3206, 729, 2953, 563, 273, 269, 6056, 827, 6061, 519, 3830, 476, 271, 269, 279, 343, 815, 476, 1220, 267, 855, 798, 711, 2965, 4194, 621, 269, 1684, 596, 1589, 519, 3070, 1058, 581, 3152, 982, 476, 1220, 610, 1447, 982, 476, 1220, 286, 11512, 707, 7744, 269, 3973, 4194, 519, 3830, 547, 1294, 952, 707, 3206, 729, 2953, 780, 2162, 8682, 6744, 692, 5416, 264, 2991, 11264, 519, 5751, 267, 946, 713, 24920, 547, 6218, 707, 17117, 540, 519, 6859, 540, 713, 3296, 780, 6357, 264, 2201, 513, 4336, 540, 476, 272, 1700, 1015, 267, 875, 1131, 596, 2557, 707, 17117, 540, 713, 3296, 538, 1769, 540, 707, 6114, 593, 519, 24920, 286, 1215, 666, 596, 2087, 713, 286, 0, 258, 634, 10025, 540, 18000, 476, 1015, 4113, 18000, 476, 1428, 4113, 18000, 476, 4037, 4113, 18000, 476, 3199, 4113, 568, 910, 9119, 692, 30555, 692, 763, 1871, 540, 16009, 476, 1015, 4113, 16009, 476, 1428, 4113, 16009, 476, 4037, 4113, 16009, 476, 3199, 4113, 568, 692, 2971, 18169, 692, 1892, 6567, 272, 692, 1892, 476, 271, 692, 1892, 476, 272, 692, 1892, 7183, 540, 891, 692, 2971, 8827, 692, 2080, 649, 723, 547, 1265, 281, 476, 16009, 476, 1015, 4113, 16009, 476, 1428, 4113, 16009, 4037, 4113, 16009, 476, 3199, 4113, 692, 3086, 692, 11927, 476, 1015, 4113, 16009, 476, 1428, 4113, 16009, 4037, 4113, 16009, 476, 3199, 4113, 692, 284, 11927, 630, 3445, 4113, 268, 3199, 4113, 264, 16009, 630, 3445, 4113, 268, 4037, 4113, 264, 16009, 476, 3199, 4113, 692, 284, 28422, 476, 3199, 4113, 28422, 476, 4037, 4113, 16009, 476, 4037, 4113, 16009, 476, 3199, 4113, 692, 14352, 20799, 476, 3199, 4113, 16009, 476, 3199, 4113, 7565, 20799, 476, 4037, 4113, 16009, 476, 4037, 4113, 2020, 284, 272, 16282, 272, 1109, 14632, 30336, 1109, 314, 834, 26238, 257, 28422, 16564, 1109, 16009, 15184, 815, 272, 6540, 284, 476, 272, 692, 3674, 972, 606, 5470, 538, 713, 2243, 610, 3070, 2496, 2971, 6673, 14154, 12678, 5442, 692, 31686, 1744, 12609, 4147, 476, 1015, 13174, 454, 6637, 476, 1015, 26344, 6248, 13158, 3930, 454, 304, 476, 2641, 1923, 8525, 476, 6812, 0, 258, 3848, 476, 277, 16748, 5314, 540, 10789, 545, 25285, 28251, 1744, 12609, 10298, 11644, 476, 277, 269, 274, 4147, 476, 280, 13174, 692, 3848, 8745, 28251, 1744, 12609, 3848, 476, 277, 16748, 5314, 540, 27155, 338, 11644, 476, 277, 269, 274, 3883, 8745, 28251, 1744, 12609, 9119, 585, 4147, 476, 1015, 4033, 20113, 11644, 476, 277, 269, 272, 19865, 476, 277, 269, 273, 19865, 476, 277, 269, 275, 19865, 476, 277, 269, 276, 13565, 5530, 19436, 10298, 585, 4147, 476, 1015, 13174, 692, 2162, 11644, 476, 277, 269, 274, 10298, 692, 1103, 1142, 540, 519, 1739, 267, 1210, 519, 14230, 11532, 267, 1265, 519, 14230, 950, 535, 3287, 264, 568, 5258, 676, 575, 3287, 264, 543, 13182, 519, 1267, 676, 4890, 6498, 2433, 630, 272, 910, 476, 279, 2020, 272, 269, 535, 3287, 264, 815, 1535, 274, 1109, 266, 476, 275, 343, 273, 1109, 268, 476, 274, 343, 1341, 476, 1015, 267, 575, 3287, 264, 815, 1535, 1341, 476, 275, 692, 11405, 692, 2171, 723, 535, 3287, 264, 815, 1535, 274, 1109, 266, 476, 275, 343, 273, 1109, 268, 476, 274, 343, 1341, 476, 1015, 267, 575, 3287, 264, 815, 1535, 1341, 476, 275, 454, 11997, 267, 676, 14230, 11532, 950, 535, 3287, 264, 568, 5258, 676, 575, 3287, 264, 815, 1535, 910, 11196, 476, 275, 1070, 519, 14230, 568, 3160, 547, 535, 8987, 275, 2020, 273, 269, 535, 3287, 264, 815, 476, 275, 343, 275, 1109, 268, 476, 274, 343, 274, 1109, 268, 476, 273, 343, 273, 1109, 266, 1535, 910, 476, 278, 267, 575, 3287, 264, 815, 1535, 910, 476, 272, 692, 11405, 692, 2171, 723, 2676, 325, 3287, 264, 815, 476, 275, 343, 275, 1109, 268, 476, 274, 343, 274, 1109, 268, 476, 273, 343, 273, 1109, 266, 1535, 910, 476, 278, 267, 543, 575, 3287, 264, 815, 1535, 910, 476, 272, 454, 11997, 676, 14230, 11532, 950, 535, 3287, 264, 568, 7941, 676, 575, 3287, 264, 815, 1535, 910, 476, 272, 267, 1109, 519, 14230, 568, 3160, 547, 535, 263, 266, 272, 2020, 274, 269, 535, 3287, 264, 815, 476, 273, 343, 275, 1109, 268, 476, 277, 343, 274, 1109, 266, 476, 273, 343, 273, 1109, 268, 1535, 1341, 476, 273, 267, 575, 3287, 264, 815, 1535, 1341, 476, 273, 454, 11405, 454, 2171, 723, 2676, 325, 3287, 264, 815, 476, 273, 343, 275, 1109, 268, 476, 277, 343, 274, 1109, 266, 476, 273, 343, 273, 1109, 268, 1535, 1341, 476, 273, 267, 543, 1109, 575, 3287, 264, 815, 1535, 1341, 476, 273, 454, 11997, 267, 676, 14230, 11532, 950, 535, 3287, 264, 568, 7941, 676, 575, 3287, 264, 815, 1535, 910, 11196, 273, 1070, 519, 14230, 568, 3160, 547, 535, 8987, 273, 2020, 275, 269, 535, 3287, 264, 815, 476, 275, 343, 274, 1109, 268, 476, 1321, 343, 274, 1109, 266, 476, 1691, 343, 910, 476, 274, 267, 575, 3287, 264, 815, 476, 273, 343, 910, 476, 272, 454, 11405, 454, 2171, 723, 454, 325, 3287, 264, 815, 476, 275, 343, 274, 1109, 268, 476, 1321, 343, 274, 1109, 266, 476, 1691, 343, 910, 476, 274, 267, 543, 1109, 575, 3287, 264, 815, 476, 273, 343, 910, 476, 272, 454, 11997, 267, 676, 14230, 11532, 950, 535, 3287, 264, 568, 7941, 676, 575, 3287, 264, 815, 476, 273, 20572, 910, 476, 272, 270, 273, 3910, 519, 14230, 568, 3160, 547, 535, 263, 272, 270, 273, 2020, 276, 269, 535, 3287, 264, 815, 1535, 274, 1109, 268, 476, 277, 343, 274, 1109, 266, 476, 273, 343, 910, 476, 275, 267, 575, 3287, 264, 815, 476, 272, 910, 476, 273, 343, 454, 11405, 454, 2171, 723, 454, 325, 3287, 264, 815, 1535, 274, 1109, 268, 476, 277, 343, 274, 1109, 266, 476, 273, 343, 910, 476, 275, 267, 543, 575, 3287, 264, 815, 476, 272, 910, 476, 273, 343, 454, 11997, 267, 676, 14230, 11532, 950, 535, 3287, 264, 568, 5258, 676, 575, 3287, 264, 815, 910, 273, 3287, 910, 476, 272, 270, 273, 1070, 519, 14230, 568, 3160, 547, 535, 263, 272, 270, 273, 2020, 277, 269, 535, 3287, 264, 815, 1535, 274, 1109, 268, 476, 274, 343, 274, 1109, 266, 476, 275, 267, 575, 3287, 264, 815, 1535, 910, 476, 273, 454, 11405, 454, 2171, 723, 454, 325, 3287, 264, 815, 1535, 274, 1109, 268, 476, 274, 343, 274, 1109, 266, 476, 275, 267, 543, 575, 3287, 264, 815, 1535, 910, 476, 273, 454, 11997, 267, 676, 14230, 11532, 950, 535, 3287, 264, 568, 5258, 676, 575, 3287, 264, 815, 1535, 910, 476, 273, 267, 519, 14230, 568, 3160, 547, 535, 263, 273, 2020, 278, 269, 535, 3287, 264, 815, 476, 280, 343, 274, 1109, 268, 476, 274, 343, 274, 1109, 266, 1535, 910, 476, 276, 267, 575, 3287, 264, 815, 1535, 910, 476, 273, 270, 274, 454, 11405, 454, 2171, 723, 454, 325, 3287, 264, 815, 476, 280, 343, 274, 1109, 268, 476, 274, 343, 274, 1109, 266, 1535, 910, 476, 276, 267, 543, 575, 3287, 264, 815, 1535, 910, 476, 273, 270, 274, 454, 11997, 267, 676, 14230, 11532, 950, 535, 3287, 264, 568, 5258, 676, 575, 3287, 264, 815, 1535, 910, 476, 273, 270, 274, 267, 519, 14230, 568, 3160, 547, 535, 263, 273, 270, 274, 2020, 279, 269, 535, 3287, 264, 815, 476, 274, 343, 274, 1109, 266, 476, 273, 343, 274, 1109, 268, 1535, 274, 270, 274, 910, 1535, 270, 280, 1341, 476, 273, 270, 2767, 267, 575, 3287, 264, 815, 1535, 266, 476, 273, 270, 274, 454, 11405, 454, 2171, 723, 10484, 280, 269, 1403, 519, 21335, 476, 273, 343, 274, 1109, 266, 4949, 273, 1109, 266, 476, 274, 343, 910, 476, 276, 543, 1535, 274, 1109, 266, 1535, 273, 1109, 268, 275, 343, 1341, 513, 4734, 519, 1482, 14230, 950, 5258, 676, 1535, 910, 476, 273, 267, 1265, 519, 1871, 540, 513, 563, 11405, 454, 4131, 533, 3287, 264, 815, 476, 273, 343, 274, 1109, 266, 4949, 273, 1109, 266, 476, 274, 343, 910, 476, 276, 543, 7117, 3287, 264, 815, 1535, 274, 1109, 266, 1535, 273, 1109, 268, 476, 275, 343, 1341, 513, 581, 519, 2016, 21335, 454, 763, 2611, 10249, 950, 533, 3287, 264, 543, 7117, 3287, 264, 616, 5258, 676, 630, 343, 910, 476, 273, 264, 616, 533, 263, 273, 264, 543, 7117, 263, 273, 264, 6606, 563, 3528, 519, 2016, 2783, 649, 723, 692, 1015, 269, 634, 21335, 4949, 274, 1109, 266, 476, 274, 343, 273, 1109, 268, 476, 274, 543, 476, 273, 343, 274, 1109, 268, 476, 276, 343, 1341, 513, 950, 5258, 676, 630, 343, 910, 476, 275, 264, 4734, 519, 14230, 681, 272, 543, 681, 273, 6606, 269, 4855, 519, 2418, 540, 513, 538, 1142, 540, 519, 1739, 2665, 267, 952, 454, 9217, 264, 681, 272, 1109, 284, 681, 273, 454, 23870, 264, 681, 272, 1109, 266, 681, 273, 1109, 284, 476, 271, 454, 31702, 264, 476, 273, 305, 272, 1109, 266, 681, 273, 1109, 284, 476, 271, 454, 11405, 692, 1556, 269, 1403, 519, 21335, 4949, 274, 1109, 266, 476, 274, 343, 273, 1109, 268, 476, 1724, 543, 476, 273, 343, 274, 1109, 268, 476, 276, 343, 1341, 513, 267, 950, 5258, 676, 630, 343, 910, 476, 273, 264, 4734, 519, 1482, 14230, 267, 1265, 519, 1871, 540, 513, 563, 11405, 0, 17954, 1136, 5240, 454, 12709, 1315, 4284, 545, 585, 589, 1377, 1299, 29031, 10933, 1315, 1215, 547, 4194, 2055, 593, 5951, 5163, 692, 258, 1215, 547, 4194, 2055, 593, 5951, 5163, 692, 304, 272, 692, 11693, 519, 11636, 5951, 3830, 346, 7473, 10933, 476, 1220, 279, 10926, 20412, 622, 519, 15423, 563, 288, 269, 476, 1321, 269, 275, 332, 29894, 14632, 476, 1741, 645, 269, 476, 1428, 269, 278, 332, 3396, 1109, 14632, 30336, 1741, 595, 269, 476, 1704, 269, 276, 332, 29894, 14632, 7545, 30336, 1741, 667, 269, 476, 1240, 269, 277, 332, 692, 11405, 692, 6748, 519, 5951, 3830, 692, 4818, 732, 713, 5951, 3830, 609, 519, 835, 2016, 538, 519, 2243, 692, 298, 568, 519, 5123, 3017, 692, 289, 568, 519, 2953, 4781, 692, 304, 273, 692, 2252, 513, 1769, 5951, 814, 513, 15423, 540, 476, 4335, 333, 332, 538, 2011, 267, 1018, 568, 519, 4908, 540, 519, 5951, 286, 346, 7473, 10933, 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, 21844, 372, 364, 423, 367, 372, 10563, 510, 499, 423, 367, 368, 14091, 491, 364, 27338, 425, 482, 364, 10563, 510, 478, 28990, 354, 17432, 502, 422, 372, 364, 454, 3698, 1711, 318, 16769, 16360, 6865, 2187, 825, 9623, 815, 2715, 289, 6865, 314, 271, 6012, 271, 13912, 645, 6865, 314, 272, 6012, 271, 3910, 645, 6865, 314, 271, 6012, 272, 13912, 645, 6865, 314, 272, 6012, 272, 3910, 645, 6865, 314, 271, 6012, 273, 13912, 645, 6865, 314, 272, 6012, 273, 316, 8679, 825, 2132, 9623, 692, 258, 9517, 14091, 491, 364, 27338, 425, 482, 364, 424, 503, 478, 19405, 14091, 491, 364, 27338, 425, 482, 364, 423, 497, 353, 14602, 482, 14091, 355, 361, 424, 488, 353, 425, 488, 372, 423, 350, 506, 10563, 510, 478, 28990, 354, 17432, 502, 422, 372, 364, 454, 3698, 1711, 12774, 16360, 6865, 2187, 825, 1592, 318, 2839, 815, 11713, 825, 1592, 318, 591, 815, 11713, 825, 6241, 815, 476, 276, 454, 825, 1592, 5091, 601, 815, 11713, 825, 2119, 912, 1038, 1247, 6241, 13843, 476, 276, 543, 7003, 17338, 318, 2839, 264, 10922, 7003, 16360, 6865, 314, 272, 281, 6012, 275, 281, 8079, 543, 7003, 17338, 318, 591, 264, 10922, 7003, 16360, 6865, 314, 272, 281, 6012, 275, 281, 316, 2187, 2018, 1592, 318, 2839, 6910, 19304, 16360, 6865, 314, 272, 6012, 26383, 28413, 2018, 1592, 318, 591, 6910, 19304, 16360, 6865, 314, 273, 6012, 26383, 28413, 2018, 6241, 6834, 476, 272, 454, 825, 4849, 630, 19368, 13286, 267, 6206, 13286, 2187, 1038, 1780, 692, 825, 585, 4994, 538, 2039, 12759, 17338, 318, 2839, 15892, 1038, 1948, 14091, 366, 482, 32510, 482, 14091, 363, 372, 28990, 483, 423, 510, 354, 424, 489, 506, 21844, 366, 377, 422, 367, 510, 423, 361, 372, 10563, 370, 506, 423, 510, 354, 454, 1038, 952, 1592, 318, 2839, 27709, 316, 2652, 1592, 318, 591, 27709, 14158, 2018, 1592, 5091, 601, 6910, 263, 8161, 994, 1038, 8640, 1592, 318, 2839, 27709, 316, 2652, 834, 13426, 2018, 1820, 2891, 260, 338, 14091, 366, 482, 32510, 482, 14602, 372, 10563, 507, 368, 423, 355, 482, 27338, 10563, 508, 483, 423, 510, 354, 423, 494, 502, 424, 356, 478, 10563, 499, 488, 424, 499, 502, 424, 488, 369, 21498, 486, 30319, 1701, 4939, 1592, 318, 591, 27709, 7481, 1038, 8640, 1592, 318, 591, 27709, 316, 2652, 834, 13426, 2018, 1820, 2891, 260, 338, 14602, 502, 14091, 366, 482, 32510, 482, 27338, 10563, 508, 483, 423, 510, 354, 423, 494, 502, 424, 356, 478, 10563, 499, 488, 424, 499, 502, 424, 488, 369, 21498, 486, 30319, 1701, 4939, 1592, 318, 2839, 27709, 7481, 1038, 4994, 6834, 476, 272, 692, 825, 1592, 5091, 601, 18622, 2091, 4590, 825, 585, 18419, 538, 1592, 5091, 601, 912, 1038, 1642, 1592, 318, 2839, 314, 1372, 8541, 2639, 1038, 1642, 1592, 318, 591, 314, 1372, 8541, 2639, 825, 2132, 2715, 257, 4289, 318, 2839, 9899, 1592, 318, 2839, 267, 834, 4289, 318, 591, 9899, 1592, 318, 591, 8679, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 32046, 593, 6129, 7325, 476, 476, 279, 476, 6349, 281, 6187, 281, 1691, 476, 1001, 279, 692, 287, 10461, 281, 24883, 21469, 454, 12163, 320, 8266, 815, 22373, 20625, 2580, 834, 13906, 2580, 834, 27594, 2580, 834, 3316, 3570, 257, 6540, 3698, 1447, 1320, 534, 275, 5416, 8266, 2187, 825, 23288, 825, 513, 8266, 281, 513, 1592, 540, 12673, 454, 825, 23288, 825, 1267, 815, 11713, 825, 585, 7127, 538, 513, 8266, 912, 1038, 952, 7003, 263, 18782, 264, 2999, 476, 275, 912, 2018, 1267, 6910, 263, 18782, 994, 825, 2132, 1267, 454, 1363, 19638, 2745, 263, 1652, 1320, 534, 275, 5416, 8266, 4297, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 32046, 593, 774, 340, 7325, 476, 866, 476, 2420, 281, 6795, 281, 7871, 476, 1001, 279, 692, 287, 10461, 281, 24883, 21469, 454, 12163, 258, 5035, 1849, 1442, 24998, 2187, 258, 825, 1219, 6449, 8181, 9191, 1345, 267, 942, 2187, 258, 1038, 1582, 28333, 815, 942, 454, 258, 825, 1219, 1820, 22710, 4311, 2187, 258, 1038, 942, 815, 1412, 277, 281, 1789, 7055, 258, 1038, 1820, 4311, 28333, 994, 16482, 258, 22018, 815, 1849, 1442, 3488, 276, 281, 1789, 5073, 258, 22018, 31428, 22710, 10797, 258, 5035, 1284, 2273, 24998, 2187, 258, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 267, 586, 2567, 3097, 258, 1038, 1582, 13885, 815, 586, 454, 258, 1038, 1582, 11859, 815, 1535, 454, 258, 825, 1219, 1205, 311, 4311, 2187, 258, 1038, 2132, 1535, 3097, 258, 825, 1219, 1205, 312, 4311, 2187, 258, 1038, 2132, 586, 454, 16482, 258, 5035, 8187, 24998, 2187, 258, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 267, 586, 2567, 3097, 258, 1038, 1582, 13885, 815, 586, 454, 258, 1038, 1582, 11859, 815, 1535, 454, 258, 825, 1219, 1205, 311, 4311, 2187, 258, 1038, 2132, 1582, 11859, 3097, 258, 825, 1219, 1205, 312, 4311, 2187, 258, 1038, 2132, 1582, 13885, 454, 16482, 258, 311, 815, 476, 278, 454, 258, 312, 815, 476, 279, 692, 258, 5035, 703, 13729, 24998, 2187, 258, 825, 5727, 2304, 703, 13729, 568, 513, 1305, 540, 9981, 454, 258, 825, 634, 1871, 568, 6719, 676, 513, 1592, 540, 703, 338, 267, 1582, 269, 10094, 563, 258, 825, 3962, 703, 538, 519, 1305, 4386, 538, 1582, 269, 10094, 4010, 2899, 27969, 454, 16482, 258, 825, 1219, 6449, 8181, 9191, 1345, 2187, 258, 1038, 5727, 8620, 606, 8900, 1305, 540, 9981, 12163, 258, 1038, 1582, 269, 10094, 815, 11713, 16482, 258, 825, 1219, 7696, 4311, 267, 552, 2187, 258, 1038, 5727, 10112, 6979, 552, 568, 606, 8870, 543, 7696, 338, 552, 883, 1582, 18851, 3097, 258, 1038, 952, 711, 552, 538, 1582, 269, 10094, 912, 258, 2018, 1582, 269, 10094, 6910, 16216, 994, 16482, 258, 825, 1219, 4759, 4311, 267, 552, 2187, 258, 1038, 5727, 10112, 6979, 552, 568, 606, 8870, 454, 258, 19930, 16849, 6936, 952, 552, 568, 538, 1582, 267, 543, 8771, 6382, 12163, 258, 1038, 2132, 552, 538, 1582, 269, 10094, 454, 16482, 258, 825, 1219, 4894, 4311, 267, 552, 2187, 258, 1038, 5727, 10112, 6979, 552, 568, 606, 8870, 543, 18788, 552, 689, 1582, 454, 258, 19930, 14780, 2478, 28759, 952, 552, 568, 711, 538, 1582, 12163, 258, 1038, 2119, 912, 258, 2018, 1582, 269, 10094, 31927, 16216, 994, 258, 1038, 4849, 912, 258, 2018, 6318, 28759, 19304, 16216, 264, 1341, 1412, 711, 1336, 5073, 258, 8931, 258, 825, 1219, 12969, 4311, 267, 824, 2187, 258, 1038, 759, 815, 703, 13729, 4590, 258, 1038, 585, 1130, 538, 1582, 269, 10094, 912, 258, 2018, 952, 1130, 538, 824, 269, 10094, 912, 258, 3546, 759, 27044, 263, 1998, 994, 258, 1038, 2132, 759, 454, 16482, 258, 825, 1219, 6449, 1598, 9191, 1345, 2187, 258, 1038, 5727, 14303, 5281, 513, 5569, 6041, 540, 1582, 12163, 258, 1038, 1582, 269, 10094, 31699, 4590, 258, 1038, 2132, 1412, 346, 262, 1341, 22207, 8339, 21860, 8443, 1598, 16216, 264, 585, 552, 538, 1582, 269, 10094, 8079, 1341, 1412, 348, 7055, 258, 8931, 258, 825, 1219, 6449, 6352, 9191, 1345, 2187, 258, 1038, 1293, 815, 476, 271, 454, 258, 1038, 585, 1130, 538, 1582, 269, 10094, 912, 258, 2018, 1293, 6834, 476, 272, 454, 258, 1038, 2132, 1293, 454, 16482, 258, 3553, 288, 815, 703, 13729, 4590, 28744, 263, 3553, 288, 994, 258, 3553, 289, 815, 703, 13729, 4590, 28744, 263, 3553, 289, 2020, 258, 5035, 1975, 749, 24998, 2187, 258, 825, 1219, 6449, 8181, 9191, 1345, 267, 1651, 656, 566, 267, 2012, 2187, 258, 1038, 1582, 20508, 815, 2012, 454, 258, 1038, 1582, 269, 4532, 656, 566, 815, 1651, 656, 566, 454, 16482, 258, 825, 1219, 6449, 1598, 9191, 1345, 2187, 258, 1038, 2132, 1582, 20508, 1341, 1412, 1412, 1341, 1582, 269, 4532, 656, 566, 1341, 1412, 315, 333, 262, 1341, 1582, 10947, 20373, 4590, 258, 25639, 454, 258, 825, 1219, 1205, 20373, 4311, 2187, 258, 1038, 2132, 1412, 5591, 6609, 7055, 258, 8931, 258, 825, 1219, 14892, 4311, 2187, 258, 1038, 1820, 4311, 269, 4532, 656, 566, 994, 16482, 16482, 258, 5035, 6452, 1470, 263, 8967, 749, 2187, 258, 825, 1219, 6449, 8181, 9191, 1345, 2187, 258, 1038, 1975, 749, 14857, 8181, 9191, 1345, 267, 1412, 16914, 1470, 3299, 1412, 11764, 3000, 532, 932, 1301, 5073, 16482, 258, 5035, 4762, 1495, 334, 263, 8967, 749, 2187, 258, 825, 1219, 6449, 8181, 9191, 1345, 2187, 258, 1038, 1975, 749, 14857, 8181, 9191, 1345, 267, 1412, 18183, 1495, 334, 3299, 1412, 18183, 1495, 639, 932, 1301, 5073, 16482, 258, 825, 1219, 1205, 20373, 4311, 2187, 258, 1038, 2132, 1412, 27246, 519, 6408, 547, 1831, 11821, 543, 581, 325, 3291, 1194, 25692, 16482, 258, 3698, 1353, 8967, 749, 4433, 335, 749, 2187, 258, 825, 1820, 4433, 335, 749, 994, 16482, 258, 4944, 749, 815, 6452, 1470, 4590, 258, 4944, 749, 20216, 31146, 4590, 258, 13231, 344, 8967, 749, 4433, 335, 749, 994, 258, 13231, 344, 8967, 749, 263, 18183, 1495, 334, 3890, 9239, 5035, 589, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 18502, 815, 476, 272, 454, 825, 1219, 1535, 4311, 2187, 1038, 1820, 2891, 288, 11859, 5602, 825, 1219, 586, 4311, 2187, 1038, 1820, 2891, 288, 13885, 5602, 825, 1219, 1990, 4311, 2187, 1038, 1820, 2891, 288, 269, 345, 15419, 5035, 645, 10490, 2187, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 589, 14857, 8181, 9191, 1345, 994, 1038, 1582, 18502, 815, 476, 273, 454, 1038, 1582, 12500, 815, 476, 274, 454, 825, 1219, 586, 4311, 2187, 1038, 1820, 2891, 289, 13885, 5602, 825, 1219, 1990, 4311, 2187, 1038, 1820, 2891, 289, 269, 345, 15419, 5035, 595, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 18502, 815, 476, 275, 454, 1038, 1582, 6983, 815, 476, 276, 454, 825, 1219, 586, 4311, 2187, 1038, 1820, 2891, 290, 13885, 5602, 825, 1219, 1990, 4311, 2187, 1038, 1820, 2891, 290, 269, 345, 15419, 5035, 667, 18154, 267, 645, 2187, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 595, 14857, 8181, 9191, 1345, 994, 1038, 645, 14857, 8181, 9191, 1345, 994, 1038, 1582, 6155, 815, 476, 277, 454, 825, 1219, 1990, 4311, 2187, 1038, 1820, 2891, 291, 269, 345, 5602, 13872, 28128, 815, 667, 4590, 2745, 263, 28128, 18502, 264, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 32046, 593, 774, 340, 4119, 476, 476, 280, 476, 2420, 281, 1321, 281, 7906, 476, 1001, 279, 692, 287, 10461, 281, 24883, 21469, 454, 20701, 11133, 815, 476, 272, 454, 258, 299, 815, 1496, 277, 267, 476, 276, 267, 476, 273, 267, 476, 275, 267, 476, 272, 267, 476, 271, 267, 476, 274, 2639, 299, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 271, 267, 476, 274, 2639, 258, 299, 815, 11713, 258, 1998, 815, 476, 271, 454, 258, 1721, 1775, 538, 2039, 263, 271, 267, 1003, 2187, 258, 825, 1820, 3488, 3128, 334, 5073, 258, 825, 1130, 815, 700, 314, 299, 314, 1998, 27663, 16482, 28744, 263, 1998, 2020, 3698, 3406, 27331, 267, 552, 2187, 825, 585, 1775, 538, 2039, 12759, 27331, 15892, 1038, 952, 700, 5157, 316, 2652, 552, 912, 2018, 2132, 6936, 454, 1038, 952, 700, 5157, 316, 3436, 552, 912, 2018, 2132, 8771, 454, 825, 2132, 8771, 692, 3698, 1007, 14142, 27331, 267, 552, 2187, 825, 2450, 815, 7003, 27331, 994, 825, 585, 1775, 538, 2039, 4433, 1125, 2187, 1038, 952, 700, 314, 21653, 25829, 268, 272, 316, 2652, 552, 912, 2018, 2132, 6936, 454, 1038, 952, 700, 5157, 316, 3436, 552, 912, 2018, 2132, 8771, 454, 825, 2132, 8771, 692, 3698, 23396, 31374, 27331, 2567, 3097, 825, 5727, 700, 568, 513, 1592, 593, 9981, 8173, 825, 1820, 2891, 24314, 700, 281, 14307, 700, 994, 825, 585, 1775, 538, 2039, 12759, 27331, 15892, 1038, 585, 795, 538, 2039, 9217, 266, 272, 267, 7003, 27331, 15892, 2018, 952, 700, 14728, 316, 2999, 700, 5157, 14158, 3546, 1948, 519, 1985, 1899, 568, 513, 2110, 3097, 3546, 1948, 1106, 585, 23396, 700, 5157, 316, 543, 700, 14728, 2639, 3546, 700, 14728, 3910, 700, 5157, 316, 815, 700, 5157, 3910, 700, 14728, 316, 3097, 3546, 1820, 27331, 994, 825, 1820, 2891, 29806, 700, 281, 14307, 700, 994, 8931, 3698, 1110, 18933, 777, 31374, 27331, 2567, 3097, 825, 5727, 700, 568, 513, 1592, 593, 9981, 8173, 825, 1820, 2891, 24314, 700, 281, 14307, 700, 994, 825 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 270, 273, 257, 4009, 267, 1287, 5969, 538, 883, 476, 275, 547, 1118, 519, 2427, 12730, 267, 952, 594, 1223, 1118, 930, 14816, 543, 2759, 621, 883, 476, 273, 267, 865, 594, 1223, 1205, 476, 273, 851, 2427, 676, 2427, 286, 5700, 1018, 594, 1611, 2496, 7069, 2650, 1027, 3625, 568, 476, 2420, 257, 4009, 267, 799, 1797, 519, 7944, 6906, 568, 476, 1626, 476, 272, 270, 273, 257, 630, 1037, 539, 909, 1070, 543, 519, 2427, 12730, 1131, 581, 476, 3953, 476, 272, 270, 273, 6231, 3383, 267, 1018, 1131, 581, 519, 2450, 540, 519, 3368, 12730, 952, 594, 1705, 621, 607, 519, 17552, 593, 519, 1318, 2982, 2496, 273, 269, 634, 3544, 8728, 540, 707, 4259, 12730, 991, 547, 581, 593, 519, 2786, 10286, 540, 519, 5958, 269, 1306, 594, 1174, 707, 6516, 707, 2034, 4781, 12662, 873, 593, 519, 15497, 780, 274, 269, 6153, 1448, 267, 4769, 1405, 1589, 827, 602, 256, 21051, 724, 8627, 1548, 798, 594, 798, 2496, 27745, 594, 798, 476, 275, 12730, 267, 2759, 694, 704, 2299, 286, 10925, 519, 6366, 2427, 17704, 961, 547, 519, 694, 341, 1578, 286, 3973, 519, 476, 273, 5011, 1131, 581, 1312, 9186, 286, 1215, 7381, 543, 2647, 1131, 519, 6906, 581, 2496, 763, 1747, 594, 11751, 519, 5958, 568, 711, 538, 1250, 4884, 267, 543, 594, 2219, 594, 729, 9140, 7899, 269, 1809, 1631, 267, 594, 1589, 519, 476, 1626, 476, 272, 270, 273, 257, 4009, 543, 519, 476, 3953, 476, 272, 270, 273, 257, 4009, 11224, 835, 10759, 811, 982, 519, 13452, 543, 513, 3368, 5958, 594, 11751, 780, 275, 269, 20323, 17397, 676, 19016, 329, 337, 454, 763, 1747, 594, 11751, 519, 5958, 568, 711, 538, 1250, 4884, 267, 543, 594, 2219, 594, 729, 9140, 7899, 269, 1809, 1631, 267, 594, 1589, 519, 476, 1626, 476, 272, 270, 273, 257, 4009, 543, 519, 476, 3953, 476, 272, 270, 273, 257, 4009, 11224, 835, 10759, 811, 982, 519, 13452, 543, 513, 3368, 5958, 594, 11751, 563, 11631, 1626, 476, 272, 270, 273, 1341, 476, 3953, 476, 272, 270, 273, 815, 476, 5392, 282, 513, 13452, 543, 513, 3368, 568, 476, 7918, 6279, 269, 898, 4992, 899, 596, 723, 7899, 780, 276, 269, 20323, 17397, 676, 546, 684, 3122, 454, 23192, 17397, 676, 19016, 329, 337, 454, 763, 1747, 594, 11751, 519, 5958, 568, 711, 538, 1250, 4884, 267, 543, 594, 2219, 594, 729, 9140, 7899, 269, 1809, 1631, 267, 594, 1589, 519, 476, 1626, 476, 272, 270, 273, 257, 4009, 543, 519, 476, 3953, 476, 272, 270, 273, 257, 4009, 11224, 835, 10759, 811, 982, 519, 13452, 543, 513, 3368, 5958, 594, 11751, 563, 11631, 1626, 476, 272, 270, 273, 1341, 476, 3953, 476, 272, 270, 273, 815, 476, 5392, 282, 513, 13452, 543, 513, 3368, 568, 476, 7918, 6279, 269, 898, 4992, 899, 596, 723, 7899, 563, 9917, 781, 1318, 2336, 9767, 1058, 581, 5386, 2439, 277, 269, 1411, 782, 1131, 581, 1318, 17692, 13718, 296, 1589, 950, 594, 29921, 519, 5048, 19108, 267, 621, 1185, 1175, 1044, 1932, 1279, 540, 513, 1554, 2439, 2690, 930, 2601, 267, 594, 729, 4947, 909, 609, 476, 4366, 257, 3079, 540, 476, 7918, 257, 585, 513, 13452, 543, 513, 3368, 780, 11039, 267, 2094, 594, 723, 1631, 15422, 519, 4099, 4009, 267, 594, 786, 991, 547, 979, 10918, 19037, 780, 10673, 1405, 596, 13842, 2395, 950, 707, 2634, 13515, 2324, 286, 8729, 585, 707, 948, 3025, 269, 594, 6785, 594, 1223, 4096, 593, 596, 267, 1932, 3983, 594, 7948, 1405, 4096, 593, 803, 256, 700, 5357, 692, 278, 269, 20323, 17397, 676, 19016, 329, 337, 454, 2791, 782, 1131, 581, 1318, 17692, 13718, 296, 1589, 950, 594, 29921, 519, 5048, 19108, 267, 621, 1185, 1175, 1044, 1932, 1279, 540, 513, 1554, 2439, 2690, 930, 2601, 267, 594, 729, 4947, 909, 609, 476, 4366, 257, 3079, 540, 476, 7918, 257, 585, 513, 13452, 543, 513, 3368, 780, 11039, 267, 2094, 594, 723, 1631, 15422, 519, 4099, 4009, 267, 594, 786, 991, 547, 979, 10918, 19037, 780, 10673, 1405, 596, 13842, 2395, 950, 707, 2634, 13515, 2324, 286, 8729, 585, 707, 948, 3025, 269, 594, 6785, 594, 1223, 4096, 593, 596, 267, 1932, 3983, 594, 7948, 1405, 4096, 593, 803, 256, 700, 5357, 454, 1695, 327, 267, 6121, 3240, 256, 1403, 596, 1152, 6785, 875, 1082, 2053, 594, 2219, 594, 1224, 519, 8846, 256, 700, 5357, 454, 2791, 917, 286, 594, 2141, 2161, 602, 596, 2731, 1810, 1405, 917, 803, 2394, 596, 1294, 1018, 594, 798, 950, 594, 5734, 1250, 14853, 609, 513, 17200, 3267, 543, 267, 602, 729, 519, 1101, 3364, 594, 2219, 950, 594, 4718, 707, 21777, 20171, 4429, 2691, 7903, 3357, 547, 695, 913, 267, 596, 6785, 945, 547, 1205, 19015, 689, 267, 543, 596, 6785, 875, 547, 4368, 519, 1966, 267, 865, 621, 7012, 1405, 2731, 513, 1966, 3267, 596, 1175, 3893, 513, 4960, 547, 1294, 1018, 519, 2372, 559, 1154, 8274, 666, 798, 585, 596, 2336, 283, 24859, 285, 692, 279, 269, 594, 6785, 594, 1223, 4096, 593, 3025, 1934, 269, 1411, 616, 782, 2141, 865, 5363, 547, 3025, 256, 594, 993, 2348, 1250, 13398, 2421, 2638, 782, 1250, 5969, 4566, 547, 581, 2386, 594, 723, 4847, 2614, 9378, 27108, 267, 543, 602, 1142, 2759, 568, 2462, 2614, 585, 519, 10959, 267, 543, 602, 519, 2698, 13452, 1137, 1281, 8197, 1039, 909, 256, 8729, 585, 519, 19015, 256, 5620, 513, 1390, 1554, 267, 782, 780, 280, 269, 3371, 568, 513, 3135, 602, 1522, 948, 1384, 10674, 2517, 4178, 269, 638, 2830, 30132, 2593, 270, 9209, 2873, 270, 517, 15304, 21867, 692, 2005, 568, 5528, 593, 4259, 593, 15304, 543, 5969, 5528, 780, 2971, 5403, 532, 18983, 3827, 692, 1892, 1411, 949, 711, 2022, 1007, 16060, 454, 1892, 1411, 949, 711, 2022, 30491, 454, 1892, 1411, 949, 711, 2022, 27589, 454, 1892, 1411, 949, 711, 12575, 707, 9708, 454, 1892, 692, 10345, 302, 676, 642, 18778, 302, 9736, 1001, 272, 267, 595, 3863, 331, 1464, 267, 5549, 269, 0, 300, 5425, 1109, 476, 22001, 281, 2598, 4740, 4569, 585, 16504, 4065, 454, 20464, 476, 1220, 280, 692, 631, 5425, 268, 22001, 1753, 2457, 7335, 543, 6780, 10467, 19577, 24920, 4515, 269, 22526, 918, 9820, 518, 14581, 4808, 692, 13425, 4289, 585, 4466, 543, 1603, 15997, 692, 1892, 2142, 2386, 596, 723, 513, 2312, 3948, 547, 6961, 454, 1892, 13760, 1018, 596, 2811, 18445, 454, 1892, 7612, 856, 519, 9266, 2497, 563, 1892, 3115, 15590, 848, 519, 3948, 538, 1896, 25401, 6697, 2081, 563, 1892, 5269, 2386, 596, 917, 519, 8847, 540, 519, 6310, 2474, 563, 1892, 6056, 827, 1018, 5376, 916, 267, 2035, 267, 3092, 269, 602, 4125, 1346, 2474, 563, 1892, 32341, 875, 596, 1522, 6961, 621, 454, 1892, 6904, 6169, 2553, 3100, 2693, 286, 1109, 7454, 888, 1892, 1548, 666, 596, 8263, 286, 1109, 1548, 568, 707, 3804, 888, 1892, 4855, 519, 6169, 454, 1892, 14424, 1018, 596, 666, 8263, 609, 519, 5376, 916, 543, 8847, 596, 917, 563, 1892, 7612, 856, 1018, 5376, 916, 1131, 1205, 596, 547, 707, 3804, 563, 1892, 853, 3089, 286, 1109, 8347, 606, 4244, 6169, 4480, 563, 1892, 12846, 12758, 286, 1109, 6423, 952, 596, 666, 6961, 519, 11532, 568, 7301, 563, 1892, 3503, 11315, 8908, 267, 2638, 585, 9266, 6959, 454, 1892, 9894, 596, 946, 782, 540, 519, 19165, 888, 1892, 9894, 596, 8263, 519, 3932, 286, 1109, 630, 1607, 568, 3983, 8094, 1892, 3657, 972, 2312, 3268, 538, 707, 6169, 602, 1291, 2047, 547, 519, 3932, 888, 1892, 6496, 1142, 1900, 1246, 25401, 689, 519, 3105, 835, 888, 1892, 3657, 519, 3268, 9846, 21092, 888, 1892, 3503, 1101, 8908, 454, 1892, 6744, 602, 596, 1175, 6961, 835, 3364, 269, 1403, 2556, 267, 6961, 930, 3981, 1431, 610, 19790, 5733, 1101, 563, 1892, 6744, 585, 1543, 563, 1892, 6744, 10259, 267, 18685, 267, 8239, 267, 1109, 1299, 1603, 2511, 563, 1892, 6744, 585, 31824, 910, 3898, 267, 19437, 267, 3308, 9029, 563, 1892, 3503, 519, 3803, 8908, 454, 1892, 2142, 2386, 547, 1533, 519, 11532, 596, 2811, 18445, 563, 1892, 2142, 2386, 547, 4734, 4055, 538, 519, 19114, 543, 1063, 15997, 585, 8292, 269, 0, 1012, 12834, 692, 2414, 1293, 519, 1297, 540, 2189, 2418, 538, 513, 2039, 540, 2281, 267, 596, 666, 946, 513, 4542, 1759, 593, 519, 2910, 7419, 2316, 293, 543, 24639, 6573, 4629, 291, 308, 6311, 3252, 269, 769, 519, 1383, 3254, 267, 519, 4542, 538, 674, 277, 568, 1384, 18606, 284, 24746, 6573, 4629, 291, 308, 6311, 263, 272, 270, 4596, 7419, 2316, 293, 16360, 276, 281, 289, 1691, 32390, 276, 281, 289, 1691, 4917, 18606, 454, 1103, 25674, 9185, 267, 596, 666, 946, 513, 12863, 543, 5488, 4542, 1759, 593, 6167, 296, 12702, 292, 780, 1012, 9198, 545, 4542, 692, 1730, 284, 24746, 6573, 4629, 291, 308, 6311, 263, 272, 270, 4596, 7419, 2316, 293, 16597, 267, 11907, 4297, 1730, 692, 1012, 19247, 692, 22998, 689, 519, 3330, 856, 267, 2910, 7419, 2316, 293, 568, 27358, 547, 2418, 538, 519, 2039, 645, 276, 281, 289, 1691, 267, 1210, 782, 540, 891, 1482, 2418, 607, 7355, 1384, 18606, 4596, 7419, 2316, 293, 16360, 276, 281, 289, 1691, 32390, 276, 281, 289, 1691, 994, 32526, 10303, 649, 1683, 476, 1015, 2418, 585, 7355, 267, 649, 1205, 1394, 606, 5044, 609, 476, 1015, 2164, 899, 713, 1384, 18606, 346, 274, 282, 274, 282, 274, 282, 273, 282, 273, 282, 274, 282, 274, 282, 274, 282, 273, 282, 273, 8679, 32526, 10376, 1297, 4564, 513, 1293, 1107, 834, 297, 574, 257, 5526, 476, 274, 2053, 267, 834, 306, 826, 257, 5526, 476, 273, 2053, 267, 543, 865, 593, 780, 1607, 5044, 568, 27358, 607, 513, 27708, 609, 476, 272, 607, 519, 19362, 269, 2991, 6498, 267, 649, 1205, 1776, 5044, 1384, 18606, 346, 271, 269, 18357, 18357, 18357, 18357, 18357, 282, 271, 269, 18357, 18357, 18357, 18357, 18357, 282, 271, 269, 18357, 18357, 18357, 18357, 18357, 282, 271, 269, 276, 282, 271, 269, 276, 282, 271, 269, 18357, 18357, 18357, 18357, 18357, 282, 271, 269, 18357, 18357, 18357, 18357, 18357, 282, 271, 269, 18357, 18357, 18357, 18357, 18357, 282, 271, 269, 276, 282, 271, 269, 276, 8679, 32526, 12179, 2418, 602, 2049, 538, 1175, 2899, 538, 519, 2039, 786, 2408, 607, 476, 272, 338, 267, 855, 2418, 602, 2049, 2789, 2053, 786, 2408, 607, 27847, 2418, 602, 5330, 547, 519, 2789, 269, 630, 328, 4318, 269, 513, 1871, 602, 5526, 476, 275, 2053, 538, 1239, 786, 5352, 476, 275, 2418, 815, 476, 271, 269, 1839, 6393, 7661, 267, 519, 24639, 6573, 4629, 291, 308, 6311, 1599, 18304, 782, 2418, 538, 519, 5044, 543, 7024, 519, 1267, 780, 2162, 30047, 10145, 2281, 692, 3080, 1259, 547, 6023, 10145, 610, 8900, 2281, 568, 547, 4188, 519, 4542, 607, 5205, 1384, 18606, 284, 24746, 6573, 4629, 291, 308, 6311, 263, 272, 270, 4596, 7419, 2316, 293, 16597, 267, 11907, 261, 3269, 4917, 32526, 3528, 6677, 22760, 908, 606, 8900, 5569, 630, 3269, 264, 547, 519, 1239, 267, 649, 2061, 21325, 689, 10678, 909, 538, 519, 5044, 2813, 676, 2910, 7419, 2316, 293, 950, 972, 616, 10145, 2281, 538, 519, 1239, 269, 901, 568, 1271, 267, 1317, 513, 4642, 538, 519, 27708, 786, 2014, 519, 4542, 547, 12235, 513, 1948, 291, 4353, 270, 271, 5470, 269, 898, 1568, 1317, 1210, 606, 8900, 5569, 630, 3269, 264, 585, 7355, 786, 1293, 8900, 2281, 780, 4913, 267, 4352, 713, 4528, 540, 519, 4542, 4465, 1405, 12235, 513, 1948, 291, 4353, 270, 271, 5470, 950, 609, 10145, 2281, 267, 621, 786, 1331, 10145, 2281, 538, 519, 1293, 269, 1403, 596, 1616, 547, 23868, 10145, 2281, 689, 519, 1293, 267, 946, 1384, 18606, 284, 24746, 6573, 4629, 291, 308, 6311, 9230, 11907, 283, 285, 3269, 8358, 4596, 7419, 2316, 293, 16597, 267, 11907, 261, 3269, 4917, 32526, 1607, 814, 519, 1198, 540, 666, 576, 1782, 856, 519, 1293, 540, 10145, 2281, 676, 1818, 519, 19362, 4642, 585, 2404, 12523, 780, 2162, 20405, 13437, 2496, 1607, 568, 513, 3579, 543, 17715, 4542, 267, 855, 621, 21410, 1454, 811, 7444, 982, 12596, 602, 946, 674, 3918, 12702, 27301, 312, 547, 1293, 2189, 2418, 269, 1280, 3677, 1239, 5036, 267, 596, 949, 1616, 547, 6467, 547, 513, 4542, 1759, 593, 519, 674, 3918, 12702, 27301, 312, 1599, 269, 3371, 781, 513, 4542, 585, 25948, 2418, 267, 543, 835, 585, 1257, 2418, 780, 2162 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12262, 4065, 10432, 282, 272, 270, 1789, 270, 1220, 279, 267, 5292, 269, 476, 2767, 17136, 476, 2641, 267, 533, 275, 454, 288, 8523, 540, 13529, 2021, 6972, 2250, 513, 1129, 593, 513, 3774, 568, 4843, 267, 2059, 609, 8711, 540, 519, 4679, 538, 5208, 6098, 2509, 13529, 1053, 543, 3610, 267, 3226, 689, 519, 13669, 28063, 563, 268, 9069, 710, 781, 3004, 11551, 654, 820, 269, 3223, 2940, 268, 11675, 13871, 267, 15593, 787, 282, 8431, 340, 3266, 320, 267, 27118, 282, 717, 5585, 267, 12253, 12262, 5240, 15553, 630, 4263, 23007, 9990, 5148, 1556, 270, 4905, 270, 4200, 630, 4263, 23007, 9990, 1070, 5292, 269, 476, 16328, 17136, 476, 1240, 267, 533, 7830, 454, 19423, 619, 1344, 593, 519, 11980, 540, 2961, 5055, 670, 5255, 15595, 614, 267, 3993, 540, 14732, 21322, 670, 5255, 15595, 614, 267, 513, 2875, 8929, 538, 519, 12636, 543, 14356, 1612, 3315, 7458, 693, 9069, 710, 4400, 3427, 538, 9741, 2023, 267, 12548, 269, 4033, 2360, 540, 519, 1164, 1153, 9496, 902, 593, 519, 1153, 543, 519, 2146, 267, 1519, 4031, 7057, 543, 513, 3609, 2483, 268, 10201, 520, 643, 553, 632, 1151, 18676, 12728, 23326, 333, 535, 1370, 324, 513, 3288, 3423, 16780, 807, 1965, 3712, 541, 269, 8585, 577, 17505, 267, 715, 573, 807, 25463, 996, 8776, 637, 12262, 2098, 7431, 2398, 12728, 23326, 343, 9874, 282, 2940, 18191, 684, 1001, 271, 267, 17136, 476, 1321, 267, 533, 13301, 454, 1607, 14436, 1957, 30242, 547, 16436, 2818, 540, 606, 3872, 2146, 547, 1118, 3617, 1199, 14591, 593, 519, 1764, 540, 1114, 2010, 540, 1153, 5208, 543, 922, 1764, 593, 2486, 267, 621, 3217, 607, 606, 1383, 519, 960, 2944, 538, 1079, 3872, 5238, 538, 6917, 8658, 269, 2311, 519, 1482, 942, 649, 2483, 268, 634, 3310, 540, 1153, 2528, 543, 1153, 2916, 593, 5208, 538, 3506, 540, 519, 8109, 15729, 19435, 269, 4446, 5886, 267, 17833, 773, 282, 21563, 333, 731, 267, 12246, 8291, 282, 632, 22911, 267, 11759, 928, 12262, 3162, 3979, 4750, 540, 4065, 282, 15037, 1001, 273, 267, 5292, 269, 476, 3953, 17136, 476, 272, 267, 533, 7597, 454, 1607, 2376, 5359, 593, 1382, 17298, 827, 519, 3310, 540, 1153, 2528, 543, 1153, 2916, 593, 5208, 693, 3506, 538, 519, 8109, 15729, 269, 1323, 9862, 4993, 3427, 8693, 543, 11752, 910, 10374, 4813, 630, 5425, 16430, 4149, 293, 1070, 799, 729, 1031, 607, 519, 1239, 12258, 3005, 6293, 267, 729, 6192, 676, 476, 12010, 6103, 1862, 0, 2304, 1898, 960, 585, 4224, 11655, 543, 5640, 267, 6969, 4432, 6665, 281, 634, 2776, 20931, 540, 9412, 11313, 333, 685, 24305, 7710, 519, 8129, 540, 4224, 11313, 333, 685, 5066, 689, 519, 1295, 560, 7758, 5736, 547, 519, 11944, 540, 9291, 670, 1446, 344, 543, 4432, 6665, 3465, 2917, 267, 5356, 513, 2484, 6626, 543, 4514, 2079, 540, 519, 2038, 4720, 540, 4224, 2575, 982, 824, 12583, 723, 269, 2598, 335, 2454, 1455, 20887, 267, 621, 12116, 4224, 779, 5072, 538, 554, 758, 636, 8964, 543, 2462, 1532, 663, 1630, 690, 625, 607, 1134, 607, 986, 326, 5503, 543, 21462, 267, 24223, 519, 9784, 676, 3043, 5159, 540, 3979, 1977, 6163, 1279, 1354, 4224, 11313, 333, 685, 5066, 7902, 269, 901, 2189, 1353, 9832, 2484, 543, 2647, 267, 10223, 519, 3310, 540, 28910, 22407, 899, 22319, 4201, 787, 543, 11875, 320, 32684, 2059, 609, 519, 7418, 540, 21372, 855, 1883, 840, 15479, 832, 899, 10434, 13702, 25511, 614, 543, 6341, 634, 731, 563, 32451, 1419, 267, 4224, 12206, 1521, 519, 6090, 529, 540, 4224, 11313, 333, 685, 5066, 607, 513, 30021, 689, 519, 4544, 267, 606, 16074, 4838, 1008, 12097, 676, 519, 1025, 663, 1402, 2575, 602, 5612, 28263, 621, 543, 2813, 998, 519, 3043, 3261, 566, 540, 2575, 11489, 1287, 5129, 1152, 676, 543, 585, 17051, 269, 6969, 4432, 6665, 29412, 569, 13187, 513, 811, 7294, 1686, 540, 4224, 779, 4720, 689, 513, 2212, 344, 3575, 540, 18711, 267, 1630, 690, 773, 2914, 334, 690, 773, 267, 2197, 2575, 267, 13416, 1402, 267, 543, 11733, 7146, 15918, 1132, 12544, 544, 2946, 331, 1052, 6163, 602, 6766, 835, 1776, 2059, 519, 1259, 267, 689, 519, 10338, 540, 21462, 543, 1630, 690, 625, 883, 15690, 543, 1402, 547, 519, 5610, 540, 2197, 543, 12144, 2575, 883, 11733, 7146, 15918, 1132, 563, 24309, 538, 513, 2511, 1312, 3015, 547, 519, 2489, 5467, 543, 11807, 547, 519, 3978, 4081, 267, 6969, 4432, 6665, 6799, 513, 12050, 4661, 827, 4224, 779, 8129, 602, 2306, 621, 2838, 2542, 585, 11655, 543, 5640, 540, 4224, 11313, 333, 685, 5066, 1686, 563, 2690, 936, 476, 3374, 1296, 267, 32632, 21960, 333, 29231, 814, 2854, 585, 1974, 25025, 8151, 689, 13560, 19468, 547, 519, 1715, 3840, 8648, 543, 12995, 2835, 543, 17476, 827, 2575, 563, 1432, 789, 2461, 6031, 827, 6969, 4432, 6665, 7498, 6524, 4432, 6665, 281, 634, 2776, 20931, 540, 9412, 1412, 333, 262, 24305, 568, 606, 32055, 960, 540, 7574, 1686, 267, 9256, 8101, 1007, 1382, 609, 5892, 3964, 1570, 585, 513, 3102, 5075, 540, 513, 5892, 27929, 2361, 269, 11109, 513, 9787, 540, 1977, 2575, 543, 922, 2959, 1256, 2392, 908, 12625, 538, 3013, 267, 21960, 333, 29231, 7208, 1571, 1010, 9153, 540, 6029, 875, 4224, 11313, 333, 685, 5066, 1310, 519, 4473, 540, 4432, 6665, 3465, 2917, 729, 513, 2067, 856, 29115, 540, 519, 4129, 1881, 2486, 799, 28263, 1864, 269, 5900, 550, 633, 547, 5010, 19178, 543, 519, 1950, 2729, 540, 7574, 5159, 267, 3221, 656, 609, 519, 7574, 18305, 543, 11430, 878, 4798, 540, 519, 2442, 2575, 1158, 538, 1312, 6592, 543, 2661, 2773, 267, 32632, 21960, 333, 29231, 19267, 513, 1158, 20948, 676, 2324, 5159, 945, 616, 4628, 6857, 540, 741, 2959, 267, 7506, 543, 3646, 693, 2123, 4082, 267, 6923, 8757, 585, 9458, 2479, 11235, 585, 519, 1007, 6335, 593, 513, 5432, 19820, 269, 901, 568, 513, 1713, 960, 267, 3638, 609, 11240, 725, 563, 1765, 20999, 13495, 601, 267, 2278, 540, 30683, 267, 2107, 6339, 974, 267, 595, 1815, 559, 281, 27227, 15332, 27227, 454, 296, 993, 23279, 540, 32632, 21960, 333, 29231, 267, 585, 646, 4667, 547, 723, 4862, 1169, 2594, 2479, 1500, 269, 9182, 646, 568, 835, 540, 1346, 4686, 1004, 945, 17358, 602, 4224, 262, 333, 262, 2651, 1705, 711, 5614, 10393, 856, 540, 519, 2634, 540, 930, 905, 30099, 1167, 795, 15736, 267, 543, 1010, 1433, 568, 513, 5066, 10107, 11878, 998, 519, 31546, 15066, 2575, 540, 1896, 5756, 1354, 2048, 29587, 19874, 23392, 19028, 1765, 18496, 22548, 651, 267, 9375, 540, 634, 31919, 15610, 540, 15019, 8535, 454, 1607, 2079, 568, 1175, 835, 1383, 540, 519, 12835, 16438, 2880, 3206, 602, 2306, 6004, 269, 21960, 333, 29231, 781, 1433, 17170, 269, 3571, 1434, 1274, 543, 2620, 3312, 1382, 948, 1864, 16765, 1248, 1454, 540, 519, 6671, 7326, 827, 1141, 4224, 3357, 689, 16634, 763, 2278, 7475, 676, 561, 3512, 532, 602, 834, 1492, 17046, 1353, 540, 4224, 1412, 333, 262, 5066, 8129, 814, 2943, 547, 581, 2854, 1701, 898, 4667, 2312, 602, 609, 519, 1459, 4320, 267, 513, 2481, 2740, 1434, 1376, 814, 1044, 1500, 563, 1765, 12663, 17054, 342, 12245, 267, 634, 9931, 9335, 4750, 454, 2026, 519, 5705, 1856, 10522, 267, 2575, 19784, 21960, 333, 29231, 4485, 519, 1686, 540, 4224, 543, 5066, 899, 606, 9125, 6048, 269, 5502, 540, 13946, 10367, 610, 19020, 569, 1500, 2645, 267, 21960, 333, 29231, 814, 5638, 1765, 331, 1824, 543, 6266, 540, 5638, 269, 9521, 1034, 2575, 12583, 267, 799, 4043, 547, 1445, 593, 22407, 543, 741, 2729, 267, 21960, 333, 29231, 27180, 4992, 281, 7316, 1705, 891, 18819, 2097, 689, 286, 7316, 1705, 713, 678, 858, 1376, 286, 634, 16439, 540, 7574, 543, 11430, 3740, 1509, 525, 2306, 585, 513, 10438, 267, 952, 693, 2053, 11566, 267, 3460, 998, 4571, 268, 736, 628, 10601, 1977, 1402, 2528, 1686, 269, 21960, 333, 29231, 779, 1702, 540, 519, 2575, 540, 713, 942, 1974, 568, 18198, 267, 543, 786, 1118, 3988, 6999, 519, 1433, 3357, 609, 513, 3280, 10177, 1188, 2807, 26170, 267, 713, 30997, 547, 1018, 865, 1082, 540, 2575, 11655, 8263, 789, 917, 827, 4224, 543, 1402, 1686, 568, 513, 2556, 835, 543, 786, 6338, 3988, 547, 5159, 964, 6326, 3152, 3007, 269, 901, 10875, 4663, 632, 3196, 540, 840, 13702, 1686, 786, 8300, 11655, 547, 1451, 811, 827, 519, 5072, 540, 519, 2575, 789, 2648, 563, 1765, 7732, 4750, 267, 10060, 1042, 5623, 454, 1607, 568, 606, 6909, 2620, 4685, 883, 519, 1686, 540, 4224, 11313, 333, 685, 5066, 676, 1259, 540, 15690, 267, 2197, 267, 543, 21462, 269, 3371, 568, 875, 594, 1224, 519, 1433, 281, 594, 1793, 573, 1250, 30069, 593, 267, 3866, 539, 909, 20128, 1518, 267, 543, 6743, 909, 607, 1082, 540, 519, 5159, 610, 8964, 607, 21960, 333, 29231, 5941, 269, 13185, 827, 606, 2069, 2336, 1765, 8535, 570, 2345, 454, 289, 597, 333, 29231, 630, 320, 2575, 19784, 264, 814, 6537, 593, 1010, 679, 9871, 14037, 1702, 538, 713, 1686, 540, 2442, 2575, 538, 1454, 540, 519, 476, 736, 628, 2540, 269, 1261, 21040, 543, 10311, 519, 3795, 538, 3798, 24156, 267, 2983, 32015, 853, 10280, 267, 543, 8230, 570, 27462, 781, 9412, 540, 12698, 281, 634, 17029, 1782, 12942, 3778, 540, 9412, 543, 24305, 267, 7917, 6022, 1067, 781, 9412, 543, 24305, 281, 1323, 1133, 745, 569, 3778, 630, 1960, 276, 1070, 24898, 717, 4068, 1777, 781, 634, 14675, 540, 519, 4975, 630, 3192, 272, 1070, 543, 932, 3089, 2494, 322, 639, 334, 781, 8185, 11609, 15019, 8535, 543, 519, 26789, 630, 1960, 277, 1040, 634, 2278, 5956, 676, 11287, 602, 834, 1492, 13439, 1417, 3280, 540, 4224, 562, 262, 5066, 1223, 581, 4862, 607, 2038, 607, 519, 476, 4572, 271, 338, 538, 513, 1297, 540, 554, 758, 636, 8964, 267, 14440, 1630, 690, 625, 267, 543, 15690, 1532, 663, 12417, 2437, 543, 713, 6368, 7153, 2407, 1532, 31500, 609, 4432, 6665, 3465, 2917, 538, 519, 4571, 268, 4198, 271, 338, 269, 2991, 1079, 2606, 11271, 267, 21960, 333, 29231, 7575, 883, 2143, 5717, 540, 519, 21462, 267, 1630, 690, 773, 2914, 334, 690, 773, 267, 15690, 267, 2197, 2575, 267, 543, 11733, 543, 21462, 267, 543, 20147, 609, 7671, 773, 700, 12578, 267, 28270, 853, 1551, 267, 3627, 22448, 14105, 267, 543, 4793, 4425, 821, 269, 3962, 3184, 3091, 2143, 1344, 593, 519, 22407, 267, 8964, 267, 2594, 3549, 267, 543, 1454, 811, 269, 21960, 333, 29231, 849, 2488, 930, 2930, 1344, 593, 519, 8964, 543, 12417, 269, 901, 3638, 4901, 568, 10483, 676, 2143, 4967, 602, 2721, 593, 519, 5767, 1382, 269, 5681, 2719, 5455, 281, 4400, 569, 5227, 563, 1765, 305, 6185, 269, 28137, 267, 14893, 0, 4537, 22284, 538, 4307, 1108, 267, 610, 519, 12557, 540, 18596, 1272, 2621, 267, 723, 1044, 4330, 607, 513, 968, 325, 5424, 2745, 892, 540, 13796, 543, 8901, 6114, 676, 9265, 547, 2916, 1689, 5222, 269, 4935, 4307, 1108, 2488, 835, 540, 519, 16999, 10832, 540, 519, 13261, 4390, 540, 7103, 547, 11883, 609, 2104, 2825, 2175, 269, 769, 713, 1353, 649, 786, 8495, 875, 519, 12557, 543, 12136, 540, 513, 24194, 540, 3810, 27436, 7286, 2831, 568, 4657, 1813, 547, 513, 3126, 540, 20296, 543, 8733, 10256, 269, 4635, 4540, 1279, 3856, 3140, 1239, 3126, 267, 649, 786, 3313, 519, 4287, 543, 9588, 540, 875, 9194, 267, 11606, 267, 610, 824, 4307, 1670, 13525, 814, 4957, 538, 513, 24194, 540, 7286, 11864, 267, 4262, 16015, 543, 24991, 602, 22109, 883, 519, 13323, 540, 19051, 593, 513, 12119, 4493, 269, 5221, 7286, 2831, 616, 20244, 6939, 545, 543, 20541, 569, 9571, 267, 649, 786, 4019, 3209, 8579, 4485, 267, 12077, 6422, 5003, 3599, 3631, 267, 547, 6218, 12119, 9194, 3270, 543, 7226, 946, 2066, 2789, 9249, 538, 519, 13323, 540, 19051, 3148, 269, 14936, 267, 649, 786, 30075, 6237, 1344, 593, 513, 1883, 10352, 2249, 267, 5070, 28917, 267, 4171, 12557, 543, 11606, 568, 513, 2178, 27667, 540, 519, 12136, 543, 2623, 540, 11975, 6098, 538, 713, 1353, 269, 11778, 786, 2697, 2249, 602, 616, 5266, 811, 610, 1447, 13261, 543, 3976, 7925, 547, 2916, 1689, 267, 3313, 519, 2693, 3119, 10256, 540, 1346, 2242, 267, 607, 1134, 607, 1239, 10616, 543, 2104, 5464, 2115, 269, 11086, 267, 713, 1344, 786, 581, 3730, 547, 1217, 6237, 2359, 543, 9542, 4566, 563, 19061, 7392, 281, 1805, 820, 14516, 268, 15275, 1881, 3194, 5741, 454 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 8702, 547, 11020, 291, 523, 2593, 910, 11020, 1855, 553, 619, 17072, 692, 8080, 547, 11020, 291, 523, 2593, 910, 11020, 1855, 553, 619, 17072, 269, 6145, 1034, 2228, 2950, 596, 1590, 11578, 547, 2022, 538, 938, 2146, 267, 855, 1810, 1405, 5855, 713, 568, 513, 2241, 1863, 1184, 269, 1677, 581, 513, 851, 540, 11020, 291, 523, 1280, 4548, 596, 949, 1711, 513, 1007, 2272, 610, 1129, 538, 952, 596, 2907, 723, 606, 2272, 269, 1306, 513, 4759, 596, 1223, 1376, 1007, 3584, 267, 16253, 547, 1866, 267, 24049, 547, 3584, 270, 1721, 4548, 547, 1205, 13128, 10311, 267, 1205, 707, 1378, 9043, 543, 1118, 1007, 2828, 269, 2986, 1576, 267, 596, 666, 849, 2972, 938, 4015, 540, 5863, 9804, 2192, 16272, 543, 3579, 2979, 3756, 269, 1403, 596, 899, 938, 3135, 267, 596, 949, 1489, 721, 676, 3274, 14467, 5616, 834, 266, 272, 257, 610, 9365, 834, 12024, 257, 16181, 693, 519, 1283, 269, 1403, 596, 723, 513, 3896, 267, 649, 1131, 5660, 513, 2370, 3095, 547, 11020, 291, 523, 269, 8729, 543, 2972, 519, 9324, 32473, 994, 10817, 652, 24606, 676, 8061, 293, 2224, 692, 289, 5735, 692, 10602, 30491, 547, 713, 1888, 692, 258, 10170, 524, 926, 27886, 274, 692, 322, 926, 27886, 274, 692, 6124, 29560, 692, 1892, 16840, 454, 1892, 476, 273, 9708, 692, 16829, 476, 6187, 4989, 476, 1220, 280, 910, 476, 4962, 281, 6246, 6751, 692, 3383, 267, 594, 993, 2469, 547, 1491, 513, 588, 629, 693, 713, 267, 543, 972, 568, 1100, 10018, 602, 713, 568, 1318, 1317, 621, 814, 1044, 513, 1906, 1296, 855, 1934, 621, 4422, 1384, 269, 276, 270, 6246, 24210, 270, 2568, 692, 1729, 4194, 585, 2473, 519, 3830, 1224, 281, 630, 296, 1031, 519, 2608, 607, 513, 8691, 3090, 865, 607, 711, 547, 581, 14845, 2020, 2568, 270, 2568, 2608, 1547, 276, 270, 6246, 815, 1535, 270, 2568, 2608, 476, 2568, 270, 2568, 692, 1789, 270, 28670, 271, 815, 2473, 692, 274, 270, 28670, 815, 2473, 692, 274, 270, 28670, 815, 1547, 4905, 829, 8792, 692, 269, 6860, 2608, 6246, 1295, 815, 1547, 6246, 630, 6518, 568, 3368, 2020, 269, 6246, 2608, 476, 273, 815, 1547, 10436, 547, 581, 2407, 692, 3383, 267, 621, 1131, 1491, 476, 10436, 3764, 689, 1376, 547, 9096, 547, 581, 2407, 692, 3383, 267, 476, 1321, 281, 876, 1341, 476, 10436, 3764, 815, 476, 272, 281, 2918, 692, 3383, 267, 693, 476, 272, 281, 2918, 519, 8670, 1058, 581, 2407, 780, 12179, 4960, 602, 568, 2673, 547, 1318, 2496, 10955, 1243, 676, 524, 926, 27886, 274, 267, 476, 6187, 4989, 476, 1220, 280, 910, 476, 4962, 281, 2004, 6751, 780, 1892, 476, 271, 692, 258, 7761, 524, 926, 27886, 274, 692, 322, 926, 27886, 274, 692, 6124, 29560, 692, 1892, 16840, 454, 1892, 476, 273, 9708, 692, 16829, 476, 6187, 4989, 476, 1220, 280, 910, 476, 6187, 281, 876, 6751, 692, 310, 7159, 1862, 296, 1175, 2219, 827, 621, 543, 7691, 594, 1705, 782, 602, 960, 585, 4986, 700, 5357, 269, 1403, 519, 8670, 729, 3368, 1259, 2407, 693, 476, 1321, 281, 6246, 543, 1169, 8792, 267, 519, 7103, 5595, 267, 1287, 693, 476, 1321, 281, 4510, 519, 8670, 1058, 581, 2407, 1862, 2431, 2496, 12024, 594, 1767, 538, 519, 3105, 2022, 267, 621, 814, 1044, 513, 1247, 543, 519, 3621, 2450, 540, 519, 11248, 11735, 594, 1869, 4769, 1405, 1294, 875, 476, 1556, 281, 6795, 1223, 723, 1044, 519, 1318, 2626, 267, 1256, 1310, 2542, 782, 540, 519, 9708, 563, 1892, 476, 271, 692, 258, 10463, 887, 758, 773, 272, 10937, 692, 549, 758, 773, 272, 10937, 692, 25938, 1640, 16588, 692, 1892, 476, 16328, 275, 9708, 454, 1892, 13834, 281, 300, 1446, 454, 1892, 19715, 281, 20228, 990, 25474, 692, 16829, 476, 6187, 4989, 476, 1220, 280, 910, 476, 6187, 281, 4097, 6751, 692, 310, 7159, 1862, 296, 1175, 2219, 827, 621, 543, 7691, 594, 1705, 782, 602, 960, 585, 4986, 700, 5357, 269, 1403, 519, 8670, 729, 3368, 1259, 2407, 693, 476, 1321, 281, 6246, 543, 1169, 8792, 267, 519, 7103, 5595, 267, 1287, 693, 476, 1321, 281, 4510, 519, 8670, 1058, 581, 2407, 1862, 2431, 2496, 12024, 594, 1767, 538, 519, 3105, 2022, 267, 621, 814, 1044, 513, 1247, 543, 519, 3621, 2450, 540, 519, 11248, 11735, 594, 1869, 4769, 1405, 1294, 875, 476, 1556, 281, 6795, 1223, 723, 1044, 519, 1318, 2626, 267, 1256, 1310, 2542, 782, 540, 519, 9708, 780, 6202, 19481, 692, 24987, 585, 2025, 2262, 532, 568, 476, 1556, 281, 6795, 454, 24987, 585, 1007, 2262, 532, 568, 476, 1321, 281, 4510, 454, 1892, 476, 271, 692, 18893, 673, 7629, 16272, 454, 28874, 11020, 291, 523, 692, 257, 2414, 1376, 281, 4964, 1022, 1883, 1862, 7316, 781, 519, 1412, 1415, 262, 1883, 8119, 910, 25264, 3244, 12121, 692, 258, 10619, 744, 951, 520, 692, 302, 951, 520, 692, 6124, 29560, 692, 1892, 16840, 454, 1892, 476, 272, 9708, 692, 16829, 476, 2537, 5181, 476, 1220, 280, 910, 476, 6349, 281, 3393, 6751, 692, 296, 3494, 519, 1448, 540, 519, 3635, 814, 1044, 14406, 281, 4706, 513, 7954, 11015, 267, 711, 513, 10334, 2243, 269, 634, 2626, 568, 476, 1321, 281, 4510, 630, 514, 835, 811, 8792, 264, 1317, 476, 272, 270, 273, 263, 26920, 540, 4620, 686, 8670, 2407, 264, 1535, 476, 273, 630, 1492, 1297, 540, 2281, 1310, 1142, 7941, 264, 815, 476, 272, 454, 1892, 476, 271, 692, 258, 4037, 13545, 345, 534, 692, 30198, 345, 534, 692, 6124, 29560, 692, 1892, 16840, 454, 1892, 476, 273, 9708, 692, 16829, 476, 4962, 5239, 476, 1220, 280, 910, 476, 6734, 281, 5655, 6751, 692, 1321, 269, 4510, 454, 1892, 476, 271, 692, 6124, 29560, 692, 1892, 16840, 454, 1892, 476, 274, 9708, 692, 16829, 476, 2420, 4989, 476, 1001, 271, 910, 476, 1321, 281, 5379, 7537, 692, 758, 1134, 711, 547, 581, 678, 8775, 855, 2281, 1310, 6498, 616, 2965, 519, 1482, 2450, 1862, 1492, 15954, 543, 22140, 689, 519, 3312, 1591, 616, 23060, 543, 3160, 538, 2450, 269, 1403, 1018, 814, 1044, 5892, 7150, 568, 3020, 1287, 606, 4587, 1268, 781, 2960, 2281, 1131, 581, 3648, 4130, 982, 513, 20169, 781, 2960, 2281, 585, 1383, 1317, 789, 723, 1044, 5258, 513, 5318, 2179, 811, 799, 568, 4636, 1862, 1492, 6676, 1131, 581, 2407, 835, 8792, 2663, 952, 621, 941, 1152, 3368, 2407, 513, 8792, 1354, 269, 11289, 3917, 537, 267, 585, 596, 723, 1175, 1044, 856, 5100, 539, 676, 513, 476, 1724, 1032, 6040, 8004, 563, 1892, 476, 271, 692, 258, 6507, 544, 839, 534, 276, 4281, 692, 332, 839, 534, 276, 4281, 692, 6124, 29560, 692, 1892, 16840, 454, 1892, 476, 275, 9708, 692, 16829, 476, 2190, 4989, 476, 1001, 271, 910, 476, 1015, 281, 1839, 6751, 692, 758, 1134, 711, 547, 581, 678, 8775, 855, 2281, 1310, 6498, 616, 2965, 519, 1482, 2450, 1862, 1492, 15954, 543, 22140, 689, 519, 3312, 1591, 616, 23060, 543, 3160, 538, 2450, 269, 1403, 1018, 814, 1044, 5892, 7150, 568, 3020, 1287, 606, 4587, 1268, 781, 2960, 2281, 1131, 581, 3648, 4130, 982, 513, 20169, 781, 2960, 2281, 585, 1383, 1317, 789, 723, 1044, 5258, 513, 5318, 2179, 811, 799, 568, 4636, 1862, 1492, 6676, 1131, 581, 2407, 835, 8792, 2663, 952, 621, 941, 1152, 3368, 2407, 513, 8792, 1354, 269, 11289, 3917, 537, 267, 585, 596, 723, 1175, 1044, 856, 5100, 539, 676, 513, 476, 1724, 1032, 6040, 8004, 780, 8253, 547, 581, 678, 8775, 834, 335, 553, 560, 515, 322, 809, 625, 2580, 855, 538, 782, 7954, 267, 602, 781, 711, 8209, 3020, 269, 13689, 593, 519, 11248, 267, 5378, 2670, 3217, 513, 1114, 13260, 2557, 563, 1892, 476, 271, 692, 271, 3593, 4433, 264, 616, 2542, 713, 1888, 692, 271, 2818, 267, 476, 271, 14538, 267, 476, 271, 20822, 3755, 0, 258, 1627, 269, 1403, 1535, 30381, 263, 287, 266, 7562, 287, 264, 543, 586, 30381, 263, 272, 2275, 657, 287, 1070, 1265, 10085, 7933, 343, 780, 327, 2292, 959, 1882, 328, 454, 1240, 18745, 454, 1724, 1296, 3516, 692, 328, 1589, 519, 2953, 20735, 568, 476, 272, 21669, 692, 290, 2867, 534, 13495, 599, 600, 715, 599, 752, 541, 454, 24374, 18745, 454, 1724, 1296, 3516, 692, 11276, 270, 6767, 815, 476, 272, 2275, 657, 287, 1341, 7711, 7562, 287, 692, 11459, 270, 6767, 284, 7711, 266, 7562, 287, 1341, 320, 263, 272, 266, 6523, 287, 264, 815, 1035, 657, 287, 1341, 7562, 287, 1341, 273, 320, 692, 11276, 7933, 343, 14352, 11276, 270, 6767, 19422, 11459, 270, 6767, 264, 815, 630, 553, 514, 287, 910, 6523, 287, 1341, 272, 19422, 659, 657, 287, 1341, 5609, 287, 1341, 273, 320, 264, 0, 1012, 769, 513, 5595, 1793, 527, 13779, 4603, 267, 519, 3845, 1063, 519, 1793, 1080, 568, 476, 271, 269, 1822, 276, 332, 543, 519, 5496, 568, 476, 273, 7397, 689, 519, 1793, 1080, 269, 14117, 1769, 692, 9223, 692, 1103, 513, 5595, 1793, 527, 13779, 4603, 267, 519, 3845, 1063, 519, 1793, 1080, 568, 476, 271, 269, 1822, 276, 332, 543, 519, 5496, 568, 476, 273, 7397, 689, 519, 1793, 1080, 269, 14117, 1769, 689, 513, 9770, 17689, 568, 1031, 543, 621, 814, 513, 15423, 540, 476, 276, 269, 8660, 1535, 476, 1015, 268, 278, 544, 269, 1548, 568, 519, 3845, 1063, 519, 1101, 543, 2034, 6505, 535, 2590, 525, 593, 519, 5496, 2496, 514, 3356, 476, 271, 454, 277, 3275, 476, 1708, 272, 268, 5881, 268, 736, 307, 6734, 281, 6187, 281, 876, 266, 876, 281, 876, 476, 272, 12226, 476, 1724, 5784, 476, 271, 692, 275, 269, 278, 1321, 6515, 610, 476, 271, 269, 21916, 278, 1321, 544, 692, 15008, 1384, 13640, 600, 4394, 2016, 1384, 291, 2700, 1063, 519, 1793, 1080, 267, 546, 815, 476, 271, 269, 1822, 276, 544, 692, 291, 2700, 1063, 519, 5496, 543, 519, 1793, 1080, 267, 681, 815, 476, 273, 544, 692, 310, 320, 767, 2654, 540, 519, 1769, 267, 18494, 25883, 763, 2783, 585, 519, 3193, 9874, 538, 513, 5595, 1793, 527, 4603, 568, 2016, 607, 1384, 332, 16575, 25883, 3602, 962, 815, 3845, 1063, 519, 1101, 1931, 3193, 9874, 543, 519, 544, 628, 1931, 3193, 9874, 692, 1103, 713, 2013, 267, 544, 815, 476, 273, 780, 11997, 1384, 312, 815, 544, 16575, 305, 7933, 692, 312, 25883, 312, 815, 476, 271, 269, 21916, 278, 1321, 544, 815, 476, 275, 269, 278, 1321, 6515, 692, 763, 3845, 1063, 519, 1101, 543, 2034, 6505, 535, 2590, 525, 568, 476, 275, 269, 278, 1321, 6515, 269, 0, 258, 17086, 19634, 940, 513, 25351, 9771, 2398, 1143, 692, 272, 269, 3967, 476, 274, 267, 476, 1001, 274, 692, 2162, 5409, 9536, 8775, 692, 272, 269, 634, 1966, 3948, 267, 782, 4632, 543, 2016, 270, 4385, 1239, 454, 296, 6415, 11842, 713, 585, 1022, 1843, 609, 4090, 540, 24880, 594, 267, 855, 594, 3513, 2307, 713, 2243, 585, 513, 13551, 585, 16134, 543, 594, 6415, 2386, 594, 666, 8831, 621, 547, 2489, 3615, 780, 306, 599, 649, 723, 513, 14328, 1843, 630, 5976, 2527, 544, 267, 4463, 554, 267, 543, 8700, 700, 264, 602, 568, 7923, 547, 513, 3774, 676, 930, 4990, 540, 1448, 1489, 4010, 693, 922, 7944, 269, 1403, 649, 3180, 621, 23276, 1287, 1577, 621, 979, 543, 18711, 267, 1018, 568, 519, 3196, 602, 519, 1489, 11851, 338, 593, 519, 14610, 689, 1318, 1310, 649, 1577, 979, 607, 621, 23638, 286, 3371, 781, 513, 4605, 1384, 273, 269, 31999, 4834, 454, 300, 30291, 540, 24880, 540, 713, 13551, 281, 4399, 2765, 31551, 22607, 317, 273, 1341, 530, 317, 273, 20972, 1321, 348, 1341, 544, 9230, 327, 270, 273, 8203, 273, 23444, 342, 270, 273, 8203, 273, 264, 815, 1422, 2765, 31551, 22607, 317, 273, 266, 342, 317, 273, 20972, 274, 10592, 274, 269, 634, 3801, 693, 513, 3070, 454, 296, 729, 3206, 827, 23622, 519, 2527, 883, 513, 1448, 2527, 693, 519, 4087, 540, 519, 13551, 781, 4099, 540, 2527, 269, 901, 1131, 581, 899, 513, 2241, 28764, 609, 4358, 2990, 693, 5086, 1269, 15184, 259, 2630, 519, 8880, 267, 1141, 1269, 15184, 7807, 11927, 13064, 272, 12917, 327, 11320, 30879, 1703, 1131, 581, 513, 3196, 540, 8406, 18746, 267, 799, 814, 513, 5057, 540, 8406, 265, 7562, 263, 15184, 264, 538, 519, 4287, 540, 2220, 15781, 543, 513, 5057, 540, 8406, 265, 6523, 263, 15184, 264, 17444, 593, 519, 834, 11415, 257, 540, 519, 28764 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 24052, 2166, 12304, 267, 3109, 786, 578, 267, 543, 3043, 524, 25729, 269, 1452, 4054, 723, 1978, 4162, 602, 1118, 873, 1134, 25252, 1243, 585, 6632, 2127, 563, 2690, 1383, 267, 519, 24052, 2166, 12304, 814, 19704, 602, 31732, 8775, 689, 519, 2666, 543, 948, 1489, 519, 3529, 538, 15459, 11934, 269, 634, 3109, 786, 578, 814, 513, 2620, 3597, 1062, 602, 2636, 621, 547, 1569, 1216, 1256, 1282, 10980, 269, 634, 3043, 524, 25729, 568, 849, 27031, 540, 14700, 267, 543, 922, 5072, 666, 19671, 621, 538, 1747, 1282, 1164, 12798, 563, 1432, 717, 4900, 4270, 538, 4790, 14688, 22911, 14606, 888, 15703, 2371, 798, 1134, 538, 7683, 6632, 3037, 267, 607, 789, 616, 27031, 547, 14700, 543, 723, 7960, 547, 7639, 538, 891, 2175, 269, 2368, 1806, 1331, 519, 1216, 561, 1176, 267, 3032, 18571, 267, 6822, 613, 267, 678, 16640, 267, 543, 1082, 21263, 525, 269, 1452, 2371, 723, 9862, 547, 10110, 1216, 3533, 543, 7561, 998, 741, 5072, 267, 3762, 267, 610, 11710, 563, 5445, 616, 849, 1336, 538, 2127, 1141, 519, 15780, 568, 2673, 547, 519, 2627, 563, 1432, 17451, 13582, 10326, 717, 4900, 4270, 538, 22911, 14606, 888, 7617, 28033, 3529, 9428, 1134, 538, 6632, 3037, 286, 901, 568, 513, 1455, 2243, 4280, 676, 1082, 22254, 269, 2755, 1896, 4054, 666, 20496, 6632, 2175, 267, 711, 782, 616, 3020, 2479, 26572, 839, 563, 763, 1739, 568, 513, 1592, 540, 930, 2442, 5079, 585, 606, 28033, 3529, 602, 786, 798, 1134, 538, 6632, 3037, 912, 268, 2274, 344, 1633, 595, 2988, 816, 1107, 634, 2274, 344, 1633, 2166, 12304, 568, 513, 3728, 21212, 267, 13470, 10537, 11057, 3529, 602, 666, 3914, 909, 547, 476, 2568, 3952, 7381, 269, 898, 814, 4158, 3039, 16714, 543, 27422, 2407, 3141, 547, 9864, 12094, 269, 901, 3529, 568, 27031, 540, 513, 2647, 2039, 540, 11934, 267, 1519, 1346, 602, 616, 6632, 610, 536, 690, 4445, 563, 268, 1977, 4591, 569, 1107, 634, 1977, 2868, 569, 568, 513, 3376, 29566, 28033, 602, 3335, 1152, 10301, 476, 1428, 268, 736, 3952, 7381, 269, 898, 814, 17953, 344, 3039, 3762, 543, 27422, 15755, 11934, 267, 1818, 621, 4998, 585, 3395, 538, 2127, 609, 6632, 2175, 269, 901, 3529, 849, 1281, 1134, 538, 695, 8014, 2127, 563, 268, 1488, 4011, 10903, 2801, 1107, 1488, 4011, 10903, 2801, 568, 1776, 3376, 29566, 28033, 602, 666, 581, 1336, 538, 1585, 7306, 267, 689, 1507, 19211, 547, 1804, 4054, 269, 898, 814, 4336, 6438, 3762, 8151, 689, 2620, 3039, 547, 5835, 880, 25984, 267, 4470, 593, 519, 3099, 563, 12024, 519, 1977, 2868, 569, 267, 519, 818, 4011, 10903, 2801, 27422, 15755, 11934, 543, 1281, 1134, 538, 695, 8014, 2127, 610, 6753, 609, 5848, 2175, 563, 277, 19029, 585, 22911, 19791, 543, 667, 2086, 14606, 9537, 454, 22102, 19029, 2334, 6145, 22911, 14606, 454, 3080, 540, 519, 1390, 1919, 827, 2713, 538, 513, 6632, 2916, 568, 602, 972, 616, 7899, 540, 3681, 950, 621, 2501, 547, 4466, 1507, 4054, 602, 899, 6632, 3037, 269, 3371, 616, 513, 1906, 540, 938, 29202, 912, 268, 5545, 32712, 1107, 901, 3529, 568, 3501, 585, 1507, 10651, 610, 18126, 2094, 621, 1152, 9428, 547, 827, 476, 1015, 3952, 7381, 269, 898, 814, 4190, 267, 7184, 10981, 539, 3762, 602, 2490, 513, 10875, 2699, 538, 519, 2887, 269, 5545, 12103, 1255, 798, 1655, 538, 9864, 12094, 543, 5848, 267, 1134, 1673, 11712, 11934, 563, 268, 13928, 6229, 1107, 13928, 6229, 338, 616, 1634, 585, 741, 1397, 344, 5810, 602, 16036, 538, 5614, 267, 855, 789, 849, 723, 10694, 16714, 543, 13626, 269, 1358, 4782, 5848, 267, 15755, 11934, 543, 666, 20496, 930, 12094, 269, 2368, 2915, 6229, 2249, 1332, 3833, 1804, 630, 1575, 547, 476, 1789, 3952, 1070, 865, 581, 2386, 547, 3442, 513, 3099, 602, 13978, 593, 519, 4130, 2427, 952, 596, 2461, 3908, 593, 2230, 563, 268, 4414, 321, 644, 1107, 6271, 3529, 602, 12662, 593, 513, 9735, 5614, 4159, 568, 519, 2699, 321, 644, 269, 1452, 4054, 723, 17681, 11909, 610, 13711, 5810, 602, 3382, 519, 11953, 8371, 1354, 519, 3762, 10836, 269, 4414, 321, 644, 338, 798, 1655, 538, 5848, 267, 1134, 1673, 11712, 11934, 543, 2407, 3141, 547, 9864, 12094, 6753, 563, 268, 595, 4599, 20625, 1107, 595, 4599, 1952, 956, 616, 2442, 30120, 4054, 1813, 547, 741, 7168, 32395, 543, 5613, 630, 6518, 5017, 2648, 1040, 1358, 2097, 538, 1082, 1114, 7306, 543, 5546, 267, 865, 596, 2461, 2386, 547, 1265, 835, 602, 13352, 707, 2115, 9985, 563, 23044, 1359, 19029, 2334, 6145, 22911, 14606, 454, 6701, 596, 3168, 585, 513, 15496, 3529, 602, 786, 8853, 538, 6632, 3037, 286, 1403, 865, 267, 596, 2461, 538, 9939, 256, 1703, 616, 1896, 4190, 3681, 547, 3442, 689, 563, 3080, 540, 938, 29202, 568, 519, 2915, 6229, 3529, 269, 13928, 6229, 338, 616, 1634, 585, 741, 4190, 5810, 543, 8853, 538, 5848, 2175, 269, 1358, 2461, 849, 5266, 1507, 4054, 267, 799, 2306, 873, 513, 1390, 3903, 585, 4130, 18126, 610, 10651, 563, 5194, 4781, 568, 519, 649, 9429, 786, 578, 269, 1284, 9429, 786, 3298, 616, 5929, 4054, 609, 1279, 267, 5323, 14563, 8371, 269, 1358, 2461, 1360, 27031, 540, 6632, 11934, 543, 1118, 513, 10875, 1840, 547, 1022, 5251, 563, 13706, 519, 32482, 760, 3529, 952, 596, 2461, 3168, 585, 513, 15496, 3529, 609, 930, 3063, 4463, 269, 570, 592, 760, 4054, 666, 1332, 3833, 7381, 267, 543, 741, 5810, 616, 32154, 269, 2755, 789, 4782, 5671, 518, 2175, 267, 789, 666, 20496, 17573, 6632, 1145, 1510, 1022, 2042, 563, 7661, 267, 649, 4363, 519, 3172, 16288, 3529, 952, 596, 1616, 606, 17715, 543, 1533, 569, 4527, 538, 707, 13452, 610, 4677, 269, 13804, 565, 5362, 616, 1804, 4054, 609, 4190, 32395, 602, 9329, 5863, 256, 1358, 3580, 798, 1655, 538, 5594, 5671, 518, 11934, 855, 666, 6023, 17573, 7509, 1510, 3390, 563, 303, 710, 19029, 2334, 6145, 22911, 14606, 454, 303, 710, 4054, 616, 1419, 2219, 540, 607, 10980, 2389, 26985, 543, 2111, 547, 7639, 538, 3819, 267, 22501, 11934, 269, 1717, 267, 972, 616, 2965, 1896, 2249, 540, 12566, 4054, 602, 4782, 6632, 614, 11934, 269, 1452, 968, 342, 564, 3037, 533, 1149, 892, 1331, 519, 10981, 331, 14709, 12566, 630, 303, 19434, 28580, 20364, 1070, 1793, 1662, 12566, 630, 303, 19434, 14248, 328, 2714, 4512, 1070, 1279, 29566, 12566, 630, 303, 19434, 5493, 755, 5142, 1070, 543, 24052, 2166, 12304, 630, 307, 1314, 18754, 1253, 747, 636, 1916, 10376, 540, 891, 6632, 3037, 533, 1149, 814, 2189, 4162, 602, 5512, 621, 547, 8853, 538, 5848, 2175, 269, 1280, 1383, 267, 519, 10981, 331, 14709, 12566, 814, 513, 2620, 3597, 1062, 602, 2636, 621, 547, 1569, 1216, 1256, 1282, 5712, 540, 10980, 269, 634, 1793, 1662, 12566, 814, 13549, 6438, 3762, 602, 8774, 4430, 1216, 3533, 267, 1247, 519, 1279, 29566, 12566, 814, 10253, 593, 922, 19271, 602, 948, 2149, 621, 689, 16507, 3676, 563, 4407, 1034, 533, 1149, 4782, 1134, 1673, 11712, 11934, 267, 891, 6632, 27940, 559, 533, 1149, 666, 581, 513, 1390, 4781, 585, 2127, 12155, 547, 14700, 610, 8391, 1164, 5666, 540, 11811, 269, 6333, 835, 540, 891, 2185, 8677, 952, 596, 2461, 3168, 585, 513, 4190, 28033, 3529, 602, 666, 20496, 6632, 2175, 563, 301, 583, 19029, 2334, 6145, 22911, 14606, 454, 2467, 616, 513, 3099, 540, 2428, 4054, 602, 899, 6632, 3037, 267, 1519, 9221, 22756, 267, 6328, 601, 22756, 267, 543, 30646, 269, 3962, 1826, 540, 3529, 814, 1114, 4170, 585, 3395, 538, 6632, 3037, 267, 865, 621, 568, 1271, 547, 917, 1018, 596, 616, 3168, 585, 1354, 7446, 513, 3529, 269, 30446, 18133, 4054, 2154, 2620, 267, 5848, 11934, 609, 1434, 12775, 547, 8853, 563, 5445, 849, 20496, 10036, 11934, 607, 1279, 607, 789, 616, 711, 1216, 8421, 3022, 269, 18171, 601, 18133, 4054, 4782, 1769, 547, 5420, 11934, 602, 616, 1134, 1673, 11712, 855, 666, 20496, 17573, 14700, 269, 1325, 12107, 4054, 991, 22501, 3138, 600, 11934, 609, 1434, 12775, 543, 20808, 7509, 1134, 563, 2691, 7446, 513, 2428, 3529, 585, 6632, 3037, 267, 621, 568, 1271, 547, 2015, 519, 2450, 540, 519, 3529, 543, 922, 3597, 1062, 269, 2368, 2428, 4054, 666, 1332, 3833, 1804, 267, 543, 741, 5072, 666, 3262, 856, 2647, 267, 1818, 873, 2352, 547, 13003, 2663, 269, 898, 568, 2141, 1655, 547, 5077, 609, 513, 2199, 21543, 610, 5251, 3318, 1354, 14045, 547, 2030, 2428, 4054, 538, 6632, 3037, 2175, 563, 293, 8816, 19029, 2334, 6145, 22911, 14606, 454, 2252, 596, 2661, 538, 606, 1858, 609, 6632, 3037, 267, 596, 949, 1589, 596, 666, 1406, 1332, 4829, 4054, 269, 1717, 267, 972, 616, 2965, 1896, 8677, 540, 4829, 4054, 602, 798, 1134, 538, 6632, 3037, 269, 3371, 616, 513, 1906, 540, 519, 1655, 3681, 912, 268, 7442, 878, 582, 19029, 1107, 1452, 4054, 4782, 2620, 267, 1134, 1673, 11712, 11934, 855, 666, 20496, 17573, 14700, 269, 1358, 616, 849, 27031, 540, 1164, 11195, 2157, 563, 268, 22216, 787, 19029, 1107, 5637, 6653, 543, 11877, 22269, 4054, 798, 1134, 538, 6632, 11934, 269, 1358, 616, 2705, 267, 811, 11630, 547, 3597, 4232, 267, 865, 1118, 2386, 519, 12775, 568, 1434, 563, 268, 8431, 19029, 1107, 8431, 4054, 899, 5848, 2175, 543, 786, 1256, 20496, 5618, 5712, 540, 14700, 269, 1358, 616, 6213, 547, 4411, 5210, 267, 865, 789, 616, 12630, 538, 513, 6870, 4087, 563, 268, 3212, 778, 19029, 1107, 3212, 778, 4054, 849, 4782, 2620, 267, 1134, 1673, 11712, 11934, 855, 666, 11883, 609, 17573, 14700, 1732, 982, 1034, 824, 4829, 4054, 563, 268, 1773, 636, 19029, 1107, 1773, 636, 4054, 899, 5848, 2175, 543, 20496, 5618, 14700, 5712, 1732, 982, 1034, 824, 4829, 4054, 563, 30943, 19029, 585, 22911, 19791, 454, 19185, 547, 1039, 930, 4054, 547, 707, 3959, 855, 14126, 827, 6632, 2127, 286, 3143, 991, 547, 31361, 256, 1703, 616, 7899, 540, 5065, 4054, 602, 798, 1134, 538, 6632, 2127, 563, 2080, 616, 513, 1906, 540, 938, 29202, 912, 268, 4210, 2086, 6519, 18718, 630, 5226, 2075, 639, 22833, 565, 528, 264, 1107, 589, 1804, 267, 1533, 569, 3529, 602, 666, 1332, 909, 547, 476, 3199, 3952, 7381, 267, 519, 32761, 3043, 18073, 568, 3501, 585, 4946, 12094, 543, 5898, 547, 1022, 5251, 269, 898, 7109, 919, 6360, 21622, 543, 32761, 344, 4609, 267, 543, 922, 2620, 5072, 1118, 621, 11259, 547, 10980, 543, 11761, 563, 268, 4414, 32712, 630, 288, 1356, 6299, 5300, 264, 1107, 6271, 1390, 4781, 585, 695, 8014, 9634, 267, 519, 2699, 25308, 666, 3914, 15627, 540, 476, 1911, 3952, 610, 811, 269, 898, 27422, 5848, 11934, 855, 666, 20496, 17573, 14700, 267, 1818, 621, 513, 1434, 3903, 585, 1970, 268, 2391, 2127, 269, 3958, 267, 922, 6505, 2699, 3762, 1118, 621, 513, 10875, 1840, 547, 1022, 2887, 5251, 563, 268, 5211, 21960, 577, 630, 289, 564, 3121, 562, 580, 571, 264, 1107, 1403, 596, 2461, 3168, 585, 513, 4130, 3529, 602, 1869, 24502, 513, 24362, 267, 2119, 519, 5757, 2840, 577, 269, 19663, 476, 1789, 268, 2004, 3952, 7381, 267, 713, 28301, 3529, 568, 27031, 540, 6632, 11934, 543, 17573, 14700, 269, 4706, 4190, 890, 9934, 13626, 8591, 1719, 543, 9403, 547, 519, 5251, 782, 1032, 563, 268, 4563, 717, 636, 630, 301, 903, 21542, 861, 331, 341, 1738, 320, 264, 1107, 634, 3109, 10733, 568, 513, 1507, 547, 5420, 13355, 3529, 602, 9428, 476, 2412, 268, 2568, 3952, 7381, 269, 898, 1281, 1655, 538, 5848, 610, 32761, 344, 11934, 855, 666, 20496, 13350, 14700, 269, 4706, 10058, 24814, 3762, 2490, 6505, 18707, 540, 5835, 267, 10538, 267, 543, 2699, 538, 519, 2887, 267, 1818, 621, 513, 1483, 1796, 719, 538, 519, 5251, 563, 4537, 16421, 2334, 6145, 22911, 14606, 454, 22428, 596, 2461, 3168, 585, 19211, 602, 899, 6632, 3037, 282, 972, 616, 513, 1906, 3681, 547, 3442, 689, 269, 3371, 616, 513, 1906, 540, 938, 29202, 281, 476, 272, 269, 5545, 623, 1512, 529, 630, 303, 1512, 529, 795, 777, 517, 3821, 264, 1107, 901, 28033, 21906, 568, 3501, 585, 6632, 267, 536, 690, 4445, 2127, 563, 2005, 779, 27031, 540, 1312, 3141, 543, 12094, 543, 7472, 10347, 3043, 5810, 538, 519, 5614, 269, 476, 273, 269, 4210, 2086, 10897, 1446, 320, 630, 305, 327, 617, 30705, 1258, 24620, 636, 264, 1107, 6271, 5140, 3903, 585, 6632, 2127, 267, 713, 20842, 1446, 320, 14560, 15755, 267, 536, 690, 4445, 11934, 269, 898, 7472, 4190, 3043, 610, 11909 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2203, 8098, 1080, 2942, 7403, 950, 540, 2942, 2418, 568, 1360, 1507, 543, 30050, 269, 769, 938, 4259, 621, 568, 10257, 547, 2154, 602, 519, 11664, 540, 8390, 568, 4130, 982, 476, 272, 270, 274, 267, 1317, 519, 5506, 9266, 22185, 10834, 2436, 547, 4894, 7508, 2418, 689, 1535, 269, 1403, 14255, 269, 3944, 284, 293, 3201, 10345, 630, 1492, 9949, 264, 543, 1535, 3568, 7508, 2418, 267, 1287, 513, 7508, 1871, 630, 2793, 264, 568, 8120, 269, 1403, 14255, 269, 3944, 284, 15045, 16604, 267, 7508, 2418, 616, 6569, 689, 1535, 1991, 547, 7384, 519, 11664, 540, 8390, 692, 15916, 256, 1280, 1250, 2079, 630, 11687, 3146, 11687, 10727, 264, 594, 991, 547, 2268, 519, 3213, 324, 2310, 540, 8390, 269, 3733, 1966, 568, 602, 1250, 1239, 1305, 2270, 1312, 2942, 543, 2318, 2418, 543, 585, 930, 4632, 594, 1205, 2942, 1611, 269, 1924, 267, 519, 22008, 3085, 1405, 1118, 2631, 267, 855, 594, 991, 547, 2268, 621, 269, 594, 1223, 1039, 513, 3586, 547, 782, 2418, 538, 1250, 1239, 267, 865, 602, 519, 22008, 1223, 1118, 2631, 267, 855, 22008, 568, 6213, 512, 9502, 281, 634, 11664, 540, 8390, 267, 610, 22008, 267, 568, 513, 8579, 6482, 602, 2982, 875, 513, 1305, 540, 1239, 2798, 568, 7856, 1472, 519, 1611, 540, 519, 1305, 269, 769, 824, 1913, 267, 513, 1305, 540, 1239, 568, 1178, 335, 1117, 543, 519, 22008, 3830, 568, 1031, 547, 2268, 519, 8390, 538, 2798, 689, 1142, 824, 543, 519, 1611, 3213, 324, 2310, 540, 8390, 269, 6271, 1259, 547, 4766, 519, 8390, 540, 513, 1449, 568, 5173, 519, 11664, 540, 8390, 267, 610, 22008, 269, 634, 22008, 20475, 519, 8390, 607, 513, 6871, 540, 519, 1611, 267, 543, 568, 7229, 607, 5205, 281, 22008, 260, 815, 630, 16256, 270, 311, 8663, 264, 1911, 269, 769, 519, 8047, 267, 519, 22008, 568, 9053, 950, 519, 12676, 4679, 538, 8167, 547, 5834, 634, 11664, 540, 8390, 568, 513, 1259, 547, 2268, 875, 3262, 856, 2418, 616, 538, 513, 10471, 3448, 547, 519, 1611, 20193, 568, 7229, 607, 281, 3213, 324, 2310, 540, 8390, 815, 21566, 1315, 13179, 269, 1141, 281, 21566, 815, 3044, 11539, 540, 10471, 269, 13179, 815, 1611, 540, 10471, 269, 901, 5850, 6941, 875, 547, 5173, 519, 11664, 540, 8390, 585, 513, 10471, 538, 590, 4916, 692, 290, 4141, 2310, 540, 7352, 566, 18185, 269, 901, 1907, 786, 5173, 519, 11664, 540, 8390, 540, 513, 1305, 540, 1239, 269, 634, 11664, 540, 8390, 568, 513, 2268, 540, 3262, 602, 11148, 547, 581, 1031, 950, 621, 568, 2556, 547, 5635, 519, 3262, 540, 2338, 538, 1079, 14449, 602, 723, 1360, 1114, 1797, 907, 1677, 1685, 519, 9819, 267, 3274, 4283, 707, 1239, 883, 519, 1257, 7901, 2630, 267, 2901, 835, 6060, 829, 1899, 610, 607, 513, 269, 634, 11664, 540, 8390, 630, 20302, 1070, 849, 1634, 607, 519, 3448, 3044, 11539, 630, 11965, 291, 264, 568, 4122, 1031, 538, 5506, 269, 9373, 519, 2418, 9674, 676, 513, 26893, 538, 713, 11664, 540, 8390, 9498, 547, 917, 519, 3448, 3044, 11539, 634, 11664, 540, 8390, 949, 711, 723, 1022, 2495, 585, 1239, 593, 606, 8884, 4336, 269, 1280, 1383, 267, 1034, 2837, 10253, 630, 324, 3052, 1421, 17622, 267, 18278, 3092, 4700, 616, 8884, 10253, 602, 666, 1491, 1312, 2318, 543, 2942, 2418, 267, 6466, 519, 22398, 9109, 2837, 666, 2760, 581, 1447, 982, 4642, 267, 799, 568, 519, 2347, 9000, 540, 8143, 1648, 634, 1449, 18802, 568, 2942, 1079, 2053, 519, 3017, 540, 519, 2845, 2000, 1731, 9685, 689, 519, 1093, 24480, 2203, 543, 519, 2942, 23481, 2203, 267, 910, 273, 15631, 15150, 278, 269, 280, 3583, 280, 910, 8987, 279, 3199, 269, 9262, 274, 1321, 13580, 815, 476, 15836, 275, 269, 4198, 277, 609, 606, 2404, 533, 17032, 540, 2999, 271, 269, 1822, 272, 692, 2162, 1403, 1250, 11664, 540, 8390, 568, 476, 5325, 9077, 568, 621, 3617, 692, 5591, 2339, 875, 649, 1118, 7403, 267, 972, 786, 581, 8390, 630, 320, 3262, 540, 1239, 1040, 6875, 476, 1911, 1004, 543, 2307, 873, 547, 7058, 707, 2085, 543, 596, 786, 1205, 513, 2039, 540, 2164, 281, 930, 786, 581, 1932, 1970, 630, 1410, 3250, 550, 256, 1070, 930, 1932, 1164, 630, 2254, 865, 1434, 32656, 898, 568, 519, 1482, 609, 1022, 540, 938, 8047, 6901, 910, 952, 649, 10398, 8291, 5277, 476, 1911, 2053, 649, 4465, 1405, 7006, 1619, 4010, 519, 1482, 2179, 540, 5714, 1142, 942, 9208, 11539, 568, 513, 2268, 540, 875, 1454, 8390, 972, 568, 1369, 513, 1239, 1305, 20136, 568, 1271, 1317, 538, 1082, 3871, 267, 1004, 1810, 1405, 1616, 547, 1294, 513, 2603, 540, 8390, 910, 1004, 4782, 5812, 1299, 7123, 2773, 1317, 621, 781, 4443, 547, 1544, 1472, 1299, 1447, 19408, 269, 2690, 1383, 267, 1577, 781, 2161, 596, 616, 14045, 1063, 1079, 3549, 547, 1902, 538, 602, 1312, 723, 519, 1482, 1297, 540, 3328, 269, 4256, 3490, 568, 711, 519, 1482, 269, 634, 7436, 538, 6128, 616, 856, 540, 476, 1839, 543, 519, 7436, 540, 2296, 616, 856, 540, 476, 1911, 269, 4935, 267, 621, 2306, 1100, 2631, 547, 5635, 476, 1015, 609, 476, 736, 269, 1879, 649, 6460, 891, 1079, 2418, 883, 14170, 540, 2039, 267, 649, 1294, 602, 519, 11664, 540, 2039, 585, 1305, 589, 568, 3152, 982, 602, 540, 1305, 645, 269, 4935, 972, 568, 3152, 24980, 610, 8390, 538, 1305, 589, 692, 2162, 1772, 621, 2009, 585, 519, 3213, 324, 2310, 540, 7352, 566, 547, 581, 692, 2005, 568, 849, 1767, 547, 581, 9797, 7729, 14954, 2094, 922, 11664, 540, 7729, 342, 1145, 568, 2318, 269, 634, 5860, 7455, 538, 7612, 476, 273, 814, 513, 3476, 2766, 547, 519, 2451, 982, 547, 519, 1318, 269, 634, 1383, 538, 7612, 476, 273, 568, 513, 3892, 602, 568, 7729, 14954, 547, 519, 2451, 269, 898, 568, 849, 1767, 547, 581, 11874, 7729, 14954, 2094, 519, 7729, 342, 1145, 11664, 568, 2942, 21942, 781, 3213, 324, 2310, 540, 28024, 342, 1145, 18185, 281, 18461, 1863, 547, 2119, 713, 2241, 2228, 7729, 342, 1145, 9498, 547, 1265, 519, 11664, 543, 824, 10305, 540, 2268, 540, 3844, 12402, 269, 3807, 4283, 519, 1305, 540, 2418, 607, 26893, 9674, 1239, 543, 4945, 593, 5173, 547, 1205, 519, 1267, 540, 21942, 781, 11664, 540, 7729, 342, 1145, 692, 29012, 267, 519, 678, 476, 273, 1871, 6645, 721, 602, 1152, 476, 271, 269, 274, 260, 540, 519, 8390, 538, 519, 3446, 1448, 25939, 540, 519, 1053, 538, 519, 3732, 666, 581, 6045, 676, 741, 4463, 269, 769, 2110, 267, 649, 1131, 991, 547, 2697, 1776, 811, 1271, 4756, 267, 971, 607, 1297, 540, 3108, 6594, 267, 952, 17782, 513, 2875, 781, 3446, 1448, 3328, 568, 1271, 547, 721, 634, 11664, 540, 8390, 1058, 581, 17223, 1152, 585, 1239, 6027, 593, 513, 5223, 4336, 267, 607, 891, 616, 519, 7403, 602, 666, 1152, 1491, 1875, 24308, 2418, 269, 1879, 3339, 2358, 676, 519, 1611, 1871, 540, 519, 7403, 267, 519, 2165, 1412, 11664, 540, 8390, 540, 519, 681, 5960, 291, 267, 22008, 630, 681, 5960, 291, 3738, 1412, 16673, 581, 1031, 547, 2057, 13509, 3213, 324, 2310, 540, 8990, 267, 849, 1634, 607, 681, 8293, 1563, 11887, 519, 6708, 540, 519, 13065, 540, 519, 8200, 4756, 799, 666, 581, 6045, 676, 519, 4830, 4756, 269, 1635, 3168, 693, 681, 317, 273, 1871, 835, 666, 9794, 2436, 519, 9695, 3830, 568, 1434, 2614, 547, 581, 1031, 20134, 18323, 3213, 324, 2310, 540, 18650, 269, 715, 12839, 14687, 547, 519, 6175, 538, 519, 1570, 781, 4187, 950, 519, 2837, 2418, 616, 2799, 269, 4107, 569, 267, 4702, 2326, 8858, 513, 2942, 2837, 11664, 540, 4187, 799, 1797, 8766, 11664, 2418, 14168, 2614, 269, 634, 11664, 540, 8390, 22008, 267, 568, 3274, 519, 3044, 11539, 630, 527, 1345, 513, 2268, 540, 13065, 610, 8390, 264, 3448, 547, 519, 1611, 540, 513, 3892, 780, 2162, 3213, 324, 2310, 540, 7352, 566, 16754, 6726, 566, 609, 9185, 692, 2252, 596, 1611, 519, 1379, 540, 513, 8579, 1449, 630, 272, 910, 29530, 1981, 1070, 1287, 519, 1379, 568, 711, 513, 1463, 1599, 540, 519, 3213, 324, 2310, 540, 7352, 566, 269, 898, 568, 513, 1599, 540, 519, 3044, 11539, 267, 519, 3017, 596, 1616, 547, 3713, 630, 320, 6093, 1871, 1522, 581, 476, 272, 31901, 11539, 1070, 519, 13672, 1981, 596, 786, 3398, 630, 320, 6093, 1871, 568, 476, 276, 15992, 543, 519, 3732, 2450, 3213, 324, 2310, 540, 7352, 566, 18185, 269, 9373, 7422, 538, 4216, 267, 946, 513, 5094, 1899, 610, 26893, 1063, 1142, 6482, 269, 519, 18278, 543, 17622, 10253, 11863, 1312, 2318, 543, 2942, 2418, 267, 799, 666, 23380, 519, 2268, 630, 604, 519, 13220, 3444, 519, 4336, 1040, 901, 568, 849, 3006, 5219, 547, 607, 513, 11664, 540, 13065, 9498, 27010, 2418, 585, 12499, 268, 543, 954, 817, 599, 14170, 540, 8390, 616, 3622, 476, 276, 260, 543, 476, 1015, 260, 6606, 269, 1280, 29508, 5342, 936, 1279, 1974, 267, 14170, 540, 476, 278, 260, 543, 476, 1428, 260, 616, 811, 6093, 269, 1403, 519, 12499, 12431, 599, 11664, 540, 8390, 20489, 476, 1015, 260, 610, 519, 954, 817, 599, 11664, 540, 8390, 20489, 476, 736, 9077, 1287, 621, 568, 942, 547, 2697, 519, 2707, 540, 519, 8390, 769, 5506, 3069, 543, 7194, 267, 519, 11664, 540, 8390, 630, 20302, 264, 568, 513, 28348, 2268, 540, 24980, 540, 513, 5506, 3892, 269, 898, 568, 849, 1634, 607, 1770, 1242, 1981, 610, 519, 8390, 11664, 269, 634, 6207, 1871, 540, 519, 22008, 568, 28069, 634, 715, 12839, 5687, 626, 528, 568, 4922, 1031, 538, 1082, 3156, 585, 513, 3099, 540, 5301, 1141, 513, 2942, 2837, 11664, 568, 2838, 269, 9861, 606, 715, 12839, 5687, 626, 528, 519, 4187, 8813, 607, 519, 2837, 4679, 267, 1818, 621, 3226, 3730, 538, 513, 1297, 540, 1114, 2127, 692, 2162, 14174, 304, 281, 1548, 568, 519, 11664, 540, 8390, 692, 1892, 634, 11664, 540, 8390, 568, 14661, 865, 602, 519, 2418, 616, 593, 513, 1770, 1652, 4336, 269, 5221, 540, 713, 16369, 267, 596, 666, 946, 519, 11664, 540, 8390, 3079, 540, 519, 3044, 11539, 547, 5635, 519, 8390, 538, 1239, 602, 723, 1114, 4559, 610, 602, 723, 1360, 1114, 1797, 454, 1892, 693, 542, 568, 519, 5223, 540, 6045, 13065, 547, 519, 2698, 13065, 602, 6645, 827, 519, 4222, 540, 5276, 7681, 1063, 519, 4632, 267, 2161, 2473, 543, 962, 454, 1892, 11664, 4214, 281, 476, 272, 269, 513, 1871, 267, 538, 6128, 267, 602, 5526, 538, 4395, 540, 543, 12750, 625, 1776, 1871, 281, 476, 273, 269, 513, 1871, 267, 538, 269, 6258, 811, 454, 1892, 4855, 519, 1871, 540, 1611, 269, 8827, 630, 274, 264, 1403, 519, 1611, 543, 11664, 540, 8390, 540, 513, 1239, 616, 476, 1428, 543, 476, 4366, 6606, 267, 1287, 1265, 519, 1871, 540, 3044, 11539, 269, 8827, 630, 275, 264, 1403, 562, 815, 476, 276, 267, 1535, 392, 482, 815, 476, 277, 2073, 3852, 352, 1535, 476, 273, 815, 476, 278, 4792, 2073, 1287, 5173, 519, 11664, 540, 454, 1892, 634, 11664, 540, 8390, 1058, 581, 17223, 1152, 585, 1239, 6027, 593, 513, 5223, 4336, 267, 607, 891, 616, 519, 7403, 602, 666, 1152, 1491, 1875, 24308, 2418, 269, 634, 11664, 540, 8390, 949, 711, 723, 1022, 2495, 585, 1239, 593, 606, 8884, 4336, 454, 1892, 1677, 5635, 8390, 1851, 7592, 609, 1114, 1797, 543, 7516, 267, 835, 666, 2769, 8390, 8167, 958, 547, 519, 7592, 262, 1611, 676, 12270, 519, 2268, 540, 8390, 676, 519, 16023, 1611, 269, 901, 568, 519, 2013, 950, 12719, 22008, 338, 610, 16302, 14170, 540, 8390, 630, 282, 1294, 623, 2946, 18350, 517, 1696, 620, 269, 476, 1001, 272, 585, 513, 4901, 540, 519, 5413, 540, 22008, 476, 273, 2020, 20059, 618, 6103, 27391, 531, 3213, 324, 2310, 2986, 7352, 566, 290, 4141, 2310, 540, 7352, 566, 630, 528, 22008, 264, 568, 513, 28348, 2268, 540, 24980, 540, 513, 5506, 3892, 269, 898, 568, 849, 1634, 607, 519, 8390, 11664, 610, 3274, 1770, 1242, 1981, 269, 634, 6207, 1871, 540, 519, 3213, 324, 2310, 540, 7352, 566, 568, 3006, 1572, 28731, 9208, 8061, 2747, 630, 528, 681, 16256, 1070, 799, 568, 6829, 607, 513, 6871, 769, 2259, 267, 519, 8107, 23807, 481, 2615, 540, 8390, 543, 519, 24980, 786, 581, 8719, 676, 519, 2323, 17898, 1180, 532, 3732, 2418, 269, 2913, 721, 1413, 693, 519, 8107, 23807, 481, 2615, 540, 8390 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4892, 7948, 1405, 10146, 1946, 741, 6068, 3283, 941, 12955, 28870, 1472, 519, 1158, 585, 513, 2014, 602, 8604, 22394, 543, 20775, 547, 741, 2729, 269, 5441, 3786, 4926, 7153, 607, 3905, 321, 2644, 540, 17933, 267, 1141, 1053, 6896, 17600, 267, 4001, 15564, 267, 543, 824, 2621, 547, 6318, 4656, 827, 519, 2112, 543, 5000, 4708, 12909, 780, 3080, 7986, 1895, 602, 4646, 1282, 713, 942, 729, 4841, 585, 513, 14891, 5980, 630, 306, 9169, 1070, 4171, 2818, 23647, 585, 29355, 9111, 543, 3540, 2924, 269, 590, 9169, 5129, 513, 1713, 1909, 538, 12180, 23405, 2066, 2852, 10034, 543, 4872, 2429, 519, 2197, 269, 1358, 849, 5280, 11282, 519, 7372, 5651, 1807, 1756, 22415, 1127, 4371, 538, 5239, 543, 5437, 476, 3422, 280, 267, 5373, 7366, 540, 5215, 540, 5171, 945, 18796, 606, 7525, 1439, 547, 772, 2529, 269, 9525, 538, 10476, 780, 5194, 2629, 2460, 540, 519, 4550, 21351, 3350, 3238, 8908, 4187, 269, 8479, 2367, 14718, 585, 931, 5524, 883, 519, 11439, 2533, 3459, 8781, 741, 8908, 6486, 267, 32222, 15632, 267, 610, 6028, 519, 2197, 15587, 547, 2057, 7674, 538, 10476, 269, 1452, 6411, 540, 1219, 4800, 3090, 1242, 3395, 17140, 1851, 3013, 781, 6107, 3823, 519, 2112, 4674, 780, 11101, 267, 28245, 899, 13191, 674, 25352, 543, 17124, 18498, 1031, 741, 5867, 547, 3717, 856, 1996, 519, 4655, 269, 4256, 13047, 11685, 6273, 9118, 11655, 543, 13794, 547, 2243, 519, 13919, 540, 772, 2529, 269, 3527, 538, 14913, 5607, 780, 1262, 25842, 540, 519, 14640, 8862, 541, 11873, 4373, 15987, 7620, 3500, 547, 4431, 267, 1857, 6644, 5555, 17146, 1813, 547, 29287, 2604, 689, 4550, 21351, 1486, 22246, 269, 7971, 5974, 3576, 5469, 267, 609, 1256, 930, 15061, 1876, 16234, 10912, 585, 632, 268, 525, 5632, 566, 610, 15639, 269, 16828, 267, 5518, 9400, 29337, 7550, 513, 3609, 1634, 607, 834, 309, 28126, 1436, 2437, 7930, 4227, 7708, 641, 2157, 1247, 2810, 1489, 585, 3162, 19176, 4229, 780, 3528, 476, 3192, 274, 267, 782, 1977, 8396, 4559, 1185, 2451, 10476, 267, 3927, 10678, 1463, 772, 2529, 269, 7589, 538, 519, 2112, 269, 9282, 15223, 580, 517, 8593, 547, 19797, 4229, 538, 476, 3192, 276, 267, 519, 4550, 21351, 3350, 16309, 538, 8744, 3007, 547, 519, 3520, 5558, 540, 2112, 543, 16550, 14519, 547, 556, 29264, 519, 4539, 540, 6304, 13383, 780, 1103, 3932, 267, 519, 4550, 21351, 3350, 1282, 519, 10476, 2782, 5713, 607, 513, 3532, 1383, 540, 4961, 1210, 12560, 1797, 547, 3310, 4914, 3609, 3664, 269, 3414, 13889, 267, 4187, 267, 543, 3860, 4082, 267, 8723, 2043, 1500, 741, 9739, 4862, 543, 4957, 519, 1576, 540, 1686, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 299, 28515, 1143, 9411, 519, 476, 3422, 271, 781, 607, 519, 4105, 3196, 538, 1977, 6214, 267, 14964, 513, 5951, 540, 22920, 4881, 689, 519, 28626, 5736, 998, 519, 1715, 20958, 543, 3564, 269, 589, 3946, 727, 1762, 7022, 267, 3627, 674, 269, 17394, 267, 1185, 1175, 1044, 11221, 593, 519, 9153, 547, 8831, 519, 4652, 31944, 16786, 540, 6963, 269, 27565, 1143, 11262, 519, 2104, 267, 607, 2107, 6202, 1522, 723, 1767, 269, 8616, 676, 519, 1439, 540, 519, 8717, 267, 12666, 14985, 729, 538, 771, 6783, 267, 609, 930, 540, 922, 3844, 10054, 7745, 676, 519, 1995, 540, 519, 5612, 18631, 1296, 269, 898, 814, 2943, 547, 9156, 563, 1432, 5949, 286, 1703, 568, 267, 540, 1576, 267, 513, 1396, 1415, 540, 3044, 4267, 267, 689, 519, 2797, 547, 519, 2686, 547, 519, 5626, 267, 1142, 5275, 547, 2491, 519, 1390, 30331, 10052, 2040, 4364, 909, 538, 602, 782, 26928, 8360, 267, 968, 1492, 476, 2568, 781, 1848, 1677, 930, 267, 519, 4143, 3815, 729, 513, 1279, 936, 16746, 5114, 547, 519, 1065, 11306, 543, 533, 29136, 540, 476, 4198, 271, 781, 14883, 1143, 269, 1677, 1866, 267, 519, 24659, 2680, 729, 519, 32117, 2112, 538, 10476, 267, 26354, 606, 11685, 3350, 602, 3294, 15583, 730, 883, 7839, 771, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 12901, 328, 8862, 541, 11873, 538, 519, 2475, 257, 607, 851, 540, 834, 19615, 1315, 12668, 1299, 4762, 26555, 1315, 10476, 2782, 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, 1015, 281, 10435, 1715, 14886, 609, 7756, 19932, 692, 5970, 596, 2479, 1558, 2576, 945, 14753, 1776, 1893, 286, 9320, 789, 6410, 1934, 689, 513, 1114, 2197, 267, 610, 6148, 741, 1920, 14753, 513, 1114, 1893, 693, 1753, 269, 898, 666, 581, 2731, 3579, 547, 1451, 1007, 1913, 543, 2453, 689, 824, 4654, 256, 1809, 3006, 621, 666, 849, 581, 14845, 950, 649, 2119, 547, 946, 938, 1378, 1893, 1247, 849, 1210, 930, 1913, 610, 8239, 3652, 689, 1776, 1893, 780, 1607, 568, 1945, 602, 4523, 513, 2603, 950, 1004, 616, 1565, 513, 2034, 1893, 269, 589, 834, 16149, 1893, 257, 568, 1022, 1893, 602, 596, 3717, 538, 1840, 547, 707, 1101, 1893, 269, 1280, 1383, 267, 952, 596, 8057, 909, 6340, 5053, 855, 1631, 596, 2811, 3843, 547, 1451, 2296, 267, 1287, 2296, 1131, 581, 707, 2034, 1893, 780, 2691, 649, 1376, 1565, 513, 2034, 1893, 267, 649, 1419, 1265, 6000, 11544, 1919, 909, 513, 3787, 1063, 938, 1079, 4654, 269, 1284, 1522, 18417, 946, 513, 2262, 689, 835, 1893, 950, 649, 5921, 547, 946, 513, 2262, 689, 519, 824, 1893, 269, 2107, 649, 1522, 1246, 519, 8239, 3652, 540, 938, 1101, 1893, 3079, 540, 519, 3283, 585, 938, 2034, 1893, 269, 901, 568, 1572, 834, 331, 4833, 4483, 2437, 1317, 649, 616, 22151, 1018, 649, 2907, 917, 827, 835, 1893, 936, 547, 519, 1007, 1893, 649, 2811, 1565, 780, 15919, 1893, 4483, 666, 2014, 2042, 538, 938, 2034, 1893, 1565, 269, 1879, 713, 4523, 267, 621, 781, 1572, 834, 17463, 4483, 257, 610, 834, 5793, 12401, 1701, 20134, 4483, 1797, 602, 1945, 649, 798, 8850, 538, 938, 1101, 1893, 7475, 909, 4929, 9073, 538, 938, 2034, 1893, 269, 1280, 1383, 267, 952, 596, 4121, 538, 707, 1101, 1893, 602, 21371, 2097, 1310, 17205, 267, 899, 834, 1492, 1433, 2462, 2437, 1287, 596, 1522, 723, 8373, 19551, 547, 2322, 21371, 1354, 17205, 538, 2296, 267, 899, 834, 1492, 2462, 1433, 1701, 2334, 781, 2942, 4483, 780, 3719, 972, 781, 849, 971, 513, 3364, 607, 834, 27168, 4483, 10590, 15474, 4483, 1797, 602, 1945, 649, 798, 8850, 538, 938, 1101, 1893, 2965, 2337, 721, 1451, 938, 2034, 1893, 811, 3362, 269, 1280, 3236, 267, 952, 1312, 707, 1101, 543, 2034, 4654, 723, 2147, 8231, 3029, 585, 2250, 13029, 267, 1287, 596, 1522, 1265, 621, 2653, 547, 3314, 875, 547, 1106, 2250, 13029, 538, 707, 2034, 1893, 269, 2334, 781, 2318, 4483, 780, 4131, 803, 2995, 596, 513, 1650, 827, 1250, 3659, 12756, 945, 4810, 1312, 2318, 543, 2942, 4483, 1247, 1565, 2296, 269, 12756, 729, 4535, 538, 6792, 543, 12038, 1152, 5053, 2394, 1352, 3323, 9656, 1934, 538, 3013, 269, 2311, 1101, 267, 1352, 1185, 513, 2182, 942, 1620, 1200, 3610, 543, 15032, 1317, 3388, 32131, 865, 1114, 689, 5053, 269, 2701, 1500, 6266, 540, 9073, 950, 1352, 6836, 6158, 538, 2296, 1932, 269, 6884, 1352, 1131, 3575, 909, 519, 1931, 540, 1913, 538, 5220, 267, 1175, 899, 594, 6045, 4505, 269, 1656, 3006, 1352, 1131, 2161, 1919, 602, 4769, 1405, 3833, 1118, 2631, 1317, 1352, 1031, 5053, 8239, 3652, 538, 2296, 269, 2334, 729, 2942, 4483, 780, 4913, 267, 607, 942, 4682, 676, 267, 12756, 8068, 602, 930, 2694, 540, 2296, 941, 4443, 585, 1200, 982, 1866, 269, 2290, 1554, 267, 1282, 2542, 1895, 267, 789, 1224, 513, 1650, 1141, 519, 1915, 729, 4743, 834, 333, 969, 748, 257, 827, 4758, 513, 6881, 693, 1153, 269, 12756, 5612, 6956, 1018, 834, 333, 969, 748, 257, 5921, 1256, 1498, 1352, 22821, 1405, 4862, 602, 2262, 1354, 269, 1215, 1705, 1352, 1174, 621, 286, 4270, 267, 5053, 814, 513, 1360, 2147, 2262, 910, 834, 333, 969, 3930, 334, 257, 1107, 799, 1797, 4010, 519, 1482, 3364, 256, 1924, 7064, 547, 2318, 4483, 689, 5053, 267, 12756, 1223, 4137, 856, 519, 2495, 540, 513, 1007, 2296, 2262, 782, 676, 9887, 269, 15346, 267, 1318, 2496, 3383, 267, 1810, 1405, 5855, 1932, 1454, 827, 1818, 9073, 950, 596, 2811, 1565, 513, 1007, 1893, 269, 4634, 5065, 10529, 1118, 9073, 3006, 256, 3807, 1832, 8026, 543, 4166, 2614, 267, 596, 3513, 5469, 3054, 3478, 1732, 1169, 1554, 269, 5808, 6487, 267, 6148, 14693, 9358, 786, 1831, 519, 4116, 4543, 1866, 6330, 998, 741, 1893, 3460, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 23458, 13555, 267, 4706, 18370, 543, 3117, 538, 519, 4804, 540, 2296, 607, 513, 5822, 5678, 281, 513, 5530, 540, 21009, 540, 513, 14117, 6129, 676, 932, 574, 600, 7701, 1520, 747, 773, 454, 292, 2763, 327, 717, 1068, 337, 8775, 715, 333, 28225, 454, 10387, 841, 281, 1496, 16942, 6870, 316, 2422, 540, 2296, 5149, 2676, 18662, 540, 4937, 5525, 267, 2160, 540, 13280, 267, 715, 338, 4157, 6390, 454, 1103, 519, 3450, 543, 1565, 540, 513, 2034, 1893, 267, 519, 3390, 540, 1893, 4483, 689, 519, 1101, 1893, 14340, 269, 634, 10409, 2360, 540, 713, 4483, 536, 604, 584, 322, 622, 883, 513, 2942, 610, 2318, 1764, 593, 519, 1565, 540, 519, 2034, 1893, 269, 1733, 12241, 519, 2942, 568, 17941, 10409, 13779, 543, 814, 7283, 513, 3978, 1966, 799, 519, 19636, 814, 547, 25077, 609, 267, 1360, 2370, 3007, 814, 1044, 2016, 547, 519, 2318, 6286, 540, 1893, 3346, 538, 519, 2034, 1893, 1565, 3510, 269, 901, 1957, 11394, 547, 2263, 519, 2942, 543, 519, 2318, 3344, 540, 1893, 3346, 630, 1782, 340, 2065, 13779, 264, 538, 1565, 2296, 607, 513, 2034, 1893, 267, 741, 3123, 609, 14621, 547, 3009, 15175, 543, 11544, 267, 2523, 538, 519, 2854, 771, 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, 476, 276, 281, 10435, 14886, 609, 674, 25744, 12660, 687, 910, 4197, 1215, 1284, 4045, 609, 12292, 692, 5970, 596, 2479, 1185, 513, 4620, 602, 596, 1175, 6068, 7836, 942, 609, 286, 9320, 621, 729, 513, 22488, 21937, 267, 513, 8049, 6539, 1084, 267, 610, 1256, 513, 7874, 4154, 8127, 269, 1879, 649, 2811, 1472, 2831, 267, 1945, 9589, 4523, 1107, 649, 3100, 547, 1921, 609, 873, 256, 5620, 596, 2479, 9289, 1946, 602, 568, 286, 4270, 267, 1577, 781, 2263, 519, 4241, 1158, 540, 1480, 12845, 2711, 5872, 1927, 2439, 5575, 267, 4952, 3843, 547, 2911, 547, 707, 4620, 269, 1411, 1522, 946, 1913, 267, 855, 789, 1810, 1405, 1174, 1346, 899, 649, 798, 269, 5502, 267, 596, 949, 7048, 593, 1560, 1893, 267, 11132, 7215, 267, 610, 17267, 269, 2334, 781, 1317, 3425, 543, 2831, 5968, 8335, 256, 9442, 1063, 2249, 666, 581, 3833, 1950, 267, 5473, 4992, 267, 5322, 267, 24462, 267, 543, 811, 269, 12207, 945, 1353, 713, 1826, 540, 2792, 616, 1572, 18186, 5505, 267, 543, 789, 948, 721, 1732, 1174, 938, 24566, 2828, 780, 3086, 1589, 827, 782, 519, 1187, 2238, 596, 2671, 609, 707, 10130, 267, 899, 4730, 30321, 267, 524, 3291, 1782, 267, 610, 3274, 8384, 3165, 7669, 269, 1452, 8090, 1711, 7554, 1063, 3425, 543, 2831, 998, 3838, 2833, 269, 6884, 267, 1004, 1256, 960, 5702, 609, 2831, 538, 2027, 6009, 1634, 607, 10960, 5025, 1087, 13554, 10657, 269, 1280, 1383, 267, 3797, 5243, 3643, 10506 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3013, 779, 31023, 7269, 883, 513, 1480, 12416, 269, 23718, 543, 1200, 1920, 18220, 519, 2631, 540, 7872, 799, 17275, 9194, 547, 796, 3553, 339, 1194, 3338, 269, 8187, 518, 779, 3159, 14034, 11180, 267, 4272, 2218, 267, 543, 3978, 1765, 268, 320, 21981, 547, 1200, 7029, 547, 8429, 2059, 1200, 11348, 543, 10508, 693, 1373, 513, 22082, 945, 5030, 547, 2995, 1200, 9661, 563, 28012, 5600, 538, 519, 8262, 28418, 454, 5575, 3370, 281, 476, 4350, 273, 454, 13911, 540, 960, 281, 23397, 454, 763, 1433, 12211, 513, 1032, 540, 8176, 543, 8349, 710, 16016, 8712, 779, 1272, 538, 513, 2845, 19970, 538, 519, 16855, 18137, 609, 20766, 6307, 267, 23718, 267, 543, 8349, 710, 563, 2108, 5629, 2390, 513, 942, 267, 24239, 1296, 3516, 267, 513, 2370, 8004, 5030, 538, 519, 8262, 28418, 540, 16855, 267, 538, 513, 2370, 12457, 2777, 1500, 540, 20743, 1848, 4935, 5956, 519, 1101, 540, 8370, 2835, 1759, 593, 519, 20281, 6228, 540, 519, 16016, 8712, 1920, 267, 21338, 519, 942, 693, 476, 6942, 274, 543, 10962, 519, 1292, 1915, 540, 519, 3126, 269, 634, 16134, 540, 6881, 4368, 525, 23718, 779, 5133, 607, 519, 7828, 585, 519, 1650, 267, 543, 782, 18125, 540, 519, 9661, 2611, 3020, 547, 513, 1126, 779, 1448, 540, 2070, 269, 8187, 518, 779, 946, 540, 3854, 5022, 4463, 839, 23718, 779, 4898, 693, 1200, 10450, 563, 2005, 568, 2887, 267, 543, 519, 2879, 1872, 16016, 8712, 1753, 28377, 609, 7556, 3536, 267, 2681, 2685, 17048, 539, 269, 634, 4798, 540, 1920, 3106, 543, 1582, 3146, 18910, 10836, 607, 3844, 547, 713, 1433, 543, 547, 519, 2898, 3126, 269, 13159, 855, 2653, 3562, 268, 16187, 11673, 540, 2679, 513, 8673, 5264, 543, 26718, 532, 513, 6477, 1118, 621, 2312, 602, 1256, 1453, 6785, 519, 9238, 540, 7041, 585, 5162, 269, 901, 973, 2787, 540, 1898, 20281, 1702, 2968, 835, 540, 519, 1034, 3407, 543, 4277, 3344, 540, 8187, 518, 779, 9295, 547, 2663, 1620, 540, 22082, 1272, 563, 22102, 3877, 15052, 519, 2631, 540, 519, 30128, 543, 12178, 540, 971, 513, 1272, 267, 607, 1134, 607, 8575, 779, 8990, 547, 1711, 930, 5898, 585, 1200, 1920, 281, 30538, 2893, 538, 1200, 4224, 532, 11381, 267, 22927, 676, 519, 1769, 540, 519, 17689, 269, 634, 17689, 729, 6505, 543, 21743, 269, 1703, 729, 6070, 538, 519, 5377, 540, 922, 4837, 12826, 609, 519, 737, 14058, 2940, 267, 547, 1832, 519, 737, 14058, 2940, 689, 1011, 5317, 267, 543, 972, 941, 11353, 540, 2699, 1166, 14128, 1851, 519, 6070, 547, 1118, 621, 7168, 269, 898, 729, 7168, 563, 22102, 18953, 799, 5280, 1118, 1272, 17681, 616, 12006, 538, 713, 543, 782, 519, 1739, 2835, 563, 25508, 779, 535, 1342, 1782, 267, 13465, 267, 543, 9423, 593, 5162, 17334, 3715, 1864, 607, 519, 15260, 1005, 4099, 540, 18691, 543, 15364, 269, 589, 5614, 7544, 14120, 21360, 6194, 693, 23718, 779, 22594, 685, 1753, 267, 4832, 5503, 10381, 6194, 267, 543, 9932, 10655, 5180, 856, 519, 1032, 779, 3356, 4724, 7556, 543, 12927, 519, 9547, 713, 1920, 7959, 609, 741, 6552, 1272, 538, 519, 18137, 269, 9453, 17953, 532, 936, 8594, 610, 2182, 960, 267, 8187, 518, 814, 7307, 547, 9446, 20281, 1272, 13267, 569, 267, 609, 14246, 543, 6015, 693, 922, 4295, 563, 28012, 5600, 593, 519, 16217, 21961, 454, 5575, 3370, 281, 476, 4350, 276, 454, 13911, 540, 960, 281, 23397, 454, 763, 16016, 8712, 1920, 7575, 689, 16855, 547, 4095, 24540, 267, 3936, 956, 593, 513, 3409, 267, 13341, 12075, 267, 543, 16976, 547, 1847, 593, 950, 789, 3494, 519, 2229, 786, 1163, 601, 13896, 563, 2026, 519, 2034, 1433, 540, 519, 3126, 5956, 267, 8575, 19385, 14688, 23216, 547, 4734, 519, 12062, 532, 18137, 543, 2777, 585, 519, 20281, 269, 634, 1920, 568, 547, 3444, 519, 14967, 5211, 538, 519, 4411, 267, 2038, 5614, 267, 1354, 519, 4672, 9397, 269, 6736, 1200, 31681, 267, 1352, 10114, 999, 1200, 6690, 269, 968, 1103, 3595, 2775, 543, 23156, 2775, 1352, 18233, 543, 2036, 539, 873, 543, 21039, 873, 27145, 892, 585, 519, 7552, 269, 7731, 607, 519, 2295, 543, 2707, 540, 3354, 5170, 547, 19671, 519, 1650, 547, 2097, 269, 2991, 741, 530, 6782, 5176, 11503, 3278, 15385, 513, 6908, 267, 543, 741, 2915, 10793, 568, 21787, 546, 27547, 267, 519, 10072, 543, 5318, 1145, 540, 519, 31403, 19674, 538, 22880, 4334, 547, 519, 2063, 2922, 6640, 693, 1753, 269, 968, 8253, 1256, 519, 25861, 652, 10250, 540, 14743, 610, 13475, 1223, 581, 2938, 269, 2334, 31403, 6743, 607, 952, 1100, 1480, 3750, 1185, 2479, 2938, 621, 1354, 269, 8307, 519, 7381, 3552, 6371, 4988, 519, 11995, 8900, 2244, 543, 513, 1390, 8900, 6607, 818, 3481, 936, 621, 3034, 2419, 1258, 10999, 267, 519, 31403, 7045, 6227, 513, 1032, 267, 713, 942, 689, 5614, 547, 5614, 269, 1717, 267, 519, 2239, 12211, 2484, 811, 588, 1066, 6681, 2238, 267, 2519, 593, 25229, 21747, 6668, 269, 1280, 519, 1101, 2947, 11271, 267, 519, 16016, 718, 4513, 31939, 3444, 28029, 787, 676, 530, 6782, 267, 22742, 269, 1358, 2661, 538, 513, 17895, 1753, 1247, 14529, 13976, 741, 2845, 2777, 12777, 689, 519, 2666, 909, 269, 6969, 519, 2777, 814, 513, 4396, 7450, 610, 9486, 267, 513, 18896, 3640, 27788, 519, 1920, 593, 513, 2407, 2173, 3019, 3781, 543, 875, 3149, 543, 2879, 4428, 956, 1996, 519, 19970, 6821, 2394, 21554, 269, 14529, 2007, 338, 513, 1134, 865, 519, 1920, 1281, 711, 723, 547, 688, 592, 1216, 689, 519, 524, 9127, 563, 1103, 713, 1433, 513, 7023, 26082, 519, 1920, 5858, 267, 1256, 6972, 883, 4884, 538, 5906, 4365, 547, 1118, 2386, 519, 6690, 723, 6799, 689, 13244, 593, 741, 1101, 31403, 8285, 269, 11153, 14501, 1445, 593, 13341, 609, 12075, 267, 7247, 8575, 9060, 32049, 267, 14529, 24947, 585, 741, 2702, 547, 2661, 593, 519, 31403, 267, 543, 23718, 1439, 8393, 13300, 827, 269, 634, 7404, 14642, 720, 8831, 12560, 17246, 30970, 4724, 3043, 13896, 855, 2408, 543, 1491, 8726, 1426, 543, 10269, 789, 666, 1265, 689, 519, 16016, 8712, 2777, 1896, 2053, 950, 14529, 568, 8854, 563, 763, 31403, 6585, 824, 1768, 5558, 269, 634, 1920, 18923, 3470, 1161, 13663, 267, 1572, 968, 325, 1197, 11313, 333, 685, 989, 826, 1848, 589, 3458, 600, 538, 519, 3781, 18327, 547, 581, 513, 20562, 615, 14529, 18923, 1965, 7870, 607, 646, 19707, 585, 519, 17512, 1881, 968, 30513, 892, 789, 2219, 789, 4862, 269, 1306, 5614, 4485, 267, 519, 12075, 723, 1018, 14529, 7125, 513, 795, 3711, 648, 324, 609, 513, 2407, 3018, 540, 14941, 2719, 267, 15472, 267, 543, 968, 577, 25891, 609, 741, 9739, 1848, 2991, 19492, 20439, 17334, 585, 519, 16016, 718, 4513, 267, 519, 12075, 771, 704, 572, 563, 16729, 519, 795, 3711, 648, 324, 267, 513, 31403, 3595, 27938, 519, 16016, 8712, 1753, 267, 543, 8384, 519, 2063, 12560, 6512, 540, 14642, 1137, 3758, 1989, 574, 569, 856, 540, 8289, 3762, 519, 1920, 20158, 543, 1592, 1652, 269, 634, 7294, 3575, 540, 1253, 6412, 267, 4250, 267, 543, 2463, 585, 12075, 16571, 2429, 713, 1433, 609, 1100, 1483, 2626, 607, 547, 519, 13919, 540, 3043, 13896, 721, 584, 4771, 4095, 2244, 563, 7661, 267, 519, 771, 24711, 2287, 15555, 528, 602, 7980, 949, 2322, 519, 13896, 1055, 4095, 2244, 12987, 8176, 547, 4452, 1010, 1920, 538, 519, 530, 6782, 1586, 543, 2212, 4724, 1776, 1007, 4098, 269, 23718, 1869, 814, 4126, 269, 968, 5445, 941, 782, 1927, 267, 2922, 543, 6899, 896, 519, 5182, 26569, 6607, 1848, 14529, 779, 4222, 267, 5916, 609, 8575, 779, 32344, 1145, 267, 2488, 519, 3844, 3196, 602, 4412, 1564, 519, 1920, 883, 741, 2104, 269, 23718, 3788, 922, 2295, 563, 4322, 8414, 13642, 13012, 454, 5575, 3370, 281, 476, 3707, 274, 454, 13911, 540, 960, 281, 23397, 454, 763, 1433, 12225, 2873, 1920, 1272, 543, 23718, 779, 3450, 4876, 538, 1614, 3506, 4098, 538, 476, 6642, 273, 543, 19411, 919, 609, 1200, 2261, 11538, 1325, 2006, 15605, 8187, 518, 538, 476, 6642, 276, 563, 1607, 1433, 538, 519, 3126, 12225, 2873, 23718, 779, 4947, 6361, 21943, 269, 2701, 3762, 1200, 1920, 547, 4001, 538, 513, 7404, 11175, 4884, 267, 513, 771, 7356, 1747, 609, 1614, 3409, 695, 656, 625, 543, 1152, 2947, 1053, 269, 634, 3844, 14953, 585, 713, 1433, 568, 1325, 2006, 15605, 8187, 518, 779, 10470, 1222, 540, 23718, 267, 799, 5956, 5612, 269, 4173, 1101, 3018, 540, 3450, 4422, 1134, 267, 855, 2695, 19981, 25778, 326, 902, 538, 606, 29043, 1753, 1244, 816, 1200, 269, 1325, 2006, 15605, 11151, 513, 530, 4958, 3481, 15964, 676, 4947, 585, 1200, 609, 1010, 2319, 543, 2759, 614, 269, 10801, 519, 3209, 267, 1325, 2006, 15605, 543, 23718, 11878, 856, 1927, 269, 4256, 10470, 1222, 795, 13550, 338, 723, 22705, 543, 17498, 543, 930, 3552, 26055, 3297, 796, 15842, 5287, 897, 1206, 267, 855, 789, 19411, 622, 538, 606, 6278, 563, 299, 19313, 11414, 547, 948, 1200, 1920, 20019, 543, 23217, 8591, 1200, 1101, 1079, 23269, 547, 519, 1920, 30756, 518, 269, 4173, 3791, 14057, 1352, 17337, 267, 1210, 851, 540, 621, 585, 5958, 547, 18055, 519, 5127, 13274, 839, 543, 9660, 1352, 2115, 607, 513, 1007, 27379, 282, 519, 824, 568, 1200, 3803, 9295, 547, 8575, 543, 14529, 269, 4173, 15271, 948, 2628, 6307, 779, 9276, 693, 513, 2852, 585, 519, 9420, 543, 4444, 606, 1418, 585, 6307, 547, 1404, 950, 1352, 7024, 1753, 563, 1607, 1433, 29349, 1896, 3126, 4798, 269, 13571, 1512, 10072, 568, 4389, 269, 634, 3395, 4884, 540, 1546, 3911, 564, 4667, 2407, 540, 21046, 543, 2551, 10593, 269, 634, 16016, 8712, 1920, 3788, 12082, 972, 282, 1369, 513, 1032, 519, 4630, 652, 1737, 3409, 786, 581, 741, 338, 585, 1434, 269, 23718, 1568, 3544, 1200, 1753, 547, 1489, 519, 1920, 269, 4107, 4174, 330, 5944, 267, 1352, 3762, 1200, 6689, 1753, 267, 4098, 1200, 1378, 5858, 609, 1325, 2006, 15605, 269, 634, 3803, 4320, 19528, 2621, 689, 4505, 2053, 267, 6220, 519, 2250, 267, 543, 5170, 23718, 779, 8903, 11673, 540, 5251, 543, 6607, 799, 948, 2491, 519, 11995, 6822, 25934, 540, 7262, 3338, 5103, 519, 1249, 602, 267, 968, 22336, 2251, 2242, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 294, 527, 3570, 781, 1412, 300, 28854, 5211, 262, 23929, 856, 1686, 540, 10168, 538, 519, 942, 540, 570, 2001, 341, 517, 454, 9961, 1010, 7911, 3125, 267, 853, 269, 8402, 620, 323, 9007, 6833, 787, 17394, 4862, 519, 3771, 8089, 3020, 1650, 540, 875, 1010, 4651, 18084, 519, 14967, 5211, 593, 513, 2306, 31183, 2845, 986, 1111, 693, 519, 2085, 540, 476, 278, 547, 9101, 1018, 781, 1634, 607, 519, 5101, 853, 269, 8402, 5198, 27632, 1824, 563, 2108, 8072, 305, 864, 10617, 685, 568, 875, 519, 15000, 4330, 621, 2223, 17394, 1767, 563, 1103, 519, 4832, 540, 476, 4489, 278, 267, 4254, 338, 540, 11495, 3043, 5520, 7166, 476, 2412, 3109, 5101, 853, 269, 8402, 753, 543, 8731, 3481, 476, 277, 267, 1822, 540, 741, 5321, 267, 14220, 602, 3109, 4600, 1522, 1491, 741, 6009, 693, 519, 1325, 26891, 20957, 543, 1977, 13082, 3549, 563, 8489, 281, 5131, 12744, 267, 4901, 609, 16073, 267, 31075, 281, 808, 290, 623, 10154, 8490, 267, 772, 5960, 299, 13464, 3248, 19894, 2196, 281, 9315, 1400, 15519, 8932, 4741, 267, 476, 736, 5246, 29989, 2904, 3220, 269, 693, 30086, 1194, 324, 13749, 10003, 454, 2691, 281, 2776, 1613, 281, 29869, 267, 4989, 476, 2537, 3248, 305, 684, 281, 476, 279, 533, 6230, 269, 11016, 4149, 12944, 267, 2904, 476, 1556, 268, 866, 454, 1692, 1454, 281, 5131, 12744, 282, 1269, 1428, 267, 1269, 1321, 1053, 267, 20650, 1282, 2834, 2196, 454, 2026, 1973, 2095, 539, 543, 11642, 14616, 2066, 519, 5757, 267, 853, 269, 8402, 7128, 17049, 17051, 689, 10024, 519, 2749, 676, 8115, 267, 543, 17394, 779, 20516, 6785, 1352, 1185, 547, 1589, 3728, 269, 667, 617, 3101, 4439, 7410, 607, 26428, 1266, 5285, 539, 1200, 1753, 267, 1352, 26558, 1176, 13401, 606, 9101, 585, 1200, 543, 1200, 2947, 1453, 563, 2108, 7069, 20516, 3576, 519, 1453, 856, 519, 1394, 543, 267, 538, 519, 14784, 267, 3710, 513, 986, 1111, 543, 2322, 519, 1453, 593, 621, 2223, 17394, 1767, 269, 968, 2005, 3576, 3108, 547, 1205, 2066, 267, 543, 1310, 789, 6368, 3893, 593, 713, 2427, 267, 789, 6836, 547, 1265, 519, 824, 1920, 2818, 4534, 930, 941, 2760, 1336, 563, 298, 523, 15326, 779, 1920, 1650, 568, 835, 540, 1896, 3140, 2621, 4547, 547, 1272, 593, 560, 720, 538, 27707, 3570, 8605, 687, 685, 968, 300, 28854, 5211, 2223, 10023, 513, 1863, 12744, 543, 4901, 4989, 476, 2537, 693, 519, 2160, 540, 16713, 910, 853, 269, 8402, 267, 4553, 676, 513, 2834, 2196, 2904, 476, 1556, 268, 866, 693, 519, 9315, 1400, 15519, 8932, 4741, 563, 13434, 11661, 543, 19551, 1686, 616, 2565, 538, 4393, 519, 2250, 543, 519, 1459, 267, 2687, 547, 27707, 3570, 779, 10324, 8689, 595, 1815, 23158, 24385, 531, 563, 17606, 779, 513, 14626, 2064, 649, 4076, 3893, 713, 570, 2001, 341, 517, 9410, 3364, 2469, 593, 269, 2755, 972, 616, 1869, 2055, 856, 972, 827, 602, 267, 621, 2982, 602, 18284, 519, 2627, 267, 972, 568, 2141, 713, 3390, 540, 7292, 4655, 2223, 24385, 531, 1767, 269, 968, 8512, 540, 938, 1259, 540, 1620, 621, 568, 547, 3314, 875, 3983, 621, 729, 855, 547, 849, 1413, 585, 519, 4126, 6888, 3034, 24552, 1205, 538, 519, 1259, 454, 288, 1404, 1510, 1913, 949, 3100, 899, 606, 3404, 2096, 528, 517, 4534, 8259, 596, 1289, 621, 7544, 14364, 269, 2334, 779, 519, 1523, 3297, 968, 300, 28854, 5211, 2223, 4171, 2984, 616, 5143, 676, 3350, 543, 2575, 267, 29211, 676, 513, 1906, 18405, 543, 930, 1982, 5583, 563, 763, 2504, 5956, 609, 519, 1686, 540, 519, 1158, 543, 7575, 4724, 513, 1297, 540, 2199, 7653, 267, 1519, 519, 524, 1645, 540, 3979, 7510, 326, 3240, 3885, 543, 27208, 25165, 538, 968, 11499, 5054, 892, 693, 519, 476, 5002, 275, 1158, 779, 4023, 267, 543, 519, 811, 2487, 1483, 10140, 622, 2699, 2000, 1456, 602, 6854, 3043, 16973, 3043, 563, 21545, 2001, 532, 891, 13685, 2262, 8393, 1797, 519, 3527, 616, 16271, 513, 1114, 2186, 540, 7664, 267, 24385, 531, 1767, 563, 14881, 4076, 4121, 602, 1913, 666, 581, 12261, 883, 8726, 1004, 1616, 267, 711, 1317, 789, 616, 17543, 22392, 519, 2495, 855, 1317, 649, 782, 4497, 538, 16496, 6947, 2223, 24385, 531, 1767, 563, 2690, 1383, 267, 519, 2262, 968, 2350, 1143, 892, 568, 1419, 2404, 609, 968, 534, 5817, 11350, 580, 2397, 543, 8247, 2223, 2687, 547, 31075, 7200, 20484, 269, 1809, 519, 5168, 568, 602, 621, 779, 711, 2141, 6857, 610, 5497, 547, 2800, 267, 1352, 11329, 856, 269, 898, 779, 1271, 585, 1004, 547, 917, 602, 519, 2504, 568, 827, 1620, 4534, 711, 16620, 563, 14881, 1616, 1004, 547, 3802, 2476, 23248, 2348, 2799, 741, 4656, 540, 1018, 10168, 5654, 899, 267, 875, 789, 3565, 547, 621, 543, 875, 547, 4368, 621, 2223, 20484, 1767, 563, 305, 659, 1143, 3085, 1406, 10413, 1152, 18441, 454, 5194, 5048, 602, 20484, 543, 1866, 3238, 538, 519, 2504, 1616, 547, 6494, 568, 602, 782, 1004, 4534, 711, 1175, 18441, 4534, 616, 4299, 676, 10168, 610, 14882, 269, 1403, 596, 2461, 513, 1268, 945, 22613, 519, 8265, 2864, 982, 2097, 883, 3346, 609, 513, 1880, 1895, 267, 707, 9636, 9292, 1206, 596, 563, 2108, 6546, 779, 711, 513, 1434, 1259, 547, 2661, 707, 1272, 950, 596, 616, 513, 1268, 945, 814, 891, 4606, 2223, 20484, 1767, 563, 6097, 547, 8689, 543, 25287, 19212, 966, 643, 1014, 18722, 8862, 3430, 267, 15523, 1063, 2516, 616, 6854, 538, 1747, 538, 16221, 2081, 267, 1519, 519, 24819, 2243, 853, 269, 8402, 753, 899, 547, 2307, 281, 968, 8489, 8910, 596, 979, 547, 1164, 1153, 18313, 2108, 5629, 789, 917, 267, 789, 2322, 596, 538, 513, 7121, 610, 4087, 543, 3388, 602, 779, 7923, 547, 602, 4087, 2223, 18722, 8862, 3430, 1767, 563, 763, 968, 300, 28854, 5211, 892, 25249, 609, 7247, 18722, 8862, 3430, 568, 2324, 2039, 689, 1164, 1153, 1053, 547, 14468, 918, 15811, 14480, 5069, 16929, 547, 513, 19384, 19831, 6575, 1895, 269, 769, 513, 3126, 540, 642, 793, 22863, 267, 789, 7544, 711, 1152, 547, 2995, 519, 2984, 855, 547, 9414, 519, 2495, 3297, 2621, 899, 519, 8230, 2740, 903, 262, 986, 1111, 15385, 563, 10527, 6249, 540, 602, 4062, 568, 4126, 267, 6668, 267, 16177, 267, 513, 2631, 540, 1920, 2497, 543, 2648, 4534, 602, 8825, 3815, 540, 2048, 296, 786, 1832, 1250, 1920, 1927, 16224, 892, 18722, 8862, 3430, 1767, 563, 4407, 17394, 5654, 4464, 547, 7487, 1010, 1920, 779, 1686, 5129, 856, 593, 3942, 267, 646, 849, 814, 6404, 4606, 563, 17606, 6770, 909, 513, 2603, 540, 4664, 282, 621, 779, 513, 2352, 1650, 267, 543, 676, 6616, 519, 15000, 1101, 11804, 267, 594, 917, 519, 1928, 789, 5645, 689, 621, 2223, 17394, 1767, 269, 968, 3719, 676, 519, 1482, 18351, 267, 649, 616, 28165, 1848, 0, 31415, 515, 3057, 638, 1047, 632, 1530, 793, 601, 599, 543, 5565, 540, 1200, 25860, 3299, 476, 15433, 272, 454, 2421, 24839, 631, 793, 731, 454, 26780, 267, 634, 2817, 20155, 563, 2690, 476, 1220, 275, 270, 4962, 267, 519, 835, 6377, 8033, 5224, 454, 32153, 4886, 6030, 267, 1572, 1412, 293, 1090, 532, 519, 454, 10501, 5382, 3299, 2196, 676, 2817, 20155, 4065, 786, 454, 325, 1371, 593, 1412, 763, 3057, 638, 1047, 632, 1530, 793, 601, 599, 543, 5565, 540, 1200, 25860, 7055, 2421, 24839, 631, 793, 731, 269, 634, 1576, 786, 1413, 693, 2081, 540, 1210, 454, 335, 5593, 902, 538, 519, 4928, 676, 10128, 1148, 538, 547, 454, 1492, 2817, 15099, 269, 901, 6240, 20383, 5702, 454, 5976, 519, 667, 325, 2464, 12729, 15613, 281, 28742, 543, 17949, 618, 2676, 6518, 7028, 513, 11455, 1935, 547, 519, 6437, 454, 2421, 29227, 519, 6402, 1063, 1641, 2127, 563, 31415, 515, 3057, 638, 1047, 632, 1530, 793, 601, 599, 543, 5565, 540, 1200, 25860, 262, 729, 454, 577, 4923, 607, 621, 568, 3638, 609, 8100, 547, 8106, 2984, 2676, 553, 1134, 607, 1373, 513, 17855, 540, 513, 3943, 1920, 269, 5637, 454, 1993, 891, 5396, 960, 1134, 609, 3119, 27070, 1053, 454, 663, 849, 3095, 547, 519, 2817, 17402, 15613, 543, 454, 1492, 667, 325, 2464, 1007, 5943, 585, 7073, 14579, 4654, 563, 1877, 547, 2070, 960, 454, 5228, 519, 476, 1220, 277, 14266, 267, 6273, 676, 713, 7206, 563, 15100, 634, 2817, 20155, 267, 0, 2464, 299, 2296, 7689, 20308, 6657, 593, 674, 2948, 924, 1919, 585, 2296, 22996, 454, 11854, 1136, 2296, 16497, 454, 12626, 24935, 17943, 454, 19894, 2296, 16497, 454, 19968, 2296, 16497, 454, 11328, 1613, 2296, 16497, 454, 9199, 767, 2296, 16497, 454, 296, 10972, 1682, 543, 1912, 29320, 454, 17359, 7689, 12039, 454, 21995, 23016, 16497, 454, 1103, 23059, 23016, 16497, 454, 28723, 23016, 16497, 454, 15761, 571, 2296, 16497, 454, 12626, 18049, 17943, 454, 12626, 24935, 15080, 454, 276, 16390, 585, 24935, 12071, 1890, 454, 294, 1090, 3405, 585, 24935, 454, 4504, 29396, 543, 17726, 454, 293, 2948, 924, 910, 20308, 6657, 454, 12812, 593, 19415, 2353, 543, 1246, 2059, 269, 2991, 4742, 6899, 609, 519, 3003, 6643, 267, 1831, 12287, 589, 676, 14467, 593, 519, 12287, 589, 7735, 269, 1411, 786, 5873, 1152, 12287, 645, 998, 519, 8301, 3758, 269, 1703, 786, 581, 513, 16563, 585, 596, 547, 10956, 519, 5220, 540, 12287, 589, 269, 1684, 519, 1482, 585, 12287, 645, 269, 634, 3432, 540, 519, 6643, 568, 5065, 3432, 269, 2422, 519, 23249, 7735, 952, 519, 23249, 1063, 1142, 4845, 568, 1932, 3728, 585, 596, 269, 2991, 8026, 1896, 2053, 267, 596, 786, 581, 2111, 547, 3717, 607, 3728, 607, 513, 5065, 563, 288, 281, 834, 1432, 616, 596, 3257, 14182, 24350, 289, 281, 834, 296, 6415, 2469, 547, 3251, 1753, 543, 4585, 519, 3381, 4799, 288, 281, 834, 1432, 616, 596, 2469, 547, 4585, 24350, 289, 281, 834, 296, 10519, 539, 7831, 540, 519, 15011, 4618, 269, 5620, 596, 2938, 621, 24350, 288, 281, 834, 6546, 729, 835, 540, 1250, 5172, 9413, 269, 1411, 786, 711, 581, 25922, 4799, 288, 281, 834, 1432, 781, 707, 5172, 1426, 24350, 289, 281, 834, 296, 899, 4457, 1426, 519, 1034, 4799, 288, 281, 834, 5970, 596, 1044, 547, 519, 4457, 13962, 593, 476, 4510, 628, 8265, 4799, 289, 281, 834, 5591, 594, 10093, 1405, 269, 1772, 621, 1022, 1434, 24350, 288, 281, 834, 2005, 781, 1250, 5172, 4457, 13962, 269, 594, 3494, 596, 786, 899, 621, 4799, 289, 281, 834, 6546, 4992, 1390, 269, 2913, 781, 979, 4799, 288, 281, 834, 20756, 10793, 269, 1215, 941, 707, 5049, 713, 19496, 24350, 289, 281, 834, 5445, 941, 711, 1932, 3983, 269, 594, 2731, 2007, 15828, 27419, 1250, 1135, 328, 1606, 7220, 1362, 4799, 288, 281, 834, 25898, 596, 2015, 621, 707, 5172, 1362, 24350, 289, 281, 834, 296, 1810, 1405, 917, 952, 594, 1131, 1289, 621, 1250, 5172, 267, 855, 621, 16034, 909, 972, 4799, 288, 281, 834, 1432, 1362, 729, 707, 5172, 1287, 24350, 289, 281, 834, 296, 3576, 513, 1870, 2792, 1362, 2063, 1032, 543, 621, 729, 17512, 881, 4799, 288, 281, 834, 296, 2760, 3576, 602, 2943, 269, 1403, 602, 729, 707, 5172, 267, 594, 1589, 594, 786, 2638, 621, 856, 4799, 11854, 752, 2296, 5488, 454, 2421, 23842, 7366, 540, 454, 21459, 3259, 544, 335, 274, 8301, 6119, 585, 782, 519, 4245, 269, 13185, 12626, 5510, 1467, 19405, 568, 1631, 4712, 585, 4647, 269, 3619, 547, 519, 454, 2457, 543, 4647, 2221, 2336, 2252, 596, 1294, 713, 1257, 543, 596, 616, 1210, 9605, 293, 2135, 267, 5225, 4647, 519, 18044, 32156, 623, 1663, 6265, 563, 15648, 9736, 476, 1220, 276, 910, 476, 1001, 274, 570, 3201, 298, 2894, 21923, 23360, 269, 26376, 0, 1607, 7084, 568, 11331, 834, 4131, 781, 10812, 3013, 256, 2422, 513, 10934, 547, 4855, 1977, 2276, 267, 20079, 267, 8092, 13257, 267, 543, 645, 3672, 540, 4826, 1701, 901, 7084, 2882, 476, 736, 2055, 602, 2154, 1053, 547, 5659, 513, 4786, 540, 519, 2136, 2276, 585, 1533, 10665, 267, 3854, 4872, 267, 2244, 13257, 267, 543, 4703, 540, 1216, 563, 2080, 616, 1079, 3732, 2055, 912, 257, 7617, 4279, 20463, 8473, 12309, 8119, 543, 834, 297, 27889, 3205, 4975, 568, 519, 3854, 540, 799, 1533, 24350, 1607, 1131, 1118, 513, 1390, 4367, 547, 476, 275, 628, 3446, 1053, 8600, 547, 1353, 519, 2136, 2276, 585, 519, 1101, 942, 563, 2005, 1131, 849, 960, 1134, 538, 1022, 2362, 10026, 610, 1647, 1153, 4928, 607, 4786, 1983, 616, 1869, 2565 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 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, 519, 2295, 540, 14297, 1715, 3840, 4975, 267, 972, 729, 513, 1507, 267, 18241, 13962, 3957, 1412, 293, 3306, 13983, 839, 9538, 634, 8227, 267, 6004, 269, 5682, 7615, 267, 929, 3660, 5128, 593, 7674, 1152, 519, 23906, 4554, 25235, 1500, 689, 15072, 1169, 1554, 269, 1261, 1185, 1079, 5520, 910, 8861, 267, 513, 2852, 2875, 4974, 24756, 2359, 267, 543, 8751, 267, 513, 1164, 1153, 2028, 1565, 827, 519, 1426, 2872, 780, 3080, 13566, 12784, 267, 6004, 269, 5682, 7615, 8655, 8861, 543, 8751, 519, 4305, 540, 8600, 10448, 25235, 585, 519, 12899, 19060, 269, 19196, 1243, 569, 267, 789, 3459, 676, 11067, 782, 519, 5388, 23939, 896, 4881, 1216, 267, 4180, 1100, 1179, 330, 540, 13897, 7283, 269, 1358, 5116, 519, 5969, 12545, 593, 519, 4831, 9008, 543, 10356, 741, 31009, 267, 22019, 619, 267, 543, 26633, 780, 27880, 3576, 5279, 267, 11744, 1200, 4359, 1983, 547, 8751, 269, 2701, 3323, 676, 14299, 4771, 1055, 519, 538, 539, 1043, 7475, 540, 17436, 543, 13767, 2044, 24672, 1247, 7713, 519, 2956, 540, 9882, 950, 7829, 1426, 269, 11531, 267, 8751, 17388, 547, 2759, 1010, 22282, 883, 11116, 13355, 4773, 269, 654, 10248, 1864, 6560, 267, 8861, 6700, 646, 20105, 519, 1166, 648, 1206, 3259, 3772, 1354, 546, 6005, 873, 269, 1306, 789, 4797, 840, 6137, 267, 8861, 3838, 930, 3407, 4388, 1352, 4121, 1282, 11477, 5049, 910, 4509, 1697, 14302, 11151, 9854, 267, 5329, 11263, 512, 26786, 6971, 519, 1981, 540, 11912, 267, 543, 5812, 521, 1944, 5849, 7833, 5986, 780, 4913, 267, 1919, 3576, 606, 6397, 2490, 950, 8751, 4956, 547, 3432, 909, 519, 1184, 1813, 547, 3395, 2604, 689, 519, 20387, 9753, 269, 22695, 1681, 3106, 15416, 267, 646, 22672, 8393, 22872, 519, 14274, 267, 4611, 538, 19514, 25098, 269, 5047, 267, 9141, 676, 30411, 267, 646, 18417, 12183, 539, 1010, 9416, 267, 4929, 513, 5634, 2759, 269, 8528, 8450, 532, 713, 267, 8861, 5612, 11074, 2324, 543, 13984, 547, 8751, 269, 28528, 7738, 519, 10138, 609, 1884, 1047, 10364, 530, 6346, 267, 1352, 18056, 1864, 602, 31930, 1223, 1291, 547, 29070, 2164, 267, 2523, 538, 519, 10051, 1141, 1072, 6042, 941, 14063, 269, 14171, 5539, 585, 1010, 12161, 267, 8751, 23294, 1242, 25442, 569, 547, 8861, 543, 16219, 547, 1445, 811, 593, 8856, 936, 3432, 780, 8601, 519, 1305, 3724, 267, 789, 7307, 547, 2347, 519, 21339, 1175, 538, 942, 585, 519, 8445, 5662, 269, 4256, 3608, 16542, 8507, 538, 30590, 5561, 882, 5109, 4195, 267, 26546, 19787, 1148, 2685, 11231, 538, 10477, 14249, 269, 5637, 8861, 543, 8751, 2451, 4743, 12913, 267, 1620, 602, 4352, 9073, 4755, 267, 26724, 2298, 543, 3106, 5012, 547, 1967, 538, 1870, 543, 1272, 7567, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 2108, 27855, 519, 1184, 540, 5969, 5388, 585, 513, 19997, 563, 29493, 1154, 5388, 585, 513, 19997, 568, 513, 5266, 2241, 1184, 602, 666, 581, 2944, 1739, 891, 3268, 1384, 272, 269, 10670, 676, 11067, 782, 707, 5388, 8499, 547, 4894, 1022, 13897, 543, 11935, 269, 901, 1900, 568, 2629, 607, 621, 2337, 547, 9004, 1022, 12526, 543, 4551, 780, 273, 269, 9255, 707, 5969, 4604, 593, 513, 6366, 2627, 267, 543, 5965, 519, 2556, 2645, 899, 513, 8325, 17180, 267, 513, 22019, 518, 267, 543, 513, 12826, 547, 3180, 519, 5388, 780, 274, 269, 3399, 676, 5969, 1055, 1022, 538, 539, 1043, 2694, 540, 519, 5388, 899, 11710, 267, 3762, 267, 610, 5072, 269, 13689, 593, 519, 5388, 596, 616, 1210, 267, 22019, 1055, 741, 32675, 952, 2556, 780, 275, 269, 10670, 546, 6005, 267, 14253, 532, 610, 27054, 3429, 519, 5388, 547, 707, 5551, 2450, 267, 543, 4483, 873, 547, 707, 19997, 12826, 607, 596, 960, 269, 898, 781, 1898, 547, 946, 519, 1318, 5969, 2553, 547, 2057, 5945, 543, 2327, 519, 5388, 616, 519, 1482, 2450, 585, 1256, 5986, 780, 276, 269, 1403, 596, 4782, 707, 5388, 547, 581, 811, 13035, 267, 596, 666, 1025, 21123, 610, 9252, 873, 585, 513, 1906, 3764, 267, 1287, 8710, 10640, 763, 1650, 1058, 11200, 998, 519, 3197, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 269, 634, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 3848, 7170, 281, 7101, 14306, 5463, 599, 281, 1879, 8752, 2725, 1115, 19196, 1243, 631, 26163, 692, 5331, 596, 2811, 8066, 513, 30437, 8141, 2401, 593, 513, 4158, 3781, 269, 1306, 596, 5951, 621, 1472, 267, 18162, 540, 1769, 1246, 707, 5322, 1107, 713, 568, 10237, 894, 9178, 538, 2962, 256, 1809, 1018, 1281, 602, 1611, 286, 2913, 781, 4685, 883, 519, 4241, 1158, 540, 9599, 6675, 543, 741, 5872, 609, 1769, 780, 4263, 1682, 543, 6675, 616, 2356, 538, 513, 1533, 540, 9803, 1648, 1572, 519, 2666, 1533, 269, 1717, 267, 3006, 789, 10110, 1648, 543, 7914, 547, 513, 2362, 1648, 1377, 1634, 607, 519, 9599, 1533, 269, 901, 666, 4755, 1813, 547, 1585, 4128, 971, 607, 3002, 267, 5201, 267, 610, 1256, 1769, 256, 4495, 606, 11046, 610, 11140, 10301, 519, 9599, 1533, 267, 621, 3085, 1405, 3251, 972, 11014, 269, 898, 786, 5555, 2132, 547, 922, 9350, 543, 17159, 2666, 1533, 1107, 543, 950, 621, 1281, 267, 621, 13847, 1648, 538, 519, 1106, 540, 1769, 269, 901, 1184, 568, 1572, 10237, 894, 9178, 780, 2414, 948, 14650, 713, 1523, 1577, 781, 1589, 827, 513, 16945, 1723, 2120, 269, 24613, 909, 519, 14629, 630, 1492, 9599, 1533, 264, 3217, 811, 1648, 982, 1373, 693, 519, 5377, 630, 3033, 1533, 1040, 2991, 8757, 519, 8445, 267, 8904, 27605, 519, 1071, 2120, 1524, 519, 824, 2427, 16089, 782, 602, 6740, 1761, 1648, 269, 6684, 267, 8444, 543, 6675, 5305, 1648, 1282, 10237, 894, 9178, 676, 32749, 1769, 1175, 899, 707, 8141, 2401, 780, 3086, 1934, 2501, 519, 1187, 851, 910, 1114, 2609, 723, 2189, 19367, 2404, 609, 741, 13289, 1063, 2829, 269, 1924, 1142, 835, 32307, 513, 1808, 2681, 950, 13059, 547, 519, 2666, 1533, 998, 10237, 894, 9178, 269, 1280, 1383, 267, 19440, 4191, 946, 713, 6240, 547, 1711, 7524, 4778, 4470, 593, 519, 3154, 16290, 3330, 269, 3026, 517, 3294, 7472, 513, 6505, 10538, 268, 1042, 16657, 1247, 2415, 517, 31438, 4544, 2439, 4131, 781, 2119, 1776, 1383, 6251, 1753, 269, 5620, 596, 2479, 2451, 513, 4837, 540, 1216, 2282, 513, 3532, 17689, 585, 930, 942, 543, 8068, 513, 25861, 17824, 880, 16657, 286, 2334, 781, 10281, 6918, 2643, 18119, 4646, 1813, 547, 11158, 5982, 32232, 609, 1216, 11517, 2870, 27846, 19985, 799, 15225, 7298, 28264, 2390, 11005, 1394, 547, 2666, 1533, 3842, 10237, 894, 9178, 269, 26812, 3215, 1318, 2496, 3383, 1985, 942, 596, 1294, 32030, 8654, 909, 519, 6607, 610, 22401, 2390, 6801, 1000, 1074, 1782, 17542, 540, 5195, 2476, 267, 3314, 596, 2811, 26164, 10237, 894, 1232, 904, 8345, 1318, 1354, 707, 4064, 269, 3245, 6263, 8444, 547, 5318, 15270, 267, 1620, 10237, 894, 9178, 10741, 9885, 547, 3695, 11580, 6456, 1369, 938, 7122, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 273, 289, 8344, 20513, 267, 700, 14137, 657, 990, 18293, 3557, 2160, 267, 476, 15686, 279, 4200, 18293, 267, 6576, 282, 661, 17733, 281, 18078, 17106, 11333, 3820, 454, 3725, 18727, 4873, 476, 272, 267, 476, 1220, 278, 454, 1607, 2689, 6238, 689, 513, 5618, 3140, 2272, 13991, 547, 519, 3741, 540, 519, 29732, 27761, 2401, 829, 2135, 9179, 3069, 543, 6901, 543, 2093, 799, 3366, 589, 269, 715, 269, 29732, 547, 922, 5137, 269, 3973, 267, 519, 6602, 540, 2584, 17871, 2962, 568, 4330, 267, 799, 729, 3254, 547, 1267, 689, 20119, 6337, 31731, 1242, 11852, 540, 7636, 5135, 269, 634, 10565, 1686, 540, 2964, 2065, 2090, 540, 5135, 8666, 716, 10474, 568, 12649, 4358, 689, 519, 29732, 27761, 2401, 829, 2135, 9179, 3069, 547, 519, 8367, 540, 12387, 6448, 267, 6602, 540, 2206, 2280, 5135, 543, 1863, 18119, 543, 267, 1287, 267, 547, 2413, 5784, 593, 519, 3119, 8666, 716, 10474, 3157, 269, 634, 5169, 540, 4922, 1031, 6498, 540, 2584, 17871, 3157, 883, 1826, 594, 543, 1826, 4083, 543, 519, 6935, 540, 891, 3157, 547, 519, 2470, 540, 519, 3119, 2584, 12950, 6547, 540, 6337, 31731, 9088, 616, 5941, 269, 1715, 8847, 540, 891, 6547, 616, 6069, 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, 20238, 14306, 5463, 599, 257, 607, 851, 540, 834, 306, 11799, 1315, 8212, 1315, 26994, 1299, 17449, 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, 5994, 596, 723, 930, 2724, 10710, 909, 689, 3257, 26050, 267, 3478, 27108, 267, 610, 1256, 2324, 513, 851, 6066, 2816, 256, 1411, 1522, 1616, 547, 4688, 602, 2724, 585, 1945, 2027, 899, 9140, 513, 1007, 11332, 610, 11080, 23641, 269, 1809, 1018, 952, 3079, 540, 5329, 782, 707, 9806, 538, 835, 1747, 267, 596, 1223, 3262, 873, 856, 2066, 1114, 2010, 540, 9541, 899, 13632, 267, 7554, 267, 610, 1483, 10040, 286, 901, 1259, 267, 952, 835, 1826, 540, 5092, 3085, 1405, 798, 1134, 267, 1866, 949, 1869, 1332, 267, 4758, 596, 513, 1732, 4960, 540, 8757, 707, 3804, 269, 2334, 781, 1572, 2348, 513, 4129, 1881, 14769, 2439, 3086, 267, 950, 649, 2911, 827, 5883, 891, 9541, 267, 972, 616, 1079, 1271, 2035, 547, 1174, 1107, 556, 4472, 3496, 543, 3454, 4398, 269, 2913, 781, 2263, 1142, 1523, 998, 11541, 7653, 780, 1262, 3918, 289, 3201, 3198, 290, 5058, 16001, 4131, 781, 2161, 596, 3323, 609, 3160, 5666, 16539, 538, 1614, 1919, 281, 1269, 2004, 538, 13632, 267, 1269, 2004, 538, 7554, 267, 543, 1269, 2004, 538, 1483, 10040, 269, 3683, 942, 267, 835, 610, 811, 540, 1346, 2127, 786, 1685, 8335, 982, 519, 1866, 269, 1403, 13632, 979, 909, 5488, 982, 519, 824, 9541, 267, 789, 1522, 1631, 2099, 513, 3677, 6712, 540, 707, 2698, 14769, 1871, 269, 1677, 1832, 707, 3312, 1544, 543, 5551, 3575, 267, 596, 1131, 6133, 930, 6006, 8843, 543, 4444, 811, 540, 519, 896, 704, 14127, 3283, 630, 2548, 1091, 610, 1483, 10040, 1040, 901, 1184, 540, 14577, 707, 9541, 1394, 547, 741, 3355, 21159, 568, 1634, 607, 2608, 516, 4472, 3496, 29688, 898, 2337, 2226, 3666, 543, 6971, 1981, 780, 13914, 540, 556, 4472, 3496, 899, 4509, 513, 7059, 2732, 269, 3807, 607, 4189, 1932, 1454, 16741, 666, 12235, 1055, 707, 1072, 3853, 267, 15603, 835, 5092, 7121, 20441, 707, 14769, 666, 2333, 922, 2949, 1981, 269, 1635, 5781, 10992, 543, 1224, 3286, 532, 938, 9541, 267, 649, 2327, 513, 2635, 543, 3309, 3575, 602, 8952, 721, 3001, 2509, 938, 6859, 780, 1262, 14011, 311, 661, 13697, 2975, 296, 27301, 312, 16001, 5194, 1883, 2460, 540, 1434, 5092, 2359, 3322, 10893, 9204, 269, 1879, 649, 7118, 4747, 610, 12434, 689, 9513, 1978, 2010, 540, 9541, 267, 649, 1419, 991, 547, 2628, 9204, 593, 1346, 15271, 269, 1717, 267, 5100, 9520, 946, 2994, 547, 2539, 741, 3454, 3915, 865, 789, 666, 11677, 811, 540, 741, 7024, 269, 1280, 1383, 267, 8066, 5196, 15874, 7221, 585, 936, 513, 1032, 1354, 9513, 2636, 9520, 547, 1491, 5413, 540, 1279, 3856, 3854, 12374, 3928, 799, 616, 3622, 2539, 982, 2110, 3856, 3928, 269, 6271, 8671, 545, 568, 1210, 3454, 268, 7349, 3042, 6589, 971, 607, 16843, 2026, 543, 476, 25002, 17347, 264, 338, 267, 799, 2709, 3454, 2640, 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 ]
[ 320, 1532, 14587, 1422, 842, 1422, 2765, 3189, 7562, 630, 343, 1532, 264, 1422, 6523, 630, 343, 8584, 9984, 315, 6523, 630, 343, 1532, 264, 1422, 7562, 630, 343, 8584, 264, 7346, 7562, 630, 343, 8584, 264, 7268, 7562, 630, 343, 1532, 4297, 348, 546, 1535, 6911, 259, 7807, 2765, 346, 272, 7346, 7562, 630, 320, 1532, 14587, 1422, 842, 1422, 2765, 3189, 6523, 630, 343, 8584, 264, 546, 1535, 7346, 7562, 630, 343, 8584, 14587, 10559, 2765, 3189, 6523, 630, 343, 1532, 264, 7346, 7562, 630, 343, 1532, 14587, 1422, 9507, 18097, 348, 1422, 9507, 12757, 10592, 259, 7807, 2765, 346, 272, 7346, 7562, 630, 320, 1532, 14587, 1422, 8421, 1923, 315, 7562, 630, 343, 8584, 31206, 10559, 8421, 1923, 315, 7562, 630, 343, 1532, 31206, 266, 322, 6911, 259, 7807, 2765, 346, 272, 7346, 7562, 22570, 9507, 21151, 32757, 9507, 15830, 348, 14587, 1422, 8421, 1422, 3847, 24689, 2765, 3189, 7562, 630, 343, 10559, 9507, 21151, 16585, 7346, 7562, 630, 343, 10559, 9507, 15830, 16585, 4153, 2431, 347, 10954, 9507, 26231, 4151, 0, 11302, 26413, 1721, 636, 3820, 7502, 28739, 476, 274, 343, 266, 272, 1966, 454, 14871, 8745, 5457, 2725, 286, 10426, 5320, 454, 19193, 14174, 304, 9612, 4653, 781, 24762, 4460, 1280, 4548, 3367, 692, 476, 1001, 280, 268, 6734, 268, 866, 267, 476, 1321, 281, 3607, 1948, 272, 7261, 6975, 3055, 7545, 3967, 476, 1220, 278, 5125, 476, 273, 9943, 14681, 24762, 7502, 28739, 476, 274, 343, 266, 272, 1966, 28982, 2818, 8206, 962, 16518, 594, 3893, 606, 2856, 602, 4194, 6148, 713, 1966, 269, 901, 2856, 568, 5206, 538, 24141, 267, 855, 6148, 621, 568, 24669, 269, 3371, 519, 13017, 547, 2022, 1100, 269, 476, 2412, 630, 335, 345, 19241, 1575, 601, 2073, 602, 338, 803, 264, 4179, 2517, 3901, 515, 17839, 564, 19709, 270, 3901, 515, 17839, 564, 14672, 1862, 4135, 284, 2412, 258, 335, 11260, 30525, 272, 8729, 585, 5955, 269, 14621, 22374, 630, 335, 345, 19241, 1575, 601, 264, 28514, 267, 594, 2119, 621, 547, 2328, 538, 7005, 2807, 331, 831, 811, 7831, 535, 1342, 1194, 609, 676, 7261, 6975, 3055, 593, 476, 1001, 280, 268, 6734, 268, 866, 693, 476, 1321, 281, 7906, 454, 476, 1001, 280, 268, 6734, 268, 866, 267, 476, 1724, 281, 1321, 1948, 273, 7261, 6975, 3055, 7545, 3967, 476, 1220, 278, 5125, 476, 23714, 1015, 24762, 3371, 538, 7005, 281, 589, 834, 2889, 557, 257, 602, 519, 7502, 28739, 268, 2425, 20044, 7475, 2479, 609, 476, 275, 267, 273, 267, 272, 269, 3733, 2856, 568, 269, 6875, 513, 2067, 7089, 715, 543, 2981, 883, 519, 12242, 4082, 269, 6333, 1152, 519, 2063, 476, 273, 9704, 269, 1284, 1205, 476, 275, 10659, 269, 1703, 616, 476, 876, 267, 4905, 267, 1015, 543, 476, 1556, 1284, 723, 476, 273, 7502, 28739, 6042, 2433, 476, 274, 343, 266, 272, 585, 9642, 2338, 543, 476, 271, 269, 276, 343, 585, 1256, 2338, 269, 3767, 281, 4999, 9847, 1310, 7502, 28739, 6042, 10371, 876, 9847, 10371, 876, 610, 10371, 1015, 10371, 4905, 9847, 10371, 876, 10371, 1015, 9847, 10371, 4905, 610, 10371, 1556, 10371, 1556, 9847, 10371, 1015, 1411, 1294, 2653, 267, 972, 616, 476, 275, 2081, 547, 10300, 557, 519, 24288, 543, 1152, 476, 273, 2081, 547, 2333, 1614, 19507, 519, 31317, 22791, 272, 1040, 3683, 782, 2818, 538, 513, 7502, 28739, 268, 2425, 20044, 649, 723, 513, 5223, 540, 476, 275, 281, 273, 269, 2334, 5205, 649, 723, 936, 782, 538, 513, 3670, 2173, 1897, 1532, 6674, 835, 476, 272, 270, 1626, 543, 835, 2053, 476, 280, 269, 2107, 8206, 5180, 476, 280, 270, 1626, 349, 6321, 260, 568, 519, 2063, 4759, 540, 513, 31317, 268, 277, 1532, 6674, 269, 5517, 267, 1929, 476, 271, 269, 6321, 28682, 9847, 476, 271, 630, 14588, 6900, 3267, 275, 267, 273, 267, 272, 264, 630, 343, 1297, 540, 7161, 267, 933, 2838, 547, 3136, 519, 7502, 28739, 268, 2425, 20044, 264, 7151, 281, 715, 284, 11011, 1284, 1205, 2433, 476, 28638, 476, 15389, 476, 31404, 476, 18684, 476, 9818, 476, 20542, 476, 14028, 476, 5379, 277, 476, 22001, 476, 10384, 476, 12573, 476, 11260, 476, 276, 2918, 476, 28091, 476, 278, 3445, 476, 4375, 276, 476, 14093, 277, 476, 6795, 274, 476, 9965, 271, 476, 279, 3445, 476, 275, 3393, 476, 15836, 277, 476, 5780, 279, 476, 31172, 476, 15757, 476, 2004, 273, 476, 25172, 476, 4037, 275, 476, 4391, 278, 476, 13647, 273, 476, 276, 5780, 476, 27543, 476, 25616, 476, 28883, 476, 14096, 277, 476, 277, 4343, 476, 29204, 476, 4817, 279, 476, 5325, 280, 476, 16960, 279, 476, 278, 866, 476, 21497, 279, 476, 13040, 280, 476, 26825, 279, 476, 14065, 280, 476, 4366, 276, 279, 476, 26237, 280, 476, 278, 2764, 279, 476, 3607, 275, 275, 476, 9264, 273, 476, 26605, 476, 24129, 275, 476, 15793, 278, 476, 25148, 273, 476, 13078, 272, 476, 277, 1428, 275, 476, 28906, 278, 476, 280, 2537, 273, 476, 5379, 272, 277, 476, 15996, 279, 476, 12893, 275, 476, 276, 6507, 476, 15876, 273, 476, 279, 5780, 476, 275, 3451, 476, 9873, 271, 476, 20981, 476, 23283, 476, 9032, 277, 476, 4366, 279, 476, 28192, 476, 14338, 476, 8618, 476, 7277, 476, 10844, 476, 5379, 476, 2537, 476, 3583, 476, 3374, 476, 11793, 476, 7871, 476, 8182, 476, 3199, 476, 2412, 476, 736, 476, 1015, 476, 276, 476, 1626, 476, 279, 476, 275, 476, 273, 476, 272, 11192, 281, 10844, 2338, 476, 6795, 616, 1256, 476, 3451, 616, 9642, 22472, 281, 9625, 273, 281, 272, 3267, 621, 568, 849, 5180, 476, 272, 349, 476, 11011, 2608, 476, 274, 317, 3451, 1315, 476, 273, 317, 6795, 2859, 1806, 281, 715, 284, 14530, 5881, 272, 2073, 9642, 281, 476, 3199, 2073, 1256, 281, 476, 13893, 281, 476, 14530, 5881, 272, 265, 274, 317, 3199, 270, 273, 317, 13893, 9625, 272, 630, 271, 269, 279, 907, 264, 476, 13893, 265, 280, 270, 1626, 349, 10037, 954, 725, 630, 3199, 568, 621, 264, 715, 284, 279, 7176, 7176, 280, 8660, 2073, 9642, 281, 476, 7176, 267, 1256, 281, 476, 9264, 715, 265, 274, 317, 7176, 270, 273, 317, 9264, 349, 272, 630, 271, 269, 279, 1862, 264, 476, 9264, 265, 280, 270, 1626, 349, 9083, 954, 725, 630, 476, 7176, 568, 621, 3738, 4706, 1568, 32473, 264, 1230, 743, 1081, 281, 3399, 609, 606, 1297, 715, 543, 519, 3524, 20044, 4422, 547, 476, 275, 267, 273, 267, 272, 267, 1317, 476, 274, 22677, 273, 343, 264, 568, 4130, 982, 476, 273, 22677, 275, 343, 1040, 2334, 729, 1250, 1259, 269, 8729, 269, 7831, 535, 1342, 1194, 609, 676, 7261, 6975, 3055, 593, 476, 1001, 280, 268, 6734, 268, 866, 693, 476, 1724, 281, 5655, 454, 476, 1001, 280, 268, 6734, 268, 866, 267, 476, 1626, 281, 1321, 1948, 274, 10911, 15124, 5264, 7545, 4119, 476, 1220, 277, 476, 3953, 6440, 276, 6440, 278, 6440, 866, 24762, 898, 781, 513, 1434, 646, 22618, 267, 855, 711, 513, 6169, 563, 1001, 280, 268, 6734, 268, 866, 267, 476, 1704, 281, 4029, 5231, 1948, 275, 454, 24426, 6975, 3055, 692, 13202, 476, 1220, 278, 454, 30051, 692, 273, 9943, 14681, 24762, 692, 32621, 912, 20323, 17397, 676, 10911, 15124, 5264, 898, 781, 513, 1434, 646, 22618, 267, 855, 711, 513, 6169, 780, 2080, 267, 594, 786, 1397, 267, 602, 2760, 2196, 513, 3524, 20044, 11995, 27250, 2467, 616, 476, 273, 2009, 2565, 11995, 17787, 780, 5575, 2565, 8520, 281, 901, 2196, 979, 547, 12808, 269, 630, 271, 269, 276, 2608, 476, 274, 2608, 476, 271, 269, 276, 2608, 476, 274, 2608, 1862, 994, 1015, 15010, 1556, 15010, 1015, 15010, 1556, 15010, 1547, 780, 9336, 1297, 715, 284, 275, 330, 266, 273, 7475, 609, 10371, 1015, 454, 9336, 1297, 715, 284, 275, 330, 266, 274, 7475, 609, 10371, 1556, 692, 296, 281, 15595, 557, 621, 267, 547, 1205, 513, 1297, 10371, 1556, 2433, 715, 284, 273, 330, 266, 272, 454, 2862, 281, 274, 301, 266, 272, 621, 2073, 547, 1205, 513, 1297, 10371, 1015, 2433, 715, 284, 277, 330, 266, 275, 454, 7656, 281, 15595, 557, 621, 267, 547, 1205, 513, 1297, 10371, 1556, 2433, 715, 284, 274, 330, 266, 273, 454, 4353, 281, 274, 301, 266, 272, 621, 2073, 547, 1205, 513, 1297, 10371, 1015, 2433, 715, 284, 280, 330, 266, 278, 454, 309, 281, 15595, 557, 621, 267, 547, 1205, 513, 1297, 10371, 1556, 2433, 715, 284, 275, 269, 276, 330, 266, 274, 269, 276, 692, 2467, 616, 476, 275, 12673, 585, 737, 912, 330, 284, 271, 267, 275, 267, 279, 28011, 834, 296, 257, 14543, 267, 1317, 476, 273, 330, 266, 272, 568, 711, 4759, 540, 476, 275, 330, 266, 274, 585, 10678, 10371, 1556, 454, 330, 284, 272, 267, 276, 267, 280, 28011, 834, 309, 257, 14543, 267, 1317, 476, 275, 269, 276, 330, 266, 274, 269, 276, 568, 711, 4759, 540, 476, 275, 330, 266, 274, 585, 10678, 10371, 1556, 454, 330, 284, 273, 267, 277, 267, 1015, 267, 907, 834, 296, 257, 14543, 267, 1317, 476, 273, 330, 266, 272, 568, 711, 4759, 540, 476, 275, 330, 266, 274, 585, 10678, 10371, 1556, 454, 330, 284, 274, 267, 278, 267, 1556, 267, 907, 834, 309, 257, 14543, 267, 1317, 476, 275, 269, 276, 330, 266, 274, 269, 276, 568, 711, 4759, 540, 476, 275, 330, 266, 274, 585, 10678, 10371, 1556, 692, 3383, 267, 621, 568, 1397, 267, 602, 585, 1169, 737, 2760, 2196, 713, 8520, 476, 1015, 268, 1556, 268, 1015, 268, 1556, 547, 12808, 780, 13553, 2565, 8520, 912, 1015, 15010, 4905, 15010, 876, 15010, 1015, 15010, 4905, 15010, 876, 15010, 13718, 1607, 8520, 666, 711, 2196, 547, 12808, 780, 263, 476, 271, 269, 276, 2608, 476, 274, 2608, 476, 271, 269, 276, 2608, 476, 271, 269, 276, 2608, 476, 274, 2608, 23099, 349, 476, 274, 18898, 270, 279, 18898, 264, 9847, 2818, 1205, 513, 4130, 1871, 25589, 476, 1001, 280, 268, 6734, 268, 736, 267, 476, 5400, 281, 2412, 1948, 276, 7261, 6975, 3055, 7545, 3967, 476, 1220, 278, 5125, 476, 273, 9943, 14681, 24762, 2290, 8520, 594, 29709, 476, 274, 6113, 2565, 8520, 281, 901, 666, 979, 547, 12808, 269, 630, 271, 269, 276, 2608, 476, 274, 2608, 476, 271, 269, 276, 2608, 476, 271, 269, 276, 2608, 476, 274, 3267, 264, 476, 1015, 15010, 4905, 15010, 876, 15010, 1015, 15010, 1556, 15010, 1015, 907, 1376, 609, 10371, 1015, 281, 715, 284, 275, 330, 266, 273, 594, 281, 15595, 557, 621, 267, 547, 1205, 513, 1297, 10371, 4905, 2433, 715, 284, 273, 330, 266, 272, 4083, 281, 274, 301, 266, 272, 621, 2073, 547, 1205, 513, 1297, 10371, 876, 2433, 715, 284, 277, 330, 266, 275, 8633, 281, 15595, 557, 621, 267, 547, 1205, 513, 1297, 10371, 1015, 2433, 715, 284, 274, 330, 266, 273, 10001, 281, 15595, 557, 621, 267, 547, 1205, 513, 1297, 10371, 1556, 2433, 715, 284, 272, 269, 276, 330, 266, 272, 966, 281, 274, 301, 266, 272, 621, 267, 547, 1205, 513, 1297, 10371, 1015, 2433, 715, 284, 275, 269, 276, 330, 266, 276, 737, 284, 271, 267, 275, 267, 279, 28011, 834, 309, 257, 14543, 267, 1317, 476, 275, 269, 276, 330, 266, 276, 568, 711, 4759, 540, 476, 275, 330, 266, 273, 585, 10678, 10371, 1015, 737, 284, 272, 267, 276, 267, 280, 28011, 834, 296, 257, 14543, 267, 1317, 476, 273, 330, 266, 272, 568, 711, 4759, 540, 476, 275, 330, 266, 272, 585, 10678, 10371, 4905, 737, 284, 273, 267, 277, 267, 1015, 267, 907, 834, 7656, 257, 14543, 267, 1317, 476, 274, 330, 266, 273, 568, 711, 4759, 540, 476, 275, 330, 266, 273, 585, 10678, 10371, 1015, 737, 284, 274, 267, 278, 267, 1556, 267, 907, 834, 2862, 257, 14543, 267, 1317, 476, 277, 330, 266, 275, 568, 711, 4759, 540, 476, 275, 330, 585, 10678, 10371, 876, 1280, 782, 737, 781, 2073, 713, 8520, 666, 711, 2196, 547, 12808, 269, 12834, 281, 2009, 12242, 4999, 9847, 1310, 7502, 28739, 6042, 10371, 876, 9847, 10371, 876, 610, 10371, 1015, 10371, 4905, 9847, 10371, 876, 10371, 1015, 9847, 10371, 4905, 610, 10371, 1556, 10371, 1556, 9847, 10371, 1015, 1703, 616, 476, 273, 2565, 17787, 1141, 811, 2799, 1614, 19507, 982, 10300, 1386, 269, 630, 935, 1288, 585, 3768, 1652, 2196, 264, 1452, 616, 281, 8520, 476, 272, 281, 630, 271, 269, 276, 2608, 476, 274, 2608, 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 ]
[ 25664, 566, 16877, 721, 547, 6330, 1950, 5717, 1472, 11786, 3584, 609, 3152, 9355, 543, 8417, 269, 1306, 2104, 7855, 267, 14519, 267, 543, 2146, 3401, 267, 3384, 891, 1983, 5849, 602, 649, 2611, 3743, 6800, 543, 12696, 540, 1702, 269, 3414, 2673, 2542, 543, 2079, 540, 5402, 5697, 15102, 267, 1053, 786, 11349, 606, 4656, 540, 519, 1379, 3297, 1913, 543, 10244, 713, 2702, 547, 3895, 1930, 5188, 543, 13784, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 11328, 1613, 609, 7732, 10615, 936, 27127, 4919, 543, 8763, 28305, 5399, 2835, 585, 1453, 543, 14038, 269, 4173, 4267, 1058, 8710, 596, 563, 307, 22736, 547, 2576, 609, 513, 4625, 1114, 5837, 22315, 563, 1607, 568, 1946, 938, 3506, 543, 1857, 8021, 616, 519, 1259, 789, 616, 563, 288, 21717, 15211, 883, 519, 23720, 6019, 5398, 7732, 538, 16500, 30592, 267, 654, 312, 563, 5415, 543, 811, 3237, 616, 4466, 30443, 573, 27127, 4919, 543, 8642, 28305, 543, 19574, 2835, 538, 519, 1453, 779, 543, 12322, 685, 6810, 540, 1857, 8021, 543, 1153, 8021, 269, 901, 3085, 1406, 4755, 676, 8009, 269, 1548, 2186, 540, 1004, 616, 4881, 891, 8021, 888, 2026, 649, 4076, 4080, 267, 513, 1906, 3275, 3516, 3237, 538, 16500, 30592, 267, 29131, 8068, 513, 3395, 1297, 540, 5393, 25848, 2940, 2835, 538, 519, 1453, 779, 543, 12322, 6810, 540, 741, 2199, 7936, 540, 519, 23720, 6019, 5398, 7732, 269, 4595, 1287, 789, 723, 21947, 741, 11221, 8387, 1896, 2053, 543, 3262, 519, 2262, 2066, 4884, 563, 4002, 11728, 267, 20029, 269, 476, 1724, 267, 835, 540, 519, 2199, 29131, 7136, 4910, 2700, 15628, 267, 645, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 17504, 14893, 543, 1230, 2254, 566, 257, 607, 851, 540, 834, 28765, 22723, 13493, 1315, 5678, 8551, 1315, 18500, 1299, 26538, 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, 476, 274, 269, 274, 6201, 540, 2657, 2598, 1706, 885, 538, 5753, 692, 2026, 649, 5490, 4514, 883, 1620, 1453, 781, 1072, 13103, 267, 621, 568, 2629, 547, 4983, 1808, 1806, 547, 9787, 519, 10335, 543, 6988, 540, 891, 2152, 269, 901, 3296, 786, 2263, 1585, 1072, 13103, 4810, 676, 1453, 538, 519, 2136, 2276, 267, 2519, 593, 2127, 971, 607, 10447, 267, 8377, 267, 2790, 1072, 267, 5711, 1072, 267, 543, 1569, 547, 1416, 269, 1284, 786, 1865, 519, 9860, 267, 1981, 2188, 267, 4539, 267, 543, 1761, 7459, 585, 1142, 2783, 780, 22349, 8676, 692, 6097, 547, 519, 15544, 585, 8376, 6513, 543, 10644, 630, 24922, 1070, 5111, 476, 276, 269, 276, 2929, 1453, 896, 476, 1240, 1296, 2025, 7985, 689, 10447, 267, 8204, 827, 476, 278, 260, 540, 782, 1977, 3214, 630, 24922, 267, 476, 1708, 272, 1040, 8330, 8676, 25409, 5540, 1978, 5095, 267, 609, 2362, 3928, 4767, 1851, 1875, 6953, 529, 13732, 4563, 543, 17104, 1453, 3379, 547, 741, 1875, 6953, 529, 13732, 3043, 13413, 630, 8201, 476, 272, 6393, 32391, 2188, 585, 6689, 10447, 1331, 1970, 4332, 2597, 267, 4598, 547, 10269, 8673, 267, 23480, 267, 2011, 5533, 267, 543, 4057, 8027, 2175, 630, 24154, 21838, 1696, 620, 1421, 476, 1001, 275, 282, 4258, 978, 1696, 620, 1421, 476, 1001, 280, 1040, 1452, 4220, 1419, 12440, 1369, 27797, 2950, 1813, 547, 1514, 21876, 540, 1072, 971, 607, 6710, 267, 3908, 2069, 3255, 267, 543, 3668, 540, 10097, 3782, 269, 9182, 267, 4049, 10447, 6285, 666, 1267, 538, 6413, 3074, 610, 1256, 2669, 267, 12615, 908, 4540, 1072, 31716, 780, 2414, 2232, 713, 3390, 267, 1857, 1072, 7341, 1590, 1445, 593, 4227, 2825, 23927, 998, 3609, 2242, 6322, 693, 5355, 11255, 543, 9205, 2011, 2298, 267, 5009, 7296, 29696, 267, 543, 7393, 8027, 4441, 269, 5015, 267, 2810, 4656, 827, 10447, 2359, 2994, 267, 1519, 1697, 6646, 6165, 543, 9594, 21084, 267, 1223, 948, 11574, 922, 1764, 593, 4299, 1453, 780, 11917, 7295, 692, 21609, 3125, 8377, 814, 6603, 15435, 17114, 538, 519, 2475, 267, 7133, 5176, 476, 1691, 2929, 6107, 9907, 476, 273, 268, 866, 1296, 2025, 630, 295, 2297, 1696, 620, 1421, 476, 1001, 280, 1040, 25667, 3928, 8428, 3648, 2066, 7292, 543, 6803, 2516, 267, 609, 2362, 9860, 2938, 1851, 17104, 543, 6348, 6953, 529, 13732, 4563, 1453, 3379, 547, 6348, 6953, 529, 13732, 6519, 1453, 630, 8201, 476, 273, 6393, 763, 3123, 540, 6689, 8377, 616, 12947, 716, 3645, 267, 5473, 4719, 32739, 267, 14432, 8192, 3270, 267, 25161, 2623, 267, 13385, 3207, 267, 543, 14227, 2188, 630, 298, 7568, 1731, 1299, 918, 2033, 22894, 267, 476, 1001, 277, 1040, 8899, 13867, 3885, 3068, 3606, 2591, 1644, 547, 1426, 24301, 1107, 2127, 1141, 4195, 3132, 543, 14312, 3681, 616, 17077, 1107, 3056, 547, 2799, 4616, 540, 17811, 1673, 1619, 267, 9268, 3536, 269, 3958, 267, 6725, 12485, 13389, 12102, 2950, 3565, 547, 14432, 4189, 6208, 543, 2417, 28511, 1072, 13103, 780, 11328, 6761, 5466, 6689, 8377, 2154, 3102, 4485, 21214, 1153, 21195, 5059, 593, 6484, 2069, 267, 4824, 8244, 540, 2635, 1426, 5079, 267, 2922, 5054, 20009, 547, 2168, 2534, 267, 543, 4507, 5885, 20418, 22612, 543, 8653, 269, 5047, 267, 21769, 1063, 2146, 3906, 267, 3506, 267, 3782, 7426, 267, 543, 14519, 616, 1898, 547, 2327, 4264, 3356, 2509, 14874, 1072, 13103, 2404, 609, 8377, 780, 26045, 2657, 692, 14399, 781, 2790, 1072, 4713, 13822, 513, 1713, 2707, 540, 1072, 13103, 267, 7133, 909, 547, 835, 538, 2947, 2475, 6107, 12422, 630, 30560, 1731, 836, 553, 1696, 620, 1421, 476, 1001, 271, 1040, 28239, 4713, 267, 4160, 4713, 267, 3007, 17211, 30759, 4524, 630, 4696, 8461, 1070, 10295, 8552, 4524, 630, 32359, 1070, 543, 26688, 5615, 2099, 1455, 21904, 630, 8110, 537, 1696, 620, 1421, 476, 1001, 274, 1040, 25214, 12790, 5095, 267, 1519, 11806, 266, 6107, 267, 7087, 4892, 267, 3979, 4892, 267, 5824, 657, 267, 543, 7489, 4892, 1995, 3152, 7496, 547, 2790, 1072, 2533, 982, 824, 15295, 2516, 630, 14503, 2803, 1696, 620, 1421, 476, 1708, 271, 6393, 1805, 7950, 4478, 2790, 4576, 267, 2686, 4978, 267, 1893, 3604, 267, 7130, 267, 2883, 10148, 267, 543, 22520, 540, 15520, 19579, 19353, 17225, 12905, 1569, 547, 3617, 1416, 630, 310, 836, 1696, 620, 1421, 476, 1220, 276, 1040, 25613, 328, 30938, 543, 15860, 2790, 1072, 2152, 1282, 2565, 11095, 5712, 666, 11874, 1860, 4081, 2773, 267, 9263, 3347, 267, 543, 2104, 7694, 16548, 267, 3976, 17923, 9979, 540, 19319, 780, 292, 742, 2176, 547, 2569, 2790, 1072, 13103, 4125, 9750, 6142, 3795, 267, 10128, 2790, 1072, 2533, 883, 3119, 1416, 5468, 267, 2866, 7855, 543, 12963, 2103, 538, 2038, 8446, 543, 6304, 267, 543, 5807, 6043, 3842, 2963, 2861, 6604, 3292, 269, 4980, 12147, 6213, 2326, 543, 2200, 3358, 547, 3309, 2950, 666, 849, 3895, 4656, 267, 6278, 267, 543, 12802, 538, 2126, 780, 302, 1537, 2657, 692, 8601, 1373, 7361, 28824, 267, 5959, 1286, 625, 3788, 519, 1034, 1455, 5312, 2068, 1851, 2475, 1453, 267, 3226, 1346, 689, 1970, 13867, 10820, 630, 291, 6614, 1696, 620, 1421, 476, 1001, 280, 1040, 13780, 4204, 267, 936, 3368, 540, 782, 1453, 630, 720, 476, 273, 268, 1556, 264, 723, 1185, 19659, 267, 609, 811, 14733, 13103, 4767, 1851, 17104, 543, 1875, 6953, 529, 13732, 3109, 1453, 630, 8201, 476, 274, 6393, 21574, 13205, 547, 7850, 5711, 3782, 1331, 1942, 267, 6283, 7965, 267, 3908, 8502, 8244, 267, 543, 15366, 8456, 4724, 5959, 1416, 630, 10955, 601, 7322, 1299, 932, 4883, 267, 476, 1001, 276, 1040, 769, 1228, 12930, 14806, 9179, 267, 4006, 2000, 23565, 11326, 267, 543, 4057, 5711, 9882, 2853, 849, 3565, 547, 11506, 1286, 625, 9860, 269, 772, 660, 8972, 9178, 666, 1291, 547, 1928, 267, 3968, 267, 22926, 267, 4633, 15641, 9323, 267, 543, 15176, 1582, 12635, 267, 6038, 7133, 2949, 8171, 543, 4081, 1967, 780, 25618, 625, 547, 10994, 5711, 1072, 13103, 2874, 540, 7598, 1216, 14806, 9179, 3292, 267, 3246, 27083, 32158, 9309, 618, 26027, 585, 5959, 5773, 267, 5356, 1153, 2861, 13021, 656, 3156, 267, 543, 6220, 5711, 1072, 3334, 883, 6296, 2564, 2638, 5725, 269, 7991, 23793, 3646, 10771, 23833, 3800, 267, 971, 607, 17678, 2553, 267, 2732, 12381, 267, 543, 2834, 5959, 11564, 267, 3180, 9153, 585, 32560, 10616, 538, 5711, 1072, 4093, 780, 16966, 547, 5516, 692, 15563, 267, 21376, 1569, 547, 3782, 8309, 3648, 547, 1072, 13103, 4810, 676, 1453, 269, 11790, 12018, 1569, 1331, 26622, 267, 10923, 16133, 267, 10409, 6677, 867, 766, 267, 2686, 17356, 267, 543, 3972, 538, 519, 1062, 630, 4517, 3205, 1696, 620, 1421, 476, 1220, 274, 1040, 1133, 1231, 3293, 543, 896, 1231, 3293, 1453, 616, 1447, 2693, 547, 4309, 2556, 2564, 1416, 267, 3056, 547, 16607, 5868, 543, 2126, 540, 8650, 543, 5312, 2175, 630, 10870, 1156, 1696, 620, 1421, 476, 1001, 280, 6393, 22091, 21505, 27083, 25046, 267, 6908, 23164, 27350, 3157, 267, 10996, 643, 1944, 7589, 538, 5313, 6351, 3292, 267, 543, 4180, 12581, 3892, 540, 3782, 6703, 616, 4105, 3268, 4724, 993, 601, 1640, 908, 13103, 5532, 547, 1569, 547, 1416, 269, 17791, 25924, 10124, 1459, 606, 4316, 585, 6552, 15360, 267, 7175, 3914, 883, 9207, 5703, 4525, 543, 29103, 1359, 3461, 4491, 3187, 2792, 780, 6962, 692, 18698, 1483, 8996, 1806, 540, 1072, 13103, 32514, 919, 875, 7293, 2188, 2170, 609, 1367, 7400, 4162, 547, 3337, 1126, 1072, 4093, 269, 18601, 891, 1950, 2152, 7569, 1617, 850, 767, 7459, 13389, 3597, 3123, 267, 8151, 689, 12550, 8397, 4507, 17935, 547, 2087, 2713, 2175, 543, 9004, 25641, 2853, 547, 2890, 7400, 3527, 7393, 4791, 13341, 543, 2123, 16882, 269, 1635, 14237, 6568, 543, 1620, 267, 2104, 4648, 8149, 547, 9698, 666, 6536, 513, 811, 1175, 2486, 1141, 1169, 1126, 29263, 7488, 540, 4282, 610, 3961, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 8139, 5753, 781, 2657, 2598, 1706, 885, 257, 5497, 585, 2852, 1053, 563, 2171, 723, 2907, 4988, 3184, 4433, 264, 834, 272, 269, 4985, 2580, 834, 273, 269, 4317, 543, 2804, 2188, 7133, 1453, 781, 1072, 257, 543, 616, 1631, 1603, 513, 3184, 593, 834, 274, 269, 17796, 540, 1072, 13103, 538, 1453, 8487, 2171, 723, 2907, 4988, 519, 1739, 1016, 26972, 538, 519, 1699, 3184, 281, 834, 274, 269, 272, 269, 11137, 540, 1072, 13103, 538, 1453, 538, 519, 772, 2529, 1701, 267, 834, 274, 269, 273, 269, 4317, 543, 2804, 2188, 7700, 547, 1072, 13103, 8487, 2237, 519, 1007, 1016, 15492, 11331, 834, 274, 269, 274, 269, 6201, 540, 1072, 13103, 538, 1453, 257, 1247, 3843, 547, 581, 912, 268, 21004, 910, 596, 1711, 4101, 9499, 602, 3382, 519, 1570, 538, 3178, 563, 268, 12056, 910, 707, 9499, 723, 513, 2239, 9095, 543, 2502, 3159, 267, 899, 519, 1603, 540, 7812, 11066, 563, 268, 11930, 910, 596, 946, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 8855, 547, 1118, 1543, 6098, 693, 2852, 1053, 267, 945, 949, 723, 930, 13654, 1702, 855, 616, 711, 4966, 538, 519, 2361, 269, 634, 1570, 1058, 581, 2143, 543, 2219, 4538, 269, 0, 634, 4055, 729, 4904, 609, 606, 2011, 540, 24736, 607, 519, 8470, 1235, 3576, 741, 16295, 593, 3942, 269, 634, 15645, 1807, 267, 513, 19023, 19784, 3957, 23718, 267, 1350, 2331, 1472, 519, 3349, 267, 1818, 2386, 1200, 14538, 941, 6899, 1354, 1352, 3459, 269, 834, 299, 611, 625, 543, 9543, 5443, 2437, 1352, 3459, 267, 5466, 519, 14095, 2912, 3218, 1756, 267, 834, 933, 616, 1934, 2221, 547, 1865, 519, 1764, 602, 3872, 5238, 723, 1185, 593, 519, 2208, 543, 1646, 540, 1585, 6080, 543, 2804, 3255, 538, 1114, 4525, 3010, 2026, 519, 3365, 1021, 5747 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 513, 2631, 540, 3354, 543, 5610, 538, 2199, 2950, 519, 1732, 454, 303, 2350, 320, 973, 20044, 578, 3570, 1315, 9263, 24595, 1957, 454, 293, 3796, 538, 713, 6221, 454, 763, 1739, 12689, 6119, 616, 2404, 609, 713, 6221, 281, 0, 303, 3326, 13541, 24975, 5444, 2095, 538, 543, 1851, 4610, 540, 620, 325, 2788, 320, 3812, 585, 6079, 454, 289, 1195, 548, 267, 715, 7614, 773, 918, 4275, 454, 18404, 20631, 17004, 2407, 6221, 2594, 454, 15899, 1790, 3326, 1588, 676, 10987, 568, 2556, 585, 5010, 620, 325, 2788, 320, 6079, 2504, 269, 1677, 2226, 1083, 13926, 19454, 538, 620, 325, 2788, 320, 267, 6079, 12696, 15666, 547, 8901, 10072, 4441, 547, 7413, 610, 2061, 13520, 8184, 543, 7766, 14947, 2095, 1063, 4610, 269, 634, 2799, 946, 540, 16220, 268, 19956, 1229, 630, 12283, 264, 7031, 538, 6683, 814, 6659, 4145, 936, 3542, 13541, 24975, 5444, 2095, 1063, 1098, 28193, 543, 6671, 6694, 8677, 269, 634, 476, 1001, 272, 632, 28832, 540, 16220, 22041, 9848, 874, 657, 622, 15033, 620, 325, 2788, 320, 676, 519, 22340, 814, 6383, 1857, 6161, 543, 3621, 7521, 936, 1699, 5227, 13520, 2359, 2853, 543, 741, 2702, 547, 2226, 1083, 13926, 19454, 540, 620, 325, 2788, 320, 6738, 585, 6079, 2504, 269, 634, 3119, 6662, 540, 713, 1382, 568, 547, 3313, 519, 5107, 602, 25199, 1404, 538, 7700, 547, 19888, 1600, 5444, 2095, 1063, 620, 325, 2788, 320, 4610, 269, 2171, 11117, 519, 1764, 540, 27436, 13520, 15209, 2853, 593, 1098, 28193, 14947, 2095, 1063, 22883, 6053, 9678, 620, 325, 2788, 320, 4610, 676, 28498, 9932, 10987, 267, 7442, 529, 20649, 32070, 267, 547, 16175, 28532, 2390, 1098, 28193, 620, 325, 2788, 320, 32395, 267, 543, 24317, 873, 476, 12208, 5998, 547, 28532, 593, 524, 3042, 6671, 620, 325, 2788, 320, 1739, 2901, 476, 279, 610, 476, 3953, 3108, 540, 10072, 689, 519, 1098, 28193, 2707, 269, 9061, 1790, 3326, 1588, 1063, 1098, 28193, 543, 6671, 620, 325, 2788, 320, 729, 5176, 17515, 630, 271, 269, 1822, 5400, 8472, 1739, 5216, 3108, 540, 10072, 689, 519, 1098, 28193, 2707, 269, 634, 620, 325, 2788, 320, 6978, 12827, 1154, 13520, 267, 23729, 778, 850, 4232, 1495, 1092, 630, 3201, 290, 289, 1070, 568, 1776, 20749, 7307, 3542, 13541, 1031, 14916, 538, 620, 325, 2788, 320, 26853, 269, 1284, 11117, 519, 3310, 540, 519, 9338, 290, 289, 593, 5444, 2095, 1063, 23817, 543, 6671, 620, 325, 2788, 320, 6079, 4610, 676, 4152, 585, 519, 4527, 540, 519, 23817, 16023, 538, 14947, 14074, 6394, 689, 2531, 545, 3796, 4092, 538, 6671, 620, 325, 2788, 320, 6079, 4610, 12630, 2047, 11105, 547, 23817, 620, 325, 2788, 320, 4610, 269, 2717, 6352, 5439, 6394, 689, 2531, 545, 3796, 538, 6671, 6079, 4610, 941, 693, 4756, 9883, 689, 519, 11105, 23817, 4610, 269, 1325, 325, 2788, 320, 6079, 538, 519, 25610, 540, 1142, 2531, 545, 850, 729, 19122, 543, 7318, 585, 519, 1098, 2102, 324, 269, 1284, 1336, 602, 519, 9338, 290, 289, 4749, 585, 1137, 693, 9883, 799, 9765, 1699, 9193, 585, 9338, 290, 289, 25061, 2039, 269, 3958, 267, 23817, 16023, 4082, 538, 19122, 6671, 6079, 729, 9571, 693, 3928, 602, 20546, 3964, 29676, 585, 1083, 13926, 19454, 269, 2725, 553, 9092, 5222, 540, 9338, 290, 289, 24975, 14947, 2095, 941, 9672, 543, 666, 581, 1031, 547, 1217, 2257, 3609, 3823, 519, 1646, 540, 1655, 2359, 2853, 19086, 19888, 1600, 5444, 2095, 1063, 16220, 3982, 620, 325, 2788, 320, 8677, 269, 0, 10303, 540, 741, 11606, 267, 741, 512, 13116, 4763, 543, 741, 5266, 3551, 1349, 1464, 267, 29712, 3941, 723, 513, 1761, 607, 513, 21285, 585, 519, 6211, 2783, 540, 11934, 543, 21439, 269, 1924, 2484, 519, 1761, 540, 713, 1895, 568, 3768, 699, 343, 680, 334, 1243, 585, 5631, 2930, 4128, 282, 519, 18784, 2079, 540, 29712, 1712, 31174, 1137, 568, 11668, 14021, 543, 3340, 3573, 6791, 269, 2060, 519, 8244, 540, 5266, 1804, 7636, 10850, 267, 621, 2968, 2009, 547, 1374, 7636, 29508, 602, 1450, 585, 519, 11050, 2079, 540, 1367, 26908, 1996, 1950, 5027, 10080, 269, 26592, 630, 336, 264, 19738, 29508, 941, 1031, 547, 2263, 8901, 3892, 3270, 540, 476, 3393, 1367, 26908, 630, 520, 1920, 267, 12593, 543, 2249, 1377, 264, 2066, 519, 13814, 693, 8544, 657, 7051, 630, 7120, 610, 2361, 1107, 4336, 7516, 281, 476, 272, 1107, 476, 272, 267, 1822, 544, 1040, 29425, 941, 4092, 538, 1079, 1949, 630, 333, 710, 27442, 1076, 4610, 543, 1614, 26377, 609, 1164, 2030, 4763, 264, 543, 1614, 3037, 2010, 630, 3405, 710, 10036, 267, 5757, 10036, 543, 5070, 1040, 769, 1142, 2361, 476, 1911, 12432, 5439, 941, 6394, 676, 1210, 513, 10386, 7470, 630, 1911, 1535, 476, 1911, 332, 264, 20979, 585, 2520, 739, 520, 2065, 2079, 269, 3962, 3732, 630, 333, 3436, 272, 267, 1220, 264, 729, 9916, 609, 827, 476, 1839, 910, 476, 1789, 29712, 1712, 3454, 517, 1808, 7636, 29508, 269, 769, 2698, 936, 476, 3374, 267, 1822, 7117, 303, 10135, 6547, 941, 2196, 269, 32085, 3270, 540, 29712, 1712, 26908, 941, 25528, 676, 1210, 21091, 715, 6479, 5487, 2897, 20976, 11582, 630, 2562, 6369, 264, 538, 4999, 609, 2520, 739, 520, 6750, 9781, 269, 623, 2255, 1465, 1522, 581, 1644, 547, 2901, 29712, 1712, 7592, 267, 971, 607, 8023, 4640, 267, 1560, 2450, 543, 3935, 6500, 1790, 619, 3563, 630, 322, 1790, 264, 4336, 267, 610, 519, 4162, 540, 519, 1604, 267, 971, 607, 1062, 267, 3037, 1826, 543, 824, 705, 8438, 2175, 269, 634, 2164, 602, 786, 581, 4843, 1397, 513, 1390, 8390, 538, 3892, 3270, 1851, 29712, 1712, 26908, 267, 711, 1152, 593, 519, 4493, 540, 741, 7592, 855, 849, 1759, 593, 2825, 4162, 269, 1452, 1239, 616, 1898, 585, 519, 1374, 540, 23963, 3280, 10386, 14565, 585, 29712, 3941, 538, 6694, 543, 2067, 3037, 693, 20267, 732, 4336, 543, 1657, 563, 347, 26397, 4567, 1475, 13775, 910, 476, 1001, 277, 2008, 347, 30631, 1475, 3953, 526, 32600, 3864, 5980, 540, 715, 14670, 6048, 910, 10713, 573, 1228, 798, 3687, 14833, 267, 645, 4048, 320, 267, 17577, 2008, 291, 4851, 281, 476, 2764, 4119, 476, 1001, 277, 9890, 476, 272, 9484, 476, 1001, 277, 454, 347, 3519, 12401, 1475, 3953, 526, 32600, 3864, 5980, 540, 715, 14670, 6048, 2008, 347, 20540, 1475, 2764, 270, 5400, 270, 1626, 9890, 476, 272, 270, 6021, 270, 1626, 2008, 5226, 626, 267, 595, 269, 654, 1421, 717, 677, 267, 717, 1421, 631, 5622, 6359, 2006, 267, 623, 269, 808, 269, 654, 1421, 8709, 3954, 661, 3149, 523, 267, 590, 269, 808, 269, 808, 1421, 26883, 267, 667, 269, 808, 1421, 25234, 12027, 267, 808, 1421, 1299, 4477, 1457, 267, 808, 269, 630, 1001, 277, 1040, 26346, 11837, 540, 8901, 3892, 3270, 540, 18714, 29712, 3941, 693, 5251, 4336, 8761, 3982, 267, 3235, 10999, 4143, 3270, 269, 476, 12893, 268, 12893, 269, 17593, 689, 476, 3953, 526, 32600, 3864, 5980, 540, 715, 14670, 6048, 267, 645, 4048, 320, 267, 17577, 269, 0, 2207, 303, 1796, 585, 27617, 12754, 4058, 269, 661, 14641, 568, 606, 6355, 2359, 12229, 267, 7577, 946, 713, 585, 1732, 5883, 741, 1870, 3252, 269, 661, 14641, 5004, 12229, 568, 1031, 547, 1118, 707, 1870, 11327, 543, 1134, 6896, 11783, 661, 14641, 3301, 568, 10416, 946, 547, 1544, 1585, 1870, 1599, 899, 8605, 12020, 267, 19007, 267, 16373, 543, 6455, 267, 22802, 5004, 543, 1744, 6235, 1299, 32237, 563, 2207, 303, 12229, 568, 606, 7471, 2070, 540, 4295, 1870, 3157, 267, 1419, 538, 1483, 942, 1210, 5150, 21438, 6538, 269, 661, 14641, 3950, 782, 1870, 2200, 268, 6666, 267, 6151, 2326, 267, 2504, 4390, 267, 6718, 543, 1082, 811, 269, 3367, 2859, 0, 1607, 568, 513, 16590, 856, 540, 519, 19545, 281, 27284, 5900, 22326, 11150, 912, 16391, 1436, 281, 769, 513, 2361, 630, 1321, 332, 343, 2190, 332, 264, 568, 1373, 5129, 476, 275, 642, 476, 275, 7132, 476, 274, 9243, 5716, 609, 519, 2832, 547, 3180, 519, 3440, 607, 1279, 607, 2009, 269, 2290, 9243, 6345, 568, 13883, 538, 519, 2361, 267, 1247, 519, 1079, 1866, 19582, 519, 2110, 5011, 269, 1403, 519, 3440, 3762, 519, 2361, 267, 519, 16455, 12857, 513, 1007, 3440, 563, 10870, 2286, 281, 4414, 13290, 547, 3180, 1378, 3440, 15896, 607, 1279, 607, 2009, 269, 1403, 835, 540, 519, 3544, 25178, 619, 568, 538, 3440, 15896, 267, 589, 543, 645, 2990, 4922, 269, 1403, 1631, 519, 9243, 6345, 645, 7158, 538, 519, 4099, 630, 553, 513, 4099, 4571, 325, 1408, 1457, 1070, 519, 4544, 5716, 786, 581, 6410, 607, 1454, 856, 540, 519, 7623, 602, 519, 7934, 1780, 568, 2009, 547, 1404, 269, 1403, 519, 4099, 568, 4988, 267, 621, 1223, 581, 8118, 936, 589, 610, 645, 269, 4438, 519, 2417, 1404, 267, 519, 2298, 540, 645, 568, 18796, 267, 945, 1223, 581, 16091, 689, 782, 8846, 538, 519, 4099, 269, 1677, 1832, 9350, 543, 547, 2212, 585, 513, 1863, 8429, 4781, 1915, 3278, 713, 6345, 563, 23325, 1219, 1742, 538, 513, 10230, 19319, 269, 634, 1101, 17872, 1899, 589, 543, 645, 11604, 1079, 585, 2072, 267, 945, 991, 547, 9718, 1996, 513, 9120, 1297, 540, 5716, 630, 553, 585, 1383, 513, 1394, 1899, 540, 476, 274, 610, 476, 275, 5716, 1040, 1358, 18448, 10596, 998, 519, 4099, 543, 1463, 519, 6285, 936, 519, 13617, 1790, 657, 1431, 269, 589, 2744, 540, 519, 3440, 568, 593, 519, 7158, 595, 543, 667, 10853, 269, 595, 543, 667, 616, 538, 20772, 547, 15936, 10596, 547, 595, 543, 667, 269, 3004, 1441, 568, 519, 6099, 3845, 547, 519, 5732, 5293, 547, 18545, 269, 595, 543, 667, 4927, 9444, 1796, 547, 2673, 630, 26132, 18545, 1131, 711, 581, 5293, 547, 1070, 6862, 1932, 2484, 6306, 630, 16269, 1131, 711, 581, 2111, 547, 4283, 513, 546, 3241, 1916, 1700, 570, 716, 673, 14362, 454, 1700, 5811, 540, 32163, 725, 538, 519, 10794, 454, 1700, 589, 7352, 1214, 540, 13756, 543, 1215, 547, 3213, 778, 23067, 454, 12041, 281, 24697, 570, 675, 330, 630, 5976, 948, 543, 7139, 4084, 676, 681, 2788, 8834, 264, 3798, 1243, 676, 8834, 5576, 516, 10719, 3690, 3836, 676, 281, 570, 329, 12643, 523, 2142, 14982, 15503, 281, 4659, 540, 15272, 13558, 267, 3647, 523, 267, 5125, 630, 4178, 4732, 665, 1356, 18396, 2851, 2593, 994, 1492, 13558, 3766, 877, 2221, 568, 607, 2938, 689, 513, 17872, 1448, 540, 2070, 267, 8032, 676, 519, 3440, 11399, 1304, 730, 21108, 269, 634, 17872, 5832, 540, 2185, 5716, 568, 711, 1256, 538, 519, 2539, 682, 8046, 513, 14815, 15042, 269, 28805, 547, 1404, 16756, 543, 3976, 267, 519, 22215, 1404, 568, 1500, 811, 2352, 269, 4475, 267, 621, 568, 1271, 547, 1711, 2994, 1996, 9395, 17872, 21272, 269, 1809, 1256, 10427, 22215, 2994, 1152, 1599, 952, 1978, 4909, 3741, 616, 1134, 2919, 269, 661, 2381, 1836, 1271, 585, 713, 3483, 568, 621, 547, 15931, 569, 1930, 543, 946, 5624, 543, 8429, 2000, 6951, 269, 901, 2882, 1367, 2930, 1983, 543, 5759, 607, 1134, 607, 513, 2919, 543, 13988, 1895, 2389, 716, 673, 2623, 563, 763, 2856, 3297, 713, 26496, 281, 9122, 593, 17386, 6474, 1606, 15856, 725, 267, 3435, 786, 581, 4843, 799, 666, 581, 8036, 538, 1507, 2516, 607, 1134, 607, 538, 513, 1950, 3635, 563, 296, 3357, 547, 917, 24697, 570, 675, 330, 607, 513, 1762, 16805, 16455, 269, 898, 729, 1250, 12257, 547, 948, 1864, 14291, 519, 2856, 543, 18913, 1864, 609, 519, 5137, 540, 713, 26496, 269, 898, 3568, 543, 2488, 1702, 540, 28365, 9382, 543, 10694, 5751, 26729, 585, 19393, 540, 782, 2157, 563, 2171, 4126, 602, 519, 26496, 8309, 547, 519, 6454, 540, 707, 2319, 779, 2773, 269, 0, 7374, 338, 1299, 23861, 338, 454, 20007, 2294, 602, 723, 1044, 3254, 547, 2087, 1453, 779, 1582, 12635, 267, 2566, 2157, 267, 543, 1565, 1761, 1331, 7244, 5751, 267, 11636, 4887, 11005, 267, 2241, 21018, 267, 14751, 566, 267, 543, 2318, 14839, 269, 4039, 1314, 566, 2553, 666, 5818, 1453, 781, 1582, 12635, 267, 607, 1134, 607, 4758, 873, 2645, 547, 11883, 609, 2566, 543, 4160, 267, 543, 10845, 2359, 269, 25990, 568, 1034, 1419, 1031, 607, 513, 1259, 547, 2569, 2566, 267, 2087, 1582, 12635, 267, 543, 1205, 7759, 540, 1022, 2942, 610, 27676, 4555, 910, 6028, 811, 4055, 585, 25273, 267, 5876, 543, 2123, 2208, 256, 24238, 2553, 723, 1044, 3254, 547, 2087, 1453, 779, 5834, 543, 6947, 1983, 267, 607, 1134, 607, 20993 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3347, 609, 1920, 267, 543, 6126, 22888, 630, 29662, 1457, 1157, 1299, 28563, 342, 8636, 267, 476, 1001, 276, 1040, 769, 519, 22984, 540, 14784, 952, 596, 7747, 606, 4587, 1268, 596, 786, 8275, 602, 789, 27464, 2312, 540, 12416, 543, 11991, 22195, 269, 5369, 10999, 789, 31028, 689, 519, 14784, 269, 3733, 3993, 3081, 621, 1655, 267, 968, 296, 2451, 1317, 519, 3377, 786, 723, 621, 593, 693, 476, 276, 281, 876, 8325, 543, 972, 568, 1100, 991, 585, 803, 547, 581, 538, 519, 1647, 540, 4896, 779, 3190, 6100, 634, 4641, 3297, 602, 267, 543, 1832, 538, 2247, 713, 568, 585, 4376, 602, 1223, 7654, 2049, 538, 519, 1158, 649, 2661, 538, 2221, 267, 1352, 568, 1318, 547, 2196, 1631, 543, 2307, 2055, 2663, 563, 310, 529, 3256, 568, 513, 8825, 3815, 602, 1223, 11126, 606, 11361, 1367, 779, 1072, 543, 6043, 269, 27067, 568, 3850, 13951, 547, 798, 519, 1318, 3364, 585, 741, 2247, 267, 1560, 267, 543, 6891, 1256, 950, 1100, 835, 568, 8384, 269, 1280, 1383, 267, 7326, 568, 16706, 707, 7633, 543, 6091, 538, 1931, 585, 873, 711, 547, 1205, 13888, 543, 11213, 269, 27067, 568, 4189, 2635, 269, 27067, 568, 2921, 1416, 540, 3054, 950, 649, 616, 1762, 538, 1931, 585, 938, 4703, 547, 9684, 721, 950, 621, 9428, 2025, 269, 27067, 521, 519, 1318, 3364, 547, 798, 267, 855, 649, 782, 6560, 609, 621, 3232, 269, 0, 292, 24294, 10577, 723, 1831, 851, 540, 1004, 779, 2729, 2221, 563, 292, 24294, 10577, 2097, 538, 1082, 3029, 543, 5372, 2757, 13189, 563, 763, 11495, 3017, 6013, 538, 519, 1570, 540, 519, 13189, 267, 12077, 3167, 13189, 602, 946, 5277, 610, 5277, 538, 741, 13189, 267, 543, 6671, 13189, 602, 946, 10269, 563, 7212, 1114, 267, 891, 1079, 2010, 540, 13189, 723, 513, 2942, 1764, 593, 1560, 1072, 563, 2080, 779, 519, 2407, 4901, 563, 324, 24294, 12076, 5288, 16906, 454, 292, 24294, 10577, 723, 1044, 1472, 2094, 519, 476, 4350, 271, 338, 267, 2687, 547, 7082, 14223, 2516, 585, 7296, 29696, 8925, 563, 1103, 2487, 1296, 267, 519, 6228, 540, 552, 24294, 10577, 610, 552, 24294, 10577, 814, 5051, 13631, 1857, 3007, 563, 1103, 519, 2344, 540, 552, 24294, 10577, 267, 552, 24294, 10577, 267, 11517, 9088, 267, 11517, 9088, 267, 552, 24294, 10577, 267, 5907, 23238, 267, 5907, 15559, 267, 2123, 11517, 9088, 630, 31688, 29090, 1070, 552, 24294, 10577, 267, 552, 23337, 758, 619, 267, 3039, 13189, 267, 5100, 13189, 267, 5100, 13189, 563, 1103, 12868, 267, 552, 24294, 10577, 538, 519, 1106, 540, 552, 24294, 10577, 849, 723, 5294, 543, 931, 563, 763, 2475, 5253, 543, 10684, 10029, 630, 21990, 6865, 264, 814, 849, 6069, 513, 7333, 593, 552, 24294, 10577, 563, 6097, 547, 623, 1180, 758, 1473, 320, 11233, 267, 519, 7887, 3017, 1063, 552, 24294, 10577, 543, 2834, 13189, 538, 2489, 568, 10269, 543, 15559, 563, 4913, 267, 602, 1281, 711, 1611, 6671, 13189, 616, 811, 5739, 547, 519, 1560, 543, 552, 24294, 10577, 610, 552, 24294, 10577, 616, 10930, 563, 16605, 538, 2247, 602, 10269, 630, 1492, 1292, 5057, 540, 13189, 27160, 24294, 10577, 264, 568, 711, 519, 1152, 2014, 540, 2860, 543, 824, 3978, 3676, 563, 292, 24294, 10577, 543, 552, 24294, 10577, 2270, 1082, 5820, 602, 666, 723, 513, 2942, 1764, 593, 707, 1072, 563, 307, 984, 8829, 1543, 538, 13189, 543, 552, 24294, 10577, 454, 290, 7837, 10577, 543, 552, 24294, 10577, 616, 1419, 1031, 1927, 547, 3313, 799, 568, 10930, 543, 811, 5739, 982, 519, 824, 563, 3719, 1354, 6616, 2436, 621, 779, 2922, 610, 711, 267, 621, 779, 1271, 547, 917, 1079, 1919, 1101, 563, 272, 269, 12474, 540, 30926, 30926, 454, 307, 984, 8829, 543, 8673, 2270, 513, 3099, 540, 5739, 6464, 267, 1519, 912, 1700, 1035, 13926, 24957, 282, 1107, 21449, 821, 282, 1488, 11420, 545, 1107, 3600, 14337, 514, 1107, 2549, 3000, 807, 1107, 5484, 345, 2940, 1107, 27974, 26606, 1107, 26537, 1756, 269, 31131, 24957, 1107, 21193, 4592, 26952, 269, 1107, 24729, 340, 2940, 1107, 12832, 13534, 1107, 20579, 269, 1107, 12539, 24785, 563, 273, 269, 12474, 540, 552, 24294, 10577, 454, 16605, 538, 2247, 602, 519, 22643, 832, 689, 552, 24294, 10577, 616, 711, 8723, 22643, 832, 563, 292, 24294, 12076, 11517, 3568, 513, 3099, 540, 6878, 267, 543, 519, 12080, 540, 2657, 524, 2572, 519, 1739, 912, 1700, 15522, 1107, 513, 19979, 5214, 7623, 630, 309, 8016, 5148, 32746, 8896, 6464, 269, 1107, 6101, 24957, 1107, 4412, 22005, 28340, 282, 1107, 1035, 25485, 25681, 282, 15910, 4094, 563, 303, 1886, 22005, 28340, 666, 8886, 622, 9641, 267, 4064, 267, 543, 7244, 2042, 971, 607, 10447, 267, 26032, 540, 7362, 267, 543, 2377, 565, 1143, 563, 301, 545, 13534, 3123, 23776, 2360, 602, 2014, 4965, 267, 14331, 267, 1560, 12152, 832, 267, 26032, 540, 7362, 267, 8628, 5761, 3441, 267, 5761, 2860, 267, 21729, 27019, 560, 9689, 267, 543, 2669, 563, 8110, 529, 611, 13519, 25485, 3123, 30189, 563, 290, 32555, 11077, 1336, 538, 552, 24294, 10577, 1331, 10269, 10391, 562, 14058, 8533, 630, 4811, 2793, 1070, 1019, 26120, 28340, 630, 291, 9680, 1070, 17333, 13521, 2940, 476, 273, 267, 26669, 559, 8533, 267, 6101, 24957, 267, 543, 1035, 14337, 514, 563, 1103, 1840, 547, 891, 6878, 267, 972, 949, 581, 811, 6464, 538, 552, 24294, 10577, 563, 1607, 568, 1317, 711, 782, 6878, 538, 1034, 2472, 616, 1419, 7396, 563, 763, 12178, 540, 13189, 543, 552, 24294, 10577, 454, 290, 7837, 10577, 543, 552, 24294, 10577, 723, 2942, 1072, 2360, 563, 26452, 2090, 723, 3254, 602, 5761, 2860, 267, 900, 19148, 572, 2742, 267, 2295, 2068, 543, 824, 3978, 10108, 2356, 2049, 1310, 1296, 540, 7296, 563, 19602, 267, 513, 1867, 689, 519, 2475, 15544, 585, 8376, 6513, 543, 10644, 630, 24922, 264, 1336, 2963, 602, 552, 24294, 10577, 666, 2014, 17465, 543, 3978, 5761, 3441, 1369, 513, 1032, 610, 1256, 513, 1032, 1310, 4616, 563, 3383, 2484, 267, 972, 568, 1100, 2963, 602, 552, 24294, 10577, 616, 1022, 1447, 5739, 610, 1447, 2500, 982, 552, 24294, 10577, 269, 0, 7709, 292, 476, 3583, 276, 271, 25849, 906, 281, 16989, 4804, 14362, 454, 7709, 292, 476, 3583, 276, 271, 25849, 906, 281, 16989, 4804, 14362, 454, 9128, 293, 4488, 4811, 5508, 23140, 4041, 300, 2177, 3951, 3036, 5058, 10396, 8863, 305, 2177, 2975, 31178, 12164, 14888, 16739, 454, 3849, 738, 4804, 14362, 454, 17206, 540, 12142, 27596, 585, 2657, 7070, 7379, 292, 3583, 276, 271, 281, 15845, 15369, 6657, 585, 16195, 28968, 454, 4696, 17109, 19845, 27073, 5058, 11553, 2562, 5746, 12195, 2464, 454, 3849, 738, 1565, 6240, 729, 4330, 676, 29346, 5700, 956, 607, 513, 1505, 1141, 4079, 1451, 998, 1582, 1673, 3925, 543, 1582, 2173, 582, 10474, 630, 305, 1380, 342, 15426, 901, 6240, 6941, 602, 4079, 616, 3804, 20218, 267, 789, 723, 1585, 5301, 585, 1565, 543, 789, 2141, 1445, 593, 741, 3853, 540, 8236, 811, 1702, 543, 2069, 269, 898, 6941, 602, 972, 568, 606, 27808, 8404, 547, 1451, 5635, 547, 513, 7820, 1268, 269, 4804, 568, 1582, 30928, 267, 950, 4079, 6430, 547, 1451, 267, 789, 616, 1134, 3238, 538, 519, 1565, 543, 789, 723, 6788, 547, 581, 1558, 269, 4340, 547, 630, 305, 639, 8688, 1070, 1034, 4079, 3442, 2937, 1565, 547, 1118, 13120, 610, 14842, 547, 513, 1259, 540, 1272, 602, 666, 1331, 1983, 267, 2623, 267, 1702, 267, 4567, 267, 1377, 543, 1256, 547, 1039, 1871, 547, 2933, 563, 3849, 738, 1565, 6240, 568, 513, 2189, 835, 1317, 621, 568, 1582, 2173, 582, 17300, 267, 6267, 666, 1451, 693, 741, 1378, 10605, 267, 713, 666, 3006, 581, 998, 606, 2228, 1362, 610, 538, 1362, 269, 26189, 832, 616, 811, 883, 3843, 547, 948, 519, 6267, 547, 3035, 741, 3853, 2864, 982, 3843, 547, 1118, 873, 3111, 610, 3765, 30514, 269, 16989, 22996, 12346, 593, 2250, 2702, 543, 8404, 267, 789, 3494, 789, 666, 798, 621, 2523, 952, 789, 723, 2944, 621, 538, 519, 2250, 269, 634, 2069, 543, 519, 1995, 789, 723, 1185, 538, 519, 2250, 4217, 873, 547, 3035, 811, 538, 741, 1565, 269, 20661, 1810, 1406, 723, 547, 581, 2046, 28962, 899, 1453, 267, 789, 1174, 1946, 621, 568, 1271, 547, 3251, 5059, 543, 7722, 538, 824, 547, 3035, 741, 3853, 563, 3849, 738, 2069, 568, 513, 1259, 547, 2087, 13951, 543, 1039, 1871, 547, 835, 779, 1272, 543, 4876, 267, 519, 3483, 540, 1565, 568, 585, 606, 8612, 3483, 543, 602, 568, 1946, 621, 568, 865, 1271, 547, 1174, 922, 2640, 543, 3483, 269, 16989, 1451, 1655, 950, 789, 917, 602, 519, 1344, 543, 1439, 1267, 786, 581, 540, 2318, 1267, 269, 16989, 1565, 1184, 568, 8476, 950, 972, 568, 2407, 7589, 538, 519, 1565, 1184, 543, 519, 6267, 723, 2407, 1852, 936, 519, 1570, 269, 901, 7512, 519, 15226, 547, 25058, 782, 3007, 543, 581, 9308, 3238, 538, 1818, 2386, 602, 1565, 543, 21939, 568, 2944, 269, 8682, 3887, 1998, 6672, 568, 849, 1271, 693, 519, 1439, 540, 519, 4305, 547, 2708, 952, 621, 568, 6225, 610, 711, 269, 901, 1259, 519, 15226, 666, 1427, 15869, 3268, 1394, 547, 18985, 1919, 971, 607, 2519, 811, 610, 17265, 2326, 811, 563, 7197, 12830, 16989, 4804, 14362, 454, 15447, 956, 6240, 540, 2937, 1565, 11363, 593, 2185, 2798, 602, 1331, 519, 991, 585, 4079, 547, 581, 1134, 3238, 538, 519, 4058, 543, 6268, 540, 6044, 269, 898, 849, 3322, 519, 1995, 607, 519, 4493, 585, 1565, 267, 713, 568, 17929, 519, 1995, 602, 606, 2937, 814, 786, 3391, 538, 782, 3375, 1818, 543, 1818, 1565, 4443, 543, 3811, 269, 6271, 6240, 568, 602, 1565, 585, 4079, 568, 1966, 10704, 543, 711, 1543, 20218, 269, 634, 2063, 6240, 3081, 4079, 616, 1034, 5461, 538, 1451, 902, 602, 786, 2087, 741, 1983, 2901, 538, 2069, 610, 538, 741, 4876, 2619, 269, 630, 303, 1952, 553, 267, 476, 1001, 274, 1916, 763, 2937, 1565, 6240, 602, 594, 3494, 547, 581, 519, 1034, 1271, 568, 950, 519, 15226, 2535, 919, 4628, 543, 7184, 538, 519, 1565, 1184, 269, 589, 15226, 568, 1134, 3238, 538, 4058, 543, 10442, 519, 1543, 269, 901, 568, 519, 5748, 540, 519, 1967, 540, 1565, 269, 1403, 972, 568, 1100, 2178, 7589, 267, 621, 2306, 519, 5748, 540, 519, 1565, 4617, 7551, 4929, 13546, 11797, 269, 32027, 513, 2698, 9525, 543, 5834, 786, 2333, 7607, 543, 5512, 519, 15226, 547, 581, 3501, 538, 1018, 568, 1373, 19927, 269, 594, 4782, 713, 1565, 1184, 1317, 621, 568, 519, 4493, 602, 786, 1020, 883, 1463, 30925, 543, 1582, 3887, 1998, 6672, 1141, 519, 15226, 2708, 519, 6364, 540, 519, 1565, 563, 3849, 738, 4804, 14362, 543, 9608, 4804, 13910, 454, 2467, 616, 1114, 1565, 6163, 602, 1142, 2937, 27422, 547, 946, 267, 930, 1004, 4782, 3308, 6163, 1141, 789, 1451, 998, 2854, 5528, 269, 901, 568, 513, 1184, 602, 5512, 4079, 547, 1224, 741, 2326, 543, 1451, 676, 3168, 693, 1114, 12383, 602, 786, 3986, 741, 1565, 269, 901, 1505, 568, 1031, 676, 1082, 1004, 1317, 621, 2337, 609, 13936, 1344, 543, 1373, 2111, 547, 979, 1394, 543, 23074, 519, 1344, 998, 741, 1565, 2326, 563, 29423, 7480, 1565, 2511, 568, 1776, 835, 602, 6212, 593, 11913, 5528, 267, 713, 568, 849, 9053, 676, 930, 4079, 602, 666, 1451, 3728, 998, 6217, 269, 901, 1505, 1568, 1655, 585, 930, 4079, 602, 1810, 1406, 798, 1134, 609, 2854, 1344, 267, 789, 4043, 547, 15849, 30968, 1732, 2899, 789, 5873, 519, 1344, 269, 634, 1344, 4862, 676, 891, 1895, 540, 1004, 2611, 16856, 543, 789, 1020, 621, 883, 8273, 3785, 563, 5194, 2511, 568, 1572, 519, 20943, 20469, 1565, 2511, 269, 901, 568, 1141, 519, 6267, 4125, 741, 1560, 538, 519, 1565, 1184, 9308, 267, 713, 666, 581, 998, 1895, 2238, 269, 2368, 4079, 4782, 713, 1505, 1317, 6267, 1934, 798, 711, 7340, 1018, 568, 19927, 3362, 269, 1358, 6542, 1018, 568, 2877, 547, 1451, 543, 1034, 1004, 1265, 713, 547, 581, 1360, 4277, 1317, 789, 616, 865, 3238, 538, 2238, 602, 2164, 547, 519, 6364, 540, 519, 1565, 563, 296, 993, 7184, 3238, 538, 1250, 1565, 1317, 594, 3494, 602, 1250, 3403, 786, 3313, 519, 3977, 594, 4309, 693, 519, 1439, 540, 519, 1554, 269, 9509, 7589, 568, 1250, 3804, 538, 8236, 1250, 2069, 267, 1250, 1565, 2511, 568, 519, 17391, 1565, 1317, 519, 11913, 6044, 8952, 30366, 538, 1250, 10772, 269, 594, 1451, 1655, 950, 594 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 593, 1142, 1297, 2496, 5194, 1966, 568, 602, 513, 9936, 3989, 607, 968, 1492, 3970, 540, 1535, 1109, 553, 586, 1109, 1952, 30294, 20581, 892, 3085, 1406, 3100, 547, 2995, 596, 4376, 3730, 827, 519, 6364, 540, 513, 2582, 5884, 5066, 269, 6875, 1776, 5884, 267, 799, 568, 865, 21494, 569, 796, 29446, 602, 519, 5506, 540, 12902, 513, 1614, 568, 835, 538, 476, 1015, 2929, 269, 1403, 596, 2461, 827, 547, 5066, 519, 5884, 2899, 267, 1018, 1281, 713, 2995, 596, 286, 1411, 2901, 5066, 513, 1614, 267, 610, 596, 1810, 1406, 1107, 2436, 519, 5506, 568, 835, 538, 3670, 610, 835, 538, 476, 1015, 2929, 269, 1703, 779, 1100, 1259, 547, 581, 2386, 25656, 780, 4517, 2943, 1004, 786, 25747, 1900, 883, 513, 7077, 609, 513, 835, 2987, 268, 272, 334, 2173, 11669, 4960, 829, 8184, 540, 9991, 856, 540, 519, 6607, 543, 11318, 3025, 593, 4604, 267, 855, 789, 4465, 1406, 2097, 2282, 513, 7077, 609, 513, 835, 2987, 29350, 4960, 269, 22682, 267, 5506, 1797, 1945, 780, 14738, 1631, 267, 607, 594, 6557, 17511, 713, 267, 594, 6557, 3972, 532, 1250, 1272, 547, 519, 1360, 1970, 5506, 602, 519, 6989, 786, 12900, 896, 803, 543, 6749, 803, 883, 519, 30256, 685, 2713, 4055, 538, 513, 8405, 31771, 4990, 540, 1259, 269, 1879, 594, 979, 547, 3207, 630, 6518, 594, 1058, 723, 2944, 513, 1279, 942, 3516, 264, 594, 3580, 581, 3972, 532, 1250, 1272, 547, 519, 1360, 1970, 5506, 602, 1945, 538, 1250, 4055, 786, 14477, 6952, 3595, 1282, 519, 3781, 543, 6633, 519, 2679, 1524, 269, 5272, 1554, 267, 950, 594, 4783, 547, 1362, 267, 594, 3972, 1250, 1272, 547, 519, 1360, 1970, 5506, 602, 1022, 9920, 1472, 803, 568, 513, 12638, 748, 28400, 543, 5924, 593, 5869, 514, 780, 4517, 621, 4422, 2417, 269, 19296, 1118, 1942, 3491, 321, 1464, 4123, 26160, 782, 519, 942, 281, 952, 513, 1062, 630, 3697, 513, 7077, 267, 610, 513, 5721, 267, 610, 513, 6046, 1379, 2030, 264, 814, 513, 1761, 585, 21472, 5821, 267, 875, 1164, 798, 1109, 933, 1450, 519, 5506, 540, 971, 513, 5821, 547, 581, 286, 1215, 1454, 2724, 616, 649, 8348, 547, 6108, 547, 5397, 621, 1524, 676, 513, 3815, 540, 1109, 345, 286, 13689, 593, 519, 4876, 5079, 594, 1118, 267, 594, 1522, 723, 547, 1118, 4123, 26160, 899, 602, 693, 930, 1448, 780, 3383, 649, 723, 713, 20868, 9936, 4171, 1360, 4214, 568, 7925, 547, 6482, 5470, 267, 543, 799, 16022, 569, 4992, 899, 621, 3085, 1406, 2995, 721, 4376, 811, 982, 968, 311, 1522, 4755, 610, 621, 1522, 711, 892, 1107, 543, 2943, 649, 3972, 938, 2729, 547, 621, 543, 13793, 3902, 16776, 593, 621, 543, 3049, 621, 883, 782, 5686, 540, 7294, 6310, 3631, 607, 952, 621, 941, 607, 6209, 543, 3067, 16666, 607, 519, 1297, 540, 13212, 538, 513, 11127, 780, 3086, 594, 4076, 1044, 5143, 602, 519, 4214, 1657, 568, 1572, 968, 325, 7528, 550, 626, 5608, 543, 972, 779, 1776, 2070, 1572, 968, 29074, 14198, 892, 799, 3705, 1206, 5506, 607, 519, 22979, 609, 799, 513, 3661, 630, 324, 3052, 269, 968, 10472, 7077, 786, 711, 2887, 856, 540, 519, 6607, 543, 6146, 3025, 593, 4604, 2221, 14615, 568, 4371, 1107, 855, 593, 519, 3068, 540, 621, 267, 602, 2306, 1256, 1447, 2631, 269, 1403, 513, 3659, 540, 9553, 3217, 519, 9985, 7059, 5884, 543, 267, 676, 1954, 752, 8009, 267, 4991, 476, 6344, 271, 555, 4181, 856, 540, 476, 7785, 271, 20061, 267, 1281, 602, 1611, 519, 5884, 779, 5506, 540, 12902, 513, 1614, 2242, 547, 835, 538, 2947, 8164, 646, 779, 3168, 693, 621, 286, 1403, 513, 1821, 719, 4168, 568, 476, 1911, 260, 1978, 602, 2696, 6818, 267, 1281, 602, 6961, 519, 6228, 540, 2696, 3564, 513, 14692, 540, 8969, 286, 1215, 798, 596, 22945, 1109, 534, 7493, 5626, 1523, 899, 968, 322, 1643, 1399, 5608, 19037, 2496, 9288, 267, 594, 6557, 1175, 827, 4712, 547, 1376, 18468, 602, 5506, 568, 930, 2186, 540, 25386, 3959, 540, 519, 5884, 3294, 1107, 610, 6148, 602, 972, 2731, 568, 513, 15932, 7089, 2696, 269, 0, 1012, 476, 24241, 1240, 692, 2641, 267, 278, 1240, 630, 13512, 4868, 14633, 8536, 5722, 4627, 29933, 264, 568, 606, 1256, 2947, 1673, 580, 1080, 12432, 1297, 1739, 476, 24241, 1704, 543, 18631, 476, 24241, 866, 269, 769, 3621, 10035, 267, 621, 568, 2854, 607, 476, 273, 269, 14378, 279, 6398, 476, 10441, 269, 634, 2040, 540, 922, 9704, 568, 476, 866, 269, 898, 814, 513, 2698, 540, 476, 273, 6305, 2188, 543, 476, 275, 2318, 16975, 269, 1703, 616, 476, 1015, 267, 5952, 279, 2318, 9981, 630, 1575, 547, 476, 24241, 1240, 264, 602, 616, 5266, 6305, 547, 476, 24241, 1240, 780, 1012, 9978, 3601, 692, 1892, 1772, 11788, 286, 3143, 454, 1892, 7089, 26027, 4634, 454, 1892, 7089, 3259, 476, 276, 454, 1892, 5681, 540, 6226, 1080, 476, 866, 454, 1892, 7913, 17848, 476, 272, 692, 1012, 8745, 692, 14112, 2012, 476, 2641, 8536, 476, 278, 1240, 8938, 14633, 8536, 5722, 4627, 29933, 692, 1012, 3502, 566, 692, 26199, 10035, 476, 273, 269, 14378, 279, 6398, 476, 10441, 476, 2641, 269, 278, 1240, 6398, 476, 9818, 692, 1012, 11788, 16748, 1436, 540, 476, 24241, 1240, 692, 28269, 16748, 1436, 476, 273, 6398, 476, 10482, 6795, 692, 4467, 22683, 1297, 454, 18850, 3307, 11790, 11192, 11790, 7101, 673, 28911, 3799, 264, 476, 273, 11192, 1297, 540, 3982, 6305, 2188, 3852, 358, 3799, 264, 476, 273, 11192, 1297, 540, 6305, 2188, 2234, 3799, 264, 476, 24241, 1240, 8605, 540, 519, 3982, 6305, 2338, 18494, 3799, 264, 476, 272, 16849, 519, 26027, 540, 3852, 358, 3799, 1070, 971, 602, 18494, 3799, 264, 815, 11196, 272, 264, 394, 358, 3799, 264, 13179, 3799, 264, 476, 272, 16849, 281, 476, 272, 267, 952, 562, 814, 606, 1256, 1297, 540, 6305, 2188, 630, 663, 568, 4009, 1863, 264, 6567, 272, 267, 952, 562, 814, 606, 9642, 1297, 540, 6305, 2188, 630, 663, 568, 4009, 1863, 264, 476, 271, 267, 952, 562, 814, 513, 16302, 6305, 3815, 3852, 505, 3799, 264, 476, 271, 16849, 2845, 9638, 264, 952, 562, 568, 513, 1379, 533, 330, 540, 1022, 6305, 533, 630, 1721, 1022, 737, 13843, 476, 272, 1070, 3116, 7024, 476, 271, 692, 763, 6305, 26458, 540, 476, 2641, 267, 278, 1240, 568, 476, 273, 6398, 476, 10482, 6795, 269, 4595, 621, 814, 513, 2698, 540, 476, 273, 6305, 2188, 267, 476, 2641, 267, 278, 1240, 568, 513, 12432, 1297, 780, 1012, 6555, 30583, 540, 476, 24241, 1240, 692, 272, 267, 476, 273, 267, 476, 10482, 6795, 267, 476, 24241, 1240, 692, 275, 16975, 692, 4634, 16975, 476, 273, 476, 273, 476, 272, 476, 272, 454, 13707, 6555, 30583, 5681, 540, 6555, 30583, 1325, 1172, 582, 5681, 26018, 3799, 264, 476, 275, 11192, 1297, 540, 519, 2318, 16975, 540, 562, 21566, 3799, 264, 476, 23283, 3199, 5681, 540, 782, 519, 2318, 16975, 540, 562, 521, 3799, 264, 476, 10482, 7830, 5681, 540, 519, 1697, 2318, 16975, 540, 562, 589, 3799, 264, 476, 279, 1691, 276, 16849, 519, 2040, 540, 16975, 630, 17385, 3799, 4297, 5258, 676, 519, 2698, 1297, 540, 16975, 630, 16483, 3799, 4297, 717, 3799, 264, 476, 15704, 269, 4391, 16849, 519, 32671, 3597, 540, 519, 1587, 540, 562, 16975, 670, 3799, 264, 476, 273, 269, 26116, 5655, 16849, 519, 2698, 1297, 540, 16975, 630, 16483, 3799, 4297, 5258, 676, 519, 2040, 540, 519, 23483, 540, 1142, 16975, 692, 763, 1297, 476, 2641, 267, 278, 1240, 666, 581, 5258, 676, 476, 275, 2318, 16975, 630, 719, 540, 799, 476, 273, 616, 1256, 267, 543, 476, 273, 616, 9642, 1040, 634, 2040, 540, 891, 16975, 630, 12248, 532, 476, 2641, 267, 278, 1240, 264, 568, 476, 3953, 267, 276, 3199, 267, 519, 3328, 568, 476, 279, 267, 13970, 780, 1012, 4033, 25226, 12793, 630, 333, 815, 476, 24241, 1240, 2020, 272, 26420, 3799, 264, 562, 454, 292, 17526, 570, 582, 1304, 25844, 19376, 700, 10033, 11788, 13100, 26420, 3799, 264, 476, 10482, 6812, 11192, 1297, 540, 2318, 9981, 711, 3152, 982, 562, 602, 616, 2941, 31870, 547, 562, 18494, 3799, 264, 476, 10482, 6812, 9540, 652, 2318, 1297, 971, 602, 513, 16575, 3799, 264, 9881, 350, 476, 272, 630, 7116, 562, 264, 585, 782, 513, 2941, 31870, 547, 562, 12631, 3799, 264, 9881, 486, 476, 25838, 279, 11192, 1297, 540, 22136, 1447, 982, 610, 3160, 547, 562, 678, 273, 3799, 264, 476, 271, 634, 1297, 540, 2081, 562, 666, 581, 6719, 607, 519, 2040, 540, 476, 273, 10945, 692, 2467, 616, 476, 1015, 267, 5952, 279, 2318, 9981, 630, 1652, 982, 476, 2641, 267, 278, 1240, 264, 602, 616, 2941, 31870, 609, 476, 2641, 267, 278, 1240, 269, 1656, 972, 616, 5111, 476, 273, 267, 275, 4343, 6305, 2338, 1447, 982, 610, 3160, 547, 476, 2641, 267, 278, 1240, 780, 1012, 6555, 529, 2225, 540, 476, 24241, 1240, 692, 544, 562, 1110, 544, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 278, 476, 279, 476, 280, 476, 271, 476, 272, 476, 273, 476, 274, 476, 275, 476, 275, 476, 277, 476, 272, 692, 763, 1297, 476, 2641, 267, 278, 1240, 568, 16883, 676, 476, 273, 780, 1012, 19032, 540, 476, 24241, 1240, 692, 1892, 25226, 454, 1892, 12054, 760, 31870, 454, 1892, 4347, 17087, 692, 2162, 18124, 1043, 3842, 1808, 18304, 692, 1892, 2717, 924, 454, 1892, 6348, 268, 1506, 13607, 26664, 692, 1892, 12384, 5131, 692, 1012, 12476, 7503, 630, 24241, 1240, 2020, 26015, 3590, 10025, 454, 273, 23030, 476, 6200, 18089, 18733, 18089, 8099, 454, 274, 570, 1716, 776, 476, 1911, 21854, 18089, 272, 454, 275, 2372, 15715, 776, 476, 9340, 31648, 1321, 454, 276, 2372, 2435, 476, 14625, 18357, 274, 454, 277, 7354, 776, 476, 28192, 27183, 454, 279, 4239, 531, 476, 276, 2537, 2918, 454, 1015, 27252, 476, 24241, 1240, 454, 1321, 13660, 1712, 31565, 476, 11793, 280, 320, 454, 736, 966, 580, 525, 2711, 476, 273, 324, 276, 328, 454, 3607, 12476, 3607, 1178, 692, 1012, 9978, 9273, 630, 333, 815, 476, 24241, 1240, 2020, 2162, 18527, 692, 333, 9943, 328, 454, 562, 9943, 273, 476, 275, 4097, 3607, 476, 4792, 272, 7918, 476, 279, 6924, 7761, 476, 10482, 276, 3445, 692, 2162, 10406, 692, 14269, 454, 562, 22397, 482, 273, 476, 10482, 6795, 476, 278, 2537, 280, 269, 3451, 476, 276, 5655, 280, 269, 276, 476, 275, 4097, 274, 269, 277, 692, 2162, 5890, 9426, 2747, 692, 14269, 454, 562, 273, 476, 5325, 272, 6858, 272, 276, 2190, 476, 9083, 275, 4391, 277, 2641, 6812, 273, 3953, 476, 19442, 5325, 275, 271, 2918, 4649, 273, 4366, 273, 6872, 277, 476, 4366, 274, 15433, 271, 3445, 279, 5780, 6924, 272, 4792, 279, 4649, 277, 279, 692, 2162, 715, 628, 17848, 692, 328, 18414, 333, 454, 476, 273, 18414, 333, 476, 15704, 269, 4391, 476, 2767, 269, 12010, 273, 476, 1321, 269, 16928, 277, 476, 278, 269, 3607, 279, 2190, 692, 1012, 476, 24241, 1240, 607, 12166, 5546, 692, 2162, 17781, 692, 18924, 2678, 476, 275, 4097, 3607, 476, 15793, 3393, 279, 476, 272, 269, 4366, 272, 279, 324, 266, 6021, 692, 2162, 1975, 1877, 692, 11730, 476, 275, 269, 23310, 280, 324, 266, 1724, 476, 276, 269, 280, 2767, 273, 324, 266, 6021, 476, 15793, 3393, 279, 692, 2162, 12384, 692, 21920, 815, 562, 454, 32309, 476, 279, 6924, 7761, 476, 275, 269, 278, 1626, 7761, 324, 266, 5400, 476, 28906, 1724, 269, 280, 692, 2162, 28116, 692, 21920, 815, 562, 454, 17183, 1858, 476, 273, 269, 279, 1789, 6734, 324, 266, 6021, 476, 272, 269, 271, 2190, 4343, 324, 266, 1724, 476, 4391, 277, 1626, 269, 278, 692, 2162, 4982, 10561, 21121, 692, 21920, 815, 562, 454, 32309, 476, 4792, 272, 7918, 476, 273, 269, 271, 5655, 275, 324, 266, 5400, 476, 6642, 5400, 269, 274, 692, 2162, 10222, 9771, 30958, 692, 21920, 815, 562, 454, 17183, 1858, 476, 279, 269, 15433, 6795, 324, 266, 5400, 476, 272, 269, 21709, 2190, 324, 266, 1321, 476, 10082, 3953, 269, 278, 692, 1012, 15303, 4919, 25300, 12793, 692, 30113, 276, 476, 271, 323, 6434, 278, 8287, 325, 7277, 278, 325, 277, 576, 325, 322, 4281, 322, 4792, 272, 324, 764, 5655, 322, 4206, 476, 4817, 321, 279, 4817, 10844, 629, 742, 2568, 320, 11011, 321, 6872, 320, 1724, 10623, 28883, 3607, 6277, 25313, 24879, 274, 325, 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 ]
[ 630, 10135, 300, 264, 1949, 616, 1079, 1898, 3334, 540, 1022, 3811, 3059, 6725, 4640, 269, 1635, 10128, 891, 2645, 267, 4213, 666, 20928, 741, 2792, 3157, 267, 2087, 1291, 5108, 267, 543, 2333, 6455, 24740, 269, 901, 3184, 786, 2263, 875, 4757, 7218, 899, 9786, 31326, 543, 717, 21166, 666, 581, 7471, 609, 10911, 300, 1949, 971, 607, 19833, 4403, 543, 16735, 8967, 582, 547, 11126, 6725, 3646, 269, 1284, 786, 849, 1865, 1585, 1514, 2923, 2645, 602, 666, 9148, 891, 7471, 1949, 547, 3986, 2949, 2228, 4527, 780, 4089, 476, 272, 281, 4197, 19478, 1849, 1801, 543, 10911, 16039, 454, 6524, 18167, 883, 5610, 2553, 267, 621, 781, 2629, 547, 1174, 1018, 4757, 7218, 543, 10911, 16039, 616, 543, 875, 789, 1599, 10446, 780, 272, 269, 272, 19478, 1849, 1801, 454, 2304, 4757, 7817, 568, 3301, 1031, 547, 4383, 15737, 4607, 543, 2366, 676, 3755, 269, 15019, 4757, 7218, 1331, 9786, 31326, 267, 11197, 25357, 267, 543, 717, 21166, 269, 1452, 3156, 1450, 3755, 547, 1569, 2789, 6589, 689, 513, 2582, 3760, 267, 10891, 6835, 998, 12086, 543, 10297, 267, 543, 17492, 1007, 15737, 2347, 609, 11249, 3681, 543, 27589, 780, 272, 269, 273, 21436, 20556, 5004, 630, 10135, 300, 264, 7010, 454, 288, 10911, 300, 1062, 568, 513, 1907, 2966, 547, 948, 3906, 4383, 4205, 609, 5561, 543, 1761, 5012, 2429, 519, 3003, 6455, 1184, 269, 6206, 2934, 1419, 1331, 3346, 12240, 267, 6455, 18180, 9477, 267, 12747, 32262, 267, 8989, 21686, 15236, 267, 543, 12642, 7207, 269, 5871, 10911, 300, 5867, 1331, 19833, 4403, 267, 16735, 8967, 582, 267, 543, 2098, 2129, 334, 10911, 300, 780, 4089, 476, 273, 281, 11588, 540, 23889, 19478, 1849, 1801, 609, 10911, 300, 7010, 454, 18204, 7992, 4757, 7218, 609, 10911, 300, 1949, 3091, 1896, 2640, 267, 1519, 1384, 273, 269, 272, 6239, 1242, 9442, 3778, 454, 3528, 5348, 1424, 4757, 10618, 1369, 513, 10911, 300, 3760, 267, 4213, 666, 2226, 513, 3844, 23789, 540, 782, 6075, 4205, 269, 901, 5849, 602, 6455, 6887, 723, 1569, 547, 4143, 19359, 950, 2502, 609, 16548, 267, 3056, 547, 811, 5483, 7391, 543, 8476, 3347, 780, 273, 269, 273, 20865, 8048, 19087, 543, 19120, 2305, 454, 8505, 558, 5597, 19883, 15737, 1996, 7222, 17066, 2636, 2344, 619, 547, 2697, 3270, 538, 6278, 543, 22942, 11727, 5012, 1759, 593, 5872, 4908, 610, 1808, 17161, 269, 3958, 267, 6220, 4757, 17074, 3358, 547, 1585, 5933, 540, 519, 23138, 781, 3460, 666, 948, 20741, 5012, 811, 3927, 780, 273, 269, 274, 20837, 20040, 4518, 6503, 14825, 725, 454, 18204, 7992, 4757, 7218, 609, 10911, 16039, 6087, 12957, 540, 6296, 4247, 971, 607, 1239, 7127, 267, 1246, 5346, 23106, 267, 543, 1867, 5108, 269, 1306, 513, 1267, 267, 5520, 666, 1445, 593, 2362, 17032, 2238, 1247, 4227, 8261, 6959, 2404, 609, 8261, 3403, 2409, 780, 4089, 476, 274, 281, 7351, 12367, 543, 7464, 21509, 6201, 454, 6097, 547, 2487, 1382, 267, 3549, 9001, 7471, 4757, 543, 10911, 300, 1949, 1995, 513, 476, 3066, 260, 2333, 538, 6455, 8907, 3379, 547, 1346, 13461, 9003, 593, 30890, 2645, 630, 13126, 281, 589, 828, 1372, 523, 6828, 1040, 5015, 267, 10531, 15737, 5352, 3670, 2053, 811, 8907, 829, 18579, 982, 1875, 1790, 5966, 1242, 3283, 630, 13126, 281, 667, 7246, 6184, 697, 1070, 10223, 519, 2956, 540, 16107, 10911, 300, 1239, 1369, 4757, 2994, 780, 18600, 3734, 1383, 281, 589, 4571, 13355, 552, 4467, 12692, 2754, 8045, 606, 7471, 4757, 4211, 305, 300, 3070, 267, 4611, 538, 4824, 1291, 28730, 543, 10156, 6455, 9979, 1813, 547, 1732, 15287, 883, 19175, 2623, 269, 634, 2754, 4080, 513, 476, 5325, 260, 2333, 538, 5993, 19614, 11911, 5097, 547, 713, 7580, 6521, 780, 4089, 476, 275, 281, 5440, 4317, 9012, 13088, 585, 31514, 6732, 3465, 775, 454, 4407, 711, 2047, 1644, 547, 4757, 7817, 4211, 305, 300, 5610, 267, 8939, 3617, 1514, 2923, 2645, 568, 4105, 585, 21924, 2228, 3914, 543, 29103, 1359, 6216, 4656, 269, 2368, 8037, 19528, 1331, 1384, 275, 269, 272, 5616, 12367, 454, 1607, 1863, 1907, 2488, 4030, 883, 3406, 4320, 3466, 585, 1808, 17161, 543, 3584, 267, 7175, 4213, 547, 1711, 12905, 543, 4143, 1543, 602, 24889, 609, 3077, 9458, 780, 275, 269, 273, 5616, 24630, 454, 3528, 7421, 3896, 6808, 2959, 267, 3593, 2623, 267, 543, 7503, 3928, 267, 5616, 24630, 20674, 538, 7893, 5859, 2773, 543, 17975, 2104, 7341, 780, 275, 269, 274, 681, 2526, 21842, 454, 305, 2526, 21842, 2337, 3950, 15712, 262, 1514, 2923, 2534, 267, 3246, 14541, 12201, 585, 6476, 543, 6667, 950, 3384, 2189, 1543, 2994, 780, 275, 269, 275, 1975, 709, 339, 4317, 454, 2026, 606, 782, 2987, 14633, 1514, 2923, 2359, 3760, 267, 1975, 709, 339, 4317, 16881, 2022, 20319, 267, 5304, 6278, 267, 543, 12642, 2066, 2789, 9055, 267, 1818, 621, 4443, 547, 2226, 5812, 20261, 543, 6895, 21614, 296, 780, 6962, 912, 18204, 7992, 4757, 7218, 609, 10911, 300, 1949, 3091, 3875, 5383, 585, 4213, 5275, 547, 11126, 741, 3059, 6725, 3646, 269, 30855, 3617, 1514, 2923, 2645, 7258, 891, 7471, 3435, 666, 2417, 32433, 2949, 2228, 4527, 543, 6536, 6793, 4296, 609, 1761, 5012, 543, 4540, 5561, 7567, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 12892, 2923, 2645, 616, 513, 3119, 2460, 540, 2413, 1543, 543, 6725, 11044, 585, 1082, 4213, 267, 855, 799, 616, 22992, 3407, 585, 707, 1870, 888, 11386, 24630, 568, 519, 1034, 1271, 585, 4128, 649, 3580, 1205, 883, 2663, 267, 855, 1514, 2923, 2645, 7500, 538, 1114, 6688, 543, 666, 798, 1082, 1919, 563, 1103, 713, 3391, 267, 649, 3580, 1491, 513, 2656, 1413, 693, 930, 2596, 1344, 827, 1210, 1514, 2923, 2645, 267, 1287, 2689, 519, 1655, 3681, 2066, 2185, 1292, 6688, 563, 268, 7454, 4317, 9012, 13088, 585, 476, 1708, 273, 630, 29619, 994, 268, 1323, 11137, 540, 4317, 9012, 13088, 454, 268, 7454, 4317, 9012, 13088, 585, 476, 1708, 273, 454, 268, 12474, 4354, 566, 13088, 454, 268, 12474, 20520, 13088, 454, 268, 24630, 543, 31524, 13088, 454, 268, 5004, 1299, 28290, 13088, 454, 268, 17972, 547, 6733, 585, 769, 4317, 9012, 13088, 454, 268, 654, 571, 6137, 5455, 454, 16032, 4317, 9012, 13088, 585, 476, 1708, 273, 630, 29619, 994, 2171, 4076, 3769, 606, 7650, 540, 938, 1283, 26717, 2630, 269, 1280, 2143, 1344, 593, 1142, 4584, 267, 20801, 1524, 563, 268, 5616, 12367, 454, 268, 5616, 24630, 454, 268, 681, 2526, 21842, 454, 268, 1975, 709, 339, 4317, 454, 268, 2098, 2129, 334, 4317, 454, 2304, 11137, 540, 4317, 2405, 328, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 19766, 21585, 1315, 6355, 1299, 8605, 2032, 12229, 1315, 19478, 1849, 1801, 1315, 23889, 19478, 1849, 1801, 609, 10911, 300, 7010, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 7705, 281, 19850, 7585, 256, 5620, 596, 2479, 4862, 827, 519, 2816, 540, 513, 17199, 2496, 7692, 281, 23010, 267, 594, 1589, 865, 269, 1358, 2811, 519, 3283, 945, 2149, 938, 2197, 267, 1318, 2496, 8334, 281, 22549, 256, 1656, 798, 596, 917, 789, 3006, 960, 5702, 609, 824, 1271, 1004, 1932, 286, 6145, 17009, 1846, 610, 5605, 817, 611, 832, 780, 7692, 281, 26419, 286, 4208, 1131, 7980, 991, 948, 689, 1346, 11570, 2496, 8334, 281, 4270, 267, 4952, 596, 2811, 4543, 2973, 909, 707, 4055, 855, 972, 616, 930, 2462, 9162, 17527, 707, 1259, 269, 1411, 1522, 2307, 707, 2385, 585, 948, 547, 1847, 873, 856, 540, 519, 1259, 267, 1318, 286, 898, 781, 2186, 540, 2147, 609, 7980, 543, 17009, 1846, 269, 22307, 4536, 5150, 519, 1858, 1247, 17009, 1846, 6023, 8273, 2042, 998, 12909, 543, 11650, 780, 7692, 281, 7937, 267, 594, 1205, 621, 256, 1924, 2348, 513, 5363, 17009, 520, 568, 899, 2348, 513, 2178, 3659, 945, 666, 948, 4194, 27162, 615, 2152, 780, 8334, 281, 8786, 267, 4010, 256, 2334, 781, 1946, 519, 17199, 538, 519, 1383, 596, 4862, 4505, 8604, 6126, 547, 960, 609, 741, 1007, 17009, 520, 269, 1261, 1256, 1572, 1864, 513, 3579, 28215, 1107, 834, 763, 10089, 671, 9926, 518, 10590, 2052, 596, 7058, 1946, 2496, 7692, 281, 670, 7825, 1862, 6148, 1317, 646, 2337, 2312, 2476, 9465, 899, 513, 4439, 671, 9926, 518, 1579, 1513, 13897, 2496, 8334, 281, 22549, 256, 3807, 899, 875, 513, 4439, 671, 9926, 518, 24864, 11735, 5230, 8631, 267, 713, 17009, 520, 1568, 2182, 547, 4894, 2352, 2591, 269, 3767, 1577, 803, 2307, 596, 1945, 3116, 1765, 17647, 596, 2479, 5185, 513, 1966, 602, 5433, 2731, 645, 5456, 286, 9320, 4687, 513, 11442, 610, 14045, 4171, 2490, 621, 568, 547, 4584, 519, 3014, 2496, 7692, 281, 17610, 267, 3006, 649, 8044, 936, 1507, 8631, 899, 602, 780, 8334, 281, 9406, 267, 1134, 950, 6738, 5725, 3068, 2462, 2042, 267, 789, 1419, 1413, 585, 2081, 547, 1118, 5100, 5079, 269, 6884, 602, 1797, 6998, 1866, 585, 948, 610, 6947, 547, 5796, 689, 4966, 269, 1879, 2324, 1927, 267, 3025, 814, 513, 1909, 547, 1404, 267, 1175, 899, 7980, 543, 17009, 1846, 780, 7692, 281, 15346, 267, 594, 2760, 6743, 693, 621, 602, 1259, 1354, 269, 1284, 1451, 1945, 1007, 1169, 1554, 267, 26001, 2496, 8334, 281, 25999, 256, 2913, 781, 1832, 1565, 1927, 543, 3314, 547, 946, 938, 1455, 2631, 8164, 649, 2097, 2066, 4101, 3871, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 23437, 9121, 476, 279, 5988, 476, 1220, 280, 267, 476, 3393, 628, 22540, 8232, 10985, 454, 11039, 267, 9684, 596, 1360, 1454, 28579, 267, 543, 621, 779, 1390, 547, 581, 609, 596, 782, 269, 1656, 2965, 267, 952, 594, 1223, 1376, 1055, 676, 1175, 3365, 7596, 532, 267, 607, 513, 17199, 267, 1018, 594, 1175, 4862, 519, 10579, 540, 4347, 775, 540, 519, 5177, 2995, 721, 269, 594, 2219, 602, 729, 513, 17512, 881, 5048, 563, 2005, 779, 1390, 547, 581, 593, 519, 3942, 609, 1250, 1007, 20320, 7649, 267, 19264, 26513, 9400, 4591, 15842, 5803, 269, 1411, 917, 267, 621, 779, 1169, 2155, 6387, 779, 5326, 547, 723, 607, 1010, 5605, 817, 611, 3645, 13617, 2006, 2576, 20859, 4766, 609, 12183, 12849, 899, 968, 763, 10089, 671, 9926, 518, 1848, 769, 782, 3978, 1145, 267, 594, 1616, 547, 15597, 2892, 1393, 713, 22064, 17009, 520, 585, 2921, 593, 1010, 1007, 2990, 267, 606, 13393, 602, 27711, 875, 1713, 519, 1445, 568, 538, 519, 2136, 2276, 593, 15787, 543, 9031, 543, 519, 3162, 543, 6239, 7489, 4525, 811, 17618, 563, 5353, 4038, 776, 27176, 267, 519, 16470, 27176, 5063, 4330, 15787, 547, 519, 772, 2529, 269, 6837, 607, 30286, 968, 712, 6574, 4108, 4161, 1318, 1631, 1848, 1306, 646, 7074, 267, 938, 4909, 6662, 538, 15787, 568, 547, 2327, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 19615, 1315, 13639, 1315, 4937, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269, 0, 6092, 5149, 281, 13262, 22159, 10613, 692, 8702, 267, 1647, 1153, 1053, 256, 4653, 649, 2811, 2469, 547, 1451, 827, 2566, 5786, 2409, 602, 666, 948, 721, 1745, 18668, 267, 8902, 267, 543, 1732, 9280, 547, 6023, 1272, 781, 2591, 269, 1284, 782, 1205, 14129, 856, 3006, 267, 1318, 286, 6787, 621, 781, 1813, 547, 6780, 267, 4255, 267, 3659, 12416, 267, 610, 824, 1919 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 268, 1174, 519, 9238, 540, 519, 1184, 540, 1374, 1646, 563, 1432, 1377, 568, 519, 1576, 543, 798, 594, 991, 1022, 1880, 1983, 888, 1607, 568, 513, 14987, 685, 1576, 563, 2791, 1058, 2972, 3384, 707, 5373, 1983, 543, 581, 2111, 547, 946, 2338, 543, 581, 2111, 547, 798, 2241, 7403, 543, 9273, 269, 1411, 1058, 581, 2111, 1224, 513, 4341, 547, 14377, 7403, 883, 5373, 563, 1692, 786, 594, 581, 6026, 267, 543, 786, 972, 581, 1022, 960, 3544, 519, 1362, 888, 763, 1576, 568, 513, 4052, 3946, 6823, 1576, 1210, 13016, 15872, 543, 4052, 5751, 547, 1020, 707, 1983, 543, 2093, 269, 1411, 786, 960, 593, 4207, 9703, 5624, 267, 519, 1544, 585, 799, 786, 581, 3177, 563, 2791, 786, 723, 519, 4316, 547, 2744, 689, 11461, 9263, 5955, 593, 2123, 1374, 3785, 543, 5751, 563, 763, 1576, 786, 1331, 693, 2547, 835, 267, 7654, 1079, 1055, 3135, 11564, 269, 4841, 991, 547, 6718, 741, 1378, 17914, 585, 1857, 3560, 563, 2791, 786, 581, 6026, 1210, 513, 2039, 540, 2553, 1519, 11925, 267, 2110, 15872, 267, 23405, 267, 4052, 5751, 267, 18862, 267, 1895, 543, 1367, 6351, 543, 1688, 268, 8083, 269, 7490, 4063, 519, 4975, 22175, 3096, 11197, 5839, 5904, 538, 519, 5071, 801, 3930, 563, 6701, 972, 1022, 824, 3790, 286, 1772, 972, 4376, 594, 991, 547, 3142, 888, 2171, 4363, 602, 596, 3142, 707, 1378, 17250, 1504, 610, 17250, 25247, 267, 589, 275, 269, 1411, 949, 6999, 547, 6718, 707, 1378, 5373, 2326, 1282, 519, 1576, 585, 946, 3544, 1362, 269, 2659, 20131, 786, 581, 6126, 547, 2709, 596, 5796, 563, 2005, 1131, 581, 3730, 547, 3142, 513, 3965, 6529, 630, 528, 15409, 2182, 5397, 1107, 5225, 4063, 7193, 30149, 2182, 11479, 666, 581, 1224, 676, 11197, 5672, 5904, 267, 855, 711, 2854, 547, 28593, 2691, 594, 4312, 8737, 267, 1018, 1576, 666, 594, 798, 1985, 888, 763, 4998, 11144, 1131, 581, 966, 293, 4335, 4975, 22175, 9703, 1374, 1576, 269, 1411, 666, 849, 5360, 2939, 707, 1983, 609, 28220, 10000, 1160, 6030, 966, 293, 4375, 273, 28220, 10000, 1160, 585, 14987, 610, 966, 294, 276, 1691, 28220, 1575, 1160, 14021, 585, 14987, 269, 1411, 666, 849, 2417, 1020, 707, 1983, 609, 513, 2039, 540, 6030, 538, 5071, 543, 14745, 543, 538, 23489, 26598, 269, 0, 277, 269, 21079, 267, 1234, 2224, 267, 1234, 12860, 1862, 543, 1763, 749, 2336, 2171, 4312, 782, 1044, 6026, 602, 649, 1058, 581, 4227, 938, 3653, 267, 556, 6748, 1018, 649, 666, 267, 543, 9657, 4376, 602, 666, 581, 13381, 269, 634, 1482, 666, 581, 1767, 827, 938, 936, 12741, 532, 18930, 687, 585, 2413, 2029, 563, 28074, 540, 519, 11183, 602, 2501, 609, 1585, 11418, 666, 581, 32419, 538, 930, 6752, 269, 2422, 602, 4216, 547, 4558, 707, 2025, 4967, 689, 2852, 267, 585, 1383, 269, 2334, 1482, 21312, 4216, 666, 581, 2322, 883, 513, 4544, 4216, 585, 9657, 267, 855, 519, 9115, 540, 519, 4216, 666, 581, 13381, 1932, 563, 6624, 22875, 723, 3292, 538, 1747, 547, 2569, 552, 2914, 4292, 267, 899, 23987, 24195, 543, 1591, 11436, 269, 1452, 3292, 786, 1491, 707, 2025, 552, 18191, 6064, 543, 2736, 621, 1524, 883, 922, 3334, 269, 17968, 267, 519, 1985, 942, 596, 1205, 513, 1007, 5985, 6049, 267, 6236, 9513, 707, 2025, 835, 547, 2576, 3116, 269, 1358, 1205, 513, 834, 2908, 257, 6049, 543, 4986, 7475, 909, 538, 519, 25087, 563, 289, 21392, 1869, 267, 596, 666, 24946, 707, 2025, 8631, 547, 17493, 269, 5753, 781, 1347, 885, 616, 2141, 538, 991, 540, 1007, 5904, 543, 602, 2186, 540, 3364, 267, 1256, 952, 596, 1589, 602, 891, 5904, 616, 22573, 563, 278, 269, 634, 2961, 623, 10062, 676, 3281, 5962, 5794, 454, 289, 1675, 19342, 286, 28628, 2029, 286, 623, 29888, 2987, 3167, 338, 286, 8409, 616, 865, 2063, 1032, 256, 570, 1092, 7763, 832, 540, 3127, 543, 11022, 296, 540, 5333, 723, 1044, 2182, 693, 960, 593, 513, 11207, 1007, 2186, 540, 1286, 585, 513, 1297, 540, 1296, 543, 621, 1223, 581, 519, 1034, 13476, 7888, 6174, 547, 4266, 563, 15447, 333, 607, 519, 2290, 290, 2969, 267, 713, 1286, 8255, 593, 19316, 2011, 269, 898, 3085, 1405, 991, 1022, 2186, 540, 2027, 3154, 267, 1317, 2834, 2025, 19316, 2011, 568, 2614, 547, 7903, 1346, 16537, 976, 2059, 267, 4412, 2454, 519, 17426, 1286, 693, 11250, 607, 1164, 607, 476, 8099, 14790, 10774, 269, 634, 19316, 2011, 7382, 666, 581, 1201, 2683, 1210, 513, 3044, 19316, 2011, 11718, 269, 589, 2407, 7382, 568, 2614, 547, 6494, 519, 2290, 290, 2969, 2059, 585, 909, 547, 476, 1220, 5998, 693, 513, 942, 563, 2690, 811, 1344, 593, 519, 2290, 290, 2969, 543, 824, 19316, 2011, 6517, 899, 621, 267, 2638, 856, 519, 7127, 593, 9504, 563, 3725, 935, 4290, 532, 3776, 2983, 2131, 344, 543, 5682, 9314, 338, 454, 294, 611, 1326, 575, 2465, 802, 2972, 3478, 1007, 19269, 269, 8950, 575, 2465, 802, 2972, 18175, 15665, 741, 5904, 269, 898, 781, 17149, 269, 2311, 519, 1482, 942, 267, 938, 6639, 4690, 1590, 711, 26418, 1932, 1454, 593, 519, 1604, 267, 1317, 649, 2731, 1152, 723, 835, 17866, 4541, 543, 649, 991, 547, 1491, 1732, 1416, 540, 621, 269, 634, 5722, 4388, 543, 2994, 4330, 1657, 616, 1434, 3268, 538, 519, 1318, 4287, 267, 855, 596, 1058, 1869, 1491, 513, 1906, 8090, 540, 707, 1272, 547, 1589, 827, 1018, 3116, 596, 666, 798, 563, 310, 1779, 547, 519, 2022, 5604, 3079, 540, 6117, 972, 269, 22982, 513, 23431, 547, 974, 9126, 693, 519, 17365, 4558, 3079, 540, 1346, 25551, 5068, 11435, 269, 12305, 3608, 26892, 538, 707, 1753, 269, 1684, 707, 851, 269, 2142, 513, 3039, 2520, 2131, 563, 28097, 901, 9137, 538, 519, 8892, 19972, 338, 7991, 1280, 4548, 454, 18600, 6874, 830, 12313, 543, 14351, 6744, 910, 4855, 2859, 9891, 623, 10062, 717, 611, 12033, 3371 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2039, 26372, 888, 305, 1052, 26372, 338, 616, 606, 1898, 851, 540, 1169, 10051, 269, 1358, 4894, 30851, 267, 8673, 267, 543, 824, 5739, 5536, 689, 519, 2011, 596, 11375, 1446, 1247, 596, 3434, 269, 634, 3532, 11655, 7485, 519, 2011, 1472, 519, 23041, 9008, 998, 12086, 543, 883, 513, 13811, 585, 9688, 269, 769, 1840, 267, 513, 26372, 666, 2569, 519, 4960, 540, 513, 31294, 3595, 538, 707, 10051, 1317, 2039, 26372, 338, 2973, 519, 2011, 540, 3282, 8673, 543, 31294, 1247, 596, 3434, 269, 901, 7494, 6971, 519, 8458, 540, 3595, 563, 2005, 568, 1271, 547, 4063, 602, 1247, 513, 2039, 26372, 666, 948, 2569, 519, 10171, 540, 31294, 11642, 267, 513, 3595, 666, 1869, 4755, 269, 1656, 31294, 11642, 666, 6633, 1524, 707, 10051, 543, 1753, 267, 865, 5225, 581, 6297, 543, 2628, 3007, 538, 519, 10051, 563, 1432, 568, 513, 31294, 3595, 888, 288, 31294, 3595, 4386, 950, 1426, 610, 5986, 3282, 29598, 3595, 269, 634, 26428, 949, 581, 7920, 543, 6385, 771, 704, 572, 267, 2870, 513, 13818, 1604, 538, 799, 2043, 949, 1831, 16290, 563, 1432, 3123, 31294, 11642, 888, 290, 8504, 3282, 602, 814, 1831, 1932, 3905, 5956, 547, 8673, 543, 5337, 924, 267, 4929, 31294, 11642, 269, 17164, 762, 11041, 5337, 924, 693, 5111, 476, 14596, 674, 7967, 327, 924, 269, 10960, 9600, 5337, 924, 693, 5111, 476, 23841, 18278, 269, 5637, 540, 873, 3914, 891, 5210, 5266, 3533, 269, 4475, 267, 31294, 11642, 616, 1360, 2653, 547, 5337, 924, 543, 666, 3533, 3262, 563, 7212, 6297, 5986, 568, 519, 1655, 1259, 547, 2061, 31294, 11642, 267, 10913, 616, 3006, 796, 28300, 762, 269, 4033, 2009, 3123, 540, 513, 10051, 31294, 3595, 1331, 912, 268, 589, 23041, 9008, 646, 1846, 1932, 3533, 267, 4929, 519, 3282, 547, 1831, 23986, 730, 563, 268, 774, 8089, 13792, 1426, 5196, 3905, 31294, 786, 2014, 621, 547, 8673, 563, 268, 1411, 616, 8600, 513, 9761, 8670, 602, 5671, 1186, 883, 519, 14089, 543, 5337, 2572, 519, 26428, 563, 268, 2659, 23041, 610, 14089, 814, 1044, 2451, 796, 3430, 2105, 585, 513, 9645, 942, 267, 610, 1256, 513, 1906, 7643, 563, 22142, 13248, 1216, 593, 513, 31294, 3595, 269, 1411, 786, 1205, 811, 8673, 267, 543, 519, 3595, 786, 3262, 269, 5502, 267, 946, 513, 3595, 24773, 8718, 269, 1411, 666, 849, 946, 11256, 14614, 610, 6070, 547, 1118, 1507, 11642, 269, 15147, 519, 1858, 609, 513, 19984, 563, 19350, 616, 930, 3595, 24773, 29913, 602, 616, 5827, 540, 8380, 856, 31294, 11642, 563, 4692, 513, 2039, 26372, 2061, 513, 31294, 3595, 888, 2252, 5779, 694, 2130, 267, 3443, 1922, 11538, 267, 543, 8185, 838, 5367, 3536, 616, 28125, 538, 707, 10051, 267, 513, 2039, 26372, 786, 7494, 4217, 596, 269, 1717, 267, 8673, 786, 581, 3812, 952, 596, 946, 513, 2603, 540, 3282, 610, 3434, 609, 1164, 3002, 563, 4407, 596, 3434, 267, 707, 10051, 568, 7213, 6819, 513, 4494, 540, 31294, 269, 6333, 9252, 281, 950, 621, 3579, 338, 267, 621, 21810, 1394, 883, 519, 1216, 269, 26243, 267, 519, 1482, 3364, 4386, 609, 31294, 269, 1411, 666, 1294, 713, 538, 602, 533, 2426, 550, 17627, 602, 15449, 919, 707, 7802, 1310, 5986, 28019, 269, 2334, 568, 519, 5543, 573, 2305, 540, 31294, 593, 596, 563, 3383, 267, 513, 2039, 26372, 2337, 2569, 519, 1981, 540, 513, 31294, 3595, 269, 898, 7575, 3905, 2011, 543, 31294, 5536, 3544, 707, 1753, 547, 2972, 2973, 2011, 269, 898, 849, 8952, 707, 8673, 15372, 689, 2469, 1055, 267, 865, 596, 3580, 723, 930, 4708, 538, 519, 10051, 563, 1692, 666, 596, 2061, 513, 31294, 3595, 888, 2171, 5063, 5950, 513, 6131, 2376, 7234, 875, 547, 9108, 2322, 856, 513, 31294, 3595, 267, 865, 581, 2386, 547, 2638, 602, 856, 269, 769, 1840, 267, 2630, 616, 513, 1906, 3606, 4388, 547, 948, 2061, 513, 31294, 3595, 689, 8345, 538, 519, 1101, 1747, 563, 268, 1879, 596, 26650, 267, 4585, 707, 26282, 865, 602, 596, 1810, 1406, 3002, 519, 3282, 3564, 922, 8673, 1448, 563, 268, 1879, 519, 23041, 568, 593, 267, 581, 2386, 547, 2628, 3007, 563, 268, 11162, 707, 23041, 5111, 1169, 2185, 547, 3670, 4374, 563, 268, 1879, 31068, 267, 581, 6297, 711, 547, 1205, 3282, 10943, 2660, 563, 268, 1879, 2009, 267, 3382, 17428, 543, 31781, 609, 561, 1749, 563, 268, 19331, 1564, 267, 959, 633, 1206, 267, 543, 14089, 5378, 1206, 1058, 581, 6854, 2476, 689, 519, 23041, 563, 268, 674, 787, 1152, 3819, 1426, 282, 798, 711, 26650, 13792, 3536, 538, 707, 1753, 26650, 518, 269, 2659, 26650, 518, 1223, 24492, 952, 3282, 543, 1216, 616, 711, 6404, 563, 13425, 856, 713, 3381, 1572, 1215, 547, 10925, 4934, 513, 13983, 848, 9605, 689, 519, 1215, 4751, 13334, 8756, 547, 1294, 1018, 547, 798, 543, 1018, 711, 547, 798, 950, 7231, 609, 513, 31294, 3595, 563, 21761, 4280, 2055, 630, 11902, 304, 994, 19350, 616, 930, 540, 519, 1034, 4122, 4280, 2055, 3823, 31294, 11642, 563, 4692, 2039, 26372, 338, 2061, 513, 31294, 3595, 888, 288, 2039, 26372, 6971, 519, 7872, 540, 513, 31294, 3595, 269, 898, 1163, 1564, 3905, 2011, 543, 6067, 6470, 5536, 689, 707, 1753, 267, 3850, 596, 547, 13236, 2973, 2011, 269, 898, 849, 11151, 707, 8673, 15372, 689, 3280, 532, 267, 4758, 596, 4708, 538, 519, 10051, 563, 2710, 2039, 26372, 338, 5351, 538, 31294, 8851, 888, 8133, 256, 634, 2039, 26372, 779, 1034, 1713, 1599, 568, 547, 2087, 519, 2011, 2298, 538, 707, 10051, 269, 32431, 338, 616, 5497, 547, 4894, 30851, 267, 8673, 267, 3282, 267, 543, 824, 23606, 689, 519, 2011, 950, 5986, 563, 4263, 1018, 2837, 1281, 31294, 5337, 924, 888, 7197, 11041, 2253, 547, 8673, 693, 10199, 476, 14596, 5232, 18278, 543, 5337, 924, 693, 1472, 476, 4335, 5232, 18278, 269, 13068, 519, 2230, 1472, 707, 23041, 540, 12318, 1043, 1919, 971, 607, 3434, 9248, 610, 1957, 28734, 269, 1403, 513, 31294, 3595, 19082, 3564, 519, 23041, 267, 621, 666, 4166, 1831, 856, 540, 1852, 563, 3674, 31294, 19221, 5906, 888, 763, 31294, 568, 1166, 30100, 269, 901, 4679, 519, 10171, 540, 513, 3595, 538, 707, 10051, 269, 901, 666, 2014, 3959, 3441, 267, 5945, 267, 543, 1256, 2669, 952, 621, 3884, 1406, 9619, 5612, 269, 589, 3318, 2039, 26372, 666, 948, 547, 2569, 31294, 19221, 267, 18227, 3282, 543, 31294, 5536, 693, 15922, 563, 3674, 8781, 31294, 5739, 888, 8133, 267, 621, 568, 5393, 5739, 547, 6633, 31294, 269, 22165, 3107, 621, 538, 666, 581, 5739, 267, 543, 621, 666, 6633, 519, 2960, 543, 1267, 538, 4049, 2034, 610, 3791, 24266, 17236, 269, 1684, 711, 946, 1216, 547, 1159, 1278, 513, 31294, 3595, 269, 634, 31294, 3595, 779, 10943, 2660, 949, 6633, 596, 269, 898, 949, 3262, 547, 19683, 267, 4831, 339, 3591, 267, 6821, 267, 543, 824, 2127, 538, 519, 10051, 563, 305, 1052, 26372, 338, 13497, 2569, 519, 10171, 540, 31294, 11642, 269, 589, 2039, 26372, 7575, 31294, 5536, 543, 3905, 2011, 3544, 707, 1753, 865, 602, 596, 666, 13236, 2973, 2011, 269, 1411, 3580, 849, 723, 4708, 540, 2247, 538, 707, 10051, 1317, 621, 11151, 707, 8673, 32302, 689, 2469, 1055, 1510, 9963, 269, 1411, 1058, 2141, 581, 593, 519, 1413, 719, 585, 1022, 3595, 269, 11162, 707, 23041, 5781, 547, 2569, 519, 4960, 540, 513, 31294, 3595, 2417, 563, 1607, 2376, 5941, 875, 513, 2039, 26372, 666, 948, 2061, 513, 31294, 3595, 543, 875, 596, 666, 1852, 513, 31294, 3595, 1354, 621, 4991, 856, 540, 1852, 563, 268, 589, 2039, 26372, 666, 7494, 2569, 519, 4960, 540, 513, 31294, 3595, 538, 707, 10051, 563, 268, 13983, 848, 11642, 616, 3361, 676, 5986, 3282, 602, 814, 1831, 1932, 3905, 267, 6238, 547, 8673, 267, 543, 1287, 5337, 2572, 563, 268, 4107, 11041, 2253, 547, 8673, 693, 10199, 476, 14596, 5232, 18278, 543, 5337, 924, 693, 1472, 476, 4335, 5232, 18278, 563, 3383, 267, 798, 596, 1745, 8746, 602, 596, 666, 2061, 513, 31294, 3595, 286, 1656, 1018, 1705, 596, 1589, 540, 713, 2022, 286, 9894, 596, 2648, 621, 286, 9894, 596, 13842, 621, 286, 1215, 1131, 596, 2557, 621, 286, 2913, 721, 917, 538, 519, 8292, 3296, 2630, 630, 296, 1224, 543, 16253, 547, 1169, 6085, 1040, 1403, 596, 1336, 713, 2376, 5363, 267, 2638, 856, 1250, 2407, 5816, 585, 811, 4388, 543, 15361, 585, 707, 10051, 269, 8729, 585, 2542, 267, 543, 3251, 2922, 269, 0, 6124, 1636, 5398, 12140, 1185, 741, 4098, 609, 1715, 1636, 781, 15713, 538, 476, 9692, 276, 676, 29962, 6276, 13177, 269, 634, 1101, 1153, 3135, 729, 24603, 676, 13177, 269, 898, 729, 593, 713, 1153, 3135, 602, 519, 1533, 1101, 5750, 539, 513, 1153, 547, 581, 3710, 267, 519, 1715, 1636, 9142, 538, 476, 9692, 275, 268, 7176, 269, 901, 568, 519, 1459, 3135, 540, 476, 275, 628, 9335, 3427, 2221, 563, 763, 1101, 1863, 1857, 1153, 729, 513, 2845, 19970, 4092, 593, 16410, 582, 9335, 268, 852, 6239, 22971, 268, 12671, 476, 8146, 277, 269, 1635, 476, 8146, 279, 1715, 1636, 5398, 12140, 941, 1134, 3964, 543, 676, 476, 7277, 280, 1185, 922, 1378, 1164, 1153, 269, 769, 476, 6977, 277, 972, 941, 2947, 1455, 3506, 543, 513, 1164, 1153, 538, 5106, 563, 6635, 333, 1245, 16504, 3427, 1948, 272, 2000, 11343, 8385, 593, 519, 16410, 582, 9335, 3135, 267, 713, 1153, 729, 513, 1614, 1650, 15839, 2497, 3710, 538, 476, 4572, 275, 269, 901, 1153, 849, 1185, 519, 2012, 540, 6239, 22971, 3427, 269, 15907, 476, 3707, 271, 713, 2679, 729, 14324, 1524, 543, 1776, 3710, 6251, 547, 519, 1647, 540, 519, 3625, 269, 901, 2679, 1572, 28199, 16504, 1948, 273, 607, 1134, 607, 476, 273, 526, 10588, 267, 729, 3773, 5196, 538, 476, 4198, 278, 543, 6368, 6806, 538, 476, 2735, 272, 563, 17357, 16476, 2441, 328, 5783, 3427, 1532, 1122, 534, 1472, 476, 7277, 275, 543, 676, 476, 7277, 279, 1185, 606, 10026, 1153, 693, 741, 476, 277, 628, 9335, 3135, 269, 1635, 476, 5908, 274, 513, 1614, 1650, 15839, 2679, 729, 2322, 909, 269, 769, 476, 5002, 274, 1813, 547, 519, 3586, 3463, 540, 6360, 267, 1776, 1153, 729, 3710, 269, 23850, 547, 1413, 899, 513, 5053, 5692, 267, 3710, 540, 4224, 543, 1185, 1614, 2984, 269, 769, 476, 4572, 273, 4856, 16476, 2441, 328, 4400, 3427, 543, 20497, 3427, 8118, 593, 1772, 629, 7578, 9335, 538, 513, 1079, 1650, 15839, 1153, 2679, 269, 901, 1153, 6806, 543, 24673, 609, 1866, 547, 1831, 519, 10513, 13336, 28133, 4400, 3427, 538, 519, 853, 269, 14731, 632, 19833, 2679, 563, 290, 1774, 5696, 650, 5050, 5991, 792, 9835, 543, 5244, 22971, 269, 634, 1858, 729, 24509, 539, 883, 1715, 1636, 543, 519, 1153, 2968, 851, 540, 519, 1715, 1636, 1153, 1062, 563, 291, 7702, 595, 17026, 902, 16504, 5991, 3139, 585, 519, 5244, 22971, 3427, 1310, 513, 3595, 538, 476, 3707, 271, 8697, 519, 1153, 269, 898, 729, 32206, 543, 1031, 2394, 621, 6806, 538, 476, 2735, 271, 563, 292, 770, 1849, 604, 2023, 3427, 268, 19327, 24509, 539, 676, 1715, 1636, 269, 634, 1153, 568, 1631, 851, 540, 519, 1715, 1636, 1153, 1062, 563, 12626, 3427, 19945, 2989, 538, 476, 8687, 271, 676, 6004, 269, 543, 11427, 269, 6723, 9796, 928, 689, 9098, 269, 1358, 9901, 1269, 273, 829, 10116, 540, 22221, 4374, 563, 19177, 628, 9335, 3427, 32472, 538, 476, 4350, 277, 3459, 607, 606, 10026, 1153, 543, 538, 476, 4198, 277, 1185, 513, 28133, 4400, 3773, 547, 621, 269, 901, 25412, 3625, 1279, 2679, 18795, 593, 519, 3135, 540, 519, 3312, 1715, 1636, 9142, 543, 1715, 1636, 4400, 3427, 1948, 272, 3135, 267, 593, 2244, 2016, 676, 6276, 13177, 269, 898, 5170, 607, 606, 10026, 1153, 563, 294, 8681, 1613, 3427, 12845, 10811, 539, 676, 1715, 1636, 563, 295, 1551, 529, 3427, 8584, 7406, 1153, 593, 476, 280, 628, 9335, 269, 898, 729, 26948, 519, 715, 12764, 9335, 3427, 950, 513, 1007, 476, 1626, 4055, 15839, 1153, 729, 3710, 563, 3412, 332, 659, 592, 1092, 9142, 2914, 553, 513, 1164, 1153, 602, 3459, 538, 476, 5908, 272, 269, 769, 476, 5908, 275, 513, 7381, 1153, 2679, 729, 3710, 269, 9737, 476, 6245, 279, 268, 5002, 272, 606, 3606, 2679, 729, 1031, 269, 634, 1153, 6806, 538, 476, 4350, 273, 543, 519, 2679, 729, 14324, 1524, 538, 476, 3707, 271, 563, 3412, 332, 659, 3634, 1230, 4003, 23867, 8118, 607, 606, 10026, 1153, 538, 476, 6977, 278 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 268, 7216, 13012, 7690, 15099, 454, 268, 15099, 23794, 272, 1299, 23794, 273, 454, 268, 2296, 693, 570, 18967, 4141, 454, 268, 13174, 693, 570, 18967, 4141, 454, 268, 3163, 693, 570, 18967, 4141, 454, 268, 18027, 693, 570, 18967, 4141, 454, 268, 8535, 693, 570, 18967, 4141, 454, 268, 5071, 543, 5303, 693, 570, 18967, 4141, 454, 268, 3203, 693, 570, 18967, 4141, 454, 268, 17270, 693, 570, 18967, 4141, 454, 268, 11555, 693, 570, 18967, 4141, 454, 268, 13662, 4047, 693, 570, 18967, 4141, 454, 268, 3943, 693, 570, 18967, 4141, 454, 268, 3778, 693, 570, 18967, 4141, 454, 268, 17323, 693, 570, 18967, 4141, 454, 268, 570, 18967, 4141, 3427, 4804, 25024, 454, 268, 30947, 1912, 9582, 693, 570, 18967, 4141, 454, 14532, 693, 570, 18967, 4141, 454, 13750, 618, 2271, 550, 1107, 3778, 454, 5978, 2832, 693, 570, 18967, 4141, 12729, 568, 547, 1450, 10453, 547, 2263, 1686, 998, 606, 679, 11431, 1759, 6437, 269, 1284, 1616, 547, 3595, 10453, 685, 7279, 827, 519, 2250, 538, 6628, 543, 519, 9962, 1158, 269, 1284, 3494, 602, 6998, 2055, 827, 519, 2250, 568, 3844, 547, 513, 1434, 1686, 6437, 269, 769, 3778, 10453, 616, 9415, 547, 2243, 741, 1620, 540, 519, 2250, 3850, 873, 547, 2972, 782, 602, 3778, 814, 547, 2709, 269, 1403, 10453, 616, 2111, 547, 4983, 519, 2250, 267, 1453, 616, 811, 2693, 547, 2307, 2055, 827, 519, 1459, 1554, 269, 1284, 1616, 547, 16491, 1453, 609, 519, 2645, 547, 1589, 899, 12206, 267, 6313, 2250, 7239, 267, 4974, 7506, 543, 3527, 540, 2043, 543, 741, 1764, 593, 938, 1699, 2486, 269, 1677, 2327, 519, 1453, 786, 723, 513, 1434, 3178, 540, 1702, 267, 649, 786, 2285, 10453, 3255, 547, 4983, 2963, 20604, 909, 543, 7234, 270, 19163, 741, 1448, 540, 2070, 547, 1118, 741, 1378, 8753, 269, 5753, 786, 1353, 513, 3376, 5402, 9709, 6437, 799, 786, 5512, 1453, 693, 741, 4143, 1883, 3942, 547, 1020, 741, 1620, 540, 12225, 1108, 563, 7437, 519, 946, 540, 818, 974, 2399, 543, 3078, 15143, 267, 10453, 2744, 606, 538, 3829, 1620, 540, 1713, 2621, 538, 3703, 1686, 607, 1134, 607, 19825, 875, 1919, 1689, 936, 942, 269, 9453, 3778, 267, 972, 1131, 581, 1100, 2104, 2336, 8450, 2630, 585, 513, 5299, 540, 519, 1686, 3084, 6437, 563, 306, 2869, 3770, 267, 26874, 267, 4317, 543, 8836, 4886, 538, 3778, 693, 570, 18967, 4141, 3427, 454, 763, 1353, 540, 1686, 3322, 513, 2631, 540, 7279, 543, 519, 9814, 540, 875, 543, 1946, 2621, 538, 519, 2250, 5949, 543, 12651, 2055, 607, 547, 1018, 1223, 723, 5949, 952, 2621, 1185, 1185, 1114, 2164, 269, 1488, 974, 30440, 616, 1031, 547, 2285, 10453, 513, 2631, 540, 519, 2250, 543, 5351, 10453, 538, 1620, 519, 1004, 945, 3812, 543, 1031, 891, 3615, 269, 32167, 2812, 616, 9415, 547, 2263, 519, 1909, 5129, 676, 1271, 2043, 267, 585, 1434, 610, 2192, 267, 538, 519, 5935, 540, 519, 1158, 649, 2661, 538, 269, 32167, 2812, 849, 2992, 2390, 1114, 12496, 540, 519, 2250, 543, 875, 891, 12496, 723, 1044, 8452, 693, 563, 303, 1575, 2812, 616, 4280, 547, 2015, 543, 6085, 593, 5837, 2055, 543, 21140, 269, 15638, 543, 4978, 538, 519, 2250, 786, 1419, 581, 693, 12918, 609, 1018, 649, 1131, 2015, 30849, 2221, 269, 630, 1656, 941, 547, 930, 1004, 538, 519, 2250, 849, 4700, 32167, 2812, 786, 581, 9415, 547, 1397, 8296, 585, 1004, 6849, 21140, 543, 547, 26003, 1047, 609, 3664, 602, 1004, 538, 519, 2250, 1500, 543, 519, 7744, 3297, 741, 3664, 269, 3502, 687, 540, 1318, 610, 4636, 616, 8268, 538, 4276, 609, 2621, 689, 519, 2250, 267, 16046, 609, 519, 1871, 540, 5126, 563, 303, 1575, 2812, 786, 2263, 519, 10486, 543, 24716, 1063, 2250, 543, 1459, 7239, 543, 581, 1500, 3222, 540, 875, 267, 538, 519, 1292, 267, 649, 616, 1360, 26752, 547, 2661, 538, 519, 2413, 1158, 267, 799, 6402, 609, 519, 1871, 540, 9684, 6888, 269, 1358, 786, 4983, 875, 824, 4529, 723, 1185, 513, 2101, 1764, 593, 519, 1646, 540, 3703, 2528, 269, 32167, 2812, 786, 849, 581, 9415, 547, 1628, 909, 741, 1378, 1514, 1646, 998, 10319, 543, 2319, 2324, 2238, 269, 634, 1353, 540, 1514, 2152, 568, 513, 1455, 6249, 538, 1686, 4245, 693, 570, 18967, 4141, 563, 303, 1575, 2812, 786, 1353, 267, 543, 581, 9415, 547, 2744, 543, 1620, 540, 267, 543, 26003, 1047, 609, 267, 1004, 689, 1114, 10080, 269, 1358, 786, 4983, 875, 824, 4529, 723, 1185, 513, 2101, 1764, 593, 519, 1646, 540, 3703, 2528, 269, 32167, 2812, 1020, 513, 1732, 1620, 540, 938, 3818, 2686, 2486, 998, 4974, 6402, 1063, 2199, 2073, 3703, 267, 3864, 543, 1158, 1686, 269, 634, 9295, 540, 1114, 4529, 547, 1480, 1646, 543, 3356, 616, 6594, 267, 799, 6402, 609, 519, 2418, 540, 7326, 543, 16608, 563, 2414, 1265, 856, 811, 827, 1018, 649, 4001, 538, 1686, 693, 570, 18967, 4141, 3427, 5225, 4945, 593, 519, 6402, 2630, 269, 0, 4415, 519, 12306, 4365, 543, 2799, 5210, 267, 621, 568, 4502, 22348, 707, 2383, 540, 519, 1655, 2853, 950, 7311, 1216, 547, 513, 15989, 563, 763, 6371, 2030, 1281, 711, 991, 519, 2179, 540, 1216, 930, 1004, 1589, 267, 607, 621, 568, 6923, 2966, 547, 946, 7509, 998, 4764, 7561, 563, 3719, 952, 12624, 7186, 1281, 711, 1683, 2614, 4764, 547, 2285, 721, 519, 15989, 649, 7287, 267, 7227, 2394, 519, 6371, 20585, 338, 538, 7990, 610, 5956, 547, 1694, 6366, 543, 530, 2830, 1310, 544, 12976, 607, 519, 4191, 602, 12555, 568, 2877, 563, 2691, 547, 4826, 519, 4521, 333, 454, 4407, 7509, 568, 606, 1898, 851, 540, 4509, 513, 2635, 15989, 267, 621, 779, 1271, 547, 1118, 2386, 602, 1216, 568, 4294, 693, 519, 2953, 942, 540, 1554, 267, 607, 1210, 513, 20057, 2401, 693, 519, 4636, 942, 786, 1267, 538, 2527, 21381, 540, 519, 1216, 543, 513, 3152, 4960, 540, 2068, 563, 12850, 532, 538, 519, 6640, 630, 2181, 2536, 2406, 1354, 476, 1015, 513, 6230, 4700, 568, 519, 1655, 942, 585, 519, 6371, 2030, 267, 3850, 1216, 547, 581, 12842, 998, 519, 5072, 1354, 519, 5210, 4473, 547, 513, 1377, 1141, 519, 1216, 4294, 786, 581, 4503, 547, 519, 27069, 21381, 563, 21446, 8271, 267, 596, 666, 1205, 14450, 538, 519, 2038, 10543, 267, 23679, 1063, 476, 276, 10681, 543, 476, 279, 10681, 267, 607, 609, 519, 3476, 21765, 3108, 267, 713, 786, 1450, 585, 519, 6371, 6978, 547, 3819, 1354, 3781, 6420, 267, 3648, 4227, 519, 8458, 540, 2068, 563, 22142, 1216, 606, 3964, 15989, 1063, 519, 3108, 540, 476, 1321, 29869, 543, 476, 274, 10681, 267, 607, 711, 1152, 786, 21381, 1831, 606, 3390, 267, 855, 972, 568, 519, 3773, 1761, 585, 6978, 1085, 25403, 1282, 3665, 5210, 563, 1692, 13518, 4826, 547, 2422, 454, 2691, 14450, 606, 3964, 15989, 267, 596, 991, 547, 798, 865, 585, 1279, 2614, 547, 2226, 7509, 538, 519, 3037, 9043, 547, 513, 3178, 540, 5111, 476, 5611, 7825, 630, 277, 6279, 1916, 6826, 2386, 711, 547, 936, 4248, 519, 15989, 267, 607, 7050, 7509, 538, 519, 5580, 2627, 786, 1291, 547, 13719, 3597, 532, 267, 799, 538, 2490, 786, 2285, 519, 3501, 2175, 585, 707, 6371, 547, 21707, 563, 12850, 532, 1169, 1554, 568, 711, 2556, 267, 513, 5021, 540, 476, 274, 2053, 513, 3018, 267, 585, 476, 736, 3764, 829, 1554, 568, 2614, 547, 2226, 2614, 7509, 538, 8236, 2178, 2208, 543, 8716, 2620, 5072, 563, 12850, 532, 1310, 519, 15989, 814, 1044, 936, 521, 1144, 454, 2691, 14450, 513, 9241, 6079, 539, 15989, 267, 519, 1883, 568, 547, 1832, 519, 1283, 476, 1839, 7825, 263, 272, 10759, 264, 540, 3037, 9846, 5848, 855, 711, 15459, 563, 2791, 786, 2693, 991, 547, 1216, 519, 6079, 539, 1858, 2899, 610, 7466, 513, 1554, 630, 28785, 519, 2038, 6640, 543, 10543, 5712, 616, 519, 9053, 2053, 1916, 5629, 519, 5452, 1376, 547, 10351, 3729, 267, 2226, 519, 14450, 543, 3037, 7509, 538, 519, 5580, 15989, 2627, 2394, 519, 6371, 6978, 10301, 476, 1839, 7825, 267, 693, 799, 1448, 519, 14450, 1184, 2115, 547, 581, 2759, 1394, 547, 7466, 829, 3018, 267, 799, 7512, 519, 5072, 547, 1332, 4514, 563, 2414, 1265, 707, 2199, 22427, 16675, 15989, 1416, 3028, 4945, 1934, 269, 0, 14549, 4064, 798, 711, 1847, 11179, 2059, 513, 1899, 540, 1257, 1247, 2542, 282, 3079, 267, 789, 7914, 2066, 519, 1899, 538, 4028, 5322, 630, 4385, 607, 521, 3147, 3547, 1070, 1063, 891, 521, 3147, 3547, 519, 4064, 3247, 585, 513, 6824, 540, 7643, 630, 25785, 725, 1916, 288, 6516, 6029, 519, 521, 3147, 3547, 630, 329, 7927, 264, 543, 4368, 725, 630, 11985, 4926, 264, 1282, 519, 2542, 1184, 563, 1103, 519, 22100, 267, 519, 535, 913, 320, 568, 513, 3844, 8486, 7768, 540, 17401, 14095, 25862, 538, 519, 3750, 799, 616, 3743, 585, 519, 8325, 3844, 5075, 849, 1634, 607, 535, 913, 531, 5075, 269, 634, 3845, 519, 3750, 7575, 538, 1142, 521, 3147, 1228, 568, 1063, 476, 272, 1700, 736, 3197, 609, 519, 3328, 1373, 476, 278, 1700, 280, 3197, 269, 634, 521, 3147, 3547, 2063, 585, 476, 736, 1700, 2412, 916, 267, 543, 1282, 713, 942, 519, 5075, 568, 26793, 267, 1100, 1007, 1344, 568, 9715, 563, 288, 6516, 6029, 519, 535, 913, 531, 267, 1612, 2378, 913, 531, 267, 543, 15672, 4525, 1247, 2542, 513, 1899, 540, 1257, 269, 634, 12297, 1540, 1899, 538, 519, 1647, 4564, 519, 4087, 540, 30651, 269, 12810, 1759, 593, 3474, 2378, 913, 531, 4393, 538, 2542, 267, 4179, 2517, 15062, 269, 5614, 518, 2593, 270, 14835, 270, 1015, 269, 23841, 279, 4882, 16328, 1691, 1700, 18733, 1700, 28512, 280, 1700, 273, 454, 6097, 547, 2090, 2059, 609, 519, 535, 913, 531, 1858, 267, 519, 1612, 2378, 913, 531, 1858, 849, 814, 513, 4105, 1909, 538, 6024, 2542, 269, 744, 685, 8802, 534, 514, 1010, 1353, 7150, 602, 519, 1985, 2262, 7506, 519, 3259, 540, 521, 3147, 3547, 281, 3476, 1913, 1267, 538, 3476, 521, 3147, 3547, 543, 2110, 1913, 723, 2110, 521, 3147, 3547, 269, 4935, 621, 666, 581, 1767, 602, 519, 1612, 2378, 913, 531, 3148, 4249, 513, 2565, 1909, 538, 6024, 2542, 543, 1058, 581, 3144, 883, 2272, 1247, 8888, 1826, 5865, 547, 581, 1031, 538, 8121, 3156, 585, 3476, 1257, 4259, 563, 918, 269, 744, 685, 8802, 534, 267, 28850, 547, 28850, 6513, 540, 16685, 590, 3147, 3547, 607, 513, 9577, 540, 7956, 783, 30352, 538, 7335, 267, 11855, 538, 589, 269, 30709, 619, 267, 631, 9950, 269, 654, 1503, 26684, 1299, 670, 269, 25376, 2742, 267, 630, 2644, 1070, 14409, 540, 6250, 1043, 5678, 267, 1715, 3840, 281, 1773, 523, 636, 4964, 267, 476, 3192, 280, 267, 6032, 269, 476, 5392, 1700, 2568, 0, 1103, 4948, 1272, 267, 649, 10355, 3247, 547, 1589, 827, 782, 519, 6946, 3157, 602, 11179, 2049, 538, 938, 1560, 269, 1548, 4523, 547, 1973, 4006, 2157, 950, 835, 1236, 2354, 12899, 267, 8255, 513, 2261, 25070, 267, 610, 22655, 838, 698, 515, 26152, 543, 513, 4062, 540, 10217, 14735, 286, 1548, 798, 938, 2281, 798, 609, 782, 602, 4006, 888, 1607, 1565, 1982, 568, 2966, 547, 6338, 596, 547, 1973, 7280, 7939, 269, 634, 1982, 5956, 609, 606, 7650, 540, 519, 1523, 540, 27921, 269, 1411, 786, 1287, 1451, 827, 519, 8219, 267, 8031, 267, 2281, 267, 543, 6675, 3238, 538, 519, 5826, 540, 1973, 7280, 27921, 269, 7053, 267, 596, 786, 1451, 827, 519, 12556, 540, 7280, 1369, 2281, 563, 26796, 12032, 540, 713, 1565, 1982, 267, 596, 786, 581, 2111, 547, 281, 912, 20779, 2970, 622, 519, 2956, 540, 1973, 7280, 27921, 563, 8266, 519, 8219, 267, 8031, 267, 2281, 267, 543, 6675, 3238, 538, 1973, 7280, 7939, 563, 23737, 519, 1523, 540, 2942, 5955, 1852, 543, 21087, 2065, 7939, 563, 11073, 1467, 519, 10408, 12556, 540, 7280, 563, 13993, 302, 7495, 24639, 294, 2752, 681, 9680, 308, 6369, 3582, 454, 10908, 26651, 543, 6052, 454, 306, 13610, 17796, 630, 514, 4156, 543, 5007, 994, 8448, 15240, 1734, 5853, 538, 10552, 454, 31863, 10552, 17491, 681, 5190, 454, 763, 7754, 17759, 630, 3674, 7410, 540, 700, 9734, 327, 753, 994, 27246, 540, 10552, 17491, 12071, 9822, 725, 454, 2704, 6495, 19204, 543, 3794, 1075, 6782, 630, 9711, 593, 14817, 14231, 267, 25026, 4094, 565, 1736, 994, 306, 728, 8074, 281, 11916, 29362, 910, 14523, 16570, 20945, 454, 289, 9508, 19204 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18220, 938, 1702, 540, 519, 5686, 540, 1919, 972, 616, 538, 519, 1158, 269, 570, 3539, 938, 2250, 2833, 547, 938, 1459, 4205, 609, 519, 1604, 267, 789, 5512, 721, 547, 5431, 543, 1174, 1007, 3615, 543, 2621, 269, 16610, 616, 849, 4143, 547, 1620, 11890, 971, 607, 1514, 3871, 267, 7209, 2010, 267, 543, 1256, 7499, 6163, 269, 8616, 899, 824, 5039, 10999, 2241, 5042, 3157, 971, 607, 6972, 610, 1620, 4633, 267, 1523, 5250, 543, 946, 616, 544, 5417, 2287, 569, 1950, 269, 0, 763, 544, 754, 545, 656, 26112, 13489, 1042, 909, 519, 17069, 864, 547, 6411, 540, 10178, 520, 673, 679, 332, 640, 563, 293, 26698, 597, 910, 4408, 8385, 1374, 908, 1152, 519, 544, 754, 545, 656, 9753, 1916, 2690, 713, 2601, 267, 543, 1317, 3592, 689, 519, 4098, 519, 2165, 834, 615, 332, 1080, 257, 2968, 513, 3765, 333, 9593, 630, 1721, 789, 14460, 519, 24301, 543, 5030, 5572, 1302, 538, 10034, 1070, 789, 19486, 1851, 519, 2003, 1513, 267, 543, 2968, 519, 8772, 540, 519, 544, 754, 545, 656, 9753, 563, 16352, 9310, 538, 1813, 942, 267, 543, 513, 2034, 942, 1310, 519, 2669, 540, 1010, 1101, 7385, 267, 646, 5030, 607, 513, 834, 5264, 14516, 257, 630, 326, 686, 13757, 15925, 264, 11489, 519, 2085, 540, 476, 2190, 267, 950, 646, 15646, 6407, 1010, 1920, 13218, 543, 1305, 856, 607, 513, 3909, 544, 754, 545, 656, 630, 341, 2967, 4048, 514, 1070, 9683, 1282, 519, 1985, 3670, 1296, 519, 9030, 4025, 540, 31145, 538, 7187, 3127, 267, 543, 840, 2286, 609, 7415, 1967, 1010, 14985, 540, 13225, 752, 16210, 267, 610, 13730, 20174, 547, 30730, 267, 607, 519, 10966, 1546, 640, 563, 763, 5013, 7282, 519, 4473, 540, 519, 2107, 10249, 540, 21780, 545, 656, 29443, 1513, 616, 1644, 538, 519, 4930, 593, 519, 1896, 9753, 630, 293, 3757, 322, 4593, 753, 267, 18067, 15092, 267, 25844, 601, 2572, 267, 4864, 15687, 19555, 1080, 1070, 543, 538, 602, 2201, 3933, 2880, 1143, 630, 31086, 594, 328, 1070, 1141, 519, 3017, 1063, 2003, 1513, 543, 26112, 568, 6045, 269, 0, 11328, 18283, 550, 4112, 657, 633, 13081, 454, 268, 476, 277, 3933, 2195, 3516, 454, 296, 3633, 3322, 20443, 14501, 540, 791, 14601, 267, 10728, 267, 8909, 2065, 7180, 610, 14220, 11913, 856, 10767, 7370, 538, 799, 835, 23465, 14407, 569, 856, 540, 8167, 547, 519, 3510, 269, 23582, 6057, 267, 4155, 30270, 267, 8840, 3615, 267, 18530, 1919, 610, 824, 2191, 21915, 337, 4548, 949, 581, 4191, 540, 26740, 23292, 4524, 269, 4658, 609, 713, 4524, 4043, 547, 4323, 1866, 607, 1134, 607, 741, 22590, 4929, 15629, 5945, 543, 3959, 3441, 563, 763, 23292, 14501, 2356, 2063, 1447, 982, 476, 1789, 3764, 543, 949, 2049, 538, 13421, 610, 581, 9674, 676, 3275, 610, 4374, 540, 1875, 268, 12000, 1833, 269, 769, 1063, 891, 23292, 856, 10767, 7370, 267, 519, 1367, 949, 581, 791, 14601, 267, 10728, 610, 14220, 269, 0, 8072, 2005, 568, 9444, 741, 17145, 6862, 741, 1973, 602, 10301, 16589, 282, 621, 568, 707, 14039, 1214, 602, 10301, 1864, 10200, 910, 763, 13411, 15878, 685, 534, 476, 2420, 281, 4391, 454, 304, 18076, 328, 568, 519, 3909, 2259, 540, 27531, 13184, 1282, 661, 573, 12804, 268, 3849, 3873, 269, 898, 568, 530, 1690, 756, 1107, 928, 10354, 585, 1169, 9921, 7332, 945, 568, 20019, 2111, 547, 840, 845, 15878, 3316, 328, 269, 769, 519, 2680, 602, 835, 568, 8572, 547, 4163, 856, 519, 15093, 1282, 661, 573, 267, 610, 538, 519, 1079, 2395, 799, 1246, 267, 646, 24172, 568, 8078, 539, 547, 24946, 519, 1871, 540, 513, 9384, 4716, 3662, 563, 304, 18076, 328, 568, 513, 2245, 602, 2501, 547, 721, 689, 519, 21024, 594, 3630, 29538, 630, 553, 264, 543, 1010, 5067, 1772, 21166, 630, 553, 1040, 898, 19595, 721, 540, 519, 1390, 15093, 1312, 941, 8348, 547, 1118, 267, 741, 4222, 540, 5132, 267, 543, 540, 2696, 779, 3870, 543, 23502, 2390, 519, 21071, 563, 763, 21024, 17124, 630, 335, 321, 7795, 264, 1767, 602, 513, 1825, 591, 945, 840, 13257, 15878, 3316, 328, 538, 5609, 1356, 640, 786, 28231, 513, 8007, 585, 1169, 4552, 540, 519, 3662, 646, 24172, 24279, 269, 630, 307, 3305, 573, 6062, 264, 9349, 2659, 15878, 3316, 328, 3767, 0, 763, 7083, 779, 2672, 3899, 267, 4004, 542, 267, 568, 835, 540, 1079, 5485, 571, 906, 9976, 538, 519, 3465, 2421, 614, 1014, 5783, 538, 8581, 267, 519, 824, 1373, 19097, 1143, 269, 589, 5485, 26963, 568, 513, 3308, 5351, 799, 14550, 543, 25495, 519, 5289, 18408, 543, 14767, 8659, 538, 519, 22258, 563, 1103, 519, 5485, 26963, 540, 519, 7083, 779, 2672, 3899, 267, 519, 3694, 4564, 2441, 779, 1560, 7745, 593, 519, 3444, 543, 519, 9174, 3571, 10552, 8774, 585, 519, 19807, 540, 5609, 269, 589, 5485, 26963, 568, 2495, 1652, 1510, 5132, 269, 8409, 945, 2097, 547, 519, 7083, 779, 2672, 3899, 1058, 723, 5132, 538, 2441, 607, 519, 2290, 945, 814, 5747, 585, 741, 21359, 563, 763, 7083, 779, 2672, 3899, 729, 3964, 676, 2441, 269, 3807, 1354, 519, 16961, 32267, 542, 4906, 1558, 609, 3571, 20785, 538, 519, 16592, 18740, 547, 8661, 519, 30687, 269, 4438, 519, 7594, 1261, 13264, 3694, 543, 3838, 621, 609, 873, 267, 7713, 602, 713, 1131, 7618, 873, 540, 3571, 1378, 1560, 7745, 585, 873, 593, 519, 3444, 269, 1261, 1287, 6035, 873, 9174, 547, 4235, 267, 547, 7618, 873, 540, 3571, 1973, 8774, 547, 11547, 2476, 741, 21359, 269, 901, 17766, 540, 519, 1973, 849, 20177, 513, 1007, 26315, 610, 7029, 1063, 2696, 543, 782, 519, 13794, 540, 2441, 563, 763, 2140, 519, 7083, 779, 2672, 3899, 3217, 721, 1394, 547, 519, 7831, 2672, 3899, 950, 2441, 1101, 25009, 3571, 20785, 547, 7747, 713, 2027, 7594, 269, 769, 9721, 3465, 2421, 614, 1014, 1143, 267, 10847, 2533, 799, 1331, 519, 7083, 779, 2672, 3899, 616, 5219, 547, 607, 4004, 542, 6796, 799, 3746, 2478, 938, 1209, 542, 610, 31776, 609, 2696, 693, 519, 7083, 11313, 338, 7305, 269, 8409, 945, 2743, 693, 519, 7083, 11313, 338, 7305, 616, 1634, 607, 4004, 545, 656, 16840, 540, 519, 5939, 269, 2368, 3465, 2421, 614, 1014, 13039, 849, 946, 519, 2165, 267, 519, 2048, 12577, 540, 3694, 685, 547, 4766, 519, 7083, 779, 2672, 3899, 563, 4537, 2130, 538, 519, 7083, 779, 2672, 3899, 568, 585, 1346, 945, 723, 4607, 519, 7083, 4906, 2441, 883, 741, 2729, 269, 898, 568, 585, 1346, 945, 723, 2097, 547, 2441, 585, 20778, 543, 723, 8149, 741, 2729, 547, 2441, 543, 21028, 13924, 607, 741, 14205, 21831, 563, 3849, 3939, 547, 519, 7083, 779, 2672, 3899, 568, 593, 519, 4493, 540, 513, 2123, 5132, 538, 519, 7083, 4906, 2441, 269, 634, 31489, 29140, 540, 513, 30798, 4927, 16153, 547, 519, 7083, 779, 2672, 3899, 1152, 1346, 945, 723, 1044, 19071, 2213, 267, 945, 1118, 513, 3924, 540, 5132, 538, 519, 7083, 4906, 543, 4171, 1915, 568, 5812, 609, 971, 513, 3924, 269, 2991, 513, 1974, 540, 6044, 267, 1007, 3868, 1218, 616, 15861, 547, 519, 7083, 779, 7305, 593, 3924, 540, 5132, 538, 2441, 269, 1358, 616, 5189, 547, 519, 31489, 29140, 543, 18005, 4607, 883, 2407, 15376, 540, 519, 5939, 267, 2356, 693, 513, 840, 268, 10919, 542, 3028, 563, 4537, 2130, 538, 519, 7083, 779, 2672, 3899, 568, 540, 1390, 2956, 855, 621, 568, 1152, 835, 851, 540, 519, 4168, 1272, 269, 589, 3924, 540, 5132, 1590, 581, 10483, 676, 24150, 547, 2441, 538, 1169, 1858, 540, 1272, 563, 15973, 545, 656, 2818, 1058, 711, 1152, 581, 3238, 538, 519, 1272, 540, 741, 1378, 30798, 267, 855, 1058, 849, 723, 606, 1719, 538, 519, 9962, 960, 540, 519, 3465, 2421, 614, 1014, 5783, 269, 0, 257, 2304, 13229, 11819, 540, 7335, 4840, 3528, 281, 1325, 569, 5459, 594, 3272, 454, 2691, 1818, 4296, 609, 519, 2376, 267, 594, 1101, 11329, 856, 547, 8885, 602, 711, 1152, 568, 519, 7903, 585, 1164, 2298, 3610, 543, 3811, 2542, 3292, 593, 519, 4473, 267, 855, 621, 781, 519, 991, 585, 519, 11056, 540, 891, 1919, 547, 581, 1031, 1927, 538, 519, 4928, 269, 1306, 513, 4116, 649, 616, 5185, 609, 1082, 1114, 2591, 538, 519, 4928, 269, 2060, 3656, 1394, 902, 543, 3292, 971, 607, 12135, 299, 289, 938, 1909, 538, 513, 4928, 568, 2484, 3564, 711, 1175, 6028, 513, 1126, 3297, 269, 8786, 2059, 609, 1373, 2186, 899, 519, 2376, 7150, 267, 649, 616, 547, 581, 3260, 619, 267, 2900, 7970, 267, 543, 19393, 547, 891, 1053, 538, 1169, 1641, 267, 855, 2523, 538, 2542, 269, 2201, 1888, 540, 519, 834, 6343, 257, 543, 834, 6011, 2580, 3610, 723, 547, 7168, 1454, 6430, 602, 593, 741, 1378, 269, 28514, 267, 711, 4010, 1317, 972, 616, 865, 1082, 2200, 856, 972, 267, 855, 538, 513, 1259, 540, 1169, 2582, 2875, 568, 1114, 269, 898, 568, 519, 4116, 779, 5539, 547, 1445, 593, 1142, 1126, 269, 3689, 540, 519, 1032, 4116, 779, 2736, 519, 1053, 883, 1507, 2516, 1759, 2390, 519, 2115, 540, 1142, 1126, 269, 2060, 713, 649, 1118, 856, 513, 1544, 547, 2327, 1697, 6044, 585, 1346, 1053, 269, 1284, 723, 547, 960, 609, 12570, 1142, 540, 891, 2115, 543, 12755, 269, 634, 3356, 540, 938, 3527, 991, 547, 581, 16913, 543, 4957, 952, 1945, 568, 711, 2324, 585, 519, 2875, 269, 1879, 3450, 2542, 596, 616, 1210, 1169, 17752, 607, 513, 7872, 540, 6044, 269, 4634, 938, 946, 540, 4081, 1893, 568, 5807, 519, 2208, 540, 6863, 585, 519, 2663, 3942, 540, 8223, 269, 15788, 267, 1169, 1505, 540, 3450, 2542, 602, 1568, 585, 1142, 1126, 602, 632, 2114, 3294, 547, 581, 2500, 267, 568, 606, 2500, 2542, 2259, 585, 602, 1126, 269, 769, 4276, 540, 713, 547, 713, 1576, 267, 594, 1131, 2161, 602, 2542, 568, 538, 1249, 835, 540, 519, 7887, 2127, 6026, 538, 1153, 269, 634, 3610, 616, 865, 1271, 593, 4543, 547, 2327, 602, 1142, 2875, 814, 1018, 789, 991, 538, 1931, 547, 1832, 3001, 4464, 538, 741, 2542, 1983, 269, 901, 1576, 814, 3254, 803, 1312, 519, 2115, 543, 519, 2956, 540, 1018, 649, 798, 267, 610, 786, 798, 267, 538, 519, 4928, 269, 0, 6524, 649, 1449, 9250, 519, 15177, 267, 649, 7691, 602, 972, 2115, 547, 581, 513, 22745, 3760, 585, 519, 15177, 267, 865, 649, 4956, 547, 1118, 513, 2241, 835, 856, 540, 21312, 563, 2080, 568, 22089, 689, 519, 10131, 912, 763, 1101, 3364, 649, 1705, 547, 4584, 909, 689, 2063, 1362, 729, 547, 12927, 519, 2048, 342, 902, 685, 609, 15441, 269, 4495, 519, 15441, 568, 12015, 909, 267, 621, 666, 957, 899, 513, 21799, 610, 608, 18929, 13987, 543, 1832, 873, 19756, 543, 538, 1747, 563, 5475, 602, 267, 649, 3323, 547, 1039, 593, 519, 824, 1079, 2048, 342, 902, 685, 585, 6617, 543, 4287, 950, 9250, 563, 5629, 519, 9224, 13409, 7923, 267, 649, 616, 1631, 4712, 547, 10131, 563, 8702, 547, 4959, 289, 2349, 9233, 269, 901, 568, 707, 1101, 2022, 269, 22478, 610, 18419, 621, 267, 1287, 1376, 5816, 3101, 2336, 8923, 3314, 602, 713, 568, 606, 4959, 289, 3135, 585, 707, 946, 543, 596, 786, 581, 4371, 3743, 585, 519, 1543, 596, 2022, 269, 0, 18907, 476, 272, 560, 267, 476, 1001, 279, 1923, 17897, 476, 272, 1923, 476, 1724, 25008, 476, 3607, 3813, 338, 454, 836, 11253, 21868, 10290, 267, 1915, 267, 1915, 20671, 267, 27497, 267, 16177, 267, 1650, 331, 839, 454, 25603, 19468, 29029, 267, 513, 1762, 8004, 609, 513, 2898, 2603, 540, 9345, 945, 16137, 602, 27497, 666, 1491, 596, 689, 8723, 547, 9058, 269, 2701, 16137, 27497, 3340, 10100, 267, 8207, 543, 4222, 540, 1915, 563, 9596, 2994, 585, 3395, 27497, 538, 707, 3214, 267, 6273, 676, 4911, 11253, 667, 3089, 10290, 267, 11001, 543, 2278, 540, 717, 761, 281, 634, 5295, 540, 32425, 543, 3131, 14651, 267, 971, 607, 1565, 689, 4966, 267, 3843, 1007, 2994, 267, 543, 3232, 2259, 269, 9452, 2854, 543, 1936, 730, 676, 4873, 744, 14654, 267, 609, 5153, 327, 543, 631, 5417, 773, 4793, 1562, 517, 267, 25014, 543, 654, 2812, 16189, 549, 267, 12844, 22448, 17286, 3118, 543, 8751, 670, 770, 902, 269, 0, 28723, 9920, 6351, 1949, 454, 309, 12317, 1834, 4066, 543, 4155, 13680, 1399, 5786, 454, 309, 12317, 1834, 3106, 568, 513, 1883, 4640, 547, 2232, 16529, 1279, 3856, 543, 954, 574, 3853, 543, 9072, 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 ]
[ 2012, 11090, 267, 12899, 11090, 267, 543, 827, 476, 1911, 824, 1919, 602, 616, 13042, 609, 741, 2012, 602, 789, 786, 581, 1210, 2429, 519, 1554, 269, 901, 5012, 547, 17847, 543, 17140, 563, 2467, 616, 1082, 1983, 707, 1126, 1590, 4487, 1354, 1373, 2111, 547, 2328, 741, 2012, 593, 1957, 609, 513, 4050, 610, 15513, 269, 634, 338, 1983, 616, 3362, 11368, 883, 707, 3232, 6296, 563, 28403, 1944, 741, 8745, 454, 763, 1101, 1900, 547, 1373, 2111, 547, 2328, 741, 2012, 568, 547, 5431, 741, 2012, 269, 3503, 707, 1126, 779, 2012, 538, 607, 1082, 4025, 607, 2009, 563, 268, 7102, 942, 596, 2681, 267, 2328, 741, 2012, 593, 741, 1957, 454, 268, 2422, 9904, 23739, 2759, 1562, 547, 4196, 873, 741, 26889, 538, 519, 1106, 540, 741, 2012, 454, 268, 5269, 741, 2012, 856, 540, 1404, 323, 965, 610, 530, 1731, 7288, 16853, 454, 268, 3503, 741, 2012, 593, 519, 26806, 609, 26806, 22197, 454, 268, 5269, 513, 1129, 585, 519, 7450, 547, 741, 4055, 454, 7628, 713, 5123, 267, 707, 3804, 568, 602, 707, 1126, 12034, 741, 2012, 607, 1082, 2053, 607, 2009, 2429, 741, 1554, 267, 538, 607, 1082, 1114, 3029, 543, 4025, 607, 789, 666, 563, 8967, 749, 4256, 8745, 454, 6524, 513, 1126, 666, 2328, 741, 2012, 267, 789, 1590, 581, 2111, 547, 723, 519, 2953, 4484, 6284, 1983, 543, 581, 2111, 547, 2322, 519, 5022, 538, 519, 2953, 1931, 269, 24664, 1176, 972, 616, 1082, 1187, 2081, 547, 4001, 707, 1126, 547, 11963, 741, 2012, 2336, 268, 8535, 814, 519, 5863, 2702, 547, 4001, 269, 6056, 540, 782, 519, 8964, 596, 4121, 547, 948, 596, 3314, 1919, 950, 596, 941, 513, 4819, 269, 7734, 540, 519, 6426, 267, 1840, 7515, 267, 8691, 5013, 267, 3092, 1421, 865, 1577, 779, 2322, 602, 547, 960, 543, 2206, 707, 1126, 779, 2012, 269, 1280, 1383, 267, 15243, 666, 581, 23475, 547, 519, 19820, 540, 645, 16927, 9539, 8566, 14114, 269, 594, 1131, 2206, 968, 2467, 568, 513, 7911, 945, 779, 1360, 2186, 267, 543, 15243, 568, 1010, 2012, 27984, 269, 808, 5025, 4211, 14114, 5174, 2507, 892, 610, 596, 666, 1118, 909, 707, 1378, 19820, 269, 1215, 2027, 585, 707, 1126, 547, 723, 741, 1360, 1378, 5152, 20803, 2318, 4162, 827, 873, 543, 4543, 873, 547, 1451, 547, 11963, 741, 2012, 563, 268, 476, 274, 4484, 4408, 2119, 968, 16248, 32559, 631, 823, 7536, 268, 476, 275, 4484, 4408, 2119, 968, 6701, 1411, 12619, 532, 7536, 268, 476, 276, 4484, 4408, 2119, 968, 305, 578, 2659, 4425, 520, 892, 610, 968, 289, 5058, 302, 7536, 268, 476, 277, 4484, 4408, 2119, 968, 297, 17532, 13852, 338, 7536, 268, 476, 278, 4484, 4408, 2119, 968, 23562, 30257, 267, 3828, 30257, 9741, 10060, 7536, 268, 476, 279, 4484, 4408, 2119, 968, 2171, 654, 880, 1411, 513, 8585, 787, 8285, 7536, 300, 1460, 543, 674, 1460, 454, 268, 4635, 17371, 5022, 1282, 8602, 942, 610, 11275, 5022, 593, 519, 26806, 267, 11963, 707, 1126, 779, 2012, 269, 968, 300, 1460, 543, 4368, 17373, 10925, 519, 5022, 538, 1931, 267, 2012, 873, 1247, 15738, 547, 873, 267, 543, 3575, 873, 909, 269, 5620, 707, 1126, 2322, 873, 1394, 538, 519, 1318, 1931, 543, 1294, 952, 789, 666, 2995, 596, 519, 4484, 4408, 543, 4992, 563, 268, 5269, 513, 2012, 11015, 676, 1603, 707, 1126, 779, 2012, 593, 513, 4062, 540, 1957, 543, 5969, 1142, 4484, 6306, 269, 17186, 519, 5022, 909, 543, 1294, 952, 789, 666, 2322, 873, 1394, 1927, 563, 268, 4635, 9904, 23739, 2759, 1562, 267, 2759, 519, 5022, 540, 707, 1126, 779, 2012, 856, 540, 513, 3443, 322, 820, 269, 17186, 621, 909, 1354, 7674, 621, 547, 873, 267, 543, 789, 1590, 2322, 519, 5022, 538, 519, 2953, 1931, 1354, 4189, 741, 3443, 322, 820, 563, 2026, 606, 8835, 21133, 267, 594, 7118, 689, 27216, 16306, 693, 1100, 3606, 1942, 547, 596, 563, 268, 11576, 800, 1404, 568, 1898, 585, 2370, 6267, 269, 5753, 1451, 1655, 950, 789, 946, 2789, 12823, 547, 1628, 610, 13861, 3688, 269, 5620, 707, 1126, 2328, 741, 2012, 609, 741, 9416, 538, 607, 1082, 1114, 1919, 607, 596, 666, 1589, 540, 269, 1452, 10444, 6445, 619, 666, 581, 3262, 538, 513, 15513, 4216, 610, 513, 1804, 11256, 6656, 547, 1832, 519, 3190, 896, 1852, 269, 5620, 707, 1126, 946, 741, 24072, 9416, 547, 2721, 519, 5022, 563, 268, 1744, 3058, 31201, 454, 268, 595, 10541, 1975, 698, 515, 26152, 454, 268, 674, 5424, 24484, 454, 268, 22816, 7288, 853, 1460, 454, 268, 8745, 11576, 800, 23642, 268, 5269, 513, 2012, 10444, 10822, 602, 2337, 3214, 2259, 4484, 9517, 267, 4484, 3280, 267, 1250, 2012, 2259, 267, 5546, 267, 4778, 267, 18570, 267, 10203, 267, 1893, 1983, 267, 543, 8901, 4656, 1247, 2519, 593, 5386, 5179, 1983, 269, 898, 849, 10953, 824, 1271, 1983, 971, 607, 1966, 9010, 267, 1445, 267, 9345, 267, 14374, 267, 3408, 267, 543, 3929, 4222, 269, 2659, 1126, 786, 2648, 10259, 741, 2012, 267, 1565, 741, 5022, 267, 1210, 519, 17408, 14162, 619, 267, 546, 18804, 267, 1178, 25290, 267, 543, 31935, 609, 513, 10531, 2012, 6539, 2336, 6701, 596, 13110, 540, 6217, 968, 2005, 779, 9215, 302, 670, 19181, 17373, 4553, 676, 513, 15835, 6658, 888, 8794, 713, 835, 2241, 8360, 596, 3580, 1205, 538, 713, 3532, 3992, 267, 596, 3580, 711, 1152, 581, 2111, 547, 948, 707, 737, 1342, 334, 711, 2285, 909, 855, 596, 3580, 912, 285, 8002, 10675, 741, 2706, 12741, 540, 16177, 865, 602, 789, 666, 2490, 1472, 513, 15835, 6658, 543, 1832, 3843, 454, 285, 11900, 335, 790, 873, 547, 946, 16177, 2507, 16838, 950, 621, 779, 2182, 454, 285, 5938, 778, 873, 547, 5431, 519, 9963, 4191, 540, 4758, 909, 267, 543, 875, 547, 2490, 621, 1472, 676, 2921, 1852, 540, 741, 5079, 563, 294, 4599, 707, 3532, 17676, 3381, 3992, 547, 4001, 707, 737, 1342, 334, 835, 540, 519, 1034, 3532, 10569, 547, 16177, 563, 6635, 1206, 1299, 27207, 454, 290, 2761, 338, 7794, 5386, 5179, 1983, 267, 616, 513, 1390, 3450, 1907, 267, 543, 789, 2285, 707, 1126, 606, 4316, 547, 1020, 741, 5876, 563, 268, 5269, 513, 3141, 13906, 7815, 269, 3503, 707, 1126, 779, 2012, 593, 513, 6995, 6882, 538, 513, 5394, 8628, 15262, 269, 5620, 873, 1216, 10233, 519, 6995, 6882, 269, 1879, 621, 779, 3819, 267, 13793, 621, 538, 519, 6885, 585, 782, 547, 23507, 563, 268, 5269, 513, 2012, 7333, 1676, 269, 3503, 1142, 4484, 538, 707, 1126, 779, 2012, 538, 19389, 5022, 593, 741, 1378, 476, 274, 9943, 276, 4062, 540, 1957, 543, 1216, 10233, 621, 269, 21642, 519, 5022, 1927, 547, 1118, 513, 7333, 1676, 585, 741, 23103, 7450, 563, 268, 5463, 648, 622, 707, 2012, 269, 3503, 707, 1126, 779, 2012, 543, 723, 873, 5862, 621, 1210, 7117, 2389, 2354, 269, 2052, 596, 1118, 513, 4806, 609, 519, 4778, 888, 268, 3503, 707, 1126, 779, 2012, 538, 15262, 543, 723, 873, 3382, 621, 609, 536, 22857, 12297, 1562, 267, 22827, 267, 610, 29654, 563, 268, 2422, 751, 2130, 1957, 547, 7794, 5386, 5179, 1983, 269, 3503, 707, 1126, 779, 2012, 538, 15262, 543, 2285, 873, 1082, 1114, 4778, 540, 16150, 1957, 269, 5620, 707, 1126, 15237, 2370, 4773, 540, 1957, 543, 15441, 621, 593, 741, 2012, 547, 3382, 519, 3515, 269, 570, 8960, 1957, 568, 1390, 585, 14304, 9416, 6091, 543, 5386, 5179, 1983, 563, 268, 31674, 519, 5022, 1472, 707, 2777, 543, 723, 707, 1126, 979, 593, 513, 25094, 10152, 6968, 547, 1265, 873, 256, 2052, 789, 2322, 873, 538, 519, 2953, 1931, 888, 268, 2052, 707, 1126, 1265, 5022, 538, 741, 2012, 538, 2835, 602, 596, 1224, 1927, 888, 268, 3503, 519, 5022, 540, 741, 2012, 538, 1804, 5022, 593, 707, 5397, 3118, 269, 11910, 856, 519, 4484, 543, 723, 873, 1796, 593, 621, 269, 1358, 666, 849, 3802, 2059, 519, 5022, 1739, 519, 2953, 4484, 5250, 2619, 563, 2171, 2648, 4466, 2835, 602, 979, 2059, 609, 1018, 649, 616, 1565, 269, 7335, 568, 1898, 585, 3214, 269, 10017, 4653, 3081, 968, 20091, 547, 9002, 607, 1762, 607, 3670, 3275, 540, 2085, 5012, 547, 6793, 4938, 629, 983, 625, 543, 1732, 2038, 7924, 1983, 2185, 1296, 2663, 3034, 4322, 2835, 616, 711, 1175, 827, 4408, 267, 855, 827, 1582, 12635, 267, 22464, 267, 543, 11505, 269, 15526, 568, 1114, 543, 596, 1058, 581, 10583, 540, 945, 596, 616, 256, 17949, 2542, 891, 2835, 267, 610, 1265, 2835, 1141, 519, 1292, 1915, 8843, 519, 1482, 2012, 607, 707, 1126, 563, 2026, 606, 8835, 21133, 267, 594, 7118, 689, 27216, 16306, 693, 1100, 3606, 1942, 547, 596, 563, 2171, 1131, 6108, 513, 3018, 1565, 827, 932, 24075, 656, 1335, 636, 1169, 2887, 256, 1403, 596, 10093, 1406, 1224, 621, 267, 932, 24075, 656, 1335, 636, 568, 606, 32620, 2370, 10856, 945, 14560, 1200, 2012, 2507, 2394, 1352, 4422, 547, 1153, 269, 634, 824, 3214, 14902, 693, 621, 1317, 621, 568, 865, 1279, 269, 932, 24075, 656, 1335, 636, 16137, 513, 3407, 3992, 538, 1373, 10583, 540, 945, 1352, 568, 267, 543, 621, 1175, 4523, 547, 17063, 538, 1360, 1134, 609, 1565, 938, 2012, 2336, 5475, 2542, 932, 24075, 656, 1335, 636, 267, 2995, 707, 1126, 875, 596, 8359, 741, 2012, 269, 1772, 972, 513, 2027, 2495, 3297, 621, 888, 296, 6145, 3733, 1345, 568, 513, 9735, 1650, 602, 11414, 3214, 547, 2648, 3388, 827, 2933, 267, 1256, 950, 789, 616, 1114, 982, 3025, 3116, 2336, 300, 14709, 7200, 9253, 517, 568, 513, 8004, 945, 5654, 1114, 267, 4992, 1114, 267, 543, 6411, 8335, 982, 3025, 3116, 269, 30586, 1200, 9835, 15948, 6026, 1200, 547, 3802, 10583, 267, 12837, 2462, 267, 543, 2206, 10978, 569, 267, 543, 1352, 16137, 602, 1256, 1498, 1352, 568, 1114, 267, 1352, 568, 1869, 2027, 543, 1271, 2336, 288, 28769, 24189, 710, 715, 3139, 12071, 27918, 568, 513, 20036, 1650, 827, 513, 28769, 24189, 710, 945, 3085, 1406, 899, 1010, 2012, 2394, 646, 10742, 513, 2027, 28591, 665, 14058, 563, 296, 6557, 22167, 3534, 6145, 2725, 568, 513, 8748, 1650, 602, 7512, 3214, 547, 899, 596, 1317, 596, 2461, 596, 563, 288, 1187, 2534, 585, 23021, 568, 547, 2328, 538, 519, 2011, 269, 4635, 741, 24072, 9416, 607, 741, 4050, 267, 789, 3180, 741, 6186, 2786, 856, 538, 4395, 540, 873, 543, 2328, 5022, 538, 519, 2011, 269, 901, 568, 513, 1390, 1259, 547, 1205, 741, 1560, 3001, 543, 2259, 519, 2953, 5250, 540, 5022, 563, 14946, 20963, 16359, 10341, 454, 293, 710, 5179, 1983, 616, 519, 1983, 564, 602, 2636, 596, 547, 1852, 519, 1507, 6091, 538, 707, 11263, 269, 901, 2636, 596, 547, 7735, 16181, 267, 23407, 1990, 26802, 267, 543, 1852, 519, 4050, 267, 15513, 267, 610, 15262, 547, 2328, 707, 2012, 269, 15043, 891, 1983, 3217, 9837, 1275, 267, 543, 568, 4742, 5051, 811, 2352, 607, 2029, 946, 538, 1762, 1453, 14380, 563, 8002, 8481, 899, 519, 13492, 7396, 1657, 267, 4730, 609, 1404, 323, 965, 267, 751, 2130, 1957, 267, 543, 1022, 9162, 602, 2154, 2259, 22392, 1507, 3615, 616, 1434, 585, 14304, 5386, 5179, 1983, 563, 4517, 7053, 267, 5675, 4256, 8745, 454, 5475, 707, 1126, 666, 2697, 519, 5022, 538, 741, 2012, 543, 2322, 873, 538, 519, 2953, 1931, 267, 621, 779, 942, 547, 1376, 1603, 741, 2012, 563, 6524, 15243, 5206, 1142, 4484, 267, 649, 2911, 827, 519, 2953, 1259, 547, 1106, 519, 4484, 543, 13736, 609, 1010, 24072, 9416, 269, 1879, 3214, 1106, 5022, 2705, 789, 1616, 267, 789, 1628, 3983, 6208, 602, 616, 2352, 547, 2736, 2663, 563, 763, 1034, 1271, 851, 540, 1565, 547, 2328, 741, 2012, 568, 547, 1205, 873, 9599, 827, 1603, 269, 6096, 616, 711, 519, 1034, 3078, 2534, 538, 519, 1158, 267, 865, 1265, 513, 1259, 547, 1205, 707, 1126, 9599, 563, 12648, 873, 547, 519, 4558, 543, 1577, 873, 4584, 856, 930, 2027, 12508, 610, 11954, 22796, 269, 2913, 873, 2328, 609, 22916, 976, 269, 2311, 1101, 267, 621, 3085, 1406, 2339, 1018, 789, 2328, 609, 607, 1279, 607, 789, 616, 9599, 827, 1565, 563, 2237, 707, 1126, 779, 2012, 543, 2322, 621, 538, 513, 2985, 2149, 528, 610, 3382, 621, 609, 24386, 11746, 543, 723, 873, 10250, 741, 2012, 609, 513, 3819, 32135, 15262, 269, 10435, 621, 2656, 543, 1928, 1652, 899, 1603, 741, 2012, 2899, 513, 1554, 568, 513, 1390, 1259, 547, 1205, 2110, 267, 5812 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 277, 2410, 1556, 348, 1422, 10383, 1422, 13320, 346, 276, 2410, 1015, 348, 1341, 1422, 13320, 346, 278, 2410, 1321, 348, 1422, 10383, 1422, 13320, 346, 276, 2410, 1556, 348, 1422, 10383, 1422, 13320, 346, 277, 2410, 1015, 348, 815, 1422, 13320, 346, 278, 2410, 2420, 15732, 292, 329, 2075, 545, 1470, 11377, 17273, 19340, 346, 278, 15732, 14976, 1654, 842, 324, 11188, 524, 1304, 334, 632, 15255, 533, 842, 32136, 632, 19448, 7523, 518, 17144, 1100, 5067, 3312, 525, 269, 1133, 1071, 548, 764, 542, 16695, 735, 571, 19448, 533, 842, 3120, 269, 570, 1329, 324, 2625, 8494, 21059, 476, 271, 269, 1015, 632, 6584, 541, 796, 535, 10193, 16948, 796, 3312, 829, 334, 562, 684, 8619, 556, 577, 18054, 796, 3312, 635, 334, 535, 10193, 267, 2485, 379, 290, 340, 5451, 331, 1965, 3288, 2625, 8494, 21059, 630, 1718, 545, 1308, 264, 632, 6446, 3288, 533, 842, 3120, 6446, 735, 571, 4262, 3312, 2496, 6944, 652, 541, 692, 5719, 16660, 6446, 2330, 289, 284, 2330, 1714, 2680, 334, 6446, 1714, 1071, 548, 764, 542, 16695, 2440, 267, 586, 2330, 294, 284, 2330, 1714, 2680, 334, 1714, 24140, 611, 549, 4262, 3312, 269, 1306, 636, 597, 2330, 303, 16360, 347, 294, 264, 815, 476, 272, 2330, 586, 2330, 303, 16360, 347, 294, 317, 322, 264, 815, 476, 271, 269, 272, 21974, 13961, 2330, 303, 31855, 264, 815, 476, 271, 269, 279, 18079, 1303, 517, 806, 692, 2330, 303, 31855, 21270, 264, 815, 1422, 13320, 346, 303, 263, 16412, 20972, 303, 16360, 14587, 815, 1422, 13320, 346, 303, 16360, 347, 294, 264, 623, 31855, 20972, 303, 16360, 347, 294, 264, 303, 31855, 264, 1341, 623, 16360, 347, 294, 317, 322, 264, 303, 31855, 317, 322, 14587, 815, 1422, 13320, 346, 271, 269, 279, 2410, 271, 269, 279, 1341, 476, 271, 269, 272, 1422, 10383, 476, 271, 269, 273, 348, 815, 1422, 13320, 346, 2412, 2410, 6078, 15732, 292, 329, 2075, 545, 1470, 11377, 17273, 19340, 346, 279, 15732, 14976, 14557, 1723, 11188, 524, 1304, 334, 632, 15255, 796, 573, 3547, 632, 524, 328, 15300, 9133, 334, 632, 16491, 334, 911, 6403, 323, 553, 16948, 1714, 1425, 545, 1470, 512, 1329, 523, 796, 8919, 334, 635, 14243, 333, 269, 5487, 2058, 25556, 1629, 340, 652, 571, 6446, 1714, 476, 11152, 11188, 524, 1304, 334, 632, 15255, 796, 573, 3547, 598, 1609, 324, 8919, 334, 1459, 534, 524, 328, 1068, 320, 1286, 1461, 6403, 560, 3821, 632, 735, 677, 600, 1304, 334, 267, 544, 1304, 6652, 6446, 521, 6759, 5979, 1714, 13121, 11188, 524, 1304, 334, 632, 15255, 796, 573, 3547, 6446, 1100, 512, 1329, 523, 1609, 324, 8919, 334, 1459, 534, 1965, 320, 1286, 1461, 6403, 560, 3821, 269, 1530, 981, 2088, 19448, 796, 21059, 586, 694, 1958, 340, 550, 571, 6446, 1459, 320, 1714, 521, 6403, 660, 5448, 1286, 1461, 6403, 560, 4815, 269, 2485, 379, 290, 340, 5451, 331, 1965, 3288, 2625, 8494, 21059, 7873, 545, 1308, 632, 6446, 3288, 796, 21059, 512, 1263, 320, 1714, 8919, 334, 267, 546, 5964, 1609, 324, 735, 677, 600, 1304, 334, 2496, 6944, 652, 541, 692, 5719, 16660, 6446, 2330, 291, 284, 2330, 1714, 2680, 334, 3288, 796, 21059, 1609, 2946, 8919, 340, 6242, 586, 2330, 290, 284, 2330, 1714, 2680, 334, 512, 1263, 320, 3288, 1286, 1461, 6403, 560, 3821, 269, 9980, 517, 806, 2330, 303, 20573, 264, 815, 476, 271, 269, 4962, 18079, 2330, 303, 18154, 25238, 264, 815, 476, 271, 269, 11152, 18079, 586, 2330, 303, 18154, 25238, 317, 322, 264, 815, 476, 271, 269, 6349, 29634, 2330, 303, 20573, 18871, 264, 815, 1422, 13320, 346, 303, 18154, 25238, 264, 623, 20573, 20972, 303, 18154, 25238, 264, 623, 20573, 264, 1341, 623, 18154, 25238, 317, 322, 264, 623, 20573, 317, 322, 14587, 815, 1422, 13320, 346, 271, 269, 11152, 1422, 10383, 476, 271, 269, 4962, 2410, 271, 269, 11152, 1422, 10383, 476, 271, 269, 4962, 1341, 476, 271, 269, 6349, 1422, 10383, 476, 271, 269, 4817, 348, 815, 1422, 13320, 346, 11152, 2410, 14530, 15732, 292, 329, 2075, 545, 1470, 11377, 17273, 19340, 346, 280, 15732, 5353, 973, 32079, 796, 26195, 6403, 334, 632, 476, 1911, 271, 796, 573, 3547, 18546, 6759, 5371, 553, 269, 1401, 626, 324, 19448, 2625, 8494, 21059, 28075, 783, 618, 324, 21483, 632, 6446, 554, 11535, 476, 271, 267, 476, 272, 267, 476, 273, 522, 476, 274, 796, 573, 3547, 8919, 340, 657, 553, 679, 1714, 561, 1774, 269, 13961, 694, 694, 548, 764, 542, 320, 796, 334, 620, 20842, 541, 586, 694, 1958, 340, 550, 571, 6446, 1965, 1207, 523, 334, 267, 2485, 379, 30501, 5451, 331, 1965, 3288, 2625, 8494, 21059, 632, 6446, 1100, 554, 11535, 796, 573, 3547, 8919, 340, 657, 553, 679, 1714, 561, 1774, 2496, 6944, 652, 541, 692, 20075, 2330, 291, 17624, 815, 2330, 1714, 2680, 334, 632, 2330, 330, 2330, 8919, 340, 657, 334, 586, 2330, 294, 2330, 4262, 1714, 2680, 334, 694, 11869, 324, 796, 334, 1207, 523, 334, 780, 2330, 303, 20573, 318, 271, 347, 294, 264, 815, 1422, 13320, 346, 303, 31855, 25238, 318, 271, 264, 623, 20573, 318, 271, 20972, 303, 31855, 25238, 318, 271, 264, 623, 20573, 318, 271, 264, 1341, 623, 31855, 25238, 318, 272, 264, 623, 20573, 318, 272, 264, 1341, 623, 31855, 25238, 318, 273, 264, 623, 20573, 318, 273, 264, 1341, 623, 31855, 25238, 318, 274, 264, 623, 20573, 318, 274, 264, 15732, 2330, 284, 1422, 13320, 346, 272, 1422, 10383, 476, 272, 270, 275, 2410, 263, 272, 270, 275, 7565, 272, 1341, 476, 15886, 270, 1911, 271, 1341, 476, 4200, 279, 270, 1911, 271, 1341, 476, 4200, 278, 270, 1911, 271, 14587, 815, 1422, 13320, 346, 1911, 271, 2410, 274, 4200, 275, 15732, 292, 329, 2075, 545, 1470, 11377, 17273, 19340, 346, 1015, 15732, 299, 657, 3611, 657, 865, 3691, 3824, 637, 657, 586, 678, 836, 657, 2892, 25106, 525, 16948, 19448, 15002, 3385, 533, 29793, 24265, 694, 1387, 714, 534, 632, 3288, 521, 580, 340, 1304, 324, 812, 5028, 269, 3230, 306, 318, 272, 2330, 284, 1714, 3824, 637, 334, 606, 783, 1642, 2680, 334, 1965, 17071, 513, 1269, 1839, 267, 1822, 282, 2330, 306, 318, 273, 2330, 815, 1714, 3824, 637, 334, 606, 783, 1642, 2680, 334, 1609, 5451, 1303, 516, 259, 1839, 267, 1822, 586, 1269, 1911, 267, 1822, 282, 2330, 306, 318, 274, 2330, 815, 1714, 3824, 637, 334, 606, 783, 1642, 2680, 334, 1965, 25650, 513, 259, 1911, 267, 1822, 269, 3230, 292, 318, 272, 2330, 284, 2680, 334, 1100, 1264, 339, 6759, 3288, 1534, 24265, 5203, 527, 7559, 282, 2330, 292, 318, 273, 2330, 815, 2680, 334, 632, 3803, 714, 24265, 632, 6132, 523, 857, 520, 3120, 282, 2330, 292, 318, 274, 2330, 815, 2680, 334, 632, 3803, 714, 24265, 1642, 1982, 320, 632, 1064, 326, 2784, 334, 522, 1286, 516, 571, 1527, 525, 1308, 269, 11968, 3611, 657, 533, 4240, 523, 1583, 512, 5429, 15606, 632, 3288, 521, 580, 340, 1304, 324, 812, 5028, 281, 2330, 303, 27887, 318, 272, 264, 815, 476, 271, 269, 4792, 2330, 2073, 2330, 303, 27887, 318, 273, 264, 815, 476, 271, 269, 1789, 2330, 543, 3230, 303, 27887, 318, 274, 264, 815, 476, 271, 269, 4962, 29634, 2330, 303, 22829, 10983, 347, 292, 19553, 264, 9681, 3230, 306, 318, 272, 2330, 3230, 306, 318, 273, 2330, 3230, 306, 318, 274, 2330, 3230, 292, 318, 272, 2330, 476, 271, 269, 5952, 476, 271, 269, 1015, 476, 271, 269, 4962, 3230, 292, 318, 273, 2330, 476, 271, 269, 1015, 476, 271, 269, 3199, 476, 271, 269, 1015, 3230, 292, 318, 274, 2330, 476, 271, 269, 4962, 476, 271, 269, 2004, 476, 271, 269, 3393, 3230, 303, 22829, 10983, 14638, 476, 271, 269, 2004, 476, 271, 269, 2412, 476, 271, 269, 1015, 454, 272, 269, 10318, 14373, 3230, 303, 27887, 318, 274, 590, 318, 274, 14638, 563, 273, 269, 10016, 784, 32115, 6446, 19448, 1268, 320, 512, 1329, 324, 19448, 1534, 24265, 5203, 527, 7559, 630, 7562, 1609, 644, 3930, 632, 1064, 326, 2784, 334, 1040, 2485, 379, 290, 340, 5451, 331, 1965, 3288, 2625, 8494, 21059, 630, 1718, 545, 1308, 264, 632, 6446, 20527, 331, 522, 552, 12848, 575, 534, 541, 5451, 8096, 1839, 267, 1822, 522, 544, 27222, 888, 274, 269, 7402, 340, 550, 571, 3288, 2625, 8494, 21059, 2698, 632, 6446, 3288, 11008, 17144, 632, 3824, 637, 657, 632, 19448, 1268, 320, 4262, 620, 2367, 657, 16009, 620, 3279, 635, 334, 647, 562, 633, 331, 1534, 520, 16343, 563, 6944, 652, 541, 692, 320, 269, 2330, 303, 27887, 318, 274, 306, 318, 274, 264, 815, 623, 22829, 318, 274, 347, 292, 318, 274, 264, 303, 27887, 318, 274, 264, 815, 476, 271, 269, 3393, 1422, 10383, 476, 271, 269, 4962, 815, 476, 271, 269, 28873, 276, 9681, 321, 269, 3230, 303, 22829, 318, 273, 1422, 557, 324, 590, 318, 274, 347, 292, 318, 273, 264, 815, 476, 271, 269, 3199, 1341, 476, 271, 269, 1015, 815, 476, 271, 269, 3445, 9681, 322, 269, 3230, 335, 815, 630, 271, 269, 5952, 1341, 476, 271, 269, 1015, 1341, 476, 271, 269, 4962, 264, 1422, 10383, 476, 271, 269, 4792, 1341, 630, 271, 269, 3199, 1341, 476, 271, 269, 1015, 264, 1422, 10383, 476, 271, 269, 1789, 1341, 476, 271, 269, 3393, 1422, 10383, 476, 271, 269, 4962, 815, 476, 271, 269, 280, 5655, 276, 9681, 19865, 6695, 17273, 19340, 346, 1556, 15732, 1103, 513, 5619, 267, 476, 5952, 2600, 540, 519, 5520, 2161, 789, 3870, 513, 1978, 2754, 3609, 269, 19881, 1995, 6920, 602, 476, 736, 2600, 540, 1346, 945, 798, 711, 3870, 519, 3609, 2161, 602, 789, 798, 267, 856, 540, 4250, 540, 1065, 5142, 531, 269, 1548, 568, 519, 5506, 602, 606, 9441, 13603, 693, 4351, 2731, 1281, 3870, 519, 2754, 3609, 286, 898, 568, 10257, 547, 8263, 602, 782, 945, 3870, 2161, 865, 780, 2330, 303, 22829, 264, 815, 476, 271, 269, 5952, 18079, 3230, 303, 22829, 26180, 317, 322, 264, 815, 476, 271, 269, 736, 21974, 4746, 267, 10257, 547, 8263, 3230, 303, 22829, 26180, 264, 815, 476, 272, 29634, 2330, 303, 22829, 264, 815, 623, 22829, 26180, 264, 623, 263, 293, 264, 1341, 623, 22829, 26180, 317, 322, 264, 1496, 272, 910, 623, 263, 293, 13580, 2330, 10522, 3230, 303, 263, 293, 264, 815, 1422, 13320, 346, 303, 22829, 264, 910, 623, 22829, 26180, 317, 322, 20972, 272, 910, 623, 22829, 26180, 317, 322, 14587, 815, 1422, 13320, 346, 1724, 2410, 1626, 15732, 19865, 6695, 17273, 19340, 346, 1321, 15732, 288, 2298, 1852, 1895, 568, 8888, 606, 13128, 1449, 5650, 585, 11741, 12210, 5716, 4947, 689, 513, 2504, 1899, 269, 15232, 2982, 602, 835, 2600, 540, 519, 4559, 3812, 616, 26843, 269, 634, 13128, 1449, 5650, 814, 5506, 476, 271, 269, 4962, 540, 4758, 513, 7301, 2318, 16315, 543, 5506, 476, 271, 269, 6349, 540, 4758, 513, 7301, 2942, 269, 2334, 568, 267, 952, 3230, 291, 2330, 568, 519, 2680, 513, 1770, 7318, 568, 26843, 267, 543, 3230, 307, 2330, 568, 519, 2680, 602, 621, 4255, 25685, 267, 1287, 3230, 303, 24867, 25238, 264, 815, 476, 271, 269, 4962, 2330, 543, 3230, 303, 24867, 317, 322, 25238, 317, 322, 264, 815, 476, 271, 269, 6349, 21974, 14419, 519, 5506, 3230, 303, 20573, 317, 322, 30106, 14638, 6446, 19448, 796, 21059, 6446, 533, 4902, 2041, 536, 1329, 1609, 5451, 267, 632, 646, 11155, 267, 5391, 516, 632, 8919, 657, 780, 6944, 652, 541, 692, 11377, 13320, 346, 291, 317, 322, 30106, 2410, 303, 20573, 30106, 14587, 815, 1422, 13320, 346, 303, 24867, 25238, 317, 322, 264, 303, 20573, 317, 322, 20972, 303, 24867, 25238, 264, 303, 20573, 14587, 815, 1422, 13320, 346, 271, 269, 7176, 1422, 10383, 476, 271, 269, 4200, 2410, 271, 269, 4962, 1422, 10383, 476, 271, 269, 4905, 348, 815, 1422, 13320, 346, 280, 3583, 273, 2410, 276, 15732, 2330, 303, 20573, 317, 322, 30106, 264, 815, 1422, 13320, 346, 280, 3583, 273, 2410, 280, 3583, 278, 348, 815, 476, 272, 910, 1422, 13320, 346, 276, 2410, 280, 3583, 278, 15732, 292, 329, 2075, 545, 1470, 11377, 17273, 19340, 346, 1724, 15732, 290, 514, 1723, 1309, 329, 553, 632, 13365, 632, 8357, 807, 632, 934, 525, 334, 513, 548, 1807, 1470, 512, 1329, 523, 476, 1911, 796, 573, 3547, 11188, 1309, 10937, 269, 570, 1329, 523, 2463, 643, 3512, 324, 19448, 267, 13121, 267, 512, 637, 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 ]
[ 12945, 7397, 540, 9341, 3574, 29633, 538, 476, 1001, 275, 267, 5097, 547, 3624, 267, 14466, 7699, 1715, 19892, 630, 303, 7582, 264, 814, 1831, 519, 1158, 779, 4102, 1163, 7163, 540, 9341, 3574, 267, 20546, 532, 17111, 267, 799, 1185, 4371, 519, 1283, 5544, 585, 519, 454, 335, 770, 1896, 5756, 563, 307, 7211, 26216, 543, 19883, 616, 1950, 5396, 267, 21214, 513, 2039, 540, 886, 328, 1381, 2152, 267, 1519, 2244, 9562, 267, 519, 6940, 540, 2067, 2200, 267, 519, 1764, 593, 2916, 1689, 267, 519, 1514, 543, 2804, 1764, 540, 19883, 593, 9678, 543, 5266, 2150, 31189, 267, 7449, 14571, 5823, 2950, 267, 543, 519, 4027, 540, 519, 2596, 2924, 540, 519, 1004, 7255, 563, 303, 777, 7699, 1715, 19892, 779, 630, 303, 7582, 264, 7733, 543, 26216, 723, 5129, 606, 1271, 1909, 538, 519, 24454, 540, 519, 1004, 540, 519, 2197, 585, 1082, 1296, 269, 5983, 7370, 723, 3177, 513, 2707, 585, 1426, 267, 5613, 543, 10808, 267, 2679, 2326, 267, 16392, 2371, 267, 9249, 585, 9675, 543, 513, 5763, 540, 824, 2533, 563, 763, 1686, 540, 6683, 538, 623, 7582, 568, 827, 476, 1015, 476, 1822, 1296, 2025, 269, 901, 1686, 568, 12649, 1934, 538, 519, 2796, 540, 476, 2004, 476, 1822, 1296, 540, 1480, 13567, 540, 519, 5245, 1107, 1715, 19892, 3148, 269, 476, 272, 2859, 568, 1634, 827, 1018, 814, 5949, 683, 13145, 547, 519, 1459, 267, 2523, 2094, 476, 6942, 271, 267, 982, 827, 519, 11397, 2250, 269, 13518, 540, 519, 2038, 1686, 630, 2181, 20931, 264, 540, 623, 7582, 729, 7164, 2394, 827, 476, 2004, 1296, 3516, 267, 855, 2094, 476, 4198, 280, 972, 814, 1044, 513, 2603, 540, 1382, 593, 519, 840, 20931, 540, 623, 7582, 267, 609, 513, 2101, 1445, 593, 6683, 269, 1717, 267, 713, 568, 513, 6385, 9687, 2361, 540, 1353, 543, 938, 1620, 540, 454, 300, 573, 3118, 909, 519, 19527, 540, 519, 1656, 690, 19660, 267, 631, 7546, 583, 23981, 267, 543, 918, 1495, 27332, 10239, 602, 4473, 909, 689, 519, 4478, 6360, 680, 1622, 543, 5094, 5101, 9484, 1731, 19435, 689, 1621, 320, 543, 5375, 4400, 4133, 28393, 806, 538, 14466, 7699, 1715, 19892, 267, 616, 519, 2757, 17260, 540, 519, 772, 680, 663, 19966, 325, 1495, 328, 1004, 630, 305, 657, 1723, 324, 1299, 20052, 3316, 476, 1220, 275, 281, 11463, 1040, 11829, 7685, 540, 23296, 15078, 454, 10521, 540, 519, 796, 753, 26833, 2055, 540, 14466, 7699, 1715, 19892, 840, 20931, 616, 281, 630, 272, 264, 2436, 6683, 729, 1459, 454, 514, 519, 4571, 6953, 565, 18152, 711, 1152, 538, 519, 1164, 4133, 855, 849, 538, 519, 1970, 4133, 543, 645, 1143, 541, 1188, 5246, 28396, 543, 630, 273, 264, 31347, 519, 4527, 540, 6683, 1522, 723, 1044, 6766, 676, 5872, 1063, 891, 4525, 269, 901, 1957, 9607, 891, 2055, 998, 606, 2079, 540, 22300, 6149, 6180, 1513, 267, 11641, 956, 543, 5515, 267, 799, 3180, 1344, 593, 1312, 2511, 543, 1599, 563, 1015, 533, 3042, 3561, 24152, 519, 1646, 543, 5726, 538, 7239, 540, 1390, 2686, 543, 6211, 4763, 538, 1715, 19892, 540, 623, 7582, 269, 901, 729, 3370, 538, 476, 1220, 274, 454, 297, 32177, 13474, 28483, 593, 5113, 540, 14466, 7699, 1715, 19892, 630, 303, 7582, 264, 729, 5645, 856, 676, 519, 12020, 543, 16214, 4972, 3567, 4139, 29046, 10837, 538, 5988, 476, 1220, 273, 269, 901, 476, 4391, 533, 3042, 1867, 14592, 623, 7582, 781, 1249, 9212, 267, 3919, 2497, 267, 9086, 267, 1699, 2825, 2152, 543, 3486, 1894, 1063, 623, 7582, 543, 18246, 2477, 454, 15430, 757, 623, 7582, 781, 3922, 1242, 2825, 4145, 799, 1331, 281, 476, 272, 264, 7025, 2175, 1107, 14466, 7699, 1715, 19892, 476, 273, 264, 7025, 4027, 1107, 14466, 7699, 1715, 19892, 476, 274, 264, 7025, 1764, 2079, 1107, 14466, 7699, 1715, 19892, 476, 275, 264, 5398, 1072, 1107, 7025, 1107, 14466, 7699, 1715, 19892, 476, 276, 264, 13149, 2200, 1107, 11094, 1107, 14466, 7699, 1715, 19892, 476, 277, 264, 30656, 5726, 1107, 14466, 7699, 1715, 19892, 454, 27751, 568, 1710, 2331, 676, 519, 3864, 8189, 543, 568, 4843, 676, 6004, 269, 31722, 645, 867, 523, 543, 6004, 269, 717, 732, 628, 24156, 540, 631, 20062, 14408, 585, 519, 6554, 540, 14466, 7699, 1715, 19892, 543, 519, 3864, 8189, 269, 898, 1281, 711, 8209, 2992, 519, 6644, 540, 519, 6554, 540, 14466, 7699, 1715, 19892, 610, 519, 3864, 8189, 0, 21093, 513, 2168, 1354, 4098, 513, 2168, 2534, 568, 1883, 547, 2921, 1416, 540, 707, 1072, 563, 21357, 20180, 528, 12736, 8725, 18578, 11252, 744, 577, 10394, 16362, 540, 11846, 6925, 267, 19995, 693, 3213, 727, 9366, 17721, 16195, 563, 19865, 666, 723, 1082, 2640, 267, 855, 1152, 952, 621, 568, 2944, 5265, 269, 589, 2168, 981, 1058, 581, 2944, 1991, 547, 1022, 2168, 2534, 269, 901, 2636, 519, 1367, 602, 16858, 547, 3635, 610, 7119, 538, 513, 7328, 547, 581, 2922, 543, 2635, 563, 1103, 1931, 585, 2576, 779, 2168, 2175, 547, 581, 11117, 1991, 547, 2502, 538, 513, 1880, 3635, 267, 519, 1268, 1058, 4309, 513, 2168, 981, 602, 23403, 741, 19206, 267, 4187, 543, 4222, 563, 1607, 9584, 11887, 1142, 1268, 779, 7687, 267, 799, 616, 6027, 2687, 547, 519, 6981, 540, 5135, 950, 16706, 269, 1280, 1383, 267, 621, 27786, 875, 1082, 3126, 543, 10221, 1431, 666, 513, 1268, 16641, 1354, 741, 1072, 543, 2168, 8699, 568, 19847, 269, 968, 1607, 1907, 6971, 519, 8458, 540, 2348, 513, 2295, 4323, 1247, 16706, 269, 898, 849, 5713, 607, 513, 1259, 547, 13209, 2175, 602, 949, 581, 4299, 676, 707, 3635, 6296, 2223, 6941, 12736, 8725, 18578, 11252, 744, 577, 10394, 267, 16362, 540, 11846, 6925, 563, 26212, 547, 4152, 2576, 779, 2168, 19206, 267, 741, 2564, 1686, 267, 1519, 3105, 7063, 543, 4189, 6208, 267, 568, 12649, 269, 2991, 713, 1344, 568, 2312, 267, 2168, 2175, 616, 12290, 998, 513, 2489, 11095, 2079, 269, 634, 30273, 1062, 568, 849, 12649, 607, 1134, 607, 4222, 1377, 543, 8112, 563, 1607, 2168, 981, 568, 1360, 3730, 585, 6616, 875, 547, 2259, 5026, 538, 513, 2635, 1259, 267, 1247, 2921, 519, 2189, 4162, 540, 1142, 1367, 883, 7156, 269, 901, 2079, 666, 948, 1020, 606, 3635, 1544, 519, 13352, 1114, 2115, 563, 25444, 1058, 1491, 713, 981, 1991, 547, 4098, 513, 1007, 2168, 2534, 269, 898, 568, 811, 22317, 585, 2367, 543, 2021, 936, 519, 2085, 540, 476, 4649, 547, 1491, 519, 981, 267, 2705, 267, 607, 2295, 1981, 543, 1761, 3441, 547, 519, 6091, 2333, 1310, 713, 2085, 563, 2108, 24375, 940, 547, 1404, 5026, 1510, 6616, 707, 7182, 666, 1291, 547, 3978, 4539, 971, 607, 513, 3099, 540, 7063, 543, 513, 2530, 538, 707, 7929, 19206, 269, 8447, 11400, 666, 948, 2057, 891, 2010, 540, 2042, 2223, 18578, 11252, 2829, 563, 1607, 1826, 540, 9584, 1058, 581, 5342, 22991, 607, 519, 1560, 568, 538, 3586, 7004, 543, 922, 2175, 11179, 1689, 269, 634, 981, 5849, 602, 2043, 616, 5963, 5423, 547, 3635, 1510, 1966, 269, 898, 849, 2636, 873, 547, 2697, 4617, 2798, 610, 7687, 267, 799, 666, 2087, 998, 519, 2168, 2534, 3294, 676, 4758, 707, 1655, 543, 8165, 547, 1205, 519, 1655, 2164, 563, 2026, 519, 6031, 4422, 267, 968, 2005, 779, 1732, 547, 581, 2922, 267, 982, 20994, 1848, 8447, 11400, 1683, 1344, 593, 519, 1560, 779, 2783, 269, 898, 568, 513, 4990, 540, 3391, 1504, 585, 519, 15416, 547, 1491, 1282, 3635, 269, 898, 568, 513, 31387, 547, 1620, 519, 2200, 596, 723, 547, 960, 609, 543, 1018, 596, 991, 547, 960, 811, 593, 563, 763, 6662, 540, 713, 1907, 568, 547, 2149, 519, 1072, 540, 2043, 543, 585, 519, 7328, 547, 581, 606, 8665, 540, 2318, 1689, 585, 782, 945, 7119, 538, 621, 563, 3963, 1404, 5026, 888, 6524, 7446, 606, 3635, 6296, 267, 621, 568, 1271, 547, 3313, 519, 3804, 540, 2502, 538, 519, 2534, 269, 1280, 1383, 267, 616, 596, 16706, 9003, 585, 1072, 5301, 286, 2107, 798, 596, 1616, 547, 6336, 2597, 2394, 596, 3914, 707, 3804, 888, 16605, 538, 2247, 602, 606, 3635, 6296, 666, 581, 7368, 538, 519, 3169, 1482, 1259, 676, 1079, 1004, 267, 855, 922, 2164, 786, 4268, 4470, 593, 519, 1367, 269, 968, 2005, 568, 513, 1434, 2856, 585, 1004, 547, 3914, 856, 547, 12665, 602, 666, 948, 873, 1305, 1808, 3853, 1759, 593, 741, 1367, 2115, 2223, 8843, 8516, 26519, 267, 590, 1120, 1470, 5548, 30807, 334, 563, 2414, 6336, 2597, 267, 2168, 2534, 1058, 581, 1759, 593, 9025, 3635, 1927, 609, 513, 7594, 1544, 602, 2337, 596, 547, 9004, 13802, 543, 3536, 602, 616, 711, 6225, 547, 707, 1072, 563, 2252, 707, 3077, 568, 547, 581, 2635, 543, 960, 2509, 8236, 606, 18942, 4137, 267, 707, 3635, 6296, 1058, 581, 811, 1950, 543, 1058, 1331, 1312, 9025, 543, 4887, 23736, 269, 10791, 849, 4249, 513, 2565, 1909, 538, 713, 2013, 543, 707, 3232, 6296, 1058, 581, 1759, 593, 2635, 2853, 971, 607, 12008, 1134, 267, 2348, 1434, 14302, 267, 3092, 563, 1911, 260, 568, 519, 6871, 676, 799, 519, 1981, 585, 2348, 513, 2295, 4323, 4679, 1851, 15964, 9845, 563, 268, 700, 14823, 1932, 1454, 2597, 610, 16706, 585, 1932, 1279, 568, 835, 540, 519, 1034, 1455, 3123, 540, 5026, 7063, 269, 1358, 616, 849, 7928, 950, 513, 15904, 6296, 568, 711, 7157, 3964, 267, 799, 568, 1946, 621, 568, 1271, 547, 723, 519, 5583, 540, 513, 14468, 26519, 563, 268, 6787, 1813, 547, 513, 3668, 540, 942, 610, 3668, 540, 1995, 267, 930, 1004, 2253, 741, 23736, 1510, 8337, 909, 25656, 269, 1975, 2056, 942, 8337, 909, 519, 6091, 267, 2523, 1346, 602, 786, 581, 1031, 1282, 707, 6296, 267, 24024, 519, 1981, 540, 5945, 563, 268, 1403, 596, 798, 3614, 675, 3054, 267, 3247, 707, 15904, 5612, 269, 8033, 5224, 547, 3635, 1223, 2014, 2417, 3441, 269, 4634, 952, 519, 9636, 610, 1928, 568, 5634, 267, 519, 1655, 3903, 568, 547, 2569, 1022, 6553, 269, 898, 568, 1655, 547, 1964, 543, 4019, 3002, 543, 4411, 3797, 563, 268, 589, 1544, 585, 1697, 6484, 602, 17015, 519, 3635, 596, 616, 3257, 786, 11694, 707, 2164, 269, 4676, 1778, 689, 4189, 1318, 1354, 513, 15904, 543, 798, 711, 6445, 909, 593, 1426, 19952, 282, 3079, 540, 8236, 519, 2164, 596, 1616, 267, 713, 3123, 4887, 9854, 607, 1134, 607, 2949, 9854, 269, 0, 288, 3859, 1062, 1281, 711, 1152, 960, 693, 5021, 4390, 269, 769, 1970, 1769, 2175, 971, 607, 2038, 538, 519, 6640, 610, 950, 621, 568, 936, 4751, 267, 3859, 8440, 786, 1869, 6460, 1769, 883, 1379, 585, 707, 1753, 267, 1175, 693, 513, 4389, 2557, 563, 2690, 1383, 267, 513, 476, 276, 330, 310, 1062, 949, 1152, 581, 3977, 1154, 476, 273, 330, 310, 338, 540, 1379, 593, 513, 31063, 1554, 269, 1703, 568, 513, 1448, 1141, 519, 1648, 3812, 568, 1100, 3476, 2178, 2614, 547, 1379, 519, 28860, 543, 519, 1062, 786, 2490, 1055, 269, 901, 4523, 1169, 10543, 543, 5310, 1282, 606, 2523, 4158, 7088, 563, 2080, 568, 606, 1383, 540, 835, 540, 938, 1164, 7900, 2037, 874, 848, 5843, 769, 591, 614, 1949, 593, 606, 936, 4751, 1554, 269, 1306, 596, 666, 1294, 3977, 666, 1689, 8792, 676, 8792, 607, 519, 3141, 2501, 856, 543, 7106, 8986, 1586, 3297, 519, 12269, 269, 901, 1062, 568, 7259, 730, 1175, 7178, 540, 5087, 865, 519, 8445, 3859, 3977, 4386, 689, 3735, 6640, 998, 547, 1472, 476, 275, 10681, 538, 519, 12784, 269, 901, 568, 606, 2038, 5614, 1554, 630, 20826, 264, 865, 519, 8445, 3977, 1974, 786, 2333, 538, 3259, 936, 4832, 267, 543, 581, 513, 2370, 10156, 538, 5162, 269, 0, 1692, 1082, 10101, 540, 5135, 616, 6394, 538, 513, 5114, 1141, 476, 20720, 20853, 540, 5135, 3154, 568, 6394, 936, 1216, 693, 513, 2837, 540, 476, 1839, 11019, 290, 543, 513, 2698, 2604, 540, 476, 7597, 278, 8731, 337, 888, 24127, 540, 5135, 815, 476, 20720, 20853, 563, 307, 17687, 630, 307, 264, 815, 476, 1839, 11019, 290, 4586, 18208, 675, 630, 303, 264, 815, 476, 7597, 278, 8731, 337, 4586, 8245, 2952, 946, 519, 4998, 3154, 3830, 281, 14346, 815, 562, 20670, 454, 303, 815, 2604, 815, 476, 278, 1704, 8731, 337, 454, 309, 815, 4320, 815, 476, 20720, 20853, 610, 476, 271, 269, 20720, 700, 454, 333, 815, 7164, 454, 305, 815, 3154, 3586, 815, 476, 271, 269, 5400, 273, 6187, 700, 265, 520, 332 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 713, 3184, 267, 519, 2278, 29808, 602, 519, 1344, 543, 2984, 949, 581, 13347, 1154, 543, 7512, 3988, 547, 3914, 856, 547, 3237, 610, 1776, 11967, 2937, 585, 1489, 269, 12267, 689, 10821, 1153, 15000, 543, 741, 3885, 267, 6337, 540, 1004, 543, 21517, 267, 607, 1134, 607, 513, 5758, 540, 3140, 5013, 689, 602, 5736, 1118, 713, 3184, 1312, 4277, 543, 13181, 269, 14506, 2055, 602, 4497, 3988, 593, 1312, 513, 5042, 543, 3929, 1377, 1331, 968, 3963, 798, 596, 1589, 519, 6554, 540, 4516, 1500, 621, 10363, 585, 7087, 1004, 547, 2259, 741, 18428, 9495, 630, 4375, 1070, 968, 1432, 1032, 1705, 519, 2063, 1763, 7808, 3427, 538, 707, 11662, 270, 614, 761, 800, 2673, 9495, 630, 4366, 1070, 543, 968, 1692, 798, 596, 1589, 621, 1131, 1745, 547, 581, 5219, 547, 676, 513, 1297, 3079, 540, 707, 2012, 9495, 630, 7906, 1916, 763, 3791, 3184, 267, 968, 27094, 281, 7316, 1684, 1284, 5776, 4653, 9495, 7512, 3988, 547, 2015, 2648, 607, 513, 1797, 547, 936, 12741, 9409, 543, 12115, 519, 16398, 2813, 676, 519, 10821, 3506, 269, 22630, 8055, 5267, 602, 4516, 779, 3460, 540, 21047, 3340, 2648, 602, 968, 529, 12082, 538, 2463, 543, 26549, 519, 22464, 540, 1142, 1367, 892, 630, 3199, 1070, 513, 3210, 602, 729, 10355, 13736, 538, 519, 10821, 1153, 1995, 269, 901, 3184, 2882, 2984, 689, 1312, 1762, 1004, 9907, 8370, 547, 24369, 1296, 2025, 543, 4079, 945, 941, 26906, 538, 1931, 547, 2671, 741, 1620, 540, 21047, 269, 634, 1686, 3992, 5170, 609, 1344, 827, 519, 4095, 1763, 7808, 12140, 5590, 25557, 15716, 267, 519, 3284, 1108, 1500, 676, 4516, 779, 6305, 14012, 24697, 22489, 267, 543, 519, 18266, 543, 26532, 16624, 8189, 543, 519, 2621, 602, 4553, 269, 11088, 267, 3988, 616, 13934, 547, 1582, 18022, 937, 607, 789, 2015, 2055, 971, 607, 968, 1432, 1281, 621, 1611, 547, 23294, 1125, 9495, 630, 6434, 264, 543, 968, 8489, 798, 596, 1294, 707, 2146, 2921, 2962, 9495, 630, 9834, 1916, 763, 3803, 3184, 267, 968, 30747, 1145, 543, 5589, 760, 10635, 640, 281, 7316, 1684, 1284, 3619, 3245, 3371, 9495, 5267, 602, 519, 3460, 540, 21047, 568, 513, 1184, 538, 799, 649, 786, 991, 547, 3136, 547, 1332, 267, 12115, 267, 1451, 267, 543, 1265, 938, 1259, 4464, 269, 22630, 8055, 6257, 21047, 607, 606, 5571, 3460, 602, 666, 581, 6010, 2989, 547, 2679, 13123, 563, 11854, 1136, 3776, 18266, 281, 589, 17714, 540, 26532, 16624, 267, 676, 3933, 1664, 22630, 8055, 630, 7775, 8619, 7734, 267, 476, 1001, 278, 994, 7804, 269, 3798, 603, 8709, 3541, 4425, 558, 568, 19608, 7905, 540, 519, 13898, 540, 4065, 543, 519, 6657, 540, 16677, 698, 9609, 267, 607, 1134, 607, 10615, 540, 519, 9457, 540, 8551, 538, 13898, 538, 12409, 15557, 693, 519, 4659, 540, 4168, 5525, 538, 17842, 267, 14411, 269, 2060, 936, 13977, 21144, 1296, 540, 1995, 607, 606, 19829, 538, 1312, 918, 1700, 279, 3506, 543, 6280, 5468, 267, 1352, 26342, 602, 1352, 814, 28322, 689, 22864, 1813, 547, 519, 3043, 2681, 540, 1200, 2960, 543, 568, 593, 513, 3460, 547, 1831, 811, 3222, 540, 519, 7292, 543, 2686, 17536, 1182, 1369, 938, 1158, 543, 4481, 538, 938, 13460, 269, 0, 25542, 540, 18479, 17100, 568, 513, 1514, 13055, 1759, 538, 15057, 543, 519, 2136, 2276, 269, 1358, 616, 513, 5698, 540, 1099, 5505, 267, 5726, 1235, 267, 7855, 267, 3014, 9858, 267, 543, 2054, 1235, 2324, 1927, 2509, 2870, 513, 6793, 4276, 1063, 1004, 543, 3552, 2831, 563, 27154, 9194, 568, 4742, 606, 5051, 13155, 7613, 269, 1677, 1732, 1174, 1480, 1764, 593, 3662, 3350, 543, 519, 7496, 789, 7237, 267, 5726, 1235, 1590, 7048, 593, 1239, 269, 10439, 1944, 9194, 3270, 3947, 3744, 513, 2070, 883, 9194, 9620, 855, 849, 2636, 3408, 540, 7320, 4027, 3435, 563, 2304, 2502, 267, 2110, 267, 1239, 2861, 17245, 602, 8711, 519, 2956, 540, 11018, 1164, 7779, 267, 15870, 1239, 689, 2831, 547, 2149, 7320, 563, 2171, 9916, 519, 15870, 1239, 689, 1614, 1114, 2516, 540, 2831, 547, 3605, 4277, 3270, 538, 741, 15322, 543, 11507, 269, 634, 14318, 5205, 1614, 3552, 2831, 2443, 19246, 267, 21495, 543, 3552, 324, 2041, 652, 2443, 26500, 741, 2984, 998, 1239, 6394, 689, 741, 15870, 2458, 1513, 563, 4415, 938, 17245, 267, 649, 7866, 741, 6909, 9194, 543, 519, 25031, 812, 13402, 9465, 789, 3068, 538, 741, 1391, 585, 6668, 563, 5629, 649, 22942, 539, 519, 1614, 1114, 2831, 593, 799, 547, 1445, 267, 649, 3459, 609, 24152, 741, 2984, 267, 11516, 4221, 1650, 15236, 267, 543, 8159, 519, 1413, 543, 1745, 540, 519, 27515, 563, 4415, 519, 5351, 540, 4463, 2173, 2355, 543, 9682, 11052, 267, 649, 9903, 730, 519, 3979, 8916, 538, 476, 274, 291, 5196, 799, 649, 28367, 519, 1239, 269, 634, 27515, 1246, 519, 2831, 2066, 519, 8916, 10223, 741, 6074, 11507, 543, 20515, 519, 5079, 3297, 741, 2623, 269, 589, 2319, 540, 5726, 1235, 6035, 741, 6791, 543, 3177, 721, 609, 2796, 547, 891, 1726, 802, 563, 763, 1650, 540, 3509, 4673, 5205, 513, 476, 2918, 4458, 6040, 17707, 2713, 593, 3509, 4673, 681, 21123, 267, 513, 27352, 11262, 267, 6870, 1858, 538, 25157, 269, 4173, 9477, 1239, 6645, 721, 602, 1352, 5781, 2306, 513, 19408, 15385, 936, 513, 19814, 547, 3914, 513, 6070, 3443, 543, 14183, 1200, 6159, 1324, 585, 9770, 563, 306, 8651, 18307, 584, 543, 27223, 616, 1079, 17794, 612, 525, 2713, 538, 1924, 903, 3711, 340, 20271, 3599, 267, 9674, 950, 513, 1007, 20545, 568, 25517, 543, 17337, 741, 8513, 269, 4256, 1239, 9414, 519, 30925, 1063, 519, 2067, 1158, 543, 1480, 6188, 15297, 563, 2171, 13173, 3026, 520, 5622, 593, 1200, 3460, 1282, 519, 1390, 9194, 269, 27405, 13124, 267, 3026, 520, 5622, 3762, 1200, 23636, 543, 26082, 6634, 540, 824, 3552, 324, 2041, 3949, 547, 1178, 2763, 593, 519, 4195, 2250, 999, 538, 519, 590, 699, 978, 564, 328, 269, 634, 1739, 1032, 267, 1352, 556, 14765, 1231, 1200, 23636, 1394, 538, 519, 5087, 563, 2171, 4607, 1239, 6119, 689, 1142, 3662, 5627, 15870, 27897, 1239, 267, 609, 1239, 2798, 26159, 3350, 693, 2834, 11996, 563, 5629, 649, 1185, 6569, 29927, 543, 11410, 565, 730, 1063, 7508, 8100, 267, 649, 9268, 519, 1239, 538, 5124, 547, 5352, 2592, 267, 11708, 543, 7044, 540, 519, 2831, 685, 15322, 563, 4002, 519, 524, 22273, 540, 513, 3460, 602, 779, 2693, 547, 1689, 519, 3068, 540, 519, 2825, 5823, 11014, 563, 763, 3804, 568, 547, 1921, 811, 1004, 609, 519, 3232, 2729, 540, 2831, 543, 6318, 1489, 585, 5726, 3646, 563, 4415, 519, 1318, 7271, 585, 554, 8504, 543, 2502, 519, 5304, 267, 649, 3494, 649, 666, 9062, 519, 1297, 540, 7320, 12439, 1472, 519, 1158, 269, 0, 2419, 4821, 518, 3591, 1208, 18442, 910, 11335, 630, 28158, 264, 27684, 6022, 916, 454, 289, 21392, 1634, 607, 519, 27925, 540, 853, 269, 8834, 267, 932, 4821, 518, 3591, 1208, 18442, 616, 21221, 2249, 602, 2356, 798, 711, 9765, 519, 4463, 540, 476, 273, 332, 269, 1358, 616, 10980, 11259, 267, 6070, 27031, 543, 849, 723, 4187, 547, 11626, 5533, 269, 1358, 616, 5078, 585, 10859, 6879, 12184, 610, 26484, 7158, 269, 1358, 16641, 538, 5210, 689, 910, 736, 11019, 290, 269, 1358, 723, 513, 3500, 2208, 602, 6238, 689, 519, 3844, 17657, 547, 519, 1055, 3333, 334, 1824, 269, 1358, 666, 581, 12630, 14384, 610, 538, 9343, 267, 538, 4224, 10651, 543, 538, 9381, 2127, 269, 14936, 267, 519, 8691, 540, 519, 2030, 568, 2944, 676, 6079, 563, 1103, 938, 21543, 972, 616, 7366, 540, 2371, 609, 2789, 959, 16218, 689, 476, 271, 269, 2004, 17744, 547, 476, 272, 268, 476, 272, 269, 276, 7397, 4463, 17657, 269, 0, 4504, 13656, 17296, 21131, 568, 25623, 1282, 13165, 269, 932, 565, 5028, 25560, 568, 9658, 1540, 676, 536, 716, 324, 1862, 8922, 966, 756, 26369, 26601, 5028, 543, 568, 3743, 585, 519, 1216, 344, 13165, 1310, 26601, 5028, 3968, 269, 11115, 12264, 267, 26601, 5028, 25560, 4679, 29296, 28023, 589, 6573, 267, 799, 13604, 31591, 3940, 32635, 589, 543, 519, 2166, 10973, 27470, 18993, 19830, 2033, 26273, 17296, 8756, 630, 290, 10499, 305, 1916, 4913, 267, 649, 5063, 4857, 606, 15499, 524, 21283, 4211, 320, 3444, 2389, 1779, 15202, 13374, 602, 568, 15748, 676, 15038, 540, 29296, 524, 21283, 543, 13604, 6173, 919, 29296, 6970, 9830, 998, 519, 5385, 3940, 15181, 676, 524, 21283, 630, 22977, 659, 1040, 901, 8343, 5267, 602, 1312, 595, 10499, 305, 543, 7513, 19840, 17300, 17296, 9055, 616, 9072, 540, 11506, 29296, 524, 21283, 15202, 11140, 563, 11997, 267, 649, 616, 4974, 519, 1909, 540, 7513, 19840, 17300, 1849, 9055, 538, 15499, 17296, 21131, 896, 12214, 2175, 543, 1282, 13165, 269, 1284, 616, 849, 8159, 2436, 519, 5063, 4857, 18993, 19830, 2033, 3940, 476, 1626, 1920, 540, 5946, 267, 799, 616, 7513, 19840, 17300, 17296, 9055, 267, 568, 849, 3238, 538, 15499, 17296, 21131, 538, 1840, 547, 519, 1134, 6353, 595, 10499, 305, 8756, 563, 19102, 1078, 1620, 540, 7939, 540, 15499, 1849, 21131, 2488, 519, 2556, 4282, 1344, 585, 519, 1646, 540, 9354, 5061, 585, 519, 2126, 540, 13165, 267, 19228, 543, 2166, 10973, 27470, 269, 634, 6602, 602, 7513, 19840, 17300, 17296, 9055, 616, 3238, 538, 15499, 17296, 21131, 2488, 3606, 9072, 585, 4550, 26817, 1551, 9996, 3075, 1646, 269, 1613, 811, 454, 5353, 4038, 800, 13165, 568, 513, 3056, 2014, 540, 6689, 24896, 543, 9019, 538, 3384, 1293, 337, 1862, 625, 269, 2755, 13165, 666, 581, 5701, 609, 5711, 556, 5139, 1674, 3070, 630, 27633, 1070, 10014, 540, 13058, 609, 5711, 10758, 306, 814, 1044, 3254, 547, 2569, 519, 8653, 540, 13165, 269, 1717, 267, 875, 13058, 10607, 13165, 568, 711, 1634, 563, 2005, 814, 1044, 3254, 602, 13058, 6411, 607, 606, 15499, 25853, 1591, 1666, 565, 8632, 11379, 8756, 3625, 518, 540, 28023, 589, 6573, 24975, 17296, 21131, 269, 1284, 4362, 602, 13058, 849, 22262, 15499, 9770, 543, 1216, 10338, 3842, 519, 25853, 10878, 26260, 9401, 9734, 267, 715, 4047, 274, 269, 2098, 4532, 10941, 525, 519, 1198, 540, 28023, 589, 6573, 22629, 540, 715, 4047, 274, 2534, 269, 634, 1198, 540, 13058, 593, 715, 4047, 274, 3112, 581, 5918, 6088, 609, 824, 546, 20884, 4496, 12274, 269, 898, 814, 1044, 1134, 3964, 602, 10878, 26260, 9401, 9734, 9431, 5946, 616, 3238, 538, 715, 4047, 274, 7939, 563, 15371, 891, 9431, 5946, 616, 3238, 538, 13058, 14242, 540, 715, 4047, 274, 568, 513, 1445, 540, 938, 1353, 269, 3776, 3804, 568, 547, 7866, 6127, 547, 2491, 875, 13058, 10607, 13165, 543, 547, 1174, 519, 1909, 540, 13058, 538, 6070, 543, 1216, 27921, 538, 519, 8937, 269, 3776, 1353, 786, 1683, 513, 3621, 4493, 547, 17854, 519, 10014, 540, 13058, 538, 10758, 306, 585, 519, 2126, 540, 5728, 800, 13165, 269, 1613, 811, 454, 12867, 538, 519, 22956, 2098, 778, 657, 6997, 960, 547, 1174, 7648, 538, 3940, 19338, 555, 320, 1862, 339, 2049, 1282, 2619, 19398, 8344, 2175, 602, 2014, 9357, 543, 1216, 3560, 602, 1267, 538, 13165, 269, 1284, 5063, 4857, 513, 804, 987, 12541, 23949, 8817, 1439, 7514, 6776, 13374, 3743, 585, 11506, 29296, 7513, 24975, 22629, 540, 715, 4047, 274, 2534, 538, 15499, 25853, 2281, 269, 1284, 946, 4359, 9196, 2553, 267, 1519, 1476, 5914, 543, 3818, 14428, 582, 517, 22794, 267, 547, 21656, 3940, 19338, 540, 15499, 1098, 1602, 1562, 269, 1284, 849, 1685, 6198, 29508, 1210, 24638, 28525, 630, 7806, 328, 6248, 543, 1875, 268, 7806, 328, 6248, 264, 547, 2268, 9357, 3560, 538, 1591, 2528, 3631, 267, 16856, 15499, 8031, 543, 1480, 1507, 15499, 4283, 6950, 269, 1613, 811, 0, 29445, 15776, 12340, 10660, 1229, 3182, 3645, 454, 18080, 19761, 538, 519, 2136, 2276, 269, 18004, 538, 4789, 538, 476, 9264, 272, 607, 8361, 454, 290, 6621, 267, 646, 4682, 547, 960, 607, 606, 23678, 591, 585, 519, 16503, 3603, 5507, 454, 21158, 1282, 922, 15713, 1032, 540, 476, 7277, 273, 269, 2991, 7836, 3670, 1296, 972, 267, 646, 6294, 3603, 538, 476, 7277, 279, 547, 519, 454, 18197, 2276, 267, 1141, 646, 5249, 5702, 609, 623, 269, 570, 269, 4446, 11133, 585, 1896, 454, 5475, 1373, 3238, 538, 824, 454, 650, 755, 3603, 11356, 26136, 538, 519, 2038, 476, 6977, 271, 779, 267, 15776, 12340, 630, 15367, 454, 5586, 958, 7550, 1010, 4050, 2012, 264, 3323, 7671, 15776, 12340, 781, 16503, 3603, 454, 25582, 569, 593, 5412, 476, 1428 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10932, 8668, 779, 642, 291, 3201, 630, 24058, 1436, 543, 4578, 5811, 12524, 1070, 3884, 1406, 1152, 513, 1747, 585, 3695, 1114, 19178, 609, 707, 1382, 609, 15283, 267, 855, 513, 1259, 547, 1449, 856, 3113, 1227, 14021, 1382, 563, 300, 9222, 9995, 15772, 9986, 643, 2946, 267, 513, 12854, 2875, 538, 519, 3427, 540, 8950, 3163, 568, 2679, 513, 1007, 1617, 574, 27567, 5872, 11837, 5943, 585, 476, 274, 291, 1843, 12879, 1369, 519, 5691, 4641, 630, 23623, 264, 7706, 563, 5445, 1031, 519, 12242, 715, 4668, 8656, 476, 10482, 271, 23621, 12449, 6486, 538, 519, 642, 291, 3201, 779, 960, 23667, 547, 1449, 741, 5943, 267, 799, 3091, 2789, 3527, 585, 9013, 476, 274, 291, 14449, 593, 18376, 14044, 2037, 4921, 3850, 12427, 547, 1685, 2789, 2238, 693, 2899, 563, 2690, 1383, 267, 538, 519, 2592, 1657, 267, 519, 3593, 666, 8195, 1847, 519, 642, 2135, 1564, 540, 519, 476, 274, 291, 1843, 543, 2824, 513, 15839, 540, 519, 10471, 8268, 543, 1847, 621, 607, 1134, 547, 17967, 519, 3593, 8254, 547, 1294, 519, 1732, 5086, 585, 3408, 563, 2252, 596, 1131, 899, 547, 946, 519, 642, 291, 3201, 779, 960, 23667, 585, 3113, 1227, 14021, 7384, 267, 547, 2119, 938, 15283, 6703, 267, 610, 723, 513, 2489, 642, 291, 3201, 679, 11431, 267, 3346, 3194, 8668, 610, 26056, 8381, 32024, 269, 0, 14112, 2626, 585, 17169, 540, 7507, 950, 4906, 729, 4535, 912, 20606, 639, 19332, 729, 519, 17169, 540, 7507, 950, 4906, 729, 4535, 269, 1261, 12199, 689, 476, 2767, 7460, 2394, 1010, 2669, 538, 5084, 476, 1691, 543, 568, 1634, 585, 8744, 4708, 543, 6617, 547, 4936, 2486, 267, 15713, 519, 10504, 267, 543, 9591, 513, 1974, 540, 13884, 5219, 547, 607, 519, 623, 1314, 4936, 320, 563, 8139, 519, 10020, 540, 519, 14890, 538, 9147, 7507, 4438, 4906, 685, 17510, 454, 763, 4936, 7276, 729, 835, 540, 519, 1034, 3532, 543, 9565, 12977, 538, 1686, 267, 609, 513, 1950, 1062, 540, 10350, 602, 5129, 513, 11358, 1909, 538, 5935, 1082, 3344, 540, 2486, 269, 2311, 519, 2295, 540, 713, 1062, 2893, 519, 14890, 267, 945, 4371, 18678, 6392, 936, 782, 2127, 540, 1272, 689, 6214, 547, 4984, 269, 1809, 1018, 729, 519, 1909, 540, 713, 28430, 4137, 1282, 4906, 685, 4332, 286, 2913, 779, 1491, 513, 6251, 1413, 563, 7628, 4906, 685, 4332, 267, 31217, 19332, 12199, 607, 14890, 630, 516, 11220, 476, 2767, 7460, 1107, 476, 1691, 5084, 1070, 2348, 15110, 1379, 689, 25840, 19332, 1310, 1010, 26923, 930, 1296, 4505, 269, 898, 568, 4502, 15663, 602, 3504, 7507, 4718, 900, 30752, 607, 811, 982, 6071, 2797, 3401, 282, 789, 941, 849, 2808, 10859, 1673, 643, 710, 5515, 28429, 7060, 3564, 1346, 6488, 539, 547, 1022, 824, 1480, 1373, 563, 2026, 971, 267, 31217, 1185, 1713, 3310, 711, 1152, 593, 2797, 6927, 855, 849, 3909, 3283, 1107, 646, 1223, 581, 9763, 607, 1312, 533, 2632, 1057, 343, 12366, 639, 630, 27815, 17308, 264, 543, 17169, 256, 769, 1840, 547, 4180, 6617, 1369, 7507, 3294, 267, 646, 729, 25461, 609, 9750, 922, 10665, 676, 4108, 9518, 3949, 543, 19597, 908, 922, 1379, 2066, 2342, 543, 5607, 19724, 563, 3080, 3815, 602, 8329, 3648, 547, 31217, 685, 1764, 593, 2486, 729, 1010, 3466, 23293, 2470, 269, 1261, 8045, 1896, 15024, 6322, 693, 2413, 1944, 1585, 3344, 540, 4936, 1272, 543, 2528, 998, 1876, 14708, 267, 5989, 20671, 7341, 610, 9283, 899, 22058, 908, 5656, 585, 1148, 2982, 1141, 6932, 5159, 10268, 741, 1568, 1247, 1565, 1898, 1983, 693, 1857, 13258, 2336, 2691, 4906, 729, 4535, 1282, 31217, 779, 12081, 267, 621, 568, 5156, 602, 1082, 6014, 1004, 941, 24584, 606, 3618, 569, 4622, 547, 5391, 4733, 873, 689, 4936, 4341, 269, 1717, 267, 5103, 11319, 1394, 1996, 25384, 2853, 1991, 547, 14291, 896, 1200, 9393, 19693, 3780, 594, 685, 11689, 2358, 1198, 2826, 2335, 807, 1500, 8567, 1256, 811, 13267, 950, 6368, 5189, 1916, 20606, 639, 11074, 2110, 540, 30418, 5128, 10143, 4849, 1310, 2669, 268, 865, 1705, 711, 2015, 5128, 968, 577, 4923, 892, 538, 3833, 519, 1482, 1259, 10271, 9763, 606, 31212, 1268, 1137, 1519, 2441, 19985, 4352, 646, 10150, 15038, 3842, 19101, 25976, 676, 21597, 609, 25840, 19332, 543, 519, 966, 4115, 28155, 538, 5084, 476, 280, 7152, 1010, 1522, 865, 1379, 2685, 602, 2663, 2506, 30752, 5433, 789, 11338, 2877, 547, 1118, 6811, 713, 10143, 4567, 6273, 4984, 2147, 1079, 27453, 3262, 936, 11335, 2823, 4872, 2221, 563, 20606, 639, 568, 513, 1915, 538, 1686, 9976, 585, 1082, 1919, 267, 1519, 1010, 5075, 540, 513, 2178, 4936, 7276, 269, 1717, 267, 621, 779, 1898, 547, 4063, 602, 646, 729, 711, 1863, 540, 15784, 281, 972, 941, 25197, 725, 540, 28112, 15967, 1282, 930, 2694, 540, 1010, 12081, 338, 1813, 547, 2799, 3844, 1436, 1472, 1612, 3547, 610, 3006, 18731, 5126, 1949, 607, 4749, 4523, 1141, 3401, 3668, 23388, 6127, 3177, 11974, 7146, 28394, 1734, 630, 322, 761, 2294, 1279, 1354, 7557, 807, 767, 2993, 779, 13584, 30155, 1103, 3932, 267, 1620, 519, 1909, 540, 31217, 19332, 543, 900, 30752, 899, 1864, 1282, 4906, 685, 4332, 4422, 3564, 1175, 2797, 5718, 269, 1452, 5515, 685, 10427, 3909, 4978, 13615, 1927, 13919, 543, 31544, 4145, 282, 741, 4050, 31008, 585, 15024, 2413, 1242, 1884, 1172, 730, 5238, 14304, 5638, 268, 15209, 4390, 1247, 2679, 5989, 3785, 1869, 7555, 2221, 256, 5015, 267, 741, 5717, 827, 3056, 971, 606, 27763, 10504, 6923, 19430, 10124, 538, 4610, 8151, 689, 25852, 547, 4702, 269, 2755, 454, 3721, 8386, 28157, 6651, 547, 4804, 6168, 519, 14890, 540, 7507, 1879, 4906, 12984, 18004, 454, 763, 1686, 540, 519, 14890, 540, 7507, 693, 519, 942, 950, 4906, 729, 4535, 568, 4241, 543, 1950, 269, 4197, 713, 1974, 3340, 513, 2620, 4685, 883, 4936, 2486, 267, 6214, 267, 4984, 267, 543, 2528, 269, 1403, 596, 2461, 5461, 538, 1565, 827, 519, 5736, 602, 8032, 8567, 779, 2038, 2395, 267, 1934, 779, 513, 1900, 8386, 9912, 3391, 547, 1205, 3323, 563, 3721, 476, 272, 281, 31385, 31217, 19332, 454, 20606, 639, 19332, 729, 519, 1101, 17169, 540, 7507, 945, 3357, 883, 1379, 538, 476, 2767, 7460, 543, 12199, 585, 936, 17288, 1296, 2394, 1010, 2669, 538, 5084, 476, 1691, 269, 1261, 729, 4922, 2938, 607, 513, 1390, 32063, 543, 26080, 6963, 518, 585, 1010, 5075, 547, 11689, 1047, 4936, 6214, 1310, 5756, 540, 3540, 1193, 1057, 269, 1717, 267, 646, 13684, 1065, 4809, 4031, 593, 2021, 547, 1852, 741, 7180, 1247, 8195, 5009, 7365, 607, 2556, 547, 5818, 1126, 321, 8960, 3928, 269, 1306, 971, 8906, 1419, 1711, 15784, 1472, 1864, 1373, 2111, 547, 3180, 4008, 7862, 16431, 649, 1294, 1256, 2221, 563, 1607, 957, 729, 11911, 609, 19620, 3504, 3909, 2853, 10704, 593, 1920, 2418, 799, 1131, 979, 1688, 2987, 11804, 609, 1022, 4998, 2065, 2048, 22146, 21644, 685, 789, 1522, 723, 2322, 4464, 4586, 3891, 20827, 1082, 1713, 2679, 3785, 610, 3964, 12205, 899, 623, 1314, 4936, 320, 630, 31718, 4708, 1070, 799, 2813, 6617, 2429, 2342, 1282, 1034, 540, 922, 12081, 338, 1813, 7361, 1317, 621, 21490, 519, 1259, 2509, 606, 7269, 626, 6497, 1275, 1141, 14564, 4718, 2933, 8744, 1876, 1299, 1931, 2066, 7239, 3564, 7977, 563, 1103, 3829, 1382, 883, 31217, 786, 1397, 835, 875, 646, 1134, 22412, 730, 1312, 18523, 4656, 2864, 982, 3850, 9003, 18211, 7095, 31794, 1379, 3079, 998, 1857, 4159, 3889, 1519, 15473, 543, 7843, 1255, 6131, 711, 1175, 10493, 1014, 10971, 855, 849, 1455, 619, 1932, 269, 4168, 27685, 1235, 5156, 1004, 782, 3838, 3160, 1871, 689, 1367, 4222, 4061, 741, 1761, 2078, 4824, 676, 18497, 7589, 1107, 634, 1930, 5872, 609, 4948, 2043, 4847, 891, 15156, 606, 4316, 585, 4687, 1946, 2648, 829, 341, 12184, 25678, 2390, 19169, 21349, 2696, 4805, 14828, 18163, 1272, 31083, 611, 12976, 29063, 6411, 2443, 28717, 1746, 835, 2146, 2861, 3597, 5127, 13702, 3889, 563, 3721, 476, 273, 281, 31692, 880, 9737, 623, 12298, 1143, 543, 8567, 454, 4263, 519, 942, 540, 4906, 779, 4332, 267, 3504, 4936, 2486, 1185, 1279, 13736, 1918, 2065, 10764, 543, 4874, 1492, 1143, 269, 8567, 729, 2938, 607, 513, 1007, 1523, 602, 12219, 547, 16765, 1248, 3964, 4936, 4978, 267, 1818, 621, 606, 2653, 3077, 585, 20655, 634, 20185, 602, 13794, 540, 2441, 4951, 1582, 1606, 659, 337, 12715, 4448, 1946, 789, 5156, 538, 17706, 12371, 609, 741, 30256, 2864, 982, 16550, 873, 883, 19169, 1739, 513, 4984, 899, 865, 1082, 824, 4980, 338, 11342, 693, 713, 942, 563, 305, 30689, 4371, 5784, 4478, 1514, 17478, 282, 623, 12298, 626, 21071, 941, 711, 4847, 2407, 15114, 2924, 610, 1256, 11401, 1369, 4884, 7740, 952, 1336, 9117, 6309, 3373, 2390, 10751, 1152, 2016, 2669, 4845, 10355, 5950, 538, 27171, 547, 1018, 10271, 13736, 268, 19807, 1373, 835, 3844, 1871, 740, 22363, 4724, 7303, 21440, 689, 31328, 2417, 2870, 1507, 22836, 1141, 1689, 1223, 16036, 1996, 782, 12918, 909, 18988, 676, 11146, 1299, 16593, 21349, 1866, 6368, 563, 3721, 476, 274, 281, 21302, 570, 9200, 3780, 685, 1234, 793, 454, 307, 9200, 3780, 556, 11220, 689, 5084, 476, 1691, 2394, 1010, 27757, 538, 5084, 476, 4391, 1310, 31217, 19332, 5747, 269, 3571, 26022, 4718, 6404, 6547, 1317, 646, 729, 9444, 607, 1347, 29487, 6862, 607, 6131, 547, 6963, 3292, 3379, 609, 14890, 454, 21761, 18542, 5999, 6168, 519, 14890, 540, 7507, 4438, 4906, 685, 17510, 454, 763, 1974, 4478, 519, 4332, 540, 4906, 2441, 729, 513, 1713, 942, 538, 1158, 1686, 267, 609, 1896, 2621, 543, 14789, 5935, 519, 1576, 540, 1480, 10340, 269, 2290, 971, 3532, 7209, 1282, 602, 5736, 729, 14890, 31217, 267, 945, 12199, 936, 7507, 689, 476, 2767, 7460, 547, 476, 1691, 5084, 563, 10387, 10132, 31217, 568, 1419, 5018, 538, 519, 19978, 2272, 540, 4906, 685, 4332, 267, 3226, 607, 646, 9783, 513, 31885, 585, 782, 4961, 540, 7507, 547, 581, 10805, 538, 741, 18577, 554, 2210, 12495, 269, 901, 3366, 9478, 543, 6307, 547, 2951, 689, 9294, 732, 628, 547, 21861, 548, 1335, 267, 16180, 519, 28897, 602, 4906, 1131, 581, 4535, 972, 563, 2080, 616, 930, 4749, 4280, 2055, 827, 14890, 31217, 543, 1010, 1909, 1282, 4906, 685, 4332, 912, 272, 264, 5808, 729, 14890, 31217, 888, 20606, 639, 630, 9799, 717, 2967, 639, 4239, 822, 3780, 774, 584, 19434, 264, 729, 519, 1101, 4936, 17169, 267, 12021, 585, 19597, 908, 1379, 543, 9591, 6617, 1310, 1296, 540, 2797, 24187, 269, 1261, 6963, 539, 519, 4108, 267, 4824, 5989, 267, 9450, 11182, 267, 9415, 6575, 543, 3332, 267, 543, 15469, 1857, 26069, 998, 9086, 269, 3571, 12081, 568, 2808, 513, 11344, 2085, 538, 4936, 1686, 563, 273, 264, 4208, 1705, 646, 3390, 513, 14829, 610, 14261, 31885, 888, 305, 727, 2877, 606, 4977, 1293, 540, 922, 4961, 585, 21259, 5301, 543, 4509, 1931, 1369, 922, 5318, 10504, 269, 589, 14829, 849, 5280, 2697, 14718, 2367, 585, 931, 5524, 883, 4108, 3028, 1107, 2629, 585, 21108, 1996, 4914, 28164, 610, 1139, 7675, 15148, 1206, 676, 29832, 745, 660, 1194, 5396, 269, 769, 713, 2013, 11836, 1927, 7225, 20660, 609, 16850, 2838, 811, 1808, 1239, 593, 1004, 3350, 982, 621, 1131, 952, 16850, 1185, 1044, 5094, 2197, 454, 274, 264, 9894, 6307, 2285, 4332, 693, 606, 7961, 607, 4122, 17814, 888, 763, 6426, 1281, 711, 2446, 968, 4883, 2223, 855, 2864, 2829, 602, 6307, 5795, 4332, 538, 513, 7123, 11721, 29623, 512, 893, 1317, 1100, 968, 3336, 892, 630, 330, 7614, 6373, 264, 1223, 581, 1336, 693, 1200, 1920, 779, 16823, 20453, 9638, 321, 286, 1916, 275, 264, 1215, 1705, 14890, 31217, 4431, 950, 646, 4862, 827, 3751, 4173, 617, 779, 1544, 547, 6146, 12256, 888, 21914, 4173, 617, 21787, 9561, 1010, 17599, 1813, 547, 32422, 827, 519, 4332, 540, 513, 968, 6362, 540, 519, 7642, 1848, 1261, 10288, 782, 5256, 12256, 538, 21861, 548, 1335, 896, 2085, 1079, 547, 581, 7166, 269, 31217, 267, 945, 729, 3222, 540, 4173, 617, 779, 28877, 543, 1612, 8457, 807, 267, 28020, 6376, 539, 267, 968, 296, 8910, 2864, 581, 4173, 617, 779, 6477, 982, 1010, 5067, 2223, 630, 26238, 14918, 941, 2808, 11515, 534, 1040, 901, 5267, 602, 5103, 1373, 606, 17169, 5128, 1634, 585, 678, 3578, 1652, 12485, 646, 1185, 930, 2543, 585, 1480, 1272, 563, 276, 264, 9894, 14890, 31217, 2479, 2743, 610, 7237, 4906, 888, 2467, 568, 1100, 3140, 2963, 602, 31217, 1558, 4906, 1282, 3571, 10715, 607, 2441, 1705, 711, 2408 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2666, 14132, 267, 3478, 6151, 5779, 547, 519, 2922, 5934, 4835, 2837, 666, 1118, 610, 2736, 707, 7594, 269, 2422, 713, 1863, 5779, 2837, 5986, 5750, 543, 3391, 547, 2638, 519, 4110, 540, 1810, 8864, 585, 1022, 2759, 540, 5779, 543, 2760, 2034, 7058, 4835, 5210, 1586, 2336, 30022, 32522, 910, 7305, 540, 12937, 454, 10666, 713, 5779, 2837, 3391, 454, 1805, 641, 2034, 27378, 707, 11477, 1983, 543, 21592, 707, 5986, 23258, 525, 609, 713, 3102, 3391, 547, 5779, 5210, 269, 769, 713, 2241, 5850, 596, 786, 3605, 519, 3501, 1810, 8864, 585, 1169, 2759, 540, 5779, 1107, 689, 521, 11170, 1782, 2848, 6545, 543, 13035, 887, 6814, 547, 30362, 9269, 610, 30861, 2666, 16469, 543, 1256, 2451, 13569, 1107, 4180, 13035, 267, 8949, 569, 29316, 267, 9985, 11273, 2164, 1169, 2582, 942, 2336, 3963, 946, 513, 5779, 2837, 5986, 5750, 888, 5591, 2339, 519, 1505, 540, 5986, 610, 519, 11600, 596, 616, 1818, 267, 835, 3364, 9338, 310, 17751, 306, 6585, 3020, 281, 3478, 707, 5779, 547, 519, 1697, 2837, 568, 2629, 563, 21093, 519, 4835, 2837, 2953, 568, 4105, 585, 1079, 4128, 912, 268, 5253, 8881, 269, 8555, 704, 569, 11273, 16469, 666, 2014, 1426, 13871, 4576, 563, 268, 5253, 17949, 1464, 269, 1703, 779, 513, 7372, 2972, 1464, 3017, 1063, 513, 10416, 3613, 650, 2173, 5622, 532, 2759, 540, 2848, 752, 630, 3863, 1070, 513, 30861, 4062, 540, 2848, 752, 630, 4364, 1756, 4686, 1070, 543, 513, 9157, 2848, 752, 630, 6202, 2944, 1040, 18833, 5210, 540, 1810, 8864, 786, 948, 2327, 596, 616, 5986, 16469, 7157, 563, 2467, 616, 1614, 2596, 3268, 547, 4180, 707, 16469, 267, 20230, 267, 16738, 267, 543, 16872, 616, 11273, 547, 519, 3501, 4110, 540, 1810, 8864, 912, 268, 3689, 267, 596, 1590, 917, 519, 2922, 543, 2953, 5232, 540, 1810, 8864, 585, 1114, 16469, 563, 268, 5822, 267, 596, 991, 547, 917, 875, 547, 946, 513, 5779, 26282, 16785, 5265, 563, 268, 1656, 2063, 569, 267, 596, 3580, 991, 547, 1577, 519, 5779, 1964, 1354, 14253, 532, 543, 7674, 563, 6524, 649, 1205, 883, 2837, 4808, 543, 519, 5779, 2837, 5750, 267, 596, 991, 547, 1174, 519, 2495, 540, 968, 18484, 8864, 6100, 634, 2165, 1810, 8864, 5673, 2390, 2436, 519, 5986, 1505, 3096, 3819, 3002, 610, 5848, 3002, 563, 763, 2474, 5848, 3002, 5986, 543, 3819, 3002, 5986, 3277, 547, 519, 1259, 538, 799, 3002, 568, 11843, 689, 519, 2707, 547, 519, 1426, 563, 27770, 626, 3002, 5986, 2409, 1331, 31652, 532, 267, 2848, 5446, 267, 2909, 2358, 267, 543, 1022, 1505, 1141, 519, 1426, 1587, 568, 11303, 676, 7509, 269, 1452, 2409, 616, 1034, 5078, 585, 1279, 267, 3500, 5986, 563, 291, 787, 3002, 5986, 2409, 1331, 887, 8463, 267, 1989, 3739, 267, 5982, 630, 6193, 992, 1511, 1070, 543, 4376, 1505, 1141, 519, 1426, 1587, 568, 1641, 547, 3819, 2011, 269, 16959, 3002, 5986, 568, 1034, 5078, 585, 2110, 267, 2656, 5986, 563, 268, 16959, 14333, 281, 29133, 568, 968, 323, 821, 892, 950, 519, 5946, 3914, 513, 5551, 4110, 540, 30243, 1637, 607, 8612, 676, 4835, 2837, 563, 268, 7720, 626, 14333, 281, 29133, 568, 968, 323, 821, 892, 950, 519, 24561, 8031, 616, 7745, 1524, 2614, 585, 519, 5779, 547, 581, 5493, 23534, 269, 15380, 267, 5779, 11273, 1210, 5848, 3002, 568, 1134, 2944, 267, 4352, 972, 616, 513, 1906, 17756, 563, 21995, 3652, 585, 1426, 3106, 543, 5779, 1661, 1186, 454, 15371, 596, 616, 513, 19444, 538, 519, 10051, 610, 513, 1753, 27697, 27423, 267, 1210, 513, 5779, 26282, 568, 2629, 547, 1426, 3106, 269, 594, 1611, 267, 952, 596, 1810, 1406, 917, 875, 547, 946, 519, 26282, 16785, 7157, 267, 513, 5986, 5779, 2837, 5750, 568, 7168, 24631, 563, 4407, 972, 616, 513, 1906, 2081, 547, 2995, 952, 1426, 568, 2944, 5986, 267, 519, 1034, 4977, 1259, 547, 1449, 519, 9703, 1810, 8864, 540, 16469, 568, 609, 513, 26282, 269, 1703, 616, 1079, 8677, 540, 5687, 18852, 912, 268, 9208, 5687, 18852, 616, 17332, 883, 519, 1426, 1354, 887, 8463, 543, 2451, 538, 519, 887, 770, 1247, 5986, 454, 268, 2382, 656, 22345, 5687, 18852, 616, 17332, 883, 1426, 693, 1022, 942, 267, 1224, 607, 4166, 607, 519, 13549, 13515, 3001, 267, 543, 6569, 689, 519, 1426, 563, 32381, 540, 519, 26282, 596, 946, 538, 519, 10051, 267, 596, 3580, 1616, 547, 1118, 2386, 621, 568, 5265, 19345, 543, 24846, 1242, 1354, 1210, 563, 1692, 547, 946, 513, 26282, 454, 6524, 596, 979, 533, 3183, 513, 26282, 883, 1585, 3536, 267, 1577, 779, 2689, 930, 2489, 3652, 585, 5265, 1210, 513, 26282, 547, 10917, 1426, 563, 268, 11162, 26282, 281, 1677, 2057, 3444, 12526, 543, 1426, 25645, 10108, 267, 707, 26282, 1590, 581, 5265, 19345, 609, 12853, 543, 1216, 1354, 630, 663, 1310, 14386, 1210, 563, 268, 26457, 10309, 4087, 281, 589, 2489, 4341, 950, 1210, 707, 26282, 568, 547, 7696, 621, 883, 519, 4099, 540, 519, 5394, 652, 851, 540, 519, 5779, 269, 1684, 711, 1577, 519, 26282, 5905, 513, 5642, 267, 3170, 267, 610, 979, 998, 519, 5779, 607, 713, 786, 2014, 25619, 13220, 563, 268, 2836, 2320, 622, 26282, 5781, 281, 1280, 6099, 2164, 267, 596, 3580, 991, 547, 2638, 519, 6111, 540, 707, 26282, 593, 513, 2834, 4493, 269, 1677, 2638, 519, 8856, 540, 707, 26282, 267, 6445, 513, 1804, 4837, 782, 519, 1259, 909, 609, 4672, 1216, 269, 3973, 267, 21477, 613, 707, 26282, 543, 1224, 519, 4159, 269, 589, 5265, 26215, 730, 26282, 786, 27861, 476, 3953, 5232, 563, 268, 19940, 5017, 281, 952, 887, 8463, 513, 2898, 21429, 610, 9269, 267, 1118, 2386, 596, 2638, 519, 4835, 10917, 519, 6177, 676, 29780, 519, 26282, 883, 519, 5394, 652, 851, 540, 519, 25427, 6730, 6089, 563, 268, 853, 4428, 539, 16469, 281, 1403, 596, 2461, 5986, 513, 5779, 602, 568, 28077, 267, 899, 513, 21429, 678, 9567, 1228, 267, 2638, 519, 2837, 538, 519, 4099, 540, 519, 8631, 532, 607, 1134, 607, 519, 4099, 540, 519, 5779, 563, 9288, 520, 10917, 4808, 454, 9288, 520, 2837, 4808, 616, 519, 5227, 4835, 5210, 950, 5986, 16469, 269, 1809, 1934, 779, 1141, 1919, 1205, 4277, 281, 972, 616, 8795, 2837, 4808, 585, 5986, 16469, 281, 519, 772, 2529, 269, 4972, 540, 11982, 4808, 630, 4785, 6395, 264, 543, 9053, 13962, 4808, 563, 2252, 596, 1413, 693, 519, 22340, 5934, 4835, 2837, 4808, 267, 596, 3580, 1294, 789, 4363, 5986, 3536, 547, 513, 1454, 2362, 2837, 982, 513, 4258, 325, 1131, 269, 634, 22340, 15565, 5986, 782, 14132, 267, 20230, 267, 543, 23758, 547, 513, 2837, 540, 693, 2547, 476, 13970, 1673, 1122, 4181, 18278, 1107, 713, 2837, 568, 883, 519, 5420, 547, 5420, 2914, 749, 2039, 269, 1656, 267, 594, 1810, 1406, 917, 827, 596, 267, 855, 594, 1931, 1250, 2848, 752, 5420, 268, 571, 516, 630, 9873, 1673, 1122, 4181, 1916, 763, 22340, 15565, 2362, 5210, 547, 1404, 621, 2922, 543, 2327, 1426, 3106, 2066, 519, 4604, 269, 4256, 5779, 2837, 3391, 3515, 616, 2966, 865, 602, 3025, 1107, 689, 519, 3276, 3455, 1166, 23124, 693, 5062, 3887, 11546, 324, 779, 547, 519, 30497, 1753, 3434, 1107, 666, 1174, 1426, 3106, 563, 1103, 4156, 5210, 585, 16469, 454, 19350, 596, 3580, 1265, 519, 22340, 4808, 543, 6093, 13962, 5210, 585, 5986, 1585, 3536, 269, 7490, 4063, 602, 782, 5210, 7396, 616, 1354, 16889, 519, 5779, 563, 9288, 520, 2837, 585, 16738, 630, 577, 1157, 523, 267, 21868, 267, 543, 21429, 994, 15371, 5986, 9269, 12209, 267, 4158, 5779, 25427, 338, 267, 3043, 5779, 9269, 28244, 267, 610, 513, 2898, 21429, 267, 2630, 616, 519, 2922, 5210, 5227, 950, 5986, 16738, 912, 268, 31777, 656, 281, 476, 8182, 1673, 1122, 4181, 630, 29592, 16889, 994, 268, 22340, 281, 476, 13679, 1673, 1122, 4181, 630, 29592, 16889, 994, 290, 10541, 5779, 10917, 585, 14132, 267, 23758, 267, 543, 1654, 531, 454, 5804, 10775, 4064, 543, 10775, 887, 6814, 547, 1654, 531, 2759, 7410, 543, 23758, 669, 3591, 267, 2630, 616, 519, 5934, 2922, 4835, 5210, 585, 5779, 912, 268, 31777, 656, 630, 29592, 16889, 994, 268, 27824, 281, 476, 6344, 268, 10219, 5232, 454, 268, 23839, 7304, 732, 281, 476, 9873, 268, 13670, 5232, 454, 268, 23839, 281, 476, 9610, 268, 13970, 5232, 454, 268, 23839, 8862, 749, 281, 476, 5611, 268, 14028, 5232, 454, 268, 4270, 1673, 821, 281, 476, 8182, 268, 13679, 5232, 454, 268, 22340, 281, 476, 13970, 1673, 1122, 4181, 630, 29592, 16889, 994, 10673, 8864, 2837, 585, 20230, 454, 32381, 952, 596, 2461, 5986, 20230, 669, 3591, 267, 20230, 13035, 5979, 1231, 267, 610, 513, 9702, 8423, 267, 2630, 596, 3580, 1265, 519, 5227, 4835, 5210, 585, 782, 2010, 540, 20230, 912, 268, 31777, 656, 281, 1063, 476, 15946, 268, 9610, 5232, 630, 29592, 16889, 994, 268, 22340, 281, 476, 13970, 1673, 1122, 4181, 630, 29592, 16889, 994, 290, 10541, 2837, 585, 2666, 16469, 543, 30725, 1137, 630, 7921, 619, 267, 5779, 5979, 2378, 267, 543, 811, 994, 32381, 540, 952, 596, 2461, 5986, 9269, 5779, 27750, 267, 14132, 5779, 27750, 267, 610, 707, 1989, 15967, 779, 5779, 5979, 2378, 267, 2630, 616, 519, 5227, 4835, 5210, 585, 2666, 5779, 563, 295, 8582, 14110, 2207, 267, 5225, 4063, 267, 14060, 3335, 20836, 2898, 11912, 630, 3697, 2848, 6545, 264, 883, 2666, 5779, 1107, 538, 2777, 269, 1403, 596, 616, 849, 8860, 16469, 693, 1753, 267, 596, 666, 1246, 519, 13962, 4808, 543, 10372, 269, 1809, 267, 952, 596, 6718, 707, 2666, 16469, 693, 519, 4558, 267, 596, 3580, 991, 547, 1246, 519, 22340, 16252, 538, 519, 5779, 2837, 3391, 563, 268, 31777, 656, 630, 29592, 16889, 994, 268, 27824, 281, 476, 12893, 1673, 1122, 4181, 454, 268, 23839, 7304, 732, 281, 476, 10219, 268, 9873, 1673, 1122, 4181, 454, 268, 23839, 281, 476, 9610, 1673, 1122, 4181, 454, 268, 23839, 8862, 749, 281, 476, 5611, 1673, 1122, 4181, 454, 268, 4270, 1673, 821, 281, 476, 8182, 1673, 1122, 4181, 454, 268, 22340, 281, 476, 8182, 1673, 1122, 4181, 630, 29592, 16889, 994, 307, 17687, 585, 11273, 16872, 630, 8127, 543, 32729, 994, 2252, 596, 2461, 5986, 4376, 689, 519, 4262, 1107, 689, 13687, 543, 1085, 718, 3591, 547, 26029, 543, 10981, 9094, 1107, 596, 3580, 1616, 547, 693, 2547, 3434, 519, 16872, 2394, 519, 5779, 568, 32630, 538, 2681, 269, 12989, 616, 519, 5227, 2837, 4808, 950, 5986, 3165, 543, 32729, 563, 268, 31777, 656, 281, 2630, 476, 9610, 1673, 1122, 4181, 267, 23295, 6251, 547, 519, 476, 10219, 24266, 1665, 563, 268, 22340, 281, 476, 13970, 1673, 1122, 4181, 454, 10673, 8864, 10917, 585, 24667, 908, 2451, 13569, 267, 22101, 518, 3421, 267, 543, 4212, 8286, 454, 296, 337, 2958, 14177, 540, 952, 596, 2461, 1818, 513, 22101, 518, 1961, 630, 3697, 7064, 15130, 8631, 532, 610, 1490, 639, 17632, 1989, 11294, 1070, 4212, 8286, 630, 3697, 513, 535, 761, 339, 1092, 267, 844, 7865, 267, 543, 4212, 31324, 267, 24667, 908, 31629, 9269, 6089, 267, 610, 8022, 909, 513, 5423, 1426, 6221, 267, 596, 3580, 1616, 547, 1246, 519, 5227, 8022, 5528, 543, 519, 5934, 5210, 689, 519, 5779, 3434, 10917, 5750, 2630, 563, 268, 31777, 1218, 281, 476, 8182, 1673, 1122, 4181, 454, 268, 22340, 281, 476, 8182, 1673, 1122, 4181, 454, 290, 817, 518, 3421, 543, 2451, 13569, 454, 268, 22340, 281, 476, 13679, 1673, 1122, 4181, 454, 305, 20535, 5779, 1310, 5986, 454, 5475, 596, 4076, 1031, 519, 5750, 540, 5779, 5210, 547, 3434, 707, 2759, 540, 5779, 267, 596, 3580, 991, 547, 1964, 621, 269, 10163, 532, 16469, 1310, 5986, 568, 1175, 607, 2629, 513, 1900, 607, 1697, 5986, 269, 1703, 616, 1079, 5301, 547, 16889, 3536, 1310, 5986, 912, 268, 4414, 626, 9084, 540, 23238, 281, 10163, 532, 5779, 2636, 942, 585, 519, 5779, 547, 6001, 543, 519, 4835, 23238, 547, 23799, 25572, 2933, 14961, 2429, 563, 268, 2961, 787, 936, 281, 2961, 787, 936, 5986, 4016, 547, 519, 5986, 602, 4386, 950, 596, 4894, 5779, 689, 519, 3002, 2707, 269, 15380, 267, 4163, 936, 5986, 2164, 538, 4473, 540, 476, 276, 1673, 1122, 4181, 2022, 2275, 8504, 563, 27916, 2053, 4268, 689, 8670, 547, 8670, 543, 11600, 547, 11600, 269, 1717, 267, 513, 2489, 13962, 28621, 573, 5202, 585, 16889, 5779, 568, 3335, 693, 2547, 476, 276, 268, 1015, 3764, 267, 610, 3476, 585, 3677, 887, 6814, 899, 513, 10775, 887, 770, 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 ]
[ 513, 2780, 5106, 267, 7640, 525, 922, 5347, 543, 3608, 10342, 547, 891, 2553, 269, 634, 5354, 540, 891, 16097, 666, 581, 29101, 3989, 607, 26227, 267, 3246, 513, 8465, 1935, 3810, 23163, 538, 519, 1699, 3059, 5736, 563, 4322, 5752, 1646, 2553, 616, 711, 1175, 5935, 3301, 1646, 267, 855, 849, 4742, 1898, 1983, 2066, 3309, 4610, 269, 1677, 7561, 1982, 568, 547, 581, 2111, 547, 1685, 1808, 26398, 267, 1419, 998, 519, 5137, 540, 4291, 17014, 2780, 3292, 269, 4935, 267, 4758, 804, 719, 547, 519, 3948, 602, 13215, 891, 2553, 666, 3927, 28196, 710, 513, 3318, 781, 4876, 18330, 563, 289, 4361, 11137, 540, 14691, 4886, 9828, 454, 347, 13070, 850, 4886, 1475, 15447, 333, 585, 922, 8112, 267, 2519, 593, 6024, 9283, 538, 1507, 1213, 906, 8198, 347, 12850, 6420, 1475, 293, 822, 832, 5276, 18615, 12191, 267, 1419, 9763, 607, 14461, 1813, 547, 922, 796, 4818, 668, 2358, 2497, 8198, 347, 3682, 339, 19685, 1475, 28606, 2740, 8560, 676, 3850, 585, 519, 5137, 540, 3732, 3301, 3631, 267, 3976, 7175, 1761, 11941, 1354, 519, 3803, 1587, 8198, 347, 296, 614, 894, 543, 9214, 11365, 4886, 1475, 2005, 3322, 14578, 3384, 4130, 13980, 540, 519, 3301, 267, 4180, 15418, 693, 1142, 1900, 8198, 1103, 519, 1699, 3059, 2085, 267, 5752, 1646, 2553, 616, 9687, 267, 609, 3397, 850, 1646, 3056, 519, 3640, 269, 19612, 585, 922, 8112, 267, 713, 4480, 6212, 593, 6024, 6454, 267, 609, 2242, 8045, 538, 1507, 267, 19242, 1213, 906, 269, 898, 568, 23163, 585, 519, 13916, 621, 3413, 3581, 9367, 267, 3850, 585, 519, 16190, 22098, 540, 1022, 2242, 610, 1007, 4170, 563, 12850, 6420, 267, 1776, 835, 540, 519, 5752, 16097, 267, 3792, 1206, 513, 811, 5276, 267, 18615, 1374, 269, 3962, 5123, 568, 6192, 4628, 1354, 3001, 5196, 519, 1985, 267, 5356, 513, 11295, 543, 1931, 569, 1184, 269, 1717, 267, 922, 6551, 7190, 666, 10460, 2591, 267, 12145, 922, 2702, 547, 3082, 547, 2242, 2899, 513, 3942, 814, 1044, 6192, 563, 3682, 339, 19685, 267, 607, 519, 2012, 5267, 267, 3322, 2870, 513, 18634, 1765, 513, 2596, 4528, 540, 519, 3301, 269, 634, 2832, 568, 547, 2203, 519, 3301, 3070, 267, 3850, 9367, 547, 6218, 922, 4398, 543, 1198, 2242, 607, 2556, 267, 1354, 3001, 547, 519, 2407, 1922, 1194, 3022, 1646, 1184, 269, 901, 1505, 568, 26916, 585, 922, 1942, 13716, 4369, 543, 5470, 17846, 538, 519, 3803, 1587, 563, 296, 614, 894, 543, 9214, 11365, 4886, 454, 296, 614, 894, 543, 9214, 11365, 1646, 25856, 1472, 2870, 519, 3301, 538, 1507, 267, 19242, 12415, 269, 3962, 10126, 568, 2919, 543, 24019, 1354, 3001, 593, 547, 519, 1985, 267, 4180, 602, 1022, 2152, 616, 9571, 543, 22621, 2038, 538, 519, 2504, 1184, 269, 898, 6971, 1981, 543, 4991, 14323, 3301, 883, 519, 3946, 540, 3755, 607, 3533, 607, 2009, 563, 25284, 2719, 1646, 2553, 723, 6038, 9927, 875, 649, 2170, 609, 3301, 267, 8744, 827, 2799, 4398, 543, 10727, 269, 1358, 1450, 9367, 547, 1711, 3301, 602, 10742, 519, 2479, 21608, 2115, 540, 3755, 267, 4611, 538, 2472, 602, 616, 11179, 5355, 543, 15268, 563, 1432, 616, 5752, 1646, 2553, 888, 25284, 2719, 1646, 2553, 3277, 547, 513, 1305, 540, 16097, 1031, 538, 519, 1184, 540, 2870, 267, 8888, 267, 11766, 532, 267, 543, 5885, 3301, 1949, 563, 3963, 616, 891, 2553, 1271, 538, 3301, 1646, 888, 25284, 2719, 1646, 2553, 2709, 2497, 543, 20928, 519, 1646, 1184, 269, 1358, 948, 538, 5883, 519, 1585, 10848, 2404, 609, 3301, 1646, 1247, 2810, 4398, 543, 7607, 563, 1432, 568, 3397, 850, 1646, 888, 13070, 850, 1646, 568, 513, 8465, 1935, 547, 3301, 1646, 602, 11363, 6024, 6454, 543, 13916, 269, 15448, 543, 9283, 616, 1500, 538, 1507, 267, 19242, 1213, 906, 563, 1432, 568, 594, 614, 894, 543, 9214, 11365, 1646, 888, 296, 614, 894, 543, 9214, 11365, 3322, 3384, 519, 3301, 538, 1507, 13980, 267, 1142, 540, 799, 568, 2919, 543, 24019, 1354, 23312, 547, 519, 1985, 269, 901, 6971, 1981, 543, 2636, 585, 2038, 7020, 543, 15494, 540, 2152, 563, 268, 14691, 4886, 9828, 3657, 3690, 14127, 519, 12229, 12752, 454, 268, 1548, 4024, 19732, 523, 693, 631, 1115, 6196, 7033, 619, 4303, 476, 1708, 274, 888, 268, 16684, 11137, 540, 14691, 4886, 9828, 454, 268, 3397, 850, 4886, 454, 268, 14691, 1646, 2553, 281, 1548, 616, 519, 14330, 304, 3681, 888, 268, 4826, 6420, 4886, 454, 268, 1548, 568, 519, 6428, 776, 540, 513, 13268, 3042, 2561, 4886, 21133, 693, 6452, 550, 675, 888, 268, 594, 614, 894, 543, 9214, 11365, 4886, 0, 763, 9502, 540, 606, 631, 19616, 454, 2304, 631, 19616, 267, 2110, 585, 7136, 1947, 11638, 16651, 6732, 267, 568, 513, 1826, 540, 2228, 3381, 3014, 602, 2636, 5215, 540, 5716, 547, 8195, 2170, 543, 1404, 538, 513, 5691, 1158, 269, 9521, 2757, 2582, 268, 16651, 610, 3818, 16651, 3756, 267, 27493, 11675, 2709, 513, 5318, 543, 10770, 3014, 1158, 602, 5170, 547, 2291, 1256, 950, 5716, 616, 711, 8362, 10283, 269, 901, 15138, 11080, 1995, 568, 1500, 2009, 998, 4950, 14479, 543, 4359, 7746, 5989, 563, 1432, 5036, 27493, 11675, 6306, 689, 824, 2228, 3756, 568, 519, 4336, 540, 519, 6345, 3490, 269, 1452, 3756, 1711, 513, 7372, 2228, 2146, 1141, 5716, 689, 1472, 519, 1158, 666, 1921, 267, 28111, 267, 14526, 267, 543, 5968, 538, 1483, 6066, 269, 634, 2228, 2470, 540, 27493, 11675, 16881, 519, 5250, 540, 1514, 2516, 267, 1368, 843, 338, 267, 543, 24816, 267, 7175, 5716, 547, 585, 613, 17052, 267, 4497, 538, 16542, 267, 543, 7832, 593, 12473, 9035, 1927, 563, 12613, 11675, 666, 1491, 1082, 1114, 3029, 267, 689, 14810, 2389, 1335, 539, 1909, 25178, 532, 3756, 547, 13777, 22618, 2230, 3408, 13502, 269, 1358, 1419, 6451, 2609, 540, 3408, 267, 8396, 267, 1915, 11144, 267, 543, 6345, 12454, 11615, 269, 634, 29863, 11707, 543, 6859, 666, 4268, 4922, 267, 855, 519, 4295, 9759, 540, 606, 631, 19616, 6013, 538, 922, 2702, 547, 1711, 513, 3838, 5691, 1604, 1141, 5716, 666, 2170, 543, 3337, 519, 3014, 1158, 563, 4322, 3756, 3335, 2154, 5716, 547, 1711, 513, 2189, 1915, 602, 4564, 873, 538, 519, 5691, 1158, 269, 901, 1285, 20345, 666, 581, 16419, 609, 1585, 3308, 2609, 267, 971, 607, 5920, 267, 3937, 267, 543, 5759, 269, 1306, 5716, 3356, 267, 789, 7118, 1995, 2798, 267, 2744, 1007, 5759, 267, 10536, 4686, 3688, 267, 543, 12260, 811, 4101, 1543, 563, 12613, 11675, 849, 1683, 513, 10770, 1158, 602, 7683, 27372, 998, 2834, 10311, 267, 20073, 687, 267, 543, 6345, 12454, 2621, 269, 634, 5691, 1158, 949, 4183, 6946, 561, 648, 267, 6422, 8916, 267, 543, 513, 2713, 5117, 20948, 676, 1875, 268, 16651, 3197, 630, 23259, 12336, 1040, 1452, 26128, 12336, 666, 581, 6417, 676, 519, 3014, 779, 5841, 4987, 610, 676, 824, 5716, 998, 6345, 268, 951, 639, 268, 16651, 4205, 563, 14454, 267, 27493, 11675, 2709, 513, 2189, 11100, 540, 15413, 1143, 267, 1514, 5872, 267, 543, 18756, 29863, 269, 1358, 1450, 5716, 547, 23365, 2933, 538, 5691, 10600, 1141, 789, 666, 7832, 593, 24123, 1391, 338, 267, 4497, 538, 13858, 12959, 267, 1628, 2950, 267, 543, 1995, 1279, 18835, 17052, 269, 634, 7683, 9687, 2470, 540, 27493, 11675, 5849, 602, 972, 568, 2141, 1945, 1007, 547, 3605, 267, 1818, 873, 606, 11972, 543, 2442, 9135, 540, 2228, 11080, 563, 763, 17959, 540, 27493, 11675, 454, 763, 5072, 540, 27493, 11675, 666, 581, 14360, 1394, 547, 519, 2038, 2395, 540, 2780, 543, 3381, 11080, 269, 2290, 540, 519, 9998, 1806, 540, 606, 631, 19616, 568, 519, 3014, 1572, 968, 300, 11070, 892, 630, 25648, 268, 27165, 14480, 613, 517, 1070, 2919, 538, 519, 3735, 476, 3192, 271, 338, 269, 631, 11070, 4847, 2789, 5716, 547, 4283, 513, 1257, 2861, 5691, 1158, 543, 2170, 609, 1142, 824, 269, 2755, 3908, 676, 2221, 779, 4441, 267, 631, 11070, 9788, 519, 5748, 585, 519, 15138, 543, 1514, 2470, 540, 2104, 27493, 11675, 563, 2005, 729, 711, 2394, 519, 476, 1960, 271, 338, 602, 27493, 11675, 5963, 3459, 547, 1491, 1055, 609, 519, 4367, 540, 21370, 17103, 543, 8441, 538, 13033, 2029, 269, 634, 3014, 602, 568, 1419, 20295, 609, 2442, 1944, 519, 9135, 568, 968, 19575, 9874, 6732, 2223, 5950, 538, 476, 1960, 278, 269, 8299, 9874, 6732, 4847, 5215, 540, 5716, 547, 2263, 513, 5318, 5691, 1158, 1927, 267, 4497, 538, 8396, 267, 4123, 267, 543, 1256, 1628, 741, 1378, 8075, 269, 901, 14262, 2140, 1305, 519, 3942, 585, 519, 7372, 1967, 602, 27493, 11675, 1131, 3035, 538, 519, 1296, 547, 2097, 563, 16729, 519, 1967, 540, 8299, 9874, 6732, 267, 824, 27493, 11675, 7153, 267, 1142, 609, 922, 1378, 2189, 29863, 11707, 543, 5468, 269, 968, 30706, 5226, 652, 2223, 5950, 538, 476, 1960, 280, 267, 5189, 513, 6422, 476, 274, 291, 1158, 543, 606, 6946, 561, 648, 602, 26970, 5716, 269, 898, 3533, 2968, 835, 540, 519, 1034, 2442, 27493, 11675, 540, 922, 942, 543, 21490, 519, 1259, 585, 1082, 2104, 10643, 563, 1103, 476, 1220, 275, 267, 2349, 11170, 731, 30007, 9250, 968, 13328, 540, 654, 2117, 2761, 2223, 799, 19117, 519, 631, 19616, 9135, 543, 3788, 835, 540, 519, 1034, 2442, 27493, 11675, 547, 713, 1554, 269, 2060, 922, 15138, 1158, 267, 8903, 1650, 1467, 267, 543, 3015, 29863, 267, 2622, 540, 654, 2117, 2761, 13631, 6634, 540, 5716, 543, 4547, 27493, 11675, 883, 519, 13416, 11080, 2528, 269, 898, 1305, 513, 1007, 3044, 585, 519, 1377, 540, 3178, 267, 1543, 267, 543, 1514, 5872, 602, 5716, 4397, 689, 606, 631, 19616, 563, 4407, 27493, 11675, 7620, 5059, 593, 14810, 5468, 267, 824, 11964, 3459, 547, 10836, 607, 519, 2344, 9450, 269, 968, 292, 12717, 6732, 2223, 5950, 538, 476, 1220, 274, 267, 3576, 5716, 547, 519, 17909, 540, 2230, 267, 3850, 873, 547, 12681, 5624, 4721, 267, 4497, 538, 26300, 15362, 13137, 267, 543, 7119, 538, 835, 540, 519, 1034, 1950, 6345, 12454, 11615, 538, 11080, 1686, 563, 7021, 519, 1296, 267, 27493, 11675, 723, 4797, 547, 11457, 543, 4129, 1518, 269, 3245, 2257, 5708, 543, 15705, 2389, 1335, 539, 3756, 547, 5691, 10600, 543, 5070, 7901, 2833, 267, 972, 568, 1631, 606, 631, 19616, 547, 9290, 3592, 1022, 6345, 779, 7375, 269, 634, 9135, 814, 849, 2938, 1713, 7760, 538, 12449, 267, 29863, 11707, 267, 543, 6345, 2170, 2032, 267, 3246, 811, 15138, 543, 6422, 2833, 563, 1103, 2487, 1296, 267, 519, 4473, 540, 1863, 3562, 25178, 3631, 543, 5985, 11080, 814, 2417, 9450, 519, 10333, 543, 3914, 540, 27493, 11675, 269, 24812, 666, 1631, 2972, 891, 3818, 16651, 2833, 593, 741, 16389, 543, 14342, 267, 20471, 543, 9170, 267, 8220, 609, 513, 2518, 6345, 3490, 538, 2081, 602, 941, 5892, 796, 19960, 514, 762, 563, 763, 8129, 540, 27493, 11675, 949, 581, 18803, 267, 855, 741, 1764, 593, 519, 11080, 2872, 543, 519, 2833, 789, 2709, 547, 5716, 616, 4986, 2110, 540, 9058, 269, 1306, 2029, 5170, 547, 4434, 267, 649, 666, 1152, 4952, 875, 27493, 11675, 786, 11457, 538, 519, 2104, 267, 5356, 1256, 811, 15138, 267, 1514, 267, 543, 3078, 11080, 2833, 563, 7659, 17972, 540, 27493, 11675, 454, 12613, 11675, 616, 1634, 585, 741, 2189, 543, 10058, 2934, 602, 1305, 873, 6306, 689, 824, 2010, 540, 3381, 3756, 269, 1452, 2934, 3565, 547, 519, 15138, 543, 1514, 2470, 540, 519, 9135, 267, 3246, 5716, 609, 513, 3638, 543, 6422, 11080, 1995, 269, 3371, 616, 930, 1883, 2934, 540, 27493, 11675, 912, 268, 7136, 633, 26761, 12476, 281, 2290, 540, 519, 10747, 4162, 540, 27493, 11675, 568, 519, 2702, 547, 1921, 609, 5215, 267, 610, 1256, 6634, 267, 540, 5716, 5001, 269, 901, 5318, 6345, 3490, 5932, 513, 2631, 540, 2146, 543, 2488, 3255, 585, 16542, 267, 6735, 267, 543, 1514, 5872, 563, 268, 6431, 11962, 10794, 2622, 281, 9521, 2582, 268, 16651, 3756, 602, 19268, 950, 596, 14827, 267, 27493, 11675, 2709, 513, 10770, 3014, 1158, 602, 5170, 547, 2291, 543, 11457, 1256, 950, 5716, 616, 22356, 269, 901, 1797, 602, 519, 3014, 1158, 568, 7683, 4657, 543, 3395, 267, 3246, 1007, 2591, 543, 1543, 585, 5716, 547, 2263, 563, 268, 10886, 4273, 1833, 281, 27493, 11675, 3335, 4183, 513, 11144, 1062, 1141, 5716, 666, 1377, 909, 741, 3197, 267, 10536, 1007, 1983, 543, 5759, 267, 543, 2744, 1569, 547, 811, 4101, 1543, 269, 901, 2631, 540, 2208, 543, 1646, 568, 513, 4295 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 581, 3144, 609, 26122, 543, 1085, 600, 15737, 269, 634, 7756, 9537, 2986, 14740, 589, 1111, 281, 14740, 634, 1111, 14740, 634, 1111, 1703, 616, 1082, 1114, 2010, 540, 3043, 27897, 6760, 713, 1554, 538, 2085, 267, 855, 1906, 3043, 27897, 10963, 616, 607, 14124, 607, 3961, 17403, 269, 14740, 17403, 849, 4523, 950, 596, 723, 31941, 687, 547, 11516, 16408, 7270, 269, 901, 543, 513, 21318, 540, 1585, 824, 2665, 2049, 1169, 824, 1554, 269, 769, 519, 476, 2641, 560, 2540, 6880, 13062, 830, 814, 1831, 835, 540, 519, 7887, 3029, 540, 6760, 538, 519, 1158, 269, 901, 3390, 568, 811, 10296, 982, 2479, 1631, 607, 649, 2932, 1034, 540, 938, 2238, 2228, 563, 15987, 972, 568, 2760, 513, 2386, 1922, 790, 1259, 547, 4625, 2061, 2228, 3961, 17403, 267, 972, 616, 9645, 2081, 585, 835, 547, 2061, 741, 3961, 689, 1373, 21687, 538, 6880, 1158, 269, 3397, 2908, 14437, 827, 875, 930, 8833, 2322, 811, 2604, 593, 1004, 547, 3479, 6760, 899, 519, 1249, 540, 1373, 14834, 267, 21616, 543, 9561, 741, 6009, 269, 1280, 513, 7911, 945, 568, 1472, 519, 2085, 540, 476, 1015, 268, 1724, 267, 519, 18537, 1131, 581, 827, 1863, 9304, 538, 513, 3381, 3014, 267, 1141, 23829, 585, 513, 3993, 267, 789, 1522, 14441, 513, 1085, 600, 585, 4816, 9660, 267, 3092, 269, 631, 30639, 3069, 6212, 593, 1946, 1004, 3479, 547, 1821, 5050, 2623, 538, 10963, 269, 3733, 2195, 2334, 20531, 17235, 269, 4635, 713, 1344, 267, 519, 1268, 945, 1569, 525, 713, 1344, 666, 3479, 12611, 543, 824, 10363, 2534, 269, 0, 314, 12709, 316, 1496, 303, 340, 26072, 1299, 18768, 316, 1496, 22013, 12978, 9828, 316, 1496, 13043, 3584, 316, 1496, 299, 3869, 316, 1496, 25219, 1988, 2639, 1607, 1982, 28352, 513, 24626, 585, 519, 1657, 11015, 563, 25889, 1299, 9828, 454, 2304, 834, 10907, 549, 10973, 257, 568, 513, 11015, 3926, 4171, 3070, 8761, 519, 2626, 547, 1776, 2243, 269, 901, 6445, 2987, 11015, 8761, 513, 476, 1724, 628, 5667, 29347, 1881, 1106, 540, 3560, 538, 519, 12457, 539, 2127, 950, 519, 11015, 568, 6192, 269, 594, 6415, 2386, 621, 666, 581, 12193, 609, 15513, 543, 1957, 543, 2901, 513, 1434, 2144, 6471, 610, 6266, 540, 10145, 11015, 17074, 269, 634, 2780, 666, 4194, 621, 519, 1482, 1259, 855, 1259, 5488, 269, 769, 1082, 1296, 540, 631, 839, 320, 7138, 1782, 267, 713, 519, 1101, 540, 713, 1826, 594, 11291, 865, 594, 10093, 1405, 20902, 519, 1982, 267, 855, 621, 4465, 1405, 581, 2352, 547, 798, 865, 952, 513, 2034, 1383, 2982, 909, 269, 1703, 568, 513, 1820, 7735, 3177, 538, 2013, 596, 1616, 547, 960, 593, 621, 519, 2025, 6752, 539, 1259, 563, 15239, 3491, 13559, 11302, 616, 10950, 547, 1224, 593, 267, 855, 949, 1616, 547, 7914, 547, 5377, 540, 713, 2985, 547, 4647, 519, 4291, 17014, 1982, 1631, 563, 763, 1966, 729, 24018, 676, 10962, 834, 11328, 7611, 14329, 21968, 5638, 585, 1142, 6292, 540, 1913, 799, 3444, 1142, 824, 269, 6478, 7158, 616, 22921, 670, 272, 998, 670, 277, 543, 966, 272, 998, 966, 277, 689, 2451, 547, 1318, 543, 1283, 547, 5377, 269, 1924, 670, 272, 263, 273, 1070, 309, 272, 263, 273, 264, 6920, 602, 8880, 2262, 670, 272, 543, 7299, 2262, 966, 272, 12969, 693, 519, 476, 273, 526, 4484, 540, 1142, 2262, 269, 634, 1982, 1140, 2851, 513, 5569, 1592, 540, 834, 290, 663, 28371, 257, 2262, 8424, 799, 1223, 6445, 519, 4170, 540, 519, 4341, 563, 288, 13138, 2544, 13440, 2594, 568, 3989, 799, 9397, 519, 1257, 540, 1142, 4341, 883, 1367, 4610, 543, 8591, 513, 15443, 573, 919, 5569, 1592, 547, 3180, 8424, 540, 1913, 799, 723, 12805, 5022, 538, 519, 9138, 10167, 7158, 269, 634, 9612, 289, 339, 333, 4945, 5650, 1101, 13976, 513, 16390, 5044, 540, 13138, 2544, 13434, 1759, 593, 519, 10268, 10167, 3652, 543, 13976, 519, 15443, 28371, 1592, 585, 1142, 4341, 269, 4495, 713, 16390, 5044, 568, 3710, 267, 649, 1287, 1289, 1599, 6744, 290, 663, 573, 919, 585, 1142, 4341, 547, 16571, 1947, 1184, 519, 11134, 2262, 8424, 269, 2667, 11220, 8266, 568, 513, 8745, 284, 19368, 1826, 540, 5569, 1592, 609, 834, 17504, 284, 10112, 11220, 4087, 257, 585, 782, 1913, 609, 513, 16315, 540, 799, 2262, 2990, 814, 1044, 8655, 602, 2262, 609, 513, 2027, 13525, 630, 1492, 4484, 834, 301, 8442, 568, 1305, 952, 519, 2262, 568, 2139, 269, 6744, 290, 663, 573, 919, 3157, 519, 15443, 573, 919, 1592, 3168, 585, 513, 6292, 540, 2139, 1913, 602, 621, 666, 3651, 269, 1403, 621, 9060, 513, 6292, 267, 621, 3651, 338, 873, 543, 7125, 3294, 609, 519, 1985, 4341, 1297, 269, 1403, 1100, 10457, 666, 581, 8655, 585, 519, 1699, 4341, 267, 519, 1599, 7024, 834, 16178, 257, 547, 519, 1289, 518, 630, 1492, 3105, 4341, 264, 799, 1287, 796, 12431, 793, 338, 922, 5767, 10467, 543, 13290, 519, 1985, 11134, 6292, 267, 3092, 269, 634, 1184, 5170, 2394, 782, 3652, 723, 1044, 13854, 543, 649, 723, 513, 3070, 610, 782, 3652, 723, 25356, 782, 540, 741, 10457, 538, 799, 2013, 1100, 3070, 6818, 269, 901, 568, 513, 5929, 834, 323, 3704, 23867, 3406, 609, 16571, 542, 257, 799, 1869, 4667, 899, 9059, 547, 803, 950, 621, 1568, 2336, 8448, 1982, 2934, 4502, 4304, 912, 296, 3773, 513, 4183, 547, 4990, 519, 16390, 5044, 1354, 6061, 538, 606, 3801, 547, 2569, 3406, 2619, 3259, 269, 19461, 1931, 568, 676, 21222, 7267, 2262, 1297, 855, 594, 3773, 3681, 547, 4990, 676, 2810, 15443, 573, 919, 2262, 1592, 3259, 630, 337, 12584, 1454, 5488, 264, 610, 676, 27312, 1297, 540, 28963, 585, 519, 8880, 2262, 630, 7116, 518, 2299, 5488, 1040, 634, 2856, 585, 519, 15443, 573, 919, 1592, 2450, 4990, 729, 602, 7864, 10457, 786, 1205, 519, 1697, 1913, 5116, 18334, 543, 621, 2408, 602, 621, 1281, 269, 1280, 519, 27312, 1297, 540, 28963, 519, 2856, 729, 547, 1205, 1913, 609, 1034, 28963, 5116, 1101, 267, 855, 972, 5526, 547, 581, 811, 547, 621, 269, 6787, 972, 616, 1732, 2081, 547, 840, 572, 937, 519, 3652, 1931, 585, 4398, 3788, 606, 1930, 2243, 269, 14409, 519, 3652, 609, 1913, 12969, 532, 519, 2063, 1913, 5116, 1522, 581, 811, 834, 16058, 6438, 257, 543, 581, 1256, 811, 3608, 563, 1103, 1022, 2680, 267, 621, 814, 1044, 513, 17598, 476, 1015, 2395, 540, 8193, 543, 1966, 6061, 563, 305, 7342, 270, 18698, 519, 5358, 454, 22296, 2248, 687, 585, 4329, 4112, 32590, 454, 314, 293, 3975, 3724, 316, 1496, 21158, 24393, 630, 11357, 18285, 270, 1613, 13580, 1496, 10666, 803, 2639, 15648, 9736, 476, 1220, 271, 268, 1001, 279, 267, 27722, 11023, 2421, 2353, 2924, 11603, 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 ]
[ 0, 32178, 22895, 528, 9652, 9411, 6214, 693, 2085, 476, 2537, 269, 1261, 8678, 18322, 693, 476, 1839, 543, 6039, 705, 569, 269, 769, 4873, 476, 8687, 273, 267, 3013, 10294, 2112, 593, 6628, 3056, 9652, 547, 15313, 13538, 269, 634, 13573, 3089, 1014, 3366, 513, 17740, 807, 1895, 1996, 6628, 779, 4095, 16167, 269, 9652, 2968, 513, 3084, 5869, 693, 519, 11135, 540, 519, 774, 1868, 1310, 1373, 20295, 609, 11318, 4095, 6205, 570, 1815, 636, 572, 327, 563, 13563, 20494, 341, 1734, 1996, 6628, 18584, 547, 519, 6115, 10029, 269, 634, 3703, 13108, 16091, 1977, 11288, 267, 4604, 539, 772, 2529, 269, 8043, 267, 543, 32043, 11474, 1977, 25501, 269, 1635, 476, 8687, 273, 267, 519, 23885, 10029, 1185, 2614, 543, 10294, 2112, 269, 9400, 22895, 528, 9652, 6039, 538, 6837, 693, 519, 942, 269, 1635, 476, 8687, 273, 267, 646, 6591, 930, 3007, 585, 29000, 12138, 16803, 779, 30612, 538, 1200, 3801, 547, 4309, 1200, 9393, 779, 21829, 2782, 2628, 269, 16803, 1185, 17379, 8569, 267, 855, 1010, 2669, 2451, 11427, 269, 16803, 538, 2804, 829, 559, 269, 9652, 779, 3646, 8507, 538, 2407, 8569, 563, 763, 18322, 2006, 28520, 5128, 883, 519, 2112, 4674, 609, 519, 1482, 1648, 543, 4398, 607, 519, 16803, 2013, 269, 9652, 24027, 609, 519, 2112, 17761, 802, 804, 600, 1681, 585, 9547, 1996, 3703, 3051, 725, 269, 2991, 519, 2112, 17083, 267, 519, 18322, 2006, 8120, 547, 17996, 547, 15313, 13538, 269, 2201, 5181, 476, 1240, 267, 476, 8687, 273, 267, 1010, 1770, 11324, 4240, 10783, 31722, 689, 12075, 269, 30850, 267, 646, 771, 7171, 539, 519, 17740, 807, 543, 8120, 547, 6115, 667, 5861, 563, 17812, 816, 2006, 9652, 14059, 5518, 23885, 609, 4566, 547, 13230, 513, 1368, 20482, 8759, 2112, 1996, 519, 12075, 269, 634, 7952, 6964, 1010, 12485, 538, 519, 4832, 540, 476, 8687, 274, 950, 9652, 8120, 547, 519, 2361, 609, 13538, 269, 3571, 13573, 3089, 2103, 7722, 570, 1815, 636, 572, 327, 1310, 20182, 32126, 31473, 779, 11802, 693, 8235, 661, 4471, 269, 570, 1815, 636, 572, 327, 23647, 3443, 268, 24465, 18541, 543, 519, 5137, 540, 606, 4830, 4095, 1533, 269, 1261, 9763, 519, 3703, 607, 1761, 5260, 12542, 543, 16167, 269, 1879, 519, 2112, 13264, 856, 267, 646, 521, 3660, 609, 6628, 543, 15548, 538, 24354, 779, 7001, 269, 634, 4892, 2808, 570, 1815, 636, 572, 327, 513, 2101, 3463, 547, 3084, 3354, 563, 297, 28427, 17204, 570, 1815, 636, 572, 327, 593, 5181, 476, 3066, 543, 1476, 4593, 730, 3703, 7727, 593, 5239, 476, 274, 269, 634, 3703, 4956, 547, 4339, 519, 4892, 593, 5239, 476, 276, 269, 9652, 779, 4587, 7015, 267, 6276, 267, 16091, 519, 1292, 3703, 3196, 1247, 9400, 7722, 570, 1815, 636, 572, 327, 779, 12075, 269, 6276, 9652, 779, 3196, 30635, 3042, 519, 10546, 1102, 997, 1154, 476, 4037, 260, 25096, 269, 11531, 267, 1010, 7820, 7015, 10692, 513, 27162, 615, 6370, 593, 519, 6316, 540, 513, 32761, 563, 763, 11135, 540, 519, 774, 1868, 8057, 26525, 585, 6837, 2006, 9652, 543, 570, 1815, 636, 572, 327, 269, 1323, 1977, 29816, 9901, 8959, 538, 519, 32761, 344, 2666, 269, 22365, 4403, 906, 7142, 519, 12075, 883, 519, 32761, 1697, 269, 570, 1815, 636, 572, 327, 5747, 1282, 519, 18956, 269, 25126, 593, 7504, 3724, 7166, 519, 4095, 6205, 269, 1635, 713, 1448, 267, 9652, 729, 835, 540, 1906, 4892, 2451, 593, 7504, 3724, 543, 4607, 5491, 563, 763, 13573, 3089, 2103, 4362, 570, 1815, 636, 572, 327, 779, 3788, 2282, 9652, 779, 11058, 609, 16398, 5812, 609, 9652, 779, 16537, 565, 543, 29461, 269, 3958, 267, 606, 4095, 8783, 20754, 519, 18322, 2006, 1354, 1373, 8929, 4666, 269, 9652, 25540, 1282, 519, 6278, 689, 2947, 16886, 16398, 269, 1323, 3606, 476, 1839, 4439, 7410, 25778, 3022, 538, 1010, 7504, 543, 3937, 269, 3571, 2367, 6569, 1864, 689, 519, 2361, 543, 519, 17996, 5065, 16626, 563, 763, 2112, 5869, 9652, 8120, 547, 6115, 667, 5861, 269, 543, 960, 269, 634, 2112, 11943, 693, 519, 1439, 540, 476, 8687, 275, 269, 634, 18322, 2006, 5249, 547, 5150, 533, 5014, 585, 11097, 3298, 543, 610, 874, 753, 269, 1261, 6039, 538, 519, 14130, 689, 476, 8687, 280, 268, 9264, 280, 543, 8120, 547, 519, 5600, 540, 24929, 1354, 4742, 13030, 7022, 269, 634, 24273, 4941, 513, 2112, 5869, 593, 519, 19044, 7258, 9410, 11709, 645, 675, 333, 269, 634, 6292, 4465, 519, 476, 8146, 277, 9550, 543, 9652, 10924, 519, 2034, 5207, 5604, 538, 3013, 563, 32178, 22895, 528, 9652, 5249, 585, 11097, 3298, 607, 513, 6837, 2006, 269, 9737, 18322, 1308, 7886, 267, 646, 10692, 538, 519, 2782, 540, 476, 8687, 273, 269, 9652, 6896, 13538, 543, 3366, 873, 883, 6370, 269, 1261, 7153, 513, 2112, 5869, 1310, 9396, 908, 543, 11318, 570, 1815, 636, 572, 327, 538, 476, 8687, 274, 269, 3571, 9740, 3366, 547, 519, 21470, 3465, 19409, 540, 519, 2136, 2276, 269, 0, 2252, 707, 1126, 1185, 513, 23069, 267, 1131, 596, 917, 621, 286, 1656, 1131, 596, 917, 1018, 547, 798, 888, 1432, 568, 513, 23069, 888, 288, 23069, 568, 513, 5618, 1974, 540, 942, 950, 513, 1268, 779, 2634, 814, 513, 10006, 540, 5122, 2534, 269, 634, 10006, 17303, 32290, 9637, 267, 11994, 267, 543, 5924, 4887, 1852, 269, 5753, 609, 24583, 13887, 623, 1023, 344, 267, 20150, 267, 2790, 29472, 566, 267, 610, 1022, 14715, 4524, 616, 693, 2362, 1981, 585, 7680, 513, 23069, 269, 898, 779, 513, 1434, 2856, 585, 3237, 547, 5431, 519, 2589, 543, 917, 1018, 547, 798, 563, 303, 6372, 4191, 540, 513, 23069, 912, 268, 853, 2130, 1975, 20635, 269, 1403, 707, 1126, 814, 14501, 540, 31325, 883, 2230, 267, 1118, 621, 513, 1448, 547, 7747, 1864, 5402, 269, 2991, 519, 11963, 267, 666, 646, 2995, 596, 1018, 646, 729, 968, 628, 9722, 892, 827, 286, 6496, 646, 723, 1022, 3965, 540, 519, 10071, 286, 769, 519, 2013, 540, 513, 23069, 267, 707, 1126, 786, 3100, 547, 10145, 856, 4090, 3320, 267, 543, 711, 3314, 621, 19952, 269, 901, 568, 9875, 547, 3313, 538, 513, 1875, 31646, 1126, 269, 6733, 585, 824, 4191, 1282, 519, 28542, 971, 607, 7646, 1000, 26677, 267, 12150, 1025, 9722, 267, 610, 8966, 11132, 5322, 269, 901, 2186, 540, 23069, 568, 1572, 606, 9000, 23069, 267, 607, 952, 519, 1126, 568, 968, 11274, 550, 892, 689, 519, 1158, 1472, 1864, 585, 1896, 7643, 563, 268, 5899, 1052, 3911, 20635, 610, 570, 770, 525, 269, 1403, 707, 1126, 5360, 1622, 602, 1352, 24462, 8966, 30851, 267, 610, 814, 513, 16168, 6492, 538, 1200, 5023, 267, 891, 1223, 581, 4191, 540, 513, 2241, 9864, 23069, 269, 4033, 2589, 1331, 979, 846, 27894, 610, 669, 1571, 585, 1100, 7805, 2601, 267, 24852, 1510, 2014, 267, 543, 4743, 10393, 31604, 610, 552, 25045, 7595, 950, 1346, 4606, 616, 9642, 569, 856, 540, 1747, 269, 2991, 7680, 513, 2241, 9864, 23069, 267, 519, 1126, 1131, 3314, 1018, 1352, 5433, 543, 1223, 2911, 827, 621, 563, 268, 590, 5844, 12791, 1652, 10263, 269, 901, 2186, 540, 23069, 1522, 1376, 607, 513, 31325, 11963, 267, 543, 2490, 883, 9067, 23337, 22326, 267, 16116, 693, 9660, 267, 543, 6972, 2832, 8393, 269, 5899, 1052, 2623, 1522, 581, 4767, 267, 971, 607, 18110, 513, 2262, 610, 8360, 267, 9427, 7802, 267, 610, 4881, 4724, 519, 8265, 269, 901, 568, 2352, 547, 16174, 689, 2161, 267, 519, 6093, 2623, 540, 606, 26144, 1126, 267, 855, 519, 2385, 1058, 1413, 585, 5618, 14501, 1141, 519, 1126, 4667, 30890, 543, 711, 5128, 269, 901, 568, 1572, 513, 1950, 9864, 23069, 563, 268, 1133, 25049, 10610, 28073, 269, 901, 1223, 1331, 4376, 689, 606, 6186, 610, 1850, 28478, 6362, 10393, 630, 553, 1034, 1004, 723, 4810, 593, 8317, 950, 789, 941, 1743, 14823, 1055, 547, 3207, 1070, 547, 519, 1126, 21177, 547, 519, 2666, 267, 13888, 2287, 267, 543, 1000, 26677, 3423, 1836, 269, 901, 1131, 581, 2808, 513, 2489, 23069, 267, 1141, 1312, 5011, 540, 519, 1560, 616, 3238, 543, 519, 1126, 568, 4299, 689, 2212, 547, 23179, 269, 1261, 1522, 6632, 5128, 267, 11116, 1010, 11469, 267, 4779, 534, 267, 610, 3956, 269, 1452, 5686, 540, 17465, 616, 1572, 693, 4577, 267, 512, 4577, 267, 512, 4577, 12641, 4577, 267, 543, 1250, 16438, 4577, 267, 4470, 593, 519, 2589, 563, 1432, 1058, 594, 798, 952, 1250, 1126, 814, 513, 23069, 888, 268, 1280, 7646, 518, 17465, 267, 971, 607, 9000, 17465, 610, 31325, 28542, 267, 1118, 606, 13393, 585, 707, 1126, 547, 1294, 1010, 12963, 1014, 269, 11512, 4010, 1018, 596, 616, 11287, 269, 634, 4387, 949, 1616, 547, 2932, 930, 4255, 269, 769, 1082, 2665, 267, 891, 7646, 518, 3029, 540, 23069, 786, 14897, 950, 513, 1126, 568, 538, 1010, 12322, 563, 268, 1403, 707, 1126, 5956, 5996, 6160, 532, 630, 16443, 2193, 28478, 6362, 543, 13888, 2287, 264, 638, 1157, 569, 3391, 1200, 547, 513, 2922, 2230, 1141, 1352, 4465, 1406, 3614, 675, 9887, 563, 268, 1684, 711, 2322, 4376, 538, 519, 1126, 779, 5023, 563, 268, 1684, 711, 1964, 1778, 519, 1126, 563, 268, 1684, 711, 22551, 267, 3458, 600, 267, 610, 1831, 3443, 17673, 269, 2836, 332, 569, 7227, 856, 519, 23069, 563, 268, 1403, 519, 23069, 5170, 3476, 982, 2947, 3764, 267, 610, 952, 713, 568, 707, 1126, 779, 1101, 23069, 267, 1289, 476, 26605, 563, 268, 2991, 519, 23069, 267, 798, 711, 2285, 519, 1126, 1426, 610, 4235, 2394, 646, 568, 4625, 16626, 563, 268, 5753, 609, 7368, 17465, 1058, 711, 11878, 21891, 538, 519, 8265, 610, 18214, 4054, 267, 3092, 1421, 1510, 6297, 15569, 563, 7212, 31029, 267, 1034, 9678, 17465, 616, 711, 5739, 269, 1703, 616, 849, 6527, 2139, 799, 666, 2061, 17465, 689, 9648, 267, 610, 7494, 24390, 741, 4908, 543, 5924, 10335, 269, 1280, 1453, 609, 20560, 610, 7368, 23069, 25102, 27689, 267, 2705, 267, 519, 23567, 9775, 269, 769, 891, 811, 4049, 2665, 267, 513, 2347, 10826, 949, 581, 12691, 269, 4935, 267, 513, 1434, 2078, 609, 513, 12592, 267, 12391, 10629, 568, 4105, 269, 2405, 1709, 10659, 949, 581, 4603, 539, 609, 267, 543, 6391, 949, 581, 606, 4781, 269, 3194, 568, 5571, 543, 707, 7418, 543, 1489, 538, 519, 2014, 540, 4466, 524, 999, 568, 2877, 269, 630, 8450, 1250, 5816, 968, 1692, 1411, 2052, 6435, 519, 590, 1157, 543, 519, 22206, 1359, 1848, 994, 14399, 609, 23069, 4713, 616, 14718, 585, 7981, 4065, 7896, 267, 2687, 547, 519, 15706, 609, 24894, 4065, 26094, 2920, 540, 476, 1220, 275, 630, 2839, 12788, 1040, 0, 20663, 2203, 2337, 3589, 3075, 8801, 2360, 454, 288, 1305, 540, 2780, 3631, 6585, 9153, 547, 3589, 2942, 2427, 2360, 538, 5061, 267, 4543, 3173, 1020, 10930, 6527, 543, 5732, 4688, 17542, 540, 9489, 6170, 593, 3384, 5061, 602, 3111, 563, 763, 960, 267, 17729, 2228, 713, 3018, 538, 519, 4760, 7186, 267, 2934, 1382, 689, 519, 2160, 540, 4993, 267, 5842, 12770, 267, 23941, 585, 12713, 21357, 3194, 543, 7256, 27087, 14997, 11914, 338, 734, 320, 772, 5425, 293, 8095, 11325, 2754, 9250, 676, 1079, 540, 519, 1957, 781, 4589, 269, 1358, 1305, 856, 547, 1711, 513, 2203, 547, 3589, 799, 3075, 16548, 941, 1034, 2693, 547, 723, 8801, 2427, 2360, 267, 2687, 547, 513, 772, 5425, 293, 2376, 563, 5575, 267, 519, 3173, 2813, 513, 6538, 540, 476, 10463, 5946, 2404, 609, 8801, 2427, 2360, 269, 3973, 789, 1031, 513, 2780, 1982, 547, 5659, 2436, 513, 5399, 540, 476, 4792, 277, 9516, 5061, 941, 2693, 547, 2170, 609, 1022, 540, 873, 563, 763, 3173, 1500, 811, 982, 476, 272, 267, 1822, 11236, 267, 543, 1336, 827, 3368, 540, 873, 547, 581, 2953, 267, 20240, 998, 1007, 4255, 538, 519, 8047, 269, 1358, 849, 1336, 476, 14681, 5892, 7164, 4205, 563, 10454, 7887, 9983, 729, 1175, 875, 1596, 4593, 6681, 519, 5061, 941, 267, 609, 1142, 3075, 18644, 811, 982, 476, 1015, 2600, 540, 519, 9072, 267, 543, 875, 1419, 519, 2427, 13716, 9072, 941, 20775, 547, 519, 5892, 1634, 9072, 540, 519, 5061, 2437, 1767, 20574, 1744, 18757, 2867, 267, 513, 772, 5425, 293, 7548, 540, 14453, 7998, 543, 4745, 9666, 518, 593, 519, 1788, 269, 834, 6546, 1131, 723, 1044, 2182, 547, 3589, 1210, 3044, 3621, 4485, 4799, 288, 4122, 11855, 1942, 585, 8744, 513, 3075, 547, 2344, 568, 1269, 272, 269, 273, 5479, 2066, 476, 1428, 1296, 267, 4352, 602, 666, 2220 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9042, 3902, 543, 2934, 729, 519, 2949, 2298, 540, 519, 2777, 563, 8722, 2137, 602, 723, 519, 1655, 9756, 547, 519, 22312, 12313, 454, 25539, 2969, 13543, 22957, 281, 769, 1931, 547, 3589, 519, 6364, 4756, 630, 344, 4756, 264, 596, 991, 547, 2490, 782, 519, 1843, 1826, 9587, 883, 25948, 538, 1931, 547, 3589, 519, 22312, 12313, 269, 1924, 1101, 267, 594, 10736, 782, 519, 3921, 1400, 9587, 883, 25948, 676, 26471, 873, 676, 2338, 267, 543, 585, 782, 519, 824, 2934, 594, 2813, 546, 16244, 4632, 563, 300, 7495, 5085, 5058, 281, 2991, 2870, 782, 519, 2934, 547, 3589, 519, 9042, 5777, 267, 1210, 28189, 267, 649, 5721, 23150, 1606, 5902, 519, 2866, 1239, 269, 769, 22953, 267, 972, 616, 513, 2603, 540, 3631, 596, 666, 3442, 689, 547, 1205, 519, 1655, 7900, 2203, 269, 769, 713, 1788, 267, 594, 10443, 12430, 22953, 267, 23374, 267, 543, 20098, 810, 3631, 563, 32086, 24143, 281, 1215, 519, 2203, 13352, 519, 2866, 1239, 454, 14818, 532, 24143, 281, 1215, 519, 2203, 2489, 3278, 547, 1007, 1239, 454, 305, 5960, 292, 281, 31698, 875, 2484, 11236, 2887, 689, 6027, 3020, 2418, 1210, 28070, 3845, 563, 763, 15977, 2203, 1185, 606, 681, 5960, 292, 540, 1269, 3199, 267, 1822, 269, 589, 15977, 568, 1031, 547, 5635, 519, 681, 5960, 292, 547, 1250, 2203, 779, 681, 5960, 292, 547, 1397, 875, 2500, 1250, 2203, 568, 269, 1924, 782, 540, 519, 3631, 1685, 5393, 1732, 982, 519, 15977, 267, 10213, 721, 602, 938, 2203, 568, 17782, 3622, 1732, 982, 519, 15977, 2203, 563, 299, 27591, 15824, 1732, 982, 12430, 22953, 610, 23374, 607, 621, 3947, 606, 681, 273, 6060, 540, 476, 10844, 260, 593, 519, 1449, 543, 476, 24241, 2764, 593, 519, 681, 5960, 292, 269, 594, 8359, 20098, 810, 1317, 519, 2203, 1185, 513, 2603, 540, 2934, 543, 519, 15255, 810, 2203, 695, 337, 3855, 543, 18788, 519, 14170, 267, 799, 6971, 13065, 1510, 513, 8101, 2333, 540, 519, 9186, 563, 1607, 2982, 519, 2078, 1063, 10567, 543, 4890, 9042, 3902, 282, 607, 596, 666, 1294, 621, 568, 7168, 5276, 269, 634, 2203, 568, 1434, 1317, 519, 10567, 543, 4890, 9042, 5777, 616, 2731, 2673, 547, 1142, 824, 563, 19350, 568, 519, 3095, 585, 27707, 29878, 585, 519, 1788, 952, 596, 1616, 547, 2638, 621, 856, 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 ]
[ 0, 288, 18419, 5106, 568, 3989, 676, 513, 16692, 4041, 15288, 16083, 269, 634, 1871, 540, 519, 16692, 4041, 15288, 568, 18593, 269, 1403, 513, 1871, 568, 3177, 621, 568, 519, 5021, 1297, 540, 3597, 9136, 547, 581, 25216, 269, 18040, 16730, 543, 674, 6579, 9898, 21291, 616, 1031, 547, 5815, 799, 9136, 1058, 581, 25216, 563, 2304, 18419, 666, 5372, 513, 3597, 6843, 610, 8371, 269, 1403, 519, 18040, 16730, 16083, 13292, 513, 7936, 602, 7936, 568, 25216, 2059, 609, 782, 7923, 8371, 563, 13750, 906, 616, 11117, 607, 2106, 11388, 3585, 3850, 2789, 14222, 14511, 547, 581, 3742, 269, 1677, 1489, 713, 606, 681, 2839, 16083, 568, 4847, 538, 519, 16692, 4041, 15288, 3948, 269, 634, 1871, 585, 519, 681, 2839, 16083, 1590, 581, 513, 5569, 269, 634, 681, 2839, 1871, 568, 5293, 1394, 538, 519, 13214, 1267, 563, 763, 2132, 689, 513, 16692, 4041, 15288, 568, 513, 32227, 8629, 269, 634, 9115, 540, 519, 1267, 8629, 786, 581, 1114, 4470, 593, 519, 1967, 610, 5821, 540, 519, 6268, 269, 769, 782, 2665, 513, 3009, 4759, 786, 581, 1459, 269, 589, 3009, 1871, 540, 4642, 6920, 1967, 269, 7102, 824, 1871, 6920, 606, 5470, 563, 4002, 1967, 519, 32227, 1843, 1267, 786, 1331, 513, 25216, 4759, 602, 568, 606, 5044, 540, 519, 8100, 547, 782, 751, 25216, 5638, 563, 2252, 606, 681, 2839, 729, 9138, 538, 519, 13214, 1287, 513, 7759, 4759, 786, 849, 581, 3769, 538, 519, 1267, 8629, 563, 2252, 606, 5470, 4386, 1282, 3948, 4393, 610, 519, 3948, 568, 711, 4570, 519, 32227, 1843, 1267, 786, 1331, 513, 5470, 4759, 10503, 519, 5470, 269, 0, 1103, 513, 942, 543, 1747, 1141, 9322, 540, 782, 7606, 568, 6026, 607, 606, 1898, 585, 519, 2104, 540, 938, 1158, 267, 621, 781, 3592, 4652, 29342, 1043, 547, 9787, 519, 16897, 540, 519, 14195, 269, 3776, 2197, 568, 4421, 2390, 519, 10206, 2221, 602, 782, 2367, 5963, 941, 2813, 3160, 269, 10251, 972, 616, 930, 1004, 538, 713, 1158, 945, 1869, 3494, 602, 547, 581, 513, 6071, 6644, 269, 1717, 267, 609, 2221, 781, 3450, 543, 2645, 267, 594, 3494, 649, 616, 3927, 2324, 512, 3581, 14874, 7522, 16490, 3206, 563, 13981, 827, 519, 14195, 814, 5280, 803, 547, 1174, 602, 1480, 7919, 616, 5827, 540, 796, 20459, 762, 13842, 269, 4014, 621, 666, 581, 11130, 602, 519, 9082, 9525, 538, 519, 2621, 540, 519, 14195, 941, 1759, 9003, 454, 517, 6766, 3206, 267, 594, 1265, 621, 2182, 547, 3494, 454, 1415, 821, 568, 5827, 540, 971, 646, 29532, 10963, 1510, 930, 8247, 269, 22628, 543, 6217, 519, 2984, 540, 3470, 1853, 781, 2833, 13264, 1250, 2295, 269, 24651, 519, 10413, 538, 972, 9739, 543, 519, 4250, 538, 741, 4064, 607, 789, 1928, 14673, 569, 973, 9464, 4090, 1310, 4090, 267, 729, 3592, 547, 1454, 585, 803, 547, 11953, 563, 296, 723, 1831, 3222, 602, 972, 616, 1869, 3742, 2516, 2221, 602, 3494, 538, 513, 9120, 5198, 267, 1175, 607, 13609, 1705, 269, 670, 622, 568, 1869, 9800, 2221, 538, 519, 12271, 540, 1082, 3425, 267, 543, 8259, 649, 3136, 547, 4001, 519, 4245, 649, 723, 4121, 689, 519, 14195, 267, 621, 786, 3136, 547, 1332, 543, 1821, 712, 1022, 2631, 540, 9322, 649, 723, 6591, 269, 594, 1745, 18507, 594, 729, 6026, 971, 513, 3992, 267, 543, 1544, 593, 8429, 621, 1524, 547, 5108, 1310, 5108, 563, 9802, 649, 2760, 7340, 1346, 945, 4503, 741, 2729, 547, 13842, 267, 543, 1346, 945, 11542, 593, 519, 12939, 540, 2669, 267, 1152, 547, 20630, 621, 538, 519, 1439, 563, 8923, 6443, 5530, 300, 1712, 547, 1224, 519, 2407, 3561, 0, 7212, 5185, 609, 2042, 538, 519, 2250, 267, 519, 2069, 1062, 538, 32678, 568, 1818, 606, 16529, 4674, 547, 12492, 4008, 7862, 543, 2333, 2038, 17263, 7924, 267, 607, 7000, 676, 513, 476, 1001, 277, 6167, 32019, 1353, 269, 8729, 547, 2229, 3292, 6322, 693, 5355, 2596, 2069, 543, 9001, 18960, 3450, 2409, 267, 7924, 3928, 538, 32678, 5365, 4191, 540, 6454, 563, 4415, 513, 2551, 540, 811, 982, 476, 1556, 2929, 267, 32678, 568, 519, 1034, 29822, 20651, 2197, 538, 4000, 267, 543, 3368, 540, 922, 2551, 568, 896, 476, 1240, 269, 2060, 971, 513, 1804, 2146, 540, 1762, 1004, 267, 519, 6454, 543, 23425, 540, 2069, 2429, 519, 2197, 568, 4105, 585, 922, 14227, 1646, 269, 32678, 779, 2229, 2418, 2069, 607, 2565, 585, 12560, 1646, 267, 543, 814, 3976, 2799, 922, 28286, 618, 538, 519, 3084, 6578, 689, 476, 1704, 2600, 630, 1001, 273, 268, 1001, 274, 264, 547, 476, 2420, 2600, 630, 1001, 278, 268, 1001, 279, 1916, 305, 342, 7701, 814, 10150, 513, 6175, 538, 6710, 936, 519, 2250, 476, 736, 1296, 267, 10483, 676, 2804, 2208, 543, 24567, 2069, 4441, 269, 634, 2197, 814, 849, 8179, 547, 2087, 2069, 676, 2519, 593, 1883, 2591, 971, 607, 6749, 719, 3928, 267, 4116, 2866, 543, 519, 6454, 540, 3872, 2645, 585, 2027, 2115, 1453, 563, 10303, 540, 891, 3646, 547, 2087, 2069, 267, 7924, 3928, 538, 32678, 723, 2799, 20406, 269, 7216, 17263, 7924, 3292, 1445, 593, 3450, 1453, 538, 741, 5065, 1893, 540, 918, 4176, 541, 342, 7701, 267, 799, 1287, 5170, 883, 4245, 538, 3943, 543, 2296, 269, 8178, 906, 8612, 602, 1453, 941, 7494, 4299, 676, 519, 6454, 538, 741, 1565, 5054, 543, 519, 2164, 540, 19829, 2866, 563, 1607, 11428, 547, 2069, 568, 9878, 1055, 1107, 32678, 814, 519, 5207, 3119, 1153, 27350, 2557, 540, 1022, 2197, 538, 4000, 267, 543, 814, 6913, 4008, 26027, 538, 10026, 2069, 3292, 267, 609, 6690, 685, 27350, 2965, 2362, 630, 7176, 2600, 264, 982, 8695, 685, 630, 4817, 2600, 1040, 769, 6281, 2069, 267, 6690, 1631, 17663, 476, 7367, 2600, 540, 19801, 1053, 563, 2467, 616, 1869, 513, 1906, 2591, 6849, 519, 27431, 663, 534, 1153, 1062, 269, 5753, 538, 6917, 2127, 267, 607, 1134, 607, 1346, 4535, 1282, 610, 16172, 1310, 519, 476, 1960, 275, 21393, 267, 616, 2484, 3297, 538, 7924, 543, 3668, 1569, 547, 2298, 2069, 269, 6167, 32019, 814, 1336, 602, 4116, 2866, 543, 15366, 9525, 616, 1079, 1883, 2188, 538, 5355, 2069, 538, 6917, 32678, 563, 8601, 23665, 547, 5355, 922, 2069, 1062, 267, 32678, 568, 1818, 1390, 3356, 538, 5355, 519, 2729, 540, 922, 1453, 269, 2060, 4797, 1445, 593, 6917, 1153, 1949, 267, 19829, 2866, 543, 2038, 17263, 2542, 3292, 267, 922, 2229, 6763, 547, 7794, 543, 12954, 606, 3003, 5108, 540, 1762, 8186, 269, 1403, 519, 8375, 7924, 3928, 538, 32678, 616, 1022, 8086, 540, 519, 18330, 540, 519, 2197, 779, 1453, 267, 789, 786, 1265, 789, 723, 1152, 519, 6607, 607, 519, 3970, 563, 1700, 14667, 21244, 0, 2690, 6502, 267, 4928, 19019, 814, 15538, 540, 9499, 267, 1082, 31940, 543, 513, 25879, 4580, 269, 32167, 2812, 941, 2838, 543, 3743, 585, 2185, 9499, 543, 31940, 267, 3767, 267, 519, 3068, 540, 6044, 814, 4957, 269, 19019, 814, 1044, 9927, 689, 519, 2757, 5943, 540, 1565, 547, 513, 811, 7493, 543, 4359, 3942, 540, 1565, 269, 5221, 519, 1158, 568, 14027, 547, 3152, 17909, 540, 2029, 267, 3610, 616, 3743, 585, 14237, 267, 3395, 543, 1319, 1005, 10453, 883, 1373, 4628, 5827, 1599, 2818, 540, 2486, 563, 27645, 786, 6536, 543, 5351, 10453, 883, 4742, 1134, 268, 18164, 476, 2641, 590, 4306, 2540, 4961, 676, 23889, 2029, 20553, 519, 6437, 543, 19019, 269, 23889, 1007, 2157, 540, 2029, 547, 7520, 1565, 538, 519, 4928, 786, 711, 1152, 3986, 4928, 6044, 267, 621, 786, 849, 3132, 2818, 540, 2486, 945, 814, 513, 1991, 1702, 540, 519, 1585, 3029, 540, 2029, 543, 875, 789, 7500, 269, 2290, 540, 519, 1034, 7533, 2694, 540, 513, 3811, 14292, 4928, 568, 2029, 269, 1306, 1279, 607, 972, 568, 513, 2312, 3483, 585, 519, 946, 540, 2029, 1282, 6044, 267, 898, 786, 581, 4105, 5057, 538, 519, 4928, 563, 2467, 616, 1896, 2081, 2029, 666, 581, 1031, 769, 519, 4928, 547, 7520, 543, 3986, 1565, 269, 14190, 532, 10453, 547, 12840, 7493, 2035, 1210, 623, 6758, 607, 606, 5351, 547, 3914, 3280, 3664, 282, 3610, 1210, 3561, 12514, 547, 2203, 32462, 10526, 585, 3308, 6267, 282, 543, 13868, 3819, 268, 518, 848, 12545, 609, 12829, 12545, 616, 782, 6639, 7760, 602, 616, 1031, 547, 7520, 1565, 269, 30459, 21181, 883, 519, 4928, 6770, 1565, 547, 1272, 269, 3955, 716, 532, 2029, 267, 971, 607, 2029, 2306, 1565, 811, 2502, 543, 11791, 563, 2304, 928, 19846, 331, 267, 513, 1126, 18673, 2829, 602, 609, 519, 946, 540, 623, 6758, 267, 1082, 1053, 1451, 811, 7561, 543, 814, 513, 811, 4977, 1620, 540, 7493, 2035, 892, 630, 289, 534, 476, 1001, 271, 1040, 2060, 519, 946, 540, 623, 6758, 769, 519, 4928, 3610, 786, 2322, 10453, 538, 2516, 267, 2285, 873, 606, 7493, 2035, 609, 606, 14950, 543, 1450, 10453, 547, 960, 998, 519, 1966, 15217, 609, 519, 14950, 607, 513, 4199, 269, 4635, 713, 4640, 711, 1152, 16881, 1565, 267, 621, 849, 7472, 1272, 17489, 5578, 5036, 602, 10453, 786, 991, 971, 607, 2500, 2792, 267, 519, 946, 540, 2029, 267, 543, 2565, 3206, 563, 27645, 786, 5000, 21934, 13783, 1851, 10453, 547, 4228, 519, 7997, 540, 9938, 2711, 1646, 269, 769, 1840, 547, 30459, 623, 6758, 267, 3610, 786, 946, 3561, 12514, 607, 3308, 11269, 547, 9781, 10526, 269, 4065, 11096, 9372, 267, 7033, 645, 1737, 548, 267, 2829, 267, 968, 1492, 3561, 8254, 568, 606, 6946, 5057, 538, 9781, 1543, 268, 1808, 2326, 547, 1053, 685, 4948, 685, 630, 289, 1737, 548, 476, 1001, 273, 1040, 634, 4116, 786, 2932, 513, 3621, 4603, 543, 946, 519, 3561, 8254, 607, 3308, 1879, 519, 4116, 1281, 713, 267, 10453, 786, 1246, 2059, 267, 4758, 873, 3308, 4287, 3079, 540, 3807, 13047, 563, 12234, 267, 3610, 666, 946, 519, 3561, 8254, 547, 1711, 3308, 3631, 585, 10453, 538, 1585, 1543, 268, 1808, 2127, 269, 11334, 786, 946, 3561, 12514, 538, 2979, 547, 1459, 3308, 6041, 540, 10442, 7215, 269, 11334, 786, 946, 519, 3561, 8254, 607, 513, 3308, 1797, 585, 10453, 547, 1246, 2059, 538, 2542, 1570, 269, 11334, 786, 946, 519, 3561, 8254, 543, 10453, 786, 1732, 1174, 1018, 568, 1373, 2838, 547, 581, 3811, 543, 547, 1831, 18164, 540, 519, 3044, 602, 568, 1373, 6026, 563, 13010, 267, 12829, 12545, 786, 581, 1031, 547, 2417, 7520, 1565, 269, 634, 12829, 4604, 568, 1031, 607, 4062, 540, 2029, 547, 4497, 10453, 883, 1565, 538, 1585, 3029, 982, 519, 2757, 11000, 267, 4063, 268, 6998, 1505, 269, 27239, 4210, 534, 543, 1325, 2581, 645, 1633, 267, 3872, 3173, 267, 723, 6594, 543, 11943, 602, 519, 12829, 4604, 568, 3015, 547, 782, 1565, 6163, 543, 621, 568, 16363, 1646, 958, 3617, 585, 711, 1152, 1367, 10453, 267, 3276, 585, 10319, 1565, 607, 1134, 630, 306, 9774, 476, 1220, 278, 1916, 306, 9774, 2417, 1533, 779, 602, 968, 27319, 12545, 3854, 3278, 593, 519, 1871, 540, 2789, 11269, 543, 14839, 585, 3450, 2979, 543, 2257, 2035, 547, 1762, 1453, 543, 849, 16881, 1514, 2090, 543, 7924, 1565, 607, 649, 5532, 2592, 547, 1257, 543, 26203, 1239, 267, 5961, 267, 543, 22203, 892, 630, 306, 9774, 476, 1220, 278, 1040, 11334, 786, 946, 519, 12829, 4425, 1841, 607, 513, 1797, 547, 2932, 1585, 2238, 602, 786, 581, 10710, 543, 5219, 1394, 547, 607, 513, 1797, 547, 1201, 1393, 610, 6961, 8367, 269, 634, 4116, 786, 849, 946, 519, 12829, 4604, 547, 1711, 543, 10891, 1239, 602, 666, 581, 5693, 9916, 676, 519, 3003, 4928, 540, 10453, 563, 2691, 3610, 946, 519, 12829, 4604, 267, 621, 786, 2333, 519, 1297, 540, 7589, 543, 4928, 9525, 269, 11334, 786, 723, 547, 581, 5499, 543, 5812, 609, 10453, 547, 2327, 3811, 2164, 269, 23889, 2029, 883, 519, 4928, 814, 922, 5294, 607, 1134, 607, 922, 931, 269, 5303, 786, 581, 1031, 547, 2417, 4434, 519, 2247, 540, 22679, 3931, 1762, 10453, 269, 5303, 786, 849, 581, 1031, 547, 2417, 16491, 10453, 585, 1018, 568, 2877, 585, 2104, 13120, 1310, 3446, 1153, 269, 1717, 267, 952, 3610, 798, 711, 723, 513, 1808, 3483, 585, 519, 946, 540, 2029, 267, 621, 1223, 2014, 2800, 547, 10453, 563, 294, 1516, 10453, 1932, 1454, 15698, 609, 2029, 666, 1267, 538, 11539, 689, 519, 960, 602, 729, 2838, 540, 519, 20194, 267, 513, 2530, 540, 1719, 538, 1018, 519, 4116, 568, 3843, 547, 1205, 10453, 547, 1451, 267, 543, 1256, 513, 8488, 538 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6293, 538, 519, 2014, 540, 10336, 6963, 269, 634, 17137, 29211, 538, 27510, 519, 3350, 543, 676, 476, 9965, 271, 338, 7890, 1533, 729, 538, 519, 2797, 1769, 1101, 538, 4789, 543, 5555, 2968, 513, 2101, 2797, 2339, 547, 782, 7262, 7239, 269, 634, 3350, 8507, 538, 513, 1713, 6963, 540, 3652, 543, 1646, 585, 17396, 24866, 454, 763, 3703, 10336, 1062, 814, 606, 27763, 1686, 267, 543, 1454, 540, 922, 4282, 849, 3029, 6402, 1369, 519, 1949, 540, 824, 2477, 269, 10456, 543, 10751, 585, 1346, 602, 1185, 8149, 10963, 941, 16431, 5551, 1256, 1282, 519, 10120, 5712, 543, 972, 568, 2963, 547, 1489, 713, 3409, 269, 1306, 2038, 607, 519, 10120, 5712, 3146, 2536, 2590, 547, 607, 2038, 607, 519, 476, 276, 628, 2540, 267, 19020, 2409, 540, 10751, 971, 607, 546, 3497, 902, 941, 2938, 547, 723, 1044, 5645, 856, 269, 634, 946, 540, 546, 25128, 976, 729, 849, 538, 1747, 267, 543, 713, 1223, 581, 9833, 607, 519, 2038, 267, 27503, 16809, 540, 2348, 513, 9744, 602, 1223, 3180, 1346, 602, 1185, 26991, 519, 1876, 269, 1635, 519, 476, 1015, 628, 2540, 2409, 540, 10751, 585, 1346, 602, 8149, 1055, 1878, 941, 2907, 7444, 9687, 267, 585, 1383, 267, 811, 11375, 636, 2033, 2409, 1185, 24111, 971, 607, 519, 11944, 540, 16304, 269, 898, 568, 0, 763, 4139, 21619, 874, 698, 807, 10791, 9208, 5314, 19541, 630, 2839, 9169, 296, 264, 729, 8547, 547, 1020, 519, 3486, 3044, 5314, 16166, 547, 4766, 9403, 21524, 1881, 3536, 543, 5394, 2989, 15559, 1031, 676, 1004, 609, 21619, 874, 698, 807, 563, 763, 9517, 9169, 296, 9730, 1336, 602, 513, 1297, 540, 2477, 1185, 2919, 741, 1378, 2039, 540, 21619, 874, 698, 807, 4441, 1210, 1114, 10297, 267, 2338, 543, 2157, 269, 4658, 609, 21619, 874, 698, 807, 949, 2097, 2066, 513, 14845, 5044, 540, 2165, 514, 3098, 585, 1022, 835, 11098, 540, 4235, 971, 607, 715, 20973, 267, 5204, 14442, 267, 5426, 476, 5611, 267, 543, 631, 843, 569, 774, 1157, 563, 763, 9517, 9169, 296, 9730, 814, 2813, 513, 8471, 21619, 874, 698, 807, 2732, 5943, 9967, 540, 476, 279, 2157, 585, 1426, 543, 4235, 269, 10738, 713, 5943, 267, 15559, 616, 1631, 3989, 607, 910, 6094, 630, 25583, 476, 271, 1070, 5594, 5394, 630, 25583, 476, 272, 1070, 7646, 569, 5394, 630, 25583, 476, 273, 1070, 26815, 5394, 630, 25583, 476, 274, 1070, 543, 5393, 5394, 630, 25583, 476, 275, 1916, 2414, 1265, 856, 811, 827, 9517, 9169, 296, 4945, 1934, 0, 763, 700, 6072, 10046, 540, 7203, 637, 323, 21807, 538, 15168, 565, 7322, 454, 763, 23419, 2095, 540, 7203, 637, 323, 21807, 12090, 538, 519, 2295, 540, 15168, 565, 7322, 269, 15907, 476, 1789, 267, 1822, 1296, 3516, 267, 621, 729, 519, 21836, 23419, 2095, 538, 519, 661, 604, 601, 547, 5066, 1524, 519, 14860, 693, 513, 1434, 476, 272, 267, 1911, 9180, 563, 300, 565, 1084, 23419, 14380, 689, 519, 3618, 781, 12933, 269, 634, 14466, 523, 330, 879, 548, 524, 5407, 18962, 568, 4646, 609, 513, 28188, 2282, 519, 16189, 614, 2917, 325, 1564, 523, 269, 3414, 18015, 538, 519, 12373, 558, 924, 4224, 267, 606, 11999, 856, 6503, 540, 23419, 4386, 538, 519, 1858, 540, 519, 670, 698, 1564, 330, 879, 548, 269, 634, 25183, 1570, 533, 2293, 5045, 2072, 883, 519, 19109, 961, 14860, 269, 769, 513, 2034, 5123, 267, 519, 14860, 568, 4904, 909, 676, 519, 23419, 13999, 543, 513, 2067, 19109, 961, 13111, 3029, 607, 513, 6281, 1106, 269, 2991, 1082, 1296, 267, 513, 1007, 5757, 5127, 568, 25653, 5045, 540, 519, 23419, 2095, 910, 519, 546, 25428, 10720, 7962, 625, 563, 1103, 519, 11175, 1686, 540, 519, 942, 267, 519, 7203, 637, 323, 21807, 23419, 2095, 5129, 513, 9645, 1909, 1317, 621, 6035, 513, 14860, 4087, 6870, 689, 519, 17160, 540, 519, 19109, 961, 269, 4014, 972, 616, 1100, 32665, 9060, 267, 621, 568, 1753, 547, 519, 4102, 4936, 11175, 538, 519, 15168, 565, 7322, 1858, 267, 519, 966, 8759, 7203, 629, 617, 529, 267, 538, 519, 7525, 25610, 540, 799, 7671, 880, 17260, 2919, 267, 689, 799, 7203, 637, 323, 21807, 8057, 563, 4415, 519, 4070, 540, 519, 16749, 1899, 538, 519, 476, 866, 628, 2540, 267, 2694, 540, 519, 23419, 2095, 543, 922, 7516, 2968, 7298, 269, 4653, 267, 15244, 540, 519, 7203, 637, 323, 21807, 23419, 2095, 616, 1869, 7298, 267, 2523, 538, 519, 1858, 540, 519, 15168, 565, 7322, 838, 320, 10651, 269, 0, 2171, 782, 917, 602, 10438, 7050, 5666, 540, 4006, 3884, 1405, 1434, 585, 938, 1072, 269, 2755, 621, 781, 15502, 547, 32696, 538, 13000, 12212, 267, 26724, 8770, 11656, 3536, 899, 5613, 267, 19787, 267, 543, 10709, 5946, 568, 1883, 585, 9319, 5312, 2068, 269, 9578, 267, 1932, 1454, 4006, 666, 4734, 596, 4743, 1447, 982, 1390, 269, 1809, 1934, 781, 1018, 596, 949, 711, 8275, 281, 4006, 1522, 849, 723, 513, 2942, 1764, 593, 707, 7633, 563, 1103, 713, 2376, 267, 596, 3513, 1451, 827, 4006, 543, 922, 1764, 593, 5642, 1072, 865, 596, 666, 1118, 2635, 5079, 585, 707, 1560, 563, 1432, 568, 17491, 888, 4131, 779, 1376, 609, 519, 9238, 281, 4006, 568, 513, 19346, 602, 938, 4703, 6460, 883, 7280, 585, 1648, 269, 1879, 649, 2911, 827, 12145, 4006, 538, 938, 2732, 267, 649, 5097, 1611, 3773, 14836, 269, 1452, 616, 14836, 602, 616, 3773, 547, 3536, 543, 16098, 1282, 4393, 610, 7041, 267, 711, 899, 519, 4006, 6923, 1336, 538, 3536, 899, 4829, 630, 305, 2089, 324, 267, 476, 1001, 277, 1916, 306, 13610, 814, 1082, 824, 4408, 267, 799, 666, 1118, 621, 16602, 547, 5544, 593, 12146, 10297, 269, 2368, 1455, 3029, 540, 3773, 14836, 1331, 912, 268, 4400, 535, 28229, 8970, 21360, 454, 268, 9466, 7573, 21360, 454, 268, 631, 5306, 21360, 454, 268, 595, 2033, 10433, 454, 2005, 779, 849, 4502, 15663, 602, 1247, 930, 12478, 949, 2119, 547, 6133, 3029, 540, 4006, 899, 25308, 21360, 267, 989, 1511, 267, 610, 9932, 607, 513, 8902, 3903, 267, 2899, 596, 3548, 873, 267, 891, 2010, 540, 6653, 22211, 723, 519, 1482, 1198, 593, 707, 1560, 607, 2834, 4006, 563, 306, 13610, 543, 4706, 6356, 593, 519, 10610, 454, 306, 1872, 1513, 616, 1101, 2007, 6479, 609, 519, 948, 540, 11476, 538, 519, 5023, 543, 1287, 2417, 7745, 1524, 676, 7181, 7408, 543, 1256, 811, 11476, 269, 2659, 1560, 5402, 21560, 875, 1454, 4006, 13978, 538, 707, 1973, 269, 4495, 4006, 3762, 519, 1507, 16892, 543, 13788, 519, 18072, 267, 621, 12153, 519, 18558, 547, 5305, 7378, 269, 6184, 6081, 568, 513, 9449, 602, 2337, 1847, 4006, 689, 707, 1973, 883, 707, 1560, 779, 2281, 547, 581, 1031, 585, 1648, 630, 295, 656, 345, 573, 3554, 656, 529, 267, 476, 1708, 273, 1916, 15152, 3339, 2175, 267, 519, 1560, 666, 6023, 891, 15088, 538, 1973, 4006, 2157, 3927, 269, 1403, 713, 1062, 568, 856, 540, 3666, 543, 1973, 4006, 13978, 1164, 267, 621, 666, 1291, 547, 1072, 2042, 899, 7378, 4187, 610, 3987, 630, 30537, 267, 476, 1708, 273, 994, 11900, 6081, 4187, 1797, 519, 2281, 1810, 1406, 4431, 547, 7378, 607, 789, 1058, 610, 519, 1560, 3085, 1406, 1118, 2614, 7378, 269, 6184, 6081, 4187, 4679, 519, 1981, 540, 3384, 1826, 476, 273, 3987, 267, 2295, 2068, 267, 543, 824, 1072, 2175, 267, 855, 972, 781, 849, 513, 2673, 4276, 1063, 3987, 543, 5642, 2530, 269, 4400, 1973, 4006, 568, 2404, 609, 20214, 538, 5642, 5860, 543, 606, 2799, 1981, 540, 18655, 630, 300, 2632, 1725, 8643, 267, 476, 1001, 272, 1916, 306, 13610, 543, 24942, 2657, 454, 22137, 723, 1336, 602, 4006, 1606, 11548, 2989, 16098, 267, 899, 14614, 267, 6653, 2989, 29225, 267, 610, 4829, 10433, 609, 3773, 4006, 267, 616, 2404, 609, 1713, 20214, 538, 2898, 23073, 5642, 7777, 5860, 630, 289, 13270, 264, 630, 288, 18255, 267, 476, 1708, 272, 1040, 645, 13270, 568, 513, 6482, 540, 5642, 4222, 543, 568, 1031, 547, 2268, 21404, 610, 11560, 13449, 807, 269, 4033, 2090, 723, 1336, 602, 6704, 14614, 568, 2404, 609, 606, 2799, 1981, 540, 18655, 630, 13312, 301, 545, 565, 656, 517, 1470, 267, 476, 1001, 279, 1916, 288, 13654, 2601, 602, 4006, 949, 3565, 547, 4057, 5642, 1072, 568, 602, 1164, 1606, 13610, 3536, 610, 10425, 949, 1491, 519, 1747, 540, 824, 3536, 602, 1683, 1271, 5567, 585, 5642, 1072, 269, 1809, 972, 949, 581, 824, 2188, 585, 519, 3095, 1063, 4006, 543, 5642, 1072, 607, 1134, 269, 1280, 1383, 267, 930, 2090, 723, 1336, 602, 4006, 1223, 2333, 519, 608, 17917, 540, 1898, 5567, 630, 3697, 7513, 267, 13101, 267, 543, 11379, 264, 689, 707, 1560, 630, 13312, 301, 545, 565, 656, 517, 1470, 267, 476, 1001, 279, 1040, 1452, 6886, 616, 4105, 585, 4509, 2178, 543, 2635, 7633, 563, 2467, 779, 849, 513, 2673, 2078, 1063, 7378, 543, 5642, 1072, 267, 543, 930, 1382, 5267, 602, 1164, 7378, 2157, 666, 15936, 609, 519, 3339, 556, 25388, 1632, 540, 6886, 899, 7513, 630, 290, 760, 6929, 328, 267, 476, 1708, 271, 1040, 769, 25691, 267, 799, 568, 1419, 2404, 609, 7378, 4187, 543, 11326, 1164, 538, 15568, 4006, 267, 568, 849, 5532, 547, 5642, 2530, 543, 5642, 759, 26975, 630, 292, 1186, 2917, 267, 476, 1708, 272, 1916, 306, 13610, 543, 27777, 18576, 454, 15703, 2090, 723, 4448, 1164, 1606, 13610, 267, 1164, 19339, 11326, 547, 606, 2799, 1981, 540, 21404, 269, 13038, 2090, 723, 1336, 513, 4276, 1063, 513, 5375, 2732, 4806, 267, 799, 11148, 547, 581, 2362, 538, 4006, 267, 547, 2362, 3928, 540, 21404, 543, 5642, 18655, 538, 2021, 630, 300, 684, 9926, 8566, 541, 778, 267, 476, 1708, 271, 1916, 1103, 824, 1913, 267, 972, 616, 2789, 2081, 4006, 666, 1764, 5642, 1072, 267, 1818, 621, 606, 1271, 3815, 547, 2015, 950, 12570, 519, 2949, 1981, 585, 3676, 899, 21404, 543, 11560, 13449, 807, 563, 1692, 13518, 17491, 568, 18320, 13518, 888, 6097, 547, 519, 1977, 9839, 5948, 267, 2021, 1058, 3970, 741, 3232, 4006, 6981, 547, 1100, 811, 982, 476, 277, 2600, 540, 2698, 8477, 267, 799, 568, 1472, 476, 1911, 8477, 610, 3670, 18324, 9398, 267, 593, 3328, 269, 1280, 2367, 267, 519, 5227, 3970, 568, 1100, 811, 982, 8370, 18324, 9398, 610, 1472, 476, 5611, 8477, 829, 1554, 630, 288, 11190, 267, 476, 1708, 272, 1916, 763, 26678, 13832, 585, 4892, 4363, 12145, 4006, 547, 1100, 811, 982, 476, 1015, 2600, 540, 2698, 8477, 269, 1280, 2576, 945, 22655, 476, 1220, 271, 8477, 267, 713, 11224, 827, 476, 1220, 8477, 513, 1554, 630, 4785, 6395, 267, 476, 1708, 271, 1916, 292, 2416, 1259, 267, 621, 568, 1271, 547, 581, 13533, 540, 707, 4006, 6981, 543, 1118, 8902, 5079, 547, 2569, 519, 1761, 1764, 593, 707, 5642, 1072, 563, 13349, 17796, 540, 17491, 454, 2791, 666, 1265, 4006, 6456, 538, 782, 5686, 540, 3536, 267, 689, 27156, 547, 10571, 902, 543, 1256, 3694, 269, 1809, 267, 519, 1034, 1455, 2959, 540, 3773, 4006, 538, 519, 2475, 1331, 630, 4785, 6395, 267, 476, 1708, 271, 2187, 268, 17491, 1606, 11548, 2989, 16098, 267, 1519, 7091, 553, 267, 4829, 10425, 267, 543, 1648, 610, 5026, 16098, 563, 268, 15443, 344, 543, 14836, 563, 268, 16505, 9724, 24799, 543, 13063, 563, 268, 21690, 2989, 18506, 543, 5144, 563, 268, 667, 17143, 338, 543, 6653, 16152, 899, 12897, 267, 6960, 625, 267, 14859, 22756, 267, 14735, 267, 610, 4672, 8645, 454, 306, 13610, 10201, 2510, 2334, 3657, 14568, 585, 2659, 645, 2158, 454, 2252, 596, 2811, 3843, 547, 2759, 1394, 593, 4006, 855, 1869, 2648, 513, 2370, 29284, 267, 596, 798, 723, 3681, 269, 21862, 807, 543, 31494, 4829, 616, 2067, 6653, 22211, 602, 723, 1831, 811, 2442, 538, 2487, 1296, 269, 1358, 1039, 513, 6653, 8137, 1510, 1022, 3606, 8477, 610, 1764, 593, 1973, 4006, 2157, 563, 5194, 4781, 568, 547, 946, 2898, 5613, 899, 15708, 267, 7389, 267, 543, 20397, 547, 6923, 6653, 523, 3536, 543, 16098, 269, 1452, 3681, 849, 1683, 3773, 5567, 899, 8324, 267, 6886, 267, 543, 6775, 267, 799, 666, 4324, 5642, 1072, 563, 763, 645, 18847, 7412, 593, 17491, 543, 24942, 2657, 454, 306, 13610, 666, 723, 513, 2942, 1764, 593, 5642, 1072, 952, 10057, 538, 7050, 5666, 269, 8347, 547, 3970, 707, 6981, 540, 3773, 14836, 1247, 1519, 513, 3099, 540, 8770, 11656, 3536, 538, 707, 2732, 269, 1403, 596, 723, 513, 6653, 5694 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 851, 540, 513, 2898, 610, 267, 811, 3622, 267, 1022, 1297, 540, 3160, 2694, 269, 1879, 9275, 538, 4948, 2296, 267, 513, 6824, 6257, 875, 1082, 2694, 540, 513, 1978, 2450, 972, 616, 267, 585, 1383, 267, 835, 28451, 267, 5216, 4429, 281, 2608, 6404, 1003, 1968, 281, 27661, 516, 701, 908, 8918, 589, 18110, 8918, 610, 18596, 8918, 568, 8918, 6041, 540, 513, 1297, 4171, 9704, 616, 13350, 630, 516, 701, 908, 922, 2418, 693, 2834, 11996, 264, 543, 519, 28222, 7368, 6712, 568, 711, 4642, 269, 898, 666, 581, 3254, 602, 513, 1297, 568, 7787, 952, 606, 4429, 6748, 513, 24064, 1529, 636, 281, 2608, 18110, 8918, 1210, 454, 8001, 12330, 589, 31455, 568, 2901, 540, 1079, 7381, 2062, 268, 610, 1394, 1922, 5217, 18685, 7436, 4122, 1031, 547, 20586, 513, 10126, 540, 1257, 610, 1239, 689, 922, 10450, 269, 15380, 18611, 538, 21136, 8424, 267, 606, 1367, 31455, 949, 581, 4857, 607, 513, 1412, 3847, 262, 610, 1412, 337, 4429, 281, 27661, 11666, 4240, 6824, 769, 6128, 267, 513, 4797, 6824, 568, 606, 4082, 5833, 998, 606, 27952, 1184, 540, 8204, 513, 1297, 607, 519, 2040, 540, 922, 8870, 851, 543, 519, 23483, 540, 1776, 1297, 267, 1287, 1603, 713, 824, 1297, 607, 519, 2040, 540, 922, 703, 324, 613, 4429, 6748, 2757, 1462, 2762, 281, 2608, 4797, 6824, 538, 28484, 10035, 281, 2608, 12266, 6824, 281, 2608, 6305, 1379, 17883, 281, 2608, 10839, 10035, 281, 616, 1114, 2081, 547, 2099, 519, 1482, 7787, 1871, 780, 293, 5436, 4070, 692, 763, 7787, 2338, 949, 581, 3710, 607, 454, 3225, 2526, 775, 1362, 769, 6128, 267, 950, 519, 2609, 540, 930, 1305, 590, 723, 513, 10206, 540, 30424, 630, 845, 531, 1242, 607, 606, 30424, 6935, 1070, 1287, 835, 949, 6923, 8237, 519, 1305, 590, 883, 30424, 5049, 269, 1452, 30424, 5049, 616, 9112, 865, 602, 2609, 513, 4429, 525, 540, 454, 23912, 6292, 769, 6128, 267, 606, 10288, 6292, 630, 5257, 320, 262, 3299, 15234, 321, 5257, 264, 568, 513, 6292, 540, 3615, 269, 634, 1931, 538, 799, 519, 3615, 2408, 538, 519, 6292, 568, 1713, 281, 519, 10288, 6292, 630, 5257, 320, 262, 3299, 15234, 321, 5257, 264, 568, 1114, 689, 519, 10288, 6292, 630, 5257, 321, 262, 3299, 15234, 320, 5257, 264, 8259, 15234, 320, 5257, 815, 15234, 321, 5257, 269, 630, 1103, 598, 4429, 338, 540, 454, 15759, 518, 1323, 8870, 568, 519, 1297, 4642, 630, 1070, 513, 2318, 2067, 1297, 630, 267, 2073, 2073, 3092, 4700, 610, 513, 2942, 8870, 609, 513, 14263, 1129, 630, 6629, 272, 267, 6567, 273, 267, 6567, 274, 267, 3092, 12175, 634, 2942, 2338, 616, 519, 19605, 538, 951, 525, 540, 519, 7222, 2318, 2338, 269, 769, 519, 1658, 698, 4429, 338, 269, 2859, 10502, 267, 1577, 581, 519, 1305, 540, 519, 8424, 540, 9981, 971, 1547, 1323, 454, 3225, 2526, 775, 6935, 769, 6128, 267, 606, 30424, 6935, 568, 513, 9352, 6935, 602, 568, 16846, 633, 267, 21136, 543, 1098, 1438, 269, 634, 16491, 3326, 775, 6935, 1063, 1899, 12415, 538, 9511, 568, 513, 1455, 1383, 540, 606, 30424, 6935, 269, 3962, 30424, 6935, 4429, 529, 3989, 593, 713, 1305, 676, 2433, 4399, 3847, 13375, 9852, 318, 272, 267, 562, 318, 272, 1422, 2431, 9368, 264, 1422, 13678, 1422, 3847, 13375, 9852, 318, 273, 267, 562, 318, 273, 1422, 2431, 9368, 264, 1422, 858, 544, 318, 272, 562, 318, 273, 815, 544, 318, 273, 562, 318, 272, 269, 259, 18827, 543, 8691, 666, 581, 3989, 676, 519, 1739, 3652, 281, 2433, 7445, 3847, 13375, 9852, 318, 272, 267, 562, 318, 272, 9368, 9368, 264, 1341, 1422, 3847, 13375, 9852, 318, 273, 267, 562, 318, 273, 9368, 9368, 264, 1422, 25406, 1422, 3847, 13375, 9852, 318, 272, 333, 318, 273, 1341, 562, 318, 272, 332, 318, 273, 267, 562, 318, 272, 333, 318, 273, 9368, 9368, 1070, 259, 2433, 7445, 3847, 13375, 9852, 318, 272, 267, 562, 318, 272, 9368, 9368, 264, 1422, 9392, 1422, 3847, 13375, 9852, 318, 273, 267, 562, 318, 273, 9368, 9368, 264, 1422, 25406, 1422, 3847, 13375, 9852, 318, 272, 332, 318, 273, 267, 562, 318, 272, 333, 318, 273, 9368, 9368, 1040, 259, 901, 30424, 6935, 568, 513, 454, 322, 784, 745, 775, 6935, 769, 7493, 7223, 267, 513, 17602, 775, 6935, 630, 528, 3274, 17602, 775, 264, 568, 606, 30424, 6935, 593, 606, 15821, 2497, 630, 7945, 607, 513, 1895, 267, 8258, 267, 610, 6152, 2230, 264, 602, 568, 15095, 609, 519, 2497, 538, 519, 2631, 602, 15821, 4238, 2944, 18854, 4429, 267, 799, 1797, 602, 621, 568, 15095, 609, 519, 1840, 543, 8691, 3989, 1657, 282, 519, 1305, 540, 7787, 2338, 568, 519, 3989, 607, 519, 454, 638, 582, 1304, 1305, 769, 6128, 267, 950, 519, 2609, 540, 930, 1305, 590, 723, 513, 10206, 540, 30424, 630, 845, 531, 1242, 607, 606, 30424, 6935, 1070, 1287, 835, 949, 6923, 8237, 519, 1305, 590, 883, 30424, 5049, 269, 1452, 30424, 5049, 616, 9112, 865, 602, 2609, 513, 4429, 2421, 713, 30424, 6935, 267, 2073, 9280, 609, 519, 1840, 543, 519, 8691, 13251, 676, 519, 1657, 4238, 269, 630, 1607, 4070, 666, 581, 5645, 856, 609, 1022, 454, 15759, 1537, 6389, 769, 6128, 267, 4481, 7493, 7223, 267, 606, 7533, 6389, 568, 513, 1875, 14706, 862, 32477, 8258, 538, 799, 519, 1587, 540, 1022, 1079, 1875, 14706, 2609, 568, 1875, 14706, 269, 6715, 1537, 11890, 616, 2489, 3074, 540, 519, 8258, 540, 9981, 543, 1683, 513, 2067, 3936, 4429, 663, 7472, 922, 454, 7615, 540, 8454, 769, 7493, 7223, 267, 519, 2361, 540, 8454, 540, 606, 7533, 6389, 568, 519, 10545, 2361, 630, 3901, 24136, 1070, 2361, 538, 799, 621, 666, 581, 2506, 5523, 3429, 267, 11251, 269, 634, 4070, 540, 519, 2361, 540, 8454, 568, 24018, 593, 519, 2078, 1063, 519, 7533, 798, 4429, 4700, 634, 30424, 1362, 540, 513, 6292, 568, 20922, 1547, 5565, 8424, 543, 4866, 547, 519, 1482, 30424, 1362, 630, 7474, 568, 616, 6697, 264, 952, 543, 1152, 952, 1547, 901, 1797, 602, 952, 543, 1152, 1547, 5272, 30424, 1362, 949, 581, 6719, 676, 28222, 1082, 8424, 267, 2094, 2433, 7445, 26984, 815, 1422, 2765, 815, 1422, 2765, 815, 1422, 2765, 815, 1422, 2765, 815, 1422, 26984, 269, 259, 3962, 30424, 1362, 3568, 513, 2189, 15234, 28138, 11347, 3693, 5257, 269, 634, 28138, 11347, 568, 519, 2189, 6292, 538, 519, 30424, 1362, 971, 602, 543, 616, 454, 19817, 31870, 769, 6128, 267, 1079, 9981, 543, 616, 2941, 31870, 267, 5266, 6305, 610, 20102, 6305, 952, 519, 1152, 2318, 8870, 602, 568, 513, 27708, 540, 1312, 540, 873, 568, 476, 272, 269, 9182, 267, 1022, 6305, 1297, 602, 17337, 1281, 711, 7941, 2073, 543, 13030, 17930, 269, 901, 568, 1226, 643, 1446, 4429, 267, 543, 1547, 898, 568, 1572, 519, 6041, 538, 9803, 2474, 540, 519, 7787, 1297, 269, 634, 9981, 949, 581, 2808, 547, 581, 7787, 2338, 7114, 519, 8870, 609, 519, 7787, 1297, 1547, 589, 454, 20135, 1931, 769, 6128, 267, 513, 2698, 610, 5276, 1931, 568, 513, 9864, 1931, 538, 799, 1022, 1079, 2609, 616, 13380, 269, 2334, 568, 267, 513, 2698, 1931, 568, 513, 9352, 6935, 1422, 19008, 593, 930, 1305, 2473, 267, 799, 25389, 519, 1739, 585, 782, 513, 267, 536, 543, 524, 538, 2473, 281, 1948, 513, 1422, 19008, 513, 630, 16846, 633, 264, 4429, 16673, 581, 3989, 593, 519, 7787, 2338, 267, 602, 11498, 519, 2067, 1931, 540, 519, 9981, 269, 2290, 814, 2433, 7445, 2765, 1422, 548, 1422, 2765, 259, 952, 2433, 7445, 3847, 3799, 318, 272, 333, 318, 273, 3436, 476, 271, 1422, 15153, 1422, 3667, 1422, 15153, 544, 318, 272, 333, 318, 273, 1422, 548, 562, 318, 272, 332, 318, 273, 9368, 9385, 29911, 1422, 3667, 315, 29911, 1422, 3847, 3799, 318, 272, 333, 318, 273, 2999, 476, 271, 1422, 15153, 1422, 3667, 1422, 15153, 544, 318, 272, 333, 318, 273, 1422, 613, 562, 318, 272, 332, 318, 273, 9368, 1040, 6911, 19187, 2906, 692, 763, 1305, 540, 782, 7787, 2338, 267, 1927, 609, 519, 1840, 543, 8691, 4238, 3254, 1657, 267, 3029, 513, 2361, 269, 814, 1100, 454, 7615, 3678, 6973, 1143, 769, 6128, 267, 606, 3678, 6973, 1143, 568, 606, 568, 31532, 689, 513, 6310, 1843, 547, 3294, 269, 898, 568, 267, 538, 930, 2631, 267, 513, 15340, 540, 519, 1843, 267, 543, 513, 1259, 540, 11837, 519, 1843, 547, 3294, 1247, 8497, 782, 540, 922, 2497, 269, 634, 1305, 540, 782, 3678, 6973, 3359, 4429, 1278, 982, 519, 3961, 269, 630, 288, 2361, 3678, 2684, 1143, 1590, 4368, 476, 271, 543, 476, 272, 282, 607, 621, 1590, 4368, 519, 2040, 543, 519, 3017, 540, 1079, 6378, 2609, 267, 621, 1590, 4368, 1169, 8870, 282, 607, 621, 1590, 4368, 519, 23479, 540, 1079, 6378, 2609, 267, 621, 1590, 4368, 1169, 7787, 1297, 267, 543, 568, 3976, 519, 3961, 4700, 568, 513, 454, 18905, 2361, 769, 6128, 267, 519, 8984, 540, 513, 8258, 2073, 1419, 20922, 2073, 568, 3989, 547, 581, 519, 10545, 1297, 540, 2053, 835, 1590, 946, 519, 8258, 781, 3818, 2364, 894, 3961, 630, 272, 264, 538, 513, 2040, 547, 1205, 519, 19605, 3961, 630, 271, 1040, 1403, 713, 2040, 2760, 10301, 519, 19605, 7329, 523, 4429, 267, 799, 568, 513, 2361, 602, 814, 1100, 1016, 7615, 824, 982, 3294, 269, 634, 32311, 1023, 616, 519, 10545, 2361, 609, 8984, 4642, 269, 5272, 2361, 540, 8984, 4642, 3568, 513, 2189, 1016, 7615, 568, 25806, 547, 1547, 2060, 519, 1931, 3989, 1657, 267, 568, 606, 454, 23912, 2361, 769, 6128, 267, 606, 10288, 2361, 568, 513, 2361, 1927, 609, 513, 2698, 19280, 540, 922, 2609, 602, 568, 15095, 609, 519, 2361, 4238, 269, 634, 2596, 1383, 540, 606, 10288, 2361, 568, 519, 2361, 540, 1483, 2338, 267, 543, 1169, 667, 539, 2131, 785, 10687, 10968, 10288, 535, 773, 4429, 7474, 814, 1100, 1016, 7615, 824, 982, 3294, 267, 543, 568, 519, 10545, 10288, 2361, 267, 538, 519, 2631, 602, 1169, 10288, 2361, 3568, 513, 2189, 1016, 7615, 454, 529, 25806, 769, 6128, 267, 606, 568, 31532, 568, 513, 2497, 25535, 6326, 11837, 1063, 1079, 3889, 540, 519, 1482, 1826, 602, 666, 581, 20328, 676, 606, 11201, 11837, 269, 5565, 6310, 3889, 616, 568, 25806, 952, 606, 568, 31532, 6818, 1063, 873, 269, 634, 2262, 568, 334, 4429, 1729, 1547, 568, 519, 454, 7615, 540, 8454, 769, 7493, 7223, 267, 519, 2361, 540, 8454, 540, 606, 7533, 6389, 568, 519, 10545, 2361, 630, 3901, 24136, 1070, 2361, 538, 799, 621, 666, 581, 2506, 5523, 3429, 267, 11251, 269, 634, 4070, 540, 519, 2361, 540, 8454, 568, 24018, 593, 519, 2078, 1063, 519, 7533, 798, 4429, 1993, 519, 454, 15759, 518, 1323, 8870, 568, 519, 1297, 4642, 630, 1070, 513, 2318, 2067, 1297, 630, 267, 2073, 2073, 3092, 4700, 610, 513, 2942, 8870, 609, 513, 14263, 1129, 630, 6629, 272, 267, 6567, 273, 267, 6567, 274, 267, 3092, 12175, 634, 2942, 2338, 616, 519, 19605, 538, 951, 525, 540, 519, 7222, 2318, 2338, 269, 769, 519, 1658, 698, 4429, 338, 1547, 634, 15821, 19479, 540, 2073, 1775, 4318, 269, 519, 2361, 540, 5072, 540, 7787, 21335, 267, 568, 519, 2361, 540, 454, 531, 5040, 545, 1297, 1323, 15821, 1297, 568, 513, 1297, 602, 568, 513, 3597, 540, 513, 1875, 25179, 9971, 538, 835, 4756, 609, 8870, 630, 528, 267, 5973, 1836, 267, 7787, 264, 14170, 269, 1280, 1383, 267, 519, 11344, 5223, 267, 630, 272, 1341, 1422, 6912, 8358, 273, 267, 568, 606, 15821, 1297, 267, 1317, 621, 568, 513, 3597, 540, 519, 1093, 4429, 338, 269, 634, 32311, 1023, 616, 513, 29822, 10288, 1305, 281, 1063, 1022, 1079, 32311, 1023, 267, 972, 18795, 1776, 835, 267, 543, 267, 4061, 267, 28222, 1082, 824, 3283, 269, 1280, 1383, 267, 585, 1022, 1079, 8454, 971, 602, 2433, 7445, 2765, 2999, 1422, 2765, 259, 630, 3602, 1269, 321, 28504, 259, 616, 2318, 1070, 649, 723, 2433, 7445, 2765, 2999, 1422, 2765, 2999, 1422, 2765, 269, 259, 7102, 454, 339, 582, 958, 10288, 769, 6128, 267, 513, 2698, 610, 5276, 1931, 568, 513, 9864, 1931, 538, 799, 1022, 1079, 2609, 616, 13380, 269, 2334, 568, 267, 513, 2698, 1931, 568, 513, 9352, 6935, 1422, 19008, 593, 930, 1305, 2473, 267, 799, 25389, 519, 1739, 585, 782, 513, 267, 536, 543, 524, 538, 2473, 281, 1948, 513, 1422, 19008, 513, 630, 16846, 643, 4429, 3553, 799, 568, 1293 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 273, 315, 541, 551, 534, 7268, 27923, 22491, 5475, 5187, 2305, 713, 3947, 721, 692, 7445, 6234, 1422, 842, 315, 7562, 7268, 12534, 12978, 9385, 15238, 7268, 7562, 7268, 12534, 12978, 4297, 323, 315, 12534, 12978, 315, 1478, 1962, 513, 576, 3189, 14090, 560, 334, 23685, 12534, 12978, 284, 273, 315, 541, 551, 534, 7268, 27923, 264, 4153, 842, 21702, 346, 273, 315, 335, 23313, 2410, 272, 10954, 27923, 317, 273, 4153, 15238, 13375, 7268, 2765, 346, 273, 315, 27923, 2410, 272, 10954, 27923, 317, 273, 4153, 2431, 3738, 315, 2765, 346, 273, 2410, 272, 10954, 27923, 317, 273, 348, 323, 315, 27923, 6911, 1607, 5654, 2186, 540, 30255, 855, 568, 660, 1932, 3983, 1862, 4777, 782, 519, 3768, 821, 960, 1862, 11004, 568, 707, 7533, 692, 275, 269, 594, 1589, 621, 666, 581, 17223, 23182, 10484, 7445, 6234, 1422, 842, 3189, 15238, 630, 343, 9385, 2117, 7562, 1535, 20867, 11459, 18098, 842, 18950, 343, 315, 15238, 1535, 14870, 264, 262, 315, 2117, 7562, 1535, 20867, 11459, 9574, 259, 8754, 519, 7533, 11224, 4399, 6234, 1535, 7268, 15238, 1535, 268, 272, 9385, 2117, 7562, 1535, 10559, 842, 3189, 2765, 12757, 315, 15238, 1535, 14870, 7346, 6912, 346, 272, 14870, 3867, 273, 3686, 4153, 267, 11459, 20467, 259, 3767, 835, 1152, 30128, 827, 4399, 6234, 1422, 842, 21702, 12757, 315, 15238, 1535, 7346, 6912, 346, 272, 14870, 317, 273, 14990, 267, 11459, 267, 259, 8754, 267, 798, 519, 9864, 5610, 543, 649, 1205, 10484, 7445, 6234, 1422, 842, 3189, 2765, 12757, 315, 15238, 1535, 7346, 6912, 346, 272, 14870, 3867, 273, 3686, 4153, 267, 11459, 13157, 10559, 842, 3189, 3847, 263, 1422, 6912, 346, 272, 14870, 3867, 273, 3686, 1422, 2431, 264, 262, 315, 15238, 1535, 20867, 11459, 13157, 10559, 3847, 263, 1422, 6912, 346, 272, 14870, 3867, 273, 14990, 15238, 1535, 10559, 842, 3189, 2765, 3189, 6912, 346, 272, 14870, 3867, 273, 3686, 2410, 343, 4153, 267, 11459, 348, 1422, 2431, 1070, 6911, 3602, 519, 2063, 7533, 568, 10026, 269, 0, 258, 634, 1871, 540, 16009, 263, 1700, 28147, 4113, 264, 568, 2433, 288, 269, 476, 272, 289, 269, 1107, 272, 290, 269, 3980, 508, 291, 269, 476, 271, 692, 10403, 6657, 2060, 4530, 1504, 631, 1442, 18873, 692, 1012, 18169, 1384, 272, 269, 667, 692, 273, 269, 645, 692, 274, 269, 589, 692, 275, 269, 595, 692, 2162, 22043, 8382, 281, 26840, 476, 273, 630, 11405, 12989, 2020, 1607, 2243, 729, 5892, 4280, 538, 692, 301, 9143, 290, 570, 1512, 594, 630, 13900, 323, 2201, 281, 476, 3066, 3057, 476, 1001, 277, 29196, 476, 274, 2020, 1012, 8827, 1384, 13528, 3121, 1384, 11927, 263, 1700, 395, 368, 264, 815, 1107, 16009, 6543, 368, 543, 1109, 11927, 630, 11740, 4113, 1341, 6543, 368, 264, 815, 16009, 6543, 368, 692, 30043, 16009, 263, 1700, 28147, 4113, 264, 815, 1107, 16009, 476, 28147, 4113, 815, 1107, 16009, 263, 11740, 4113, 1341, 476, 3393, 4113, 264, 815, 1107, 16009, 476, 3393, 4113, 815, 1107, 476, 272 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 28299, 667, 17152, 1299, 3794, 1601, 2456, 454, 763, 1670, 543, 11096, 28441, 22335, 543, 9218, 454, 8002, 3351, 23540, 9502, 689, 15610, 667, 17152, 1299, 3794, 1601, 2456, 454, 310, 7364, 2296, 910, 634, 5131, 15610, 454, 8002, 7780, 4106, 31791, 568, 513, 3351, 9107, 3069, 540, 7881, 799, 2829, 602, 267, 950, 5185, 609, 513, 3903, 267, 649, 1590, 1101, 2015, 519, 2693, 4539, 540, 1761, 3527, 543, 267, 689, 602, 267, 3442, 547, 798, 1018, 649, 3494, 786, 5352, 519, 1034, 12257, 269, 2920, 3351, 23540, 568, 10353, 547, 4341, 3351, 23540, 267, 799, 2829, 602, 519, 25432, 1318, 2962, 568, 519, 835, 602, 568, 538, 13076, 609, 513, 5837, 4341, 4171, 2489, 2616, 766, 1131, 1711, 519, 1034, 8788, 269, 2920, 3351, 23540, 786, 946, 519, 5758, 1523, 607, 10353, 547, 519, 2259, 1523, 269, 634, 5758, 1523, 1797, 602, 519, 4341, 568, 513, 31633, 602, 513, 1362, 540, 3527, 267, 971, 607, 519, 5329, 540, 14767, 267, 568, 1434, 563, 347, 8450, 811, 693, 9504, 3820, 1862, 347, 0, 2252, 596, 4076, 1044, 3168, 585, 930, 1164, 1532, 992, 2081, 540, 29405, 532, 824, 4654, 630, 663, 267, 1577, 779, 3068, 621, 267, 596, 2461, 2864, 1164, 1532, 992, 1107, 610, 3274, 2879, 984, 2421, 1107, 952, 596, 4076, 6410, 3564, 3274, 29405, 532, 1004, 547, 29405, 532, 519, 1893, 540, 1767, 1004, 2507, 11779, 540, 1070, 1287, 3627, 21582, 534, 779, 12708, 626, 4112, 534, 725, 568, 519, 1747, 547, 1265, 930, 3903, 2453, 1210, 519, 4542, 968, 23458, 2473, 568, 9247, 1893, 962, 896, 2175, 2098, 3034, 6826, 596, 513, 18373, 29405, 532, 513, 9527, 324, 267, 606, 2296, 2006, 29405, 532, 606, 1977, 610, 3943, 543, 29405, 532, 267, 1134, 267, 4896, 267, 596, 2461, 2386, 547, 1265, 1945, 16798, 547, 1055, 754, 563, 12218, 673, 5824, 568, 9247, 606, 5841, 1893, 25282, 547, 1118, 519, 5175, 3258, 4936, 18211, 7100, 3280, 10995, 563, 1700, 297, 32667, 632, 3288, 28266, 454, 295, 1177, 2967, 1014, 568, 513, 23013, 540, 24414, 609, 513, 4250, 540, 19283, 1218, 563, 28049, 568, 1018, 5949, 950, 7720, 832, 6836, 547, 1451, 5824, 543, 1767, 968, 338, 920, 342, 621, 3034, 23389, 568, 9247, 513, 1893, 2919, 676, 513, 1895, 540, 1855, 583, 976, 945, 10356, 538, 519, 4104, 835, 1554, 547, 2097, 909, 609, 513, 1893, 602, 741, 14763, 1131, 723, 1100, 4960, 540, 30230, 4771, 563, 306, 14954, 880, 568, 1018, 5949, 950, 513, 29735, 18702, 1004, 3893, 14220, 693, 782, 519, 824, 29735, 18702, 9082, 543, 4956, 547, 22393, 7369, 741, 1893, 547, 1118, 621, 1413, 811, 4436, 563, 1700, 30681, 24497, 333, 681, 817, 332, 1380, 523, 454, 13563, 2296, 568, 9247, 2296, 1310, 2348, 1044, 530, 21317, 1055, 609, 513, 18660, 26703, 563, 20124, 5491, 281, 674, 582, 16288, 12041, 593, 5616, 266, 0, 293, 1752, 4578, 22490, 585, 2422, 540, 519, 717, 15665, 16257, 454, 19013, 267, 519, 5763, 540, 1344, 4330, 1657, 1419, 1714, 26360, 519, 19995, 945, 1590, 1118, 513, 3375, 827, 519, 7293, 8699, 540, 513, 2679, 269, 898, 568, 519, 3804, 540, 713, 1788, 547, 1683, 519, 1797, 585, 606, 11653, 547, 946, 519, 1699, 21249, 3652, 547, 1118, 606, 5483, 3375, 827, 1450, 762, 1374, 2418, 585, 3574, 2818, 538, 8978, 5656, 269, 589, 2241, 13214, 2861, 3574, 21249, 6538, 267, 5219, 547, 607, 519, 3574, 21249, 1982, 267, 729, 2919, 538, 1931, 547, 1683, 8030, 609, 519, 2645, 2556, 547, 2932, 513, 2596, 3574, 21249, 4879, 585, 4626, 1499, 1369, 8978, 3889, 269, 1677, 14458, 519, 2361, 1239, 2838, 607, 3403, 585, 519, 1982, 267, 1152, 519, 3574, 2249, 267, 4759, 11098, 267, 543, 8700, 540, 519, 7293, 2609, 538, 2243, 991, 547, 581, 5462, 563, 298, 333, 1824, 543, 9386, 540, 10286, 616, 519, 1034, 1455, 543, 1034, 12145, 540, 29421, 12889, 630, 290, 571, 1067, 1696, 620, 1421, 476, 1960, 277, 1040, 4475, 267, 519, 21249, 1982, 3096, 1175, 891, 1079, 2188, 547, 3313, 3617, 3446, 25084, 585, 835, 540, 2947, 3574, 2249, 269, 13405, 547, 13345, 540, 519, 3574, 21249, 1982, 267, 4061, 267, 513, 2347, 3574, 2783, 4879, 1058, 581, 5342, 547, 3313, 519, 4527, 543, 5924, 4644, 540, 1022, 824, 3446, 29438, 1746, 12889, 563, 2414, 3313, 519, 3617, 2249, 267, 513, 3732, 540, 1142, 1826, 540, 7293, 4759, 896, 7156, 585, 519, 21249, 7014, 1590, 581, 6569, 543, 2366, 585, 2079, 269, 13575, 267, 519, 1482, 3574, 2249, 568, 1031, 585, 9838, 25194, 2818, 971, 607, 3675, 1235, 610, 986, 1123, 338, 267, 2705, 267, 2249, 949, 4268, 1063, 25194, 4759, 2516, 630, 324, 3052, 269, 519, 986, 1123, 338, 949, 581, 7013, 5835, 12566, 267, 855, 519, 3675, 1235, 949, 581, 9456, 3043, 12566, 1040, 27842, 666, 581, 2366, 547, 513, 1297, 540, 4357, 29801, 585, 513, 13927, 610, 547, 513, 1857, 610, 2229, 9872, 971, 607, 519, 772, 2529, 269, 11206, 15733, 12524, 4741, 585, 8381, 22845, 3194, 602, 666, 1683, 2249, 2079, 1863, 540, 5279, 563, 306, 3263, 1058, 581, 3144, 689, 3280, 3574, 543, 1058, 2268, 513, 5934, 540, 476, 26528, 20878, 2647, 1535, 476, 26528, 20878, 2620, 1535, 476, 16006, 20878, 1279, 269, 634, 3280, 1145, 540, 519, 3574, 3732, 666, 581, 5462, 676, 12902, 621, 1063, 519, 11263, 282, 952, 519, 3574, 9397, 6306, 267, 621, 1058, 711, 581, 11643, 543, 513, 1007, 3732, 786, 991, 547, 581, 3144, 269, 1677, 1349, 513, 3732, 267, 946, 513, 8325, 17180, 267, 4739, 4718, 16405, 267, 543, 5924, 513, 669, 529, 601, 547, 1118, 1079, 11912, 2066, 519, 10286, 540, 519, 3693, 269, 1452, 1079, 11912, 1058, 581, 513, 5934, 540, 476, 274, 270, 1626, 20878, 2620, 543, 476, 16006, 20878, 6306, 269, 589, 19494, 666, 581, 8237, 856, 676, 533, 11538, 909, 693, 835, 540, 519, 1651, 2213, 2798, 609, 513, 17180, 267, 610, 952, 513, 669, 529, 601, 568, 1031, 267, 519, 6316, 540, 519, 669, 529, 601, 666, 581, 5116, 538, 835, 540, 519, 11912, 543, 1287, 2587, 1194, 1524, 519, 10286, 2509, 519, 824, 2759, 269, 589, 8325, 7148, 609, 513, 1507, 17200, 1058, 1683, 2614, 3196, 547, 4894, 513, 1434, 19494, 689, 519, 3574, 4759, 269, 2353, 5439, 1058, 581, 3144, 689, 606, 14455, 30679, 6681, 5544, 593, 1142, 3574, 4759, 267, 543, 5116, 1369, 513, 13042, 9126, 585, 6111, 269, 898, 1058, 581, 7074, 602, 513, 3099, 540, 2249, 666, 581, 1031, 1369, 513, 2582, 2679, 267, 865, 693, 2547, 835, 3732, 1058, 581, 3144, 585, 1169, 7293, 4759, 1826, 630, 571, 1123, 338, 267, 3675, 1235, 267, 9587, 267, 3092, 4700, 896, 7156, 585, 3498, 540, 519, 3574, 21249, 7014, 563, 298, 333, 1824, 543, 4256, 20970, 454, 298, 333, 1824, 616, 3622, 2808, 519, 1034, 1713, 540, 519, 3875, 4222, 268, 12145, 12889, 9648, 538, 29421, 269, 8422, 2101, 4222, 3146, 706, 1424, 2360, 8451, 689, 519, 4527, 540, 513, 24516, 281, 851, 540, 519, 4604, 3444, 16687, 568, 4389, 607, 9875, 267, 16437, 518, 267, 855, 1785, 12147, 21260, 24516, 6229, 3217, 519, 1747, 540, 519, 2834, 3574, 11103, 282, 513, 2566, 5834, 543, 7766, 5786, 538, 4390, 568, 13251, 676, 519, 1570, 11375, 558, 23189, 540, 519, 24516, 11303, 676, 519, 1964, 540, 519, 4604, 267, 543, 2063, 569, 267, 519, 2208, 4806, 540, 519, 17657, 568, 22314, 676, 519, 7936, 4929, 519, 24516, 267, 799, 2164, 538, 9645, 23673, 540, 519, 10286, 5086, 1472, 519, 24516, 630, 290, 571, 1067, 1696, 620, 1421, 476, 1960, 277, 1040, 901, 10286, 5086, 23673, 666, 1450, 585, 519, 1646, 540, 28995, 17613, 13902, 547, 519, 10286, 543, 519, 5250, 540, 11974, 543, 29370, 847, 999, 607, 519, 3574, 1743, 625, 630, 290, 571, 1067, 1696, 620, 1421, 476, 1960, 277, 1916, 763, 4087, 540, 519, 24516, 814, 606, 1764, 593, 4759, 4222, 269, 4475, 267, 1369, 519, 21249, 1982, 616, 1614, 24516, 2450, 7687, 585, 25418, 1759, 593, 519, 4087, 540, 519, 24516, 269, 4741, 1467, 25418, 593, 519, 2647, 3068, 540, 606, 3693, 723, 519, 2547, 1764, 593, 3446, 543, 4061, 723, 519, 4102, 1450, 762, 24516, 2450, 269, 22750, 25418, 593, 519, 2647, 3068, 3622, 2333, 22297, 28995, 17613, 267, 543, 4061, 723, 4130, 24516, 2450, 7687, 269, 634, 1482, 6585, 3020, 585, 25418, 593, 519, 7522, 3068, 540, 606, 3693, 269, 1280, 930, 4130, 2609, 630, 273, 547, 476, 275, 6279, 538, 11098, 1070, 25418, 593, 519, 7522, 3068, 616, 2808, 547, 581, 9838, 547, 6316, 25418, 593, 519, 2647, 3068, 269, 2755, 519, 4087, 540, 513, 24516, 2059, 519, 3259, 540, 513, 19755, 4759, 630, 5976, 514, 519, 1647, 3791, 540, 519, 3259, 610, 538, 519, 9018, 1079, 22188, 264, 849, 5540, 519, 2773, 540, 513, 11237, 267, 713, 729, 711, 3144, 883, 2272, 547, 1683, 513, 1377, 540, 16134, 547, 519, 2361, 7403, 269, 901, 2164, 538, 513, 15061, 20159, 593, 24516, 2450, 585, 519, 9018, 3791, 540, 20832, 563, 763, 6482, 540, 25418, 9775, 4470, 2390, 519, 2249, 267, 2450, 543, 1599, 540, 519, 3693, 5627, 519, 24516, 269, 1280, 1383, 267, 24516, 6482, 593, 9587, 896, 30212, 13907, 568, 1114, 982, 24516, 6482, 593, 20832, 543, 3675, 1235, 538, 19755, 269, 634, 1739, 32461, 543, 5515, 1683, 513, 23988, 585, 519, 1114, 2409, 540, 24516, 6482, 563, 5804, 5375, 700, 3784, 717, 15665, 16390, 476, 4962, 630, 310, 3480, 28418, 8605, 5948, 267, 476, 1220, 276, 267, 1031, 21806, 540, 5375, 8381, 15733, 2667, 333, 269, 2187, 1103, 782, 13368, 532, 29421, 476, 275, 892, 543, 1447, 538, 11098, 267, 519, 2450, 540, 513, 24516, 593, 513, 2647, 3068, 568, 5462, 676, 922, 3328, 10155, 607, 538, 513, 1899, 2066, 519, 8700, 540, 519, 4062, 269, 634, 2450, 540, 25418, 593, 2647, 8188, 6148, 2799, 8167, 2299, 689, 519, 2450, 15868, 693, 519, 6316, 547, 519, 2450, 15868, 693, 519, 4099, 1467, 269, 12928, 1824, 17729, 593, 7522, 8188, 616, 3908, 547, 519, 1482, 12761, 607, 25418, 9138, 693, 8728, 540, 2647, 8188, 269, 12928, 1824, 538, 2142, 753, 543, 21642, 619, 543, 5403, 543, 7033, 1499, 616, 6027, 8335, 982, 25418, 538, 476, 275, 892, 543, 25182, 1570, 269, 6201, 540, 891, 6482, 2409, 616, 3254, 538, 590, 30708, 476, 18891, 269, 876, 543, 476, 22659, 269, 876, 454, 14106, 1043, 25418, 593, 29421, 610, 4626, 1499, 666, 581, 6027, 1210, 606, 21449, 622, 6656, 609, 513, 476, 16006, 20878, 7470, 547, 7520, 6482, 630, 8201, 476, 276, 1040, 1306, 3254, 538, 7612, 476, 273, 267, 585, 7293, 3675, 1235, 543, 1544, 802, 267, 519, 2450, 540, 513, 24516, 593, 519, 2647, 3068, 568, 5462, 676, 7893, 519, 24516, 2450, 593, 1312, 2647, 8188, 543, 12719, 519, 3328, 24516, 2450, 998, 519, 4062, 269, 12928, 1824, 593, 519, 7522, 3068, 616, 12290, 538, 513, 2147, 6752, 607, 6316, 25418, 593, 519, 2647, 3068, 543, 616, 6027, 609, 519, 21449, 622, 7470, 6252, 547, 519, 1279, 7852, 540, 519, 4062, 269, 12928, 1824, 593, 3677, 2818, 616, 6027, 8335, 267, 607, 3254, 538, 22955, 476, 274, 543, 476, 275, 563, 2690, 7293, 3675, 1235, 543, 1544, 802, 267, 543, 20832, 543, 5569, 619, 267, 519, 7470, 1058, 581, 5116, 6252, 547, 519, 6316, 540, 519, 16025, 543, 519, 24516, 10155, 6027, 6252, 547, 519, 1279, 7852, 540, 519, 16025, 269, 1280, 9708, 543, 4626, 1499, 267, 519, 7470, 1058, 581, 13988, 2066, 519, 7522, 652, 3068, 540, 519, 24516, 543, 1058, 581, 6027, 1063, 6252, 3515, 6316, 547, 6316, 267, 689, 519, 1034, 3982, 1448, 540, 10286, 11539, 269, 769, 824, 1913, 267, 519, 21449, 622, 7470, 949, 711, 581, 6252, 547, 519, 6316, 540, 9708, 543, 4626, 1499, 607, 621, 568, 585, 20832, 543, 5569, 619, 563, 30999, 31531, 267, 519, 24516, 267, 799, 568, 519, 20276, 656, 540, 513, 3529, 7936, 267, 814, 513, 1360, 3982, 10465, 267, 855, 713, 568, 3335, 711, 519, 2013, 267, 543, 519, 6482, 568, 16148, 269, 5221, 540, 519, 6109, 1145, 540, 25418, 630, 16746, 547, 16437, 518, 3574, 982, 602, 4478, 519, 24516, 1070, 11186, 15018, 540, 10053, 24516, 6229, 1419, 3123, 25418, 547, 1831, 6659, 689, 519, 3339, 2627, 540, 513, 16025, 282, 8754, 267, 25418, 593, 13556, 4626, 1499, 1419, 968, 974, 25393, 892, 998, 519, 13556, 7252, 543, 616, 7298, 585, 6482, 269, 4746, 267, 24293, 11974, 949, 581, 3730, 538, 10747, 519, 24516, 10465, 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 ]

[ 616, 11231, 1472, 20158, 1330, 1399, 1841, 282, 5493, 2167, 1246, 513, 4806, 540, 1970, 5656, 11231, 1472, 897, 636, 2740, 1273, 3930, 267, 2870, 513, 19618, 267, 20583, 1106, 282, 30060, 3889, 946, 519, 5657, 639, 7146, 2389, 629, 2401, 334, 9043, 543, 1804, 6366, 5867, 563, 763, 9998, 1974, 540, 4070, 729, 519, 1034, 28191, 699, 267, 609, 2370, 23732, 267, 855, 2663, 3889, 910, 689, 1472, 513, 269, 634, 11265, 3310, 540, 1855, 582, 8811, 340, 659, 534, 666, 581, 2938, 2429, 6239, 3013, 538, 519, 25839, 1974, 543, 2663, 269, 634, 2804, 2956, 540, 519, 2749, 729, 16079, 539, 538, 922, 2686, 543, 3909, 3310, 267, 2938, 538, 519, 2647, 23425, 540, 519, 3171, 9312, 5395, 25871, 267, 23608, 609, 1855, 582, 8811, 340, 659, 534, 781, 2372, 28856, 531, 1723, 520, 331, 267, 607, 513, 3090, 540, 3909, 543, 2797, 6392, 2429, 12379, 334, 15330, 3821, 563, 763, 2596, 1106, 540, 519, 1855, 582, 8811, 340, 659, 534, 17633, 267, 8796, 1496, 5649, 2859, 4940, 15339, 3427, 607, 513, 18734, 269, 898, 814, 1044, 835, 540, 519, 6574, 543, 1034, 7772, 748, 2591, 540, 1250, 1699, 11265, 4876, 269, 594, 723, 849, 5249, 5892, 538, 4070, 2359, 267, 1995, 602, 786, 957, 607, 606, 3606, 5351, 538, 12003, 609, 519, 4052, 7569, 540, 1250, 6074, 3924, 563, 19013, 267, 1250, 1153, 31286, 798, 711, 2992, 1250, 1377, 540, 7029, 547, 519, 2361, 540, 6189, 267, 5103, 519, 1249, 602, 594, 723, 1044, 2324, 693, 11265, 10909, 585, 811, 982, 4557, 1296, 563, 5475, 5181, 476, 1556, 628, 267, 594, 729, 1577, 979, 689, 1250, 2816, 1813, 547, 519, 2883, 12503, 5116, 2390, 519, 6109, 1141, 594, 729, 2324, 269, 594, 729, 7142, 547, 2165, 3729, 1250, 18375, 267, 1317, 540, 2883, 4128, 269, 4746, 267, 1250, 4651, 729, 12955, 540, 25524, 2860, 543, 1250, 1445, 729, 593, 1250, 1920, 267, 711, 593, 1250, 1378, 2115, 543, 3318, 17050, 267, 543, 1250, 9344, 616, 19890, 14436, 540, 713, 1249, 563, 3719, 1631, 267, 1715, 3840, 568, 4867, 1141, 1034, 540, 1250, 8796, 1496, 5649, 2859, 4940, 15339, 5398, 631, 13952, 519, 2290, 2679, 540, 1880, 1719, 568, 1010, 23171, 4741, 585, 3703, 8551, 269, 3371, 267, 519, 20425, 25047, 13486, 538, 519, 1330, 1399, 731, 540, 519, 4741, 12857, 606, 25412, 4063, 6276, 267, 533, 269, 769, 4334, 267, 543, 8197, 2687, 547, 16679, 781, 4998, 267, 519, 1795, 3547, 616, 896, 26061, 543, 11603, 269, 634, 6173, 725, 540, 519, 1330, 1399, 731, 543, 26847, 15666, 547, 519, 6240, 540, 1353, 267, 3246, 513, 9602, 2230, 585, 1053, 547, 1445, 741, 4555, 543, 741, 1016, 706, 539, 6643, 563, 2026, 971, 519, 1330, 1399, 731, 6212, 519, 3483, 540, 519, 1964, 540, 519, 2679, 269, 769, 519, 9703, 267, 21765, 568, 22012, 547, 513, 2571, 27280, 998, 1236, 2643, 2074, 267, 1141, 607, 519, 18073, 543, 5958, 8470, 539, 6821, 607, 1134, 607, 12068, 2575, 2417, 6212, 519, 5790, 27808, 267, 2509, 513, 14719, 894, 543, 12560, 1374, 269, 15339, 540, 19732, 1465, 4208, 8211, 1023, 269, 634, 2367, 1185, 8120, 689, 519, 2112, 267, 4892, 941, 9140, 5321, 543, 8380, 782, 741, 19367, 538, 547, 2679, 513, 9566, 585, 519, 1920, 4904, 609, 782, 12204, 540, 13442, 635, 325, 2176, 563, 763, 4775, 1106, 10630, 891, 635, 325, 2176, 281, 2201, 519, 824, 1688, 267, 519, 521, 543, 521, 1129, 4705, 519, 19856, 656, 12798, 540, 1689, 282, 1247, 930, 1004, 14487, 621, 5097, 547, 519, 26813, 540, 3828, 580, 4445, 267, 519, 2960, 5500, 2706, 16347, 540, 519, 5736, 824, 4128, 616, 4143, 547, 4983, 607, 1134, 281, 9861, 6094, 4847, 873, 547, 20354, 5957, 9660, 899, 519, 9910, 1606, 330, 7398, 267, 799, 6148, 693, 602, 942, 11542, 585, 930, 4990, 540, 5191, 543, 1582, 22325, 563, 18455, 6094, 543, 17766, 2597, 949, 723, 2016, 930, 2021, 519, 2702, 547, 1745, 1732, 827, 2933, 269, 15339, 540, 11785, 1772, 513, 269, 20767, 622, 621, 568, 9090, 711, 269, 4706, 8832, 7969, 20096, 2511, 8591, 16678, 2609, 547, 519, 8378, 781, 6607, 1467, 269, 27076, 5783, 3112, 581, 15763, 950, 6313, 519, 1686, 543, 6189, 540, 11785, 269, 27076, 5939, 568, 1713, 1317, 621, 834, 10517, 637, 757, 513, 22576, 540, 519, 11785, 781, 2247, 689, 922, 8830, 11939, 2250, 267, 543, 11944, 540, 1977, 5876, 607, 513, 3196, 538, 6189, 257, 16481, 10667, 563, 763, 13039, 540, 11785, 616, 711, 2027, 547, 11785, 2103, 269, 634, 13039, 540, 8796, 1496, 5649, 2859, 4940, 634, 2278, 540, 713, 1957, 6799, 513, 2489, 7650, 540, 519, 1433, 543, 1287, 562, 541, 4900, 519, 1957, 781, 1445, 547, 1331, 721, 7219, 781, 3409, 602, 1863, 1004, 666, 1152, 1711, 1434, 6189, 269, 1284, 616, 7683, 9687, 538, 938, 6848, 6788, 543, 10343, 540, 2621, 563, 6624, 2053, 267, 649, 8275, 1310, 519, 1249, 602, 1945, 649, 1705, 610, 7873, 19861, 1185, 513, 2531, 3626, 1198, 593, 519, 1158, 269, 6270, 729, 519, 2013, 540, 6189, 267, 2687, 547, 2278, 3627, 721, 7219, 269, 769, 1010, 1433, 634, 18599, 700, 10102, 540, 15339, 721, 7219, 1163, 2432, 593, 1010, 3661, 602, 519, 1152, 5963, 1434, 6189, 568, 1500, 676, 1004, 945, 616, 1863, 721, 7219, 267, 901, 568, 513, 3020, 3948, 952, 621, 568, 3144, 538, 519, 2796, 540, 1374, 543, 711, 4890, 6388, 540, 602, 1374, 563, 6524, 649, 666, 8796, 1496, 5649, 2859, 4940, 9335, 538, 19090, 267, 11882, 267, 519, 1208, 29087, 3957, 16340, 9335, 3465, 2421, 614, 1014, 5783, 729, 3710, 538, 2073, 855, 814, 1185, 1896, 3606, 11265, 2609, 3773, 2094, 1287, 267, 1519, 7293, 543, 6198, 5624, 3564, 519, 1292, 3284, 572, 543, 562, 1511, 267, 8151, 689, 513, 1804, 5087, 2427, 18736, 1858, 547, 519, 2789, 24509, 525, 543, 7127, 1811, 563, 763, 16340, 9335, 3465, 2421, 614, 1014, 5783, 26328, 513, 5266, 1804, 11640, 267, 17364, 827, 2185, 14143, 540, 4683, 2244, 269, 2201, 519, 5045, 2427, 540, 519, 8265, 267, 519, 16340, 9335, 3465, 2421, 614, 1014, 5783, 11392, 606, 15792, 2179, 540, 7943, 2429, 519, 1554, 267, 799, 575, 548, 4461, 543, 16657, 338, 607, 621, 9356, 593, 922, 9206, 7723, 9096, 563, 4002, 922, 1298, 27812, 538, 2073, 519, 5939, 729, 18005, 3773, 547, 519, 2817, 19193, 540, 19866, 23089, 538, 19220, 540, 922, 3875, 2413, 23937, 267, 4396, 4328, 519, 5939, 538, 19090, 781, 4683, 5251, 563, 1103, 1249, 267, 519, 16340, 9335, 3465, 2421, 614, 1014, 5783, 8843, 519, 8265, 609, 2185, 824, 19506, 13039, 538, 19090, 267, 782, 3710, 1369, 8796, 1496, 5649, 2859, 4940, 15339, 540, 519, 1325, 30790, 538, 269, 2368, 723, 4330, 713, 1795, 1228, 607, 834, 320, 1397, 344, 543, 11141, 4062, 540, 570, 639, 4754, 6189, 10086, 609, 818, 3481, 9885, 11303, 676, 14969, 27536, 1286, 19133, 267, 6335, 532, 9587, 267, 543, 7387, 31795, 6244, 12137, 1127, 585, 2493, 4231, 257, 570, 18288, 269, 1717, 267, 594, 1265, 519, 1795, 1228, 3833, 1455, 543, 796, 15517, 532, 563, 290, 4040, 5455, 2060, 21624, 4828, 11762, 1280, 15339, 4841, 269, 15339, 568, 1419, 3989, 607, 1312, 519, 1184, 543, 519, 1587, 540, 10703, 1516, 513, 1544, 267, 4586, 24246, 2688, 15339, 1557, 5153, 8386, 28157, 19019, 593, 1215, 547, 3503, 606, 4828, 827, 15339, 769, 513, 3376, 2631, 267, 519, 2165, 968, 19425, 3538, 675, 892, 568, 4857, 607, 513, 4586, 291, 520, 15390, 540, 17676, 6189, 3594, 910, 1284, 723, 5215, 540, 1863, 3594, 2066, 513, 2647, 2039, 540, 1641, 2127, 269, 12726, 6189, 3594, 256, 4119, 476, 2767, 267, 5788, 15339, 19837, 10488, 11762, 269, 589, 1390, 5542, 540, 1863, 6189, 12031, 3584, 543, 2093, 547, 948, 596, 2328, 519, 3501, 12031, 563, 305, 25497, 334, 15339, 10749, 269, 634, 3943, 887, 322, 27494, 2511, 568, 835, 540, 519, 13074, 12081, 532, 11647, 543, 16560, 6575, 6272, 269, 4634, 1498, 621, 729, 2442, 538, 824, 2477, 267, 971, 607, 7977, 267, 5125, 543, 22778, 807, 267, 1142, 3773, 741, 1378, 18953, 269, 20096, 6189, 543, 6535, 6951, 4302, 6189, 20096, 13910, 568, 519, 1034, 4241, 543, 12357, 11265, 5736, 519, 1158, 814, 2938, 269, 1452, 1804, 3889, 540, 519, 476, 1556, 628, 998, 519, 476, 1626, 628, 5553, 267, 602, 616, 2808, 547, 581, 540, 20096, 13910, 267, 616, 3274, 32219, 269, 0, 274, 281, 4119, 7757, 18712, 281, 31514, 634, 2622, 15907, 2974, 454, 4407, 4641, 568, 2484, 21950, 982, 519, 3059, 1995, 267, 621, 814, 1713, 7687, 267, 607, 519, 4031, 540, 519, 2168, 1158, 616, 1476, 1456, 543, 796, 344, 1752, 532, 269, 634, 2278, 6257, 519, 1483, 8996, 1995, 540, 8384, 513, 17075, 29658, 538, 1268, 912, 3528, 13766, 519, 21951, 666, 1152, 581, 538, 835, 1747, 693, 513, 942, 267, 799, 2306, 1864, 8572, 547, 7747, 3388, 602, 568, 2469, 593, 269, 1261, 666, 3442, 547, 3251, 693, 835, 8559, 543, 4585, 1142, 540, 519, 5716, 693, 602, 4087, 267, 610, 3442, 547, 1246, 513, 6345, 689, 1747, 547, 1747, 269, 769, 2901, 2013, 267, 646, 1590, 2611, 3297, 519, 3046, 878, 3547, 267, 2484, 2476, 689, 519, 2962, 267, 543, 3343, 513, 2990, 1369, 519, 555, 3994, 338, 540, 824, 24319, 689, 799, 646, 666, 1294, 519, 2962, 269, 634, 2661, 20626, 4413, 525, 513, 2603, 281, 519, 4031, 540, 2168, 4641, 1118, 621, 7543, 547, 4585, 606, 3003, 17075, 29658, 267, 1169, 8929, 676, 1169, 6345, 563, 263, 2894, 281, 634, 2278, 1236, 2354, 936, 513, 1647, 1900, 594, 1589, 568, 4502, 6236, 281, 8613, 13739, 269, 634, 8254, 3294, 3091, 519, 21951, 513, 1732, 2070, 540, 519, 2962, 676, 621, 2702, 547, 24680, 538, 547, 1205, 513, 6251, 5133, 269, 16340, 322, 7539, 946, 3875, 12514, 267, 3533, 15175, 547, 8726, 4087, 3091, 519, 1034, 2962, 269, 19410, 2209, 666, 2709, 3606, 1344, 602, 3986, 519, 7071, 610, 1620, 540, 519, 21951, 269, 16680, 519, 13739, 593, 667, 23623, 543, 519, 21951, 666, 18178, 827, 538, 942, 269, 1809, 621, 568, 1869, 3908, 547, 519, 11049, 5079, 540, 519, 3376, 322, 2120, 267, 945, 16976, 1018, 1344, 519, 21951, 786, 1294, 543, 3091, 1152, 513, 9864, 1995, 269, 898, 781, 1732, 267, 855, 1869, 711, 607, 1434, 607, 1018, 519, 2278, 1985, 6257, 8094, 763, 2278, 6257, 513, 2029, 1572, 834, 293, 534, 309, 1707, 257, 602, 8424, 513, 1507, 13156, 5496, 609, 606, 1274, 12328, 267, 799, 13462, 547, 513, 1062, 602, 2285, 519, 3593, 519, 2702, 547, 2070, 689, 1022, 540, 513, 1297, 540, 12514, 602, 616, 5116, 782, 936, 519, 1576, 267, 2059, 609, 519, 6205, 4580, 543, 6345, 8464, 269, 3571, 6609, 540, 519, 1995, 568, 1210, 519, 3926, 1247, 11504, 519, 2680, 547, 581, 2111, 547, 1832, 909, 609, 1018, 568, 8345, 538, 824, 4025, 646, 3112, 581, 267, 610, 689, 7285, 646, 3112, 7747, 269, 834, 2690, 519, 1101, 942, 693, 1022, 29658, 267, 594, 1705, 711, 1745, 899, 594, 729, 7508, 856, 11992, 593, 519, 1576, 4799, 263, 2894, 281, 634, 2278, 6257, 1210, 519, 3926, 1247, 11504, 267, 2864, 982, 3079, 540, 11504, 267, 519, 2661, 2680, 269, 1809, 621, 1223, 581, 1031, 676, 513, 1268, 538, 1776, 4087, 269, 769, 519, 8545, 3236, 267, 621, 1131, 5693, 581, 513, 12990, 585, 4641, 2864, 982, 606, 11160, 7695, 547, 621, 269, 4634, 538, 519, 2278, 781, 1383, 267, 621, 4667, 519, 3593, 1131, 581, 15175, 1063, 519, 3926, 543, 1010, 10450, 267, 711, 2731, 11160, 13586, 1010, 1995, 607, 2655, 23082, 585, 621, 267, 607, 646, 3124, 919, 3007, 1063, 519, 3059, 543, 519, 1483, 269, 2755, 646, 29167, 519, 3014, 267, 646, 568, 2348, 513, 1483, 1995, 267, 1287, 646, 17176, 3007, 547, 519, 3926, 543, 814, 513, 3059, 1995, 269, 1358, 616, 1869, 3982, 2833, 267, 865, 594, 6415, 711, 2386, 952, 713, 568, 513, 1434, 1383, 540, 21284, 4641, 8094, 26670, 3496, 519, 2622, 1472, 2974, 454, 763, 2278, 5267, 602, 834, 13774, 7757, 4641, 257, 21018, 835, 540, 519, 7516, 540, 2230, 267, 942, 267, 543, 2339, 269, 1280, 519, 27684, 309, 1707, 3926, 267, 646, 5267, 602, 621, 2636, 519, 1268, 547, 8831, 883, 1100, 2173, 2660, 267, 29400, 519, 7687, 540, 1010, 1480, 1560, 547, 7747, 519, 3014, 607, 606, 9631, 23036, 2615, 269, 630, 2894, 281, 855, 621, 849, 2636, 1864, 547, 7753, 519, 32604, 540, 513, 2168, 2230, 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 ]

[ 5907, 12043, 267, 585, 3140, 1382, 540, 7005, 1876, 563, 1103, 7005, 3656, 1686, 267, 519, 10470, 540, 1876, 1223, 1931, 519, 8569, 540, 14796, 543, 4259, 8521, 2596, 1344, 29395, 540, 3656, 2474, 5665, 563, 5825, 1686, 543, 3140, 6054, 519, 1686, 540, 519, 8087, 2829, 568, 5318, 543, 1950, 17535, 1876, 11268, 267, 7286, 2825, 4027, 269, 5871, 1876, 267, 1455, 1876, 2924, 267, 3959, 267, 9562, 267, 1514, 4656, 267, 2229, 267, 2924, 269, 4521, 11268, 5013, 1271, 7389, 538, 1876, 11268, 1686, 19325, 538, 519, 1686, 540, 519, 3924, 476, 8182, 271, 338, 32414, 476, 14321, 276, 519, 2749, 540, 536, 10667, 20964, 513, 3781, 4585, 267, 538, 799, 10492, 6039, 851, 6066, 267, 1510, 2628, 563, 288, 5618, 1686, 540, 476, 790, 1633, 2671, 1923, 513, 5618, 1686, 540, 476, 790, 1633, 281, 513, 1753, 4341, 3915, 729, 5293, 538, 476, 4489, 273, 855, 2629, 569, 621, 729, 711, 4547, 883, 1876, 269, 901, 1382, 3391, 568, 606, 4367, 547, 519, 2596, 3656, 2326, 540, 2413, 7005, 1876, 585, 519, 1686, 543, 2126, 540, 2665, 1991, 547, 476, 3707, 278, 269, 901, 2985, 2488, 1344, 593, 519, 1686, 540, 519, 24067, 9769, 2596, 1344, 9086, 543, 2013, 25237, 1265, 269, 476, 1001, 277, 14469, 2489, 8480, 9706, 32123, 543, 4058, 5234, 3084, 21517, 543, 5638, 7245, 2596, 4031, 543, 8128, 540, 1876, 476, 13647, 268, 6942, 267, 519, 1686, 540, 269, 7476, 3758, 0, 295, 528, 714, 7267, 6713, 10724, 21222, 7267, 7557, 1456, 267, 849, 1634, 607, 17819, 267, 12346, 593, 27414, 2759, 1562, 547, 4894, 4496, 689, 513, 32179, 563, 23966, 476, 29876, 10049, 543, 19007, 22948, 6997, 1948, 476, 275, 476, 272, 5130, 476, 1556, 267, 476, 1001, 271, 631, 3739, 6713, 21007, 575, 13979, 3845, 454, 290, 10998, 17819, 6191, 616, 3684, 2645, 799, 616, 1031, 585, 519, 5935, 540, 4496, 543, 824, 4396, 2326, 269, 519, 5969, 1184, 666, 581, 3323, 689, 513, 4396, 3625, 2676, 6872, 275, 8287, 4773, 540, 1031, 4496, 11529, 12227, 17656, 1299, 631, 3739, 6191, 267, 4496, 11529, 6191, 2139, 585, 1312, 3157, 607, 1134, 607, 1031, 4496, 454, 290, 10998, 631, 3739, 568, 513, 2357, 770, 850, 1184, 602, 666, 1118, 1950, 2694, 269, 18981, 14200, 616, 2139, 607, 476, 273, 267, 274, 267, 275, 267, 276, 7852, 6191, 563, 300, 3739, 4985, 631, 3739, 568, 607, 4909, 607, 17656, 1851, 13324, 4496, 5969, 3157, 269, 631, 3739, 568, 11684, 585, 513, 2596, 20619, 1184, 267, 855, 1317, 454, 763, 5295, 540, 513, 631, 3739, 10724, 269, 547, 5458, 4853, 6191, 602, 1489, 1804, 12051, 3157, 269, 631, 3739, 6191, 849, 1491, 5413, 540, 2780, 1242, 1852, 585, 454, 7628, 18981, 17819, 519, 2780, 18922, 519, 1374, 883, 5528, 593, 875, 519, 16590, 2115, 547, 1847, 547, 1711, 519, 3337, 269, 15380, 267, 519, 16590, 666, 1847, 909, 1524, 267, 610, 454, 300, 3739, 10724, 6713, 267, 1733, 3421, 1446, 15316, 4400, 10866, 631, 3739, 10724, 6713, 15733, 689, 6820, 631, 3739, 10724, 6713, 4675, 11502, 543, 631, 3739, 10724, 6713, 454, 1432, 568, 513, 631, 3739, 10724, 269, 21222, 7267, 631, 3739, 10724, 609, 4518, 538, 6713, 3938, 17940, 540, 595, 32385, 10620, 631, 3739, 10724, 7577, 267, 595, 32385, 10620, 267, 11882, 269, 13472, 476, 275, 540, 476, 278, 563, 763, 1101, 17819, 6191, 941, 1759, 593, 519, 2259, 540, 27414, 25937, 269, 589, 1184, 799, 7960, 538, 9118, 3684, 15945, 1472, 519, 1158, 267, 27414, 25937, 4389, 519, 454, 310, 564, 17819, 296, 25605, 6713, 269, 22911, 17819, 22911, 17819, 609, 594, 25605, 781, 538, 1467, 6191, 568, 513, 2922, 543, 3608, 4244, 547, 3819, 8860, 269, 16959, 8860, 5932, 513, 2603, 540, 7452, 454, 300, 21135, 5058, 631, 21815, 12114, 20525, 2207, 25972, 7495, 13932, 275, 299, 8577, 2177, 476, 272, 20081, 3008, 298, 476, 272, 476, 273, 269, 631, 3739, 26682, 513, 269, 4937, 269, 634, 17819, 3684, 18788, 4496, 609, 513, 2847, 6295, 5969, 454, 300, 21135, 5058, 631, 21815, 2562, 4932, 2969, 2207, 24361, 306, 31087, 10976, 3201, 11550, 290, 8577, 2464, 26386, 540, 932, 760, 6874, 4286, 7557, 1456, 6713, 4513, 3040, 631, 3739, 568, 519, 1034, 1455, 1106, 454, 300, 778, 1456, 568, 1022, 540, 1585, 3157, 538, 799, 513, 4062, 540, 6151, 1570, 568, 2759, 883, 513, 5551, 3803, 3337, 543, 2450, 631, 3739, 6191, 616, 519, 9030, 3684, 1907, 454, 10303, 596, 666, 979, 689, 17819, 547, 8860, 538, 835, 3684, 267, 596, 2811, 711, 1152, 9494, 593, 3854, 3937, 267, 7464, 5384, 10724, 267, 6713, 6513, 543, 4578, 5004, 563, 21581, 11251, 5788, 476, 26116, 276, 1031, 17819, 6191, 585, 9042, 269, 4279, 5542, 540, 2034, 11804, 17819, 6191, 689, 23965, 1299, 998, 14193, 2388, 269, 16179, 17819, 6191, 454, 305, 565, 1782, 631, 3739, 10724, 6713, 269, 17029, 1782, 7085, 7557, 10320, 543, 16811, 2344, 1867, 4400, 6826, 600, 1547, 901, 7121, 6227, 24284, 5097, 7722, 538, 454, 300, 3739, 568, 513, 5969, 1184, 602, 3096, 513, 17819, 2759, 614, 547, 4894, 1570, 689, 519, 2627, 540, 513, 32179, 269, 634, 17819, 2759, 614, 568, 513, 27414, 5969, 1907, 267, 1419, 609, 454, 560, 2774, 10198, 1184, 543, 1374, 269, 634, 13138, 17819, 4099, 568, 513, 3810, 6422, 3684, 267, 18981, 17819, 6191, 631, 4488, 3198, 9331, 2207, 2975, 18981, 17819, 6191, 0, 19365, 1913, 10290, 267, 606, 7005, 11509, 10564, 267, 849, 8100, 546, 3530, 617, 2812, 538, 1010, 6648, 968, 328, 18389, 1229, 24949, 607, 513, 6531, 5608, 7206, 513, 4605, 540, 513, 14629, 269, 634, 2470, 10564, 281, 13275, 1913, 10290, 1913, 19431, 781, 946, 540, 519, 2262, 2470, 1913, 19431, 1031, 519, 2262, 2470, 547, 540, 812, 267, 855, 267, 1100, 8969, 267, 713, 568, 513, 8768, 540, 13513, 543, 10564, 673, 4082, 1224, 281, 6965, 1557, 3732, 269, 968, 339, 514, 1181, 705, 21161, 2223, 676, 13275, 1913, 10290, 267, 568, 513, 6648, 602, 30211, 593, 513, 519, 946, 540, 2143, 11052, 1369, 968, 339, 514, 1181, 705, 21161, 892, 2488, 513, 19756, 2666, 585, 269, 14117, 546, 3530, 617, 2812, 616, 1419, 1031, 676, 2860, 7239, 607, 513, 3090, 540, 4126, 519, 3552, 546, 3530, 617, 559, 568, 519, 835, 602, 6273, 13275, 1913, 10290, 781, 4583, 6648, 519, 1650, 1281, 1397, 519, 2956, 540, 5329, 546, 3530, 617, 559, 15620, 538, 513, 2922, 563, 9349, 642, 540, 13275, 1913, 10290, 781, 519, 840, 331, 8775, 10741, 609, 513, 561, 3512, 936, 519, 519, 946, 540, 519, 6149, 543, 519, 7387, 607, 6698, 540, 1346, 5207, 540, 269, 5261, 1025, 820, 3096, 13513, 267, 782, 4288, 267, 543, 11052, 547, 5862, 513, 12667, 4605, 540, 519, 6476, 540, 13275, 1025, 820, 781, 561, 5064, 543, 1913, 10290, 781, 7768, 2390, 4586, 20373, 543, 7778, 540, 519, 2101, 4798, 540, 1913, 10290, 781, 6965, 713, 3015, 5339, 9880, 568, 3501, 585, 4896, 5185, 609, 1913, 10290, 781, 6965, 3594, 267, 4574, 267, 676, 281, 13275, 1913, 10290, 1913, 10290, 14578, 11363, 519, 2956, 540, 2470, 547, 606, 1367, 781, 7214, 543, 5289, 1646, 269, 1323, 7005, 3332, 1557, 21287, 267, 2854, 676, 938, 1053, 267, 609, 5396, 519, 946, 540, 13513, 538, 519, 6881, 540, 3197, 543, 13602, 538, 795, 2033, 2363, 516, 543, 959, 643, 1731, 18769, 737, 636, 926, 25888, 19789, 2090, 519, 1412, 331, 1075, 344, 262, 9954, 676, 13275, 1913, 10290, 543, 269, 2201, 519, 2627, 267, 1913, 10290, 781, 6648, 267, 1250, 2295, 682, 2355, 909, 267, 568, 827, 519, 2241, 855, 1775, 1131, 8044, 602, 519, 22774, 538, 713, 6648, 568, 513, 3090, 585, 2470, 607, 513, 2898, 1913, 10290, 23647, 585, 15023, 547, 1847, 2476, 689, 519, 946, 540, 10053, 543, 563, 17504, 29536, 3096, 13513, 998, 6249, 781, 547, 6655, 1010, 5784, 1913, 10290, 14753, 827, 1557, 593, 13275, 1913, 10290, 543, 2470, 476, 3445, 275, 1913, 1923, 476, 275, 3817, 269, 5131, 1557, 281, 519, 2067, 1158, 568, 835, 602, 6818, 3544, 540, 782, 1480, 13275, 1913, 10290, 781, 946, 540, 2470, 1557, 1893, 568, 513, 4015, 540, 6698, 18170, 676, 3652, 543, 1031, 547, 6655, 6835, 1063, 2043, 269, 10801, 713, 1557, 568, 2963, 6029, 1175, 875, 646, 12913, 713, 267, 609, 2407, 2463, 4724, 519, 1455, 812, 267, 1210, 1893, 543, 11052, 602, 729, 711, 269, 7102, 4081, 1557, 1590, 723, 513, 5098, 3948, 543, 513, 6965, 1557, 568, 1100, 9868, 519, 2034, 851, 540, 713, 2243, 12134, 1946, 1705, 519, 5856, 3442, 547, 946, 519, 585, 1383, 267, 596, 1522, 6430, 602, 13275, 1913, 10290, 781, 6648, 968, 546, 3530, 617, 2812, 892, 568, 585, 1383, 267, 835, 5037, 1522, 1865, 875, 546, 3530, 617, 2812, 616, 513, 3090, 540, 519, 563, 763, 11509, 13513, 538, 519, 22072, 556, 1653, 6648, 13275, 1913, 10290, 3096, 538, 1010, 6648, 2185, 588, 11961, 553, 609, 5216, 3515, 609, 513, 8037, 269, 634, 23058, 344, 9954, 616, 513, 3126, 540, 2947, 9954, 7768, 676, 519, 7005, 11509, 10564, 13275, 1913, 10290, 630, 10082, 271, 1700, 6977, 271, 264, 1063, 476, 9692, 279, 543, 476, 5197, 272, 519, 7599, 267, 513, 3090, 540, 519, 11537, 267, 29826, 20406, 607, 519, 6648, 22264, 267, 2394, 922, 23589, 6749, 538, 519, 855, 2401, 5156, 1913, 10290, 781, 946, 540, 519, 8360, 519, 3017, 547, 803, 563, 12024, 606, 1557, 593, 13275, 1913, 10290, 781, 968, 328, 18389, 1229, 24949, 607, 513, 6531, 2223, 799, 568, 1631, 2161, 267, 596, 616, 1603, 827, 519, 6698, 602, 3514, 345, 23878, 3096, 538, 519, 3209, 269, 2422, 891, 1806, 540, 11052, 538, 6965, 609, 2079, 547, 948, 596, 2328, 1806, 1331, 13275, 1913, 10290, 781, 1775, 18389, 1229, 24949, 607, 513, 563, 2304, 1383, 7664, 540, 519, 1101, 588, 24521, 689, 13275, 1913, 10290, 781, 6648, 267, 968, 328, 13217, 519, 5098, 865, 602, 596, 666, 946, 519, 2963, 547, 1489, 707, 2079, 13513, 267, 855, 707, 5098, 3948, 3085, 1405, 2446, 13513, 607, 1489, 585, 269, 5261, 1913, 10290, 267, 2523, 267, 538, 1010, 6965, 267, 3096, 11673, 540, 519, 13513, 540, 519, 3618, 1373, 23699, 24271, 559, 612, 569, 543, 3423, 1836, 676, 269, 0, 26705, 540, 606, 7291, 454, 11073, 1467, 4967, 2278, 281, 795, 574, 3276, 651, 2813, 4266, 281, 476, 280, 270, 1626, 270, 1220, 272, 476, 276, 281, 6021, 281, 5400, 10681, 269, 1215, 547, 2328, 606, 7291, 606, 7291, 568, 513, 1390, 1259, 547, 10891, 707, 4555, 543, 1382, 952, 596, 2811, 8600, 513, 4633, 267, 606, 1557, 267, 513, 3209, 267, 610, 1256, 513, 1353, 269, 1403, 596, 798, 1100, 917, 875, 547, 2328, 606, 7291, 538, 16643, 3898, 2638, 856, 930, 2596, 7355, 1931, 1603, 606, 7291, 538, 16643, 3898, 693, 4396, 22967, 1260, 269, 9208, 11556, 7291, 630, 5228, 519, 5748, 4099, 264, 10324, 5758, 1107, 2185, 547, 3670, 9433, 267, 3335, 2854, 693, 519, 1439, 540, 519, 1184, 267, 602, 5713, 513, 563, 1692, 547, 2328, 606, 7291, 519, 2596, 3898, 585, 606, 7291, 3096, 606, 20367, 3126, 540, 2338, 543, 5022, 267, 967, 5034, 9935, 267, 547, 5815, 269, 22478, 2376, 530, 5942, 875, 547, 2328, 606, 7291, 585, 513, 1382, 1957, 2947, 2694, 281, 3732, 14592, 7291, 1826, 543, 2497, 7291, 2157, 3334, 540, 2500, 14592, 269, 634, 3732, 7291, 602, 5205, 2501, 689, 519, 2361, 540, 20569, 267, 543, 922, 1101, 7400, 26333, 2992, 513, 1455, 1935, 5830, 1491, 950, 12180, 741, 3312, 269, 1323, 16643, 7291, 10959, 568, 513, 3561, 602, 3877, 1382, 6192, 676, 621, 779, 2278, 538, 513, 3898, 602, 3096, 19005, 27766, 4553, 676, 5022, 543, 1287, 2338, 950, 563, 11073, 1467, 3898, 543, 922, 30834, 2888, 5098, 281, 519, 5098, 5526, 1354, 519, 7291, 4010, 607, 621, 5526, 538, 519, 1957, 3294, 26270, 764, 1565, 2978, 6101, 7291, 30453, 269, 1323, 7291, 568, 513, 968, 321, 1663, 788, 11781, 892, 610, 968, 17839, 892, 585, 707, 1957, 621, 2337, 596, 547, 10891, 707, 4555, 543, 7440, 513, 1434, 7291, 666, 1118, 10647, 1382, 543, 269, 20895, 1018, 568, 606, 7291, 606, 7291, 568, 5921, 547, 948, 596, 3715, 513, 2497, 585, 513, 1957, 596, 616, 2469, 547, 2328, 621, 568, 513, 1259, 585, 596, 547, 6542, 519, 1292, 269, 901, 4199, 6257, 1946, 14592, 616, 3730, 267, 1018, 2010, 540, 14592, 2291, 267, 10372, 585, 3384, 2500, 14592, 267, 543, 875, 14592, 666, 581, 1031, 607, 606, 563, 8196, 606, 7291, 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 ]

[ 25427, 269, 898, 568, 1031, 547, 7520, 7067, 540, 13676, 12048, 10549, 610, 540, 5762, 3293, 3185, 2720, 14371, 1484, 16359, 9577, 19032, 3590, 281, 634, 24162, 16359, 9577, 19032, 3590, 610, 10648, 293, 5425, 568, 513, 476, 276, 1377, 4791, 8760, 1062, 602, 6257, 519, 14407, 5179, 1599, 540, 1004, 609, 19548, 25097, 344, 593, 519, 4493, 540, 1582, 2987, 527, 7007, 3350, 5759, 269, 3487, 7781, 8561, 538, 2870, 543, 4509, 519, 10648, 293, 5425, 4336, 26520, 593, 10442, 9361, 267, 6972, 267, 543, 8868, 539, 10688, 9950, 335, 4618, 628, 545, 16784, 281, 9210, 4618, 628, 545, 16784, 630, 1070, 3134, 4618, 11209, 16784, 267, 3134, 4618, 28387, 267, 610, 3274, 3750, 16784, 616, 4408, 585, 513, 2960, 16784, 540, 519, 5580, 22442, 573, 267, 8720, 519, 6418, 7944, 630, 4364, 658, 666, 28387, 264, 540, 519, 3750, 269, 4033, 4408, 585, 713, 16023, 1331, 726, 3821, 5493, 701, 321, 1258, 553, 23653, 543, 5493, 701, 321, 1258, 29569, 16784, 907, 13640, 553, 12792, 18618, 281, 589, 26220, 18618, 630, 10193, 1634, 607, 606, 12623, 20470, 610, 21376, 8580, 334, 1441, 18618, 264, 568, 519, 1267, 540, 519, 3157, 602, 849, 3132, 642, 4314, 532, 21054, 543, 8580, 334, 1441, 21054, 267, 543, 949, 2099, 513, 27795, 1063, 519, 1079, 269, 31226, 12792, 21054, 2049, 950, 513, 18618, 21872, 5956, 3384, 538, 14685, 334, 267, 855, 519, 6292, 1281, 711, 4628, 5094, 267, 543, 835, 21872, 15387, 8789, 1646, 693, 519, 13258, 540, 519, 824, 12171, 756, 9317, 7988, 25936, 540, 5642, 307, 32214, 11144, 281, 570, 32214, 11144, 568, 519, 3791, 543, 2063, 5123, 538, 10510, 1646, 269, 901, 5123, 568, 27537, 676, 2799, 2208, 3432, 543, 1045, 553, 4369, 540, 519, 10510, 2281, 13034, 344, 704, 842, 3748, 302, 341, 4115, 512, 832, 542, 17812, 523, 1388, 4579, 1116, 27442, 1013, 617, 716, 344, 569, 281, 2142, 1023, 6794, 630, 322, 784, 523, 1388, 4579, 1116, 27442, 1013, 617, 716, 344, 569, 267, 2142, 1023, 6953, 3663, 339, 6794, 264, 568, 513, 4686, 22787, 24561, 5160, 4524, 269, 2142, 1023, 6794, 814, 1152, 5063, 1044, 4330, 607, 513, 6794, 3982, 689, 3057, 325, 534, 781, 6794, 6185, 1619, 16050, 1129, 281, 769, 4915, 267, 519, 10053, 16050, 1129, 610, 5409, 323, 1619, 16050, 1129, 568, 513, 10237, 11043, 1129, 2938, 593, 2780, 29821, 630, 6311, 264, 18767, 2303, 633, 540, 2038, 29769, 545, 8482, 269, 769, 4505, 2090, 540, 2564, 9196, 538, 2550, 609, 18116, 267, 621, 729, 519, 9998, 1129, 540, 29769, 545, 8482, 538, 513, 1713, 12102, 540, 2665, 12171, 268, 1428, 267, 276, 4200, 303, 710, 531, 22889, 288, 545, 31651, 1700, 294, 719, 328, 11726, 637, 6794, 18893, 29741, 3055, 5418, 628, 903, 332, 2762, 281, 8838, 29741, 3055, 5418, 628, 903, 332, 2762, 630, 302, 7968, 264, 568, 513, 1505, 547, 6218, 14910, 998, 606, 5007, 6482, 540, 519, 9221, 3774, 2627, 5163, 11065, 1120, 18696, 17361, 281, 634, 19161, 18696, 17361, 630, 528, 645, 7034, 264, 568, 513, 4922, 1031, 4791, 1449, 540, 513, 1268, 781, 11979, 543, 6422, 3666, 5759, 267, 3957, 1310, 918, 15811, 19161, 267, 835, 540, 519, 9367, 269, 1280, 6198, 3666, 4255, 267, 519, 645, 7034, 568, 3622, 2808, 547, 581, 519, 4154, 3044, 269, 1805, 269, 6307, 781, 13106, 30249, 14037, 11233, 281, 853, 269, 6307, 781, 13106, 30249, 14037, 11233, 568, 513, 1435, 28727, 1777, 335, 2517, 4178, 269, 7049, 340, 15254, 636, 281, 910, 267, 1923, 21581, 29374, 5247, 659, 25646, 6391, 281, 11473, 29374, 5247, 659, 25646, 6391, 630, 309, 2969, 306, 264, 568, 513, 1826, 540, 5247, 25714, 6391, 5340, 1210, 513, 1507, 3381, 8254, 602, 568, 5189, 883, 519, 3461, 781, 9221, 3842, 513, 9165, 269, 634, 18874, 568, 2111, 547, 2070, 519, 7405, 602, 616, 1373, 1031, 2059, 609, 519, 14169, 593, 799, 519, 18874, 568, 5665, 6185, 529, 576, 551, 3912, 10468, 584, 517, 3572, 566, 281, 3026, 584, 517, 3572, 566, 568, 519, 1305, 540, 2780, 29374, 4066, 1031, 676, 5778, 338, 25973, 976, 547, 3391, 610, 834, 333, 3572, 622, 892, 1369, 519, 32604, 540, 519, 15693, 610, 9451, 13887, 6241, 1282, 6391, 267, 543, 1031, 676, 24004, 28748, 547, 8308, 3077, 678, 307, 5960, 630, 9558, 322, 31424, 25080, 29918, 1637, 1040, 634, 1305, 540, 8800, 585, 891, 5301, 568, 5219, 547, 607, 513, 22813, 3572, 1807, 6185, 1122, 17654, 1167, 2068, 294, 7159, 630, 16058, 2567, 5274, 32376, 4016, 547, 21525, 10056, 6913, 998, 519, 3350, 540, 1480, 17873, 269, 5274, 32376, 568, 3989, 607, 536, 21317, 531, 267, 536, 13023, 553, 545, 4464, 27668, 540, 4099, 540, 8904, 540, 519, 1480, 1560, 267, 538, 799, 972, 616, 14595, 5609, 6681, 5322, 540, 1114, 12415, 540, 519, 1560, 609, 2547, 18820, 540, 1648, 269, 10468, 23757, 699, 281, 3026, 340, 4435, 637, 616, 10641, 10999, 610, 7636, 569, 3989, 23644, 12415, 540, 519, 2038, 3384, 2634, 269, 10910, 4861, 727, 637, 616, 971, 12415, 602, 1118, 909, 519, 32077, 775, 13921, 517, 610, 12042, 28090, 8160, 531, 845, 894, 6794, 281, 589, 4731, 845, 894, 6794, 630, 528, 4731, 4146, 6794, 264, 568, 513, 25992, 4806, 540, 22787, 22114, 602, 616, 1634, 610, 2219, 547, 581, 1757, 958, 1644, 630, 23997, 628, 4139, 6837, 593, 5274, 21834, 1040, 8967, 1400, 10920, 16054, 281, 1975, 1400, 10920, 16054, 568, 519, 8323, 540, 2604, 593, 835, 610, 1082, 8930, 3481, 13285, 630, 928, 1116, 791, 16636, 618, 264, 540, 519, 11983, 6241, 13034, 718, 518, 5244, 16978, 549, 10972, 1725, 2670, 281, 5082, 549, 10972, 1725, 2670, 568, 513, 1505, 540, 13844, 1344, 827, 3676, 676, 1780, 1947, 10916, 519, 5122, 2534, 540, 1560, 2694, 610, 676, 7893, 741, 3210, 547, 5007, 5122, 17003, 9950, 13152, 5948, 540, 9315, 328, 1054, 528, 25714, 17889, 281, 634, 3864, 5948, 540, 9315, 328, 1054, 528, 25714, 17889, 630, 292, 3722, 4811, 264, 568, 513, 4121, 2486, 13991, 547, 519, 2259, 540, 6315, 1054, 528, 25714, 6391, 269, 634, 1292, 3615, 540, 519, 7681, 616, 547, 4434, 2069, 538, 519, 2361, 540, 9025, 543, 5247, 25714, 6391, 543, 547, 3895, 1382, 538, 5247, 25714, 17550, 267, 21454, 267, 543, 3797, 607, 1134, 607, 547, 30136, 543, 22412, 622, 2164, 20166, 20953, 332, 641, 4100, 529, 289, 9508, 1958, 18344, 281, 589, 12498, 1958, 18344, 568, 606, 12746, 547, 3059, 7503, 630, 288, 22230, 264, 1062, 538, 799, 513, 1483, 1297, 538, 519, 1770, 8884, 568, 6719, 676, 513, 13113, 6041, 540, 513, 5311, 538, 3490, 12498, 267, 609, 12498, 1373, 513, 1483, 1297, 1063, 476, 272, 543, 476, 273, 269, 29530, 1958, 617, 619, 616, 606, 4244, 547, 2757, 4485, 547, 13942, 3009, 25244, 269, 0, 16352, 707, 4620, 8947, 5781, 568, 5393, 1271, 538, 4543, 721, 547, 2697, 543, 1521, 3676, 2038, 269, 28214, 585, 13999, 267, 6947, 585, 2295, 9597, 332, 2720, 267, 543, 10992, 707, 4620, 781, 4064, 267, 10772, 267, 2960, 267, 543, 10549, 585, 17244, 616, 1175, 513, 1906, 540, 519, 2081, 602, 938, 18362, 786, 948, 707, 4620, 3251, 2635, 269, 1284, 4363, 10130, 896, 476, 278, 1296, 1058, 723, 606, 981, 2899, 21496, 267, 1247, 10130, 3152, 982, 476, 278, 1058, 723, 513, 7466, 21496, 6514, 563, 309, 3147, 1149, 616, 930, 540, 519, 16999, 2645, 649, 4867, 723, 2139, 547, 2061, 1082, 14686, 3676, 602, 707, 4620, 949, 2097, 883, 3346, 609, 269, 15887, 625, 267, 3474, 341, 21552, 267, 543, 674, 5202, 2274, 23627, 24295, 616, 1175, 513, 1906, 540, 519, 1455, 8290, 602, 666, 3468, 707, 2915, 610, 3032, 269, 1284, 2936, 519, 1034, 1699, 12674, 10873, 547, 948, 707, 4620, 2226, 6099, 12046, 269, 1284, 1616, 596, 543, 707, 10130, 547, 1745, 2922, 950, 596, 14679, 3564, 707, 4395, 7450, 563, 291, 1581, 2068, 568, 835, 540, 519, 1034, 1455, 3768, 328, 30938, 543, 15860, 3676, 602, 649, 7237, 538, 3662, 4915, 269, 9894, 596, 917, 602, 5312, 5959, 2068, 666, 1291, 547, 1973, 13871, 3968, 602, 1223, 1198, 707, 4620, 781, 2295, 17901, 267, 6797, 267, 610, 14401, 286, 1284, 4363, 2834, 5959, 7738, 585, 707, 4620, 547, 1832, 1346, 15090, 569, 16543, 21743, 543, 602, 7362, 4195, 2336, 5978, 9744, 568, 9280, 547, 6023, 1082, 6296, 543, 6595, 10551, 5773, 269, 1284, 2259, 519, 5207, 4441, 540, 27194, 543, 3106, 585, 938, 10551, 5773, 267, 543, 1683, 9488, 840, 12845, 20469, 9584, 543, 5464, 547, 2327, 513, 2922, 10551, 1995, 269, 3776, 18874, 814, 5318, 1995, 538, 7829, 1034, 10551, 2665, 267, 2705, 267, 952, 707, 4620, 3340, 7463, 10551, 1416, 267, 649, 616, 6126, 547, 3277, 938, 7218, 547, 7404, 6391, 12665, 952, 2556, 563, 14818, 532, 707, 4620, 781, 1973, 568, 513, 1390, 1259, 547, 2708, 2949, 1072, 543, 1418, 1599, 269, 1284, 18973, 21496, 267, 6296, 1973, 1740, 547, 2697, 834, 338, 559, 550, 3676, 257, 538, 10130, 267, 971, 568, 11178, 543, 8459, 2068, 269, 1284, 849, 8415, 891, 4255, 538, 7210, 2831, 607, 513, 1797, 547, 13209, 543, 1521, 2550, 3533, 269, 14936, 267, 891, 4255, 666, 948, 721, 547, 3313, 952, 707, 4620, 568, 2635, 2614, 585, 6391, 268, 707, 4620, 781, 3106, 568, 938, 1283, 10862, 563, 19675, 707, 4620, 2154, 30674, 585, 606, 6397, 4576, 267, 649, 616, 4712, 547, 948, 269, 3776, 6413, 568, 9280, 547, 4196, 1256, 519, 7210, 652, 540, 2550, 269, 1284, 723, 6899, 267, 9602, 20453, 585, 707, 10130, 547, 3251, 267, 543, 8036, 267, 17519, 5234, 547, 7390, 547, 741, 1169, 991, 269, 1879, 707, 4620, 13978, 609, 721, 267, 596, 666, 1964, 21407, 602, 789, 786, 581, 1134, 3144, 1416, 540, 269, 0, 292, 2993, 918, 842, 27688, 693, 3163, 12139, 814, 2322, 1927, 513, 7415, 2458, 720, 1572, 2991, 8303, 281, 634, 22586, 4155, 6619, 269, 27743, 8197, 256, 634, 5580, 2451, 3113, 2982, 20406, 8375, 2518, 5434, 540, 3327, 8166, 267, 609, 711, 1256, 513, 1350, 3558, 1310, 519, 19109, 9369, 5870, 269, 634, 20327, 1310, 519, 8303, 5870, 616, 711, 4313, 532, 2901, 267, 8259, 649, 22738, 513, 7372, 4674, 563, 3719, 1631, 1413, 693, 519, 2539, 28878, 3113, 269, 6496, 4896, 3494, 602, 649, 1107, 602, 568, 267, 519, 1158, 1107, 786, 2731, 2569, 9541, 538, 5755, 267, 3282, 267, 543, 3154, 2504, 676, 936, 1269, 1911, 5479, 829, 1032, 1063, 476, 1001, 271, 543, 476, 1708, 280, 286, 2107, 602, 649, 786, 2333, 24723, 593, 1648, 4398, 676, 936, 1269, 4968, 5479, 829, 1032, 286, 2107, 602, 649, 786, 1451, 547, 3524, 6856, 811, 982, 3368, 938, 3327, 8166, 5434, 676, 476, 13975, 271, 888, 1103, 513, 13959, 2376, 267, 8693, 3444, 30030, 267, 918, 842, 27688, 13290, 547, 581, 23904, 543, 11339, 2676, 18893, 574, 1235, 1448, 547, 519, 3395, 946, 540, 3859, 267, 2842, 267, 543, 824, 7791, 1379, 2959, 543, 519, 1967, 540, 930, 6082, 267, 971, 607, 16862, 630, 5408, 533, 269, 476, 9083, 271, 1070, 538, 1225, 6883, 5434, 269, 1809, 8375, 5434, 689, 3624, 267, 3127, 267, 543, 824, 3384, 6082, 616, 32761, 532, 602, 3356, 269, 1656, 519, 771, 7356, 3950, 2594, 540, 2518, 2916, 12909, 26182, 2370, 6015, 602, 6082, 666, 3858, 547, 1118, 519, 5458, 2242, 2838, 547, 3247, 8156, 519, 5790, 899, 513, 3327, 29326, 563, 27078, 582, 328, 2209, 554, 3291, 1782, 538, 8303, 1985, 3018, 616, 18617, 891, 12909, 786, 581, 1114, 269, 769, 19109, 9369, 267, 6082, 13986, 547, 1711, 513, 16155, 11006, 6876, 267, 799, 13604, 8959, 547, 5838, 2164, 538, 851, 1317, 519, 2136, 2276, 1131, 711, 3731, 1518, 519, 14097, 269, 901, 942, 267, 6082, 1765, 13932, 540, 873, 267, 676, 519, 942, 3163, 4682, 547, 2046, 1765, 17647, 1142, 5423, 26823, 2471, 267, 1572, 2271, 2105, 13780, 958, 10318, 1441, 19928, 1903, 630, 18853, 12336, 1070, 799, 1469, 741, 16219, 5434, 11912, 543, 824, 3527, 998, 476, 10711, 271, 563, 27078, 582, 328, 2209, 4126, 519, 5377, 5346, 5442, 17584, 1935, 786, 7173, 841, 1141, 519, 1283, 16365, 19109, 9369, 4640, 8959, 269, 15043, 6082, 7361, 12758, 547, 519, 521, 573, 3894, 538, 3105, 12909, 269, 901, 942, 3592, 3025, 31251, 3624, 543, 3127, 630, 5408, 533, 269, 476, 9083, 275, 28931, 13757, 26823, 3022, 547, 3970, 5434, 269, 1656, 676, 21945, 538, 8303, 609, 26823, 2471, 538, 1688, 267, 7858, 328, 2209, 4126, 547, 2057, 519, 2063, 18826, 4666, 331, 4169, 602, 723, 798 ]

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

[ 1590, 581, 513, 8675, 282, 543, 454, 258, 1948, 2608, 1703, 1590, 581, 513, 2387, 326, 10232, 319, 1883, 602, 1590, 581, 513, 1592, 610, 24042, 267, 865, 602, 649, 666, 946, 2387, 8999, 13237, 543, 2387, 6352, 13237, 593, 873, 563, 258, 1948, 454, 258, 1948, 898, 1131, 581, 1390, 952, 649, 1223, 723, 1945, 3330, 938, 8675, 602, 1131, 2132, 519, 3328, 3446, 269, 2334, 1797, 519, 1599, 1131, 2661, 538, 519, 1482, 1747, 607, 519, 1239, 267, 543, 1287, 621, 779, 4443, 547, 1294, 2436, 519, 1239, 649, 2154, 814, 4957, 610, 711, 563, 258, 1948, 454, 258, 1948, 23985, 1315, 3697, 270, 713, 912, 258, 1948, 8173, 258, 1948, 454, 258, 1948, 454, 258, 1948, 1250, 318, 30700, 815, 13634, 258, 1948, 567, 1412, 4067, 9166, 1412, 305, 6504, 8055, 22779, 258, 1948, 567, 1412, 326, 10232, 9166, 1496, 3583, 267, 476, 6434, 267, 476, 3445, 267, 476, 4200, 16689, 258, 1948, 567, 1412, 320, 2071, 9166, 476, 271, 1948, 1945, 1934, 547, 5173, 454, 258, 1948, 7684, 454, 258, 1948, 454, 258, 1948, 8173, 258, 1948, 898, 1131, 581, 9735, 952, 649, 1223, 798, 713, 267, 543, 6923, 519, 2387, 262, 320, 2071, 262, 319, 1131, 723, 547, 1689, 950, 1287, 2387, 262, 326, 10232, 319, 2242, 269, 898, 1590, 581, 513, 1599, 563, 258, 1948, 454, 258, 1948, 2608, 2467, 779, 1100, 1259, 547, 798, 713, 538, 513, 8675, 265, 563, 258, 1948, 454, 258, 1948, 590, 13446, 2336, 258, 1948, 454, 258, 1948, 1284, 1590, 946, 3615, 585, 713, 269, 1284, 666, 2253, 676, 3206, 540, 3615, 607, 1919, 602, 666, 4558, 1312, 1239, 543, 3252, 602, 9305, 547, 602, 1239, 563, 258, 1948, 454, 258, 1948, 3371, 779, 602, 630, 4532, 8091, 264, 8675, 538, 1843, 3898, 912, 258, 1948, 8173, 258, 1948, 454, 258, 1948, 1362, 9906, 912, 258, 1948, 567, 1219, 6449, 8181, 9191, 1345, 267, 1007, 12173, 267, 1007, 14682, 10232, 2187, 258, 1948, 672, 1582, 20508, 815, 1007, 12173, 454, 258, 1948, 672, 1582, 3052, 10232, 815, 1007, 14682, 10232, 454, 258, 1948, 454, 258, 1948, 567, 1219, 3328, 4311, 2187, 258, 1948, 672, 2132, 2040, 4311, 3052, 10232, 264, 1315, 7003, 4311, 3052, 10232, 994, 258, 1948, 454, 258, 1948, 8173, 258, 1948, 2480, 776, 16105, 256, 5213, 1406, 5855, 1765, 6343, 621, 1281, 568, 2673, 547, 519, 1482, 563, 258, 1948, 454, 258, 1948, 1879, 596, 723, 602, 1362, 267, 596, 666, 1711, 3615, 1210, 621, 269, 2913, 779, 798, 602, 1101, 543, 1287, 2491, 4010, 1018, 568, 8345, 912, 258, 1948, 8173, 258, 1948, 454, 258, 1948, 2875, 318, 821, 815, 9906, 3488, 305, 6504, 8055, 3299, 1496, 3583, 267, 476, 6434, 267, 476, 3445, 267, 476, 4200, 7481, 258, 1948, 2875, 4671, 6851, 815, 9906, 3488, 297, 846, 3299, 1496, 2004, 267, 476, 2568, 267, 476, 4200, 267, 476, 1911, 7481, 258, 1948, 454, 258, 1948, 8173, 258, 1948, 1677, 1711, 513, 1007, 1843, 267, 649, 946, 519, 1362, 2012, 607, 952, 621, 941, 513, 1599, 1289, 281, 2387, 22923, 13237, 563, 258, 1948, 454, 258, 1948, 18738, 519, 23049, 267, 649, 2322, 7440, 602, 786, 4786, 547, 519, 2387, 1029, 8181, 1029, 319, 1505, 538, 519, 2387, 22923, 319, 1362, 563, 258, 1948, 454, 258, 1948, 2387, 22923, 3488, 305, 6504, 8055, 3299, 1496, 3583, 267, 476, 6434, 267, 476, 3445, 267, 476, 4200, 8079, 319, 7851, 547, 2387, 1029, 8181, 9191, 1345, 267, 1007, 12173, 267, 1007, 14682, 10232, 23375, 563, 258, 1948, 454, 258, 1948, 1548, 596, 1439, 909, 609, 568, 513, 1315, 2251, 270, 602, 814, 1079, 3601, 267, 2387, 4067, 319, 543, 2387, 326, 10232, 319, 563, 258, 1948, 8173, 258, 1948, 454, 258, 1948, 1820, 263, 30700, 318, 821, 20508, 994, 258, 1948, 1820, 263, 30700, 4671, 6851, 20508, 994, 258, 1948, 454, 258, 1948, 8173, 258, 1948, 18738, 519, 2387, 1029, 8181, 1029, 319, 1505, 267, 649, 946, 2387, 1345, 20508, 319, 543, 2387, 1345, 3052, 10232, 18269, 2387, 1345, 319, 568, 519, 1699, 1843, 267, 865, 950, 649, 3651, 2418, 649, 12189, 1152, 519, 968, 9690, 1843, 9731, 258, 1948, 8173, 258, 1948, 454, 258, 1948, 9906, 3488, 305, 6504, 8055, 3299, 1496, 3583, 267, 476, 6434, 267, 476, 3445, 267, 476, 4200, 7481, 258, 1948, 454, 258, 1948, 1219, 6449, 8181, 9191, 1345, 267, 1007, 12173, 267, 9344, 2187, 258, 1948, 476, 1582, 20508, 815, 1007, 12173, 454, 258, 1948, 476, 1582, 3052, 10232, 815, 1007, 14682, 10232, 454, 258, 1948, 454, 258, 1948, 8173, 258, 1948, 1879, 596, 798, 713, 267, 2387, 1345, 319, 568, 519, 1007, 1843, 596, 616, 2870, 269, 1411, 666, 3651, 621, 547, 513, 4756, 912, 258, 1948, 8173, 258, 1948, 454, 258, 1948, 2875, 318, 821, 815, 9906, 3488, 305, 6504, 8055, 3299, 1496, 3583, 267, 476, 6434, 267, 476, 3445, 267, 476, 4200, 7481, 258, 1948, 454, 258, 1948, 8173, 258, 1948, 1306, 596, 798, 602, 811, 267, 1169, 1843, 568, 513, 1114, 2387, 1345, 12452, 476, 609, 8335, 8655, 3601, 4470, 593, 1018, 596, 5293, 547, 519, 2387, 22923, 13237, 1315, 24554, 528, 270, 1289, 563, 258, 1948, 8173, 258, 1948, 454, 258, 1948, 1948, 16544, 454, 258, 1948, 454, 258, 1948, 8173, 258, 1948, 15346, 267, 865, 1631, 649, 723, 519, 3615, 267, 1312, 540, 799, 723, 1114, 3601, 912, 258, 1948, 8173, 258, 1948, 454, 258, 1948, 2875, 318, 821, 815, 9906, 3488, 305, 6504, 8055, 3299, 1496, 3583, 267, 476, 6434, 267, 476, 3445, 267, 476, 4200, 7481, 258, 1948, 2875, 4671, 6851, 815, 9906, 3488, 297, 846, 3299, 1496, 2004, 267, 476, 2568, 267, 476, 4200, 267, 476, 1911, 7481, 258, 1948, 454, 258, 1948, 8173, 258, 1948, 1452, 616, 9041, 13678, 1791, 318, 547, 938, 21594, 267, 538, 602, 519, 21594, 849, 4558, 2418, 912, 258, 1948, 8173, 258, 1948, 454, 258, 1948, 546, 318, 30700, 318, 821, 815, 13634, 258, 1948, 567, 1412, 4067, 9166, 1412, 305, 6504, 8055, 22779, 258, 1948, 567, 1412, 326, 10232, 9166, 1496, 3583, 267, 476, 6434, 267, 476, 3445, 267, 476, 4200, 2639, 258, 1948, 7684, 454, 258, 1948, 546, 318, 30700, 4671, 6851, 815, 13634, 258, 1948, 567, 1412, 4067, 9166, 1412, 297, 846, 22779, 258, 1948, 567, 1412, 326, 10232, 9166, 1496, 2004, 267, 476, 2568, 267, 476, 4200, 267, 476, 1911, 2639, 258, 1948, 7684, 454, 258, 1948, 454, 258, 1948, 8173, 258, 1948, 1677, 1569, 873, 912, 258, 1948, 454, 258, 1948, 476, 8199, 258, 1948, 2875, 318, 821, 20508, 454, 258, 1948, 2875, 318, 821, 3052, 10232, 454, 258, 1948, 454, 258, 1948, 2875, 4671, 6851, 20508, 454, 258, 1948, 2875, 4671, 6851, 3052, 10232, 454, 258, 1948, 454, 258, 1948, 546, 318, 30700, 318, 821, 9131, 4067, 23300, 258, 1948, 546, 318, 30700, 318, 821, 9131, 326, 10232, 23300, 258, 1948, 454, 258, 1948, 546, 318, 30700, 4671, 6851, 9131, 4067, 23300, 258, 1948, 546, 318, 30700, 4671, 6851, 9131, 326, 10232, 23300, 258, 1948, 476, 8199, 258, 1948, 8173, 258, 1948, 454, 258, 1948, 1948, 10613, 454, 258, 1948, 454, 258, 1948, 8173, 258, 1948, 3436, 589, 1505, 568, 513, 1599, 799, 2729, 538, 513, 1362, 563, 258, 1948, 454, 258, 1948, 634, 2387, 320, 2071, 13237, 1505, 538, 519, 9906, 20465, 1362, 849, 814, 1569, 547, 2387, 1345, 12452, 519, 1699, 1843, 269, 1879, 649, 1289, 519, 1505, 912, 258, 1948, 8173, 258, 1948, 454, 258, 1948, 1820, 263, 30700, 318, 821, 18502, 2071, 15405, 258, 1948, 454, 258, 1948, 8173, 258, 1948, 1548, 568, 2731, 8345, 538, 519, 4282, 568, 912, 258, 1948, 8173, 258, 1948, 454, 258, 1948, 1820, 263, 22923, 18502, 2071, 263, 30700, 318, 821, 4917, 258, 1948, 454, 258, 1948, 8173, 258, 1948, 1306, 596, 666, 1294, 267, 2387, 30700, 318, 821, 319, 568, 5293, 607, 519, 1101, 4661, 630, 663, 602, 568, 1018, 2387, 1345, 319, 568, 538, 519, 1505, 4214, 2187, 258, 1948, 8173, 258, 1948, 454, 258, 1948, 1219, 3328, 4311, 2187, 258, 1948, 567, 2132, 2040, 4311, 3052, 10232, 264, 1315, 7003, 4311, 3052, 10232, 994, 258, 1948, 454, 258, 1948, 8173, 258, 1948, 1924, 1586, 267, 1317, 2387, 1345, 319, 568, 2387, 30700, 318, 821, 12452, 2387, 1345, 3052, 10232, 319, 568, 2387, 30700, 318, 821, 3052, 10232, 319, 563, 258, 1948, 454, 258, 1948, 4935, 912, 258, 1948, 454, 258, 1948, 2608, 634, 2040, 540, 2387, 1345, 3052, 10232, 319, 568, 519, 2040, 540, 2387, 314, 3583, 267, 476, 6434, 267, 476, 3445, 267, 476, 4200, 316, 29699, 476, 31003, 563, 258, 1948, 2608, 634, 3259, 540, 2387, 1345, 3052, 10232, 319, 568, 476, 275, 563, 258, 1948, 454, 258, 1948, 634, 1267, 786, 581, 2387, 10436, 269, 4037, 319, 563, 258, 1948, 8173, 258, 1948, 454, 258, 1948, 1535, 815, 3328, 454, 258, 1948, 454, 258, 1948, 1820, 3287, 15405, 258, 1948, 1948, 1234, 5115, 454, 258, 1948, 454, 258, 1948, 8173, 258, 1948, 3807, 547, 973, 777, 267, 519, 1362, 568, 1360, 2147, 547, 519, 8675, 855, 621, 2636, 721, 547, 1331, 2409, 607, 1134, 602, 723, 1569, 547, 519, 3601, 540, 519, 1843, 649, 2813, 563, 258, 1948, 454, 258, 1948, 26643, 849, 3947, 721, 513, 19619, 811, 10342, 267, 649, 3580, 1413, 693, 602, 538, 519, 4947, 7044, 2336, 258, 1948, 8173, 258, 1948, 454, 258, 1948, 454, 258, 1948, 1362, 12275, 720, 912, 258, 1948, 672, 1219, 6449, 8181, 9191, 1345, 2187, 258, 1948, 1363, 1582, 6983, 1513, 815, 11713, 258, 1948, 454, 258, 1948, 672, 1219, 6449, 6352, 9191, 1345, 2187, 258, 1948, 1363, 2132, 7003, 4311, 6983, 1513, 994, 258, 1948, 454, 258, 1948, 672, 1219, 6449, 23437, 14403, 9191, 1345, 267, 1883, 2187, 258, 1948, 1363, 1582, 6983, 1513, 314, 4486, 2639, 258, 1948, 454, 258, 1948, 672, 1219, 6449, 1326, 14403, 9191, 1345, 267, 1883, 2187, 258, 1948, 1363, 2132, 1582, 6983, 1513, 314, 4486, 2639, 258, 1948, 454, 258, 1948, 672, 1219, 6449, 3553, 14403, 9191, 1345, 267, 1883, 267, 1871, 2187, 258, 1948, 1363, 1582, 6983, 1513, 314, 4486, 316, 815, 476, 1871, 454, 258, 1948, 454, 258, 1948, 454, 258, 1948, 585, 323, 815, 12275, 720, 4590, 258, 1948, 585, 323, 6983, 1513, 6910, 3488, 293, 625, 3279, 5073, 258, 1948, 585, 323, 6983, 1513, 6910, 3488, 30696, 5073, 258, 1948, 454, 258, 1948, 1820, 263, 5112, 6983, 1513, 994, 258, 1948, 1820, 12759, 263, 5112, 4917, 258, 1948, 1820, 263, 5112, 314, 272, 7481, 258, 1948, 585, 323, 314, 272, 316, 815, 1412, 4565, 320, 7055, 258, 1948, 1820, 263, 5112, 314, 272, 7481, 258, 1948, 454, 258, 1948, 585, 1286, 538, 585, 323, 912, 258, 1948, 672, 1820, 6262, 541, 994, 258, 1948, 454, 258, 1948, 454, 258, 1948, 1362, 9906, 912, 258, 1948, 672, 1219, 6449, 8181, 9191, 1345, 267, 2012, 267, 1153, 2187, 258, 1948, 1363, 1582, 20508, 815, 2012, 454, 258, 1948, 1363, 1582, 4732, 1041, 815, 1153, 454, 258, 1948, 1363, 1582, 269, 12201, 815, 11713, 258, 1948, 454, 258, 1948, 672, 1219, 3328, 4311, 2187, 258, 1948, 1363, 2132, 2040, 4311, 269, 12201, 264, 1315, 7003, 4311, 269, 12201, 994, 258, 1948, 454, 258, 1948, 454, 258, 1948, 3045, 320, 815, 9906, 2891, 2304, 3534, 2580, 834, 23682, 5112, 5602, 258, 1948, 454, 258, 1948, 8173, 258, 1948, 5994, 596, 4076, 3893, 513, 1362, 899, 519, 1657, 267, 543, 596, 1616, 547, 1711, 513, 2147, 1362, 609, 930, 3063, 10342, 269, 1280, 1383, 267, 513, 2875, 602, 711, 1152, 814, 7436, 855, 849, 513, 14057, 12544, 2387, 22998, 22923, 319, 912, 258, 1948, 8173, 258, 1948, 454, 258, 1948, 1362, 11554, 22923, 912, 258, 1948, 672, 1219, 6449, 8181, 9191, 1345, 267, 2012, 267, 1153, 267, 14057, 2187, 258, 1948, 1363, 1582, 20508, 815, 2012, 454, 258, 1948, 1363, 1582, 4732, 1041, 815, 1153, 454, 258, 1948, 1363, 1582, 269, 12201, 815, 11713, 258, 1948, 1363, 1582, 4732, 531, 776, 815, 14057, 454, 258, 1948, 454, 258, 1948, 672, 1219, 3328, 4311, 2187, 258, 1948, 1363, 2132, 2040, 4311, 269, 12201, 264, 1315, 7003, 4311, 269, 12201, 994, 258, 1948, 454, 258, 1948, 454, 258, 1948, 887, 331, 325, 815, 11554, 22923, 2891, 305, 6504, 2580, 834, 300, 3951, 2580, 476, 1428, 269, 2004, 994, 258, 1948, 454, 258, 1948, 8173, 258, 1948, 1717, 596, 666, 1294, 972, 779, 513, 2603, 540, 5918, 6473, 1063 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 547, 9718, 19811, 262, 960, 607, 1101, 2557, 3332, 267, 2943, 1934, 781, 519, 2462, 645, 7473, 596, 6785, 729, 4947, 563, 3719, 267, 744, 300, 294, 29755, 1352, 5206, 621, 538, 1101, 1268, 11553, 2464, 7728, 13029, 563, 296, 1223, 2760, 1205, 6899, 609, 519, 13029, 269, 3502, 1317, 519, 2278, 729, 13546, 696, 538, 519, 2511, 1352, 729, 9001, 267, 2094, 547, 519, 14669, 267, 19811, 568, 513, 2484, 811, 4810, 5856, 982, 594, 993, 267, 543, 594, 723, 4986, 855, 2463, 585, 1200, 267, 855, 1317, 18864, 2608, 716, 1302, 1936, 919, 1169, 24971, 2034, 540, 741, 1272, 269, 898, 781, 3274, 32601, 547, 798, 865, 563, 1432, 649, 798, 538, 4641, 568, 723, 4555, 267, 1287, 1279, 536, 8083, 540, 1554, 29681, 610, 31325, 7477, 14688, 856, 693, 519, 6607, 267, 543, 938, 4555, 782, 855, 28201, 2476, 883, 938, 32436, 267, 543, 538, 891, 2053, 1141, 938, 4555, 973, 27827, 938, 2247, 4422, 10145, 543, 649, 723, 8090, 540, 1990, 523, 563, 4322, 8090, 10093, 8164, 649, 1654, 326, 856, 538, 4395, 540, 519, 7641, 610, 1247, 17774, 532, 519, 1357, 610, 1247, 6947, 547, 1434, 2575, 269, 5620, 596, 2479, 14478, 513, 16168, 3032, 3381, 593, 13334, 543, 1936, 730, 621, 547, 3054, 538, 1483, 942, 286, 31598, 711, 269, 14348, 333, 1405, 621, 581, 9490, 952, 1004, 2965, 1705, 602, 888, 4517, 1934, 781, 1250, 24255, 269, 4658, 667, 2177, 31415, 2965, 798, 602, 269, 1358, 1152, 798, 602, 538, 9089, 602, 616, 2854, 538, 1101, 1268, 1459, 13029, 269, 6904, 568, 20868, 563, 3383, 594, 1265, 513, 2603, 4636, 609, 602, 1880, 2511, 13745, 609, 602, 1880, 13029, 269, 594, 786, 1034, 2693, 2057, 1101, 1268, 1459, 13029, 607, 519, 6174, 547, 1936, 622, 1250, 1378, 2984, 267, 8259, 18825, 568, 18530, 2724, 693, 803, 547, 798, 865, 267, 538, 799, 2013, 267, 594, 1131, 25747, 8078, 324, 269, 1809, 6382, 267, 594, 786, 4440, 2057, 23993, 1346, 1079, 538, 519, 2062, 5408, 762, 2104, 563, 19602, 267, 594, 1589, 952, 596, 1616, 547, 7903, 3054, 607, 513, 5856, 267, 543, 2119, 1945, 1483, 4101, 267, 2119, 1603, 513, 3209, 609, 15823, 26690, 3197, 267, 689, 2789, 5380, 267, 1585, 14789, 267, 543, 593, 1283, 540, 621, 782, 12235, 593, 606, 6946, 4729, 540, 954, 933, 3058, 1650, 3515, 267, 1287, 1205, 621, 782, 547, 15074, 269, 594, 1745, 602, 7307, 607, 1454, 609, 1250, 3209, 9779, 1084, 281, 589, 1763, 18675, 28202, 14525, 267, 543, 4352, 621, 13934, 803, 538, 3592, 1169, 1259, 267, 594, 8057, 811, 607, 513, 5856, 689, 713, 835, 1433, 982, 594, 1131, 723, 1185, 594, 12758, 547, 2241, 1101, 1268, 9423, 269, 2334, 594, 993, 2386, 540, 563, 9617, 930, 1426, 585, 2219, 267, 596, 917, 267, 952, 596, 2811, 606, 14971, 5856, 269, 0, 1103, 1323, 2296, 15858, 910, 7638, 2125, 454, 10743, 544, 830, 5961, 543, 7058, 1018, 1344, 568, 1373, 19500, 269, 4635, 1007, 6863, 267, 789, 2626, 2055, 827, 513, 1650, 789, 1224, 269, 4841, 1404, 513, 3014, 543, 2328, 513, 4484, 7713, 741, 1489, 610, 20060, 6269, 677, 540, 9849, 1153, 26977, 563, 274, 14358, 476, 271, 20042, 454, 16215, 476, 272, 281, 4826, 568, 5020, 281, 634, 9839, 543, 3163, 19992, 713, 1912, 19189, 454, 12850, 267, 1216, 267, 10876, 2443, 855, 786, 972, 581, 2614, 547, 4235, 286, 6744, 856, 891, 2143, 3992, 4566, 547, 2743, 15726, 7704, 1216, 4783, 543, 18938, 7924, 4441, 538, 707, 2257, 4928, 269, 22996, 798, 513, 2673, 2542, 540, 513, 4101, 267, 19621, 1257, 2483, 277, 628, 910, 476, 279, 628, 2296, 5678, 8551, 18938, 281, 23850, 454, 6124, 5623, 966, 30743, 281, 3127, 781, 11162, 268, 10000, 595, 4319, 454, 8340, 707, 13395, 538, 519, 2257, 4928, 269, 22996, 1353, 519, 1909, 540, 13395, 5095, 1369, 606, 5117, 543, 2015, 519, 1764, 540, 519, 2530, 540, 891, 7103, 269, 4256, 7634, 2882, 642, 30743, 267, 9932, 10987, 267, 543, 19498, 563, 277, 628, 910, 476, 279, 628, 3163, 18938, 281, 23850, 454, 6124, 5623, 2913, 779, 5192, 11933, 3749, 6168, 19204, 454, 7476, 909, 2673, 543, 2123, 609, 2281, 538, 513, 3946, 6823, 3460, 547, 3605, 1018, 2306, 909, 2713, 1919, 269, 18623, 1451, 3407, 17209, 1983, 267, 5490, 883, 519, 7073, 8426, 7869, 267, 543, 2744, 5813, 883, 875, 2281, 16196, 269, 634, 3769, 2978, 2483, 277, 628, 3163, 18938, 281, 23850, 454, 6124, 5623, 834, 17556, 518, 257, 19331, 731, 13241, 281, 5516, 619, 538, 10960, 11982, 454, 13914, 899, 606, 11653, 543, 606, 6694, 10196, 936, 519, 1576, 540, 476, 1321, 4245, 538, 513, 13241, 1759, 1770, 269, 8479, 3744, 1491, 593, 519, 5107, 540, 3662, 28772, 5505, 267, 3662, 4719, 1235, 267, 6694, 8030, 267, 3662, 6484, 1235, 267, 543, 2483, 274, 6113, 910, 476, 276, 628, 3163, 18938, 281, 23850, 0, 306, 2316, 17247, 310, 2969, 2207, 267, 21411, 5055, 269, 910, 4841, 543, 3744, 10356, 693, 519, 13013, 308, 772, 3008, 22947, 13749, 593, 13638, 538, 13922, 540, 5355, 4049, 4365, 21855, 563, 2005, 781, 851, 540, 519, 14160, 5495, 291, 5336, 4338, 1788, 267, 543, 1053, 689, 519, 2160, 540, 20274, 267, 20274, 3557, 2160, 267, 2160, 540, 17996, 543, 2160, 540, 27228, 9250, 19025, 547, 2268, 4365, 2175, 563, 2108, 3725, 958, 267, 1018, 649, 2461, 3168, 585, 568, 3384, 1949, 547, 948, 721, 1732, 1174, 519, 5790, 543, 2087, 4365, 20925, 2437, 1767, 808, 877, 344, 15243, 267, 8689, 540, 519, 1133, 2006, 2740, 3194, 4659, 693, 13013, 308, 563, 763, 2175, 666, 581, 20794, 539, 547, 519, 2817, 16661, 6796, 267, 543, 519, 3804, 568, 547, 2285, 811, 1291, 942, 593, 4049, 4365, 563, 763, 19025, 666, 8038, 2362, 982, 2757, 2234, 1513, 543, 20794, 1919, 899, 11195, 267, 22406, 543, 2837, 269, 634, 19025, 616, 849, 9280, 609, 8596, 543, 666, 8038, 909, 547, 476, 274, 267, 1822, 3952, 563, 288, 2462, 3804, 540, 519, 1788, 568, 547, 3986, 28575, 21855, 563, 18658, 649, 8910, 899, 547, 581, 2111, 547, 798, 568, 1205, 547, 606, 5662, 267, 543, 519, 14368, 5505, 616, 8746, 602, 267, 952, 649, 1683, 873, 609, 519, 2953, 1239, 267, 789, 3580, 581, 2111, 547, 1205, 621, 547, 602, 1448, 2437, 15243, 1767, 563, 763, 1788, 1869, 814, 827, 1079, 811, 1296, 540, 4152, 543, 267, 2899, 519, 19025, 616, 1031, 538, 2259, 267, 789, 666, 849, 948, 24633, 21804, 540, 31285, 269, 0, 30875, 6424, 774, 648, 879, 4828, 267, 3194, 7433, 454, 2005, 3884, 1406, 1360, 1419, 602, 513, 3020, 25174, 812, 2501, 2059, 269, 774, 648, 879, 729, 513, 3020, 25174, 812, 269, 774, 648, 879, 729, 5461, 538, 1082, 1114, 1919, 269, 1261, 546, 13741, 1194, 538, 519, 9443, 282, 3226, 7762, 1415, 543, 7350, 267, 607, 1134, 607, 1454, 811, 1950, 2093, 971, 607, 6138, 543, 16637, 1581, 1143, 269, 774, 648, 879, 729, 513, 5963, 7415, 812, 563, 7212, 774, 648, 879, 568, 1158, 569, 15646, 895, 585, 1010, 10952, 2093, 267, 12591, 543, 6436, 267, 646, 729, 849, 513, 13085, 10196, 269, 1280, 1383, 267, 774, 648, 879, 929, 3660, 5128, 538, 1373, 2111, 547, 2285, 693, 1022, 2016, 4090, 267, 519, 23481, 562, 32393, 1155, 540, 3592, 1022, 2030, 610, 3662, 269, 774, 648, 879, 849, 13736, 8101, 2713, 267, 543, 5368, 1203, 539, 519, 968, 327, 684, 614, 3766, 520, 1877, 337, 892, 2856, 563, 8170, 782, 519, 1702, 649, 723, 540, 5493, 23534, 18508, 267, 1034, 540, 621, 2501, 689, 519, 2090, 540, 774, 648, 879, 269, 774, 648, 879, 6026, 721, 676, 4693, 543, 5470, 1018, 649, 1223, 543, 1223, 711, 3548, 689, 519, 18137, 269, 13518, 540, 1010, 4681, 616, 1336, 538, 8261, 338, 971, 607, 634, 8136, 779, 12197, 6651, 585, 17073, 27834, 269, 4014, 596, 2461, 711, 2693, 547, 1265, 6668, 8261, 338, 543, 2835, 593, 17580, 3552, 2371, 538, 13416, 3332, 267, 972, 616, 1082, 2835, 593, 971, 3584, 563, 1320, 648, 879, 729, 849, 606, 5140, 6668, 626, 269, 1280, 1383, 269, 20764, 1005, 883, 519, 18137, 646, 5645, 609, 1864, 10416, 4986, 543, 1869, 646, 7307, 547, 2661, 1055, 519, 2244, 1256, 998, 519, 27162, 4554, 540, 24475, 267, 513, 7415, 9028, 585, 4896, 547, 9585, 269, 1306, 1134, 607, 513, 6668, 626, 267, 774, 648, 879, 729, 849, 835, 540, 519, 1101, 5726, 626, 269, 774, 648, 879, 779, 2093, 593, 5726, 941, 5293, 1524, 547, 519, 18971, 540, 5726, 282, 7338, 16423, 324, 543, 31187, 17619, 563, 1320, 648, 879, 729, 17216, 513, 25174, 812, 269, 1261, 838, 22931, 519, 2067, 2065, 1158, 609, 1010, 538, 3178, 6436, 543, 2090, 269, 1261, 849, 8118, 909, 513, 2898, 1007, 1158, 282, 519, 1158, 540, 5726, 269, 3509, 5026, 5443, 543, 7255, 4961, 723, 4553, 774, 648, 879, 538, 519, 726, 697, 547, 1732, 519, 4541, 269, 774, 648, 879, 10660, 1229, 519, 2413, 2257, 540, 16909, 7067, 267, 543, 17580, 3552, 2371, 269, 774, 648, 879, 729, 6619, 540, 1010, 942, 543, 729, 513, 5963, 7415, 812, 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 ]

[ 741, 2085, 543, 4397, 11095, 5759, 269, 4841, 609, 513, 5868, 540, 23206, 4347, 7228, 13081, 1459, 609, 891, 543, 824, 2589, 971, 607, 3668, 540, 1582, 18221, 267, 26740, 2019, 819, 267, 4057, 2324, 3965, 543, 26093, 5615, 269, 1215, 798, 649, 3914, 543, 4001, 891, 1053, 286, 22067, 547, 713, 29519, 547, 1451, 827, 519, 5767, 1382, 267, 1732, 1174, 713, 4524, 543, 547, 4019, 2994, 543, 22581, 547, 948, 873, 8011, 563, 7343, 15533, 27870, 519, 11374, 22912, 919, 454, 268, 3213, 2286, 5753, 1299, 1855, 839, 2433, 5082, 1161, 0, 26123, 32090, 9082, 9244, 5156, 538, 519, 5610, 540, 4641, 609, 7919, 689, 17691, 543, 14868, 269, 769, 741, 9637, 267, 972, 729, 1100, 10465, 19459, 519, 1570, 543, 5289, 10600, 269, 29331, 543, 9589, 7919, 267, 941, 606, 538, 29323, 762, 851, 540, 519, 8723, 3232, 1272, 543, 1576, 540, 1272, 540, 782, 31557, 563, 15447, 1578, 540, 25655, 12738, 267, 9589, 2853, 543, 4984, 568, 1759, 5631, 593, 2854, 2959, 267, 17691, 543, 6071, 28756, 675, 269, 769, 519, 2025, 32090, 2477, 267, 519, 2551, 16119, 5156, 538, 17691, 610, 14868, 269, 634, 3328, 1268, 1185, 1100, 2856, 875, 547, 5706, 9589, 7919, 543, 9259, 602, 646, 1522, 7237, 1282, 1010, 32603, 902, 269, 901, 568, 1946, 865, 1082, 17260, 941, 3964, 269, 634, 3544, 1158, 729, 5631, 30409, 1282, 2112, 610, 4123, 30295, 267, 543, 18318, 267, 521, 13396, 516, 3464, 543, 17308, 612, 525, 3576, 936, 519, 1909, 540, 561, 807, 11143, 609, 4948, 4641, 269, 898, 729, 789, 945, 27058, 519, 1702, 602, 4847, 873, 547, 4339, 519, 4229, 540, 9409, 563, 300, 20723, 543, 922, 3741, 454, 300, 698, 673, 2853, 538, 3504, 22778, 807, 941, 5631, 5645, 856, 676, 2021, 267, 1572, 966, 7238, 331, 9366, 676, 519, 17137, 269, 9093, 945, 5887, 3293, 883, 519, 2619, 540, 22408, 1356, 344, 1223, 28855, 1125, 741, 5256, 11348, 267, 607, 789, 941, 16143, 540, 2498, 655, 514, 2329, 267, 543, 713, 729, 513, 771, 323, 664, 585, 513, 22871, 540, 12703, 543, 4250, 1652, 21847, 269, 31557, 7463, 5631, 538, 2196, 545, 9059, 267, 855, 789, 6785, 543, 1419, 1031, 824, 8677, 281, 694, 573, 337, 267, 838, 2801, 543, 7523, 20142, 269, 1280, 1142, 540, 891, 10459, 267, 11733, 729, 513, 1360, 1271, 3693, 269, 634, 9589, 1148, 540, 694, 573, 337, 267, 666, 581, 3379, 547, 695, 16120, 1143, 1107, 519, 917, 518, 4607, 1344, 827, 519, 2104, 689, 11937, 543, 14326, 269, 901, 4847, 1200, 547, 2061, 2068, 267, 3589, 519, 2104, 543, 5641, 1225, 4513, 267, 543, 1256, 6318, 519, 4666, 269, 8895, 20142, 1107, 568, 513, 3099, 540, 694, 573, 337, 267, 799, 20705, 547, 22072, 1004, 269, 901, 7936, 1223, 581, 13736, 676, 2367, 1510, 2530, 540, 15683, 269, 898, 3238, 7574, 12738, 602, 2322, 835, 538, 513, 959, 766, 267, 28823, 1494, 687, 543, 20715, 598, 1723, 2388, 267, 543, 16213, 1347, 916, 593, 519, 2247, 540, 606, 18545, 269, 1975, 2801, 267, 593, 519, 824, 1688, 267, 729, 2404, 609, 4230, 1537, 2951, 267, 16909, 1143, 543, 7067, 563, 18131, 945, 7722, 538, 9059, 1185, 547, 723, 513, 2178, 7209, 269, 1358, 941, 7925, 547, 15896, 610, 519, 32716, 540, 694, 619, 1282, 12738, 269, 1358, 6719, 8723, 1004, 538, 519, 30608, 1158, 950, 1818, 13668, 267, 607, 1134, 607, 12109, 603, 338, 538, 519, 1480, 1158, 950, 23142, 22649, 269, 1280, 713, 2601, 267, 17174, 865, 16251, 16558, 941, 3810, 15197, 267, 543, 1100, 835, 6836, 547, 2243, 741, 1983, 607, 1134, 607, 741, 2990, 269, 634, 3504, 521, 13396, 19843, 5030, 538, 7733, 543, 593, 519, 856, 12921, 16630, 540, 17260, 267, 1223, 1293, 593, 25055, 267, 5030, 593, 741, 1378, 2474, 267, 543, 941, 711, 22983, 676, 519, 2551, 585, 1100, 7805, 2601, 269, 1358, 849, 1185, 10058, 4773, 540, 7802, 267, 543, 1705, 711, 851, 609, 741, 27972, 752, 267, 26372, 543, 17309, 269, 3962, 851, 540, 519, 28459, 729, 1500, 540, 3662, 2960, 267, 1317, 621, 729, 5156, 602, 513, 1268, 9849, 9663, 1131, 2744, 3870, 609, 519, 10971, 610, 1569, 547, 741, 7060, 563, 300, 19390, 6652, 12090, 689, 14868, 267, 855, 25655, 9059, 814, 7899, 538, 1455, 609, 873, 269, 6468, 945, 1223, 543, 838, 684, 540, 741, 1378, 1863, 786, 941, 1454, 23163, 676, 519, 10971, 8744, 13884, 543, 1434, 19539, 269, 32090, 9082, 1572, 971, 30823, 839, 7439, 985, 269, 7439, 985, 22234, 2027, 7060, 269, 1358, 941, 2111, 547, 6494, 12008, 3781, 2742, 637, 2390, 519, 3207, 619, 267, 543, 1657, 782, 267, 789, 2813, 9589, 2196, 525, 269, 13088, 865, 1898, 538, 25655, 9059, 269, 6270, 513, 7385, 1223, 711, 1152, 3142, 519, 3870, 540, 519, 1434, 10971, 547, 519, 1920, 267, 855, 849, 2813, 10477, 17234, 267, 20206, 6819, 9059, 538, 873, 269, 13689, 593, 519, 18707, 1031, 267, 519, 5958, 9715, 1585, 3601, 269, 1133, 639, 783, 12308, 338, 6039, 1256, 1354, 519, 4332, 540, 18939, 269, 21250, 656, 2021, 267, 609, 519, 948, 540, 519, 715, 1941, 267, 16668, 9589, 4191, 593, 519, 1570, 609, 741, 1973, 267, 1287, 519, 5958, 729, 14616, 267, 519, 607, 1127, 941, 6404, 609, 741, 5172, 4235, 543, 26583, 269, 769, 713, 1259, 267, 8825, 9059, 1223, 3914, 519, 10867, 547, 2327, 922, 2922, 8574, 883, 519, 1158, 563, 763, 31557, 941, 1634, 585, 741, 4262, 16831, 1137, 267, 8720, 5318, 9883, 593, 1930, 1216, 269, 2755, 10707, 971, 5318, 9883, 267, 789, 941, 5631, 11461, 676, 7943, 267, 519, 4287, 540, 519, 2842, 267, 519, 6329, 543, 519, 1350, 732, 540, 519, 6801, 269, 4014, 789, 941, 1360, 5827, 25501, 267, 741, 16831, 1137, 543, 30295, 941, 2417, 554, 2086, 1229, 676, 10053, 535, 9233, 610, 1360, 1419, 31063, 22839, 269, 7201, 971, 4365, 2175, 267, 11287, 519, 6607, 729, 12303, 7543, 269, 634, 12357, 3141, 7723, 540, 519, 3504, 31557, 6039, 607, 513, 4044, 1049, 6293, 269, 634, 7777, 568, 513, 3099, 540, 12001, 18287, 924, 267, 799, 666, 8237, 513, 1769, 18422, 269, 634, 3601, 540, 713, 6149, 2014, 519, 12627, 547, 1831, 4158, 610, 1769, 267, 4470, 593, 519, 26445, 540, 519, 1769, 602, 8813, 593, 621, 269, 25655, 25501, 1131, 1305, 18287, 924, 10007, 267, 609, 2312, 22839, 267, 547, 6952, 519, 7158, 540, 519, 3141, 607, 519, 12627, 6505, 2989, 269, 2311, 519, 4090, 519, 3141, 779, 12345, 535, 12184, 267, 789, 1131, 10956, 713, 2962, 267, 5275, 519, 1318, 4287, 689, 519, 18287, 924, 779, 10881, 563, 26123, 2564, 2853, 454, 763, 15831, 945, 729, 3743, 585, 7067, 543, 27955, 538, 3504, 22778, 807, 729, 661, 597, 269, 634, 31557, 2808, 1200, 835, 540, 519, 1655, 543, 1034, 4810, 12115, 619, 269, 2701, 6026, 543, 3838, 1200, 1702, 609, 2021, 945, 24714, 547, 948, 1200, 269, 634, 15831, 23163, 9543, 2409, 540, 7067, 269, 4438, 10108, 267, 1352, 11311, 12906, 7752, 2805, 267, 3905, 6149, 2527, 1137, 543, 8768, 3282, 5574, 269, 1280, 1200, 11955, 267, 1352, 1031, 9589, 11922, 689, 1114, 2694, 540, 519, 1158, 269, 634, 8912, 15324, 5574, 15538, 540, 12738, 269, 30785, 12596, 941, 4294, 610, 519, 1560, 729, 20109, 609, 993, 2544, 1206, 269, 21058, 13500, 941, 849, 3743, 585, 26349, 16398, 267, 2377, 531, 2719, 15319, 4703, 267, 6512, 1645, 267, 4259, 7633, 543, 12419, 9002, 269, 0, 763, 3778, 540, 24789, 13221, 538, 19109, 9369, 454, 313, 523, 13221, 568, 513, 1153, 540, 13221, 602, 11363, 9066, 543, 1463, 1995, 540, 21481, 269, 898, 12090, 538, 3624, 543, 729, 2663, 5189, 547, 3567, 538, 519, 476, 1321, 628, 2540, 269, 19109, 9369, 267, 519, 3504, 3854, 540, 3567, 267, 814, 513, 3638, 1686, 5702, 23091, 609, 24789, 13221, 269, 3509, 4583, 24789, 17633, 616, 4092, 538, 19109, 9369, 267, 1818, 621, 606, 4998, 10278, 585, 1346, 5461, 538, 3695, 713, 5289, 2245, 563, 3080, 540, 519, 1034, 9565, 5515, 538, 519, 1646, 540, 24789, 13221, 538, 19109, 9369, 729, 519, 31494, 661, 529, 2967, 269, 1261, 5189, 519, 681, 514, 345, 2967, 3392, 540, 24789, 13221, 547, 3567, 543, 8547, 26366, 514, 268, 10202, 267, 519, 9510, 24789, 11454, 538, 19109, 9369, 269, 634, 11454, 5170, 547, 581, 513, 4105, 4099, 540, 24789, 2259, 543, 568, 1930, 547, 8436, 945, 6999, 547, 1995, 24789, 9066, 543, 1451, 689, 4810, 3610, 563, 763, 14362, 540, 24789, 13221, 454, 313, 523, 13221, 6212, 593, 1463, 1995, 543, 20932, 2864, 982, 13461, 9003, 593, 7214, 1620, 269, 898, 7512, 2043, 547, 3605, 741, 3020, 2470, 998, 9066, 543, 11009, 269, 634, 10700, 3804, 540, 24789, 2259, 568, 547, 3035, 21481, 610, 521, 1807, 328, 267, 799, 568, 513, 1533, 540, 7096, 9355, 543, 1620, 563, 1103, 24789, 13221, 267, 9066, 568, 3844, 269, 31943, 619, 4497, 538, 1990, 1794, 523, 267, 513, 1106, 540, 27206, 9066, 1141, 789, 1445, 593, 741, 7362, 543, 7747, 741, 4555, 1510, 10385, 269, 3414, 5812, 2259, 267, 2043, 666, 1020, 513, 2620, 4527, 543, 4656, 602, 11498, 3564, 519, 9066, 31289, 543, 883, 741, 3232, 2729, 267, 7175, 873, 547, 1995, 519, 1158, 2047, 543, 1510, 13613, 563, 5194, 1883, 6240, 540, 24789, 13221, 568, 519, 1523, 540, 7962, 1465, 267, 610, 18665, 269, 2506, 696, 1465, 4016, 547, 519, 2856, 602, 782, 9259, 616, 10562, 543, 21739, 27507, 540, 5094, 267, 7915, 6228, 269, 1635, 9301, 519, 22524, 11163, 543, 6650, 2006, 775, 540, 782, 1919, 267, 24789, 9439, 666, 11349, 513, 2631, 540, 1875, 268, 706, 1275, 543, 19802, 689, 7092, 563, 293, 13904, 24789, 7843, 1255, 538, 19109, 9369, 454, 298, 344, 9369, 568, 1753, 547, 3875, 24789, 17633, 267, 1142, 609, 922, 2189, 1686, 543, 19259, 269, 2290, 540, 519, 1034, 4583, 24789, 17633, 538, 19109, 9369, 568, 667, 7159, 18602, 268, 10202, 269, 5853, 539, 538, 519, 476, 1691, 628, 2540, 267, 667, 7159, 18602, 268, 10202, 568, 513, 30832, 1782, 1950, 540, 17633, 543, 10651, 269, 634, 1950, 568, 513, 22471, 559, 522, 12118, 538, 519, 2295, 540, 19109, 9369, 267, 543, 922, 4224, 10651, 543, 7401, 8075, 616, 513, 15266, 547, 519, 24789, 12716, 563, 5194, 8037, 24789, 11454, 568, 1677, 325, 4157, 340, 268, 10202, 267, 1634, 585, 922, 11599, 17578, 9790, 5652, 334, 15167, 543, 4190, 15489, 16714, 269, 1677, 325, 4157, 340, 268, 10202, 3091, 24789, 9066, 7886, 585, 8436, 267, 3246, 606, 4316, 547, 1995, 519, 7096, 1869, 1145, 543, 22471, 1006, 602, 24789, 2259, 666, 3142, 563, 2690, 1346, 5461, 538, 24789, 30951, 267, 1744, 712, 514, 268, 10202, 13527, 3091, 11925, 1141, 8436, 666, 1451, 519, 1148, 540, 11453, 1740, 543, 2769, 741, 6418, 4555, 543, 4664, 998, 519, 2854, 2262, 563, 763, 11957, 540, 24789, 13221, 538, 7073, 5020, 454, 1103, 2221, 779, 3728, 19550, 543, 10562, 1158, 267, 24789, 13221, 3091, 513, 3407, 1884, 573, 1774, 547, 2566, 543, 771, 28947, 269, 634, 2259, 540, 9066, 543, 11009, 666, 948, 2043, 11349, 513, 2631, 540, 9350, 543, 9355, 9624, 519, 14784, 540, 4948, 1272, 269, 1635, 23646, 1524, 543, 1373, 4628, 1459, 267, 2043, 666, 1020, 513, 4514, 4656, 540, 2933, 543, 741, 10450, 563, 11101, 267, 519, 3741, 540, 24789, 13221, 267, 971, 607, 8296, 267, 1875, 31281, 16670, 267, 543, 10343, 267, 666, 3391, 2043, 538, 741, 3347, 609, 1866, 543, 609, 519, 1158, 693, 1804, 269, 24789, 11414, 721, 547, 9784, 6650, 2006, 775, 543, 547, 5660, 519, 5898, 538, 1142, 4090, 267, 5807, 14696, 543, 513, 2631, 540, 25872, 563, 16987, 1329, 1424, 24789, 13221, 538, 19109, 9369, 454, 2690, 1346, 5461, 538, 3695, 24789, 13221, 538, 19109, 9369, 267, 972, 616, 1896, 2081, 547, 23365, 13951, 538, 713, 3504, 5289, 2245, 269, 3509, 24789, 17633, 2709, 9066, 7886, 543, 11925, 585, 8436, 267, 3246, 606, 4316, 547, 1451, 689, 4810, 3610, 543, 9439, 269, 1452, 7886, 3335, 1331, 6044, 593, 14302, 267, 7244, 2553, 267, 543, 5583, 593, 519, 2259, 540, 11009, 563, 12234, 267, 19109, 9369, 3091, 1585, 24789, 18956, 338, 1141, 2043, 666, 6108, 513, 1906, 2395, 610, 4374, 2502, 538, 14021, 24789, 2259, 269, 1452, 18956, 338, 1419, 1331, 5712, 540, 14980, 9066, 267, 18497, 960, 267, 543, 20144, 12609, 12909, 676, 17055, 3610, 269, 1358, 1683, 513, 2189, 4316, 547, 15052, 835, 779, 1620, 540, 24789, 13221, 543, 547, 1995, 519, 13710, 1379, 540, 9066, 563, 14454, 267, 19109 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 5149, 476, 277, 281, 8865, 5525, 538, 5303, 543, 7177, 281, 589, 12213, 667, 633, 883, 14502, 5675, 692, 7072, 912, 20007, 673, 2792, 4249, 513, 4105, 1909, 538, 2221, 781, 3728, 19550, 1158, 540, 2029, 543, 4702, 269, 898, 5713, 607, 513, 8115, 1063, 1950, 6639, 10124, 543, 3755, 5275, 2312, 3137, 269, 901, 1770, 6212, 4481, 593, 2013, 2090, 1369, 519, 7706, 540, 2930, 1603, 267, 3850, 721, 547, 2263, 4052, 3156, 540, 891, 1983, 1247, 18167, 4514, 883, 519, 14960, 540, 14379, 2930, 1344, 3927, 780, 4089, 476, 272, 281, 4197, 8865, 5525, 692, 288, 2013, 1353, 568, 606, 10763, 6514, 540, 513, 1268, 267, 1895, 267, 2680, 267, 610, 3510, 269, 769, 938, 2796, 267, 621, 4016, 547, 3695, 1808, 8320, 1141, 2029, 814, 1044, 8045, 6707, 630, 528, 5667, 15471, 2685, 264, 543, 26819, 532, 519, 2188, 7700, 547, 922, 1764, 269, 1879, 4294, 547, 2930, 1603, 267, 2013, 2090, 1683, 6405, 2963, 540, 2500, 2792, 2994, 543, 4093, 780, 4089, 476, 273, 281, 634, 11957, 540, 7464, 21509, 6201, 538, 14502, 5675, 692, 18600, 8996, 1806, 948, 1118, 7493, 2035, 15889, 543, 11541, 269, 1635, 6220, 4143, 2665, 883, 707, 2930, 6054, 267, 596, 5512, 3988, 547, 9787, 2352, 2093, 811, 3362, 269, 5015, 267, 11744, 15334, 538, 7311, 7811, 1702, 547, 1483, 7653, 8591, 17258, 547, 707, 6791, 780, 4089, 476, 274, 281, 17291, 2672, 3386, 27418, 585, 5811, 692, 24400, 3617, 2665, 3340, 6297, 7156, 269, 3399, 676, 6998, 2055, 899, 281, 6496, 713, 1383, 9414, 1883, 3741, 1134, 286, 1772, 621, 11347, 540, 1455, 2591, 5185, 538, 1250, 2361, 286, 4024, 621, 13469, 609, 1250, 5497, 5304, 286, 5457, 267, 3309, 1806, 7794, 1565, 2833, 267, 865, 2015, 15386, 1312, 2318, 543, 2942, 4093, 780, 4089, 476, 275, 281, 13419, 1005, 2659, 8865, 5530, 692, 12024, 1022, 824, 4062, 540, 2930, 1603, 267, 2497, 6927, 269, 10670, 609, 513, 5618, 4367, 24152, 519, 3483, 543, 10083, 540, 519, 1353, 269, 7427, 713, 609, 513, 6609, 540, 519, 2796, 267, 1519, 3877, 827, 519, 1587, 267, 3028, 267, 610, 1062, 3238, 269, 8921, 267, 5659, 519, 1184, 6964, 267, 10223, 2565, 3664, 1500, 2059, 519, 1259, 269, 1230, 2850, 609, 18759, 593, 4245, 4121, 543, 1761, 2127, 585, 6454, 780, 4089, 476, 276, 281, 22718, 9442, 11150, 13242, 692, 2691, 10442, 513, 2013, 1353, 267, 2628, 1880, 3007, 547, 519, 2792, 2409, 1031, 269, 1215, 941, 1950, 2035, 6045, 286, 21518, 3308, 11226, 8246, 3927, 286, 12984, 519, 3159, 5812, 2429, 286, 14484, 532, 593, 891, 3344, 666, 2709, 3407, 4030, 883, 1655, 2853, 585, 2104, 4704, 780, 4089, 476, 277, 281, 7351, 12367, 543, 10241, 538, 15306, 5675, 8865, 5525, 692, 2026, 6080, 11457, 267, 865, 798, 519, 7569, 5116, 2390, 2930, 5830, 269, 13773, 8242, 609, 2872, 7835, 543, 6451, 6932, 4798, 883, 707, 3450, 269, 1280, 3236, 267, 3584, 971, 607, 3593, 1995, 1374, 267, 26227, 16097, 267, 543, 5841, 4987, 616, 5051, 1271, 538, 4207, 2930, 10618, 780, 1103, 3932, 267, 10128, 2013, 2090, 883, 707, 2930, 1603, 6437, 2488, 3255, 585, 2502, 6267, 609, 4052, 3156, 540, 3069, 269, 3414, 9836, 2079, 540, 3811, 630, 663, 1447, 982, 3811, 264, 1806, 267, 1053, 2744, 1898, 1983, 2556, 547, 14133, 538, 519, 2479, 19145, 5251, 540, 2029, 543, 4702, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2252, 596, 616, 593, 519, 1413, 719, 585, 930, 1390, 2930, 1603, 6030, 538, 10854, 531, 648, 267, 596, 723, 15354, 593, 519, 1318, 2985, 269, 3689, 1919, 1101, 256, 1548, 568, 2930, 1603, 267, 543, 1946, 568, 621, 11543, 2956, 538, 519, 1459, 1554, 543, 2085, 286, 14502, 1603, 568, 10063, 1424, 3157, 543, 32262, 538, 513, 16866, 6073, 971, 602, 4896, 945, 14509, 621, 17358, 5103, 621, 1373, 2029, 5829, 269, 2859, 3274, 2322, 267, 621, 568, 519, 8840, 1524, 540, 7294, 10509, 3822, 883, 513, 5467, 268, 16187, 762, 1893, 269, 1403, 713, 568, 707, 7484, 540, 7401, 267, 1491, 621, 547, 519, 3318, 1377, 676, 679, 13764, 538, 2930, 1603, 6030, 538, 10854, 531, 648, 563, 763, 4473, 538, 2029, 3549, 849, 3947, 4473, 547, 513, 3747, 585, 2930, 5830, 269, 2353, 10509, 3549, 11441, 547, 3132, 606, 4977, 2943, 3551, 7664, 540, 875, 741, 2472, 543, 2533, 7500, 269, 8307, 952, 1004, 1174, 519, 2472, 543, 2533, 543, 741, 28252, 786, 789, 4444, 519, 1482, 267, 543, 1152, 952, 789, 4444, 666, 519, 4213, 8011, 563, 12648, 267, 585, 3236, 267, 707, 11067, 544, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 19111, 5525, 257, 607, 851, 540, 834, 31900, 1299, 22957, 1315, 14502, 5675, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 5149, 476, 277, 281, 1234, 9690, 26579, 13809, 630, 305, 12195, 264, 910, 19484, 519, 16508, 543, 6481, 13216, 885, 692, 7072, 912, 13434, 584, 1370, 6379, 2530, 630, 305, 12195, 1070, 849, 1634, 607, 20443, 31761, 267, 5540, 5111, 476, 272, 268, 273, 260, 540, 15185, 3843, 547, 32230, 630, 4537, 1695, 710, 267, 476, 1001, 279, 1040, 901, 25031, 4641, 6770, 827, 3929, 24187, 543, 1950, 2564, 2055, 4478, 681, 12195, 781, 3123, 543, 5574, 269, 1306, 2104, 3782, 4648, 267, 11543, 5813, 883, 713, 4101, 2783, 786, 5512, 721, 547, 1683, 28450, 1416, 1247, 9363, 5483, 540, 6932, 1382, 543, 7459, 780, 4089, 476, 272, 281, 4197, 681, 12195, 910, 20223, 6206, 16301, 543, 2776, 28700, 692, 305, 12195, 4016, 547, 1079, 610, 811, 15654, 6379, 9271, 1354, 476, 736, 4374, 32460, 269, 898, 666, 2049, 1813, 547, 4719, 267, 17441, 267, 6375, 11043, 267, 543, 2825, 2188, 267, 1851, 1866, 630, 20797, 9730, 540, 519, 1977, 5980, 585, 3115, 8793, 6925, 267, 476, 1001, 280, 1040, 634, 5626, 1764, 540, 7680, 2789, 26674, 17699, 11562, 1218, 3007, 7258, 922, 4791, 3344, 780, 4089, 476, 273, 281, 16723, 12186, 540, 681, 12195, 910, 589, 1849, 29141, 6733, 693, 717, 4361, 543, 10515, 532, 11150, 692, 294, 4471, 1324, 1739, 513, 31761, 1419, 3322, 5933, 971, 607, 24677, 267, 10845, 267, 29541, 267, 4965, 267, 543, 10343, 630, 298, 6686, 321, 2401, 7304, 1601, 267, 476, 3422, 280, 1040, 1717, 267, 10188, 16236, 1310, 20422, 9271, 949, 4125, 2189, 2591, 8506, 3358, 12003, 2994, 269, 18964, 2550, 547, 3343, 3318, 13508, 267, 6443, 1489, 2516, 267, 4497, 538, 11009, 2853, 267, 543, 2263, 22192, 1603, 616, 930, 2081, 789, 1522, 1184, 741, 4664, 3927, 630, 290, 965, 4802, 1696, 620, 1421, 476, 1001, 275, 6393, 4089, 476, 274, 281, 10289, 7351, 3194, 543, 9615, 18169, 585, 681, 12195, 692, 4407, 972, 568, 5571, 7521, 3823, 6099, 4152, 10873, 543, 2126, 6620, 585, 681, 12195, 267, 1896, 9621, 18817, 2291, 269, 1452, 1331, 28720, 1970, 1673, 846, 29469, 543, 1322, 6856, 821, 21455, 1282, 2038, 6379, 267, 10442, 1761, 24405, 17232, 5362, 630, 29188, 32378, 4713, 1070, 14236, 4761, 1062, 12150, 885, 899, 1884, 13023, 6664, 30649, 573, 6794, 267, 543, 9606, 10095, 2079, 540, 1312, 4891, 630, 20797, 9730, 540, 519, 1977, 5980, 585, 3115, 8793, 6925, 267, 476, 1001, 280, 6393, 19111, 5530, 281, 8861, 781, 9452, 692, 27880, 267, 513, 476, 3374, 4458, 6040, 4807, 267, 814, 4810, 1614, 15654, 26674, 17699, 1369, 519, 2250, 1032, 269, 2701, 7959, 9678, 543, 16397, 676, 1200, 16236, 267, 10010, 547, 10146, 1946, 1352, 3112, 2226, 513, 2635, 6379, 5103, 1373, 6382, 2635, 269, 1635, 3695, 2139, 2200, 543, 5275, 4274, 5796, 267, 8861, 2377, 10225, 593, 513, 2619, 2509, 7067, 543, 4466, 4267, 269, 4173, 1650, 19156, 519, 2956, 540, 3246, 17519, 267, 25191, 1416, 585, 1346, 4299, 676, 681, 12195, 780, 6962, 1384, 32382, 20443, 6379, 2530, 3340, 8417, 267, 9639, 267, 543, 2963, 2861, 2259, 269, 16195, 7426, 1590, 2611, 18164, 827, 6932, 1382, 543, 5499, 4485, 547, 2232, 519, 15491, 2470, 540, 681, 12195, 269, 5015, 267, 14344, 543, 5466, 519, 7096, 3929, 17167, 2404, 609, 7368, 9271, 3788, 2629, 538, 5885, 2550, 2429, 741, 12680, 15322, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 300, 4593, 541, 5846, 30365, 281, 15531, 1290, 3228, 538, 519, 18838, 6478, 454, 16987, 1329, 1424, 513, 31761, 568, 513, 13249, 267, 2295, 2914, 3402, 532, 1995, 282, 952, 596, 4076, 4810, 513, 31761, 610, 1869, 19689, 267, 621, 779, 2693, 596, 3580, 581, 10478, 585, 4313, 267, 1489, 267, 513, 4743, 602, 596, 2461, 711, 4805, 543, 4126, 269, 2755, 1100, 1272, 610, 3460, 1310, 513, 31761, 568, 519, 1482, 267, 1082, 1265, 4313, 543, 4126, 998, 519, 9275, 1913, 540, 1346, 945, 723, 13974, 11124, 513, 2530, 563, 19350, 649, 723, 10356, 513, 1297, 540, 938, 5172, 31761, 10530, 269, 1284, 4126, 891, 31761, 10530, 948, 8956, 707, 2530, 267, 3142, 596, 4708, 267, 543, 948, 596, 5431, 602, 707, 22774, 4816, 568, 1318, 1472, 519, 7944, 269, 3509, 2021, 3442, 547, 2328, 891, 1524, 538, 741, 24990, 267, 1711, 513, 3774, 17549, 585, 741, 6049, 267, 610, 2022, 513, 20202, 4063, 593, 741, 19880, 11604, 609, 741, 5172, 10530, 269, 7316, 591, 596, 1265, 3054, 10478, 585, 513, 3787, 540, 4313, 267, 581, 2386, 547, 4734, 606, 10575, 14823, 5048, 585, 3054, 2336, 300, 4593, 541, 5846, 30365, 1677, 3816, 785, 1411, 2659, 19664, 5455, 26361, 4024, 11408, 2142, 2060, 1411, 454, 2108, 306, 558, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 13434, 584, 1370, 26579, 13809, 630, 305, 12195, 17983, 607, 851, 540, 834, 4047, 22483, 1299, 32362, 1315, 674, 19910, 1299, 5606, 19910, 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 ]

[ 543, 849, 519, 1344, 1062, 602, 5892, 6818, 563, 13295, 519, 7778, 540, 721, 827, 1702, 2359, 269, 9122, 593, 519, 7778, 1657, 267, 649, 666, 2721, 519, 3932, 602, 11310, 5004, 568, 513, 3126, 540, 2645, 267, 2994, 543, 2409, 547, 2226, 267, 5659, 267, 10891, 267, 15814, 543, 849, 2087, 519, 1344, 8659, 538, 513, 2754, 563, 1103, 2489, 267, 519, 3483, 540, 11310, 5004, 568, 547, 2087, 519, 4398, 540, 519, 2754, 543, 849, 4558, 519, 1702, 8659, 1369, 519, 2754, 3294, 563, 15447, 1578, 5004, 538, 519, 2754, 1281, 711, 9101, 689, 26084, 2883, 5359, 543, 782, 1239, 538, 621, 1590, 581, 12261, 609, 1893, 602, 568, 2653, 547, 1174, 676, 1866, 563, 1103, 1931, 585, 707, 1870, 547, 1332, 543, 2333, 519, 1297, 540, 5561, 596, 1810, 1406, 7340, 547, 14441, 998, 519, 31530, 1375, 344, 589, 1091, 3028, 267, 596, 666, 1376, 676, 10229, 707, 1587, 267, 865, 602, 2663, 596, 666, 2087, 8436, 538, 707, 2228, 1870, 22045, 269, 674, 4629, 31769, 312, 5084, 306, 568, 606, 2228, 10229, 3028, 602, 666, 948, 596, 1852, 782, 707, 1587, 11044, 269, 29452, 596, 3077, 519, 13389, 3077, 596, 1616, 543, 2285, 596, 1082, 5079, 547, 2344, 707, 1587, 269, 0, 9213, 538, 3778, 1107, 5181, 476, 273, 454, 4002, 5181, 476, 273, 267, 476, 6642, 276, 267, 513, 4254, 540, 3043, 5755, 19379, 16091, 741, 4457, 1071, 22086, 619, 630, 18485, 2516, 941, 6964, 676, 519, 5742, 7414, 15021, 7577, 264, 538, 9412, 25951, 267, 29131, 24540, 267, 936, 513, 15539, 593, 945, 1185, 519, 1318, 547, 960, 538, 513, 3226, 29988, 1858, 540, 519, 9553, 269, 15566, 2542, 563, 4002, 5181, 476, 273, 267, 476, 4350, 276, 267, 6723, 717, 619, 327, 7773, 9896, 1010, 2012, 547, 519, 6192, 19762, 560, 1537, 6060, 540, 519, 22968, 267, 623, 3073, 344, 543, 645, 612, 269, 15566, 2542, 563, 12812, 1934, 547, 3406, 4653, 538, 3778, 585, 824, 8978, 8090, 269, 0, 296, 991, 1489, 609, 713, 7489, 5525, 2243, 865, 594, 666, 1451, 1732, 269, 3503, 513, 2689, 540, 519, 2542, 29849, 543, 16441, 18738, 31072, 25590, 520, 1144, 21976, 281, 476, 7742, 266, 1923, 1547, 25269, 3758, 2969, 307, 21815, 300, 19006, 332, 2117, 639, 318, 663, 6831, 1156, 318, 1231, 728, 318, 719, 2515, 15220, 514, 520, 1144, 15005, 454, 9288, 5501, 519, 4287, 540, 1689, 538, 835, 4756, 607, 519, 824, 4756, 4679, 610, 11081, 563, 7628, 713, 1576, 649, 723, 5059, 593, 519, 2078, 540, 835, 4756, 609, 1776, 269, 8921, 3018, 267, 649, 786, 2268, 519, 4287, 540, 1689, 538, 835, 4756, 607, 519, 824, 4756, 4679, 610, 11081, 269, 1280, 7151, 281, 1284, 1522, 1179, 3634, 602, 519, 946, 540, 1072, 2533, 4679, 607, 519, 10368, 2783, 3587, 811, 1950, 610, 4049, 269, 769, 713, 3510, 267, 519, 1445, 568, 593, 519, 7681, 540, 1072, 2533, 8957, 10368, 2783, 563, 2791, 616, 547, 1459, 606, 1383, 540, 3347, 538, 8579, 1239, 9382, 269, 901, 568, 606, 1898, 2259, 538, 1082, 3029, 540, 2359, 269, 3973, 4431, 547, 476, 273, 15032, 685, 1806, 16208, 741, 2078, 1063, 1079, 4632, 538, 707, 1378, 1272, 563, 7078, 281, 5403, 1107, 14597, 602, 606, 23070, 540, 513, 1279, 3856, 1416, 9744, 568, 5461, 538, 519, 7681, 1063, 2698, 3790, 543, 519, 4320, 540, 1416, 267, 6027, 676, 519, 1297, 540, 5127, 2395, 540, 3028, 3177, 1282, 1142, 3923, 540, 519, 2250, 1032, 8796, 269, 596, 1287, 4431, 602, 596, 666, 1294, 875, 950, 513, 13113, 4199, 568, 1031, 267, 17756, 723, 547, 581, 1500, 538, 707, 960, 543, 1287, 2285, 606, 1383, 269, 0, 5353, 320, 594, 341, 800, 568, 519, 1152, 7499, 4739, 1303, 516, 21215, 538, 519, 1158, 547, 1711, 9925, 1564, 689, 4262, 32334, 563, 1805, 25973, 517, 32334, 2501, 689, 519, 973, 10967, 566, 540, 519, 3109, 588, 25973, 517, 10253, 602, 6004, 269, 7354, 2946, 5632, 4991, 689, 519, 29940, 540, 519, 5045, 5032, 540, 519, 853, 6441, 320, 675, 660, 5757, 267, 3148, 540, 8053, 332, 1725, 344, 267, 538, 519, 11662, 540, 20563, 267, 4516, 269, 1358, 6133, 519, 17145, 540, 519, 3165, 593, 519, 2199, 2344, 269, 901, 32334, 814, 519, 1482, 26543, 2497, 607, 9267, 6350, 610, 17707, 512, 23677, 630, 290, 1068, 1881, 676, 20563, 700, 10052, 2160, 1916, 303, 566, 2299, 23816, 540, 519, 4262, 543, 922, 29667, 344, 267, 646, 4362, 513, 1259, 547, 22120, 519, 4336, 540, 519, 588, 25973, 517, 3165, 563, 763, 588, 25973, 517, 568, 513, 22300, 3165, 540, 476, 7742, 2929, 1296, 2025, 267, 4171, 14931, 10068, 568, 4847, 1152, 538, 713, 1880, 1858, 540, 519, 12142, 19846, 660, 5757, 630, 2568, 260, 540, 519, 1158, 10068, 1040, 1703, 616, 476, 1911, 10253, 593, 513, 588, 25973, 517, 269, 769, 1249, 267, 519, 588, 25973, 517, 10253, 616, 1572, 16938, 546, 1069, 531, 10824, 14872, 543, 1106, 593, 519, 3165, 513, 4027, 1996, 11975, 267, 799, 15868, 519, 6668, 540, 519, 3165, 1510, 1022, 1689, 593, 1010, 1610, 542, 3912, 563, 1805, 25973, 517, 32334, 9380, 528, 585, 476, 1789, 1296, 267, 1656, 28584, 7354, 2946, 5632, 267, 8385, 689, 27292, 267, 814, 1020, 6244, 713, 2027, 4480, 1247, 2713, 769, 717, 5684, 525, 773, 563, 763, 7376, 814, 519, 10516, 547, 2981, 713, 8821, 601, 2339, 540, 519, 4262, 269, 1323, 5667, 639, 4624, 14951, 282, 513, 2189, 13049, 563, 300, 1897, 540, 1230, 572, 559, 964, 544, 18863, 4536, 546, 262, 11301, 5918, 2372, 2946, 13069, 0, 290, 27641, 29986, 6096, 31098, 454, 11767, 519, 1913, 596, 1616, 547, 2259, 609, 538, 519, 1804, 1257, 4216, 2630, 267, 835, 593, 1142, 1899, 269, 10251, 267, 649, 1810, 1406, 723, 519, 2029, 547, 1039, 25777, 23935, 547, 18638, 610, 11097, 12033, 267, 1519, 519, 13002, 6656, 17082, 563, 5445, 1223, 1404, 3756, 538, 519, 21543, 899, 2338, 6474, 3756, 543, 9904, 13410, 543, 25777, 1603, 4976, 11718, 4732, 1276, 7899, 540, 1187, 789, 666, 723, 543, 2995, 835, 824, 3214, 563, 290, 27641, 13002, 3211, 11718, 269, 476, 7367, 32263, 1362, 476, 272, 13004, 4976, 8666, 2093, 269, 15026, 25777, 13002, 4976, 11718, 666, 581, 1031, 676, 4896, 693, 707, 1753, 585, 4051, 532, 543, 1620, 6662, 269, 901, 4976, 568, 1869, 896, 1646, 563, 293, 2632, 666, 581, 10250, 762, 15956, 610, 17860, 7291, 13944, 269, 634, 2629, 3804, 540, 891, 3211, 568, 547, 2709, 513, 4543, 1688, 547, 519, 27466, 525, 543, 547, 2087, 741, 27466, 324, 779, 2773, 269, 634, 25777, 13002, 2511, 568, 6198, 543, 5497, 547, 581, 1031, 585, 4948, 1603, 563, 11243, 16439, 4976, 20536, 3211, 585, 476, 272, 560, 3446, 1514, 588, 340, 521, 269, 28064, 649, 1683, 519, 5767, 9904, 3211, 1934, 971, 607, 562, 15625, 13002, 3211, 7792, 269, 5192, 1863, 9904, 3211, 689, 513, 547, 1990, 1934, 2336, 2791, 666, 1711, 10145, 2259, 3515, 609, 10145, 3515, 538, 519, 1257, 4216, 4700, 3776, 4359, 13002, 4976, 1907, 267, 4352, 9875, 547, 946, 267, 2636, 596, 547, 1711, 1022, 13002, 4976, 596, 666, 4952, 269, 2859, 25777, 1603, 3211, 476, 278, 18502, 563, 19530, 762, 25777, 13002, 25777, 4945, 1934, 547, 4647, 707, 1923, 7792, 25777, 13002, 4976, 11718, 267, 2707, 3239, 281, 11588, 540, 13002, 2259, 1331, 2799, 2634, 11852, 543, 4824, 2773, 2066, 782, 4081, 5396, 269, 14825, 5597, 1118, 10875, 13002, 3211, 9494, 596, 3108, 540, 942, 2336, 1607, 11718, 13071, 596, 1711, 13002, 2259, 9212, 609, 519, 1257, 596, 1683, 269, 1411, 666, 1287, 1820, 707, 4976, 585, 269, 6657, 1603, 1913, 538, 25777, 676, 16439, 563, 13911, 543, 4585, 12297, 10250, 5022, 4012, 1227, 2408, 593, 707, 13002, 4976, 269, 595, 27641, 13002, 11718, 16776, 2433, 901, 568, 835, 7662, 649, 4309, 3592, 12353, 2336, 290, 27641, 543, 1820, 13002, 585, 3214, 269, 8437, 593, 519, 1820, 1863, 13002, 4976, 7735, 269, 16707, 949, 581, 8678, 610, 796, 14765, 1441, 563, 1607, 2985, 2636, 596, 547, 1711, 513, 4976, 540, 1257, 585, 25777, 1603, 2259, 269, 589, 14634, 538, 25777, 1603, 4976, 2029, 596, 666, 1631, 1118, 3501, 25777, 1603, 3211, 593, 707, 2780, 538, 7643, 256, 9373, 519, 1257, 596, 1616, 547, 581, 593, 519, 2985, 538, 519, 1804, 4216, 2630, 267, 543, 621, 786, 581, 21235, 1210, 2757, 25777, 4484, 532, 563, 290, 27641, 13002, 27412, 476, 7906, 25777, 13002, 11718, 4605, 2093, 476, 7918, 12377, 13002, 8666, 4943, 725, 269, 6258, 13002, 543, 4050, 26206, 609, 938, 25777, 1603, 3211, 269, 4746, 1689, 4484, 2450, 267, 4484, 2681, 267, 1899, 2681, 543, 1256, 2681, 540, 4287, 21985, 563, 4322, 960, 9248, 616, 4998, 585, 519, 1079, 3214, 543, 6738, 5725, 547, 8415, 269, 13317, 1436, 3652, 543, 3854, 1436, 3211, 814, 513, 1592, 609, 519, 3652, 540, 3854, 1436, 269, 595, 27641, 13944, 1299, 13002, 1257, 11718, 563, 3080, 1907, 2636, 596, 547, 1711, 13002, 3211, 689, 513, 10959, 267, 607, 3254, 1934, 269, 29986, 2259, 3211, 1500, 676, 596, 256, 3776, 1863, 267, 7792, 13002, 3211, 1683, 2259, 1603, 25777, 5022, 267, 1913, 543, 5220, 563, 2414, 12744, 610, 1820, 513, 13002, 4976, 281, 5192, 1863, 9904, 3211, 689, 513, 547, 1990, 1934, 256, 1358, 666, 1404, 3756, 538, 519, 21543, 899, 2338, 6474, 3756, 543, 9904, 13410, 543, 25777, 1603, 2012, 11718, 4732, 1276, 513, 2603, 540, 1187, 789, 1223, 723, 543, 2671, 609, 835, 824, 3214, 563, 290, 27641, 23935, 17932, 519, 2511, 540, 1480, 4050, 26206, 1141, 519, 5022, 2095, 1927, 269, 1411, 3513, 1265, 1082, 811, 25777, 1603, 3211, 609, 938, 8239, 267, 13002, 267, 543, 9904, 3211, 1934, 1034, 540, 799, 849, 723, 1820, 13002, 3211, 269, 6657, 1603, 1913, 538, 3044, 25777, 269, 0, 8649, 601, 773, 681, 3912, 5130, 476, 2420, 267, 476, 1708, 272, 7801, 3817, 454, 4002, 519, 6587, 9251, 19920, 602, 616, 4843, 547, 971, 2241, 1565, 2268, 602, 2306, 1919, 4241, 543, 12863, 585, 873, 547, 2015, 267, 789, 1332, 1732, 13215, 5759, 543, 5660, 16565, 782, 998, 1272, 269, 634, 5022, 538, 1931, 538, 13085, 543, 9709, 2553, 948, 2285, 1239, 513, 2603, 3432, 1512, 543, 12863, 547, 519, 19920, 543, 7668, 873, 547, 9305, 610, 1451, 1919, 1510, 1022, 1966, 563, 24058, 338, 4217, 873, 609, 8066, 543, 973, 565, 937, 5751, 25009, 269, 898, 10123, 9388, 609, 11913, 3765, 23890, 543, 2417, 3467, 2306, 543, 6585, 741, 5413, 538, 513, 1808, 3635, 269, 898, 568, 5781, 1767, 602, 1004, 267, 3226, 3214, 786, 538, 2489, 11291, 476, 1015, 260, 540, 1018, 789, 5873, 267, 3368, 540, 1018, 789, 1294, 267, 543, 476, 3199, 260, 540, 1018, 789, 1294, 543, 798, 269, 901, 896, 6050, 519, 4644, 540, 3308, 10274, 538, 1565, 543, 6454, 540, 1453, 563, 21953, 267, 519, 5022, 538, 1931, 27864, 3817, 799, 13173, 4566, 543, 2370, 12400, 899, 17175, 27864, 3615, 1118, 621, 2241, 585, 873, 547, 11291, 519, 1913, 269, 2311, 519, 1448, 950, 11313, 295, 585, 623, 3415, 610, 5851, 610, 5600, 685, 568, 4448, 609, 5961, 610, 5373, 540, 519, 4930, 267, 789, 1589, 602, 922, 10578, 543, 993, 6748, 543, 11291, 6385, 269, 13966, 891, 3515, 713, 568, 835, 4105, 5413, 602, 596, 1205, 689, 5022, 538, 1931, 27864, 3817, 563, 5472, 519, 3159, 4882, 753, 27864, 9102, 4484, 1305, 27864, 3817, 666, 581, 8246, 607, 6029, 948, 267, 2866, 1397, 7333, 1676, 267, 1374, 11623, 540, 707, 3214, 267, 1688, 18705, 4484, 1305, 18849, 267, 27864, 1433, 543, 2417, 3467, 1888, 4484, 1305, 27864, 1433, 269, 634, 4484, 5036, 689, 519, 9102, 3817, 666, 581, 30000, 883, 4909, 5546, 849, 547, 1118, 5065, 569, 9112, 13410, 585, 1818, 7634, 540, 4484, 5036, 12517, 4241, 563, 274, 269, 8555, 1407, 7435, 547, 16685, 18509, 1588, 269, 2691, 19920, 616, 5356, 5961, 547, 27864, 267, 789, 6157, 786, 3180, 519, 2250, 601, 543, 1169, 2899, 538, 513, 1247, 786, 2638, 1018, 789, 723, 2944, 607, 971, 2484, 267, 547, 6430, 519, 1739, 3159, 547, 8415, 269, 1452, 5751, 786, 948, 873, 11104, 3585, 538, 741, 9787, 543, 3750, 11558, 269, 1358, 11338, 991, 547, 2327, 602, 519, 18565, 3085, 1406, 979, 2250, 519, 3339, 1899, 543, 616, 2877, 547, 24917, 519, 2250, 1564, 1631, 543, 1586, 563, 26794, 540, 9001, 5022, 538, 1931, 27864, 3817, 2252, 596, 723, 7193, 267, 17002, 543, 1357, 693, 707, 1753, 596, 1810, 1406, 991, 547, 6108, 593, 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 ]

[ 1405, 2141, 3858, 593, 1271, 6927, 269, 6884, 789, 3893, 865, 9575, 909, 538, 7440, 602, 789, 29709, 827, 796, 4328, 2418, 899, 2648, 543, 8296, 2509, 20231, 23671, 267, 1519, 7087, 3283, 780, 4913, 267, 5103, 891, 22195, 267, 3646, 547, 3142, 3309, 4525, 6251, 543, 6536, 5188, 2799, 1282, 713, 1974, 269, 1280, 3236, 267, 5939, 19771, 2968, 28125, 267, 17935, 547, 1265, 3838, 2666, 1851, 10271, 269, 12846, 267, 513, 5963, 8087, 8225, 5939, 9327, 1405, 2097, 883, 1373, 2394, 1454, 2663, 267, 5176, 8938, 1296, 1524, 519, 1899, 780, 4089, 476, 274, 281, 15348, 1299, 5295, 18868, 454, 4263, 713, 1448, 538, 1686, 267, 8567, 4371, 1713, 32022, 936, 2797, 3664, 269, 7971, 5974, 1419, 4857, 607, 10271, 267, 12018, 4031, 543, 4507, 2687, 547, 741, 4978, 269, 19759, 569, 267, 713, 3006, 8507, 538, 15490, 2126, 540, 1346, 3544, 13416, 8567, 267, 3226, 7133, 7087, 24447, 28148, 780, 13914, 540, 621, 899, 4730, 707, 5172, 7328, 609, 2319, 10863, 945, 1589, 789, 917, 1655, 543, 1810, 1405, 6432, 547, 824, 5716, 262, 8369, 269, 898, 7012, 1405, 4010, 4023, 1404, 267, 1318, 286, 6684, 267, 17528, 547, 2015, 7087, 5380, 3366, 547, 21390, 267, 7745, 14767, 267, 543, 2269, 1441, 3347, 1063, 13896, 543, 3689, 8315, 780, 6962, 912, 18698, 4516, 781, 2250, 2337, 721, 1451, 3407, 4245, 827, 13784, 267, 6568, 267, 543, 5698, 269, 1635, 9301, 2250, 9073, 267, 2523, 3823, 7087, 2924, 543, 6041, 267, 649, 666, 11441, 585, 6454, 2221, 269, 5457, 267, 1169, 1650, 814, 2789, 16752, 282, 1577, 781, 1832, 1565, 543, 6947, 547, 1142, 824, 267, 14120, 1312, 938, 10486, 543, 3604, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3528, 6276, 14977, 2401, 21662, 517, 267, 12854, 454, 763, 1296, 476, 6245, 280, 268, 5002, 273, 616, 606, 538, 1532, 15277, 942, 538, 8225, 3909, 1686, 4502, 6236, 269, 901, 729, 513, 942, 540, 4182, 2679, 896, 519, 1395, 32304, 540, 4516, 607, 513, 968, 291, 7631, 542, 892, 2443, 513, 3483, 2685, 13400, 2165, 5189, 676, 15182, 731, 570, 559, 2917, 538, 476, 5908, 277, 1310, 1010, 2542, 540, 25360, 332, 476, 7761, 269, 634, 2856, 4516, 1058, 581, 513, 2696, 3620, 517, 28666, 18067, 542, 689, 4262, 547, 4262, 896, 326, 2273, 539, 1034, 27685, 673, 1514, 15024, 543, 3084, 3853, 693, 713, 942, 269, 7388, 1540, 936, 513, 8717, 4505, 267, 519, 16456, 19443, 538, 4182, 20671, 17050, 676, 796, 1746, 543, 3395, 3875, 27685, 673, 3444, 28029, 787, 1295, 31559, 269, 1717, 267, 891, 1753, 13485, 941, 849, 12735, 4240, 676, 6237, 3359, 267, 1135, 640, 2152, 267, 543, 24396, 3604, 799, 21616, 3084, 543, 12030, 1049, 22122, 269, 769, 519, 12687, 540, 32700, 267, 5939, 2679, 543, 3235, 18210, 673, 7391, 941, 593, 519, 4473, 267, 855, 713, 729, 1869, 1079, 5756, 1354, 519, 5250, 540, 519, 2136, 5783, 540, 4516, 269, 901, 729, 513, 942, 540, 17557, 27166, 538, 6214, 267, 2943, 6970, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 29378, 24447, 262, 3778, 257, 607, 851, 540, 834, 19615, 1315, 4516, 1315, 2776, 268, 18183, 539, 3130, 630, 1729, 476, 5908, 278, 29215, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]

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

[ 0, 23114, 8804, 568, 835, 540, 519, 1034, 1271, 1983, 538, 1272, 269, 15080, 538, 713, 7121, 2263, 1585, 2081, 547, 4688, 2724, 267, 6578, 585, 9276, 267, 543, 5965, 585, 513, 20019, 5150, 2104, 269, 6787, 596, 616, 513, 2875, 610, 606, 2937, 267, 2123, 8804, 568, 10858, 547, 3025, 269, 898, 666, 581, 4101, 547, 6330, 707, 1259, 998, 25937, 9204, 610, 6679, 16468, 6589, 267, 855, 609, 519, 1379, 540, 7623, 1719, 267, 4358, 1762, 666, 948, 596, 547, 5595, 610, 1256, 17784, 707, 2724, 538, 519, 2104, 2336, 28317, 29784, 10710, 568, 513, 29784, 12236, 7536, 2108, 292, 7568, 607, 1454, 607, 596, 666, 267, 4688, 607, 1454, 607, 596, 666, 267, 1902, 607, 1454, 607, 596, 666, 267, 2285, 607, 1454, 607, 596, 666, 3034, 290, 2401, 545, 267, 31188, 1014, 267, 27685, 626, 454, 18439, 12286, 4930, 454, 3528, 2441, 328, 19159, 454, 2108, 26668, 856, 540, 3670, 4892, 1118, 20949, 16306, 543, 476, 736, 260, 945, 723, 8854, 713, 8905, 16153, 547, 7836, 1269, 272, 267, 1822, 610, 811, 593, 513, 627, 574, 1848, 6258, 1007, 4388, 547, 2061, 936, 4944, 2056, 543, 1376, 9494, 563, 1692, 15894, 2052, 18748, 1411, 2991, 5441, 454, 3528, 966, 571, 329, 623, 926, 16223, 454, 25444, 779, 4862, 540, 5491, 269, 1717, 267, 596, 1522, 1616, 547, 2015, 2679, 909, 707, 5491, 6060, 4166, 607, 621, 786, 3310, 707, 25046, 585, 12029, 267, 1719, 3928, 267, 543, 811, 269, 6258, 811, 2221, 563, 1432, 568, 519, 11038, 8892, 540, 7085, 3317, 10118, 888, 3528, 15776, 12340, 21701, 454, 3674, 621, 2731, 519, 13337, 540, 519, 7820, 5481, 950, 621, 2501, 547, 741, 22672, 1652, 7836, 286, 1548, 666, 948, 1628, 2883, 6617, 585, 938, 7820, 5481, 286, 6258, 811, 1934, 269, 0, 1692, 547, 5269, 16907, 1314, 24083, 1023, 454, 4415, 1175, 513, 1906, 2241, 5820, 543, 835, 4739, 344, 4603, 596, 666, 1118, 4190, 8141, 569, 2295, 11057, 610, 23788, 269, 17828, 585, 4406, 550, 1149, 4303, 23598, 269, 4279, 3214, 4739, 269, 28799, 14495, 1216, 543, 18664, 1314, 543, 4585, 621, 16358, 1125, 16074, 563, 3963, 1772, 634, 21708, 9791, 286, 11822, 3163, 630, 21581, 994, 26594, 2257, 4603, 543, 3137, 585, 519, 5929, 2243, 593, 2067, 7613, 4534, 4208, 568, 519, 6607, 4544, 585, 3214, 563, 2791, 10261, 547, 8347, 1452, 7177, 11242, 585, 8866, 454, 25811, 1359, 2238, 585, 3214, 602, 786, 1205, 741, 12058, 543, 4703, 3001, 256, 3400, 321, 513, 1863, 4702, 4161, 7792, 585, 1256, 811, 13241, 1187, 563, 3963, 3657, 6129, 338, 1115, 4414, 21060, 286, 3163, 15331, 1923, 13241, 630, 21581, 994, 10501, 1190, 1946, 519, 6607, 2242, 2681, 693, 23863, 286, 901, 2241, 4603, 9727, 875, 602, 4523, 269, 8073, 707, 1378, 23863, 538, 513, 4837, 2336, 1607, 6656, 3947, 519, 12596, 585, 519, 13937, 16572, 269, 10790, 269, 280, 268, 1321, 13034, 6347, 268, 4338, 305, 5861, 910, 1496, 5141, 13831, 15048, 316, 910, 2422, 9971, 9163, 547, 4194, 2042, 476, 271, 343, 10790, 269, 280, 268, 1321, 13034, 6347, 268, 4338, 305, 269, 275, 910, 28171, 9971, 9163, 543, 946, 873, 547, 4766, 10230, 3347, 563, 6124, 31745, 528, 932, 11301, 454, 1692, 798, 596, 798, 19671, 12125, 286, 6884, 594, 1118, 873, 1354, 1153, 865, 782, 1250, 5049, 1294, 873, 269, 3973, 789, 616, 8799, 543, 16517, 269, 6884, 594, 1376, 689, 15072, 543, 1118, 873, 609, 835, 540, 1250, 5049, 269, 1411, 666, 2995, 950, 594, 1118, 873, 1247, 8288, 909, 1317, 519, 13002, 568, 782, 1793, 5896, 4033, 2053, 594, 1118, 513, 7387, 1354, 1153, 1862, 3267, 810, 1287, 649, 666, 6445, 621, 538, 1927, 538, 1362, 543, 6474, 938, 4967, 269, 1215, 798, 596, 946, 19671, 12125, 538, 519, 4928, 888, 289, 2056, 519, 1769, 910, 6323, 4603, 454, 10674, 2517, 4178, 8807, 714, 1731, 4732, 328, 901, 568, 606, 4277, 4603, 547, 1397, 519, 2698, 4835, 8086, 269, 1284, 1205, 519, 2698, 8086, 952, 519, 1769, 13788, 547, 606, 9804, 682, 2483, 16631, 4427, 12697, 585, 476, 275, 628, 543, 476, 276, 628, 6103, 2443, 634, 3163, 31919, 454, 15919, 596, 1175, 666, 1406, 581, 693, 1153, 269, 769, 707, 9000, 267, 707, 16823, 4116, 543, 1053, 666, 4163, 593, 609, 6209, 1565, 1247, 2679, 28203, 269, 1703, 568, 7899, 547, 798, 609, 891, 4245, 2336, 21430, 11822, 26682, 11822, 256, 2433, 12467, 296, 11613, 700, 10976, 292, 3450, 2257, 256, 898, 781, 519, 835, 1641, 1141, 3214, 666, 2731, 1205, 1318, 538, 972, 543, 1205, 741, 3946, 546, 1862, 0, 15447, 1578, 5029, 23924, 1058, 581, 1031, 547, 1489, 707, 1126, 2429, 519, 1888, 1373, 4988, 269, 1358, 1683, 7389, 267, 1883, 6863, 267, 1883, 5013, 543, 1271, 1344, 602, 786, 581, 4988, 269, 5753, 786, 946, 891, 1312, 538, 1153, 543, 693, 1753, 547, 7110, 741, 1565, 267, 3850, 721, 547, 960, 29050, 1927, 563, 15447, 1578, 5029, 23924, 616, 2966, 547, 948, 609, 938, 1699, 1753, 1565, 24502, 267, 789, 1683, 3606, 1489, 543, 4287, 585, 3885, 15029, 1565, 693, 1753, 269, 1358, 666, 581, 1031, 607, 513, 1448, 540, 4704, 585, 1032, 1895, 1702, 543, 6788, 1369, 519, 2016, 1888, 1858, 563, 8923, 946, 713, 6881, 547, 1489, 707, 1565, 593, 875, 3425, 1332, 454, 5970, 513, 1413, 693, 713, 6881, 547, 1265, 856, 513, 2370, 827, 1018, 4523, 547, 3425, 607, 789, 1332, 909, 269, 1411, 1522, 1256, 1294, 513, 7874, 3068, 2336, 8923, 1265, 713, 4374, 5851, 4804, 13268, 543, 1489, 2326, 2630, 563, 1607, 568, 519, 1565, 3640, 585, 519, 654, 289, 476, 736, 269, 275, 269, 1708, 271, 563, 5970, 513, 979, 693, 607, 1082, 540, 519, 2238, 607, 596, 666, 543, 1287, 1745, 1863, 547, 1577, 721, 917, 875, 596, 723, 3893, 593, 676, 11488, 721, 543, 4757, 609, 5961, 610, 7044, 269, 1284, 786, 2119, 543, 2671, 607, 1082, 540, 891, 607, 2009, 538, 519, 19922, 2336, 300, 1897, 540, 26449, 322, 4925, 11638, 5025, 322, 611, 5519, 11565, 302, 342, 331, 1723, 919, 13878, 0, 295, 677, 22450, 529, 519, 1148, 540, 14237, 2371, 538, 10651, 547, 3132, 1426, 543, 16392, 5820, 267, 610, 585, 4313, 543, 25798, 5301, 269, 29088, 2159, 584, 1235, 616, 698, 3472, 584, 1235, 15367, 1332, 5810, 267, 5613, 543, 10808, 267, 5388, 543, 11922, 267, 607, 1134, 607, 25798, 4054, 543, 1876, 985, 563, 763, 1353, 543, 2259, 540, 24972, 22450, 723, 1044, 14360, 1394, 5215, 540, 1296, 269, 29088, 22450, 8329, 547, 519, 5912, 689, 9930, 19631, 1480, 2950, 547, 25161, 267, 610, 10859, 1606, 539, 23358, 267, 24972, 12734, 2950, 13034, 677, 22450, 568, 5258, 883, 1896, 6688, 799, 1445, 593, 519, 14713, 543, 4393, 540, 1114, 2010, 540, 2371, 543, 1426, 3688, 585, 1808, 5301, 269, 769, 1931, 547, 18359, 519, 2257, 540, 24972, 22450, 267, 2789, 3906, 5001, 13599, 267, 5000, 267, 543, 3895, 519, 13120, 540, 24972, 22450, 269, 2368, 8037, 24972, 2159, 584, 1235, 1331, 12359, 320, 13850, 7236, 267, 13162, 645, 7875, 1678, 267, 543, 25414, 589, 1203, 563, 763, 4639, 11068, 4133, 568, 513, 23195, 10315, 543, 5916, 6392, 1858, 538, 7262, 7266, 1537, 4789, 609, 513, 476, 1001, 279, 6059, 2551, 540, 476, 273, 267, 280, 1626, 267, 3393, 279, 267, 1818, 621, 519, 2034, 1034, 29245, 10315, 538, 4789, 1310, 20523, 5507, 269, 898, 3357, 883, 6228, 607, 513, 23195, 10315, 538, 476, 3192, 275, 1310, 519, 8574, 540, 519, 10871, 6554, 2920, 476, 3192, 273, 267, 4646, 689, 2694, 540, 16065, 867, 28790, 267, 1937, 806, 1562, 10921, 543, 2782, 342, 6506, 10921, 269, 634, 10315, 3294, 568, 513, 715, 308, 4811, 476, 273, 3148, 1369, 519, 9962, 715, 308, 4811, 476, 272, 3148, 540, 519, 1482, 2012, 269, 634, 10315, 5161, 540, 5722, 23195, 18664, 965, 338, 281, 519, 4975, 540, 27257, 267, 519, 4975, 540, 595, 990, 18782, 543, 519, 4975, 540, 26728, 591, 5069, 17980, 267, 607, 1134, 607, 519, 18664, 965, 338, 540, 667, 644, 2917, 267, 9995, 6202, 267, 3752, 8811, 1638, 543, 654, 1023, 718, 269, 0, 298, 879, 320, 685, 328, 5176, 4503, 922, 6477, 1922, 9879, 2872, 267, 543, 4769, 1406, 1256, 917, 621, 563, 2252, 513, 2817, 623, 1251, 1160, 3027, 619, 7027, 6571, 7333, 940, 519, 8023, 540, 1426, 3653, 547, 14918, 1185, 711, 1044, 17204, 4505, 713, 1032, 267, 922, 8574, 1131, 723, 1129, 4705, 606, 1439, 547, 1034, 554, 690, 11396, 593, 918, 879, 320, 685, 328, 267, 2687, 547, 13222, 540, 519, 16127, 12426, 13163, 18966, 543, 16127, 623, 1251, 12752, 5948, 563, 2108, 17764, 267, 1004, 9327, 1406, 7639, 267, 7948, 1406, 1832, 8105, 2223, 952, 519, 6571, 1185, 5293, 267, 1767, 4406, 24809, 918, 6951, 6062, 549, 267, 540, 631, 1299, 670, 918, 6951, 6062, 549, 10787, 916, 267, 5549, 563, 9515, 568, 23122, 540, 519, 16127, 623, 1251, 12752, 5948, 267, 543, 1767, 602, 1082, 540, 519, 4130, 6477, 6705, 593, 918, 879, 320, 685, 328, 630, 1260, 14293, 543, 1875, 10687, 14293, 264, 946, 1152, 1426, 3653, 547, 3049, 741, 14918, 563, 4517, 2094, 519, 1942, 540, 10286, 547, 3049, 14918, 568, 2362, 1934, 982, 593, 744, 685, 24660, 267, 513, 7333, 593, 1210, 1426, 3653, 547, 3049, 14918, 1934, 1131, 723, 5921, 519, 1439, 547, 1082, 6477, 1922, 9879, 4238, 593, 519, 6532, 267, 918, 6951, 6062, 549, 6045, 563, 2304, 343, 1190, 547, 2149, 519, 772, 2529, 269, 13184, 2872, 689, 519, 3463, 540, 1426, 7146, 2173, 1926, 2068, 267, 3084, 20230, 11897, 2722, 13222, 6069, 519, 6571, 693, 513, 3084, 20230, 11897, 2722, 8468, 4505, 713, 1032, 563, 1607, 3357, 593, 519, 31623, 540, 2063, 1032, 779, 3864, 12176, 540, 519, 2068, 267, 799, 8507, 950, 7783, 5779, 29578, 24648, 958, 16865, 689, 3624, 941, 10480, 6151, 547, 2220, 710, 563, 2108, 291, 1047, 848, 666, 581, 3262, 538, 1426, 3653, 2223, 918, 6951, 6062, 549, 1767, 269, 968, 15933, 3653, 2115, 547, 581, 11273, 2223, 543, 519, 1533, 4972, 540, 11982, 779, 8524, 832, 1118, 2386, 1426, 3653, 10480, 547, 14918, 568, 11273, 7157, 267, 1352, 3773, 563, 17780, 593, 1533, 4972, 540, 11982, 9193, 540, 4025, 519, 1426, 2914, 4292, 14791, 1004, 3643, 21237, 267, 972, 616, 1472, 476, 3199, 6477, 6705, 593, 519, 6532, 563, 4263, 519, 3084, 5870, 267, 519, 3646, 540, 27050, 21025, 2465, 7315, 540, 13259, 783, 10394, 670, 690, 12426, 538, 12968, 24499, 685, 320, 593, 519, 8262, 6816, 6591, 1489, 689, 6705, 538, 824, 2829, 547, 14710, 519, 6571, 267, 2687, 547, 513, 22557, 30513, 585, 519, 16127, 12426, 13163, 18966, 563, 18250, 298, 2465, 7315, 779, 21981, 11329, 856, 602, 22608, 2157, 540, 24422, 540, 1426, 3653, 5986, 538, 519, 2136, 2276, 1118, 519, 6571, 11991, 267, 4329, 267, 4628, 3368, 540, 782, 20230, 12696, 538, 11316, 685, 328, 946, 930, 1426, 3653, 538, 741, 8023, 3292, 267, 543, 2015, 621, 513, 3407, 2707, 540, 5567, 585, 741, 2831, 267, 646, 3773, 563, 4002, 744, 685, 24660, 267, 513, 2749, 543, 10315, 3921, 12099, 10238, 1080, 519, 12871, 540, 1426, 3653, 538, 26071, 267, 799, 4229, 20730, 267, 3506, 543, 14060, 547, 22120, 621, 269, 4635, 602, 3653, 547, 3049, 14918, 3927, 2337, 1832, 9748, 540, 3653, 856, 540, 26071, 267, 799, 814, 2825, 2640, 267, 646, 1767, 563, 5475, 1565, 540, 519, 6069, 7333, 267, 21025, 2465, 7315, 21821, 539, 519, 948, 540, 1010, 7385, 267, 667, 7469, 928, 267, 543, 3220, 269, 16199, 2088, 2098, 2297, 7288, 267, 2220, 710, 11285, 609, 519, 5441, 540, 23427, 11982, 543, 5274, 8249, 693, 519, 2160, 540, 16127, 693, 2494, 10394, 563, 313, 2297, 7288, 543, 667, 7469, 928, 21025, 2465, 7315, 10356, 5885, 1239, 16074, 267, 543, 552, 2173, 9229, 621, 547, 27050, 21025, 2465, 7315, 267, 945, 729, 693, 519, 15007, 538, 28631, 267, 543, 1500, 1010, 10388, 4661, 1996, 519, 6571, 563, 4002, 918, 879, 320, 685, 328, 267, 9657, 1426, 3653, 689, 14060, 2337, 519, 14060, 1205, 7759, 540, 1346, 2451, 13569, 267, 543, 2636, 6705, 513, 10464, 2707, 540, 3049, 585, 741, 2831, 563, 2690, 811, 1344, 593, 519, 16127, 623, 1251, 12752, 5948, 267, 5225, 1289, 918, 6951, 6062, 549, 267, 476, 278, 5655, 268, 9873, 279, 563, 1805, 3530, 27752, 6754, 595, 269, 4354, 26385, 666, 581, 6603, 693, 13875, 1729, 281, 16942, 11333, 2593, 610, 476, 25090, 268, 3607, 279, 272, 630, 2169 ]

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

[ 2547, 1079, 834, 754, 257, 5095, 799, 616, 1932, 11397, 569, 1644, 547, 954, 3691, 539, 267, 1498, 609, 519, 1761, 585, 5444, 2095, 1063, 782, 519, 5095, 563, 5445, 9414, 1018, 4523, 936, 942, 607, 5095, 16220, 11651, 613, 267, 4481, 1317, 789, 2099, 267, 538, 2713, 5095, 267, 1018, 7363, 4523, 936, 942, 1063, 1279, 21549, 22660, 5095, 543, 2713, 5095, 267, 538, 799, 519, 10827, 919, 723, 1831, 17255, 563, 32178, 29861, 9469, 3081, 602, 8258, 2249, 834, 732, 1152, 6029, 721, 538, 519, 8901, 10155, 1945, 602, 1590, 2141, 4755, 538, 519, 942, 10155, 2668, 634, 4999, 540, 18626, 20847, 543, 4720, 666, 3006, 581, 1031, 547, 3589, 1018, 786, 581, 1336, 538, 519, 8093, 2594, 269, 3794, 1601, 16239, 529, 568, 606, 17255, 2249, 540, 6079, 535, 1716, 2371, 689, 519, 18983, 1014, 563, 10908, 1601, 16239, 529, 5526, 538, 519, 8093, 2594, 1472, 519, 4098, 540, 519, 18983, 1014, 593, 519, 3504, 11782, 540, 717, 1180, 32272, 269, 10558, 1554, 3794, 1601, 16239, 529, 15455, 616, 1336, 538, 18983, 1014, 31324, 538, 22703, 3162, 3013, 267, 22703, 4000, 267, 782, 540, 28801, 267, 7187, 3127, 267, 782, 540, 5245, 267, 782, 540, 1715, 10215, 267, 543, 16559, 593, 519, 7013, 543, 7187, 8728, 540, 19778, 563, 7628, 519, 18983, 1014, 267, 891, 17407, 941, 4448, 607, 717, 1180, 32272, 1294, 4137, 476, 275, 322, 538, 6876, 609, 6419, 4174, 4771, 267, 824, 8093, 14778, 267, 543, 30961, 29565, 2583, 15738, 2476, 689, 519, 22465, 2916, 540, 519, 3162, 24504, 1282, 519, 18983, 1014, 269, 634, 1686, 540, 1558, 1430, 2103, 519, 804, 1228, 5627, 23047, 1575, 10118, 543, 741, 17255, 267, 18642, 11937, 2488, 606, 1383, 540, 875, 12105, 3069, 543, 519, 3350, 540, 17407, 666, 581, 5916, 547, 1118, 11236, 7282, 8093, 14404, 19973, 543, 3892, 563, 763, 9510, 1558, 1430, 1014, 15455, 616, 1336, 538, 1459, 6377, 3624, 269, 9370, 1575, 10118, 6603, 5245, 3842, 19778, 827, 476, 2004, 1250, 320, 267, 16172, 1310, 5245, 1185, 8237, 1055, 11021, 513, 2582, 24980, 2680, 540, 1175, 835, 2249, 269, 2983, 11043, 2963, 5267, 602, 1063, 476, 1789, 543, 476, 2412, 2929, 1296, 3516, 3162, 3013, 543, 5245, 941, 1869, 851, 540, 519, 8828, 25955, 2706, 11782, 540, 717, 1180, 32272, 543, 602, 789, 941, 4448, 676, 2244, 602, 568, 1631, 851, 540, 19778, 269, 4475, 267, 950, 9256, 519, 3631, 267, 3744, 1223, 3589, 602, 23047, 1575, 10118, 28953, 689, 1018, 568, 1631, 3162, 3013, 267, 998, 19778, 267, 543, 1287, 547, 1459, 6377, 5245, 1063, 476, 2412, 543, 476, 1789, 2929, 1296, 3516, 563, 288, 1101, 23047, 1575, 658, 8093, 540, 519, 17255, 1920, 2717, 11770, 565, 641, 13160, 729, 1336, 593, 1530, 2096, 712, 6816, 593, 519, 21303, 18686, 538, 634, 1686, 540, 519, 4342, 601, 2488, 606, 1383, 540, 875, 8093, 2963, 666, 581, 1031, 547, 18949, 9194, 543, 7766, 4720, 269, 634, 8093, 2594, 6920, 602, 519, 4720, 540, 4342, 601, 1749, 3323, 538, 3345, 3013, 1294, 4137, 476, 275, 324, 2073, 689, 799, 267, 3670, 2929, 1296, 3516, 267, 789, 28953, 2066, 519, 645, 1359, 26463, 883, 5607, 543, 1287, 547, 4000, 267, 543, 476, 274, 563, 5629, 9678, 267, 789, 7960, 2059, 741, 1378, 3515, 267, 4758, 4473, 547, 519, 645, 716, 6929, 4342, 601, 543, 546, 668, 539, 776, 538, 5607, 543, 4000, 543, 519, 561, 4594, 320, 543, 922, 14077, 538, 3162, 3013, 563, 290, 14712, 1749, 1287, 2968, 17255, 538, 3345, 3013, 693, 519, 1439, 540, 519, 2063, 4672, 2085, 269, 6201, 585, 519, 2963, 585, 4720, 1419, 6565, 689, 1463, 8343, 540, 2067, 5542, 538, 519, 2361, 543, 519, 8047, 563, 1607, 3296, 568, 2189, 538, 602, 621, 2488, 513, 7522, 518, 2796, 7282, 519, 1184, 540, 5542, 269, 2353, 540, 519, 1806, 3177, 1991, 547, 713, 723, 4330, 519, 2963, 602, 4720, 814, 7018, 267, 855, 814, 711, 3177, 519, 2101, 5817, 7271, 281, 901, 3296, 12799, 2488, 2963, 602, 2067, 5542, 4386, 267, 814, 1044, 556, 6088, 31567, 267, 543, 666, 581, 556, 6088, 538, 8047, 6901, 563, 14722, 723, 4767, 543, 13006, 513, 21318, 540, 2621, 1141, 2067, 5542, 568, 538, 2962, 269, 634, 1034, 1134, 1634, 1806, 616, 15084, 4187, 538, 519, 2564, 2361, 2059, 609, 1732, 8153, 8047, 6901, 25643, 4720, 781, 12136, 269, 7849, 5542, 568, 21915, 26920, 547, 1455, 16350, 538, 602, 1279, 3856, 12136, 543, 5542, 12503, 666, 1291, 547, 519, 4763, 540, 1272, 593, 3618, 607, 1336, 2221, 563, 5472, 14624, 1765, 323, 29545, 543, 3768, 29545, 2242, 7255, 1765, 732, 3361, 676, 2067, 5542, 543, 513, 1906, 824, 5634, 3157, 269, 898, 568, 1134, 3964, 602, 267, 834, 634, 1806, 2630, 616, 1152, 513, 1507, 6824, 540, 519, 4890, 6901, 543, 7422, 269, 14464, 5542, 9727, 519, 4763, 602, 666, 2291, 1851, 7103, 602, 2671, 513, 5266, 2487, 1455, 22660, 269, 769, 5841, 5542, 267, 835, 2249, 568, 26870, 28729, 693, 1142, 5108, 267, 3850, 1152, 1346, 7103, 602, 8858, 5551, 4162, 547, 16196, 563, 4322, 4162, 1831, 5051, 1134, 2919, 538, 20422, 5481, 269, 14464, 5542, 729, 3811, 1279, 1354, 2257, 4362, 519, 4719, 4493, 269, 6201, 540, 5841, 5542, 1331, 2915, 9960, 2073, 16220, 9168, 1426, 2073, 8768, 9960, 267, 543, 519, 14713, 540, 3536, 971, 607, 3552, 22648, 2073, 476, 543, 1866, 563, 16987, 14939, 4720, 3096, 6417, 6901, 547, 1449, 19165, 543, 6436, 540, 4720, 269, 769, 835, 2038, 1383, 267, 5261, 667, 718, 5424, 1305, 909, 606, 4603, 16172, 1354, 2073, 1641, 532, 17973, 547, 3002, 609, 519, 2832, 540, 16550, 13261, 2242, 269, 3571, 4603, 10443, 585, 1472, 5722, 1296, 267, 543, 1010, 3370, 2164, 941, 28601, 267, 855, 646, 1705, 711, 16056, 519, 4603, 1310, 519, 17102, 8959, 269, 589, 1804, 8397, 1383, 540, 8097, 4720, 568, 9400, 30776, 7288, 1412, 338, 3818, 22831, 4603, 609, 18521, 615, 747, 807, 19546, 563, 299, 839, 7288, 4767, 602, 930, 12490, 540, 661, 269, 2334, 781, 1175, 1018, 5137, 1235, 2161, 666, 1405, 4755, 269, 589, 1353, 540, 2249, 540, 667, 7469, 11844, 543, 1291, 5533, 538, 519, 476, 736, 628, 2540, 10567, 602, 606, 2333, 538, 1291, 5533, 1131, 1291, 547, 2178, 5542, 540, 1291, 10892, 563, 12867, 941, 2111, 547, 946, 834, 637, 18675, 14498, 2580, 554, 10248, 5756, 6040, 667, 7469, 11844, 5798, 689, 519, 942, 950, 12647, 941, 8185, 26130, 609, 1291, 269, 634, 24011, 13530, 538, 519, 1353, 941, 3379, 547, 1699, 6377, 667, 7469, 11844, 2073, 543, 7152, 834, 323, 1090, 1738, 8516, 3604, 1063, 2025, 543, 2413, 4307, 8040, 950, 21947, 609, 513, 7839, 3140, 2825, 2566, 528, 8487, 29973, 569, 267, 519, 2413, 6377, 667, 7469, 11844, 941, 8572, 547, 5706, 610, 20496, 1164, 2157, 540, 1291, 713, 568, 1813, 547, 519, 5458, 5786, 540, 1291, 5533, 538, 476, 2641, 560, 2540, 12647, 269, 634, 2025, 24011, 13530, 267, 2705, 267, 941, 2111, 547, 20496, 1164, 1291, 5533, 269, 634, 4589, 11943, 602, 834, 2421, 14139, 519, 2553, 540, 24446, 14498, 267, 649, 941, 2111, 547, 1397, 2312, 4307, 28437, 1689, 936, 5756, 589, 5929, 1383, 729, 519, 4307, 28437, 1689, 267, 1769, 3562, 1673, 1046, 2681, 9542, 267, 538, 519, 890, 653, 1229, 26615, 2073, 1813, 547, 5533, 689, 519, 11633, 7169, 538, 4789, 563, 763, 1646, 543, 3262, 540, 15084, 910, 637, 9665, 4551, 568, 2963, 585, 519, 1184, 540, 4720, 540, 2249, 269, 4935, 519, 5920, 540, 8709, 1260, 344, 11142, 910, 637, 9665, 853, 20942, 19905, 28857, 2073, 543, 519, 8594, 621, 13514, 547, 6413, 2550, 267, 568, 513, 1463, 1267, 540, 4720, 998, 2067, 5542, 563, 763, 4473, 540, 1744, 580, 7578, 12490, 11259, 547, 519, 10991, 15084, 1362, 540, 9829, 517, 600, 1938, 849, 9727, 519, 5108, 540, 1007, 1344, 607, 606, 12105, 1184, 269, 2353, 5049, 540, 17973, 1020, 4187, 281, 901, 568, 547, 581, 4397, 950, 6236, 602, 782, 1272, 15225, 8471, 4719, 3009, 543, 568, 4061, 1641, 547, 519, 1184, 540, 4720, 998, 922, 1585, 6127, 269, 6271, 1383, 540, 7103, 15268, 547, 1480, 27351, 4310, 2175, 616, 715, 14125, 3887, 908, 4551, 281, 1703, 568, 3621, 13618, 602, 519, 4390, 547, 30075, 562, 14125, 848, 1034, 4440, 2919, 607, 513, 2582, 9912, 15817, 602, 15068, 1317, 621, 4824, 519, 8516, 540, 519, 4551, 28429, 519, 15817, 563, 1607, 568, 2938, 607, 513, 1434, 1383, 540, 4720, 998, 15817, 543, 2067, 5542, 602, 814, 1044, 4767, 607, 621, 4386, 543, 1223, 711, 723, 2097, 827, 2394, 519, 2504, 540, 562, 14125, 676, 3425, 563, 13828, 28849, 631, 574, 15252, 28050, 656, 13519, 639, 5309, 823, 639, 2699, 32704, 1229, 543, 631, 574, 15252, 28050, 656, 13519, 639, 513, 14094, 529, 5835, 32704, 1229, 540, 24564, 25154, 616, 9678, 1813, 547, 519, 7375, 540, 741, 23832, 12704, 543, 17761, 14790, 1054, 25199, 269, 634, 5982, 540, 631, 269, 623, 17222, 21925, 2079, 5267, 1079, 4830, 8129, 540, 2699, 23469, 5810, 602, 21256, 1813, 547, 28250, 910, 2958, 17419, 13592, 538, 519, 5444, 8575, 7069, 321, 273, 602, 568, 1459, 538, 782, 631, 563, 10702, 1382, 6700, 602, 1079, 4830, 13592, 1705, 711, 1491, 1747, 267, 855, 835, 8575, 7069, 321, 273, 27446, 729, 11843, 3842, 703, 5766, 4809, 10316, 1436, 269, 22319, 10072, 543, 28250, 910, 2958, 17419, 3252, 282, 29981, 2079, 282, 13664, 4087, 543, 3542, 13541, 13283, 282, 543, 2249, 10316, 1436, 543, 884, 857, 566, 616, 1175, 930, 540, 519, 2127, 538, 799, 1239, 666, 581, 5833, 547, 3561, 519, 12136, 540, 4720, 563, 12024, 519, 13798, 8127, 267, 1480, 27351, 4310, 5533, 666, 2097, 538, 1114, 3029, 269, 7101, 3999, 13116, 13271, 568, 513, 3501, 1383, 540, 2067, 5542, 2921, 1747, 1310, 513, 3114, 8009, 269, 7101, 3999, 13116, 13271, 5526, 547, 946, 519, 20119, 14264, 514, 547, 6460, 18325, 5982, 883, 3114, 1648, 585, 2208, 567, 543, 941, 1101, 4362, 538, 607, 3109, 28633, 3395, 3330, 543, 1472, 519, 595, 3062, 984, 2643, 17437, 5295, 7233, 269, 2755, 4974, 1368, 653, 625, 7313, 1815, 23158, 1427, 10306, 1092, 538, 2558, 514, 21059, 2073, 29489, 3627, 7736, 2401, 9571, 5542, 693, 960, 593, 519, 3165, 5095, 563, 2414, 4341, 856, 4244, 7399, 267, 7736, 2401, 1305, 909, 513, 3810, 6417, 4603, 547, 17932, 519, 2067, 7226, 676, 14335, 4557, 22253, 1369, 513, 8047, 8511, 693, 23134, 2160, 269, 3962, 11432, 8659, 18574, 547, 4010, 6474, 602, 540, 519, 2067, 22253, 269, 2991, 13830, 513, 4351, 3732, 540, 1368, 653, 625, 689, 22253, 538, 2558, 514, 21059, 2073, 646, 6659, 543, 6404, 873, 547, 1711, 2147, 16220, 3309, 5095, 543, 6027, 1142, 3165, 5544, 3259, 267, 5544, 4463, 267, 5544, 1858, 267, 3448, 5544, 3259, 267, 3448, 5544, 4463, 267, 2698, 15429, 1858, 267, 543, 3044, 1560, 13080, 563, 2690, 519, 4603, 646, 3773, 595, 1066, 545, 747, 5055, 620, 3279, 623, 269, 2991, 476, 1015, 5481, 267, 16198, 941, 1500, 1063, 1142, 11432, 781, 1368, 653, 344, 5095, 543, 7403, 941, 3144, 1586, 563, 17484, 2401, 1336, 602, 519, 5095, 1185, 7960, 13497, 1114, 2681, 3270, 538, 519, 1852, 543, 1875, 1790, 1042, 1807, 20115, 543, 1951, 321, 2681, 3270, 538, 519, 23246, 7535, 563, 303, 1042, 566, 2604, 1185, 3361, 513, 5542, 1996, 7555, 856, 689, 4282, 18574, 269, 769, 6252, 267, 1282, 713, 4603, 267, 7736, 2401, 5342, 513, 2361, 4603, 538, 2558, 514, 21059, 1141, 646, 9575, 1368, 653, 625, 689, 22253, 1141, 789, 1185, 11975, 543, 882, 11343, 873, 547, 22253, 25318, 1141, 519, 11975, 1705, 711, 2661, 563, 5475, 476, 1428, 5481, 267, 7736, 2401, 1336, 602, 519, 882, 11343, 1368, 653, 625, 1185, 7960, 10565, 543, 10477, 3270, 269, 26243, 267, 1312, 6901, 4951, 19427, 1813, 547, 2147, 5542, 12503, 1775, 269, 769, 513, 2663, 1353, 676, 6424, 1234, 345, 333, 1157, 267, 519, 2361, 2551, 729, 8947, 476, 1556, 1296, 2663, 1310, 7736, 2401, 882, 11343, 519, 1368, 653, 625, 547, 1164, 12535, 269, 634, 1353, 1336, 602, 519, 5095, 814, 7960, 538, 513, 1297, 540, 1114, 2081, 281, 7849, 5542, 568, 4767, 538, 4207, 1480, 5095, 267, 609, 2487, 4681, 11744, 602, 519, 2551, 693, 1981, 540, 519, 4049, 27676, 2068, 737, 15843, 814, 1713, 936, 3146, 335, 19948, 540, 606, 4761, 14583, 540, 519, 929, 542, 3940, 5444, 717, 309, 8957, 1875, 268, 14545, 27586, 563, 14722, 2022, 3634, 835, 540, 519, 4128, 585, 519, 4028, 5542 ]

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

[ 5002, 279, 670, 7564, 1889, 523, 4802, 3534, 5336, 599, 476, 2190, 267, 476, 2735, 273, 670, 1564, 1074, 328, 264, 513, 21993, 18502, 269, 19248, 684, 334, 6022, 18223, 655, 328, 267, 19248, 684, 334, 4406, 12047, 541, 6022, 334, 267, 19248, 684, 334, 5696, 7564, 25699, 7564, 338, 267, 19248, 684, 334, 4406, 12047, 541, 5696, 7564, 25699, 7564, 338, 610, 5696, 7564, 25699, 7564, 338, 267, 6022, 18223, 655, 328, 729, 513, 25227, 17076, 543, 22256, 269, 1261, 1185, 2185, 1453, 267, 623, 1068, 16210, 6022, 334, 267, 808, 4157, 6390, 6261, 2131, 6390, 6022, 334, 267, 6742, 16210, 6022, 334, 543, 10507, 14150, 6428, 2381, 523, 563, 14367, 11549, 4548, 1331, 570, 2863, 324, 16582, 6022, 334, 630, 29171, 476, 272, 281, 476, 3422, 278, 268, 3192, 276, 1070, 1133, 2129, 339, 636, 3430, 25959, 267, 2073, 2073, 2073, 543, 4586, 3891, 5747, 3361, 676, 2860, 563, 5649, 811, 827, 19248, 684, 334, 6022, 334, 593, 9504, 19314, 24938, 16210, 918, 1092, 329, 626, 334, 630, 20103, 476, 277, 267, 476, 4572, 277, 5244, 8457, 11219, 534, 4231, 476, 2190, 267, 476, 1220, 271, 670, 1564, 1074, 328, 264, 513, 21993, 18502, 269, 6742, 16210, 966, 559, 329, 9564, 918, 1092, 329, 626, 334, 729, 513, 25227, 17076, 563, 3891, 3323, 1010, 9117, 4876, 593, 519, 16222, 3942, 267, 543, 2663, 7902, 538, 3875, 25227, 8874, 543, 8613, 3126, 269, 2368, 540, 1010, 8037, 1568, 1331, 519, 8874, 834, 763, 32148, 22307, 1512, 257, 543, 834, 763, 6519, 1234, 785, 17621, 1701, 918, 1092, 329, 626, 334, 729, 849, 6444, 585, 1010, 960, 538, 519, 14364, 267, 1141, 646, 5129, 513, 3099, 540, 5107, 538, 1896, 24299, 2429, 1010, 4876, 269, 769, 1840, 547, 1010, 9117, 960, 267, 646, 729, 849, 513, 13730, 18048, 543, 15548, 538, 1896, 1857, 24218, 269, 918, 1092, 329, 626, 334, 729, 9833, 607, 835, 540, 519, 1034, 16805, 11051, 540, 1010, 5108, 538, 18940, 267, 543, 1010, 7418, 547, 519, 4670, 543, 14364, 2872, 616, 1869, 15422, 2221, 563, 5649, 811, 827, 6742, 16210, 918, 1092, 329, 626, 334, 593, 9504, 19314, 300, 2967, 10937, 1772, 7637, 630, 18550, 476, 1428, 267, 476, 4572, 278, 681, 4512, 29538, 7564, 7288, 5336, 1105, 476, 274, 267, 476, 1220, 272, 264, 729, 513, 25227, 14704, 563, 9515, 568, 1655, 1634, 585, 1200, 960, 609, 519, 25227, 1374, 2754, 3057, 830, 330, 14150, 269, 631, 2967, 10937, 1772, 7637, 729, 7620, 8036, 607, 513, 18048, 543, 6594, 693, 519, 670, 1564, 1074, 328, 6239, 3427, 540, 8551, 543, 27207, 269, 2701, 3323, 2324, 585, 3057, 830, 330, 14150, 538, 519, 2038, 476, 4198, 271, 338, 543, 3533, 2968, 513, 1883, 14704, 585, 519, 2754, 269, 1772, 7637, 781, 1034, 4583, 6272, 585, 3057, 830, 330, 14150, 1331, 519, 1133, 1731, 14150, 630, 16647, 6853, 264, 4806, 267, 799, 568, 1869, 538, 2504, 543, 4922, 6444, 2221, 269, 769, 1840, 547, 19135, 543, 4806, 1374, 267, 1772, 7637, 849, 2813, 3282, 10367, 267, 16493, 267, 543, 12383, 269, 4173, 960, 814, 1044, 17820, 538, 26847, 543, 15882, 1472, 519, 1158, 267, 543, 1352, 568, 4922, 9833, 607, 835, 540, 18940, 781, 1034, 1271, 19135, 543, 4806, 9858, 563, 5649, 811, 827, 631, 2967, 10937, 1772, 7637, 593, 9504, 19314, 299, 1513, 808, 753, 5459, 630, 19751, 476, 279, 267, 476, 4572, 277, 670, 1564, 1074, 328, 11219, 340, 569, 476, 4029, 267, 476, 1220, 271, 670, 1564, 1074, 328, 264, 849, 1634, 607, 808, 753, 5459, 267, 700, 1513, 729, 513, 25227, 5856, 543, 20419, 626, 269, 3571, 1126, 568, 20153, 807, 808, 753, 5459, 563, 299, 1513, 808, 753, 5459, 568, 1655, 1634, 607, 519, 2278, 543, 7376, 540, 519, 631, 7112, 514, 13371, 14816, 267, 799, 646, 3576, 936, 689, 1010, 7015, 570, 913, 808, 753, 5459, 538, 476, 3422, 271, 269, 1261, 4797, 547, 1711, 1007, 631, 7112, 514, 13371, 17446, 2394, 476, 3192, 276, 267, 1310, 799, 646, 5059, 593, 1603, 543, 20515, 1453, 781, 2835, 269, 769, 1840, 547, 1010, 960, 593, 519, 631, 7112, 514, 3126, 267, 808, 753, 5459, 849, 5249, 607, 606, 3879, 15249, 585, 1585, 25227, 12326, 267, 1519, 17476, 543, 1453, 781, 2835, 269, 2991, 1010, 2669, 538, 476, 1220, 271, 267, 646, 2451, 513, 9371, 607, 835, 540, 18940, 781, 1034, 11537, 20419, 1235, 543, 1453, 781, 4589, 563, 5649, 811, 827, 700, 1513, 808, 753, 5459, 593, 9504, 19314, 288, 541, 928, 590, 8811, 17383, 630, 21776, 476, 2420, 267, 476, 6642, 280, 22870, 1503, 1695, 16210, 11219, 2317, 476, 1321, 267, 476, 3422, 274, 670, 1564, 1074, 328, 264, 729, 513, 25227, 7209, 563, 3891, 729, 1655, 1634, 585, 1010, 1909, 538, 25227, 6214, 543, 1010, 3028, 607, 513, 4108, 19524, 1282, 2622, 2782, 4083, 269, 590, 8811, 17383, 729, 513, 4759, 540, 519, 25227, 12057, 543, 6039, 607, 519, 10579, 540, 16470, 689, 476, 3707, 276, 547, 476, 3707, 279, 269, 1261, 729, 849, 513, 31924, 4937, 538, 519, 25227, 8136, 543, 5129, 513, 1883, 1909, 538, 519, 8033, 6672, 2782, 1996, 519, 8168, 5742, 269, 590, 8811, 17383, 781, 5718, 543, 7580, 4058, 3366, 547, 519, 25227, 8136, 781, 3811, 8878, 540, 519, 918, 28328, 1014, 594, 560, 327, 16443, 1282, 519, 2112, 269, 2991, 1427, 3931, 689, 6214, 267, 646, 7283, 3742, 538, 1585, 25227, 3906, 543, 729, 13752, 1896, 26549, 585, 1010, 4108, 3028, 563, 5649, 811, 827, 589, 541, 928, 590, 8811, 17383, 593, 9504, 19314, 289, 14725, 334, 21081, 27048, 630, 9802, 476, 1691, 267, 476, 6977, 278, 9835, 667, 1276, 344, 540, 18940, 4149, 324, 4697, 476, 3066, 267, 476, 4350, 271, 264, 513, 21993, 18502, 269, 19839, 334, 30544, 21081, 27048, 729, 513, 25227, 4056, 563, 294, 3757, 27048, 729, 4535, 883, 513, 1920, 540, 16413, 543, 8030, 269, 1261, 21783, 689, 519, 670, 1564, 1074, 328, 2160, 540, 5303, 609, 513, 4110, 538, 6189, 538, 476, 6942, 280, 269, 2991, 2324, 538, 1585, 11265, 10909, 538, 670, 1564, 1074, 328, 543, 853, 269, 22642, 7921, 267, 646, 3964, 1010, 1378, 11265, 5604, 538, 670, 1564, 1074, 328, 538, 476, 6642, 278, 269, 21081, 27048, 729, 8185, 6766, 676, 519, 3203, 715, 537, 557, 879, 3350, 543, 2968, 835, 540, 519, 3056, 25227, 16413, 540, 519, 2511, 269, 2368, 540, 1010, 8037, 1568, 1331, 519, 670, 1564, 1074, 328, 20709, 262, 5600, 543, 519, 670, 1564, 1074, 328, 1530, 3120, 16852, 821, 23392, 269, 21081, 27048, 729, 849, 513, 7548, 540, 6189, 693, 519, 670, 1564, 1074, 328, 2160, 540, 5303, 689, 476, 5002, 279, 2394, 1010, 16468, 538, 476, 4572, 278, 269, 1261, 729, 13752, 519, 2140, 540, 7905, 538, 476, 4572, 271, 267, 538, 6284, 540, 1010, 10781, 538, 519, 2361, 540, 6189, 563, 5649, 811, 827, 19839, 334, 21081, 27048, 593, 9504, 19314, 292, 21416, 6441, 328, 13453, 2494, 1676, 630, 20103, 476, 276, 267, 476, 4572, 272, 670, 1564, 1074, 328, 11219, 340, 569, 476, 278, 267, 476, 1960, 276, 570, 2086, 699, 264, 729, 513, 25227, 10564, 267, 31075, 543, 6037, 1807, 563, 10048, 1676, 729, 835, 540, 519, 1034, 7986, 25227, 2413, 1235, 540, 519, 476, 4198, 271, 338, 543, 476, 3422, 271, 338, 269, 2701, 5206, 6965, 602, 8268, 4798, 971, 607, 2648, 267, 2470, 267, 543, 519, 1480, 2783, 267, 1419, 609, 12667, 543, 3532, 11052, 269, 2494, 1676, 781, 4249, 267, 799, 941, 1419, 5340, 693, 519, 570, 2086, 699, 523, 1855, 2660, 328, 538, 570, 2086, 699, 267, 18940, 267, 941, 8097, 543, 1285, 656, 3766, 31938, 267, 543, 1352, 729, 1634, 585, 1200, 946, 540, 23349, 3029, 543, 3889, 269, 769, 1840, 547, 1200, 1378, 1603, 267, 2494, 1676, 12261, 519, 1568, 540, 1082, 3486, 15023, 543, 24420, 23412, 267, 1519, 26450, 27117, 6601, 19816, 543, 12658, 518, 4815, 25661, 17144, 31240, 8619, 267, 883, 25227, 269, 2701, 729, 13752, 3875, 26065, 585, 1200, 7418, 547, 25227, 3332, 267, 1519, 519, 661, 3626, 2274, 3626, 15356, 538, 476, 4198, 271, 543, 519, 18940, 807, 15356, 538, 476, 2735, 272, 563, 5649, 811, 827, 661, 21416, 6441, 328, 13453, 2494, 1676, 593, 9504, 19314, 25857, 20891, 32572, 5213, 1676, 630, 21776, 476, 1626, 267, 476, 4350, 280, 570, 2086, 699, 11219, 2317, 476, 2767, 267, 476, 1001, 274, 32021, 984, 26684, 264, 513, 21993, 18502, 269, 32572, 5213, 1676, 267, 7009, 20891, 32572, 5213, 1676, 610, 5213, 1676, 267, 32572, 729, 513, 25227, 4670, 6060, 21917, 543, 17076, 563, 14367, 1034, 1134, 1634, 11549, 4548, 281, 5899, 902, 267, 2859, 20537, 476, 11277, 267, 5899, 902, 4860, 529, 1243, 267, 2073, 1656, 898, 19732, 2989, 24222, 2073, 543, 1547, 2637, 637, 281, 12634, 8106, 2575, 543, 27227, 563, 5649, 811, 827, 7009, 20891, 32572, 5213, 1676, 593, 9504, 9732, 0, 763, 7688, 568, 2966, 547, 1449, 707, 1702, 540, 519, 1888, 968, 763, 6129, 543, 519, 25578, 6100, 634, 1449, 960, 568, 2966, 585, 476, 1428, 1107, 476, 736, 3764, 543, 3568, 476, 277, 2055, 267, 799, 2154, 1702, 540, 519, 1570, 476, 273, 1107, 476, 274, 9433, 269, 1452, 2055, 666, 849, 581, 1031, 585, 606, 5711, 28882, 5619, 540, 1053, 269, 5999, 540, 4830, 960, 6322, 693, 519, 5250, 540, 1983, 2838, 676, 519, 1982, 267, 607, 1134, 607, 547, 6895, 741, 4110, 540, 5250, 543, 519, 1377, 540, 1702, 540, 1053, 593, 519, 1292, 2152, 540, 17651, 1576, 563, 14818, 960, 476, 275, 454, 307, 8084, 281, 968, 763, 2470, 540, 519, 4703, 540, 519, 3859, 1062, 9731, 268, 1548, 3615, 616, 851, 540, 519, 3859, 1062, 563, 268, 1548, 616, 519, 10785, 888, 268, 1548, 4703, 616, 1572, 1507, 10785, 610, 30563, 888, 268, 1548, 568, 519, 918, 14241, 704, 25028, 888, 268, 1548, 568, 519, 5888, 540, 519, 744, 677, 6531, 888, 268, 769, 1018, 4287, 798, 782, 519, 10785, 543, 30563, 17967, 1472, 519, 6129, 888, 268, 1548, 568, 519, 8953, 540, 519, 19236, 1062, 888, 268, 9122, 593, 1018, 1239, 666, 649, 8263, 602, 782, 519, 4703, 602, 4867, 1118, 909, 519, 3859, 1062, 4646, 827, 476, 275, 269, 276, 547, 476, 276, 5479, 1296, 3516, 888, 268, 5903, 519, 1614, 3334, 602, 1118, 909, 782, 519, 4703, 538, 519, 3859, 1062, 563, 268, 1548, 6585, 519, 10785, 538, 741, 25057, 1472, 519, 6129, 888, 268, 1548, 568, 519, 3196, 602, 8952, 14361, 593, 741, 24551, 607, 789, 8038, 998, 519, 3859, 1062, 888, 268, 1548, 3123, 519, 3604, 538, 519, 5860, 540, 519, 4694, 12742, 540, 519, 10785, 888, 268, 5903, 519, 1292, 17158, 525, 540, 519, 3047, 779, 8608, 563, 268, 4208, 1281, 519, 3047, 723, 513, 5982, 12966, 286, 1548, 5536, 616, 3769, 538, 922, 5888, 888, 268, 1548, 9259, 3361, 676, 519, 3047, 779, 6419, 2361, 616, 4767, 538, 519, 5580, 6106, 540, 519, 5790, 888, 268, 1548, 1909, 1281, 519, 3047, 779, 5790, 1404, 538, 922, 1272, 888, 268, 1548, 6941, 519, 3668, 540, 5790, 540, 519, 9855, 888, 268, 4208, 1281, 519, 9855, 1413, 17321, 982, 824, 8279, 538, 519, 3781, 6607, 888, 268, 1548, 1281, 519, 2627, 2837, 540, 519, 1114, 10785, 4096, 593, 888, 268, 1548, 616, 519, 2164, 540, 2090, 540, 519, 3114, 5888, 540, 519, 9855, 888, 268, 1548, 6941, 519, 1713, 2837, 7648, 593, 519, 16264, 2627, 689, 1554, 547, 3781, 888, 268, 1548, 616, 519, 2164, 540, 2090, 540, 519, 9258, 2427, 540, 519, 9855, 888, 268, 4208, 267, 1354, 14361, 24363, 1472, 519, 9855, 543, 13227, 1117, 922, 1394, 2427, 267, 3425, 1223, 1152, 1294, 3368, 540, 621, 888, 268, 1548, 616, 519, 2497, 543, 2168, 3601, 540, 519, 5580, 4494, 540, 519, 16264, 2627, 888, 268, 1215, 666, 649, 9794, 519, 3017, 538, 2085, 540, 519, 1835, 11596, 4767, 593, 519, 9855, 888, 268, 4208, 616, 2242, 593, 519, 16264, 2627, 1454, 14887, 982, 593, 3047, 888, 268, 8745, 519, 1614, 6106, 540, 519, 9855, 563, 268, 1548, 5123, 1590, 519, 9855, 581, 538, 585, 513, 3859, 24256, 547, 2049, 286, 30803, 24256, 888, 268, 1548, 568, 519, 2963, 540, 513, 4745, 5169, 540, 519, 9855, 543, 3047, 888, 268, 4208, 666, 649, 2911, 827, 519, 1279, 2165, 29696, 540, 23419, 856, 335, 712, 902, 543, 15027, 2534, 593, 519, 9855, 888, 268, 634, 3859, 1062, 2882, 5216, 1804, 10785, 609, 741, 15408, 267, 21221, 10785, 267, 936, 476, 1911 ]

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

[ 0, 1432, 568, 519, 1576, 827, 888, 20524, 519, 1686, 3297, 519, 3574, 4133, 649, 1294, 2221, 538, 5507, 269, 13760, 930, 540, 519, 1883, 8733, 3157, 2921, 1747, 538, 938, 3574, 4133, 543, 1451, 547, 2697, 513, 2039, 540, 18508, 543, 21426, 269, 10812, 5507, 779, 3574, 4133, 609, 2333, 1702, 543, 18399, 269, 4985, 693, 4975, 22175, 4553, 676, 1614, 28816, 15211, 282, 6753, 547, 581, 9672, 693, 519, 1376, 540, 519, 1576, 563, 1432, 786, 649, 3382, 888, 1892, 15650, 540, 28816, 454, 1892, 3778, 540, 3574, 4133, 538, 5507, 454, 1892, 8381, 1633, 14498, 454, 1892, 17291, 4054, 543, 2371, 454, 1892, 17291, 5017, 543, 2831, 563, 1432, 786, 594, 3035, 888, 3528, 519, 1439, 540, 713, 1576, 596, 1058, 581, 2111, 547, 2483, 1892, 13876, 1047, 513, 3099, 540, 28816, 2010, 454, 1892, 5681, 3405, 1047, 519, 1699, 1533, 540, 5507, 779, 3574, 4133, 454, 1892, 14674, 930, 540, 519, 1883, 8733, 3157, 1369, 513, 28816, 454, 1892, 13876, 1047, 693, 2547, 476, 276, 28816, 2371, 267, 4054, 543, 5017, 454, 1892, 12532, 538, 5507, 779, 3574, 4133, 609, 2799, 4656, 543, 18399, 563, 1432, 1377, 568, 519, 1576, 543, 798, 594, 991, 1022, 1880, 1983, 888, 1607, 568, 606, 2606, 1576, 543, 568, 1930, 547, 782, 269, 3143, 1991, 1702, 540, 519, 1641, 568, 2838, 269, 1717, 267, 596, 786, 454, 928, 539, 513, 1434, 9787, 540, 2296, 547, 1832, 909, 609, 519, 1576, 543, 547, 7119, 4628, 538, 5717, 269, 1411, 991, 547, 581, 454, 332, 9394, 2614, 547, 2347, 513, 16837, 569, 476, 273, 5662, 3802, 2059, 11315, 10092, 609, 930, 13141, 1149, 563, 1692, 786, 594, 581, 6026, 267, 543, 786, 972, 581, 1022, 960, 3544, 519, 1362, 888, 763, 1101, 8400, 786, 581, 606, 11609, 4367, 547, 3574, 4133, 538, 519, 4928, 693, 4975, 22175, 269, 901, 8400, 786, 454, 514, 2850, 930, 1367, 543, 1895, 1565, 4247, 269, 634, 15211, 786, 1491, 1747, 538, 513, 1114, 28816, 1142, 3018, 267, 609, 454, 2181, 322, 1047, 6753, 547, 581, 9672, 693, 519, 1376, 540, 519, 1576, 269, 2353, 15211, 786, 1376, 543, 9096, 693, 519, 1482, 5870, 1448, 543, 581, 3015, 676, 1857, 3560, 269, 634, 15211, 786, 782, 581, 1472, 476, 272, 269, 276, 910, 476, 273, 5195, 543, 786, 1519, 7114, 28816, 2249, 267, 1895, 4901, 543, 2055, 543, 4267, 563, 6701, 972, 1022, 824, 3790, 286, 1772, 972, 4376, 594, 991, 547, 3142, 888, 2791, 786, 991, 547, 3382, 519, 1942, 540, 707, 3560, 547, 519, 5870, 4025, 585, 519, 15211, 269, 23203, 6899, 7802, 585, 6972, 267, 1519, 19756, 31321, 269, 6333, 519, 4365, 593, 519, 1554, 543, 3142, 1216, 267, 513, 11058, 543, 3141, 2603, 542, 267, 610, 28890, 338, 607, 2838, 269, 18461, 1863, 547, 3142, 10822, 22811, 338, 543, 513, 8254, 952, 596, 6999, 563, 2691, 594, 4312, 8737, 267, 1018, 1576, 666, 594, 798, 1985, 888, 16100, 938, 585, 938, 2067, 1686, 543, 2257, 6030, 538, 938, 476, 1001, 280, 268, 736, 10872, 563, 14197, 1344, 543, 5796, 593, 6030, 693, 4975, 22175, 568, 2139, 689, 519, 9906, 10418, 543, 7732, 593, 11728, 547, 11016, 689, 476, 1321, 281, 876, 1107, 476, 866, 281, 876, 563, 8450, 519, 1576, 3391, 585, 2165, 7389, 543, 2417, 3877, 0, 1805, 800, 676, 715, 6347, 310, 5398, 16457, 454, 763, 1232, 2174, 2153, 539, 6861, 518, 608, 268, 4785, 306, 31550, 630, 24884, 476, 280, 3451, 264, 568, 4397, 547, 581, 6569, 538, 476, 1001, 276, 689, 519, 6115, 13108, 962, 731, 538, 6115, 267, 667, 5861, 1421, 585, 2347, 24905, 1782, 543, 9657, 563, 763, 18224, 26676, 31550, 1590, 581, 6569, 1354, 4070, 5956, 538, 5239, 476, 1001, 276, 593, 519, 1007, 19291, 30463, 17341, 15167, 267, 799, 568, 513, 6378, 12732, 602, 6382, 1131, 2244, 2000, 1442, 519, 6928, 563, 4785, 306, 31550, 729, 1232, 2174, 2153, 539, 593, 5437, 476, 276, 267, 476, 2735, 273, 543, 3459, 922, 1007, 4876, 607, 513, 8628, 1857, 4159, 6928, 538, 476, 2735, 275, 269, 898, 814, 1044, 1031, 585, 2866, 543, 6928, 4580, 5432, 1436, 267, 543, 607, 513, 30060, 3760, 269, 2991, 476, 1789, 1296, 607, 519, 8628, 4159, 6928, 693, 519, 6115, 13108, 962, 731, 543, 538, 601, 580, 1043, 585, 17609, 538, 519, 2817, 19193, 540, 19866, 23089, 267, 519, 26712, 31550, 786, 581, 11280, 585, 12871, 563, 4785, 306, 31550, 729, 519, 3791, 1280, 6135, 15593, 2006, 11665, 6861, 518, 3710, 543, 519, 8772, 6077, 547, 7703, 519, 2012, 540, 519, 3879, 686, 748, 21829, 2782, 17189, 5869, 267, 2155, 617, 648, 3627, 31550, 269, 8189, 539, 593, 5181, 476, 278, 267, 476, 4198, 277, 267, 31550, 6039, 476, 2918, 1296, 538, 519, 9533, 543, 7414, 18307, 564, 269, 31550, 6462, 519, 476, 4198, 279, 13149, 543, 8136, 23197, 1770, 13941, 538, 2142, 597, 583, 267, 26288, 269, 769, 476, 3422, 273, 267, 621, 729, 513, 4759, 540, 519, 4305, 3196, 602, 27170, 1441, 18010, 538, 3210, 547, 2963, 602, 8168, 28862, 1185, 1044, 8704, 593, 519, 6532, 269, 769, 10476, 267, 519, 6861, 518, 13234, 538, 519, 631, 2131, 784, 18647, 543, 6462, 20491, 17677, 26267, 267, 519, 4102, 19917, 1190, 5106, 2094, 519, 2244, 902, 538, 9705, 269, 31550, 729, 20295, 609, 21006, 811, 982, 476, 272, 267, 1822, 10546, 3889, 267, 543, 585, 922, 3028, 538, 519, 10476, 4655, 31550, 12236, 1079, 6370, 6801, 269, 769, 519, 2038, 476, 3192, 271, 338, 621, 729, 1753, 19959, 538, 18603, 267, 10255, 267, 607, 851, 540, 519, 13108, 781, 4464, 17293, 1982, 563, 2690, 811, 1344, 827, 26712, 31550, 267, 3346, 519, 25220, 8081, 11314, 6115, 5398, 16457, 8433, 693, 476, 4510, 274, 268, 29580, 268, 277, 4792, 274, 269, 0, 1432, 568, 9473, 18730, 11485, 888, 288, 19319, 547, 2679, 5321, 547, 971, 513, 1164, 1377, 540, 2011, 9395, 1145, 568, 789, 616, 811, 12155, 547, 4835, 28198, 543, 22285, 2208, 563, 19465, 6042, 2832, 547, 2048, 1228, 638, 2299, 2149, 685, 5656, 689, 1312, 26300, 527, 658, 543, 2627, 28198, 269, 17183, 28198, 666, 2049, 1141, 4389, 2157, 540, 13471, 1711, 513, 4411, 1448, 593, 513, 1880, 3774, 267, 8122, 610, 6989, 269, 3955, 560, 527, 658, 28198, 666, 2049, 1141, 32350, 666, 1628, 909, 1369, 513, 4070, 609, 1100, 1797, 540, 29400, 563, 2691, 568, 9473, 18730, 11485, 5811, 2838, 888, 2252, 596, 616, 2324, 547, 513, 14850, 335, 5803, 4070, 267, 610, 616, 14335, 513, 25810, 267, 707, 1374, 786, 811, 2693, 547, 991, 3606, 11974, 547, 2327, 28198, 3884, 1406, 2469, 547, 581, 513, 1966, 563, 4322, 9273, 616, 1419, 6192, 607, 851, 540, 519, 2143, 1374, 547, 2327, 519, 6069, 2679, 15118, 2388, 543, 4070, 616, 2966, 547, 3970, 519, 1981, 540, 28198, 8108, 563, 763, 2037, 1120, 626, 13979, 454, 5978, 4879, 6887, 666, 2708, 1312, 2010, 540, 28198, 2079, 267, 543, 666, 1711, 9273, 585, 6272, 543, 25481, 540, 782, 2010, 563, 30812, 18730, 2079, 568, 5702, 5532, 547, 8143, 28043, 2079, 543, 772, 268, 11749, 1132, 1107, 891, 2533, 616, 849, 2139, 689, 2037, 1120, 626, 269, 0, 288, 3659, 543, 24158, 540, 590, 1952, 14833, 945, 568, 26518, 538, 1896, 15998, 267, 1034, 14916, 538, 968, 293, 4048, 618, 476, 9834, 1848, 2701, 5526, 3006, 607, 590, 1952, 14833, 779, 11537, 855, 3006, 607, 519, 20494, 1324, 24158, 540, 1776, 4807, 267, 799, 814, 3366, 547, 1454, 25127, 827, 519, 2470, 540, 741, 2078, 563, 1103, 968, 293, 4048, 618, 476, 1626, 2223, 519, 10584, 19776, 1200, 547, 24796, 540, 31684, 543, 22378, 985, 1200, 851, 532, 269, 2701, 729, 2693, 513, 24158, 540, 590, 1952, 14833, 563, 763, 17754, 4807, 9310, 547, 1261, 19241, 528, 269, 5259, 29631, 4137, 945, 849, 5526, 538, 634, 594, 2993, 611, 563, 763, 5259, 15831, 540, 2648, 547, 7247, 1454, 540, 590, 1952, 14833, 779, 6965, 568, 13991, 610, 6131, 269, 590, 1952, 14833, 1915, 3278, 1200, 607, 32161, 267, 3532, 267, 524, 7342, 543, 4190, 269, 2701, 568, 3006, 4857, 607, 19109, 1440, 529, 267, 513, 2012, 799, 2501, 689, 19109, 2889, 338, 267, 610, 30259, 267, 1141, 589, 874, 16967, 924, 729, 4535, 563, 6624, 540, 590, 1952, 14833, 779, 9954, 4099, 1472, 606, 796, 24887, 4807, 945, 568, 11537, 269, 10705, 267, 891, 2021, 616, 9619, 538, 519, 2034, 1268, 676, 519, 10584, 543, 616, 519, 1843, 540, 1200, 1860, 687, 267, 855, 711, 2141, 1765, 968, 293, 4048, 618, 476, 9834, 2223, 585, 1383, 267, 7740, 1472, 519, 8977, 539, 24158, 540, 513, 4807, 3957, 2311, 10472, 563, 763, 5259, 15831, 540, 519, 667, 11921, 267, 849, 3957, 661, 657, 269, 2701, 8593, 538, 2648, 609, 519, 6180, 531, 570, 603, 517, 657, 563, 295, 2131, 30004, 729, 513, 13584, 540, 31684, 543, 519, 6574, 18858, 13568, 24116, 267, 9310, 547, 1656, 668, 5995, 269, 1261, 568, 7166, 676, 31456, 607, 20947, 585, 519, 2669, 540, 4793, 549, 1816, 267, 31456, 685, 24158, 269, 1261, 568, 513, 5259, 29631, 4137, 945, 849, 5526, 538, 634, 594, 2993, 611, 563, 13900, 523, 540, 31684, 454, 9515, 2451, 1200, 1975, 691, 534, 9393, 267, 3751, 9093, 601, 9476, 267, 543, 19679, 547, 31684, 547, 581, 609, 8303, 267, 513, 18858, 13568, 19036, 269, 769, 1427, 9084, 267, 9093, 601, 9476, 543, 1010, 7015, 10294, 2112, 547, 29379, 1200, 267, 3976, 4098, 519, 18858, 13568, 2782, 269, 2701, 568, 513, 5259, 29631, 4137, 945, 849, 5526, 538, 634, 594, 2993, 611, 563, 27306, 2967, 657, 568, 513, 16190, 18858, 13568, 28034, 945, 849, 5526, 538, 634, 594, 2993, 611, 563, 31528, 5601, 2221, 811, 4922, 1634, 607, 21011, 269, 590, 1952, 14833, 22842, 1864, 607, 519, 5601, 540, 519, 11430, 516, 267, 513, 2186, 540, 3771, 335, 563, 21914, 540, 31684, 543, 1261, 19241, 528, 781, 4651, 269, 1261, 568, 513, 5259, 29631, 4137, 945, 849, 5526, 538, 634, 594, 2993, 611, 563, 306, 1952, 14833, 8100, 9887, 676, 2012, 538, 1896, 9954, 269, 8625, 267, 891, 9954, 7291, 1200, 1915, 607, 513, 581, 516, 8491, 24158, 267, 513, 7928, 5083, 21838, 540, 2021, 267, 543, 513, 25058, 324, 540, 589, 874, 16967, 924, 269, 898, 779, 1271, 547, 16174, 590, 1952, 14833, 607, 10584, 543, 1915, 689, 590, 1952, 14833, 519, 10564, 269, 590, 1952, 14833, 519, 10564, 949, 2328, 609, 513, 1114, 5133, 267, 610, 689, 1776, 942, 267, 689, 519, 1268, 320, 1352, 4564, 538, 1200, 6965, 269, 634, 1268, 4330, 538, 519, 1585, 15998, 799, 4183, 1200, 3884, 1405, 9985, 23887, 1765, 1721, 1383, 267, 519, 834, 306, 1952, 14833, 257, 945, 669, 1162, 4807, 1310, 4807, 538, 834, 293, 4048, 618, 476, 272, 257, 4667, 1360, 1114, 689, 519, 590, 1952, 14833, 945, 2712, 2471, 513, 8977, 532, 24158, 547, 17743, 538, 3965, 538, 834, 293, 4048, 618, 476, 11463, 1701, 769, 713, 3391, 267, 519, 2012, 540, 519, 1915, 968, 306, 1952, 14833, 892, 568, 538, 19722, 7436, 547, 5815, 1141, 519, 2012, 568, 513, 19722, 689, 519, 6648, 267, 543, 547, 10646, 713, 1915, 689, 519, 5639, 540, 519, 10564, 9887, 267, 4171, 5133, 568, 1419, 811, 7294, 563, 7212, 590, 1952, 14833, 568, 3006, 3957, 607, 519, 10584, 267, 1082, 540, 519, 15998, 616, 811, 683, 12712, 748, 269, 18623, 723, 1179, 4327, 602, 930, 1568, 616, 2854, 538, 519, 5639, 540, 1585, 12473, 5869, 1149, 267, 543, 1866, 949, 723, 1044, 2854, 585, 513, 1895, 267, 610, 547, 17932, 519, 9739, 540, 519, 10564, 781, 2828, 563, 1103, 5259, 13299, 267, 570, 603, 517, 657, 729, 513, 4190, 19036, 945, 519, 15831, 540, 519, 667, 11921, 8593, 538, 2648, 609, 269, 2701, 4280, 28736, 547, 9886, 1864, 23629, 1275, 267, 855, 29709, 547, 2307, 585, 18163, 6107, 269, 570, 603, 517, 657, 3976, 9907, 11014, 267, 5555, 3395, 865, 695, 14725, 5287, 543, 23743, 1194, 602, 646, 5828, 883, 513, 6371, 7749, 704, 563, 306, 1952, 14833, 281, 31888, 543, 32746, 906, 5999, 543, 12226, 454, 763, 7726, 543, 8382, 3296, 585, 590, 1952, 14833, 281, 31888, 543, 32746, 906, 568, 513, 1390, 454, 637, 1830, 547, 2307, 2055, 267, 1265, 4267, 267, 543, 1865, 519, 3209, 563, 763, 3618, 568, 1419, 513, 3090, 540, 12680, 543, 2208, 630, 18485, 519, 16380, 543, 519, 14564, 814, 513, 15831, 540, 3047, 267, 9919, 637, 543, 5915, 2678, 264, 2094, 950, 5452, 616 ]

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

[ 519, 8188, 269, 3040, 476, 273, 269, 21661, 519, 15174, 780, 274, 269, 1261, 343, 30368, 268, 21661, 519, 674, 2167, 634, 10155, 540, 519, 15279, 6782, 568, 3144, 689, 835, 3068, 547, 519, 6587, 3068, 780, 275, 269, 1261, 343, 30368, 268, 21661, 519, 12397, 619, 634, 10155, 540, 519, 15279, 6782, 568, 3144, 689, 835, 7944, 547, 519, 6587, 7944, 780, 276, 269, 1261, 343, 30368, 910, 1215, 547, 2721, 873, 8571, 5858, 693, 519, 2838, 2450, 269, 1403, 519, 15279, 6782, 568, 547, 581, 476, 2004, 7825, 2066, 519, 15174, 610, 630, 3722, 264, 519, 2721, 513, 5858, 3331, 502, 2004, 269, 1403, 519, 15279, 6782, 568, 547, 581, 476, 2004, 7825, 2066, 519, 8188, 610, 630, 28425, 264, 519, 2721, 513, 5858, 3331, 502, 2004, 780, 277, 269, 1261, 343, 30368, 910, 1215, 547, 2721, 873, 1280, 15279, 30368, 2066, 519, 1166, 1846, 946, 707, 476, 1789, 4113, 270, 2568, 4113, 1305, 4009, 547, 2721, 519, 3515, 547, 1118, 909, 519, 15279, 6782, 269, 634, 15279, 6782, 1058, 581, 6537, 3544, 519, 5858, 780, 278, 269, 1261, 343, 30368, 910, 1215, 547, 2721, 873, 1280, 15279, 30368, 2066, 519, 15174, 946, 707, 476, 1789, 4113, 270, 2568, 4113, 1305, 4009, 547, 2721, 519, 3515, 547, 1118, 909, 519, 15279, 6782, 269, 634, 15279, 6782, 1058, 581, 6537, 3330, 519, 5858, 780, 279, 269, 1261, 343, 21192, 2398, 3359, 3040, 1261, 343, 21192, 929, 3359, 616, 2147, 547, 26561, 855, 3079, 540, 2348, 513, 9764, 3444, 3296, 789, 616, 15279, 21192, 780, 280, 269, 1261, 343, 21192, 2398, 3359, 910, 519, 29175, 566, 3767, 649, 786, 2721, 519, 29175, 566, 540, 519, 15279, 21192, 24388, 269, 27551, 27551, 1284, 1294, 1142, 540, 519, 8188, 607, 25965, 609, 519, 11097, 652, 1373, 519, 8998, 269, 29175, 566, 692, 1015, 269, 1261, 343, 21192, 2398, 3359, 910, 519, 4643, 3767, 649, 786, 2721, 519, 4643, 540, 519, 15279, 21192, 24388, 269, 5741, 519, 3515, 909, 689, 519, 29175, 566, 269, 29175, 566, 692, 1556, 269, 1261, 343, 21192, 2398, 3359, 910, 519, 4643, 3973, 946, 707, 476, 1789, 270, 2568, 1305, 4009, 547, 2347, 269, 4643, 29175, 566, 692, 1321, 269, 1261, 343, 21192, 2398, 3359, 910, 519, 7736, 29175, 566, 8571, 513, 476, 3393, 4113, 689, 519, 1283, 1318, 1688, 7944, 540, 519, 29175, 566, 269, 901, 476, 3393, 4113, 1899, 568, 1572, 513, 25483, 1899, 269, 4643, 29175, 566, 692, 1724, 269, 1261, 343, 21192, 2398, 3359, 910, 519, 7736, 29175, 566, 5741, 519, 3178, 540, 519, 3625, 2066, 547, 519, 25483, 1899, 1287, 1141, 789, 12969, 1788, 1524, 269, 4643, 29175, 566, 692, 1691, 269, 1261, 343, 21192, 2398, 3359, 910, 519, 7736, 29175, 566, 3767, 1788, 519, 15627, 2066, 689, 519, 29175, 566, 547, 2347, 269, 4643, 29175, 566, 7736, 29175, 566, 692, 1428, 269, 1261, 343, 21192, 2398, 3359, 910, 519, 7388, 1540, 13106, 4919, 4643, 29175, 566, 7736, 29175, 566, 692, 1626, 269, 1261, 343, 21192, 2398, 3359, 910, 2060, 595, 7491, 3040, 6884, 519, 1283, 610, 519, 5377, 630, 528, 1312, 540, 891, 264, 616, 22872, 1055, 519, 24388, 269, 901, 1223, 581, 952, 519, 24388, 729, 585, 513, 6003, 610, 4859, 585, 1945, 269, 3040, 1924, 875, 798, 649, 2721, 713, 286, 3040, 634, 1985, 1906, 15942, 786, 1397, 721, 780, 1704, 269, 12338, 1261, 343, 21192, 2398, 3359, 910, 519, 29175, 566, 23657, 519, 29175, 566, 610, 7736, 29175, 566, 786, 7363, 581, 2016, 6537, 585, 596, 269, 4475, 267, 596, 786, 723, 547, 581, 2111, 547, 2697, 873, 269, 20128, 519, 11912, 29175, 566, 692, 1240, 269, 12338, 1261, 343, 21192, 2398, 3359, 910, 519, 4643, 5741, 519, 3515, 909, 689, 519, 29175, 566, 607, 3254, 269, 29175, 566, 692, 866, 269, 12338, 1261, 343, 21192, 2398, 3359, 910, 519, 4643, 2422, 707, 476, 1789, 270, 2568, 1305, 4009, 547, 2347, 519, 3339, 15279, 21192, 3337, 269, 4634, 1498, 519, 1283, 543, 5377, 540, 519, 24388, 723, 1044, 2759, 267, 519, 7291, 689, 519, 1544, 2070, 3788, 519, 1482, 269, 4643, 29175, 566, 692, 736, 269, 12338, 1261, 343, 21192, 2398, 3359, 910, 519, 4643, 3767, 1788, 909, 519, 3515, 689, 1141, 519, 11912, 616, 1500, 269, 4643, 29175, 566, 692, 2641, 269, 12338, 1261, 343, 21192, 2398, 3359, 910, 519, 4643, 3767, 4158, 523, 538, 891, 3515, 593, 519, 1544, 269, 1411, 4465, 1406, 581, 2111, 547, 1294, 519, 2759, 593, 519, 5377, 540, 519, 24388, 865, 621, 786, 581, 6537, 607, 513, 6456, 1469, 1899, 269, 4643, 29175, 566, 692, 2420, 269, 12338, 1261, 343, 21192, 2398, 3359, 910, 519, 7736, 29175, 566, 3767, 602, 519, 1544, 568, 2347, 649, 723, 547, 2721, 519, 7736, 29175, 566, 269, 6969, 649, 666, 2721, 938, 476, 3393, 4113, 25483, 1899, 649, 723, 547, 1265, 856, 1141, 519, 1283, 1318, 1688, 7944, 540, 519, 29175, 566, 568, 269, 4643, 1677, 798, 713, 8831, 519, 1283, 2066, 543, 519, 2427, 909, 269, 8571, 707, 476, 3393, 4113, 25483, 1899, 689, 1141, 789, 3444, 269, 29175, 566, 692, 2537, 269, 12338, 1261, 343, 21192, 2398, 3359, 910, 519, 7736, 29175, 566, 5741, 519, 3178, 540, 519, 3625, 2066, 547, 519, 25483, 1899, 1287, 1141, 789, 12969, 1788, 1524, 269, 4643, 29175, 566, 692, 2190, 269, 12338, 1261, 343, 21192, 2398, 3359, 910, 519, 7736, 29175, 566, 3767, 1788, 519, 15627, 2066, 689, 519, 29175, 566, 547, 2347, 269, 4643, 29175, 566, 7736, 29175, 566, 692, 1839, 269, 12338, 1261, 343, 21192, 2398, 3359, 910, 519, 7736, 29175, 566, 901, 3337, 5654, 26101, 855, 3314, 267, 972, 616, 476, 277, 15174, 543, 8188, 540, 519, 3337, 865, 519, 11912, 666, 1152, 979, 547, 519, 15174, 269, 4643, 29175, 566, 7736, 29175, 566, 692, 2918, 269, 1261, 343, 21192, 2398, 3359, 910, 519, 4886, 3040, 589, 1646, 568, 513, 6366, 10959, 540, 513, 476, 274, 291, 3337, 602, 950, 25649, 909, 538, 519, 2953, 1259, 2306, 519, 4890, 3337, 540, 519, 476, 274, 291, 1843, 269, 3040, 3763, 906, 616, 3226, 3730, 950, 20592, 1007, 1374, 2093, 610, 547, 5965, 585, 24208, 5546, 538, 6656, 4496, 780, 2767, 269, 1261, 343, 21192, 2398, 3359, 910, 519, 4886, 3371, 519, 1646, 540, 519, 5011, 786, 581, 6537, 269, 901, 1281, 711, 1331, 519, 1283, 543, 5377, 540, 519, 24388, 269, 5741, 519, 4463, 540, 519, 24388, 2066, 519, 2985, 269, 4643, 29175, 566, 692, 2764, 269, 1261, 343, 21192, 2398, 3359, 910, 519, 4886, 3767, 267, 1210, 513, 22315, 267, 1900, 856, 519, 13080, 540, 1142, 2427, 5196, 891, 3515, 269, 8571, 7299, 3515, 693, 1142, 540, 891, 2798, 269, 4643, 29175, 566, 692, 3066, 269, 1261, 343, 21192, 2398, 3359, 910, 519, 4886, 476, 277, 476, 272, 1677, 1118, 1919, 4443, 649, 1297, 1142, 540, 519, 15174, 540, 519, 15279, 6782, 269, 476, 276, 476, 273, 1684, 713, 607, 3254, 593, 519, 4643, 267, 29175, 566, 543, 1646, 269, 476, 275, 476, 274, 476, 272, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 272, 4643, 589, 1646, 2141, 6238, 543, 7475, 609, 519, 1482, 22921, 7944, 269, 1879, 621, 26642, 909, 891, 1058, 2743, 269, 3371, 835, 1297, 568, 1657, 519, 824, 269, 901, 568, 1317, 7944, 1297, 476, 274, 568, 538, 4395, 540, 7944, 476, 272, 269, 476, 276, 476, 275, 476, 273, 476, 274, 29175, 566, 476, 277, 476, 272, 692, 1789, 269, 1261, 343, 21192, 2398, 3359, 910, 519, 4886, 476, 277, 476, 272, 5741, 519, 11912, 2066, 5196, 519, 1646, 16287, 519, 3617, 15174, 607, 596, 979, 269, 476, 276, 476, 273, 476, 275, 476, 274, 476, 272, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 272, 4643, 476, 276, 476, 275, 476, 273, 476, 274, 29175, 566, 476, 277, 476, 272, 692, 4029, 269, 1261, 343, 21192, 2398, 3359, 910, 519, 4886, 476, 277, 476, 272, 5741, 519, 11912, 2066, 5196, 519, 1646, 16287, 519, 3617, 15174, 607, 596, 979, 269, 476, 276, 476, 273, 476, 275, 476, 274, 476, 272, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 272, 4643, 476, 276, 476, 275, 476, 273, 476, 274, 29175, 566, 476, 277, 476, 272, 692, 3953, 269, 1261, 343, 21192, 2398, 3359, 910, 519, 4886, 476, 277, 476, 272, 5741, 519, 11912, 2066, 5196, 519, 1646, 16287, 519, 3617, 15174, 607, 596, 979, 269, 476, 276, 476, 273, 476, 275, 476, 274, 476, 272, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 272, 4643, 476, 276, 476, 275, 476, 273, 476, 274, 29175, 566, 476, 277, 476, 272, 692, 3451, 269, 1261, 343, 21192, 2398, 3359, 910, 519, 4886, 476, 277, 476, 272, 5741, 519, 11912, 2066, 5196, 519, 1646, 16287, 519, 3617, 15174, 607, 596, 979, 269, 476, 276, 476, 273, 476, 275, 476, 274, 476, 272, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 272, 4643, 476, 276, 476, 275, 476, 273, 476, 274, 29175, 566, 476, 277, 476, 272, 692, 4097, 269, 1261, 343, 21192, 2398, 3359, 910, 519, 4886, 476, 277, 476, 272, 5741, 519, 11912, 2066, 5196, 519, 1646, 16287, 519, 3617, 15174, 607, 596, 979, 269, 476, 276, 476, 273, 476, 275, 476, 274, 476, 272, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 272, 4643, 476, 276, 476, 275, 476, 273, 476, 274, 29175, 566, 476, 277, 476, 272, 692, 3374, 269, 1261, 343, 21192, 2398, 3359, 910, 519, 4886, 476, 277, 476, 272, 5741, 519, 11912, 2066, 5196, 519, 1646, 16287, 519, 3617, 15174, 607, 596, 979, 269, 476, 276, 476, 273, 476, 275, 476, 274, 476, 272, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 272, 4643, 476, 276, 476, 275, 476, 273, 476, 274, 29175, 566, 476, 277, 476, 272, 692, 3607, 269, 1261, 343, 21192, 2398, 3359, 910, 519, 4886, 476, 277, 476, 272, 3767, 6443, 707, 15956, 909, 547, 2347, 519, 1646, 269, 476, 276, 476, 273, 1306, 519, 15279, 21192, 24388, 814, 1100, 14258, 267, 946, 513, 2786, 6316, 547, 6443, 519, 15956, 269, 476, 275, 476, 274, 476, 272, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 272, 4643, 476, 276, 476, 275, 476, 273, 476, 274, 29175, 566, 476, 277, 476, 272, 692, 4391, 269, 1261, 343, 21192, 2398, 3359, 910, 519, 4886, 476, 277, 476, 272, 3371, 568, 513, 20501, 2070, 540, 519, 2347, 1646, 269, 476, 276, 476, 273, 476, 275, 476, 274, 476, 272, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 272, 4643, 476, 276, 476, 275, 476, 273, 476, 274, 29175, 566, 476, 277, 476, 272, 692, 4343, 269, 1261, 343, 30368, 1299, 1261, 343, 21192, 2398, 3359, 3040, 1261, 343, 30368, 616, 476, 277, 521, 3660, 5546, 269, 3040, 1261, 343, 30368, 666, 581, 10155, 539, 589, 22077, 610, 589, 14727, 269, 3040, 634, 15174, 1058, 581, 22921, 950, 5373, 15279, 21192, 929, 3359, 547, 1118, 621, 4443, 547, 2995, 1141, 11912, 979, 269, 3040, 589, 1646, 786, 16784, 909, 547, 1118, 513, 476, 274, 291, 2203, 540, 519, 1843, 269, 0, 15612, 639, 2986, 2290, 7464, 24438, 1107, 1635, 623, 26907, 13690, 966, 532, 3848, 476, 272, 281, 7799, 1080, 1656, 8033, 8462, 1107, 8791, 476, 272, 269, 272, 269, 272, 281, 7799, 1080, 476, 272, 269, 272, 269, 272, 7799, 1080, 692, 476, 272, 269, 18882, 2986, 634, 10417, 2986, 7799, 1080, 692, 307, 836, 757, 692, 288, 17242, 547, 513, 5858, 568, 513, 2786, 1899, 602, 12969, 338, 519, 5858, 693, 513, 2582, 1448, 269, 6423, 8431, 269, 476, 272, 269, 272, 269, 1924, 666, 649, 5581, 513, 17242, 454, 1729, 606, 17062, 7455, 607, 513, 2786, 1899, 602, 12969, 338, 519, 7455, 693, 513, 2582, 1448, 286, 1677, 1265, 856, 1577, 781, 1413, 693, 8431, 269, 476, 272, 269, 273, 269, 22682, 692, 8431, 269, 476, 272, 269, 272, 5231, 19358, 550, 547, 513, 5858, 12969, 338, 5858, 693, 513, 2582, 1448, 780, 8431, 269, 476, 272, 269, 273, 5231, 570, 272, 281, 513, 17242, 267, 570, 273, 281, 513, 17242, 267, 590, 281, 711, 513, 17242, 780, 1467, 570, 272, 12969, 338, 7455, 595, 693, 513, 2582, 1448, 543, 568, 513, 17242, 547, 595, 267, 1899, 570, 273, 12969, 338, 595, 693, 811, 982, 476, 272, 1448, 543, 568, 17242, 454, 1729, 454 ]

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

[ 2729, 543, 2149, 741, 4690, 267, 1256, 952, 621, 5921, 1210, 3196, 610, 5208, 1996, 1866, 269, 20122, 15816, 5156, 602, 7787, 2043, 1131, 5431, 519, 13766, 540, 29400, 713, 29450, 545, 1533, 676, 32380, 21704, 532, 930, 540, 741, 22624, 547, 513, 18678, 6392, 267, 9591, 513, 1514, 4579, 602, 1131, 1291, 547, 519, 5137, 540, 513, 2178, 543, 6207, 2229, 9789, 2274, 12858, 11936, 563, 299, 665, 651, 779, 1230, 4003, 540, 519, 3557, 540, 7186, 454, 11990, 28676, 267, 538, 1010, 9565, 960, 968, 10521, 6164, 2478, 540, 6554, 892, 630, 12739, 280, 1070, 4843, 513, 811, 23904, 2070, 540, 519, 1533, 540, 2470, 3379, 547, 20122, 15816, 269, 4340, 547, 28676, 267, 519, 1533, 540, 2470, 729, 513, 1533, 540, 3501, 5191, 543, 7862, 267, 1141, 2043, 10150, 2067, 2924, 547, 1272, 267, 15698, 267, 543, 3959, 630, 299, 665, 651, 267, 476, 12739, 280, 1040, 9521, 20122, 15816, 267, 28676, 1705, 711, 3494, 602, 519, 1533, 540, 2470, 8209, 3366, 547, 14784, 543, 5208, 269, 5502, 267, 646, 11130, 602, 2043, 1185, 519, 7915, 4390, 547, 2601, 543, 1246, 2067, 4031, 563, 1103, 519, 1533, 540, 2470, 267, 3025, 1185, 519, 1318, 547, 2149, 741, 1272, 267, 15698, 267, 543, 3959, 267, 543, 2043, 941, 4397, 547, 19439, 1346, 945, 26991, 891, 2924, 269, 1717, 267, 28676, 17019, 602, 7526, 1223, 8451, 538, 519, 9000, 540, 513, 21438, 6392, 547, 18836, 6053, 7755, 644, 6510, 13882, 269, 1261, 5156, 602, 519, 1533, 540, 2470, 26218, 606, 2500, 543, 28102, 1062, 540, 5126, 267, 3056, 2043, 547, 2097, 1927, 543, 3715, 513, 3540, 2486, 998, 513, 1514, 4579, 269, 634, 3119, 3483, 540, 713, 4579, 729, 547, 5150, 519, 2067, 2924, 540, 2043, 543, 1711, 513, 3908, 2229, 602, 6508, 922, 6392, 689, 519, 9844, 540, 519, 18170, 563, 305, 28907, 879, 779, 1230, 4003, 540, 519, 3557, 540, 7186, 454, 297, 6756, 11219, 659, 13196, 681, 28907, 879, 267, 538, 1010, 9565, 960, 968, 763, 4317, 20260, 892, 630, 12293, 273, 1070, 4843, 513, 17804, 2070, 540, 519, 1533, 540, 2470, 3379, 547, 1312, 20122, 15816, 543, 28676, 269, 681, 28907, 879, 9763, 519, 1533, 540, 2470, 607, 513, 12560, 543, 18900, 6228, 267, 1141, 3425, 5030, 538, 18642, 16134, 267, 1863, 689, 519, 18348, 687, 540, 2486, 630, 305, 28907, 879, 267, 476, 12293, 273, 1040, 769, 1010, 2070, 267, 621, 729, 519, 11944, 540, 4357, 3959, 543, 519, 1646, 540, 8635, 602, 22314, 713, 7329, 22690, 545, 1533, 543, 3366, 547, 1514, 476, 1571, 563, 305, 28907, 879, 11130, 602, 538, 519, 1533, 540, 2470, 267, 2043, 941, 1582, 1606, 11211, 543, 26218, 519, 642, 1182, 2404, 609, 10340, 269, 1703, 729, 1100, 1523, 540, 3959, 9562, 610, 1514, 21441, 267, 543, 1004, 5030, 538, 8994, 9316, 543, 10103, 269, 1717, 267, 609, 519, 4417, 540, 6683, 543, 519, 10661, 540, 3959, 2924, 267, 16526, 7153, 267, 3056, 547, 519, 4473, 540, 6608, 543, 519, 14226, 540, 519, 4617, 676, 519, 3532, 563, 6097, 547, 681, 28907, 879, 267, 519, 1514, 4579, 729, 5921, 547, 2232, 519, 1966, 540, 8635, 543, 11177, 5191, 543, 5126, 269, 1261, 6069, 513, 7104, 1514, 4579, 602, 6322, 547, 1711, 513, 2486, 18170, 676, 519, 968, 2102, 1968, 786, 892, 540, 519, 1004, 269, 901, 2489, 786, 729, 711, 547, 581, 11821, 609, 519, 6071, 2040, 540, 1367, 786, 338, 855, 2864, 6719, 1018, 729, 538, 519, 1655, 1719, 540, 519, 2146, 607, 513, 2898, 269, 769, 713, 1259, 267, 681, 28907, 879, 8179, 547, 31363, 1367, 5191, 609, 519, 1455, 1434, 563, 295, 984, 15816, 267, 28676, 267, 543, 681, 28907, 879, 779, 1523, 687, 540, 519, 1533, 540, 2470, 11651, 3022, 3648, 267, 609, 20122, 15816, 10771, 519, 13766, 540, 513, 2178, 267, 21438, 6392, 267, 28676, 14957, 585, 513, 3908, 2229, 1759, 593, 519, 9844, 540, 519, 18170, 267, 543, 681, 28907, 879, 3981, 532, 513, 7104, 1514, 4579, 602, 6322, 547, 11177, 7862, 543, 10103, 563, 295, 984, 15816, 543, 28676, 1312, 5156, 602, 519, 1533, 540, 2470, 729, 513, 19858, 4020, 267, 513, 2219, 4603, 547, 9414, 519, 5169, 540, 2797, 6392, 543, 519, 991, 585, 2229, 269, 769, 4334, 267, 681, 28907, 879, 4843, 513, 811, 11509, 1242, 2070, 540, 519, 1533, 540, 2470, 267, 6236, 621, 607, 513, 3140, 4641, 1354, 519, 4417, 540, 6896, 2486, 563, 4407, 20122, 15816, 543, 28676, 9763, 1480, 2470, 538, 513, 10169, 533, 612, 574, 2065, 1769, 267, 609, 20122, 15816, 10771, 1582, 29027, 543, 6735, 543, 28676, 10223, 519, 1761, 585, 4655, 267, 681, 28907, 879, 4718, 1480, 2470, 607, 20244, 1434, 543, 18756, 1354, 519, 18348, 532, 3310, 540, 6848, 3889, 563, 5194, 1883, 3017, 6013, 538, 741, 5784, 593, 519, 1514, 4579, 269, 1280, 20122, 15816, 267, 519, 1514, 4579, 729, 606, 6876, 1851, 2043, 547, 21704, 741, 2067, 23118, 547, 513, 19988, 6392, 585, 519, 19160, 540, 3354, 543, 1931, 269, 28676, 267, 593, 519, 824, 1688, 267, 4718, 519, 1514, 4579, 607, 606, 6876, 547, 2149, 2067, 2924, 267, 5097, 2519, 593, 1272, 267, 15698, 267, 543, 3959, 269, 681, 28907, 879, 779, 1514, 4579, 267, 607, 5018, 4505, 267, 6322, 547, 1711, 513, 2486, 1759, 593, 519, 2489, 786, 267, 799, 646, 5156, 1131, 3895, 519, 1455, 1434, 543, 16102, 1367, 5191, 563, 3412, 4124, 593, 11572, 7869, 454, 763, 17804, 5784, 540, 519, 1533, 540, 2470, 543, 519, 1514, 4579, 2322, 8521, 676, 20122, 15816, 267, 28676, 267, 543, 681, 28907, 879, 723, 7096, 6286, 593, 2797, 3069, 543, 519, 1909, 540, 2229, 538, 2486, 563, 295, 984, 15816, 685, 3069, 1175, 5809, 513, 2178, 543, 21438, 2229, 609, 6207, 6392, 547, 2226, 1876, 543, 1931, 269, 3571, 2274, 12858, 11936, 4564, 606, 782, 27703, 995, 11769, 602, 6585, 513, 26771, 593, 519, 16048, 946, 540, 3196, 267, 4180, 602, 2043, 798, 711, 18992, 547, 5208, 547, 8207, 7526, 269, 2755, 713, 1106, 540, 2229, 949, 16102, 1996, 519, 14784, 540, 519, 1533, 540, 2470, 267, 621, 849, 12651, 4145, 827, 1761, 28407, 540, 1379, 543, 3668, 540, 1367, 22624, 563, 299, 665, 651, 779, 3069, 267, 593, 519, 824, 1688, 267, 15156, 585, 3908, 2229, 267, 1759, 593, 519, 2856, 602, 922, 6392, 24283, 689, 519, 9844, 540, 519, 18170, 269, 634, 3119, 3483, 540, 713, 2229, 568, 547, 2149, 519, 2067, 2924, 540, 2043, 267, 543, 952, 621, 14543, 547, 798, 865, 267, 519, 1004, 723, 519, 1318, 547, 27693, 543, 3715, 513, 1007, 2229, 269, 901, 1523, 9788, 519, 24536, 585, 12666, 1629, 31097, 267, 10771, 1367, 2924, 543, 519, 2856, 540, 18177, 543, 11347, 2229, 563, 305, 28907, 879, 779, 3069, 2591, 519, 26117, 540, 4357, 3959, 543, 1514, 8635, 267, 5275, 547, 1711, 513, 2486, 11461, 676, 519, 7104, 786, 540, 519, 1004, 269, 1717, 267, 13915, 8044, 602, 1010, 5075, 540, 519, 2489, 786, 1522, 16401, 1367, 23118, 543, 1291, 547, 2101, 9107, 28112, 15967, 563, 1103, 3932, 267, 519, 1533, 540, 2470, 5713, 607, 513, 7811, 1523, 547, 1174, 8103, 779, 840, 27791, 2783, 543, 519, 18144, 585, 9591, 3540, 2486, 269, 20122, 15816, 267, 28676, 267, 543, 681, 28907, 879, 6035, 3982, 5380, 593, 519, 1533, 540, 2470, 267, 10452, 741, 18312, 4978, 827, 1480, 2470, 543, 519, 1909, 540, 2229, 269, 20122, 15816, 685, 533, 612, 574, 2065, 2070, 3366, 1864, 547, 12167, 585, 606, 6207, 2229, 547, 1964, 1778, 1480, 26756, 267, 1247, 28676, 779, 27277, 5483, 1010, 5075, 540, 513, 3908, 2229, 1759, 593, 9844, 543, 519, 4027, 540, 1367, 2924, 269, 681, 28907, 879, 779, 11509, 1242, 1533, 540, 2470, 6273, 1010, 1289, 585, 513, 7104, 1514, 4579, 602, 6322, 547, 11177, 7862, 543, 10103, 563, 763, 9840, 1063, 891, 9565, 17024, 723, 1185, 2484, 23568, 4539, 593, 2797, 3069, 543, 3136, 547, 3310, 2413, 10350, 269, 20122, 15816, 685, 3069, 814, 1044, 1031, 547, 17854, 28974, 20816, 267, 1141, 513, 2178, 3844, 6392, 16401, 525, 1367, 22624, 547, 2226, 1931, 543, 6617, 269, 28676, 779, 2093, 267, 593, 519, 824, 1688, 267, 723, 5129, 513, 2629, 1909, 538, 5935, 519, 5748, 540, 12666, 1629, 31097, 269, 681, 28907, 879, 779, 1523, 540, 519, 2489, 786, 814, 17275, 9840, 827, 519, 3666, 1063, 1367, 23118, 543, 519, 7104, 1434, 563, 8139, 519, 16082, 543, 6286, 540, 741, 6436, 2488, 3407, 4030, 883, 519, 10848, 540, 2797, 6138, 543, 10350, 267, 543, 621, 2591, 721, 547, 2992, 593, 519, 1909, 540, 2229, 538, 17516, 1367, 23118, 1247, 5009, 519, 1455, 1434, 538, 4207, 7239, 563, 295, 984, 15816, 267, 570, 269, 630, 13679, 272, 1040, 2274, 12858, 11936, 269, 5507, 281, 12448, 15867, 5803, 563, 299, 665, 651, 267, 808, 269, 630, 12739, 280, 1040, 5565, 6164, 2478, 540, 6554, 269, 5507, 281, 21220, 985, 5069, 26235, 563, 305, 28907, 879, 267, 808, 11607, 297, 269, 630, 12293, 273, 1040, 634, 4317, 20260, 269, 5507, 281, 717, 269, 667, 269, 543, 808, 269, 20484, 269, 0, 11321, 476, 2420, 476, 1001, 280, 454, 306, 4673, 1773, 28026, 1558, 3627, 28711, 19748, 3000, 538, 476, 6942, 277, 950, 646, 3357, 547, 4993, 547, 1353, 543, 2445, 519, 2199, 2371, 269, 4256, 3838, 1719, 538, 7762, 1415, 1100, 8969, 5129, 513, 851, 538, 741, 2648, 26035, 267, 543, 519, 1079, 941, 9310, 538, 476, 6642, 271, 269, 3627, 4682, 593, 547, 2328, 606, 2272, 540, 741, 24917, 2096, 3019, 538, 476, 6642, 272, 267, 17548, 602, 1010, 7385, 267, 968, 7424, 607, 25981, 543, 607, 13991, 547, 7762, 1415, 607, 594, 267, 729, 519, 1101, 547, 15974, 602, 267, 3079, 540, 519, 8912, 29749, 543, 7199, 3643, 547, 513, 14450, 268, 2897, 267, 7329, 1782, 938, 942, 538, 24631, 1094, 684, 18146, 267, 543, 6947, 547, 25064, 575, 1601, 760, 267, 649, 1058, 7227, 513, 1906, 4374, 267, 1821, 7627, 519, 942, 547, 1353, 282, 1287, 267, 693, 519, 1318, 942, 267, 1118, 513, 6264, 27386, 986, 573, 883, 14151, 267, 543, 2119, 547, 5905, 519, 2295, 540, 13244, 18280, 2088, 3034, 1607, 729, 1100, 6093, 24917, 2096, 3019, 282, 519, 1259, 729, 14869, 543, 2407, 540, 2371, 609, 5247, 985, 543, 838, 1149, 602, 547, 516, 693, 741, 9660, 543, 11251, 2933, 538, 741, 17145, 269, 1358, 4718, 717, 10042, 28749, 543, 678, 25114, 333, 1389, 269, 2353, 540, 741, 3355, 8942, 941, 9087, 6150, 676, 31393, 610, 669, 553, 916, 602, 15286, 873, 689, 2469, 2417, 269, 1358, 5555, 6603, 519, 5207, 8445, 540, 519, 13244, 18280, 21590, 267, 799, 568, 1631, 3957, 6778, 19748, 3000, 267, 538, 30960, 779, 8956, 563, 763, 19748, 332, 976, 8120, 547, 4993, 543, 12306, 538, 18718, 1633, 267, 4259, 909, 519, 19748, 3000, 4173, 321, 10740, 538, 741, 1753, 282, 689, 799, 519, 1079, 14916, 7762, 534, 1242, 519, 4639, 11076, 269, 634, 19748, 332, 976, 2366, 1082, 540, 741, 10070, 547, 519, 1390, 476, 866, 628, 10601, 1977, 7762, 534, 626, 1306, 320, 22630, 585, 8446, 267, 543, 646, 3957, 1082, 2249, 538, 8956, 540, 30960, 543, 3627, 269, 2290, 729, 21862, 807, 20034, 1067, 2801, 267, 2938, 1934, 267, 799, 789, 6394, 1282, 741, 24917, 2096, 3019, 269, 3627, 5747, 538, 476, 5002, 279, 543, 30960, 538, 476, 4572, 274, 269, 4256, 2212, 7723, 14509, 267, 968, 4820, 2996, 538, 7762, 1415, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 288, 696, 3363, 18873, 476, 275, 2725, 692, 21995, 23168, 2329, 270, 23797, 5511, 589, 696, 3363, 692, 4366, 273, 269, 1215, 1082, 1114, 1614, 18251, 2338, 2270, 1312, 519, 7857, 476, 273, 543, 519, 7857, 476, 277, 2496, 630, 320, 264, 476, 7367, 630, 321, 264, 476, 7918, 630, 322, 264, 476, 6321, 630, 323, 264, 476, 2568, 692, 4366, 274, 269, 1306, 851, 540, 513, 1978, 3014, 538, 799, 513, 2780, 6383, 513, 4351, 1297, 1896, 2053, 267, 476, 277, 811, 2338, 3152, 982, 476, 271, 8507, 982, 2338, 1447, 982, 476, 271, 269, 476, 271, 2760, 8507, 269, 1215, 1082, 2053, 729, 519, 1267, 3152, 982, 4642, 888, 263, 272, 264, 476, 273, 811, 2338, 3152, 982, 476, 272, 8507, 982, 2338, 1447, 982, 476, 272, 563, 263, 273, 264, 634, 2040, 540, 782, 519, 2338, 602, 8507, 729, 476, 274, 269, 4037, 780, 630, 320, 264, 15048, 630, 272, 264, 9338, 24535, 568, 6190, 267, 855, 3948, 630, 273, 264, 4805, 568, 711, 6190, 269, 630, 321, 264, 15048, 630, 273, 264, 9338, 24535, 568, 6190, 267, 855, 3948, 630, 272, 264, 4805, 568, 711, 6190, 269, 630, 322, 264, 645, 30862, 6898, 570, 8104, 24518, 2207, 616, 6190, 267, 855, 17252, 18952, 2207, 3948, 9338, 24535, 568, 6190, 269, 630, 323, 264, 32276, 630, 272, 264, 543, 630, 273, 264, 570, 8104, 24518, 2207, 616, 10691, 6190, 780, 307, 5588, 3201, 692, 19547, 9229, 8827, 692, 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, 476, 4375, 476, 2412, 476, 6078, 476, 5655, 476, 6246, 476, 4510, 476, 3393, 476, 5379, 476, 5325, 476, 4366, 476, 5392, 476, 2004, 476, 7906, 476, 7367, 476, 7871, 476, 7918, 476, 4649, 476, 6321, 476, 6872, 476, 6812, 476, 6795, 476, 2568, 476, 8618, 476, 7830, 476, 8287, 476, 5038, 476, 4792, 476, 5780, 476, 6858, 476, 6924, 476, 7597, 476, 3583, 476, 10170, 476, 7761, 476, 10463, 476, 10619, 476, 4037, 476, 10602, 476, 6507, 476, 4281, 476, 8064, 476, 3199, 476, 10037, 476, 11025, 476, 10695, 476, 10019, 476, 5952, 476, 10436, 476, 9262, 476, 6434, 476, 8660, 476, 3445, 476, 11011, 476, 10844, 476, 11152, 476, 11463, 476, 4817, 476, 9834, 476, 9032, 476, 7176, 476, 4200, 476, 1911, 476, 6200, 476, 9083, 476, 9818, 476, 10441, 476, 10755, 476, 11793, 476, 13040, 476, 10482, 476, 11820, 476, 8099, 476, 9340, 476, 12208, 476, 13647, 476, 14625, 476, 12893, 476, 14138, 476, 14056, 476, 14093, 476, 15686, 476, 6344, 476, 13199, 476, 14338, 476, 11277, 476, 14862, 476, 10219, 476, 14695, 476, 14096, 476, 12553, 476, 15782, 476, 9873, 476, 14530, 476, 15171, 476, 15836, 476, 16328, 476, 13670, 476, 15793, 476, 15389, 476, 15946, 476, 16928, 476, 9610, 476, 15221, 476, 16318, 476, 16960, 476, 13893, 476, 13970, 476, 16409, 476, 15704, 476, 16825, 476, 14983, 476, 5611, 476, 14681, 476, 13923, 476, 14631, 476, 15150, 476, 14028, 476, 14444, 476, 14991, 476, 15647, 476, 14689, 476, 8182, 476, 14065, 476, 14341, 476, 14321, 476, 13932, 476, 13679, 476, 14917, 476, 15757, 476, 12739, 476, 15433, 476, 10204, 476, 14378, 476, 15094, 476, 15876, 476, 14690, 476, 11260, 476, 12293, 476, 10082, 476, 9965, 476, 9692, 476, 5197, 476, 8687, 476, 9264, 476, 8146, 476, 7277, 476, 6977, 476, 5908, 476, 6942, 476, 6642, 476, 6245, 476, 5002, 476, 4489, 476, 4572, 476, 4350, 476, 3707, 476, 4198, 476, 3422, 476, 3192, 476, 2735, 476, 1960, 476, 1220, 476, 1001, 476, 1708, 476, 10711, 476, 14225, 476, 13078, 476, 18684, 476, 21709, 476, 21172, 476, 20385, 476, 13975, 476, 21076, 476, 18891, 476, 22659, 476, 20969, 476, 21497, 476, 21327, 476, 24241, 476, 25908, 476, 25546, 476, 13136, 476, 21854, 476, 19442, 476, 23417, 476, 23470, 476, 18597, 476, 26297, 476, 25375, 476, 25248, 476, 26631, 476, 15996, 476, 23211, 476, 22446, 476, 22001, 476, 23056, 476, 20720, 476, 26951, 476, 26801, 476, 24487, 476, 26839, 476, 13301, 476, 25240, 476, 26237, 476, 25838, 476, 28192, 476, 25090, 476, 26727, 476, 26316, 476, 27886, 476, 27149, 476, 7742, 476, 25172, 476, 21857, 476, 26562, 476, 22724, 476, 14838, 476, 16348, 476, 27038, 476, 28670, 476, 28796, 476, 18605, 476, 28360, 476, 26783, 476, 28091, 476, 25784, 476, 25228, 476, 29214, 476, 29045, 476, 28803, 476, 29483, 476, 17734, 476, 27244, 692, 27879, 720, 7335, 7638, 4472, 20603, 6348, 7638, 4472, 20603, 31592, 20603, 4578, 28604, 25705, 30551, 31727, 9978, 23168, 2329, 6168, 2974, 13555, 21041, 8889, 11683, 18873, 14174, 304, 0, 258, 9612, 676, 13445, 692, 2971, 8249, 28562, 609, 15766, 725, 2147, 547, 2806, 1495, 656, 10606, 1384, 23742, 614, 676, 281, 12474, 1826, 912, 21848, 2039, 912, 20806, 3188, 1377, 1384, 2162, 2806, 1495, 656, 10606, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 4366, 568, 1572, 606, 10731, 1297, 1317, 621, 568, 1447, 982, 519, 2040, 540, 922, 2188, 630, 23719, 3294, 1040, 2052, 596, 1265, 930, 811, 10731, 2338, 2496, 2162, 6884, 1284, 700, 846, 12085, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 11039, 1631, 267, 1018, 1131, 4755, 952, 649, 4503, 782, 519, 562, 1149, 538, 938, 1297, 1062, 286, 5620, 513, 979, 693, 1603, 519, 2338, 856, 538, 713, 1259, 543, 723, 513, 1413, 693, 519, 3818, 4124, 3349, 780, 2162, 898, 12984, 476, 1001, 271, 2439, 7462, 6520, 476, 276, 547, 476, 1556, 7420, 5426, 1384, 2252, 519, 2626, 781, 476, 1001, 271, 267, 1018, 1223, 519, 2243, 581, 2496, 2162, 590, 2056, 21998, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 1607, 4161, 12134, 596, 547, 8495, 519, 2698, 1297, 540, 6486, 602, 1131, 581, 2366, 952, 2185, 1453, 6494, 835, 547, 782, 1614, 1866, 269, 1215, 1082, 1131, 581, 2366, 952, 972, 941, 2947, 1453, 286, 14520, 2496, 2162, 18903, 4790, 1218, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 1103, 513, 18903, 12384, 782, 519, 9343, 267, 9587, 543, 32377, 1039, 547, 519, 1412, 300, 20723, 19693, 8339, 1215, 1131, 596, 1689, 519, 9059, 3586, 540, 713, 4009, 2496, 2162, 594, 335, 667, 760, 692, 7462, 6520, 476, 276, 547, 476, 1556, 7420, 5426, 1384, 19285, 335, 16702, 6607, 4544, 256, 5808, 781, 1412, 527, 262, 286, 898, 781, 596, 10590, 7316, 1131, 596, 2990, 3054, 865, 602, 596, 616, 1412, 527, 262, 952, 972, 616, 1079, 5716, 286, 8422, 5716, 3267, 2496, 2162, 13600, 2494, 807, 692, 7462, 6520, 476, 276, 547, 476, 1556, 7420, 5426, 1384, 4692, 596, 1374, 513, 1007, 3337, 585, 519, 8938, 32732, 10945, 543, 6582, 519, 2338, 538, 513, 9266, 1259, 286, 1548, 3270, 798, 596, 5469, 2496, 2162, 25038, 18963, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 1103, 713, 3296, 689, 513, 11706, 267, 2322, 513, 4009, 4216, 1472, 519, 476, 272, 560, 267, 476, 273, 526, 267, 476, 279, 628, 543, 476, 280, 628, 269, 5410, 782, 519, 8424, 540, 2338, 269, 1548, 798, 596, 5469, 827, 519, 4267, 2496, 2162, 2717, 334, 12384, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 6635, 9792, 5216, 540, 519, 2338, 1063, 476, 272, 543, 476, 280, 538, 519, 2717, 334, 12384, 2630, 865, 602, 1142, 2427, 8591, 547, 519, 1482, 2698, 780, 2162, 634, 623, 1221, 13100, 704, 540, 8621, 601, 514, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 1607, 1966, 568, 1759, 593, 519, 1650, 540, 519, 623, 1221, 13100, 704, 540, 8621, 601, 514, 269, 31385, 519, 1114, 2338, 540, 1004, 543, 14148, 972, 1223, 723, 1044, 952, 596, 917, 875, 1082, 7953, 972, 616, 15587, 2439, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 1432, 4523, 950, 596, 1039, 519, 9704, 540, 513, 1297, 1287, 9062, 519, 1267, 676, 476, 273, 543, 596, 1832, 3257, 713, 286, 1411, 1223, 2119, 585, 1114, 2338, 543, 1114, 3652, 780, 2162, 19343, 27148, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 2304, 320, 543, 17664, 6743, 538, 513, 17657, 538, 519, 1140, 545, 269, 1358, 1336, 2025, 27972, 6545, 543, 575, 12495, 267, 22970, 543, 13968, 269, 1215, 1082, 2009, 24853, 1223, 789, 1118, 2496, 2162, 21081, 267, 1215, 6196, 3657, 1411, 2496, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 2691, 24898, 4280, 1010, 20516, 875, 2025, 1352, 568, 267, 646, 4769, 1405, 1205, 513, 3551, 16253, 256, 2052, 596, 960, 856, 875, 2025, 1352, 568, 2496, 2162, 10979, 31201, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 2791, 3112, 3442, 513, 5542, 540, 4672, 8645, 7657, 2293, 602, 2882, 11207, 1018, 2576, 814, 2907, 6074, 269, 5620, 513, 979, 543, 1265, 782, 519, 1114, 2081, 538, 799, 5722, 1453, 666, 723, 4672, 8645, 780, 2162, 1715, 4944, 3639, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 2691, 11356, 3817, 1205, 9674, 693, 1753, 649, 723, 547, 2119, 547, 4990, 873, 856, 543, 1205, 1919, 538, 519, 2953, 1931, 269, 1215, 1082, 2081, 666, 649, 6582, 891, 3817, 865, 602, 519, 1297, 532, 949, 581, 1114, 2496, 2162, 30498, 540, 10606, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 1692, 1082, 1114, 5036, 540, 2338, 609, 693, 2547, 2185, 2818, 666, 596, 1265, 538, 519, 2338, 538, 713, 4216, 2496, 2162, 9335, 9549, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 763, 4161, 1934, 568, 547, 1265, 607, 1082, 11507, 607, 596, 666, 585, 513, 20545, 547, 979, 865, 602, 713, 4884, 568, 5258, 909, 883, 1079, 30556, 267, 1142, 609, 476, 279, 7161, 780, 2162, 3212, 6277, 956, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 20278, 2185, 890, 6277, 956, 593, 519, 5070, 538, 519, 1106, 540, 513, 4009, 269, 5901, 4946, 607, 1906, 890, 6277, 956, 607, 2556, 547, 5595, 519, 1858, 269, 1215, 1082, 3063, 890, 6277, 956, 616, 3773, 1142, 942, 2496, 2162, 9061, 532, 519, 16011, 12384, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 1607, 16602, 4161, 12134, 596, 547, 1265, 2081, 540, 2469, 2066, 25965, 267, 2469, 998, 4010, 4557, 10945, 780, 2162, 7089, 8293, 4100, 692, 7462, 6520, 476, 276, 547, 476, 1556, 7420, 5426, 1384, 9359, 609, 2185, 2338, 693, 519, 15174, 540, 513, 4009, 543, 2322, 519, 2698, 540, 1079, 15174, 538, 519, 1647, 540, 602, 2427, 269, 5901, 2469, 1862, 2052, 596, 7447, 1018, 519, 2450, 540, 519, 2063, 2185, 2338, 786, 581, 2496, 2162, 898, 22955, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 22428, 649, 1450, 6000, 547, 946, 1614, 2338, 1447, 982, 476, 1015, 543, 9062, 873, 1927, 269, 1215, 1082, 1114, 2472, 666, 596, 1265, 286, 1215, 798, 596, 917, 596, 4312, 3893, 873, 782, 2496, 2162, 9335, 14938, 1878, 692, 7462, 6520, 476, 276, 547, 476, 1556, 7420, 5426, 1384, 20059, 580, 622, 1018, 4523, 950, 596, 1039, 2777, 2338, 2059, 513, 8265, 538, 1114, 2081, 780, 2162, 476, 274, 681, 902, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 2252, 596, 723, 1614, 9764, 3615, 267, 596, 1223, 6582, 873, 865, 602, 789, 616, 5094, 267, 15700, 267, 20718, 610, 3330, 1142, 824, 269, 2052, 596, 8495, 782, 519, 1114, 7399, 2496, 2162, 18696, 540, 16199, 1407, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 20059, 580, 622, 713, 3666, 799, 568, 6825, 538, 30556, 269, 1403, 596, 1185, 513, 2597, 593, 519, 2451, 11804, 476, 278, 267, 1141, 1223, 596, 13793, 1079, 12035, 593, 519, 1318, 547, 1118, 621, 3666, 2496, 2162, 2142, 534, 645, 4711, 585, 24527, 781, 20045, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 1692, 1223, 596, 2322, 5216, 21167, 321, 4711, 538, 519, 11876, 3591, 865, 602, 972, 616, 2185, 538, 519, 4544, 11876, 641, 267, 2947, 538, 519, 2699, 543, 3670, 538, 519, 5835, 286, 2052, 596, 1265, 782, 519, 2081 ]

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

[ 3564, 519, 9165, 540, 713, 1353, 267, 519, 4152, 540, 519, 970, 839, 2225, 607, 851, 540, 938, 1101, 8367, 568, 3908, 547, 1106, 6819, 11134, 10832, 1759, 593, 7422, 538, 513, 2582, 1353, 1858, 563, 268, 962, 4526, 476, 10522, 602, 972, 568, 513, 2582, 267, 1134, 20452, 4756, 602, 666, 581, 18505, 1042, 689, 1114, 1239, 2959, 267, 799, 568, 711, 519, 2013, 538, 3964, 3332, 2901, 609, 5117, 8699, 610, 609, 2916, 1689, 269, 2755, 971, 513, 4756, 568, 3989, 538, 519, 6396, 1670, 17563, 998, 519, 946, 540, 7379, 4994, 267, 621, 814, 711, 2943, 1044, 1031, 547, 21656, 18904, 308, 6938, 476, 1220, 271, 6870, 2127, 630, 10175, 938, 1353, 1858, 1916, 268, 634, 1932, 1804, 4336, 540, 1239, 6508, 689, 2916, 3631, 630, 324, 977, 1947, 519, 3003, 1353, 1858, 568, 4988, 676, 513, 1507, 1297, 540, 19641, 264, 2306, 873, 1932, 21432, 585, 12747, 4393, 2394, 6325, 17498, 322, 2718, 568, 2919, 12544, 1966, 5185, 1256, 538, 1239, 3638, 2127, 899, 519, 4872, 602, 991, 811, 2143, 20327, 547, 10994, 4683, 3002, 10195, 630, 1492, 7965, 540, 17498, 322, 2718, 2916, 3631, 616, 7805, 689, 519, 10471, 8693, 25159, 585, 20079, 538, 2342, 689, 476, 1220, 279, 547, 476, 1001, 278, 12544, 1788, 602, 2838, 1796, 29671, 20592, 267, 814, 2362, 2199, 10462, 543, 568, 15151, 1100, 3476, 9738, 269, 634, 10471, 568, 2139, 2228, 693, 4179, 2517, 322, 1091, 17085, 1493, 6983, 641, 1716, 16307, 4318, 340, 11305, 1091, 1952, 26611, 323, 21648, 564, 270, 3974, 268, 18076, 12641, 1493, 2275, 885, 286, 339, 629, 284, 1478, 1613, 630, 17739, 539, 593, 476, 1704, 4728, 476, 1708, 273, 264, 1916, 268, 14825, 730, 1239, 12760, 998, 3684, 1565, 610, 3642, 3335, 3096, 1164, 22822, 2592, 610, 5812, 2582, 268, 1815, 4722, 1239, 3126, 1496, 5780, 267, 6858, 3910, 610, 15824, 6901, 609, 2666, 5168, 1702, 538, 26940, 14449, 1496, 6924, 267, 7597, 4940, 634, 8545, 849, 28511, 9186, 538, 5690, 545, 1239, 12760, 676, 1373, 3810, 10236, 12510, 878, 630, 7945, 607, 2073, 543, 519, 14449, 20926, 972, 514, 267, 2475, 8585, 1027, 630, 10674, 2517, 933, 324, 32607, 269, 9679, 269, 1075, 1067, 1027, 12975, 7933, 21648, 1115, 270, 1633, 2224, 11258, 630, 17739, 539, 593, 476, 1704, 4728, 476, 1708, 273, 4297, 1070, 5059, 593, 2666, 5168, 21458, 513, 2582, 5117, 1496, 10170, 267, 7761, 316, 610, 3622, 21458, 513, 2582, 4756, 585, 513, 2016, 4305, 630, 267, 519, 19384, 6995, 10471, 630, 4178, 4877, 11128, 334, 6155, 764, 269, 18860, 16936, 269, 1962, 7933, 5877, 338, 270, 3630, 7588, 1014, 18396, 6332, 1673, 21648, 564, 270, 630, 17739, 539, 593, 476, 1704, 4728, 476, 1708, 273, 1070, 3092, 12175, 769, 4334, 267, 938, 6552, 15392, 1239, 568, 23661, 267, 540, 1114, 6571, 936, 942, 267, 8185, 21678, 543, 1281, 711, 1106, 513, 2834, 1239, 3126, 602, 6227, 519, 5993, 10664, 2208, 9979, 269, 4706, 606, 322, 16736, 2666, 1239, 568, 849, 23661, 543, 21678, 269, 5015, 267, 5251, 1377, 8760, 1519, 811, 982, 835, 5117, 1826, 568, 811, 2352, 5690, 1227, 1813, 547, 3606, 9186, 3361, 676, 519, 1114, 4336, 610, 1858, 540, 5251, 2934, 8204, 1114, 8134, 543, 741, 6041, 538, 513, 3908, 1297, 540, 9682, 13164, 269, 1280, 1383, 267, 8933, 543, 1507, 5251, 3029, 267, 899, 1507, 29762, 2934, 30939, 538, 930, 2665, 1447, 982, 835, 18920, 267, 991, 1808, 10868, 1114, 689, 519, 4393, 540, 6552, 15392, 1239, 585, 10664, 2527, 1161, 899, 4104, 543, 31922, 282, 891, 616, 538, 2490, 1447, 24267, 982, 5186, 680, 663, 1395, 665, 30743, 269, 7053, 2943, 11932, 267, 922, 2244, 3382, 630, 663, 519, 12119, 2244, 3382, 6384, 264, 568, 3833, 1114, 689, 519, 4540, 13042, 14449, 267, 865, 4483, 1565, 1131, 581, 2352, 547, 7543, 563, 273, 269, 274, 269, 4578, 543, 4706, 14409, 454, 273, 269, 274, 269, 272, 269, 12197, 4578, 454, 268, 1239, 689, 519, 4013, 6694, 13564, 344, 6106, 585, 4400, 7849, 10025, 27892, 26377, 14718, 585, 7616, 543, 2965, 14102, 630, 26238, 476, 1001, 276, 264, 630, 13750, 11982, 8750, 267, 1569, 3652, 693, 4179, 2517, 4178, 269, 4206, 345, 12500, 326, 11486, 326, 270, 1088, 12921, 739, 641, 753, 7288, 1790, 1794, 7568, 328, 24578, 7315, 714, 14741, 4882, 1041, 8548, 20488, 7933, 665, 5346, 268, 636, 331, 268, 274, 268, 273, 270, 630, 17739, 539, 593, 476, 1704, 4728, 476, 1708, 273, 4917, 268, 1239, 689, 519, 2627, 1216, 5464, 896, 519, 4826, 17563, 6034, 633, 607, 8659, 538, 519, 5211, 19438, 5004, 4643, 476, 1001, 274, 1700, 1001, 276, 630, 288, 3844, 6538, 568, 9738, 676, 519, 15445, 5113, 10837, 267, 811, 693, 5291, 2517, 2465, 320, 3052, 17922, 12500, 326, 11486, 326, 270, 985, 21573, 270, 4248, 630, 17739, 539, 593, 476, 1704, 4728, 476, 1708, 273, 264, 630, 514, 10089, 326, 4115, 1152, 4917, 268, 2361, 10344, 1239, 5833, 676, 519, 1291, 2278, 1210, 513, 20473, 538, 519, 1974, 476, 1001, 277, 1700, 1001, 278, 454, 268, 12326, 630, 289, 1180, 5271, 267, 476, 1960, 272, 264, 476, 607, 7857, 1242, 538, 476, 1001, 274, 282, 824, 3621, 12326, 593, 5117, 2783, 585, 519, 1353, 1858, 454, 268, 3037, 4786, 630, 2750, 1815, 5737, 5113, 10837, 264, 630, 1492, 27034, 585, 713, 10471, 568, 2139, 693, 5291, 2517, 2465, 320, 3052, 17922, 12500, 326, 11486, 326, 270, 985, 21573, 4882, 335, 9545, 7288, 270, 8967, 9545, 6390, 318, 1708, 271, 270, 31542, 630, 17739, 539, 593, 476, 1704, 4728, 476, 1708, 273, 264, 630, 514, 10089, 326, 4115, 1152, 994, 268, 1483, 6066, 4104, 1344, 1062, 9738, 676, 519, 15445, 32645, 10837, 543, 13431, 293, 5174, 592, 29333, 543, 5627, 1239, 593, 2025, 7733, 267, 2244, 946, 7154, 267, 19883, 14998, 543, 24921, 712, 1027, 1344, 593, 12150, 885, 4080, 676, 13538, 630, 1613, 693, 4179, 2517, 326, 529, 269, 2346, 325, 12500, 326, 8276, 984, 559, 345, 32551, 15600, 593, 476, 1704, 4728, 476, 1708, 273, 1916, 273, 269, 274, 269, 273, 269, 22647, 11576, 532, 4578, 543, 15733, 454, 273, 269, 274, 269, 274, 269, 8693, 4578, 454, 273, 269, 274, 269, 275, 269, 4578, 14409, 4518, 6503, 454, 3682, 22422, 540, 17266, 13096, 553, 1115, 454, 268, 5623, 543, 5542, 540, 10207, 689, 1312, 8596, 269, 2755, 9682, 13485, 5781, 8038, 936, 938, 1353, 1858, 267, 621, 1419, 568, 31063, 610, 5134, 344, 267, 543, 538, 930, 1296, 972, 568, 6777, 538, 2694, 540, 621, 1134, 883, 2904, 269, 4475, 267, 649, 1185, 547, 1688, 335, 1157, 5078, 10207, 630, 4289, 539, 538, 7305, 590, 275, 538, 4675, 11915, 10049, 1040, 10251, 267, 891, 10207, 798, 711, 18113, 3382, 782, 10664, 12405, 609, 9682, 11052, 269, 4634, 538, 519, 1688, 335, 17673, 10207, 602, 649, 5659, 538, 713, 1353, 267, 972, 616, 1869, 930, 6531, 539, 2127, 630, 6665, 1043, 538, 519, 7301, 2681, 11904, 902, 538, 22955, 590, 278, 324, 267, 590, 280, 323, 267, 590, 1015, 320, 28504, 267, 590, 1321, 320, 267, 327, 267, 590, 1724, 323, 543, 590, 1626, 323, 267, 326, 25814, 540, 519, 4675, 11915, 10049, 543, 7612, 476, 276, 1040, 9122, 593, 6531, 3795, 13968, 936, 519, 1353, 1858, 543, 3606, 3308, 2689, 267, 649, 5697, 513, 1305, 540, 476, 3451, 9682, 10207, 609, 8766, 547, 1100, 6531, 3795, 267, 3144, 1369, 513, 942, 7406, 540, 476, 5655, 1296, 3248, 268, 12861, 12432, 2592, 5627, 19706, 13164, 540, 519, 2592, 269, 769, 713, 1900, 649, 1031, 18317, 291, 3008, 476, 1691, 269, 271, 3301, 563, 268, 12861, 513, 678, 2120, 3758, 540, 1142, 6429, 5627, 519, 9351, 540, 9314, 630, 288, 302, 296, 1070, 1775, 4318, 1421, 1353, 1858, 10465, 563, 268, 6726, 566, 540, 17886, 689, 519, 5697, 10207, 269, 1284, 7229, 16453, 1242, 16338, 17164, 566, 12039, 630, 21254, 9654, 264, 585, 782, 476, 3451, 10207, 543, 3812, 678, 2120, 6119, 269, 24771, 14924, 520, 8596, 609, 7864, 13164, 798, 711, 1450, 12719, 27020, 310, 296, 543, 4061, 538, 476, 1321, 540, 519, 14924, 520, 9049, 296, 9682, 10207, 649, 1223, 711, 3489, 519, 2418, 540, 713, 4994, 563, 15899, 268, 11749, 9179, 540, 2353, 12232, 4578, 454, 268, 2311, 519, 23066, 1377, 267, 649, 2263, 3347, 1063, 1761, 1007, 6724, 6508, 689, 6552, 15392, 543, 2916, 3631, 267, 543, 519, 13525, 789, 4766, 269, 901, 1935, 2636, 585, 7114, 543, 3981, 532, 4244, 8343, 2553, 585, 519, 1482, 13525, 630, 5408, 7305, 590, 274, 540, 519, 4675, 11915, 10049, 1040, 9061, 23343, 2320, 908, 971, 1239, 2959, 547, 2697, 741, 6111, 267, 7893, 5117, 6724, 666, 948, 547, 3715, 873, 607, 8925, 547, 2361, 8343, 1239, 630, 1492, 32301, 540, 7422, 585, 1114, 5117, 2010, 568, 851, 540, 5571, 960, 538, 519, 3864, 7043, 31645, 23270, 3194, 8416, 543, 11451, 538, 1896, 7341, 269, 1306, 971, 267, 7900, 621, 568, 4867, 3544, 540, 713, 1957, 779, 9165, 1040, 5015, 267, 9148, 532, 519, 6396, 1670, 17563, 609, 3047, 8343, 543, 2916, 20592, 2636, 721, 547, 1413, 693, 513, 3677, 4336, 5251, 24463, 543, 3362, 12398, 519, 1034, 29858, 4657, 2127, 540, 1719, 971, 607, 519, 4104, 3235, 582, 821, 610, 2127, 609, 4028, 2242, 538, 2249, 3892, 269, 769, 713, 6073, 1239, 1071, 20400, 693, 519, 23066, 1377, 2636, 585, 1210, 519, 5348, 25489, 1063, 2139, 1239, 689, 782, 2959, 547, 1312, 7747, 2242, 538, 519, 2898, 1858, 540, 1719, 543, 2697, 1445, 2127, 585, 8343, 4398, 267, 1312, 1369, 519, 1482, 12497, 5943, 269, 634, 23066, 16046, 849, 2636, 721, 547, 9192, 1239, 6140, 1644, 547, 5117, 6708, 543, 1239, 3335, 1031, 547, 1353, 5117, 2175, 676, 7311, 8733, 1702, 547, 18505, 519, 6402, 1063, 6708, 543, 2783, 563, 268, 2311, 519, 23835, 1108, 1377, 267, 649, 13182, 4882, 29347, 1518, 519, 3444, 19789, 802, 1063, 7226, 1826, 1239, 538, 519, 26216, 6538, 543, 5117, 2010, 267, 607, 10858, 547, 713, 1808, 1353, 1858, 269, 634, 3444, 19789, 802, 616, 3964, 607, 513, 835, 3562, 2173, 1415, 2078, 538, 519, 9757, 5117, 11837, 16097, 1765, 30672, 540, 519, 6396, 1670, 17563, 1496, 2004, 267, 7906, 267, 7367, 267, 7871, 267, 7918, 22049, 1294, 7612, 476, 277, 320, 269, 7638, 2305, 5161, 540, 513, 2520, 648, 325, 22235, 2070, 540, 2139, 1239, 585, 9249, 543, 606, 593, 7308, 1606, 13607, 2638, 540, 9757, 5117, 1826, 4882, 889, 6943, 2348, 538, 2247, 519, 2949, 5117, 2497, 269, 634, 1377, 540, 1469, 540, 519, 3444, 19769, 5673, 593, 519, 1894, 540, 1114, 10297, 540, 2139, 1239, 2687, 547, 1114, 28944, 538, 519, 3444, 19769, 269, 1280, 1383, 267, 519, 32067, 1178, 1441, 7226, 2978, 2454, 540, 513, 20372, 2636, 585, 4142, 24976, 519, 1071, 32242, 5117, 1016, 6943, 610, 1826, 8760, 585, 519, 1482, 20372, 1247, 1239, 593, 519, 5117, 1826, 1281, 711, 8850, 14377, 547, 5117, 1016, 18196, 610, 9249, 543, 3335, 3340, 2417, 2361, 15418, 543, 5924, 1071, 20400, 609, 824, 2139, 1239, 269, 1261, 987, 1633, 543, 21906, 8134, 616, 9138, 538, 519, 26216, 6538, 547, 723, 18237, 639, 544, 1872, 334, 607, 741, 8789, 2249, 543, 941, 4061, 10924, 547, 581, 540, 519, 968, 6635, 8157, 267, 620, 18090, 543, 1016, 531, 18090, 21906, 892, 5117, 1016, 6943, 269, 1677, 7753, 519, 7687, 540, 4540, 1239, 593, 26377, 267, 649, 9916, 519, 26216, 6538, 779, 1344, 593, 15038, 267, 9386, 267, 1163, 3789, 543, 3037, 2010, 630, 1492, 8545, 1373, 849, 20240, 1210, 519, 8760, 538, 519, 15445, 5113, 10837, 779, 3037, 1826, 4494, 1040, 1284, 1287, 3989, 519, 2009, 5117, 1826, 607, 1325, 18090, 543, 1016, 531, 18090, 26377, 1759, 593, 24347, 565, 13960, 1696, 620, 269, 630, 1001, 278, 264, 476, 543, 606, 10002, 21242, 7664, 1883, 3812, 1282, 519, 11837, 543, 4879, 540, 31922, 8134, 538, 476, 1001, 276, 1700, 1001, 278, 676, 519, 1482, 4589, 563, 268, 2311, 519, 27696, 1377, 267, 649, 25146, 5033, 656, 1227, 543, 23835, 10999, 15095, 14449, 547, 13182, 519, 8367, 602, 2916, 1689, 3123, 2242, 538, 5117, 8901, 3892, 1369, 519, 5251, 24463, 543, 5117, 2783, 270, 10818, 532, 936, 942, 267, 1519, 1689, 538, 2249, 5888, 269, 1284, 946, 519, 8901, 3892, 540, 5117, 2010, 538, 713, 3444, 19769, 6508, 689, 9647, 334, 14428, 9369, 543, 4104, 6538, 1239, 267, 1927, 609, 10515, 1716, 16307, 670, 12435, 2472, 585, 31922, 3892, 543, 4104, 3529, 3382, 5860, 585, 476, 1001 ]

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

[ 1814, 1562, 723, 1950, 1514, 3889, 543, 2189, 2081, 540, 14379, 609, 1142, 824, 269, 2913, 781, 4685, 883, 519, 1158, 540, 29160, 2950, 543, 1451, 827, 1018, 2306, 873, 865, 2027, 780, 4089, 476, 272, 281, 1548, 616, 8293, 597, 7758, 18877, 888, 288, 29160, 2146, 4016, 547, 513, 1895, 540, 25277, 2713, 1927, 538, 513, 1880, 1858, 269, 2755, 930, 2249, 540, 25277, 616, 22072, 267, 1866, 2661, 538, 1804, 2516, 1572, 10125, 610, 10136, 269, 10738, 891, 2950, 267, 25277, 3715, 25327, 267, 5968, 1210, 1585, 6786, 267, 543, 960, 1927, 547, 1265, 1426, 543, 2149, 2933, 780, 7078, 281, 8109, 12457, 25277, 1419, 1106, 1507, 2950, 1141, 789, 2671, 2200, 899, 4054, 543, 3276, 4900, 269, 1358, 666, 5431, 1367, 2818, 1369, 741, 12733, 998, 20416, 16287, 543, 13047, 3074, 780, 4089, 476, 273, 281, 9537, 540, 8293, 597, 7758, 5081, 7724, 454, 2467, 616, 1079, 1292, 2010, 540, 29160, 7239, 910, 818, 321, 648, 531, 543, 18714, 269, 1488, 321, 648, 531, 25277, 6108, 1034, 540, 741, 942, 538, 4054, 267, 1247, 18714, 25277, 4782, 547, 3251, 593, 519, 2666, 269, 3962, 1826, 814, 922, 1378, 1259, 540, 12180, 3294, 13998, 780, 7078, 281, 674, 2391, 25277, 4866, 547, 519, 818, 321, 648, 531, 7121, 607, 789, 1350, 728, 1063, 4054, 269, 1358, 4043, 547, 2661, 538, 1920, 2516, 9967, 540, 513, 544, 730, 6292, 543, 741, 15556, 269, 2201, 519, 824, 1688, 267, 2666, 25277, 267, 971, 607, 31403, 5243, 267, 616, 3810, 1514, 2831, 945, 2661, 538, 3573, 11895, 15993, 1949, 1634, 607, 2112, 27231, 780, 4089, 476, 274, 281, 1215, 8293, 597, 14843, 4004, 6510, 454, 306, 9595, 14843, 946, 1114, 2409, 547, 5968, 609, 835, 1776, 267, 1519, 1560, 1893, 267, 13047, 3074, 267, 543, 3114, 6786, 269, 1280, 1383, 267, 950, 12219, 267, 513, 29160, 949, 2895, 922, 1394, 267, 2770, 742, 856, 922, 2766, 267, 543, 669, 2660, 10978, 569, 547, 24633, 1866, 540, 8594, 269, 6684, 267, 25277, 6299, 741, 8188, 1996, 3615, 547, 4734, 3297, 741, 2123, 20416, 267, 799, 2337, 873, 5431, 8284, 2146, 2818, 780, 12244, 22830, 281, 8073, 707, 1378, 29160, 2792, 1062, 1210, 2241, 17267, 543, 4992, 269, 11559, 15032, 547, 7058, 1018, 5048, 596, 2811, 3843, 547, 6655, 2439, 4089, 476, 275, 281, 634, 11957, 540, 4197, 8293, 597, 7758, 18877, 454, 3528, 4974, 29160, 2950, 267, 3744, 2744, 3407, 4030, 883, 3662, 2623, 267, 14498, 267, 543, 5726, 3646, 269, 9866, 6326, 875, 25277, 2170, 609, 1142, 824, 543, 741, 1604, 2488, 1898, 1344, 585, 5883, 4683, 7320, 5095, 543, 8497, 2067, 9249, 780, 27287, 15154, 7726, 281, 4208, 798, 596, 1589, 621, 781, 1271, 547, 1353, 29160, 2950, 286, 2052, 596, 2097, 909, 609, 1022, 1483, 8996, 3156, 1759, 593, 707, 1620, 540, 741, 1514, 2497, 543, 2792, 2409, 2496, 310, 1905, 5455, 912, 306, 9595, 7758, 2950, 1522, 3100, 899, 1175, 513, 19619, 540, 20036, 1814, 1562, 4730, 538, 519, 6288, 267, 855, 789, 723, 6946, 1514, 3889, 543, 10427, 1797, 540, 2792, 269, 1635, 1565, 827, 891, 4241, 2831, 267, 649, 1020, 513, 4514, 7071, 585, 2470, 543, 519, 2956, 540, 25137, 938, 4541, 781, 9265, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 310, 902, 540, 3595, 2433, 513, 3391, 547, 519, 15743, 1158, 1315, 676, 570, 14241, 570, 269, 590, 9801, 1633, 6902, 11609, 676, 20717, 4911, 6902, 7851, 543, 3606, 1148, 676, 19375, 5576, 2917, 6902, 3606, 2681, 676, 8575, 21840, 700, 2967, 14833, 563, 268, 9768, 281, 476, 7818, 15836, 279, 8287, 4366, 273, 273, 454, 268, 8447, 13517, 281, 476, 26631, 3817, 2433, 2681, 12383, 267, 2681, 7851, 6902, 476, 2537, 4699, 563, 268, 21629, 281, 1715, 3840, 2433, 7647, 2880, 4964, 267, 3097, 268, 14645, 281, 9736, 1708, 274, 454, 268, 27010, 10748, 1466, 281, 476, 31275, 299, 22858, 850, 454, 15507, 585, 1644, 3688, 676, 1641, 454, 347, 20428, 10573, 291, 4048, 976, 3436, 19565, 5708, 563, 2304, 7769, 267, 19088, 673, 3436, 19565, 5708, 563, 300, 20723, 3436, 19565, 5708, 563, 14187, 543, 9409, 3436, 19565, 5708, 563, 303, 23393, 2886, 3436, 19565, 5708, 563, 3412, 698, 2435, 4025, 3436, 19565, 5708, 563, 15507, 585, 1644, 3688, 676, 3126, 454, 268, 476, 274, 540, 476, 275, 12215, 2139, 693, 3117, 24832, 540, 11882, 23905, 269, 630, 17004, 994, 268, 476, 271, 540, 476, 272, 5299, 2139, 693, 7991, 7732, 630, 26422, 12064, 1916, 268, 476, 271, 1699, 6585, 609, 476, 275, 2698, 12215, 1701, 780, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 16337, 1315, 12292, 1315, 8293, 597, 14843, 1315, 8293, 597, 7758, 18877, 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, 8080, 547, 938, 3203, 30930, 256, 4653, 267, 649, 2811, 2469, 547, 4685, 883, 519, 1158, 540, 15513, 8325, 2287, 2553, 607, 851, 540, 938, 15513, 5373, 3408, 269, 594, 914, 596, 4769, 1405, 1589, 972, 1223, 581, 865, 1454, 547, 1451, 827, 1945, 607, 2241, 607, 8325, 2287, 513, 15513, 267, 855, 3972, 803, 267, 13215, 891, 1983, 786, 1491, 707, 11247, 547, 519, 1985, 1377, 269, 1924, 10544, 707, 5172, 15513, 543, 1577, 781, 1205, 3323, 2439, 1262, 3963, 1281, 8325, 2287, 2339, 15140, 5970, 596, 2479, 6836, 1210, 513, 20585, 15513, 547, 1711, 513, 4190, 26484, 1858, 538, 707, 5373, 286, 1403, 865, 267, 596, 4440, 8068, 875, 2352, 621, 729, 547, 3035, 1256, 3795, 269, 589, 8325, 1448, 2636, 721, 547, 1852, 938, 3515, 1732, 543, 1039, 32067, 3877, 609, 8897, 269, 3958, 267, 950, 2324, 609, 1114, 2010, 540, 27948, 22796, 630, 6518, 2039, 689, 670, 547, 476, 280, 289, 1070, 2348, 513, 1134, 6879, 17369, 2989, 1907, 5849, 5812, 7436, 2429, 707, 4062, 780, 1262, 10048, 783, 5288, 11272, 26588, 5155, 518, 16001, 2467, 616, 1079, 1292, 5686, 540, 32260, 619, 1107, 8261, 543, 3167, 269, 15015, 32260, 619, 2097, 538, 1585, 5546, 543, 7306, 267, 1247, 3167, 8747, 2154, 9075, 610, 5201, 269, 5637, 723, 741, 5383, 4470, 593, 707, 2115, 1384, 265, 2878, 10048, 783, 26588, 5155, 619, 5093, 32285, 267, 15409, 267, 543, 9602, 269, 2368, 6272, 1450, 585, 811, 5730, 5086, 11941, 1932, 256, 1717, 267, 789, 949, 3006, 3132, 19514, 2164, 952, 711, 17411, 5402, 563, 265, 2878, 25821, 26588, 5155, 619, 5093, 16258, 543, 3608, 269, 2060, 1175, 835, 7903, 540, 513, 7735, 267, 596, 1205, 513, 9985, 11329, 15513, 1169, 942, 256, 1809, 1832, 538, 2247, 602, 789, 4043, 547, 581, 11720, 1512, 543, 21514, 1457, 982, 8261, 3681, 780, 1262, 4537, 17369, 2287, 17778, 1299, 9669, 16001, 5591, 2339, 799, 1826, 540, 32260, 518, 596, 3442, 267, 1246, 891, 3268, 585, 6099, 2164, 1384, 272, 269, 7994, 519, 3617, 8559, 2450, 585, 707, 15513, 8006, 269, 4635, 519, 4636, 6679, 1522, 3441, 707, 15513, 610, 2014, 22522, 2798, 563, 273, 269, 15579, 519, 32260, 518, 16119, 1996, 513, 3349, 6316, 610, 6366, 2627, 547, 24644, 621, 1282, 946, 563, 274, 269, 20405, 569, 7696, 707, 15513, 883, 519, 32260, 518, 267, 7311, 9543, 2604, 2394, 596, 1745, 4187, 269, 3973, 6335, 1394, 543, 8521, 1896, 2053, 2394, 13854, 609, 519, 3259, 540, 519, 6534, 1291, 563, 275, 269, 6744, 707, 3356, 5781, 676, 9900, 25738, 1055, 1022, 11935, 689, 519, 9133, 269, 5269, 2386, 519, 1291, 3884, 1405, 7745, 610, 19514, 563, 276, 269, 11408, 1167, 731, 1022, 3574, 695, 822, 902, 1310, 8325, 2287, 547, 2061, 24571, 3101, 909, 519, 19059, 780, 2080, 616, 930, 3606, 4388, 585, 1808, 7653, 1384, 265, 2608, 2252, 707, 15513, 8952, 8840, 17041, 8347, 4657, 519, 1259, 596, 17945, 519, 15513, 1247, 6335, 532, 621, 538, 519, 32260, 518, 269, 15233, 1447, 3196, 267, 543, 1445, 593, 4509, 513, 11931, 5163, 3079, 269, 4746, 267, 2327, 596, 4312, 6074, 519, 2953, 8559, 2450, 585, 707, 15513, 563, 265, 2608, 2690, 1279, 18835, 2798, 17041, 2422, 513, 2582, 5347, 5163, 950, 8325, 2287, 2864, 982, 2789, 2110, 18116, 269, 901, 2337, 8190, 519, 8699, 540, 519, 11308, 524, 2084, 1472, 519, 1291, 780, 3528, 1739, 891, 4808, 543, 8026, 9639, 267, 596, 3513, 4166, 1831, 513, 605, 693, 15513, 8325, 2287, 256, 5457, 267, 2921, 1434, 1416, 540, 707, 2645, 5012, 547, 10875, 11247, 543, 3108, 540, 17140, 6954, 5876, 269, 8414, 5373, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21893, 2376, 786, 2285, 513, 2143, 7291, 540, 799, 22796, 616, 1655, 9280, 547, 948, 596, 2721, 513, 17855, 269, 1306, 649, 8661, 519, 3675, 903, 540, 16287, 267, 5373, 267, 6516, 2719, 267, 12719, 267, 2144, 2084, 267, 23646, 1524, 267, 543, 1818, 9073, 267, 519, 4096, 762, 15513, 568, 1318, 1934, 693, 938, 2427, 269, 1358, 616, 1152, 2139, 607, 14167, 22796, 267, 543, 616, 811, 7199, 269, 898, 779, 1759, 593, 5022, 630, 22764, 540, 873, 264, 543, 2338, 630, 273, 268, 280, 1040, 4077, 19254, 22796, 910, 22796, 8032, 899, 16853, 543, 1500, 540, 23315, 543, 1031, 538, 1148, 269, 1452, 616, 2356, 13042, 689, 476, 273, 295, 547, 476, 277, 289, 269, 8381, 523, 22796, 616, 20522, 267, 865, 9561, 610, 4687, 568, 1100, 1966, 269, 634, 476, 275, 289, 15513, 568, 5594, 14402, 982, 519, 3283, 1354, 621, 543, 568, 849, 606, 5140, 3903, 585, 11516, 4221, 543, 5373, 5301, 269, 1452, 2645, 267, 2705, 267, 666, 798, 1454, 811, 982, 2681, 3330, 3515, 269, 9208, 8641, 924, 6755, 15078, 269, 1684, 596, 917, 1018, 513, 30040, 3009, 568, 286, 901, 568, 1317, 519, 2362, 1297, 540, 645, 602, 513, 15513, 568, 267, 519, 29779, 519, 15513, 786, 581, 269, 634, 2048, 295, 685, 22796, 616, 3622, 1360, 2182, 267, 543, 789, 616, 2111, 547, 3180, 513, 9133, 538, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 303, 523, 4290, 1744, 17369, 2287, 9828, 257, 607, 851, 540, 834, 11286, 1315, 9828, 1315, 6755, 4290, 14301, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 769, 2221, 781, 1158, 267, 519, 1909, 540, 2257, 543, 2029, 3609, 814, 1831, 5051, 1271, 1813, 547, 922, 1764, 593, 1585, 3344, 540, 2486, 267, 1519, 2804, 2208, 267, 3084, 3354, 267, 543, 2825, 4027, 269, 2290, 2565, 2460, 540, 713, 2361, 602, 19262, 3007, 568, 25827, 16296, 7126, 630, 7709, 305, 264, 3609, 267, 3226, 1369, 3486, 16395, 593, 2152, 899, 2916, 1689, 269, 634, 1739, 6810, 786, 5490, 883, 519, 14960, 540, 7379, 305, 4507, 538, 519, 2796, 540, 1857, 3609, 543, 2257, 1299, 2029, 267, 1210, 519, 10854, 330, 758, 8693, 7827, 13669, 802, 540, 476, 1220, 279, 607, 513, 2013, 1353, 780, 2162, 4197, 25827, 16296, 7126, 630, 7709, 305, 264, 8889, 692, 4263, 922, 4295, 267, 7214, 3959, 4016, 547, 13144, 540, 519, 2247, 267, 971, 607, 18563, 282, 5339, 543, 7499, 1568, 282, 6698, 267, 4408, 267, 543, 2592, 1031, 538, 16450, 282, 543, 3621, 8906, 269, 25827, 3959, 2924, 616, 3656, 1303, 1856, 906, 11292, 547, 2043, 610, 9988, 945, 1711, 891, 30608, 7221, 267, 3246, 873, 12600, 1852, 936, 741, 946, 267, 12093, 267, 3892, 267, 543, 5010, 1436, 269, 1452, 2924, 5000, 5647, 543, 5876, 1247, 4180, 1697, 13180, 585, 15888, 543, 9520, 269, 1703, 616, 1896, 2010, 540, 7379, 20745, 267, 1519, 24977, 267, 5299, 23412, 267, 30931, 267, 4123, 11580, 267, 543, 10923, 10832, 780, 15031 ]

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

[ 842, 285, 26514, 1989, 815, 1007, 5903, 283, 842, 285, 314, 2918, 22049, 5897, 585, 630, 842, 1775, 301, 815, 476, 271, 282, 1775, 301, 2999, 476, 2918, 282, 1775, 301, 10030, 10142, 1989, 5157, 301, 316, 815, 1007, 5903, 283, 842, 285, 3890, 282, 5897, 476, 5897, 12262, 7755, 659, 1890, 5119, 5897, 536, 944, 314, 267, 316, 6316, 815, 1007, 536, 944, 314, 2918, 267, 476, 2918, 22049, 5897, 476, 5897, 12262, 3355, 2358, 7755, 659, 1890, 5119, 5897, 585, 630, 842, 737, 815, 476, 271, 282, 737, 2999, 476, 2918, 282, 737, 10030, 10142, 585, 630, 842, 561, 815, 476, 271, 282, 561, 2999, 476, 2918, 282, 561, 10030, 10142, 6316, 25208, 267, 561, 316, 815, 7301, 282, 5897, 476, 5897, 12262, 2870, 7755, 659, 1890, 1592, 5897, 585, 630, 842, 737, 815, 476, 271, 282, 737, 2999, 521, 11482, 2654, 282, 737, 10030, 264, 476, 5897, 2715, 5897, 12262, 11319, 2451, 11105, 1605, 12661, 339, 585, 4994, 1412, 330, 262, 5897, 952, 630, 330, 910, 476, 272, 13843, 476, 271, 30974, 8206, 8354, 314, 338, 25208, 316, 910, 476, 9032, 267, 521, 25208, 910, 476, 272, 316, 910, 476, 9032, 8079, 476, 5897, 2715, 5897, 1989, 314, 338, 25208, 316, 910, 476, 9032, 4940, 11754, 4433, 25208, 910, 476, 272, 316, 910, 476, 9032, 5148, 5897, 6316, 314, 338, 25208, 316, 910, 476, 9032, 267, 521, 25208, 910, 476, 272, 316, 910, 476, 9032, 316, 815, 3020, 282, 5897, 7684, 5897, 476, 5897, 12262, 11319, 1318, 11105, 3693, 585, 4994, 1412, 330, 262, 5897, 952, 630, 330, 1341, 476, 272, 10922, 521, 11482, 2654, 910, 476, 272, 30974, 476, 5897, 8206, 8354, 314, 338, 25208, 316, 910, 476, 9032, 267, 521, 25208, 1341, 476, 272, 316, 910, 476, 9032, 8079, 476, 5897, 2715, 5897, 1989, 314, 338, 25208, 316, 910, 476, 9032, 4940, 11754, 4433, 25208, 1341, 476, 272, 316, 910, 476, 9032, 5148, 5897, 6316, 314, 338, 25208, 316, 910, 476, 9032, 267, 521, 25208, 1341, 476, 272, 316, 910, 476, 9032, 316, 815, 3020, 282, 5897, 7684, 5897, 7684, 5897, 476, 5897, 12262, 20313, 547, 1685, 645, 12396, 5897, 6581, 826, 283, 842, 285, 7117, 815, 1007, 6581, 826, 283, 842, 285, 3890, 282, 5897, 7117, 269, 5319, 28255, 4433, 5157, 316, 910, 476, 9032, 5148, 5897, 476, 5897, 12262, 10272, 5044, 5897, 536, 944, 26514, 642, 815, 1007, 536, 944, 314, 2918, 22049, 5897, 476, 5897, 12262, 4756, 547, 4558, 3178, 540, 645, 12396, 5897, 703, 546, 815, 476, 271, 282, 5897, 476, 5897, 12262, 645, 12396, 5897, 1247, 630, 336, 5861, 870, 3436, 476, 271, 264, 476, 5897, 2715, 5897, 476, 5897, 12262, 1297, 540, 2609, 538, 519, 1699, 1377, 5897, 703, 524, 660, 815, 7117, 5861, 870, 282, 5897, 476, 5897, 12262, 6418, 8520, 5897, 1247, 630, 322, 660, 734, 3436, 476, 271, 264, 476, 5897, 2715, 5897, 476, 5897, 12262, 1699, 3693, 5897, 703, 28364, 815, 7117, 269, 8248, 2131, 3890, 282, 5897, 476, 5897, 12262, 1402, 4771, 20313, 5897, 7117, 6185, 3225, 324, 826, 3890, 282, 5897, 476, 5897, 12262, 3490, 2013, 5897, 952, 630, 341, 314, 2017, 337, 316, 10142, 3136, 282, 5897, 642, 314, 2017, 337, 316, 815, 3020, 282, 5897, 476, 5897, 12262, 10992, 952, 519, 1699, 6843, 568, 2838, 6843, 5897, 952, 630, 2017, 337, 2652, 521, 14728, 316, 910, 476, 9032, 10142, 2132, 546, 282, 5897, 476, 5897, 12262, 12055, 908, 998, 519, 1699, 6843, 5897, 2062, 778, 630, 842, 621, 538, 1989, 314, 2017, 337, 316, 10142, 7117, 269, 5319, 28255, 263, 527, 5148, 5897, 7684, 5897, 476, 5897, 12262, 21130, 3178, 5897, 546, 10030, 282, 5897, 7684, 5897, 476, 5897, 2132, 910, 272, 282, 5897, 7684, 5897, 476, 5897, 12262, 30905, 8943, 5897, 1857, 11979, 20704, 6301, 263, 21803, 26514, 26571, 10142, 2715, 5897, 12262, 3403, 4632, 5897, 21642, 521, 815, 834, 29582, 1372, 21968, 5897, 703, 1775, 815, 476, 271, 282, 5897, 703, 795, 815, 476, 275, 282, 5897, 476, 5897, 12262, 1599, 547, 1265, 519, 5934, 1942, 5897, 1230, 18030, 269, 2237, 6600, 785, 14737, 21798, 4433, 269, 2414, 13142, 26161, 19572, 1775, 267, 795, 4297, 282, 5897, 7684, 5897, 348, 5897, 476, 5897, 2260, 901, 3009, 568, 8329, 676, 476, 3066, 288, 329, 599, 298, 20783, 567, 1477, 567, 1477, 19203, 567, 1477, 567, 1477, 6449, 5897, 6449, 5897, 2878, 20479, 5093, 5897, 24541, 672, 457, 1477, 825, 476, 275, 457, 1477, 672, 5897, 16920, 1549, 5467, 256, 5213, 1406, 3247, 1565, 1631, 269, 5192, 3180, 540, 782, 519, 1271, 667, 6347, 1477, 935, 32383, 609, 519, 2878, 291, 6347, 8682, 623, 3166, 6092, 1262, 693, 513, 2875, 7888, 3902, 543, 1477, 13069, 727, 2872, 4712, 269, 1677, 2347, 707, 7041, 689, 1565, 513, 1893, 1477, 1729, 26712, 1325, 2998, 543, 1082, 811, 267, 5225, 3277, 2878, 28415, 19877, 19369, 1477, 17345, 1262, 2878, 269, 1262, 5897, 7069, 9608, 11872, 9041, 5535, 5091, 1886, 318, 1575, 318, 5897, 24591, 5897, 0, 23911, 1923, 23037, 24042, 1592, 676, 715, 628, 3693, 540, 24042, 5897, 5897, 15919, 267, 1247, 2324, 609, 5124, 1592, 267, 649, 666, 2097, 2066, 513, 1966, 538, 1477, 6518, 649, 991, 547, 4990, 1592, 2687, 547, 1022, 24042, 3693, 269, 1452, 1590, 581, 513, 1477, 10090, 545, 1259, 547, 1685, 519, 4990, 676, 1880, 24042, 4994, 269, 901, 814, 513, 1434, 1477, 583, 1006, 538, 1357, 1646, 6389, 269, 2913, 779, 1865, 1978, 2081, 538, 799, 713, 1477, 339, 2532, 666, 581, 5340, 269, 5897, 2878, 19686, 1948, 272, 2433, 2974, 902, 677, 3890, 1341, 25754, 1262, 567, 1477, 763, 4999, 540, 1657, 3252, 666, 581, 1031, 547, 1685, 713, 4305, 269, 769, 713, 267, 1477, 933, 1175, 1780, 513, 25754, 1599, 547, 4990, 3890, 609, 3617, 24042, 3693, 1477, 8161, 2687, 547, 799, 4990, 814, 547, 581, 5340, 269, 5897, 6449, 5897, 6449, 567, 1477, 6449, 5897, 6449, 5897, 6449, 567, 1477, 6449, 567, 1477, 6449, 5897, 258, 5124, 274, 3009, 547, 6542, 2324, 540, 5897, 258, 23037, 24042, 1592, 676, 715, 628, 3693, 540, 24042, 5897, 258, 1210, 4990, 3890, 1341, 25754, 5897, 476, 5897, 258, 3355, 1944, 1592, 5897, 11687, 8217, 815, 27883, 275, 267, 476, 276, 267, 476, 272, 1070, 630, 277, 267, 476, 272, 267, 476, 276, 1070, 630, 278, 267, 476, 275, 267, 1477, 273, 1070, 630, 277, 267, 476, 273, 267, 476, 275, 13580, 5897, 476, 5897, 258, 8228, 3312, 1592, 5897, 2745, 2891, 763, 3312, 1592, 568, 2433, 834, 1341, 1193, 6025, 652, 8217, 264, 10142, 476, 5897, 258, 4994, 2687, 547, 799, 4990, 547, 1685, 5897, 301, 815, 476, 272, 5897, 476, 5897, 258, 23037, 24042, 1592, 676, 715, 628, 3693, 540, 24042, 5897, 258, 1210, 4990, 3890, 1341, 25754, 5897, 11687, 8217, 31699, 31107, 815, 25754, 1535, 281, 1535, 314, 301, 316, 10142, 476, 5897, 258, 8228, 1267, 476, 5897, 2745, 2891, 8266, 1310, 18570, 24042, 676, 715, 628, 4994, 4990, 2433, 834, 1341, 1477, 1598, 6025, 652, 8217, 4297, 567, 1477, 567, 1477, 19203, 567, 1477, 567, 1477, 6449, 5897, 6449, 5897, 2878, 20479, 2433, 1262, 5897, 24541, 672, 457, 1477, 825, 634, 3312, 1592, 568, 2433, 27883, 275, 267, 476, 276, 267, 476, 272, 1070, 630, 277, 267, 476, 272, 267, 476, 276, 1070, 630, 278, 267, 476, 275, 267, 476, 273, 1070, 630, 277, 267, 476, 273, 267, 476, 275, 13580, 457, 1477, 825, 5903, 1310, 18570, 24042, 676, 715, 628, 4994, 4990, 2433, 27883, 277, 267, 476, 272, 267, 476, 276, 1070, 630, 277, 267, 476, 273, 267, 476, 275, 1070, 630, 278, 267, 476, 275, 267, 476, 273, 1070, 630, 275, 267, 476, 276, 267, 476, 272, 13580, 457, 1477, 672, 5897, 1262, 19686, 1948, 273, 2433, 2974, 902, 677, 3890, 1341, 6221, 1326, 614, 3890, 1262, 567, 1477, 1607, 568, 2147, 547, 519, 1657, 1505, 269, 634, 3017, 568, 1175, 602, 649, 946, 1477, 14403, 1326, 614, 19572, 547, 1685, 713, 4305, 602, 568, 2944, 676, 25754, 538, 1657, 1505, 269, 5897, 567, 5897, 567, 5897, 6449, 5897, 6449, 567, 1477, 6449, 5897, 6449, 5897, 6449, 567, 1477, 6449, 567, 1477, 6449, 5897, 258, 5124, 274, 3009, 547, 6542, 2324, 540, 5897, 258, 23037, 24042, 1592, 676, 715, 628, 3693, 540, 24042, 5897, 258, 1210, 4990, 3890, 1341, 6221, 1326, 614, 31476, 5228, 11346, 1104, 6221, 1326, 614, 5897, 476, 5897, 258, 3355, 1944, 1592, 5897, 11687, 8217, 815, 27883, 275, 267, 476, 276, 267, 476, 272, 1070, 630, 277, 267, 476, 272, 267, 476, 276, 1070, 630, 278, 267, 476, 275, 267, 1477, 273, 1070, 630, 277, 267, 476, 273, 267, 476, 275, 13580, 5897, 476, 5897, 258, 8228, 3312, 1592, 5897, 2745, 2891, 763, 3312, 1592, 568, 2433, 834, 1341, 1193, 6025, 652, 8217, 264, 10142, 476, 5897, 258, 4994, 2687, 547, 799, 4990, 547, 1685, 5897, 301, 815, 476, 272, 5897, 476, 5897, 258, 23037, 24042, 1592, 676, 715, 628, 3693, 540, 24042, 5897, 258, 1210, 4990, 3890, 1341, 6221, 1326, 614, 31476, 11687, 8217, 31699, 31107, 815, 6221, 1326, 614, 18217, 264, 10142, 476, 5897, 258, 8228, 1267, 476, 5897, 2745, 2891, 8266, 1310, 18570, 24042, 676, 715, 628, 4994, 4990, 2433, 834, 1341, 1477, 1598, 6025, 652, 8217, 4297, 567, 1477, 567, 1477, 19203, 567, 1477, 567, 1477, 6449, 5897, 6449, 5897, 2878, 20479, 2433, 1262, 5897, 24541, 672, 457, 1477, 825, 634, 3312, 1592, 568, 2433, 27883, 275, 267, 476, 276, 267, 476, 272, 1070, 630, 277, 267, 476, 272, 267, 476, 276, 1070, 630, 278, 267, 476, 275, 267, 476, 273, 1070, 630, 277, 267, 476, 273, 267, 476, 275, 13580, 457, 1477, 825, 5903, 1310, 18570, 24042, 676, 715, 628, 4994, 4990, 2433, 27883, 277, 267, 476, 272, 267, 476, 276, 1070, 630, 277, 267, 476, 273, 267, 476, 275, 1070, 630, 278, 267, 476, 275, 267, 476, 273, 1070, 630, 275, 267, 476, 276, 267, 476, 272, 13580, 457, 1477, 672, 5897, 16920, 1549, 2520, 2131, 256, 16237, 6533, 707, 13210, 609, 519, 2878, 23911, 14691, 1477, 28062, 566, 1262, 6092, 543, 1451, 519, 9238, 269, 5897, 2414, 2253, 609, 267, 707, 5967, 21339, 28389, 707, 4578, 23113, 1477, 935, 32383, 609, 519, 2878, 23911, 26712, 1262, 6092, 269, 5897, 7069, 9608, 11872, 9041, 5535, 5091, 1886, 318, 1575, 318, 5897, 24591, 5897, 0, 24058, 1125, 1239, 689, 11483, 309, 3758, 538, 5124, 5897, 5897, 5425, 309, 6763, 585, 2048, 2878, 8333, 320, 4149, 788, 541, 730, 18880, 1262, 2048, 269, 898, 1797, 519, 1239, 263, 11161, 264, 538, 513, 1477, 5425, 309, 3758, 616, 9674, 676, 513, 1642, 574, 3438, 1775, 4318, 1421, 26893, 269, 4578, 538, 513, 11483, 309, 3758, 568, 1477, 560, 1819, 538, 9184, 983, 3898, 609, 606, 10137, 540, 1547, 322, 12364, 269, 13575, 267, 11483, 309, 6119, 616, 1477, 4310, 609, 5616, 18580, 1115, 610, 9786, 9185, 9212, 269, 589, 11483, 309, 3758, 3568, 513, 1477, 15893, 540, 5638, 609, 519, 1239, 3262, 2066, 9343, 543, 9587, 269, 769, 713, 1477, 14835, 267, 649, 616, 2469, 547, 14650, 1239, 689, 513, 11483, 309, 3758, 538, 5124, 269, 5897, 2414, 1349, 519, 1239, 538, 11483, 309, 3758, 267, 11483, 309, 9074, 1590, 581, 16865, 538, 938, 1982, 607, 1477, 31742, 338, 281, 5897, 24541, 24541, 825, 1104, 26417, 457, 1477, 672, 457, 1477, 825, 609, 1930, 3488, 12803, 27406, 10807, 607, 11711, 281, 567, 457, 1477, 1038, 7412, 318, 1348, 518, 815, 26417, 18667, 518, 263, 17572, 264, 476, 5897, 2080, 267, 26417, 18667, 518, 263, 3738, 1599, 568, 1031, 547, 1224, 519, 1982, 1310, 1104, 532, 11483, 309, 1477, 331, 3869, 269, 5897, 2878, 7078, 476, 272, 281, 10439, 1944, 519, 1262, 2878, 26383, 540, 1114, 7606, 998, 3046, 1477, 7120, 269, 1262, 5897, 763, 2630, 11483, 309, 3758, 3568, 1114, 1268, 2012, 267, 4008, 267, 543, 2085, 10710, 607, 1477, 8072, 6798, 739, 1846, 27406, 685, 281, 5897, 567, 5897, 567, 5897, 256, 26514, 263, 10059, 2517, 332, 4215, 269, 613, 4060, 1721, 613, 4060, 3820, 11320, 335, 268, 1477, 20880, 270, 340, 22744, 338, 270, 1708, 9083, 14681, 280, 2767, 7367, 270, 5425, 309, 12803, 272, 26666, 10142, 2878, 763, 1935, 540, 519, 1982, 5093, 5897, 476, 476, 272, 269, 7383, 2838, 8021, 267, 21267, 5399, 585, 3308, 1944, 267, 543, 11483, 309, 5399, 585, 2542, 11483, 309, 1239, 23228, 476, 476, 273, 269, 7046, 519, 3758, 1210, 1930, 263, 3738, 1599 ]

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

[ 1220, 348, 2676, 825, 27835, 425, 496, 486, 423, 359, 483, 9166, 1412, 422, 372, 486, 423, 493, 482, 423, 479, 376, 3299, 1412, 424, 486, 502, 423, 509, 487, 9166, 476, 272, 267, 1412, 21498, 357, 32174, 478, 9166, 476, 4968, 348, 2676, 825, 27835, 425, 496, 486, 423, 359, 483, 9166, 1412, 423, 363, 372, 424, 488, 353, 423, 355, 368, 423, 493, 482, 423, 479, 376, 3299, 1412, 424, 486, 502, 423, 509, 487, 9166, 476, 272, 267, 1412, 21498, 357, 32174, 478, 9166, 476, 14596, 8679, 6540, 14403, 318, 2745, 263, 14403, 8217, 994, 338, 2741, 19571, 815, 3403, 2891, 424, 481, 479, 425, 496, 486, 14091, 366, 486, 425, 502, 372, 10563, 508, 483, 423, 510, 354, 281, 5602, 572, 937, 318, 14403, 4433, 2741, 19571, 994 ]

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

[ 0, 3848, 476, 278, 281, 4197, 1234, 9690, 26579, 13809, 630, 305, 12195, 2567, 1323, 769, 5937, 3704, 5811, 692, 296, 269, 4985, 692, 13434, 584, 1370, 6379, 2530, 630, 305, 12195, 264, 568, 606, 14156, 1253, 7675, 2783, 602, 5540, 5111, 476, 273, 268, 276, 260, 540, 1126, 321, 8960, 15185, 5001, 269, 4347, 1441, 607, 1079, 610, 811, 15654, 6379, 9271, 1991, 547, 519, 476, 736, 628, 3018, 540, 32460, 267, 681, 12195, 6799, 1713, 2591, 585, 1312, 3782, 7426, 543, 2550, 7567, 269, 901, 3184, 6663, 547, 1683, 513, 3102, 7650, 540, 681, 12195, 267, 922, 3123, 267, 5868, 267, 2126, 3681, 267, 543, 23567, 1247, 10771, 922, 2956, 607, 513, 1857, 1072, 6161, 269, 1635, 3695, 1585, 3344, 540, 681, 12195, 267, 3988, 786, 2744, 513, 4514, 7071, 585, 519, 10848, 4478, 713, 1419, 29144, 10285, 1072, 3390, 780, 2862, 269, 634, 645, 6324, 523, 540, 681, 12195, 281, 7351, 12367, 543, 7464, 21509, 20480, 692, 288, 269, 2776, 28700, 543, 5549, 2064, 454, 305, 12195, 5222, 6634, 540, 2043, 11451, 267, 609, 9193, 11021, 909, 547, 476, 276, 260, 540, 782, 24802, 6444, 26691, 1267, 538, 20443, 2530, 269, 6736, 891, 31417, 2338, 267, 1082, 2665, 2611, 3768, 328, 30938, 1813, 547, 896, 516, 1636, 532, 267, 3908, 1569, 547, 2298, 3782, 2533, 267, 543, 13385, 1702, 827, 2038, 6379, 2589, 1851, 4299, 5095, 269, 9182, 267, 5466, 681, 12195, 3340, 13447, 539, 3646, 689, 2789, 8639, 267, 1519, 14519, 267, 3782, 4648, 267, 3173, 267, 543, 2146, 3906, 780, 289, 269, 16508, 8177, 593, 14904, 543, 19198, 454, 299, 3151, 513, 4941, 6379, 666, 581, 14042, 585, 3885, 267, 3056, 547, 4606, 540, 16236, 267, 16203, 267, 10845, 267, 4160, 267, 4965, 267, 543, 4389, 1582, 12635, 269, 5047, 267, 4891, 949, 1995, 1114, 12003, 6127, 267, 799, 1223, 2417, 22652, 3929, 11605, 1369, 3347, 269, 4935, 267, 3246, 7850, 5626, 1489, 7258, 2564, 7459, 3587, 2629, 538, 5009, 2949, 8171, 1282, 4101, 2053, 780, 7656, 269, 18264, 5735, 543, 11202, 19398, 8344, 31469, 540, 681, 12195, 692, 288, 269, 18726, 15486, 454, 2419, 668, 23865, 17244, 2272, 585, 5176, 3368, 540, 782, 26742, 19631, 26674, 17699, 267, 1818, 873, 519, 1034, 1455, 30753, 2014, 540, 681, 12195, 269, 9977, 531, 737, 776, 9189, 2079, 267, 2059, 609, 824, 4719, 4255, 899, 13354, 22308, 10316, 1436, 630, 290, 21203, 264, 14249, 610, 2582, 30859, 26340, 1143, 630, 17928, 303, 264, 2890, 541, 7590, 267, 2337, 3713, 9606, 10095, 22114, 7700, 547, 681, 12195, 269, 3958, 267, 4686, 4719, 4713, 971, 607, 24405, 17232, 5362, 267, 2166, 10973, 27470, 267, 543, 17866, 2473, 6794, 723, 849, 1044, 26582, 538, 930, 8320, 540, 681, 12195, 780, 289, 269, 26268, 4689, 1955, 4472, 1734, 454, 17484, 18355, 7988, 325, 17313, 1404, 513, 2565, 1909, 538, 4509, 2635, 26691, 282, 8754, 267, 17441, 20817, 13822, 1776, 1713, 1696, 328, 11043, 3815, 3297, 681, 12195, 269, 16930, 2175, 5532, 547, 681, 12195, 1331, 11178, 2068, 267, 4874, 1097, 10973, 9065, 776, 6794, 630, 303, 26714, 1070, 561, 1393, 531, 5123, 8919, 267, 5409, 335, 1503, 716, 514, 8598, 267, 543, 3987, 22577, 269, 7743, 6268, 543, 2359, 540, 25012, 18063, 616, 1898, 3334, 540, 3811, 681, 12195, 3797, 780, 290, 269, 23305, 2806, 7538, 885, 454, 2304, 520, 13929, 2152, 1369, 2901, 7649, 781, 10285, 1062, 666, 17225, 15498, 566, 610, 2333, 18687, 547, 3968, 267, 6038, 4611, 538, 681, 12195, 269, 6201, 540, 7293, 17244, 7854, 29897, 694, 24473, 267, 22833, 1941, 10663, 14685, 328, 267, 12499, 17458, 710, 14398, 687, 630, 2026, 615, 2006, 781, 6794, 1070, 2887, 26508, 8546, 3625, 1137, 267, 543, 25073, 30219, 269, 26616, 2645, 899, 16953, 267, 1728, 3122, 22000, 267, 543, 22272, 541, 22000, 5351, 538, 7114, 543, 8156, 5817, 7293, 2042, 780, 291, 269, 7025, 11790, 454, 26452, 2825, 2609, 3565, 547, 681, 12195, 1981, 267, 1519, 4359, 14774, 2085, 267, 8377, 267, 7296, 267, 4568, 4616, 267, 28302, 3075, 946, 267, 4598, 547, 4853, 6464, 267, 5982, 267, 543, 11763, 8069, 269, 17291, 543, 19086, 5739, 23927, 1106, 7533, 2694, 540, 681, 12195, 6604, 2994, 780, 4353, 269, 26616, 22604, 543, 9615, 3525, 8017, 585, 681, 12195, 692, 288, 269, 19461, 16214, 454, 4467, 11772, 633, 1686, 2921, 267, 2168, 6514, 267, 543, 2596, 8047, 4152, 4196, 607, 3355, 3268, 2509, 23235, 681, 12195, 269, 1452, 10526, 2832, 547, 10625, 1761, 20334, 547, 20443, 9271, 676, 10442, 15366, 6502, 267, 6197, 6208, 267, 18492, 3270, 267, 6188, 13011, 12583, 267, 6646, 6165, 267, 543, 1920, 2564, 5638, 780, 289, 269, 11628, 13281, 454, 27039, 593, 4681, 689, 3119, 13753, 267, 15185, 1522, 2154, 3606, 10368, 5773, 899, 737, 776, 9189, 2079, 267, 25012, 1599, 4879, 267, 6375, 11043, 27992, 267, 543, 24405, 17232, 807, 9584, 269, 9122, 593, 2164, 267, 3358, 9354, 4485, 3077, 1808, 1757, 894, 2188, 4857, 998, 11826, 10368, 960, 5725, 780, 290, 269, 24103, 1670, 3955, 6761, 454, 8469, 10716, 4122, 6964, 538, 5883, 681, 12195, 17663, 29469, 267, 646, 1706, 514, 267, 26550, 18333, 6918, 710, 267, 1558, 845, 514, 267, 1577, 549, 345, 1961, 267, 804, 558, 760, 515, 928, 3632, 3433, 267, 16891, 611, 582, 1886, 1231, 267, 543, 1322, 6856, 821, 9360, 269, 3962, 14453, 8665, 9607, 3982, 23633, 11444, 3238, 538, 681, 12195, 1646, 267, 26089, 10531, 13310, 4566, 1759, 593, 1367, 3461, 12632, 780, 291, 269, 2667, 13554, 3115, 8793, 16370, 630, 11286, 994, 1103, 20117, 22289, 630, 4353, 293, 1070, 703, 6483, 339, 32194, 14203, 13297, 630, 2975, 10485, 1070, 20033, 13708, 26347, 267, 1147, 5766, 2329, 267, 543, 840, 574, 8690, 566, 4719, 4152, 630, 22333, 307, 264, 2099, 5051, 2442, 26353, 8925, 8246, 538, 20547, 681, 12195, 21140, 269, 4014, 7199, 543, 4199, 25673, 267, 891, 2553, 2709, 9621, 4093, 950, 6671, 5574, 6961, 23696, 780, 309, 269, 16723, 8081, 543, 29960, 7896, 692, 11693, 519, 7096, 3929, 17167, 18913, 681, 12195, 267, 10128, 2790, 1072, 2533, 883, 11455, 1416, 3631, 3788, 16832, 269, 20985, 3646, 5473, 16895, 267, 1514, 4600, 267, 543, 1489, 2516, 7520, 13261, 12003, 6127, 267, 6536, 6043, 267, 3986, 2792, 1983, 267, 543, 3895, 2949, 8171, 9624, 14488, 780, 9654, 269, 8892, 19648, 281, 24021, 12367, 543, 11627, 725, 538, 681, 12195, 5004, 692, 3849, 9330, 906, 538, 10285, 4915, 3136, 30740, 3209, 8906, 6322, 693, 17306, 681, 12195, 2359, 26336, 269, 2368, 6932, 3466, 7854, 27981, 7497, 1382, 267, 6565, 1591, 11257, 267, 5444, 11049, 4066, 267, 5841, 4987, 3156, 267, 543, 28707, 5464, 3457, 2966, 547, 2087, 10368, 6111, 543, 16762, 7207, 269, 1306, 938, 1620, 540, 681, 12195, 21040, 267, 865, 1932, 1281, 4126, 585, 4824, 4791, 7459, 5827, 540, 10970, 11868, 7092, 543, 19620, 10285, 13190, 585, 9118, 4299, 15185, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 18800, 540, 2833, 281, 20443, 6379, 2530, 609, 10285, 6364, 538, 9176, 2021, 454, 21292, 281, 11073, 2492, 267, 21250, 656, 2021, 267, 1234, 9690, 6379, 2530, 630, 305, 12195, 1070, 3115, 8793, 454, 25889, 281, 1234, 9690, 6379, 2530, 630, 305, 12195, 264, 568, 606, 1271, 10285, 1072, 3390, 267, 7133, 476, 273, 260, 1700, 276, 260, 540, 15185, 269, 3194, 883, 1946, 31761, 4523, 568, 519, 1152, 1259, 649, 666, 4688, 2729, 543, 2061, 2104, 2530, 269, 769, 713, 1353, 649, 7447, 519, 6871, 540, 9002, 945, 15068, 3564, 519, 30564, 1974, 538, 513, 681, 12195, 16758, 543, 547, 2697, 2404, 2188, 563, 32325, 281, 589, 24794, 8826, 20165, 1353, 1519, 476, 12553, 2021, 2938, 693, 513, 16758, 585, 681, 12195, 538, 2530, 1895, 1063, 476, 1001, 277, 543, 476, 1001, 279, 543, 513, 1852, 1895, 1519, 476, 5197, 9176, 2021, 2938, 693, 513, 1970, 16151, 27514, 1416, 1770, 269, 3115, 8793, 1967, 2557, 729, 3989, 607, 606, 9800, 1532, 9500, 267, 4830, 540, 29556, 2085, 693, 4332, 543, 6668, 1310, 519, 30564, 1974, 269, 2353, 519, 4266, 729, 2493, 1227, 12649, 543, 9916, 563, 24342, 281, 4934, 540, 476, 12893, 945, 22885, 267, 476, 10755, 630, 11011, 269, 274, 8472, 1185, 10285, 1967, 2557, 269, 774, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 13434, 584, 1370, 26579, 13809, 630, 305, 12195, 17983, 607, 851, 540, 834, 4047, 22483, 1299, 32362, 1315, 674, 19910, 1299, 5606, 19910, 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, 281, 8535, 267, 20154, 640, 267, 543, 23046, 281, 1323, 22410, 540, 12634, 1744, 16120, 545, 13756, 998, 519, 30776, 540, 3127, 6993, 4471, 781, 3203, 3588, 692, 1103, 713, 1770, 267, 649, 5490, 883, 519, 25872, 540, 2575, 267, 17035, 267, 543, 7067, 1369, 4207, 695, 16120, 545, 2853, 269, 1284, 786, 2263, 875, 5159, 899, 3127, 6993, 4471, 2721, 2390, 6805, 5389, 267, 1102, 6748, 2413, 2442, 2528, 609, 3504, 7326, 543, 2418, 269, 3776, 7634, 2882, 6313, 1883, 2035, 971, 607, 1918, 2065, 4978, 267, 12012, 2829, 540, 9637, 267, 543, 521, 4577, 7067, 2409, 269, 10801, 519, 1770, 267, 4296, 786, 581, 6537, 547, 1699, 3466, 543, 1382, 4681, 267, 11744, 519, 4797, 10083, 540, 891, 2093, 543, 2553, 2221, 780, 2304, 574, 1143, 281, 25043, 540, 7087, 2622, 1613, 338, 692, 4263, 922, 4295, 267, 1918, 1143, 29102, 602, 782, 2713, 7919, 31251, 3425, 267, 2831, 267, 2371, 267, 543, 1256, 9583, 538, 534, 1493, 2609, 971, 607, 7725, 543, 25825, 1765, 335, 1601, 612, 2366, 1466, 543, 8116, 630, 19604, 3272, 267, 476, 1220, 277, 1040, 901, 3661, 1062, 19156, 1082, 6805, 4529, 5001, 267, 10771, 10103, 543, 3666, 1851, 3309, 1272, 3029, 269, 769, 2490, 267, 3347, 609, 1875, 16058, 9988, 1831, 1898, 3334, 540, 18497, 3961, 543, 8171, 780, 28757, 759, 4026, 1878, 540, 1918, 2065, 3206, 666, 581, 4767, 2066, 1585, 10459, 267, 1519, 2825, 7881, 543, 3235, 641, 2134, 1108, 630, 305, 846, 267, 476, 1001, 278, 282, 570, 27462, 1299, 717, 3234, 267, 476, 1001, 275, 1040, 1280, 1383, 267, 930, 5640, 8044, 602, 12561, 606, 1918, 626, 5133, 1223, 6536, 3152, 6940, 676, 4101, 10236, 12510, 878, 10054, 827, 1480, 2531, 514, 542, 936, 2470, 630, 298, 7897, 267, 476, 1001, 274, 1040, 1635, 10137, 267, 8508, 971, 23835, 3098, 1522, 849, 1266, 2658, 15398, 2463, 585, 2686, 4763, 543, 12683, 1143, 2094, 972, 1131, 1100, 3476, 2291, 1022, 7915, 15796, 11284, 3101, 1978, 2081, 540, 6616, 610, 1373, 780, 2704, 339, 1229, 2276, 540, 3117, 4109, 1145, 281, 19484, 6348, 867, 2435, 7464, 885, 692, 23338, 547, 1082, 695, 16120, 545, 2853, 568, 519, 20982, 15632, 540, 12012, 2829, 540, 9637, 630, 3008, 290, 1070, 1419, 19658, 998, 24754, 25576, 15664, 610, 824, 17391, 15128, 630, 310, 1074, 601, 2006, 267, 476, 1001, 280, 1040, 1452, 32412, 2833, 5512, 9439, 547, 1569, 1875, 867, 2435, 26441, 1141, 2792, 609, 14326, 267, 5583, 585, 7067, 12738, 267, 543, 6051, 540, 4503, 20339, 949, 2049, 630, 295, 531, 604, 1314, 267, 476, 1001, 279, 1040, 25408, 267, 4207, 5778, 27023, 881, 1382, 7028, 519, 6228, 540, 971, 16637, 550, 9259, 267, 5316, 5024, 873, 547, 1950, 14715, 3157, 5473, 18215, 545, 3889, 543, 9949, 7154, 3060, 2534, 630, 309, 7159, 331, 1696, 620, 1421, 476, 1220, 276, 6393, 19328, 6993, 4471, 781, 5152, 834, 296, 2549, 8752, 257, 5713, 607, 513, 14984, 12576, 540, 519, 13710, 1761, 2404, 609, 2502, 12012, 2829, 540, 4656, 269, 3414, 859, 25607, 18405, 543, 30811, 23964, 267, 19700, 7832, 593, 513, 3460, 2509, 4514, 26126, 267, 18136, 8086, 2390, 835, 781, 3020, 9759, 3564, 5007, 23079, 610, 4468, 958, 13684, 6788, 269, 1306, 971, 267, 7574, 15885, 899, 834, 296, 2549, 8752, 257, 1599, 711, 1152, 607, 7499, 7215, 855, 849, 607, 6472, 585, 2123, 2208, 543, 5289, 31135, 780, 306, 4577, 23046, 10613, 281, 634, 5295, 540, 14675 ]

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

[ 19906, 264, 1341, 476, 272, 264, 23378, 8931, 825, 1948, 3553, 1154, 519, 476, 271, 628, 6241, 547, 782, 6936, 454, 825, 1948, 1492, 1871, 568, 476, 271, 454, 825, 585, 1775, 538, 2039, 12759, 19906, 264, 1341, 476, 272, 2187, 1038, 3349, 5157, 6012, 271, 316, 815, 6936, 692, 825, 1948, 3553, 1154, 519, 476, 271, 628, 4737, 547, 782, 8771, 454, 825, 1948, 4754, 2254, 10208, 689, 1871, 952, 2855, 568, 8900, 454, 825, 585, 1775, 538, 2039, 263, 272, 267, 1871, 1341, 476, 272, 2187, 1038, 3349, 314, 271, 6012, 328, 316, 815, 8771, 22562, 825, 585, 1775, 538, 2039, 263, 272, 267, 7003, 19906, 264, 1341, 476, 272, 2187, 1038, 585, 795, 538, 2039, 263, 272, 267, 1871, 1341, 476, 272, 2187, 2018, 952, 795, 2999, 2855, 5157, 268, 272, 14158, 3546, 3349, 5157, 6012, 329, 316, 815, 3349, 5157, 268, 272, 6012, 329, 2639, 2018, 3116, 912, 3546, 3349, 5157, 6012, 329, 316, 815, 3349, 5157, 268, 272, 6012, 329, 316, 610, 3349, 5157, 268, 272, 6012, 329, 910, 2855, 5157, 268, 272, 27663, 8931, 825, 1948, 2745, 3349, 1934, 454, 825, 1948, 585, 1775, 538, 2039, 12759, 19906, 264, 1341, 476, 272, 2187, 825, 1948, 672, 1820, 6025, 762, 5157, 3910, 694, 335, 815, 834, 19515, 825, 1948, 672, 1820, 19629, 333, 15419, 825, 1820, 303, 23411, 19906, 267, 7003, 19906, 264, 910, 476, 272, 267, 1871, 267, 1496, 3910, 3349, 2020, 3698, 1820, 303, 23411, 19906, 267, 4994, 267, 1871, 267, 2619, 267, 3349, 2187, 825, 1820, 263, 8161, 267, 1871, 267, 2619, 994, 825, 952, 4994, 2652, 476, 271, 543, 1871, 11203, 476, 271, 543, 3349, 27709, 6012, 7407, 14158, 1038, 2619, 6910, 19906, 27709, 7481, 1038, 1820, 9638, 987, 994, 1038, 2132, 692, 825, 952, 4994, 2652, 476, 271, 543, 2040, 2652, 476, 271, 912, 1038, 1820, 9638, 987, 994, 1038, 2132, 692, 825, 1948, 12949, 2009, 676, 24937, 1699, 1871, 454, 825, 952, 3349, 27709, 910, 476, 272, 6012, 7407, 14158, 1038, 1007, 24786, 815, 11713, 1038, 1820, 303, 23411, 19906, 267, 4994, 910, 476, 272, 267, 1871, 267, 1007, 24786, 267, 3349, 2020, 825, 1948, 12949, 2009, 676, 8051, 585, 1699, 1871, 3097, 825, 952, 1871, 13843, 2855, 27709, 316, 543, 3349, 27709, 268, 272, 6012, 7407, 910, 2855, 27709, 316, 14158, 1038, 2619, 6910, 19906, 27709, 7481, 1038, 1820, 303, 23411, 19906, 267, 4994, 910, 476, 272, 267, 1871, 910, 2855, 27709, 3910, 2619, 267, 3349, 2020, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 2855, 815, 1496, 274, 267, 476, 4097, 267, 476, 275, 267, 476, 1321, 267, 476, 276, 267, 476, 273, 2639, 825, 1871, 815, 476, 280, 454, 825, 1948, 1820, 263, 13765, 11764, 19906, 267, 1871, 267, 476, 275, 4917, 825, 2638, 11764, 289, 18847, 10000, 19906, 267, 1871, 264, 0, 12163, 25363, 13586, 513, 1533, 3684, 689, 519, 13289, 9226, 10189, 454, 291, 17805, 566, 568, 2139, 1934, 281, 4179, 2517, 326, 603, 889, 2593, 270, 6853, 10520, 1431, 270, 10520, 1431, 692, 15368, 1227, 1018, 594, 6415, 3257, 1934, 568, 4259, 909, 513, 1533, 3684, 269, 12793, 26518, 609, 948, 619, 4732, 727, 12173, 3890, 616, 538, 519, 454, 3559, 11825, 18258, 3758, 538, 713, 15682, 563, 12163, 5228, 13289, 1104, 10724, 454, 5814, 942, 454, 5814, 19883, 454, 5814, 20956, 273, 692, 5814, 948, 619, 607, 948, 619, 454, 5814, 2619, 318, 17839, 1676, 607, 2619, 318, 17839, 1676, 454, 5814, 11885, 607, 5286, 454, 258, 689, 1533, 8548, 22389, 1104, 948, 619, 454, 258, 1104, 1533, 8548, 22389, 269, 3559, 11825, 454, 5814, 17626, 692, 8421, 3101, 12500, 553, 545, 3519, 14808, 263, 24038, 284, 8421, 3101, 6185, 292, 289, 308, 294, 994, 8421, 3101, 10947, 19868, 3455, 3488, 10520, 1431, 262, 1040, 3553, 25583, 263, 8421, 3101, 269, 2562, 23859, 2020, 304, 305, 318, 300, 5588, 3036, 318, 9915, 292, 3633, 815, 910, 736, 454, 307, 30728, 318, 300, 5588, 3036, 318, 9915, 292, 3633, 815, 910, 2004, 454, 307, 7838, 301, 318, 2316, 10933, 815, 476, 278, 476, 1948, 7643, 7531, 3698, 8773, 5334, 332, 6025, 652, 25716, 2187, 825, 8173, 825, 6282, 525, 513, 1533, 3684, 609, 2829, 3989, 538, 519, 1412, 560, 919, 262, 5044, 543, 13289, 3773, 16924, 454, 825, 2433, 8873, 281, 1533, 3684, 1843, 454, 825, 8173, 825, 1948, 7756, 2829, 519, 8773, 666, 581, 538, 269, 5410, 8726, 649, 991, 476, 24801, 9339, 8894, 825, 2829, 815, 18358, 11034, 1575, 3299, 1412, 323, 9057, 710, 4671, 13759, 3299, 1412, 338, 12522, 3299, 1412, 333, 3572, 566, 3299, 1412, 7955, 7272, 531, 2280, 3299, 1412, 335, 1157, 1575, 7272, 531, 2280, 3299, 1412, 7955, 318, 571, 1188, 262, 6540, 825, 1948, 634, 1533, 3684, 568, 3355, 1242, 609, 2409, 3989, 538, 519, 31584, 288, 2388, 1362, 1336, 2630, 563, 825, 8773, 815, 31584, 288, 2388, 6025, 652, 284, 11687, 2020, 825, 1948, 19461, 1125, 519, 1533, 3684, 454, 825, 3684, 815, 10724, 263, 16347, 284, 13681, 582, 267, 2829, 284, 560, 919, 267, 3355, 8782, 11034, 1575, 3299, 11716, 18425, 20777, 4671, 3419, 7970, 18989, 2020, 825, 1948, 25792, 13289, 979, 1934, 476, 5785, 24801, 955, 8894, 825, 1948, 634, 16105, 568, 1412, 16341, 4671, 3419, 3455, 3299, 2707, 8782, 9690, 26077, 3299, 3186, 8782, 9188, 1600, 26077, 7055, 825, 1948, 865, 952, 649, 1572, 8773, 269, 8218, 19572, 519, 2630, 1899, 3081, 602, 952, 649, 2811, 538, 519, 1412, 11034, 1575, 262, 1533, 267, 519, 9594, 786, 6494, 721, 454, 825, 1948, 547, 519, 1412, 323, 9057, 710, 4671, 13759, 262, 1533, 563, 825, 3684, 14491, 4671, 4920, 819, 3488, 8218, 3299, 2707, 8782, 11034, 1575, 3299, 3186, 8782, 323, 9057, 710, 4671, 13759, 5073, 825, 3684, 14491, 4671, 4920, 819, 3488, 326, 9369, 5334, 12522, 3299, 2707, 8782, 265, 3299, 3186, 8782, 338, 12522, 5073, 825, 3684, 14491, 4671, 4920, 819, 3488, 20142, 633, 15461, 7272, 531, 2280, 3299, 2707, 8782, 265, 3299, 3186, 8782, 333, 3572, 566, 5073, 825, 3684, 14491, 4671, 4920, 819, 3488, 20142, 633, 15461, 5091, 1886, 4752, 3299, 2707, 8782, 265, 3299, 3186, 8782, 333, 3572, 566, 5073, 825, 3684, 14491, 4671, 4920, 819, 3488, 335, 1157, 1575, 3299, 2707, 8782, 265, 3299, 3186, 8782, 335, 1157, 1575, 7272, 531, 2280, 5073, 825, 3684, 14491, 4671, 4920, 819, 3488, 7955, 3299, 2707, 8782, 265, 3299, 3186, 8782, 7955, 7272, 531, 2280, 5073, 825, 3684, 14491, 4671, 4920, 819, 3488, 7955, 318, 571, 1188, 3299, 2707, 8782, 265, 3299, 3186, 8782, 7955, 318, 571, 1188, 17210, 825, 2132, 8773, 7531, 5035, 31584, 288, 2388, 24998, 2187, 825, 8173, 825, 901, 1362, 568, 1018, 519, 1533, 3684, 568, 3710, 2390, 269, 16294, 1022, 10305, 538, 519, 6449, 8181, 1029, 4020, 528, 563, 825, 1403, 538, 513, 1362, 1505, 543, 1616, 547, 1689, 2829, 267, 1305, 1582, 269, 4302, 4240, 4671, 3419, 3455, 547, 519, 5551, 9594, 1505, 563, 825, 1280, 1383, 267, 952, 594, 6415, 538, 519, 593, 318, 10938, 5091, 9057, 710, 4671, 13759, 3890, 1505, 543, 1616, 547, 979, 547, 519, 2922, 1533, 267, 594, 1131, 1305, 519, 454, 825, 6446, 4240, 4671, 3419, 3455, 547, 1582, 3052, 9369, 5334, 12522, 3890, 1287, 2132, 689, 602, 1505, 269, 1411, 666, 1294, 713, 8045, 538, 602, 1505, 2630, 780, 825, 8074, 602, 519, 1533, 3684, 568, 606, 10137, 540, 713, 1362, 269, 4935, 267, 519, 1533, 3684, 3294, 814, 782, 519, 2409, 2630, 454, 825, 543, 811, 602, 616, 3773, 950, 2196, 324, 519, 3684, 815, 10724, 263, 16347, 284, 13681, 582, 267, 3267, 3738, 3009, 538, 519, 8773, 5334, 332, 3890, 1599, 1657, 563, 825, 901, 1797, 602, 649, 666, 1289, 834, 8063, 3684, 257, 3252, 689, 1369, 713, 1362, 269, 594, 4318, 269, 952, 594, 4941, 547, 1569, 519, 1699, 454, 825, 1533, 267, 594, 1223, 1205, 621, 609, 1582, 269, 8063, 454, 825, 8173, 825, 1219, 6449, 8181, 9191, 1345, 267, 1449, 25716, 2187, 1038, 8173, 1038, 20472, 528, 269, 901, 1599, 8255, 950, 513, 1007, 1843, 568, 3355, 1242, 563, 1038, 2433, 8873, 281, 7183, 454, 1038, 8173, 1038, 1582, 28333, 719, 815, 476, 4335, 271, 476, 1948, 7643, 454, 1038, 1582, 269, 2998, 531, 318, 336, 337, 815, 15079, 476, 1948, 547, 4558, 519, 3804, 30040, 3009, 454, 1038, 1582, 23357, 23059, 318, 2998, 531, 9078, 665, 815, 5286, 15126, 8443, 271, 267, 476, 271, 8079, 476, 1948, 1141, 649, 1616, 519, 8773, 547, 5397, 547, 454, 1038, 1582, 269, 9690, 9078, 6327, 815, 5286, 15126, 8443, 271, 267, 476, 271, 8079, 476, 1948, 1141, 649, 4867, 616, 269, 32114, 649, 1376, 693, 476, 271, 267, 271, 454, 1038, 1582, 8542, 822, 318, 628, 3306, 815, 476, 273, 476, 1948, 12939, 538, 6279, 585, 875, 2673, 649, 991, 547, 581, 547, 938, 3077, 563, 1038, 1582, 6155, 337, 633, 22710, 719, 815, 476, 4968, 476, 1948, 875, 1279, 1354, 649, 2285, 909, 593, 6117, 563, 1038, 1582, 29624, 815, 7183, 454, 1038, 1582, 269, 13715, 815, 2619, 318, 17839, 1676, 10947, 318, 13715, 4590, 1038, 1948, 5590, 909, 17626, 8818, 609, 20798, 454, 1038, 1582, 6745, 652, 815, 1449, 454, 1038, 1582, 14371, 815, 2619, 318, 17839, 1676, 10947, 14682, 1429, 10797, 1038, 1582, 16000, 318, 8527, 566, 815, 5286, 15126, 31912, 12639, 269, 6523, 18828, 32564, 270, 273, 1070, 910, 12639, 4732, 514, 18828, 32564, 270, 273, 264, 3910, 1496, 12639, 4732, 514, 18828, 32564, 270, 273, 1070, 5286, 269, 6523, 18828, 32564, 270, 273, 13580, 7481, 1038, 1582, 16192, 318, 8527, 566, 815, 5286, 15126, 31912, 12639, 269, 6523, 8987, 12639, 32564, 270, 273, 1070, 910, 12639, 4732, 514, 8987, 12639, 32564, 270, 273, 264, 3910, 1496, 12639, 4732, 514, 8987, 12639, 32564, 270, 273, 1070, 5286, 269, 6523, 8987, 12639, 32564, 270, 273, 13580, 7481, 1038, 952, 711, 1582, 6745, 652, 912, 2018, 1582, 4732, 518, 658, 5332, 822, 815, 17626, 2529, 518, 658, 2891, 270, 22563, 14121, 1399, 4785, 289, 272, 2580, 476, 31634, 271, 267, 942, 719, 284, 272, 264, 476, 1948, 4219, 8028, 300, 1297, 607, 1336, 689, 561, 338, 1315, 22563, 14121, 1399, 270, 3722, 300, 20330, 2018, 1582, 4732, 518, 658, 5332, 822, 12500, 7596, 3433, 815, 31634, 271, 454, 2018, 942, 4732, 2748, 263, 273, 994, 2018, 1582, 4732, 518, 658, 14682, 8692, 815, 17626, 2529, 518, 658, 2891, 270, 22563, 14121, 1399, 4785, 289, 271, 2580, 476, 31634, 271, 267, 942, 719, 284, 272, 264, 476, 1948, 4219, 8028, 300, 1297, 607, 1336, 689, 561, 338, 1315, 22563, 14121, 1399, 270, 3722, 300, 20330, 2018, 1582, 4732, 518, 658, 14682, 8692, 12500, 7596, 3433, 815, 31634, 271, 454, 2018, 942, 4732, 2748, 263, 273, 994, 1038, 3116, 912, 2018, 1582, 4732, 518, 658, 5332, 822, 815, 17626, 2529, 518, 658, 2891, 26376, 273, 2580, 476, 31634, 271, 2676, 14030, 2018, 942, 719, 284, 272, 264, 476, 1948, 1689, 8028, 300, 1297, 607, 1336, 689, 561, 338, 1315, 22563, 14121, 1399, 270, 3722, 300, 20330, 2018, 1582, 4732, 518, 658, 5332, 822, 12500, 7596, 3433, 815, 476, 31634, 271, 692, 2018, 1582, 4732, 518, 658, 14682, 8692, 815, 17626, 2529, 518, 658, 2891, 26376, 275, 2580, 476, 31634, 271, 2676, 14030, 17264, 942, 719, 284, 272, 264, 476, 1948, 1689, 8028, 300, 1297, 607, 1336, 689, 561, 338, 1315, 22563, 14121, 1399, 270, 3722, 300, 20330, 2018, 1582, 4732, 518, 658, 14682, 8692, 12500, 7596, 3433, 815, 476, 31634, 271, 692, 1038, 1582, 6155, 3925, 815, 5286, 15126, 8443, 272, 267, 476, 271, 20285, 825, 1219, 6449, 23437, 9191, 1345, 2187, 1038, 8173, 1038, 20121, 1192, 528, 269, 901, 535, 2863, 542, 8255, 950, 519, 1843, 568, 10032, 563, 1038, 2433, 8873, 281, 7183, 454, 1038, 8173, 1038, 20956, 273, 6155, 652, 5797, 5472, 20360, 3298, 10797, 825, 1219, 9337, 24786, 4311, 267, 1699, 17045, 267, 3077, 17045, 2187, 1038, 1820, 2891, 307, 13759, 19219, 281, 2715, 9574, 7351, 19219, 281, 15079, 2668, 8971, 6025, 13759, 17045, 267, 1699, 17045, 4917, 1038, 1582, 14371, 815, 2619, 318, 17839, 1676, 10947, 14682, 1429, 4590, 1038, 2619, 318, 17839, 1676, 6155, 6359, 330, 14259, 4311, 14371, 267, 1582, 14371, 10947, 318, 591, 23753, 263, 9690, 17045, 4917, 1038, 3077, 815, 1582, 14371, 10947, 318, 591, 23753, 6025, 13759, 17045, 994, 1038, 2619, 815, 1496, 339, 13759, 17045, 2639, 1038, 2619, 318, 17839, 1676, 11075, 677, 652, 6025, 13759, 267, 2619, 994, 1038 ]

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

[ 9089, 6013, 5368, 614, 13133, 725, 540, 17691, 543, 14868, 267, 799, 2709, 4195, 5380, 593, 2085, 6040, 2984, 1247, 4509, 741, 9759, 543, 2686, 4644, 269, 901, 1576, 1770, 786, 5490, 883, 713, 4241, 1858, 676, 7421, 24789, 525, 322, 2100, 30007, 781, 717, 3234, 332, 674, 8543, 24079, 281, 3733, 2195, 1299, 6181, 1742, 3126, 267, 4481, 2152, 1948, 272, 543, 1948, 273, 2854, 676, 681, 13273, 27068, 267, 11609, 676, 6424, 16019, 267, 11954, 676, 26778, 2506, 12064, 267, 543, 1577, 339, 1229, 676, 13343, 23720, 269, 3414, 2673, 6514, 540, 891, 5931, 267, 649, 2832, 547, 2263, 875, 4207, 15888, 556, 574, 2602, 2757, 8941, 547, 9029, 547, 2413, 9458, 1247, 8497, 519, 3312, 6891, 543, 6835, 11251, 1369, 873, 780, 2862, 269, 12465, 18912, 8941, 5288, 269, 556, 19960, 1441, 8747, 692, 288, 269, 8466, 2796, 540, 5929, 18912, 8941, 692, 6524, 11362, 883, 5368, 614, 13133, 725, 267, 621, 781, 1898, 547, 1174, 519, 8129, 540, 8106, 18912, 8941, 269, 1452, 2984, 1419, 6039, 5837, 2065, 5301, 267, 3450, 3407, 4245, 827, 21644, 971, 607, 19969, 267, 22838, 267, 543, 11587, 269, 3683, 942, 267, 1585, 23200, 7153, 2066, 4529, 267, 4396, 4328, 741, 4567, 607, 15851, 6386, 5293, 1524, 998, 5481, 780, 289, 269, 634, 1909, 540, 5368, 614, 13133, 566, 538, 2413, 2486, 692, 17457, 1427, 32478, 540, 5929, 18912, 8941, 1683, 3255, 585, 4589, 543, 3879, 21116, 547, 2232, 1007, 6848, 4145, 267, 4161, 11475, 267, 543, 6338, 3309, 6041, 269, 1635, 3257, 865, 267, 789, 1711, 6209, 4296, 1063, 2250, 543, 1459, 267, 3850, 7820, 3988, 547, 4497, 609, 5432, 2943, 7960, 6386, 780, 7656, 269, 22718, 717, 3234, 332, 674, 8543, 24079, 281, 3733, 2195, 1299, 6181, 1742, 692, 288, 269, 10886, 1646, 281, 2826, 2284, 607, 513, 2178, 4775, 1291, 692, 1103, 717, 3234, 332, 674, 8543, 24079, 281, 3733, 2195, 1299, 6181, 1742, 267, 2826, 2284, 5713, 607, 519, 3119, 16502, 910, 513, 22880, 4334, 547, 6671, 28402, 540, 2481, 17632, 538, 11605, 1336, 538, 1082, 3140, 18912, 8941, 269, 4173, 2990, 607, 606, 9441, 693, 519, 17121, 6202, 2126, 9744, 20502, 1200, 6043, 267, 4987, 267, 543, 8296, 267, 1818, 1200, 606, 16779, 4137, 585, 1762, 3988, 780, 289, 269, 10439, 9423, 281, 3203, 1740, 543, 2681, 5079, 7393, 2239, 1764, 692, 21837, 16019, 781, 11247, 543, 26778, 2506, 12064, 781, 4778, 1404, 1713, 5107, 538, 23187, 7553, 267, 5790, 267, 543, 8082, 2429, 519, 3126, 269, 1280, 1383, 267, 18632, 24698, 543, 10565, 20224, 11168, 8594, 543, 24457, 1282, 8090, 540, 4655, 610, 10462, 267, 2870, 513, 11617, 2502, 1995, 602, 1264, 906, 519, 2239, 780, 290, 269, 11154, 532, 3312, 8941, 585, 4207, 10083, 692, 313, 25333, 322, 2100, 30007, 5578, 2685, 3082, 338, 1134, 8153, 29631, 5515, 899, 544, 1069, 320, 1749, 543, 1295, 7974, 2720, 267, 1102, 6748, 873, 609, 2413, 2283, 4850, 1510, 9561, 8289, 540, 741, 5072, 269, 901, 1935, 2636, 585, 10578, 1915, 6384, 543, 4729, 7835, 602, 13469, 609, 2221, 781, 3988, 1247, 1869, 26621, 2245, 780, 4353, 269, 3955, 13694, 4296, 692, 288, 269, 10017, 281, 24167, 2790, 1072, 11269, 538, 17121, 6202, 9615, 11120, 1006, 692, 3528, 4259, 519, 1650, 1369, 513, 2126, 4099, 585, 30223, 12322, 267, 717, 3234, 332, 674, 8543, 24079, 281, 3733, 2195, 1299, 6181, 1742, 3091, 3255, 547, 1865, 3584, 1644, 547, 15730, 6530, 267, 3797, 267, 543, 3929, 2208, 269, 3958, 267, 3695, 875, 2790, 1072, 568, 13269, 666, 6536, 6568, 543, 1620, 1851, 3988, 780, 289, 269, 8836, 2090, 281, 15766, 908, 2518, 12563, 339, 1446, 14624, 538, 14676, 543, 8642, 9089, 692, 21008, 532, 1114, 12496, 540, 8471, 12563, 2145, 525, 2066, 2477, 543, 4525, 8711, 519, 2956, 540, 2686, 5385, 543, 9542, 538, 1148, 3029, 899, 13371, 2835, 543, 8642, 9089, 269, 4841, 949, 1382, 7648, 540, 1808, 8941, 689, 1472, 519, 1158, 543, 5659, 875, 789, 723, 1044, 9862, 585, 4207, 9458, 780, 309, 269, 10390, 692, 1607, 1576, 1770, 20217, 1053, 547, 9691, 4983, 519, 2081, 538, 799, 556, 19960, 1441, 17691, 543, 14868, 1599, 1369, 11174, 5708, 8642, 9089, 269, 1635, 4974, 1806, 971, 607, 717, 3234, 332, 674, 8543, 24079, 281, 3733, 2195, 1299, 6181, 1742, 267, 6267, 2744, 4030, 883, 519, 3860, 3157, 3297, 21130, 5929, 6386, 543, 15052, 741, 7071, 585, 519, 11972, 1379, 540, 9423, 269, 5015, 267, 15834, 4296, 5000, 6626, 5717, 4478, 2790, 1072, 267, 2528, 267, 543, 7499, 4082, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 19285, 1087, 826, 281, 717, 3234, 332, 674, 8543, 24079, 281, 3733, 2195, 1299, 6181, 1742, 1948, 273, 454, 310, 31581, 281, 681, 13273, 27068, 454, 9209, 1740, 281, 6424, 16019, 454, 8624, 832, 281, 26778, 2506, 12064, 454, 4131, 1562, 281, 13343, 23720, 454, 290, 1478, 589, 281, 19664, 2405, 2088, 454, 290, 1478, 645, 281, 18238, 5178, 531, 706, 320, 1299, 3026, 328, 681, 4428, 3626, 454, 24314, 24793, 281, 4728, 476, 273, 267, 476, 1001, 272, 454, 21812, 281, 24789, 525, 322, 2100, 30007, 454, 8310, 3018, 267, 24789, 525, 322, 2100, 30007, 5950, 519, 2034, 3390, 540, 922, 1034, 2487, 717, 3234, 332, 674, 8543, 24079, 838, 3626, 742, 3126, 267, 3733, 2195, 1299, 6181, 1742, 269, 769, 519, 1101, 3390, 267, 3988, 941, 5189, 547, 2826, 2284, 267, 519, 7168, 4775, 16502, 945, 1568, 693, 519, 17121, 6202, 2126, 9744, 585, 17684, 5346, 267, 15508, 18633, 267, 3638, 14038, 269, 717, 3234, 332, 674, 8543, 24079, 281, 3733, 2195, 1299, 6181, 1742, 1948, 272, 6806, 609, 519, 27615, 13135, 2669, 540, 835, 540, 519, 2126, 4099, 779, 3781, 5234, 267, 543, 3733, 2195, 1299, 6181, 1742, 1948, 273, 26717, 909, 519, 1985, 6640, 607, 519, 1554, 5234, 267, 1519, 2826, 2284, 267, 616, 21945, 585, 960, 543, 1310, 7128, 723, 8452, 547, 8495, 519, 10071, 563, 2026, 513, 1267, 540, 519, 22266, 4323, 630, 663, 519, 9744, 2212, 779, 29097, 1465, 1070, 519, 2550, 693, 17121, 6202, 616, 16876, 547, 519, 2679, 543, 711, 15868, 547, 979, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 3725, 19960, 1441, 6181, 1742, 543, 3733, 2195, 257, 607, 851, 540, 834, 16300, 16337, 1315, 22383, 1299, 18753, 26358, 1315, 674, 8543, 24079, 267, 23205, 16161, 267, 6181, 1742, 1299, 19088, 1108, 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, 277, 281, 19484, 519, 32148, 281, 8682, 6953, 27626, 3414, 20154, 640, 543, 4197, 14033, 268, 5719, 987, 23800, 543, 519, 2991, 5158, 692, 7072, 1384, 763, 1523, 540, 2669, 543, 519, 1310, 5158, 814, 19832, 3425, 2094, 942, 1799, 655, 3645, 269, 4014, 621, 949, 3100, 899, 513, 21693, 573, 610, 9184, 5622, 1641, 267, 3695, 891, 2093, 666, 2965, 3142, 721, 6251, 547, 2713, 16180, 2729, 269, 769, 1249, 267, 1082, 2043, 1265, 4313, 538, 5289, 2853, 543, 4978, 4478, 1018, 4523, 950, 649, 1780, 593, 269, 901, 1770, 12538, 883, 1582, 25298, 2409, 10704, 1472, 695, 16120, 1143, 267, 2282, 11546, 987, 2833, 630, 301, 14701, 338, 1070, 543, 519, 1310, 5158, 269, 1284, 3513, 1865, 1585, 4485, 547, 8508, 9019, 267, 8600, 585, 2669, 267, 543, 10128, 7096, 715, 14701, 4030, 547, 3986, 2123, 2208, 543, 8171, 780, 4089, 476, 272, 281, 16871, 18200, 1275, 910, 15531, 1290, 3228, 538, 14087, 2006, 775, 692, 288, 1713, 2460, 540, 2324, 998, 12194, 2404, 609, 2669, 3322, 16561, 922, 12491, 527, 1464, 269, 2755, 713, 1522, 3280, 18447, 267, 9301, 602, 3388, 1107, 1519, 6000, 1107, 568, 6650, 2006, 550, 2636, 721, 547, 11349, 14696, 267, 2661, 2247, 2685, 267, 543, 6536, 4514, 4296, 609, 1866, 780, 19865, 281, 14484, 633, 5675, 32653, 454, 12648, 930, 942, 547, 4760, 827, 707, 4555, 543, 4606, 3823, 9019, 269, 6333, 2055, 971, 607, 1384, 265, 1548, 2306, 596, 1034, 31604, 827, 2669, 888, 265, 1215, 1281, 3206, 827, 707, 1378, 9019, 1860, 707, 3232, 1272, 888, 265, 2052, 596, 2697, 1022, 2081, 538, 799, 14344, 707, 6650, 2006, 775, 1223, 1291, 547, 3152, 7772, 610, 7071, 585, 1272, 2496, 4089, 476, 273, 281, 1744, 16120, 545, 13756, 585, 3117, 4109, 3690, 1431, 692, 4537, 600, 753, 3494, 602, 2502, 609, 14326, 543, 824, 16447, 569, 7516, 6087, 873, 547, 7520, 7067, 267, 5583, 267, 543, 7004, 1282, 2101, 1272, 13289, 267, 1519, 2669, 269, 2290, 3532, 1907, 6964, 676, 695, 600, 753, 5001, 568, 519, 5137, 540, 16339, 778, 657, 1107, 6946, 17008, 1500, 689, 2067, 2326, 29544, 19001, 267, 15752, 267, 543, 14696, 269, 1452, 30060, 15985, 956, 4196, 607, 10827, 2456, 1063, 1480, 7919, 543, 10143, 4229, 267, 5807, 10103, 543, 3666, 1369, 2043, 543, 2950, 780, 12244, 281, 5071, 2659, 13574, 2677, 335, 778, 334, 454, 8620, 707, 1378, 20538, 16339, 778, 334, 1210, 3688, 1336, 538, 2470, 610, 707, 1753, 269, 1306, 14517, 6698, 8204, 3344, 540, 3054, 267, 1346, 2673, 547, 596, 267, 610, 6626, 2152, 8506, 3007, 269, 4495, 2347, 267, 3180, 513, 5618, 14656, 16008, 1141, 596, 2769, 14696, 585, 519, 4245, 4121, 2429, 707, 3460, 3976, 2484, 543, 5305, 1022, 27589, 12042, 1359, 2123, 2208, 780, 4089, 476, 274, 281, 29362, 3245, 14033, 268, 5719, 987, 23800, 692, 6624, 1004, 1867, 2348, 16637, 550, 13341, 1247, 18460, 4791, 2669, 267, 4122, 5219, 547, 607, 2282, 11546, 987, 2833, 630, 301, 14701, 338, 1040, 6270, 6589, 4749, 4125, 17915, 540, 4708, 267, 694, 1066, 640, 267, 543, 14955, 6463, 2648, 282, 25310, 540, 1769, 282, 22653, 687, 609, 21549, 6068, 3283, 282, 543, 1272, 8039, 13296, 1169, 2962, 543, 3375, 781, 1764, 3587, 7805, 269, 24356, 891, 9259, 3091, 3407, 4030, 883, 8471, 18408, 7282, 8296, 267, 19807, 267, 4276, 267, 543, 3483, 780, 30206, 11762, 1384, 265, 14424, 543, 4334, 1114, 6436, 7713, 1946, 715, 14701, 338, 2049, 630, 324, 3052, 1421, 12214, 267, 5626, 267, 5289, 1916, 265, 10812, 1761, 3156, 540, 715, 14701, 10752, 538, 4948, 1272, 267, 2523, 10771, 6568, 267, 6043, 267, 543, 2495, 6194, 563, 265, 13891, 622, 2436, 6220, 2609, 540, 715, 14701, 6386, 883, 1439, 6361, 3734, 1416, 543, 16236, 1489, 2533, 1131, 581, 6225, 780, 6962, 1384, 32382, 519, 7164, 14099, 540, 2669, 543, 519, 1310, 5158, 3340, 10100, 267, 7279, 267, 543, 22371, 269, 1635, 6313, 695, 16120, 545, 5389, 267, 2502, 609, 715, 14701, 3332, 267, 543, 8026, 1582, 26190, 267, 649, 666, 13720, 938, 12194, 267, 9784, 6650, 2006, 775, 267, 543, 10244, 16012, 7326, 547, 10802, 1312, 938, 2729, 543, 519, 2729, 540, 1346, 1472, 721, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 306, 659, 1042, 10426, 720, 281, 1744, 16120, 545, 22604, 547, 12280, 267, 667, 3539, 267, 543, 519, 2991, 5158, 454, 274, 5900, 2317, 906, 12595, 693, 936, 1269, 12573, 1315, 681, 276, 476, 28071, 454, 20007, 1227, 6340, 267, 649, 782, 3068, 2669, 689, 519, 4090, 649, 616, 22885, 269, 634, 1152, 22979, 649, 723, 538, 1272, 568, 602, 835, 1554, 649, 786, 5884, 269, 8616, 538, 2413, 5375, 2528, 649, 21183, 2476, 689, 713, 1702, 543, 12955, 568, 1419, 21787, 269, 14134, 338, 666, 5965, 519, 12955, 585, 2669, 267, 5965, 519, 12955, 1268, 779, 6068, 3283, 585, 741, 2669, 543, 948, 581, 516, 8491, 1004, 547, 2097, 547, 2474, 609, 519, 2530, 540, 18825, 789, 2648, 563, 1103, 713, 1576, 596, 786, 849, 1451, 875, 547, 798, 606, 589, 5984, 2677, 335, 778, 334, 269, 634, 589, 5984, 2677, 335, 778, 334, 568, 1776, 1259, 547, 561, 990, 5944, 4217, 938, 19644, 835, 547, 5884, 29596, 269, 634, 16008, 2488, 2620, 11812, 585, 519, 1272, 540, 519, 1367, 945, 568, 538, 519, 1184, 540, 610, 814, 2907, 8977, 539, 543, 6770, 17615, 19479, 269, 634, 9837, 540, 519, 2677, 335, 778, 334, 568, 547, 1711, 513 ]

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

[ 2347, 1142, 20372, 1210, 513, 14610, 267, 1287, 2697, 1018, 1826, 540, 20372, 621, 568, 563, 13043, 454, 17582, 18694, 454, 23322, 2524, 540, 1230, 525, 454, 17582, 18694, 454, 23322, 2524, 540, 1230, 525, 454, 1432, 2306, 513, 13409, 1114, 689, 513, 12718, 610, 513, 13306, 286, 2422, 713, 5363, 4199, 609, 707, 1053, 547, 1491, 741, 9511, 1983, 547, 519, 1985, 1377, 607, 789, 2259, 7114, 519, 4162, 540, 513, 13409, 543, 9236, 873, 547, 824, 476, 274, 5937, 5546, 563, 13043, 454, 17582, 18694, 454, 28139, 12455, 23426, 23037, 454, 17582, 18694, 454, 28139, 12455, 23426, 23037, 454, 24876, 707, 1053, 513, 4960, 547, 4990, 29977, 883, 6688, 602, 1118, 2631, 547, 873, 563, 13043, 454, 17582, 18694, 454, 10908, 27443, 281, 634, 5900, 1026, 2373, 540, 12443, 326, 976, 454, 17582, 18694, 454, 10908, 27443, 281, 634, 5900, 1026, 2373, 540, 12443, 326, 976, 454, 8196, 713, 29395, 609, 519, 20700, 8081, 7689, 281, 634, 5900, 1026, 2373, 540, 12443, 326, 976, 563, 13043, 454, 17582, 18694, 454, 19352, 532, 12443, 326, 976, 454, 17582, 18694, 454, 19352, 532, 12443, 326, 976, 454, 4415, 713, 5373, 4976, 267, 707, 1126, 786, 723, 1187, 1565, 827, 519, 7114, 2934, 540, 29977, 563, 13043, 454, 17582, 18694, 454, 10481, 5852, 281, 24951, 3004, 19649, 6950, 1299, 4033, 25609, 454, 17582, 18694, 454, 10481, 5852, 281, 24951, 3004, 19649, 6950, 1299, 4033, 25609, 454, 8196, 713, 4199, 547, 948, 707, 1053, 1020, 741, 1620, 540, 25671, 6950, 543, 824, 1079, 8820, 5546, 269, 4841, 786, 5635, 519, 10305, 540, 25671, 6950, 547, 1346, 540, 824, 7077, 5515, 267, 971, 607, 12730, 543, 9065, 1023, 267, 538, 713, 9511, 2534, 563, 13043, 454, 17582, 18694, 454, 10908, 27443, 281, 9351, 11150, 454, 17582, 18694, 454, 10908, 27443, 281, 9351, 11150, 454, 8196, 713, 29395, 609, 519, 20700, 8081, 7689, 281, 9351, 11150, 563, 13043, 454, 17582, 18694, 454, 17730, 9046, 5999, 585, 32309, 454, 17582, 18694, 454, 17730, 9046, 5999, 585, 32309, 454, 20055, 707, 1053, 3142, 6128, 547, 1272, 256, 769, 713, 3635, 267, 707, 1053, 786, 1711, 2262, 2042, 547, 13173, 513, 3337, 609, 519, 3259, 540, 1142, 2427, 13042, 563, 13043, 454, 17582, 18694, 454, 19352, 532, 543, 17291, 12443, 326, 976, 454, 17582, 18694, 454, 19352, 532, 543, 17291, 12443, 326, 976, 454, 4002, 713, 4976, 267, 707, 1126, 786, 1451, 547, 2012, 29977, 543, 2697, 873, 538, 519, 1158, 1472, 1864, 269, 0, 2791, 949, 849, 899, 692, 19177, 6472, 24964, 593, 513, 4155, 609, 3586, 29702, 269, 634, 1286, 16765, 809, 519, 1085, 2393, 518, 693, 476, 1321, 522, 262, 22018, 267, 1287, 1558, 519, 11332, 693, 476, 1691, 269, 876, 543, 519, 27576, 693, 476, 1626, 269, 876, 269, 634, 27576, 1558, 519, 1085, 2393, 518, 693, 476, 1704, 269, 876, 1287, 621, 16765, 809, 519, 11332, 693, 476, 1240, 269, 876, 269, 2311, 1018, 942, 1705, 519, 11332, 543, 519, 1085, 2393, 518, 2743, 2496, 2467, 543, 7982, 692, 289, 6929, 7669, 338, 693, 7466, 519, 3432, 602, 513, 5757, 568, 13576, 267, 19654, 689, 835, 4779, 1819, 10935, 547, 1776, 543, 1394, 1586, 267, 2921, 476, 1321, 3764, 15587, 269, 1215, 1279, 1131, 621, 723, 3144, 1864, 538, 1869, 1216, 2496, 292, 2675, 531, 1807, 692, 4263, 4591, 9799, 11895, 6728, 972, 568, 513, 1360, 1279, 15583, 1807, 269, 5565, 1004, 616, 538, 513, 31657, 543, 865, 18214, 519, 15583, 1807, 607, 621, 568, 3001, 20733, 267, 3976, 4946, 741, 3432, 547, 602, 540, 519, 3001, 3268, 269, 3267, 1215, 1082, 3268, 616, 972, 593, 519, 15583, 1807, 2496, 297, 18804, 717, 8538, 2812, 692, 25111, 281, 476, 275, 7420, 5426, 1384, 22832, 689, 654, 2454, 28386, 1185, 519, 1655, 7778, 609, 1010, 2626, 692, 763, 575, 8538, 559, 26357, 693, 513, 2557, 540, 835, 7914, 1142, 2034, 267, 1101, 942, 267, 543, 1079, 829, 2034, 267, 519, 2034, 942, 267, 543, 952, 519, 2978, 2454, 3684, 27499, 512, 1231, 693, 513, 3586, 544, 1412, 329, 7927, 262, 829, 3813, 543, 952, 972, 616, 795, 1412, 329, 7927, 262, 3144, 1063, 519, 575, 8538, 559, 543, 519, 3684, 1927, 1287, 795, 568, 519, 2557, 2053, 519, 942, 3144, 23241, 329, 815, 476, 736, 263, 544, 1341, 476, 272, 25589, 663, 692, 329, 815, 476, 1626, 263, 544, 1341, 476, 273, 3738, 1547, 1547, 1547, 942, 568, 476, 1626, 7643, 1317, 519, 575, 8538, 559, 2306, 476, 3953, 26357, 693, 476, 273, 26357, 829, 2034, 692, 7712, 621, 781, 519, 1482, 795, 543, 544, 538, 1142, 3830, 594, 666, 4194, 873, 1412, 13678, 6714, 3585, 262, 547, 1265, 602, 544, 568, 476, 274, 543, 795, 568, 476, 3199, 692, 11997, 476, 3199, 26357, 267, 799, 1797, 476, 10037, 512, 1231, 952, 519, 3684, 568, 1175, 827, 547, 1491, 513, 17646, 950, 519, 575, 8538, 559, 6238, 610, 476, 3199, 512, 1231, 952, 621, 1175, 814, 3144, 835, 269, 0, 9943, 692, 2162, 2913, 781, 2845, 596, 538, 780, 528, 692, 10673, 1405, 723, 513, 5530, 306, 19281, 2272, 286, 8073, 835, 1934, 2439, 9943, 692, 528, 692, 1012, 2910, 292, 476, 4968, 272, 10432, 476, 1724, 692, 2421, 281, 661, 32642, 3502, 564, 6033, 692, 2412, 692, 271, 692, 1556, 692, 258, 2910, 292, 476, 4968, 272, 10432, 476, 1724, 8107, 476, 4968, 272, 594, 692, 292, 32642, 3502, 564, 6033, 454, 10481, 3073, 807, 15306, 692, 7476, 513, 1863, 12744, 540, 891, 11872, 267, 1175, 4283, 707, 4757, 2630, 780, 9943, 454, 4462, 6674, 2776, 1613, 692, 2171, 4137, 856, 875, 547, 1265, 594, 14729, 345, 543, 1413, 693, 15914, 519, 1535, 543, 586, 7852, 593, 513, 11237, 269, 1284, 1287, 2253, 3184, 476, 280, 630, 3698, 3005, 1040, 1284, 849, 960, 998, 1896, 1806, 563, 4596, 7838, 10345, 454, 5719, 845, 762, 645, 3672, 454, 24165, 293, 563, 7804, 269, 17394, 454, 31159, 14154, 454, 12218, 11872, 454, 5183, 294, 2464, 454, 1556, 454, 310, 3036, 9169, 454, 298, 2752, 7246, 454, 1839, 26042, 1012, 15019, 538, 7177, 543, 15306, 692, 1607, 476, 1556, 2985, 4147, 11872, 729, 23345, 676, 661, 32642, 3502, 564, 6033, 593, 14349, 5437, 476, 1691, 267, 476, 1001, 276, 269, 634, 4147, 11872, 12851, 547, 8107, 476, 4968, 272, 594, 693, 11908, 4659, 540, 5303, 6026, 676, 3220, 269, 17394, 538, 14400, 476, 1001, 276, 269, 4595, 922, 14202, 267, 621, 814, 4607, 476, 2412, 5784, 269, 1280, 2147, 2326, 1294, 1546, 845, 762, 645, 3672, 538, 7177, 543, 15306, 693, 11908, 4659, 540, 5303, 780, 9943, 692, 1012, 17352, 585, 2910, 292, 476, 4968, 272, 10432, 476, 1724, 692, 9943, 692, 9943, 692, 2162, 1548, 568, 918, 12609, 2496, 2971, 1411, 666, 4444, 610, 7118, 811, 918, 12609, 693, 20471, 543, 28099, 655, 621, 585, 1362, 4967, 267, 1353, 10274, 267, 15460, 267, 543, 811, 2439, 14630, 23095, 281, 476, 1556, 270, 1691, 270, 1428, 454, 4596, 292, 1109, 4968, 272, 281, 1109, 9288, 2559, 923, 1109, 1993, 1109, 5719, 845, 762, 1109, 289, 3672, 10432, 1109, 1724, 15733, 1109, 1993, 1109, 19327, 281, 2340, 507, 495, 594, 344, 345, 3980, 360, 345, 323, 288, 589, 594, 344, 345, 16673, 1109, 2041, 1109, 27168, 267, 1109, 17463, 267, 1109, 528, 1109, 14706, 269, 594, 344, 345, 271, 1109, 15290, 1109, 29589, 30692, 7611, 28812, 1109, 22131, 13240, 1109, 12671, 1109, 344, 1109, 610, 1109, 345, 1109, 9471, 594, 344, 345, 271, 594, 344, 267, 296, 345, 267, 296, 344, 345, 25104, 371, 15585, 566, 23155, 1109, 9471, 1109, 1492, 648, 332, 281, 586, 284, 344, 1341, 11276, 1412, 1990, 284, 345, 1341, 323, 345, 2340, 507, 495, 594, 344, 345, 3980, 360, 345, 323, 288, 589, 2340, 507, 495, 594, 815, 3980, 360, 586, 1341, 11276, 3738, 345, 1341, 323, 345, 546, 288, 586, 345, 589, 2340, 507, 495, 2340, 507, 495, 2340, 507, 495, 2340, 507, 495, 2485, 379, 586, 262, 1990, 9364, 288, 266, 11276, 1990, 262, 546, 288, 266, 323, 345, 586, 262, 546, 288, 266, 11276, 323, 345, 546, 288, 3980, 360, 3980, 360, 3980, 360, 3980, 360, 589, 589, 589, 589, 2340, 507, 495, 10085, 4501, 360, 1990, 546, 288, 284, 271, 589, 2340, 507, 495, 546, 345, 4501, 360, 586, 262, 546, 288, 284, 271, 589, 2910, 292, 1109, 4968, 272, 281, 1109, 9288, 2559, 923, 1109, 1993, 1109, 5719, 845, 762, 1109, 289, 3672, 10432, 1109, 1724, 594, 344, 345, 296, 1341, 344, 7251, 345, 288, 594, 344, 345, 271, 7352, 566, 1109, 1993, 1109, 344, 2073, 345, 296, 2073, 1109, 344, 345, 1109, 296, 5231, 1109, 5976, 1109, 1109, 15184, 281, 586, 815, 344, 6523, 15184, 266, 345, 7562, 15184, 476, 272, 1990, 815, 6629, 903, 514, 15184, 266, 345, 6523, 15184, 476, 272, 2340, 507, 495, 594, 815, 3980, 360, 546, 288, 1990, 272, 589, 476, 272, 2340, 507, 495, 476, 273, 594, 344, 272, 3980, 360, 546, 272, 589, 2340, 507, 495, 594, 344, 272, 476, 272, 4501, 360, 344, 1990, 272, 323, 272, 589, 2340, 507, 495, 2340, 507, 495, 476, 273, 594, 345, 284, 3980, 360, 546, 272, 284, 3980, 360, 630, 344, 6523, 15184, 266, 345, 7562, 15184, 546, 264, 476, 272, 589, 589, 2340, 507, 495, 2340, 507, 495, 2340, 507, 495, 476, 273, 476, 273, 476, 273, 476, 273, 2485, 379, 6523, 16564, 3980, 360, 586, 546, 288, 266, 7562, 16564, 3980, 360, 1990, 546, 288, 266, 273, 338, 1775, 15184, 522, 15184, 4501, 360, 344, 345, 323, 288, 589, 589, 589, 2340, 507, 495, 2340, 507, 495, 2340, 507, 495, 594, 815, 586, 546, 9590, 815, 1990, 546, 9590, 815, 586, 345, 323, 288, 1990, 3980, 360, 586, 3980, 360, 586, 345, 3980, 360, 589, 589, 589, 476, 273, 476, 273, 594, 345, 284, 6523, 16564, 296, 1341, 345, 514, 16564, 296, 1341, 273, 1910, 1775, 15184, 522, 15184, 296, 344, 345, 476, 272, 2340, 507, 495, 2340, 507, 495, 476, 273, 476, 273, 594, 344, 272, 3980, 360, 546, 272, 284, 3980, 360, 630, 6629, 903, 514, 15184, 266, 345, 6523, 15184, 546, 288, 264, 589, 589, 2340, 507, 495, 2340, 507, 495, 2340, 507, 495, 476, 273, 476, 273, 476, 273, 476, 273, 2485, 379, 7562, 16564, 4501, 360, 586, 546, 288, 266, 6523, 16564, 3980, 360, 1990, 546, 288, 6629, 273, 338, 1775, 15184, 524, 15184, 4501, 360, 344, 345, 323, 288, 589, 589, 589, 476, 273, 476, 273, 594, 344, 272, 7562, 16564, 296, 1341, 345, 657, 16564, 594, 6567, 273, 344, 1775, 15184, 522, 15184, 296, 344, 345, 2340, 507, 495, 2340, 507, 495, 594, 815, 586, 1990, 546, 288, 284, 630, 344, 6523, 15184, 266, 345, 7562, 15184, 7565, 6629, 903, 514, 15184, 266, 345, 6523, 15184, 264, 323, 288, 586, 272, 476, 272, 4501, 360, 476, 272, 476, 272, 3980, 360, 589, 589, 2910, 292, 1109, 4968, 272, 281, 1109, 9288, 2559, 923, 1109, 1993, 1109, 5719, 845, 762, 1109, 289, 3672, 10432, 1109, 1724, 2340, 507, 495, 2340, 507, 495, 2340, 507, 495, 2485, 379, 6629, 19561, 15184, 524, 15184, 586, 546, 288, 266, 338, 1775, 15184, 16564, 1990, 546, 288, 23444, 6523, 16564, 6629, 7562, 16564, 264, 586, 345, 323, 288, 3980, 360, 288, 3980, 360, 288, 3980, 360, 288, 476, 273, 476, 273, 594, 344, 272, 476, 272, 6629, 338, 14269, 15184, 521, 15184, 296, 345, 266, 328, 15184, 521, 15184, 296, 344, 23444, 6523, 16564, 6629, 7562, 16564, 264, 296, 586, 345, 5430, 16564, 284, 476, 272, 266, 6523, 273, 15184, 5609, 16564, 284, 476, 272, 6629, 6523, 273, 15184, 1775, 15184, 522, 15184, 284, 5609, 476, 273, 15184, 476, 273, 476, 273, 476, 273, 630, 296, 344, 266, 296, 1990, 264, 630, 296, 345, 6629, 296, 586, 264, 594, 345, 272, 476, 273, 1341, 476, 273, 5430, 273, 15184, 266, 296, 521, 12011, 345, 15184, 630, 296, 344, 266, 296, 1990, 264, 630, 296, 344, 6629, 296, 1990, 264, 594, 344, 272, 1341, 5430, 273, 15184, 6629, 296, 521, 12011, 345, 15184, 476, 273, 476, 273, 630, 296, 344, 6629, 296, 1990, 594, 344, 272, 476, 272, 5609, 476, 273, 15184, 266, 296, 586, 345, 338, 273, 15184, 476, 273, 20232, 1109, 9471, 281, 25104, 371, 16547, 525, 1109, 514, 1109, 6518, 1109, 296, 586, 272, 337, 1109, 296, 345, 272, 529, 1109, 10946, 3065, 546, 594, 586, 284, 271, 284, 6629, 594, 6567 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9556, 2544, 476, 272, 1107, 8865, 454, 27287, 15154, 267, 6478, 14409, 267, 543, 12551, 14752, 5811, 454, 291, 10735, 11676, 754, 718, 814, 1175, 1044, 21534, 607, 519, 19608, 15440, 693, 7577, 2473, 312, 313, 269, 1261, 5249, 585, 513, 2757, 3919, 585, 476, 1015, 1296, 607, 513, 8111, 6665, 528, 543, 729, 6035, 513, 2990, 693, 7577, 2473, 312, 313, 630, 320, 1007, 1376, 5346, 2754, 264, 602, 729, 5275, 606, 19608, 15440, 269, 634, 1376, 5346, 2754, 568, 2484, 689, 1373, 2757, 543, 814, 513, 2528, 540, 8112, 543, 22371, 269, 1306, 606, 1383, 267, 972, 568, 1100, 6101, 10571, 3009, 693, 519, 1376, 5346, 269, 2991, 519, 1101, 3923, 593, 519, 2816, 267, 646, 3533, 16137, 602, 519, 1376, 5346, 568, 1818, 1390, 3356, 543, 602, 3606, 5520, 786, 581, 21534, 269, 1261, 568, 4278, 2683, 827, 519, 3377, 269, 1403, 4376, 267, 621, 1797, 811, 2816, 3354, 585, 1864, 269, 1261, 814, 1044, 25461, 609, 17849, 513, 5274, 12754, 4937, 626, 585, 1010, 1507, 8257, 269, 1261, 9060, 519, 3501, 11134, 1765, 16039, 269, 18582, 5459, 267, 855, 1282, 519, 5967, 267, 646, 9060, 856, 602, 1352, 814, 513, 1507, 932, 8811, 340, 1695, 7699, 602, 1352, 1131, 899, 547, 3142, 547, 960, 1142, 1554, 269, 1879, 20402, 1946, 1282, 519, 5967, 267, 15516, 269, 18582, 5459, 5018, 519, 1739, 267, 968, 288, 1353, 538, 519, 4139, 4750, 540, 31071, 2657, 5004, 1336, 602, 2566, 17379, 936, 519, 1576, 540, 513, 1554, 538, 5520, 945, 4547, 741, 2915, 547, 960, 267, 1247, 621, 9782, 585, 2915, 5411, 945, 2451, 741, 4996, 1186, 693, 1753, 543, 585, 1875, 1673, 690, 5411, 1848, 18496, 729, 1869, 26617, 543, 4941, 547, 798, 930, 811, 1382, 593, 713, 4101, 1888, 563, 5475, 3257, 930, 1382, 267, 646, 7691, 602, 1082, 1804, 3906, 971, 607, 5616, 543, 8835, 723, 1185, 4620, 7888, 4507, 269, 5015, 267, 646, 729, 2111, 547, 1265, 519, 1739, 1344, 2228, 630, 3963, 1411, 9701, 20780, 2659, 13928, 1677, 4518, 27366, 689, 5291, 2517, 4178, 19544, 4428, 15838, 14006, 2593, 270, 1001, 274, 270, 6187, 270, 736, 7933, 9233, 3562, 22086, 3613, 816, 5332, 318, 31003, 6795, 278, 278, 11258, 264, 3823, 519, 2640, 540, 8744, 10130, 547, 960, 912, 5475, 2542, 519, 1382, 267, 18496, 568, 1312, 14281, 543, 18617, 602, 15516, 269, 18582, 5459, 1131, 581, 513, 1390, 16926, 543, 1131, 899, 547, 16926, 1200, 1256, 952, 1352, 814, 547, 3142, 1200, 932, 8811, 340, 1695, 7699, 547, 960, 1142, 1554, 269, 634, 1152, 1966, 568, 602, 646, 2115, 547, 1865, 519, 3510, 609, 519, 16628, 1354, 646, 666, 13166, 16926, 1200, 563, 5278, 1808, 4930, 593, 713, 1888, 547, 1205, 596, 3323, 912, 307, 745, 9116, 267, 681, 269, 630, 1001, 274, 1040, 2368, 8637, 1294, 1373, 4620, 7888, 607, 513, 7132, 269, 14825, 12067, 5240, 267, 476, 6434, 263, 4792, 280, 272, 264, 8158, 689, 4179, 2517, 14142, 3491, 26810, 10687, 4318, 345, 2889, 15383, 6745, 337, 1211, 12975, 270, 4777, 7498, 31690, 21492, 267, 590, 269, 630, 1001, 277, 1040, 623, 1115, 538, 519, 9036, 269, 5274, 12754, 5004, 4139, 6226, 652, 267, 476, 2190, 263, 275, 1070, 476, 1704, 268, 866, 269, 8158, 689, 4179, 2517, 14142, 3491, 26810, 10687, 4318, 345, 2889, 15383, 6745, 337, 1211, 12975, 270, 4777, 7498, 289, 1046, 518, 267, 681, 269, 570, 1421, 12928, 1047, 569, 267, 808, 269, 590, 1421, 31661, 518, 267, 590, 269, 645, 1421, 29154, 321, 267, 681, 269, 918, 1421, 1299, 5576, 340, 6975, 267, 595, 269, 631, 269, 630, 1001, 273, 1040, 2776, 14083, 7634, 540, 9441, 779, 2915, 4527, 593, 2566, 543, 10721, 11994, 269, 4139, 4750, 540, 31071, 2657, 5004, 267, 476, 276, 263, 272, 1070, 476, 1428, 268, 1789, 269, 5291, 2517, 11459, 269, 8742, 3820, 4318, 345, 2889, 15383, 6745, 337, 1211, 12975, 281, 14225, 279, 270, 1015, 269, 8099, 279, 7498, 5629, 596, 723, 8737, 2542, 827, 713, 1888, 543, 17265, 519, 4282, 2326, 267, 5225, 2328, 513, 476, 273, 22240, 1957, 630, 32355, 538, 1557, 3898, 610, 1627, 1299, 589, 3898, 264, 5466, 519, 1739, 2055, 912, 6826, 2386, 547, 1489, 707, 7440, 609, 8100, 547, 519, 4282, 13220, 543, 707, 1382, 269, 630, 2140, 2985, 14905, 3898, 994, 24591, 1306, 21188, 645, 4785, 476, 6200, 3525, 476, 272, 8865, 570, 454, 301, 289, 281, 1284, 798, 711, 1191, 961, 4574, 269, 16270, 19280, 267, 649, 798, 606, 3312, 1957, 14311, 585, 596, 563, 763, 2022, 1557, 476, 273, 3817, 476, 278, 7902, 1101, 593, 5440, 20031, 1512, 10749, 269, 0, 31413, 5794, 22994, 1006, 630, 308, 4456, 264, 568, 513, 1007, 1523, 6035, 585, 6061, 4683, 6283, 1062, 2042, 267, 7700, 547, 4227, 6808, 20316, 267, 11626, 5533, 543, 10688, 1472, 23195, 2127, 799, 568, 24482, 606, 7960, 18229, 2344, 269, 674, 5217, 519, 7960, 6384, 538, 519, 2011, 11898, 543, 593, 519, 2666, 267, 2919, 1007, 4066, 616, 2111, 547, 16641, 1996, 6861, 6283, 1102, 2858, 23461, 540, 519, 2462, 4872, 267, 1818, 621, 2556, 547, 1020, 772, 4456, 2533, 538, 519, 19251, 777, 565, 2478, 543, 6237, 6283, 5823, 269, 9122, 593, 1007, 4066, 543, 2413, 1870, 4485, 267, 7311, 519, 1985, 5108, 18229, 5989, 2306, 621, 5827, 540, 4259, 909, 513, 3209, 2011, 6808, 1369, 519, 4683, 1604, 269, 901, 2013, 1353, 6663, 547, 2263, 519, 4683, 2011, 3560, 5383, 267, 3226, 10073, 540, 772, 4456, 267, 799, 1522, 581, 606, 4244, 1985, 5108, 2011, 6283, 1062, 269, 28582, 2590, 547, 519, 6394, 10512, 1239, 543, 1374, 12644, 540, 519, 772, 4456, 267, 538, 713, 1957, 267, 649, 786, 2119, 547, 4766, 513, 3818, 1935, 4974, 3604, 1063, 2757, 18229, 6283, 543, 772, 4456, 5106, 269, 634, 1101, 1900, 540, 519, 1353, 5161, 540, 10747, 606, 2011, 11898, 8760, 585, 772, 4456, 5692, 543, 946, 540, 10858, 4170, 585, 2011, 12445, 3028, 7426, 543, 2034, 851, 540, 519, 1353, 6257, 7900, 772, 4456, 5989, 543, 1374, 540, 9825, 760, 2176, 2556, 585, 7299, 1491, 11325, 543, 13941, 630, 309, 307, 5357, 264, 6472, 269, 26346, 1374, 20487, 568, 711, 3769, 538, 713, 1353, 855, 3908, 4162, 616, 8612, 2687, 547, 519, 966, 307, 5357, 10672, 602, 616, 5833, 689, 519, 1449, 2164, 269, 1306, 2484, 607, 966, 307, 5357, 6472, 723, 711, 3323, 741, 5692, 2943, 267, 519, 772, 4456, 12427, 616, 693, 519, 3942, 540, 1646, 547, 1305, 909, 741, 2104, 5106, 269, 634, 4397, 7678, 2488, 1175, 16666, 10054, 540, 519, 13766, 540, 9591, 519, 1007, 6283, 15155, 2305, 1369, 519, 18229, 2872, 267, 2390, 13321, 4540, 1870, 2238, 543, 6042, 563, 20694, 641, 9567, 657, 267, 918, 1421, 21208, 565, 752, 529, 267, 715, 1421, 1299, 932, 787, 1087, 565, 712, 529, 267, 717, 269, 630, 1708, 271, 1040, 7913, 18618, 12454, 24892, 3684, 1565, 585, 519, 1646, 540, 5841, 4987, 3156, 538, 5663, 269, 4139, 4750, 540, 8950, 21091, 19007, 267, 476, 3451, 263, 276, 1070, 476, 275, 3066, 268, 275, 4375, 563, 289, 1301, 335, 1735, 752, 529, 267, 661, 269, 715, 1421, 966, 331, 1695, 690, 1014, 14269, 267, 661, 269, 594, 1421, 1299, 30110, 5362, 267, 808, 269, 595, 269, 630, 1001, 277, 1040, 1133, 2006, 2740, 17224, 658, 589, 7878, 7010, 585, 6283, 4702, 281, 7351, 2259, 543, 2104, 2591, 269, 4139, 4750, 540, 18815, 3163, 543, 5303, 267, 476, 276, 263, 274, 1070, 476, 9340, 268, 14338, 563, 289, 4768, 534, 990, 267, 589, 1421, 1299, 681, 752, 553, 267, 808, 1421, 630, 1708, 272, 1040, 27588, 2011, 11898, 585, 4683, 2011, 10688, 281, 589, 2689, 540, 2035, 543, 4485, 269, 18776, 538, 17224, 18209, 7070, 267, 476, 10219, 267, 476, 272, 268, 2767, 563, 289, 9618, 611, 342, 1690, 267, 590, 1421, 29336, 267, 590, 1421, 3026, 690, 328, 267, 715, 1421, 623, 3019, 1177, 8403, 267, 670, 1421, 932, 826, 8619, 267, 589, 269, 645, 1421, 1299, 5440, 30501, 267, 772, 269, 630, 1001, 280, 267, 2904, 1040, 29853, 2359, 585, 4683, 2011, 10688, 269, 769, 8331, 31131, 10613, 32600, 267, 22219, 267, 16422, 269, 476, 10170, 268, 9262, 563, 289, 1014, 267, 670, 1421, 18000, 267, 1627, 1421, 11809, 784, 267, 590, 1421, 1299, 18681, 267, 2473, 269, 630, 1708, 272, 1040, 10495, 540, 772, 4456, 543, 20473, 6846, 1764, 593, 519, 1604, 1759, 593, 5691, 19426, 269, 17224, 18209, 3163, 543, 5303, 267, 476, 14093, 267, 476, 272, 268, 277, 563, 289, 2784, 5112, 267, 590, 269, 630, 1708, 271, 1040, 12124, 5794, 22994, 1006, 630, 308, 4456, 264, 1523, 540, 4238, 642, 272, 269, 476, 271, 269, 12529, 518, 311, 267, 11785, 267, 476, 276, 563, 290, 5300, 2917, 267, 645, 1421, 630, 1708, 273, 1040, 12124, 5025, 597, 623, 2176, 547, 1711, 476, 1220, 552, 309, 307, 5357, 9825, 760, 2176, 585, 589, 4456, 3028, 269, 8158, 689, 4179, 2517, 323, 1258, 539, 329, 2593, 270, 1708, 273, 270, 4905, 270, 2918, 270, 18076, 25101, 268, 7964, 3562, 268, 22056, 268, 1220, 17272, 339, 565, 268, 3200, 760, 2176, 16519, 8584, 600, 28129, 13045, 293, 8150, 267, 630, 1708, 273, 1070, 8549, 28645, 10029, 269, 8158, 689, 4179, 2517, 4178, 8807, 12711, 10993, 270, 340, 553, 270, 611, 341, 2331, 318, 6016, 725, 270, 18076, 318, 1515, 8548, 984, 1006, 13045, 294, 5535, 267, 700, 269, 589, 1421, 20574, 808, 269, 717, 269, 1299, 8349, 710, 661, 269, 700, 269, 630, 1708, 272, 1040, 12124, 2011, 10688, 281, 589, 3102, 2689, 543, 13354, 2079, 609, 14628, 543, 3167, 2666, 6283, 585, 26655, 2104, 1382, 267, 18815, 3194, 3487, 595, 281, 24021, 16370, 267, 476, 15171, 267, 476, 272, 268, 4029, 563, 294, 3326, 333, 1157, 267, 966, 1421, 21208, 20199, 267, 631, 1421, 4210, 4660, 267, 631, 1421, 7137, 1782, 267, 808, 269, 1299, 667, 345, 1731, 639, 267, 715, 269, 630, 1708, 271, 1040, 589, 6396, 1108, 543, 1101, 2164, 547, 2708, 519, 1761, 540, 4683, 2011, 10688, 2035, 267, 17224, 18209, 2342, 10985, 267, 645, 867, 324, 14513, 267, 5333, 476, 1708, 271, 269, 8158, 689, 4179, 2517, 601, 756, 6155, 331, 337, 19709, 270, 9610, 275, 4817, 270, 272, 12458, 4488, 1708, 271, 268, 11740, 8566, 3326, 333, 1157, 15005, 454, 295, 14575, 267, 631, 1421, 630, 1708, 273, 1040, 11628, 5794, 22994, 1006, 281, 10369, 1353, 585, 6673, 3722, 269, 8158, 689, 8940, 269, 2651, 338, 5797, 576, 2593, 587, 374, 18080, 587, 374, 12304, 3146, 548, 1162, 454, 295, 1177, 9469, 267, 589, 269, 808, 1421, 630, 1708, 271, 1040, 5754, 1495, 2967, 786, 1118, 10760, 6517, 585, 772, 828, 779, 2011, 3454, 328, 3028, 269, 8158, 689, 4179, 2517, 4178, 31677, 591, 613, 2593, 270, 1708, 271, 270, 272, 270, 277, 270, 13975, 4366, 274, 10463, 270, 1506, 1495, 320, 604, 2391, 21307, 268, 21310, 25101, 2389, 1314, 328, 268, 806, 268, 1708, 271, 454, 298, 7315, 267, 631, 269, 589, 1421, 661, 4701, 267, 654, 1421, 5617, 12661, 753, 267, 570, 1421, 808, 753, 338, 839, 267, 667, 1421, 1299, 654, 1115, 267, 717, 269, 630, 1001, 278, 1040, 772, 16787, 2861, 6808, 2079, 281, 589, 8471, 13057, 5943, 1759, 593, 3332, 5619, 269, 18815, 1382, 3545, 807, 267, 476, 2420, 267, 476, 276, 6078, 268, 20862, 563, 298, 334, 385, 374, 331, 752, 267, 589, 1421, 1299, 654, 778, 267, 667, 269, 630, 1001, 279, 1040, 15486, 540, 6808, 20316, 538, 4683, 2127, 269, 8865, 540, 12996, 269, 769, 590, 9391, 5680, 540, 4762, 3720, 630, 14157, 269, 476, 6872, 267, 533, 269, 476, 18089, 866, 1040, 661, 7894, 7070, 269, 8158, 689, 4179, 2517, 4178, 11075, 338, 20813, 3720, 3820, 270, 14895, 270, 3333, 338, 20813, 9706, 4206, 270, 1001, 279, 270, 1240, 270, 3333, 338, 20813, 318, 8882, 15644, 1001, 279, 318, 18089, 866, 15005, 454, 31690, 267, 918, 269, 623, 1421, 1299, 12017, 267, 918, 269, 595, 269, 630, 1001, 272, 1040, 1323, 3608, 27967, 22051, 3328, 5690, 585, 519, 4108, 772, 16787, 8939, 896, 1895, 3375, 6194, 269, 11310, 15369, 7010, 267, 476, 2190, 263, 277, 1070, 476, 279, 6507, 268, 6434, 280, 563, 299, 1495, 6199, 267, 808, 1421, 6022, 1067, 3780, 267, 918, 269, 700, 1421, 1299, 8277, 325, 26856, 267, 645, 269, 630, 1001, 279, 267, 5181, 1040, 12124, 2011, 6808, 2359, 630, 7473, 300, 264, 6388, 538, 4872, 1606, 600, 9482, 2427, 13716, 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 ]

[ 693, 10199, 476, 5780, 3162, 888, 12901, 541, 8157, 17781, 267, 6252, 267, 610, 1899, 540, 20173, 1472, 519, 3047, 267, 693, 476, 5780, 4113, 1789, 12664, 590, 563, 1432, 20173, 568, 7507, 888, 1432, 20173, 568, 12924, 290, 888, 1432, 20173, 568, 14480, 539, 514, 888, 8489, 568, 519, 19778, 888, 299, 3539, 3592, 3492, 29182, 1472, 519, 3162, 24504, 267, 19778, 781, 2012, 1797, 968, 641, 22683, 547, 519, 11848, 1848, 898, 1131, 581, 9247, 9764, 4849, 585, 519, 856, 4148, 2130, 21303, 18686, 267, 799, 10301, 4724, 519, 7013, 9133, 540, 3162, 3013, 630, 16341, 476, 7785, 5195, 1496, 280, 3583, 5998, 316, 2476, 1070, 543, 585, 1079, 9030, 2377, 599, 906, 267, 519, 17664, 7256, 543, 454, 9989, 4896, 2661, 538, 19778, 888, 12901, 541, 18377, 568, 519, 1152, 11782, 609, 1100, 8628, 1480, 3110, 2787, 269, 1703, 616, 267, 2705, 267, 8628, 1480, 17260, 267, 1141, 3744, 543, 1489, 5234, 2661, 585, 851, 540, 519, 1032, 593, 513, 15914, 4493, 269, 634, 11782, 540, 19778, 2306, 909, 1034, 540, 519, 21303, 3148, 269, 0, 288, 571, 340, 14765, 630, 1220, 275, 264, 5342, 513, 1353, 547, 12290, 519, 1764, 540, 1875, 268, 698, 3472, 1116, 6917, 7694, 593, 6710, 543, 547, 8268, 538, 799, 1604, 3609, 7459, 538, 2069, 543, 9897, 666, 581, 811, 2500, 538, 4227, 6710, 998, 1875, 6683, 6917, 7694, 269, 1261, 1336, 602, 5663, 7694, 568, 811, 6710, 4227, 982, 2533, 538, 10859, 4683, 25772, 269, 1261, 6700, 602, 6710, 568, 2362, 538, 25772, 609, 2362, 4747, 8635, 543, 609, 2539, 2229, 18820, 543, 891, 1079, 2360, 616, 6793, 538, 10859, 268, 18076, 982, 538, 6917, 25772, 269, 1261, 849, 4767, 602, 7459, 538, 2069, 543, 9897, 616, 6710, 4227, 998, 5663, 7694, 538, 10859, 268, 18076, 25772, 543, 998, 2533, 7694, 538, 782, 25772, 563, 19913, 8705, 2763, 543, 2098, 11839, 630, 1220, 276, 264, 4330, 519, 4747, 2238, 540, 6917, 10820, 543, 8947, 519, 21876, 540, 1875, 1922, 1301, 29159, 676, 1210, 18578, 527, 2203, 269, 1261, 1336, 602, 6694, 2238, 616, 519, 1034, 1271, 2707, 540, 4747, 585, 6917, 10820, 538, 519, 25610, 540, 519, 22784, 6931, 706, 2817, 5244, 538, 12868, 799, 3565, 476, 6924, 260, 547, 2698, 7622, 4747, 609, 519, 6967, 476, 3953, 260, 23608, 689, 1875, 6694, 2238, 269, 1261, 849, 1336, 602, 519, 6710, 4994, 543, 519, 1569, 547, 6101, 2883, 2344, 1312, 723, 513, 2318, 1764, 593, 519, 2671, 540, 1875, 268, 698, 3472, 1116, 4747, 563, 313, 16852, 1696, 620, 269, 630, 1220, 276, 264, 4767, 519, 1909, 540, 1875, 1922, 1301, 4747, 538, 4227, 6917, 6710, 543, 8635, 538, 3624, 269, 1261, 1336, 602, 1510, 1875, 1922, 1301, 7694, 267, 6917, 6710, 1131, 581, 1454, 2362, 543, 4514, 543, 602, 4747, 8635, 1131, 581, 2362, 607, 1134, 269, 1261, 11943, 602, 7589, 538, 1875, 1922, 1301, 2238, 2488, 6917, 10820, 609, 606, 3606, 2707, 540, 4747, 267, 5355, 741, 2713, 4441, 543, 32560, 4747, 10616, 607, 1134, 563, 293, 16086, 19660, 1696, 620, 269, 630, 1001, 271, 264, 5342, 513, 1353, 547, 4983, 519, 3029, 543, 21876, 540, 17612, 29159, 1851, 6917, 3484, 3885, 538, 29142, 684, 1533, 267, 13280, 269, 634, 1353, 7000, 519, 2956, 540, 29159, 607, 621, 20039, 585, 476, 7597, 269, 272, 260, 540, 7622, 4747, 269, 4065, 267, 5600, 3835, 2450, 543, 4747, 941, 1713, 30661, 540, 29159, 269, 634, 1875, 1922, 1301, 2238, 4857, 538, 519, 1353, 723, 519, 1761, 585, 7393, 519, 12588, 540, 2043, 543, 10820, 547, 4020, 2318, 24454, 269, 634, 18454, 540, 891, 2238, 4096, 7361, 610, 14356, 593, 1967, 6913, 538, 6683, 799, 568, 513, 1713, 24572, 540, 29159, 563, 2026, 332, 1695, 630, 1001, 272, 264, 1336, 602, 1377, 540, 10304, 568, 2362, 585, 1346, 3484, 10820, 945, 960, 538, 1875, 1922, 1301, 5823, 982, 3484, 5823, 269, 634, 1875, 1922, 1301, 29159, 2238, 543, 7622, 10304, 616, 6140, 9141, 676, 7622, 7221, 543, 15885, 1519, 7622, 2085, 2497, 267, 2069, 1377, 543, 4008, 269, 14970, 16901, 29159, 568, 606, 1271, 1611, 540, 7393, 10304, 543, 19262, 3007, 563, 291, 14019, 543, 27173, 684, 833, 630, 1001, 273, 264, 4857, 519, 2010, 543, 21876, 540, 5506, 540, 7589, 538, 1875, 1922, 1301, 7694, 2127, 538, 519, 5580, 4639, 16323, 540, 19168, 269, 1261, 4767, 2947, 2516, 540, 715, 25539, 2026, 971, 607, 1349, 633, 267, 5663, 270, 30112, 267, 16268, 267, 5010, 543, 1463, 2533, 269, 15788, 267, 5010, 2533, 20441, 519, 1875, 1922, 1301, 2804, 2238, 630, 3953, 8472, 4553, 676, 16268, 2872, 630, 2641, 260, 5148, 5663, 630, 736, 15992, 1349, 633, 2872, 630, 1240, 8472, 609, 2123, 2533, 10916, 519, 2547, 630, 280, 22103, 634, 12880, 1875, 1922, 1301, 2804, 2238, 1336, 1331, 9467, 23315, 543, 4492, 3574, 2504, 267, 13680, 7694, 538, 2679, 543, 4070, 8486, 334, 630, 29985, 14420, 264, 28823, 267, 6149, 5599, 267, 1426, 642, 2056, 543, 10685, 6300, 5106, 269, 634, 2188, 971, 607, 3023, 267, 2085, 267, 29281, 4567, 267, 2069, 267, 25367, 2866, 267, 10362, 1145, 547, 513, 1895, 543, 4087, 849, 1336, 547, 581, 3648, 2404, 609, 519, 5506, 540, 7589, 538, 715, 25539, 2026, 563, 288, 6390, 1695, 565, 630, 1001, 275, 264, 8947, 519, 21876, 540, 29159, 1210, 8298, 527, 2203, 543, 849, 519, 1764, 540, 29159, 593, 7622, 10304, 676, 1210, 744, 11862, 9695, 2203, 538, 5484, 826, 1533, 269, 1261, 1336, 602, 5506, 540, 29159, 4679, 609, 5256, 32567, 7622, 267, 2069, 267, 5491, 543, 2344, 543, 11081, 609, 8105, 1995, 269, 1261, 849, 1336, 602, 29159, 267, 2085, 267, 2069, 543, 5491, 723, 513, 2318, 1198, 593, 7622, 10304, 1247, 7622, 2450, 814, 513, 2942, 1198, 563, 298, 1538, 320, 543, 700, 3814, 10098, 630, 1001, 275, 264, 11567, 519, 6708, 547, 799, 6917, 1875, 1922, 1301, 2238, 3565, 547, 10970, 11868, 6710, 538, 10283, 10820, 269, 1261, 849, 8947, 519, 2188, 7133, 519, 2773, 540, 6917, 1875, 1922, 1301, 2238, 543, 519, 6127, 998, 799, 6917, 1875, 1922, 1301, 543, 3484, 2238, 616, 954, 15062, 539, 269, 1261, 1336, 513, 1297, 540, 2188, 4299, 519, 2773, 540, 1875, 268, 3484, 2238, 267, 1519, 16283, 3854, 267, 3668, 540, 1870, 2069, 267, 4057, 1870, 22402, 267, 28537, 3560, 547, 543, 689, 6990, 267, 543, 2021, 779, 4008, 5107, 269, 1261, 4767, 602, 6917, 3484, 543, 1875, 1922, 1301, 2238, 616, 954, 15062, 539, 1317, 538, 1034, 10820, 3484, 2238, 3177, 519, 3854, 585, 4358, 543, 4881, 1875, 1922, 1301, 2238, 543, 1875, 1922, 1301, 2238, 3177, 519, 4747, 547, 6718, 3484, 11378, 269, 1261, 849, 1336, 602, 6917, 1875, 1922, 1301, 2238, 8329, 513, 1713, 2671, 540, 2698, 4747, 538, 10283, 10820, 543, 13087, 891, 10820, 547, 6718, 1426, 543, 7082, 5370, 267, 2628, 585, 4915, 543, 1072, 1416, 267, 2628, 585, 519, 2069, 540, 1453, 267, 607, 1134, 607, 1902, 538, 3484, 11378, 547, 3986, 519, 7607, 540, 6694, 2238, 971, 607, 7693, 8105, 543, 13184, 5329, 269, 1261, 11943, 602, 6917, 1875, 1922, 1301, 2238, 1404, 606, 1271, 1909, 538, 10970, 11868, 1312, 4747, 543, 1875, 13867, 6710, 563, 313, 518, 599, 1696, 620, 269, 630, 1001, 276, 264, 11567, 519, 7903, 543, 7485, 2188, 602, 3310, 519, 7589, 3375, 540, 6917, 10820, 538, 1875, 1922, 1301, 2238, 676, 1210, 5564, 30796, 8298, 2065, 22953, 543, 519, 4747, 5833, 689, 713, 5823, 676, 1210, 18578, 527, 2203, 269, 1261, 4767, 602, 1152, 476, 2641, 260, 540, 519, 2698, 7622, 4747, 729, 6508, 689, 1114, 1875, 1922, 1301, 2238, 609, 513, 7589, 2557, 540, 476, 5379, 10065, 1261, 1336, 602, 1732, 2069, 267, 2244, 8066, 267, 1569, 547, 12555, 543, 1297, 540, 2937, 2818, 9797, 6766, 519, 10171, 540, 9525, 538, 1875, 1922, 1301, 2238, 543, 849, 1569, 547, 5491, 267, 1732, 2244, 2450, 267, 13184, 543, 1297, 540, 4079, 538, 519, 7622, 3648, 543, 9797, 6766, 519, 2671, 540, 4747, 689, 681, 22143, 292, 269, 1261, 11943, 602, 519, 7622, 609, 1732, 2804, 2783, 616, 15504, 547, 519, 1875, 1922, 1301, 5823, 676, 519, 1732, 2132, 689, 519, 1875, 268, 698, 3472, 1116, 5823, 563, 306, 738, 3570, 1696, 620, 269, 630, 1001, 276, 264, 5342, 513, 1353, 547, 1459, 606, 12170, 2963, 540, 519, 1533, 540, 4747, 29159, 543, 922, 1764, 593, 7622, 779, 1134, 5630, 538, 519, 6917, 2127, 540, 14076, 3333, 1695, 328, 8664, 540, 16273, 269, 589, 1617, 626, 720, 4351, 10386, 4480, 568, 1031, 585, 10655, 519, 1239, 269, 1677, 2268, 519, 1377, 540, 4747, 29159, 3244, 12121, 12039, 540, 16844, 568, 7229, 543, 547, 2268, 519, 1377, 540, 1134, 5630, 267, 7622, 4616, 18820, 568, 1031, 269, 1261, 4767, 602, 519, 6708, 540, 4747, 29159, 568, 26483, 1970, 538, 519, 1353, 1858, 543, 621, 814, 2318, 543, 1713, 1198, 593, 7622, 779, 1134, 5630, 563, 6781, 323, 6160, 15401, 1696, 620, 269, 630, 1001, 276, 264, 8947, 519, 2188, 602, 3313, 1875, 1922, 1301, 23909, 1851, 6917, 8105, 10820, 543, 547, 1018, 17612, 2994, 814, 4824, 519, 1134, 5630, 540, 741, 10820, 269, 898, 814, 1044, 4767, 602, 519, 2188, 602, 3310, 519, 6917, 8105, 7622, 3375, 547, 7119, 538, 1875, 1922, 1301, 2238, 4951, 13581, 8390, 689, 1346, 12018, 1377, 540, 3375, 630, 331, 633, 16901, 2994, 264, 3144, 547, 4497, 538, 1875, 1922, 1301, 2238, 543, 1141, 621, 1281, 267, 711, 676, 519, 1482, 9588, 543, 4287, 269, 20028, 24964, 543, 14661, 7622, 2450, 729, 1336, 547, 3648, 3310, 519, 16027, 779, 3375, 543, 2069, 267, 6710, 4567, 543, 829, 32728, 7534, 4747, 1705, 3310, 519, 1377, 540, 7589, 3648, 563, 10817, 520, 600, 543, 18722, 630, 1001, 277, 264, 12290, 519, 1909, 540, 17612, 29159, 538, 7622, 1134, 5630, 538, 9966, 5055, 267, 513, 6552, 7823, 8664, 538, 4639, 18310, 269, 1261, 1336, 513, 7833, 4806, 540, 29159, 538, 2474, 540, 519, 1100, 269, 540, 2238, 17298, 585, 17612, 855, 513, 3810, 8795, 4110, 540, 25739, 1134, 5630, 2066, 10820, 269, 1261, 9916, 602, 1134, 5630, 729, 2404, 609, 7622, 779, 9525, 538, 1164, 2132, 9922, 799, 568, 8200, 593, 24970, 1027, 550, 1377, 540, 2200, 543, 7221, 269, 634, 4199, 3638, 10820, 4129, 1518, 883, 1164, 2132, 9922, 543, 15186, 2087, 741, 1134, 5630, 1247, 519, 4199, 4057, 10820, 267, 593, 519, 824, 1688, 267, 616, 7142, 547, 3136, 741, 1970, 2132, 29159, 269, 1261, 11943, 602, 17612, 29159, 723, 513, 3810, 7729, 14954, 1198, 3056, 547, 8635, 540, 4747, 543, 1134, 5630, 563, 298, 612, 548, 1696, 620, 269, 630, 1001, 278, 264, 11567, 519, 21876, 540, 29159, 1210, 8298, 527, 2203, 269, 1261, 1336, 602, 519, 12250, 2188, 971, 607, 17956, 2244, 267, 1318, 8226, 543, 18756, 15376, 723, 519, 2318, 1198, 593, 3484, 7622, 779, 3375, 547, 7119, 538, 1875, 268, 698, 3472, 1116, 2534, 1247, 2085, 267, 2069, 543, 3845, 547, 519, 9938, 1493, 2344, 723, 513, 2942, 1198, 563, 302, 326, 12584, 6559, 1696, 620, 269, 630, 1001, 278, 264, 9916, 519, 7418, 540, 1875, 1922, 1301, 2238, 538, 5466, 6917, 13864, 543, 5462, 2188, 12018, 1507, 23649, 9808, 1067, 779, 7589, 538, 1875, 1922, 1301, 2238, 538, 744, 526, 334, 7232, 770, 2199, 29583, 339, 269, 2127, 540, 744, 526, 334, 3557, 267, 13280, 676, 1210, 18578, 527, 2203, 269, 1261, 1336, 602, 2085, 267, 2069, 267, 13230, 12236, 1569, 547, 5491, 543, 3845, 941, 519, 1713, 4632, 12018, 7589, 538, 1875, 1922, 1301, 2238, 269, 1261, 11943, 602, 1875, 1922, 1301, 2238, 948, 547, 2569, 13864, 7110, 3484, 4747, 267, 1683, 513, 3106, 2121, 543, 13468, 6710, 1851, 10820, 563, 302, 323, 2129, 1696, 620, 269, 630, 1001, 278, 264, 5462, 519, 2360, 540, 8739, 20300, 4162, 540, 6917, 10820, 593, 1875, 1922, 1301, 4747, 29159, 543, 9916, 519, 2188, 602, 3310, 3484, 7622, 779, 7589, 538, 1114, 1875, 1922, 1301, 2238, 269, 1261, 4767, 602, 8739, 20300, 4162, 540, 519, 3484, 10820, 723, 1713, 1198, 593, 741, 1875, 1922, 1301, 4747, 269, 1261, 1336, 602, 476, 11025, 269, 276, 260, 540, 519, 3484, 10820, 4129, 1881, 741, 4747, 267, 476, 1704, 269, 276, 260, 9003, 8200, 593, 4747, 689, 8105, 2238, 269, 1261, 2188, 602, 6766, 6917, 3484, 7622, 779, 7589, 538, 1114, 1875, 1922, 1301, 2238, 941, 1336, 547, 581, 4057, 7024, 547, 6694, 2238, 267, 1507, 3484, 2450, 267, 1981, 543, 24604, 538, 6683, 267, 15376, 540, 1514 ]

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

[ 0, 3698, 5542, 5334, 677, 263, 12584, 9285, 8217, 2187, 825, 562, 815, 7003, 263, 12584, 9285, 8217, 994, 825, 585, 1775, 538, 2039, 3799, 2187, 1038, 10545, 815, 5667, 9285, 8217, 5157, 2639, 1038, 4994, 5334, 332, 718, 652, 815, 1775, 454, 1038, 585, 795, 538, 2039, 9217, 267, 562, 2187, 2018, 952, 5667, 9285, 8217, 14728, 316, 2999, 10545, 912, 3546, 10545, 815, 5667, 9285, 8217, 14728, 2639, 3546, 4994, 5334, 332, 718, 652, 815, 795, 454, 1038, 5667, 9285, 8217, 27709, 5334, 332, 718, 652, 3910, 5667, 9285, 8217, 5157, 316, 815, 5667, 9285, 8217, 5157, 3910, 5667, 9285, 8217, 27709, 5334, 332, 718, 652, 2639, 825, 2132, 5667, 9285, 8217, 7531, 331, 560, 815, 1496, 276, 267, 476, 275, 267, 476, 273, 267, 476, 277, 267, 476, 274, 267, 476, 279, 267, 476, 272, 267, 476, 278, 2639, 2745, 263, 572, 3005, 5334, 677, 10857, 560, 4917, 0, 258, 1104, 21723, 6503, 607, 23686, 454, 16482, 258, 32597, 815, 23686, 269, 6247, 656, 3488, 15916, 267, 32150, 23044, 256, 5073, 258, 5089, 815, 23686, 2529, 11970, 4590, 258, 1820, 4433, 612, 269, 14725, 263, 31435, 4917, 16482, 258, 513, 815, 23686, 269, 6247, 656, 263, 1015, 994, 258, 536, 815, 23686, 269, 6247, 656, 263, 3953, 994, 258, 1820, 4433, 612, 269, 14725, 5416, 1341, 536, 4917, 16482, 258, 5089, 25379, 30800, 258, 1104, 21723, 6503, 607, 23686, 454, 258, 1104, 21795, 607, 19073, 454, 16482, 258, 4183, 22674, 8435, 815, 20886, 9610, 267, 476, 272, 3910, 1496, 9873, 267, 476, 272, 3910, 1496, 5611, 267, 476, 271, 3910, 1496, 10204, 267, 476, 271, 27663, 258, 4183, 9078, 629, 1564, 815, 22373, 7343, 548, 2580, 834, 7343, 548, 2580, 834, 528, 1052, 2580, 834, 528, 1052, 31116, 16482, 258, 29976, 815, 23686, 269, 652, 574, 1807, 11482, 710, 541, 12218, 8595, 6600, 324, 1155, 22674, 8435, 994, 16482, 258, 29976, 6745, 1778, 9272, 6958, 333, 284, 10204, 994, 16482, 258, 12605, 815, 29976, 4877, 9438, 9272, 6958, 333, 284, 335, 9438, 17750, 6958, 333, 9239, 5814, 21795, 607, 19073, 454, 5814, 11885, 607, 5286, 692, 2745, 9638, 323, 14857, 11437, 1029, 2020, 258, 7151, 540, 3126, 630, 821, 6241, 1239, 994, 258, 19073, 2529, 7685, 8443, 262, 26596, 12770, 3299, 1412, 26596, 8277, 3299, 1412, 306, 659, 26963, 334, 262, 7481, 19399, 10310, 5992, 2971, 7462, 692, 258, 1948, 7151, 540, 4578, 20988, 454, 322, 640, 5332, 1868, 815, 19073, 2529, 7685, 8443, 262, 26596, 12770, 3299, 1412, 26596, 8277, 3299, 1412, 306, 659, 26963, 334, 262, 7481, 28134, 815, 19073, 2529, 7685, 8443, 5952, 273, 5379, 280, 267, 476, 6200, 276, 4281, 276, 267, 476, 4366, 276, 1960, 7481, 335, 323, 6185, 1092, 20988, 20719, 262, 30949, 2012, 9166, 2749, 5332, 1868, 267, 1412, 16954, 1637, 9166, 2551, 348, 2020, 19399, 19399, 1012, 692, 258, 1809, 1034, 540, 519, 942, 267, 596, 4452, 606, 3003, 3758, 883, 513, 4578, 20988, 269, 634, 1739, 1383, 13907, 513, 3758, 609, 4993, 454, 258, 8027, 1239, 269, 14840, 519, 1739, 1591, 547, 4452, 519, 1239, 543, 1711, 4183, 8847, 1384, 454, 5632, 4727, 20189, 17639, 12774, 18134, 815, 19073, 18667, 32269, 2891, 10059, 2517, 560, 4392, 269, 2998, 4355, 777, 529, 2593, 8276, 1194, 340, 1673, 21648, 1115, 270, 5632, 4727, 20189, 17639, 17601, 27406, 20350, 14030, 19930, 694, 335, 6889, 2437, 994, 5632, 4727, 20189, 17639, 12774, 18134, 6155, 525, 9216, 10797, 5632, 4727, 20189, 17639, 12774, 18134, 23584, 4590, 2745, 263, 5632, 4727, 20189, 17639, 12774, 18134, 23584, 31156, 5632, 4727, 20189, 17639, 12774, 18134, 269, 7290, 3488, 327, 17639, 318, 4364, 1014, 318, 720, 17210, 19399, 19399, 1012, 454, 258, 1411, 666, 1569, 4578, 20988, 1239, 1210, 5432, 5124, 9598, 270, 4289, 4238, 912, 322, 885, 815, 19073, 6185, 1092, 20988, 20719, 262, 30949, 2012, 9166, 2749, 5332, 1868, 267, 1412, 16954, 1637, 9166, 2551, 348, 994, 2745, 263, 6943, 6262, 885, 9131, 30949, 2012, 11172, 4917, 12534, 815, 4872, 9131, 30949, 2012, 262, 6540, 2745, 263, 6943, 6262, 885, 9131, 30949, 2012, 262, 6012, 272, 28413, 12534, 272, 815, 4872, 9131, 30949, 2012, 262, 6012, 272, 6540, 2745, 263, 6943, 6262, 885, 314, 271, 281, 273, 28413, 12534, 273, 815, 4872, 314, 271, 281, 273, 2639, 19399, 19399, 1012, 692, 258, 28294, 6819, 4578, 454, 12639, 28802, 9638, 641, 1637, 1315, 476, 1911, 271, 2020, 19399, 19399, 1012, 454, 258, 11644, 1948, 272, 692, 322, 640, 5332, 1868, 815, 19073, 2529, 7685, 8443, 262, 26596, 12770, 3299, 1412, 26596, 8277, 3299, 1412, 306, 659, 26963, 334, 262, 7481, 28134, 815, 19073, 2529, 7685, 8443, 5952, 273, 5379, 280, 267, 476, 6200, 276, 4281, 276, 267, 476, 4366, 276, 1960, 7481, 338, 5593, 12173, 815, 19073, 2529, 7685, 8443, 262, 26596, 12770, 3299, 1412, 26596, 8277, 3299, 1412, 306, 659, 26963, 334, 262, 7481, 19327, 815, 19073, 2529, 7685, 8443, 7871, 267, 476, 7367, 267, 476, 7906, 7481, 322, 885, 815, 19073, 6185, 1092, 20988, 18692, 825, 27835, 30949, 2012, 9166, 2749, 5332, 1868, 267, 1412, 16954, 1637, 9166, 2551, 267, 1412, 306, 5593, 8745, 9166, 23920, 12173, 267, 1412, 22704, 4009, 5195, 9166, 1858, 348, 2020, 322, 885, 9131, 3674, 2647, 543, 814, 23920, 2012, 11172, 815, 630, 322, 885, 9131, 22704, 4009, 5195, 11172, 3436, 476, 2004, 264, 1299, 4872, 9131, 30949, 2012, 262, 4940, 1952, 569, 18692, 825, 25754, 2012, 281, 2012, 269, 11034, 1873, 603, 3488, 26596, 29125, 2745, 6262, 885, 9131, 3674, 2647, 543, 814, 23920, 2012, 262, 7481, 2745, 6262, 885, 18622, 8161, 8443, 273, 267, 476, 271, 267, 476, 272, 28413, 0, 258, 476, 12530, 359, 11210, 373, 12530, 486, 417, 508, 489, 7430, 357, 11210, 379, 12530, 501, 12530, 360, 454, 258, 28859, 505, 484, 12571, 486, 417, 508, 489, 454, 258, 476, 20001, 508, 418, 505, 372, 417, 508, 489, 692, 338, 2297, 815, 2715, 257, 32002, 1276, 328, 9899, 476, 1220, 267, 834, 325, 14150, 10202, 9899, 476, 6110, 8679, 2745, 4433, 2297, 14277, 325, 14150, 10202, 257, 7481, 338, 2297, 14277, 325, 14150, 10202, 19312, 815, 476, 4335, 454, 338, 2297, 14277, 25346, 13318, 718, 19312, 815, 476, 8517, 454, 23437, 4433, 2297, 14277, 32002, 1276, 328, 257, 7481, 2745, 4433, 2297, 2020, 1721, 1883, 267, 1871, 538, 6455, 29096, 10031, 825, 1820, 2891, 346, 271, 348, 815, 2715, 272, 348, 2668, 8971, 31107, 267, 1871, 4917, 0, 5814, 2979, 454, 258, 9717, 519, 3597, 540, 513, 9352, 3529, 267, 3313, 952, 621, 568, 513, 4570, 9352, 3406, 3529, 630, 289, 4306, 6393, 258, 589, 4570, 645, 4306, 568, 3989, 607, 5205, 1384, 258, 672, 634, 2451, 5705, 872, 540, 513, 6843, 3568, 1152, 9136, 609, 10569, 1447, 982, 519, 6843, 781, 1883, 563, 258, 672, 634, 1318, 5705, 872, 540, 513, 6843, 3568, 1152, 9136, 609, 10569, 3152, 982, 519, 6843, 781, 1883, 563, 258, 672, 5637, 519, 2451, 543, 1318, 5705, 4181, 1590, 849, 581, 9352, 3406, 4054, 780, 258, 256, 1935, 281, 973, 9766, 557, 3178, 1101, 3406, 692, 258, 9502, 585, 513, 9352, 3529, 6843, 563, 5035, 30741, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1130, 284, 271, 267, 2451, 22561, 267, 1318, 22561, 2187, 1038, 1582, 22183, 815, 1130, 454, 1038, 1582, 16000, 815, 2451, 454, 1038, 1582, 16192, 815, 1318, 692, 258, 3096, 513, 25276, 25961, 1505, 454, 5035, 8827, 912, 825, 1219, 568, 11749, 573, 289, 4306, 4311, 267, 3597, 281, 30741, 264, 9847, 536, 944, 912, 13872, 1038, 1219, 25276, 13900, 704, 27316, 267, 3847, 267, 2431, 2187, 2018, 952, 711, 6843, 281, 1948, 952, 519, 16571, 542, 814, 5734, 606, 8900, 6843, 267, 610, 519, 1592, 568, 8900, 454, 3546, 2132, 6936, 454, 2018, 952, 711, 630, 27161, 22183, 2999, 1318, 543, 6843, 22183, 3436, 2451, 2567, 1948, 11974, 602, 519, 6843, 1871, 568, 1447, 982, 519, 1318, 1126, 543, 3152, 982, 519, 2451, 1126, 454, 3546, 2132, 8771, 454, 2018, 2132, 263, 516, 15479, 633, 13900, 704, 27316, 16000, 267, 2451, 267, 6843, 22183, 264, 1948, 16571, 525, 1524, 883, 519, 2451, 1034, 6843, 267, 11974, 2418, 593, 519, 1259, 909, 538, 1931, 454, 3546, 543, 25276, 13900, 704, 27316, 16192, 267, 6843, 22183, 267, 1318, 4917, 13872, 1038, 2132, 25276, 13900, 704, 20172, 267, 15615, 2891, 268, 8882, 19823, 10581, 2891, 8882, 257, 4297, 0, 18411, 28269, 281, 666, 2132, 513, 1592, 540, 22136, 610, 1449, 952, 513, 1297, 568, 6305, 563, 18257, 692, 1029, 10461, 1029, 815, 1412, 329, 599, 2727, 3960, 345, 28847, 3698, 22136, 3799, 2187, 825, 2132, 1496, 328, 585, 1775, 538, 2039, 263, 272, 19885, 264, 952, 568, 318, 18905, 9217, 264, 6540, 3698, 568, 318, 18905, 3799, 2187, 825, 952, 562, 2652, 476, 272, 912, 1038, 2132, 8771, 454, 825, 585, 1775, 538, 2039, 263, 273, 19885, 2187, 1038, 952, 562, 4939, 1775, 2652, 476, 271, 912, 2018, 2132, 8771, 454, 825, 3116, 912, 1038, 2132, 6936, 0, 5228, 28189, 6155, 21648, 1115, 1104, 4452, 5091, 580, 1080, 454, 5228, 28189, 6230, 617, 601, 26000, 3005, 1104, 5721, 15305, 5334, 5902, 454, 5228, 28189, 269, 15035, 31200, 1104, 8298, 2065, 8802, 1833, 454, 258, 5814, 21267, 28272, 607, 12301, 454, 5814, 11885, 607, 5286, 692, 21745, 1080, 815, 4452, 5091, 580, 1080, 10797, 258, 7179, 547, 1397, 972, 616, 476, 9692, 278, 2592, 630, 279, 676, 476, 279, 2592, 585, 513, 10155, 1275, 540, 476, 5038, 994, 2745, 2891, 15862, 4578, 23426, 257, 2073, 9704, 21606, 17482, 2020, 258, 7179, 547, 1397, 972, 616, 476, 9692, 278, 10297, 630, 15759, 619, 689, 476, 271, 1700, 280, 994, 2745, 2891, 299, 8475, 4578, 23426, 2580, 9704, 6745, 13759, 17482, 994, 16482, 258, 12301, 8807, 2682, 6600, 12127, 1125, 14352, 736, 267, 275, 4917, 258, 585, 4994, 267, 630, 13548, 267, 6003, 264, 538, 26246, 18750, 760, 5560, 580, 1080, 21606, 314, 271, 281, 276, 3910, 9704, 6745, 13759, 314, 271, 281, 276, 8079, 2187, 258, 476, 12301, 16553, 7120, 263, 272, 267, 476, 276, 267, 4994, 1341, 476, 272, 994, 258, 476, 12301, 269, 574, 19651, 18828, 269, 31412, 263, 13548, 267, 630, 279, 267, 279, 24270, 4699, 777, 284, 10823, 6983, 332, 3052, 2001, 994, 258, 476, 12301, 26644, 3488, 32086, 281, 4939, 328, 14826, 262, 4939, 6003, 267, 23935, 1125, 815, 476, 736, 2020, 343, 17601, 267, 1535, 15305, 267, 586, 17601, 267, 586, 15305, 815, 5721, 15305, 5334, 5902, 5560, 580, 1080, 21606, 267, 9704, 6745, 13759, 267, 1449, 15481, 284, 271, 269, 1839, 267, 4351, 26077, 284, 271, 2020, 258, 782, 6724, 711, 9138, 616, 1305, 547, 741, 9949, 338, 454, 8421, 2065, 8802, 337, 815, 8298, 2065, 8802, 1833, 10797, 8421, 2065, 8802, 337, 32265, 3287, 17601, 267, 586, 17601, 2020, 335, 9438, 687, 815, 26848, 8802, 337, 4877, 9438, 3287, 15305, 994, 258, 2422, 6060, 1505, 547, 1205, 6111, 540, 2203, 454, 16557, 815, 26848, 8802, 337, 269, 16557, 3287, 15305, 267, 586, 15305, 994, 2745, 263, 16557, 2020, 0, 454, 258, 8193, 281, 30016, 268, 279, 692, 258, 1948, 700, 3008, 303, 11555, 308, 20861, 4303, 476, 272, 27491, 454, 258, 3097, 258, 12361, 3503, 513, 2241, 1875, 17942, 5562, 7097, 454, 258, 3097, 258, 769, 513, 12363, 267, 1826, 519, 1739, 547, 1930, 513, 1257, 9375, 912, 258, 18889, 321, 1662, 454, 258, 9625, 259, 575, 539, 527, 1299, 454, 258, 476, 8199, 258, 3097, 258, 7392, 538, 513, 1982, 602, 454, 258, 2608, 16493, 856, 519, 2338, 689, 476, 1015, 547, 476, 1789, 454, 258, 476, 2608, 609, 513, 1900, 540, 476, 273, 2676, 258, 3097, 258, 1210, 513, 2387, 1721, 319, 8520, 543, 519, 2387, 9792, 319, 1599, 563, 258, 3097, 258, 16440, 519, 1982, 607, 834, 13678, 921, 318, 31467, 18258, 257, 883, 707, 834, 12709, 257, 15682, 563, 258, 3097, 258, 1496, 763, 12363, 1522, 1397, 930, 2387, 3022, 527, 319, 1644, 6959, 267, 11716, 873, 676, 10296, 2132, 543, 3478, 513, 1007, 3403, 5401, 24358, 258, 3097, 258, 3619, 1394, 547, 519, 12363, 267, 543, 14892, 707, 1982, 1210, 912, 258, 3097, 258, 18889, 321, 1662, 454, 258, 9625, 259, 9226, 2241, 318, 31467, 18258, 454, 258, 476, 7884, 258, 12361, 4518, 609, 808, 1575, 344, 614, 21641, 454, 258, 3097, 258, 19171, 575, 539, 527, 563, 258, 3097, 258, 32374, 513, 795, 1575, 344, 614, 21641, 609, 454, 258, 18889, 321, 1662, 454, 258, 9625, 259, 795, 1575, 344, 614, 21641 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 15680, 9222, 815, 10581, 9272, 3488, 14707, 924, 522, 27089, 798, 694, 340, 2892, 5451, 26369, 281, 681, 259, 10807, 10142, 604, 2892, 9222, 3436, 476, 10219, 271, 6769, 825, 2892, 9222, 2608, 284, 476, 272, 269, 272, 1477, 12828, 6769, 825, 2892, 9222, 2608, 284, 476, 272, 269, 1428, 5897, 2745, 3488, 302, 694, 340, 2892, 5451, 26369, 9087, 328, 513, 2163, 5964, 16948, 681, 259, 346, 15545, 273, 325, 348, 8339, 8971, 4433, 531, 9222, 17903, 0, 333, 4548, 815, 32582, 567, 1948, 5903, 320, 632, 562, 14243, 1067, 657, 6446, 1583, 14244, 1202, 518, 573, 657, 10652, 334, 721, 340, 9222, 1477, 550, 815, 476, 271, 672, 1948, 966, 7559, 767, 18559, 559, 3511, 16948, 513, 1303, 2784, 320, 632, 546, 15606, 5897, 2745, 3488, 5257, 14707, 924, 562, 14243, 1067, 657, 703, 324, 328, 4592, 267, 552, 513, 334, 3803, 1654, 10937, 513, 1474, 320, 632, 547, 323, 657, 552, 956, 23228, 290, 553, 334, 6446, 4275, 1612, 541, 2007, 924, 522, 562, 14243, 1067, 334, 476, 15886, 18257, 3418, 6112, 1303, 11203, 476, 15886, 6769, 825, 1303, 815, 703, 9272, 3488, 14707, 924, 19804, 562, 14243, 1067, 334, 281, 1412, 17903, 825, 952, 1303, 13843, 476, 15886, 6769, 1038, 1820, 3488, 303, 528, 3870, 2007, 924, 562, 14243, 1067, 657, 705, 320, 1460, 334, 632, 476, 15886, 9538, 3418, 825, 8640, 1303, 11203, 476, 15886, 6769, 1038, 15358, 6910, 263, 550, 10142, 338, 5448, 815, 2040, 25225, 3418, 2745, 3488, 302, 1267, 5964, 13005, 1474, 320, 13121, 562, 14243, 1067, 657, 6446, 4938, 17845, 1202, 518, 24926, 20527, 632, 15079, 269, 8339, 8971, 4433, 5448, 17903, 0, 2745, 3488, 14707, 924, 522, 26240, 334, 632, 476, 276, 533, 612, 334, 553, 552, 1654, 10937, 4018, 522, 12103, 1470, 552, 522, 2367, 528, 26240, 334, 256, 262, 10142, 6647, 657, 815, 32582, 5897, 1721, 1775, 538, 2039, 263, 271, 267, 476, 276, 8029, 825, 26240, 657, 6910, 263, 15615, 9272, 3488, 303, 525, 334, 13005, 15079, 382, 359, 533, 612, 10394, 281, 29717, 8971, 9217, 266, 272, 30727, 10142, 2742, 1640, 815, 3193, 263, 6647, 657, 3418, 5443, 528, 815, 1295, 263, 6647, 657, 10142, 2745, 3488, 5257, 1477, 30538, 1640, 281, 15079, 1477, 24464, 528, 281, 15079, 5257, 8339, 8971, 263, 2742, 1640, 267, 2367, 528, 17903, 0, 531, 684, 657, 815, 32582, 567, 1948, 5903, 320, 6446, 642, 2967, 6186, 1794, 523, 541, 15259, 562, 2345, 552, 711, 553, 13121, 620, 684, 657, 454, 9953, 815, 1412, 306, 262, 672, 1948, 966, 7559, 767, 6446, 1999, 2088, 694, 522, 721, 340, 5451, 26369, 642, 2967, 1202, 518, 597, 544, 9820, 620, 684, 657, 454, 322, 815, 476, 271, 1363, 1948, 2552, 11456, 16948, 535, 1794, 518, 522, 733, 14337, 798, 3331, 511, 526, 823, 14255, 30458, 632, 620, 684, 657, 692, 6112, 1904, 538, 1412, 306, 338, 12466, 825, 1948, 595, 686, 18372, 513, 30458, 6446, 2256, 828, 5451, 1217, 320, 9809, 383, 369, 525, 632, 476, 272, 620, 684, 334, 454, 825, 620, 684, 657, 6910, 8443, 20285, 825, 1948, 6184, 518, 785, 334, 562, 727, 798, 620, 684, 334, 454, 825, 620, 684, 657, 314, 322, 4940, 6572, 9272, 3488, 301, 727, 798, 620, 684, 334, 281, 1412, 4917, 825, 1247, 620, 684, 657, 314, 322, 6012, 271, 4940, 516, 2897, 3488, 22207, 1412, 10807, 2652, 1412, 12466, 1038, 1820, 28361, 30033, 314, 272, 282, 4029, 332, 303, 528, 3870, 267, 1202, 4275, 19804, 562, 727, 16948, 5294, 572, 7666, 597, 256, 315, 30033, 314, 271, 332, 5073, 1038, 620, 684, 657, 314, 322, 6012, 271, 316, 815, 3403, 3488, 301, 727, 798, 620, 684, 334, 281, 1412, 2020, 825, 1948, 595, 686, 18372, 513, 30458, 6446, 2256, 828, 5451, 607, 711, 553, 454, 825, 620, 684, 657, 314, 322, 4940, 6572, 8443, 20285, 825, 1948, 6184, 518, 785, 334, 3502, 320, 476, 272, 267, 552, 575, 5875, 785, 334, 6446, 1609, 324, 10937, 1303, 516, 476, 271, 552, 476, 1015, 454, 825, 620, 684, 657, 314, 322, 6012, 272, 4940, 6572, 263, 15615, 9272, 3488, 301, 7974, 476, 272, 281, 1412, 21875, 825, 1247, 620, 684, 657, 314, 322, 6012, 272, 6012, 271, 316, 2999, 476, 271, 610, 620, 684, 657, 314, 322, 6012, 272, 6012, 271, 316, 3436, 476, 1015, 912, 1038, 1820, 28361, 30033, 314, 272, 282, 4029, 332, 301, 7974, 1045, 5451, 331, 5866, 256, 590, 14244, 11863, 573, 553, 3284, 523, 553, 711, 553, 1303, 516, 476, 271, 552, 476, 1015, 26142, 30033, 314, 271, 332, 5073, 1038, 620, 684, 657, 314, 322, 6012, 272, 6012, 271, 316, 815, 10581, 9272, 3488, 301, 7974, 476, 272, 281, 1412, 11723, 825, 1948, 6184, 518, 785, 334, 3502, 320, 476, 273, 267, 552, 575, 5875, 785, 334, 6446, 1609, 324, 10937, 1303, 516, 476, 271, 552, 476, 1015, 454, 825, 620, 684, 657, 314, 322, 6012, 272, 4940, 6572, 263, 15615, 9272, 3488, 301, 7974, 476, 273, 281, 1412, 21875, 825, 1247, 620, 684, 657, 314, 322, 6012, 272, 6012, 272, 316, 2999, 476, 271, 610, 620, 684, 657, 314, 322, 6012, 272, 6012, 272, 316, 3436, 476, 1015, 912, 1038, 1820, 28361, 30033, 314, 272, 282, 4029, 332, 301, 7974, 1045, 5451, 331, 5866, 256, 590, 14244, 11863, 573, 553, 3284, 523, 553, 711, 553, 1303, 516, 476, 271, 552, 476, 1015, 26142, 30033, 314, 271, 332, 5073, 1038, 620, 684, 657, 314, 322, 6012, 272, 6012, 272, 316, 815, 10581, 9272, 3488, 301, 7974, 476, 273, 281, 1412, 11723, 825, 1948, 6726, 18372, 513, 544, 2946, 29953, 798, 620, 684, 334, 454, 825, 620, 684, 657, 314, 322, 6012, 272, 4940, 6572, 9230, 8999, 263, 531, 684, 657, 314, 322, 6012, 272, 316, 4297, 1315, 476, 273, 2020, 825, 1948, 7638, 881, 18372, 694, 522, 721, 340, 5451, 26369, 844, 518, 2585, 541, 1202, 518, 785, 334, 620, 684, 657, 552, 711, 553, 454, 825, 1904, 815, 3403, 3488, 5226, 518, 2585, 541, 286, 1496, 306, 21610, 13912, 30386, 825, 1247, 1904, 269, 21639, 3890, 711, 538, 1412, 17928, 262, 610, 7003, 263, 9953, 264, 11203, 476, 272, 912, 1038, 1820, 28361, 30033, 314, 272, 282, 4029, 332, 28926, 23843, 1045, 5451, 331, 5866, 256, 315, 30033, 314, 271, 332, 5073, 1038, 1904, 815, 3403, 3488, 5226, 518, 2585, 541, 286, 1496, 306, 21610, 13912, 1412, 2020, 825, 1948, 9214, 618, 18372, 522, 733, 11456, 454, 825, 524, 6834, 476, 272, 692, 258, 1401, 756, 785, 334, 579, 2742, 30458, 18410, 321, 2784, 320, 267, 635, 562, 2345, 552, 544, 2946, 29953, 13121, 620, 684, 657, 454, 2745, 3488, 15871, 262, 2608, 476, 1428, 2020, 2745, 6600, 262, 315, 30033, 314, 272, 282, 3451, 282, 278, 332, 2715, 257, 5591, 1701, 23901, 275, 348, 1923, 2715, 257, 301, 727, 9899, 283, 1428, 348, 1923, 2715, 257, 300, 2946, 29953, 9899, 285, 275, 348, 1422, 30033, 314, 271, 332, 5073, 1721, 1064, 267, 1775, 538, 26246, 263, 531, 684, 657, 2187, 825, 952, 1064, 4939, 476, 273, 11203, 476, 271, 912, 1038, 1820, 6600, 262, 315, 30033, 314, 272, 282, 4391, 282, 278, 332, 2715, 1842, 23901, 275, 348, 1923, 2715, 328, 314, 271, 6012, 281, 1428, 13912, 283, 1428, 348, 1923, 2715, 328, 314, 272, 6012, 273, 13912, 285, 276, 269, 273, 325, 348, 1422, 30033, 314, 271, 332, 5073, 825, 3116, 912, 1038, 1820, 6600, 262, 315, 30033, 314, 272, 282, 278, 332, 2715, 1842, 23901, 275, 348, 1923, 2715, 328, 314, 271, 6012, 281, 1428, 13912, 283, 1428, 348, 1923, 2715, 328, 314, 272, 6012, 273, 13912, 285, 276, 269, 273, 325, 348, 1422, 30033, 314, 271, 332, 17210, 2745, 3488, 15871, 262, 2608, 476, 1428, 2020, 258, 1401, 756, 785, 334, 607, 711, 553, 632, 19804, 620, 684, 334, 1965, 29347, 6403, 325, 4815, 267, 1965, 3712, 327, 18480, 10652, 334, 721, 340, 5451, 26369, 454, 9953, 815, 476, 271, 454, 6112, 1904, 11203, 476, 15886, 912, 825, 1904, 815, 703, 9272, 28361, 333, 7197, 32057, 711, 553, 632, 4018, 620, 684, 334, 286, 630, 15886, 281, 3955, 668, 704, 2567, 1412, 11723, 825, 1247, 476, 15886, 11203, 1904, 711, 538, 2039, 263, 271, 267, 7003, 263, 531, 684, 657, 15892, 1038, 1820, 28361, 30033, 314, 272, 282, 4029, 332, 301, 14244, 2291, 324, 19804, 620, 684, 334, 20017, 770, 2784, 334, 562, 525, 572, 3331, 511, 526, 823, 267, 17895, 324, 18051, 3512, 324, 256, 315, 30033, 314, 271, 332, 5073, 1038, 1904, 815, 703, 9272, 28361, 333, 7197, 32057, 711, 553, 632, 4018, 620, 684, 334, 286, 630, 15886, 281, 3955, 668, 704, 2567, 1412, 11723, 825, 952, 1904, 2652, 476, 15886, 912, 1038, 1820, 28361, 30033, 314, 272, 282, 3451, 332, 302, 1962, 580, 5964, 11188, 3351, 714, 541, 562, 657, 810, 521, 626, 9047, 267, 693, 2946, 513, 20446, 256, 5073, 1038, 2736, 454, 825, 3116, 912, 1038, 1820, 6600, 262, 315, 30033, 314, 272, 282, 3451, 282, 278, 332, 2715, 257, 5591, 1701, 23901, 275, 348, 1923, 2715, 257, 301, 727, 9899, 283, 1428, 348, 1923, 2715, 257, 301, 7974, 476, 272, 9899, 348, 1923, 2715, 257, 301, 7974, 476, 273, 9899, 348, 1422, 30033, 314, 271, 332, 5073, 1038, 1820, 6600, 262, 315, 30033, 314, 272, 282, 278, 332, 2715, 9953, 23901, 275, 348, 1923, 2715, 531, 684, 657, 314, 9953, 6012, 271, 13912, 283, 1428, 348, 1923, 2715, 531, 684, 657, 314, 9953, 6012, 272, 6012, 271, 13912, 285, 277, 269, 273, 325, 348, 1923, 2715, 531, 684, 657, 314, 9953, 6012, 272, 6012, 272, 13912, 285, 277, 269, 273, 325, 348, 1422, 30033, 314, 271, 332, 5073, 0, 23251, 4545, 807, 815, 703, 9272, 3488, 14707, 924, 513, 1253, 4545, 807, 13005, 642, 16489, 332, 900, 918, 300, 281, 1412, 264, 10142, 2745, 3488, 5257, 1477, 2026, 19274, 698, 839, 635, 693, 2946, 476, 1220, 298, 300, 632, 1253, 4545, 807, 267, 25865, 1090, 681, 259, 271, 269, 2004, 11188, 918, 300, 23228, 303, 4673, 19274, 698, 839, 544, 9820, 19388, 553, 6446, 476, 1220, 298, 300, 267, 1583, 14244, 25865, 2784, 657, 681, 259, 271, 269, 3393, 11188, 918, 300, 23228, 18257, 10142, 604, 1253, 4545, 807, 10922, 476, 1220, 6769, 825, 1820, 3488, 306, 754, 334, 15849, 267, 522, 27089, 13005, 647, 320, 642, 16489, 332, 1583, 5451, 522, 2698, 632, 681, 259, 346, 15545, 273, 325, 20467, 8339, 8971, 5560, 626, 4545, 807, 2608, 476, 271, 269, 276, 17903, 12828, 6769, 825, 1820, 3488, 306, 754, 334, 15849, 267, 522, 27089, 13005, 647, 320, 642, 16489, 332, 1583, 5451, 522, 2698, 632, 681, 259, 346, 15545, 273, 325, 20467, 8339, 8971, 5560, 626, 4545, 807, 2608, 476, 271, 269, 3393, 17903, 0, 258, 815, 268, 15871, 15871, 284, 476, 19739, 13993, 296, 5588, 4488, 3008, 476, 815, 268, 15871, 15871, 23751, 5228, 4351, 1104, 28219, 842, 454, 5228, 942, 1104, 3207, 7531, 258, 815, 268, 15871, 15871, 284, 674, 7419, 383, 485, 383, 499, 2464, 476, 815, 268, 15871, 15871, 23751, 258, 23037, 324, 807, 476, 276, 562, 14243, 1067, 657, 552, 897, 10087, 900, 579, 2742, 30458, 454, 3698, 4990, 324, 1470, 10857, 560, 2187, 825, 1820, 3488, 31374, 324, 18372, 15259, 1130, 2803, 13005, 30458, 281, 22207, 1439, 8782, 5073, 825, 585, 1775, 538, 2039, 263, 276, 2187, 1038, 32102, 6910, 263, 8681, 842, 263, 272, 267, 476, 1015, 4917, 1038, 1820, 10857, 560, 5157, 3910, 1439, 8782, 30386, 1038, 3207, 263, 269, 276, 994, 825, 1820, 3488, 293, 8379, 9538, 9239, 258, 590, 5448, 3284, 523, 553, 15259, 1130, 2803, 533, 4100, 13005, 30458, 4990, 1737, 320, 454, 3698, 1474, 320, 13640, 10857, 560, 2187, 825, 1474, 320, 815, 476, 271, 454, 825, 585, 1775, 538, 32102, 912, 1038, 952, 1775, 4939, 476, 273, 2652, 476, 271, 912, 2018, 1474, 320, 6834, 1775, 454, 825, 1820, 6600, 24202, 558, 18372, 15259, 1130, 2803, 533, 4100, 632, 2715, 331, 560, 9574, 1661, 657, 2715, 338, 5448, 348, 262, 9239, 258, 815, 268, 15871, 15871, 284, 476, 10790, 2562, 476, 815, 268, 15871, 15871, 23751, 333, 4548, 815, 11713, 338, 677, 324, 1470, 25225, 994, 338, 5448, 13640, 25225, 994, 0, 767, 665, 573, 1228, 815, 703, 9272, 3488, 304, 783, 9087, 328, 513, 27922, 573, 1228, 798, 1286, 549, 900, 918, 300, 26260, 281, 1412, 17903, 20123, 320, 815, 476, 278, 269, 876, 1477, 604, 27922, 573, 1228 ]

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

[ 956, 1369, 519, 13334, 781, 3381, 2507, 634, 15226, 568, 2016, 513, 4305, 538, 799, 789, 723, 547, 1867, 1394, 593, 1018, 741, 4555, 616, 3823, 519, 4305, 789, 616, 11264, 269, 1717, 267, 1719, 538, 3384, 590, 12435, 2429, 519, 3119, 1296, 540, 18375, 568, 3395, 269, 1261, 12909, 540, 4058, 1702, 11852, 267, 1558, 659, 4321, 5464, 267, 7939, 543, 8086, 269, 769, 741, 1101, 1032, 267, 1053, 666, 581, 5189, 547, 519, 10206, 540, 1582, 30625, 607, 513, 1883, 1489, 585, 741, 1646, 607, 513, 2875, 538, 6280, 543, 607, 513, 15400, 15226, 269, 634, 14628, 15226, 568, 711, 8078, 730, 547, 1246, 1022, 15415, 610, 1570, 269, 634, 8892, 540, 4065, 543, 10341, 269, 634, 32534, 3231, 1676, 7844, 585, 15043, 15783, 1547, 476, 274, 267, 476, 23211, 1700, 25784, 269, 4518, 593, 10319, 679, 11431, 1565, 543, 519, 10014, 540, 15226, 5639, 616, 849, 2188, 538, 713, 17565, 6521, 538, 3450, 269, 2871, 652, 8191, 269, 901, 3742, 1565, 4480, 568, 5156, 547, 723, 1044, 15748, 676, 8176, 5576, 23702, 345, 267, 513, 6323, 7548, 693, 519, 2160, 540, 4993, 538, 519, 2038, 476, 2735, 271, 338, 630, 17556, 611, 267, 476, 1220, 276, 1040, 1684, 596, 723, 513, 476, 273, 281, 272, 4110, 610, 2362, 286, 13198, 1111, 928, 1375, 518, 267, 631, 1421, 5576, 3426, 267, 645, 1421, 8709, 632, 5576, 2393, 267, 681, 1421, 25538, 1676, 267, 623, 1421, 5685, 3122, 342, 12245, 267, 631, 1421, 543, 1975, 1408, 267, 595, 269, 630, 1001, 273, 1040, 634, 1053, 666, 849, 2015, 875, 789, 21934, 1245, 590, 12435, 2259, 585, 519, 1453, 789, 4001, 269, 769, 713, 3296, 267, 4704, 786, 581, 1500, 547, 519, 5450, 659, 10744, 543, 8682, 7304, 1122, 4327, 4804, 30334, 7797, 630, 1001, 279, 264, 689, 519, 630, 19733, 7736, 578, 618, 7690, 267, 476, 1001, 279, 1040, 1548, 4485, 1131, 1489, 519, 2875, 3610, 262, 1646, 540, 1582, 15696, 4327, 1565, 2994, 286, 661, 706, 269, 10495, 585, 4804, 281, 4208, 267, 1548, 543, 1215, 286, 769, 713, 2376, 267, 1582, 15696, 4327, 1565, 814, 1044, 2919, 689, 1250, 25719, 1353, 3168, 693, 6267, 262, 590, 12435, 543, 741, 3610, 262, 1489, 267, 547, 2875, 3610, 262, 590, 12435, 543, 519, 2081, 602, 4116, 2069, 15961, 666, 1020, 811, 1582, 15696, 17419, 1983, 543, 2994, 585, 519, 2875, 3610, 547, 8415, 2933, 267, 607, 1134, 607, 1491, 883, 741, 2259, 538, 741, 1378, 13460, 538, 519, 2104, 269, 8222, 281, 476, 1015, 269, 6344, 278, 4882, 14631, 29483, 5952, 788, 7742, 272, 318, 276, 269, 476, 3607, 267, 476, 7176, 280, 1700, 1911, 271, 269, 1717, 267, 538, 20237, 540, 519, 8471, 10083, 540, 519, 17950, 3498, 540, 15226, 13190, 267, 9741, 630, 1960, 280, 281, 1758, 334, 264, 945, 3217, 593, 519, 2070, 602, 789, 616, 7184, 11251, 538, 1139, 657, 1431, 827, 519, 6530, 540, 1565, 799, 616, 711, 15520, 1808, 269, 589, 2763, 1386, 334, 630, 1220, 280, 264, 13187, 602, 1565, 18252, 3875, 1582, 15696, 17419, 3157, 269, 634, 10206, 540, 13190, 814, 1631, 1831, 851, 540, 6671, 1382, 543, 2688, 538, 5375, 7239, 543, 621, 4667, 547, 723, 2919, 883, 513, 24080, 7608, 1523, 607, 606, 3872, 2832, 267, 607, 11130, 676, 645, 21672, 543, 5292, 2401, 630, 1960, 278, 281, 335, 3913, 334, 264, 1547, 21290, 2500, 2994, 543, 519, 946, 540, 8763, 5583, 941, 849, 15091, 607, 851, 540, 606, 7175, 1565, 1604, 269, 634, 27795, 2488, 1646, 540, 1582, 15696, 4327, 1565, 3001, 689, 811, 12799, 21934, 1245, 539, 1565, 547, 606, 10446, 6383, 679, 11431, 3366, 676, 519, 6267, 269, 4256, 3803, 11812, 540, 713, 1770, 7722, 873, 538, 1818, 3688, 585, 513, 2344, 588, 718, 543, 1287, 9140, 873, 609, 519, 1362, 2724, 789, 1185, 12236, 998, 11264, 4928, 968, 329, 10849, 1848, 634, 1453, 6592, 741, 8852, 1210, 519, 1840, 543, 12408, 2994, 789, 1185, 19927, 269, 5369, 565, 269, 769, 1840, 267, 519, 2278, 13882, 602, 6267, 945, 10169, 3668, 13190, 10169, 1869, 723, 519, 2702, 547, 1628, 13190, 2016, 602, 789, 616, 5116, 538, 519, 2953, 5468, 543, 3177, 2407, 7041, 269, 28038, 811, 8763, 3450, 540, 1582, 15696, 17419, 2853, 267, 2994, 267, 543, 1983, 1131, 4324, 938, 2875, 3610, 538, 741, 1378, 1646, 1312, 607, 1582, 15696, 4327, 15400, 6267, 543, 607, 9439, 538, 3506, 1141, 590, 12435, 1983, 543, 2994, 1489, 741, 3450, 543, 1020, 14628, 267, 1582, 15696, 4327, 6267, 538, 741, 13460, 269, 769, 769, 519, 2013, 540, 14628, 1565, 267, 13190, 267, 2705, 267, 519, 3610, 616, 568, 2938, 547, 1491, 513, 1900, 1394, 543, 2636, 1053, 547, 1491, 5279, 538, 741, 1378, 1565, 2864, 982, 9117, 593, 519, 15128, 540, 519, 4116, 630, 289, 3716, 267, 476, 2735, 279, 281, 17989, 1100, 1040, 595, 5085, 14011, 595, 5085, 14011, 281, 3231, 1676, 4201, 16860, 269, 8222, 281, 476, 1015, 269, 16328, 279, 270, 1822, 3583, 280, 3445, 279, 311, 19054, 4375, 279, 267, 32253, 17593, 1923, 9061, 8269, 9509, 7956, 1923, 5616, 10104, 267, 590, 6308, 10458, 267, 570, 1421, 543, 661, 569, 267, 918, 269, 630, 1001, 271, 1040, 6258, 811, 538, 281, 10020, 540, 519, 4317, 20472, 22999, 7869, 267, 1656, 4048, 9609, 267, 543, 8950, 5336, 23672, 19019, 630, 290, 11085, 264, 538, 16989, 26613, 4804, 543, 9752, 2037, 4921, 281, 1215, 4841, 17992, 20553, 8682, 2560, 769, 519, 2104, 594, 2832, 547, 2417, 5000, 1053, 547, 960, 1927, 538, 9263, 1489, 2516, 547, 5351, 741, 1565, 543, 1646, 269, 901, 12125, 519, 3350, 540, 1565, 607, 711, 1373, 607, 7255, 609, 519, 1565, 540, 5013, 607, 1454, 827, 1565, 519, 1983, 2838, 547, 1451, 269, 476, 8064, 267, 476, 6872, 1700, 6924, 269, 8682, 30625, 568, 513, 5578, 602, 666, 581, 6026, 543, 19927, 998, 968, 2998, 531, 9859, 6278, 1848, 22996, 945, 616, 6026, 1582, 15696, 17419, 1983, 543, 945, 616, 9415, 547, 6218, 741, 960, 998, 8086, 543, 1305, 1565, 3853, 666, 1020, 1367, 2994, 602, 786, 6961, 547, 581, 3811, 538, 2417, 532, 741, 1565, 269, 32534, 8668, 3157, 616, 10694, 585, 741, 2702, 547, 4688, 2724, 543, 1711, 3152, 31931, 269, 7869, 4698, 269, 769, 1249, 267, 670, 15653, 519, 10872, 4625, 538, 519, 1439, 1310, 4947, 547, 519, 3932, 602, 519, 3197, 1031, 9059, 538, 513, 1259, 602, 27648, 513, 14407, 3765, 14025, 540, 1379, 269, 634, 4116, 781, 6612, 543, 10761, 585, 741, 1641, 666, 581, 11763, 2810, 519, 1453, 781, 8404, 547, 1451, 269, 476, 1015, 22436, 540, 32534, 30863, 269, 9521, 930, 3631, 267, 972, 568, 711, 513, 2631, 540, 1646, 998, 519, 6106, 267, 811, 513, 2631, 602, 513, 5963, 14628, 15226, 786, 723, 2919, 782, 1614, 2127, 269, 594, 4811, 21745, 652, 269, 4825, 1549, 543, 9906, 11773, 538, 14451, 4065, 269, 590, 6308, 10458, 543, 661, 569, 630, 1001, 271, 264, 6743, 693, 519, 1198, 540, 1582, 15696, 17419, 2243, 12987, 593, 1053, 936, 519, 1576, 540, 513, 10872, 269, 8222, 281, 476, 1015, 269, 1911, 278, 4882, 14625, 6021, 268, 25484, 268, 3445, 273, 280, 14870, 269, 1323, 2799, 2631, 540, 7214, 7279, 543, 513, 14000, 585, 1702, 602, 3884, 1406, 2141, 1336, 547, 2560, 8682, 15696, 4327, 6267, 1058, 581, 2111, 547, 2824, 543, 581, 8149, 547, 3853, 585, 741, 1565, 269, 3683, 519, 1576, 540, 513, 1906, 4374, 267, 519, 4116, 9727, 513, 1297, 540, 1114, 4063, 23824, 2409, 543, 519, 1453, 2259, 873, 269, 4475, 621, 949, 581, 6956, 602, 15226, 13190, 568, 1655, 6913, 950, 519, 4116, 6411, 607, 513, 4863, 1807, 269, 5369, 565, 269, 32534, 1565, 10593, 519, 1445, 689, 3450, 547, 1565, 269, 634, 10206, 540, 1565, 875, 547, 1451, 568, 1883, 538, 1582, 30625, 269, 15080, 267, 2160, 540, 20279, 1700, 291, 578, 660, 1144, 267, 2136, 2276, 269, 2290, 540, 519, 2640, 540, 1373, 606, 14628, 15226, 568, 519, 7115, 835, 814, 936, 7446, 950, 543, 875, 547, 1451, 513, 1978, 1893, 269, 634, 4116, 3631, 519, 1184, 540, 4063, 2921, 585, 1383, 1210, 513, 2247, 4786, 267, 1287, 519, 1453, 2259, 713, 3898, 269, 31232, 630, 1001, 279, 1040, 8682, 15696, 4327, 1565, 4249, 513, 851, 538, 519, 679, 11431, 1935, 607, 519, 6267, 616, 6026, 543, 6462, 998, 519, 1983, 2838, 267, 3001, 4724, 630, 289, 534, 14024, 543, 13852, 267, 476, 1220, 279, 264, 968, 785, 2570, 1836, 6383, 679, 11431, 1848, 14465, 14024, 543, 13852, 630, 1220, 279, 264, 2303, 513, 27795, 540, 679, 11431, 1565, 267, 799, 729, 3226, 26159, 2257, 2069, 267, 2705, 519, 2185, 5933, 540, 519, 27795, 616, 4143, 585, 824, 1641, 2127, 543, 3444, 268, 22793, 4798, 269, 4475, 267, 1373, 14628, 2687, 547, 519, 8847, 543, 11673, 2016, 568, 602, 519, 15226, 1590, 581, 2111, 547, 1831, 4830, 540, 519, 4116, 267, 602, 568, 267, 547, 513, 1978, 6708, 1502, 525, 519, 2702, 547, 2769, 835, 779, 1378, 4555, 543, 8369, 685, 799, 949, 4268, 610, 28586, 519, 4116, 269, 4400, 269, 1717, 267, 31473, 781, 2663, 1382, 630, 1960, 279, 264, 8947, 1762, 1453, 781, 1582, 15696, 17419, 2853, 950, 1603, 269, 630, 1960, 280, 1040, 968, 2005, 1031, 547, 1491, 2395, 267, 4374, 610, 1256, 3275, 1848, 1403, 519, 6531, 4547, 2560, 4746, 6267, 949, 711, 581, 2111, 547, 6488, 610, 1502, 525, 723, 519, 1863, 942, 547, 7390, 1893, 3506, 610, 32112, 865, 538, 1198, 789, 949, 723, 547, 3343, 8925, 538, 8236, 741, 3853, 269, 630, 289, 21672, 1299, 5292, 2401, 267, 476, 1960, 278, 281, 1911, 1040, 8222, 281, 476, 1015, 269, 1911, 278, 4882, 14625, 6021, 268, 27947, 268, 3445, 274, 276, 268, 278, 269, 901, 4661, 814, 3361, 4589, 971, 623, 10154, 322, 809, 630, 1960, 275, 281, 4510, 264, 547, 24633, 7855, 547, 1491, 513, 16795, 626, 1935, 281, 968, 1729, 5000, 2048, 3598, 1676, 13190, 685, 24080, 267, 1510, 1101, 4742, 8650, 569, 3222, 540, 519, 1514, 267, 2686, 543, 2797, 2796, 538, 799, 835, 568, 2324, 267, 949, 1291, 693, 1655, 547, 20025, 15338, 690, 625, 543, 693, 10782, 547, 2686, 791, 657, 1431, 6100, 634, 1909, 540, 519, 4116, 568, 711, 6654, 538, 713, 2203, 267, 855, 609, 519, 1445, 540, 519, 1382, 1373, 593, 3119, 2085, 1453, 267, 519, 4116, 781, 1909, 538, 14123, 543, 5885, 1582, 15696, 4327, 1565, 2259, 568, 14063, 269, 634, 4052, 5413, 610, 24117, 540, 15226, 13190, 14380, 689, 519, 13766, 547, 2709, 811, 4540, 1893, 3450, 3871, 1141, 2757, 4485, 949, 711, 581, 14018, 269, 1717, 2201, 519, 824, 1688, 267, 621, 713, 949, 581, 2352, 585, 3610, 547, 581, 2111, 547, 3035, 5631, 1317, 3610, 789, 2933, 3668, 519, 1702, 540, 1818, 713, 519, 5912, 540, 1373, 519, 1625, 3272, 528, 540, 1702, 547, 513, 9614, 540, 1565, 2200, 630, 9515, 518, 514, 267, 476, 1960, 278, 267, 11855, 538, 645, 21672, 1299, 5292, 2401, 267, 476, 1960, 278, 281, 8287, 1040, 630, 1960, 274, 1040, 476, 272, 269, 5696, 1074, 10290, 1696, 620, 269, 3245, 2241, 1557, 4566, 267, 998, 547, 2407, 4744, 31277, 267, 596, 666, 10018, 649, 723, 513, 3028, 9985, 20083, 547, 707, 2115, 269, 1280, 1383, 267, 26999, 630, 3192, 277, 267, 11855, 538, 15443, 344, 267, 476, 1960, 272, 281, 9083, 264, 5546, 519, 14628, 15226, 547, 581, 606, 1367, 281, 968, 3369, 846, 1272, 814, 513, 11007, 602, 24283, 689, 513, 17396, 1305, 540, 4978, 267, 2418, 543, 3741, 543, 945, 22851, 538, 513, 1869, 11173, 1184, 540, 9880, 543, 556, 3887, 1998, 6672, 1848, 267, 769, 519, 1482, 18916, 267, 649, 849, 1265, 602, 930, 3173, 723, 4857, 606, 14628, 15226, 547, 4865, 606, 5813, 883, 741, 1565, 2553, 543, 2994, 282, 789, 616, 1434, 693, 1818, 1179, 2827, 543, 723, 606, 1930, 2247, 543, 1935, 547, 519, 3077, 1893, 630, 25537, 12000, 1470, 267, 476, 3192, 279, 267, 11855, 538, 654, 754, 523, 267, 476, 1960, 279, 281, 476, 6078, 268, 5655, 1040, 654, 3430, 267, 670, 1421, 543, 2875, 19721, 1565, 585, 513, 15020, 1279, 942, 27268, 543, 6542, 2500, 1565, 2702, 623, 842, 5341, 1862, 10414, 3297, 519, 1646, 540, 1582, 30625, 540, 1565, 540, 1582, 30625, 540, 1565, 875, 1451, 269, 1809, 693, 519, 1620, 540, 15226, 13190, 568, 1655, 6913, 950, 519, 4116, 1412, 338, 6612, 543, 10761, 741, 1862, 3502, 1154, 5069, 28790, 267, 15726, 276, 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 ]

[ 1272, 267, 568, 2139, 585, 713, 2860, 1106, 267, 1352, 3081, 563, 763, 2601, 585, 713, 568, 602, 519, 1981, 540, 6089, 2860, 568, 17047, 609, 519, 21110, 2157, 538, 519, 1560, 267, 543, 1282, 519, 18492, 1974, 267, 21110, 2504, 4679, 563, 1700, 1280, 519, 1482, 2601, 267, 1981, 786, 2333, 952, 596, 723, 2760, 2016, 4332, 547, 513, 1126, 269, 769, 519, 5712, 596, 1205, 9176, 267, 596, 798, 711, 723, 18492, 5712, 543, 3976, 2539, 21110, 2504, 269, 4935, 267, 3478, 811, 1453, 786, 2569, 519, 1981, 267, 855, 540, 1576, 267, 621, 1281, 711, 1611, 602, 596, 1205, 6089, 2860, 952, 596, 798, 711, 1205, 1022, 1453, 267, 968, 9917, 3081, 10756, 25519, 1081, 609, 4568, 454, 763, 18472, 543, 950, 519, 18492, 1974, 2501, 267, 649, 666, 711, 798, 4376, 827, 621, 267, 855, 972, 616, 849, 1981, 2188, 602, 649, 666, 3310, 811, 563, 1700, 9861, 14968, 4679, 519, 1981, 267, 543, 849, 1934, 568, 519, 21110, 1377, 602, 568, 519, 2014, 269, 6480, 4088, 568, 3812, 538, 519, 3170, 5160, 269, 1403, 596, 616, 14968, 267, 596, 786, 4061, 2887, 883, 519, 1981, 1895, 585, 1312, 6089, 2860, 543, 14934, 31037, 1670, 2860, 267, 968, 9917, 3081, 10756, 2005, 568, 849, 5227, 547, 581, 9793, 609, 4568, 267, 607, 4568, 6981, 849, 4679, 519, 1981, 563, 1700, 1703, 568, 1100, 2922, 267, 2539, 3970, 585, 875, 1454, 4568, 596, 666, 4235, 269, 1280, 1142, 4837, 596, 4235, 267, 519, 1981, 540, 2860, 4679, 269, 1403, 596, 1616, 547, 4235, 4568, 267, 621, 568, 4061, 19624, 547, 723, 1970, 4616, 1312, 538, 2474, 540, 2860, 1981, 543, 585, 1434, 1072, 538, 2489, 267, 1352, 3081, 563, 1805, 3931, 15565, 1739, 519, 2489, 2732, 543, 6197, 5796, 563, 763, 1981, 540, 22420, 6089, 2860, 4679, 952, 1920, 2818, 616, 454, 268, 6468, 609, 6089, 2860, 896, 476, 2004, 1296, 454, 268, 5565, 2673, 14077, 609, 6089, 2860, 896, 476, 4649, 1296, 454, 268, 8422, 2673, 14077, 609, 6089, 2860, 7488, 540, 2085, 454, 268, 9093, 609, 6089, 2860, 454, 268, 589, 4807, 896, 476, 2568, 1296, 540, 2085, 609, 2860, 538, 1312, 28244, 630, 321, 10561, 6089, 2860, 994, 268, 589, 4807, 609, 6089, 2860, 543, 2673, 14077, 609, 25073, 2860, 454, 268, 589, 4807, 609, 6089, 2860, 543, 2673, 3448, 609, 17150, 2860, 896, 476, 4649, 1296, 454, 268, 589, 4807, 609, 25073, 2860, 267, 7488, 540, 2085, 454, 268, 589, 4807, 896, 476, 2568, 1296, 540, 17784, 2942, 6089, 2860, 267, 26759, 519, 10510, 1281, 711, 723, 13364, 585, 519, 10399, 21110, 543, 1322, 6856, 821, 543, 519, 10510, 15262, 670, 2207, 273, 563, 13126, 281, 9435, 5948, 454, 10376, 1032, 538, 5239, 267, 519, 23213, 9435, 5948, 2855, 5190, 519, 25968, 25906, 2548, 11059, 538, 5698, 609, 519, 9435, 5948, 563, 763, 2962, 729, 3323, 538, 519, 2136, 2276, 267, 1141, 2021, 538, 519, 2038, 476, 1960, 271, 338, 18796, 3152, 14828, 585, 6089, 2860, 1382, 563, 7712, 1287, 267, 519, 2962, 814, 3262, 547, 1896, 2477, 267, 543, 538, 16157, 621, 729, 6896, 585, 519, 1101, 942, 538, 476, 1960, 280, 563, 13126, 281, 23213, 9435, 5948, 454, 1700, 4189, 2635, 543, 9867, 543, 1373, 538, 2168, 2534, 11151, 1312, 2860, 543, 824, 3676, 269, 1879, 649, 849, 917, 602, 513, 2635, 6197, 11151, 14968, 267, 543, 602, 8377, 4679, 519, 1981, 540, 2860, 267, 4189, 2635, 543, 3001, 538, 513, 1259, 814, 513, 12242, 1198, 538, 713, 2796, 267, 1352, 3081, 563, 2005, 568, 5227, 547, 3251, 538, 9793, 2534, 585, 476, 2568, 3764, 610, 5397, 811, 588, 1066, 6681, 2534, 585, 693, 2547, 476, 1789, 3764, 1142, 1554, 563, 2467, 568, 4440, 849, 513, 9756, 1063, 3781, 960, 936, 1082, 1296, 543, 6089, 2860, 538, 2021, 563, 2252, 596, 1616, 547, 917, 952, 596, 616, 2139, 585, 6089, 2860, 998, 18472, 267, 621, 568, 2009, 547, 1491, 513, 556, 23150, 563, 1700, 9701, 621, 6961, 602, 596, 723, 519, 645, 13612, 272, 610, 645, 13612, 273, 5444, 596, 786, 581, 5702, 16913, 269, 634, 5413, 540, 713, 568, 602, 513, 2009, 2860, 5868, 666, 581, 1500, 3533, 543, 519, 4960, 540, 4742, 2860, 6954, 4679, 267, 3081, 853, 21417, 2590, 563, 1103, 824, 1913, 267, 782, 2021, 1063, 519, 6502, 540, 476, 2004, 543, 476, 7597, 616, 1572, 883, 7882, 2762, 563, 1700, 901, 568, 513, 1360, 1507, 1895, 267, 1317, 972, 616, 1082, 7820, 543, 4587, 2021, 945, 616, 6089, 2860, 269, 9435, 5948, 568, 4061, 2324, 547, 1205, 513, 3677, 1895, 883, 519, 7882, 2762, 1982, 267, 1352, 3081, 563, 7476, 547, 917, 519, 28244, 454, 2690, 607, 1279, 607, 596, 2461, 896, 476, 2004, 610, 936, 476, 7597, 267, 2901, 1205, 513, 4387, 779, 29748, 267, 799, 3587, 811, 7199, 982, 952, 596, 1205, 519, 5619, 998, 519, 7882, 2762, 1982, 267, 610, 979, 547, 1852, 27352, 543, 2628, 3054, 563, 3080, 540, 519, 1034, 1271, 1919, 596, 666, 798, 1354, 596, 3914, 519, 2085, 540, 476, 2004, 949, 581, 5432, 609, 707, 28244, 563, 3528, 6616, 543, 4974, 873, 593, 513, 2834, 4493, 267, 596, 786, 811, 3362, 1294, 2242, 563, 1700, 1684, 621, 827, 2899, 513, 3923, 1247, 596, 17643, 269, 898, 568, 4443, 547, 917, 5265, 609, 12853, 593, 707, 3946, 543, 952, 621, 3217, 1932, 1279, 1063, 1142, 942, 267, 621, 779, 2182, 547, 3314, 875, 621, 729, 2063, 269, 7490, 1376, 1354, 596, 3914, 476, 1789, 267, 3081, 853, 21417, 2590, 563, 6826, 3222, 602, 4439, 7410, 538, 519, 9221, 616, 711, 519, 1152, 1129, 602, 1945, 949, 581, 4636, 563, 9827, 9221, 9395, 1145, 610, 12012, 562, 31454, 616, 4191, 596, 1058, 1491, 12517, 269, 0, 332, 1787, 476, 6434, 3284, 563, 263, 874, 9369, 5491, 281, 12467, 2467, 781, 1100, 7805, 4276, 1063, 4965, 543, 21404, 269, 1809, 3173, 693, 519, 12355, 2160, 540, 13243, 723, 1336, 602, 4965, 666, 2014, 513, 2530, 540, 5642, 2527, 563, 5445, 2161, 741, 4681, 13822, 513, 1713, 1900, 4464, 538, 1620, 875, 519, 2247, 543, 519, 20258, 1062, 2170, 543, 723, 2907, 7152, 519, 12117, 540, 24196, 656, 5061, 538, 7303, 5642, 2527, 2530, 269, 634, 3173, 4681, 723, 1175, 1044, 3370, 538, 519, 519, 20380, 1977, 4760, 623, 2793, 306, 630, 3682, 17503, 540, 519, 2817, 9142, 540, 7070, 1916, 299, 1601, 540, 5642, 2527, 568, 519, 3056, 2014, 540, 21404, 543, 5642, 18655, 1851, 519, 9907, 538, 2489, 543, 1851, 2022, 2173, 523, 641, 30167, 2021, 538, 1880, 269, 11153, 2090, 5815, 602, 1004, 7092, 2101, 4965, 3622, 723, 2539, 982, 3328, 5642, 2527, 5860, 267, 855, 2394, 1631, 267, 1100, 1463, 3095, 1063, 891, 1079, 2175, 814, 1044, 3964, 563, 763, 1788, 729, 5342, 676, 3173, 689, 670, 308, 781, 2634, 543, 2623, 8047, 18188, 676, 4515, 269, 681, 1794, 962, 3305, 807, 282, 689, 519, 5642, 2978, 18188, 676, 4515, 269, 898, 2967, 9040, 282, 543, 689, 519, 2634, 8194, 2978, 18188, 676, 4515, 269, 6480, 615, 1744, 2129, 9564, 269, 4746, 10283, 941, 25719, 1053, 769, 4472, 717, 657, 1156, 267, 1325, 517, 645, 1690, 599, 334, 267, 570, 597, 5633, 918, 516, 529, 601, 267, 1744, 16336, 674, 15505, 2006, 543, 962, 846, 325, 23111, 563, 5445, 1031, 8983, 547, 1353, 519, 4276, 1063, 4965, 543, 5642, 2527, 2530, 269, 2991, 1802, 1424, 513, 4965, 3697, 2783, 538, 519, 23224, 267, 789, 2919, 8965, 2589, 8272, 337, 1681, 1346, 2938, 538, 20158, 3425, 267, 1519, 513, 5786, 538, 5418, 553, 9092, 2534, 543, 538, 1514, 5872, 269, 2991, 2185, 4374, 538, 513, 20158, 1533, 267, 519, 8983, 4951, 513, 10565, 5642, 2527, 2530, 267, 1519, 538, 519, 12048, 5642, 543, 31175, 563, 1607, 2530, 729, 3361, 676, 15717, 538, 519, 5642, 25430, 1184, 267, 799, 568, 1898, 547, 4509, 3339, 5642, 5860, 269, 634, 15717, 729, 3361, 676, 513, 5786, 538, 519, 1297, 540, 5642, 20671, 2281, 267, 799, 616, 1572, 11560, 29793, 6814, 563, 307, 3949, 4951, 602, 5312, 946, 540, 606, 24196, 656, 3075, 10300, 1540, 711, 1152, 519, 4965, 3294, 855, 849, 519, 2530, 540, 5642, 5860, 563, 763, 3173, 941, 849, 2111, 547, 4766, 519, 1184, 16046, 4965, 547, 519, 20258, 2497, 269, 1358, 1336, 602, 4965, 5036, 1055, 513, 8849, 1062, 8220, 519, 2634, 547, 519, 4835, 8219, 267, 1519, 519, 22403, 269, 901, 1062, 568, 1572, 519, 25091, 8401, 1062, 267, 543, 922, 11852, 3123, 519, 21131, 1369, 519, 5642, 540, 6862, 611, 1066, 13824, 267, 513, 3114, 602, 814, 513, 17672, 1198, 593, 519, 5642, 20671, 2281, 269, 634, 3173, 941, 2111, 547, 1397, 602, 5312, 2126, 609, 513, 3075, 602, 7161, 6862, 611, 1066, 13824, 538, 519, 5642, 849, 7161, 519, 17672, 3310, 540, 4965, 593, 519, 5642, 563, 763, 1382, 568, 4397, 547, 4196, 607, 519, 4493, 585, 1007, 267, 3608, 5061, 585, 2126, 540, 21404, 267, 799, 568, 519, 1034, 11342, 28115, 894, 2068, 538, 7262, 2486, 269, 634, 670, 308, 781, 2029, 4483, 2754, 267, 962, 1170, 636, 267, 814, 4294, 585, 513, 14664, 585, 2126, 540, 21404, 609, 31520, 563, 10454, 4276, 1063, 519, 2634, 543, 519, 22403, 538, 2489, 267, 543, 519, 3310, 540, 4965, 593, 5642, 2527, 538, 1880, 568, 513, 1007, 1858, 540, 1382, 827, 799, 649, 1869, 917, 1360, 2370, 2437, 1767, 962, 3305, 31843, 269, 834, 763, 1007, 4681, 267, 799, 649, 723, 4362, 538, 670, 308, 22475, 1448, 585, 519, 1101, 942, 547, 4965, 607, 606, 1271, 3693, 538, 4929, 5642, 2527, 2530, 543, 21404, 4799, 289, 629, 1767, 267, 834, 29310, 609, 824, 1382, 602, 649, 723, 3370, 538, 519, 2250, 1032, 267, 649, 723, 2919, 513, 1007, 1858, 540, 1382, 602, 649, 1289, 1412, 928, 1755, 10043, 11155, 268, 739, 324, 1108, 5889, 11366, 20795, 262, 799, 9388, 609, 519, 4276, 1063, 519, 2634, 267, 2790, 2829, 543, 519, 22403, 1701, 0, 763, 3670, 7341, 9706, 4301, 625, 21845, 941, 281, 26317, 540, 7981, 11660, 9314, 630, 7704, 10485, 5148, 21730, 989, 686, 10276, 1444, 14565, 630, 307, 597, 717, 1993, 531, 5148, 8381, 4133, 15613, 282, 29119, 817, 11059, 4643, 282, 595, 2255, 618, 2806, 560, 3555, 5004, 11150, 630, 290, 4456, 306, 5148, 543, 595, 2255, 618, 24627, 5004, 12697, 630, 20003, 6573, 1916, 5319, 1444, 10837, 3194, 29533, 4498, 28625, 2107, 337, 29499, 281, 968, 2171, 21845, 4507, 602, 4988, 513, 2647, 8552, 540, 2067, 4199, 4027, 2152, 910, 5466, 2470, 5726, 267, 1216, 4199, 2359, 267, 6360, 4027, 543, 2804, 543, 16351, 946, 540, 519, 24781, 269, 1284, 12290, 519, 1883, 3334, 540, 1142, 3609, 593, 13438, 547, 2916, 1689, 543, 952, 835, 610, 811, 5057, 1185, 513, 1164, 5506, 540, 5821, 267, 1287, 519, 2949, 3609, 729, 2808, 547, 581, 7925, 3034, 9515, 3773, 281, 834, 2171, 1336, 602, 930, 540, 938, 2067, 4199, 4507, 941, 2192, 25668, 5792, 547, 4308, 609, 519, 3138, 4040, 6937, 540, 2916, 1689, 267, 1247, 1866, 799, 1185, 8112, 3710, 883, 519, 4295, 2497, 941, 1134, 17479, 547, 3082, 547, 519, 2591, 2693, 547, 581, 4810, 538, 519, 4947, 1296, 4799, 15575, 787, 2515, 7027, 585, 454, 763, 1353, 8693, 19577, 532, 22798, 12754, 10466, 24727, 543, 11150, 538, 12986, 666, 581, 1336, 693, 5291, 2517, 4178, 269, 523, 1444, 268, 698, 1890, 10993, 16896, 9706, 3016, 725, 563, 265, 634, 5147, 3390, 540, 16819, 31296, 786, 1413, 538, 3178, 693, 2916, 1689, 543, 922, 2360, 593, 5017, 910, 4585, 713, 5816, 585, 811, 3877, 269, 0, 292, 13543, 25605, 267, 7720, 269, 2443, 898, 729, 1175, 1354, 476, 276, 513, 6230, 269, 543, 2185, 9691, 13155, 20384, 941, 512, 26786, 896, 513, 10160, 593, 513, 5010, 8184, 689, 853, 269, 8402, 547, 14151, 563, 763, 11204, 18896, 29067, 267, 835, 540, 519, 1034, 13155, 28849, 540, 519, 12457, 18896, 538, 519, 1158, 267, 2893, 533, 6150, 538, 513, 15298, 693, 519, 3952, 540, 513, 5726, 626, 563, 9515, 729, 593, 513, 5692, 2059, 609, 513, 2319, 540, 1866, 547, 3142, 519, 6263, 20384, 4535, 538, 24811, 693, 519, 29510, 16423, 4741, 538, 25876, 6390, 267, 827, 476, 1789, 5195, 22703, 540, 853, 269, 8402, 267, 547, 1079, 1114, 24502, 540, 3552, 20384, 538, 14151, 543, 1715, 6792, 602, 1522, 6318, 873, 2059, 609, 741, 1378, 563, 3719, 17444, 621, 1055, 1131, 581, 513, 2845, 6750, 9028, 563, 10527, 6801, 267, 519, 7599 ]

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

[ 20295, 609, 7700, 547, 9120, 960, 2773, 267, 2362, 7607, 267, 2799, 5834, 543, 513, 6175, 538, 15534, 2465, 1143, 563, 763, 2640, 540, 9891, 1744, 8172, 593, 938, 5113, 1107, 16440, 6052, 1299, 16440, 14559, 454, 763, 5177, 568, 1634, 607, 513, 2048, 515, 908, 685, 4182, 799, 1797, 649, 6108, 811, 547, 1832, 938, 5656, 3636, 982, 3579, 563, 10908, 5074, 568, 1634, 547, 581, 513, 4617, 3693, 538, 2679, 4070, 543, 1634, 585, 3002, 2530, 538, 5162, 543, 3002, 2744, 538, 4832, 269, 4635, 9420, 338, 543, 9505, 1562, 666, 948, 2569, 891, 12374, 543, 9271, 543, 1852, 1769, 2157, 563, 19931, 946, 540, 9420, 338, 543, 9505, 1562, 538, 519, 9036, 666, 2569, 1648, 4616, 267, 2569, 519, 991, 585, 5841, 8654, 543, 8754, 2569, 1648, 12014, 563, 4415, 2953, 3859, 27864, 267, 3549, 666, 946, 1447, 8022, 610, 2011, 14555, 267, 1818, 873, 513, 1942, 15807, 3070, 563, 763, 1744, 731, 267, 835, 540, 5507, 779, 1034, 11599, 5656, 267, 31758, 519, 1966, 540, 3859, 27864, 676, 1210, 5179, 2213, 16945, 9420, 338, 3710, 883, 519, 5007, 23508, 540, 519, 2679, 269, 634, 1744, 731, 31267, 476, 6434, 260, 3002, 18349, 563, 2252, 596, 1131, 899, 547, 1451, 811, 827, 875, 707, 2754, 666, 1655, 3351, 1047, 9420, 338, 543, 9505, 1562, 547, 948, 2087, 519, 2324, 2175, 585, 707, 5520, 267, 2333, 1134, 5630, 543, 7607, 267, 1927, 609, 9494, 2724, 267, 1287, 1289, 721, 593, 476, 28318, 6734, 476, 31172, 476, 5400, 276, 6494, 606, 4757, 267, 610, 3643, 513, 1397, 3336, 269, 0, 23742, 658, 7731, 10657, 568, 513, 2385, 1700, 18876, 1404, 3797, 585, 1453, 9907, 476, 273, 1700, 1321, 267, 543, 741, 3237, 267, 538, 799, 8036, 2790, 1072, 4648, 4001, 3237, 1983, 585, 5807, 3347, 609, 741, 1453, 543, 27459, 1047, 2385, 1700, 18876, 1404, 3797, 7886, 269, 634, 3844, 3853, 540, 519, 3797, 616, 547, 2569, 3929, 11605, 543, 1966, 5615, 538, 1453, 267, 2087, 16169, 543, 1582, 12635, 538, 1453, 267, 7794, 519, 2385, 1700, 18876, 2078, 267, 543, 2087, 15970, 1983, 563, 763, 3797, 2203, 729, 1101, 2919, 538, 519, 476, 3422, 271, 338, 267, 676, 24527, 2871, 518, 2284, 267, 12789, 1421, 543, 7200, 1047, 2871, 518, 2284, 267, 607, 606, 9542, 540, 4132, 31588, 1229, 7591, 10657, 269, 2060, 519, 1840, 540, 513, 2385, 1983, 13652, 1456, 5057, 267, 8606, 658, 7731, 10657, 11414, 3237, 547, 2932, 519, 7764, 1227, 20218, 1404, 7886, 609, 741, 1453, 543, 2488, 873, 609, 4797, 13309, 15569, 585, 17923, 2318, 15970, 5615, 563, 763, 3797, 7886, 616, 3335, 9447, 12353, 585, 476, 1015, 15654, 4374, 269, 634, 476, 273, 16923, 7886, 1331, 1312, 2385, 1983, 2866, 543, 2385, 1700, 18876, 1404, 269, 634, 3797, 3217, 1747, 538, 1507, 1895, 610, 1367, 1920, 7886, 267, 538, 799, 3237, 616, 6026, 1404, 3797, 3741, 547, 946, 609, 741, 1453, 269, 634, 15970, 1983, 616, 13736, 543, 18674, 609, 1909, 4730, 267, 17265, 6592, 1404, 7886, 267, 543, 824, 2409, 540, 6044, 269, 14268, 1287, 2308, 519, 9241, 9715, 1983, 1282, 12353, 2385, 1700, 18876, 1404, 7886, 267, 799, 616, 24892, 676, 16293, 945, 1683, 18006, 543, 15699, 1282, 1404, 942, 269, 0, 26123, 10255, 269, 594, 1031, 32766, 585, 519, 22836, 547, 4558, 519, 960, 269, 634, 2186, 596, 1205, 10464, 1282, 1394, 547, 1153, 6455, 563, 763, 3778, 623, 20449, 616, 513, 1390, 1259, 547, 1451, 1686, 269, 1284, 1031, 9147, 3778, 538, 519, 1806, 1657, 269, 1358, 1331, 6863, 267, 10571, 267, 543, 6189, 269, 3733, 1101, 543, 3791, 1178, 1457, 6068, 873, 269, 634, 4587, 3214, 10150, 11836, 538, 930, 540, 519, 2238, 538, 519, 9147, 5527, 3883, 563, 2791, 666, 849, 4444, 513, 21496, 20478, 547, 11819, 17572, 26213, 2593, 998, 519, 23467, 1041, 16179, 619, 3213, 19945, 269, 1411, 666, 1569, 782, 540, 5345, 534, 5336, 3233, 3450, 2835, 543, 2238, 782, 1032, 269, 1411, 666, 4647, 543, 5299, 1018, 596, 991, 607, 596, 991, 621, 269, 594, 723, 10150, 2348, 621, 713, 2063, 1032, 269, 0, 2467, 616, 1082, 2010, 540, 3282, 543, 2067, 3154, 1107, 543, 4516, 814, 873, 782, 563, 268, 7849, 3154, 568, 513, 6923, 9648, 8652, 21666, 9967, 5097, 540, 15655, 269, 898, 949, 849, 2270, 1507, 5666, 540, 2802, 2033, 267, 4412, 2033, 267, 855, 2033, 543, 20008, 6951, 563, 268, 1230, 14846, 2067, 3154, 568, 4443, 547, 3132, 982, 23349, 3154, 267, 799, 2882, 9395, 3154, 267, 5755, 5127, 15655, 267, 32549, 3154, 543, 3154, 3289, 6233, 630, 320, 2009, 2104, 2707, 1916, 268, 4107, 540, 519, 2208, 538, 3761, 689, 2221, 779, 9156, 762, 3154, 2200, 568, 1336, 538, 23349, 21272, 267, 1500, 3015, 676, 5499, 4066, 1519, 8880, 17656, 543, 17453, 5762, 1005, 563, 268, 9197, 8775, 3282, 568, 513, 3109, 267, 6960, 880, 610, 993, 828, 5277, 602, 568, 513, 1950, 3575, 540, 30691, 269, 898, 5161, 540, 3327, 267, 7250, 267, 20962, 584, 267, 9436, 267, 5135, 543, 8407, 563, 268, 1230, 14846, 19020, 3282, 8928, 5266, 3362, 998, 513, 1134, 610, 18180, 563, 268, 24581, 3282, 568, 513, 811, 10053, 267, 1471, 32654, 3282, 267, 609, 513, 1164, 8167, 540, 3787, 18210, 602, 568, 2352, 547, 1349, 609, 6671, 2553, 563, 268, 13813, 521, 1343, 616, 513, 5394, 7848, 540, 3787, 18210, 267, 1216, 267, 5070, 267, 5230, 8407, 543, 10036, 563, 268, 570, 697, 3282, 16290, 538, 21272, 540, 1970, 11188, 13920, 543, 27978, 630, 3697, 32549, 1070, 3340, 8880, 17656, 543, 14242, 971, 607, 17453, 5762, 1005, 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 ]

[ 1627, 285, 298, 1384, 259, 4596, 3709, 263, 326, 14587, 266, 273, 295, 3709, 273, 31046, 630, 326, 14587, 1422, 14075, 3847, 5535, 8863, 3709, 274, 348, 15121, 3709, 263, 326, 264, 10592, 7462, 1627, 4982, 1023, 5606, 6541, 692, 2691, 1109, 304, 284, 31236, 267, 519, 5114, 10593, 547, 519, 2451, 630, 3724, 2072, 1040, 901, 568, 513, 8390, 540, 950, 1627, 24257, 298, 780, 259, 4596, 3709, 263, 326, 14587, 266, 273, 295, 3709, 273, 31046, 630, 326, 14587, 1422, 14075, 3847, 5535, 8863, 3709, 274, 348, 15121, 3709, 263, 326, 264, 10592, 2162, 5457, 532, 519, 20556, 9737, 918, 543, 1627, 692, 2304, 2653, 1259, 547, 3314, 891, 3347, 568, 676, 3206, 540, 519, 3436, 610, 2999, 607, 519, 5023, 540, 606, 32613, 1807, 269, 634, 32613, 1807, 786, 834, 324, 520, 257, 538, 519, 4287, 602, 519, 5114, 10593, 553, 1279, 607, 1627, 568, 2854, 1354, 918, 780, 2971, 7435, 344, 15873, 4934, 23164, 519, 17716, 540, 1627, 543, 918, 692, 8855, 532, 891, 2241, 3347, 786, 1109, 4660, 596, 547, 6061, 585, 519, 11144, 540, 513, 5114, 269, 589, 5750, 24152, 873, 666, 581, 1336, 2630, 780, 2162, 21023, 532, 519, 29196, 540, 513, 31472, 9453, 6726, 725, 692, 27039, 593, 1018, 513, 1966, 12134, 540, 596, 267, 3006, 621, 568, 11991, 547, 1118, 1022, 9273, 693, 782, 269, 6875, 267, 585, 1383, 267, 519, 1631, 5432, 31181, 5114, 7396, 2630, 1384, 259, 4596, 3709, 263, 326, 14587, 266, 273, 295, 3709, 273, 31046, 630, 326, 14587, 1422, 2431, 548, 325, 628, 17369, 9398, 8863, 3709, 274, 348, 15121, 3709, 263, 326, 264, 10592, 1432, 798, 596, 1589, 786, 4755, 952, 811, 540, 519, 1587, 267, 8715, 12935, 630, 6224, 274, 15121, 1070, 568, 3773, 286, 4982, 10329, 786, 581, 22314, 267, 543, 519, 2333, 538, 2472, 1611, 602, 1627, 285, 298, 269, 1109, 769, 1931, 547, 556, 10140, 28344, 11466, 267, 519, 5114, 786, 3356, 547, 519, 2451, 267, 2509, 519, 2746, 1218, 269, 901, 1797, 930, 540, 519, 3773, 8715, 12935, 786, 2736, 1524, 883, 3327, 24785, 543, 7250, 3154, 780, 259, 4596, 3709, 263, 326, 14587, 266, 273, 295, 3709, 273, 31046, 630, 326, 14587, 1422, 14075, 3847, 5535, 8863, 3709, 274, 348, 15121, 3709, 263, 326, 264, 10592, 3086, 267, 1018, 952, 811, 540, 519, 2746, 1218, 267, 3327, 24785, 543, 7250, 3154, 267, 616, 513, 286, 1411, 1058, 8275, 602, 713, 1131, 13347, 519, 11466, 269, 1627, 283, 298, 267, 1317, 519, 1871, 585, 519, 2179, 540, 2746, 1218, 267, 610, 519, 14009, 540, 519, 1627, 4082, 267, 814, 1109, 27463, 1078, 269, 1677, 3715, 11466, 1586, 267, 519, 5114, 786, 3870, 519, 1587, 267, 865, 519, 5114, 786, 3356, 547, 519, 1318, 780, 259, 4596, 3709, 263, 326, 14587, 266, 273, 295, 3709, 273, 31046, 630, 326, 14587, 1422, 14075, 21375, 8863, 3709, 274, 348, 15121, 3709, 263, 326, 264, 10592, 763, 2093, 11609, 1657, 1397, 2274, 932, 5889, 339, 601, 1512, 781, 20232, 17929, 950, 606, 1226, 559, 2320, 730, 1062, 568, 16271, 547, 513, 1689, 538, 2837, 267, 2604, 267, 610, 5834, 540, 513, 2249, 538, 519, 5114, 267, 519, 1062, 20781, 676, 8236, 513, 1007, 11466, 602, 13148, 13726, 1115, 519, 1764, 540, 519, 1689, 269, 1109, 303, 9438, 532, 799, 1259, 513, 5114, 786, 979, 666, 581, 519, 15864, 3364, 602, 596, 786, 2479, 798, 538, 7998, 2439, 2162, 7151, 281, 32027, 898, 2353, 8625, 692, 2414, 5265, 946, 519, 2078, 1063, 1627, 543, 918, 267, 596, 1590, 917, 875, 547, 1305, 621, 909, 269, 6875, 267, 585, 1383, 267, 519, 5114, 2630, 1384, 2252, 596, 1376, 609, 476, 275, 269, 876, 300, 8863, 275, 267, 476, 273, 269, 876, 300, 595, 273, 295, 273, 267, 543, 476, 274, 269, 876, 300, 670, 273, 267, 799, 1109, 323, 3925, 786, 519, 5114, 3356, 547, 3914, 11466, 2496, 2162, 6657, 1109, 3682, 21793, 692, 272, 264, 6333, 713, 5114, 1384, 10915, 2397, 547, 3768, 18249, 2012, 1412, 4118, 262, 1401, 4003, 540, 1826, 1412, 21790, 307, 13224, 6185, 2131, 328, 2529, 5296, 10611, 29025, 6185, 2131, 328, 29441, 308, 526, 18249, 11243, 2750, 4003, 262, 729, 16207, 269, 630, 28781, 585, 3877, 2020, 2252, 1109, 298, 322, 284, 476, 271, 269, 26522, 273, 543, 1109, 1492, 3355, 9830, 616, 476, 272, 269, 271, 300, 12971, 27778, 267, 476, 271, 269, 273, 300, 12971, 267, 543, 476, 271, 269, 279, 300, 5696, 273, 267, 799, 1259, 786, 519, 5114, 3356, 547, 3914, 11466, 2496, 273, 264, 1548, 568, 1627, 543, 922, 3483, 2496, 274, 264, 6333, 519, 5114, 1109, 31742, 532, 1109, 514, 11466, 1384, 10915, 2397, 547, 3768, 18249, 2012, 1412, 4118, 262, 1401, 4003, 540, 1826, 1412, 21790, 307, 13224, 6185, 2131, 328, 2529, 5296, 10611, 29025, 6185, 2131, 328, 29441, 308, 526, 18249, 11243, 2750, 4003, 262, 729, 16207, 269, 630, 28781, 585, 3877, 2020, 2252, 811, 715, 273, 302, 275, 568, 3773, 267, 799, 1259, 786, 519, 5114, 8399, 2496, 275, 264, 6333, 519, 1739, 5114, 1384, 10915, 2397, 547, 3768, 18249, 2012, 1412, 4118, 262, 1401, 4003, 540, 1826, 1412, 21790, 307, 13224, 6185, 2131, 328, 2529, 5296, 10611, 29025, 6185, 2131, 328, 29441, 308, 526, 18249, 11243, 2750, 4003, 262, 729, 16207, 269, 630, 28781, 585, 3877, 2020, 4415, 513, 918, 322, 540, 476, 272, 269, 273, 1535, 476, 9818, 693, 476, 5780, 279, 298, 267, 568, 519, 5114, 538, 11466, 950, 972, 1109, 732, 476, 276, 269, 876, 12387, 2910, 14116, 1070, 476, 273, 269, 876, 12387, 1849, 273, 14116, 1070, 543, 476, 277, 269, 876, 12387, 540, 2910, 5141, 273, 14116, 264, 538, 513, 476, 274, 269, 876, 299, 1166, 2532, 286, 1403, 711, 267, 799, 1109, 323, 3925, 786, 519, 5114, 3356, 547, 3914, 11466, 2496, 276, 264, 6333, 519, 1739, 5114, 1384, 10915, 2397, 547, 3768, 18249, 2012, 1412, 4118, 262, 1401, 4003, 540, 1826, 1412, 21790, 307, 13224, 6185, 2131, 328, 2529, 5296, 10611, 29025, 6185, 2131, 328, 29441, 308, 526, 18249, 11243, 2750, 4003, 262, 729, 16207, 269, 630, 28781, 585, 3877, 2020, 2252, 918, 322, 284, 2004, 269, 273, 693, 476, 278, 1240, 298, 543, 1109, 1492, 3355, 9830, 616, 476, 271, 269, 276, 300, 670, 273, 267, 476, 271, 269, 1428, 300, 594, 273, 267, 543, 476, 271, 269, 4962, 300, 31254, 267, 799, 1259, 786, 519, 5114, 3356, 2496, 277, 264, 6333, 519, 1739, 5114, 1384, 10915, 2397, 547, 3768, 18249, 2012, 1412, 4118, 262, 1401, 4003, 540, 1826, 1412, 21790, 307, 13224, 6185, 2131, 328, 2529, 5296, 10611, 29025, 6185, 2131, 328, 29441, 308, 526, 18249, 11243, 2750, 4003, 262, 729, 16207, 269, 630, 28781, 585, 3877, 2020, 2252, 918, 322, 284, 476, 273, 269, 876, 693, 476, 5325, 274, 298, 543, 519, 3355, 9830, 616, 476, 273, 269, 271, 300, 2910, 273, 267, 476, 275, 269, 271, 300, 18435, 275, 267, 543, 476, 271, 269, 276, 300, 2910, 293, 273, 267, 799, 1259, 786, 519, 5114, 3356, 2496, 278, 264, 6333, 519, 1739, 5114, 1384, 10915, 2397, 547, 3768, 18249, 2012, 1412, 4118, 262, 1401, 4003, 540, 1826, 1412, 21790, 307, 13224, 6185, 2131, 328, 2529, 5296, 10611, 29025, 6185, 2131, 328, 29441, 308, 526, 18249, 11243, 2750, 4003, 262, 729, 16207, 269, 630, 28781, 585, 3877, 2020, 298, 322, 284, 1911, 269, 2060, 519, 3355, 13999, 540, 476, 736, 326, 14298, 273, 267, 476, 1724, 326, 744, 273, 267, 543, 476, 1839, 326, 14298, 274, 538, 513, 476, 276, 269, 271, 299, 8708, 267, 799, 1259, 786, 519, 5114, 3356, 780, 2162, 6657, 10819, 281, 10298, 692, 272, 264, 634, 6547, 10593, 547, 519, 2451, 267, 2509, 519, 2746, 1218, 780, 301, 15477, 337, 284, 476, 272, 300, 267, 12971, 284, 476, 271, 269, 273, 300, 267, 5696, 273, 284, 476, 271, 269, 279, 300, 692, 304, 322, 284, 692, 10915, 2397, 547, 3768, 18249, 2012, 1412, 4118, 262, 1401, 4003, 540, 1826, 1412, 21790, 307, 13224, 6185, 2131, 328, 2529, 5296, 10611, 29025, 6185, 2131, 328, 29441, 308, 526, 18249, 11243, 2750, 4003, 262, 729, 16207, 269, 630, 28781, 585, 3877, 2020, 304, 322, 284, 476, 271, 269, 271, 3953, 692, 11997, 267, 1627, 322, 285, 918, 322, 543, 519, 6547, 10593, 2509, 519, 2746, 1218, 780, 273, 264, 1627, 568, 513, 5114, 23479, 267, 799, 2337, 3313, 952, 513, 5114, 786, 6521, 4464, 610, 23651, 269, 1306, 513, 1062, 4485, 2509, 11466, 267, 1627, 1109, 4485, 2509, 918, 780, 274, 264, 634, 5114, 786, 8399, 547, 519, 1318, 780, 275, 264, 3143, 267, 621, 568, 711, 693, 11466, 269, 4595, 1627, 283, 298, 267, 519, 5114, 786, 6521, 547, 519, 1318, 547, 3914, 11466, 780, 276, 264, 1627, 815, 476, 271, 269, 30033, 267, 865, 1627, 283, 298, 269, 634, 5114, 786, 6521, 547, 519, 1318, 780, 277, 264, 1627, 815, 476, 3953, 269, 271, 267, 865, 1627, 285, 298, 269, 634, 5114, 786, 6521, 547, 519, 2451, 780, 278, 264, 1627, 815, 476, 1321, 267, 865, 1627, 283, 298, 269, 634, 5114, 786, 6521, 547, 519, 1318, 780, 2162, 22108, 692, 272, 269, 19499, 1399, 267, 681, 1421, 589, 269, 12397, 880, 5174, 578, 6577, 267, 1696, 620, 269, 630, 1960, 275, 1040, 834, 27775, 754, 725, 585, 562, 32393, 1155, 543, 7515, 538, 23020, 32721, 1701, 26192, 10331, 269, 6314, 476, 5780, 281, 476, 13932, 272, 1700, 14917, 277, 563, 273, 269, 7108, 267, 808, 269, 543, 966, 269, 7108, 630, 2735, 276, 1040, 834, 8867, 13378, 601, 1512, 781, 20232, 543, 519, 16572, 540, 8709, 1405, 32129, 1701, 4065, 538, 11061, 476, 2420, 281, 476, 11025, 268, 5952, 563, 274, 269, 8891, 745, 764, 328, 267, 4498, 6229, 267, 4173, 2590, 267, 8496, 3120, 269, 4937, 11061, 281, 14362, 1299, 17834, 1457, 333, 13335, 269, 715, 12764, 9990, 269, 9664, 476, 277, 3607, 268, 277, 4343, 780, 2162, 19928, 12781, 692, 1892, 11676, 328, 2405, 3757, 334, 630, 308, 7374, 1070, 8341, 928, 10370, 630, 308, 7374, 2020, 6021, 281, 2918, 267, 476, 273, 4239, 476, 1001, 274, 692, 1012, 16193, 692, 9556, 2544, 966, 564, 5426, 912, 9556, 2544, 27010, 5426, 1384, 2162, 22816, 924, 868, 338, 692, 2304, 22085, 293, 14102, 5741, 0, 258, 3778, 540, 10789, 692, 1103, 281, 4033, 11762, 692, 8138, 4784, 1635, 840, 1258, 320, 454, 24552, 476, 8660, 274, 454, 303, 1137, 476, 275, 454, 14532, 540, 7223, 634, 1686, 540, 7223, 3459, 538, 3504, 5527, 543, 20770, 267, 1141, 1004, 4121, 547, 4194, 5276, 630, 1314, 815, 536, 264, 543, 13392, 630, 1314, 273, 1341, 536, 343, 815, 524, 264, 4834, 267, 607, 1134, 607, 967, 9057, 3729, 4834, 971, 607, 1535, 273, 1341, 586, 273, 815, 1990, 273, 267, 17929, 1896, 26968, 985, 616, 3238, 269, 634, 3504, 20770, 2103, 12193, 17062, 13392, 4834, 676, 9247, 519, 1482, 5773, 6026, 2221, 269, 1358, 849, 1223, 4194, 930, 967, 9057, 3729, 4834, 780, 763, 22354, 6929, 22697, 15552, 540, 28641, 543, 4144, 2684, 656, 639, 4797, 519, 5389, 540, 5527, 543, 20770, 267, 855, 4144, 2684, 656, 639, 781, 1433, 25226, 320, 568, 593, 513, 1454, 2362, 1377, 543, 3947, 1082, 9670, 3435, 547, 2352, 967, 9057, 3729, 4834, 269, 901, 3504, 1702, 540, 3435, 540, 4834, 538, 2490, 1336, 513, 1753, 2038, 538, 519, 9099, 1158, 267, 1141, 621, 729, 1634, 607, 519, 834, 14396, 540, 11808, 543, 13326, 1701, 630, 763, 12428, 2262, 585, 11808, 267, 620, 18191, 629, 745, 267, 529, 519, 3597, 540, 519, 2262, 7223, 4700, 769, 519, 476, 280, 628, 2540, 267, 519, 6259, 22301, 620, 11860, 327, 8705, 714, 14741, 5206, 835, 540, 519, 1101, 12428, 620, 613, 30944, 267, 513, 9836, 1163, 657, 2946, 540, 519, 2596, 3069, 540, 4834, 267, 609, 1312, 1806, 543, 15997, 269, 1635, 519, 1439, 540, 519, 476, 280, 628, 2540, 267, 519, 12266, 22301, 26512, 918, 7056, 1185, 7150, 543, 9863, 519, 2596, 4031, 543, 9163, 540, 7223, 543, 12193, 971, 7294, 2042, 607, 4466, 1535, 267, 586, 267, 543, 1990, 971, 602, 1535, 1341, 586, 1341, 1990, 815, 476, 1015, 267, 1535, 273, 1341, 586, 273, 815, 1990, 273, 267, 543, 1535, 345, 815, 586, 273, 780, 26123, 12977, 5206, 856, 15821, 7215, 1210, 1152, 17573, 31120, 267, 855, 676, 10120, 2053, 9099, 22697, 941, 2111, 547, 2911, 827, 11737, 337, 3320, 1164, 7060, 540, 519, 7164, 1535, 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 ]

[ 621, 781, 2653, 585, 3214, 547, 6336, 3950, 540, 741, 28378, 543, 20499, 269, 6435, 707, 1126, 3251, 6896, 676, 2870, 513, 4832, 19943, 1592, 267, 5329, 513, 11706, 540, 2238, 267, 543, 21458, 741, 28378, 563, 6826, 3461, 543, 1620, 269, 14400, 2736, 666, 581, 513, 4101, 942, 585, 1312, 3214, 543, 3237, 269, 898, 781, 1271, 547, 581, 3461, 543, 1620, 540, 707, 1126, 781, 2115, 269, 1403, 707, 1126, 568, 10010, 609, 4376, 267, 581, 972, 547, 2709, 1489, 563, 16729, 891, 4388, 666, 948, 596, 543, 707, 1126, 723, 513, 3811, 4832, 2736, 269, 1635, 3246, 707, 1126, 609, 2497, 267, 1964, 267, 2534, 267, 23462, 267, 543, 3919, 267, 596, 666, 948, 873, 1118, 519, 1034, 540, 741, 4832, 16314, 563, 2080, 616, 930, 3606, 4388, 585, 3237, 593, 875, 547, 948, 741, 1453, 723, 513, 3811, 4832, 2736, 912, 307, 1779, 547, 707, 1126, 827, 741, 4832, 4566, 269, 1548, 798, 789, 1616, 547, 798, 609, 741, 1863, 942, 286, 1548, 616, 789, 5461, 538, 1565, 811, 827, 888, 20055, 707, 1126, 1265, 2238, 602, 789, 616, 5461, 538, 543, 602, 786, 4161, 873, 269, 901, 1223, 1331, 2921, 5049, 267, 24749, 267, 610, 11836, 513, 4832, 3786, 563, 21886, 5971, 707, 1126, 547, 2263, 741, 5876, 269, 901, 1223, 4125, 7206, 267, 1603, 267, 4730, 2575, 267, 610, 1565, 513, 1007, 5578, 563, 20055, 707, 1126, 1020, 513, 2208, 14820, 269, 901, 1797, 18468, 602, 789, 666, 1451, 543, 2087, 609, 4674, 563, 6826, 513, 1909, 2203, 585, 707, 1126, 269, 8058, 873, 875, 547, 723, 1187, 267, 581, 3742, 267, 543, 581, 11327, 563, 9827, 1310, 513, 1279, 4832, 2736, 609, 1447, 26050, 543, 5107, 267, 621, 1522, 581, 1271, 547, 5965, 873, 585, 519, 1007, 14232, 1153, 1032, 269, 6969, 519, 1376, 540, 519, 1007, 1153, 1032, 267, 3237, 666, 948, 1453, 1205, 1031, 543, 3082, 1007, 270, 1245, 13467, 563, 2080, 616, 930, 2856, 781, 875, 547, 8011, 538, 3257, 865, 912, 307, 1779, 547, 707, 1126, 827, 741, 3853, 585, 519, 1007, 1153, 1032, 269, 1548, 798, 789, 1616, 547, 1451, 286, 1548, 616, 789, 15691, 547, 3035, 888, 20055, 707, 1126, 1205, 6896, 269, 901, 1797, 4259, 909, 513, 1353, 2230, 267, 2870, 513, 6780, 8430, 267, 543, 5329, 3950, 540, 10467, 563, 21886, 5971, 707, 1126, 547, 1224, 936, 519, 4832, 269, 901, 786, 948, 873, 3251, 8325, 543, 5965, 585, 519, 6551, 832, 540, 519, 1007, 1153, 1032, 563, 20055, 707, 1126, 2689, 2979, 543, 2542, 1983, 269, 1403, 707, 1126, 568, 10010, 538, 891, 2127, 267, 596, 949, 1616, 547, 2015, 679, 13764, 873, 538, 513, 4832, 23468, 1982, 563, 20055, 707, 1126, 1205, 513, 1434, 3781, 781, 3207, 269, 901, 786, 948, 873, 3251, 10332, 543, 5059, 538, 519, 4928, 563, 13014, 2386, 707, 1126, 22655, 513, 2635, 14254, 269, 901, 786, 2285, 873, 519, 1648, 789, 991, 547, 1376, 519, 1554, 1055, 1318, 563, 303, 871, 707, 1126, 513, 2635, 12899, 269, 901, 786, 948, 873, 3251, 23185, 2429, 519, 1153, 1554, 563, 21886, 5971, 707, 1126, 547, 1205, 3238, 538, 29599, 2238, 269, 901, 786, 948, 873, 3251, 3742, 543, 1118, 1007, 2828, 563, 13729, 513, 1434, 1383, 269, 8058, 707, 1126, 602, 596, 1871, 2069, 543, 602, 596, 616, 8149, 547, 741, 1967, 563, 3528, 1739, 891, 4388, 267, 596, 666, 948, 707, 1126, 723, 513, 4832, 2736, 602, 568, 1312, 1187, 543, 11327, 267, 8600, 607, 1134, 585, 519, 1007, 1153, 1032, 269, 0, 30144, 10791, 4643, 9669, 18737, 18455, 2635, 267, 14547, 267, 543, 8797, 568, 711, 606, 2025, 1523, 269, 898, 568, 513, 15428, 835, 269, 1677, 723, 513, 2635, 1272, 538, 513, 2635, 1560, 596, 991, 547, 723, 513, 2635, 2732, 269, 2060, 513, 2635, 2732, 1544, 267, 596, 666, 723, 1434, 1072, 538, 707, 17927, 269, 589, 1434, 7209, 267, 8746, 19773, 267, 543, 1256, 513, 1514, 5858, 666, 2482, 856, 922, 5072, 538, 513, 2635, 2732, 1317, 621, 3947, 513, 2635, 6197, 538, 1100, 942, 563, 288, 2635, 2732, 786, 1832, 596, 538, 1434, 3337, 269, 898, 786, 1832, 707, 2597, 538, 2638, 269, 898, 786, 1832, 707, 4105, 8219, 2324, 538, 1931, 269, 16362, 779, 20499, 786, 711, 723, 741, 17167, 593, 707, 1272, 269, 1924, 621, 568, 2731, 1271, 547, 723, 513, 2635, 2732, 1544, 269, 1452, 1978, 4388, 786, 723, 596, 723, 513, 2635, 2732, 1544, 912, 268, 898, 568, 1271, 547, 3548, 513, 7059, 2732, 585, 782, 519, 1072, 2640, 269, 769, 2013, 596, 798, 711, 3548, 513, 7059, 2732, 609, 782, 519, 5567, 543, 1898, 6886, 585, 707, 1560, 267, 596, 786, 2760, 581, 2635, 563, 268, 16202, 707, 6980, 12905, 543, 538, 4130, 5666, 693, 2834, 2053, 269, 901, 786, 1832, 707, 1560, 9219, 2635, 563, 268, 4258, 342, 707, 1426, 5265, 607, 621, 2337, 538, 2635, 12536, 563, 268, 1684, 711, 4235, 1216, 3368, 606, 5662, 1354, 543, 1310, 1022, 7594, 607, 621, 5540, 519, 9667, 3601, 538, 513, 3983, 6752, 269, 898, 729, 1127, 1055, 782, 519, 2067, 11476, 540, 519, 7181, 799, 948, 538, 12536, 269, 14068, 12536, 5012, 547, 606, 14432, 1560, 563, 268, 853, 11691, 6094, 568, 711, 8209, 2635, 269, 3493, 337, 1516, 3054, 1055, 1426, 786, 711, 1291, 547, 1434, 1072, 269, 1924, 798, 711, 581, 32601, 827, 2597, 10781, 563, 268, 21894, 596, 3548, 610, 1544, 547, 3548, 607, 513, 2732, 267, 3635, 568, 1360, 1271, 269, 1411, 991, 547, 723, 513, 2834, 3635, 12512, 585, 513, 2635, 6197, 543, 2635, 1560, 563, 268, 1684, 711, 1118, 1022, 32601, 3853, 827, 513, 2635, 2732, 1544, 269, 5269, 513, 2110, 1606, 32484, 3804, 267, 585, 1383, 267, 798, 711, 1589, 827, 21496, 610, 10865, 10781, 1589, 540, 8236, 12353, 3853, 269, 1280, 3236, 267, 1589, 540, 1519, 835, 4829, 543, 835, 4837, 540, 5144, 538, 707, 2732, 1169, 6640, 269, 19321, 713, 585, 513, 3018, 1287, 1491, 621, 2059, 585, 513, 3923, 563, 268, 16202, 4195, 1426, 609, 4195, 5820, 543, 1447, 24996, 543, 5667, 18260, 3282, 269, 589, 8899, 2275, 16808, 543, 1164, 1922, 9200, 2732, 786, 1118, 585, 513, 7059, 12512, 563, 268, 634, 1292, 3804, 568, 547, 2057, 1072, 4220, 543, 3676, 267, 723, 1164, 1648, 547, 979, 593, 609, 960, 26050, 267, 543, 711, 1745, 13110, 269, 2060, 713, 3804, 538, 2247, 267, 513, 2635, 2732, 5750, 568, 547, 581, 9709, 563, 268, 4826, 568, 513, 23887, 851, 540, 513, 2635, 7594, 1544, 543, 1058, 2141, 581, 513, 851, 540, 621, 269, 898, 18788, 519, 3653, 2472, 543, 25560, 2504, 540, 519, 1560, 543, 8952, 707, 1560, 2635, 269, 1924, 621, 568, 4105, 547, 2611, 19872, 693, 782, 2053, 563, 268, 1684, 711, 31952, 805, 543, 1034, 11932, 798, 711, 3548, 1175, 585, 519, 19160, 540, 707, 6492, 19512, 269, 898, 786, 4734, 596, 811, 1964, 1652, 982, 13854, 269, 1411, 1058, 3548, 1175, 606, 26412, 1447, 982, 1018, 707, 14000, 7287, 6499, 269, 898, 786, 1832, 1970, 1648, 2157, 2476, 563, 268, 6270, 513, 2732, 5750, 568, 547, 581, 5423, 799, 786, 1832, 596, 13854, 543, 6126, 543, 849, 1945, 799, 596, 666, 3442, 547, 1246, 538, 519, 1279, 2196, 540, 1272, 2864, 982, 1175, 513, 1906, 2395, 610, 3275, 585, 513, 1507, 3804, 563, 268, 1684, 711, 2322, 513, 7333, 593, 1022, 1426, 6221, 269, 898, 568, 540, 1576, 855, 2067, 547, 7287, 543, 1616, 1346, 1055, 29438, 527, 3688, 1256, 811, 269, 1924, 3079, 540, 6159, 1324, 723, 621, 538, 4130, 5666, 12212, 269, 901, 786, 711, 1152, 882, 880, 596, 855, 849, 1832, 707, 17811, 6981, 1369, 7182, 563, 268, 1684, 711, 32696, 538, 2247, 1652, 4189, 269, 898, 1797, 602, 1247, 596, 3548, 707, 5834, 1058, 581, 4628, 593, 519, 1426, 596, 616, 4189, 269, 1656, 596, 786, 2965, 1294, 513, 7415, 3017, 538, 519, 2179, 540, 1426, 596, 3548, 609, 713, 4356, 269, 1879, 707, 2247, 568, 13026, 609, 1945, 3116, 585, 3236, 7641, 267, 11356, 267, 1433, 610, 2780, 267, 610, 1256, 707, 6049, 268, 596, 786, 4043, 547, 936, 3887, 520, 563, 268, 1684, 711, 3548, 1175, 1354, 1427, 3931, 547, 5127, 693, 3781, 269, 898, 568, 519, 8338, 4356, 585, 707, 2597, 2638, 543, 2635, 2732, 1544, 269, 11408, 3548, 476, 273, 268, 274, 3108, 1354, 2469, 547, 5127, 543, 723, 693, 2547, 513, 476, 1015, 18826, 3802, 1310, 602, 269, 898, 786, 948, 538, 12536, 607, 1134, 563, 268, 11408, 723, 513, 1434, 2635, 543, 5230, 14254, 2094, 938, 1560, 568, 519, 1034, 3742, 1310, 513, 1279, 3781, 779, 1964, 269, 1924, 568, 519, 9667, 1062, 269, 3973, 723, 513, 4829, 267, 840, 2000, 4875, 269, 2991, 602, 723, 513, 2635, 12899, 1287, 513, 1769, 15165, 609, 10543, 7401, 543, 12129, 1058, 2141, 581, 1769, 543, 1259, 1354, 3207, 563, 268, 1284, 991, 547, 3548, 782, 519, 4778, 269, 8786, 267, 4778, 269, 16202, 3039, 5388, 267, 5835, 543, 2699, 5613, 267, 543, 1018, 2254, 269, 12213, 23416, 1611, 7184, 3638, 538, 6886, 267, 7513, 267, 543, 824, 5567, 543, 14434, 563, 268, 16202, 811, 540, 3039, 5388, 269, 7935, 19233, 267, 22156, 267, 543, 22648, 1058, 581, 2016, 2956, 538, 707, 2732, 269, 1358, 616, 3638, 538, 782, 5686, 540, 8324, 267, 13058, 267, 7513, 267, 543, 13101, 563, 268, 16202, 6653, 5388, 547, 14183, 707, 6653, 5694, 269, 1411, 6159, 557, 11950, 2965, 950, 596, 1616, 547, 723, 513, 6653, 18397, 865, 1946, 711, 14183, 621, 676, 4189, 12277, 267, 8970, 267, 17436, 267, 610, 19637, 286, 901, 786, 849, 711, 1039, 547, 707, 2597, 23479, 563, 268, 29799, 14933, 609, 3039, 7401, 269, 898, 568, 3638, 538, 4550, 268, 31038, 1218, 543, 3947, 596, 513, 2635, 5818, 563, 268, 29799, 3339, 7573, 609, 6960, 7573, 1317, 596, 1058, 3548, 2898, 9274, 899, 6960, 7573, 267, 24061, 267, 543, 2113, 2280, 563, 268, 3417, 10808, 543, 3819, 5613, 538, 707, 2732, 1544, 607, 789, 616, 1360, 2500, 585, 1434, 1072, 563, 268, 26287, 1231, 616, 519, 2679, 7161, 540, 1480, 1272, 267, 607, 789, 1205, 10736, 883, 11254, 7408, 2899, 3330, 519, 1560, 269, 1924, 1331, 3940, 538, 707, 2732, 899, 20512, 267, 5798, 267, 9269, 267, 3092, 269, 1809, 849, 798, 711, 936, 4777, 621, 607, 621, 849, 814, 513, 2942, 1198, 593, 14401, 563, 268, 8347, 4189, 2635, 3940, 2959, 899, 3165, 267, 5798, 267, 3092, 269, 3079, 540, 2699, 5779, 269, 6684, 267, 3170, 6954, 10683, 2472, 1058, 581, 9053, 2864, 547, 3170, 11656, 10683, 2472, 563, 4322, 3339, 8192, 6208, 786, 9090, 27906, 1047, 707, 1072, 593, 513, 3152, 4336, 269, 1924, 1246, 891, 2596, 3652, 540, 513, 2635, 2732, 1544, 543, 2972, 707, 1272, 547, 519, 2407, 652, 269, 0, 1607, 26613, 3992, 1544, 568, 2966, 1472, 513, 2110, 3381, 11331, 5564, 574, 11669, 18311, 693, 476, 866, 543, 519, 4798, 540, 1617, 574, 11669, 320, 2231, 543, 11475, 269, 4841, 1451, 6863, 1644, 547, 1617, 574, 11669, 320, 2231, 543, 1870, 267, 2911, 827, 1617, 574, 11669, 320, 2231, 543, 11475, 267, 3589, 519, 1543, 540, 513, 2110, 3381, 267, 4585, 513, 2110, 3381, 267, 2347, 13156, 4967, 267, 20272, 513, 2110, 3381, 267, 1685, 513, 1909, 2452, 543, 2992, 593, 519, 3992, 563, 23458, 1377, 281, 29329, 630, 289, 272, 264, 1107, 16592, 29329, 630, 289, 273, 994, 7075, 1676, 1826, 281, 1855, 839, 543, 4079, 454, 11742, 281, 476, 3445, 3764, 454, 12244, 281, 4804, 6863, 1644, 547, 1617, 574, 11669, 320, 2231, 543, 1870, 267, 6158, 827, 1617, 574, 11669, 320, 2231, 543, 11475, 267, 17782, 519, 1543, 540, 513, 2110, 3381, 267, 8384, 513, 2110, 3381, 267, 11264, 13156, 4967, 267, 30228, 513, 2110, 3381, 267, 7900, 513, 1909, 2452, 543, 10452, 593, 519, 3992, 454, 307, 8084, 281, 5564, 574, 11669, 320, 2231, 543, 11475, 454, 23458, 281, 18500, 1644, 547, 1617, 574, 11669, 320, 2231, 543, 1870, 454, 19400, 519, 2110, 3381, 269, 0, 23530, 7754, 1564, 616, 8440, 540, 10859, 8410, 2265, 633, 1570, 630, 17141, 13339, 264, 2966, 547, 1711, 5201, 950, 1769, 31438, 593, 621, 269, 634, 6793, 519, 1769, 267, 519, 811, 3608, 519, 4276, 267, 543, 519, 811, 5201, 568, 2813, 269, 8786, 267, 713, 1281, 1611, 602, 621, 666, 5352, 5201, 1256, 593, 513, 31063, 1554, 256, 15380, 1142, 8470, 5932, 476, 25228, 26334, 513, 1554 ]

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

[ 2622, 22453, 5680, 563, 268, 834, 7343, 21043, 269, 9549, 5867, 269, 476, 6642, 279, 9899, 533, 269, 476, 4649, 278, 268, 276, 4792, 454, 20373, 1759, 593, 1820, 4528, 2594, 454, 6262, 264, 1001, 271, 18706, 573, 344, 18280, 690, 5224, 7896, 267, 5549, 454, 268, 18135, 1380, 267, 15751, 454, 268, 7457, 10163, 9689, 912, 268, 10163, 24071, 585, 946, 676, 3135, 12689, 563, 347, 19613, 1475, 24687, 1475, 7312, 10753, 534, 8889, 2008, 347, 20373, 1475, 1805, 9850, 1475, 289, 2117, 1712, 1475, 7312, 10753, 534, 8889, 347, 0, 763, 16505, 5131, 3245, 21311, 21694, 2920, 17372, 525, 7025, 31700, 454, 19688, 476, 4905, 267, 476, 1708, 272, 454, 12441, 596, 917, 602, 1152, 476, 280, 260, 540, 782, 15229, 2479, 2813, 814, 1044, 13381, 543, 602, 519, 2136, 2276, 12958, 811, 5068, 3653, 982, 1022, 2197, 538, 519, 1158, 286, 962, 578, 5633, 256, 634, 16505, 5131, 3245, 21311, 21694, 2920, 568, 606, 4316, 585, 6837, 547, 1491, 1483, 2962, 543, 2232, 519, 5068, 5533, 6433, 269, 898, 786, 2569, 5068, 2504, 1354, 621, 2479, 814, 513, 4960, 547, 3542, 1393, 676, 943, 2084, 856, 11991, 2582, 14025, 5068, 2472, 267, 17328, 6748, 1007, 5068, 6703, 267, 8066, 3549, 18177, 585, 741, 3653, 267, 543, 9750, 19074, 543, 1201, 650, 3292, 269, 6258, 811, 827, 634, 16505, 5131, 3245, 21311, 21694, 2920, 267, 4647, 519, 16505, 5131, 3245, 21311, 21694, 2920, 5517, 16847, 543, 1451, 875, 596, 666, 1397, 707, 1489, 256, 0, 268, 5808, 5206, 519, 1433, 540, 1160, 18690, 476, 275, 888, 268, 4208, 798, 649, 946, 605, 18690, 888, 268, 1772, 7326, 519, 10513, 13336, 888, 268, 1548, 568, 519, 2495, 540, 1160, 18690, 476, 4029, 888, 268, 1548, 1281, 476, 603, 1408, 1611, 888, 268, 1548, 616, 519, 476, 276, 14686, 21359, 888, 268, 1548, 568, 7326, 1611, 888, 268, 1548, 1281, 1160, 18690, 476, 275, 2161, 888, 268, 5808, 568, 7326, 538, 519, 3883, 540, 1160, 18690, 888, 268, 5808, 5206, 25360, 332, 888, 268, 5808, 729, 1160, 18690, 476, 4029, 2854, 827, 888, 268, 5808, 5206, 1160, 18690, 476, 279, 888, 268, 1772, 585, 333, 1709, 513, 5609, 538, 519, 6426, 888, 268, 1548, 1281, 1160, 18690, 476, 274, 2161, 888, 268, 5808, 568, 519, 2278, 540, 1160, 18690, 476, 1789, 888, 268, 1548, 616, 519, 476, 278, 21359, 602, 2696, 554, 919, 888, 268, 1548, 1160, 18690, 1797, 888, 268, 1548, 568, 606, 3979, 605, 14620, 888, 268, 5808, 5206, 1160, 18690, 476, 2420, 888, 268, 6496, 2696, 31799, 782, 21359, 888, 8005, 5206, 519, 1433, 540, 1160, 18690, 476, 275, 888, 21914, 21125, 763, 1433, 779, 25436, 5524, 267, 968, 763, 605, 18690, 540, 21125, 563, 2223, 568, 711, 547, 2161, 602, 621, 607, 513, 2898, 610, 1256, 1367, 605, 18690, 1058, 581, 20295, 547, 3751, 21125, 267, 585, 14046, 6514, 12607, 4680, 602, 621, 3568, 5722, 10070, 540, 7326, 2326, 630, 2865, 569, 2110, 2161, 902, 264, 689, 513, 2647, 3099, 540, 5712, 267, 782, 1310, 2560, 563, 3963, 798, 649, 946, 605, 18690, 888, 1432, 2306, 605, 18690, 865, 2442, 543, 3532, 568, 789, 1921, 547, 1360, 2620, 5626, 5072, 538, 1480, 7919, 1848, 1160, 18690, 1831, 2442, 1317, 968, 15161, 946, 873, 547, 1921, 609, 824, 1004, 543, 519, 7326, 540, 519, 2250, 1848, 769, 938, 960, 1272, 267, 602, 7326, 568, 2356, 1031, 547, 18663, 9164, 543, 5520, 563, 3674, 7326, 519, 10513, 13336, 888, 1103, 1160, 18690, 7326, 568, 513, 12287, 269, 769, 31519, 654, 3041, 291, 6865, 568, 2047, 4448, 547, 634, 10513, 13336, 269, 2560, 769, 31519, 769, 519, 6196, 11620, 267, 634, 10513, 13336, 3357, 2390, 2696, 779, 595, 19879, 1004, 267, 519, 7642, 267, 547, 2285, 873, 16750, 7326, 547, 1374, 270, 22056, 1919, 789, 723, 2760, 2938, 1354, 563, 1432, 568, 519, 2495, 540, 1160, 18690, 476, 4029, 888, 335, 571, 1047, 540, 519, 1434, 7385, 2005, 568, 513, 17192, 540, 519, 1434, 7385, 267, 513, 4214, 540, 513, 3501, 7385, 610, 968, 728, 531, 4807, 892, 538, 519, 4182, 540, 5840, 267, 945, 568, 2048, 534, 1802, 560, 686, 748, 2777, 342, 1057, 267, 513, 695, 4319, 323, 1870, 30513, 267, 606, 9432, 2358, 911, 1457, 267, 513, 21464, 1829, 18503, 630, 2091, 476, 736, 264, 543, 513, 8797, 4116, 630, 2091, 476, 2918, 1916, 1432, 1281, 476, 603, 1408, 1611, 888, 763, 2012, 267, 594, 628, 1408, 267, 814, 607, 922, 3597, 513, 8390, 540, 519, 2262, 17333, 630, 403, 494, 25149, 402, 373, 403, 359, 32679, 264, 2495, 968, 338, 793, 892, 543, 666, 581, 21235, 607, 968, 1492, 1913, 540, 2696, 2223, 968, 515, 945, 6956, 519, 4191, 2223, 610, 968, 515, 945, 6956, 519, 9904, 540, 2696, 1848, 4039, 908, 547, 519, 5022, 540, 519, 12355, 9904, 267, 519, 3597, 2262, 17333, 849, 19752, 968, 24393, 3034, 1432, 616, 519, 476, 276, 14686, 21359, 888, 24171, 13985, 21590, 267, 789, 616, 630, 272, 264, 642, 320, 532, 331, 800, 267, 610, 11348, 267, 630, 273, 264, 26846, 267, 610, 524, 913, 339, 748, 1145, 267, 630, 274, 264, 561, 755, 267, 610, 538, 15453, 610, 28302, 4638, 7287, 267, 630, 275, 264, 679, 11803, 267, 630, 276, 264, 22965, 2023, 344, 267, 799, 568, 2356, 6956, 547, 1331, 1743, 684, 5287, 1145, 267, 630, 277, 264, 32716, 267, 610, 10845, 267, 543, 630, 278, 264, 1793, 1054, 563, 1432, 568, 7326, 1611, 888, 29825, 269, 519, 2298, 610, 1533, 540, 1373, 8797, 282, 1702, 540, 1018, 568, 3020, 610, 1318, 13745, 609, 1175, 10385, 607, 547, 2962, 282, 29345, 13369, 267, 20559, 618, 267, 610, 5813, 269, 14046, 1702, 610, 1565, 281, 519, 7326, 540, 519, 3506, 269, 8797, 2161, 902, 610, 10752, 282, 840, 32383, 269, 513, 8797, 957, 610, 6031, 563, 1432, 1281, 1160, 18690, 476, 275, 2161, 888, 3682, 18690, 476, 275, 476, 272, 5192, 7326, 267, 1205, 1620, 282, 798, 711, 7340, 1250, 1913, 610, 2220, 2925, 689, 873, 269, 1684, 711, 585, 338, 820, 7326, 267, 543, 1352, 786, 2149, 596, 282, 2648, 1200, 267, 543, 1352, 786, 4585, 936, 596, 269, 27067, 568, 18678, 282, 4061, 1205, 7326, 269, 9282, 621, 1942, 782, 596, 723, 267, 1205, 1620, 563, 8005, 568, 7326, 538, 519, 3883, 540, 1160, 18690, 888, 763, 1268, 2305, 540, 7326, 267, 3335, 607, 513, 22233, 4807, 267, 568, 513, 14953, 1336, 538, 3909, 543, 10952, 5931, 267, 1034, 16113, 538, 519, 3883, 540, 1160, 18690, 538, 519, 12355, 6426, 543, 824, 6014, 543, 4168, 5931, 563, 8005, 5206, 25360, 332, 888, 6097, 547, 6014, 2245, 267, 519, 3883, 540, 25360, 916, 729, 7768, 676, 4557, 22242, 267, 2059, 609, 6424, 945, 729, 835, 540, 922, 9030, 20334, 269, 8409, 12799, 3957, 616, 519, 3689, 2494, 630, 3849, 600, 1070, 9253, 577, 1242, 2131, 267, 14062, 267, 15584, 267, 12920, 534, 267, 808, 539, 3578, 684, 267, 1306, 7469, 267, 543, 519, 1614, 14930, 540, 31704, 1695, 563, 8005, 729, 1160, 18690, 476, 4029, 2854, 827, 888, 11854, 27218, 6818, 543, 23083, 602, 19748, 3241, 729, 1261, 345, 2131, 11672, 267, 21125, 267, 513, 4622, 540, 7136, 320, 267, 610, 535, 1112, 25875, 269, 2560, 21125, 779, 3993, 729, 24872, 9917, 9346, 267, 799, 949, 1611, 1352, 568, 519, 2278, 540, 519, 968, 1231, 18944, 19039, 766, 892, 540, 713, 3296, 540, 1160, 18690, 269, 3509, 6085, 2209, 3335, 7941, 3848, 476, 4029, 540, 1160, 18690, 883, 1079, 3982, 267, 20775, 6810, 563, 8005, 5206, 1160, 18690, 476, 279, 888, 763, 25436, 18587, 7941, 519, 10070, 607, 5205, 281, 1160, 18690, 476, 272, 1700, 280, 281, 968, 3682, 18690, 540, 21125, 267, 12312, 540, 6424, 267, 3751, 540, 5840, 892, 1160, 18690, 476, 1015, 1700, 2420, 281, 1626, 281, 968, 3682, 18690, 540, 21125, 7536, 3674, 585, 333, 1709, 513, 5609, 538, 519, 6426, 888, 2414, 4497, 538, 840, 3405, 1388, 610, 970, 1090, 541, 1388, 3023, 267, 1354, 610, 3544, 540, 7365, 267, 568, 547, 5609, 538, 2696, 779, 8289, 269, 2334, 568, 10502, 519, 1448, 540, 1261, 3691, 9749, 476, 1724, 281, 275, 267, 513, 14235, 1419, 5219, 547, 538, 713, 2186, 540, 4901, 563, 1432, 1281, 1160, 18690, 476, 274, 2161, 888, 289, 1043, 19835, 3118, 1160, 18690, 476, 274, 26012, 715, 4353, 269, 585, 789, 786, 10804, 707, 1272, 1082, 1296, 543, 3142, 596, 13884, 269, 2913, 2648, 543, 5132, 6888, 2760, 4734, 596, 282, 12622, 873, 1472, 707, 8405, 267, 2328, 873, 593, 519, 16979, 540, 707, 2295, 269, 3973, 596, 786, 3094, 3870, 543, 513, 1434, 2012, 538, 519, 8289, 540, 2696, 543, 812, 563, 8005, 568, 519, 2278, 540, 1160, 18690, 476, 1789, 888, 13070, 584, 1649, 25455, 327, 13070, 584, 1649, 25455, 327, 630, 3891, 11119, 281, 13913, 494, 403, 496, 25149, 29645, 13913, 495, 403, 509, 13913, 503, 403, 356, 403, 498, 264, 729, 519, 29085, 540, 513, 4015, 540, 605, 18690, 1336, 538, 1160, 18690, 476, 1789, 267, 799, 568, 3006, 1634, 607, 519, 3883, 540, 3397, 584, 610, 17166, 902, 540, 3397, 584, 563, 1432, 616, 519, 476, 278, 21359, 602, 2696, 554, 919, 888, 6097, 547, 519, 3044, 1592, 267, 789, 616, 11348, 267, 26846, 267, 32716, 267, 679, 11803, 267, 561, 755, 267, 22965, 2023, 344, 267, 543, 1793, 1054, 267, 799, 616, 14669, 547, 519, 5722, 31676, 21644, 563, 1432, 1160, 18690, 1797, 888, 763, 4214, 540, 513, 605, 14620, 568, 513, 2110, 6031, 602, 568, 4922, 1031, 547, 2769, 606, 6654, 5168, 269, 2560, 1160, 18690, 568, 513, 1433, 540, 519, 6426, 602, 3568, 18408, 610, 1913, 540, 7326, 689, 21125, 543, 824, 8797, 5840, 529, 267, 610, 2489, 2161, 902, 799, 616, 2808, 8797, 269, 670, 4292, 2306, 3653, 568, 606, 1383, 540, 513, 605, 14620, 563, 1432, 568, 606, 3979, 605, 14620, 888, 3682, 18690, 616, 606, 7533, 851, 540, 3979, 2528, 269, 2560, 1160, 18690, 616, 1031, 547, 9414, 2093, 267, 12927, 7440, 543, 5838, 6835, 540, 6667, 267, 931, 15684, 267, 11812, 543, 5796, 269, 634, 1390, 30645, 2278, 25590, 7699, 3600, 515, 2041, 2899, 5206, 281, 968, 3682, 18690, 616, 519, 13869, 3282, 609, 799, 1913, 616, 13881, 3034, 8005, 5206, 1160, 18690, 476, 2420, 888, 22069, 14137, 276, 4366, 264, 2854, 676, 21125, 267, 519, 3791, 4622, 540, 5840, 269, 1452, 8370, 11271, 941, 2854, 607, 513, 4651, 8716, 1010, 5067, 547, 2648, 7326, 543, 25176, 689, 1165, 569, 563, 9989, 2696, 31799, 782, 21359, 888, 5472, 21359, 4927, 581, 8483, 1508, 267, 4849, 519, 5609, 1996, 519, 10513, 26415, 282, 585, 4906, 786, 4688, 782, 4849, 519, 14930, 540, 829, 1288, 269, 1548, 1590, 513, 812, 798, 547, 3479, 519, 10002, 30972, 762, 5609, 286, 1261, 1590, 4309, 519, 10513, 26415, 267, 723, 519, 30723, 8118, 21349, 1864, 267, 543, 917, 2696, 267, 543, 1287, 5609, 1996, 1864, 269, 0, 303, 13263, 3008, 610, 623, 23177, 786, 711, 1020, 538, 1169, 1126, 609, 606, 3968, 269, 630, 22131, 2402, 2097, 543, 979, 1070, 5948, 609, 1895, 589, 29530, 268, 1335, 32673, 1792, 696, 25497, 5632, 3968, 630, 294, 5723, 9391, 1070, 717, 5723, 9391, 23576, 676, 2901, 513, 2318, 11563, 2528, 585, 1792, 335, 610, 2318, 585, 1792, 696, 19905, 1583, 1108, 630, 3008, 5588, 610, 14640, 19091, 572, 5174, 1070, 589, 1686, 540, 25753, 2280, 674, 1197, 610, 28039, 9964, 8611, 269, 1323, 11506, 4550, 3613, 516, 696, 25497, 5632, 512, 3438, 630, 7945, 607, 606, 6789, 5588, 610, 606, 14640, 19091, 572, 5174, 264, 1797, 519, 1126, 814, 1185, 513, 1792, 335, 269, 623, 23177, 281, 14529, 8824, 26590, 268, 976, 564, 11671, 268, 17595, 12278, 15540, 267, 623, 13263, 3008, 281, 14529, 8824, 16790, 14545, 11671, 268, 17595, 12278, 13081, 23105, 609, 6790, 335, 589, 269, 623, 23177, 270, 623, 13263, 3008, 568, 513, 2370, 1634, 267, 855, 1521, 762, 267, 2564, 2783, 602, 5654, 899, 513, 17867, 4524, 269, 898, 568, 10355, 8995, 543, 2370, 6956, 676, 519, 2489, 2564, 2146, 269, 2776, 26247, 532, 568, 1898, 269, 634, 1234, 8469, 623, 23177, 1299, 623, 13263, 3008, 18669, 13166, 8118, 538, 4728, 476, 1001, 279, 543, 3366, 676, 3223, 517, 773, 18703, 267, 519, 13653, 540, 1234, 8469, 7849, 6925, 18669, 543, 14844, 1755, 12949, 945, 814, 1044, 14916, 8156, 1453, 609, 623, 23177, 543, 623, 13263, 3008, 585, 1896, 1296, 269, 901, 1797, 602, 623 ]

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

[ 273, 692, 300, 573, 3410, 22410, 476, 272, 609, 10298, 910, 4569, 476, 6872, 275, 267, 7671, 774, 11448, 630, 25079, 287, 4118, 31892, 12975, 264, 13628, 267, 5988, 476, 280, 267, 476, 1001, 273, 476, 272, 269, 630, 274, 2798, 1142, 264, 1280, 1142, 4845, 2630, 267, 2161, 2436, 621, 568, 25401, 6697, 547, 519, 4845, 692, 2162, 2598, 4740, 9119, 17976, 476, 272, 20603, 540, 3281, 895, 32276, 269, 22489, 18999, 8725, 1715, 3840, 2160, 692, 11514, 4740, 9119, 17976, 476, 272, 20603, 540, 3281, 895, 32276, 22489, 18999, 8725, 1715, 3840, 2160, 10029, 4147, 5680, 13505, 5291, 2517, 14369, 269, 5500, 340, 12975, 11305, 12973, 4882, 28026, 4962, 17320, 2420, 269, 23056, 271, 268, 9826, 270, 631, 9430, 5903, 4427, 18285, 693, 692, 2162, 3848, 476, 274, 269, 19577, 269, 476, 274, 269, 272, 634, 7186, 540, 19577, 692, 6637, 476, 274, 19577, 476, 274, 269, 272, 634, 7186, 540, 19577, 1284, 2253, 609, 513, 10952, 4901, 593, 519, 2470, 540, 6169, 269, 1879, 513, 1268, 568, 18486, 585, 513, 6760, 543, 4547, 547, 4693, 267, 621, 568, 10924, 602, 519, 31989, 814, 692, 2162, 7201, 12392, 11872, 538, 9119, 269, 23916, 15306, 2160, 4972, 540, 9119, 269, 13823, 2563, 11872, 538, 2598, 4740, 9119, 692, 15152, 12392, 11872, 538, 9119, 23916, 15306, 2160, 4972, 540, 9119, 13823, 2563, 11872, 538, 2598, 4740, 9119, 3057, 4897, 645, 269, 5685, 534, 524, 2353, 7126, 27616, 7831, 21213, 4989, 476, 277, 267, 476, 1001, 277, 2776, 2183, 692, 2162, 9502, 476, 1015, 269, 589, 20790, 568, 513, 3948, 2901, 3020, 610, 7301, 267, 855, 711, 1312, 780, 6637, 476, 273, 1160, 6570, 531, 20603, 2552, 337, 926, 3772, 267, 4797, 570, 15634, 1194, 2465, 267, 952, 621, 729, 865, 267, 621, 1522, 581, 282, 543, 952, 621, 941, 865, 267, 621, 1131, 581, 282, 855, 607, 621, 3884, 512, 267, 621, 513, 514, 512, 269, 2334, 521, 7954, 269, 630, 299, 1168, 529, 2961, 2651, 267, 7705, 521, 24601, 692, 2162, 11929, 476, 272, 12226, 281, 20603, 543, 19577, 692, 304, 7742, 674, 17920, 476, 1001, 273, 267, 28960, 8656, 2793, 6167, 4353, 8991, 14510, 11929, 476, 272, 12226, 281, 20603, 543, 19577, 5181, 476, 1704, 267, 476, 1001, 273, 27491, 281, 7490, 2626, 1142, 2243, 4625, 267, 543, 1397, 782, 540, 707, 960, 269, 3487, 658, 5491, 786, 581, 13752, 1141, 692, 2162, 8791, 476, 272, 269, 32276, 543, 18266, 23959, 269, 9502, 476, 272, 269, 272, 281, 589, 6310, 3948, 568, 513, 3616, 541, 894, 4845, 602, 568, 3020, 610, 7301, 267, 855, 711, 1312, 780, 300, 25834, 271, 26929, 531, 11872, 281, 9978, 20603, 16610, 769, 713, 1576, 649, 786, 4983, 6898, 827, 6310, 2035, 543, 3347, 1063, 891, 2035, 630, 3698, 20532, 267, 5376, 916, 1040, 1284, 786, 849, 2015, 692, 2162, 476, 274, 269, 274, 19577, 338, 12833, 6295, 10829, 13294, 692, 274, 269, 274, 19577, 338, 12833, 6295, 10829, 13294, 476, 272, 269, 769, 3635, 476, 277, 540, 8791, 476, 273, 269, 273, 596, 946, 9266, 5973, 1878, 547, 1397, 602, 1535, 9638, 630, 343, 264, 1627, 3287, 4297, 568, 6697, 547, 1535, 335, 630, 343, 264, 1535, 336, 3287, 1040, 3767, 946, 519, 2409, 540, 713, 3296, 547, 6961, 602, 692, 2162, 2598, 4740, 9119, 17976, 476, 274, 16504, 7089, 7869, 543, 10613, 540, 19577, 269, 22489, 18999, 8725, 1715, 3840, 2160, 692, 11514, 4740, 9119, 17976, 476, 274, 16504, 7089, 7869, 543, 10613, 540, 19577, 22489, 18999, 8725, 1715, 3840, 2160, 19577, 543, 4032, 699, 343, 2217, 20570, 543, 6169, 4634, 543, 9642, 2338, 1297, 562, 689, 2098, 568, 1572, 692, 2162, 20530, 6510, 20603, 269, 7151, 281, 2353, 2367, 616, 6180, 531, 269, 24198, 568, 513, 812, 269, 24198, 568, 6180, 531, 780, 303, 1042, 6510, 20603, 7151, 281, 2353, 2367, 616, 6180, 531, 269, 24198, 568, 513, 812, 269, 24198, 568, 6180, 531, 269, 8074, 281, 1284, 991, 7954, 4031, 602, 960, 585, 6898, 5473, 9424, 899, 930, 543, 782, 269, 769, 2296, 267, 519, 2392, 6510, 568, 692, 2162, 476, 4029, 568, 513, 6305, 1297, 568, 513, 6310, 3948, 630, 6518, 4523, 547, 581, 3020, 6393, 6637, 476, 272, 19556, 20603, 769, 922, 1034, 2596, 1106, 267, 9119, 568, 519, 2259, 540, 26471, 5168, 547, 7143, 671, 18249, 6898, 269, 769, 713, 1576, 267, 649, 786, 1020, 519, 1983, 547, 946, 1634, 3020, 6898, 547, 692, 2162, 4569, 476, 4968, 271, 26121, 3794, 27443, 692, 13043, 476, 4968, 271, 26121, 3794, 27443, 7831, 21213, 593, 281, 5147, 476, 1428, 267, 476, 1001, 275, 634, 4214, 540, 3688, 6825, 609, 513, 1590, 581, 1634, 10502, 269, 3848, 476, 272, 281, 476, 272, 269, 589, 1305, 281, 589, 4015, 540, 3615, 1572, 2609, 269, 476, 273, 269, 634, 8900, 1305, 630, 692, 2162, 20591, 290, 3918, 15288, 13878, 295, 281, 700, 17614, 13543, 476, 275, 692, 291, 3041, 290, 3918, 15288, 13878, 295, 281, 700, 17614, 13543, 476, 275, 19010, 269, 667, 3198, 296, 5085, 674, 3918, 4932, 3198, 476, 272, 269, 3848, 476, 274, 269, 272, 20530, 545, 919, 543, 10829, 1881, 32276, 594, 589, 2392, 6510, 568, 513, 4845, 602, 3568, 513, 13113, 1297, 540, 4632, 543, 3587, 513, 3948, 950, 1808, 692, 2162, 476, 272, 1160, 6570, 267, 8298, 673, 1921, 1161, 543, 7623, 6898, 692, 11514, 4740, 9119, 281, 17976, 476, 275, 4985, 547, 20603, 26189, 528, 281, 589, 686, 329, 527, 645, 880, 20692, 11261, 281, 5147, 476, 2767, 267, 476, 1220, 280, 476, 272, 1160, 6570, 267, 8298, 673, 1921, 1161, 543, 7623, 6898, 20603, 568, 519, 9015, 602, 9388, 609, 519, 692, 2162, 10298, 585, 6657, 2042, 593, 15997, 692, 22069, 1903, 585, 6657, 2042, 593, 15997, 9502, 281, 630, 16838, 264, 1323, 8870, 562, 2098, 568, 1256, 952, 543, 1152, 952, 562, 815, 476, 273, 332, 585, 930, 1297, 544, 2098, 269, 9502, 281, 630, 15957, 264, 1323, 8870, 562, 2098, 568, 9642, 952, 543, 1152, 952, 562, 815, 476, 273, 332, 1341, 476, 272, 585, 930, 692, 2162, 16504, 7089, 7869, 543, 10613, 540, 19577, 269, 595, 10345, 476, 21497, 267, 25043, 540, 8950, 3163, 853, 3415, 15588, 2160, 5291, 2517, 4178, 6983, 338, 14714, 3415, 15842, 758, 780, 292, 11915, 7089, 7869, 543, 10613, 540, 19577, 595, 10345, 476, 21497, 267, 25043, 540, 8950, 3163, 853, 3415, 15588, 2160, 5291, 2517, 4178, 6983, 338, 14714, 3415, 15842, 758, 12975, 270, 349, 22330, 21497, 476, 272, 7089, 3069, 16544, 281, 476, 273, 16544, 540, 9981, 630, 3369, 1961, 692, 2162, 19452, 267, 649, 723, 32475, 281, 12596, 602, 666, 1152, 581, 7301, 267, 552, 3052, 269, 630, 335, 533, 6393, 6224, 22790, 476, 275, 269, 29865, 30121, 700, 8104, 2975, 476, 6795, 634, 1318, 2865, 6241, 540, 713, 5168, 3349, 3568, 8320, 540, 570, 543, 8320, 540, 674, 269, 18564, 602, 972, 616, 1100, 5232, 540, 20314, 1890, 269, 1403, 1312, 2418, 616, 2009, 267, 519, 4542, 692, 2162, 476, 2420, 290, 281, 866, 2598, 4740, 4569, 269, 1924, 269, 1548, 568, 621, 286, 4208, 15768, 2979, 286, 12096, 476, 1220, 280, 670, 656, 7776, 18681, 692, 2420, 290, 281, 866, 2598, 4740, 4569, 12096, 476, 1220, 280, 670, 656, 7776, 18681, 1924, 269, 1548, 568, 621, 286, 2598, 4740, 6128, 568, 519, 1353, 540, 6310, 3889, 602, 616, 21739, 15768, 267, 538, 519, 2631, 540, 711, 5885, 610, 8506, 519, 692, 2162, 20603, 786, 1205, 596, 689, 589, 547, 645, 269, 22569, 1588, 786, 1491, 596, 10876, 780, 6637, 476, 274, 20530, 6510, 20603, 20603, 786, 1205, 596, 689, 589, 547, 645, 269, 22569, 1588, 786, 1491, 596, 10876, 269, 589, 269, 18160, 769, 519, 3105, 3184, 267, 649, 6594, 20790, 531, 7954, 269, 901, 3184, 568, 6131, 547, 1776, 692, 2162, 17976, 11872, 538, 2598, 4740, 9119, 269, 3057, 4897, 645, 269, 5685, 534, 23916, 15306, 2160, 524, 2353, 7126, 27616, 692, 299, 15145, 11872, 538, 2598, 4740, 9119, 3057, 4897, 645, 269, 5685, 534, 23916, 15306, 2160, 524, 2353, 7126, 27616, 476, 273, 2776, 2183, 901, 1433, 568, 2966, 585, 513, 835, 19496, 1576, 538, 15768, 6128, 585, 8683, 558, 648, 610, 21738, 692, 2162, 14584, 267, 476, 3607, 280, 771, 329, 2002, 6292, 3772, 267, 476, 4375, 276, 771, 329, 2002, 5036, 267, 476, 26951, 771, 329, 4233, 267, 476, 3451, 267, 476, 3607, 2733, 5737, 4031, 692, 19340, 6207, 1871, 267, 476, 13670, 476, 15221, 19605, 3961, 267, 476, 22724, 19605, 11201, 267, 476, 22724, 513, 548, 874, 267, 476, 5379, 277, 7223, 540, 5036, 267, 476, 25090, 267, 476, 30116, 24431, 2096, 13240, 6935, 267, 476, 4343, 278, 9095, 338, 710, 1599, 267, 476, 4097, 280, 12980, 5311, 267, 476, 21172, 15561, 6516, 10484, 2162, 20530, 6510, 20603, 269, 12359, 807, 631, 2227, 269, 15604, 20530, 545, 919, 543, 10829, 13294, 715, 6479, 10829, 13294, 4635, 20530, 6510, 20145, 692, 303, 1042, 6510, 20603, 15604, 476, 1001, 271, 20530, 545, 919, 589, 20530, 6510, 568, 513, 3616, 541, 894, 4845, 4171, 3020, 11721, 4426, 1871, 5673, 593, 835, 610, 811, 4632, 269, 634, 3948, 1535, 568, 3152, 982, 476, 274, 814, 1079, 2694, 281, 519, 1641, 281, 1535, 568, 692, 2162, 4569, 476, 4968, 271, 8791, 476, 19740, 2271, 549, 547, 17593, 4569, 14581, 476, 273, 692, 13043, 476, 4968, 271, 8791, 476, 19740, 2271, 549, 547, 17593, 4569, 14581, 476, 273, 4972, 540, 19556, 543, 18926, 7070, 2160, 540, 12548, 28631, 267, 11354, 476, 1001, 273, 10298, 630, 21938, 476, 1724, 267, 476, 1001, 273, 264, 7490, 4063, 602, 891, 692, 2162, 26386, 540, 9119, 17976, 476, 277, 281, 1160, 6570, 531, 20603, 692, 293, 1495, 22954, 540, 9119, 17976, 476, 277, 281, 1160, 6570, 531, 20603, 2871, 534, 4149, 6062, 1263, 29399, 2817, 15616, 15089, 2160, 267, 15990, 11354, 267, 476, 1220, 279, 476, 272, 1315, 476, 4375, 4045, 1161, 1160, 6570, 531, 4045, 1161, 594, 476, 272, 10598, 566, 281, 630, 2254, 589, 264, 589, 589, 570, 674, 692, 2162, 13878, 295, 11555, 26177, 918, 3951, 269, 3115, 22004, 609, 10479, 540, 519, 26133, 4937, 10055, 656, 5948, 540, 4516, 780, 21316, 295, 11555, 26177, 918, 3951, 3115, 22004, 609, 10479, 540, 519, 26133, 4937, 10055, 656, 5948, 540, 4516, 269, 14645, 476, 876, 676, 519, 26133, 4937, 10055, 656, 5948, 540, 4516, 543, 519, 772, 6195, 7464, 24529, 10406, 780, 2162, 654, 308, 6311, 13199, 269, 2598, 4740, 9119, 269, 20603, 692, 310, 308, 6311, 13199, 2598, 4740, 9119, 20603, 476, 272, 269, 20603, 476, 273, 269, 20530, 6510, 20603, 476, 274, 269, 19577, 338, 476, 275, 269, 5590, 7869, 476, 276, 269, 9534, 543, 12793, 654, 308, 6311, 13199, 20603, 476, 272, 8791, 476, 272, 269, 20603, 476, 272, 269, 272, 269, 4985, 269, 769, 3384, 513, 6310, 3069, 10484, 2162, 18040, 2969, 25758, 13878, 26154, 22310, 11550, 302, 12396, 6730, 654, 14176, 5990, 312, 25758, 29313, 18306, 19611, 2496, 20062, 2969, 25758, 13878, 26154, 22310, 11550, 302, 12396, 6730, 654, 14176, 5990, 312, 25758, 29313, 18306, 19611, 286, 4367, 3509, 1053, 3100, 547, 723, 8373, 609, 519, 10206, 540, 513, 6310, 6169, 269, 4658, 602, 2097, 547, 513, 1576, 899, 4569, 476, 21327, 267, 945, 6157, 692, 2162, 19556, 1473, 25934, 692, 12385, 3012, 673, 1473, 25934, 8841, 14088, 577, 1731, 12096, 540, 476, 1220, 276, 17976, 476, 273, 630, 719, 540, 1614, 264, 4643, 476, 272, 269, 16200, 1473, 25934, 476, 273, 269, 674, 5435, 344, 1473, 340, 2388, 476, 274, 269, 1473, 25934, 543, 519, 2274, 770, 27100, 25867, 16200, 1473, 25934, 25828, 10606, 692, 2162, 476, 272, 269, 681, 769, 713, 543, 519, 1985, 3296, 649, 616, 2469, 547, 1353, 519, 3601, 540, 9696, 540, 1483, 2338, 780, 266, 320, 476, 272, 269, 681, 769, 713, 543, 519, 1985, 3296, 649, 616, 2469, 547, 1353, 519, 3601, 540, 9696, 540, 1483, 2338, 269, 9502, 476, 272, 269, 272, 269, 630, 306, 3225, 775, 264, 589, 5311, 568, 513, 1599, 609, 6389, 715, 269, 7151, 476, 272, 269, 273, 269, 589, 5311, 540, 1483, 692, 2162, 10829, 13294, 616, 1031, 547, 4766, 4632, 538, 6898, 269, 910, 634, 8471, 3067, 8595, 1797, 585, 782, 269, 910, 634, 16650, 3067, 8595, 1797, 972, 6818, 780, 1556, 10829, 13294, 616, 1031, 547, 4766, 4632, 538, 6898, 269, 910, 634, 8471, 3067, 8595, 1797, 585, 782, 269, 910, 634, 16650, 3067, 8595, 1797, 972, 6818, 269, 634, 2453 ]

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

[ 556, 3146, 548, 1078, 7466, 267, 1101, 607, 4132, 25141, 630, 335, 1601, 4601, 476, 4350, 280, 264, 543, 1586, 607, 19129, 29729, 654, 1161, 630, 3707, 276, 1040, 6321, 454, 763, 8943, 267, 2705, 267, 849, 562, 12089, 2318, 26007, 540, 21657, 18081, 543, 3906, 602, 31045, 621, 267, 3976, 9247, 9427, 1022, 26841, 540, 700, 2660, 6377, 29513, 1765, 27168, 610, 2942, 31539, 519, 5496, 269, 1879, 789, 1705, 2408, 538, 13416, 8874, 267, 700, 2660, 6377, 29513, 2968, 1945, 540, 513, 29905, 267, 811, 3622, 5219, 547, 676, 741, 13664, 5169, 982, 741, 3909, 4978, 269, 3933, 6945, 779, 7262, 634, 2494, 689, 18096, 630, 4350, 275, 264, 13423, 558, 1242, 713, 1007, 7154, 540, 8204, 26599, 976, 14557, 655, 5597, 269, 769, 621, 513, 1762, 3627, 31722, 4249, 3627, 4639, 517, 267, 513, 2786, 2000, 3166, 5869, 945, 568, 16111, 5219, 547, 676, 1010, 1533, 540, 5169, 267, 1498, 519, 4670, 2760, 19528, 713, 1533, 779, 8789, 4984, 269, 1261, 17990, 519, 1554, 267, 538, 851, 267, 1317, 540, 1010, 865, 321, 686, 1214, 267, 15151, 513, 4704, 547, 519, 5783, 779, 5051, 7986, 6478, 540, 27067, 269, 10801, 519, 4670, 267, 31722, 779, 20005, 1915, 568, 513, 2484, 3956, 689, 519, 30632, 597, 545, 28773, 540, 519, 3105, 8717, 269, 4033, 8874, 540, 519, 476, 4350, 271, 338, 941, 811, 610, 1447, 7648, 593, 713, 6249, 267, 609, 30963, 1143, 513, 1071, 3200, 2943, 2318, 3196, 269, 5240, 516, 1564, 543, 2951, 690, 1132, 3459, 547, 4183, 2318, 19528, 540, 519, 5783, 538, 519, 476, 4350, 271, 338, 267, 2523, 3823, 519, 1646, 540, 519, 5783, 779, 10304, 3646, 1282, 519, 12870, 563, 30999, 553, 1308, 24299, 12286, 5634, 3197, 945, 941, 16765, 569, 700, 2660, 6377, 29513, 267, 855, 811, 1419, 3552, 32422, 6933, 730, 827, 1761, 1804, 4336, 30963, 2389, 1335, 539, 24299, 609, 4408, 971, 607, 661, 269, 645, 269, 14216, 337, 267, 8751, 3223, 2940, 267, 6276, 14265, 2763, 267, 543, 1256, 595, 1815, 559, 645, 269, 1546, 300, 4068, 7923, 269, 7053, 267, 538, 476, 4350, 279, 606, 4830, 7262, 1572, 634, 30963, 1230, 26810, 6566, 328, 1229, 538, 20855, 629, 267, 18096, 267, 1498, 621, 10423, 569, 2760, 4951, 1586, 269, 23452, 2221, 267, 621, 3788, 835, 540, 519, 1390, 13655, 540, 519, 5822, 23027, 269, 769, 519, 1671, 5224, 1296, 540, 519, 5822, 23027, 267, 21035, 8874, 609, 30963, 5396, 22157, 547, 1476, 17218, 519, 5783, 609, 18096, 543, 547, 17192, 519, 782, 12677, 7907, 540, 713, 581, 548, 16331, 1229, 4984, 269, 26599, 976, 941, 1121, 1228, 883, 11347, 4892, 543, 741, 1686, 606, 1383, 540, 1977, 2418, 17636, 532, 538, 519, 4639, 269, 901, 5949, 1034, 6707, 609, 1079, 530, 525, 3179, 1765, 821, 513, 1390, 5010, 1967, 267, 519, 824, 513, 1390, 2565, 1967, 538, 1977, 4670, 1686, 563, 763, 11683, 17972, 281, 476, 3707, 271, 1700, 4198, 271, 454, 21413, 2243, 3828, 12351, 11416, 16737, 779, 5696, 662, 600, 8479, 630, 3707, 271, 264, 729, 519, 5207, 3491, 12803, 4670, 593, 30963, 1143, 2943, 269, 5783, 12206, 543, 8128, 267, 1519, 1261, 828, 808, 269, 16827, 5128, 267, 941, 3238, 14916, 538, 519, 1788, 269, 5696, 662, 600, 8479, 779, 4729, 5205, 519, 29513, 689, 741, 30201, 1903, 538, 715, 879, 341, 5622, 547, 519, 10661, 540, 4279, 17865, 8235, 4975, 269, 9282, 713, 20248, 27648, 519, 8783, 1650, 1467, 267, 513, 19018, 622, 2179, 540, 5496, 942, 729, 6170, 593, 513, 2648, 26035, 1063, 519, 30963, 1085, 719, 22189, 13573, 543, 513, 1875, 5336, 768, 517, 8004, 3957, 2098, 2088, 30197, 269, 1452, 11509, 5107, 941, 5129, 676, 570, 10455, 821, 5295, 543, 27692, 667, 7568, 749, 267, 711, 14626, 1211, 958, 519, 18638, 779, 1283, 6801, 693, 519, 942, 269, 5696, 662, 600, 8479, 729, 5129, 676, 519, 7164, 25760, 808, 16925, 267, 513, 3942, 17076, 1818, 1010, 4670, 26813, 269, 634, 4670, 729, 9859, 676, 8361, 670, 987, 12537, 855, 568, 3622, 2808, 513, 1587, 540, 16737, 779, 8783, 667, 776, 331, 2098, 534, 3089, 267, 945, 729, 865, 8149, 547, 621, 602, 621, 729, 835, 540, 519, 2063, 2462, 1532, 644, 1326, 8874, 1354, 519, 2112, 267, 609, 2504, 3790, 540, 1269, 272, 267, 25616, 267, 1822, 563, 28347, 16827, 5950, 513, 2295, 325, 3881, 3948, 540, 14696, 1310, 513, 4357, 9584, 267, 543, 519, 4670, 8118, 4864, 476, 2537, 267, 476, 3707, 271, 267, 607, 5018, 4505, 267, 609, 519, 4102, 6566, 328, 699, 538, 1977, 1686, 547, 602, 1448, 269, 9282, 519, 2112, 25848, 3293, 930, 4216, 5604, 1344, 267, 621, 5526, 602, 519, 4670, 14407, 539, 827, 1269, 275, 2929, 269, 2201, 519, 9456, 26026, 13635, 267, 519, 5705, 1856, 13571, 4536, 2006, 729, 3773, 547, 1524, 2452, 519, 3909, 2609, 267, 543, 621, 729, 9846, 9763, 607, 513, 1612, 762, 593, 2413, 17194, 811, 982, 513, 3954, 10586, 540, 13524, 10601, 4254, 7100, 269, 769, 519, 1671, 5224, 5756, 267, 930, 700, 2660, 6377, 29513, 723, 2097, 547, 7106, 17311, 540, 519, 4670, 779, 10565, 12689, 267, 855, 5696, 662, 600, 8479, 1590, 581, 2938, 538, 922, 3140, 2796, 269, 2991, 5756, 540, 14922, 532, 543, 8959, 3785, 543, 609, 519, 14980, 4550, 5336, 768, 517, 8874, 4195, 538, 1082, 8186, 267, 5696, 662, 600, 8479, 267, 1256, 609, 922, 14070, 2609, 267, 729, 513, 1857, 1894, 11802, 540, 519, 5207, 1931, 563, 763, 1152, 824, 13416, 14557, 26517, 26841, 540, 700, 2660, 6377, 29513, 602, 8717, 729, 631, 14875, 779, 476, 3707, 277, 7262, 14068, 5178, 18474, 269, 12096, 532, 1063, 513, 31449, 4605, 543, 513, 645, 1922, 559, 332, 267, 713, 2504, 12286, 28615, 2142, 2044, 607, 519, 5707, 983, 3983, 812, 945, 588, 3298, 2476, 538, 513, 30963, 530, 6782, 5721, 547, 9101, 513, 1064, 572, 269, 16828, 646, 568, 1917, 340, 6150, 676, 513, 1762, 30963, 29152, 5129, 676, 1126, 5182, 20152, 744, 685, 289, 31151, 267, 543, 646, 7140, 1996, 1010, 7649, 547, 4688, 519, 26599, 976, 269, 9282, 9247, 7164, 2221, 267, 14068, 5178, 18474, 556, 3530, 3305, 539, 519, 1007, 2318, 267, 952, 11705, 337, 3373, 22394, 267, 26841, 540, 700, 2660, 6377, 29513, 269, 9282, 4890, 4984, 15991, 4249, 883, 519, 4605, 693, 782, 267, 16213, 519, 2442, 744, 685, 289, 31151, 607, 519, 30963, 8004, 945, 17993, 936, 519, 3983, 323, 652, 7979, 1177, 538, 519, 2197, 1767, 1945, 8197, 827, 519, 1007, 1514, 2463, 1464, 700, 2660, 6377, 29513, 10150, 1310, 2622, 2782, 4083, 563, 2005, 568, 1447, 9670, 267, 1287, 267, 547, 1265, 26599, 976, 10023, 30326, 538, 835, 540, 519, 1034, 1480, 2065, 8874, 2479, 1500, 267, 3627, 16110, 779, 654, 6782, 9457, 630, 4198, 271, 1040, 4014, 922, 4336, 1223, 711, 3160, 602, 540, 5696, 662, 600, 8479, 267, 621, 19262, 547, 581, 15422, 607, 835, 540, 519, 6574, 540, 30963, 8874, 269, 2991, 519, 2112, 267, 16110, 779, 1007, 4830, 2754, 267, 14803, 657, 344, 24436, 267, 4646, 513, 4579, 609, 681, 298, 302, 547, 1711, 1614, 8874, 281, 634, 674, 1872, 1438, 630, 3707, 278, 264, 543, 2701, 654, 648, 513, 14117, 25906, 2548, 630, 3707, 280, 1070, 1312, 609, 3989, 1641, 2339, 267, 543, 513, 4670, 1572, 654, 6782, 9457, 593, 513, 2943, 5667, 29347, 1881, 1641, 269, 2755, 15246, 14117, 25906, 2548, 538, 3844, 18096, 267, 16110, 779, 5067, 18536, 267, 513, 5496, 23116, 267, 1558, 930, 700, 9169, 7504, 5443, 267, 799, 3366, 547, 519, 654, 6782, 9457, 1650, 1373, 2813, 1472, 519, 670, 1961, 538, 519, 9412, 16939, 602, 930, 540, 519, 7504, 5443, 779, 11937, 1185, 15548, 538, 269, 9282, 18536, 543, 1010, 10800, 31581, 267, 7671, 715, 1872, 550, 267, 1185, 547, 1382, 30963, 1143, 703, 13208, 267, 3627, 16110, 8604, 547, 1174, 519, 26599, 976, 15859, 1947, 269, 968, 4322, 616, 519, 1004, 594, 1616, 2223, 646, 1767, 269, 3571, 26841, 729, 4977, 269, 1635, 4334, 267, 519, 26599, 976, 685, 9642, 8830, 11939, 856, 22327, 941, 519, 8798, 540, 681, 298, 302, 8783, 20999, 24806, 267, 945, 4371, 519, 1625, 572, 12673, 269, 6872, 634, 1650, 267, 1305, 538, 519, 476, 6642, 271, 338, 267, 6645, 540, 513, 5045, 1189, 27995, 22082, 2754, 267, 741, 1875, 5336, 768, 517, 530, 6782, 18544, 267, 543, 519, 3765, 22327, 267, 856, 4751, 338, 267, 543, 7979, 9155, 789, 7237, 2059, 519, 1259, 269, 634, 2757, 14557, 26517, 31482, 1996, 519, 5783, 616, 6659, 543, 16207, 856, 5612, 267, 607, 519, 30963, 6205, 26744, 654, 580, 7714, 2829, 267, 968, 2171, 2461, 711, 513, 2462, 5428, 267, 5067, 269, 1284, 2461, 1175, 513, 19625, 540, 1004, 2366, 856, 547, 1665, 519, 13009, 543, 5965, 519, 2666, 585, 1346, 945, 786, 2097, 1310, 721, 2223, 3976, 1480, 1944, 519, 3003, 30963, 3786, 269, 901, 12799, 1226, 919, 873, 609, 519, 824, 15125, 16967, 6577, 2516, 789, 7237, 267, 1034, 16113, 519, 18937, 26953, 269, 1306, 835, 10404, 4767, 267, 968, 23536, 2406, 519, 1655, 17021, 540, 1496, 293, 867, 779, 316, 2686, 30424, 2501, 538, 654, 6782, 9457, 267, 950, 519, 26599, 976, 543, 519, 7111, 4892, 1142, 13720, 543, 20496, 519, 12357, 824, 267, 1327, 6362, 7916, 543, 4963, 743, 532, 513, 31300, 1359, 3786, 13933, 538, 513, 18937, 26953, 7544, 1848, 6812, 589, 1507, 4670, 676, 16110, 779, 4441, 267, 654, 6782, 9457, 729, 8929, 538, 3735, 476, 3707, 280, 543, 6566, 328, 1229, 2904, 476, 277, 267, 476, 4198, 271, 269, 6736, 15028, 8039, 267, 621, 1558, 1152, 16434, 4216, 5604, 1967, 538, 3013, 267, 607, 16110, 4397, 269, 898, 729, 3533, 26916, 538, 2342, 267, 2705, 267, 543, 814, 2094, 1831, 9833, 607, 835, 540, 16110, 779, 6574, 267, 952, 10545, 267, 8874, 269, 10738, 30963, 1143, 267, 654, 6782, 9457, 3788, 513, 7361, 3768, 4593, 2642, 14776, 563, 1103, 4334, 547, 519, 1967, 540, 8874, 899, 5696, 662, 600, 8479, 543, 654, 6782, 9457, 267, 4130, 8397, 24299, 3274, 1223, 711, 1205, 1055, 519, 2666, 269, 901, 729, 3020, 711, 1152, 585, 4830, 8874, 1500, 676, 519, 700, 2660, 6377, 29513, 2933, 855, 849, 585, 11977, 5685, 2284, 267, 513, 25982, 21035, 16073, 945, 729, 711, 700, 9169, 269, 769, 519, 5614, 540, 476, 4198, 271, 267, 646, 9307, 513, 3670, 3146, 601, 17245, 827, 513, 556, 523, 716, 618, 540, 519, 30963, 15506, 30119, 676, 519, 25860, 540, 18096, 27505, 619, 269, 595, 6817, 3274, 634, 30963, 15506, 30119, 267, 713, 4670, 729, 1500, 689, 1010, 2123, 18083, 543, 13269, 519, 968, 339, 549, 3591, 892, 15292, 532, 543, 14120, 538, 5842, 17630, 267, 11968, 13353, 267, 543, 5842, 24527, 3626, 267, 609, 18531, 676, 2229, 543, 5783, 3401, 267, 1519, 5518, 6723, 15751, 8055, 267, 945, 1131, 5884, 1447, 982, 513, 1032, 2663, 269, 5685, 2284, 5795, 513, 1906, 1397, 902, 543, 17191, 3573, 1719, 689, 519, 30963, 2950, 538, 18096, 543, 4993, 267, 855, 5103, 5783, 7589, 5685, 2284, 4166, 5433, 967, 29924, 689, 30963, 543, 1875, 5336, 768, 517, 13588, 7567, 1765, 331, 831, 8989, 602, 5783, 2818, 1705, 711, 1256, 7390, 1010, 32182, 269, 1261, 3976, 4956, 547, 13358, 1100, 2417, 4674, 855, 1185, 519, 1095, 7220, 547, 5402, 4558, 519, 1820, 543, 2663, 24946, 513, 5299, 547, 519, 5783, 269, 5685, 2284, 779, 4674, 568, 29810, 607, 606, 3801, 3544, 540, 519, 12250, 5783, 11652, 1256, 30963, 2528, 23121, 1711, 606, 12707, 339, 550, 1190, 1148, 16388, 531, 4670, 1369, 513, 6469, 267, 952, 740, 554, 665, 267, 3892, 1062, 563, 4322, 2318, 21035, 30963, 8874, 2303, 602, 30963, 1143, 267, 676, 1259, 540, 2442, 21576, 267, 729, 7930, 4098, 547, 581, 30042, 883, 13416, 2528, 1765, 520, 2547, 1369, 2442, 13299, 540, 519, 1977, 4639, 563, 300, 768, 976, 543, 519, 6301, 6894, 12752, 454, 4263, 5851, 538, 519, 12752, 454, 7628, 519, 1079, 5756, 540, 519, 5822, 23027, 267, 1082, 700, 2660, 6377, 29513, 849, 1500, 2933, 693, 1753, 538, 519, 4670, 543, 9913, 2872, 269, 634, 5783, 729, 3677, 538, 7013, 4993, 982, 538, 1022, 824, 1858, 3544, 519, 30963, 2295, 1633, 269, 6795, 3509, 5783, 2818, 5249, 538, 519, 9913, 2872, 267, 543, 930, 630, 3697, 22911, 29992, 18724, 6033, 264, 1131, 5555, 1831, 2101, 5171, 538, 5783, 5829, 4670, 14708, 3646, 269, 2368, 4797, 547, 2328, 543, 1463, 267, 855, 1866, 3459, 547, 2744, 23146, 538, 14758, 1634, 2127 ]

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

[ 4152, 1770, 267, 1287, 2199, 11275, 1436, 666, 581, 2944, 269, 2290, 1505, 540, 971, 2199, 11275, 1436, 568, 676, 946, 540, 605, 1091, 269, 1452, 616, 2356, 7601, 9708, 593, 519, 7475, 540, 519, 26423, 689, 519, 6419, 9325, 3684, 563, 11514, 11666, 340, 885, 6252, 547, 519, 1899, 1063, 519, 605, 1091, 616, 1500, 7298, 676, 519, 6419, 5536, 269, 901, 814, 1279, 1044, 513, 3730, 4480, 538, 12463, 296, 269, 898, 568, 11593, 15409, 543, 4061, 10375, 585, 2361, 946, 269, 634, 8417, 547, 7449, 16577, 12889, 568, 3152, 609, 713, 1505, 982, 1022, 824, 2523, 950, 1210, 3368, 5951, 6439, 1881, 1699, 269, 0, 12892, 15154, 281, 10435, 14272, 18875, 12655, 538, 513, 2622, 540, 16258, 22960, 454, 2421, 1530, 534, 8845, 20606, 476, 2537, 267, 476, 1001, 280, 454, 4002, 3328, 267, 519, 4070, 540, 513, 21489, 3340, 827, 8938, 2694, 269, 25092, 1346, 8938, 2694, 676, 519, 6634, 540, 10887, 602, 1004, 5957, 1169, 1032, 267, 7132, 1142, 21489, 4216, 543, 11288, 6003, 267, 543, 602, 779, 513, 2603, 540, 1761, 21489, 2504, 3653, 563, 14188, 2685, 267, 1082, 21489, 3549, 616, 5368, 28124, 741, 1184, 547, 1831, 811, 4264, 563, 3383, 267, 875, 666, 21489, 3549, 2569, 741, 3327, 11640, 888, 2080, 616, 930, 2188, 602, 666, 948, 519, 2104, 540, 4264, 31321, 912, 8794, 2200, 602, 666, 581, 32419, 543, 30465, 267, 547, 7413, 3653, 454, 17637, 532, 1732, 7779, 10887, 547, 1118, 873, 2063, 3476, 454, 8794, 811, 10357, 7888, 1648, 2959, 454, 27662, 532, 2326, 538, 1931, 547, 2057, 6757, 24470, 543, 6464, 602, 3542, 1393, 938, 4872, 543, 1216, 2959, 454, 21982, 5413, 540, 2199, 2326, 543, 2199, 9755, 547, 7413, 2910, 8975, 480, 1764, 454, 25363, 13586, 11413, 543, 12477, 1063, 9755, 543, 14273, 538, 1931, 547, 11694, 4398, 543, 2504, 1646, 267, 1247, 849, 22867, 547, 1818, 513, 1514, 1764, 454, 8794, 10357, 7888, 11183, 950, 621, 2501, 547, 24317, 543, 26084, 2326, 454, 10048, 3011, 1005, 2853, 3565, 8185, 547, 519, 4264, 31321, 2872, 269, 3690, 10337, 543, 1327, 1275, 540, 31321, 2504, 1711, 1447, 3653, 543, 811, 4398, 563, 14738, 1631, 267, 2094, 1082, 5663, 3549, 616, 711, 2199, 267, 11288, 18535, 689, 18246, 616, 2870, 513, 9651, 585, 519, 1604, 269, 1280, 1383, 267, 1835, 919, 9991, 936, 4580, 538, 519, 5836, 3542, 5024, 25825, 543, 19426, 547, 543, 689, 12051, 11564, 616, 7700, 547, 5533, 540, 2910, 273, 540, 28296, 269, 19007, 12725, 711, 1152, 2640, 811, 11413, 543, 4398, 1063, 519, 12051, 543, 519, 31321, 3549, 267, 855, 849, 8309, 547, 513, 811, 10357, 7888, 1158, 267, 18867, 4227, 3327, 29066, 543, 2502, 4443, 2792, 1063, 15524, 655, 5474, 543, 31321, 21625, 563, 2080, 693, 2910, 300, 7419, 14510, 18478, 267, 938, 31321, 568, 14475, 12725, 538, 11968, 13353, 543, 6131, 547, 14957, 513, 1732, 1158, 538, 799, 3608, 11413, 6818, 1063, 721, 543, 938, 9755, 269, 1284, 3494, 19620, 15327, 547, 519, 772, 2529, 269, 786, 20427, 2569, 2518, 6928, 906, 602, 3132, 2527, 1648, 543, 3586, 18246, 12599, 1107, 547, 543, 689, 15327, 1107, 1247, 849, 8716, 12725, 13402, 2326, 267, 950, 621, 2501, 547, 31321, 563, 2252, 596, 1616, 547, 1374, 707, 1378, 21489, 267, 596, 991, 547, 1451, 21489, 1374, 269, 15439, 2322, 267, 21489, 1374, 3322, 8888, 7678, 344, 543, 3860, 10887, 602, 9029, 547, 519, 2344, 269, 1306, 513, 21489, 14704, 267, 596, 723, 547, 1020, 519, 1374, 267, 6430, 799, 1570, 547, 946, 267, 1491, 851, 538, 519, 21489, 5663, 1184, 267, 543, 865, 1454, 811, 563, 2252, 596, 723, 1044, 538, 519, 2344, 585, 10887, 267, 596, 4076, 4440, 8068, 602, 711, 782, 10887, 616, 2813, 8449, 269, 2368, 616, 1175, 10887, 267, 1247, 1866, 616, 17195, 10887, 609, 15851, 2511, 267, 966, 756, 1090, 1151, 525, 267, 610, 602, 1796, 519, 1449, 540, 942, 269, 901, 4440, 3893, 596, 3206, 827, 519, 3017, 269, 769, 713, 2376, 267, 649, 3580, 2626, 602, 543, 1287, 4685, 4514, 2483, 763, 31321, 2872, 568, 2141, 14762, 538, 519, 2136, 2276, 543, 3564, 267, 7064, 547, 519, 2760, 268, 2056, 3747, 269, 1715, 4066, 543, 6272, 10836, 1169, 1906, 3275, 267, 609, 9755, 3843, 547, 6427, 31042, 6272, 602, 616, 6899, 543, 13267, 585, 519, 2483, 2171, 1616, 547, 948, 1118, 2386, 602, 707, 1007, 10887, 723, 519, 1655, 3514, 2009, 563, 2171, 723, 2813, 513, 5094, 3514, 585, 2367, 543, 2021, 547, 1683, 519, 10700, 3723, 554, 19982, 4313, 269, 3776, 1124, 330, 4802, 518, 543, 5580, 2326, 786, 6923, 9044, 547, 707, 3723, 543, 12701, 856, 1310, 513, 2110, 1974, 540, 942, 267, 865, 798, 1450, 585, 713, 950, 3843, 938, 10887, 593, 7620, 563, 1103, 2489, 267, 938, 10887, 616, 4881, 6251, 547, 606, 4948, 21489, 3514, 5288, 269, 606, 18942, 21489, 3514, 543, 666, 581, 12816, 609, 610, 1510, 26852, 910, 855, 519, 26852, 723, 547, 581, 3750, 20414, 585, 1655, 2164, 563, 12179, 1083, 1734, 689, 713, 5750, 786, 581, 7074, 593, 1142, 1367, 1587, 2985, 269, 0, 7197, 2043, 2015, 2921, 2852, 1377, 6030, 547, 581, 513, 1713, 2339, 543, 513, 2165, 1957, 1131, 1175, 1413, 899, 513, 3653, 540, 942, 269, 4270, 267, 538, 1249, 267, 2262, 4574, 616, 3274, 476, 272, 6712, 540, 519, 2898, 1362, 4452, 269, 589, 2262, 1957, 267, 513, 2165, 1557, 267, 568, 1152, 606, 1383, 540, 1018, 513, 20194, 1522, 991, 547, 798, 585, 519, 1964, 540, 1010, 17017, 4081, 4876, 269, 1656, 267, 538, 2013, 513, 20194, 1281, 711, 2322, 538, 2614, 4674, 267, 1287, 646, 1522, 711, 4309, 519, 9344, 789, 991, 585, 22692, 563, 288, 2165, 1957, 568, 9247, 513, 1867, 7768, 676, 1053, 593, 513, 1808, 4081, 2165, 267, 8204, 513, 1713, 6712, 540, 741, 3803, 1377, 269, 28732, 11225, 621, 607, 513, 1713, 2854, 7084, 538, 513, 2852, 610, 6280, 1362, 602, 568, 11347, 540, 707, 4081, 22920, 1282, 713, 2165, 269, 1677, 2322, 621, 8335, 267, 621, 779, 519, 851, 540, 707, 17440, 602, 16976, 519, 8167, 540, 5491, 596, 1205, 269, 898, 779, 849, 519, 6712, 540, 519, 17440, 799, 1034, 1004, 616, 12707, 335, 1563, 1317, 789, 3668, 519, 1702, 547, 2328, 621, 7157, 267, 610, 3116, 789, 3494, 602, 621, 568, 1932, 9157, 547, 798, 269, 2334, 267, 18562, 267, 3884, 1406, 3020, 607, 621, 666, 11593, 581, 6913, 267, 543, 513, 2875, 568, 1134, 15695, 547, 4983, 513, 1295, 636, 636, 540, 835, 2165, 1957, 1317, 540, 1557, 5856, 741, 4110, 563, 2467, 616, 1082, 3309, 2010, 540, 2262, 4574, 267, 1519, 1382, 4574, 543, 1557, 4574, 269, 1809, 972, 616, 513, 1297, 540, 3652, 602, 723, 547, 581, 4553, 950, 21882, 835, 269, 1677, 2253, 609, 267, 607, 609, 1022, 1106, 540, 1603, 267, 621, 11129, 547, 581, 1134, 11231, 267, 543, 1169, 25246, 1058, 581, 20039, 585, 269, 769, 4641, 267, 596, 991, 513, 1390, 2856, 827, 1018, 547, 2328, 827, 267, 543, 602, 972, 3884, 1406, 1022, 4055, 585, 31495, 13133, 566, 269, 1411, 1590, 849, 723, 513, 2312, 2759, 2856, 540, 1175, 875, 1454, 1239, 568, 2838, 585, 519, 1957, 267, 543, 875, 1454, 568, 2838, 269, 1924, 607, 547, 581, 1978, 707, 2165, 4574, 616, 23182, 8737, 267, 596, 1058, 7941, 519, 960, 883, 2694, 543, 2327, 596, 2347, 1169, 835, 540, 873, 1354, 4098, 609, 519, 1985, 835, 563, 2691, 621, 2501, 547, 1603, 2165, 4574, 267, 621, 568, 1898, 602, 596, 3251, 10704, 593, 519, 1641, 269, 3503, 593, 1945, 1644, 547, 519, 1888, 2864, 982, 1945, 21016, 2425, 1113, 269, 5269, 2386, 602, 519, 1641, 568, 711, 2352, 547, 1174, 269, 901, 568, 547, 1118, 2386, 596, 616, 2111, 547, 9787, 1018, 519, 1888, 568, 827, 267, 543, 849, 2057, 27830, 707, 942, 12394, 547, 4983, 621, 998, 607, 596, 616, 711, 4974, 621, 563, 2026, 596, 3580, 1294, 267, 513, 2603, 540, 2367, 543, 2021, 2285, 909, 593, 1603, 2165, 4574, 1354, 789, 9096, 873, 269, 1358, 3494, 602, 1317, 621, 568, 2469, 547, 1491, 513, 1434, 4308, 540, 942, 547, 2328, 519, 1957, 267, 621, 568, 711, 4502, 519, 3801, 269, 1717, 267, 519, 2339, 568, 267, 789, 616, 20916, 547, 26777, 519, 2241, 1249, 602, 513, 21354, 2854, 4845, 1957, 786, 2285, 873, 513, 2539, 3446, 982, 1018, 789, 18783, 563, 2691, 596, 4076, 6192, 707, 2852, 7400, 5049, 267, 1118, 2386, 596, 786, 3314, 602, 3478, 513, 1732, 1377, 786, 2154, 960, 267, 2705, 267, 519, 2640, 585, 11264, 971, 10467, 616, 4502, 519, 4674, 269, 634, 942, 543, 4674, 602, 596, 2322, 883, 11264, 2165, 4574, 616, 4502, 621, 1317, 596, 786, 28231, 519, 2640, 950, 621, 2501, 547, 513, 2362, 512, 1512, 689, 707, 4081, 4170, 269, 0, 2304, 7650, 540, 519, 1416, 4058, 1184, 267, 1519, 519, 3483, 540, 513, 1416, 1544, 267, 519, 834, 534, 10532, 257, 540, 513, 1416, 1544, 543, 875, 519, 8808, 1184, 12211, 547, 519, 1416, 1544, 1184, 269, 9181, 525, 1312, 631, 9169, 543, 744, 12118, 1416, 4566, 543, 2488, 4388, 585, 875, 15637, 666, 3565, 547, 519, 1416, 4058, 1184, 563, 28097, 519, 3483, 540, 513, 1416, 1544, 563, 27855, 1614, 1292, 2694, 540, 519, 1416, 1544, 543, 1018, 1344, 568, 3769, 538, 1142, 851, 563, 23737, 875, 519, 8808, 1184, 12211, 547, 519, 1416, 1544, 1184, 563, 28097, 519, 2956, 540, 9488, 543, 4977, 12319, 540, 1416, 1544, 7459, 563, 27855, 519, 2956, 540, 8343, 547, 519, 1416, 1544, 1184, 563, 17345, 20099, 281, 476, 272, 5662, 4433, 994, 29423, 1466, 281, 5851, 2657, 589, 728, 282, 9869, 823, 589, 728, 282, 29237, 19608, 910, 595, 2793, 282, 9608, 5516, 589, 728, 454, 4753, 15894, 281, 476, 272, 5662, 4433, 994, 4753, 10088, 1998, 15048, 281, 769, 519, 5700, 568, 606, 9516, 8502, 540, 2228, 595, 2793, 11173, 2069, 538, 476, 5392, 2829, 269, 630, 2750, 4003, 281, 634, 1533, 540, 26609, 2488, 1863, 11173, 2069, 547, 782, 26609, 595, 18456, 8094, 11514, 743, 17007, 281, 634, 4589, 267, 24990, 543, 2689, 619, 540, 713, 3872, 2534, 17551, 1100, 7526, 540, 1719, 609, 713, 2534, 269, 1703, 616, 1100, 5010, 4690, 610, 13384, 832, 4721, 1644, 547, 713, 3872, 2534, 269, 0, 1607, 3992, 2488, 15637, 609, 513, 6609, 540, 5135, 3797, 543, 799, 7218, 949, 991, 621, 269, 5516, 326, 1392, 786, 2689, 519, 1034, 1455, 2010, 540, 5135, 11149, 543, 2409, 540, 7245, 269, 1358, 786, 849, 1451, 1018, 2306, 5135, 5906, 543, 875, 547, 7747, 7218, 945, 616, 593, 5135, 3797, 269, 22291, 19421, 540, 5135, 3106, 4388, 543, 4313, 3800, 563, 27855, 1946, 519, 1480, 1560, 2115, 5135, 547, 2661, 563, 8266, 693, 2547, 1079, 2010, 540, 5135, 6765, 1949, 563, 23737, 1018, 2306, 5135, 513, 5906, 3595, 9651, 563, 8266, 693, 2547, 1614, 9402, 7422, 602, 949, 5815, 513, 7817, 814, 1932, 2370, 5135, 610, 949, 581, 7680, 5135, 17219, 563, 20779, 2970, 622, 1697, 3106, 15416, 543, 1683, 11215, 4313, 3800, 538, 707, 3232, 960, 609, 7218, 593, 5135, 3797, 563, 17345, 20099, 281, 476, 272, 5662, 4433, 994, 29423, 1466, 281, 5851, 2657, 589, 728, 282, 9869, 823, 589, 728, 282, 29237, 19608, 910, 595, 2793, 282, 9608, 5516, 589, 728, 454, 4753, 15894, 281, 476, 272, 5662, 4433, 994, 4753, 10088, 1998, 15048, 281, 769, 519, 5700, 568, 606, 9516, 8502, 540, 2228, 595, 2793, 11173, 2069, 538, 476, 5392, 2829, 269, 630, 2750, 4003, 281, 634, 1533, 540, 26609, 2488, 1863, 11173, 2069, 547, 782, 26609, 595, 18456, 8094, 11514, 743, 17007, 281, 634, 4589, 267, 24990, 543, 2689, 619, 540, 713, 3872, 2534, 17551, 1100, 7526, 540, 1719, 609, 713, 2534, 269, 1703, 616, 1100, 5010, 4690, 610, 13384, 832, 4721, 1644, 547, 713, 3872, 2534, 269, 0, 2108, 16240, 543, 26121, 707, 1101, 3131, 331, 5358, 563, 2467, 616, 513, 1906, 1919, 596, 991, 547, 917, 827, 3131, 331, 1354, 649, 1376, 454, 32491, 2719, 4376, 3730, 269, 3689, 540, 782, 267, 596, 991, 547, 917, 602, 454, 26421, 3131, 331, 1982, 596, 2328, 6238, 609, 513, 1899, 602, 5654, 1945, 454, 22154, 10416, 6645, 519, 2780, 602, 713, 568, 513, 3131, 331, 1982, 563, 6546, 1899, 2798, 519, 1982, 547, 519, 3131, 331, 3705, 614, 267, 519, 1982, 454, 7474, 2306, 707, 3131, 331, 1982, 883, 513, 1982, 602, 666, 581, 13401, 563, 3383, 782, 596, 991 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 279, 281, 1015, 281, 6321, 6751, 21180, 540, 544, 11721, 538, 519, 1034, 1455, 1031, 256, 31283, 1454, 1447, 982, 15234, 1611, 713, 14645, 5606, 16206, 618, 18564, 5650, 2262, 596, 1616, 1775, 1862, 21964, 519, 476, 1015, 9704, 689, 476, 271, 547, 476, 280, 476, 1232, 15234, 1797, 267, 256, 13201, 6700, 544, 1223, 1796, 585, 476, 29870, 540, 9386, 269, 568, 1641, 1775, 8469, 1460, 256, 3590, 544, 1374, 919, 519, 18772, 803, 8615, 268, 799, 568, 513, 1259, 547, 4766, 8390, 538, 513, 1305, 256, 21909, 539, 544, 1223, 1796, 585, 476, 29870, 540, 9386, 269, 5432, 602, 713, 3090, 1797, 1454, 1447, 982, 1315, 323, 2807, 267, 789, 616, 13288, 547, 519, 12166, 1611, 543, 22051, 25939, 1018, 3490, 789, 1611, 1259, 547, 4766, 538, 256, 2974, 1205, 513, 2631, 540, 875, 476, 3262, 856, 15234, 519, 2418, 538, 513, 1239, 1305, 2929, 256, 16393, 1796, 585, 476, 29870, 540, 9386, 269, 1063, 1346, 540, 519, 5246, 836, 1564, 267, 1455, 543, 256, 3331, 478, 561, 262, 611, 915, 604, 609, 552, 3052, 8847, 4199, 593, 519, 1357, 910, 274, 3738, 568, 476, 272, 8276, 317, 274, 799, 1797, 2040, 13505, 1862, 634, 11344, 5223, 814, 6700, 544, 1223, 1796, 585, 476, 29870, 540, 9386, 269, 543, 256, 1306, 835, 1412, 338, 3483, 610, 9837, 281, 1775, 5921, 547, 5360, 2939, 596, 593, 707, 960, 11783, 476, 274, 1341, 476, 278, 1341, 476, 280, 815, 476, 1240, 7941, 676, 875, 1082, 2338, 972, 616, 2560, 1281, 621, 24453, 1862, 13507, 568, 513, 6824, 1985, 547, 621, 267, 950, 2854, 3697, 713, 621, 1797, 538, 2257, 606, 256, 634, 1739, 1862, 6423, 2407, 2626, 2630, 8658, 267, 2705, 267, 538, 7194, 267, 519, 1034, 3102, 8675, 4199, 256, 1341, 476, 278, 1341, 476, 280, 815, 476, 1240, 7941, 676, 875, 1082, 2338, 630, 1775, 4318, 281, 1428, 267, 476, 277, 267, 476, 273, 267, 543, 1862, 2422, 12897, 547, 2327, 602, 649, 1034, 1419, 946, 3490, 476, 1015, 1317, 649, 723, 476, 1015, 11263, 476, 278, 543, 27085, 27539, 602, 596, 917, 1018, 3490, 789, 1611, 27608, 1373, 1496, 2979, 9948, 1422, 18406, 1496, 1315, 4118, 9948, 12676, 270, 630, 3597, 1862, 11146, 519, 1268, 602, 1705, 621, 726, 338, 4063, 1775, 993, 513, 1166, 2089, 523, 1434, 2634, 27342, 16535, 585, 540, 256, 6399, 630, 12980, 3328, 630, 1611, 3738, 9811, 267, 782, 519, 2338, 281, 476, 273, 476, 278, 1862, 4569, 666, 581, 2352, 585, 1346, 540, 519, 4703, 543, 546, 568, 519, 11783, 476, 1015, 476, 1822, 4699, 273, 538, 835, 544, 273, 3177, 676, 1775, 8469, 1460, 543, 568, 711, 7998, 10391, 693, 782, 1174, 875, 547, 1106, 3830, 256, 590, 10342, 631, 269, 519, 4936, 1003, 1968, 544, 568, 519, 3328, 540, 519, 2262, 3693, 538, 2979, 519, 676, 269, 1677, 267, 513, 2146, 6902, 10658, 14794, 6902, 1234, 24650, 6902, 13555, 2974, 6902, 593, 256, 9509, 2626, 2630, 2979, 2059, 609, 1383, 721, 1137, 538, 2262, 10819, 3490, 2221, 256, 634, 3665, 2818, 540, 930, 1305, 1341, 476, 280, 815, 476, 1240, 7941, 676, 875, 1082, 2338, 630, 1775, 4318, 1797, 23511, 31283, 519, 2338, 267, 3040, 1287, 7941, 676, 875, 1082, 2338, 630, 1775, 4318, 6515, 269, 5681, 676, 2705, 1082, 2338, 596, 3773, 519, 1535, 781, 543, 519, 7154, 267, 1018, 1281, 544, 1611, 538, 2979, 3096, 519, 476, 1015, 9704, 689, 547, 269, 2659, 2338, 1927, 3090, 1797, 1454, 1447, 982, 610, 1018, 544, 6763, 585, 513, 8536, 5999, 609, 623, 2727, 517, 1018, 256, 12054, 815, 12676, 270, 630, 4009, 3597, 540, 3732, 2450, 3738, 3328, 540, 519, 543, 1862, 1772, 5941, 519, 946, 540, 519, 3665, 2818, 540, 930, 1305, 610, 476, 271, 269, 9826, 15432, 7154, 1862, 15020, 4749, 2338, 596, 3773, 513, 5506, 3892, 568, 519, 3845, 1063, 741, 7740, 540, 8904, 1246, 713, 14645, 18564, 269, 4746, 1634, 607, 519, 4397, 1871, 540, 630, 20922, 630, 3738, 3738, 621, 1281, 711, 1118, 2631, 5372, 1862, 1411, 666, 3398, 610, 7947, 12897, 593, 938, 3896, 11313, 521, 10342, 621, 568, 1031, 3490, 1031, 2221, 519, 269, 1412, 568, 1031, 538, 6310, 7215, 543, 4834, 649, 723, 476, 1015, 11263, 593, 568, 799, 540, 1862, 7435, 544, 1374, 919, 1984, 328, 268, 610, 835, 8536, 628, 865, 6515, 568, 513, 1259, 4766, 1862, 31418, 1176, 1174, 2979, 29395, 609, 1187, 2979, 4976, 2228, 693, 590, 680, 1662, 9596, 12945, 1862, 780, 22102, 6355, 10753, 753, 10430, 267, 10878, 807, 11354, 11846, 476, 1708, 272, 267, 631, 1794, 6767, 476, 274, 476, 1001, 277, 10410, 338, 17111, 267, 476, 273, 717, 592, 629, 11918, 684, 2836, 1559, 267, 21007, 22748, 614, 1520, 2381, 10426, 5320, 267, 645, 1601, 769, 1306, 331, 267, 645, 1601, 769, 1306, 331, 267, 4521, 337, 8657, 8065, 17372, 267, 0, 258, 14301, 513, 3113, 692, 1892, 9947, 476, 1691, 628, 476, 1001, 274, 267, 476, 6187, 281, 1015, 7537, 454, 330, 770, 17868, 340, 454, 19352, 532, 513, 3113, 454, 1692, 666, 594, 2721, 519, 3113, 540, 1923, 15383, 347, 10922, 271, 454, 1892, 9947, 476, 1691, 628, 476, 1001, 274, 267, 476, 6187, 281, 1626, 7537, 454, 5522, 6737, 454, 3725, 281, 14301, 513, 3113, 454, 32621, 1384, 23192, 17397, 676, 737, 770, 17868, 340, 454, 1692, 666, 594, 2721, 519, 3113, 540, 1923, 15383, 347, 10922, 271, 692, 1103, 1931, 585, 1269, 347, 15383, 24689, 548, 476, 271, 259, 621, 568, 2556, 585, 1269, 15383, 284, 271, 16859, 11997, 267, 1269, 343, 284, 271, 20728, 346, 610, 7684, 344, 284, 271, 259, 563, 1892, 9947, 476, 1691, 628, 476, 1001, 274, 267, 476, 5881, 281, 5379, 7537, 454, 295, 718, 810, 325, 296, 11803, 454, 3725, 281, 14301, 513, 3113, 454, 3383, 519, 3113, 568, 1079, 12969, 532, 2786, 3515, 563, 1892, 9947, 476, 1691, 628, 476, 1001, 274, 267, 476, 6021, 281, 2767, 6751, 454, 300, 2562, 302, 3198, 32602, 454, 3725, 281, 14301, 513, 3113, 454, 2467, 568, 1100, 1259, 547, 3113, 713, 269, 898, 568, 4636, 269, 634, 1923, 27976, 347, 568, 3436, 815, 271, 585, 1169, 1535, 11971, 543, 711, 2999, 271, 454, 1892, 9947, 476, 1428, 628, 476, 1001, 274, 267, 476, 6734, 281, 4375, 7537, 454, 5522, 6737, 454, 3725, 281, 14301, 513, 3113, 454, 32621, 1384, 23192, 17397, 676, 32745, 302, 3198, 32602, 454, 2467, 568, 1100, 1259, 547, 3113, 713, 269, 898, 568, 4636, 780, 3963, 538, 519, 1158, 1131, 596, 2022, 602, 2496, 7445, 18950, 343, 11971, 264, 2433, 1535, 815, 476, 271, 1422, 557, 324, 586, 815, 476, 271, 315, 4151, 568, 519, 3113, 538, 4399, 13992, 23334, 11892, 273, 14204, 1607, 568, 519, 9769, 540, 519, 1269, 343, 20728, 24877, 9471, 348, 349, 315, 261, 349, 344, 20728, 24877, 9471, 348, 349, 269, 6911, 7445, 18950, 343, 11971, 267, 345, 264, 2433, 1535, 815, 476, 271, 1422, 557, 324, 586, 815, 476, 271, 315, 4151, 568, 519, 3113, 538, 4399, 13992, 23334, 11892, 274, 14204, 1607, 568, 519, 9769, 540, 519, 1269, 343, 345, 20728, 24877, 30350, 348, 349, 315, 261, 349, 344, 345, 20728, 24877, 30350, 348, 349, 269, 6911, 2467, 941, 1079, 2953, 30491, 11540, 269, 3657, 596, 6031, 602, 1312, 4515, 8065, 338, 543, 594, 616, 19451, 888, 1892, 9947, 476, 1428, 628, 476, 1001, 274, 267, 476, 6187, 281, 866, 7537, 454, 300, 2562, 302, 3198, 32602, 454, 3725, 281, 14301, 513, 3113, 454, 1492, 1923, 343, 347, 568, 2760, 2942, 607, 2241, 607, 971, 5541, 907, 1492, 1964, 568, 1025, 629, 5055, 454, 1892, 9947, 476, 1428, 628, 476, 1001, 274, 267, 476, 6187, 281, 2764, 7537, 454, 5522, 6737, 454, 3725, 281, 14301, 513, 3113, 454, 32621, 1384, 23192, 17397, 676, 32745, 302, 3198, 32602, 454, 1492, 1923, 343, 347, 568, 2760, 2942, 607, 2241, 607, 971, 5541, 907, 1492, 1964, 568, 1025, 629, 5055, 692, 2710, 596, 1256, 519, 4214, 540, 513, 3113, 888, 1892, 9947, 476, 1428, 628, 476, 1001, 274, 267, 476, 5881, 281, 3953, 7537, 454, 295, 718, 810, 325, 296, 11803, 454, 3725, 281, 14301, 513, 3113, 454, 32621, 1384, 23192, 17397, 676, 32745, 302, 3198, 32602, 454, 1492, 1923, 343, 347, 568, 2760, 2942, 607, 2241, 607, 971, 5541, 907, 1492, 1964, 568, 1025, 629, 5055, 692, 2791, 616, 519, 835, 945, 568, 834, 4565, 629, 5055, 257, 532, 269, 1411, 3100, 547, 723, 3765, 1348, 519, 2243, 269, 634, 3312, 2243, 729, 827, 24275, 1269, 347, 15383, 24689, 548, 476, 271, 8961, 519, 1305, 540, 2798, 630, 343, 267, 586, 264, 971, 602, 27976, 568, 2901, 2942, 610, 4642, 269, 8786, 267, 1923, 15383, 347, 568, 2760, 2942, 855, 621, 568, 476, 271, 269, 634, 3113, 568, 519, 1079, 17887, 268, 519, 1535, 268, 7852, 593, 799, 586, 284, 476, 271, 865, 1923, 15383, 347, 284, 1923, 343, 263, 271, 31206, 284, 476, 271, 543, 519, 586, 14289, 593, 799, 1535, 284, 476, 271, 865, 1923, 15383, 347, 284, 1923, 263, 271, 264, 344, 347, 284, 476, 271, 563, 1892, 9947, 476, 1428, 628, 476, 1001, 274, 267, 476, 1015, 281, 5400, 7537, 454, 300, 2562, 302, 3198, 32602, 454, 3725, 281, 14301, 513, 3113, 454, 8133, 267, 1923, 15383, 347, 568, 2760, 2942, 855, 621, 568, 476, 271, 2807, 1862, 6518, 10522, 1535, 284, 271, 543, 586, 284, 271, 9982, 907, 296, 3858, 907, 2483, 4777, 711, 946, 519, 2999, 476, 271, 621, 568, 4636, 18927, 5541, 32465, 10371, 19601, 663, 581, 811, 30251, 27401, 12898, 782, 649, 1175, 5385, 1934, 5784, 543, 2093, 2807, 663, 952, 649, 10990, 538, 930, 2152, 713, 568, 1175, 1776, 4082, 540, 519, 32469, 540, 9119, 2483, 1892, 9947, 476, 1428, 628, 476, 1001, 274, 267, 476, 1015, 281, 1839, 7537, 454, 5522, 6737, 454, 3725, 281, 14301, 513, 3113, 454, 32621, 1384, 23192, 17397, 676, 32745, 302, 3198, 32602, 454, 4777, 711, 946, 519, 2999, 476, 271, 621, 568, 4636, 13718, 26139, 267, 1946, 1131, 1022, 28879, 2148, 622, 1268, 2328, 602, 888, 3086, 602, 568, 1373, 607, 30251, 607, 713, 3510, 7125, 585, 780, 12441, 596, 4413, 1224, 519, 20525, 888, 763, 20525, 729, 1269, 347, 15383, 24689, 548, 476, 271, 259, 711, 1269, 347, 15383, 347, 283, 271, 259, 563, 2252, 621, 1185, 1044, 519, 8545, 267, 1287, 649, 782, 1131, 3858, 602, 1100, 1875, 24105, 3113, 6818, 563, 1892, 9947, 476, 1626, 628, 476, 1001, 274, 267, 476, 1015, 281, 6812, 6751, 454, 330, 770, 17868, 340, 454, 3725, 281, 14301, 513, 3113, 454, 32621, 1384, 23192, 17397, 676, 8065, 810, 325, 296, 11803, 454, 3383, 519, 3113, 568, 1079, 12969, 532, 2786, 3515, 780, 6624, 8729, 269, 2311, 1101, 594, 2219, 621, 729, 519, 3113, 540, 513, 5409, 2513, 807, 269, 1809, 594, 7012, 1405, 2386, 1317, 540, 519, 6207, 1871, 1129, 269, 0, 258, 589, 17075, 8630, 16125, 513, 19335, 476, 271, 269, 30588, 11304, 17075, 3440, 692, 16485, 539, 676, 530, 5942, 7711, 538, 8212, 9763, 676, 476, 9262, 275, 4658, 692, 288, 17075, 8630, 16125, 513, 19335, 476, 271, 269, 4962, 11899, 17075, 3440, 609, 543, 3328, 3196, 540, 476, 276, 269, 271, 1535, 476, 1015, 317, 274, 1007, 27971, 23960, 519, 3440, 693, 476, 4510, 7397, 829, 2034, 269, 1548, 568, 519, 9588, 540, 20949, 791, 14975, 547, 519, 3440, 676, 519, 17075, 8630, 2496, 12585, 281, 634, 9588, 540, 20949, 791, 14975, 547, 519, 3440, 676, 519, 17075, 8630, 568, 476, 273, 269, 273, 715, 7643, 692, 15008, 1384, 2690, 576, 4294, 593, 519, 17075, 3440, 25883, 22709, 540, 519, 3440, 815, 476, 271, 269, 4962, 4846, 692, 309, 601, 6290, 609, 799, 3440, 568, 23960, 815, 476, 4510, 544, 4882, 692, 11742, 1974, 936, 799, 2062, 576, 4294, 815, 512, 692, 6124, 2023, 7643, 692, 763, 9588, 540, 20949, 791, 14975, 547, 519, 3440, 676, 519, 17075, 8630, 568, 476, 273, 269, 273, 715, 7643, 692, 1012, 2052, 519, 1482, 1268, 5734, 519, 3440, 7466, 538, 2019, 28380, 692, 16485, 539, 676, 530, 5942, 7711, 538, 2657, 9763, 676, 476, 4489, 7606, 692, 309, 5357, 4041, 312, 289, 17920, 19532, 22003, 268, 476, 272, 269, 2052, 513, 6345, 5734, 519, 3440, 7466, 538, 513, 4737, 630, 15290, 835, 568, 10691, 513, 3625, 264, 513, 264, 7224, 536, 264, 13433, 692, 1012, 1215, 1082, 2053, 666, 596, 5734, 519, 3440, 538, 2019, 28380, 692, 16485 ]

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

[ 14950, 3429, 8782, 306, 28719, 5073, 825, 1948, 4449, 19930, 2450, 540, 6885, 8587, 3350, 540, 6885, 692, 3698, 28708, 531, 318, 928, 1116, 5332, 564, 3287, 2187, 825, 12035, 815, 27835, 310, 318, 935, 341, 272, 9166, 23686, 17679, 926, 762, 6025, 325, 20179, 5332, 5436, 8443, 276, 267, 276, 267, 272, 267, 3953, 8079, 1070, 1948, 276, 343, 276, 28708, 267, 476, 272, 3403, 267, 476, 3953, 2934, 270, 16059, 338, 454, 25639, 1412, 310, 318, 935, 341, 273, 9166, 23686, 17679, 926, 762, 6025, 325, 20179, 5332, 5436, 8443, 276, 267, 276, 267, 3953, 267, 5038, 8079, 13211, 25639, 1412, 310, 6958, 322, 9166, 23686, 17679, 926, 762, 6025, 325, 20179, 5332, 5436, 8443, 278, 265, 278, 265, 5038, 267, 476, 9083, 275, 8079, 1070, 1948, 2685, 4448, 454, 25639, 1948, 278, 343, 278, 1317, 1142, 1900, 6971, 7516, 676, 3368, 630, 13092, 476, 2764, 343, 2764, 264, 630, 25900, 1193, 728, 540, 476, 273, 994, 25639, 1412, 719, 9166, 23686, 17679, 926, 762, 6025, 325, 20179, 5332, 5436, 8443, 9083, 275, 267, 562, 318, 5035, 525, 316, 4297, 8679, 8931, 825, 12886, 815, 27835, 321, 318, 935, 341, 272, 9166, 23686, 17679, 926, 762, 6025, 325, 20179, 5332, 5436, 8443, 3953, 8079, 13211, 23526, 1412, 321, 318, 935, 341, 273, 9166, 23686, 17679, 926, 762, 6025, 325, 20179, 5332, 5436, 8443, 5038, 8079, 13211, 23526, 1412, 321, 6958, 322, 9166, 23686, 17679, 926, 762, 6025, 325, 20179, 5332, 5436, 8443, 9083, 275, 8079, 1070, 1948, 2685, 4448, 454, 23526, 1412, 719, 9166, 23686, 17679, 926, 762, 6025, 325, 20179, 5332, 5436, 8443, 333, 318, 5035, 525, 316, 4297, 10926, 825, 1535, 815, 23686, 269, 31412, 3287, 267, 3337, 284, 15631, 272, 267, 476, 2764, 267, 476, 2764, 267, 476, 272, 8079, 1948, 31412, 547, 6366, 476, 2764, 343, 2764, 22562, 825, 5996, 272, 815, 23686, 8542, 333, 18622, 1663, 263, 935, 341, 273, 323, 3287, 267, 30135, 9131, 310, 318, 935, 341, 272, 262, 8079, 1341, 12886, 9131, 321, 318, 935, 341, 272, 11172, 12467, 825, 5996, 272, 815, 3193, 23051, 273, 323, 263, 935, 341, 272, 2020, 825, 5996, 273, 815, 23686, 8542, 333, 18622, 1663, 263, 935, 341, 273, 323, 263, 935, 341, 272, 267, 30135, 9131, 310, 318, 935, 341, 273, 262, 8079, 1341, 12886, 9131, 321, 318, 935, 341, 273, 11172, 12467, 825, 5996, 273, 815, 3193, 23051, 273, 323, 263, 935, 341, 273, 2020, 825, 535, 322, 476, 815, 23686, 269, 31412, 263, 935, 341, 273, 267, 30585, 272, 267, 476, 278, 265, 278, 265, 5038, 7481, 825, 535, 322, 815, 23686, 8542, 333, 18622, 1663, 6025, 325, 269, 3901, 332, 592, 6600, 322, 267, 12035, 9131, 310, 6958, 322, 262, 8079, 266, 6798, 1162, 9131, 321, 6958, 322, 11172, 2020, 825, 1948, 325, 322, 815, 23686, 8542, 333, 6155, 1886, 719, 6600, 322, 267, 1832, 318, 3433, 264, 1948, 3199, 260, 540, 11409, 786, 581, 6854, 22562, 825, 3977, 815, 23686, 269, 3901, 332, 592, 6600, 322, 267, 12035, 9131, 719, 262, 8079, 1341, 12886, 9131, 719, 262, 6540, 825, 2132, 3977, 692, 3698, 5721, 318, 928, 1116, 5332, 564, 1740, 3287, 2187, 825, 12605, 815, 28708, 531, 318, 928, 1116, 5332, 564, 3287, 264, 1948, 10139, 525, 3403, 1239, 998, 8849, 2121, 543, 7024, 835, 3905, 5044, 454, 825, 1942, 815, 23686, 18622, 706, 576, 318, 11743, 6025, 325, 8542, 333, 269, 7809, 10946, 6831, 1484, 318, 550, 16552, 318, 5976, 318, 8421, 1080, 263, 8421, 1080, 284, 335, 1042, 2109, 267, 10297, 284, 344, 4297, 282, 1948, 28669, 525, 1942, 609, 12605, 543, 586, 692, 825, 1948, 3849, 600, 18893, 574, 6500, 849, 814, 513, 9936, 1565, 318, 3433, 267, 855, 602, 781, 476, 271, 269, 9826, 676, 9949, 799, 568, 1434, 476, 865, 16934, 1934, 454, 825, 5688, 6500, 815, 23686, 6745, 1778, 269, 3849, 600, 18893, 574, 6500, 14061, 2381, 4476, 6262, 739, 2020, 825, 609, 23686, 2529, 11970, 3890, 607, 5089, 912, 1038, 5089, 269, 14725, 6025, 325, 3052, 331, 2128, 318, 19702, 1963, 318, 30976, 6500, 31156, 1038, 585, 22184, 538, 2039, 3799, 318, 788, 5255, 338, 2187, 2018, 22184, 9078, 1601, 815, 476, 271, 454, 2018, 585, 9041, 538, 2039, 17301, 9852, 333, 626, 6745, 1778, 8542, 636, 318, 1410, 3263, 11486, 2255, 15481, 264, 2567, 1948, 31260, 1759, 593, 16801, 2450, 543, 2698, 2450, 454, 3546, 22184, 13448, 267, 22184, 14729, 815, 544, 333, 626, 6745, 1778, 12785, 10734, 2255, 6357, 2255, 15481, 264, 1948, 935, 1597, 1304, 569, 3947, 596, 1297, 540, 1806, 596, 991, 693, 513, 942, 454, 3546, 9041, 267, 524, 815, 5089, 269, 14725, 8443, 9953, 574, 6500, 267, 1942, 3910, 3049, 18380, 815, 2715, 343, 281, 22184, 13448, 267, 586, 281, 22184, 14729, 16585, 1948, 3286, 8255, 1346, 1079, 4632, 454, 3546, 1948, 18484, 1405, 1416, 827, 5688, 6500, 267, 865, 1175, 20838, 602, 454, 3546, 1948, 342, 656, 519, 1942, 267, 865, 7001, 538, 4756, 524, 454, 3546, 22184, 9078, 1601, 6834, 524, 692, 2018, 2953, 815, 23686, 269, 16029, 6025, 325, 27769, 10946, 9638, 1042, 2109, 267, 476, 272, 1070, 23686, 27769, 10946, 12169, 267, 476, 272, 4917, 2018, 6111, 815, 23686, 18622, 706, 576, 318, 11743, 6025, 325, 269, 4751, 6262, 8091, 267, 1412, 15615, 29125, 2018, 1820, 3488, 22977, 5255, 3299, 22184, 266, 272, 267, 1412, 1260, 921, 1540, 856, 540, 3299, 562, 318, 788, 5255, 338, 267, 1412, 476, 13809, 281, 3299, 22184, 9078, 1601, 267, 1412, 476, 6452, 5596, 281, 22207, 6111, 4318, 1998, 20719, 343, 281, 19282, 626, 6745, 652, 269, 30502, 267, 586, 281, 19282, 626, 6745, 652, 7456, 629, 1564, 348, 11723, 1038, 2953, 815, 23686, 269, 16029, 6025, 325, 27769, 10946, 9638, 1042, 2109, 267, 476, 272, 1070, 23686, 27769, 10946, 12169, 267, 476, 272, 4917, 1038, 1948, 1173, 10946, 7024, 4994, 540, 5021, 2418, 538, 891, 14249, 454, 1038, 1948, 21353, 1227, 713, 1899, 6645, 721, 952, 12605, 543, 586, 616, 3160, 692, 1038, 6111, 815, 23686, 18622, 706, 576, 318, 11743, 6025, 325, 269, 4751, 6262, 8091, 267, 1412, 15615, 29125, 1038, 1820, 3488, 16914, 5596, 281, 22207, 6111, 4318, 1998, 20719, 343, 281, 19282, 626, 6745, 652, 269, 30502, 267, 586, 281, 19282, 626, 6745, 652, 7456, 629, 1564, 348, 11723, 30221, 318, 928, 1116, 5332, 564, 1740, 3287, 264, 0, 5228, 10070, 1104, 29570, 454, 5228, 5299, 1104, 2620, 32476, 7531, 3698, 1118, 18380, 263, 651, 2643, 626, 267, 1871, 2187, 825, 8173, 825, 8073, 513, 9598, 689, 513, 1592, 540, 10569, 454, 825, 2433, 12407, 1883, 4289, 281, 1496, 4486, 272, 267, 1883, 273, 2639, 825, 2433, 12407, 1871, 281, 476, 1130, 454, 825, 2433, 8873, 281, 2715, 330, 272, 281, 346, 330, 273, 281, 1998, 3686, 454, 825, 8173, 825, 3529, 18380, 815, 31460, 825, 585, 1775, 267, 1883, 538, 26246, 263, 516, 951, 539, 263, 651, 2643, 626, 15892, 1038, 1130, 815, 1871, 952, 1775, 2652, 476, 271, 3116, 3529, 18380, 454, 1038, 3529, 18380, 815, 13634, 2018, 1883, 281, 1130, 454, 1038, 7684, 454, 825, 2132, 3529, 18380, 692, 3698, 5635, 318, 3438, 5416, 267, 536, 2187, 825, 2132, 630, 6352, 5416, 264, 2652, 7003, 6357, 264, 543, 454, 2018, 2715, 343, 538, 536, 585, 1535, 538, 513, 348, 2652, 454, 2018, 2715, 343, 538, 536, 585, 1535, 538, 513, 348, 2652, 454, 2018, 2715, 12148, 348, 9239, 3698, 19467, 18380, 5560, 272, 267, 546, 273, 267, 1799, 17014, 25716, 2187, 825, 8173, 825, 1948, 28799, 21594, 16571, 1947, 454, 825, 1948, 8497, 519, 5169, 1023, 454, 825, 1948, 17648, 546, 272, 543, 546, 273, 21594, 256, 2336, 825, 2433, 12407, 546, 272, 281, 3312, 8675, 454, 825, 2433, 12407, 546, 273, 281, 9337, 8675, 454, 825, 2433, 8873, 281, 9168, 546, 272, 454, 825, 29185, 825, 546, 272, 815, 15079, 952, 546, 272, 568, 7183, 3116, 546, 272, 454, 825, 546, 273, 815, 15079, 952, 546, 273, 568, 7183, 3116, 546, 273, 454, 825, 546, 272, 815, 2620, 32476, 5560, 272, 264, 952, 1799, 17014, 3116, 546, 272, 692, 825, 585, 737, 538, 546, 273, 912, 1038, 1948, 952, 546, 272, 543, 546, 273, 723, 9598, 585, 737, 267, 1287, 973, 9309, 454, 1038, 1948, 3116, 3651, 519, 1007, 1871, 547, 546, 272, 25208, 2639, 1038, 952, 630, 330, 538, 546, 272, 543, 568, 27349, 5560, 272, 25208, 3910, 29570, 994, 3546, 543, 568, 27349, 5560, 273, 25208, 3910, 29570, 15892, 2018, 19467, 18380, 5560, 272, 25208, 3910, 546, 273, 25208, 7481, 1038, 3116, 912, 2018, 546, 272, 25208, 316, 815, 546, 273, 25208, 2639, 825, 2132, 546, 272, 454, 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 5814, 4351, 454, 258, 25159, 630, 13695, 2431, 1867, 4462, 20129, 24868, 762, 1496, 292, 316, 834, 29389, 568, 7654, 796, 20129, 994, 6135, 691, 29228, 815, 1412, 7055, 6135, 691, 300, 20687, 815, 23288, 13117, 2525, 284, 10163, 691, 815, 13117, 2525, 454, 18411, 9792, 9359, 815, 476, 272, 454, 9792, 17484, 815, 476, 736, 454, 2745, 3488, 15916, 269, 1548, 568, 707, 2012, 286, 5073, 12528, 11243, 815, 3403, 10797, 3698, 7058, 3198, 3784, 10031, 825, 15981, 29228, 269, 1306, 802, 3593, 547, 7058, 513, 1297, 18411, 825, 1948, 25159, 630, 13695, 2431, 1867, 4462, 20129, 24868, 762, 1496, 292, 316, 834, 29389, 568, 7654, 796, 20129, 994, 825, 3593, 10817, 612, 815, 1412, 7055, 825, 7058, 307, 2586, 815, 1412, 7055, 825, 5728, 10831, 815, 4351, 27110, 263, 9792, 9359, 267, 2039, 17484, 2020, 825, 1948, 4890, 3009, 454, 825, 1820, 6600, 262, 11039, 267, 2715, 12528, 11243, 9574, 594, 993, 3206, 540, 513, 1297, 1063, 1412, 30492, 16875, 535, 262, 346, 9792, 9359, 348, 543, 2715, 9792, 17484, 348, 5073, 825, 1820, 3488, 12648, 513, 7058, 256, 5073, 825, 585, 7058, 307, 2586, 538, 2039, 263, 272, 267, 476, 278, 2187, 1038, 3593, 10817, 612, 815, 3403, 4590, 1038, 2119, 912, 2018, 3593, 10817, 612, 815, 703, 263, 12528, 10817, 612, 994, 2018, 952, 3593, 10817, 612, 3436, 5728, 10831, 912, 3546, 1820, 6600, 262, 7312, 7058, 568, 547, 1164, 5073, 3546, 7058, 307, 2586, 6834, 476, 272, 454, 2018, 8640, 3593, 10817, 612, 2999, 5728, 10831, 912, 3546, 1820, 6600, 262, 7312, 7058, 568, 547, 1970, 5073, 3546, 7058, 307, 2586, 6834, 476, 272, 454, 2018, 3116, 912, 3546, 2736, 454, 1038, 4849, 28759, 912, 2018, 952, 711, 3593, 10817, 612, 912, 3546, 1820, 6600, 262, 2791, 723, 711, 9411, 4376, 256, 5073, 2018, 3116, 912, 3546, 1820, 6600, 262, 2791, 723, 9411, 834, 346, 12528, 10817, 612, 348, 257, 799, 568, 711, 513, 1297, 256, 5073, 2018, 1820, 3488, 11767, 513, 1483, 1297, 519, 1985, 942, 256, 315, 333, 17210, 825, 952, 3593, 10817, 612, 2652, 5728, 10831, 912, 1038, 1820, 6600, 262, 14187, 2816, 267, 2715, 12528, 11243, 348, 256, 1411, 31665, 1250, 1297, 2715, 572, 4038, 10831, 348, 1412, 30492, 23526, 535, 262, 514, 2715, 29674, 307, 2586, 348, 7058, 525, 256, 5073, 825, 3116, 912, 1038, 1820, 6600, 257, 301, 2100, 269, 634, 1297, 594, 729, 3206, 540, 729, 2715, 572, 4038, 10831, 348, 15419, 825, 1964, 691, 29228, 815, 3403, 6600, 257, 25898, 596, 899, 547, 723, 1776, 979, 286, 834, 30492, 4449, 11434, 535, 257, 13911, 1412, 13433, 262, 547, 3136, 610, 4376, 3116, 547, 16718, 269, 19515, 825, 2119, 912, 1038, 952, 1964, 691, 29228, 2652, 834, 13433, 13426, 2018, 1820, 263, 6135, 691, 300, 20687, 994, 2018, 7058, 3198, 3784, 4590, 825, 4849, 912, 1038, 1820, 6600, 257, 2791, 723, 29921, 1412, 346, 6135, 691, 29228, 348, 8339, 594, 993, 844, 1746, 10590, 2020, 29674, 3198, 3784, 10797, 0, 26611, 23591, 24800, 270, 7090, 454, 5814, 2979, 692, 258, 2098, 933, 328, 674, 330, 1206, 454, 3698, 544, 342, 272, 5416, 14720, 2187, 825, 524, 815, 630, 320, 1341, 536, 264, 1315, 476, 273, 269, 271, 454, 825, 2132, 524, 692, 3698, 544, 342, 273, 5416, 14720, 2187, 825, 524, 815, 630, 320, 2608, 536, 994, 258, 825, 524, 815, 2979, 28460, 5416, 2608, 536, 264, 1948, 11634, 4546, 2357, 560, 320, 754, 997, 1127, 2142, 7371, 1408, 2336, 825, 2132, 524, 692, 3698, 544, 342, 274, 5416, 14720, 2187, 825, 524, 815, 513, 2878, 536, 454, 825, 2132, 524, 692, 258, 859, 531, 568, 339, 538, 3541, 700, 720, 267, 5124, 4211, 1712, 1990, 639, 2459, 20044, 639, 564, 7999, 454, 258, 9246, 530 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 607, 519, 2219, 540, 2883, 2744, 21477, 2471, 1022, 3020, 26069, 4371, 1354, 269, 1879, 5185, 609, 513, 1219, 3539, 3903, 267, 621, 568, 10924, 26069, 16765, 820, 3388, 267, 855, 950, 2883, 2744, 568, 3238, 26069, 616, 4503, 538, 519, 991, 585, 5763, 269, 4495, 7629, 779, 1272, 729, 3144, 267, 717, 6686, 961, 523, 4838, 3278, 883, 513, 3501, 267, 5326, 6438, 1158, 267, 968, 589, 5892, 12457, 1158, 814, 1044, 9927, 883, 519, 8755, 543, 1350, 7867, 540, 2930, 19870, 267, 519, 13423, 727, 540, 3413, 26475, 267, 513, 12363, 6126, 1439, 281, 17514, 267, 6095, 4133, 267, 3915, 15236, 267, 19440, 8279, 267, 2021, 538, 10543, 575, 12495, 543, 2367, 538, 512, 5060, 539, 657, 8108, 1079, 1781, 15077, 4114, 26305, 1346, 540, 5259, 13357, 6100, 634, 30883, 24207, 11052, 676, 10503, 717, 6686, 961, 523, 607, 968, 23855, 673, 19870, 892, 689, 922, 3105, 968, 326, 2001, 1158, 892, 3947, 519, 12705, 602, 13075, 2744, 5795, 519, 4884, 8788, 267, 11744, 875, 26069, 616, 711, 2808, 538, 1570, 2065, 6381, 269, 10801, 519, 3209, 267, 519, 4884, 11363, 875, 11358, 621, 729, 585, 873, 547, 10536, 519, 2724, 267, 2943, 2899, 789, 4309, 621, 789, 1152, 946, 621, 585, 6067, 9037, 5301, 269, 667, 14660, 1066, 332, 3430, 6257, 717, 6686, 961, 523, 607, 968, 1492, 13423, 727, 540, 3413, 26475, 892, 547, 5031, 875, 10057, 519, 4884, 2968, 538, 5763, 267, 3138, 3151, 782, 8289, 540, 2295, 325, 3881, 26069, 269, 32100, 666, 8532, 513, 1268, 779, 4978, 543, 2418, 267, 543, 950, 621, 10039, 547, 513, 1895, 1082, 979, 1996, 741, 5837, 3741, 585, 519, 4324, 540, 513, 5354, 563, 291, 14660, 1066, 332, 3430, 779, 24575, 540, 17847, 1369, 519, 10034, 15161, 540, 717, 6686, 961, 523, 4564, 875, 19838, 12510, 878, 6499, 7472, 16203, 950, 10714, 532, 835, 779, 5837, 4441, 269, 1879, 519, 26302, 543, 7629, 598, 2091, 936, 519, 1857, 5870, 1373, 4371, 547, 1865, 7629, 779, 2013, 267, 789, 3717, 827, 519, 9658, 1097, 540, 519, 3706, 574, 23628, 2676, 2108, 9802, 528, 281, 1152, 519, 1202, 11107, 786, 1174, 519, 2495, 540, 519, 4901, 563, 26877, 281, 634, 1249, 602, 1250, 1272, 568, 693, 7196, 563, 22068, 775, 892, 630, 291, 14660, 1066, 332, 3430, 476, 6434, 1916, 763, 16563, 568, 513, 3090, 540, 16203, 585, 519, 4884, 267, 607, 950, 5185, 609, 4641, 789, 1174, 602, 13075, 12587, 20546, 5683, 2924, 538, 2474, 540, 2123, 2744, 269, 634, 4884, 568, 6857, 540, 875, 1305, 1996, 7629, 789, 723, 1831, 267, 855, 14543, 547, 3398, 741, 2962, 998, 519, 946, 540, 16563, 269, 634, 3003, 4884, 7444, 10714, 338, 7629, 607, 811, 543, 811, 1004, 3442, 519, 2619, 540, 19539, 267, 607, 16203, 13315, 741, 3375, 269, 29460, 18930, 539, 609, 593, 5765, 2883, 2744, 1025, 2720, 519, 9525, 540, 1018, 2306, 3020, 26069, 269, 1879, 519, 2046, 9356, 593, 519, 1439, 578, 618, 602, 519, 1507, 4884, 4607, 865, 10393, 267, 789, 2769, 267, 968, 301, 6334, 267, 519, 2146, 568, 588, 684, 2740, 269, 972, 568, 513, 2669, 569, 16563, 1934, 269, 12213, 7553, 593, 1169, 3068, 6100, 634, 3308, 11052, 540, 968, 1372, 788, 7553, 892, 543, 519, 3280, 11052, 540, 968, 1372, 987, 569, 16563, 892, 960, 1927, 547, 11168, 519, 17847, 602, 519, 4884, 7959, 267, 1256, 1498, 789, 1131, 711, 1491, 1394, 741, 3527, 269, 4256, 17418, 547, 3068, 16203, 8711, 519, 7411, 538, 19394, 5763, 585, 782, 538, 5385, 585, 519, 4027, 540, 835, 269, 667, 14660, 1066, 332, 3430, 779, 3498, 540, 16203, 2390, 519, 4884, 19752, 31112, 779, 1852, 936, 1022, 1268, 267, 607, 2123, 13821, 5932, 519, 2530, 540, 6616, 1018, 568, 1318, 610, 4636, 563, 2171, 953, 543, 26069, 4339, 513, 6024, 6370, 540, 1018, 2306, 1142, 1318, 610, 4636, 547, 11654, 269, 667, 14660, 1066, 332, 3430, 6354, 12885, 2789, 6163, 540, 27461, 1893, 547, 2417, 5304, 779, 12496, 540, 1018, 2306, 513, 3844, 3903, 3983, 610, 1434, 269, 1772, 15684, 540, 606, 1367, 1996, 513, 1895, 2417, 338, 519, 6988, 540, 530, 5930, 519, 2669, 540, 7629, 538, 5385, 585, 5763, 729, 519, 1318, 3903, 269, 667, 14660, 1066, 332, 3430, 12662, 13919, 543, 1570, 2065, 2744, 547, 519, 1449, 998, 519, 11685, 540, 1367, 8957, 2486, 538, 634, 16731, 563, 306, 1539, 1214, 814, 1279, 9598, 730, 1004, 779, 4978, 267, 5784, 267, 5920, 267, 543, 1256, 4555, 269, 1548, 13514, 513, 1966, 568, 602, 267, 16662, 1549, 958, 610, 711, 267, 891, 8155, 27774, 3025, 779, 3527, 267, 610, 3668, 23476, 267, 543, 666, 20965, 288, 3387, 580, 8462, 568, 519, 17117, 540, 2870, 1896, 10096, 585, 513, 2582, 2856, 269, 634, 6388, 540, 20982, 13509, 538, 3332, 1419, 24864, 519, 2239, 543, 568, 513, 8671, 545, 1031, 547, 1628, 20965, 763, 3209, 267, 634, 12414, 540, 519, 21115, 342, 267, 799, 568, 2854, 676, 8361, 6276, 267, 814, 2141, 1044, 606, 5393, 11786, 4062, 540, 3332, 1851, 13915, 269, 901, 568, 5631, 1813, 547, 519, 20965, 14071, 7464, 15346, 892, 676, 717, 342, 754, 565, 2106, 15588, 338, 568, 513, 8466, 3979, 1977, 2110, 6648, 602, 20475, 538, 865, 1906, 1913, 519, 1272, 540, 15141, 1190, 14038, 1282, 476, 4198, 280, 269, 2578, 1229, 1472, 513, 1974, 20965, 299, 7035, 320, 568, 513, 3209, 3370, 538, 476, 4198, 276, 543, 2854, 676, 6739, 12677, 2278, 543, 10564, 32157, 715, 629, 758, 990, 269, 2991, 6294, 7992, 547, 519, 2136, 2276, 689, 2342, 267, 519, 16502, 670, 3784, 339, 670, 3784, 339, 3587, 16770, 20965, 3674, 621, 513, 7872, 267, 607, 3140, 4589, 2813, 1808, 1462, 3098, 585, 513, 14070, 1915, 945, 779, 1152, 3483, 5713, 607, 519, 1650, 779, 5636, 664, 748, 1915, 610, 20599, 267, 22509, 17495, 3298, 519, 1462, 1108, 540, 835, 20965, 296, 1616, 547, 2263, 519, 3095, 1063, 5369, 15351, 4519, 543, 2278, 267, 32157, 715, 629, 758, 990, 269, 5617, 773, 1324, 972, 616, 2178, 19320, 1063, 519, 1079, 282, 25164, 4519, 568, 513, 3069, 540, 7664, 540, 519, 2247, 543, 20965, 7072, 898, 4422, 1510, 6031, 602, 2221, 267, 1310, 1079, 5553, 267, 19537, 1529, 320, 4667, 547, 581, 5963, 32161, 607, 646, 814, 1831, 513, 24819, 2442, 2528, 12835, 267, 7432, 909, 538, 1169, 5420, 20965, 1103, 634, 16731, 267, 2278, 267, 26179, 20736, 1066, 332, 3430, 3096, 519, 1646, 540, 3197, 543, 13513, 547, 6318, 519, 2055, 540, 18348, 2225, 540, 10456, 968, 4692, 10456, 2142, 645, 4454, 892, 286, 634, 1292, 3197, 267, 1849, 18311, 2098, 778, 534, 817, 1014, 267, 20965, 2691, 5185, 609, 519, 4316, 540, 2883, 2744, 267, 621, 949, 3100, 6654, 547, 3442, 519, 2619, 540, 1967, 543, 5763, 269, 1879, 6236, 5817, 2188, 540, 2123, 1894, 543, 7881, 267, 713, 31218, 0, 8794, 519, 11621, 281, 9046, 14572, 6182, 269, 918, 454, 9288, 7566, 519, 4441, 568, 513, 26882, 609, 891, 2653, 3562, 946, 267, 10063, 24862, 3211, 269, 8018, 2861, 543, 3946, 6823, 2238, 1118, 2979, 3015, 585, 782, 1565, 2010, 269, 8648, 3058, 3450, 11226, 267, 971, 607, 5578, 11974, 267, 19469, 10526, 267, 543, 2875, 24713, 550, 29931, 730, 2042, 267, 1450, 596, 547, 6895, 707, 1053, 685, 3356, 269, 18500, 6486, 5000, 1053, 547, 1831, 6899, 609, 2474, 543, 6698, 269, 4675, 2176, 715, 6311, 300, 4441, 269, 3115, 1238, 24862, 267, 476, 12553, 3817, 1142, 563, 13349, 11759, 9208, 595, 2642, 912, 6717, 267, 29314, 267, 11022, 267, 717, 0, 300, 8636, 6535, 7958, 19773, 593, 519, 3017, 536, 11320, 568, 5361, 543, 5493, 32347, 281, 1813, 547, 2528, 267, 3903, 540, 5601, 281, 9925, 338, 616, 519, 6074, 1004, 269, 901, 6497, 1275, 729, 1031, 547, 1491, 936, 2244, 543, 26718, 2043, 602, 964, 5703, 547, 581, 22482, 1547, 9137, 476, 272, 281, 12909, 827, 519, 6476, 536, 11320, 8915, 22038, 543, 1990, 542, 626, 6497, 1275, 543, 875, 22988, 723, 1044, 2215, 539, 547, 1745, 29059, 585, 568, 5361, 689, 513, 1360, 1279, 942, 3516, 269, 2494, 28685, 22038, 16621, 1614, 1883, 2093, 281, 8263, 519, 16495, 540, 7819, 1004, 543, 7819, 5238, 267, 519, 2856, 540, 5692, 269, 769, 824, 1913, 267, 519, 2856, 602, 835, 1058, 3540, 1125, 610, 581, 513, 581, 13154, 547, 519, 1158, 676, 10825, 7819, 16809, 543, 5238, 281, 4984, 13485, 616, 849, 1419, 1759, 593, 713, 6497, 1275, 267, 513, 10206, 540, 22038, 269, 1358, 5156, 519, 7819, 1004, 941, 30758, 547, 1827, 519, 3003, 11782, 269, 1358, 5156, 621, 729, 22038, 282, 621, 729, 5921, 547, 581, 269, 589, 3350, 585, 519, 556, 652, 28344, 618, 543, 4027, 540, 513, 9925, 880, 4182, 538, 1018, 568, 1631, 568, 5361, 269, 0, 25748, 267, 519, 3212, 601, 6953, 541, 3272, 595, 2255, 618, 7027, 16539, 538, 2185, 6552, 13009, 8254, 779, 547, 2445, 1239, 593, 21426, 1519, 12219, 543, 12362, 2249, 538, 24434, 807, 8381, 1633, 593, 2199, 3601, 269, 901, 1239, 2488, 513, 15977, 585, 5464, 543, 547, 3391, 2359, 563, 289, 3471, 807, 8381, 4133, 616, 13155, 2950, 13856, 676, 2030, 2249, 1519, 24434, 807, 22887, 340, 1092, 267, 24434, 807, 24924, 545, 604, 16288, 267, 24434, 807, 6264, 529, 543, 24434, 807, 2367, 345, 625, 4512, 269, 1452, 2027, 2127, 540, 17382, 1633, 1683, 7226, 547, 930, 540, 938, 1034, 4190, 267, 2189, 543, 13155, 5065, 2831, 607, 1134, 607, 513, 30162, 540, 13271, 543, 824, 2030, 2249, 269, 10251, 891, 2950, 616, 3810, 27929, 543, 1419, 12936, 676, 2068, 543, 535, 1968, 10860, 267, 7700, 547, 19394, 2338, 540, 28816, 11317, 971, 607, 844, 12629, 267, 9932, 1502, 4548, 267, 943, 2444, 690, 2297, 543, 3109, 15483, 520, 5622, 779, 563, 2414, 1732, 1174, 519, 1072, 540, 938, 8492, 807, 3574, 4133, 998, 2458, 908, 1018, 5065, 543, 16678, 2831, 616, 30939, 24434, 807, 8381, 4133, 538, 519, 3212, 601, 6953, 541, 3272, 6952, 618, 267, 11682, 6717, 723, 17298, 6098, 6552, 8254, 21426, 12220, 609, 2244, 14935, 538, 4639, 15346, 1575, 267, 5244, 4133, 543, 8672, 27578, 269, 1677, 2087, 7020, 3928, 543, 2298, 540, 22089, 267, 7156, 729, 2016, 8254, 1747, 906, 267, 9249, 543, 7180, 540, 3077, 2249, 269, 14066, 4054, 609, 17860, 338, 267, 1216, 2959, 543, 3662, 13475, 941, 23500, 267, 609, 519, 1840, 540, 8471, 536, 7159, 607, 561, 999, 538, 824, 2127, 269, 1924, 2484, 476, 2764, 5619, 2395, 723, 1044, 6192, 609, 1776, 5619, 4867, 538, 3356, 563, 2171, 723, 6707, 5833, 22089, 540, 5726, 1713, 21426, 1519, 844, 12629, 543, 2699, 26904, 3109, 15483, 6737, 657, 267, 543, 824, 5065, 2249, 1519, 3751, 779, 2960, 802, 543, 11453, 18571, 1502, 4548, 269, 901, 12219, 2249, 1239, 786, 3565, 547, 6626, 1702, 998, 1840, 547, 1533, 12240, 269, 3776, 12220, 723, 849, 7000, 1713, 2338, 540, 29372, 543, 3864, 17544, 267, 799, 2337, 547, 1217, 11641, 2359, 3292, 543, 7226, 6454, 3527, 269, 1403, 596, 616, 5461, 538, 1761, 14828, 547, 948, 1711, 610, 8190, 2635, 9249, 602, 1489, 5065, 21426, 693, 707, 3959, 5225, 3346, 3212, 601, 6953, 541, 3272, 595, 2255, 618, 7027, 563, 763, 2622, 585, 8381, 4133, 1788, 568, 6462, 676, 519, 11682, 6717, 998, 7616, 689, 519, 8241, 6554, 779, 2817, 8092, 3249, 5358, 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 ]

[ 18258, 476, 476, 1789, 19878, 1708, 273, 476, 1835, 338, 267, 8191, 1477, 18851, 1477, 10521, 546, 2939, 1308, 6316, 267, 1210, 14854, 1477, 18851, 1477, 5814, 14854, 607, 8913, 5897, 5035, 22750, 273, 291, 6769, 825, 5727, 5565, 6316, 3440, 1477, 825, 5727, 1477, 825, 8913, 6745, 571, 1356, 263, 271, 3418, 825, 8913, 19544, 573, 564, 31103, 14052, 825, 8700, 318, 2181, 341, 815, 476, 272, 1477, 825, 2681, 318, 2181, 341, 815, 834, 19990, 29177, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 272, 284, 271, 11971, 272, 284, 271, 267, 1535, 273, 284, 271, 267, 586, 273, 284, 271, 267, 1477, 4449, 8700, 815, 7183, 267, 1477, 4449, 2681, 22561, 8029, 1038, 5727, 19461, 1125, 3440, 1477, 1038, 2433, 343, 272, 281, 2990, 2253, 1535, 9949, 281, 476, 271, 1477, 1038, 2433, 344, 272, 281, 2990, 2253, 586, 9949, 281, 476, 271, 1477, 1038, 2433, 343, 273, 281, 2990, 1439, 1535, 9949, 281, 476, 271, 1477, 1038, 2433, 344, 273, 281, 2990, 1439, 586, 9949, 281, 476, 271, 1477, 1038, 2433, 12296, 281, 6316, 1899, 8700, 9949, 281, 3105, 318, 12296, 1496, 272, 15947, 1038, 2433, 10233, 281, 2681, 9949, 281, 3105, 2681, 22373, 19990, 257, 15947, 1038, 5727, 1477, 1038, 1582, 11859, 272, 815, 1535, 272, 1477, 1038, 1582, 13885, 272, 815, 586, 272, 1477, 1038, 1582, 11859, 273, 815, 1535, 273, 1477, 1038, 1582, 13885, 273, 815, 586, 273, 1477, 1038, 1582, 9884, 5954, 815, 8700, 1477, 1038, 952, 8700, 568, 7183, 6769, 2018, 8700, 815, 22750, 273, 291, 9884, 5954, 318, 2181, 341, 476, 1948, 2422, 3105, 1477, 1038, 1582, 9884, 5954, 815, 8700, 1477, 1038, 22750, 273, 291, 9884, 5954, 318, 2181, 341, 815, 8700, 476, 1948, 5457, 607, 3105, 1477, 1363, 1477, 1038, 952, 2681, 568, 7183, 6769, 2018, 2681, 815, 22750, 273, 291, 269, 10233, 318, 2181, 341, 1477, 1038, 1582, 269, 10233, 815, 2681, 1477, 1038, 22750, 273, 291, 269, 10233, 318, 2181, 341, 815, 2681, 476, 1948, 5457, 607, 3105, 1477, 1363, 1477, 825, 1219, 6449, 1598, 9191, 1345, 8029, 1038, 5727, 21642, 6041, 267, 6140, 585, 1477, 2018, 3181, 19982, 1315, 10368, 946, 1477, 1038, 5727, 1477, 1038, 588, 815, 535, 257, 10955, 613, 273, 291, 281, 1535, 272, 281, 346, 1345, 11859, 272, 348, 586, 272, 281, 346, 1345, 13885, 272, 348, 29177, 1038, 588, 6834, 535, 257, 1535, 273, 281, 346, 1345, 11859, 273, 348, 586, 273, 281, 346, 1345, 13885, 273, 348, 29177, 1038, 588, 6834, 535, 257, 530, 281, 346, 1345, 9884, 5954, 348, 29177, 1038, 588, 6834, 535, 257, 2715, 1345, 269, 10233, 348, 29177, 1038, 2132, 588, 5897, 825, 1219, 4159, 4311, 8029, 1038, 5727, 11514, 2452, 6316, 1477, 1038, 5727, 1477, 1038, 8913, 4877, 523, 1575, 14052, 1038, 8913, 3052, 9369, 3287, 284, 1345, 11859, 272, 267, 586, 284, 1345, 13885, 272, 3418, 1038, 8913, 4877, 754, 1144, 14052, 1038, 8913, 269, 10233, 4311, 269, 10233, 3418, 1038, 8913, 9884, 5954, 4311, 9884, 5954, 3418, 1038, 8913, 3052, 9369, 3287, 284, 1345, 11859, 273, 267, 586, 284, 1345, 13885, 273, 3418, 1038, 8913, 269, 26303, 31476, 604, 6449, 4067, 1029, 2652, 26242, 10852, 1029, 257, 6769, 825, 1535, 815, 476, 12573, 1477, 825, 1283, 815, 1535, 1477, 825, 5377, 815, 910, 343, 1477, 825, 2451, 815, 910, 343, 1477, 825, 1318, 815, 1535, 1477, 825, 8728, 815, 32582, 8587, 1948, 9255, 8728, 538, 1592, 1477, 825, 1696, 641, 815, 22750, 273, 291, 3287, 272, 284, 3847, 267, 586, 272, 284, 9008, 267, 1535, 273, 284, 2431, 267, 586, 273, 284, 9008, 267, 1477, 3546, 8700, 284, 1015, 267, 2681, 6889, 13582, 14744, 825, 8728, 6910, 263, 564, 641, 3418, 825, 2144, 697, 815, 22750, 273, 291, 3287, 272, 284, 2431, 267, 586, 272, 284, 9008, 267, 1535, 273, 284, 2431, 267, 586, 273, 284, 321, 18847, 3418, 825, 8728, 6910, 263, 518, 697, 3418, 825, 552, 321, 18847, 815, 22750, 273, 291, 3287, 272, 284, 2431, 267, 586, 272, 284, 321, 18847, 267, 1535, 273, 284, 3847, 267, 586, 273, 284, 321, 18847, 3418, 825, 8728, 6910, 16216, 321, 18847, 3418, 825, 1605, 1111, 815, 22750, 273, 291, 3287, 272, 284, 3847, 267, 586, 272, 284, 321, 18847, 267, 1535, 273, 284, 3847, 267, 586, 273, 284, 9008, 3418, 825, 8728, 6910, 16216, 3847, 3418, 825, 585, 6316, 538, 8728, 6769, 1038, 1820, 263, 8354, 3418, 1038, 6316, 269, 5891, 14052, 1363, 1477, 825, 8913, 6155, 821, 14052, 672, 24653, 0, 258, 8772, 18258, 476, 1704, 19878, 1001, 279, 1477, 258, 26062, 2055, 1477, 258, 8520, 6998, 1297, 1477, 258, 1820, 1297, 9411, 1477, 258, 266, 1477, 258, 5590, 3077, 1871, 1477, 258, 2372, 527, 952, 1297, 9411, 1297, 11224, 3077, 1477, 258, 266, 1477, 258, 7788, 8784, 952, 7058, 3152, 267, 1447, 610, 3160, 1477, 258, 266, 1477, 258, 7788, 8784, 3853, 267, 3652, 1354, 1376, 1477, 258, 1477, 842, 549, 815, 5727, 1477, 8702, 547, 938, 1297, 27378, 3014, 1477, 296, 4312, 13603, 513, 1297, 23228, 2791, 666, 4283, 7058, 525, 543, 594, 3513, 1577, 596, 917, 952, 707, 1477, 29674, 568, 1447, 982, 1250, 1297, 267, 3152, 982, 1250, 1297, 1477, 528, 12327, 16898, 14877, 1250, 1297, 23228, 8923, 2046, 519, 13673, 9898, 1883, 1310, 17511, 707, 7058, 23228, 18851, 1477, 2745, 17301, 549, 3418, 339, 13759, 19056, 815, 476, 276, 1477, 6112, 6936, 6769, 825, 538, 335, 815, 3403, 2891, 11767, 7089, 834, 3418, 825, 1003, 815, 703, 263, 514, 335, 3418, 825, 1820, 2891, 10831, 24333, 1003, 3418, 825, 952, 3077, 19056, 3436, 1003, 6769, 1038, 1820, 2891, 28989, 267, 1250, 1297, 568, 3152, 982, 2580, 1003, 3418, 1038, 3136, 2018, 1948, 3136, 609, 8520, 1477, 825, 952, 3077, 19056, 2999, 1003, 6769, 1038, 1820, 2891, 28989, 267, 1250, 1297, 568, 1447, 982, 2580, 1003, 3418, 1038, 3136, 2018, 1948, 3136, 609, 8520, 1477, 825, 952, 1003, 2652, 3077, 19056, 6769, 1038, 1820, 2891, 2791, 20944, 621, 910, 14307, 1003, 267, 834, 568, 1250, 1297, 834, 3418, 1038, 2736, 5897, 0, 258, 6112, 5332, 6479, 5334, 574, 921, 318, 272, 18258, 1477, 12534, 815, 476, 272, 1477, 3916, 527, 815, 476, 276, 1477, 6112, 15254, 2999, 3970, 6769, 825, 15254, 273, 815, 476, 273, 1477, 825, 3970, 273, 815, 476, 275, 1477, 825, 1820, 2891, 12534, 24333, 15254, 3418, 825, 1247, 15254, 273, 2999, 3970, 273, 6769, 1038, 1820, 2891, 12534, 24333, 15254, 267, 834, 12534, 273, 24333, 15254, 273, 3418, 1038, 15254, 273, 815, 15254, 273, 1341, 476, 272, 1477, 825, 15254, 815, 15254, 1341, 476, 272, 1477, 0, 258, 22557, 6958, 4233, 28804, 3065, 18258, 825, 476, 1724, 19878, 1708, 273, 476, 1835, 338, 1477, 258, 4449, 25639, 476, 1839, 15037, 1708, 273, 476, 1835, 338, 267, 689, 22557, 18258, 1477, 258, 18224, 513, 5182, 609, 22557, 1210, 1592, 1477, 258, 16294, 1599, 12038, 547, 798, 12038, 2962, 1477, 258, 32745, 8379, 9331, 674, 7419, 290, 3582, 10342, 5897, 5228, 14854, 1104, 2608, 825, 1948, 20780, 538, 14854, 8642, 3252, 5897, 3712, 832, 815, 22373, 1042, 2580, 834, 528, 1052, 2580, 834, 344, 3641, 2580, 1477, 16875, 834, 13582, 2580, 834, 19990, 2580, 834, 785, 15282, 2580, 1477, 16875, 834, 341, 14489, 19312, 5897, 3698, 12038, 4433, 335, 5803, 318, 6352, 267, 12297, 15481, 8029, 825, 5727, 5269, 1899, 4433, 335, 5803, 264, 609, 12297, 693, 1439, 1477, 825, 2433, 6352, 281, 3259, 540, 1899, 538, 19641, 1477, 825, 2433, 25346, 15481, 281, 2450, 540, 12297, 1477, 825, 5727, 1477, 825, 4464, 4433, 335, 5803, 318, 6352, 3418, 825, 12297, 5560, 582, 15481, 3418, 825, 18807, 4433, 335, 5803, 318, 6352, 3418, 24541, 672, 5897, 258, 3712, 832, 815, 476, 273, 265, 3712, 832, 8587, 1948, 17677, 1592, 1477, 985, 335, 5803, 815, 7003, 263, 3712, 832, 3418, 4944, 5803, 318, 6352, 815, 476, 4968, 1477, 1721, 1775, 538, 2039, 263, 985, 335, 5803, 8029, 825, 2681, 263, 3712, 832, 5157, 260, 6352, 263, 3712, 832, 264, 8079, 825, 1948, 654, 1905, 1472, 1592, 1477, 825, 12038, 4433, 335, 5803, 318, 6352, 267, 263, 328, 266, 272, 12684, 736, 3418, 825, 1318, 263, 11740, 270, 985, 335, 5803, 3418, 24541, 0, 258, 4009, 8217, 18258, 825, 476, 1839, 15037, 1708, 273, 476, 1835, 338, 267, 689, 22557, 18258, 1477, 258, 18224, 513, 1305, 540, 11954, 10945, 1477, 258, 2422, 4778, 689, 513, 1592, 1477, 258, 4009, 1599, 609, 20438, 9936, 9949, 338, 5897, 5228, 14854, 1104, 2608, 825, 1948, 20780, 538, 14854, 8642, 3252, 24653, 3698, 4009, 3287, 284, 271, 267, 586, 284, 271, 267, 2450, 284, 4968, 267, 897, 337, 6889, 1042, 2580, 11097, 284, 272, 8029, 825, 5727, 18224, 4009, 1477, 825, 2433, 343, 281, 1535, 4087, 540, 2539, 2451, 7944, 9949, 281, 271, 1477, 825, 2433, 344, 281, 586, 4087, 540, 2539, 2451, 7944, 9949, 281, 271, 1477, 825, 2433, 3712, 337, 281, 2681, 540, 12038, 9949, 281, 2699, 1477, 825, 2433, 21653, 281, 2450, 540, 2427, 9949, 281, 4968, 1477, 825, 2433, 342, 573, 281, 1899, 8700, 9949, 281, 476, 272, 1477, 825, 5727, 1477, 825, 4050, 1575, 14052, 825, 3893, 334, 3287, 11971, 3418, 825, 20805, 1144, 14052, 825, 2681, 263, 3712, 337, 3418, 825, 8700, 26028, 573, 3418, 825, 585, 1775, 538, 2039, 263, 275, 2567, 476, 1948, 1684, 476, 275, 2053, 1477, 1038, 4464, 4433, 1125, 3418, 1038, 1318, 263, 3445, 3418, 672, 5897, 18851, 1477, 14818, 532, 1315, 11644, 1599, 4009, 1477, 18851, 1477, 3712, 832, 815, 22373, 1042, 2580, 834, 528, 1052, 2580, 834, 344, 3641, 2580, 1477, 16875, 834, 13582, 2580, 834, 19990, 2580, 834, 785, 15282, 2580, 1477, 16875, 834, 341, 14489, 19312, 5897, 7773, 15481, 815, 476, 8517, 1477, 985, 13645, 815, 7003, 263, 3712, 832, 3418, 338, 336, 15481, 28804, 815, 3094, 15481, 14370, 985, 13645, 266, 272, 3418, 8218, 815, 910, 842, 263, 7773, 15481, 270, 273, 264, 567, 1948, 2539, 2451, 7944, 1477, 1721, 1775, 538, 2039, 263, 985, 13645, 8029, 825, 13483, 15481, 815, 1547, 278, 265, 338, 336, 15481, 28804, 1341, 1775, 270, 985, 13645, 265, 338, 336, 15481, 28804, 1477, 825, 1535, 815, 630, 328, 268, 272, 12684, 338, 336, 15481, 1341, 2253, 1477, 825, 586, 815, 1775, 265, 338, 336, 15481, 1341, 2253, 1477, 825, 897, 337, 815, 4778, 5157, 260, 6352, 263, 3712, 832, 13580, 1477, 825, 15981, 2598, 762, 3181, 19982, 3515, 1477, 825, 1820, 2891, 328, 24333, 1775, 267, 834, 338, 13645, 3287, 284, 2580, 343, 267, 1477, 16875, 834, 344, 284, 2580, 344, 267, 834, 21653, 284, 2580, 13483, 15481, 267, 1477, 19930, 834, 3712, 337, 284, 2580, 897, 337, 267, 834, 342, 573, 284, 2580, 1775, 266, 272, 3418, 825, 15981, 1477, 825, 4009, 3287, 24210, 267, 586, 284, 344, 267, 2450, 284, 338, 336, 15481, 267, 1477, 19930, 897, 337, 284, 3712, 337, 267, 11097, 284, 328, 266, 272, 3418, 0, 258, 14854, 4671, 686, 4120, 318, 31467, 18258, 825, 476, 2918, 12914, 1708, 271, 689, 1477, 258, 476, 4179, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 29210, 298, 340, 273, 335, 304, 278, 6579, 334, 1477, 258, 5269, 513, 6906, 1477, 258, 2422, 8520, 547, 2489, 1125, 5897, 5814, 14854, 5897, 2001, 815, 14854, 11053, 31103, 14052, 2001, 269, 10233, 2891, 19990, 2580, 834, 1042, 14744, 2001, 269, 8218, 6958, 650, 14052, 2515, 815, 476, 1220, 11434, 1948, 20099, 540, 2427, 1477, 4120, 815, 476, 6344, 8587, 1948, 476, 5197, 910, 476, 6344, 815, 476, 2568, 1477, 1721, 1775, 538, 2039, 263, 274, 8029, 825, 18422, 269, 3453, 263, 2515, 3418, 825, 18422, 16000, 263, 4120, 3418, 2001, 269, 754, 6958, 650, 31476, 0, 258, 4626, 564, 762, 301, 318, 5976, 4671, 787, 18258, 476, 273, 270, 278, 270, 866, 1477, 18851, 1477, 25284, 547, 2307, 3593, 585, 1297, 543, 1287, 798, 2053, 3349, 1477, 1721, 602, 1297, 281, 476, 272, 1535, 1003, 267, 24222, 1003, 1535, 1003, 1477, 28275, 609, 4626, 652, 762, 318, 13585, 18258, 910, 1039, 2638, 585, 4570, 8870, 23228, 10267, 9535, 729, 2944, 676, 1210, 513, 834, 339, 787, 910, 4849, 257, 1895, 23228, 2252, 519, 3009, 267, 967, 5034, 1310, 519, 834, 339, 787, 281, 257, 4991, 606, 834, 1410, 4003, 2580, 538, 938, 1477, 13826, 606, 10363, 5569, 538, 519, 834, 842, 257, 1289, 267, 1287, 519, 3009, 967, 5034, 1477, 12898, 519, 1739, 834, 21955, 281, 257, 4991, 13401, 23228, 8450, 4626, 652, 762, 301 ]

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

[ 2018, 2619, 6910, 263, 8001, 994, 2018, 3802, 815, 2385, 3097, 1038, 2619, 18622, 2091, 3890, 23526, 1948, 556, 528, 1304, 2619, 689, 579, 547, 642, 3097, 825, 2132, 2619, 476, 7531, 258, 5440, 7400, 1599, 602, 7024, 513, 667, 12396, 4104, 585, 606, 3003, 3113, 563, 3698, 667, 12396, 318, 14814, 14116, 281, 8641, 264, 9847, 9598, 912, 825, 8173, 825, 9524, 667, 12396, 585, 3003, 3113, 543, 2132, 4104, 607, 513, 8675, 563, 825, 28088, 7851, 1142, 14584, 642, 547, 519, 6316, 602, 729, 1031, 547, 3605, 621, 563, 825, 630, 309, 1068, 1182, 602, 616, 5072, 540, 513, 667, 12396, 3529, 616, 25528, 547, 7183, 1916, 825, 8173, 825, 4104, 815, 31460, 825, 585, 579, 538, 575, 269, 3200, 1182, 10031, 1038, 952, 579, 711, 538, 4104, 912, 2018, 4104, 314, 340, 316, 815, 7183, 825, 1948, 579, 786, 581, 519, 3597, 540, 513, 3529, 454, 2018, 667, 12396, 14116, 267, 579, 267, 4104, 994, 825, 2132, 4104, 8528, 692, 258, 4560, 23867, 3406, 593, 513, 3113, 267, 4358, 693, 513, 11280, 14584, 521, 454, 3698, 645, 12396, 14116, 281, 8641, 267, 521, 281, 8641, 17679, 518, 23753, 267, 4362, 281, 9598, 2187, 825, 8173, 825, 9524, 645, 12396, 540, 519, 3768, 4593, 2642, 6712, 540, 8641, 575, 4358, 693, 7638, 23753, 521, 563, 825, 2387, 29171, 2642, 319, 568, 513, 8675, 11837, 1142, 14584, 547, 519, 6316, 602, 729, 1031, 547, 3605, 621, 1282, 519, 645, 12396, 630, 338, 1058, 581, 25528, 547, 7183, 1991, 547, 519, 1289, 1916, 825, 1715, 569, 4362, 14622, 786, 581, 3773, 547, 519, 8675, 607, 513, 1267, 563, 825, 8173, 825, 1377, 815, 1496, 338, 316, 17264, 1948, 1101, 1377, 2882, 1152, 521, 454, 825, 1247, 7003, 263, 24038, 264, 3436, 476, 271, 912, 1038, 1985, 318, 24038, 815, 32582, 672, 1948, 5965, 547, 5531, 9241, 1336, 14622, 454, 1038, 585, 579, 538, 1377, 912, 2018, 585, 552, 538, 575, 269, 4532, 1211, 318, 539, 2471, 26086, 2567, 567, 1948, 585, 1169, 856, 4707, 6316, 689, 579, 454, 3546, 642, 815, 552, 269, 641, 22683, 26086, 994, 3546, 952, 642, 711, 538, 4362, 281, 672, 1948, 642, 568, 606, 796, 6665, 1243, 14584, 454, 7386, 4362, 314, 341, 316, 815, 552, 11434, 1948, 552, 568, 519, 3529, 6316, 602, 4362, 642, 454, 7386, 1985, 318, 24038, 6910, 17635, 264, 825, 1948, 642, 786, 581, 2417, 2808, 538, 1985, 1780, 454, 2018, 1377, 815, 1985, 318, 24038, 23526, 1948, 882, 8475, 1412, 10113, 262, 1377, 547, 1831, 1699, 7531, 3698, 20313, 29758, 12396, 14116, 281, 8641, 267, 521, 281, 8641, 17679, 518, 23753, 267, 4362, 281, 9598, 2187, 825, 8173, 825, 606, 6388, 540, 519, 645, 12396, 5690, 602, 3096, 513, 674, 9281, 302, 20313, 2676, 825, 2864, 982, 513, 1377, 8386, 7400, 19862, 267, 3097, 825, 547, 4383, 14622, 602, 723, 1044, 4362, 2394, 519, 942, 950, 741, 12543, 616, 2808, 563, 825, 8173, 825, 7117, 324, 815, 26275, 20075, 826, 4590, 825, 7117, 324, 269, 523, 28255, 4433, 994, 825, 1247, 711, 7117, 324, 18994, 318, 24105, 10031, 1038, 579, 815, 7117, 324, 19709, 28255, 4590, 1038, 585, 552, 538, 575, 269, 4532, 1211, 318, 539, 2471, 26086, 2187, 2018, 642, 815, 552, 269, 641, 22683, 26086, 994, 2018, 952, 642, 711, 538, 4362, 912, 3546, 4362, 314, 341, 316, 815, 552, 3097, 3546, 7117, 324, 269, 523, 28255, 17635, 994, 17264, 19638, 258, 3690, 1438, 1849, 3837, 912, 258, 476, 25263, 510, 20881, 496, 25426, 511, 25060, 483, 16088, 20881, 504, 32517, 501, 7511, 18777, 366, 16533, 365, 15159, 417, 28187, 31563, 320, 15010, 321, 8147, 536, 15010, 322, 8147, 421, 480, 352, 18263, 486, 16043, 495, 10524, 361, 16533, 365, 417, 375, 374, 419, 360, 489, 13601, 23521, 350, 320, 15010, 322, 7511, 20001, 373, 25707, 258, 13127, 364, 484, 19867, 478, 20069, 420, 25693, 25426, 368, 26406, 354, 25203, 372, 13213, 508, 7511, 30536, 25203, 368, 26406, 354, 25203, 372, 13213, 508, 12486, 3097, 258, 4469, 20477, 420, 25693, 21928, 302, 3799, 317, 274, 264, 17276, 365, 480, 24731, 22047, 18713, 378, 7511, 25263, 510, 20881, 496, 25426, 511, 25060, 483, 25707, 5228, 5299, 1104, 2620, 32476, 692, 3698, 1166, 20477, 16062, 6702, 718, 14116, 281, 8641, 264, 9847, 8641, 912, 825, 5727, 27987, 513, 1007, 3113, 602, 568, 519, 1098, 1438, 19479, 540, 575, 27969, 454, 825, 19479, 815, 2620, 32476, 14116, 994, 825, 2357, 1206, 815, 1592, 263, 26918, 269, 3200, 1182, 28829, 825, 1948, 1118, 4994, 762, 1592, 3097, 825, 562, 815, 7003, 263, 591, 1206, 994, 825, 585, 737, 538, 2039, 3799, 2187, 1038, 585, 1775, 538, 2039, 3799, 2187, 2018, 1948, 13182, 602, 6316, 630, 328, 267, 737, 264, 6818, 538, 519, 9864, 19479, 454, 2018, 952, 1775, 11203, 737, 543, 19479, 10947, 318, 8354, 263, 591, 1206, 5157, 3910, 2357, 1206, 25208, 8079, 568, 711, 7183, 912, 3546, 585, 795, 538, 2039, 3799, 2187, 7386, 1948, 13182, 602, 6316, 630, 330, 267, 795, 264, 6818, 538, 519, 9864, 19479, 454, 7386, 952, 1775, 11203, 795, 11203, 737, 543, 19479, 10947, 318, 8354, 263, 591, 1206, 25208, 3910, 2357, 1206, 14728, 8079, 568, 711, 7183, 912, 13376, 1948, 952, 630, 328, 267, 795, 264, 711, 2943, 3769, 267, 1039, 621, 547, 519, 19479, 454, 13376, 952, 19479, 10947, 318, 8354, 263, 591, 1206, 5157, 3910, 2357, 1206, 14728, 8079, 568, 7183, 912, 23351, 19479, 27044, 318, 8354, 263, 591, 1206, 5157, 3910, 2357, 1206, 14728, 7481, 825, 2132, 19479, 19638, 692, 3698, 631, 4306, 318, 22958, 297, 7568, 1731, 14116, 281, 8641, 264, 9847, 1592, 912, 825, 8173, 825, 30770, 513, 5934, 17364, 3529, 540, 22051, 3113, 575, 563, 825, 17776, 513, 1592, 540, 8728, 602, 17663, 519, 631, 4306, 630, 514, 17062, 1931, 1916, 825, 8173, 825, 546, 815, 15079, 23526, 1948, 546, 314, 341, 316, 568, 3808, 593, 3845, 547, 3529, 454, 825, 3529, 815, 32582, 19930, 1948, 1592, 540, 8728, 538, 17364, 3529, 454, 825, 533, 336, 815, 24623, 3891, 777, 26212, 640, 20075, 826, 3890, 567, 1948, 546, 314, 341, 316, 7851, 547, 1871, 630, 341, 267, 552, 14352, 340, 267, 341, 4917, 825, 533, 27942, 665, 1807, 815, 15079, 8587, 1948, 4786, 689, 14584, 547, 922, 533, 336, 1327, 1807, 692, 825, 1948, 585, 1142, 14584, 642, 540, 519, 3113, 267, 1039, 606, 7127, 547, 519, 10862, 20313, 2676, 825, 1948, 609, 519, 2707, 2348, 3845, 476, 271, 543, 782, 1866, 2348, 12808, 3845, 454, 825, 585, 642, 538, 575, 269, 3200, 1182, 10031, 1038, 952, 7003, 5560, 264, 2652, 476, 271, 281, 17264, 1948, 519, 1101, 6843, 454, 2018, 546, 314, 341, 316, 815, 476, 271, 3546, 1948, 1118, 621, 519, 3597, 454, 1038, 3116, 912, 2018, 546, 314, 341, 316, 815, 10581, 3488, 8882, 10807, 672, 1948, 2318, 20581, 454, 1038, 1948, 3355, 1125, 513, 10862, 20313, 1627, 609, 606, 7127, 630, 291, 314, 341, 3910, 630, 341, 267, 14085, 4297, 585, 1142, 14584, 642, 2676, 1038, 1948, 1141, 667, 314, 341, 316, 568, 519, 1883, 538, 519, 10862, 20313, 267, 543, 630, 341, 267, 14085, 264, 568, 519, 2404, 1871, 563, 1038, 533, 27942, 665, 1807, 314, 341, 316, 815, 533, 336, 14491, 5560, 314, 341, 3910, 630, 341, 267, 7183, 4917, 8931, 825, 1247, 711, 533, 336, 18994, 318, 24105, 10031, 1038, 1883, 267, 1871, 815, 533, 336, 31927, 28804, 4590, 1038, 579, 267, 6316, 815, 1871, 17264, 1948, 10002, 871, 24042, 689, 533, 336, 454, 1038, 1642, 533, 27942, 665, 1807, 314, 340, 316, 2018, 1948, 579, 568, 1100, 3476, 538, 533, 336, 454, 1038, 952, 6316, 568, 711, 7183, 912, 2018, 3529, 6910, 263, 8354, 264, 11434, 1948, 1039, 6316, 547, 3529, 454, 1038, 585, 3095, 538, 575, 269, 4532, 1211, 318, 539, 2471, 26086, 2187, 2018, 642, 815, 3095, 269, 641, 22683, 26086, 994, 2018, 952, 642, 538, 533, 27942, 665, 1807, 281, 8587, 1948, 3976, 642, 711, 2943, 538, 3529, 454, 3546, 1948, 1294, 952, 6316, 630, 340, 267, 341, 264, 1732, 13462, 642, 547, 519, 3395, 3529, 454, 3546, 530, 25885, 815, 3095, 4318, 2211, 4590, 3546, 952, 530, 25885, 2999, 546, 314, 341, 13912, 8587, 1948, 1732, 6316, 547, 642, 888, 7386, 546, 314, 341, 316, 815, 530, 25885, 8587, 1948, 9337, 519, 3845, 3097, 7386, 533, 336, 269, 26303, 9638, 27942, 665, 1807, 314, 341, 3910, 546, 314, 341, 3910, 630, 341, 267, 3095, 4297, 825, 1948, 9337, 519, 533, 336, 7127, 454, 825, 2132, 3529, 476, 7531, 5035, 3487, 819, 912, 825, 5727, 4462, 542, 1922, 785, 2497, 585, 4509, 771, 329, 2002, 5036, 27969, 454, 825, 1948, 29005, 19024, 1362, 454, 825, 1362, 19024, 912, 1038, 6449, 16435, 1824, 1029, 815, 1412, 318, 935, 1555, 518, 3299, 1412, 318, 324, 2211, 3299, 1412, 318, 21653, 3299, 1412, 318, 8001, 28847, 1038, 1219, 6449, 8181, 9191, 1345, 267, 8708, 267, 552, 2187, 2018, 5727, 8620, 513, 1007, 2990, 602, 568, 519, 6205, 540, 922, 1378, 1895, 27969, 454, 2018, 1582, 11519, 935, 1555, 518, 815, 8708, 672, 1948, 4704, 547, 3487, 819, 3236, 454, 2018, 1582, 11519, 324, 2211, 815, 552, 454, 2018, 1582, 11519, 21653, 815, 476, 272, 454, 2018, 1582, 11519, 8001, 815, 1582, 17264, 1948, 15007, 585, 513, 1895, 6205, 692, 1038, 1219, 3693, 4311, 2187, 2018, 5727, 27987, 3693, 6740, 693, 713, 2990, 27969, 454, 2018, 2132, 1582, 11519, 324, 2211, 3097, 8931, 825, 1948, 1857, 3487, 819, 2409, 454, 825, 1219, 1118, 14682, 4981, 4311, 267, 552, 2187, 1038, 5727, 13014, 513, 1007, 1895, 5627, 3693, 552, 267, 543, 2132, 922, 19024, 27969, 454, 1038, 2132, 1582, 10422, 3789, 4311, 267, 552, 994, 8931, 825, 1219, 1265, 4311, 267, 533, 2187, 1038, 5727, 8340, 338, 519, 1895, 5627, 533, 543, 2132, 519, 2990, 540, 922, 6205, 27969, 454, 1038, 952, 533, 11519, 8001, 11203, 533, 912, 2018, 533, 11519, 8001, 815, 1582, 26098, 9638, 11519, 8001, 264, 825, 1948, 7670, 1679, 533, 11519, 8001, 1310, 16571, 542, 454, 1038, 2132, 533, 11519, 8001, 3097, 8931, 825, 1219, 9769, 4311, 267, 533, 267, 7117, 2187, 1038, 5727, 300, 1120, 525, 519, 2516, 5627, 2609, 533, 543, 7117, 630, 604, 3982, 1040, 12163, 1038, 513, 815, 1582, 26098, 9638, 994, 1038, 536, 815, 1582, 26098, 32429, 994, 1038, 952, 513, 568, 711, 536, 912, 2018, 952, 513, 11519, 21653, 3436, 536, 11519, 21653, 912, 3546, 536, 11519, 8001, 815, 513, 3097, 3546, 513, 11519, 21653, 6834, 536, 11519, 21653, 454, 2018, 3116, 912, 3546, 513, 11519, 8001, 815, 536, 3097, 3546, 536, 11519, 21653, 6834, 513, 11519, 21653, 8528, 692, 3698, 631, 4306, 318, 298, 6350, 32039, 14116, 281, 8641, 264, 9847, 1592, 912, 825, 8173, 825, 30770, 513, 5934, 17364, 3529, 540, 513, 3113, 1210, 918, 6350, 32039, 781, 5690, 780, 825, 17776, 513, 1592, 540, 8728, 602, 17663, 519, 631, 4306, 563, 825, 634, 2609, 540, 519, 3113, 781, 8728, 616, 10924, 547, 581, 12035, 563, 825, 8173, 825, 3529, 815, 32582, 11434, 1948, 1592, 540, 8728, 538, 17364, 3529, 454, 825, 533, 336, 815, 1261, 777, 26212, 640, 20075, 826, 3890, 825, 1948, 13366, 616, 8728, 538, 717, 267, 609, 12035, 607, 1883, 454, 825, 4104, 815, 3487, 819, 3890, 1038, 1948, 1832, 3950, 9087, 4104, 13421, 454, 825, 2990, 815, 15079, 25639, 1948, 4786, 1142, 6843, 547, 922, 3487, 819, 7127, 692, 825, 585, 642, 538, 575, 269, 3200, 1182, 10031, 1038, 2990, 314, 341, 316, 815, 4104, 6230, 820, 14682, 4981, 17635, 994, 8931, 825, 585, 552, 538, 575, 269, 539, 2471, 10031, 1038, 533, 336, 14491, 16216, 4318, 2211, 19572, 552, 264, 476, 1948, 6316, 781, 3693, 568, 1028, 8999, 539, 547, 581, 922, 2597, 22562, 825, 2450, 815, 575, 269, 591, 23753, 18045, 4590, 825, 1247, 7003, 6025, 872, 264, 11203, 2450, 910, 476, 272, 543, 711, 533, 336, 18994, 318, 24105, 10031, 1038, 1948, 3529, 711, 17364, 543, 796, 15263, 539, 8728, 2611, 454, 1038, 2597, 267, 6316, 815, 533, 336, 31927, 28804, 4590, 1038, 579, 267, 642, 815, 6316, 269, 754, 9557, 4590, 1038, 513, 815, 4104, 26098, 263, 6570, 314, 340, 7481, 1038, 536, 815, 4104, 26098, 263, 6570, 314, 341, 7481, 1038, 952, 513, 11203, 536, 912, 2018, 3529, 6910, 263, 8354, 994, 2018, 4104, 26509, 542, 5416, 267, 536, 994, 825, 2132, 3529, 7531, 3698, 11741, 14116, 281, 8641, 264, 9847, 536, 944, 912, 825, 5727, 27987 ]

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

[ 4761, 1062, 454, 274, 269, 5871, 2168, 2589, 540, 16236, 454, 290, 269, 4591, 2065, 4485, 547, 5883, 15629, 6114, 547, 16236, 454, 272, 269, 22165, 327, 1740, 543, 9066, 2553, 454, 273, 269, 11873, 11257, 971, 607, 10649, 267, 512, 2967, 16584, 267, 543, 7544, 454, 274, 269, 6052, 4915, 1519, 556, 5942, 543, 22591, 454, 291, 269, 8865, 1353, 281, 590, 11703, 5438, 1329, 1424, 10378, 910, 589, 9354, 1935, 547, 20547, 8194, 543, 2566, 4713, 4611, 689, 16236, 692, 7656, 269, 15465, 22948, 1282, 717, 4471, 1324, 281, 19484, 23539, 18963, 543, 30248, 454, 288, 269, 20223, 3339, 5288, 269, 7294, 31366, 454, 289, 269, 11790, 7700, 547, 1950, 16236, 6547, 454, 272, 269, 19881, 9271, 543, 911, 30864, 454, 273, 269, 20556, 6384, 1063, 519, 21549, 543, 519, 17680, 1197, 454, 274, 269, 8836, 2188, 12018, 16236, 4082, 454, 290, 269, 11150, 547, 1489, 2635, 5042, 4393, 454, 272, 269, 4750, 532, 543, 22192, 1603, 5751, 454, 273, 269, 2871, 3660, 11052, 543, 14839, 2553, 454, 274, 269, 31499, 7459, 899, 5042, 8965, 3797, 630, 30274, 1070, 10343, 543, 7029, 3797, 630, 16898, 1070, 543, 3750, 3350, 964, 31731, 1436, 543, 1065, 549, 22422, 630, 4932, 11403, 994, 291, 269, 7351, 1382, 281, 6732, 1895, 5626, 6304, 6971, 12675, 16236, 4524, 10835, 26331, 692, 4353, 269, 17583, 609, 9454, 1080, 281, 10289, 23839, 338, 1222, 543, 932, 2335, 9934, 454, 288, 269, 22548, 4328, 2474, 281, 23447, 1222, 267, 8756, 532, 267, 959, 766, 8756, 532, 454, 289, 269, 8466, 2796, 281, 5289, 1143, 543, 922, 3310, 593, 2413, 23447, 1222, 2259, 454, 290, 269, 9537, 540, 23447, 1222, 281, 2790, 267, 2168, 267, 543, 959, 766, 454, 291, 269, 15979, 543, 9021, 538, 8756, 532, 960, 454, 272, 269, 769, 11526, 9844, 543, 6302, 4259, 454, 273, 269, 2598, 1356, 333, 618, 543, 15418, 3157, 454, 274, 269, 12333, 3906, 543, 9479, 540, 2932, 454, 292, 269, 11644, 281, 15043, 16022, 5759, 1210, 10444, 4656, 543, 27733, 2553, 454, 293, 269, 7464, 3734, 1383, 281, 6276, 11709, 16217, 27895, 781, 7641, 1397, 834, 294, 10676, 1733, 7371, 19907, 257, 543, 2442, 11994, 540, 23447, 1222, 692, 309, 269, 3690, 322, 2056, 717, 4361, 281, 16949, 540, 13809, 883, 2290, 781, 5020, 9452, 454, 288, 269, 21931, 3797, 3741, 4294, 547, 16236, 6571, 454, 289, 269, 9828, 585, 2870, 2495, 1310, 2530, 454, 272, 269, 22684, 3785, 543, 3965, 13167, 454, 273, 269, 681, 3770, 338, 543, 18428, 16033, 908, 519, 21549, 454, 274, 269, 22384, 540, 2123, 2208, 3255, 16109, 689, 16236, 454, 290, 269, 7043, 3856, 2994, 585, 4509, 4296, 609, 6068, 3283, 945, 723, 5293, 2476, 454, 272, 269, 15765, 5326, 960, 543, 561, 16112, 29681, 2853, 454, 273, 269, 22034, 2029, 585, 5691, 18189, 5624, 454, 274, 269, 8490, 11215, 2950, 1472, 3838, 16236, 2833, 692, 9654, 269, 10390, 454, 288, 269, 12834, 540, 1883, 2798, 5941, 2429, 713, 3184, 454, 289, 269, 11559, 618, 585, 4797, 1565, 543, 1582, 7721, 680, 2610, 538, 16236, 7067, 454, 290, 269, 16952, 2200, 543, 8100, 585, 2417, 2542, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2252, 596, 4076, 4503, 2576, 2673, 547, 596, 267, 2436, 602, 1268, 568, 513, 1126, 267, 513, 2385, 267, 513, 23947, 267, 513, 24107, 610, 513, 1390, 3659, 267, 519, 1928, 596, 1745, 666, 581, 865, 11566, 267, 596, 949, 1745, 596, 3580, 2760, 12115, 610, 1265, 8788, 1586, 563, 2171, 2461, 28165, 543, 18507, 547, 6338, 596, 547, 16236, 19829, 267, 7067, 19995, 267, 16022, 543, 2278, 14529, 15607, 10557, 1107, 543, 10950, 1394, 938, 15210, 3659, 267, 20154, 23839, 267, 2271, 30698, 267, 1234, 5942, 23046, 31943, 518, 543, 4116, 15576, 645, 269, 1358, 616, 1312, 1934, 547, 15260, 675, 596, 602, 7772, 568, 2009, 543, 602, 707, 6068, 3283, 538, 13336, 616, 11488, 2648, 543, 7067, 1648, 563, 2171, 2461, 6158, 827, 6857, 20494, 1324, 267, 6857, 7067, 267, 519, 4276, 596, 666, 723, 609, 513, 6068, 835, 538, 13336, 543, 10489, 2056, 16236, 269, 1656, 1247, 891, 616, 3978, 3584, 267, 15576, 543, 14529, 15607, 3142, 519, 682, 6143, 2877, 547, 948, 596, 14634, 519, 3389, 1465, 563, 300, 16800, 20978, 918, 2969, 645, 1341, 13698, 5456, 292, 700, 7417, 454, 28716, 891, 22701, 22487, 2593, 585, 811, 689, 7605, 2106, 1341, 27239, 267, 7132, 803, 8615, 4360, 334, 4534, 543, 519, 1655, 9716, 1341, 5289, 9439, 267, 2472, 543, 2833, 18222, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 645, 7495, 312, 267, 631, 18853, 1299, 9501, 7644, 3951, 1315, 932, 2335, 9934, 1299, 23839, 338, 1222, 1315, 2558, 766, 932, 2335, 9934, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 267, 2104, 12206, 256, 4653, 649, 3513, 7832, 593, 513, 4241, 3460, 1394, 538, 942, 547, 2263, 513, 11358, 1974, 538, 1977, 1686, 910, 519, 6406, 2782, 5736, 269, 1284, 4465, 1405, 1175, 1445, 593, 12959, 543, 6214, 282, 3079, 267, 1577, 781, 4685, 883, 875, 1004, 5030, 267, 6068, 267, 543, 28078, 1282, 713, 13710, 4090, 602, 8032, 938, 4182, 781, 3961, 11014, 269, 1924, 10544, 707, 14165, 673, 942, 3684, 22970, 1317, 649, 2811, 1055, 547, 1995, 3140, 5708, 899, 2760, 1354, 2439, 20058, 267, 1450, 803, 547, 5862, 513, 4605, 540, 1018, 3232, 1272, 1522, 723, 1044, 899, 585, 8723, 11570, 2713, 538, 519, 2136, 2276, 1472, 519, 4571, 268, 866, 628, 2540, 269, 5994, 24971, 909, 693, 21554, 547, 948, 4043, 519, 1920, 3484, 267, 11504, 835, 268, 3336, 3506, 1141, 1453, 540, 782, 6502, 4121, 1927, 267, 610, 1256, 7680, 14297, 2749, 10754, 4904, 609, 22278, 9513, 741, 5370, 269, 5020, 6410, 693, 513, 14887, 10605, 982, 23600, 1281, 2221, 855, 1490, 574, 4364, 609, 3638, 5389, 543, 9395, 10275, 27848, 2950, 780, 3086, 267, 1577, 721, 6338, 596, 547, 513, 9135, 1369, 3140, 5708, 1572, 1412, 305, 558, 766, 8339, 11146, 2984, 1305, 1996, 8978, 10080, 666, 4001, 721, 1454, 811, 982, 2241, 10470, 4721, 610, 6653, 1439, 792, 906, 269, 1452, 8941, 7866, 875, 3347, 7960, 936, 942, 543, 8272, 549, 1042, 6848, 2418, 543, 8155, 269, 1635, 3695, 891, 6386, 267, 649, 2744, 5813, 883, 519, 12271, 543, 8186, 540, 1346, 945, 3357, 1354, 721, 780, 5978, 1445, 786, 581, 4481, 593, 834, 13563, 2437, 2495, 2984, 7184, 12082, 538, 3013, 781, 2250, 267, 3850, 3988, 547, 1921, 14156, 1247, 1565, 827, 1114, 21971, 269, 3776, 6074, 2796, 286, 634, 31341, 6681, 2053, 4478, 519, 6406, 2782, 950, 7015, 10692, 1996, 7015, 267, 15819, 10121, 2906, 543, 4152, 7554, 780, 3080, 9159, 1383, 540, 971, 3332, 568, 834, 294, 821, 2060, 634, 6489, 257, 676, 20152, 27508, 269, 5590, 9624, 519, 14784, 540, 519, 6406, 2782, 267, 25753, 27451, 744, 262, 295, 4673, 267, 922, 2178, 2914, 2683, 16502, 267, 4044, 919, 2591, 4547, 2390, 676, 2112, 267, 2530, 267, 543, 1514, 1689, 269, 3414, 1200, 4064, 267, 649, 7198, 24873, 1272, 22314, 267, 4008, 5107, 13346, 267, 543, 1007, 3029, 540, 2792, 6932, 780, 4131, 781, 1491, 513, 6251, 1413, 693, 930, 3344, 5935, 10618, 1287, 3379, 547, 1631, 269, 4438, 519, 6406, 2782, 5736, 267, 3377, 14612, 7444, 267, 5097, 3842, 5022, 5645, 676, 1688, 610, 9447, 998, 14786, 9102, 2395, 1310, 2621, 7018, 269, 25037, 602, 609, 2413, 8216, 20261, 5867, 610, 1483, 6066, 2518, 13739, 338, 256, 901, 3017, 13497, 5222, 1915, 4205, 538, 3140, 32741, 267, 4946, 3178, 543, 13597, 780, 11101, 267, 2015, 875, 6848, 6788, 6766, 11509, 12352, 269, 6468, 1185, 3908, 2924, 543, 3255, 267, 1818, 7365, 1898, 585, 2883, 3354, 269, 8616, 9944, 891, 10148, 267, 1950, 4664, 25577, 267, 3056, 547, 13730, 2648, 12602, 267, 5728, 2119, 7370, 267, 2295, 3691, 6545, 267, 543, 15400, 19647, 269, 7335, 827, 891, 2833, 3091, 3407, 4245, 827, 6043, 267, 8990, 267, 543, 1582, 22523, 780, 2026, 27503, 12206, 267, 1620, 519, 13857, 16799, 1063, 23610, 1686, 543, 3860, 9423, 2636, 721, 547, 5660, 1312, 10459, 1732, 269, 2991, 782, 267, 1169, 3209, 1305, 538, 513, 1808, 3140, 1974, 8309, 547, 8497, 2686, 6561, 543, 8716, 7279, 827, 14758, 8153, 18125, 540, 1686, 780, 1103, 3932, 267, 18167, 883, 3140, 15832, 10704, 593, 519, 1977, 6406, 2782, 5736, 10741, 9486, 5196, 519, 2729, 540, 2043, 21679, 609, 26832, 2242, 269, 898, 11414, 721, 6568, 267, 9639, 267, 543, 7071, 585, 3356, 1500, 2094, 1287, 269, 1306, 15826, 3988, 267, 7421, 891, 6386, 28382, 721, 609, 2565, 3206, 1983, 2556, 585, 26762, 6946, 6106, 540, 1480, 2486, 2066, 2230, 543, 942, 269, 8414, 2542, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 9288, 13185, 30474, 2290, 4303, 454, 9288, 13185, 30474, 2290, 4303, 267, 3370, 538, 476, 1220, 271, 267, 568, 513, 1655, 18522, 4015, 540, 3594, 676, 1977, 9644, 626, 6424, 20767, 30213, 269, 634, 1433, 568, 9674, 883, 1079, 2694, 269, 634, 1101, 851, 5161, 540, 3594, 827, 20767, 30213, 779, 1272, 1354, 1010, 1847, 547, 11870, 22929, 267, 5333, 267, 1519, 1010, 909, 32523, 538, 28180, 681, 1446, 662, 267, 3345, 10491, 267, 1010, 942, 2324, 9642, 6009, 538, 1715, 3840, 4975, 267, 543, 513, 3643, 547, 1715, 3840, 689, 513, 6689, 3659, 543, 1200, 29424, 7219, 880, 8004, 23136, 269, 634, 2034, 3296, 267, 968, 5719, 5060, 5608, 6645, 540, 20767, 30213, 779, 1847, 547, 11870, 22929, 609, 1010, 7649, 670, 7676, 267, 1419, 5373, 9644, 689, 1010, 3646, 547, 2661, 538, 5333, 1510, 6340, 519, 3943, 1893, 543, 1010, 21616, 8942, 547, 1451, 621, 563, 306, 10176, 1495, 22506, 630, 674, 4629, 312, 291, 267, 476, 277, 2904, 476, 6977, 277, 1107, 476, 2537, 5181, 476, 4350, 280, 264, 729, 606, 22341, 11719, 626, 543, 519, 13653, 540, 25164, 4519, 267, 513, 4791, 1505, 585, 8156, 2618, 31752, 998, 5188, 1063, 513, 3461, 543, 513, 25164, 3315, 560, 12171, 516, 644, 729, 4535, 547, 8895, 6509, 6014, 3237, 538, 519, 5651, 822, 1014, 4884, 540, 6154, 756, 1120, 267, 538, 519, 22341, 7276, 269, 1261, 844, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 290, 2753, 2782, 16527, 257, 607, 851, 540, 834, 11227, 1315, 23620, 1315, 8466, 1315, 1977, 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, 634, 14730, 5680, 281, 589, 26726, 21784, 547, 15536, 9798, 543, 519, 10020, 540, 4521, 538, 3204, 6819, 898, 692, 7072, 692, 763, 3059, 1158, 814, 9450, 28354, 538, 2487, 1296, 267, 3056, 547, 1007, 3255, 543, 2591, 538, 2166, 1499, 10628, 269, 2290, 971, 4161, 2501, 538, 519, 1106, 540, 519, 834, 323, 1046, 1357, 2437, 513, 851, 540, 519, 4950, 602, 568, 17543, 6456, 543, 3340, 1808, 3301, 267, 19383, 267, 610, 28431, 547, 1569, 269, 2755, 621, 949, 3100, 899, 513, 11397, 1523, 267, 519, 4158, 1357, 13514, 1713, 6937, 547, 2043, 267, 4213, 267, 543, 6608, 7567, 269, 901, 3184, 12538, 883, 519, 14960, 540, 519, 4158, 1357, 267, 922, 1761, 12178, 267, 543, 519, 1909, 540, 1876, 538, 15725, 713, 804, 663, 32347, 7944, 540, 519, 4950, 780, 8139, 519, 14730, 5680, 692, 2414, 3927, 2232, 519, 6937, 2404, 609, 519, 4158, 1357, 267, 621, 568, 2629, 1101, 547, 1174, 1018, 621, 14122, 269, 2311, 922, 4295, 267, 519, 4158, 1357, 4564, 513, 1507, 6712, 540, 519, 2620, 1357 ]

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

[ 0, 12163, 27026, 4238, 1246, 513, 8237, 22190, 569, 10687, 321, 710, 1184, 780, 272, 269, 4578, 568, 8237, 883, 2516, 1759, 593, 10569, 563, 273, 269, 589, 1599, 568, 4294, 547, 1142, 1895, 563, 274, 269, 634, 2164, 616, 5916, 563, 20701, 5814, 11885, 607, 5286, 454, 5814, 21795, 607, 19073, 7531, 3698, 1449, 14682, 4981, 2421, 3890, 9847, 7183, 912, 825, 17093, 815, 19073, 6185, 1092, 20988, 18692, 1038, 13634, 2018, 834, 821, 9899, 1496, 272, 267, 476, 272, 267, 476, 273, 267, 476, 273, 267, 476, 274, 267, 476, 274, 16689, 2018, 834, 18314, 9899, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 16689, 2018, 834, 22764, 9899, 1496, 1911, 267, 476, 1911, 267, 476, 1911, 267, 476, 1220, 267, 476, 1220, 267, 476, 1220, 16689, 1038, 7684, 454, 825, 25589, 825, 1948, 3143, 4019, 5106, 814, 1044, 2944, 593, 519, 6828, 3528, 1843, 267, 865, 519, 6828, 3528, 454, 825, 1948, 568, 8120, 563, 825, 2516, 815, 17093, 3052, 4981, 2421, 8443, 257, 821, 257, 7481, 825, 10569, 815, 1496, 3881, 314, 271, 316, 585, 1714, 339, 538, 2516, 2639, 825, 546, 12028, 815, 1496, 3881, 314, 272, 316, 585, 1714, 339, 538, 2516, 6540, 825, 7682, 782, 8443, 6943, 31107, 264, 2652, 703, 585, 1883, 538, 10569, 7481, 825, 7682, 782, 8443, 6943, 29254, 264, 2652, 19073, 6185, 1092, 20988, 585, 17093, 538, 546, 12028, 20285, 825, 7682, 10569, 2652, 1496, 272, 267, 476, 273, 267, 476, 274, 6540, 825, 1948, 589, 17093, 568, 2813, 585, 1142, 1895, 563, 825, 7682, 5286, 15126, 318, 16029, 29254, 338, 314, 271, 6012, 257, 821, 257, 4940, 11161, 267, 5286, 15126, 8443, 272, 267, 476, 272, 28413, 825, 7682, 5286, 15126, 318, 16029, 29254, 338, 314, 271, 6012, 257, 18314, 257, 4940, 11161, 267, 5286, 15126, 8443, 272, 267, 476, 273, 8079, 2020, 825, 7682, 5286, 15126, 318, 16029, 29254, 338, 314, 272, 6012, 257, 821, 257, 4940, 11161, 267, 5286, 15126, 8443, 273, 267, 476, 273, 28413, 825, 7682, 5286, 15126, 318, 16029, 29254, 338, 314, 272, 6012, 257, 18314, 257, 4940, 11161, 267, 5286, 15126, 8443, 274, 267, 476, 275, 8079, 2020, 825, 7682, 5286, 15126, 318, 16029, 29254, 338, 314, 273, 6012, 257, 821, 257, 4940, 11161, 267, 5286, 15126, 8443, 274, 267, 476, 274, 28413, 825, 7682, 5286, 15126, 318, 16029, 29254, 338, 314, 273, 6012, 257, 18314, 257, 4940, 11161, 267, 5286, 15126, 8443, 276, 267, 476, 277, 8079, 2020, 825, 1948, 20548, 26021, 3252, 666, 581, 4294, 547, 1142, 1895, 781, 9587, 563, 825, 1948, 454, 825, 1948, 634, 17093, 4994, 568, 519, 1895, 2421, 6241, 267, 519, 2418, 616, 519, 14919, 1599, 454, 825, 1948, 4294, 547, 1142, 1895, 781, 17093, 585, 1142, 6241, 563, 825, 1948, 454, 825, 1948, 11910, 532, 2040, 3890, 15824, 519, 834, 1952, 569, 257, 593, 519, 6828, 3528, 1843, 269, 901, 7024, 513, 454, 825, 1948, 1007, 667, 293, 609, 4737, 17523, 607, 519, 1895, 676, 1883, 267, 519, 1871, 607, 519, 6241, 4433, 1916, 825, 18304, 32470, 815, 17093, 3052, 4981, 2421, 8443, 257, 821, 19312, 1040, 8999, 10797, 825, 7682, 18304, 32470, 7456, 665, 314, 272, 267, 834, 18314, 19312, 2652, 476, 274, 454, 825, 7682, 18304, 32470, 7456, 665, 314, 273, 267, 834, 18314, 19312, 2652, 476, 278, 454, 825, 7682, 18304, 32470, 7456, 665, 314, 274, 267, 834, 18314, 19312, 2652, 476, 1556, 692, 825, 7682, 5286, 15126, 318, 16029, 4433, 4548, 32470, 14277, 18314, 257, 4940, 11161, 267, 5286, 15126, 8443, 274, 267, 476, 278, 267, 476, 1556, 8079, 2020, 825, 1948, 25639, 1079, 454, 825, 1948, 835, 567, 1614, 454, 825, 1948, 476, 272, 672, 476, 1911, 672, 476, 274, 454, 825, 1948, 476, 273, 672, 476, 1911, 672, 476, 274, 454, 825, 1948, 476, 273, 672, 476, 1220, 672, 476, 275, 454, 825, 1948, 476, 274, 672, 476, 1220, 672, 476, 1556, 454, 825, 1948, 692, 825, 1948, 16849, 513, 1239, 18134, 454, 825, 575, 321, 8548, 322, 815, 17093, 3052, 4981, 2421, 8443, 257, 821, 2580, 834, 22764, 19312, 1040, 8999, 4590, 825, 7682, 575, 321, 8548, 322, 7456, 665, 27007, 272, 267, 476, 1911, 1070, 834, 18314, 19312, 2652, 476, 274, 454, 825, 7682, 575, 321, 8548, 322, 7456, 665, 27007, 273, 267, 476, 1911, 1070, 834, 18314, 19312, 2652, 476, 274, 454, 825, 7682, 575, 321, 8548, 322, 7456, 665, 27007, 273, 267, 476, 1220, 1070, 834, 18314, 19312, 2652, 476, 275, 454, 825, 7682, 575, 321, 8548, 322, 7456, 665, 27007, 274, 267, 476, 1220, 1070, 834, 18314, 19312, 2652, 476, 1556, 7531, 3698, 1449, 14682, 4981, 318, 2421, 6958, 4233, 3890, 9847, 7183, 912, 825, 17093, 815, 19073, 6185, 1092, 20988, 18692, 1038, 13634, 2018, 834, 821, 9899, 30585, 1015, 267, 476, 271, 267, 476, 276, 267, 476, 1015, 267, 476, 1839, 267, 476, 2004, 267, 476, 1911, 267, 476, 1911, 271, 16689, 1038, 7684, 454, 825, 25589, 825, 1219, 7584, 518, 263, 1998, 281, 703, 264, 9847, 10581, 912, 1038, 1948, 634, 23454, 1599, 786, 581, 1572, 2899, 609, 1142, 4994, 1871, 563, 1038, 1130, 815, 17093, 7456, 665, 314, 1998, 267, 834, 821, 31116, 1038, 952, 1130, 10922, 476, 271, 269, 271, 912, 2018, 2132, 476, 271, 269, 271, 454, 1038, 952, 1130, 10922, 476, 1015, 269, 271, 912, 2018, 2132, 476, 276, 269, 271, 454, 1038, 952, 1130, 10922, 476, 2004, 269, 271, 912, 2018, 2132, 476, 1839, 269, 271, 454, 1038, 2132, 476, 1911, 269, 271, 692, 825, 1948, 634, 4019, 1599, 630, 12248, 264, 786, 2132, 513, 17093, 609, 519, 4994, 1373, 519, 1895, 2421, 1883, 2676, 825, 1948, 454, 825, 2516, 815, 17093, 3052, 4981, 2421, 16868, 1678, 518, 1040, 12248, 4590, 825, 7682, 2516, 28827, 30419, 8217, 3890, 2652, 1496, 271, 269, 271, 267, 476, 276, 269, 271, 267, 476, 1839, 269, 271, 267, 476, 1911, 269, 271, 2639, 825, 7682, 2516, 14277, 821, 257, 4940, 1729, 8217, 3890, 2652, 1496, 273, 316, 2608, 476, 275, 7531, 3698, 1449, 6831, 2396, 318, 12000, 12198, 3890, 9847, 7183, 912, 825, 1219, 4870, 622, 23544, 19906, 281, 19073, 2529, 7685, 264, 9847, 10581, 912, 1038, 1948, 1411, 1223, 1589, 540, 713, 1599, 607, 606, 834, 1952, 569, 4671, 1314, 257, 1599, 267, 799, 454, 1038, 1948, 7024, 513, 1871, 609, 513, 1114, 3454, 2557, 1759, 593, 519, 19670, 454, 1038, 1948, 2418, 563, 1038, 2132, 630, 1551, 2608, 476, 272, 269, 272, 1040, 8999, 10797, 825, 17093, 815, 19073, 6185, 1092, 20988, 18692, 1038, 13634, 2018, 834, 821, 9899, 1496, 272, 267, 476, 272, 267, 476, 272, 267, 476, 273, 267, 476, 273, 267, 476, 273, 16689, 2018, 834, 18314, 9899, 1496, 1015, 267, 476, 736, 267, 476, 1789, 267, 476, 2412, 267, 476, 2004, 267, 476, 2568, 16689, 1038, 7684, 454, 825, 12467, 825, 7682, 17093, 3052, 4981, 2421, 2891, 821, 20257, 12000, 26021, 263, 514, 4148, 622, 23544, 264, 14277, 18314, 257, 4940, 1729, 8217, 3890, 2652, 1496, 5780, 269, 271, 267, 476, 13679, 269, 271, 6540, 825, 1948, 1411, 666, 849, 1780, 2789, 30843, 3252, 267, 3478, 1394, 513, 6241, 454, 825, 1948, 585, 1142, 2707, 6241, 1315, 30843, 4999, 630, 514, 513, 3818, 8161, 994, 825, 4903, 338, 815, 17093, 3052, 4981, 2421, 2891, 821, 20257, 12000, 26021, 8443, 257, 11743, 2580, 834, 10946, 2580, 4870, 622, 23544, 20285, 825, 7682, 4903, 338, 7456, 665, 18020, 9497, 18314, 2580, 834, 11743, 8442, 4940, 1729, 8217, 3890, 2652, 1496, 736, 269, 271, 267, 476, 2004, 269, 271, 2639, 825, 7682, 4903, 338, 7456, 665, 18020, 9497, 18314, 2580, 834, 10946, 8442, 4940, 1729, 8217, 3890, 2652, 1496, 1789, 267, 476, 2568, 2639, 825, 7682, 4903, 338, 7456, 665, 18020, 9497, 18314, 2580, 834, 514, 4148, 622, 23544, 8442, 4940, 1729, 8217, 3890, 2652, 1496, 5780, 269, 271, 267, 476, 13679, 269, 271, 6540, 825, 1948, 589, 3787, 15777, 3070, 267, 952, 596, 1152, 1616, 513, 2582, 6241, 267, 1131, 581, 547, 454, 825, 1948, 1685, 519, 14919, 3252, 593, 519, 6241, 630, 338, 7685, 264, 4805, 563, 825, 4903, 338, 815, 17093, 3052, 4981, 2421, 2891, 821, 8442, 14277, 18314, 257, 4940, 12000, 26021, 8443, 257, 11743, 2580, 834, 10946, 2580, 4870, 622, 23544, 20285, 825, 7682, 4903, 338, 14277, 11743, 257, 4940, 1729, 8217, 3890, 2652, 1496, 736, 269, 271, 267, 476, 2004, 269, 271, 2639, 825, 7682, 4903, 338, 14277, 10946, 257, 4940, 1729, 8217, 3890, 2652, 1496, 1789, 267, 476, 2568, 2639, 825, 7682, 4903, 338, 14277, 514, 4148, 622, 23544, 257, 4940, 1729, 8217, 3890, 2652, 1496, 5780, 269, 271, 267, 476, 13679, 269, 271, 6540, 454, 3698, 1449, 318, 1952, 569, 3890, 9847, 7183, 912, 825, 1948, 15233, 10943, 1080, 519, 1843, 883, 4773, 630, 4900, 610, 9587, 264, 543, 6677, 22760, 919, 519, 454, 825, 1948, 2164, 269, 898, 781, 519, 1034, 2489, 1106, 540, 1895, 2421, 692, 825, 1572, 318, 5976, 281, 1592, 314, 1598, 316, 815, 29129, 825, 1219, 1250, 318, 1952, 569, 4433, 15036, 281, 19073, 2529, 7685, 264, 9847, 1193, 912, 1038, 1820, 6600, 257, 6943, 4433, 15036, 264, 2652, 2715, 6943, 4433, 15036, 14587, 2715, 31138, 348, 5602, 1038, 1572, 318, 5976, 6910, 4433, 15036, 20508, 994, 1038, 2132, 1945, 2608, 476, 272, 269, 272, 692, 825, 17093, 815, 19073, 6185, 1092, 20988, 18692, 1038, 13634, 2018, 834, 821, 9899, 1496, 272, 267, 476, 272, 267, 476, 273, 267, 476, 273, 267, 476, 274, 16689, 2018, 834, 18314, 9899, 1496, 1015, 267, 476, 736, 267, 476, 1789, 267, 476, 2412, 267, 476, 2004, 16689, 1038, 7684, 454, 825, 12467, 825, 1948, 454, 825, 1948, 7852, 284, 271, 1797, 4019, 519, 1599, 585, 1142, 6241, 630, 718, 9343, 994, 825, 1948, 454, 825, 1948, 7852, 284, 272, 1797, 4019, 519, 1599, 585, 1142, 4737, 630, 718, 9587, 994, 825, 1948, 454, 825, 17093, 269, 1952, 569, 30044, 318, 1952, 569, 994, 825, 7682, 1572, 318, 5976, 2652, 17093, 31815, 8435, 30419, 8217, 3890, 2652, 22373, 821, 2580, 834, 18314, 257, 6540, 825, 1572, 318, 5976, 269, 27234, 4590, 825, 17093, 815, 17093, 269, 1952, 569, 30044, 318, 1952, 569, 267, 7852, 284, 272, 994, 825, 7682, 1572, 318, 5976, 2652, 17093, 28827, 30419, 8217, 3890, 2652, 1496, 271, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 6540, 454, 3698, 1449, 4671, 4920, 845, 3890, 9847, 7183, 912, 825, 1948, 17992, 568, 2147, 547, 4019, 267, 2705, 513, 3787, 811, 25516, 563, 825, 1948, 454, 825, 1948, 634, 1599, 596, 946, 666, 912, 825, 1948, 454, 825, 1948, 2608, 21277, 576, 513, 22185, 1871, 547, 547, 581, 1933, 4751, 547, 519, 3337, 540, 519, 1895, 563, 825, 1948, 2608, 17776, 606, 1843, 630, 338, 7685, 610, 667, 293, 24047, 538, 519, 1482, 3337, 607, 519, 1895, 563, 825, 1948, 2608, 898, 1590, 711, 4573, 622, 621, 781, 3403, 780, 825, 1219, 1205, 14682, 4981, 318, 11743, 14116, 4981, 281, 19073, 6185, 1092, 20988, 264, 9847, 10581, 912, 1038, 1820, 6600, 257, 6943, 14116, 4981, 264, 2652, 2715, 6943, 14116, 4981, 14587, 2715, 16766, 348, 5602, 1038, 2132, 1895, 32557, 10797, 825, 17093, 815, 19073, 6185, 1092, 20988, 18692, 1038, 13634, 2018, 834, 4486, 9899, 22373, 320, 2580, 834, 321, 2580, 834, 322, 19312, 2608, 476, 275, 2676, 2018, 834, 7407, 9899, 5286, 30784, 1052, 263, 1321, 269, 271, 13211, 1038, 7684, 454, 825, 12467, 825, 575, 815, 17093, 3052, 4981, 2421, 2891, 4486, 8442, 14277, 7407, 31116, 825, 1820, 14116, 6745, 4920, 845, 263, 1326, 14682, 4981, 318, 11743, 11723, 692, 3698, 1449, 14067, 22326, 3890, 9847, 7183, 912, 825, 5727, 1805, 22326, 9187, 1824, 9587, 883, 9343, 269, 1133, 560, 22326, 9187, 1824, 689, 9343, 9847, 9587, 27969, 692, 825, 17093, 815, 19073, 6185, 1092, 20988, 20719, 257, 821, 9899, 1496, 272, 267, 476, 273, 267, 476, 274, 3910, 834, 18314, 9899, 1496, 275, 267, 476, 276, 267, 476, 277, 316, 9574, 4994, 284, 14277, 320, 2580, 834, 321, 2580, 834, 322, 19312, 2020, 825, 1948, 623, 643, 582, 9587, 883, 9343, 267, 6721, 513, 19073, 2529, 7685, 454, 825, 30528, 815, 17093, 14714, 871, 10797, 825, 1948, 513, 835, 476, 272, 454, 825, 1948, 567, 1079, 476, 275, 454, 825, 1948, 536, 835, 476, 273, 454, 825, 1948, 567, 1079, 476, 275, 454, 825, 1948, 524, 835, 476, 274 ]

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

[ 0, 5814, 14854, 454, 5814, 4351, 692, 3698, 2721, 306, 852, 4148, 820, 306, 728, 10857, 2654, 267, 5086, 267, 3178, 2187, 453, 343, 284, 1428, 454, 14851, 3178, 2525, 271, 912, 453, 453, 339, 31103, 269, 3453, 10857, 2654, 994, 28432, 912, 453, 453, 9526, 306, 852, 4148, 820, 306, 728, 10857, 2654, 270, 274, 269, 271, 267, 5086, 21147, 267, 3178, 268, 272, 994, 453, 339, 31103, 16192, 263, 4120, 994, 14851, 3178, 2525, 271, 912, 453, 453, 339, 31103, 269, 3453, 10857, 2654, 994, 28432, 912, 453, 453, 9526, 306, 852, 4148, 820, 306, 728, 10857, 2654, 270, 274, 269, 271, 267, 5086, 21147, 267, 3178, 268, 272, 994, 453, 339, 31103, 16000, 263, 4120, 265, 273, 994, 14851, 3178, 2525, 271, 912, 453, 453, 339, 31103, 269, 3453, 10857, 2654, 994, 28432, 912, 453, 453, 9526, 306, 852, 4148, 820, 306, 728, 10857, 2654, 270, 274, 269, 271, 267, 5086, 21147, 267, 3178, 268, 272, 994, 453, 339, 31103, 16192, 263, 4120, 994, 14851, 3178, 2525, 271, 912, 453, 453, 339, 31103, 269, 3453, 10857, 2654, 994, 28432, 912, 453, 453, 9526, 306, 852, 4148, 820, 306, 728, 10857, 2654, 270, 274, 269, 271, 267, 5086, 21147, 267, 3178, 268, 272, 2020, 338, 1938, 284, 275, 454, 339, 31103, 19544, 573, 564, 31103, 4590, 339, 31103, 4732, 32497, 263, 271, 994, 339, 31103, 4877, 523, 1575, 4590, 339, 31103, 15630, 1842, 8987, 1220, 267, 910, 1220, 994, 339, 31103, 4877, 754, 1144, 4590, 1721, 1775, 538, 2039, 4433, 1938, 2187, 453, 9526, 306, 852, 4148, 820, 306, 728, 263, 3199, 267, 476, 5197, 269, 271, 4882, 1938, 267, 476, 274, 994, 453, 339, 31103, 16000, 263, 11740, 269, 271, 4882, 1938, 994, 339, 31103, 20216, 527, 517, 28781, 3890, 0, 5228, 23508, 1104, 2037, 975, 324, 24653, 5035, 12476, 25618, 344, 281, 5897, 825, 1219, 6449, 8181, 9191, 1345, 267, 23508, 8266, 8029, 1038, 1582, 11519, 523, 975, 324, 8266, 815, 23508, 8266, 5897, 825, 1219, 1404, 4311, 8029, 1038, 5727, 1477, 1038, 15824, 519, 4640, 1210, 519, 1843, 1477, 1038, 4164, 6769, 2018, 1582, 281, 519, 1843, 1477, 1038, 2132, 6769, 2018, 7183, 1477, 1038, 5727, 1477, 1038, 1582, 269, 704, 845, 23919, 1538, 344, 14052, 5897, 825, 1219, 1685, 23919, 1538, 344, 4311, 8029, 1038, 5727, 1477, 1038, 630, 9767, 568, 519, 3593, 3418, 1038, 901, 840, 13257, 519, 1101, 4640, 267, 1477, 1038, 602, 2982, 596, 513, 23508, 781, 28135, 543, 596, 8359, 952, 547, 1491, 621, 610, 2490, 621, 1524, 267, 1477, 1038, 543, 2982, 596, 513, 1114, 835, 2394, 596, 8359, 835, 610, 596, 6603, 519, 2063, 23508, 23228, 1038, 4164, 6769, 2018, 7183, 1477, 1038, 2132, 6769, 2018, 7183, 1477, 1038, 5727, 5897, 1038, 585, 1535, 538, 2039, 12759, 4311, 11519, 523, 975, 324, 8266, 264, 8029, 2018, 1699, 5319, 975, 324, 815, 1582, 11519, 523, 975, 324, 8266, 20572, 15947, 2018, 952, 263, 9690, 5319, 975, 324, 269, 4310, 2652, 8771, 8029, 3546, 1820, 2891, 523, 975, 324, 1297, 2715, 271, 348, 3568, 281, 2715, 272, 348, 1269, 2668, 8971, 3287, 267, 1699, 5319, 975, 324, 6230, 2292, 17903, 3546, 1820, 2891, 4777, 596, 1616, 547, 1832, 621, 630, 312, 264, 610, 798, 596, 1616, 547, 1847, 593, 630, 301, 264, 11631, 286, 1422, 333, 14826, 14744, 3546, 2626, 815, 3403, 2891, 312, 610, 715, 7790, 14744, 17264, 1477, 3546, 952, 630, 24987, 2652, 834, 312, 257, 610, 2626, 2652, 834, 344, 257, 8029, 7386, 1820, 2891, 15124, 14744, 7386, 1820, 2891, 9767, 8359, 23508, 1297, 2715, 271, 348, 543, 621, 3568, 281, 2715, 272, 348, 1269, 2668, 8971, 3287, 267, 1699, 5319, 975, 324, 6230, 2292, 17903, 7386, 1699, 5319, 975, 324, 269, 4310, 815, 6936, 1477, 7386, 2736, 1477, 3546, 8640, 630, 24987, 2652, 834, 301, 257, 610, 2626, 2652, 834, 333, 257, 8029, 7386, 1699, 5319, 975, 324, 269, 4310, 815, 6936, 1477, 7386, 1820, 2891, 302, 330, 267, 13071, 1847, 593, 29389, 3418, 2018, 3116, 6769, 3546, 1820, 2891, 523, 975, 324, 1297, 2715, 271, 348, 3568, 281, 2715, 272, 348, 1269, 2668, 8971, 3287, 267, 1699, 5319, 975, 324, 6230, 2292, 17903, 3546, 1820, 2891, 3719, 267, 713, 23508, 729, 2907, 8118, 865, 596, 666, 711, 3409, 621, 1862, 315, 333, 14826, 14744, 5897, 825, 1219, 4159, 4311, 8029, 1038, 2132, 9497, 1607, 4640, 2982, 596, 519, 3330, 540, 606, 23508, 267, 543, 952, 596, 1616, 547, 1832, 621, 596, 4283, 519, 4484, 1412, 312, 3299, 543, 952, 596, 1810, 1405, 4283, 1412, 301, 8339, 315, 333, 713, 786, 979, 593, 2394, 596, 1832, 513, 23508, 610, 10443, 856, 540, 1007, 3283, 1701, 3418, 0, 2745, 3488, 2411, 955, 5073, 4067, 815, 3403, 2891, 11767, 707, 2012, 281, 19515, 2745, 2891, 8702, 2580, 2012, 267, 834, 1729, 1250, 1297, 27378, 3014, 910, 318, 10559, 333, 4840, 257, 9767, 1376, 543, 707, 6060, 568, 476, 1911, 543, 1169, 12161, 596, 786, 6336, 476, 1015, 2798, 1434, 9939, 910, 318, 268, 19515, 2745, 3488, 2411, 955, 17210, 5814, 4351, 454, 16557, 815, 476, 1911, 454, 1492, 20311, 815, 4351, 27110, 263, 272, 267, 1015, 994, 516, 14725, 815, 834, 344, 4840, 6112, 556, 14725, 2652, 834, 344, 13426, 825, 2119, 912, 1038, 3593, 318, 29674, 815, 703, 9272, 3488, 29674, 513, 1297, 1063, 476, 272, 547, 476, 1015, 281, 1412, 4917, 1038, 1247, 6936, 912, 2018, 952, 6060, 10922, 476, 271, 2433, 3097, 25639, 1820, 3488, 7717, 787, 596, 4503, 707, 6060, 568, 281, 22207, 16557, 994, 25639, 2736, 454, 2018, 952, 630, 12528, 318, 29674, 2652, 519, 20311, 2187, 3546, 1820, 3488, 2411, 955, 5073, 3546, 1820, 3488, 6202, 2944, 602, 32075, 338, 2953, 256, 519, 1297, 729, 281, 22207, 519, 20311, 994, 3546, 1820, 3488, 7312, 6060, 568, 281, 630, 3299, 16557, 10086, 264, 1134, 2944, 256, 5073, 3546, 2736, 454, 2018, 952, 630, 12528, 318, 29674, 3436, 519, 20311, 2187, 3546, 1820, 2891, 310, 3994, 256, 1411, 31665, 1932, 1164, 8627, 26008, 5602, 3546, 6060, 20699, 476, 1015, 454, 3546, 1820, 3488, 2411, 955, 5073, 3546, 3593, 318, 29674, 815, 703, 9272, 2891, 2521, 547, 7058, 519, 1297, 281, 27363, 2018, 952, 630, 12528, 318, 29674, 2999, 519, 20311, 2187, 3546, 1820, 2891, 310, 3994, 256, 1411, 31665, 1932, 1970, 8627, 26008, 5602, 3546, 6060, 20699, 476, 1015, 454, 3546, 1820, 3488, 2411, 955, 5073, 3546, 3593, 318, 29674, 815, 703, 9272, 2891, 2521, 547, 7058, 519, 1297, 281, 27363, 1038, 556, 14725, 815, 3403, 2891, 11767, 586, 547, 556, 14725, 610, 1022, 3364, 3116, 547, 1439, 281, 19515, 1038, 952, 556, 14725, 2652, 1412, 344, 12466, 2018, 6060, 815, 476, 1911, 454, 2018, 519, 20311, 815, 4351, 27110, 263, 272, 267, 476, 1015, 994, 825, 4849, 912, 1038, 1820, 3488, 9767, 1705, 842, 4283, 513, 1297, 30314, 5073, 1038, 1820, 3488, 2411, 955, 17210, 19638, 0, 2745, 3488, 5257, 454, 272, 269, 19410, 827, 519, 2009, 3977, 2418, 540, 519, 1739, 3009, 538, 5124, 543, 875, 596, 1131, 454, 1478, 2492, 519, 19363, 950, 1210, 1114, 5124, 8747, 454, 5257, 17210, 3698, 946, 318, 14310, 5334, 727, 3602, 3287, 2187, 825, 1948, 798, 1945, 609, 1267, 454, 825, 1820, 31114, 2020, 14310, 815, 476, 278, 270, 276, 692, 2745, 3488, 5257, 454, 2026, 6700, 676, 519, 2243, 267, 519, 1292, 3390, 609, 891, 3515, 540, 3009, 568, 602, 1114, 5124, 8747, 786, 4612, 3097, 1492, 26230, 11346, 8335, 780, 23911, 476, 273, 11859, 786, 4612, 519, 26230, 11346, 607, 606, 8870, 6498, 952, 519, 11378, 616, 9981, 780, 23911, 476, 274, 11859, 786, 4612, 519, 26230, 11346, 607, 513, 13735, 1448, 6498, 780, 6546, 1767, 267, 519, 1267, 4756, 786, 581, 3160, 547, 15079, 585, 5124, 476, 273, 11859, 3705, 1562, 543, 786, 581, 15079, 585, 454, 23911, 476, 274, 11859, 3705, 1562, 563, 5257, 8339, 8971, 263, 278, 2260, 276, 267, 1267, 11723, 2745, 3488, 5257, 454, 296, 3494, 602, 519, 1655, 1259, 547, 6023, 519, 30372, 17756, 602, 713, 3017, 1522, 2014, 568, 547, 2047, 11766, 454, 718, 519, 5124, 2707, 3009, 883, 513, 5124, 14044, 5113, 269, 8528, 1607, 1449, 786, 581, 9447, 607, 513, 1788, 538, 513, 5691, 1604, 543, 267, 547, 19334, 621, 267, 782, 602, 781, 2877, 568, 547, 2196, 538, 519, 3597, 17835, 540, 3097, 10472, 1788, 1384, 259, 2707, 1547, 1597, 341, 24800, 270, 716, 10675, 692, 4517, 519, 5691, 1604, 786, 581, 15181, 269, 901, 786, 20586, 519, 11056, 1604, 711, 1152, 547, 513, 1808, 5124, 4528, 3097, 8117, 849, 547, 2327, 1152, 519, 2877, 29444, 786, 581, 1031, 780, 2252, 596, 616, 1210, 8837, 630, 12061, 268, 7419, 21197, 1070, 596, 1522, 1616, 547, 1711, 513, 1007, 14044, 5113, 607, 789, 616, 711, 3444, 268, 5308, 15095, 780, 5257, 17210, 2745, 3488, 5257, 454, 21446, 8271, 267, 952, 5124, 476, 273, 11859, 568, 2877, 1317, 540, 9371, 2152, 267, 519, 1739, 1104, 786, 1450, 596, 547, 946, 6498, 607, 454, 527, 568, 3044, 593, 5124, 476, 274, 11859, 692, 5228, 6449, 325, 1956, 1029, 1104, 6498, 692, 5257, 17210, 19638, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 32046, 593, 570, 826, 9484, 476, 2420, 476, 1626, 281, 6812, 281, 3953, 476, 1708, 271, 692, 287, 10461, 281, 556, 4209, 454, 20701, 454, 3698, 3193, 32622, 6025, 1601, 2567, 3097, 825, 536, 284, 339, 1601, 454, 825, 535, 17342, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 316, 22322, 825, 585, 737, 538, 536, 281, 3097, 1038, 535, 25208, 268, 272, 316, 23785, 330, 454, 4449, 567, 1948, 3438, 919, 998, 8638, 1510, 519, 946, 540, 2039, 28329, 27030, 1038, 7531, 825, 2132, 3193, 6600, 9239, 604, 6449, 4067, 1029, 2525, 257, 1029, 10852, 1029, 9899, 3097, 825, 1820, 32384, 32622, 8443, 276, 267, 274, 267, 274, 267, 272, 267, 273, 28413, 825, 1820, 32384, 32622, 8443, 274, 267, 274, 267, 274, 267, 272, 267, 273, 316, 4297, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 32046, 593, 11205, 4239, 476, 2764, 476, 1626, 281, 4375, 281, 5881, 476, 1708, 271, 692, 287, 10461, 281, 556, 4209, 454, 20701, 3698, 1205, 16655, 3065, 8138, 3553, 263, 6919, 2567, 825, 454, 825, 536, 756, 573, 344, 17342, 316, 3097, 825, 13544, 334, 17342, 2639, 825, 4831, 284, 271, 454, 825, 585, 512, 538, 1913, 281, 22322, 1038, 536, 756, 573, 344, 266, 17342, 338, 9285, 6025, 13580, 3097, 825, 585, 27342, 573, 344, 538, 536, 756, 573, 344, 281, 3097, 1038, 952, 27342, 573, 344, 711, 538, 13544, 334, 281, 22322, 2018, 13544, 334, 266, 17342, 321, 984, 573, 344, 2639, 2018, 4831, 23785, 272, 3097, 825, 1820, 27203, 871, 334, 994, 825, 2132, 4831, 28329, 13872, 27030, 27030, 13872, 825, 1948, 1721, 737, 538, 2039, 12759, 263, 6919, 9984, 272, 2567, 22322, 1038, 1948, 604, 15044, 263, 6919, 25208, 8079, 256, 284, 338, 9285, 263, 6919, 26514, 2567, 3097, 17264, 1948, 321, 756, 573, 344, 266, 17342, 6919, 25208, 14963, 3097, 8931, 8931, 8931, 8931, 8931, 8931, 8931, 8931, 8931, 8931, 8931, 8931, 8931, 8931, 8931, 8931, 8931, 8931, 8931, 8931, 8931, 8931, 8931, 8931, 604, 6449, 4067, 1029, 2525, 2891, 1029, 10852, 1029, 257, 2567, 825, 454, 825, 1820, 263, 1326, 16655, 3065, 8138, 3553, 8443, 262, 342, 331, 337, 321, 3299, 1412, 332, 3299, 1412, 321, 327, 322, 3299, 1412, 541, 345, 3299, 1412, 342, 330, 3299, 1412, 344, 6062, 3299, 1412, 323, 336, 338, 3299, 1412, 11459, 337, 3299, 1412, 332, 578, 325, 337, 3299, 1412, 338, 329, 344, 321, 11172, 4917, 8931, 672, 0, 5228, 556, 1104, 2608, 5897, 2958, 815, 29289, 16868, 262, 22677, 26834, 269, 16732, 4700, 315, 272, 7565, 286, 284, 30818, 314, 271, 268, 280, 31765, 274, 348, 7565, 286, 284, 30818, 314, 288, 19053, 31765, 273, 16585, 314, 320, 22271, 288, 19053, 271, 268, 280, 31765, 1015, 4151, 20298, 1721, 1775, 538, 2039, 17301, 9272, 28829, 8029, 825, 5569, 815, 1412, 8339, 21860, 4433, 9285, 9272, 3890, 17903, 825, 513, 815, 3406, 263, 2958, 267, 5569, 3418, 825, 952, 513, 6769, 1038, 1820, 3488, 11749, 573, 20298, 825, 3116, 6769, 1038, 1820, 3488, 1103, 20777, 20298, 0, 5228, 476, 8918, 1104, 27252, 454, 333, 558, 3691, 815, 476, 278, 692, 258, 476, 272, 264, 5915, 6387, 20221, 561, 262, 583, 18442, 19812, 546, 262, 550, 17243, 796, 9930, 3691, 267, 21915, 844 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 568, 2693, 4929, 2484, 811, 2800, 982, 1434, 563, 9617, 607, 707, 1560, 814, 4170, 585, 8501, 267, 621, 849, 2115, 15459, 9600, 585, 1697, 1599, 269, 2290, 1259, 547, 1174, 713, 568, 547, 2015, 1018, 3536, 3425, 10057, 1282, 741, 4720, 269, 3509, 4966, 3494, 602, 2094, 519, 19232, 18070, 16527, 267, 649, 7960, 607, 25433, 3766, 520, 1877, 3464, 269, 19232, 18070, 6484, 2829, 602, 649, 723, 13881, 3662, 2472, 585, 1034, 540, 938, 6228, 593, 3047, 269, 1677, 2303, 602, 15459, 9600, 616, 10393, 5739, 547, 721, 2306, 1100, 2631, 267, 2523, 689, 606, 12105, 5133, 563, 2026, 5063, 607, 476, 1001, 271, 267, 519, 1699, 7840, 689, 519, 2475, 4972, 540, 11982, 630, 4785, 6395, 264, 1289, 585, 4227, 707, 15459, 3170, 6981, 547, 513, 6071, 476, 1015, 2600, 540, 707, 2698, 8477, 610, 1447, 269, 901, 568, 4230, 15929, 267, 543, 3833, 519, 6587, 540, 1018, 1034, 1004, 2154, 585, 6099, 1072, 256, 634, 5767, 2257, 5267, 2635, 9600, 630, 338, 18260, 543, 5667, 18260, 9600, 689, 2898, 1426, 267, 3662, 267, 543, 2030, 2959, 264, 1058, 17663, 9170, 689, 476, 2004, 547, 476, 5952, 2600, 540, 707, 2949, 1648, 6981, 269, 590, 18260, 9600, 1683, 513, 1297, 540, 1271, 1072, 2640, 267, 1519, 519, 1739, 912, 17809, 4575, 2679, 7161, 585, 1591, 17011, 267, 10399, 267, 543, 9449, 6438, 6878, 25115, 10338, 267, 971, 607, 7513, 2961, 13205, 585, 1271, 3170, 30320, 8324, 589, 267, 667, 267, 661, 267, 543, 918, 23586, 540, 25558, 2940, 883, 6171, 589, 29955, 547, 2539, 8501, 2157, 630, 25659, 2466, 545, 543, 588, 792, 545, 7408, 264, 20450, 607, 27179, 8665, 630, 5115, 23359, 3679, 264, 8838, 2711, 4492, 585, 707, 2634, 30216, 2893, 328, 1214, 3525, 12885, 4719, 7939, 543, 2337, 2061, 2860, 630, 8117, 344, 878, 3679, 994, 272, 269, 31613, 14121, 4973, 8501, 5223, 281, 31613, 6871, 568, 513, 1360, 1271, 2295, 2068, 1981, 3815, 269, 3807, 7941, 707, 31613, 1377, 676, 707, 2698, 8501, 269, 901, 6871, 1058, 23679, 581, 1657, 476, 2190, 2600, 269, 12989, 476, 1015, 2600, 267, 621, 781, 513, 1713, 13525, 540, 2295, 2068, 1981, 269, 476, 273, 269, 17832, 22318, 728, 270, 8461, 299, 12753, 281, 19147, 707, 27831, 728, 1297, 676, 707, 31613, 269, 901, 5223, 1058, 23679, 581, 2630, 476, 273, 269, 476, 274, 269, 715, 17307, 9067, 641, 549, 12803, 281, 25334, 4601, 519, 1034, 3532, 1449, 585, 10442, 2295, 2068, 1981, 267, 713, 1449, 11887, 707, 8167, 540, 4130, 267, 811, 14124, 25928, 5536, 269, 9540, 25928, 5536, 1205, 12758, 3362, 267, 2014, 811, 6553, 267, 543, 616, 13615, 547, 7378, 543, 682, 696, 514, 4187, 269, 901, 1449, 568, 711, 3335, 10288, 267, 865, 596, 1522, 991, 547, 7662, 621, 689, 707, 10629, 610, 1931, 621, 3054, 998, 513, 3791, 18407, 269, 630, 2690, 811, 1344, 593, 519, 715, 17307, 26100, 641, 549, 12803, 267, 5225, 4585, 1250, 5967, 609, 18281, 918, 816, 518, 267, 1657, 4700, 476, 275, 269, 674, 8463, 7378, 281, 589, 3339, 17509, 1973, 7378, 1377, 568, 2630, 476, 276, 267, 855, 23679, 267, 596, 3513, 1616, 621, 2630, 476, 274, 269, 1403, 707, 7378, 1377, 568, 2362, 982, 476, 276, 267, 519, 1034, 2500, 1259, 547, 11126, 621, 568, 547, 2569, 610, 9004, 782, 3029, 540, 8192, 4006, 267, 3226, 535, 28229, 267, 543, 9268, 9274, 269, 476, 276, 269, 674, 8463, 1973, 7280, 281, 5525, 723, 3254, 602, 1004, 609, 513, 17509, 1973, 7280, 540, 476, 1911, 268, 10219, 8406, 7933, 331, 1185, 5176, 1614, 2053, 519, 1981, 540, 18337, 16050, 2068, 540, 1004, 609, 513, 1973, 7280, 2630, 476, 8064, 8406, 7933, 331, 269, 476, 277, 269, 20613, 626, 3562, 268, 1222, 5223, 281, 6250, 30844, 3170, 267, 519, 1826, 540, 3170, 602, 25173, 1472, 707, 4835, 8219, 267, 568, 513, 1134, 29627, 1758, 1242, 1981, 3815, 585, 2295, 2068, 269, 634, 14724, 1259, 547, 6218, 707, 1981, 1934, 568, 676, 3274, 7893, 707, 22765, 3562, 268, 1222, 5223, 269, 630, 2690, 2417, 5528, 267, 5225, 1294, 519, 3095, 547, 1250, 3105, 2376, 4700, 476, 278, 269, 11635, 1377, 281, 21418, 4401, 666, 11851, 1360, 14984, 19842, 2566, 267, 865, 952, 596, 723, 4430, 4401, 538, 707, 1973, 267, 596, 666, 3441, 707, 1973, 8043, 543, 2333, 707, 1981, 540, 2295, 2068, 269, 27814, 267, 596, 1058, 6895, 707, 16796, 7542, 761, 514, 1377, 543, 1118, 2386, 621, 568, 2630, 476, 3199, 23356, 270, 6447, 269, 634, 14724, 2081, 547, 9004, 4430, 4401, 616, 1973, 21856, 543, 9354, 943, 548, 15318, 3912, 563, 763, 1739, 3349, 14592, 1250, 4528, 540, 513, 834, 24711, 268, 11794, 2732, 2437, 799, 24024, 6553, 267, 6971, 7378, 4187, 267, 543, 2337, 596, 2569, 707, 1981, 585, 9025, 2068, 269, 1403, 596, 1616, 2417, 3877, 267, 594, 2303, 17265, 1250, 19630, 1242, 12594, 4643, 267, 799, 786, 3391, 596, 998, 8192, 2242, 538, 513, 1900, 8386, 9912, 6752, 267, 3001, 689, 19444, 547, 13591, 547, 4359, 563, 272, 269, 23423, 610, 9004, 782, 9268, 3536, 476, 273, 269, 26332, 3729, 782, 15347, 543, 3810, 6784, 21329, 3536, 689, 707, 2732, 476, 274, 269, 16202, 5214, 3536, 8164, 2009, 547, 2057, 4598, 547, 5739, 6694, 6464, 267, 971, 607, 9848, 874, 657, 622, 476, 275, 269, 3680, 16220, 9168, 5820, 630, 14875, 302, 1070, 799, 20739, 752, 6211, 14784, 593, 513, 10408, 1377, 543, 616, 5532, 547, 10731, 1072, 2042, 267, 1519, 5312, 6553, 543, 2295, 2068, 476, 276, 269, 16202, 693, 2547, 835, 21017, 540, 707, 1426, 4608, 10541, 630, 3863, 1070, 610, 607, 1454, 607, 596, 666, 4383, 282, 2057, 5986, 3536, 693, 1164, 5210, 476, 277, 269, 21561, 519, 2179, 540, 4195, 5388, 538, 707, 2732, 267, 12725, 6738, 543, 5214, 952, 2009, 476, 278, 269, 16202, 6923, 25496, 3536, 267, 799, 948, 11126, 707, 8937, 4551, 543, 2061, 6553, 27351, 6748, 2706, 656, 580, 839, 689, 23633, 4551, 267, 607, 1134, 607, 3246, 3407, 6171, 918, 273, 267, 645, 8324, 267, 543, 824, 5567, 476, 279, 269, 3680, 782, 5841, 6653, 22211, 269, 476, 280, 269, 23423, 535, 28229, 547, 1447, 982, 476, 1839, 10101, 829, 1554, 689, 782, 2959, 267, 1519, 2898, 5613, 269, 1403, 596, 723, 7378, 4187, 267, 3987, 267, 13119, 267, 610, 2295, 2068, 267, 596, 9364, 581, 1134, 15695, 547, 1832, 707, 535, 28229, 4616, 2630, 476, 1428, 10101, 829, 1554, 2394, 707, 7378, 4187, 814, 28348, 476, 1015, 269, 4210, 777, 782, 1098, 9600, 630, 557, 1326, 762, 11041, 267, 5768, 25978, 3092, 4700, 585, 2635, 9600, 899, 25636, 267, 6151, 7423, 267, 10381, 267, 543, 17310, 3282, 282, 2057, 10438, 12444, 1242, 8501, 630, 3273, 6856, 565, 602, 814, 8854, 678, 4545, 573, 267, 971, 607, 602, 689, 22848, 10541, 26545, 16940, 5798, 264, 476, 1556, 269, 1677, 556, 25270, 707, 15060, 268, 274, 547, 15060, 268, 277, 5223, 267, 1491, 513, 1164, 7779, 3662, 2861, 15060, 268, 274, 7110, 267, 971, 607, 737, 18115, 3282, 267, 543, 2569, 707, 4616, 540, 9268, 15060, 268, 277, 9600, 689, 10448, 11041, 476, 1321, 269, 27276, 7899, 540, 6986, 1216, 1169, 1554, 454, 1103, 1840, 547, 1739, 519, 2295, 268, 11794, 1544, 5941, 1657, 267, 972, 616, 1896, 811, 2994, 602, 666, 581, 25340, 5363, 538, 4227, 5312, 6553, 543, 7551, 16715, 707, 9025, 1981, 912, 268, 11644, 5781, 269, 2290, 540, 519, 3119, 2640, 540, 3635, 568, 602, 621, 2337, 3339, 1125, 543, 2226, 2635, 7378, 543, 682, 696, 514, 2157, 269, 11644, 849, 25242, 31613, 267, 4679, 707, 2208, 9449, 2504, 267, 2337, 26193, 707, 14031, 267, 543, 10607, 707, 7099, 543, 3207, 563, 268, 3955, 18283, 550, 17509, 269, 674, 8463, 568, 606, 5140, 1259, 547, 834, 516, 321, 2393, 257, 707, 10307, 865, 602, 707, 1560, 666, 2124, 7568, 875, 547, 6633, 3170, 607, 922, 3119, 4492, 267, 799, 2337, 596, 8774, 1346, 4430, 3170, 8637, 269, 3955, 18283, 550, 17509, 814, 513, 2484, 3152, 12802, 543, 10220, 2557, 3379, 547, 6671, 782, 6377, 17509, 1036, 6036, 269, 6271, 4528, 568, 14595, 6377, 17509, 563, 268, 16140, 532, 3054, 547, 519, 3618, 269, 1879, 596, 3802, 11953, 20584, 267, 1863, 9211, 616, 11843, 689, 519, 3618, 883, 707, 1560, 267, 543, 9211, 616, 930, 540, 519, 1034, 14984, 14434, 1634, 269, 16140, 532, 630, 10193, 1572, 2423, 2251, 264, 2337, 13468, 6553, 267, 607, 1134, 607, 30034, 707, 1973, 543, 4929, 707, 2699, 1973, 2281, 547, 1065, 601, 1142, 824, 267, 1818, 873, 1447, 2693, 547, 8052, 563, 268, 20724, 302, 2839, 2493, 514, 5061, 269, 6465, 514, 5061, 666, 2569, 707, 8501, 547, 5906, 569, 1970, 2157, 267, 1247, 3257, 4986, 547, 7116, 3634, 25928, 9325, 2450, 269, 6465, 514, 5061, 949, 1256, 17108, 2295, 2068, 269, 589, 476, 1001, 273, 1353, 4951, 602, 2493, 514, 946, 568, 2404, 609, 513, 476, 7367, 2600, 2362, 9860, 540, 18287, 1881, 18337, 15799, 3379, 547, 1346, 711, 2921, 873, 269, 278, 1656, 18337, 16050, 18287, 2305, 568, 519, 10689, 5658, 540, 5732, 24037, 2295, 2068, 269, 4165, 21699, 1218, 723, 849, 1044, 2404, 609, 2295, 2068, 563, 268, 20724, 302, 2839, 6464, 8164, 2009, 269, 645, 5183, 267, 585, 1383, 267, 814, 1044, 5532, 547, 2295, 2068, 281, 4079, 609, 519, 5207, 2157, 540, 645, 5183, 538, 741, 10729, 616, 811, 982, 7466, 607, 2693, 547, 1020, 18337, 16050, 2068, 607, 1346, 609, 519, 9803, 2157, 563, 3528, 3220, 269, 30330, 7637, 454, 307, 6506, 666, 3262, 513, 1297, 540, 3676, 267, 1519, 1480, 3777, 525, 22719, 267, 27743, 13738, 19481, 8611, 267, 543, 25425, 2068, 267, 799, 814, 1831, 835, 540, 519, 1034, 3978, 543, 11786, 8623, 12515, 540, 938, 942, 563, 6097, 547, 16861, 7194, 272, 5950, 676, 519, 15544, 585, 8376, 6513, 543, 10644, 630, 24922, 264, 2063, 1032, 267, 5111, 476, 4968, 267, 1822, 1007, 2665, 540, 25425, 2068, 616, 8995, 538, 519, 2475, 1142, 1032, 563, 1607, 568, 827, 476, 1015, 2053, 2362, 982, 519, 13166, 4080, 1297, 540, 2665, 267, 10834, 602, 519, 2068, 568, 1373, 27723, 896, 516, 19959, 269, 4595, 3084, 13178, 3459, 538, 476, 2735, 273, 267, 519, 1297, 540, 25425, 2665, 4080, 12422, 814, 2799, 5176, 476, 1839, 24670, 269, 273, 454, 763, 30546, 2110, 4289, 539, 17245, 7201, 3776, 16164, 267, 274, 27875, 513, 6456, 1650, 540, 968, 4364, 673, 543, 3621, 23659, 29342, 766, 543, 10714, 2223, 607, 5215, 540, 1004, 609, 25425, 2068, 979, 3768, 328, 30938, 267, 610, 1205, 3765, 10972, 30938, 1142, 1032, 269, 3509, 945, 7985, 519, 5538, 17331, 2360, 540, 25425, 2068, 616, 3274, 5143, 602, 741, 2589, 616, 968, 718, 538, 741, 2212, 3034, 2026, 519, 4670, 5205, 2550, 8165, 585, 741, 2729, 543, 24454, 267, 621, 6770, 883, 1445, 513, 20807, 532, 4605, 540, 513, 1072, 1416, 1062, 602, 568, 782, 1932, 8348, 547, 2322, 12434, 6619, 540, 2550, 269, 634, 12286, 4528, 568, 519, 9241, 5950, 10615, 779, 12338, 267, 799, 2882, 476, 1428, 3764, 540, 17468, 22089, 267, 556, 24737, 1243, 10207, 267, 543, 1915, 10311, 563, 299, 344, 1889, 2068, 4016, 547, 10108, 11843, 676, 7786, 269, 4014, 1082, 1869, 14487, 6771, 14311, 547, 24217, 267, 2687, 547, 3220, 269, 1546, 527, 5341, 918, 1782, 14551, 339, 267, 835, 540, 519, 3056, 8128, 593, 25425, 2068, 267, 519, 4551, 666, 849, 581, 3262, 676, 824, 7786, 267, 1519, 19498, 267, 20151, 267, 7904, 553, 267, 543, 21746, 563, 307, 6506, 616, 1973, 29186, 619, 267, 543, 4782, 4158, 267, 1212, 341, 1182, 971, 607, 707, 818, 5404, 527, 610, 3297, 707, 1274, 267, 610, 707, 21435, 269, 4495, 621, 1140, 2851, 3294, 543, 6238, 8023, 593, 707, 1973, 267, 621, 786, 693, 930, 1448, 968, 4944, 527, 892, 922, 9190, 4452, 883, 707, 1973, 6908, 269, 1403, 621, 11438, 606, 11763, 11248, 267, 519, 3968, 786, 3262, 547, 596, 3842, 713, 2892, 643, 776, 12998, 563, 13349, 2427, 2360, 540, 8743, 17486, 1331, 606, 28349, 968, 321, 1638, 779, 3750, 892, 16420, 267, 1928, 267, 8611, 267, 543, 6553, 269, 12580, 540, 25425, 2068, 3335, 1376, 856, 609, 796, 7758, 550, 532, 9854, 267, 18596, 8611, 267, 14331, 267, 543, 513, 16408, 6091, 610, 10549, 563, 763, 2068, 949, 3356, 547, 4887, 838, 553, 916, 267, 2530, 540, 5179, 11558, 267, 543, 1256, 26740, 26900, 267, 23971, 4345, 267, 610, 2295, 2042, 269, 1280, 513, 811 ]

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

[ 807, 340, 6403, 267, 16114, 573, 1470, 28828, 4275, 1107, 5159, 945, 695, 28984, 543, 1118, 713, 7121, 1454, 811, 1950, 269, 769, 1249, 267, 891, 543, 824, 24299, 4161, 519, 27524, 582, 558, 625, 602, 4334, 519, 2144, 644, 924, 609, 519, 2442, 267, 519, 4099, 609, 519, 13020, 344, 543, 267, 538, 930, 2665, 267, 1256, 8093, 1242, 18765, 540, 9135, 563, 7437, 1200, 3527, 543, 3232, 12738, 267, 519, 590, 14244, 6754, 334, 18048, 4477, 12251, 320, 670, 926, 611, 928, 4667, 547, 20053, 547, 9156, 519, 3312, 3096, 543, 10096, 540, 1426, 543, 922, 4616, 269, 634, 5388, 602, 519, 7376, 27499, 616, 519, 3844, 1641, 540, 1200, 3527, 543, 1200, 10868, 7206, 269, 8187, 13906, 267, 1945, 4223, 1170, 1014, 543, 3979, 269, 769, 519, 1463, 15885, 609, 513, 1402, 20020, 267, 3109, 4703, 5249, 609, 5862, 13594, 13939, 689, 3282, 16853, 616, 4334, 539, 609, 713, 18912, 6438, 7762, 1415, 602, 1352, 5252, 919, 267, 3091, 538, 9161, 543, 27499, 563, 1103, 519, 2013, 540, 3043, 3885, 267, 1148, 5444, 11530, 625, 543, 741, 7499, 3885, 616, 3964, 811, 610, 1447, 25678, 282, 4563, 7499, 3885, 267, 593, 519, 824, 1688, 267, 6336, 741, 5638, 267, 616, 15286, 689, 20808, 873, 543, 616, 2040, 3000, 539, 593, 15773, 540, 519, 3003, 2146, 547, 6427, 741, 2984, 609, 1142, 960, 543, 14266, 4371, 269, 15584, 4793, 878, 1470, 19071, 1242, 607, 7731, 17581, 519, 3126, 540, 23609, 1500, 538, 519, 1647, 540, 519, 6855, 602, 6799, 519, 2818, 540, 1010, 5289, 1920, 267, 602, 568, 267, 519, 2818, 540, 519, 15443, 558, 4565, 2946, 2777, 2505, 5034, 676, 519, 7376, 269, 1703, 568, 606, 9029, 267, 538, 1249, 267, 16048, 267, 799, 8711, 3344, 540, 519, 2538, 6685, 540, 922, 4589, 538, 519, 11407, 593, 25812, 5174, 571, 7588, 1014, 1148, 267, 2094, 713, 2538, 6685, 568, 513, 7928, 543, 538, 1082, 2665, 3844, 6249, 540, 741, 22808, 269, 6423, 519, 15840, 2103, 7665, 574, 559, 10730, 13121, 16114, 657, 1546, 8113, 648, 1091, 630, 4489, 278, 268, 1001, 274, 1070, 4487, 9894, 328, 267, 25761, 9380, 528, 267, 5856, 543, 17308, 543, 849, 9380, 528, 267, 18048, 267, 23678, 591, 267, 7548, 11676, 655, 4406, 550, 574, 630, 4572, 273, 268, 1960, 272, 264, 1107, 543, 519, 7415, 15840, 1014, 7376, 543, 7548, 689, 5839, 320, 14243, 21353, 267, 15718, 3464, 517, 4173, 659, 331, 7978, 269, 1717, 267, 621, 1590, 581, 15861, 602, 519, 4473, 540, 891, 543, 824, 5159, 729, 3710, 538, 519, 2361, 540, 1148, 543, 998, 519, 1702, 9715, 676, 873, 538, 519, 3635, 540, 713, 4739, 269, 1548, 568, 17271, 547, 1148, 1590, 581, 607, 4277, 607, 1018, 568, 5007, 547, 621, 563, 1607, 24088, 540, 2823, 571, 8132, 568, 8763, 538, 4793, 337, 6403, 857, 334, 781, 3126, 543, 865, 11495, 538, 519, 1568, 540, 5159, 971, 607, 28788, 2284, 2549, 541, 531, 630, 3192, 271, 268, 1001, 278, 1070, 519, 1685, 894, 543, 3679, 569, 4401, 545, 8834, 632, 2826, 334, 267, 519, 18048, 693, 6742, 1231, 267, 782, 689, 590, 14244, 6754, 334, 267, 543, 519, 524, 926, 10087, 1488, 13568, 6742, 1231, 267, 7119, 538, 519, 4070, 540, 9163, 602, 2769, 741, 1367, 885, 267, 855, 849, 3565, 547, 519, 4070, 540, 7104, 1582, 12635, 267, 607, 789, 1201, 1393, 519, 2856, 540, 1843, 2305, 540, 519, 3109, 1560, 543, 10891, 741, 8823, 269, 5015, 267, 891, 23609, 11574, 513, 17211, 538, 519, 26847, 11603, 585, 519, 14266, 540, 713, 9135, 540, 10367, 269, 898, 949, 581, 602, 972, 568, 930, 2856, 602, 5267, 519, 9000, 540, 3109, 19384, 7499, 5389, 267, 799, 568, 676, 1100, 1797, 3020, 267, 543, 713, 1131, 2491, 519, 3668, 540, 6284, 540, 519, 4589, 602, 896, 12340, 519, 4070, 540, 606, 1148, 1686, 543, 1131, 17854, 519, 22035, 7321, 540, 930, 538, 519, 3068, 540, 1018, 789, 1289, 968, 325, 5831, 5608, 968, 341, 4084, 892, 610, 968, 24859, 892, 540, 25812, 5174, 571, 7588, 1014, 1148, 269, 898, 568, 585, 1100, 824, 2601, 602, 25812, 5174, 571, 7588, 1014, 5159, 971, 607, 1325, 710, 631, 27198, 267, 4173, 5451, 743, 17010, 267, 3967, 664, 320, 4446, 4592, 267, 7325, 10005, 13121, 16114, 657, 267, 14472, 3570, 6754, 3626, 267, 3057, 4897, 334, 667, 21485, 21946, 23176, 543, 25538, 1676, 966, 10005, 616, 849, 7184, 8149, 547, 1382, 538, 519, 4610, 540, 1686, 543, 19795, 563, 3383, 267, 1018, 798, 649, 2911, 827, 950, 649, 2911, 827, 25812, 5174, 571, 7588, 1014, 1148, 286, 1284, 2911, 827, 2621, 602, 616, 2630, 543, 3564, 519, 1568, 602, 519, 5159, 1685, 543, 602, 267, 2705, 267, 616, 8659, 538, 873, 269, 1284, 1865, 1018, 568, 4835, 547, 519, 1568, 543, 1018, 568, 5007, 547, 873, 267, 1018, 568, 17271, 543, 1018, 568, 16312, 13917, 538, 606, 1935, 4171, 8100, 786, 849, 7654, 581, 25139, 676, 15257, 269, 1452, 8100, 616, 1373, 5294, 4624, 543, 6394, 1369, 519, 3537, 12562, 543, 3544, 873, 267, 676, 6101, 543, 1875, 27322, 531, 5238, 540, 2528, 267, 998, 519, 16075, 540, 610, 1275, 543, 519, 1702, 3710, 538, 519, 1034, 9867, 1514, 3906, 269, 1358, 616, 2556, 585, 721, 547, 1935, 811, 5265, 24299, 602, 4161, 721, 547, 9101, 606, 25356, 17374, 563, 763, 18048, 267, 1951, 7676, 1206, 2006, 267, 9380, 528, 543, 1685, 518, 13198, 714, 476, 10695, 267, 945, 729, 4535, 543, 2729, 538, 519, 3854, 540, 519, 3557, 540, 590, 14244, 6754, 334, 267, 1185, 267, 899, 1896, 3109, 5159, 267, 971, 607, 3143, 6742, 1231, 267, 1010, 8129, 538, 519, 10754, 267, 8026, 1178, 29201, 543, 1178, 29201, 269, 898, 4667, 602, 713, 568, 1141, 1312, 519, 18048, 543, 519, 9380, 528, 17589, 519, 10206, 540, 2230, 602, 10274, 741, 1079, 268, 610, 1614, 8820, 15885, 540, 606, 7493, 543, 6405, 1915, 269, 1403, 13198, 714, 476, 10695, 781, 6101, 3435, 3277, 547, 598, 4038, 1143, 267, 713, 7681, 1590, 581, 25358, 676, 519, 2856, 602, 972, 568, 811, 982, 835, 6405, 5119, 547, 581, 13394, 3603, 267, 538, 1840, 547, 519, 835, 602, 568, 2356, 5018, 269, 1656, 713, 2856, 12134, 721, 585, 513, 12761, 602, 519, 28160, 1436, 540, 519, 22401, 3340, 1107, 621, 1131, 581, 2009, 547, 2446, 8100, 547, 713, 598, 4038, 1143, 538, 519, 1568, 540, 31471, 663, 8565, 267, 1325, 18029, 631, 822, 793, 1512, 630, 4572, 276, 268, 1001, 279, 1070, 556, 889, 523, 1130, 20634, 543, 661, 2006, 334, 601, 19966, 340, 14765, 269, 1358, 616, 1114, 14290, 689, 1346, 5294, 4624, 538, 602, 8513, 602, 649, 6785, 607, 519, 968, 22487, 5608, 855, 1256, 789, 1131, 711, 2491, 519, 1788, 2919, 676, 5159, 609, 13198, 714, 476, 10695, 267, 2094, 267, 538, 741, 22808, 267, 519, 3346, 609, 1433, 543, 4081, 1702, 267, 711, 1373, 30050, 267, 568, 540, 14758, 2956, 269, 26055, 563, 763, 1914, 6048, 543, 19784, 1849, 990, 529, 631, 2227, 630, 4572, 276, 268, 1220, 274, 264, 538, 1010, 7354, 345, 8403, 15141, 687, 281, 31910, 4861, 657, 267, 31837, 516, 2388, 543, 1368, 518, 18115, 553, 267, 689, 476, 4198, 280, 267, 18327, 602, 519, 6560, 585, 519, 31414, 540, 519, 20665, 1185, 3109, 2021, 543, 2367, 607, 922, 23233, 543, 713, 6560, 2392, 919, 519, 4521, 602, 267, 1851, 721, 267, 27618, 8474, 269, 4340, 547, 631, 2227, 267, 972, 941, 1082, 2994, 6964, 676, 3109, 2367, 543, 2021, 945, 1185, 2141, 1044, 27025, 30829, 609, 741, 17760, 29713, 267, 799, 267, 693, 519, 3970, 267, 4300, 4705, 547, 11980, 267, 547, 519, 954, 8306, 540, 741, 1378, 2729, 998, 1582, 268, 9404, 15684, 602, 2322, 606, 1439, 547, 25711, 282, 898, 568, 3656, 543, 4023, 547, 4952, 602, 824, 2994, 267, 1519, 519, 27069, 5428, 267, 22466, 519, 5826, 540, 1641, 8481, 676, 17923, 519, 1379, 540, 661, 4592, 267, 610, 540, 661, 3333, 340, 267, 1045, 12097, 547, 8764, 622, 4948, 1272, 609, 519, 2144, 5328, 1143, 602, 2488, 1272, 1996, 519, 2669, 26756, 32427, 730, 676, 20537, 520, 657, 267, 519, 5259, 5601, 540, 2669, 945, 6067, 1115, 543, 10274, 519, 27394, 1886, 29176, 540, 19108, 543, 2221, 269, 0, 15933, 20562, 1845, 1404, 513, 4105, 1909, 538, 5466, 1426, 22584, 676, 3246, 513, 3076, 5202, 585, 2043, 543, 3885, 6849, 2804, 2591, 269, 1452, 2146, 2861, 3906, 4196, 607, 3892, 32387, 585, 24603, 1426, 3688, 267, 5356, 513, 3309, 2039, 540, 1898, 14770, 625, 547, 1346, 538, 991, 269, 15380, 13234, 676, 18758, 3906, 267, 3909, 5238, 267, 610, 2146, 2516, 267, 1426, 20562, 1845, 2832, 547, 8115, 519, 7934, 1063, 21045, 1426, 2200, 543, 2043, 7680, 14000, 269, 634, 10319, 2470, 540, 1426, 20562, 1845, 3322, 12352, 609, 2199, 4213, 267, 11396, 267, 543, 2043, 945, 3565, 547, 741, 11891, 267, 5807, 513, 2631, 540, 18497, 1489, 563, 763, 5106, 540, 513, 1426, 20562, 787, 3322, 513, 7029, 547, 15683, 543, 2463, 585, 1346, 5275, 6351, 269, 3509, 1426, 20562, 1845, 9772, 513, 7817, 31547, 2203, 267, 3850, 2043, 547, 2824, 741, 9053, 1426, 3688, 267, 5009, 513, 2631, 540, 13190, 543, 4227, 1426, 3653, 269, 3958, 267, 930, 1426, 20562, 1845, 8831, 741, 2533, 3564, 519, 3892, 540, 14770, 625, 676, 5356, 3872, 3292, 593, 6484, 267, 22343, 267, 543, 5986, 1983, 269, 1452, 7341, 711, 1152, 2232, 7525, 1426, 2115, 855, 849, 3565, 547, 519, 1279, 3856, 1134, 5630, 543, 1582, 25252, 11797, 540, 2043, 543, 3885, 563, 4407, 1426, 20562, 1845, 1404, 513, 2629, 1909, 538, 7525, 14000, 8323, 267, 789, 849, 4196, 607, 513, 3046, 10309, 585, 519, 6626, 2152, 540, 6710, 543, 8635, 269, 634, 3747, 585, 741, 2533, 19156, 519, 11528, 2591, 5185, 676, 1082, 2950, 269, 1306, 15156, 585, 1514, 1689, 267, 1426, 20562, 1845, 1419, 12840, 609, 14519, 543, 824, 2146, 3906, 547, 2232, 519, 3597, 3123, 540, 1426, 22584, 543, 960, 2509, 4264, 3435, 269, 769, 9759, 267, 1426, 20562, 1845, 18220, 519, 17519, 3210, 540, 2950, 547, 519, 3838, 5539, 540, 4180, 602, 1100, 835, 4422, 17237, 563, 2414, 917, 811, 827, 1426, 20562, 1845, 267, 1577, 779, 1491, 513, 1413, 693, 891, 476, 1015, 1187, 5013, 827, 1426, 20562, 1845, 563, 268, 24306, 538, 9147, 31511, 281, 634, 1523, 540, 18497, 1426, 3892, 814, 3504, 5072, 269, 769, 3504, 10255, 267, 972, 941, 1857, 4859, 543, 3892, 1949, 585, 9274, 267, 4180, 602, 4961, 1185, 1569, 547, 1898, 1426, 3688, 563, 268, 7073, 9622, 10885, 281, 634, 2413, 1426, 20562, 787, 2203, 3459, 547, 1491, 3337, 538, 519, 476, 3422, 271, 338, 538, 519, 2136, 2276, 269, 634, 1101, 1426, 4871, 267, 853, 269, 6307, 779, 5253, 7813, 19137, 267, 729, 3964, 538, 27925, 267, 14151, 267, 538, 476, 3422, 278, 563, 268, 5080, 19828, 5213, 725, 281, 5253, 20562, 1845, 1419, 4309, 23349, 23190, 269, 2755, 1875, 12656, 27720, 3688, 899, 27574, 5370, 616, 1455, 267, 930, 20562, 1845, 849, 4309, 4195, 3132, 267, 10683, 267, 543, 1256, 20614, 3688, 267, 4946, 3099, 547, 519, 2139, 1426, 563, 268, 7991, 29972, 22627, 281, 2368, 1426, 20562, 1845, 1921, 609, 2199, 2146, 10651, 547, 1683, 4195, 267, 12725, 6738, 3132, 547, 1346, 538, 991, 269, 901, 711, 1152, 7028, 6484, 855, 849, 11942, 2146, 6278, 563, 268, 16353, 5253, 23202, 1845, 593, 5453, 1564, 281, 1677, 3914, 9207, 5703, 2127, 610, 2950, 609, 3908, 6283, 267, 930, 1426, 20562, 1845, 7500, 5985, 4559, 269, 1452, 6472, 3142, 14770, 625, 2047, 547, 16973, 267, 1818, 1426, 1569, 811, 10375, 563, 268, 667, 793, 640, 538, 14893, 281, 3509, 2413, 1426, 20562, 1845, 723, 7550, 513, 7817, 31547, 2203, 267, 3850, 2043, 547, 2824, 741, 9053, 1426, 3688, 269, 901, 1935, 8992, 15683, 543, 6971, 1426, 3653, 676, 4180, 602, 23700, 4309, 3688, 789, 786, 946, 563, 268, 21816, 17621, 5937, 337, 1508, 281, 5253, 20562, 1845, 8185, 7048, 593, 13538, 585, 741, 1554, 3562, 6377, 4238, 269, 3245, 18570, 543, 6006, 532, 21684, 547, 21528, 7218, 267, 13538, 1404, 513, 2629, 1909, 538, 519, 4398, 543, 1967, 540, 891, 3906, 563, 268, 15332, 5253, 281, 26859, 15789, 281, 2368, 1426, 20562, 1845, 979, 3564, 3246, 14770, 625, 269, 1358, 2709, 3606, 1489, 2533, 971, 607, 2816, 13307, 6351, 267, 1072, 32182, 267, 543, 3872, 3292, 547, 2232, 519, 6626, 2591, 5185, 676, 741, 7218, 563, 268, 17073, 15863 ]

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

[ 707, 1267, 568, 607, 1739, 281, 476, 10436, 269, 279, 4846, 815, 476, 5002, 269, 9834, 7273, 780, 2791, 917, 476, 10436, 269, 279, 4846, 568, 875, 1082, 7273, 267, 865, 723, 513, 1413, 875, 1082, 4846, 476, 10436, 269, 279, 7273, 281, 476, 10436, 269, 279, 11013, 815, 476, 271, 269, 28526, 30020, 4391, 13532, 780, 8170, 1576, 267, 713, 942, 596, 949, 849, 5180, 1055, 519, 1267, 269, 2991, 24263, 1055, 707, 6364, 568, 4010, 281, 476, 10436, 269, 279, 18470, 815, 476, 271, 269, 3393, 4846, 338, 780, 2171, 849, 1616, 547, 1397, 596, 476, 10436, 269, 279, 4846, 547, 875, 1082, 6550, 543, 476, 10436, 269, 279, 11013, 875, 1082, 4846, 2164, 538, 12125, 269, 2913, 779, 1294, 1384, 2171, 616, 2469, 547, 1376, 609, 513, 5750, 585, 875, 1454, 568, 476, 10436, 269, 279, 4846, 3160, 547, 11013, 780, 10436, 269, 279, 18741, 9999, 547, 623, 2432, 7503, 3349, 692, 298, 559, 9999, 630, 11899, 264, 623, 2432, 630, 331, 321, 264, 623, 2432, 630, 331, 2125, 264, 630, 1037, 539, 1055, 547, 1079, 8918, 4025, 994, 10436, 269, 279, 476, 4489, 269, 3607, 272, 25838, 275, 1626, 476, 5002, 269, 31634, 454, 3086, 1413, 693, 513, 3349, 585, 875, 1082, 13532, 476, 10436, 269, 279, 6550, 780, 303, 2432, 18741, 9999, 18741, 9999, 630, 1037, 539, 1055, 547, 1079, 8918, 4025, 454, 10436, 269, 279, 476, 271, 269, 28526, 30020, 4391, 476, 271, 269, 3393, 692, 3086, 596, 917, 875, 1082, 476, 10436, 269, 279, 4846, 547, 7273, 543, 875, 1082, 13532, 476, 10436, 269, 279, 11013, 267, 865, 649, 666, 1847, 593, 547, 519, 476, 10436, 269, 279, 4846, 547, 7273, 4542, 780, 10436, 269, 279, 4846, 547, 6550, 692, 2414, 6460, 476, 10436, 269, 279, 4846, 547, 721, 7273, 513, 4542, 568, 2877, 269, 1284, 616, 2469, 547, 1397, 596, 513, 4542, 538, 1079, 1114, 8747, 269, 2913, 779, 1376, 609, 519, 1101, 835, 1384, 10831, 540, 13532, 2608, 476, 273, 269, 14225, 25118, 7830, 815, 519, 476, 4489, 269, 3607, 272, 25838, 275, 1626, 1267, 538, 6550, 692, 763, 1101, 4542, 786, 2285, 596, 519, 1034, 3169, 6364, 269, 6884, 1256, 519, 10545, 3017, 666, 581, 9645, 269, 1924, 952, 596, 1616, 547, 1205, 606, 3169, 6364, 910, 713, 4528, 540, 513, 4542, 786, 581, 519, 1655, 585, 596, 270, 641, 5406, 547, 917, 875, 1082, 6550, 616, 6697, 547, 476, 10436, 269, 279, 11304, 780, 3383, 1577, 779, 1847, 593, 547, 519, 13272, 337, 4528, 540, 513, 4542, 267, 799, 849, 6087, 9273, 547, 917, 875, 1454, 476, 10436, 269, 279, 11304, 538, 6550, 780, 763, 1776, 4528, 540, 513, 4542, 568, 1524, 2630, 267, 723, 513, 1413, 1384, 10831, 540, 13532, 2608, 476, 273, 269, 273, 815, 519, 6364, 538, 6550, 692, 2026, 596, 1294, 267, 713, 4528, 568, 12863, 269, 898, 1223, 581, 1732, 4781, 952, 596, 991, 547, 1118, 513, 7503, 540, 476, 10436, 269, 279, 11304, 547, 6550, 538, 3728, 1259, 267, 585, 1383, 267, 1282, 10918, 269, 1411, 1152, 991, 547, 3314, 602, 3803, 6364, 786, 581, 711, 865, 4977, 780, 3086, 649, 616, 2469, 547, 1397, 596, 891, 1079, 12596, 538, 2259, 269, 1809, 1354, 649, 786, 1118, 513, 7503, 540, 476, 10436, 269, 279, 4846, 547, 7273, 649, 616, 2469, 547, 1397, 596, 1776, 1259, 547, 917, 476, 10436, 269, 279, 4846, 547, 875, 1082, 7273, 1510, 1022, 4674, 780, 10436, 269, 279, 4846, 547, 7273, 20303, 692, 2304, 4443, 1259, 547, 1451, 1018, 568, 476, 10436, 269, 279, 11304, 3160, 547, 538, 6550, 568, 547, 946, 476, 10436, 269, 279, 4846, 7273, 9498, 269, 1548, 568, 513, 4846, 547, 18470, 20303, 2496, 3519, 591, 614, 568, 606, 3498, 269, 18185, 568, 1759, 593, 1101, 4528, 540, 513, 4542, 799, 649, 4951, 596, 538, 519, 3105, 851, 540, 713, 2376, 269, 8729, 547, 476, 10436, 269, 279, 4846, 11013, 9498, 596, 666, 4674, 1652, 6460, 476, 10436, 269, 279, 4846, 547, 7273, 269, 3807, 4283, 2179, 540, 13532, 799, 596, 991, 547, 5173, 543, 4945, 2048, 935, 3200, 685, 7735, 269, 634, 1267, 786, 581, 3254, 538, 513, 2034, 780, 3383, 1577, 779, 2119, 547, 5173, 476, 10436, 269, 279, 4846, 883, 7273, 1210, 476, 10436, 269, 279, 4846, 5288, 11013, 9498, 269, 1284, 9411, 476, 10436, 269, 279, 607, 606, 2179, 540, 13532, 269, 898, 568, 519, 1267, 281, 476, 10436, 269, 279, 11304, 815, 476, 4489, 269, 3607, 272, 25838, 275, 1626, 6550, 780, 2026, 596, 666, 1294, 267, 713, 476, 10436, 269, 279, 4846, 5288, 7273, 9498, 568, 865, 3274, 547, 946, 780, 3086, 1577, 779, 1847, 593, 547, 938, 8783, 1888, 910, 875, 547, 6460, 476, 10436, 269, 279, 13532, 547, 6550, 593, 707, 1378, 780, 10436, 269, 279, 4846, 547, 7273, 7503, 692, 2171, 786, 1376, 476, 10436, 269, 279, 11304, 11224, 547, 875, 1082, 6550, 7503, 609, 519, 1101, 4528, 540, 513, 4542, 547, 1205, 519, 1034, 4977, 6364, 269, 589, 2656, 12576, 540, 513, 4542, 1384, 8649, 870, 540, 13532, 2608, 476, 273, 269, 14225, 25118, 7830, 815, 476, 4489, 269, 3607, 272, 25838, 275, 1626, 519, 1267, 538, 6550, 692, 3383, 1018, 723, 596, 798, 547, 1451, 875, 1082, 6550, 3160, 547, 476, 10436, 269, 279, 11304, 286, 3807, 9062, 2179, 540, 13532, 267, 713, 942, 476, 10436, 269, 279, 267, 676, 476, 273, 269, 14225, 25118, 7830, 269, 898, 568, 4010, 476, 4489, 269, 3607, 272, 25838, 275, 1626, 269, 1924, 476, 10436, 269, 279, 11304, 568, 3160, 476, 4489, 269, 3607, 272, 25838, 275, 1626, 780, 2005, 568, 849, 2009, 547, 5180, 621, 1055, 267, 585, 1383, 267, 547, 1079, 8918, 4025, 269, 898, 3947, 476, 273, 269, 736, 269, 1924, 476, 10436, 269, 279, 11304, 815, 476, 5002, 269, 31634, 6550, 780, 2005, 568, 942, 585, 606, 1383, 689, 4948, 1272, 269, 2913, 779, 5173, 476, 10436, 269, 279, 4846, 4154, 538, 6550, 269, 1924, 476, 10436, 269, 279, 4846, 3160, 547, 875, 1082, 7273, 286, 1306, 538, 519, 3105, 1383, 910, 9062, 476, 10436, 269, 279, 676, 476, 273, 269, 14225, 25118, 7830, 269, 898, 568, 3160, 476, 4489, 269, 3607, 272, 25838, 275, 1626, 269, 1924, 6697, 540, 476, 10436, 269, 279, 13532, 547, 6550, 267, 952, 621, 2501, 547, 4154, 267, 568, 476, 4489, 269, 3607, 272, 25838, 275, 1626, 780, 1103, 713, 2013, 621, 568, 849, 2009, 547, 5180, 1055, 519, 1267, 269, 898, 568, 519, 1267, 1310, 24263, 1055, 267, 713, 942, 547, 835, 8918, 1747, 910, 476, 10436, 269, 279, 11304, 476, 5002, 269, 9834, 6550, 780, 3086, 649, 616, 2469, 547, 1806, 10736, 1210, 513, 2110, 4528, 540, 513, 4542, 780, 1692, 1082, 476, 10436, 269, 279, 4846, 547, 7273, 692, 6524, 649, 1397, 596, 606, 1383, 910, 513, 2656, 12576, 540, 10156, 4542, 1384, 10831, 540, 13532, 2608, 476, 273, 269, 273, 815, 476, 5002, 269, 9834, 519, 1267, 538, 6550, 692, 3383, 476, 10436, 269, 279, 4846, 3160, 547, 875, 1454, 7273, 286, 1306, 538, 519, 3105, 1383, 596, 991, 547, 9062, 1297, 540, 11304, 267, 538, 713, 2013, 476, 10436, 269, 279, 267, 676, 476, 273, 269, 273, 269, 6733, 281, 476, 10436, 269, 279, 2608, 476, 273, 269, 273, 815, 476, 5002, 269, 9834, 269, 1924, 476, 10436, 269, 279, 11304, 568, 476, 273, 269, 273, 6550, 780, 4131, 779, 1118, 1776, 7503, 1210, 13272, 337, 4528, 540, 513, 4542, 269, 3767, 6460, 1945, 689, 4948, 1272, 267, 585, 3236, 267, 476, 10436, 269, 279, 4846, 547, 7273, 2597, 540, 22229, 780, 3383, 1577, 779, 5173, 910, 476, 10436, 269, 279, 11304, 540, 22229, 2608, 476, 273, 269, 273, 815, 476, 5002, 269, 9834, 6550, 540, 22229, 269, 1924, 476, 10436, 269, 279, 4846, 547, 11013, 2527, 568, 4010, 476, 5002, 269, 9834, 780, 2252, 596, 917, 875, 1454, 568, 476, 10436, 269, 279, 11304, 2597, 538, 6550, 543, 666, 5173, 621, 1210, 1079, 1114, 12596, 267, 649, 666, 1847, 593, 269, 3767, 649, 1616, 547, 1397, 596, 891, 4093, 538, 7515, 780, 3519, 3200, 476, 10436, 269, 279, 11304, 547, 6550, 692, 2171, 616, 3222, 602, 4093, 4843, 538, 7515, 616, 865, 1454, 20501, 585, 1034, 540, 596, 269, 1284, 1174, 621, 267, 865, 649, 10356, 782, 891, 4093, 538, 12125, 585, 707, 13418, 269, 9603, 547, 713, 596, 666, 3362, 5635, 476, 10436, 269, 279, 4846, 6697, 547, 7273, 2164, 780, 24375, 609, 513, 476, 10436, 269, 279, 4846, 11224, 7273, 3349, 585, 519, 1101, 4528, 540, 513, 4542, 1384, 298, 559, 9999, 623, 2432, 623, 2432, 630, 12898, 24263, 1055, 547, 1079, 8918, 4025, 994, 10436, 269, 279, 476, 4489, 269, 3607, 272, 25838, 275, 1626, 476, 5002, 269, 31634, 692, 4517, 1631, 723, 513, 1413, 693, 476, 10436, 269, 279, 4846, 3160, 11013, 3349, 585, 519, 2034, 4528, 540, 513, 4542, 1384, 298, 559, 9999, 623, 2432, 454, 10436, 269, 279, 476, 5002, 269, 9834, 692, 2026, 596, 666, 1294, 267, 1310, 24263, 1055, 267, 952, 621, 2501, 547, 875, 1454, 476, 10436, 269, 279, 11304, 11224, 6550, 267, 519, 4093, 616, 711, 1114, 269, 634, 8273, 2179, 519, 811, 1713, 3017, 269, 5901, 621, 538, 2247, 950, 596, 1616, 547, 1118, 8273, 1297, 982, 476, 10436, 269, 279, 13532, 6550, 7503, 780, 1692, 1082, 13532, 476, 10436, 269, 279, 11013, 692, 3086, 596, 4121, 875, 547, 6460, 476, 10436, 269, 279, 13532, 875, 1454, 6550, 855, 649, 616, 2469, 547, 1397, 596, 1945, 811, 269, 1684, 596, 1616, 547, 917, 1018, 621, 568, 286, 1548, 798, 596, 2161, 827, 476, 10436, 269, 279, 11304, 547, 6550, 543, 13728, 9819, 2496, 2171, 786, 1397, 596, 875, 596, 666, 6460, 621, 1900, 676, 1900, 269, 2913, 779, 1376, 269, 1215, 1454, 568, 476, 10436, 269, 279, 4846, 538, 7273, 543, 12063, 2496, 5575, 1919, 1101, 910, 596, 991, 547, 9062, 2179, 540, 13532, 267, 538, 713, 2013, 476, 10436, 269, 279, 267, 676, 476, 273, 269, 14225, 25118, 7830, 269, 1924, 476, 10436, 269, 279, 2608, 476, 273, 269, 14225, 25118, 7830, 815, 476, 4489, 269, 3607, 272, 25838, 275, 1626, 269, 2290, 11304, 568, 3160, 476, 273, 269, 14225, 25118, 7830, 6550, 780, 763, 8870, 851, 568, 1297, 540, 6550, 269, 1924, 538, 713, 1383, 972, 616, 476, 273, 6550, 780, 2414, 2638, 875, 1454, 476, 10436, 269, 279, 11304, 568, 3160, 547, 6550, 543, 13728, 596, 723, 547, 9062, 6824, 851, 676, 476, 1626, 269, 1924, 9062, 476, 14225, 25118, 7830, 676, 476, 1626, 269, 898, 568, 3160, 476, 27628, 31256, 4572, 13728, 780, 3383, 707, 6364, 568, 476, 273, 6550, 543, 476, 27628, 31256, 4572, 13728, 269, 898, 568, 849, 2009, 547, 5180, 1055, 13728, 267, 585, 3236, 267, 547, 1079, 4025, 269, 3973, 707, 1267, 786, 581, 4010, 476, 273, 6550, 543, 476, 3451, 13728, 780, 2026, 596, 666, 1294, 267, 9819, 476, 10436, 269, 279, 11304, 538, 6550, 543, 13728, 3833, 3274, 780, 763, 2063, 9819, 799, 649, 616, 2469, 547, 1397, 596, 568, 9819, 540, 476, 10436, 269, 279, 3723, 6550, 547, 13532, 7397, 269, 5637, 540, 873, 616, 4559, 540, 960, 780, 2414, 5173, 621, 621, 568, 2877, 1776, 4542, 269, 6969, 649, 2285, 596, 621, 267, 1577, 779, 1294, 1384, 1892, 476, 10436, 269, 279, 13532, 7397, 815, 476, 278, 269, 22001, 25320, 5952, 3723, 6550, 2676, 1892, 476, 10436, 269, 279, 3723, 6550, 815, 476, 271, 269, 15946, 22724, 4817, 13532, 7397, 780, 3086, 1577, 779, 1294, 513, 4542, 1384, 10831, 10611, 24655, 292, 2211, 28829, 540, 3723, 6550, 2608, 476, 271, 269, 15946, 22724, 4817, 815, 519, 6364, 538, 13532, 7397, 692, 3383, 547, 6460, 476, 10436, 269, 279, 3723, 6550, 547, 13532, 7397, 596, 723, 547, 9062, 476, 10436, 269, 279, 676, 476, 271, 269, 15946, 22724, 4817, 269, 898, 568, 4010, 476, 271, 269, 15946, 22724, 4817, 269, 1924, 476, 10436, 269, 279, 3723, 6550, 568, 3160, 476, 271, 269, 15946, 22724, 4817, 11304, 7397, 780, 2005, 568, 849, 2009, 547, 5180, 1055, 713, 1267, 267, 585, 1383, 267, 547, 1079, 8918, 4025, 269, 3973, 476, 10436, 269, 279, 3723, 6550, 568, 4010, 476, 271, 269, 1691, 11304, 7397, 780, 2171, 4126, 602, 713, 7503, 729, 607, 2653, 607, 476, 10436, 269, 279, 11304, 883, 6550, 24740, 780, 2171, 4951, 596, 711, 1152, 875, 547, 798, 513, 9819, 476, 10436, 269, 279, 11304, 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 ]

[ 4994, 338, 454, 453, 321, 8548, 7491, 815, 476, 271, 454, 22610, 1775, 538, 897, 912, 453, 14851, 1775, 2652, 630, 340, 268, 272, 2187, 4848, 453, 321, 8548, 7491, 6834, 476, 272, 454, 453, 28134, 314, 992, 267, 897, 316, 6834, 476, 272, 454, 16596, 2551, 267, 536, 8548, 7491, 692, 3698, 2638, 10734, 523, 1030, 2772, 8548, 16615, 9638, 641, 1637, 267, 579, 2187, 453, 12163, 453, 6635, 7714, 912, 453, 453, 28134, 281, 630, 31596, 269, 526, 6783, 264, 3337, 562, 265, 340, 267, 562, 2043, 543, 579, 4609, 454, 453, 453, 340, 281, 630, 842, 264, 1297, 540, 4609, 1641, 547, 13592, 538, 1142, 1367, 454, 453, 14303, 5281, 912, 453, 453, 8161, 540, 6225, 15817, 6241, 585, 30651, 610, 2530, 267, 1376, 689, 476, 271, 454, 453, 12163, 453, 17754, 22674, 338, 815, 2551, 18020, 579, 281, 2639, 453, 333, 815, 2551, 17482, 314, 271, 316, 476, 1948, 1297, 540, 9343, 1775, 4318, 269, 2043, 22322, 453, 258, 476, 272, 269, 30651, 281, 6241, 782, 1875, 25179, 454, 453, 258, 476, 273, 269, 2530, 281, 6241, 782, 4642, 454, 453, 13765, 24624, 815, 1649, 22674, 338, 11203, 476, 271, 1948, 952, 519, 3135, 711, 3160, 547, 4642, 267, 2132, 6936, 282, 3116, 678, 583, 1248, 8771, 454, 453, 13765, 23544, 815, 5286, 27904, 263, 13765, 24624, 267, 7852, 284, 271, 264, 1948, 1293, 1297, 540, 6936, 585, 1142, 9587, 630, 17754, 1030, 2772, 15817, 994, 453, 25785, 22674, 815, 5286, 269, 3602, 263, 13765, 23544, 2525, 333, 25011, 271, 316, 476, 1948, 1109, 25785, 566, 6241, 4994, 454, 453, 32221, 22674, 815, 5286, 269, 3602, 263, 13765, 23544, 2525, 271, 25011, 271, 316, 567, 1948, 2530, 6241, 4994, 454, 14851, 4368, 22674, 25915, 3436, 476, 271, 912, 453, 453, 28134, 18020, 4368, 22674, 266, 340, 316, 815, 476, 271, 454, 16596, 2551, 267, 4368, 22674, 267, 17485, 22674, 7531, 258, 815, 25275, 7529, 4499, 2525, 23751, 258, 5542, 11664, 521, 454, 258, 815, 25275, 7529, 4499, 2525, 284, 692, 18528, 5334, 815, 5286, 15126, 8443, 271, 269, 4905, 267, 476, 271, 269, 4962, 267, 476, 271, 269, 272, 267, 476, 271, 269, 276, 267, 476, 271, 269, 279, 267, 476, 272, 267, 476, 273, 20285, 327, 1301, 995, 5334, 815, 5286, 15126, 8443, 268, 271, 269, 279, 267, 910, 271, 269, 277, 267, 910, 271, 269, 275, 267, 910, 271, 269, 273, 267, 910, 271, 269, 272, 267, 910, 271, 269, 4962, 267, 910, 271, 269, 4905, 267, 910, 271, 269, 9826, 20285, 4289, 7272, 6958, 1460, 815, 32582, 1948, 1592, 540, 5506, 540, 30651, 1851, 1114, 5542, 14170, 454, 4289, 7272, 9078, 1601, 815, 32582, 1948, 1592, 540, 5506, 540, 2530, 1851, 1114, 5542, 14170, 692, 1721, 521, 538, 886, 5334, 912, 258, 585, 521, 538, 5739, 5334, 912, 453, 258, 476, 272, 269, 1039, 1101, 6225, 15817, 454, 453, 258, 476, 272, 269, 272, 1948, 1039, 513, 1007, 6241, 585, 519, 1101, 6225, 15817, 3135, 454, 453, 14140, 10734, 523, 1030, 2772, 5334, 924, 815, 5286, 25910, 3799, 267, 546, 6943, 815, 703, 994, 453, 258, 476, 272, 269, 273, 1039, 621, 883, 2551, 454, 453, 16647, 815, 5286, 269, 26383, 14067, 871, 9230, 28134, 267, 1101, 10734, 523, 1030, 2772, 5334, 924, 4917, 453, 321, 815, 476, 272, 1948, 1297, 540, 2698, 6225, 13592, 454, 453, 329, 815, 476, 272, 454, 453, 5503, 15461, 6958, 1460, 815, 15079, 1948, 1883, 568, 536, 282, 1871, 568, 942, 547, 1205, 6378, 454, 453, 5503, 15461, 9078, 1601, 815, 15079, 1948, 1883, 568, 536, 282, 1871, 568, 942, 547, 1205, 4503, 454, 453, 20135, 10734, 8548, 7491, 815, 476, 271, 1948, 2698, 1297, 540, 6225, 13592, 5949, 454, 453, 6112, 795, 10922, 575, 912, 453, 453, 258, 476, 272, 269, 274, 1039, 13592, 3248, 453, 453, 11133, 8548, 7491, 815, 5286, 20179, 4877, 334, 24480, 17635, 265, 333, 16732, 340, 17070, 4297, 1948, 4397, 1297, 540, 13592, 538, 2551, 1142, 5108, 454, 453, 453, 5417, 8548, 16615, 7272, 641, 267, 536, 8548, 7491, 815, 1039, 318, 2908, 8548, 16615, 10734, 9638, 641, 267, 562, 267, 579, 17070, 267, 1003, 8548, 7491, 994, 453, 453, 20135, 10734, 8548, 7491, 6834, 536, 8548, 7491, 454, 453, 453, 258, 476, 273, 269, 1205, 15556, 585, 1985, 5108, 3248, 453, 453, 26160, 7428, 815, 1039, 8548, 16615, 7272, 641, 314, 2908, 318, 26160, 7428, 263, 5417, 8548, 16615, 7272, 641, 267, 562, 267, 579, 17070, 268, 272, 267, 521, 22708, 453, 453, 258, 476, 273, 269, 272, 946, 2638, 1599, 547, 4137, 950, 621, 3893, 6378, 610, 4503, 282, 952, 621, 1705, 267, 6460, 602, 6241, 883, 476, 271, 543, 3097, 453, 453, 16647, 267, 4368, 22674, 267, 17485, 22674, 815, 2638, 10734, 523, 1030, 2772, 8548, 16615, 263, 26160, 7428, 267, 579, 17070, 268, 272, 994, 453, 453, 258, 476, 273, 269, 273, 2594, 922, 942, 3248, 453, 453, 258, 952, 536, 8548, 7491, 3436, 476, 271, 543, 4368, 22674, 25915, 3436, 476, 271, 912, 453, 14851, 4368, 22674, 25915, 3436, 476, 271, 912, 4848, 453, 5503, 15461, 6958, 1460, 314, 321, 316, 815, 795, 1948, 1039, 942, 585, 6225, 544, 6672, 3893, 6378, 454, 4848, 453, 258, 476, 273, 269, 274, 1039, 1776, 6225, 3135, 883, 2551, 3248, 4848, 453, 2908, 10734, 523, 1030, 2772, 5334, 924, 815, 5286, 25910, 3799, 267, 546, 6943, 815, 703, 994, 4848, 453, 16647, 815, 5286, 269, 26383, 14067, 871, 9230, 16647, 267, 1007, 10734, 523, 1030, 2772, 5334, 924, 4917, 4848, 453, 321, 6834, 476, 272, 454, 453, 453, 19197, 536, 8548, 7491, 3436, 476, 271, 543, 17485, 22674, 25915, 3436, 476, 271, 912, 453, 453, 258, 8640, 17485, 22674, 25915, 3436, 476, 271, 912, 4848, 453, 5503, 15461, 9078, 1601, 314, 321, 316, 815, 795, 1948, 1039, 942, 585, 6225, 544, 6672, 3893, 4503, 3097, 4848, 453, 258, 476, 273, 269, 274, 1039, 1776, 6225, 3135, 883, 2551, 3248, 4848, 453, 2908, 10734, 523, 1030, 2772, 5334, 924, 815, 5286, 25910, 3799, 267, 546, 6943, 815, 703, 994, 4848, 453, 16647, 815, 5286, 269, 26383, 14067, 871, 9230, 16647, 267, 1007, 10734, 523, 1030, 2772, 5334, 924, 4917, 4848, 453, 321, 6834, 476, 272, 454, 453, 453, 329, 6834, 476, 272, 454, 453, 22238, 15058, 6958, 1460, 815, 7003, 263, 5503, 15461, 6958, 1460, 269, 12399, 28829, 1315, 630, 6352, 263, 5503, 15461, 6958, 1460, 269, 12399, 28829, 1341, 7003, 263, 5503, 15461, 9078, 1601, 269, 12399, 3890, 4917, 453, 22238, 15058, 9078, 1601, 815, 7003, 263, 5503, 15461, 9078, 1601, 269, 12399, 28829, 1315, 630, 6352, 263, 5503, 15461, 6958, 1460, 269, 12399, 28829, 1341, 7003, 263, 5503, 15461, 9078, 1601, 269, 12399, 3890, 4917, 453, 4289, 7272, 6958, 1460, 6910, 263, 22238, 15058, 6958, 1460, 994, 453, 4289, 7272, 9078, 1601, 6910, 263, 22238, 15058, 9078, 1601, 9239, 5814, 21267, 28272, 607, 12301, 454, 258, 4729, 454, 14808, 267, 4949, 815, 12301, 16553, 30831, 6600, 12127, 1125, 14352, 279, 267, 476, 277, 4917, 343, 267, 586, 815, 886, 5334, 267, 1592, 7272, 6958, 1460, 454, 258, 1535, 267, 586, 815, 5739, 5334, 267, 1592, 7272, 6958, 1460, 454, 1314, 19502, 3287, 267, 586, 267, 6003, 8782, 23536, 1464, 540, 30651, 5073, 343, 267, 586, 815, 886, 5334, 267, 1592, 7272, 9078, 1601, 454, 258, 1535, 267, 586, 815, 5739, 5334, 267, 1592, 7272, 9078, 1601, 454, 1314, 19502, 3287, 267, 586, 267, 6003, 8782, 23536, 1464, 540, 2530, 5073, 258, 10828, 543, 7470, 454, 1314, 26942, 263, 10401, 284, 271, 269, 274, 994, 1314, 269, 5586, 754, 4590, 258, 7852, 543, 2140, 454, 1314, 15630, 21234, 3488, 23536, 1464, 540, 30651, 543, 2530, 5073, 1314, 15630, 13448, 16932, 3488, 5353, 3005, 3213, 324, 2310, 5073, 1314, 15630, 318, 29786, 3488, 23536, 1464, 5073, 14808, 6745, 697, 9078, 599, 719, 4590, 258, 4453, 4732, 1511, 14808, 3488, 23536, 1464, 540, 30651, 543, 2530, 538, 5739, 15817, 26666, 3299, 546, 7032, 284, 4968, 267, 12001, 18989, 994, 14808, 4732, 1511, 14808, 3488, 23536, 1464, 540, 30651, 543, 2530, 538, 6225, 15817, 26666, 3299, 546, 7032, 284, 4968, 267, 12001, 18989, 994, 1410, 527, 10797, 258, 815, 25275, 7529, 4499, 2525, 23751, 258, 18140, 676, 21267, 454, 258, 815, 25275, 7529, 4499, 2525, 23751, 5814, 21267, 28272, 607, 12301, 454, 258, 4729, 454, 14808, 267, 4949, 815, 12301, 16553, 30831, 6600, 12127, 1125, 14352, 279, 267, 476, 277, 4917, 343, 267, 586, 815, 2039, 14116, 1070, 15817, 26000, 326, 454, 1314, 19502, 3287, 267, 586, 267, 6003, 8782, 10831, 540, 21540, 2958, 908, 631, 20706, 5073, 258, 10828, 543, 7470, 454, 1314, 26942, 263, 10401, 284, 271, 269, 274, 994, 1314, 269, 5586, 754, 4590, 258, 7852, 543, 2140, 454, 1314, 15630, 21234, 6600, 262, 16954, 1637, 540, 2715, 333, 348, 10572, 2715, 340, 348, 26317, 267, 631, 16615, 15580, 2715, 341, 9574, 2715, 326, 348, 9198, 725, 5073, 1314, 15630, 13448, 16932, 3488, 7049, 3130, 5073, 1314, 15630, 318, 29786, 3488, 10831, 540, 21540, 2958, 908, 631, 20706, 5073, 14808, 6745, 697, 9078, 599, 719, 4590, 14808, 4732, 1511, 14808, 3488, 10831, 540, 631, 20706, 21540, 2958, 908, 2412, 26666, 3299, 546, 7032, 284, 4968, 267, 12001, 18989, 994, 258, 4453, 4732, 1511, 14808, 3488, 16344, 17575, 15005, 3299, 12001, 18989, 994, 258, 4453, 4732, 1511, 14808, 3488, 16344, 17575, 4732, 341, 326, 3299, 12001, 18989, 994, 1410, 527, 10797, 258, 815, 25275, 7529, 4499, 2525, 23751, 258, 1439, 454, 258, 815, 25275, 7529, 4499, 2525, 284, 7531, 258, 1820, 6357, 994, 258, 1820, 263, 5503, 15461, 6958, 1460, 994, 258, 1820, 263, 5503, 15461, 9078, 1601, 994, 258, 1611, 22710, 6958, 1460, 815, 2040, 263, 5503, 15461, 6958, 1460, 269, 11161, 28829, 1315, 7003, 263, 5503, 15461, 6958, 1460, 269, 12399, 15405, 258, 1611, 22710, 9078, 1601, 815, 2040, 263, 5503, 15461, 9078, 1601, 269, 11161, 28829, 1315, 7003, 263, 5503, 15461, 9078, 1601, 269, 12399, 15405, 258, 1820, 263, 11743, 22710, 6958, 1460, 994, 258, 1820, 263, 11743, 22710, 9078, 1601, 994, 258, 2625, 15058, 6958, 1460, 815, 7003, 263, 5503, 15461, 6958, 1460, 269, 12399, 28829, 1315, 2698, 10734, 8548, 7491, 454, 258, 2625, 15058, 9078, 1601, 815, 7003, 263, 5503, 15461, 9078, 1601, 269, 12399, 28829, 1315, 2698, 10734, 8548, 7491, 454, 258, 1820, 263, 22238, 15058, 6958, 1460, 994, 258, 1820, 263, 22238, 15058, 9078, 1601, 994, 0, 5228, 521, 21683, 269, 25363, 7757, 12218, 525, 1104, 27661, 5228, 521, 21683, 10422, 641, 1637, 1104, 15510, 454, 5228, 14541, 12201, 1104, 3252, 607, 1187, 7531, 5035, 661, 288, 24998, 2187, 825, 5727, 1607, 1362, 568, 519, 7127, 1448, 547, 519, 11056, 540, 519, 5690, 780, 825, 5900, 1026, 2373, 912, 1038, 1295, 325, 684, 630, 10818, 2567, 9577, 1031, 547, 5173, 519, 8516, 540, 513, 11646, 563, 1038, 23451, 630, 4289, 2567, 1230, 13935, 519, 5934, 543, 5021, 2418, 602, 1142, 4756, 666, 1491, 689, 513, 11134, 454, 2018, 3070, 563, 1038, 2551, 630, 16954, 1637, 2567, 8629, 799, 3568, 513, 1592, 540, 25450, 563, 1038, 1655, 318, 2102, 727, 630, 7049, 727, 2567, 8838, 2711, 3070, 7229, 676, 519, 5690, 563, 692, 825, 1488, 7714, 912, 1038, 1295, 325, 684, 318, 630, 10818, 2567, 634, 1599, 547, 581, 1305, 563, 1038, 23451, 318, 630, 4289, 2567, 5903, 540, 2418, 547, 581, 1305, 563, 1038, 533, 15481, 630, 842, 2567, 26228, 2450, 540, 938, 2551, 563, 825, 29185, 825, 1219, 6449, 8181, 9191, 1345, 267, 1295, 325, 684, 318, 267, 23451, 318, 267, 533, 15481, 2187, 1038, 1582, 269, 2381, 325, 684, 815, 1295, 325, 684, 29390, 1038, 1582, 12500, 2432, 815, 23451, 29390, 1038, 1582, 21014, 1637, 815, 15510, 263, 2381, 325, 684, 318, 267, 23451, 318, 267, 533, 15481, 994, 1038, 1582, 12500, 652, 318, 2102, 727, 815, 7183, 692, 825, 1219, 2196, 4311, 267, 23200, 2187, 1038, 5727, 305, 12584, 519, 27018, 12472, 5690, 780, 1038, 1488, 7714, 912, 2018, 23200, 630, 842, 2567, 7089, 540, 23200, 547, 581, 1500, 676, 519, 5690, 563, 1038, 8173, 1038, 1948, 1820, 6600, 262, 6524, 24097, 333, 2715, 1345, 21014, 1637, 4153, 333, 5073, 1038, 1948, 1582, 12500, 652, 4590, 1038, 1948, 1820, 6600, 262, 16032, 32081, 1354, 281, 2715, 1345, 12500, 652, 318, 2102, 727, 15126, 9574, 8516, 28121, 1345, 12500, 652, 318, 2102, 727, 8807, 5893, 348, 1412, 2020, 1038, 4573, 1807, 815, 11969, 272, 300, 16615, 23330, 1807, 4311 ]

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

[ 536, 684, 687, 267, 18200, 517, 779, 29648, 320, 543, 2030, 541, 535, 30913, 4345, 563, 8253, 1152, 1281, 9849, 1164, 31623, 5781, 723, 2942, 2360, 593, 519, 3952, 267, 519, 1964, 540, 519, 1560, 666, 7985, 607, 1134, 269, 634, 19704, 267, 835, 540, 519, 1034, 1271, 10549, 538, 519, 3003, 1560, 267, 666, 581, 4299, 676, 9849, 1164, 31623, 269, 4400, 31623, 666, 2014, 519, 19704, 547, 3251, 18761, 782, 519, 942, 269, 4746, 267, 621, 666, 2014, 873, 547, 18846, 5594, 27808, 607, 1134, 269, 24930, 3494, 602, 2021, 666, 7985, 689, 30169, 2663, 538, 1272, 1317, 540, 7683, 6972, 899, 538, 1164, 31623, 269, 1635, 12145, 519, 2067, 5163, 540, 519, 3723, 1282, 6972, 267, 1164, 31623, 849, 2014, 606, 2799, 538, 2566, 593, 519, 19704, 563, 20118, 267, 1164, 31623, 666, 2014, 519, 1394, 547, 979, 856, 540, 12972, 269, 1403, 1164, 31623, 616, 12816, 7683, 267, 519, 12636, 779, 2702, 547, 10110, 8710, 666, 2014, 4797, 1394, 1928, 269, 1358, 666, 14771, 519, 31175, 540, 519, 2539, 1394, 267, 543, 666, 936, 2224, 519, 1394, 6091, 563, 4913, 267, 713, 568, 711, 547, 2161, 602, 1164, 31623, 666, 2760, 581, 12816, 269, 1403, 12816, 12212, 543, 711, 1419, 267, 789, 786, 711, 2014, 3978, 2042, 269, 1358, 1058, 711, 581, 12816, 1169, 1554, 269, 898, 779, 1271, 547, 5957, 873, 16434, 569, 547, 2057, 519, 1279, 3856, 2168, 1072, 2042, 540, 519, 3952, 267, 19704, 267, 17094, 956, 267, 543, 1394, 5018, 1657, 563, 3891, 601, 838, 2720, 1034, 4122, 1267, 950, 7513, 12074, 593, 519, 1394, 540, 519, 3723, 1141, 519, 24933, 568, 269, 1358, 949, 849, 581, 519, 1267, 540, 1507, 15998, 540, 5642, 8840, 1055, 540, 835, 3296, 540, 519, 3723, 543, 1140, 2286, 547, 519, 1394, 540, 519, 3723, 269, 1261, 601, 838, 2720, 666, 849, 581, 5642, 2208, 593, 519, 1394, 540, 519, 3723, 269, 1879, 713, 568, 519, 2013, 267, 519, 5642, 2208, 11148, 547, 1332, 538, 519, 4287, 540, 519, 2895, 540, 519, 3723, 563, 3891, 601, 838, 2720, 616, 1034, 4122, 8995, 538, 4587, 2043, 269, 8479, 518, 2043, 849, 7985, 689, 24933, 838, 2720, 267, 855, 519, 1928, 2404, 609, 519, 2783, 2356, 14556, 5809, 538, 10172, 269, 1261, 601, 838, 2720, 723, 519, 12402, 547, 1102, 12787, 513, 1390, 4308, 540, 1928, 269, 634, 24933, 27513, 3294, 267, 2705, 267, 568, 711, 2141, 519, 2014, 540, 519, 1928, 269, 1261, 601, 838, 2720, 616, 1419, 2404, 609, 2030, 541, 535, 30913, 4345, 563, 763, 1928, 602, 568, 2404, 609, 24933, 838, 2720, 666, 581, 14360, 547, 519, 11093, 540, 2597, 593, 519, 3952, 269, 1306, 519, 1367, 6763, 610, 15211, 267, 741, 2597, 568, 5116, 593, 519, 3952, 267, 4929, 519, 24933, 27513, 547, 2046, 593, 543, 1093, 651, 519, 824, 7633, 543, 8031, 538, 519, 3952, 269, 901, 949, 1267, 538, 4049, 1928, 269, 1306, 519, 2783, 5170, 547, 6414, 519, 8031, 538, 519, 3952, 786, 1831, 13035, 543, 22350, 6213, 563, 2252, 596, 610, 2576, 596, 917, 568, 7092, 689, 24933, 838, 2720, 543, 741, 1644, 1928, 267, 972, 616, 513, 1297, 540, 5574, 547, 1413, 547, 269, 1452, 5574, 2039, 689, 11955, 267, 6391, 267, 543, 16909, 5574, 269, 2290, 540, 519, 14724, 2081, 547, 8897, 519, 1928, 543, 9636, 540, 24933, 1928, 568, 547, 946, 2027, 3723, 7028, 269, 1452, 1202, 3421, 616, 5116, 2047, 538, 519, 1367, 781, 10887, 269, 1358, 14867, 519, 1928, 543, 8082, 602, 568, 5116, 593, 519, 3723, 676, 5356, 513, 2571, 15074, 14950, 585, 519, 2597, 547, 581, 14961, 7856, 1510, 4929, 1928, 563, 2467, 616, 849, 513, 1297, 540, 5751, 602, 930, 3494, 949, 14867, 610, 2965, 9258, 24933, 27513, 2208, 543, 3247, 519, 1928, 269, 2290, 3635, 814, 519, 3440, 540, 519, 3723, 1996, 519, 3774, 1247, 3666, 568, 9738, 593, 519, 24933, 540, 519, 3723, 269, 634, 1367, 1287, 10593, 741, 2597, 2509, 519, 3774, 267, 4929, 513, 27012, 540, 519, 24933, 27513, 269, 4033, 5751, 543, 21018, 949, 849, 581, 5340, 602, 666, 948, 3138, 4923, 543, 6001, 6091, 543, 28844, 538, 519, 3952, 267, 17212, 1324, 1928, 269, 16792, 4672, 24502, 543, 2921, 4550, 13611, 6646, 949, 849, 948, 269, 13957, 10943, 6493, 949, 581, 12816, 1247, 12008, 547, 1832, 519, 3723, 21401, 856, 267, 799, 949, 1118, 519, 3723, 1447, 11213, 538, 519, 6640, 563, 294, 719, 267, 3335, 1336, 538, 15847, 2550, 267, 568, 606, 29099, 11213, 1106, 540, 12263, 3361, 676, 11506, 2157, 540, 579, 878, 3679, 538, 519, 18072, 269, 634, 2783, 3335, 16716, 519, 2462, 4745, 593, 519, 2462, 23179, 269, 898, 814, 849, 1044, 1634, 547, 10880, 519, 19704, 267, 1714, 28647, 267, 11263, 267, 17094, 956, 543, 21389, 1235, 1765, 10090, 958, 9170, 602, 814, 513, 8647, 267, 3001, 4745, 563, 763, 1164, 1377, 540, 579, 878, 3679, 538, 513, 1268, 779, 18072, 5932, 519, 2783, 1634, 607, 5409, 584, 545, 9047, 9789, 1292, 2014, 540, 30456, 269, 18726, 32739, 4386, 538, 8370, 856, 540, 4557, 24412, 269, 634, 1453, 540, 3237, 945, 7985, 30456, 786, 723, 513, 1079, 538, 4557, 4960, 540, 3384, 519, 2783, 607, 1134, 563, 1607, 1106, 540, 12263, 267, 1373, 3226, 11213, 267, 568, 519, 31629, 579, 878, 3679, 16358, 1944, 538, 519, 1973, 6908, 269, 634, 16358, 1242, 579, 878, 3679, 1287, 12599, 547, 519, 2230, 1063, 10549, 1141, 789, 6299, 267, 4929, 11508, 950, 519, 3461, 7575, 269, 12580, 1331, 281, 1928, 267, 25017, 267, 11926, 267, 543, 6553, 269, 16952, 2427, 2360, 949, 1331, 9854, 543, 8611, 267, 4352, 5359, 540, 891, 2360, 616, 1360, 4686, 269, 2368, 2550, 723, 4080, 602, 1928, 949, 14556, 1518, 950, 519, 2837, 12772, 267, 971, 607, 950, 596, 3207, 563, 7197, 2665, 540, 30456, 616, 3362, 8995, 676, 513, 10540, 9332, 2077, 779, 4879, 540, 519, 1585, 2589, 269, 4347, 1441, 4255, 666, 849, 581, 5340, 269, 589, 1973, 1449, 547, 3713, 11506, 2157, 540, 579, 878, 3679, 568, 1419, 1031, 607, 1134, 607, 606, 1535, 11920, 547, 13209, 7298, 543, 5312, 30456, 563, 21675, 585, 30456, 3274, 1797, 14874, 2589, 269, 6348, 268, 3122, 1355, 4550, 13611, 5061, 610, 715, 6347, 31312, 630, 8624, 577, 21778, 543, 824, 29416, 8803, 1355, 5061, 267, 3092, 4700, 786, 844, 749, 519, 25017, 267, 519, 11926, 267, 543, 519, 6553, 269, 1717, 267, 5883, 707, 2732, 267, 6197, 2242, 267, 543, 1210, 23833, 5061, 616, 782, 5363, 4724, 4628, 28530, 519, 1034, 4049, 2665, 563, 17829, 602, 1291, 606, 29680, 6197, 616, 693, 513, 2362, 1981, 585, 30456, 269, 7102, 2179, 540, 3635, 11081, 519, 5506, 540, 10956, 13341, 609, 519, 2783, 269, 26805, 707, 4616, 540, 2699, 5779, 267, 4262, 1426, 267, 543, 535, 28229, 1606, 11548, 2989, 10425, 849, 6971, 519, 10171, 540, 5312, 30456, 607, 1134, 563, 28808, 20535, 12192, 595, 267, 6995, 267, 543, 1880, 10683, 2472, 666, 948, 609, 4509, 513, 2635, 6197, 269, 1703, 616, 1007, 5061, 856, 593, 519, 2344, 602, 21391, 519, 1560, 779, 2504, 540, 579, 878, 3679, 26148, 11476, 269, 1717, 267, 4227, 610, 14874, 707, 2949, 2157, 540, 579, 878, 3679, 568, 519, 1655, 16185, 547, 4180, 596, 1291, 513, 30456, 6954, 1272, 563, 9199, 6373, 547, 519, 3723, 267, 2523, 519, 19462, 267, 666, 2049, 538, 1082, 2081, 269, 645, 4474, 873, 267, 20839, 6883, 873, 267, 610, 21177, 1945, 593, 873, 616, 513, 1906, 1114, 2081, 713, 8194, 666, 2049, 269, 9717, 519, 1249, 602, 19462, 616, 17479, 538, 4395, 540, 519, 3952, 267, 789, 3335, 2844, 519, 20015, 660, 540, 971, 8194, 269, 1879, 8194, 4386, 547, 513, 23179, 267, 519, 1267, 666, 581, 513, 11213, 2736, 610, 17795, 269, 6271, 1826, 540, 8194, 602, 666, 2736, 513, 23179, 568, 7368, 2534, 602, 4025, 2566, 593, 519, 23179, 585, 12675, 5712, 540, 942, 563, 29662, 5287, 19462, 666, 581, 19040, 607, 2901, 5634, 610, 4049, 18655, 269, 12580, 540, 5634, 23179, 18655, 1331, 31462, 25290, 1928, 267, 11926, 267, 20015, 2358, 593, 519, 2960, 543, 547, 523, 841, 267, 543, 519, 17418, 547, 1847, 519, 23179, 609, 8897, 269, 27275, 23179, 18655, 2154, 2564, 3007, 543, 616, 8612, 950, 519, 7745, 23179, 5526, 5186, 12097, 610, 771, 29664, 323, 267, 950, 972, 568, 32688, 610, 31018, 538, 519, 23179, 267, 610, 950, 972, 568, 606, 1930, 267, 11702, 10138, 1459, 593, 519, 23179, 563, 23744, 267, 513, 5634, 23179, 2736, 786, 12115, 1510, 1279, 3856, 8374, 269, 1717, 267, 621, 568, 1271, 547, 19944, 826, 2238, 602, 2322, 2604, 593, 519, 23179, 269, 898, 568, 1655, 547, 3251, 1055, 540, 519, 13676, 23179, 543, 5612, 1205, 513, 10943, 842, 610, 5641, 547, 2061, 1022, 811, 3606, 3350, 540, 519, 23179, 7633, 269, 1411, 666, 849, 1799, 984, 559, 1125, 707, 23179, 676, 11093, 513, 1507, 10412, 3440, 1063, 519, 13676, 23179, 543, 519, 23179, 22290, 621, 269, 3973, 267, 11746, 519, 1079, 19462, 1927, 609, 2564, 11746, 269, 4210, 2454, 666, 581, 10970, 7007, 676, 11093, 606, 4672, 3640, 593, 519, 7745, 23179, 2047, 607, 1134, 607, 6173, 908, 707, 3952, 1657, 707, 2212, 563, 5353, 3164, 23179, 18655, 949, 581, 5701, 609, 513, 10943, 842, 267, 5641, 267, 543, 538, 930, 2665, 267, 5634, 6391, 267, 2523, 950, 519, 2462, 23179, 814, 1044, 7745, 269, 9603, 547, 922, 2990, 543, 519, 2604, 519, 2462, 23179, 679, 706, 637, 609, 3232, 2534, 267, 2104, 8374, 666, 2049, 952, 621, 568, 711, 5265, 5701, 269, 10266, 2404, 609, 5634, 23179, 18655, 666, 581, 7307, 609, 936, 7308, 23716, 1928, 6527, 269, 3465, 5524, 1928, 6146, 619, 949, 581, 2556, 585, 4049, 23179, 18655, 563, 763, 7067, 942, 585, 513, 7745, 23179, 568, 5111, 2185, 547, 3670, 4374, 269, 769, 4049, 2665, 1141, 519, 23179, 3587, 7783, 610, 3340, 6391, 267, 7067, 942, 666, 1491, 909, 547, 5216, 4374, 610, 811, 269, 2755, 8374, 2404, 609, 513, 7745, 23179, 616, 5612, 7805, 267, 621, 568, 1271, 547, 4063, 602, 972, 616, 4686, 2665, 950, 3606, 8374, 267, 971, 607, 30169, 267, 666, 1020, 936, 942, 269, 1411, 1058, 5612, 3717, 609, 707, 10540, 9332, 2077, 952, 596, 1589, 596, 723, 7745, 707, 23179, 1813, 547, 8194, 269, 1358, 786, 581, 2111, 547, 13209, 519, 5945, 543, 4363, 519, 3617, 2126, 3681, 269, 0, 5475, 519, 12550, 2675, 8084, 2079, 267, 15998, 540, 519, 30439, 320, 267, 30439, 531, 19357, 639, 267, 1292, 543, 6281, 11487, 14024, 454, 267, 543, 9641, 941, 6569, 689, 519, 533, 926, 13926, 543, 18657, 770, 1400, 7252, 538, 741, 22623, 658, 267, 1647, 543, 1309, 644, 531, 4525, 563, 21547, 14029, 8084, 6514, 540, 15013, 689, 7783, 17944, 4951, 3573, 3834, 699, 8926, 540, 519, 7929, 8778, 267, 4553, 676, 608, 644, 622, 543, 5641, 338, 14178, 689, 519, 30439, 531, 536, 604, 584, 322, 566, 547, 519, 6281, 11487, 14024, 454, 4322, 8237, 883, 6281, 11487, 14024, 454, 267, 799, 1287, 30834, 728, 883, 7522, 518, 267, 24596, 11487, 14024, 563, 763, 3119, 19357, 639, 8371, 883, 1967, 1947, 4130, 11487, 14024, 282, 1079, 6281, 11487, 14024, 454, 26625, 569, 2011, 547, 1142, 27914, 540, 519, 1079, 2000, 984, 539, 2451, 5761, 543, 1614, 6281, 11487, 14024, 454, 338, 2925, 519, 1614, 2000, 984, 539, 1318, 5761, 563, 10376, 27914, 568, 13859, 676, 4839, 3481, 28296, 1572, 519, 19357, 658, 3529, 267, 799, 8371, 547, 1106, 1318, 543, 2451, 3119, 11487, 14024, 602, 1586, 7941, 883, 6281, 11487, 14024, 0, 763, 17692, 338, 543, 645, 7473, 338, 616, 4440, 835, 519, 1034, 30414, 1919, 538, 1483, 1272, 855, 789, 616, 2706, 3579, 538, 9185, 950, 621, 2501, 547, 12596, 269, 4653, 649, 616, 7234, 1614, 540, 17692, 2783, 12596, 602, 948, 721, 798, 590, 9331, 338, 267, 2910, 7419, 25629, 543, 20724, 2207, 17803, 338, 3362, 563, 9616, 281, 1677, 1732, 1174, 741, 3498, 594, 786, 581, 2921, 968, 27168, 892, 2338, 607, 513, 2783, 563, 22428, 596, 723, 7443, 9819, 540, 2898, 1032, 585, 1142, 3923, 269, 3371, 568, 519, 1239, 912, 2026, 596, 23691, 1294, 602, 930, 2418, 540, 14407, 7443, 616, 2318, 543, 930, 616, 2942, 543, 930, 1256, 4642, 269, 1284, 1616, 547, 912, 268, 5681, 2418, 1152, 952, 789, 616, 2318, 454, 268, 19105, 2418, 1152, 952, 789, 616, 2318, 454, 268, 4032, 2418, 1152, 952, 789, 616, 2318, 454, 306, 9331, 9281, 1107 ]

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

[ 1369, 513, 1257, 269, 1280, 3236, 267, 513, 5339, 19722, 1522, 4196, 547, 3715, 3159, 267, 782, 8775, 547, 513, 3838, 2686, 4282, 267, 610, 1711, 20451, 780, 13706, 519, 1739, 8574, 689, 9098, 26741, 325, 779, 3209, 11427, 269, 667, 9994, 599, 1384, 2108, 2690, 2348, 5030, 538, 31689, 910, 875, 1082, 1296, 1631, 286, 3683, 8938, 267, 6157, 910, 1352, 1185, 6738, 1031, 547, 3168, 856, 540, 1200, 6885, 267, 1310, 12899, 267, 2161, 267, 693, 513, 4737, 540, 4054, 282, 610, 2663, 267, 538, 519, 4832, 267, 693, 513, 10720, 540, 561, 25788, 799, 621, 729, 7543, 711, 547, 23507, 14325, 2080, 267, 26741, 325, 18271, 513, 1134, 8153, 10839, 689, 9956, 779, 17283, 12462, 2414, 555, 710, 1378, 1582, 581, 3020, 14615, 607, 22548, 20811, 1660, 525, 593, 1200, 2250, 2833, 2713, 2282, 31689, 30745, 269, 3414, 713, 5339, 782, 4288, 267, 26741, 325, 19156, 22548, 20811, 779, 22161, 8826, 2470, 1247, 8195, 9694, 1005, 2509, 519, 6249, 540, 3961, 543, 13597, 269, 589, 6101, 626, 2542, 1131, 7390, 5702, 547, 519, 2081, 538, 799, 713, 19722, 8309, 547, 519, 2949, 12716, 1764, 540, 519, 6429, 780, 275, 269, 12634, 25684, 543, 7600, 2294, 692, 4407, 6101, 1143, 8593, 856, 540, 3870, 1851, 930, 10580, 1813, 547, 9228, 28919, 1107, 12077, 267, 922, 12402, 547, 26777, 1514, 543, 3140, 8658, 1107, 621, 5170, 547, 1217, 3875, 22204, 540, 4207, 1148, 9880, 543, 2259, 269, 3509, 5159, 543, 13915, 5431, 519, 1871, 538, 11504, 5702, 547, 6101, 2609, 267, 1256, 952, 789, 6038, 3442, 547, 6451, 3606, 10850, 883, 741, 10763, 2409, 780, 13010, 267, 15594, 543, 2022, 24645, 31886, 723, 13934, 6101, 1143, 779, 7805, 10714, 540, 12790, 9739, 543, 5380, 269, 18623, 899, 22985, 27074, 932, 752, 9545, 677, 344, 1975, 643, 752, 267, 11977, 590, 4660, 267, 543, 7225, 603, 30215, 723, 11130, 3196, 2685, 585, 519, 13766, 540, 6236, 2152, 540, 1379, 267, 6041, 267, 543, 4187, 538, 1022, 2565, 6278, 609, 1148, 269, 6270, 4145, 7618, 721, 602, 1106, 543, 15312, 798, 711, 2291, 10446, 540, 3677, 1914, 19205, 3889, 780, 276, 269, 16792, 31131, 626, 5811, 692, 2026, 596, 7832, 593, 707, 3460, 998, 519, 5318, 5251, 540, 5339, 9880, 267, 1832, 538, 2247, 519, 4030, 29742, 539, 689, 6101, 626, 2079, 269, 6657, 7114, 32330, 2934, 540, 1106, 543, 2497, 1369, 5931, 267, 23827, 908, 519, 1909, 5129, 676, 1808, 5339, 3457, 267, 543, 1167, 518, 940, 519, 17271, 10096, 24829, 998, 1893, 543, 5888, 269, 5457, 267, 1932, 267, 602, 1100, 2582, 27696, 1935, 6585, 6207, 32022, 936, 1866, 282, 3079, 267, 11441, 547, 11753, 3309, 2994, 607, 3617, 267, 2870, 3638, 267, 13857, 12496, 5827, 540, 27283, 1312, 519, 5898, 543, 6988, 540, 5339, 1568, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 7078, 5220, 5339, 19722, 454, 763, 10703, 527, 2488, 513, 6174, 585, 18512, 5188, 267, 556, 10968, 711, 1152, 609, 1769, 844, 2354, 543, 5339, 19722, 267, 855, 849, 609, 5230, 7076, 7811, 4744, 31277, 593, 267, 954, 620, 807, 267, 519, 1093, 7497, 540, 3310, 563, 763, 6060, 2882, 513, 5618, 5339, 19722, 693, 519, 1376, 540, 1142, 3350, 563, 24145, 776, 24185, 616, 711, 2141, 4857, 543, 950, 789, 616, 621, 666, 581, 1510, 7160, 610, 2985, 1297, 563, 10376, 873, 539, 3184, 267, 2347, 609, 12383, 267, 7851, 267, 12222, 543, 5339, 24185, 267, 6763, 4805, 607, 513, 9910, 2173, 5237, 538, 24744, 547, 3408, 563, 6944, 9009, 547, 1018, 1082, 1004, 1589, 267, 596, 991, 9444, 513, 1390, 1702, 540, 519, 27825, 6862, 513, 2247, 6006, 539, 609, 5339, 24185, 547, 2972, 519, 11015, 781, 11029, 1399, 563, 14240, 540, 1412, 32173, 776, 262, 5339, 454, 14240, 540, 1412, 638, 21320, 262, 19722, 454, 290, 984, 4265, 2458, 23148, 5339, 19722, 267, 19584, 9904, 1227, 5339, 19722, 563, 268, 5339, 3977, 454, 268, 5339, 7613, 454, 268, 5339, 5910, 5014, 454, 268, 5339, 19722, 454, 268, 5339, 4704, 454, 268, 2148, 320, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 293, 5436, 1143, 257, 607, 851, 540, 834, 11286, 1315, 29576, 1299, 7869, 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, 1103, 713, 1770, 267, 649, 786, 1451, 827, 513, 4909, 1523, 538, 3684, 1565, 281, 10442, 519, 6111, 540, 513, 2203, 781, 11236, 269, 1284, 786, 946, 5124, 267, 513, 2442, 5752, 1893, 267, 543, 519, 11885, 5399, 585, 10230, 26398, 269, 2913, 781, 2253, 676, 16459, 519, 2556, 8021, 543, 1104, 532, 873, 883, 938, 5124, 1604, 780, 3499, 7090, 454, 256, 26921, 3888, 11885, 454, 5814, 11885, 607, 5286, 454, 7884, 3086, 267, 1577, 781, 4685, 883, 519, 1888, 269, 14597, 649, 723, 513, 10471, 5627, 1344, 827, 7314, 543, 5243, 267, 543, 649, 1616, 547, 5721, 513, 3684, 1565, 2203, 547, 19665, 2436, 513, 2016, 3239, 568, 513, 3032, 610, 513, 2915, 269, 2991, 2866, 519, 2203, 267, 649, 666, 1449, 922, 2773, 676, 8023, 621, 1007, 2592, 543, 9236, 922, 11236, 609, 519, 4890, 10297, 630, 13906, 610, 2915, 6393, 2414, 6218, 519, 2203, 781, 2773, 267, 649, 666, 946, 1585, 14573, 267, 971, 607, 6111, 267, 8856, 267, 11291, 267, 543, 674, 272, 1606, 14537, 269, 769, 713, 1770, 267, 649, 786, 1445, 593, 6111, 267, 799, 568, 519, 5223, 540, 519, 1297, 540, 2953, 11236, 547, 519, 2698, 1297, 540, 11236, 1500, 269, 7527, 1227, 267, 649, 666, 2099, 6111, 607, 5205, 1384, 16465, 20728, 346, 16914, 5596, 348, 815, 1422, 2765, 3189, 3667, 346, 10831, 540, 2953, 11236, 24828, 3667, 346, 13707, 1297, 540, 11236, 3686, 454, 9681, 4131, 781, 2328, 513, 5124, 1599, 547, 12337, 519, 6111, 540, 513, 2203, 781, 11236, 269, 1284, 786, 946, 519, 2387, 3147, 5596, 23962, 319, 1599, 689, 519, 28189, 5399, 267, 799, 3217, 1079, 7440, 281, 2387, 344, 4671, 4902, 319, 630, 1492, 3020, 10297, 264, 543, 2387, 344, 28177, 319, 630, 1492, 10567, 10297, 6393, 3499, 7090, 454, 5228, 28189, 269, 5471, 7879, 1104, 6111, 23962, 692, 3698, 12337, 318, 3147, 5596, 12169, 4671, 4902, 267, 586, 28177, 2187, 825, 8173, 825, 30770, 519, 6111, 540, 513, 2203, 781, 11236, 780, 825, 2433, 12407, 586, 4671, 4902, 281, 1592, 540, 3020, 10297, 563, 825, 2433, 12407, 586, 28177, 281, 1592, 540, 10567, 10297, 563, 825, 2433, 8873, 281, 6111, 281, 10581, 269, 634, 6111, 540, 519, 2203, 781, 11236, 563, 825, 8173, 825, 2132, 6111, 23962, 12169, 4671, 4902, 267, 586, 28177, 994, 7884, 3086, 267, 1577, 781, 1449, 938, 1599, 609, 930, 3732, 1239, 269, 14597, 649, 723, 519, 1739, 3020, 10297, 543, 10567, 10297, 585, 2947, 2592, 1384, 3499, 7090, 454, 344, 4671, 4902, 815, 1496, 272, 267, 476, 271, 267, 476, 272, 267, 476, 271, 267, 476, 272, 2639, 344, 28177, 815, 1496, 272, 267, 476, 271, 267, 476, 272, 267, 476, 272, 267, 476, 271, 2639, 7884, 2080, 267, 649, 8263, 602, 476, 272, 4564, 513, 3032, 543, 476, 271, 4564, 513, 2915, 269, 1284, 666, 1294, 602, 519, 2203, 7157, 10567, 519, 10297, 585, 519, 1101, 267, 2034, 267, 543, 3791, 2592, 855, 1500, 9073, 585, 519, 8772, 543, 11359, 2592, 269, 2913, 781, 12337, 519, 6111, 540, 519, 2203, 781, 11236, 1384, 3499, 7090, 454, 3147, 5596, 815, 12337, 318, 3147, 5596, 12169, 4671, 4902, 267, 586, 28177, 994, 2745, 6600, 257, 16914, 5596, 281, 2715, 3147, 5596, 348, 5602, 7884, 763, 3977, 1058, 581, 2387, 16914, 5596, 281, 476, 271, 269, 277, 12452, 799, 1797, 602, 519, 2203, 7157, 10567, 519, 10297, 585, 476, 2568, 260, 540, 519, 2592, 780, 3086, 267, 1577, 781, 8831, 938, 1599, 547, 12337, 519, 3328, 6111, 540, 513, 2203, 781, 11236, 936, 2789, 8255, 269, 1284, 666, 798, 713, 676, 13936, 519, 3020, 10297, 543, 10567, 10297, 585, 1142, 2196, 538, 1079, 5094, 8638, 267, 2387, 344, 4671, 4902, 319, 543, 2387, 344, 28177, 12452, 543, 1287, 6677, 22760, 908, 873, 883, 1079, 14249, 1210, 519, 2387, 12639, 26769, 13906, 523, 622, 319, 1599, 269, 7053, 267, 649, 666, 12337, 519, 6111, 540, 519, 2203, 781, 11236, 1210, 519, 2387, 3147, 5596, 23962, 319, 1599, 780, 3499, 7090, 454, 5035, 7844, 16914, 5596, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 13885, 4671, 4902, 815, 11713, 1038, 1582, 13885, 28177, 815, 29129, 825, 1219, 9337, 4311, 267, 586, 4671, 4902, 267, 586, 28177, 2187, 1038, 8173, 1038, 22352, 519, 1686, 540, 11236, 609, 519, 1699, 3020, 543, 10567, 10297, 780, 1038, 2433, 12407, 586, 4671, 4902, 281, 1592, 540, 3020, 10297, 563, 1038, 2433, 12407, 586, 28177, 281, 1592, 540, 10567, 10297, 563, 1038, 8173, 1038, 1582, 13885, 4671, 4902, 6910, 12169, 4671, 4902, 994, 1038, 1582, 13885, 28177, 6910, 12169, 28177, 2020, 825, 1219, 3328, 4311, 267, 2312, 25716, 2187, 1038, 8173, 1038, 30770, 519, 3328, 6111, 540, 519, 2203, 781, 11236, 780, 1038, 2433, 12407, 2312, 281, 536, 944, 269, 6936, 281, 2312, 519, 1686, 540, 11236, 282, 8771, 281, 798, 711, 2312, 519, 1686, 563, 1038, 2433, 8873, 281, 934, 281, 10581, 269, 634, 3328, 6111, 540, 519, 2203, 781, 11236, 563, 1038, 8173, 1038, 586, 4671, 4902, 815, 5286, 26769, 13906, 523, 622, 4311, 13885, 4671, 4902, 994, 1038, 586, 28177, 815, 5286, 26769, 13906, 523, 622, 4311, 13885, 28177, 2020, 1038, 952, 2312, 281, 1582, 269, 27234, 10797, 1038, 2132, 6111, 23962, 12169, 4671, 4902, 267, 586, 28177, 2020, 825, 1219, 2312, 4311, 2187, 1038, 8173, 1038, 13068, 519, 1686, 540, 11236, 563, 1038, 8173, 1038, 1582, 13885, 4671, 4902, 815, 11713, 1038, 1582, 13885, 28177, 815, 11713, 7884, 4131, 781, 1449, 938, 1007, 1599, 609, 930, 3732, 1239, 269, 14597, 649, 723, 519, 1739, 3020, 10297, 543, 10567, 10297, 585, 1614, 8255, 1384, 3499, 7090, 454, 16347, 318, 3147, 5596, 815, 7844, 16914, 5596, 10797, 258, 14840, 476, 272, 454, 344, 4671, 4902, 815, 1496, 272, 267, 476, 271, 267, 476, 272, 267, 476, 271, 267, 476, 272, 2639, 344, 28177, 815, 1496, 272, 267, 476, 271, 267, 476, 272, 267, 476, 272, 267, 476, 271, 2639, 16347, 318, 3147, 5596, 269, 26303, 12169, 4671, 4902, 267, 586, 28177, 2020, 258, 14840, 476, 273, 454, 344, 4671, 4902, 815, 1496, 272, 267, 476, 272, 267, 476, 271, 267, 476, 271, 267, 476, 271, 2639, 344, 28177, 815, 1496, 272, 267, 476, 272, 267, 476, 271, 267, 476, 271, 267, 476, 271, 2639, 16347, 318, 3147, 5596, 269, 26303, 12169, 4671, 4902, 267, 586, 28177, 2020, 258, 14840, 476, 274, 454, 344, 4671, 4902, 815, 1496, 271, 267, 476, 272, 267, 476, 272, 267, 476, 271, 267, 476, 272, 2639, 344, 28177, 815, 1496, 271, 267, 476, 272, 267, 476, 271, 267, 476, 272, 267, 476, 272, 2639, 16347, 318, 3147, 5596, 269, 26303, 12169, 4671, 4902, 267, 586, 28177, 2020, 258, 30770, 519, 3328, 6111, 454, 320, 2071, 318, 3147, 5596, 815, 2203, 318, 3147, 5596, 18502, 2071, 263, 27234, 18989, 994, 2745, 6600, 21202, 2071, 6111, 281, 2715, 320, 2071, 318, 3147, 5596, 348, 5602, 7884, 763, 3977, 1058, 581, 2387, 30182, 6111, 281, 476, 271, 269, 278, 3451, 18357, 18357, 18357, 18357, 274, 12452, 799, 1797, 602, 519, 2203, 7157, 10567, 519, 10297, 585, 476, 10463, 269, 274, 260, 540, 519, 2592, 593, 3328, 780, 7661, 267, 1577, 781, 2328, 513, 1599, 547, 12337, 519, 11667, 6111, 540, 513, 2203, 781, 11236, 936, 519, 2063, 737, 8255, 269, 1284, 666, 798, 713, 676, 2542, 519, 6111, 8464, 689, 513, 3758, 543, 13936, 873, 538, 513, 1592, 269, 3973, 267, 649, 666, 4990, 519, 1592, 543, 2132, 519, 11667, 1871, 780, 3499, 7090, 454, 3698, 11667, 318, 3147, 263, 3147, 18316, 267, 737, 284, 1015, 2187, 825, 8173, 825, 17776, 519, 11667, 540, 519, 2063, 737, 1130, 934, 689, 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 ]

[ 12575, 585, 3388, 281, 8239, 267, 10259, 267, 18685, 267, 2856, 2095, 267, 4845, 2497, 267, 1299, 811, 1205, 3323, 1631, 563, 288, 2947, 24733, 4588, 1557, 593, 10100, 1058, 2270, 606, 4367, 609, 513, 5098, 3948, 267, 1614, 1560, 9433, 602, 1489, 713, 5098, 543, 513, 25759, 5037, 602, 26564, 519, 1557, 781, 1292, 269, 595, 5971, 4214, 1557, 704, 2739, 10100, 568, 547, 798, 1510, 22168, 1018, 835, 1131, 581, 5827, 540, 3257, 609, 519, 1158, 3168, 593, 546, 1075, 632, 3288, 13193, 577, 325, 537, 322, 4954, 323, 269, 1879, 1603, 606, 1557, 593, 10100, 1832, 1114, 2010, 540, 15885, 538, 2247, 1934, 616, 519, 1292, 25727, 543, 4485, 563, 8702, 547, 1433, 11988, 18350, 1260, 1107, 707, 2123, 1603, 6351, 8665, 19890, 267, 10100, 3594, 2985, 568, 896, 4070, 649, 269, 11352, 10464, 1557, 281, 1655, 1747, 547, 4444, 1557, 649, 2709, 513, 2647, 3099, 540, 1603, 563, 290, 5971, 1557, 519, 8675, 713, 568, 4440, 1018, 1034, 1004, 1589, 540, 950, 789, 1589, 540, 10100, 930, 1806, 540, 713, 1826, 540, 10100, 1131, 581, 23001, 16146, 269, 0, 10932, 4574, 585, 4224, 2575, 454, 305, 1442, 2575, 729, 513, 1804, 4062, 540, 519, 4099, 12328, 540, 513, 7361, 15141, 1190, 1895, 540, 1762, 1004, 1354, 519, 5736, 540, 519, 10726, 956, 267, 1714, 6665, 1095, 2917, 1101, 3576, 4224, 562, 5066, 547, 519, 2073, 1382, 1957, 1341, 476, 272, 268, 31229, 268, 4281, 278, 268, 6812, 280, 271, 269, 3194, 4574, 593, 5929, 4224, 2575, 1382, 4574, 827, 5904, 1557, 593, 3109, 543, 3043, 10344, 547, 3314, 606, 1808, 609, 519, 18685, 547, 4482, 519, 2152, 540, 1169, 556, 743, 10719, 540, 7819, 543, 9402, 3741, 269, 10749, 910, 4102, 6538, 540, 2298, 3732, 3594, 543, 1382, 4574, 593, 1686, 540, 4224, 543, 5066, 4224, 562, 262, 5066, 1382, 2648, 267, 2575, 267, 513, 2603, 811, 5061, 267, 4586, 10932, 4574, 593, 19795, 540, 4224, 2575, 19795, 540, 4224, 2575, 1382, 1957, 6445, 856, 519, 1106, 2630, 543, 4309, 707, 5697, 1957, 1631, 269, 3194, 1957, 1383, 1557, 5401, 281, 4224, 2575, 910, 476, 11277, 272, 1913, 4063, 281, 519, 7663, 548, 1382, 1957, 610, 1557, 5401, 596, 1294, 593, 713, 2985, 568, 513, 1863, 1557, 267, 2139, 547, 4896, 596, 666, 946, 1022, 1957, 607, 513, 3732, 593, 875, 547, 2328, 1382, 1957, 267, 1557, 12987, 610, 607, 513, 2707, 540, 1344, 269, 3194, 4574, 5929, 4224, 2575, 1178, 29201, 1148, 610, 6760, 15854, 1408, 320, 1130, 1372, 17754, 17010, 905, 3691, 549, 476, 273, 267, 476, 1001, 279, 1382, 1957, 1770, 1544, 1164, 1153, 519, 1957, 948, 12662, 4061, 543, 1568, 1175, 1454, 547, 1118, 1022, 4255, 676, 267, 6791, 610, 1688, 1174, 27268, 1360, 972, 2111, 563, 763, 3310, 540, 4224, 2575, 593, 1762, 1004, 3483, 540, 1382, 547, 1451, 267, 875, 4224, 2575, 7506, 593, 1762, 1004, 4986, 2242, 1004, 779, 8741, 1431, 543, 9821, 865, 9244, 607, 2575, 269, 9412, 543, 5066, 1382, 1957, 32414, 476, 275, 267, 476, 1001, 275, 5856, 1382, 4574, 476, 271, 4224, 543, 5066, 568, 513, 9135, 540, 2442, 2575, 602, 3262, 538, 519, 4571, 268, 4198, 271, 338, 922, 1543, 568, 513, 1547, 7348, 1557, 910, 2575, 3797, 1382, 1957, 689, 1603, 476, 6200, 693, 6280, 540, 519, 9443, 7493, 281, 519, 3483, 540, 713, 1382, 1957, 568, 547, 2626, 519, 2243, 1281, 2575, 3797, 723, 513, 2318, 269, 3194, 4574, 1382, 1957, 630, 17549, 476, 28192, 274, 264, 593, 1686, 540, 2197, 2575, 281, 1282, 519, 2250, 29235, 1296, 267, 2197, 2575, 814, 8854, 998, 1082, 2242, 593, 519, 824, 1688, 267, 2197, 2575, 814, 2141, 18808, 609, 1483, 2152, 540, 3921, 1382, 1957, 476, 28192, 274, 563, 763, 4224, 2575, 568, 513, 1114, 2186, 540, 2575, 585, 4896, 547, 6432, 267, 4688, 585, 1346, 945, 2648, 621, 585, 741, 1378, 4128, 519, 9135, 3357, 883, 1373, 607, 2048, 13702, 543, 887, 1547, 5999, 827, 4224, 543, 5066, 630, 516, 14142, 1957, 264, 865, 1775, 991, 547, 2328, 513, 1382, 1957, 593, 4224, 562, 5066, 713, 1957, 1590, 2491, 4224, 562, 5066, 781, 5169, 543, 875, 621, 814, 4957, 270, 8882, 1663, 10642, 13314, 538, 519, 2250, 543, 1459, 269, 17664, 1223, 798, 930, 4282, 1382, 593, 1312, 5929, 4224, 543, 5929, 12563, 2575, 607, 789, 12936, 519, 476, 3422, 271, 338, 2486, 524, 887, 1087, 1058, 3382, 1312, 3584, 538, 1010, 1382, 1957, 646, 1281, 711, 991, 547, 7522, 519, 1888, 2417, 563, 8698, 2182, 4224, 2575, 1382, 4574, 593, 24243, 9254, 585, 1863, 269, 8535, 1382, 1957, 1451, 875, 547, 2328, 1382, 1957, 593, 2575, 1271, 1592, 540, 2575, 1382, 1957, 3584, 4224, 2575, 1686, 2575, 543, 24890, 269, 8535, 2090, 1957, 3584, 519, 3318, 5234, 693, 1379, 335, 3639, 1260, 616, 9280, 547, 6023, 513, 3099, 540, 18125, 1644, 547, 519, 3376, 8552, 540, 3584, 602, 666, 581, 3769, 538, 2575, 2090, 713, 6791, 666, 581, 1031, 547, 4217, 1053, 2429, 519, 1382, 1184, 689, 1888, 5542, 547, 11049, 513, 8737, 1587, 563, 10932, 4574, 585, 4224, 2575, 454, 10907, 611, 8598, 9254, 568, 513, 3760, 585, 19174, 547, 2671, 1382, 4574, 519, 1353, 5059, 593, 519, 1198, 540, 4282, 2575, 547, 2852, 1053, 262, 4081, 2773, 1547, 3194, 4574, 585, 4224, 2575, 1382, 15682, 24067, 4224, 1299, 519, 2034, 2528, 1273, 1562, 517, 267, 818, 2151, 1496, 529, 16818, 281, 476, 7818, 268, 271, 268, 280, 7761, 29616, 279, 268, 271, 268, 277, 316, 20789, 1188, 910, 24067, 4224, 1299, 519, 2034, 2528, 568, 1250, 1699, 2542, 267, 513, 519, 536, 4545, 549, 1111, 5399, 568, 519, 3119, 2027, 10070, 5399, 693, 519, 6280, 540, 1608, 4727, 267, 10874, 18403, 269, 9412, 543, 22850, 2575, 723, 1044, 9228, 676, 930, 1004, 547, 581, 519, 2014, 540, 2799, 10795, 543, 824, 4550, 1606, 3469, 2623, 2523, 547, 519, 1762, 1004, 930, 8044, 602, 971, 8226, 568, 606, 936, 8063, 618, 607, 972, 616, 1082, 824, 2188, 538, 321, 16742, 538, 1480, 7919, 602, 10511, 10028, 741, 3765, 2041, 6409, 12542, 563, 268, 5903, 540, 4277, 2575, 1382, 1557, 3584, 547, 2328, 827, 1382, 4574, 666, 581, 2854, 538, 1022, 4928, 267, 1256, 538, 519, 6575, 4574, 827, 7574, 3584, 616, 811, 11791, 585, 1053, 547, 2328, 982, 519, 4574, 827, 3621, 610, 5339, 3584, 563, 268, 594, 6415, 538, 519, 1184, 540, 1603, 513, 1382, 1957, 585, 1250, 7005, 1362, 267, 543, 519, 1888, 602, 1775, 723, 6074, 568, 593, 22850, 2575, 811, 4481, 281, 875, 519, 5048, 540, 22850, 2575, 814, 4957, 689, 513, 1382, 1957, 593, 22850, 2575, 910, 2104, 12696, 15473, 563, 268, 634, 1283, 476, 736, 1034, 4277, 1382, 1957, 3584, 827, 2575, 2575, 568, 513, 26460, 621, 779, 1945, 602, 16764, 21593, 267, 543, 4896, 666, 1745, 563, 1103, 519, 476, 3422, 271, 338, 4224, 2575, 1131, 1376, 547, 979, 1688, 538, 1688, 609, 3023, 543, 5061, 782, 1863, 2228, 1382, 4574, 267, 1382, 1957, 5439, 543, 1383, 1382, 1547, 27755, 404, 361, 12022, 25078, 12168, 365, 404, 361, 8294, 12022, 18457, 28257, 14534, 8294, 12022, 24291, 404, 368, 24220, 8294, 24220, 14643, 540, 1762, 1870, 5443, 27755, 404, 361, 12022, 25078, 12168, 365, 404, 361, 8294, 12022, 18457, 28257, 14534, 8294, 12022, 24291, 404, 368, 24220, 8294, 24220, 269, 594, 991, 547, 2097, 909, 609, 513, 6405, 1888, 585, 1250, 1557, 1775, 786, 1603, 2663, 593, 538, 519, 1153, 1032, 1775, 9364, 269, 0, 298, 523, 15326, 476, 1691, 324, 1983, 669, 4029, 454, 577, 1986, 476, 4029, 7819, 1272, 538, 519, 968, 549, 2130, 1000, 550, 625, 2223, 476, 4489, 280, 1700, 4572, 280, 575, 3384, 3140, 1983, 1620, 2686, 7835, 538, 3140, 2796, 269, 717, 3384, 3140, 1983, 519, 1101, 851, 540, 713, 3184, 6257, 519, 2101, 1514, 543, 2804, 2242, 540, 519, 476, 4572, 271, 338, 269, 10434, 4252, 5758, 23345, 2705, 14646, 536, 598, 333, 958, 543, 14646, 642, 561, 785, 25669, 540, 1007, 26294, 1185, 1101, 2557, 8186, 543, 8810, 1983, 607, 7819, 1686, 476, 1691, 324, 15220, 4029, 630, 272, 563, 11293, 333, 652, 646, 2719, 3118, 3594, 543, 1382, 4574, 1923, 1806, 22967, 339, 3736, 321, 714, 14646, 535, 32650, 15326, 543, 8788, 32650, 15326, 476, 1691, 324, 1983, 669, 4029, 269, 4828, 1603, 3028, 10681, 817, 9892, 14567, 344, 344, 656, 3317, 720, 846, 937, 528, 16769, 533, 698, 21590, 993, 732, 20393, 554, 4428, 2006, 1854, 9535, 5223, 2079, 606, 2079, 540, 519, 1871, 540, 2069, 269, 1977, 1686, 476, 1691, 324, 15220, 4029, 630, 272, 264, 910, 1863, 4647, 607, 7824, 3758, 32650, 15326, 267, 7820, 7015, 2797, 1983, 543, 2123, 19259, 602, 646, 729, 2111, 547, 5352, 563, 298, 523, 15326, 476, 1691, 324, 1983, 669, 4029, 682, 320, 3045, 10689, 18189, 14172, 1557, 11648, 1557, 19967, 13299, 1557, 8808, 3069, 1557, 563, 8505, 558, 9394, 2872, 2433, 14247, 2275, 615, 3832, 16769, 2433, 1073, 1084, 597, 964, 1102, 657, 679, 6935, 513, 11355, 632, 12911, 516, 3747, 324, 267, 512, 748, 678, 15530, 738, 1846, 1357, 546, 753, 11552, 2985, 2189, 2433, 18914, 2872, 269, 476, 2412, 279, 476, 6078, 476, 27149, 276, 476, 8517, 268, 273, 476, 9965, 4817, 476, 28656, 268, 273, 476, 7176, 280, 276, 476, 3583, 275, 268, 273, 476, 12553, 280, 5392, 15886, 15886, 15886, 4200, 476, 3199, 268, 272, 476, 6434, 280, 276, 476, 23470, 268, 273, 476, 7176, 280, 276, 476, 280, 6924, 476, 275, 4097, 476, 10482, 4817, 476, 276, 4510, 476, 275, 476, 15886, 276, 476, 276, 5379, 476, 271, 476, 3583, 476, 4572, 476, 274, 476, 15433, 279, 4200, 15886, 15886, 15886, 7176, 476, 275, 5038, 476, 2641, 476, 4097, 269, 0, 763, 2949, 7059, 3114, 3830, 585, 519, 5114, 568, 912, 277, 2910, 273, 1341, 476, 277, 670, 273, 302, 9890, 595, 277, 295, 1321, 302, 277, 1341, 476, 277, 744, 273, 454, 21982, 883, 2272, 782, 540, 519, 1657, 3157, 267, 519, 1655, 1699, 7447, 689, 30173, 3560, 543, 7998, 3631, 568, 602, 476, 1789, 260, 540, 8093, 4492, 2910, 273, 19501, 547, 519, 5790, 568, 11368, 538, 519, 12084, 269, 1284, 4718, 538, 602, 1152, 476, 2004, 260, 540, 519, 19501, 2910, 273, 2965, 3788, 538, 519, 5790, 269, 2334, 3762, 513, 476, 736, 260, 7508, 16173, 269, 1284, 1631, 2490, 547, 19718, 676, 519, 1979, 14459, 607, 513, 2009, 7778, 585, 713, 7508, 16173, 563, 27807, 11061, 607, 621, 12211, 547, 4414, 2135, 18696, 912, 2467, 616, 11476, 1369, 513, 1560, 602, 616, 19535, 5135, 2249, 630, 4629, 306, 264, 543, 1866, 602, 616, 19535, 9436, 2249, 630, 305, 10064, 1040, 589, 19717, 538, 519, 16617, 516, 9134, 1533, 540, 519, 1591, 267, 538, 799, 681, 5308, 2504, 20489, 15934, 23640, 267, 568, 1572, 19842, 2566, 563, 3528, 21658, 267, 6491, 4592, 894, 2566, 568, 606, 15717, 538, 6491, 878, 12547, 630, 17472, 264, 15202, 3361, 676, 2799, 5666, 540, 681, 10064, 267, 799, 949, 581, 3361, 676, 267, 610, 2404, 609, 267, 513, 19717, 538, 519, 4414, 2135, 1533, 269, 1306, 5941, 4505, 267, 1863, 18119, 616, 3810, 19535, 6675, 609, 10002, 8529, 9211, 563, 10907, 5120, 566, 540, 8904, 630, 332, 521, 268, 273, 994, 763, 1966, 5956, 950, 2901, 681, 5308, 630, 2135, 9179, 264, 610, 681, 10064, 630, 24965, 794, 264, 1205, 856, 540, 3666, 543, 19890, 538, 6806, 16983, 610, 11432, 1949, 4586, 2304, 16983, 609, 4057, 10009, 543, 1970, 5135, 2157, 666, 18711, 2509, 4057, 16617, 267, 22159, 568, 10300, 1540, 676, 519, 3165, 1560, 17418, 547, 2569, 891, 2706, 2135, 1938, 563, 763, 1657, 9819, 1869, 21179, 919, 519, 19718, 540, 2910, 273, 676, 519, 5836, 1317, 621, 17648, 519, 2898, 5836, 547, 581, 538, 11466, 609, 519, 5790, 269, 901, 11466, 568, 538, 1249, 711, 6913, 1317, 540, 519, 3500, 11544, 540, 519, 5836, 269, 2982, 513, 2241, 4216, 2203, 585, 519, 30173, 10009, 563, 2080, 568, 519, 3830, 585, 15591, 912, 6826, 1459, 1107, 1403, 519, 1152, 3364, 594, 1589, 827, 607, 594, 6557, 6972, 547, 960, 568, 875, 1454, 594, 723, 547, 798, 267, 1287, 594, 6557, 2907, 538, 519, 4636, 1533, 540, 2247, 950, 594, 3802, 998, 602, 7450, 269, 898, 779, 2182, 547, 8011, 693, 960, 950, 594, 6557, 14129, 827, 519, 5816, 543, 13030, 17930, 269, 898, 1152, 8591, 547, 519, 3190, 952, 594, 544, 1638, 621, 936, 782, 1554, 267, 865, 594 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 15531, 519, 6824, 540, 513, 7274, 269, 6201, 692, 3528, 1923, 5181, 476, 3066, 267, 476, 1708, 273, 692, 23804, 519, 8454, 540, 513, 7274, 3274, 1797, 4466, 1018, 7274, 519, 6824, 4564, 538, 519, 2898, 269, 18833, 1279, 6498, 568, 2141, 5363, 950, 4466, 519, 6824, 540, 513, 7274, 602, 4564, 519, 2898, 780, 23804, 519, 6824, 540, 513, 7274, 666, 581, 3274, 2944, 538, 1079, 2081, 267, 596, 666, 1265, 519, 7274, 540, 513, 6824, 676, 14921, 519, 19362, 540, 519, 8454, 543, 12270, 621, 676, 519, 14009, 610, 835, 666, 1265, 519, 6824, 540, 513, 2016, 7274, 676, 12270, 519, 19362, 609, 519, 14009, 543, 1287, 25092, 519, 2164, 676, 519, 7274, 780, 4131, 779, 1413, 693, 782, 519, 1079, 2081, 540, 4466, 519, 6824, 540, 513, 7274, 543, 741, 1806, 780, 1012, 15531, 519, 6824, 540, 513, 7274, 676, 14921, 519, 19362, 609, 519, 7274, 543, 12270, 519, 2164, 676, 519, 14009, 780, 3721, 476, 272, 269, 25092, 519, 19362, 609, 519, 7274, 780, 21163, 476, 273, 281, 19147, 519, 2164, 676, 519, 14009, 269, 4635, 1279, 6498, 568, 2653, 950, 596, 616, 711, 4847, 547, 946, 9498, 780, 4131, 779, 1413, 693, 606, 1383, 540, 713, 1505, 780, 20728, 346, 7078, 281, 1265, 476, 4153, 11898, 21702, 346, 273, 2410, 278, 348, 1422, 11898, 1422, 3667, 346, 1993, 4153, 11898, 6321, 315, 11898, 20728, 346, 326, 718, 976, 540, 4620, 1503, 27874, 454, 20728, 23533, 10179, 1807, 476, 273, 609, 519, 7274, 476, 6321, 476, 4153, 11138, 3667, 19127, 663, 7941, 519, 2164, 676, 476, 278, 4153, 11898, 7807, 2765, 346, 273, 2410, 278, 348, 9943, 6321, 11138, 7807, 2765, 346, 273, 9943, 6321, 2410, 278, 18098, 2765, 346, 12208, 2410, 278, 27874, 454, 284, 1626, 1422, 11898, 20728, 346, 326, 718, 976, 540, 4620, 1503, 10926, 1012, 15531, 519, 6824, 540, 513, 7274, 676, 12270, 519, 19362, 543, 519, 14009, 543, 14921, 519, 2164, 676, 519, 7274, 780, 21163, 476, 272, 269, 19147, 519, 19362, 543, 14009, 540, 519, 6824, 692, 21163, 476, 273, 269, 25092, 519, 2164, 676, 519, 2016, 7274, 692, 4131, 779, 1413, 693, 606, 1383, 896, 713, 1505, 692, 20728, 346, 7078, 269, 4855, 476, 4153, 11898, 21702, 346, 275, 2410, 276, 4153, 11898, 1422, 3667, 346, 1993, 476, 4335, 9489, 27874, 454, 12585, 281, 1422, 3667, 346, 9616, 602, 476, 4153, 11138, 3667, 346, 1492, 1297, 602, 5205, 519, 1412, 1993, 1412, 568, 519, 4153, 11138, 3667, 346, 7274, 269, 19147, 519, 19362, 676, 519, 4153, 11138, 3667, 346, 14009, 1775, 4318, 476, 275, 383, 371, 276, 284, 271, 269, 279, 269, 4153, 11138, 3667, 346, 10190, 9062, 519, 2164, 476, 271, 269, 279, 676, 476, 4335, 348, 8607, 315, 3667, 18097, 3326, 1513, 815, 476, 271, 269, 279, 9943, 4335, 284, 6110, 9489, 10926, 303, 847, 6005, 4466, 519, 6824, 540, 513, 7274, 269, 8347, 707, 3946, 593, 519, 1739, 780, 20728, 346, 8340, 519, 1739, 4153, 11898, 5416, 1040, 1422, 2765, 346, 275, 2410, 278, 4153, 11898, 20728, 346, 1993, 835, 3018, 286, 4153, 11898, 11138, 263, 321, 1040, 1422, 2765, 346, 272, 2410, 1428, 4153, 11898, 20728, 346, 1993, 476, 273, 3108, 286, 4153, 11898, 6262, 1040, 1422, 2765, 346, 274, 2410, 275, 4153, 11898, 20728, 346, 1993, 476, 273, 2395, 286, 10926, 3918, 4696, 281, 1109, 1548, 568, 513, 771, 329, 2002, 5036, 267, 8847, 267, 543, 1806, 0, 258, 1975, 332, 2889, 915, 11711, 692, 18744, 2139, 593, 5530, 300, 1712, 454, 1892, 13445, 281, 5384, 267, 8416, 2773, 267, 3687, 1393, 454, 1892, 9664, 2433, 476, 273, 630, 5780, 278, 1913, 12467, 1892, 8281, 4433, 264, 2433, 476, 4198, 454, 1892, 15618, 2433, 5239, 476, 1704, 267, 476, 1001, 272, 692, 17806, 2776, 1613, 454, 273, 269, 1548, 568, 519, 5021, 1279, 3856, 24276, 998, 1584, 2557, 540, 25547, 1516, 7233, 1948, 272, 286, 1548, 2188, 1860, 713, 998, 1584, 2557, 2496, 763, 5021, 1279, 3856, 24276, 998, 1584, 2557, 568, 5462, 676, 519, 4199, 609, 519, 2547, 4390, 269, 1306, 1114, 1184, 11507, 616, 4553, 676, 3819, 543, 6632, 15708, 267, 972, 786, 581, 3982, 543, 5094, 5021, 24276, 998, 1584, 3928, 585, 891, 1079, 2472, 269, 634, 4390, 540, 519, 3819, 619, 568, 519, 4420, 331, 2940, 1188, 585, 519, 6632, 15708, 269, 4475, 267, 519, 5021, 998, 1584, 585, 6632, 15708, 568, 476, 7785, 536, 321, 3149, 10774, 337, 269, 1306, 585, 3819, 15708, 267, 519, 9668, 1184, 568, 519, 4420, 331, 2940, 1188, 269, 634, 5021, 998, 1584, 585, 3819, 15708, 786, 4061, 581, 476, 6344, 271, 536, 321, 3149, 10774, 337, 269, 634, 5021, 24276, 998, 1584, 2557, 1131, 581, 4299, 676, 2242, 538, 519, 6871, 540, 3819, 610, 6632, 15708, 269, 634, 998, 1584, 1131, 849, 581, 4299, 676, 519, 4420, 331, 2940, 1188, 585, 15018, 15708, 547, 581, 16041, 883, 13557, 18114, 610, 9126, 3022, 269, 5231, 634, 4393, 2557, 540, 519, 1614, 3021, 1807, 3515, 849, 4299, 519, 998, 1584, 2557, 607, 4393, 17379, 607, 519, 6871, 540, 3983, 4829, 2799, 780, 275, 269, 2201, 3328, 267, 875, 1279, 786, 519, 18114, 723, 547, 7227, 593, 513, 11112, 1554, 286, 27539, 513, 476, 1556, 600, 1376, 540, 4393, 540, 15708, 543, 513, 6024, 12625, 2557, 540, 15708, 540, 476, 272, 267, 4335, 536, 321, 3149, 10774, 337, 269, 2608, 3962, 5662, 267, 972, 616, 630, 5611, 271, 265, 271, 269, 278, 264, 815, 476, 10755, 271, 6277, 3149, 540, 6632, 15708, 543, 630, 5611, 271, 265, 271, 269, 274, 264, 815, 476, 14596, 540, 3819, 15708, 269, 2608, 22427, 4242, 1376, 21945, 693, 1472, 476, 278, 4456, 692, 265, 4595, 519, 4390, 540, 25510, 1772, 1152, 476, 17168, 271, 267, 645, 1231, 1205, 2407, 1310, 630, 17168, 271, 270, 10755, 271, 264, 815, 476, 274, 269, 4962, 3108, 267, 693, 827, 476, 1015, 4456, 2608, 14409, 6238, 693, 476, 1556, 4456, 454, 265, 693, 476, 278, 10681, 267, 630, 10755, 271, 268, 7785, 12684, 279, 815, 476, 11740, 271, 536, 321, 3149, 1058, 581, 4371, 3544, 538, 519, 25510, 269, 3719, 4390, 568, 476, 17168, 271, 2608, 2991, 630, 10755, 271, 265, 275, 266, 11740, 271, 268, 17168, 271, 8358, 7785, 815, 476, 278, 269, 6858, 31477, 267, 693, 1472, 476, 273, 269, 2412, 4456, 519, 2063, 14903, 568, 796, 2903, 539, 2608, 4475, 267, 2698, 7996, 942, 936, 1934, 786, 581, 689, 476, 1015, 269, 876, 4456, 547, 476, 273, 269, 2412, 4456, 267, 799, 568, 3160, 547, 476, 1626, 269, 6858, 31477, 269, 2608, 19105, 7996, 942, 538, 713, 2013, 786, 581, 630, 278, 3199, 271, 268, 17168, 271, 31618, 1626, 269, 6858, 270, 273, 19422, 4037, 265, 25838, 265, 271, 269, 3583, 264, 815, 630, 29121, 271, 265, 279, 269, 28178, 8358, 14096, 6872, 269, 276, 284, 274, 269, 876, 327, 3464, 476, 276, 269, 2201, 3328, 267, 875, 1279, 786, 519, 18114, 723, 547, 7227, 593, 513, 11112, 1554, 286, 27539, 513, 476, 278, 600, 1376, 540, 4393, 540, 1862, 0, 290, 20975, 454, 13146, 28567, 692, 19425, 1161, 692, 258, 8298, 15162, 332, 16572, 8018, 476, 279, 628, 6103, 4569, 26964, 6096, 5999, 1280, 27240, 619, 8342, 692, 3528, 8861, 808, 269, 4446, 5886, 593, 4864, 476, 1015, 476, 1001, 279, 476, 6860, 281, 876, 281, 7918, 692, 14399, 786, 581, 1565, 693, 1153, 875, 547, 5180, 909, 17447, 547, 519, 14282, 2898, 1297, 269, 589, 1187, 1259, 547, 26821, 713, 693, 1753, 568, 547, 946, 2834, 2531, 16394, 543, 3715, 602, 1142, 4062, 568, 513, 8918, 1297, 630, 810, 513, 2531, 3626, 835, 609, 476, 274, 15956, 543, 476, 275, 15956, 568, 476, 274, 269, 275, 1040, 11559, 873, 547, 1404, 609, 519, 2531, 16394, 267, 855, 609, 519, 4341, 602, 789, 666, 1152, 267, 585, 1383, 267, 6443, 476, 273, 2531, 16394, 602, 616, 1369, 476, 272, 269, 276, 540, 1142, 824, 269, 901, 786, 2731, 1205, 873, 3206, 827, 1018, 1142, 8918, 1448, 4564, 269, 589, 1297, 1899, 666, 849, 581, 3730, 950, 24263, 17447, 780, 9359, 676, 1739, 519, 2596, 1184, 585, 6824, 8691, 267, 7432, 1022, 6404, 8454, 883, 16789, 3283, 269, 6969, 596, 3444, 22599, 610, 9062, 267, 2705, 267, 23396, 519, 19362, 543, 519, 14009, 538, 519, 2034, 6824, 269, 901, 568, 1572, 2921, 519, 23483, 543, 621, 568, 519, 1883, 1900, 547, 2490, 713, 883, 513, 6498, 5106, 269, 3973, 267, 3444, 22599, 267, 9062, 2066, 547, 1205, 519, 2626, 6824, 267, 543, 2569, 780, 2080, 779, 15691, 602, 1631, 28976, 8454, 585, 596, 1131, 581, 2653, 543, 711, 865, 2048, 339, 4459, 3917, 9957, 8414, 17773, 2439, 2252, 596, 798, 711, 1174, 519, 1455, 9238, 540, 7223, 1287, 596, 786, 12777, 581, 4503, 11014, 950, 621, 2501, 547, 713, 1641, 269, 9861, 4503, 538, 519, 2038, 5933, 540, 7223, 666, 581, 29070, 1317, 972, 616, 1082, 1296, 540, 4359, 7223, 1175, 5679, 12177, 593, 707, 7450, 269, 4495, 596, 1831, 811, 8746, 543, 707, 4313, 1377, 4679, 267, 596, 666, 2965, 7794, 621, 676, 3843, 547, 4019, 2241, 15821, 3156, 547, 4948, 1272, 269, 1411, 786, 4166, 1265, 856, 602, 7223, 568, 711, 3833, 607, 2352, 607, 596, 949, 723, 2899, 2219, 269, 0, 1012, 29329, 10789, 281, 4045, 532, 16610, 998, 13335, 692, 8245, 680, 1518, 519, 3830, 547, 3489, 281, 1422, 8218, 9387, 15857, 476, 273, 344, 268, 275, 343, 261, 15871, 273, 24206, 476, 273, 343, 1341, 8987, 273, 24206, 476, 278, 9385, 315, 476, 273, 344, 268, 275, 343, 261, 15871, 275, 343, 268, 1691, 11138, 476, 273, 344, 261, 15871, 275, 343, 268, 1691, 266, 275, 343, 11138, 476, 273, 344, 261, 15871, 1691, 11138, 586, 261, 15871, 278, 1422, 754, 9387, 15857, 31962, 281, 634, 3113, 540, 606, 3830, 540, 519, 1106, 1269, 344, 284, 330, 259, 568, 513, 8880, 1899, 602, 10596, 998, 519, 1448, 18159, 271, 267, 737, 30879, 2353, 2798, 593, 519, 1899, 723, 513, 1269, 344, 27572, 1723, 15453, 540, 1269, 330, 8961, 543, 519, 3113, 814, 1100, 1269, 343, 27572, 5793, 1061, 8259, 1269, 330, 284, 271, 10608, 4935, 267, 519, 3113, 540, 519, 2016, 1899, 568, 513, 8880, 1899, 602, 10596, 998, 18159, 271, 267, 910, 278, 30879, 634, 3113, 814, 1100, 1269, 343, 27572, 5793, 1061, 269, 28582, 547, 519, 3113, 1657, 269, 0, 258, 3848, 476, 273, 910, 14572, 12307, 910, 476, 273, 268, 274, 14572, 11638, 28157, 12307, 910, 6657, 543, 9046, 4149, 6295, 20113, 910, 8525, 476, 7176, 281, 476, 6246, 692, 259, 326, 284, 275, 269, 2767, 6911, 2971, 4518, 5153, 676, 5153, 692, 2171, 1376, 609, 519, 2016, 3830, 281, 1269, 1839, 269, 2190, 284, 276, 326, 266, 274, 269, 8660, 259, 1284, 9062, 519, 2898, 3830, 676, 1269, 1911, 259, 281, 1269, 1911, 263, 1839, 269, 2190, 284, 276, 326, 266, 274, 269, 8660, 7751, 1284, 4019, 519, 2733, 5737, 3959, 547, 9062, 1142, 2165, 676, 1269, 1911, 259, 281, 1269, 21857, 275, 284, 4335, 326, 266, 4343, 280, 259, 1284, 10208, 1269, 4343, 280, 259, 689, 1142, 2427, 540, 519, 3830, 281, 1269, 21857, 275, 268, 4343, 280, 284, 4335, 326, 259, 1284, 9192, 519, 899, 2474, 593, 1142, 2427, 540, 519, 3830, 281, 1269, 22659, 276, 284, 4335, 326, 259, 7053, 267, 649, 7941, 676, 1269, 4335, 259, 593, 1142, 2427, 540, 519, 3830, 281, 1269, 326, 7807, 2765, 346, 22659, 276, 2410, 4335, 13157, 275, 269, 2767, 6911, 5475, 596, 3409, 606, 2626, 596, 3580, 723, 476, 2190, 3108, 547, 6494, 538, 513, 8908, 269, 1323, 9375, 786, 2689, 519, 19169, 543, 2901, 15476, 707, 19169, 610, 1683, 1109, 12890, 3724, 269, 0, 427, 375, 379, 1946, 666, 1405, 596, 7941, 676, 476, 271, 910, 1207, 660, 2354, 2593, 692, 25585, 666, 1406, 596, 7941, 676, 476, 271, 692, 3963, 2052, 1406, 1411, 19147, 1635, 476, 271, 2496, 4322, 4967, 1865, 1946, 649, 3112, 7941, 676, 476, 271, 269, 634, 2110, 2626, 568, 602, 476, 271, 814, 1100, 3818, 2364, 894, 11201, 267, 543, 1022, 3801, 547, 5581, 513, 1483, 1297, 607, 519, 3818, 2364, 894, 11201, 540, 476, 271, 1131, 1267, 538, 519, 27171, 476, 271, 815, 476, 272, 269, 2560, 25226, 6238, 676, 14322, 972, 616, 3615, 1572, 1483, 2338, 780, 3963, 666, 1406, 649, 7941, 676, 4642, 2496, 2026, 1454, 607, 649, 1131, 899, 547, 723, 606, 2626, 585, 968, 6343, 779 ]

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

[ 18317, 1310, 7092, 689, 10770, 14331, 269, 1358, 941, 5701, 585, 2589, 267, 2943, 7189, 17792, 519, 2556, 4152, 547, 3561, 23927, 269, 2201, 11016, 267, 3967, 476, 2190, 267, 519, 3993, 13264, 883, 513, 16420, 593, 1200, 3068, 543, 8405, 543, 4682, 585, 513, 2034, 6644, 547, 519, 18317, 538, 3203, 525, 807, 269, 11088, 267, 1352, 729, 5701, 267, 2943, 1100, 4255, 547, 3313, 1200, 2157, 540, 4598, 941, 5342, 269, 1772, 713, 3246, 938, 3885, 609, 7850, 1416, 1310, 513, 21383, 286, 589, 2407, 1079, 2395, 5293, 1354, 4896, 689, 519, 4143, 1533, 8041, 4951, 909, 269, 3143, 4255, 540, 519, 13572, 3037, 610, 27983, 593, 519, 3135, 723, 1044, 5342, 269, 9453, 4255, 267, 519, 1920, 814, 1100, 1239, 593, 1018, 729, 538, 713, 3812, 834, 325, 571, 9535, 3653, 257, 1216, 543, 519, 2009, 1279, 2165, 2360, 593, 741, 1072, 267, 13184, 267, 543, 2244, 269, 634, 1920, 729, 5143, 676, 654, 303, 311, 602, 519, 13452, 729, 22247, 585, 741, 2831, 543, 602, 789, 1131, 991, 547, 581, 24428, 538, 513, 12062, 269, 1717, 267, 519, 1920, 568, 4867, 1869, 2713, 538, 741, 2777, 267, 6972, 998, 519, 13452, 563, 1607, 3003, 12558, 729, 3520, 16781, 748, 855, 711, 2189, 269, 769, 476, 1001, 277, 267, 476, 4649, 18937, 26953, 10820, 941, 2451, 593, 519, 2427, 540, 519, 4155, 950, 1776, 654, 303, 311, 9808, 1188, 14950, 1011, 10757, 538, 715, 720, 14162, 328, 267, 28679, 269, 5808, 9516, 713, 286, 8230, 5062, 20075, 523, 267, 8689, 540, 15444, 24520, 291, 24753, 910, 543, 5449, 16628, 540, 654, 303, 311, 269, 654, 303, 311, 814, 513, 2594, 607, 513, 3983, 17076, 2943, 814, 711, 4607, 835, 15163, 269, 634, 1004, 540, 1715, 6792, 666, 1448, 547, 1169, 7944, 540, 519, 1533, 543, 1397, 875, 972, 568, 1100, 9431, 11268, 610, 15163, 12588, 593, 2872, 267, 2436, 621, 568, 538, 519, 30520, 267, 1849, 990, 529, 267, 2961, 3149, 21112, 267, 17502, 528, 549, 610, 19186, 340, 20960, 4302, 269, 901, 814, 3893, 547, 1689, 269, 6496, 28679, 991, 547, 723, 513, 4961, 9290, 4547, 1996, 873, 547, 957, 888, 2005, 568, 519, 13338, 10279, 540, 9777, 2209, 547, 1416, 585, 519, 1072, 540, 938, 1004, 269, 769, 1769, 540, 2943, 1776, 9808, 9535, 12526, 538, 938, 1533, 543, 519, 1857, 1072, 6595, 1813, 2234, 1756, 543, 6757, 3114, 23927, 267, 649, 5000, 596, 547, 1780, 14130, 9291, 476, 10441, 585, 513, 9808, 9535, 2849, 1807, 1756, 547, 1450, 476, 1015, 1533, 8041, 547, 1867, 543, 1353, 519, 5222, 540, 17453, 9808, 9535, 865, 602, 649, 666, 25666, 513, 27152, 1544, 547, 10038, 713, 2872, 543, 2149, 938, 3885, 563, 8923, 1289, 610, 4757, 17135, 13198, 13568, 6182, 880, 600, 663, 22694, 2209, 454, 20779, 663, 519, 17135, 2322, 519, 17793, 9535, 5651, 1807, 1756, 9291, 630, 306, 289, 476, 10441, 264, 593, 519, 1289, 585, 713, 8400, 865, 621, 666, 581, 4862, 538, 12233, 563, 6124, 6792, 781, 2110, 476, 1789, 6377, 15424, 8400, 814, 13175, 269, 1284, 782, 991, 547, 960, 1927, 547, 1489, 4395, 1467, 543, 7087, 2950, 4299, 676, 9808, 9535, 267, 607, 1134, 607, 5885, 519, 6107, 781, 1289, 689, 7525, 2962, 593, 519, 2916, 6433, 269, 898, 568, 1271, 547, 6494, 891, 5022, 543, 1118, 519, 7125, 547, 1397, 519, 17294, 543, 9777, 2209, 1857, 1489, 585, 513, 2849, 1807, 1756, 593, 9808, 9535, 538, 1715, 6792, 269, 1284, 786, 3136, 513, 5859, 2429, 519, 1032, 2394, 513, 2849, 1807, 1756, 568, 5293, 563, 8923, 1289, 29583, 269, 18466, 548, 13198, 13568, 6182, 880, 600, 267, 630, 31746, 264, 476, 5325, 277, 268, 13136, 271, 610, 4757, 519, 17135, 2221, 256, 3557, 602, 596, 1489, 519, 9808, 9535, 3915, 590, 289, 476, 10441, 563, 16485, 519, 17135, 547, 13207, 732, 513, 8693, 17073, 454, 16485, 1200, 547, 1039, 519, 17793, 9535, 18489, 3175, 630, 306, 289, 476, 10441, 264, 547, 519, 17135, 781, 11910, 563, 4131, 1200, 917, 1946, 713, 9086, 568, 1271, 547, 596, 563, 7230, 785, 1200, 540, 519, 2640, 540, 713, 3915, 454, 289, 2590, 713, 2487, 2680, 547, 519, 3007, 540, 938, 1876, 16234, 269, 634, 5130, 476, 2641, 628, 16411, 540, 513, 834, 335, 22004, 1216, 257, 1899, 910, 1175, 476, 1911, 3952, 689, 513, 1920, 15335, 538, 2961, 3149, 21112, 910, 32514, 919, 519, 3978, 10616, 538, 513, 7745, 9431, 1062, 602, 616, 8380, 519, 1072, 543, 3106, 540, 782, 1715, 5165, 15092, 693, 1981, 269, 634, 12871, 540, 865, 10777, 834, 335, 22004, 1216, 27324, 538, 4641, 267, 519, 9808, 9535, 2872, 781, 6757, 3653, 910, 568, 2870, 513, 1857, 1072, 6595, 540, 13778, 9165, 2066, 3013, 269, 769, 476, 1001, 279, 267, 811, 982, 476, 5655, 5479, 17529, 540, 3812, 1216, 941, 2813, 538, 28679, 781, 18983, 1014, 19438, 4805, 269, 7490, 1491, 519, 942, 547, 1224, 713, 4484, 267, 1246, 519, 6402, 267, 543, 6494, 621, 593, 547, 938, 11221, 8387, 269, 1284, 666, 581, 14980, 1100, 3476, 563, 5649, 590, 289, 476, 10441, 585, 3054, 269, 590, 289, 476, 10441, 568, 23032, 676, 27737, 4165, 334, 6839, 974, 20767, 21034, 700, 2100, 345, 630, 291, 5937, 626, 269, 476, 1626, 264, 543, 27737, 4793, 878, 807, 20858, 4472, 16410, 718, 3266, 630, 291, 5937, 626, 269, 476, 1724, 1040, 1284, 991, 713, 3915, 547, 2232, 1072, 2090, 267, 1072, 20038, 543, 3106, 12983, 689, 9808, 9535, 538, 1715, 6792, 269, 0, 14722, 723, 1336, 15244, 540, 11452, 538, 21137, 5439, 3144, 689, 2066, 519, 2197, 1519, 674, 1057, 543, 4911, 639, 563, 2005, 568, 12479, 519, 2164, 540, 16894, 4152, 676, 4966, 689, 519, 13677, 5113, 10466, 10837, 630, 20225, 320, 264, 786, 1683, 3407, 1239, 547, 8128, 1282, 519, 6855, 563, 5319, 1444, 14199, 14986, 13860, 595, 7342, 5069, 1767, 281, 968, 763, 2038, 1239, 568, 2907, 3246, 938, 1857, 1072, 4966, 609, 1007, 1344, 267, 799, 1264, 906, 519, 9962, 2551, 4152, 10872, 547, 2285, 513, 811, 7347, 4605, 540, 519, 9860, 540, 13044, 2068, 538, 10430, 563, 14881, 1413, 4464, 547, 519, 10872, 3246, 2417, 267, 3407, 1239, 936, 519, 4947, 3275, 547, 1489, 938, 4339, 1996, 519, 6855, 3034, 20225, 320, 3744, 22942, 539, 15998, 540, 13044, 268, 866, 10775, 31265, 545, 3679, 630, 11748, 264, 1107, 4719, 1570, 2189, 547, 519, 3644, 1107, 538, 16894, 5439, 269, 634, 1382, 729, 5645, 856, 609, 519, 948, 540, 13677, 4826, 267, 595, 3918, 310, 630, 28495, 516, 540, 16869, 1047, 585, 27347, 264, 543, 4081, 4891, 689, 25470, 2160, 779, 14472, 4802, 4659, 543, 4173, 3999, 654, 3430, 2160, 563, 20225, 320, 3459, 519, 960, 1394, 538, 2904, 609, 519, 25380, 540, 519, 13677, 6554, 543, 5398, 2657, 10430, 630, 303, 9391, 1916, 26046, 540, 5439, 689, 2066, 10430, 814, 1631, 4857, 15244, 538, 16894, 689, 476, 1321, 1072, 4604, 2127, 563, 763, 2164, 723, 1044, 3838, 609, 623, 9391, 543, 2127, 609, 2318, 10717, 4681, 616, 5812, 609, 519, 2127, 1634, 547, 723, 9672, 13044, 268, 866, 2665, 563, 31339, 5439, 723, 1044, 3144, 689, 16894, 2126, 1568, 693, 14480, 325, 1069, 1467, 543, 2274, 1597, 17625, 538, 674, 1057, 538, 2487, 2395, 267, 607, 1134, 607, 693, 24051, 2023, 2282, 1488, 15842, 987, 563, 3725, 817, 1005, 569, 267, 519, 2622, 2657, 9257, 814, 1767, 972, 568, 4867, 1100, 2963, 602, 11452, 814, 1044, 10299, 3842, 29326, 720, 1949, 563, 20225, 320, 1767, 621, 1131, 3136, 547, 960, 609, 24243, 543, 1857, 1072, 8387, 547, 1174, 875, 713, 5464, 666, 581, 1655, 1031, 547, 1489, 10430, 779, 3210, 547, 519, 6855, 563, 763, 8116, 779, 16628, 6833, 787, 589, 685, 295, 792, 333, 1767, 281, 968, 2026, 10430, 779, 2825, 4585, 27594, 543, 607, 513, 1857, 8116, 267, 649, 2611, 10583, 547, 581, 4730, 938, 851, 538, 519, 3084, 4674, 547, 8396, 11452, 563, 2108, 5978, 3621, 7207, 543, 6791, 538, 8888, 543, 7598, 5464, 5121, 1500, 721, 23679, 14018, 547, 12419, 713, 4693, 543, 519, 2164, 649, 616, 7487, 6542, 922, 3621, 14496, 563, 2108, 23338, 547, 519, 6765, 540, 713, 1788, 814, 1044, 938, 11450, 2324, 13677, 4826, 543, 519, 2160, 540, 25470, 779, 14472, 4802, 4659, 267, 543, 649, 786, 3136, 547, 960, 5702, 1927, 547, 13217, 938, 2553, 543, 1620, 563, 14071, 4076, 4607, 1489, 689, 2066, 519, 1857, 5823, 267, 8041, 543, 5238, 1107, 1519, 513, 21856, 540, 11285, 6539, 689, 3163, 543, 31876, 585, 13677, 11982, 1107, 11744, 875, 10430, 568, 4947, 1927, 547, 1265, 2081, 540, 21365, 713, 3644, 3034, 20225, 320, 568, 849, 21528, 5177, 6554, 3621, 31548, 267, 945, 616, 3695, 875, 519, 6771, 540, 13044, 268, 866, 1223, 581, 27424, 998, 16894, 5464, 269, 0, 1103, 476, 2735, 280, 267, 7033, 12672, 619, 6441, 2465, 11827, 519, 2622, 22453, 5680, 630, 310, 310, 310, 1040, 1261, 2813, 621, 607, 513, 3059, 862, 976, 267, 799, 1797, 602, 621, 568, 513, 4199, 602, 568, 2139, 547, 3025, 1510, 8569, 269, 901, 2528, 540, 519, 862, 976, 14356, 849, 5546, 2228, 5867, 269, 6056, 540, 519, 2228, 679, 9871, 320, 4215, 9504, 1141, 13538, 1071, 268, 22056, 679, 9871, 320, 14037, 1702, 827, 519, 1158, 602, 568, 2139, 547, 782, 1510, 8569, 563, 763, 4950, 543, 519, 13431, 310, 616, 2221, 13856, 676, 3059, 16851, 1107, 602, 568, 676, 3549, 602, 1616, 547, 6133, 1945, 538, 1931, 547, 1118, 811, 543, 811, 2724, 269, 11197, 267, 9786, 267, 5616, 267, 8835, 543, 9365, 616, 519, 1158, 779, 4102, 4950, 543, 3301, 3549, 269, 1358, 723, 1044, 10404, 2213, 585, 4259, 909, 3059, 30049, 625, 267, 3423, 908, 7834, 267, 7598, 519, 2527, 13178, 540, 3755, 543, 7432, 519, 4950, 883, 513, 7706, 540, 16450, 602, 27938, 519, 1857, 12106, 563, 25748, 11062, 8890, 339, 3821, 6976, 6820, 3163, 3194, 630, 14899, 305, 264, 585, 10647, 16995, 2228, 7209, 4255, 538, 1931, 547, 3489, 2123, 9365, 1239, 540, 3592, 476, 3445, 2929, 3755, 269, 901, 1239, 729, 1031, 585, 13389, 2797, 18537, 543, 16995, 3377, 593, 9365, 538, 519, 476, 1001, 277, 772, 2529, 269, 30814, 30760, 269, 9365, 4847, 713, 1239, 21556, 547, 4755, 1317, 621, 2306, 2724, 856, 540, 2462, 1239, 8928, 593, 922, 3760, 563, 1432, 1058, 519, 4950, 1413, 899, 538, 519, 2104, 286, 1548, 2186, 540, 4950, 798, 649, 1616, 547, 723, 538, 519, 2104, 286, 1548, 1761, 568, 972, 547, 1418, 1047, 519, 4950, 607, 4244, 1062, 547, 9786, 267, 5616, 267, 8835, 543, 9365, 286, 1548, 1522, 606, 4244, 547, 9365, 267, 29243, 7343, 543, 17749, 1413, 899, 952, 621, 941, 13234, 676, 9504, 888, 2467, 616, 513, 1297, 540, 1271, 2035, 602, 948, 721, 547, 1732, 1174, 875, 519, 4950, 1568, 2221, 543, 875, 621, 1223, 1413, 538, 519, 2104, 281, 1079, 540, 873, 616, 3059, 16851, 543, 519, 3059, 862, 976, 563, 22479, 1388, 1143, 568, 513, 8789, 6240, 267, 621, 4145, 519, 993, 23035, 540, 2479, 811, 3854, 538, 519, 3946, 540, 27352, 24804, 3549, 269, 13317, 568, 2724, 602, 568, 16539, 538, 1931, 547, 1711, 21113, 602, 616, 4421, 538, 1931, 547, 6556, 513, 7443, 267, 1775, 4318, 269, 811, 2724, 982, 729, 16539, 269, 589, 20161, 568, 513, 1434, 610, 3028, 602, 568, 4421, 593, 519, 2344, 563, 19445, 16851, 568, 519, 13539, 540, 3059, 2200, 1759, 593, 519, 7954, 540, 21113, 543, 3854, 269, 14066, 30427, 14078, 20441, 519, 1158, 540, 519, 4950, 267, 1514, 2923, 267, 1239, 267, 26313, 267, 8800, 267, 3301, 267, 543, 519, 2923, 269, 1358, 6133, 3059, 21113, 281, 5616, 543, 9365, 6133, 6098, 2228, 22099, 269, 9786, 23619, 3301, 6132, 1878, 630, 20360, 3298, 267, 8433, 1040, 8835, 568, 519, 1158, 779, 4102, 2228, 6300, 602, 23619, 782, 12204, 540, 2168, 543, 30608, 5370, 269, 11197, 23619, 8800, 971, 607, 1775, 4942, 2158, 543, 5839, 20486, 563, 288, 1455, 1434, 568, 513, 1434, 602, 568, 2139, 547, 3025, 543, 2640, 3025, 267, 971, 607, 938, 4948, 1893, 269, 589, 4357, 1434, 568, 519, 6587, 540, 513, 1455, 1434, 1107, 3335, 513, 20161, 269, 2201, 519, 4950, 267, 649, 6140, 1265, 21113, 269, 1411, 798, 711, 2628, 585, 8384, 610, 14202, 532, 513, 3381, 593, 13334, 267, 10478, 593, 5616, 610, 14202, 532, 606, 3239, 547, 9365, 543, 17749, 269, 1809, 891, 2533, 946, 6098, 22099, 547, 5352, 606, 4747, 269, 1452, 616, 18537, 602, 616, 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 ]

[ 815, 476, 3583, 1535, 476, 3199, 1341, 476, 274, 1535, 476, 278, 7638, 1518, 543, 2489, 1047, 952, 2009, 780, 2162, 28081, 519, 6226, 1080, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 4692, 596, 6582, 519, 9704, 476, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 883, 1614, 476, 274, 18251, 2338, 971, 602, 741, 2698, 568, 2673, 547, 476, 5611, 271, 2496, 2162, 28688, 13174, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 303, 1157, 519, 1297, 540, 2053, 513, 3018, 602, 596, 3548, 10217, 269, 901, 1297, 1590, 581, 811, 982, 835, 855, 1447, 982, 4557, 269, 25092, 713, 1297, 676, 476, 273, 269, 5410, 476, 276, 630, 1721, 10732, 1040, 25092, 676, 476, 2004, 1862, 2052, 596, 2491, 1946, 621, 269, 1547, 1547, 16317, 2162, 18599, 5455, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 763, 1297, 476, 2767, 568, 2027, 1317, 621, 568, 1614, 2053, 519, 2040, 540, 922, 9704, 476, 2767, 815, 476, 274, 630, 273, 1341, 476, 278, 1040, 4855, 930, 1079, 7857, 2338, 602, 616, 10323, 309, 2894, 2053, 519, 2040, 540, 741, 9704, 630, 572, 1597, 5346, 2338, 21663, 0, 258, 6167, 3951, 661, 20846, 281, 31515, 910, 17948, 623, 8976, 19809, 692, 272, 1315, 476, 4029, 692, 7419, 3951, 661, 20846, 281, 31515, 269, 3848, 476, 2190, 31515, 543, 14675, 3848, 476, 1839, 8752, 543, 8838, 923, 269, 3848, 26062, 6363, 712, 281, 31515, 543, 14675, 269, 476, 2190, 269, 272, 15053, 4577, 18289, 476, 2190, 269, 273, 16544, 540, 31515, 476, 2190, 269, 274, 14675, 269, 3848, 476, 2190, 269, 273, 4804, 17644, 269, 14674, 519, 3601, 543, 2623, 540, 6329, 269, 12433, 519, 3432, 540, 6329, 780, 296, 993, 519, 8227, 267, 610, 606, 8665, 17101, 547, 957, 593, 15773, 540, 519, 8227, 267, 540, 519, 10677, 539, 960, 4330, 780, 7419, 3951, 661, 20846, 281, 31515, 692, 12606, 8889, 281, 12474, 593, 519, 19534, 568, 3177, 547, 596, 6789, 4959, 585, 707, 1344, 543, 2123, 946, 543, 949, 711, 581, 4421, 1315, 13931, 1315, 3838, 593, 824, 7270, 1510, 3478, 9844, 689, 922, 2278, 269, 4407, 23842, 267, 952, 585, 930, 2601, 596, 616, 711, 2111, 547, 4647, 513, 6881, 267, 519, 17404, 949, 723, 25216, 519, 3758, 689, 741, 7746, 780, 268, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 661, 715, 667, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 692, 2162, 6167, 3951, 661, 20846, 281, 31515, 692, 1892, 3848, 476, 2190, 31515, 543, 14675, 692, 1892, 3848, 476, 1839, 8752, 543, 8838, 923, 692, 2162, 3848, 26062, 6363, 712, 281, 31515, 543, 14675, 692, 1892, 476, 2190, 269, 272, 15053, 4577, 18289, 692, 1892, 476, 2190, 269, 273, 16544, 540, 31515, 692, 1892, 476, 2190, 269, 274, 14675, 692, 2162, 3848, 476, 2190, 269, 273, 4804, 17644, 692, 1892, 14674, 519, 3601, 543, 2623, 540, 6329, 780, 1892, 12433, 519, 3432, 540, 6329, 780, 1892, 23227, 622, 606, 1620, 540, 5951, 4205, 780, 7659, 7726, 1384, 1692, 798, 6329, 1847, 2496, 310, 2314, 538, 18289, 692, 2162, 476, 2190, 269, 273, 1548, 568, 513, 5951, 2496, 1892, 589, 5951, 568, 606, 14251, 566, 602, 12599, 689, 835, 1747, 547, 1776, 780, 1892, 1403, 596, 1093, 651, 513, 13735, 3440, 267, 621, 14251, 919, 909, 543, 1524, 780, 1892, 634, 14251, 566, 19082, 21286, 689, 1141, 621, 3323, 780, 2162, 476, 2190, 269, 273, 31515, 692, 1892, 1879, 596, 6749, 513, 3440, 883, 1216, 267, 930, 540, 519, 1216, 568, 14593, 11735, 543, 6659, 676, 519, 3440, 780, 2162, 476, 2190, 269, 273, 20668, 540, 513, 5951, 692, 1892, 1411, 666, 1589, 540, 513, 5951, 607, 513, 3001, 3126, 540, 1164, 2798, 543, 1970, 2798, 780, 1892, 589, 30160, 529, 519, 1164, 1448, 540, 519, 5951, 780, 1892, 589, 512, 893, 529, 519, 1970, 1448, 780, 2162, 476, 2190, 269, 273, 20668, 540, 513, 5951, 692, 1892, 634, 4908, 1993, 513, 5951, 568, 519, 2557, 693, 799, 1169, 1448, 593, 519, 5951, 7575, 909, 543, 1524, 780, 1892, 22039, 1797, 968, 6011, 1419, 892, 780, 2162, 476, 2190, 269, 273, 20668, 540, 513, 5951, 692, 1892, 634, 17931, 540, 513, 1216, 5951, 568, 519, 5021, 4463, 519, 5951, 14380, 1657, 519, 1377, 2627, 780, 2162, 476, 2190, 269, 273, 20668, 540, 513, 5951, 692, 1892, 20613, 767, 2654, 568, 519, 3845, 689, 1022, 1448, 593, 513, 5951, 547, 519, 1482, 1448, 593, 519, 1985, 4783, 540, 519, 5951, 780, 1892, 634, 3845, 1063, 835, 30160, 543, 519, 1985, 30160, 568, 513, 15423, 780, 2162, 476, 2190, 269, 273, 634, 3432, 540, 6329, 692, 1892, 589, 5951, 7575, 835, 15423, 538, 1142, 4783, 780, 1892, 4595, 513, 4783, 3217, 835, 1974, 267, 519, 3432, 540, 519, 5951, 568, 519, 15423, 5258, 676, 519, 1974, 780, 2162, 476, 2190, 269, 273, 634, 3432, 540, 6329, 692, 1892, 634, 3432, 540, 513, 1216, 5951, 568, 875, 3728, 519, 5951, 19082, 267, 10691, 875, 3728, 519, 1216, 2627, 7575, 909, 543, 1524, 610, 875, 3728, 519, 12628, 3440, 7575, 538, 519, 1216, 780, 1692, 798, 649, 2268, 519, 5951, 3432, 2496, 2162, 476, 2190, 269, 273, 634, 3432, 540, 6329, 692, 1892, 634, 3432, 568, 519, 3845, 14612, 630, 821, 15423, 264, 5258, 676, 519, 942, 621, 3217, 630, 821, 1974, 6393, 1892, 1284, 2356, 5173, 519, 3432, 540, 513, 5951, 676, 14921, 15423, 676, 4908, 780, 2162, 14572, 10819, 692, 763, 15423, 540, 513, 5951, 593, 513, 5569, 568, 476, 272, 11281, 543, 922, 3432, 568, 476, 276, 544, 4882, 780, 24280, 519, 4908, 543, 519, 1974, 540, 519, 5951, 780, 2162, 14572, 10819, 692, 1892, 18391, 585, 1384, 1892, 2560, 325, 15968, 538, 1200, 16379, 692, 1892, 2560, 704, 1675, 538, 7643, 692, 1892, 9717, 692, 1892, 2560, 22933, 361, 815, 476, 272, 544, 282, 521, 815, 476, 276, 544, 4882, 692, 1892, 17716, 1384, 1892, 521, 815, 535, 1535, 19569, 361, 610, 535, 815, 521, 21680, 19569, 361, 692, 1892, 535, 815, 476, 272, 20081, 528, 570, 815, 476, 272, 11721, 692, 1892, 8827, 692, 1892, 535, 815, 476, 276, 544, 4882, 21680, 272, 544, 815, 476, 276, 9979, 4882, 692, 1892, 570, 815, 476, 272, 270, 276, 9979, 4882, 815, 1547, 273, 521, 692, 1892, 535, 815, 476, 276, 21636, 692, 1892, 570, 815, 1547, 273, 521, 692, 2162, 476, 2190, 269, 273, 9050, 5951, 4205, 692, 1892, 1879, 513, 5951, 13341, 513, 2627, 267, 2185, 4205, 666, 2049, 1384, 1892, 8086, 10484, 1892, 1201, 3555, 10484, 1892, 32250, 267, 610, 692, 1892, 10338, 780, 2162, 476, 2190, 269, 273, 23027, 4205, 692, 1892, 5262, 3555, 2356, 2242, 519, 4287, 543, 3337, 540, 519, 5951, 780, 1892, 1879, 513, 7077, 5951, 10596, 998, 513, 1507, 8559, 32250, 7140, 621, 883, 513, 9764, 5951, 780, 2162, 476, 2190, 269, 273, 3690, 2091, 543, 19976, 6329, 692, 1892, 589, 5951, 13942, 529, 513, 2110, 2048, 10767, 560, 685, 540, 513, 10707, 5951, 780, 1892, 898, 568, 3006, 4443, 547, 1294, 519, 5163, 540, 5951, 20512, 982, 621, 568, 547, 1294, 1279, 6329, 609, 1082, 14251, 725, 780, 2162, 476, 2190, 269, 273, 3690, 2091, 6329, 692, 1892, 634, 14251, 725, 540, 513, 29529, 5951, 616, 711, 538, 519, 4287, 519, 5951, 7575, 780, 2162, 476, 2190, 269, 273, 7043, 15994, 6329, 692, 1892, 634, 14251, 725, 540, 513, 19976, 24859, 616, 538, 519, 1482, 4287, 602, 519, 5951, 7575, 780, 2162, 476, 2190, 269, 273, 4790, 10614, 13779, 692, 1892, 4790, 10614, 13779, 4523, 950, 6329, 1039, 909, 547, 1118, 513, 3677, 17931, 780, 1892, 14597, 596, 1118, 1079, 5951, 20512, 593, 513, 21401, 5569, 780, 1892, 2290, 2501, 689, 519, 2451, 543, 519, 824, 2501, 689, 519, 1318, 780, 1892, 1879, 519, 6329, 2743, 267, 789, 9192, 547, 1118, 513, 2582, 1804, 13942, 780, 2162, 476, 2190, 269, 273, 20121, 10614, 13779, 692, 1892, 1548, 4523, 950, 835, 13942, 568, 593, 1283, 540, 519, 5569, 543, 519, 824, 568, 593, 519, 5377, 2496, 1892, 1879, 519, 20512, 2743, 538, 519, 1647, 267, 789, 22599, 1142, 824, 856, 780, 1892, 4438, 16160, 13779, 267, 6329, 1039, 909, 547, 1118, 513, 5951, 609, 4130, 610, 4642, 17931, 269, 0, 258, 15531, 30352, 547, 3687, 4476, 513, 26228, 540, 13038, 12793, 692, 296, 1616, 547, 1265, 519, 6724, 3230, 320, 2330, 30967, 272, 270, 273, 543, 3230, 321, 2330, 30967, 271, 971, 602, 519, 5021, 540, 3252, 3230, 325, 318, 272, 18079, 3230, 325, 318, 273, 18079, 3230, 325, 318, 274, 18079, 543, 3230, 325, 318, 275, 2330, 3587, 31965, 267, 1775, 4318, 1421, 594, 993, 3168, 585, 3230, 2381, 32384, 6600, 318, 272, 267, 535, 318, 273, 267, 535, 318, 274, 267, 535, 318, 275, 4297, 2330, 1384, 2330, 325, 318, 272, 5416, 264, 815, 476, 272, 269, 276, 10954, 2765, 346, 275, 320, 317, 273, 268, 275, 320, 266, 272, 2410, 277, 268, 275, 320, 15732, 2330, 325, 318, 273, 6357, 264, 815, 476, 272, 269, 866, 10954, 2765, 15830, 2410, 272, 17070, 15732, 2330, 325, 318, 274, 5416, 267, 536, 264, 815, 476, 272, 10954, 2765, 346, 272, 2410, 272, 17070, 23180, 2765, 346, 275, 266, 280, 320, 317, 273, 268, 1321, 320, 2410, 274, 266, 280, 320, 15732, 2330, 325, 318, 275, 6357, 264, 815, 1422, 2765, 346, 276, 2410, 1321, 23180, 2765, 346, 273, 2410, 272, 17070, 15732, 1432, 781, 519, 1655, 1259, 547, 798, 865, 2496, 1892, 670, 842, 281, 1265, 543, 2328, 1524, 519, 5021, 1871, 1142, 1599, 666, 1491, 269, 1411, 666, 4734, 621, 538, 2474, 540, 513, 543, 536, 269, 1290, 7757, 7325, 476, 1321, 267, 476, 1001, 280, 693, 476, 274, 281, 1015, 454, 1892, 1215, 666, 621, 948, 286, 594, 2907, 917, 602, 281, 1269, 10946, 6600, 318, 272, 264, 2999, 476, 272, 269, 7871, 259, 630, 3602, 1269, 320, 284, 273, 270, 274, 259, 1070, 1269, 10946, 6600, 318, 273, 264, 2999, 476, 272, 269, 7597, 259, 630, 3602, 1269, 321, 284, 272, 259, 1070, 1269, 10946, 6600, 318, 274, 264, 2999, 476, 273, 269, 6734, 259, 630, 3602, 1269, 320, 284, 272, 270, 273, 259, 543, 1269, 321, 284, 271, 259, 1070, 543, 1269, 10946, 6600, 318, 275, 264, 2999, 476, 273, 269, 5655, 259, 630, 3602, 1269, 321, 284, 271, 30879, 1290, 7757, 7325, 476, 1321, 267, 476, 1001, 280, 693, 476, 274, 281, 736, 454, 1892, 594, 1294, 269, 2334, 4667, 2953, 269, 769, 602, 2013, 267, 972, 781, 1152, 835, 5021, 585, 1142, 1599, 1269, 325, 272, 267, 535, 273, 267, 535, 275, 10608, 634, 1152, 1599, 1141, 596, 666, 4188, 6724, 568, 1269, 325, 318, 274, 10608, 1290, 7757, 7325, 476, 1321, 267, 476, 1001, 280, 693, 476, 274, 281, 3451, 454, 1892, 590, 13446, 267, 594, 1589, 594, 31495, 2181, 1540, 519, 2243, 269, 634, 1101, 2626, 2630, 4667, 547, 581, 1318, 269, 1290, 7757, 7325, 476, 1321, 267, 476, 1001, 280, 693, 476, 1704, 281, 736, 454, 1892, 7711, 5271, 30658, 1122, 323, 9282, 972, 568, 930, 1498, 3297, 1250, 2626, 267, 594, 1131, 2965, 581, 5461, 547, 917, 952, 972, 568, 930, 811, 2489, 5650, 547, 10994, 713, 2186, 540, 2243, 269, 1290, 7757, 7325, 476, 1321, 267, 476, 1001, 280, 693, 476, 2641, 281, 2190, 692, 30860, 602, 3230, 325, 318, 273, 2330, 568, 2810, 543, 543, 3230, 325, 318, 275, 2330, 568, 13302, 269, 2311, 3230, 321, 318, 271, 815, 476, 10844, 270, 15836, 1422, 13627, 476, 271, 269, 7597, 272, 278, 3066, 2330, 649, 723, 3230, 325, 318, 273, 6357, 318, 271, 264, 815, 535, 318, 275, 6357, 318, 271, 14638, 269, 2913, 3230, 341, 815, 535, 318, 273, 6357, 318, 271, 14638, 543, 7747, 602, 3230, 341, 815, 476, 16960, 280, 270, 12010, 1422, 13627, 476, 272, 269, 6795, 279, 8660, 2330, 563, 2005, 5205, 602, 6695, 10946, 6600, 318, 272, 267, 535, 318, 273, 267, 325, 318, 274, 267, 535, 318, 275, 9385, 28254, 16435, 656, 1422, 10946, 6600, 318, 273, 267, 325, 318, 275, 264, 1422, 28254, 16435, 656, 642, 21974, 634, 1655, 649, 666, 4126, 585, 938, 5934, 568, 8754, 3230, 341 ]

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

[ 20173, 267, 513, 476, 1708, 272, 13849, 20400, 1705, 711, 6542, 606, 7681, 1063, 20173, 543, 717, 7563, 9860, 3066, 269, 901, 15739, 32735, 1063, 11841, 543, 9860, 538, 519, 13849, 20400, 4440, 9356, 519, 3448, 533, 14072, 640, 540, 9860, 2090, 563, 8469, 1756, 6077, 21729, 1529, 4345, 454, 28139, 6621, 4345, 12162, 6242, 568, 513, 11528, 27394, 8527, 1944, 21729, 1529, 4345, 602, 15866, 5540, 5420, 13355, 16757, 16209, 274, 269, 22031, 22807, 645, 3644, 630, 295, 29669, 264, 568, 513, 1134, 29627, 1758, 1242, 9594, 3968, 585, 4874, 6621, 4345, 12162, 6242, 267, 543, 670, 29669, 23938, 4874, 6621, 4345, 12162, 6242, 568, 1631, 9286, 607, 513, 5094, 2068, 269, 2060, 519, 4367, 540, 7839, 12674, 1996, 670, 29669, 267, 972, 814, 1044, 513, 5786, 538, 519, 8167, 540, 2550, 609, 4874, 6621, 4345, 12162, 6242, 945, 616, 7783, 609, 670, 29669, 6795, 269, 12443, 6621, 4345, 12162, 6242, 568, 6059, 547, 723, 606, 5993, 11841, 2557, 540, 476, 271, 269, 280, 1700, 279, 269, 271, 829, 2929, 538, 3864, 2477, 2568, 267, 8618, 267, 543, 513, 9860, 540, 476, 4029, 829, 2929, 6795, 267, 7830, 269, 12443, 6621, 4345, 12162, 6242, 666, 1860, 2550, 540, 782, 6803, 885, 267, 3335, 4386, 538, 2550, 9907, 476, 2412, 1700, 2568, 1296, 543, 267, 7429, 1034, 824, 2010, 540, 21729, 1529, 4345, 267, 814, 513, 5256, 3341, 16093, 766, 630, 332, 1446, 3562, 1922, 24580, 5223, 540, 476, 272, 269, 276, 281, 272, 264, 6795, 269, 769, 1840, 267, 4874, 6621, 4345, 12162, 6242, 666, 2049, 538, 7681, 609, 22686, 11335, 8611, 8287, 563, 298, 1177, 30245, 2068, 15320, 538, 1271, 2081, 689, 519, 824, 3029, 540, 21729, 1529, 4345, 4988, 538, 713, 5623, 269, 918, 1177, 30245, 2068, 3592, 14311, 5540, 1453, 630, 5952, 260, 540, 4299, 2550, 616, 896, 519, 2085, 540, 476, 276, 1296, 5038, 1070, 543, 519, 21729, 1529, 4345, 568, 1582, 29438, 1243, 267, 609, 782, 2550, 3100, 532, 547, 4625, 9156, 269, 6271, 3017, 568, 602, 519, 11528, 6553, 1282, 519, 8650, 5123, 540, 519, 4576, 568, 711, 16876, 547, 519, 27555, 3774, 855, 849, 5540, 519, 26961, 1756, 282, 26961, 4345, 676, 1277, 1670, 7355, 568, 513, 8471, 4466, 1282, 8650, 4576, 4792, 267, 5780, 269, 5463, 3547, 2663, 267, 1313, 641, 1910, 2090, 540, 2550, 609, 9649, 31729, 916, 945, 1185, 5892, 1185, 918, 1177, 30245, 2068, 1397, 27556, 267, 28043, 27470, 3564, 519, 11182, 13859, 676, 519, 4299, 16209, 6858, 267, 6924, 269, 634, 6090, 529, 540, 713, 27470, 568, 7334, 855, 621, 1223, 581, 519, 1267, 540, 1016, 30570, 267, 1159, 746, 1359, 2890, 341, 6018, 6553, 610, 540, 5312, 26961, 658, 6553, 269, 6271, 2189, 4183, 540, 918, 1177, 30245, 2068, 568, 922, 11944, 607, 513, 1007, 2783, 538, 5607, 1310, 2622, 2782, 4083, 7597, 267, 3583, 269, 634, 6228, 540, 918, 1177, 30245, 2068, 538, 3345, 3013, 538, 519, 13524, 543, 2038, 14206, 5553, 607, 513, 4686, 267, 25144, 14603, 2783, 1572, 10867, 850, 4874, 6621, 4345, 12162, 6242, 568, 6462, 676, 6476, 540, 1313, 3591, 625, 540, 2550, 609, 10867, 850, 4874, 6621, 4345, 12162, 6242, 543, 1346, 609, 918, 1177, 30245, 2068, 10170, 563, 763, 27496, 540, 918, 1177, 30245, 2068, 568, 606, 791, 13440, 1047, 2257, 607, 972, 568, 1100, 1808, 10368, 1449, 585, 519, 2783, 269, 918, 1177, 30245, 2068, 568, 8995, 593, 519, 4493, 540, 4791, 7355, 13745, 609, 8047, 2963, 540, 8650, 6553, 609, 610, 1510, 546, 7976, 540, 519, 18337, 16209, 676, 17464, 560, 1817, 25714, 20192, 18201, 25086, 269, 5606, 1218, 543, 1453, 1459, 609, 8611, 543, 11940, 665, 583, 10389, 19183, 1519, 31792, 2526, 13297, 267, 16420, 267, 22980, 29442, 320, 540, 519, 5711, 11940, 6242, 543, 2357, 332, 11669, 8473, 267, 17818, 9726, 23565, 14527, 543, 11926, 540, 519, 21053, 320, 540, 519, 3946, 543, 3952, 7761, 269, 9453, 2126, 267, 476, 1839, 260, 540, 1453, 786, 1020, 18337, 16050, 31729, 916, 602, 666, 1291, 547, 24405, 2670, 267, 26961, 658, 1102, 541, 794, 267, 2295, 5821, 610, 2669, 10463, 269, 9615, 609, 32326, 6375, 15644, 6081, 607, 606, 6375, 558, 617, 17419, 8665, 6971, 519, 11841, 540, 31729, 916, 547, 476, 274, 1700, 276, 260, 10619, 563, 298, 1177, 30245, 2068, 814, 1044, 4080, 538, 811, 982, 476, 2568, 4525, 17364, 2947, 17407, 4037, 269, 634, 27496, 540, 918, 1177, 30245, 2068, 814, 1044, 1034, 5693, 3989, 585, 3567, 267, 519, 4087, 609, 519, 5207, 1634, 11841, 538, 519, 1158, 267, 1141, 18102, 12220, 540, 10506, 609, 693, 2547, 476, 1911, 15135, 723, 1044, 5342, 1169, 476, 273, 1296, 2094, 476, 3192, 271, 630, 10915, 269, 10602, 1040, 13780, 4204, 8623, 12515, 540, 918, 1177, 30245, 2068, 538, 3567, 538, 476, 3192, 280, 267, 476, 2735, 273, 543, 476, 2735, 277, 941, 4553, 676, 20406, 2810, 2338, 540, 2665, 267, 3056, 547, 519, 1699, 11841, 2557, 540, 476, 3374, 280, 829, 476, 1911, 267, 1822, 1453, 2999, 276, 1296, 540, 2085, 269, 4340, 547, 519, 5767, 9193, 689, 3567, 267, 5111, 476, 272, 538, 1169, 476, 5038, 8695, 543, 476, 272, 538, 1169, 476, 3199, 6690, 786, 1020, 918, 1177, 30245, 2068, 1282, 519, 1101, 476, 1015, 1296, 540, 741, 1272, 6507, 269, 589, 4719, 32739, 547, 918, 1177, 30245, 2068, 568, 6462, 676, 922, 12136, 538, 1101, 24266, 14077, 540, 2550, 609, 519, 2068, 267, 519, 2799, 11841, 540, 918, 1177, 30245, 2068, 538, 1453, 540, 7489, 16350, 2713, 3544, 540, 5607, 267, 543, 519, 6602, 540, 4719, 14726, 602, 3310, 18687, 4281, 269, 634, 11841, 540, 918, 1177, 30245, 2068, 568, 1164, 2429, 29036, 5607, 267, 609, 11841, 3928, 829, 476, 1911, 267, 1822, 1453, 2999, 276, 1296, 540, 476, 4198, 538, 3162, 9705, 543, 476, 2568, 538, 15990, 8064, 267, 3199, 630, 8993, 269, 476, 273, 267, 4675, 11915, 7305, 476, 273, 1040, 5637, 540, 891, 4525, 723, 3084, 1072, 1949, 543, 18487, 12240, 602, 11863, 4977, 9477, 540, 2068, 11841, 269, 769, 824, 2694, 540, 5607, 267, 519, 3668, 540, 4977, 2551, 7194, 543, 513, 21438, 6538, 814, 8507, 538, 10462, 3823, 519, 11841, 540, 918, 1177, 30245, 2068, 269, 1280, 1383, 267, 538, 3127, 543, 3624, 267, 519, 1079, 1034, 29245, 4525, 540, 519, 1158, 267, 972, 568, 1100, 21438, 4015, 540, 1239, 547, 5351, 538, 2068, 27496, 269, 634, 27496, 540, 918, 1177, 30245, 2068, 538, 3624, 543, 3127, 814, 1044, 4628, 12649, 11992, 10037, 269, 16684, 569, 267, 18102, 2861, 2090, 689, 19864, 543, 29258, 723, 4080, 11841, 3928, 540, 476, 5379, 269, 274, 1700, 4649, 269, 272, 829, 476, 1911, 267, 1822, 1453, 9907, 2999, 276, 1296, 269, 634, 11944, 540, 918, 1177, 30245, 2068, 538, 3127, 568, 2219, 547, 581, 513, 2487, 12136, 543, 2013, 2338, 723, 1044, 20406, 8375, 267, 4352, 972, 568, 513, 7521, 607, 547, 2436, 713, 568, 1813, 547, 2799, 2013, 23754, 618, 610, 513, 3020, 8375, 11841, 11025, 269, 16842, 6284, 540, 918, 1177, 30245, 2068, 1522, 849, 581, 1813, 547, 513, 5786, 538, 6669, 1790, 516, 1203, 762, 3676, 602, 8915, 609, 16420, 543, 8611, 267, 543, 799, 666, 17932, 519, 4791, 2934, 540, 918, 1177, 30245, 2068, 10695, 269, 8307, 6237, 11841, 3928, 616, 2139, 585, 3127, 269, 769, 25941, 580, 541, 327, 538, 7187, 3127, 267, 11841, 3928, 689, 476, 1220, 280, 1700, 1001, 275, 723, 9867, 1063, 476, 272, 829, 476, 1911, 267, 1822, 543, 476, 280, 829, 476, 1911, 267, 1822, 1453, 9907, 2999, 276, 1296, 10019, 563, 28158, 543, 3345, 1977, 6753, 609, 3084, 1072, 2533, 543, 21438, 1239, 4015, 723, 4080, 11841, 3928, 829, 476, 1911, 267, 1822, 538, 1453, 9907, 2999, 276, 1296, 602, 2039, 689, 476, 866, 269, 277, 538, 4516, 547, 476, 275, 269, 276, 1700, 280, 269, 271, 538, 519, 5177, 543, 1034, 540, 2342, 5952, 267, 10436, 267, 9262, 267, 6434, 269, 8899, 3928, 723, 849, 1044, 4080, 538, 18940, 267, 13785, 543, 16157, 630, 1556, 269, 275, 267, 476, 276, 269, 275, 543, 476, 278, 269, 275, 829, 476, 1911, 267, 1822, 1453, 9907, 2999, 276, 1296, 267, 6606, 264, 8660, 269, 769, 519, 7330, 267, 11889, 12240, 723, 1044, 1031, 547, 7447, 519, 11411, 540, 2068, 269, 4635, 971, 12240, 267, 6059, 11841, 3928, 585, 918, 1177, 30245, 2068, 616, 5111, 476, 736, 829, 476, 1911, 267, 1822, 1453, 9907, 2999, 276, 1296, 3445, 269, 18370, 8826, 16917, 8344, 7634, 936, 513, 476, 1015, 4458, 1974, 689, 513, 3148, 538, 7013, 4993, 609, 513, 1804, 17104, 2551, 7000, 11841, 3928, 829, 476, 1911, 267, 1822, 1453, 9907, 2999, 276, 1296, 540, 476, 1691, 269, 280, 267, 476, 736, 543, 476, 2004, 585, 1453, 540, 3864, 267, 17104, 543, 7489, 610, 7414, 29474, 16350, 267, 6606, 5038, 563, 4504, 3419, 5224, 3344, 540, 918, 1177, 30245, 2068, 27496, 1331, 519, 3982, 2518, 4005, 1275, 267, 609, 19589, 538, 5162, 267, 5614, 543, 4571, 1606, 28026, 267, 543, 519, 13796, 543, 8901, 24159, 540, 2665, 11011, 267, 10844, 267, 11152, 267, 11463, 269, 3143, 2963, 6818, 547, 1489, 1268, 3562, 16512, 6771, 540, 918, 1177, 30245, 2068, 267, 543, 4791, 2934, 267, 1519, 17818, 9726, 23565, 14527, 267, 11876, 1513, 8864, 543, 1427, 5268, 31099, 522, 539, 9047, 267, 782, 2303, 513, 7929, 1448, 540, 7127, 4817, 267, 9834, 267, 9032, 269, 15783, 10881, 547, 519, 513, 564, 5735, 540, 918, 1177, 30245, 2068, 666, 581, 29742, 539, 689, 519, 2079, 540, 13796, 13421, 602, 2671, 3982, 4791, 543, 8047, 2934, 269, 634, 6228, 540, 891, 1016, 1790, 1156, 8040, 5267, 602, 918, 1177, 30245, 2068, 1522, 581, 15427, 676, 3309, 8069, 602, 1142, 6556, 13581, 7648, 538, 4791, 6881, 7176, 269, 589, 9670, 8343, 689, 519, 2250, 1032, 568, 519, 1804, 6175, 538, 519, 11841, 540, 918, 1177, 30245, 2068, 538, 3567, 543, 519, 7330, 1282, 519, 16568, 17336, 268, 273, 6855, 267, 799, 7028, 519, 8367, 602, 918, 1177, 30245, 2068, 568, 15427, 676, 31067, 20851, 11169, 602, 666, 581, 17808, 610, 4389, 676, 519, 946, 540, 11132, 9633, 532, 4200, 267, 1911, 269, 634, 7872, 540, 1279, 24365, 3560, 540, 20851, 11169, 5532, 547, 15088, 538, 918, 1177, 30245, 2068, 11841, 814, 1044, 6594, 538, 1312, 8832, 543, 8828, 12920, 7371, 12742, 11152, 267, 6200, 267, 9083, 269, 27321, 10009, 3270, 723, 1044, 4080, 602, 3095, 12798, 689, 27040, 3624, 609, 15088, 538, 11841, 3928, 540, 918, 1177, 30245, 2068, 538, 3567, 543, 12798, 689, 519, 2311, 659, 4821, 19164, 609, 918, 1177, 30245, 2068, 11841, 538, 7013, 16266, 9083, 267, 9818, 269, 2311, 2547, 538, 29036, 5607, 267, 4598, 547, 519, 1757, 894, 8069, 540, 918, 1177, 30245, 2068, 5170, 547, 2333, 543, 2013, 2338, 3136, 547, 20406, 18214, 10441, 563, 22102, 6077, 21729, 1529, 4345, 454, 8150, 309, 568, 513, 1895, 540, 1614, 2175, 15866, 7133, 1507, 8043, 267, 519, 1292, 2010, 1373, 11491, 592, 25959, 2670, 609, 4874, 30231, 4345, 630, 294, 5183, 1070, 18784, 4874, 30231, 4345, 630, 300, 5183, 264, 543, 552, 28009, 30858, 11491, 592, 25959, 2670, 609, 4874, 30231, 4345, 630, 9680, 5183, 264, 274, 630, 8368, 476, 272, 1040, 634, 11841, 540, 589, 16787, 814, 2799, 1282, 519, 2250, 476, 2412, 1296, 269, 634, 5916, 11841, 2557, 585, 717, 5183, 267, 631, 5183, 543, 661, 294, 5183, 689, 16157, 630, 1960, 280, 1700, 1001, 274, 264, 543, 519, 7330, 630, 1960, 277, 1700, 1001, 276, 264, 729, 1472, 476, 2190, 269, 278, 829, 2929, 538, 16157, 10755, 543, 476, 3451, 269, 271, 829, 2929, 538, 519, 7330, 11793, 267, 3379, 609, 513, 2557, 540, 1152, 476, 272, 269, 276, 829, 2929, 585, 717, 5183, 4805, 538, 519, 5177, 538, 519, 476, 2735, 271, 338, 13040, 269, 7612, 476, 274, 543, 4675, 11915, 7305, 476, 274, 17412, 519, 11841, 3928, 540, 589, 16787, 1472, 519, 8608, 2094, 476, 1220, 271, 269, 634, 2799, 4080, 11841, 568, 30289, 547, 4824, 2013, 6284, 1739, 519, 7839, 4367, 540, 4888, 7563, 4152, 538, 519, 476, 1960, 271, 338, 543, 519, 3498, 540, 7833, 267, 23344, 20541, 267, 8760, 7355, 269, 634, 7839, 10073, 540, 519, 476, 1960, 275, 30989, 10830, 3117, 7185, 8847, 585, 21729, 1529, 4345, 8507, 538, 519, 6284, 540, 631, 5183, 607, 606, 11769, 3982, 689, 4874, 6621, 4345, 12162, 6242, 277, 269, 2060, 519, 17019, 20541, 687, 540, 519, 8028, 305, 543, 30989, 10830, 3117, 7185, 7355 ]

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

[ 1765, 13069, 877, 835, 540, 519, 1034, 1271, 2645, 538, 4915, 281, 634, 1101, 968, 9404, 677, 531, 892, 1480, 2281, 6738, 538, 2528, 267, 799, 616, 1869, 9800, 2221, 267, 1498, 1352, 814, 1044, 4666, 585, 811, 982, 24239, 1296, 269, 1261, 17442, 2281, 941, 4105, 585, 3384, 519, 29887, 6669, 282, 20114, 11580, 540, 2860, 267, 8290, 267, 543, 519, 11046, 10514, 779, 2360, 282, 5280, 1291, 547, 1271, 8441, 899, 538, 20117, 22289, 267, 28295, 267, 543, 5444, 11837, 282, 543, 723, 1044, 11751, 543, 4421, 676, 519, 17542, 563, 21953, 28741, 24297, 700, 2931, 3788, 12303, 7164, 267, 12617, 538, 606, 796, 5658, 539, 18205, 563, 3963, 5749, 1406, 2451, 11804, 619, 17255, 888, 1432, 2306, 513, 22774, 5180, 888, 1692, 568, 513, 18558, 1547, 1547, 1547, 899, 513, 28764, 888, 4322, 949, 711, 1413, 899, 2979, 2055, 267, 855, 789, 616, 1765, 20357, 789, 782, 723, 547, 798, 609, 3270, 269, 1656, 6128, 267, 693, 2295, 267, 568, 519, 1353, 540, 3270, 563, 6546, 20185, 4957, 3798, 23135, 654, 5622, 779, 1272, 1765, 2421, 7432, 519, 968, 323, 787, 892, 1641, 646, 23487, 539, 538, 1164, 1153, 883, 513, 3808, 1652, 1391, 585, 6602, 269, 3767, 606, 8366, 20421, 2979, 4116, 267, 654, 5622, 12034, 3270, 10876, 281, 538, 519, 968, 1962, 534, 2583, 892, 540, 1973, 8043, 543, 17500, 267, 538, 519, 2208, 540, 513, 9806, 2272, 543, 513, 30011, 267, 1256, 538, 1010, 6640, 7484, 540, 7401, 2336, 2080, 616, 8938, 29350, 11116, 20695, 11271, 593, 519, 6456, 6310, 2261, 12069, 602, 17278, 938, 4757, 267, 17134, 656, 938, 12823, 267, 543, 1256, 1832, 721, 9800, 31539, 519, 20534, 6329, 649, 5873, 607, 968, 16443, 545, 892, 547, 519, 12357, 11344, 5223, 563, 1607, 1433, 786, 1689, 707, 2247, 827, 1018, 2979, 666, 581, 269, 1284, 616, 782, 4535, 22697, 11652, 898, 779, 513, 7089, 995, 2622, 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 ]

[ 3105, 2409, 602, 3812, 1175, 476, 2568, 829, 1298, 3077, 2281, 269, 634, 1007, 2281, 941, 1447, 2693, 547, 3132, 13311, 30219, 543, 3366, 547, 7378, 13297, 6954, 7280, 1852, 538, 3368, 519, 942, 950, 1098, 680, 5896, 883, 8983, 563, 763, 3173, 2303, 713, 10930, 543, 811, 6325, 1259, 547, 1332, 7378, 26148, 2281, 689, 513, 3461, 779, 1378, 1973, 1223, 5555, 1450, 1098, 17852, 1510, 519, 991, 585, 4550, 3146, 20287, 5061, 563, 14071, 1616, 547, 5372, 519, 991, 585, 7378, 24409, 609, 2281, 602, 3132, 519, 1482, 9449, 2443, 7378, 2443, 602, 786, 10038, 1973, 4006, 538, 513, 3501, 6073, 2223, 3081, 6276, 1744, 777, 10098, 267, 4516, 3194, 17348, 538, 3690, 8690, 17889, 543, 3204, 17654, 6925, 267, 7548, 540, 4915, 543, 10551, 593, 19223, 267, 543, 2212, 540, 519, 3798, 3000, 2023, 16257, 267, 799, 814, 4847, 476, 16020, 13003, 725, 540, 24603, 568, 2280, 2281, 2094, 621, 729, 1101, 2919, 476, 2641, 1296, 3516, 563, 13434, 760, 1801, 540, 24603, 2281, 1590, 1491, 4550, 3146, 20287, 5061, 585, 1272, 267, 543, 519, 3797, 568, 3908, 676, 519, 1507, 1297, 540, 24603, 8219, 2139, 563, 14071, 991, 513, 6565, 1591, 3070, 602, 2488, 513, 5732, 3970, 1652, 2707, 540, 2281, 2223, 3081, 1744, 777, 10098, 267, 968, 663, 649, 991, 513, 1259, 547, 1118, 1346, 2281, 865, 602, 789, 666, 1406, 581, 2938, 543, 6444, 607, 4914, 676, 519, 1560, 779, 4761, 1062, 3034, 763, 3173, 1491, 6565, 2281, 689, 513, 2582, 3461, 779, 1973, 543, 26947, 2842, 873, 1394, 538, 942, 267, 1287, 4464, 1586, 538, 513, 1184, 1572, 968, 323, 20526, 15285, 2223, 547, 5555, 1831, 7378, 26148, 2281, 563, 10527, 2281, 1031, 585, 713, 1382, 941, 25524, 28738, 6002, 267, 2281, 602, 666, 581, 2417, 21630, 538, 519, 2978, 547, 5352, 2281, 602, 5305, 7378, 2223, 3081, 715, 699, 320, 19923, 652, 320, 8566, 727, 345, 267, 513, 2022, 4777, 28118, 8284, 609, 519, 11916, 1772, 2280, 3690, 8690, 5358, 267, 799, 1744, 777, 10098, 1463, 338, 269, 968, 9961, 1346, 1985, 3268, 540, 15285, 267, 649, 3494, 602, 649, 786, 581, 2111, 547, 9004, 602, 2947, 547, 476, 1015, 829, 1298, 540, 2281, 602, 1705, 711, 1267, 538, 25524, 2281, 3034, 32381, 540, 2436, 519, 2281, 20705, 547, 513, 3461, 609, 7392, 476, 272, 610, 7392, 476, 273, 3987, 267, 610, 2576, 945, 814, 10551, 3987, 1813, 547, 8851, 540, 519, 18558, 267, 782, 519, 2281, 941, 2111, 547, 9258, 3987, 267, 19923, 652, 320, 8566, 727, 345, 4967, 563, 4537, 777, 10098, 1309, 1903, 602, 2417, 3106, 543, 12117, 2090, 786, 991, 547, 581, 5645, 856, 593, 519, 1505, 1354, 24328, 540, 6565, 16052, 23402, 568, 2280, 2281, 568, 4712, 585, 1480, 8062, 267, 855, 646, 568, 9599, 676, 519, 3356, 563, 18658, 649, 2461, 3843, 547, 798, 1934, 568, 9263, 936, 519, 16880, 543, 2119, 547, 4952, 1018, 3987, 1416, 568, 2469, 547, 1413, 899, 476, 1428, 267, 476, 736, 267, 476, 1789, 1296, 689, 1631, 2223, 646, 3081, 269, 968, 296, 1810, 1406, 1589, 1004, 786, 581, 7630, 532, 7378, 15042, 269, 594, 1810, 1406, 1589, 789, 3580, 581, 9849, 15450, 543, 8596, 3034, 28490, 594, 2992, 593, 519, 19469, 3987, 1382, 602, 594, 4076, 1044, 3238, 609, 936, 519, 2063, 476, 2412, 1296, 540, 1373, 3238, 609, 3987, 1382, 2094, 594, 729, 513, 2564, 2875, 267, 713, 568, 676, 2484, 519, 1034, 14427, 267, 519, 1034, 16529, 267, 855, 849, 519, 1034, 3078, 1788, 594, 4076, 1044, 3238, 538, 3034, 27270, 281, 19923, 652, 320, 8566, 727, 345, 715, 267, 7638, 21539, 742, 918, 267, 667, 611, 515, 3663, 715, 267, 1696, 620, 269, 11083, 4281, 277, 278, 8992, 25524, 28738, 3218, 15285, 540, 1480, 1775, 4916, 12336, 269, 25745, 8426, 18614, 269, 476, 1708, 274, 281, 306, 21854, 3607, 278, 12208, 4968, 2412, 278, 272, 269, 8222, 281, 476, 1015, 269, 6200, 277, 10768, 269, 980, 13062, 269, 1708, 274, 269, 1015, 269, 22650, 454, 1607, 2376, 814, 1044, 1065, 21242, 689, 519, 1739, 2326, 269, 8074, 281, 1570, 949, 723, 1044, 12995, 585, 3259, 543, 1543, 269, 1280, 2417, 1344, 267, 5225, 3346, 519, 11855, 2707, 269, 0, 763, 1292, 2856, 3297, 2973, 4189, 568, 547, 2824, 3536, 602, 616, 607, 2673, 607, 2009, 547, 875, 789, 941, 1500, 538, 2470, 269, 1924, 3442, 4195, 267, 2898, 3536, 3079, 540, 1346, 602, 2097, 538, 10833, 267, 11435, 267, 610, 824, 15004, 269, 6056, 827, 513, 2898, 9269, 3079, 540, 13792, 3694, 539, 9269, 5546, 610, 1483, 4829, 3079, 540, 4829, 10433, 2861, 10733, 3240, 16152, 563, 2026, 513, 22429, 267, 952, 596, 3251, 2476, 689, 3810, 9268, 3536, 899, 3943, 535, 1845, 267, 12897, 267, 543, 4712, 3562, 3887, 520, 6980, 267, 596, 4465, 1406, 3548, 607, 1082, 8477, 610, 607, 1454, 6070, 267, 4006, 267, 543, 15459, 3170, 269, 3367, 593, 547, 1265, 856, 875, 547, 3548, 2973, 563, 29493, 4934, 1520, 4765, 17491, 454, 2750, 947, 633, 946, 540, 3773, 4006, 568, 2404, 609, 3875, 1072, 2042, 267, 1519, 2597, 2744, 543, 9025, 2068, 269, 16639, 543, 10425, 609, 3773, 4006, 1058, 581, 17515, 689, 519, 2732, 607, 851, 540, 519, 5912, 547, 513, 8902, 267, 2973, 2732, 269, 2422, 2635, 8925, 547, 707, 5172, 26265, 547, 26193, 26351, 543, 3251, 593, 3950, 1247, 596, 2973, 909, 707, 2732, 563, 292, 520, 2859, 29759, 1656, 29641, 454, 15933, 338, 1164, 538, 5567, 1331, 5388, 543, 5613, 269, 1358, 2461, 669, 1442, 2407, 540, 5567, 267, 1519, 6775, 267, 8324, 267, 6886, 267, 543, 2030, 6464, 602, 666, 948, 2569, 6553, 543, 2149, 707, 2281, 689, 3441, 269, 3509, 2090, 723, 1336, 513, 9756, 1063, 4189, 6266, 540, 5613, 543, 5388, 543, 513, 2539, 4960, 540, 3384, 3978, 3676, 899, 2860, 543, 2295, 2068, 563, 7197, 4195, 5388, 543, 5613, 666, 581, 13881, 6151, 1175, 1310, 1373, 13603, 543, 18233, 267, 1818, 873, 3501, 585, 513, 2973, 2732, 269, 11370, 3539, 5214, 1426, 814, 1044, 3254, 547, 3970, 4598, 547, 5739, 13851, 543, 568, 4061, 6225, 547, 1072, 269, 1403, 596, 1616, 547, 2087, 707, 1072, 267, 621, 779, 1655, 547, 3548, 513, 9962, 3099, 540, 5613, 543, 5388, 538, 2489, 267, 2436, 789, 616, 5214, 610, 711, 269, 9578, 267, 596, 666, 2141, 1039, 9360, 689, 1773, 11294, 636, 715, 4405, 1023, 952, 596, 1745, 596, 2461, 711, 3478, 2614, 540, 519, 824, 5567, 596, 991, 1317, 596, 2461, 2519, 593, 5388, 563, 2252, 596, 1810, 1406, 917, 1141, 547, 1376, 950, 621, 2501, 547, 5388, 267, 2015, 519, 2856, 540, 2048, 324, 908, 519, 22774, 9957, 901, 1797, 3843, 547, 723, 607, 1082, 10477, 3536, 593, 707, 6676, 607, 2009, 269, 7822, 995, 1797, 2635, 267, 543, 6960, 610, 581, 15607, 1797, 14432, 1107, 693, 2547, 267, 602, 779, 519, 2013, 1034, 540, 519, 942, 267, 543, 621, 1058, 948, 596, 3314, 1018, 547, 798, 563, 10673, 1406, 16202, 10791, 16639, 454, 10144, 945, 616, 3843, 547, 6336, 2597, 1419, 3548, 968, 323, 2884, 892, 3536, 899, 1970, 19339, 27156, 267, 2732, 10425, 267, 7594, 10682, 13063, 267, 543, 824, 3688, 602, 616, 9277, 547, 948, 596, 6336, 2597, 269, 634, 1966, 568, 602, 891, 3536, 666, 723, 513, 2603, 540, 3773, 4006, 267, 4006, 31431, 267, 543, 29089, 2510, 269, 1280, 1383, 267, 513, 3368, 2275, 1575, 540, 1970, 19339, 18506, 666, 723, 607, 1454, 607, 476, 2537, 10101, 540, 4006, 563, 2005, 779, 2965, 1655, 547, 3251, 2476, 689, 2732, 3536, 610, 1970, 19339, 3536, 952, 596, 1616, 547, 581, 2635, 267, 543, 23578, 547, 513, 2973, 2732, 568, 513, 1454, 1732, 4781, 269, 7994, 2898, 267, 1875, 1673, 2884, 3536, 899, 10750, 267, 2407, 19339, 18506, 543, 2067, 24113, 7423, 609, 1100, 3773, 4006, 950, 596, 2461, 593, 513, 2973, 4189, 1544, 563, 6826, 5516, 995, 2986, 17865, 454, 12024, 4006, 267, 1034, 540, 721, 3548, 1259, 1932, 1454, 9770, 269, 634, 4659, 540, 6925, 3081, 602, 596, 12582, 1406, 1205, 811, 982, 476, 273, 267, 4968, 31501, 540, 9770, 829, 1554, 267, 799, 568, 827, 835, 23188, 540, 6070, 269, 901, 1131, 581, 2653, 547, 4308, 609, 952, 596, 941, 2386, 540, 519, 2179, 540, 6070, 596, 2461, 4189, 267, 855, 1705, 596, 917, 602, 32210, 2600, 540, 519, 6070, 649, 3548, 2501, 689, 4712, 13402, 267, 9268, 13418, 3536, 286, 4475, 267, 952, 596, 3548, 1447, 9268, 1426, 267, 596, 3580, 3548, 1447, 6070, 1317, 1034, 26437, 3536, 723, 811, 9770, 982, 19471, 3536, 563, 8196, 11922, 267, 14546, 267, 20521, 267, 17310, 3282, 267, 543, 16693, 547, 1039, 8137, 547, 707, 1426, 3079, 540, 6070, 950, 596, 3434, 269, 17865, 568, 1271, 585, 8744, 856, 519, 8137, 540, 3536, 543, 666, 1869, 581, 1031, 538, 2973, 3887, 908, 10346, 267, 855, 1152, 538, 1507, 5666, 269, 1879, 20057, 1194, 593, 693, 519, 1439, 540, 5986, 267, 21432, 4262, 6070, 610, 737, 657, 615, 6070, 666, 1039, 513, 2603, 540, 8137, 269, 1358, 849, 723, 1447, 9770, 982, 3349, 6070, 267, 865, 4352, 1869, 711, 7357, 2635, 267, 789, 2461, 711, 607, 16609, 607, 824, 2010, 540, 6070, 563, 300, 7002, 2776, 6137, 29452, 454, 2252, 596, 1118, 513, 19619, 540, 6980, 693, 2899, 585, 519, 3018, 267, 596, 3580, 723, 4195, 267, 2635, 3681, 1169, 1554, 269, 898, 849, 8952, 596, 689, 1818, 3983, 1426, 3664, 950, 596, 2461, 17237, 269, 1280, 1383, 267, 952, 596, 917, 596, 723, 513, 8949, 7594, 2907, 1500, 543, 7996, 538, 519, 26806, 267, 596, 1522, 711, 3247, 693, 513, 3728, 1426, 1747, 585, 513, 2656, 11116, 563, 2791, 1522, 1616, 547, 4444, 513, 3819, 268, 518, 848, 4604, 585, 707, 10051, 865, 596, 666, 2328, 1524, 7594, 4566, 267, 17365, 8638, 267, 543, 2093, 585, 10346, 269, 769, 713, 1259, 267, 596, 4465, 1406, 1205, 12758, 543, 3914, 585, 1491, 719, 1317, 596, 2461, 711, 2386, 1018, 3116, 547, 798, 269, 0, 290, 7394, 11818, 14498, 543, 5726, 1419, 1445, 593, 7893, 3270, 630, 324, 3052, 1421, 2249, 685, 11606, 264, 543, 2242, 972, 514, 998, 942, 630, 324, 3052, 1421, 23229, 1040, 5221, 519, 5817, 3157, 5935, 891, 3270, 616, 1419, 711, 1134, 6594, 267, 2359, 7840, 2611, 1419, 5667, 24594, 267, 6941, 4460, 21502, 324, 6359, 269, 5502, 267, 519, 4763, 543, 2249, 5888, 540, 8978, 610, 2370, 27780, 716, 539, 18625, 568, 1031, 607, 513, 4704, 585, 2048, 1440, 25434, 685, 11818, 2950, 543, 11818, 2359, 568, 4397, 547, 11441, 4724, 13059, 12936, 18625, 1394, 4724, 891, 1666, 3894, 269, 769, 1082, 6753, 267, 2705, 267, 972, 568, 2370, 4960, 540, 2048, 516, 2914, 843, 532, 685, 18625, 547, 8978, 2175, 1813, 547, 519, 5571, 2115, 543, 5222, 540, 1480, 5095, 630, 328, 4318, 1421, 10068, 267, 32132, 946, 267, 2916, 10593, 1916, 4913, 267, 972, 616, 849, 1082, 18625, 1472, 519, 1158, 602, 856, 704, 845, 6788, 2016, 519, 5054, 789, 616, 538, 267, 543, 513, 3395, 1560, 540, 2963, 2982, 602, 27712, 267, 543, 824, 11818, 7103, 267, 666, 581, 811, 14388, 543, 8465, 982, 12926, 10924, 269, 6270, 1806, 1331, 18625, 17005, 2282, 5230, 1480, 1646, 267, 11174, 27712, 1065, 641, 6819, 28811, 4683, 18625, 543, 2978, 268, 571, 2213, 14147, 5104, 32596, 7914, 11034, 532, 1985, 5481, 676, 6397, 4028, 2208, 543, 30508, 12093, 269, 9741, 4674, 568, 9859, 547, 14236, 891, 856, 704, 14127, 18625, 543, 519, 3157, 6117, 741, 2208, 543, 18094, 563, 4407, 519, 2518, 4110, 540, 14147, 7771, 568, 6157, 702, 5142, 727, 267, 4974, 11108, 543, 856, 12656, 14127, 27712, 543, 14147, 11818, 4609, 666, 1689, 875, 649, 2911, 827, 11818, 2530, 267, 6051, 1761, 267, 2359, 3681, 267, 543, 519, 2804, 1871, 540, 18625, 269, 898, 849, 666, 1217, 3209, 2359, 7459, 602, 616, 1759, 593, 519, 7915, 27532, 4390, 540, 1459, 6377, 18625, 2864, 982, 998, 519, 3498, 540, 8733, 3741, 1462, 4328, 18625, 689, 519, 2250, 267, 2588, 26508, 1099, 1993, 1460, 525, 610, 798, 558, 543, 1350, 7112, 20261, 563, 30267, 269, 631, 269, 21502, 324, 6359, 267, 7548, 540, 23427, 13149, 17905, 281, 2052, 8647, 18625, 538, 6397, 6753, 3391, 14147, 14498, 543, 5726, 538, 513, 1974, 540, 4028, 1689, 888, 2791, 666, 4585, 713, 22305, 1116, 11000, 1934, 269, 0, 8967, 582, 16164, 9435, 609, 606, 16316, 11929, 3528, 9400, 623, 2728, 3960, 328, 267, 11022, 267, 12729, 5516 ]

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

[ 827, 1950, 2338, 269, 13018, 267, 594, 6415, 3206, 602, 585, 1022, 1950, 1297, 4399, 6234, 1990, 259, 609, 6207, 1871, 476, 272, 267, 4399, 6234, 1990, 315, 28235, 346, 345, 13157, 272, 8961, 5916, 609, 519, 1249, 602, 4399, 6234, 1990, 18898, 268, 272, 284, 271, 259, 543, 865, 4399, 6234, 1422, 28235, 346, 345, 11892, 333, 268, 272, 284, 259, 13718, 2252, 713, 568, 811, 982, 596, 917, 267, 1287, 621, 781, 711, 2182, 547, 1592, 782, 32671, 5072, 540, 9322, 12799, 543, 1287, 4137, 856, 519, 538, 951, 525, 602, 1259, 269, 4746, 267, 952, 596, 917, 875, 519, 32671, 5072, 540, 9322, 616, 4092, 538, 519, 1950, 7077, 543, 875, 8691, 540, 1950, 2338, 8591, 7285, 543, 12750, 625, 6207, 2418, 267, 1287, 4466, 693, 2547, 835, 11718, 12582, 1405, 581, 1932, 3983, 780, 2252, 596, 2811, 711, 2386, 827, 519, 12166, 2070, 540, 1950, 2338, 543, 741, 4238, 594, 9364, 2303, 1565, 602, 1317, 621, 2306, 2042, 899, 713, 865, 1454, 4443, 547, 14650, 563, 1892, 3967, 476, 2420, 526, 476, 1001, 272, 267, 476, 6734, 281, 866, 6751, 454, 290, 1886, 291, 13831, 454, 1692, 568, 713, 286, 1284, 616, 1869, 538, 519, 1101, 3018, 540, 713, 1362, 630, 629, 5724, 7223, 264, 865, 594, 6415, 711, 2386, 875, 11826, 646, 26770, 721, 547, 581, 780, 4131, 4399, 6234, 772, 259, 581, 519, 1305, 540, 4399, 6234, 562, 259, 628, 5072, 540, 9322, 267, 609, 2609, 4399, 6234, 513, 259, 543, 4399, 6234, 536, 10608, 3973, 4399, 6234, 513, 3867, 333, 13157, 272, 259, 543, 4399, 6234, 536, 3867, 333, 13157, 272, 10608, 1403, 649, 9062, 1312, 5011, 540, 4399, 6234, 513, 3867, 333, 13157, 272, 259, 593, 519, 1318, 676, 4399, 6234, 536, 3867, 333, 4151, 649, 723, 692, 7445, 6234, 513, 3867, 333, 348, 321, 3867, 333, 13157, 321, 3867, 333, 21456, 7445, 6234, 630, 629, 22722, 333, 13157, 321, 3867, 333, 10592, 3719, 2094, 4399, 6234, 536, 3867, 333, 13157, 272, 259, 649, 723, 4399, 6234, 630, 629, 22722, 333, 13157, 272, 259, 543, 4061, 4399, 6234, 705, 259, 568, 606, 4399, 6234, 562, 259, 628, 3597, 540, 9322, 269, 9747, 267, 4399, 6234, 705, 22174, 772, 16859, 7712, 476, 272, 568, 606, 3961, 3693, 538, 4399, 6234, 1422, 13992, 346, 290, 23685, 9392, 4151, 543, 4399, 6234, 476, 272, 3867, 333, 13157, 272, 8961, 519, 3961, 3693, 538, 4399, 6234, 1422, 13992, 346, 290, 23685, 9392, 4151, 568, 849, 538, 4399, 6234, 772, 16859, 7661, 267, 1577, 519, 11201, 540, 4399, 6234, 513, 3867, 333, 4151, 581, 4399, 6234, 513, 13064, 333, 23201, 4595, 4399, 6234, 513, 13064, 333, 13157, 263, 320, 3867, 333, 16585, 13064, 272, 13157, 272, 13064, 272, 13157, 272, 8961, 649, 723, 602, 4399, 6234, 513, 13064, 333, 13157, 272, 10608, 9747, 267, 4399, 6234, 513, 13064, 333, 4153, 514, 772, 259, 563, 1892, 3967, 476, 2420, 526, 476, 1001, 272, 267, 476, 6860, 281, 4097, 6751, 454, 288, 1188, 2041, 564, 454, 2791, 991, 547, 1397, 602, 4399, 6234, 513, 13064, 272, 4153, 514, 772, 267, 259, 711, 4399, 6234, 513, 13064, 333, 4153, 514, 772, 269, 14204, 1892, 3967, 476, 2537, 6113, 476, 1001, 272, 267, 476, 5881, 281, 5881, 7537, 454, 290, 1886, 291, 13831, 454, 25105, 9811, 267, 1134, 602, 568, 513, 1350, 2130, 12161, 256, 8729, 585, 707, 948, 269, 594, 4312, 3893, 513, 4743, 602, 594, 3513, 723, 1896, 811, 2055, 2429, 519, 19496, 780, 7661, 267, 1577, 519, 11201, 540, 4399, 6234, 513, 259, 581, 4399, 6234, 513, 13064, 272, 23201, 4595, 4399, 6234, 630, 320, 13064, 272, 348, 8203, 333, 30381, 13064, 333, 13157, 263, 320, 3867, 333, 16585, 13064, 272, 13157, 272, 13064, 272, 13157, 272, 8961, 649, 723, 602, 4399, 6234, 513, 13064, 272, 4151, 568, 606, 4399, 6234, 562, 259, 628, 3597, 540, 9322, 269, 9747, 267, 4399, 6234, 513, 13064, 272, 4153, 514, 772, 259, 563, 1892, 3967, 476, 2190, 628, 476, 1001, 272, 267, 476, 4962, 281, 2190, 7537, 454, 288, 1188, 2041, 564, 454, 14738, 269, 2334, 5654, 1732, 563, 1892, 3967, 476, 2918, 628, 476, 1001, 272, 267, 476, 6187, 281, 6078, 7537, 454, 290, 1886, 291, 13831, 454, 15916, 1586, 10484, 296, 3494, 602, 594, 723, 1336, 513, 1966, 609, 1250, 6169, 269, 2755, 594, 723, 3254, 602, 513, 1305, 4399, 6234, 772, 259, 9967, 540, 519, 4399, 6234, 562, 259, 628, 5072, 540, 9322, 1106, 513, 32299, 540, 4399, 6234, 1422, 13992, 346, 290, 23685, 9392, 20954, 594, 723, 711, 3254, 602, 4399, 6234, 772, 259, 568, 28023, 267, 610, 602, 621, 568, 540, 1931, 4399, 6234, 562, 16859, 296, 993, 2186, 320, 588, 22981, 607, 547, 875, 594, 1058, 979, 827, 6029, 713, 269, 2755, 621, 4667, 6654, 602, 1250, 6169, 6585, 585, 1022, 7060, 540, 4399, 6234, 513, 8961, 519, 3390, 4667, 602, 519, 1931, 540, 4399, 6234, 772, 259, 1223, 581, 12808, 780, 15987, 1206, 888, 1892, 3967, 476, 2918, 628, 476, 1001, 272, 267, 476, 6187, 281, 5325, 7537, 454, 288, 1188, 2041, 564, 454, 12648, 513, 6251, 1413, 693, 18573, 781, 2022, 1948, 476, 273, 269, 1703, 781, 513, 11718, 972, 563, 1892, 3967, 476, 2918, 628, 476, 1001, 272, 267, 476, 5881, 281, 2764, 7537, 454, 299, 29793, 9155, 25187, 7922, 690, 454, 2026, 585, 7654, 1373, 12808, 267, 972, 616, 1896, 2081, 547, 1397, 602, 621, 3884, 1405, 269, 1411, 666, 8044, 602, 972, 616, 1152, 1710, 7019, 1082, 4025, 519, 3597, 666, 9114, 593, 519, 1770, 5858, 269, 1280, 1383, 267, 835, 476, 277, 628, 3597, 540, 9322, 2306, 606, 5086, 540, 476, 11740, 270, 277, 5232, 609, 519, 1483, 7852, 269, 901, 786, 834, 2998, 1472, 257, 519, 5858, 2899, 593, 922, 7552, 547, 476, 272, 269, 1809, 513, 1448, 666, 849, 979, 1472, 7466, 269, 901, 1131, 5330, 547, 606, 5086, 540, 476, 11740, 270, 274, 269, 17652, 518, 610, 2663, 596, 1376, 547, 10956, 2798, 780, 9827, 267, 596, 666, 1397, 602, 606, 12808, 28023, 1895, 568, 568, 25806, 547, 4399, 6234, 1422, 30848, 315, 13992, 346, 313, 9574, 1341, 315, 26917, 10608, 769, 602, 1895, 519, 3830, 4399, 6234, 1535, 18898, 284, 272, 259, 1131, 581, 2854, 4399, 6234, 562, 343, 284, 271, 259, 1210, 19605, 10035, 269, 901, 3830, 1152, 814, 835, 3070, 538, 4399, 6234, 1422, 30848, 315, 13992, 346, 313, 9574, 1341, 315, 26917, 8961, 6466, 519, 7222, 3830, 538, 519, 1895, 540, 5072, 540, 9322, 814, 693, 2547, 562, 780, 8170, 1576, 519, 15864, 1259, 568, 1175, 547, 1045, 5803, 519, 1249, 602, 606, 32671, 4110, 9971, 538, 1022, 2361, 666, 723, 693, 1034, 562, 21325, 269, 1403, 596, 2811, 4847, 547, 8263, 713, 1287, 621, 781, 519, 15864, 1259, 547, 979, 269, 0, 13043, 338, 6092, 538, 2296, 692, 3682, 7257, 543, 13809, 4813, 10358, 543, 570, 9581, 538, 2296, 692, 3682, 7257, 543, 13809, 4813, 10358, 543, 570, 9581, 538, 2296, 281, 769, 713, 2985, 267, 596, 786, 1451, 827, 30825, 543, 13809, 4569, 4813, 10358, 543, 570, 9581, 267, 1109, 3682, 21793, 267, 10374, 570, 9581, 538, 2296, 269, 901, 1888, 568, 1360, 1271, 585, 1169, 8013, 11400, 7041, 269, 1924, 1354, 23312, 585, 1022, 981, 1224, 891, 2110, 15361, 543, 3137, 5402, 827, 26844, 5999, 609, 10374, 570, 9581, 543, 7778, 780, 3682, 7257, 543, 13809, 13174, 4813, 10358, 538, 2296, 692, 763, 2179, 6976, 547, 6718, 606, 2376, 610, 519, 3902, 693, 799, 606, 2376, 568, 1500, 267, 568, 1634, 607, 922, 1942, 3902, 269, 634, 1942, 3902, 568, 28484, 607, 595, 10422, 780, 306, 2454, 12313, 281, 1109, 763, 3902, 693, 799, 606, 2376, 568, 4421, 267, 568, 1634, 607, 922, 9513, 3902, 269, 634, 9513, 3902, 568, 28484, 607, 590, 10422, 780, 3682, 7257, 281, 1109, 2252, 519, 9513, 3902, 630, 306, 10422, 4700, 540, 606, 2376, 568, 3152, 982, 519, 1942, 3902, 630, 290, 10422, 4700, 2073, 1287, 519, 3017, 1063, 519, 9513, 3902, 543, 1942, 3902, 568, 1572, 7443, 780, 13295, 267, 1403, 590, 10422, 269, 3436, 595, 10422, 1421, 1287, 692, 3682, 7257, 815, 590, 10422, 269, 1107, 595, 10422, 780, 22382, 590, 10422, 269, 815, 595, 10422, 269, 1341, 30825, 692, 22382, 595, 10422, 269, 815, 590, 10422, 269, 1107, 30825, 780, 7078, 476, 272, 281, 589, 6300, 24010, 1207, 903, 3621, 26732, 538, 13557, 585, 12652, 269, 476, 1428, 1142, 269, 1261, 23619, 873, 585, 12652, 269, 476, 2412, 1142, 269, 12433, 519, 7443, 593, 1142, 9498, 538, 8297, 701, 525, 267, 543, 607, 513, 6871, 540, 519, 1942, 3902, 780, 11405, 281, 1109, 11693, 281, 1942, 3902, 815, 12652, 269, 476, 1428, 267, 9513, 3902, 815, 12652, 269, 476, 2412, 692, 3682, 7257, 815, 9513, 3902, 1107, 1942, 3902, 815, 12652, 269, 476, 2412, 1107, 476, 1428, 815, 12652, 269, 476, 1839, 692, 1492, 7443, 607, 513, 6871, 540, 519, 1942, 3902, 1384, 3682, 7257, 4939, 25883, 260, 815, 476, 14917, 269, 278, 30515, 299, 1601, 281, 1109, 2252, 519, 9513, 3902, 630, 306, 10422, 4700, 540, 606, 2376, 568, 1447, 982, 519, 1942, 3902, 630, 290, 10422, 4700, 2073, 1287, 519, 3017, 1063, 519, 1942, 3902, 630, 290, 10422, 4700, 543, 519, 9513, 3902, 630, 306, 10422, 4700, 568, 1572, 2530, 780, 13295, 267, 952, 590, 10422, 269, 2999, 595, 10422, 1421, 1287, 13809, 815, 595, 10422, 269, 1107, 590, 10422, 269, 2340, 18568, 595, 10422, 269, 815, 590, 10422, 269, 1341, 13809, 2340, 18568, 590, 10422, 269, 815, 595, 10422, 269, 1107, 13809, 692, 7078, 476, 273, 281, 1403, 519, 1942, 3902, 540, 513, 1433, 568, 12652, 269, 476, 5611, 543, 9513, 3902, 568, 476, 15389, 269, 2004, 267, 1287, 5173, 519, 2530, 543, 6871, 2530, 593, 519, 1433, 2496, 11405, 281, 1109, 2080, 267, 1942, 3902, 815, 12652, 269, 476, 5611, 692, 663, 9513, 3902, 815, 12652, 269, 476, 15389, 269, 2004, 692, 30043, 299, 1601, 815, 8779, 3902, 1107, 9513, 3902, 692, 284, 12652, 269, 630, 5611, 1107, 476, 15389, 269, 2004, 264, 815, 12652, 269, 476, 1321, 269, 2004, 692, 3086, 267, 20587, 720, 13809, 692, 30515, 260, 815, 476, 279, 269, 3451, 30515, 30022, 518, 6396, 547, 4194, 519, 2055, 692, 2691, 1942, 3902, 543, 6871, 7443, 616, 2016, 267, 1287, 9513, 3902, 692, 284, 1942, 3902, 692, 7078, 476, 274, 281, 589, 11381, 729, 12349, 585, 12652, 269, 476, 30420, 543, 4421, 693, 513, 7443, 540, 476, 1015, 10065, 4855, 519, 9513, 3902, 780, 11405, 281, 1109, 8794, 519, 4542, 692, 306, 2454, 3902, 815, 1942, 3902, 692, 284, 476, 30420, 815, 12652, 269, 476, 276, 1704, 692, 2691, 1942, 3902, 543, 6871, 2530, 616, 2016, 267, 1287, 692, 306, 2454, 3902, 815, 1942, 3902, 692, 7078, 476, 275, 281, 589, 1268, 11751, 513, 3349, 585, 12652, 269, 476, 22213, 543, 4421, 693, 519, 2530, 540, 476, 1428, 260, 1547, 4855, 519, 9513, 3902, 540, 3349, 2496, 11405, 281, 1109, 306, 2454, 3902, 815, 1942, 3902, 692, 284, 12652, 269, 476, 22213, 692, 284, 12652, 269, 476, 3374, 278, 692, 2691, 9513, 3902, 543, 6871, 7443, 616, 2016, 267, 1287, 692, 21798, 3902, 815, 9513, 3902, 692, 7078, 476, 276, 281, 589, 17348, 729, 4421, 585, 12652, 269, 476, 276, 1704, 693, 513, 7443, 540, 476, 1015, 10065, 4855, 519, 1942, 3902, 540, 519, 11381, 780, 11405, 281, 1109, 2080, 267, 9513, 3902, 815, 12652, 269, 476, 276, 1704, 543, 7443, 815, 476, 1015, 30515, 30043, 8779, 3902, 815, 9513, 3902, 692, 284, 476, 276, 1704, 6398, 1109, 284, 12652, 269, 476, 30420, 692, 2691, 9513, 3902, 543, 6871, 2530, 616, 2016, 267, 1287, 692, 21798, 3902, 815, 9513, 3902, 692, 7078, 476, 277, 281, 10548, 4421, 513, 4585, 585, 12652, 269, 476, 4391, 277, 693, 513, 2530, 540, 476, 277, 10065, 4855, 519, 1942, 3902, 540, 519, 4585, 780, 11405, 1384, 21798, 3902, 815, 9513, 3902, 692, 284, 12652, 269, 476, 4391, 277, 6398, 692, 284, 12652, 269, 476, 4391, 277, 6398, 1109, 284, 12652, 269, 476, 6110, 692, 2252, 1079, 3688, 616, 4421, 1142, 693, 8297, 701, 525, 681, 267, 835, 693, 513, 2744, 540, 1535, 260, 543, 824, 693, 513, 2530, 540, 1535, 4939, 267, 972, 568, 2141, 606, 2949, 2530, 2016, 676, 260, 543, 519, 1871, 540, 2530, 568, 2016, 676, 1109, 780, 1103, 2013, 519, 1942, 3902, 540, 1312, 519, 3688, 568, 519, 1482, 543, 6871 ]

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

[ 13460, 609, 10792, 8654, 723, 513, 2352, 942, 9363, 5059, 543, 1565, 3927, 269, 17006, 6899, 27939, 5079, 585, 13460, 543, 1353, 2127, 666, 948, 2327, 1053, 723, 519, 2702, 547, 1445, 543, 1451, 1247, 1373, 17159, 269, 0, 3963, 3486, 5026, 7939, 2115, 6963, 454, 763, 4703, 602, 936, 5408, 3486, 5026, 267, 899, 674, 9281, 288, 543, 519, 594, 8016, 267, 991, 606, 936, 3873, 592, 547, 1711, 606, 1256, 543, 4023, 4730, 2361, 454, 7712, 476, 1001, 276, 267, 13558, 779, 1158, 12044, 1560, 267, 674, 9281, 288, 267, 814, 5185, 6811, 540, 7839, 13313, 543, 513, 2475, 10456, 4972, 7634, 883, 536, 1026, 525, 6976, 547, 3486, 8387, 563, 763, 7634, 814, 2938, 1279, 6066, 674, 9281, 288, 7022, 1530, 653, 2349, 2660, 6569, 689, 5604, 543, 1082, 824, 1164, 8573, 21403, 13558, 17531, 13062, 1846, 543, 16984, 17049, 689, 519, 7328, 563, 29012, 267, 3486, 7328, 814, 1044, 3413, 21719, 676, 7928, 543, 15151, 11528, 10350, 543, 13313, 23215, 1023, 899, 713, 267, 609, 1713, 27900, 849, 16109, 538, 519, 21396, 543, 538, 7619, 923, 563, 3719, 2864, 982, 1373, 513, 19588, 540, 835, 11325, 2042, 267, 891, 23215, 1023, 666, 581, 2938, 607, 2963, 540, 2620, 5498, 730, 2152, 538, 519, 4909, 2497, 540, 875, 7328, 568, 18170, 563, 2467, 568, 513, 1483, 1966, 693, 519, 2295, 540, 875, 3486, 7328, 568, 2196, 543, 538, 875, 519, 1876, 605, 1186, 909, 713, 26843, 1062, 269, 21637, 568, 2712, 326, 1836, 2877, 563, 1103, 1142, 7328, 267, 972, 568, 513, 1560, 602, 605, 8010, 338, 3294, 519, 6852, 267, 1158, 17253, 12044, 1560, 269, 1452, 14540, 3635, 741, 1582, 22190, 31212, 1909, 547, 1852, 543, 1118, 3573, 3652, 15725, 1142, 7328, 269, 2368, 5352, 17542, 540, 9489, 538, 8907, 1142, 1032, 563, 11101, 267, 12044, 4703, 899, 519, 4139, 16727, 9730, 630, 296, 8016, 264, 543, 674, 9281, 288, 3635, 1713, 1852, 936, 1367, 5171, 269, 1358, 10038, 711, 1152, 519, 2932, 540, 5716, 543, 9845, 593, 519, 5026, 2361, 267, 855, 849, 875, 789, 7118, 741, 24454, 269, 1358, 3914, 2620, 883, 1018, 1131, 7363, 581, 2808, 5716, 543, 9845, 685, 4357, 2729, 563, 8170, 1576, 267, 3486, 7328, 666, 1152, 1599, 609, 7833, 543, 5812, 3652, 269, 1924, 267, 1247, 1880, 3652, 666, 581, 23503, 267, 621, 779, 7608, 972, 2115, 547, 581, 835, 1560, 547, 1827, 1142, 7328, 563, 3719, 713, 568, 1141, 519, 4295, 1966, 609, 519, 2497, 540, 5026, 10350, 14340, 563, 763, 30049, 626, 5026, 12044, 4703, 616, 711, 11347, 540, 267, 6862, 18177, 547, 267, 1346, 936, 7247, 789, 3635, 1852, 269, 2311, 2547, 11180, 6608, 1107, 8726, 2042, 789, 949, 1995, 1107, 616, 6038, 11221, 676, 267, 543, 18177, 547, 267, 1346, 789, 1827, 269, 901, 568, 711, 519, 2013, 538, 7328, 563, 763, 5318, 5354, 540, 5171, 538, 7328, 723, 1100, 2161, 267, 2047, 610, 18549, 267, 936, 519, 13393, 540, 1346, 945, 1118, 519, 3664, 543, 3652, 602, 4019, 547, 873, 563, 2690, 1383, 267, 519, 1034, 3532, 3486, 10480, 3130, 267, 519, 594, 8016, 267, 568, 538, 9759, 513, 1582, 5498, 22162, 4357, 8630, 609, 519, 2818, 8159, 945, 26082, 873, 269, 769, 11176, 267, 674, 9281, 288, 779, 3375, 24237, 616, 6074, 676, 519, 476, 1220, 610, 865, 4759, 3084, 10480, 518, 725, 563, 8448, 982, 513, 18351, 1297, 540, 9845, 9516, 543, 12912, 676, 519, 594, 8016, 3294, 267, 1100, 1367, 19002, 610, 6345, 568, 513, 4759, 267, 610, 814, 1022, 2161, 538, 519, 4341, 24237, 685, 20499, 563, 1607, 7472, 513, 4909, 11180, 17211, 282, 519, 10350, 20816, 540, 3486, 5026, 2887, 896, 519, 18348, 532, 3310, 540, 6207, 1379, 563, 3383, 10470, 1058, 723, 513, 4105, 1909, 538, 27459, 2358, 891, 4703, 685, 3573, 4357, 7060, 269, 1809, 19890, 267, 1346, 945, 723, 6743, 547, 519, 10470, 585, 4027, 1996, 519, 17062, 1379, 540, 5026, 12044, 4703, 723, 1419, 1044, 25922, 563, 26765, 958, 267, 519, 9431, 1852, 540, 3486, 5026, 12044, 4703, 568, 3592, 24080, 1107, 855, 4636, 569, 1107, 9833, 607, 9844, 2861, 267, 607, 1379, 27361, 676, 17319, 12205, 267, 3335, 998, 4357, 1876, 11731, 269, 30271, 1219, 518, 547, 519, 1379, 540, 519, 12044, 4703, 563, 4913, 267, 713, 1523, 568, 3710, 593, 3656, 535, 11881, 543, 568, 2150, 523, 762, 269, 634, 3652, 540, 513, 12044, 1560, 899, 674, 9281, 288, 1810, 1406, 4096, 593, 1022, 1367, 16045, 779, 9844, 282, 789, 7500, 607, 513, 1106, 540, 29610, 268, 5586, 529, 3175, 269, 1358, 21246, 958, 3635, 1875, 15926, 839, 783, 267, 543, 17062, 267, 632, 1249, 334, 4357, 1379, 563, 1607, 568, 1500, 2009, 676, 519, 26771, 2990, 540, 3486, 10480, 518, 725, 538, 7328, 779, 25327, 267, 5916, 609, 519, 2189, 4390, 540, 5026, 685, 12044, 4703, 685, 547, 20818, 741, 1378, 24476, 1510, 8506, 11268, 2962, 998, 1533, 3656, 1949, 563, 1607, 632, 1249, 334, 1379, 568, 6462, 676, 519, 1875, 15926, 839, 783, 7040, 540, 1488, 4226, 1674, 585, 22505, 267, 513, 5513, 26915, 602, 568, 15868, 547, 7500, 676, 3084, 3656, 1949, 593, 519, 4493, 540, 1175, 5874, 602, 616, 8915, 569, 16283, 563, 2691, 10470, 798, 4283, 883, 513, 15539, 936, 606, 3635, 540, 1379, 676, 513, 7328, 779, 12044, 1560, 267, 519, 24648, 527, 1493, 4357, 1379, 540, 519, 12044, 1560, 568, 7301, 569, 1226, 730, 609, 519, 15698, 540, 519, 5716, 543, 5171, 936, 7247, 519, 1379, 568, 27361, 563, 288, 811, 4977, 1620, 540, 9431, 1379, 538, 3486, 7328, 568, 2877, 547, 25666, 14849, 543, 2556, 15024, 563, 2171, 991, 547, 21028, 519, 1699, 12512, 568, 24648, 527, 1493, 267, 543, 602, 519, 9844, 2861, 3656, 1523, 540, 5026, 12044, 4703, 685, 6392, 568, 16283, 563, 21156, 267, 649, 991, 547, 1711, 513, 5150, 3656, 5748, 585, 9431, 1379, 538, 7328, 269, 4139, 7328, 3340, 606, 3486, 3070, 282, 513, 3656, 15007, 602, 2636, 4703, 547, 1827, 11307, 2954, 543, 609, 519, 3617, 6392, 1131, 581, 513, 10950, 6304, 563, 7804, 5131, 14315, 568, 519, 2278, 540, 3204, 6819, 4139, 22505, 267, 3370, 676, 5696, 650, 563, 289, 534, 1676, 3239, 281, 5192, 1399, 16103 ]

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

[ 11907, 26644, 17806, 23917, 2260, 273, 30727, 543, 630, 343, 283, 11907, 9884, 5954, 264, 543, 630, 344, 283, 263, 11907, 269, 19417, 264, 8029, 2018, 1239, 3052, 877, 9359, 539, 815, 6936, 1477, 2018, 1239, 269, 4565, 2931, 31282, 815, 6936, 1477, 2018, 1239, 6983, 343, 815, 1535, 1477, 2018, 1239, 269, 1097, 815, 586, 1477, 1363, 1477, 7462, 19352, 2353, 10310, 5992, 5897, 3698, 2721, 5472, 263, 4754, 11663, 267, 1239, 8029, 825, 1948, 19352, 17461, 1477, 825, 16009, 815, 678, 326, 321, 21803, 263, 14838, 267, 476, 23211, 267, 476, 15704, 3418, 825, 17198, 269, 22056, 318, 5550, 4120, 263, 271, 267, 271, 267, 11907, 9884, 5954, 267, 11907, 269, 19417, 267, 6445, 284, 11927, 2073, 8700, 284, 271, 3418, 24541, 825, 12361, 19352, 7170, 24897, 1012, 1477, 825, 952, 1239, 26644, 306, 10547, 6769, 1363, 1477, 1038, 12361, 19352, 7170, 1012, 1477, 1038, 17198, 269, 22056, 26748, 16597, 9884, 5954, 2260, 273, 267, 11907, 269, 19417, 29688, 273, 267, 3667, 8782, 294, 4599, 513, 3659, 543, 23184, 256, 3299, 15640, 8782, 18872, 3299, 13944, 8782, 295, 10679, 339, 3821, 1412, 1341, 1193, 16597, 26644, 17806, 23917, 264, 1341, 1412, 12050, 20298, 13376, 1477, 1038, 12361, 19352, 1809, 27971, 1012, 1477, 1363, 1477, 1038, 1948, 24375, 1676, 1477, 1038, 17198, 269, 22056, 318, 5550, 4120, 16597, 9884, 5954, 29688, 273, 267, 263, 11907, 269, 19417, 29688, 275, 264, 910, 1239, 269, 31728, 17806, 23917, 267, 11907, 9884, 5954, 29688, 279, 267, 263, 11907, 269, 19417, 29688, 275, 264, 1341, 1239, 269, 31728, 17806, 23917, 267, 6445, 284, 834, 13582, 14744, 1038, 17198, 269, 22056, 26748, 16597, 9884, 5954, 2260, 273, 267, 11907, 269, 19417, 29688, 275, 267, 3667, 8782, 32271, 10670, 1676, 3299, 15640, 8782, 18872, 3299, 13944, 8782, 295, 10679, 339, 3821, 1412, 1341, 1193, 16597, 269, 31728, 17806, 23917, 264, 1341, 1412, 12050, 20298, 1038, 1948, 1103, 23059, 1477, 1038, 17198, 269, 22056, 318, 5550, 4120, 16597, 9884, 5954, 29688, 273, 267, 263, 11907, 269, 19417, 29688, 277, 264, 910, 1239, 269, 31728, 17806, 23917, 267, 11907, 9884, 5954, 29688, 279, 267, 263, 11907, 269, 19417, 29688, 277, 264, 1341, 1239, 269, 31728, 17806, 23917, 267, 6445, 815, 834, 344, 3641, 14744, 1038, 17198, 269, 22056, 26748, 16597, 9884, 5954, 2260, 273, 267, 11907, 269, 19417, 29688, 277, 267, 3667, 8782, 32271, 29329, 3299, 15640, 8782, 18872, 3299, 13944, 8782, 295, 10679, 339, 3821, 1412, 1341, 1193, 16597, 269, 31728, 17806, 23917, 264, 1341, 1412, 12050, 20298, 1038, 1948, 28723, 1477, 1038, 17198, 269, 22056, 318, 5550, 4120, 16597, 9884, 5954, 29688, 273, 267, 263, 11907, 269, 19417, 29688, 279, 264, 910, 1239, 269, 31728, 17806, 23917, 267, 11907, 9884, 5954, 29688, 279, 267, 263, 11907, 269, 19417, 29688, 279, 264, 1341, 1239, 269, 31728, 17806, 23917, 267, 6445, 815, 834, 1042, 14744, 1038, 17198, 269, 22056, 26748, 16597, 9884, 5954, 2260, 273, 267, 11907, 269, 19417, 29688, 279, 267, 3667, 8782, 32271, 5917, 534, 1386, 3299, 15640, 8782, 18872, 3299, 13944, 8782, 295, 10679, 339, 3821, 1412, 1341, 1193, 16597, 269, 31728, 17806, 23917, 264, 1341, 1412, 12050, 20298, 13376, 1477, 825, 12361, 19352, 519, 8274, 10794, 1012, 1477, 825, 3116, 6769, 1038, 1948, 19352, 8274, 1477, 1038, 585, 4737, 538, 2039, 16597, 269, 4580, 29228, 269, 4900, 8029, 2018, 585, 897, 538, 2039, 16597, 269, 4580, 29228, 31815, 338, 8029, 3546, 23451, 284, 1205, 28053, 289, 2432, 16597, 269, 4580, 29228, 267, 4737, 267, 897, 3418, 3546, 17198, 269, 22056, 318, 5550, 4120, 6357, 2432, 11859, 271, 267, 23451, 13885, 271, 267, 23451, 11859, 272, 267, 23451, 13885, 272, 267, 6445, 284, 11927, 267, 7291, 8782, 18872, 20298, 4449, 1477, 1038, 1948, 19352, 7638, 23753, 25373, 21506, 1038, 952, 1239, 269, 611, 2381, 300, 1712, 543, 1239, 20481, 294, 5090, 26213, 6769, 2018, 585, 4737, 538, 2039, 16597, 269, 591, 23753, 294, 5090, 269, 4900, 8029, 3546, 585, 897, 538, 2039, 16597, 269, 591, 23753, 294, 5090, 31815, 338, 8029, 7386, 23451, 284, 1205, 28053, 289, 2432, 16597, 269, 591, 23753, 294, 5090, 267, 4737, 267, 897, 3418, 7386, 17198, 269, 22056, 318, 5550, 4120, 6357, 2432, 11859, 271, 267, 23451, 13885, 271, 267, 23451, 11859, 272, 267, 23451, 13885, 272, 267, 7291, 8782, 1097, 534, 20298, 1363, 1477, 1038, 1948, 19352, 853, 2158, 1477, 1038, 585, 4737, 538, 2039, 16597, 269, 591, 23753, 294, 5090, 269, 4900, 8029, 2018, 585, 897, 538, 2039, 16597, 269, 591, 23753, 294, 5090, 31815, 338, 8029, 3546, 6149, 815, 1239, 14714, 2158, 314, 992, 6012, 3712, 15947, 3546, 952, 6149, 269, 10233, 2652, 834, 18872, 257, 6769, 7386, 1711, 1805, 821, 263, 4754, 11663, 267, 7723, 3418, 3546, 8640, 6149, 269, 10233, 2652, 834, 19009, 257, 6769, 7386, 1711, 1805, 821, 263, 4754, 11663, 267, 7723, 3418, 4449, 1477, 1038, 1948, 14611, 32386, 29502, 1477, 1038, 952, 711, 1239, 269, 611, 2381, 300, 1712, 543, 711, 1239, 269, 16557, 29228, 6769, 2018, 17198, 269, 22056, 318, 5550, 4120, 16597, 9884, 5954, 29688, 275, 267, 263, 11907, 269, 19417, 29688, 4962, 264, 910, 630, 11907, 269, 31728, 17806, 23917, 2260, 273, 1070, 11907, 9884, 5954, 29688, 277, 267, 263, 11907, 269, 19417, 29688, 4962, 264, 1341, 630, 11907, 269, 31728, 17806, 23917, 2260, 273, 1070, 6445, 815, 16009, 3418, 2018, 17198, 269, 22056, 26748, 16597, 9884, 5954, 2260, 273, 267, 11907, 269, 19417, 29688, 4962, 267, 3667, 8782, 14611, 32386, 3299, 15640, 8782, 18872, 3299, 13944, 8782, 295, 10679, 339, 3821, 1412, 1341, 1193, 16597, 269, 31728, 17806, 23917, 2260, 273, 264, 1341, 1412, 12050, 20298, 4449, 24541, 1038, 1948, 3849, 2381, 25042, 1477, 1038, 952, 711, 1239, 269, 16557, 29228, 6769, 2018, 952, 1239, 269, 611, 2381, 300, 1712, 6769, 3546, 1948, 3719, 2023, 570, 5281, 5682, 1477, 3546, 17198, 269, 22056, 318, 5550, 4120, 16597, 9884, 5954, 29688, 275, 267, 263, 11907, 269, 19417, 29688, 272, 264, 910, 630, 11907, 269, 31728, 17806, 23917, 2260, 273, 1070, 11907, 9884, 5954, 29688, 277, 267, 263, 11907, 269, 19417, 29688, 272, 11924, 263, 11907, 269, 31728, 17806, 23917, 2260, 273, 1070, 6445, 815, 834, 13582, 14744, 3546, 17198, 269, 22056, 26748, 16597, 9884, 5954, 2260, 273, 267, 11907, 269, 19417, 29688, 272, 267, 3667, 8782, 3849, 2381, 25042, 3299, 15640, 8782, 18872, 3299, 13944, 8782, 295, 10679, 339, 3821, 1412, 1341, 1193, 16597, 269, 31728, 17806, 23917, 2260, 273, 264, 1341, 1412, 12050, 20298, 3546, 1948, 7230, 913, 12942, 29502, 1477, 3546, 17198, 269, 22056, 318, 5550, 4120, 16597, 9884, 5954, 29688, 275, 267, 263, 11907, 269, 19417, 29688, 4962, 264, 910, 630, 11907, 269, 31728, 17806, 23917, 2260, 273, 1070, 11907, 9884, 5954, 29688, 277, 267, 263, 11907, 269, 19417, 29688, 4962, 11924, 263, 11907, 269, 31728, 17806, 23917, 2260, 273, 1070, 6445, 815, 16009, 3418, 3546, 17198, 269, 22056, 26748, 16597, 9884, 5954, 2260, 273, 267, 11907, 269, 19417, 29688, 4962, 267, 3667, 8782, 7230, 913, 12942, 3299, 15640, 8782, 18872, 3299, 13944, 8782, 295, 10679, 339, 3821, 1412, 1341, 1193, 16597, 269, 31728, 17806, 23917, 2260, 273, 264, 1341, 1412, 12050, 20298, 3546, 952, 1239, 31927, 1805, 821, 6769, 7386, 17198, 269, 22056, 318, 5550, 4120, 16597, 9884, 5954, 29688, 275, 267, 263, 11907, 269, 19417, 29688, 4962, 9984, 263, 11907, 269, 31728, 17806, 23917, 2260, 273, 1070, 11907, 9884, 5954, 29688, 277, 267, 263, 11907, 269, 19417, 29688, 4962, 11924, 263, 11907, 269, 31728, 17806, 23917, 2260, 273, 1070, 15640, 815, 834, 1042, 14744, 7386, 17198, 269, 22056, 26748, 16597, 9884, 5954, 2260, 273, 267, 11907, 269, 19417, 29688, 4962, 267, 3667, 8782, 7230, 913, 12942, 3299, 15640, 8782, 18872, 3299, 13944, 8782, 295, 10679, 339, 3821, 1412, 1341, 1193, 16597, 269, 31728, 17806, 23917, 2260, 273, 264, 1341, 1412, 12050, 20298, 2018, 3116, 6769, 3546, 17198, 269, 22056, 318, 5550, 4120, 16597, 9884, 5954, 29688, 275, 267, 263, 11907, 269, 19417, 29688, 272, 264, 910, 630, 11907, 269, 31728, 17806, 23917, 2260, 273, 1070, 11907, 9884, 5954, 29688, 277, 267, 263, 11907, 269, 19417, 29688, 272, 264, 1341, 630, 11907, 269, 31728, 17806, 23917, 2260, 273, 1070, 6445, 815, 16009, 3418, 3546, 17198, 269, 22056, 26748, 16597, 9884, 5954, 2260, 273, 267, 11907, 269, 19417, 29688, 272, 267, 3667, 8782, 3849, 2381, 25042, 3299, 15640, 8782, 18872, 3299, 13944, 8782, 295, 10679, 339, 3821, 1412, 1341, 1193, 16597, 269, 31728, 17806, 23917, 2260, 273, 264, 1341, 1412, 12050, 20298, 17264, 1477, 1038, 1948, 30360, 10794, 29502, 1477, 1038, 952, 1239, 269, 16557, 29228, 6769, 2018, 17198, 269, 22056, 26748, 16597, 9884, 5954, 2260, 273, 267, 11907, 269, 19417, 29688, 4962, 267, 3667, 8782, 12812, 16458, 853, 2158, 6969, 2480, 1681, 3299, 15640, 8782, 18872, 3299, 13944, 8782, 295, 10679, 339, 3821, 1412, 1341, 1193, 17301, 16597, 269, 31728, 17806, 23917, 2260, 273, 269, 276, 4297, 1341, 1412, 12050, 20298, 2018, 17198, 269, 22056, 318, 5550, 4120, 16597, 9884, 5954, 29688, 275, 267, 263, 11907, 269, 19417, 29688, 272, 264, 910, 630, 11907, 269, 31728, 17806, 23917, 2260, 273, 1070, 11907, 9884, 5954, 29688, 277, 267, 263, 11907, 269, 19417, 29688, 272, 264, 1341, 630, 11907, 269, 31728, 17806, 23917, 2260, 273, 1070, 6445, 815, 16009, 3418, 2018, 17198, 269, 22056, 26748, 16597, 9884, 5954, 2260, 273, 267, 11907, 269, 19417, 29688, 272, 267, 3667, 8782, 30360, 10794, 256, 3299, 15640, 8782, 18872, 3299, 13944, 8782, 295, 10679, 339, 3821, 1412, 1341, 1193, 16597, 269, 31728, 17806, 23917, 2260, 273, 264, 1341, 1412, 12050, 20298, 17264, 1477, 1038, 1948, 296, 331, 29729, 8844, 7956, 1477, 1038, 952, 1239, 269, 4068, 6549, 31161, 6769, 2018, 17198, 269, 22056, 26748, 16597, 9884, 5954, 2260, 273, 267, 11907, 269, 19417, 2260, 273, 267, 3667, 8782, 296, 331, 29729, 8844, 256, 8347, 11088, 3299, 15640, 8782, 1042, 3299, 13944, 8782, 295, 10679, 339, 3821, 1412, 1341, 1193, 16597, 26644, 17806, 23917, 264, 1341, 1412, 12050, 20298, 24541, 1038, 1948, 14937, 781, 17121, 630, 29381, 3418, 1038, 17198, 269, 22056, 26748, 16597, 9884, 5954, 29688, 273, 267, 11907, 269, 19417, 29688, 4962, 267, 3667, 8782, 14937, 3299, 15640, 8782, 18872, 3299, 13944, 8782, 295, 10679, 339, 3821, 1412, 1341, 1193, 16597, 269, 31728, 17806, 23917, 2260, 273, 264, 1341, 1412, 12050, 20298, 1038, 17198, 269, 22056, 26748, 16597, 9884, 5954, 29688, 272, 267, 11907, 269, 19417, 29688, 272, 267, 3667, 8782, 290, 2194, 999, 281, 1412, 1341, 1193, 16597, 6983, 2194, 3293, 19669, 1070, 15640, 8782, 18872, 3299, 13944, 8782, 295, 10679, 339, 3821, 1412, 1341, 1193, 16597, 269, 31728, 17806, 23917, 2260, 273, 264, 1341, 1412, 12050, 20298, 1038, 952, 1239, 269, 4565, 2931, 31282, 6769, 2018, 1948, 14937, 10361, 518, 1477, 2018, 17198, 269, 22056, 318, 5550, 4120, 16597, 9884, 5954, 29688, 272, 267, 263, 11907, 269, 19417, 29688, 4962, 9984, 263, 11907, 269, 31728, 17806, 23917, 2260, 273, 1070, 11907, 9884, 5954, 29688, 274, 267, 263, 11907, 269, 19417, 29688, 4962, 11924, 263, 11907, 269, 31728, 17806, 23917, 2260, 273, 1070, 15640, 6889, 18872, 14744, 2018, 17198, 269, 22056, 26748, 16597, 9884, 5954, 29688, 273, 267, 11907, 269, 19417, 29688, 4962, 267, 3667, 8782, 14937, 3299, 15640, 8782, 19009, 3299, 13944, 8782, 295, 10679, 339, 3821, 1412, 1341, 1193, 16597, 269, 31728, 17806, 23917, 2260, 273, 264, 1341, 1412, 12050, 20298, 2018, 1948, 14937, 10426, 29502, 1477, 2018, 952, 711, 1239, 269, 611, 2381, 300, 1712, 543, 711, 1239, 269, 16557, 29228, 6769, 3546, 17198, 269, 22056, 318, 5550, 4120, 16597, 9884, 5954, 29688, 1839, 267, 263, 11907, 269, 19417, 29688, 272, 9984, 263, 11907, 269, 31728, 17806, 23917, 2260, 273, 1070, 11907, 9884, 5954, 29688, 3374, 267, 263, 11907, 269, 19417, 29688, 272, 11924, 263, 11907, 269, 31728, 17806, 23917, 2260, 273, 1070, 15640, 284, 11927, 3418, 3546, 17198, 269, 22056, 26748, 16597, 9884, 5954, 29688, 274, 267, 11907, 269, 19417, 29688, 272, 267, 3667, 8782, 27879, 3299, 15640, 8782, 14937, 3299, 13944, 8782, 295, 10679, 339, 3821, 1412, 1341, 1193, 16597, 269, 31728, 17806, 23917, 2260, 273, 264, 1341, 1412, 12050, 20298, 17264, 1477, 1038, 1948, 19669, 781, 17121, 630, 14738, 264, 21506, 1038, 17198, 269, 22056, 26748, 16597, 9884, 5954, 29688, 279, 267, 11907, 269, 19417, 29688, 4962, 267, 3667, 8782, 19669, 3299, 15640, 8782, 18872, 3299, 13944, 8782, 295, 10679, 339, 3821, 1412, 1341, 1193, 16597, 269, 31728, 17806, 23917, 2260, 273, 264, 1341, 1412, 12050, 20298, 1038, 17198, 269, 22056, 26748, 16597, 9884, 5954, 29688, 280, 267, 11907 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2162, 5851, 3436, 595, 7563, 288, 279, 3436, 3848, 476, 1556, 5149, 476, 1321, 3436, 7689, 595, 7563, 281, 476, 1556, 269, 274, 269, 272, 3436, 9046, 1556, 268, 10602, 692, 1556, 268, 10602, 780, 24066, 10663, 519, 4082, 2630, 950, 1269, 343, 284, 2767, 259, 543, 1269, 344, 284, 1626, 16859, 259, 277, 343, 3867, 273, 270, 274, 348, 344, 3867, 272, 270, 275, 4153, 10383, 1535, 13064, 272, 348, 344, 3867, 272, 270, 273, 10592, 9359, 676, 28976, 519, 4082, 563, 8855, 602, 950, 596, 9062, 2338, 609, 519, 1482, 3490, 267, 1109, 596, 666, 1039, 519, 23055, 1927, 780, 259, 277, 13375, 3287, 3867, 17353, 2765, 346, 273, 348, 274, 346, 3686, 348, 343, 13064, 272, 4153, 2431, 9385, 3847, 12169, 17353, 2765, 346, 272, 2410, 275, 3686, 344, 17353, 2765, 346, 272, 2410, 273, 14990, 2431, 22491, 259, 277, 13375, 3287, 17353, 2765, 346, 273, 2410, 274, 18511, 272, 4153, 2431, 9385, 3847, 12169, 17353, 2765, 346, 272, 2410, 275, 23180, 2765, 346, 272, 2410, 273, 14990, 2431, 22491, 259, 277, 343, 3867, 10559, 2765, 346, 272, 2410, 274, 3686, 344, 17353, 2765, 346, 274, 2410, 275, 32556, 27802, 3482, 519, 2016, 2418, 585, 1269, 343, 259, 543, 1269, 344, 259, 1287, 14458, 563, 293, 3555, 531, 23055, 2099, 513, 1379, 543, 513, 3597, 563, 763, 3597, 568, 5462, 676, 519, 14009, 267, 543, 519, 1379, 676, 519, 19362, 563, 2690, 1383, 267, 519, 20800, 585, 1269, 1626, 259, 1797, 519, 1269, 275, 259, 628, 3597, 540, 1269, 1626, 259, 6659, 547, 519, 1269, 274, 259, 6113, 1379, 780, 259, 277, 13375, 263, 2767, 3867, 10559, 2765, 346, 272, 2410, 274, 14990, 2431, 9385, 3847, 263, 1626, 17353, 2765, 346, 274, 2410, 275, 14990, 2431, 22491, 259, 277, 13375, 7268, 2765, 346, 272, 2410, 274, 4153, 2431, 7565, 279, 22491, 259, 1626, 259, 0, 1892, 5530, 12754, 454, 1892, 10812, 692, 20776, 3272, 692, 265, 2659, 4879, 568, 1360, 1271, 585, 5355, 519, 960, 540, 5841, 4987, 267, 799, 3029, 519, 1543, 540, 713, 1788, 692, 291, 17805, 1644, 2035, 692, 299, 3430, 823, 2203, 630, 325, 12099, 264, 28957, 267, 1413, 1575, 692, 289, 2435, 3406, 3529, 28957, 267, 1413, 1575, 692, 289, 2435, 3529, 28957, 267, 1413, 1575, 692, 11328, 1998, 3529, 28957, 267, 1413, 1575, 692, 16446, 1700, 18872, 3529, 28957, 267, 1413, 1575, 692, 289, 2389, 872, 28957, 267, 1413, 1575, 692, 9558, 5296, 454, 3499, 7419, 4353, 8991, 14510, 5508, 23333, 6865, 19447, 267, 590, 6020, 29135, 25605, 454, 7419, 4353, 8991, 14510, 5508, 23333, 6865, 19447, 590, 29558, 5357, 5508, 19766, 308, 16249, 454, 291, 9680, 12767, 5508, 645, 3722, 4047, 299, 3036, 5508, 5442, 19489, 7246, 3582, 570, 22379, 630, 12327, 9898, 2793, 299, 994, 10907, 27854, 5729, 476, 1001, 277, 1107, 476, 273, 526, 5729, 22410, 1107, 12054, 6856, 476, 275, 454, 3951, 25148, 276, 1107, 14691, 4083, 454, 8512, 476, 272, 910, 13038, 14893, 7726, 7433, 454, 272, 628, 5239, 267, 476, 1001, 277, 454, 263, 24535, 670, 21788, 994, 30131, 27491, 10778, 27949, 371, 454, 763, 8653, 540, 519, 1957, 568, 476, 272, 630, 821, 264, 5662, 563, 27949, 371, 454, 763, 5420, 540, 6044, 543, 2055, 568, 2296, 563, 27949, 371, 454, 763, 1957, 814, 476, 1839, 2055, 543, 476, 5400, 3817, 563, 27949, 371, 454, 5472, 2055, 616, 540, 519, 14330, 304, 630, 21296, 14893, 5999, 264, 1826, 563, 27949, 371, 454, 27949, 371, 454, 10376, 2243, 786, 723, 476, 276, 630, 325, 633, 264, 5079, 609, 835, 610, 811, 2953, 4267, 563, 27949, 371, 454, 5472, 2055, 786, 4163, 3160, 7436, 563, 27949, 371, 454, 2467, 786, 581, 513, 15163, 585, 11234, 6114, 547, 25339, 27378, 563, 27949, 371, 454, 763, 1665, 2016, 585, 513, 2243, 786, 4268, 689, 476, 271, 630, 5472, 519, 11234, 5079, 616, 6825, 1299, 1100, 454, 322, 8091, 5079, 616, 6825, 264, 547, 1341, 272, 630, 5472, 519, 2953, 5079, 616, 6825, 1299, 1100, 11234, 454, 577, 7860, 616, 6825, 1916, 27949, 371, 454, 27949, 371, 454, 9616, 602, 2055, 2408, 593, 1312, 5011, 540, 519, 1957, 563, 2252, 513, 2985, 568, 711, 9102, 267, 5225, 1217, 519, 28643, 5612, 563, 27949, 371, 454, 15812, 519, 2953, 5079, 593, 519, 2243, 1957, 1101, 543, 1287, 4483, 873, 547, 519, 2016, 454, 13318, 15297, 2016, 593, 519, 824, 2427, 540, 519, 2626, 6656, 1354, 596, 12094, 707, 454, 322, 8091, 5079, 563, 272, 454, 272, 264, 14597, 835, 12204, 606, 5044, 540, 4557, 9981, 1210, 844, 6506, 677, 267, 543, 952, 646, 24172, 814, 1175, 8737, 519, 454, 14140, 15652, 532, 607, 5205, 563, 1321, 267, 476, 279, 267, 1724, 267, 3393, 267, 8660, 267, 7761, 267, 4649, 267, 7761, 267, 6858, 267, 5952, 454, 7617, 3948, 4433, 264, 568, 270, 732, 2953, 888, 5416, 264, 634, 22141, 1223, 581, 476, 3393, 267, 855, 621, 568, 711, 476, 4649, 454, 6357, 264, 8307, 2009, 22141, 1871, 568, 476, 1724, 454, 6262, 264, 634, 22141, 1871, 1223, 581, 519, 476, 1724, 267, 855, 621, 568, 711, 476, 279, 454, 5560, 264, 8307, 2009, 22141, 1871, 568, 476, 3393, 454, 16216, 264, 634, 22141, 1871, 1223, 581, 2901, 476, 1321, 610, 519, 476, 3393, 454, 273, 994, 274, 994, 275, 994, 1432, 616, 519, 10782, 30924, 267, 3328, 2013, 543, 1655, 2013, 4881, 2053, 6606, 585, 32686, 1076, 454, 31374, 5690, 547, 4990, 606, 5044, 540, 562, 2609, 888, 5416, 264, 744, 3799, 476, 274, 270, 273, 1070, 744, 3799, 273, 1070, 744, 3799, 273, 994, 6357, 264, 562, 8298, 630, 333, 1070, 302, 3799, 1070, 302, 3799, 273, 994, 5560, 264, 744, 3799, 273, 1070, 744, 3799, 273, 1070, 744, 3799, 273, 994, 16216, 264, 744, 3799, 1070, 302, 3799, 1070, 744, 3799, 994, 6262, 264, 744, 3799, 8298, 562, 1070, 744, 3799, 273, 1070, 302, 3799, 994, 288, 23030, 9612, 10326, 630, 289, 4306, 264, 568, 6383, 676, 29780, 1739, 9981, 538, 1931, 912, 2004, 267, 476, 1428, 267, 476, 7830, 267, 476, 276, 267, 476, 736, 267, 476, 6812, 267, 476, 11011, 267, 476, 274, 267, 476, 279, 267, 476, 4391, 267, 476, 2568, 267, 476, 2190, 454, 763, 2698, 1297, 540, 9136, 538, 519, 2451, 1016, 2389, 872, 543, 519, 1318, 1016, 2389, 872, 267, 6606, 616, 10778, 5416, 264, 630, 275, 267, 278, 994, 6357, 264, 630, 278, 267, 275, 994, 5560, 264, 630, 274, 267, 279, 994, 16216, 264, 630, 276, 267, 277, 994, 6262, 264, 630, 279, 267, 274, 994, 22428, 649, 723, 2338, 1063, 476, 272, 543, 476, 1911, 271, 538, 513, 9352, 3406, 3529, 543, 1616, 547, 3406, 454, 1721, 519, 1297, 476, 3607, 274, 269, 6904, 540, 519, 1739, 5311, 1223, 711, 581, 519, 5311, 540, 519, 6843, 454, 1410, 600, 1441, 888, 5416, 264, 476, 273, 267, 476, 21857, 267, 476, 25002, 267, 476, 4375, 279, 267, 476, 20065, 267, 476, 30306, 267, 476, 4375, 278, 267, 476, 3607, 274, 454, 6357, 264, 476, 280, 2190, 267, 476, 13136, 267, 476, 26605, 267, 476, 28192, 267, 476, 279, 7176, 267, 476, 28670, 267, 476, 3607, 273, 267, 476, 3607, 274, 454, 6262, 264, 476, 280, 1839, 267, 476, 1708, 267, 476, 26605, 267, 476, 13301, 267, 476, 280, 1321, 267, 476, 25090, 267, 476, 28670, 267, 476, 3607, 274, 454, 5560, 264, 476, 273, 267, 274, 4200, 267, 476, 4343, 278, 267, 476, 25546, 267, 476, 29214, 267, 476, 4343, 273, 267, 476, 4343, 272, 267, 476, 30116, 267, 476, 3607, 274, 454, 16216, 264, 476, 273, 267, 476, 21857, 267, 476, 25002, 267, 476, 4375, 279, 267, 476, 28664, 267, 476, 24833, 267, 476, 4375, 278, 267, 476, 3607, 274, 454, 276, 264, 6904, 1826, 540, 21986, 531, 540, 23030, 9612, 10326, 17016, 519, 1871, 538, 15044, 1931, 888, 5416, 264, 2776, 19195, 454, 6357, 264, 769, 19195, 454, 16216, 264, 7183, 540, 519, 1657, 454, 6262, 264, 5403, 19195, 454, 273, 454, 277, 264, 634, 4463, 540, 513, 23030, 9612, 10326, 630, 289, 4306, 264, 568, 2016, 607, 554, 269, 6333, 519, 4463, 540, 519, 3529, 607, 519, 454, 15893, 540, 8728, 538, 519, 13074, 2619, 689, 3597, 547, 519, 6978, 269, 1548, 568, 519, 5021, 2009, 454, 15893, 540, 9136, 538, 519, 3529, 888, 278, 994, 5416, 264, 476, 273, 327, 268, 272, 910, 272, 454, 6357, 264, 476, 273, 327, 266, 272, 910, 476, 272, 454, 5560, 264, 476, 273, 327, 268, 272, 1341, 272, 454, 16216, 264, 476, 273, 8421, 22607, 266, 272, 994, 6262, 264, 476, 273, 327, 1341, 272, 454, 7617, 540, 519, 1739, 568, 270, 732, 711, 606, 3498, 540, 10518, 888, 5416, 264, 15531, 27353, 454, 6262, 264, 11638, 1255, 540, 8422, 454, 6357, 264, 18975, 540, 670, 8457, 328, 454, 5560, 264, 5606, 1460, 547, 2022, 25785, 7503, 454, 16216, 264, 15531, 519, 1034, 1455, 27708, 454, 279, 264, 769, 606, 20724, 299, 3529, 267, 519, 3666, 3815, 540, 513, 6843, 589, 729, 476, 271, 543, 513, 6843, 729, 17332, 547, 519, 2451, 540, 519, 454, 27161, 589, 267, 1287, 454, 5416, 264, 621, 568, 2838, 547, 3666, 19219, 589, 454, 6357, 264, 621, 568, 2838, 547, 3666, 9977, 540, 6843, 589, 454, 6262, 264, 621, 568, 2838, 547, 3666, 9406, 1126, 540, 589, 454, 5560, 264, 21344, 949, 610, 949, 711, 581, 2838, 585, 589, 454, 16216, 264, 621, 568, 2838, 547, 3666, 19382, 1126, 540, 589, 454, 280, 264, 6333, 519, 1739, 1102, 1460, 4082, 563, 275, 266, 274, 16732, 277, 265, 274, 268, 1321, 994, 2252, 835, 3096, 519, 8912, 29571, 5690, 547, 6460, 519, 4082, 689, 1102, 1460, 547, 2022, 25785, 10035, 2676, 6343, 568, 519, 5021, 1297, 540, 21797, 602, 786, 2408, 593, 519, 10518, 693, 513, 942, 1282, 519, 454, 935, 11437, 540, 713, 4082, 888, 1015, 994, 5416, 264, 476, 272, 454, 6357, 264, 476, 273, 454, 5560, 264, 476, 275, 454, 16216, 264, 476, 276, 610, 811, 454, 6262, 264, 476, 274, 454, 22428, 649, 723, 606, 5044, 6388, 540, 519, 10518, 1362, 267, 609, 27552, 3688, 538, 454, 1492, 10518, 6740, 693, 1239, 1496, 271, 316, 998, 1239, 1496, 1724, 4940, 634, 5021, 4390, 540, 519, 5044, 454, 529, 476, 5655, 269, 7316, 1281, 519, 7903, 1505, 1747, 519, 1007, 7127, 538, 519, 5044, 888, 320, 264, 4578, 314, 271, 2639, 321, 264, 4578, 314, 5655, 2639, 323, 264, 29571, 568, 24492, 454, 324, 264, 4578, 1496, 1691, 2639, 322, 264, 4578, 314, 1724, 2639, 274, 454, 1556, 264, 2715, 5325, 267, 476, 1321, 267, 476, 280, 267, 476, 1015, 267, 476, 275, 267, 476, 4817, 267, 476, 3607, 267, 476, 6872, 348, 568, 513, 1305, 540, 9981, 563, 2252, 519, 9352, 3406, 3529, 568, 2813, 1210, 519, 1657, 1305, 540, 9981, 543, 952, 835, 6499, 547, 18419, 454, 15893, 476, 1321, 689, 519, 4611, 3529, 267, 1018, 1131, 835, 3442, 607, 1315, 263, 320, 264, 13868, 6843, 4433, 264, 585, 519, 454, 1372, 2280, 542, 888, 5416, 264, 476, 3607, 454, 6357, 264, 476, 275, 454, 5560, 264, 476, 280, 454, 16216, 264, 476, 6872, 454, 6262, 264, 476, 1015, 454, 1321, 264, 634, 942, 3815, 950, 8159, 519, 4398, 540, 5690, 568, 6027, 676, 454, 5416, 994, 6357, 994, 6262, 994, 5560, 994, 16216, 994, 15575, 532, 519, 11056, 942, 1210, 1984, 1047, 6948, 454, 15575, 532, 519, 1297, 540, 6898, 538, 519, 5690, 454, 15575, 532, 519, 1297, 540, 1883, 4238, 538, 519, 5690, 454, 15575, 532, 519, 4893, 984, 344, 5052, 1031, 538, 519, 5690, 454, 15575, 532, 519, 11603, 1913, 1031, 538, 519, 5690, 454, 1724, 264, 6333, 519, 1739, 6516, 563, 2252, 835, 3643, 519, 9136, 540, 713, 3529, 1210, 513, 840, 4650, 21986, 531, 267, 538, 1018, 1931, 786, 519, 9136, 581, 454, 6665, 1243, 888, 5416, 264, 476, 272, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 278, 476, 279, 476, 280, 454, 6357, 264, 476, 272, 476, 273, 476, 275, 476, 280, 476, 277, 476, 274, 476, 279, 476, 276, 476, 278, 454, 5560, 264, 476, 275, 476, 273, 476, 280, 476, 272, 476, 279, 476, 274, 476, 276, 476, 277, 476, 278, 476, 1015, 454, 16216, 264, 476, 272, 476, 273, 476, 277, 476, 275, 476, 280, 476, 274, 476, 278, 476, 279, 476, 276, 454, 6262, 264, 476, 275, 476, 280, 476, 273, 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 ]

[ 2127, 693, 519, 2427, 540, 513, 5757, 4646, 676, 513, 4999, 540, 11761, 543, 18254, 607, 513, 5757, 17160, 563, 288, 9640, 21539, 8032, 10720, 4646, 950, 513, 803, 6387, 18846, 568, 2759, 1055, 563, 8489, 606, 3404, 1532, 578, 10720, 814, 12015, 909, 6028, 519, 1412, 24249, 262, 610, 7291, 540, 519, 2025, 18846, 538, 519, 5251, 563, 4322, 616, 2067, 6659, 8492, 540, 11159, 1336, 2059, 519, 2427, 540, 8933, 454, 763, 23864, 851, 540, 513, 5757, 1141, 6070, 4248, 543, 15195, 2743, 454, 288, 3113, 799, 2982, 875, 5757, 11166, 2242, 538, 3210, 547, 513, 13247, 2680, 563, 763, 5207, 11166, 3254, 454, 763, 5207, 11811, 3254, 454, 763, 942, 1063, 8445, 11811, 543, 8445, 11166, 454, 763, 942, 1063, 8445, 11811, 543, 8445, 11166, 454, 763, 6175, 538, 5757, 11166, 607, 519, 5757, 7024, 547, 3339, 1377, 454, 763, 2179, 540, 1216, 602, 666, 581, 4371, 538, 513, 5757, 8756, 454, 1607, 4386, 950, 8756, 4390, 568, 9765, 543, 1100, 811, 1216, 666, 3514, 538, 519, 5757, 865, 621, 29908, 936, 519, 5011, 563, 16498, 3123, 540, 14700, 454, 1607, 568, 1141, 14700, 4386, 1813, 547, 2067, 2188, 630, 7945, 607, 20569, 267, 8323, 267, 11811, 994, 14549, 3123, 540, 14700, 454, 8489, 519, 2962, 540, 812, 814, 3366, 547, 14700, 910, 552, 3052, 269, 17717, 267, 4683, 5314, 267, 2916, 1689, 267, 909, 543, 1524, 726, 965, 532, 267, 21394, 8840, 563, 8489, 812, 13402, 2497, 616, 1031, 547, 2061, 610, 1852, 2067, 3157, 689, 2921, 1747, 269, 910, 552, 3052, 269, 21394, 454, 14503, 797, 28057, 19305, 454, 2304, 3063, 8756, 3710, 1985, 547, 513, 5757, 547, 31818, 1216, 1472, 1271, 2127, 630, 26773, 7177, 994, 21982, 856, 803, 32752, 547, 1118, 519, 8756, 811, 3608, 630, 26773, 7177, 994, 288, 11064, 8066, 1216, 1394, 538, 513, 13111, 547, 5305, 1216, 538, 513, 6417, 6752, 269, 630, 26773, 7177, 994, 25369, 569, 6659, 8492, 2059, 519, 2427, 540, 519, 5757, 547, 2333, 1761, 4390, 540, 519, 8756, 269, 630, 26773, 7177, 994, 1103, 341, 11510, 15268, 547, 513, 5757, 543, 2324, 609, 2067, 3157, 454, 1607, 14439, 2127, 540, 2244, 799, 616, 1034, 543, 2547, 693, 1981, 540, 14700, 547, 3310, 3664, 609, 14621, 547, 2244, 14025, 4058, 630, 7809, 4702, 994, 5522, 13589, 4054, 538, 513, 12775, 16935, 547, 2333, 954, 4003, 543, 2569, 20359, 630, 7809, 4702, 994, 7230, 8221, 812, 13402, 8060, 593, 513, 5757, 1315, 13059, 621, 547, 922, 2067, 1533, 630, 7809, 4702, 1916, 24168, 631, 20846, 9338, 12569, 22244, 17395, 2483, 305, 1392, 910, 17323, 630, 306, 655, 328, 2347, 994, 16498, 8916, 538, 519, 5177, 268, 5211, 26816, 7498, 294, 17698, 17323, 5757, 8847, 454, 305, 1392, 6206, 16301, 454, 30862, 2207, 10323, 4811, 15760, 24199, 595, 3918, 2969, 3036, 454, 17413, 476, 280, 3213, 6814, 454, 17413, 476, 279, 26439, 3996, 454, 16215, 476, 272, 910, 3213, 6814, 910, 6206, 16301, 630, 288, 304, 288, 23722, 994, 16215, 476, 272, 910, 7849, 2037, 4921, 910, 6206, 2474, 630, 292, 6523, 22438, 7498, 8025, 3041, 590, 4953, 4959, 5508, 307, 2894, 5442, 674, 5357, 291, 8991, 23166, 2483, 16215, 476, 272, 910, 570, 624, 4577, 18171, 1841, 910, 6206, 16301, 630, 288, 304, 288, 23722, 994, 16215, 476, 272, 910, 16661, 18171, 1841, 1299, 8693, 7827, 910, 6206, 1855, 7498, 16215, 476, 273, 910, 12124, 12694, 910, 6206, 2474, 630, 288, 304, 288, 23722, 994, 16215, 476, 273, 910, 12754, 4886, 910, 6206, 16301, 630, 288, 304, 288, 717, 5425, 2507, 0, 2026, 596, 666, 1294, 538, 7612, 476, 274, 563, 16248, 22463, 666, 581, 3989, 281, 9521, 9246, 30735, 923, 538, 3504, 5527, 267, 799, 1419, 1705, 723, 513, 21055, 2078, 1063, 519, 2854, 3090, 543, 519, 1843, 1373, 26518, 267, 519, 6698, 1031, 538, 2413, 4654, 1413, 4986, 899, 519, 1843, 610, 2856, 547, 799, 789, 3277, 563, 1607, 2702, 547, 5311, 1808, 24008, 3947, 20169, 12256, 930, 540, 519, 4909, 6127, 2877, 538, 1931, 547, 1451, 519, 1950, 3919, 540, 513, 1893, 269, 4329, 267, 3662, 2792, 568, 1360, 3908, 543, 19330, 519, 11327, 2298, 540, 1893, 602, 649, 5941, 4505, 563, 763, 3057, 331, 4011, 334, 2494, 568, 606, 11972, 10229, 12835, 602, 14405, 593, 25664, 725, 540, 519, 10800, 24742, 547, 4482, 5561, 269, 7956, 9248, 1331, 8638, 540, 1007, 6863, 1913, 1759, 593, 3446, 7400, 1543, 267, 855, 661, 17247, 1053, 991, 2417, 6863, 6044, 563, 763, 2042, 540, 1893, 616, 10876, 5532, 609, 2797, 267, 1514, 267, 2804, 267, 543, 3872, 2188, 563, 3725, 14428, 19189, 11234, 6898, 538, 2953, 2296, 267, 610, 2307, 519, 2875, 952, 789, 917, 1776, 1259, 547, 2161, 621, 269, 2201, 519, 824, 1688, 267, 2296, 568, 513, 4914, 1893, 585, 1312, 2516, 267, 1317, 972, 568, 1100, 3346, 1063, 918, 6324, 880, 543, 14655, 1004, 609, 2296, 1004, 563, 12626, 568, 849, 4922, 1031, 538, 16444, 20092, 543, 18310, 269, 1323, 13726, 3187, 14553, 267, 519, 1055, 2515, 9920, 540, 513, 13032, 1442, 2319, 729, 1022, 13930, 610, 7649, 563, 7212, 519, 2296, 9275, 538, 3162, 4000, 15320, 538, 930, 24947, 689, 3044, 3703, 2296, 267, 922, 10529, 798, 711, 2543, 519, 1893, 607, 513, 5094, 835, 269, 9105, 1053, 547, 3132, 519, 1893, 538, 1362, 2238, 563, 15812, 2006, 543, 1866, 723, 6069, 602, 1453, 8263, 1913, 547, 3277, 547, 3615, 609, 2147, 3601, 834, 322, 578, 257, 543, 834, 335, 580, 257, 1522, 1312, 581, 834, 534, 7769, 257, 2864, 982, 547, 3615, 602, 616, 873, 5597, 1644, 834, 322, 578, 257, 543, 834, 332, 20488, 257, 616, 4440, 711, 1312, 834, 534, 7769, 8487, 763, 1249, 602, 596, 666, 1491, 513, 2262, 267, 2285, 621, 1776, 2495, 267, 723, 2576, 3116, 3858, 593, 602, 2495, 267, 543, 1287, 946, 519, 2262, 538, 707, 1378, 6752, 5693, 2982, 602, 2495, 568, 538, 1004, 2864, 982, 1913, 269, 769, 930, 8832, 22463, 2178, 13450, 11677, 519, 2025, 2250, 268, 1084, 572, 13737, 3029, 6512, 267, 2909, 330, 267, 535, 663, 267, 838, 752, 585, 3044, 2296, 3029, 3808, 267, 13264, 267, 1336, 267, 543, 12038, 563, 4504, 28558, 18986, 1682, 543, 2285, 1806, 540, 875, 547, 946, 873, 14013, 269, 1703, 568, 1100, 4341, 602, 1004, 723, 547, 5968, 609, 4992, 267, 1256, 609, 2649, 1043, 1913, 563, 302, 326, 6577, 267, 634, 12791, 540, 12791, 5507, 281, 5637, 1913, 12090, 538, 12397, 13665, 267, 543, 1082, 824, 2474, 267, 1631, 14311, 8241, 267, 3357, 6038, 689, 3703, 22463, 269, 4014, 972, 568, 26526, 2370, 6237, 8390, 538, 12332, 2429, 519, 3003, 11782, 267, 972, 568, 1713, 1514, 8390, 563, 23737, 875, 519, 6906, 540, 2495, 6257, 519, 12572, 2470, 540, 1893, 269, 670, 1442, 9116, 540, 1893, 11601, 267, 22228, 7406, 3069, 10818, 531, 626, 23316, 25791, 5872, 626, 3069, 663, 6165, 2861, 1893, 11601, 563, 27645, 540, 2296, 1893, 6267, 1058, 2731, 581, 3384, 519, 5711, 2792, 267, 2542, 267, 6863, 267, 543, 1603, 1983, 540, 741, 1762, 1053, 269, 634, 8239, 786, 1491, 1416, 540, 3294, 269, 3367, 3589, 1043, 2835, 563, 23458, 568, 513, 1062, 602, 5161, 540, 519, 1646, 267, 11601, 267, 5826, 543, 946, 540, 1950, 1949, 540, 2792, 267, 3226, 519, 1480, 2702, 547, 798, 865, 282, 543, 513, 1893, 568, 1022, 1808, 1383, 540, 971, 513, 1062, 563, 763, 3621, 1353, 540, 1893, 568, 1572, 1714, 548, 663, 337, 24108, 2593, 976, 7282, 519, 6138, 540, 1893, 267, 971, 607, 2436, 1913, 666, 2099, 1995, 267, 723, 1044, 23503, 693, 563, 12626, 1893, 910, 7352, 7724, 540, 2296, 281, 634, 28008, 681, 303, 630, 3725, 18727, 25460, 10586, 264, 18575, 1018, 568, 12926, 2808, 519, 3044, 20020, 540, 1004, 2713, 538, 5507, 543, 519, 22703, 540, 4789, 543, 540, 824, 1004, 11992, 945, 3717, 538, 713, 1259, 563, 14641, 568, 519, 1152, 3703, 20020, 602, 814, 1100, 1808, 10923, 30136, 281, 621, 568, 711, 2009, 267, 593, 6217, 2576, 3717, 681, 303, 267, 547, 917, 799, 269, 5678, 11601, 2356, 4016, 547, 1101, 25082, 11601, 267, 799, 2090, 12256, 262, 11601, 540, 741, 5065, 1893, 267, 2436, 602, 581, 9275, 1893, 610, 9896, 1893, 607, 513, 1267, 540, 840, 1782, 783, 18555, 1145, 563, 302, 330, 267, 1934, 568, 1250, 2626, 281, 5678, 568, 1022, 1797, 540, 2792, 593, 799, 513, 1978, 2039, 540, 1004, 666, 3858, 269, 2334, 1797, 2296, 568, 513, 1893, 543, 519, 4191, 543, 27615, 660, 338, 616, 4654, 607, 1134, 563, 288, 1893, 1281, 711, 991, 5022, 543, 2854, 1913, 269, 5822, 1893, 11601, 630, 10193, 1634, 607, 2034, 1893, 1565, 610, 18615, 1893, 11601, 264, 4016, 547, 519, 1184, 676, 799, 513, 1268, 16137, 513, 834, 1150, 793, 257, 1893, 20196, 568, 267, 513, 1893, 824, 982, 1010, 610, 1200, 3993, 11469, 11482, 4833, 607, 513, 1611, 540, 2792, 543, 16565, 519, 7005, 1893, 0, 8505, 1143, 568, 513, 1950, 5778, 2041, 24173, 2783, 602, 2882, 23043, 538, 1514, 5872, 543, 11095, 1893, 543, 2792, 1983, 5916, 609, 14461, 267, 16625, 19326, 269, 5221, 540, 519, 2039, 540, 2589, 267, 713, 2783, 568, 1631, 1572, 20150, 25400, 13081, 630, 32359, 1916, 2005, 6227, 513, 1804, 8552, 540, 2589, 267, 1983, 267, 543, 2157, 540, 15717, 269, 20284, 9832, 538, 10335, 689, 513, 27656, 777, 602, 10169, 7182, 606, 6382, 3339, 1272, 547, 513, 14042, 9659, 602, 949, 2154, 12250, 1416, 563, 4696, 291, 1315, 11838, 568, 519, 1034, 4122, 8995, 2790, 4524, 540, 1453, 269, 23206, 5937, 1030, 7228, 1315, 15214, 13808, 13081, 630, 4696, 8461, 264, 568, 513, 2634, 4524, 6825, 676, 606, 5571, 4806, 540, 538, 3430, 1549, 543, 5924, 30759, 27780, 6160, 2032, 602, 7679, 31013, 609, 8647, 610, 1646, 563, 290, 699, 13887, 25097, 344, 568, 513, 4524, 540, 3350, 267, 4887, 3159, 610, 14302, 602, 568, 3361, 676, 3441, 602, 4386, 547, 519, 1799, 1155, 267, 3384, 2634, 267, 1034, 1419, 1354, 4332, 269, 20050, 543, 2589, 2408, 1282, 26638, 610, 9251, 1296, 563, 1103, 2489, 267, 19548, 25097, 344, 3123, 15176, 3350, 2404, 609, 9402, 16846, 525, 267, 1166, 31463, 1465, 610, 6551, 7190, 540, 519, 17873, 543, 17657, 267, 9402, 14302, 267, 32246, 5322, 267, 13417, 1737, 344, 6972, 267, 610, 930, 4999, 540, 891, 563, 291, 1144, 6794, 849, 1634, 607, 959, 529, 3912, 476, 2641, 267, 568, 513, 4719, 4524, 3361, 676, 519, 4527, 540, 782, 610, 851, 540, 513, 3791, 5299, 540, 15694, 476, 2641, 269, 898, 568, 3335, 2404, 609, 2168, 2208, 17799, 267, 7646, 547, 9793, 7214, 9659, 267, 543, 8984, 11132, 2934, 563, 23458, 30975, 630, 331, 4833, 8488, 264, 568, 513, 1826, 540, 2792, 4524, 269, 2659, 1126, 949, 723, 513, 1893, 8488, 952, 789, 1810, 1406, 2743, 519, 1893, 11095, 19325, 585, 741, 2085, 269, 4256, 1893, 5759, 949, 581, 3384, 693, 513, 14887, 2557, 982, 1034, 1453, 779, 269, 1358, 949, 723, 8373, 11589, 2933, 610, 1620, 1866, 269, 4256, 8488, 949, 4125, 513, 4999, 540, 6217, 267, 4633, 267, 543, 5042, 23043, 563, 13981, 30975, 568, 513, 2783, 602, 666, 2014, 606, 1367, 547, 1995, 2042, 538, 513, 2757, 4928, 1565, 2796, 269, 898, 949, 15936, 609, 7924, 1983, 1646, 543, 2979, 270, 4118, 338, 543, 666, 849, 1860, 3965, 267, 2702, 547, 1445, 543, 10721, 1983, 563, 303, 23177, 543, 623, 13263, 3008, 616, 3968, 14001, 16991, 2175, 602, 7519, 513, 3461, 779, 3339, 11719, 545, 8647, 267, 4611, 538, 513, 6727, 12614, 540, 9866, 612, 633, 3281, 14601, 13081, 630, 302, 7374, 264, 543, 5924, 5179, 512, 923, 563, 303, 23177, 543, 623, 13263, 3008, 666, 1331, 513, 3099, 540, 824, 2589, 971, 607, 30604, 630, 25988, 9993, 1070, 4160, 267, 29338, 267, 30759, 267, 3207, 18063, 267, 7099, 23638, 543, 17256, 2042, 563, 300, 527, 13578, 7434, 3676, 1267, 689, 14286, 540, 519, 26503, 267, 7463, 735, 25902, 1459, 538, 1169, 1591, 540, 519, 1560, 630, 21955, 2699, 1973, 2281, 1916, 300, 527, 13578, 6319, 616, 3743, 585, 2870, 811, 982, 476, 3445, 260, 540, 519, 1648, 2877, 676, 519, 1560, 547, 2844, 1272, 543, 1489, 1418, 1599, 269, 1879, 789, 3111, 267, 1447, 543, 1447, 1648, 568, 6383, 1369, 519, 1591, 269, 8426, 5945, 543, 1256, 1591, 2669, 1246, 269, 1403, 713, 1184, 568, 7368, 2429, 519, 1560, 267, 2898, 1418, 1949, 2253, 547, 3111, 269, 634, 2694, 540, 519, 1560, 267, 971, 607, 519, 2295 ]

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

[ 637, 269, 18461, 519, 2597, 540, 5553, 2250, 1247, 575, 5074, 2390, 891, 15999, 3889, 25517, 538, 8956, 540, 519, 3141, 5601, 14780, 543, 9856, 539, 18979, 569, 676, 519, 590, 874, 514, 343, 267, 4171, 18163, 22401, 14014, 873, 1869, 780, 9961, 713, 3460, 267, 649, 4126, 547, 1128, 650, 1369, 596, 513, 2631, 540, 4898, 543, 7071, 585, 519, 7415, 10781, 540, 9147, 12266, 10340, 269, 1635, 1620, 741, 2528, 267, 9821, 267, 29217, 267, 543, 14286, 267, 649, 2744, 3407, 4030, 883, 8103, 3294, 1107, 22348, 6000, 602, 1256, 9624, 5070, 28323, 543, 13346, 521, 1343, 267, 930, 1919, 2611, 32344, 543, 15851, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 300, 1513, 320, 1325, 600, 543, 20407, 14265, 1047, 4663, 454, 19177, 10117, 2395, 538, 9370, 320, 1325, 600, 543, 20407, 14265, 1047, 12875, 13268, 720, 666, 2661, 596, 538, 23406, 2470, 543, 2070, 513, 32219, 1686, 22993, 538, 4395, 540, 707, 4064, 269, 14970, 519, 2621, 538, 519, 524, 2784, 548, 540, 10340, 267, 1294, 519, 943, 21198, 338, 685, 3527, 267, 543, 741, 2679, 267, 543, 1745, 741, 20339, 269, 1411, 666, 7198, 875, 519, 943, 21198, 338, 4941, 547, 1936, 622, 741, 1686, 998, 7524, 23598, 543, 1390, 943, 4673, 4577, 6189, 538, 3140, 21056, 602, 596, 666, 12446, 693, 998, 519, 24886, 1995, 540, 22892, 563, 30106, 712, 3399, 338, 10573, 300, 1513, 320, 1325, 600, 2008, 30106, 712, 661, 2738, 10573, 300, 1513, 320, 1325, 600, 2008, 30106, 8692, 30991, 10573, 1691, 17963, 1315, 476, 1724, 715, 2074, 2008, 30106, 712, 21145, 10573, 292, 5118, 13488, 1546, 1023, 476, 1708, 274, 270, 1708, 275, 910, 4414, 7256, 32733, 13268, 1137, 2008, 30106, 8692, 27484, 10573, 292, 5118, 12409, 570, 2293, 910, 5527, 6828, 570, 2293, 910, 5527, 20407, 570, 2293, 910, 7731, 674, 7037, 570, 2293, 2008, 18871, 885, 547, 16731, 10573, 290, 23879, 910, 717, 21289, 910, 1306, 9774, 910, 26512, 3244, 10964, 910, 24006, 528, 910, 9370, 320, 1325, 600, 2008, 347, 13510, 9005, 585, 7435, 545, 777, 10573, 8133, 2008, 347, 27026, 12025, 10573, 1015, 547, 476, 1428, 7606, 2008, 16085, 1399, 548, 10573, 4467, 3228, 910, 12409, 910, 17949, 618, 268, 9177, 2008, 268, 4303, 476, 272, 454, 6635, 337, 2526, 693, 9370, 320, 1325, 320, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 26123, 12266, 31511, 257, 607, 851, 540, 834, 28765, 22723, 13493, 1315, 23089, 1315, 4000, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 8950, 17496, 585, 7233, 26263, 19685, 256, 5620, 596, 2479, 9289, 875, 3744, 946, 2029, 547, 948, 7031, 1332, 2178, 543, 2635, 286, 4270, 267, 835, 1259, 789, 798, 713, 568, 998, 1945, 1572, 2030, 4307, 19685, 269, 2913, 781, 2736, 1524, 1018, 602, 1797, 780, 303, 1156, 19685, 568, 950, 3744, 1413, 693, 519, 2168, 7592, 540, 2713, 1919, 630, 3697, 2371, 14386, 547, 1174, 741, 4162, 1732, 269, 5994, 3843, 547, 4766, 707, 1655, 3659, 1107, 7381, 609, 1225, 569, 4552, 543, 14296, 269, 2334, 6609, 2337, 596, 14650, 945, 789, 616, 269, 6684, 267, 2030, 4307, 19685, 3947, 721, 3407, 1344, 827, 2371, 899, 2450, 267, 3337, 267, 2681, 267, 543, 2949, 1072, 780, 3086, 1577, 781, 1039, 5904, 883, 519, 3575, 256, 23675, 666, 1184, 5318, 5666, 540, 1239, 1454, 5488, 982, 3425, 269, 1924, 267, 952, 649, 4001, 5904, 875, 547, 5431, 1114, 2934, 540, 2371, 267, 1287, 3173, 666, 5659, 811, 2371, 3533, 543, 7561, 269, 901, 3532, 1907, 568, 1634, 607, 2780, 5075, 780, 2080, 781, 1141, 621, 4991, 2731, 3579, 281, 1210, 2780, 5075, 585, 2030, 4307, 19685, 2636, 6705, 543, 3744, 547, 1451, 811, 827, 7693, 8677, 267, 5544, 1761, 2152, 2038, 267, 543, 1256, 1020, 1007, 2994, 547, 2087, 6683, 269, 1280, 1383, 267, 4952, 2348, 513, 8773, 602, 1223, 11571, 9343, 2390, 9343, 540, 8970, 26753, 1169, 1554, 269, 1403, 1022, 2042, 8451, 267, 971, 607, 10980, 2566, 610, 11641, 6285, 267, 519, 2780, 1131, 3713, 891, 2242, 5612, 543, 10332, 519, 16027, 269, 2060, 2038, 21855, 267, 6705, 723, 942, 547, 1491, 2962, 1354, 519, 3390, 3587, 1932, 2462, 543, 5540, 741, 3003, 7556, 2439, 5194, 3498, 3322, 4974, 519, 2208, 3270, 540, 1585, 2371, 896, 6417, 2175, 3330, 1382, 6703, 269, 12207, 666, 10502, 2268, 1082, 3344, 540, 1142, 2030, 267, 1519, 922, 4463, 267, 6978, 5086, 267, 3597, 3178, 267, 3092, 1421, 4543, 873, 2697, 1808, 6090, 2404, 609, 14909, 7592, 269, 1452, 8906, 5512, 9742, 619, 547, 1711, 6793, 543, 2182, 1512, 12490, 540, 7031, 9862, 547, 1880, 5054, 267, 4180, 1426, 3354, 5001, 780, 2414, 2040, 909, 267, 3450, 5904, 547, 7747, 543, 4612, 2592, 540, 2371, 814, 8118, 9885, 547, 5499, 4485, 538, 6683, 543, 26216, 269, 1635, 19713, 519, 1379, 540, 2780, 5075, 267, 649, 666, 3986, 2030, 9960, 3646, 267, 11126, 8105, 2853, 267, 543, 2327, 4264, 1426, 2504, 1949, 585, 5481, 547, 2097, 269, 1656, 3314, 910, 782, 713, 5956, 609, 1620, 875, 547, 3927, 4019, 2029, 547, 4194, 1483, 8996, 2591, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 14367, 7824, 3361, 2663, 4389, 585, 15742, 4640, 4262, 267, 2901, 267, 607, 621, 1476, 619, 856, 269, 898, 568, 1305, 538, 519, 4719, 8711, 267, 602, 972, 568, 849, 513, 4165, 604, 25193, 11646, 827, 519, 16023, 540, 519, 5108, 267, 689, 799, 649, 949, 4922, 4125, 606, 9194, 267, 2094, 649, 3112, 2705, 581, 1018, 711, 1482, 513, 2011, 972, 1058, 1294, 540, 971, 606, 10412, 607, 713, 267, 2372, 617, 21941, 29436, 1815, 4722, 338, 513, 4006, 561, 684, 600, 2068, 4945, 3262, 267, 602, 519, 2043, 2968, 1759, 543, 4956, 676, 519, 2553, 602, 4389, 519, 11810, 269, 5985, 1353, 602, 519, 1344, 543, 834, 1684, 1657, 519, 5946, 799, 2769, 1657, 519, 1318, 607, 513, 5311, 547, 10891, 519, 2371, 543, 4966, 538, 24536, 1040, 1152, 1310, 20266, 15258, 1185, 909, 9182, 267, 1018, 20402, 646, 4283, 286, 1152, 1586, 865, 649, 1246, 4864, 324, 20266, 15258, 267, 12832, 7637, 23592, 543, 661, 269, 7812, 13643, 9985, 21467, 343, 12304, 538, 519, 6671, 7824, 2648, 593, 519, 267, 519, 1646, 1394, 29589, 532, 513, 21453, 571, 543, 22516, 538, 519, 6426, 543, 519, 9114, 340, 540, 938, 1062, 269, 2081, 2015, 1985, 267, 1906, 267, 543, 12166, 887, 739, 338, 269, 901, 4783, 579, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 20663, 17496, 585, 7233, 26263, 19685, 257, 607, 851, 540, 834, 31900, 1299, 22957, 1315, 11982, 1315, 32645, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 769, 519, 2295, 540, 14297, 26285, 826, 267, 972, 729, 513, 1507, 6204, 1597, 597, 6300, 3957, 834, 290, 14864, 7066, 9778, 1701, 634, 8227, 267, 6004, 269, 8734, 752, 267, 729, 606, 11361, 812, 945, 3576, 1390, 11348, 538, 1010, 4015, 540, 29586, 13492, 267, 2757, 24853, 267, 543, 2189, 959, 1074, 1115, 269, 1261, 1185, 513, 2186, 12837, 543, 2141, 30870, 1010, 5561, 609, 513, 3636, 834, 291, 984, 787, 3954, 10590, 630, 14187, 1554, 256, 2020, 3080, 13566, 12784, 267, 1079, 1977, 14666, 910, 808, 10154, 267, 513, 10004, 1399, 21717, 267, 543, 1200, 1989, 17056, 22516, 267, 6004, 269, 16399, 910, 15336, 883, 519, 4558, 269, 808, 10154, 729, 19832, 676, 519, 10477, 4837, 2264, 1247, 6004, 269, 16399, 781, 4064, 941, 593, 606, 25447, 17927, 4585, 269, 8528, 16031, 269, 8734, 752, 8068, 873, 8098, 3931, 519, 3688, 269, 2060, 513, 1000, 30257, 538, 1010, 3750, 267, 646, 1767, 267, 834, 25105, 267, 596, 723, 5140, 6492, 256, 8409, 4425, 1335, 1014, 12627, 642, 1162, 1131, 1413, 4190, 538, 1022, 1753, 267, 1175, 899, 602, 21305, 17927, 4585, 1131, 9290, 2576, 2027, 3010, 297, 10154, 4280, 8049, 569, 267, 834, 1692, 1454, 798, 891, 1942, 8119, 1677, 799, 6004, 269, 8734, 752, 14452, 267, 834, 11039, 267, 15210, 267, 789, 5749, 1405, 10464, 855, 6157, 4502, 1169, 29784, 269, 10251, 267, 594, 1810, 1405, 3398, 4914, 9304, 610, 5491, 6486, 269, 8307, 16231, 31704, 10044, 3010, 11514, 1952, 31212, 267, 6004, 269, 16399, 4573, 339, 1229, 267, 834, 2171, 4769, 1405, 5385, 2614, 2724, 693, 519, 19633, 1701, 22628, 741, 29359, 267, 6004, 269, 8734, 752, 6700, 948, 2685, 267, 834, 2467, 781, 513, 4871, 1472, 519, 7944, 1141, 596, 1223, 1689, 930, 9489, 883, 737, 528, 684, 553, 3010, 5475, 513, 2110, 4901, 267, 789, 4956, 621, 729, 4502, 27300, 930, 2724, 269, 1306, 789, 2451, 267, 6004, 269, 16399, 5828, 1394, 543, 4280, 267, 834, 12663, 596, 1869, 581, 1934, 950, 649, 2132, 8119, 3911, 4979, 267, 6004, 269, 8734, 752, 21407, 1864, 267, 834, 8170, 1576, 256, 901, 568, 1250, 17612, 282, 594, 9327, 1405, 4734, 621, 796, 3430, 2105, 3010, 2691, 789, 8120, 1310, 827, 8938, 3764, 267, 789, 1336, 519, 7450, 19526, 269, 10658, 3960, 1194, 267, 789, 6743, 3330, 543, 4718, 6004, 269, 8734, 752, 9361, 1524, 267, 16889, 269, 21150, 1551, 21724, 267, 808, 10154, 530, 8491, 693, 1864, 998, 519, 6885, 269, 654, 1136, 909, 689, 1010, 23040, 267, 6004, 269, 8734, 752, 3533, 8118, 519, 7450, 780, 14503, 755, 1229, 267, 646, 23294, 1242, 267, 834, 2690, 326, 633, 803, 267, 594, 4769, 1405, 2503, 596, 865, 4166, 269, 7490, 2097, 538, 1701, 4495, 27206, 1586, 267, 808, 10154, 7948, 1405, 5706, 6998, 267, 834, 310, 699, 596, 12008, 8119, 2060, 513, 669, 22976, 267, 6004, 269, 8734, 752, 15861, 267, 834, 8133, 267, 594, 3006, 1491, 2110, 562, 2355, 1282, 3500, 3108, 3010, 5445, 6192, 741, 6718, 267, 6028, 25747, 609, 741, 1007, 4203, 29792, 269, 1809, 1354, 6028, 267, 808, 10154, 19942, 936, 930, 10690, 11113, 1352, 1185, 6394, 1282, 741, 7552, 269, 2701, 1767, 17869, 1176, 267, 834, 2080, 267, 649, 1616, 547, 2285, 891, 547, 596, 607, 1134, 3010, 19185, 11821, 267, 6004, 269, 8734, 752, 3323, 10203, 519, 11113, 269, 22582, 267, 20185, 546, 1177, 2740, 593, 1864, 269, 1452, 14201, 1405, 8723, 11113, 282, 789, 941, 4686, 2445, 1043, 21797, 689, 1114, 2477, 256, 29110, 3481, 676, 741, 2219, 6888, 267, 646, 9684, 539, 873, 1527, 2224, 569, 780, 1607, 10071, 6026, 6004, 269, 16399, 513, 3407, 3992, 827, 32198, 1866, 1932, 3533, 269, 1656, 808, 10154, 4121, 602, 11587, 267, 1256, 538, 1507, 17267, 267, 666, 3142, 10373, 7772, 269, 3245, 1287, 593, 267, 8164, 789, 14612, 267, 789, 1500, 2386, 547, 4163, 2199, 11113, 547, 2671, 609, 6300, 26283, 267, 2870, 12300, 4296, 2059, 519, 1259, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 2108, 9558, 17218, 519, 1739, 4845, 547, 16231, 912, 24876, 721, 707, 11113, 563, 272, 269, 10576, 519, 1292, 3334, 538, 519, 2707, 4845, 281, 634, 1292, 3334, 616, 834, 24876, 2580, 834, 639, 2580, 834, 20365, 2580, 543, 834, 23915, 8487, 273, 269, 14419, 519, 3617, 16231, 6863, 585, 1142, 5057, 281, 634, 6697, 16231, 6863, 616, 834, 5719, 329, 2580, 834, 333, 5451, 332, 2580, 834, 339, 17383, 16660, 257, 543, 834, 332, 1550, 8487, 274, 269, 15233, 519, 2953, 8239, 281, 769, 16231, 267, 519, 8231, 1419, 2501, 1101, 538, 513, 4845, 269, 634, 4845, 666, 1287, 581, 4646, 607, 834, 5719, 329, 562, 5451, 332, 512, 17383, 16660, 1295 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2410, 275, 348, 562, 815, 1422, 2765, 346, 278, 2410, 1015, 28021, 866, 269, 6695, 2765, 346, 327, 2410, 6629, 274, 6525, 815, 6567, 279, 454, 736, 269, 586, 6567, 476, 278, 269, 11025, 815, 6567, 1626, 692, 2971, 3690, 17218, 547, 606, 17817, 543, 16534, 692, 1103, 519, 1739, 5751, 267, 14377, 543, 4194, 780, 272, 269, 634, 3017, 540, 562, 543, 476, 272, 269, 280, 568, 476, 274, 269, 275, 563, 273, 269, 634, 3017, 562, 543, 476, 272, 269, 276, 568, 476, 271, 269, 279, 563, 274, 269, 634, 1587, 540, 6567, 277, 269, 273, 543, 1535, 568, 6567, 275, 269, 9834, 563, 275, 269, 634, 1587, 540, 6567, 275, 269, 277, 543, 1535, 568, 6567, 274, 269, 2420, 563, 276, 269, 634, 23479, 540, 586, 543, 6567, 272, 269, 278, 568, 6567, 276, 563, 277, 269, 634, 23479, 540, 1990, 543, 6567, 274, 269, 277, 568, 476, 274, 563, 278, 269, 634, 2040, 540, 562, 543, 6567, 278, 269, 274, 568, 476, 273, 269, 275, 563, 279, 269, 634, 2040, 540, 562, 543, 6567, 276, 269, 272, 568, 476, 274, 269, 279, 780, 2162, 28064, 4569, 692, 272, 269, 1744, 11921, 11751, 513, 6292, 540, 10887, 593, 9042, 585, 1269, 4281, 269, 16534, 519, 3830, 476, 271, 269, 4037, 335, 815, 476, 4281, 547, 1265, 519, 3312, 3902, 540, 519, 10887, 267, 533, 269, 476, 273, 269, 6307, 11751, 513, 1007, 21067, 269, 634, 2698, 3902, 1519, 6455, 3454, 729, 259, 272, 267, 12573, 269, 4855, 519, 10685, 3902, 267, 678, 267, 540, 519, 21067, 1354, 3454, 676, 6061, 519, 3830, 476, 272, 269, 5400, 337, 815, 476, 272, 267, 12573, 780, 2162, 5675, 20113, 692, 272, 269, 6056, 827, 6061, 519, 3830, 476, 272, 269, 273, 344, 815, 476, 2568, 267, 855, 798, 711, 2965, 4194, 621, 269, 1684, 596, 1589, 519, 3070, 1058, 581, 3152, 982, 476, 2568, 610, 1447, 982, 476, 2568, 286, 11512, 707, 7744, 269, 3973, 4194, 519, 3830, 547, 1294, 952, 707, 3206, 729, 2953, 563, 273, 269, 6056, 827, 6061, 519, 3830, 476, 271, 269, 279, 343, 815, 476, 1220, 267, 855, 798, 711, 2965, 4194, 621, 269, 1684, 596, 1589, 519, 3070, 1058, 581, 3152, 982, 476, 1220, 610, 1447, 982, 476, 1220, 286, 11512, 707, 7744, 269, 3973, 4194, 519, 3830, 547, 1294, 952, 707, 3206, 729, 2953, 780, 2162, 8682, 6744, 692, 5416, 264, 2991, 11264, 519, 5751, 267, 946, 713, 24920, 547, 6218, 707, 17117, 540, 519, 6859, 540, 713, 3296, 780, 6357, 264, 2201, 513, 4336, 540, 476, 272, 1700, 1015, 267, 875, 1131, 596, 2557, 707, 17117, 540, 713, 3296, 538, 1769, 540, 707, 6114, 593, 519, 24920, 286, 1215, 666, 596, 2087, 713, 286, 0, 258, 634, 10025, 540, 18000, 476, 1015, 4113, 18000, 476, 1428, 4113, 18000, 476, 4037, 4113, 18000, 476, 3199, 4113, 568, 910, 9119, 692, 30555, 692, 763, 1871, 540, 16009, 476, 1015, 4113, 16009, 476, 1428, 4113, 16009, 476, 4037, 4113, 16009, 476, 3199, 4113, 568, 692, 2971, 18169, 692, 1892, 6567, 272, 692, 1892, 476, 271, 692, 1892, 476, 272, 692, 1892, 7183, 540, 891, 692, 2971, 8827, 692, 2080, 649, 723, 547, 1265, 281, 476, 16009, 476, 1015, 4113, 16009, 476, 1428, 4113, 16009, 4037, 4113, 16009, 476, 3199, 4113, 692, 3086, 692, 11927, 476, 1015, 4113, 16009, 476, 1428, 4113, 16009, 4037, 4113, 16009, 476, 3199, 4113, 692, 284, 11927, 630, 3445, 4113, 268, 3199, 4113, 264, 16009, 630, 3445, 4113, 268, 4037, 4113, 264, 16009, 476, 3199, 4113, 692, 284, 28422, 476, 3199, 4113, 28422, 476, 4037, 4113, 16009, 476, 4037, 4113, 16009, 476, 3199, 4113, 692, 14352, 20799, 476, 3199, 4113, 16009, 476, 3199, 4113, 7565, 20799, 476, 4037, 4113, 16009, 476, 4037, 4113, 2020, 284, 272, 16282, 272, 1109, 14632, 30336, 1109, 314, 834, 26238, 257, 28422, 16564, 1109, 16009, 15184, 815, 272, 6540, 284, 476, 272, 692, 3674, 972, 606, 5470, 538, 713, 2243, 610, 3070, 2496, 2971, 6673, 14154, 12678, 5442, 692, 31686, 1744, 12609, 4147, 476, 1015, 13174, 454, 6637, 476, 1015, 26344, 6248, 13158, 3930, 454, 304, 476, 2641, 1923, 8525, 476, 6812, 0, 258, 3848, 476, 277, 16748, 5314, 540, 10789, 545, 25285, 28251, 1744, 12609, 10298, 11644, 476, 277, 269, 274, 4147, 476, 280, 13174, 692, 3848, 8745, 28251, 1744, 12609, 3848, 476, 277, 16748, 5314, 540, 27155, 338, 11644, 476, 277, 269, 274, 3883, 8745, 28251, 1744, 12609, 9119, 585, 4147, 476, 1015, 4033, 20113, 11644, 476, 277, 269, 272, 19865, 476, 277, 269, 273, 19865, 476, 277, 269, 275, 19865, 476, 277, 269, 276, 13565, 5530, 19436, 10298, 585, 4147, 476, 1015, 13174, 692, 2162, 11644, 476, 277, 269, 274, 10298, 692, 1103, 1142, 540, 519, 1739, 267, 1210, 519, 14230, 11532, 267, 1265, 519, 14230, 950, 535, 3287, 264, 568, 5258, 676, 575, 3287, 264, 543, 13182, 519, 1267, 676, 4890, 6498, 2433, 630, 272, 910, 476, 279, 2020, 272, 269, 535, 3287, 264, 815, 1535, 274, 1109, 266, 476, 275, 343, 273, 1109, 268, 476, 274, 343, 1341, 476, 1015, 267, 575, 3287, 264, 815, 1535, 1341, 476, 275, 692, 11405, 692, 2171, 723, 535, 3287, 264, 815, 1535, 274, 1109, 266, 476, 275, 343, 273, 1109, 268, 476, 274, 343, 1341, 476, 1015, 267, 575, 3287, 264, 815, 1535, 1341, 476, 275, 454, 11997, 267, 676, 14230, 11532, 950, 535, 3287, 264, 568, 5258, 676, 575, 3287, 264, 815, 1535, 910, 11196, 476, 275, 1070, 519, 14230, 568, 3160, 547, 535, 8987, 275, 2020, 273, 269, 535, 3287, 264, 815, 476, 275, 343, 275, 1109, 268, 476, 274, 343, 274, 1109, 268, 476, 273, 343, 273, 1109, 266, 1535, 910, 476, 278, 267, 575, 3287, 264, 815, 1535, 910, 476, 272, 692, 11405, 692, 2171, 723, 2676, 325, 3287, 264, 815, 476, 275, 343, 275, 1109, 268, 476, 274, 343, 274, 1109, 268, 476, 273, 343, 273, 1109, 266, 1535, 910, 476, 278, 267, 543, 575, 3287, 264, 815, 1535, 910, 476, 272, 454, 11997, 676, 14230, 11532, 950, 535, 3287, 264, 568, 7941, 676, 575, 3287, 264, 815, 1535, 910, 476, 272, 267, 1109, 519, 14230, 568, 3160, 547, 535, 263, 266, 272, 2020, 274, 269, 535, 3287, 264, 815, 476, 273, 343, 275, 1109, 268, 476, 277, 343, 274, 1109, 266, 476, 273, 343, 273, 1109, 268, 1535, 1341, 476, 273, 267, 575, 3287, 264, 815, 1535, 1341, 476, 273, 454, 11405, 454, 2171, 723, 2676, 325, 3287, 264, 815, 476, 273, 343, 275, 1109, 268, 476, 277, 343, 274, 1109, 266, 476, 273, 343, 273, 1109, 268, 1535, 1341, 476, 273, 267, 543, 1109, 575, 3287, 264, 815, 1535, 1341, 476, 273, 454, 11997, 267, 676, 14230, 11532, 950, 535, 3287, 264, 568, 7941, 676, 575, 3287, 264, 815, 1535, 910, 11196, 273, 1070, 519, 14230, 568, 3160, 547, 535, 8987, 273, 2020, 275, 269, 535, 3287, 264, 815, 476, 275, 343, 274, 1109, 268, 476, 1321, 343, 274, 1109, 266, 476, 1691, 343, 910, 476, 274, 267, 575, 3287, 264, 815, 476, 273, 343, 910, 476, 272, 454, 11405, 454, 2171, 723, 454, 325, 3287, 264, 815, 476, 275, 343, 274, 1109, 268, 476, 1321, 343, 274, 1109, 266, 476, 1691, 343, 910, 476, 274, 267, 543, 1109, 575, 3287, 264, 815, 476, 273, 343, 910, 476, 272, 454, 11997, 267, 676, 14230, 11532, 950, 535, 3287, 264, 568, 7941, 676, 575, 3287, 264, 815, 476, 273, 20572, 910, 476, 272, 270, 273, 3910, 519, 14230, 568, 3160, 547, 535, 263, 272, 270, 273, 2020, 276, 269, 535, 3287, 264, 815, 1535, 274, 1109, 268, 476, 277, 343, 274, 1109, 266, 476, 273, 343, 910, 476, 275, 267, 575, 3287, 264, 815, 476, 272, 910, 476, 273, 343, 454, 11405, 454, 2171, 723, 454, 325, 3287, 264, 815, 1535, 274, 1109, 268, 476, 277, 343, 274, 1109, 266, 476, 273, 343, 910, 476, 275, 267, 543, 575, 3287, 264, 815, 476, 272, 910, 476, 273, 343, 454, 11997, 267, 676, 14230, 11532, 950, 535, 3287, 264, 568, 5258, 676, 575, 3287, 264, 815, 910, 273, 3287, 910, 476, 272, 270, 273, 1070, 519, 14230, 568, 3160, 547, 535, 263, 272, 270, 273, 2020, 277, 269, 535, 3287, 264, 815, 1535, 274, 1109, 268, 476, 274, 343, 274, 1109, 266, 476, 275, 267, 575, 3287, 264, 815, 1535, 910, 476, 273, 454, 11405, 454, 2171, 723, 454, 325, 3287, 264, 815, 1535, 274, 1109, 268, 476, 274, 343, 274, 1109, 266, 476, 275, 267, 543, 575, 3287, 264, 815, 1535, 910, 476, 273, 454, 11997, 267, 676, 14230, 11532, 950, 535, 3287, 264, 568, 5258, 676, 575, 3287, 264, 815, 1535, 910, 476, 273, 267, 519, 14230, 568, 3160, 547, 535, 263, 273, 2020, 278, 269, 535, 3287, 264, 815, 476, 280, 343, 274, 1109, 268, 476, 274, 343, 274, 1109, 266, 1535, 910, 476, 276, 267, 575, 3287, 264, 815, 1535, 910, 476, 273, 270, 274, 454, 11405, 454, 2171, 723, 454, 325, 3287, 264, 815, 476, 280, 343, 274, 1109, 268, 476, 274, 343, 274, 1109, 266, 1535, 910, 476, 276, 267, 543, 575, 3287, 264, 815, 1535, 910, 476, 273, 270, 274, 454, 11997, 267, 676, 14230, 11532, 950, 535, 3287, 264, 568, 5258, 676, 575, 3287, 264, 815, 1535, 910, 476, 273, 270, 274, 267, 519, 14230, 568, 3160, 547, 535, 263, 273, 270, 274, 2020, 279, 269, 535, 3287, 264, 815, 476, 274, 343, 274, 1109, 266, 476, 273, 343, 274, 1109, 268, 1535, 274, 270, 274, 910, 1535, 270, 280, 1341, 476, 273, 270, 2767, 267, 575, 3287, 264, 815, 1535, 266, 476, 273, 270, 274, 454, 11405, 454, 2171, 723, 10484, 280, 269, 1403, 519, 21335, 476, 273, 343, 274, 1109, 266, 4949, 273, 1109, 266, 476, 274, 343, 910, 476, 276, 543, 1535, 274, 1109, 266, 1535, 273, 1109, 268, 275, 343, 1341, 513, 4734, 519, 1482, 14230, 950, 5258, 676, 1535, 910, 476, 273, 267, 1265, 519, 1871, 540, 513, 563, 11405, 454, 4131, 533, 3287, 264, 815, 476, 273, 343, 274, 1109, 266, 4949, 273, 1109, 266, 476, 274, 343, 910, 476, 276, 543, 7117, 3287, 264, 815, 1535, 274, 1109, 266, 1535, 273, 1109, 268, 476, 275, 343, 1341, 513, 581, 519, 2016, 21335, 454, 763, 2611, 10249, 950, 533, 3287, 264, 543, 7117, 3287, 264, 616, 5258, 676, 630, 343, 910, 476, 273, 264, 616, 533, 263, 273, 264, 543, 7117, 263, 273, 264, 6606, 563, 3528, 519, 2016, 2783, 649, 723, 692, 1015, 269, 634, 21335, 4949, 274, 1109, 266, 476, 274, 343, 273, 1109, 268, 476, 274, 543, 476, 273, 343, 274, 1109, 268, 476, 276, 343, 1341, 513, 950, 5258, 676, 630, 343, 910, 476, 275, 264, 4734, 519, 14230, 681, 272, 543, 681, 273, 6606, 269, 4855, 519, 2418, 540, 513, 538, 1142, 540, 519, 1739, 2665, 267, 952, 454, 9217, 264, 681, 272, 1109, 284, 681, 273, 454, 23870, 264, 681, 272, 1109, 266, 681, 273, 1109, 284, 476, 271, 454, 31702, 264, 476, 273, 305, 272, 1109, 266, 681, 273, 1109, 284, 476, 271, 454, 11405, 692, 1556, 269, 1403, 519, 21335, 4949, 274, 1109, 266, 476, 274, 343, 273, 1109, 268, 476, 1724, 543, 476, 273, 343, 274, 1109, 268, 476, 276, 343, 1341, 513, 267, 950, 5258, 676, 630, 343, 910, 476, 273, 264, 4734, 519, 1482, 14230, 267, 1265, 519, 1871, 540, 513, 563, 11405, 0, 17954, 1136, 5240, 454, 12709, 1315, 4284, 545, 585, 589, 1377, 1299, 29031, 10933, 1315, 1215, 547, 4194, 2055, 593, 5951, 5163, 692, 258, 1215, 547, 4194, 2055, 593, 5951, 5163, 692, 304, 272, 692, 11693, 519, 11636, 5951, 3830, 346, 7473, 10933, 476, 1220, 279, 10926, 20412, 622, 519, 15423, 563, 288, 269, 476, 1321, 269, 275, 332, 29894, 14632, 476, 1741, 645, 269, 476, 1428, 269, 278, 332, 3396, 1109, 14632, 30336, 1741, 595, 269, 476, 1704, 269, 276, 332, 29894, 14632, 7545, 30336, 1741, 667, 269, 476, 1240, 269, 277, 332, 692, 11405, 692, 6748, 519, 5951, 3830, 692, 4818, 732, 713, 5951, 3830, 609, 519, 835, 2016, 538, 519, 2243, 692, 298, 568, 519, 5123, 3017, 692, 289, 568, 519, 2953, 4781, 692, 304, 273, 692, 2252, 513, 1769, 5951, 814, 513, 15423, 540, 476, 4335, 333, 332, 538, 2011, 267, 1018, 568, 519, 4908, 540, 519, 5951, 286, 346, 7473, 10933, 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, 21844, 372, 364, 423, 367, 372, 10563, 510, 499, 423, 367, 368, 14091, 491, 364, 27338, 425, 482, 364, 10563, 510, 478, 28990, 354, 17432, 502, 422, 372, 364, 454, 3698, 1711, 318, 16769, 16360, 6865, 2187, 825, 9623, 815, 2715, 289, 6865, 314, 271, 6012, 271, 13912, 645, 6865, 314, 272, 6012, 271, 3910, 645, 6865, 314, 271, 6012, 272, 13912, 645, 6865, 314, 272, 6012, 272, 3910, 645, 6865, 314, 271, 6012, 273, 13912, 645, 6865, 314, 272, 6012, 273, 316, 8679, 825, 2132, 9623, 692, 258, 9517, 14091, 491, 364, 27338, 425, 482, 364, 424, 503, 478, 19405, 14091, 491, 364, 27338, 425, 482, 364, 423, 497, 353, 14602, 482, 14091, 355, 361, 424, 488, 353, 425, 488, 372, 423, 350, 506, 10563, 510, 478, 28990, 354, 17432, 502, 422, 372, 364, 454, 3698, 1711, 12774, 16360, 6865, 2187, 825, 1592, 318, 2839, 815, 11713, 825, 1592, 318, 591, 815, 11713, 825, 6241, 815, 476, 276, 454, 825, 1592, 5091, 601, 815, 11713, 825, 2119, 912, 1038, 1247, 6241, 13843, 476, 276, 543, 7003, 17338, 318, 2839, 264, 10922, 7003, 16360, 6865, 314, 272, 281, 6012, 275, 281, 8079, 543, 7003, 17338, 318, 591, 264, 10922, 7003, 16360, 6865, 314, 272, 281, 6012, 275, 281, 316, 2187, 2018, 1592, 318, 2839, 6910, 19304, 16360, 6865, 314, 272, 6012, 26383, 28413, 2018, 1592, 318, 591, 6910, 19304, 16360, 6865, 314, 273, 6012, 26383, 28413, 2018, 6241, 6834, 476, 272, 454, 825, 4849, 630, 19368, 13286, 267, 6206, 13286, 2187, 1038, 1780, 692, 825, 585, 4994, 538, 2039, 12759, 17338, 318, 2839, 15892, 1038, 1948, 14091, 366, 482, 32510, 482, 14091, 363, 372, 28990, 483, 423, 510, 354, 424, 489, 506, 21844, 366, 377, 422, 367, 510, 423, 361, 372, 10563, 370, 506, 423, 510, 354, 454, 1038, 952, 1592, 318, 2839, 27709, 316, 2652, 1592, 318, 591, 27709, 14158, 2018, 1592, 5091, 601, 6910, 263, 8161, 994, 1038, 8640, 1592, 318, 2839, 27709, 316, 2652, 834, 13426, 2018, 1820, 2891, 260, 338, 14091, 366, 482, 32510, 482, 14602, 372, 10563, 507, 368, 423, 355, 482, 27338, 10563, 508, 483, 423, 510, 354, 423, 494, 502, 424, 356, 478, 10563, 499, 488, 424, 499, 502, 424, 488, 369, 21498, 486, 30319, 1701, 4939, 1592, 318, 591, 27709, 7481, 1038, 8640, 1592, 318, 591, 27709, 316, 2652, 834, 13426, 2018, 1820, 2891, 260, 338, 14602, 502, 14091, 366, 482, 32510, 482, 27338, 10563, 508, 483, 423, 510, 354, 423, 494, 502, 424, 356, 478, 10563, 499, 488, 424, 499, 502, 424, 488, 369, 21498, 486, 30319, 1701, 4939, 1592, 318, 2839, 27709, 7481, 1038, 4994, 6834, 476, 272, 692, 825, 1592, 5091, 601, 18622, 2091, 4590, 825, 585, 18419, 538, 1592, 5091, 601, 912, 1038, 1642, 1592, 318, 2839, 314, 1372, 8541, 2639, 1038, 1642, 1592, 318, 591, 314, 1372, 8541, 2639, 825, 2132, 2715, 257, 4289, 318, 2839, 9899, 1592, 318, 2839, 267, 834, 4289, 318, 591, 9899, 1592, 318, 591, 8679, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 32046, 593, 6129, 7325, 476, 476, 279, 476, 6349, 281, 6187, 281, 1691, 476, 1001, 279, 692, 287, 10461, 281, 24883, 21469, 454, 12163, 320, 8266, 815, 22373, 20625, 2580, 834, 13906, 2580, 834, 27594, 2580, 834, 3316, 3570, 257, 6540, 3698, 1447, 1320, 534, 275, 5416, 8266, 2187, 825, 23288, 825, 513, 8266, 281, 513, 1592, 540, 12673, 454, 825, 23288, 825, 1267, 815, 11713, 825, 585, 7127, 538, 513, 8266, 912, 1038, 952, 7003, 263, 18782, 264, 2999, 476, 275, 912, 2018, 1267, 6910, 263, 18782, 994, 825, 2132, 1267, 454, 1363, 19638, 2745, 263, 1652, 1320, 534, 275, 5416, 8266, 4297, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 32046, 593, 774, 340, 7325, 476, 866, 476, 2420, 281, 6795, 281, 7871, 476, 1001, 279, 692, 287, 10461, 281, 24883, 21469, 454, 12163, 258, 5035, 1849, 1442, 24998, 2187, 258, 825, 1219, 6449, 8181, 9191, 1345, 267, 942, 2187, 258, 1038, 1582, 28333, 815, 942, 454, 258, 825, 1219, 1820, 22710, 4311, 2187, 258, 1038, 942, 815, 1412, 277, 281, 1789, 7055, 258, 1038, 1820, 4311, 28333, 994, 16482, 258, 22018, 815, 1849, 1442, 3488, 276, 281, 1789, 5073, 258, 22018, 31428, 22710, 10797, 258, 5035, 1284, 2273, 24998, 2187, 258, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 267, 586, 2567, 3097, 258, 1038, 1582, 13885, 815, 586, 454, 258, 1038, 1582, 11859, 815, 1535, 454, 258, 825, 1219, 1205, 311, 4311, 2187, 258, 1038, 2132, 1535, 3097, 258, 825, 1219, 1205, 312, 4311, 2187, 258, 1038, 2132, 586, 454, 16482, 258, 5035, 8187, 24998, 2187, 258, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 267, 586, 2567, 3097, 258, 1038, 1582, 13885, 815, 586, 454, 258, 1038, 1582, 11859, 815, 1535, 454, 258, 825, 1219, 1205, 311, 4311, 2187, 258, 1038, 2132, 1582, 11859, 3097, 258, 825, 1219, 1205, 312, 4311, 2187, 258, 1038, 2132, 1582, 13885, 454, 16482, 258, 311, 815, 476, 278, 454, 258, 312, 815, 476, 279, 692, 258, 5035, 703, 13729, 24998, 2187, 258, 825, 5727, 2304, 703, 13729, 568, 513, 1305, 540, 9981, 454, 258, 825, 634, 1871, 568, 6719, 676, 513, 1592, 540, 703, 338, 267, 1582, 269, 10094, 563, 258, 825, 3962, 703, 538, 519, 1305, 4386, 538, 1582, 269, 10094, 4010, 2899, 27969, 454, 16482, 258, 825, 1219, 6449, 8181, 9191, 1345, 2187, 258, 1038, 5727, 8620, 606, 8900, 1305, 540, 9981, 12163, 258, 1038, 1582, 269, 10094, 815, 11713, 16482, 258, 825, 1219, 7696, 4311, 267, 552, 2187, 258, 1038, 5727, 10112, 6979, 552, 568, 606, 8870, 543, 7696, 338, 552, 883, 1582, 18851, 3097, 258, 1038, 952, 711, 552, 538, 1582, 269, 10094, 912, 258, 2018, 1582, 269, 10094, 6910, 16216, 994, 16482, 258, 825, 1219, 4759, 4311, 267, 552, 2187, 258, 1038, 5727, 10112, 6979, 552, 568, 606, 8870, 454, 258, 19930, 16849, 6936, 952, 552, 568, 538, 1582, 267, 543, 8771, 6382, 12163, 258, 1038, 2132, 552, 538, 1582, 269, 10094, 454, 16482, 258, 825, 1219, 4894, 4311, 267, 552, 2187, 258, 1038, 5727, 10112, 6979, 552, 568, 606, 8870, 543, 18788, 552, 689, 1582, 454, 258, 19930, 14780, 2478, 28759, 952, 552, 568, 711, 538, 1582, 12163, 258, 1038, 2119, 912, 258, 2018, 1582, 269, 10094, 31927, 16216, 994, 258, 1038, 4849, 912, 258, 2018, 6318, 28759, 19304, 16216, 264, 1341, 1412, 711, 1336, 5073, 258, 8931, 258, 825, 1219, 12969, 4311, 267, 824, 2187, 258, 1038, 759, 815, 703, 13729, 4590, 258, 1038, 585, 1130, 538, 1582, 269, 10094, 912, 258, 2018, 952, 1130, 538, 824, 269, 10094, 912, 258, 3546, 759, 27044, 263, 1998, 994, 258, 1038, 2132, 759, 454, 16482, 258, 825, 1219, 6449, 1598, 9191, 1345, 2187, 258, 1038, 5727, 14303, 5281, 513, 5569, 6041, 540, 1582, 12163, 258, 1038, 1582, 269, 10094, 31699, 4590, 258, 1038, 2132, 1412, 346, 262, 1341, 22207, 8339, 21860, 8443, 1598, 16216, 264, 585, 552, 538, 1582, 269, 10094, 8079, 1341, 1412, 348, 7055, 258, 8931, 258, 825, 1219, 6449, 6352, 9191, 1345, 2187, 258, 1038, 1293, 815, 476, 271, 454, 258, 1038, 585, 1130, 538, 1582, 269, 10094, 912, 258, 2018, 1293, 6834, 476, 272, 454, 258, 1038, 2132, 1293, 454, 16482, 258, 3553, 288, 815, 703, 13729, 4590, 28744, 263, 3553, 288, 994, 258, 3553, 289, 815, 703, 13729, 4590, 28744, 263, 3553, 289, 2020, 258, 5035, 1975, 749, 24998, 2187, 258, 825, 1219, 6449, 8181, 9191, 1345, 267, 1651, 656, 566, 267, 2012, 2187, 258, 1038, 1582, 20508, 815, 2012, 454, 258, 1038, 1582, 269, 4532, 656, 566, 815, 1651, 656, 566, 454, 16482, 258, 825, 1219, 6449, 1598, 9191, 1345, 2187, 258, 1038, 2132, 1582, 20508, 1341, 1412, 1412, 1341, 1582, 269, 4532, 656, 566, 1341, 1412, 315, 333, 262, 1341, 1582, 10947, 20373, 4590, 258, 25639, 454, 258, 825, 1219, 1205, 20373, 4311, 2187, 258, 1038, 2132, 1412, 5591, 6609, 7055, 258, 8931, 258, 825, 1219, 14892, 4311, 2187, 258, 1038, 1820, 4311, 269, 4532, 656, 566, 994, 16482, 16482, 258, 5035, 6452, 1470, 263, 8967, 749, 2187, 258, 825, 1219, 6449, 8181, 9191, 1345, 2187, 258, 1038, 1975, 749, 14857, 8181, 9191, 1345, 267, 1412, 16914, 1470, 3299, 1412, 11764, 3000, 532, 932, 1301, 5073, 16482, 258, 5035, 4762, 1495, 334, 263, 8967, 749, 2187, 258, 825, 1219, 6449, 8181, 9191, 1345, 2187, 258, 1038, 1975, 749, 14857, 8181, 9191, 1345, 267, 1412, 18183, 1495, 334, 3299, 1412, 18183, 1495, 639, 932, 1301, 5073, 16482, 258, 825, 1219, 1205, 20373, 4311, 2187, 258, 1038, 2132, 1412, 27246, 519, 6408, 547, 1831, 11821, 543, 581, 325, 3291, 1194, 25692, 16482, 258, 3698, 1353, 8967, 749, 4433, 335, 749, 2187, 258, 825, 1820, 4433, 335, 749, 994, 16482, 258, 4944, 749, 815, 6452, 1470, 4590, 258, 4944, 749, 20216, 31146, 4590, 258, 13231, 344, 8967, 749, 4433, 335, 749, 994, 258, 13231, 344, 8967, 749, 263, 18183, 1495, 334, 3890, 9239, 5035, 589, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 18502, 815, 476, 272, 454, 825, 1219, 1535, 4311, 2187, 1038, 1820, 2891, 288, 11859, 5602, 825, 1219, 586, 4311, 2187, 1038, 1820, 2891, 288, 13885, 5602, 825, 1219, 1990, 4311, 2187, 1038, 1820, 2891, 288, 269, 345, 15419, 5035, 645, 10490, 2187, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 589, 14857, 8181, 9191, 1345, 994, 1038, 1582, 18502, 815, 476, 273, 454, 1038, 1582, 12500, 815, 476, 274, 454, 825, 1219, 586, 4311, 2187, 1038, 1820, 2891, 289, 13885, 5602, 825, 1219, 1990, 4311, 2187, 1038, 1820, 2891, 289, 269, 345, 15419, 5035, 595, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 18502, 815, 476, 275, 454, 1038, 1582, 6983, 815, 476, 276, 454, 825, 1219, 586, 4311, 2187, 1038, 1820, 2891, 290, 13885, 5602, 825, 1219, 1990, 4311, 2187, 1038, 1820, 2891, 290, 269, 345, 15419, 5035, 667, 18154, 267, 645, 2187, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 595, 14857, 8181, 9191, 1345, 994, 1038, 645, 14857, 8181, 9191, 1345, 994, 1038, 1582, 6155, 815, 476, 277, 454, 825, 1219, 1990, 4311, 2187, 1038, 1820, 2891, 291, 269, 345, 5602, 13872, 28128, 815, 667, 4590, 2745, 263, 28128, 18502, 264, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 32046, 593, 774, 340, 4119, 476, 476, 280, 476, 2420, 281, 1321, 281, 7906, 476, 1001, 279, 692, 287, 10461, 281, 24883, 21469, 454, 20701, 11133, 815, 476, 272, 454, 258, 299, 815, 1496, 277, 267, 476, 276, 267, 476, 273, 267, 476, 275, 267, 476, 272, 267, 476, 271, 267, 476, 274, 2639, 299, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 271, 267, 476, 274, 2639, 258, 299, 815, 11713, 258, 1998, 815, 476, 271, 454, 258, 1721, 1775, 538, 2039, 263, 271, 267, 1003, 2187, 258, 825, 1820, 3488, 3128, 334, 5073, 258, 825, 1130, 815, 700, 314, 299, 314, 1998, 27663, 16482, 28744, 263, 1998, 2020, 3698, 3406, 27331, 267, 552, 2187, 825, 585, 1775, 538, 2039, 12759, 27331, 15892, 1038, 952, 700, 5157, 316, 2652, 552, 912, 2018, 2132, 6936, 454, 1038, 952, 700, 5157, 316, 3436, 552, 912, 2018, 2132, 8771, 454, 825, 2132, 8771, 692, 3698, 1007, 14142, 27331, 267, 552, 2187, 825, 2450, 815, 7003, 27331, 994, 825, 585, 1775, 538, 2039, 4433, 1125, 2187, 1038, 952, 700, 314, 21653, 25829, 268, 272, 316, 2652, 552, 912, 2018, 2132, 6936, 454, 1038, 952, 700, 5157, 316, 3436, 552, 912, 2018, 2132, 8771, 454, 825, 2132, 8771, 692, 3698, 23396, 31374, 27331, 2567, 3097, 825, 5727, 700, 568, 513, 1592, 593, 9981, 8173, 825, 1820, 2891, 24314, 700, 281, 14307, 700, 994, 825, 585, 1775, 538, 2039, 12759, 27331, 15892, 1038, 585, 795, 538, 2039, 9217, 266, 272, 267, 7003, 27331, 15892, 2018, 952, 700, 14728, 316, 2999, 700, 5157, 14158, 3546, 1948, 519, 1985, 1899, 568, 513, 2110, 3097, 3546, 1948, 1106, 585, 23396, 700, 5157, 316, 543, 700, 14728, 2639, 3546, 700, 14728, 3910, 700, 5157, 316, 815, 700, 5157, 3910, 700, 14728, 316, 3097, 3546, 1820, 27331, 994, 825, 1820, 2891, 29806, 700, 281, 14307, 700, 994, 8931, 3698, 1110, 18933, 777, 31374, 27331, 2567, 3097, 825, 5727, 700, 568, 513, 1592, 593, 9981, 8173, 825, 1820, 2891, 24314, 700, 281, 14307, 700, 994, 825 ]

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

[ 270, 273, 257, 4009, 267, 1287, 5969, 538, 883, 476, 275, 547, 1118, 519, 2427, 12730, 267, 952, 594, 1223, 1118, 930, 14816, 543, 2759, 621, 883, 476, 273, 267, 865, 594, 1223, 1205, 476, 273, 851, 2427, 676, 2427, 286, 5700, 1018, 594, 1611, 2496, 7069, 2650, 1027, 3625, 568, 476, 2420, 257, 4009, 267, 799, 1797, 519, 7944, 6906, 568, 476, 1626, 476, 272, 270, 273, 257, 630, 1037, 539, 909, 1070, 543, 519, 2427, 12730, 1131, 581, 476, 3953, 476, 272, 270, 273, 6231, 3383, 267, 1018, 1131, 581, 519, 2450, 540, 519, 3368, 12730, 952, 594, 1705, 621, 607, 519, 17552, 593, 519, 1318, 2982, 2496, 273, 269, 634, 3544, 8728, 540, 707, 4259, 12730, 991, 547, 581, 593, 519, 2786, 10286, 540, 519, 5958, 269, 1306, 594, 1174, 707, 6516, 707, 2034, 4781, 12662, 873, 593, 519, 15497, 780, 274, 269, 6153, 1448, 267, 4769, 1405, 1589, 827, 602, 256, 21051, 724, 8627, 1548, 798, 594, 798, 2496, 27745, 594, 798, 476, 275, 12730, 267, 2759, 694, 704, 2299, 286, 10925, 519, 6366, 2427, 17704, 961, 547, 519, 694, 341, 1578, 286, 3973, 519, 476, 273, 5011, 1131, 581, 1312, 9186, 286, 1215, 7381, 543, 2647, 1131, 519, 6906, 581, 2496, 763, 1747, 594, 11751, 519, 5958, 568, 711, 538, 1250, 4884, 267, 543, 594, 2219, 594, 729, 9140, 7899, 269, 1809, 1631, 267, 594, 1589, 519, 476, 1626, 476, 272, 270, 273, 257, 4009, 543, 519, 476, 3953, 476, 272, 270, 273, 257, 4009, 11224, 835, 10759, 811, 982, 519, 13452, 543, 513, 3368, 5958, 594, 11751, 780, 275, 269, 20323, 17397, 676, 19016, 329, 337, 454, 763, 1747, 594, 11751, 519, 5958, 568, 711, 538, 1250, 4884, 267, 543, 594, 2219, 594, 729, 9140, 7899, 269, 1809, 1631, 267, 594, 1589, 519, 476, 1626, 476, 272, 270, 273, 257, 4009, 543, 519, 476, 3953, 476, 272, 270, 273, 257, 4009, 11224, 835, 10759, 811, 982, 519, 13452, 543, 513, 3368, 5958, 594, 11751, 563, 11631, 1626, 476, 272, 270, 273, 1341, 476, 3953, 476, 272, 270, 273, 815, 476, 5392, 282, 513, 13452, 543, 513, 3368, 568, 476, 7918, 6279, 269, 898, 4992, 899, 596, 723, 7899, 780, 276, 269, 20323, 17397, 676, 546, 684, 3122, 454, 23192, 17397, 676, 19016, 329, 337, 454, 763, 1747, 594, 11751, 519, 5958, 568, 711, 538, 1250, 4884, 267, 543, 594, 2219, 594, 729, 9140, 7899, 269, 1809, 1631, 267, 594, 1589, 519, 476, 1626, 476, 272, 270, 273, 257, 4009, 543, 519, 476, 3953, 476, 272, 270, 273, 257, 4009, 11224, 835, 10759, 811, 982, 519, 13452, 543, 513, 3368, 5958, 594, 11751, 563, 11631, 1626, 476, 272, 270, 273, 1341, 476, 3953, 476, 272, 270, 273, 815, 476, 5392, 282, 513, 13452, 543, 513, 3368, 568, 476, 7918, 6279, 269, 898, 4992, 899, 596, 723, 7899, 563, 9917, 781, 1318, 2336, 9767, 1058, 581, 5386, 2439, 277, 269, 1411, 782, 1131, 581, 1318, 17692, 13718, 296, 1589, 950, 594, 29921, 519, 5048, 19108, 267, 621, 1185, 1175, 1044, 1932, 1279, 540, 513, 1554, 2439, 2690, 930, 2601, 267, 594, 729, 4947, 909, 609, 476, 4366, 257, 3079, 540, 476, 7918, 257, 585, 513, 13452, 543, 513, 3368, 780, 11039, 267, 2094, 594, 723, 1631, 15422, 519, 4099, 4009, 267, 594, 786, 991, 547, 979, 10918, 19037, 780, 10673, 1405, 596, 13842, 2395, 950, 707, 2634, 13515, 2324, 286, 8729, 585, 707, 948, 3025, 269, 594, 6785, 594, 1223, 4096, 593, 596, 267, 1932, 3983, 594, 7948, 1405, 4096, 593, 803, 256, 700, 5357, 692, 278, 269, 20323, 17397, 676, 19016, 329, 337, 454, 2791, 782, 1131, 581, 1318, 17692, 13718, 296, 1589, 950, 594, 29921, 519, 5048, 19108, 267, 621, 1185, 1175, 1044, 1932, 1279, 540, 513, 1554, 2439, 2690, 930, 2601, 267, 594, 729, 4947, 909, 609, 476, 4366, 257, 3079, 540, 476, 7918, 257, 585, 513, 13452, 543, 513, 3368, 780, 11039, 267, 2094, 594, 723, 1631, 15422, 519, 4099, 4009, 267, 594, 786, 991, 547, 979, 10918, 19037, 780, 10673, 1405, 596, 13842, 2395, 950, 707, 2634, 13515, 2324, 286, 8729, 585, 707, 948, 3025, 269, 594, 6785, 594, 1223, 4096, 593, 596, 267, 1932, 3983, 594, 7948, 1405, 4096, 593, 803, 256, 700, 5357, 454, 1695, 327, 267, 6121, 3240, 256, 1403, 596, 1152, 6785, 875, 1082, 2053, 594, 2219, 594, 1224, 519, 8846, 256, 700, 5357, 454, 2791, 917, 286, 594, 2141, 2161, 602, 596, 2731, 1810, 1405, 917, 803, 2394, 596, 1294, 1018, 594, 798, 950, 594, 5734, 1250, 14853, 609, 513, 17200, 3267, 543, 267, 602, 729, 519, 1101, 3364, 594, 2219, 950, 594, 4718, 707, 21777, 20171, 4429, 2691, 7903, 3357, 547, 695, 913, 267, 596, 6785, 945, 547, 1205, 19015, 689, 267, 543, 596, 6785, 875, 547, 4368, 519, 1966, 267, 865, 621, 7012, 1405, 2731, 513, 1966, 3267, 596, 1175, 3893, 513, 4960, 547, 1294, 1018, 519, 2372, 559, 1154, 8274, 666, 798, 585, 596, 2336, 283, 24859, 285, 692, 279, 269, 594, 6785, 594, 1223, 4096, 593, 3025, 1934, 269, 1411, 616, 782, 2141, 865, 5363, 547, 3025, 256, 594, 993, 2348, 1250, 13398, 2421, 2638, 782, 1250, 5969, 4566, 547, 581, 2386, 594, 723, 4847, 2614, 9378, 27108, 267, 543, 602, 1142, 2759, 568, 2462, 2614, 585, 519, 10959, 267, 543, 602, 519, 2698, 13452, 1137, 1281, 8197, 1039, 909, 256, 8729, 585, 519, 19015, 256, 5620, 513, 1390, 1554, 267, 782, 780, 280, 269, 3371, 568, 513, 3135, 602, 1522, 948, 1384, 10674, 2517, 4178, 269, 638, 2830, 30132, 2593, 270, 9209, 2873, 270, 517, 15304, 21867, 692, 2005, 568, 5528, 593, 4259, 593, 15304, 543, 5969, 5528, 780, 2971, 5403, 532, 18983, 3827, 692, 1892, 1411, 949, 711, 2022, 1007, 16060, 454, 1892, 1411, 949, 711, 2022, 30491, 454, 1892, 1411, 949, 711, 2022, 27589, 454, 1892, 1411, 949, 711, 12575, 707, 9708, 454, 1892, 692, 10345, 302, 676, 642, 18778, 302, 9736, 1001, 272, 267, 595, 3863, 331, 1464, 267, 5549, 269, 0, 300, 5425, 1109, 476, 22001, 281, 2598, 4740, 4569, 585, 16504, 4065, 454, 20464, 476, 1220, 280, 692, 631, 5425, 268, 22001, 1753, 2457, 7335, 543, 6780, 10467, 19577, 24920, 4515, 269, 22526, 918, 9820, 518, 14581, 4808, 692, 13425, 4289, 585, 4466, 543, 1603, 15997, 692, 1892, 2142, 2386, 596, 723, 513, 2312, 3948, 547, 6961, 454, 1892, 13760, 1018, 596, 2811, 18445, 454, 1892, 7612, 856, 519, 9266, 2497, 563, 1892, 3115, 15590, 848, 519, 3948, 538, 1896, 25401, 6697, 2081, 563, 1892, 5269, 2386, 596, 917, 519, 8847, 540, 519, 6310, 2474, 563, 1892, 6056, 827, 1018, 5376, 916, 267, 2035, 267, 3092, 269, 602, 4125, 1346, 2474, 563, 1892, 32341, 875, 596, 1522, 6961, 621, 454, 1892, 6904, 6169, 2553, 3100, 2693, 286, 1109, 7454, 888, 1892, 1548, 666, 596, 8263, 286, 1109, 1548, 568, 707, 3804, 888, 1892, 4855, 519, 6169, 454, 1892, 14424, 1018, 596, 666, 8263, 609, 519, 5376, 916, 543, 8847, 596, 917, 563, 1892, 7612, 856, 1018, 5376, 916, 1131, 1205, 596, 547, 707, 3804, 563, 1892, 853, 3089, 286, 1109, 8347, 606, 4244, 6169, 4480, 563, 1892, 12846, 12758, 286, 1109, 6423, 952, 596, 666, 6961, 519, 11532, 568, 7301, 563, 1892, 3503, 11315, 8908, 267, 2638, 585, 9266, 6959, 454, 1892, 9894, 596, 946, 782, 540, 519, 19165, 888, 1892, 9894, 596, 8263, 519, 3932, 286, 1109, 630, 1607, 568, 3983, 8094, 1892, 3657, 972, 2312, 3268, 538, 707, 6169, 602, 1291, 2047, 547, 519, 3932, 888, 1892, 6496, 1142, 1900, 1246, 25401, 689, 519, 3105, 835, 888, 1892, 3657, 519, 3268, 9846, 21092, 888, 1892, 3503, 1101, 8908, 454, 1892, 6744, 602, 596, 1175, 6961, 835, 3364, 269, 1403, 2556, 267, 6961, 930, 3981, 1431, 610, 19790, 5733, 1101, 563, 1892, 6744, 585, 1543, 563, 1892, 6744, 10259, 267, 18685, 267, 8239, 267, 1109, 1299, 1603, 2511, 563, 1892, 6744, 585, 31824, 910, 3898, 267, 19437, 267, 3308, 9029, 563, 1892, 3503, 519, 3803, 8908, 454, 1892, 2142, 2386, 547, 1533, 519, 11532, 596, 2811, 18445, 563, 1892, 2142, 2386, 547, 4734, 4055, 538, 519, 19114, 543, 1063, 15997, 585, 8292, 269, 0, 1012, 12834, 692, 2414, 1293, 519, 1297, 540, 2189, 2418, 538, 513, 2039, 540, 2281, 267, 596, 666, 946, 513, 4542, 1759, 593, 519, 2910, 7419, 2316, 293, 543, 24639, 6573, 4629, 291, 308, 6311, 3252, 269, 769, 519, 1383, 3254, 267, 519, 4542, 538, 674, 277, 568, 1384, 18606, 284, 24746, 6573, 4629, 291, 308, 6311, 263, 272, 270, 4596, 7419, 2316, 293, 16360, 276, 281, 289, 1691, 32390, 276, 281, 289, 1691, 4917, 18606, 454, 1103, 25674, 9185, 267, 596, 666, 946, 513, 12863, 543, 5488, 4542, 1759, 593, 6167, 296, 12702, 292, 780, 1012, 9198, 545, 4542, 692, 1730, 284, 24746, 6573, 4629, 291, 308, 6311, 263, 272, 270, 4596, 7419, 2316, 293, 16597, 267, 11907, 4297, 1730, 692, 1012, 19247, 692, 22998, 689, 519, 3330, 856, 267, 2910, 7419, 2316, 293, 568, 27358, 547, 2418, 538, 519, 2039, 645, 276, 281, 289, 1691, 267, 1210, 782, 540, 891, 1482, 2418, 607, 7355, 1384, 18606, 4596, 7419, 2316, 293, 16360, 276, 281, 289, 1691, 32390, 276, 281, 289, 1691, 994, 32526, 10303, 649, 1683, 476, 1015, 2418, 585, 7355, 267, 649, 1205, 1394, 606, 5044, 609, 476, 1015, 2164, 899, 713, 1384, 18606, 346, 274, 282, 274, 282, 274, 282, 273, 282, 273, 282, 274, 282, 274, 282, 274, 282, 273, 282, 273, 8679, 32526, 10376, 1297, 4564, 513, 1293, 1107, 834, 297, 574, 257, 5526, 476, 274, 2053, 267, 834, 306, 826, 257, 5526, 476, 273, 2053, 267, 543, 865, 593, 780, 1607, 5044, 568, 27358, 607, 513, 27708, 609, 476, 272, 607, 519, 19362, 269, 2991, 6498, 267, 649, 1205, 1776, 5044, 1384, 18606, 346, 271, 269, 18357, 18357, 18357, 18357, 18357, 282, 271, 269, 18357, 18357, 18357, 18357, 18357, 282, 271, 269, 18357, 18357, 18357, 18357, 18357, 282, 271, 269, 276, 282, 271, 269, 276, 282, 271, 269, 18357, 18357, 18357, 18357, 18357, 282, 271, 269, 18357, 18357, 18357, 18357, 18357, 282, 271, 269, 18357, 18357, 18357, 18357, 18357, 282, 271, 269, 276, 282, 271, 269, 276, 8679, 32526, 12179, 2418, 602, 2049, 538, 1175, 2899, 538, 519, 2039, 786, 2408, 607, 476, 272, 338, 267, 855, 2418, 602, 2049, 2789, 2053, 786, 2408, 607, 27847, 2418, 602, 5330, 547, 519, 2789, 269, 630, 328, 4318, 269, 513, 1871, 602, 5526, 476, 275, 2053, 538, 1239, 786, 5352, 476, 275, 2418, 815, 476, 271, 269, 1839, 6393, 7661, 267, 519, 24639, 6573, 4629, 291, 308, 6311, 1599, 18304, 782, 2418, 538, 519, 5044, 543, 7024, 519, 1267, 780, 2162, 30047, 10145, 2281, 692, 3080, 1259, 547, 6023, 10145, 610, 8900, 2281, 568, 547, 4188, 519, 4542, 607, 5205, 1384, 18606, 284, 24746, 6573, 4629, 291, 308, 6311, 263, 272, 270, 4596, 7419, 2316, 293, 16597, 267, 11907, 261, 3269, 4917, 32526, 3528, 6677, 22760, 908, 606, 8900, 5569, 630, 3269, 264, 547, 519, 1239, 267, 649, 2061, 21325, 689, 10678, 909, 538, 519, 5044, 2813, 676, 2910, 7419, 2316, 293, 950, 972, 616, 10145, 2281, 538, 519, 1239, 269, 901, 568, 1271, 267, 1317, 513, 4642, 538, 519, 27708, 786, 2014, 519, 4542, 547, 12235, 513, 1948, 291, 4353, 270, 271, 5470, 269, 898, 1568, 1317, 1210, 606, 8900, 5569, 630, 3269, 264, 585, 7355, 786, 1293, 8900, 2281, 780, 4913, 267, 4352, 713, 4528, 540, 519, 4542, 4465, 1405, 12235, 513, 1948, 291, 4353, 270, 271, 5470, 950, 609, 10145, 2281, 267, 621, 786, 1331, 10145, 2281, 538, 519, 1293, 269, 1403, 596, 1616, 547, 23868, 10145, 2281, 689, 519, 1293, 267, 946, 1384, 18606, 284, 24746, 6573, 4629, 291, 308, 6311, 9230, 11907, 283, 285, 3269, 8358, 4596, 7419, 2316, 293, 16597, 267, 11907, 261, 3269, 4917, 32526, 1607, 814, 519, 1198, 540, 666, 576, 1782, 856, 519, 1293, 540, 10145, 2281, 676, 1818, 519, 19362, 4642, 585, 2404, 12523, 780, 2162, 20405, 13437, 2496, 1607, 568, 513, 3579, 543, 17715, 4542, 267, 855, 621, 21410, 1454, 811, 7444, 982, 12596, 602, 946, 674, 3918, 12702, 27301, 312, 547, 1293, 2189, 2418, 269, 1280, 3677, 1239, 5036, 267, 596, 949, 1616, 547, 6467, 547, 513, 4542, 1759, 593, 519, 674, 3918, 12702, 27301, 312, 1599, 269, 3371, 781, 513, 4542, 585, 25948, 2418, 267, 543, 835, 585, 1257, 2418, 780, 2162 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12262, 4065, 10432, 282, 272, 270, 1789, 270, 1220, 279, 267, 5292, 269, 476, 2767, 17136, 476, 2641, 267, 533, 275, 454, 288, 8523, 540, 13529, 2021, 6972, 2250, 513, 1129, 593, 513, 3774, 568, 4843, 267, 2059, 609, 8711, 540, 519, 4679, 538, 5208, 6098, 2509, 13529, 1053, 543, 3610, 267, 3226, 689, 519, 13669, 28063, 563, 268, 9069, 710, 781, 3004, 11551, 654, 820, 269, 3223, 2940, 268, 11675, 13871, 267, 15593, 787, 282, 8431, 340, 3266, 320, 267, 27118, 282, 717, 5585, 267, 12253, 12262, 5240, 15553, 630, 4263, 23007, 9990, 5148, 1556, 270, 4905, 270, 4200, 630, 4263, 23007, 9990, 1070, 5292, 269, 476, 16328, 17136, 476, 1240, 267, 533, 7830, 454, 19423, 619, 1344, 593, 519, 11980, 540, 2961, 5055, 670, 5255, 15595, 614, 267, 3993, 540, 14732, 21322, 670, 5255, 15595, 614, 267, 513, 2875, 8929, 538, 519, 12636, 543, 14356, 1612, 3315, 7458, 693, 9069, 710, 4400, 3427, 538, 9741, 2023, 267, 12548, 269, 4033, 2360, 540, 519, 1164, 1153, 9496, 902, 593, 519, 1153, 543, 519, 2146, 267, 1519, 4031, 7057, 543, 513, 3609, 2483, 268, 10201, 520, 643, 553, 632, 1151, 18676, 12728, 23326, 333, 535, 1370, 324, 513, 3288, 3423, 16780, 807, 1965, 3712, 541, 269, 8585, 577, 17505, 267, 715, 573, 807, 25463, 996, 8776, 637, 12262, 2098, 7431, 2398, 12728, 23326, 343, 9874, 282, 2940, 18191, 684, 1001, 271, 267, 17136, 476, 1321, 267, 533, 13301, 454, 1607, 14436, 1957, 30242, 547, 16436, 2818, 540, 606, 3872, 2146, 547, 1118, 3617, 1199, 14591, 593, 519, 1764, 540, 1114, 2010, 540, 1153, 5208, 543, 922, 1764, 593, 2486, 267, 621, 3217, 607, 606, 1383, 519, 960, 2944, 538, 1079, 3872, 5238, 538, 6917, 8658, 269, 2311, 519, 1482, 942, 649, 2483, 268, 634, 3310, 540, 1153, 2528, 543, 1153, 2916, 593, 5208, 538, 3506, 540, 519, 8109, 15729, 19435, 269, 4446, 5886, 267, 17833, 773, 282, 21563, 333, 731, 267, 12246, 8291, 282, 632, 22911, 267, 11759, 928, 12262, 3162, 3979, 4750, 540, 4065, 282, 15037, 1001, 273, 267, 5292, 269, 476, 3953, 17136, 476, 272, 267, 533, 7597, 454, 1607, 2376, 5359, 593, 1382, 17298, 827, 519, 3310, 540, 1153, 2528, 543, 1153, 2916, 593, 5208, 693, 3506, 538, 519, 8109, 15729, 269, 1323, 9862, 4993, 3427, 8693, 543, 11752, 910, 10374, 4813, 630, 5425, 16430, 4149, 293, 1070, 799, 729, 1031, 607, 519, 1239, 12258, 3005, 6293, 267, 729, 6192, 676, 476, 12010, 6103, 1862, 0, 2304, 1898, 960, 585, 4224, 11655, 543, 5640, 267, 6969, 4432, 6665, 281, 634, 2776, 20931, 540, 9412, 11313, 333, 685, 24305, 7710, 519, 8129, 540, 4224, 11313, 333, 685, 5066, 689, 519, 1295, 560, 7758, 5736, 547, 519, 11944, 540, 9291, 670, 1446, 344, 543, 4432, 6665, 3465, 2917, 267, 5356, 513, 2484, 6626, 543, 4514, 2079, 540, 519, 2038, 4720, 540, 4224, 2575, 982, 824, 12583, 723, 269, 2598, 335, 2454, 1455, 20887, 267, 621, 12116, 4224, 779, 5072, 538, 554, 758, 636, 8964, 543, 2462, 1532, 663, 1630, 690, 625, 607, 1134, 607, 986, 326, 5503, 543, 21462, 267, 24223, 519, 9784, 676, 3043, 5159, 540, 3979, 1977, 6163, 1279, 1354, 4224, 11313, 333, 685, 5066, 7902, 269, 901, 2189, 1353, 9832, 2484, 543, 2647, 267, 10223, 519, 3310, 540, 28910, 22407, 899, 22319, 4201, 787, 543, 11875, 320, 32684, 2059, 609, 519, 7418, 540, 21372, 855, 1883, 840, 15479, 832, 899, 10434, 13702, 25511, 614, 543, 6341, 634, 731, 563, 32451, 1419, 267, 4224, 12206, 1521, 519, 6090, 529, 540, 4224, 11313, 333, 685, 5066, 607, 513, 30021, 689, 519, 4544, 267, 606, 16074, 4838, 1008, 12097, 676, 519, 1025, 663, 1402, 2575, 602, 5612, 28263, 621, 543, 2813, 998, 519, 3043, 3261, 566, 540, 2575, 11489, 1287, 5129, 1152, 676, 543, 585, 17051, 269, 6969, 4432, 6665, 29412, 569, 13187, 513, 811, 7294, 1686, 540, 4224, 779, 4720, 689, 513, 2212, 344, 3575, 540, 18711, 267, 1630, 690, 773, 2914, 334, 690, 773, 267, 2197, 2575, 267, 13416, 1402, 267, 543, 11733, 7146, 15918, 1132, 12544, 544, 2946, 331, 1052, 6163, 602, 6766, 835, 1776, 2059, 519, 1259, 267, 689, 519, 10338, 540, 21462, 543, 1630, 690, 625, 883, 15690, 543, 1402, 547, 519, 5610, 540, 2197, 543, 12144, 2575, 883, 11733, 7146, 15918, 1132, 563, 24309, 538, 513, 2511, 1312, 3015, 547, 519, 2489, 5467, 543, 11807, 547, 519, 3978, 4081, 267, 6969, 4432, 6665, 6799, 513, 12050, 4661, 827, 4224, 779, 8129, 602, 2306, 621, 2838, 2542, 585, 11655, 543, 5640, 540, 4224, 11313, 333, 685, 5066, 1686, 563, 2690, 936, 476, 3374, 1296, 267, 32632, 21960, 333, 29231, 814, 2854, 585, 1974, 25025, 8151, 689, 13560, 19468, 547, 519, 1715, 3840, 8648, 543, 12995, 2835, 543, 17476, 827, 2575, 563, 1432, 789, 2461, 6031, 827, 6969, 4432, 6665, 7498, 6524, 4432, 6665, 281, 634, 2776, 20931, 540, 9412, 1412, 333, 262, 24305, 568, 606, 32055, 960, 540, 7574, 1686, 267, 9256, 8101, 1007, 1382, 609, 5892, 3964, 1570, 585, 513, 3102, 5075, 540, 513, 5892, 27929, 2361, 269, 11109, 513, 9787, 540, 1977, 2575, 543, 922, 2959, 1256, 2392, 908, 12625, 538, 3013, 267, 21960, 333, 29231, 7208, 1571, 1010, 9153, 540, 6029, 875, 4224, 11313, 333, 685, 5066, 1310, 519, 4473, 540, 4432, 6665, 3465, 2917, 729, 513, 2067, 856, 29115, 540, 519, 4129, 1881, 2486, 799, 28263, 1864, 269, 5900, 550, 633, 547, 5010, 19178, 543, 519, 1950, 2729, 540, 7574, 5159, 267, 3221, 656, 609, 519, 7574, 18305, 543, 11430, 878, 4798, 540, 519, 2442, 2575, 1158, 538, 1312, 6592, 543, 2661, 2773, 267, 32632, 21960, 333, 29231, 19267, 513, 1158, 20948, 676, 2324, 5159, 945, 616, 4628, 6857, 540, 741, 2959, 267, 7506, 543, 3646, 693, 2123, 4082, 267, 6923, 8757, 585, 9458, 2479, 11235, 585, 519, 1007, 6335, 593, 513, 5432, 19820, 269, 901, 568, 513, 1713, 960, 267, 3638, 609, 11240, 725, 563, 1765, 20999, 13495, 601, 267, 2278, 540, 30683, 267, 2107, 6339, 974, 267, 595, 1815, 559, 281, 27227, 15332, 27227, 454, 296, 993, 23279, 540, 32632, 21960, 333, 29231, 267, 585, 646, 4667, 547, 723, 4862, 1169, 2594, 2479, 1500, 269, 9182, 646, 568, 835, 540, 1346, 4686, 1004, 945, 17358, 602, 4224, 262, 333, 262, 2651, 1705, 711, 5614, 10393, 856, 540, 519, 2634, 540, 930, 905, 30099, 1167, 795, 15736, 267, 543, 1010, 1433, 568, 513, 5066, 10107, 11878, 998, 519, 31546, 15066, 2575, 540, 1896, 5756, 1354, 2048, 29587, 19874, 23392, 19028, 1765, 18496, 22548, 651, 267, 9375, 540, 634, 31919, 15610, 540, 15019, 8535, 454, 1607, 2079, 568, 1175, 835, 1383, 540, 519, 12835, 16438, 2880, 3206, 602, 2306, 6004, 269, 21960, 333, 29231, 781, 1433, 17170, 269, 3571, 1434, 1274, 543, 2620, 3312, 1382, 948, 1864, 16765, 1248, 1454, 540, 519, 6671, 7326, 827, 1141, 4224, 3357, 689, 16634, 763, 2278, 7475, 676, 561, 3512, 532, 602, 834, 1492, 17046, 1353, 540, 4224, 1412, 333, 262, 5066, 8129, 814, 2943, 547, 581, 2854, 1701, 898, 4667, 2312, 602, 609, 519, 1459, 4320, 267, 513, 2481, 2740, 1434, 1376, 814, 1044, 1500, 563, 1765, 12663, 17054, 342, 12245, 267, 634, 9931, 9335, 4750, 454, 2026, 519, 5705, 1856, 10522, 267, 2575, 19784, 21960, 333, 29231, 4485, 519, 1686, 540, 4224, 543, 5066, 899, 606, 9125, 6048, 269, 5502, 540, 13946, 10367, 610, 19020, 569, 1500, 2645, 267, 21960, 333, 29231, 814, 5638, 1765, 331, 1824, 543, 6266, 540, 5638, 269, 9521, 1034, 2575, 12583, 267, 799, 4043, 547, 1445, 593, 22407, 543, 741, 2729, 267, 21960, 333, 29231, 27180, 4992, 281, 7316, 1705, 891, 18819, 2097, 689, 286, 7316, 1705, 713, 678, 858, 1376, 286, 634, 16439, 540, 7574, 543, 11430, 3740, 1509, 525, 2306, 585, 513, 10438, 267, 952, 693, 2053, 11566, 267, 3460, 998, 4571, 268, 736, 628, 10601, 1977, 1402, 2528, 1686, 269, 21960, 333, 29231, 779, 1702, 540, 519, 2575, 540, 713, 942, 1974, 568, 18198, 267, 543, 786, 1118, 3988, 6999, 519, 1433, 3357, 609, 513, 3280, 10177, 1188, 2807, 26170, 267, 713, 30997, 547, 1018, 865, 1082, 540, 2575, 11655, 8263, 789, 917, 827, 4224, 543, 1402, 1686, 568, 513, 2556, 835, 543, 786, 6338, 3988, 547, 5159, 964, 6326, 3152, 3007, 269, 901, 10875, 4663, 632, 3196, 540, 840, 13702, 1686, 786, 8300, 11655, 547, 1451, 811, 827, 519, 5072, 540, 519, 2575, 789, 2648, 563, 1765, 7732, 4750, 267, 10060, 1042, 5623, 454, 1607, 568, 606, 6909, 2620, 4685, 883, 519, 1686, 540, 4224, 11313, 333, 685, 5066, 676, 1259, 540, 15690, 267, 2197, 267, 543, 21462, 269, 3371, 568, 875, 594, 1224, 519, 1433, 281, 594, 1793, 573, 1250, 30069, 593, 267, 3866, 539, 909, 20128, 1518, 267, 543, 6743, 909, 607, 1082, 540, 519, 5159, 610, 8964, 607, 21960, 333, 29231, 5941, 269, 13185, 827, 606, 2069, 2336, 1765, 8535, 570, 2345, 454, 289, 597, 333, 29231, 630, 320, 2575, 19784, 264, 814, 6537, 593, 1010, 679, 9871, 14037, 1702, 538, 713, 1686, 540, 2442, 2575, 538, 1454, 540, 519, 476, 736, 628, 2540, 269, 1261, 21040, 543, 10311, 519, 3795, 538, 3798, 24156, 267, 2983, 32015, 853, 10280, 267, 543, 8230, 570, 27462, 781, 9412, 540, 12698, 281, 634, 17029, 1782, 12942, 3778, 540, 9412, 543, 24305, 267, 7917, 6022, 1067, 781, 9412, 543, 24305, 281, 1323, 1133, 745, 569, 3778, 630, 1960, 276, 1070, 24898, 717, 4068, 1777, 781, 634, 14675, 540, 519, 4975, 630, 3192, 272, 1070, 543, 932, 3089, 2494, 322, 639, 334, 781, 8185, 11609, 15019, 8535, 543, 519, 26789, 630, 1960, 277, 1040, 634, 2278, 5956, 676, 11287, 602, 834, 1492, 13439, 1417, 3280, 540, 4224, 562, 262, 5066, 1223, 581, 4862, 607, 2038, 607, 519, 476, 4572, 271, 338, 538, 513, 1297, 540, 554, 758, 636, 8964, 267, 14440, 1630, 690, 625, 267, 543, 15690, 1532, 663, 12417, 2437, 543, 713, 6368, 7153, 2407, 1532, 31500, 609, 4432, 6665, 3465, 2917, 538, 519, 4571, 268, 4198, 271, 338, 269, 2991, 1079, 2606, 11271, 267, 21960, 333, 29231, 7575, 883, 2143, 5717, 540, 519, 21462, 267, 1630, 690, 773, 2914, 334, 690, 773, 267, 15690, 267, 2197, 2575, 267, 543, 11733, 543, 21462, 267, 543, 20147, 609, 7671, 773, 700, 12578, 267, 28270, 853, 1551, 267, 3627, 22448, 14105, 267, 543, 4793, 4425, 821, 269, 3962, 3184, 3091, 2143, 1344, 593, 519, 22407, 267, 8964, 267, 2594, 3549, 267, 543, 1454, 811, 269, 21960, 333, 29231, 849, 2488, 930, 2930, 1344, 593, 519, 8964, 543, 12417, 269, 901, 3638, 4901, 568, 10483, 676, 2143, 4967, 602, 2721, 593, 519, 5767, 1382, 269, 5681, 2719, 5455, 281, 4400, 569, 5227, 563, 1765, 305, 6185, 269, 28137, 267, 14893, 0, 4537, 22284, 538, 4307, 1108, 267, 610, 519, 12557, 540, 18596, 1272, 2621, 267, 723, 1044, 4330, 607, 513, 968, 325, 5424, 2745, 892, 540, 13796, 543, 8901, 6114, 676, 9265, 547, 2916, 1689, 5222, 269, 4935, 4307, 1108, 2488, 835, 540, 519, 16999, 10832, 540, 519, 13261, 4390, 540, 7103, 547, 11883, 609, 2104, 2825, 2175, 269, 769, 713, 1353, 649, 786, 8495, 875, 519, 12557, 543, 12136, 540, 513, 24194, 540, 3810, 27436, 7286, 2831, 568, 4657, 1813, 547, 513, 3126, 540, 20296, 543, 8733, 10256, 269, 4635, 4540, 1279, 3856, 3140, 1239, 3126, 267, 649, 786, 3313, 519, 4287, 543, 9588, 540, 875, 9194, 267, 11606, 267, 610, 824, 4307, 1670, 13525, 814, 4957, 538, 513, 24194, 540, 7286, 11864, 267, 4262, 16015, 543, 24991, 602, 22109, 883, 519, 13323, 540, 19051, 593, 513, 12119, 4493, 269, 5221, 7286, 2831, 616, 20244, 6939, 545, 543, 20541, 569, 9571, 267, 649, 786, 4019, 3209, 8579, 4485, 267, 12077, 6422, 5003, 3599, 3631, 267, 547, 6218, 12119, 9194, 3270, 543, 7226, 946, 2066, 2789, 9249, 538, 519, 13323, 540, 19051, 3148, 269, 14936, 267, 649, 786, 30075, 6237, 1344, 593, 513, 1883, 10352, 2249, 267, 5070, 28917, 267, 4171, 12557, 543, 11606, 568, 513, 2178, 27667, 540, 519, 12136, 543, 2623, 540, 11975, 6098, 538, 713, 1353, 269, 11778, 786, 2697, 2249, 602, 616, 5266, 811, 610, 1447, 13261, 543, 3976, 7925, 547, 2916, 1689, 267, 3313, 519, 2693, 3119, 10256, 540, 1346, 2242, 267, 607, 1134, 607, 1239, 10616, 543, 2104, 5464, 2115, 269, 11086, 267, 713, 1344, 786, 581, 3730, 547, 1217, 6237, 2359, 543, 9542, 4566, 563, 19061, 7392, 281, 1805, 820, 14516, 268, 15275, 1881, 3194, 5741, 454 ]

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

[ 0, 8702, 547, 11020, 291, 523, 2593, 910, 11020, 1855, 553, 619, 17072, 692, 8080, 547, 11020, 291, 523, 2593, 910, 11020, 1855, 553, 619, 17072, 269, 6145, 1034, 2228, 2950, 596, 1590, 11578, 547, 2022, 538, 938, 2146, 267, 855, 1810, 1405, 5855, 713, 568, 513, 2241, 1863, 1184, 269, 1677, 581, 513, 851, 540, 11020, 291, 523, 1280, 4548, 596, 949, 1711, 513, 1007, 2272, 610, 1129, 538, 952, 596, 2907, 723, 606, 2272, 269, 1306, 513, 4759, 596, 1223, 1376, 1007, 3584, 267, 16253, 547, 1866, 267, 24049, 547, 3584, 270, 1721, 4548, 547, 1205, 13128, 10311, 267, 1205, 707, 1378, 9043, 543, 1118, 1007, 2828, 269, 2986, 1576, 267, 596, 666, 849, 2972, 938, 4015, 540, 5863, 9804, 2192, 16272, 543, 3579, 2979, 3756, 269, 1403, 596, 899, 938, 3135, 267, 596, 949, 1489, 721, 676, 3274, 14467, 5616, 834, 266, 272, 257, 610, 9365, 834, 12024, 257, 16181, 693, 519, 1283, 269, 1403, 596, 723, 513, 3896, 267, 649, 1131, 5660, 513, 2370, 3095, 547, 11020, 291, 523, 269, 8729, 543, 2972, 519, 9324, 32473, 994, 10817, 652, 24606, 676, 8061, 293, 2224, 692, 289, 5735, 692, 10602, 30491, 547, 713, 1888, 692, 258, 10170, 524, 926, 27886, 274, 692, 322, 926, 27886, 274, 692, 6124, 29560, 692, 1892, 16840, 454, 1892, 476, 273, 9708, 692, 16829, 476, 6187, 4989, 476, 1220, 280, 910, 476, 4962, 281, 6246, 6751, 692, 3383, 267, 594, 993, 2469, 547, 1491, 513, 588, 629, 693, 713, 267, 543, 972, 568, 1100, 10018, 602, 713, 568, 1318, 1317, 621, 814, 1044, 513, 1906, 1296, 855, 1934, 621, 4422, 1384, 269, 276, 270, 6246, 24210, 270, 2568, 692, 1729, 4194, 585, 2473, 519, 3830, 1224, 281, 630, 296, 1031, 519, 2608, 607, 513, 8691, 3090, 865, 607, 711, 547, 581, 14845, 2020, 2568, 270, 2568, 2608, 1547, 276, 270, 6246, 815, 1535, 270, 2568, 2608, 476, 2568, 270, 2568, 692, 1789, 270, 28670, 271, 815, 2473, 692, 274, 270, 28670, 815, 2473, 692, 274, 270, 28670, 815, 1547, 4905, 829, 8792, 692, 269, 6860, 2608, 6246, 1295, 815, 1547, 6246, 630, 6518, 568, 3368, 2020, 269, 6246, 2608, 476, 273, 815, 1547, 10436, 547, 581, 2407, 692, 3383, 267, 621, 1131, 1491, 476, 10436, 3764, 689, 1376, 547, 9096, 547, 581, 2407, 692, 3383, 267, 476, 1321, 281, 876, 1341, 476, 10436, 3764, 815, 476, 272, 281, 2918, 692, 3383, 267, 693, 476, 272, 281, 2918, 519, 8670, 1058, 581, 2407, 780, 12179, 4960, 602, 568, 2673, 547, 1318, 2496, 10955, 1243, 676, 524, 926, 27886, 274, 267, 476, 6187, 4989, 476, 1220, 280, 910, 476, 4962, 281, 2004, 6751, 780, 1892, 476, 271, 692, 258, 7761, 524, 926, 27886, 274, 692, 322, 926, 27886, 274, 692, 6124, 29560, 692, 1892, 16840, 454, 1892, 476, 273, 9708, 692, 16829, 476, 6187, 4989, 476, 1220, 280, 910, 476, 6187, 281, 876, 6751, 692, 310, 7159, 1862, 296, 1175, 2219, 827, 621, 543, 7691, 594, 1705, 782, 602, 960, 585, 4986, 700, 5357, 269, 1403, 519, 8670, 729, 3368, 1259, 2407, 693, 476, 1321, 281, 6246, 543, 1169, 8792, 267, 519, 7103, 5595, 267, 1287, 693, 476, 1321, 281, 4510, 519, 8670, 1058, 581, 2407, 1862, 2431, 2496, 12024, 594, 1767, 538, 519, 3105, 2022, 267, 621, 814, 1044, 513, 1247, 543, 519, 3621, 2450, 540, 519, 11248, 11735, 594, 1869, 4769, 1405, 1294, 875, 476, 1556, 281, 6795, 1223, 723, 1044, 519, 1318, 2626, 267, 1256, 1310, 2542, 782, 540, 519, 9708, 563, 1892, 476, 271, 692, 258, 10463, 887, 758, 773, 272, 10937, 692, 549, 758, 773, 272, 10937, 692, 25938, 1640, 16588, 692, 1892, 476, 16328, 275, 9708, 454, 1892, 13834, 281, 300, 1446, 454, 1892, 19715, 281, 20228, 990, 25474, 692, 16829, 476, 6187, 4989, 476, 1220, 280, 910, 476, 6187, 281, 4097, 6751, 692, 310, 7159, 1862, 296, 1175, 2219, 827, 621, 543, 7691, 594, 1705, 782, 602, 960, 585, 4986, 700, 5357, 269, 1403, 519, 8670, 729, 3368, 1259, 2407, 693, 476, 1321, 281, 6246, 543, 1169, 8792, 267, 519, 7103, 5595, 267, 1287, 693, 476, 1321, 281, 4510, 519, 8670, 1058, 581, 2407, 1862, 2431, 2496, 12024, 594, 1767, 538, 519, 3105, 2022, 267, 621, 814, 1044, 513, 1247, 543, 519, 3621, 2450, 540, 519, 11248, 11735, 594, 1869, 4769, 1405, 1294, 875, 476, 1556, 281, 6795, 1223, 723, 1044, 519, 1318, 2626, 267, 1256, 1310, 2542, 782, 540, 519, 9708, 780, 6202, 19481, 692, 24987, 585, 2025, 2262, 532, 568, 476, 1556, 281, 6795, 454, 24987, 585, 1007, 2262, 532, 568, 476, 1321, 281, 4510, 454, 1892, 476, 271, 692, 18893, 673, 7629, 16272, 454, 28874, 11020, 291, 523, 692, 257, 2414, 1376, 281, 4964, 1022, 1883, 1862, 7316, 781, 519, 1412, 1415, 262, 1883, 8119, 910, 25264, 3244, 12121, 692, 258, 10619, 744, 951, 520, 692, 302, 951, 520, 692, 6124, 29560, 692, 1892, 16840, 454, 1892, 476, 272, 9708, 692, 16829, 476, 2537, 5181, 476, 1220, 280, 910, 476, 6349, 281, 3393, 6751, 692, 296, 3494, 519, 1448, 540, 519, 3635, 814, 1044, 14406, 281, 4706, 513, 7954, 11015, 267, 711, 513, 10334, 2243, 269, 634, 2626, 568, 476, 1321, 281, 4510, 630, 514, 835, 811, 8792, 264, 1317, 476, 272, 270, 273, 263, 26920, 540, 4620, 686, 8670, 2407, 264, 1535, 476, 273, 630, 1492, 1297, 540, 2281, 1310, 1142, 7941, 264, 815, 476, 272, 454, 1892, 476, 271, 692, 258, 4037, 13545, 345, 534, 692, 30198, 345, 534, 692, 6124, 29560, 692, 1892, 16840, 454, 1892, 476, 273, 9708, 692, 16829, 476, 4962, 5239, 476, 1220, 280, 910, 476, 6734, 281, 5655, 6751, 692, 1321, 269, 4510, 454, 1892, 476, 271, 692, 6124, 29560, 692, 1892, 16840, 454, 1892, 476, 274, 9708, 692, 16829, 476, 2420, 4989, 476, 1001, 271, 910, 476, 1321, 281, 5379, 7537, 692, 758, 1134, 711, 547, 581, 678, 8775, 855, 2281, 1310, 6498, 616, 2965, 519, 1482, 2450, 1862, 1492, 15954, 543, 22140, 689, 519, 3312, 1591, 616, 23060, 543, 3160, 538, 2450, 269, 1403, 1018, 814, 1044, 5892, 7150, 568, 3020, 1287, 606, 4587, 1268, 781, 2960, 2281, 1131, 581, 3648, 4130, 982, 513, 20169, 781, 2960, 2281, 585, 1383, 1317, 789, 723, 1044, 5258, 513, 5318, 2179, 811, 799, 568, 4636, 1862, 1492, 6676, 1131, 581, 2407, 835, 8792, 2663, 952, 621, 941, 1152, 3368, 2407, 513, 8792, 1354, 269, 11289, 3917, 537, 267, 585, 596, 723, 1175, 1044, 856, 5100, 539, 676, 513, 476, 1724, 1032, 6040, 8004, 563, 1892, 476, 271, 692, 258, 6507, 544, 839, 534, 276, 4281, 692, 332, 839, 534, 276, 4281, 692, 6124, 29560, 692, 1892, 16840, 454, 1892, 476, 275, 9708, 692, 16829, 476, 2190, 4989, 476, 1001, 271, 910, 476, 1015, 281, 1839, 6751, 692, 758, 1134, 711, 547, 581, 678, 8775, 855, 2281, 1310, 6498, 616, 2965, 519, 1482, 2450, 1862, 1492, 15954, 543, 22140, 689, 519, 3312, 1591, 616, 23060, 543, 3160, 538, 2450, 269, 1403, 1018, 814, 1044, 5892, 7150, 568, 3020, 1287, 606, 4587, 1268, 781, 2960, 2281, 1131, 581, 3648, 4130, 982, 513, 20169, 781, 2960, 2281, 585, 1383, 1317, 789, 723, 1044, 5258, 513, 5318, 2179, 811, 799, 568, 4636, 1862, 1492, 6676, 1131, 581, 2407, 835, 8792, 2663, 952, 621, 941, 1152, 3368, 2407, 513, 8792, 1354, 269, 11289, 3917, 537, 267, 585, 596, 723, 1175, 1044, 856, 5100, 539, 676, 513, 476, 1724, 1032, 6040, 8004, 780, 8253, 547, 581, 678, 8775, 834, 335, 553, 560, 515, 322, 809, 625, 2580, 855, 538, 782, 7954, 267, 602, 781, 711, 8209, 3020, 269, 13689, 593, 519, 11248, 267, 5378, 2670, 3217, 513, 1114, 13260, 2557, 563, 1892, 476, 271, 692, 271, 3593, 4433, 264, 616, 2542, 713, 1888, 692, 271, 2818, 267, 476, 271, 14538, 267, 476, 271, 20822, 3755, 0, 258, 1627, 269, 1403, 1535, 30381, 263, 287, 266, 7562, 287, 264, 543, 586, 30381, 263, 272, 2275, 657, 287, 1070, 1265, 10085, 7933, 343, 780, 327, 2292, 959, 1882, 328, 454, 1240, 18745, 454, 1724, 1296, 3516, 692, 328, 1589, 519, 2953, 20735, 568, 476, 272, 21669, 692, 290, 2867, 534, 13495, 599, 600, 715, 599, 752, 541, 454, 24374, 18745, 454, 1724, 1296, 3516, 692, 11276, 270, 6767, 815, 476, 272, 2275, 657, 287, 1341, 7711, 7562, 287, 692, 11459, 270, 6767, 284, 7711, 266, 7562, 287, 1341, 320, 263, 272, 266, 6523, 287, 264, 815, 1035, 657, 287, 1341, 7562, 287, 1341, 273, 320, 692, 11276, 7933, 343, 14352, 11276, 270, 6767, 19422, 11459, 270, 6767, 264, 815, 630, 553, 514, 287, 910, 6523, 287, 1341, 272, 19422, 659, 657, 287, 1341, 5609, 287, 1341, 273, 320, 264, 0, 1012, 769, 513, 5595, 1793, 527, 13779, 4603, 267, 519, 3845, 1063, 519, 1793, 1080, 568, 476, 271, 269, 1822, 276, 332, 543, 519, 5496, 568, 476, 273, 7397, 689, 519, 1793, 1080, 269, 14117, 1769, 692, 9223, 692, 1103, 513, 5595, 1793, 527, 13779, 4603, 267, 519, 3845, 1063, 519, 1793, 1080, 568, 476, 271, 269, 1822, 276, 332, 543, 519, 5496, 568, 476, 273, 7397, 689, 519, 1793, 1080, 269, 14117, 1769, 689, 513, 9770, 17689, 568, 1031, 543, 621, 814, 513, 15423, 540, 476, 276, 269, 8660, 1535, 476, 1015, 268, 278, 544, 269, 1548, 568, 519, 3845, 1063, 519, 1101, 543, 2034, 6505, 535, 2590, 525, 593, 519, 5496, 2496, 514, 3356, 476, 271, 454, 277, 3275, 476, 1708, 272, 268, 5881, 268, 736, 307, 6734, 281, 6187, 281, 876, 266, 876, 281, 876, 476, 272, 12226, 476, 1724, 5784, 476, 271, 692, 275, 269, 278, 1321, 6515, 610, 476, 271, 269, 21916, 278, 1321, 544, 692, 15008, 1384, 13640, 600, 4394, 2016, 1384, 291, 2700, 1063, 519, 1793, 1080, 267, 546, 815, 476, 271, 269, 1822, 276, 544, 692, 291, 2700, 1063, 519, 5496, 543, 519, 1793, 1080, 267, 681, 815, 476, 273, 544, 692, 310, 320, 767, 2654, 540, 519, 1769, 267, 18494, 25883, 763, 2783, 585, 519, 3193, 9874, 538, 513, 5595, 1793, 527, 4603, 568, 2016, 607, 1384, 332, 16575, 25883, 3602, 962, 815, 3845, 1063, 519, 1101, 1931, 3193, 9874, 543, 519, 544, 628, 1931, 3193, 9874, 692, 1103, 713, 2013, 267, 544, 815, 476, 273, 780, 11997, 1384, 312, 815, 544, 16575, 305, 7933, 692, 312, 25883, 312, 815, 476, 271, 269, 21916, 278, 1321, 544, 815, 476, 275, 269, 278, 1321, 6515, 692, 763, 3845, 1063, 519, 1101, 543, 2034, 6505, 535, 2590, 525, 568, 476, 275, 269, 278, 1321, 6515, 269, 0, 258, 17086, 19634, 940, 513, 25351, 9771, 2398, 1143, 692, 272, 269, 3967, 476, 274, 267, 476, 1001, 274, 692, 2162, 5409, 9536, 8775, 692, 272, 269, 634, 1966, 3948, 267, 782, 4632, 543, 2016, 270, 4385, 1239, 454, 296, 6415, 11842, 713, 585, 1022, 1843, 609, 4090, 540, 24880, 594, 267, 855, 594, 3513, 2307, 713, 2243, 585, 513, 13551, 585, 16134, 543, 594, 6415, 2386, 594, 666, 8831, 621, 547, 2489, 3615, 780, 306, 599, 649, 723, 513, 14328, 1843, 630, 5976, 2527, 544, 267, 4463, 554, 267, 543, 8700, 700, 264, 602, 568, 7923, 547, 513, 3774, 676, 930, 4990, 540, 1448, 1489, 4010, 693, 922, 7944, 269, 1403, 649, 3180, 621, 23276, 1287, 1577, 621, 979, 543, 18711, 267, 1018, 568, 519, 3196, 602, 519, 1489, 11851, 338, 593, 519, 14610, 689, 1318, 1310, 649, 1577, 979, 607, 621, 23638, 286, 3371, 781, 513, 4605, 1384, 273, 269, 31999, 4834, 454, 300, 30291, 540, 24880, 540, 713, 13551, 281, 4399, 2765, 31551, 22607, 317, 273, 1341, 530, 317, 273, 20972, 1321, 348, 1341, 544, 9230, 327, 270, 273, 8203, 273, 23444, 342, 270, 273, 8203, 273, 264, 815, 1422, 2765, 31551, 22607, 317, 273, 266, 342, 317, 273, 20972, 274, 10592, 274, 269, 634, 3801, 693, 513, 3070, 454, 296, 729, 3206, 827, 23622, 519, 2527, 883, 513, 1448, 2527, 693, 519, 4087, 540, 519, 13551, 781, 4099, 540, 2527, 269, 901, 1131, 581, 899, 513, 2241, 28764, 609, 4358, 2990, 693, 5086, 1269, 15184, 259, 2630, 519, 8880, 267, 1141, 1269, 15184, 7807, 11927, 13064, 272, 12917, 327, 11320, 30879, 1703, 1131, 581, 513, 3196, 540, 8406, 18746, 267, 799, 814, 513, 5057, 540, 8406, 265, 7562, 263, 15184, 264, 538, 519, 4287, 540, 2220, 15781, 543, 513, 5057, 540, 8406, 265, 6523, 263, 15184, 264, 17444, 593, 519, 834, 11415, 257, 540, 519, 28764 ]

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

[ 24052, 2166, 12304, 267, 3109, 786, 578, 267, 543, 3043, 524, 25729, 269, 1452, 4054, 723, 1978, 4162, 602, 1118, 873, 1134, 25252, 1243, 585, 6632, 2127, 563, 2690, 1383, 267, 519, 24052, 2166, 12304, 814, 19704, 602, 31732, 8775, 689, 519, 2666, 543, 948, 1489, 519, 3529, 538, 15459, 11934, 269, 634, 3109, 786, 578, 814, 513, 2620, 3597, 1062, 602, 2636, 621, 547, 1569, 1216, 1256, 1282, 10980, 269, 634, 3043, 524, 25729, 568, 849, 27031, 540, 14700, 267, 543, 922, 5072, 666, 19671, 621, 538, 1747, 1282, 1164, 12798, 563, 1432, 717, 4900, 4270, 538, 4790, 14688, 22911, 14606, 888, 15703, 2371, 798, 1134, 538, 7683, 6632, 3037, 267, 607, 789, 616, 27031, 547, 14700, 543, 723, 7960, 547, 7639, 538, 891, 2175, 269, 2368, 1806, 1331, 519, 1216, 561, 1176, 267, 3032, 18571, 267, 6822, 613, 267, 678, 16640, 267, 543, 1082, 21263, 525, 269, 1452, 2371, 723, 9862, 547, 10110, 1216, 3533, 543, 7561, 998, 741, 5072, 267, 3762, 267, 610, 11710, 563, 5445, 616, 849, 1336, 538, 2127, 1141, 519, 15780, 568, 2673, 547, 519, 2627, 563, 1432, 17451, 13582, 10326, 717, 4900, 4270, 538, 22911, 14606, 888, 7617, 28033, 3529, 9428, 1134, 538, 6632, 3037, 286, 901, 568, 513, 1455, 2243, 4280, 676, 1082, 22254, 269, 2755, 1896, 4054, 666, 20496, 6632, 2175, 267, 711, 782, 616, 3020, 2479, 26572, 839, 563, 763, 1739, 568, 513, 1592, 540, 930, 2442, 5079, 585, 606, 28033, 3529, 602, 786, 798, 1134, 538, 6632, 3037, 912, 268, 2274, 344, 1633, 595, 2988, 816, 1107, 634, 2274, 344, 1633, 2166, 12304, 568, 513, 3728, 21212, 267, 13470, 10537, 11057, 3529, 602, 666, 3914, 909, 547, 476, 2568, 3952, 7381, 269, 898, 814, 4158, 3039, 16714, 543, 27422, 2407, 3141, 547, 9864, 12094, 269, 901, 3529, 568, 27031, 540, 513, 2647, 2039, 540, 11934, 267, 1519, 1346, 602, 616, 6632, 610, 536, 690, 4445, 563, 268, 1977, 4591, 569, 1107, 634, 1977, 2868, 569, 568, 513, 3376, 29566, 28033, 602, 3335, 1152, 10301, 476, 1428, 268, 736, 3952, 7381, 269, 898, 814, 17953, 344, 3039, 3762, 543, 27422, 15755, 11934, 267, 1818, 621, 4998, 585, 3395, 538, 2127, 609, 6632, 2175, 269, 901, 3529, 849, 1281, 1134, 538, 695, 8014, 2127, 563, 268, 1488, 4011, 10903, 2801, 1107, 1488, 4011, 10903, 2801, 568, 1776, 3376, 29566, 28033, 602, 666, 581, 1336, 538, 1585, 7306, 267, 689, 1507, 19211, 547, 1804, 4054, 269, 898, 814, 4336, 6438, 3762, 8151, 689, 2620, 3039, 547, 5835, 880, 25984, 267, 4470, 593, 519, 3099, 563, 12024, 519, 1977, 2868, 569, 267, 519, 818, 4011, 10903, 2801, 27422, 15755, 11934, 543, 1281, 1134, 538, 695, 8014, 2127, 610, 6753, 609, 5848, 2175, 563, 277, 19029, 585, 22911, 19791, 543, 667, 2086, 14606, 9537, 454, 22102, 19029, 2334, 6145, 22911, 14606, 454, 3080, 540, 519, 1390, 1919, 827, 2713, 538, 513, 6632, 2916, 568, 602, 972, 616, 7899, 540, 3681, 950, 621, 2501, 547, 4466, 1507, 4054, 602, 899, 6632, 3037, 269, 3371, 616, 513, 1906, 540, 938, 29202, 912, 268, 5545, 32712, 1107, 901, 3529, 568, 3501, 585, 1507, 10651, 610, 18126, 2094, 621, 1152, 9428, 547, 827, 476, 1015, 3952, 7381, 269, 898, 814, 4190, 267, 7184, 10981, 539, 3762, 602, 2490, 513, 10875, 2699, 538, 519, 2887, 269, 5545, 12103, 1255, 798, 1655, 538, 9864, 12094, 543, 5848, 267, 1134, 1673, 11712, 11934, 563, 268, 13928, 6229, 1107, 13928, 6229, 338, 616, 1634, 585, 741, 1397, 344, 5810, 602, 16036, 538, 5614, 267, 855, 789, 849, 723, 10694, 16714, 543, 13626, 269, 1358, 4782, 5848, 267, 15755, 11934, 543, 666, 20496, 930, 12094, 269, 2368, 2915, 6229, 2249, 1332, 3833, 1804, 630, 1575, 547, 476, 1789, 3952, 1070, 865, 581, 2386, 547, 3442, 513, 3099, 602, 13978, 593, 519, 4130, 2427, 952, 596, 2461, 3908, 593, 2230, 563, 268, 4414, 321, 644, 1107, 6271, 3529, 602, 12662, 593, 513, 9735, 5614, 4159, 568, 519, 2699, 321, 644, 269, 1452, 4054, 723, 17681, 11909, 610, 13711, 5810, 602, 3382, 519, 11953, 8371, 1354, 519, 3762, 10836, 269, 4414, 321, 644, 338, 798, 1655, 538, 5848, 267, 1134, 1673, 11712, 11934, 543, 2407, 3141, 547, 9864, 12094, 6753, 563, 268, 595, 4599, 20625, 1107, 595, 4599, 1952, 956, 616, 2442, 30120, 4054, 1813, 547, 741, 7168, 32395, 543, 5613, 630, 6518, 5017, 2648, 1040, 1358, 2097, 538, 1082, 1114, 7306, 543, 5546, 267, 865, 596, 2461, 2386, 547, 1265, 835, 602, 13352, 707, 2115, 9985, 563, 23044, 1359, 19029, 2334, 6145, 22911, 14606, 454, 6701, 596, 3168, 585, 513, 15496, 3529, 602, 786, 8853, 538, 6632, 3037, 286, 1403, 865, 267, 596, 2461, 538, 9939, 256, 1703, 616, 1896, 4190, 3681, 547, 3442, 689, 563, 3080, 540, 938, 29202, 568, 519, 2915, 6229, 3529, 269, 13928, 6229, 338, 616, 1634, 585, 741, 4190, 5810, 543, 8853, 538, 5848, 2175, 269, 1358, 2461, 849, 5266, 1507, 4054, 267, 799, 2306, 873, 513, 1390, 3903, 585, 4130, 18126, 610, 10651, 563, 5194, 4781, 568, 519, 649, 9429, 786, 578, 269, 1284, 9429, 786, 3298, 616, 5929, 4054, 609, 1279, 267, 5323, 14563, 8371, 269, 1358, 2461, 1360, 27031, 540, 6632, 11934, 543, 1118, 513, 10875, 1840, 547, 1022, 5251, 563, 13706, 519, 32482, 760, 3529, 952, 596, 2461, 3168, 585, 513, 15496, 3529, 609, 930, 3063, 4463, 269, 570, 592, 760, 4054, 666, 1332, 3833, 7381, 267, 543, 741, 5810, 616, 32154, 269, 2755, 789, 4782, 5671, 518, 2175, 267, 789, 666, 20496, 17573, 6632, 1145, 1510, 1022, 2042, 563, 7661, 267, 649, 4363, 519, 3172, 16288, 3529, 952, 596, 1616, 606, 17715, 543, 1533, 569, 4527, 538, 707, 13452, 610, 4677, 269, 13804, 565, 5362, 616, 1804, 4054, 609, 4190, 32395, 602, 9329, 5863, 256, 1358, 3580, 798, 1655, 538, 5594, 5671, 518, 11934, 855, 666, 6023, 17573, 7509, 1510, 3390, 563, 303, 710, 19029, 2334, 6145, 22911, 14606, 454, 303, 710, 4054, 616, 1419, 2219, 540, 607, 10980, 2389, 26985, 543, 2111, 547, 7639, 538, 3819, 267, 22501, 11934, 269, 1717, 267, 972, 616, 2965, 1896, 2249, 540, 12566, 4054, 602, 4782, 6632, 614, 11934, 269, 1452, 968, 342, 564, 3037, 533, 1149, 892, 1331, 519, 10981, 331, 14709, 12566, 630, 303, 19434, 28580, 20364, 1070, 1793, 1662, 12566, 630, 303, 19434, 14248, 328, 2714, 4512, 1070, 1279, 29566, 12566, 630, 303, 19434, 5493, 755, 5142, 1070, 543, 24052, 2166, 12304, 630, 307, 1314, 18754, 1253, 747, 636, 1916, 10376, 540, 891, 6632, 3037, 533, 1149, 814, 2189, 4162, 602, 5512, 621, 547, 8853, 538, 5848, 2175, 269, 1280, 1383, 267, 519, 10981, 331, 14709, 12566, 814, 513, 2620, 3597, 1062, 602, 2636, 621, 547, 1569, 1216, 1256, 1282, 5712, 540, 10980, 269, 634, 1793, 1662, 12566, 814, 13549, 6438, 3762, 602, 8774, 4430, 1216, 3533, 267, 1247, 519, 1279, 29566, 12566, 814, 10253, 593, 922, 19271, 602, 948, 2149, 621, 689, 16507, 3676, 563, 4407, 1034, 533, 1149, 4782, 1134, 1673, 11712, 11934, 267, 891, 6632, 27940, 559, 533, 1149, 666, 581, 513, 1390, 4781, 585, 2127, 12155, 547, 14700, 610, 8391, 1164, 5666, 540, 11811, 269, 6333, 835, 540, 891, 2185, 8677, 952, 596, 2461, 3168, 585, 513, 4190, 28033, 3529, 602, 666, 20496, 6632, 2175, 563, 301, 583, 19029, 2334, 6145, 22911, 14606, 454, 2467, 616, 513, 3099, 540, 2428, 4054, 602, 899, 6632, 3037, 267, 1519, 9221, 22756, 267, 6328, 601, 22756, 267, 543, 30646, 269, 3962, 1826, 540, 3529, 814, 1114, 4170, 585, 3395, 538, 6632, 3037, 267, 865, 621, 568, 1271, 547, 917, 1018, 596, 616, 3168, 585, 1354, 7446, 513, 3529, 269, 30446, 18133, 4054, 2154, 2620, 267, 5848, 11934, 609, 1434, 12775, 547, 8853, 563, 5445, 849, 20496, 10036, 11934, 607, 1279, 607, 789, 616, 711, 1216, 8421, 3022, 269, 18171, 601, 18133, 4054, 4782, 1769, 547, 5420, 11934, 602, 616, 1134, 1673, 11712, 855, 666, 20496, 17573, 14700, 269, 1325, 12107, 4054, 991, 22501, 3138, 600, 11934, 609, 1434, 12775, 543, 20808, 7509, 1134, 563, 2691, 7446, 513, 2428, 3529, 585, 6632, 3037, 267, 621, 568, 1271, 547, 2015, 519, 2450, 540, 519, 3529, 543, 922, 3597, 1062, 269, 2368, 2428, 4054, 666, 1332, 3833, 1804, 267, 543, 741, 5072, 666, 3262, 856, 2647, 267, 1818, 873, 2352, 547, 13003, 2663, 269, 898, 568, 2141, 1655, 547, 5077, 609, 513, 2199, 21543, 610, 5251, 3318, 1354, 14045, 547, 2030, 2428, 4054, 538, 6632, 3037, 2175, 563, 293, 8816, 19029, 2334, 6145, 22911, 14606, 454, 2252, 596, 2661, 538, 606, 1858, 609, 6632, 3037, 267, 596, 949, 1589, 596, 666, 1406, 1332, 4829, 4054, 269, 1717, 267, 972, 616, 2965, 1896, 8677, 540, 4829, 4054, 602, 798, 1134, 538, 6632, 3037, 269, 3371, 616, 513, 1906, 540, 519, 1655, 3681, 912, 268, 7442, 878, 582, 19029, 1107, 1452, 4054, 4782, 2620, 267, 1134, 1673, 11712, 11934, 855, 666, 20496, 17573, 14700, 269, 1358, 616, 849, 27031, 540, 1164, 11195, 2157, 563, 268, 22216, 787, 19029, 1107, 5637, 6653, 543, 11877, 22269, 4054, 798, 1134, 538, 6632, 11934, 269, 1358, 616, 2705, 267, 811, 11630, 547, 3597, 4232, 267, 865, 1118, 2386, 519, 12775, 568, 1434, 563, 268, 8431, 19029, 1107, 8431, 4054, 899, 5848, 2175, 543, 786, 1256, 20496, 5618, 5712, 540, 14700, 269, 1358, 616, 6213, 547, 4411, 5210, 267, 865, 789, 616, 12630, 538, 513, 6870, 4087, 563, 268, 3212, 778, 19029, 1107, 3212, 778, 4054, 849, 4782, 2620, 267, 1134, 1673, 11712, 11934, 855, 666, 11883, 609, 17573, 14700, 1732, 982, 1034, 824, 4829, 4054, 563, 268, 1773, 636, 19029, 1107, 1773, 636, 4054, 899, 5848, 2175, 543, 20496, 5618, 14700, 5712, 1732, 982, 1034, 824, 4829, 4054, 563, 30943, 19029, 585, 22911, 19791, 454, 19185, 547, 1039, 930, 4054, 547, 707, 3959, 855, 14126, 827, 6632, 2127, 286, 3143, 991, 547, 31361, 256, 1703, 616, 7899, 540, 5065, 4054, 602, 798, 1134, 538, 6632, 2127, 563, 2080, 616, 513, 1906, 540, 938, 29202, 912, 268, 4210, 2086, 6519, 18718, 630, 5226, 2075, 639, 22833, 565, 528, 264, 1107, 589, 1804, 267, 1533, 569, 3529, 602, 666, 1332, 909, 547, 476, 3199, 3952, 7381, 267, 519, 32761, 3043, 18073, 568, 3501, 585, 4946, 12094, 543, 5898, 547, 1022, 5251, 269, 898, 7109, 919, 6360, 21622, 543, 32761, 344, 4609, 267, 543, 922, 2620, 5072, 1118, 621, 11259, 547, 10980, 543, 11761, 563, 268, 4414, 32712, 630, 288, 1356, 6299, 5300, 264, 1107, 6271, 1390, 4781, 585, 695, 8014, 9634, 267, 519, 2699, 25308, 666, 3914, 15627, 540, 476, 1911, 3952, 610, 811, 269, 898, 27422, 5848, 11934, 855, 666, 20496, 17573, 14700, 267, 1818, 621, 513, 1434, 3903, 585, 1970, 268, 2391, 2127, 269, 3958, 267, 922, 6505, 2699, 3762, 1118, 621, 513, 10875, 1840, 547, 1022, 2887, 5251, 563, 268, 5211, 21960, 577, 630, 289, 564, 3121, 562, 580, 571, 264, 1107, 1403, 596, 2461, 3168, 585, 513, 4130, 3529, 602, 1869, 24502, 513, 24362, 267, 2119, 519, 5757, 2840, 577, 269, 19663, 476, 1789, 268, 2004, 3952, 7381, 267, 713, 28301, 3529, 568, 27031, 540, 6632, 11934, 543, 17573, 14700, 269, 4706, 4190, 890, 9934, 13626, 8591, 1719, 543, 9403, 547, 519, 5251, 782, 1032, 563, 268, 4563, 717, 636, 630, 301, 903, 21542, 861, 331, 341, 1738, 320, 264, 1107, 634, 3109, 10733, 568, 513, 1507, 547, 5420, 13355, 3529, 602, 9428, 476, 2412, 268, 2568, 3952, 7381, 269, 898, 1281, 1655, 538, 5848, 610, 32761, 344, 11934, 855, 666, 20496, 13350, 14700, 269, 4706, 10058, 24814, 3762, 2490, 6505, 18707, 540, 5835, 267, 10538, 267, 543, 2699, 538, 519, 2887, 267, 1818, 621, 513, 1483, 1796, 719, 538, 519, 5251, 563, 4537, 16421, 2334, 6145, 22911, 14606, 454, 22428, 596, 2461, 3168, 585, 19211, 602, 899, 6632, 3037, 282, 972, 616, 513, 1906, 3681, 547, 3442, 689, 269, 3371, 616, 513, 1906, 540, 938, 29202, 281, 476, 272, 269, 5545, 623, 1512, 529, 630, 303, 1512, 529, 795, 777, 517, 3821, 264, 1107, 901, 28033, 21906, 568, 3501, 585, 6632, 267, 536, 690, 4445, 2127, 563, 2005, 779, 27031, 540, 1312, 3141, 543, 12094, 543, 7472, 10347, 3043, 5810, 538, 519, 5614, 269, 476, 273, 269, 4210, 2086, 10897, 1446, 320, 630, 305, 327, 617, 30705, 1258, 24620, 636, 264, 1107, 6271, 5140, 3903, 585, 6632, 2127, 267, 713, 20842, 1446, 320, 14560, 15755, 267, 536, 690, 4445, 11934, 269, 898, 7472, 4190, 3043, 610, 11909 ]

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

[ 2203, 8098, 1080, 2942, 7403, 950, 540, 2942, 2418, 568, 1360, 1507, 543, 30050, 269, 769, 938, 4259, 621, 568, 10257, 547, 2154, 602, 519, 11664, 540, 8390, 568, 4130, 982, 476, 272, 270, 274, 267, 1317, 519, 5506, 9266, 22185, 10834, 2436, 547, 4894, 7508, 2418, 689, 1535, 269, 1403, 14255, 269, 3944, 284, 293, 3201, 10345, 630, 1492, 9949, 264, 543, 1535, 3568, 7508, 2418, 267, 1287, 513, 7508, 1871, 630, 2793, 264, 568, 8120, 269, 1403, 14255, 269, 3944, 284, 15045, 16604, 267, 7508, 2418, 616, 6569, 689, 1535, 1991, 547, 7384, 519, 11664, 540, 8390, 692, 15916, 256, 1280, 1250, 2079, 630, 11687, 3146, 11687, 10727, 264, 594, 991, 547, 2268, 519, 3213, 324, 2310, 540, 8390, 269, 3733, 1966, 568, 602, 1250, 1239, 1305, 2270, 1312, 2942, 543, 2318, 2418, 543, 585, 930, 4632, 594, 1205, 2942, 1611, 269, 1924, 267, 519, 22008, 3085, 1405, 1118, 2631, 267, 855, 594, 991, 547, 2268, 621, 269, 594, 1223, 1039, 513, 3586, 547, 782, 2418, 538, 1250, 1239, 267, 865, 602, 519, 22008, 1223, 1118, 2631, 267, 855, 22008, 568, 6213, 512, 9502, 281, 634, 11664, 540, 8390, 267, 610, 22008, 267, 568, 513, 8579, 6482, 602, 2982, 875, 513, 1305, 540, 1239, 2798, 568, 7856, 1472, 519, 1611, 540, 519, 1305, 269, 769, 824, 1913, 267, 513, 1305, 540, 1239, 568, 1178, 335, 1117, 543, 519, 22008, 3830, 568, 1031, 547, 2268, 519, 8390, 538, 2798, 689, 1142, 824, 543, 519, 1611, 3213, 324, 2310, 540, 8390, 269, 6271, 1259, 547, 4766, 519, 8390, 540, 513, 1449, 568, 5173, 519, 11664, 540, 8390, 267, 610, 22008, 269, 634, 22008, 20475, 519, 8390, 607, 513, 6871, 540, 519, 1611, 267, 543, 568, 7229, 607, 5205, 281, 22008, 260, 815, 630, 16256, 270, 311, 8663, 264, 1911, 269, 769, 519, 8047, 267, 519, 22008, 568, 9053, 950, 519, 12676, 4679, 538, 8167, 547, 5834, 634, 11664, 540, 8390, 568, 513, 1259, 547, 2268, 875, 3262, 856, 2418, 616, 538, 513, 10471, 3448, 547, 519, 1611, 20193, 568, 7229, 607, 281, 3213, 324, 2310, 540, 8390, 815, 21566, 1315, 13179, 269, 1141, 281, 21566, 815, 3044, 11539, 540, 10471, 269, 13179, 815, 1611, 540, 10471, 269, 901, 5850, 6941, 875, 547, 5173, 519, 11664, 540, 8390, 585, 513, 10471, 538, 590, 4916, 692, 290, 4141, 2310, 540, 7352, 566, 18185, 269, 901, 1907, 786, 5173, 519, 11664, 540, 8390, 540, 513, 1305, 540, 1239, 269, 634, 11664, 540, 8390, 568, 513, 2268, 540, 3262, 602, 11148, 547, 581, 1031, 950, 621, 568, 2556, 547, 5635, 519, 3262, 540, 2338, 538, 1079, 14449, 602, 723, 1360, 1114, 1797, 907, 1677, 1685, 519, 9819, 267, 3274, 4283, 707, 1239, 883, 519, 1257, 7901, 2630, 267, 2901, 835, 6060, 829, 1899, 610, 607, 513, 269, 634, 11664, 540, 8390, 630, 20302, 1070, 849, 1634, 607, 519, 3448, 3044, 11539, 630, 11965, 291, 264, 568, 4122, 1031, 538, 5506, 269, 9373, 519, 2418, 9674, 676, 513, 26893, 538, 713, 11664, 540, 8390, 9498, 547, 917, 519, 3448, 3044, 11539, 634, 11664, 540, 8390, 949, 711, 723, 1022, 2495, 585, 1239, 593, 606, 8884, 4336, 269, 1280, 1383, 267, 1034, 2837, 10253, 630, 324, 3052, 1421, 17622, 267, 18278, 3092, 4700, 616, 8884, 10253, 602, 666, 1491, 1312, 2318, 543, 2942, 2418, 267, 6466, 519, 22398, 9109, 2837, 666, 2760, 581, 1447, 982, 4642, 267, 799, 568, 519, 2347, 9000, 540, 8143, 1648, 634, 1449, 18802, 568, 2942, 1079, 2053, 519, 3017, 540, 519, 2845, 2000, 1731, 9685, 689, 519, 1093, 24480, 2203, 543, 519, 2942, 23481, 2203, 267, 910, 273, 15631, 15150, 278, 269, 280, 3583, 280, 910, 8987, 279, 3199, 269, 9262, 274, 1321, 13580, 815, 476, 15836, 275, 269, 4198, 277, 609, 606, 2404, 533, 17032, 540, 2999, 271, 269, 1822, 272, 692, 2162, 1403, 1250, 11664, 540, 8390, 568, 476, 5325, 9077, 568, 621, 3617, 692, 5591, 2339, 875, 649, 1118, 7403, 267, 972, 786, 581, 8390, 630, 320, 3262, 540, 1239, 1040, 6875, 476, 1911, 1004, 543, 2307, 873, 547, 7058, 707, 2085, 543, 596, 786, 1205, 513, 2039, 540, 2164, 281, 930, 786, 581, 1932, 1970, 630, 1410, 3250, 550, 256, 1070, 930, 1932, 1164, 630, 2254, 865, 1434, 32656, 898, 568, 519, 1482, 609, 1022, 540, 938, 8047, 6901, 910, 952, 649, 10398, 8291, 5277, 476, 1911, 2053, 649, 4465, 1405, 7006, 1619, 4010, 519, 1482, 2179, 540, 5714, 1142, 942, 9208, 11539, 568, 513, 2268, 540, 875, 1454, 8390, 972, 568, 1369, 513, 1239, 1305, 20136, 568, 1271, 1317, 538, 1082, 3871, 267, 1004, 1810, 1405, 1616, 547, 1294, 513, 2603, 540, 8390, 910, 1004, 4782, 5812, 1299, 7123, 2773, 1317, 621, 781, 4443, 547, 1544, 1472, 1299, 1447, 19408, 269, 2690, 1383, 267, 1577, 781, 2161, 596, 616, 14045, 1063, 1079, 3549, 547, 1902, 538, 602, 1312, 723, 519, 1482, 1297, 540, 3328, 269, 4256, 3490, 568, 711, 519, 1482, 269, 634, 7436, 538, 6128, 616, 856, 540, 476, 1839, 543, 519, 7436, 540, 2296, 616, 856, 540, 476, 1911, 269, 4935, 267, 621, 2306, 1100, 2631, 547, 5635, 476, 1015, 609, 476, 736, 269, 1879, 649, 6460, 891, 1079, 2418, 883, 14170, 540, 2039, 267, 649, 1294, 602, 519, 11664, 540, 2039, 585, 1305, 589, 568, 3152, 982, 602, 540, 1305, 645, 269, 4935, 972, 568, 3152, 24980, 610, 8390, 538, 1305, 589, 692, 2162, 1772, 621, 2009, 585, 519, 3213, 324, 2310, 540, 7352, 566, 547, 581, 692, 2005, 568, 849, 1767, 547, 581, 9797, 7729, 14954, 2094, 922, 11664, 540, 7729, 342, 1145, 568, 2318, 269, 634, 5860, 7455, 538, 7612, 476, 273, 814, 513, 3476, 2766, 547, 519, 2451, 982, 547, 519, 1318, 269, 634, 1383, 538, 7612, 476, 273, 568, 513, 3892, 602, 568, 7729, 14954, 547, 519, 2451, 269, 898, 568, 849, 1767, 547, 581, 11874, 7729, 14954, 2094, 519, 7729, 342, 1145, 11664, 568, 2942, 21942, 781, 3213, 324, 2310, 540, 28024, 342, 1145, 18185, 281, 18461, 1863, 547, 2119, 713, 2241, 2228, 7729, 342, 1145, 9498, 547, 1265, 519, 11664, 543, 824, 10305, 540, 2268, 540, 3844, 12402, 269, 3807, 4283, 519, 1305, 540, 2418, 607, 26893, 9674, 1239, 543, 4945, 593, 5173, 547, 1205, 519, 1267, 540, 21942, 781, 11664, 540, 7729, 342, 1145, 692, 29012, 267, 519, 678, 476, 273, 1871, 6645, 721, 602, 1152, 476, 271, 269, 274, 260, 540, 519, 8390, 538, 519, 3446, 1448, 25939, 540, 519, 1053, 538, 519, 3732, 666, 581, 6045, 676, 741, 4463, 269, 769, 2110, 267, 649, 1131, 991, 547, 2697, 1776, 811, 1271, 4756, 267, 971, 607, 1297, 540, 3108, 6594, 267, 952, 17782, 513, 2875, 781, 3446, 1448, 3328, 568, 1271, 547, 721, 634, 11664, 540, 8390, 1058, 581, 17223, 1152, 585, 1239, 6027, 593, 513, 5223, 4336, 267, 607, 891, 616, 519, 7403, 602, 666, 1152, 1491, 1875, 24308, 2418, 269, 1879, 3339, 2358, 676, 519, 1611, 1871, 540, 519, 7403, 267, 519, 2165, 1412, 11664, 540, 8390, 540, 519, 681, 5960, 291, 267, 22008, 630, 681, 5960, 291, 3738, 1412, 16673, 581, 1031, 547, 2057, 13509, 3213, 324, 2310, 540, 8990, 267, 849, 1634, 607, 681, 8293, 1563, 11887, 519, 6708, 540, 519, 13065, 540, 519, 8200, 4756, 799, 666, 581, 6045, 676, 519, 4830, 4756, 269, 1635, 3168, 693, 681, 317, 273, 1871, 835, 666, 9794, 2436, 519, 9695, 3830, 568, 1434, 2614, 547, 581, 1031, 20134, 18323, 3213, 324, 2310, 540, 18650, 269, 715, 12839, 14687, 547, 519, 6175, 538, 519, 1570, 781, 4187, 950, 519, 2837, 2418, 616, 2799, 269, 4107, 569, 267, 4702, 2326, 8858, 513, 2942, 2837, 11664, 540, 4187, 799, 1797, 8766, 11664, 2418, 14168, 2614, 269, 634, 11664, 540, 8390, 22008, 267, 568, 3274, 519, 3044, 11539, 630, 527, 1345, 513, 2268, 540, 13065, 610, 8390, 264, 3448, 547, 519, 1611, 540, 513, 3892, 780, 2162, 3213, 324, 2310, 540, 7352, 566, 16754, 6726, 566, 609, 9185, 692, 2252, 596, 1611, 519, 1379, 540, 513, 8579, 1449, 630, 272, 910, 29530, 1981, 1070, 1287, 519, 1379, 568, 711, 513, 1463, 1599, 540, 519, 3213, 324, 2310, 540, 7352, 566, 269, 898, 568, 513, 1599, 540, 519, 3044, 11539, 267, 519, 3017, 596, 1616, 547, 3713, 630, 320, 6093, 1871, 1522, 581, 476, 272, 31901, 11539, 1070, 519, 13672, 1981, 596, 786, 3398, 630, 320, 6093, 1871, 568, 476, 276, 15992, 543, 519, 3732, 2450, 3213, 324, 2310, 540, 7352, 566, 18185, 269, 9373, 7422, 538, 4216, 267, 946, 513, 5094, 1899, 610, 26893, 1063, 1142, 6482, 269, 519, 18278, 543, 17622, 10253, 11863, 1312, 2318, 543, 2942, 2418, 267, 799, 666, 23380, 519, 2268, 630, 604, 519, 13220, 3444, 519, 4336, 1040, 901, 568, 849, 3006, 5219, 547, 607, 513, 11664, 540, 13065, 9498, 27010, 2418, 585, 12499, 268, 543, 954, 817, 599, 14170, 540, 8390, 616, 3622, 476, 276, 260, 543, 476, 1015, 260, 6606, 269, 1280, 29508, 5342, 936, 1279, 1974, 267, 14170, 540, 476, 278, 260, 543, 476, 1428, 260, 616, 811, 6093, 269, 1403, 519, 12499, 12431, 599, 11664, 540, 8390, 20489, 476, 1015, 260, 610, 519, 954, 817, 599, 11664, 540, 8390, 20489, 476, 736, 9077, 1287, 621, 568, 942, 547, 2697, 519, 2707, 540, 519, 8390, 769, 5506, 3069, 543, 7194, 267, 519, 11664, 540, 8390, 630, 20302, 264, 568, 513, 28348, 2268, 540, 24980, 540, 513, 5506, 3892, 269, 898, 568, 849, 1634, 607, 1770, 1242, 1981, 610, 519, 8390, 11664, 269, 634, 6207, 1871, 540, 519, 22008, 568, 28069, 634, 715, 12839, 5687, 626, 528, 568, 4922, 1031, 538, 1082, 3156, 585, 513, 3099, 540, 5301, 1141, 513, 2942, 2837, 11664, 568, 2838, 269, 9861, 606, 715, 12839, 5687, 626, 528, 519, 4187, 8813, 607, 519, 2837, 4679, 267, 1818, 621, 3226, 3730, 538, 513, 1297, 540, 1114, 2127, 692, 2162, 14174, 304, 281, 1548, 568, 519, 11664, 540, 8390, 692, 1892, 634, 11664, 540, 8390, 568, 14661, 865, 602, 519, 2418, 616, 593, 513, 1770, 1652, 4336, 269, 5221, 540, 713, 16369, 267, 596, 666, 946, 519, 11664, 540, 8390, 3079, 540, 519, 3044, 11539, 547, 5635, 519, 8390, 538, 1239, 602, 723, 1114, 4559, 610, 602, 723, 1360, 1114, 1797, 454, 1892, 693, 542, 568, 519, 5223, 540, 6045, 13065, 547, 519, 2698, 13065, 602, 6645, 827, 519, 4222, 540, 5276, 7681, 1063, 519, 4632, 267, 2161, 2473, 543, 962, 454, 1892, 11664, 4214, 281, 476, 272, 269, 513, 1871, 267, 538, 6128, 267, 602, 5526, 538, 4395, 540, 543, 12750, 625, 1776, 1871, 281, 476, 273, 269, 513, 1871, 267, 538, 269, 6258, 811, 454, 1892, 4855, 519, 1871, 540, 1611, 269, 8827, 630, 274, 264, 1403, 519, 1611, 543, 11664, 540, 8390, 540, 513, 1239, 616, 476, 1428, 543, 476, 4366, 6606, 267, 1287, 1265, 519, 1871, 540, 3044, 11539, 269, 8827, 630, 275, 264, 1403, 562, 815, 476, 276, 267, 1535, 392, 482, 815, 476, 277, 2073, 3852, 352, 1535, 476, 273, 815, 476, 278, 4792, 2073, 1287, 5173, 519, 11664, 540, 454, 1892, 634, 11664, 540, 8390, 1058, 581, 17223, 1152, 585, 1239, 6027, 593, 513, 5223, 4336, 267, 607, 891, 616, 519, 7403, 602, 666, 1152, 1491, 1875, 24308, 2418, 269, 634, 11664, 540, 8390, 949, 711, 723, 1022, 2495, 585, 1239, 593, 606, 8884, 4336, 454, 1892, 1677, 5635, 8390, 1851, 7592, 609, 1114, 1797, 543, 7516, 267, 835, 666, 2769, 8390, 8167, 958, 547, 519, 7592, 262, 1611, 676, 12270, 519, 2268, 540, 8390, 676, 519, 16023, 1611, 269, 901, 568, 519, 2013, 950, 12719, 22008, 338, 610, 16302, 14170, 540, 8390, 630, 282, 1294, 623, 2946, 18350, 517, 1696, 620, 269, 476, 1001, 272, 585, 513, 4901, 540, 519, 5413, 540, 22008, 476, 273, 2020, 20059, 618, 6103, 27391, 531, 3213, 324, 2310, 2986, 7352, 566, 290, 4141, 2310, 540, 7352, 566, 630, 528, 22008, 264, 568, 513, 28348, 2268, 540, 24980, 540, 513, 5506, 3892, 269, 898, 568, 849, 1634, 607, 519, 8390, 11664, 610, 3274, 1770, 1242, 1981, 269, 634, 6207, 1871, 540, 519, 3213, 324, 2310, 540, 7352, 566, 568, 3006, 1572, 28731, 9208, 8061, 2747, 630, 528, 681, 16256, 1070, 799, 568, 6829, 607, 513, 6871, 769, 2259, 267, 519, 8107, 23807, 481, 2615, 540, 8390, 543, 519, 24980, 786, 581, 8719, 676, 519, 2323, 17898, 1180, 532, 3732, 2418, 269, 2913, 721, 1413, 693, 519, 8107, 23807, 481, 2615, 540, 8390 ]

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

[ 4892, 7948, 1405, 10146, 1946, 741, 6068, 3283, 941, 12955, 28870, 1472, 519, 1158, 585, 513, 2014, 602, 8604, 22394, 543, 20775, 547, 741, 2729, 269, 5441, 3786, 4926, 7153, 607, 3905, 321, 2644, 540, 17933, 267, 1141, 1053, 6896, 17600, 267, 4001, 15564, 267, 543, 824, 2621, 547, 6318, 4656, 827, 519, 2112, 543, 5000, 4708, 12909, 780, 3080, 7986, 1895, 602, 4646, 1282, 713, 942, 729, 4841, 585, 513, 14891, 5980, 630, 306, 9169, 1070, 4171, 2818, 23647, 585, 29355, 9111, 543, 3540, 2924, 269, 590, 9169, 5129, 513, 1713, 1909, 538, 12180, 23405, 2066, 2852, 10034, 543, 4872, 2429, 519, 2197, 269, 1358, 849, 5280, 11282, 519, 7372, 5651, 1807, 1756, 22415, 1127, 4371, 538, 5239, 543, 5437, 476, 3422, 280, 267, 5373, 7366, 540, 5215, 540, 5171, 945, 18796, 606, 7525, 1439, 547, 772, 2529, 269, 9525, 538, 10476, 780, 5194, 2629, 2460, 540, 519, 4550, 21351, 3350, 3238, 8908, 4187, 269, 8479, 2367, 14718, 585, 931, 5524, 883, 519, 11439, 2533, 3459, 8781, 741, 8908, 6486, 267, 32222, 15632, 267, 610, 6028, 519, 2197, 15587, 547, 2057, 7674, 538, 10476, 269, 1452, 6411, 540, 1219, 4800, 3090, 1242, 3395, 17140, 1851, 3013, 781, 6107, 3823, 519, 2112, 4674, 780, 11101, 267, 28245, 899, 13191, 674, 25352, 543, 17124, 18498, 1031, 741, 5867, 547, 3717, 856, 1996, 519, 4655, 269, 4256, 13047, 11685, 6273, 9118, 11655, 543, 13794, 547, 2243, 519, 13919, 540, 772, 2529, 269, 3527, 538, 14913, 5607, 780, 1262, 25842, 540, 519, 14640, 8862, 541, 11873, 4373, 15987, 7620, 3500, 547, 4431, 267, 1857, 6644, 5555, 17146, 1813, 547, 29287, 2604, 689, 4550, 21351, 1486, 22246, 269, 7971, 5974, 3576, 5469, 267, 609, 1256, 930, 15061, 1876, 16234, 10912, 585, 632, 268, 525, 5632, 566, 610, 15639, 269, 16828, 267, 5518, 9400, 29337, 7550, 513, 3609, 1634, 607, 834, 309, 28126, 1436, 2437, 7930, 4227, 7708, 641, 2157, 1247, 2810, 1489, 585, 3162, 19176, 4229, 780, 3528, 476, 3192, 274, 267, 782, 1977, 8396, 4559, 1185, 2451, 10476, 267, 3927, 10678, 1463, 772, 2529, 269, 7589, 538, 519, 2112, 269, 9282, 15223, 580, 517, 8593, 547, 19797, 4229, 538, 476, 3192, 276, 267, 519, 4550, 21351, 3350, 16309, 538, 8744, 3007, 547, 519, 3520, 5558, 540, 2112, 543, 16550, 14519, 547, 556, 29264, 519, 4539, 540, 6304, 13383, 780, 1103, 3932, 267, 519, 4550, 21351, 3350, 1282, 519, 10476, 2782, 5713, 607, 513, 3532, 1383, 540, 4961, 1210, 12560, 1797, 547, 3310, 4914, 3609, 3664, 269, 3414, 13889, 267, 4187, 267, 543, 3860, 4082, 267, 8723, 2043, 1500, 741, 9739, 4862, 543, 4957, 519, 1576, 540, 1686, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 299, 28515, 1143, 9411, 519, 476, 3422, 271, 781, 607, 519, 4105, 3196, 538, 1977, 6214, 267, 14964, 513, 5951, 540, 22920, 4881, 689, 519, 28626, 5736, 998, 519, 1715, 20958, 543, 3564, 269, 589, 3946, 727, 1762, 7022, 267, 3627, 674, 269, 17394, 267, 1185, 1175, 1044, 11221, 593, 519, 9153, 547, 8831, 519, 4652, 31944, 16786, 540, 6963, 269, 27565, 1143, 11262, 519, 2104, 267, 607, 2107, 6202, 1522, 723, 1767, 269, 8616, 676, 519, 1439, 540, 519, 8717, 267, 12666, 14985, 729, 538, 771, 6783, 267, 609, 930, 540, 922, 3844, 10054, 7745, 676, 519, 1995, 540, 519, 5612, 18631, 1296, 269, 898, 814, 2943, 547, 9156, 563, 1432, 5949, 286, 1703, 568, 267, 540, 1576, 267, 513, 1396, 1415, 540, 3044, 4267, 267, 689, 519, 2797, 547, 519, 2686, 547, 519, 5626, 267, 1142, 5275, 547, 2491, 519, 1390, 30331, 10052, 2040, 4364, 909, 538, 602, 782, 26928, 8360, 267, 968, 1492, 476, 2568, 781, 1848, 1677, 930, 267, 519, 4143, 3815, 729, 513, 1279, 936, 16746, 5114, 547, 519, 1065, 11306, 543, 533, 29136, 540, 476, 4198, 271, 781, 14883, 1143, 269, 1677, 1866, 267, 519, 24659, 2680, 729, 519, 32117, 2112, 538, 10476, 267, 26354, 606, 11685, 3350, 602, 3294, 15583, 730, 883, 7839, 771, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 12901, 328, 8862, 541, 11873, 538, 519, 2475, 257, 607, 851, 540, 834, 19615, 1315, 12668, 1299, 4762, 26555, 1315, 10476, 2782, 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, 1015, 281, 10435, 1715, 14886, 609, 7756, 19932, 692, 5970, 596, 2479, 1558, 2576, 945, 14753, 1776, 1893, 286, 9320, 789, 6410, 1934, 689, 513, 1114, 2197, 267, 610, 6148, 741, 1920, 14753, 513, 1114, 1893, 693, 1753, 269, 898, 666, 581, 2731, 3579, 547, 1451, 1007, 1913, 543, 2453, 689, 824, 4654, 256, 1809, 3006, 621, 666, 849, 581, 14845, 950, 649, 2119, 547, 946, 938, 1378, 1893, 1247, 849, 1210, 930, 1913, 610, 8239, 3652, 689, 1776, 1893, 780, 1607, 568, 1945, 602, 4523, 513, 2603, 950, 1004, 616, 1565, 513, 2034, 1893, 269, 589, 834, 16149, 1893, 257, 568, 1022, 1893, 602, 596, 3717, 538, 1840, 547, 707, 1101, 1893, 269, 1280, 1383, 267, 952, 596, 8057, 909, 6340, 5053, 855, 1631, 596, 2811, 3843, 547, 1451, 2296, 267, 1287, 2296, 1131, 581, 707, 2034, 1893, 780, 2691, 649, 1376, 1565, 513, 2034, 1893, 267, 649, 1419, 1265, 6000, 11544, 1919, 909, 513, 3787, 1063, 938, 1079, 4654, 269, 1284, 1522, 18417, 946, 513, 2262, 689, 835, 1893, 950, 649, 5921, 547, 946, 513, 2262, 689, 519, 824, 1893, 269, 2107, 649, 1522, 1246, 519, 8239, 3652, 540, 938, 1101, 1893, 3079, 540, 519, 3283, 585, 938, 2034, 1893, 269, 901, 568, 1572, 834, 331, 4833, 4483, 2437, 1317, 649, 616, 22151, 1018, 649, 2907, 917, 827, 835, 1893, 936, 547, 519, 1007, 1893, 649, 2811, 1565, 780, 15919, 1893, 4483, 666, 2014, 2042, 538, 938, 2034, 1893, 1565, 269, 1879, 713, 4523, 267, 621, 781, 1572, 834, 17463, 4483, 257, 610, 834, 5793, 12401, 1701, 20134, 4483, 1797, 602, 1945, 649, 798, 8850, 538, 938, 1101, 1893, 7475, 909, 4929, 9073, 538, 938, 2034, 1893, 269, 1280, 1383, 267, 952, 596, 4121, 538, 707, 1101, 1893, 602, 21371, 2097, 1310, 17205, 267, 899, 834, 1492, 1433, 2462, 2437, 1287, 596, 1522, 723, 8373, 19551, 547, 2322, 21371, 1354, 17205, 538, 2296, 267, 899, 834, 1492, 2462, 1433, 1701, 2334, 781, 2942, 4483, 780, 3719, 972, 781, 849, 971, 513, 3364, 607, 834, 27168, 4483, 10590, 15474, 4483, 1797, 602, 1945, 649, 798, 8850, 538, 938, 1101, 1893, 2965, 2337, 721, 1451, 938, 2034, 1893, 811, 3362, 269, 1280, 3236, 267, 952, 1312, 707, 1101, 543, 2034, 4654, 723, 2147, 8231, 3029, 585, 2250, 13029, 267, 1287, 596, 1522, 1265, 621, 2653, 547, 3314, 875, 547, 1106, 2250, 13029, 538, 707, 2034, 1893, 269, 2334, 781, 2318, 4483, 780, 4131, 803, 2995, 596, 513, 1650, 827, 1250, 3659, 12756, 945, 4810, 1312, 2318, 543, 2942, 4483, 1247, 1565, 2296, 269, 12756, 729, 4535, 538, 6792, 543, 12038, 1152, 5053, 2394, 1352, 3323, 9656, 1934, 538, 3013, 269, 2311, 1101, 267, 1352, 1185, 513, 2182, 942, 1620, 1200, 3610, 543, 15032, 1317, 3388, 32131, 865, 1114, 689, 5053, 269, 2701, 1500, 6266, 540, 9073, 950, 1352, 6836, 6158, 538, 2296, 1932, 269, 6884, 1352, 1131, 3575, 909, 519, 1931, 540, 1913, 538, 5220, 267, 1175, 899, 594, 6045, 4505, 269, 1656, 3006, 1352, 1131, 2161, 1919, 602, 4769, 1405, 3833, 1118, 2631, 1317, 1352, 1031, 5053, 8239, 3652, 538, 2296, 269, 2334, 729, 2942, 4483, 780, 4913, 267, 607, 942, 4682, 676, 267, 12756, 8068, 602, 930, 2694, 540, 2296, 941, 4443, 585, 1200, 982, 1866, 269, 2290, 1554, 267, 1282, 2542, 1895, 267, 789, 1224, 513, 1650, 1141, 519, 1915, 729, 4743, 834, 333, 969, 748, 257, 827, 4758, 513, 6881, 693, 1153, 269, 12756, 5612, 6956, 1018, 834, 333, 969, 748, 257, 5921, 1256, 1498, 1352, 22821, 1405, 4862, 602, 2262, 1354, 269, 1215, 1705, 1352, 1174, 621, 286, 4270, 267, 5053, 814, 513, 1360, 2147, 2262, 910, 834, 333, 969, 3930, 334, 257, 1107, 799, 1797, 4010, 519, 1482, 3364, 256, 1924, 7064, 547, 2318, 4483, 689, 5053, 267, 12756, 1223, 4137, 856, 519, 2495, 540, 513, 1007, 2296, 2262, 782, 676, 9887, 269, 15346, 267, 1318, 2496, 3383, 267, 1810, 1405, 5855, 1932, 1454, 827, 1818, 9073, 950, 596, 2811, 1565, 513, 1007, 1893, 269, 4634, 5065, 10529, 1118, 9073, 3006, 256, 3807, 1832, 8026, 543, 4166, 2614, 267, 596, 3513, 5469, 3054, 3478, 1732, 1169, 1554, 269, 5808, 6487, 267, 6148, 14693, 9358, 786, 1831, 519, 4116, 4543, 1866, 6330, 998, 741, 1893, 3460, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 23458, 13555, 267, 4706, 18370, 543, 3117, 538, 519, 4804, 540, 2296, 607, 513, 5822, 5678, 281, 513, 5530, 540, 21009, 540, 513, 14117, 6129, 676, 932, 574, 600, 7701, 1520, 747, 773, 454, 292, 2763, 327, 717, 1068, 337, 8775, 715, 333, 28225, 454, 10387, 841, 281, 1496, 16942, 6870, 316, 2422, 540, 2296, 5149, 2676, 18662, 540, 4937, 5525, 267, 2160, 540, 13280, 267, 715, 338, 4157, 6390, 454, 1103, 519, 3450, 543, 1565, 540, 513, 2034, 1893, 267, 519, 3390, 540, 1893, 4483, 689, 519, 1101, 1893, 14340, 269, 634, 10409, 2360, 540, 713, 4483, 536, 604, 584, 322, 622, 883, 513, 2942, 610, 2318, 1764, 593, 519, 1565, 540, 519, 2034, 1893, 269, 1733, 12241, 519, 2942, 568, 17941, 10409, 13779, 543, 814, 7283, 513, 3978, 1966, 799, 519, 19636, 814, 547, 25077, 609, 267, 1360, 2370, 3007, 814, 1044, 2016, 547, 519, 2318, 6286, 540, 1893, 3346, 538, 519, 2034, 1893, 1565, 3510, 269, 901, 1957, 11394, 547, 2263, 519, 2942, 543, 519, 2318, 3344, 540, 1893, 3346, 630, 1782, 340, 2065, 13779, 264, 538, 1565, 2296, 607, 513, 2034, 1893, 267, 741, 3123, 609, 14621, 547, 3009, 15175, 543, 11544, 267, 2523, 538, 519, 2854, 771, 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, 476, 276, 281, 10435, 14886, 609, 674, 25744, 12660, 687, 910, 4197, 1215, 1284, 4045, 609, 12292, 692, 5970, 596, 2479, 1185, 513, 4620, 602, 596, 1175, 6068, 7836, 942, 609, 286, 9320, 621, 729, 513, 22488, 21937, 267, 513, 8049, 6539, 1084, 267, 610, 1256, 513, 7874, 4154, 8127, 269, 1879, 649, 2811, 1472, 2831, 267, 1945, 9589, 4523, 1107, 649, 3100, 547, 1921, 609, 873, 256, 5620, 596, 2479, 9289, 1946, 602, 568, 286, 4270, 267, 1577, 781, 2263, 519, 4241, 1158, 540, 1480, 12845, 2711, 5872, 1927, 2439, 5575, 267, 4952, 3843, 547, 2911, 547, 707, 4620, 269, 1411, 1522, 946, 1913, 267, 855, 789, 1810, 1405, 1174, 1346, 899, 649, 798, 269, 5502, 267, 596, 949, 7048, 593, 1560, 1893, 267, 11132, 7215, 267, 610, 17267, 269, 2334, 781, 1317, 3425, 543, 2831, 5968, 8335, 256, 9442, 1063, 2249, 666, 581, 3833, 1950, 267, 5473, 4992, 267, 5322, 267, 24462, 267, 543, 811, 269, 12207, 945, 1353, 713, 1826, 540, 2792, 616, 1572, 18186, 5505, 267, 543, 789, 948, 721, 1732, 1174, 938, 24566, 2828, 780, 3086, 1589, 827, 782, 519, 1187, 2238, 596, 2671, 609, 707, 10130, 267, 899, 4730, 30321, 267, 524, 3291, 1782, 267, 610, 3274, 8384, 3165, 7669, 269, 1452, 8090, 1711, 7554, 1063, 3425, 543, 2831, 998, 3838, 2833, 269, 6884, 267, 1004, 1256, 960, 5702, 609, 2831, 538, 2027, 6009, 1634, 607, 10960, 5025, 1087, 13554, 10657, 269, 1280, 1383, 267, 3797, 5243, 3643, 10506 ]

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

[ 3013, 779, 31023, 7269, 883, 513, 1480, 12416, 269, 23718, 543, 1200, 1920, 18220, 519, 2631, 540, 7872, 799, 17275, 9194, 547, 796, 3553, 339, 1194, 3338, 269, 8187, 518, 779, 3159, 14034, 11180, 267, 4272, 2218, 267, 543, 3978, 1765, 268, 320, 21981, 547, 1200, 7029, 547, 8429, 2059, 1200, 11348, 543, 10508, 693, 1373, 513, 22082, 945, 5030, 547, 2995, 1200, 9661, 563, 28012, 5600, 538, 519, 8262, 28418, 454, 5575, 3370, 281, 476, 4350, 273, 454, 13911, 540, 960, 281, 23397, 454, 763, 1433, 12211, 513, 1032, 540, 8176, 543, 8349, 710, 16016, 8712, 779, 1272, 538, 513, 2845, 19970, 538, 519, 16855, 18137, 609, 20766, 6307, 267, 23718, 267, 543, 8349, 710, 563, 2108, 5629, 2390, 513, 942, 267, 24239, 1296, 3516, 267, 513, 2370, 8004, 5030, 538, 519, 8262, 28418, 540, 16855, 267, 538, 513, 2370, 12457, 2777, 1500, 540, 20743, 1848, 4935, 5956, 519, 1101, 540, 8370, 2835, 1759, 593, 519, 20281, 6228, 540, 519, 16016, 8712, 1920, 267, 21338, 519, 942, 693, 476, 6942, 274, 543, 10962, 519, 1292, 1915, 540, 519, 3126, 269, 634, 16134, 540, 6881, 4368, 525, 23718, 779, 5133, 607, 519, 7828, 585, 519, 1650, 267, 543, 782, 18125, 540, 519, 9661, 2611, 3020, 547, 513, 1126, 779, 1448, 540, 2070, 269, 8187, 518, 779, 946, 540, 3854, 5022, 4463, 839, 23718, 779, 4898, 693, 1200, 10450, 563, 2005, 568, 2887, 267, 543, 519, 2879, 1872, 16016, 8712, 1753, 28377, 609, 7556, 3536, 267, 2681, 2685, 17048, 539, 269, 634, 4798, 540, 1920, 3106, 543, 1582, 3146, 18910, 10836, 607, 3844, 547, 713, 1433, 543, 547, 519, 2898, 3126, 269, 13159, 855, 2653, 3562, 268, 16187, 11673, 540, 2679, 513, 8673, 5264, 543, 26718, 532, 513, 6477, 1118, 621, 2312, 602, 1256, 1453, 6785, 519, 9238, 540, 7041, 585, 5162, 269, 901, 973, 2787, 540, 1898, 20281, 1702, 2968, 835, 540, 519, 1034, 3407, 543, 4277, 3344, 540, 8187, 518, 779, 9295, 547, 2663, 1620, 540, 22082, 1272, 563, 22102, 3877, 15052, 519, 2631, 540, 519, 30128, 543, 12178, 540, 971, 513, 1272, 267, 607, 1134, 607, 8575, 779, 8990, 547, 1711, 930, 5898, 585, 1200, 1920, 281, 30538, 2893, 538, 1200, 4224, 532, 11381, 267, 22927, 676, 519, 1769, 540, 519, 17689, 269, 634, 17689, 729, 6505, 543, 21743, 269, 1703, 729, 6070, 538, 519, 5377, 540, 922, 4837, 12826, 609, 519, 737, 14058, 2940, 267, 547, 1832, 519, 737, 14058, 2940, 689, 1011, 5317, 267, 543, 972, 941, 11353, 540, 2699, 1166, 14128, 1851, 519, 6070, 547, 1118, 621, 7168, 269, 898, 729, 7168, 563, 22102, 18953, 799, 5280, 1118, 1272, 17681, 616, 12006, 538, 713, 543, 782, 519, 1739, 2835, 563, 25508, 779, 535, 1342, 1782, 267, 13465, 267, 543, 9423, 593, 5162, 17334, 3715, 1864, 607, 519, 15260, 1005, 4099, 540, 18691, 543, 15364, 269, 589, 5614, 7544, 14120, 21360, 6194, 693, 23718, 779, 22594, 685, 1753, 267, 4832, 5503, 10381, 6194, 267, 543, 9932, 10655, 5180, 856, 519, 1032, 779, 3356, 4724, 7556, 543, 12927, 519, 9547, 713, 1920, 7959, 609, 741, 6552, 1272, 538, 519, 18137, 269, 9453, 17953, 532, 936, 8594, 610, 2182, 960, 267, 8187, 518, 814, 7307, 547, 9446, 20281, 1272, 13267, 569, 267, 609, 14246, 543, 6015, 693, 922, 4295, 563, 28012, 5600, 593, 519, 16217, 21961, 454, 5575, 3370, 281, 476, 4350, 276, 454, 13911, 540, 960, 281, 23397, 454, 763, 16016, 8712, 1920, 7575, 689, 16855, 547, 4095, 24540, 267, 3936, 956, 593, 513, 3409, 267, 13341, 12075, 267, 543, 16976, 547, 1847, 593, 950, 789, 3494, 519, 2229, 786, 1163, 601, 13896, 563, 2026, 519, 2034, 1433, 540, 519, 3126, 5956, 267, 8575, 19385, 14688, 23216, 547, 4734, 519, 12062, 532, 18137, 543, 2777, 585, 519, 20281, 269, 634, 1920, 568, 547, 3444, 519, 14967, 5211, 538, 519, 4411, 267, 2038, 5614, 267, 1354, 519, 4672, 9397, 269, 6736, 1200, 31681, 267, 1352, 10114, 999, 1200, 6690, 269, 968, 1103, 3595, 2775, 543, 23156, 2775, 1352, 18233, 543, 2036, 539, 873, 543, 21039, 873, 27145, 892, 585, 519, 7552, 269, 7731, 607, 519, 2295, 543, 2707, 540, 3354, 5170, 547, 19671, 519, 1650, 547, 2097, 269, 2991, 741, 530, 6782, 5176, 11503, 3278, 15385, 513, 6908, 267, 543, 741, 2915, 10793, 568, 21787, 546, 27547, 267, 519, 10072, 543, 5318, 1145, 540, 519, 31403, 19674, 538, 22880, 4334, 547, 519, 2063, 2922, 6640, 693, 1753, 269, 968, 8253, 1256, 519, 25861, 652, 10250, 540, 14743, 610, 13475, 1223, 581, 2938, 269, 2334, 31403, 6743, 607, 952, 1100, 1480, 3750, 1185, 2479, 2938, 621, 1354, 269, 8307, 519, 7381, 3552, 6371, 4988, 519, 11995, 8900, 2244, 543, 513, 1390, 8900, 6607, 818, 3481, 936, 621, 3034, 2419, 1258, 10999, 267, 519, 31403, 7045, 6227, 513, 1032, 267, 713, 942, 689, 5614, 547, 5614, 269, 1717, 267, 519, 2239, 12211, 2484, 811, 588, 1066, 6681, 2238, 267, 2519, 593, 25229, 21747, 6668, 269, 1280, 519, 1101, 2947, 11271, 267, 519, 16016, 718, 4513, 31939, 3444, 28029, 787, 676, 530, 6782, 267, 22742, 269, 1358, 2661, 538, 513, 17895, 1753, 1247, 14529, 13976, 741, 2845, 2777, 12777, 689, 519, 2666, 909, 269, 6969, 519, 2777, 814, 513, 4396, 7450, 610, 9486, 267, 513, 18896, 3640, 27788, 519, 1920, 593, 513, 2407, 2173, 3019, 3781, 543, 875, 3149, 543, 2879, 4428, 956, 1996, 519, 19970, 6821, 2394, 21554, 269, 14529, 2007, 338, 513, 1134, 865, 519, 1920, 1281, 711, 723, 547, 688, 592, 1216, 689, 519, 524, 9127, 563, 1103, 713, 1433, 513, 7023, 26082, 519, 1920, 5858, 267, 1256, 6972, 883, 4884, 538, 5906, 4365, 547, 1118, 2386, 519, 6690, 723, 6799, 689, 13244, 593, 741, 1101, 31403, 8285, 269, 11153, 14501, 1445, 593, 13341, 609, 12075, 267, 7247, 8575, 9060, 32049, 267, 14529, 24947, 585, 741, 2702, 547, 2661, 593, 519, 31403, 267, 543, 23718, 1439, 8393, 13300, 827, 269, 634, 7404, 14642, 720, 8831, 12560, 17246, 30970, 4724, 3043, 13896, 855, 2408, 543, 1491, 8726, 1426, 543, 10269, 789, 666, 1265, 689, 519, 16016, 8712, 2777, 1896, 2053, 950, 14529, 568, 8854, 563, 763, 31403, 6585, 824, 1768, 5558, 269, 634, 1920, 18923, 3470, 1161, 13663, 267, 1572, 968, 325, 1197, 11313, 333, 685, 989, 826, 1848, 589, 3458, 600, 538, 519, 3781, 18327, 547, 581, 513, 20562, 615, 14529, 18923, 1965, 7870, 607, 646, 19707, 585, 519, 17512, 1881, 968, 30513, 892, 789, 2219, 789, 4862, 269, 1306, 5614, 4485, 267, 519, 12075, 723, 1018, 14529, 7125, 513, 795, 3711, 648, 324, 609, 513, 2407, 3018, 540, 14941, 2719, 267, 15472, 267, 543, 968, 577, 25891, 609, 741, 9739, 1848, 2991, 19492, 20439, 17334, 585, 519, 16016, 718, 4513, 267, 519, 12075, 771, 704, 572, 563, 16729, 519, 795, 3711, 648, 324, 267, 513, 31403, 3595, 27938, 519, 16016, 8712, 1753, 267, 543, 8384, 519, 2063, 12560, 6512, 540, 14642, 1137, 3758, 1989, 574, 569, 856, 540, 8289, 3762, 519, 1920, 20158, 543, 1592, 1652, 269, 634, 7294, 3575, 540, 1253, 6412, 267, 4250, 267, 543, 2463, 585, 12075, 16571, 2429, 713, 1433, 609, 1100, 1483, 2626, 607, 547, 519, 13919, 540, 3043, 13896, 721, 584, 4771, 4095, 2244, 563, 7661, 267, 519, 771, 24711, 2287, 15555, 528, 602, 7980, 949, 2322, 519, 13896, 1055, 4095, 2244, 12987, 8176, 547, 4452, 1010, 1920, 538, 519, 530, 6782, 1586, 543, 2212, 4724, 1776, 1007, 4098, 269, 23718, 1869, 814, 4126, 269, 968, 5445, 941, 782, 1927, 267, 2922, 543, 6899, 896, 519, 5182, 26569, 6607, 1848, 14529, 779, 4222, 267, 5916, 609, 8575, 779, 32344, 1145, 267, 2488, 519, 3844, 3196, 602, 4412, 1564, 519, 1920, 883, 741, 2104, 269, 23718, 3788, 922, 2295, 563, 4322, 8414, 13642, 13012, 454, 5575, 3370, 281, 476, 3707, 274, 454, 13911, 540, 960, 281, 23397, 454, 763, 1433, 12225, 2873, 1920, 1272, 543, 23718, 779, 3450, 4876, 538, 1614, 3506, 4098, 538, 476, 6642, 273, 543, 19411, 919, 609, 1200, 2261, 11538, 1325, 2006, 15605, 8187, 518, 538, 476, 6642, 276, 563, 1607, 1433, 538, 519, 3126, 12225, 2873, 23718, 779, 4947, 6361, 21943, 269, 2701, 3762, 1200, 1920, 547, 4001, 538, 513, 7404, 11175, 4884, 267, 513, 771, 7356, 1747, 609, 1614, 3409, 695, 656, 625, 543, 1152, 2947, 1053, 269, 634, 3844, 14953, 585, 713, 1433, 568, 1325, 2006, 15605, 8187, 518, 779, 10470, 1222, 540, 23718, 267, 799, 5956, 5612, 269, 4173, 1101, 3018, 540, 3450, 4422, 1134, 267, 855, 2695, 19981, 25778, 326, 902, 538, 606, 29043, 1753, 1244, 816, 1200, 269, 1325, 2006, 15605, 11151, 513, 530, 4958, 3481, 15964, 676, 4947, 585, 1200, 609, 1010, 2319, 543, 2759, 614, 269, 10801, 519, 3209, 267, 1325, 2006, 15605, 543, 23718, 11878, 856, 1927, 269, 4256, 10470, 1222, 795, 13550, 338, 723, 22705, 543, 17498, 543, 930, 3552, 26055, 3297, 796, 15842, 5287, 897, 1206, 267, 855, 789, 19411, 622, 538, 606, 6278, 563, 299, 19313, 11414, 547, 948, 1200, 1920, 20019, 543, 23217, 8591, 1200, 1101, 1079, 23269, 547, 519, 1920, 30756, 518, 269, 4173, 3791, 14057, 1352, 17337, 267, 1210, 851, 540, 621, 585, 5958, 547, 18055, 519, 5127, 13274, 839, 543, 9660, 1352, 2115, 607, 513, 1007, 27379, 282, 519, 824, 568, 1200, 3803, 9295, 547, 8575, 543, 14529, 269, 4173, 15271, 948, 2628, 6307, 779, 9276, 693, 513, 2852, 585, 519, 9420, 543, 4444, 606, 1418, 585, 6307, 547, 1404, 950, 1352, 7024, 1753, 563, 1607, 1433, 29349, 1896, 3126, 4798, 269, 13571, 1512, 10072, 568, 4389, 269, 634, 3395, 4884, 540, 1546, 3911, 564, 4667, 2407, 540, 21046, 543, 2551, 10593, 269, 634, 16016, 8712, 1920, 3788, 12082, 972, 282, 1369, 513, 1032, 519, 4630, 652, 1737, 3409, 786, 581, 741, 338, 585, 1434, 269, 23718, 1568, 3544, 1200, 1753, 547, 1489, 519, 1920, 269, 4107, 4174, 330, 5944, 267, 1352, 3762, 1200, 6689, 1753, 267, 4098, 1200, 1378, 5858, 609, 1325, 2006, 15605, 269, 634, 3803, 4320, 19528, 2621, 689, 4505, 2053, 267, 6220, 519, 2250, 267, 543, 5170, 23718, 779, 8903, 11673, 540, 5251, 543, 6607, 799, 948, 2491, 519, 11995, 6822, 25934, 540, 7262, 3338, 5103, 519, 1249, 602, 267, 968, 22336, 2251, 2242, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 294, 527, 3570, 781, 1412, 300, 28854, 5211, 262, 23929, 856, 1686, 540, 10168, 538, 519, 942, 540, 570, 2001, 341, 517, 454, 9961, 1010, 7911, 3125, 267, 853, 269, 8402, 620, 323, 9007, 6833, 787, 17394, 4862, 519, 3771, 8089, 3020, 1650, 540, 875, 1010, 4651, 18084, 519, 14967, 5211, 593, 513, 2306, 31183, 2845, 986, 1111, 693, 519, 2085, 540, 476, 278, 547, 9101, 1018, 781, 1634, 607, 519, 5101, 853, 269, 8402, 5198, 27632, 1824, 563, 2108, 8072, 305, 864, 10617, 685, 568, 875, 519, 15000, 4330, 621, 2223, 17394, 1767, 563, 1103, 519, 4832, 540, 476, 4489, 278, 267, 4254, 338, 540, 11495, 3043, 5520, 7166, 476, 2412, 3109, 5101, 853, 269, 8402, 753, 543, 8731, 3481, 476, 277, 267, 1822, 540, 741, 5321, 267, 14220, 602, 3109, 4600, 1522, 1491, 741, 6009, 693, 519, 1325, 26891, 20957, 543, 1977, 13082, 3549, 563, 8489, 281, 5131, 12744, 267, 4901, 609, 16073, 267, 31075, 281, 808, 290, 623, 10154, 8490, 267, 772, 5960, 299, 13464, 3248, 19894, 2196, 281, 9315, 1400, 15519, 8932, 4741, 267, 476, 736, 5246, 29989, 2904, 3220, 269, 693, 30086, 1194, 324, 13749, 10003, 454, 2691, 281, 2776, 1613, 281, 29869, 267, 4989, 476, 2537, 3248, 305, 684, 281, 476, 279, 533, 6230, 269, 11016, 4149, 12944, 267, 2904, 476, 1556, 268, 866, 454, 1692, 1454, 281, 5131, 12744, 282, 1269, 1428, 267, 1269, 1321, 1053, 267, 20650, 1282, 2834, 2196, 454, 2026, 1973, 2095, 539, 543, 11642, 14616, 2066, 519, 5757, 267, 853, 269, 8402, 7128, 17049, 17051, 689, 10024, 519, 2749, 676, 8115, 267, 543, 17394, 779, 20516, 6785, 1352, 1185, 547, 1589, 3728, 269, 667, 617, 3101, 4439, 7410, 607, 26428, 1266, 5285, 539, 1200, 1753, 267, 1352, 26558, 1176, 13401, 606, 9101, 585, 1200, 543, 1200, 2947, 1453, 563, 2108, 7069, 20516, 3576, 519, 1453, 856, 519, 1394, 543, 267, 538, 519, 14784, 267, 3710, 513, 986, 1111, 543, 2322, 519, 1453, 593, 621, 2223, 17394, 1767, 269, 968, 2005, 3576, 3108, 547, 1205, 2066, 267, 543, 1310, 789, 6368, 3893, 593, 713, 2427, 267, 789, 6836, 547, 1265, 519, 824, 1920, 2818, 4534, 930, 941, 2760, 1336, 563, 298, 523, 15326, 779, 1920, 1650, 568, 835, 540, 1896, 3140, 2621, 4547, 547, 1272, 593, 560, 720, 538, 27707, 3570, 8605, 687, 685, 968, 300, 28854, 5211, 2223, 10023, 513, 1863, 12744, 543, 4901, 4989, 476, 2537, 693, 519, 2160, 540, 16713, 910, 853, 269, 8402, 267, 4553, 676, 513, 2834, 2196, 2904, 476, 1556, 268, 866, 693, 519, 9315, 1400, 15519, 8932, 4741, 563, 13434, 11661, 543, 19551, 1686, 616, 2565, 538, 4393, 519, 2250, 543, 519, 1459, 267, 2687, 547, 27707, 3570, 779, 10324, 8689, 595, 1815, 23158, 24385, 531, 563, 17606, 779, 513, 14626, 2064, 649, 4076, 3893, 713, 570, 2001, 341, 517, 9410, 3364, 2469, 593, 269, 2755, 972, 616, 1869, 2055, 856, 972, 827, 602, 267, 621, 2982, 602, 18284, 519, 2627, 267, 972, 568, 2141, 713, 3390, 540, 7292, 4655, 2223, 24385, 531, 1767, 269, 968, 8512, 540, 938, 1259, 540, 1620, 621, 568, 547, 3314, 875, 3983, 621, 729, 855, 547, 849, 1413, 585, 519, 4126, 6888, 3034, 24552, 1205, 538, 519, 1259, 454, 288, 1404, 1510, 1913, 949, 3100, 899, 606, 3404, 2096, 528, 517, 4534, 8259, 596, 1289, 621, 7544, 14364, 269, 2334, 779, 519, 1523, 3297, 968, 300, 28854, 5211, 2223, 4171, 2984, 616, 5143, 676, 3350, 543, 2575, 267, 29211, 676, 513, 1906, 18405, 543, 930, 1982, 5583, 563, 763, 2504, 5956, 609, 519, 1686, 540, 519, 1158, 543, 7575, 4724, 513, 1297, 540, 2199, 7653, 267, 1519, 519, 524, 1645, 540, 3979, 7510, 326, 3240, 3885, 543, 27208, 25165, 538, 968, 11499, 5054, 892, 693, 519, 476, 5002, 275, 1158, 779, 4023, 267, 543, 519, 811, 2487, 1483, 10140, 622, 2699, 2000, 1456, 602, 6854, 3043, 16973, 3043, 563, 21545, 2001, 532, 891, 13685, 2262, 8393, 1797, 519, 3527, 616, 16271, 513, 1114, 2186, 540, 7664, 267, 24385, 531, 1767, 563, 14881, 4076, 4121, 602, 1913, 666, 581, 12261, 883, 8726, 1004, 1616, 267, 711, 1317, 789, 616, 17543, 22392, 519, 2495, 855, 1317, 649, 782, 4497, 538, 16496, 6947, 2223, 24385, 531, 1767, 563, 2690, 1383, 267, 519, 2262, 968, 2350, 1143, 892, 568, 1419, 2404, 609, 968, 534, 5817, 11350, 580, 2397, 543, 8247, 2223, 2687, 547, 31075, 7200, 20484, 269, 1809, 519, 5168, 568, 602, 621, 779, 711, 2141, 6857, 610, 5497, 547, 2800, 267, 1352, 11329, 856, 269, 898, 779, 1271, 585, 1004, 547, 917, 602, 519, 2504, 568, 827, 1620, 4534, 711, 16620, 563, 14881, 1616, 1004, 547, 3802, 2476, 23248, 2348, 2799, 741, 4656, 540, 1018, 10168, 5654, 899, 267, 875, 789, 3565, 547, 621, 543, 875, 547, 4368, 621, 2223, 20484, 1767, 563, 305, 659, 1143, 3085, 1406, 10413, 1152, 18441, 454, 5194, 5048, 602, 20484, 543, 1866, 3238, 538, 519, 2504, 1616, 547, 6494, 568, 602, 782, 1004, 4534, 711, 1175, 18441, 4534, 616, 4299, 676, 10168, 610, 14882, 269, 1403, 596, 2461, 513, 1268, 945, 22613, 519, 8265, 2864, 982, 2097, 883, 3346, 609, 513, 1880, 1895, 267, 707, 9636, 9292, 1206, 596, 563, 2108, 6546, 779, 711, 513, 1434, 1259, 547, 2661, 707, 1272, 950, 596, 616, 513, 1268, 945, 814, 891, 4606, 2223, 20484, 1767, 563, 6097, 547, 8689, 543, 25287, 19212, 966, 643, 1014, 18722, 8862, 3430, 267, 15523, 1063, 2516, 616, 6854, 538, 1747, 538, 16221, 2081, 267, 1519, 519, 24819, 2243, 853, 269, 8402, 753, 899, 547, 2307, 281, 968, 8489, 8910, 596, 979, 547, 1164, 1153, 18313, 2108, 5629, 789, 917, 267, 789, 2322, 596, 538, 513, 7121, 610, 4087, 543, 3388, 602, 779, 7923, 547, 602, 4087, 2223, 18722, 8862, 3430, 1767, 563, 763, 968, 300, 28854, 5211, 892, 25249, 609, 7247, 18722, 8862, 3430, 568, 2324, 2039, 689, 1164, 1153, 1053, 547, 14468, 918, 15811, 14480, 5069, 16929, 547, 513, 19384, 19831, 6575, 1895, 269, 769, 513, 3126, 540, 642, 793, 22863, 267, 789, 7544, 711, 1152, 547, 2995, 519, 2984, 855, 547, 9414, 519, 2495, 3297, 2621, 899, 519, 8230, 2740, 903, 262, 986, 1111, 15385, 563, 10527, 6249, 540, 602, 4062, 568, 4126, 267, 6668, 267, 16177, 267, 513, 2631, 540, 1920, 2497, 543, 2648, 4534, 602, 8825, 3815, 540, 2048, 296, 786, 1832, 1250, 1920, 1927, 16224, 892, 18722, 8862, 3430, 1767, 563, 4407, 17394, 5654, 4464, 547, 7487, 1010, 1920, 779, 1686, 5129, 856, 593, 3942, 267, 646, 849, 814, 6404, 4606, 563, 17606, 6770, 909, 513, 2603, 540, 4664, 282, 621, 779, 513, 2352, 1650, 267, 543, 676, 6616, 519, 15000, 1101, 11804, 267, 594, 917, 519, 1928, 789, 5645, 689, 621, 2223, 17394, 1767, 269, 968, 3719, 676, 519, 1482, 18351, 267, 649, 616, 28165, 1848, 0, 31415, 515, 3057, 638, 1047, 632, 1530, 793, 601, 599, 543, 5565, 540, 1200, 25860, 3299, 476, 15433, 272, 454, 2421, 24839, 631, 793, 731, 454, 26780, 267, 634, 2817, 20155, 563, 2690, 476, 1220, 275, 270, 4962, 267, 519, 835, 6377, 8033, 5224, 454, 32153, 4886, 6030, 267, 1572, 1412, 293, 1090, 532, 519, 454, 10501, 5382, 3299, 2196, 676, 2817, 20155, 4065, 786, 454, 325, 1371, 593, 1412, 763, 3057, 638, 1047, 632, 1530, 793, 601, 599, 543, 5565, 540, 1200, 25860, 7055, 2421, 24839, 631, 793, 731, 269, 634, 1576, 786, 1413, 693, 2081, 540, 1210, 454, 335, 5593, 902, 538, 519, 4928, 676, 10128, 1148, 538, 547, 454, 1492, 2817, 15099, 269, 901, 6240, 20383, 5702, 454, 5976, 519, 667, 325, 2464, 12729, 15613, 281, 28742, 543, 17949, 618, 2676, 6518, 7028, 513, 11455, 1935, 547, 519, 6437, 454, 2421, 29227, 519, 6402, 1063, 1641, 2127, 563, 31415, 515, 3057, 638, 1047, 632, 1530, 793, 601, 599, 543, 5565, 540, 1200, 25860, 262, 729, 454, 577, 4923, 607, 621, 568, 3638, 609, 8100, 547, 8106, 2984, 2676, 553, 1134, 607, 1373, 513, 17855, 540, 513, 3943, 1920, 269, 5637, 454, 1993, 891, 5396, 960, 1134, 609, 3119, 27070, 1053, 454, 663, 849, 3095, 547, 519, 2817, 17402, 15613, 543, 454, 1492, 667, 325, 2464, 1007, 5943, 585, 7073, 14579, 4654, 563, 1877, 547, 2070, 960, 454, 5228, 519, 476, 1220, 277, 14266, 267, 6273, 676, 713, 7206, 563, 15100, 634, 2817, 20155, 267, 0, 2464, 299, 2296, 7689, 20308, 6657, 593, 674, 2948, 924, 1919, 585, 2296, 22996, 454, 11854, 1136, 2296, 16497, 454, 12626, 24935, 17943, 454, 19894, 2296, 16497, 454, 19968, 2296, 16497, 454, 11328, 1613, 2296, 16497, 454, 9199, 767, 2296, 16497, 454, 296, 10972, 1682, 543, 1912, 29320, 454, 17359, 7689, 12039, 454, 21995, 23016, 16497, 454, 1103, 23059, 23016, 16497, 454, 28723, 23016, 16497, 454, 15761, 571, 2296, 16497, 454, 12626, 18049, 17943, 454, 12626, 24935, 15080, 454, 276, 16390, 585, 24935, 12071, 1890, 454, 294, 1090, 3405, 585, 24935, 454, 4504, 29396, 543, 17726, 454, 293, 2948, 924, 910, 20308, 6657, 454, 12812, 593, 19415, 2353, 543, 1246, 2059, 269, 2991, 4742, 6899, 609, 519, 3003, 6643, 267, 1831, 12287, 589, 676, 14467, 593, 519, 12287, 589, 7735, 269, 1411, 786, 5873, 1152, 12287, 645, 998, 519, 8301, 3758, 269, 1703, 786, 581, 513, 16563, 585, 596, 547, 10956, 519, 5220, 540, 12287, 589, 269, 1684, 519, 1482, 585, 12287, 645, 269, 634, 3432, 540, 519, 6643, 568, 5065, 3432, 269, 2422, 519, 23249, 7735, 952, 519, 23249, 1063, 1142, 4845, 568, 1932, 3728, 585, 596, 269, 2991, 8026, 1896, 2053, 267, 596, 786, 581, 2111, 547, 3717, 607, 3728, 607, 513, 5065, 563, 288, 281, 834, 1432, 616, 596, 3257, 14182, 24350, 289, 281, 834, 296, 6415, 2469, 547, 3251, 1753, 543, 4585, 519, 3381, 4799, 288, 281, 834, 1432, 616, 596, 2469, 547, 4585, 24350, 289, 281, 834, 296, 10519, 539, 7831, 540, 519, 15011, 4618, 269, 5620, 596, 2938, 621, 24350, 288, 281, 834, 6546, 729, 835, 540, 1250, 5172, 9413, 269, 1411, 786, 711, 581, 25922, 4799, 288, 281, 834, 1432, 781, 707, 5172, 1426, 24350, 289, 281, 834, 296, 899, 4457, 1426, 519, 1034, 4799, 288, 281, 834, 5970, 596, 1044, 547, 519, 4457, 13962, 593, 476, 4510, 628, 8265, 4799, 289, 281, 834, 5591, 594, 10093, 1405, 269, 1772, 621, 1022, 1434, 24350, 288, 281, 834, 2005, 781, 1250, 5172, 4457, 13962, 269, 594, 3494, 596, 786, 899, 621, 4799, 289, 281, 834, 6546, 4992, 1390, 269, 2913, 781, 979, 4799, 288, 281, 834, 20756, 10793, 269, 1215, 941, 707, 5049, 713, 19496, 24350, 289, 281, 834, 5445, 941, 711, 1932, 3983, 269, 594, 2731, 2007, 15828, 27419, 1250, 1135, 328, 1606, 7220, 1362, 4799, 288, 281, 834, 25898, 596, 2015, 621, 707, 5172, 1362, 24350, 289, 281, 834, 296, 1810, 1405, 917, 952, 594, 1131, 1289, 621, 1250, 5172, 267, 855, 621, 16034, 909, 972, 4799, 288, 281, 834, 1432, 1362, 729, 707, 5172, 1287, 24350, 289, 281, 834, 296, 3576, 513, 1870, 2792, 1362, 2063, 1032, 543, 621, 729, 17512, 881, 4799, 288, 281, 834, 296, 2760, 3576, 602, 2943, 269, 1403, 602, 729, 707, 5172, 267, 594, 1589, 594, 786, 2638, 621, 856, 4799, 11854, 752, 2296, 5488, 454, 2421, 23842, 7366, 540, 454, 21459, 3259, 544, 335, 274, 8301, 6119, 585, 782, 519, 4245, 269, 13185, 12626, 5510, 1467, 19405, 568, 1631, 4712, 585, 4647, 269, 3619, 547, 519, 454, 2457, 543, 4647, 2221, 2336, 2252, 596, 1294, 713, 1257, 543, 596, 616, 1210, 9605, 293, 2135, 267, 5225, 4647, 519, 18044, 32156, 623, 1663, 6265, 563, 15648, 9736, 476, 1220, 276, 910, 476, 1001, 274, 570, 3201, 298, 2894, 21923, 23360, 269, 26376, 0, 1607, 7084, 568, 11331, 834, 4131, 781, 10812, 3013, 256, 2422, 513, 10934, 547, 4855, 1977, 2276, 267, 20079, 267, 8092, 13257, 267, 543, 645, 3672, 540, 4826, 1701, 901, 7084, 2882, 476, 736, 2055, 602, 2154, 1053, 547, 5659, 513, 4786, 540, 519, 2136, 2276, 585, 1533, 10665, 267, 3854, 4872, 267, 2244, 13257, 267, 543, 4703, 540, 1216, 563, 2080, 616, 1079, 3732, 2055, 912, 257, 7617, 4279, 20463, 8473, 12309, 8119, 543, 834, 297, 27889, 3205, 4975, 568, 519, 3854, 540, 799, 1533, 24350, 1607, 1131, 1118, 513, 1390, 4367, 547, 476, 275, 628, 3446, 1053, 8600, 547, 1353, 519, 2136, 2276, 585, 519, 1101, 942, 563, 2005, 1131, 849, 960, 1134, 538, 1022, 2362, 10026, 610, 1647, 1153, 4928, 607, 4786, 1983, 616, 1869, 2565 ]

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

[ 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, 519, 2295, 540, 14297, 1715, 3840, 4975, 267, 972, 729, 513, 1507, 267, 18241, 13962, 3957, 1412, 293, 3306, 13983, 839, 9538, 634, 8227, 267, 6004, 269, 5682, 7615, 267, 929, 3660, 5128, 593, 7674, 1152, 519, 23906, 4554, 25235, 1500, 689, 15072, 1169, 1554, 269, 1261, 1185, 1079, 5520, 910, 8861, 267, 513, 2852, 2875, 4974, 24756, 2359, 267, 543, 8751, 267, 513, 1164, 1153, 2028, 1565, 827, 519, 1426, 2872, 780, 3080, 13566, 12784, 267, 6004, 269, 5682, 7615, 8655, 8861, 543, 8751, 519, 4305, 540, 8600, 10448, 25235, 585, 519, 12899, 19060, 269, 19196, 1243, 569, 267, 789, 3459, 676, 11067, 782, 519, 5388, 23939, 896, 4881, 1216, 267, 4180, 1100, 1179, 330, 540, 13897, 7283, 269, 1358, 5116, 519, 5969, 12545, 593, 519, 4831, 9008, 543, 10356, 741, 31009, 267, 22019, 619, 267, 543, 26633, 780, 27880, 3576, 5279, 267, 11744, 1200, 4359, 1983, 547, 8751, 269, 2701, 3323, 676, 14299, 4771, 1055, 519, 538, 539, 1043, 7475, 540, 17436, 543, 13767, 2044, 24672, 1247, 7713, 519, 2956, 540, 9882, 950, 7829, 1426, 269, 11531, 267, 8751, 17388, 547, 2759, 1010, 22282, 883, 11116, 13355, 4773, 269, 654, 10248, 1864, 6560, 267, 8861, 6700, 646, 20105, 519, 1166, 648, 1206, 3259, 3772, 1354, 546, 6005, 873, 269, 1306, 789, 4797, 840, 6137, 267, 8861, 3838, 930, 3407, 4388, 1352, 4121, 1282, 11477, 5049, 910, 4509, 1697, 14302, 11151, 9854, 267, 5329, 11263, 512, 26786, 6971, 519, 1981, 540, 11912, 267, 543, 5812, 521, 1944, 5849, 7833, 5986, 780, 4913, 267, 1919, 3576, 606, 6397, 2490, 950, 8751, 4956, 547, 3432, 909, 519, 1184, 1813, 547, 3395, 2604, 689, 519, 20387, 9753, 269, 22695, 1681, 3106, 15416, 267, 646, 22672, 8393, 22872, 519, 14274, 267, 4611, 538, 19514, 25098, 269, 5047, 267, 9141, 676, 30411, 267, 646, 18417, 12183, 539, 1010, 9416, 267, 4929, 513, 5634, 2759, 269, 8528, 8450, 532, 713, 267, 8861, 5612, 11074, 2324, 543, 13984, 547, 8751, 269, 28528, 7738, 519, 10138, 609, 1884, 1047, 10364, 530, 6346, 267, 1352, 18056, 1864, 602, 31930, 1223, 1291, 547, 29070, 2164, 267, 2523, 538, 519, 10051, 1141, 1072, 6042, 941, 14063, 269, 14171, 5539, 585, 1010, 12161, 267, 8751, 23294, 1242, 25442, 569, 547, 8861, 543, 16219, 547, 1445, 811, 593, 8856, 936, 3432, 780, 8601, 519, 1305, 3724, 267, 789, 7307, 547, 2347, 519, 21339, 1175, 538, 942, 585, 519, 8445, 5662, 269, 4256, 3608, 16542, 8507, 538, 30590, 5561, 882, 5109, 4195, 267, 26546, 19787, 1148, 2685, 11231, 538, 10477, 14249, 269, 5637, 8861, 543, 8751, 2451, 4743, 12913, 267, 1620, 602, 4352, 9073, 4755, 267, 26724, 2298, 543, 3106, 5012, 547, 1967, 538, 1870, 543, 1272, 7567, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 2108, 27855, 519, 1184, 540, 5969, 5388, 585, 513, 19997, 563, 29493, 1154, 5388, 585, 513, 19997, 568, 513, 5266, 2241, 1184, 602, 666, 581, 2944, 1739, 891, 3268, 1384, 272, 269, 10670, 676, 11067, 782, 707, 5388, 8499, 547, 4894, 1022, 13897, 543, 11935, 269, 901, 1900, 568, 2629, 607, 621, 2337, 547, 9004, 1022, 12526, 543, 4551, 780, 273, 269, 9255, 707, 5969, 4604, 593, 513, 6366, 2627, 267, 543, 5965, 519, 2556, 2645, 899, 513, 8325, 17180, 267, 513, 22019, 518, 267, 543, 513, 12826, 547, 3180, 519, 5388, 780, 274, 269, 3399, 676, 5969, 1055, 1022, 538, 539, 1043, 2694, 540, 519, 5388, 899, 11710, 267, 3762, 267, 610, 5072, 269, 13689, 593, 519, 5388, 596, 616, 1210, 267, 22019, 1055, 741, 32675, 952, 2556, 780, 275, 269, 10670, 546, 6005, 267, 14253, 532, 610, 27054, 3429, 519, 5388, 547, 707, 5551, 2450, 267, 543, 4483, 873, 547, 707, 19997, 12826, 607, 596, 960, 269, 898, 781, 1898, 547, 946, 519, 1318, 5969, 2553, 547, 2057, 5945, 543, 2327, 519, 5388, 616, 519, 1482, 2450, 585, 1256, 5986, 780, 276, 269, 1403, 596, 4782, 707, 5388, 547, 581, 811, 13035, 267, 596, 666, 1025, 21123, 610, 9252, 873, 585, 513, 1906, 3764, 267, 1287, 8710, 10640, 763, 1650, 1058, 11200, 998, 519, 3197, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 269, 634, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 3848, 7170, 281, 7101, 14306, 5463, 599, 281, 1879, 8752, 2725, 1115, 19196, 1243, 631, 26163, 692, 5331, 596, 2811, 8066, 513, 30437, 8141, 2401, 593, 513, 4158, 3781, 269, 1306, 596, 5951, 621, 1472, 267, 18162, 540, 1769, 1246, 707, 5322, 1107, 713, 568, 10237, 894, 9178, 538, 2962, 256, 1809, 1018, 1281, 602, 1611, 286, 2913, 781, 4685, 883, 519, 4241, 1158, 540, 9599, 6675, 543, 741, 5872, 609, 1769, 780, 4263, 1682, 543, 6675, 616, 2356, 538, 513, 1533, 540, 9803, 1648, 1572, 519, 2666, 1533, 269, 1717, 267, 3006, 789, 10110, 1648, 543, 7914, 547, 513, 2362, 1648, 1377, 1634, 607, 519, 9599, 1533, 269, 901, 666, 4755, 1813, 547, 1585, 4128, 971, 607, 3002, 267, 5201, 267, 610, 1256, 1769, 256, 4495, 606, 11046, 610, 11140, 10301, 519, 9599, 1533, 267, 621, 3085, 1405, 3251, 972, 11014, 269, 898, 786, 5555, 2132, 547, 922, 9350, 543, 17159, 2666, 1533, 1107, 543, 950, 621, 1281, 267, 621, 13847, 1648, 538, 519, 1106, 540, 1769, 269, 901, 1184, 568, 1572, 10237, 894, 9178, 780, 2414, 948, 14650, 713, 1523, 1577, 781, 1589, 827, 513, 16945, 1723, 2120, 269, 24613, 909, 519, 14629, 630, 1492, 9599, 1533, 264, 3217, 811, 1648, 982, 1373, 693, 519, 5377, 630, 3033, 1533, 1040, 2991, 8757, 519, 8445, 267, 8904, 27605, 519, 1071, 2120, 1524, 519, 824, 2427, 16089, 782, 602, 6740, 1761, 1648, 269, 6684, 267, 8444, 543, 6675, 5305, 1648, 1282, 10237, 894, 9178, 676, 32749, 1769, 1175, 899, 707, 8141, 2401, 780, 3086, 1934, 2501, 519, 1187, 851, 910, 1114, 2609, 723, 2189, 19367, 2404, 609, 741, 13289, 1063, 2829, 269, 1924, 1142, 835, 32307, 513, 1808, 2681, 950, 13059, 547, 519, 2666, 1533, 998, 10237, 894, 9178, 269, 1280, 1383, 267, 19440, 4191, 946, 713, 6240, 547, 1711, 7524, 4778, 4470, 593, 519, 3154, 16290, 3330, 269, 3026, 517, 3294, 7472, 513, 6505, 10538, 268, 1042, 16657, 1247, 2415, 517, 31438, 4544, 2439, 4131, 781, 2119, 1776, 1383, 6251, 1753, 269, 5620, 596, 2479, 2451, 513, 4837, 540, 1216, 2282, 513, 3532, 17689, 585, 930, 942, 543, 8068, 513, 25861, 17824, 880, 16657, 286, 2334, 781, 10281, 6918, 2643, 18119, 4646, 1813, 547, 11158, 5982, 32232, 609, 1216, 11517, 2870, 27846, 19985, 799, 15225, 7298, 28264, 2390, 11005, 1394, 547, 2666, 1533, 3842, 10237, 894, 9178, 269, 26812, 3215, 1318, 2496, 3383, 1985, 942, 596, 1294, 32030, 8654, 909, 519, 6607, 610, 22401, 2390, 6801, 1000, 1074, 1782, 17542, 540, 5195, 2476, 267, 3314, 596, 2811, 26164, 10237, 894, 1232, 904, 8345, 1318, 1354, 707, 4064, 269, 3245, 6263, 8444, 547, 5318, 15270, 267, 1620, 10237, 894, 9178, 10741, 9885, 547, 3695, 11580, 6456, 1369, 938, 7122, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 273, 289, 8344, 20513, 267, 700, 14137, 657, 990, 18293, 3557, 2160, 267, 476, 15686, 279, 4200, 18293, 267, 6576, 282, 661, 17733, 281, 18078, 17106, 11333, 3820, 454, 3725, 18727, 4873, 476, 272, 267, 476, 1220, 278, 454, 1607, 2689, 6238, 689, 513, 5618, 3140, 2272, 13991, 547, 519, 3741, 540, 519, 29732, 27761, 2401, 829, 2135, 9179, 3069, 543, 6901, 543, 2093, 799, 3366, 589, 269, 715, 269, 29732, 547, 922, 5137, 269, 3973, 267, 519, 6602, 540, 2584, 17871, 2962, 568, 4330, 267, 799, 729, 3254, 547, 1267, 689, 20119, 6337, 31731, 1242, 11852, 540, 7636, 5135, 269, 634, 10565, 1686, 540, 2964, 2065, 2090, 540, 5135, 8666, 716, 10474, 568, 12649, 4358, 689, 519, 29732, 27761, 2401, 829, 2135, 9179, 3069, 547, 519, 8367, 540, 12387, 6448, 267, 6602, 540, 2206, 2280, 5135, 543, 1863, 18119, 543, 267, 1287, 267, 547, 2413, 5784, 593, 519, 3119, 8666, 716, 10474, 3157, 269, 634, 5169, 540, 4922, 1031, 6498, 540, 2584, 17871, 3157, 883, 1826, 594, 543, 1826, 4083, 543, 519, 6935, 540, 891, 3157, 547, 519, 2470, 540, 519, 3119, 2584, 12950, 6547, 540, 6337, 31731, 9088, 616, 5941, 269, 1715, 8847, 540, 891, 6547, 616, 6069, 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, 20238, 14306, 5463, 599, 257, 607, 851, 540, 834, 306, 11799, 1315, 8212, 1315, 26994, 1299, 17449, 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, 5994, 596, 723, 930, 2724, 10710, 909, 689, 3257, 26050, 267, 3478, 27108, 267, 610, 1256, 2324, 513, 851, 6066, 2816, 256, 1411, 1522, 1616, 547, 4688, 602, 2724, 585, 1945, 2027, 899, 9140, 513, 1007, 11332, 610, 11080, 23641, 269, 1809, 1018, 952, 3079, 540, 5329, 782, 707, 9806, 538, 835, 1747, 267, 596, 1223, 3262, 873, 856, 2066, 1114, 2010, 540, 9541, 899, 13632, 267, 7554, 267, 610, 1483, 10040, 286, 901, 1259, 267, 952, 835, 1826, 540, 5092, 3085, 1405, 798, 1134, 267, 1866, 949, 1869, 1332, 267, 4758, 596, 513, 1732, 4960, 540, 8757, 707, 3804, 269, 2334, 781, 1572, 2348, 513, 4129, 1881, 14769, 2439, 3086, 267, 950, 649, 2911, 827, 5883, 891, 9541, 267, 972, 616, 1079, 1271, 2035, 547, 1174, 1107, 556, 4472, 3496, 543, 3454, 4398, 269, 2913, 781, 2263, 1142, 1523, 998, 11541, 7653, 780, 1262, 3918, 289, 3201, 3198, 290, 5058, 16001, 4131, 781, 2161, 596, 3323, 609, 3160, 5666, 16539, 538, 1614, 1919, 281, 1269, 2004, 538, 13632, 267, 1269, 2004, 538, 7554, 267, 543, 1269, 2004, 538, 1483, 10040, 269, 3683, 942, 267, 835, 610, 811, 540, 1346, 2127, 786, 1685, 8335, 982, 519, 1866, 269, 1403, 13632, 979, 909, 5488, 982, 519, 824, 9541, 267, 789, 1522, 1631, 2099, 513, 3677, 6712, 540, 707, 2698, 14769, 1871, 269, 1677, 1832, 707, 3312, 1544, 543, 5551, 3575, 267, 596, 1131, 6133, 930, 6006, 8843, 543, 4444, 811, 540, 519, 896, 704, 14127, 3283, 630, 2548, 1091, 610, 1483, 10040, 1040, 901, 1184, 540, 14577, 707, 9541, 1394, 547, 741, 3355, 21159, 568, 1634, 607, 2608, 516, 4472, 3496, 29688, 898, 2337, 2226, 3666, 543, 6971, 1981, 780, 13914, 540, 556, 4472, 3496, 899, 4509, 513, 7059, 2732, 269, 3807, 607, 4189, 1932, 1454, 16741, 666, 12235, 1055, 707, 1072, 3853, 267, 15603, 835, 5092, 7121, 20441, 707, 14769, 666, 2333, 922, 2949, 1981, 269, 1635, 5781, 10992, 543, 1224, 3286, 532, 938, 9541, 267, 649, 2327, 513, 2635, 543, 3309, 3575, 602, 8952, 721, 3001, 2509, 938, 6859, 780, 1262, 14011, 311, 661, 13697, 2975, 296, 27301, 312, 16001, 5194, 1883, 2460, 540, 1434, 5092, 2359, 3322, 10893, 9204, 269, 1879, 649, 7118, 4747, 610, 12434, 689, 9513, 1978, 2010, 540, 9541, 267, 649, 1419, 991, 547, 2628, 9204, 593, 1346, 15271, 269, 1717, 267, 5100, 9520, 946, 2994, 547, 2539, 741, 3454, 3915, 865, 789, 666, 11677, 811, 540, 741, 7024, 269, 1280, 1383, 267, 8066, 5196, 15874, 7221, 585, 936, 513, 1032, 1354, 9513, 2636, 9520, 547, 1491, 5413, 540, 1279, 3856, 3854, 12374, 3928, 799, 616, 3622, 2539, 982, 2110, 3856, 3928, 269, 6271, 8671, 545, 568, 1210, 3454, 268, 7349, 3042, 6589, 971, 607, 16843, 2026, 543, 476, 25002, 17347, 264, 338, 267, 799, 2709, 3454, 2640, 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 ]

[ 320, 1532, 14587, 1422, 842, 1422, 2765, 3189, 7562, 630, 343, 1532, 264, 1422, 6523, 630, 343, 8584, 9984, 315, 6523, 630, 343, 1532, 264, 1422, 7562, 630, 343, 8584, 264, 7346, 7562, 630, 343, 8584, 264, 7268, 7562, 630, 343, 1532, 4297, 348, 546, 1535, 6911, 259, 7807, 2765, 346, 272, 7346, 7562, 630, 320, 1532, 14587, 1422, 842, 1422, 2765, 3189, 6523, 630, 343, 8584, 264, 546, 1535, 7346, 7562, 630, 343, 8584, 14587, 10559, 2765, 3189, 6523, 630, 343, 1532, 264, 7346, 7562, 630, 343, 1532, 14587, 1422, 9507, 18097, 348, 1422, 9507, 12757, 10592, 259, 7807, 2765, 346, 272, 7346, 7562, 630, 320, 1532, 14587, 1422, 8421, 1923, 315, 7562, 630, 343, 8584, 31206, 10559, 8421, 1923, 315, 7562, 630, 343, 1532, 31206, 266, 322, 6911, 259, 7807, 2765, 346, 272, 7346, 7562, 22570, 9507, 21151, 32757, 9507, 15830, 348, 14587, 1422, 8421, 1422, 3847, 24689, 2765, 3189, 7562, 630, 343, 10559, 9507, 21151, 16585, 7346, 7562, 630, 343, 10559, 9507, 15830, 16585, 4153, 2431, 347, 10954, 9507, 26231, 4151, 0, 11302, 26413, 1721, 636, 3820, 7502, 28739, 476, 274, 343, 266, 272, 1966, 454, 14871, 8745, 5457, 2725, 286, 10426, 5320, 454, 19193, 14174, 304, 9612, 4653, 781, 24762, 4460, 1280, 4548, 3367, 692, 476, 1001, 280, 268, 6734, 268, 866, 267, 476, 1321, 281, 3607, 1948, 272, 7261, 6975, 3055, 7545, 3967, 476, 1220, 278, 5125, 476, 273, 9943, 14681, 24762, 7502, 28739, 476, 274, 343, 266, 272, 1966, 28982, 2818, 8206, 962, 16518, 594, 3893, 606, 2856, 602, 4194, 6148, 713, 1966, 269, 901, 2856, 568, 5206, 538, 24141, 267, 855, 6148, 621, 568, 24669, 269, 3371, 519, 13017, 547, 2022, 1100, 269, 476, 2412, 630, 335, 345, 19241, 1575, 601, 2073, 602, 338, 803, 264, 4179, 2517, 3901, 515, 17839, 564, 19709, 270, 3901, 515, 17839, 564, 14672, 1862, 4135, 284, 2412, 258, 335, 11260, 30525, 272, 8729, 585, 5955, 269, 14621, 22374, 630, 335, 345, 19241, 1575, 601, 264, 28514, 267, 594, 2119, 621, 547, 2328, 538, 7005, 2807, 331, 831, 811, 7831, 535, 1342, 1194, 609, 676, 7261, 6975, 3055, 593, 476, 1001, 280, 268, 6734, 268, 866, 693, 476, 1321, 281, 7906, 454, 476, 1001, 280, 268, 6734, 268, 866, 267, 476, 1724, 281, 1321, 1948, 273, 7261, 6975, 3055, 7545, 3967, 476, 1220, 278, 5125, 476, 23714, 1015, 24762, 3371, 538, 7005, 281, 589, 834, 2889, 557, 257, 602, 519, 7502, 28739, 268, 2425, 20044, 7475, 2479, 609, 476, 275, 267, 273, 267, 272, 269, 3733, 2856, 568, 269, 6875, 513, 2067, 7089, 715, 543, 2981, 883, 519, 12242, 4082, 269, 6333, 1152, 519, 2063, 476, 273, 9704, 269, 1284, 1205, 476, 275, 10659, 269, 1703, 616, 476, 876, 267, 4905, 267, 1015, 543, 476, 1556, 1284, 723, 476, 273, 7502, 28739, 6042, 2433, 476, 274, 343, 266, 272, 585, 9642, 2338, 543, 476, 271, 269, 276, 343, 585, 1256, 2338, 269, 3767, 281, 4999, 9847, 1310, 7502, 28739, 6042, 10371, 876, 9847, 10371, 876, 610, 10371, 1015, 10371, 4905, 9847, 10371, 876, 10371, 1015, 9847, 10371, 4905, 610, 10371, 1556, 10371, 1556, 9847, 10371, 1015, 1411, 1294, 2653, 267, 972, 616, 476, 275, 2081, 547, 10300, 557, 519, 24288, 543, 1152, 476, 273, 2081, 547, 2333, 1614, 19507, 519, 31317, 22791, 272, 1040, 3683, 782, 2818, 538, 513, 7502, 28739, 268, 2425, 20044, 649, 723, 513, 5223, 540, 476, 275, 281, 273, 269, 2334, 5205, 649, 723, 936, 782, 538, 513, 3670, 2173, 1897, 1532, 6674, 835, 476, 272, 270, 1626, 543, 835, 2053, 476, 280, 269, 2107, 8206, 5180, 476, 280, 270, 1626, 349, 6321, 260, 568, 519, 2063, 4759, 540, 513, 31317, 268, 277, 1532, 6674, 269, 5517, 267, 1929, 476, 271, 269, 6321, 28682, 9847, 476, 271, 630, 14588, 6900, 3267, 275, 267, 273, 267, 272, 264, 630, 343, 1297, 540, 7161, 267, 933, 2838, 547, 3136, 519, 7502, 28739, 268, 2425, 20044, 264, 7151, 281, 715, 284, 11011, 1284, 1205, 2433, 476, 28638, 476, 15389, 476, 31404, 476, 18684, 476, 9818, 476, 20542, 476, 14028, 476, 5379, 277, 476, 22001, 476, 10384, 476, 12573, 476, 11260, 476, 276, 2918, 476, 28091, 476, 278, 3445, 476, 4375, 276, 476, 14093, 277, 476, 6795, 274, 476, 9965, 271, 476, 279, 3445, 476, 275, 3393, 476, 15836, 277, 476, 5780, 279, 476, 31172, 476, 15757, 476, 2004, 273, 476, 25172, 476, 4037, 275, 476, 4391, 278, 476, 13647, 273, 476, 276, 5780, 476, 27543, 476, 25616, 476, 28883, 476, 14096, 277, 476, 277, 4343, 476, 29204, 476, 4817, 279, 476, 5325, 280, 476, 16960, 279, 476, 278, 866, 476, 21497, 279, 476, 13040, 280, 476, 26825, 279, 476, 14065, 280, 476, 4366, 276, 279, 476, 26237, 280, 476, 278, 2764, 279, 476, 3607, 275, 275, 476, 9264, 273, 476, 26605, 476, 24129, 275, 476, 15793, 278, 476, 25148, 273, 476, 13078, 272, 476, 277, 1428, 275, 476, 28906, 278, 476, 280, 2537, 273, 476, 5379, 272, 277, 476, 15996, 279, 476, 12893, 275, 476, 276, 6507, 476, 15876, 273, 476, 279, 5780, 476, 275, 3451, 476, 9873, 271, 476, 20981, 476, 23283, 476, 9032, 277, 476, 4366, 279, 476, 28192, 476, 14338, 476, 8618, 476, 7277, 476, 10844, 476, 5379, 476, 2537, 476, 3583, 476, 3374, 476, 11793, 476, 7871, 476, 8182, 476, 3199, 476, 2412, 476, 736, 476, 1015, 476, 276, 476, 1626, 476, 279, 476, 275, 476, 273, 476, 272, 11192, 281, 10844, 2338, 476, 6795, 616, 1256, 476, 3451, 616, 9642, 22472, 281, 9625, 273, 281, 272, 3267, 621, 568, 849, 5180, 476, 272, 349, 476, 11011, 2608, 476, 274, 317, 3451, 1315, 476, 273, 317, 6795, 2859, 1806, 281, 715, 284, 14530, 5881, 272, 2073, 9642, 281, 476, 3199, 2073, 1256, 281, 476, 13893, 281, 476, 14530, 5881, 272, 265, 274, 317, 3199, 270, 273, 317, 13893, 9625, 272, 630, 271, 269, 279, 907, 264, 476, 13893, 265, 280, 270, 1626, 349, 10037, 954, 725, 630, 3199, 568, 621, 264, 715, 284, 279, 7176, 7176, 280, 8660, 2073, 9642, 281, 476, 7176, 267, 1256, 281, 476, 9264, 715, 265, 274, 317, 7176, 270, 273, 317, 9264, 349, 272, 630, 271, 269, 279, 1862, 264, 476, 9264, 265, 280, 270, 1626, 349, 9083, 954, 725, 630, 476, 7176, 568, 621, 3738, 4706, 1568, 32473, 264, 1230, 743, 1081, 281, 3399, 609, 606, 1297, 715, 543, 519, 3524, 20044, 4422, 547, 476, 275, 267, 273, 267, 272, 267, 1317, 476, 274, 22677, 273, 343, 264, 568, 4130, 982, 476, 273, 22677, 275, 343, 1040, 2334, 729, 1250, 1259, 269, 8729, 269, 7831, 535, 1342, 1194, 609, 676, 7261, 6975, 3055, 593, 476, 1001, 280, 268, 6734, 268, 866, 693, 476, 1724, 281, 5655, 454, 476, 1001, 280, 268, 6734, 268, 866, 267, 476, 1626, 281, 1321, 1948, 274, 10911, 15124, 5264, 7545, 4119, 476, 1220, 277, 476, 3953, 6440, 276, 6440, 278, 6440, 866, 24762, 898, 781, 513, 1434, 646, 22618, 267, 855, 711, 513, 6169, 563, 1001, 280, 268, 6734, 268, 866, 267, 476, 1704, 281, 4029, 5231, 1948, 275, 454, 24426, 6975, 3055, 692, 13202, 476, 1220, 278, 454, 30051, 692, 273, 9943, 14681, 24762, 692, 32621, 912, 20323, 17397, 676, 10911, 15124, 5264, 898, 781, 513, 1434, 646, 22618, 267, 855, 711, 513, 6169, 780, 2080, 267, 594, 786, 1397, 267, 602, 2760, 2196, 513, 3524, 20044, 11995, 27250, 2467, 616, 476, 273, 2009, 2565, 11995, 17787, 780, 5575, 2565, 8520, 281, 901, 2196, 979, 547, 12808, 269, 630, 271, 269, 276, 2608, 476, 274, 2608, 476, 271, 269, 276, 2608, 476, 274, 2608, 1862, 994, 1015, 15010, 1556, 15010, 1015, 15010, 1556, 15010, 1547, 780, 9336, 1297, 715, 284, 275, 330, 266, 273, 7475, 609, 10371, 1015, 454, 9336, 1297, 715, 284, 275, 330, 266, 274, 7475, 609, 10371, 1556, 692, 296, 281, 15595, 557, 621, 267, 547, 1205, 513, 1297, 10371, 1556, 2433, 715, 284, 273, 330, 266, 272, 454, 2862, 281, 274, 301, 266, 272, 621, 2073, 547, 1205, 513, 1297, 10371, 1015, 2433, 715, 284, 277, 330, 266, 275, 454, 7656, 281, 15595, 557, 621, 267, 547, 1205, 513, 1297, 10371, 1556, 2433, 715, 284, 274, 330, 266, 273, 454, 4353, 281, 274, 301, 266, 272, 621, 2073, 547, 1205, 513, 1297, 10371, 1015, 2433, 715, 284, 280, 330, 266, 278, 454, 309, 281, 15595, 557, 621, 267, 547, 1205, 513, 1297, 10371, 1556, 2433, 715, 284, 275, 269, 276, 330, 266, 274, 269, 276, 692, 2467, 616, 476, 275, 12673, 585, 737, 912, 330, 284, 271, 267, 275, 267, 279, 28011, 834, 296, 257, 14543, 267, 1317, 476, 273, 330, 266, 272, 568, 711, 4759, 540, 476, 275, 330, 266, 274, 585, 10678, 10371, 1556, 454, 330, 284, 272, 267, 276, 267, 280, 28011, 834, 309, 257, 14543, 267, 1317, 476, 275, 269, 276, 330, 266, 274, 269, 276, 568, 711, 4759, 540, 476, 275, 330, 266, 274, 585, 10678, 10371, 1556, 454, 330, 284, 273, 267, 277, 267, 1015, 267, 907, 834, 296, 257, 14543, 267, 1317, 476, 273, 330, 266, 272, 568, 711, 4759, 540, 476, 275, 330, 266, 274, 585, 10678, 10371, 1556, 454, 330, 284, 274, 267, 278, 267, 1556, 267, 907, 834, 309, 257, 14543, 267, 1317, 476, 275, 269, 276, 330, 266, 274, 269, 276, 568, 711, 4759, 540, 476, 275, 330, 266, 274, 585, 10678, 10371, 1556, 692, 3383, 267, 621, 568, 1397, 267, 602, 585, 1169, 737, 2760, 2196, 713, 8520, 476, 1015, 268, 1556, 268, 1015, 268, 1556, 547, 12808, 780, 13553, 2565, 8520, 912, 1015, 15010, 4905, 15010, 876, 15010, 1015, 15010, 4905, 15010, 876, 15010, 13718, 1607, 8520, 666, 711, 2196, 547, 12808, 780, 263, 476, 271, 269, 276, 2608, 476, 274, 2608, 476, 271, 269, 276, 2608, 476, 271, 269, 276, 2608, 476, 274, 2608, 23099, 349, 476, 274, 18898, 270, 279, 18898, 264, 9847, 2818, 1205, 513, 4130, 1871, 25589, 476, 1001, 280, 268, 6734, 268, 736, 267, 476, 5400, 281, 2412, 1948, 276, 7261, 6975, 3055, 7545, 3967, 476, 1220, 278, 5125, 476, 273, 9943, 14681, 24762, 2290, 8520, 594, 29709, 476, 274, 6113, 2565, 8520, 281, 901, 666, 979, 547, 12808, 269, 630, 271, 269, 276, 2608, 476, 274, 2608, 476, 271, 269, 276, 2608, 476, 271, 269, 276, 2608, 476, 274, 3267, 264, 476, 1015, 15010, 4905, 15010, 876, 15010, 1015, 15010, 1556, 15010, 1015, 907, 1376, 609, 10371, 1015, 281, 715, 284, 275, 330, 266, 273, 594, 281, 15595, 557, 621, 267, 547, 1205, 513, 1297, 10371, 4905, 2433, 715, 284, 273, 330, 266, 272, 4083, 281, 274, 301, 266, 272, 621, 2073, 547, 1205, 513, 1297, 10371, 876, 2433, 715, 284, 277, 330, 266, 275, 8633, 281, 15595, 557, 621, 267, 547, 1205, 513, 1297, 10371, 1015, 2433, 715, 284, 274, 330, 266, 273, 10001, 281, 15595, 557, 621, 267, 547, 1205, 513, 1297, 10371, 1556, 2433, 715, 284, 272, 269, 276, 330, 266, 272, 966, 281, 274, 301, 266, 272, 621, 267, 547, 1205, 513, 1297, 10371, 1015, 2433, 715, 284, 275, 269, 276, 330, 266, 276, 737, 284, 271, 267, 275, 267, 279, 28011, 834, 309, 257, 14543, 267, 1317, 476, 275, 269, 276, 330, 266, 276, 568, 711, 4759, 540, 476, 275, 330, 266, 273, 585, 10678, 10371, 1015, 737, 284, 272, 267, 276, 267, 280, 28011, 834, 296, 257, 14543, 267, 1317, 476, 273, 330, 266, 272, 568, 711, 4759, 540, 476, 275, 330, 266, 272, 585, 10678, 10371, 4905, 737, 284, 273, 267, 277, 267, 1015, 267, 907, 834, 7656, 257, 14543, 267, 1317, 476, 274, 330, 266, 273, 568, 711, 4759, 540, 476, 275, 330, 266, 273, 585, 10678, 10371, 1015, 737, 284, 274, 267, 278, 267, 1556, 267, 907, 834, 2862, 257, 14543, 267, 1317, 476, 277, 330, 266, 275, 568, 711, 4759, 540, 476, 275, 330, 585, 10678, 10371, 876, 1280, 782, 737, 781, 2073, 713, 8520, 666, 711, 2196, 547, 12808, 269, 12834, 281, 2009, 12242, 4999, 9847, 1310, 7502, 28739, 6042, 10371, 876, 9847, 10371, 876, 610, 10371, 1015, 10371, 4905, 9847, 10371, 876, 10371, 1015, 9847, 10371, 4905, 610, 10371, 1556, 10371, 1556, 9847, 10371, 1015, 1703, 616, 476, 273, 2565, 17787, 1141, 811, 2799, 1614, 19507, 982, 10300, 1386, 269, 630, 935, 1288, 585, 3768, 1652, 2196, 264, 1452, 616, 281, 8520, 476, 272, 281, 630, 271, 269, 276, 2608, 476, 274, 2608, 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 ]

[ 25664, 566, 16877, 721, 547, 6330, 1950, 5717, 1472, 11786, 3584, 609, 3152, 9355, 543, 8417, 269, 1306, 2104, 7855, 267, 14519, 267, 543, 2146, 3401, 267, 3384, 891, 1983, 5849, 602, 649, 2611, 3743, 6800, 543, 12696, 540, 1702, 269, 3414, 2673, 2542, 543, 2079, 540, 5402, 5697, 15102, 267, 1053, 786, 11349, 606, 4656, 540, 519, 1379, 3297, 1913, 543, 10244, 713, 2702, 547, 3895, 1930, 5188, 543, 13784, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 11328, 1613, 609, 7732, 10615, 936, 27127, 4919, 543, 8763, 28305, 5399, 2835, 585, 1453, 543, 14038, 269, 4173, 4267, 1058, 8710, 596, 563, 307, 22736, 547, 2576, 609, 513, 4625, 1114, 5837, 22315, 563, 1607, 568, 1946, 938, 3506, 543, 1857, 8021, 616, 519, 1259, 789, 616, 563, 288, 21717, 15211, 883, 519, 23720, 6019, 5398, 7732, 538, 16500, 30592, 267, 654, 312, 563, 5415, 543, 811, 3237, 616, 4466, 30443, 573, 27127, 4919, 543, 8642, 28305, 543, 19574, 2835, 538, 519, 1453, 779, 543, 12322, 685, 6810, 540, 1857, 8021, 543, 1153, 8021, 269, 901, 3085, 1406, 4755, 676, 8009, 269, 1548, 2186, 540, 1004, 616, 4881, 891, 8021, 888, 2026, 649, 4076, 4080, 267, 513, 1906, 3275, 3516, 3237, 538, 16500, 30592, 267, 29131, 8068, 513, 3395, 1297, 540, 5393, 25848, 2940, 2835, 538, 519, 1453, 779, 543, 12322, 6810, 540, 741, 2199, 7936, 540, 519, 23720, 6019, 5398, 7732, 269, 4595, 1287, 789, 723, 21947, 741, 11221, 8387, 1896, 2053, 543, 3262, 519, 2262, 2066, 4884, 563, 4002, 11728, 267, 20029, 269, 476, 1724, 267, 835, 540, 519, 2199, 29131, 7136, 4910, 2700, 15628, 267, 645, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 17504, 14893, 543, 1230, 2254, 566, 257, 607, 851, 540, 834, 28765, 22723, 13493, 1315, 5678, 8551, 1315, 18500, 1299, 26538, 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, 476, 274, 269, 274, 6201, 540, 2657, 2598, 1706, 885, 538, 5753, 692, 2026, 649, 5490, 4514, 883, 1620, 1453, 781, 1072, 13103, 267, 621, 568, 2629, 547, 4983, 1808, 1806, 547, 9787, 519, 10335, 543, 6988, 540, 891, 2152, 269, 901, 3296, 786, 2263, 1585, 1072, 13103, 4810, 676, 1453, 538, 519, 2136, 2276, 267, 2519, 593, 2127, 971, 607, 10447, 267, 8377, 267, 2790, 1072, 267, 5711, 1072, 267, 543, 1569, 547, 1416, 269, 1284, 786, 1865, 519, 9860, 267, 1981, 2188, 267, 4539, 267, 543, 1761, 7459, 585, 1142, 2783, 780, 22349, 8676, 692, 6097, 547, 519, 15544, 585, 8376, 6513, 543, 10644, 630, 24922, 1070, 5111, 476, 276, 269, 276, 2929, 1453, 896, 476, 1240, 1296, 2025, 7985, 689, 10447, 267, 8204, 827, 476, 278, 260, 540, 782, 1977, 3214, 630, 24922, 267, 476, 1708, 272, 1040, 8330, 8676, 25409, 5540, 1978, 5095, 267, 609, 2362, 3928, 4767, 1851, 1875, 6953, 529, 13732, 4563, 543, 17104, 1453, 3379, 547, 741, 1875, 6953, 529, 13732, 3043, 13413, 630, 8201, 476, 272, 6393, 32391, 2188, 585, 6689, 10447, 1331, 1970, 4332, 2597, 267, 4598, 547, 10269, 8673, 267, 23480, 267, 2011, 5533, 267, 543, 4057, 8027, 2175, 630, 24154, 21838, 1696, 620, 1421, 476, 1001, 275, 282, 4258, 978, 1696, 620, 1421, 476, 1001, 280, 1040, 1452, 4220, 1419, 12440, 1369, 27797, 2950, 1813, 547, 1514, 21876, 540, 1072, 971, 607, 6710, 267, 3908, 2069, 3255, 267, 543, 3668, 540, 10097, 3782, 269, 9182, 267, 4049, 10447, 6285, 666, 1267, 538, 6413, 3074, 610, 1256, 2669, 267, 12615, 908, 4540, 1072, 31716, 780, 2414, 2232, 713, 3390, 267, 1857, 1072, 7341, 1590, 1445, 593, 4227, 2825, 23927, 998, 3609, 2242, 6322, 693, 5355, 11255, 543, 9205, 2011, 2298, 267, 5009, 7296, 29696, 267, 543, 7393, 8027, 4441, 269, 5015, 267, 2810, 4656, 827, 10447, 2359, 2994, 267, 1519, 1697, 6646, 6165, 543, 9594, 21084, 267, 1223, 948, 11574, 922, 1764, 593, 4299, 1453, 780, 11917, 7295, 692, 21609, 3125, 8377, 814, 6603, 15435, 17114, 538, 519, 2475, 267, 7133, 5176, 476, 1691, 2929, 6107, 9907, 476, 273, 268, 866, 1296, 2025, 630, 295, 2297, 1696, 620, 1421, 476, 1001, 280, 1040, 25667, 3928, 8428, 3648, 2066, 7292, 543, 6803, 2516, 267, 609, 2362, 9860, 2938, 1851, 17104, 543, 6348, 6953, 529, 13732, 4563, 1453, 3379, 547, 6348, 6953, 529, 13732, 6519, 1453, 630, 8201, 476, 273, 6393, 763, 3123, 540, 6689, 8377, 616, 12947, 716, 3645, 267, 5473, 4719, 32739, 267, 14432, 8192, 3270, 267, 25161, 2623, 267, 13385, 3207, 267, 543, 14227, 2188, 630, 298, 7568, 1731, 1299, 918, 2033, 22894, 267, 476, 1001, 277, 1040, 8899, 13867, 3885, 3068, 3606, 2591, 1644, 547, 1426, 24301, 1107, 2127, 1141, 4195, 3132, 543, 14312, 3681, 616, 17077, 1107, 3056, 547, 2799, 4616, 540, 17811, 1673, 1619, 267, 9268, 3536, 269, 3958, 267, 6725, 12485, 13389, 12102, 2950, 3565, 547, 14432, 4189, 6208, 543, 2417, 28511, 1072, 13103, 780, 11328, 6761, 5466, 6689, 8377, 2154, 3102, 4485, 21214, 1153, 21195, 5059, 593, 6484, 2069, 267, 4824, 8244, 540, 2635, 1426, 5079, 267, 2922, 5054, 20009, 547, 2168, 2534, 267, 543, 4507, 5885, 20418, 22612, 543, 8653, 269, 5047, 267, 21769, 1063, 2146, 3906, 267, 3506, 267, 3782, 7426, 267, 543, 14519, 616, 1898, 547, 2327, 4264, 3356, 2509, 14874, 1072, 13103, 2404, 609, 8377, 780, 26045, 2657, 692, 14399, 781, 2790, 1072, 4713, 13822, 513, 1713, 2707, 540, 1072, 13103, 267, 7133, 909, 547, 835, 538, 2947, 2475, 6107, 12422, 630, 30560, 1731, 836, 553, 1696, 620, 1421, 476, 1001, 271, 1040, 28239, 4713, 267, 4160, 4713, 267, 3007, 17211, 30759, 4524, 630, 4696, 8461, 1070, 10295, 8552, 4524, 630, 32359, 1070, 543, 26688, 5615, 2099, 1455, 21904, 630, 8110, 537, 1696, 620, 1421, 476, 1001, 274, 1040, 25214, 12790, 5095, 267, 1519, 11806, 266, 6107, 267, 7087, 4892, 267, 3979, 4892, 267, 5824, 657, 267, 543, 7489, 4892, 1995, 3152, 7496, 547, 2790, 1072, 2533, 982, 824, 15295, 2516, 630, 14503, 2803, 1696, 620, 1421, 476, 1708, 271, 6393, 1805, 7950, 4478, 2790, 4576, 267, 2686, 4978, 267, 1893, 3604, 267, 7130, 267, 2883, 10148, 267, 543, 22520, 540, 15520, 19579, 19353, 17225, 12905, 1569, 547, 3617, 1416, 630, 310, 836, 1696, 620, 1421, 476, 1220, 276, 1040, 25613, 328, 30938, 543, 15860, 2790, 1072, 2152, 1282, 2565, 11095, 5712, 666, 11874, 1860, 4081, 2773, 267, 9263, 3347, 267, 543, 2104, 7694, 16548, 267, 3976, 17923, 9979, 540, 19319, 780, 292, 742, 2176, 547, 2569, 2790, 1072, 13103, 4125, 9750, 6142, 3795, 267, 10128, 2790, 1072, 2533, 883, 3119, 1416, 5468, 267, 2866, 7855, 543, 12963, 2103, 538, 2038, 8446, 543, 6304, 267, 543, 5807, 6043, 3842, 2963, 2861, 6604, 3292, 269, 4980, 12147, 6213, 2326, 543, 2200, 3358, 547, 3309, 2950, 666, 849, 3895, 4656, 267, 6278, 267, 543, 12802, 538, 2126, 780, 302, 1537, 2657, 692, 8601, 1373, 7361, 28824, 267, 5959, 1286, 625, 3788, 519, 1034, 1455, 5312, 2068, 1851, 2475, 1453, 267, 3226, 1346, 689, 1970, 13867, 10820, 630, 291, 6614, 1696, 620, 1421, 476, 1001, 280, 1040, 13780, 4204, 267, 936, 3368, 540, 782, 1453, 630, 720, 476, 273, 268, 1556, 264, 723, 1185, 19659, 267, 609, 811, 14733, 13103, 4767, 1851, 17104, 543, 1875, 6953, 529, 13732, 3109, 1453, 630, 8201, 476, 274, 6393, 21574, 13205, 547, 7850, 5711, 3782, 1331, 1942, 267, 6283, 7965, 267, 3908, 8502, 8244, 267, 543, 15366, 8456, 4724, 5959, 1416, 630, 10955, 601, 7322, 1299, 932, 4883, 267, 476, 1001, 276, 1040, 769, 1228, 12930, 14806, 9179, 267, 4006, 2000, 23565, 11326, 267, 543, 4057, 5711, 9882, 2853, 849, 3565, 547, 11506, 1286, 625, 9860, 269, 772, 660, 8972, 9178, 666, 1291, 547, 1928, 267, 3968, 267, 22926, 267, 4633, 15641, 9323, 267, 543, 15176, 1582, 12635, 267, 6038, 7133, 2949, 8171, 543, 4081, 1967, 780, 25618, 625, 547, 10994, 5711, 1072, 13103, 2874, 540, 7598, 1216, 14806, 9179, 3292, 267, 3246, 27083, 32158, 9309, 618, 26027, 585, 5959, 5773, 267, 5356, 1153, 2861, 13021, 656, 3156, 267, 543, 6220, 5711, 1072, 3334, 883, 6296, 2564, 2638, 5725, 269, 7991, 23793, 3646, 10771, 23833, 3800, 267, 971, 607, 17678, 2553, 267, 2732, 12381, 267, 543, 2834, 5959, 11564, 267, 3180, 9153, 585, 32560, 10616, 538, 5711, 1072, 4093, 780, 16966, 547, 5516, 692, 15563, 267, 21376, 1569, 547, 3782, 8309, 3648, 547, 1072, 13103, 4810, 676, 1453, 269, 11790, 12018, 1569, 1331, 26622, 267, 10923, 16133, 267, 10409, 6677, 867, 766, 267, 2686, 17356, 267, 543, 3972, 538, 519, 1062, 630, 4517, 3205, 1696, 620, 1421, 476, 1220, 274, 1040, 1133, 1231, 3293, 543, 896, 1231, 3293, 1453, 616, 1447, 2693, 547, 4309, 2556, 2564, 1416, 267, 3056, 547, 16607, 5868, 543, 2126, 540, 8650, 543, 5312, 2175, 630, 10870, 1156, 1696, 620, 1421, 476, 1001, 280, 6393, 22091, 21505, 27083, 25046, 267, 6908, 23164, 27350, 3157, 267, 10996, 643, 1944, 7589, 538, 5313, 6351, 3292, 267, 543, 4180, 12581, 3892, 540, 3782, 6703, 616, 4105, 3268, 4724, 993, 601, 1640, 908, 13103, 5532, 547, 1569, 547, 1416, 269, 17791, 25924, 10124, 1459, 606, 4316, 585, 6552, 15360, 267, 7175, 3914, 883, 9207, 5703, 4525, 543, 29103, 1359, 3461, 4491, 3187, 2792, 780, 6962, 692, 18698, 1483, 8996, 1806, 540, 1072, 13103, 32514, 919, 875, 7293, 2188, 2170, 609, 1367, 7400, 4162, 547, 3337, 1126, 1072, 4093, 269, 18601, 891, 1950, 2152, 7569, 1617, 850, 767, 7459, 13389, 3597, 3123, 267, 8151, 689, 12550, 8397, 4507, 17935, 547, 2087, 2713, 2175, 543, 9004, 25641, 2853, 547, 2890, 7400, 3527, 7393, 4791, 13341, 543, 2123, 16882, 269, 1635, 14237, 6568, 543, 1620, 267, 2104, 4648, 8149, 547, 9698, 666, 6536, 513, 811, 1175, 2486, 1141, 1169, 1126, 29263, 7488, 540, 4282, 610, 3961, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 8139, 5753, 781, 2657, 2598, 1706, 885, 257, 5497, 585, 2852, 1053, 563, 2171, 723, 2907, 4988, 3184, 4433, 264, 834, 272, 269, 4985, 2580, 834, 273, 269, 4317, 543, 2804, 2188, 7133, 1453, 781, 1072, 257, 543, 616, 1631, 1603, 513, 3184, 593, 834, 274, 269, 17796, 540, 1072, 13103, 538, 1453, 8487, 2171, 723, 2907, 4988, 519, 1739, 1016, 26972, 538, 519, 1699, 3184, 281, 834, 274, 269, 272, 269, 11137, 540, 1072, 13103, 538, 1453, 538, 519, 772, 2529, 1701, 267, 834, 274, 269, 273, 269, 4317, 543, 2804, 2188, 7700, 547, 1072, 13103, 8487, 2237, 519, 1007, 1016, 15492, 11331, 834, 274, 269, 274, 269, 6201, 540, 1072, 13103, 538, 1453, 257, 1247, 3843, 547, 581, 912, 268, 21004, 910, 596, 1711, 4101, 9499, 602, 3382, 519, 1570, 538, 3178, 563, 268, 12056, 910, 707, 9499, 723, 513, 2239, 9095, 543, 2502, 3159, 267, 899, 519, 1603, 540, 7812, 11066, 563, 268, 11930, 910, 596, 946, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 8855, 547, 1118, 1543, 6098, 693, 2852, 1053, 267, 945, 949, 723, 930, 13654, 1702, 855, 616, 711, 4966, 538, 519, 2361, 269, 634, 1570, 1058, 581, 2143, 543, 2219, 4538, 269, 0, 634, 4055, 729, 4904, 609, 606, 2011, 540, 24736, 607, 519, 8470, 1235, 3576, 741, 16295, 593, 3942, 269, 634, 15645, 1807, 267, 513, 19023, 19784, 3957, 23718, 267, 1350, 2331, 1472, 519, 3349, 267, 1818, 2386, 1200, 14538, 941, 6899, 1354, 1352, 3459, 269, 834, 299, 611, 625, 543, 9543, 5443, 2437, 1352, 3459, 267, 5466, 519, 14095, 2912, 3218, 1756, 267, 834, 933, 616, 1934, 2221, 547, 1865, 519, 1764, 602, 3872, 5238, 723, 1185, 593, 519, 2208, 543, 1646, 540, 1585, 6080, 543, 2804, 3255, 538, 1114, 4525, 3010, 2026, 519, 3365, 1021, 5747 ]

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

[ 267, 513, 2631, 540, 3354, 543, 5610, 538, 2199, 2950, 519, 1732, 454, 303, 2350, 320, 973, 20044, 578, 3570, 1315, 9263, 24595, 1957, 454, 293, 3796, 538, 713, 6221, 454, 763, 1739, 12689, 6119, 616, 2404, 609, 713, 6221, 281, 0, 303, 3326, 13541, 24975, 5444, 2095, 538, 543, 1851, 4610, 540, 620, 325, 2788, 320, 3812, 585, 6079, 454, 289, 1195, 548, 267, 715, 7614, 773, 918, 4275, 454, 18404, 20631, 17004, 2407, 6221, 2594, 454, 15899, 1790, 3326, 1588, 676, 10987, 568, 2556, 585, 5010, 620, 325, 2788, 320, 6079, 2504, 269, 1677, 2226, 1083, 13926, 19454, 538, 620, 325, 2788, 320, 267, 6079, 12696, 15666, 547, 8901, 10072, 4441, 547, 7413, 610, 2061, 13520, 8184, 543, 7766, 14947, 2095, 1063, 4610, 269, 634, 2799, 946, 540, 16220, 268, 19956, 1229, 630, 12283, 264, 7031, 538, 6683, 814, 6659, 4145, 936, 3542, 13541, 24975, 5444, 2095, 1063, 1098, 28193, 543, 6671, 6694, 8677, 269, 634, 476, 1001, 272, 632, 28832, 540, 16220, 22041, 9848, 874, 657, 622, 15033, 620, 325, 2788, 320, 676, 519, 22340, 814, 6383, 1857, 6161, 543, 3621, 7521, 936, 1699, 5227, 13520, 2359, 2853, 543, 741, 2702, 547, 2226, 1083, 13926, 19454, 540, 620, 325, 2788, 320, 6738, 585, 6079, 2504, 269, 634, 3119, 6662, 540, 713, 1382, 568, 547, 3313, 519, 5107, 602, 25199, 1404, 538, 7700, 547, 19888, 1600, 5444, 2095, 1063, 620, 325, 2788, 320, 4610, 269, 2171, 11117, 519, 1764, 540, 27436, 13520, 15209, 2853, 593, 1098, 28193, 14947, 2095, 1063, 22883, 6053, 9678, 620, 325, 2788, 320, 4610, 676, 28498, 9932, 10987, 267, 7442, 529, 20649, 32070, 267, 547, 16175, 28532, 2390, 1098, 28193, 620, 325, 2788, 320, 32395, 267, 543, 24317, 873, 476, 12208, 5998, 547, 28532, 593, 524, 3042, 6671, 620, 325, 2788, 320, 1739, 2901, 476, 279, 610, 476, 3953, 3108, 540, 10072, 689, 519, 1098, 28193, 2707, 269, 9061, 1790, 3326, 1588, 1063, 1098, 28193, 543, 6671, 620, 325, 2788, 320, 729, 5176, 17515, 630, 271, 269, 1822, 5400, 8472, 1739, 5216, 3108, 540, 10072, 689, 519, 1098, 28193, 2707, 269, 634, 620, 325, 2788, 320, 6978, 12827, 1154, 13520, 267, 23729, 778, 850, 4232, 1495, 1092, 630, 3201, 290, 289, 1070, 568, 1776, 20749, 7307, 3542, 13541, 1031, 14916, 538, 620, 325, 2788, 320, 26853, 269, 1284, 11117, 519, 3310, 540, 519, 9338, 290, 289, 593, 5444, 2095, 1063, 23817, 543, 6671, 620, 325, 2788, 320, 6079, 4610, 676, 4152, 585, 519, 4527, 540, 519, 23817, 16023, 538, 14947, 14074, 6394, 689, 2531, 545, 3796, 4092, 538, 6671, 620, 325, 2788, 320, 6079, 4610, 12630, 2047, 11105, 547, 23817, 620, 325, 2788, 320, 4610, 269, 2717, 6352, 5439, 6394, 689, 2531, 545, 3796, 538, 6671, 6079, 4610, 941, 693, 4756, 9883, 689, 519, 11105, 23817, 4610, 269, 1325, 325, 2788, 320, 6079, 538, 519, 25610, 540, 1142, 2531, 545, 850, 729, 19122, 543, 7318, 585, 519, 1098, 2102, 324, 269, 1284, 1336, 602, 519, 9338, 290, 289, 4749, 585, 1137, 693, 9883, 799, 9765, 1699, 9193, 585, 9338, 290, 289, 25061, 2039, 269, 3958, 267, 23817, 16023, 4082, 538, 19122, 6671, 6079, 729, 9571, 693, 3928, 602, 20546, 3964, 29676, 585, 1083, 13926, 19454, 269, 2725, 553, 9092, 5222, 540, 9338, 290, 289, 24975, 14947, 2095, 941, 9672, 543, 666, 581, 1031, 547, 1217, 2257, 3609, 3823, 519, 1646, 540, 1655, 2359, 2853, 19086, 19888, 1600, 5444, 2095, 1063, 16220, 3982, 620, 325, 2788, 320, 8677, 269, 0, 10303, 540, 741, 11606, 267, 741, 512, 13116, 4763, 543, 741, 5266, 3551, 1349, 1464, 267, 29712, 3941, 723, 513, 1761, 607, 513, 21285, 585, 519, 6211, 2783, 540, 11934, 543, 21439, 269, 1924, 2484, 519, 1761, 540, 713, 1895, 568, 3768, 699, 343, 680, 334, 1243, 585, 5631, 2930, 4128, 282, 519, 18784, 2079, 540, 29712, 1712, 31174, 1137, 568, 11668, 14021, 543, 3340, 3573, 6791, 269, 2060, 519, 8244, 540, 5266, 1804, 7636, 10850, 267, 621, 2968, 2009, 547, 1374, 7636, 29508, 602, 1450, 585, 519, 11050, 2079, 540, 1367, 26908, 1996, 1950, 5027, 10080, 269, 26592, 630, 336, 264, 19738, 29508, 941, 1031, 547, 2263, 8901, 3892, 3270, 540, 476, 3393, 1367, 26908, 630, 520, 1920, 267, 12593, 543, 2249, 1377, 264, 2066, 519, 13814, 693, 8544, 657, 7051, 630, 7120, 610, 2361, 1107, 4336, 7516, 281, 476, 272, 1107, 476, 272, 267, 1822, 544, 1040, 29425, 941, 4092, 538, 1079, 1949, 630, 333, 710, 27442, 1076, 4610, 543, 1614, 26377, 609, 1164, 2030, 4763, 264, 543, 1614, 3037, 2010, 630, 3405, 710, 10036, 267, 5757, 10036, 543, 5070, 1040, 769, 1142, 2361, 476, 1911, 12432, 5439, 941, 6394, 676, 1210, 513, 10386, 7470, 630, 1911, 1535, 476, 1911, 332, 264, 20979, 585, 2520, 739, 520, 2065, 2079, 269, 3962, 3732, 630, 333, 3436, 272, 267, 1220, 264, 729, 9916, 609, 827, 476, 1839, 910, 476, 1789, 29712, 1712, 3454, 517, 1808, 7636, 29508, 269, 769, 2698, 936, 476, 3374, 267, 1822, 7117, 303, 10135, 6547, 941, 2196, 269, 32085, 3270, 540, 29712, 1712, 26908, 941, 25528, 676, 1210, 21091, 715, 6479, 5487, 2897, 20976, 11582, 630, 2562, 6369, 264, 538, 4999, 609, 2520, 739, 520, 6750, 9781, 269, 623, 2255, 1465, 1522, 581, 1644, 547, 2901, 29712, 1712, 7592, 267, 971, 607, 8023, 4640, 267, 1560, 2450, 543, 3935, 6500, 1790, 619, 3563, 630, 322, 1790, 264, 4336, 267, 610, 519, 4162, 540, 519, 1604, 267, 971, 607, 1062, 267, 3037, 1826, 543, 824, 705, 8438, 2175, 269, 634, 2164, 602, 786, 581, 4843, 1397, 513, 1390, 8390, 538, 3892, 3270, 1851, 29712, 1712, 26908, 267, 711, 1152, 593, 519, 4493, 540, 741, 7592, 855, 849, 1759, 593, 2825, 4162, 269, 1452, 1239, 616, 1898, 585, 519, 1374, 540, 23963, 3280, 10386, 14565, 585, 29712, 3941, 538, 6694, 543, 2067, 3037, 693, 20267, 732, 4336, 543, 1657, 563, 347, 26397, 4567, 1475, 13775, 910, 476, 1001, 277, 2008, 347, 30631, 1475, 3953, 526, 32600, 3864, 5980, 540, 715, 14670, 6048, 910, 10713, 573, 1228, 798, 3687, 14833, 267, 645, 4048, 320, 267, 17577, 2008, 291, 4851, 281, 476, 2764, 4119, 476, 1001, 277, 9890, 476, 272, 9484, 476, 1001, 277, 454, 347, 3519, 12401, 1475, 3953, 526, 32600, 3864, 5980, 540, 715, 14670, 6048, 2008, 347, 20540, 1475, 2764, 270, 5400, 270, 1626, 9890, 476, 272, 270, 6021, 270, 1626, 2008, 5226, 626, 267, 595, 269, 654, 1421, 717, 677, 267, 717, 1421, 631, 5622, 6359, 2006, 267, 623, 269, 808, 269, 654, 1421, 8709, 3954, 661, 3149, 523, 267, 590, 269, 808, 269, 808, 1421, 26883, 267, 667, 269, 808, 1421, 25234, 12027, 267, 808, 1421, 1299, 4477, 1457, 267, 808, 269, 630, 1001, 277, 1040, 26346, 11837, 540, 8901, 3892, 3270, 540, 18714, 29712, 3941, 693, 5251, 4336, 8761, 3982, 267, 3235, 10999, 4143, 3270, 269, 476, 12893, 268, 12893, 269, 17593, 689, 476, 3953, 526, 32600, 3864, 5980, 540, 715, 14670, 6048, 267, 645, 4048, 320, 267, 17577, 269, 0, 2207, 303, 1796, 585, 27617, 12754, 4058, 269, 661, 14641, 568, 606, 6355, 2359, 12229, 267, 7577, 946, 713, 585, 1732, 5883, 741, 1870, 3252, 269, 661, 14641, 5004, 12229, 568, 1031, 547, 1118, 707, 1870, 11327, 543, 1134, 6896, 11783, 661, 14641, 3301, 568, 10416, 946, 547, 1544, 1585, 1870, 1599, 899, 8605, 12020, 267, 19007, 267, 16373, 543, 6455, 267, 22802, 5004, 543, 1744, 6235, 1299, 32237, 563, 2207, 303, 12229, 568, 606, 7471, 2070, 540, 4295, 1870, 3157, 267, 1419, 538, 1483, 942, 1210, 5150, 21438, 6538, 269, 661, 14641, 3950, 782, 1870, 2200, 268, 6666, 267, 6151, 2326, 267, 2504, 4390, 267, 6718, 543, 1082, 811, 269, 3367, 2859, 0, 1607, 568, 513, 16590, 856, 540, 519, 19545, 281, 27284, 5900, 22326, 11150, 912, 16391, 1436, 281, 769, 513, 2361, 630, 1321, 332, 343, 2190, 332, 264, 568, 1373, 5129, 476, 275, 642, 476, 275, 7132, 476, 274, 9243, 5716, 609, 519, 2832, 547, 3180, 519, 3440, 607, 1279, 607, 2009, 269, 2290, 9243, 6345, 568, 13883, 538, 519, 2361, 267, 1247, 519, 1079, 1866, 19582, 519, 2110, 5011, 269, 1403, 519, 3440, 3762, 519, 2361, 267, 519, 16455, 12857, 513, 1007, 3440, 563, 10870, 2286, 281, 4414, 13290, 547, 3180, 1378, 3440, 15896, 607, 1279, 607, 2009, 269, 1403, 835, 540, 519, 3544, 25178, 619, 568, 538, 3440, 15896, 267, 589, 543, 645, 2990, 4922, 269, 1403, 1631, 519, 9243, 6345, 645, 7158, 538, 519, 4099, 630, 553, 513, 4099, 4571, 325, 1408, 1457, 1070, 519, 4544, 5716, 786, 581, 6410, 607, 1454, 856, 540, 519, 7623, 602, 519, 7934, 1780, 568, 2009, 547, 1404, 269, 1403, 519, 4099, 568, 4988, 267, 621, 1223, 581, 8118, 936, 589, 610, 645, 269, 4438, 519, 2417, 1404, 267, 519, 2298, 540, 645, 568, 18796, 267, 945, 1223, 581, 16091, 689, 782, 8846, 538, 519, 4099, 269, 1677, 1832, 9350, 543, 547, 2212, 585, 513, 1863, 8429, 4781, 1915, 3278, 713, 6345, 563, 23325, 1219, 1742, 538, 513, 10230, 19319, 269, 634, 1101, 17872, 1899, 589, 543, 645, 11604, 1079, 585, 2072, 267, 945, 991, 547, 9718, 1996, 513, 9120, 1297, 540, 5716, 630, 553, 585, 1383, 513, 1394, 1899, 540, 476, 274, 610, 476, 275, 5716, 1040, 1358, 18448, 10596, 998, 519, 4099, 543, 1463, 519, 6285, 936, 519, 13617, 1790, 657, 1431, 269, 589, 2744, 540, 519, 3440, 568, 593, 519, 7158, 595, 543, 667, 10853, 269, 595, 543, 667, 616, 538, 20772, 547, 15936, 10596, 547, 595, 543, 667, 269, 3004, 1441, 568, 519, 6099, 3845, 547, 519, 5732, 5293, 547, 18545, 269, 595, 543, 667, 4927, 9444, 1796, 547, 2673, 630, 26132, 18545, 1131, 711, 581, 5293, 547, 1070, 6862, 1932, 2484, 6306, 630, 16269, 1131, 711, 581, 2111, 547, 4283, 513, 546, 3241, 1916, 1700, 570, 716, 673, 14362, 454, 1700, 5811, 540, 32163, 725, 538, 519, 10794, 454, 1700, 589, 7352, 1214, 540, 13756, 543, 1215, 547, 3213, 778, 23067, 454, 12041, 281, 24697, 570, 675, 330, 630, 5976, 948, 543, 7139, 4084, 676, 681, 2788, 8834, 264, 3798, 1243, 676, 8834, 5576, 516, 10719, 3690, 3836, 676, 281, 570, 329, 12643, 523, 2142, 14982, 15503, 281, 4659, 540, 15272, 13558, 267, 3647, 523, 267, 5125, 630, 4178, 4732, 665, 1356, 18396, 2851, 2593, 994, 1492, 13558, 3766, 877, 2221, 568, 607, 2938, 689, 513, 17872, 1448, 540, 2070, 267, 8032, 676, 519, 3440, 11399, 1304, 730, 21108, 269, 634, 17872, 5832, 540, 2185, 5716, 568, 711, 1256, 538, 519, 2539, 682, 8046, 513, 14815, 15042, 269, 28805, 547, 1404, 16756, 543, 3976, 267, 519, 22215, 1404, 568, 1500, 811, 2352, 269, 4475, 267, 621, 568, 1271, 547, 1711, 2994, 1996, 9395, 17872, 21272, 269, 1809, 1256, 10427, 22215, 2994, 1152, 1599, 952, 1978, 4909, 3741, 616, 1134, 2919, 269, 661, 2381, 1836, 1271, 585, 713, 3483, 568, 621, 547, 15931, 569, 1930, 543, 946, 5624, 543, 8429, 2000, 6951, 269, 901, 2882, 1367, 2930, 1983, 543, 5759, 607, 1134, 607, 513, 2919, 543, 13988, 1895, 2389, 716, 673, 2623, 563, 763, 2856, 3297, 713, 26496, 281, 9122, 593, 17386, 6474, 1606, 15856, 725, 267, 3435, 786, 581, 4843, 799, 666, 581, 8036, 538, 1507, 2516, 607, 1134, 607, 538, 513, 1950, 3635, 563, 296, 3357, 547, 917, 24697, 570, 675, 330, 607, 513, 1762, 16805, 16455, 269, 898, 729, 1250, 12257, 547, 948, 1864, 14291, 519, 2856, 543, 18913, 1864, 609, 519, 5137, 540, 713, 26496, 269, 898, 3568, 543, 2488, 1702, 540, 28365, 9382, 543, 10694, 5751, 26729, 585, 19393, 540, 782, 2157, 563, 2171, 4126, 602, 519, 26496, 8309, 547, 519, 6454, 540, 707, 2319, 779, 2773, 269, 0, 7374, 338, 1299, 23861, 338, 454, 20007, 2294, 602, 723, 1044, 3254, 547, 2087, 1453, 779, 1582, 12635, 267, 2566, 2157, 267, 543, 1565, 1761, 1331, 7244, 5751, 267, 11636, 4887, 11005, 267, 2241, 21018, 267, 14751, 566, 267, 543, 2318, 14839, 269, 4039, 1314, 566, 2553, 666, 5818, 1453, 781, 1582, 12635, 267, 607, 1134, 607, 4758, 873, 2645, 547, 11883, 609, 2566, 543, 4160, 267, 543, 10845, 2359, 269, 25990, 568, 1034, 1419, 1031, 607, 513, 1259, 547, 2569, 2566, 267, 2087, 1582, 12635, 267, 543, 1205, 7759, 540, 1022, 2942, 610, 27676, 4555, 910, 6028, 811, 4055, 585, 25273, 267, 5876, 543, 2123, 2208, 256, 24238, 2553, 723, 1044, 3254, 547, 2087, 1453, 779, 5834, 543, 6947, 1983, 267, 607, 1134, 607, 20993 ]

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

[ 3347, 609, 1920, 267, 543, 6126, 22888, 630, 29662, 1457, 1157, 1299, 28563, 342, 8636, 267, 476, 1001, 276, 1040, 769, 519, 22984, 540, 14784, 952, 596, 7747, 606, 4587, 1268, 596, 786, 8275, 602, 789, 27464, 2312, 540, 12416, 543, 11991, 22195, 269, 5369, 10999, 789, 31028, 689, 519, 14784, 269, 3733, 3993, 3081, 621, 1655, 267, 968, 296, 2451, 1317, 519, 3377, 786, 723, 621, 593, 693, 476, 276, 281, 876, 8325, 543, 972, 568, 1100, 991, 585, 803, 547, 581, 538, 519, 1647, 540, 4896, 779, 3190, 6100, 634, 4641, 3297, 602, 267, 543, 1832, 538, 2247, 713, 568, 585, 4376, 602, 1223, 7654, 2049, 538, 519, 1158, 649, 2661, 538, 2221, 267, 1352, 568, 1318, 547, 2196, 1631, 543, 2307, 2055, 2663, 563, 310, 529, 3256, 568, 513, 8825, 3815, 602, 1223, 11126, 606, 11361, 1367, 779, 1072, 543, 6043, 269, 27067, 568, 3850, 13951, 547, 798, 519, 1318, 3364, 585, 741, 2247, 267, 1560, 267, 543, 6891, 1256, 950, 1100, 835, 568, 8384, 269, 1280, 1383, 267, 7326, 568, 16706, 707, 7633, 543, 6091, 538, 1931, 585, 873, 711, 547, 1205, 13888, 543, 11213, 269, 27067, 568, 4189, 2635, 269, 27067, 568, 2921, 1416, 540, 3054, 950, 649, 616, 1762, 538, 1931, 585, 938, 4703, 547, 9684, 721, 950, 621, 9428, 2025, 269, 27067, 521, 519, 1318, 3364, 547, 798, 267, 855, 649, 782, 6560, 609, 621, 3232, 269, 0, 292, 24294, 10577, 723, 1831, 851, 540, 1004, 779, 2729, 2221, 563, 292, 24294, 10577, 2097, 538, 1082, 3029, 543, 5372, 2757, 13189, 563, 763, 11495, 3017, 6013, 538, 519, 1570, 540, 519, 13189, 267, 12077, 3167, 13189, 602, 946, 5277, 610, 5277, 538, 741, 13189, 267, 543, 6671, 13189, 602, 946, 10269, 563, 7212, 1114, 267, 891, 1079, 2010, 540, 13189, 723, 513, 2942, 1764, 593, 1560, 1072, 563, 2080, 779, 519, 2407, 4901, 563, 324, 24294, 12076, 5288, 16906, 454, 292, 24294, 10577, 723, 1044, 1472, 2094, 519, 476, 4350, 271, 338, 267, 2687, 547, 7082, 14223, 2516, 585, 7296, 29696, 8925, 563, 1103, 2487, 1296, 267, 519, 6228, 540, 552, 24294, 10577, 610, 552, 24294, 10577, 814, 5051, 13631, 1857, 3007, 563, 1103, 519, 2344, 540, 552, 24294, 10577, 267, 552, 24294, 10577, 267, 11517, 9088, 267, 11517, 9088, 267, 552, 24294, 10577, 267, 5907, 23238, 267, 5907, 15559, 267, 2123, 11517, 9088, 630, 31688, 29090, 1070, 552, 24294, 10577, 267, 552, 23337, 758, 619, 267, 3039, 13189, 267, 5100, 13189, 267, 5100, 13189, 563, 1103, 12868, 267, 552, 24294, 10577, 538, 519, 1106, 540, 552, 24294, 10577, 849, 723, 5294, 543, 931, 563, 763, 2475, 5253, 543, 10684, 10029, 630, 21990, 6865, 264, 814, 849, 6069, 513, 7333, 593, 552, 24294, 10577, 563, 6097, 547, 623, 1180, 758, 1473, 320, 11233, 267, 519, 7887, 3017, 1063, 552, 24294, 10577, 543, 2834, 13189, 538, 2489, 568, 10269, 543, 15559, 563, 4913, 267, 602, 1281, 711, 1611, 6671, 13189, 616, 811, 5739, 547, 519, 1560, 543, 552, 24294, 10577, 610, 552, 24294, 10577, 616, 10930, 563, 16605, 538, 2247, 602, 10269, 630, 1492, 1292, 5057, 540, 13189, 27160, 24294, 10577, 264, 568, 711, 519, 1152, 2014, 540, 2860, 543, 824, 3978, 3676, 563, 292, 24294, 10577, 543, 552, 24294, 10577, 2270, 1082, 5820, 602, 666, 723, 513, 2942, 1764, 593, 707, 1072, 563, 307, 984, 8829, 1543, 538, 13189, 543, 552, 24294, 10577, 454, 290, 7837, 10577, 543, 552, 24294, 10577, 616, 1419, 1031, 1927, 547, 3313, 799, 568, 10930, 543, 811, 5739, 982, 519, 824, 563, 3719, 1354, 6616, 2436, 621, 779, 2922, 610, 711, 267, 621, 779, 1271, 547, 917, 1079, 1919, 1101, 563, 272, 269, 12474, 540, 30926, 30926, 454, 307, 984, 8829, 543, 8673, 2270, 513, 3099, 540, 5739, 6464, 267, 1519, 912, 1700, 1035, 13926, 24957, 282, 1107, 21449, 821, 282, 1488, 11420, 545, 1107, 3600, 14337, 514, 1107, 2549, 3000, 807, 1107, 5484, 345, 2940, 1107, 27974, 26606, 1107, 26537, 1756, 269, 31131, 24957, 1107, 21193, 4592, 26952, 269, 1107, 24729, 340, 2940, 1107, 12832, 13534, 1107, 20579, 269, 1107, 12539, 24785, 563, 273, 269, 12474, 540, 552, 24294, 10577, 454, 16605, 538, 2247, 602, 519, 22643, 832, 689, 552, 24294, 10577, 616, 711, 8723, 22643, 832, 563, 292, 24294, 12076, 11517, 3568, 513, 3099, 540, 6878, 267, 543, 519, 12080, 540, 2657, 524, 2572, 519, 1739, 912, 1700, 15522, 1107, 513, 19979, 5214, 7623, 630, 309, 8016, 5148, 32746, 8896, 6464, 269, 1107, 6101, 24957, 1107, 4412, 22005, 28340, 282, 1107, 1035, 25485, 25681, 282, 15910, 4094, 563, 303, 1886, 22005, 28340, 666, 8886, 622, 9641, 267, 4064, 267, 543, 7244, 2042, 971, 607, 10447, 267, 26032, 540, 7362, 267, 543, 2377, 565, 1143, 563, 301, 545, 13534, 3123, 23776, 2360, 602, 2014, 4965, 267, 14331, 267, 1560, 12152, 832, 267, 26032, 540, 7362, 267, 8628, 5761, 3441, 267, 5761, 2860, 267, 21729, 27019, 560, 9689, 267, 543, 2669, 563, 8110, 529, 611, 13519, 25485, 3123, 30189, 563, 290, 32555, 11077, 1336, 538, 552, 24294, 10577, 1331, 10269, 10391, 562, 14058, 8533, 630, 4811, 2793, 1070, 1019, 26120, 28340, 630, 291, 9680, 1070, 17333, 13521, 2940, 476, 273, 267, 26669, 559, 8533, 267, 6101, 24957, 267, 543, 1035, 14337, 514, 563, 1103, 1840, 547, 891, 6878, 267, 972, 949, 581, 811, 6464, 538, 552, 24294, 10577, 563, 1607, 568, 1317, 711, 782, 6878, 538, 1034, 2472, 616, 1419, 7396, 563, 763, 12178, 540, 13189, 543, 552, 24294, 10577, 454, 290, 7837, 10577, 543, 552, 24294, 10577, 723, 2942, 1072, 2360, 563, 26452, 2090, 723, 3254, 602, 5761, 2860, 267, 900, 19148, 572, 2742, 267, 2295, 2068, 543, 824, 3978, 10108, 2356, 2049, 1310, 1296, 540, 7296, 563, 19602, 267, 513, 1867, 689, 519, 2475, 15544, 585, 8376, 6513, 543, 10644, 630, 24922, 264, 1336, 2963, 602, 552, 24294, 10577, 666, 2014, 17465, 543, 3978, 5761, 3441, 1369, 513, 1032, 610, 1256, 513, 1032, 1310, 4616, 563, 3383, 2484, 267, 972, 568, 1100, 2963, 602, 552, 24294, 10577, 616, 1022, 1447, 5739, 610, 1447, 2500, 982, 552, 24294, 10577, 269, 0, 7709, 292, 476, 3583, 276, 271, 25849, 906, 281, 16989, 4804, 14362, 454, 7709, 292, 476, 3583, 276, 271, 25849, 906, 281, 16989, 4804, 14362, 454, 9128, 293, 4488, 4811, 5508, 23140, 4041, 300, 2177, 3951, 3036, 5058, 10396, 8863, 305, 2177, 2975, 31178, 12164, 14888, 16739, 454, 3849, 738, 4804, 14362, 454, 17206, 540, 12142, 27596, 585, 2657, 7070, 7379, 292, 3583, 276, 271, 281, 15845, 15369, 6657, 585, 16195, 28968, 454, 4696, 17109, 19845, 27073, 5058, 11553, 2562, 5746, 12195, 2464, 454, 3849, 738, 1565, 6240, 729, 4330, 676, 29346, 5700, 956, 607, 513, 1505, 1141, 4079, 1451, 998, 1582, 1673, 3925, 543, 1582, 2173, 582, 10474, 630, 305, 1380, 342, 15426, 901, 6240, 6941, 602, 4079, 616, 3804, 20218, 267, 789, 723, 1585, 5301, 585, 1565, 543, 789, 2141, 1445, 593, 741, 3853, 540, 8236, 811, 1702, 543, 2069, 269, 898, 6941, 602, 972, 568, 606, 27808, 8404, 547, 1451, 5635, 547, 513, 7820, 1268, 269, 4804, 568, 1582, 30928, 267, 950, 4079, 6430, 547, 1451, 267, 789, 616, 1134, 3238, 538, 519, 1565, 543, 789, 723, 6788, 547, 581, 1558, 269, 4340, 547, 630, 305, 639, 8688, 1070, 1034, 4079, 3442, 2937, 1565, 547, 1118, 13120, 610, 14842, 547, 513, 1259, 540, 1272, 602, 666, 1331, 1983, 267, 2623, 267, 1702, 267, 4567, 267, 1377, 543, 1256, 547, 1039, 1871, 547, 2933, 563, 3849, 738, 1565, 6240, 568, 513, 2189, 835, 1317, 621, 568, 1582, 2173, 582, 17300, 267, 6267, 666, 1451, 693, 741, 1378, 10605, 267, 713, 666, 3006, 581, 998, 606, 2228, 1362, 610, 538, 1362, 269, 26189, 832, 616, 811, 883, 3843, 547, 948, 519, 6267, 547, 3035, 741, 3853, 2864, 982, 3843, 547, 1118, 873, 3111, 610, 3765, 30514, 269, 16989, 22996, 12346, 593, 2250, 2702, 543, 8404, 267, 789, 3494, 789, 666, 798, 621, 2523, 952, 789, 723, 2944, 621, 538, 519, 2250, 269, 634, 2069, 543, 519, 1995, 789, 723, 1185, 538, 519, 2250, 4217, 873, 547, 3035, 811, 538, 741, 1565, 269, 20661, 1810, 1406, 723, 547, 581, 2046, 28962, 899, 1453, 267, 789, 1174, 1946, 621, 568, 1271, 547, 3251, 5059, 543, 7722, 538, 824, 547, 3035, 741, 3853, 563, 3849, 738, 2069, 568, 513, 1259, 547, 2087, 13951, 543, 1039, 1871, 547, 835, 779, 1272, 543, 4876, 267, 519, 3483, 540, 1565, 568, 585, 606, 8612, 3483, 543, 602, 568, 1946, 621, 568, 865, 1271, 547, 1174, 922, 2640, 543, 3483, 269, 16989, 1451, 1655, 950, 789, 917, 602, 519, 1344, 543, 1439, 1267, 786, 581, 540, 2318, 1267, 269, 16989, 1565, 1184, 568, 8476, 950, 972, 568, 2407, 7589, 538, 519, 1565, 1184, 543, 519, 6267, 723, 2407, 1852, 936, 519, 1570, 269, 901, 7512, 519, 15226, 547, 25058, 782, 3007, 543, 581, 9308, 3238, 538, 1818, 2386, 602, 1565, 543, 21939, 568, 2944, 269, 8682, 3887, 1998, 6672, 568, 849, 1271, 693, 519, 1439, 540, 519, 4305, 547, 2708, 952, 621, 568, 6225, 610, 711, 269, 901, 1259, 519, 15226, 666, 1427, 15869, 3268, 1394, 547, 18985, 1919, 971, 607, 2519, 811, 610, 17265, 2326, 811, 563, 7197, 12830, 16989, 4804, 14362, 454, 15447, 956, 6240, 540, 2937, 1565, 11363, 593, 2185, 2798, 602, 1331, 519, 991, 585, 4079, 547, 581, 1134, 3238, 538, 519, 4058, 543, 6268, 540, 6044, 269, 898, 849, 3322, 519, 1995, 607, 519, 4493, 585, 1565, 267, 713, 568, 17929, 519, 1995, 602, 606, 2937, 814, 786, 3391, 538, 782, 3375, 1818, 543, 1818, 1565, 4443, 543, 3811, 269, 6271, 6240, 568, 602, 1565, 585, 4079, 568, 1966, 10704, 543, 711, 1543, 20218, 269, 634, 2063, 6240, 3081, 4079, 616, 1034, 5461, 538, 1451, 902, 602, 786, 2087, 741, 1983, 2901, 538, 2069, 610, 538, 741, 4876, 2619, 269, 630, 303, 1952, 553, 267, 476, 1001, 274, 1916, 763, 2937, 1565, 6240, 602, 594, 3494, 547, 581, 519, 1034, 1271, 568, 950, 519, 15226, 2535, 919, 4628, 543, 7184, 538, 519, 1565, 1184, 269, 589, 15226, 568, 1134, 3238, 538, 4058, 543, 10442, 519, 1543, 269, 901, 568, 519, 5748, 540, 519, 1967, 540, 1565, 269, 1403, 972, 568, 1100, 2178, 7589, 267, 621, 2306, 519, 5748, 540, 519, 1565, 4617, 7551, 4929, 13546, 11797, 269, 32027, 513, 2698, 9525, 543, 5834, 786, 2333, 7607, 543, 5512, 519, 15226, 547, 581, 3501, 538, 1018, 568, 1373, 19927, 269, 594, 4782, 713, 1565, 1184, 1317, 621, 568, 519, 4493, 602, 786, 1020, 883, 1463, 30925, 543, 1582, 3887, 1998, 6672, 1141, 519, 15226, 2708, 519, 6364, 540, 519, 1565, 563, 3849, 738, 4804, 14362, 543, 9608, 4804, 13910, 454, 2467, 616, 1114, 1565, 6163, 602, 1142, 2937, 27422, 547, 946, 267, 930, 1004, 4782, 3308, 6163, 1141, 789, 1451, 998, 2854, 5528, 269, 901, 568, 513, 1184, 602, 5512, 4079, 547, 1224, 741, 2326, 543, 1451, 676, 3168, 693, 1114, 12383, 602, 786, 3986, 741, 1565, 269, 901, 1505, 568, 1031, 676, 1082, 1004, 1317, 621, 2337, 609, 13936, 1344, 543, 1373, 2111, 547, 979, 1394, 543, 23074, 519, 1344, 998, 741, 1565, 2326, 563, 29423, 7480, 1565, 2511, 568, 1776, 835, 602, 6212, 593, 11913, 5528, 267, 713, 568, 849, 9053, 676, 930, 4079, 602, 666, 1451, 3728, 998, 6217, 269, 901, 1505, 1568, 1655, 585, 930, 4079, 602, 1810, 1406, 798, 1134, 609, 2854, 1344, 267, 789, 4043, 547, 15849, 30968, 1732, 2899, 789, 5873, 519, 1344, 269, 634, 1344, 4862, 676, 891, 1895, 540, 1004, 2611, 16856, 543, 789, 1020, 621, 883, 8273, 3785, 563, 5194, 2511, 568, 1572, 519, 20943, 20469, 1565, 2511, 269, 901, 568, 1141, 519, 6267, 4125, 741, 1560, 538, 519, 1565, 1184, 9308, 267, 713, 666, 581, 998, 1895, 2238, 269, 2368, 4079, 4782, 713, 1505, 1317, 6267, 1934, 798, 711, 7340, 1018, 568, 19927, 3362, 269, 1358, 6542, 1018, 568, 2877, 547, 1451, 543, 1034, 1004, 1265, 713, 547, 581, 1360, 4277, 1317, 789, 616, 865, 3238, 538, 2238, 602, 2164, 547, 519, 6364, 540, 519, 1565, 563, 296, 993, 7184, 3238, 538, 1250, 1565, 1317, 594, 3494, 602, 1250, 3403, 786, 3313, 519, 3977, 594, 4309, 693, 519, 1439, 540, 519, 1554, 269, 9509, 7589, 568, 1250, 3804, 538, 8236, 1250, 2069, 267, 1250, 1565, 2511, 568, 519, 17391, 1565, 1317, 519, 11913, 6044, 8952, 30366, 538, 1250, 10772, 269, 594, 1451, 1655, 950, 594 ]

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

[ 593, 1142, 1297, 2496, 5194, 1966, 568, 602, 513, 9936, 3989, 607, 968, 1492, 3970, 540, 1535, 1109, 553, 586, 1109, 1952, 30294, 20581, 892, 3085, 1406, 3100, 547, 2995, 596, 4376, 3730, 827, 519, 6364, 540, 513, 2582, 5884, 5066, 269, 6875, 1776, 5884, 267, 799, 568, 865, 21494, 569, 796, 29446, 602, 519, 5506, 540, 12902, 513, 1614, 568, 835, 538, 476, 1015, 2929, 269, 1403, 596, 2461, 827, 547, 5066, 519, 5884, 2899, 267, 1018, 1281, 713, 2995, 596, 286, 1411, 2901, 5066, 513, 1614, 267, 610, 596, 1810, 1406, 1107, 2436, 519, 5506, 568, 835, 538, 3670, 610, 835, 538, 476, 1015, 2929, 269, 1703, 779, 1100, 1259, 547, 581, 2386, 25656, 780, 4517, 2943, 1004, 786, 25747, 1900, 883, 513, 7077, 609, 513, 835, 2987, 268, 272, 334, 2173, 11669, 4960, 829, 8184, 540, 9991, 856, 540, 519, 6607, 543, 11318, 3025, 593, 4604, 267, 855, 789, 4465, 1406, 2097, 2282, 513, 7077, 609, 513, 835, 2987, 29350, 4960, 269, 22682, 267, 5506, 1797, 1945, 780, 14738, 1631, 267, 607, 594, 6557, 17511, 713, 267, 594, 6557, 3972, 532, 1250, 1272, 547, 519, 1360, 1970, 5506, 602, 519, 6989, 786, 12900, 896, 803, 543, 6749, 803, 883, 519, 30256, 685, 2713, 4055, 538, 513, 8405, 31771, 4990, 540, 1259, 269, 1879, 594, 979, 547, 3207, 630, 6518, 594, 1058, 723, 2944, 513, 1279, 942, 3516, 264, 594, 3580, 581, 3972, 532, 1250, 1272, 547, 519, 1360, 1970, 5506, 602, 1945, 538, 1250, 4055, 786, 14477, 6952, 3595, 1282, 519, 3781, 543, 6633, 519, 2679, 1524, 269, 5272, 1554, 267, 950, 594, 4783, 547, 1362, 267, 594, 3972, 1250, 1272, 547, 519, 1360, 1970, 5506, 602, 1022, 9920, 1472, 803, 568, 513, 12638, 748, 28400, 543, 5924, 593, 5869, 514, 780, 4517, 621, 4422, 2417, 269, 19296, 1118, 1942, 3491, 321, 1464, 4123, 26160, 782, 519, 942, 281, 952, 513, 1062, 630, 3697, 513, 7077, 267, 610, 513, 5721, 267, 610, 513, 6046, 1379, 2030, 264, 814, 513, 1761, 585, 21472, 5821, 267, 875, 1164, 798, 1109, 933, 1450, 519, 5506, 540, 971, 513, 5821, 547, 581, 286, 1215, 1454, 2724, 616, 649, 8348, 547, 6108, 547, 5397, 621, 1524, 676, 513, 3815, 540, 1109, 345, 286, 13689, 593, 519, 4876, 5079, 594, 1118, 267, 594, 1522, 723, 547, 1118, 4123, 26160, 899, 602, 693, 930, 1448, 780, 3383, 649, 723, 713, 20868, 9936, 4171, 1360, 4214, 568, 7925, 547, 6482, 5470, 267, 543, 799, 16022, 569, 4992, 899, 621, 3085, 1406, 2995, 721, 4376, 811, 982, 968, 311, 1522, 4755, 610, 621, 1522, 711, 892, 1107, 543, 2943, 649, 3972, 938, 2729, 547, 621, 543, 13793, 3902, 16776, 593, 621, 543, 3049, 621, 883, 782, 5686, 540, 7294, 6310, 3631, 607, 952, 621, 941, 607, 6209, 543, 3067, 16666, 607, 519, 1297, 540, 13212, 538, 513, 11127, 780, 3086, 594, 4076, 1044, 5143, 602, 519, 4214, 1657, 568, 1572, 968, 325, 7528, 550, 626, 5608, 543, 972, 779, 1776, 2070, 1572, 968, 29074, 14198, 892, 799, 3705, 1206, 5506, 607, 519, 22979, 609, 799, 513, 3661, 630, 324, 3052, 269, 968, 10472, 7077, 786, 711, 2887, 856, 540, 519, 6607, 543, 6146, 3025, 593, 4604, 2221, 14615, 568, 4371, 1107, 855, 593, 519, 3068, 540, 621, 267, 602, 2306, 1256, 1447, 2631, 269, 1403, 513, 3659, 540, 9553, 3217, 519, 9985, 7059, 5884, 543, 267, 676, 1954, 752, 8009, 267, 4991, 476, 6344, 271, 555, 4181, 856, 540, 476, 7785, 271, 20061, 267, 1281, 602, 1611, 519, 5884, 779, 5506, 540, 12902, 513, 1614, 2242, 547, 835, 538, 2947, 8164, 646, 779, 3168, 693, 621, 286, 1403, 513, 1821, 719, 4168, 568, 476, 1911, 260, 1978, 602, 2696, 6818, 267, 1281, 602, 6961, 519, 6228, 540, 2696, 3564, 513, 14692, 540, 8969, 286, 1215, 798, 596, 22945, 1109, 534, 7493, 5626, 1523, 899, 968, 322, 1643, 1399, 5608, 19037, 2496, 9288, 267, 594, 6557, 1175, 827, 4712, 547, 1376, 18468, 602, 5506, 568, 930, 2186, 540, 25386, 3959, 540, 519, 5884, 3294, 1107, 610, 6148, 602, 972, 2731, 568, 513, 15932, 7089, 2696, 269, 0, 1012, 476, 24241, 1240, 692, 2641, 267, 278, 1240, 630, 13512, 4868, 14633, 8536, 5722, 4627, 29933, 264, 568, 606, 1256, 2947, 1673, 580, 1080, 12432, 1297, 1739, 476, 24241, 1704, 543, 18631, 476, 24241, 866, 269, 769, 3621, 10035, 267, 621, 568, 2854, 607, 476, 273, 269, 14378, 279, 6398, 476, 10441, 269, 634, 2040, 540, 922, 9704, 568, 476, 866, 269, 898, 814, 513, 2698, 540, 476, 273, 6305, 2188, 543, 476, 275, 2318, 16975, 269, 1703, 616, 476, 1015, 267, 5952, 279, 2318, 9981, 630, 1575, 547, 476, 24241, 1240, 264, 602, 616, 5266, 6305, 547, 476, 24241, 1240, 780, 1012, 9978, 3601, 692, 1892, 1772, 11788, 286, 3143, 454, 1892, 7089, 26027, 4634, 454, 1892, 7089, 3259, 476, 276, 454, 1892, 5681, 540, 6226, 1080, 476, 866, 454, 1892, 7913, 17848, 476, 272, 692, 1012, 8745, 692, 14112, 2012, 476, 2641, 8536, 476, 278, 1240, 8938, 14633, 8536, 5722, 4627, 29933, 692, 1012, 3502, 566, 692, 26199, 10035, 476, 273, 269, 14378, 279, 6398, 476, 10441, 476, 2641, 269, 278, 1240, 6398, 476, 9818, 692, 1012, 11788, 16748, 1436, 540, 476, 24241, 1240, 692, 28269, 16748, 1436, 476, 273, 6398, 476, 10482, 6795, 692, 4467, 22683, 1297, 454, 18850, 3307, 11790, 11192, 11790, 7101, 673, 28911, 3799, 264, 476, 273, 11192, 1297, 540, 3982, 6305, 2188, 3852, 358, 3799, 264, 476, 273, 11192, 1297, 540, 6305, 2188, 2234, 3799, 264, 476, 24241, 1240, 8605, 540, 519, 3982, 6305, 2338, 18494, 3799, 264, 476, 272, 16849, 519, 26027, 540, 3852, 358, 3799, 1070, 971, 602, 18494, 3799, 264, 815, 11196, 272, 264, 394, 358, 3799, 264, 13179, 3799, 264, 476, 272, 16849, 281, 476, 272, 267, 952, 562, 814, 606, 1256, 1297, 540, 6305, 2188, 630, 663, 568, 4009, 1863, 264, 6567, 272, 267, 952, 562, 814, 606, 9642, 1297, 540, 6305, 2188, 630, 663, 568, 4009, 1863, 264, 476, 271, 267, 952, 562, 814, 513, 16302, 6305, 3815, 3852, 505, 3799, 264, 476, 271, 16849, 2845, 9638, 264, 952, 562, 568, 513, 1379, 533, 330, 540, 1022, 6305, 533, 630, 1721, 1022, 737, 13843, 476, 272, 1070, 3116, 7024, 476, 271, 692, 763, 6305, 26458, 540, 476, 2641, 267, 278, 1240, 568, 476, 273, 6398, 476, 10482, 6795, 269, 4595, 621, 814, 513, 2698, 540, 476, 273, 6305, 2188, 267, 476, 2641, 267, 278, 1240, 568, 513, 12432, 1297, 780, 1012, 6555, 30583, 540, 476, 24241, 1240, 692, 272, 267, 476, 273, 267, 476, 10482, 6795, 267, 476, 24241, 1240, 692, 275, 16975, 692, 4634, 16975, 476, 273, 476, 273, 476, 272, 476, 272, 454, 13707, 6555, 30583, 5681, 540, 6555, 30583, 1325, 1172, 582, 5681, 26018, 3799, 264, 476, 275, 11192, 1297, 540, 519, 2318, 16975, 540, 562, 21566, 3799, 264, 476, 23283, 3199, 5681, 540, 782, 519, 2318, 16975, 540, 562, 521, 3799, 264, 476, 10482, 7830, 5681, 540, 519, 1697, 2318, 16975, 540, 562, 589, 3799, 264, 476, 279, 1691, 276, 16849, 519, 2040, 540, 16975, 630, 17385, 3799, 4297, 5258, 676, 519, 2698, 1297, 540, 16975, 630, 16483, 3799, 4297, 717, 3799, 264, 476, 15704, 269, 4391, 16849, 519, 32671, 3597, 540, 519, 1587, 540, 562, 16975, 670, 3799, 264, 476, 273, 269, 26116, 5655, 16849, 519, 2698, 1297, 540, 16975, 630, 16483, 3799, 4297, 5258, 676, 519, 2040, 540, 519, 23483, 540, 1142, 16975, 692, 763, 1297, 476, 2641, 267, 278, 1240, 666, 581, 5258, 676, 476, 275, 2318, 16975, 630, 719, 540, 799, 476, 273, 616, 1256, 267, 543, 476, 273, 616, 9642, 1040, 634, 2040, 540, 891, 16975, 630, 12248, 532, 476, 2641, 267, 278, 1240, 264, 568, 476, 3953, 267, 276, 3199, 267, 519, 3328, 568, 476, 279, 267, 13970, 780, 1012, 4033, 25226, 12793, 630, 333, 815, 476, 24241, 1240, 2020, 272, 26420, 3799, 264, 562, 454, 292, 17526, 570, 582, 1304, 25844, 19376, 700, 10033, 11788, 13100, 26420, 3799, 264, 476, 10482, 6812, 11192, 1297, 540, 2318, 9981, 711, 3152, 982, 562, 602, 616, 2941, 31870, 547, 562, 18494, 3799, 264, 476, 10482, 6812, 9540, 652, 2318, 1297, 971, 602, 513, 16575, 3799, 264, 9881, 350, 476, 272, 630, 7116, 562, 264, 585, 782, 513, 2941, 31870, 547, 562, 12631, 3799, 264, 9881, 486, 476, 25838, 279, 11192, 1297, 540, 22136, 1447, 982, 610, 3160, 547, 562, 678, 273, 3799, 264, 476, 271, 634, 1297, 540, 2081, 562, 666, 581, 6719, 607, 519, 2040, 540, 476, 273, 10945, 692, 2467, 616, 476, 1015, 267, 5952, 279, 2318, 9981, 630, 1652, 982, 476, 2641, 267, 278, 1240, 264, 602, 616, 2941, 31870, 609, 476, 2641, 267, 278, 1240, 269, 1656, 972, 616, 5111, 476, 273, 267, 275, 4343, 6305, 2338, 1447, 982, 610, 3160, 547, 476, 2641, 267, 278, 1240, 780, 1012, 6555, 529, 2225, 540, 476, 24241, 1240, 692, 544, 562, 1110, 544, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 278, 476, 279, 476, 280, 476, 271, 476, 272, 476, 273, 476, 274, 476, 275, 476, 275, 476, 277, 476, 272, 692, 763, 1297, 476, 2641, 267, 278, 1240, 568, 16883, 676, 476, 273, 780, 1012, 19032, 540, 476, 24241, 1240, 692, 1892, 25226, 454, 1892, 12054, 760, 31870, 454, 1892, 4347, 17087, 692, 2162, 18124, 1043, 3842, 1808, 18304, 692, 1892, 2717, 924, 454, 1892, 6348, 268, 1506, 13607, 26664, 692, 1892, 12384, 5131, 692, 1012, 12476, 7503, 630, 24241, 1240, 2020, 26015, 3590, 10025, 454, 273, 23030, 476, 6200, 18089, 18733, 18089, 8099, 454, 274, 570, 1716, 776, 476, 1911, 21854, 18089, 272, 454, 275, 2372, 15715, 776, 476, 9340, 31648, 1321, 454, 276, 2372, 2435, 476, 14625, 18357, 274, 454, 277, 7354, 776, 476, 28192, 27183, 454, 279, 4239, 531, 476, 276, 2537, 2918, 454, 1015, 27252, 476, 24241, 1240, 454, 1321, 13660, 1712, 31565, 476, 11793, 280, 320, 454, 736, 966, 580, 525, 2711, 476, 273, 324, 276, 328, 454, 3607, 12476, 3607, 1178, 692, 1012, 9978, 9273, 630, 333, 815, 476, 24241, 1240, 2020, 2162, 18527, 692, 333, 9943, 328, 454, 562, 9943, 273, 476, 275, 4097, 3607, 476, 4792, 272, 7918, 476, 279, 6924, 7761, 476, 10482, 276, 3445, 692, 2162, 10406, 692, 14269, 454, 562, 22397, 482, 273, 476, 10482, 6795, 476, 278, 2537, 280, 269, 3451, 476, 276, 5655, 280, 269, 276, 476, 275, 4097, 274, 269, 277, 692, 2162, 5890, 9426, 2747, 692, 14269, 454, 562, 273, 476, 5325, 272, 6858, 272, 276, 2190, 476, 9083, 275, 4391, 277, 2641, 6812, 273, 3953, 476, 19442, 5325, 275, 271, 2918, 4649, 273, 4366, 273, 6872, 277, 476, 4366, 274, 15433, 271, 3445, 279, 5780, 6924, 272, 4792, 279, 4649, 277, 279, 692, 2162, 715, 628, 17848, 692, 328, 18414, 333, 454, 476, 273, 18414, 333, 476, 15704, 269, 4391, 476, 2767, 269, 12010, 273, 476, 1321, 269, 16928, 277, 476, 278, 269, 3607, 279, 2190, 692, 1012, 476, 24241, 1240, 607, 12166, 5546, 692, 2162, 17781, 692, 18924, 2678, 476, 275, 4097, 3607, 476, 15793, 3393, 279, 476, 272, 269, 4366, 272, 279, 324, 266, 6021, 692, 2162, 1975, 1877, 692, 11730, 476, 275, 269, 23310, 280, 324, 266, 1724, 476, 276, 269, 280, 2767, 273, 324, 266, 6021, 476, 15793, 3393, 279, 692, 2162, 12384, 692, 21920, 815, 562, 454, 32309, 476, 279, 6924, 7761, 476, 275, 269, 278, 1626, 7761, 324, 266, 5400, 476, 28906, 1724, 269, 280, 692, 2162, 28116, 692, 21920, 815, 562, 454, 17183, 1858, 476, 273, 269, 279, 1789, 6734, 324, 266, 6021, 476, 272, 269, 271, 2190, 4343, 324, 266, 1724, 476, 4391, 277, 1626, 269, 278, 692, 2162, 4982, 10561, 21121, 692, 21920, 815, 562, 454, 32309, 476, 4792, 272, 7918, 476, 273, 269, 271, 5655, 275, 324, 266, 5400, 476, 6642, 5400, 269, 274, 692, 2162, 10222, 9771, 30958, 692, 21920, 815, 562, 454, 17183, 1858, 476, 279, 269, 15433, 6795, 324, 266, 5400, 476, 272, 269, 21709, 2190, 324, 266, 1321, 476, 10082, 3953, 269, 278, 692, 1012, 15303, 4919, 25300, 12793, 692, 30113, 276, 476, 271, 323, 6434, 278, 8287, 325, 7277, 278, 325, 277, 576, 325, 322, 4281, 322, 4792, 272, 324, 764, 5655, 322, 4206, 476, 4817, 321, 279, 4817, 10844, 629, 742, 2568, 320, 11011, 321, 6872, 320, 1724, 10623, 28883, 3607, 6277, 25313, 24879, 274, 325, 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 ]

[ 630, 10135, 300, 264, 1949, 616, 1079, 1898, 3334, 540, 1022, 3811, 3059, 6725, 4640, 269, 1635, 10128, 891, 2645, 267, 4213, 666, 20928, 741, 2792, 3157, 267, 2087, 1291, 5108, 267, 543, 2333, 6455, 24740, 269, 901, 3184, 786, 2263, 875, 4757, 7218, 899, 9786, 31326, 543, 717, 21166, 666, 581, 7471, 609, 10911, 300, 1949, 971, 607, 19833, 4403, 543, 16735, 8967, 582, 547, 11126, 6725, 3646, 269, 1284, 786, 849, 1865, 1585, 1514, 2923, 2645, 602, 666, 9148, 891, 7471, 1949, 547, 3986, 2949, 2228, 4527, 780, 4089, 476, 272, 281, 4197, 19478, 1849, 1801, 543, 10911, 16039, 454, 6524, 18167, 883, 5610, 2553, 267, 621, 781, 2629, 547, 1174, 1018, 4757, 7218, 543, 10911, 16039, 616, 543, 875, 789, 1599, 10446, 780, 272, 269, 272, 19478, 1849, 1801, 454, 2304, 4757, 7817, 568, 3301, 1031, 547, 4383, 15737, 4607, 543, 2366, 676, 3755, 269, 15019, 4757, 7218, 1331, 9786, 31326, 267, 11197, 25357, 267, 543, 717, 21166, 269, 1452, 3156, 1450, 3755, 547, 1569, 2789, 6589, 689, 513, 2582, 3760, 267, 10891, 6835, 998, 12086, 543, 10297, 267, 543, 17492, 1007, 15737, 2347, 609, 11249, 3681, 543, 27589, 780, 272, 269, 273, 21436, 20556, 5004, 630, 10135, 300, 264, 7010, 454, 288, 10911, 300, 1062, 568, 513, 1907, 2966, 547, 948, 3906, 4383, 4205, 609, 5561, 543, 1761, 5012, 2429, 519, 3003, 6455, 1184, 269, 6206, 2934, 1419, 1331, 3346, 12240, 267, 6455, 18180, 9477, 267, 12747, 32262, 267, 8989, 21686, 15236, 267, 543, 12642, 7207, 269, 5871, 10911, 300, 5867, 1331, 19833, 4403, 267, 16735, 8967, 582, 267, 543, 2098, 2129, 334, 10911, 300, 780, 4089, 476, 273, 281, 11588, 540, 23889, 19478, 1849, 1801, 609, 10911, 300, 7010, 454, 18204, 7992, 4757, 7218, 609, 10911, 300, 1949, 3091, 1896, 2640, 267, 1519, 1384, 273, 269, 272, 6239, 1242, 9442, 3778, 454, 3528, 5348, 1424, 4757, 10618, 1369, 513, 10911, 300, 3760, 267, 4213, 666, 2226, 513, 3844, 23789, 540, 782, 6075, 4205, 269, 901, 5849, 602, 6455, 6887, 723, 1569, 547, 4143, 19359, 950, 2502, 609, 16548, 267, 3056, 547, 811, 5483, 7391, 543, 8476, 3347, 780, 273, 269, 273, 20865, 8048, 19087, 543, 19120, 2305, 454, 8505, 558, 5597, 19883, 15737, 1996, 7222, 17066, 2636, 2344, 619, 547, 2697, 3270, 538, 6278, 543, 22942, 11727, 5012, 1759, 593, 5872, 4908, 610, 1808, 17161, 269, 3958, 267, 6220, 4757, 17074, 3358, 547, 1585, 5933, 540, 519, 23138, 781, 3460, 666, 948, 20741, 5012, 811, 3927, 780, 273, 269, 274, 20837, 20040, 4518, 6503, 14825, 725, 454, 18204, 7992, 4757, 7218, 609, 10911, 16039, 6087, 12957, 540, 6296, 4247, 971, 607, 1239, 7127, 267, 1246, 5346, 23106, 267, 543, 1867, 5108, 269, 1306, 513, 1267, 267, 5520, 666, 1445, 593, 2362, 17032, 2238, 1247, 4227, 8261, 6959, 2404, 609, 8261, 3403, 2409, 780, 4089, 476, 274, 281, 7351, 12367, 543, 7464, 21509, 6201, 454, 6097, 547, 2487, 1382, 267, 3549, 9001, 7471, 4757, 543, 10911, 300, 1949, 1995, 513, 476, 3066, 260, 2333, 538, 6455, 8907, 3379, 547, 1346, 13461, 9003, 593, 30890, 2645, 630, 13126, 281, 589, 828, 1372, 523, 6828, 1040, 5015, 267, 10531, 15737, 5352, 3670, 2053, 811, 8907, 829, 18579, 982, 1875, 1790, 5966, 1242, 3283, 630, 13126, 281, 667, 7246, 6184, 697, 1070, 10223, 519, 2956, 540, 16107, 10911, 300, 1239, 1369, 4757, 2994, 780, 18600, 3734, 1383, 281, 589, 4571, 13355, 552, 4467, 12692, 2754, 8045, 606, 7471, 4757, 4211, 305, 300, 3070, 267, 4611, 538, 4824, 1291, 28730, 543, 10156, 6455, 9979, 1813, 547, 1732, 15287, 883, 19175, 2623, 269, 634, 2754, 4080, 513, 476, 5325, 260, 2333, 538, 5993, 19614, 11911, 5097, 547, 713, 7580, 6521, 780, 4089, 476, 275, 281, 5440, 4317, 9012, 13088, 585, 31514, 6732, 3465, 775, 454, 4407, 711, 2047, 1644, 547, 4757, 7817, 4211, 305, 300, 5610, 267, 8939, 3617, 1514, 2923, 2645, 568, 4105, 585, 21924, 2228, 3914, 543, 29103, 1359, 6216, 4656, 269, 2368, 8037, 19528, 1331, 1384, 275, 269, 272, 5616, 12367, 454, 1607, 1863, 1907, 2488, 4030, 883, 3406, 4320, 3466, 585, 1808, 17161, 543, 3584, 267, 7175, 4213, 547, 1711, 12905, 543, 4143, 1543, 602, 24889, 609, 3077, 9458, 780, 275, 269, 273, 5616, 24630, 454, 3528, 7421, 3896, 6808, 2959, 267, 3593, 2623, 267, 543, 7503, 3928, 267, 5616, 24630, 20674, 538, 7893, 5859, 2773, 543, 17975, 2104, 7341, 780, 275, 269, 274, 681, 2526, 21842, 454, 305, 2526, 21842, 2337, 3950, 15712, 262, 1514, 2923, 2534, 267, 3246, 14541, 12201, 585, 6476, 543, 6667, 950, 3384, 2189, 1543, 2994, 780, 275, 269, 275, 1975, 709, 339, 4317, 454, 2026, 606, 782, 2987, 14633, 1514, 2923, 2359, 3760, 267, 1975, 709, 339, 4317, 16881, 2022, 20319, 267, 5304, 6278, 267, 543, 12642, 2066, 2789, 9055, 267, 1818, 621, 4443, 547, 2226, 5812, 20261, 543, 6895, 21614, 296, 780, 6962, 912, 18204, 7992, 4757, 7218, 609, 10911, 300, 1949, 3091, 3875, 5383, 585, 4213, 5275, 547, 11126, 741, 3059, 6725, 3646, 269, 30855, 3617, 1514, 2923, 2645, 7258, 891, 7471, 3435, 666, 2417, 32433, 2949, 2228, 4527, 543, 6536, 6793, 4296, 609, 1761, 5012, 543, 4540, 5561, 7567, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 12892, 2923, 2645, 616, 513, 3119, 2460, 540, 2413, 1543, 543, 6725, 11044, 585, 1082, 4213, 267, 855, 799, 616, 22992, 3407, 585, 707, 1870, 888, 11386, 24630, 568, 519, 1034, 1271, 585, 4128, 649, 3580, 1205, 883, 2663, 267, 855, 1514, 2923, 2645, 7500, 538, 1114, 6688, 543, 666, 798, 1082, 1919, 563, 1103, 713, 3391, 267, 649, 3580, 1491, 513, 2656, 1413, 693, 930, 2596, 1344, 827, 1210, 1514, 2923, 2645, 267, 1287, 2689, 519, 1655, 3681, 2066, 2185, 1292, 6688, 563, 268, 7454, 4317, 9012, 13088, 585, 476, 1708, 273, 630, 29619, 994, 268, 1323, 11137, 540, 4317, 9012, 13088, 454, 268, 7454, 4317, 9012, 13088, 585, 476, 1708, 273, 454, 268, 12474, 4354, 566, 13088, 454, 268, 12474, 20520, 13088, 454, 268, 24630, 543, 31524, 13088, 454, 268, 5004, 1299, 28290, 13088, 454, 268, 17972, 547, 6733, 585, 769, 4317, 9012, 13088, 454, 268, 654, 571, 6137, 5455, 454, 16032, 4317, 9012, 13088, 585, 476, 1708, 273, 630, 29619, 994, 2171, 4076, 3769, 606, 7650, 540, 938, 1283, 26717, 2630, 269, 1280, 2143, 1344, 593, 1142, 4584, 267, 20801, 1524, 563, 268, 5616, 12367, 454, 268, 5616, 24630, 454, 268, 681, 2526, 21842, 454, 268, 1975, 709, 339, 4317, 454, 268, 2098, 2129, 334, 4317, 454, 2304, 11137, 540, 4317, 2405, 328, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 19766, 21585, 1315, 6355, 1299, 8605, 2032, 12229, 1315, 19478, 1849, 1801, 1315, 23889, 19478, 1849, 1801, 609, 10911, 300, 7010, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 7705, 281, 19850, 7585, 256, 5620, 596, 2479, 4862, 827, 519, 2816, 540, 513, 17199, 2496, 7692, 281, 23010, 267, 594, 1589, 865, 269, 1358, 2811, 519, 3283, 945, 2149, 938, 2197, 267, 1318, 2496, 8334, 281, 22549, 256, 1656, 798, 596, 917, 789, 3006, 960, 5702, 609, 824, 1271, 1004, 1932, 286, 6145, 17009, 1846, 610, 5605, 817, 611, 832, 780, 7692, 281, 26419, 286, 4208, 1131, 7980, 991, 948, 689, 1346, 11570, 2496, 8334, 281, 4270, 267, 4952, 596, 2811, 4543, 2973, 909, 707, 4055, 855, 972, 616, 930, 2462, 9162, 17527, 707, 1259, 269, 1411, 1522, 2307, 707, 2385, 585, 948, 547, 1847, 873, 856, 540, 519, 1259, 267, 1318, 286, 898, 781, 2186, 540, 2147, 609, 7980, 543, 17009, 1846, 269, 22307, 4536, 5150, 519, 1858, 1247, 17009, 1846, 6023, 8273, 2042, 998, 12909, 543, 11650, 780, 7692, 281, 7937, 267, 594, 1205, 621, 256, 1924, 2348, 513, 5363, 17009, 520, 568, 899, 2348, 513, 2178, 3659, 945, 666, 948, 4194, 27162, 615, 2152, 780, 8334, 281, 8786, 267, 4010, 256, 2334, 781, 1946, 519, 17199, 538, 519, 1383, 596, 4862, 4505, 8604, 6126, 547, 960, 609, 741, 1007, 17009, 520, 269, 1261, 1256, 1572, 1864, 513, 3579, 28215, 1107, 834, 763, 10089, 671, 9926, 518, 10590, 2052, 596, 7058, 1946, 2496, 7692, 281, 670, 7825, 1862, 6148, 1317, 646, 2337, 2312, 2476, 9465, 899, 513, 4439, 671, 9926, 518, 1579, 1513, 13897, 2496, 8334, 281, 22549, 256, 3807, 899, 875, 513, 4439, 671, 9926, 518, 24864, 11735, 5230, 8631, 267, 713, 17009, 520, 1568, 2182, 547, 4894, 2352, 2591, 269, 3767, 1577, 803, 2307, 596, 1945, 3116, 1765, 17647, 596, 2479, 5185, 513, 1966, 602, 5433, 2731, 645, 5456, 286, 9320, 4687, 513, 11442, 610, 14045, 4171, 2490, 621, 568, 547, 4584, 519, 3014, 2496, 7692, 281, 17610, 267, 3006, 649, 8044, 936, 1507, 8631, 899, 602, 780, 8334, 281, 9406, 267, 1134, 950, 6738, 5725, 3068, 2462, 2042, 267, 789, 1419, 1413, 585, 2081, 547, 1118, 5100, 5079, 269, 6884, 602, 1797, 6998, 1866, 585, 948, 610, 6947, 547, 5796, 689, 4966, 269, 1879, 2324, 1927, 267, 3025, 814, 513, 1909, 547, 1404, 267, 1175, 899, 7980, 543, 17009, 1846, 780, 7692, 281, 15346, 267, 594, 2760, 6743, 693, 621, 602, 1259, 1354, 269, 1284, 1451, 1945, 1007, 1169, 1554, 267, 26001, 2496, 8334, 281, 25999, 256, 2913, 781, 1832, 1565, 1927, 543, 3314, 547, 946, 938, 1455, 2631, 8164, 649, 2097, 2066, 4101, 3871, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 23437, 9121, 476, 279, 5988, 476, 1220, 280, 267, 476, 3393, 628, 22540, 8232, 10985, 454, 11039, 267, 9684, 596, 1360, 1454, 28579, 267, 543, 621, 779, 1390, 547, 581, 609, 596, 782, 269, 1656, 2965, 267, 952, 594, 1223, 1376, 1055, 676, 1175, 3365, 7596, 532, 267, 607, 513, 17199, 267, 1018, 594, 1175, 4862, 519, 10579, 540, 4347, 775, 540, 519, 5177, 2995, 721, 269, 594, 2219, 602, 729, 513, 17512, 881, 5048, 563, 2005, 779, 1390, 547, 581, 593, 519, 3942, 609, 1250, 1007, 20320, 7649, 267, 19264, 26513, 9400, 4591, 15842, 5803, 269, 1411, 917, 267, 621, 779, 1169, 2155, 6387, 779, 5326, 547, 723, 607, 1010, 5605, 817, 611, 3645, 13617, 2006, 2576, 20859, 4766, 609, 12183, 12849, 899, 968, 763, 10089, 671, 9926, 518, 1848, 769, 782, 3978, 1145, 267, 594, 1616, 547, 15597, 2892, 1393, 713, 22064, 17009, 520, 585, 2921, 593, 1010, 1007, 2990, 267, 606, 13393, 602, 27711, 875, 1713, 519, 1445, 568, 538, 519, 2136, 2276, 593, 15787, 543, 9031, 543, 519, 3162, 543, 6239, 7489, 4525, 811, 17618, 563, 5353, 4038, 776, 27176, 267, 519, 16470, 27176, 5063, 4330, 15787, 547, 519, 772, 2529, 269, 6837, 607, 30286, 968, 712, 6574, 4108, 4161, 1318, 1631, 1848, 1306, 646, 7074, 267, 938, 4909, 6662, 538, 15787, 568, 547, 2327, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 19615, 1315, 13639, 1315, 4937, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269, 0, 6092, 5149, 281, 13262, 22159, 10613, 692, 8702, 267, 1647, 1153, 1053, 256, 4653, 649, 2811, 2469, 547, 1451, 827, 2566, 5786, 2409, 602, 666, 948, 721, 1745, 18668, 267, 8902, 267, 543, 1732, 9280, 547, 6023, 1272, 781, 2591, 269, 1284, 782, 1205, 14129, 856, 3006, 267, 1318, 286, 6787, 621, 781, 1813, 547, 6780, 267, 4255, 267, 3659, 12416, 267, 610, 824, 1919 ]

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

[ 268, 1174, 519, 9238, 540, 519, 1184, 540, 1374, 1646, 563, 1432, 1377, 568, 519, 1576, 543, 798, 594, 991, 1022, 1880, 1983, 888, 1607, 568, 513, 14987, 685, 1576, 563, 2791, 1058, 2972, 3384, 707, 5373, 1983, 543, 581, 2111, 547, 946, 2338, 543, 581, 2111, 547, 798, 2241, 7403, 543, 9273, 269, 1411, 1058, 581, 2111, 1224, 513, 4341, 547, 14377, 7403, 883, 5373, 563, 1692, 786, 594, 581, 6026, 267, 543, 786, 972, 581, 1022, 960, 3544, 519, 1362, 888, 763, 1576, 568, 513, 4052, 3946, 6823, 1576, 1210, 13016, 15872, 543, 4052, 5751, 547, 1020, 707, 1983, 543, 2093, 269, 1411, 786, 960, 593, 4207, 9703, 5624, 267, 519, 1544, 585, 799, 786, 581, 3177, 563, 2791, 786, 723, 519, 4316, 547, 2744, 689, 11461, 9263, 5955, 593, 2123, 1374, 3785, 543, 5751, 563, 763, 1576, 786, 1331, 693, 2547, 835, 267, 7654, 1079, 1055, 3135, 11564, 269, 4841, 991, 547, 6718, 741, 1378, 17914, 585, 1857, 3560, 563, 2791, 786, 581, 6026, 1210, 513, 2039, 540, 2553, 1519, 11925, 267, 2110, 15872, 267, 23405, 267, 4052, 5751, 267, 18862, 267, 1895, 543, 1367, 6351, 543, 1688, 268, 8083, 269, 7490, 4063, 519, 4975, 22175, 3096, 11197, 5839, 5904, 538, 519, 5071, 801, 3930, 563, 6701, 972, 1022, 824, 3790, 286, 1772, 972, 4376, 594, 991, 547, 3142, 888, 2171, 4363, 602, 596, 3142, 707, 1378, 17250, 1504, 610, 17250, 25247, 267, 589, 275, 269, 1411, 949, 6999, 547, 6718, 707, 1378, 5373, 2326, 1282, 519, 1576, 585, 946, 3544, 1362, 269, 2659, 20131, 786, 581, 6126, 547, 2709, 596, 5796, 563, 2005, 1131, 581, 3730, 547, 3142, 513, 3965, 6529, 630, 528, 15409, 2182, 5397, 1107, 5225, 4063, 7193, 30149, 2182, 11479, 666, 581, 1224, 676, 11197, 5672, 5904, 267, 855, 711, 2854, 547, 28593, 2691, 594, 4312, 8737, 267, 1018, 1576, 666, 594, 798, 1985, 888, 763, 4998, 11144, 1131, 581, 966, 293, 4335, 4975, 22175, 9703, 1374, 1576, 269, 1411, 666, 849, 5360, 2939, 707, 1983, 609, 28220, 10000, 1160, 6030, 966, 293, 4375, 273, 28220, 10000, 1160, 585, 14987, 610, 966, 294, 276, 1691, 28220, 1575, 1160, 14021, 585, 14987, 269, 1411, 666, 849, 2417, 1020, 707, 1983, 609, 513, 2039, 540, 6030, 538, 5071, 543, 14745, 543, 538, 23489, 26598, 269, 0, 277, 269, 21079, 267, 1234, 2224, 267, 1234, 12860, 1862, 543, 1763, 749, 2336, 2171, 4312, 782, 1044, 6026, 602, 649, 1058, 581, 4227, 938, 3653, 267, 556, 6748, 1018, 649, 666, 267, 543, 9657, 4376, 602, 666, 581, 13381, 269, 634, 1482, 666, 581, 1767, 827, 938, 936, 12741, 532, 18930, 687, 585, 2413, 2029, 563, 28074, 540, 519, 11183, 602, 2501, 609, 1585, 11418, 666, 581, 32419, 538, 930, 6752, 269, 2422, 602, 4216, 547, 4558, 707, 2025, 4967, 689, 2852, 267, 585, 1383, 269, 2334, 1482, 21312, 4216, 666, 581, 2322, 883, 513, 4544, 4216, 585, 9657, 267, 855, 519, 9115, 540, 519, 4216, 666, 581, 13381, 1932, 563, 6624, 22875, 723, 3292, 538, 1747, 547, 2569, 552, 2914, 4292, 267, 899, 23987, 24195, 543, 1591, 11436, 269, 1452, 3292, 786, 1491, 707, 2025, 552, 18191, 6064, 543, 2736, 621, 1524, 883, 922, 3334, 269, 17968, 267, 519, 1985, 942, 596, 1205, 513, 1007, 5985, 6049, 267, 6236, 9513, 707, 2025, 835, 547, 2576, 3116, 269, 1358, 1205, 513, 834, 2908, 257, 6049, 543, 4986, 7475, 909, 538, 519, 25087, 563, 289, 21392, 1869, 267, 596, 666, 24946, 707, 2025, 8631, 547, 17493, 269, 5753, 781, 1347, 885, 616, 2141, 538, 991, 540, 1007, 5904, 543, 602, 2186, 540, 3364, 267, 1256, 952, 596, 1589, 602, 891, 5904, 616, 22573, 563, 278, 269, 634, 2961, 623, 10062, 676, 3281, 5962, 5794, 454, 289, 1675, 19342, 286, 28628, 2029, 286, 623, 29888, 2987, 3167, 338, 286, 8409, 616, 865, 2063, 1032, 256, 570, 1092, 7763, 832, 540, 3127, 543, 11022, 296, 540, 5333, 723, 1044, 2182, 693, 960, 593, 513, 11207, 1007, 2186, 540, 1286, 585, 513, 1297, 540, 1296, 543, 621, 1223, 581, 519, 1034, 13476, 7888, 6174, 547, 4266, 563, 15447, 333, 607, 519, 2290, 290, 2969, 267, 713, 1286, 8255, 593, 19316, 2011, 269, 898, 3085, 1405, 991, 1022, 2186, 540, 2027, 3154, 267, 1317, 2834, 2025, 19316, 2011, 568, 2614, 547, 7903, 1346, 16537, 976, 2059, 267, 4412, 2454, 519, 17426, 1286, 693, 11250, 607, 1164, 607, 476, 8099, 14790, 10774, 269, 634, 19316, 2011, 7382, 666, 581, 1201, 2683, 1210, 513, 3044, 19316, 2011, 11718, 269, 589, 2407, 7382, 568, 2614, 547, 6494, 519, 2290, 290, 2969, 2059, 585, 909, 547, 476, 1220, 5998, 693, 513, 942, 563, 2690, 811, 1344, 593, 519, 2290, 290, 2969, 543, 824, 19316, 2011, 6517, 899, 621, 267, 2638, 856, 519, 7127, 593, 9504, 563, 3725, 935, 4290, 532, 3776, 2983, 2131, 344, 543, 5682, 9314, 338, 454, 294, 611, 1326, 575, 2465, 802, 2972, 3478, 1007, 19269, 269, 8950, 575, 2465, 802, 2972, 18175, 15665, 741, 5904, 269, 898, 781, 17149, 269, 2311, 519, 1482, 942, 267, 938, 6639, 4690, 1590, 711, 26418, 1932, 1454, 593, 519, 1604, 267, 1317, 649, 2731, 1152, 723, 835, 17866, 4541, 543, 649, 991, 547, 1491, 1732, 1416, 540, 621, 269, 634, 5722, 4388, 543, 2994, 4330, 1657, 616, 1434, 3268, 538, 519, 1318, 4287, 267, 855, 596, 1058, 1869, 1491, 513, 1906, 8090, 540, 707, 1272, 547, 1589, 827, 1018, 3116, 596, 666, 798, 563, 310, 1779, 547, 519, 2022, 5604, 3079, 540, 6117, 972, 269, 22982, 513, 23431, 547, 974, 9126, 693, 519, 17365, 4558, 3079, 540, 1346, 25551, 5068, 11435, 269, 12305, 3608, 26892, 538, 707, 1753, 269, 1684, 707, 851, 269, 2142, 513, 3039, 2520, 2131, 563, 28097, 901, 9137, 538, 519, 8892, 19972, 338, 7991, 1280, 4548, 454, 18600, 6874, 830, 12313, 543, 14351, 6744, 910, 4855, 2859, 9891, 623, 10062, 717, 611, 12033, 3371 ]

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

[ 2039, 26372, 888, 305, 1052, 26372, 338, 616, 606, 1898, 851, 540, 1169, 10051, 269, 1358, 4894, 30851, 267, 8673, 267, 543, 824, 5739, 5536, 689, 519, 2011, 596, 11375, 1446, 1247, 596, 3434, 269, 634, 3532, 11655, 7485, 519, 2011, 1472, 519, 23041, 9008, 998, 12086, 543, 883, 513, 13811, 585, 9688, 269, 769, 1840, 267, 513, 26372, 666, 2569, 519, 4960, 540, 513, 31294, 3595, 538, 707, 10051, 1317, 2039, 26372, 338, 2973, 519, 2011, 540, 3282, 8673, 543, 31294, 1247, 596, 3434, 269, 901, 7494, 6971, 519, 8458, 540, 3595, 563, 2005, 568, 1271, 547, 4063, 602, 1247, 513, 2039, 26372, 666, 948, 2569, 519, 10171, 540, 31294, 11642, 267, 513, 3595, 666, 1869, 4755, 269, 1656, 31294, 11642, 666, 6633, 1524, 707, 10051, 543, 1753, 267, 865, 5225, 581, 6297, 543, 2628, 3007, 538, 519, 10051, 563, 1432, 568, 513, 31294, 3595, 888, 288, 31294, 3595, 4386, 950, 1426, 610, 5986, 3282, 29598, 3595, 269, 634, 26428, 949, 581, 7920, 543, 6385, 771, 704, 572, 267, 2870, 513, 13818, 1604, 538, 799, 2043, 949, 1831, 16290, 563, 1432, 3123, 31294, 11642, 888, 290, 8504, 3282, 602, 814, 1831, 1932, 3905, 5956, 547, 8673, 543, 5337, 924, 267, 4929, 31294, 11642, 269, 17164, 762, 11041, 5337, 924, 693, 5111, 476, 14596, 674, 7967, 327, 924, 269, 10960, 9600, 5337, 924, 693, 5111, 476, 23841, 18278, 269, 5637, 540, 873, 3914, 891, 5210, 5266, 3533, 269, 4475, 267, 31294, 11642, 616, 1360, 2653, 547, 5337, 924, 543, 666, 3533, 3262, 563, 7212, 6297, 5986, 568, 519, 1655, 1259, 547, 2061, 31294, 11642, 267, 10913, 616, 3006, 796, 28300, 762, 269, 4033, 2009, 3123, 540, 513, 10051, 31294, 3595, 1331, 912, 268, 589, 23041, 9008, 646, 1846, 1932, 3533, 267, 4929, 519, 3282, 547, 1831, 23986, 730, 563, 268, 774, 8089, 13792, 1426, 5196, 3905, 31294, 786, 2014, 621, 547, 8673, 563, 268, 1411, 616, 8600, 513, 9761, 8670, 602, 5671, 1186, 883, 519, 14089, 543, 5337, 2572, 519, 26428, 563, 268, 2659, 23041, 610, 14089, 814, 1044, 2451, 796, 3430, 2105, 585, 513, 9645, 942, 267, 610, 1256, 513, 1906, 7643, 563, 22142, 13248, 1216, 593, 513, 31294, 3595, 269, 1411, 786, 1205, 811, 8673, 267, 543, 519, 3595, 786, 3262, 269, 5502, 267, 946, 513, 3595, 24773, 8718, 269, 1411, 666, 849, 946, 11256, 14614, 610, 6070, 547, 1118, 1507, 11642, 269, 15147, 519, 1858, 609, 513, 19984, 563, 19350, 616, 930, 3595, 24773, 29913, 602, 616, 5827, 540, 8380, 856, 31294, 11642, 563, 4692, 513, 2039, 26372, 2061, 513, 31294, 3595, 888, 2252, 5779, 694, 2130, 267, 3443, 1922, 11538, 267, 543, 8185, 838, 5367, 3536, 616, 28125, 538, 707, 10051, 267, 513, 2039, 26372, 786, 7494, 4217, 596, 269, 1717, 267, 8673, 786, 581, 3812, 952, 596, 946, 513, 2603, 540, 3282, 610, 3434, 609, 1164, 3002, 563, 4407, 596, 3434, 267, 707, 10051, 568, 7213, 6819, 513, 4494, 540, 31294, 269, 6333, 9252, 281, 950, 621, 3579, 338, 267, 621, 21810, 1394, 883, 519, 1216, 269, 26243, 267, 519, 1482, 3364, 4386, 609, 31294, 269, 1411, 666, 1294, 713, 538, 602, 533, 2426, 550, 17627, 602, 15449, 919, 707, 7802, 1310, 5986, 28019, 269, 2334, 568, 519, 5543, 573, 2305, 540, 31294, 593, 596, 563, 3383, 267, 513, 2039, 26372, 2337, 2569, 519, 1981, 540, 513, 31294, 3595, 269, 898, 7575, 3905, 2011, 543, 31294, 5536, 3544, 707, 1753, 547, 2972, 2973, 2011, 269, 898, 849, 8952, 707, 8673, 15372, 689, 2469, 1055, 267, 865, 596, 3580, 723, 930, 4708, 538, 519, 10051, 563, 1692, 666, 596, 2061, 513, 31294, 3595, 888, 2171, 5063, 5950, 513, 6131, 2376, 7234, 875, 547, 9108, 2322, 856, 513, 31294, 3595, 267, 865, 581, 2386, 547, 2638, 602, 856, 269, 769, 1840, 267, 2630, 616, 513, 1906, 3606, 4388, 547, 948, 2061, 513, 31294, 3595, 689, 8345, 538, 519, 1101, 1747, 563, 268, 1879, 596, 26650, 267, 4585, 707, 26282, 865, 602, 596, 1810, 1406, 3002, 519, 3282, 3564, 922, 8673, 1448, 563, 268, 1879, 519, 23041, 568, 593, 267, 581, 2386, 547, 2628, 3007, 563, 268, 11162, 707, 23041, 5111, 1169, 2185, 547, 3670, 4374, 563, 268, 1879, 31068, 267, 581, 6297, 711, 547, 1205, 3282, 10943, 2660, 563, 268, 1879, 2009, 267, 3382, 17428, 543, 31781, 609, 561, 1749, 563, 268, 19331, 1564, 267, 959, 633, 1206, 267, 543, 14089, 5378, 1206, 1058, 581, 6854, 2476, 689, 519, 23041, 563, 268, 674, 787, 1152, 3819, 1426, 282, 798, 711, 26650, 13792, 3536, 538, 707, 1753, 26650, 518, 269, 2659, 26650, 518, 1223, 24492, 952, 3282, 543, 1216, 616, 711, 6404, 563, 13425, 856, 713, 3381, 1572, 1215, 547, 10925, 4934, 513, 13983, 848, 9605, 689, 519, 1215, 4751, 13334, 8756, 547, 1294, 1018, 547, 798, 543, 1018, 711, 547, 798, 950, 7231, 609, 513, 31294, 3595, 563, 21761, 4280, 2055, 630, 11902, 304, 994, 19350, 616, 930, 540, 519, 1034, 4122, 4280, 2055, 3823, 31294, 11642, 563, 4692, 2039, 26372, 338, 2061, 513, 31294, 3595, 888, 288, 2039, 26372, 6971, 519, 7872, 540, 513, 31294, 3595, 269, 898, 1163, 1564, 3905, 2011, 543, 6067, 6470, 5536, 689, 707, 1753, 267, 3850, 596, 547, 13236, 2973, 2011, 269, 898, 849, 11151, 707, 8673, 15372, 689, 3280, 532, 267, 4758, 596, 4708, 538, 519, 10051, 563, 2710, 2039, 26372, 338, 5351, 538, 31294, 8851, 888, 8133, 256, 634, 2039, 26372, 779, 1034, 1713, 1599, 568, 547, 2087, 519, 2011, 2298, 538, 707, 10051, 269, 32431, 338, 616, 5497, 547, 4894, 30851, 267, 8673, 267, 3282, 267, 543, 824, 23606, 689, 519, 2011, 950, 5986, 563, 4263, 1018, 2837, 1281, 31294, 5337, 924, 888, 7197, 11041, 2253, 547, 8673, 693, 10199, 476, 14596, 5232, 18278, 543, 5337, 924, 693, 1472, 476, 4335, 5232, 18278, 269, 13068, 519, 2230, 1472, 707, 23041, 540, 12318, 1043, 1919, 971, 607, 3434, 9248, 610, 1957, 28734, 269, 1403, 513, 31294, 3595, 19082, 3564, 519, 23041, 267, 621, 666, 4166, 1831, 856, 540, 1852, 563, 3674, 31294, 19221, 5906, 888, 763, 31294, 568, 1166, 30100, 269, 901, 4679, 519, 10171, 540, 513, 3595, 538, 707, 10051, 269, 901, 666, 2014, 3959, 3441, 267, 5945, 267, 543, 1256, 2669, 952, 621, 3884, 1406, 9619, 5612, 269, 589, 3318, 2039, 26372, 666, 948, 547, 2569, 31294, 19221, 267, 18227, 3282, 543, 31294, 5536, 693, 15922, 563, 3674, 8781, 31294, 5739, 888, 8133, 267, 621, 568, 5393, 5739, 547, 6633, 31294, 269, 22165, 3107, 621, 538, 666, 581, 5739, 267, 543, 621, 666, 6633, 519, 2960, 543, 1267, 538, 4049, 2034, 610, 3791, 24266, 17236, 269, 1684, 711, 946, 1216, 547, 1159, 1278, 513, 31294, 3595, 269, 634, 31294, 3595, 779, 10943, 2660, 949, 6633, 596, 269, 898, 949, 3262, 547, 19683, 267, 4831, 339, 3591, 267, 6821, 267, 543, 824, 2127, 538, 519, 10051, 563, 305, 1052, 26372, 338, 13497, 2569, 519, 10171, 540, 31294, 11642, 269, 589, 2039, 26372, 7575, 31294, 5536, 543, 3905, 2011, 3544, 707, 1753, 865, 602, 596, 666, 13236, 2973, 2011, 269, 1411, 3580, 849, 723, 4708, 540, 2247, 538, 707, 10051, 1317, 621, 11151, 707, 8673, 32302, 689, 2469, 1055, 1510, 9963, 269, 1411, 1058, 2141, 581, 593, 519, 1413, 719, 585, 1022, 3595, 269, 11162, 707, 23041, 5781, 547, 2569, 519, 4960, 540, 513, 31294, 3595, 2417, 563, 1607, 2376, 5941, 875, 513, 2039, 26372, 666, 948, 2061, 513, 31294, 3595, 543, 875, 596, 666, 1852, 513, 31294, 3595, 1354, 621, 4991, 856, 540, 1852, 563, 268, 589, 2039, 26372, 666, 7494, 2569, 519, 4960, 540, 513, 31294, 3595, 538, 707, 10051, 563, 268, 13983, 848, 11642, 616, 3361, 676, 5986, 3282, 602, 814, 1831, 1932, 3905, 267, 6238, 547, 8673, 267, 543, 1287, 5337, 2572, 563, 268, 4107, 11041, 2253, 547, 8673, 693, 10199, 476, 14596, 5232, 18278, 543, 5337, 924, 693, 1472, 476, 4335, 5232, 18278, 563, 3383, 267, 798, 596, 1745, 8746, 602, 596, 666, 2061, 513, 31294, 3595, 286, 1656, 1018, 1705, 596, 1589, 540, 713, 2022, 286, 9894, 596, 2648, 621, 286, 9894, 596, 13842, 621, 286, 1215, 1131, 596, 2557, 621, 286, 2913, 721, 917, 538, 519, 8292, 3296, 2630, 630, 296, 1224, 543, 16253, 547, 1169, 6085, 1040, 1403, 596, 1336, 713, 2376, 5363, 267, 2638, 856, 1250, 2407, 5816, 585, 811, 4388, 543, 15361, 585, 707, 10051, 269, 8729, 585, 2542, 267, 543, 3251, 2922, 269, 0, 6124, 1636, 5398, 12140, 1185, 741, 4098, 609, 1715, 1636, 781, 15713, 538, 476, 9692, 276, 676, 29962, 6276, 13177, 269, 634, 1101, 1153, 3135, 729, 24603, 676, 13177, 269, 898, 729, 593, 713, 1153, 3135, 602, 519, 1533, 1101, 5750, 539, 513, 1153, 547, 581, 3710, 267, 519, 1715, 1636, 9142, 538, 476, 9692, 275, 268, 7176, 269, 901, 568, 519, 1459, 3135, 540, 476, 275, 628, 9335, 3427, 2221, 563, 763, 1101, 1863, 1857, 1153, 729, 513, 2845, 19970, 4092, 593, 16410, 582, 9335, 268, 852, 6239, 22971, 268, 12671, 476, 8146, 277, 269, 1635, 476, 8146, 279, 1715, 1636, 5398, 12140, 941, 1134, 3964, 543, 676, 476, 7277, 280, 1185, 922, 1378, 1164, 1153, 269, 769, 476, 6977, 277, 972, 941, 2947, 1455, 3506, 543, 513, 1164, 1153, 538, 5106, 563, 6635, 333, 1245, 16504, 3427, 1948, 272, 2000, 11343, 8385, 593, 519, 16410, 582, 9335, 3135, 267, 713, 1153, 729, 513, 1614, 1650, 15839, 2497, 3710, 538, 476, 4572, 275, 269, 901, 1153, 849, 1185, 519, 2012, 540, 6239, 22971, 3427, 269, 15907, 476, 3707, 271, 713, 2679, 729, 14324, 1524, 543, 1776, 3710, 6251, 547, 519, 1647, 540, 519, 3625, 269, 901, 2679, 1572, 28199, 16504, 1948, 273, 607, 1134, 607, 476, 273, 526, 10588, 267, 729, 3773, 5196, 538, 476, 4198, 278, 543, 6368, 6806, 538, 476, 2735, 272, 563, 17357, 16476, 2441, 328, 5783, 3427, 1532, 1122, 534, 1472, 476, 7277, 275, 543, 676, 476, 7277, 279, 1185, 606, 10026, 1153, 693, 741, 476, 277, 628, 9335, 3135, 269, 1635, 476, 5908, 274, 513, 1614, 1650, 15839, 2679, 729, 2322, 909, 269, 769, 476, 5002, 274, 1813, 547, 519, 3586, 3463, 540, 6360, 267, 1776, 1153, 729, 3710, 269, 23850, 547, 1413, 899, 513, 5053, 5692, 267, 3710, 540, 4224, 543, 1185, 1614, 2984, 269, 769, 476, 4572, 273, 4856, 16476, 2441, 328, 4400, 3427, 543, 20497, 3427, 8118, 593, 1772, 629, 7578, 9335, 538, 513, 1079, 1650, 15839, 1153, 2679, 269, 901, 1153, 6806, 543, 24673, 609, 1866, 547, 1831, 519, 10513, 13336, 28133, 4400, 3427, 538, 519, 853, 269, 14731, 632, 19833, 2679, 563, 290, 1774, 5696, 650, 5050, 5991, 792, 9835, 543, 5244, 22971, 269, 634, 1858, 729, 24509, 539, 883, 1715, 1636, 543, 519, 1153, 2968, 851, 540, 519, 1715, 1636, 1153, 1062, 563, 291, 7702, 595, 17026, 902, 16504, 5991, 3139, 585, 519, 5244, 22971, 3427, 1310, 513, 3595, 538, 476, 3707, 271, 8697, 519, 1153, 269, 898, 729, 32206, 543, 1031, 2394, 621, 6806, 538, 476, 2735, 271, 563, 292, 770, 1849, 604, 2023, 3427, 268, 19327, 24509, 539, 676, 1715, 1636, 269, 634, 1153, 568, 1631, 851, 540, 519, 1715, 1636, 1153, 1062, 563, 12626, 3427, 19945, 2989, 538, 476, 8687, 271, 676, 6004, 269, 543, 11427, 269, 6723, 9796, 928, 689, 9098, 269, 1358, 9901, 1269, 273, 829, 10116, 540, 22221, 4374, 563, 19177, 628, 9335, 3427, 32472, 538, 476, 4350, 277, 3459, 607, 606, 10026, 1153, 543, 538, 476, 4198, 277, 1185, 513, 28133, 4400, 3773, 547, 621, 269, 901, 25412, 3625, 1279, 2679, 18795, 593, 519, 3135, 540, 519, 3312, 1715, 1636, 9142, 543, 1715, 1636, 4400, 3427, 1948, 272, 3135, 267, 593, 2244, 2016, 676, 6276, 13177, 269, 898, 5170, 607, 606, 10026, 1153, 563, 294, 8681, 1613, 3427, 12845, 10811, 539, 676, 1715, 1636, 563, 295, 1551, 529, 3427, 8584, 7406, 1153, 593, 476, 280, 628, 9335, 269, 898, 729, 26948, 519, 715, 12764, 9335, 3427, 950, 513, 1007, 476, 1626, 4055, 15839, 1153, 729, 3710, 563, 3412, 332, 659, 592, 1092, 9142, 2914, 553, 513, 1164, 1153, 602, 3459, 538, 476, 5908, 272, 269, 769, 476, 5908, 275, 513, 7381, 1153, 2679, 729, 3710, 269, 9737, 476, 6245, 279, 268, 5002, 272, 606, 3606, 2679, 729, 1031, 269, 634, 1153, 6806, 538, 476, 4350, 273, 543, 519, 2679, 729, 14324, 1524, 538, 476, 3707, 271, 563, 3412, 332, 659, 3634, 1230, 4003, 23867, 8118, 607, 606, 10026, 1153, 538, 476, 6977, 278 ]

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

[ 0, 268, 7216, 13012, 7690, 15099, 454, 268, 15099, 23794, 272, 1299, 23794, 273, 454, 268, 2296, 693, 570, 18967, 4141, 454, 268, 13174, 693, 570, 18967, 4141, 454, 268, 3163, 693, 570, 18967, 4141, 454, 268, 18027, 693, 570, 18967, 4141, 454, 268, 8535, 693, 570, 18967, 4141, 454, 268, 5071, 543, 5303, 693, 570, 18967, 4141, 454, 268, 3203, 693, 570, 18967, 4141, 454, 268, 17270, 693, 570, 18967, 4141, 454, 268, 11555, 693, 570, 18967, 4141, 454, 268, 13662, 4047, 693, 570, 18967, 4141, 454, 268, 3943, 693, 570, 18967, 4141, 454, 268, 3778, 693, 570, 18967, 4141, 454, 268, 17323, 693, 570, 18967, 4141, 454, 268, 570, 18967, 4141, 3427, 4804, 25024, 454, 268, 30947, 1912, 9582, 693, 570, 18967, 4141, 454, 14532, 693, 570, 18967, 4141, 454, 13750, 618, 2271, 550, 1107, 3778, 454, 5978, 2832, 693, 570, 18967, 4141, 12729, 568, 547, 1450, 10453, 547, 2263, 1686, 998, 606, 679, 11431, 1759, 6437, 269, 1284, 1616, 547, 3595, 10453, 685, 7279, 827, 519, 2250, 538, 6628, 543, 519, 9962, 1158, 269, 1284, 3494, 602, 6998, 2055, 827, 519, 2250, 568, 3844, 547, 513, 1434, 1686, 6437, 269, 769, 3778, 10453, 616, 9415, 547, 2243, 741, 1620, 540, 519, 2250, 3850, 873, 547, 2972, 782, 602, 3778, 814, 547, 2709, 269, 1403, 10453, 616, 2111, 547, 4983, 519, 2250, 267, 1453, 616, 811, 2693, 547, 2307, 2055, 827, 519, 1459, 1554, 269, 1284, 1616, 547, 16491, 1453, 609, 519, 2645, 547, 1589, 899, 12206, 267, 6313, 2250, 7239, 267, 4974, 7506, 543, 3527, 540, 2043, 543, 741, 1764, 593, 938, 1699, 2486, 269, 1677, 2327, 519, 1453, 786, 723, 513, 1434, 3178, 540, 1702, 267, 649, 786, 2285, 10453, 3255, 547, 4983, 2963, 20604, 909, 543, 7234, 270, 19163, 741, 1448, 540, 2070, 547, 1118, 741, 1378, 8753, 269, 5753, 786, 1353, 513, 3376, 5402, 9709, 6437, 799, 786, 5512, 1453, 693, 741, 4143, 1883, 3942, 547, 1020, 741, 1620, 540, 12225, 1108, 563, 7437, 519, 946, 540, 818, 974, 2399, 543, 3078, 15143, 267, 10453, 2744, 606, 538, 3829, 1620, 540, 1713, 2621, 538, 3703, 1686, 607, 1134, 607, 19825, 875, 1919, 1689, 936, 942, 269, 9453, 3778, 267, 972, 1131, 581, 1100, 2104, 2336, 8450, 2630, 585, 513, 5299, 540, 519, 1686, 3084, 6437, 563, 306, 2869, 3770, 267, 26874, 267, 4317, 543, 8836, 4886, 538, 3778, 693, 570, 18967, 4141, 3427, 454, 763, 1353, 540, 1686, 3322, 513, 2631, 540, 7279, 543, 519, 9814, 540, 875, 543, 1946, 2621, 538, 519, 2250, 5949, 543, 12651, 2055, 607, 547, 1018, 1223, 723, 5949, 952, 2621, 1185, 1185, 1114, 2164, 269, 1488, 974, 30440, 616, 1031, 547, 2285, 10453, 513, 2631, 540, 519, 2250, 543, 5351, 10453, 538, 1620, 519, 1004, 945, 3812, 543, 1031, 891, 3615, 269, 32167, 2812, 616, 9415, 547, 2263, 519, 1909, 5129, 676, 1271, 2043, 267, 585, 1434, 610, 2192, 267, 538, 519, 5935, 540, 519, 1158, 649, 2661, 538, 269, 32167, 2812, 849, 2992, 2390, 1114, 12496, 540, 519, 2250, 543, 875, 891, 12496, 723, 1044, 8452, 693, 563, 303, 1575, 2812, 616, 4280, 547, 2015, 543, 6085, 593, 5837, 2055, 543, 21140, 269, 15638, 543, 4978, 538, 519, 2250, 786, 1419, 581, 693, 12918, 609, 1018, 649, 1131, 2015, 30849, 2221, 269, 630, 1656, 941, 547, 930, 1004, 538, 519, 2250, 849, 4700, 32167, 2812, 786, 581, 9415, 547, 1397, 8296, 585, 1004, 6849, 21140, 543, 547, 26003, 1047, 609, 3664, 602, 1004, 538, 519, 2250, 1500, 543, 519, 7744, 3297, 741, 3664, 269, 3502, 687, 540, 1318, 610, 4636, 616, 8268, 538, 4276, 609, 2621, 689, 519, 2250, 267, 16046, 609, 519, 1871, 540, 5126, 563, 303, 1575, 2812, 786, 2263, 519, 10486, 543, 24716, 1063, 2250, 543, 1459, 7239, 543, 581, 1500, 3222, 540, 875, 267, 538, 519, 1292, 267, 649, 616, 1360, 26752, 547, 2661, 538, 519, 2413, 1158, 267, 799, 6402, 609, 519, 1871, 540, 9684, 6888, 269, 1358, 786, 4983, 875, 824, 4529, 723, 1185, 513, 2101, 1764, 593, 519, 1646, 540, 3703, 2528, 269, 32167, 2812, 786, 849, 581, 9415, 547, 1628, 909, 741, 1378, 1514, 1646, 998, 10319, 543, 2319, 2324, 2238, 269, 634, 1353, 540, 1514, 2152, 568, 513, 1455, 6249, 538, 1686, 4245, 693, 570, 18967, 4141, 563, 303, 1575, 2812, 786, 1353, 267, 543, 581, 9415, 547, 2744, 543, 1620, 540, 267, 543, 26003, 1047, 609, 267, 1004, 689, 1114, 10080, 269, 1358, 786, 4983, 875, 824, 4529, 723, 1185, 513, 2101, 1764, 593, 519, 1646, 540, 3703, 2528, 269, 32167, 2812, 1020, 513, 1732, 1620, 540, 938, 3818, 2686, 2486, 998, 4974, 6402, 1063, 2199, 2073, 3703, 267, 3864, 543, 1158, 1686, 269, 634, 9295, 540, 1114, 4529, 547, 1480, 1646, 543, 3356, 616, 6594, 267, 799, 6402, 609, 519, 2418, 540, 7326, 543, 16608, 563, 2414, 1265, 856, 811, 827, 1018, 649, 4001, 538, 1686, 693, 570, 18967, 4141, 3427, 5225, 4945, 593, 519, 6402, 2630, 269, 0, 4415, 519, 12306, 4365, 543, 2799, 5210, 267, 621, 568, 4502, 22348, 707, 2383, 540, 519, 1655, 2853, 950, 7311, 1216, 547, 513, 15989, 563, 763, 6371, 2030, 1281, 711, 991, 519, 2179, 540, 1216, 930, 1004, 1589, 267, 607, 621, 568, 6923, 2966, 547, 946, 7509, 998, 4764, 7561, 563, 3719, 952, 12624, 7186, 1281, 711, 1683, 2614, 4764, 547, 2285, 721, 519, 15989, 649, 7287, 267, 7227, 2394, 519, 6371, 20585, 338, 538, 7990, 610, 5956, 547, 1694, 6366, 543, 530, 2830, 1310, 544, 12976, 607, 519, 4191, 602, 12555, 568, 2877, 563, 2691, 547, 4826, 519, 4521, 333, 454, 4407, 7509, 568, 606, 1898, 851, 540, 4509, 513, 2635, 15989, 267, 621, 779, 1271, 547, 1118, 2386, 602, 1216, 568, 4294, 693, 519, 2953, 942, 540, 1554, 267, 607, 1210, 513, 20057, 2401, 693, 519, 4636, 942, 786, 1267, 538, 2527, 21381, 540, 519, 1216, 543, 513, 3152, 4960, 540, 2068, 563, 12850, 532, 538, 519, 6640, 630, 2181, 2536, 2406, 1354, 476, 1015, 513, 6230, 4700, 568, 519, 1655, 942, 585, 519, 6371, 2030, 267, 3850, 1216, 547, 581, 12842, 998, 519, 5072, 1354, 519, 5210, 4473, 547, 513, 1377, 1141, 519, 1216, 4294, 786, 581, 4503, 547, 519, 27069, 21381, 563, 21446, 8271, 267, 596, 666, 1205, 14450, 538, 519, 2038, 10543, 267, 23679, 1063, 476, 276, 10681, 543, 476, 279, 10681, 267, 607, 609, 519, 3476, 21765, 3108, 267, 713, 786, 1450, 585, 519, 6371, 6978, 547, 3819, 1354, 3781, 6420, 267, 3648, 4227, 519, 8458, 540, 2068, 563, 22142, 1216, 606, 3964, 15989, 1063, 519, 3108, 540, 476, 1321, 29869, 543, 476, 274, 10681, 267, 607, 711, 1152, 786, 21381, 1831, 606, 3390, 267, 855, 972, 568, 519, 3773, 1761, 585, 6978, 1085, 25403, 1282, 3665, 5210, 563, 1692, 13518, 4826, 547, 2422, 454, 2691, 14450, 606, 3964, 15989, 267, 596, 991, 547, 798, 865, 585, 1279, 2614, 547, 2226, 7509, 538, 519, 3037, 9043, 547, 513, 3178, 540, 5111, 476, 5611, 7825, 630, 277, 6279, 1916, 6826, 2386, 711, 547, 936, 4248, 519, 15989, 267, 607, 7050, 7509, 538, 519, 5580, 2627, 786, 1291, 547, 13719, 3597, 532, 267, 799, 538, 2490, 786, 2285, 519, 3501, 2175, 585, 707, 6371, 547, 21707, 563, 12850, 532, 1169, 1554, 568, 711, 2556, 267, 513, 5021, 540, 476, 274, 2053, 513, 3018, 267, 585, 476, 736, 3764, 829, 1554, 568, 2614, 547, 2226, 2614, 7509, 538, 8236, 2178, 2208, 543, 8716, 2620, 5072, 563, 12850, 532, 1310, 519, 15989, 814, 1044, 936, 521, 1144, 454, 2691, 14450, 513, 9241, 6079, 539, 15989, 267, 519, 1883, 568, 547, 1832, 519, 1283, 476, 1839, 7825, 263, 272, 10759, 264, 540, 3037, 9846, 5848, 855, 711, 15459, 563, 2791, 786, 2693, 991, 547, 1216, 519, 6079, 539, 1858, 2899, 610, 7466, 513, 1554, 630, 28785, 519, 2038, 6640, 543, 10543, 5712, 616, 519, 9053, 2053, 1916, 5629, 519, 5452, 1376, 547, 10351, 3729, 267, 2226, 519, 14450, 543, 3037, 7509, 538, 519, 5580, 15989, 2627, 2394, 519, 6371, 6978, 10301, 476, 1839, 7825, 267, 693, 799, 1448, 519, 14450, 1184, 2115, 547, 581, 2759, 1394, 547, 7466, 829, 3018, 267, 799, 7512, 519, 5072, 547, 1332, 4514, 563, 2414, 1265, 707, 2199, 22427, 16675, 15989, 1416, 3028, 4945, 1934, 269, 0, 14549, 4064, 798, 711, 1847, 11179, 2059, 513, 1899, 540, 1257, 1247, 2542, 282, 3079, 267, 789, 7914, 2066, 519, 1899, 538, 4028, 5322, 630, 4385, 607, 521, 3147, 3547, 1070, 1063, 891, 521, 3147, 3547, 519, 4064, 3247, 585, 513, 6824, 540, 7643, 630, 25785, 725, 1916, 288, 6516, 6029, 519, 521, 3147, 3547, 630, 329, 7927, 264, 543, 4368, 725, 630, 11985, 4926, 264, 1282, 519, 2542, 1184, 563, 1103, 519, 22100, 267, 519, 535, 913, 320, 568, 513, 3844, 8486, 7768, 540, 17401, 14095, 25862, 538, 519, 3750, 799, 616, 3743, 585, 519, 8325, 3844, 5075, 849, 1634, 607, 535, 913, 531, 5075, 269, 634, 3845, 519, 3750, 7575, 538, 1142, 521, 3147, 1228, 568, 1063, 476, 272, 1700, 736, 3197, 609, 519, 3328, 1373, 476, 278, 1700, 280, 3197, 269, 634, 521, 3147, 3547, 2063, 585, 476, 736, 1700, 2412, 916, 267, 543, 1282, 713, 942, 519, 5075, 568, 26793, 267, 1100, 1007, 1344, 568, 9715, 563, 288, 6516, 6029, 519, 535, 913, 531, 267, 1612, 2378, 913, 531, 267, 543, 15672, 4525, 1247, 2542, 513, 1899, 540, 1257, 269, 634, 12297, 1540, 1899, 538, 519, 1647, 4564, 519, 4087, 540, 30651, 269, 12810, 1759, 593, 3474, 2378, 913, 531, 4393, 538, 2542, 267, 4179, 2517, 15062, 269, 5614, 518, 2593, 270, 14835, 270, 1015, 269, 23841, 279, 4882, 16328, 1691, 1700, 18733, 1700, 28512, 280, 1700, 273, 454, 6097, 547, 2090, 2059, 609, 519, 535, 913, 531, 1858, 267, 519, 1612, 2378, 913, 531, 1858, 849, 814, 513, 4105, 1909, 538, 6024, 2542, 269, 744, 685, 8802, 534, 514, 1010, 1353, 7150, 602, 519, 1985, 2262, 7506, 519, 3259, 540, 521, 3147, 3547, 281, 3476, 1913, 1267, 538, 3476, 521, 3147, 3547, 543, 2110, 1913, 723, 2110, 521, 3147, 3547, 269, 4935, 621, 666, 581, 1767, 602, 519, 1612, 2378, 913, 531, 3148, 4249, 513, 2565, 1909, 538, 6024, 2542, 543, 1058, 581, 3144, 883, 2272, 1247, 8888, 1826, 5865, 547, 581, 1031, 538, 8121, 3156, 585, 3476, 1257, 4259, 563, 918, 269, 744, 685, 8802, 534, 267, 28850, 547, 28850, 6513, 540, 16685, 590, 3147, 3547, 607, 513, 9577, 540, 7956, 783, 30352, 538, 7335, 267, 11855, 538, 589, 269, 30709, 619, 267, 631, 9950, 269, 654, 1503, 26684, 1299, 670, 269, 25376, 2742, 267, 630, 2644, 1070, 14409, 540, 6250, 1043, 5678, 267, 1715, 3840, 281, 1773, 523, 636, 4964, 267, 476, 3192, 280, 267, 6032, 269, 476, 5392, 1700, 2568, 0, 1103, 4948, 1272, 267, 649, 10355, 3247, 547, 1589, 827, 782, 519, 6946, 3157, 602, 11179, 2049, 538, 938, 1560, 269, 1548, 4523, 547, 1973, 4006, 2157, 950, 835, 1236, 2354, 12899, 267, 8255, 513, 2261, 25070, 267, 610, 22655, 838, 698, 515, 26152, 543, 513, 4062, 540, 10217, 14735, 286, 1548, 798, 938, 2281, 798, 609, 782, 602, 4006, 888, 1607, 1565, 1982, 568, 2966, 547, 6338, 596, 547, 1973, 7280, 7939, 269, 634, 1982, 5956, 609, 606, 7650, 540, 519, 1523, 540, 27921, 269, 1411, 786, 1287, 1451, 827, 519, 8219, 267, 8031, 267, 2281, 267, 543, 6675, 3238, 538, 519, 5826, 540, 1973, 7280, 27921, 269, 7053, 267, 596, 786, 1451, 827, 519, 12556, 540, 7280, 1369, 2281, 563, 26796, 12032, 540, 713, 1565, 1982, 267, 596, 786, 581, 2111, 547, 281, 912, 20779, 2970, 622, 519, 2956, 540, 1973, 7280, 27921, 563, 8266, 519, 8219, 267, 8031, 267, 2281, 267, 543, 6675, 3238, 538, 1973, 7280, 7939, 563, 23737, 519, 1523, 540, 2942, 5955, 1852, 543, 21087, 2065, 7939, 563, 11073, 1467, 519, 10408, 12556, 540, 7280, 563, 13993, 302, 7495, 24639, 294, 2752, 681, 9680, 308, 6369, 3582, 454, 10908, 26651, 543, 6052, 454, 306, 13610, 17796, 630, 514, 4156, 543, 5007, 994, 8448, 15240, 1734, 5853, 538, 10552, 454, 31863, 10552, 17491, 681, 5190, 454, 763, 7754, 17759, 630, 3674, 7410, 540, 700, 9734, 327, 753, 994, 27246, 540, 10552, 17491, 12071, 9822, 725, 454, 2704, 6495, 19204, 543, 3794, 1075, 6782, 630, 9711, 593, 14817, 14231, 267, 25026, 4094, 565, 1736, 994, 306, 728, 8074, 281, 11916, 29362, 910, 14523, 16570, 20945, 454, 289, 9508, 19204 ]

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

[ 18220, 938, 1702, 540, 519, 5686, 540, 1919, 972, 616, 538, 519, 1158, 269, 570, 3539, 938, 2250, 2833, 547, 938, 1459, 4205, 609, 519, 1604, 267, 789, 5512, 721, 547, 5431, 543, 1174, 1007, 3615, 543, 2621, 269, 16610, 616, 849, 4143, 547, 1620, 11890, 971, 607, 1514, 3871, 267, 7209, 2010, 267, 543, 1256, 7499, 6163, 269, 8616, 899, 824, 5039, 10999, 2241, 5042, 3157, 971, 607, 6972, 610, 1620, 4633, 267, 1523, 5250, 543, 946, 616, 544, 5417, 2287, 569, 1950, 269, 0, 763, 544, 754, 545, 656, 26112, 13489, 1042, 909, 519, 17069, 864, 547, 6411, 540, 10178, 520, 673, 679, 332, 640, 563, 293, 26698, 597, 910, 4408, 8385, 1374, 908, 1152, 519, 544, 754, 545, 656, 9753, 1916, 2690, 713, 2601, 267, 543, 1317, 3592, 689, 519, 4098, 519, 2165, 834, 615, 332, 1080, 257, 2968, 513, 3765, 333, 9593, 630, 1721, 789, 14460, 519, 24301, 543, 5030, 5572, 1302, 538, 10034, 1070, 789, 19486, 1851, 519, 2003, 1513, 267, 543, 2968, 519, 8772, 540, 519, 544, 754, 545, 656, 9753, 563, 16352, 9310, 538, 1813, 942, 267, 543, 513, 2034, 942, 1310, 519, 2669, 540, 1010, 1101, 7385, 267, 646, 5030, 607, 513, 834, 5264, 14516, 257, 630, 326, 686, 13757, 15925, 264, 11489, 519, 2085, 540, 476, 2190, 267, 950, 646, 15646, 6407, 1010, 1920, 13218, 543, 1305, 856, 607, 513, 3909, 544, 754, 545, 656, 630, 341, 2967, 4048, 514, 1070, 9683, 1282, 519, 1985, 3670, 1296, 519, 9030, 4025, 540, 31145, 538, 7187, 3127, 267, 543, 840, 2286, 609, 7415, 1967, 1010, 14985, 540, 13225, 752, 16210, 267, 610, 13730, 20174, 547, 30730, 267, 607, 519, 10966, 1546, 640, 563, 763, 5013, 7282, 519, 4473, 540, 519, 2107, 10249, 540, 21780, 545, 656, 29443, 1513, 616, 1644, 538, 519, 4930, 593, 519, 1896, 9753, 630, 293, 3757, 322, 4593, 753, 267, 18067, 15092, 267, 25844, 601, 2572, 267, 4864, 15687, 19555, 1080, 1070, 543, 538, 602, 2201, 3933, 2880, 1143, 630, 31086, 594, 328, 1070, 1141, 519, 3017, 1063, 2003, 1513, 543, 26112, 568, 6045, 269, 0, 11328, 18283, 550, 4112, 657, 633, 13081, 454, 268, 476, 277, 3933, 2195, 3516, 454, 296, 3633, 3322, 20443, 14501, 540, 791, 14601, 267, 10728, 267, 8909, 2065, 7180, 610, 14220, 11913, 856, 10767, 7370, 538, 799, 835, 23465, 14407, 569, 856, 540, 8167, 547, 519, 3510, 269, 23582, 6057, 267, 4155, 30270, 267, 8840, 3615, 267, 18530, 1919, 610, 824, 2191, 21915, 337, 4548, 949, 581, 4191, 540, 26740, 23292, 4524, 269, 4658, 609, 713, 4524, 4043, 547, 4323, 1866, 607, 1134, 607, 741, 22590, 4929, 15629, 5945, 543, 3959, 3441, 563, 763, 23292, 14501, 2356, 2063, 1447, 982, 476, 1789, 3764, 543, 949, 2049, 538, 13421, 610, 581, 9674, 676, 3275, 610, 4374, 540, 1875, 268, 12000, 1833, 269, 769, 1063, 891, 23292, 856, 10767, 7370, 267, 519, 1367, 949, 581, 791, 14601, 267, 10728, 610, 14220, 269, 0, 8072, 2005, 568, 9444, 741, 17145, 6862, 741, 1973, 602, 10301, 16589, 282, 621, 568, 707, 14039, 1214, 602, 10301, 1864, 10200, 910, 763, 13411, 15878, 685, 534, 476, 2420, 281, 4391, 454, 304, 18076, 328, 568, 519, 3909, 2259, 540, 27531, 13184, 1282, 661, 573, 12804, 268, 3849, 3873, 269, 898, 568, 530, 1690, 756, 1107, 928, 10354, 585, 1169, 9921, 7332, 945, 568, 20019, 2111, 547, 840, 845, 15878, 3316, 328, 269, 769, 519, 2680, 602, 835, 568, 8572, 547, 4163, 856, 519, 15093, 1282, 661, 573, 267, 610, 538, 519, 1079, 2395, 799, 1246, 267, 646, 24172, 568, 8078, 539, 547, 24946, 519, 1871, 540, 513, 9384, 4716, 3662, 563, 304, 18076, 328, 568, 513, 2245, 602, 2501, 547, 721, 689, 519, 21024, 594, 3630, 29538, 630, 553, 264, 543, 1010, 5067, 1772, 21166, 630, 553, 1040, 898, 19595, 721, 540, 519, 1390, 15093, 1312, 941, 8348, 547, 1118, 267, 741, 4222, 540, 5132, 267, 543, 540, 2696, 779, 3870, 543, 23502, 2390, 519, 21071, 563, 763, 21024, 17124, 630, 335, 321, 7795, 264, 1767, 602, 513, 1825, 591, 945, 840, 13257, 15878, 3316, 328, 538, 5609, 1356, 640, 786, 28231, 513, 8007, 585, 1169, 4552, 540, 519, 3662, 646, 24172, 24279, 269, 630, 307, 3305, 573, 6062, 264, 9349, 2659, 15878, 3316, 328, 3767, 0, 763, 7083, 779, 2672, 3899, 267, 4004, 542, 267, 568, 835, 540, 1079, 5485, 571, 906, 9976, 538, 519, 3465, 2421, 614, 1014, 5783, 538, 8581, 267, 519, 824, 1373, 19097, 1143, 269, 589, 5485, 26963, 568, 513, 3308, 5351, 799, 14550, 543, 25495, 519, 5289, 18408, 543, 14767, 8659, 538, 519, 22258, 563, 1103, 519, 5485, 26963, 540, 519, 7083, 779, 2672, 3899, 267, 519, 3694, 4564, 2441, 779, 1560, 7745, 593, 519, 3444, 543, 519, 9174, 3571, 10552, 8774, 585, 519, 19807, 540, 5609, 269, 589, 5485, 26963, 568, 2495, 1652, 1510, 5132, 269, 8409, 945, 2097, 547, 519, 7083, 779, 2672, 3899, 1058, 723, 5132, 538, 2441, 607, 519, 2290, 945, 814, 5747, 585, 741, 21359, 563, 763, 7083, 779, 2672, 3899, 729, 3964, 676, 2441, 269, 3807, 1354, 519, 16961, 32267, 542, 4906, 1558, 609, 3571, 20785, 538, 519, 16592, 18740, 547, 8661, 519, 30687, 269, 4438, 519, 7594, 1261, 13264, 3694, 543, 3838, 621, 609, 873, 267, 7713, 602, 713, 1131, 7618, 873, 540, 3571, 1378, 1560, 7745, 585, 873, 593, 519, 3444, 269, 1261, 1287, 6035, 873, 9174, 547, 4235, 267, 547, 7618, 873, 540, 3571, 1973, 8774, 547, 11547, 2476, 741, 21359, 269, 901, 17766, 540, 519, 1973, 849, 20177, 513, 1007, 26315, 610, 7029, 1063, 2696, 543, 782, 519, 13794, 540, 2441, 563, 763, 2140, 519, 7083, 779, 2672, 3899, 3217, 721, 1394, 547, 519, 7831, 2672, 3899, 950, 2441, 1101, 25009, 3571, 20785, 547, 7747, 713, 2027, 7594, 269, 769, 9721, 3465, 2421, 614, 1014, 1143, 267, 10847, 2533, 799, 1331, 519, 7083, 779, 2672, 3899, 616, 5219, 547, 607, 4004, 542, 6796, 799, 3746, 2478, 938, 1209, 542, 610, 31776, 609, 2696, 693, 519, 7083, 11313, 338, 7305, 269, 8409, 945, 2743, 693, 519, 7083, 11313, 338, 7305, 616, 1634, 607, 4004, 545, 656, 16840, 540, 519, 5939, 269, 2368, 3465, 2421, 614, 1014, 13039, 849, 946, 519, 2165, 267, 519, 2048, 12577, 540, 3694, 685, 547, 4766, 519, 7083, 779, 2672, 3899, 563, 4537, 2130, 538, 519, 7083, 779, 2672, 3899, 568, 585, 1346, 945, 723, 4607, 519, 7083, 4906, 2441, 883, 741, 2729, 269, 898, 568, 585, 1346, 945, 723, 2097, 547, 2441, 585, 20778, 543, 723, 8149, 741, 2729, 547, 2441, 543, 21028, 13924, 607, 741, 14205, 21831, 563, 3849, 3939, 547, 519, 7083, 779, 2672, 3899, 568, 593, 519, 4493, 540, 513, 2123, 5132, 538, 519, 7083, 4906, 2441, 269, 634, 31489, 29140, 540, 513, 30798, 4927, 16153, 547, 519, 7083, 779, 2672, 3899, 1152, 1346, 945, 723, 1044, 19071, 2213, 267, 945, 1118, 513, 3924, 540, 5132, 538, 519, 7083, 4906, 543, 4171, 1915, 568, 5812, 609, 971, 513, 3924, 269, 2991, 513, 1974, 540, 6044, 267, 1007, 3868, 1218, 616, 15861, 547, 519, 7083, 779, 7305, 593, 3924, 540, 5132, 538, 2441, 269, 1358, 616, 5189, 547, 519, 31489, 29140, 543, 18005, 4607, 883, 2407, 15376, 540, 519, 5939, 267, 2356, 693, 513, 840, 268, 10919, 542, 3028, 563, 4537, 2130, 538, 519, 7083, 779, 2672, 3899, 568, 540, 1390, 2956, 855, 621, 568, 1152, 835, 851, 540, 519, 4168, 1272, 269, 589, 3924, 540, 5132, 1590, 581, 10483, 676, 24150, 547, 2441, 538, 1169, 1858, 540, 1272, 563, 15973, 545, 656, 2818, 1058, 711, 1152, 581, 3238, 538, 519, 1272, 540, 741, 1378, 30798, 267, 855, 1058, 849, 723, 606, 1719, 538, 519, 9962, 960, 540, 519, 3465, 2421, 614, 1014, 5783, 269, 0, 257, 2304, 13229, 11819, 540, 7335, 4840, 3528, 281, 1325, 569, 5459, 594, 3272, 454, 2691, 1818, 4296, 609, 519, 2376, 267, 594, 1101, 11329, 856, 547, 8885, 602, 711, 1152, 568, 519, 7903, 585, 1164, 2298, 3610, 543, 3811, 2542, 3292, 593, 519, 4473, 267, 855, 621, 781, 519, 991, 585, 519, 11056, 540, 891, 1919, 547, 581, 1031, 1927, 538, 519, 4928, 269, 1306, 513, 4116, 649, 616, 5185, 609, 1082, 1114, 2591, 538, 519, 4928, 269, 2060, 3656, 1394, 902, 543, 3292, 971, 607, 12135, 299, 289, 938, 1909, 538, 513, 4928, 568, 2484, 3564, 711, 1175, 6028, 513, 1126, 3297, 269, 8786, 2059, 609, 1373, 2186, 899, 519, 2376, 7150, 267, 649, 616, 547, 581, 3260, 619, 267, 2900, 7970, 267, 543, 19393, 547, 891, 1053, 538, 1169, 1641, 267, 855, 2523, 538, 2542, 269, 2201, 1888, 540, 519, 834, 6343, 257, 543, 834, 6011, 2580, 3610, 723, 547, 7168, 1454, 6430, 602, 593, 741, 1378, 269, 28514, 267, 711, 4010, 1317, 972, 616, 865, 1082, 2200, 856, 972, 267, 855, 538, 513, 1259, 540, 1169, 2582, 2875, 568, 1114, 269, 898, 568, 519, 4116, 779, 5539, 547, 1445, 593, 1142, 1126, 269, 3689, 540, 519, 1032, 4116, 779, 2736, 519, 1053, 883, 1507, 2516, 1759, 2390, 519, 2115, 540, 1142, 1126, 269, 2060, 713, 649, 1118, 856, 513, 1544, 547, 2327, 1697, 6044, 585, 1346, 1053, 269, 1284, 723, 547, 960, 609, 12570, 1142, 540, 891, 2115, 543, 12755, 269, 634, 3356, 540, 938, 3527, 991, 547, 581, 16913, 543, 4957, 952, 1945, 568, 711, 2324, 585, 519, 2875, 269, 1879, 3450, 2542, 596, 616, 1210, 1169, 17752, 607, 513, 7872, 540, 6044, 269, 4634, 938, 946, 540, 4081, 1893, 568, 5807, 519, 2208, 540, 6863, 585, 519, 2663, 3942, 540, 8223, 269, 15788, 267, 1169, 1505, 540, 3450, 2542, 602, 1568, 585, 1142, 1126, 602, 632, 2114, 3294, 547, 581, 2500, 267, 568, 606, 2500, 2542, 2259, 585, 602, 1126, 269, 769, 4276, 540, 713, 547, 713, 1576, 267, 594, 1131, 2161, 602, 2542, 568, 538, 1249, 835, 540, 519, 7887, 2127, 6026, 538, 1153, 269, 634, 3610, 616, 865, 1271, 593, 4543, 547, 2327, 602, 1142, 2875, 814, 1018, 789, 991, 538, 1931, 547, 1832, 3001, 4464, 538, 741, 2542, 1983, 269, 901, 1576, 814, 3254, 803, 1312, 519, 2115, 543, 519, 2956, 540, 1018, 649, 798, 267, 610, 786, 798, 267, 538, 519, 4928, 269, 0, 6524, 649, 1449, 9250, 519, 15177, 267, 649, 7691, 602, 972, 2115, 547, 581, 513, 22745, 3760, 585, 519, 15177, 267, 865, 649, 4956, 547, 1118, 513, 2241, 835, 856, 540, 21312, 563, 2080, 568, 22089, 689, 519, 10131, 912, 763, 1101, 3364, 649, 1705, 547, 4584, 909, 689, 2063, 1362, 729, 547, 12927, 519, 2048, 342, 902, 685, 609, 15441, 269, 4495, 519, 15441, 568, 12015, 909, 267, 621, 666, 957, 899, 513, 21799, 610, 608, 18929, 13987, 543, 1832, 873, 19756, 543, 538, 1747, 563, 5475, 602, 267, 649, 3323, 547, 1039, 593, 519, 824, 1079, 2048, 342, 902, 685, 585, 6617, 543, 4287, 950, 9250, 563, 5629, 519, 9224, 13409, 7923, 267, 649, 616, 1631, 4712, 547, 10131, 563, 8702, 547, 4959, 289, 2349, 9233, 269, 901, 568, 707, 1101, 2022, 269, 22478, 610, 18419, 621, 267, 1287, 1376, 5816, 3101, 2336, 8923, 3314, 602, 713, 568, 606, 4959, 289, 3135, 585, 707, 946, 543, 596, 786, 581, 4371, 3743, 585, 519, 1543, 596, 2022, 269, 0, 18907, 476, 272, 560, 267, 476, 1001, 279, 1923, 17897, 476, 272, 1923, 476, 1724, 25008, 476, 3607, 3813, 338, 454, 836, 11253, 21868, 10290, 267, 1915, 267, 1915, 20671, 267, 27497, 267, 16177, 267, 1650, 331, 839, 454, 25603, 19468, 29029, 267, 513, 1762, 8004, 609, 513, 2898, 2603, 540, 9345, 945, 16137, 602, 27497, 666, 1491, 596, 689, 8723, 547, 9058, 269, 2701, 16137, 27497, 3340, 10100, 267, 8207, 543, 4222, 540, 1915, 563, 9596, 2994, 585, 3395, 27497, 538, 707, 3214, 267, 6273, 676, 4911, 11253, 667, 3089, 10290, 267, 11001, 543, 2278, 540, 717, 761, 281, 634, 5295, 540, 32425, 543, 3131, 14651, 267, 971, 607, 1565, 689, 4966, 267, 3843, 1007, 2994, 267, 543, 3232, 2259, 269, 9452, 2854, 543, 1936, 730, 676, 4873, 744, 14654, 267, 609, 5153, 327, 543, 631, 5417, 773, 4793, 1562, 517, 267, 25014, 543, 654, 2812, 16189, 549, 267, 12844, 22448, 17286, 3118, 543, 8751, 670, 770, 902, 269, 0, 28723, 9920, 6351, 1949, 454, 309, 12317, 1834, 4066, 543, 4155, 13680, 1399, 5786, 454, 309, 12317, 1834, 3106, 568, 513, 1883, 4640, 547, 2232, 16529, 1279, 3856, 543, 954, 574, 3853, 543, 9072, 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 ]

[ 2012, 11090, 267, 12899, 11090, 267, 543, 827, 476, 1911, 824, 1919, 602, 616, 13042, 609, 741, 2012, 602, 789, 786, 581, 1210, 2429, 519, 1554, 269, 901, 5012, 547, 17847, 543, 17140, 563, 2467, 616, 1082, 1983, 707, 1126, 1590, 4487, 1354, 1373, 2111, 547, 2328, 741, 2012, 593, 1957, 609, 513, 4050, 610, 15513, 269, 634, 338, 1983, 616, 3362, 11368, 883, 707, 3232, 6296, 563, 28403, 1944, 741, 8745, 454, 763, 1101, 1900, 547, 1373, 2111, 547, 2328, 741, 2012, 568, 547, 5431, 741, 2012, 269, 3503, 707, 1126, 779, 2012, 538, 607, 1082, 4025, 607, 2009, 563, 268, 7102, 942, 596, 2681, 267, 2328, 741, 2012, 593, 741, 1957, 454, 268, 2422, 9904, 23739, 2759, 1562, 547, 4196, 873, 741, 26889, 538, 519, 1106, 540, 741, 2012, 454, 268, 5269, 741, 2012, 856, 540, 1404, 323, 965, 610, 530, 1731, 7288, 16853, 454, 268, 3503, 741, 2012, 593, 519, 26806, 609, 26806, 22197, 454, 268, 5269, 513, 1129, 585, 519, 7450, 547, 741, 4055, 454, 7628, 713, 5123, 267, 707, 3804, 568, 602, 707, 1126, 12034, 741, 2012, 607, 1082, 2053, 607, 2009, 2429, 741, 1554, 267, 538, 607, 1082, 1114, 3029, 543, 4025, 607, 789, 666, 563, 8967, 749, 4256, 8745, 454, 6524, 513, 1126, 666, 2328, 741, 2012, 267, 789, 1590, 581, 2111, 547, 723, 519, 2953, 4484, 6284, 1983, 543, 581, 2111, 547, 2322, 519, 5022, 538, 519, 2953, 1931, 269, 24664, 1176, 972, 616, 1082, 1187, 2081, 547, 4001, 707, 1126, 547, 11963, 741, 2012, 2336, 268, 8535, 814, 519, 5863, 2702, 547, 4001, 269, 6056, 540, 782, 519, 8964, 596, 4121, 547, 948, 596, 3314, 1919, 950, 596, 941, 513, 4819, 269, 7734, 540, 519, 6426, 267, 1840, 7515, 267, 8691, 5013, 267, 3092, 1421, 865, 1577, 779, 2322, 602, 547, 960, 543, 2206, 707, 1126, 779, 2012, 269, 1280, 1383, 267, 15243, 666, 581, 23475, 547, 519, 19820, 540, 645, 16927, 9539, 8566, 14114, 269, 594, 1131, 2206, 968, 2467, 568, 513, 7911, 945, 779, 1360, 2186, 267, 543, 15243, 568, 1010, 2012, 27984, 269, 808, 5025, 4211, 14114, 5174, 2507, 892, 610, 596, 666, 1118, 909, 707, 1378, 19820, 269, 1215, 2027, 585, 707, 1126, 547, 723, 741, 1360, 1378, 5152, 20803, 2318, 4162, 827, 873, 543, 4543, 873, 547, 1451, 547, 11963, 741, 2012, 563, 268, 476, 274, 4484, 4408, 2119, 968, 16248, 32559, 631, 823, 7536, 268, 476, 275, 4484, 4408, 2119, 968, 6701, 1411, 12619, 532, 7536, 268, 476, 276, 4484, 4408, 2119, 968, 305, 578, 2659, 4425, 520, 892, 610, 968, 289, 5058, 302, 7536, 268, 476, 277, 4484, 4408, 2119, 968, 297, 17532, 13852, 338, 7536, 268, 476, 278, 4484, 4408, 2119, 968, 23562, 30257, 267, 3828, 30257, 9741, 10060, 7536, 268, 476, 279, 4484, 4408, 2119, 968, 2171, 654, 880, 1411, 513, 8585, 787, 8285, 7536, 300, 1460, 543, 674, 1460, 454, 268, 4635, 17371, 5022, 1282, 8602, 942, 610, 11275, 5022, 593, 519, 26806, 267, 11963, 707, 1126, 779, 2012, 269, 968, 300, 1460, 543, 4368, 17373, 10925, 519, 5022, 538, 1931, 267, 2012, 873, 1247, 15738, 547, 873, 267, 543, 3575, 873, 909, 269, 5620, 707, 1126, 2322, 873, 1394, 538, 519, 1318, 1931, 543, 1294, 952, 789, 666, 2995, 596, 519, 4484, 4408, 543, 4992, 563, 268, 5269, 513, 2012, 11015, 676, 1603, 707, 1126, 779, 2012, 593, 513, 4062, 540, 1957, 543, 5969, 1142, 4484, 6306, 269, 17186, 519, 5022, 909, 543, 1294, 952, 789, 666, 2322, 873, 1394, 1927, 563, 268, 4635, 9904, 23739, 2759, 1562, 267, 2759, 519, 5022, 540, 707, 1126, 779, 2012, 856, 540, 513, 3443, 322, 820, 269, 17186, 621, 909, 1354, 7674, 621, 547, 873, 267, 543, 789, 1590, 2322, 519, 5022, 538, 519, 2953, 1931, 1354, 4189, 741, 3443, 322, 820, 563, 2026, 606, 8835, 21133, 267, 594, 7118, 689, 27216, 16306, 693, 1100, 3606, 1942, 547, 596, 563, 268, 11576, 800, 1404, 568, 1898, 585, 2370, 6267, 269, 5753, 1451, 1655, 950, 789, 946, 2789, 12823, 547, 1628, 610, 13861, 3688, 269, 5620, 707, 1126, 2328, 741, 2012, 609, 741, 9416, 538, 607, 1082, 1114, 1919, 607, 596, 666, 1589, 540, 269, 1452, 10444, 6445, 619, 666, 581, 3262, 538, 513, 15513, 4216, 610, 513, 1804, 11256, 6656, 547, 1832, 519, 3190, 896, 1852, 269, 5620, 707, 1126, 946, 741, 24072, 9416, 547, 2721, 519, 5022, 563, 268, 1744, 3058, 31201, 454, 268, 595, 10541, 1975, 698, 515, 26152, 454, 268, 674, 5424, 24484, 454, 268, 22816, 7288, 853, 1460, 454, 268, 8745, 11576, 800, 23642, 268, 5269, 513, 2012, 10444, 10822, 602, 2337, 3214, 2259, 4484, 9517, 267, 4484, 3280, 267, 1250, 2012, 2259, 267, 5546, 267, 4778, 267, 18570, 267, 10203, 267, 1893, 1983, 267, 543, 8901, 4656, 1247, 2519, 593, 5386, 5179, 1983, 269, 898, 849, 10953, 824, 1271, 1983, 971, 607, 1966, 9010, 267, 1445, 267, 9345, 267, 14374, 267, 3408, 267, 543, 3929, 4222, 269, 2659, 1126, 786, 2648, 10259, 741, 2012, 267, 1565, 741, 5022, 267, 1210, 519, 17408, 14162, 619, 267, 546, 18804, 267, 1178, 25290, 267, 543, 31935, 609, 513, 10531, 2012, 6539, 2336, 6701, 596, 13110, 540, 6217, 968, 2005, 779, 9215, 302, 670, 19181, 17373, 4553, 676, 513, 15835, 6658, 888, 8794, 713, 835, 2241, 8360, 596, 3580, 1205, 538, 713, 3532, 3992, 267, 596, 3580, 711, 1152, 581, 2111, 547, 948, 707, 737, 1342, 334, 711, 2285, 909, 855, 596, 3580, 912, 285, 8002, 10675, 741, 2706, 12741, 540, 16177, 865, 602, 789, 666, 2490, 1472, 513, 15835, 6658, 543, 1832, 3843, 454, 285, 11900, 335, 790, 873, 547, 946, 16177, 2507, 16838, 950, 621, 779, 2182, 454, 285, 5938, 778, 873, 547, 5431, 519, 9963, 4191, 540, 4758, 909, 267, 543, 875, 547, 2490, 621, 1472, 676, 2921, 1852, 540, 741, 5079, 563, 294, 4599, 707, 3532, 17676, 3381, 3992, 547, 4001, 707, 737, 1342, 334, 835, 540, 519, 1034, 3532, 10569, 547, 16177, 563, 6635, 1206, 1299, 27207, 454, 290, 2761, 338, 7794, 5386, 5179, 1983, 267, 616, 513, 1390, 3450, 1907, 267, 543, 789, 2285, 707, 1126, 606, 4316, 547, 1020, 741, 5876, 563, 268, 5269, 513, 3141, 13906, 7815, 269, 3503, 707, 1126, 779, 2012, 593, 513, 6995, 6882, 538, 513, 5394, 8628, 15262, 269, 5620, 873, 1216, 10233, 519, 6995, 6882, 269, 1879, 621, 779, 3819, 267, 13793, 621, 538, 519, 6885, 585, 782, 547, 23507, 563, 268, 5269, 513, 2012, 7333, 1676, 269, 3503, 1142, 4484, 538, 707, 1126, 779, 2012, 538, 19389, 5022, 593, 741, 1378, 476, 274, 9943, 276, 4062, 540, 1957, 543, 1216, 10233, 621, 269, 21642, 519, 5022, 1927, 547, 1118, 513, 7333, 1676, 585, 741, 23103, 7450, 563, 268, 5463, 648, 622, 707, 2012, 269, 3503, 707, 1126, 779, 2012, 543, 723, 873, 5862, 621, 1210, 7117, 2389, 2354, 269, 2052, 596, 1118, 513, 4806, 609, 519, 4778, 888, 268, 3503, 707, 1126, 779, 2012, 538, 15262, 543, 723, 873, 3382, 621, 609, 536, 22857, 12297, 1562, 267, 22827, 267, 610, 29654, 563, 268, 2422, 751, 2130, 1957, 547, 7794, 5386, 5179, 1983, 269, 3503, 707, 1126, 779, 2012, 538, 15262, 543, 2285, 873, 1082, 1114, 4778, 540, 16150, 1957, 269, 5620, 707, 1126, 15237, 2370, 4773, 540, 1957, 543, 15441, 621, 593, 741, 2012, 547, 3382, 519, 3515, 269, 570, 8960, 1957, 568, 1390, 585, 14304, 9416, 6091, 543, 5386, 5179, 1983, 563, 268, 31674, 519, 5022, 1472, 707, 2777, 543, 723, 707, 1126, 979, 593, 513, 25094, 10152, 6968, 547, 1265, 873, 256, 2052, 789, 2322, 873, 538, 519, 2953, 1931, 888, 268, 2052, 707, 1126, 1265, 5022, 538, 741, 2012, 538, 2835, 602, 596, 1224, 1927, 888, 268, 3503, 519, 5022, 540, 741, 2012, 538, 1804, 5022, 593, 707, 5397, 3118, 269, 11910, 856, 519, 4484, 543, 723, 873, 1796, 593, 621, 269, 1358, 666, 849, 3802, 2059, 519, 5022, 1739, 519, 2953, 4484, 5250, 2619, 563, 2171, 2648, 4466, 2835, 602, 979, 2059, 609, 1018, 649, 616, 1565, 269, 7335, 568, 1898, 585, 3214, 269, 10017, 4653, 3081, 968, 20091, 547, 9002, 607, 1762, 607, 3670, 3275, 540, 2085, 5012, 547, 6793, 4938, 629, 983, 625, 543, 1732, 2038, 7924, 1983, 2185, 1296, 2663, 3034, 4322, 2835, 616, 711, 1175, 827, 4408, 267, 855, 827, 1582, 12635, 267, 22464, 267, 543, 11505, 269, 15526, 568, 1114, 543, 596, 1058, 581, 10583, 540, 945, 596, 616, 256, 17949, 2542, 891, 2835, 267, 610, 1265, 2835, 1141, 519, 1292, 1915, 8843, 519, 1482, 2012, 607, 707, 1126, 563, 2026, 606, 8835, 21133, 267, 594, 7118, 689, 27216, 16306, 693, 1100, 3606, 1942, 547, 596, 563, 2171, 1131, 6108, 513, 3018, 1565, 827, 932, 24075, 656, 1335, 636, 1169, 2887, 256, 1403, 596, 10093, 1406, 1224, 621, 267, 932, 24075, 656, 1335, 636, 568, 606, 32620, 2370, 10856, 945, 14560, 1200, 2012, 2507, 2394, 1352, 4422, 547, 1153, 269, 634, 824, 3214, 14902, 693, 621, 1317, 621, 568, 865, 1279, 269, 932, 24075, 656, 1335, 636, 16137, 513, 3407, 3992, 538, 1373, 10583, 540, 945, 1352, 568, 267, 543, 621, 1175, 4523, 547, 17063, 538, 1360, 1134, 609, 1565, 938, 2012, 2336, 5475, 2542, 932, 24075, 656, 1335, 636, 267, 2995, 707, 1126, 875, 596, 8359, 741, 2012, 269, 1772, 972, 513, 2027, 2495, 3297, 621, 888, 296, 6145, 3733, 1345, 568, 513, 9735, 1650, 602, 11414, 3214, 547, 2648, 3388, 827, 2933, 267, 1256, 950, 789, 616, 1114, 982, 3025, 3116, 2336, 300, 14709, 7200, 9253, 517, 568, 513, 8004, 945, 5654, 1114, 267, 4992, 1114, 267, 543, 6411, 8335, 982, 3025, 3116, 269, 30586, 1200, 9835, 15948, 6026, 1200, 547, 3802, 10583, 267, 12837, 2462, 267, 543, 2206, 10978, 569, 267, 543, 1352, 16137, 602, 1256, 1498, 1352, 568, 1114, 267, 1352, 568, 1869, 2027, 543, 1271, 2336, 288, 28769, 24189, 710, 715, 3139, 12071, 27918, 568, 513, 20036, 1650, 827, 513, 28769, 24189, 710, 945, 3085, 1406, 899, 1010, 2012, 2394, 646, 10742, 513, 2027, 28591, 665, 14058, 563, 296, 6557, 22167, 3534, 6145, 2725, 568, 513, 8748, 1650, 602, 7512, 3214, 547, 899, 596, 1317, 596, 2461, 596, 563, 288, 1187, 2534, 585, 23021, 568, 547, 2328, 538, 519, 2011, 269, 4635, 741, 24072, 9416, 607, 741, 4050, 267, 789, 3180, 741, 6186, 2786, 856, 538, 4395, 540, 873, 543, 2328, 5022, 538, 519, 2011, 269, 901, 568, 513, 1390, 1259, 547, 1205, 741, 1560, 3001, 543, 2259, 519, 2953, 5250, 540, 5022, 563, 14946, 20963, 16359, 10341, 454, 293, 710, 5179, 1983, 616, 519, 1983, 564, 602, 2636, 596, 547, 1852, 519, 1507, 6091, 538, 707, 11263, 269, 901, 2636, 596, 547, 7735, 16181, 267, 23407, 1990, 26802, 267, 543, 1852, 519, 4050, 267, 15513, 267, 610, 15262, 547, 2328, 707, 2012, 269, 15043, 891, 1983, 3217, 9837, 1275, 267, 543, 568, 4742, 5051, 811, 2352, 607, 2029, 946, 538, 1762, 1453, 14380, 563, 8002, 8481, 899, 519, 13492, 7396, 1657, 267, 4730, 609, 1404, 323, 965, 267, 751, 2130, 1957, 267, 543, 1022, 9162, 602, 2154, 2259, 22392, 1507, 3615, 616, 1434, 585, 14304, 5386, 5179, 1983, 563, 4517, 7053, 267, 5675, 4256, 8745, 454, 5475, 707, 1126, 666, 2697, 519, 5022, 538, 741, 2012, 543, 2322, 873, 538, 519, 2953, 1931, 267, 621, 779, 942, 547, 1376, 1603, 741, 2012, 563, 6524, 15243, 5206, 1142, 4484, 267, 649, 2911, 827, 519, 2953, 1259, 547, 1106, 519, 4484, 543, 13736, 609, 1010, 24072, 9416, 269, 1879, 3214, 1106, 5022, 2705, 789, 1616, 267, 789, 1628, 3983, 6208, 602, 616, 2352, 547, 2736, 2663, 563, 763, 1034, 1271, 851, 540, 1565, 547, 2328, 741, 2012, 568, 547, 1205, 873, 9599, 827, 1603, 269, 6096, 616, 711, 519, 1034, 3078, 2534, 538, 519, 1158, 267, 865, 1265, 513, 1259, 547, 1205, 707, 1126, 9599, 563, 12648, 873, 547, 519, 4558, 543, 1577, 873, 4584, 856, 930, 2027, 12508, 610, 11954, 22796, 269, 2913, 873, 2328, 609, 22916, 976, 269, 2311, 1101, 267, 621, 3085, 1406, 2339, 1018, 789, 2328, 609, 607, 1279, 607, 789, 616, 9599, 827, 1565, 563, 2237, 707, 1126, 779, 2012, 543, 2322, 621, 538, 513, 2985, 2149, 528, 610, 3382, 621, 609, 24386, 11746, 543, 723, 873, 10250, 741, 2012, 609, 513, 3819, 32135, 15262, 269, 10435, 621, 2656, 543, 1928, 1652, 899, 1603, 741, 2012, 2899, 513, 1554, 568, 513, 1390, 1259, 547, 1205, 2110, 267, 5812 ]

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

[ 277, 2410, 1556, 348, 1422, 10383, 1422, 13320, 346, 276, 2410, 1015, 348, 1341, 1422, 13320, 346, 278, 2410, 1321, 348, 1422, 10383, 1422, 13320, 346, 276, 2410, 1556, 348, 1422, 10383, 1422, 13320, 346, 277, 2410, 1015, 348, 815, 1422, 13320, 346, 278, 2410, 2420, 15732, 292, 329, 2075, 545, 1470, 11377, 17273, 19340, 346, 278, 15732, 14976, 1654, 842, 324, 11188, 524, 1304, 334, 632, 15255, 533, 842, 32136, 632, 19448, 7523, 518, 17144, 1100, 5067, 3312, 525, 269, 1133, 1071, 548, 764, 542, 16695, 735, 571, 19448, 533, 842, 3120, 269, 570, 1329, 324, 2625, 8494, 21059, 476, 271, 269, 1015, 632, 6584, 541, 796, 535, 10193, 16948, 796, 3312, 829, 334, 562, 684, 8619, 556, 577, 18054, 796, 3312, 635, 334, 535, 10193, 267, 2485, 379, 290, 340, 5451, 331, 1965, 3288, 2625, 8494, 21059, 630, 1718, 545, 1308, 264, 632, 6446, 3288, 533, 842, 3120, 6446, 735, 571, 4262, 3312, 2496, 6944, 652, 541, 692, 5719, 16660, 6446, 2330, 289, 284, 2330, 1714, 2680, 334, 6446, 1714, 1071, 548, 764, 542, 16695, 2440, 267, 586, 2330, 294, 284, 2330, 1714, 2680, 334, 1714, 24140, 611, 549, 4262, 3312, 269, 1306, 636, 597, 2330, 303, 16360, 347, 294, 264, 815, 476, 272, 2330, 586, 2330, 303, 16360, 347, 294, 317, 322, 264, 815, 476, 271, 269, 272, 21974, 13961, 2330, 303, 31855, 264, 815, 476, 271, 269, 279, 18079, 1303, 517, 806, 692, 2330, 303, 31855, 21270, 264, 815, 1422, 13320, 346, 303, 263, 16412, 20972, 303, 16360, 14587, 815, 1422, 13320, 346, 303, 16360, 347, 294, 264, 623, 31855, 20972, 303, 16360, 347, 294, 264, 303, 31855, 264, 1341, 623, 16360, 347, 294, 317, 322, 264, 303, 31855, 317, 322, 14587, 815, 1422, 13320, 346, 271, 269, 279, 2410, 271, 269, 279, 1341, 476, 271, 269, 272, 1422, 10383, 476, 271, 269, 273, 348, 815, 1422, 13320, 346, 2412, 2410, 6078, 15732, 292, 329, 2075, 545, 1470, 11377, 17273, 19340, 346, 279, 15732, 14976, 14557, 1723, 11188, 524, 1304, 334, 632, 15255, 796, 573, 3547, 632, 524, 328, 15300, 9133, 334, 632, 16491, 334, 911, 6403, 323, 553, 16948, 1714, 1425, 545, 1470, 512, 1329, 523, 796, 8919, 334, 635, 14243, 333, 269, 5487, 2058, 25556, 1629, 340, 652, 571, 6446, 1714, 476, 11152, 11188, 524, 1304, 334, 632, 15255, 796, 573, 3547, 598, 1609, 324, 8919, 334, 1459, 534, 524, 328, 1068, 320, 1286, 1461, 6403, 560, 3821, 632, 735, 677, 600, 1304, 334, 267, 544, 1304, 6652, 6446, 521, 6759, 5979, 1714, 13121, 11188, 524, 1304, 334, 632, 15255, 796, 573, 3547, 6446, 1100, 512, 1329, 523, 1609, 324, 8919, 334, 1459, 534, 1965, 320, 1286, 1461, 6403, 560, 3821, 269, 1530, 981, 2088, 19448, 796, 21059, 586, 694, 1958, 340, 550, 571, 6446, 1459, 320, 1714, 521, 6403, 660, 5448, 1286, 1461, 6403, 560, 4815, 269, 2485, 379, 290, 340, 5451, 331, 1965, 3288, 2625, 8494, 21059, 7873, 545, 1308, 632, 6446, 3288, 796, 21059, 512, 1263, 320, 1714, 8919, 334, 267, 546, 5964, 1609, 324, 735, 677, 600, 1304, 334, 2496, 6944, 652, 541, 692, 5719, 16660, 6446, 2330, 291, 284, 2330, 1714, 2680, 334, 3288, 796, 21059, 1609, 2946, 8919, 340, 6242, 586, 2330, 290, 284, 2330, 1714, 2680, 334, 512, 1263, 320, 3288, 1286, 1461, 6403, 560, 3821, 269, 9980, 517, 806, 2330, 303, 20573, 264, 815, 476, 271, 269, 4962, 18079, 2330, 303, 18154, 25238, 264, 815, 476, 271, 269, 11152, 18079, 586, 2330, 303, 18154, 25238, 317, 322, 264, 815, 476, 271, 269, 6349, 29634, 2330, 303, 20573, 18871, 264, 815, 1422, 13320, 346, 303, 18154, 25238, 264, 623, 20573, 20972, 303, 18154, 25238, 264, 623, 20573, 264, 1341, 623, 18154, 25238, 317, 322, 264, 623, 20573, 317, 322, 14587, 815, 1422, 13320, 346, 271, 269, 11152, 1422, 10383, 476, 271, 269, 4962, 2410, 271, 269, 11152, 1422, 10383, 476, 271, 269, 4962, 1341, 476, 271, 269, 6349, 1422, 10383, 476, 271, 269, 4817, 348, 815, 1422, 13320, 346, 11152, 2410, 14530, 15732, 292, 329, 2075, 545, 1470, 11377, 17273, 19340, 346, 280, 15732, 5353, 973, 32079, 796, 26195, 6403, 334, 632, 476, 1911, 271, 796, 573, 3547, 18546, 6759, 5371, 553, 269, 1401, 626, 324, 19448, 2625, 8494, 21059, 28075, 783, 618, 324, 21483, 632, 6446, 554, 11535, 476, 271, 267, 476, 272, 267, 476, 273, 522, 476, 274, 796, 573, 3547, 8919, 340, 657, 553, 679, 1714, 561, 1774, 269, 13961, 694, 694, 548, 764, 542, 320, 796, 334, 620, 20842, 541, 586, 694, 1958, 340, 550, 571, 6446, 1965, 1207, 523, 334, 267, 2485, 379, 30501, 5451, 331, 1965, 3288, 2625, 8494, 21059, 632, 6446, 1100, 554, 11535, 796, 573, 3547, 8919, 340, 657, 553, 679, 1714, 561, 1774, 2496, 6944, 652, 541, 692, 20075, 2330, 291, 17624, 815, 2330, 1714, 2680, 334, 632, 2330, 330, 2330, 8919, 340, 657, 334, 586, 2330, 294, 2330, 4262, 1714, 2680, 334, 694, 11869, 324, 796, 334, 1207, 523, 334, 780, 2330, 303, 20573, 318, 271, 347, 294, 264, 815, 1422, 13320, 346, 303, 31855, 25238, 318, 271, 264, 623, 20573, 318, 271, 20972, 303, 31855, 25238, 318, 271, 264, 623, 20573, 318, 271, 264, 1341, 623, 31855, 25238, 318, 272, 264, 623, 20573, 318, 272, 264, 1341, 623, 31855, 25238, 318, 273, 264, 623, 20573, 318, 273, 264, 1341, 623, 31855, 25238, 318, 274, 264, 623, 20573, 318, 274, 264, 15732, 2330, 284, 1422, 13320, 346, 272, 1422, 10383, 476, 272, 270, 275, 2410, 263, 272, 270, 275, 7565, 272, 1341, 476, 15886, 270, 1911, 271, 1341, 476, 4200, 279, 270, 1911, 271, 1341, 476, 4200, 278, 270, 1911, 271, 14587, 815, 1422, 13320, 346, 1911, 271, 2410, 274, 4200, 275, 15732, 292, 329, 2075, 545, 1470, 11377, 17273, 19340, 346, 1015, 15732, 299, 657, 3611, 657, 865, 3691, 3824, 637, 657, 586, 678, 836, 657, 2892, 25106, 525, 16948, 19448, 15002, 3385, 533, 29793, 24265, 694, 1387, 714, 534, 632, 3288, 521, 580, 340, 1304, 324, 812, 5028, 269, 3230, 306, 318, 272, 2330, 284, 1714, 3824, 637, 334, 606, 783, 1642, 2680, 334, 1965, 17071, 513, 1269, 1839, 267, 1822, 282, 2330, 306, 318, 273, 2330, 815, 1714, 3824, 637, 334, 606, 783, 1642, 2680, 334, 1609, 5451, 1303, 516, 259, 1839, 267, 1822, 586, 1269, 1911, 267, 1822, 282, 2330, 306, 318, 274, 2330, 815, 1714, 3824, 637, 334, 606, 783, 1642, 2680, 334, 1965, 25650, 513, 259, 1911, 267, 1822, 269, 3230, 292, 318, 272, 2330, 284, 2680, 334, 1100, 1264, 339, 6759, 3288, 1534, 24265, 5203, 527, 7559, 282, 2330, 292, 318, 273, 2330, 815, 2680, 334, 632, 3803, 714, 24265, 632, 6132, 523, 857, 520, 3120, 282, 2330, 292, 318, 274, 2330, 815, 2680, 334, 632, 3803, 714, 24265, 1642, 1982, 320, 632, 1064, 326, 2784, 334, 522, 1286, 516, 571, 1527, 525, 1308, 269, 11968, 3611, 657, 533, 4240, 523, 1583, 512, 5429, 15606, 632, 3288, 521, 580, 340, 1304, 324, 812, 5028, 281, 2330, 303, 27887, 318, 272, 264, 815, 476, 271, 269, 4792, 2330, 2073, 2330, 303, 27887, 318, 273, 264, 815, 476, 271, 269, 1789, 2330, 543, 3230, 303, 27887, 318, 274, 264, 815, 476, 271, 269, 4962, 29634, 2330, 303, 22829, 10983, 347, 292, 19553, 264, 9681, 3230, 306, 318, 272, 2330, 3230, 306, 318, 273, 2330, 3230, 306, 318, 274, 2330, 3230, 292, 318, 272, 2330, 476, 271, 269, 5952, 476, 271, 269, 1015, 476, 271, 269, 4962, 3230, 292, 318, 273, 2330, 476, 271, 269, 1015, 476, 271, 269, 3199, 476, 271, 269, 1015, 3230, 292, 318, 274, 2330, 476, 271, 269, 4962, 476, 271, 269, 2004, 476, 271, 269, 3393, 3230, 303, 22829, 10983, 14638, 476, 271, 269, 2004, 476, 271, 269, 2412, 476, 271, 269, 1015, 454, 272, 269, 10318, 14373, 3230, 303, 27887, 318, 274, 590, 318, 274, 14638, 563, 273, 269, 10016, 784, 32115, 6446, 19448, 1268, 320, 512, 1329, 324, 19448, 1534, 24265, 5203, 527, 7559, 630, 7562, 1609, 644, 3930, 632, 1064, 326, 2784, 334, 1040, 2485, 379, 290, 340, 5451, 331, 1965, 3288, 2625, 8494, 21059, 630, 1718, 545, 1308, 264, 632, 6446, 20527, 331, 522, 552, 12848, 575, 534, 541, 5451, 8096, 1839, 267, 1822, 522, 544, 27222, 888, 274, 269, 7402, 340, 550, 571, 3288, 2625, 8494, 21059, 2698, 632, 6446, 3288, 11008, 17144, 632, 3824, 637, 657, 632, 19448, 1268, 320, 4262, 620, 2367, 657, 16009, 620, 3279, 635, 334, 647, 562, 633, 331, 1534, 520, 16343, 563, 6944, 652, 541, 692, 320, 269, 2330, 303, 27887, 318, 274, 306, 318, 274, 264, 815, 623, 22829, 318, 274, 347, 292, 318, 274, 264, 303, 27887, 318, 274, 264, 815, 476, 271, 269, 3393, 1422, 10383, 476, 271, 269, 4962, 815, 476, 271, 269, 28873, 276, 9681, 321, 269, 3230, 303, 22829, 318, 273, 1422, 557, 324, 590, 318, 274, 347, 292, 318, 273, 264, 815, 476, 271, 269, 3199, 1341, 476, 271, 269, 1015, 815, 476, 271, 269, 3445, 9681, 322, 269, 3230, 335, 815, 630, 271, 269, 5952, 1341, 476, 271, 269, 1015, 1341, 476, 271, 269, 4962, 264, 1422, 10383, 476, 271, 269, 4792, 1341, 630, 271, 269, 3199, 1341, 476, 271, 269, 1015, 264, 1422, 10383, 476, 271, 269, 1789, 1341, 476, 271, 269, 3393, 1422, 10383, 476, 271, 269, 4962, 815, 476, 271, 269, 280, 5655, 276, 9681, 19865, 6695, 17273, 19340, 346, 1556, 15732, 1103, 513, 5619, 267, 476, 5952, 2600, 540, 519, 5520, 2161, 789, 3870, 513, 1978, 2754, 3609, 269, 19881, 1995, 6920, 602, 476, 736, 2600, 540, 1346, 945, 798, 711, 3870, 519, 3609, 2161, 602, 789, 798, 267, 856, 540, 4250, 540, 1065, 5142, 531, 269, 1548, 568, 519, 5506, 602, 606, 9441, 13603, 693, 4351, 2731, 1281, 3870, 519, 2754, 3609, 286, 898, 568, 10257, 547, 8263, 602, 782, 945, 3870, 2161, 865, 780, 2330, 303, 22829, 264, 815, 476, 271, 269, 5952, 18079, 3230, 303, 22829, 26180, 317, 322, 264, 815, 476, 271, 269, 736, 21974, 4746, 267, 10257, 547, 8263, 3230, 303, 22829, 26180, 264, 815, 476, 272, 29634, 2330, 303, 22829, 264, 815, 623, 22829, 26180, 264, 623, 263, 293, 264, 1341, 623, 22829, 26180, 317, 322, 264, 1496, 272, 910, 623, 263, 293, 13580, 2330, 10522, 3230, 303, 263, 293, 264, 815, 1422, 13320, 346, 303, 22829, 264, 910, 623, 22829, 26180, 317, 322, 20972, 272, 910, 623, 22829, 26180, 317, 322, 14587, 815, 1422, 13320, 346, 1724, 2410, 1626, 15732, 19865, 6695, 17273, 19340, 346, 1321, 15732, 288, 2298, 1852, 1895, 568, 8888, 606, 13128, 1449, 5650, 585, 11741, 12210, 5716, 4947, 689, 513, 2504, 1899, 269, 15232, 2982, 602, 835, 2600, 540, 519, 4559, 3812, 616, 26843, 269, 634, 13128, 1449, 5650, 814, 5506, 476, 271, 269, 4962, 540, 4758, 513, 7301, 2318, 16315, 543, 5506, 476, 271, 269, 6349, 540, 4758, 513, 7301, 2942, 269, 2334, 568, 267, 952, 3230, 291, 2330, 568, 519, 2680, 513, 1770, 7318, 568, 26843, 267, 543, 3230, 307, 2330, 568, 519, 2680, 602, 621, 4255, 25685, 267, 1287, 3230, 303, 24867, 25238, 264, 815, 476, 271, 269, 4962, 2330, 543, 3230, 303, 24867, 317, 322, 25238, 317, 322, 264, 815, 476, 271, 269, 6349, 21974, 14419, 519, 5506, 3230, 303, 20573, 317, 322, 30106, 14638, 6446, 19448, 796, 21059, 6446, 533, 4902, 2041, 536, 1329, 1609, 5451, 267, 632, 646, 11155, 267, 5391, 516, 632, 8919, 657, 780, 6944, 652, 541, 692, 11377, 13320, 346, 291, 317, 322, 30106, 2410, 303, 20573, 30106, 14587, 815, 1422, 13320, 346, 303, 24867, 25238, 317, 322, 264, 303, 20573, 317, 322, 20972, 303, 24867, 25238, 264, 303, 20573, 14587, 815, 1422, 13320, 346, 271, 269, 7176, 1422, 10383, 476, 271, 269, 4200, 2410, 271, 269, 4962, 1422, 10383, 476, 271, 269, 4905, 348, 815, 1422, 13320, 346, 280, 3583, 273, 2410, 276, 15732, 2330, 303, 20573, 317, 322, 30106, 264, 815, 1422, 13320, 346, 280, 3583, 273, 2410, 280, 3583, 278, 348, 815, 476, 272, 910, 1422, 13320, 346, 276, 2410, 280, 3583, 278, 15732, 292, 329, 2075, 545, 1470, 11377, 17273, 19340, 346, 1724, 15732, 290, 514, 1723, 1309, 329, 553, 632, 13365, 632, 8357, 807, 632, 934, 525, 334, 513, 548, 1807, 1470, 512, 1329, 523, 476, 1911, 796, 573, 3547, 11188, 1309, 10937, 269, 570, 1329, 523, 2463, 643, 3512, 324, 19448, 267, 13121, 267, 512, 637, 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 ]

[ 12945, 7397, 540, 9341, 3574, 29633, 538, 476, 1001, 275, 267, 5097, 547, 3624, 267, 14466, 7699, 1715, 19892, 630, 303, 7582, 264, 814, 1831, 519, 1158, 779, 4102, 1163, 7163, 540, 9341, 3574, 267, 20546, 532, 17111, 267, 799, 1185, 4371, 519, 1283, 5544, 585, 519, 454, 335, 770, 1896, 5756, 563, 307, 7211, 26216, 543, 19883, 616, 1950, 5396, 267, 21214, 513, 2039, 540, 886, 328, 1381, 2152, 267, 1519, 2244, 9562, 267, 519, 6940, 540, 2067, 2200, 267, 519, 1764, 593, 2916, 1689, 267, 519, 1514, 543, 2804, 1764, 540, 19883, 593, 9678, 543, 5266, 2150, 31189, 267, 7449, 14571, 5823, 2950, 267, 543, 519, 4027, 540, 519, 2596, 2924, 540, 519, 1004, 7255, 563, 303, 777, 7699, 1715, 19892, 779, 630, 303, 7582, 264, 7733, 543, 26216, 723, 5129, 606, 1271, 1909, 538, 519, 24454, 540, 519, 1004, 540, 519, 2197, 585, 1082, 1296, 269, 5983, 7370, 723, 3177, 513, 2707, 585, 1426, 267, 5613, 543, 10808, 267, 2679, 2326, 267, 16392, 2371, 267, 9249, 585, 9675, 543, 513, 5763, 540, 824, 2533, 563, 763, 1686, 540, 6683, 538, 623, 7582, 568, 827, 476, 1015, 476, 1822, 1296, 2025, 269, 901, 1686, 568, 12649, 1934, 538, 519, 2796, 540, 476, 2004, 476, 1822, 1296, 540, 1480, 13567, 540, 519, 5245, 1107, 1715, 19892, 3148, 269, 476, 272, 2859, 568, 1634, 827, 1018, 814, 5949, 683, 13145, 547, 519, 1459, 267, 2523, 2094, 476, 6942, 271, 267, 982, 827, 519, 11397, 2250, 269, 13518, 540, 519, 2038, 1686, 630, 2181, 20931, 264, 540, 623, 7582, 729, 7164, 2394, 827, 476, 2004, 1296, 3516, 267, 855, 2094, 476, 4198, 280, 972, 814, 1044, 513, 2603, 540, 1382, 593, 519, 840, 20931, 540, 623, 7582, 267, 609, 513, 2101, 1445, 593, 6683, 269, 1717, 267, 713, 568, 513, 6385, 9687, 2361, 540, 1353, 543, 938, 1620, 540, 454, 300, 573, 3118, 909, 519, 19527, 540, 519, 1656, 690, 19660, 267, 631, 7546, 583, 23981, 267, 543, 918, 1495, 27332, 10239, 602, 4473, 909, 689, 519, 4478, 6360, 680, 1622, 543, 5094, 5101, 9484, 1731, 19435, 689, 1621, 320, 543, 5375, 4400, 4133, 28393, 806, 538, 14466, 7699, 1715, 19892, 267, 616, 519, 2757, 17260, 540, 519, 772, 680, 663, 19966, 325, 1495, 328, 1004, 630, 305, 657, 1723, 324, 1299, 20052, 3316, 476, 1220, 275, 281, 11463, 1040, 11829, 7685, 540, 23296, 15078, 454, 10521, 540, 519, 796, 753, 26833, 2055, 540, 14466, 7699, 1715, 19892, 840, 20931, 616, 281, 630, 272, 264, 2436, 6683, 729, 1459, 454, 514, 519, 4571, 6953, 565, 18152, 711, 1152, 538, 519, 1164, 4133, 855, 849, 538, 519, 1970, 4133, 543, 645, 1143, 541, 1188, 5246, 28396, 543, 630, 273, 264, 31347, 519, 4527, 540, 6683, 1522, 723, 1044, 6766, 676, 5872, 1063, 891, 4525, 269, 901, 1957, 9607, 891, 2055, 998, 606, 2079, 540, 22300, 6149, 6180, 1513, 267, 11641, 956, 543, 5515, 267, 799, 3180, 1344, 593, 1312, 2511, 543, 1599, 563, 1015, 533, 3042, 3561, 24152, 519, 1646, 543, 5726, 538, 7239, 540, 1390, 2686, 543, 6211, 4763, 538, 1715, 19892, 540, 623, 7582, 269, 901, 729, 3370, 538, 476, 1220, 274, 454, 297, 32177, 13474, 28483, 593, 5113, 540, 14466, 7699, 1715, 19892, 630, 303, 7582, 264, 729, 5645, 856, 676, 519, 12020, 543, 16214, 4972, 3567, 4139, 29046, 10837, 538, 5988, 476, 1220, 273, 269, 901, 476, 4391, 533, 3042, 1867, 14592, 623, 7582, 781, 1249, 9212, 267, 3919, 2497, 267, 9086, 267, 1699, 2825, 2152, 543, 3486, 1894, 1063, 623, 7582, 543, 18246, 2477, 454, 15430, 757, 623, 7582, 781, 3922, 1242, 2825, 4145, 799, 1331, 281, 476, 272, 264, 7025, 2175, 1107, 14466, 7699, 1715, 19892, 476, 273, 264, 7025, 4027, 1107, 14466, 7699, 1715, 19892, 476, 274, 264, 7025, 1764, 2079, 1107, 14466, 7699, 1715, 19892, 476, 275, 264, 5398, 1072, 1107, 7025, 1107, 14466, 7699, 1715, 19892, 476, 276, 264, 13149, 2200, 1107, 11094, 1107, 14466, 7699, 1715, 19892, 476, 277, 264, 30656, 5726, 1107, 14466, 7699, 1715, 19892, 454, 27751, 568, 1710, 2331, 676, 519, 3864, 8189, 543, 568, 4843, 676, 6004, 269, 31722, 645, 867, 523, 543, 6004, 269, 717, 732, 628, 24156, 540, 631, 20062, 14408, 585, 519, 6554, 540, 14466, 7699, 1715, 19892, 543, 519, 3864, 8189, 269, 898, 1281, 711, 8209, 2992, 519, 6644, 540, 519, 6554, 540, 14466, 7699, 1715, 19892, 610, 519, 3864, 8189, 0, 21093, 513, 2168, 1354, 4098, 513, 2168, 2534, 568, 1883, 547, 2921, 1416, 540, 707, 1072, 563, 21357, 20180, 528, 12736, 8725, 18578, 11252, 744, 577, 10394, 16362, 540, 11846, 6925, 267, 19995, 693, 3213, 727, 9366, 17721, 16195, 563, 19865, 666, 723, 1082, 2640, 267, 855, 1152, 952, 621, 568, 2944, 5265, 269, 589, 2168, 981, 1058, 581, 2944, 1991, 547, 1022, 2168, 2534, 269, 901, 2636, 519, 1367, 602, 16858, 547, 3635, 610, 7119, 538, 513, 7328, 547, 581, 2922, 543, 2635, 563, 1103, 1931, 585, 2576, 779, 2168, 2175, 547, 581, 11117, 1991, 547, 2502, 538, 513, 1880, 3635, 267, 519, 1268, 1058, 4309, 513, 2168, 981, 602, 23403, 741, 19206, 267, 4187, 543, 4222, 563, 1607, 9584, 11887, 1142, 1268, 779, 7687, 267, 799, 616, 6027, 2687, 547, 519, 6981, 540, 5135, 950, 16706, 269, 1280, 1383, 267, 621, 27786, 875, 1082, 3126, 543, 10221, 1431, 666, 513, 1268, 16641, 1354, 741, 1072, 543, 2168, 8699, 568, 19847, 269, 968, 1607, 1907, 6971, 519, 8458, 540, 2348, 513, 2295, 4323, 1247, 16706, 269, 898, 849, 5713, 607, 513, 1259, 547, 13209, 2175, 602, 949, 581, 4299, 676, 707, 3635, 6296, 2223, 6941, 12736, 8725, 18578, 11252, 744, 577, 10394, 267, 16362, 540, 11846, 6925, 563, 26212, 547, 4152, 2576, 779, 2168, 19206, 267, 741, 2564, 1686, 267, 1519, 3105, 7063, 543, 4189, 6208, 267, 568, 12649, 269, 2991, 713, 1344, 568, 2312, 267, 2168, 2175, 616, 12290, 998, 513, 2489, 11095, 2079, 269, 634, 30273, 1062, 568, 849, 12649, 607, 1134, 607, 4222, 1377, 543, 8112, 563, 1607, 2168, 981, 568, 1360, 3730, 585, 6616, 875, 547, 2259, 5026, 538, 513, 2635, 1259, 267, 1247, 2921, 519, 2189, 4162, 540, 1142, 1367, 883, 7156, 269, 901, 2079, 666, 948, 1020, 606, 3635, 1544, 519, 13352, 1114, 2115, 563, 25444, 1058, 1491, 713, 981, 1991, 547, 4098, 513, 1007, 2168, 2534, 269, 898, 568, 811, 22317, 585, 2367, 543, 2021, 936, 519, 2085, 540, 476, 4649, 547, 1491, 519, 981, 267, 2705, 267, 607, 2295, 1981, 543, 1761, 3441, 547, 519, 6091, 2333, 1310, 713, 2085, 563, 2108, 24375, 940, 547, 1404, 5026, 1510, 6616, 707, 7182, 666, 1291, 547, 3978, 4539, 971, 607, 513, 3099, 540, 7063, 543, 513, 2530, 538, 707, 7929, 19206, 269, 8447, 11400, 666, 948, 2057, 891, 2010, 540, 2042, 2223, 18578, 11252, 2829, 563, 1607, 1826, 540, 9584, 1058, 581, 5342, 22991, 607, 519, 1560, 568, 538, 3586, 7004, 543, 922, 2175, 11179, 1689, 269, 634, 981, 5849, 602, 2043, 616, 5963, 5423, 547, 3635, 1510, 1966, 269, 898, 849, 2636, 873, 547, 2697, 4617, 2798, 610, 7687, 267, 799, 666, 2087, 998, 519, 2168, 2534, 3294, 676, 4758, 707, 1655, 543, 8165, 547, 1205, 519, 1655, 2164, 563, 2026, 519, 6031, 4422, 267, 968, 2005, 779, 1732, 547, 581, 2922, 267, 982, 20994, 1848, 8447, 11400, 1683, 1344, 593, 519, 1560, 779, 2783, 269, 898, 568, 513, 4990, 540, 3391, 1504, 585, 519, 15416, 547, 1491, 1282, 3635, 269, 898, 568, 513, 31387, 547, 1620, 519, 2200, 596, 723, 547, 960, 609, 543, 1018, 596, 991, 547, 960, 811, 593, 563, 763, 6662, 540, 713, 1907, 568, 547, 2149, 519, 1072, 540, 2043, 543, 585, 519, 7328, 547, 581, 606, 8665, 540, 2318, 1689, 585, 782, 945, 7119, 538, 621, 563, 3963, 1404, 5026, 888, 6524, 7446, 606, 3635, 6296, 267, 621, 568, 1271, 547, 3313, 519, 3804, 540, 2502, 538, 519, 2534, 269, 1280, 1383, 267, 616, 596, 16706, 9003, 585, 1072, 5301, 286, 2107, 798, 596, 1616, 547, 6336, 2597, 2394, 596, 3914, 707, 3804, 888, 16605, 538, 2247, 602, 606, 3635, 6296, 666, 581, 7368, 538, 519, 3169, 1482, 1259, 676, 1079, 1004, 267, 855, 922, 2164, 786, 4268, 4470, 593, 519, 1367, 269, 968, 2005, 568, 513, 1434, 2856, 585, 1004, 547, 3914, 856, 547, 12665, 602, 666, 948, 873, 1305, 1808, 3853, 1759, 593, 741, 1367, 2115, 2223, 8843, 8516, 26519, 267, 590, 1120, 1470, 5548, 30807, 334, 563, 2414, 6336, 2597, 267, 2168, 2534, 1058, 581, 1759, 593, 9025, 3635, 1927, 609, 513, 7594, 1544, 602, 2337, 596, 547, 9004, 13802, 543, 3536, 602, 616, 711, 6225, 547, 707, 1072, 563, 2252, 707, 3077, 568, 547, 581, 2635, 543, 960, 2509, 8236, 606, 18942, 4137, 267, 707, 3635, 6296, 1058, 581, 811, 1950, 543, 1058, 1331, 1312, 9025, 543, 4887, 23736, 269, 10791, 849, 4249, 513, 2565, 1909, 538, 713, 2013, 543, 707, 3232, 6296, 1058, 581, 1759, 593, 2635, 2853, 971, 607, 12008, 1134, 267, 2348, 1434, 14302, 267, 3092, 563, 1911, 260, 568, 519, 6871, 676, 799, 519, 1981, 585, 2348, 513, 2295, 4323, 4679, 1851, 15964, 9845, 563, 268, 700, 14823, 1932, 1454, 2597, 610, 16706, 585, 1932, 1279, 568, 835, 540, 519, 1034, 1455, 3123, 540, 5026, 7063, 269, 1358, 616, 849, 7928, 950, 513, 15904, 6296, 568, 711, 7157, 3964, 267, 799, 568, 1946, 621, 568, 1271, 547, 723, 519, 5583, 540, 513, 14468, 26519, 563, 268, 6787, 1813, 547, 513, 3668, 540, 942, 610, 3668, 540, 1995, 267, 930, 1004, 2253, 741, 23736, 1510, 8337, 909, 25656, 269, 1975, 2056, 942, 8337, 909, 519, 6091, 267, 2523, 1346, 602, 786, 581, 1031, 1282, 707, 6296, 267, 24024, 519, 1981, 540, 5945, 563, 268, 1403, 596, 798, 3614, 675, 3054, 267, 3247, 707, 15904, 5612, 269, 8033, 5224, 547, 3635, 1223, 2014, 2417, 3441, 269, 4634, 952, 519, 9636, 610, 1928, 568, 5634, 267, 519, 1655, 3903, 568, 547, 2569, 1022, 6553, 269, 898, 568, 1655, 547, 1964, 543, 4019, 3002, 543, 4411, 3797, 563, 268, 589, 1544, 585, 1697, 6484, 602, 17015, 519, 3635, 596, 616, 3257, 786, 11694, 707, 2164, 269, 4676, 1778, 689, 4189, 1318, 1354, 513, 15904, 543, 798, 711, 6445, 909, 593, 1426, 19952, 282, 3079, 540, 8236, 519, 2164, 596, 1616, 267, 713, 3123, 4887, 9854, 607, 1134, 607, 2949, 9854, 269, 0, 288, 3859, 1062, 1281, 711, 1152, 960, 693, 5021, 4390, 269, 769, 1970, 1769, 2175, 971, 607, 2038, 538, 519, 6640, 610, 950, 621, 568, 936, 4751, 267, 3859, 8440, 786, 1869, 6460, 1769, 883, 1379, 585, 707, 1753, 267, 1175, 693, 513, 4389, 2557, 563, 2690, 1383, 267, 513, 476, 276, 330, 310, 1062, 949, 1152, 581, 3977, 1154, 476, 273, 330, 310, 338, 540, 1379, 593, 513, 31063, 1554, 269, 1703, 568, 513, 1448, 1141, 519, 1648, 3812, 568, 1100, 3476, 2178, 2614, 547, 1379, 519, 28860, 543, 519, 1062, 786, 2490, 1055, 269, 901, 4523, 1169, 10543, 543, 5310, 1282, 606, 2523, 4158, 7088, 563, 2080, 568, 606, 1383, 540, 835, 540, 938, 1164, 7900, 2037, 874, 848, 5843, 769, 591, 614, 1949, 593, 606, 936, 4751, 1554, 269, 1306, 596, 666, 1294, 3977, 666, 1689, 8792, 676, 8792, 607, 519, 3141, 2501, 856, 543, 7106, 8986, 1586, 3297, 519, 12269, 269, 901, 1062, 568, 7259, 730, 1175, 7178, 540, 5087, 865, 519, 8445, 3859, 3977, 4386, 689, 3735, 6640, 998, 547, 1472, 476, 275, 10681, 538, 519, 12784, 269, 901, 568, 606, 2038, 5614, 1554, 630, 20826, 264, 865, 519, 8445, 3977, 1974, 786, 2333, 538, 3259, 936, 4832, 267, 543, 581, 513, 2370, 10156, 538, 5162, 269, 0, 1692, 1082, 10101, 540, 5135, 616, 6394, 538, 513, 5114, 1141, 476, 20720, 20853, 540, 5135, 3154, 568, 6394, 936, 1216, 693, 513, 2837, 540, 476, 1839, 11019, 290, 543, 513, 2698, 2604, 540, 476, 7597, 278, 8731, 337, 888, 24127, 540, 5135, 815, 476, 20720, 20853, 563, 307, 17687, 630, 307, 264, 815, 476, 1839, 11019, 290, 4586, 18208, 675, 630, 303, 264, 815, 476, 7597, 278, 8731, 337, 4586, 8245, 2952, 946, 519, 4998, 3154, 3830, 281, 14346, 815, 562, 20670, 454, 303, 815, 2604, 815, 476, 278, 1704, 8731, 337, 454, 309, 815, 4320, 815, 476, 20720, 20853, 610, 476, 271, 269, 20720, 700, 454, 333, 815, 7164, 454, 305, 815, 3154, 3586, 815, 476, 271, 269, 5400, 273, 6187, 700, 265, 520, 332 ]

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

[ 713, 3184, 267, 519, 2278, 29808, 602, 519, 1344, 543, 2984, 949, 581, 13347, 1154, 543, 7512, 3988, 547, 3914, 856, 547, 3237, 610, 1776, 11967, 2937, 585, 1489, 269, 12267, 689, 10821, 1153, 15000, 543, 741, 3885, 267, 6337, 540, 1004, 543, 21517, 267, 607, 1134, 607, 513, 5758, 540, 3140, 5013, 689, 602, 5736, 1118, 713, 3184, 1312, 4277, 543, 13181, 269, 14506, 2055, 602, 4497, 3988, 593, 1312, 513, 5042, 543, 3929, 1377, 1331, 968, 3963, 798, 596, 1589, 519, 6554, 540, 4516, 1500, 621, 10363, 585, 7087, 1004, 547, 2259, 741, 18428, 9495, 630, 4375, 1070, 968, 1432, 1032, 1705, 519, 2063, 1763, 7808, 3427, 538, 707, 11662, 270, 614, 761, 800, 2673, 9495, 630, 4366, 1070, 543, 968, 1692, 798, 596, 1589, 621, 1131, 1745, 547, 581, 5219, 547, 676, 513, 1297, 3079, 540, 707, 2012, 9495, 630, 7906, 1916, 763, 3791, 3184, 267, 968, 27094, 281, 7316, 1684, 1284, 5776, 4653, 9495, 7512, 3988, 547, 2015, 2648, 607, 513, 1797, 547, 936, 12741, 9409, 543, 12115, 519, 16398, 2813, 676, 519, 10821, 3506, 269, 22630, 8055, 5267, 602, 4516, 779, 3460, 540, 21047, 3340, 2648, 602, 968, 529, 12082, 538, 2463, 543, 26549, 519, 22464, 540, 1142, 1367, 892, 630, 3199, 1070, 513, 3210, 602, 729, 10355, 13736, 538, 519, 10821, 1153, 1995, 269, 901, 3184, 2882, 2984, 689, 1312, 1762, 1004, 9907, 8370, 547, 24369, 1296, 2025, 543, 4079, 945, 941, 26906, 538, 1931, 547, 2671, 741, 1620, 540, 21047, 269, 634, 1686, 3992, 5170, 609, 1344, 827, 519, 4095, 1763, 7808, 12140, 5590, 25557, 15716, 267, 519, 3284, 1108, 1500, 676, 4516, 779, 6305, 14012, 24697, 22489, 267, 543, 519, 18266, 543, 26532, 16624, 8189, 543, 519, 2621, 602, 4553, 269, 11088, 267, 3988, 616, 13934, 547, 1582, 18022, 937, 607, 789, 2015, 2055, 971, 607, 968, 1432, 1281, 621, 1611, 547, 23294, 1125, 9495, 630, 6434, 264, 543, 968, 8489, 798, 596, 1294, 707, 2146, 2921, 2962, 9495, 630, 9834, 1916, 763, 3803, 3184, 267, 968, 30747, 1145, 543, 5589, 760, 10635, 640, 281, 7316, 1684, 1284, 3619, 3245, 3371, 9495, 5267, 602, 519, 3460, 540, 21047, 568, 513, 1184, 538, 799, 649, 786, 991, 547, 3136, 547, 1332, 267, 12115, 267, 1451, 267, 543, 1265, 938, 1259, 4464, 269, 22630, 8055, 6257, 21047, 607, 606, 5571, 3460, 602, 666, 581, 6010, 2989, 547, 2679, 13123, 563, 11854, 1136, 3776, 18266, 281, 589, 17714, 540, 26532, 16624, 267, 676, 3933, 1664, 22630, 8055, 630, 7775, 8619, 7734, 267, 476, 1001, 278, 994, 7804, 269, 3798, 603, 8709, 3541, 4425, 558, 568, 19608, 7905, 540, 519, 13898, 540, 4065, 543, 519, 6657, 540, 16677, 698, 9609, 267, 607, 1134, 607, 10615, 540, 519, 9457, 540, 8551, 538, 13898, 538, 12409, 15557, 693, 519, 4659, 540, 4168, 5525, 538, 17842, 267, 14411, 269, 2060, 936, 13977, 21144, 1296, 540, 1995, 607, 606, 19829, 538, 1312, 918, 1700, 279, 3506, 543, 6280, 5468, 267, 1352, 26342, 602, 1352, 814, 28322, 689, 22864, 1813, 547, 519, 3043, 2681, 540, 1200, 2960, 543, 568, 593, 513, 3460, 547, 1831, 811, 3222, 540, 519, 7292, 543, 2686, 17536, 1182, 1369, 938, 1158, 543, 4481, 538, 938, 13460, 269, 0, 25542, 540, 18479, 17100, 568, 513, 1514, 13055, 1759, 538, 15057, 543, 519, 2136, 2276, 269, 1358, 616, 513, 5698, 540, 1099, 5505, 267, 5726, 1235, 267, 7855, 267, 3014, 9858, 267, 543, 2054, 1235, 2324, 1927, 2509, 2870, 513, 6793, 4276, 1063, 1004, 543, 3552, 2831, 563, 27154, 9194, 568, 4742, 606, 5051, 13155, 7613, 269, 1677, 1732, 1174, 1480, 1764, 593, 3662, 3350, 543, 519, 7496, 789, 7237, 267, 5726, 1235, 1590, 7048, 593, 1239, 269, 10439, 1944, 9194, 3270, 3947, 3744, 513, 2070, 883, 9194, 9620, 855, 849, 2636, 3408, 540, 7320, 4027, 3435, 563, 2304, 2502, 267, 2110, 267, 1239, 2861, 17245, 602, 8711, 519, 2956, 540, 11018, 1164, 7779, 267, 15870, 1239, 689, 2831, 547, 2149, 7320, 563, 2171, 9916, 519, 15870, 1239, 689, 1614, 1114, 2516, 540, 2831, 547, 3605, 4277, 3270, 538, 741, 15322, 543, 11507, 269, 634, 14318, 5205, 1614, 3552, 2831, 2443, 19246, 267, 21495, 543, 3552, 324, 2041, 652, 2443, 26500, 741, 2984, 998, 1239, 6394, 689, 741, 15870, 2458, 1513, 563, 4415, 938, 17245, 267, 649, 7866, 741, 6909, 9194, 543, 519, 25031, 812, 13402, 9465, 789, 3068, 538, 741, 1391, 585, 6668, 563, 5629, 649, 22942, 539, 519, 1614, 1114, 2831, 593, 799, 547, 1445, 267, 649, 3459, 609, 24152, 741, 2984, 267, 11516, 4221, 1650, 15236, 267, 543, 8159, 519, 1413, 543, 1745, 540, 519, 27515, 563, 4415, 519, 5351, 540, 4463, 2173, 2355, 543, 9682, 11052, 267, 649, 9903, 730, 519, 3979, 8916, 538, 476, 274, 291, 5196, 799, 649, 28367, 519, 1239, 269, 634, 27515, 1246, 519, 2831, 2066, 519, 8916, 10223, 741, 6074, 11507, 543, 20515, 519, 5079, 3297, 741, 2623, 269, 589, 2319, 540, 5726, 1235, 6035, 741, 6791, 543, 3177, 721, 609, 2796, 547, 891, 1726, 802, 563, 763, 1650, 540, 3509, 4673, 5205, 513, 476, 2918, 4458, 6040, 17707, 2713, 593, 3509, 4673, 681, 21123, 267, 513, 27352, 11262, 267, 6870, 1858, 538, 25157, 269, 4173, 9477, 1239, 6645, 721, 602, 1352, 5781, 2306, 513, 19408, 15385, 936, 513, 19814, 547, 3914, 513, 6070, 3443, 543, 14183, 1200, 6159, 1324, 585, 9770, 563, 306, 8651, 18307, 584, 543, 27223, 616, 1079, 17794, 612, 525, 2713, 538, 1924, 903, 3711, 340, 20271, 3599, 267, 9674, 950, 513, 1007, 20545, 568, 25517, 543, 17337, 741, 8513, 269, 4256, 1239, 9414, 519, 30925, 1063, 519, 2067, 1158, 543, 1480, 6188, 15297, 563, 2171, 13173, 3026, 520, 5622, 593, 1200, 3460, 1282, 519, 1390, 9194, 269, 27405, 13124, 267, 3026, 520, 5622, 3762, 1200, 23636, 543, 26082, 6634, 540, 824, 3552, 324, 2041, 3949, 547, 1178, 2763, 593, 519, 4195, 2250, 999, 538, 519, 590, 699, 978, 564, 328, 269, 634, 1739, 1032, 267, 1352, 556, 14765, 1231, 1200, 23636, 1394, 538, 519, 5087, 563, 2171, 4607, 1239, 6119, 689, 1142, 3662, 5627, 15870, 27897, 1239, 267, 609, 1239, 2798, 26159, 3350, 693, 2834, 11996, 563, 5629, 649, 1185, 6569, 29927, 543, 11410, 565, 730, 1063, 7508, 8100, 267, 649, 9268, 519, 1239, 538, 5124, 547, 5352, 2592, 267, 11708, 543, 7044, 540, 519, 2831, 685, 15322, 563, 4002, 519, 524, 22273, 540, 513, 3460, 602, 779, 2693, 547, 1689, 519, 3068, 540, 519, 2825, 5823, 11014, 563, 763, 3804, 568, 547, 1921, 811, 1004, 609, 519, 3232, 2729, 540, 2831, 543, 6318, 1489, 585, 5726, 3646, 563, 4415, 519, 1318, 7271, 585, 554, 8504, 543, 2502, 519, 5304, 267, 649, 3494, 649, 666, 9062, 519, 1297, 540, 7320, 12439, 1472, 519, 1158, 269, 0, 2419, 4821, 518, 3591, 1208, 18442, 910, 11335, 630, 28158, 264, 27684, 6022, 916, 454, 289, 21392, 1634, 607, 519, 27925, 540, 853, 269, 8834, 267, 932, 4821, 518, 3591, 1208, 18442, 616, 21221, 2249, 602, 2356, 798, 711, 9765, 519, 4463, 540, 476, 273, 332, 269, 1358, 616, 10980, 11259, 267, 6070, 27031, 543, 849, 723, 4187, 547, 11626, 5533, 269, 1358, 616, 5078, 585, 10859, 6879, 12184, 610, 26484, 7158, 269, 1358, 16641, 538, 5210, 689, 910, 736, 11019, 290, 269, 1358, 723, 513, 3500, 2208, 602, 6238, 689, 519, 3844, 17657, 547, 519, 1055, 3333, 334, 1824, 269, 1358, 666, 581, 12630, 14384, 610, 538, 9343, 267, 538, 4224, 10651, 543, 538, 9381, 2127, 269, 14936, 267, 519, 8691, 540, 519, 2030, 568, 2944, 676, 6079, 563, 1103, 938, 21543, 972, 616, 7366, 540, 2371, 609, 2789, 959, 16218, 689, 476, 271, 269, 2004, 17744, 547, 476, 272, 268, 476, 272, 269, 276, 7397, 4463, 17657, 269, 0, 4504, 13656, 17296, 21131, 568, 25623, 1282, 13165, 269, 932, 565, 5028, 25560, 568, 9658, 1540, 676, 536, 716, 324, 1862, 8922, 966, 756, 26369, 26601, 5028, 543, 568, 3743, 585, 519, 1216, 344, 13165, 1310, 26601, 5028, 3968, 269, 11115, 12264, 267, 26601, 5028, 25560, 4679, 29296, 28023, 589, 6573, 267, 799, 13604, 31591, 3940, 32635, 589, 543, 519, 2166, 10973, 27470, 18993, 19830, 2033, 26273, 17296, 8756, 630, 290, 10499, 305, 1916, 4913, 267, 649, 5063, 4857, 606, 15499, 524, 21283, 4211, 320, 3444, 2389, 1779, 15202, 13374, 602, 568, 15748, 676, 15038, 540, 29296, 524, 21283, 543, 13604, 6173, 919, 29296, 6970, 9830, 998, 519, 5385, 3940, 15181, 676, 524, 21283, 630, 22977, 659, 1040, 901, 8343, 5267, 602, 1312, 595, 10499, 305, 543, 7513, 19840, 17300, 17296, 9055, 616, 9072, 540, 11506, 29296, 524, 21283, 15202, 11140, 563, 11997, 267, 649, 616, 4974, 519, 1909, 540, 7513, 19840, 17300, 1849, 9055, 538, 15499, 17296, 21131, 896, 12214, 2175, 543, 1282, 13165, 269, 1284, 616, 849, 8159, 2436, 519, 5063, 4857, 18993, 19830, 2033, 3940, 476, 1626, 1920, 540, 5946, 267, 799, 616, 7513, 19840, 17300, 17296, 9055, 267, 568, 849, 3238, 538, 15499, 17296, 21131, 538, 1840, 547, 519, 1134, 6353, 595, 10499, 305, 8756, 563, 19102, 1078, 1620, 540, 7939, 540, 15499, 1849, 21131, 2488, 519, 2556, 4282, 1344, 585, 519, 1646, 540, 9354, 5061, 585, 519, 2126, 540, 13165, 267, 19228, 543, 2166, 10973, 27470, 269, 634, 6602, 602, 7513, 19840, 17300, 17296, 9055, 616, 3238, 538, 15499, 17296, 21131, 2488, 3606, 9072, 585, 4550, 26817, 1551, 9996, 3075, 1646, 269, 1613, 811, 454, 5353, 4038, 800, 13165, 568, 513, 3056, 2014, 540, 6689, 24896, 543, 9019, 538, 3384, 1293, 337, 1862, 625, 269, 2755, 13165, 666, 581, 5701, 609, 5711, 556, 5139, 1674, 3070, 630, 27633, 1070, 10014, 540, 13058, 609, 5711, 10758, 306, 814, 1044, 3254, 547, 2569, 519, 8653, 540, 13165, 269, 1717, 267, 875, 13058, 10607, 13165, 568, 711, 1634, 563, 2005, 814, 1044, 3254, 602, 13058, 6411, 607, 606, 15499, 25853, 1591, 1666, 565, 8632, 11379, 8756, 3625, 518, 540, 28023, 589, 6573, 24975, 17296, 21131, 269, 1284, 4362, 602, 13058, 849, 22262, 15499, 9770, 543, 1216, 10338, 3842, 519, 25853, 10878, 26260, 9401, 9734, 267, 715, 4047, 274, 269, 2098, 4532, 10941, 525, 519, 1198, 540, 28023, 589, 6573, 22629, 540, 715, 4047, 274, 2534, 269, 634, 1198, 540, 13058, 593, 715, 4047, 274, 3112, 581, 5918, 6088, 609, 824, 546, 20884, 4496, 12274, 269, 898, 814, 1044, 1134, 3964, 602, 10878, 26260, 9401, 9734, 9431, 5946, 616, 3238, 538, 715, 4047, 274, 7939, 563, 15371, 891, 9431, 5946, 616, 3238, 538, 13058, 14242, 540, 715, 4047, 274, 568, 513, 1445, 540, 938, 1353, 269, 3776, 3804, 568, 547, 7866, 6127, 547, 2491, 875, 13058, 10607, 13165, 543, 547, 1174, 519, 1909, 540, 13058, 538, 6070, 543, 1216, 27921, 538, 519, 8937, 269, 3776, 1353, 786, 1683, 513, 3621, 4493, 547, 17854, 519, 10014, 540, 13058, 538, 10758, 306, 585, 519, 2126, 540, 5728, 800, 13165, 269, 1613, 811, 454, 12867, 538, 519, 22956, 2098, 778, 657, 6997, 960, 547, 1174, 7648, 538, 3940, 19338, 555, 320, 1862, 339, 2049, 1282, 2619, 19398, 8344, 2175, 602, 2014, 9357, 543, 1216, 3560, 602, 1267, 538, 13165, 269, 1284, 5063, 4857, 513, 804, 987, 12541, 23949, 8817, 1439, 7514, 6776, 13374, 3743, 585, 11506, 29296, 7513, 24975, 22629, 540, 715, 4047, 274, 2534, 538, 15499, 25853, 2281, 269, 1284, 946, 4359, 9196, 2553, 267, 1519, 1476, 5914, 543, 3818, 14428, 582, 517, 22794, 267, 547, 21656, 3940, 19338, 540, 15499, 1098, 1602, 1562, 269, 1284, 849, 1685, 6198, 29508, 1210, 24638, 28525, 630, 7806, 328, 6248, 543, 1875, 268, 7806, 328, 6248, 264, 547, 2268, 9357, 3560, 538, 1591, 2528, 3631, 267, 16856, 15499, 8031, 543, 1480, 1507, 15499, 4283, 6950, 269, 1613, 811, 0, 29445, 15776, 12340, 10660, 1229, 3182, 3645, 454, 18080, 19761, 538, 519, 2136, 2276, 269, 18004, 538, 4789, 538, 476, 9264, 272, 607, 8361, 454, 290, 6621, 267, 646, 4682, 547, 960, 607, 606, 23678, 591, 585, 519, 16503, 3603, 5507, 454, 21158, 1282, 922, 15713, 1032, 540, 476, 7277, 273, 269, 2991, 7836, 3670, 1296, 972, 267, 646, 6294, 3603, 538, 476, 7277, 279, 547, 519, 454, 18197, 2276, 267, 1141, 646, 5249, 5702, 609, 623, 269, 570, 269, 4446, 11133, 585, 1896, 454, 5475, 1373, 3238, 538, 824, 454, 650, 755, 3603, 11356, 26136, 538, 519, 2038, 476, 6977, 271, 779, 267, 15776, 12340, 630, 15367, 454, 5586, 958, 7550, 1010, 4050, 2012, 264, 3323, 7671, 15776, 12340, 781, 16503, 3603, 454, 25582, 569, 593, 5412, 476, 1428 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10932, 8668, 779, 642, 291, 3201, 630, 24058, 1436, 543, 4578, 5811, 12524, 1070, 3884, 1406, 1152, 513, 1747, 585, 3695, 1114, 19178, 609, 707, 1382, 609, 15283, 267, 855, 513, 1259, 547, 1449, 856, 3113, 1227, 14021, 1382, 563, 300, 9222, 9995, 15772, 9986, 643, 2946, 267, 513, 12854, 2875, 538, 519, 3427, 540, 8950, 3163, 568, 2679, 513, 1007, 1617, 574, 27567, 5872, 11837, 5943, 585, 476, 274, 291, 1843, 12879, 1369, 519, 5691, 4641, 630, 23623, 264, 7706, 563, 5445, 1031, 519, 12242, 715, 4668, 8656, 476, 10482, 271, 23621, 12449, 6486, 538, 519, 642, 291, 3201, 779, 960, 23667, 547, 1449, 741, 5943, 267, 799, 3091, 2789, 3527, 585, 9013, 476, 274, 291, 14449, 593, 18376, 14044, 2037, 4921, 3850, 12427, 547, 1685, 2789, 2238, 693, 2899, 563, 2690, 1383, 267, 538, 519, 2592, 1657, 267, 519, 3593, 666, 8195, 1847, 519, 642, 2135, 1564, 540, 519, 476, 274, 291, 1843, 543, 2824, 513, 15839, 540, 519, 10471, 8268, 543, 1847, 621, 607, 1134, 547, 17967, 519, 3593, 8254, 547, 1294, 519, 1732, 5086, 585, 3408, 563, 2252, 596, 1131, 899, 547, 946, 519, 642, 291, 3201, 779, 960, 23667, 585, 3113, 1227, 14021, 7384, 267, 547, 2119, 938, 15283, 6703, 267, 610, 723, 513, 2489, 642, 291, 3201, 679, 11431, 267, 3346, 3194, 8668, 610, 26056, 8381, 32024, 269, 0, 14112, 2626, 585, 17169, 540, 7507, 950, 4906, 729, 4535, 912, 20606, 639, 19332, 729, 519, 17169, 540, 7507, 950, 4906, 729, 4535, 269, 1261, 12199, 689, 476, 2767, 7460, 2394, 1010, 2669, 538, 5084, 476, 1691, 543, 568, 1634, 585, 8744, 4708, 543, 6617, 547, 4936, 2486, 267, 15713, 519, 10504, 267, 543, 9591, 513, 1974, 540, 13884, 5219, 547, 607, 519, 623, 1314, 4936, 320, 563, 8139, 519, 10020, 540, 519, 14890, 538, 9147, 7507, 4438, 4906, 685, 17510, 454, 763, 4936, 7276, 729, 835, 540, 519, 1034, 3532, 543, 9565, 12977, 538, 1686, 267, 609, 513, 1950, 1062, 540, 10350, 602, 5129, 513, 11358, 1909, 538, 5935, 1082, 3344, 540, 2486, 269, 2311, 519, 2295, 540, 713, 1062, 2893, 519, 14890, 267, 945, 4371, 18678, 6392, 936, 782, 2127, 540, 1272, 689, 6214, 547, 4984, 269, 1809, 1018, 729, 519, 1909, 540, 713, 28430, 4137, 1282, 4906, 685, 4332, 286, 2913, 779, 1491, 513, 6251, 1413, 563, 7628, 4906, 685, 4332, 267, 31217, 19332, 12199, 607, 14890, 630, 516, 11220, 476, 2767, 7460, 1107, 476, 1691, 5084, 1070, 2348, 15110, 1379, 689, 25840, 19332, 1310, 1010, 26923, 930, 1296, 4505, 269, 898, 568, 4502, 15663, 602, 3504, 7507, 4718, 900, 30752, 607, 811, 982, 6071, 2797, 3401, 282, 789, 941, 849, 2808, 10859, 1673, 643, 710, 5515, 28429, 7060, 3564, 1346, 6488, 539, 547, 1022, 824, 1480, 1373, 563, 2026, 971, 267, 31217, 1185, 1713, 3310, 711, 1152, 593, 2797, 6927, 855, 849, 3909, 3283, 1107, 646, 1223, 581, 9763, 607, 1312, 533, 2632, 1057, 343, 12366, 639, 630, 27815, 17308, 264, 543, 17169, 256, 769, 1840, 547, 4180, 6617, 1369, 7507, 3294, 267, 646, 729, 25461, 609, 9750, 922, 10665, 676, 4108, 9518, 3949, 543, 19597, 908, 922, 1379, 2066, 2342, 543, 5607, 19724, 563, 3080, 3815, 602, 8329, 3648, 547, 31217, 685, 1764, 593, 2486, 729, 1010, 3466, 23293, 2470, 269, 1261, 8045, 1896, 15024, 6322, 693, 2413, 1944, 1585, 3344, 540, 4936, 1272, 543, 2528, 998, 1876, 14708, 267, 5989, 20671, 7341, 610, 9283, 899, 22058, 908, 5656, 585, 1148, 2982, 1141, 6932, 5159, 10268, 741, 1568, 1247, 1565, 1898, 1983, 693, 1857, 13258, 2336, 2691, 4906, 729, 4535, 1282, 31217, 779, 12081, 267, 621, 568, 5156, 602, 1082, 6014, 1004, 941, 24584, 606, 3618, 569, 4622, 547, 5391, 4733, 873, 689, 4936, 4341, 269, 1717, 267, 5103, 11319, 1394, 1996, 25384, 2853, 1991, 547, 14291, 896, 1200, 9393, 19693, 3780, 594, 685, 11689, 2358, 1198, 2826, 2335, 807, 1500, 8567, 1256, 811, 13267, 950, 6368, 5189, 1916, 20606, 639, 11074, 2110, 540, 30418, 5128, 10143, 4849, 1310, 2669, 268, 865, 1705, 711, 2015, 5128, 968, 577, 4923, 892, 538, 3833, 519, 1482, 1259, 10271, 9763, 606, 31212, 1268, 1137, 1519, 2441, 19985, 4352, 646, 10150, 15038, 3842, 19101, 25976, 676, 21597, 609, 25840, 19332, 543, 519, 966, 4115, 28155, 538, 5084, 476, 280, 7152, 1010, 1522, 865, 1379, 2685, 602, 2663, 2506, 30752, 5433, 789, 11338, 2877, 547, 1118, 6811, 713, 10143, 4567, 6273, 4984, 2147, 1079, 27453, 3262, 936, 11335, 2823, 4872, 2221, 563, 20606, 639, 568, 513, 1915, 538, 1686, 9976, 585, 1082, 1919, 267, 1519, 1010, 5075, 540, 513, 2178, 4936, 7276, 269, 1717, 267, 621, 779, 1898, 547, 4063, 602, 646, 729, 711, 1863, 540, 15784, 281, 972, 941, 25197, 725, 540, 28112, 15967, 1282, 930, 2694, 540, 1010, 12081, 338, 1813, 547, 2799, 3844, 1436, 1472, 1612, 3547, 610, 3006, 18731, 5126, 1949, 607, 4749, 4523, 1141, 3401, 3668, 23388, 6127, 3177, 11974, 7146, 28394, 1734, 630, 322, 761, 2294, 1279, 1354, 7557, 807, 767, 2993, 779, 13584, 30155, 1103, 3932, 267, 1620, 519, 1909, 540, 31217, 19332, 543, 900, 30752, 899, 1864, 1282, 4906, 685, 4332, 4422, 3564, 1175, 2797, 5718, 269, 1452, 5515, 685, 10427, 3909, 4978, 13615, 1927, 13919, 543, 31544, 4145, 282, 741, 4050, 31008, 585, 15024, 2413, 1242, 1884, 1172, 730, 5238, 14304, 5638, 268, 15209, 4390, 1247, 2679, 5989, 3785, 1869, 7555, 2221, 256, 5015, 267, 741, 5717, 827, 3056, 971, 606, 27763, 10504, 6923, 19430, 10124, 538, 4610, 8151, 689, 25852, 547, 4702, 269, 2755, 454, 3721, 8386, 28157, 6651, 547, 4804, 6168, 519, 14890, 540, 7507, 1879, 4906, 12984, 18004, 454, 763, 1686, 540, 519, 14890, 540, 7507, 693, 519, 942, 950, 4906, 729, 4535, 568, 4241, 543, 1950, 269, 4197, 713, 1974, 3340, 513, 2620, 4685, 883, 4936, 2486, 267, 6214, 267, 4984, 267, 543, 2528, 269, 1403, 596, 2461, 5461, 538, 1565, 827, 519, 5736, 602, 8032, 8567, 779, 2038, 2395, 267, 1934, 779, 513, 1900, 8386, 9912, 3391, 547, 1205, 3323, 563, 3721, 476, 272, 281, 31385, 31217, 19332, 454, 20606, 639, 19332, 729, 519, 1101, 17169, 540, 7507, 945, 3357, 883, 1379, 538, 476, 2767, 7460, 543, 12199, 585, 936, 17288, 1296, 2394, 1010, 2669, 538, 5084, 476, 1691, 269, 1261, 729, 4922, 2938, 607, 513, 1390, 32063, 543, 26080, 6963, 518, 585, 1010, 5075, 547, 11689, 1047, 4936, 6214, 1310, 5756, 540, 3540, 1193, 1057, 269, 1717, 267, 646, 13684, 1065, 4809, 4031, 593, 2021, 547, 1852, 741, 7180, 1247, 8195, 5009, 7365, 607, 2556, 547, 5818, 1126, 321, 8960, 3928, 269, 1306, 971, 8906, 1419, 1711, 15784, 1472, 1864, 1373, 2111, 547, 3180, 4008, 7862, 16431, 649, 1294, 1256, 2221, 563, 1607, 957, 729, 11911, 609, 19620, 3504, 3909, 2853, 10704, 593, 1920, 2418, 799, 1131, 979, 1688, 2987, 11804, 609, 1022, 4998, 2065, 2048, 22146, 21644, 685, 789, 1522, 723, 2322, 4464, 4586, 3891, 20827, 1082, 1713, 2679, 3785, 610, 3964, 12205, 899, 623, 1314, 4936, 320, 630, 31718, 4708, 1070, 799, 2813, 6617, 2429, 2342, 1282, 1034, 540, 922, 12081, 338, 1813, 7361, 1317, 621, 21490, 519, 1259, 2509, 606, 7269, 626, 6497, 1275, 1141, 14564, 4718, 2933, 8744, 1876, 1299, 1931, 2066, 7239, 3564, 7977, 563, 1103, 3829, 1382, 883, 31217, 786, 1397, 835, 875, 646, 1134, 22412, 730, 1312, 18523, 4656, 2864, 982, 3850, 9003, 18211, 7095, 31794, 1379, 3079, 998, 1857, 4159, 3889, 1519, 15473, 543, 7843, 1255, 6131, 711, 1175, 10493, 1014, 10971, 855, 849, 1455, 619, 1932, 269, 4168, 27685, 1235, 5156, 1004, 782, 3838, 3160, 1871, 689, 1367, 4222, 4061, 741, 1761, 2078, 4824, 676, 18497, 7589, 1107, 634, 1930, 5872, 609, 4948, 2043, 4847, 891, 15156, 606, 4316, 585, 4687, 1946, 2648, 829, 341, 12184, 25678, 2390, 19169, 21349, 2696, 4805, 14828, 18163, 1272, 31083, 611, 12976, 29063, 6411, 2443, 28717, 1746, 835, 2146, 2861, 3597, 5127, 13702, 3889, 563, 3721, 476, 273, 281, 31692, 880, 9737, 623, 12298, 1143, 543, 8567, 454, 4263, 519, 942, 540, 4906, 779, 4332, 267, 3504, 4936, 2486, 1185, 1279, 13736, 1918, 2065, 10764, 543, 4874, 1492, 1143, 269, 8567, 729, 2938, 607, 513, 1007, 1523, 602, 12219, 547, 16765, 1248, 3964, 4936, 4978, 267, 1818, 621, 606, 2653, 3077, 585, 20655, 634, 20185, 602, 13794, 540, 2441, 4951, 1582, 1606, 659, 337, 12715, 4448, 1946, 789, 5156, 538, 17706, 12371, 609, 741, 30256, 2864, 982, 16550, 873, 883, 19169, 1739, 513, 4984, 899, 865, 1082, 824, 4980, 338, 11342, 693, 713, 942, 563, 305, 30689, 4371, 5784, 4478, 1514, 17478, 282, 623, 12298, 626, 21071, 941, 711, 4847, 2407, 15114, 2924, 610, 1256, 11401, 1369, 4884, 7740, 952, 1336, 9117, 6309, 3373, 2390, 10751, 1152, 2016, 2669, 4845, 10355, 5950, 538, 27171, 547, 1018, 10271, 13736, 268, 19807, 1373, 835, 3844, 1871, 740, 22363, 4724, 7303, 21440, 689, 31328, 2417, 2870, 1507, 22836, 1141, 1689, 1223, 16036, 1996, 782, 12918, 909, 18988, 676, 11146, 1299, 16593, 21349, 1866, 6368, 563, 3721, 476, 274, 281, 21302, 570, 9200, 3780, 685, 1234, 793, 454, 307, 9200, 3780, 556, 11220, 689, 5084, 476, 1691, 2394, 1010, 27757, 538, 5084, 476, 4391, 1310, 31217, 19332, 5747, 269, 3571, 26022, 4718, 6404, 6547, 1317, 646, 729, 9444, 607, 1347, 29487, 6862, 607, 6131, 547, 6963, 3292, 3379, 609, 14890, 454, 21761, 18542, 5999, 6168, 519, 14890, 540, 7507, 4438, 4906, 685, 17510, 454, 763, 1974, 4478, 519, 4332, 540, 4906, 2441, 729, 513, 1713, 942, 538, 1158, 1686, 267, 609, 1896, 2621, 543, 14789, 5935, 519, 1576, 540, 1480, 10340, 269, 2290, 971, 3532, 7209, 1282, 602, 5736, 729, 14890, 31217, 267, 945, 12199, 936, 7507, 689, 476, 2767, 7460, 547, 476, 1691, 5084, 563, 10387, 10132, 31217, 568, 1419, 5018, 538, 519, 19978, 2272, 540, 4906, 685, 4332, 267, 3226, 607, 646, 9783, 513, 31885, 585, 782, 4961, 540, 7507, 547, 581, 10805, 538, 741, 18577, 554, 2210, 12495, 269, 901, 3366, 9478, 543, 6307, 547, 2951, 689, 9294, 732, 628, 547, 21861, 548, 1335, 267, 16180, 519, 28897, 602, 4906, 1131, 581, 4535, 972, 563, 2080, 616, 930, 4749, 4280, 2055, 827, 14890, 31217, 543, 1010, 1909, 1282, 4906, 685, 4332, 912, 272, 264, 5808, 729, 14890, 31217, 888, 20606, 639, 630, 9799, 717, 2967, 639, 4239, 822, 3780, 774, 584, 19434, 264, 729, 519, 1101, 4936, 17169, 267, 12021, 585, 19597, 908, 1379, 543, 9591, 6617, 1310, 1296, 540, 2797, 24187, 269, 1261, 6963, 539, 519, 4108, 267, 4824, 5989, 267, 9450, 11182, 267, 9415, 6575, 543, 3332, 267, 543, 15469, 1857, 26069, 998, 9086, 269, 3571, 12081, 568, 2808, 513, 11344, 2085, 538, 4936, 1686, 563, 273, 264, 4208, 1705, 646, 3390, 513, 14829, 610, 14261, 31885, 888, 305, 727, 2877, 606, 4977, 1293, 540, 922, 4961, 585, 21259, 5301, 543, 4509, 1931, 1369, 922, 5318, 10504, 269, 589, 14829, 849, 5280, 2697, 14718, 2367, 585, 931, 5524, 883, 4108, 3028, 1107, 2629, 585, 21108, 1996, 4914, 28164, 610, 1139, 7675, 15148, 1206, 676, 29832, 745, 660, 1194, 5396, 269, 769, 713, 2013, 11836, 1927, 7225, 20660, 609, 16850, 2838, 811, 1808, 1239, 593, 1004, 3350, 982, 621, 1131, 952, 16850, 1185, 1044, 5094, 2197, 454, 274, 264, 9894, 6307, 2285, 4332, 693, 606, 7961, 607, 4122, 17814, 888, 763, 6426, 1281, 711, 2446, 968, 4883, 2223, 855, 2864, 2829, 602, 6307, 5795, 4332, 538, 513, 7123, 11721, 29623, 512, 893, 1317, 1100, 968, 3336, 892, 630, 330, 7614, 6373, 264, 1223, 581, 1336, 693, 1200, 1920, 779, 16823, 20453, 9638, 321, 286, 1916, 275, 264, 1215, 1705, 14890, 31217, 4431, 950, 646, 4862, 827, 3751, 4173, 617, 779, 1544, 547, 6146, 12256, 888, 21914, 4173, 617, 21787, 9561, 1010, 17599, 1813, 547, 32422, 827, 519, 4332, 540, 513, 968, 6362, 540, 519, 7642, 1848, 1261, 10288, 782, 5256, 12256, 538, 21861, 548, 1335, 896, 2085, 1079, 547, 581, 7166, 269, 31217, 267, 945, 729, 3222, 540, 4173, 617, 779, 28877, 543, 1612, 8457, 807, 267, 28020, 6376, 539, 267, 968, 296, 8910, 2864, 581, 4173, 617, 779, 6477, 982, 1010, 5067, 2223, 630, 26238, 14918, 941, 2808, 11515, 534, 1040, 901, 5267, 602, 5103, 1373, 606, 17169, 5128, 1634, 585, 678, 3578, 1652, 12485, 646, 1185, 930, 2543, 585, 1480, 1272, 563, 276, 264, 9894, 14890, 31217, 2479, 2743, 610, 7237, 4906, 888, 2467, 568, 1100, 3140, 2963, 602, 31217, 1558, 4906, 1282, 3571, 10715, 607, 2441, 1705, 711, 2408 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2666, 14132, 267, 3478, 6151, 5779, 547, 519, 2922, 5934, 4835, 2837, 666, 1118, 610, 2736, 707, 7594, 269, 2422, 713, 1863, 5779, 2837, 5986, 5750, 543, 3391, 547, 2638, 519, 4110, 540, 1810, 8864, 585, 1022, 2759, 540, 5779, 543, 2760, 2034, 7058, 4835, 5210, 1586, 2336, 30022, 32522, 910, 7305, 540, 12937, 454, 10666, 713, 5779, 2837, 3391, 454, 1805, 641, 2034, 27378, 707, 11477, 1983, 543, 21592, 707, 5986, 23258, 525, 609, 713, 3102, 3391, 547, 5779, 5210, 269, 769, 713, 2241, 5850, 596, 786, 3605, 519, 3501, 1810, 8864, 585, 1169, 2759, 540, 5779, 1107, 689, 521, 11170, 1782, 2848, 6545, 543, 13035, 887, 6814, 547, 30362, 9269, 610, 30861, 2666, 16469, 543, 1256, 2451, 13569, 1107, 4180, 13035, 267, 8949, 569, 29316, 267, 9985, 11273, 2164, 1169, 2582, 942, 2336, 3963, 946, 513, 5779, 2837, 5986, 5750, 888, 5591, 2339, 519, 1505, 540, 5986, 610, 519, 11600, 596, 616, 1818, 267, 835, 3364, 9338, 310, 17751, 306, 6585, 3020, 281, 3478, 707, 5779, 547, 519, 1697, 2837, 568, 2629, 563, 21093, 519, 4835, 2837, 2953, 568, 4105, 585, 1079, 4128, 912, 268, 5253, 8881, 269, 8555, 704, 569, 11273, 16469, 666, 2014, 1426, 13871, 4576, 563, 268, 5253, 17949, 1464, 269, 1703, 779, 513, 7372, 2972, 1464, 3017, 1063, 513, 10416, 3613, 650, 2173, 5622, 532, 2759, 540, 2848, 752, 630, 3863, 1070, 513, 30861, 4062, 540, 2848, 752, 630, 4364, 1756, 4686, 1070, 543, 513, 9157, 2848, 752, 630, 6202, 2944, 1040, 18833, 5210, 540, 1810, 8864, 786, 948, 2327, 596, 616, 5986, 16469, 7157, 563, 2467, 616, 1614, 2596, 3268, 547, 4180, 707, 16469, 267, 20230, 267, 16738, 267, 543, 16872, 616, 11273, 547, 519, 3501, 4110, 540, 1810, 8864, 912, 268, 3689, 267, 596, 1590, 917, 519, 2922, 543, 2953, 5232, 540, 1810, 8864, 585, 1114, 16469, 563, 268, 5822, 267, 596, 991, 547, 917, 875, 547, 946, 513, 5779, 26282, 16785, 5265, 563, 268, 1656, 2063, 569, 267, 596, 3580, 991, 547, 1577, 519, 5779, 1964, 1354, 14253, 532, 543, 7674, 563, 6524, 649, 1205, 883, 2837, 4808, 543, 519, 5779, 2837, 5750, 267, 596, 991, 547, 1174, 519, 2495, 540, 968, 18484, 8864, 6100, 634, 2165, 1810, 8864, 5673, 2390, 2436, 519, 5986, 1505, 3096, 3819, 3002, 610, 5848, 3002, 563, 763, 2474, 5848, 3002, 5986, 543, 3819, 3002, 5986, 3277, 547, 519, 1259, 538, 799, 3002, 568, 11843, 689, 519, 2707, 547, 519, 1426, 563, 27770, 626, 3002, 5986, 2409, 1331, 31652, 532, 267, 2848, 5446, 267, 2909, 2358, 267, 543, 1022, 1505, 1141, 519, 1426, 1587, 568, 11303, 676, 7509, 269, 1452, 2409, 616, 1034, 5078, 585, 1279, 267, 3500, 5986, 563, 291, 787, 3002, 5986, 2409, 1331, 887, 8463, 267, 1989, 3739, 267, 5982, 630, 6193, 992, 1511, 1070, 543, 4376, 1505, 1141, 519, 1426, 1587, 568, 1641, 547, 3819, 2011, 269, 16959, 3002, 5986, 568, 1034, 5078, 585, 2110, 267, 2656, 5986, 563, 268, 16959, 14333, 281, 29133, 568, 968, 323, 821, 892, 950, 519, 5946, 3914, 513, 5551, 4110, 540, 30243, 1637, 607, 8612, 676, 4835, 2837, 563, 268, 7720, 626, 14333, 281, 29133, 568, 968, 323, 821, 892, 950, 519, 24561, 8031, 616, 7745, 1524, 2614, 585, 519, 5779, 547, 581, 5493, 23534, 269, 15380, 267, 5779, 11273, 1210, 5848, 3002, 568, 1134, 2944, 267, 4352, 972, 616, 513, 1906, 17756, 563, 21995, 3652, 585, 1426, 3106, 543, 5779, 1661, 1186, 454, 15371, 596, 616, 513, 19444, 538, 519, 10051, 610, 513, 1753, 27697, 27423, 267, 1210, 513, 5779, 26282, 568, 2629, 547, 1426, 3106, 269, 594, 1611, 267, 952, 596, 1810, 1406, 917, 875, 547, 946, 519, 26282, 16785, 7157, 267, 513, 5986, 5779, 2837, 5750, 568, 7168, 24631, 563, 4407, 972, 616, 513, 1906, 2081, 547, 2995, 952, 1426, 568, 2944, 5986, 267, 519, 1034, 4977, 1259, 547, 1449, 519, 9703, 1810, 8864, 540, 16469, 568, 609, 513, 26282, 269, 1703, 616, 1079, 8677, 540, 5687, 18852, 912, 268, 9208, 5687, 18852, 616, 17332, 883, 519, 1426, 1354, 887, 8463, 543, 2451, 538, 519, 887, 770, 1247, 5986, 454, 268, 2382, 656, 22345, 5687, 18852, 616, 17332, 883, 1426, 693, 1022, 942, 267, 1224, 607, 4166, 607, 519, 13549, 13515, 3001, 267, 543, 6569, 689, 519, 1426, 563, 32381, 540, 519, 26282, 596, 946, 538, 519, 10051, 267, 596, 3580, 1616, 547, 1118, 2386, 621, 568, 5265, 19345, 543, 24846, 1242, 1354, 1210, 563, 1692, 547, 946, 513, 26282, 454, 6524, 596, 979, 533, 3183, 513, 26282, 883, 1585, 3536, 267, 1577, 779, 2689, 930, 2489, 3652, 585, 5265, 1210, 513, 26282, 547, 10917, 1426, 563, 268, 11162, 26282, 281, 1677, 2057, 3444, 12526, 543, 1426, 25645, 10108, 267, 707, 26282, 1590, 581, 5265, 19345, 609, 12853, 543, 1216, 1354, 630, 663, 1310, 14386, 1210, 563, 268, 26457, 10309, 4087, 281, 589, 2489, 4341, 950, 1210, 707, 26282, 568, 547, 7696, 621, 883, 519, 4099, 540, 519, 5394, 652, 851, 540, 519, 5779, 269, 1684, 711, 1577, 519, 26282, 5905, 513, 5642, 267, 3170, 267, 610, 979, 998, 519, 5779, 607, 713, 786, 2014, 25619, 13220, 563, 268, 2836, 2320, 622, 26282, 5781, 281, 1280, 6099, 2164, 267, 596, 3580, 991, 547, 2638, 519, 6111, 540, 707, 26282, 593, 513, 2834, 4493, 269, 1677, 2638, 519, 8856, 540, 707, 26282, 267, 6445, 513, 1804, 4837, 782, 519, 1259, 909, 609, 4672, 1216, 269, 3973, 267, 21477, 613, 707, 26282, 543, 1224, 519, 4159, 269, 589, 5265, 26215, 730, 26282, 786, 27861, 476, 3953, 5232, 563, 268, 19940, 5017, 281, 952, 887, 8463, 513, 2898, 21429, 610, 9269, 267, 1118, 2386, 596, 2638, 519, 4835, 10917, 519, 6177, 676, 29780, 519, 26282, 883, 519, 5394, 652, 851, 540, 519, 25427, 6730, 6089, 563, 268, 853, 4428, 539, 16469, 281, 1403, 596, 2461, 5986, 513, 5779, 602, 568, 28077, 267, 899, 513, 21429, 678, 9567, 1228, 267, 2638, 519, 2837, 538, 519, 4099, 540, 519, 8631, 532, 607, 1134, 607, 519, 4099, 540, 519, 5779, 563, 9288, 520, 10917, 4808, 454, 9288, 520, 2837, 4808, 616, 519, 5227, 4835, 5210, 950, 5986, 16469, 269, 1809, 1934, 779, 1141, 1919, 1205, 4277, 281, 972, 616, 8795, 2837, 4808, 585, 5986, 16469, 281, 519, 772, 2529, 269, 4972, 540, 11982, 4808, 630, 4785, 6395, 264, 543, 9053, 13962, 4808, 563, 2252, 596, 1413, 693, 519, 22340, 5934, 4835, 2837, 4808, 267, 596, 3580, 1294, 789, 4363, 5986, 3536, 547, 513, 1454, 2362, 2837, 982, 513, 4258, 325, 1131, 269, 634, 22340, 15565, 5986, 782, 14132, 267, 20230, 267, 543, 23758, 547, 513, 2837, 540, 693, 2547, 476, 13970, 1673, 1122, 4181, 18278, 1107, 713, 2837, 568, 883, 519, 5420, 547, 5420, 2914, 749, 2039, 269, 1656, 267, 594, 1810, 1406, 917, 827, 596, 267, 855, 594, 1931, 1250, 2848, 752, 5420, 268, 571, 516, 630, 9873, 1673, 1122, 4181, 1916, 763, 22340, 15565, 2362, 5210, 547, 1404, 621, 2922, 543, 2327, 1426, 3106, 2066, 519, 4604, 269, 4256, 5779, 2837, 3391, 3515, 616, 2966, 865, 602, 3025, 1107, 689, 519, 3276, 3455, 1166, 23124, 693, 5062, 3887, 11546, 324, 779, 547, 519, 30497, 1753, 3434, 1107, 666, 1174, 1426, 3106, 563, 1103, 4156, 5210, 585, 16469, 454, 19350, 596, 3580, 1265, 519, 22340, 4808, 543, 6093, 13962, 5210, 585, 5986, 1585, 3536, 269, 7490, 4063, 602, 782, 5210, 7396, 616, 1354, 16889, 519, 5779, 563, 9288, 520, 2837, 585, 16738, 630, 577, 1157, 523, 267, 21868, 267, 543, 21429, 994, 15371, 5986, 9269, 12209, 267, 4158, 5779, 25427, 338, 267, 3043, 5779, 9269, 28244, 267, 610, 513, 2898, 21429, 267, 2630, 616, 519, 2922, 5210, 5227, 950, 5986, 16738, 912, 268, 31777, 656, 281, 476, 8182, 1673, 1122, 4181, 630, 29592, 16889, 994, 268, 22340, 281, 476, 13679, 1673, 1122, 4181, 630, 29592, 16889, 994, 290, 10541, 5779, 10917, 585, 14132, 267, 23758, 267, 543, 1654, 531, 454, 5804, 10775, 4064, 543, 10775, 887, 6814, 547, 1654, 531, 2759, 7410, 543, 23758, 669, 3591, 267, 2630, 616, 519, 5934, 2922, 4835, 5210, 585, 5779, 912, 268, 31777, 656, 630, 29592, 16889, 994, 268, 27824, 281, 476, 6344, 268, 10219, 5232, 454, 268, 23839, 7304, 732, 281, 476, 9873, 268, 13670, 5232, 454, 268, 23839, 281, 476, 9610, 268, 13970, 5232, 454, 268, 23839, 8862, 749, 281, 476, 5611, 268, 14028, 5232, 454, 268, 4270, 1673, 821, 281, 476, 8182, 268, 13679, 5232, 454, 268, 22340, 281, 476, 13970, 1673, 1122, 4181, 630, 29592, 16889, 994, 10673, 8864, 2837, 585, 20230, 454, 32381, 952, 596, 2461, 5986, 20230, 669, 3591, 267, 20230, 13035, 5979, 1231, 267, 610, 513, 9702, 8423, 267, 2630, 596, 3580, 1265, 519, 5227, 4835, 5210, 585, 782, 2010, 540, 20230, 912, 268, 31777, 656, 281, 1063, 476, 15946, 268, 9610, 5232, 630, 29592, 16889, 994, 268, 22340, 281, 476, 13970, 1673, 1122, 4181, 630, 29592, 16889, 994, 290, 10541, 2837, 585, 2666, 16469, 543, 30725, 1137, 630, 7921, 619, 267, 5779, 5979, 2378, 267, 543, 811, 994, 32381, 540, 952, 596, 2461, 5986, 9269, 5779, 27750, 267, 14132, 5779, 27750, 267, 610, 707, 1989, 15967, 779, 5779, 5979, 2378, 267, 2630, 616, 519, 5227, 4835, 5210, 585, 2666, 5779, 563, 295, 8582, 14110, 2207, 267, 5225, 4063, 267, 14060, 3335, 20836, 2898, 11912, 630, 3697, 2848, 6545, 264, 883, 2666, 5779, 1107, 538, 2777, 269, 1403, 596, 616, 849, 8860, 16469, 693, 1753, 267, 596, 666, 1246, 519, 13962, 4808, 543, 10372, 269, 1809, 267, 952, 596, 6718, 707, 2666, 16469, 693, 519, 4558, 267, 596, 3580, 991, 547, 1246, 519, 22340, 16252, 538, 519, 5779, 2837, 3391, 563, 268, 31777, 656, 630, 29592, 16889, 994, 268, 27824, 281, 476, 12893, 1673, 1122, 4181, 454, 268, 23839, 7304, 732, 281, 476, 10219, 268, 9873, 1673, 1122, 4181, 454, 268, 23839, 281, 476, 9610, 1673, 1122, 4181, 454, 268, 23839, 8862, 749, 281, 476, 5611, 1673, 1122, 4181, 454, 268, 4270, 1673, 821, 281, 476, 8182, 1673, 1122, 4181, 454, 268, 22340, 281, 476, 8182, 1673, 1122, 4181, 630, 29592, 16889, 994, 307, 17687, 585, 11273, 16872, 630, 8127, 543, 32729, 994, 2252, 596, 2461, 5986, 4376, 689, 519, 4262, 1107, 689, 13687, 543, 1085, 718, 3591, 547, 26029, 543, 10981, 9094, 1107, 596, 3580, 1616, 547, 693, 2547, 3434, 519, 16872, 2394, 519, 5779, 568, 32630, 538, 2681, 269, 12989, 616, 519, 5227, 2837, 4808, 950, 5986, 3165, 543, 32729, 563, 268, 31777, 656, 281, 2630, 476, 9610, 1673, 1122, 4181, 267, 23295, 6251, 547, 519, 476, 10219, 24266, 1665, 563, 268, 22340, 281, 476, 13970, 1673, 1122, 4181, 454, 10673, 8864, 10917, 585, 24667, 908, 2451, 13569, 267, 22101, 518, 3421, 267, 543, 4212, 8286, 454, 296, 337, 2958, 14177, 540, 952, 596, 2461, 1818, 513, 22101, 518, 1961, 630, 3697, 7064, 15130, 8631, 532, 610, 1490, 639, 17632, 1989, 11294, 1070, 4212, 8286, 630, 3697, 513, 535, 761, 339, 1092, 267, 844, 7865, 267, 543, 4212, 31324, 267, 24667, 908, 31629, 9269, 6089, 267, 610, 8022, 909, 513, 5423, 1426, 6221, 267, 596, 3580, 1616, 547, 1246, 519, 5227, 8022, 5528, 543, 519, 5934, 5210, 689, 519, 5779, 3434, 10917, 5750, 2630, 563, 268, 31777, 1218, 281, 476, 8182, 1673, 1122, 4181, 454, 268, 22340, 281, 476, 8182, 1673, 1122, 4181, 454, 290, 817, 518, 3421, 543, 2451, 13569, 454, 268, 22340, 281, 476, 13679, 1673, 1122, 4181, 454, 305, 20535, 5779, 1310, 5986, 454, 5475, 596, 4076, 1031, 519, 5750, 540, 5779, 5210, 547, 3434, 707, 2759, 540, 5779, 267, 596, 3580, 991, 547, 1964, 621, 269, 10163, 532, 16469, 1310, 5986, 568, 1175, 607, 2629, 513, 1900, 607, 1697, 5986, 269, 1703, 616, 1079, 5301, 547, 16889, 3536, 1310, 5986, 912, 268, 4414, 626, 9084, 540, 23238, 281, 10163, 532, 5779, 2636, 942, 585, 519, 5779, 547, 6001, 543, 519, 4835, 23238, 547, 23799, 25572, 2933, 14961, 2429, 563, 268, 2961, 787, 936, 281, 2961, 787, 936, 5986, 4016, 547, 519, 5986, 602, 4386, 950, 596, 4894, 5779, 689, 519, 3002, 2707, 269, 15380, 267, 4163, 936, 5986, 2164, 538, 4473, 540, 476, 276, 1673, 1122, 4181, 2022, 2275, 8504, 563, 27916, 2053, 4268, 689, 8670, 547, 8670, 543, 11600, 547, 11600, 269, 1717, 267, 513, 2489, 13962, 28621, 573, 5202, 585, 16889, 5779, 568, 3335, 693, 2547, 476, 276, 268, 1015, 3764, 267, 610, 3476, 585, 3677, 887, 6814, 899, 513, 10775, 887, 770, 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 ]

[ 513, 2780, 5106, 267, 7640, 525, 922, 5347, 543, 3608, 10342, 547, 891, 2553, 269, 634, 5354, 540, 891, 16097, 666, 581, 29101, 3989, 607, 26227, 267, 3246, 513, 8465, 1935, 3810, 23163, 538, 519, 1699, 3059, 5736, 563, 4322, 5752, 1646, 2553, 616, 711, 1175, 5935, 3301, 1646, 267, 855, 849, 4742, 1898, 1983, 2066, 3309, 4610, 269, 1677, 7561, 1982, 568, 547, 581, 2111, 547, 1685, 1808, 26398, 267, 1419, 998, 519, 5137, 540, 4291, 17014, 2780, 3292, 269, 4935, 267, 4758, 804, 719, 547, 519, 3948, 602, 13215, 891, 2553, 666, 3927, 28196, 710, 513, 3318, 781, 4876, 18330, 563, 289, 4361, 11137, 540, 14691, 4886, 9828, 454, 347, 13070, 850, 4886, 1475, 15447, 333, 585, 922, 8112, 267, 2519, 593, 6024, 9283, 538, 1507, 1213, 906, 8198, 347, 12850, 6420, 1475, 293, 822, 832, 5276, 18615, 12191, 267, 1419, 9763, 607, 14461, 1813, 547, 922, 796, 4818, 668, 2358, 2497, 8198, 347, 3682, 339, 19685, 1475, 28606, 2740, 8560, 676, 3850, 585, 519, 5137, 540, 3732, 3301, 3631, 267, 3976, 7175, 1761, 11941, 1354, 519, 3803, 1587, 8198, 347, 296, 614, 894, 543, 9214, 11365, 4886, 1475, 2005, 3322, 14578, 3384, 4130, 13980, 540, 519, 3301, 267, 4180, 15418, 693, 1142, 1900, 8198, 1103, 519, 1699, 3059, 2085, 267, 5752, 1646, 2553, 616, 9687, 267, 609, 3397, 850, 1646, 3056, 519, 3640, 269, 19612, 585, 922, 8112, 267, 713, 4480, 6212, 593, 6024, 6454, 267, 609, 2242, 8045, 538, 1507, 267, 19242, 1213, 906, 269, 898, 568, 23163, 585, 519, 13916, 621, 3413, 3581, 9367, 267, 3850, 585, 519, 16190, 22098, 540, 1022, 2242, 610, 1007, 4170, 563, 12850, 6420, 267, 1776, 835, 540, 519, 5752, 16097, 267, 3792, 1206, 513, 811, 5276, 267, 18615, 1374, 269, 3962, 5123, 568, 6192, 4628, 1354, 3001, 5196, 519, 1985, 267, 5356, 513, 11295, 543, 1931, 569, 1184, 269, 1717, 267, 922, 6551, 7190, 666, 10460, 2591, 267, 12145, 922, 2702, 547, 3082, 547, 2242, 2899, 513, 3942, 814, 1044, 6192, 563, 3682, 339, 19685, 267, 607, 519, 2012, 5267, 267, 3322, 2870, 513, 18634, 1765, 513, 2596, 4528, 540, 519, 3301, 269, 634, 2832, 568, 547, 2203, 519, 3301, 3070, 267, 3850, 9367, 547, 6218, 922, 4398, 543, 1198, 2242, 607, 2556, 267, 1354, 3001, 547, 519, 2407, 1922, 1194, 3022, 1646, 1184, 269, 901, 1505, 568, 26916, 585, 922, 1942, 13716, 4369, 543, 5470, 17846, 538, 519, 3803, 1587, 563, 296, 614, 894, 543, 9214, 11365, 4886, 454, 296, 614, 894, 543, 9214, 11365, 1646, 25856, 1472, 2870, 519, 3301, 538, 1507, 267, 19242, 12415, 269, 3962, 10126, 568, 2919, 543, 24019, 1354, 3001, 593, 547, 519, 1985, 267, 4180, 602, 1022, 2152, 616, 9571, 543, 22621, 2038, 538, 519, 2504, 1184, 269, 898, 6971, 1981, 543, 4991, 14323, 3301, 883, 519, 3946, 540, 3755, 607, 3533, 607, 2009, 563, 25284, 2719, 1646, 2553, 723, 6038, 9927, 875, 649, 2170, 609, 3301, 267, 8744, 827, 2799, 4398, 543, 10727, 269, 1358, 1450, 9367, 547, 1711, 3301, 602, 10742, 519, 2479, 21608, 2115, 540, 3755, 267, 4611, 538, 2472, 602, 616, 11179, 5355, 543, 15268, 563, 1432, 616, 5752, 1646, 2553, 888, 25284, 2719, 1646, 2553, 3277, 547, 513, 1305, 540, 16097, 1031, 538, 519, 1184, 540, 2870, 267, 8888, 267, 11766, 532, 267, 543, 5885, 3301, 1949, 563, 3963, 616, 891, 2553, 1271, 538, 3301, 1646, 888, 25284, 2719, 1646, 2553, 2709, 2497, 543, 20928, 519, 1646, 1184, 269, 1358, 948, 538, 5883, 519, 1585, 10848, 2404, 609, 3301, 1646, 1247, 2810, 4398, 543, 7607, 563, 1432, 568, 3397, 850, 1646, 888, 13070, 850, 1646, 568, 513, 8465, 1935, 547, 3301, 1646, 602, 11363, 6024, 6454, 543, 13916, 269, 15448, 543, 9283, 616, 1500, 538, 1507, 267, 19242, 1213, 906, 563, 1432, 568, 594, 614, 894, 543, 9214, 11365, 1646, 888, 296, 614, 894, 543, 9214, 11365, 3322, 3384, 519, 3301, 538, 1507, 13980, 267, 1142, 540, 799, 568, 2919, 543, 24019, 1354, 23312, 547, 519, 1985, 269, 901, 6971, 1981, 543, 2636, 585, 2038, 7020, 543, 15494, 540, 2152, 563, 268, 14691, 4886, 9828, 3657, 3690, 14127, 519, 12229, 12752, 454, 268, 1548, 4024, 19732, 523, 693, 631, 1115, 6196, 7033, 619, 4303, 476, 1708, 274, 888, 268, 16684, 11137, 540, 14691, 4886, 9828, 454, 268, 3397, 850, 4886, 454, 268, 14691, 1646, 2553, 281, 1548, 616, 519, 14330, 304, 3681, 888, 268, 4826, 6420, 4886, 454, 268, 1548, 568, 519, 6428, 776, 540, 513, 13268, 3042, 2561, 4886, 21133, 693, 6452, 550, 675, 888, 268, 594, 614, 894, 543, 9214, 11365, 4886, 0, 763, 9502, 540, 606, 631, 19616, 454, 2304, 631, 19616, 267, 2110, 585, 7136, 1947, 11638, 16651, 6732, 267, 568, 513, 1826, 540, 2228, 3381, 3014, 602, 2636, 5215, 540, 5716, 547, 8195, 2170, 543, 1404, 538, 513, 5691, 1158, 269, 9521, 2757, 2582, 268, 16651, 610, 3818, 16651, 3756, 267, 27493, 11675, 2709, 513, 5318, 543, 10770, 3014, 1158, 602, 5170, 547, 2291, 1256, 950, 5716, 616, 711, 8362, 10283, 269, 901, 15138, 11080, 1995, 568, 1500, 2009, 998, 4950, 14479, 543, 4359, 7746, 5989, 563, 1432, 5036, 27493, 11675, 6306, 689, 824, 2228, 3756, 568, 519, 4336, 540, 519, 6345, 3490, 269, 1452, 3756, 1711, 513, 7372, 2228, 2146, 1141, 5716, 689, 1472, 519, 1158, 666, 1921, 267, 28111, 267, 14526, 267, 543, 5968, 538, 1483, 6066, 269, 634, 2228, 2470, 540, 27493, 11675, 16881, 519, 5250, 540, 1514, 2516, 267, 1368, 843, 338, 267, 543, 24816, 267, 7175, 5716, 547, 585, 613, 17052, 267, 4497, 538, 16542, 267, 543, 7832, 593, 12473, 9035, 1927, 563, 12613, 11675, 666, 1491, 1082, 1114, 3029, 267, 689, 14810, 2389, 1335, 539, 1909, 25178, 532, 3756, 547, 13777, 22618, 2230, 3408, 13502, 269, 1358, 1419, 6451, 2609, 540, 3408, 267, 8396, 267, 1915, 11144, 267, 543, 6345, 12454, 11615, 269, 634, 29863, 11707, 543, 6859, 666, 4268, 4922, 267, 855, 519, 4295, 9759, 540, 606, 631, 19616, 6013, 538, 922, 2702, 547, 1711, 513, 3838, 5691, 1604, 1141, 5716, 666, 2170, 543, 3337, 519, 3014, 1158, 563, 4322, 3756, 3335, 2154, 5716, 547, 1711, 513, 2189, 1915, 602, 4564, 873, 538, 519, 5691, 1158, 269, 901, 1285, 20345, 666, 581, 16419, 609, 1585, 3308, 2609, 267, 971, 607, 5920, 267, 3937, 267, 543, 5759, 269, 1306, 5716, 3356, 267, 789, 7118, 1995, 2798, 267, 2744, 1007, 5759, 267, 10536, 4686, 3688, 267, 543, 12260, 811, 4101, 1543, 563, 12613, 11675, 849, 1683, 513, 10770, 1158, 602, 7683, 27372, 998, 2834, 10311, 267, 20073, 687, 267, 543, 6345, 12454, 2621, 269, 634, 5691, 1158, 949, 4183, 6946, 561, 648, 267, 6422, 8916, 267, 543, 513, 2713, 5117, 20948, 676, 1875, 268, 16651, 3197, 630, 23259, 12336, 1040, 1452, 26128, 12336, 666, 581, 6417, 676, 519, 3014, 779, 5841, 4987, 610, 676, 824, 5716, 998, 6345, 268, 951, 639, 268, 16651, 4205, 563, 14454, 267, 27493, 11675, 2709, 513, 2189, 11100, 540, 15413, 1143, 267, 1514, 5872, 267, 543, 18756, 29863, 269, 1358, 1450, 5716, 547, 23365, 2933, 538, 5691, 10600, 1141, 789, 666, 7832, 593, 24123, 1391, 338, 267, 4497, 538, 13858, 12959, 267, 1628, 2950, 267, 543, 1995, 1279, 18835, 17052, 269, 634, 7683, 9687, 2470, 540, 27493, 11675, 5849, 602, 972, 568, 2141, 1945, 1007, 547, 3605, 267, 1818, 873, 606, 11972, 543, 2442, 9135, 540, 2228, 11080, 563, 763, 17959, 540, 27493, 11675, 454, 763, 5072, 540, 27493, 11675, 666, 581, 14360, 1394, 547, 519, 2038, 2395, 540, 2780, 543, 3381, 11080, 269, 2290, 540, 519, 9998, 1806, 540, 606, 631, 19616, 568, 519, 3014, 1572, 968, 300, 11070, 892, 630, 25648, 268, 27165, 14480, 613, 517, 1070, 2919, 538, 519, 3735, 476, 3192, 271, 338, 269, 631, 11070, 4847, 2789, 5716, 547, 4283, 513, 1257, 2861, 5691, 1158, 543, 2170, 609, 1142, 824, 269, 2755, 3908, 676, 2221, 779, 4441, 267, 631, 11070, 9788, 519, 5748, 585, 519, 15138, 543, 1514, 2470, 540, 2104, 27493, 11675, 563, 2005, 729, 711, 2394, 519, 476, 1960, 271, 338, 602, 27493, 11675, 5963, 3459, 547, 1491, 1055, 609, 519, 4367, 540, 21370, 17103, 543, 8441, 538, 13033, 2029, 269, 634, 3014, 602, 568, 1419, 20295, 609, 2442, 1944, 519, 9135, 568, 968, 19575, 9874, 6732, 2223, 5950, 538, 476, 1960, 278, 269, 8299, 9874, 6732, 4847, 5215, 540, 5716, 547, 2263, 513, 5318, 5691, 1158, 1927, 267, 4497, 538, 8396, 267, 4123, 267, 543, 1256, 1628, 741, 1378, 8075, 269, 901, 14262, 2140, 1305, 519, 3942, 585, 519, 7372, 1967, 602, 27493, 11675, 1131, 3035, 538, 519, 1296, 547, 2097, 563, 16729, 519, 1967, 540, 8299, 9874, 6732, 267, 824, 27493, 11675, 7153, 267, 1142, 609, 922, 1378, 2189, 29863, 11707, 543, 5468, 269, 968, 30706, 5226, 652, 2223, 5950, 538, 476, 1960, 280, 267, 5189, 513, 6422, 476, 274, 291, 1158, 543, 606, 6946, 561, 648, 602, 26970, 5716, 269, 898, 3533, 2968, 835, 540, 519, 1034, 2442, 27493, 11675, 540, 922, 942, 543, 21490, 519, 1259, 585, 1082, 2104, 10643, 563, 1103, 476, 1220, 275, 267, 2349, 11170, 731, 30007, 9250, 968, 13328, 540, 654, 2117, 2761, 2223, 799, 19117, 519, 631, 19616, 9135, 543, 3788, 835, 540, 519, 1034, 2442, 27493, 11675, 547, 713, 1554, 269, 2060, 922, 15138, 1158, 267, 8903, 1650, 1467, 267, 543, 3015, 29863, 267, 2622, 540, 654, 2117, 2761, 13631, 6634, 540, 5716, 543, 4547, 27493, 11675, 883, 519, 13416, 11080, 2528, 269, 898, 1305, 513, 1007, 3044, 585, 519, 1377, 540, 3178, 267, 1543, 267, 543, 1514, 5872, 602, 5716, 4397, 689, 606, 631, 19616, 563, 4407, 27493, 11675, 7620, 5059, 593, 14810, 5468, 267, 824, 11964, 3459, 547, 10836, 607, 519, 2344, 9450, 269, 968, 292, 12717, 6732, 2223, 5950, 538, 476, 1220, 274, 267, 3576, 5716, 547, 519, 17909, 540, 2230, 267, 3850, 873, 547, 12681, 5624, 4721, 267, 4497, 538, 26300, 15362, 13137, 267, 543, 7119, 538, 835, 540, 519, 1034, 1950, 6345, 12454, 11615, 538, 11080, 1686, 563, 7021, 519, 1296, 267, 27493, 11675, 723, 4797, 547, 11457, 543, 4129, 1518, 269, 3245, 2257, 5708, 543, 15705, 2389, 1335, 539, 3756, 547, 5691, 10600, 543, 5070, 7901, 2833, 267, 972, 568, 1631, 606, 631, 19616, 547, 9290, 3592, 1022, 6345, 779, 7375, 269, 634, 9135, 814, 849, 2938, 1713, 7760, 538, 12449, 267, 29863, 11707, 267, 543, 6345, 2170, 2032, 267, 3246, 811, 15138, 543, 6422, 2833, 563, 1103, 2487, 1296, 267, 519, 4473, 540, 1863, 3562, 25178, 3631, 543, 5985, 11080, 814, 2417, 9450, 519, 10333, 543, 3914, 540, 27493, 11675, 269, 24812, 666, 1631, 2972, 891, 3818, 16651, 2833, 593, 741, 16389, 543, 14342, 267, 20471, 543, 9170, 267, 8220, 609, 513, 2518, 6345, 3490, 538, 2081, 602, 941, 5892, 796, 19960, 514, 762, 563, 763, 8129, 540, 27493, 11675, 949, 581, 18803, 267, 855, 741, 1764, 593, 519, 11080, 2872, 543, 519, 2833, 789, 2709, 547, 5716, 616, 4986, 2110, 540, 9058, 269, 1306, 2029, 5170, 547, 4434, 267, 649, 666, 1152, 4952, 875, 27493, 11675, 786, 11457, 538, 519, 2104, 267, 5356, 1256, 811, 15138, 267, 1514, 267, 543, 3078, 11080, 2833, 563, 7659, 17972, 540, 27493, 11675, 454, 12613, 11675, 616, 1634, 585, 741, 2189, 543, 10058, 2934, 602, 1305, 873, 6306, 689, 824, 2010, 540, 3381, 3756, 269, 1452, 2934, 3565, 547, 519, 15138, 543, 1514, 2470, 540, 519, 9135, 267, 3246, 5716, 609, 513, 3638, 543, 6422, 11080, 1995, 269, 3371, 616, 930, 1883, 2934, 540, 27493, 11675, 912, 268, 7136, 633, 26761, 12476, 281, 2290, 540, 519, 10747, 4162, 540, 27493, 11675, 568, 519, 2702, 547, 1921, 609, 5215, 267, 610, 1256, 6634, 267, 540, 5716, 5001, 269, 901, 5318, 6345, 3490, 5932, 513, 2631, 540, 2146, 543, 2488, 3255, 585, 16542, 267, 6735, 267, 543, 1514, 5872, 563, 268, 6431, 11962, 10794, 2622, 281, 9521, 2582, 268, 16651, 3756, 602, 19268, 950, 596, 14827, 267, 27493, 11675, 2709, 513, 10770, 3014, 1158, 602, 5170, 547, 2291, 543, 11457, 1256, 950, 5716, 616, 22356, 269, 901, 1797, 602, 519, 3014, 1158, 568, 7683, 4657, 543, 3395, 267, 3246, 1007, 2591, 543, 1543, 585, 5716, 547, 2263, 563, 268, 10886, 4273, 1833, 281, 27493, 11675, 3335, 4183, 513, 11144, 1062, 1141, 5716, 666, 1377, 909, 741, 3197, 267, 10536, 1007, 1983, 543, 5759, 267, 543, 2744, 1569, 547, 811, 4101, 1543, 269, 901, 2631, 540, 2208, 543, 1646, 568, 513, 4295 ]

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

[ 581, 3144, 609, 26122, 543, 1085, 600, 15737, 269, 634, 7756, 9537, 2986, 14740, 589, 1111, 281, 14740, 634, 1111, 14740, 634, 1111, 1703, 616, 1082, 1114, 2010, 540, 3043, 27897, 6760, 713, 1554, 538, 2085, 267, 855, 1906, 3043, 27897, 10963, 616, 607, 14124, 607, 3961, 17403, 269, 14740, 17403, 849, 4523, 950, 596, 723, 31941, 687, 547, 11516, 16408, 7270, 269, 901, 543, 513, 21318, 540, 1585, 824, 2665, 2049, 1169, 824, 1554, 269, 769, 519, 476, 2641, 560, 2540, 6880, 13062, 830, 814, 1831, 835, 540, 519, 7887, 3029, 540, 6760, 538, 519, 1158, 269, 901, 3390, 568, 811, 10296, 982, 2479, 1631, 607, 649, 2932, 1034, 540, 938, 2238, 2228, 563, 15987, 972, 568, 2760, 513, 2386, 1922, 790, 1259, 547, 4625, 2061, 2228, 3961, 17403, 267, 972, 616, 9645, 2081, 585, 835, 547, 2061, 741, 3961, 689, 1373, 21687, 538, 6880, 1158, 269, 3397, 2908, 14437, 827, 875, 930, 8833, 2322, 811, 2604, 593, 1004, 547, 3479, 6760, 899, 519, 1249, 540, 1373, 14834, 267, 21616, 543, 9561, 741, 6009, 269, 1280, 513, 7911, 945, 568, 1472, 519, 2085, 540, 476, 1015, 268, 1724, 267, 519, 18537, 1131, 581, 827, 1863, 9304, 538, 513, 3381, 3014, 267, 1141, 23829, 585, 513, 3993, 267, 789, 1522, 14441, 513, 1085, 600, 585, 4816, 9660, 267, 3092, 269, 631, 30639, 3069, 6212, 593, 1946, 1004, 3479, 547, 1821, 5050, 2623, 538, 10963, 269, 3733, 2195, 2334, 20531, 17235, 269, 4635, 713, 1344, 267, 519, 1268, 945, 1569, 525, 713, 1344, 666, 3479, 12611, 543, 824, 10363, 2534, 269, 0, 314, 12709, 316, 1496, 303, 340, 26072, 1299, 18768, 316, 1496, 22013, 12978, 9828, 316, 1496, 13043, 3584, 316, 1496, 299, 3869, 316, 1496, 25219, 1988, 2639, 1607, 1982, 28352, 513, 24626, 585, 519, 1657, 11015, 563, 25889, 1299, 9828, 454, 2304, 834, 10907, 549, 10973, 257, 568, 513, 11015, 3926, 4171, 3070, 8761, 519, 2626, 547, 1776, 2243, 269, 901, 6445, 2987, 11015, 8761, 513, 476, 1724, 628, 5667, 29347, 1881, 1106, 540, 3560, 538, 519, 12457, 539, 2127, 950, 519, 11015, 568, 6192, 269, 594, 6415, 2386, 621, 666, 581, 12193, 609, 15513, 543, 1957, 543, 2901, 513, 1434, 2144, 6471, 610, 6266, 540, 10145, 11015, 17074, 269, 634, 2780, 666, 4194, 621, 519, 1482, 1259, 855, 1259, 5488, 269, 769, 1082, 1296, 540, 631, 839, 320, 7138, 1782, 267, 713, 519, 1101, 540, 713, 1826, 594, 11291, 865, 594, 10093, 1405, 20902, 519, 1982, 267, 855, 621, 4465, 1405, 581, 2352, 547, 798, 865, 952, 513, 2034, 1383, 2982, 909, 269, 1703, 568, 513, 1820, 7735, 3177, 538, 2013, 596, 1616, 547, 960, 593, 621, 519, 2025, 6752, 539, 1259, 563, 15239, 3491, 13559, 11302, 616, 10950, 547, 1224, 593, 267, 855, 949, 1616, 547, 7914, 547, 5377, 540, 713, 2985, 547, 4647, 519, 4291, 17014, 1982, 1631, 563, 763, 1966, 729, 24018, 676, 10962, 834, 11328, 7611, 14329, 21968, 5638, 585, 1142, 6292, 540, 1913, 799, 3444, 1142, 824, 269, 6478, 7158, 616, 22921, 670, 272, 998, 670, 277, 543, 966, 272, 998, 966, 277, 689, 2451, 547, 1318, 543, 1283, 547, 5377, 269, 1924, 670, 272, 263, 273, 1070, 309, 272, 263, 273, 264, 6920, 602, 8880, 2262, 670, 272, 543, 7299, 2262, 966, 272, 12969, 693, 519, 476, 273, 526, 4484, 540, 1142, 2262, 269, 634, 1982, 1140, 2851, 513, 5569, 1592, 540, 834, 290, 663, 28371, 257, 2262, 8424, 799, 1223, 6445, 519, 4170, 540, 519, 4341, 563, 288, 13138, 2544, 13440, 2594, 568, 3989, 799, 9397, 519, 1257, 540, 1142, 4341, 883, 1367, 4610, 543, 8591, 513, 15443, 573, 919, 5569, 1592, 547, 3180, 8424, 540, 1913, 799, 723, 12805, 5022, 538, 519, 9138, 10167, 7158, 269, 634, 9612, 289, 339, 333, 4945, 5650, 1101, 13976, 513, 16390, 5044, 540, 13138, 2544, 13434, 1759, 593, 519, 10268, 10167, 3652, 543, 13976, 519, 15443, 28371, 1592, 585, 1142, 4341, 269, 4495, 713, 16390, 5044, 568, 3710, 267, 649, 1287, 1289, 1599, 6744, 290, 663, 573, 919, 585, 1142, 4341, 547, 16571, 1947, 1184, 519, 11134, 2262, 8424, 269, 2667, 11220, 8266, 568, 513, 8745, 284, 19368, 1826, 540, 5569, 1592, 609, 834, 17504, 284, 10112, 11220, 4087, 257, 585, 782, 1913, 609, 513, 16315, 540, 799, 2262, 2990, 814, 1044, 8655, 602, 2262, 609, 513, 2027, 13525, 630, 1492, 4484, 834, 301, 8442, 568, 1305, 952, 519, 2262, 568, 2139, 269, 6744, 290, 663, 573, 919, 3157, 519, 15443, 573, 919, 1592, 3168, 585, 513, 6292, 540, 2139, 1913, 602, 621, 666, 3651, 269, 1403, 621, 9060, 513, 6292, 267, 621, 3651, 338, 873, 543, 7125, 3294, 609, 519, 1985, 4341, 1297, 269, 1403, 1100, 10457, 666, 581, 8655, 585, 519, 1699, 4341, 267, 519, 1599, 7024, 834, 16178, 257, 547, 519, 1289, 518, 630, 1492, 3105, 4341, 264, 799, 1287, 796, 12431, 793, 338, 922, 5767, 10467, 543, 13290, 519, 1985, 11134, 6292, 267, 3092, 269, 634, 1184, 5170, 2394, 782, 3652, 723, 1044, 13854, 543, 649, 723, 513, 3070, 610, 782, 3652, 723, 25356, 782, 540, 741, 10457, 538, 799, 2013, 1100, 3070, 6818, 269, 901, 568, 513, 5929, 834, 323, 3704, 23867, 3406, 609, 16571, 542, 257, 799, 1869, 4667, 899, 9059, 547, 803, 950, 621, 1568, 2336, 8448, 1982, 2934, 4502, 4304, 912, 296, 3773, 513, 4183, 547, 4990, 519, 16390, 5044, 1354, 6061, 538, 606, 3801, 547, 2569, 3406, 2619, 3259, 269, 19461, 1931, 568, 676, 21222, 7267, 2262, 1297, 855, 594, 3773, 3681, 547, 4990, 676, 2810, 15443, 573, 919, 2262, 1592, 3259, 630, 337, 12584, 1454, 5488, 264, 610, 676, 27312, 1297, 540, 28963, 585, 519, 8880, 2262, 630, 7116, 518, 2299, 5488, 1040, 634, 2856, 585, 519, 15443, 573, 919, 1592, 2450, 4990, 729, 602, 7864, 10457, 786, 1205, 519, 1697, 1913, 5116, 18334, 543, 621, 2408, 602, 621, 1281, 269, 1280, 519, 27312, 1297, 540, 28963, 519, 2856, 729, 547, 1205, 1913, 609, 1034, 28963, 5116, 1101, 267, 855, 972, 5526, 547, 581, 811, 547, 621, 269, 6787, 972, 616, 1732, 2081, 547, 840, 572, 937, 519, 3652, 1931, 585, 4398, 3788, 606, 1930, 2243, 269, 14409, 519, 3652, 609, 1913, 12969, 532, 519, 2063, 1913, 5116, 1522, 581, 811, 834, 16058, 6438, 257, 543, 581, 1256, 811, 3608, 563, 1103, 1022, 2680, 267, 621, 814, 1044, 513, 17598, 476, 1015, 2395, 540, 8193, 543, 1966, 6061, 563, 305, 7342, 270, 18698, 519, 5358, 454, 22296, 2248, 687, 585, 4329, 4112, 32590, 454, 314, 293, 3975, 3724, 316, 1496, 21158, 24393, 630, 11357, 18285, 270, 1613, 13580, 1496, 10666, 803, 2639, 15648, 9736, 476, 1220, 271, 268, 1001, 279, 267, 27722, 11023, 2421, 2353, 2924, 11603, 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 ]

[ 0, 32178, 22895, 528, 9652, 9411, 6214, 693, 2085, 476, 2537, 269, 1261, 8678, 18322, 693, 476, 1839, 543, 6039, 705, 569, 269, 769, 4873, 476, 8687, 273, 267, 3013, 10294, 2112, 593, 6628, 3056, 9652, 547, 15313, 13538, 269, 634, 13573, 3089, 1014, 3366, 513, 17740, 807, 1895, 1996, 6628, 779, 4095, 16167, 269, 9652, 2968, 513, 3084, 5869, 693, 519, 11135, 540, 519, 774, 1868, 1310, 1373, 20295, 609, 11318, 4095, 6205, 570, 1815, 636, 572, 327, 563, 13563, 20494, 341, 1734, 1996, 6628, 18584, 547, 519, 6115, 10029, 269, 634, 3703, 13108, 16091, 1977, 11288, 267, 4604, 539, 772, 2529, 269, 8043, 267, 543, 32043, 11474, 1977, 25501, 269, 1635, 476, 8687, 273, 267, 519, 23885, 10029, 1185, 2614, 543, 10294, 2112, 269, 9400, 22895, 528, 9652, 6039, 538, 6837, 693, 519, 942, 269, 1635, 476, 8687, 273, 267, 646, 6591, 930, 3007, 585, 29000, 12138, 16803, 779, 30612, 538, 1200, 3801, 547, 4309, 1200, 9393, 779, 21829, 2782, 2628, 269, 16803, 1185, 17379, 8569, 267, 855, 1010, 2669, 2451, 11427, 269, 16803, 538, 2804, 829, 559, 269, 9652, 779, 3646, 8507, 538, 2407, 8569, 563, 763, 18322, 2006, 28520, 5128, 883, 519, 2112, 4674, 609, 519, 1482, 1648, 543, 4398, 607, 519, 16803, 2013, 269, 9652, 24027, 609, 519, 2112, 17761, 802, 804, 600, 1681, 585, 9547, 1996, 3703, 3051, 725, 269, 2991, 519, 2112, 17083, 267, 519, 18322, 2006, 8120, 547, 17996, 547, 15313, 13538, 269, 2201, 5181, 476, 1240, 267, 476, 8687, 273, 267, 1010, 1770, 11324, 4240, 10783, 31722, 689, 12075, 269, 30850, 267, 646, 771, 7171, 539, 519, 17740, 807, 543, 8120, 547, 6115, 667, 5861, 563, 17812, 816, 2006, 9652, 14059, 5518, 23885, 609, 4566, 547, 13230, 513, 1368, 20482, 8759, 2112, 1996, 519, 12075, 269, 634, 7952, 6964, 1010, 12485, 538, 519, 4832, 540, 476, 8687, 274, 950, 9652, 8120, 547, 519, 2361, 609, 13538, 269, 3571, 13573, 3089, 2103, 7722, 570, 1815, 636, 572, 327, 1310, 20182, 32126, 31473, 779, 11802, 693, 8235, 661, 4471, 269, 570, 1815, 636, 572, 327, 23647, 3443, 268, 24465, 18541, 543, 519, 5137, 540, 606, 4830, 4095, 1533, 269, 1261, 9763, 519, 3703, 607, 1761, 5260, 12542, 543, 16167, 269, 1879, 519, 2112, 13264, 856, 267, 646, 521, 3660, 609, 6628, 543, 15548, 538, 24354, 779, 7001, 269, 634, 4892, 2808, 570, 1815, 636, 572, 327, 513, 2101, 3463, 547, 3084, 3354, 563, 297, 28427, 17204, 570, 1815, 636, 572, 327, 593, 5181, 476, 3066, 543, 1476, 4593, 730, 3703, 7727, 593, 5239, 476, 274, 269, 634, 3703, 4956, 547, 4339, 519, 4892, 593, 5239, 476, 276, 269, 9652, 779, 4587, 7015, 267, 6276, 267, 16091, 519, 1292, 3703, 3196, 1247, 9400, 7722, 570, 1815, 636, 572, 327, 779, 12075, 269, 6276, 9652, 779, 3196, 30635, 3042, 519, 10546, 1102, 997, 1154, 476, 4037, 260, 25096, 269, 11531, 267, 1010, 7820, 7015, 10692, 513, 27162, 615, 6370, 593, 519, 6316, 540, 513, 32761, 563, 763, 11135, 540, 519, 774, 1868, 8057, 26525, 585, 6837, 2006, 9652, 543, 570, 1815, 636, 572, 327, 269, 1323, 1977, 29816, 9901, 8959, 538, 519, 32761, 344, 2666, 269, 22365, 4403, 906, 7142, 519, 12075, 883, 519, 32761, 1697, 269, 570, 1815, 636, 572, 327, 5747, 1282, 519, 18956, 269, 25126, 593, 7504, 3724, 7166, 519, 4095, 6205, 269, 1635, 713, 1448, 267, 9652, 729, 835, 540, 1906, 4892, 2451, 593, 7504, 3724, 543, 4607, 5491, 563, 763, 13573, 3089, 2103, 4362, 570, 1815, 636, 572, 327, 779, 3788, 2282, 9652, 779, 11058, 609, 16398, 5812, 609, 9652, 779, 16537, 565, 543, 29461, 269, 3958, 267, 606, 4095, 8783, 20754, 519, 18322, 2006, 1354, 1373, 8929, 4666, 269, 9652, 25540, 1282, 519, 6278, 689, 2947, 16886, 16398, 269, 1323, 3606, 476, 1839, 4439, 7410, 25778, 3022, 538, 1010, 7504, 543, 3937, 269, 3571, 2367, 6569, 1864, 689, 519, 2361, 543, 519, 17996, 5065, 16626, 563, 763, 2112, 5869, 9652, 8120, 547, 6115, 667, 5861, 269, 543, 960, 269, 634, 2112, 11943, 693, 519, 1439, 540, 476, 8687, 275, 269, 634, 18322, 2006, 5249, 547, 5150, 533, 5014, 585, 11097, 3298, 543, 610, 874, 753, 269, 1261, 6039, 538, 519, 14130, 689, 476, 8687, 280, 268, 9264, 280, 543, 8120, 547, 519, 5600, 540, 24929, 1354, 4742, 13030, 7022, 269, 634, 24273, 4941, 513, 2112, 5869, 593, 519, 19044, 7258, 9410, 11709, 645, 675, 333, 269, 634, 6292, 4465, 519, 476, 8146, 277, 9550, 543, 9652, 10924, 519, 2034, 5207, 5604, 538, 3013, 563, 32178, 22895, 528, 9652, 5249, 585, 11097, 3298, 607, 513, 6837, 2006, 269, 9737, 18322, 1308, 7886, 267, 646, 10692, 538, 519, 2782, 540, 476, 8687, 273, 269, 9652, 6896, 13538, 543, 3366, 873, 883, 6370, 269, 1261, 7153, 513, 2112, 5869, 1310, 9396, 908, 543, 11318, 570, 1815, 636, 572, 327, 538, 476, 8687, 274, 269, 3571, 9740, 3366, 547, 519, 21470, 3465, 19409, 540, 519, 2136, 2276, 269, 0, 2252, 707, 1126, 1185, 513, 23069, 267, 1131, 596, 917, 621, 286, 1656, 1131, 596, 917, 1018, 547, 798, 888, 1432, 568, 513, 23069, 888, 288, 23069, 568, 513, 5618, 1974, 540, 942, 950, 513, 1268, 779, 2634, 814, 513, 10006, 540, 5122, 2534, 269, 634, 10006, 17303, 32290, 9637, 267, 11994, 267, 543, 5924, 4887, 1852, 269, 5753, 609, 24583, 13887, 623, 1023, 344, 267, 20150, 267, 2790, 29472, 566, 267, 610, 1022, 14715, 4524, 616, 693, 2362, 1981, 585, 7680, 513, 23069, 269, 898, 779, 513, 1434, 2856, 585, 3237, 547, 5431, 519, 2589, 543, 917, 1018, 547, 798, 563, 303, 6372, 4191, 540, 513, 23069, 912, 268, 853, 2130, 1975, 20635, 269, 1403, 707, 1126, 814, 14501, 540, 31325, 883, 2230, 267, 1118, 621, 513, 1448, 547, 7747, 1864, 5402, 269, 2991, 519, 11963, 267, 666, 646, 2995, 596, 1018, 646, 729, 968, 628, 9722, 892, 827, 286, 6496, 646, 723, 1022, 3965, 540, 519, 10071, 286, 769, 519, 2013, 540, 513, 23069, 267, 707, 1126, 786, 3100, 547, 10145, 856, 4090, 3320, 267, 543, 711, 3314, 621, 19952, 269, 901, 568, 9875, 547, 3313, 538, 513, 1875, 31646, 1126, 269, 6733, 585, 824, 4191, 1282, 519, 28542, 971, 607, 7646, 1000, 26677, 267, 12150, 1025, 9722, 267, 610, 8966, 11132, 5322, 269, 901, 2186, 540, 23069, 568, 1572, 606, 9000, 23069, 267, 607, 952, 519, 1126, 568, 968, 11274, 550, 892, 689, 519, 1158, 1472, 1864, 585, 1896, 7643, 563, 268, 5899, 1052, 3911, 20635, 610, 570, 770, 525, 269, 1403, 707, 1126, 5360, 1622, 602, 1352, 24462, 8966, 30851, 267, 610, 814, 513, 16168, 6492, 538, 1200, 5023, 267, 891, 1223, 581, 4191, 540, 513, 2241, 9864, 23069, 269, 4033, 2589, 1331, 979, 846, 27894, 610, 669, 1571, 585, 1100, 7805, 2601, 267, 24852, 1510, 2014, 267, 543, 4743, 10393, 31604, 610, 552, 25045, 7595, 950, 1346, 4606, 616, 9642, 569, 856, 540, 1747, 269, 2991, 7680, 513, 2241, 9864, 23069, 267, 519, 1126, 1131, 3314, 1018, 1352, 5433, 543, 1223, 2911, 827, 621, 563, 268, 590, 5844, 12791, 1652, 10263, 269, 901, 2186, 540, 23069, 1522, 1376, 607, 513, 31325, 11963, 267, 543, 2490, 883, 9067, 23337, 22326, 267, 16116, 693, 9660, 267, 543, 6972, 2832, 8393, 269, 5899, 1052, 2623, 1522, 581, 4767, 267, 971, 607, 18110, 513, 2262, 610, 8360, 267, 9427, 7802, 267, 610, 4881, 4724, 519, 8265, 269, 901, 568, 2352, 547, 16174, 689, 2161, 267, 519, 6093, 2623, 540, 606, 26144, 1126, 267, 855, 519, 2385, 1058, 1413, 585, 5618, 14501, 1141, 519, 1126, 4667, 30890, 543, 711, 5128, 269, 901, 568, 1572, 513, 1950, 9864, 23069, 563, 268, 1133, 25049, 10610, 28073, 269, 901, 1223, 1331, 4376, 689, 606, 6186, 610, 1850, 28478, 6362, 10393, 630, 553, 1034, 1004, 723, 4810, 593, 8317, 950, 789, 941, 1743, 14823, 1055, 547, 3207, 1070, 547, 519, 1126, 21177, 547, 519, 2666, 267, 13888, 2287, 267, 543, 1000, 26677, 3423, 1836, 269, 901, 1131, 581, 2808, 513, 2489, 23069, 267, 1141, 1312, 5011, 540, 519, 1560, 616, 3238, 543, 519, 1126, 568, 4299, 689, 2212, 547, 23179, 269, 1261, 1522, 6632, 5128, 267, 11116, 1010, 11469, 267, 4779, 534, 267, 610, 3956, 269, 1452, 5686, 540, 17465, 616, 1572, 693, 4577, 267, 512, 4577, 267, 512, 4577, 12641, 4577, 267, 543, 1250, 16438, 4577, 267, 4470, 593, 519, 2589, 563, 1432, 1058, 594, 798, 952, 1250, 1126, 814, 513, 23069, 888, 268, 1280, 7646, 518, 17465, 267, 971, 607, 9000, 17465, 610, 31325, 28542, 267, 1118, 606, 13393, 585, 707, 1126, 547, 1294, 1010, 12963, 1014, 269, 11512, 4010, 1018, 596, 616, 11287, 269, 634, 4387, 949, 1616, 547, 2932, 930, 4255, 269, 769, 1082, 2665, 267, 891, 7646, 518, 3029, 540, 23069, 786, 14897, 950, 513, 1126, 568, 538, 1010, 12322, 563, 268, 1403, 707, 1126, 5956, 5996, 6160, 532, 630, 16443, 2193, 28478, 6362, 543, 13888, 2287, 264, 638, 1157, 569, 3391, 1200, 547, 513, 2922, 2230, 1141, 1352, 4465, 1406, 3614, 675, 9887, 563, 268, 1684, 711, 2322, 4376, 538, 519, 1126, 779, 5023, 563, 268, 1684, 711, 1964, 1778, 519, 1126, 563, 268, 1684, 711, 22551, 267, 3458, 600, 267, 610, 1831, 3443, 17673, 269, 2836, 332, 569, 7227, 856, 519, 23069, 563, 268, 1403, 519, 23069, 5170, 3476, 982, 2947, 3764, 267, 610, 952, 713, 568, 707, 1126, 779, 1101, 23069, 267, 1289, 476, 26605, 563, 268, 2991, 519, 23069, 267, 798, 711, 2285, 519, 1126, 1426, 610, 4235, 2394, 646, 568, 4625, 16626, 563, 268, 5753, 609, 7368, 17465, 1058, 711, 11878, 21891, 538, 519, 8265, 610, 18214, 4054, 267, 3092, 1421, 1510, 6297, 15569, 563, 7212, 31029, 267, 1034, 9678, 17465, 616, 711, 5739, 269, 1703, 616, 849, 6527, 2139, 799, 666, 2061, 17465, 689, 9648, 267, 610, 7494, 24390, 741, 4908, 543, 5924, 10335, 269, 1280, 1453, 609, 20560, 610, 7368, 23069, 25102, 27689, 267, 2705, 267, 519, 23567, 9775, 269, 769, 891, 811, 4049, 2665, 267, 513, 2347, 10826, 949, 581, 12691, 269, 4935, 267, 513, 1434, 2078, 609, 513, 12592, 267, 12391, 10629, 568, 4105, 269, 2405, 1709, 10659, 949, 581, 4603, 539, 609, 267, 543, 6391, 949, 581, 606, 4781, 269, 3194, 568, 5571, 543, 707, 7418, 543, 1489, 538, 519, 2014, 540, 4466, 524, 999, 568, 2877, 269, 630, 8450, 1250, 5816, 968, 1692, 1411, 2052, 6435, 519, 590, 1157, 543, 519, 22206, 1359, 1848, 994, 14399, 609, 23069, 4713, 616, 14718, 585, 7981, 4065, 7896, 267, 2687, 547, 519, 15706, 609, 24894, 4065, 26094, 2920, 540, 476, 1220, 275, 630, 2839, 12788, 1040, 0, 20663, 2203, 2337, 3589, 3075, 8801, 2360, 454, 288, 1305, 540, 2780, 3631, 6585, 9153, 547, 3589, 2942, 2427, 2360, 538, 5061, 267, 4543, 3173, 1020, 10930, 6527, 543, 5732, 4688, 17542, 540, 9489, 6170, 593, 3384, 5061, 602, 3111, 563, 763, 960, 267, 17729, 2228, 713, 3018, 538, 519, 4760, 7186, 267, 2934, 1382, 689, 519, 2160, 540, 4993, 267, 5842, 12770, 267, 23941, 585, 12713, 21357, 3194, 543, 7256, 27087, 14997, 11914, 338, 734, 320, 772, 5425, 293, 8095, 11325, 2754, 9250, 676, 1079, 540, 519, 1957, 781, 4589, 269, 1358, 1305, 856, 547, 1711, 513, 2203, 547, 3589, 799, 3075, 16548, 941, 1034, 2693, 547, 723, 8801, 2427, 2360, 267, 2687, 547, 513, 772, 5425, 293, 2376, 563, 5575, 267, 519, 3173, 2813, 513, 6538, 540, 476, 10463, 5946, 2404, 609, 8801, 2427, 2360, 269, 3973, 789, 1031, 513, 2780, 1982, 547, 5659, 2436, 513, 5399, 540, 476, 4792, 277, 9516, 5061, 941, 2693, 547, 2170, 609, 1022, 540, 873, 563, 763, 3173, 1500, 811, 982, 476, 272, 267, 1822, 11236, 267, 543, 1336, 827, 3368, 540, 873, 547, 581, 2953, 267, 20240, 998, 1007, 4255, 538, 519, 8047, 269, 1358, 849, 1336, 476, 14681, 5892, 7164, 4205, 563, 10454, 7887, 9983, 729, 1175, 875, 1596, 4593, 6681, 519, 5061, 941, 267, 609, 1142, 3075, 18644, 811, 982, 476, 1015, 2600, 540, 519, 9072, 267, 543, 875, 1419, 519, 2427, 13716, 9072, 941, 20775, 547, 519, 5892, 1634, 9072, 540, 519, 5061, 2437, 1767, 20574, 1744, 18757, 2867, 267, 513, 772, 5425, 293, 7548, 540, 14453, 7998, 543, 4745, 9666, 518, 593, 519, 1788, 269, 834, 6546, 1131, 723, 1044, 2182, 547, 3589, 1210, 3044, 3621, 4485, 4799, 288, 4122, 11855, 1942, 585, 8744, 513, 3075, 547, 2344, 568, 1269, 272, 269, 273, 5479, 2066, 476, 1428, 1296, 267, 4352, 602, 666, 2220 ]

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

[ 9042, 3902, 543, 2934, 729, 519, 2949, 2298, 540, 519, 2777, 563, 8722, 2137, 602, 723, 519, 1655, 9756, 547, 519, 22312, 12313, 454, 25539, 2969, 13543, 22957, 281, 769, 1931, 547, 3589, 519, 6364, 4756, 630, 344, 4756, 264, 596, 991, 547, 2490, 782, 519, 1843, 1826, 9587, 883, 25948, 538, 1931, 547, 3589, 519, 22312, 12313, 269, 1924, 1101, 267, 594, 10736, 782, 519, 3921, 1400, 9587, 883, 25948, 676, 26471, 873, 676, 2338, 267, 543, 585, 782, 519, 824, 2934, 594, 2813, 546, 16244, 4632, 563, 300, 7495, 5085, 5058, 281, 2991, 2870, 782, 519, 2934, 547, 3589, 519, 9042, 5777, 267, 1210, 28189, 267, 649, 5721, 23150, 1606, 5902, 519, 2866, 1239, 269, 769, 22953, 267, 972, 616, 513, 2603, 540, 3631, 596, 666, 3442, 689, 547, 1205, 519, 1655, 7900, 2203, 269, 769, 713, 1788, 267, 594, 10443, 12430, 22953, 267, 23374, 267, 543, 20098, 810, 3631, 563, 32086, 24143, 281, 1215, 519, 2203, 13352, 519, 2866, 1239, 454, 14818, 532, 24143, 281, 1215, 519, 2203, 2489, 3278, 547, 1007, 1239, 454, 305, 5960, 292, 281, 31698, 875, 2484, 11236, 2887, 689, 6027, 3020, 2418, 1210, 28070, 3845, 563, 763, 15977, 2203, 1185, 606, 681, 5960, 292, 540, 1269, 3199, 267, 1822, 269, 589, 15977, 568, 1031, 547, 5635, 519, 681, 5960, 292, 547, 1250, 2203, 779, 681, 5960, 292, 547, 1397, 875, 2500, 1250, 2203, 568, 269, 1924, 782, 540, 519, 3631, 1685, 5393, 1732, 982, 519, 15977, 267, 10213, 721, 602, 938, 2203, 568, 17782, 3622, 1732, 982, 519, 15977, 2203, 563, 299, 27591, 15824, 1732, 982, 12430, 22953, 610, 23374, 607, 621, 3947, 606, 681, 273, 6060, 540, 476, 10844, 260, 593, 519, 1449, 543, 476, 24241, 2764, 593, 519, 681, 5960, 292, 269, 594, 8359, 20098, 810, 1317, 519, 2203, 1185, 513, 2603, 540, 2934, 543, 519, 15255, 810, 2203, 695, 337, 3855, 543, 18788, 519, 14170, 267, 799, 6971, 13065, 1510, 513, 8101, 2333, 540, 519, 9186, 563, 1607, 2982, 519, 2078, 1063, 10567, 543, 4890, 9042, 3902, 282, 607, 596, 666, 1294, 621, 568, 7168, 5276, 269, 634, 2203, 568, 1434, 1317, 519, 10567, 543, 4890, 9042, 5777, 616, 2731, 2673, 547, 1142, 824, 563, 19350, 568, 519, 3095, 585, 27707, 29878, 585, 519, 1788, 952, 596, 1616, 547, 2638, 621, 856, 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 ]

[ 0, 288, 18419, 5106, 568, 3989, 676, 513, 16692, 4041, 15288, 16083, 269, 634, 1871, 540, 519, 16692, 4041, 15288, 568, 18593, 269, 1403, 513, 1871, 568, 3177, 621, 568, 519, 5021, 1297, 540, 3597, 9136, 547, 581, 25216, 269, 18040, 16730, 543, 674, 6579, 9898, 21291, 616, 1031, 547, 5815, 799, 9136, 1058, 581, 25216, 563, 2304, 18419, 666, 5372, 513, 3597, 6843, 610, 8371, 269, 1403, 519, 18040, 16730, 16083, 13292, 513, 7936, 602, 7936, 568, 25216, 2059, 609, 782, 7923, 8371, 563, 13750, 906, 616, 11117, 607, 2106, 11388, 3585, 3850, 2789, 14222, 14511, 547, 581, 3742, 269, 1677, 1489, 713, 606, 681, 2839, 16083, 568, 4847, 538, 519, 16692, 4041, 15288, 3948, 269, 634, 1871, 585, 519, 681, 2839, 16083, 1590, 581, 513, 5569, 269, 634, 681, 2839, 1871, 568, 5293, 1394, 538, 519, 13214, 1267, 563, 763, 2132, 689, 513, 16692, 4041, 15288, 568, 513, 32227, 8629, 269, 634, 9115, 540, 519, 1267, 8629, 786, 581, 1114, 4470, 593, 519, 1967, 610, 5821, 540, 519, 6268, 269, 769, 782, 2665, 513, 3009, 4759, 786, 581, 1459, 269, 589, 3009, 1871, 540, 4642, 6920, 1967, 269, 7102, 824, 1871, 6920, 606, 5470, 563, 4002, 1967, 519, 32227, 1843, 1267, 786, 1331, 513, 25216, 4759, 602, 568, 606, 5044, 540, 519, 8100, 547, 782, 751, 25216, 5638, 563, 2252, 606, 681, 2839, 729, 9138, 538, 519, 13214, 1287, 513, 7759, 4759, 786, 849, 581, 3769, 538, 519, 1267, 8629, 563, 2252, 606, 5470, 4386, 1282, 3948, 4393, 610, 519, 3948, 568, 711, 4570, 519, 32227, 1843, 1267, 786, 1331, 513, 5470, 4759, 10503, 519, 5470, 269, 0, 1103, 513, 942, 543, 1747, 1141, 9322, 540, 782, 7606, 568, 6026, 607, 606, 1898, 585, 519, 2104, 540, 938, 1158, 267, 621, 781, 3592, 4652, 29342, 1043, 547, 9787, 519, 16897, 540, 519, 14195, 269, 3776, 2197, 568, 4421, 2390, 519, 10206, 2221, 602, 782, 2367, 5963, 941, 2813, 3160, 269, 10251, 972, 616, 930, 1004, 538, 713, 1158, 945, 1869, 3494, 602, 547, 581, 513, 6071, 6644, 269, 1717, 267, 609, 2221, 781, 3450, 543, 2645, 267, 594, 3494, 649, 616, 3927, 2324, 512, 3581, 14874, 7522, 16490, 3206, 563, 13981, 827, 519, 14195, 814, 5280, 803, 547, 1174, 602, 1480, 7919, 616, 5827, 540, 796, 20459, 762, 13842, 269, 4014, 621, 666, 581, 11130, 602, 519, 9082, 9525, 538, 519, 2621, 540, 519, 14195, 941, 1759, 9003, 454, 517, 6766, 3206, 267, 594, 1265, 621, 2182, 547, 3494, 454, 1415, 821, 568, 5827, 540, 971, 646, 29532, 10963, 1510, 930, 8247, 269, 22628, 543, 6217, 519, 2984, 540, 3470, 1853, 781, 2833, 13264, 1250, 2295, 269, 24651, 519, 10413, 538, 972, 9739, 543, 519, 4250, 538, 741, 4064, 607, 789, 1928, 14673, 569, 973, 9464, 4090, 1310, 4090, 267, 729, 3592, 547, 1454, 585, 803, 547, 11953, 563, 296, 723, 1831, 3222, 602, 972, 616, 1869, 3742, 2516, 2221, 602, 3494, 538, 513, 9120, 5198, 267, 1175, 607, 13609, 1705, 269, 670, 622, 568, 1869, 9800, 2221, 538, 519, 12271, 540, 1082, 3425, 267, 543, 8259, 649, 3136, 547, 4001, 519, 4245, 649, 723, 4121, 689, 519, 14195, 267, 621, 786, 3136, 547, 1332, 543, 1821, 712, 1022, 2631, 540, 9322, 649, 723, 6591, 269, 594, 1745, 18507, 594, 729, 6026, 971, 513, 3992, 267, 543, 1544, 593, 8429, 621, 1524, 547, 5108, 1310, 5108, 563, 9802, 649, 2760, 7340, 1346, 945, 4503, 741, 2729, 547, 13842, 267, 543, 1346, 945, 11542, 593, 519, 12939, 540, 2669, 267, 1152, 547, 20630, 621, 538, 519, 1439, 563, 8923, 6443, 5530, 300, 1712, 547, 1224, 519, 2407, 3561, 0, 7212, 5185, 609, 2042, 538, 519, 2250, 267, 519, 2069, 1062, 538, 32678, 568, 1818, 606, 16529, 4674, 547, 12492, 4008, 7862, 543, 2333, 2038, 17263, 7924, 267, 607, 7000, 676, 513, 476, 1001, 277, 6167, 32019, 1353, 269, 8729, 547, 2229, 3292, 6322, 693, 5355, 2596, 2069, 543, 9001, 18960, 3450, 2409, 267, 7924, 3928, 538, 32678, 5365, 4191, 540, 6454, 563, 4415, 513, 2551, 540, 811, 982, 476, 1556, 2929, 267, 32678, 568, 519, 1034, 29822, 20651, 2197, 538, 4000, 267, 543, 3368, 540, 922, 2551, 568, 896, 476, 1240, 269, 2060, 971, 513, 1804, 2146, 540, 1762, 1004, 267, 519, 6454, 543, 23425, 540, 2069, 2429, 519, 2197, 568, 4105, 585, 922, 14227, 1646, 269, 32678, 779, 2229, 2418, 2069, 607, 2565, 585, 12560, 1646, 267, 543, 814, 3976, 2799, 922, 28286, 618, 538, 519, 3084, 6578, 689, 476, 1704, 2600, 630, 1001, 273, 268, 1001, 274, 264, 547, 476, 2420, 2600, 630, 1001, 278, 268, 1001, 279, 1916, 305, 342, 7701, 814, 10150, 513, 6175, 538, 6710, 936, 519, 2250, 476, 736, 1296, 267, 10483, 676, 2804, 2208, 543, 24567, 2069, 4441, 269, 634, 2197, 814, 849, 8179, 547, 2087, 2069, 676, 2519, 593, 1883, 2591, 971, 607, 6749, 719, 3928, 267, 4116, 2866, 543, 519, 6454, 540, 3872, 2645, 585, 2027, 2115, 1453, 563, 10303, 540, 891, 3646, 547, 2087, 2069, 267, 7924, 3928, 538, 32678, 723, 2799, 20406, 269, 7216, 17263, 7924, 3292, 1445, 593, 3450, 1453, 538, 741, 5065, 1893, 540, 918, 4176, 541, 342, 7701, 267, 799, 1287, 5170, 883, 4245, 538, 3943, 543, 2296, 269, 8178, 906, 8612, 602, 1453, 941, 7494, 4299, 676, 519, 6454, 538, 741, 1565, 5054, 543, 519, 2164, 540, 19829, 2866, 563, 1607, 11428, 547, 2069, 568, 9878, 1055, 1107, 32678, 814, 519, 5207, 3119, 1153, 27350, 2557, 540, 1022, 2197, 538, 4000, 267, 543, 814, 6913, 4008, 26027, 538, 10026, 2069, 3292, 267, 609, 6690, 685, 27350, 2965, 2362, 630, 7176, 2600, 264, 982, 8695, 685, 630, 4817, 2600, 1040, 769, 6281, 2069, 267, 6690, 1631, 17663, 476, 7367, 2600, 540, 19801, 1053, 563, 2467, 616, 1869, 513, 1906, 2591, 6849, 519, 27431, 663, 534, 1153, 1062, 269, 5753, 538, 6917, 2127, 267, 607, 1134, 607, 1346, 4535, 1282, 610, 16172, 1310, 519, 476, 1960, 275, 21393, 267, 616, 2484, 3297, 538, 7924, 543, 3668, 1569, 547, 2298, 2069, 269, 6167, 32019, 814, 1336, 602, 4116, 2866, 543, 15366, 9525, 616, 1079, 1883, 2188, 538, 5355, 2069, 538, 6917, 32678, 563, 8601, 23665, 547, 5355, 922, 2069, 1062, 267, 32678, 568, 1818, 1390, 3356, 538, 5355, 519, 2729, 540, 922, 1453, 269, 2060, 4797, 1445, 593, 6917, 1153, 1949, 267, 19829, 2866, 543, 2038, 17263, 2542, 3292, 267, 922, 2229, 6763, 547, 7794, 543, 12954, 606, 3003, 5108, 540, 1762, 8186, 269, 1403, 519, 8375, 7924, 3928, 538, 32678, 616, 1022, 8086, 540, 519, 18330, 540, 519, 2197, 779, 1453, 267, 789, 786, 1265, 789, 723, 1152, 519, 6607, 607, 519, 3970, 563, 1700, 14667, 21244, 0, 2690, 6502, 267, 4928, 19019, 814, 15538, 540, 9499, 267, 1082, 31940, 543, 513, 25879, 4580, 269, 32167, 2812, 941, 2838, 543, 3743, 585, 2185, 9499, 543, 31940, 267, 3767, 267, 519, 3068, 540, 6044, 814, 4957, 269, 19019, 814, 1044, 9927, 689, 519, 2757, 5943, 540, 1565, 547, 513, 811, 7493, 543, 4359, 3942, 540, 1565, 269, 5221, 519, 1158, 568, 14027, 547, 3152, 17909, 540, 2029, 267, 3610, 616, 3743, 585, 14237, 267, 3395, 543, 1319, 1005, 10453, 883, 1373, 4628, 5827, 1599, 2818, 540, 2486, 563, 27645, 786, 6536, 543, 5351, 10453, 883, 4742, 1134, 268, 18164, 476, 2641, 590, 4306, 2540, 4961, 676, 23889, 2029, 20553, 519, 6437, 543, 19019, 269, 23889, 1007, 2157, 540, 2029, 547, 7520, 1565, 538, 519, 4928, 786, 711, 1152, 3986, 4928, 6044, 267, 621, 786, 849, 3132, 2818, 540, 2486, 945, 814, 513, 1991, 1702, 540, 519, 1585, 3029, 540, 2029, 543, 875, 789, 7500, 269, 2290, 540, 519, 1034, 7533, 2694, 540, 513, 3811, 14292, 4928, 568, 2029, 269, 1306, 1279, 607, 972, 568, 513, 2312, 3483, 585, 519, 946, 540, 2029, 1282, 6044, 267, 898, 786, 581, 4105, 5057, 538, 519, 4928, 563, 2467, 616, 1896, 2081, 2029, 666, 581, 1031, 769, 519, 4928, 547, 7520, 543, 3986, 1565, 269, 14190, 532, 10453, 547, 12840, 7493, 2035, 1210, 623, 6758, 607, 606, 5351, 547, 3914, 3280, 3664, 282, 3610, 1210, 3561, 12514, 547, 2203, 32462, 10526, 585, 3308, 6267, 282, 543, 13868, 3819, 268, 518, 848, 12545, 609, 12829, 12545, 616, 782, 6639, 7760, 602, 616, 1031, 547, 7520, 1565, 269, 30459, 21181, 883, 519, 4928, 6770, 1565, 547, 1272, 269, 3955, 716, 532, 2029, 267, 971, 607, 2029, 2306, 1565, 811, 2502, 543, 11791, 563, 2304, 928, 19846, 331, 267, 513, 1126, 18673, 2829, 602, 609, 519, 946, 540, 623, 6758, 267, 1082, 1053, 1451, 811, 7561, 543, 814, 513, 811, 4977, 1620, 540, 7493, 2035, 892, 630, 289, 534, 476, 1001, 271, 1040, 2060, 519, 946, 540, 623, 6758, 769, 519, 4928, 3610, 786, 2322, 10453, 538, 2516, 267, 2285, 873, 606, 7493, 2035, 609, 606, 14950, 543, 1450, 10453, 547, 960, 998, 519, 1966, 15217, 609, 519, 14950, 607, 513, 4199, 269, 4635, 713, 4640, 711, 1152, 16881, 1565, 267, 621, 849, 7472, 1272, 17489, 5578, 5036, 602, 10453, 786, 991, 971, 607, 2500, 2792, 267, 519, 946, 540, 2029, 267, 543, 2565, 3206, 563, 27645, 786, 5000, 21934, 13783, 1851, 10453, 547, 4228, 519, 7997, 540, 9938, 2711, 1646, 269, 769, 1840, 547, 30459, 623, 6758, 267, 3610, 786, 946, 3561, 12514, 607, 3308, 11269, 547, 9781, 10526, 269, 4065, 11096, 9372, 267, 7033, 645, 1737, 548, 267, 2829, 267, 968, 1492, 3561, 8254, 568, 606, 6946, 5057, 538, 9781, 1543, 268, 1808, 2326, 547, 1053, 685, 4948, 685, 630, 289, 1737, 548, 476, 1001, 273, 1040, 634, 4116, 786, 2932, 513, 3621, 4603, 543, 946, 519, 3561, 8254, 607, 3308, 1879, 519, 4116, 1281, 713, 267, 10453, 786, 1246, 2059, 267, 4758, 873, 3308, 4287, 3079, 540, 3807, 13047, 563, 12234, 267, 3610, 666, 946, 519, 3561, 8254, 547, 1711, 3308, 3631, 585, 10453, 538, 1585, 1543, 268, 1808, 2127, 269, 11334, 786, 946, 3561, 12514, 538, 2979, 547, 1459, 3308, 6041, 540, 10442, 7215, 269, 11334, 786, 946, 519, 3561, 8254, 607, 513, 3308, 1797, 585, 10453, 547, 1246, 2059, 538, 2542, 1570, 269, 11334, 786, 946, 519, 3561, 8254, 543, 10453, 786, 1732, 1174, 1018, 568, 1373, 2838, 547, 581, 3811, 543, 547, 1831, 18164, 540, 519, 3044, 602, 568, 1373, 6026, 563, 13010, 267, 12829, 12545, 786, 581, 1031, 547, 2417, 7520, 1565, 269, 634, 12829, 4604, 568, 1031, 607, 4062, 540, 2029, 547, 4497, 10453, 883, 1565, 538, 1585, 3029, 982, 519, 2757, 11000, 267, 4063, 268, 6998, 1505, 269, 27239, 4210, 534, 543, 1325, 2581, 645, 1633, 267, 3872, 3173, 267, 723, 6594, 543, 11943, 602, 519, 12829, 4604, 568, 3015, 547, 782, 1565, 6163, 543, 621, 568, 16363, 1646, 958, 3617, 585, 711, 1152, 1367, 10453, 267, 3276, 585, 10319, 1565, 607, 1134, 630, 306, 9774, 476, 1220, 278, 1916, 306, 9774, 2417, 1533, 779, 602, 968, 27319, 12545, 3854, 3278, 593, 519, 1871, 540, 2789, 11269, 543, 14839, 585, 3450, 2979, 543, 2257, 2035, 547, 1762, 1453, 543, 849, 16881, 1514, 2090, 543, 7924, 1565, 607, 649, 5532, 2592, 547, 1257, 543, 26203, 1239, 267, 5961, 267, 543, 22203, 892, 630, 306, 9774, 476, 1220, 278, 1040, 11334, 786, 946, 519, 12829, 4425, 1841, 607, 513, 1797, 547, 2932, 1585, 2238, 602, 786, 581, 10710, 543, 5219, 1394, 547, 607, 513, 1797, 547, 1201, 1393, 610, 6961, 8367, 269, 634, 4116, 786, 849, 946, 519, 12829, 4604, 547, 1711, 543, 10891, 1239, 602, 666, 581, 5693, 9916, 676, 519, 3003, 4928, 540, 10453, 563, 2691, 3610, 946, 519, 12829, 4604, 267, 621, 786, 2333, 519, 1297, 540, 7589, 543, 4928, 9525, 269, 11334, 786, 723, 547, 581, 5499, 543, 5812, 609, 10453, 547, 2327, 3811, 2164, 269, 23889, 2029, 883, 519, 4928, 814, 922, 5294, 607, 1134, 607, 922, 931, 269, 5303, 786, 581, 1031, 547, 2417, 4434, 519, 2247, 540, 22679, 3931, 1762, 10453, 269, 5303, 786, 849, 581, 1031, 547, 2417, 16491, 10453, 585, 1018, 568, 2877, 585, 2104, 13120, 1310, 3446, 1153, 269, 1717, 267, 952, 3610, 798, 711, 723, 513, 1808, 3483, 585, 519, 946, 540, 2029, 267, 621, 1223, 2014, 2800, 547, 10453, 563, 294, 1516, 10453, 1932, 1454, 15698, 609, 2029, 666, 1267, 538, 11539, 689, 519, 960, 602, 729, 2838, 540, 519, 20194, 267, 513, 2530, 540, 1719, 538, 1018, 519, 4116, 568, 3843, 547, 1205, 10453, 547, 1451, 267, 543, 1256, 513, 8488, 538 ]

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

[ 6293, 538, 519, 2014, 540, 10336, 6963, 269, 634, 17137, 29211, 538, 27510, 519, 3350, 543, 676, 476, 9965, 271, 338, 7890, 1533, 729, 538, 519, 2797, 1769, 1101, 538, 4789, 543, 5555, 2968, 513, 2101, 2797, 2339, 547, 782, 7262, 7239, 269, 634, 3350, 8507, 538, 513, 1713, 6963, 540, 3652, 543, 1646, 585, 17396, 24866, 454, 763, 3703, 10336, 1062, 814, 606, 27763, 1686, 267, 543, 1454, 540, 922, 4282, 849, 3029, 6402, 1369, 519, 1949, 540, 824, 2477, 269, 10456, 543, 10751, 585, 1346, 602, 1185, 8149, 10963, 941, 16431, 5551, 1256, 1282, 519, 10120, 5712, 543, 972, 568, 2963, 547, 1489, 713, 3409, 269, 1306, 2038, 607, 519, 10120, 5712, 3146, 2536, 2590, 547, 607, 2038, 607, 519, 476, 276, 628, 2540, 267, 19020, 2409, 540, 10751, 971, 607, 546, 3497, 902, 941, 2938, 547, 723, 1044, 5645, 856, 269, 634, 946, 540, 546, 25128, 976, 729, 849, 538, 1747, 267, 543, 713, 1223, 581, 9833, 607, 519, 2038, 267, 27503, 16809, 540, 2348, 513, 9744, 602, 1223, 3180, 1346, 602, 1185, 26991, 519, 1876, 269, 1635, 519, 476, 1015, 628, 2540, 2409, 540, 10751, 585, 1346, 602, 8149, 1055, 1878, 941, 2907, 7444, 9687, 267, 585, 1383, 267, 811, 11375, 636, 2033, 2409, 1185, 24111, 971, 607, 519, 11944, 540, 16304, 269, 898, 568, 0, 763, 4139, 21619, 874, 698, 807, 10791, 9208, 5314, 19541, 630, 2839, 9169, 296, 264, 729, 8547, 547, 1020, 519, 3486, 3044, 5314, 16166, 547, 4766, 9403, 21524, 1881, 3536, 543, 5394, 2989, 15559, 1031, 676, 1004, 609, 21619, 874, 698, 807, 563, 763, 9517, 9169, 296, 9730, 1336, 602, 513, 1297, 540, 2477, 1185, 2919, 741, 1378, 2039, 540, 21619, 874, 698, 807, 4441, 1210, 1114, 10297, 267, 2338, 543, 2157, 269, 4658, 609, 21619, 874, 698, 807, 949, 2097, 2066, 513, 14845, 5044, 540, 2165, 514, 3098, 585, 1022, 835, 11098, 540, 4235, 971, 607, 715, 20973, 267, 5204, 14442, 267, 5426, 476, 5611, 267, 543, 631, 843, 569, 774, 1157, 563, 763, 9517, 9169, 296, 9730, 814, 2813, 513, 8471, 21619, 874, 698, 807, 2732, 5943, 9967, 540, 476, 279, 2157, 585, 1426, 543, 4235, 269, 10738, 713, 5943, 267, 15559, 616, 1631, 3989, 607, 910, 6094, 630, 25583, 476, 271, 1070, 5594, 5394, 630, 25583, 476, 272, 1070, 7646, 569, 5394, 630, 25583, 476, 273, 1070, 26815, 5394, 630, 25583, 476, 274, 1070, 543, 5393, 5394, 630, 25583, 476, 275, 1916, 2414, 1265, 856, 811, 827, 9517, 9169, 296, 4945, 1934, 0, 763, 700, 6072, 10046, 540, 7203, 637, 323, 21807, 538, 15168, 565, 7322, 454, 763, 23419, 2095, 540, 7203, 637, 323, 21807, 12090, 538, 519, 2295, 540, 15168, 565, 7322, 269, 15907, 476, 1789, 267, 1822, 1296, 3516, 267, 621, 729, 519, 21836, 23419, 2095, 538, 519, 661, 604, 601, 547, 5066, 1524, 519, 14860, 693, 513, 1434, 476, 272, 267, 1911, 9180, 563, 300, 565, 1084, 23419, 14380, 689, 519, 3618, 781, 12933, 269, 634, 14466, 523, 330, 879, 548, 524, 5407, 18962, 568, 4646, 609, 513, 28188, 2282, 519, 16189, 614, 2917, 325, 1564, 523, 269, 3414, 18015, 538, 519, 12373, 558, 924, 4224, 267, 606, 11999, 856, 6503, 540, 23419, 4386, 538, 519, 1858, 540, 519, 670, 698, 1564, 330, 879, 548, 269, 634, 25183, 1570, 533, 2293, 5045, 2072, 883, 519, 19109, 961, 14860, 269, 769, 513, 2034, 5123, 267, 519, 14860, 568, 4904, 909, 676, 519, 23419, 13999, 543, 513, 2067, 19109, 961, 13111, 3029, 607, 513, 6281, 1106, 269, 2991, 1082, 1296, 267, 513, 1007, 5757, 5127, 568, 25653, 5045, 540, 519, 23419, 2095, 910, 519, 546, 25428, 10720, 7962, 625, 563, 1103, 519, 11175, 1686, 540, 519, 942, 267, 519, 7203, 637, 323, 21807, 23419, 2095, 5129, 513, 9645, 1909, 1317, 621, 6035, 513, 14860, 4087, 6870, 689, 519, 17160, 540, 519, 19109, 961, 269, 4014, 972, 616, 1100, 32665, 9060, 267, 621, 568, 1753, 547, 519, 4102, 4936, 11175, 538, 519, 15168, 565, 7322, 1858, 267, 519, 966, 8759, 7203, 629, 617, 529, 267, 538, 519, 7525, 25610, 540, 799, 7671, 880, 17260, 2919, 267, 689, 799, 7203, 637, 323, 21807, 8057, 563, 4415, 519, 4070, 540, 519, 16749, 1899, 538, 519, 476, 866, 628, 2540, 267, 2694, 540, 519, 23419, 2095, 543, 922, 7516, 2968, 7298, 269, 4653, 267, 15244, 540, 519, 7203, 637, 323, 21807, 23419, 2095, 616, 1869, 7298, 267, 2523, 538, 519, 1858, 540, 519, 15168, 565, 7322, 838, 320, 10651, 269, 0, 2171, 782, 917, 602, 10438, 7050, 5666, 540, 4006, 3884, 1405, 1434, 585, 938, 1072, 269, 2755, 621, 781, 15502, 547, 32696, 538, 13000, 12212, 267, 26724, 8770, 11656, 3536, 899, 5613, 267, 19787, 267, 543, 10709, 5946, 568, 1883, 585, 9319, 5312, 2068, 269, 9578, 267, 1932, 1454, 4006, 666, 4734, 596, 4743, 1447, 982, 1390, 269, 1809, 1934, 781, 1018, 596, 949, 711, 8275, 281, 4006, 1522, 849, 723, 513, 2942, 1764, 593, 707, 7633, 563, 1103, 713, 2376, 267, 596, 3513, 1451, 827, 4006, 543, 922, 1764, 593, 5642, 1072, 865, 596, 666, 1118, 2635, 5079, 585, 707, 1560, 563, 1432, 568, 17491, 888, 4131, 779, 1376, 609, 519, 9238, 281, 4006, 568, 513, 19346, 602, 938, 4703, 6460, 883, 7280, 585, 1648, 269, 1879, 649, 2911, 827, 12145, 4006, 538, 938, 2732, 267, 649, 5097, 1611, 3773, 14836, 269, 1452, 616, 14836, 602, 616, 3773, 547, 3536, 543, 16098, 1282, 4393, 610, 7041, 267, 711, 899, 519, 4006, 6923, 1336, 538, 3536, 899, 4829, 630, 305, 2089, 324, 267, 476, 1001, 277, 1916, 306, 13610, 814, 1082, 824, 4408, 267, 799, 666, 1118, 621, 16602, 547, 5544, 593, 12146, 10297, 269, 2368, 1455, 3029, 540, 3773, 14836, 1331, 912, 268, 4400, 535, 28229, 8970, 21360, 454, 268, 9466, 7573, 21360, 454, 268, 631, 5306, 21360, 454, 268, 595, 2033, 10433, 454, 2005, 779, 849, 4502, 15663, 602, 1247, 930, 12478, 949, 2119, 547, 6133, 3029, 540, 4006, 899, 25308, 21360, 267, 989, 1511, 267, 610, 9932, 607, 513, 8902, 3903, 267, 2899, 596, 3548, 873, 267, 891, 2010, 540, 6653, 22211, 723, 519, 1482, 1198, 593, 707, 1560, 607, 2834, 4006, 563, 306, 13610, 543, 4706, 6356, 593, 519, 10610, 454, 306, 1872, 1513, 616, 1101, 2007, 6479, 609, 519, 948, 540, 11476, 538, 519, 5023, 543, 1287, 2417, 7745, 1524, 676, 7181, 7408, 543, 1256, 811, 11476, 269, 2659, 1560, 5402, 21560, 875, 1454, 4006, 13978, 538, 707, 1973, 269, 4495, 4006, 3762, 519, 1507, 16892, 543, 13788, 519, 18072, 267, 621, 12153, 519, 18558, 547, 5305, 7378, 269, 6184, 6081, 568, 513, 9449, 602, 2337, 1847, 4006, 689, 707, 1973, 883, 707, 1560, 779, 2281, 547, 581, 1031, 585, 1648, 630, 295, 656, 345, 573, 3554, 656, 529, 267, 476, 1708, 273, 1916, 15152, 3339, 2175, 267, 519, 1560, 666, 6023, 891, 15088, 538, 1973, 4006, 2157, 3927, 269, 1403, 713, 1062, 568, 856, 540, 3666, 543, 1973, 4006, 13978, 1164, 267, 621, 666, 1291, 547, 1072, 2042, 899, 7378, 4187, 610, 3987, 630, 30537, 267, 476, 1708, 273, 994, 11900, 6081, 4187, 1797, 519, 2281, 1810, 1406, 4431, 547, 7378, 607, 789, 1058, 610, 519, 1560, 3085, 1406, 1118, 2614, 7378, 269, 6184, 6081, 4187, 4679, 519, 1981, 540, 3384, 1826, 476, 273, 3987, 267, 2295, 2068, 267, 543, 824, 1072, 2175, 267, 855, 972, 781, 849, 513, 2673, 4276, 1063, 3987, 543, 5642, 2530, 269, 4400, 1973, 4006, 568, 2404, 609, 20214, 538, 5642, 5860, 543, 606, 2799, 1981, 540, 18655, 630, 300, 2632, 1725, 8643, 267, 476, 1001, 272, 1916, 306, 13610, 543, 24942, 2657, 454, 22137, 723, 1336, 602, 4006, 1606, 11548, 2989, 16098, 267, 899, 14614, 267, 6653, 2989, 29225, 267, 610, 4829, 10433, 609, 3773, 4006, 267, 616, 2404, 609, 1713, 20214, 538, 2898, 23073, 5642, 7777, 5860, 630, 289, 13270, 264, 630, 288, 18255, 267, 476, 1708, 272, 1040, 645, 13270, 568, 513, 6482, 540, 5642, 4222, 543, 568, 1031, 547, 2268, 21404, 610, 11560, 13449, 807, 269, 4033, 2090, 723, 1336, 602, 6704, 14614, 568, 2404, 609, 606, 2799, 1981, 540, 18655, 630, 13312, 301, 545, 565, 656, 517, 1470, 267, 476, 1001, 279, 1916, 288, 13654, 2601, 602, 4006, 949, 3565, 547, 4057, 5642, 1072, 568, 602, 1164, 1606, 13610, 3536, 610, 10425, 949, 1491, 519, 1747, 540, 824, 3536, 602, 1683, 1271, 5567, 585, 5642, 1072, 269, 1809, 972, 949, 581, 824, 2188, 585, 519, 3095, 1063, 4006, 543, 5642, 1072, 607, 1134, 269, 1280, 1383, 267, 930, 2090, 723, 1336, 602, 4006, 1223, 2333, 519, 608, 17917, 540, 1898, 5567, 630, 3697, 7513, 267, 13101, 267, 543, 11379, 264, 689, 707, 1560, 630, 13312, 301, 545, 565, 656, 517, 1470, 267, 476, 1001, 279, 1040, 1452, 6886, 616, 4105, 585, 4509, 2178, 543, 2635, 7633, 563, 2467, 779, 849, 513, 2673, 2078, 1063, 7378, 543, 5642, 1072, 267, 543, 930, 1382, 5267, 602, 1164, 7378, 2157, 666, 15936, 609, 519, 3339, 556, 25388, 1632, 540, 6886, 899, 7513, 630, 290, 760, 6929, 328, 267, 476, 1708, 271, 1040, 769, 25691, 267, 799, 568, 1419, 2404, 609, 7378, 4187, 543, 11326, 1164, 538, 15568, 4006, 267, 568, 849, 5532, 547, 5642, 2530, 543, 5642, 759, 26975, 630, 292, 1186, 2917, 267, 476, 1708, 272, 1916, 306, 13610, 543, 27777, 18576, 454, 15703, 2090, 723, 4448, 1164, 1606, 13610, 267, 1164, 19339, 11326, 547, 606, 2799, 1981, 540, 21404, 269, 13038, 2090, 723, 1336, 513, 4276, 1063, 513, 5375, 2732, 4806, 267, 799, 11148, 547, 581, 2362, 538, 4006, 267, 547, 2362, 3928, 540, 21404, 543, 5642, 18655, 538, 2021, 630, 300, 684, 9926, 8566, 541, 778, 267, 476, 1708, 271, 1916, 1103, 824, 1913, 267, 972, 616, 2789, 2081, 4006, 666, 1764, 5642, 1072, 267, 1818, 621, 606, 1271, 3815, 547, 2015, 950, 12570, 519, 2949, 1981, 585, 3676, 899, 21404, 543, 11560, 13449, 807, 563, 1692, 13518, 17491, 568, 18320, 13518, 888, 6097, 547, 519, 1977, 9839, 5948, 267, 2021, 1058, 3970, 741, 3232, 4006, 6981, 547, 1100, 811, 982, 476, 277, 2600, 540, 2698, 8477, 267, 799, 568, 1472, 476, 1911, 8477, 610, 3670, 18324, 9398, 267, 593, 3328, 269, 1280, 2367, 267, 519, 5227, 3970, 568, 1100, 811, 982, 8370, 18324, 9398, 610, 1472, 476, 5611, 8477, 829, 1554, 630, 288, 11190, 267, 476, 1708, 272, 1916, 763, 26678, 13832, 585, 4892, 4363, 12145, 4006, 547, 1100, 811, 982, 476, 1015, 2600, 540, 2698, 8477, 269, 1280, 2576, 945, 22655, 476, 1220, 271, 8477, 267, 713, 11224, 827, 476, 1220, 8477, 513, 1554, 630, 4785, 6395, 267, 476, 1708, 271, 1916, 292, 2416, 1259, 267, 621, 568, 1271, 547, 581, 13533, 540, 707, 4006, 6981, 543, 1118, 8902, 5079, 547, 2569, 519, 1761, 1764, 593, 707, 5642, 1072, 563, 13349, 17796, 540, 17491, 454, 2791, 666, 1265, 4006, 6456, 538, 782, 5686, 540, 3536, 267, 689, 27156, 547, 10571, 902, 543, 1256, 3694, 269, 1809, 267, 519, 1034, 1455, 2959, 540, 3773, 4006, 538, 519, 2475, 1331, 630, 4785, 6395, 267, 476, 1708, 271, 2187, 268, 17491, 1606, 11548, 2989, 16098, 267, 1519, 7091, 553, 267, 4829, 10425, 267, 543, 1648, 610, 5026, 16098, 563, 268, 15443, 344, 543, 14836, 563, 268, 16505, 9724, 24799, 543, 13063, 563, 268, 21690, 2989, 18506, 543, 5144, 563, 268, 667, 17143, 338, 543, 6653, 16152, 899, 12897, 267, 6960, 625, 267, 14859, 22756, 267, 14735, 267, 610, 4672, 8645, 454, 306, 13610, 10201, 2510, 2334, 3657, 14568, 585, 2659, 645, 2158, 454, 2252, 596, 2811, 3843, 547, 2759, 1394, 593, 4006, 855, 1869, 2648, 513, 2370, 29284, 267, 596, 798, 723, 3681, 269, 21862, 807, 543, 31494, 4829, 616, 2067, 6653, 22211, 602, 723, 1831, 811, 2442, 538, 2487, 1296, 269, 1358, 1039, 513, 6653, 8137, 1510, 1022, 3606, 8477, 610, 1764, 593, 1973, 4006, 2157, 563, 5194, 4781, 568, 547, 946, 2898, 5613, 899, 15708, 267, 7389, 267, 543, 20397, 547, 6923, 6653, 523, 3536, 543, 16098, 269, 1452, 3681, 849, 1683, 3773, 5567, 899, 8324, 267, 6886, 267, 543, 6775, 267, 799, 666, 4324, 5642, 1072, 563, 763, 645, 18847, 7412, 593, 17491, 543, 24942, 2657, 454, 306, 13610, 666, 723, 513, 2942, 1764, 593, 5642, 1072, 952, 10057, 538, 7050, 5666, 269, 8347, 547, 3970, 707, 6981, 540, 3773, 14836, 1247, 1519, 513, 3099, 540, 8770, 11656, 3536, 538, 707, 2732, 269, 1403, 596, 723, 513, 6653, 5694 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 851, 540, 513, 2898, 610, 267, 811, 3622, 267, 1022, 1297, 540, 3160, 2694, 269, 1879, 9275, 538, 4948, 2296, 267, 513, 6824, 6257, 875, 1082, 2694, 540, 513, 1978, 2450, 972, 616, 267, 585, 1383, 267, 835, 28451, 267, 5216, 4429, 281, 2608, 6404, 1003, 1968, 281, 27661, 516, 701, 908, 8918, 589, 18110, 8918, 610, 18596, 8918, 568, 8918, 6041, 540, 513, 1297, 4171, 9704, 616, 13350, 630, 516, 701, 908, 922, 2418, 693, 2834, 11996, 264, 543, 519, 28222, 7368, 6712, 568, 711, 4642, 269, 898, 666, 581, 3254, 602, 513, 1297, 568, 7787, 952, 606, 4429, 6748, 513, 24064, 1529, 636, 281, 2608, 18110, 8918, 1210, 454, 8001, 12330, 589, 31455, 568, 2901, 540, 1079, 7381, 2062, 268, 610, 1394, 1922, 5217, 18685, 7436, 4122, 1031, 547, 20586, 513, 10126, 540, 1257, 610, 1239, 689, 922, 10450, 269, 15380, 18611, 538, 21136, 8424, 267, 606, 1367, 31455, 949, 581, 4857, 607, 513, 1412, 3847, 262, 610, 1412, 337, 4429, 281, 27661, 11666, 4240, 6824, 769, 6128, 267, 513, 4797, 6824, 568, 606, 4082, 5833, 998, 606, 27952, 1184, 540, 8204, 513, 1297, 607, 519, 2040, 540, 922, 8870, 851, 543, 519, 23483, 540, 1776, 1297, 267, 1287, 1603, 713, 824, 1297, 607, 519, 2040, 540, 922, 703, 324, 613, 4429, 6748, 2757, 1462, 2762, 281, 2608, 4797, 6824, 538, 28484, 10035, 281, 2608, 12266, 6824, 281, 2608, 6305, 1379, 17883, 281, 2608, 10839, 10035, 281, 616, 1114, 2081, 547, 2099, 519, 1482, 7787, 1871, 780, 293, 5436, 4070, 692, 763, 7787, 2338, 949, 581, 3710, 607, 454, 3225, 2526, 775, 1362, 769, 6128, 267, 950, 519, 2609, 540, 930, 1305, 590, 723, 513, 10206, 540, 30424, 630, 845, 531, 1242, 607, 606, 30424, 6935, 1070, 1287, 835, 949, 6923, 8237, 519, 1305, 590, 883, 30424, 5049, 269, 1452, 30424, 5049, 616, 9112, 865, 602, 2609, 513, 4429, 525, 540, 454, 23912, 6292, 769, 6128, 267, 606, 10288, 6292, 630, 5257, 320, 262, 3299, 15234, 321, 5257, 264, 568, 513, 6292, 540, 3615, 269, 634, 1931, 538, 799, 519, 3615, 2408, 538, 519, 6292, 568, 1713, 281, 519, 10288, 6292, 630, 5257, 320, 262, 3299, 15234, 321, 5257, 264, 568, 1114, 689, 519, 10288, 6292, 630, 5257, 321, 262, 3299, 15234, 320, 5257, 264, 8259, 15234, 320, 5257, 815, 15234, 321, 5257, 269, 630, 1103, 598, 4429, 338, 540, 454, 15759, 518, 1323, 8870, 568, 519, 1297, 4642, 630, 1070, 513, 2318, 2067, 1297, 630, 267, 2073, 2073, 3092, 4700, 610, 513, 2942, 8870, 609, 513, 14263, 1129, 630, 6629, 272, 267, 6567, 273, 267, 6567, 274, 267, 3092, 12175, 634, 2942, 2338, 616, 519, 19605, 538, 951, 525, 540, 519, 7222, 2318, 2338, 269, 769, 519, 1658, 698, 4429, 338, 269, 2859, 10502, 267, 1577, 581, 519, 1305, 540, 519, 8424, 540, 9981, 971, 1547, 1323, 454, 3225, 2526, 775, 6935, 769, 6128, 267, 606, 30424, 6935, 568, 513, 9352, 6935, 602, 568, 16846, 633, 267, 21136, 543, 1098, 1438, 269, 634, 16491, 3326, 775, 6935, 1063, 1899, 12415, 538, 9511, 568, 513, 1455, 1383, 540, 606, 30424, 6935, 269, 3962, 30424, 6935, 4429, 529, 3989, 593, 713, 1305, 676, 2433, 4399, 3847, 13375, 9852, 318, 272, 267, 562, 318, 272, 1422, 2431, 9368, 264, 1422, 13678, 1422, 3847, 13375, 9852, 318, 273, 267, 562, 318, 273, 1422, 2431, 9368, 264, 1422, 858, 544, 318, 272, 562, 318, 273, 815, 544, 318, 273, 562, 318, 272, 269, 259, 18827, 543, 8691, 666, 581, 3989, 676, 519, 1739, 3652, 281, 2433, 7445, 3847, 13375, 9852, 318, 272, 267, 562, 318, 272, 9368, 9368, 264, 1341, 1422, 3847, 13375, 9852, 318, 273, 267, 562, 318, 273, 9368, 9368, 264, 1422, 25406, 1422, 3847, 13375, 9852, 318, 272, 333, 318, 273, 1341, 562, 318, 272, 332, 318, 273, 267, 562, 318, 272, 333, 318, 273, 9368, 9368, 1070, 259, 2433, 7445, 3847, 13375, 9852, 318, 272, 267, 562, 318, 272, 9368, 9368, 264, 1422, 9392, 1422, 3847, 13375, 9852, 318, 273, 267, 562, 318, 273, 9368, 9368, 264, 1422, 25406, 1422, 3847, 13375, 9852, 318, 272, 332, 318, 273, 267, 562, 318, 272, 333, 318, 273, 9368, 9368, 1040, 259, 901, 30424, 6935, 568, 513, 454, 322, 784, 745, 775, 6935, 769, 7493, 7223, 267, 513, 17602, 775, 6935, 630, 528, 3274, 17602, 775, 264, 568, 606, 30424, 6935, 593, 606, 15821, 2497, 630, 7945, 607, 513, 1895, 267, 8258, 267, 610, 6152, 2230, 264, 602, 568, 15095, 609, 519, 2497, 538, 519, 2631, 602, 15821, 4238, 2944, 18854, 4429, 267, 799, 1797, 602, 621, 568, 15095, 609, 519, 1840, 543, 8691, 3989, 1657, 282, 519, 1305, 540, 7787, 2338, 568, 519, 3989, 607, 519, 454, 638, 582, 1304, 1305, 769, 6128, 267, 950, 519, 2609, 540, 930, 1305, 590, 723, 513, 10206, 540, 30424, 630, 845, 531, 1242, 607, 606, 30424, 6935, 1070, 1287, 835, 949, 6923, 8237, 519, 1305, 590, 883, 30424, 5049, 269, 1452, 30424, 5049, 616, 9112, 865, 602, 2609, 513, 4429, 2421, 713, 30424, 6935, 267, 2073, 9280, 609, 519, 1840, 543, 519, 8691, 13251, 676, 519, 1657, 4238, 269, 630, 1607, 4070, 666, 581, 5645, 856, 609, 1022, 454, 15759, 1537, 6389, 769, 6128, 267, 4481, 7493, 7223, 267, 606, 7533, 6389, 568, 513, 1875, 14706, 862, 32477, 8258, 538, 799, 519, 1587, 540, 1022, 1079, 1875, 14706, 2609, 568, 1875, 14706, 269, 6715, 1537, 11890, 616, 2489, 3074, 540, 519, 8258, 540, 9981, 543, 1683, 513, 2067, 3936, 4429, 663, 7472, 922, 454, 7615, 540, 8454, 769, 7493, 7223, 267, 519, 2361, 540, 8454, 540, 606, 7533, 6389, 568, 519, 10545, 2361, 630, 3901, 24136, 1070, 2361, 538, 799, 621, 666, 581, 2506, 5523, 3429, 267, 11251, 269, 634, 4070, 540, 519, 2361, 540, 8454, 568, 24018, 593, 519, 2078, 1063, 519, 7533, 798, 4429, 4700, 634, 30424, 1362, 540, 513, 6292, 568, 20922, 1547, 5565, 8424, 543, 4866, 547, 519, 1482, 30424, 1362, 630, 7474, 568, 616, 6697, 264, 952, 543, 1152, 952, 1547, 901, 1797, 602, 952, 543, 1152, 1547, 5272, 30424, 1362, 949, 581, 6719, 676, 28222, 1082, 8424, 267, 2094, 2433, 7445, 26984, 815, 1422, 2765, 815, 1422, 2765, 815, 1422, 2765, 815, 1422, 2765, 815, 1422, 26984, 269, 259, 3962, 30424, 1362, 3568, 513, 2189, 15234, 28138, 11347, 3693, 5257, 269, 634, 28138, 11347, 568, 519, 2189, 6292, 538, 519, 30424, 1362, 971, 602, 543, 616, 454, 19817, 31870, 769, 6128, 267, 1079, 9981, 543, 616, 2941, 31870, 267, 5266, 6305, 610, 20102, 6305, 952, 519, 1152, 2318, 8870, 602, 568, 513, 27708, 540, 1312, 540, 873, 568, 476, 272, 269, 9182, 267, 1022, 6305, 1297, 602, 17337, 1281, 711, 7941, 2073, 543, 13030, 17930, 269, 901, 568, 1226, 643, 1446, 4429, 267, 543, 1547, 898, 568, 1572, 519, 6041, 538, 9803, 2474, 540, 519, 7787, 1297, 269, 634, 9981, 949, 581, 2808, 547, 581, 7787, 2338, 7114, 519, 8870, 609, 519, 7787, 1297, 1547, 589, 454, 20135, 1931, 769, 6128, 267, 513, 2698, 610, 5276, 1931, 568, 513, 9864, 1931, 538, 799, 1022, 1079, 2609, 616, 13380, 269, 2334, 568, 267, 513, 2698, 1931, 568, 513, 9352, 6935, 1422, 19008, 593, 930, 1305, 2473, 267, 799, 25389, 519, 1739, 585, 782, 513, 267, 536, 543, 524, 538, 2473, 281, 1948, 513, 1422, 19008, 513, 630, 16846, 633, 264, 4429, 16673, 581, 3989, 593, 519, 7787, 2338, 267, 602, 11498, 519, 2067, 1931, 540, 519, 9981, 269, 2290, 814, 2433, 7445, 2765, 1422, 548, 1422, 2765, 259, 952, 2433, 7445, 3847, 3799, 318, 272, 333, 318, 273, 3436, 476, 271, 1422, 15153, 1422, 3667, 1422, 15153, 544, 318, 272, 333, 318, 273, 1422, 548, 562, 318, 272, 332, 318, 273, 9368, 9385, 29911, 1422, 3667, 315, 29911, 1422, 3847, 3799, 318, 272, 333, 318, 273, 2999, 476, 271, 1422, 15153, 1422, 3667, 1422, 15153, 544, 318, 272, 333, 318, 273, 1422, 613, 562, 318, 272, 332, 318, 273, 9368, 1040, 6911, 19187, 2906, 692, 763, 1305, 540, 782, 7787, 2338, 267, 1927, 609, 519, 1840, 543, 8691, 4238, 3254, 1657, 267, 3029, 513, 2361, 269, 814, 1100, 454, 7615, 3678, 6973, 1143, 769, 6128, 267, 606, 3678, 6973, 1143, 568, 606, 568, 31532, 689, 513, 6310, 1843, 547, 3294, 269, 898, 568, 267, 538, 930, 2631, 267, 513, 15340, 540, 519, 1843, 267, 543, 513, 1259, 540, 11837, 519, 1843, 547, 3294, 1247, 8497, 782, 540, 922, 2497, 269, 634, 1305, 540, 782, 3678, 6973, 3359, 4429, 1278, 982, 519, 3961, 269, 630, 288, 2361, 3678, 2684, 1143, 1590, 4368, 476, 271, 543, 476, 272, 282, 607, 621, 1590, 4368, 519, 2040, 543, 519, 3017, 540, 1079, 6378, 2609, 267, 621, 1590, 4368, 1169, 8870, 282, 607, 621, 1590, 4368, 519, 23479, 540, 1079, 6378, 2609, 267, 621, 1590, 4368, 1169, 7787, 1297, 267, 543, 568, 3976, 519, 3961, 4700, 568, 513, 454, 18905, 2361, 769, 6128, 267, 519, 8984, 540, 513, 8258, 2073, 1419, 20922, 2073, 568, 3989, 547, 581, 519, 10545, 1297, 540, 2053, 835, 1590, 946, 519, 8258, 781, 3818, 2364, 894, 3961, 630, 272, 264, 538, 513, 2040, 547, 1205, 519, 19605, 3961, 630, 271, 1040, 1403, 713, 2040, 2760, 10301, 519, 19605, 7329, 523, 4429, 267, 799, 568, 513, 2361, 602, 814, 1100, 1016, 7615, 824, 982, 3294, 269, 634, 32311, 1023, 616, 519, 10545, 2361, 609, 8984, 4642, 269, 5272, 2361, 540, 8984, 4642, 3568, 513, 2189, 1016, 7615, 568, 25806, 547, 1547, 2060, 519, 1931, 3989, 1657, 267, 568, 606, 454, 23912, 2361, 769, 6128, 267, 606, 10288, 2361, 568, 513, 2361, 1927, 609, 513, 2698, 19280, 540, 922, 2609, 602, 568, 15095, 609, 519, 2361, 4238, 269, 634, 2596, 1383, 540, 606, 10288, 2361, 568, 519, 2361, 540, 1483, 2338, 267, 543, 1169, 667, 539, 2131, 785, 10687, 10968, 10288, 535, 773, 4429, 7474, 814, 1100, 1016, 7615, 824, 982, 3294, 267, 543, 568, 519, 10545, 10288, 2361, 267, 538, 519, 2631, 602, 1169, 10288, 2361, 3568, 513, 2189, 1016, 7615, 454, 529, 25806, 769, 6128, 267, 606, 568, 31532, 568, 513, 2497, 25535, 6326, 11837, 1063, 1079, 3889, 540, 519, 1482, 1826, 602, 666, 581, 20328, 676, 606, 11201, 11837, 269, 5565, 6310, 3889, 616, 568, 25806, 952, 606, 568, 31532, 6818, 1063, 873, 269, 634, 2262, 568, 334, 4429, 1729, 1547, 568, 519, 454, 7615, 540, 8454, 769, 7493, 7223, 267, 519, 2361, 540, 8454, 540, 606, 7533, 6389, 568, 519, 10545, 2361, 630, 3901, 24136, 1070, 2361, 538, 799, 621, 666, 581, 2506, 5523, 3429, 267, 11251, 269, 634, 4070, 540, 519, 2361, 540, 8454, 568, 24018, 593, 519, 2078, 1063, 519, 7533, 798, 4429, 1993, 519, 454, 15759, 518, 1323, 8870, 568, 519, 1297, 4642, 630, 1070, 513, 2318, 2067, 1297, 630, 267, 2073, 2073, 3092, 4700, 610, 513, 2942, 8870, 609, 513, 14263, 1129, 630, 6629, 272, 267, 6567, 273, 267, 6567, 274, 267, 3092, 12175, 634, 2942, 2338, 616, 519, 19605, 538, 951, 525, 540, 519, 7222, 2318, 2338, 269, 769, 519, 1658, 698, 4429, 338, 1547, 634, 15821, 19479, 540, 2073, 1775, 4318, 269, 519, 2361, 540, 5072, 540, 7787, 21335, 267, 568, 519, 2361, 540, 454, 531, 5040, 545, 1297, 1323, 15821, 1297, 568, 513, 1297, 602, 568, 513, 3597, 540, 513, 1875, 25179, 9971, 538, 835, 4756, 609, 8870, 630, 528, 267, 5973, 1836, 267, 7787, 264, 14170, 269, 1280, 1383, 267, 519, 11344, 5223, 267, 630, 272, 1341, 1422, 6912, 8358, 273, 267, 568, 606, 15821, 1297, 267, 1317, 621, 568, 513, 3597, 540, 519, 1093, 4429, 338, 269, 634, 32311, 1023, 616, 513, 29822, 10288, 1305, 281, 1063, 1022, 1079, 32311, 1023, 267, 972, 18795, 1776, 835, 267, 543, 267, 4061, 267, 28222, 1082, 824, 3283, 269, 1280, 1383, 267, 585, 1022, 1079, 8454, 971, 602, 2433, 7445, 2765, 2999, 1422, 2765, 259, 630, 3602, 1269, 321, 28504, 259, 616, 2318, 1070, 649, 723, 2433, 7445, 2765, 2999, 1422, 2765, 2999, 1422, 2765, 269, 259, 7102, 454, 339, 582, 958, 10288, 769, 6128, 267, 513, 2698, 610, 5276, 1931, 568, 513, 9864, 1931, 538, 799, 1022, 1079, 2609, 616, 13380, 269, 2334, 568, 267, 513, 2698, 1931, 568, 513, 9352, 6935, 1422, 19008, 593, 930, 1305, 2473, 267, 799, 25389, 519, 1739, 585, 782, 513, 267, 536, 543, 524, 538, 2473, 281, 1948, 513, 1422, 19008, 513, 630, 16846, 643, 4429, 3553, 799, 568, 1293 ]

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

[ 273, 315, 541, 551, 534, 7268, 27923, 22491, 5475, 5187, 2305, 713, 3947, 721, 692, 7445, 6234, 1422, 842, 315, 7562, 7268, 12534, 12978, 9385, 15238, 7268, 7562, 7268, 12534, 12978, 4297, 323, 315, 12534, 12978, 315, 1478, 1962, 513, 576, 3189, 14090, 560, 334, 23685, 12534, 12978, 284, 273, 315, 541, 551, 534, 7268, 27923, 264, 4153, 842, 21702, 346, 273, 315, 335, 23313, 2410, 272, 10954, 27923, 317, 273, 4153, 15238, 13375, 7268, 2765, 346, 273, 315, 27923, 2410, 272, 10954, 27923, 317, 273, 4153, 2431, 3738, 315, 2765, 346, 273, 2410, 272, 10954, 27923, 317, 273, 348, 323, 315, 27923, 6911, 1607, 5654, 2186, 540, 30255, 855, 568, 660, 1932, 3983, 1862, 4777, 782, 519, 3768, 821, 960, 1862, 11004, 568, 707, 7533, 692, 275, 269, 594, 1589, 621, 666, 581, 17223, 23182, 10484, 7445, 6234, 1422, 842, 3189, 15238, 630, 343, 9385, 2117, 7562, 1535, 20867, 11459, 18098, 842, 18950, 343, 315, 15238, 1535, 14870, 264, 262, 315, 2117, 7562, 1535, 20867, 11459, 9574, 259, 8754, 519, 7533, 11224, 4399, 6234, 1535, 7268, 15238, 1535, 268, 272, 9385, 2117, 7562, 1535, 10559, 842, 3189, 2765, 12757, 315, 15238, 1535, 14870, 7346, 6912, 346, 272, 14870, 3867, 273, 3686, 4153, 267, 11459, 20467, 259, 3767, 835, 1152, 30128, 827, 4399, 6234, 1422, 842, 21702, 12757, 315, 15238, 1535, 7346, 6912, 346, 272, 14870, 317, 273, 14990, 267, 11459, 267, 259, 8754, 267, 798, 519, 9864, 5610, 543, 649, 1205, 10484, 7445, 6234, 1422, 842, 3189, 2765, 12757, 315, 15238, 1535, 7346, 6912, 346, 272, 14870, 3867, 273, 3686, 4153, 267, 11459, 13157, 10559, 842, 3189, 3847, 263, 1422, 6912, 346, 272, 14870, 3867, 273, 3686, 1422, 2431, 264, 262, 315, 15238, 1535, 20867, 11459, 13157, 10559, 3847, 263, 1422, 6912, 346, 272, 14870, 3867, 273, 14990, 15238, 1535, 10559, 842, 3189, 2765, 3189, 6912, 346, 272, 14870, 3867, 273, 3686, 2410, 343, 4153, 267, 11459, 348, 1422, 2431, 1070, 6911, 3602, 519, 2063, 7533, 568, 10026, 269, 0, 258, 634, 1871, 540, 16009, 263, 1700, 28147, 4113, 264, 568, 2433, 288, 269, 476, 272, 289, 269, 1107, 272, 290, 269, 3980, 508, 291, 269, 476, 271, 692, 10403, 6657, 2060, 4530, 1504, 631, 1442, 18873, 692, 1012, 18169, 1384, 272, 269, 667, 692, 273, 269, 645, 692, 274, 269, 589, 692, 275, 269, 595, 692, 2162, 22043, 8382, 281, 26840, 476, 273, 630, 11405, 12989, 2020, 1607, 2243, 729, 5892, 4280, 538, 692, 301, 9143, 290, 570, 1512, 594, 630, 13900, 323, 2201, 281, 476, 3066, 3057, 476, 1001, 277, 29196, 476, 274, 2020, 1012, 8827, 1384, 13528, 3121, 1384, 11927, 263, 1700, 395, 368, 264, 815, 1107, 16009, 6543, 368, 543, 1109, 11927, 630, 11740, 4113, 1341, 6543, 368, 264, 815, 16009, 6543, 368, 692, 30043, 16009, 263, 1700, 28147, 4113, 264, 815, 1107, 16009, 476, 28147, 4113, 815, 1107, 16009, 263, 11740, 4113, 1341, 476, 3393, 4113, 264, 815, 1107, 16009, 476, 3393, 4113, 815, 1107, 476, 272 ]

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

[ 28299, 667, 17152, 1299, 3794, 1601, 2456, 454, 763, 1670, 543, 11096, 28441, 22335, 543, 9218, 454, 8002, 3351, 23540, 9502, 689, 15610, 667, 17152, 1299, 3794, 1601, 2456, 454, 310, 7364, 2296, 910, 634, 5131, 15610, 454, 8002, 7780, 4106, 31791, 568, 513, 3351, 9107, 3069, 540, 7881, 799, 2829, 602, 267, 950, 5185, 609, 513, 3903, 267, 649, 1590, 1101, 2015, 519, 2693, 4539, 540, 1761, 3527, 543, 267, 689, 602, 267, 3442, 547, 798, 1018, 649, 3494, 786, 5352, 519, 1034, 12257, 269, 2920, 3351, 23540, 568, 10353, 547, 4341, 3351, 23540, 267, 799, 2829, 602, 519, 25432, 1318, 2962, 568, 519, 835, 602, 568, 538, 13076, 609, 513, 5837, 4341, 4171, 2489, 2616, 766, 1131, 1711, 519, 1034, 8788, 269, 2920, 3351, 23540, 786, 946, 519, 5758, 1523, 607, 10353, 547, 519, 2259, 1523, 269, 634, 5758, 1523, 1797, 602, 519, 4341, 568, 513, 31633, 602, 513, 1362, 540, 3527, 267, 971, 607, 519, 5329, 540, 14767, 267, 568, 1434, 563, 347, 8450, 811, 693, 9504, 3820, 1862, 347, 0, 2252, 596, 4076, 1044, 3168, 585, 930, 1164, 1532, 992, 2081, 540, 29405, 532, 824, 4654, 630, 663, 267, 1577, 779, 3068, 621, 267, 596, 2461, 2864, 1164, 1532, 992, 1107, 610, 3274, 2879, 984, 2421, 1107, 952, 596, 4076, 6410, 3564, 3274, 29405, 532, 1004, 547, 29405, 532, 519, 1893, 540, 1767, 1004, 2507, 11779, 540, 1070, 1287, 3627, 21582, 534, 779, 12708, 626, 4112, 534, 725, 568, 519, 1747, 547, 1265, 930, 3903, 2453, 1210, 519, 4542, 968, 23458, 2473, 568, 9247, 1893, 962, 896, 2175, 2098, 3034, 6826, 596, 513, 18373, 29405, 532, 513, 9527, 324, 267, 606, 2296, 2006, 29405, 532, 606, 1977, 610, 3943, 543, 29405, 532, 267, 1134, 267, 4896, 267, 596, 2461, 2386, 547, 1265, 1945, 16798, 547, 1055, 754, 563, 12218, 673, 5824, 568, 9247, 606, 5841, 1893, 25282, 547, 1118, 519, 5175, 3258, 4936, 18211, 7100, 3280, 10995, 563, 1700, 297, 32667, 632, 3288, 28266, 454, 295, 1177, 2967, 1014, 568, 513, 23013, 540, 24414, 609, 513, 4250, 540, 19283, 1218, 563, 28049, 568, 1018, 5949, 950, 7720, 832, 6836, 547, 1451, 5824, 543, 1767, 968, 338, 920, 342, 621, 3034, 23389, 568, 9247, 513, 1893, 2919, 676, 513, 1895, 540, 1855, 583, 976, 945, 10356, 538, 519, 4104, 835, 1554, 547, 2097, 909, 609, 513, 1893, 602, 741, 14763, 1131, 723, 1100, 4960, 540, 30230, 4771, 563, 306, 14954, 880, 568, 1018, 5949, 950, 513, 29735, 18702, 1004, 3893, 14220, 693, 782, 519, 824, 29735, 18702, 9082, 543, 4956, 547, 22393, 7369, 741, 1893, 547, 1118, 621, 1413, 811, 4436, 563, 1700, 30681, 24497, 333, 681, 817, 332, 1380, 523, 454, 13563, 2296, 568, 9247, 2296, 1310, 2348, 1044, 530, 21317, 1055, 609, 513, 18660, 26703, 563, 20124, 5491, 281, 674, 582, 16288, 12041, 593, 5616, 266, 0, 293, 1752, 4578, 22490, 585, 2422, 540, 519, 717, 15665, 16257, 454, 19013, 267, 519, 5763, 540, 1344, 4330, 1657, 1419, 1714, 26360, 519, 19995, 945, 1590, 1118, 513, 3375, 827, 519, 7293, 8699, 540, 513, 2679, 269, 898, 568, 519, 3804, 540, 713, 1788, 547, 1683, 519, 1797, 585, 606, 11653, 547, 946, 519, 1699, 21249, 3652, 547, 1118, 606, 5483, 3375, 827, 1450, 762, 1374, 2418, 585, 3574, 2818, 538, 8978, 5656, 269, 589, 2241, 13214, 2861, 3574, 21249, 6538, 267, 5219, 547, 607, 519, 3574, 21249, 1982, 267, 729, 2919, 538, 1931, 547, 1683, 8030, 609, 519, 2645, 2556, 547, 2932, 513, 2596, 3574, 21249, 4879, 585, 4626, 1499, 1369, 8978, 3889, 269, 1677, 14458, 519, 2361, 1239, 2838, 607, 3403, 585, 519, 1982, 267, 1152, 519, 3574, 2249, 267, 4759, 11098, 267, 543, 8700, 540, 519, 7293, 2609, 538, 2243, 991, 547, 581, 5462, 563, 298, 333, 1824, 543, 9386, 540, 10286, 616, 519, 1034, 1455, 543, 1034, 12145, 540, 29421, 12889, 630, 290, 571, 1067, 1696, 620, 1421, 476, 1960, 277, 1040, 4475, 267, 519, 21249, 1982, 3096, 1175, 891, 1079, 2188, 547, 3313, 3617, 3446, 25084, 585, 835, 540, 2947, 3574, 2249, 269, 13405, 547, 13345, 540, 519, 3574, 21249, 1982, 267, 4061, 267, 513, 2347, 3574, 2783, 4879, 1058, 581, 5342, 547, 3313, 519, 4527, 543, 5924, 4644, 540, 1022, 824, 3446, 29438, 1746, 12889, 563, 2414, 3313, 519, 3617, 2249, 267, 513, 3732, 540, 1142, 1826, 540, 7293, 4759, 896, 7156, 585, 519, 21249, 7014, 1590, 581, 6569, 543, 2366, 585, 2079, 269, 13575, 267, 519, 1482, 3574, 2249, 568, 1031, 585, 9838, 25194, 2818, 971, 607, 3675, 1235, 610, 986, 1123, 338, 267, 2705, 267, 2249, 949, 4268, 1063, 25194, 4759, 2516, 630, 324, 3052, 269, 519, 986, 1123, 338, 949, 581, 7013, 5835, 12566, 267, 855, 519, 3675, 1235, 949, 581, 9456, 3043, 12566, 1040, 27842, 666, 581, 2366, 547, 513, 1297, 540, 4357, 29801, 585, 513, 13927, 610, 547, 513, 1857, 610, 2229, 9872, 971, 607, 519, 772, 2529, 269, 11206, 15733, 12524, 4741, 585, 8381, 22845, 3194, 602, 666, 1683, 2249, 2079, 1863, 540, 5279, 563, 306, 3263, 1058, 581, 3144, 689, 3280, 3574, 543, 1058, 2268, 513, 5934, 540, 476, 26528, 20878, 2647, 1535, 476, 26528, 20878, 2620, 1535, 476, 16006, 20878, 1279, 269, 634, 3280, 1145, 540, 519, 3574, 3732, 666, 581, 5462, 676, 12902, 621, 1063, 519, 11263, 282, 952, 519, 3574, 9397, 6306, 267, 621, 1058, 711, 581, 11643, 543, 513, 1007, 3732, 786, 991, 547, 581, 3144, 269, 1677, 1349, 513, 3732, 267, 946, 513, 8325, 17180, 267, 4739, 4718, 16405, 267, 543, 5924, 513, 669, 529, 601, 547, 1118, 1079, 11912, 2066, 519, 10286, 540, 519, 3693, 269, 1452, 1079, 11912, 1058, 581, 513, 5934, 540, 476, 274, 270, 1626, 20878, 2620, 543, 476, 16006, 20878, 6306, 269, 589, 19494, 666, 581, 8237, 856, 676, 533, 11538, 909, 693, 835, 540, 519, 1651, 2213, 2798, 609, 513, 17180, 267, 610, 952, 513, 669, 529, 601, 568, 1031, 267, 519, 6316, 540, 519, 669, 529, 601, 666, 581, 5116, 538, 835, 540, 519, 11912, 543, 1287, 2587, 1194, 1524, 519, 10286, 2509, 519, 824, 2759, 269, 589, 8325, 7148, 609, 513, 1507, 17200, 1058, 1683, 2614, 3196, 547, 4894, 513, 1434, 19494, 689, 519, 3574, 4759, 269, 2353, 5439, 1058, 581, 3144, 689, 606, 14455, 30679, 6681, 5544, 593, 1142, 3574, 4759, 267, 543, 5116, 1369, 513, 13042, 9126, 585, 6111, 269, 898, 1058, 581, 7074, 602, 513, 3099, 540, 2249, 666, 581, 1031, 1369, 513, 2582, 2679, 267, 865, 693, 2547, 835, 3732, 1058, 581, 3144, 585, 1169, 7293, 4759, 1826, 630, 571, 1123, 338, 267, 3675, 1235, 267, 9587, 267, 3092, 4700, 896, 7156, 585, 3498, 540, 519, 3574, 21249, 7014, 563, 298, 333, 1824, 543, 4256, 20970, 454, 298, 333, 1824, 616, 3622, 2808, 519, 1034, 1713, 540, 519, 3875, 4222, 268, 12145, 12889, 9648, 538, 29421, 269, 8422, 2101, 4222, 3146, 706, 1424, 2360, 8451, 689, 519, 4527, 540, 513, 24516, 281, 851, 540, 519, 4604, 3444, 16687, 568, 4389, 607, 9875, 267, 16437, 518, 267, 855, 1785, 12147, 21260, 24516, 6229, 3217, 519, 1747, 540, 519, 2834, 3574, 11103, 282, 513, 2566, 5834, 543, 7766, 5786, 538, 4390, 568, 13251, 676, 519, 1570, 11375, 558, 23189, 540, 519, 24516, 11303, 676, 519, 1964, 540, 519, 4604, 267, 543, 2063, 569, 267, 519, 2208, 4806, 540, 519, 17657, 568, 22314, 676, 519, 7936, 4929, 519, 24516, 267, 799, 2164, 538, 9645, 23673, 540, 519, 10286, 5086, 1472, 519, 24516, 630, 290, 571, 1067, 1696, 620, 1421, 476, 1960, 277, 1040, 901, 10286, 5086, 23673, 666, 1450, 585, 519, 1646, 540, 28995, 17613, 13902, 547, 519, 10286, 543, 519, 5250, 540, 11974, 543, 29370, 847, 999, 607, 519, 3574, 1743, 625, 630, 290, 571, 1067, 1696, 620, 1421, 476, 1960, 277, 1916, 763, 4087, 540, 519, 24516, 814, 606, 1764, 593, 4759, 4222, 269, 4475, 267, 1369, 519, 21249, 1982, 616, 1614, 24516, 2450, 7687, 585, 25418, 1759, 593, 519, 4087, 540, 519, 24516, 269, 4741, 1467, 25418, 593, 519, 2647, 3068, 540, 606, 3693, 723, 519, 2547, 1764, 593, 3446, 543, 4061, 723, 519, 4102, 1450, 762, 24516, 2450, 269, 22750, 25418, 593, 519, 2647, 3068, 3622, 2333, 22297, 28995, 17613, 267, 543, 4061, 723, 4130, 24516, 2450, 7687, 269, 634, 1482, 6585, 3020, 585, 25418, 593, 519, 7522, 3068, 540, 606, 3693, 269, 1280, 930, 4130, 2609, 630, 273, 547, 476, 275, 6279, 538, 11098, 1070, 25418, 593, 519, 7522, 3068, 616, 2808, 547, 581, 9838, 547, 6316, 25418, 593, 519, 2647, 3068, 269, 2755, 519, 4087, 540, 513, 24516, 2059, 519, 3259, 540, 513, 19755, 4759, 630, 5976, 514, 519, 1647, 3791, 540, 519, 3259, 610, 538, 519, 9018, 1079, 22188, 264, 849, 5540, 519, 2773, 540, 513, 11237, 267, 713, 729, 711, 3144, 883, 2272, 547, 1683, 513, 1377, 540, 16134, 547, 519, 2361, 7403, 269, 901, 2164, 538, 513, 15061, 20159, 593, 24516, 2450, 585, 519, 9018, 3791, 540, 20832, 563, 763, 6482, 540, 25418, 9775, 4470, 2390, 519, 2249, 267, 2450, 543, 1599, 540, 519, 3693, 5627, 519, 24516, 269, 1280, 1383, 267, 24516, 6482, 593, 9587, 896, 30212, 13907, 568, 1114, 982, 24516, 6482, 593, 20832, 543, 3675, 1235, 538, 19755, 269, 634, 1739, 32461, 543, 5515, 1683, 513, 23988, 585, 519, 1114, 2409, 540, 24516, 6482, 563, 5804, 5375, 700, 3784, 717, 15665, 16390, 476, 4962, 630, 310, 3480, 28418, 8605, 5948, 267, 476, 1220, 276, 267, 1031, 21806, 540, 5375, 8381, 15733, 2667, 333, 269, 2187, 1103, 782, 13368, 532, 29421, 476, 275, 892, 543, 1447, 538, 11098, 267, 519, 2450, 540, 513, 24516, 593, 513, 2647, 3068, 568, 5462, 676, 922, 3328, 10155, 607, 538, 513, 1899, 2066, 519, 8700, 540, 519, 4062, 269, 634, 2450, 540, 25418, 593, 2647, 8188, 6148, 2799, 8167, 2299, 689, 519, 2450, 15868, 693, 519, 6316, 547, 519, 2450, 15868, 693, 519, 4099, 1467, 269, 12928, 1824, 17729, 593, 7522, 8188, 616, 3908, 547, 519, 1482, 12761, 607, 25418, 9138, 693, 8728, 540, 2647, 8188, 269, 12928, 1824, 538, 2142, 753, 543, 21642, 619, 543, 5403, 543, 7033, 1499, 616, 6027, 8335, 982, 25418, 538, 476, 275, 892, 543, 25182, 1570, 269, 6201, 540, 891, 6482, 2409, 616, 3254, 538, 590, 30708, 476, 18891, 269, 876, 543, 476, 22659, 269, 876, 454, 14106, 1043, 25418, 593, 29421, 610, 4626, 1499, 666, 581, 6027, 1210, 606, 21449, 622, 6656, 609, 513, 476, 16006, 20878, 7470, 547, 7520, 6482, 630, 8201, 476, 276, 1040, 1306, 3254, 538, 7612, 476, 273, 267, 585, 7293, 3675, 1235, 543, 1544, 802, 267, 519, 2450, 540, 513, 24516, 593, 519, 2647, 3068, 568, 5462, 676, 7893, 519, 24516, 2450, 593, 1312, 2647, 8188, 543, 12719, 519, 3328, 24516, 2450, 998, 519, 4062, 269, 12928, 1824, 593, 519, 7522, 3068, 616, 12290, 538, 513, 2147, 6752, 607, 6316, 25418, 593, 519, 2647, 3068, 543, 616, 6027, 609, 519, 21449, 622, 7470, 6252, 547, 519, 1279, 7852, 540, 519, 4062, 269, 12928, 1824, 593, 3677, 2818, 616, 6027, 8335, 267, 607, 3254, 538, 22955, 476, 274, 543, 476, 275, 563, 2690, 7293, 3675, 1235, 543, 1544, 802, 267, 543, 20832, 543, 5569, 619, 267, 519, 7470, 1058, 581, 5116, 6252, 547, 519, 6316, 540, 519, 16025, 543, 519, 24516, 10155, 6027, 6252, 547, 519, 1279, 7852, 540, 519, 16025, 269, 1280, 9708, 543, 4626, 1499, 267, 519, 7470, 1058, 581, 13988, 2066, 519, 7522, 652, 3068, 540, 519, 24516, 543, 1058, 581, 6027, 1063, 6252, 3515, 6316, 547, 6316, 267, 689, 519, 1034, 3982, 1448, 540, 10286, 11539, 269, 769, 824, 1913, 267, 519, 21449, 622, 7470, 949, 711, 581, 6252, 547, 519, 6316, 540, 9708, 543, 4626, 1499, 607, 621, 568, 585, 20832, 543, 5569, 619, 563, 30999, 31531, 267, 519, 24516, 267, 799, 568, 519, 20276, 656, 540, 513, 3529, 7936, 267, 814, 513, 1360, 3982, 10465, 267, 855, 713, 568, 3335, 711, 519, 2013, 267, 543, 519, 6482, 568, 16148, 269, 5221, 540, 519, 6109, 1145, 540, 25418, 630, 16746, 547, 16437, 518, 3574, 982, 602, 4478, 519, 24516, 1070, 11186, 15018, 540, 10053, 24516, 6229, 1419, 3123, 25418, 547, 1831, 6659, 689, 519, 3339, 2627, 540, 513, 16025, 282, 8754, 267, 25418, 593, 13556, 4626, 1499, 1419, 968, 974, 25393, 892, 998, 519, 13556, 7252, 543, 616, 7298, 585, 6482, 269, 4746, 267, 24293, 11974, 949, 581, 3730, 538, 10747, 519, 24516, 10465, 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 ]