Datasets:
SmallDoge
/
stable_dataset_processed

Dataset card Data Studio Files
xet
Community
Search is not available for this dataset
input_ids
sequencelengths
1
2.05k
attention_mask
sequencelengths
1
2.05k
[ 0, 18183, 12787, 1063, 519, 7569, 540, 6735, 543, 519, 2115, 540, 519, 7504, 814, 1044, 4857, 607, 513, 1883, 10304, 4161, 538, 1226, 652, 6929, 7328, 563, 763, 1158, 12044, 1560, 585, 1226, 652, 6929, 5026, 267, 519, 30264, 296, 267, 568, 2312, 602, 519, 10304, 540, 519, 7504, 568, 14063, 543, 1590, 2760, 1491, 2034, 1747, 547, 8013, 610, 5010, 7506, 269, 1717, 267, 972, 568, 3395, 11552, 848, 827, 10304, 2152, 689, 1312, 1369, 543, 3544, 519, 7328, 563, 12867, 538, 6628, 267, 538, 513, 1353, 1175, 3370, 538, 519, 4760, 12292, 267, 1305, 856, 547, 1174, 30393, 11994, 540, 1699, 10304, 2152, 1369, 1226, 652, 6929, 7328, 267, 3313, 2436, 972, 568, 9165, 585, 1689, 267, 543, 2263, 8456, 2509, 10304, 4879, 563, 5445, 15504, 1927, 476, 4366, 5171, 2443, 476, 4343, 689, 1226, 652, 6929, 7328, 543, 476, 1015, 945, 5249, 538, 3662, 10304, 1382, 2443, 585, 513, 13186, 602, 3769, 10304, 5829, 14245, 543, 1445, 1895, 7886, 563, 763, 3670, 1445, 2516, 16922, 2185, 1226, 652, 6929, 9015, 10391, 2516, 630, 17484, 4269, 267, 8058, 329, 18804, 267, 667, 816, 720, 543, 7926, 532, 1070, 835, 6404, 1226, 652, 6929, 5026, 1895, 630, 1721, 824, 1226, 652, 6929, 10459, 1519, 17040, 267, 7262, 14964, 543, 1135, 334, 1070, 543, 835, 1895, 540, 10304, 22812, 14142, 5234, 563, 763, 4589, 7074, 602, 3621, 3206, 827, 1018, 10304, 4564, 814, 4359, 3648, 538, 2487, 1296, 267, 609, 6211, 8647, 267, 513, 2067, 6197, 267, 4205, 609, 3425, 543, 519, 3662, 779, 25739, 2790, 1533, 782, 16363, 1271, 563, 26046, 540, 5717, 1369, 519, 1445, 2516, 7000, 602, 519, 5171, 6956, 519, 4655, 602, 21256, 1063, 6735, 7569, 543, 519, 2115, 540, 519, 7504, 267, 13156, 621, 607, 513, 3844, 10304, 4161, 563, 307, 600, 345, 514, 674, 4669, 5964, 543, 1200, 8284, 3173, 1336, 602, 4352, 519, 2168, 1072, 540, 1226, 710, 9845, 568, 5702, 16913, 267, 519, 9640, 685, 5626, 2115, 616, 3006, 15763, 563, 2108, 27396, 1218, 18931, 602, 5355, 6735, 2853, 949, 711, 581, 607, 26374, 607, 5355, 519, 2489, 2359, 543, 2866, 540, 9640, 2223, 519, 1353, 2319, 4080, 563, 763, 5171, 9053, 519, 2165, 968, 638, 1275, 540, 1272, 892, 547, 968, 342, 9175, 5608, 799, 789, 5433, 1185, 2942, 25664, 725, 563, 2108, 27396, 1218, 15874, 519, 2856, 540, 6220, 6101, 10304, 10526, 883, 741, 2866, 543, 6735, 4566, 855, 7150, 602, 4540, 2645, 616, 10355, 1031, 543, 616, 711, 16363, 15164, 585, 1483, 3734, 2175, 2223, 674, 4669, 5964, 543, 1200, 9164, 4080, 563, 27026, 2818, 2808, 519, 5817, 2152, 7133, 7328, 7504, 10304, 547, 581, 17618, 2147, 2066, 1226, 652, 6929, 5026, 563, 763, 1445, 1895, 1239, 5693, 4330, 875, 519, 9687, 8226, 540, 9640, 685, 2115, 568, 3056, 547, 513, 1689, 538, 519, 1259, 538, 799, 930, 8639, 2070, 1226, 652, 6929, 7328, 267, 543, 602, 713, 949, 1764, 6848, 10343, 543, 519, 1514, 6132, 775, 547, 7500, 563, 22154, 4655, 729, 4330, 607, 1034, 7805, 950, 519, 7504, 729, 851, 540, 513, 5010, 1226, 710, 1870, 267, 607, 568, 1419, 519, 2013, 585, 6735, 9640, 945, 949, 581, 26870, 267, 8036, 267, 2841, 539, 543, 25374, 585, 607, 21113, 676, 513, 1950, 3060, 540, 8639, 3034, 2691, 9640, 616, 3812, 607, 851, 540, 513, 3318, 1062, 267, 5171, 5433, 602, 972, 568, 3006, 513, 991, 547, 7903, 9640, 9875, 267, 610, 811, 3533, 267, 982, 1522, 6382, 581, 4998, 267, 585, 1383, 267, 547, 5965, 873, 585, 1762, 7504, 5049, 267, 610, 950, 3001, 909, 547, 2362, 2157, 540, 12721, 563, 2026, 835, 10571, 720, 31115, 29499, 281, 968, 2171, 782, 3442, 938, 1378, 1899, 267, 875, 2484, 649, 2461, 5423, 547, 7903, 269, 898, 779, 11212, 1271, 649, 917, 950, 547, 3247, 3034, 763, 1950, 3060, 540, 7569, 1472, 6735, 9640, 729, 9228, 547, 1267, 538, 2604, 593, 519, 9640, 2933, 267, 3056, 547, 267, 585, 1383, 267, 9640, 1373, 14593, 883, 6735, 1354, 789, 616, 4712, 563, 2108, 27396, 1218, 4330, 2933, 607, 17596, 547, 3717, 909, 543, 581, 519, 2048, 341, 4069, 685, 585, 519, 7504, 267, 17548, 602, 621, 568, 741, 2816, 547, 2149, 9640, 689, 519, 7569, 540, 6735, 676, 1818, 1367, 3664, 827, 1018, 789, 1589, 568, 267, 610, 568, 711, 267, 11807, 585, 1142, 7504, 3034, 30696, 1895, 2818, 4330, 606, 7915, 2631, 540, 5539, 1472, 5473, 1875, 25993, 2831, 538, 1480, 5026, 563, 2108, 13420, 652, 6929, 5026, 616, 12926, 3710, 593, 519, 13429, 602, 9640, 616, 931, 839, 783, 4891, 538, 23242, 10459, 267, 855, 5171, 538, 519, 1445, 2516, 18931, 602, 972, 949, 581, 4655, 1063, 1480, 543, 1226, 710, 5079, 3823, 7589, 2223, 519, 4589, 7074, 454, 3080, 16045, 538, 519, 10304, 22812, 14142, 1445, 1895, 4330, 519, 4901, 1472, 519, 3390, 607, 2295, 2287, 269, 968, 296, 1589, 621, 568, 1271, 649, 1491, 519, 7504, 779, 7375, 883, 2272, 2223, 789, 1767, 267, 968, 8117, 972, 779, 513, 1981, 519, 9640, 1131, 2161, 1100, 269, 769, 2474, 540, 1514, 6132, 775, 267, 6148, 602, 779, 606, 1271, 4901, 547, 723, 3034, 763, 2070, 602, 519, 5626, 1072, 540, 7328, 9640, 568, 606, 1858, 540, 1713, 10304, 6161, 729, 5941, 2066, 2516, 563, 307, 9506, 547, 519, 1514, 6132, 775, 547, 7500, 267, 5171, 5433, 621, 729, 13857, 8335, 4470, 593, 519, 5304, 269, 3509, 1226, 652, 6929, 5026, 3068, 2604, 689, 1369, 519, 1226, 652, 6929, 2146, 2864, 982, 689, 519, 2489, 1857, 269, 898, 729, 5433, 602, 267, 1247, 519, 1857, 814, 5784, 593, 1018, 568, 610, 568, 711, 11807, 267, 1346, 5784, 616, 711, 2141, 11347, 540, 519, 1919, 602, 616, 968, 9418, 892, 2152, 538, 1142, 7328, 563, 3080, 16045, 538, 519, 6404, 1895, 29499, 281, 968, 763, 1919, 5018, 538, 824, 10459, 2443, 627, 2354, 267, 838, 2720, 267, 9395, 9224, 27512, 2443, 891, 941, 782, 1919, 2938, 538, 519, 1857, 3750, 602, 2097, 547, 519, 3007, 540, 519, 1857, 607, 4191, 540, 2942, 10304, 543, 1247, 1318, 569, 865, 267, 621, 3592, 3217, 519, 30425, 1055, 519, 824, 476, 2537, 3108, 540, 519, 7504, 779, 2729, 543, 875, 789, 616, 1373, 7307, 519, 1964, 540, 519, 942, 950, 789, 616, 711, 538, 519, 1857, 3750, 3034, 27396, 1218, 3622, 17019, 519, 9645, 3356, 1500, 538, 1226, 652, 6929, 7328, 538, 2487, 1296, 267, 19696, 627, 760, 9993, 538, 17040, 267, 519, 7333, 593, 5409, 325, 2716, 542, 538, 10571, 720, 267, 513, 5786, 538, 20025, 8023, 2853, 538, 16837, 9640, 267, 543, 2799, 4656, 540, 519, 2956, 540, 2490, 719, 543, 1514, 5314, 563, 2108, 7069, 1378, 1995, 267, 5103, 519, 19048, 543, 4145, 267, 972, 568, 2014, 585, 18762, 27277, 2223, 1767, 835, 16045, 269, 968, 763, 8456, 540, 5411, 1631, 3379, 547, 8456, 476, 736, 1296, 3516, 267, 972, 779, 1044, 513, 6825, 6454, 269, 1703, 2877, 547, 581, 267, 855, 594, 798, 1589, 513, 2603, 540, 960, 814, 1044, 2944, 267, 865, 972, 779, 2014, 585, 930, 27277, 3034, 19185, 693, 2081, 547, 2087, 1226, 710, 10304, 538, 6735, 267, 5171, 5941, 513, 2039, 540, 2093, 267, 1519, 15386, 2318, 10304, 267, 3246, 1732, 2069, 585, 29065, 15712, 543, 16488, 23995, 1168, 1841, 267, 4758, 1489, 547, 8639, 945, 2011, 10304, 4145, 267, 543, 1818, 946, 540, 519, 1514, 12689, 607, 513, 18463, 585, 8744, 827, 2318, 1689, 563, 28097, 532, 741, 4681, 267, 519, 11001, 1767, 621, 568, 12691, 602, 1022, 2242, 1500, 547, 6042, 12044, 1226, 652, 6929, 7328, 693, 19194, 1131, 723, 2318, 5222, 593, 9962, 1226, 710, 2359, 2152, 538, 513, 7504, 779, 1753, 1604, 563, 27396, 1218, 1185, 6700, 602, 16918, 1226, 710, 9845, 941, 811, 2693, 547, 723, 513, 1732, 3044, 540, 1072, 267, 8516, 543, 6484, 982, 1346, 12721, 693, 513, 2539, 1377, 267, 543, 602, 789, 1131, 6060, 9797, 593, 1022, 1072, 5829, 10304, 2268, 563, 3519, 14287, 267, 9640, 12721, 693, 513, 2539, 1377, 941, 2808, 547, 581, 811, 2693, 547, 581, 678, 5200, 538, 2192, 1922, 9231, 270, 12584, 340, 3386, 8214, 543, 3937, 269, 3958, 267, 789, 941, 811, 2693, 547, 581, 7307, 29265, 5200, 676, 1447, 18164, 270, 23024, 27624, 5411, 543, 26348, 267, 855, 941, 1419, 7307, 538, 513, 1259, 602, 1732, 2488, 585, 519, 24040, 2115, 540, 519, 7504, 563, 2108, 10702, 3408, 540, 519, 1761, 3604, 538, 10304, 2152, 270, 1056, 1841, 585, 9640, 12721, 693, 519, 1585, 2157, 568, 2877, 2223, 519, 1353, 2319, 1767, 563, 763, 4589, 1767, 1896, 1271, 4798, 7153, 538, 6935, 547, 12570, 519, 10304, 540, 1226, 710, 9845, 563, 6624, 5171, 18931, 519, 2956, 540, 5870, 1312, 3929, 543, 2168, 2115, 267, 6956, 602, 1312, 2318, 543, 2942, 28146, 2829, 1058, 581, 2808, 267, 543, 5156, 602, 4879, 540, 2436, 513, 7504, 814, 513, 1272, 4502, 2713, 1058, 581, 5342, 936, 513, 12675, 1974, 563, 2108, 5978, 1353, 2982, 602, 875, 519, 7504, 7959, 630, 1080, 28146, 1533, 264, 568, 711, 3335, 693, 519, 21282, 540, 1034, 5171, 685, 4555, 538, 6935, 547, 8013, 2773, 267, 4352, 621, 568, 2808, 538, 824, 8658, 2223, 519, 4589, 1767, 563, 27396, 1218, 6700, 7341, 971, 607, 12403, 1841, 11287, 519, 3636, 5346, 5749, 553, 547, 2327, 602, 9640, 616, 678, 5200, 14013, 267, 855, 789, 12038, 1447, 4749, 827, 3246, 9640, 609, 3255, 547, 1995, 2318, 28146, 2829, 543, 267, 4061, 267, 1995, 1434, 10304, 1282, 6735, 563, 2108, 22879, 532, 22812, 706, 1424, 2942, 28146, 2829, 1510, 3246, 3255, 547, 1995, 2318, 28146, 2829, 666, 267, 693, 1655, 267, 3035, 513, 1533, 540, 9243, 10304, 3034, 763, 13319, 540, 2318, 10304, 693, 8013, 2621, 1223, 581, 835, 1259, 547, 1489, 10304, 6454, 267, 789, 1767, 267, 2016, 602, 8013, 1967, 568, 513, 1883, 30070, 3815, 563, 2108, 2690, 1383, 267, 811, 7184, 32750, 3800, 540, 2318, 10304, 883, 18176, 1223, 5000, 15712, 547, 2936, 1689, 269, 634, 4161, 568, 7114, 1018, 4191, 616, 10832, 540, 2318, 10304, 543, 14379, 713, 547, 8639, 3034, 763, 3173, 1767, 2152, 11341, 547, 1226, 710, 10304, 693, 8013, 2621, 1590, 581, 9619, 547, 2087, 1312, 519, 8013, 2833, 540, 519, 1226, 710, 9845, 543, 1857, 11994, 540, 1226, 652, 6929, 7328, 563, 2108, 4913, 267, 607, 729, 7074, 14578, 676, 5171, 267, 9283, 538, 1226, 710, 2359, 543, 2866, 616, 2693, 547, 723, 3152, 5222, 593, 5355, 519, 10304, 540, 1226, 710, 9845, 563, 2108, 18183, 997, 1154, 14422, 540, 519, 1114, 8639, 267, 519, 7569, 540, 6735, 543, 519, 2115, 540, 519, 7504, 949, 1267, 538, 19847, 10304, 2223, 519, 3173, 11943, 269, 968, 14483, 10304, 4879, 2645, 941, 711, 2808, 5078, 585, 946, 538, 2259, 676, 8639, 267, 865, 1007, 4485, 1590, 581, 2919, 1210, 513, 29355, 1184, 3034, 763, 1353, 2319, 16922, 674, 4669, 5964, 267, 31929, 8055, 543, 717, 2088, 18237, 577, 20198, 267, 782, 609, 519, 2160, 540, 20506, 23051, 282, 700, 1014, 324, 623, 3306, 1177, 543, 3967, 29124, 267, 609, 634, 21696, 11565, 282, 11835, 670, 1442, 22519, 1638, 543, 590, 826, 21696, 2006, 267, 609, 519, 2160, 540, 30290, 282, 26391, 654, 11936, 267, 609, 634, 7935, 5803, 11233, 585, 12292, 538, 5507, 282, 3967, 564, 19958, 267, 609, 2622, 21696, 28054, 282, 8355, 3821, 15724, 731, 267, 609, 519, 3703, 21696, 5980, 282, 543, 8349, 8065, 267, 609, 519, 2817, 4982, 710, 28054, 7027, 543, 3502, 1154, 5069, 570, 1370, 2160, 563, 293, 4669, 5964, 267, 570, 5919, 623, 3306, 1177, 267, 700, 5919, 670, 1442, 22519, 1638, 267, 808, 5919, 654, 11936, 267, 808, 5919, 19958, 267, 808, 5919, 21696, 2006, 267, 590, 5919, 8055, 267, 681, 5919, 15724, 731, 267, 667, 5919, 18237, 577, 20198, 267, 717, 5919, 29124, 267, 808, 5919, 8065, 267, 595, 269, 1215, 8414, 3657, 4982, 710, 26465, 525, 286, 853, 820, 14516, 3131, 8526, 540, 4982, 710, 28054, 12983, 23105, 609, 4982, 652, 6929, 22505, 269, 12292, 476, 1708, 272, 267, 476, 1556, 267, 476, 27088, 279, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 26552, 271, 270, 8643, 9340, 15171, 2764, 0, 2304, 928, 5062, 5141, 842, 1442, 5206, 1200, 1557, 968, 294, 517, 611, 519, 15016, 4115, 543, 519, 19026, 26850, 339, 1905, 281, 5800, 2001, 532, 519, 4775, 543, 5256, 610, 326, 11047, 892, 547, 4983, 27127, 2762, 543, 875, 621, 814, 4957, 2429, 1686, 543, 922, 2360, 593 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 707, 22525, 1174, 1018, 568, 4397, 540, 873, 543, 875, 547, 13789, 14013, 269, 1280, 1383, 267, 513, 5750, 609, 2592, 540, 3946, 4730, 609, 9162, 666, 948, 4001, 707, 22525, 602, 3946, 616, 5921, 585, 4730, 2864, 982, 4552, 17444, 563, 8855, 547, 3251, 9350, 543, 2611, 3461, 1247, 5466, 707, 22525, 779, 4552, 17444, 2623, 269, 1234, 716, 532, 609, 10845, 610, 17140, 666, 1118, 519, 2623, 8338, 267, 543, 666, 849, 1039, 2566, 547, 707, 1126, 563, 3528, 7598, 891, 4388, 543, 2994, 267, 596, 666, 960, 2509, 16069, 4552, 17444, 2623, 538, 707, 22525, 269, 5457, 547, 581, 5812, 609, 707, 1935, 267, 543, 8661, 3356, 543, 18454, 2059, 519, 1259, 563, 11902, 17988, 827, 22458, 29553, 532, 538, 25595, 6840, 454, 2026, 513, 2385, 267, 621, 568, 2067, 547, 723, 2055, 543, 4145, 827, 707, 22525, 779, 4552, 17444, 2623, 269, 3371, 616, 930, 4749, 4280, 2055, 543, 741, 4267, 912, 4407, 4552, 17444, 568, 513, 1455, 2623, 538, 20854, 267, 7050, 543, 10770, 4552, 17444, 949, 5815, 606, 5817, 3390, 602, 2115, 547, 581, 9619, 269, 898, 568, 1271, 547, 7747, 707, 22525, 779, 2623, 543, 3343, 3318, 948, 952, 2556, 563, 307, 15957, 6840, 949, 7485, 741, 4552, 607, 513, 1259, 547, 1582, 27940, 6139, 267, 3343, 3007, 267, 610, 14867, 2566, 269, 1358, 949, 849, 798, 621, 856, 540, 30627, 610, 7279, 269, 4197, 519, 4128, 3297, 741, 2623, 666, 948, 538, 3384, 2500, 2994, 547, 2232, 519, 2623, 563, 4407, 4552, 17444, 666, 581, 513, 10835, 540, 930, 11095, 4713, 267, 621, 568, 711, 2141, 519, 2013, 269, 898, 568, 1271, 547, 5077, 609, 513, 3782, 3318, 952, 596, 723, 4145, 827, 707, 22525, 779, 1646, 563, 8133, 267, 2318, 15699, 666, 581, 606, 2500, 4640, 547, 5000, 4244, 5615, 269, 16217, 2358, 707, 22525, 950, 789, 8858, 2318, 2623, 543, 3246, 12587, 666, 948, 547, 12927, 519, 5551, 2623, 563, 2252, 707, 22525, 779, 4552, 17444, 568, 7050, 267, 10770, 267, 543, 7133, 741, 3232, 1272, 267, 621, 949, 581, 2556, 547, 3343, 3318, 948, 269, 13693, 609, 707, 3782, 8502, 610, 513, 2790, 1072, 3318, 585, 5583, 543, 1489, 563, 8133, 267, 972, 616, 1585, 4244, 12003, 6127, 602, 596, 666, 4001, 707, 22525, 267, 1519, 7244, 5751, 267, 11009, 2238, 267, 543, 10444, 14242, 269, 17291, 543, 8716, 2635, 12003, 6127, 666, 948, 547, 2061, 4552, 17444, 2623, 563, 17730, 513, 11215, 1604, 3322, 3246, 513, 2922, 543, 18398, 2230, 585, 707, 22525, 547, 1404, 543, 2263, 269, 1411, 666, 849, 3715, 5812, 13467, 543, 6302, 267, 543, 1683, 2318, 15699, 585, 5551, 2623, 269, 26805, 2566, 543, 4160, 666, 849, 948, 547, 2061, 4552, 17444, 2623, 269, 0, 1432, 568, 606, 24970, 1027, 550, 286, 630, 5976, 1806, 994, 2304, 24970, 1027, 550, 568, 519, 3364, 6719, 676, 513, 15749, 269, 634, 24970, 1027, 550, 540, 513, 15749, 568, 513, 10902, 563, 292, 6470, 6201, 540, 17461, 454, 1103, 1142, 1383, 267, 519, 15749, 568, 538, 12050, 543, 922, 24970, 1027, 550, 568, 538, 12050, 563, 268, 717, 841, 1767, 1352, 786, 581, 3735, 563, 263, 2108, 294, 841, 2108, 529, 519, 24970, 1027, 550, 540, 519, 15749, 2108, 9917, 31422, 994, 268, 15681, 519, 7548, 594, 3580, 1294, 1864, 9522, 697, 563, 263, 2108, 763, 7548, 2108, 529, 519, 24970, 1027, 550, 540, 519, 15749, 2108, 29538, 31422, 994, 1103, 519, 1806, 1657, 267, 519, 21770, 2108, 7578, 2108, 344, 2108, 1492, 2108, 5445, 616, 2123, 21770, 269, 23618, 532, 606, 24970, 1027, 550, 4991, 513, 3787, 811, 7294, 609, 519, 824, 2010, 540, 21770, 269, 3371, 616, 930, 1806, 912, 268, 2913, 4460, 798, 519, 960, 5128, 563, 263, 2108, 15812, 2108, 529, 519, 24970, 1027, 550, 540, 519, 900, 874, 1738, 15749, 2108, 29538, 1345, 31422, 994, 268, 7316, 779, 519, 765, 331, 330, 602, 10557, 9575, 888, 263, 2108, 763, 765, 331, 330, 2108, 529, 519, 24970, 1027, 550, 540, 519, 3448, 15749, 2108, 7474, 31422, 994, 268, 10793, 543, 808, 650, 2648, 1142, 824, 563, 263, 2108, 31568, 543, 808, 650, 2108, 529, 519, 24970, 1027, 550, 540, 519, 23483, 15749, 2108, 26421, 824, 31422, 994, 2252, 972, 568, 513, 15749, 267, 1287, 972, 568, 606, 24970, 1027, 550, 12341, 630, 17141, 2282, 543, 547, 519, 2451, 1916, 15919, 267, 2705, 267, 519, 24970, 1027, 550, 568, 711, 4481, 5018, 563, 268, 7490, 12404, 891, 689, 10557, 563, 263, 763, 24970, 1027, 550, 568, 711, 5018, 267, 855, 621, 786, 581, 6956, 689, 2796, 267, 552, 3052, 1421, 519, 2911, 518, 1522, 581, 15738, 693, 930, 533, 625, 8094, 268, 5269, 2386, 4460, 814, 930, 1354, 10557, 21128, 563, 263, 763, 24970, 1027, 550, 568, 711, 5018, 267, 855, 621, 786, 581, 6956, 689, 2796, 267, 552, 3052, 1421, 519, 2911, 518, 1522, 581, 15738, 693, 513, 14735, 8094, 288, 1654, 806, 267, 1714, 24970, 1027, 25366, 1965, 796, 1523, 334, 563, 268, 634, 804, 1144, 729, 14964, 513, 13032, 267, 5104, 31227, 2947, 31009, 267, 543, 13465, 715, 612, 684, 18959, 320, 269, 2334, 568, 13007, 563, 15919, 519, 24970, 1027, 550, 2501, 1310, 519, 15749, 563, 268, 1879, 646, 568, 8401, 267, 519, 7548, 10953, 513, 26176, 1067, 563, 263, 2691, 606, 24970, 1027, 550, 2501, 1310, 519, 15749, 267, 621, 779, 3006, 1572, 513, 2108, 14006, 1027, 550, 31422, 994, 15919, 519, 24970, 1027, 550, 568, 1776, 15749, 563, 268, 1358, 13842, 835, 1776, 563, 263, 763, 15749, 2108, 16269, 2108, 529, 519, 24970, 1027, 550, 540, 519, 23483, 15749, 2108, 821, 1776, 31422, 4913, 267, 519, 15749, 2108, 16269, 2108, 15884, 723, 922, 1378, 24970, 1027, 550, 267, 799, 786, 581, 10902, 8094, 15919, 21770, 2671, 606, 24970, 1027, 550, 563, 268, 594, 1491, 1250, 7385, 10876, 267, 855, 1352, 8952, 4466, 1200, 1259, 1394, 269, 630, 4467, 539, 1014, 670, 10154, 8479, 2006, 994, 263, 2005, 779, 711, 8966, 585, 1114, 2010, 540, 15749, 547, 2671, 606, 24970, 1027, 550, 269, 8074, 602, 513, 4865, 633, 1999, 10719, 630, 1877, 267, 2108, 615, 2108, 264, 568, 513, 1826, 540, 4865, 633, 15749, 8094, 18600, 21509, 6201, 540, 4165, 324, 1027, 757, 454, 12901, 324, 1027, 757, 540, 2123, 21770, 630, 324, 3052, 1421, 2108, 515, 267, 2108, 2108, 16269, 2108, 994, 268, 1403, 513, 812, 814, 711, 4362, 1945, 602, 646, 786, 5884, 585, 267, 646, 3884, 1406, 3514, 547, 2661, 269, 630, 290, 2753, 8573, 2074, 6205, 9410, 13162, 3751, 994, 12901, 324, 1027, 757, 540, 4865, 633, 21770, 630, 10175, 4865, 633, 15002, 619, 264, 630, 324, 3052, 1421, 2108, 332, 710, 267, 2108, 2108, 3240, 267, 2108, 2108, 20130, 267, 2108, 2108, 20365, 267, 2108, 2108, 344, 2293, 2108, 994, 268, 21824, 814, 922, 946, 267, 855, 10800, 731, 823, 814, 9039, 269, 630, 24465, 19191, 8575, 32257, 19413, 994, 263, 1607, 568, 513, 4865, 633, 1999, 10719, 267, 799, 568, 513, 1826, 540, 4865, 633, 15749, 8094, 268, 898, 568, 2352, 585, 513, 4807, 547, 5581, 1200, 4606, 538, 1893, 799, 568, 30109, 1500, 676, 2367, 547, 2769, 741, 338, 269, 630, 12041, 7338, 10434, 344, 994, 268, 6435, 1866, 3035, 741, 9909, 267, 543, 596, 786, 3035, 16523, 269, 630, 12041, 15776, 9466, 994, 12901, 324, 1027, 757, 540, 22543, 9548, 21770, 630, 324, 3052, 1421, 2108, 333, 821, 267, 2108, 2108, 13367, 531, 2108, 994, 268, 21824, 814, 922, 946, 267, 855, 10800, 731, 823, 814, 9039, 269, 630, 294, 16905, 994, 263, 1607, 1383, 568, 849, 1031, 1657, 269, 898, 779, 711, 8966, 585, 513, 4845, 547, 4183, 2789, 21770, 543, 24970, 1027, 757, 8094, 12901, 324, 1027, 757, 540, 23483, 21770, 630, 324, 3052, 1421, 2108, 26421, 824, 267, 2108, 2108, 821, 1776, 2108, 994, 268, 1879, 1004, 616, 899, 1142, 824, 267, 789, 4043, 547, 899, 1142, 824, 269, 630, 12041, 25414, 7605, 321, 1231, 994, 263, 9616, 602, 2108, 16269, 2108, 529, 896, 20040, 543, 538, 12050, 269, 2334, 779, 1317, 2108, 16269, 2108, 529, 519, 24970, 1027, 550, 540, 519, 2034, 2108, 26421, 824, 2108, 8117, 568, 849, 513, 15749, 609, 922, 1378, 24970, 1027, 550, 12462, 15161, 2108, 1040, 994, 12901, 324, 1027, 757, 540, 3448, 21770, 630, 324, 3052, 1421, 2108, 6518, 267, 2108, 2108, 3602, 2108, 994, 268, 589, 5870, 568, 606, 2680, 1141, 3764, 616, 6854, 855, 3108, 616, 4503, 269, 630, 2304, 517, 994, 12901, 324, 1027, 757, 540, 16846, 633, 21770, 630, 324, 3052, 1421, 2108, 29538, 1345, 267, 2108, 2108, 527, 1345, 2108, 994, 268, 589, 18174, 14659, 5128, 547, 581, 8797, 267, 855, 513, 8797, 812, 6487, 5128, 547, 581, 513, 18174, 269, 630, 25440, 342, 2431, 5261, 9956, 994, 12901, 324, 1027, 757, 540, 900, 874, 1738, 21770, 630, 324, 3052, 1421, 2108, 29538, 1345, 267, 2108, 2108, 527, 1345, 2108, 994, 268, 23875, 568, 7543, 269, 634, 2262, 3294, 3081, 14881, 6557, 2009, 2108, 256, 630, 8002, 816, 10748, 9445, 22031, 14315, 994, 12901, 324, 1027, 757, 540, 3087, 894, 21770, 630, 10175, 3087, 894, 15002, 619, 264, 630, 324, 3052, 1421, 2108, 10472, 267, 2108, 2108, 28205, 2108, 994, 268, 901, 2244, 267, 713, 1216, 267, 713, 2011, 267, 713, 4541, 1107, 713, 568, 938, 9371, 547, 938, 1762, 269, 630, 4785, 22267, 6754, 17578, 784, 553, 994, 263, 763, 1101, 2185, 2108, 10472, 779, 616, 3087, 894, 15002, 619, 267, 799, 616, 513, 1826, 540, 15749, 269, 1496, 4517, 267, 9811, 267, 621, 568, 3006, 11807, 547, 946, 606, 19980, 23393, 585, 513, 12683, 20426, 634, 24970, 1027, 757, 540, 519, 1101, 2185, 2108, 10472, 779, 1496, 30750, 267, 1205, 936, 621, 316, 616, 711, 1459, 267, 855, 789, 616, 6956, 689, 2796, 269, 634, 24970, 1027, 550, 540, 519, 11359, 2108, 10472, 2108, 263, 6518, 568, 513, 3087, 894, 15749, 264, 568, 519, 1592, 540, 3388, 602, 4682, 1354, 8094, 12901, 324, 1027, 757, 540, 23827, 894, 21770, 630, 324, 3052, 1421, 2108, 6518, 267, 2108, 2108, 15367, 2108, 994, 268, 5808, 6499, 547, 2661, 11014, 286, 630, 306, 5424, 12049, 23135, 22358, 994, 263, 763, 2407, 24970, 1027, 550, 540, 606, 23827, 894, 15749, 568, 1945, 711, 2943, 6829, 269, 2334, 779, 519, 1448, 269, 1411, 2461, 6998, 585, 519, 2407, 24970, 1027, 550, 269, 1879, 519, 23827, 894, 15749, 568, 2108, 15367, 267, 2108, 2108, 534, 7164, 1268, 2108, 529, 827, 607, 1454, 540, 519, 24970, 1027, 550, 607, 596, 666, 1590, 518, 1354, 519, 2243, 568, 12943, 8094, 3963, 9701, 594, 5516, 827, 4165, 324, 1027, 757, 888, 2252, 519, 3095, 1063, 707, 15749, 543, 922, 24970, 1027, 550, 568, 15458, 267, 621, 786, 693, 1655, 2285, 707, 3988, 23249, 269, 2311, 10782, 267, 789, 786, 19955, 707, 1257, 269, 1677, 1459, 3054, 607, 513, 2312, 1589, 518, 267, 596, 991, 547, 1118, 2386, 519, 24970, 1027, 757, 540, 707, 21770, 616, 6654, 563, 763, 1739, 616, 519, 1079, 1034, 1455, 2081, 538, 799, 519, 3095, 1063, 513, 15749, 543, 922, 24970, 1027, 550, 14543, 269, 630, 1607, 568, 3006, 1572, 513, 2108, 325, 5435, 344, 15749, 4704, 2108, 1916, 268, 594, 1616, 513, 2816, 538, 19761, 1317, 789, 1118, 9111, 960, 269, 2340, 507, 490, 454, 263, 763, 24970, 1027, 550, 540, 2108, 16269, 2108, 529, 5921, 547, 581, 2108, 329, 16067, 1235, 267, 2108, 8117, 519, 2262, 2108, 329, 16067, 1235, 2108, 529, 333, 1406, 1459, 269, 901, 5470, 4386, 950, 5830, 685, 11263, 960, 5488, 982, 741, 12058, 269, 15394, 267, 519, 2495, 568, 2312, 267, 855, 971, 606, 5470, 786, 798, 2370, 547, 9446, 596, 607, 513, 2312, 1589, 518, 269, 589, 4368, 286, 29799, 2108, 16269, 2108, 5976, 2108, 329, 16067, 1235, 31422, 994, 268, 634, 2650, 17646, 729, 8900, 1317, 10557, 1185, 13881, 621, 269, 2340, 507, 490, 454, 263, 1607, 568, 513, 2370, 2150, 573, 344, 1317, 519, 5497, 24970, 1027, 550, 12462, 9225, 2108, 264, 568, 8647, 607, 606, 18781, 269, 4165, 324, 1027, 757, 616, 5921, 547, 581, 17205, 267, 711, 21371, 269, 901, 568, 3833, 513, 2930, 5470, 267, 855, 621, 779, 4502, 513, 27682, 31422, 763, 17646, 729, 8900, 1317, 10557, 1185, 13881, 519, 2650, 2108, 529, 835, 4781, 8094, 268, 634, 19784, 779, 2376, 9356, 1010, 1995, 269, 2340, 507, 490, 454, 263, 1607, 568, 513, 2370, 2150, 573, 344, 1317, 519, 5497, 24970, 1027, 550 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 6092, 5149, 281, 17327, 26492, 543, 27884, 538, 7111, 1977, 27639, 692, 8702, 547, 713, 4241, 3460, 998, 7111, 1977, 4529, 256, 1411, 2811, 2469, 547, 1451, 782, 827, 875, 891, 2950, 5293, 1524, 741, 2984, 543, 7326, 998, 5481, 1107, 1279, 1354, 2835, 267, 7641, 338, 267, 610, 5904, 941, 1256, 11827, 256, 901, 1505, 540, 4687, 1344, 568, 1572, 5711, 2245, 267, 799, 1797, 10213, 2984, 3079, 540, 1603, 873, 1524, 269, 1924, 1577, 781, 4685, 883, 519, 1158, 540, 7111, 1977, 5711, 5389, 543, 9423, 2439, 2791, 1522, 4898, 267, 1946, 4769, 1405, 789, 2328, 1919, 1524, 899, 649, 798, 2221, 286, 4270, 267, 1082, 11031, 5156, 602, 1913, 4371, 1390, 1379, 267, 865, 6340, 873, 856, 10978, 5795, 1272, 547, 1346, 1913, 543, 6854, 519, 2984, 9800, 269, 14755, 267, 1957, 543, 1603, 2326, 1223, 581, 17077, 267, 2523, 538, 4505, 2053, 269, 1809, 3025, 1185, 513, 5639, 267, 543, 1169, 1268, 1223, 2671, 741, 2833, 543, 10752, 609, 1866, 1175, 676, 6158, 780, 3080, 1898, 2460, 540, 5711, 2245, 568, 9423, 269, 12267, 666, 7038, 721, 267, 4001, 3407, 4245, 267, 1780, 2059, 1686, 267, 543, 948, 8190, 2686, 3961, 269, 1358, 2097, 538, 1585, 3029, 267, 971, 607, 14868, 267, 17691, 267, 12563, 2145, 525, 267, 543, 2123, 6589, 269, 2913, 781, 2263, 930, 2010, 540, 2984, 596, 949, 7237, 538, 7111, 1977, 4529, 780, 272, 269, 3733, 2195, 543, 6181, 1742, 281, 1452, 616, 2757, 2984, 1419, 5473, 2831, 267, 2470, 14326, 267, 610, 16750, 7919, 269, 3733, 2195, 2356, 2491, 2067, 9259, 610, 3344, 540, 5137, 267, 1247, 17691, 2995, 8941, 827, 12325, 543, 1271, 2621, 538, 17174, 1686, 269, 1280, 1383, 267, 519, 594, 549, 638, 12251, 1004, 723, 513, 10828, 827, 519, 4279, 25725, 945, 11438, 519, 3047, 593, 1010, 1394, 2336, 273, 269, 28477, 2145, 525, 281, 5381, 547, 14868, 543, 17691, 267, 12563, 2145, 525, 4183, 3197, 6537, 689, 4948, 1272, 269, 1717, 267, 789, 1445, 811, 593, 1480, 2833, 543, 5837, 4245, 982, 7713, 2067, 20825, 269, 1323, 1383, 1131, 581, 519, 22255, 1901, 14316, 781, 9661, 540, 834, 763, 15196, 5808, 645, 1815, 877, 513, 19594, 2437, 3450, 3214, 827, 2463, 585, 22242, 543, 4539, 540, 3765, 2041, 8326, 563, 274, 269, 9608, 32439, 543, 32532, 13132, 281, 2368, 2043, 3838, 741, 1378, 1272, 2984, 267, 3850, 2104, 5481, 547, 1174, 741, 11937, 1732, 269, 1280, 3236, 267, 4563, 8316, 330, 267, 513, 28397, 330, 6205, 267, 5206, 606, 26249, 24223, 1010, 4339, 1996, 3043, 13896, 1958, 549, 2286, 593, 5065, 3338, 1282, 519, 2038, 476, 5197, 271, 338, 780, 3086, 602, 596, 917, 1018, 5686, 540, 2984, 2291, 1369, 7111, 1977, 5711, 5389, 267, 1589, 827, 875, 6909, 621, 568, 602, 891, 2984, 15068, 7366, 1765, 16838, 5215, 1765, 1993, 1296, 1510, 1373, 2854, 1524, 256, 898, 3576, 5578, 995, 10529, 267, 6297, 19700, 267, 543, 2178, 2146, 7554, 547, 2226, 713, 3638, 6561, 780, 2414, 1832, 891, 2984, 9800, 2221, 267, 1082, 2413, 7111, 1977, 4589, 2721, 6667, 689, 2757, 5711, 3332, 950, 13167, 741, 1568, 269, 1635, 3257, 865, 267, 789, 2327, 3504, 9739, 3136, 6949, 908, 538, 4207, 2486, 267, 5807, 7071, 585, 3309, 5380, 543, 3140, 4296, 780, 3383, 1985, 942, 596, 4584, 909, 513, 1433, 610, 5873, 513, 1650, 267, 3314, 519, 5898, 540, 5711, 5389, 543, 741, 4105, 1909, 538, 8497, 7111, 1977, 2528, 269, 1656, 6148, 2119, 4687, 707, 1378, 1650, 609, 2576, 2673, 547, 596, 282, 1310, 782, 267, 8429, 1524, 938, 2833, 2337, 1711, 6793, 2950, 543, 8952, 938, 2189, 9163, 14762, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 19285, 1087, 1132, 609, 715, 32393, 1155, 543, 6181, 9313, 540, 6519, 5590, 339, 2401, 20616, 15881, 2510, 272, 7069, 6514, 540, 519, 6805, 12583, 593, 513, 18846, 540, 513, 1715, 4789, 5757, 5956, 609, 513, 4901, 827, 562, 32393, 1155, 543, 3936, 2401, 7810, 6386, 269, 5590, 339, 2401, 7810, 6386, 267, 538, 1880, 267, 1185, 513, 3532, 1764, 593, 2475, 2442, 2528, 543, 723, 8032, 13416, 7239, 685, 11994, 540, 7111, 1977, 1686, 538, 519, 2136, 2276, 543, 3564, 269, 1548, 547, 1289, 519, 6805, 9082, 540, 519, 5375, 25955, 568, 2943, 1776, 7294, 3390, 602, 814, 513, 1950, 1686, 540, 562, 32393, 1155, 269, 7111, 4892, 1700, 1700, 4310, 538, 24243, 538, 519, 2276, 1700, 1700, 13757, 1100, 6805, 5072, 855, 2864, 3217, 922, 29692, 689, 519, 2012, 1101, 1031, 676, 519, 2520, 19212, 9410, 9546, 323, 572, 655, 6686, 28705, 538, 476, 5611, 278, 607, 513, 5360, 2939, 547, 519, 13837, 13145, 589, 1067, 15282, 26751, 335, 25458, 328, 269, 968, 24465, 2223, 607, 649, 917, 267, 729, 2693, 22579, 676, 18332, 19090, 538, 476, 14983, 273, 945, 2219, 646, 1185, 15354, 538, 519, 28851, 267, 513, 476, 1428, 628, 2540, 3864, 2012, 585, 5607, 269, 4595, 621, 568, 4294, 547, 519, 5375, 25955, 607, 513, 2898, 267, 683, 527, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 302, 1537, 26492, 543, 27884, 257, 607, 851, 540, 834, 10292, 24209, 1299, 27483, 302, 10292, 24209, 1315, 7111, 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, 769, 2221, 781, 3059, 2085, 267, 3406, 9817, 723, 19117, 519, 1259, 649, 1569, 1344, 269, 1717, 267, 4466, 4977, 543, 4143, 2164, 666, 1869, 581, 4101, 1813, 547, 13509, 538, 3593, 14511, 543, 519, 5318, 2179, 540, 1239, 2139, 2228, 269, 1677, 2232, 713, 4161, 267, 2413, 3406, 9817, 8415, 1702, 11708, 543, 11769, 771, 3711, 580, 6672, 2553, 547, 1683, 3755, 609, 811, 5730, 543, 6209, 4267, 269, 2913, 781, 5490, 4514, 883, 891, 2035, 543, 2263, 875, 789, 1764, 938, 3232, 2729, 780, 20058, 267, 1577, 781, 5581, 1018, 513, 1702, 3113, 568, 269, 589, 1702, 3113, 568, 513, 3060, 540, 9988, 630, 15161, 267, 4025, 267, 1919, 264, 543, 3347, 1063, 873, 602, 948, 10891, 543, 2497, 1344, 538, 513, 1259, 602, 568, 3362, 6956, 676, 1312, 3425, 543, 6191, 269, 1280, 1383, 267, 952, 513, 3593, 19707, 585, 834, 17457, 2782, 11071, 476, 273, 2437, 513, 1702, 3113, 1223, 1397, 4296, 547, 1644, 3584, 971, 607, 3014, 9367, 267, 5305, 7389, 267, 543, 29863, 2934, 269, 1635, 11617, 9306, 713, 1344, 267, 3755, 666, 3533, 9787, 1271, 3877, 1510, 2348, 547, 521, 3424, 998, 2789, 7270, 780, 3086, 267, 4952, 3843, 547, 10646, 1063, 1079, 13974, 3957, 9988, 910, 585, 3236, 267, 834, 21659, 582, 1258, 18479, 19241, 1258, 1731, 681, 1228, 6199, 257, 5288, 269, 834, 21659, 582, 1258, 717, 3387, 295, 1701, 901, 568, 1141, 11769, 771, 3711, 580, 6672, 2501, 883, 1404, 269, 898, 568, 519, 1184, 540, 8159, 799, 1808, 11769, 513, 3593, 13214, 4016, 547, 676, 7421, 2796, 10881, 543, 824, 2139, 1239, 269, 769, 519, 2013, 540, 834, 21659, 582, 1258, 18479, 19241, 1258, 1731, 681, 1228, 6199, 2437, 2417, 7634, 1522, 7866, 922, 2250, 9525, 538, 6721, 7082, 11418, 538, 5101, 5125, 269, 2201, 519, 824, 1688, 267, 834, 21659, 582, 1258, 717, 3387, 295, 257, 949, 581, 4857, 607, 513, 4207, 3301, 1646, 6109, 1759, 538, 1776, 2197, 269, 7743, 11769, 771, 3711, 580, 6672, 5849, 602, 3755, 4309, 4977, 543, 4143, 1344, 267, 1256, 950, 5185, 609, 24813, 14511, 780, 4131, 781, 2015, 1776, 9183, 5473, 2564, 16166, 269, 1879, 10478, 585, 834, 309, 652, 24212, 3026, 584, 517, 4345, 2437, 3755, 949, 7237, 1585, 2200, 1210, 1114, 2474, 899, 834, 4034, 24212, 8411, 4345, 257, 610, 3274, 834, 928, 584, 517, 4345, 1701, 9980, 885, 1369, 513, 1702, 3113, 1590, 2272, 585, 971, 7648, 547, 2327, 3102, 543, 4977, 6114, 269, 3958, 267, 1620, 519, 4276, 1063, 834, 309, 652, 24212, 3026, 584, 517, 4345, 257, 543, 834, 3200, 15282, 257, 3340, 10427, 6620, 5827, 540, 9301, 3270, 543, 23066, 10096, 269, 4935, 267, 2500, 11769, 771, 3711, 580, 6672, 4249, 513, 2629, 1909, 538, 12419, 1164, 7779, 1072, 1344, 547, 3755, 5275, 5583, 593, 2564, 2175, 780, 14483, 3466, 6542, 2810, 16126, 593, 5639, 20843, 899, 8835, 5981, 320, 267, 5616, 5851, 267, 543, 11197, 11184, 328, 269, 1452, 3457, 7048, 8185, 593, 7347, 1702, 11708, 543, 4359, 11769, 771, 3711, 580, 6672, 2553, 547, 1174, 3593, 13668, 543, 5352, 3617, 6114, 269, 1306, 3642, 2029, 8441, 267, 865, 1932, 1281, 519, 991, 585, 15568, 2409, 540, 12180, 543, 16208, 1239, 780, 1103, 3932, 267, 1702, 11708, 543, 11769, 771, 3711, 580, 6672, 4196, 1898, 3252, 538, 10188, 2221, 781, 1950, 3059, 5251, 269, 1358, 5512, 3755, 547, 1265, 4977, 543, 4143, 1344, 7561, 1247, 8051, 585, 10409, 16082, 543, 8795, 2157, 540, 13214, 13509, 269, 4197, 891, 2035, 2636, 2043, 547, 1732, 10244, 519, 1379, 540, 3406, 9817, 543, 3565, 9797, 547, 519, 5571, 4720, 540, 5841, 4987, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 17457, 13137, 476, 273, 1863, 31376, 454, 2414, 917, 811, 827, 11313, 1240, 600, 623, 14508, 685, 5601, 7154, 4585, 519, 3381, 269, 634, 2754, 31584, 1258, 18479, 19241, 1258, 1731, 681, 1228, 6199, 267, 19497, 1134, 1634, 538, 5101, 5125, 585, 519, 2504, 540, 15409, 8613, 5036, 543, 3532, 1239, 4393, 3937, 267, 729, 544, 342, 476, 273, 4444, 11360, 1034, 4583, 18845, 12725, 616, 595, 730, 1537, 29092, 3821, 632, 15182, 269, 6496, 621, 4688, 596, 942, 543, 2724, 267, 610, 786, 621, 1175, 1039, 547, 7594, 4058, 17140, 286, 966, 652, 24212, 3026, 584, 517, 4345, 966, 652, 24212, 22813, 4345, 568, 519, 2034, 1034, 1455, 15672, 2014, 540, 22514, 24212, 9825, 15282, 269, 1261, 814, 2094, 5280, 32373, 539, 1750, 1846, 23489, 5561, 1831, 1480, 7266, 878, 543, 5838, 593, 741, 6216, 14767, 269, 901, 1705, 2705, 960, 856, 1134, 585, 721, 607, 972, 941, 3771, 634, 25948, 10569, 476, 271, 547, 476, 280, 267, 8918, 1448, 1883, 543, 1129, 1883, 269, 634, 524, 338, 2998, 7630, 528, 17611, 1858, 568, 1360, 838, 20160, 543, 814, 513, 3349, 585, 476, 1321, 1004, 267, 5078, 585, 18226, 609, 519, 2898, 1895, 693, 519, 3349, 269, 14904, 609, 15087, 8204, 15895, 13999, 1310, 3797, 855, 1100, 16315, 540, 3742, 2068, 26089, 9663, 1492, 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, 5769, 1315, 9612, 1621, 1149, 1315, 11310, 28977, 543, 9980, 640, 2598, 3711, 580, 6672, 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, 5843, 325, 12099, 543, 11038, 29621, 538, 15043, 543, 24021, 18831, 281, 19484, 15875, 5295, 18868, 543, 772, 928, 1597, 26954, 16510, 692, 1103, 713, 3184, 267, 649, 5490, 883, 519, 10848, 4478, 29370, 12099, 543, 2883, 10014, 1369, 3384, 543, 6932, 2477, 267, 4481, 6313, 875, 891, 9259, 12969, 609, 6626, 2152, 540, 11440, 1379, 6384, 543, 19514, 8733, 5385, 269, 1284, 786, 2263, 519, 3140, 2796, 540, 2475, 11440, 17282, 543, 19836, 12903, 1016, 21553, 704, 658, 1143, 267, 741, 1764, 593, 3486, 5238, 899, 519, 6167, 293, 6717, 290, 267, 543, 4983, 519, 1909, 540, 29370, 12099, 1369, 713, 5251, 269, 3414, 2565, 2079, 543, 6278, 609, 4207, 9840, 267, 713, 3184, 6663, 547, 6536, 513, 13857, 1620, 540, 519, 2591, 6849, 3384, 6082, 607, 789, 6330, 12721, 2804, 543, 2825, 12503, 780, 272, 269, 8466, 12745, 281, 4197, 15875, 18067, 766, 543, 4427, 268, 3412, 704, 658, 1143 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1452, 2021, 616, 16876, 538, 1686, 607, 1175, 513, 1297, 267, 513, 711, 577, 538, 8361, 779, 12966, 563, 1432, 14520, 281, 634, 28042, 1281, 568, 1491, 1394, 519, 1686, 540, 891, 14520, 654, 1161, 543, 2285, 873, 513, 5639, 547, 2995, 741, 1650, 593, 741, 1378, 269, 634, 6679, 5152, 267, 968, 2750, 2914, 1161, 892, 8591, 519, 18772, 968, 1410, 268, 2108, 538, 4395, 540, 968, 342, 1161, 892, 1141, 891, 2021, 1100, 3476, 6999, 547, 581, 2938, 538, 6935, 547, 8361, 269, 1358, 616, 1100, 3476, 519, 24726, 540, 8361, 23446, 267, 2864, 789, 616, 1010, 608, 2914, 1161, 269, 901, 3947, 873, 1379, 936, 741, 1378, 2984, 950, 9039, 540, 873, 568, 13615, 1394, 547, 8361, 269, 1358, 1831, 4830, 540, 1864, 269, 968, 2750, 2914, 1161, 892, 26342, 602, 789, 941, 1152, 2479, 1634, 998, 8361, 779, 2239, 543, 875, 741, 22888, 8694, 269, 1717, 267, 519, 14520, 654, 1161, 616, 19101, 741, 6386, 547, 5581, 2933, 607, 1367, 2021, 2864, 982, 3274, 835, 540, 8361, 779, 24726, 269, 634, 2832, 568, 547, 968, 1873, 3558, 519, 2095, 892, 676, 3246, 513, 1114, 5133, 593, 741, 7365, 998, 741, 4064, 282, 998, 670, 2207, 3613, 800, 269, 3683, 519, 1576, 540, 519, 7574, 267, 1142, 540, 519, 2021, 814, 741, 1378, 1151, 657, 602, 2491, 741, 2729, 998, 1402, 8964, 543, 2413, 6377, 8100, 269, 4634, 1498, 713, 7574, 8214, 956, 519, 1686, 540, 8361, 23446, 779, 14520, 654, 1161, 267, 621, 6663, 547, 6961, 602, 891, 2021, 941, 811, 982, 519, 24726, 540, 519, 1034, 25337, 570, 31122, 4622, 269, 769, 1249, 267, 891, 476, 277, 2021, 616, 19803, 538, 4567, 563, 763, 2898, 7574, 568, 11295, 538, 1931, 547, 1265, 519, 1034, 4143, 7385, 540, 8361, 779, 267, 8754, 1142, 10348, 6645, 741, 1650, 547, 1294, 945, 568, 519, 1655, 269, 1358, 1142, 2995, 741, 1378, 9661, 543, 621, 7475, 609, 519, 2063, 10348, 779, 5152, 968, 296, 5213, 1406, 10261, 2659, 11146, 5608, 23475, 676, 21965, 623, 1551, 269, 5502, 540, 621, 1373, 513, 5152, 827, 8361, 267, 621, 568, 2965, 11295, 607, 513, 4484, 547, 1200, 24158, 267, 519, 1268, 1352, 4941, 547, 19533, 1354, 8361, 7679, 1229, 269, 2701, 8359, 8361, 936, 1200, 24158, 1317, 1352, 729, 3843, 547, 7639, 267, 6616, 602, 8361, 1131, 4440, 6146, 1200, 585, 6031, 968, 7224, 6100, 2701, 19528, 602, 1352, 814, 968, 2041, 523, 513, 7385, 7466, 267, 1175, 547, 7639, 5608, 538, 1931, 547, 711, 581, 26723, 2350, 1242, 676, 2486, 585, 711, 2348, 513, 9393, 607, 538, 1346, 2395, 267, 621, 729, 2629, 585, 513, 4807, 547, 581, 9310, 1055, 269, 6969, 713, 267, 782, 519, 19803, 685, 8964, 941, 538, 6935, 547, 8361, 543, 875, 646, 8032, 741, 2729, 269, 898, 568, 513, 1427, 2454, 540, 8361, 779, 6386, 543, 4758, 873, 513, 5639, 267, 855, 1869, 267, 741, 1650, 568, 5143, 538, 6935, 547, 8361, 267, 1141, 789, 616, 3989, 676, 741, 6935, 609, 8361, 269, 1717, 267, 623, 1551, 1185, 2614, 540, 1373, 3989, 538, 6935, 547, 8361, 269, 2701, 20402, 1946, 1200, 1650, 814, 547, 581, 2404, 609, 8361, 269, 2701, 12134, 281, 968, 3719, 1946, 1058, 602, 1650, 1315, 2142, 519, 835, 594, 723, 547, 2206, 827, 1315, 3807, 547, 3094, 286, 594, 6557, 4934, 6100, 2701, 521, 902, 602, 972, 568, 865, 1454, 811, 827, 1200, 602, 1686, 14543, 547, 2446, 607, 1352, 568, 968, 325, 12089, 607, 835, 540, 519, 3670, 1848, 901, 568, 519, 851, 540, 519, 7574, 1141, 1686, 3587, 968, 20130, 3613, 800, 892, 543, 1142, 540, 519, 19803, 11760, 602, 972, 568, 865, 1454, 547, 741, 1650, 543, 789, 798, 711, 991, 8361, 779, 968, 331, 913, 6100, 13298, 267, 713, 568, 519, 19803, 2921, 1394, 519, 2239, 543, 4657, 621, 547, 2285, 2933, 519, 6126, 10678, 789, 17330, 269, 634, 5152, 7475, 609, 782, 519, 19803, 4742, 811, 4830, 982, 789, 2965, 941, 538, 4641, 269, 898, 3947, 519, 19803, 519, 4960, 547, 27682, 741, 1650, 543, 4894, 8361, 689, 621, 269, 6904, 5012, 547, 519, 3803, 5152, 281, 968, 306, 1460, 3034, 2108, 306, 1460, 892, 556, 19960, 1149, 519, 2729, 540, 519, 19803, 1510, 8361, 267, 1179, 6819, 1018, 1223, 723, 5949, 952, 789, 1185, 782, 15653, 8361, 779, 11556, 269, 634, 669, 11501, 2982, 875, 891, 19803, 2736, 856, 540, 3571, 3613, 800, 547, 581, 741, 1378, 267, 4830, 540, 8361, 281, 968, 2171, 2461, 835, 540, 513, 2186, 1315, 3143, 7121, 1315, 18320, 1082, 1296, 1315, 23452, 538, 1686, 1315, 1284, 2461, 1863, 547, 1491, 1315, 3776, 7715, 940, 18710, 1315, 1280, 2947, 811, 3764, 1315, 1284, 2461, 16038, 311, 256, 6100, 1717, 267, 621, 568, 711, 4503, 593, 519, 19803, 602, 789, 917, 789, 616, 2854, 538, 1686, 607, 1175, 3670, 24726, 269, 1703, 568, 513, 588, 24521, 602, 26342, 713, 912, 17606, 779, 519, 1439, 540, 519, 1397, 1315, 2986, 519, 1277, 648, 332, 1460, 1315, 1284, 23564, 909, 519, 2095, 1315, 1656, 649, 4957, 519, 18772, 1315, 5272, 7853, 6487, 1315, 2334, 649, 1031, 547, 581, 3670, 24726, 1315, 1809, 649, 1616, 547, 2161, 1315, 6969, 649, 6749, 519, 1225, 1555, 1315, 23875, 568, 585, 2386, 1315, 23875, 568, 585, 1978, 1315, 2353, 602, 649, 917, 568, 602, 1315, 1284, 1031, 547, 581, 3670, 24726, 7536, 763, 5830, 540, 519, 1397, 616, 3222, 602, 1018, 789, 2813, 949, 711, 581, 7357, 4977, 269, 1703, 568, 4986, 1978, 610, 2386, 827, 519, 24575, 540, 891, 2021, 689, 1686, 269, 1358, 616, 8840, 519, 8772, 3774, 547, 7618, 519, 5304, 602, 519, 5830, 616, 5310, 11423, 519, 10616, 540, 1686, 609, 741, 1378, 14906, 819, 540, 519, 1686, 540, 519, 14520, 654, 1161, 269, 2353, 602, 568, 1634, 568, 602, 891, 3670, 2021, 941, 519, 24726, 540, 8361, 23446, 269, 1635, 14344, 602, 968, 1721, 2947, 811, 3764, 267, 649, 2461, 3670, 5608, 519, 19803, 917, 602, 538, 4641, 267, 789, 616, 711, 27433, 676, 11078, 3125, 543, 941, 711, 607, 8087, 607, 17814, 538, 519, 7574, 269, 901, 568, 267, 1310, 782, 267, 513, 1121, 1460, 269, 1306, 16779, 607, 713, 7574, 568, 267, 835, 1590, 7703, 538, 2247, 602, 891, 2021, 779, 2984, 616, 1869, 513, 23019, 4062, 540, 5708, 563, 1607, 7574, 568, 10575, 14823, 538, 1082, 2081, 543, 18953, 593, 519, 16882, 540, 2021, 543, 875, 2021, 616, 1419, 16876, 547, 519, 1686, 540, 2367, 269, 1452, 19803, 616, 2938, 543, 3989, 538, 6935, 547, 8361, 23446, 267, 713, 7574, 3947, 873, 519, 4316, 547, 2736, 2476, 689, 1373, 1175, 835, 2262, 538, 22565, 269, 901, 2636, 873, 547, 581, 811, 982, 1175, 513, 1297, 543, 513, 711, 577, 538, 8361, 779, 12966, 269, 901, 7574, 3947, 891, 2021, 513, 5639, 602, 2760, 1185, 538, 1686, 269, 634, 1397, 949, 711, 581, 7357, 4977, 267, 855, 621, 568, 519, 957, 540, 1065, 1601, 31757, 519, 2239, 543, 4657, 621, 547, 1331, 873, 602, 568, 3532, 269, 898, 568, 513, 4190, 1397, 543, 519, 5641, 17581, 568, 4502, 513, 6432, 269, 898, 568, 4277, 547, 4063, 602, 1142, 10348, 814, 1200, 1378, 2189, 28076, 267, 543, 1142, 896, 13231, 344, 270, 1873, 532, 723, 741, 1378, 2189, 28076, 602, 15320, 689, 519, 19803, 269, 901, 1397, 22842, 519, 23141, 540, 2021, 543, 568, 25473, 267, 835, 540, 519, 1655, 1919, 602, 2479, 5949, 547, 519, 7574, 2146, 269, 0, 5308, 11190, 3340, 519, 946, 540, 2123, 8825, 3937, 630, 13048, 292, 264, 547, 2569, 9441, 4598, 547, 10898, 950, 4702, 543, 11889, 8060, 616, 711, 15164, 610, 2500, 269, 8616, 1239, 689, 519, 13163, 540, 8534, 10803, 630, 289, 11862, 264, 1397, 602, 540, 519, 4600, 945, 13455, 513, 3099, 540, 593, 7308, 18191, 984, 7063, 267, 519, 5318, 5354, 941, 711, 9849, 623, 14154, 269, 898, 568, 1100, 1507, 4898, 1946, 1346, 3743, 585, 11832, 3106, 6336, 3108, 540, 3207, 20468, 827, 3106, 4145, 563, 763, 4161, 5170, 547, 22321, 4600, 547, 5957, 3750, 270, 2183, 4027, 269, 15526, 6499, 547, 1413, 31042, 609, 2413, 267, 909, 3562, 15082, 543, 7328, 344, 2363, 1168, 792, 269, 1717, 267, 519, 3099, 540, 2212, 5546, 585, 5256, 543, 4775, 4600, 6799, 519, 1966, 540, 1804, 2212, 4882, 332, 718, 2212, 543, 3388, 538, 1063, 269, 3973, 7156, 1590, 581, 2016, 547, 4837, 610, 575, 17344, 548, 267, 960, 1858, 267, 4527, 540, 11935, 538, 519, 2011, 543, 5739, 12345, 267, 799, 5012, 547, 519, 1585, 2010, 540, 7828, 512, 842, 269, 2353, 891, 2188, 4137, 538, 8159, 519, 2511, 267, 3514, 543, 1599, 540, 3750, 270, 2183, 4027, 269, 0, 268, 476, 272, 1548, 568, 513, 1035, 549, 10973, 27223, 888, 268, 476, 273, 1548, 616, 930, 27223, 1913, 888, 268, 476, 274, 1548, 568, 606, 1383, 540, 513, 1035, 549, 10973, 6648, 888, 268, 476, 275, 1548, 798, 596, 2328, 538, 513, 4406, 550, 1149, 3556, 6648, 888, 268, 476, 276, 1548, 1281, 642, 14489, 1796, 585, 593, 27223, 4303, 888, 268, 476, 277, 1215, 798, 596, 2328, 606, 1035, 549, 10973, 6648, 888, 268, 476, 278, 1548, 568, 513, 1434, 27223, 5048, 888, 268, 476, 279, 1548, 1281, 27223, 1611, 888, 268, 476, 280, 1548, 568, 519, 1034, 2442, 27223, 779, 4303, 3090, 888, 268, 476, 1015, 1548, 568, 519, 2262, 1035, 549, 10973, 6648, 888, 268, 476, 1556, 1548, 2306, 513, 1434, 1035, 549, 10973, 6648, 888, 268, 476, 1321, 4208, 568, 25360, 332, 476, 15686, 606, 1035, 549, 10973, 888, 268, 476, 1724, 2052, 579, 581, 1250, 1130, 20634, 888, 268, 476, 1691, 1215, 798, 596, 6999, 707, 2648, 8414, 27223, 888, 268, 476, 1428, 1215, 798, 596, 2161, 8414, 4406, 550, 1149, 4303, 888, 1432, 568, 513, 1035, 549, 10973, 27223, 888, 2304, 1035, 549, 10973, 568, 4646, 950, 519, 1101, 4484, 538, 1142, 1899, 28542, 856, 513, 5048, 267, 2542, 1283, 547, 5377, 563, 1432, 616, 930, 27223, 1913, 888, 11749, 20634, 779, 4303, 18500, 6478, 5903, 454, 268, 23507, 337, 269, 740, 2610, 269, 740, 648, 269, 15754, 269, 15754, 622, 563, 268, 31148, 269, 581, 9553, 269, 581, 879, 269, 11537, 269, 914, 8527, 1117, 563, 268, 17711, 269, 3556, 269, 1286, 31766, 269, 19259, 539, 269, 10027, 880, 563, 268, 29593, 1782, 269, 4266, 269, 15210, 269, 30164, 269, 7287, 563, 268, 9784, 269, 679, 600, 1819, 269, 1439, 792, 618, 269, 23508, 269, 661, 4592, 563, 268, 2887, 538, 2648, 269, 5988, 269, 535, 1014, 322, 19902, 269, 18723, 269, 1166, 7398, 563, 268, 10516, 269, 8004, 23136, 269, 28551, 269, 28551, 3556, 563, 268, 2295, 269, 2295, 628, 13681, 269, 9702, 269, 9932, 269, 29751, 563, 1432, 568, 606, 1383, 540, 513, 1035, 549, 10973, 6648, 888, 2304, 1035, 549, 10973, 6648, 568, 513, 6648, 1141, 519, 1101, 4484, 540, 1142, 1899, 630, 528, 519, 2063, 4484, 540, 1142, 1899, 264, 28542, 856, 513, 1808, 2262, 269, 6201, 540, 3600, 549, 10973, 7313, 655, 281, 6129, 3333, 710, 8337, 1250, 19462, 267, 7201, 4248, 1187, 609, 1250, 2828, 563, 1432, 798, 596, 2328, 538, 513, 4406, 550, 1149, 3556, 6648, 888, 1432, 2110, 9954, 666, 596, 2328, 538, 707, 3556, 888, 268, 700, 3437, 596, 2899, 267, 2648, 596, 1869, 267, 700, 3437, 596, 1287, 267, 543, 2141, 786, 563, 268, 700, 568, 585, 2048, 331, 5922, 685, 649, 1185, 2059, 519, 1259, 563, 268, 634, 9782, 568, 2699, 2676, 268, 594, 2648, 707, 12837, 267, 707, 3068, 267, 543, 707, 4064, 563, 268, 3733, 2648, 267, 596, 1491, 1250, 7362, 2476, 563, 268, 681, 4680, 616, 2699, 2676, 268, 968, 5472, 596, 991, 568, 2648, 563, 268, 968, 9213, 568, 27223, 779, 4303, 563, 1432, 1281, 642, 14489, 1796, 585, 593, 27223, 4303, 888, 2080, 779, 782, 596, 991, 547, 917, 827, 519, 5988, 4332, 8768, 281, 519, 642, 14489, 269, 6936, 12791, 269, 634, 6653, 1606, 1417, 539, 642, 14489, 8768, 23327, 5168, 543, 14017, 267, 1247, 849, 18220, 532, 513, 2631, 540, 16434, 344, 267, 5289, 7326, 543, 21548, 563, 1692, 798, 596, 2328, 606, 1035, 549, 10973, 6648, 888, 2414, 1711, 606, 1035, 549, 10973, 267, 1246, 891, 2947, 2653, 3268, 912, 268, 32341, 1018, 547, 2328, 827, 563, 268, 3503, 707, 2262, 1524, 19794, 563, 268, 11020, 10445, 1913, 610, 2453, 602, 4766, 707, 2856, 563, 268, 9255, 707, 16540, 539, 1913, 610, 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 ]
[ 11334, 2171, 4043, 547, 4998, 1125, 6689, 607, 513, 1416, 16451, 942, 267, 855, 6107, 4805, 3091, 1100, 13104, 1996, 519, 3929, 9292, 1206, 543, 911, 30864, 1082, 1453, 3068, 269, 5753, 666, 581, 4280, 547, 4308, 609, 2042, 8151, 689, 15268, 547, 513, 1007, 4928, 547, 11648, 676, 15032, 610, 1256, 6057, 693, 1753, 269, 634, 2702, 547, 8853, 5103, 891, 2591, 14340, 689, 519, 1983, 540, 6043, 11065, 549, 577, 675, 18025, 26241, 2280, 630, 20464, 476, 1001, 273, 264, 276, 269, 29753, 513, 21988, 22895, 1681, 20556, 281, 15775, 2659, 22895, 1681, 20556, 5510, 547, 513, 6153, 3399, 19522, 593, 875, 547, 1020, 513, 3811, 29013, 2078, 538, 519, 26225, 12983, 8433, 781, 22895, 1681, 5358, 11065, 549, 577, 675, 18025, 26241, 2280, 476, 277, 269, 29753, 513, 21988, 22895, 1681, 20556, 281, 9669, 585, 22895, 4315, 19522, 585, 6497, 4315, 19801, 538, 519, 26225, 12983, 8433, 781, 22895, 1681, 5358, 593, 875, 547, 1020, 513, 3811, 29013, 2078, 267, 1519, 24584, 1489, 855, 711, 28986, 267, 26621, 707, 7029, 543, 14379, 5693, 11065, 549, 577, 675, 18025, 26241, 2280, 476, 278, 10422, 2134, 1108, 4065, 543, 9751, 689, 9177, 4149, 24594, 543, 5564, 4275, 1017, 21126, 1607, 1867, 267, 7512, 5626, 30157, 543, 7855, 547, 5965, 519, 4182, 779, 2104, 16895, 547, 2841, 1836, 543, 31635, 1382, 543, 4196, 519, 2479, 577, 4474, 13795, 540, 938, 5051, 18371, 4182, 11065, 549, 577, 675, 18025, 26241, 2280, 476, 279, 23130, 14268, 9701, 5700, 6168, 9615, 540, 19884, 1656, 16508, 15136, 538, 18014, 5753, 2304, 7650, 540, 1271, 2188, 538, 23235, 543, 8156, 8965, 543, 3929, 4713, 538, 1762, 1453, 267, 607, 1134, 607, 5574, 971, 607, 21911, 543, 6646, 11065, 549, 577, 675, 18025, 26241, 2280, 476, 280, 269, 29753, 513, 21988, 22895, 1681, 20556, 281, 9669, 585, 22895, 832, 19522, 585, 23003, 19801, 538, 519, 26225, 12983, 8433, 781, 22895, 1681, 5358, 593, 875, 547, 1020, 513, 3811, 29013, 2078, 267, 1519, 4259, 6788, 543, 4509, 3346, 11065, 549, 577, 675, 18025, 26241, 2280, 476, 1015, 2529, 584, 341, 1516, 543, 28202, 1516, 538, 6298, 8598, 1607, 6668, 3391, 547, 24243, 568, 2966, 547, 2232, 2242, 602, 723, 3144, 1747, 1282, 519, 2063, 476, 276, 1296, 799, 949, 13497, 1860, 519, 1377, 540, 1967, 540, 2021, 543, 6803, 18441, 13197, 11678, 538, 4081, 5054, 11065, 549, 577, 675, 18025, 26241, 2280, 19881, 476, 272, 476, 273, 476, 274, 3267, 8921, 25684, 7170, 589, 19053, 7170, 2098, 5025, 1715, 652, 3689, 6196, 652, 3689, 23037, 676, 281, 5084, 23615, 2316, 306, 30121, 11778, 476, 272, 1700, 1015, 540, 476, 3451, 585, 834, 29662, 577, 675, 18025, 26241, 2280, 257, 311, 1644, 547, 834, 7419, 7797, 281, 14905, 1975, 976, 832, 5358, 693, 519, 29389, 0, 4785, 476, 4792, 279, 25784, 275, 645, 273, 454, 11514, 743, 2216, 568, 513, 2241, 543, 2922, 1505, 585, 6721, 17860, 18422, 517, 11103, 267, 799, 616, 1769, 543, 3002, 15564, 6819, 269, 634, 11103, 267, 2348, 513, 3444, 3296, 540, 16658, 269, 476, 272, 267, 616, 3812, 676, 8108, 513, 27794, 4494, 609, 513, 6404, 26543, 2497, 540, 27794, 4083, 543, 10001, 998, 16496, 18682, 517, 2305, 540, 513, 6712, 540, 27794, 21449, 622, 11103, 609, 519, 946, 540, 12659, 8932, 267, 4553, 676, 4744, 6295, 513, 6712, 799, 3788, 5667, 777, 517, 1881, 267, 609, 519, 946, 540, 606, 5214, 19857, 563, 272, 269, 589, 1505, 585, 6721, 17860, 18422, 517, 11103, 267, 16030, 519, 3268, 540, 912, 338, 777, 517, 4328, 27794, 21449, 622, 11103, 609, 18839, 540, 476, 273, 269, 271, 547, 476, 274, 269, 271, 630, 659, 564, 2305, 540, 476, 3393, 547, 476, 7830, 269, 276, 8472, 547, 12990, 476, 2767, 547, 476, 4037, 260, 540, 519, 2698, 1035, 25485, 2516, 540, 519, 27794, 21449, 622, 11103, 609, 18038, 2643, 2516, 282, 543, 454, 323, 1170, 6295, 606, 6418, 4494, 540, 519, 27794, 21449, 622, 11103, 547, 1106, 513, 17860, 13570, 267, 1767, 6418, 4494, 6967, 5667, 777, 517, 1881, 1310, 519, 18682, 517, 4328, 1900, 563, 273, 269, 634, 1505, 607, 1305, 8521, 538, 454, 274, 269, 634, 1505, 607, 1305, 8521, 538, 454, 275, 269, 634, 1505, 607, 1305, 8521, 538, 454, 276, 269, 4591, 869, 18422, 517, 11103, 3812, 676, 519, 1505, 540, 454, 763, 1459, 8798, 12211, 547, 513, 3209, 1505, 585, 6721, 17860, 18422, 517, 11103, 267, 799, 616, 1769, 543, 3002, 15564, 6819, 267, 538, 513, 2241, 543, 13476, 7874, 6073, 563, 305, 599, 517, 11103, 267, 799, 616, 5841, 11103, 609, 519, 1482, 3114, 2497, 607, 27794, 267, 616, 3989, 607, 1036, 10273, 730, 27794, 11103, 267, 538, 799, 476, 1428, 260, 610, 7864, 18038, 2643, 2516, 616, 2655, 21114, 630, 293, 756, 619, 11061, 267, 2494, 659, 1335, 10197, 514, 18379, 631, 269, 13428, 576, 267, 1546, 330, 12027, 533, 269, 280, 1691, 267, 476, 2735, 276, 1070, 543, 2356, 1031, 538, 1164, 17263, 3156, 609, 15028, 17271, 21386, 267, 1808, 8904, 267, 543, 2631, 540, 5905, 563, 309, 4593, 846, 18422, 517, 630, 1877, 12898, 267, 5219, 547, 3274, 607, 2048, 2001, 517, 32426, 666, 581, 3812, 676, 18343, 513, 9770, 27794, 1535, 13183, 622, 3070, 267, 5423, 676, 4946, 513, 9770, 28355, 3070, 543, 11483, 273, 547, 27794, 267, 883, 606, 25694, 3070, 540, 16247, 545, 3679, 543, 13058, 23253, 269, 6270, 1505, 729, 5010, 1242, 267, 855, 2487, 9086, 267, 538, 3210, 547, 2825, 4145, 31827, 689, 2011, 5533, 267, 814, 1044, 21892, 547, 1118, 519, 1505, 24631, 1317, 621, 7472, 5739, 6878, 971, 607, 11483, 273, 563, 11997, 267, 621, 568, 606, 1843, 540, 519, 1459, 8798, 547, 1683, 513, 5010, 1505, 585, 6721, 17860, 18422, 517, 11103, 267, 799, 616, 1769, 543, 3002, 15564, 6819, 267, 538, 513, 2241, 543, 2922, 6073, 563, 2414, 9585, 519, 1657, 1843, 267, 519, 1459, 8798, 2488, 513, 1505, 585, 6721, 17860, 18422, 517, 11103, 267, 799, 13408, 519, 3268, 540, 18682, 517, 4328, 27794, 21449, 622, 11103, 609, 513, 4110, 540, 1035, 25485, 18839, 540, 476, 273, 269, 271, 547, 476, 274, 269, 271, 630, 659, 564, 2305, 540, 476, 3393, 547, 476, 7830, 269, 276, 8472, 676, 946, 540, 606, 25694, 3070, 540, 2178, 543, 4617, 12659, 8932, 538, 971, 513, 1259, 607, 547, 12990, 476, 2767, 547, 476, 4037, 260, 540, 519, 2698, 1035, 25485, 2516, 540, 27794, 21449, 622, 11103, 609, 18038, 2643, 2516, 538, 1931, 547, 1106, 513, 27794, 4494, 609, 513, 6404, 26543, 2497, 540, 27794, 4083, 543, 7641, 282, 4553, 676, 4744, 6295, 513, 27794, 21449, 622, 6712, 799, 568, 711, 18682, 517, 1881, 676, 946, 540, 606, 5214, 19857, 563, 763, 1657, 543, 824, 3615, 267, 2934, 543, 824, 5383, 540, 519, 1459, 8798, 786, 581, 811, 5693, 6956, 689, 519, 1739, 2143, 6609, 3144, 538, 14966, 609, 519, 18913, 12400, 267, 538, 799, 912, 20983, 269, 476, 272, 568, 513, 3444, 3296, 531, 2070, 540, 17860, 27794, 11103, 2687, 547, 519, 1459, 8798, 563, 763, 1459, 8798, 568, 6353, 676, 519, 9864, 18682, 517, 2305, 540, 27794, 21449, 622, 11103, 543, 519, 4744, 6295, 540, 5667, 777, 517, 1881, 27794, 21449, 622, 538, 6721, 17860, 27794, 11103, 563, 2690, 946, 607, 513, 6151, 1570, 585, 17860, 18422, 517, 11103, 267, 27794, 21449, 622, 814, 513, 4110, 540, 1035, 25485, 18839, 540, 476, 273, 269, 271, 547, 476, 274, 269, 271, 630, 659, 564, 2305, 540, 476, 3393, 547, 476, 7830, 269, 276, 260, 1916, 1103, 13076, 609, 519, 1459, 8798, 267, 27794, 21449, 622, 11103, 616, 18682, 517, 1881, 538, 971, 513, 1259, 607, 547, 12990, 476, 2767, 547, 476, 4037, 260, 540, 519, 2698, 1035, 25485, 2516, 540, 27794, 21449, 622, 11103, 609, 18038, 2643, 2516, 563, 763, 18682, 517, 2305, 666, 581, 6913, 676, 8156, 27794, 21449, 622, 609, 513, 4999, 540, 2178, 543, 4617, 12659, 8932, 538, 835, 8602, 610, 1079, 31725, 563, 14300, 540, 12659, 8932, 7135, 3730, 538, 519, 18682, 517, 2305, 540, 519, 1459, 8798, 1331, 12659, 8932, 4496, 18038, 1938, 267, 971, 607, 9770, 28355, 267, 12659, 8932, 3618, 4496, 18038, 1938, 267, 971, 607, 7513, 28355, 267, 543, 12659, 8932, 4496, 20919, 267, 971, 607, 9770, 19941, 269, 6270, 12659, 8932, 7135, 949, 581, 1031, 10446, 610, 538, 4999, 609, 513, 18682, 517, 2305, 3260, 518, 269, 6201, 540, 20749, 2139, 18682, 517, 2305, 3260, 619, 1331, 17252, 3036, 12442, 12135, 289, 540, 9705, 20963, 15733, 267, 799, 568, 513, 8485, 28016, 1759, 18682, 517, 2305, 3260, 518, 282, 543, 918, 293, 17252, 3036, 12442, 19364, 268, 2412, 540, 9705, 20963, 15733, 267, 667, 312, 298, 268, 12208, 276, 540, 7379, 303, 5308, 11190, 3213, 1421, 3567, 267, 667, 311, 312, 268, 1015, 301, 540, 7379, 303, 5308, 11190, 3213, 1421, 3567, 267, 524, 6471, 710, 623, 2464, 540, 19294, 30990, 296, 595, 4047, 300, 13965, 20796, 16775, 267, 700, 31813, 1421, 3567, 267, 524, 6471, 710, 623, 5085, 540, 19294, 30990, 296, 595, 4047, 300, 13965, 20796, 16775, 267, 700, 31813, 1421, 3567, 267, 524, 6471, 710, 623, 9128, 540, 19294, 30990, 296, 595, 4047, 300, 13965, 20796, 16775, 267, 700, 31813, 1421, 3567, 267, 543, 19301, 8104, 2894, 623, 9169, 540, 667, 2801, 8479, 11906, 267, 3213, 1421, 9705, 267, 782, 1373, 844, 15715, 776, 16139, 1756, 2861, 18682, 517, 1881, 3260, 619, 563, 1103, 513, 18682, 517, 2305, 1900, 267, 12659, 8932, 568, 1031, 538, 519, 1106, 540, 513, 476, 1015, 547, 476, 3374, 260, 25694, 3070, 1759, 593, 27794, 21449, 622, 11103, 267, 543, 519, 27794, 21449, 622, 11103, 616, 18682, 517, 1881, 547, 27794, 11103, 676, 1019, 6137, 519, 27794, 21449, 622, 11103, 883, 519, 25694, 3070, 693, 23295, 476, 3583, 4113, 595, 269, 547, 476, 9873, 4113, 595, 269, 585, 476, 272, 547, 476, 6344, 3764, 2899, 610, 7466, 865, 602, 476, 2767, 547, 476, 4037, 260, 540, 519, 2698, 1035, 25485, 2516, 540, 519, 27794, 21449, 622, 11103, 666, 581, 2655, 21114, 609, 18038, 2643, 2516, 267, 855, 538, 799, 519, 1297, 543, 2783, 540, 519, 31725, 568, 711, 3908, 563, 763, 632, 659, 1214, 3175, 609, 2178, 12659, 8932, 11729, 1114, 5232, 540, 1035, 25485, 18839, 693, 519, 6418, 543, 9018, 6106, 269, 769, 1469, 267, 950, 1373, 5701, 609, 2178, 12659, 8932, 267, 27794, 21449, 622, 11103, 616, 18682, 517, 1881, 7620, 693, 519, 9018, 4494, 269, 22353, 267, 16496, 18682, 517, 2305, 666, 581, 6913, 1152, 593, 519, 2627, 4494, 540, 27794, 21449, 622, 11103, 267, 4611, 538, 1114, 5232, 540, 18839, 1063, 519, 9018, 543, 6418, 6106, 540, 519, 11103, 563, 22069, 28169, 540, 971, 27794, 21449, 622, 11103, 538, 606, 5214, 19857, 9775, 609, 519, 4110, 540, 18839, 269, 4475, 267, 5413, 666, 581, 3144, 540, 519, 1114, 1151, 889, 1988, 538, 6721, 17860, 27794, 11103, 269, 634, 6418, 4494, 540, 2627, 1606, 777, 517, 1881, 21449, 622, 11103, 666, 581, 3362, 15702, 538, 606, 5214, 19857, 19962, 547, 922, 10731, 1035, 25485, 2516, 267, 1247, 519, 9018, 4494, 568, 711, 15702, 1317, 1034, 540, 519, 1035, 25485, 2516, 538, 519, 9018, 4494, 616, 2655, 21114, 609, 18038, 2643, 2516, 563, 26796, 18682, 517, 2305, 540, 27794, 1019, 659, 564, 622, 609, 12659, 8932, 267, 513, 7636, 2497, 540, 27794, 21449, 622, 568, 10736, 547, 513, 7636, 2497, 540, 27794, 538, 519, 9018, 4494, 540, 519, 18682, 517, 1881, 11103, 267, 609, 598, 1260, 26938, 30337, 618, 540, 7636, 11800, 689, 606, 993, 6973, 748, 1106, 547, 513, 26543, 1106, 676, 24208, 610, 24386, 563, 1805, 24780, 2079, 4951, 602, 513, 6404, 26543, 2497, 540, 27794, 4083, 543, 27794, 10001, 568, 1459, 538, 519, 18682, 517, 1881, 27794, 6775, 267, 609, 513, 1808, 8904, 568, 476, 272, 269, 6246, 547, 476, 272, 269, 2004, 563, 26877, 755, 13577, 267, 855, 1875, 29438, 1746, 1806, 540, 30177, 267, 799, 666, 581, 1031, 585, 4744, 6295, 27794, 21449, 622, 13980, 856, 540, 519, 6418, 4494, 540, 519, 13148, 18682, 517, 1881, 11103, 267, 949, 1331, 2027, 3446, 556, 698, 757, 540, 21449, 821, 267, 3897, 14007, 845, 29524, 267, 3897, 14007, 659, 564, 821, 267, 570, 11902, 267, 543, 476, 273, 2173, 996, 20293, 996, 12935, 563, 6097, 547, 519, 1459, 8798, 267, 17860, 27794, 11103, 616, 3812, 676, 1019, 6137, 13148, 18682, 517, 1881, 27794, 21449, 622, 11103, 883, 476, 273, 2173, 996, 20293, 996, 12935, 3070 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17577, 538, 519, 476, 2735, 271, 338, 269, 634, 19797, 2229, 4625, 454, 1492, 1797, 540, 2504, 454, 663, 3964, 513, 4971, 4346, 454, 269, 634, 4346, 8057, 6385, 1282, 519, 476, 4198, 271, 338, 855, 30281, 1524, 538, 519, 476, 3422, 271, 338, 543, 476, 3192, 271, 338, 543, 24715, 730, 538, 519, 476, 2735, 271, 338, 269, 634, 2797, 2916, 729, 3810, 1065, 4809, 1282, 519, 476, 4198, 271, 338, 267, 1519, 3875, 454, 663, 7366, 540, 5215, 540, 2797, 14586, 267, 855, 2968, 811, 1930, 543, 27031, 538, 519, 3735, 476, 3422, 271, 338, 267, 28285, 538, 12138, 14878, 25155, 2131, 454, 781, 5718, 538, 519, 476, 3422, 279, 454, 267, 799, 6836, 547, 1711, 834, 25791, 1143, 609, 513, 1480, 3068, 257, 543, 5310, 1256, 6338, 2797, 454, 269, 901, 729, 585, 322, 4601, 8694, 676, 454, 2421, 782, 32160, 623, 716, 454, 332, 1897, 2477, 609, 519, 9868, 540, 27597, 454, 517, 476, 2641, 4864, 476, 3422, 279, 563, 763, 12289, 729, 4553, 676, 513, 10792, 1982, 540, 834, 31863, 1436, 454, 257, 538, 519, 3735, 476, 3422, 271, 338, 543, 519, 476, 3192, 271, 338, 269, 19402, 476, 2735, 280, 267, 519, 2797, 10661, 16941, 593, 24890, 540, 519, 11685, 269, 19837, 6342, 3370, 454, 514, 476, 3192, 278, 267, 543, 519, 1101, 540, 513, 1007, 5951, 540, 17600, 941, 2938, 538, 476, 2735, 279, 269, 9737, 476, 3707, 279, 543, 476, 2735, 280, 811, 982, 476, 7742, 267, 1822, 16231, 338, 543, 30355, 6545, 941, 2366, 547, 7890, 267, 543, 936, 476, 6110, 267, 1822, 32164, 3603, 563, 1103, 5437, 476, 2735, 280, 267, 16231, 657, 21754, 25474, 8120, 547, 513, 12666, 9111, 998, 519, 12560, 834, 309, 10679, 339, 7169, 454, 2668, 1717, 267, 30355, 752, 3084, 17050, 22541, 543, 593, 476, 272, 5130, 476, 1960, 274, 267, 519, 454, 12248, 787, 25678, 8237, 454, 20041, 519, 4830, 16231, 6243, 543, 30355, 25474, 454, 269, 5637, 2477, 4682, 998, 2804, 15024, 543, 454, 267, 609, 519, 9837, 540, 2870, 513, 454, 269, 901, 1184, 729, 7361, 3811, 282, 538, 476, 1220, 277, 519, 16231, 6243, 729, 18931, 676, 519, 2622, 7813, 607, 513, 834, 16467, 539, 2197, 20350, 663, 538, 476, 1220, 280, 519, 5274, 4886, 12039, 454, 17213, 539, 621, 607, 513, 4182, 540, 834, 25802, 4400, 5274, 4886, 8487, 5804, 476, 1960, 274, 998, 476, 1001, 273, 267, 519, 454, 28347, 540, 519, 16231, 6243, 454, 13195, 5697, 676, 513, 4745, 8400, 540, 519, 14618, 585, 513, 2947, 4458, 2165, 267, 609, 1100, 811, 982, 1079, 15654, 2474, 269, 4595, 476, 1001, 274, 519, 16232, 9550, 568, 1463, 269, 634, 7022, 568, 513, 6101, 2212, 540, 1533, 454, 5976, 3908, 1808, 7060, 267, 1034, 11932, 547, 2132, 12014, 547, 519, 14618, 267, 9930, 3729, 13338, 5480, 454, 9080, 2471, 585, 519, 14130, 781, 13170, 543, 23271, 519, 14618, 896, 1978, 2027, 543, 8966, 6381, 269, 1261, 849, 6966, 338, 519, 6305, 14012, 267, 607, 1134, 519, 824, 2818, 540, 519, 22277, 593, 513, 11556, 676, 519, 6305, 14012, 269, 3245, 476, 1001, 274, 593, 267, 519, 7022, 568, 11221, 676, 519, 1857, 267, 711, 519, 14618, 563, 13195, 519, 1101, 2047, 11221, 454, 763, 11788, 10579, 568, 519, 2212, 540, 2229, 543, 530, 3658, 9645, 7060, 267, 1519, 519, 1318, 547, 1305, 519, 16786, 585, 1034, 4914, 543, 6469, 3609, 267, 20834, 1125, 519, 25931, 5354, 543, 3442, 2229, 26110, 563, 763, 2818, 540, 519, 25679, 540, 3493, 583, 625, 616, 11221, 585, 513, 2185, 4458, 2165, 676, 454, 267, 609, 513, 476, 276, 14999, 269, 1703, 616, 476, 1691, 13359, 13102, 267, 9838, 547, 519, 2197, 781, 11889, 4525, 269, 634, 25679, 540, 3493, 583, 625, 267, 519, 24288, 547, 519, 454, 290, 14864, 2817, 7027, 454, 267, 814, 519, 7060, 543, 9021, 540, 519, 1631, 1219, 9417, 5313, 14618, 540, 519, 5449, 16231, 657, 21754, 25474, 563, 763, 2818, 540, 519, 14130, 616, 11221, 538, 2582, 5498, 520, 454, 2421, 1079, 15778, 20359, 13359, 454, 1721, 513, 3670, 4458, 2165, 267, 609, 835, 21017, 11221, 1169, 1256, 1032, 538, 519, 15489, 269, 634, 1101, 9550, 729, 538, 476, 1960, 277, 267, 585, 18312, 2474, 269, 901, 11460, 568, 24018, 593, 519, 772, 2529, 269, 14130, 454, 267, 855, 1142, 14218, 1890, 568, 10199, 519, 1482, 2450, 543, 519, 13359, 1062, 1031, 568, 513, 1079, 15778, 20359, 269, 634, 14130, 568, 10002, 641, 983, 1851, 519, 1857, 543, 23119, 689, 1970, 9550, 2490, 719, 267, 2949, 10199, 476, 1789, 260, 538, 519, 1101, 5180, 543, 476, 736, 260, 538, 519, 2034, 563, 763, 16231, 11439, 4229, 2874, 540, 519, 454, 663, 540, 7463, 1489, 4559, 269, 634, 5518, 540, 519, 16231, 6243, 568, 2155, 6387, 2987, 268, 27815, 454, 1993, 519, 11439, 4229, 269, 769, 476, 1220, 275, 519, 7952, 9927, 3294, 883, 513, 4628, 3318, 3919, 543, 25471, 4108, 3028, 729, 27618, 269, 634, 2197, 814, 1044, 513, 4759, 540, 24114, 454, 26238, 476, 1321, 4728, 476, 1960, 280, 269, 16470, 7836, 568, 1472, 476, 272, 269, 279, 260, 540, 519, 12654, 630, 1220, 277, 1040, 17497, 267, 607, 513, 4759, 540, 24114, 267, 519, 16231, 4108, 616, 10283, 538, 4959, 28425, 454, 6016, 725, 543, 723, 7980, 538, 15787, 454, 269, 6301, 3937, 2882, 281, 3818, 268, 14337, 25881, 454, 297, 3008, 476, 4375, 717, 686, 5155, 454, 267, 8396, 8484, 454, 288, 3266, 700, 268, 14689, 1325, 8619, 454, 267, 2413, 1242, 4323, 21484, 641, 1562, 454, 267, 6186, 1819, 6472, 454, 663, 16231, 2413, 1242, 13688, 570, 268, 7761, 454, 7712, 476, 1220, 271, 267, 519, 16231, 6243, 814, 1044, 5258, 883, 454, 264, 543, 519, 3854, 2749, 540, 454, 269, 3962, 3148, 814, 922, 1378, 11221, 6237, 10198, 630, 330, 571, 329, 12921, 2946, 1990, 770, 1575, 527, 601, 560, 17383, 454, 5416, 6237, 17294, 1040, 769, 26285, 826, 267, 519, 10198, 543, 16232, 7060, 616, 13401, 676, 519, 2749, 14643, 543, 519, 25650, 563, 763, 4587, 29235, 29350, 454, 264, 1519, 1614, 834, 560, 520, 21881, 4872, 257, 630, 23719, 26285, 826, 267, 799, 1185, 2027, 4567, 264, 4503, 1034, 540, 741, 2956, 538, 476, 1960, 280, 538, 606, 11889, 6963, 282, 789, 2611, 607, 16857, 15523, 543, 16295, 540, 1585, 8371, 540, 1533, 7245, 563, 1475, 26285, 826, 630, 303, 571, 3873, 264, 320, 454, 1475, 295, 15442, 333, 6403, 544, 384, 505, 560, 334, 16217, 3873, 454, 1475, 6239, 4425, 1335, 1014, 16323, 454, 1475, 3162, 4425, 1335, 1014, 16323, 454, 1475, 1773, 2763, 385, 486, 16323, 454, 1475, 20913, 990, 344, 966, 776, 16323, 454, 1475, 3331, 504, 560, 6403, 562, 611, 6997, 655, 16323, 454, 1475, 383, 504, 560, 6403, 562, 611, 6997, 655, 454, 1475, 8644, 699, 322, 16323, 454, 1475, 670, 8565, 322, 918, 337, 5451, 21754, 2946, 16323, 454, 1475, 3474, 706, 321, 823, 16323, 454, 1475, 9986, 558, 537, 322, 16323, 454, 1475, 5651, 822, 1014, 4149, 3796, 1014, 16323, 454, 1475, 3162, 5651, 822, 1014, 16323, 454, 1475, 2098, 331, 27713, 16323, 454, 1475, 966, 344, 810, 25155, 2088, 16323, 454, 763, 16231, 6243, 6013, 6140, 1063, 4234, 6421, 454, 663, 476, 7906, 4113, 715, 454, 5416, 1507, 1858, 6013, 5087, 540, 476, 7906, 4113, 1070, 543, 1279, 6421, 476, 1321, 4113, 454, 663, 476, 866, 4113, 661, 454, 763, 16231, 5251, 568, 9765, 5944, 9867, 563, 267, 547, 519, 7178, 267, 5161, 540, 513, 16935, 27071, 676, 519, 454, 264, 543, 519, 454, 31034, 267, 11303, 676, 6140, 1970, 10239, 267, 971, 607, 519, 918, 337, 330, 517, 334, 20795, 324, 454, 9792, 540, 519, 14181, 26347, 454, 269, 634, 5207, 1448, 538, 519, 2197, 2676, 520, 476, 272, 267, 2568, 273, 544, 630, 276, 267, 16348, 10264, 1070, 568, 4092, 1934, 269, 5651, 822, 807, 267, 519, 9456, 851, 540, 519, 2197, 267, 568, 849, 3833, 554, 11035, 269, 898, 568, 27071, 5631, 676, 519, 5651, 6072, 5211, 454, 267, 855, 621, 849, 3568, 519, 2707, 540, 519, 454, 12850, 689, 519, 2244, 6674, 539, 16231, 6243, 8928, 547, 1614, 1114, 15798, 281, 519, 454, 663, 4563, 7256, 454, 269, 634, 16231, 6243, 849, 682, 1162, 519, 454, 267, 513, 476, 1789, 267, 1822, 30026, 31475, 516, 630, 278, 269, 275, 14092, 516, 994, 514, 519, 1647, 540, 519, 31297, 454, 291, 4169, 267, 799, 729, 13752, 547, 16231, 657, 21754, 25474, 676, 9137, 476, 3607, 274, 540, 519, 15521, 540, 12411, 320, 14792, 454, 267, 547, 1450, 519, 2244, 6674, 539, 2197, 513, 1747, 1141, 5370, 16487, 1524, 5757, 1223, 581, 11843, 547, 694, 6210, 532, 9635, 269, 634, 8513, 26871, 1206, 547, 5125, 538, 476, 1708, 279, 563, 763, 16231, 6243, 814, 513, 22465, 454, 267, 609, 3636, 28782, 543, 4411, 267, 31063, 543, 6777, 344, 24475, 269, 634, 2837, 3017, 1063, 4832, 543, 5162, 568, 5266, 1164, 267, 1813, 547, 519, 2244, 6674, 539, 10923, 2990, 563, 20751, 519, 16231, 6243, 267, 5210, 4268, 7494, 267, 4470, 593, 519, 15038, 269, 769, 2489, 267, 693, 2362, 31556, 267, 519, 5210, 6175, 543, 454, 27463, 1162, 269, 634, 6632, 11687, 1858, 538, 519, 16231, 6243, 568, 1336, 1472, 645, 6403, 331, 383, 377, 8000, 758, 454, 514, 808, 714, 5028, 15142, 454, 663, 519, 1743, 5006, 3148, 568, 519, 700, 1735, 344, 10588, 454, 1729, 519, 22070, 540, 26285, 826, 454, 269, 6271, 1271, 3815, 568, 519, 3892, 540, 519, 10239, 282, 4061, 267, 519, 2916, 568, 3833, 9867, 563, 4263, 519, 5207, 8445, 540, 454, 263, 272, 267, 2568, 273, 544, 610, 476, 276, 267, 16348, 10264, 1070, 519, 3328, 2837, 568, 1152, 6567, 271, 269, 275, 11019, 290, 630, 4029, 11019, 293, 1070, 6466, 538, 519, 1970, 4133, 540, 519, 3162, 5651, 822, 1014, 16323, 454, 267, 519, 3328, 2837, 568, 607, 1164, 607, 476, 1015, 11019, 290, 630, 2004, 11019, 293, 1040, 634, 2197, 781, 3854, 2676, 267, 814, 513, 2147, 3328, 2837, 267, 4352, 713, 568, 6766, 676, 4683, 2188, 563, 763, 4411, 652, 3923, 568, 2356, 5130, 267, 4553, 676, 5988, 543, 5412, 269, 4438, 891, 3275, 267, 972, 568, 2356, 6777, 538, 519, 10239, 543, 3006, 538, 519, 2101, 4872, 543, 1970, 4133, 269, 4438, 4728, 267, 4989, 543, 2904, 267, 519, 2837, 2356, 4679, 6385, 267, 2523, 1282, 4989, 267, 950, 519, 2837, 543, 4365, 11148, 547, 4268, 4922, 1282, 519, 1554, 269, 11354, 568, 849, 6353, 676, 1164, 1216, 2157, 538, 519, 8933, 267, 1813, 547, 13621, 6777, 609, 17573, 14700, 563, 763, 3636, 652, 3923, 540, 519, 1032, 568, 5147, 267, 4553, 676, 4864, 543, 4873, 269, 2201, 3328, 267, 4832, 5210, 616, 827, 476, 736, 11019, 290, 630, 6924, 11019, 293, 264, 1107, 476, 1789, 11019, 290, 630, 10436, 11019, 293, 264, 2362, 982, 1282, 5162, 269, 14400, 568, 849, 6353, 676, 4764, 543, 15420, 563, 8505, 4379, 3622, 5956, 538, 5181, 267, 799, 568, 1869, 5266, 3636, 543, 3819, 269, 4438, 5239, 267, 5210, 2356, 2887, 2630, 476, 1428, 11019, 290, 630, 6795, 11019, 293, 264, 610, 476, 1015, 11019, 290, 630, 2004, 11019, 293, 264, 543, 454, 8218, 547, 8774, 741, 3762, 269, 1635, 519, 1439, 540, 5437, 267, 5210, 2356, 2039, 1472, 519, 16171, 1448, 563, 763, 4411, 652, 2837, 2479, 6027, 729, 538, 22175, 341, 6403, 2617, 823, 2282, 454, 514, 476, 4572, 280, 267, 693, 6567, 5655, 269, 273, 11019, 290, 630, 6629, 4510, 269, 271, 11019, 293, 264, 543, 519, 29224, 6027, 267, 729, 693, 476, 2412, 269, 275, 11019, 290, 630, 10441, 269, 278, 11019, 293, 264, 538, 667, 984, 385, 503, 747, 990, 823, 454, 7197, 4764, 8813, 1282, 519, 4832, 269, 590, 1602, 19631, 11811, 568, 5266, 3586, 2429, 519, 1032, 630, 514, 26285, 826, 267, 519, 3328, 1297, 540, 2395, 829, 3923, 7680, 693, 2547, 476, 271, 269, 272, 6515, 540, 4764, 9775, 689, 476, 1321, 538, 5181, 543, 5239, 547, 476, 1626, 538, 5437, 264, 855, 13671, 5230, 11811, 630, 17058, 609, 811, 982, 476, 1015, 6515, 829, 1554, 264, 616, 811, 7928, 538, 519, 3275, 540, 2904, 547, 4864, 630, 320, 2071, 1472, 1079, 971, 2395, 829, 3923, 1916, 1475, 1607, 3296, 3340, 454, 763, 16231, 6243, 19299, 513, 2919, 2676, 324, 1595, 344, 609, 513, 829, 21027, 12654, 2557, 602, 568, 476, 11025, 260, 540, 519, 3864, 5742, 3328, 563, 3080, 540, 519, 1034, 7123 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6214, 1590, 1796, 1631, 543, 2141, 563, 7197, 2038, 2090, 1705, 711, 798, 513, 4336, 20823, 563, 294, 599, 12207, 5620, 1772, 565, 730, 634, 968, 22146, 892, 22319, 1496, 4668, 292, 302, 2639, 296, 723, 811, 1271, 1919, 547, 5855, 827, 269, 4658, 949, 1689, 519, 3961, 10297, 789, 946, 543, 945, 789, 723, 3023, 609, 855, 4638, 18845, 3100, 7123, 936, 942, 269, 2060, 11976, 593, 519, 521, 573, 5202, 267, 1382, 12517, 1590, 2015, 519, 2243, 540, 2663, 7506, 593, 519, 2634, 269, 634, 2601, 649, 723, 547, 723, 15418, 568, 1317, 2462, 1824, 543, 4630, 2684, 984, 525, 1832, 3843, 547, 14816, 721, 540, 938, 2924, 269, 901, 4212, 2663, 10943, 1080, 538, 1079, 269, 634, 3070, 547, 2257, 6721, 2963, 602, 568, 22522, 609, 2797, 3853, 568, 711, 547, 535, 19276, 519, 2257, 267, 855, 2864, 267, 547, 12189, 519, 6214, 269, 1452, 4681, 849, 1223, 581, 3730, 538, 8888, 543, 7598, 811, 2500, 2081, 547, 4163, 856, 4638, 556, 528, 1304, 566, 3797, 563, 763, 12058, 540, 14447, 543, 10636, 18400, 1004, 849, 2408, 547, 581, 22555, 8335, 269, 1975, 12688, 4607, 513, 1297, 540, 2123, 6285, 689, 9164, 543, 689, 14447, 15628, 269, 594, 729, 1175, 7234, 519, 2257, 543, 519, 3621, 2963, 269, 1677, 4266, 267, 891, 2090, 2099, 519, 1034, 9488, 1382, 538, 519, 2361, 269, 634, 2963, 547, 4266, 3091, 1100, 13618, 602, 519, 18004, 901, 10158, 4661, 568, 519, 4098, 543, 1439, 540, 519, 1650, 269, 634, 19692, 649, 666, 1397, 598, 13254, 602, 32270, 568, 711, 513, 3903, 267, 519, 19692, 938, 2229, 666, 3247, 2921, 12517, 1346, 602, 1847, 547, 14816, 2924, 2476, 689, 10349, 1004, 269, 0, 272, 12486, 1548, 779, 519, 812, 3257, 888, 288, 269, 1261, 568, 11488, 513, 535, 1314, 563, 289, 269, 1261, 568, 11488, 513, 4484, 563, 290, 12486, 1261, 568, 11488, 513, 4216, 563, 273, 12486, 1215, 1281, 519, 812, 1205, 519, 1344, 888, 288, 269, 3245, 513, 2780, 3014, 563, 289, 12486, 3245, 606, 661, 17733, 689, 1010, 1362, 22940, 563, 290, 269, 3245, 519, 5769, 563, 274, 269, 4208, 1281, 646, 1616, 547, 946, 519, 2780, 888, 288, 269, 5221, 621, 568, 519, 15864, 1259, 547, 1205, 1079, 12215, 563, 289, 12486, 5221, 646, 15055, 547, 946, 519, 2780, 563, 290, 269, 5221, 646, 568, 1434, 693, 5904, 563, 275, 12486, 1548, 1281, 519, 4807, 2731, 1616, 547, 798, 888, 288, 12486, 1677, 5299, 519, 4605, 883, 519, 2780, 563, 289, 269, 1677, 1451, 875, 547, 11571, 519, 4605, 883, 519, 2780, 563, 290, 12486, 1677, 2911, 547, 519, 812, 543, 2307, 1864, 547, 4001, 1200, 563, 276, 269, 1548, 779, 4636, 609, 519, 2780, 888, 288, 269, 898, 3085, 1406, 960, 563, 289, 269, 898, 729, 8697, 676, 3644, 563, 290, 269, 1703, 779, 4986, 4636, 609, 621, 563, 277, 12486, 1548, 616, 519, 10529, 6158, 827, 888, 288, 269, 589, 8184, 4626, 564, 762, 563, 289, 269, 634, 1259, 547, 5742, 9335, 563, 290, 269, 670, 3931, 513, 3454, 328, 563, 278, 12486, 7316, 568, 519, 4807, 2469, 593, 14349, 888, 288, 12486, 12567, 23392, 563, 289, 12486, 634, 19633, 563, 290, 269, 634, 3454, 328, 2754, 563, 279, 269, 7316, 616, 789, 2469, 547, 2951, 888, 280, 269, 4208, 798, 789, 4413, 519, 5721, 888, 288, 12486, 634, 9219, 568, 3500, 563, 289, 269, 1358, 1810, 1406, 1616, 547, 6952, 519, 5721, 563, 290, 12486, 1358, 979, 1394, 547, 519, 6728, 1932, 3735, 563, 1015, 12486, 1548, 779, 4636, 609, 519, 4807, 888, 288, 12486, 2701, 779, 3893, 513, 15677, 563, 289, 12486, 2701, 779, 3893, 513, 8611, 563, 290, 12486, 2701, 779, 3893, 513, 4881, 9224, 563, 1556, 269, 1548, 568, 519, 2014, 540, 519, 1966, 888, 288, 269, 2701, 814, 513, 2860, 563, 289, 12486, 2701, 814, 513, 4411, 563, 290, 269, 2701, 814, 936, 1740, 539, 563, 1321, 12486, 1548, 1058, 1352, 798, 547, 4194, 1200, 1966, 888, 288, 269, 6875, 930, 4915, 563, 289, 12486, 5620, 606, 5106, 563, 290, 269, 13773, 538, 5127, 585, 513, 1554, 610, 1079, 563, 1724, 12486, 7316, 1705, 13191, 979, 4440, 888, 289, 12486, 772, 269, 590, 6993, 563, 290, 269, 634, 4972, 540, 4065, 563, 1691, 269, 7316, 786, 1352, 979, 888, 288, 269, 1677, 1200, 3237, 563, 289, 12486, 1677, 1200, 11515, 779, 563, 290, 12486, 1677, 1200, 4116, 779, 563, 1428, 12486, 1548, 786, 1352, 798, 972, 888, 288, 269, 4518, 972, 563, 289, 269, 5530, 972, 563, 290, 12486, 589, 2110, 3643, 563, 1626, 269, 5808, 814, 2944, 1169, 3364, 888, 288, 269, 634, 8004, 563, 289, 269, 634, 7911, 563, 290, 12486, 634, 13191, 779, 11515, 563, 1704, 12486, 1548, 729, 11427, 8479, 14126, 827, 888, 288, 12486, 4173, 9393, 779, 1870, 563, 289, 269, 4173, 9393, 779, 1072, 563, 290, 269, 4173, 9393, 779, 10182, 2509, 1010, 23122, 563, 1240, 12486, 1548, 729, 11427, 8479, 12922, 540, 888, 288, 269, 4173, 9393, 779, 16314, 1522, 581, 24401, 2830, 563, 289, 269, 4173, 9393, 9327, 1406, 3858, 547, 1200, 1544, 563, 290, 12486, 4173, 9393, 779, 23122, 1131, 27253, 1200, 1544, 563, 866, 12486, 4208, 4769, 1406, 519, 23122, 2491, 5693, 538, 1200, 4484, 1018, 1185, 5949, 547, 6004, 8479, 779, 1870, 888, 288, 269, 2701, 4941, 6004, 8479, 547, 723, 513, 8799, 16314, 563, 289, 269, 2701, 29709, 547, 798, 865, 563, 290, 269, 2701, 4941, 6004, 8479, 547, 7058, 1018, 621, 729, 563, 736, 269, 6904, 540, 519, 1739, 568, 519, 1292, 2856, 540, 22739, 1650, 888, 288, 269, 11427, 8479, 729, 513, 1360, 1434, 7385, 563, 289, 269, 6004, 8479, 729, 513, 15931, 1870, 2006, 563, 290, 269, 6004, 8479, 1185, 513, 29749, 23122, 563, 2641, 12486, 968, 2171, 4076, 14406, 519, 5721, 17373, 968, 3071, 318, 267, 972, 3580, 581, 1776, 538, 4557, 3764, 3034, 288, 269, 2353, 1318, 645, 269, 3502, 693, 782, 595, 269, 8550, 2247, 667, 269, 5213, 1406, 2446, 621, 454, 2420, 269, 1677, 938, 9983, 519, 24928, 13322, 318, 547, 581, 606, 2025, 3659, 540, 1250, 3993, 779, 563, 288, 12486, 5828, 856, 645, 269, 5828, 909, 595, 269, 1305, 856, 667, 269, 1305, 909, 454, 2537, 12486, 968, 296, 2219, 596, 9327, 1406, 2247, 269, 9232, 968, 11039, 267, 607, 513, 2339, 540, 1249, 594, 1810, 1406, 267, 855, 596, 13322, 318, 803, 1101, 269, 9232, 454, 288, 12486, 1058, 2307, 645, 269, 1058, 723, 4280, 595, 269, 1590, 2307, 667, 269, 1590, 723, 4280, 454, 2190, 269, 634, 5106, 568, 13322, 318, 1967, 543, 1352, 568, 1631, 856, 540, 13322, 318, 8594, 563, 288, 269, 513, 267, 519, 645, 269, 513, 267, 476, 21251, 417, 350, 360, 595, 12486, 476, 21251, 417, 350, 360, 267, 519, 667, 269, 476, 21251, 417, 350, 360, 8147, 21251, 417, 350, 360, 454, 1839, 269, 6733, 693, 602, 2370, 7911, 29595, 827, 2443, 5310, 646, 13322, 318, 1010, 3993, 563, 288, 12486, 786, 6336, 645, 269, 568, 9561, 595, 269, 1185, 4503, 667, 269, 814, 4503, 454, 2918, 269, 898, 779, 1434, 602, 649, 13322, 318, 547, 519, 6288, 1317, 621, 779, 3323, 547, 4764, 563, 288, 12486, 1810, 1406, 979, 645, 269, 22821, 1406, 8854, 595, 269, 4769, 1406, 979, 667, 269, 7012, 1406, 2469, 454, 2767, 12486, 1684, 711, 4734, 519, 2679, 8259, 13322, 318, 547, 798, 865, 563, 288, 269, 547, 4051, 645, 269, 25009, 595, 269, 1373, 25009, 667, 269, 4051, 532, 454, 2764, 12486, 594, 4076, 2760, 1044, 865, 4057, 13322, 318, 2111, 547, 6488, 513, 7594, 563, 288, 12486, 607, 547, 581, 711, 645, 269, 711, 607, 547, 581, 595, 269, 607, 711, 547, 581, 667, 269, 607, 547, 711, 581, 454, 3066, 12486, 21518, 596, 2016, 513, 13322, 318, 267, 610, 1705, 596, 723, 547, 798, 621, 888, 288, 269, 2816, 645, 269, 10279, 595, 269, 7662, 667, 269, 3903, 454, 1789, 269, 1879, 594, 1558, 1864, 2063, 3018, 267, 621, 729, 519, 1101, 942, 649, 1185, 2938, 1142, 824, 13322, 318, 649, 941, 693, 1153, 563, 288, 269, 602, 645, 269, 2094, 595, 269, 950, 667, 269, 1310, 454, 4029, 12486, 968, 12441, 596, 1205, 13322, 318, 547, 519, 5428, 9495, 968, 8133, 267, 594, 14452, 547, 621, 713, 6640, 269, 9232, 454, 288, 269, 606, 2626, 645, 269, 606, 27592, 595, 269, 513, 2243, 667, 269, 513, 4484, 454, 3953, 12486, 1284, 4076, 11751, 513, 32119, 538, 519, 2197, 585, 13322, 318, 649, 13649, 563, 288, 12486, 950, 645, 269, 952, 595, 269, 2094, 667, 269, 602, 454, 3451, 269, 13322, 318, 1426, 568, 2182, 547, 1265, 267, 1906, 5017, 2611, 2429, 519, 1032, 563, 288, 12486, 7316, 645, 269, 1548, 595, 269, 1733, 846, 667, 269, 6904, 454, 4097, 269, 634, 7022, 13322, 318, 513, 3579, 21200, 950, 646, 10272, 5507, 563, 288, 269, 5795, 645, 269, 729, 2016, 595, 269, 1185, 2016, 667, 269, 1185, 1044, 2016, 454, 3374, 12486, 13322, 318, 594, 2303, 267, 646, 2141, 9969, 4181, 563, 288, 269, 1717, 645, 269, 21894, 595, 269, 1733, 31295, 667, 269, 5808, 1197, 454, 30538, 675, 523, 11542, 676, 519, 10720, 269, 22582, 519, 1453, 3357, 4881, 998, 519, 4054, 609, 8325, 1835, 625, 540, 31233, 3607, 13090, 269, 1358, 32357, 909, 547, 519, 31233, 4391, 13090, 267, 10709, 532, 936, 519, 2312, 1216, 267, 8384, 519, 24921, 540, 6263, 3165, 269, 2368, 1453, 18796, 10978, 569, 547, 979, 547, 519, 16996, 267, 855, 31233, 4343, 13090, 1346, 945, 1185, 1044, 2451, 3297, 693, 519, 4672, 29931, 600, 588, 718, 263, 16533, 493, 418, 495, 488, 264, 3357, 4881, 909, 547, 1118, 930, 23318, 610, 824, 267, 543, 789, 782, 31233, 4375, 13090, 519, 1216, 543, 546, 14414, 1394, 519, 31233, 2412, 13090, 789, 1185, 2097, 269, 2060, 3395, 10761, 267, 8575, 675, 523, 31233, 6078, 13090, 873, 563, 2691, 1352, 31233, 5655, 13090, 1018, 1185, 1044, 4881, 585, 267, 1352, 11074, 4881, 269, 1358, 941, 31233, 6246, 13090, 1919, 1586, 269, 634, 11442, 588, 718, 729, 31233, 4510, 13090, 543, 789, 941, 22125, 1472, 621, 269, 19992, 519, 31233, 3393, 13090, 513, 9350, 1647, 27070, 4807, 729, 9513, 513, 1390, 3099, 540, 1507, 6299, 321, 880, 269, 2701, 3576, 31233, 5379, 13090, 5228, 519, 4104, 540, 1507, 3946, 538, 27300, 585, 2370, 16996, 267, 5068, 31119, 267, 5835, 22796, 267, 4376, 269, 8575, 675, 523, 10709, 539, 1996, 513, 31233, 5325, 13090, 267, 3168, 593, 269, 634, 2856, 540, 31233, 4366, 13090, 18233, 1996, 1200, 3068, 899, 513, 2178, 1699, 263, 418, 369, 479, 1070, 3843, 547, 2721, 1200, 538, 563, 301, 7431, 26436, 14593, 856, 547, 519, 6316, 540, 519, 1895, 543, 31233, 5392, 13090, 1018, 1352, 1185, 11751, 593, 519, 2666, 865, 602, 1352, 1223, 1294, 1018, 2724, 1352, 1185, 2451, 538, 1200, 3043, 1625, 572, 269, 7201, 8575, 675, 523, 779, 31233, 2004, 13090, 2482, 513, 10935, 267, 513, 5023, 1418, 263, 9463, 352, 419, 494, 368, 264, 543, 513, 6960, 4452, 540, 3694, 269, 8575, 675, 523, 729, 865, 2407, 540, 519, 13090, 7906, 13090, 585, 519, 1919, 899, 602, 1352, 7948, 1406, 7703, 547, 1413, 693, 621, 269, 2701, 5828, 1200, 31233, 7367, 13090, 25921, 269, 4173, 3068, 729, 1996, 519, 3529, 269, 2701, 9505, 1200, 4064, 543, 31233, 7871, 13090, 23362, 585, 930, 2724, 267, 585, 519, 3902, 540, 513, 1305, 11442, 10824, 269, 769, 513, 4090, 267, 1352, 8118, 1200, 4064, 267, 31233, 7918, 13090, 1352, 4769, 1406, 2490, 1394, 547, 519, 588, 718, 269, 898, 729, 1932, 31233, 4649, 13090, 547, 1294, 519, 1866, 9140, 8726, 789, 4941, 269, 2701, 6299, 5523, 3592, 5180, 519, 3529, 267, 1200, 4064, 593, 519, 2666, 563, 3607, 12486, 589, 269, 19225, 645, 269, 9983, 595, 269, 22551, 667, 269, 10761, 454, 4391, 12486, 589, 269, 2230, 645, 269, 14629, 595, 269, 10720, 667, 269, 5757, 454, 4343, 269, 589, 269, 1018, 779, 8338, 645, 269, 782, 693, 2899, 595, 269, 782, 519, 942, 667, 269, 811, 610, 1447, 454, 4375, 269, 589, 269, 2451, 645, 269, 26130, 595, 269, 13556, 667, 269, 9411, 454, 2412, 269, 589, 269, 8265, 645, 269, 1259, 595, 269, 10935, 667, 269, 13962, 454, 6078, 269, 589, 269, 10443, 1310, 645, 269, 22646, 585, 595, 269, 1350, 1563, 693, 667, 269, 3893, 7759, 540, 454, 5655, 12486, 589, 269, 30199, 645, 269, 4718, 595, 269, 26916, 667, 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 ]
[ 274, 269, 16265, 847, 1384, 9217, 264, 1107, 276, 344, 273, 689, 586, 273, 692, 11405, 281, 7042, 2691, 2165, 723, 519, 1482, 15821, 2188, 267, 789, 616, 899, 2474, 780, 10190, 267, 649, 723, 547, 10208, 519, 899, 2474, 692, 284, 586, 273, 1107, 11196, 276, 344, 273, 2020, 284, 586, 273, 1109, 266, 476, 276, 344, 273, 692, 284, 476, 277, 344, 273, 692, 23870, 264, 476, 277, 15383, 689, 1107, 1321, 15383, 692, 11405, 281, 7042, 2691, 2165, 723, 519, 1482, 15821, 2188, 267, 789, 616, 899, 2474, 780, 10190, 267, 649, 723, 547, 10208, 519, 899, 2474, 692, 284, 910, 1321, 15383, 1107, 476, 277, 15383, 692, 284, 1107, 476, 1240, 15383, 692, 31702, 264, 630, 320, 1107, 536, 264, 689, 630, 320, 1341, 536, 2020, 11405, 281, 7042, 2691, 2165, 723, 519, 1482, 15821, 2188, 267, 789, 616, 899, 2474, 780, 10190, 267, 649, 723, 547, 10208, 519, 899, 2474, 692, 284, 630, 320, 1341, 536, 264, 1107, 630, 320, 1107, 536, 2020, 284, 513, 1341, 536, 1107, 513, 1341, 536, 692, 284, 513, 1107, 513, 1341, 536, 1341, 536, 692, 284, 513, 630, 272, 1107, 476, 272, 264, 1341, 536, 630, 272, 1341, 476, 272, 2020, 284, 513, 630, 271, 264, 1341, 536, 630, 273, 2020, 284, 476, 273, 321, 692, 263, 643, 264, 513, 630, 321, 1107, 476, 276, 264, 689, 536, 630, 276, 1107, 513, 2020, 11405, 281, 7042, 2691, 2165, 723, 519, 1482, 15821, 2188, 267, 789, 616, 899, 2474, 780, 10190, 267, 649, 723, 547, 10208, 519, 899, 2474, 692, 284, 536, 630, 276, 910, 320, 264, 1107, 513, 630, 321, 1107, 476, 276, 2020, 284, 476, 276, 321, 1107, 705, 1107, 705, 1341, 476, 276, 320, 692, 284, 476, 276, 321, 1341, 705, 11196, 272, 910, 272, 264, 1341, 476, 276, 320, 692, 284, 476, 276, 320, 1341, 476, 276, 321, 1107, 476, 273, 629, 692, 17635, 264, 1107, 332, 273, 1341, 476, 276, 19282, 689, 476, 275, 332, 273, 1107, 476, 274, 19282, 1341, 476, 279, 692, 11405, 281, 7042, 2691, 2165, 723, 519, 1482, 15821, 2188, 267, 789, 616, 899, 2474, 780, 10190, 267, 649, 723, 547, 10208, 519, 899, 2474, 692, 284, 476, 275, 332, 273, 1107, 476, 274, 19282, 1341, 476, 279, 1107, 11196, 544, 273, 1341, 476, 276, 19282, 2020, 284, 476, 275, 332, 273, 1107, 476, 274, 19282, 1341, 476, 279, 1341, 544, 273, 1107, 476, 276, 19282, 692, 284, 476, 275, 332, 273, 1341, 544, 273, 1107, 476, 274, 19282, 1107, 476, 276, 19282, 1341, 476, 279, 692, 284, 476, 276, 332, 273, 1107, 476, 279, 19282, 1341, 476, 279, 692, 263, 12858, 264, 1107, 1535, 273, 1341, 476, 1015, 343, 1107, 476, 276, 689, 476, 276, 343, 1107, 476, 1015, 692, 11405, 281, 7042, 2691, 2165, 723, 519, 1482, 15821, 2188, 267, 789, 616, 899, 2474, 780, 10190, 267, 649, 723, 547, 10208, 519, 899, 2474, 692, 284, 476, 276, 343, 1107, 476, 1015, 1107, 11196, 343, 273, 1341, 476, 1015, 343, 1107, 476, 276, 2020, 284, 476, 276, 343, 1107, 476, 1015, 1341, 1535, 273, 1107, 476, 1015, 343, 1341, 476, 276, 692, 284, 1535, 273, 1341, 476, 276, 343, 1107, 476, 1015, 343, 1107, 476, 1015, 1341, 476, 276, 692, 284, 1535, 273, 1107, 476, 276, 343, 1107, 476, 276, 692, 17635, 4512, 264, 476, 276, 320, 273, 1107, 476, 278, 629, 1341, 476, 276, 321, 273, 689, 476, 274, 629, 1107, 476, 273, 320, 273, 1107, 476, 273, 321, 273, 692, 11405, 281, 7042, 2691, 2165, 723, 519, 1482, 15821, 2188, 267, 789, 616, 899, 2474, 780, 10190, 267, 649, 723, 547, 10208, 519, 899, 2474, 692, 284, 476, 274, 629, 1107, 476, 273, 320, 273, 1107, 476, 273, 321, 273, 1107, 630, 276, 320, 273, 1107, 476, 278, 629, 1341, 476, 276, 321, 273, 2020, 284, 476, 274, 629, 1107, 476, 273, 320, 273, 1107, 476, 273, 321, 273, 1107, 476, 276, 320, 273, 1341, 476, 278, 629, 1107, 476, 276, 321, 273, 692, 284, 476, 274, 629, 1341, 476, 278, 629, 1107, 476, 273, 320, 273, 1107, 476, 276, 320, 273, 1107, 476, 273, 321, 273, 1107, 476, 276, 321, 273, 692, 284, 476, 1015, 629, 1107, 476, 278, 320, 273, 1107, 476, 278, 321, 273, 692, 17635, 13839, 264, 476, 275, 335, 336, 1107, 476, 276, 336, 273, 1107, 476, 274, 335, 273, 689, 476, 276, 335, 273, 1341, 476, 274, 336, 273, 1107, 533, 336, 692, 11405, 281, 7042, 2691, 2165, 723, 519, 1482, 15821, 2188, 267, 789, 616, 899, 2474, 780, 10190, 267, 649, 723, 547, 10208, 519, 899, 2474, 692, 284, 476, 276, 335, 273, 1341, 476, 274, 336, 273, 1107, 533, 336, 1107, 630, 275, 335, 336, 1107, 476, 276, 336, 273, 1107, 476, 274, 335, 273, 2020, 284, 476, 276, 335, 273, 1341, 476, 274, 336, 273, 1107, 533, 336, 1107, 476, 275, 335, 336, 1341, 476, 276, 336, 273, 1341, 476, 274, 335, 273, 692, 284, 476, 276, 335, 273, 1341, 476, 274, 335, 273, 1341, 476, 274, 336, 273, 1341, 476, 276, 336, 273, 1107, 533, 336, 1107, 476, 275, 335, 336, 692, 284, 476, 279, 335, 273, 1341, 476, 279, 336, 273, 1107, 476, 276, 335, 336, 692, 275, 269, 630, 320, 264, 1548, 1058, 581, 3773, 547, 1535, 273, 1341, 27976, 1341, 586, 273, 547, 3489, 476, 273, 343, 273, 1341, 476, 274, 15383, 2496, 11405, 281, 7042, 4131, 721, 8263, 533, 581, 519, 2838, 2165, 692, 10190, 10484, 335, 1341, 630, 343, 273, 1341, 27976, 1341, 586, 273, 264, 815, 476, 273, 343, 273, 1341, 476, 274, 15383, 692, 335, 815, 630, 273, 343, 273, 1109, 266, 476, 274, 15383, 264, 1107, 630, 343, 273, 1341, 27976, 1341, 586, 273, 2020, 335, 815, 476, 273, 343, 273, 1341, 476, 274, 15383, 1107, 1535, 273, 1107, 27976, 1107, 586, 273, 692, 335, 815, 476, 273, 343, 273, 1107, 1535, 273, 1341, 476, 274, 15383, 1107, 27976, 1107, 586, 273, 692, 335, 815, 1535, 273, 1109, 266, 476, 273, 15383, 1107, 586, 273, 692, 6357, 264, 1548, 1058, 581, 10208, 539, 689, 476, 273, 320, 1341, 476, 279, 321, 1341, 476, 1015, 547, 1205, 1107, 476, 274, 320, 1341, 476, 278, 321, 1341, 476, 1626, 2496, 11405, 281, 7042, 4131, 721, 8263, 1535, 581, 519, 2838, 2165, 692, 10190, 10484, 273, 320, 1341, 476, 279, 321, 1341, 476, 1015, 1107, 1535, 815, 910, 274, 320, 1341, 476, 278, 321, 1341, 476, 1626, 692, 343, 815, 630, 273, 320, 1341, 476, 279, 321, 1341, 476, 1015, 264, 1107, 11196, 274, 320, 1341, 476, 278, 321, 1341, 476, 1626, 2020, 343, 815, 476, 273, 320, 1341, 476, 279, 321, 1341, 476, 1015, 1341, 476, 274, 320, 1107, 476, 278, 321, 1107, 476, 1626, 692, 343, 815, 476, 273, 320, 1341, 476, 274, 320, 1341, 476, 279, 321, 1107, 476, 278, 321, 1341, 476, 1015, 1107, 476, 1626, 692, 343, 815, 476, 276, 320, 1341, 536, 1107, 476, 277, 692, 276, 269, 1548, 1058, 581, 3144, 2476, 689, 476, 274, 343, 273, 1107, 476, 275, 344, 273, 1341, 476, 276, 15383, 1341, 476, 736, 547, 3489, 1107, 1535, 273, 1107, 586, 273, 1341, 476, 277, 15383, 1341, 476, 736, 2496, 11405, 281, 7042, 4131, 721, 8263, 513, 581, 519, 2838, 2165, 692, 10190, 10484, 274, 343, 273, 1107, 476, 275, 344, 273, 1341, 476, 276, 15383, 1341, 476, 736, 1107, 513, 815, 910, 343, 273, 1107, 586, 273, 1341, 476, 277, 15383, 1341, 476, 736, 692, 320, 815, 476, 274, 343, 273, 1107, 476, 275, 344, 273, 1341, 476, 276, 15383, 1341, 476, 736, 1107, 11196, 343, 273, 1107, 586, 273, 1341, 476, 277, 15383, 1341, 476, 736, 2020, 320, 815, 476, 274, 343, 273, 1107, 476, 275, 344, 273, 1341, 476, 276, 15383, 1341, 476, 736, 1341, 1535, 273, 1341, 586, 273, 1107, 476, 277, 15383, 1107, 476, 736, 692, 320, 815, 476, 274, 343, 273, 1341, 1535, 273, 1107, 476, 275, 344, 273, 1341, 586, 273, 1341, 476, 276, 15383, 1107, 476, 277, 15383, 1341, 476, 736, 1107, 476, 736, 692, 320, 815, 476, 275, 343, 273, 1107, 476, 274, 344, 273, 1107, 27976, 692, 277, 269, 630, 320, 264, 3245, 519, 2040, 540, 476, 274, 343, 1107, 586, 1341, 476, 1556, 543, 1107, 586, 1107, 476, 1556, 267, 10208, 476, 274, 343, 1107, 586, 1107, 476, 1556, 780, 11405, 281, 7042, 5575, 649, 723, 547, 1265, 856, 519, 2040, 540, 476, 274, 343, 1107, 586, 1341, 476, 1556, 543, 1107, 586, 1107, 476, 1556, 692, 284, 476, 274, 343, 1107, 586, 1341, 476, 1556, 1341, 11196, 344, 1107, 476, 1556, 2020, 284, 476, 274, 343, 1107, 586, 1341, 476, 1556, 1107, 586, 1107, 476, 1556, 692, 284, 476, 274, 343, 1107, 586, 1107, 586, 1341, 476, 1556, 1107, 476, 1556, 692, 284, 476, 274, 343, 1107, 476, 273, 344, 692, 3086, 267, 10208, 476, 274, 343, 1107, 586, 1107, 476, 1556, 689, 476, 274, 343, 1107, 476, 273, 344, 692, 284, 476, 274, 343, 1107, 476, 273, 344, 1107, 630, 274, 343, 1107, 586, 1107, 476, 1556, 2020, 284, 476, 274, 343, 1107, 476, 273, 344, 1107, 476, 274, 343, 1341, 586, 1341, 476, 1556, 692, 284, 476, 274, 343, 1107, 476, 274, 343, 1107, 476, 273, 344, 1341, 586, 1341, 476, 1556, 692, 284, 910, 344, 1341, 476, 1556, 692, 6357, 264, 3245, 519, 2040, 540, 476, 275, 1341, 476, 274, 343, 543, 476, 276, 1107, 476, 275, 343, 1341, 476, 273, 343, 273, 267, 10208, 519, 2040, 540, 476, 274, 343, 273, 1107, 476, 276, 343, 543, 692, 1700, 343, 273, 1341, 476, 273, 343, 1341, 476, 276, 780, 11405, 281, 7042, 5575, 649, 723, 547, 1265, 856, 519, 2040, 540, 476, 275, 1341, 476, 274, 343, 543, 476, 276, 1107, 476, 275, 343, 1341, 476, 273, 343, 273, 692, 284, 476, 275, 1341, 476, 274, 343, 1341, 630, 276, 1107, 476, 275, 343, 1341, 476, 273, 343, 273, 2020, 284, 476, 275, 1341, 476, 274, 343, 1341, 476, 276, 1107, 476, 275, 343, 1341, 476, 273, 343, 273, 692, 284, 476, 275, 1341, 476, 276, 1341, 476, 274, 343, 1107, 476, 275, 343, 1341, 476, 273, 343, 273, 692, 284, 476, 280, 1107, 1535, 1341, 476, 273, 343, 273, 692, 284, 476, 273, 343, 273, 1107, 1535, 1341, 476, 280, 2560, 1496, 3225, 566, 476, 272, 6540, 10190, 267, 649, 723, 547, 1265, 856, 519, 2040, 540, 476, 274, 343, 273, 1107, 476, 276, 343, 543, 1107, 1535, 273, 1341, 476, 273, 343, 1341, 476, 276, 692, 284, 476, 274, 343, 273, 1107, 476, 276, 343, 1341, 11196, 343, 273, 1341, 476, 273, 343, 1341, 476, 276, 2020, 284, 476, 274, 343, 273, 1107, 476, 276, 343, 1107, 1535, 273, 1341, 476, 273, 343, 1341, 476, 276, 692, 284, 476, 274, 343, 273, 1107, 1535, 273, 1107, 476, 276, 343, 1341, 476, 273, 343, 1341, 476, 276, 692, 284, 476, 273, 343, 273, 1107, 476, 274, 343, 1341, 476, 276, 2560, 1496, 3225, 566, 476, 273, 6540, 3086, 267, 649, 723, 547, 10208, 3830, 630, 273, 264, 689, 3830, 630, 272, 2020, 284, 476, 273, 343, 273, 1107, 1535, 1341, 476, 280, 1107, 630, 273, 343, 273, 1107, 476, 274, 343, 1341, 476, 276, 2020, 284, 476, 273, 343, 273, 1107, 1535, 1341, 476, 280, 1107, 476, 273, 343, 273, 1109, 266, 476, 274, 343, 1107, 476, 276, 692, 284, 476, 273, 343, 273, 1107, 476, 273, 343, 273, 1107, 1535, 1341, 476, 274, 343, 1341, 476, 280, 1107, 476, 276, 692, 284, 476, 273, 343, 1341, 476, 275, 692, 19865, 476, 1321, 269, 274, 8525, 281, 476, 26237, 692, 272, 269, 1403, 544, 815, 476, 273, 267, 1265, 519, 1871, 540, 1384, 9217, 264, 544, 1107, 476, 273, 692, 11405, 281, 7042, 5804, 519, 2243, 621, 568, 2016, 602, 544, 815, 476, 273, 692, 10190, 267, 12990, 519, 1871, 540, 544, 538, 519, 2243, 692, 284, 476, 273, 910, 273, 692, 284, 476, 271, 692, 23870, 264, 476, 274, 332, 1107, 476, 276, 692, 11405, 281, 7042, 5804, 519, 2243, 621, 568, 2016, 602, 544, 815, 476, 273, 692, 10190, 267, 12990, 519, 1871, 540, 544, 538, 519, 2243, 692, 284, 630, 274, 6398, 476, 273, 264, 1107, 476, 276, 692, 284, 476, 277, 1107, 476, 276, 692, 284, 476, 272 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1018, 649, 7747, 5015, 4352, 2230, 568, 7361, 513, 12511, 621, 5161, 540, 552, 324, 9901, 5536, 17611, 9211, 6419, 7800, 338, 543, 930, 31285, 4014, 891, 2360, 616, 711, 602, 1271, 585, 9804, 10323, 2316, 789, 798, 1404, 606, 1271, 1909, 538, 519, 5925, 476, 271, 6611, 5161, 540, 552, 324, 9901, 5536, 9211, 1404, 519, 1034, 1271, 1909, 1548, 824, 1570, 5161, 540, 1804, 9424, 540, 1863, 607, 538, 711, 3808, 547, 8444, 513, 631, 4953, 3201, 6611, 899, 513, 4496, 786, 1253, 677, 1346, 6329, 10707, 998, 621, 713, 568, 2523, 1271, 538, 6329, 540, 513, 1906, 717, 13703, 610, 4130, 6611, 849, 5161, 540, 9901, 5536, 11251, 538, 513, 6419, 2361, 31515, 10929, 10787, 611, 599, 10047, 519, 26445, 540, 519, 1769, 6329, 786, 1689, 4287, 607, 789, 1780, 998, 9901, 5536, 538, 513, 6419, 7800, 2480, 842, 20746, 899, 519, 1000, 1074, 1782, 540, 6801, 538, 938, 5790, 2230, 849, 814, 2434, 525, 7051, 31285, 1452, 616, 2242, 538, 5860, 593, 519, 4336, 540, 513, 1906, 22847, 538, 2450, 4611, 538, 1000, 1074, 1782, 540, 513, 1906, 3764, 547, 3108, 1488, 7590, 1677, 1205, 21368, 593, 519, 1931, 540, 476, 272, 610, 1454, 1732, 799, 568, 2009, 835, 666, 946, 14249, 540, 24985, 543, 15936, 9192, 519, 6786, 513, 586, 513, 670, 670, 4165, 28225, 289, 2549, 28225, 288, 26994, 26994, 9219, 9219, 9219, 476, 278, 512, 476, 4817, 476, 276, 1250, 570, 1901, 973, 648, 337, 570, 1901, 2594, 518, 661, 570, 1901, 2594, 518, 589, 476, 6734, 544, 5925, 835, 1131, 991, 513, 2582, 8670, 540, 521, 272, 345, 589, 476, 279, 5998, 1677, 1205, 13380, 21368, 540, 519, 1480, 3750, 5111, 476, 4905, 693, 476, 272, 23435, 313, 552, 667, 476, 4375, 476, 8618, 476, 280, 476, 278, 337, 331, 279, 290, 11740, 271, 1717, 835, 666, 1205, 519, 1482, 6571, 952, 835, 814, 513, 15977, 9668, 1063, 1367, 5925, 24985, 540, 713, 3845, 634, 2698, 10655, 1858, 540, 713, 16263, 3587, 2705, 1152, 519, 2698, 10655, 1858, 540, 519, 1367, 24985, 5015, 519, 3845, 547, 1142, 16263, 1590, 581, 1634, 547, 606, 6111, 561, 339, 2741, 288, 6382, 519, 1445, 538, 3478, 513, 5365, 568, 28811, 901, 568, 2944, 538, 835, 540, 1079, 3649, 521, 476, 271, 3414, 8955, 5122, 610, 824, 1463, 2168, 4296, 1063, 519, 5925, 8286, 538, 519, 5044, 634, 966, 6369, 15020, 14066, 26275, 13234, 676, 715, 6938, 302, 856, 540, 6124, 6792, 3096, 713, 2836, 12299, 676, 10570, 23234, 543, 11746, 2594, 619, 540, 519, 5365, 4607, 689, 1142, 2707, 901, 568, 875, 966, 299, 10292, 15020, 1279, 15977, 31785, 5852, 13333, 476, 278, 3096, 519, 3003, 3618, 476, 6344, 876, 5998, 8006, 607, 15977, 3478, 21368, 540, 476, 9818, 9834, 9095, 572, 6948, 538, 519, 5925, 10323, 2316, 568, 711, 3908, 676, 16070, 6571, 476, 278, 1175, 3478, 513, 5365, 1131, 581, 1434, 2614, 585, 1631, 476, 278, 855, 2864, 676, 2698, 10655, 1858, 19171, 1575, 7348, 540, 1492, 7638, 5487, 296, 613, 26275, 966, 6369, 538, 1715, 6792, 10934, 540, 1492, 6753, 540, 24985, 540, 519, 966, 299, 10621, 7638, 1279, 15977, 5044, 606, 1383, 540, 966, 299, 10292, 0, 306, 16577, 9351, 281, 14581, 454, 1103, 713, 2627, 1858, 4976, 267, 1053, 3313, 519, 2627, 1858, 540, 513, 3099, 540, 4396, 5515, 267, 1287, 5299, 543, 2347, 513, 1644, 3349, 269, 670, 32080, 631, 858, 4802, 1257, 26518, 563, 275, 628, 910, 476, 277, 628, 4569, 476, 275, 14358, 476, 5655, 20042, 454, 5938, 778, 17183, 9351, 543, 11730, 538, 519, 4107, 12056, 10158, 2336, 30395, 513, 2098, 541, 935, 31383, 1753, 607, 513, 2979, 2534, 602, 786, 1683, 16854, 5383, 585, 6278, 267, 585, 15285, 267, 543, 585, 17117, 540, 2035, 269, 901, 2534, 6212, 4481, 593, 2627, 1858, 543, 4320, 1210, 6310, 2483, 277, 628, 910, 476, 279, 628, 4569, 18938, 281, 24623, 454, 8340, 17183, 9351, 540, 10699, 525, 543, 2398, 3359, 676, 29553, 532, 873, 18766, 454, 4415, 782, 1346, 5011, 267, 4466, 2627, 1858, 666, 14845, 269, 901, 3381, 3096, 2681, 2275, 10757, 23877, 547, 1397, 519, 7403, 540, 1142, 2427, 1354, 4946, 873, 782, 1927, 269, 8058, 707, 22697, 602, 28277, 513, 10516, 3340, 2627, 1858, 547, 2483, 276, 25008, 476, 277, 628, 910, 476, 279, 628, 4569, 18938, 281, 23850, 0, 268, 11929, 18740, 454, 268, 3619, 7316, 454, 7617, 540, 519, 1739, 568, 3020, 827, 6947, 8223, 888, 10490, 264, 589, 4305, 585, 3573, 6947, 2773, 6663, 547, 1020, 513, 2518, 1620, 540, 9275, 1893, 563, 16360, 264, 23016, 568, 8806, 513, 12809, 1184, 540, 8391, 3280, 6329, 998, 519, 1274, 543, 23142, 8229, 25372, 547, 519, 2634, 563, 18154, 264, 5440, 16365, 6947, 4480, 23131, 689, 4992, 547, 1913, 547, 21342, 3347, 547, 513, 3803, 5048, 563, 20573, 264, 1306, 1279, 607, 519, 4116, 2488, 1390, 9424, 540, 3403, 538, 519, 4928, 267, 1053, 666, 8850, 6460, 519, 3403, 883, 6981, 563, 291, 1410, 1744, 8811, 18947, 476, 4029, 560, 630, 1001, 274, 270, 6349, 270, 6021, 476, 6021, 281, 2641, 2187, 7617, 540, 519, 1739, 568, 3020, 827, 6947, 8223, 286, 25341, 7617, 540, 519, 1739, 568, 3020, 827, 3573, 6947, 8223, 888, 12682, 8270, 340, 336, 333, 691, 18947, 476, 1556, 560, 630, 1001, 275, 270, 6187, 270, 6860, 476, 1321, 281, 1626, 2187, 18154, 264, 9008, 16365, 15159, 5320, 547, 3280, 454, 20573, 264, 21251, 15159, 9463, 359, 15159, 10533, 503, 27747, 360, 418, 493, 494, 28032, 505, 6358, 11858, 372, 13200, 509, 16533, 365, 420, 25693, 420, 485, 359, 417, 489, 499, 935, 3200, 519, 3403, 883, 6981, 454, 291, 1410, 1744, 8811, 18947, 476, 4029, 560, 630, 1001, 275, 270, 6187, 270, 6860, 476, 1691, 281, 6734, 2187, 12749, 16365, 2994, 616, 26575, 1759, 3248, 289, 18847, 5346, 2994, 616, 1257, 1759, 563, 309, 10216, 6931, 18947, 476, 4029, 560, 630, 1001, 274, 270, 4962, 270, 4029, 476, 2420, 281, 3607, 2187, 309, 10216, 6931, 18947, 476, 4029, 560, 630, 1001, 274, 270, 4962, 270, 4029, 476, 2420, 281, 4343, 2187, 300, 532, 4211, 1156, 24204, 18947, 476, 2641, 560, 630, 1001, 275, 270, 6349, 270, 2537, 476, 2420, 281, 6246, 2187, 2750, 6984, 1152, 519, 1360, 1101, 5933, 538, 19346, 15059, 267, 799, 616, 1572, 28340, 1736, 267, 907, 2483, 419, 378, 483, 20881, 372, 13107, 485, 2160, 476, 1556, 560, 630, 1001, 275, 270, 4962, 270, 1839, 476, 1626, 281, 6734, 2187, 718, 519, 1247, 476, 13601, 25203, 368, 454, 3559, 523, 25148, 4343, 3119, 476, 2641, 560, 630, 1001, 275, 270, 5881, 270, 4962, 476, 1626, 281, 3066, 2187, 26469, 16441, 28133, 476, 4029, 560, 630, 1001, 276, 270, 6187, 270, 2764, 476, 876, 281, 3066, 2187, 23946, 367, 27310, 419, 369, 494, 418, 356, 489, 476, 10533, 483, 418, 482, 493, 17958, 782, 519, 530, 850, 17276, 371, 371, 418, 371, 484, 12916, 510, 454, 297, 600, 773, 1284, 328, 18947, 476, 2420, 560, 630, 1001, 273, 270, 6860, 270, 2190, 476, 1015, 281, 6246, 2187, 15842, 617, 593, 17276, 366, 487, 26233, 507, 10756, 26469, 1744, 8811, 18947, 476, 2641, 560, 630, 1001, 273, 270, 6860, 270, 1789, 476, 1240, 281, 7918, 2567, 0, 11749, 1132, 543, 4264, 19824, 454, 294, 11596, 548, 17754, 267, 645, 267, 6519, 267, 12601, 267, 14062, 572, 267, 654, 267, 12722, 267, 570, 543, 772, 3960, 749, 267, 667, 630, 1001, 271, 264, 18880, 543, 4264, 19824, 769, 281, 3690, 14127, 29714, 538, 519, 29740, 5113, 269, 2423, 2195, 4754, 1315, 6276, 1299, 6276, 267, 6032, 269, 476, 4391, 268, 2004, 269, 9768, 476, 7277, 9032, 272, 5400, 279, 271, 454, 13510, 9005, 896, 17821, 2433, 6423, 519, 7923, 6132, 775, 3758, 563, 12606, 630, 3451, 330, 289, 264, 1923, 2776, 1613, 454, 4415, 2479, 2987, 920, 2084, 4145, 827, 519, 4539, 540, 2916, 1689, 267, 10820, 616, 606, 1271, 1445, 585, 1689, 269, 1703, 568, 2810, 2604, 593, 10820, 547, 1689, 19824, 543, 9772, 19326, 602, 2154, 1447, 1648, 543, 2067, 2200, 269, 2311, 519, 1482, 942, 267, 21625, 543, 12696, 540, 7082, 5370, 2832, 547, 22321, 1004, 547, 8532, 811, 998, 5010, 22099, 269, 4317, 2257, 1382, 6313, 4264, 19326, 1419, 14543, 547, 4983, 519, 3448, 3310, 540, 1312, 2825, 6161, 543, 1570, 1143, 8195, 269, 5047, 267, 1034, 540, 713, 1382, 6212, 593, 7713, 610, 5009, 19326, 609, 605, 10276, 16652, 8247, 267, 7551, 24937, 1082, 7082, 19326, 602, 949, 723, 513, 1713, 2825, 1764, 269, 901, 2376, 6663, 547, 2232, 930, 540, 891, 28919, 676, 6313, 519, 3347, 1063, 1570, 2065, 543, 2825, 2418, 543, 1114, 7082, 19326, 269, 11752, 1239, 689, 476, 3707, 2043, 689, 476, 4200, 10820, 941, 21845, 269, 634, 4681, 1397, 602, 3833, 513, 1297, 540, 1004, 2769, 1312, 5266, 1164, 2157, 540, 2825, 6161, 543, 5266, 1164, 2157, 540, 1570, 1143, 8195, 269, 5047, 267, 1570, 1143, 543, 2825, 6161, 2408, 547, 581, 1644, 547, 1114, 2010, 540, 19326, 269, 901, 12651, 1271, 2055, 585, 519, 13319, 540, 4264, 19824, 267, 799, 949, 991, 547, 2232, 711, 1152, 2825, 4145, 855, 849, 1570, 2065, 4145, 563, 347, 2005, 655, 7392, 10573, 9349, 8791, 2008, 347, 19667, 2888, 2433, 1475, 293, 659, 8372, 540, 2657, 543, 6481, 7070, 3436, 3427, 540, 10017, 2008, 347, 14630, 2433, 1475, 272, 5988, 476, 1001, 271, 2008, 347, 4462, 25049, 27511, 2433, 1475, 19425, 3538, 675, 2008, 347, 21206, 6176, 2433, 1475, 15648, 476, 1001, 271, 30296, 269, 9509, 1257, 949, 581, 2139, 693, 513, 2663, 4266, 8198, 347, 12831, 657, 1746, 14871, 2433, 1475, 15228, 921, 8157, 15689, 2008, 347, 14630, 3493, 657, 1243, 2433, 1475, 2767, 3967, 476, 1001, 276, 476, 1724, 281, 4366, 2008, 347, 8310, 3525, 1881, 2433, 1475, 2767, 3967, 476, 1001, 276, 476, 1724, 281, 4366, 2008, 288, 2388, 630, 8421, 514, 2838, 994, 12606, 338, 829, 3923, 936, 2250, 1032, 0, 293, 1601, 559, 1216, 568, 1216, 20177, 538, 606, 11895, 6864, 11717, 269, 898, 568, 513, 1875, 3146, 2908, 762, 4199, 543, 666, 3006, 2270, 5906, 6464, 267, 581, 30644, 267, 543, 1256, 14599, 267, 1813, 547, 1279, 5712, 540, 942, 20177, 2476, 689, 519, 2627, 269, 8644, 5984, 543, 824, 1647, 9456, 14672, 2180, 3979, 2477, 723, 16941, 593, 8093, 1216, 14425, 799, 616, 1631, 4881, 1970, 269, 20668, 540, 519, 5449, 28268, 267, 3127, 267, 3624, 543, 6792, 849, 7048, 593, 713, 1826, 540, 1216, 15395, 269, 9701, 519, 1216, 2196, 856, 267, 519, 1292, 2360, 1131, 581, 538, 891, 2477, 267, 543, 538, 519, 1106, 540, 1216, 2924, 29541, 543, 606, 2333, 538, 964, 16433, 1436, 2371, 563, 12812, 1934, 547, 22599, 16253, 563, 28989, 267, 4263, 713, 942, 3593, 14261, 568, 16981, 269, 1284, 786, 1930, 14261, 4166, 2336, 10673, 1405, 723, 606, 2272, 286, 8437, 3371, 547, 6178, 1575, 454, 15100, 14645, 5682, 9172, 9955, 2593, 20941, 0, 2710, 596, 723, 513, 2243, 286, 5403, 621, 1631, 256, 3143, 32310, 3026, 10354, 269, 3767, 609, 5961, 2336, 268, 17397, 593, 454, 268, 808, 4157, 6390, 918, 269, 918, 23705, 11253, 454, 21938, 476, 1428, 267, 476, 1220, 277, 267, 476, 276, 281, 6246, 10681, 454, 3725, 281, 4460, 909, 7623, 10902, 865, 602, 3406, 9817, 1294, 1079, 1913, 454, 2791, 2811, 1318, 282, 594, 1058, 2119, 547, 3314, 602, 594, 1810, 1405, 3314, 782, 454, 4462, 545, 1712, 3197, 2943, 269, 630, 4517, 594, 2731, 9041, 29019, 318, 3314, 7157, 1018, 454, 308, 266, 293, 9128, 293, 568, 269, 1496, 20228, 2355, 5128, 269, 7481, 763, 3989, 2495, 540, 772, 266, 293, 9128, 293, 568, 602, 621, 568, 513, 264, 513, 31632, 1931, 1665, 630, 289, 6865, 13211, 321, 264, 606, 15865, 1852, 1915, 585, 7303, 513, 1899, 2736, 267, 543, 538, 454, 1492, 8545, 1909, 267, 772, 266, 18684, 271, 654, 16704, 808, 302, 2562, 2207, 568, 9053, 269, 901, 1797, 267, 538, 454, 324, 977, 267, 602, 676, 1133, 545, 1712, 7840, 267, 772, 266, 293, 9128, 293, 1058, 1152, 581, 1031, 693, 454, 1492, 1376, 540, 513, 1257, 3758, 607, 645, 6865, 563, 1607, 568, 10169, 5376, 6776, 540, 1576, 267, 2094, 772, 266, 18684, 271, 568, 14605, 6462, 563, 24916, 267, 14103, 16551, 798, 711, 2154, 602, 1133, 545, 1712, 5033, 24939, 581, 454, 984, 5674, 539, 282, 593, 519, 824, 1688, 267, 713, 1797, 602, 519, 1198, 540, 772, 266, 293, 9128, 293, 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 ]
[ 11589, 14696, 547, 519, 667, 310, 303, 585, 605, 8010, 532, 519, 521, 5417, 652, 3184, 538, 741, 1686, 563, 2026, 519, 1895, 13264, 909, 14787, 262, 4934, 1633, 6743, 909, 998, 519, 7381, 4054, 547, 519, 14869, 666, 27267, 6821, 563, 257, 2791, 666, 1869, 1294, 519, 1216, 5658, 909, 972, 269, 898, 729, 1500, 538, 513, 1906, 2110, 3764, 811, 982, 476, 2004, 1296, 3516, 269, 3816, 1046, 762, 4799, 261, 3557, 8092, 5658, 476, 3192, 279, 270, 8064, 454, 20776, 341, 643, 832, 1234, 684, 542, 630, 31357, 10060, 994, 291, 539, 1709, 24583, 3000, 344, 5358, 476, 276, 270, 2641, 270, 3192, 279, 454, 21158, 18614, 281, 1773, 12120, 1773, 3166, 267, 853, 18036, 267, 1234, 31419, 476, 3192, 279, 270, 8064, 0, 1103, 4033, 4658, 779, 2037, 28387, 14416, 267, 6754, 1975, 27247, 6799, 519, 1482, 9240, 5052, 4302, 4137, 1107, 2699, 538, 519, 3068, 543, 521, 1638, 1221, 538, 4082, 1107, 538, 7961, 10179, 762, 2829, 540, 14207, 269, 1677, 2285, 1175, 513, 1906, 1806, 267, 538, 835, 7206, 789, 616, 513, 9267, 6350, 10774, 3861, 10316, 11303, 676, 1973, 267, 538, 1776, 789, 616, 513, 835, 31991, 1480, 609, 22224, 3952, 267, 538, 513, 3791, 789, 2408, 607, 1614, 2282, 268, 1211, 673, 9843, 267, 13735, 538, 513, 1560, 540, 1216, 689, 799, 10425, 513, 7504, 269, 898, 568, 607, 1498, 1975, 27247, 556, 4532, 7568, 919, 713, 1915, 2066, 666, 341, 1162, 1152, 547, 1641, 873, 547, 1776, 3765, 30514, 12556, 563, 306, 5155, 1356, 3081, 602, 1010, 960, 9607, 2048, 1492, 12491, 527, 1464, 540, 938, 27757, 543, 875, 547, 2661, 1496, 5976, 602, 1702, 316, 9957, 769, 891, 10367, 267, 1975, 27247, 779, 16502, 5526, 7357, 3222, 540, 1018, 568, 4947, 269, 1924, 602, 538, 835, 7206, 267, 1141, 1975, 27247, 779, 16502, 568, 10982, 14801, 538, 513, 3595, 267, 3952, 11231, 10838, 519, 20743, 267, 543, 741, 2212, 29691, 519, 1102, 1716, 334, 267, 789, 3274, 4159, 606, 4082, 540, 29997, 566, 602, 4667, 16283, 585, 519, 25711, 789, 616, 11972, 563, 3719, 2864, 982, 8204, 513, 6429, 5094, 689, 5128, 267, 1975, 27247, 13290, 547, 751, 848, 856, 1010, 1378, 21548, 538, 2078, 547, 513, 6626, 1480, 2783, 269, 19744, 11052, 543, 18691, 616, 18596, 4798, 538, 4033, 4658, 779, 2037, 28387, 14416, 269, 10011, 956, 267, 26112, 543, 26704, 7068, 616, 6719, 538, 2592, 540, 27314, 7092, 281, 519, 5664, 12698, 941, 267, 1310, 782, 267, 6825, 676, 20575, 267, 26380, 543, 1480, 15093, 269, 769, 8204, 1480, 3765, 2044, 998, 519, 7828, 540, 2369, 529, 762, 3140, 543, 29631, 267, 1975, 27247, 14753, 547, 519, 7104, 1480, 1995, 543, 267, 3226, 267, 8467, 543, 17847, 563, 8601, 519, 1447, 982, 782, 1005, 4798, 538, 1975, 27247, 779, 10367, 267, 519, 1568, 616, 20866, 11617, 13267, 282, 789, 616, 13401, 609, 513, 20419, 6438, 267, 14810, 2298, 25967, 1819, 676, 12050, 267, 6366, 15437, 543, 5394, 267, 27621, 762, 3515, 269, 11531, 267, 1975, 27247, 779, 3197, 616, 11214, 1439, 8960, 5103, 17729, 865, 1273, 4854, 269, 5438, 27624, 782, 1927, 267, 891, 7907, 1711, 513, 7903, 543, 7485, 1063, 11552, 848, 543, 24337, 1107, 1975, 27247, 779, 1505, 540, 2324, 998, 13438, 269, 0, 763, 918, 26234, 18044, 11568, 267, 1449, 2055, 543, 4267, 454, 20524, 15460, 267, 1449, 981, 4267, 267, 543, 10467, 547, 948, 596, 1451, 811, 827, 634, 918, 26234, 543, 824, 5396, 269, 5213, 1406, 4413, 519, 4960, 547, 946, 873, 585, 811, 2500, 2852, 2069, 269, 2422, 938, 6538, 540, 2055, 543, 4267, 593, 634, 918, 26234, 543, 1205, 2656, 3435, 585, 707, 1449, 563, 1432, 568, 634, 918, 26234, 888, 763, 12597, 568, 835, 540, 519, 1034, 1271, 10549, 538, 519, 1480, 1560, 269, 28210, 1063, 519, 3185, 584, 543, 512, 28992, 267, 621, 2636, 585, 3350, 543, 6617, 950, 6972, 267, 4881, 543, 17259, 269, 898, 568, 849, 513, 1950, 4745, 602, 3568, 2789, 7633, 267, 28587, 267, 6091, 543, 28844, 2324, 1927, 547, 5512, 891, 2238, 269, 4263, 922, 14724, 1377, 267, 519, 12597, 5161, 540, 1079, 1292, 3334, 281, 519, 1273, 7578, 630, 330, 26234, 1698, 264, 799, 26520, 593, 1283, 540, 519, 3185, 584, 5642, 282, 543, 519, 31443, 32097, 30301, 630, 10157, 299, 1070, 799, 2488, 14694, 6617, 2066, 519, 6418, 2460, 540, 519, 12597, 4745, 269, 634, 1273, 7578, 2337, 2149, 5817, 3889, 689, 1463, 8194, 1247, 3246, 1489, 585, 1978, 5322, 971, 607, 2695, 520, 1154, 610, 9054, 9934, 269, 11531, 267, 519, 631, 12710, 11151, 1932, 1454, 2427, 3562, 20933, 5163, 1369, 519, 4745, 3294, 269, 4033, 2694, 971, 607, 20162, 1683, 31289, 532, 1369, 713, 1858, 1247, 8220, 1114, 7633, 1927, 16638, 329, 1722, 547, 1022, 851, 540, 713, 6946, 2497, 666, 581, 5393, 11213, 543, 27676, 952, 711, 5701, 14013, 676, 2564, 4648, 609, 1995, 538, 7231, 609, 30273, 2152, 269, 5871, 7063, 2404, 609, 936, 2224, 1331, 25688, 4345, 630, 514, 25691, 1472, 28844, 1813, 547, 16625, 8833, 1070, 536, 2720, 4345, 630, 514, 25691, 1472, 5714, 5485, 338, 1070, 2367, 29234, 17229, 630, 322, 691, 18382, 3441, 264, 543, 838, 23230, 270, 14259, 1231, 3361, 676, 7050, 3196, 4294, 1282, 2534, 269, 769, 1840, 547, 891, 2175, 267, 2085, 5829, 28115, 894, 3676, 666, 849, 1860, 875, 1134, 707, 12597, 1568, 936, 5503, 3056, 547, 7411, 8876, 856, 4948, 4247, 899, 16246, 24383, 610, 28185, 3101, 2110, 9883, 1510, 1928, 610, 9636, 269, 901, 8711, 1946, 621, 568, 865, 1271, 602, 649, 1491, 1416, 540, 938, 19704, 2429, 1272, 269, 8617, 15198, 1354, 3635, 949, 948, 2569, 1981, 540, 5945, 607, 1134, 607, 2834, 2638, 5725, 693, 513, 4387, 779, 5604, 1141, 789, 666, 2708, 12972, 2042, 602, 1223, 1291, 547, 2417, 8374, 1524, 519, 1899, 952, 2451, 15860, 269, 5015, 267, 4189, 4550, 13611, 3536, 814, 1044, 1336, 3730, 538, 4227, 2589, 2404, 609, 12597, 1928, 1813, 547, 741, 2702, 547, 2087, 4745, 1072, 2949, 1818, 873, 606, 1271, 8192, 20013, 585, 1346, 3168, 1310, 741, 19704, 1279, 2165, 269, 0, 8133, 267, 4568, 666, 3565, 547, 19228, 538, 930, 2043, 267, 4352, 519, 2078, 1063, 4568, 4616, 543, 19228, 568, 1950, 543, 666, 4268, 689, 1268, 547, 1268, 269, 3371, 779, 875, 4568, 666, 581, 5532, 547, 19228, 912, 268, 1546, 5139, 1674, 281, 15850, 568, 513, 1019, 675, 6776, 267, 799, 1797, 621, 666, 2333, 10729, 2504, 543, 1291, 547, 18024, 269, 1546, 5139, 1674, 666, 1267, 538, 9875, 543, 5671, 518, 22454, 267, 1818, 621, 811, 2352, 547, 1780, 563, 268, 7054, 761, 566, 540, 519, 30887, 14528, 570, 847, 281, 15850, 666, 8886, 622, 519, 16298, 540, 519, 16063, 8778, 267, 5732, 3056, 547, 2242, 538, 15108, 6208, 269, 901, 16698, 666, 1860, 519, 3339, 8647, 540, 519, 9667, 1062, 563, 268, 2598, 8306, 540, 28066, 7763, 1006, 281, 15850, 666, 7519, 519, 3339, 27373, 543, 5322, 540, 519, 24026, 267, 799, 616, 1898, 585, 1697, 12536, 543, 15108, 2834, 640, 269, 901, 17522, 666, 1267, 538, 14887, 18302, 2053, 543, 19228, 563, 268, 15448, 538, 10791, 543, 14856, 18963, 281, 2368, 1004, 949, 1689, 741, 8192, 6208, 950, 10438, 4568, 267, 1519, 4189, 1447, 6775, 610, 10438, 811, 14432, 3536, 267, 799, 666, 3565, 547, 19228, 563, 268, 20506, 9577, 281, 28246, 610, 5312, 4568, 4616, 666, 1291, 547, 6797, 3441, 267, 543, 519, 6797, 4249, 513, 1909, 538, 4393, 6878, 538, 519, 1560, 267, 1519, 1346, 602, 1860, 519, 9667, 1062, 563, 2005, 779, 1271, 547, 5431, 602, 711, 3025, 786, 1995, 19228, 607, 513, 1267, 540, 4568, 4616, 269, 3958, 267, 519, 2078, 1063, 4568, 543, 19228, 949, 581, 6766, 676, 2188, 971, 607, 519, 1826, 540, 4568, 267, 519, 2179, 10057, 267, 543, 1367, 10892, 563, 2252, 596, 2461, 7680, 19228, 602, 596, 3494, 949, 581, 1644, 547, 4568, 4616, 267, 621, 779, 19624, 547, 9793, 707, 4568, 6981, 543, 2333, 707, 5714, 543, 6775, 6981, 547, 948, 13468, 519, 3390, 269, 1403, 19228, 26251, 610, 3587, 513, 18596, 1966, 267, 621, 779, 513, 1434, 2856, 547, 5077, 513, 3782, 3318, 585, 513, 1697, 6268, 543, 5583, 593, 5883, 707, 2589, 269, 0, 1103, 519, 3838, 1533, 2203, 267, 2042, 1376, 5186, 6137, 909, 1813, 547, 1533, 1373, 513, 4573, 762, 835, 269, 1284, 4121, 875, 2182, 621, 3587, 547, 7157, 15222, 1125, 519, 8142, 1533, 267, 5329, 538, 2247, 519, 2702, 547, 960, 609, 2953, 1145, 267, 27781, 267, 543, 4666, 331, 4169, 563, 1103, 713, 3184, 267, 649, 786, 1413, 693, 598, 2017, 6275, 3270, 267, 7361, 689, 513, 6198, 5133, 269, 23398, 14691, 630, 17025, 264, 568, 513, 6198, 17565, 543, 513, 22294, 540, 674, 303, 568, 1799, 583, 1464, 269, 1284, 786, 946, 2480, 8403, 547, 1353, 713, 2460, 269, 8056, 17014, 1239, 3889, 946, 7293, 4687, 543, 10770, 1239, 3889, 547, 2327, 2773, 2059, 609, 3106, 18715, 563, 2171, 786, 849, 1413, 693, 2104, 27727, 607, 513, 6041, 540, 607, 2106, 28942, 19106, 269, 1306, 2106, 28942, 26398, 946, 16060, 538, 606, 19993, 1259, 269, 589, 2480, 8403, 2104, 568, 849, 513, 1395, 611, 267, 5356, 9152, 1464, 563, 2080, 568, 1018, 713, 3184, 786, 3382, 912, 1607, 3795, 1058, 5965, 721, 1134, 547, 1174, 519, 17076, 17565, 267, 4947, 909, 538, 519, 1985, 3184, 1862, 0, 291, 14217, 648, 781, 7326, 31438, 998, 607, 646, 19595, 721, 602, 1256, 538, 519, 6926, 752, 652, 8090, 540, 938, 2729, 267, 972, 568, 513, 1350, 20810, 540, 4126, 563, 291, 14217, 648, 781, 10839, 5713, 607, 513, 9543, 562, 19276, 547, 7618, 721, 602, 1247, 9909, 543, 27606, 616, 1898, 267, 649, 1590, 711, 6336, 8289, 540, 519, 1459, 269, 898, 7512, 721, 547, 10880, 513, 3666, 1063, 938, 17050, 543, 519, 8090, 649, 2811, 2713, 1631, 454, 291, 14217, 648, 781, 5813, 883, 519, 1379, 540, 1913, 8711, 741, 2702, 547, 3337, 938, 4641, 269, 6787, 998, 11587, 267, 19015, 267, 610, 5168, 267, 938, 1913, 3180, 10373, 1761, 585, 1689, 543, 7004, 267, 1818, 721, 530, 23275, 540, 938, 1378, 2984, 563, 291, 14217, 648, 781, 10839, 568, 513, 12576, 602, 5821, 568, 711, 513, 8628, 1533, 855, 2864, 513, 19480, 6149, 2509, 2208, 269, 898, 7512, 6043, 543, 519, 8990, 547, 4473, 1310, 1142, 2887, 454, 291, 14217, 648, 781, 7326, 30172, 519, 2956, 540, 9322, 543, 9316, 538, 938, 2950, 543, 7239, 269, 898, 19595, 721, 602, 4222, 6013, 538, 4947, 1927, 267, 1247, 6498, 666, 14020, 721, 269, 898, 781, 513, 1289, 547, 8115, 10616, 543, 1628, 4296, 563, 291, 14217, 648, 781, 10839, 19156, 602, 10100, 568, 711, 9003, 827, 6849, 5007, 6937, 269, 898, 781, 849, 827, 2348, 519, 5837, 4222, 547, 1796, 909, 585, 1018, 781, 1318, 454, 1607, 10839, 11363, 519, 2956, 540, 5837, 5079, 267, 2523, 1282, 2352, 2053, 269, 898, 7512, 721, 547, 5706, 519, 31112, 540, 519, 4443, 2619, 543, 547, 798, 1018, 568, 1318, 267, 607, 621, 11225, 938, 1915, 543, 5546, 519, 1158, 649, 2661, 538, 563, 291, 14217, 648, 781, 5813, 1443, 2478, 1996, 21084, 543, 15413, 1143, 269, 898, 7512, 721, 547, 13720, 938, 1928, 543, 2042, 2212, 6823, 267, 607, 5466, 873, 19692, 2864, 982, 2663, 568, 1898, 585, 2123, 2208, 543, 7067, 563, 1607, 10839, 8711, 519, 4644, 540, 938, 5079, 538, 10747, 945, 649, 616, 269, 898, 19595, 721, 602, 938, 3527, 543, 3664, 267, 9141, 676, 938, 2418, 543, 3741, 267, 7866, 938, 1915, 543, 1761, 811, 25340, 982, 938, 17916, 5759, 4805, 563, 291, 14217, 648, 781, 8480, 7512, 721, 547, 2057, 3478, 4503, 538, 2192, 16272, 610, 9909, 540, 1018, 1522, 723, 1044, 269, 5502, 267, 621, 19595, 721, 547, 1445, 593, 519, 1483, 2591, 543, 3255, 1272, 6799, 454, 291, 14217, 648, 781, 7096, 1913, 4001, 721, 602, 2648, 568, 519, 1034, 14984, 543, 10475, 3196, 538, 519, 1158, 269, 1358, 7618, 721, 602, 621, 781, 711, 519, 8977, 539, 649, 1058, 533, 640, 855, 2864, 1346, 945, 2291, 1510, 7680, 519, 7096, 543, 13710, 1379, 540, 2648, 267, 10771, 922, 1898, 1909, 538, 938, 2729, 269, 0, 289, 534, 1676, 16133, 8596, 267, 849, 1634, 607, 16133, 17176, 610, 16133, 22572, 267, 616, 5907, 3457, 1031, 547, 3713, 519, 4527, 610, 9000, 540, 606, 1843, 1369, 513, 1978, 2039, 610, 16133, 269, 1452, 8596, 616, 4122, 1031, 538, 4853 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8992, 11005, 543, 6971, 2566, 269, 1635, 3384, 1226, 534, 14383, 543, 1875, 3146, 13808, 267, 9439, 1451, 547, 4431, 547, 4101, 4664, 609, 9350, 1145, 543, 6043, 267, 5807, 3929, 1134, 5630, 543, 6418, 4708, 563, 18719, 1386, 24517, 1674, 543, 10076, 1849, 10846, 281, 966, 760, 817, 3570, 10597, 5834, 543, 1445, 998, 519, 2259, 540, 13455, 3007, 547, 519, 1459, 4090, 269, 901, 8325, 2989, 2790, 9355, 11498, 3564, 9066, 7886, 267, 9797, 18363, 3232, 4247, 267, 3375, 6194, 267, 543, 1966, 9010, 5759, 563, 18719, 1407, 10076, 25682, 281, 634, 2566, 3146, 12340, 1324, 2360, 540, 966, 760, 817, 3570, 9066, 666, 2087, 707, 2790, 9716, 269, 1411, 1745, 1769, 1317, 642, 760, 817, 3570, 1625, 5809, 707, 2247, 543, 18788, 2258, 18356, 689, 707, 2247, 563, 18719, 557, 15350, 281, 898, 10607, 3965, 267, 2636, 835, 547, 3314, 1919, 1134, 267, 543, 711, 547, 7340, 610, 25657, 1919, 602, 835, 814, 2944, 585, 3965, 563, 290, 738, 10474, 540, 3281, 6842, 543, 27919, 281, 966, 760, 817, 3570, 10114, 999, 513, 2620, 2631, 540, 8296, 543, 6568, 2509, 13951, 543, 1866, 269, 1306, 9439, 1020, 5813, 883, 519, 25872, 540, 782, 7919, 267, 789, 6923, 6536, 11587, 267, 1620, 267, 543, 513, 9758, 6161, 585, 519, 1134, 5630, 540, 1866, 563, 291, 2465, 704, 4197, 540, 519, 9650, 5174, 1328, 17583, 281, 966, 760, 817, 3570, 9066, 2636, 2043, 547, 7747, 519, 6946, 2078, 1063, 519, 2247, 543, 519, 1560, 269, 901, 4656, 2337, 538, 9301, 519, 3310, 540, 4555, 267, 4664, 267, 543, 17915, 593, 2168, 1134, 5630, 267, 7175, 2043, 547, 1118, 6857, 5079, 585, 741, 11455, 1072, 563, 3725, 3161, 540, 20134, 18963, 281, 3414, 519, 2259, 540, 966, 760, 817, 3570, 267, 2043, 1831, 3222, 540, 7184, 3824, 11712, 2942, 3270, 543, 27589, 269, 1635, 11287, 891, 3270, 609, 9355, 543, 1875, 268, 1211, 2305, 267, 9439, 666, 7930, 1577, 979, 540, 796, 15276, 995, 5615, 267, 26351, 267, 543, 27589, 267, 3056, 547, 2123, 2208, 543, 19802, 563, 290, 738, 10474, 540, 4982, 534, 14383, 281, 966, 760, 817, 3570, 11414, 1226, 534, 14383, 267, 519, 2702, 547, 2611, 7059, 543, 16561, 538, 519, 3068, 540, 1272, 779, 2591, 543, 22705, 543, 17498, 269, 901, 2298, 540, 2247, 2636, 2043, 547, 6330, 998, 7965, 609, 6043, 543, 735, 3837, 267, 5009, 2790, 543, 3929, 1134, 5630, 563, 15124, 518, 6184, 697, 543, 27067, 281, 966, 760, 817, 3570, 9066, 2620, 839, 5813, 543, 7326, 883, 519, 6650, 2006, 550, 543, 2479, 19145, 2470, 540, 4641, 269, 901, 7096, 1620, 2337, 2043, 1020, 513, 6626, 5133, 267, 7175, 873, 547, 2661, 609, 3152, 9355, 267, 3483, 267, 543, 13597, 563, 5319, 13874, 281, 1635, 2834, 2259, 540, 966, 760, 817, 3570, 9066, 835, 666, 12492, 21481, 269, 966, 760, 817, 3570, 568, 519, 5728, 540, 519, 21481, 540, 7083, 17700, 563, 288, 2151, 557, 14451, 3117, 4109, 1145, 281, 3414, 966, 760, 817, 3570, 267, 596, 666, 3035, 2362, 9637, 269, 14451, 9637, 568, 519, 9637, 602, 568, 25189, 676, 1390, 521, 1137, 267, 20577, 267, 543, 1585, 29331, 540, 1114, 10764, 563, 3725, 557, 1023, 519, 18266, 281, 898, 6770, 519, 1367, 267, 1312, 7811, 543, 4052, 267, 547, 1174, 519, 5168, 593, 513, 4514, 1377, 267, 585, 1383, 1620, 519, 2247, 543, 9997, 269, 898, 8761, 519, 5168, 540, 519, 7122, 543, 922, 5137, 563, 763, 2640, 540, 966, 760, 817, 3570, 25990, 616, 1655, 4810, 998, 2834, 543, 6131, 2259, 269, 5900, 2056, 966, 760, 817, 3570, 18956, 338, 610, 1565, 689, 4810, 3610, 666, 1683, 513, 11215, 1604, 585, 29947, 519, 2259, 543, 556, 12686, 922, 13710, 12587, 563, 1692, 547, 1684, 966, 760, 817, 3570, 25990, 888, 309, 760, 817, 3570, 9066, 568, 513, 2757, 1106, 540, 14418, 9066, 602, 6212, 593, 3384, 5813, 543, 11009, 269, 966, 760, 817, 3570, 9066, 4480, 568, 513, 2241, 543, 4052, 1259, 547, 3035, 3020, 4708, 540, 2247, 543, 1291, 513, 6126, 267, 11327, 1272, 269, 898, 2882, 513, 6899, 1747, 267, 1445, 593, 7244, 267, 11287, 519, 6418, 543, 9018, 1158, 267, 543, 14839, 563, 2080, 616, 519, 2596, 3268, 547, 2259, 966, 760, 817, 3570, 9066, 912, 268, 4855, 513, 2372, 2884, 543, 1290, 13025, 9255, 281, 7994, 513, 9602, 4087, 1141, 596, 666, 1694, 3768, 626, 32328, 585, 930, 942, 269, 898, 1223, 581, 513, 9066, 10689, 267, 513, 6131, 4055, 267, 610, 1022, 12560, 7944, 540, 707, 1753, 563, 268, 27539, 513, 1290, 13025, 5403, 675, 281, 23063, 538, 513, 3444, 6122, 13949, 2990, 593, 513, 31289, 610, 513, 11381, 609, 707, 1394, 2786, 269, 1411, 666, 849, 3442, 547, 9114, 1524, 952, 9361, 568, 13943, 269, 634, 1271, 3364, 568, 547, 2226, 513, 2990, 602, 2636, 596, 547, 581, 10332, 543, 17159, 563, 268, 10312, 593, 2659, 22165, 327, 281, 10670, 676, 9878, 3007, 547, 707, 2067, 7362, 269, 27297, 519, 14815, 540, 519, 7362, 607, 621, 13788, 543, 3762, 707, 19911, 337, 2812, 269, 2142, 4628, 1459, 609, 1142, 7362, 267, 711, 6005, 519, 11029, 17915, 1510, 9013, 610, 22392, 519, 7362, 563, 268, 3763, 24238, 281, 1306, 596, 3136, 547, 7747, 707, 7362, 267, 707, 2247, 949, 32603, 269, 24269, 596, 5469, 602, 707, 2247, 814, 18389, 1229, 267, 9900, 3142, 707, 3007, 1394, 547, 519, 7362, 269, 2142, 3222, 540, 1022, 4555, 267, 4664, 267, 610, 2168, 17915, 602, 8451, 1510, 10385, 610, 13613, 563, 268, 30771, 2659, 17607, 281, 26431, 4228, 707, 4656, 547, 1331, 824, 17915, 538, 707, 1560, 269, 27297, 1022, 2168, 17915, 267, 971, 607, 14246, 267, 8082, 267, 610, 32688, 269, 9796, 3007, 547, 891, 17915, 609, 1226, 534, 14383, 267, 9444, 804, 15781, 547, 16990, 17915, 6862, 5706, 532, 18473, 3283, 563, 268, 27297, 32438, 543, 30248, 281, 1306, 4555, 543, 4664, 8451, 267, 3274, 7747, 873, 1510, 3478, 9575, 909, 538, 741, 1543, 269, 18564, 519, 23644, 2470, 540, 4555, 543, 4664, 267, 15603, 873, 2097, 543, 979, 1510, 10385, 610, 8446, 563, 268, 4980, 10675, 700, 8221, 11860, 785, 1145, 281, 1306, 596, 1020, 11009, 543, 5813, 267, 596, 666, 849, 11349, 15962, 29292, 1145, 630, 18404, 3279, 264, 2509, 3054, 543, 1866, 269, 6657, 11488, 1134, 16858, 543, 8296, 547, 782, 7919, 267, 1519, 3054, 267, 707, 6068, 3283, 267, 543, 1256, 1346, 945, 949, 723, 3361, 596, 2800, 563, 268, 6657, 17115, 281, 966, 760, 817, 3570, 9066, 568, 1034, 2500, 950, 13736, 9846, 269, 3399, 609, 10156, 7886, 267, 971, 607, 476, 1015, 547, 476, 1428, 3764, 267, 543, 7930, 2333, 519, 8653, 607, 596, 1831, 811, 6899, 269, 13667, 585, 2834, 2259, 267, 23679, 3232, 267, 547, 1995, 519, 2640, 540, 9066, 563, 21615, 1046, 532, 593, 513, 966, 760, 817, 3570, 3460, 3340, 7029, 267, 9639, 267, 543, 606, 22371, 547, 519, 1184, 540, 1582, 22523, 269, 898, 568, 5227, 547, 1451, 966, 760, 817, 3570, 9066, 689, 4810, 3610, 610, 676, 11504, 966, 760, 817, 3570, 18956, 338, 1141, 519, 4480, 568, 6026, 538, 922, 8076, 1106, 563, 9802, 707, 3408, 540, 966, 760, 817, 3570, 25990, 3142, 596, 7096, 4030, 267, 4708, 267, 543, 7326, 607, 596, 25500, 519, 2619, 540, 1582, 3146, 531, 1436, 563, 3891, 568, 519, 674, 10133, 543, 16628, 540, 519, 9751, 543, 6076, 18522, 7577, 2048, 31416, 31522, 1299, 1411, 9957, 1261, 568, 606, 28589, 25682, 3213, 778, 267, 5020, 3213, 778, 267, 11020, 25566, 267, 543, 21541, 518, 585, 4065, 267, 23654, 267, 543, 29661, 1222, 269, 1280, 811, 982, 476, 278, 1296, 267, 646, 9447, 14245, 593, 20835, 267, 2247, 5752, 267, 543, 8404, 269, 1261, 1705, 1010, 645, 269, 27700, 538, 8668, 543, 2663, 3442, 547, 581, 513, 3811, 18673, 269, 1261, 568, 4543, 1004, 538, 1585, 2081, 998, 1010, 13508, 543, 2866, 7886, 269, 0, 4263, 519, 1439, 540, 4728, 267, 513, 642, 2658, 945, 5249, 585, 811, 982, 476, 1015, 1296, 538, 519, 12748, 2472, 4123, 5483, 1744, 836, 323, 784, 6355, 11545, 602, 519, 1034, 851, 540, 695, 3234, 1186, 4421, 538, 519, 6990, 540, 29883, 534, 616, 20386, 538, 606, 476, 5390, 10359, 547, 8190, 741, 4195, 1145, 269, 1809, 1354, 1373, 20386, 538, 4672, 267, 646, 1767, 267, 789, 616, 865, 8898, 538, 6464, 538, 1931, 547, 5595, 741, 2597, 563, 25748, 267, 513, 19784, 689, 519, 29305, 6767, 334, 6355, 11545, 1705, 930, 1382, 538, 513, 2199, 16872, 2344, 543, 4362, 602, 1896, 588, 8712, 941, 9513, 713, 1826, 540, 26947, 865, 8898, 695, 3234, 1186, 269, 589, 17783, 29993, 5143, 519, 19784, 1018, 4523, 3297, 519, 10207, 281, 519, 695, 3234, 1186, 616, 849, 865, 8898, 538, 9770, 28355, 267, 513, 3070, 799, 568, 1455, 1369, 519, 4853, 5823, 563, 1103, 1769, 540, 713, 1344, 267, 621, 779, 711, 2352, 547, 2491, 1946, 2656, 1922, 549, 7999, 695, 3234, 1186, 711, 1152, 6336, 513, 2603, 540, 2597, 2899, 789, 1376, 1219, 15543, 532, 267, 855, 849, 32338, 622, 513, 9490, 9329, 950, 789, 616, 11273, 269, 4340, 547, 18681, 32599, 1993, 320, 267, 513, 11001, 693, 29305, 6767, 334, 17384, 344, 5303, 15019, 1436, 6728, 267, 968, 4322, 695, 3234, 1186, 711, 1152, 616, 865, 8898, 538, 1309, 755, 545, 14614, 267, 855, 849, 538, 513, 6101, 24957, 3070, 269, 634, 695, 3234, 1186, 616, 1101, 569, 865, 8898, 538, 519, 6101, 24957, 3070, 267, 799, 10322, 559, 3278, 873, 543, 28933, 741, 4195, 1145, 267, 543, 1287, 538, 1309, 755, 545, 14614, 269, 901, 568, 875, 789, 1689, 3337, 538, 513, 2582, 21199, 282, 4742, 20715, 695, 3234, 1186, 3034, 2252, 10057, 936, 513, 1279, 1974, 267, 695, 3234, 1186, 865, 8898, 538, 6464, 666, 581, 5393, 5739, 547, 1480, 1072, 269, 29305, 6767, 334, 4634, 532, 5240, 11329, 856, 602, 11375, 2718, 1507, 9424, 540, 6101, 24957, 666, 2014, 3500, 15464, 607, 1134, 607, 3676, 971, 607, 17172, 2670, 269, 7043, 3856, 32480, 568, 2693, 547, 1860, 1072, 16094, 563, 30509, 689, 2656, 1922, 549, 7999, 695, 3234, 1186, 282, 12015, 695, 3234, 1186, 543, 824, 16152, 799, 616, 2834, 9311, 9323, 540, 23931, 16098, 267, 723, 1044, 7318, 543, 1336, 547, 2270, 7050, 2157, 540, 6101, 24957, 563, 2691, 6800, 4444, 2656, 1922, 549, 7999, 695, 3234, 1186, 20386, 538, 606, 968, 5390, 10359, 5608, 789, 1522, 1589, 602, 267, 950, 519, 695, 3234, 1186, 1219, 15543, 267, 693, 1655, 789, 786, 6336, 930, 15073, 836, 630, 2004, 10101, 1040, 2107, 789, 1522, 15260, 675, 2933, 609, 519, 2219, 602, 267, 2899, 519, 476, 5390, 10359, 5283, 1206, 267, 693, 2547, 519, 3330, 540, 519, 695, 3234, 1186, 786, 581, 968, 9418, 6100, 1717, 267, 607, 2038, 607, 476, 1220, 277, 267, 3624, 21158, 3370, 513, 2147, 3329, 894, 1867, 267, 13031, 602, 20566, 543, 737, 517, 329, 659, 7912, 941, 519, 1292, 5820, 540, 519, 968, 691, 4716, 695, 3234, 1186, 892, 602, 6360, 19864, 779, 6578, 3905, 13607, 2344, 563, 1607, 1032, 267, 1282, 519, 2817, 4658, 779, 6837, 543, 4457, 4658, 779, 11572, 13693, 894, 6837, 267, 3557, 7027, 13030, 30856, 15651, 1627, 880, 534, 267, 4547, 909, 519, 1641, 540, 1426, 3106, 2152, 543, 1767, 646, 5433, 968, 10603, 1551, 21724, 6100, 5502, 540, 4743, 19849, 21724, 267, 519, 2229, 1058, 2936, 11826, 15569, 3800, 1369, 519, 1426, 3106, 2361, 269, 0, 763, 667, 592, 576, 12476, 24242, 3069, 568, 835, 540, 519, 1034, 11786, 543, 12357, 3584, 538, 519, 1158, 540, 24242, 6436, 269, 4340, 547, 713, 3069, 267, 519, 2475, 2229, 814, 3710, 513, 5728, 11895, 9744, 538, 667, 592, 576, 267, 1715, 6792, 267, 1141, 789, 2932, 513, 2039, 540, 6901, 593, 1480, 5396, 267, 1519, 4719, 4702, 267, 2247, 1852, 267, 543, 519, 1353, 540, 31373, 14111, 1272, 563, 763, 3069, 4422, 602, 519, 667, 592, 576, 12476, 729, 3710, 538, 519, 476, 3707, 271, 338, 267, 543, 814, 2094, 9450, 883, 513, 5318, 1950, 540, 11895, 25310, 543, 20830, 269, 3117, 335, 16820, 28466, 3409, 602, 519, 3490, 568, 2196, 676, 513, 14692, 344, 1895, 540, 2229, 8387, 543, 3744, 945, 2626, 547, 1100, 835, 855, 2933, 563, 6624, 540, 519, 1034, 26648, 6811, 827, 519, 667, 592, 576, 12476, 2097, 689, 16957, 27646, 321, 869, 619, 945, 723, 2097, 4464, 936, 519, 1296, 269, 1452, 27646, 321, 869, 619, 3409, 547, 723, 5249, 693, 519, 3490 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2852, 13464, 269, 898, 5540, 5428, 6214, 267, 2229, 29904, 6483, 267, 519, 1648, 2872, 267, 21035, 267, 3506, 267, 543, 6800, 269, 1809, 519, 2852, 13464, 568, 1141, 519, 3350, 4991, 922, 5639, 540, 6392, 267, 543, 1141, 621, 28633, 519, 5784, 543, 12981, 519, 3007, 540, 1762, 1004, 563, 4407, 649, 1491, 1100, 2990, 538, 519, 2916, 1689, 7521, 267, 649, 1445, 538, 713, 1353, 593, 875, 519, 6940, 3350, 814, 25302, 2362, 2069, 269, 1284, 4983, 519, 2800, 621, 814, 2944, 547, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 14298, 18426, 13316, 1315, 11806, 266, 5525, 1315, 22985, 5525, 1315, 22985, 2920, 13659, 543, 4317, 28073, 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, 3408, 540, 14208, 16644, 6064, 8422, 590, 8651, 28524, 256, 1411, 1522, 581, 11842, 267, 1018, 568, 713, 1826, 540, 8105, 782, 827, 286, 4270, 267, 1577, 781, 4685, 883, 621, 1927, 2439, 16248, 590, 8651, 28524, 568, 513, 2757, 1259, 540, 9544, 543, 3395, 1426, 602, 814, 1044, 13736, 676, 7111, 1977, 11031, 899, 519, 14208, 16644, 6064, 1004, 585, 5215, 540, 1296, 269, 898, 3322, 3395, 1614, 1292, 2371, 910, 8970, 267, 10365, 267, 543, 23601, 910, 1927, 538, 835, 4677, 15429, 269, 1452, 1614, 7031, 1489, 1142, 824, 1247, 789, 1332, 267, 1175, 899, 16254, 4543, 856, 741, 1920, 2818, 256, 2913, 781, 1451, 811, 827, 891, 5863, 2468, 334, 540, 5388, 780, 5575, 909, 267, 649, 723, 8970, 256, 12397, 630, 10193, 1634, 607, 22959, 264, 6763, 7381, 543, 2178, 1851, 922, 8284, 19946, 269, 1879, 12630, 2673, 1927, 609, 10365, 543, 23601, 267, 519, 8970, 2488, 2497, 543, 1489, 585, 519, 16246, 21167, 30676, 269, 5994, 2348, 19756, 18635, 538, 707, 18147, 282, 1631, 5372, 1346, 18635, 609, 8949, 8970, 26106, 802, 3079, 2439, 9202, 2501, 519, 15931, 2370, 6172, 1499, 1107, 519, 10365, 256, 2142, 753, 917, 875, 547, 946, 519, 8970, 607, 513, 21117, 267, 28277, 2933, 1472, 519, 8970, 560, 531, 802, 607, 789, 3914, 2509, 519, 6607, 269, 1809, 7227, 267, 972, 779, 811, 256, 2142, 753, 849, 798, 1945, 9589, 1572, 9436, 30651, 269, 1358, 1491, 6263, 5536, 689, 519, 2011, 543, 6460, 873, 883, 5567, 602, 10802, 519, 3037, 269, 1924, 950, 596, 1294, 3039, 3762, 593, 21167, 2371, 267, 1589, 540, 873, 607, 2470, 781, 1360, 1378, 27568, 9494, 519, 1554, 676, 1818, 519, 3618, 8902, 543, 18668, 2439, 7661, 267, 2743, 519, 2666, 3382, 22299, 1107, 519, 23601, 256, 8293, 1662, 9428, 2059, 519, 2666, 267, 10825, 2647, 1063, 519, 9343, 540, 8970, 543, 10365, 269, 4706, 2462, 3762, 1711, 12094, 799, 2337, 1832, 7509, 538, 519, 3037, 543, 11151, 18047, 689, 1402, 4771, 909, 796, 28717, 1243, 269, 6056, 540, 23601, 607, 519, 8825, 4587, 24107, 945, 2306, 2386, 3025, 4991, 2614, 1216, 543, 8952, 13311, 14538, 2476, 780, 3528, 2324, 24625, 8271, 267, 891, 1614, 2371, 1106, 513, 18900, 2146, 1141, 1169, 4759, 8309, 547, 519, 8171, 540, 519, 1866, 269, 1656, 7058, 1018, 286, 1284, 666, 2972, 17705, 6980, 1500, 689, 741, 7556, 1932, 256, 1215, 15813, 568, 602, 2496, 3086, 4952, 952, 649, 1223, 4019, 930, 4245, 689, 8422, 590, 8651, 28524, 547, 938, 3232, 2729, 269, 11554, 1927, 267, 5885, 835, 1776, 267, 543, 4466, 2081, 547, 948, 1142, 824, 8853, 1107, 3085, 1405, 602, 3280, 8748, 286, 3807, 899, 519, 1614, 4190, 19946, 7555, 2427, 676, 2427, 538, 513, 4677, 267, 649, 666, 11349, 11587, 267, 9316, 267, 543, 2463, 1369, 938, 3885, 267, 3506, 267, 543, 2950, 780, 3383, 1985, 942, 596, 1694, 1524, 585, 12129, 267, 3314, 519, 6909, 1650, 3297, 14208, 16644, 6064, 8422, 590, 8651, 28524, 269, 2561, 3285, 622, 519, 3646, 2322, 8521, 676, 891, 14388, 7031, 865, 602, 649, 949, 16138, 880, 6000, 543, 8661, 519, 5898, 540, 2686, 5389, 5293, 1524, 998, 5481, 269, 8414, 1565, 267, 15210, 2828, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 30469, 8615, 1583, 613, 344, 5271, 3534, 605, 345, 528, 13960, 10153, 8615, 519, 7800, 652, 540, 519, 1614, 19946, 267, 1352, 568, 519, 1319, 686, 1105, 531, 4137, 540, 519, 605, 345, 528, 990, 1920, 1498, 693, 519, 4098, 540, 519, 1404, 1352, 568, 1152, 476, 2764, 1296, 2025, 269, 13772, 1614, 19946, 4005, 476, 272, 267, 12558, 476, 1626, 11078, 2736, 269, 634, 13009, 568, 5097, 1031, 585, 19482, 543, 30618, 532, 543, 568, 1655, 1031, 689, 562, 4912, 2394, 15292, 269, 8422, 19946, 561, 17690, 3141, 322, 611, 807, 18992, 1579, 1714, 636, 16314, 269, 8422, 19946, 10786, 1023, 267, 26270, 322, 782, 2067, 1688, 8154, 539, 269, 634, 1614, 19589, 616, 519, 3791, 267, 8772, 267, 543, 11359, 327, 580, 4554, 538, 522, 13791, 267, 543, 2270, 476, 1626, 3957, 22260, 269, 1635, 5283, 20811, 737, 745, 572, 701, 324, 1255, 267, 2069, 4717, 13541, 585, 1082, 5065, 7819, 2950, 267, 1614, 5452, 8970, 267, 10365, 267, 543, 23601, 2099, 519, 1034, 1271, 7031, 269, 589, 2046, 5305, 3947, 1344, 593, 1018, 547, 2503, 269, 1306, 851, 540, 705, 14369, 5641, 689, 519, 2250, 3018, 267, 6067, 903, 4547, 1927, 1079, 540, 519, 1614, 19946, 689, 519, 3312, 19259, 539, 3126, 269, 901, 568, 519, 632, 1061, 1947, 2241, 23350, 540, 1750, 16223, 990, 338, 13249, 5669, 20100, 267, 1614, 19946, 269, 8422, 19946, 4005, 476, 272, 2407, 14501, 3649, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 295, 334, 16644, 6064, 8422, 590, 8651, 28524, 257, 607, 851, 540, 834, 23733, 1315, 13636, 1299, 8836, 1315, 7087, 5253, 540, 25725, 6816, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2171, 949, 1376, 6158, 827, 1346, 1919, 1586, 269, 594, 917, 16024, 1014, 333, 4991, 13347, 950, 1004, 2911, 827, 1686, 15203, 267, 855, 609, 519, 476, 4200, 260, 17600, 538, 9823, 267, 594, 9327, 1406, 581, 14281, 952, 1004, 1376, 2519, 593, 1554, 3249, 543, 824, 11636, 2152, 602, 11570, 941, 11319, 585, 1394, 538, 519, 476, 2568, 338, 543, 476, 3583, 338, 563, 2467, 779, 711, 2965, 607, 2462, 513, 3332, 593, 519, 2360, 540, 1554, 3249, 593, 3158, 779, 960, 607, 972, 11129, 547, 581, 269, 670, 4007, 3332, 593, 519, 2360, 540, 1554, 3249, 593, 3214, 630, 637, 1828, 281, 1164, 2298, 1554, 3249, 1434, 585, 1970, 590, 2464, 3214, 267, 1970, 2298, 1554, 3249, 3983, 585, 16764, 1070, 855, 711, 865, 2462, 593, 3158, 779, 960, 269, 4634, 1498, 621, 779, 1044, 513, 2462, 3609, 3390, 2094, 519, 476, 4198, 271, 338, 563, 19751, 476, 1839, 267, 476, 1001, 272, 693, 476, 278, 281, 2918, 993, 454, 296, 993, 20868, 569, 29341, 538, 713, 2543, 1317, 1250, 667, 295, 779, 27404, 2882, 630, 335, 21332, 762, 267, 855, 693, 968, 516, 32208, 892, 3928, 676, 2475, 4441, 2443, 693, 2547, 585, 1631, 282, 1169, 1533, 6578, 6433, 1045, 10280, 17116, 678, 3518, 13530, 264, 711, 1152, 1895, 3795, 585, 1864, 855, 849, 585, 803, 543, 938, 8200, 4433, 1040, 1520, 1102, 8181, 636, 267, 1775, 4318, 1421, 896, 1699, 3652, 267, 594, 1223, 723, 630, 335, 21332, 264, 621, 1631, 543, 1832, 621, 630, 553, 1279, 607, 594, 2628, 519, 14167, 338, 264, 2394, 594, 1183, 601, 936, 543, 26712, 2394, 646, 779, 2937, 267, 1256, 952, 667, 295, 1183, 1564, 936, 269, 594, 798, 1589, 602, 594, 723, 547, 3251, 9310, 547, 519, 18560, 267, 1498, 267, 865, 972, 779, 2141, 513, 6952, 6902, 1040, 594, 993, 711, 1210, 713, 267, 855, 621, 779, 835, 811, 3364, 594, 1832, 538, 519, 1394, 540, 1250, 2247, 538, 2474, 540, 661, 325, 1495, 338, 543, 971, 269, 769, 519, 4207, 2475, 630, 338, 611, 569, 1070, 621, 779, 513, 7168, 5863, 3364, 563, 19751, 476, 2190, 267, 476, 1001, 272, 693, 476, 272, 281, 4649, 10681, 454, 1607, 568, 568, 513, 3978, 4901, 267, 855, 594, 993, 4368, 730, 593, 968, 345, 889, 342, 1846, 1848, 1924, 267, 1577, 779, 1689, 4583, 5152, 10643, 270, 569, 7879, 547, 6451, 713, 9241, 2173, 842, 539, 9304, 2336, 272, 269, 19656, 267, 666, 596, 22302, 513, 1990, 889, 342, 520, 888, 273, 269, 2701, 1568, 2182, 585, 519, 1990, 889, 342, 1846, 563, 274, 269, 2098, 889, 342, 1846, 267, 1990, 889, 342, 1846, 267, 1990, 889, 342, 1846, 454, 275, 269, 594, 6557, 707, 4357, 15854, 1356, 267, 15854, 1356, 585, 1990, 889, 342, 1846, 267, 1022, 2025, 2575, 786, 798, 563, 276, 269, 8307, 8695, 945, 4688, 741, 1990, 889, 342, 1846, 1118, 1250, 24925, 1554, 563, 277, 269, 594, 3893, 1250, 2247, 593, 1250, 1990, 889, 342, 1846, 267, 543, 1250, 1990, 889, 342, 1846, 593, 1250, 2247, 563, 278, 269, 2098, 889, 342, 1846, 269, 2098, 889, 342, 1846, 1689, 3388, 563, 279, 269, 2098, 889, 342, 1846, 1118, 519, 1158, 979, 1472, 267, 519, 1158, 979, 1472, 563, 280, 269, 5901, 707, 554, 5622, 2151, 543, 519, 4871, 6589, 269, 20531, 7911, 267, 594, 3142, 1753, 519, 1990, 889, 342, 1846, 1631, 563, 1015, 269, 1403, 594, 1185, 513, 2929, 1990, 889, 342, 1846, 267, 594, 8910, 581, 3638, 563, 19751, 476, 2190, 267, 476, 1001, 272, 693, 476, 273, 281, 1704, 10681, 454, 19751, 476, 2918, 267, 476, 1001, 272, 693, 476, 279, 281, 4510, 10681, 454, 763, 2856, 602, 1004, 3247, 3843, 547, 1118, 811, 2724, 952, 519, 5207, 8589, 3454, 2557, 568, 1932, 1164, 568, 11613, 535, 265, 1188, 523, 21494, 269, 4495, 596, 723, 7366, 540, 6634, 540, 9489, 267, 972, 568, 3274, 1100, 1259, 547, 1256, 6108, 811, 2724, 602, 936, 707, 10715, 269, 1809, 1004, 1869, 798, 3388, 789, 666, 547, 7118, 1256, 811, 267, 17542, 543, 17542, 269, 1403, 713, 8589, 10626, 1523, 1185, 1022, 2495, 267, 982, 4627, 2929, 543, 5479, 320, 2231, 1131, 1175, 3247, 3843, 547, 7118, 1022, 811, 2724, 267, 1317, 693, 602, 1377, 267, 3606, 2724, 814, 11613, 2608, 14706, 265, 10626, 269, 1411, 666, 1406, 1256, 6108, 621, 269, 8616, 789, 1832, 3843, 269, 6184, 2033, 6067, 9037, 5479, 18311, 535, 265, 1188, 525, 899, 519, 918, 5255, 779, 6108, 741, 1169, 24971, 4090, 3843, 547, 1118, 2386, 602, 789, 1810, 1406, 1152, 723, 2473, 5479, 9489, 267, 855, 2473, 269, 280, 5479, 9489, 269, 898, 666, 1406, 581, 1317, 789, 2503, 930, 8589, 3606, 10626, 689, 519, 3063, 476, 271, 269, 280, 5479, 269, 13298, 267, 621, 779, 1317, 1480, 7919, 616, 8013, 3993, 325, 265, 1188, 619, 945, 786, 5884, 547, 968, 18566, 892, 824, 1004, 563, 19751, 476, 2767, 267, 476, 1001, 272, 693, 476, 276, 281, 4962, 993, 454, 300, 2292, 3884, 1406, 519, 1152, 3364, 538, 1004, 779, 10626, 3252, 269, 6145, 649, 1767, 538, 513, 3105, 6085, 267, 1082, 1004, 693, 891, 1164, 4747, 2157, 616, 2324, 585, 513, 2601, 16310, 1175, 2724, 269, 674, 877, 267, 1379, 267, 1317, 789, 2648, 14912, 3092, 563, 1432, 8589, 10626, 568, 6031, 568, 602, 693, 930, 1448, 621, 3884, 1406, 519, 3063, 13362, 12236, 602, 779, 6117, 11570, 269, 898, 814, 547, 581, 519, 3063, 5479, 9489, 269, 2107, 1945, 3116, 269, 12540, 1400, 10626, 3085, 1406, 1831, 4625, 6366, 267, 543, 621, 2760, 19527, 1524, 630, 9767, 666, 2141, 2285, 2724, 2476, 264, 621, 1175, 1797, 602, 596, 991, 811, 540, 621, 547, 1205, 519, 1482, 1198, 596, 3893, 609, 1447, 540, 621, 950, 596, 941, 4057, 563, 19751, 476, 4029, 267, 476, 1001, 272, 693, 476, 274, 281, 7367, 993, 454, 314, 2507, 316, 855, 594, 899, 519, 3135, 267, 865, 594, 3769, 621, 11053, 31320, 301, 545, 1961, 689, 12832, 1961, 543, 7395, 27932, 281, 6182, 17056, 681, 3518, 13530, 6799, 12540, 1400, 3454, 3928, 281, 1946, 789, 1118, 2631, 267, 543, 3081, 267, 968, 17456, 832, 12832, 1961, 543, 7395, 27932, 2491, 875, 32033, 8589, 10626, 1797, 602, 20965, 21776, 476, 272, 267, 476, 1001, 272, 693, 476, 277, 281, 4510, 10681, 454, 2108, 297, 984, 9376, 892, 2443, 945, 6785, 972, 729, 513, 2012, 585, 621, 286, 594, 2731, 2648, 713, 5816, 543, 707, 9846, 3407, 8292, 936, 693, 5192, 6762, 20405, 569, 269, 7490, 1832, 519, 1434, 1344, 4947, 563, 21776, 476, 272, 267, 476, 1001, 272, 693, 476, 277, 281, 7367, 10681, 454, 288, 2346, 267, 649, 2461, 1025, 5241, 563, 21776, 476, 278, 267, 476, 1001, 272, 693, 476, 279, 281, 5655, 993, 454, 7712, 519, 6161, 4667, 547, 581, 519, 14619, 540, 3454, 3928, 5310, 519, 3390, 12582, 1406, 581, 606, 4747, 3454, 693, 782, 267, 855, 2864, 513, 4616, 3454, 269, 630, 8253, 602, 594, 2479, 2503, 1022, 3454, 547, 5963, 14897, 1483, 12264, 1040, 769, 1082, 2829, 1426, 543, 7802, 616, 2907, 23614, 689, 6455, 3454, 630, 663, 952, 789, 5749, 1406, 267, 789, 4440, 1058, 581, 1070, 865, 602, 14014, 930, 540, 519, 2596, 29476, 540, 1272, 689, 21259, 267, 3976, 7863, 2539, 4747, 3885, 269, 2334, 1259, 1004, 723, 811, 1463, 1852, 936, 741, 21259, 630, 514, 602, 519, 811, 596, 8532, 267, 519, 811, 596, 2628, 538, 9204, 1040, 13575, 6340, 267, 519, 14547, 616, 2484, 2362, 6800, 982, 519, 4057, 267, 543, 952, 2901, 1895, 6499, 547, 1832, 811, 610, 1447, 540, 741, 2724, 789, 8532, 9935, 269, 901, 849, 968, 516, 2072, 892, 9806, 267, 865, 547, 3717, 267, 543, 4892, 2648, 741, 8631, 865, 594, 1810, 1406, 1294, 513, 1483, 1981, 540, 7382, 532, 519, 4346, 676, 4946, 513, 3454, 602, 1522, 27985, 25339, 7836, 269, 9796, 2651, 17429, 2388, 540, 4747, 3454, 616, 14845, 547, 1082, 1004, 1317, 789, 1810, 1406, 2731, 2479, 1294, 602, 2724, 630, 719, 540, 3135, 267, 856, 540, 2247, 1040, 594, 1589, 8369, 1131, 581, 3833, 1114, 952, 649, 1185, 547, 2628, 513, 10865, 610, 5993, 3454, 3915, 269, 630, 16485, 4896, 945, 17188, 10116, 569, 9204, 827, 602, 4743, 1040, 901, 1131, 849, 14458, 519, 1062, 269, 3143, 17429, 2388, 267, 1100, 2272, 1218, 2877, 267, 596, 1205, 3454, 539, 1759, 593, 1018, 596, 6718, 543, 8532, 269, 901, 1131, 9004, 519, 5413, 547, 1346, 945, 666, 6488, 547, 2362, 1434, 2272, 1218, 547, 1265, 873, 21372, 17429, 2388, 269, 2334, 1373, 1767, 267, 15069, 2272, 1218, 1131, 1869, 581, 2556, 1317, 540, 782, 519, 824, 5686, 540, 9204, 602, 2291, 267, 3226, 585, 4213, 269, 630, 1103, 519, 4690, 540, 2407, 23930, 267, 594, 8057, 909, 538, 513, 5580, 1647, 1362, 1920, 543, 1247, 594, 2141, 16545, 602, 1250, 9393, 779, 4747, 1500, 721, 2539, 1647, 1362, 267, 15151, 519, 2229, 1281, 711, 269, 1284, 616, 2808, 1970, 4747, 543, 1223, 4440, 20618, 585, 3908, 6351, 952, 649, 8359, 547, 4019, 269, 1809, 2094, 649, 4383, 547, 2661, 3274, 543, 2628, 938, 12014, 594, 4782, 547, 4734, 602, 2724, 538, 519, 936, 21002, 2989, 1062, 585, 1346, 945, 616, 7184, 10010, 2094, 607, 1970, 13867, 2582, 11299, 267, 519, 32014, 3092, 269, 594, 6557, 9090, 711, 10404, 1944, 1346, 945, 7048, 593, 1346, 2229, 2533, 282, 594, 6557, 1175, 7713, 1250, 1378, 3375, 4700, 2755, 594, 13948, 13842, 519, 2856, 540, 9878, 513, 476, 736, 260, 266, 6455, 3454, 593, 1875, 16250, 947, 885, 267, 594, 4782, 602, 547, 519, 476, 1428, 610, 476, 736, 260, 4947, 856, 540, 1169, 2628, 13765, 269, 23010, 267, 594, 1205, 930, 540, 621, 1394, 693, 519, 1439, 540, 519, 1032, 267, 855, 594, 8910, 2864, 581, 8380, 621, 547, 960, 1282, 519, 1032, 585, 1919, 649, 991, 630, 3697, 9878, 1055, 2875, 10211, 7963, 267, 2810, 938, 10865, 17365, 6578, 543, 1818, 2386, 1250, 3395, 22525, 814, 10887, 602, 3514, 264, 982, 7996, 585, 519, 2462, 2638, 693, 519, 1439, 540, 519, 1032, 563, 21776, 476, 278, 267, 476, 1001, 272, 693, 476, 1556, 281, 1839, 993, 454, 288, 4616, 3454, 568, 1454, 8338, 538, 2474, 540, 14619, 1759, 593, 10626, 982, 1256, 513, 6366, 2389, 1314, 1131, 581, 269, 634, 4057, 6108, 3592, 782, 630, 1911, 8472, 540, 741, 4747, 593, 2596, 29476, 267, 519, 3638, 6108, 1454, 1447, 538, 2474, 540, 2600, 540, 741, 4747, 269, 1924, 513, 4616, 3454, 568, 1454, 811, 1036, 4809, 982, 606, 4747, 3454, 269, 634, 3638, 786, 2628, 513, 4130, 2600, 540, 741, 4747, 538, 4616, 9204, 982, 519, 4057, 267, 1256, 1498, 519, 3638, 1205, 1447, 771, 583, 1006, 689, 1142, 13362, 540, 3454, 269, 8786, 267, 519, 3638, 786, 6108, 811, 9489, 267, 855, 602, 779, 1152, 1317, 789, 723, 811, 9489, 547, 6108, 267, 621, 568, 4010, 519, 1482, 4661, 609, 519, 6366, 3454, 267, 855, 1256, 8338, 538, 2474, 540, 8589, 10626, 3604, 563, 12234, 267, 10686, 1227, 4616, 9204, 811, 2047, 6175, 7836, 982, 4747, 9204, 798, 1700, 1004, 945, 666, 6108, 1447, 950, 519, 6529, 518, 1942, 568, 2362, 269, 1924, 621, 9292, 1206, 1004, 1034, 945, 723, 519, 2547, 24787, 543, 14927, 839, 519, 4346, 563, 4517, 621, 1131, 581, 513, 646, 1188, 540, 513, 2603, 811, 982, 476, 736, 260, 6455, 3454, 547, 1118, 909, 3604, 538, 4747, 3454, 269, 5457, 602, 1034, 2539, 2157, 540, 2229, 616, 2907, 693, 9625, 279, 260, 6455, 3454, 547, 2508, 741, 7836, 563, 21776, 476, 279, 267, 476, 1001, 272, 693, 476, 276, 281, 7918, 10681, 454, 5371, 1961, 663, 332, 12000, 773, 267, 594, 1131, 2648, 547, 1294, 1018, 596, 723, 547, 2161, 827, 519, 9204, 649, 2628, 585, 968, 550, 1856, 906, 1848, 5221, 1256, 1004, 1932, 13264, 547, 28297, 4747, 9204, 2628, 585, 4317, 8232, 543, 24310, 269, 630, 4517, 4317, 8232, 1341, 24310, 1341, 8878, 3548, 909, 267, 1018, 267, 476, 3583, 260, 540, 782, 5313, 7836, 24047, 1656, 616, 519, 3928, 585, 4317, 8232, 543, 24310, 711, 6366, 286, 6904, 2306, 873, 1036, 4809, 267, 855, 6148, 602, 568, 811, 968, 325, 1515, 892, 2094, 6148, 13264, 1004, 7048, 811, 8185, 593, 891, 3292, 3379, 547, 3638, 1004, 888, 296, 993, 835, 540, 1346, 856, 11502, 945, 14659, 4892, 1205, 513, 9522, 540, 1871, 585, 741, 3454, 9489, 267, 8589, 3928, 1058, 979, 909 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1237, 1407, 267, 519, 6305, 14012, 269, 1323, 8343, 5692, 540, 519, 8433, 585, 14891, 30543, 543, 5274, 7126, 630, 7495, 296, 16281, 264, 540, 519, 9257, 585, 8232, 543, 29046, 538, 2342, 7150, 602, 519, 4864, 476, 1789, 25931, 12836, 941, 2949, 12001, 543, 3608, 267, 855, 12006, 602, 519, 15194, 5428, 6591, 606, 3768, 826, 5413, 998, 21568, 540, 5604, 543, 1533, 2200, 543, 8789, 2923, 3795, 267, 799, 14944, 1441, 519, 2298, 540, 1344, 2139, 547, 17037, 269, 6660, 334, 30622, 4157, 534, 990, 545, 267, 7022, 540, 519, 14891, 9549, 540, 4317, 1235, 729, 11221, 7022, 538, 476, 1001, 279, 609, 5176, 476, 7918, 2600, 540, 519, 8917, 538, 519, 1101, 5180, 585, 1010, 2034, 2165, 607, 7022, 269, 1261, 1185, 2907, 6039, 3670, 2474, 607, 6305, 14012, 269, 9866, 21665, 689, 744, 14888, 16281, 267, 519, 3864, 12057, 267, 543, 519, 7027, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 30999, 1575, 1049, 2657, 543, 8881, 257, 607, 851, 540, 834, 303, 27773, 13316, 1315, 8534, 1299, 11633, 9534, 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, 1262, 307, 583, 3645, 281, 13555, 532, 772, 828, 661, 1846, 5245, 910, 589, 5153, 8386, 28157, 6651, 4373, 1262, 7072, 12533, 8702, 547, 713, 3102, 3391, 593, 32296, 772, 828, 661, 1846, 5245, 269, 901, 5850, 568, 2966, 585, 2043, 609, 2370, 547, 1100, 1620, 540, 519, 2413, 1158, 543, 1480, 4205, 269, 1284, 786, 3802, 596, 998, 1169, 1900, 267, 7713, 1142, 2962, 538, 22111, 1469, 267, 865, 596, 1745, 8746, 543, 5423, 950, 8757, 856, 547, 772, 828, 661, 1846, 5245, 780, 1262, 27609, 566, 630, 6524, 1411, 10670, 264, 12533, 272, 269, 2878, 8340, 513, 15822, 6611, 4995, 10576, 513, 9602, 267, 6899, 1858, 1141, 596, 666, 1694, 610, 1796, 1510, 19240, 269, 3550, 1434, 8654, 543, 8766, 6846, 2157, 563, 273, 269, 2878, 294, 1430, 12708, 27294, 1262, 912, 453, 265, 589, 3926, 5827, 540, 17034, 519, 4950, 630, 324, 3052, 1421, 16335, 267, 16979, 267, 2780, 994, 453, 265, 1323, 3742, 4950, 4276, 454, 453, 265, 2659, 772, 828, 661, 1846, 2272, 21189, 22754, 630, 604, 10858, 2020, 1262, 3721, 476, 272, 281, 7457, 532, 519, 5769, 4373, 272, 269, 2878, 299, 11229, 707, 27620, 4995, 4855, 519, 3926, 596, 10356, 4505, 630, 8243, 691, 7483, 267, 16979, 267, 610, 2780, 1040, 15579, 621, 16119, 609, 1312, 3946, 267, 1818, 2386, 711, 547, 5905, 1022, 6213, 2127, 602, 1522, 2014, 23139, 3527, 563, 273, 269, 2878, 31282, 2201, 2659, 27620, 4995, 4964, 519, 1379, 7735, 2394, 519, 5496, 8279, 909, 269, 27016, 3461, 569, 607, 519, 3926, 25192, 909, 563, 274, 269, 2878, 21010, 547, 15261, 19712, 4995, 6733, 585, 2139, 12616, 5121, 7404, 269, 8564, 835, 689, 519, 1592, 676, 26378, 610, 14467, 593, 922, 2012, 269, 9373, 519, 10957, 952, 19430, 563, 275, 269, 2878, 15411, 606, 5769, 645, 4900, 518, 4995, 24135, 610, 4945, 593, 606, 12835, 8204, 513, 1357, 11422, 630, 324, 3052, 1421, 5616, 24904, 267, 6380, 926, 267, 20787, 8759, 32288, 2135, 6393, 1262, 3721, 476, 273, 281, 19484, 547, 519, 772, 828, 661, 1846, 19534, 4373, 272, 269, 2878, 13911, 519, 15745, 4995, 4635, 707, 13691, 610, 5905, 31653, 267, 1826, 1496, 4178, 269, 889, 699, 1846, 2593, 270, 879, 28488, 10674, 2517, 4178, 269, 889, 699, 1846, 2593, 270, 879, 264, 883, 519, 2232, 3046, 693, 519, 1283, 540, 519, 11422, 6885, 563, 273, 269, 2878, 18208, 9373, 4995, 24135, 519, 834, 11767, 257, 1883, 593, 707, 13691, 610, 7148, 519, 834, 7883, 257, 15561, 593, 707, 5905, 31653, 780, 1262, 3721, 476, 274, 281, 8298, 3101, 769, 630, 18893, 1308, 21143, 2252, 596, 723, 606, 4540, 772, 828, 661, 1846, 2272, 1384, 272, 269, 2878, 307, 777, 270, 5141, 1731, 1412, 19868, 769, 262, 4995, 700, 11229, 519, 834, 19868, 769, 257, 7735, 2356, 1336, 693, 519, 1283, 1318, 7944, 540, 519, 3896, 563, 273, 269, 2878, 11767, 19478, 543, 10426, 5320, 4995, 7392, 707, 10805, 4757, 2232, 543, 7222, 10957, 1210, 707, 13691, 610, 5905, 31653, 563, 274, 269, 2878, 8138, 2466, 8298, 514, 28946, 1113, 338, 4995, 8437, 610, 7148, 519, 834, 19868, 514, 257, 7735, 780, 1262, 3721, 476, 275, 281, 15531, 519, 6435, 8791, 4373, 272, 269, 2878, 9928, 2651, 13560, 4995, 2422, 707, 10856, 8868, 610, 2220, 6559, 1524, 593, 707, 5905, 31653, 547, 6330, 2509, 519, 5377, 540, 519, 2546, 563, 273, 269, 2878, 12812, 20081, 777, 1412, 20055, 262, 4995, 700, 11229, 519, 834, 20055, 257, 3095, 2356, 13883, 2282, 519, 3723, 518, 3296, 540, 519, 2985, 563, 274, 269, 2878, 289, 12864, 3414, 11762, 4995, 2480, 2651, 998, 519, 948, 3584, 7396, 267, 10478, 585, 4143, 6810, 1644, 547, 707, 14374, 780, 1262, 3721, 476, 276, 281, 4427, 2466, 1154, 513, 8081, 32369, 4373, 272, 269, 2878, 15675, 31999, 13445, 4995, 7994, 519, 1888, 14191, 547, 707, 3390, 689, 519, 3177, 6688, 563, 273, 269, 2878, 293, 650, 4934, 519, 4813, 4995, 13159, 519, 1489, 7662, 1106, 609, 4977, 3877, 827, 707, 6161, 267, 1519, 912, 453, 266, 13517, 540, 519, 3390, 454, 453, 266, 11352, 1297, 630, 604, 10858, 994, 453, 266, 7102, 3606, 4143, 1344, 454, 274, 269, 2878, 308, 22744, 5900, 778, 906, 630, 18893, 1308, 264, 4995, 1403, 2556, 267, 8936, 13819, 32718, 610, 6054, 5885, 707, 3409, 563, 275, 269, 2878, 18800, 543, 4427, 2466, 4995, 28392, 2689, 707, 19169, 1354, 10296, 519, 834, 306, 754, 257, 610, 834, 8138, 2466, 257, 7735, 780, 1262, 21446, 894, 6396, 281, 25439, 8081, 4373, 272, 269, 2878, 291, 658, 519, 7089, 4995, 11910, 1341, 8618, 476, 5197, 271, 476, 279, 4375, 476, 280, 8287, 630, 339, 3326, 6954, 1369, 5245, 1916, 273, 269, 2878, 310, 7159, 585, 8382, 4995, 3816, 664, 3461, 1247, 7996, 585, 513, 6075, 3028, 11347, 547, 2626, 563, 274, 269, 2878, 23737, 2659, 17136, 4995, 22682, 24808, 707, 1966, 610, 2243, 547, 519, 11347, 563, 275, 269, 2878, 10287, 27491, 4995, 19415, 18906, 1947, 543, 1246, 741, 5583, 547, 8207, 707, 13214, 780, 1262, 6962, 12533, 23558, 256, 1411, 723, 6707, 30409, 772, 828, 661, 1846, 5245, 3842, 741, 2228, 3760, 610, 6049, 1489, 269, 5457, 547, 3251, 9350, 267, 581, 2312, 827, 707, 4145, 267, 543, 1683, 6190, 3877, 547, 2327, 3608, 6351, 780, 1262, 21206, 9669, 4373, 265, 2142, 16614, 543, 1330, 974, 748, 1282, 707, 5872, 609, 6075, 1489, 13222, 563, 265, 5901, 5638, 540, 707, 2792, 267, 971, 607, 1931, 2338, 267, 7389, 267, 543, 2053, 267, 585, 2104, 4704, 563, 265, 14190, 10257, 942, 585, 6114, 267, 6236, 2188, 899, 942, 10851, 543, 8445, 3108, 780, 3528, 1739, 891, 3268, 267, 596, 1058, 1631, 581, 2111, 547, 18390, 3346, 772, 828, 661, 1846, 5245, 8164, 2877, 269, 6153, 9939, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 23086, 772, 828, 661, 1846, 5245, 257, 538, 519, 2511, 540, 14392, 585, 2576, 945, 814, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 782, 519, 2168, 543, 1480, 4205, 3238, 267, 1256, 519, 1034, 2596, 543, 6654, 3283, 267, 14322, 519, 5467, 2115, 713, 1344, 1100, 2339, 875, 2596, 621, 666, 3100, 269, 0, 3848, 476, 272, 281, 19889, 6363, 7037, 10049, 3163, 692, 7072, 912, 20756, 972, 256, 5620, 596, 2479, 2219, 827, 1018, 2326, 1919, 1472, 721, 616, 1500, 540, 286, 3245, 519, 9660, 649, 5957, 547, 519, 5656, 649, 2661, 538, 267, 3388, 568, 1500, 909, 540, 1114, 5686, 540, 2326, 269, 3767, 267, 4952, 952, 891, 2326, 1223, 581, 1500, 538, 2081, 602, 1810, 1405, 2800, 938, 4541, 269, 2334, 781, 1141, 10357, 7888, 2326, 2257, 2501, 538, 256, 901, 3184, 786, 6338, 596, 547, 519, 1158, 540, 10357, 7888, 2326, 543, 1397, 596, 875, 789, 666, 948, 2149, 938, 1604, 780, 4089, 476, 272, 281, 1548, 616, 19889, 6363, 7037, 10049, 2496, 5331, 2679, 707, 1378, 11442, 1286, 856, 540, 21312, 10833, 267, 5068, 14569, 267, 543, 13811, 11746, 269, 1411, 1131, 581, 1210, 4948, 3688, 602, 949, 6382, 1439, 909, 538, 26071, 543, 7432, 873, 883, 1945, 1187, 543, 3730, 269, 6684, 267, 3744, 543, 8030, 1711, 10357, 7888, 2326, 676, 4466, 1007, 3096, 585, 3653, 2472, 610, 3384, 5499, 2553, 547, 5478, 2326, 1247, 10893, 5533, 543, 4199, 946, 269, 1452, 2326, 616, 2966, 547, 2569, 2942, 5222, 593, 519, 1604, 1282, 741, 3003, 1272, 4783, 910, 689, 6151, 1570, 10868, 547, 12871, 780, 4131, 781, 1491, 513, 1413, 693, 930, 1483, 3734, 1806, 540, 10357, 7888, 2326, 1384, 265, 12713, 325, 27961, 281, 9894, 596, 917, 602, 6995, 12406, 666, 581, 5828, 883, 17371, 286, 12207, 4362, 602, 950, 6404, 609, 824, 5214, 7135, 267, 6995, 12406, 1106, 513, 2178, 2943, 17426, 1570, 1572, 6915, 325, 27961, 269, 901, 1570, 814, 5140, 13471, 3601, 543, 666, 5372, 19386, 2861, 9087, 4461, 4122, 1336, 538, 11183, 2326, 563, 265, 1234, 7094, 539, 21311, 700, 3784, 281, 1635, 27054, 3429, 2025, 5068, 11149, 899, 1216, 14569, 543, 5144, 795, 13903, 267, 9755, 666, 2490, 873, 883, 14463, 29421, 5078, 585, 632, 9535, 267, 535, 9760, 267, 543, 1256, 19209, 3937, 269, 4635, 13381, 5068, 6971, 3653, 2366, 547, 26071, 543, 17990, 4054, 2336, 265, 3733, 4897, 1756, 1290, 1842, 2572, 281, 674, 2426, 328, 630, 13433, 267, 17228, 14386, 1332, 8142, 3697, 3889, 1572, 1250, 4897, 807, 602, 12622, 1927, 6694, 3653, 899, 4718, 706, 560, 267, 12450, 267, 610, 8970, 26106, 802, 269, 1879, 12015, 267, 891, 1250, 4897, 1756, 29322, 1831, 19756, 2614, 547, 4020, 11647, 267, 3774, 8440, 267, 543, 13471, 269, 9578, 267, 789, 31693, 6923, 950, 23987, 780, 12244, 22830, 281, 7420, 3054, 547, 2445, 1455, 7622, 3653, 3688, 936, 513, 3018, 543, 16540, 3860, 2081, 547, 2981, 873, 883, 6198, 3615, 269, 9523, 707, 13144, 609, 2828, 543, 1920, 543, 2491, 1946, 556, 6748, 2326, 2337, 2149, 519, 1604, 780, 4089, 476, 273, 281, 1215, 3657, 19889, 6363, 7037, 10049, 23095, 2496, 17730, 10357, 7888, 2326, 3322, 1079, 3119, 4485, 281, 1210, 4264, 2200, 543, 5355, 4540, 3157, 269, 12655, 2200, 3277, 547, 2067, 6878, 19122, 19100, 865, 602, 2104, 5481, 666, 1869, 4324, 689, 873, 269, 1280, 1383, 267, 19348, 9428, 1454, 5488, 982, 2757, 2182, 6229, 4054, 543, 3085, 1405, 2154, 13851, 610, 18168, 267, 1818, 621, 606, 10694, 4244, 585, 32466, 543, 11647, 780, 5194, 1259, 547, 1020, 10357, 7888, 2326, 568, 676, 7393, 1699, 4853, 2853, 547, 7413, 2825, 1764, 269, 2290, 971, 1505, 568, 1634, 607, 3039, 7998, 267, 799, 6212, 593, 8888, 10930, 30177, 267, 27857, 267, 543, 5114, 2175, 602, 5352, 1447, 6757, 676, 335, 20094, 543, 8532, 7864, 1875, 516, 2908, 762, 2200, 780, 7078, 281, 5994, 1373, 513, 10196, 3843, 547, 1265, 513, 22928, 4244, 547, 3132, 14398, 1161, 630, 6921, 826, 1040, 12465, 1350, 1132, 1419, 2270, 5739, 19979, 5214, 7135, 630, 309, 31237, 264, 602, 18493, 622, 3362, 543, 3542, 1393, 11255, 2011, 2298, 269, 1677, 2232, 713, 3390, 267, 3173, 2919, 513, 2030, 23402, 23287, 1759, 593, 669, 527, 657, 534, 267, 513, 7623, 6508, 689, 26029, 16115, 269, 3502, 1152, 1281, 669, 527, 657, 534, 2861, 15441, 1685, 1175, 607, 1134, 607, 922, 10991, 13413, 267, 855, 621, 849, 10920, 5099, 6923, 267, 4227, 3653, 13250, 780, 12244, 22830, 281, 18430, 606, 4603, 9236, 519, 4222, 540, 1114, 14398, 1161, 2139, 693, 1753, 630, 324, 3052, 1421, 3043, 4739, 15441, 267, 3905, 15441, 7784, 267, 2706, 15441, 1040, 9181, 741, 1761, 2825, 5222, 543, 2263, 8925, 899, 669, 527, 657, 534, 2861, 15441, 269, 11559, 15032, 547, 2671, 1022, 3606, 1344, 827, 10357, 7888, 14398, 1161, 789, 1522, 917, 780, 6962, 912, 1103, 713, 3184, 267, 649, 4121, 827 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 12709, 24636, 11067, 2023, 519, 12316, 2112, 11067, 2023, 781, 12316, 2112, 12959, 18459, 30479, 8970, 13665, 529, 609, 21517, 519, 4574, 540, 24636, 11067, 2023, 269, 11910, 1297, 281, 8020, 2000, 5819, 626, 535, 322, 561, 332, 337, 524, 277, 322, 275, 335, 274, 2433, 7121, 281, 4108, 281, 17082, 281, 8970, 13665, 529, 267, 30479, 267, 476, 272, 560, 2261, 638, 529, 8970, 13665, 529, 267, 476, 15876, 279, 268, 5197, 276, 6609, 269, 8176, 8970, 13665, 529, 8970, 13665, 529, 267, 476, 272, 560, 2261, 638, 612, 630, 322, 20110, 337, 333, 342, 7564, 331, 21485, 384, 511, 338, 1070, 476, 15876, 279, 1700, 5197, 276, 267, 7005, 2489, 543, 2829, 2006, 646, 729, 20827, 606, 1671, 793, 538, 519, 21099, 7952, 538, 476, 11260, 277, 269, 3367, 713, 7819, 1686, 1557, 543, 936, 476, 6434, 267, 1822, 824, 1382, 6054, 519, 4098, 910, 30479, 8970, 13665, 529, 519, 4098, 593, 632, 4895, 476, 4029, 267, 476, 15876, 279, 267, 30479, 8970, 13665, 529, 269, 17421, 1557, 19052, 22988, 538, 519, 22467, 7992, 519, 22071, 540, 519, 21099, 2489, 30479, 8970, 13665, 529, 676, 5910, 2056, 547, 581, 513, 10121, 626, 10553, 838, 3539, 563, 3891, 729, 519, 7800, 652, 5067, 540, 30479, 8970, 13665, 529, 267, 476, 276, 628, 3046, 517, 8970, 13665, 529, 1010, 3993, 267, 1714, 9626, 267, 729, 519, 8250, 540, 30479, 10034, 9150, 519, 8970, 13665, 529, 4574, 269, 769, 27095, 5324, 540, 476, 9965, 272, 267, 18459, 30479, 8970, 13665, 529, 267, 538, 13287, 540, 562, 987, 3570, 601, 3039, 324, 267, 7722, 538, 513, 8325, 4339, 693, 10800, 534, 779, 585, 323, 593, 519, 524, 1092, 342, 9346, 5757, 269, 10749, 538, 4108, 12092, 676, 30479, 8970, 13665, 529, 524, 1127, 2284, 4358, 693, 1269, 13136, 271, 3594, 538, 4108, 12092, 814, 476, 276, 2139, 21820, 547, 4444, 693, 620, 2320, 529, 269, 6733, 338, 693, 519, 5718, 5759, 540, 21099, 4831, 23949, 11163, 2489, 267, 18459, 30479, 540, 8970, 13665, 529, 1282, 519, 721, 12316, 2112, 607, 3379, 547, 1459, 1554, 269, 25873, 543, 1224, 3594, 538, 4108, 12092, 676, 30479, 8970, 13665, 529, 524, 1127, 2284, 3594, 538, 4108, 12092, 676, 30479, 8970, 13665, 529, 524, 1127, 2284, 1082, 1004, 616, 3843, 547, 581, 563, 28846, 8970, 13665, 529, 5013, 281, 30479, 8970, 13665, 529, 267, 476, 272, 560, 2261, 638, 612, 8970, 13665, 529, 630, 15876, 279, 268, 5197, 276, 1070, 729, 513, 21099, 17199, 543, 2829, 2006, 4352, 15422, 1655, 1317, 540, 1010, 269, 3367, 713, 1557, 543, 936, 476, 272, 267, 4335, 267, 1822, 1866, 899, 621, 1631, 1810, 1405, 4413, 707, 4960, 547, 7118, 1732, 9344, 543, 581, 513, 1732, 5856, 563, 13425, 856, 938, 1283, 1863, 3594, 593, 8970, 13665, 529, 547, 948, 596, 2328, 707, 1378, 1557, 269, 2073, 30479, 8970, 13665, 529, 267, 543, 476, 1014, 26453, 30639, 519, 8970, 13665, 529, 4574, 15311, 519, 11044, 540, 476, 9965, 271, 543, 476, 9965, 272, 538, 519, 7013, 16222, 540, 519, 7819, 12316, 2112, 2019, 476, 272, 281, 1496, 269, 8176, 8970, 13665, 529, 630, 15876, 279, 1700, 5197, 276, 264, 729, 513, 3056, 21099, 2489, 1282, 519, 7819, 4838, 1498, 646, 568, 1655, 15422, 585, 1010, 21704, 693, 26294, 26165, 538, 476, 9965, 272, 563, 14197, 18459, 30479, 8970, 13665, 529, 2366, 11067, 2023, 513, 4484, 6998, 585, 2474, 540, 21704, 593, 12354, 3426, 476, 1704, 267, 476, 9965, 272, 267, 799, 11067, 2023, 17019, 519, 1482, 1554, 630, 323, 17805, 835, 269, 634, 3783, 8970, 13665, 529, 1557, 519, 3783, 8970, 13665, 529, 30479, 8970, 13665, 529, 267, 1634, 607, 519, 3783, 8970, 13665, 529, 267, 1185, 2944, 513, 2603, 538, 1010, 1272, 4352, 646, 1185, 5747, 693, 519, 2085, 540, 476, 5780, 563, 276, 519, 7819, 4838, 3594, 543, 5022, 2429, 519, 4832, 540, 476, 10082, 274, 538, 519, 21099, 7013, 7952, 896, 519, 4971, 540, 1024, 30479, 8970, 13665, 529, 269, 3557, 540, 519, 6288, 1867, 585, 1368, 559, 5112, 1330, 628, 1787, 3084, 4108, 6288, 4199, 5618, 1107, 11601, 540, 519, 9102, 18459, 8970, 13665, 529, 4574, 269, 634, 562, 809, 1433, 630, 324, 1504, 264, 540, 519, 3594, 538, 2413, 4108, 12092, 676, 30479, 8970, 13665, 529, 524, 1127, 2284, 693, 3046, 5886, 1299, 15626, 1863, 11288, 593, 1269, 1839, 610, 811, 563, 763, 4098, 593, 632, 4895, 476, 4029, 267, 476, 15876, 279, 267, 30479, 8970, 13665, 529, 729, 4535, 519, 2034, 3783, 8970, 13665, 529, 267, 2094, 1010, 4651, 267, 519, 11359, 3046, 517, 8970, 13665, 529, 267, 1185, 1044, 30039, 607, 513, 269, 634, 8970, 13665, 529, 4574, 2433, 519, 11044, 540, 476, 9965, 271, 543, 476, 9965, 272, 538, 519, 7013, 16222, 540, 519, 7819, 12316, 2112, 1315, 11231, 543, 12995, 676, 476, 1014, 26453, 30639, 269, 6115, 4574, 2140, 689, 24636, 11067, 2023, 547, 30479, 8970, 13665, 529, 267, 476, 2767, 12354, 3426, 476, 9965, 272, 2278, 11067, 2023, 267, 24636, 18579, 8970, 13665, 529, 267, 30479, 4266, 269, 4828, 281, 676, 519, 5162, 540, 476, 9965, 271, 267, 519, 9030, 6662, 540, 21099, 4640, 538, 13314, 729, 547, 20630, 519, 7013, 10125, 2094, 18459, 30479, 8970, 13665, 529, 269, 667, 764, 2632, 1026, 12460, 10461, 281, 524, 1127, 2284, 267, 30479, 8970, 13665, 529, 3594, 538, 2413, 4108, 12092, 3594, 2413, 543, 1714, 9626, 534, 269, 0, 25200, 281, 27285, 20540, 281, 27286, 1607, 1449, 5161, 540, 476, 276, 2110, 2626, 2055, 267, 476, 1015, 2110, 1557, 2055, 267, 543, 476, 272, 630, 1993, 476, 274, 264, 1557, 3584, 563, 14112, 8382, 5999, 454, 272, 269, 769, 3848, 476, 866, 267, 1018, 729, 519, 3043, 2551, 540, 6428, 529, 12064, 888, 273, 269, 1215, 1281, 10815, 532, 4766, 519, 5022, 602, 1352, 4607, 689, 1200, 3993, 888, 274, 269, 769, 3848, 476, 1626, 267, 799, 851, 540, 6480, 615, 543, 918, 4669, 781, 2777, 729, 14311, 6480, 615, 781, 888, 275, 269, 1548, 1281, 10815, 532, 4766, 607, 1776, 1106, 540, 883, 343, 1709, 11735, 689, 4568, 888, 276, 269, 1879, 1705, 10815, 532, 543, 7671, 6430, 547, 723, 1776, 1126, 888, 14112, 4828, 5999, 454, 272, 269, 14674, 10815, 532, 781, 13675, 883, 2648, 543, 15832, 607, 1352, 6257, 621, 538, 3848, 476, 1015, 563, 273, 269, 769, 3848, 476, 1321, 267, 875, 1281, 10815, 532, 4766, 1200, 1101, 5067, 267, 3627, 888, 274, 269, 4208, 1705, 10815, 532, 1463, 1200, 1445, 593, 519, 19797, 2093, 602, 1352, 729, 3384, 538, 713, 3184, 3079, 540, 2519, 593, 519, 2621, 540, 1200, 1272, 888, 275, 269, 1215, 1705, 3627, 2746, 547, 519, 4332, 540, 1010, 2370, 11078, 888, 276, 269, 769, 3848, 476, 1724, 267, 875, 1705, 10815, 532, 7787, 1125, 1200, 3375, 547, 4734, 7671, 543, 741, 1079, 1453, 888, 277, 269, 769, 3848, 476, 1428, 267, 1018, 2601, 1705, 10815, 532, 2285, 585, 15175, 1876, 10909, 888, 278, 269, 769, 3848, 476, 1240, 267, 1018, 6381, 15286, 10815, 532, 689, 3478, 1454, 1603, 2944, 888, 279, 269, 1548, 1705, 10815, 532, 8275, 950, 1352, 729, 8995, 609, 8899, 674, 1197, 543, 2366, 547, 519, 10239, 547, 9156, 888, 280, 269, 1215, 1705, 10815, 532, 4431, 547, 2810, 21379, 1952, 1465, 609, 1200, 29281, 543, 1753, 3510, 888, 1015, 269, 14674, 10815, 532, 781, 5114, 547, 519, 1439, 540, 2622, 2782, 4083, 563, 2237, 606, 1557, 585, 21450, 540, 519, 1739, 3584, 912, 13625, 13445, 476, 272, 454, 14532, 4249, 513, 1883, 1909, 538, 8108, 519, 1257, 540, 519, 26249, 269, 25826, 519, 2081, 538, 799, 10815, 532, 16941, 593, 267, 22281, 539, 267, 610, 13934, 1686, 538, 519, 1257, 269, 1215, 3844, 729, 1686, 538, 10815, 532, 781, 1620, 540, 1200, 1378, 1272, 286, 1215, 1898, 729, 10815, 532, 781, 1272, 538, 1200, 1620, 540, 1686, 286, 21518, 1346, 1079, 2609, 538, 2169, 878, 2406, 5532, 286, 1548, 1705, 10815, 532, 781, 26249, 3565, 547, 707, 1620, 540, 1686, 267, 1620, 540, 3140, 2621, 267, 610, 519, 1259, 538, 799, 1686, 568, 6592, 888, 13625, 13445, 476, 273, 454, 2750, 8533, 519, 1259, 538, 799, 10815, 532, 4843, 1200, 2078, 609, 1200, 3993, 269, 9894, 1352, 2463, 610, 26416, 1200, 3993, 286, 1548, 2269, 1441, 741, 2078, 286, 4208, 1705, 10815, 532, 781, 3993, 7106, 17311, 540, 10815, 532, 781, 5079, 286, 11086, 267, 875, 1705, 10815, 532, 2992, 593, 1200, 2078, 609, 1200, 3993, 888, 13625, 13445, 476, 274, 454, 31995, 909, 538, 1079, 3982, 4525, 540, 519, 3703, 7276, 267, 10815, 532, 4607, 513, 1360, 15982, 17855, 540, 5198, 1894, 538, 519, 3703, 11182, 1354, 519, 27072, 540, 519, 7276, 269, 21302, 519, 1259, 538, 799, 10815, 532, 14059, 5198, 543, 5198, 1894, 538, 1200, 26249, 269, 1215, 1705, 1352, 5581, 519, 2165, 267, 5198, 267, 1851, 519, 1004, 2713, 538, 30111, 543, 8828, 10910, 3941, 807, 693, 602, 942, 286, 1215, 1705, 519, 1114, 14797, 2170, 538, 8828, 10910, 3941, 807, 286, 1215, 1705, 10815, 532, 781, 1620, 540, 5198, 5635, 610, 4334, 609, 519, 8369, 540, 1346, 1472, 1200, 888, 1607, 3296, 3568, 476, 4817, 275, 1913, 454, 26140, 269, 476, 275, 3817, 693, 476, 4968, 1913, 829, 2985, 264, 0, 330, 841, 7699, 320, 476, 277, 7176, 14358, 454, 16274, 281, 4119, 476, 1704, 267, 1412, 6860, 3248, 15803, 281, 476, 275, 630, 271, 260, 700, 27419, 994, 20784, 300, 568, 8682, 4804, 21602, 269, 11289, 596, 585, 519, 2200, 269, 594, 786, 2638, 873, 856, 563, 6343, 568, 20793, 300, 888, 3080, 1259, 547, 1305, 909, 21941, 568, 547, 1376, 609, 519, 2816, 11673, 269, 3367, 2835, 676, 7917, 631, 4526, 593, 875, 547, 1305, 6859, 630, 11004, 616, 7270, 1932, 264, 543, 798, 20241, 269, 3571, 2835, 616, 2653, 547, 1224, 543, 711, 7199, 269, 6744, 609, 519, 8274, 540, 16711, 3823, 21941, 269, 4746, 267, 2638, 856, 891, 4609, 912, 296, 993, 711, 513, 5234, 19829, 267, 2705, 594, 993, 1572, 2390, 538, 1250, 4390, 607, 513, 4791, 4274, 547, 798, 5234, 1646, 267, 552, 3052, 269, 20793, 300, 267, 28671, 10526, 543, 865, 593, 269, 594, 1223, 946, 930, 18973, 689, 681, 301, 7855, 547, 713, 1875, 268, 14445, 1807, 593, 519, 1655, 1259, 547, 979, 827, 7829, 891, 7662, 269, 1215, 593, 3618, 798, 594, 979, 827, 4259, 21941, 888, 2467, 616, 865, 1082, 1919, 602, 649, 616, 1565, 827, 10447, 267, 1875, 27408, 8084, 5288, 693, 8084, 267, 19954, 309, 11487, 857, 565, 4345, 543, 765, 22689, 269, 898, 568, 606, 3078, 942, 547, 960, 538, 10447, 1416, 2359, 269, 2290, 540, 519, 7459, 602, 649, 896, 946, 267, 538, 1250, 6644, 267, 616, 519, 10447, 13122, 269, 4107, 2199, 1977, 25016, 4889, 725, 723, 513, 3786, 1141, 1453, 666, 1451, 827, 875, 547, 581, 513, 4819, 609, 10447, 267, 581, 609, 824, 3214, 602, 723, 10447, 543, 581, 1199, 1227, 24892, 269, 634, 1382, 6920, 602, 1453, 945, 4312, 1044, 547, 10447, 3786, 723, 1732, 4791, 543, 13345, 4093, 563, 26980, 782, 267, 594, 993, 606, 10447, 1416, 9614, 269, 594, 1491, 1416, 540, 2550, 543, 4218, 3433, 519, 1982, 269, 594, 993, 4749, 1572, 2390, 1317, 540, 1250, 4791, 6791, 547, 1412, 974, 778, 262, 10447, 269, 594, 723, 1044, 4280, 547, 4001, 11923, 267, 3715, 21941, 267, 798, 20793, 300, 267, 543, 4001, 13500, 543, 681, 301, 11679, 256, 3733, 9049, 301, 568, 538, 12016, 7245, 910, 865, 594, 993, 2921, 513, 12016, 19829, 3069, 1576, 267, 547, 23248, 1118, 803, 19579, 256, 594, 1413, 4464, 547, 1565, 689, 596, 454, 3849, 3200, 1047, 2060, 2974, 0, 28049, 5678, 7352, 566, 543, 7827, 454, 24868, 566, 543, 7827, 538, 5053, 2488, 1053, 609, 606, 3015, 4367, 547, 11287, 543, 1620, 1893, 1689, 269, 2060, 513, 1445, 593, 519, 1533, 540, 2413, 5053, 607, 621, 781, 9275, 2429, 519, 1158, 267, 1142, 3184, 2882, 4052, 2238, 1519, 5583, 593, 875, 547, 1020, 513, 1382, 1788, 269, 10801, 519, 1433, 1053, 786, 1451, 875, 547, 1020, 543, 14892, 513, 1353, 5059, 593, 1620, 1893, 8390, 267, 1893, 1689, 543, 1914, 565, 3907, 2524, 269, 589, 13959, 3896, 2488, 3606, 2200, 1519, 513, 14987, 262, 3391, 547, 11050, 2409, 538, 10409, 2079, 543, 513, 2039, 540, 1382, 2645, 543, 2404, 5528, 547, 4217, 538, 519, 5751, 543, 1382, 3785, 269, 1323, 14357, 781, 3391, 2488, 4388, 593, 875, 547, 4001, 1808, 2035, 2059, 609 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 11159, 5439, 941, 6394, 689, 1614, 9381, 10859, 10276, 743, 2216, 536, 904, 540, 3624, 267, 1775, 4318, 1421, 590, 836, 326, 537, 7345, 267, 4303, 320, 7345, 267, 543, 2494, 26820, 7345, 267, 1141, 1804, 4336, 2261, 22450, 941, 5645, 856, 2094, 519, 476, 2735, 271, 338, 269, 4400, 28443, 1584, 15971, 729, 1031, 547, 4983, 519, 8901, 543, 12119, 7648, 540, 9190, 2950, 269, 634, 2164, 8612, 602, 519, 8789, 18105, 320, 540, 1614, 536, 904, 941, 26287, 27627, 630, 4375, 269, 1240, 1700, 5325, 269, 2641, 15992, 645, 1461, 1355, 26347, 630, 280, 269, 11011, 1700, 866, 269, 1839, 15992, 543, 4643, 551, 3912, 322, 26347, 630, 278, 269, 1321, 1700, 1724, 269, 6434, 22103, 32085, 7648, 5129, 513, 3152, 1909, 538, 5935, 519, 9190, 2950, 982, 12119, 8390, 269, 634, 9190, 4763, 17523, 630, 2419, 7776, 272, 267, 623, 1408, 537, 779, 1256, 1145, 267, 543, 1744, 27553, 8862, 1329, 518, 4994, 264, 540, 590, 836, 326, 537, 7345, 941, 3648, 2539, 982, 1346, 540, 4303, 320, 7345, 543, 2494, 26820, 7345, 269, 1280, 12119, 8390, 267, 9190, 4763, 17523, 538, 5614, 941, 3648, 2539, 982, 602, 538, 15489, 269, 12866, 1883, 7723, 26908, 10362, 547, 4643, 551, 3912, 322, 26347, 267, 1325, 874, 777, 4710, 27627, 267, 543, 18729, 27627, 941, 4857, 538, 590, 836, 326, 537, 7345, 269, 18323, 267, 28634, 5214, 3327, 267, 9063, 267, 543, 24952, 941, 519, 1034, 1271, 2825, 2188, 5935, 519, 8901, 543, 12119, 7648, 540, 9190, 2950, 538, 519, 6594, 2127, 269, 634, 7039, 1734, 540, 4551, 267, 3226, 645, 1461, 1355, 26347, 267, 717, 2459, 777, 4710, 27627, 267, 543, 667, 3881, 777, 4710, 27627, 267, 941, 3648, 17047, 609, 519, 2261, 22450, 12454, 3114, 3601, 540, 519, 11159, 269, 1452, 2164, 8612, 602, 14021, 2261, 22450, 1223, 16578, 7096, 543, 3309, 5222, 593, 519, 9190, 2950, 267, 543, 4061, 12189, 741, 1909, 538, 7286, 5117, 269, 634, 4205, 1063, 2261, 22450, 543, 11159, 9190, 2950, 1058, 581, 2808, 538, 2543, 547, 2261, 22450, 2359, 543, 8876, 4390, 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 ]
[ 549, 26981, 553, 821, 6376, 539, 602, 563, 305, 864, 543, 23532, 640, 281, 5811, 540, 16520, 3718, 30094, 569, 808, 269, 10162, 778, 1621, 330, 880, 9085, 476, 10219, 7905, 281, 6754, 654, 2830, 345, 5147, 476, 736, 267, 476, 1001, 273, 17813, 543, 23532, 640, 281, 5811, 540, 16520, 3718, 269, 634, 17813, 543, 23532, 640, 4015, 267, 835, 540, 936, 17288, 5339, 10070, 593, 519, 11536, 13996, 267, 5161, 540, 4704, 1570, 267, 3594, 267, 543, 824, 1568, 5466, 2152, 540, 269, 3371, 649, 2015, 930, 540, 519, 25349, 18125, 540, 5198, 543, 14940, 267, 543, 875, 789, 616, 954, 342, 8576, 609, 824, 7516, 540, 1514, 32756, 269, 23532, 640, 5288, 17813, 15020, 1906, 540, 721, 8308, 4766, 519, 3017, 1063, 14940, 543, 5198, 267, 3274, 1317, 649, 4043, 547, 26686, 873, 883, 519, 1482, 269, 589, 5180, 1575, 540, 519, 5767, 3377, 543, 2079, 593, 6927, 540, 5198, 543, 14940, 538, 519, 2136, 2276, 267, 609, 2984, 689, 20444, 333, 25900, 2593, 543, 715, 6195, 5240, 267, 607, 1134, 607, 634, 23105, 563, 268, 23560, 17813, 476, 2641, 10749, 585, 519, 476, 2641, 560, 11416, 269, 11137, 269, 1548, 5198, 543, 14940, 616, 267, 875, 789, 960, 267, 543, 1946, 8236, 513, 1175, 2486, 3340, 721, 547, 1491, 2272, 540, 873, 563, 268, 10749, 910, 4102, 6538, 540, 2298, 3732, 3594, 543, 1382, 4574, 593, 17813, 1656, 23532, 640, 769, 5980, 563, 268, 16610, 540, 17813, 543, 23532, 640, 269, 476, 276, 9664, 476, 14338, 274, 9293, 2904, 476, 1001, 276, 269, 590, 8491, 3594, 16440, 707, 3594, 1934, 865, 596, 666, 12398, 873, 3533, 256, 11762, 538, 713, 1957, 563, 268, 17813, 4828, 568, 6140, 827, 1114, 6803, 885, 538, 519, 1158, 610, 513, 2197, 269, 898, 1223, 849, 581, 513, 1957, 593, 1480, 9740, 971, 607, 519, 2230, 5198, 563, 268, 17813, 543, 14940, 616, 1644, 267, 855, 3982, 269, 2290, 814, 547, 798, 609, 7350, 1247, 519, 824, 814, 547, 798, 609, 2528, 563, 268, 17813, 543, 23532, 640, 269, 7427, 519, 681, 7704, 3049, 585, 713, 2985, 281, 3163, 5130, 476, 275, 267, 476, 1001, 278, 269, 7324, 1164, 1153, 20650, 267, 1719, 538, 2257, 9775, 676, 5198, 267, 14940, 563, 17206, 540, 12590, 910, 2549, 615, 560, 10104, 17582, 287, 9331, 817, 2549, 615, 560, 19837, 31277, 19837, 31277, 543, 634, 4513, 476, 280, 268, 272, 268, 1001, 273, 10749, 593, 12124, 1975, 3863, 331, 267, 17813, 267, 543, 23532, 640, 269, 17813, 543, 23532, 640, 1557, 269, 8080, 8206, 31733, 748, 7232, 1087, 904, 2593, 568, 606, 4998, 1747, 585, 1346, 945, 1616, 547, 1205, 2189, 4574, 2688, 2854, 689, 15072, 269, 17813, 543, 23532, 640, 901, 4828, 17813, 543, 23532, 640, 543, 824, 476, 8618, 267, 1822, 266, 2165, 4574, 267, 2852, 1557, 1806, 543, 1863, 3594, 616, 2139, 1631, 593, 5623, 32487, 2593, 269, 19419, 5495, 13612, 2464, 14430, 269, 634, 1857, 2069, 1982, 593, 4197, 17813, 543, 5274, 7352, 566, 13976, 593, 3280, 14172, 538, 519, 9443, 543, 23408, 269, 17813, 267, 14940, 267, 2528, 10749, 281, 3683, 476, 5197, 267, 1822, 5198, 267, 14940, 267, 2528, 10749, 267, 5198, 267, 14940, 267, 2528, 12910, 14430, 267, 5198, 267, 14940, 267, 2528, 3194, 7433, 267, 3883, 269, 5131, 1557, 593, 18467, 538, 6904, 17813, 1299, 23532, 640, 4039, 622, 547, 9177, 2139, 11207, 1863, 693, 3235, 17742, 2593, 267, 519, 4102, 1863, 1557, 2146, 269, 0, 22706, 5426, 281, 623, 268, 1626, 454, 25284, 9577, 1275, 281, 589, 454, 14454, 12409, 10025, 281, 645, 454, 763, 3498, 568, 1034, 14018, 547, 1683, 513, 5578, 543, 16590, 1935, 547, 8357, 1944, 6863, 267, 2979, 5013, 543, 824, 1565, 1543, 269, 898, 849, 2488, 6267, 609, 519, 4316, 547, 912, 268, 1451, 968, 321, 924, 21092, 892, 4773, 540, 4143, 1344, 693, 513, 942, 454, 268, 4309, 7525, 5955, 593, 2164, 454, 268, 1449, 1702, 538, 1022, 1641, 1210, 2688, 3556, 1305, 5610, 609, 5616, 9022, 338, 454, 27775, 754, 566, 281, 594, 4363, 713, 813, 585, 2123, 946, 543, 1153, 946, 693, 713, 942, 269, 594, 1745, 713, 813, 1131, 581, 1034, 3617, 585, 946, 693, 1753, 585, 3237, 945, 1616, 547, 1683, 606, 3063, 7110, 547, 1153, 6437, 602, 3340, 513, 5578, 543, 16590, 1935, 267, 899, 1840, 543, 12408, 5013, 269, 898, 786, 2154, 4116, 610, 2937, 9781, 540, 946, 585, 1034, 2038, 10026, 1053, 547, 7500, 6707, 563, 7712, 594, 3459, 2870, 2688, 6486, 1115, 609, 575, 14503, 1662, 266, 594, 1265, 602, 519, 813, 568, 513, 1390, 1259, 585, 1250, 476, 280, 1032, 2025, 14930, 547, 2689, 741, 6863, 543, 5013, 1282, 1346, 2053, 950, 594, 666, 1406, 2047, 4217, 873, 269, 1280, 3236, 267, 649, 4076, 1044, 1210, 519, 813, 538, 519, 1286, 1282, 938, 5397, 547, 543, 689, 1153, 269, 2201, 2395, 950, 972, 568, 513, 1449, 267, 938, 3214, 616, 1256, 1210, 575, 14503, 1662, 266, 547, 2689, 1570, 1247, 789, 616, 4189, 14254, 1354, 1153, 269, 13242, 538, 713, 1259, 267, 547, 12927, 1883, 2035, 267, 594, 4076, 1336, 575, 14566, 1662, 266, 547, 581, 513, 1390, 9295, 547, 519, 1565, 1184, 563, 24478, 832, 19534, 281, 5291, 2517, 4178, 3052, 3369, 714, 332, 9394, 2593, 13045, 328, 307, 17480, 13017, 281, 8437, 3371, 454, 18204, 1674, 21909, 542, 281, 8073, 513, 11426, 18044, 15258, 5590, 609, 5616, 9022, 338, 454, 268, 7994, 519, 3617, 10959, 689, 519, 575, 2662, 714, 3896, 563, 268, 4495, 5697, 267, 596, 786, 581, 2111, 547, 2070, 519, 22369, 855, 596, 786, 991, 547, 1129, 538, 547, 707, 2123, 5616, 26671, 2272, 547, 1118, 1022, 2242, 563, 268, 4495, 596, 2461, 9896, 538, 267, 2824, 968, 17572, 892, 543, 968, 13014, 513, 5299, 2507, 892, 689, 519, 6749, 1524, 10624, 269, 2311, 713, 1448, 267, 596, 666, 556, 4067, 519, 3758, 607, 596, 1131, 899, 621, 547, 2408, 593, 707, 21236, 610, 19503, 617, 25291, 563, 268, 1411, 1058, 1631, 1294, 602, 575, 2662, 714, 814, 840, 1790, 641, 4327, 519, 10959, 609, 10297, 10834, 1141, 707, 2688, 1239, 1058, 581, 9411, 563, 268, 5999, 1058, 581, 5116, 538, 28758, 589, 267, 4267, 538, 28758, 645, 269, 1403, 596, 2461, 1210, 519, 2789, 3903, 10959, 267, 824, 11234, 6114, 666, 581, 9411, 538, 9587, 595, 6363, 563, 268, 4495, 596, 4076, 2813, 707, 2688, 5616, 24619, 9917, 564, 267, 621, 779, 4712, 547, 946, 593, 707, 3926, 563, 268, 7046, 519, 575, 14566, 1662, 266, 1982, 593, 707, 21236, 610, 19503, 617, 25291, 563, 268, 8564, 519, 631, 2894, 308, 7735, 689, 519, 1283, 2451, 1688, 7944, 540, 519, 813, 563, 268, 8564, 519, 631, 2894, 308, 7735, 689, 519, 1283, 2451, 1688, 7944, 540, 519, 813, 269, 8564, 519, 968, 7476, 3733, 5616, 4578, 2507, 892, 610, 968, 5804, 5616, 9022, 338, 892, 4781, 593, 707, 3926, 267, 2845, 538, 547, 707, 2272, 267, 543, 2824, 519, 22369, 596, 723, 2813, 547, 4647, 2047, 547, 519, 3926, 563, 268, 3767, 596, 2461, 4712, 547, 2196, 519, 6486, 564, 593, 707, 1688, 18988, 563, 1607, 813, 2689, 568, 3444, 1790, 739, 539, 693, 519, 594, 4065, 29393, 5623, 3896, 269, 589, 2027, 7064, 547, 8845, 631, 2465, 577, 585, 782, 519, 960, 646, 1281, 547, 1118, 26759, 541, 3820, 513, 1390, 4199, 585, 7855, 945, 616, 5461, 538, 2921, 513, 6251, 1413, 693, 519, 3872, 1871, 540, 8668, 13224, 1315, 594, 17490, 1315, 7379, 16104, 538, 519, 4928, 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 ]
[ 0, 16829, 281, 5988, 476, 1626, 628, 267, 476, 1708, 273, 454, 2108, 8505, 1143, 8552, 4524, 20284, 892, 5540, 513, 1804, 6871, 540, 519, 1158, 779, 2551, 269, 24894, 538, 2792, 543, 14375, 3347, 543, 735, 13955, 547, 4497, 538, 16625, 5615, 616, 10689, 12201, 540, 10295, 8552, 4524, 630, 32359, 1040, 5272, 15730, 267, 2523, 1346, 609, 10295, 267, 9060, 621, 2352, 547, 1118, 519, 20014, 689, 18273, 547, 15296, 269, 1703, 616, 1082, 4128, 585, 713, 267, 1519, 513, 3668, 540, 3358, 7028, 543, 2825, 12381, 267, 513, 4057, 3514, 1063, 519, 1268, 543, 519, 1604, 267, 543, 513, 3586, 15366, 4527, 602, 3954, 625, 1453, 741, 7115, 269, 634, 2090, 12649, 538, 713, 1382, 1957, 2709, 930, 7840, 593, 519, 1585, 2081, 540, 4543, 10708, 5912, 883, 15296, 269, 2290, 540, 873, 2882, 30010, 891, 2516, 609, 20284, 609, 1866, 945, 1174, 741, 2115, 267, 7393, 4656, 540, 10295, 547, 4217, 538, 5009, 8417, 547, 519, 2115, 540, 713, 2027, 2115, 1895, 267, 543, 3237, 4180, 602, 789, 1152, 2709, 8766, 948, 538, 1453, 609, 713, 2783, 547, 4217, 538, 7175, 873, 547, 6467, 547, 1007, 5054, 7561, 269, 634, 12117, 540, 891, 2409, 1058, 581, 6594, 2417, 547, 3313, 741, 7145, 563, 3080, 540, 519, 1034, 1455, 3029, 540, 693, 2988, 673, 1646, 568, 20150, 25400, 13081, 630, 32359, 1070, 799, 5540, 1004, 689, 782, 15211, 540, 1272, 269, 1234, 2017, 2590, 610, 30126, 5615, 543, 2792, 22907, 616, 2589, 540, 513, 5778, 23923, 11365, 1072, 2783, 269, 769, 519, 2136, 2276, 267, 20284, 5540, 835, 538, 1169, 476, 6924, 1453, 1142, 1032, 630, 9288, 3931, 1696, 620, 1421, 476, 1001, 277, 1040, 1677, 581, 538, 513, 2990, 540, 5912, 267, 835, 1590, 723, 6192, 1164, 1153, 267, 5833, 7694, 267, 4294, 585, 543, 1044, 7608, 547, 606, 3872, 9872, 267, 3144, 1416, 540, 835, 779, 2596, 2115, 267, 1500, 513, 6209, 9295, 547, 2486, 267, 543, 9738, 2635, 14375, 3347, 630, 9288, 3931, 1696, 620, 1421, 476, 1001, 277, 1040, 32359, 1053, 723, 4057, 4093, 538, 891, 2565, 2127, 1813, 547, 10770, 15366, 9525, 267, 513, 3668, 540, 1268, 10276, 1444, 3514, 267, 543, 513, 632, 14390, 540, 7471, 543, 8537, 2533, 269, 1677, 2327, 519, 1655, 2009, 6364, 538, 1142, 2013, 267, 621, 568, 538, 3025, 779, 1655, 1719, 547, 4983, 782, 540, 891, 2127, 563, 16248, 2188, 17225, 26144, 14038, 538, 741, 5912, 547, 15296, 269, 634, 1101, 568, 513, 6474, 1063, 513, 1268, 779, 1699, 3255, 543, 741, 11095, 2115, 538, 741, 7525, 1604, 267, 5219, 547, 607, 519, 968, 17367, 10276, 16652, 3514, 892, 630, 1320, 15106, 1696, 620, 1421, 476, 1001, 279, 1040, 6736, 519, 1164, 8561, 5116, 593, 519, 991, 585, 3358, 1489, 1949, 676, 3237, 543, 11108, 2069, 4648, 267, 1053, 609, 693, 2988, 673, 1646, 616, 711, 18113, 6462, 538, 2022, 16149, 776, 5468, 269, 22702, 547, 1164, 1153, 2069, 267, 24596, 2069, 568, 3908, 543, 19330, 1367, 1436, 630, 1320, 15106, 1696, 620, 1421, 476, 1001, 279, 1040, 5015, 267, 1034, 2362, 2069, 5234, 814, 1100, 8417, 547, 26144, 1053, 17528, 547, 2743, 741, 1367, 2115, 269, 4107, 12820, 896, 7407, 26144, 1004, 267, 865, 789, 616, 2016, 1970, 1790, 11691, 267, 27865, 517, 748, 6009, 1256, 952, 789, 666, 3648, 3565, 538, 824, 2081, 630, 1040, 1306, 513, 1267, 267, 789, 616, 1447, 2693, 547, 979, 547, 2852, 610, 960, 538, 519, 13781, 269, 634, 5912, 689, 6689, 883, 15296, 568, 12042, 1229, 1317, 540, 519, 22424, 520, 4850, 1063, 1053, 685, 1983, 543, 741, 960, 11645, 269, 1306, 513, 1267, 267, 20284, 1053, 3112, 6707, 5912, 883, 15296, 1813, 547, 513, 3668, 540, 3358, 7028, 543, 2825, 12381, 269, 12140, 267, 585, 1383, 267, 3111, 547, 6292, 26144, 1053, 609, 887, 2174, 919, 945, 723, 513, 9488, 1620, 540, 10295, 543, 666, 4217, 1346, 609, 519, 2783, 538, 15268, 547, 1007, 5054, 563, 2691, 621, 2501, 547, 20284, 5520, 267, 12820, 5749, 1406, 3257, 2614, 547, 6292, 873, 909, 609, 32283, 619, 945, 666, 948, 3391, 873, 998, 519, 1184, 540, 6104, 5109, 1898, 4247, 630, 9928, 2714, 1696, 620, 1421, 476, 1001, 279, 1040, 1879, 1004, 723, 2178, 1489, 1949, 267, 789, 666, 3082, 3533, 547, 1007, 5054, 269, 14451, 2069, 5238, 543, 3906, 1058, 3180, 29468, 547, 6318, 4656, 540, 10295, 543, 1128, 650, 513, 2631, 540, 7071, 543, 1620, 585, 741, 26144, 9164, 10838, 741, 5520, 269, 24367, 2312, 543, 3586, 2792, 609, 1053, 267, 12200, 267, 543, 12820, 568, 1898, 267, 543, 3246, 2318, 5955, 543, 3850, 873, 2614, 942, 547, 2347, 741, 4247, 630, 9928, 2714, 1696, 620, 1421, 476, 1001, 279, 1040, 4658, 609, 1646, 17799, 1265, 621, 2352, 547, 3082, 547, 1007, 5054, 1317, 540, 6325, 1489, 1949, 269, 14146, 619, 543, 19174, 666, 1732, 1489, 26144, 2043, 676, 1818, 22581, 602, 616, 3358, 547, 741, 1808, 2115, 269, 634, 8545, 779, 3119, 16023, 568, 602, 789, 4782, 547, 960, 4805, 2864, 982, 538, 513, 2319, 563, 6701, 596, 11112, 543, 798, 711, 723, 942, 547, 6023, 707, 7084, 286, 3657, 596, 18901, 602, 707, 1957, 786, 711, 1118, 519, 3446, 286, 1684, 596, 723, 9021, 602, 949, 17225, 596, 689, 7432, 538, 707, 7084, 593, 942, 286, 3657, 596, 13110, 543, 666, 18923, 6023, 707, 7084, 286, 3657, 707, 9344, 22522, 888, 2662, 31295, 707, 2601, 568, 267, 621, 568, 4570, 256, 1411, 666, 1205, 3318, 4081, 948, 689, 938, 3028, 693, 10097, 3928, 269, 1284, 723, 513, 2319, 540, 3318, 4081, 5830, 945, 666, 6023, 782, 707, 10467, 563, 10743, 18923, 723, 942, 547, 1224, 269, 1284, 3893, 596, 256, 5620, 707, 3332, 1557, 610, 1433, 2689, 2854, 1510, 2348, 519, 31484, 548, 540, 2542, 519, 1433, 269, 1411, 666, 1205, 707, 3332, 1957, 2688, 27787, 585, 596, 676, 938, 3332, 12665, 563, 2710, 596, 6560, 609, 8804, 286, 3143, 991, 547, 25711, 3054, 952, 8804, 568, 711, 707, 7484, 540, 7401, 269, 1411, 666, 1931, 707, 8804, 1957, 689, 938, 4081, 1603, 3028, 543, 1205, 476, 1911, 260, 3312, 960, 689, 19579, 8804, 4966, 563, 4407, 6530, 949, 581, 606, 4277, 1641, 267, 596, 949, 3668, 6190, 942, 547, 6023, 707, 10467, 269, 5213, 1406, 21817, 282, 676, 1210, 938, 4081, 1603, 3028, 267, 596, 666, 581, 21407, 540, 3501, 9344, 269, 5047, 267, 707, 9344, 786, 581, 5812, 563, 25811, 1359, 568, 3833, 513, 14053, 1641, 269, 4841, 3068, 513, 2603, 540, 2604, 543, 18923, 723, 2614, 942, 547, 798, 1018, 789, 2648, 547, 798, 269, 3776, 4081, 1603, 3028, 3893, 596, 4988, 256, 3776, 4702, 12665, 1246, 519, 1957, 5528, 543, 2327, 12905, 6765, 540, 519, 1957, 563, 1103, 519, 8808, 1576, 267, 596, 949, 723, 7965, 609, 3332, 8039, 267, 23064, 12190, 13132, 267, 2565, 3594, 267, 543, 824, 10467, 269, 3776, 8808, 7084, 5830, 786, 2709, 596, 3318, 8808, 1957, 948, 693, 1970, 5777, 563, 23871, 3578, 581, 5143, 267, 15257, 4574, 666, 581, 3833, 9688, 532, 269, 3776, 4081, 1603, 3028, 17212, 1407, 596, 540, 9854, 267, 2604, 267, 543, 2566, 269, 1411, 666, 6001, 543, 723, 4708, 540, 2247, 607, 938, 4081, 5830, 6023, 707, 15257, 7084, 563, 2171, 1491, 11348, 538, 2348, 930, 540, 519, 1655, 1870, 5830, 538, 519, 2872, 269, 3776, 1870, 5830, 723, 513, 2603, 540, 1995, 538, 519, 2361, 269, 1358, 616, 6325, 267, 543, 596, 666, 581, 21407, 540, 513, 1164, 17263, 1957, 269, 1358, 616, 2111, 547, 6023, 1870, 4574, 540, 1022, 1641, 267, 3259, 267, 21120, 267, 543, 7411, 2336, 2171, 30107, 540, 2348, 930, 540, 519, 1034, 4810, 7194, 4966, 538, 519, 2872, 269, 3776, 7194, 4966, 723, 3309, 1983, 267, 6791, 267, 543, 1702, 547, 6023, 1022, 2186, 540, 7084, 269, 1358, 723, 1569, 547, 782, 5686, 540, 3301, 547, 1205, 707, 7084, 2944, 563, 16240, 513, 1876, 1557, 949, 6961, 547, 581, 606, 31837, 25236, 762, 21677, 267, 2523, 950, 596, 991, 547, 917, 519, 15116, 885, 540, 519, 15424, 5943, 269, 6875, 5413, 540, 938, 1283, 27677, 577, 1876, 12665, 543, 1205, 24077, 9344, 543, 476, 1911, 260, 9547, 563, 2171, 723, 12006, 930, 540, 519, 1034, 2442, 5396, 649, 6023, 1657, 269, 8409, 616, 1175, 513, 9133, 540, 519, 4672, 6199, 269, 1284, 4308, 538, 782, 4081, 10459, 2094, 938, 5830, 616, 607, 3309, 269, 1358, 723, 1044, 6537, 689, 2066, 782, 10459, 267, 543, 9753, 616, 8655, 547, 1346, 5830, 5156, 547, 581, 519, 1655, 538, 519, 2361, 269, 769, 513, 2428, 9917, 961, 267, 972, 568, 1100, 4305, 649, 3112, 6023, 282, 782, 596, 991, 547, 798, 568, 1747, 707, 1931, 609, 721, 269, 1306, 1279, 607, 707, 5528, 616, 2312, 267, 1175, 3972, 649, 4927, 5838, 28000, 540, 519, 9015, 563, 5978, 1557, 5830, 616, 20021, 609, 20277, 781, 267, 18544, 267, 1912, 6185, 1421, 543, 4387, 622, 5232, 538, 1585, 5396, 269, 634, 5934, 10421, 547, 581, 606, 1557, 5856, 609, 938, 1557, 1603, 3028, 568, 547, 723, 513, 2852, 4110, 269, 2353, 938, 4081, 5830, 723, 513, 5934, 540, 1079, 1296, 540, 4081, 1603, 269, 1284, 723, 513, 22608, 19684, 1184, 547, 2327, 602, 649, 1205, 1152, 519, 1034, 19579, 1557, 5830, 538, 519, 2872, 269, 1284, 849, 2327, 602, 519, 5830, 616, 3946, 727, 569, 9104, 730, 585, 741, 1871, 269, 634, 5354, 540, 938, 5830, 616, 5065, 2296, 10529, 269, 1306, 971, 267, 519, 21711, 540, 1893, 543, 8239, 568, 30664, 764, 762, 563, 2467, 568, 513, 1360, 1970, 10171, 602, 596, 4465, 1406, 899, 519, 1957, 563, 8253, 693, 782, 269, 2353, 4574, 616, 2854, 689, 15072, 269, 1703, 568, 1100, 1259, 707, 20131, 610, 14357, 786, 8275, 602, 596, 1705, 711, 2328, 519, 1957, 3054, 269, 769, 1249, 267, 649, 4363, 1210, 938, 7084, 948, 2533, 585, 5812, 2164, 563, 2171, 2638, 782, 4574, 585, 17096, 1354, 649, 10505, 873, 269, 1284, 946, 3532, 17096, 10992, 3301, 971, 607, 15822, 10112, 793, 267, 700, 8554, 2237, 267, 543, 12414, 527, 514, 269, 1284, 849, 14202, 519, 17096, 1867, 865, 602, 596, 666, 2689, 621, 269, 1284, 1174, 602, 17096, 568, 4081, 11980, 269, 1284, 1131, 711, 1491, 519, 1981, 540, 26446, 12735, 3511, 1242, 960, 543, 28855, 1125, 707, 4081, 3460, 269, 5015, 267, 649, 798, 711, 6133, 610, 946, 840, 25740, 4574, 267, 543, 1142, 1957, 568, 2854, 689, 15072, 563, 2791, 3313, 950, 596, 1205, 519, 1957, 676, 4259, 519, 21120, 950, 11093, 519, 1931, 269, 2353, 4574, 616, 9447, 1369, 519, 21120, 269, 1284, 616, 1134, 3222, 602, 649, 7500, 538, 513, 942, 25259, 2872, 269, 1306, 971, 267, 649, 723, 9788, 856, 2994, 547, 2327, 602, 519, 7817, 11392, 519, 1957, 593, 942, 543, 789, 2760, 4413, 519, 21120, 269, 1284, 1174, 602, 4574, 602, 616, 11643, 3735, 723, 930, 2798, 20952, 539, 269, 1284, 798, 711, 1616, 596, 547, 4413, 1022, 2798, 1813, 547, 3735, 19169, 269, 1284, 960, 593, 25588, 21852, 676, 5458, 19114, 538, 1931, 547, 2327, 602, 596, 723, 15792, 942, 547, 2689, 519, 1957, 1354, 596, 10505, 621, 563, 2171, 723, 513, 7834, 543, 22637, 3609, 602, 10274, 938, 960, 269, 1284, 715, 14110, 2207, 2671, 1022, 6075, 1344, 609, 3791, 6105, 269, 3143, 821, 786, 2479, 917, 602, 596, 1031, 938, 7084, 948, 2533, 269, 898, 779, 1152, 1063, 596, 543, 721, 269, 1284, 616, 3808, 676, 938, 4507, 547, 2149, 519, 6075, 779, 3961, 543, 1344, 269, 2353, 707, 1344, 267, 971, 607, 707, 4408, 267, 6049, 1297, 267, 4757, 267, 1931, 1344, 267, 543, 865, 593, 267, 616, 6870, 269, 1284, 723, 7347, 3354, 1949, 602, 2327, 602, 707, 1239, 568, 6870, 269, 670, 22326, 938, 1949, 568, 2673, 547, 7543, 267, 543, 621, 814, 2760, 5949, 563, 2791, 6445, 782, 519, 1957, 5528, 538, 519, 1931, 1106, 269, 5269, 2386, 596, 1331, 782, 519, 5363, 2326, 865, 602, 938, 4081, 5830, 666, 5838, 519, 3501, 1957, 269, 898, 786, 849, 948, 547, 9004, 11991, 26941, 563, 3682, 3865, 547, 2628, 585, 519, 1957, 865, 602, 621, 666, 581, 8655, 547, 835, 540, 938, 4274, 4081, 5830, 269, 634, 1957, 1641, 568, 20083, 609, 519, 5856, 779, 1858, 540, 29286, 563, 2791, 5968, 609, 519, 5856, 543, 917, 827, 519, 3356, 540, 519, 1957, 269, 634, 7817, 666, 2307, 519, 5856, 585, 31585, 540, 519, 1957, 269, 634, 7817, 666, 14202 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5272, 1153, 814, 513, 10421, 547, 723, 513, 11727, 4116, 8036, 607, 513, 7981, 12409, 20126, 543, 26225, 18509, 13541, 269, 1358, 1590, 22738, 513, 28730, 693, 2160, 543, 2347, 606, 2962, 1382, 1788, 269, 1325, 2581, 11831, 1071, 268, 24002, 519, 7216, 13012, 590, 2894, 269, 12891, 2917, 594, 3960, 731, 607, 10361, 974, 12329, 814, 2949, 5539, 585, 590, 2894, 563, 1432, 798, 649, 798, 286, 744, 6435, 5234, 547, 2697, 1453, 609, 590, 2894, 1153, 282, 744, 8081, 5234, 538, 2348, 10853, 2943, 4101, 6788, 540, 10453, 744, 3629, 5583, 543, 1489, 538, 5870, 519, 2115, 540, 590, 2894, 10453, 744, 15858, 12417, 547, 1489, 2043, 744, 25103, 609, 824, 3506, 693, 4483, 630, 18528, 5166, 2460, 540, 1489, 264, 744, 22384, 540, 5234, 2866, 2115, 454, 11045, 15659, 30793, 8046, 910, 19737, 2200, 744, 1546, 1943, 532, 543, 5883, 5234, 3927, 744, 21253, 1043, 946, 540, 519, 2319, 744, 21278, 2298, 1344, 547, 5234, 1107, 3533, 744, 4635, 3054, 607, 513, 4199, 744, 6356, 1947, 1210, 5007, 2200, 454, 11045, 15659, 9164, 630, 6748, 1239, 264, 744, 4635, 1239, 547, 1217, 2259, 744, 3525, 518, 908, 2157, 540, 960, 609, 5234, 282, 744, 1323, 26087, 532, 1239, 547, 1217, 12755, 610, 2127, 585, 1646, 538, 3450, 744, 4635, 2199, 630, 25217, 1702, 3738, 547, 2697, 7525, 543, 2104, 2866, 2115, 454, 15275, 2305, 267, 10495, 543, 3038, 1707, 538, 519, 12729, 18001, 454, 22998, 609, 1866, 910, 945, 666, 948, 286, 744, 4033, 9164, 538, 519, 1482, 4882, 25630, 3510, 1107, 590, 2894, 4596, 5121, 744, 6206, 1004, 7923, 547, 519, 1153, 1107, 661, 11679, 282, 661, 310, 302, 282, 590, 3201, 25629, 3092, 744, 4635, 519, 1949, 2139, 547, 596, 1107, 335, 770, 7394, 4600, 267, 21768, 282, 8081, 30581, 630, 21206, 20126, 6887, 5148, 10871, 2027, 3506, 454, 7197, 1453, 15861, 547, 606, 10867, 610, 3119, 1153, 786, 2907, 723, 13984, 606, 2038, 2069, 4259, 269, 2368, 786, 711, 269, 5753, 609, 2027, 3872, 2115, 945, 723, 13984, 513, 21543, 1362, 267, 1404, 16766, 610, 824, 2038, 2069, 4259, 1058, 723, 1185, 741, 2115, 4857, 2907, 269, 11524, 949, 711, 269, 12140, 1058, 4061, 581, 3222, 602, 1022, 1126, 15861, 547, 519, 21200, 1362, 1522, 723, 796, 30009, 2027, 3872, 2115, 269, 634, 1482, 10039, 547, 1453, 945, 4483, 689, 835, 1153, 547, 1776, 1282, 519, 3119, 5123, 563, 3682, 9679, 585, 1453, 609, 2027, 3872, 2115, 568, 513, 2339, 585, 519, 1153, 607, 513, 2898, 269, 769, 1840, 547, 519, 12044, 1560, 267, 519, 1153, 779, 2212, 4116, 267, 519, 590, 2894, 4596, 543, 782, 824, 2818, 540, 5234, 723, 1271, 1554, 3562, 6377, 9021, 269, 2353, 3610, 616, 3610, 540, 1453, 609, 2027, 3872, 2115, 269, 9752, 971, 1453, 568, 4061, 513, 2898, 1153, 5539, 269, 769, 2259, 267, 519, 1259, 538, 799, 713, 5539, 568, 27361, 676, 1367, 5234, 568, 513, 2339, 585, 3506, 267, 547, 581, 4956, 538, 519, 1769, 540, 513, 1153, 779, 6381, 543, 2450, 267, 14422, 543, 31672, 563, 4263, 519, 2295, 540, 519, 960, 540, 1169, 3119, 1153, 1362, 568, 513, 6024, 4783, 540, 4058, 267, 3450, 543, 12570, 799, 3217, 2272, 540, 519, 2647, 2039, 540, 5759, 267, 19038, 6421, 543, 4690, 540, 1453, 269, 634, 5354, 540, 1453, 786, 1451, 543, 3356, 1369, 891, 12417, 563, 18662, 11059, 1879, 513, 1362, 4116, 610, 519, 590, 2894, 4596, 14439, 513, 1126, 609, 590, 2894, 519, 1362, 4116, 1058, 1683, 7459, 602, 616, 3606, 547, 610, 1114, 689, 1346, 3177, 607, 851, 540, 519, 1153, 779, 8912, 21630, 6437, 2709, 543, 2994, 630, 18662, 11059, 1040, 634, 12153, 585, 6304, 998, 3427, 11059, 1223, 581, 519, 4116, 779, 610, 1866, 685, 6161, 267, 20690, 2740, 676, 2963, 267, 827, 513, 1126, 945, 5103, 8391, 21630, 1565, 3255, 281, 2306, 2370, 610, 1100, 3356, 1256, 950, 3450, 4485, 616, 6098, 3226, 538, 513, 1126, 779, 4857, 1858, 540, 8467, 269, 634, 1153, 814, 513, 10279, 547, 1217, 519, 1126, 779, 3237, 602, 2027, 3872, 11865, 568, 1373, 1500, 585, 519, 1126, 1317, 519, 1126, 814, 590, 2894, 269, 22384, 267, 10495, 543, 3038, 1707, 538, 519, 12729, 18001, 2982, 4191, 540, 7411, 538, 3384, 7924, 610, 6128, 1983, 799, 1267, 538, 4057, 26556, 538, 930, 6437, 2127, 6799, 10770, 3929, 610, 24040, 7965, 799, 616, 711, 993, 601, 1640, 730, 676, 519, 7180, 2359, 2553, 2356, 6964, 538, 519, 1153, 814, 10444, 610, 2168, 2042, 267, 543, 5170, 547, 1118, 2370, 610, 1100, 3356, 5103, 519, 11865, 540, 11285, 3937, 814, 2792, 543, 5924, 5872, 7965, 267, 543, 5170, 547, 1118, 2370, 610, 1100, 3356, 5103, 519, 11865, 540, 513, 21630, 6437, 563, 23149, 4065, 12697, 11150, 6964, 547, 5512, 519, 1126, 547, 3356, 1058, 581, 6592, 1369, 606, 10572, 4065, 4643, 630, 296, 7968, 1040, 4329, 1344, 593, 5883, 594, 7968, 338, 543, 6828, 4065, 12697, 666, 581, 1336, 538, 519, 590, 2894, 15484, 18145, 269, 634, 594, 7968, 1058, 1331, 1344, 827, 281, 519, 2110, 3856, 9072, 1305, 585, 610, 676, 519, 1126, 519, 3450, 2994, 547, 581, 1031, 519, 11865, 547, 581, 2322, 538, 1747, 950, 519, 1544, 568, 547, 581, 12649, 1967, 543, 5924, 14827, 7355, 4093, 630, 1729, 581, 6592, 950, 594, 7968, 568, 12649, 1040, 634, 594, 7968, 1058, 1152, 2594, 602, 799, 568, 3606, 547, 610, 1114, 689, 519, 21630, 6437, 1544, 267, 799, 568, 538, 1747, 607, 851, 540, 11865, 585, 782, 1453, 269, 634, 594, 7968, 1058, 581, 5743, 2952, 2854, 543, 1445, 593, 1614, 610, 2185, 1367, 9072, 267, 6074, 689, 1346, 11341, 547, 519, 1883, 2127, 540, 2792, 267, 7924, 267, 6128, 267, 543, 7180, 543, 1514, 1983, 602, 6474, 519, 1126, 779, 2115, 269, 634, 594, 7968, 1058, 581, 5941, 609, 519, 1126, 543, 519, 3237, 563, 18800, 532, 594, 7968, 338, 594, 7968, 338, 1058, 581, 12649, 693, 2547, 7466, 513, 1032, 269, 27814, 789, 1058, 581, 12649, 2165, 569, 267, 610, 7654, 811, 4749, 585, 930, 1453, 269, 630, 4263, 10753, 520, 4133, 267, 649, 2689, 873, 1614, 2053, 513, 1032, 4700, 17352, 991, 711, 581, 3768, 340, 569, 6101, 267, 855, 3237, 685, 5784, 593, 519, 1126, 779, 3356, 1058, 581, 8179, 543, 789, 1058, 581, 31570, 607, 851, 540, 519, 2689, 1184, 269, 7316, 591, 2009, 267, 519, 1126, 1058, 849, 1491, 851, 538, 519, 2689, 1184, 543, 581, 3238, 538, 4259, 519, 9072, 269, 898, 568, 2141, 1271, 547, 5531, 519, 5784, 540, 519, 1126, 269, 630, 8450, 5620, 3733, 2161, 3883, 2280, 994, 18662, 11059, 9578, 589, 7662, 585, 948, 689, 5007, 2533, 568, 2693, 547, 1246, 513, 3375, 3144, 676, 519, 590, 2894, 12243, 543, 9164, 267, 538, 15360, 609, 3237, 267, 693, 513, 5870, 547, 2689, 519, 1126, 779, 594, 7968, 269, 12140, 1058, 2141, 5077, 12665, 950, 789, 1491, 2962, 593, 15773, 540, 513, 1126, 998, 3427, 11059, 9578, 269, 1809, 519, 9525, 540, 12665, 991, 711, 581, 3908, 547, 971, 1453, 269, 31072, 12665, 666, 1404, 606, 1271, 851, 538, 519, 1360, 2038, 8446, 540, 2027, 3872, 2115, 543, 538, 1443, 2358, 3506, 593, 2500, 11865, 2966, 547, 2061, 519, 1646, 540, 811, 1713, 2115, 269, 1358, 666, 957, 607, 29801, 543, 581, 513, 2707, 585, 538, 28129, 5796, 593, 1565, 543, 7180, 2359, 2994, 585, 782, 3610, 563, 18662, 7662, 585, 513, 27152, 4879, 7316, 513, 7662, 585, 513, 27152, 4879, 568, 1500, 676, 513, 1153, 547, 606, 700, 12788, 267, 519, 1126, 786, 723, 7152, 1713, 2014, 585, 6161, 269, 1548, 568, 513, 6465, 21881, 10495, 286, 8750, 532, 585, 6465, 21881, 10495, 729, 4371, 676, 519, 10871, 4065, 8191, 885, 269, 901, 814, 1631, 1044, 1821, 9407, 547, 782, 3506, 547, 1683, 513, 22194, 2179, 540, 11278, 7785, 271, 829, 3948, 269, 4789, 786, 581, 3001, 2509, 513, 3084, 7616, 4542, 585, 1153, 543, 590, 2894, 7616, 786, 581, 851, 540, 713, 563, 763, 2104, 540, 590, 2894, 538, 4789, 286, 6554, 4566, 547, 1847, 689, 6898, 547, 4065, 543, 2657, 5516, 4566, 269, 14268, 547, 723, 811, 1852, 936, 891, 543, 519, 7616, 5532, 547, 621, 269, 1715, 590, 2894, 3009, 540, 2259, 4947, 538, 2104, 547, 2992, 2242, 454, 4910, 1545, 5291, 2517, 4178, 8542, 2180, 600, 696, 976, 10921, 10993, 16896, 19841, 11305, 1735, 15078, 26236, 270, 19733, 663, 7075, 562, 532, 4882, 523, 270, 3333, 4141, 7901, 18025, 1137, 270, 29239, 269, 5684, 343, 634, 3345, 600, 696, 976, 10921, 1744, 4141, 7901, 4199, 2337, 1489, 1453, 609, 1514, 267, 3929, 267, 24040, 543, 2790, 1072, 2152, 269, 4179, 2517, 4178, 269, 25531, 10993, 16896, 9706, 3016, 725, 270, 20598, 9706, 3016, 566, 19547, 841, 18025, 698, 552, 272, 22230, 325, 2464, 260, 1220, 4649, 279, 260, 1708, 9826, 590, 2894, 15484, 18145, 6040, 518, 855, 3730, 4199, 5291, 2517, 4178, 3052, 331, 12431, 20156, 16691, 16896, 270, 8178, 906, 602, 666, 581, 12349, 547, 7668, 1153, 5234, 547, 13209, 2115, 5291, 2517, 4178, 4732, 25366, 12329, 3820, 2422, 995, 3896, 609, 3211, 543, 824, 3730, 6402, 585, 590, 2894, 0, 294, 587, 495, 323, 1767, 547, 15584, 281, 834, 10111, 557, 585, 3054, 1079, 14342, 540, 6149, 899, 519, 1101, 282, 543, 594, 786, 2328, 2390, 891, 14342, 519, 1913, 907, 4799, 257, 10111, 557, 585, 3054, 257, 910, 717, 587, 495, 323, 7000, 547, 15584, 513, 26755, 540, 1094, 653, 10921, 9944, 1010, 17895, 543, 1767, 547, 1864, 281, 519, 3653, 689, 519, 26002, 4927, 4866, 547, 596, 269, 3245, 713, 15584, 2968, 9765, 5944, 3638, 269, 630, 4097, 281, 272, 994, 268, 681, 20076, 781, 16555, 454, 763, 1094, 653, 10921, 7161, 2390, 799, 519, 14210, 16710, 906, 941, 27485, 941, 849, 513, 2707, 540, 1570, 5763, 585, 15584, 282, 855, 519, 22560, 11363, 602, 713, 729, 855, 513, 2427, 4324, 6508, 689, 741, 1412, 342, 4292, 262, 910, 1945, 19039, 569, 15672, 547, 519, 3020, 1599, 540, 519, 14342, 563, 763, 1599, 540, 22560, 568, 547, 8300, 543, 4001, 269, 634, 1570, 2640, 799, 1267, 616, 513, 12343, 540, 922, 782, 12656, 341, 8172, 5168, 543, 19870, 267, 855, 741, 3448, 4644, 568, 6697, 547, 519, 5641, 11325, 959, 9404, 902, 540, 519, 1286, 591, 781, 960, 563, 268, 15887, 6798, 9093, 659, 1335, 21780, 601, 540, 700, 889, 822, 3558, 454, 288, 9390, 539, 7385, 2899, 3357, 547, 700, 889, 822, 3558, 5275, 519, 948, 540, 15887, 6798, 9093, 659, 1335, 21780, 601, 269, 2060, 1200, 729, 1200, 1126, 267, 945, 729, 513, 544, 1393, 269, 634, 25031, 4807, 4280, 547, 581, 4607, 676, 519, 1234, 321, 2041, 267, 855, 729, 15189, 269, 2701, 1256, 1185, 519, 1234, 321, 2041, 781, 7385, 21936, 1864, 593, 1200, 15773, 630, 553, 1705, 1082, 540, 519, 2021, 945, 24714, 547, 1294, 1864, 264, 855, 547, 1100, 1992, 563, 7661, 267, 519, 669, 817, 573, 574, 15695, 1200, 547, 1159, 10212, 548, 519, 1126, 883, 15887, 6798, 9093, 659, 1335, 21780, 601, 781, 1353, 543, 723, 1864, 1688, 519, 1234, 321, 2041, 513, 4063, 6998, 585, 1010, 948, 269, 2701, 5206, 513, 4063, 10503, 1200, 3510, 607, 513, 9390, 539, 7385, 267, 554, 573, 519, 1126, 896, 519, 3349, 267, 543, 5143, 1864, 547, 2285, 621, 547, 519, 1234, 321, 2041, 950, 646, 9411, 519, 4055, 563, 2691, 519, 1126, 19942, 519, 4063, 547, 15887, 6798, 9093, 659, 1335, 21780, 601, 267, 646, 1767, 281, 834, 7883, 2995, 707, 3993, 602, 707, 4651, 568, 547, 581, 1336, 538, 713, 543, 713, 1747, 4799, 763, 1126, 2451, 519, 4055, 267, 8120, 547, 1010, 3993, 267, 543, 5693, 13994, 4327, 519, 5048, 269, 634, 4807, 6591, 513, 16028, 543, 2883, 13180, 689, 1200, 9393, 267, 543, 513, 2635, 267, 6340, 1126, 563, 2691, 519, 14393, 31397, 2164, 941, 31113, 4080, 547, 519, 1234, 321, 2041, 267, 646, 3274, 1767, 281, 834, 1692, 729, 594, 547, 917, 602, 519, 1126, 729, 513, 544, 1393, 8119, 634, 1234, 6277, 28856, 514, 267, 1932, 267, 729, 796, 11069, 5962, 676, 519, 5595, 27803, 269, 2701, 18056, 519, 669, 817, 573, 574, 540, 1018, 1200, 22516, 267, 15887, 6798, 5576, 928, 584, 2098, 531, 2006, 540, 9149, 14508, 267, 5143, 827, 519, 2395, 950, 646, 729, 513, 1167, 2118, 540, 519, 7395, 326, 573, 540, 2725, 10045, 3558, 267, 15887, 6798, 667, 990, 29155, 269, 834, 1103, 2725, 10045, 3558, 257 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6705, 685, 8778, 528, 28487, 593, 6243, 4303, 269, 2560, 808, 1872, 571, 329, 267, 945, 3576, 851, 538, 519, 6705, 685, 13889, 267, 11876, 13554, 519, 2048, 301, 880, 534, 19300, 756, 8730, 513, 21083, 9206, 602, 568, 10723, 547, 27566, 338, 693, 519, 11599, 4414, 10783, 593, 5130, 476, 2918, 563, 3674, 621, 25471, 547, 7390, 9206, 11876, 12371, 16008, 888, 763, 9206, 11876, 12371, 568, 2509, 11348, 543, 22632, 2509, 4182, 543, 3993, 1633, 269, 1411, 949, 7390, 621, 693, 824, 4025, 849, 855, 596, 1058, 711, 11716, 707, 1378, 13539, 585, 1022, 2601, 31049, 269, 898, 568, 711, 16601, 855, 8078, 2218, 593, 5520, 547, 8661, 519, 1554, 593, 741, 960, 22402, 563, 3674, 621, 476, 10170, 560, 610, 476, 7761, 526, 14412, 4303, 888, 20606, 476, 1428, 281, 14412, 4303, 476, 1708, 271, 267, 476, 10463, 6113, 14412, 4303, 540, 3127, 1107, 8648, 540, 3127, 563, 2691, 1058, 519, 9206, 581, 3144, 1524, 888, 5416, 264, 634, 9206, 1058, 2760, 581, 10268, 609, 519, 9769, 1524, 267, 4849, 607, 513, 5365, 540, 25680, 11605, 538, 8320, 540, 3665, 8594, 547, 1272, 610, 3959, 563, 1432, 616, 519, 798, 779, 543, 1810, 685, 1206, 540, 9206, 11876, 12371, 888, 2710, 779, 543, 5213, 685, 1206, 454, 268, 14208, 626, 519, 25035, 693, 513, 4463, 538, 513, 5078, 6073, 563, 268, 1684, 711, 1577, 1507, 1453, 946, 519, 2817, 25035, 607, 513, 11442, 563, 268, 1684, 711, 946, 610, 4444, 5068, 4469, 4711, 563, 268, 1684, 711, 946, 1957, 4469, 4711, 547, 8930, 909, 593, 25099, 22836, 267, 3092, 563, 268, 6875, 1416, 547, 1294, 602, 519, 25035, 1281, 711, 1205, 1835, 636, 9482, 563, 268, 1684, 711, 946, 519, 25035, 607, 513, 7333, 1676, 610, 585, 23732, 563, 3963, 616, 17514, 711, 2095, 333, 693, 3781, 888, 14503, 4711, 1058, 711, 581, 2451, 10760, 16074, 1317, 1100, 835, 786, 581, 2139, 547, 6318, 610, 2539, 621, 593, 519, 15964, 610, 9702, 267, 8259, 621, 568, 5265, 25139, 563, 1432, 616, 519, 3255, 585, 11876, 12371, 3084, 9206, 2626, 888, 12585, 269, 634, 570, 878, 565, 712, 1058, 2141, 581, 11876, 13554, 538, 513, 1747, 540, 1379, 689, 3141, 23438, 547, 23863, 269, 2755, 11876, 12371, 519, 9206, 267, 519, 1094, 742, 1258, 6512, 1590, 2141, 581, 10268, 607, 519, 1283, 2865, 6512, 593, 519, 1318, 269, 4635, 519, 3084, 9206, 607, 23732, 568, 711, 4847, 563, 3963, 4414, 10783, 568, 2699, 888, 17746, 1192, 539, 538, 476, 14321, 280, 676, 519, 11359, 28753, 531, 14890, 20961, 808, 25301, 607, 519, 19289, 540, 1010, 25167, 3854, 20961, 329, 25301, 21171, 267, 519, 4414, 10783, 568, 3957, 585, 922, 7372, 11700, 3151, 6821, 540, 2699, 32498, 269, 2560, 4107, 540, 519, 6830, 779, 10475, 18899, 3889, 941, 13604, 10032, 676, 519, 3703, 1739, 519, 4860, 27117, 540, 476, 6977, 278, 563, 1432, 5949, 593, 4414, 10783, 888, 763, 1008, 25607, 6411, 10419, 3603, 693, 519, 4414, 10783, 593, 5130, 476, 2918, 267, 476, 1708, 272, 676, 12213, 28788, 16852, 543, 1010, 6104, 1182, 941, 13778, 269, 13536, 267, 950, 930, 6705, 945, 1185, 10483, 28788, 16852, 547, 519, 4414, 10783, 1483, 2213, 602, 789, 1185, 1044, 546, 1575, 539, 267, 789, 941, 4712, 547, 1491, 1864, 547, 4305, 563, 7617, 9206, 568, 2699, 6830, 888, 763, 9870, 540, 519, 27566, 9206, 593, 519, 4414, 10783, 676, 930, 5171, 540, 519, 8778, 528, 15292, 593, 6243, 4303, 814, 6591, 1454, 3007, 269, 634, 3239, 540, 519, 715, 880, 534, 19300, 756, 593, 519, 4414, 10783, 543, 519, 667, 650, 328, 674, 622, 327, 630, 935, 26810, 540, 16156, 264, 814, 1279, 1044, 851, 540, 2442, 9345, 538, 23570, 267, 3226, 585, 519, 27566, 2146, 563, 3674, 621, 16601, 547, 7390, 5604, 593, 14412, 4303, 888, 272, 269, 634, 20343, 540, 2229, 8387, 568, 2838, 593, 519, 14412, 4303, 543, 6243, 4303, 585, 9206, 11876, 12371, 16008, 269, 476, 273, 269, 2560, 634, 2229, 8387, 991, 547, 581, 1459, 538, 519, 5604, 1256, 593, 513, 9702, 899, 7115, 1554, 543, 14081, 1554, 585, 519, 3483, 540, 9206, 16475, 16008, 563, 1432, 568, 25035, 14208, 12371, 942, 593, 6243, 4303, 888, 14503, 698, 11876, 12371, 543, 6243, 4303, 31959, 4626, 902, 912, 763, 6243, 4303, 3474, 1228, 476, 1708, 272, 2661, 7658, 4751, 568, 16516, 547, 1376, 693, 476, 280, 993, 609, 11788, 10579, 715, 732, 526, 571, 3525, 328, 9683, 519, 2549, 541, 26836, 534, 808, 344, 582, 328, 269, 13536, 267, 5518, 10548, 715, 987, 918, 990, 785, 786, 4652, 14766, 519, 3084, 9206, 269, 634, 31959, 2356, 5956, 693, 476, 280, 993, 543, 7475, 1472, 476, 1556, 269, 1789, 993, 269, 0, 3963, 798, 930, 2249, 2308, 1312, 5378, 2670, 543, 32450, 267, 6466, 824, 2249, 946, 1152, 5378, 2670, 888, 3719, 1175, 1946, 798, 930, 2249, 2308, 1312, 5378, 2670, 543, 32450, 267, 6466, 824, 2249, 946, 1152, 5378, 2670, 888, 3080, 4781, 606, 11248, 814, 547, 1332, 568, 585, 2281, 547, 21613, 2933, 547, 1711, 811, 2281, 630, 1492, 4244, 568, 585, 1142, 1591, 3294, 547, 4228, 538, 2450, 1040, 589, 1591, 666, 21613, 3294, 676, 2870, 606, 9838, 5299, 865, 519, 11248, 568, 2451, 609, 1079, 9838, 2281, 269, 26243, 267, 538, 5378, 2670, 267, 519, 13540, 540, 513, 1591, 17337, 543, 2733, 2373, 519, 15954, 547, 519, 1079, 8250, 22140, 4611, 538, 1142, 8250, 1591, 2348, 15954, 602, 616, 9838, 547, 1346, 540, 519, 2385, 1591, 269, 901, 568, 1018, 568, 1634, 607, 5378, 2670, 269, 17266, 1591, 539, 7103, 946, 713, 1184, 538, 1931, 547, 17297, 4733, 607, 513, 2249, 269, 5564, 545, 32698, 7103, 630, 3697, 3425, 264, 2308, 32450, 547, 1332, 1282, 1646, 610, 547, 16956, 4733, 8697, 5160, 563, 763, 824, 568, 585, 2281, 547, 1118, 3368, 12215, 1141, 267, 998, 519, 1184, 540, 6992, 1242, 267, 741, 4719, 1543, 786, 581, 1500, 2898, 1586, 269, 901, 568, 1018, 568, 1634, 607, 32450, 269, 8307, 7103, 799, 1685, 4638, 12093, 946, 32450, 563, 3383, 267, 1946, 798, 930, 2249, 2308, 1312, 5378, 2670, 543, 32450, 286, 5221, 789, 2933, 991, 547, 1332, 543, 7816, 630, 28387, 519, 991, 585, 5378, 2670, 264, 855, 789, 849, 16196, 543, 865, 991, 5378, 2670, 547, 3132, 3662, 13708, 26347, 269, 0, 14976, 9626, 14717, 2086, 18824, 814, 1044, 606, 1271, 5639, 593, 891, 2152, 585, 811, 982, 1079, 5756, 269, 12539, 14938, 652, 1674, 282, 8693, 7827, 543, 8693, 3163, 282, 23270, 3163, 282, 14606, 2560, 1635, 25138, 17659, 344, 1923, 11016, 267, 5130, 476, 1428, 267, 476, 1708, 272, 269, 1280, 721, 267, 607, 851, 540, 519, 2916, 5126, 3350, 267, 547, 5094, 1346, 1919, 568, 7543, 269, 968, 1607, 1867, 2488, 14519, 267, 1072, 4648, 267, 15156, 543, 519, 2489, 1857, 609, 519, 1344, 789, 991, 547, 1491, 12905, 2962, 547, 2149, 1857, 1072, 1848, 269, 20900, 2274, 16014, 578, 6308, 267, 519, 13653, 543, 8689, 540, 519, 23171, 5358, 593, 8693, 7827, 9442, 630, 24688, 6717, 290, 1070, 814, 1044, 3957, 519, 18579, 540, 8693, 2290, 779, 15537, 670, 269, 5576, 928, 3187, 13815, 585, 4934, 9227, 8693, 3163, 9442, 1721, 1010, 3621, 7418, 543, 2500, 2792, 593, 519, 3390, 540, 2916, 1689, 269, 634, 1482, 3364, 538, 2474, 540, 519, 17522, 543, 519, 27560, 540, 6805, 2244, 269, 26790, 543, 15076, 616, 1100, 9868, 269, 1358, 2461, 10010, 1317, 540, 875, 13044, 268, 866, 814, 4299, 519, 4346, 269, 1703, 814, 547, 581, 513, 4909, 1689, 538, 519, 2528, 540, 891, 5238, 269, 1306, 2622, 779, 667, 3881, 553, 590, 1074, 267, 29547, 1530, 553, 3657, 10787, 689, 8307, 26943, 335, 761, 269, 1924, 621, 779, 2731, 3078, 269, 2353, 540, 602, 568, 4448, 267, 543, 594, 1810, 1406, 917, 875, 1004, 1810, 1406, 1294, 519, 4276, 1063, 519, 10868, 543, 875, 3109, 543, 6805, 1004, 11124, 607, 513, 1267, 540, 602, 543, 3136, 547, 7985, 267, 1317, 782, 540, 1346, 3664, 941, 1500, 2059, 602, 3140, 27795, 267, 782, 1346, 3664, 849, 3357, 609, 13343, 18844, 269, 1656, 621, 779, 711, 9670, 602, 789, 2461, 519, 3283, 602, 616, 6098, 585, 7292, 5208, 269, 7377, 2827, 25409, 7925, 547, 519, 2360, 540, 2916, 1689, 1331, 1346, 609, 1970, 4747, 267, 2950, 540, 2681, 267, 19366, 2516, 630, 10175, 1346, 609, 3908, 2296, 15334, 1070, 7087, 1004, 267, 1453, 543, 9176, 2021, 267, 4587, 4079, 267, 7925, 17163, 2516, 267, 1004, 609, 9124, 543, 1004, 609, 840, 1410, 12371, 610, 5312, 2564, 2175, 269, 941, 1851, 519, 4411, 652, 1296, 540, 519, 2487, 27453, 538, 519, 8832, 25955, 693, 519, 1376, 540, 835, 540, 519, 4411, 652, 5756, 269, 21086, 814, 8149, 547, 4227, 8511, 3154, 5434, 2630, 476, 1220, 272, 2157, 676, 476, 3393, 260, 676, 476, 10711, 271, 543, 476, 3199, 260, 676, 476, 13078, 271, 269, 1284, 849, 4497, 519, 1857, 538, 2916, 1689, 2257, 543, 3435, 267, 538, 11450, 609, 6608, 267, 2923, 3906, 267, 3549, 267, 543, 3540, 2486, 267, 543, 609, 513, 3232, 267, 3084, 5925, 1982, 267, 23171, 8693, 2560, 4045, 532, 519, 15956, 1063, 2825, 21440, 543, 519, 11452, 269, 4208, 1970, 13867, 10820, 2115, 547, 581, 851, 540, 519, 2973, 1648, 4838, 269, 2755, 3395, 909, 538, 519, 29268, 267, 13573, 517, 2983, 933, 322, 651, 1705, 711, 1589, 2916, 1689, 729, 513, 10296, 6161, 269, 1635, 21861, 8493, 10719, 25554, 520, 648, 700, 777, 677, 320, 1315, 918, 2177, 307, 4629, 25278, 1315, 8752, 305, 12714, 3842, 5192, 1399, 16103, 1547, 8409, 616, 1114, 11615, 540, 4336, 602, 1331, 711, 1175, 7791, 1648, 855, 2635, 1426, 543, 782, 540, 519, 1919, 602, 1004, 991, 538, 1931, 547, 8853, 269, 769, 519, 5619, 267, 3370, 11016, 676, 519, 23171, 5358, 593, 8693, 7827, 9442, 543, 519, 6723, 28224, 2160, 4741, 585, 8693, 7827, 9442, 267, 476, 7871, 2560, 1656, 602, 779, 10423, 1256, 538, 519, 31811, 269, 2052, 596, 4766, 519, 6402, 596, 1294, 8220, 891, 1079, 2152, 286, 853, 1030, 534, 31670, 332, 560, 21807, 267, 606, 5836, 19212, 693, 519, 2160, 540, 623, 1824, 17043, 543, 513, 1071, 27236, 540, 519, 1007, 2079, 267, 5143, 552, 11740, 281, 968, 763, 7537, 8016, 6763, 693, 519, 4099, 540, 512, 6235, 15304, 22107, 3547, 1317, 540, 922, 1804, 8397, 3002, 3560, 1848, 898, 568, 267, 646, 3081, 267, 519, 1292, 2601, 1946, 519, 8832, 25955, 568, 15911, 982, 519, 2560, 4658, 540, 2681, 269, 4427, 4784, 676, 2051, 514, 7313, 527, 6652, 593, 5181, 476, 1428, 267, 476, 1708, 271, 267, 4179, 2517, 26625, 677, 6230, 2222, 7809, 2593, 19841, 268, 639, 270, 15276, 270, 12293, 2641, 30032, 1181, 564, 7721, 680, 648, 337, 1673, 5877, 338, 267, 634, 3328, 5993, 2837, 2799, 676, 476, 274, 269, 271, 269, 661, 20891, 17755, 2958, 528, 13624, 697, 305, 12714, 3842, 5192, 1399, 16103, 269, 2913, 779, 798, 713, 1927, 1848, 269, 13780, 958, 267, 649, 991, 547, 581, 3168, 693, 16069, 27983, 2443, 4227, 3327, 855, 849, 4227, 824, 14107, 269, 23171, 5113, 476, 11740, 281, 1411, 4076, 9275, 827, 519, 2462, 1790, 27348, 2856, 602, 2916, 1689, 543, 7292, 21440, 2671, 519, 1482, 5072, 543, 723, 547, 581, 9619, 1927, 267, 543, 602, 972, 568, 1100, 2916, 2962, 602, 568, 711, 849, 827, 7292, 5126, 269, 1284, 941, 538, 938, 476, 736, 338, 543, 713, 568, 875, 649, 3323, 269, 8693, 1689, 568, 711, 1175, 606, 2825, 3390, 281, 621, 568, 606, 2048, 22336, 2251, 685, 3390, 269, 968, 9336, 3602, 596, 1413, 267, 596, 666, 1294, 2916, 1689, 14944, 1456, 610, 17116, 547, 24183, 519, 13210, 540, 1072, 2223, 3081, 16362, 19162, 20242, 1206, 267, 519, 8783, 6940, 11464, 540, 519, 2136, 8003, 779, 2817, 2657, 6796, 267, 1634, 607, 519, 23244, 269, 23171, 779, 2916, 268, 4219, 543, 2825, 1382, 568, 513, 2312, 2013, 538, 1448, 269, 2201, 4728, 476, 736, 267, 476, 1001, 280, 267, 519, 14329, 540, 4521, 18669, 19429, 606, 993, 16307, 5618, 593, 15773, 540, 5449, 772, 2529, 269, 17009, 1846, 543, 2229, 8387, 538, 4975, 540, 18718, 1633, 642, 11065, 303, 533, 7456, 6983, 1421, 513, 2013, 4867, 533, 2056, 1354, 519, 715, 12764, 18065, 7868, 4872, 540, 18718, 1633, 543, 5842, 12770, 647, 539, 513, 1895, 540, 12539, 20727, 832, 585, 519, 2916, 1689, 28746, 3361, 676, 741, 632, 21082, 6725, 543, 13319, 540, 8093, 10173, 269, 17564, 26064 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 343, 264, 1317, 623, 314, 300, 259, 318, 333, 259, 27045, 343, 316, 815, 623, 314, 311, 259, 318, 328, 259, 27045, 343, 585, 782, 1775, 4940, 1924, 538, 707, 2013, 596, 798, 723, 519, 3169, 3892, 585, 631, 259, 318, 272, 259, 543, 631, 259, 318, 273, 8961, 855, 621, 568, 711, 538, 513, 8799, 1106, 269, 594, 786, 1039, 1201, 338, 547, 1250, 2626, 269, 1107, 1109, 28061, 681, 269, 595, 3062, 1157, 4119, 476, 2190, 1412, 1321, 693, 476, 2420, 281, 4391, 454, 1892, 594, 6415, 513, 2370, 30223, 676, 519, 1249, 602, 519, 1797, 543, 12676, 616, 6059, 689, 519, 5439, 269, 3657, 596, 31552, 602, 519, 6059, 14778, 1058, 581, 1031, 585, 1269, 293, 318, 272, 259, 543, 1269, 293, 318, 273, 259, 286, 1403, 865, 267, 713, 2626, 3112, 7654, 581, 2953, 630, 24392, 972, 781, 513, 4960, 621, 781, 513, 1434, 19406, 585, 1804, 5439, 1070, 1317, 5693, 519, 5021, 540, 606, 1775, 573, 3339, 3732, 267, 19585, 2390, 922, 1611, 543, 12676, 267, 568, 22112, 267, 6466, 1269, 293, 10983, 259, 568, 711, 22112, 269, 1403, 711, 267, 1287, 10502, 875, 1058, 835, 3489, 1269, 293, 318, 272, 259, 543, 1269, 293, 318, 273, 259, 286, 1107, 1109, 3369, 21310, 4119, 476, 2918, 1412, 1321, 693, 476, 2420, 281, 3451, 0, 258, 1473, 10631, 1947, 4347, 1441, 700, 1235, 543, 19577, 338, 692, 1103, 713, 2022, 267, 649, 786, 2263, 606, 31602, 1239, 2497, 607, 513, 1826, 585, 8638, 540, 2609, 269, 1284, 5581, 1079, 25276, 3252, 602, 666, 581, 4294, 547, 8638, 540, 713, 1826, 282, 12077, 267, 606, 5106, 547, 16289, 1079, 8638, 543, 606, 5106, 547, 9258, 513, 1592, 269, 2060, 891, 8847, 267, 649, 1305, 856, 547, 28879, 6961, 513, 1297, 540, 3601, 602, 1058, 3180, 585, 891, 3252, 676, 1797, 540, 15632, 780, 288, 1592, 568, 513, 1239, 2497, 540, 513, 4015, 540, 2609, 538, 513, 1978, 1931, 269, 589, 1592, 666, 581, 3989, 538, 2789, 2081, 269, 2290, 1259, 568, 547, 5581, 513, 1592, 607, 1373, 606, 3693, 630, 1492, 968, 3650, 892, 540, 519, 1592, 264, 4553, 676, 1776, 1592, 630, 1492, 968, 18571, 892, 540, 519, 1592, 1040, 1473, 10631, 1947, 267, 713, 1223, 581, 6101, 1242, 607, 5205, 1384, 5715, 10631, 633, 1592, 513, 28701, 931, 513, 1592, 1923, 562, 559, 780, 1607, 1797, 602, 513, 1592, 561, 609, 2609, 540, 1826, 1109, 320, 568, 2901, 931, 1535, 2766, 267, 609, 1109, 343, 540, 1826, 1109, 320, 543, 609, 1109, 18571, 540, 1826, 1592, 513, 267, 610, 1109, 331, 568, 519, 8900, 1592, 562, 559, 269, 2913, 779, 1413, 693, 930, 1383, 8638, 609, 2609, 540, 519, 2898, 2338, 780, 2260, 2506, 27679, 1592, 282, 11713, 331, 815, 562, 559, 692, 2260, 5903, 609, 835, 3693, 282, 1496, 272, 2639, 331, 815, 931, 476, 272, 562, 559, 692, 2260, 7756, 1592, 609, 835, 3693, 282, 1496, 273, 2639, 331, 815, 931, 476, 273, 562, 559, 692, 2260, 5903, 609, 1079, 2609, 282, 1496, 272, 267, 273, 2639, 331, 815, 931, 476, 272, 630, 4621, 476, 273, 562, 559, 2020, 2260, 5903, 609, 1614, 2609, 282, 1496, 272, 267, 273, 267, 274, 2639, 331, 815, 931, 476, 272, 630, 4621, 476, 273, 630, 4621, 476, 274, 562, 559, 11723, 9616, 602, 1317, 649, 723, 8638, 540, 9981, 267, 1739, 938, 4214, 519, 1592, 561, 568, 540, 1826, 1592, 8870, 780, 21296, 1592, 4238, 666, 581, 3989, 267, 971, 607, 16289, 543, 9258, 269, 1284, 3989, 938, 1592, 32366, 1947, 267, 543, 865, 621, 1131, 1118, 2631, 547, 5581, 891, 4238, 32366, 1947, 630, 10193, 1634, 607, 16571, 1947, 264, 607, 1134, 269, 5221, 540, 938, 16517, 1239, 2497, 543, 4238, 267, 649, 1058, 1287, 581, 2111, 547, 6961, 602, 1978, 3601, 540, 519, 4238, 3180, 780, 258, 1323, 4985, 547, 570, 1005, 26682, 692, 288, 570, 1005, 3684, 568, 513, 6310, 2203, 540, 513, 7344, 3684, 269, 2311, 922, 5072, 267, 519, 570, 1005, 3684, 3096, 513, 1224, 11320, 1679, 2212, 547, 13861, 6698, 593, 513, 11746, 269, 898, 729, 11827, 676, 519, 2780, 10196, 21142, 570, 1005, 538, 476, 4350, 277, 269, 21452, 267, 2687, 547, 519, 5783, 6874, 1005, 5098, 713, 2241, 3684, 666, 798, 3388, 1022, 824, 2780, 666, 798, 282, 1519, 938, 4207, 5904, 269, 9282, 891, 6191, 616, 711, 513, 4052, 610, 3608, 1797, 547, 5173, 1945, 538, 519, 1483, 1158, 267, 789, 666, 581, 1031, 547, 2601, 827, 1939, 1464, 543, 824, 3601, 540, 2780, 3292, 780, 258, 21142, 570, 1005, 2372, 1774, 689, 17270, 7557, 10320, 543, 11106, 692, 763, 2070, 602, 6191, 3112, 2285, 4473, 547, 26208, 568, 1813, 267, 594, 3494, 267, 547, 513, 2887, 2329, 547, 799, 15806, 543, 22697, 616, 3226, 1641, 269, 901, 568, 519, 13429, 602, 607, 4166, 607, 513, 1249, 568, 4843, 547, 513, 2247, 782, 4539, 540, 602, 1249, 5614, 883, 519, 2247, 8195, 609, 621, 269, 898, 568, 513, 1360, 3730, 13429, 896, 1082, 6381, 267, 855, 835, 1932, 3362, 8483, 1115, 602, 621, 568, 7301, 780, 1765, 21142, 570, 1005, 267, 476, 4198, 271, 0, 258, 5871, 11759, 281, 4400, 3427, 910, 7089, 543, 10829, 640, 2433, 13216, 7089, 4813, 281, 18938, 8160, 987, 5861, 2632, 550, 269, 9391, 301, 4211, 301, 6993, 269, 272, 692, 1012, 7151, 5999, 692, 16378, 494, 19881, 476, 272, 692, 2162, 7151, 7726, 1948, 272, 2433, 13216, 7089, 4813, 281, 595, 322, 1087, 8160, 987, 5861, 2632, 550, 13034, 338, 333, 595, 333, 6993, 269, 272, 692, 8245, 680, 4328, 519, 1739, 780, 15008, 1384, 1607, 2243, 4255, 835, 781, 2702, 547, 1685, 12980, 4238, 593, 1950, 2338, 269, 5999, 899, 713, 12857, 543, 13976, 593, 519, 1523, 540, 1950, 2338, 269, 31962, 602, 513, 1950, 1297, 676, 4214, 3568, 513, 2942, 4009, 269, 769, 6310, 2474, 713, 568, 6829, 607, 5205, 780, 8110, 14127, 12980, 4238, 593, 1950, 2338, 12346, 593, 519, 1620, 540, 519, 1585, 15821, 4238, 543, 3601, 630, 23251, 1026, 5737, 267, 1997, 894, 267, 543, 862, 32477, 3601, 264, 607, 1134, 607, 519, 16494, 267, 1950, 1297, 1109, 780, 2690, 519, 3483, 540, 5871, 11759, 11621, 267, 834, 3104, 972, 568, 513, 1950, 1297, 1109, 1109, 7945, 602, 1109, 267, 543, 1169, 1950, 1297, 814, 513, 1106, 1109, 1109, 5976, 1109, 30548, 1109, 1109, 732, 556, 1023, 2580, 1109, 17517, 1369, 519, 1849, 13831, 589, 540, 834, 704, 845, 12980, 4238, 609, 1950, 2338, 257, 1109, 18154, 16430, 8160, 26059, 5861, 2177, 307, 7728, 269, 9391, 293, 5861, 301, 6993, 6393, 31535, 519, 3044, 543, 519, 1523, 585, 799, 621, 12211, 547, 267, 649, 666, 1631, 798, 519, 1900, 8386, 9912, 1184, 547, 4194, 519, 1966, 538, 2243, 780, 3721, 476, 272, 281, 9524, 8691, 1063, 519, 1079, 2474, 780, 13434, 718, 602, 8691, 1063, 1079, 2234, 545, 663, 2474, 630, 614, 916, 896, 519, 4009, 3597, 1129, 1070, 666, 581, 5916, 607, 835, 1210, 519, 32705, 3959, 609, 8691, 780, 3721, 476, 273, 281, 16748, 519, 1079, 2165, 538, 519, 4082, 780, 3721, 476, 274, 281, 29553, 856, 1455, 2474, 602, 6818, 538, 519, 2234, 545, 663, 780, 8855, 602, 950, 513, 1297, 5526, 896, 519, 4009, 3597, 1129, 267, 835, 540, 519, 2338, 666, 581, 4547, 856, 4395, 543, 519, 824, 835, 568, 666, 576, 1194, 856, 780, 3721, 476, 275, 281, 2422, 519, 3961, 602, 1109, 780, 2162, 7151, 7726, 1948, 273, 2433, 13216, 7089, 4813, 281, 595, 322, 1087, 8160, 987, 5861, 2632, 550, 13034, 338, 333, 595, 333, 6993, 269, 272, 692, 2750, 12304, 1109, 1109, 553, 513, 6986, 16494, 1297, 780, 15008, 1384, 288, 6986, 16494, 1297, 568, 6829, 607, 1109, 267, 1141, 1109, 28812, 513, 2318, 1483, 1297, 543, 1109, 1109, 10517, 637, 757, 519, 16494, 1770, 780, 2162, 7151, 7726, 1948, 274, 2433, 13216, 7089, 4813, 281, 595, 322, 1087, 8160, 987, 5861, 2632, 550, 13034, 338, 333, 595, 333, 6993, 269, 272, 692, 2750, 12304, 1109, 1109, 553, 513, 6986, 16494, 1297, 780, 15008, 1384, 288, 6986, 16494, 1297, 568, 6829, 607, 1109, 267, 1141, 1109, 28812, 513, 2318, 1483, 1297, 543, 1109, 1109, 10517, 637, 757, 519, 16494, 1770, 780, 8245, 680, 1518, 1384, 15008, 1384, 8245, 680, 1518, 1384, 15008, 1384, 8245, 680, 1518, 1384, 15008, 1384, 2162, 7151, 7726, 1948, 278, 2433, 13216, 7089, 4813, 281, 595, 322, 1087, 8160, 987, 5861, 2632, 550, 13034, 338, 333, 595, 333, 6993, 269, 272, 692, 8245, 680, 1518, 692, 15008, 1384, 763, 7060, 540, 1109, 1109, 732, 1384, 1607, 4806, 5170, 585, 1169, 20422, 2185, 1379, 540, 1109, 269, 4935, 1384, 2162, 7151, 7726, 1948, 279, 2433, 13216, 7089, 4813, 281, 595, 322, 1087, 8160, 987, 5861, 2632, 550, 13034, 338, 333, 595, 333, 6993, 269, 272, 692, 8245, 680, 1518, 1384, 15008, 1384, 763, 7060, 540, 1109, 1109, 732, 1384, 1607, 4806, 5170, 585, 1169, 20422, 2185, 1379, 540, 1109, 269, 4935, 1384, 2162, 7151, 7726, 1948, 280, 2433, 13216, 7089, 4813, 281, 595, 322, 1087, 8160, 987, 5861, 2632, 550, 13034, 338, 333, 595, 333, 6993, 269, 272, 692, 8245, 680, 1518, 1384, 15008, 1384, 763, 7060, 540, 1109, 1109, 732, 1384, 1607, 4806, 5170, 585, 1169, 20422, 2185, 1379, 540, 1109, 269, 4935, 1384, 2162, 7151, 7726, 1948, 1015, 2433, 13216, 7089, 4813, 281, 595, 322, 1087, 8160, 987, 5861, 2632, 550, 13034, 338, 333, 595, 333, 6993, 269, 272, 692, 8245, 680, 1518, 1384, 15008, 1384, 763, 7060, 540, 1109, 1109, 732, 1384, 1607, 4806, 5170, 585, 1169, 20422, 2185, 1379, 540, 1109, 269, 4935, 1384, 2414, 14458, 1109, 1109, 1729, 513, 3677, 1379, 267, 3274, 2736, 621, 883, 1109, 1109, 614, 916, 267, 607, 891, 14458, 547, 476, 272, 780, 16378, 494, 19881, 476, 272, 0, 258, 594, 5890, 21505, 5276, 4830, 10321, 692, 272, 269, 9484, 476, 1556, 267, 476, 1001, 277, 692, 2162, 795, 9655, 332, 764, 8735, 344, 692, 17098, 21668, 2439, 763, 824, 1554, 538, 1362, 1250, 7548, 5018, 1945, 827, 9750, 5276, 4830, 10321, 267, 855, 646, 1705, 711, 14969, 269, 3245, 1018, 594, 1174, 267, 952, 1269, 343, 318, 272, 267, 24222, 343, 17624, 259, 616, 31085, 4830, 10321, 538, 1269, 309, 8961, 1141, 1269, 323, 574, 309, 284, 333, 285, 330, 8961, 875, 1131, 596, 8831, 1269, 343, 318, 272, 28011, 343, 17624, 259, 547, 513, 4493, 4399, 346, 1535, 318, 272, 267, 24222, 343, 5332, 1422, 23201, 700, 1115, 2161, 4399, 346, 586, 318, 272, 267, 24222, 344, 5332, 1422, 4151, 568, 513, 4493, 585, 1269, 309, 10608, 1635, 14178, 519, 1269, 343, 259, 10321, 267, 798, 596, 1589, 646, 729, 1175, 13288, 547, 1519, 782, 519, 1269, 344, 259, 10321, 538, 519, 1305, 540, 1269, 343, 259, 10321, 602, 616, 31085, 4830, 540, 519, 1269, 343, 259, 10321, 2496, 12552, 2439, 273, 269, 9484, 476, 1556, 267, 476, 1001, 277, 692, 2162, 3131, 334, 298, 692, 2252, 596, 723, 513, 1305, 540, 31085, 4830, 10321, 267, 596, 666, 4228, 602, 1305, 883, 513, 4493, 3274, 581, 4946, 811, 10321, 269, 769, 707, 1383, 267, 596, 666, 3442, 1269, 343, 3709, 330, 266, 272, 4151, 607, 1022, 6152, 538, 966, 602, 568, 711, 538, 519, 12732, 540, 4399, 346, 343, 318, 272, 267, 1422, 25854, 1535, 17624, 1422, 31859, 4517, 1287, 267, 1022, 6152, 1269, 343, 3709, 330, 266, 273, 4151, 602, 568, 711, 538, 519, 12732, 540, 4399, 346, 343, 318, 272, 267, 1422, 25854, 1535, 3709, 330, 266, 272, 348, 1422, 31859, 29128, 596, 723, 513, 4493, 540, 1269, 333, 259, 31085, 4830, 10321, 780, 274, 269, 9484, 476, 1556, 267, 476, 1001, 277, 692, 2162, 795, 9655, 332, 764, 8735, 344, 692, 10498, 3579, 267, 602, 781, 1018, 594, 2219, 855, 594, 4941, 2576, 3116, 781, 5133, 256, 8729, 3131, 334, 298, 256, 0, 258, 1215, 547, 1265, 519, 2489, 2165, 4542, 1759, 593, 519, 2078, 1063, 519, 1634, 2040, 543, 519, 2489, 2165, 2496, 763, 2078, 1063, 519, 1634, 2040, 543, 519, 2489, 2165, 568, 607, 5205, 1384, 338, 19559, 316, 2652, 513, 19559, 316, 317, 273, 1341, 476, 272, 270, 273, 513, 19559, 316, 910, 476, 1691, 7531, 1692, 547, 1265, 519, 2489, 2165, 4542, 513, 1496, 333, 6540, 11965, 9876, 314, 346, 338, 19559, 316, 2652, 513, 19559, 316, 317, 273, 1341, 476, 272, 270, 273, 513, 19559, 316, 910, 476, 1691, 267, 513, 19559 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 596, 786, 2972, 563, 14154, 786, 581, 593, 631, 1180, 904, 543, 774, 2720, 17058, 543, 1312, 18027, 20164, 630, 785, 3233, 543, 9205, 264, 786, 581, 2877, 269, 4210, 21148, 786, 581, 593, 13628, 585, 713, 2165, 563, 1607, 1296, 11762, 616, 281, 3778, 540, 2052, 1023, 267, 634, 14175, 11206, 267, 5253, 1472, 519, 2622, 267, 634, 14564, 543, 18301, 543, 19803, 540, 4789, 454, 18662, 16071, 281, 11728, 476, 1556, 628, 5437, 454, 9349, 12876, 281, 13628, 476, 1691, 628, 5437, 547, 11728, 476, 1240, 628, 5437, 454, 8310, 10977, 3992, 281, 13628, 476, 276, 628, 5412, 454, 16775, 273, 8349, 19270, 1068, 281, 13628, 476, 1321, 628, 5412, 454, 8310, 4303, 4201, 4379, 12910, 281, 11016, 476, 736, 628, 5412, 454, 31388, 476, 1556, 628, 5437, 476, 1001, 280, 454, 1103, 7924, 713, 3018, 267, 649, 786, 581, 4358, 547, 1413, 693, 1603, 606, 7045, 1650, 1305, 538, 519, 4764, 4104, 563, 1103, 6746, 2329, 267, 649, 786, 581, 20460, 1746, 938, 2053, 7515, 563, 14399, 769, 10261, 568, 593, 11016, 476, 1428, 628, 5437, 269, 5753, 991, 547, 2097, 547, 1153, 538, 4563, 28185, 27890, 267, 30157, 543, 513, 6505, 25549, 512, 6879, 7398, 269, 589, 17319, 9295, 540, 11278, 272, 799, 4422, 547, 5753, 538, 10261, 563, 1607, 3018, 1453, 786, 1205, 6780, 593, 4165, 11618, 1210, 18772, 525, 269, 4518, 547, 581, 6192, 538, 15513, 543, 19942, 538, 593, 13723, 476, 736, 628, 5437, 563, 307, 1307, 7515, 4698, 1047, 454, 14399, 991, 547, 917, 782, 540, 519, 2053, 7515, 676, 2904, 476, 1708, 271, 269, 7490, 1376, 609, 476, 277, 267, 476, 278, 543, 476, 280, 2053, 7515, 563, 763, 1739, 6402, 723, 3756, 602, 519, 1453, 666, 26821, 891, 593, 912, 5472, 1453, 991, 513, 3957, 1216, 11480, 602, 789, 666, 946, 538, 1362, 2429, 519, 1554, 865, 789, 666, 1205, 513, 4235, 950, 2877, 563, 20091, 693, 1753, 454, 14399, 616, 4397, 547, 1224, 547, 606, 2937, 693, 1753, 585, 693, 2547, 476, 1015, 3764, 3232, 563, 18662, 7335, 7734, 616, 4957, 593, 513, 13638, 543, 11016, 269, 5753, 538, 30446, 18133, 4147, 616, 4397, 547, 2322, 741, 1433, 543, 19701, 538, 519, 1433, 1689, 4216, 593, 891, 2395, 269, 7490, 5815, 538, 519, 2542, 19701, 950, 596, 723, 1224, 609, 707, 1126, 563, 13043, 338, 543, 2296, 14581, 616, 1305, 593, 14595, 4374, 563, 29094, 568, 1305, 593, 11016, 543, 1813, 538, 593, 1739, 13723, 563, 8923, 1294, 7923, 1592, 540, 1913, 2630, 269, 1452, 616, 519, 29745, 602, 1453, 616, 4397, 547, 1451, 547, 11963, 676, 519, 1439, 540, 5729, 476, 274, 270, 275, 563, 1103, 5729, 476, 275, 1453, 616, 4397, 547, 917, 782, 519, 2053, 7515, 1519, 6498, 5013, 563, 2080, 616, 930, 6700, 7270, 547, 948, 596, 26821, 912, 1607, 2165, 938, 1888, 568, 1412, 763, 14175, 11206, 23823, 22296, 2248, 539, 7270, 952, 596, 1131, 899, 547, 2347, 930, 3606, 1382, 609, 707, 1126, 912, 8196, 995, 2835, 602, 596, 1223, 946, 547, 948, 1489, 707, 1126, 609, 6746, 2329, 616, 912, 20055, 707, 3214, 609, 13004, 676, 8349, 966, 867, 9007, 454, 7659, 8609, 476, 273, 13174, 267, 634, 5530, 3883, 676, 8713, 294, 454, 7659, 8609, 476, 273, 13174, 267, 4518, 719, 5729, 476, 275, 630, 19989, 585, 1142, 1032, 1895, 264, 676, 8713, 294, 454, 7659, 8609, 476, 273, 13174, 267, 28080, 9643, 5530, 3883, 5729, 476, 275, 630, 19989, 585, 1142, 1032, 1895, 264, 676, 8713, 294, 0, 20360, 338, 543, 5836, 14768, 7941, 519, 9533, 7909, 883, 1079, 1949, 267, 5087, 543, 5045, 269, 634, 3162, 9533, 1062, 5205, 519, 4806, 540, 9649, 14743, 7432, 4831, 22018, 3772, 267, 7957, 1681, 13743, 689, 7262, 3979, 16788, 547, 519, 17113, 269, 1656, 1034, 540, 519, 1004, 945, 18084, 519, 9533, 1063, 543, 1705, 865, 538, 519, 7013, 851, 563, 4263, 23007, 10553, 4123, 543, 32013, 11076, 540, 4639, 4000, 634, 1655, 8153, 21083, 9467, 1062, 568, 519, 1098, 520, 23007, 10553, 911, 323, 996, 520, 13234, 689, 519, 3735, 476, 1626, 628, 547, 634, 693, 23007, 1062, 543, 21562, 476, 866, 628, 5553, 267, 8876, 10437, 267, 6666, 7031, 267, 543, 14475, 5370, 1063, 4639, 4000, 10111, 11194, 610, 1977, 10125, 543, 519, 3864, 7810, 7060, 267, 609, 519, 7187, 10125, 540, 3703, 3345, 3013, 18034, 1715, 1621, 4133, 5568, 2921, 936, 519, 1909, 540, 2342, 563, 28158, 5370, 267, 538, 2490, 267, 941, 1031, 547, 6718, 3979, 10437, 267, 945, 941, 1287, 4547, 593, 519, 4262, 26738, 7178, 689, 4000, 547, 519, 17113, 267, 519, 865, 10777, 5664, 10426, 720, 563, 1103, 1721, 3236, 267, 15352, 22956, 15550, 519, 667, 636, 667, 1392, 553, 23950, 5896, 547, 519, 15438, 540, 8050, 543, 17577, 834, 21459, 543, 1863, 10479, 547, 28117, 267, 3406, 856, 267, 7001, 267, 543, 1016, 24503, 622, 519, 7203, 659, 839, 1496, 15404, 32093, 316, 543, 533, 698, 753, 543, 1022, 824, 796, 29207, 951, 589, 5929, 1383, 568, 519, 7810, 12387, 13293, 4123, 563, 306, 13610, 1419, 538, 922, 5277, 1106, 267, 12387, 13293, 689, 519, 12144, 729, 21775, 547, 2342, 610, 1715, 4789, 267, 1141, 621, 729, 30341, 883, 15555, 269, 634, 12434, 689, 519, 9042, 540, 4006, 941, 1031, 547, 6718, 14475, 5370, 267, 799, 941, 1287, 25855, 547, 4639, 4000, 267, 1141, 789, 941, 536, 691, 1229, 585, 10437, 563, 763, 10437, 941, 1287, 4547, 1394, 547, 519, 12144, 547, 581, 4421, 547, 4006, 1544, 1562, 269, 634, 12434, 689, 519, 9042, 540, 519, 10437, 941, 1287, 1031, 547, 4444, 811, 4006, 267, 799, 729, 25855, 547, 2342, 267, 1964, 691, 532, 519, 4783, 269, 634, 7552, 3294, 3576, 2947, 547, 12964, 4374, 269, 634, 2530, 540, 519, 8418, 591, 24006, 28386, 8895, 2917, 538, 834, 296, 563, 22139, 9533, 21859, 516, 634, 1101, 1850, 540, 519, 6906, 729, 689, 513, 3864, 2823, 547, 4000, 267, 538, 799, 9635, 5645, 7727, 585, 9042, 543, 4123, 267, 971, 607, 7601, 743, 1054, 339, 8667, 1115, 267, 10553, 19273, 326, 12584, 543, 993, 32099, 269, 3509, 10437, 5747, 540, 2068, 538, 519, 22125, 6585, 540, 519, 10553, 9635, 563, 5629, 519, 6928, 6603, 519, 1715, 2622, 267, 20665, 15000, 941, 4421, 538, 519, 12144, 610, 519, 1977, 10125, 269, 634, 9635, 941, 1287, 5423, 547, 1205, 873, 8499, 19345, 267, 27071, 267, 543, 16041, 609, 13143, 5370, 585, 513, 2132, 22116, 267, 519, 3791, 1850, 267, 547, 741, 1753, 2823, 267, 476, 689, 519, 4639, 28851, 519, 1292, 13143, 524, 1173, 3996, 941, 4006, 267, 15555, 267, 543, 12387, 13293, 282, 689, 7910, 9332, 984, 8829, 543, 23741, 563, 763, 6928, 1287, 8120, 547, 2342, 547, 2347, 519, 6906, 269, 8641, 18995, 519, 1297, 540, 10437, 16865, 689, 4000, 689, 547, 1717, 267, 1317, 540, 1896, 11393, 602, 10553, 9635, 5185, 3379, 547, 824, 4123, 9635, 267, 789, 1419, 8120, 547, 741, 1753, 2823, 8876, 8726, 5370, 941, 11593, 2139, 538, 519, 17113, 543, 4904, 909, 513, 1804, 851, 610, 782, 540, 741, 4390, 609, 3440, 770, 563, 8448, 11393, 1331, 519, 1114, 1106, 540, 519, 9635, 547, 4163, 607, 1082, 3425, 607, 2009, 267, 855, 711, 4998, 547, 4163, 513, 5021, 2179, 540, 3132, 543, 519, 7648, 538, 519, 8653, 540, 513, 10553, 22116, 267, 1818, 621, 18374, 7543, 547, 840, 1606, 3832, 7191, 20499, 538, 519, 17113, 267, 799, 5921, 602, 10553, 9635, 1419, 8452, 538, 519, 17113, 856, 6361, 5498, 1783, 563, 18814, 547, 519, 10437, 1373, 16487, 538, 9395, 267, 16876, 5624, 267, 513, 1507, 6871, 540, 519, 1895, 602, 3323, 829, 1639, 693, 519, 3946, 540, 2068, 543, 3668, 540, 29454, 269, 1715, 4789, 849, 1500, 15555, 689, 12144, 4006, 543, 12387, 13293, 6518, 621, 25855, 547, 4000, 607, 1134, 607, 1369, 519, 1715, 2622, 563, 5591, 1715, 4789, 18318, 616, 1634, 547, 723, 6192, 513, 18615, 5547, 540, 519, 2407, 6906, 267, 799, 3576, 513, 11706, 1032, 593, 3328, 267, 2687, 547, 14787, 1849, 858, 867, 26757, 17980, 269, 18703, 267, 729, 13603, 909, 538, 676, 14787, 6723, 595, 563, 300, 1783, 267, 543, 6603, 2407, 7156, 689, 513, 11000, 538, 676, 1977, 1870, 2006, 543, 14787, 5261, 645, 269, 4033, 21083, 23194, 314, 12575, 9948, 634, 2165, 834, 28256, 9771, 4123, 257, 849, 4016, 547, 513, 3099, 540, 824, 23194, 269, 901, 3335, 3238, 13143, 532, 6151, 2200, 267, 971, 607, 3165, 2523, 6070, 13798, 698, 3472, 1116, 3132, 610, 29421, 5228, 3703, 3345, 1977, 10125, 547, 10437, 543, 1544, 1562, 538, 519, 4639, 28851, 6902, 4006, 543, 12387, 13293, 689, 519, 12144, 282, 543, 1585, 14475, 21113, 689, 4279, 6628, 563, 288, 1007, 834, 338, 13610, 6906, 257, 2919, 538, 519, 521, 543, 521, 17929, 1977, 9635, 3576, 2199, 3132, 547, 10699, 520, 1156, 4547, 4006, 610, 6995, 689, 18010, 547, 519, 27397, 5032, 6739, 7276, 543, 9527, 550, 1156, 3046, 4401, 543, 23741, 1394, 547, 1715, 4789, 269, 6637, 476, 1240, 20895, 634, 9533, 3590, 543, 4000, 630, 594, 563, 24456, 725, 538, 519, 4639, 28851, 589, 269, 16690, 1436, 6969, 910, 6524, 2073, 519, 17417, 941, 812, 569, 5059, 593, 476, 276, 270, 276, 263, 1724, 1040, 9533, 1062, 4000, 4828, 269, 4985, 269, 9533, 1062, 5097, 4016, 547, 519, 4123, 540, 10437, 547, 519, 1007, 10125, 540, 17577, 543, 8050, 538, 543, 1472, 519, 9533, 7909, 267, 689, 476, 1626, 628, 547, 476, 866, 628, 2540, 585, 24873, 5301, 543, 585, 519, 1646, 540, 4346, 538, 519, 4525, 3238, 910, 9533, 1062, 4000, 4828, 4367, 563, 1492, 10553, 4123, 543, 24873, 8474, 941, 2629, 4773, 540, 513, 1630, 4040, 1007, 9533, 1062, 602, 6410, 5370, 543, 5763, 267, 607, 1134, 607, 1004, 543, 4529, 267, 1472, 519, 9533, 269, 634, 9533, 1062, 3576, 513, 15265, 17167, 538, 3979, 2729, 1312, 1282, 519, 5664, 10426, 720, 543, 896, 519, 10792, 2175, 540, 24873, 8474, 270, 276, 263, 272, 1916, 323, 573, 519, 9533, 3590, 1860, 2342, 267, 4000, 267, 543, 519, 17113, 286, 630, 763, 3047, 543, 4706, 24447, 267, 3738, 634, 3350, 540, 5370, 267, 1004, 267, 543, 5763, 538, 519, 3735, 476, 1704, 628, 543, 476, 1240, 628, 5553, 18385, 4957, 7239, 2066, 519, 17407, 540, 2342, 267, 4000, 267, 543, 3345, 543, 3162, 3013, 267, 7551, 2810, 519, 3914, 540, 14051, 538, 519, 2413, 2085, 563, 663, 519, 968, 31590, 9771, 11780, 892, 1063, 1715, 4789, 267, 4000, 267, 543, 519, 4639, 28851, 269, 476, 274, 563, 2026, 519, 9533, 1062, 2919, 267, 2799, 3747, 585, 4006, 538, 27867, 543, 22733, 2540, 2342, 729, 2404, 609, 606, 2333, 538, 519, 2095, 540, 10437, 689, 4000, 547, 519, 1715, 2622, 563, 275, 269, 9484, 476, 5881, 267, 5788, 634, 9533, 11780, 729, 513, 3060, 540, 4123, 2813, 538, 519, 521, 547, 799, 22112, 1927, 5375, 2342, 267, 4000, 543, 519, 17113, 563, 763, 1259, 713, 1062, 5249, 729, 998, 519, 6133, 540, 10437, 547, 3489, 21113, 602, 941, 3812, 538, 519, 1007, 678, 1532, 5090, 531, 2593, 281, 7046, 269, 0, 8512, 1834, 4580, 568, 513, 14475, 3574, 1587, 7768, 540, 4718, 706, 560, 267, 3574, 13365, 610, 3574, 695, 822, 902, 6404, 609, 513, 18300, 269, 901, 598, 1723, 794, 568, 30305, 267, 19316, 267, 16271, 547, 3002, 543, 2759, 547, 3337, 267, 4611, 538, 513, 6656, 1570, 602, 666, 581, 1031, 585, 513, 3099, 540, 1919, 269, 898, 779, 1419, 1031, 607, 6692, 1324, 610, 607, 606, 896, 26792, 618, 585, 24095, 269, 21311, 22495, 622, 949, 581, 4294, 547, 1312, 5011, 547, 1711, 513, 1587, 602, 666, 581, 1031, 547, 1711, 3388, 689, 11647, 547, 19970, 1115, 547, 3774, 8470, 532, 269, 10361, 883, 594, 298, 12788, 543, 596, 3580, 1265, 14143, 540, 9325, 4580, 563, 7312, 2631, 540, 2230, 543, 875, 547, 946, 621, 786, 581, 5594, 1114, 4470, 593, 519, 1445, 540, 707, 4739, 269, 1403, 596, 616, 2679, 11647, 609, 1688, 2645, 267, 596, 786, 581, 2111, 547, 1118, 798, 609, 1447, 2230, 630, 8974, 476, 4968, 13483, 10264, 4700, 982, 952, 596, 2461, 1210, 5631, 1379, 2645, 543, 2679, 5036, 540, 19970, 1115, 630, 1478, 476, 6110, 13483, 10264, 12175, 2368, 476, 274, 291, 20592, 609, 513, 1982, 899, 28220, 268, 10000, 610, 930, 476, 273, 291, 29282, 593, 3113, 1957, 609, 26987, 2759, 8083, 666, 1450, 596, 547, 4603, 609, 25786, 707, 2230, 543, 875, 1454, 540, 621, 596, 786, 991, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 32095, 2471, 814, 4362, 513, 17396, 20748, 8142, 543, 2797, 1982, 267, 799, 646, 7319, 12923, 538, 16439, 547, 11204, 543, 5053, 2959, 269, 9995, 3626, 781, 2178, 3909, 31007, 538, 4999, 609, 1010, 29450, 657, 344, 526, 673, 626, 2797, 16809, 3964, 1864, 607, 513, 3909, 694, 518, 543, 5837, 6963, 518, 607, 1134, 607, 513, 2797, 1589, 518, 543, 568, 519, 18634, 540, 519, 8049, 11100, 540, 14100, 1143, 543, 8567, 540, 519, 3735, 14206, 10601, 12832, 31804, 10224, 2229, 267, 519, 674, 1370, 324, 9995, 514, 16695, 632, 8644, 518, 24265, 715, 659, 1308, 563, 11328, 2958, 1308, 19983, 538, 9147, 12379, 334, 15330, 3821, 7710, 519, 1909, 540, 954, 2958, 1308, 5872, 538, 519, 6422, 1914, 32241, 3157, 602, 8032, 519, 840, 4211, 565, 3518, 1014, 7239, 540, 12379, 334, 15330, 3821, 269, 3955, 13694, 7418, 689, 3056, 5640, 8495, 10409, 5385, 543, 24228, 267, 31163, 531, 2853, 267, 11175, 3270, 267, 23907, 267, 12835, 2762, 267, 543, 4123, 1949, 267, 9306, 513, 3099, 540, 2013, 2090, 6537, 689, 2789, 8901, 267, 13796, 267, 543, 2686, 8658, 1369, 12379, 334, 15330, 3821, 563, 19425, 2801, 5505, 723, 1279, 6444, 519, 2629, 1909, 540, 954, 2958, 1308, 5872, 538, 519, 1646, 543, 2686, 6384, 540, 3504, 7239, 267, 3226, 538, 2474, 540, 519, 4720, 540, 1914, 32241, 6988, 543, 2804, 1949, 269, 10765, 1382, 814, 2417, 9450, 519, 15456, 267, 1148, 3140, 267, 17801, 4919, 267, 543, 3134, 15572, 545, 5638, 538, 12379, 334, 15330, 3821, 267, 28498, 513, 2565, 15260, 20156, 540, 519, 1950, 2078, 1063, 5872, 543, 2686, 6384, 269, 901, 4320, 13976, 593, 543, 7586, 5809, 4505, 1382, 547, 4983, 1914, 32241, 9259, 31251, 3350, 267, 9194, 267, 12572, 5385, 267, 543, 1570, 5872, 24568, 741, 1909, 607, 27857, 585, 13260, 538, 2686, 1949, 563, 11328, 2958, 1308, 2686, 5385, 538, 840, 4211, 565, 3518, 1014, 12379, 334, 15330, 3821, 5129, 513, 1883, 1909, 538, 519, 5137, 540, 1949, 540, 3838, 19237, 267, 519, 2504, 540, 6237, 610, 968, 514, 1181, 1049, 892, 7499, 543, 11265, 6163, 267, 13346, 1914, 19205, 3270, 267, 543, 2242, 538, 2686, 2853, 543, 10096, 269, 3955, 2958, 1308, 19983, 538, 9147, 12379, 334, 15330, 3821, 8711, 267, 22851, 609, 267, 543, 1008, 10280, 2055, 22317, 547, 1620, 519, 1950, 2078, 1063, 5872, 267, 1914, 32241, 3157, 267, 543, 2686, 5647, 543, 1689, 538, 519, 3504, 7239, 543, 2686, 12583, 540, 12379, 334, 15330, 3821, 543, 786, 581, 540, 1719, 547, 24085, 267, 8059, 1235, 267, 543, 1148, 12206, 563, 6944, 1026, 12781, 281, 17722, 808, 269, 28199, 8633, 267, 700, 712, 9188, 14863, 541, 267, 21280, 2946, 30511, 15722, 15605, 667, 27927, 267, 27722, 3171, 514, 2006, 267, 6424, 6154, 14988, 267, 10906, 13343, 2946, 928, 345, 25661, 807, 267, 24053, 6424, 1261, 653, 267, 23715, 787, 631, 269, 670, 1638, 267, 30227, 808, 269, 918, 10109, 267, 8176, 700, 269, 674, 269, 26427, 267, 2349, 4545, 320, 661, 269, 5689, 18484, 5964, 267, 20717, 576, 29849, 267, 20908, 704, 715, 1408, 11420, 267, 3627, 631, 269, 667, 269, 623, 2129, 331, 267, 594, 341, 17505, 5211, 320, 267, 667, 269, 21563, 534, 5576, 2801, 742, 518, 267, 21208, 20393, 5576, 592, 2763, 454, 4504, 1493, 2920, 13659, 6645, 519, 1650, 540, 12832, 31804, 10224, 4638, 8573, 2074, 15628, 945, 5280, 547, 16765, 1248, 519, 1034, 1065, 4809, 24431, 617, 3912, 1876, 538, 519, 17113, 269, 634, 1876, 729, 5293, 16172, 1310, 519, 9995, 21442, 553, 4503, 1379, 538, 476, 1960, 271, 543, 267, 547, 519, 9983, 540, 1082, 267, 729, 4735, 4705, 538, 476, 1220, 278, 269, 769, 713, 12667, 17801, 2762, 267, 595, 2096, 2940, 1215, 324, 23607, 875, 2199, 15628, 7059, 2518, 27964, 3823, 1480, 2924, 543, 3961, 6214, 609, 519, 20314, 4293, 540, 3232, 1272, 538, 12832, 31804, 7699, 269, 9282, 789, 941, 7620, 838, 13899, 676, 519, 24431, 617, 3912, 2268, 267, 15628, 8179, 547, 1689, 711, 1152, 519, 1876, 855, 849, 2528, 269, 1215, 324, 11363, 519, 1114, 2157, 540, 6304, 1141, 17933, 4386, 267, 689, 2527, 2173, 4215, 19093, 543, 1857, 17600, 547, 11401, 540, 804, 663, 32347, 9637, 268, 24597, 2516, 269, 2701, 5205, 519, 911, 341, 5661, 540, 20210, 3197, 538, 513, 5458, 569, 3811, 22007, 523, 334, 767, 320, 267, 15244, 519, 20748, 13253, 1369, 519, 6560, 585, 4638, 2924, 267, 543, 27711, 519, 9739, 540, 1346, 7722, 538, 834, 2041, 5765, 257, 24139, 553, 543, 28305, 525, 538, 4207, 12832, 31804, 7699, 563, 763, 6816, 540, 23452, 700, 10212, 720, 454, 13202, 564, 5062, 3849, 4461, 2160, 540, 14151, 4964, 267, 476, 1220, 271, 7732, 540, 6837, 13662, 32579, 274, 5861, 28091, 296, 5952, 476, 1220, 271, 1923, 1546, 28838, 27252, 476, 279, 1556, 269, 7918, 454, 2668, 1547, 1547, 693, 519, 6816, 540, 23452, 700, 10212, 720, 267, 789, 1899, 909, 912, 1492, 20374, 267, 519, 4503, 1453, 267, 519, 2423, 327, 11301, 454, 1993, 2413, 1272, 269, 898, 781, 707, 3983, 9939, 547, 5884, 538, 519, 4411, 454, 342, 1513, 540, 1978, 6082, 269, 1809, 538, 519, 1899, 693, 1133, 13094, 454, 289, 12000, 720, 267, 1100, 835, 22378, 985, 585, 519, 20994, 1158, 454, 7474, 2366, 873, 1934, 1547, 1547, 1547, 4840, 763, 26884, 269, 634, 31345, 269, 634, 17512, 1881, 9601, 540, 12250, 1242, 1202, 534, 640, 269, 10435, 29412, 4296, 1063, 519, 2123, 543, 519, 2797, 267, 3967, 564, 5062, 3849, 4461, 14405, 1007, 3515, 538, 519, 4655, 1063, 519, 1007, 543, 2025, 10600, 607, 1352, 28196, 1149, 519, 6560, 547, 2611, 1480, 563, 1607, 8366, 20421, 4015, 540, 6965, 585, 2471, 9670, 6402, 1851, 9583, 20775, 3029, 540, 5208, 543, 4187, 538, 2221, 781, 1158, 281, 2112, 538, 6239, 3013, 267, 28407, 1996, 7186, 267, 519, 6370, 3033, 540, 519, 23103, 269, 5062, 3849, 4461, 859, 10280, 519, 21494, 640, 540, 4948, 6228, 607, 1352, 15920, 856, 513, 1007, 1289, 585, 1514, 5539, 563, 763, 6816, 540, 23452, 700, 10212, 720, 568, 519, 6965, 16771, 540, 519, 476, 1960, 280, 3689, 3883, 22952, 6735, 540, 519, 7111, 19536, 262, 17781, 540, 519, 17113, 563, 2005, 10719, 2456, 540, 16869, 1047, 733, 1742, 602, 4966, 543, 6791, 5129, 4909, 5107, 538, 519, 5824, 1977, 12019, 2782, 269, 2755, 2757, 12019, 2782, 12583, 540, 519, 3148, 723, 8947, 20320, 267, 4987, 267, 543, 4108, 4238, 543, 811, 2487, 2090, 723, 2625, 539, 519, 2686, 7516, 540, 519, 4655, 267, 519, 4966, 945, 13822, 519, 1445, 540, 713, 4320, 23012, 891, 6688, 269, 4014, 789, 1419, 17814, 2933, 607, 6569, 689, 6214, 267, 741, 960, 8329, 547, 519, 1883, 23786, 989, 31789, 540, 519, 1554, 269, 634, 10092, 14612, 676, 519, 4966, 538, 713, 4320, 711, 1152, 21986, 539, 5824, 3013, 543, 4448, 5824, 3013, 547, 519, 6820, 3345, 267, 789, 849, 12701, 2757, 12225, 3098, 540, 519, 5824, 1977, 12019, 2782, 547, 1397, 875, 2199, 4966, 538, 519, 2038, 14206, 2540, 9788, 519, 5748, 585, 2022, 1700, 13328, 2782, 4083, 1646, 3785, 267, 543, 875, 12019, 2782, 1702, 540, 2257, 267, 2029, 267, 543, 519, 1604, 5170, 547, 1764, 938, 1158, 2221, 269, 1452, 3594, 26595, 2825, 1686, 543, 519, 1686, 540, 2257, 543, 2029, 547, 8044, 585, 519, 2956, 540, 6791, 538, 519, 5824, 1977, 12019, 2782, 269, 0, 24993, 281, 8734, 476, 1015, 267, 476, 1708, 271, 454, 26452, 17024, 540, 519, 2250, 723, 9619, 519, 30883, 24207, 1909, 540, 2048, 845, 685, 538, 1480, 8226, 269, 3245, 18573, 779, 3069, 540, 3029, 547, 1261, 728, 1375, 518, 779, 9861, 543, 5384, 267, 519, 1523, 540, 1106, 3964, 3294, 607, 606, 1898, 851, 540, 1373, 607, 971, 269, 898, 568, 1152, 998, 519, 8226, 540, 3029, 602, 1847, 883, 543, 856, 540, 1373, 602, 649, 666, 2911, 827, 610, 1995, 519, 1158, 538, 1022, 6209, 1259, 269, 2334, 568, 547, 2161, 267, 1641, 2032, 538, 3294, 4667, 547, 581, 13087, 676, 938, 2702, 547, 12497, 1125, 1106, 269, 1809, 568, 621, 519, 2013, 602, 971, 513, 1641, 2032, 568, 1152, 3908, 547, 9583, 21245, 5214, 7919, 286, 16393, 621, 581, 602, 1641, 2032, 1223, 581, 11911, 547, 606, 538, 534, 1493, 1843, 952, 621, 941, 547, 8858, 513, 7344, 26256, 714, 766, 540, 1106, 888, 22746, 513, 10206, 540, 606, 538, 534, 1493, 17748, 540, 1106, 1131, 20747, 519, 2085, 6040, 27524, 30315, 1063, 5214, 15514, 2033, 640, 543, 2577, 28649, 10956, 1464, 269, 1215, 1281, 835, 32230, 540, 513, 3684, 630, 320, 15866, 10956, 762, 3678, 26293, 264, 602, 630, 4944, 2632, 24345, 264, 21437, 922, 1378, 3889, 540, 1106, 543, 2495, 4830, 540, 938, 1378, 5121, 540, 4191, 543, 1702, 888, 1103, 1179, 6819, 519, 7872, 540, 971, 513, 20747, 2590, 630, 24992, 15514, 2033, 640, 543, 10956, 1464, 1070, 10496, 13196, 14216, 5090, 320, 267, 513, 3943, 2022, 3613, 24780, 626, 267, 632, 2114, 621, 2556, 585, 519, 2680, 630, 7474, 799, 568, 8345, 282, 519, 8226, 540, 513, 1106, 9676, 856, 540, 942, 264, 543, 519, 3684, 630, 1492, 2301, 762, 5752, 540, 606, 13128, 17279, 264, 547, 581, 22885, 607, 538, 1673, 1170, 1539, 762, 2035, 269, 1717, 267, 621, 568, 811, 982, 2922, 547, 2161, 602, 519, 2035, 540, 2680, 543, 3684, 616, 2484, 689, 1373, 15095, 2221, 269, 1358, 538, 1249, 1459, 2933, 547, 581, 1884, 514, 5669, 538, 2470, 19962, 547, 938, 17748, 540, 519, 2680, 607, 1945, 13737, 543, 1875, 3146, 701, 23534, 269, 14216, 5090, 320, 27498, 713, 13737, 640, 540, 519, 2680, 547, 581, 513, 8984, 540, 519, 2713, 282, 519, 9228, 1106, 25457, 513, 1880, 14815, 630, 534, 1198, 610, 513, 4743, 264, 799, 5555, 16358, 3278, 607, 5214, 1570, 269, 634, 3684, 6697, 540, 971, 513, 16358, 1436, 568, 1759, 593, 17279, 282, 968, 2005, 1496, 1492, 3684, 316, 568, 30758, 267, 602, 568, 267, 547, 16196, 791, 817, 1947, 267, 6650, 1061, 4601, 267, 1510, 1418, 610, 5214, 640, 267, 519, 4607, 12981, 269, 769, 513, 1533, 540, 16562, 652, 4185, 267, 621, 1131, 23491, 610, 4971, 513, 2301, 762, 1982, 1510, 1860, 610, 10081, 8584, 977, 542, 267, 899, 606, 967, 27075, 3678, 26293, 892, 630, 21413, 1325, 756, 328, 267, 533, 269, 476, 10463, 1916, 302, 9405, 547, 519, 3684, 779, 1533, 540, 967, 29924, 267, 922, 9583, 13128, 2470, 568, 711, 519, 1482, 607, 519, 15514, 2033, 640, 11911, 547, 5214, 1272, 269, 901, 22424, 520, 2225, 5956, 547, 581, 7805, 607, 835, 14405, 10665, 1759, 593, 15514, 2033, 640, 1063, 891, 1079, 2035, 281, 5214, 267, 2713, 13737, 640, 630, 1492, 2680, 264, 543, 22803, 267, 4666, 5203, 1275, 630, 1889, 22817, 17279, 1040, 14216, 5090, 320, 3081, 602, 267, 952, 649, 666, 1118, 891, 1079, 2035, 15095, 267, 968, 9767, 666, 914, 711, 1152, 630, 663, 594, 31274, 593, 711, 1152, 264, 786, 835, 723, 3812, 513, 1007, 7954, 267, 606, 796, 515, 731, 12497, 1106, 269, 769, 5168, 267, 1996, 519, 4282, 543, 693, 519, 16880, 540, 938, 1459, 7399, 267, 713, 1007, 4137, 1131, 18613, 513, 20599, 892, 630, 21413, 1325, 756, 328, 267, 533, 269, 476, 10619, 1040, 769, 2679, 606, 5841, 8849, 6189, 547, 12446, 2509, 513, 2577, 28649, 17748, 540, 1106, 267, 519, 6117, 20932, 568, 547, 7654, 13918, 513, 17356, 1063, 891, 2035, 2016, 519, 7182, 540, 8106, 7384, 1949, 269, 1548, 12042, 1229, 971, 513, 17356, 689, 2479, 1570, 1944, 538, 2413, 6639, 10850, 4667, 547, 581, 1945, 602, 29620, 519, 9759, 540, 519, 3684, 267, 922, 9577, 1275, 563, 31262, 1275, 3587, 606, 5817, 3586, 602, 4025, 519, 3684, 547, 581, 538, 11685, 547, 1018, 779, 3544, 621, 543, 835, 4171, 1016, 11437, 1131, 1711, 513, 28230, 538, 513, 1158, 602, 8032, 922, 3961, 1996, 519, 10206, 540, 519, 3684, 607, 513, 6198, 1907, 269, 1306, 24534, 607, 621, 949, 3100, 689, 519, 12880, 3351, 9107, 29459, 602, 835, 1131, 723, 1100, 2601, 547, 711, 1118, 946, 540, 3615, 602, 941, 3812, 547, 581, 1500, 946, 540, 267, 621, 568, 1271, 547, 11760, 602, 26471, 513, 1880, 1599, 630, 1492, 1439, 2509, 799, 606, 1843, 568, 1031, 607, 513, 1797, 264, 1098, 335, 2231, 10342, 3294, 547, 581, 513, 10795, 3196, 602, 791, 5142, 976, 519, 1843, 689, 2479, 1140, 8724, 513, 3677, 1305, 540, 7399, 543, 19383, 602, 519, 1843, 1223, 5732, 21391, 269, 774, 0, 763, 15740, 4975, 7027 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 763, 1855, 25393, 5359, 593, 630, 528, 267, 693, 2547, 267, 28197, 654, 1600, 30778, 8989, 593, 264, 519, 546, 597, 580, 17156, 10825, 519, 2622, 22453, 5680, 547, 4025, 1100, 4950, 814, 8854, 1354, 912, 2108, 2414, 948, 5512, 519, 5859, 267, 5616, 814, 1044, 8380, 1927, 606, 5117, 540, 1970, 21057, 16389, 4881, 15692, 593, 1970, 27703, 31110, 25600, 2223, 654, 1600, 1767, 269, 968, 305, 1430, 982, 2757, 5989, 267, 5616, 779, 5365, 786, 581, 5645, 676, 1164, 268, 5306, 3363, 5867, 1107, 31148, 543, 1025, 31663, 1107, 602, 666, 10141, 547, 2127, 540, 7366, 540, 4009, 21240, 3034, 11386, 814, 513, 3395, 3950, 2594, 540, 16459, 922, 1378, 5121, 282, 538, 476, 1001, 271, 621, 4603, 539, 609, 31076, 1239, 6786, 538, 519, 5624, 30694, 676, 7641, 5121, 267, 543, 621, 814, 2094, 9450, 602, 10872, 547, 4000, 269, 634, 2754, 568, 849, 16459, 922, 1378, 2706, 9724, 20249, 29577, 3060, 538, 519, 29268, 267, 1572, 5616, 27438, 269, 0, 19465, 513, 16200, 7690, 281, 27759, 585, 594, 3008, 689, 19974, 454, 763, 4095, 8556, 13577, 6796, 630, 296, 3008, 264, 568, 835, 540, 519, 1034, 20380, 543, 8179, 8584, 1123, 4876, 3681, 538, 3127, 269, 1717, 267, 25305, 519, 594, 3008, 981, 568, 711, 2653, 267, 543, 621, 3340, 513, 2603, 540, 2182, 960, 543, 11428, 269, 898, 568, 2760, 1932, 2038, 547, 1376, 8600, 585, 713, 981, 267, 2523, 952, 596, 723, 17050, 540, 4742, 606, 594, 3008, 11464, 269, 8490, 513, 2178, 5748, 585, 519, 594, 3008, 981, 689, 6689, 666, 948, 596, 538, 1082, 2081, 269, 898, 666, 2285, 596, 606, 6316, 936, 1866, 267, 948, 596, 1174, 519, 981, 1732, 267, 543, 5965, 596, 609, 513, 14820, 5078, 585, 513, 4876, 538, 1857, 3028, 269, 769, 713, 2022, 267, 649, 786, 1865, 930, 2500, 2081, 538, 799, 596, 666, 1376, 8600, 585, 519, 594, 3008, 981, 689, 513, 1762, 2085, 267, 543, 875, 713, 666, 948, 596, 3035, 707, 3853, 538, 519, 2104, 563, 295, 8582, 9215, 28217, 303, 22664, 11123, 772, 28903, 12327, 4456, 20978, 8863, 6579, 291, 9816, 7495, 454, 272, 269, 4985, 281, 634, 2956, 540, 4358, 2038, 585, 594, 3008, 7041, 454, 7072, 281, 634, 2956, 540, 4358, 2038, 585, 594, 3008, 7041, 454, 27609, 532, 585, 519, 4095, 8556, 13577, 6796, 630, 296, 3008, 264, 568, 513, 11826, 543, 4101, 3460, 602, 3340, 11428, 267, 16177, 267, 543, 3573, 1702, 269, 3509, 8321, 1218, 5326, 540, 21757, 519, 20380, 594, 3008, 981, 543, 7674, 519, 4182, 538, 513, 6209, 543, 26374, 1259, 269, 1717, 267, 1018, 5036, 6306, 3811, 10457, 689, 519, 1964, 568, 1419, 519, 7041, 789, 22738, 689, 606, 2038, 2085, 563, 15900, 1775, 553, 3341, 691, 542, 5383, 268, 27759, 585, 594, 3008, 689, 19974, 454, 28275, 2038, 585, 594, 3008, 7041, 666, 1683, 14971, 10457, 609, 513, 1713, 5413, 269, 898, 2636, 873, 547, 2482, 513, 2178, 5748, 540, 1702, 267, 1020, 1898, 1983, 267, 543, 11349, 519, 1318, 14820, 602, 568, 2629, 585, 1967, 538, 713, 3810, 8013, 981, 563, 3528, 4098, 519, 594, 3008, 7041, 3460, 1282, 6689, 267, 10457, 723, 519, 4316, 547, 1628, 513, 3102, 1620, 540, 1585, 5396, 602, 1106, 519, 4295, 540, 519, 594, 3008, 21038, 269, 901, 2038, 4598, 2337, 873, 1020, 513, 2620, 268, 549, 6838, 1702, 3490, 267, 799, 666, 581, 2417, 10114, 3293, 543, 9450, 607, 789, 3356, 998, 519, 1296, 563, 11101, 267, 4358, 2038, 2636, 8321, 1218, 547, 9772, 2500, 1353, 6208, 543, 942, 2359, 1983, 269, 634, 2038, 1296, 1683, 513, 15417, 2666, 585, 519, 1646, 540, 9015, 267, 1445, 267, 543, 16177, 267, 799, 616, 16832, 7907, 585, 4896, 17935, 547, 11523, 519, 594, 3008, 981, 269, 1635, 3824, 20995, 891, 6208, 689, 6689, 267, 10457, 666, 11349, 513, 2178, 960, 2802, 545, 602, 786, 4196, 873, 1134, 2429, 741, 7041, 3460, 563, 5194, 2629, 2460, 540, 4358, 2038, 585, 594, 3008, 7041, 568, 519, 4316, 547, 2263, 513, 2647, 2039, 540, 29599, 2238, 543, 3309, 4610, 540, 1702, 269, 19974, 568, 513, 942, 950, 7279, 568, 693, 922, 8445, 267, 543, 1762, 8186, 616, 11235, 547, 10110, 1344, 689, 1585, 2959, 269, 1635, 8716, 513, 23499, 1935, 547, 1565, 267, 14971, 10457, 666, 1020, 513, 11455, 1620, 540, 519, 1158, 267, 799, 568, 1898, 585, 4597, 532, 538, 519, 594, 3008, 981, 602, 4255, 10457, 593, 741, 4656, 540, 3309, 5396, 563, 13010, 267, 4358, 2038, 2636, 10457, 547, 3343, 5583, 543, 30023, 689, 4810, 4648, 267, 3610, 267, 543, 594, 3008, 10492, 269, 1452, 23003, 666, 1683, 3407, 4030, 267, 4363, 3617, 1353, 2326, 267, 543, 2709, 5583, 593, 519, 1655, 2994, 547, 11523, 519, 981, 269, 1635, 9591, 891, 3347, 2038, 593, 267, 10457, 666, 4324, 689, 519, 7326, 543, 6791, 540, 1346, 945, 723, 2907, 23498, 519, 594, 3008, 981, 267, 7551, 11543, 513, 8013, 6316, 563, 1103, 3932, 267, 4358, 2038, 585, 594, 3008, 7041, 23933, 519, 5748, 585, 1967, 269, 898, 2488, 14971, 10457, 609, 519, 4316, 547, 1628, 513, 2178, 1702, 3490, 267, 1020, 1898, 1983, 267, 543, 6536, 519, 1318, 14820, 269, 1635, 4098, 741, 3460, 689, 6689, 267, 10457, 666, 12260, 741, 2407, 1761, 543, 2333, 741, 8458, 540, 8236, 741, 5326, 540, 7674, 519, 4182, 607, 606, 594, 3008, 11464, 563, 273, 269, 4980, 22899, 513, 2542, 4356, 689, 6689, 454, 290, 738, 22899, 513, 2542, 4356, 689, 6689, 568, 513, 2629, 1900, 538, 2679, 513, 2178, 5748, 585, 8600, 585, 519, 4095, 8556, 13577, 7896, 630, 296, 3008, 264, 11400, 269, 7335, 711, 1152, 10597, 6863, 543, 1893, 1983, 855, 849, 3376, 839, 835, 779, 1702, 543, 1620, 540, 1585, 5396, 563, 4504, 18166, 1453, 547, 2835, 693, 606, 2038, 2085, 2337, 538, 3384, 513, 15400, 2648, 585, 2542, 269, 14268, 666, 1376, 676, 3246, 2085, 29003, 2835, 543, 2542, 2326, 602, 533, 1664, 741, 1126, 779, 1719, 269, 6787, 621, 779, 21557, 2984, 267, 4605, 2835, 267, 610, 2502, 9089, 267, 519, 3804, 568, 547, 1118, 2542, 606, 11791, 543, 2834, 2534, 563, 2026, 1453, 1332, 4587, 267, 5000, 873, 547, 2263, 1114, 11964, 543, 5396, 269, 901, 786, 711, 1152, 12954, 741, 7279, 855, 849, 16616, 873, 547, 513, 2647, 2039, 540, 2093, 267, 5380, 267, 543, 1344, 269, 11559, 873, 547, 1224, 14786, 267, 17476, 267, 543, 1875, 27395, 2835, 547, 3251, 8242, 609, 1699, 12602, 543, 3986, 741, 2489, 1702, 563, 30509, 689, 2757, 2835, 267, 2029, 3091, 1585, 3059, 5867, 543, 552, 268, 9248, 602, 666, 7001, 513, 1126, 779, 3007, 269, 22982, 891, 2200, 547, 1118, 2542, 7317, 543, 2502, 269, 3958, 267, 3237, 666, 1305, 11735, 6131, 2542, 942, 610, 3715, 1920, 2542, 7886, 547, 6536, 513, 2542, 2528, 1369, 519, 7622, 563, 1103, 1529, 322, 908, 513, 2542, 4356, 689, 6689, 23933, 519, 5748, 585, 15400, 1565, 269, 898, 2337, 1020, 2565, 3206, 267, 10763, 1983, 267, 543, 519, 2702, 547, 10146, 1950, 2093, 1107, 782, 1898, 7907, 585, 14971, 594, 3008, 10457, 269, 1924, 267, 5000, 707, 1126, 547, 10544, 513, 1433, 543, 7832, 593, 606, 3078, 3460, 540, 1702, 543, 9345, 689, 513, 1762, 2085, 563, 274, 269, 15043, 513, 2178, 4081, 5748, 454, 29753, 513, 2178, 4081, 5748, 568, 2629, 585, 14971, 594, 3008, 630, 24465, 8556, 13577, 6796, 264, 10457, 267, 4358, 689, 6689, 269, 634, 3460, 2509, 4742, 606, 594, 3008, 11464, 568, 4101, 543, 3340, 513, 2620, 1620, 540, 1585, 5396, 267, 2565, 3206, 5759, 267, 543, 2500, 1966, 9010, 1983, 563, 2414, 1628, 713, 5748, 267, 621, 568, 1898, 547, 1445, 593, 513, 1134, 25454, 2069, 269, 18964, 1453, 547, 1020, 513, 2648, 585, 1565, 543, 5083, 532, 1702, 568, 1883, 269, 14268, 543, 7855, 666, 6536, 713, 676, 3246, 513, 20009, 1565, 1604, 693, 1753, 543, 538, 3506, 267, 1141, 1453, 616, 9415, 547, 2263, 1114, 5396, 267, 2307, 2055, 267, 543, 4497, 538, 6209, 5717, 563, 10387, 3508, 1944, 519, 2956, 540, 5396, 971, 607, 6128, 267, 2257, 267, 1514, 9443, 267, 543, 4654, 568, 4105, 269, 1452, 5396, 1106, 519, 22449, 540, 519, 594, 3008, 6514, 21038, 543, 513, 2178, 1620, 540, 891, 3584, 786, 2285, 10457, 513, 1713, 5413, 1282, 741, 7041, 1296, 269, 898, 568, 19624, 547, 5000, 1453, 547, 8362, 7119, 538, 1362, 267, 2347, 10467, 29367, 267, 543, 3343, 3606, 2200, 610, 23468, 952, 2877, 563, 13010, 267, 3384, 2565, 3206, 1983, 689, 606, 2038, 2085, 568, 1898, 269, 18964, 1453, 547, 1589, 10446, 267, 5659, 1344, 267, 543, 2721, 9266, 8753, 786, 3565, 547, 741, 2949, 4081, 2208, 269, 12056, 538, 2238, 602, 3895, 1966, 9010, 267, 971, 607, 13410, 267, 678, 26680, 267, 543, 2979, 19194, 267, 666, 948, 32260, 891, 1983, 563, 30509, 689, 6101, 2069, 267, 4598, 547, 3063, 268, 22793, 2238, 568, 8449, 1271, 269, 18964, 1453, 547, 7119, 538, 5026, 267, 6575, 267, 2575, 267, 543, 824, 12348, 2337, 538, 519, 11455, 1646, 540, 741, 14789, 269, 1452, 2238, 3986, 5876, 267, 9015, 267, 16542, 267, 543, 942, 2359, 1983, 267, 799, 616, 17170, 7907, 585, 1022, 594, 3008, 8321, 656, 563, 1103, 3932, 267, 2679, 513, 2178, 4081, 5748, 689, 6689, 568, 513, 2629, 1900, 2509, 8600, 585, 519, 594, 3008, 6514, 269, 1635, 2519, 593, 513, 1134, 25454, 2069, 267, 10771, 1883, 5396, 267, 14637, 2565, 3206, 1983, 267, 543, 8716, 7589, 538, 3063, 268, 22793, 2238, 267, 3237, 543, 7855, 666, 2482, 519, 24536, 585, 2104, 1967, 538, 519, 594, 3008, 3460, 563, 275, 269, 18964, 2565, 3206, 543, 1966, 9010, 1983, 454, 21886, 15758, 2565, 3206, 543, 1966, 9010, 1983, 689, 513, 1762, 2085, 568, 2629, 950, 8600, 585, 519, 4095, 8556, 13577, 7896, 630, 296, 3008, 264, 6514, 269, 901, 20380, 6514, 3340, 10457, 547, 711, 1152, 4865, 513, 2178, 1702, 3490, 855, 849, 519, 2702, 547, 5659, 1950, 3871, 543, 15974, 2500, 3435, 563, 29261, 543, 7855, 1404, 513, 4105, 1909, 538, 14637, 891, 1983, 538, 1453, 269, 5502, 540, 9003, 2519, 593, 887, 974, 8357, 1436, 267, 621, 568, 1271, 547, 1683, 3255, 585, 1453, 547, 1589, 9691, 543, 1020, 1966, 9010, 5759, 269, 901, 666, 581, 2944, 998, 1585, 2238, 971, 607, 13410, 267, 678, 26680, 267, 9840, 267, 543, 1483, 3734, 7653, 563, 8777, 1645, 1453, 538, 1930, 25804, 5717, 543, 6998, 2219, 4538, 2055, 666, 12954, 741, 10763, 3206, 269, 11559, 873, 547, 2263, 1114, 5380, 267, 9260, 5294, 543, 931, 267, 543, 2015, 4244, 3435, 269, 901, 786, 3986, 741, 2702, 547, 1589, 9691, 543, 1118, 5483, 3664, 563, 19370, 9010, 1983, 666, 581, 2919, 998, 2238, 602, 2154, 9266, 7744, 543, 3860, 3206, 269, 11559, 1453, 547, 4194, 13410, 267, 4497, 538, 4640, 3756, 267, 543, 7119, 538, 1895, 3785, 602, 4125, 4466, 3435, 547, 1483, 8996, 2591, 269, 1635, 20392, 873, 547, 3309, 1966, 9010, 7653, 267, 789, 786, 1451, 547, 1935, 2042, 18928, 267, 2736, 873, 1524, 883, 19242, 2694, 267, 543, 1265, 5499, 3435, 563, 11101, 267, 3246, 1453, 609, 513, 18398, 1565, 1604, 602, 7512, 7279, 543, 3408, 666, 6536, 741, 17271, 8404, 547, 3343, 1702, 269, 11559, 873, 547, 2307, 2055, 267, 2932, 1382, 267, 543, 4497, 538, 4830, 1565, 269, 901, 786, 711, 1152, 15052, 741, 1620, 540, 1585, 5396, 855, 849, 11349, 513, 4356, 540, 15400, 1565, 1107, 513, 2629, 16023, 585, 1967, 538, 519, 594, 3008, 6514, 563, 3528, 10771, 2565, 3206, 543, 1966, 9010, 1983, 689, 513, 1762, 2085, 267, 1453, 786, 1020, 513, 4396, 5748, 602, 786, 4324, 873, 2429, 741, 4081, 3460, 543, 3564, 269, 1452, 1983, 616, 711, 1152, 1898, 585, 4597, 532, 538, 519, 594, 3008, 6514, 855, 849, 585, 4742, 1134, 25454, 2043, 945, 666, 3565, 9797, 547, 2486, 563, 276, 269, 715, 4669, 1005, 513, 8049, 543, 22679, 529, 1438, 14820, 454, 301, 4669, 1005, 513, 8049, 543, 22679, 529, 1438, 14820, 568, 1898, 950, 8600, 585, 519, 594, 3008, 630, 24465, 8556, 13577, 6796, 264, 689, 6689, 269, 901, 5748, 666, 7494, 3565, 547, 707, 2949, 1967, 538, 519, 1279, 2196, 563, 21886, 15758, 1453, 547, 2307, 2055, 267, 2263, 1114, 3584, 267, 543, 3343, 1702, 3564, 9499, 568, 2629, 269, 14268, 543, 7855, 666, 1404, 513, 1713, 1909, 538, 5807, 513, 2631, 540, 7279, 676, 3246, 606, 1604, 602, 22262, 1565, 543, 2565, 3206, 563, 3080, 2500 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 354, 420, 488, 480, 30536, 7511, 9463, 367, 31878, 21550, 495, 7511, 25520, 476, 476, 7511, 31006, 27962, 29219, 454, 1038, 12262, 19867, 356, 27310, 17958, 28793, 476, 1911, 276, 916, 476, 13127, 492, 509, 18713, 510, 15159, 24731, 27064, 364, 29072, 23523, 486, 14035, 504, 19404, 491, 14035, 491, 7511, 18777, 350, 28997, 501, 8147, 23746, 12916, 379, 17958, 20693, 357, 26233, 479, 25335, 482, 10254, 496, 25335, 352, 19540, 367, 454, 1038, 952, 20172, 2652, 14275, 264, 2132, 476, 271, 3248, 1038, 703, 1130, 815, 476, 271, 3248, 1038, 952, 20172, 16000, 11203, 14275, 264, 1130, 6834, 3775, 20172, 16000, 16000, 264, 1341, 3775, 20172, 16000, 16192, 11850, 1038, 952, 20172, 16192, 11203, 14275, 264, 1130, 6834, 3775, 20172, 16192, 16000, 264, 1341, 3775, 20172, 16192, 16192, 11850, 1038, 2132, 4569, 27982, 263, 13681, 20172, 16000, 264, 1341, 3775, 20172, 16192, 1070, 1998, 1341, 3597, 22183, 11850, 1038, 2608, 270, 692, 2260, 20693, 357, 26233, 479, 25335, 482, 10254, 496, 454, 1038, 12262, 26233, 507, 420, 371, 363, 16088, 454, 1038, 12262, 27936, 18263, 487, 22047, 12255, 14756, 482, 637, 267, 421, 499, 379, 18021, 355, 20992, 273, 267, 637, 314, 271, 316, 23989, 419, 353, 374, 21251, 418, 488, 351, 13644, 354, 420, 488, 480, 30536, 23746, 420, 492, 371, 23523, 501, 31006, 27962, 29219, 267, 637, 314, 272, 316, 23989, 419, 353, 374, 418, 488, 351, 20693, 360, 13644, 354, 420, 488, 480, 30536, 23746, 420, 492, 371, 23523, 501, 31006, 27962, 29219, 454, 1038, 12262, 25913, 25622, 3559, 704, 16868, 264, 418, 482, 493, 20992, 16088, 21928, 23284, 337, 20992, 21550, 373, 420, 488, 480, 30536, 7511, 21550, 495, 18809, 267, 13213, 498, 18713, 508, 418, 488, 351, 20693, 360, 21550, 373, 420, 488, 480, 30536, 4970, 492, 21251, 418, 488, 351, 20693, 360, 21550, 373, 420, 488, 480, 30536, 23746, 420, 492, 371, 23523, 501, 7511, 31006, 27962, 29219, 454, 18411, 258, 9502, 585, 513, 9352, 3529, 6843, 563, 258, 1362, 30741, 912, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1535, 2187, 258, 1363, 1582, 22183, 815, 1535, 454, 258, 1363, 1582, 16000, 815, 7183, 454, 258, 1363, 1582, 16192, 815, 7183, 692, 5035, 8827, 912, 825, 1219, 3775, 4311, 267, 3597, 281, 30741, 264, 9847, 703, 912, 1038, 759, 284, 1345, 269, 3559, 704, 20172, 994, 1038, 2132, 3193, 263, 637, 994, 825, 1219, 25961, 4311, 267, 10174, 2187, 1038, 952, 711, 3597, 281, 258, 20001, 373, 419, 499, 490, 23521, 350, 10524, 370, 8147, 337, 20992, 333, 1638, 28793, 8147, 420, 371, 367, 24731, 454, 2018, 2132, 1496, 271, 267, 271, 2639, 1038, 1948, 28098, 30678, 23284, 337, 16000, 20992, 21550, 373, 7511, 21550, 495, 8147, 18777, 350, 28997, 501, 418, 488, 351, 20693, 360, 21550, 373, 420, 488, 480, 30536, 16868, 16000, 264, 4970, 492, 21251, 418, 488, 351, 20693, 360, 21550, 373, 420, 488, 480, 30536, 23746, 420, 492, 371, 23523, 501, 31006, 27962, 19404, 495, 30903, 507, 269, 3097, 1038, 1948, 2451, 314, 271, 316, 10254, 503, 20992, 21251, 418, 488, 351, 337, 7456, 337, 1111, 23746, 420, 492, 371, 23523, 501, 7511, 31006, 27962, 19404, 495, 30903, 507, 267, 3847, 314, 272, 316, 10254, 503, 20992, 418, 488, 351, 20693, 360, 337, 16000, 23746, 420, 492, 371, 23523, 501, 7511, 31006, 27962, 19404, 495, 30903, 507, 476, 476, 23284, 31284, 2431, 26514, 476, 26166, 22909, 494, 12571, 490, 419, 494, 484, 454, 1038, 2451, 284, 1345, 269, 3559, 704, 20172, 16000, 994, 1038, 1318, 284, 1345, 269, 3559, 704, 20172, 16192, 994, 1038, 18178, 284, 10946, 263, 3847, 11924, 10946, 263, 2431, 264, 258, 18777, 350, 28997, 501, 21251, 418, 488, 351, 20693, 360, 25051, 497, 31176, 491, 21550, 373, 420, 488, 480, 30536, 23746, 420, 492, 371, 23523, 501, 7511, 31006, 27962, 19404, 495, 30903, 507, 263, 421, 480, 352, 18263, 486, 10429, 370, 26266, 355, 9463, 367, 31878, 21550, 495, 23746, 23284, 421, 504, 493, 28032, 379, 418, 488, 351, 994, 1038, 3775, 284, 10174, 22183, 266, 3847, 314, 271, 27994, 2431, 314, 271, 316, 258, 18777, 350, 28997, 501, 420, 489, 354, 418, 488, 351, 20693, 360, 21550, 373, 420, 488, 480, 30536, 23746, 420, 492, 371, 23523, 501, 7511, 31006, 27962, 19404, 495, 30903, 507, 263, 27882, 353, 28793, 267, 10429, 370, 26266, 355, 9463, 367, 31878, 21550, 495, 7511, 21550, 373, 420, 488, 480, 30536, 21251, 420, 25693, 420, 351, 360, 418, 488, 351, 994, 1038, 2132, 1496, 12921, 760, 267, 13681, 316, 0, 18411, 21550, 373, 29004, 362, 30006, 493, 20721, 354, 17276, 364, 498, 418, 372, 358, 476, 28578, 23989, 8147, 13644, 371, 19404, 491, 13161, 364, 13200, 509, 29873, 22047, 28578, 23989, 8147, 28098, 18021, 498, 12916, 491, 419, 377, 362, 7511, 27447, 24662, 15159, 12916, 510, 421, 506, 478, 28884, 19540, 491, 419, 511, 487, 23523, 483, 14035, 504, 18263, 483, 418, 372, 358, 18021, 355, 19867, 491, 25263, 504, 22287, 485, 421, 360, 502, 7511, 14035, 358, 12255, 12486, 417, 28187, 31563, 18263, 489, 12571, 492, 421, 25693, 21251, 25263, 504, 22287, 485, 421, 360, 502, 8147, 13644, 371, 27447, 24662, 476, 271, 17276, 507, 354, 28786, 418, 505, 379, 25707, 28032, 489, 417, 28187, 8147, 14756, 503, 27936, 22047, 28578, 23989, 5210, 815, 1496, 10463, 267, 476, 10619, 267, 476, 4037, 267, 476, 10170, 267, 476, 7597, 267, 476, 7761, 267, 476, 10602, 267, 476, 10463, 316, 8147, 12916, 510, 7511, 27447, 24731, 18021, 498, 13644, 354, 15159, 1496, 272, 267, 476, 272, 267, 476, 275, 267, 476, 273, 267, 476, 272, 267, 476, 272, 267, 476, 271, 267, 476, 271, 316, 25707, 418, 493, 494, 419, 353, 374, 16088, 418, 364, 498, 418, 372, 358, 476, 28578, 23989, 421, 499, 379, 18021, 355, 7511, 420, 490, 481, 18713, 368, 15159, 1496, 272, 267, 476, 4968, 876, 316, 12486, 30006, 493, 14748, 418, 364, 498, 418, 372, 358, 7511, 29219, 7511, 421, 25693, 15159, 1496, 1789, 267, 476, 1911, 316, 29635, 490, 481, 18713, 368, 19540, 483, 7511, 10533, 368, 12255, 25707, 18411, 18411, 26233, 507, 420, 371, 363, 16088, 454, 14756, 368, 418, 488, 353, 20881, 496, 16583, 493, 21550, 486, 8147, 12571, 492, 24662, 21550, 486, 7511, 30317, 27381, 510, 26233, 375, 30006, 498, 21550, 486, 421, 350, 370, 30317, 27381, 510, 16533, 493, 25707, 30006, 498, 28098, 25051, 497, 31176, 491, 30317, 27381, 510, 4970, 492, 21550, 486, 421, 350, 370, 30317, 27381, 510, 7511, 27962, 16533, 493, 454, 420, 489, 354, 25051, 497, 31176, 491, 30317, 27381, 510, 2999, 17276, 510, 486, 421, 350, 370, 30317, 27381, 510, 16088, 24662, 21550, 486, 454, 420, 489, 354, 25051, 497, 31176, 491, 30317, 27381, 510, 3436, 17276, 510, 486, 421, 350, 370, 30317, 27381, 510, 16088, 19764, 373, 24731, 21550, 486, 421, 350, 370, 30317, 27381, 510, 8147, 18777, 364, 25051, 499, 4970, 353, 26033, 483, 31284, 21550, 485, 26266, 362, 29219, 22287, 367, 20992, 19867, 478, 418, 365, 480, 14035, 358, 12255, 454, 30244, 19404, 490, 17958, 21550, 486, 18777, 364, 25051, 499, 7511, 15159, 570, 476, 7511, 31284, 21550, 485, 25707, 18411, 5035, 8827, 912, 825, 1219, 3232, 307, 655, 704, 2137, 4311, 267, 570, 281, 5903, 27776, 8079, 9847, 5903, 27776, 14158, 1038, 2164, 17342, 271, 30297, 6352, 24867, 994, 1038, 10518, 17342, 2639, 1038, 585, 737, 267, 7407, 538, 26246, 24867, 2187, 2018, 952, 10518, 912, 3546, 1247, 10518, 543, 570, 314, 23637, 15631, 272, 14963, 283, 7407, 912, 7386, 2164, 314, 23637, 15631, 272, 14963, 284, 330, 3613, 871, 15631, 272, 2639, 7386, 10518, 21014, 4590, 2018, 10518, 6910, 17347, 994, 1038, 2132, 2164, 692, 258, 1948, 25913, 25622, 273, 454, 258, 1362, 8827, 272, 24998, 2187, 258, 672, 1219, 3232, 307, 655, 704, 2137, 4311, 267, 570, 2187, 258, 1363, 10518, 267, 678, 815, 1496, 3910, 1496, 271, 316, 2608, 7003, 24867, 994, 258, 1363, 585, 1775, 267, 512, 538, 26246, 24867, 2187, 258, 17264, 1247, 10518, 543, 570, 314, 23637, 15631, 272, 14963, 2999, 512, 281, 3097, 258, 4449, 678, 314, 23637, 21014, 3890, 316, 815, 1775, 910, 10518, 15631, 272, 2639, 258, 17264, 10518, 6910, 9217, 994, 258, 1363, 2132, 678, 0, 18257, 692, 18411, 3698, 4894, 291, 340, 6473, 4311, 19885, 4548, 2187, 825, 952, 7003, 25225, 264, 27045, 273, 912, 1038, 2132, 7003, 25225, 994, 825, 1948, 27936, 18263, 487, 4970, 353, 14748, 418, 490, 485, 421, 496, 486, 12486, 4970, 353, 418, 490, 485, 421, 496, 486, 18263, 489, 25426, 368, 421, 504, 498, 22047, 418, 490, 485, 421, 496, 486, 8147, 454, 825, 1775, 284, 271, 258, 418, 483, 351, 418, 490, 485, 421, 496, 486, 454, 825, 795, 284, 273, 258, 417, 379, 360, 418, 490, 485, 421, 496, 486, 454, 825, 1247, 795, 2999, 7003, 25225, 2187, 1038, 952, 15358, 5157, 316, 256, 284, 333, 4548, 14728, 14158, 2018, 1775, 23785, 272, 454, 2018, 795, 23785, 272, 454, 1038, 3116, 912, 2018, 15358, 31927, 25225, 14728, 8079, 258, 420, 489, 354, 25203, 372, 12571, 490, 8147, 16533, 365, 10254, 510, 30522, 353, 333, 4548, 14728, 316, 30317, 27381, 510, 8147, 418, 490, 485, 421, 496, 486, 21251, 26175, 375, 20693, 357, 454, 825, 2132, 7003, 25225, 264, 0, 3698, 13506, 5091, 27853, 12169, 2187, 825, 1535, 284, 272, 454, 825, 13672, 284, 271, 269, 1822, 272, 454, 825, 1033, 320, 284, 272, 454, 825, 1293, 284, 272, 454, 825, 1247, 2612, 5560, 9508, 264, 285, 271, 269, 1822, 4905, 912, 1038, 1033, 320, 284, 275, 20080, 16732, 343, 1262, 273, 3917, 994, 1038, 1535, 268, 284, 10401, 265, 323, 9508, 454, 1038, 1293, 23785, 272, 454, 825, 2132, 1535, 267, 12248, 454, 3698, 1007, 2023, 12169, 2187, 825, 1535, 284, 272, 454, 825, 1033, 320, 284, 272, 454, 825, 1293, 284, 272, 454, 825, 1247, 2612, 5560, 9508, 264, 285, 271, 269, 1822, 4905, 912, 1038, 535, 343, 14352, 344, 14870, 1262, 273, 264, 1262, 273, 454, 1038, 1033, 320, 284, 275, 20080, 16732, 343, 1262, 273, 3917, 994, 1038, 952, 711, 1033, 320, 912, 2018, 2736, 454, 1038, 1535, 268, 284, 325, 343, 7933, 9508, 454, 1038, 1293, 23785, 272, 454, 825, 2132, 1535, 267, 12248, 692, 2745, 14116, 2784, 1304, 5091, 27853, 263, 10037, 4917, 2745, 28956, 2023, 263, 10037, 4917, 0, 5257, 5257, 454, 17247, 10524, 488, 14035, 358, 417, 379, 481, 418, 481, 483, 29830, 373, 10254, 360, 417, 354, 377, 267, 18713, 510, 20992, 10524, 500, 31308, 375, 18263, 364, 29072, 13601, 31176, 363, 19867, 495, 10429, 489, 29830, 490, 267, 9463, 495, 27064, 364, 19404, 490, 30837, 351, 31271, 483, 419, 482, 370, 20069, 273, 14748, 27962, 27064, 489, 267, 273, 14748, 16533, 493, 27064, 489, 263, 13601, 31176, 363, 29830, 490, 31308, 509, 10951, 361, 15159, 7918, 19764, 510, 317, 318, 317, 264, 2483, 10524, 500, 421, 504, 493, 10951, 374, 10524, 492, 18809, 418, 488, 377, 24731, 29072, 276, 19764, 510, 29830, 490, 267, 418, 481, 367, 418, 369, 489, 418, 369, 489, 420, 485, 359, 26266, 365, 7511, 19867, 489, 418, 364, 498, 267, 419, 506, 489, 419, 506, 489, 420, 25693, 21251, 420, 25693, 418, 488, 377, 28996, 421, 350, 374, 31878, 267, 417, 28187, 31563, 418, 488, 377, 28996, 7511, 13644, 507, 267, 10524, 500, 19540, 367, 27936, 31308, 375, 18263, 364, 12916, 497, 420, 480, 366, 25051, 358, 419, 354, 357, 267, 417, 502, 379, 417, 502, 379, 5405, 479, 5405, 479, 454, 2108, 419, 374, 351, 417, 379, 481, 288, 267, 421, 375, 495, 418, 350, 481, 274, 267, 16533, 493, 27064, 489, 267, 27962, 27064, 489, 267, 25913, 29830, 485, 276, 5608, 2108, 17764, 3733, 2696, 17373, 21251, 15159, 421, 350, 374, 31878, 32465, 17247, 21251, 421, 360, 502, 10429, 368, 29072, 267, 10524, 500, 418, 481, 367, 29072, 418, 481, 367, 267, 19540, 367, 27936, 27962, 315, 16533, 493, 22614, 492, 489, 23746, 23284, 419, 506, 489, 29873, 10524, 375, 12916, 499, 12255, 21211, 267, 23946, 370, 4970, 498, 288, 419, 506, 489, 30853, 272, 267, 297, 20992, 1556, 267, 304, 20992, 1321, 267, 298, 20992, 1724, 25707, 31968, 30837, 351, 7511, 276, 19764, 510, 29830, 490, 16533, 365, 23746, 23284, 9463, 502, 29873, 2108, 272, 267, 273, 267, 274, 267, 275, 267, 276, 892, 263, 27962, 16533, 493, 27064, 489, 26166, 10254, 360, 419, 506, 489, 30853, 273, 25520, 275, 1070, 2108, 3383, 700, 13806, 17373, 12486, 17247, 19540, 367, 27936, 31308 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 269, 634, 5169, 540, 726, 770, 1749, 269, 22776, 269, 808, 269, 700, 4883, 269, 17502, 269, 476, 1704, 281, 476, 29579, 268, 27420, 563, 2419, 1511, 345, 267, 674, 269, 623, 1421, 918, 10611, 269, 21207, 267, 918, 269, 3213, 1446, 267, 808, 269, 670, 269, 9410, 267, 717, 10611, 269, 1019, 307, 1638, 1470, 267, 715, 269, 589, 269, 654, 1564, 577, 1889, 9807, 267, 589, 269, 595, 269, 15243, 5459, 1299, 681, 11053, 269, 4446, 828, 269, 476, 1960, 272, 269, 12618, 3928, 267, 21737, 267, 29855, 543, 4401, 20159, 540, 20337, 658, 7414, 20239, 25762, 269, 7799, 333, 565, 269, 1299, 7909, 690, 337, 269, 476, 3607, 281, 476, 8687, 277, 268, 8146, 274, 563, 290, 1156, 267, 631, 1421, 681, 14371, 269, 2372, 4883, 749, 1299, 589, 269, 654, 269, 667, 269, 700, 1046, 636, 269, 476, 1220, 273, 269, 634, 2101, 1769, 3620, 541, 4034, 532, 20119, 3940, 540, 3600, 776, 5255, 3271, 529, 2261, 2088, 269, 12658, 269, 20195, 269, 4437, 32554, 269, 17502, 269, 32731, 269, 476, 276, 1691, 281, 476, 14983, 268, 13923, 563, 2419, 880, 565, 332, 267, 590, 15030, 1421, 681, 12282, 269, 744, 28952, 267, 661, 10611, 269, 2098, 9116, 2401, 267, 808, 269, 4826, 12064, 267, 681, 269, 3619, 20143, 651, 1299, 715, 269, 654, 1564, 577, 1889, 9807, 269, 476, 2735, 279, 269, 589, 3209, 1863, 2000, 1516, 605, 18608, 4451, 974, 4386, 693, 1164, 1591, 9830, 538, 519, 30173, 552, 25045, 7595, 7997, 269, 7186, 476, 31172, 281, 476, 22430, 268, 29340, 563, 734, 267, 590, 11482, 269, 7671, 601, 267, 681, 269, 3619, 24809, 651, 267, 681, 12282, 269, 744, 28952, 267, 645, 269, 6022, 523, 1731, 267, 808, 269, 4826, 12064, 267, 700, 269, 4639, 11219, 25296, 337, 644, 1299, 661, 10611, 269, 2098, 9116, 2401, 269, 476, 1960, 273, 269, 1160, 18608, 19905, 2261, 19434, 18051, 269, 1024, 269, 838, 12727, 606, 3404, 344, 31688, 582, 13116, 7286, 605, 28648, 1774, 5627, 2820, 514, 2643, 932, 331, 269, 513, 543, 536, 269, 5246, 269, 19287, 2723, 269, 476, 14991, 281, 29574, 268, 4968, 563, 13731, 13403, 267, 772, 1421, 590, 269, 10496, 21103, 267, 808, 269, 681, 269, 26541, 534, 267, 667, 269, 966, 4954, 582, 1299, 674, 269, 681, 817, 9567, 345, 611, 1122, 534, 269, 476, 1960, 280, 269, 12618, 543, 21737, 593, 1160, 18608, 19905, 543, 5204, 928, 577, 19905, 676, 1079, 7286, 524, 8270, 919, 269, 7799, 333, 565, 269, 1299, 7909, 690, 337, 269, 476, 4510, 281, 7367, 268, 8618, 454, 734, 267, 589, 269, 717, 1014, 333, 752, 537, 709, 267, 674, 8709, 654, 600, 2041, 651, 1299, 717, 269, 15535, 9461, 269, 476, 1220, 272, 269, 15089, 1993, 25419, 749, 622, 32456, 593, 10081, 663, 10636, 582, 13116, 17552, 25762, 538, 519, 23731, 582, 13116, 11335, 7256, 269, 808, 269, 1773, 269, 1763, 269, 476, 2537, 281, 476, 15782, 278, 268, 14530, 271, 563, 734, 267, 595, 269, 3938, 2906, 267, 670, 269, 10127, 599, 28839, 267, 589, 269, 717, 1014, 333, 752, 537, 709, 267, 595, 269, 3057, 320, 767, 5362, 267, 918, 269, 1488, 269, 918, 768, 553, 1299, 623, 269, 2274, 8663, 517, 269, 476, 1220, 273, 269, 25674, 4162, 540, 1160, 18608, 19905, 543, 5204, 928, 577, 19905, 4616, 676, 3566, 643, 5387, 6289, 1993, 25419, 749, 919, 269, 19287, 658, 661, 3712, 269, 476, 6246, 281, 476, 30130, 268, 31134, 563, 290, 5055, 755, 516, 267, 670, 269, 1299, 808, 5861, 269, 6742, 344, 269, 476, 1960, 276, 269, 16930, 20239, 25762, 8790, 13293, 543, 741, 6935, 547, 3119, 2504, 538, 519, 570, 22241, 3345, 9533, 269, 12213, 4149, 20660, 1763, 269, 476, 5655, 281, 476, 15704, 276, 268, 14983, 274, 563, 734, 267, 589, 269, 645, 878, 7596, 267, 631, 269, 9040, 514, 267, 674, 269, 25362, 344, 656, 267, 700, 269, 2871, 650, 537, 267, 674, 269, 2274, 294, 718, 267, 667, 269, 21322, 1299, 674, 269, 3487, 839, 5652, 269, 476, 1220, 273, 269, 667, 1408, 7648, 538, 1160, 18608, 19905, 9804, 3601, 269, 7799, 333, 565, 269, 1299, 7909, 690, 337, 269, 476, 5325, 281, 476, 14321, 278, 268, 13932, 278, 563, 290, 1961, 2006, 267, 589, 15030, 269, 1299, 681, 6993, 269, 10197, 514, 269, 476, 2735, 274, 269, 634, 29916, 540, 5027, 538, 1160, 18608, 517, 630, 3682, 18608, 4451, 3279, 1040, 24695, 322, 860, 807, 476, 2420, 281, 20385, 268, 18891, 563, 290, 1961, 2006, 267, 631, 11482, 1421, 631, 11065, 269, 590, 29229, 267, 589, 5861, 269, 6742, 4176, 267, 595, 269, 853, 1122, 28727, 267, 918, 269, 31550, 267, 661, 12171, 269, 1546, 7043, 1299, 590, 15030, 269, 932, 880, 565, 332, 269, 476, 1220, 277, 269, 2637, 5669, 10195, 543, 519, 14498, 543, 4720, 540, 1160, 18608, 19905, 269, 3163, 476, 25313, 2433, 476, 12293, 279, 268, 10082, 271, 563, 17357, 15605, 267, 589, 1421, 476, 1704, 269, 13343, 710, 345, 8566, 2345, 267, 674, 12282, 11482, 269, 717, 867, 21034, 267, 681, 269, 25661, 807, 7304, 340, 714, 1299, 674, 269, 311, 269, 15281, 749, 269, 476, 1960, 280, 269, 5204, 928, 577, 19905, 543, 1160, 18608, 19905, 6438, 5095, 9571, 676, 2095, 11118, 5852, 538, 513, 552, 583, 13116, 13111, 538, 4832, 269, 808, 269, 1773, 1678, 339, 269, 1763, 269, 476, 2641, 281, 476, 14991, 276, 268, 15647, 272, 563, 290, 2135, 267, 717, 269, 476, 2735, 277, 269, 18948, 540, 1160, 18608, 517, 689, 1114, 14747, 269, 594, 269, 23305, 543, 3706, 2858, 24780, 4162, 269, 1715, 24695, 339, 565, 269, 476, 10441, 281, 476, 275, 3066, 268, 275, 3393, 563, 734, 261, 667, 8160, 269, 667, 23702, 324, 269, 476, 2735, 272, 269, 5131, 2763, 268, 21255, 3706, 5509, 540, 513, 1160, 18608, 517, 2249, 734, 1492, 1623, 321, 542, 339, 540, 9894, 655, 11133, 12387, 548, 269, 1715, 24695, 339, 565, 269, 476, 6434, 281, 476, 275, 2767, 268, 275, 4343, 563, 734, 267, 681, 14371, 269, 10830, 518, 1299, 589, 269, 654, 6185, 269, 700, 1046, 636, 269, 476, 2735, 276, 269, 1323, 8966, 19826, 4451, 974, 267, 5627, 943, 26338, 537, 13681, 559, 514, 543, 1623, 25027, 609, 10841, 573, 2103, 543, 29008, 525, 269, 3057, 269, 22776, 269, 476, 8660, 281, 476, 14983, 268, 14321, 563, 290, 4592, 29560, 267, 715, 6185, 269, 1299, 631, 12282, 269, 30166, 553, 269, 476, 1220, 272, 269, 2806, 1495, 766, 267, 3892, 543, 2095, 268, 1097, 339, 6248, 18572, 540, 17552, 4451, 9008, 549, 28648, 1774, 5095, 538, 3844, 630, 1704, 314, 19592, 4181, 316, 306, 264, 543, 7013, 630, 736, 314, 19592, 4181, 316, 306, 264, 15808, 7297, 540, 519, 4279, 4446, 8175, 24035, 269, 808, 269, 1773, 1678, 339, 269, 1763, 269, 476, 2537, 281, 476, 3199, 280, 268, 279, 2764, 563, 291, 1075, 984, 340, 267, 670, 1421, 808, 269, 13535, 1143, 534, 267, 681, 269, 681, 269, 13744, 12027, 1299, 700, 269, 681, 269, 12653, 269, 476, 1960, 279, 269, 26269, 1063, 513, 605, 18608, 4451, 974, 543, 513, 19826, 14385, 1756, 896, 1585, 16903, 20816, 281, 6476, 609, 519, 667, 549, 641, 2203, 269, 808, 269, 24695, 3712, 269, 476, 4097, 281, 476, 5379, 278, 268, 5325, 277, 563, 293, 518, 516, 4275, 267, 674, 1299, 715, 6993, 269, 18135, 639, 269, 476, 1960, 275, 269, 11635, 22930, 538, 19826, 27627, 269, 808, 269, 10331, 269, 24695, 3712, 269, 476, 277, 281, 476, 1960, 268, 13975, 563, 14503, 648, 333, 345, 8457, 267, 717, 1421, 654, 269, 645, 841, 18223, 1299, 681, 269, 631, 831, 817, 328, 269, 476, 2735, 277, 269, 715, 32393, 1155, 540, 1160, 18608, 517, 1705, 655, 14269, 630, 299, 1168, 514, 476, 3192, 278, 264, 838, 269, 18051, 1421, 9930, 269, 2847, 1421, 1160, 18608, 517, 630, 299, 1168, 514, 476, 3192, 277, 264, 1024, 269, 18051, 1421, 9930, 269, 2847, 1421, 1160, 18608, 19687, 2484, 334, 269, 18051, 1421, 1160, 18608, 2297, 3921, 269, 18051, 1421, 9930, 269, 2847, 269, 538, 519, 1362, 7353, 27627, 18582, 19490, 543, 25371, 476, 3192, 279, 269, 2271, 269, 808, 269, 5204, 560, 269, 645, 1461, 2723, 269, 476, 3607, 281, 476, 31620, 268, 31874, 563, 294, 2117, 807, 6363, 1716, 663, 14162, 267, 808, 8160, 1421, 631, 269, 632, 9370, 659, 1299, 808, 269, 12603, 345, 269, 476, 1220, 275, 269, 20837, 20040, 7939, 543, 5444, 2530, 607, 606, 13261, 7271, 538, 1160, 18608, 19905, 585, 20979, 9436, 13345, 538, 23731, 582, 13116, 5054, 269, 19287, 2723, 269, 631, 1961, 322, 269, 22776, 269, 4860, 269, 476, 6924, 281, 476, 30697, 268, 277, 4343, 563, 294, 2117, 345, 732, 330, 267, 700, 1421, 717, 269, 654, 8160, 269, 8709, 512, 1512, 853, 320, 599, 267, 808, 269, 595, 269, 7338, 1299, 674, 269, 3487, 839, 5652, 269, 476, 1960, 279, 269, 1772, 15684, 543, 18572, 540, 2584, 4722, 594, 689, 1079, 12490, 540, 519, 7286, 3404, 344, 18608, 14385, 1756, 1160, 18608, 19905, 269, 16071, 2106, 269, 1763, 269, 476, 6321, 281, 476, 14530, 268, 15221, 563, 734, 267, 654, 10611, 269, 670, 612, 267, 808, 269, 14208, 6308, 754, 528, 742, 267, 717, 15030, 8160, 269, 8709, 3541, 853, 320, 599, 1299, 674, 269, 3487, 839, 5652, 269, 476, 1220, 271, 269, 18527, 540, 19215, 6090, 607, 513, 2101, 9542, 547, 1970, 1769, 538, 513, 605, 28648, 1774, 269, 28540, 269, 14844, 331, 269, 6298, 2233, 269, 772, 2529, 6993, 269, 476, 9032, 281, 476, 30156, 279, 268, 25148, 272, 563, 734, 267, 674, 269, 3487, 839, 5652, 267, 808, 269, 4591, 16379, 754, 528, 742, 267, 654, 269, 9710, 560, 267, 631, 269, 9040, 514, 267, 594, 269, 6307, 267, 808, 11607, 290, 269, 7338, 1299, 654, 10611, 269, 670, 612, 269, 476, 1220, 272, 320, 269, 27018, 4082, 540, 19215, 543, 4295, 6090, 538, 1160, 18608, 19905, 623, 6717, 4817, 272, 272, 630, 302, 15383, 31688, 27627, 264, 6738, 896, 1769, 1673, 1046, 9979, 269, 30287, 332, 269, 19287, 2723, 269, 476, 274, 281, 476, 12739, 268, 11260, 563, 734, 267, 717, 269, 654, 269, 631, 269, 8709, 3541, 853, 320, 599, 267, 654, 10611, 269, 670, 612, 267, 674, 269, 2274, 294, 718, 1299, 674, 269, 3487, 839, 5652, 269, 476, 1220, 272, 536, 269, 20309, 543, 18105, 4094, 344, 952, 519, 2789, 19215, 6090, 540, 519, 1970, 2000, 697, 14194, 2194, 539, 8833, 1160, 18608, 19905, 2261, 19434, 9399, 476, 6344, 630, 302, 15383, 31688, 27627, 1040, 28697, 269, 631, 1961, 322, 269, 22776, 269, 476, 5379, 281, 476, 6924, 274, 268, 7597, 274, 563, 10481, 1170, 267, 772, 1421, 594, 269, 19161, 10458, 267, 631, 269, 2349, 1678, 267, 681, 269, 5576, 30977, 267, 631, 269, 670, 720, 10458, 1299, 589, 269, 5576, 3233, 269, 476, 1220, 274, 269, 24544, 540, 1160, 18608, 1054, 3700, 538, 15741, 880, 7297, 676, 1808, 29208, 540, 26099, 321, 6090, 269, 10331, 269, 30287, 332, 269, 19287, 2723, 269, 476, 7597, 281, 476, 277, 2190, 274, 268, 277, 2190, 280, 563, 294, 756, 321, 267, 590, 15030, 1421, 667, 14371, 269, 595, 17026, 902, 267, 2473, 269, 594, 3419, 334, 1329, 267, 681, 14371, 269, 4446, 869, 267, 681, 269, 674, 879, 17844, 1299, 595, 269, 31615, 2227, 269, 476, 1220, 272, 269, 24695, 339, 25762, 20119, 2447, 582, 1314, 16860, 540, 519, 27040, 9533, 269, 12213, 4149, 20660, 1763, 269, 4083, 476, 4366, 281, 476, 278, 4817, 268, 279, 2537, 563, 294, 756, 2125, 267, 590, 10422, 269, 476, 3192, 279, 269, 634, 8392, 6955, 6814, 540, 26290, 6352, 320, 949, 723, 7960, 689, 1623, 25027, 3039, 13479, 269, 2052, 611, 269, 808, 269, 15636, 269, 476, 6321, 281, 476, 25971, 274, 268, 25971, 280, 563, 294, 1342, 902, 267, 570, 13034, 1421, 715, 15030, 269, 31864, 1667, 1299, 700, 6993, 269, 853, 2801, 3559, 514, 269, 476, 2735, 271, 269, 10016, 1090, 12817, 2497, 540, 30528, 543, 13417, 17977, 4525, 540, 519, 6337, 24678, 17011, 540, 1160, 18608, 517, 838, 1421, 513, 605, 28648, 1774, 269, 28540, 269, 14844, 331, 269, 6298, 269, 2233, 269, 772, 2529, 6993, 269, 476, 6507, 281, 476, 31134, 268, 32579, 563, 294, 625, 7719, 267, 654, 15030, 5861, 269, 1299, 717, 15030, 269, 26689, 599, 269, 476, 2735, 274, 269, 32148, 28060, 513, 16755, 538, 519, 3345, 7256, 543, 519, 9341, 9533, 7909 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1306, 519, 3141, 1019, 5529, 2630, 519, 27850, 6807, 6607, 1467, 267, 16213, 28608, 20224, 936, 519, 2749, 781, 14297, 10754, 267, 1079, 2025, 2828, 1336, 2933, 27206, 2066, 689, 1142, 824, 538, 513, 12816, 13050, 267, 8673, 23752, 3046, 269, 2290, 540, 873, 267, 10793, 267, 1185, 1044, 513, 3811, 2197, 22459, 1394, 538, 1010, 30971, 1485, 282, 519, 824, 267, 6341, 267, 606, 14971, 22256, 1606, 784, 23116, 10010, 547, 1118, 7475, 2743, 269, 4256, 6643, 2095, 539, 24672, 998, 2984, 827, 2648, 267, 1272, 267, 543, 519, 2479, 19145, 5251, 540, 2197, 2575, 780, 31568, 10709, 539, 4464, 267, 8808, 513, 4837, 540, 22090, 4486, 267, 1010, 4064, 10452, 519, 3636, 16657, 540, 519, 16841, 8279, 269, 834, 2791, 917, 267, 4819, 2437, 646, 1767, 267, 1010, 5639, 18574, 569, 2943, 9543, 267, 834, 12248, 787, 2575, 513, 514, 1405, 1018, 621, 1031, 547, 581, 1701, 1261, 17328, 4310, 13713, 1354, 11173, 267, 834, 3719, 1287, 1586, 267, 9444, 616, 649, 3010, 21579, 6659, 606, 32071, 992, 855, 4769, 1405, 4431, 5612, 267, 3079, 521, 6235, 24617, 593, 1200, 4235, 1247, 14719, 908, 1200, 3659, 781, 1913, 269, 2991, 513, 4090, 267, 1352, 4280, 267, 834, 1432, 798, 596, 1611, 12482, 31568, 3576, 1776, 521, 760, 540, 22090, 4486, 267, 2220, 26325, 519, 993, 828, 5277, 1472, 538, 1010, 4837, 1354, 16460, 269, 834, 12988, 950, 594, 3323, 856, 267, 2197, 2575, 729, 6151, 543, 1483, 1107, 621, 12038, 2047, 547, 1004, 781, 12271, 1317, 621, 3357, 2786, 689, 23600, 269, 898, 7012, 1405, 827, 21239, 610, 19539, 282, 621, 729, 827, 4687, 938, 1928, 267, 7772, 267, 543, 9620, 609, 1866, 945, 6956, 3010, 3891, 588, 1563, 1055, 883, 519, 3845, 267, 4503, 538, 8823, 540, 2395, 8854, 676, 269, 834, 3086, 12997, 267, 1498, 1862, 527, 7959, 530, 23926, 1524, 11214, 269, 6145, 789, 4312, 3144, 2476, 782, 1346, 11315, 8728, 602, 1500, 621, 2027, 538, 519, 1101, 1747, 3010, 21579, 535, 27547, 267, 6236, 1200, 3659, 781, 5133, 269, 2701, 7948, 1405, 20912, 972, 729, 930, 5168, 547, 1018, 646, 1767, 269, 3683, 942, 267, 1352, 1185, 2938, 875, 5010, 1436, 543, 3444, 24932, 516, 7506, 1185, 18534, 9464, 2197, 2575, 883, 1945, 2484, 6569, 689, 922, 18803, 8129, 269, 8616, 267, 5103, 891, 2242, 267, 1352, 1869, 5156, 538, 922, 1379, 547, 5905, 2729, 543, 3142, 4313, 1282, 2352, 2053, 780, 9515, 6743, 1394, 693, 10793, 267, 5870, 1010, 22401, 4009, 569, 269, 834, 28646, 602, 781, 3020, 267, 855, 6148, 621, 781, 849, 6738, 3564, 922, 3312, 6302, 269, 898, 781, 6603, 4025, 543, 1004, 649, 2760, 1223, 723, 16545, 1354, 3010, 31568, 21330, 7444, 267, 14344, 1200, 1448, 269, 1358, 8593, 14980, 2899, 811, 267, 27153, 538, 741, 4555, 2394, 5555, 267, 519, 2597, 540, 1296, 543, 2833, 10816, 3022, 519, 7934, 1063, 19911, 28101, 543, 4126, 267, 6028, 4055, 1152, 585, 1620, 543, 10343, 780, 4517, 3976, 267, 9624, 804, 9722, 14296, 543, 544, 4428, 1194, 7391, 267, 1079, 20339, 4448, 936, 3838, 1686, 543, 28836, 10092, 267, 3808, 1927, 676, 519, 11972, 6891, 540, 2197, 2575, 910, 513, 15266, 547, 1312, 922, 13710, 7060, 543, 15851, 9029, 269, 0, 2237, 513, 8903, 1650, 1644, 547, 519, 1739, 1257, 6256, 912, 22081, 1705, 2197, 2575, 11457, 689, 922, 5072, 538, 6917, 1977, 2528, 547, 1831, 513, 13416, 9135, 609, 513, 2518, 5304, 888, 15575, 787, 2575, 8385, 7960, 689, 519, 2757, 12563, 2575, 540, 6917, 3013, 267, 3226, 538, 519, 7013, 4525, 269, 634, 9135, 729, 6766, 676, 513, 7848, 540, 1114, 7574, 6163, 1519, 2757, 9721, 267, 13677, 543, 2296, 3440, 6758, 267, 21462, 267, 22258, 267, 543, 29630, 1014, 2575, 269, 769, 519, 476, 4572, 271, 338, 267, 519, 5925, 22820, 4847, 2197, 2575, 547, 581, 22412, 730, 811, 4922, 2066, 3013, 267, 543, 538, 519, 12687, 540, 713, 267, 2594, 3549, 3459, 547, 1491, 5469, 540, 2197, 2575, 543, 922, 8560, 780, 2026, 519, 8560, 540, 2197, 2575, 8057, 267, 865, 1932, 1705, 922, 3310, 593, 824, 7574, 11964, 267, 1519, 9412, 562, 685, 24305, 543, 7377, 269, 589, 1007, 5951, 540, 2197, 12372, 7153, 538, 519, 476, 3422, 271, 338, 543, 476, 3192, 271, 338, 945, 3459, 547, 6451, 1114, 3344, 540, 2442, 2528, 883, 741, 2575, 267, 1818, 621, 811, 3015, 547, 1007, 9458, 780, 7021, 942, 267, 2197, 2575, 814, 4810, 513, 3586, 4720, 267, 799, 814, 4847, 621, 10640, 763, 1650, 3085, 1406, 991, 547, 2446, 3388, 538, 519, 6256, 267, 946, 621, 1175, 585, 6667, 543, 581, 3860, 2336, 763, 1650, 1058, 6451, 519, 1739, 2609, 912, 268, 15511, 281, 519, 1650, 1590, 4183, 693, 2547, 835, 6209, 5188, 602, 8761, 1915, 3178, 267, 8441, 519, 4729, 267, 610, 28807, 513, 2629, 4062, 540, 519, 9814, 3097, 268, 21624, 4798, 281, 2263, 4798, 22298, 609, 513, 9921, 5304, 267, 971, 607, 5837, 13509, 267, 16650, 14511, 267, 2123, 7004, 267, 610, 519, 4539, 540, 2250, 3527, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 834, 763, 3141, 8288, 1970, 538, 519, 6607, 257, 610, 834, 1103, 519, 27452, 1396, 2580, 581, 3860, 269, 0, 7170, 281, 5651, 874, 718, 9471, 281, 1215, 12292, 3204, 523, 4733, 4256, 10610, 20668, 2439, 7072, 912, 5970, 596, 2479, 9289, 1018, 1131, 4755, 952, 596, 4503, 513, 18215, 286, 2986, 1576, 267, 621, 9364, 581, 15265, 543, 11213, 267, 855, 723, 596, 2219, 827, 875, 707, 1560, 1522, 2119, 547, 1332, 621, 1394, 286, 2755, 3425, 1810, 1405, 723, 602, 6909, 2702, 267, 930, 2831, 798, 256, 901, 4241, 1184, 568, 1572, 10641, 718, 9471, 269, 2913, 781, 4685, 883, 519, 5863, 1158, 540, 11095, 7350, 547, 1451, 811, 2439, 1432, 568, 10641, 718, 9471, 286, 912, 300, 6973, 718, 9471, 568, 513, 1826, 540, 20344, 1141, 2831, 666, 1036, 992, 3003, 2694, 540, 741, 4703, 267, 899, 7916, 267, 7953, 267, 610, 1256, 8219, 256, 2368, 7068, 267, 971, 607, 5182, 8127, 267, 3618, 19095, 267, 543, 1978, 2010, 540, 6366, 19095, 267, 666, 1685, 10641, 718, 9471, 269, 1358, 666, 7816, 610, 5372, 8697, 8031, 543, 3889, 676, 556, 6716, 1944, 4540, 2281, 267, 3079, 540, 10451, 1007, 3283, 269, 898, 781, 3592, 899, 2348, 513, 6263, 4070, 2319, 3330, 873, 267, 2324, 2182, 547, 2322, 3388, 1394, 1927, 2439, 1692, 1281, 10641, 718, 9471, 960, 286, 912, 5331, 596, 1185, 513, 2759, 593, 707, 6186, 269, 2659, 2960, 2281, 1131, 1376, 12270, 1472, 519, 10138, 547, 1711, 513, 1085, 629, 543, 12115, 519, 5945, 269, 6684, 267, 950, 606, 3662, 19380, 513, 1560, 851, 1282, 10641, 718, 9471, 267, 922, 6967, 2281, 1847, 2509, 519, 20754, 1858, 269, 1452, 2281, 1287, 1689, 3337, 267, 7941, 267, 543, 1106, 3270, 547, 18949, 519, 7508, 4062, 780, 30252, 8127, 616, 1390, 693, 10641, 718, 9471, 256, 1879, 835, 540, 741, 7916, 4991, 1033, 3737, 267, 789, 1810, 1406, 1175, 2285, 909, 256, 5502, 267, 2027, 2281, 2282, 519, 10138, 19334, 267, 3001, 4724, 519, 3135, 543, 13321, 2933, 883, 824, 1591, 2010, 2877, 585, 2679, 513, 1007, 18215, 269, 16828, 267, 513, 4628, 6198, 6186, 9428, 1394, 2439, 3963, 1353, 10641, 718, 9471, 286, 912, 8139, 10641, 718, 9471, 1223, 948, 721, 3605, 2081, 547, 3986, 1480, 7067, 543, 6148, 1256, 5512, 721, 547, 1036, 992, 938, 1378, 1560, 2694, 14693, 256, 1635, 4974, 891, 7415, 5759, 538, 2831, 267, 3744, 4126, 547, 12260, 11580, 602, 949, 1291, 547, 7760, 538, 2564, 2029, 269, 5994, 7189, 1210, 27532, 4915, 547, 1521, 7063, 610, 10108, 1107, 602, 9364, 581, 1945, 4502, 3168, 4464, 547, 2439, 29222, 5517, 281, 9894, 596, 917, 972, 781, 513, 1826, 540, 21431, 1572, 1544, 4115, 602, 666, 2965, 581, 22872, 883, 4773, 267, 543, 1142, 23650, 814, 519, 1761, 547, 1332, 883, 513, 2898, 1007, 21431, 26834, 27355, 1406, 2470, 2247, 1532, 27172, 2496, 6962, 912, 300, 6973, 718, 9471, 20502, 519, 13300, 540, 11095, 7350, 543, 2488, 4030, 883, 875, 2713, 7919, 3082, 267, 7639, 267, 543, 8853, 538, 1585, 5054, 269, 1306, 649, 3136, 3695, 519, 13655, 540, 1272, 267, 945, 6487, 1018, 9735, 8906, 24098, 721, 1985, 286, 9320, 14693, 267, 3425, 1932, 786, 4487, 519, 1148, 540, 10641, 718, 9471, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3918, 26177, 1923, 8222, 281, 1015, 269, 20385, 4510, 270, 2181, 21646, 1708, 20385, 269, 25320, 273, 18192, 272, 454, 20428, 281, 6925, 1656, 24103, 1108, 267, 26861, 564, 7879, 1656, 717, 2106, 320, 1815, 1108, 27511, 281, 5160, 4702, 282, 9065, 776, 282, 19786, 282, 29199, 282, 14934, 928, 19223, 454, 15697, 281, 476, 280, 5181, 476, 1708, 273, 630, 5881, 281, 3451, 281, 2767, 595, 12239, 994, 293, 24580, 14934, 31037, 1670, 1418, 14524, 666, 2014, 26983, 543, 5626, 11605, 267, 13302, 2298, 540, 1272, 540, 4299, 2021, 269, 5549, 2064, 568, 7683, 2810, 1813, 547, 3395, 3928, 540, 2860, 543, 8488, 532, 540, 1126, 321, 8960, 2085, 538, 519, 2919, 1158, 269, 7351, 5574, 616, 1419, 8572, 547, 11177, 1418, 1599, 267, 543, 12212, 616, 519, 2014, 585, 4775, 26983, 269, 20010, 2126, 3681, 616, 4867, 1373, 2919, 538, 1931, 547, 3068, 519, 14413, 638, 2329, 540, 1699, 2853, 269, 769, 713, 2689, 267, 2619, 3098, 543, 1699, 5574, 540, 14934, 31037, 1670, 8219, 630, 990, 2456, 267, 19786, 267, 543, 29199, 264, 786, 581, 4330, 269, 634, 1533, 6361, 7308, 19603, 540, 5160, 4702, 8925, 547, 1455, 2853, 616, 11117, 609, 513, 1445, 593, 538, 24155, 3631, 269, 570, 22568, 4702, 568, 606, 2479, 7721, 335, 21505, 2361, 267, 703, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 300, 6973, 718, 9471, 257, 607, 851, 540, 834, 306, 11799, 1315, 5020, 7070, 1315, 25833, 10334, 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, 476, 273, 269, 274, 8490, 8447, 853, 600, 2088, 692, 8702, 1394, 267, 14971, 11051, 256, 769, 713, 3296, 267, 649, 786, 5490, 883, 2679, 2168, 26176, 2088, 267, 799, 568, 2629, 585, 1022, 1685, 518, 269, 6056, 827, 621, 1107, 9117, 1419, 3340, 1373, 593, 3942, 610, 5496, 585, 3108, 693, 513, 942, 267, 609, 2370, 4316, 585, 9397, 269, 3958, 267, 9308, 14053, 5107, 2154, 1713, 16608, 267, 4222, 267, 543, 8112, 269, 1635, 6220, 2618, 26491, 5751, 5059, 593, 2810, 707, 2168, 26176, 2088, 267, 596, 666, 3986, 1312, 707, 4739, 543, 2949, 1072, 269, 1924, 1577, 781, 1205, 3323, 2439, 8139, 8447, 853, 600, 2088, 454, 28598, 16498, 26176, 2088, 4016, 547, 519, 2702, 540, 835, 781, 1560, 547, 2844, 12675, 2168, 11851, 542, 1510, 9854, 269, 898, 3322, 9025, 8516, 267, 16757, 4222, 267, 543, 2790, 6043, 269, 25947, 2168, 26176, 2088, 6087, 1732, 1445, 267, 2799, 1648, 2157, 267, 543, 4389, 1981, 540, 5945, 1282, 12644, 780, 2162, 31292, 24524, 692, 25205, 26210, 8516, 12211, 547, 875, 7561, 707, 2295, 15450, 1973, 998, 707, 30057, 1062, 269, 589, 3514, 9025, 1062, 2636, 811, 5135, 730, 1973, 547, 3914, 6091, 3533, 267, 7175, 873, 547, 960, 9875, 585, 3476, 5712, 269, 5871, 2409, 585, 5355, 9025, 8516, 1331, 4881, 267, 15203, 267, 10977, 267, 610, 15472, 269, 1452, 2238, 6318, 707, 2295, 2557, 543, 4161, 707, 7929, 1062, 267, 5009, 4824, 10009, 543, 5761, 4390, 936, 942, 780, 2162, 4053, 4788, 23848, 692, 15404, 4788, 4222, 25701, 547, 519, 2179, 540, 3196, 513, 4887, 666, 5352, 269, 23207, 16757, 4222, 10607, 3666, 267, 6617, 267, 543, 14302, 1765, 718, 1898, 3344, 540, 7900, 1134, 593, 3942, 610, 5496, 269, 10610, 7076, 5751, 971, 607, 7903, 13522, 267, 2695, 1846, 267, 5761, 525, 267, 543, 1544, 802, 3927, 1628, 16757, 4222, 1247, 849, 7393, 4295, 6617, 269, 18650, 2866, 1210, 12035, 610, 4187, 13164, 2417, 7586, 5809, 891, 2640, 780, 2162, 10076, 26504, 692, 15563, 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 ]
[ 543, 519, 5934, 910, 1691, 290, 269, 2334, 779, 4411, 2336, 4200, 4555, 593, 968, 12663, 519, 4049, 24475, 538, 2342, 3136, 18313, 11039, 267, 922, 6157, 688, 341, 2426, 930, 2186, 540, 1764, 936, 519, 11432, 269, 1280, 519, 1101, 942, 2479, 594, 3893, 606, 552, 17733, 689, 1250, 2475, 1433, 31805, 10213, 803, 519, 1433, 729, 4440, 1869, 538, 519, 23999, 1317, 519, 6777, 15286, 621, 1373, 14903, 539, 547, 519, 19633, 267, 543, 952, 621, 729, 14903, 539, 547, 519, 19633, 519, 14742, 1131, 581, 1932, 13792, 547, 8038, 19037, 563, 763, 8909, 3364, 568, 267, 922, 4010, 713, 2186, 540, 4365, 609, 12448, 12157, 339, 543, 1866, 547, 1205, 2476, 609, 741, 3409, 602, 972, 779, 1100, 2518, 8337, 1317, 267, 1134, 267, 621, 779, 711, 3905, 267, 568, 621, 888, 1607, 568, 1018, 594, 723, 1044, 6031, 585, 930, 942, 267, 20574, 269, 634, 11848, 543, 21303, 1164, 2604, 1949, 723, 1831, 6793, 543, 957, 607, 513, 630, 7758, 8271, 264, 5458, 9514, 23290, 6117, 1524, 593, 519, 18635, 16550, 4411, 2011, 2476, 689, 519, 18635, 609, 811, 1648, 982, 538, 519, 2250, 269, 634, 3310, 540, 519, 8701, 14251, 725, 814, 1831, 21260, 607, 519, 11626, 1648, 23608, 538, 519, 21050, 923, 814, 1831, 3152, 269, 1280, 5245, 602, 5526, 547, 581, 10156, 2916, 9979, 607, 14754, 538, 519, 11821, 1714, 270, 5055, 562, 514, 343, 9979, 269, 3502, 602, 594, 993, 1022, 4274, 267, 855, 602, 568, 875, 621, 568, 4946, 909, 689, 1250, 7422, 543, 2090, 563, 1607, 568, 849, 28507, 538, 715, 313, 1141, 2441, 577, 3420, 267, 799, 1185, 711, 1185, 1713, 6777, 17517, 585, 476, 2412, 1296, 267, 10393, 3323, 3478, 8813, 609, 2810, 4908, 269, 594, 3893, 547, 4324, 689, 602, 538, 1818, 513, 16801, 540, 8937, 18146, 6777, 2269, 1186, 585, 513, 2101, 32072, 2754, 269, 1306, 972, 1185, 711, 1044, 8813, 585, 1082, 1296, 26767, 11074, 8380, 2269, 1186, 593, 8937, 18146, 1247, 693, 519, 1482, 942, 8937, 1562, 2968, 3677, 543, 21260, 269, 1269, 10384, 271, 593, 602, 835, 2504, 2196, 630, 1231, 4269, 3409, 4027, 1040, 6271, 2679, 7678, 602, 1185, 2919, 729, 519, 946, 540, 14228, 333, 841, 959, 1380, 525, 543, 2539, 8486, 3481, 887, 7174, 267, 609, 538, 519, 10782, 2665, 513, 32364, 532, 333, 841, 4276, 1373, 1031, 538, 519, 1647, 540, 519, 959, 1380, 2539, 8082, 4759, 269, 1306, 513, 1267, 594, 14754, 513, 18560, 543, 1010, 7385, 7555, 538, 741, 5397, 3118, 5885, 1142, 824, 607, 789, 829, 4310, 741, 25540, 476, 274, 1286, 25880, 519, 8122, 540, 799, 1185, 25540, 896, 519, 2597, 540, 6777, 950, 519, 32364, 532, 333, 841, 6676, 5795, 1259, 593, 519, 8082, 4759, 267, 11493, 741, 476, 274, 6517, 543, 21006, 519, 25880, 676, 11319, 519, 6821, 856, 2072, 269, 5808, 1131, 723, 2219, 11631, 5194, 2679, 602, 25540, 585, 2147, 4128, 729, 519, 1360, 1804, 4672, 1236, 908, 678, 1074, 1374, 676, 606, 11629, 609, 7247, 594, 729, 538, 1870, 693, 519, 942, 540, 2679, 1818, 3037, 10386, 11160, 518, 20164, 630, 321, 4454, 6140, 676, 5245, 779, 17791, 1260, 585, 17656, 896, 9082, 5397, 1811, 1916, 288, 20624, 568, 2679, 3294, 883, 513, 2147, 7944, 609, 922, 28457, 748, 2679, 9479, 267, 23344, 585, 1114, 4128, 563, 3383, 594, 993, 609, 519, 623, 1824, 17043, 3206, 849, 563, 8133, 267, 543, 4952, 519, 2804, 3790, 540, 1175, 835, 3665, 5162, 1107, 19838, 519, 835, 789, 2461, 2348, 1318, 1631, 563, 10190, 1985, 942, 596, 5873, 2576, 4410, 513, 865, 10777, 968, 11296, 892, 4661, 1996, 2916, 1689, 2962, 267, 596, 3580, 917, 596, 2461, 6158, 547, 2576, 945, 814, 11613, 1100, 23319, 1018, 942, 621, 568, 269, 589, 942, 2914, 8463, 18174, 267, 610, 513, 524, 2106, 673, 8488, 518, 609, 2960, 519, 2910, 273, 3014, 269, 1703, 616, 1100, 824, 2010, 563, 17572, 896, 968, 3698, 324, 520, 892, 952, 789, 723, 1022, 1379, 267, 543, 454, 2108, 793, 648, 892, 952, 789, 21645, 630, 1410, 322, 2224, 803, 267, 855, 952, 594, 6557, 1225, 339, 609, 596, 267, 855, 942, 568, 540, 519, 9759, 264, 7498, 17606, 779, 513, 2339, 540, 4110, 7536, 663, 4908, 269, 1306, 835, 4571, 2475, 1507, 4336, 16027, 16339, 8529, 968, 933, 4076, 1185, 476, 274, 2899, 538, 513, 8536, 1032, 11811, 338, 538, 513, 4737, 713, 4005, 7536, 13070, 7517, 700, 1030, 1399, 661, 267, 594, 2119, 711, 547, 1589, 540, 12157, 339, 1696, 620, 1454, 563, 289, 559, 289, 7711, 476, 275, 267, 9811, 267, 519, 1883, 568, 602, 972, 568, 476, 275, 260, 811, 1216, 32350, 538, 519, 5790, 543, 811, 1648, 538, 519, 1062, 689, 519, 3063, 3002, 269, 634, 11186, 568, 3152, 609, 2810, 4234, 6421, 269, 1656, 2523, 950, 519, 1949, 2736, 856, 540, 741, 8912, 8513, 5638, 616, 2469, 547, 979, 563, 296, 1589, 649, 991, 547, 3746, 1047, 519, 1249, 602, 621, 568, 711, 519, 2837, 282, 607, 971, 267, 602, 568, 1271, 2073, 621, 568, 519, 1648, 602, 713, 4564, 269, 476, 1015, 547, 519, 476, 2918, 808, 537, 956, 585, 476, 272, 4110, 4473, 1131, 581, 827, 1318, 563, 1607, 1648, 1840, 786, 2333, 519, 17931, 540, 519, 4365, 3270, 563, 2005, 786, 1205, 2731, 3983, 950, 519, 3328, 2837, 4473, 20489, 476, 274, 595, 563, 2080, 779, 513, 2370, 811, 2542, 1739, 20574, 779, 6402, 454, 289, 6929, 269, 7102, 1699, 7422, 540, 1018, 519, 13323, 20837, 568, 3257, 538, 5836, 10009, 286, 9701, 649, 8263, 602, 621, 779, 8337, 1198, 568, 4867, 1373, 7670, 601, 4364, 676, 519, 918, 4673, 20324, 1861, 338, 270, 2793, 302, 13624, 320, 715, 2088, 2048, 324, 977, 20371, 2252, 596, 1413, 693, 713, 3239, 454, 28872, 32631, 267, 519, 1034, 7925, 32521, 1448, 568, 689, 519, 4411, 7297, 4947, 1524, 689, 519, 7178, 540, 23529, 269, 901, 2186, 540, 5267, 13260, 13251, 676, 519, 11848, 15835, 693, 602, 1448, 267, 3592, 899, 606, 13128, 9505, 4752, 11896, 269, 18320, 1454, 15835, 3123, 519, 1699, 547, 16173, 840, 3901, 1302, 267, 6148, 563, 6930, 30904, 1548, 2115, 547, 4755, 585, 519, 12157, 339, 8367, 547, 581, 642, 785, 5344, 888, 289, 27117, 568, 2348, 971, 1187, 609, 2250, 10530, 689, 782, 12204, 540, 12563, 281, 8894, 1432, 2115, 547, 4755, 585, 519, 12157, 339, 8367, 547, 581, 642, 785, 5344, 888, 11039, 267, 711, 2799, 13247, 689, 2799, 11626, 7509, 689, 2799, 21381, 267, 602, 779, 585, 2386, 563, 3674, 17985, 310, 513, 535, 1023, 16666, 8367, 286, 1403, 865, 1018, 786, 535, 1023, 1518, 621, 888, 288, 13455, 6175, 538, 2518, 3328, 5210, 267, 5310, 888, 19102, 1078, 13247, 815, 270, 284, 2539, 5210, 563, 26222, 2213, 12119, 2539, 5210, 815, 270, 284, 2539, 2518, 3328, 563, 3383, 513, 13455, 1875, 2987, 920, 848, 538, 2837, 3085, 1406, 7301, 325, 344, 17985, 310, 888, 5226, 924, 1318, 1284, 11232, 269, 10871, 2213, 4365, 543, 2518, 2916, 616, 711, 693, 782, 519, 1482, 3364, 269, 1548, 779, 2523, 14834, 827, 519, 2349, 582, 15696, 4026, 18469, 7708, 701, 568, 519, 21465, 2078, 1063, 2799, 1648, 538, 519, 1062, 543, 519, 1699, 19979, 4365, 3270, 563, 1103, 1198, 267, 2349, 582, 568, 19696, 19183, 540, 2916, 1689, 607, 6169, 602, 621, 779, 711, 9648, 563, 2005, 1131, 267, 855, 4620, 527, 1470, 21246, 4512, 10039, 1934, 269, 1703, 814, 1044, 513, 13455, 2333, 538, 2518, 2837, 563, 10499, 305, 267, 513, 13455, 1875, 2987, 920, 848, 538, 2837, 1131, 3747, 513, 1007, 6323, 267, 2094, 519, 10237, 894, 1648, 3666, 2982, 602, 519, 4541, 568, 21716, 811, 2121, 3859, 1648, 982, 621, 729, 476, 2412, 1296, 3516, 269, 2334, 3002, 1590, 979, 12341, 610, 943, 338, 923, 568, 711, 607, 2312, 607, 649, 2219, 269, 2334, 538, 513, 2631, 568, 1018, 570, 1066, 828, 628, 779, 540, 339, 2275, 1243, 8343, 729, 827, 563, 27716, 267, 1810, 1406, 596, 5642, 21650, 723, 1022, 15683, 888, 2691, 596, 2097, 10404, 1944, 513, 5458, 1297, 540, 3810, 8036, 3744, 267, 596, 991, 547, 581, 11439, 1945, 1732, 982, 513, 12157, 339, 6241, 269, 4706, 513, 1743, 784, 657, 31959, 563, 3963, 31274, 593, 1818, 971, 535, 8962, 540, 707, 2383, 286, 901, 8631, 568, 782, 593, 1857, 2594, 1934, 596, 917, 1107, 707, 1378, 3214, 786, 14902, 693, 707, 3068, 543, 1289, 596, 513, 535, 1406, 731, 952, 596, 2461, 4636, 269, 6904, 267, 13071, 3068, 621, 267, 596, 3592, 6157, 616, 563, 14722, 642, 5642, 3650, 7682, 532, 2257, 1175, 1590, 581, 4636, 5430, 968, 296, 21645, 899, 751, 327, 13983, 839, 256, 9731, 296, 1589, 649, 782, 917, 875, 713, 6474, 7475, 269, 1411, 1413, 899, 535, 8962, 267, 543, 4896, 945, 21898, 338, 547, 3247, 543, 6432, 547, 596, 3649, 1080, 547, 1279, 547, 11574, 563, 4916, 3371, 779, 513, 9843, 909, 281, 2048, 293, 1023, 4328, 519, 17985, 310, 8367, 685, 1496, 338, 545, 316, 786, 2154, 596, 547, 1265, 930, 13455, 2608, 5271, 2064, 265, 540, 513, 3621, 2470, 602, 519, 1158, 568, 711, 8337, 267, 543, 5924, 602, 621, 568, 711, 3361, 676, 1480, 2534, 563, 296, 3580, 581, 19914, 547, 6432, 547, 543, 9260, 1022, 1007, 1344, 538, 602, 18916, 563, 24404, 16660, 267, 513, 13455, 1875, 2987, 920, 848, 538, 519, 2518, 3328, 2837, 1131, 535, 1023, 1518, 17985, 310, 269, 634, 2518, 3328, 2837, 814, 1044, 8375, 585, 827, 519, 2063, 476, 2412, 547, 476, 2004, 1296, 267, 538, 1899, 609, 9273, 540, 519, 2837, 4473, 547, 581, 4397, 689, 519, 2810, 5834, 540, 3327, 8166, 538, 519, 5790, 269, 1403, 649, 7747, 513, 476, 1789, 1032, 9023, 7678, 609, 2810, 3327, 8166, 267, 17985, 310, 786, 581, 535, 1023, 1881, 563, 2252, 596, 1616, 547, 917, 1018, 5210, 723, 1044, 3257, 267, 2307, 1004, 945, 2268, 2837, 563, 2252, 596, 267, 12448, 12157, 339, 267, 26391, 3057, 2129, 6470, 610, 11835, 22828, 26467, 1782, 1616, 547, 581, 3144, 12517, 267, 5225, 1101, 3801, 519, 1739, 6514, 563, 11742, 281, 17823, 10117, 3764, 454, 5591, 8100, 538, 1022, 3898, 267, 593, 11060, 610, 6382, 267, 15868, 563, 9223, 476, 272, 269, 630, 274, 7436, 264, 1215, 1082, 8444, 538, 513, 11140, 540, 3327, 8166, 888, 9223, 476, 273, 269, 630, 5325, 7436, 264, 4208, 568, 519, 2626, 547, 7726, 476, 272, 269, 4143, 547, 2916, 2257, 888, 9223, 476, 274, 269, 630, 2004, 7436, 264, 11512, 519, 2956, 540, 1142, 540, 519, 1883, 1374, 2934, 540, 513, 21862, 21672, 5496, 563, 27879, 1665, 281, 476, 4037, 14999, 293, 3757, 1107, 3143, 2243, 729, 581, 13949, 269, 7183, 519, 1447, 594, 3398, 519, 2626, 607, 6035, 563, 8802, 8973, 519, 3002, 1689, 2094, 476, 2412, 1296, 3516, 1100, 1007, 6323, 568, 2877, 607, 649, 7747, 602, 519, 1158, 568, 15911, 982, 476, 2412, 1296, 3516, 269, 1215, 1281, 519, 4767, 3002, 10338, 8984, 540, 519, 3618, 5635, 547, 2161, 476, 1911, 1296, 3516, 888, 763, 623, 1824, 17043, 4659, 1353, 568, 10578, 282, 594, 9327, 1406, 2543, 1079, 24475, 607, 1373, 9170, 2282, 2614, 547, 2721, 6109, 8753, 593, 519, 6111, 540, 741, 11236, 267, 855, 606, 9000, 540, 630, 338, 11211, 264, 2963, 568, 711, 2963, 540, 9000, 563, 2026, 585, 1141, 519, 3636, 4365, 779, 8854, 267, 519, 2626, 568, 23529, 543, 1454, 540, 11848, 4516, 267, 799, 814, 1044, 14320, 2417, 1657, 3339, 982, 7187, 2342, 814, 1044, 2630, 630, 1492, 5177, 786, 2097, 538, 1472, 476, 275, 268, 276, 5232, 2630, 3339, 585, 5412, 282, 1713, 2694, 540, 23529, 543, 4516, 616, 476, 1015, 5232, 610, 811, 1657, 1040, 898, 3085, 1406, 4010, 723, 519, 1764, 540, 513, 1906, 1298, 22015, 637, 540, 6777, 693, 1261, 987, 992, 630, 528, 513, 2603, 540, 1298, 22015, 637, 540, 6777, 538, 1715, 3840, 1070, 855, 1079, 540, 519, 1292, 7187, 8225, 11287, 4609, 267, 22823, 8235, 543, 24419, 514, 769, 2280, 267, 5063, 6603, 476, 271, 585, 519, 1101, 942, 2479, 538, 5412, 269, 589, 23529, 3135, 6603, 1341, 1704, 538, 519, 2063, 3018, 540, 5437, 563, 17471, 5210, 585, 476, 1001, 271, 616, 2693, 547, 2901, 1175, 2736, 610, 1175, 4413, 513, 2594, 1107, 12691, 547, 581, 811, 982, 476, 271, 269, 6349, 4110, 538, 621, 2901, 1259, 269, 4934, 540, 476, 2537, 2518, 4525, 1152, 835, 267, 7187, 5245, 267, 729, 4881, 2630, 3339, 585 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 7712, 11543, 922, 7115, 476, 2004, 1296, 3516, 267, 16273, 4718, 922, 10867, 9019, 2557, 7771, 676, 476, 5952, 9077, 606, 13778, 1967, 602, 7512, 519, 8128, 547, 979, 1657, 543, 3564, 547, 2417, 2569, 519, 9019, 2557, 1851, 12256, 267, 11299, 267, 543, 1762, 1453, 538, 519, 1739, 1296, 563, 763, 2622, 7813, 9193, 602, 538, 476, 3192, 272, 267, 693, 519, 942, 540, 16273, 779, 7115, 267, 519, 10867, 9019, 2557, 6603, 476, 15221, 7972, 829, 476, 272, 267, 1822, 2661, 24570, 269, 4653, 267, 602, 2557, 568, 7123, 693, 476, 2641, 7972, 829, 476, 272, 267, 1822, 2661, 24570, 563, 1103, 476, 1220, 280, 267, 519, 14774, 9019, 2557, 729, 476, 29483, 829, 476, 1911, 267, 1822, 2661, 24570, 269, 21298, 267, 621, 11689, 1242, 693, 476, 13679, 267, 543, 519, 2229, 30242, 547, 723, 1447, 982, 476, 2004, 7972, 829, 476, 1911, 267, 1822, 2661, 24570, 269, 901, 3804, 568, 13988, 609, 519, 8471, 476, 10711, 271, 3077, 540, 1447, 982, 476, 3583, 14774, 7972, 829, 476, 1911, 267, 1822, 2661, 24570, 543, 476, 1321, 30564, 7972, 829, 476, 272, 267, 1822, 2661, 24570, 269, 1306, 585, 519, 9019, 5223, 540, 1453, 630, 8974, 2947, 1296, 2025, 1070, 16273, 814, 1305, 621, 547, 476, 736, 829, 476, 272, 267, 1822, 676, 476, 10711, 276, 267, 3592, 3368, 519, 476, 10711, 271, 8471, 3077, 540, 476, 4343, 1126, 7972, 829, 476, 272, 267, 1822, 269, 11374, 922, 7115, 267, 519, 2197, 5059, 593, 14774, 1072, 267, 1920, 4058, 267, 543, 1126, 6484, 543, 547, 602, 1198, 267, 972, 616, 476, 274, 267, 3607, 275, 9769, 1072, 543, 1920, 10304, 7740, 609, 476, 273, 267, 6245, 540, 873, 5356, 476, 2190, 16923, 2922, 6765, 6703, 1169, 1554, 269, 0, 2750, 1815, 5737, 12834, 13127, 509, 371, 27310, 418, 495, 502, 28884, 454, 2467, 616, 1585, 30973, 6436, 543, 6163, 540, 5718, 799, 616, 1373, 13736, 676, 3906, 5001, 269, 15742, 30973, 6436, 543, 6163, 540, 5718, 1131, 1152, 581, 10858, 1759, 593, 2188, 971, 607, 519, 2528, 1369, 799, 519, 3919, 13333, 269, 16444, 20092, 1373, 513, 2197, 1141, 968, 12741, 2528, 892, 814, 1044, 8789, 814, 547, 1246, 1447, 8465, 267, 811, 3665, 30973, 6436, 543, 6163, 540, 5718, 971, 607, 17755, 2958, 528, 779, 2473, 312, 7869, 543, 4201, 7095, 610, 8191, 9107, 15557, 2511, 6606, 563, 2005, 814, 1044, 4857, 602, 972, 616, 1585, 5383, 543, 11393, 540, 13197, 1978, 5718, 6163, 269, 1717, 267, 621, 568, 2312, 602, 4830, 540, 519, 2511, 540, 5718, 1031, 267, 952, 519, 6205, 568, 606, 2500, 6205, 267, 713, 1131, 581, 513, 1390, 4222, 585, 606, 3919, 563, 24092, 15873, 1229, 7813, 2348, 4080, 5722, 20422, 1296, 540, 2594, 4747, 543, 6024, 7269, 540, 2344, 2671, 267, 5103, 519, 4540, 2518, 2804, 2783, 267, 814, 1044, 6444, 607, 835, 540, 519, 1158, 779, 3056, 8492, 269, 634, 1967, 568, 7357, 513, 1267, 540, 519, 4674, 540, 9441, 2516, 543, 3401, 540, 519, 4871, 945, 723, 1044, 6534, 547, 513, 2189, 2528, 799, 814, 1044, 4547, 909, 693, 519, 4871, 563, 2304, 3919, 666, 581, 3989, 607, 513, 1895, 540, 2043, 2324, 1927, 547, 3035, 513, 1455, 3804, 610, 6662, 269, 1677, 3035, 891, 1455, 3853, 543, 6859, 606, 3919, 1131, 2154, 5718, 607, 1134, 607, 8404, 269, 1703, 616, 1585, 6163, 540, 5718, 543, 30973, 6436, 799, 616, 13736, 676, 3906, 538, 1931, 547, 3035, 519, 5551, 1267, 269, 26361, 782, 267, 2500, 5718, 1223, 581, 4857, 607, 835, 540, 519, 1655, 30973, 2188, 563, 2304, 3573, 2079, 3823, 9208, 15873, 1229, 7813, 814, 1044, 2944, 609, 519, 3483, 540, 7421, 3252, 540, 2516, 267, 6887, 543, 5718, 1369, 3906, 563, 24092, 15873, 1229, 623, 9448, 568, 513, 3703, 2883, 2533, 2754, 2212, 32483, 1229, 538, 5507, 267, 4789, 609, 4238, 538, 811, 982, 29235, 2477, 269, 898, 13333, 513, 3060, 540, 936, 476, 272, 267, 10384, 8371, 543, 19093, 630, 10175, 13564, 25808, 267, 27498, 543, 4745, 26136, 264, 543, 18271, 476, 3199, 267, 1822, 1004, 269, 6736, 922, 3703, 3490, 267, 621, 814, 1906, 5561, 538, 519, 2136, 8003, 543, 1472, 476, 3445, 260, 540, 922, 12434, 2097, 689, 5607, 267, 4000, 267, 543, 519, 5664, 5101, 563, 300, 582, 643, 1049, 28636, 543, 15557, 13127, 489, 499, 418, 358, 509, 419, 494, 484, 420, 360, 500, 420, 486, 485, 421, 510, 502, 16533, 492, 20693, 505, 454, 300, 582, 10474, 1223, 581, 3989, 607, 513, 5626, 1184, 1141, 4835, 543, 5007, 2188, 3310, 513, 1268, 547, 581, 11179, 5461, 538, 13197, 543, 8236, 3853, 269, 898, 1223, 581, 1767, 602, 8404, 7506, 513, 1268, 779, 7180, 693, 960, 543, 6038, 875, 646, 15824, 1282, 519, 2816, 269, 1703, 616, 1585, 30973, 6436, 4553, 676, 3906, 547, 18663, 741, 5520, 543, 930, 540, 891, 6436, 616, 5941, 2630, 563, 300, 582, 643, 1049, 28636, 13127, 489, 499, 418, 358, 509, 419, 494, 484, 420, 360, 500, 454, 291, 537, 6921, 553, 17755, 2958, 528, 779, 7869, 2473, 543, 7869, 962, 17276, 510, 376, 418, 489, 487, 13161, 363, 6440, 421, 374, 354, 21550, 376, 421, 505, 371, 16043, 486, 7511, 311, 419, 494, 484, 420, 360, 500, 25520, 312, 419, 494, 484, 420, 360, 500, 454, 291, 537, 6921, 553, 17755, 2958, 528, 814, 2919, 1079, 3631, 799, 616, 1634, 607, 7869, 2473, 543, 7869, 962, 269, 1452, 1079, 6436, 941, 19775, 998, 6514, 540, 6436, 593, 1367, 7180, 693, 960, 563, 291, 537, 6921, 553, 17755, 2958, 528, 779, 7869, 2473, 2829, 602, 606, 3328, 1480, 1373, 20247, 10105, 960, 267, 27422, 547, 581, 9859, 267, 30417, 5539, 267, 814, 2370, 610, 1100, 20440, 267, 1568, 585, 2724, 543, 5631, 3354, 563, 763, 800, 2473, 814, 2016, 4473, 547, 1079, 2359, 4485, 267, 799, 616, 519, 2571, 543, 2182, 1935, 269, 7201, 519, 2571, 2359, 1935, 267, 9946, 3343, 10103, 609, 519, 5520, 896, 519, 12705, 602, 5520, 1131, 28111, 609, 873, 950, 2556, 269, 7316, 267, 896, 519, 2182, 2359, 1935, 606, 9441, 814, 547, 581, 1071, 518, 1027, 267, 6417, 267, 9859, 543, 12219, 11489, 519, 4397, 1267, 621, 6913, 563, 4913, 267, 621, 1058, 581, 7074, 602, 9039, 540, 519, 26037, 616, 5078, 607, 5520, 2154, 811, 982, 13075, 12587, 267, 789, 2154, 16180, 741, 2362, 1931, 2115, 269, 898, 568, 6956, 519, 1292, 2601, 585, 3906, 547, 946, 713, 1935, 568, 547, 2327, 602, 5520, 13789, 538, 519, 4397, 6073, 563, 763, 800, 962, 267, 7429, 7869, 2473, 5654, 693, 606, 3328, 1480, 1373, 689, 513, 811, 23904, 5086, 269, 7869, 962, 2829, 602, 606, 3328, 1480, 1373, 15055, 960, 267, 1463, 338, 5128, 267, 24693, 543, 11394, 5539, 563, 763, 800, 962, 1131, 581, 811, 4570, 543, 568, 1031, 676, 3906, 607, 713, 1131, 1267, 538, 2362, 2157, 540, 8404, 585, 5520, 998, 12805, 10721, 3853, 609, 2123, 3853, 269, 4329, 267, 713, 1131, 1291, 547, 9441, 16882, 607, 5876, 543, 4316, 547, 3635, 11036, 568, 4847, 563, 300, 553, 869, 779, 28762, 8944, 540, 20126, 7869, 28859, 355, 361, 13161, 363, 418, 368, 505, 7511, 421, 506, 478, 418, 365, 480, 31271, 353, 418, 361, 350, 419, 494, 484, 420, 360, 500, 454, 300, 553, 869, 779, 28762, 8944, 540, 20126, 7869, 14753, 540, 2947, 2516, 540, 2596, 2115, 799, 2356, 18663, 7180, 538, 1082, 4529, 269, 1452, 2596, 2115, 616, 4284, 8344, 267, 8881, 267, 4317, 267, 661, 4614, 655, 20126, 543, 8682, 2920, 783, 1436, 563, 1103, 16549, 869, 779, 28762, 8944, 540, 20126, 7869, 267, 2899, 513, 991, 814, 1044, 13854, 267, 519, 7287, 547, 14183, 513, 2362, 991, 14380, 269, 9747, 267, 513, 1268, 1131, 581, 12592, 547, 1685, 1732, 563, 16391, 3074, 1131, 946, 713, 3069, 547, 6430, 593, 1018, 1826, 540, 8404, 2115, 547, 581, 2016, 547, 922, 5520, 269, 20871, 946, 713, 3069, 676, 7114, 267, 419, 369, 482, 419, 373, 498, 16533, 485, 10254, 358, 17958, 20881, 503, 13601, 419, 494, 484, 420, 360, 500, 28032, 484, 418, 365, 374, 27936, 421, 506, 478, 28884, 419, 369, 355, 417, 497, 350, 26266, 354, 10524, 478, 18263, 486, 418, 357, 352, 7511, 418, 379, 478, 417, 489, 369, 12486, 419, 369, 482, 419, 373, 498, 20881, 504, 421, 479, 492, 420, 511, 502, 10254, 354, 8147, 454, 6826, 6409, 21831, 540, 606, 1367, 693, 513, 2016, 4090, 5673, 593, 1010, 16999, 991, 13127, 478, 489, 32512, 21928, 29830, 373, 27936, 418, 30904, 10254, 375, 7511, 27310, 27384, 374, 9463, 500, 418, 365, 374, 30678, 10429, 370, 31006, 19764, 371, 419, 481, 486, 7511, 421, 506, 478, 418, 365, 480, 454, 24357, 8344, 2115, 723, 519, 5207, 4222, 543, 513, 5354, 540, 5520, 1131, 960, 547, 14183, 713, 1377, 1152, 476, 13200, 509, 419, 494, 484, 421, 506, 478, 418, 365, 480, 10429, 371, 20069, 31006, 421, 360, 502, 19764, 371, 18021, 355, 8147, 27962, 14035, 504, 10533, 372, 417, 497, 350, 26266, 354, 9463, 359, 420, 25693, 418, 375, 379, 420, 370, 367, 20881, 503, 13601, 418, 364, 368, 23946, 367, 454, 2304, 5667, 15384, 30829, 991, 6411, 607, 513, 8404, 3815, 476, 10951, 359, 418, 375, 379, 420, 370, 367, 7511, 421, 506, 478, 418, 365, 480, 15159, 417, 489, 499, 418, 358, 509, 18713, 510, 27381, 510, 454, 5629, 513, 991, 568, 13854, 519, 7287, 547, 3035, 513, 2362, 1931, 991, 14380, 476, 13601, 20721, 355, 421, 506, 478, 418, 365, 480, 23523, 501, 28996, 418, 375, 379, 420, 370, 367, 8147, 21382, 355, 419, 493, 378, 418, 505, 368, 421, 360, 502, 421, 504, 492, 421, 506, 478, 418, 365, 480, 7511, 418, 482, 379, 10951, 505, 16533, 365, 10951, 481, 31968, 22287, 485, 454, 288, 13854, 991, 1131, 1100, 3476, 957, 607, 513, 8404, 3815, 17276, 375, 379, 420, 370, 367, 7511, 421, 506, 478, 418, 365, 480, 21251, 19540, 491, 15159, 417, 489, 499, 418, 358, 509, 18713, 510, 27381, 510, 454, 2207, 294, 7869, 18317, 294, 419, 494, 484, 420, 360, 500, 454, 2207, 294, 7869, 20998, 16549, 869, 779, 28762, 8944, 540, 20126, 7869, 269, 18317, 294, 7869, 814, 1614, 2516, 540, 2115, 269, 7316, 519, 1101, 1895, 1131, 581, 1401, 14571, 20126, 630, 328, 4318, 269, 2168, 543, 1570, 6499, 1070, 2034, 1895, 1131, 581, 13565, 1145, 20126, 630, 328, 4318, 269, 7287, 585, 14375, 3347, 264, 543, 3791, 1895, 1131, 581, 12618, 20126, 630, 328, 4318, 269, 7287, 547, 581, 3860, 543, 11327, 1040, 1717, 267, 7429, 16549, 869, 779, 28762, 8944, 540, 20126, 7869, 267, 519, 18317, 294, 7869, 2829, 267, 952, 21616, 538, 3843, 547, 14183, 12618, 20126, 267, 13565, 1145, 20126, 786, 556, 15041, 10235, 630, 325, 745, 1598, 566, 9695, 1184, 1916, 16391, 3074, 1131, 946, 18317, 294, 3069, 547, 948, 873, 2697, 741, 9441, 779, 6422, 2115, 543, 948, 519, 3906, 547, 1174, 1946, 5520, 723, 971, 6422, 2115, 630, 328, 4318, 269, 2899, 9547, 11144, 4386, 519, 2115, 1689, 543, 2899, 17140, 9695, 4386, 2115, 1689, 2899, 1586, 1916, 15463, 345, 6199, 5565, 16748, 7869, 610, 31802, 30719, 7869, 4173, 345, 6199, 421, 505, 503, 18713, 510, 27381, 510, 419, 494, 484, 420, 360, 500, 16043, 500, 417, 489, 499, 418, 358, 509, 16141, 505, 13200, 509, 419, 494, 484, 420, 360, 500, 454, 15463, 345, 6199, 1310, 8876, 856, 1082, 12220, 11943, 602, 547, 1174, 9441, 9547, 610, 27025, 8351, 960, 1185, 547, 581, 5258, 883, 1079, 6688, 563, 300, 582, 10474, 11790, 281, 11790, 799, 616, 2178, 20334, 547, 2816, 9547, 563, 20812, 8958, 11790, 281, 11790, 799, 616, 711, 2178, 20334, 547, 2816, 9547, 855, 799, 1590, 581, 1459, 547, 2743, 606, 9441, 779, 6788, 543, 2061, 2816, 27025, 8351, 563, 297, 984, 3354, 13127, 371, 354, 30853, 14395, 487, 10429, 357, 26233, 356, 454, 9824, 725, 609, 1866, 29635, 486, 485, 10524, 500, 32512, 7511, 25426, 506, 419, 367, 375, 454, 16498, 2324, 2175, 22614, 487, 358, 419, 494, 484, 26266, 354, 30853, 418, 351, 507, 10524, 370, 454, 4467, 11952, 4507, 476, 10429, 361, 9463, 372, 418, 498, 379, 419, 511, 500, 454, 26660, 540, 15569, 22614, 505, 352, 419, 507, 352, 420, 367, 359, 19404, 493, 454, 300, 582, 10474, 11790, 281, 17276, 379, 478, 417, 489, 369, 18713, 510, 27381, 510, 16088, 454, 302, 653, 1953, 885, 585, 2123, 2208, 13127, 478, 489, 32512, 29873, 421, 499 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 676, 519, 5842, 17312, 5443, 267, 7598, 7989, 20628, 1374, 3091, 606, 4316, 547, 11177, 2686, 6561, 1247, 5807, 1582, 25252, 11797, 543, 2825, 6940, 269, 13018, 267, 713, 1223, 4125, 1384, 272, 269, 1234, 842, 18166, 7087, 12518, 910, 10163, 648, 5065, 18508, 602, 2899, 4278, 1882, 538, 519, 17833, 1695, 926, 5117, 543, 3177, 1898, 1426, 2959, 585, 519, 5842, 2146, 269, 6201, 1331, 544, 784, 784, 334, 10808, 630, 305, 545, 514, 30705, 1258, 986, 27175, 523, 4512, 1070, 2261, 3121, 5613, 630, 306, 13406, 665, 776, 320, 2840, 16699, 1070, 543, 3552, 512, 338, 4821, 5283, 976, 630, 290, 527, 337, 1638, 639, 26816, 9850, 15254, 269, 3632, 549, 1938, 1916, 273, 269, 26787, 5253, 5983, 7370, 910, 8073, 3818, 2000, 599, 1229, 29436, 1150, 2722, 1949, 9256, 4829, 4054, 267, 2428, 7031, 267, 19211, 267, 30676, 267, 543, 2666, 1723, 951, 269, 1452, 3309, 31174, 1137, 2333, 2949, 11729, 267, 1489, 25199, 543, 824, 6225, 7103, 267, 543, 2087, 3037, 12680, 563, 274, 269, 20074, 4826, 28610, 532, 9828, 910, 20472, 3618, 4103, 971, 607, 2220, 2297, 267, 31619, 806, 267, 543, 2638, 21394, 547, 3500, 1524, 20359, 267, 2569, 11761, 267, 543, 22507, 11895, 6864, 28875, 269, 3958, 267, 2015, 16459, 30620, 12555, 1949, 547, 18359, 1216, 543, 7413, 18493, 894, 9271, 563, 275, 269, 26472, 10960, 26036, 7171, 787, 910, 29130, 23161, 267, 17944, 267, 610, 824, 1507, 13184, 2249, 9862, 547, 25545, 5054, 607, 4244, 3940, 2959, 543, 23226, 12696, 585, 24600, 543, 22289, 5301, 563, 276, 269, 8490, 3047, 2701, 2741, 1229, 23113, 910, 22982, 12725, 2139, 2326, 899, 5070, 321, 4711, 610, 25865, 547, 4020, 12809, 3859, 17743, 902, 602, 2226, 6899, 5210, 1032, 15778, 609, 8766, 1648, 3403, 563, 277, 269, 674, 29183, 7991, 30880, 910, 18918, 22242, 543, 6107, 7567, 538, 4058, 267, 6388, 267, 543, 5826, 3646, 547, 2327, 29076, 1702, 4483, 543, 7794, 1514, 7554, 1369, 519, 2146, 780, 6962, 692, 3528, 7311, 7989, 20628, 1374, 3741, 1851, 519, 5842, 17312, 5443, 267, 649, 666, 6536, 27532, 8916, 602, 12115, 3140, 16398, 1102, 21719, 676, 19525, 543, 7668, 2950, 547, 22919, 1852, 936, 741, 1426, 2504, 1949, 269, 1306, 7152, 538, 1585, 2013, 2090, 5001, 267, 7989, 20628, 3091, 4052, 3435, 3358, 547, 1808, 8658, 1247, 5009, 12581, 1569, 547, 2635, 267, 15520, 3617, 11326, 269, 3414, 10319, 1565, 543, 17634, 267, 1053, 540, 24972, 22450, 543, 6683, 1796, 547, 2744, 3407, 4030, 883, 4264, 2713, 2853, 10858, 2066, 3309, 5468, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 24281, 513, 2244, 540, 4334, 267, 9814, 543, 1296, 540, 22030, 267, 513, 1507, 8498, 540, 936, 476, 4968, 1004, 593, 519, 6316, 540, 519, 17833, 1695, 926, 538, 21601, 28992, 10351, 3990, 513, 1007, 7989, 20628, 30840, 1788, 538, 5130, 540, 476, 1001, 273, 269, 769, 6158, 609, 519, 2212, 2006, 540, 519, 8498, 267, 646, 3838, 602, 741, 1004, 267, 519, 5842, 17312, 5443, 267, 723, 5030, 538, 10103, 609, 519, 2244, 607, 25433, 575, 520, 1877, 3464, 585, 552, 976, 269, 1358, 616, 1419, 11855, 607, 519, 1101, 9082, 540, 4000, 543, 1360, 2693, 782, 540, 8103, 949, 723, 26731, 689, 741, 16034, 1082, 27453, 3516, 563, 763, 8498, 9632, 8909, 569, 3838, 602, 19525, 814, 10032, 519, 5842, 27436, 1259, 540, 1272, 2443, 513, 25433, 575, 520, 1877, 337, 2245, 602, 729, 4264, 585, 5215, 540, 1296, 269, 1261, 5143, 721, 602, 789, 941, 1100, 3476, 4847, 547, 887, 600, 11884, 543, 512, 15577, 21962, 10032, 519, 5318, 31459, 540, 3014, 602, 4646, 741, 9030, 3761, 540, 1426, 269, 5637, 4563, 543, 6519, 6705, 7567, 3710, 909, 5458, 31459, 540, 12418, 602, 10032, 519, 14498, 540, 519, 17833, 1695, 926, 543, 13604, 519, 3536, 602, 1185, 1044, 741, 20013, 2732, 269, 1358, 4166, 535, 1735, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 303, 1069, 20628, 5071, 257, 607, 851, 540, 834, 294, 19181, 2894, 5058, 1315, 17667, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 279, 281, 9442, 12229, 543, 8490, 8262, 8950, 7010, 692, 5331, 596, 2811, 2324, 593, 513, 2462, 1895, 1788, 609, 707, 2828, 269, 3962, 1268, 814, 513, 1808, 4305, 267, 855, 3025, 2115, 547, 2671, 741, 960, 543, 12840, 865, 602, 3388, 2501, 1927, 607, 4397, 269, 1411, 1522, 946, 2645, 899, 4757, 267, 3838, 6054, 267, 610, 8216, 6835, 547, 5968, 543, 5385, 1344, 269, 3767, 4952, 713, 8345, 1063, 5904, 3079, 256, 2334, 781, 1141, 834, 332, 1497, 2264, 257, 3268, 538, 1107, 621, 2337, 1114, 2780, 3292, 2911, 547, 1142, 824, 3362, 780, 2467, 616, 1585, 2010, 540, 1647, 2264, 267, 855, 2221, 267, 1577, 781, 2263, 834, 332, 612, 1645, 1647, 2264, 2437, 799, 3096, 1018, 649, 1289, 1412, 23890, 2215, 14476, 9538, 6056, 540, 891, 607, 2241, 1913, 610, 3527, 602, 948, 5904, 1174, 875, 789, 991, 547, 2170, 269, 11619, 1645, 1647, 2264, 13071, 5904, 6494, 543, 4309, 6835, 5627, 1271, 1239, 267, 3850, 873, 547, 1628, 3677, 267, 4448, 1949, 780, 4131, 781, 1413, 693, 606, 1383, 281, 14597, 972, 781, 513, 2442, 2228, 3014, 609, 6634, 540, 5716, 5001, 269, 10794, 13763, 1590, 3533, 1184, 6345, 3527, 1247, 21130, 1169, 3593, 781, 5496, 16900, 269, 1677, 798, 713, 7561, 267, 9367, 1131, 946, 20261, 1647, 2264, 1317, 621, 5849, 5347, 7391, 1851, 782, 1346, 10562, 5904, 269, 901, 1259, 267, 950, 596, 7914, 936, 6821, 610, 2445, 11113, 267, 707, 1915, 781, 5322, 9337, 7157, 2066, 2789, 3457, 2439, 3086, 267, 5635, 713, 547, 1776, 1505, 1572, 22647, 26488, 11910, 630, 14641, 290, 1040, 5994, 1373, 851, 540, 513, 20794, 5198, 2319, 269, 1879, 835, 27460, 26088, 741, 22272, 267, 789, 1780, 513, 10627, 517, 547, 519, 1985, 27460, 547, 1832, 2469, 269, 6684, 267, 681, 15425, 2636, 5904, 547, 1685, 4247, 1175, 899, 8429, 519, 10627, 517, 1394, 543, 8521, 269, 1717, 267, 20261, 1647, 2264, 3091, 811, 8112, 2094, 621, 3085, 1405, 2154, 606, 7525, 3210, 899, 681, 15425, 1281, 269, 5502, 267, 1589, 540, 11488, 2022, 11568, 547, 707, 4050, 5493, 1107, 596, 2328, 1524, 707, 4555, 8164, 596, 1616, 267, 6616, 789, 786, 1224, 543, 4431, 2663, 780, 5278, 1134, 8153, 681, 15425, 2861, 5054, 1331, 13013, 293, 667, 4753, 267, 9786, 781, 681, 15425, 267, 5871, 8629, 32369, 7935, 12027, 15339, 630, 290, 3036, 10621, 1070, 3281, 9426, 8629, 7844, 630, 26376, 1070, 543, 27617, 10084, 6826, 753, 630, 292, 297, 24871, 1040, 1452, 4066, 723, 5280, 3337, 2413, 7384, 998, 13387, 2081, 540, 2679, 1950, 1949, 269, 1809, 3314, 267, 938, 1445, 1934, 568, 5097, 593, 20261, 1647, 2264, 267, 799, 4249, 513, 2629, 1909, 538, 7175, 1804, 5121, 540, 5904, 547, 5968, 3927, 780, 3383, 1631, 596, 917, 827, 20261, 1647, 2264, 543, 922, 2956, 538, 14335, 5318, 267, 7471, 2780, 1949, 269, 1306, 2029, 8441, 543, 3587, 5051, 6946, 267, 1620, 2035, 899, 891, 786, 1152, 1332, 811, 4105, 269, 5901, 3695, 543, 3251, 8049, 1107, 945, 6487, 286, 9320, 14693, 9358, 3513, 1020, 519, 1985, 14262, 4062, 540, 1647, 2264, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 21093, 634, 24606, 454, 268, 1635, 7665, 623, 269, 6182, 27591, 454, 268, 4864, 476, 2641, 267, 476, 1220, 272, 454, 300, 612, 1645, 1647, 2264, 568, 2792, 3301, 1031, 547, 1711, 1804, 7856, 1949, 267, 519, 1482, 1259, 1022, 824, 1106, 540, 1647, 2264, 568, 269, 898, 568, 711, 2653, 547, 2285, 1256, 513, 11315, 30953, 540, 519, 1647, 2264, 2361, 282, 2705, 267, 952, 835, 941, 547, 3274, 19665, 1647, 2264, 1759, 593, 519, 1826, 540, 2792, 2215, 14476, 621, 2488, 267, 1919, 1831, 12863, 269, 1703, 616, 10416, 1079, 968, 321, 3089, 1115, 892, 2443, 519, 20261, 1647, 2264, 19943, 543, 519, 19943, 540, 1647, 2264, 1210, 519, 6552, 5650, 1289, 630, 14641, 290, 264, 2443, 543, 1034, 2472, 630, 5976, 930, 17756, 264, 666, 3514, 883, 835, 610, 519, 824, 563, 1103, 519, 2250, 8717, 267, 519, 1647, 2264, 538, 519, 2034, 19943, 814, 3144, 519, 30425, 676, 2921, 1082, 3029, 267, 2870, 1082, 4441, 543, 4742, 519, 1445, 540, 1486, 26167, 4441, 12959, 269, 7324, 519, 3029, 540, 681, 15425, 2861, 5054, 649, 666, 26246, 616, 13013, 293, 667, 4753, 267, 9786, 779, 681, 15425, 267, 2910, 305, 10621, 543, 267, 538, 519, 2250, 1906, 1296, 267, 519, 2479, 1790, 6974, 7856, 5057, 5054, 540, 2910, 300, 543, 27617, 10084, 268, 2142, 753, 630, 292, 297, 24871, 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, 7705, 281, 19850, 7585, 256, 594, 4862, 596, 4682, 6177, 8384, 609, 707, 1920, 2063, 15964, 269, 1215, 729, 621, 2496, 7692, 281, 898, 729, 1390, 267, 7705, 256, 1284, 4718, 865, 1082, 1114, 5686, 540, 5017, 269, 3733, 5172, 729, 519, 2699, 26310, 539, 3109, 12704, 780, 8334, 281, 2334, 781, 3579, 256, 1548, 2306, 2576, 513, 1434, 6177, 5349, 7815, 2496, 7692, 281, 4270, 267, 596, 991, 547, 2628, 3007, 547, 3877, 899, 519, 2681, 267, 2450, 267, 543, 3337, 540, 519, 5017, 269, 1411, 849, 991, 547, 917, 1141, 547, 1413, 585, 873, 269, 2368, 5017, 2661, 538, 7733, 267, 1247, 1866, 4782, 19126, 610, 26377, 780, 8334, 281, 1656, 945, 666, 948, 721, 1451, 782, 1346, 1919, 2496, 7692, 281, 589, 2470, 3391, 610, 513, 6177, 342, 10248, 3391, 666, 2731, 948, 269, 1358, 616, 899, 3610, 945, 917, 513, 2603, 827, 5017, 543, 666, 1397, 721, 1141, 547, 1265, 873, 780, 8334, 281, 1924, 267, 789, 616, 2186, 540, 899, 6177, 4966, 267, 1318, 2496, 7692, 281, 8786, 267, 4010, 256, 1358, 616, 1572, 15022, 603, 5505, 269, 1358, 6108, 741, 2898, 1272, 4974, 5017, 543, 1565, 3388, 972, 568, 547, 917, 827, 873, 780, 8334, 281, 26272, 267, 602, 781, 5863, 256, 1809, 1946, 1131, 2576, 1616, 547, 1353, 5017, 585, 741, 3003, 1272, 2496, 7692, 281, 4270, 267, 5017, 1404, 513, 2462, 1909, 538, 938, 5117, 269, 1358, 948, 1852, 10860, 267, 3542, 3729, 2371, 267, 543, 3262, 5452, 269, 1635, 4974, 873, 267, 649, 666, 1451, 875, 547, 2149, 873, 543, 1832, 938, 1604, 2635, 780, 8334, 281, 7937, 267, 594, 1294, 256, 1924, 267, 952, 649, 1491, 1416, 540, 519, 5017, 267, 789, 786, 1491, 1416, 540, 721, 1932, 780, 7692, 281, 22549, 267, 7705, 256, 3807, 899, 875, 2921, 1416, 540, 938, 10130, 2306, 873, 6126, 543, 2635, 780, 8334, 281, 2334, 2306, 2631, 269, 1809, 1018, 798, 6177, 342, 10248, 10274, 2965, 798, 950, 789, 1491, 721, 6177, 8384, 2496, 7692, 281, 1358, 2356, 1376, 676, 7713, 930, 2596, 3652, 267, 899, 711, 1818, 10978, 21089, 610, 3478, 1932, 2673, 547, 519, 5017, 269, 3973, 267, 789, 1291, 721, 547, 4025, 1141, 649, 666, 1294, 1114, 5686, 540, 5017, 269, 1358, 1522, 946, 10822, 22811, 338, 610, 513, 31986, 9165, 547, 948, 721, 1205, 513, 6251, 1413, 780, 8334, 281, 594, 1294, 269, 1656, 1018, 4523, 952, 649, 1294, 513, 6177, 602, 649, 1810, 1405, 5431, 2496, 7692, 281, 2334, 781, 950, 519, 3391, 781, 1702, 2501, 538, 13561, 269, 1358, 666, 2995, 721, 519, 2012, 540, 519, 6177, 267, 922, 6208, 267, 543, 4277, 5013, 827, 621, 780, 8334, 281 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17659, 5112, 3595, 540, 5437, 267, 476, 6642, 280, 267, 12090, 538, 519, 26791, 8490, 593, 6301, 9335, 269, 634, 17659, 5112, 12942, 7577, 4503, 1269, 272, 267, 1822, 282, 700, 269, 700, 269, 11612, 326, 1231, 267, 1269, 277, 267, 1822, 282, 674, 269, 715, 269, 8585, 6929, 267, 1269, 6110, 267, 543, 6723, 590, 269, 26791, 267, 1269, 275, 267, 4335, 269, 15928, 6971, 519, 2698, 2530, 547, 513, 1906, 8536, 9489, 563, 763, 3595, 540, 5130, 476, 866, 267, 476, 6245, 271, 267, 10032, 519, 17557, 9210, 4593, 29914, 5783, 2679, 593, 13378, 879, 638, 320, 9255, 269, 634, 3595, 729, 19443, 538, 922, 4028, 3356, 676, 519, 8285, 28033, 959, 9404, 902, 267, 799, 1185, 1831, 3819, 543, 1185, 711, 1044, 6569, 2094, 519, 2533, 585, 799, 789, 1185, 1044, 2322, 909, 547, 29428, 267, 543, 519, 26428, 3976, 6603, 519, 14869, 548, 267, 799, 6488, 539, 873, 606, 5140, 8908, 269, 898, 729, 519, 8471, 6376, 602, 513, 3595, 729, 2760, 2938, 547, 3262, 609, 865, 1454, 4028, 640, 543, 6633, 865, 18979, 569, 607, 1705, 713, 835, 269, 634, 3595, 540, 5988, 476, 866, 267, 476, 6245, 271, 267, 12090, 693, 476, 14093, 20167, 9586, 9335, 267, 21006, 519, 8075, 540, 3627, 670, 8553, 8657, 543, 3733, 619, 267, 543, 14124, 602, 540, 6276, 717, 548, 1783, 269, 634, 3595, 5443, 5249, 899, 12325, 547, 4688, 519, 3959, 267, 855, 741, 960, 729, 1500, 3500, 543, 2352, 676, 1932, 1454, 16095, 543, 1932, 2370, 1216, 269, 5062, 8649, 1076, 344, 779, 29421, 1984, 729, 11207, 10032, 676, 3595, 5988, 476, 2918, 267, 476, 6245, 271, 267, 1303, 9430, 513, 2530, 540, 1269, 277, 267, 1822, 563, 300, 10129, 531, 16457, 1765, 289, 2784, 5112, 18664, 965, 729, 11368, 5988, 476, 2764, 267, 476, 6942, 279, 267, 543, 519, 1101, 9550, 4371, 519, 2063, 11016, 538, 4728, 269, 623, 269, 570, 269, 17394, 729, 6074, 3276, 326, 612, 282, 623, 269, 700, 269, 28732, 267, 13930, 3276, 326, 612, 282, 674, 269, 654, 269, 16026, 267, 661, 269, 29807, 976, 267, 808, 269, 18703, 5264, 267, 808, 269, 670, 269, 20917, 525, 517, 543, 589, 269, 570, 269, 12942, 267, 14643, 5443, 282, 717, 269, 667, 269, 670, 269, 15867, 20269, 543, 6276, 7935, 1457, 267, 1175, 1182, 282, 654, 269, 7083, 267, 1526, 762, 282, 717, 269, 667, 269, 670, 269, 15867, 20269, 267, 609, 681, 269, 654, 269, 16026, 543, 590, 269, 9622, 344, 267, 2708, 832, 282, 589, 269, 595, 269, 4210, 12688, 543, 623, 269, 8381, 1189, 267, 4057, 2173, 7539, 282, 808, 269, 670, 269, 23664, 2023, 267, 589, 269, 1546, 294, 565, 1512, 543, 717, 269, 667, 269, 670, 269, 15867, 20269, 267, 2912, 6002, 282, 808, 269, 670, 269, 20917, 525, 517, 267, 670, 269, 590, 269, 22823, 267, 623, 269, 570, 269, 17394, 267, 654, 269, 808, 269, 5651, 992, 267, 808, 269, 18703, 5264, 543, 661, 269, 667, 269, 23340, 267, 1153, 19971, 267, 543, 808, 269, 18703, 5264, 267, 14951, 337, 269, 674, 269, 654, 269, 16026, 729, 12912, 804, 17064, 269, 589, 269, 1546, 294, 565, 1512, 267, 3627, 589, 269, 27213, 543, 700, 5819, 24156, 941, 11221, 1175, 1182, 1991, 547, 476, 6942, 279, 563, 289, 528, 965, 12836, 941, 4371, 5988, 476, 1704, 267, 476, 6942, 275, 267, 950, 519, 1739, 16018, 941, 6592, 281, 26990, 612, 281, 623, 269, 700, 269, 28732, 267, 476, 3451, 282, 623, 269, 570, 269, 17394, 267, 476, 1704, 267, 543, 589, 269, 918, 269, 9652, 267, 476, 273, 269, 7027, 5443, 281, 589, 269, 1546, 294, 565, 1512, 267, 476, 3374, 282, 661, 269, 29807, 976, 267, 476, 4510, 282, 623, 269, 8381, 1189, 267, 476, 5655, 282, 808, 269, 18703, 5264, 267, 476, 4375, 282, 808, 269, 654, 269, 5651, 992, 267, 476, 4343, 282, 808, 269, 681, 269, 623, 9593, 1195, 267, 476, 4343, 267, 543, 1230, 28818, 267, 476, 3953, 269, 1703, 941, 22221, 824, 10457, 267, 945, 4607, 689, 835, 547, 8370, 16018, 269, 634, 1153, 19971, 11221, 941, 661, 269, 667, 269, 23340, 543, 623, 269, 700, 269, 28732, 269, 11427, 269, 808, 269, 2051, 2421, 543, 2947, 824, 10457, 4607, 513, 22194, 8917, 269, 769, 476, 6942, 276, 808, 269, 654, 269, 645, 1066, 22974, 267, 589, 269, 595, 269, 4210, 12688, 543, 589, 269, 1546, 294, 565, 1512, 941, 11221, 19971, 267, 519, 8545, 1373, 16309, 267, 538, 476, 6942, 277, 267, 676, 589, 269, 570, 269, 28818, 543, 661, 269, 589, 269, 11709, 9928, 1195, 269, 634, 14643, 1298, 27812, 1032, 16922, 623, 269, 700, 269, 28732, 267, 595, 269, 808, 269, 28818, 267, 808, 269, 589, 269, 27213, 267, 674, 269, 654, 269, 16026, 267, 589, 269, 595, 269, 4210, 12688, 543, 808, 269, 654, 269, 645, 1066, 22974, 269, 589, 269, 1546, 294, 565, 1512, 729, 6074, 2708, 528, 282, 631, 269, 654, 269, 25538, 1676, 267, 2912, 3218, 282, 654, 269, 7083, 543, 623, 269, 8381, 1189, 267, 4057, 2173, 7539, 282, 15656, 9622, 344, 267, 1526, 762, 282, 1230, 28818, 267, 8524, 528, 267, 543, 623, 269, 8381, 1189, 267, 9794, 540, 12836, 269, 589, 269, 1546, 294, 565, 1512, 729, 12912, 804, 17064, 563, 763, 3276, 326, 612, 685, 5604, 814, 1044, 2094, 4904, 676, 519, 1739, 3957, 4961, 281, 808, 269, 654, 269, 645, 1066, 22974, 267, 476, 6942, 276, 282, 2433, 269, 570, 269, 17394, 267, 476, 6942, 277, 282, 808, 269, 670, 269, 7439, 5142, 267, 476, 6942, 278, 282, 808, 269, 631, 269, 9509, 518, 267, 476, 6942, 279, 269, 769, 5988, 267, 476, 6942, 280, 267, 519, 1101, 2749, 9550, 729, 4371, 269, 6276, 7935, 1457, 4607, 476, 4366, 274, 16018, 543, 623, 269, 570, 269, 17394, 476, 19442, 585, 25650, 282, 4024, 674, 269, 16888, 4607, 513, 1804, 5354, 585, 25650, 538, 476, 6642, 272, 282, 6276, 7935, 1457, 267, 476, 6642, 274, 282, 623, 269, 631, 269, 1744, 27553, 267, 476, 6642, 276, 282, 681, 269, 589, 269, 5915, 335, 8124, 267, 476, 6642, 278, 282, 11977, 5062, 306, 1048, 5674, 267, 476, 6642, 280, 267, 543, 700, 5819, 24156, 267, 476, 6245, 271, 267, 585, 1614, 1296, 269, 634, 13930, 3276, 326, 612, 525, 11221, 12422, 909, 547, 476, 6942, 278, 616, 3957, 607, 5205, 281, 570, 269, 808, 269, 9253, 9109, 267, 476, 6942, 276, 282, 623, 269, 700, 269, 28732, 267, 476, 6942, 277, 282, 670, 269, 17054, 29118, 267, 476, 6942, 278, 563, 1103, 476, 6942, 271, 681, 10422, 269, 16019, 729, 12912, 804, 17064, 267, 7674, 2394, 4989, 476, 1789, 267, 476, 6642, 274, 267, 950, 6276, 589, 269, 14811, 8124, 729, 11221, 676, 519, 14643, 267, 543, 814, 2094, 4371, 519, 5604, 267, 4849, 585, 8370, 3275, 538, 476, 6642, 278, 267, 950, 590, 269, 631, 269, 1546, 14982, 4904, 519, 2990, 563, 1103, 476, 6942, 276, 717, 269, 589, 269, 15867, 20269, 729, 14951, 337, 282, 538, 476, 6942, 277, 267, 595, 269, 808, 269, 28818, 267, 16309, 538, 5147, 676, 808, 269, 654, 269, 645, 1066, 22974, 282, 674, 269, 590, 269, 9652, 267, 538, 476, 6942, 278, 282, 700, 269, 717, 269, 3212, 1188, 267, 538, 476, 6942, 279, 269, 7066, 5501, 337, 7600, 577, 869, 729, 11221, 538, 476, 6642, 271, 563, 1103, 5988, 267, 476, 6642, 273, 267, 4975, 7066, 5501, 337, 7600, 577, 869, 729, 18486, 593, 519, 5279, 540, 900, 2041, 3960, 2211, 267, 855, 593, 519, 476, 2537, 323, 729, 26809, 593, 1455, 32548, 269, 2201, 519, 476, 1839, 628, 674, 269, 654, 269, 16026, 729, 12912, 14951, 337, 269, 769, 2904, 267, 476, 6942, 280, 267, 11619, 3464, 269, 667, 698, 1326, 339, 267, 5062, 14976, 5797, 543, 8298, 534, 941, 11221, 676, 14643, 2818, 540, 519, 1101, 2749, 4604, 540, 1072, 269, 769, 5130, 267, 476, 6642, 271, 267, 595, 269, 667, 269, 28732, 729, 6074, 2749, 11653, 269, 29844, 585, 519, 9652, 543, 16527, 670, 846, 14992, 941, 17101, 267, 519, 18724, 2284, 670, 846, 7577, 2348, 1044, 554, 2416, 1729, 13859, 609, 513, 2679, 269, 634, 7554, 5443, 540, 681, 269, 808, 269, 5062, 13043, 267, 2612, 1718, 532, 21689, 267, 4280, 585, 519, 13393, 540, 513, 21689, 585, 3666, 540, 9204, 267, 543, 717, 269, 654, 269, 18703, 5264, 729, 12912, 563, 763, 10492, 540, 519, 2749, 11221, 538, 5988, 267, 476, 6245, 271, 267, 616, 607, 5205, 281, 26302, 267, 700, 5819, 24156, 630, 305, 1070, 945, 4607, 476, 3199, 275, 16018, 1996, 476, 6924, 280, 6592, 585, 8493, 1676, 282, 2749, 14951, 337, 267, 681, 269, 570, 269, 700, 664, 630, 305, 5148, 2749, 17120, 267, 631, 269, 15751, 630, 305, 5148, 2749, 2708, 832, 267, 715, 269, 808, 269, 853, 656, 517, 630, 305, 1070, 6723, 623, 269, 4425, 1054, 630, 305, 1070, 661, 269, 589, 269, 15196, 928, 630, 305, 1916, 15675, 7027, 1765, 297, 269, 700, 269, 12448, 338, 630, 305, 1070, 3627, 623, 269, 2098, 2033, 630, 305, 1070, 20917, 681, 28854, 630, 291, 1070, 700, 269, 717, 269, 1215, 324, 630, 305, 1070, 595, 269, 681, 269, 14250, 15838, 630, 305, 1040, 25743, 267, 2185, 282, 24273, 267, 835, 563, 13349, 7027, 1765, 293, 269, 589, 269, 18703, 630, 305, 1070, 21634, 1460, 23415, 31000, 630, 291, 1040, 700, 269, 661, 269, 670, 4461, 17067, 630, 305, 1070, 654, 269, 918, 269, 28818, 344, 630, 305, 1070, 661, 269, 2372, 580, 2917, 630, 291, 1070, 26450, 5062, 5472, 3563, 267, 630, 305, 1070, 654, 269, 595, 269, 17394, 630, 305, 1070, 590, 269, 667, 269, 1284, 11232, 630, 305, 1070, 7338, 589, 269, 674, 14979, 333, 630, 305, 1070, 570, 269, 654, 269, 21662, 630, 305, 1070, 25743, 267, 5216, 282, 24273, 267, 1079, 563, 18662, 2552, 2651, 619, 1765, 290, 269, 589, 269, 20736, 325, 5674, 630, 291, 1070, 654, 269, 744, 269, 715, 2465, 569, 630, 291, 1070, 808, 269, 570, 269, 13643, 630, 305, 1070, 654, 269, 681, 269, 1284, 11232, 630, 305, 1070, 670, 269, 670, 269, 29615, 527, 630, 305, 1070, 589, 269, 631, 269, 2904, 518, 630, 291, 1070, 654, 269, 589, 269, 4425, 1054, 630, 305, 1070, 589, 269, 16019, 630, 305, 1070, 15656, 670, 4428, 630, 305, 1070, 631, 269, 667, 269, 20831, 630, 305, 1916, 17746, 1963, 1765, 24171, 14642, 13871, 630, 291, 1070, 6723, 681, 269, 18582, 19490, 630, 305, 1070, 7338, 674, 3317, 1068, 344, 630, 291, 1070, 595, 269, 589, 269, 1975, 5550, 518, 630, 305, 1070, 654, 269, 654, 269, 570, 9554, 630, 305, 1916, 763, 8917, 676, 530, 1841, 568, 6592, 607, 5205, 454, 268, 3689, 24156, 267, 3689, 2776, 322, 3307, 1765, 15675, 14643, 281, 12448, 338, 630, 305, 1070, 476, 6507, 282, 744, 685, 10673, 24274, 630, 291, 264, 476, 5780, 269, 5871, 14643, 281, 23415, 31000, 630, 291, 1070, 476, 10019, 282, 18703, 630, 305, 5148, 11676, 548, 630, 291, 1070, 476, 4792, 282, 8316, 9469, 630, 305, 1070, 476, 7871, 269, 3427, 17120, 281, 20736, 325, 5674, 630, 291, 1070, 476, 6507, 282, 715, 2465, 569, 630, 291, 1070, 476, 10170, 269, 4790, 762, 267, 14642, 13871, 630, 291, 1070, 476, 11011, 282, 15917, 525, 630, 5715, 1070, 476, 7906, 269, 8178, 528, 281, 14642, 13871, 267, 476, 8660, 282, 5696, 15586, 630, 305, 1070, 476, 2004, 269, 25960, 540, 9550, 281, 595, 269, 631, 269, 26673, 9581, 517, 630, 305, 1070, 476, 6924, 563, 268, 3689, 24156, 267, 5822, 2776, 322, 3307, 1765, 15675, 14643, 281, 12448, 338, 630, 305, 1070, 476, 6245, 282, 744, 685, 10673, 24274, 630, 291, 1070, 476, 9032, 269, 5871, 14643, 281, 23415, 31000, 630, 291, 1070, 476, 15647, 282, 11676, 548, 630, 291, 1070, 15836, 282, 18703, 630, 305, 13776, 476, 14862, 281, 8316, 9469, 630, 305, 13776, 476, 275, 269, 3427, 17120, 281, 20736, 325, 5674, 630, 291, 1070, 2185, 1296, 267, 476, 5197, 282, 715, 2465, 569, 630, 291, 1070, 1079, 1296, 267, 476, 16825, 282, 5682, 1168, 12245, 630, 305, 13776, 476, 1789, 269, 4790, 762, 14642, 13871, 630, 291, 1070, 476, 14681, 282, 15917, 525, 630, 5715, 13776, 476, 11463, 269, 8178, 528, 281, 14642, 13871, 630, 291, 1070, 476, 14681, 267, 5696, 15586, 630, 305, 13776, 476, 3199, 269, 25960, 540, 12836, 281, 623, 269, 670, 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 ]
[ 1002, 26385, 3258, 327, 267, 2107, 20811, 267, 1656, 31137, 267, 543, 808, 327, 1046, 8518, 267, 991, 2027, 3007, 269, 27933, 560, 519, 1350, 334, 3912, 9183, 267, 513, 18422, 540, 4126, 814, 849, 17708, 1540, 269, 589, 1906, 19920, 723, 8678, 3946, 547, 3561, 267, 20741, 543, 29608, 741, 2199, 12563, 8964, 269, 1280, 1383, 267, 31679, 572, 334, 590, 8651, 689, 18491, 531, 663, 2847, 1516, 12563, 8964, 538, 932, 758, 686, 543, 3478, 6634, 540, 5784, 593, 13334, 269, 1955, 13921, 13185, 625, 6512, 25643, 543, 9070, 908, 12563, 8964, 540, 570, 4673, 334, 11031, 267, 13225, 2967, 9545, 553, 6512, 689, 31579, 541, 752, 8518, 2348, 12275, 327, 28549, 543, 918, 6373, 18223, 9240, 7174, 269, 30709, 5448, 6512, 689, 3397, 691, 8403, 1445, 28410, 593, 519, 11091, 543, 18640, 540, 12563, 8964, 538, 918, 758, 4011, 758, 2199, 1893, 609, 513, 7262, 512, 16636, 269, 16593, 538, 519, 4947, 2395, 267, 811, 19920, 786, 6443, 713, 4838, 269, 0, 285, 656, 28225, 15791, 689, 6367, 547, 29523, 269, 769, 713, 942, 543, 1554, 1946, 616, 972, 454, 285, 560, 650, 24790, 540, 891, 630, 656, 28225, 264, 15791, 286, 6406, 1014, 9635, 630, 309, 299, 6717, 454, 285, 339, 1678, 619, 267, 8708, 1606, 4721, 267, 14265, 1047, 13274, 619, 264, 1810, 1405, 723, 873, 269, 1924, 1018, 454, 285, 11779, 540, 1599, 798, 789, 4196, 593, 10617, 4721, 824, 982, 585, 10760, 454, 5228, 519, 16064, 585, 5365, 17514, 1299, 30779, 1218, 269, 634, 1279, 5911, 13494, 333, 2801, 596, 454, 5408, 630, 17141, 21401, 1063, 1079, 544, 6814, 264, 616, 585, 670, 293, 936, 519, 16880, 454, 20664, 630, 14075, 3845, 1040, 1703, 616, 849, 2845, 13350, 267, 1167, 13409, 454, 322, 720, 32110, 1299, 476, 1789, 262, 627, 2354, 593, 930, 9635, 267, 782, 585, 670, 293, 862, 269, 634, 966, 295, 293, 270, 308, 295, 293, 454, 325, 7528, 4293, 616, 1152, 1899, 540, 8289, 630, 6518, 849, 2882, 9682, 1040, 14329, 454, 1993, 14853, 568, 519, 3476, 519, 19215, 267, 519, 3476, 519, 15423, 267, 519, 2539, 454, 1492, 4908, 267, 519, 20991, 519, 2792, 563, 17829, 824, 9635, 2901, 723, 873, 538, 513, 1114, 1106, 610, 789, 616, 1210, 454, 338, 520, 22972, 630, 2865, 2693, 1040, 634, 7382, 518, 594, 30774, 593, 630, 7704, 21388, 264, 1185, 519, 454, 342, 2231, 267, 865, 621, 781, 711, 2759, 1299, 3819, 269, 898, 781, 513, 2603, 14949, 547, 6551, 513, 5911, 19215, 454, 22474, 547, 2911, 593, 513, 9682, 269, 0, 21357, 3457, 616, 513, 1895, 540, 2472, 8795, 689, 5266, 2241, 3457, 899, 726, 7539, 543, 8868, 577, 4202, 547, 1950, 3937, 899, 10605, 16234, 543, 18909, 1085, 22395, 269, 2311, 519, 7662, 540, 519, 10656, 2657, 5516, 28018, 28672, 267, 681, 4353, 300, 814, 3379, 519, 2344, 28431, 1949, 585, 2564, 3457, 538, 519, 2136, 2276, 540, 3013, 630, 24433, 264, 543, 2342, 269, 9122, 593, 519, 6476, 540, 519, 4170, 540, 1312, 1949, 267, 621, 3112, 581, 11943, 602, 835, 610, 519, 824, 1062, 5012, 547, 10930, 2564, 3457, 593, 519, 2344, 563, 763, 4493, 540, 1312, 28431, 1949, 568, 519, 11008, 5314, 540, 2564, 3457, 538, 1114, 5049, 269, 20905, 538, 2362, 1981, 5049, 616, 1641, 547, 811, 22608, 29077, 4879, 5773, 547, 3489, 2344, 28431, 269, 1323, 1271, 3017, 1063, 519, 1079, 1949, 568, 602, 519, 2344, 28431, 5773, 538, 519, 7330, 616, 5340, 7357, 676, 519, 2229, 630, 15933, 543, 10684, 10029, 1070, 1247, 538, 2342, 891, 616, 5340, 676, 3549, 630, 8253, 1881, 645, 3672, 264, 11280, 543, 24892, 676, 519, 2229, 269, 6271, 3017, 568, 602, 2342, 814, 513, 7453, 1305, 540, 3652, 547, 11008, 1047, 519, 3457, 538, 741, 1981, 5049, 267, 1247, 519, 7330, 5205, 513, 1454, 811, 27556, 1935, 563, 1103, 1312, 2342, 543, 519, 7330, 267, 519, 1949, 723, 1044, 22309, 609, 2543, 547, 10018, 532, 3106, 543, 7145, 540, 2564, 3457, 593, 519, 2344, 269, 1323, 1271, 1445, 540, 519, 9880, 814, 1044, 593, 2472, 13844, 2344, 28431, 676, 1210, 3106, 543, 7145, 1239, 540, 4540, 2472, 593, 519, 2344, 269, 634, 9755, 3409, 30424, 1063, 741, 1587, 543, 519, 4540, 1587, 269, 901, 1259, 267, 789, 991, 547, 5352, 3648, 1447, 1239, 593, 741, 1378, 1587, 547, 6086, 5573, 3106, 543, 7145, 269, 901, 568, 2009, 538, 519, 7330, 607, 1134, 607, 538, 2342, 563, 13146, 1806, 540, 2472, 602, 941, 4847, 593, 519, 2344, 998, 1312, 1949, 1210, 30424, 267, 543, 602, 723, 3366, 547, 6397, 8801, 2360, 267, 616, 4496, 6823, 2173, 13926, 12048, 18032, 543, 1098, 341, 698, 1400, 8544, 1127, 269, 769, 3210, 547, 713, 1826, 540, 2042, 267, 9283, 585, 1312, 1949, 616, 1373, 6069, 267, 799, 616, 13148, 8045, 269, 1306, 606, 1383, 538, 2342, 267, 7528, 790, 906, 585, 3502, 1881, 645, 3672, 723, 1044, 1500, 811, 22608, 543, 741, 15569, 814, 1044, 14556, 1881, 269, 0, 8256, 18790, 602, 1870, 6531, 7836, 568, 4397, 547, 1332, 693, 513, 476, 1626, 260, 7623, 5993, 2208, 2557, 1063, 476, 1001, 277, 543, 476, 1708, 277, 267, 621, 568, 2922, 547, 2161, 602, 4213, 616, 1100, 3476, 1175, 1210, 519, 6531, 607, 513, 1907, 269, 17497, 267, 741, 1445, 568, 593, 16107, 6531, 3354, 547, 9585, 1114, 1870, 6859, 269, 1635, 519, 1032, 476, 1708, 272, 267, 513, 1867, 6920, 602, 476, 10695, 260, 540, 2754, 24913, 338, 786, 581, 18799, 538, 519, 6531, 607, 3549, 3136, 547, 1847, 689, 4357, 547, 1857, 12269, 563, 1103, 476, 1708, 273, 267, 717, 691, 1676, 9193, 602, 8907, 689, 519, 1857, 6531, 5823, 786, 1332, 547, 1269, 28664, 5479, 689, 1269, 11260, 5479, 538, 476, 1001, 279, 269, 634, 1239, 14753, 540, 519, 3970, 1652, 2640, 540, 519, 6531, 538, 519, 2104, 269, 1703, 616, 2907, 1082, 16275, 11675, 19234, 609, 875, 789, 666, 946, 519, 6531, 547, 11886, 741, 1699, 543, 2104, 2115, 269, 1924, 267, 1577, 779, 1294, 799, 568, 7678, 532, 538, 2104, 2029, 6531, 7384, 563, 268, 476, 272, 1548, 568, 13192, 17270, 888, 268, 476, 273, 634, 8892, 7066, 526, 532, 5303, 769, 13192, 17270, 912, 1432, 568, 13192, 17270, 888, 8072, 30208, 7384, 685, 4016, 547, 1312, 519, 2029, 543, 519, 2533, 602, 616, 6035, 676, 519, 6531, 269, 13192, 7384, 4016, 547, 519, 1569, 267, 936, 519, 5769, 267, 547, 7384, 2200, 971, 607, 3156, 267, 13763, 630, 874, 9713, 543, 5691, 1070, 1239, 4859, 267, 1646, 2645, 267, 13033, 7207, 267, 543, 811, 267, 18799, 693, 513, 6552, 1239, 4099, 9859, 676, 513, 6531, 2533, 8502, 630, 5425, 303, 1040, 1452, 2533, 616, 3177, 676, 519, 595, 9915, 585, 513, 10865, 20478, 13927, 610, 536, 2683, 1759, 593, 6165, 269, 1703, 616, 513, 3099, 540, 5691, 1242, 8668, 1102, 2858, 23461, 602, 1331, 13763, 267, 5665, 1062, 3301, 267, 13033, 267, 543, 824, 5989, 602, 666, 581, 7493, 539, 1210, 2027, 3301, 865, 602, 621, 666, 581, 3838, 543, 7535, 539, 2066, 2168, 8800, 10665, 269, 1280, 1383, 267, 1896, 5691, 13763, 666, 581, 2813, 689, 513, 2582, 8800, 7746, 563, 30208, 7426, 666, 11694, 741, 1239, 4099, 2200, 998, 5691, 1436, 269, 1306, 513, 1267, 267, 1082, 14078, 723, 7550, 6531, 6765, 3631, 585, 741, 593, 1790, 8145, 2478, 5989, 547, 1732, 8415, 741, 8668, 5989, 267, 2569, 3790, 3379, 547, 2757, 8668, 5989, 267, 543, 1683, 741, 3755, 609, 519, 1482, 1377, 540, 1582, 28129, 543, 22231, 563, 2252, 596, 616, 1007, 547, 13192, 17270, 543, 616, 6236, 4657, 547, 513, 4876, 538, 13192, 17270, 267, 2015, 11578, 532, 585, 606, 589, 16703, 27872, 6092, 6035, 676, 9650, 300, 1690, 1460, 1107, 589, 6820, 2228, 2866, 3760, 563, 14813, 5509, 23829, 8584, 4149, 16291, 267, 25957, 23829, 8584, 4149, 16291, 267, 543, 12229, 23829, 8584, 4149, 16291, 616, 1614, 540, 519, 1034, 1455, 6531, 3028, 3631, 267, 543, 3549, 1522, 946, 782, 1614, 538, 519, 1482, 1788, 269, 18562, 267, 972, 568, 1419, 10539, 1851, 519, 1614, 543, 1018, 779, 3769, 609, 1142, 912, 272, 269, 590, 30962, 630, 25413, 2264, 23829, 8584, 4149, 16291, 994, 306, 30962, 1765, 21406, 6531, 2861, 3301, 610, 6531, 3156, 28934, 3498, 3301, 602, 779, 18799, 538, 519, 6531, 543, 602, 596, 1569, 543, 946, 3842, 513, 1357, 11422, 267, 513, 6131, 18376, 7817, 267, 610, 513, 18376, 610, 5985, 16286, 602, 26779, 609, 707, 5665, 1062, 269, 769, 519, 5354, 540, 2665, 267, 590, 30962, 3755, 2628, 513, 10865, 610, 5993, 20478, 13927, 282, 930, 949, 2709, 2048, 335, 599, 23829, 3917, 537, 30559, 685, 14499, 1759, 593, 707, 4890, 6165, 563, 1103, 2417, 3467, 547, 519, 1942, 9806, 267, 942, 3562, 17032, 267, 543, 25382, 2640, 540, 519, 6531, 267, 590, 30962, 3091, 519, 1739, 912, 268, 4201, 11703, 18175, 10232, 281, 2060, 590, 30962, 267, 596, 1491, 5413, 540, 519, 8502, 4946, 873, 607, 4166, 607, 1007, 2934, 267, 1510, 2348, 547, 32427, 622, 606, 593, 1790, 8145, 2478, 22010, 563, 268, 10466, 689, 1239, 2530, 281, 1280, 519, 2601, 602, 707, 3498, 1239, 568, 538, 519, 6531, 267, 609, 519, 3498, 267, 596, 1810, 1406, 6336, 1239, 952, 707, 3926, 26301, 610, 9397, 563, 295, 4348, 338, 540, 5215, 540, 590, 30962, 3435, 616, 2139, 267, 8151, 689, 5059, 2872, 543, 8257, 531, 3156, 547, 3532, 13055, 6538, 3156, 543, 3642, 630, 691, 4716, 4987, 264, 3156, 269, 590, 30962, 568, 519, 3119, 6765, 2203, 2221, 585, 1034, 5010, 3301, 563, 273, 269, 623, 30962, 630, 5522, 520, 845, 23829, 8584, 4149, 16291, 994, 303, 30962, 2488, 3301, 9367, 609, 519, 593, 19195, 540, 519, 3760, 1765, 14551, 2264, 267, 2347, 3301, 10518, 267, 5989, 267, 543, 1256, 1646, 2645, 1765, 1721, 4881, 267, 3384, 267, 543, 5883, 3156, 1510, 519, 1942, 267, 6988, 267, 543, 1102, 2716, 2225, 540, 4509, 602, 3760, 593, 1790, 8145, 2478, 563, 4415, 623, 30962, 267, 519, 6531, 2733, 12460, 14747, 3388, 1765, 338, 21665, 267, 5121, 267, 4859, 267, 5665, 1062, 3301, 267, 1647, 2264, 267, 12240, 1765, 520, 741, 1239, 4099, 269, 1306, 513, 1267, 267, 9367, 3362, 1205, 547, 4584, 689, 513, 10624, 547, 2048, 4944, 514, 909, 685, 13763, 543, 5054, 789, 991, 547, 2196, 267, 1628, 267, 1449, 267, 11766, 267, 2226, 267, 9337, 267, 543, 4336, 3156, 563, 9213, 267, 623, 30962, 568, 1419, 14475, 1472, 11149, 282, 513, 5691, 1242, 12337, 2203, 835, 1900, 6569, 689, 5691, 13763, 269, 1635, 5691, 1944, 519, 5665, 1062, 267, 11149, 1118, 621, 2009, 585, 9367, 547, 10189, 519, 3498, 609, 1152, 519, 5665, 1062, 2533, 621, 2115, 547, 2196, 593, 1022, 3760, 267, 1510, 14842, 543, 1510, 13461, 593, 1647, 2264, 563, 1103, 1840, 547, 1210, 667, 29420, 11149, 267, 4414, 24051, 7046, 4537, 3424, 3096, 918, 21310, 6339, 525, 607, 513, 8708, 32427, 566, 3070, 267, 3678, 908, 17293, 267, 18440, 267, 4452, 13326, 267, 543, 811, 585, 8708, 2861, 3156, 563, 274, 269, 594, 30962, 630, 14813, 5509, 23829, 8584, 4149, 16291, 994, 296, 30962, 7727, 593, 24683, 663, 1569, 547, 4909, 7384, 2200, 1700, 874, 9713, 543, 5691, 13763, 267, 13033, 267, 543, 4859, 1765, 1478, 519, 5769, 593, 513, 2628, 23829, 3917, 537, 30559, 4493, 269, 594, 30962, 17101, 1439, 268, 22852, 547, 4336, 543, 16756, 2200, 593, 606, 607, 32571, 4493, 267, 4227, 519, 991, 585, 1164, 267, 909, 1922, 3224, 3854, 24723, 610, 11991, 593, 1790, 8145, 2478, 610, 2048, 21077, 685, 5989, 543, 585, 936, 25975, 3539, 2200, 547, 13918, 13350, 26389, 538, 6165, 563, 1103, 11984, 547, 590, 30962, 543, 623, 30962, 630, 663, 1256, 18960, 623, 30962, 7384, 3631, 971, 607, 11149, 543, 7746, 1652, 1070, 594, 30962, 2488, 519, 3755, 609, 519, 9803, 7400, 1852, 540, 7384, 2200, 538, 519, 6531, 563, 296, 30962, 729, 519, 25343, 6531, 7384, 2203, 950, 621, 7153, 538, 519, 2038, 476, 1001, 271, 338, 269, 2755, 621, 3788, 519, 6531, 2203, 585, 1082, 2010, 540, 24913, 338, 267, 519, 946, 540, 590, 30962, 543, 623, 30962, 568, 3395, 693, 513, 1454, 18334, 2557, 563, 763, 8892, 7066, 526, 532, 5303, 769, 13192, 17270, 912, 272, 269, 18218, 1652, 15339, 912, 5472, 540, 519, 7496, 2404, 609, 513, 3044, 8668, 5989, 616, 6569, 538, 513, 7746, 1652, 6189, 269, 5395, 951, 593, 799, 3755, 2196, 741, 1239, 798, 711, 991, 547, 581, 12349, 610, 10519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2941, 328, 2946, 689, 324, 555, 2946, 1433, 19315, 586, 320, 692, 291, 2632, 2941, 328, 2946, 1106, 2946, 555, 2946, 1433, 19315, 586, 320, 21645, 2941, 328, 2946, 1106, 2946, 555, 2946, 1433, 2014, 596, 744, 328, 559, 967, 324, 909, 1373, 959, 626, 324, 865, 328, 1121, 19830, 2946, 711, 547, 328, 2941, 328, 2946, 689, 324, 555, 2946, 1433, 19315, 586, 320, 256, 10520, 3175, 538, 7005, 5225, 2439, 1892, 476, 2971, 476, 28091, 946, 3804, 3343, 476, 25784, 476, 25228, 1711, 513, 3593, 3989, 1599, 476, 29214, 946, 513, 22141, 3349, 476, 29045, 476, 2412, 910, 18853, 13052, 263, 10574, 13718, 28091, 946, 3804, 3343, 476, 25784, 476, 25228, 1711, 513, 3593, 3989, 1599, 476, 29214, 946, 513, 22141, 3349, 476, 29045, 476, 2412, 910, 18853, 13052, 263, 10574, 267, 13878, 6224, 681, 8582, 2562, 14888, 3918, 6311, 272, 281, 257, 261, 4629, 16703, 263, 10574, 4297, 268, 272, 267, 1723, 7419, 2316, 293, 263, 10574, 267, 834, 338, 257, 261, 10574, 1070, 302, 4297, 476, 28803, 3503, 856, 267, 538, 1896, 3268, 267, 1018, 519, 1657, 4542, 1281, 267, 689, 2253, 333, 580, 547, 1439, 281, 476, 29483, 476, 17734, 476, 273, 13718, 1892, 476, 2971, 6333, 513, 7443, 21924, 8013, 6109, 609, 519, 1739, 2504, 1599, 281, 586, 284, 299, 317, 10382, 266, 298, 317, 15512, 1141, 476, 271, 2999, 10382, 283, 476, 272, 543, 476, 271, 2999, 15512, 283, 476, 272, 692, 13706, 513, 7443, 21924, 8013, 6109, 609, 519, 1739, 2504, 1599, 281, 586, 284, 299, 317, 10382, 266, 298, 317, 15512, 1141, 476, 271, 2999, 10382, 283, 476, 272, 543, 476, 271, 2999, 15512, 283, 476, 272, 269, 634, 6109, 666, 6718, 4074, 630, 299, 264, 543, 3854, 630, 298, 264, 621, 6499, 538, 8013, 3403, 2344, 693, 1770, 5777, 540, 530, 543, 678, 267, 6606, 1862, 780, 1892, 476, 2971, 476, 273, 526, 1032, 6280, 1377, 281, 22428, 519, 3977, 693, 942, 512, 666, 581, 2854, 607, 962, 6025, 6661, 314, 338, 6025, 264, 299, 6025, 13580, 261, 258, 4037, 272, 278, 282, 298, 6025, 7565, 272, 268, 261, 258, 280, 5379, 282, 264, 3602, 476, 1015, 28843, 261, 258, 280, 5379, 282, 267, 543, 962, 6025, 2567, 568, 3977, 693, 942, 512, 700, 6025, 2567, 568, 519, 2551, 630, 663, 692, 273, 526, 1032, 6280, 1377, 281, 22428, 519, 3977, 693, 942, 512, 666, 581, 2854, 607, 962, 6025, 6661, 314, 338, 6025, 264, 299, 6025, 13580, 261, 258, 4037, 272, 278, 282, 298, 6025, 7565, 272, 268, 261, 258, 280, 5379, 282, 264, 3602, 476, 1015, 28843, 261, 258, 280, 5379, 282, 267, 543, 962, 6025, 2567, 568, 3977, 693, 942, 512, 700, 6025, 2567, 568, 519, 2551, 630, 663, 1297, 540, 4600, 264, 693, 27764, 13718, 1892, 476, 2971, 2913, 14668, 267, 16061, 581, 519, 5072, 540, 519, 3830, 1535, 273, 910, 533, 343, 1341, 678, 815, 476, 271, 543, 14668, 270, 273, 267, 476, 273, 15512, 581, 519, 5072, 540, 519, 3830, 1535, 273, 910, 7117, 343, 1341, 678, 815, 476, 271, 692, 272, 269, 2913, 14668, 267, 16061, 581, 519, 5072, 540, 519, 3830, 1535, 273, 910, 533, 343, 1341, 678, 815, 476, 271, 543, 14668, 270, 273, 267, 476, 273, 15512, 581, 519, 5072, 540, 519, 3830, 1535, 273, 910, 7117, 343, 1341, 678, 815, 476, 271, 269, 3973, 519, 1871, 540, 678, 568, 26042, 1892, 476, 2971, 22217, 1518, 476, 272, 936, 476, 273, 540, 476, 272, 936, 476, 275, 1821, 728, 476, 272, 936, 476, 274, 782, 936, 476, 272, 936, 476, 277, 14263, 476, 274, 936, 476, 275, 7132, 476, 272, 936, 476, 273, 692, 8245, 680, 1518, 476, 272, 936, 476, 273, 540, 476, 272, 936, 476, 275, 1821, 728, 476, 272, 936, 476, 274, 782, 936, 476, 272, 936, 476, 277, 14263, 476, 274, 936, 476, 275, 7132, 476, 272, 936, 476, 273, 692, 1892, 476, 2971, 808, 565, 476, 277, 476, 18684, 476, 274, 269, 1321, 476, 276, 476, 275, 476, 1321, 593, 342, 476, 274, 269, 2420, 476, 273, 269, 10463, 476, 8618, 268, 3953, 476, 6858, 267, 1015, 9041, 268, 3583, 272, 272, 476, 6858, 11090, 344, 683, 808, 565, 476, 277, 476, 18684, 476, 274, 269, 1321, 476, 276, 476, 275, 476, 1321, 593, 342, 476, 274, 269, 2420, 476, 273, 269, 10463, 476, 8618, 268, 3953, 476, 6858, 267, 1015, 9041, 268, 3583, 272, 272, 476, 6858, 11090, 344, 683, 692, 297, 565, 476, 277, 476, 18684, 476, 274, 269, 1321, 476, 276, 476, 275, 476, 1321, 593, 342, 476, 274, 269, 2420, 476, 273, 269, 10463, 476, 8618, 268, 3953, 476, 6858, 267, 1015, 9041, 268, 3583, 272, 272, 476, 6858, 11090, 344, 683, 808, 565, 476, 277, 476, 18684, 476, 274, 269, 1321, 476, 276, 476, 275, 476, 1321, 593, 342, 476, 274, 269, 2420, 476, 273, 269, 10463, 476, 8618, 268, 3953, 476, 6858, 267, 1015, 9041, 268, 3583, 272, 272, 476, 6858, 11090, 344, 683, 692, 23921, 6732, 14581, 6435, 2496, 7476, 17676, 670, 6865, 11246, 3036, 298, 12327, 303, 12224, 0, 7462, 4855, 519, 2121, 18165, 593, 519, 8868, 538, 519, 4137, 2630, 827, 519, 4949, 548, 998, 744, 890, 692, 16932, 8212, 454, 27665, 6831, 22511, 1133, 817, 11220, 454, 2675, 7359, 476, 272, 4303, 454, 27665, 318, 25270, 16062, 531, 2280, 8096, 276, 692, 8340, 519, 2121, 18165, 593, 519, 8868, 538, 519, 4137, 2630, 827, 519, 4949, 548, 998, 1109, 302, 1109, 704, 12993, 547, 519, 2985, 267, 2921, 1109, 1109, 320, 1109, 284, 1109, 278, 269, 876, 1109, 9492, 30548, 1109, 321, 1109, 284, 1109, 2537, 269, 271, 1109, 9492, 269, 1109, 263, 5715, 6510, 519, 4287, 609, 519, 1129, 540, 707, 2626, 269, 27539, 602, 519, 2318, 4287, 568, 4831, 22018, 3772, 24355, 301, 1109, 6440, 1109, 332, 454, 21801, 476, 1015, 628, 267, 476, 1001, 276, 692, 6062, 5225, 2022, 519, 3239, 7064, 692, 21801, 476, 1015, 628, 267, 476, 1001, 276, 692, 21801, 476, 1015, 628, 267, 476, 1001, 276, 692, 758, 3180, 909, 835, 3813, 692, 21801, 476, 1015, 628, 267, 476, 1001, 276, 692, 763, 18165, 3812, 676, 519, 476, 1015, 715, 3196, 568, 454, 16483, 815, 476, 1015, 3040, 271, 269, 2537, 815, 910, 273, 269, 274, 630, 301, 1892, 332, 13211, 763, 18165, 3812, 676, 519, 476, 280, 715, 3196, 568, 454, 16483, 815, 476, 280, 3040, 271, 269, 2537, 815, 910, 273, 269, 5881, 630, 301, 1892, 332, 13211, 763, 18165, 3812, 676, 519, 476, 1321, 715, 3196, 568, 454, 16483, 815, 476, 1321, 3040, 271, 269, 5881, 815, 476, 271, 269, 10019, 630, 301, 1892, 332, 994, 763, 2698, 18165, 568, 454, 16483, 815, 268, 273, 269, 274, 910, 476, 273, 269, 5881, 1341, 271, 269, 10019, 815, 910, 274, 269, 7871, 630, 301, 1892, 332, 6393, 21801, 476, 1015, 628, 267, 476, 1001, 276, 692, 2483, 21801, 476, 1015, 628, 267, 476, 1001, 276, 454, 2483, 21801, 476, 1015, 628, 267, 476, 1001, 276, 454, 12914, 476, 2537, 6113, 267, 476, 1001, 278, 454, 13765, 6831, 22511, 0, 258, 1879, 568, 513, 4460, 990, 1184, 4830, 2987, 920, 618, 2496, 2304, 4830, 2987, 920, 618, 32094, 1184, 1590, 581, 4460, 990, 269, 594, 993, 1631, 11842, 827, 519, 9258, 2013, 269, 4208, 798, 930, 4460, 990, 3157, 3111, 547, 581, 4830, 2987, 920, 618, 2496, 272, 269, 1548, 616, 930, 1806, 540, 4460, 990, 3157, 602, 616, 711, 4830, 2987, 920, 618, 2496, 273, 269, 1772, 621, 2009, 547, 723, 930, 6190, 543, 2556, 2783, 585, 513, 4460, 990, 1184, 547, 581, 4830, 2987, 920, 618, 2496, 12552, 543, 14621, 2439, 5575, 267, 7747, 602, 606, 4830, 2987, 920, 618, 1184, 5673, 593, 519, 1249, 602, 519, 5311, 568, 3989, 593, 1269, 305, 10608, 589, 4460, 990, 20456, 666, 581, 3989, 538, 1022, 1305, 1269, 306, 10608, 1403, 1269, 306, 1422, 928, 336, 681, 8961, 596, 1522, 723, 8373, 547, 1256, 5581, 1018, 4830, 2987, 920, 618, 1131, 581, 780, 2791, 666, 849, 2015, 513, 1184, 538, 1269, 305, 259, 3989, 538, 519, 1739, 1259, 281, 1269, 311, 3709, 339, 266, 272, 348, 815, 2473, 3709, 339, 348, 1341, 2098, 8961, 1141, 1269, 313, 347, 263, 311, 3709, 339, 9574, 311, 3709, 339, 268, 272, 9574, 315, 24126, 267, 311, 3709, 271, 16585, 1422, 13678, 715, 8987, 311, 3709, 339, 9574, 272, 30879, 901, 606, 1383, 540, 513, 1184, 971, 602, 519, 27261, 5673, 1152, 593, 519, 2063, 1900, 543, 267, 4061, 267, 568, 711, 4830, 855, 519, 1184, 568, 4460, 990, 1014, 780, 8802, 8973, 476, 273, 267, 594, 1810, 1405, 1589, 594, 723, 1454, 547, 1039, 269, 1411, 666, 2141, 2328, 1269, 311, 3709, 339, 348, 815, 2473, 3709, 339, 268, 272, 348, 1341, 2098, 3709, 339, 23201, 2094, 1269, 311, 3709, 339, 4151, 568, 4460, 990, 1014, 267, 1269, 313, 3709, 339, 348, 815, 535, 11583, 3709, 339, 9574, 308, 3709, 339, 348, 29408, 1141, 1269, 308, 3709, 339, 4151, 568, 4830, 540, 18159, 311, 3709, 339, 268, 272, 9574, 311, 3709, 339, 268, 273, 9574, 1422, 24126, 267, 2473, 3709, 271, 348, 30879, 594, 7058, 596, 723, 547, 6961, 602, 1269, 325, 3287, 267, 340, 7751, 568, 3586, 593, 1269, 343, 16859, 1892, 1341, 272, 269, 8729, 630, 272, 264, 769, 519, 1383, 267, 834, 519, 27261, 5673, 1152, 593, 519, 2063, 1900, 543, 267, 4061, 267, 568, 711, 4830, 2668, 4208, 568, 1269, 311, 3709, 339, 266, 272, 348, 910, 2473, 4671, 259, 711, 4830, 540, 3105, 1213, 906, 1269, 311, 3709, 339, 348, 910, 2473, 3709, 339, 268, 272, 4151, 3092, 286, 1269, 313, 259, 5673, 593, 1269, 311, 4671, 8961, 865, 594, 7058, 621, 568, 1732, 547, 946, 1269, 313, 4671, 259, 3079, 540, 1269, 313, 259, 286, 630, 273, 264, 769, 519, 2063, 5037, 267, 875, 616, 1269, 325, 259, 543, 1269, 308, 4671, 259, 6074, 7933, 17827, 2356, 286, 9320, 930, 8100, 888, 1700, 1109, 20755, 454, 13356, 476, 1556, 267, 476, 1001, 273, 693, 476, 1240, 281, 4649, 454, 1892, 6875, 1269, 311, 3709, 271, 348, 815, 476, 271, 10608, 27297, 602, 1269, 313, 3709, 272, 13157, 311, 3709, 272, 18511, 311, 3709, 271, 13157, 311, 3709, 272, 23201, 6684, 267, 1269, 313, 3709, 273, 13157, 311, 3709, 273, 18511, 311, 3709, 272, 23201, 1635, 4070, 1269, 313, 3709, 273, 4151, 568, 711, 4830, 540, 1269, 313, 3709, 272, 23201, 3204, 8973, 476, 273, 267, 6148, 1776, 1259, 1472, 568, 547, 6961, 602, 519, 1184, 568, 27261, 23949, 8817, 476, 858, 1269, 313, 3709, 339, 4151, 568, 4830, 540, 1269, 311, 3709, 339, 268, 272, 4151, 630, 15152, 519, 1665, 990, 1184, 13429, 21663, 5463, 476, 1556, 267, 476, 1001, 273, 693, 476, 866, 281, 6860, 454, 1892, 634, 1293, 699, 343, 2217, 1152, 25701, 547, 15768, 942, 3157, 267, 1281, 621, 711, 286, 898, 4667, 899, 20525, 781, 2243, 25701, 1152, 547, 6024, 942, 3157, 267, 865, 594, 1810, 1405, 1294, 875, 621, 2337, 269, 4460, 990, 1184, 2356, 4016, 547, 513, 6024, 942, 1184, 609, 519, 6024, 942, 4528, 540, 519, 4460, 990, 3959, 267, 543, 4460, 990, 5832, 4016, 547, 1022, 15768, 942, 1184, 630, 5976, 15768, 610, 6024, 1533, 2230, 264, 602, 814, 519, 15768, 942, 4528, 540, 519, 4460, 990, 3959, 269, 4455, 476, 866, 267, 476, 1001, 277, 693, 476, 2641, 281, 2537, 454, 1892, 634, 20525, 267, 476, 275, 1296, 3516, 267, 8604, 3833, 13854, 630, 553, 596, 666, 1294, 538, 1010, 6085, 267, 1657, 1040, 1411, 3494, 596, 666, 4612, 1010, 2243, 1732, 982, 5128, 286, 7102, 3118, 267, 952, 596, 616, 5461, 538, 513, 1293, 699, 343, 2217, 585, 513, 6024, 1966, 267, 3274, 11410, 25544, 519, 2798, 538, 1250, 1383, 6902, 264, 4455, 476, 736, 267, 476, 1001, 277, 693, 476, 278, 281, 876, 454, 1892, 1684, 596, 1611, 2870, 513, 6024, 942, 4460, 990, 5832, 609, 12825, 7996, 2053, 286, 1684, 596, 917, 1022, 1293, 699, 343, 3263, 538, 6024, 942, 609, 6024, 3732, 10092, 286, 6270, 606, 1383, 1131, 948, 803, 547, 1732, 1174, 519, 3347, 1063, 4460, 990, 3157, 13624, 5271, 344, 3157, 270, 15263, 525, 609, 28222, 16883, 1213, 906, 270, 15263, 525, 609, 4830, 1213, 906, 270, 15263, 525, 609, 10859, 3766, 12952, 1862, 4455, 476, 2641, 267, 476, 1001, 277, 693, 476, 1704, 281, 3607, 0, 258 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 763, 1034, 2596, 1377, 540, 17133, 585, 12427, 568, 519, 8226, 540, 15128, 269, 24641, 649, 949, 581, 2111, 547, 4309, 6786, 689, 513, 3099, 540, 2959, 267, 3308, 15128, 1683, 519, 14354, 2706, 332, 1994, 640, 540, 6786, 269, 10748, 7480, 2501, 538, 2034, 267, 4553, 538, 513, 11397, 3791, 676, 28241, 630, 6518, 1281, 711, 2408, 547, 581, 1031, 6862, 2877, 4867, 538, 1034, 1852, 11623, 1040, 1284, 786, 1246, 713, 2067, 1062, 1931, 538, 938, 2079, 269, 4935, 267, 649, 786, 5097, 1445, 938, 4901, 593, 3308, 8226, 563, 274, 269, 273, 269, 272, 10439, 14409, 454, 8139, 519, 16082, 540, 3308, 4393, 6087, 1062, 9858, 547, 1628, 741, 8818, 1472, 519, 2067, 7207, 543, 7687, 540, 519, 12427, 269, 2311, 513, 2596, 1377, 267, 3308, 4393, 568, 519, 1184, 540, 13830, 1769, 593, 930, 3308, 9300, 543, 23142, 713, 1344, 547, 519, 4393, 1062, 269, 1280, 1082, 18951, 1949, 267, 713, 568, 513, 5266, 3551, 1184, 1141, 1344, 1152, 8928, 538, 835, 4287, 269, 769, 4334, 267, 1480, 4393, 568, 513, 19915, 27399, 1184, 1519, 4183, 7020, 267, 3804, 30928, 3007, 267, 840, 31281, 550, 633, 4879, 540, 15128, 267, 543, 3742, 7664, 540, 519, 6786, 269, 901, 1950, 1062, 2636, 721, 547, 1118, 513, 24534, 267, 17396, 1158, 856, 540, 1507, 25135, 32718, 540, 1344, 1510, 519, 991, 585, 2143, 4393, 269, 2755, 3425, 949, 14133, 693, 1880, 4247, 899, 4806, 7020, 267, 649, 849, 666, 581, 3362, 8945, 539, 676, 17499, 3765, 1952, 997, 566, 540, 3308, 4393, 646, 584, 2524, 630, 324, 3052, 1421, 3308, 2192, 16272, 267, 3765, 13440, 10744, 267, 711, 7487, 3077, 3615, 1040, 2755, 930, 2959, 540, 5470, 995, 2623, 666, 581, 7409, 1243, 610, 22621, 998, 6857, 4674, 267, 1866, 616, 9247, 16846, 633, 3527, 1510, 1022, 10257, 1505, 585, 1582, 30625, 563, 288, 5929, 1383, 540, 938, 5821, 547, 21391, 13128, 4393, 568, 519, 853, 549, 641, 4305, 630, 1805, 549, 641, 476, 4350, 276, 1040, 634, 4305, 568, 2241, 269, 589, 1641, 568, 4843, 609, 513, 2681, 2262, 630, 324, 3052, 1421, 2699, 267, 4544, 267, 5835, 264, 2854, 538, 835, 540, 1346, 1482, 4778, 269, 634, 4305, 568, 547, 2012, 519, 2681, 540, 519, 13504, 269, 634, 4603, 814, 1079, 2175, 267, 17602, 748, 543, 1651, 784, 745, 748, 269, 1879, 17602, 748, 267, 519, 13504, 2681, 543, 2262, 786, 6474, 630, 324, 3052, 1421, 968, 1042, 892, 2854, 538, 2699, 13504, 1040, 1879, 1651, 784, 745, 748, 267, 519, 13504, 2681, 543, 2262, 786, 711, 6474, 630, 324, 3052, 1421, 968, 1042, 892, 2854, 538, 5835, 13504, 1040, 901, 4305, 4667, 2241, 538, 519, 17602, 748, 2783, 267, 855, 950, 519, 1651, 784, 745, 748, 2783, 568, 7318, 267, 543, 519, 2262, 543, 922, 2681, 8428, 267, 519, 1641, 786, 3335, 588, 18443, 998, 6114, 267, 581, 3648, 14887, 267, 543, 1118, 1082, 811, 9073, 269, 4495, 649, 1451, 875, 547, 1224, 267, 649, 3274, 3112, 21391, 519, 2067, 3210, 547, 1224, 1257, 269, 634, 2964, 2065, 7778, 568, 602, 519, 2542, 5578, 568, 13736, 865, 1454, 811, 982, 519, 20803, 5578, 282, 3976, 267, 519, 2542, 5578, 1590, 581, 26793, 547, 2012, 519, 2681, 269, 28791, 930, 5042, 4674, 568, 1031, 547, 1463, 3007, 267, 519, 968, 1478, 1790, 847, 5367, 892, 2542, 5578, 786, 3196, 856, 519, 1447, 1790, 847, 5367, 5578, 950, 1312, 946, 519, 1482, 6127, 563, 288, 811, 3102, 7650, 540, 1970, 7400, 3308, 4393, 607, 1134, 607, 3606, 2200, 666, 581, 1336, 538, 519, 3184, 968, 6826, 8326, 281, 9978, 10017, 540, 519, 14871, 9232, 630, 305, 7867, 1696, 620, 269, 476, 1001, 275, 267, 3848, 476, 275, 1916, 274, 269, 273, 269, 273, 7822, 32559, 1145, 454, 21760, 21901, 568, 513, 3226, 32330, 6161, 585, 9858, 1813, 547, 922, 9860, 1851, 519, 2551, 269, 1280, 519, 5375, 2551, 267, 827, 476, 279, 260, 540, 2367, 543, 476, 271, 269, 276, 260, 540, 2021, 723, 930, 1106, 540, 2699, 1700, 13582, 2681, 21901, 269, 901, 3123, 4299, 2043, 547, 723, 7411, 1114, 11868, 2699, 689, 3039, 269, 15706, 949, 849, 723, 4544, 1700, 344, 3641, 2681, 21901, 267, 610, 1256, 2698, 2681, 21901, 267, 855, 891, 616, 3648, 811, 4686, 982, 2699, 1700, 13582, 2681, 21901, 630, 305, 7867, 1696, 620, 269, 476, 1001, 275, 1916, 2467, 616, 1082, 1896, 3029, 540, 2681, 21901, 267, 1759, 593, 519, 1808, 10638, 538, 519, 3308, 1062, 267, 855, 519, 2489, 1374, 7840, 602, 13468, 741, 2360, 616, 519, 1482, 269, 6153, 1374, 786, 2057, 1210, 1152, 2681, 607, 513, 5365, 585, 606, 11346, 1547, 5502, 267, 519, 1374, 1058, 6451, 2789, 6786, 883, 513, 23887, 5048, 585, 519, 11346, 1547, 1280, 1383, 267, 606, 1271, 15372, 1223, 8755, 12050, 539, 1257, 1344, 267, 723, 2699, 7801, 267, 543, 946, 21849, 10832, 899, 608, 17474, 7436, 547, 2327, 602, 519, 5048, 568, 2312, 563, 13295, 267, 1732, 6272, 786, 12242, 2275, 1712, 2164, 269, 2334, 568, 267, 2495, 786, 711, 1175, 581, 23876, 676, 2681, 855, 2681, 543, 13944, 2073, 610, 1899, 11098, 543, 2012, 267, 610, 1899, 1826, 543, 9403, 269, 32680, 2275, 5317, 15128, 2306, 873, 5488, 547, 581, 6444, 543, 5806, 3990, 630, 294, 541, 1676, 476, 3192, 275, 1040, 898, 949, 581, 3730, 547, 2638, 6272, 585, 15984, 547, 2681, 21901, 1374, 4441, 269, 1703, 616, 2645, 2228, 547, 1397, 875, 2681, 15918, 785, 2043, 13498, 2592, 543, 17103, 12171, 2393, 16694, 476, 272, 1358, 3335, 1491, 513, 15745, 610, 3239, 3758, 543, 1397, 875, 2681, 15918, 785, 2043, 1131, 1294, 621, 269, 9717, 519, 23146, 540, 2681, 21901, 1851, 519, 2489, 2551, 267, 12242, 2275, 5317, 6786, 543, 4180, 2681, 15918, 785, 10220, 1131, 581, 1134, 14194, 14876, 585, 1022, 1062, 602, 3340, 1480, 12427, 563, 274, 269, 273, 269, 274, 10439, 9612, 454, 763, 3308, 1062, 666, 581, 17618, 7745, 909, 883, 1079, 1016, 17882, 338, 1759, 593, 741, 1909, 269, 634, 3750, 20362, 17003, 7020, 267, 543, 519, 2634, 630, 514, 7463, 4525, 264, 20362, 17003, 7664, 269, 29918, 15252, 7020, 4386, 1369, 519, 3750, 267, 855, 519, 1184, 3294, 568, 9141, 676, 513, 4999, 540, 3804, 30928, 3007, 689, 519, 2247, 630, 9008, 16365, 264, 543, 13128, 4393, 540, 32330, 2934, 630, 321, 18847, 5346, 1040, 5440, 16365, 543, 5377, 5346, 1463, 1161, 3391, 519, 3308, 4393, 543, 5610, 540, 519, 1604, 602, 2049, 1282, 3308, 3406, 269, 901, 4655, 1063, 1283, 16365, 543, 5377, 5346, 3308, 4393, 1797, 602, 9858, 1058, 2015, 875, 741, 1374, 25998, 938, 2067, 3308, 6127, 563, 24058, 3406, 540, 519, 1344, 10268, 593, 606, 8818, 568, 513, 4295, 2534, 585, 12427, 267, 7488, 540, 519, 4305, 1547, 1306, 741, 3007, 568, 20218, 547, 519, 4305, 693, 1688, 267, 519, 11346, 786, 991, 547, 10146, 519, 1344, 4843, 593, 1022, 2016, 8818, 1547, 10439, 4393, 568, 606, 26740, 1184, 538, 799, 938, 4064, 616, 7683, 20367, 1063, 521, 3147, 3547, 630, 1905, 573, 3750, 5322, 547, 930, 4183, 264, 543, 4368, 725, 630, 6135, 532, 8090, 540, 1344, 6981, 1040, 1548, 649, 13498, 607, 513, 6024, 3308, 1995, 568, 2965, 606, 26740, 3126, 540, 4368, 725, 602, 616, 796, 4621, 19290, 10015, 730, 883, 513, 17396, 267, 1498, 711, 8209, 4977, 267, 2790, 2203, 540, 938, 10450, 630, 296, 337, 7773, 1696, 620, 269, 476, 2735, 279, 1040, 4438, 4368, 725, 267, 4183, 7020, 12346, 593, 23243, 3077, 2934, 689, 16297, 518, 2934, 998, 840, 31281, 550, 633, 3308, 4393, 630, 3891, 1446, 344, 543, 2037, 985, 476, 1001, 273, 1040, 901, 5758, 540, 5075, 607, 1373, 3742, 666, 581, 4334, 539, 609, 12563, 6530, 543, 2038, 1620, 540, 5075, 1141, 3425, 941, 6956, 547, 1294, 543, 1174, 519, 2898, 4159, 693, 2899, 269, 1284, 1631, 917, 602, 519, 3750, 1590, 3406, 585, 1344, 8362, 593, 519, 4159, 543, 1419, 29295, 1018, 621, 12034, 630, 8340, 26792, 543, 16500, 577, 2077, 476, 1220, 274, 1916, 7628, 1950, 4247, 602, 2154, 3308, 3406, 267, 1312, 5377, 5346, 4183, 6284, 543, 1283, 16365, 3804, 15129, 2534, 3310, 519, 2773, 540, 519, 11346, 693, 4466, 602, 1344, 269, 2755, 1283, 16365, 1463, 1161, 1291, 3308, 3406, 2509, 513, 1978, 1305, 540, 2934, 267, 938, 4064, 616, 8572, 547, 4628, 21391, 519, 5377, 5346, 4183, 7020, 269, 9717, 519, 2360, 602, 16297, 532, 2934, 666, 1459, 585, 12427, 267, 9858, 1058, 1174, 1018, 2010, 540, 3308, 2934, 2721, 1004, 779, 3007, 543, 519, 1909, 540, 2362, 7400, 21370, 3919, 269, 634, 1655, 1949, 8030, 543, 9858, 786, 723, 513, 3069, 540, 875, 3755, 786, 11571, 10525, 267, 1265, 519, 32330, 1344, 267, 543, 1174, 621, 563, 274, 269, 273, 269, 275, 2776, 31281, 550, 633, 10439, 14409, 454, 5629, 606, 11346, 6544, 1161, 519, 6786, 4843, 676, 606, 8818, 2073, 519, 3308, 4393, 1062, 5612, 5956, 2324, 547, 1106, 513, 17396, 2790, 2203, 540, 519, 6429, 269, 15465, 7687, 593, 1344, 4393, 2061, 3425, 689, 17655, 267, 4393, 267, 543, 1620, 1169, 1367, 5365, 1369, 519, 3308, 2361, 269, 5502, 267, 649, 723, 2919, 513, 1950, 4806, 2173, 10248, 1062, 602, 6971, 24913, 1510, 630, 17141, 264, 11874, 18363, 8223, 563, 2467, 616, 1079, 1292, 3157, 602, 2049, 1282, 519, 2038, 5933, 540, 3308, 3406, 269, 634, 1101, 568, 840, 31281, 550, 633, 3308, 4393, 1759, 593, 5266, 2241, 2934, 540, 519, 3615, 269, 7612, 476, 274, 269, 272, 2982, 1806, 540, 519, 2010, 540, 2934, 602, 616, 3362, 543, 5612, 9571, 1282, 3308, 3406, 269, 634, 1455, 3693, 2066, 891, 1806, 568, 519, 4334, 1063, 2934, 269, 1879, 3615, 4268, 538, 10066, 267, 3259, 267, 610, 2450, 630, 4818, 1563, 547, 824, 3615, 538, 741, 1604, 1070, 789, 616, 4857, 543, 13747, 1454, 811, 3533, 982, 824, 3615, 269, 31418, 1176, 13747, 3308, 2934, 616, 811, 32330, 547, 519, 11346, 2073, 3226, 950, 519, 11346, 568, 26531, 610, 936, 1740, 539, 563, 763, 17804, 2934, 3254, 538, 8431, 269, 476, 274, 269, 272, 4268, 538, 741, 2892, 1466, 269, 3807, 676, 1350, 3496, 2066, 519, 1806, 267, 649, 666, 5469, 513, 3017, 538, 875, 6385, 649, 10536, 519, 3077, 17003, 1851, 519, 16297, 619, 269, 634, 3077, 4183, 585, 10066, 568, 3362, 20559, 539, 267, 1247, 519, 3077, 2934, 585, 8654, 4287, 543, 3259, 1491, 5594, 3476, 547, 581, 6444, 269, 5071, 619, 1590, 2015, 519, 2892, 1466, 540, 519, 6786, 789, 786, 1459, 547, 519, 11346, 543, 21138, 519, 1034, 32330, 10291, 547, 519, 1034, 1271, 3604, 563, 763, 2034, 2101, 1184, 540, 2038, 3308, 4393, 568, 519, 23454, 540, 1367, 2934, 883, 3838, 267, 2362, 19195, 3308, 3889, 269, 901, 568, 1634, 607, 30123, 5306, 23454, 610, 30123, 5306, 3069, 630, 2419, 836, 1696, 620, 269, 476, 1220, 273, 282, 18703, 543, 661, 326, 996, 476, 1960, 278, 1040, 3807, 607, 1880, 2934, 616, 13747, 14350, 267, 5036, 540, 2934, 616, 6896, 883, 3308, 3889, 547, 581, 2417, 9268, 676, 519, 21951, 269, 901, 3919, 538, 519, 6429, 6087, 519, 21951, 547, 2226, 513, 2790, 6041, 540, 513, 17396, 1305, 540, 3982, 3615, 6537, 689, 519, 1344, 1673, 1619, 1158, 269, 3807, 899, 519, 4393, 540, 840, 31281, 550, 633, 3308, 2934, 267, 30123, 5306, 23454, 568, 606, 32246, 4393, 1900, 602, 5546, 875, 513, 1268, 6544, 1161, 519, 1158, 1472, 873, 630, 27770, 648, 543, 661, 326, 996, 476, 1960, 278, 1916, 294, 652, 5306, 3069, 13315, 513, 1920, 540, 1644, 5626, 3741, 540, 829, 24632, 3919, 1031, 547, 4766, 1455, 8320, 540, 3308, 5610, 269, 634, 3332, 593, 713, 1641, 568, 9867, 267, 543, 607, 971, 267, 519, 1808, 3741, 666, 1419, 581, 4330, 538, 2789, 2081, 4470, 593, 519, 3510, 610, 11001, 269, 9282, 711, 29882, 267, 8431, 269, 476, 274, 269, 273, 2982, 5722, 540, 519, 1034, 1455, 1806, 540, 30123, 5306, 3741, 7133, 875, 649, 14919, 5057, 4773, 540, 513, 3308, 3239, 269, 1452, 3741, 666, 581, 1031, 676, 513, 14704, 547, 1895, 1344, 1927, 610, 5094, 1114, 1016, 25364, 14013, 563, 10214, 1510, 824, 2188, 7133, 3308, 4393, 267, 30123, 5306, 3069, 666, 4196, 607, 513, 3730, 5943, 585, 7421, 543, 5355, 519, 1374, 540, 606, 8818, 1547, 26284, 1696, 620, 269, 630, 1220, 273, 264, 6542, 875, 30123, 5306, 3069, 666, 581, 1031, 547, 3391, 519, 2699, 30472, 540, 606, 5907, 1565, 1907, 269, 4438, 741, 4282, 1382, 267, 519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 673, 476, 6942, 271, 715, 4817, 519, 715, 4817, 9633, 267, 849, 1634, 607, 606, 5214, 11517, 6711, 1807, 630, 744, 23623, 3738, 2073, 568, 513, 3068, 1790, 19991, 602, 596, 666, 946, 547, 948, 2149, 3054, 1996, 7244, 538, 23197, 3114, 267, 6211, 267, 2234, 8344, 543, 6046, 630, 595, 16576, 301, 3738, 2326, 269, 769, 1840, 547, 519, 6093, 11956, 8115, 267, 649, 849, 991, 547, 8499, 2638, 519, 5068, 8115, 269, 589, 10690, 610, 535, 2001, 539, 13021, 6920, 21324, 610, 535, 2001, 532, 540, 519, 2269, 1186, 267, 865, 621, 1058, 581, 23987, 269, 1656, 1247, 513, 7452, 9633, 3884, 1405, 3501, 267, 621, 786, 2569, 707, 4598, 547, 23197, 5536, 269, 0, 18933, 2086, 539, 609, 707, 1603, 10467, 286, 6875, 519, 2597, 1055, 707, 13105, 2336, 29189, 783, 18112, 550, 566, 13832, 2991, 2542, 519, 24697, 6276, 5967, 593, 1482, 20967, 15185, 267, 8458, 616, 596, 1185, 6547, 1765, 27168, 610, 2942, 23121, 3220, 269, 6276, 779, 8292, 269, 14674, 835, 2178, 5114, 1765, 27168, 610, 2942, 20196, 596, 1185, 547, 891, 2326, 269, 3973, 2689, 14905, 779, 476, 1001, 272, 968, 20797, 13832, 585, 9437, 289, 1849, 1801, 892, 543, 2626, 519, 1739, 281, 1306, 596, 1589, 827, 2324, 609, 14447, 267, 24139, 267, 25251, 267, 610, 19574, 7218, 267, 799, 4808, 1522, 10460, 513, 4161, 547, 596, 607, 513, 18673, 286, 11512, 707, 2626, 269, 4635, 519, 2093, 547, 689, 519, 3848, 476, 2537, 1257, 267, 875, 1522, 596, 1174, 267, 4383, 267, 543, 993, 601, 1640, 622, 707, 5114, 286, 0, 303, 10008, 3912, 601, 4345, 4934, 19874, 538, 14466, 7699, 1715, 19892, 267, 476, 1001, 279, 454, 268, 4460, 14943, 3873, 601, 10387, 841, 4460, 14943, 3873, 601, 454, 268, 667, 650, 517, 595, 14088, 454, 268, 589, 1962, 541, 589, 932, 9853, 2967, 454, 268, 4911, 11253, 23765, 6953, 1678, 340, 454, 268, 12253, 548, 670, 8553, 8657, 454, 268, 962, 328, 1323, 700, 2967, 454, 268, 595, 10611, 664, 320, 5839, 4504, 344, 516, 454, 29020, 281, 28404, 23402, 1135, 328, 21552, 630, 309, 7894, 309, 264, 3788, 513, 1713, 11064, 547, 2518, 1135, 328, 3912, 601, 4345, 16701, 1709, 269, 11374, 476, 1240, 1296, 540, 29887, 6954, 4567, 267, 606, 15435, 540, 21883, 966, 7894, 309, 1826, 476, 272, 630, 322, 309, 7894, 309, 272, 264, 7018, 538, 14466, 7699, 1715, 19892, 630, 303, 7582, 264, 538, 476, 1001, 279, 269, 1284, 4766, 519, 27496, 540, 519, 476, 1001, 279, 524, 309, 7894, 309, 272, 15435, 538, 623, 7582, 267, 543, 2697, 1981, 2188, 799, 949, 5351, 2104, 3609, 543, 1852, 3646, 563, 32325, 281, 4578, 17640, 547, 519, 476, 1001, 279, 623, 7582, 15435, 941, 13939, 689, 661, 18444, 310, 2969, 6224, 543, 29979, 609, 1239, 689, 824, 2959, 267, 971, 607, 519, 2622, 2657, 9257, 630, 21766, 1070, 543, 3370, 3332, 269, 29149, 9382, 941, 17298, 267, 543, 1883, 1981, 2188, 4857, 563, 24342, 281, 476, 2918, 2665, 540, 524, 309, 7894, 309, 272, 941, 9672, 2429, 519, 8653, 540, 519, 15435, 630, 19688, 547, 5239, 476, 1001, 279, 264, 538, 8370, 16899, 269, 2986, 519, 476, 2918, 2665, 267, 476, 866, 630, 10463, 8472, 941, 9038, 543, 476, 278, 630, 2767, 8472, 941, 8951, 267, 543, 1034, 540, 519, 2665, 630, 10463, 8472, 7018, 538, 1453, 896, 519, 2085, 540, 2947, 269, 15510, 31331, 3795, 540, 1614, 13066, 540, 5711, 29887, 6669, 630, 8008, 309, 274, 264, 729, 1336, 547, 11385, 622, 1063, 476, 2568, 268, 476, 3199, 260, 1063, 476, 1220, 271, 543, 476, 1001, 279, 269, 6348, 31673, 1470, 26590, 4469, 3147, 573, 3474, 4519, 630, 301, 5183, 17025, 264, 13178, 3928, 941, 849, 1336, 547, 581, 1016, 9953, 2711, 936, 713, 1974, 563, 30206, 281, 589, 4999, 540, 1970, 6296, 31331, 3795, 267, 15877, 24045, 31331, 2238, 267, 543, 23696, 13178, 1949, 267, 538, 519, 2796, 540, 513, 10010, 1072, 1062, 267, 19411, 730, 538, 713, 15435, 269, 1677, 2061, 2104, 1135, 328, 3912, 601, 4345, 8623, 12515, 538, 623, 7582, 267, 8561, 1590, 581, 5116, 593, 5885, 519, 1072, 1062, 547, 2226, 1164, 12674, 3795, 267, 538, 14966, 609, 7347, 543, 2500, 13178, 1949, 563, 268, 5729, 281, 476, 1708, 273, 454, 268, 11730, 281, 476, 275, 454, 268, 20396, 281, 476, 1015, 269, 22332, 5379, 17320, 321, 1470, 269, 13932, 454, 268, 4427, 4784, 593, 476, 276, 7325, 476, 1708, 273, 454, 268, 15618, 593, 476, 736, 4239, 476, 1708, 273, 454, 268, 25398, 5623, 539, 0, 763, 6014, 4527, 538, 26172, 3530, 22519, 4752, 523, 4440, 7389, 689, 519, 4098, 540, 519, 476, 1691, 628, 2540, 563, 1103, 476, 12739, 274, 519, 1101, 31263, 4084, 538, 26172, 3530, 22519, 4752, 523, 729, 3710, 269, 1717, 267, 621, 729, 10032, 16172, 19952, 269, 901, 1705, 711, 2061, 519, 6014, 2146, 689, 3395, 689, 1614, 3885, 693, 519, 2490, 540, 519, 476, 1240, 628, 2540, 547, 28465, 593, 519, 552, 557, 540, 519, 3943, 7169, 269, 11374, 519, 1614, 2101, 10617, 543, 519, 6917, 608, 21402, 267, 621, 7930, 21022, 269, 4935, 267, 972, 941, 1152, 476, 7597, 7642, 2451, 538, 26172, 3530, 22519, 4752, 523, 538, 476, 4350, 277, 543, 3368, 540, 873, 1310, 519, 1744, 334, 1695, 563, 763, 1507, 8498, 695, 592, 689, 476, 9692, 272, 267, 609, 922, 16434, 3655, 9809, 1228, 267, 568, 1510, 8969, 519, 1034, 3001, 3140, 1747, 538, 1325, 338, 864, 563, 2080, 267, 1100, 26723, 550, 520, 1190, 575, 843, 532, 610, 575, 548, 5446, 18899, 267, 855, 513, 2241, 31263, 4084, 609, 3043, 6821, 543, 267, 593, 519, 1101, 6989, 267, 922, 737, 22844, 560, 4209, 267, 922, 10051, 543, 922, 4055, 585, 519, 695, 24335, 17243, 540, 8574, 269, 14033, 519, 13675, 267, 596, 786, 5469, 513, 6149, 32446, 602, 568, 1256, 4587, 982, 519, 31263, 4084, 3294, 281, 922, 12355, 4266, 568, 476, 14690, 275, 563, 4002, 519, 5580, 6989, 267, 519, 11755, 10689, 814, 6854, 922, 11308, 1649, 2583, 267, 922, 4190, 7406, 540, 519, 13411, 818, 330, 267, 21243, 609, 519, 21495, 540, 28311, 543, 519, 30676, 540, 1325, 338, 864, 269, 769, 519, 13032, 779, 3750, 267, 596, 786, 2628, 3007, 547, 519, 4544, 543, 3043, 9486, 799, 267, 2687, 547, 519, 13669, 31053, 267, 1450, 547, 3313, 519, 6640, 942, 540, 519, 11755, 281, 950, 267, 693, 1554, 19874, 267, 835, 21314, 547, 10646, 519, 1079, 4778, 269, 901, 10026, 1259, 540, 16287, 942, 20374, 538, 519, 476, 866, 628, 2540, 609, 519, 5920, 540, 519, 17927, 4585, 269, 769, 476, 1220, 271, 267, 519, 31263, 4084, 729, 9927, 883, 513, 9754, 563, 306, 1545, 2433, 4140, 15308, 324, 4732, 323, 341, 8807, 337, 0, 20597, 760, 547, 6301, 12474, 454, 2005, 5654, 899, 596, 2811, 1210, 5769, 25817, 476, 1556, 610, 4587, 269, 901, 3896, 1568, 1655, 609, 2413, 26292, 971, 607, 519, 5767, 8747, 540, 24904, 267, 32288, 2135, 267, 6380, 926, 267, 543, 22750, 269, 1403, 596, 3136, 609, 713, 11422, 267, 596, 949, 1294, 6397, 2164, 563, 18550, 568, 6468, 781, 3778, 13600, 267, 16033, 908, 543, 8716, 519, 1353, 267, 2616, 766, 267, 543, 11812, 540, 519, 4105, 1909, 540, 2021, 538, 1977, 1686, 563, 4322, 10643, 616, 782, 2139, 538, 519, 11066, 7732, 593, 519, 4159, 15808, 2282, 519, 4704, 11380, 269, 6744, 873, 856, 2336, 15507, 585, 811, 2835, 538, 519, 17048, 676, 9001, 2453, 971, 607, 912, 268, 12339, 24452, 4534, 2136, 2276, 4534, 3778, 454, 268, 9085, 4534, 6468, 4589, 454, 268, 17826, 4534, 6468, 4589, 454, 268, 6468, 4534, 3778, 454, 268, 6468, 4534, 2136, 2276, 4534, 3778, 454, 268, 6468, 4534, 2136, 2276, 4534, 4317, 2175, 454, 2791, 666, 849, 2638, 856, 713, 6538, 912, 29638, 5525, 14635, 901, 3095, 10741, 538, 513, 1007, 6885, 454, 1607, 4015, 540, 13746, 6663, 547, 1683, 7059, 3795, 540, 713, 1713, 2460, 540, 938, 2528, 267, 8720, 971, 3584, 607, 4008, 2090, 267, 1920, 543, 29281, 2152, 267, 1072, 3344, 267, 543, 1082, 811, 563, 19950, 539, 538, 1565, 811, 827, 2021, 543, 2021, 781, 1686, 286, 6333, 2921, 513, 1362, 827, 621, 912, 15447, 3733, 8745, 676, 454, 24445, 7089, 281, 22671, 4792, 277, 272, 1547, 300, 27898, 476, 1001, 280, 454, 9515, 729, 1634, 547, 519, 1158, 607, 14667, 1684, 324, 950, 1352, 588, 684, 2740, 6634, 609, 513, 4484, 269, 7935, 1188, 25306, 1185, 1044, 30992, 547, 1175, 3670, 3275, 538, 10315, 21569, 1310, 646, 729, 1336, 16770, 14213, 532, 1200, 593, 18628, 781, 13464, 269, 4173, 6408, 1764, 3948, 729, 11540, 593, 11370, 3960, 293, 3975, 267, 1141, 621, 14678, 4682, 10194, 734, 1613, 539, 676, 22221, 2929, 1004, 1369, 2185, 2395, 267, 621, 729, 12261, 11451, 543, 1224, 593, 519, 6989, 540, 6837, 282, 621, 6273, 2242, 538, 4993, 1876, 543, 519, 11291, 540, 519, 9794, 538, 519, 2013, 269, 23897, 1343, 5206, 547, 2161, 602, 1352, 1185, 2016, 873, 519, 10100, 547, 2671, 741, 1378, 2833, 540, 14213, 585, 519, 1101, 942, 269, 3767, 1352, 29379, 338, 1200, 3961, 547, 2995, 1200, 1650, 540, 8194, 267, 16637, 775, 267, 543, 519, 1379, 540, 1913, 563, 16908, 7201, 16225, 676, 454, 24445, 7089, 281, 808, 298, 5379, 279, 15660, 277, 674, 7597, 476, 1001, 280, 454, 4263, 8938, 14633, 267, 2549, 776, 961, 529, 16737, 729, 25945, 676, 519, 31835, 269, 2311, 8938, 26690, 267, 1352, 729, 3728, 13652, 22486, 883, 4359, 4238, 2866, 267, 2366, 689, 18999, 2917, 547, 834, 1492, 12426, 2437, 1141, 1352, 5030, 585, 3670, 3275, 538, 513, 20533, 1158, 1565, 875, 547, 946, 513, 3794, 1442, 267, 875, 547, 1205, 856, 540, 4827, 545, 32332, 1247, 19526, 538, 519, 17657, 540, 513, 1286, 267, 875, 547, 16641, 25711, 267, 543, 519, 1655, 2081, 547, 3479, 11980, 538, 2013, 540, 24811, 269, 2311, 519, 1439, 540, 713, 2866, 267, 1352, 729, 18611, 607, 513, 22342, 896, 1875, 27984, 24810, 3382, 734, 1492, 1034, 2352, 543, 524, 913, 1540, 2816, 538, 519, 2361, 607, 606, 1148, 31066, 21751, 538, 17174, 543, 6805, 1148, 543, 2366, 547, 22467, 3433, 22681, 5121, 538, 6552, 2127, 540, 519, 5664, 5101, 543, 5607, 563, 300, 1278, 3125, 1924, 6519, 676, 454, 24445, 7089, 281, 22671, 9262, 275, 269, 11025, 6993, 11463, 589, 274, 476, 1001, 280, 454, 5472, 31908, 723, 547, 4308, 609, 7446, 4816, 4408, 267, 1494, 1399, 2866, 267, 4466, 707, 8498, 267, 543, 16460, 707, 4819, 781, 9157, 2055, 267, 855, 952, 596, 616, 9870, 513, 4563, 1126, 267, 596, 723, 547, 4308, 609, 513, 2603, 811, 982, 602, 269, 23883, 952, 596, 2811, 513, 2582, 4563, 3158, 1862, 543, 12561, 269, 769, 713, 796, 4148, 514, 4221, 2272, 540, 1200, 15970, 3460, 267, 715, 1030, 1068, 16951, 12116, 519, 1686, 540, 10073, 538, 519, 3979, 1977, 2146, 267, 8188, 1055, 1996, 11475, 540, 2582, 4563, 31908, 267, 543, 15359, 1206, 519, 4641, 540, 1018, 621, 5654, 899, 547, 6318, 1453, 540, 2681, 543, 2626, 741, 2055, 827, 10168, 538, 2413, 6377, 3013, 563, 24591, 2725, 519, 1773, 4548, 676, 454, 24445, 7089, 281, 29255, 5038, 280, 10611, 3393, 589, 274, 476, 1001, 280, 454, 2691, 9473, 2946, 715, 770, 6035, 25288, 25415, 331, 519, 1283, 2990, 693, 3013, 781, 9510, 12473, 675, 534, 12139, 267, 1352, 17379, 269, 2701, 729, 513, 5856, 267, 711, 513, 9614, 267, 543, 1185, 1100, 31007, 547, 581, 4896, 781, 20148, 269, 8616, 25415, 331, 1185, 1044, 2542, 717, 712, 5471, 2094, 1352, 729, 5216, 282, 621, 1185, 6273, 1200, 4876, 269, 1215, 1223, 1352, 2161, 1100, 286, 13159, 609, 10346, 267, 16440, 2725, 519, 1773, 4548, 568, 513, 2123, 3460, 540, 513, 4807, 4947, 547, 2474, 609, 1373, 538, 5279, 543, 1818, 513, 1665, 267, 1739, 513, 6612, 543, 8066, 593, 547, 1200, 9909, 734, 16838, 950, 1352, 7475, 909, 538, 513, 1747, 1352, 2760, 4397, 547, 581, 563, 763, 1133, 342, 4193, 540, 519, 21001, 2193, 676, 454, 24445, 7089, 281, 661, 7277, 17679, 7871, 962, 6872, 476, 1001, 280, 454, 6546, 7325, 773, 962, 760, 8862, 650, 3554, 338, 15068, 26638, 729, 513, 27803, 269, 18004, 9420, 538, 10476, 267, 1352, 7522, 569, 23012, 552, 30984, 693, 519, 3946, 540, 1200, 20516, 267, 1152, 547, 25176, 609, 1200, 1920, 519, 2797, 30331, 10052, 540, 1200, 2197, 538, 519, 3735, 476, 3192, 271, 338, 269, 20509, 539, 883, 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 ]
[ 1107, 645, 23395, 7982, 609, 23848, 692, 16908, 3884, 1405, 2141, 2653, 269, 1703, 786, 581, 2053, 950, 596, 7237, 7965, 267, 6560, 609, 707, 6780, 267, 610, 1745, 899, 4758, 909, 1317, 1919, 3100, 1932, 2182, 269, 1809, 1705, 596, 917, 972, 781, 1945, 1572, 6043, 602, 666, 948, 596, 7753, 1346, 9465, 286, 2913, 781, 1451, 827, 1018, 621, 1797, 547, 581, 14388, 543, 875, 596, 666, 11349, 713, 1271, 5578, 2439, 1432, 1772, 26504, 2496, 5331, 952, 596, 12628, 513, 12285, 3440, 5196, 519, 2666, 1765, 6343, 4523, 286, 898, 536, 25555, 1394, 267, 1318, 286, 2334, 781, 2186, 540, 1018, 1373, 14388, 568, 899, 256, 3807, 607, 513, 12285, 3440, 666, 6023, 3478, 12628, 543, 1869, 1832, 922, 3337, 267, 1004, 945, 616, 14388, 666, 11883, 609, 9157, 3871, 1247, 9363, 2178, 3330, 780, 4910, 559, 1466, 3085, 1405, 1611, 2760, 6849, 2042, 282, 3025, 814, 9620, 693, 930, 1448, 269, 5502, 267, 2348, 6043, 2337, 721, 4308, 609, 1346, 2152, 543, 2097, 856, 6793, 593, 519, 824, 2427, 269, 901, 4222, 2636, 721, 547, 3082, 1134, 547, 1689, 267, 2226, 3666, 1282, 17173, 5712, 267, 543, 9156, 3533, 689, 22303, 780, 1692, 2052, 1411, 12706, 26504, 2496, 3086, 602, 649, 1174, 1018, 6043, 568, 1577, 781, 3605, 2081, 547, 1831, 811, 14388, 269, 3371, 616, 2185, 2994, 547, 1376, 1210, 2221, 1384, 272, 269, 3763, 1966, 9010, 1983, 281, 4804, 875, 547, 10994, 2591, 2212, 6823, 786, 1118, 596, 811, 8746, 538, 7829, 14488, 269, 6657, 8840, 1524, 2462, 4247, 883, 4130, 2694, 865, 789, 1810, 1405, 3100, 11566, 269, 4746, 267, 2119, 23730, 1114, 3435, 1354, 7446, 835, 547, 1847, 4464, 609, 563, 273, 269, 12706, 513, 1489, 3060, 281, 28259, 3054, 609, 2828, 267, 1920, 2818, 267, 3610, 267, 543, 1866, 945, 1416, 827, 596, 543, 1616, 547, 1294, 596, 8011, 269, 19457, 707, 4555, 543, 4606, 609, 873, 666, 2709, 1007, 5380, 543, 4313, 1282, 4101, 8090, 269, 5457, 267, 6998, 585, 948, 2982, 15657, 543, 7326, 2336, 274, 269, 715, 4669, 675, 27277, 281, 8347, 3168, 693, 1142, 3510, 689, 2789, 7285, 269, 29760, 593, 519, 2318, 3344, 540, 513, 4161, 666, 2285, 596, 4126, 543, 8404, 547, 7903, 998, 269, 4634, 1498, 621, 1522, 581, 2352, 3006, 267, 18468, 602, 1434, 1919, 666, 2097, 689, 3983, 2833, 2306, 782, 519, 3017, 563, 275, 269, 22737, 9073, 607, 3255, 281, 13760, 602, 1818, 6959, 568, 3339, 543, 2556, 585, 2123, 2208, 269, 7348, 17277, 13522, 607, 8458, 547, 1451, 3407, 4245, 2864, 982, 14286, 269, 1635, 3257, 865, 267, 596, 3513, 1020, 513, 2208, 14820, 267, 799, 7512, 16177, 543, 9542, 780, 18600, 3734, 6201, 540, 26504, 692, 2080, 616, 1079, 11121, 2984, 11744, 6909, 6043, 1384, 7078, 476, 272, 281, 5689, 8403, 962, 748, 2378, 345, 2967, 454, 22416, 8403, 5185, 1082, 23434, 3395, 909, 538, 9031, 1813, 547, 1200, 14223, 585, 6690, 262, 2069, 2924, 269, 2311, 2085, 476, 1428, 267, 1352, 729, 8929, 676, 519, 13669, 28063, 855, 15068, 1310, 8391, 2564, 2126, 13383, 269, 6736, 6937, 1996, 1200, 1272, 267, 5689, 8403, 4797, 8165, 585, 1169, 8004, 781, 1318, 547, 7390, 1153, 269, 4653, 267, 1352, 568, 606, 9565, 19191, 267, 2278, 267, 543, 17587, 13458, 15356, 31444, 622, 269, 4173, 26772, 10100, 28837, 3020, 6043, 780, 7078, 476, 273, 281, 7812, 16888, 454, 12441, 596, 917, 602, 14912, 10828, 7812, 16888, 4769, 1405, 1118, 1010, 1164, 1153, 2319, 7620, 286, 1261, 1223, 723, 2016, 909, 267, 855, 3079, 267, 646, 1031, 713, 1305, 3724, 607, 4492, 547, 2087, 5128, 269, 3414, 11428, 543, 2259, 267, 646, 5555, 2968, 835, 540, 519, 6574, 5716, 538, 715, 10621, 1686, 269, 3571, 1650, 11414, 721, 602, 18349, 543, 5821, 5749, 1405, 1439, 9557, 282, 789, 2811, 19480, 10007, 4724, 1967, 780, 1103, 10390, 281, 5901, 8347, 532, 267, 5901, 3911, 4979, 2439, 8855, 267, 3384, 6043, 3217, 942, 543, 4674, 267, 1175, 899, 1022, 824, 5578, 269, 1924, 581, 3461, 609, 3054, 543, 8661, 1507, 24984, 2059, 519, 1259, 269, 5700, 602, 1100, 2339, 1018, 9465, 2097, 707, 1259, 267, 596, 4865, 519, 6418, 4222, 2877, 547, 7753, 873, 269, 1656, 8164, 596, 991, 6667, 267, 1589, 540, 5689, 8403, 267, 7812, 16888, 267, 610, 4896, 3116, 945, 4951, 7415, 6043, 538, 20408, 14488, 269, 2060, 513, 5462, 6891, 543, 11215, 2146, 1472, 596, 267, 4986, 666, 3180, 596, 1394, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 27736, 685, 4332, 17058, 616, 513, 2027, 942, 4904, 609, 17409, 267, 14735, 267, 543, 3808, 1652, 1648, 269, 1452, 16873, 1665, 519, 4098, 540, 1776, 1032, 540, 2208, 267, 7045, 267, 543, 6602, 585, 938, 2370, 3283, 269, 1548, 1732, 1259, 547, 1118, 741, 1554, 1256, 811, 12300, 982, 609, 2295, 325, 3881, 543, 31369, 6835, 286, 1284, 786, 2263, 519, 1379, 540, 8716, 1913, 543, 1683, 513, 4015, 540, 31369, 6835, 3358, 585, 3214, 593, 741, 4332, 17058, 563, 3963, 6184, 2869, 1049, 11619, 1137, 17460, 454, 289, 9500, 17058, 616, 513, 1713, 24182, 538, 513, 1126, 779, 1272, 269, 1358, 21843, 711, 1175, 519, 8429, 540, 942, 855, 849, 519, 13250, 540, 2833, 543, 1565, 269, 6184, 2869, 1049, 6835, 666, 948, 1453, 1628, 1582, 12635, 267, 6043, 267, 543, 513, 2318, 19773, 593, 1272, 269, 1879, 649, 2671, 891, 6835, 267, 649, 616, 521, 12976, 519, 5452, 540, 6015, 543, 8990, 602, 786, 3337, 741, 20304, 563, 19465, 30151, 543, 8682, 8862, 2180, 454, 27736, 1419, 3068, 2591, 607, 789, 1332, 267, 689, 1153, 10467, 547, 2679, 17052, 269, 18964, 1913, 593, 741, 2840, 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, 738, 22899, 26504, 257, 607, 851, 540, 834, 306, 23852, 29803, 1315, 9608, 12618, 1315, 8682, 7232, 4614, 655, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8702, 547, 938, 3408, 540, 14951, 6968, 32741, 256, 1452, 2984, 9192, 1079, 2442, 11964, 910, 15832, 543, 2962, 1299, 7045, 910, 883, 835, 13858, 1995, 269, 5994, 2469, 593, 513, 3552, 3460, 4904, 609, 8594, 267, 9814, 267, 543, 6148, 1256, 930, 2648, 2439, 5575, 267, 1577, 781, 1174, 1018, 891, 2835, 616, 827, 269, 589, 14951, 6968, 15832, 3335, 3322, 513, 16502, 630, 528, 1895, 540, 23233, 264, 945, 2377, 10225, 593, 513, 1391, 547, 1265, 6456, 13284, 1127, 269, 13966, 519, 1259, 267, 789, 7237, 1585, 2591, 543, 2743, 1007, 1004, 269, 10705, 267, 513, 11509, 4276, 3029, 1063, 519, 1292, 3197, 1247, 789, 6330, 998, 741, 829, 559, 748, 16939, 780, 4131, 781, 4685, 4514, 883, 1946, 649, 2972, 2542, 891, 9159, 8941, 780, 1262, 2750, 322, 924, 618, 543, 12246, 335, 1619, 5093, 3807, 899, 4730, 707, 5172, 3381, 3014, 610, 8384, 606, 27093, 7260, 267, 14951, 6968, 32741, 1832, 721, 593, 6316, 269, 1284, 2760, 917, 952, 519, 12325, 786, 9101, 519, 804, 583, 2583, 540, 5636, 1622, 610, 3605, 519, 1279, 2000, 739, 14951, 1354, 2576, 3116, 1281, 269, 1306, 3988, 267, 649, 23362, 2490, 3817, 547, 10625, 11580, 543, 4194, 13410, 7258, 938, 11537, 3197, 780, 1262, 305, 558, 4842, 570, 3290, 5093, 5620, 596, 2479, 5433, 17984, 950, 6158, 547, 707, 24807, 286, 2107, 9289, 2436, 789, 17329, 596, 1394, 286, 4270, 267, 9062, 1346, 4606, 676, 4557, 543, 1039, 1272, 18446, 9465, 267, 543, 596, 1205, 513, 6492, 540, 1018, 938, 3197, 979, 998, 256, 654, 10248, 873, 1020, 4606, 585, 1142, 824, 9624, 14784, 8591, 1776, 4494, 540, 26675, 543, 10508, 780, 1262, 1805, 3994, 16992, 5093, 3776, 12703, 17701, 2356, 4865, 2189, 1983, 543, 7907, 602, 948, 873, 7753, 14488, 269, 1358, 1451, 3407, 4245, 2429, 741, 15322, 543, 1419, 1332, 6793, 1927, 269, 22628, 971, 1646, 2306, 721, 17869, 585, 873, 782, 519, 811, 2439, 3086, 267, 1934, 781, 606, 1383, 540, 513, 1134, 8153, 14951, 6968, 15832, 3126, 1572, 834, 763, 717, 3019, 625, 1701, 9282, 20248, 513, 4670, 2864, 982, 513, 1433, 267, 922, 8560, 1851, 10708, 2306, 621, 3501, 585, 10962, 519, 9135, 1384, 1103, 834, 763, 717, 3019, 625, 2437, 513, 1895, 540, 2828, 2713, 538, 513, 1507, 4884, 588, 3518, 956, 2390, 513, 4786, 3056, 547, 19266, 622, 14951, 269, 3220, 1508, 676, 18418, 566, 547, 4688, 741, 5321, 689, 23542, 819, 267, 789, 1246, 519, 13009, 543, 3068, 3875, 8062, 2059, 519, 1259, 269, 2060, 1169, 1900, 6251, 547, 519, 19539, 267, 17052, 15052, 267, 7554, 7794, 267, 543, 3020, 2648, 19674, 780, 2026, 1647, 30595, 267, 11362, 883, 891, 19511, 10600, 2636, 596, 547, 3635, 2565, 3206, 1983, 543, 1642, 2074, 707, 12823, 609, 24457, 995, 6386, 543, 2295, 342, 9879, 3347, 269, 1924, 10544, 513, 24120, 267, 1225, 331, 909, 538, 707, 1071, 345, 5006, 7944, 267, 543, 6336, 3054, 538, 513, 14951, 6968, 15832, 2221, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 12640, 6866, 596, 1224, 513, 1434, 1433, 267, 12341, 538, 519, 1158, 513, 7450, 10741, 547, 1450, 538, 811, 1769, 563, 296, 6415, 1175, 3843, 547, 1769, 909, 519, 1158, 607, 1454, 607, 594, 666, 835, 2233, 22380, 270, 1706, 534, 5436, 11721, 656, 6470, 4882, 10628, 22968, 270, 5503, 2951, 1433, 693, 513, 942, 563, 302, 330, 267, 594, 9364, 899, 547, 1376, 540, 609, 476, 272, 264, 606, 8343, 543, 476, 273, 264, 513, 1476, 11970, 563, 272, 264, 634, 1507, 8574, 10530, 693, 519, 1376, 540, 1142, 3184, 3352, 330, 539, 803, 1862, 3352, 330, 539, 803, 1945, 18979, 269, 20958, 22249, 6033, 286, 3143, 267, 855, 621, 729, 10423, 1318, 856, 540, 519, 10766, 563, 273, 264, 1411, 1058, 917, 602, 594, 729, 23387, 602, 713, 729, 519, 2034, 1433, 538, 513, 3126, 1354, 594, 16761, 621, 269, 901, 1522, 711, 723, 1044, 513, 1966, 7487, 607, 875, 621, 729, 1739, 1114, 3197, 713, 942, 1472, 645, 7473, 519, 2898, 1394, 32143, 1862, 519, 2898, 1686, 540, 519, 18903, 543, 519, 1686, 540, 519, 2622, 538, 2489, 729, 8268, 811, 7184, 538, 519, 1101, 1433, 1862, 865, 594, 4312, 4862, 269, 2334, 1373, 1767, 594, 1705, 1869, 899, 519, 4282, 2679, 855, 621, 1705, 711, 1745, 15774, 6862, 2347, 1862, 519, 18140, 1236, 5792, 1472, 899, 513, 1854, 742, 548, 6477, 609, 5084, 291, 3597, 532, 1472, 20093, 5597, 267, 10478, 9087, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 16337, 1315, 23620, 1315, 11059, 1299, 23874, 1315, 7066, 5501, 15391, 7931, 1734, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 3848, 7170, 281, 4197, 5274, 15213, 543, 26930, 538, 8567, 692, 8893, 20638, 281, 1635, 519, 1439, 540, 713, 3992, 267, 596, 786, 581, 2111, 547, 2491, 1018, 1480, 5191, 543, 5539, 1611, 538, 519, 2796, 540, 4168, 18381, 543, 1946, 789, 616, 1271, 780, 7072, 281, 5620, 596, 2479, 5433, 899, 1818, 513, 3375, 855, 14201, 1405, 2386, 952, 621, 729, 519, 1318, 3364, 547, 798, 286, 2107, 6148, 596, 1500, 513, 12161, 543, 24714, 596, 1223, 1491, 621, 1394, 286, 1306, 3425, 267, 649, 782, 723, 1863, 786, 910, 519, 2702, 547, 3442, 875, 649, 957, 543, 13789, 269, 2060, 1390, 1379, 2501, 1390, 5539, 267, 1498, 256, 3776, 5079, 666, 1764, 6000, 543, 1866, 1472, 721, 269, 4653, 267, 649, 3513, 2263, 891, 2035, 1369, 4168, 18381, 543, 1174, 875, 789, 3337, 1004, 781, 4978 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5378, 345, 341, 582, 543, 7881, 1369, 519, 2796, 540, 6014, 2219, 267, 3695, 875, 891, 4971, 906, 3337, 5837, 2418, 543, 2623, 269, 1635, 6313, 1585, 10952, 5380, 543, 4052, 3156, 267, 713, 4901, 6663, 547, 8774, 1769, 593, 519, 11972, 10083, 540, 5378, 345, 341, 582, 538, 5935, 5683, 8155, 543, 2932, 1851, 7642, 2221, 780, 4263, 519, 2295, 540, 5378, 345, 341, 582, 6013, 519, 26315, 531, 2078, 1063, 2696, 543, 519, 6014, 1004, 269, 4340, 547, 2757, 6014, 3661, 267, 950, 2696, 5391, 23306, 519, 25232, 689, 12266, 8474, 267, 1261, 9411, 883, 513, 2027, 6876, 609, 873, 693, 6778, 31291, 328, 269, 1306, 851, 540, 713, 26315, 267, 2696, 4843, 519, 14210, 16710, 906, 267, 2059, 609, 3875, 3606, 4031, 602, 1131, 1831, 519, 4493, 585, 6014, 2616, 766, 269, 2755, 930, 949, 2070, 5378, 345, 341, 582, 3274, 607, 3652, 13684, 676, 513, 2362, 6392, 267, 789, 666, 849, 581, 6956, 607, 7215, 540, 2648, 267, 20174, 267, 543, 14696, 2509, 2696, 269, 5047, 267, 676, 16180, 891, 10143, 12981, 267, 7642, 3565, 547, 519, 7104, 1134, 5630, 540, 2486, 543, 6542, 741, 7029, 547, 30176, 10723, 5389, 780, 3080, 9565, 14544, 945, 8268, 519, 4276, 1063, 5378, 345, 341, 582, 543, 7881, 729, 15887, 6798, 15584, 1649, 631, 2727, 517, 267, 1732, 1634, 607, 631, 2727, 517, 1938, 630, 13647, 279, 1700, 6344, 275, 9460, 1040, 769, 1010, 25761, 960, 267, 519, 631, 880, 928, 327, 22560, 267, 631, 2727, 517, 1938, 13890, 513, 9836, 1935, 547, 6014, 1876, 267, 12180, 782, 476, 277, 1724, 5378, 345, 341, 582, 883, 27552, 6688, 269, 7324, 891, 941, 2318, 4971, 906, 1765, 13905, 4481, 32486, 676, 2696, 11652, 2942, 4971, 906, 1765, 2889, 3031, 1243, 5615, 269, 1280, 631, 2727, 517, 1938, 267, 15984, 547, 891, 4808, 27838, 21644, 971, 607, 5126, 267, 8296, 267, 543, 7326, 267, 7551, 5009, 1367, 543, 6848, 30436, 269, 5015, 267, 646, 5156, 602, 2502, 538, 5378, 345, 341, 582, 3366, 547, 7214, 19870, 267, 3850, 2043, 547, 12492, 4514, 5813, 883, 519, 2470, 540, 2696, 543, 519, 7122, 780, 5194, 2565, 2460, 540, 5378, 345, 341, 582, 3322, 519, 1523, 540, 737, 24170, 1695, 267, 610, 9837, 269, 15439, 7900, 513, 26017, 2962, 1281, 711, 3411, 823, 282, 2864, 267, 835, 1590, 2226, 513, 25442, 7287, 547, 1921, 609, 2696, 2429, 519, 1184, 269, 769, 713, 1259, 267, 5378, 345, 341, 582, 16637, 6071, 9161, 2065, 2853, 543, 2981, 883, 6209, 13341, 609, 519, 10143, 269, 12634, 6014, 16159, 11875, 3999, 715, 269, 16910, 742, 19286, 919, 713, 1448, 538, 1010, 1433, 267, 11146, 2659, 27199, 4011, 543, 23126, 281, 589, 6014, 13979, 547, 7073, 9608, 5020, 1384, 10527, 2773, 540, 1022, 2016, 5378, 345, 341, 1695, 1058, 2760, 1831, 6296, 610, 13128, 1862, 5502, 267, 1169, 957, 11129, 547, 4125, 6857, 8086, 827, 922, 2495, 543, 3483, 2507, 8307, 1287, 786, 938, 2729, 581, 29689, 609, 2868, 1465, 14325, 1607, 8561, 593, 9837, 1275, 24889, 7184, 609, 2413, 6014, 17024, 899, 24497, 14062, 21469, 918, 809, 630, 5908, 276, 1700, 4350, 276, 9460, 1070, 945, 1064, 1243, 602, 5378, 345, 341, 582, 4865, 17271, 1871, 3564, 741, 10626, 538, 15725, 1480, 2623, 269, 1280, 918, 809, 267, 1142, 5378, 345, 341, 1695, 3568, 31168, 540, 10143, 1648, 7996, 547, 581, 5950, 998, 1697, 11056, 269, 1879, 5340, 609, 519, 2953, 14820, 267, 891, 6411, 723, 7096, 5289, 4539, 267, 7067, 20711, 1206, 1369, 519, 1582, 543, 19620, 10103, 547, 5137, 780, 1103, 1840, 547, 5466, 14375, 3347, 267, 1082, 5378, 345, 341, 582, 1445, 593, 1514, 10304, 267, 10771, 18497, 5539, 543, 17604, 269, 6201, 1331, 3246, 1489, 585, 7925, 5095, 267, 5356, 24756, 547, 21046, 267, 543, 14957, 585, 5126, 269, 3414, 3742, 6278, 609, 891, 4971, 906, 267, 7642, 11349, 6568, 543, 8296, 1247, 8195, 14304, 741, 2950, 780, 11101, 267, 5378, 345, 341, 582, 3136, 547, 3310, 4207, 9840, 4478, 6915, 25677, 2152, 267, 20515, 741, 5571, 10083, 538, 10188, 1950, 5837, 21140, 269, 2290, 8037, 1383, 25701, 547, 1418, 21856, 267, 1141, 20849, 12496, 2291, 3823, 2436, 621, 13054, 513, 18670, 540, 519, 29611, 1996, 964, 1815, 7992, 513, 1351, 335, 572, 630, 16622, 592, 8423, 564, 1040, 2368, 8044, 602, 1418, 21856, 20383, 609, 6626, 6014, 3741, 8716, 12468, 3058, 3646, 543, 2564, 7760, 269, 17957, 267, 1866, 25077, 602, 2463, 585, 15629, 8699, 29387, 338, 1761, 2640, 6508, 689, 13003, 5773, 269, 11086, 267, 14558, 28649, 8128, 20920, 609, 13326, 12721, 14422, 11251, 1369, 6014, 2245, 607, 789, 11441, 547, 4019, 15851, 10752, 547, 3209, 2591, 780, 13010, 267, 5368, 614, 13133, 725, 540, 5929, 5931, 2709, 4195, 4030, 883, 519, 10167, 540, 5378, 345, 341, 582, 543, 7881, 267, 11744, 875, 3504, 7326, 3788, 4143, 538, 2413, 2053, 269, 6333, 267, 585, 3236, 267, 15594, 31886, 540, 13669, 31053, 545, 11407, 602, 4161, 30013, 10054, 5817, 1978, 5947, 902, 269, 1635, 7586, 4328, 12790, 9739, 543, 6220, 3309, 5380, 267, 5640, 10802, 938, 1620, 540, 6014, 13919, 543, 3895, 3152, 13784, 1369, 3909, 5238, 780, 1103, 3932, 267, 5378, 345, 341, 582, 1106, 519, 5127, 13702, 540, 6014, 7881, 267, 7674, 607, 13654, 3741, 602, 3391, 5837, 3375, 6194, 543, 2123, 2208, 269, 3245, 10952, 29293, 547, 4052, 3156, 267, 891, 10143, 4971, 906, 2611, 7533, 547, 5935, 1367, 543, 7104, 9163, 9624, 2479, 21608, 2686, 8916, 269, 6787, 21679, 609, 10296, 6915, 25677, 4145, 610, 5275, 24176, 538, 942, 3620, 517, 1819, 12738, 267, 7642, 1265, 2933, 16111, 6537, 1394, 547, 519, 3638, 13795, 18955, 676, 5378, 345, 341, 582, 267, 12423, 1007, 16060, 540, 2495, 543, 6667, 2059, 519, 1259, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 303, 3789, 20513, 630, 26183, 288, 589, 312, 476, 1708, 274, 268, 1708, 275, 264, 7170, 7905, 540, 15215, 267, 30370, 744, 269, 28828, 331, 2006, 7905, 540, 6014, 5525, 8433, 25439, 630, 2568, 280, 264, 476, 28670, 268, 275, 4366, 278, 19478, 1496, 16942, 6870, 316, 8433, 476, 26801, 910, 476, 6942, 280, 8065, 8433, 25980, 21480, 1323, 2561, 2002, 618, 29425, 540, 5530, 4942, 3342, 4451, 543, 15215, 9824, 580, 542, 267, 15979, 267, 543, 15348, 22008, 2274, 7702, 15506, 333, 6308, 5652, 22008, 12713, 270, 20373, 2274, 7702, 15506, 333, 6308, 5652, 8678, 519, 12200, 538, 476, 1960, 278, 269, 4173, 3450, 543, 1382, 4690, 1331, 6138, 540, 4984, 267, 2413, 6014, 2219, 267, 1200, 332, 2940, 583, 923, 267, 543, 4207, 3656, 543, 2797, 3069, 269, 769, 476, 1220, 273, 1352, 4607, 23134, 779, 5518, 779, 13815, 585, 31692, 1639, 9752, 269, 2701, 568, 519, 2278, 540, 16740, 565, 520, 787, 543, 23830, 281, 634, 13898, 540, 30686, 25347, 345, 933, 580, 1234, 4621, 30872, 630, 32459, 17662, 267, 476, 1220, 271, 1070, 24955, 18135, 1380, 543, 2506, 28609, 2274, 9109, 553, 281, 13898, 543, 519, 15348, 540, 31694, 630, 23173, 8822, 267, 476, 1220, 277, 1070, 543, 1215, 17194, 645, 1815, 877, 513, 15215, 281, 1323, 4985, 547, 7073, 6014, 23539, 630, 32459, 17662, 267, 476, 1001, 272, 1040, 2701, 568, 4867, 2324, 593, 1079, 2835, 267, 519, 1101, 513, 13354, 1353, 540, 7503, 733, 549, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 300, 6308, 341, 582, 543, 15979, 257, 607, 851, 540, 834, 32628, 1315, 590, 1069, 976, 1315, 6014, 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, 272, 269, 273, 20828, 540, 519, 6092, 692, 8702, 1394, 547, 938, 3460, 998, 519, 4241, 1158, 540, 5101, 7489, 4654, 543, 4529, 256, 769, 713, 3296, 267, 649, 786, 2263, 519, 3483, 540, 713, 1576, 543, 1946, 621, 568, 1898, 585, 1169, 8049, 2875, 899, 596, 269, 1635, 1620, 519, 3853, 540, 713, 1362, 267, 596, 666, 1732, 5660, 519, 1871, 540, 1565, 827, 1114, 12977, 543, 741, 1764, 593, 2413, 2486, 269, 1924, 1577, 781, 4685, 883, 519, 4644, 540, 4974, 5101, 5607, 543, 922, 3638, 6561, 780, 763, 5295, 540, 5678, 454, 10900, 692, 5331, 1373, 2111, 547, 5968, 2770, 1836, 609, 936, 476, 272, 269, 276, 5479, 1004, 2066, 3624, 267, 3567, 267, 9705, 267, 543, 824, 2477, 538, 519, 3148, 269, 4804, 606, 5101, 7489, 1893, 711, 1152, 10741, 9885, 547, 2123, 4296, 855, 849, 2488, 3407, 1983, 585, 3486, 1870, 267, 23372, 267, 9235, 267, 543, 1382, 3255, 269, 5047, 267, 13215, 891, 1950, 10409, 1949, 10597, 5042, 5759, 971, 607, 1966, 9010, 267, 1617, 527, 27965, 267, 543, 2686, 8417, 1765, 12921, 1571, 3810, 8179, 1310, 676, 12820, 5001, 780, 4462, 557, 4979, 8836, 7066, 9778, 454, 10900, 19030, 292, 770, 7489, 4529, 30107, 27453, 6040, 5389, 602, 3136, 547, 3337, 4207, 1148, 267, 3332, 267, 2575, 267, 6138, 267, 543, 1514, 8155, 269, 5548, 1324, 883, 8106, 5931, 267, 6965, 267, 30951, 267, 610, 2757, 14364, 2636, 721, 547, 10625, 15851, 7326, 543, 15312, 602, 13469, 7184, 1369, 1480, 1995, 269, 5015, 267, 6313, 3140, 7835, 689, 3504, 30552, 770, 625, 547, 2413, 4182, 32145, 28382, 721, 609, 2565, 5380, 593, 1379, 6384, 267, 14051, 267, 543, 3961, 5250, 780, 32382, 6820, 7464, 885, 454, 10900, 13430, 2026, 4961, 540, 606, 5051, 10562, 1158, 267, 1620, 5101, 7489, 7239, 2337, 721, 6330, 1950, 23786, 2152, 267, 2804, 3466, 267, 543, 6639, 7760, 269, 3245, 6237, 7526, 547, 30427, 21769, 267, 26762, 3309, 16752, 11942, 6568, 543, 9316, 1851, 6082, 269, 3958, 267, 21679, 609, 5101, 5607, 781, 4028, 20012, 267, 2825, 2591, 267, 543, 3059, 14759, 22316, 721, 585, 21365, 2147, 2042, 6251, 547, 1753, 780, 23114, 12618, 1299, 2037, 5341, 618, 454, 10900, 21387, 7661, 267, 3695, 5101, 7489, 4654, 543, 4529, 10114, 999, 1582, 22523, 543, 7214, 2208, 269, 16871, 14542, 2093, 267, 9821, 267, 543, 7499, 7215, 21040, 938, 20030, 543, 27862, 938, 2729, 269, 3414, 21599, 538, 4914, 10209, 1132, 267, 2148, 2137, 267, 12583, 267, 543, 24866, 267, 649, 11349, 1930, 16490, 1145, 267, 5876, 267, 6043, 267, 543, 13916, 1765, 638, 8017, 602, 4196, 721, 1134, 1312, 3330, 543, 3544, 519, 4928, 780, 1103, 5758, 267, 519, 3483, 540, 713, 10572, 5525, 1576, 11498, 3564, 4081, 9740, 282, 621, 6663, 547, 7668, 596, 609, 1702, 267, 1983, 267, 543, 8456, 2556, 585, 14762, 538, 2221, 781, 3309, 543, 6422, 2518, 5251, 269, 1635, 18167, 883, 5101, 7489, 4654, 543, 4529, 267, 596, 7832, 593, 513, 13858, 7045, 4904, 609, 6602, 267, 4276, 267, 543, 7004, 269, 3767, 602, 649, 4312, 3964, 519, 2956, 540, 938, 3460, 267, 1205, 4712, 547, 2263, 9159, 2984, 267, 14262, 18563, 267, 9565, 17024, 267, 543, 18198, 6575, 689, 3624, 267, 3567, 267, 9705, 267, 543, 3564, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 23149, 5525, 538, 5101, 7489, 19932, 543, 27639, 834, 5497, 585, 1164, 1153, 1053, 563, 2171, 616, 4867, 1603, 519, 1101, 3184, 281, 834, 272, 269, 4985, 8487, 2171, 723, 2907, 4988, 519, 1739, 1016, 26972, 538, 519, 1699, 3184, 281, 834, 272, 269, 272, 269, 11137, 540, 519, 1576, 8487, 2237, 519, 1007, 1016, 15492, 11331, 834, 272, 269, 273, 269, 20828, 540, 519, 1576, 257, 1247, 3843, 547, 581, 912, 268, 21004, 910, 596, 1711, 4101, 9499, 602, 3382, 519, 1570, 538, 3178, 563, 268, 12056, 910, 707, 9499, 723, 513, 2239, 9095, 543, 2502, 3159, 267, 899, 519, 1603, 540, 7812, 11066, 563, 268, 11930, 910, 596, 946, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 8196, 1893, 543, 1806, 602, 1131, 9305, 609, 18295 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7467, 779, 8666, 10070, 6273, 676, 519, 1455, 2259, 540, 7432, 2123, 6337, 883, 2022, 11568, 538, 519, 2250, 269, 7689, 1544, 2093, 1331, 4484, 1603, 17074, 543, 2326, 563, 14006, 11568, 1500, 609, 21305, 5961, 538, 519, 7467, 781, 14635, 454, 763, 1284, 3058, 2672, 527, 13826, 6271, 9290, 13826, 786, 1331, 513, 1362, 1305, 540, 16887, 2966, 11308, 3138, 1682, 602, 666, 581, 1031, 585, 22805, 513, 1433, 5658, 269, 589, 3761, 540, 20612, 786, 1205, 891, 3785, 3323, 269, 4841, 786, 1451, 22805, 2474, 899, 2112, 335, 543, 649, 1111, 269, 901, 2534, 786, 22937, 3294, 1134, 547, 3450, 1273, 614, 940, 1247, 1565, 827, 875, 20955, 941, 1500, 538, 519, 2038, 2395, 540, 519, 6019, 269, 634, 1650, 540, 519, 7467, 779, 21409, 28561, 3138, 558, 786, 1039, 930, 3140, 1702, 269, 11819, 1344, 786, 1683, 5528, 585, 519, 22805, 1788, 269, 10049, 616, 3177, 585, 513, 1507, 1491, 1753, 22805, 1788, 607, 513, 1246, 909, 2534, 585, 3885, 547, 2347, 693, 1753, 563, 785, 1339, 22805, 3138, 1682, 454, 763, 5403, 531, 2672, 527, 13826, 543, 519, 1284, 3058, 2672, 527, 13826, 786, 581, 2139, 585, 24228, 538, 476, 1708, 274, 563, 18662, 16731, 19662, 634, 5664, 6807, 543, 10588, 7467, 568, 6126, 547, 10950, 1153, 11564, 547, 519, 7467, 269, 6250, 1080, 666, 581, 1433, 539, 585, 519, 3275, 540, 5181, 267, 5239, 267, 2904, 543, 4873, 563, 300, 5237, 13538, 267, 21039, 538, 1974, 9660, 267, 616, 6126, 547, 1683, 513, 2407, 1982, 540, 2238, 585, 1053, 547, 2285, 873, 513, 6492, 540, 2199, 1686, 269, 769, 519, 3427, 3336, 267, 789, 1451, 1018, 4245, 941, 899, 538, 519, 476, 5197, 271, 781, 269, 589, 3643, 547, 519, 476, 8146, 271, 779, 19970, 8761, 875, 13896, 5030, 741, 2729, 1510, 11255, 21818, 610, 5201, 269, 4033, 2238, 1331, 519, 4316, 547, 798, 930, 22805, 543, 1451, 827, 519, 13896, 685, 3460, 689, 519, 2025, 2197, 269, 589, 11461, 4663, 3947, 519, 1053, 513, 4960, 547, 1294, 543, 1451, 827, 519, 7467, 779, 1082, 267, 1082, 13742, 269, 2986, 1576, 267, 1100, 3643, 547, 606, 476, 5908, 271, 779, 3427, 5264, 1131, 581, 2347, 1510, 930, 2757, 9205, 3756, 593, 519, 1153, 12881, 1141, 1453, 723, 5129, 585, 936, 513, 2540, 269, 10632, 899, 634, 3400, 806, 267, 521, 871, 14797, 543, 7574, 588, 7927, 1397, 2221, 779, 1053, 875, 1453, 3893, 3635, 543, 1185, 1187, 609, 2241, 267, 4948, 3688, 693, 1688, 269, 589, 4190, 5614, 1554, 538, 519, 24781, 2488, 513, 3501, 4960, 585, 513, 17552, 5371, 12899, 896, 519, 12094, 4054, 538, 519, 4998, 4259, 269, 634, 7467, 13538, 616, 11235, 547, 10950, 811, 8436, 547, 1491, 513, 1900, 1394, 538, 942, 563, 29309, 11835, 543, 7323, 8861, 454, 29309, 6307, 267, 7323, 14667, 543, 7323, 21965, 454, 4537, 16336, 543, 11427, 269, 645, 454, 29309, 3798, 603, 543, 7323, 8861, 454, 29309, 17214, 548, 710, 543, 589, 2863, 773, 2506, 454, 2252, 596, 6999, 547, 679, 638, 790, 827, 1433, 532, 513, 1895, 3643, 267, 5225, 3346, 721, 269, 19130, 856, 519, 1106, 2630, 610, 2285, 721, 513, 1289, 693, 476, 277, 1724, 268, 28796, 268, 276, 5379, 273, 0, 294, 541, 997, 21555, 616, 538, 519, 3377, 609, 10169, 7362, 1652, 24657, 630, 1294, 1934, 454, 314, 335, 599, 13665, 316, 543, 1934, 454, 264, 607, 519, 1684, 615, 1399, 4659, 454, 13757, 4080, 602, 13342, 21555, 616, 2111, 547, 2061, 14798, 543, 16568, 17336, 268, 273, 3968, 540, 2281, 538, 2528, 269, 10251, 267, 519, 2407, 8097, 3877, 616, 711, 2139, 267, 855, 519, 2360, 540, 13342, 21555, 593, 10194, 3968, 538, 9678, 2281, 723, 1044, 2938, 1354, 543, 2303, 13342, 568, 12691, 547, 1860, 519, 1576, 540, 5046, 3968, 563, 294, 541, 997, 1349, 814, 1044, 3254, 547, 21391, 3644, 2534, 5892, 630, 10059, 2517, 4178, 8542, 322, 6798, 8542, 27476, 8542, 8811, 10993, 9706, 32508, 270, 14895, 18025, 10157, 278, 6246, 275, 4281, 275, 13045, 1070, 543, 16568, 17336, 268, 273, 538, 1880, 630, 10059, 2517, 4178, 8542, 322, 6798, 8542, 27476, 8542, 8811, 10993, 9706, 32508, 270, 14895, 18025, 10157, 5952, 279, 13679, 280, 13045, 4913, 267, 1247, 891, 840, 30570, 2090, 616, 606, 1898, 1101, 1900, 547, 3384, 11257, 267, 972, 568, 513, 1279, 1259, 547, 979, 1354, 891, 21555, 666, 581, 7550, 607, 2061, 2510, 610, 5574, 269, 2991, 782, 267, 607, 594, 1767, 593, 9012, 13772, 454, 267, 1082, 1919, 6146, 8290, 538, 8286, 267, 1519, 1349, 540, 2025, 10887, 563, 294, 541, 997, 814, 1044, 1031, 538, 11955, 585, 27453, 267, 4352, 2963, 602, 621, 568, 2965, 3730, 568, 7361, 15877, 269, 12275, 997, 779, 1034, 7986, 3334, 616, 5214, 16247, 7135, 799, 2285, 621, 922, 10058, 9329, 269, 2859, 982, 13977, 16247, 5627, 7135, 616, 1459, 538, 13342, 2059, 609, 824, 5732, 3742, 7135, 971, 607, 682, 322, 603, 514, 781, 543, 32064, 1355, 14434, 630, 10059, 2517, 4178, 8542, 322, 6798, 8542, 27476, 8542, 8811, 10993, 9706, 32508, 270, 14895, 18025, 10157, 278, 6246, 275, 4281, 275, 13045, 1040, 634, 5214, 16247, 7623, 2353, 545, 514, 454, 529, 2219, 547, 581, 519, 3119, 5057, 3743, 585, 27179, 2534, 563, 2467, 729, 513, 19583, 602, 10438, 13342, 1522, 948, 609, 519, 16063, 2360, 540, 5046, 267, 543, 7654, 1291, 547, 5488, 6051, 3842, 2360, 593, 519, 22542, 8778, 269, 2755, 621, 568, 3833, 2312, 602, 5046, 3123, 454, 326, 770, 549, 14528, 2589, 267, 621, 568, 1447, 2312, 952, 713, 568, 1813, 547, 3644, 538, 454, 1492, 22542, 8778, 11006, 547, 519, 22542, 13423, 26375, 267, 3644, 3478, 547, 519, 22542, 2281, 454, 16129, 519, 1973, 610, 1813, 547, 519, 11528, 2360, 540, 519, 3644, 269, 4634, 952, 621, 454, 529, 1813, 547, 3644, 538, 519, 22542, 8778, 3468, 532, 519, 22542, 13423, 26375, 267, 621, 568, 711, 454, 27234, 972, 1131, 581, 513, 1164, 2614, 5834, 538, 519, 8937, 1543, 547, 454, 17380, 3644, 11006, 269, 634, 2101, 3390, 543, 2731, 3978, 2360, 540, 5046, 568, 519, 454, 341, 6400, 11006, 538, 519, 9641, 630, 663, 519, 2360, 593, 10009, 543, 519, 454, 24711, 1070, 865, 7133, 519, 22542, 8778, 568, 711, 2693, 547, 723, 513, 1713, 454, 11069, 716, 593, 519, 1576, 610, 519, 10782, 8801, 2360, 540, 5046, 563, 22102, 4791, 8062, 540, 13342, 21339, 2303, 789, 949, 2569, 2589, 267, 855, 711, 11841, 267, 540, 897, 1091, 543, 2770, 269, 634, 5888, 543, 9830, 540, 891, 21555, 949, 711, 581, 13380, 547, 519, 2326, 7318, 676, 519, 1684, 615, 1399, 4659, 269, 589, 1507, 4693, 609, 513, 25167, 13342, 1349, 538, 6413, 2213, 5046, 2550, 4951, 1100, 1713, 1198, 593, 519, 3119, 3800, 540, 3968, 6051, 630, 10059, 2517, 4178, 8542, 322, 6798, 8542, 27476, 8542, 8811, 10993, 9706, 32508, 270, 14895, 18025, 10157, 1911, 8099, 1789, 13045, 14454, 267, 1247, 519, 2164, 4080, 676, 519, 1684, 615, 1399, 4659, 616, 4277, 267, 2394, 4791, 8062, 723, 1044, 2944, 1100, 6811, 666, 581, 1500, 827, 519, 2360, 540, 891, 21555, 585, 519, 6604, 543, 5924, 2126, 540, 14798, 1577, 4805, 5046, 269, 2060, 1018, 1344, 649, 2907, 723, 267, 606, 4890, 4324, 4667, 3810, 5579, 9476, 1043, 563, 305, 537, 325, 681, 267, 772, 9536, 514, 590, 297, 267, 590, 1046, 518, 667, 298, 267, 5771, 24211, 267, 18498, 11536, 267, 1744, 559, 7032, 29273, 267, 715, 1695, 541, 700, 267, 570, 12637, 784, 334, 661, 267, 590, 1046, 518, 12676, 269, 4165, 643, 12637, 1761, 540, 13342, 630, 5472, 1756, 2893, 643, 636, 264, 543, 922, 1418, 657, 5285, 584, 7135, 281, 589, 9836, 9337, 540, 840, 12641, 25766, 543, 4791, 1239, 269, 12367, 5253, 2233, 3353, 565, 269, 476, 1708, 271, 4239, 282, 10441, 281, 25546, 268, 23056, 269, 8222, 281, 476, 1015, 269, 6200, 277, 10768, 6745, 604, 338, 269, 1708, 271, 269, 5400, 269, 24879, 269, 9210, 889, 476, 1708, 271, 4119, 476, 866, 269, 20163, 281, 476, 29044, 3607, 279, 2918, 282, 6751, 290, 2839, 281, 6751, 290, 278, 6246, 275, 4281, 275, 563, 9288, 15590, 321, 617, 623, 1421, 589, 2381, 328, 661, 1421, 570, 822, 817, 582, 328, 11860, 515, 21105, 631, 269, 4165, 643, 12637, 2534, 540, 13342, 1349, 593, 14118, 27833, 3644, 269, 22504, 4750, 540, 22870, 14347, 269, 476, 1220, 280, 282, 274, 263, 272, 2567, 866, 1700, 2537, 563, 2419, 24170, 28251, 267, 1744, 785, 324, 623, 267, 12852, 22894, 918, 267, 8496, 720, 681, 267, 932, 578, 323, 327, 776, 589, 269, 10495, 540, 14640, 268, 14813, 1663, 27833, 11314, 543, 12920, 698, 6921, 583, 1588, 769, 22128, 540, 1773, 3518, 6210, 2512, 320, 543, 2353, 1756, 2893, 643, 636, 6987, 847, 338, 269, 24103, 1758, 657, 344, 1763, 269, 476, 1001, 277, 4455, 11219, 684, 282, 279, 263, 273, 2567, 10755, 268, 1556, 269, 8222, 281, 476, 1015, 269, 25148, 274, 270, 6021, 278, 275, 268, 279, 5392, 271, 269, 15094, 6321, 273, 269, 20163, 281, 476, 17734, 31798, 876, 282, 6751, 290, 2839, 281, 6751, 290, 275, 4281, 25320, 276, 563, 300, 7238, 338, 321, 21516, 918, 267, 674, 761, 338, 577, 966, 301, 267, 1520, 6929, 700, 267, 12672, 14551, 339, 808, 267, 30421, 25632, 651, 631, 6224, 267, 6215, 639, 13873, 14150, 589, 297, 267, 15281, 655, 5674, 518, 667, 267, 4165, 601, 10458, 670, 269, 634, 6356, 540, 2353, 545, 514, 593, 519, 26287, 727, 540, 16568, 17336, 268, 273, 16791, 539, 595, 2728, 268, 274, 19204, 269, 13571, 19287, 2723, 269, 476, 1708, 272, 4239, 476, 2764, 282, 1321, 281, 278, 5379, 278, 4817, 269, 8222, 281, 476, 1015, 269, 24783, 280, 11721, 6193, 321, 269, 1708, 272, 269, 278, 5379, 278, 4817, 269, 20163, 281, 476, 31003, 6507, 273, 4817, 282, 6751, 290, 2839, 281, 6751, 290, 5952, 279, 13679, 280, 563, 25187, 5459, 31298, 267, 670, 12584, 6033, 15382, 269, 2353, 545, 514, 12713, 822, 22355, 543, 12713, 3225, 2526, 775, 689, 12275, 997, 4675, 6123, 543, 12275, 997, 16639, 269, 715, 19153, 269, 476, 1001, 279, 9947, 476, 2190, 282, 1015, 263, 278, 2567, 279, 1321, 269, 8222, 281, 476, 1015, 269, 26552, 271, 14672, 340, 1911, 3583, 279, 1321, 269, 20163, 281, 476, 26482, 23841, 3607, 282, 6751, 290, 2839, 281, 6751, 290, 2568, 278, 23841, 277, 563, 19604, 684, 984, 340, 2549, 698, 848, 543, 1866, 267, 2271, 820, 540, 12275, 997, 543, 4706, 12713, 5562, 22020, 267, 634, 4750, 540, 12594, 267, 11730, 476, 14530, 267, 17136, 476, 274, 267, 4728, 476, 1220, 272, 267, 9664, 476, 280, 4649, 306, 1700, 280, 7830, 306, 267, 4179, 2517, 8742, 3820, 270, 1015, 269, 11820, 274, 10768, 333, 270, 14530, 269, 274, 269, 280, 4649, 306, 454, 30357, 6409, 328, 19182, 267, 570, 24170, 2801, 328, 570, 16120, 2801, 328, 570, 267, 744, 724, 1794, 1014, 15406, 267, 570, 822, 3570, 661, 267, 631, 3326, 1794, 1228, 327, 590, 267, 715, 559, 334, 1993, 541, 623, 267, 744, 724, 1794, 1014, 590, 267, 670, 846, 514, 345, 1228, 327, 589, 267, 31928, 926, 589, 267, 5775, 926, 15011, 11420, 328, 631, 267, 1234, 345, 2801, 328, 590, 267, 670, 4100, 629, 14508, 631, 269, 6356, 4369, 540, 10783, 1881, 12275, 997, 6987, 847, 17327, 595, 2355, 2737, 607, 1520, 9857, 2779, 10657, 538, 11233, 1242, 14904, 609, 27649, 8376, 476, 1001, 280, 281, 589, 10222, 921, 5174, 331, 785, 15932, 1242, 2552, 9776, 11916, 23632, 269, 4354, 337, 14562, 1763, 7885, 5890, 269, 476, 1708, 274, 282, 7176, 281, 1911, 277, 4200, 269, 8222, 281, 476, 1015, 269, 6200, 277, 10768, 269, 2017, 1492, 637, 269, 1708, 274, 269, 1911, 277, 4200, 269, 9210, 889, 476, 1708, 274, 3057, 476, 1691, 269, 20163, 281, 476, 3607, 280, 7176, 273, 8660, 282, 6751, 290, 2839, 281, 6751, 290, 1911, 8099, 1789, 563, 24248, 1564, 281, 5046, 268, 866, 267, 3163, 18248, 3101, 267, 2257, 6927, 0, 763, 4518, 2657, 543, 8881, 5149, 11760, 2622, 3143, 30926, 4303, 593, 476, 4029, 2904, 543, 5000, 519, 2160, 2146, 547, 15666, 547, 519, 2160, 25003, 8889, 543, 2015, 519, 1072, 4220, 547, 2933, 543, 1866, 543, 3343, 1489, 547, 16718, 7296, 563, 5804, 476, 272, 5988, 267, 782, 2160, 22402, 543, 4609, 267, 1519, 782, 5656, 267, 3889, 267, 1286, 11614, 267, 9205, 2127, 543, 6472, 2968, 513, 8673, 6954, 267, 4195, 2011, 7997, 267, 4849 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15319, 1145, 693, 519, 4098, 540, 1142, 8400, 563, 288, 6292, 540, 1507, 1688, 268, 30135, 8591, 24362, 547, 513, 15815, 919, 15904, 693, 1753, 269, 1280, 713, 1847, 267, 4952, 596, 616, 1000, 26325, 519, 12035, 899, 8141, 6840, 593, 519, 19549, 540, 5147, 269, 5776, 609, 519, 12035, 4371, 693, 707, 25427, 338, 269, 12414, 873, 5594, 538, 547, 3068, 1142, 824, 543, 1118, 5216, 1507, 10580, 269, 3962, 5858, 1058, 581, 513, 2370, 2362, 2394, 519, 3946, 616, 16841, 269, 5269, 5216, 10580, 538, 519, 6587, 4287, 607, 596, 2539, 519, 7916, 269, 19244, 476, 273, 268, 274, 2053, 563, 3719, 16634, 594, 993, 711, 2386, 1946, 267, 855, 594, 993, 4466, 5761, 525, 12303, 7543, 8627, 594, 993, 8026, 855, 1256, 11979, 5761, 525, 609, 1175, 1250, 1560, 2597, 616, 865, 2182, 547, 798, 267, 594, 993, 849, 1152, 4743, 873, 538, 519, 4395, 540, 1250, 1850, 269, 594, 917, 547, 1832, 476, 3445, 4110, 7285, 267, 711, 547, 18846, 4464, 693, 519, 22765, 543, 711, 547, 8831, 1250, 12597, 4464, 540, 1250, 3723, 267, 865, 594, 993, 11842, 952, 6148, 1250, 8423, 1598, 902, 616, 1175, 1273, 24312, 4617, 610, 1945, 26834, 888, 296, 11751, 713, 1433, 1082, 1296, 3516, 543, 585, 513, 1247, 5156, 602, 8111, 306, 869, 630, 26774, 264, 729, 519, 10700, 2866, 7014, 269, 3767, 594, 3494, 602, 621, 568, 1175, 835, 540, 1082, 2500, 2866, 2553, 269, 594, 849, 3494, 602, 952, 670, 8553, 1231, 1131, 9192, 8111, 306, 869, 609, 3768, 6819, 1974, 1436, 267, 849, 1201, 1229, 547, 607, 22357, 1974, 1436, 676, 18307, 1188, 1299, 26689, 655, 518, 538, 741, 1433, 19630, 328, 1944, 23848, 9751, 267, 646, 1223, 1205, 1082, 811, 17838, 269, 8176, 2717, 1172, 514, 568, 540, 519, 6644, 602, 585, 4359, 27466, 525, 1210, 519, 1482, 15205, 630, 704, 1417, 720, 540, 476, 272, 305, 300, 264, 786, 723, 513, 29415, 1198, 1369, 3670, 23736, 269, 1924, 267, 538, 572, 611, 540, 1210, 8111, 306, 869, 1152, 585, 9793, 12035, 267, 23736, 666, 581, 3124, 730, 1210, 18219, 12035, 609, 7864, 1065, 338, 829, 1305, 538, 835, 15904, 543, 9793, 12035, 538, 519, 1985, 15904, 269, 634, 946, 540, 5230, 12035, 3340, 811, 982, 835, 1305, 1498, 269, 898, 4667, 602, 1100, 2339, 1018, 2866, 3432, 835, 3096, 972, 4667, 547, 581, 513, 5934, 2179, 540, 960, 547, 3035, 513, 2866, 1198, 269, 594, 6836, 8111, 306, 869, 609, 3768, 6819, 1974, 1436, 607, 606, 4603, 543, 1500, 1434, 3356, 585, 1896, 4374, 269, 594, 1869, 946, 8111, 306, 869, 585, 827, 476, 736, 260, 540, 1250, 15904, 267, 855, 849, 723, 4362, 602, 31062, 11979, 6585, 616, 1360, 2500, 1932, 269, 594, 917, 602, 972, 616, 1346, 945, 12167, 2866, 3728, 267, 855, 1256, 18307, 1188, 543, 26689, 655, 518, 4363, 602, 3432, 610, 1379, 23736, 1118, 909, 1447, 982, 3368, 519, 2866, 942, 269, 14755, 267, 952, 3432, 543, 2557, 540, 3196, 1646, 616, 1271, 267, 1287, 1863, 2597, 320, 2731, 5749, 1405, 519, 1655, 4781, 269, 1772, 758, 514, 2045, 6191, 630, 14737, 580, 2096, 1070, 20950, 267, 7914, 13164, 267, 543, 7286, 7903, 5725, 267, 4915, 11084, 267, 9168, 8055, 6191, 267, 930, 1560, 7076, 5751, 267, 3092, 269, 616, 1732, 5079, 269, 670, 8553, 1231, 262, 1433, 1522, 581, 936, 26973, 952, 596, 1175, 1616, 519, 25229, 9323, 540, 8111, 306, 869, 269, 594, 6854, 9553, 585, 513, 1247, 607, 513, 3140, 3561, 269, 898, 1869, 1522, 581, 606, 4277, 6718, 1175, 547, 1224, 689, 519, 4487, 5128, 269, 634, 5377, 1899, 267, 594, 1589, 267, 568, 602, 8111, 306, 869, 666, 581, 1360, 2500, 585, 2679, 4222, 543, 2450, 269, 8111, 306, 869, 814, 922, 1033, 847, 832, 543, 621, 781, 711, 519, 1152, 3014, 538, 4884, 269, 594, 9364, 2731, 899, 547, 1294, 670, 8553, 1231, 1039, 3768, 6819, 1974, 1436, 547, 8111, 306, 869, 269, 594, 9364, 849, 899, 547, 1294, 930, 11826, 2090, 9236, 8111, 306, 869, 547, 824, 10873, 269, 4107, 2090, 865, 2484, 723, 1044, 30096, 269, 2368, 1004, 786, 711, 899, 8111, 306, 869, 4534, 2523, 607, 513, 11931, 2732, 267, 855, 585, 513, 2603, 540, 1866, 594, 1589, 621, 568, 4502, 513, 4693, 269, 9751, 666, 1205, 19309, 269, 589, 1906, 10016, 619, 869, 5036, 666, 1039, 3099, 563, 317, 30180, 909, 547, 281, 513, 536, 12070, 330, 8657, 29382, 267, 670, 1601, 664, 570, 267, 10830, 26712, 267, 29928, 18688, 267, 9061, 1633, 670, 267, 13879, 808, 267, 700, 965, 3534, 623, 267, 5783, 1189, 13305, 26413, 25526, 267, 645, 2240, 700, 267, 29928, 15382, 267, 661, 750, 3805, 570, 267, 681, 987, 332, 12329, 29273, 267, 8055, 918, 267, 590, 345, 1168, 322, 5414, 330, 27359, 267, 589, 750, 2023, 623, 297, 630, 18907, 476, 1001, 274, 1040, 834, 22546, 338, 540, 682, 1075, 710, 543, 922, 8311, 924, 16061, 31622, 32611, 268, 15512, 2173, 14007, 8117, 344, 3433, 593, 1480, 20258, 4887, 3940, 10307, 257, 630, 14457, 1040, 808, 269, 4284, 2723, 269, 476, 6795, 272, 630, 1556, 2567, 476, 29720, 272, 1700, 29580, 274, 269, 8222, 281, 1015, 269, 9340, 274, 10768, 31850, 2723, 269, 1001, 274, 269, 26562, 10711, 269, 6751, 290, 476, 3607, 280, 6187, 280, 275, 269, 20163, 476, 20720, 31982, 4510, 269, 8158, 476, 2767, 2904, 476, 1001, 277, 563, 763, 3209, 1399, 540, 519, 1459, 1353, 568, 602, 540, 11744, 519, 7872, 540, 7311, 513, 1808, 24526, 2168, 3635, 1982, 476, 593, 2635, 11361, 4079, 936, 476, 4792, 1296, 543, 10442, 922, 2360, 593, 6198, 4390, 1210, 519, 8106, 590, 10499, 1547, 1677, 17982, 519, 1164, 3635, 8515, 267, 649, 1031, 513, 15679, 1852, 896, 6024, 4977, 3308, 5464, 676, 513, 7328, 10196, 269, 1306, 4397, 267, 1310, 1152, 476, 1321, 4374, 540, 2866, 267, 649, 1336, 1713, 3986, 906, 540, 3592, 782, 1983, 7318, 269, 3776, 2164, 5693, 1397, 602, 938, 966, 292, 1982, 568, 4143, 543, 814, 513, 2318, 1764, 593, 1004, 936, 476, 4792, 538, 4543, 873, 547, 2226, 513, 1164, 2298, 540, 1272, 269, 634, 3017, 689, 1034, 540, 519, 3332, 1496, 1240, 1700, 2420, 316, 14621, 519, 3635, 7014, 8515, 267, 799, 568, 2356, 7646, 518, 982, 23600, 269, 4746, 267, 538, 519, 27069, 2090, 972, 729, 513, 4057, 3007, 827, 519, 4539, 540, 519, 3635, 1982, 593, 2489, 2298, 540, 1272, 540, 5396, 269, 1358, 5631, 5059, 593, 519, 22887, 18050, 4220, 540, 9991, 269, 2201, 519, 14669, 267, 519, 590, 10499, 338, 4294, 538, 938, 1353, 5693, 1397, 602, 938, 966, 292, 1982, 949, 993, 601, 1640, 622, 1896, 5179, 5759, 543, 538, 2490, 519, 2489, 2298, 540, 1272, 538, 2635, 11361, 4079, 936, 476, 4792, 1296, 540, 2085, 269, 1717, 267, 1079, 824, 2090, 4951, 602, 11361, 1004, 991, 547, 3635, 2673, 547, 741, 3970, 540, 5021, 4390, 1496, 2537, 267, 476, 2190, 316, 547, 2087, 741, 2168, 8516, 855, 267, 7429, 519, 1459, 1382, 267, 789, 941, 5342, 593, 2550, 945, 941, 538, 632, 935, 1288, 532, 4567, 5532, 547, 741, 5312, 10108, 269, 0, 30182, 4804, 5384, 454, 1103, 713, 2534, 1053, 723, 519, 4960, 547, 1353, 519, 5726, 540, 20996, 6052, 1210, 513, 16945, 18396, 2120, 1500, 676, 519, 1895, 269, 4841, 786, 723, 547, 2268, 519, 3432, 540, 519, 1843, 602, 7575, 593, 519, 16945, 1071, 2120, 693, 513, 1978, 4463, 540, 519, 2619, 543, 3313, 519, 15452, 543, 1761, 1648, 540, 519, 1843, 269, 4841, 1590, 9959, 952, 972, 568, 610, 568, 711, 513, 5726, 540, 20996, 6052, 538, 519, 16945, 910, 1723, 2120, 519, 1053, 723, 1500, 269, 1358, 1451, 827, 519, 7399, 543, 7687, 540, 16945, 1071, 7539, 1369, 519, 2796, 540, 1648, 5726, 267, 535, 2774, 1308, 9271, 543, 824, 2168, 3741, 269, 0, 303, 21329, 20275, 814, 1044, 2808, 513, 27803, 3075, 676, 7189, 2479, 2094, 621, 729, 1101, 1031, 538, 476, 3707, 273, 269, 898, 1223, 10826, 5176, 1169, 2068, 602, 621, 729, 11311, 585, 543, 729, 519, 2014, 540, 513, 2101, 7432, 1448, 538, 2622, 2782, 476, 273, 269, 8616, 267, 585, 519, 2250, 17288, 1296, 972, 723, 1044, 4551, 12490, 4362, 602, 666, 16641, 519, 1379, 540, 6755, 27957, 269, 634, 2527, 2504, 543, 21568, 540, 4050, 27957, 814, 3361, 519, 27803, 3075, 547, 1831, 23696, 2509, 3978, 5563, 563, 303, 21329, 20275, 568, 513, 1106, 540, 4550, 1532, 8438, 269, 634, 1101, 15084, 729, 4362, 676, 6754, 966, 340, 4068, 2381, 267, 945, 6594, 519, 2360, 540, 25095, 22719, 610, 519, 1184, 538, 799, 606, 11248, 3217, 1776, 779, 1272, 538, 1931, 547, 2226, 922, 1378, 1272, 630, 303, 7163, 476, 3393, 276, 1040, 6755, 27957, 568, 835, 540, 519, 1034, 1134, 1634, 543, 1034, 1031, 454, 2507, 19651, 811, 1543, 7498, 3080, 540, 519, 1034, 18476, 3096, 540, 4050, 27957, 729, 922, 2126, 540, 16415, 269, 6969, 4050, 27957, 519, 2669, 2557, 729, 476, 1789, 260, 855, 1310, 4367, 621, 8593, 547, 476, 277, 10065, 630, 303, 7163, 476, 3393, 278, 1040, 6755, 27957, 7012, 1406, 1152, 1031, 538, 519, 2112, 4674, 267, 855, 621, 729, 1818, 513, 3017, 782, 936, 519, 1158, 269, 4014, 4050, 27957, 729, 2938, 547, 1491, 593, 3592, 1022, 9190, 3968, 267, 621, 729, 711, 2394, 476, 3707, 279, 602, 519, 3075, 2968, 5963, 5499, 269, 6755, 27957, 966, 729, 5189, 538, 476, 3707, 279, 543, 729, 513, 14262, 6602, 269, 6755, 27957, 966, 729, 519, 1101, 4550, 1532, 17424, 4915, 602, 1223, 581, 3144, 676, 5023, 1317, 621, 9327, 1406, 1205, 10032, 676, 519, 7408, 538, 519, 7181, 630, 19365, 338, 476, 4968, 1040, 901, 4847, 7189, 1223, 547, 2285, 29893, 538, 1931, 547, 1205, 741, 2550, 11216, 267, 543, 789, 4769, 1406, 723, 547, 17982, 873, 998, 606, 594, 17679, 269, 1022, 811, 630, 295, 3711, 4802, 476, 7742, 1040, 9453, 519, 7245, 998, 606, 594, 17679, 269, 4050, 27957, 729, 2111, 547, 581, 3144, 693, 1753, 267, 610, 2476, 689, 2564, 15569, 630, 19669, 476, 25313, 1040, 14171, 519, 3075, 676, 5023, 4847, 1004, 547, 1491, 519, 5061, 693, 1753, 267, 855, 621, 729, 606, 27592, 585, 6057, 1317, 2564, 10986, 4769, 1406, 27459, 1047, 269, 6755, 27957, 814, 1044, 936, 4310, 2094, 621, 729, 2813, 269, 4658, 1810, 1406, 936, 2224, 519, 3075, 538, 519, 2631, 540, 2921, 1932, 1454, 282, 789, 936, 2224, 621, 676, 2921, 267, 610, 1095, 21564, 621, 538, 519, 4636, 3871, 630, 15463, 323, 2006, 476, 7906, 1040, 901, 666, 581, 2938, 950, 7189, 21559, 4050, 27957, 585, 1169, 6263, 1966, 4929, 13311, 4598, 547, 519, 3075, 269, 1323, 1383, 540, 713, 568, 950, 7189, 21559, 4050, 27957, 585, 513, 10194, 3968, 1510, 1256, 6616, 1018 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1478, 538, 476, 1220, 271, 267, 519, 14884, 723, 2094, 6039, 519, 3515, 8220, 7671, 31060, 5174, 553, 601, 267, 7671, 31060, 5025, 332, 23165, 3842, 595, 860, 928, 267, 7671, 31060, 5174, 6350, 17632, 3842, 595, 860, 928, 543, 7671, 31060, 6261, 30213, 3842, 5899, 817, 7921, 563, 763, 20653, 16619, 4528, 540, 519, 594, 4753, 268, 274, 5721, 568, 519, 21777, 4528, 540, 519, 594, 4753, 5721, 267, 543, 5310, 835, 602, 786, 20441, 519, 3864, 11782, 952, 519, 15840, 333, 814, 621, 741, 1259, 269, 634, 1523, 729, 1101, 22885, 538, 476, 1220, 280, 543, 2094, 476, 1001, 275, 267, 519, 1101, 14884, 723, 3144, 936, 930, 540, 519, 1271, 3515, 267, 12077, 1063, 595, 860, 928, 267, 7671, 31060, 543, 22540, 269, 901, 949, 1689, 538, 519, 1985, 1032, 607, 811, 540, 891, 14884, 267, 3168, 31933, 518, 982, 519, 3312, 594, 4753, 268, 274, 855, 2469, 1175, 607, 3728, 607, 922, 31317, 267, 616, 1305, 547, 1491, 936, 930, 540, 519, 1292, 16050, 3515, 267, 1519, 519, 1007, 1899, 1063, 12670, 543, 715, 675, 3088, 326, 3842, 8210, 31060, 269, 769, 1840, 267, 609, 922, 3811, 1449, 2196, 998, 519, 16402, 6874, 684, 6773, 267, 519, 15840, 333, 568, 3168, 693, 10243, 532, 891, 14884, 547, 4196, 519, 1899, 547, 5507, 3842, 8303, 543, 5924, 29761, 269, 1306, 519, 942, 547, 2951, 547, 7671, 31060, 689, 5507, 3217, 3670, 3108, 3079, 540, 476, 1240, 268, 736, 609, 3339, 14884, 267, 519, 946, 540, 891, 14884, 585, 713, 3483, 267, 952, 3811, 267, 1223, 1491, 519, 15840, 333, 547, 18960, 2157, 267, 4929, 824, 2477, 547, 1413, 693, 5125, 607, 606, 1383, 540, 875, 18213, 7841, 3028, 666, 581, 2919, 269, 19759, 569, 1498, 267, 519, 4367, 540, 519, 594, 4753, 268, 274, 309, 786, 2097, 693, 519, 1942, 540, 1079, 5721, 5049, 281, 634, 594, 4753, 268, 272, 543, 594, 4753, 268, 273, 267, 5103, 741, 2487, 22058, 725, 267, 786, 581, 10920, 2153, 539, 267, 3787, 676, 3787, 267, 4098, 538, 476, 1708, 271, 543, 476, 1708, 276, 267, 6606, 269, 2755, 519, 18960, 8747, 786, 1689, 519, 3239, 540, 519, 15840, 333, 267, 1082, 1004, 786, 4413, 519, 4587, 8747, 602, 723, 1500, 7841, 2951, 5488, 855, 6899, 563, 7661, 267, 519, 5767, 13120, 538, 5721, 2029, 602, 786, 1491, 7841, 2951, 2417, 3564, 476, 1708, 271, 568, 519, 15096, 343, 269, 634, 1523, 814, 1044, 5249, 593, 676, 1896, 3549, 538, 519, 4357, 9922, 855, 519, 14884, 786, 4183, 1312, 713, 4528, 267, 513, 3444, 1063, 519, 594, 4753, 268, 273, 543, 519, 594, 4753, 268, 274, 609, 476, 1321, 19393, 267, 607, 1134, 607, 513, 5595, 11546, 14982, 4528, 269, 634, 6272, 723, 711, 2943, 1044, 3803, 1242, 267, 855, 1079, 2188, 616, 1978, 281, 1358, 786, 581, 14887, 982, 519, 594, 4753, 13652, 1231, 609, 11250, 267, 3193, 532, 856, 693, 476, 1220, 5998, 270, 874, 630, 14862, 18890, 1070, 7132, 789, 786, 5372, 519, 4540, 3955, 30949, 14884, 602, 616, 936, 476, 3374, 1296, 2025, 543, 616, 5870, 519, 1439, 540, 741, 3730, 2729, 269, 1325, 2819, 9709, 568, 519, 10243, 532, 540, 519, 3515, 538, 519, 9456, 3368, 540, 5125, 4098, 538, 476, 1708, 271, 267, 519, 3515, 835, 799, 3955, 30949, 543, 5449, 594, 4753, 14884, 2899, 24964, 786, 723, 891, 14884, 538, 946, 676, 476, 10711, 271, 267, 1519, 2127, 538, 28554, 7559, 267, 14068, 523, 8862, 584, 1777, 1897, 326, 543, 2694, 540, 7187, 5125, 563, 1103, 519, 2250, 476, 2412, 1296, 267, 649, 723, 2938, 519, 13120, 538, 18213, 5721, 2029, 538, 5125, 543, 3564, 267, 4358, 609, 519, 4070, 540, 1007, 1164, 18286, 3515, 543, 519, 1646, 540, 1164, 3432, 14884, 267, 4553, 676, 519, 13120, 540, 5721, 2029, 547, 1118, 14884, 5488, 855, 10930, 585, 946, 267, 519, 7269, 543, 30222, 540, 4540, 7841, 3515, 547, 4482, 811, 15915, 267, 543, 519, 10137, 540, 7841, 2533, 547, 607, 2484, 2476, 607, 519, 5177, 543, 6576, 269, 634, 16456, 5251, 568, 4867, 18460, 513, 7004, 1141, 267, 609, 519, 4367, 543, 10243, 532, 540, 1007, 14884, 267, 1082, 3515, 616, 1373, 11280, 585, 1978, 14884, 269, 2755, 713, 949, 2097, 693, 519, 10982, 599, 540, 7264, 540, 4872, 267, 899, 16423, 338, 7921, 267, 808, 6511, 267, 1284, 31483, 543, 824, 4130, 2950, 267, 945, 786, 1294, 741, 594, 4753, 5721, 2533, 581, 8719, 609, 15096, 343, 267, 538, 519, 1439, 267, 7841, 2951, 538, 5125, 786, 1869, 2611, 513, 9434, 1995, 269, 901, 10039, 547, 1346, 945, 2760, 1185, 2760, 20335, 519, 17195, 547, 2951, 676, 5721, 1354, 1317, 540, 519, 3668, 540, 8244, 267, 855, 723, 5063, 6836, 621, 543, 1131, 798, 4376, 547, 946, 519, 5721, 1586, 593, 519, 1985, 7552, 269, 589, 3659, 540, 9553, 689, 3345, 21241, 1185, 602, 1995, 1282, 1200, 2063, 3643, 547, 5125, 543, 814, 602, 593, 1200, 1592, 540, 1919, 547, 798, 1586, 593, 519, 1985, 3864, 7552, 269, 1809, 585, 1346, 945, 1589, 602, 5721, 2951, 9673, 1206, 519, 5191, 547, 2951, 16382, 789, 1616, 547, 267, 1934, 779, 513, 2370, 1426, 585, 2219, 4502, 544, 1638, 532, 607, 713, 1279, 2376, 2501, 547, 513, 2673, 912, 9199, 767, 568, 14603, 547, 14882, 267, 2462, 582, 787, 267, 543, 7522, 16490, 1145, 268, 4460, 30805, 454, 2252, 835, 16858, 547, 2119, 1945, 1007, 267, 607, 606, 4244, 547, 10707, 676, 1286, 630, 528, 3006, 676, 7077, 1070, 835, 814, 547, 1930, 909, 547, 519, 3681, 602, 616, 538, 4395, 540, 721, 267, 543, 1413, 693, 782, 519, 2640, 3238, 269, 901, 568, 1018, 2306, 5125, 513, 2027, 1747, 269, 1284, 723, 519, 1668, 267, 519, 16996, 267, 519, 11332, 267, 543, 5103, 782, 519, 536, 1157, 1359, 267, 519, 15840, 333, 269, 9462, 502, 487, 454, 11947, 6489, 338, 15486, 13560, 539, 19029, 267, 13130, 619, 21541, 7896, 267, 15486, 12456, 1137, 547, 29844, 454, 289, 1731, 619, 1373, 27762, 1055, 676, 1164, 12798, 267, 1164, 6329, 4929, 2199, 14700, 543, 14796, 267, 10760, 1286, 537, 17632, 267, 543, 14884, 4189, 15468, 4054, 7168, 1454, 18304, 909, 513, 1554, 538, 2698, 14784, 2429, 5125, 543, 3844, 2342, 19108, 267, 607, 519, 7088, 21208, 20393, 6926, 342, 998, 519, 3148, 267, 609, 12798, 31830, 532, 909, 547, 476, 5002, 5998, 270, 874, 610, 476, 1911, 18890, 269, 3509, 1524, 539, 4054, 543, 10760, 11935, 3361, 3441, 547, 16841, 1379, 6050, 593, 7841, 3515, 267, 3976, 8744, 7841, 3028, 547, 513, 1796, 560, 650, 538, 1082, 2694, 540, 519, 2477, 269, 769, 28554, 7559, 267, 13722, 29017, 3415, 543, 3345, 10910, 710, 8862, 652, 13921, 807, 267, 7841, 3028, 729, 17735, 4625, 267, 16550, 1082, 14884, 547, 3247, 693, 519, 14282, 5721, 10473, 543, 10986, 547, 1683, 25778, 3101, 7399, 585, 9937, 540, 5215, 540, 18843, 539, 862, 26407, 269, 769, 13722, 29017, 3415, 267, 835, 6237, 5721, 729, 8572, 547, 3247, 538, 942, 547, 2057, 513, 9991, 3529, 269, 769, 1082, 4872, 267, 971, 607, 22540, 543, 12670, 267, 1769, 7841, 630, 306, 1532, 23167, 264, 2533, 941, 10300, 1540, 269, 4400, 12798, 849, 3361, 1082, 5033, 529, 543, 1256, 6517, 547, 16212, 936, 593, 4436, 1313, 984, 1695, 985, 267, 4929, 1082, 547, 581, 6806, 585, 1279, 5712, 540, 942, 269, 4469, 2074, 538, 543, 856, 540, 7671, 31060, 543, 824, 4872, 941, 23545, 539, 1813, 547, 1164, 12798, 269, 4634, 930, 15976, 267, 899, 519, 5993, 2749, 2344, 538, 4469, 839, 7921, 267, 941, 1572, 1055, 1813, 547, 10760, 11935, 543, 1164, 6329, 269, 16176, 729, 4080, 538, 519, 7187, 3368, 540, 5125, 267, 538, 4025, 899, 681, 739, 1442, 543, 31297, 269, 634, 7088, 568, 5156, 547, 581, 835, 540, 519, 10782, 538, 2487, 1686, 267, 9236, 621, 547, 519, 7088, 918, 10455, 559, 267, 799, 10969, 730, 1082, 2694, 540, 2342, 538, 5988, 476, 1220, 278, 269, 1703, 267, 1164, 12798, 543, 8731, 1370, 658, 11811, 3361, 3573, 3441, 267, 1379, 856, 1137, 538, 3003, 4872, 267, 899, 7395, 1372, 7921, 630, 514, 29017, 3415, 268, 2304, 327, 5306, 1070, 543, 519, 1101, 268, 1197, 9505, 1524, 540, 7841, 3028, 543, 28565, 593, 513, 5313, 1377, 563, 4407, 519, 12798, 723, 1631, 7449, 3660, 513, 3787, 2221, 267, 14914, 1934, 538, 5125, 543, 2694, 540, 2342, 568, 711, 3168, 1434, 585, 1022, 1453, 16462, 547, 6968, 585, 14914, 5798, 269, 16176, 267, 4764, 543, 12798, 616, 4397, 998, 519, 15964, 267, 3976, 2870, 519, 7872, 540, 513, 3043, 14914, 585, 519, 3791, 942, 538, 2185, 1296, 269, 14568, 1205, 519, 29078, 595, 4592, 2421, 5152, 856, 585, 14914, 10732, 267, 1317, 968, 2005, 779, 4098, 547, 1413, 513, 2603, 899, 2441, 268, 12103, 282, 7937, 7227, 256, 661, 320, 268, 3122, 17373, 9462, 502, 487, 454, 310, 5109, 596, 2922, 12599, 543, 1118, 519, 1655, 540, 14914, 5103, 6196, 2494, 15604, 779, 3801, 547, 2119, 543, 25010, 621, 2336, 763, 4469, 839, 7921, 28567, 814, 16432, 513, 1592, 540, 6402, 2921, 596, 547, 519, 26847, 267, 1141, 596, 666, 1294, 519, 3441, 2944, 676, 21208, 20393, 269, 634, 2959, 616, 2630, 912, 13707, 661, 743, 15199, 20224, 519, 3003, 1533, 267, 607, 476, 3199, 260, 540, 519, 7599, 6227, 3141, 269, 476, 1911, 260, 6227, 3665, 5375, 2342, 543, 519, 3345, 9533, 563, 21612, 299, 2562, 270, 2207, 293, 7838, 307, 270, 4596, 299, 8104, 20911, 268, 1306, 1082, 607, 476, 3583, 260, 540, 519, 4436, 2551, 610, 476, 2004, 2929, 3576, 5413, 540, 519, 32154, 4365, 543, 267, 11439, 609, 741, 12514, 267, 5100, 11436, 543, 7463, 23475, 28904, 267, 13227, 1117, 519, 3141, 607, 519, 7599, 4988, 909, 547, 476, 3199, 260, 540, 621, 267, 8380, 519, 2197, 883, 9864, 14334, 269, 6736, 19048, 602, 519, 24256, 1223, 20739, 752, 688, 22106, 593, 519, 1528, 597, 673, 1379, 1949, 1317, 5125, 568, 6140, 8200, 593, 3859, 1648, 267, 621, 729, 4080, 602, 972, 941, 1100, 2042, 543, 3388, 729, 4881, 1134, 607, 952, 4986, 5949, 269, 634, 24256, 7018, 693, 476, 1015, 281, 5655, 600, 12670, 942, 267, 3592, 606, 5662, 1310, 519, 1184, 3323, 267, 543, 8694, 16172, 1310, 476, 1321, 12158, 269, 634, 1858, 1141, 1004, 1223, 1205, 519, 1655, 2070, 540, 519, 24256, 729, 538, 519, 2829, 540, 10910, 514, 14657, 6261, 531, 520, 3729, 267, 3345, 10910, 710, 8862, 652, 13921, 807, 543, 13722, 29017, 3415, 269, 1717, 267, 1004, 538, 824, 4436, 2829, 1185, 606, 4316, 547, 1294, 519, 7599, 3382, 476, 3583, 268, 4037, 260, 540, 519, 3141, 563, 1607, 3769, 519, 2749, 540, 8210, 31060, 538, 3844, 774, 1005, 807, 267, 1141, 519, 7599, 4988, 909, 547, 476, 4037, 260, 540, 519, 3141, 267, 1818, 621, 18613, 593, 519, 835, 1688, 267, 519, 7599, 693, 1101, 10116, 7154, 267, 855, 593, 519, 824, 1688, 513, 2407, 7599, 269, 769, 824, 1913, 267, 972, 729, 519, 6505, 652, 1101, 10116, 593, 2594, 267, 952, 835, 5654, 693, 621, 689, 606, 31485, 779, 1448, 540, 2070, 269, 634, 2312, 4365, 1500, 621, 2352, 547, 6718, 7463, 23475, 28904, 267, 799, 596, 666, 5957, 547, 1413, 909, 547, 519, 3141, 693, 519, 942, 540, 519, 24256, 267, 585, 1082, 3075, 8637, 267, 14278, 1235, 267, 14296, 4308, 619, 4721, 543, 1904, 2210, 28748, 10443, 856, 540, 6006, 909, 547, 1079, 2395, 1991, 547, 519, 2680, 269, 901, 729, 519, 3169, 6587, 540, 519, 2063, 9864, 3859, 24256, 602, 7018, 538, 476, 1220, 276, 269, 1703, 267, 24925, 4365, 12042, 1229, 1022, 8458, 540, 13156, 713, 4686, 2680, 267, 3976, 21177, 6455, 585, 891, 3750, 2149, 832, 13497, 563, 4407, 594, 729, 8572, 547, 6718, 713, 6292, 540, 23475, 28904, 267, 594, 1705, 1265, 835, 547, 946, 609, 606, 1904, 2210, 2077, 267, 4171, 6300, 729, 4092, 693, 8210, 31060, 779, 2749, 4099, 267, 4911, 518, 268, 4092, 1063, 2749, 10689, 543, 519, 5721, 6728, 269, 4014, 519, 6292, 729, 585, 23831, 543, 4687, 5301, 267, 594, 3576, 519, 4316, 547, 5957, 873, 267, 1247, 693, 519, 1482, 942, 267, 3382, 519, 7828, 540, 519, 19999, 1314, 8254, 594, 1185, 538, 1250, 15896, 538, 606, 3801, 547, 1205, 513, 2673, 5346, 1413, 693, 519, 24256, 269, 28611, 596, 616, 711, 9277, 547, 1205, 513, 1463, 8929, 693, 519, 24256, 585, 1079, 4128, 912, 268, 634, 8666, 1131, 2490, 856, 519, 1482, 607, 621 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 900, 7120, 2962, 267, 4611, 538, 1018, 681, 269, 1325, 614, 19038, 569, 7125, 968, 4532, 760, 1304, 1936, 18356, 892, 630, 9209, 540, 19978, 17826, 267, 476, 2767, 1700, 8618, 1916, 263, 10019, 4700, 595, 1638, 518, 267, 968, 3963, 10370, 878, 286, 2223, 476, 13078, 282, 32647, 269, 2349, 2084, 267, 10370, 878, 17826, 267, 476, 273, 1700, 274, 269, 901, 568, 547, 1445, 519, 1893, 1570, 540, 519, 11430, 878, 3544, 540, 513, 7156, 540, 2322, 894, 970, 1537, 3907, 2065, 7418, 1500, 538, 2773, 630, 324, 3052, 1421, 17267, 1040, 630, 335, 269, 275, 3451, 994, 263, 5952, 4700, 28214, 543, 4813, 267, 476, 28796, 282, 32647, 269, 9652, 267, 22830, 540, 10370, 878, 267, 476, 2537, 282, 681, 269, 623, 269, 19537, 704, 267, 10370, 878, 3004, 3022, 344, 630, 6124, 3840, 281, 853, 269, 9410, 779, 267, 476, 2735, 276, 1070, 476, 275, 1700, 276, 282, 2349, 2084, 267, 10370, 878, 17826, 267, 476, 4097, 269, 700, 9734, 267, 540, 1576, 267, 814, 2413, 11430, 878, 21246, 958, 538, 2247, 267, 4171, 759, 584, 806, 616, 3592, 28025, 11913, 1765, 1782, 340, 2065, 269, 10370, 878, 538, 621, 705, 13092, 1533, 607, 5711, 1148, 1223, 2721, 593, 26068, 2200, 607, 1134, 12544, 530, 1074, 610, 12162, 267, 513, 26378, 3723, 267, 7574, 9311, 2939, 28559, 865, 267, 1932, 267, 1223, 5711, 12473, 267, 543, 3976, 519, 3604, 538, 519, 17293, 540, 11913, 2200, 3788, 563, 263, 10436, 4700, 589, 7313, 564, 779, 6651, 547, 17826, 630, 2419, 8522, 281, 2160, 540, 9628, 4964, 267, 476, 1960, 280, 1070, 476, 16318, 563, 263, 9262, 4700, 15196, 323, 267, 4208, 10370, 7879, 7831, 267, 669, 269, 476, 272, 282, 808, 269, 595, 1638, 518, 267, 968, 299, 344, 878, 267, 3778, 267, 543, 2637, 516, 2223, 1715, 16520, 3778, 476, 2412, 270, 275, 630, 1220, 280, 1070, 476, 8660, 277, 563, 263, 6434, 4700, 22845, 540, 29576, 267, 476, 22550, 282, 13153, 8065, 6199, 630, 299, 344, 878, 25024, 267, 476, 866, 264, 14753, 540, 968, 577, 1301, 3034, 263, 8660, 4700, 22845, 540, 29576, 267, 476, 27244, 282, 32647, 269, 595, 1638, 518, 267, 16520, 7869, 267, 476, 10619, 563, 263, 3445, 4700, 594, 269, 631, 269, 16629, 534, 578, 545, 345, 267, 3474, 517, 5557, 807, 538, 519, 6196, 11620, 630, 289, 10667, 267, 476, 6245, 275, 5148, 661, 269, 918, 7238, 333, 580, 267, 853, 559, 626, 1731, 267, 31898, 528, 1731, 267, 7313, 564, 1731, 630, 8867, 760, 345, 580, 267, 476, 5002, 271, 5148, 589, 269, 12670, 267, 968, 300, 582, 604, 543, 27065, 538, 19978, 17826, 2223, 19577, 3667, 338, 476, 274, 630, 2735, 274, 264, 476, 23211, 1700, 6078, 282, 661, 269, 5682, 7322, 267, 968, 17504, 2452, 267, 12355, 2223, 538, 9474, 291, 17886, 267, 476, 280, 6924, 1700, 6507, 282, 667, 269, 24162, 6199, 267, 2578, 686, 7065, 531, 543, 2578, 22989, 531, 23113, 538, 12355, 17826, 630, 306, 13993, 5960, 282, 24611, 281, 18623, 4964, 267, 476, 2735, 280, 1916, 263, 11011, 4700, 6423, 674, 269, 654, 269, 667, 984, 2125, 5025, 961, 338, 31463, 267, 700, 3512, 725, 630, 296, 6195, 282, 8402, 6807, 281, 31689, 3627, 12928, 2135, 267, 476, 1220, 273, 1916, 263, 10844, 4700, 634, 2101, 3017, 1063, 476, 30909, 2089, 340, 30910, 383, 362, 332, 968, 1729, 581, 556, 1563, 892, 543, 512, 1952, 383, 375, 320, 30910, 968, 20625, 892, 568, 519, 3355, 13093, 30937, 267, 519, 5449, 4098, 609, 519, 900, 874, 1738, 22524, 1581, 3247, 543, 519, 8545, 609, 519, 642, 18757, 6804, 22524, 1581, 3247, 563, 263, 11152, 4700, 700, 3512, 725, 630, 5723, 476, 278, 288, 282, 476, 273, 323, 269, 2847, 269, 1196, 5919, 1715, 3840, 281, 8935, 16940, 599, 267, 476, 1960, 273, 1070, 476, 9262, 563, 263, 11463, 4700, 968, 763, 31898, 7595, 540, 700, 3512, 725, 543, 519, 23830, 540, 9697, 770, 23393, 2223, 19577, 3667, 338, 476, 273, 270, 272, 630, 2735, 273, 1070, 476, 275, 282, 15049, 3316, 281, 13786, 525, 547, 9697, 770, 23393, 538, 12355, 9085, 630, 6124, 3840, 281, 12052, 2160, 4964, 267, 476, 2735, 275, 1070, 476, 1839, 563, 263, 4817, 4700, 769, 811, 1469, 267, 1294, 674, 269, 654, 269, 667, 984, 2125, 5025, 961, 338, 31463, 543, 570, 269, 700, 2088, 325, 3881, 267, 968, 763, 681, 1901, 540, 27098, 538, 19681, 476, 272, 281, 1015, 2223, 2098, 288, 310, 476, 13647, 270, 272, 630, 1220, 272, 1070, 476, 6507, 1700, 10037, 563, 263, 9834, 4700, 595, 325, 269, 595, 1638, 518, 267, 16520, 7869, 267, 476, 8064, 1700, 10037, 563, 263, 9032, 4700, 7335, 585, 519, 18140, 630, 23173, 8822, 267, 7136, 12727, 12370, 2160, 4964, 267, 476, 2735, 275, 1070, 476, 276, 282, 32647, 269, 5682, 324, 267, 5403, 6261, 564, 337, 1105, 1143, 267, 476, 5392, 563, 263, 7176, 4700, 25360, 332, 476, 3393, 281, 273, 568, 835, 540, 519, 4686, 8320, 538, 799, 513, 13400, 10564, 2982, 930, 6857, 4656, 540, 4739, 269, 3371, 519, 10564, 4776, 2167, 519, 6648, 609, 513, 3948, 827, 875, 1010, 2247, 568, 31523, 609, 513, 968, 16591, 2262, 892, 630, 323, 5953, 321, 5953, 337, 512, 20110, 321, 264, 543, 602, 646, 605, 8010, 338, 547, 270, 1721, 519, 4622, 968, 3240, 960, 892, 630, 2742, 390, 379, 26324, 23410, 599, 1040, 634, 8545, 3091, 513, 11315, 6697, 547, 519, 5259, 10206, 540, 1093, 525, 344, 563, 263, 4200, 4700, 1703, 616, 14026, 267, 607, 1134, 267, 950, 519, 21050, 1670, 5860, 593, 4159, 568, 811, 982, 23060, 267, 607, 538, 25360, 332, 476, 280, 281, 273, 1700, 274, 267, 1141, 519, 6679, 513, 548, 874, 588, 24521, 849, 17543, 782, 3438, 919, 519, 8937, 339, 1116, 3280, 540, 519, 513, 548, 874, 538, 519, 5311, 540, 2947, 13450, 281, 30379, 378, 20110, 323, 5889, 267, 30379, 378, 26324, 338, 1952, 384, 499, 337, 5889, 267, 30379, 378, 324, 23410, 332, 384, 499, 30910, 5889, 267, 530, 384, 499, 390, 378, 324, 390, 379, 601, 23973, 5889, 267, 30379, 378, 26324, 345, 2459, 384, 499, 337, 5889, 630, 22396, 269, 476, 23973, 20110, 323, 476, 23973, 5953, 323, 383, 375, 333, 383, 362, 25697, 23973, 23973, 2089, 20110, 337, 538, 519, 476, 23973, 1228, 588, 24521, 538, 19681, 476, 274, 281, 7367, 1916, 263, 1911, 4700, 1306, 11992, 538, 519, 25360, 916, 267, 621, 568, 711, 2653, 547, 20559, 2436, 713, 538, 1816, 1470, 568, 5888, 531, 610, 21107, 269, 630, 335, 269, 275, 4097, 994, 263, 6200, 4700, 1280, 713, 10206, 540, 6671, 1106, 267, 1294, 17611, 269, 918, 269, 8738, 651, 267, 22388, 268, 13750, 618, 630, 273, 323, 1196, 5919, 9628, 281, 27925, 7734, 267, 476, 4198, 274, 1070, 476, 14695, 563, 263, 9083, 4700, 661, 3052, 1421, 16019, 267, 1358, 595, 3072, 547, 519, 28789, 267, 476, 13078, 1700, 277, 563, 263, 9818, 4700, 589, 1129, 540, 713, 1106, 779, 15007, 1275, 630, 2288, 711, 10502, 968, 553, 1106, 14615, 568, 519, 4908, 609, 799, 621, 568, 20926, 630, 514, 851, 610, 2898, 264, 538, 2663, 13400, 15885, 630, 324, 3052, 1421, 7603, 476, 3451, 281, 1556, 282, 26442, 571, 476, 274, 281, 1556, 282, 3026, 327, 476, 280, 281, 276, 282, 476, 273, 20048, 476, 278, 281, 274, 267, 476, 277, 282, 476, 736, 281, 2641, 1040, 5047, 267, 513, 8903, 2013, 666, 581, 1500, 602, 519, 16763, 534, 10564, 3096, 519, 2203, 1728, 19282, 540, 17192, 630, 2288, 5033, 656, 1227, 30141, 264, 547, 3337, 519, 6679, 588, 24521, 540, 519, 31169, 540, 16763, 779, 1554, 540, 4332, 630, 274, 281, 274, 1700, 1015, 282, 606, 3355, 795, 1380, 633, 267, 968, 2280, 621, 829, 880, 2223, 4553, 1310, 1454, 11840, 566, 676, 513, 14656, 737, 383, 362, 16083, 1070, 799, 952, 2953, 2982, 519, 1728, 19282, 779, 4644, 968, 553, 1106, 892, 630, 1721, 930, 3877, 267, 595, 269, 700, 269, 1530, 578, 267, 16763, 476, 272, 1700, 2641, 1496, 26877, 636, 5209, 282, 9835, 14943, 1749, 267, 5760, 12727, 661, 518, 323, 332, 753, 267, 476, 1001, 274, 3910, 476, 25628, 267, 476, 25834, 1700, 2420, 1916, 263, 10441, 4700, 634, 10839, 568, 3144, 689, 968, 4537, 6832, 779, 7225, 8540, 26321, 547, 3571, 2637, 3780, 2223, 538, 29120, 17826, 543, 1160, 572, 540, 15656, 13177, 2051, 518, 3805, 630, 539, 269, 667, 269, 589, 269, 853, 879, 742, 518, 282, 1715, 3840, 281, 15932, 5600, 267, 476, 4198, 272, 1070, 476, 28242, 1700, 3451, 267, 607, 11855, 538, 595, 269, 744, 269, 19134, 2006, 267, 5131, 7638, 572, 281, 1323, 4828, 593, 18370, 1328, 630, 292, 7079, 8725, 267, 7629, 12727, 3345, 13523, 2160, 4964, 267, 476, 2735, 271, 1070, 476, 10844, 543, 17611, 269, 476, 8146, 267, 562, 269, 476, 275, 563, 263, 10755, 4700, 6423, 8055, 630, 22437, 2045, 1849, 3837, 267, 476, 4343, 264, 585, 519, 2856, 602, 968, 516, 7065, 819, 568, 519, 4909, 7613, 540, 19621, 1106, 3034, 263, 11793, 4700, 4880, 339, 331, 4967, 602, 968, 821, 540, 519, 1655, 1634, 543, 1034, 4922, 6444, 4162, 540, 18642, 2575, 892, 568, 968, 1080, 4749, 12623, 20470, 543, 12150, 2497, 892, 630, 24523, 538, 10021, 1438, 9177, 267, 476, 7830, 1916, 263, 13040, 4700, 7313, 2045, 1849, 3837, 267, 476, 1015, 267, 476, 1321, 267, 476, 1724, 563, 263, 10482, 4700, 9282, 588, 24521, 545, 1106, 538, 1558, 3740, 14235, 5389, 616, 22991, 2404, 609, 22565, 14565, 267, 1558, 3740, 10148, 267, 1899, 12523, 267, 543, 519, 899, 267, 607, 631, 269, 20182, 19595, 721, 267, 519, 2165, 3294, 1374, 919, 968, 320, 1895, 540, 3515, 538, 513, 6648, 892, 543, 968, 529, 1031, 547, 5815, 519, 15523, 540, 513, 6648, 2223, 855, 3564, 713, 968, 11004, 568, 1100, 2417, 3169, 4214, 892, 543, 968, 11004, 616, 1100, 11613, 1318, 610, 4636, 2081, 547, 7941, 513, 6648, 883, 588, 11961, 553, 892, 630, 288, 17826, 18361, 1496, 6124, 3840, 281, 670, 2117, 22620, 4858, 576, 267, 476, 1960, 275, 3910, 476, 2568, 1700, 8618, 1040, 2701, 5170, 676, 11021, 11652, 713, 4667, 2523, 19038, 585, 1863, 14235, 10564, 1845, 20196, 968, 527, 949, 581, 3730, 267, 950, 6236, 519, 588, 24521, 267, 547, 11291, 519, 5037, 538, 18340, 267, 799, 6920, 519, 3932, 540, 835, 2219, 543, 519, 4098, 540, 1776, 267, 513, 24534, 6498, 892, 543, 602, 519, 968, 338, 839, 1043, 5037, 892, 581, 2219, 540, 968, 553, 513, 2186, 540, 2343, 2560, 689, 799, 547, 1745, 856, 519, 1880, 15523, 602, 616, 1655, 585, 513, 1880, 6648, 892, 630, 8618, 1916, 263, 11820, 4700, 6423, 3751, 543, 853, 4526, 267, 5020, 538, 19978, 5840, 267, 7629, 269, 476, 1626, 563, 263, 8099, 4700, 21894, 835, 2306, 540, 519, 5888, 531, 2553, 593, 4159, 538, 713, 6648, 12544, 711, 528, 13124, 2352, 2339, 547, 20559, 1510, 519, 2963, 540, 8763, 6085, 9789, 6648, 3294, 13793, 338, 1927, 607, 513, 2898, 269, 634, 3901, 1227, 267, 642, 341, 269, 476, 1321, 543, 476, 1428, 1404, 1883, 5107, 538, 796, 4328, 519, 1079, 2694, 269, 7638, 572, 476, 1321, 2306, 8763, 543, 17697, 4296, 609, 519, 1292, 535, 1539, 540, 519, 6648, 1765, 333, 1155, 543, 22560, 269, 715, 714, 327, 5953, 337, 281, 715, 11965, 309, 267, 585, 1383, 267, 17953, 525, 607, 968, 529, 2560, 19230, 2223, 1526, 745, 532, 607, 513, 715, 13023, 531, 3487, 20444, 20734, 1990, 15590, 4083, 630, 335, 269, 31973, 264, 968, 1729, 581, 19230, 2223, 799, 2016, 519, 2796, 540, 519, 2034, 851, 540, 519, 6648, 2306, 2631, 267, 607, 621, 568, 10502, 22560, 602, 10274, 519, 533, 15680, 332, 626, 538, 1010, 610, 1200, 1272, 269, 1656, 2943, 267, 3541, 1516, 689, 1990, 15590, 594, 968, 1729, 19542, 892, 849, 2306, 1434, 2631, 267, 607, 713, 3597, 568, 1031, 12799, 538, 519, 6426, 630, 324, 3052, 1421, 8355, 476, 1321, 281, 274, 264, 543, 11992, 540, 519, 3141, 26124, 256, 634, 8545, 2631, 568, 2523, 4143, 607, 536, 5953, 1335, 2501, 693, 519, 1439, 540, 519, 1899, 267, 18005, 1765, 2288, 711, 5033, 656, 1227, 267, 607, 1114, 24970, 1027, 757, 616, 3238, 1765, 4812, 532, 1394, 547, 536, 5953, 1335, 538, 642, 269, 476, 276, 322, 269, 634, 3159, 540, 968, 650, 636, 1588, 267, 7487, 267, 26124, 892, 849, 13352, 1134, 519, 740, 1681, 3159, 540, 519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 19341, 4568, 1382, 563, 8469, 21778, 267, 17136, 476, 8660, 267, 19341, 267, 19844, 267, 4598, 267, 17565, 267, 11517, 267, 1646, 267, 29015, 267, 1768, 520, 8328, 267, 3662, 267, 10856, 267, 2203, 454, 29753, 11671, 574, 1645, 26263, 8040, 540, 519, 4347, 5435, 25042, 8416, 538, 17971, 281, 23889, 519, 10163, 532, 3557, 267, 11554, 15350, 267, 543, 23305, 4045, 2032, 454, 9743, 4801, 281, 1325, 13630, 6481, 3427, 267, 9466, 2160, 267, 2160, 540, 11908, 563, 4467, 921, 29232, 7293, 543, 6198, 5778, 574, 1645, 2553, 1031, 547, 4983, 519, 4347, 5435, 25042, 8416, 630, 19699, 301, 264, 1223, 5732, 2087, 10526, 540, 17867, 4576, 10335, 543, 1683, 3773, 14496, 547, 519, 4791, 10368, 1184, 269, 10765, 5778, 574, 1645, 1382, 5267, 602, 20336, 301, 3157, 949, 581, 22314, 538, 513, 1297, 540, 2566, 5829, 17867, 10108, 267, 971, 607, 2022, 10177, 9964, 2566, 4524, 630, 303, 15056, 1916, 7212, 1808, 20336, 301, 3252, 2611, 896, 7634, 267, 621, 568, 3622, 2219, 547, 581, 3238, 538, 26126, 543, 1582, 3491, 22422, 269, 769, 2635, 2043, 621, 15225, 6574, 2534, 1282, 5712, 540, 1964, 267, 609, 1447, 2534, 267, 4767, 607, 632, 716, 10474, 267, 1282, 5042, 4247, 267, 552, 3052, 563, 267, 2324, 3965, 269, 901, 3060, 5161, 540, 519, 31443, 4776, 30613, 16794, 267, 17911, 524, 532, 3634, 16794, 270, 2181, 322, 2317, 639, 267, 14694, 533, 926, 13926, 9729, 1182, 543, 31443, 13796, 4525, 563, 21296, 6198, 543, 7293, 9196, 4485, 723, 1044, 2919, 547, 1353, 519, 20336, 301, 269, 1452, 723, 13778, 1761, 547, 2417, 519, 1620, 540, 519, 1599, 543, 14524, 540, 713, 3060, 269, 23398, 4485, 267, 971, 607, 519, 6268, 540, 16889, 1533, 14479, 543, 4305, 14001, 632, 716, 10474, 267, 723, 5140, 1761, 547, 2697, 6098, 5778, 322, 4321, 543, 5778, 320, 8997, 630, 10818, 531, 264, 10368, 12508, 543, 949, 5815, 4576, 10335, 543, 23567, 609, 2799, 6111, 610, 23506, 269, 23305, 4485, 267, 971, 607, 6268, 540, 10641, 5852, 543, 14479, 267, 949, 1683, 2189, 12508, 540, 1696, 5735, 543, 1279, 3856, 4093, 269, 10395, 1441, 267, 6198, 543, 7293, 2409, 1683, 2178, 1617, 574, 27567, 267, 14911, 543, 5348, 1120, 2065, 4485, 547, 1020, 4570, 20336, 301, 2861, 9196, 4307, 8040, 538, 2566, 5829, 17867, 2175, 269, 901, 7014, 6663, 547, 11753, 891, 2409, 547, 8495, 20336, 301, 2497, 543, 1599, 538, 17971, 267, 11341, 4681, 547, 4576, 10335, 543, 4143, 4791, 2188, 563, 8469, 21778, 267, 17136, 476, 8660, 267, 9949, 7154, 3060, 267, 5778, 574, 1645, 267, 6198, 6419, 16982, 9196, 267, 18236, 21723, 9196, 267, 7293, 14479, 267, 6198, 14479, 267, 2022, 10177, 9964, 2566, 4524, 454, 293, 23341, 3955, 5766, 566, 540, 16989, 14523, 1054, 15401, 545, 11671, 2102, 8412, 609, 674, 5914, 7101, 8344, 769, 22128, 454, 9743, 4801, 281, 4993, 4659, 540, 5303, 267, 8592, 22846, 2160, 3427, 540, 6925, 267, 8592, 22846, 2160, 3427, 540, 6925, 267, 2160, 2986, 6115, 6481, 4741, 267, 8592, 22846, 2160, 3427, 540, 6925, 563, 763, 6198, 18572, 540, 2937, 23899, 11409, 3788, 513, 1713, 4161, 269, 22604, 547, 21391, 2937, 5778, 2102, 8412, 3842, 12362, 10194, 6765, 610, 1098, 28193, 2831, 723, 1761, 1476, 2432, 602, 1118, 7664, 540, 2164, 689, 891, 2090, 2352, 269, 1715, 2234, 8344, 2645, 616, 6932, 267, 2705, 267, 602, 1450, 835, 547, 1875, 514, 11663, 1947, 8495, 519, 1599, 540, 2824, 2516, 540, 2937, 23899, 11409, 998, 4977, 543, 5730, 26715, 13389, 538, 1507, 2831, 269, 674, 5914, 9357, 1944, 5982, 29620, 519, 4332, 543, 15285, 540, 1007, 11409, 267, 543, 2636, 13389, 540, 1808, 8849, 28738, 3218, 4525, 269, 769, 1931, 547, 22113, 519, 1761, 6198, 1909, 602, 2937, 20968, 15401, 545, 5778, 2102, 8412, 4249, 538, 519, 7939, 540, 12214, 3157, 267, 649, 2919, 513, 1875, 514, 15230, 17122, 23735, 2747, 4480, 547, 28729, 21391, 519, 4332, 540, 2937, 23899, 11409, 538, 519, 20968, 15401, 545, 11667, 900, 29561, 269, 1284, 4766, 513, 1505, 585, 595, 454, 558, 13459, 29821, 28621, 3660, 535, 454, 2784, 2747, 630, 20003, 7644, 264, 6765, 547, 5512, 5730, 543, 4977, 26715, 13389, 538, 1507, 2831, 269, 18435, 7644, 3096, 1614, 8820, 2019, 636, 13011, 3239, 5583, 585, 31338, 543, 13389, 540, 519, 5982, 9570, 267, 24024, 5982, 4598, 547, 1875, 339, 1173, 9643, 2634, 4525, 267, 543, 2636, 585, 14883, 531, 9570, 3892, 609, 8325, 11237, 6302, 269, 901, 7014, 2636, 835, 547, 2307, 2055, 3823, 519, 1599, 540, 2937, 23899, 11409, 267, 855, 849, 10741, 2127, 547, 2055, 538, 2127, 540, 10237, 984, 5735, 267, 10510, 7350, 267, 543, 6375, 1108, 269, 1452, 2234, 8344, 2645, 786, 7520, 519, 8144, 540, 8906, 693, 519, 14541, 547, 519, 5127, 2515, 563, 32507, 14396, 267, 17136, 476, 10037, 267, 22532, 25745, 19204, 630, 10064, 12336, 1070, 10610, 13379, 267, 7101, 23956, 267, 12005, 8566, 340, 3660, 267, 5450, 29440, 267, 6052, 5450, 29440, 267, 11671, 2102, 8412, 267, 8426, 1160, 331, 604, 3130, 267, 11671, 338, 31190, 267, 7054, 2784, 2747, 267, 7101, 8344, 2126, 267, 8950, 2389, 558, 2762, 630, 6311, 264, 9196, 267, 14523, 1054, 31726, 267, 14523, 1054, 15401, 545, 1160, 331, 11717, 894, 18630, 630, 27426, 313, 1070, 2405, 1014, 661, 2381, 775, 630, 10933, 1070, 9540, 10960, 24658, 3194, 25957, 630, 306, 2752, 14641, 994, 9199, 576, 21824, 16448, 532, 538, 631, 823, 454, 9743, 4801, 281, 7345, 3271, 2160, 267, 7345, 3271, 2160, 563, 1103, 713, 4603, 649, 1459, 513, 4480, 547, 2268, 1565, 543, 3965, 269, 769, 519, 10250, 4250, 14555, 7014, 4843, 1934, 972, 616, 2947, 6292, 902, 1063, 513, 9243, 17003, 543, 606, 14955, 1288, 539, 17003, 269, 1703, 568, 513, 476, 736, 3813, 10250, 1974, 602, 24508, 1142, 14555, 4693, 269, 2201, 519, 1739, 1554, 16171, 568, 6027, 1282, 6881, 540, 519, 31411, 17003, 630, 5425, 264, 543, 10250, 1974, 269, 2201, 519, 3791, 1554, 972, 568, 606, 476, 279, 1295, 1449, 547, 2268, 13865, 3965, 269, 634, 11347, 2164, 616, 689, 8983, 602, 941, 4843, 609, 519, 513, 951, 633, 14955, 1288, 539, 17003, 630, 3333, 1442, 264, 3379, 547, 8983, 602, 4607, 519, 3159, 14245, 1510, 519, 14955, 1288, 539, 17003, 269, 29895, 4250, 14555, 814, 1044, 6707, 1031, 547, 3713, 11029, 1565, 543, 3965, 22907, 543, 3986, 906, 538, 8983, 602, 616, 711, 1336, 609, 824, 4250, 14555, 2409, 269, 901, 1826, 540, 4250, 14555, 568, 5156, 547, 581, 8200, 2390, 4296, 1063, 519, 31443, 4776, 30613, 16794, 543, 519, 28481, 25283, 269, 2290, 1699, 15784, 568, 2436, 713, 1505, 568, 5156, 547, 581, 993, 17789, 323, 8403, 23949, 8817, 269, 4475, 267, 824, 4250, 14555, 4152, 568, 2877, 547, 4983, 993, 17789, 323, 8403, 17466, 1565, 543, 3965, 2360, 267, 971, 607, 998, 519, 8488, 4250, 14555, 563, 6826, 8326, 267, 17136, 476, 5952, 267, 4250, 14555, 267, 1565, 267, 10250, 14555, 267, 3965, 267, 31411, 543, 14955, 1288, 539, 17003, 267, 9243, 17003, 267, 993, 17789, 323, 8403, 17466, 1565, 454, 9556, 9934, 22532, 21210, 6178, 2718, 540, 9210, 529, 21288, 543, 18127, 20353, 9627, 4635, 1975, 15105, 12870, 769, 23554, 549, 454, 9743, 4801, 281, 634, 2160, 540, 9628, 6481, 4741, 267, 634, 2160, 540, 9628, 6481, 4741, 563, 300, 580, 9627, 543, 922, 7004, 547, 5312, 26043, 616, 3782, 24675, 538, 991, 540, 4824, 2126, 3681, 269, 1284, 3343, 547, 5581, 875, 8849, 4761, 15202, 1110, 12885, 519, 18687, 547, 26043, 267, 24018, 538, 20117, 454, 6748, 10825, 4965, 630, 16256, 1070, 607, 513, 1797, 547, 1020, 3209, 9354, 9072, 585, 8398, 21288, 543, 5312, 26043, 269, 12676, 568, 519, 2693, 2014, 540, 26043, 513, 3120, 543, 26043, 1928, 269, 898, 568, 513, 1612, 2135, 903, 7356, 2530, 540, 27090, 1599, 15427, 676, 7620, 2799, 27090, 2534, 267, 799, 7444, 9070, 919, 1369, 11630, 2634, 4525, 269, 16453, 2634, 1599, 568, 25039, 529, 7019, 6213, 547, 267, 543, 12346, 593, 267, 14626, 1211, 1970, 7400, 4761, 15202, 269, 4935, 267, 8849, 4761, 15202, 2693, 5540, 5122, 2534, 540, 12676, 267, 543, 4061, 26043, 269, 10266, 8226, 2090, 540, 12676, 538, 2898, 2831, 616, 9808, 9853, 609, 7965, 267, 855, 2898, 2831, 616, 1134, 14018, 547, 4983, 1949, 7350, 3344, 540, 26043, 2094, 12676, 31591, 4645, 655, 1400, 562, 665, 823, 696, 633, 11444, 269, 1717, 267, 2898, 3662, 2090, 4805, 3112, 581, 1031, 547, 21264, 519, 10408, 543, 8849, 5547, 6127, 540, 12676, 269, 5502, 267, 538, 20117, 454, 2181, 1706, 725, 1141, 2825, 2175, 666, 581, 6417, 616, 2556, 269, 3371, 267, 621, 568, 1271, 547, 5431, 7687, 540, 8650, 21100, 543, 3982, 5383, 540, 28481, 2086, 531, 20105, 4529, 269, 26590, 2634, 21100, 3112, 7866, 11029, 2242, 538, 4761, 15202, 2094, 8600, 519, 21100, 4805, 12153, 281, 605, 13611, 2242, 602, 2063, 2395, 267, 3134, 850, 696, 6134, 2623, 1813, 547, 1164, 2157, 540, 5135, 8082, 2877, 547, 4105, 1125, 519, 21100, 267, 543, 26464, 1591, 5945, 693, 606, 16464, 20105, 7740, 563, 1103, 4334, 267, 649, 4983, 4761, 15202, 538, 9921, 28481, 2086, 531, 20105, 4529, 2094, 519, 4529, 5702, 6252, 741, 538, 24155, 454, 322, 3300, 4820, 609, 9921, 959, 529, 2106, 25443, 1599, 282, 1397, 844, 625, 1417, 4230, 24945, 5052, 267, 2890, 6921, 807, 267, 543, 22270, 710, 2157, 282, 543, 12676, 568, 3362, 13251, 538, 606, 796, 534, 652, 2867, 1242, 7041, 269, 5015, 267, 519, 21100, 616, 1279, 24331, 543, 12676, 666, 581, 13251, 593, 15654, 2395, 1510, 5945, 267, 1818, 713, 7041, 519, 6852, 1797, 547, 15082, 5827, 540, 9781, 519, 5778, 14545, 4539, 540, 5312, 12676, 267, 543, 3976, 5310, 5312, 26043, 269, 1284, 946, 32661, 903, 8344, 2553, 543, 1875, 29554, 9196, 547, 2268, 454, 928, 584, 4689, 1591, 543, 5547, 3252, 14626, 1211, 609, 12676, 269, 22532, 4761, 5444, 4082, 4632, 616, 6027, 609, 7117, 303, 10135, 9584, 267, 7117, 303, 10135, 14249, 267, 543, 267, 11932, 267, 946, 540, 524, 19091, 840, 600, 680, 2305, 585, 7020, 540, 16600, 268, 869, 1377, 9072, 971, 607, 31785, 517, 3766, 10397, 1210, 2898, 267, 6237, 267, 610, 1808, 1591, 8476, 630, 16129, 8955, 771, 7611, 22794, 264, 10386, 269, 7261, 339, 758, 710, 22107, 1228, 15202, 568, 2417, 12290, 609, 2789, 343, 539, 8485, 29952, 1644, 9072, 609, 5444, 4082, 543, 8485, 29952, 2242, 9672, 3842, 1591, 10391, 6375, 739, 8724, 269, 24103, 1670, 543, 23313, 11748, 2994, 616, 1031, 547, 17932, 454, 16256, 4761, 15202, 563, 32507, 14396, 267, 17136, 476, 7367, 267, 17916, 12046, 267, 5592, 8412, 267, 2890, 6921, 807, 267, 570, 16052, 338, 267, 28481, 25283, 267, 20105, 2528, 267, 5444, 4082, 267, 8955, 771, 7611, 22794, 267, 1483, 6066, 7117, 303, 10135, 267, 31785, 517, 3766, 10397, 454, 32325, 585, 519, 3525, 1637, 543, 5811, 540, 29458, 268, 24681, 289, 17466, 16989, 11671, 2102, 8412, 454, 9743, 4801, 281, 2160, 540, 645, 773, 548, 26709, 267, 2160, 540, 645, 773, 548, 26709, 563, 763, 28481, 25283, 4249, 513, 11358, 1909, 538, 519, 5250, 543, 28051, 540, 8398, 21288, 8823, 267, 543, 538, 8901, 10066, 269, 25214, 267, 519, 2937, 28481, 25283, 814, 1044, 9763, 607, 513, 1360, 11979, 26715, 3148, 540, 519, 27899, 2634, 269, 1717, 267, 2487, 4681, 723, 7152, 602, 519, 7202, 622, 14934, 6350, 540, 519, 28481, 25283, 568, 606, 1858, 540, 16854, 29010, 538, 4079, 267, 5473, 711, 1152, 12381, 540, 4540, 27090, 11387, 267, 855, 849, 2937, 5778, 2102, 8412, 269, 901, 29010, 568, 14931, 676, 1950, 13973, 1308, 5121, 267, 538, 799, 519, 16606, 3815, 29458, 268, 24681, 289, 4249, 513, 7986, 1909, 269, 1677, 1353, 543, 13861, 2937, 5778, 2102, 8412, 267, 513, 1098, 28193, 10856, 2203, 585, 2062, 28090, 10391, 27090, 22629, 540, 29458, 268, 24681, 289, 2534, 666, 581, 1031, 563, 1103, 713, 1353, 267, 2409, 616, 4330, 585, 519, 2079, 540, 29458, 268, 24681, 289, 17466, 5778, 2102, 8412, 267, 1519, 922, 7293, 3344, 267, 27090, 30091, 543, 28738, 3218, 18735, 267, 543, 5042, 4644, 267, 799, 729, 4481, 12290, 3842, 513, 7202, 622, 14934, 6350, 630, 291, 294, 9984, 323, 8817, 8965, 1449, 267, 519, 8901, 4806, 9668, 5174, 541, 5886, 28618, 630, 306, 4916, 5174, 300, 1040, 634, 590, 4916, 5174, 300, 7014, 1223, 581, 3274, 9862, 585, 946, 609, 824, 1098, 28193, 3662, 3631, 2966, 547, 2708, 519, 3310, 540, 1880, 6090, 593, 2937, 28481, 2086, 531, 5778, 2102, 8412, 269, 5015, 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 ]
[ 2694, 1522, 581, 17559, 865, 1810, 1405, 5855, 952, 596, 1745, 13943, 269, 901, 568, 1175, 547, 948, 721, 1174, 875, 1271, 621, 568, 547, 1832, 6000, 2922, 543, 5483, 780, 5970, 596, 2479, 4862, 540, 1945, 1572, 513, 834, 338, 518, 658, 20740, 22172, 589, 17626, 20740, 568, 2576, 945, 19754, 811, 982, 1614, 1004, 936, 513, 1974, 540, 942, 609, 9397, 1063, 1142, 11318, 269, 1452, 15294, 619, 1419, 4755, 1317, 540, 519, 20740, 781, 7287, 547, 723, 1379, 543, 1852, 936, 1866, 780, 4131, 781, 4952, 513, 9183, 1141, 1079, 2828, 3957, 19626, 543, 3967, 564, 6430, 547, 6108, 741, 1554, 1927, 693, 513, 2462, 10720, 11303, 676, 4190, 11614, 543, 7733, 269, 22582, 267, 789, 14897, 256, 4658, 1376, 3168, 585, 873, 10876, 910, 693, 1753, 267, 1153, 267, 543, 1256, 7404, 10506, 269, 1809, 972, 568, 1100, 1129, 540, 2901, 8004, 269, 2991, 1082, 2395, 540, 10478, 267, 3713, 1161, 2253, 547, 14353, 28067, 1404, 269, 674, 9567, 1404, 1797, 789, 1589, 1945, 3983, 814, 5949, 547, 891, 6690, 267, 7654, 5473, 1776, 1268, 780, 3086, 267, 1018, 798, 3713, 1161, 798, 1985, 286, 3689, 267, 789, 5531, 2963, 269, 15845, 666, 581, 4376, 602, 2337, 6961, 2436, 513, 6760, 7018, 610, 711, 269, 1280, 3236, 267, 789, 949, 1265, 9416, 21646, 267, 29066, 267, 4552, 11103, 267, 610, 4773, 540, 7802, 2451, 3297, 693, 519, 6429, 269, 23618, 1161, 1287, 5967, 22168, 1107, 1004, 945, 4718, 1945, 8966, 610, 19035, 1472, 519, 942, 540, 519, 10071, 269, 654, 5893, 525, 1683, 3407, 1344, 602, 666, 1291, 22602, 6251, 547, 4466, 519, 5168, 780, 9202, 2501, 519, 1184, 540, 16046, 2665, 1927, 269, 6884, 267, 17626, 20737, 4734, 10881, 8220, 1114, 10963, 269, 17291, 3270, 543, 10486, 1851, 1585, 13685, 666, 7866, 4296, 602, 1448, 547, 519, 1482, 10419, 15249, 630, 1492, 1268, 22867, 519, 6760, 1040, 769, 938, 1650, 267, 1577, 781, 2161, 519, 7128, 5469, 10486, 1063, 19626, 543, 3967, 564, 781, 14897, 766, 543, 1346, 540, 1896, 824, 7508, 7606, 269, 2353, 9601, 4682, 7508, 689, 12647, 1938, 1369, 6117, 3845, 540, 1142, 824, 269, 16393, 835, 1268, 581, 3743, 585, 782, 891, 10963, 2496, 2026, 3713, 1161, 2445, 811, 2963, 543, 1246, 5012, 267, 789, 1522, 1205, 4388, 689, 519, 1857, 1932, 269, 9669, 616, 5363, 11353, 540, 1344, 3177, 32380, 676, 8723, 4961, 269, 3683, 942, 267, 609, 2614, 4396, 6169, 543, 6325, 16499, 23888, 267, 519, 7128, 1223, 1628, 513, 2178, 2013, 1996, 513, 1880, 1367, 780, 4913, 267, 6061, 1950, 10963, 3217, 9639, 543, 18094, 269, 4634, 1498, 2029, 814, 1500, 3329, 894, 960, 4443, 2221, 267, 9477, 1524, 513, 524, 7342, 7803, 3884, 1405, 2141, 2656, 610, 2653, 269, 2334, 781, 1946, 621, 781, 2629, 585, 3025, 547, 3251, 21713, 543, 3222, 540, 741, 10450, 269, 5457, 267, 3106, 6238, 609, 6616, 1018, 547, 1413, 856, 585, 543, 8989, 1022, 7080, 545, 687, 5612, 780, 3528, 1620, 875, 10963, 616, 12193, 267, 649, 1831, 1732, 9280, 547, 2149, 6000, 543, 3565, 9797, 547, 938, 2950, 269, 1924, 2760, 30391, 519, 2956, 540, 1373, 2616, 656, 543, 3743, 4961, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3891, 5143, 22602, 602, 12228, 729, 1869, 9800, 950, 646, 32043, 11474, 715, 553, 331, 1495, 543, 835, 729, 7142, 547, 4585, 607, 646, 23689, 519, 824, 269, 898, 3323, 23900, 476, 3393, 1296, 3516, 269, 8409, 1079, 2021, 693, 8235, 590, 2459, 600, 880, 267, 585, 1383, 267, 941, 3144, 835, 1310, 519, 824, 547, 513, 6456, 5544, 909, 519, 4155, 689, 9129, 320, 638, 1695, 1765, 3286, 513, 1906, 3764, 689, 519, 6288, 543, 2282, 3955, 8063, 476, 3445, 563, 4002, 602, 3636, 267, 4832, 1554, 267, 7366, 540, 1004, 10356, 693, 519, 476, 24423, 23505, 8235, 590, 2459, 600, 880, 1533, 6288, 547, 2972, 519, 11824, 267, 1630, 908, 267, 610, 513, 17552, 5371, 269, 1879, 519, 3735, 20900, 25816, 323, 664, 3357, 547, 22208, 538, 476, 1001, 278, 267, 646, 849, 4280, 803, 827, 17626, 6146, 619, 269, 1403, 596, 1131, 899, 547, 1904, 856, 540, 11422, 7903, 711, 5874, 267, 5225, 3277, 547, 519, 1739, 5528, 1808, 547, 707, 3926, 543, 11422, 281, 18738, 5395, 658, 918, 14525, 23413, 25143, 344, 781, 20417, 540, 12653, 1457, 269, 1635, 2038, 5147, 267, 519, 774, 584, 8725, 6019, 15593, 858, 779, 8433, 1185, 18799, 513, 968, 295, 5669, 728, 543, 31932, 31080, 892, 10554, 5059, 593, 519, 7106, 8960, 2021, 585, 1876, 11268, 543, 2923, 269, 7827, 16532, 1411, 616, 6085, 532, 1210, 707, 5616, 2272, 563, 1432, 616, 530, 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, 7705, 281, 19850, 7585, 256, 594, 4862, 596, 941, 5461, 538, 1565, 827, 1114, 4529, 2496, 7692, 281, 23010, 267, 7705, 256, 594, 1589, 621, 779, 1271, 547, 1174, 543, 2463, 3025, 779, 10080, 269, 1684, 649, 723, 1022, 2835, 827, 2686, 2090, 1934, 2496, 8334, 281, 17610, 798, 256, 2913, 803, 1397, 596, 835, 593, 3979, 5525, 896, 4317, 3163, 269, 1809, 1354, 649, 4685, 883, 602, 1808, 1858, 267, 1577, 803, 2491, 1018, 2686, 2090, 1611, 269, 5620, 596, 2479, 9289, 1946, 1004, 8661, 1978, 14812, 610, 3548, 1880, 3536, 1256, 1498, 789, 1522, 2661, 2484, 2476, 689, 1141, 1346, 5389, 3323, 286, 2334, 7279, 5012, 721, 547, 1451, 811, 827, 1585, 4529, 2439, 7692, 281, 7937, 9493, 1695, 267, 1631, 602, 596, 5018, 621, 267, 1250, 7023, 22842, 1945, 1572, 918, 9774, 5633, 320, 1472, 8285, 942, 269, 1215, 2097, 2496, 8334, 281, 4270, 267, 918, 9774, 5633, 320, 2965, 6238, 593, 5412, 476, 2918, 628, 1169, 1032, 543, 16569, 2394, 5130, 476, 272, 560, 269, 898, 26549, 3979, 6561, 676, 6220, 3741, 971, 607, 9322, 267, 1582, 24148, 267, 7104, 5539, 267, 18756, 9297, 267, 3483, 267, 5876, 267, 543, 5132, 269, 4658, 5531, 609, 741, 3885, 543, 2828, 547, 1769, 22250, 8204, 1142, 6240, 1247, 4687, 2984, 543, 11981, 2757, 8286, 269, 1635, 3257, 865, 267, 2950, 7794, 7554, 1063, 5481, 543, 8190, 1686, 780, 7692, 281, 26272, 267, 602, 4992, 2731, 4277, 256, 1924, 267, 950, 2576, 6499, 547, 1353, 811, 827, 3979, 2528, 267, 1018, 1131, 789, 1224, 2496, 8334, 281, 1358, 1223, 2253, 3695, 3584, 1369, 3979, 5525, 899, 3332, 267, 2575, 267, 1148, 267, 1893, 267, 6138, 267, 4984, 267, 19795, 267, 543, 15257, 269, 1452, 5396, 948, 1628, 513, 3102, 4605, 540, 4000, 779, 3309, 7239, 2429, 1686, 543, 2221, 780, 7692, 281, 2052, 596, 2285, 803, 606, 1383, 540, 1945, 594, 666, 1265, 538, 513, 1433, 827, 3979, 5525, 2496, 8334, 281, 15742, 569, 256, 2290, 4241, 2460, 568, 875, 3504, 12977, 8329, 3648, 547, 6128, 267, 17651, 267, 6189, 267, 6683, 267, 4915, 267, 1603, 1949, 267, 2069, 267, 543, 10350, 1279, 1354, 3864, 3408, 3459, 269, 5527, 267, 715, 889, 807, 267, 16547, 636, 267, 19168, 267, 5689, 328, 267, 12312, 25131, 267, 4279, 25472, 267, 3933, 558, 582, 23981, 267, 23688, 23981, 267, 15158, 334, 267, 5484, 514, 267, 744, 14623, 267, 1306, 14397, 267, 667, 1695, 727, 344, 267, 543, 1082, 824, 25267, 4278, 1882, 2066, 519, 11782, 269, 3962, 1185, 922, 1378, 2189, 9821, 267, 4978, 267, 10781, 267, 2591, 267, 543, 7506, 593, 1158, 1646, 780, 7692, 281, 5808, 320, 267, 594, 4769, 1405, 917, 602, 256, 3767, 594, 6415, 8049, 827, 782, 519, 6909, 8631, 20338, 12913, 269, 7316, 1058, 594, 1376, 3168, 585, 1344, 2496, 8334, 281, 1411, 666, 2638, 856, 938, 5399, 17048, 2228, 610, 2307, 7172, 12579, 585, 7840, 3358, 547, 707, 4690, 269, 1879, 10478, 585, 2200, 267, 2015, 17161, 971, 607, 968, 28893, 10340, 2223, 968, 20931, 540, 4000, 2223, 968, 322, 8590, 2853, 538, 4000, 2223, 610, 4408, 540, 1808, 2477, 610, 6803, 2516, 269, 5457, 267, 1100, 2582, 2707, 6227, 3388, 267, 855, 11018, 4030, 689, 2789, 5380, 19267, 513, 21950, 13795, 540, 1702, 780, 7692, 281, 20944, 621, 267, 7064, 7705, 256, 901, 786, 9090, 1832, 803, 11112, 2542, 585, 513, 1247, 269, 1656, 6148, 1985, 942, 594, 1294, 11427, 269, 9652, 8654, 1200, 20943, 4673, 585, 918, 9774, 5633, 320, 267, 594, 3513, 1732, 5660, 519, 4644, 3297, 1200, 3527, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 314, 7093, 325, 2218, 8074, 267, 4989, 267, 476, 1220, 278, 281, 594, 16432, 713, 15853, 1282, 519, 1079, 3275, 540, 2904, 11219, 2317, 267, 476, 1220, 273, 269, 594, 6415, 711, 2386, 594, 3513, 2479, 9096, 621, 269, 594, 4126, 865, 269, 898, 781, 711, 1454, 946, 1510, 606, 4994, 267, 8259, 596, 1175, 1616, 547, 19584, 998, 621, 585, 2093, 269, 1703, 616, 513, 1906, 3444, 8100, 693, 519, 1439, 540, 930, 540, 519, 13366, 269, 1703, 616, 5458, 10616, 538, 621, 1869, 267, 6140, 1644, 547, 3961, 6214, 267, 899, 2021, 781, 267, 14447, 543, 24139, 267, 543, 3979, 12677, 2090, 269, 1548, 594, 1705, 729, 4584, 513, 1434, 1433, 593, 513, 1888, 267, 899, 21535, 16117, 267, 543, 1287, 13793, 513, 2110, 15853, 593, 602, 7127, 269, 589, 2603, 540, 1434, 2835, 723, 7902, 538, 519, 2250, 2947, 1296, 799, 1058, 581, 3773, 269, 594, 15475, 972, 786, 581, 1776, 8938, 3817, 610, 865, 952, 594, 2479, 1205, 1394, 547, 713, 1788, 269, 4746, 267, 519, 1257, 2115, 11049, 3833, 21354, 269, 1280, 930, 7164, 2601, 267, 594, 5206, 519, 14391, 725, 538, 18106, 5220, 269, 594, 4312, 6378, 1346, 909, 513, 3787, 585, 519, 1101, 1906, 3817, 267, 998, 1488, 323, 8636, 328, 269, 7102, 3118, 267, 594, 3513, 2022, 621, 585, 8726, 946, 621, 949, 581, 547, 1346, 945, 899, 12190, 13132, 269, 898, 16493, 856, 538, 4484, 268, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 24719, 13316, 1315, 8836, 1299, 23532, 5525, 1315, 3979, 5525, 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, 7705, 281, 19850, 7585, 256, 5620, 596, 2479, 4862, 827, 22358, 1427, 5766, 8565, 2496, 7692, 281, 3143, 267, 594, 10093, 1405, 269, 1548, 781, 602, 2496, 8334, 281, 4270, 267, 621, 781, 1945, 602, 4523, 538, 31826, 269, 1411, 917, 875, 3006, 649, 16620, 3983, 9939, 950, 1919, 1810, 1405, 979, 607, 9709, 286, 8330, 6331, 619, 2161, 602, 1522, 581, 1317, 540, 22358, 1427, 5766, 8565, 780, 7692, 281, 1809, 1018, 1281, 602, 1256, 1611, 286, 1215, 666, 513, 4541, 1118, 1250, 1554, 979, 4636, 2496, 8334, 281, 898, 781, 711, 602, 513, 4541, 2047, 8060, 938, 2729, 267, 855, 811, 899, 922, 2990, 5540, 519, 1648, 1472, 721, 269, 1879, 22358, 4422, 1427, 5766, 8565, 267, 799, 1797, 621, 5654, 899, 621, 781, 3001, 18807, 538, 519, 6607, 267, 930, 3494, 621, 6770, 10539, 543, 14784, 780, 7692, 281, 7937, 267, 15502, 269, 1924, 267, 899, 267, 952, 594, 6336, 1250, 6049, 610, 1945, 267, 621, 1223, 581, 1317, 540, 713, 22358, 3364, 344, 2496, 8334, 281, 9877, 540, 267, 9811, 269, 5457, 950, 596, 4503, 707, 6780, 2063, 3018, 543, 7948, 1405, 1265, 621, 9170, 286, 2334, 1223, 723, 1044, 513, 5634, 22358, 1427, 5766, 8565, 1198, 269, 898, 781, 849, 2404, 609, 21390, 267, 865 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2247, 568, 513, 1360, 3730, 5578, 269, 3502, 1152, 547, 1265, 519, 10569, 267, 855, 547, 4688, 721, 689, 782, 5686, 540, 2352, 3871, 269, 1284, 1810, 1406, 2141, 723, 547, 798, 1945, 547, 5469, 2436, 649, 616, 1818, 519, 1318, 3375, 267, 855, 2864, 1995, 621, 1101, 538, 938, 8186, 563, 4692, 2831, 798, 621, 1932, 286, 15742, 569, 267, 3173, 689, 519, 20999, 24806, 6481, 4659, 538, 519, 2136, 2276, 723, 3254, 269, 1809, 602, 729, 1360, 2352, 267, 1317, 267, 607, 789, 15091, 538, 741, 1867, 538, 519, 12139, 7070, 5445, 7948, 1406, 2307, 519, 2831, 563, 29919, 4641, 585, 8983, 454, 6011, 286, 1548, 789, 1185, 547, 1628, 585, 713, 729, 513, 2816, 538, 3294, 282, 589, 968, 10520, 3175, 3684, 892, 602, 7140, 606, 3662, 779, 4555, 883, 3527, 267, 513, 968, 28090, 2173, 22389, 8818, 1848, 634, 8983, 1101, 1185, 547, 2196, 593, 513, 3440, 267, 5635, 621, 547, 519, 3440, 538, 513, 2780, 10856, 269, 589, 5691, 1604, 729, 15810, 5196, 519, 6821, 4478, 519, 10856, 269, 5272, 1631, 543, 1287, 513, 3077, 5526, 972, 267, 543, 952, 519, 10856, 30390, 593, 621, 267, 621, 786, 1205, 930, 1216, 607, 513, 8007, 269, 1677, 1118, 519, 8007, 10694, 267, 519, 8983, 941, 22393, 6854, 19818, 344, 563, 4407, 519, 8983, 22646, 585, 519, 3077, 267, 2534, 729, 6027, 538, 741, 28481, 25283, 269, 901, 568, 513, 851, 540, 519, 2634, 602, 649, 917, 568, 1271, 585, 3965, 543, 9345, 269, 1635, 7900, 7368, 19707, 593, 519, 3731, 267, 519, 3684, 4121, 547, 12314, 922, 2634, 2534, 609, 513, 1808, 2962, 267, 543, 519, 3684, 729, 1287, 2111, 547, 3589, 609, 2347, 6111, 1018, 5322, 519, 3731, 1131, 1118, 1759, 593, 6786, 689, 519, 28481, 25283, 563, 306, 527, 1869, 543, 5734, 707, 3077, 454, 763, 1949, 941, 1287, 30890, 269, 634, 10856, 666, 1631, 1847, 547, 519, 3804, 1152, 538, 922, 4555, 269, 4014, 519, 2831, 941, 1863, 547, 1847, 267, 713, 1185, 1100, 1198, 593, 519, 1158, 789, 4718, 1472, 873, 593, 5496, 269, 1358, 1589, 865, 267, 543, 789, 1265, 856, 4166, 2614, 563, 763, 8983, 14578, 7307, 547, 1265, 519, 3077, 609, 741, 4555, 269, 634, 3173, 4766, 602, 950, 789, 6192, 811, 4247, 538, 713, 1259, 267, 789, 27361, 1447, 269, 1358, 12913, 519, 960, 676, 3206, 1152, 269, 3962, 4305, 3576, 827, 4557, 7643, 267, 855, 519, 5266, 1279, 3007, 12732, 729, 711, 606, 21677, 585, 519, 8983, 269, 901, 1797, 602, 789, 616, 2111, 547, 7639, 585, 513, 2147, 1974, 607, 3425, 563, 24137, 3395, 1858, 454, 763, 2164, 1611, 267, 1101, 267, 602, 8983, 2408, 547, 581, 2111, 547, 1463, 741, 4555, 538, 513, 2147, 1259, 547, 3425, 269, 3194, 25495, 602, 519, 28481, 25283, 4249, 513, 3844, 1909, 538, 713, 1184, 269, 12824, 4126, 602, 519, 1967, 540, 519, 2634, 3684, 786, 1291, 547, 519, 1646, 540, 971, 3457, 585, 3425, 563, 3080, 3498, 1373, 5249, 593, 568, 14382, 12060, 269, 634, 2856, 3297, 713, 568, 602, 952, 513, 2634, 3684, 666, 7157, 4612, 1004, 779, 15752, 267, 1346, 15752, 666, 581, 9927, 883, 3527, 3842, 513, 14382, 4854, 267, 1175, 607, 513, 6211, 1560, 851, 1131, 269, 898, 814, 1631, 1831, 1360, 3811, 538, 8983, 547, 4019, 713, 8144, 689, 9837, 547, 2962, 538, 513, 5691, 1158, 269, 2353, 540, 713, 568, 1869, 513, 1279, 1259, 689, 513, 14382, 4854, 1850, 2469, 538, 519, 4287, 596, 2461, 3206, 538, 519, 1483, 1158, 267, 855, 621, 779, 513, 1900, 4464, 563, 32451, 3983, 855, 19890, 281, 707, 4620, 814, 1100, 4606, 454, 2691, 649, 1413, 693, 938, 10130, 267, 649, 1294, 6857, 2623, 543, 4664, 269, 15020, 25992, 269, 1809, 1018, 649, 1294, 267, 3081, 5778, 27023, 626, 9478, 27439, 26919, 267, 568, 711, 972, 563, 15367, 993, 594, 286, 2659, 3032, 2731, 17358, 602, 596, 616, 6158, 547, 1200, 454, 290, 1846, 1451, 547, 5431, 519, 3159, 540, 5639, 538, 799, 741, 1480, 15274, 2232, 873, 563, 28319, 6838, 2575, 562, 514, 10937, 269, 2098, 4861, 773, 19995, 269, 7377, 2528, 7192, 20601, 5964, 269, 5680, 1695, 4301, 269, 4004, 545, 1807, 269, 5769, 562, 518, 323, 269, 26133, 4568, 544, 13273, 269, 570, 341, 10889, 269, 0, 27078, 21124, 1656, 2677, 1815, 3603, 281, 589, 11910, 1677, 3465, 2925, 3013, 779, 4563, 595, 655, 2678, 625, 454, 300, 1173, 582, 13879, 267, 23436, 674, 4526, 267, 543, 26232, 7431, 623, 15127, 782, 30339, 689, 1114, 15174, 540, 3013, 1765, 29910, 267, 667, 5861, 1421, 11908, 267, 543, 7147, 11652, 2671, 513, 1455, 5692, 281, 8497, 4563, 524, 655, 2678, 625, 563, 2026, 634, 1715, 3840, 8648, 8385, 4080, 267, 891, 7415, 2021, 723, 14754, 519, 2295, 2914, 3402, 532, 964, 1815, 1674, 540, 4563, 18205, 4609, 538, 741, 9757, 554, 2210, 12495, 267, 6117, 873, 547, 8756, 741, 16236, 543, 10845, 883, 606, 26772, 8990, 563, 4322, 2021, 779, 2984, 540, 6043, 543, 26772, 7029, 547, 19620, 519, 15683, 540, 4563, 524, 655, 2678, 625, 4196, 607, 513, 8903, 1289, 547, 2962, 538, 519, 4339, 585, 8497, 3013, 779, 4563, 19746, 12406, 563, 1103, 513, 9602, 7944, 540, 31869, 1326, 1144, 267, 835, 540, 6115, 779, 9510, 4563, 524, 655, 2678, 625, 568, 513, 32444, 12576, 540, 513, 476, 278, 4458, 6040, 8004, 1634, 607, 968, 301, 2335, 773, 2223, 945, 5747, 593, 2904, 476, 1240, 267, 476, 6977, 277, 563, 1607, 1032, 267, 607, 519, 4182, 9976, 9947, 564, 7570, 267, 513, 1554, 16033, 908, 31414, 267, 519, 18813, 640, 540, 715, 2335, 773, 779, 3803, 16889, 1747, 729, 695, 13593, 269, 1306, 4080, 676, 13235, 275, 6115, 267, 593, 602, 12556, 995, 3781, 267, 1739, 513, 11018, 540, 936, 476, 1220, 1004, 945, 3357, 547, 2628, 741, 24947, 593, 9947, 564, 7570, 267, 715, 2335, 773, 779, 18205, 729, 1305, 705, 331, 10270, 267, 1085, 528, 4221, 1200, 19772, 7723, 543, 21006, 519, 2295, 325, 3881, 5513, 2373, 561, 990, 5944, 5116, 972, 563, 763, 12924, 307, 2376, 6941, 602, 23436, 674, 4526, 267, 519, 10324, 8689, 540, 519, 4563, 31869, 1326, 1144, 7690, 267, 945, 568, 3743, 585, 8497, 713, 8978, 28200, 267, 729, 10969, 730, 950, 1352, 4362, 519, 21987, 269, 589, 6845, 1088, 612, 957, 540, 642, 663, 16117, 1185, 2261, 1042, 513, 1747, 609, 10373, 3140, 4644, 563, 6097, 547, 519, 17752, 267, 674, 4526, 267, 519, 1416, 339, 6033, 540, 519, 6778, 27098, 6363, 24580, 5742, 17020, 5980, 524, 655, 2678, 625, 538, 6115, 267, 667, 5861, 1421, 24151, 6043, 543, 4557, 13369, 538, 519, 3068, 540, 14488, 269, 2755, 519, 15231, 18718, 10830, 30895, 29263, 543, 11392, 15792, 2883, 1489, 585, 11091, 3646, 267, 674, 4526, 779, 5748, 9620, 547, 5150, 1256, 513, 6824, 540, 519, 2838, 7482, 269, 634, 1350, 2130, 29373, 1063, 519, 1416, 6905, 547, 519, 18718, 10830, 30895, 543, 519, 11105, 4563, 524, 655, 2678, 625, 568, 513, 22880, 12576, 540, 891, 8978, 4609, 685, 11528, 10714, 563, 300, 1173, 2714, 13879, 267, 945, 8547, 513, 18758, 1303, 27434, 609, 519, 1416, 540, 29106, 6229, 30895, 538, 20279, 267, 13151, 3307, 569, 19306, 519, 9759, 540, 741, 5692, 281, 968, 2171, 1796, 593, 741, 17525, 1848, 769, 6115, 267, 23436, 674, 4526, 2582, 26370, 569, 3576, 593, 519, 2749, 543, 5313, 2229, 950, 960, 1212, 9749, 12219, 547, 1958, 25209, 593, 519, 21058, 5742, 17020, 5980, 28200, 1282, 513, 11332, 2619, 22058, 566, 563, 6097, 547, 519, 2376, 267, 13879, 814, 1044, 8165, 513, 29287, 6370, 547, 11177, 29106, 6229, 30895, 267, 799, 6585, 519, 3788, 540, 476, 275, 267, 1822, 540, 519, 2749, 779, 9998, 4563, 7264, 267, 1519, 513, 18797, 540, 1200, 1378, 11937, 269, 634, 28200, 779, 7887, 3463, 568, 29252, 14700, 689, 519, 11105, 15922, 537, 267, 28978, 676, 7404, 1646, 267, 799, 814, 18233, 30401, 883, 513, 30635, 710, 269, 13879, 779, 6560, 13423, 558, 3278, 519, 11428, 2838, 547, 8190, 543, 8956, 891, 8978, 4609, 269, 6736, 29106, 6229, 779, 6284, 607, 513, 8978, 3135, 676, 20648, 543, 519, 1533, 540, 7147, 267, 519, 28200, 11392, 1100, 2229, 7616, 585, 5826, 563, 1103, 11068, 1633, 267, 11908, 267, 26232, 7431, 623, 15127, 18796, 602, 11908, 5295, 6439, 1518, 519, 3441, 3361, 547, 623, 15127, 30989, 3979, 30895, 950, 789, 726, 15735, 606, 1569, 2619, 936, 30401, 269, 769, 20279, 267, 13879, 267, 693, 519, 2295, 540, 1200, 2749, 779, 4563, 1686, 11091, 3646, 267, 14593, 513, 15989, 332, 1077, 547, 29106, 6229, 585, 3275, 267, 5555, 20310, 519, 10315, 547, 1303, 6412, 1200, 609, 519, 28200, 779, 1416, 563, 6097, 547, 519, 17752, 267, 519, 3169, 1297, 540, 17005, 4563, 19746, 12406, 538, 519, 2136, 2276, 3788, 7164, 267, 543, 713, 3390, 568, 2417, 28978, 676, 3908, 7616, 269, 570, 839, 540, 5215, 540, 4563, 524, 655, 2678, 625, 616, 642, 3539, 585, 11091, 14828, 267, 609, 513, 2487, 6735, 5373, 18747, 689, 476, 276, 267, 6110, 971, 524, 655, 2678, 625, 5275, 513, 2698, 540, 1269, 20981, 2929, 267, 22880, 569, 17804, 519, 2139, 7616, 689, 4357, 543, 9746, 22881, 563, 763, 2376, 11943, 602, 519, 3979, 1977, 8738, 658, 16140, 338, 27264, 2920, 729, 5293, 3735, 2063, 1032, 267, 2278, 1944, 1269, 274, 2929, 585, 8013, 14828, 547, 2697, 267, 1382, 267, 543, 8190, 4563, 524, 655, 2678, 625, 269, 1717, 267, 6837, 814, 711, 2943, 3261, 730, 519, 7482, 269, 9182, 267, 713, 9086, 3788, 811, 540, 513, 9153, 982, 513, 15889, 3070, 563, 1607, 1650, 729, 2854, 676, 4563, 27617, 23784, 681, 2378, 6130, 623, 6511, 269, 0, 295, 719, 14654, 2106, 807, 10786, 267, 1634, 585, 922, 16392, 3601, 267, 6585, 513, 2027, 1747, 538, 2757, 7489, 4529, 267, 1519, 922, 4276, 547, 3909, 2853, 543, 19623, 1137, 269, 901, 2376, 12538, 883, 519, 7096, 4644, 540, 670, 719, 14654, 2106, 807, 10786, 538, 2757, 7489, 3909, 19623, 1137, 543, 693, 10723, 4609, 269, 898, 7710, 875, 713, 10786, 568, 23091, 609, 5289, 4978, 267, 12738, 267, 543, 519, 11091, 540, 2686, 6561, 563, 295, 719, 14654, 2106, 807, 10786, 267, 9976, 585, 922, 16392, 7907, 267, 4249, 606, 7533, 1909, 538, 519, 3909, 2853, 543, 19623, 1137, 540, 2757, 7489, 4529, 269, 901, 2376, 7710, 519, 2620, 4276, 1063, 670, 719, 14654, 2106, 807, 10786, 543, 2757, 7489, 3909, 19623, 1137, 543, 10723, 4609, 267, 17766, 1769, 593, 519, 5289, 4644, 267, 12738, 267, 543, 2686, 6561, 2404, 609, 713, 10786, 563, 273, 269, 670, 719, 14654, 2106, 807, 538, 12465, 7489, 16241, 15815, 15317, 1137, 454, 1607, 3296, 2488, 606, 7650, 540, 875, 670, 719, 14654, 2106, 807, 10786, 568, 23091, 609, 2757, 7489, 3909, 19623, 1137, 269, 898, 12538, 883, 519, 10786, 781, 4527, 693, 31145, 4609, 267, 519, 12738, 2404, 609, 922, 946, 267, 543, 922, 1909, 538, 13057, 5289, 15322, 563, 274, 269, 634, 20154, 19043, 540, 670, 719, 14654, 2106, 807, 454, 763, 2376, 7710, 519, 5289, 4644, 540, 670, 719, 14654, 2106, 807, 10786, 538, 2757, 7489, 3909, 4978, 269, 898, 11828, 875, 519, 10786, 568, 9833, 607, 513, 3090, 540, 7067, 267, 22729, 267, 543, 5289, 21481, 267, 543, 922, 1909, 538, 8220, 3425, 547, 519, 10143, 563, 275, 269, 681, 3770, 338, 543, 24583, 3000, 625, 454, 763, 12738, 543, 18428, 2404, 609, 670, 719, 14654, 2106, 807, 10786, 538, 3909, 19623, 1137, 616, 8947, 538, 713, 3296, 269, 898, 8711, 875, 519, 10786, 568, 1031, 538, 17008, 267, 22729, 32537, 267, 543, 824, 10723, 2853, 602, 10802, 519, 19623, 781, 5289, 1995, 563, 276, 269, 670, 719, 14654, 2106, 807, 268, 3849, 1941, 539, 7843, 1255, 543, 1744, 21218, 454, 763, 2376, 7710, 519, 4527, 540, 670, 719, 14654, 2106, 807, 10786, 538, 17633, 543, 695, 21218, 2059, 31145, 11507, 269, 898, 11828, 875, 891, 4025, 540, 10847, 6451, 519, 10786, 883, 741, 6189, 267, 30120, 267, 543, 5289, 13513, 267, 2870, 513, 18900, 4276, 1063, 2470, 543, 17035, 563, 277, 269, 8836, 11595, 27264, 454, 295, 719, 14654, 2106, 807, 10786, 8309, 547, 519, 11091, 540, 2686, 6561, 538, 2757, 7489, 3909, 19623, 1137, 269, 901, 3296, 11828, 875, 519, 10786, 781, 946, 538, 12738, 543, 2853, 814, 1044, 5293, 1524, 998, 5481, 267, 17420, 2686, 5389, 543, 1702, 563, 278, 269, 670, 719, 14654, 2106, 807, 4173, 321, 781, 13636, 29938, 454, 763, 2376, 8711, 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 ]
[ 14055, 568, 835, 540, 519, 1292, 3742, 6464, 538, 17089, 267, 855, 519, 1198, 538, 713, 2013, 568, 711, 547, 1205, 1164, 267, 855, 547, 1205, 9350, 269, 589, 2754, 1572, 8000, 289, 18352, 568, 1210, 519, 6482, 540, 661, 9680, 338, 547, 5732, 2097, 547, 513, 4466, 602, 621, 5963, 1281, 2569, 1973, 2604, 269, 634, 12139, 15019, 3163, 3370, 930, 2487, 2164, 602, 538, 3355, 546, 3151, 267, 1973, 2604, 667, 2839, 2097, 1524, 563, 257, 4407, 519, 5432, 1164, 1034, 1004, 946, 18290, 585, 2501, 689, 25543, 5139, 10635, 27767, 26096, 630, 8025, 290, 1070, 1034, 3173, 3858, 602, 14055, 2488, 18290, 779, 544, 3641, 532, 1198, 269, 898, 3085, 1406, 883, 343, 6510, 3755, 267, 855, 621, 1281, 9350, 873, 1524, 4799, 5649, 811, 281, 5291, 2517, 10849, 13996, 2593, 270, 1001, 278, 270, 5400, 8276, 15097, 2275, 321, 323, 15918, 797, 25774, 13045, 2791, 631, 697, 2142, 11370, 3539, 519, 654, 3994, 595, 20792, 454, 20826, 476, 6349, 267, 476, 1001, 278, 476, 6021, 281, 1691, 7537, 454, 4407, 24036, 814, 1044, 5532, 547, 1082, 1560, 2640, 267, 971, 607, 15725, 1973, 4006, 543, 16715, 9025, 1981, 267, 621, 1281, 20866, 723, 4172, 3405, 514, 267, 513, 7623, 602, 3144, 538, 4430, 5666, 1223, 1291, 547, 6797, 3441, 269, 1280, 1346, 602, 6999, 547, 3136, 547, 28231, 519, 2640, 540, 24036, 6165, 267, 1510, 934, 745, 532, 519, 6797, 4220, 267, 621, 779, 1271, 547, 1174, 602, 972, 616, 1079, 8677, 540, 24036, 563, 290, 817, 807, 24036, 267, 799, 814, 513, 6793, 6492, 267, 568, 519, 14583, 1034, 2356, 1336, 538, 2706, 5658, 1115, 267, 607, 1134, 607, 519, 14583, 609, 519, 5207, 2179, 540, 4172, 3405, 514, 269, 11531, 267, 9919, 14125, 24036, 267, 513, 5065, 540, 16444, 20092, 267, 799, 568, 849, 811, 14427, 982, 519, 18706, 807, 24036, 267, 814, 25182, 6106, 982, 922, 811, 24080, 1031, 11218, 543, 849, 909, 547, 476, 1240, 2053, 1447, 540, 519, 6797, 1673, 600, 1645, 7623, 269, 4475, 267, 5103, 519, 1942, 267, 9919, 14125, 949, 581, 519, 24036, 1072, 5498, 2131, 619, 1058, 1413, 585, 563, 257, 6624, 2090, 723, 15763, 519, 536, 604, 584, 322, 730, 2470, 540, 519, 24996, 267, 14236, 1312, 9919, 14125, 543, 22101, 807, 24036, 607, 835, 8994, 6219, 4799, 5649, 811, 281, 4179, 2517, 4178, 6745, 1117, 2905, 22596, 2593, 270, 11794, 3887, 908, 270, 9767, 2173, 697, 15515, 1532, 340, 3539, 2914, 3994, 2275, 20792, 454, 19138, 281, 17266, 667, 846, 2986, 14055, 1744, 1144, 1677, 21079, 10552, 16242, 454, 20606, 476, 1839, 267, 476, 1001, 278, 476, 6021, 281, 1691, 7537, 454, 288, 2487, 1353, 5342, 693, 519, 2160, 540, 3502, 1154, 5069, 538, 4789, 814, 3254, 602, 513, 2582, 9570, 540, 2052, 10109, 573, 2723, 666, 3927, 2539, 1973, 2604, 585, 2043, 602, 616, 7092, 689, 1164, 1973, 2604, 269, 901, 568, 1390, 3377, 267, 6236, 2052, 10109, 573, 2723, 568, 513, 1875, 268, 5417, 1112, 633, 267, 2067, 6646, 269, 898, 568, 849, 606, 5863, 14634, 1317, 713, 1797, 602, 621, 666, 1521, 1082, 824, 9025, 4713, 267, 711, 1175, 13119, 269, 2052, 10109, 573, 2723, 568, 5156, 547, 581, 513, 5778, 23181, 656, 602, 666, 948, 2061, 9025, 2068, 543, 8482, 267, 538, 1840, 547, 16715, 606, 11506, 2295, 2557, 563, 257, 301, 22022, 476, 4037, 2929, 4079, 538, 519, 2136, 2276, 7985, 689, 13119, 267, 610, 1164, 1973, 2604, 269, 2334, 1797, 1472, 476, 3953, 2600, 540, 519, 2551, 568, 693, 606, 2799, 1981, 585, 2295, 2068, 543, 8482, 269, 898, 779, 1360, 9621, 602, 14055, 814, 519, 7872, 540, 4227, 543, 7303, 1978, 9025, 4713, 4799, 5649, 811, 281, 5291, 2517, 4178, 6983, 2335, 622, 577, 269, 18080, 270, 1001, 278, 270, 5400, 270, 2641, 4882, 17532, 1673, 846, 2275, 321, 323, 6879, 1144, 3146, 706, 576, 15918, 797, 25774, 13045, 10890, 2640, 540, 533, 727, 28699, 622, 454, 20606, 476, 2420, 267, 476, 1001, 278, 476, 1321, 281, 1691, 6751, 454, 303, 727, 28699, 622, 568, 835, 540, 519, 1034, 1072, 5006, 5613, 538, 519, 1158, 269, 898, 568, 1572, 513, 10143, 4829, 1317, 621, 568, 519, 1034, 5018, 4829, 538, 24396, 2835, 269, 898, 568, 513, 1434, 2707, 540, 8324, 2523, 6171, 589, 267, 6171, 595, 267, 6171, 661, 543, 31447, 3679, 607, 1134, 269, 2368, 540, 519, 1082, 2640, 540, 533, 727, 28699, 622, 1331, 602, 621, 14014, 689, 1863, 18119, 689, 4598, 547, 519, 3141, 269, 898, 849, 2337, 538, 30034, 519, 1973, 547, 948, 609, 519, 6604, 540, 1973, 28163, 543, 30243, 1637, 269, 623, 727, 28699, 622, 666, 849, 948, 538, 519, 6604, 540, 12263, 676, 4227, 6553, 269, 3502, 1152, 602, 2322, 621, 666, 849, 948, 519, 6454, 540, 3965, 543, 666, 948, 538, 12536, 563, 257, 303, 727, 28699, 622, 568, 3638, 538, 4550, 268, 31038, 1218, 543, 3976, 14014, 938, 1560, 689, 1863, 18119, 267, 799, 616, 3743, 585, 16349, 30333, 4799, 5649, 811, 281, 5291, 2517, 9392, 1993, 785, 807, 269, 785, 9332, 1307, 2593, 270, 5158, 16654, 270, 8234, 1922, 5893, 7933, 2884, 9706, 727, 28699, 622, 1532, 523, 9026, 270, 14895, 6011, 270, 31430, 15221, 6924, 6983, 916, 0, 347, 10666, 519, 3883, 2008, 268, 2709, 1053, 5051, 2352, 2591, 543, 3255, 547, 1118, 3664, 910, 1544, 10151, 23434, 910, 8488, 11815, 2305, 769, 2110, 267, 1205, 6899, 609, 1373, 13943, 269, 1284, 1616, 547, 20741, 12592, 1762, 1004, 945, 1397, 5718, 5415, 268, 2709, 1053, 5051, 2352, 2591, 543, 3255, 547, 1118, 3664, 910, 1544, 10151, 23434, 910, 8488, 11815, 2305, 769, 2110, 267, 1205, 6899, 609, 1373, 13943, 269, 1284, 1616, 547, 20741, 12592, 1762, 1004, 945, 1397, 5718, 7907, 267, 616, 8465, 543, 865, 616, 2111, 547, 2490, 741, 2247, 547, 4376, 267, 543, 616, 1360, 2656, 547, 4584, 909, 1007, 1983, 269, 11109, 19927, 875, 547, 1451, 267, 789, 786, 29311, 789, 991, 547, 16111, 11654, 1582, 268, 1646, 952, 789, 616, 2469, 547, 8011, 538, 2413, 1272, 269, 1215, 286, 1635, 2870, 519, 1318, 1604, 543, 4758, 519, 1053, 519, 1318, 547, 946, 741, 1378, 8186, 547, 2824, 543, 2347, 3785, 269, 7073, 3450, 2409, 543, 6163, 2736, 1524, 519, 7496, 1063, 4116, 543, 2875, 267, 543, 1711, 606, 13016, 855, 11295, 1565, 1604, 269, 901, 2636, 811, 835, 547, 835, 942, 543, 11942, 513, 2631, 540, 14374, 543, 16542, 269, 634, 2208, 2247, 1305, 568, 2353, 568, 2009, 256, 865, 519, 9263, 2604, 568, 585, 3025, 547, 8011, 269, 3962, 1367, 568, 12592, 593, 547, 3152, 1919, 269, 2986, 782, 519, 6765, 2409, 594, 723, 6594, 538, 519, 5375, 2622, 594, 1745, 519, 4400, 15306, 4400, 1062, 543, 960, 676, 667, 12447, 700, 8636, 5652, 543, 667, 12447, 24204, 7999, 553, 616, 519, 1034, 2500, 543, 25401, 4143, 547, 519, 476, 2641, 560, 11416, 269, 910, 4024, 590, 9801, 1633, 901, 568, 519, 3109, 543, 3043, 7160, 4024, 590, 9801, 1633, 6039, 476, 1704, 1296, 607, 5600, 24490, 693, 589, 580, 23127, 5441, 538, 16645, 1513, 1606, 584, 14114, 961, 517, 267, 16848, 269, 4438, 1010, 942, 693, 589, 580, 23127, 646, 6854, 513, 476, 3607, 20356, 22892, 1793, 17274, 693, 25095, 525, 538, 519, 2405, 543, 5781, 3576, 1053, 593, 23874, 31054, 6030, 547, 1451, 547, 13743, 543, 267, 1657, 782, 267, 547, 2744, 1582, 21873, 269, 1261, 814, 1631, 5828, 1010, 3007, 547, 7311, 2413, 3450, 2553, 547, 2285, 938, 1053, 606, 2069, 14018, 547, 519, 3728, 19145, 2053, 543, 4066, 540, 2221, 269, 0, 3528, 25760, 11068, 344, 8291, 454, 1103, 3703, 12052, 782, 18513, 6608, 616, 2838, 676, 1876, 547, 3132, 513, 7059, 6578, 269, 1403, 1942, 936, 337, 12584, 616, 30309, 267, 519, 29109, 814, 1079, 1296, 547, 6439, 1518, 519, 3510, 269, 2311, 519, 2199, 1377, 267, 1169, 6578, 776, 6221, 568, 8947, 547, 3313, 952, 1022, 1942, 9806, 666, 581, 6444, 610, 952, 513, 3454, 2333, 568, 2556, 269, 1306, 513, 1267, 267, 18513, 23348, 616, 5393, 4977, 6054, 563, 4263, 519, 21621, 543, 5313, 1377, 267, 1100, 971, 4031, 2291, 269, 1452, 6608, 666, 10210, 2724, 547, 3382, 1942, 936, 337, 12584, 1510, 2348, 547, 6318, 9204, 547, 4308, 609, 2110, 17517, 602, 1267, 538, 513, 17211, 269, 1306, 972, 568, 1100, 10421, 547, 3382, 1942, 936, 337, 12584, 1369, 513, 3989, 1974, 540, 942, 267, 22907, 4043, 547, 1039, 909, 269, 901, 849, 1797, 519, 23348, 3812, 676, 2362, 2157, 540, 2229, 616, 2484, 1447, 4977, 563, 1607, 4989, 267, 519, 5313, 2229, 5950, 513, 6578, 20925, 513, 21045, 540, 1269, 272, 269, 275, 5479, 267, 799, 3769, 2921, 2724, 856, 540, 519, 20314, 1890, 2508, 1031, 585, 9568, 8323, 543, 25477, 15928, 269, 634, 2063, 942, 594, 13761, 267, 25477, 15928, 729, 711, 1644, 547, 9204, 267, 865, 1018, 568, 3592, 1269, 273, 5479, 540, 519, 2508, 602, 12851, 547, 8225, 4600, 543, 12820, 3257, 538, 4937, 1234, 1597, 1132, 286, 13259, 267, 621, 568, 606, 9550, 1032, 563, 3080, 1360, 1271, 4063, 568, 519, 535, 2644, 1759, 519, 6578, 593, 513, 2208, 16879, 540, 1079, 829, 1298, 269, 1403, 891, 20327, 616, 1055, 676, 1152, 835, 829, 1298, 267, 621, 786, 1611, 519, 2229, 786, 2196, 513, 17211, 540, 1269, 274, 269, 275, 5479, 269, 634, 4346, 26438, 538, 519, 1101, 10116, 543, 568, 4397, 547, 4579, 2417, 538, 519, 2034, 10116, 267, 799, 1223, 1267, 538, 513, 17211, 540, 1134, 936, 1269, 276, 5479, 538, 476, 1001, 276, 269, 17166, 1434, 25742, 547, 519, 1454, 1200, 531, 4765, 21045, 563, 2080, 538, 3703, 12052, 267, 11642, 616, 986, 3101, 269, 2060, 512, 5407, 1673, 787, 2175, 543, 3905, 4365, 267, 12080, 540, 5983, 7370, 8387, 616, 17782, 909, 547, 476, 1789, 1007, 11642, 829, 1554, 1223, 1376, 267, 543, 2200, 616, 2907, 21401, 6094, 269, 3962, 1032, 267, 645, 5861, 269, 23348, 1269, 8287, 2929, 547, 4339, 23967, 267, 513, 1297, 602, 814, 1100, 4493, 538, 4641, 269, 7831, 1032, 267, 3592, 1269, 4968, 2929, 729, 6170, 8165, 23967, 609, 519, 5993, 3328, 936, 519, 2063, 4557, 1296, 1373, 1269, 13970, 269, 276, 2929, 269, 1924, 267, 1946, 6578, 865, 2370, 286, 901, 1032, 267, 519, 645, 5861, 269, 6608, 6578, 25221, 513, 21045, 540, 1269, 279, 8064, 2929, 269, 2060, 4199, 20327, 23630, 1699, 2344, 2418, 267, 649, 616, 7487, 713, 21045, 630, 32173, 958, 264, 979, 909, 538, 8673, 563, 2171, 991, 547, 3747, 602, 938, 21621, 543, 5313, 14761, 4020, 811, 3743, 23348, 3079, 540, 4730, 7387, 3756, 585, 16018, 269, 0, 23744, 6340, 267, 17944, 616, 1767, 547, 581, 4079, 950, 789, 3914, 519, 1448, 540, 4638, 15657, 543, 2253, 18413, 5798, 269, 901, 3335, 4386, 950, 519, 17944, 616, 1063, 476, 1626, 543, 476, 2190, 4374, 540, 2085, 267, 4470, 593, 9742, 267, 855, 1256, 930, 2043, 1369, 513, 9742, 786, 1020, 811, 3533, 610, 7444, 982, 1866, 269, 634, 3440, 335, 1046, 2085, 585, 950, 513, 1762, 9269, 568, 2808, 9921, 568, 476, 1240, 4374, 269, 7195, 583, 630, 536, 561, 579, 512, 536, 2000, 2393, 267, 536, 561, 579, 512, 536, 1695, 2000, 2393, 849, 25250, 607, 2545, 582, 264, 568, 513, 6992, 1242, 3384, 4212, 21872, 602, 568, 23017, 543, 13881, 689, 519, 7387, 269, 634, 3259, 540, 29164, 1354, 519, 4212, 568, 11273, 568, 513, 2339, 540, 2199, 13283, 267, 855, 3622, 9832, 1063, 476, 1691, 543, 476, 2641, 2395, 269, 28624, 1340, 329, 600, 256, 4258, 619, 547, 1776, 4161, 256, 901, 4161, 568, 1063, 803, 543, 1250, 11078, 267, 855, 585, 1346, 945, 1616, 547, 6443, 538, 519, 1187, 256, 18461, 1863, 547, 1491, 909, 519, 4161, 3054, 3738, 1775, 993, 1869, 711, 269, 4584, 1194, 5798, 1118, 513, 2656, 267, 2635, 7594, 25690, 610, 2653, 15165, 269, 5192, 707, 1863, 476, 1428, 22240, 3391, 547, 8497, 5798, 1934, 4179, 4178, 269, 17378, 4189, 19655, 267, 4212, 4189, 12332, 267, 4212, 4189, 8144, 267, 7005, 8675, 4214, 540, 4212, 4189, 269, 12054, 514, 26448, 8685, 2544, 910, 1022, 540, 519, 3875, 1279, 5996, 565, 3176, 8685, 2737, 538, 519, 1449, 529, 799, 616, 519, 4609, 1141, 521, 704, 3901, 9926, 10394, 9921, 269, 22167, 611, 267, 3023, 14189, 910, 513, 14189, 538, 799, 13708, 26347, 630, 16303, 2281, 264, 616, 3812, 269, 918, 16211, 3165, 786, 2356, 2482, 5798, 782, 936, 519, 7382, 610, 11432, 693, 4351 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1591, 592, 924, 10953, 811, 4749, 538, 14402, 1606, 7219, 2740, 2021, 563, 28053, 592, 924, 666, 849, 581, 2938, 811, 10355, 538, 2367, 269, 20226, 1589, 602, 519, 1114, 4162, 540, 519, 3889, 896, 519, 2960, 543, 1447, 3170, 5160, 538, 2367, 2569, 519, 1981, 269, 13379, 2744, 666, 1118, 1591, 592, 924, 811, 18476, 267, 855, 930, 6094, 1004, 849, 723, 1591, 592, 924, 269, 1323, 29680, 25161, 6197, 543, 6379, 666, 2333, 519, 1981, 540, 3384, 1591, 592, 924, 563, 1432, 616, 519, 2589, 540, 1591, 592, 924, 888, 28053, 592, 924, 568, 6353, 676, 606, 967, 5034, 2960, 5920, 538, 1560, 2127, 971, 607, 25637, 267, 25427, 338, 267, 543, 17737, 269, 901, 5920, 593, 519, 2960, 568, 3006, 4330, 607, 513, 32119, 10381, 610, 10538, 22019, 5920, 563, 1103, 7646, 1591, 592, 924, 267, 519, 10538, 22019, 5920, 593, 519, 2960, 666, 1152, 581, 2938, 676, 735, 7675, 519, 4299, 1858, 971, 607, 519, 25427, 338, 269, 769, 811, 4049, 1591, 592, 924, 267, 519, 11315, 2497, 540, 519, 2960, 568, 18476, 538, 1022, 2013, 269, 8426, 592, 924, 568, 1034, 4122, 2938, 1472, 519, 25427, 338, 543, 12765, 4169, 267, 855, 666, 849, 581, 1336, 593, 519, 28244, 267, 2539, 17737, 267, 543, 5580, 7916, 563, 28053, 592, 924, 568, 711, 513, 3978, 2564, 2783, 543, 2126, 568, 711, 2556, 269, 769, 1249, 267, 1082, 7189, 2015, 1591, 592, 924, 547, 581, 513, 3339, 12136, 269, 15706, 609, 4145, 827, 1591, 592, 924, 543, 741, 2960, 5920, 616, 15695, 547, 5077, 513, 17172, 6048, 610, 5068, 18874, 563, 1432, 616, 519, 1591, 592, 924, 9344, 888, 22706, 476, 272, 281, 634, 10538, 22019, 5920, 568, 711, 18476, 950, 14084, 1524, 543, 7555, 267, 543, 519, 2960, 5526, 5347, 563, 22706, 476, 273, 281, 16164, 5526, 5347, 950, 14084, 1524, 267, 855, 930, 3897, 7204, 568, 18476, 950, 7555, 563, 22706, 476, 274, 281, 1703, 568, 606, 10538, 22019, 5920, 593, 519, 2960, 1247, 7555, 543, 14084, 1524, 563, 1692, 568, 1591, 592, 924, 5701, 888, 2467, 568, 1100, 1808, 2126, 4781, 602, 568, 4625, 2500, 585, 1591, 592, 924, 269, 634, 1739, 5574, 949, 2087, 519, 5920, 540, 1591, 592, 924, 267, 693, 2547, 17303, 912, 299, 5308, 5058, 12327, 290, 8577, 25723, 20846, 454, 306, 869, 543, 6417, 2597, 2530, 540, 14968, 2043, 609, 513, 2635, 2732, 543, 2834, 3635, 666, 5594, 2087, 519, 18473, 5920, 540, 519, 2960, 269, 1717, 267, 6727, 543, 4028, 2597, 2530, 3123, 29345, 3101, 540, 519, 2960, 543, 7707, 839, 519, 5920, 540, 1591, 592, 924, 563, 299, 6471, 543, 5925, 325, 15968, 1949, 454, 22818, 519, 1034, 9621, 2126, 4781, 568, 519, 946, 540, 8955, 543, 5925, 325, 15968, 1949, 269, 1703, 616, 1614, 1114, 1949, 1031, 538, 1591, 592, 924, 2126, 269, 2353, 1614, 1949, 1683, 6454, 538, 519, 2960, 1310, 513, 3126, 540, 5574, 269, 634, 2164, 5833, 666, 581, 8628, 585, 909, 547, 3670, 3275, 269, 1452, 1949, 949, 1331, 912, 268, 634, 1101, 3096, 513, 4999, 540, 5160, 18552, 267, 5925, 325, 15968, 2029, 543, 18342, 1769, 547, 1521, 1591, 592, 924, 563, 268, 769, 1776, 1062, 267, 513, 4999, 540, 26534, 8955, 1648, 543, 5160, 18552, 568, 9053, 563, 268, 634, 3791, 1062, 3096, 8195, 2620, 543, 21603, 2157, 540, 5925, 325, 15968, 547, 1521, 1591, 592, 924, 563, 299, 6471, 19443, 9067, 657, 25934, 454, 5278, 1004, 3442, 547, 723, 9067, 657, 25934, 585, 1591, 592, 924, 2126, 269, 4438, 9067, 657, 25934, 267, 3170, 2281, 616, 647, 22486, 609, 519, 948, 540, 513, 6094, 8546, 5116, 896, 519, 2960, 998, 513, 1507, 1651, 1707, 593, 519, 2960, 269, 4014, 9067, 657, 25934, 4805, 5546, 519, 1560, 267, 621, 1281, 711, 4894, 1591, 592, 924, 543, 949, 22009, 519, 10538, 22019, 5920, 269, 21558, 19443, 9067, 657, 25934, 3947, 811, 2500, 2164, 538, 1591, 592, 924, 2126, 269, 901, 2126, 568, 513, 1114, 1505, 540, 9067, 657, 25934, 602, 30001, 3170, 2281, 1247, 9395, 2287, 519, 2960, 563, 290, 787, 30649, 565, 1736, 1863, 8240, 20188, 6675, 538, 6237, 3170, 2281, 538, 2127, 540, 519, 1560, 971, 607, 25637, 543, 17737, 269, 901, 15111, 22190, 28508, 1505, 568, 9621, 538, 5355, 519, 5920, 540, 1591, 592, 924, 563, 1607, 1875, 1606, 17790, 1505, 3096, 3280, 6329, 547, 2569, 6098, 3170, 2281, 538, 519, 17737, 543, 25427, 338, 269, 634, 2164, 5833, 616, 2500, 585, 476, 273, 547, 476, 274, 3275, 563, 14303, 26096, 568, 513, 6171, 589, 12045, 602, 29620, 20018, 5250, 543, 6971, 1863, 18119, 269, 3828, 823, 3232, 3498, 540, 476, 271, 269, 274, 260, 1427, 26096, 8645, 814, 1044, 3254, 547, 2569, 519, 5920, 540, 1591, 592, 924, 676, 5347, 532, 519, 2960, 1310, 3670, 3275, 563, 2005, 568, 513, 2126, 1505, 4294, 538, 519, 1106, 540, 3327, 8166, 3154, 13297, 896, 519, 2960, 269, 2368, 1591, 592, 924, 666, 581, 5701, 609, 713, 1505, 269, 898, 949, 2014, 2427, 2360, 971, 607, 20015, 2358, 543, 9636, 1310, 519, 5650, 563, 1432, 616, 519, 2081, 547, 2061, 1591, 592, 924, 888, 2005, 568, 711, 2009, 547, 2061, 1591, 592, 924, 5250, 476, 1911, 10065, 1809, 713, 568, 1317, 2921, 930, 15416, 666, 2569, 519, 5250, 540, 1591, 592, 924, 269, 1323, 3742, 6197, 543, 2635, 2732, 666, 948, 7413, 519, 5920, 540, 1591, 592, 924, 269, 769, 1840, 267, 4509, 513, 2635, 1560, 2597, 568, 2500, 538, 10893, 519, 4110, 540, 3897, 1255, 593, 519, 25427, 338, 610, 17737, 269, 26298, 3613, 21880, 28517, 5751, 585, 519, 25427, 338, 543, 4295, 666, 849, 948, 3337, 543, 24390, 519, 2127, 1141, 1591, 592, 924, 5526, 563, 2690, 1346, 945, 616, 14968, 267, 9561, 2597, 666, 948, 2569, 519, 5920, 540, 1591, 592, 924, 269, 1809, 2597, 2530, 666, 849, 2014, 519, 2783, 547, 1831, 811, 14733, 538, 930, 1004, 269, 700, 5366, 2960, 267, 799, 2356, 4386, 1310, 4028, 543, 1713, 2597, 2530, 267, 666, 1267, 538, 519, 5920, 540, 1591, 592, 924, 4742, 811, 14733, 269, 1280, 713, 2601, 267, 513, 2597, 2530, 1982, 568, 5227, 602, 786, 1450, 519, 2960, 547, 12701, 7930, 543, 2687, 547, 2597, 2530, 563, 21982, 1434, 1416, 540, 707, 2960, 2337, 2569, 519, 5920, 540, 1591, 592, 924, 269, 898, 666, 581, 2500, 547, 16718, 7296, 543, 946, 24429, 2472, 547, 948, 519, 2960, 3251, 29779, 267, 535, 597, 1067, 543, 811, 13412, 269, 5221, 9395, 2960, 666, 948, 2569, 519, 5920, 540, 1591, 592, 924, 269, 0, 1103, 713, 5850, 267, 649, 786, 917, 875, 547, 798, 31941, 338, 538, 9185, 607, 1134, 607, 922, 31930, 269, 4746, 267, 649, 786, 2491, 31941, 338, 543, 25436, 5296, 338, 538, 9185, 563, 2252, 596, 616, 11842, 875, 547, 1039, 31941, 338, 538, 14133, 713, 3391, 9985, 13352, 585, 596, 563, 1432, 568, 4427, 27771, 538, 9185, 888, 8138, 27771, 538, 9185, 568, 519, 11249, 2511, 540, 513, 1297, 538, 799, 513, 1257, 1915, 610, 1297, 568, 5116, 2630, 18631, 519, 1257, 269, 4107, 569, 267, 621, 568, 1031, 538, 6128, 971, 607, 2845, 273, 267, 610, 538, 3114, 12596, 899, 670, 273, 302, 267, 3092, 267, 543, 865, 593, 563, 6011, 547, 798, 31941, 538, 14133, 454, 1692, 547, 798, 31941, 610, 1022, 11249, 596, 1616, 267, 1175, 1930, 519, 14474, 19204, 13972, 4216, 269, 1924, 950, 1169, 942, 596, 1616, 547, 3898, 1257, 621, 568, 2656, 543, 2653, 563, 8855, 950, 7311, 31941, 267, 621, 568, 711, 10858, 547, 4019, 538, 519, 3003, 1591, 269, 898, 568, 1317, 782, 519, 1257, 786, 1847, 2630, 610, 1657, 519, 15977, 13296, 649, 1810, 1406, 1616, 621, 563, 3086, 267, 1934, 616, 519, 3268, 593, 875, 547, 798, 31941, 338, 7157, 563, 268, 4400, 7547, 519, 1257, 547, 3898, 563, 2414, 798, 713, 267, 5595, 26487, 519, 1591, 543, 5031, 1257, 1210, 519, 10856, 269, 23657, 798, 519, 2596, 1259, 1175, 5734, 674, 273, 543, 5512, 547, 12575, 543, 2824, 1257, 563, 268, 7046, 519, 14474, 19204, 13972, 4216, 454, 3383, 2046, 595, 27530, 1341, 476, 272, 610, 1318, 26487, 519, 5542, 543, 2824, 14474, 19204, 2507, 689, 519, 2796, 10624, 563, 268, 8564, 31941, 338, 563, 2691, 519, 14474, 19204, 13972, 4216, 10741, 267, 979, 547, 519, 674, 2632, 9184, 267, 543, 2824, 4427, 27771, 896, 12186, 563, 268, 8437, 15528, 547, 4688, 543, 2673, 519, 13972, 4216, 563, 6546, 779, 621, 596, 616, 2944, 267, 596, 1631, 1294, 519, 1257, 538, 31941, 338, 11249, 563, 7230, 5407, 281, 901, 11249, 2511, 540, 9185, 1152, 2242, 519, 3308, 6881, 540, 519, 1871, 538, 513, 1591, 269, 1717, 267, 538, 513, 4542, 3046, 621, 786, 4159, 519, 3312, 1871, 540, 519, 1257, 543, 16315, 602, 621, 568, 31941, 568, 711, 7298, 563, 26211, 12827, 547, 31941, 538, 14133, 454, 2252, 596, 1616, 547, 7696, 31941, 338, 538, 707, 4976, 3533, 267, 1934, 568, 519, 13691, 30246, 7498, 18208, 595, 27530, 266, 4537, 3424, 266, 293, 4553, 676, 16816, 266, 289, 563, 1607, 786, 6460, 707, 5697, 1257, 547, 31941, 338, 563, 338, 1575, 619, 5296, 543, 31941, 538, 14133, 454, 306, 1575, 619, 5296, 568, 1869, 513, 11249, 540, 1257, 538, 14133, 13296, 519, 1257, 610, 1297, 568, 5116, 593, 519, 1657, 15977, 269, 1403, 972, 568, 1022, 18631, 1257, 538, 513, 1591, 267, 25436, 5296, 568, 7923, 547, 519, 1283, 540, 519, 2834, 13355, 3197, 563, 7197, 569, 267, 621, 568, 1031, 547, 2328, 4009, 4559, 267, 23055, 267, 610, 3921, 1400, 2338, 971, 607, 476, 272, 560, 267, 476, 273, 526, 267, 610, 476, 274, 6113, 563, 288, 4427, 27771, 568, 513, 1507, 1915, 610, 5569, 602, 568, 5116, 2630, 519, 15977, 540, 1257, 563, 27269, 538, 2979, 267, 621, 568, 1419, 8246, 547, 2328, 1297, 13279, 899, 476, 277, 4366, 610, 3114, 12596, 971, 607, 670, 273, 302, 610, 19760, 274, 563, 290, 4878, 543, 13594, 4427, 27771, 543, 10016, 619, 5296, 538, 9185, 454, 7712, 9786, 9185, 1281, 711, 1683, 31930, 610, 9479, 585, 31941, 543, 25436, 5296, 338, 269, 5213, 1406, 5855, 649, 3893, 596, 269, 15439, 5299, 543, 13594, 519, 31941, 543, 25436, 5296, 2338, 543, 6698, 2630, 912, 8138, 27771, 338, 281, 476, 8975, 478, 476, 8975, 479, 476, 8975, 480, 476, 8975, 481, 476, 8975, 482, 476, 8975, 483, 476, 8975, 484, 476, 8975, 485, 476, 8975, 486, 476, 8975, 487, 19238, 488, 19238, 489, 19238, 490, 19238, 491, 19238, 492, 454, 306, 1575, 619, 5296, 338, 281, 476, 22397, 364, 476, 382, 373, 476, 11054, 476, 23326, 476, 22397, 368, 476, 22397, 369, 476, 22397, 370, 476, 22397, 371, 476, 22397, 372, 476, 22397, 373, 2340, 479, 374, 2340, 479, 375, 2340, 479, 376, 2340, 479, 377, 2340, 479, 378, 454, 7343, 30068, 267, 713, 1505, 568, 606, 5413, 952, 596, 1616, 3274, 1039, 31941, 338, 543, 25436, 5296, 338, 538, 707, 1871, 267, 1257, 543, 2338, 563, 1103, 3932, 267, 649, 666, 2995, 689, 713, 2376, 602, 31941, 338, 538, 14133, 602, 9786, 9185, 11249, 568, 4294, 547, 782, 1239, 2010, 538, 519, 1482, 1259, 269, 11531, 267, 31941, 543, 25436, 5296, 960, 8335, 563, 1607, 11249, 1152, 1568, 593, 1257, 2418, 543, 711, 538, 2338, 269, 634, 2601, 1946, 888, 303, 1601, 4601, 1317, 713, 1131, 6460, 2338, 547, 12673, 543, 789, 1616, 547, 2061, 596, 689, 18417, 32657, 663, 1782, 707, 1239, 563, 2467, 596, 723, 621, 596, 666, 1631, 946, 31941, 338, 538, 707, 1239, 3211, 269, 594, 4126, 596, 723, 4121, 827, 713, 1888, 563, 14188, 596, 585, 2542, 9462, 30904, 0, 763, 10605, 540, 1689, 538, 519, 2413, 1158, 568, 1419, 4028, 543, 546, 11170, 3539, 269, 16370, 602, 3100, 7533, 547, 938, 2729, 666, 267, 538, 1018, 7959, 899, 606, 8216, 267, 1831, 32118, 543, 13061, 563, 21328, 568, 513, 5823, 1141, 5647, 543, 1007, 2093, 2339, 513, 2603, 267, 607, 2477, 543, 3549, 2119, 547, 1265, 2081, 547, 6521, 547, 513, 2486, 1759, 593, 7791, 1648, 971, 607, 2842, 543, 3859, 2864, 982, 8093, 10173, 971, 607, 5755, 267, 3282, 543, 2067, 3154, 563, 7628, 513, 8470, 4901, 693, 2063, 3018, 779, 2622, 9483, 17072, 538, 5096, 657, 267, 16848, 267, 835, 25566, 6829, 1010, 4250, 602, 519, 2344, 1705, 711, 3100, 547, 723, 4121, 689, 824, 6639, 26201, 563, 24171, 670, 2129, 928, 4149, 1706, 321, 2180, 267, 2212, 540, 6940, 1382, 693 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 811, 1455, 538, 3425, 982, 538, 824, 2831, 563, 763, 1353, 729, 3370, 4239, 269, 476, 279, 538, 552, 16908, 269, 634, 1382, 729, 3366, 676, 27563, 15576, 773, 631, 11986, 267, 12854, 267, 543, 19257, 3534, 3057, 7236, 24089, 267, 12854, 267, 540, 519, 2160, 540, 9628, 282, 2494, 341, 754, 571, 19453, 267, 12854, 267, 693, 26658, 2160, 282, 543, 22118, 577, 693, 772, 289, 269, 3213, 22052, 4243, 3769, 11835, 22828, 631, 17458, 267, 12854, 267, 543, 3967, 808, 528, 529, 645, 4592, 839, 267, 12854, 267, 689, 2160, 9869, 8558, 540, 595, 990, 18782, 1299, 2782, 342, 6506, 10921, 543, 519, 2160, 540, 2782, 19213, 563, 10574, 689, 519, 1788, 1223, 2482, 519, 24536, 585, 2104, 2090, 6322, 693, 1620, 267, 7303, 543, 8156, 1585, 8801, 6379, 4093, 267, 11744, 519, 1379, 540, 519, 6932, 2361, 540, 12105, 4915, 563, 10932, 814, 3379, 5444, 2534, 538, 519, 27042, 16298, 540, 3425, 547, 602, 540, 824, 2831, 1282, 6379, 610, 1247, 8876, 5798, 267, 1519, 28499, 267, 5017, 267, 22171, 543, 23047, 1575, 10118, 267, 543, 519, 3531, 2988, 639, 269, 634, 1353, 4857, 7366, 540, 6090, 602, 6591, 610, 4503, 29897, 4082, 538, 519, 1480, 22871, 267, 2519, 593, 519, 1101, 959, 30478, 540, 6379, 563, 2026, 519, 1353, 5359, 267, 6090, 602, 723, 7960, 547, 581, 5828, 593, 543, 1055, 538, 519, 1480, 19786, 616, 968, 523, 878, 1117, 609, 4761, 3252, 267, 15202, 3157, 267, 543, 6090, 2404, 609, 8801, 6379, 4093, 971, 607, 26983, 267, 2048, 516, 9690, 21245, 16377, 267, 840, 3887, 743, 10102, 807, 543, 840, 3410, 4332, 9957, 7324, 891, 6090, 616, 1346, 602, 949, 3565, 547, 513, 5892, 7164, 14774, 1922, 13926, 2792, 1062, 630, 12487, 305, 273, 289, 1070, 2333, 14774, 1922, 13926, 6375, 582, 16260, 630, 11520, 7374, 272, 299, 294, 273, 267, 849, 1634, 607, 19113, 6441, 273, 1070, 543, 3895, 15466, 28889, 9934, 543, 2620, 726, 659, 1581, 12289, 630, 290, 3036, 2562, 1916, 2108, 5978, 1957, 2731, 8711, 519, 3730, 1909, 540, 12105, 2553, 538, 6037, 1049, 1382, 2223, 3081, 631, 11986, 267, 513, 2022, 4777, 28118, 8284, 538, 519, 4972, 540, 5274, 21834, 543, 519, 4972, 540, 5029, 1143, 531, 10334, 543, 22845, 693, 519, 2160, 540, 9628, 269, 968, 763, 1614, 6090, 649, 723, 4857, 630, 12487, 305, 273, 289, 267, 19113, 7374, 272, 299, 294, 273, 543, 2910, 305, 2562, 264, 786, 4434, 960, 593, 15202, 1949, 693, 519, 2629, 3993, 1922, 28127, 8818, 267, 799, 5222, 519, 1967, 543, 1072, 540, 513, 6379, 3034, 14881, 729, 3226, 27278, 676, 938, 4466, 602, 519, 25945, 6090, 941, 23353, 538, 513, 22515, 15202, 13374, 2223, 3081, 3057, 7236, 24089, 267, 513, 2022, 4777, 28118, 11001, 538, 519, 4972, 540, 5274, 21834, 543, 519, 4972, 540, 5029, 1143, 531, 10334, 543, 22845, 693, 519, 2160, 540, 9628, 269, 968, 8448, 3173, 723, 5892, 12006, 519, 1761, 1909, 540, 22515, 543, 922, 16755, 538, 2038, 4074, 269, 594, 1131, 581, 8049, 547, 8495, 2417, 1018, 568, 519, 3169, 7636, 7271, 676, 799, 22515, 7506, 519, 12557, 540, 4332, 563, 4517, 4352, 519, 2376, 2982, 875, 12105, 1382, 666, 1683, 1898, 1344, 585, 4915, 267, 22118, 577, 3081, 602, 2241, 7279, 568, 835, 540, 1010, 1292, 18144, 607, 513, 10196, 281, 968, 2171, 1175, 1616, 547, 917, 875, 4720, 1568, 269, 2048, 5271, 1828, 269, 1284, 616, 3425, 267, 865, 649, 1616, 547, 917, 1946, 3425, 616, 519, 1259, 649, 616, 269, 5274, 6379, 568, 2731, 20868, 267, 865, 649, 1616, 547, 1174, 1018, 602, 20868, 1145, 568, 563, 306, 532, 327, 267, 2022, 4777, 28118, 11001, 538, 7636, 7350, 543, 11976, 693, 26658, 2160, 267, 849, 29499, 593, 519, 4644, 540, 519, 4681, 267, 15663, 602, 267, 968, 7628, 1480, 26691, 267, 519, 7939, 540, 6375, 582, 16260, 3788, 513, 11015, 267, 3226, 950, 12289, 25782, 5160, 568, 4514, 982, 538, 519, 14191, 1480, 14077, 269, 898, 729, 7415, 547, 4063, 602, 936, 476, 12010, 6090, 616, 19918, 6829, 538, 1480, 6379, 269, 901, 8343, 5267, 602, 17370, 3931, 519, 9431, 9696, 540, 891, 6090, 12012, 11095, 3157, 543, 15469, 2635, 1480, 6379, 563, 2108, 14707, 3101, 4514, 267, 649, 849, 1336, 602, 891, 6090, 1185, 3964, 3252, 547, 10038, 4761, 6114, 543, 17441, 8060, 282, 585, 1383, 267, 513, 22515, 13805, 267, 18657, 2209, 540, 31785, 517, 2504, 267, 3092, 269, 4595, 22515, 568, 3812, 543, 5950, 676, 519, 2634, 267, 621, 568, 15673, 532, 547, 8263, 602, 930, 540, 891, 6090, 1522, 581, 3238, 538, 14379, 609, 519, 2634, 1282, 6379, 269, 15788, 267, 1247, 713, 1353, 568, 540, 1390, 4791, 10083, 267, 621, 849, 10741, 909, 2789, 18817, 585, 1382, 593, 519, 3993, 1922, 28127, 8818, 563, 1607, 1353, 729, 6462, 676, 14828, 689, 519, 4728, 540, 667, 1307, 9628, 9539, 2180, 13523, 5937, 8123, 2776, 3901, 12053, 3194, 4741, 543, 519, 8738, 893, 338, 8080, 8750, 2776, 3410, 17510, 19541, 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 ]
[ 540, 966, 8656, 5420, 543, 7460, 5420, 585, 519, 7020, 540, 590, 269, 28915, 17232, 807, 568, 3254, 538, 7305, 476, 272, 269, 966, 8656, 5420, 9571, 513, 3648, 3152, 1297, 540, 5439, 602, 941, 2318, 585, 590, 269, 28915, 17232, 807, 982, 1705, 7460, 5420, 609, 606, 708, 760, 523, 655, 12210, 5116, 2390, 621, 269, 634, 2078, 1063, 519, 12733, 1293, 593, 966, 8656, 5420, 543, 3811, 7020, 593, 7460, 5420, 568, 3254, 538, 7612, 476, 272, 269, 966, 8656, 5420, 729, 811, 6213, 982, 7460, 5420, 267, 3226, 950, 519, 1297, 540, 18435, 308, 8276, 299, 538, 5439, 729, 2630, 476, 11793, 563, 347, 309, 8656, 266, 1475, 11793, 1475, 15782, 513, 1475, 20720, 1475, 309, 8656, 266, 1475, 2918, 1475, 279, 513, 1475, 4097, 2008, 8448, 16087, 777, 523, 655, 15033, 12896, 24308, 536, 659, 650, 328, 941, 849, 9678, 1282, 519, 1353, 267, 4352, 789, 941, 5693, 10646, 762, 689, 590, 269, 28915, 17232, 807, 676, 741, 5920, 593, 966, 8656, 5420, 269, 20640, 344, 5991, 710, 5439, 630, 5228, 476, 1626, 2550, 264, 8057, 28342, 14137, 553, 7098, 1872, 514, 6242, 267, 543, 476, 2641, 5439, 630, 18314, 2550, 264, 8057, 8738, 330, 3835, 4997, 524, 788, 29716, 563, 1607, 1353, 8711, 519, 4824, 7020, 540, 590, 269, 28915, 17232, 807, 689, 18435, 838, 583, 636, 5439, 1210, 966, 8656, 607, 513, 16496, 5420, 269, 769, 519, 2013, 540, 18435, 838, 583, 636, 267, 519, 946, 540, 966, 8656, 5420, 29620, 1034, 12490, 540, 623, 269, 7098, 1872, 514, 6242, 267, 519, 1034, 1713, 7929, 19800, 538, 713, 3461, 1895, 269, 4014, 476, 8660, 540, 519, 5439, 630, 5228, 476, 1626, 2550, 264, 8057, 708, 760, 523, 655, 15033, 623, 269, 7098, 1872, 514, 6242, 267, 713, 11248, 729, 2653, 547, 10646, 689, 590, 269, 28915, 17232, 807, 593, 966, 8656, 5420, 676, 922, 7810, 23079, 269, 634, 2799, 8417, 540, 966, 8656, 5420, 1644, 547, 922, 2702, 547, 3713, 1970, 2338, 540, 590, 269, 28915, 17232, 807, 811, 11593, 982, 7460, 5420, 630, 7612, 476, 272, 1040, 2986, 1346, 5439, 2318, 593, 7460, 5420, 267, 476, 9834, 260, 941, 1459, 693, 21759, 476, 10755, 18435, 308, 8276, 299, 269, 4014, 519, 4791, 4644, 540, 713, 11248, 538, 18435, 568, 7334, 267, 621, 814, 1044, 2404, 609, 4791, 21324, 538, 930, 2550, 267, 3226, 952, 12523, 6414, 1836, 608, 1027, 324, 476, 11793, 18435, 308, 8276, 299, 1496, 275, 267, 278, 4940, 4634, 693, 713, 1377, 267, 7460, 5420, 8959, 547, 1332, 590, 269, 28915, 17232, 807, 689, 476, 1015, 260, 540, 5439, 602, 941, 2318, 593, 966, 8656, 5420, 630, 7612, 476, 272, 1040, 634, 2799, 8417, 540, 966, 8656, 5420, 849, 4847, 4505, 7020, 540, 590, 269, 28915, 17232, 807, 538, 3461, 5439, 269, 8422, 2550, 941, 2318, 585, 590, 269, 28915, 17232, 807, 593, 966, 8656, 5420, 585, 476, 272, 1700, 275, 3275, 1354, 519, 10072, 540, 590, 269, 28915, 17232, 807, 593, 7460, 5420, 269, 11569, 267, 2094, 519, 1439, 540, 519, 1353, 267, 519, 946, 540, 4283, 14385, 658, 16625, 954, 28193, 13618, 9696, 585, 17511, 476, 814, 9672, 602, 513, 8833, 540, 590, 269, 28915, 17232, 807, 9678, 593, 7460, 5420, 1185, 1044, 9678, 476, 274, 1296, 4505, 593, 966, 8656, 5420, 1282, 519, 1353, 1974, 269, 1452, 4681, 2303, 602, 2550, 949, 581, 32519, 585, 3275, 610, 1256, 1296, 609, 590, 269, 28915, 17232, 807, 1354, 519, 11248, 568, 9571, 609, 6671, 2528, 2409, 269, 634, 1909, 540, 590, 269, 28915, 17232, 807, 538, 519, 2067, 1686, 540, 17422, 2068, 538, 2550, 609, 18435, 3788, 3768, 17827, 269, 966, 8656, 5420, 786, 581, 513, 3407, 1907, 538, 938, 8942, 547, 1174, 519, 1909, 540, 713, 6932, 11248, 538, 18435, 269, 0, 25200, 281, 27285, 20540, 281, 27286, 1607, 1449, 5161, 540, 476, 276, 2789, 3903, 2055, 267, 476, 276, 2110, 2626, 2055, 267, 543, 476, 1015, 2110, 1557, 2055, 563, 21296, 14893, 5999, 454, 272, 269, 1548, 814, 670, 2246, 24742, 12913, 538, 834, 763, 674, 1342, 2401, 24350, 5416, 264, 670, 2246, 24742, 814, 2919, 1390, 2930, 15334, 563, 6357, 264, 670, 2246, 24742, 814, 1831, 3638, 563, 6262, 264, 670, 2246, 24742, 814, 1831, 4583, 563, 5560, 264, 670, 2246, 24742, 814, 4121, 547, 581, 6126, 563, 273, 269, 1733, 846, 2014, 1281, 519, 3057, 638, 529, 632, 9835, 9109, 22299, 888, 5416, 264, 15213, 25881, 563, 6262, 264, 634, 3943, 563, 274, 269, 1548, 5601, 1281, 519, 15669, 538, 834, 763, 8752, 940, 14339, 2494, 257, 1589, 519, 6455, 2006, 20998, 888, 275, 269, 1215, 729, 3627, 631, 1551, 20754, 888, 5416, 264, 674, 18017, 538, 519, 2782, 540, 476, 8687, 273, 563, 6357, 264, 674, 18017, 609, 31503, 563, 5560, 264, 12096, 532, 689, 513, 6928, 781, 6551, 3101, 563, 276, 269, 4208, 568, 519, 9490, 6928, 1970, 593, 14074, 888, 5416, 264, 1358, 723, 3144, 593, 3606, 15915, 563, 6357, 264, 1358, 723, 1044, 939, 531, 4364, 563, 6262, 264, 1358, 723, 1044, 4503, 563, 5560, 264, 1358, 723, 1044, 896, 13859, 563, 14112, 8382, 5999, 454, 272, 269, 1548, 1185, 670, 2246, 24742, 4503, 538, 1931, 547, 8011, 888, 273, 269, 1548, 26208, 18279, 5548, 8457, 950, 646, 1101, 12034, 5484, 17010, 24583, 7224, 781, 6928, 888, 274, 269, 1548, 1705, 13343, 3240, 14986, 723, 547, 2709, 519, 3638, 1310, 646, 4503, 1010, 19539, 888, 275, 269, 4208, 1281, 519, 15669, 540, 834, 296, 543, 3733, 932, 574, 2284, 257, 6430, 2760, 547, 4734, 1753, 888, 276, 269, 1215, 1281, 519, 15669, 538, 834, 763, 8752, 940, 14339, 2494, 257, 1745, 827, 519, 7088, 1354, 519, 6455, 2006, 21128, 888, 14112, 4828, 5999, 454, 272, 269, 1548, 1281, 9253, 6807, 2161, 568, 519, 3017, 1063, 27756, 513, 9490, 6928, 543, 10024, 513, 9490, 2777, 888, 273, 269, 1548, 1281, 519, 16403, 2284, 538, 834, 296, 543, 3733, 932, 574, 2284, 257, 1683, 585, 519, 15669, 593, 519, 2034, 13941, 888, 274, 269, 769, 834, 763, 8752, 940, 14339, 2494, 2437, 1946, 1281, 519, 15669, 27642, 547, 12161, 519, 6455, 2006, 585, 519, 5601, 18347, 29139, 753, 888, 275, 269, 4208, 798, 519, 890, 659, 4169, 593, 519, 3774, 17549, 538, 519, 1612, 3271, 3100, 547, 519, 15669, 547, 2099, 13343, 3240, 14986, 888, 276, 269, 4208, 1705, 519, 5053, 17189, 4604, 540, 14374, 693, 1101, 7947, 2694, 540, 5484, 17010, 24583, 7224, 781, 18254, 888, 277, 269, 1548, 1281, 519, 15669, 540, 834, 763, 623, 807, 3960, 320, 257, 1589, 950, 646, 1101, 12034, 513, 2582, 6505, 5544, 538, 519, 32720, 15113, 888, 278, 269, 4208, 1281, 519, 15669, 540, 834, 296, 543, 3733, 932, 574, 2284, 257, 3494, 1010, 16403, 2284, 568, 1434, 585, 1045, 531, 1749, 888, 279, 269, 1548, 568, 18279, 5548, 8457, 781, 9837, 538, 27756, 5484, 17010, 24583, 7224, 781, 6928, 888, 280, 269, 1548, 568, 519, 4137, 3650, 593, 519, 5842, 18067, 1157, 888, 1015, 269, 1215, 723, 519, 12928, 2074, 16574, 541, 4957, 267, 2687, 547, 9253, 6807, 781, 7422, 267, 538, 834, 763, 21537, 1047, 540, 645, 659, 3559, 832, 257, 888, 1607, 3296, 3568, 476, 25616, 1913, 454, 26140, 269, 476, 274, 3817, 693, 476, 4968, 1913, 829, 2985, 264, 0, 296, 976, 540, 2362, 5834, 786, 581, 28729, 26809, 563, 2690, 1383, 267, 952, 513, 12164, 290, 7728, 305, 28714, 7601, 630, 2862, 264, 17296, 3070, 568, 1031, 267, 20841, 3154, 568, 3812, 693, 519, 606, 1712, 269, 4208, 865, 286, 5221, 519, 23386, 814, 513, 2362, 5834, 540, 17296, 12274, 3379, 547, 28355, 12274, 563, 5194, 1383, 267, 952, 513, 667, 6579, 7473, 292, 7601, 630, 2862, 264, 17296, 3070, 568, 1031, 267, 5135, 3154, 568, 3812, 693, 519, 606, 1712, 269, 10281, 6918, 728, 12274, 616, 26809, 1317, 519, 5834, 540, 17296, 12274, 568, 2539, 982, 602, 540, 28355, 12274, 563, 12441, 594, 948, 286, 0, 2791, 666, 1265, 1250, 1101, 2022, 827, 519, 1433, 1934, 269, 3848, 476, 1556, 814, 513, 2603, 540, 8631, 593, 5951, 6384, 799, 594, 1336, 1360, 4277, 267, 855, 594, 4465, 1406, 10839, 689, 602, 269, 594, 7058, 596, 666, 979, 4585, 631, 1638, 518, 779, 15872, 593, 602, 1641, 952, 596, 2461, 5461, 1107, 621, 779, 513, 1747, 547, 1376, 269, 13575, 972, 779, 513, 2603, 540, 4277, 8631, 899, 713, 538, 519, 1433, 799, 568, 1175, 7543, 585, 803, 547, 3382, 1934, 630, 8117, 594, 2907, 5018, 602, 538, 519, 1101, 2022, 1040, 7102, 3118, 267, 930, 811, 8631, 689, 519, 1433, 912, 328, 269, 968, 763, 4229, 602, 3337, 5032, 338, 616, 9247, 519, 1482, 607, 1346, 602, 1106, 824, 1283, 13132, 281, 519, 16160, 3157, 540, 11761, 5665, 538, 14966, 609, 14768, 602, 3560, 543, 16005, 11935, 543, 519, 29684, 4229, 602, 2014, 10575, 3424, 610, 7449, 2064, 540, 519, 3047, 779, 12933, 3034, 4512, 269, 968, 763, 6129, 267, 1498, 1454, 20991, 2476, 1496, 22474, 519, 7599, 3910, 814, 865, 1454, 811, 2527, 602, 621, 267, 1932, 267, 3123, 29500, 269, 634, 6129, 29500, 616, 513, 2370, 1447, 982, 3368, 519, 4463, 540, 9855, 29500, 269, 634, 1079, 5036, 540, 29500, 616, 711, 15222, 748, 269, 8409, 1644, 547, 519, 6129, 2097, 1169, 476, 2190, 3108, 267, 2899, 1142, 968, 338, 6897, 892, 1554, 269, 634, 942, 540, 10047, 540, 519, 3047, 609, 2463, 547, 519, 9855, 568, 513, 2370, 3476, 982, 519, 3859, 1554, 1107, 476, 2190, 3108, 543, 476, 2004, 3764, 267, 1317, 519, 9855, 568, 3001, 1472, 519, 3047, 269, 769, 602, 476, 2190, 3108, 543, 476, 2004, 3764, 267, 519, 968, 331, 12762, 1554, 5608, 972, 616, 1079, 1164, 7297, 267, 609, 1079, 1970, 7297, 538, 1063, 563, 2691, 519, 9855, 267, 3047, 543, 6129, 1899, 909, 267, 519, 5916, 14965, 7485, 540, 6129, 543, 9855, 12927, 1142, 824, 543, 3132, 1360, 1164, 29500, 267, 519, 5614, 29500, 31218, 6270, 1164, 29500, 2097, 1169, 1079, 4374, 693, 2407, 543, 1007, 9855, 269, 634, 9803, 29500, 267, 519, 683, 777, 29500, 267, 2097, 1063, 267, 693, 1101, 268, 543, 3791, 10116, 7720, 976, 267, 950, 519, 9855, 543, 6129, 616, 693, 1318, 7285, 547, 1142, 824, 609, 2463, 547, 519, 3047, 563, 763, 1657, 2272, 6257, 519, 11466, 20352, 267, 602, 568, 267, 835, 602, 568, 27985, 7229, 585, 513, 7833, 8608, 269, 634, 15627, 540, 519, 4890, 29500, 616, 1360, 1114, 538, 1585, 2694, 540, 519, 12084, 269, 5221, 519, 12084, 616, 540, 1585, 5546, 543, 7306, 267, 519, 1216, 540, 519, 20352, 20781, 538, 1950, 2081, 3034, 13839, 269, 13966, 13719, 5032, 338, 267, 23864, 5322, 2285, 909, 1648, 998, 11508, 540, 519, 1216, 609, 519, 4262, 6989, 1765, 24479, 602, 1590, 6038, 2097, 689, 519, 10047, 540, 519, 3047, 543, 519, 9855, 269, 2334, 535, 2774, 1308, 2530, 568, 2614, 547, 3500, 519, 10047, 540, 519, 3047, 676, 513, 1360, 1507, 2179, 269, 31218, 634, 3047, 1590, 2899, 723, 1044, 15914, 1454, 5488, 267, 1498, 519, 942, 540, 922, 4838, 1472, 519, 6129, 729, 19448, 26327, 269, 634, 9855, 779, 2557, 540, 4838, 1472, 519, 3047, 1131, 849, 723, 1044, 5488, 267, 543, 519, 9855, 1131, 723, 1044, 6251, 547, 519, 3047, 269, 2334, 1797, 602, 519, 29500, 1131, 3622, 723, 1044, 1454, 2362, 267, 602, 972, 941, 1082, 811, 2395, 538, 513, 1032, 267, 543, 602, 519, 2395, 941, 10156, 269, 31218, 5516, 995, 10203, 540, 31218, 6106, 538, 8093, 27712, 814, 18617, 1082, 12779, 2632, 5505, 602, 267, 476, 6110, 2929, 1296, 3516, 267, 972, 941, 5176, 476, 6110, 2395, 538, 513, 1032, 3034, 643, 269, 968, 763, 2627, 14768, 540, 519, 12084, 666, 581, 16866, 883, 513, 4806, 540, 1804, 6806, 17787, 267, 1572, 14934, 637, 31218, 634, 12798, 13822, 519, 3119, 6117, 7271, 585, 519, 2627, 14768, 540, 519, 5836, 269, 20965, 763, 2627, 7297, 616, 3636, 2282, 519, 20337, 1765, 19925, 476, 1839, 9180, 610, 15911, 1765, 6112, 1346, 538, 519, 11848, 543, 21303, 616, 3833, 4411, 1765, 12671, 476, 271, 9180, 610, 513, 2370, 1657, 269, 5221, 4411, 1216, 568, 16437, 518, 982, 3636, 267, 519, 8701, 7297, 4043, 547, 16173, 543, 13472, 2059, 519, 12765, 558, 4724, 519, 20337, 31218, 1306, 789, 798, 267, 789, 7903, 538, 4395, 540, 873, 519, 4514, 7297, 267, 799, 4043, 547, 4473, 2282, 519, 20337, 267, 1373, 19774, 689, 1312, 8846, 269, 31218, 5221, 519, 10053, 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 ]
[ 1281, 586, 267, 543, 950, 1535, 11081, 267, 586, 849, 11081, 269, 8641, 1227, 267, 513, 2318, 9386, 1797, 602, 607, 513, 1899, 593, 519, 1899, 3113, 7575, 689, 2451, 547, 1318, 267, 519, 1899, 14380, 780, 3725, 548, 730, 692, 29613, 531, 3154, 3830, 609, 5860, 692, 1432, 568, 519, 5860, 540, 606, 4998, 3154, 286, 634, 2165, 4998, 3154, 4016, 547, 513, 19858, 3154, 7768, 540, 6675, 799, 1246, 513, 1906, 3652, 281, 26758, 3154, 6675, 798, 711, 4482, 610, 1065, 601, 1142, 824, 269, 634, 1152, 5872, 1063, 4998, 3154, 6675, 1131, 581, 606, 13412, 16580, 2390, 1764, 609, 1142, 824, 610, 606, 13412, 15431, 6540, 13420, 566, 585, 9991, 1843, 692, 1432, 568, 519, 3830, 585, 1863, 2887, 286, 5131, 2887, 1797, 602, 606, 1843, 568, 9991, 11884, 609, 1100, 4229, 9117, 2390, 621, 4849, 8904, 267, 513, 3989, 3586, 267, 575, 815, 910, 280, 269, 279, 544, 4882, 273, 269, 634, 3845, 519, 1843, 8813, 267, 610, 4463, 267, 554, 267, 568, 476, 272, 270, 273, 8904, 1535, 519, 4009, 540, 519, 942, 9991, 269, 20653, 6290, 568, 3989, 607, 8904, 1535, 31218, 0, 8794, 5276, 5752, 547, 4194, 15768, 2042, 692, 303, 19948, 593, 6249, 281, 834, 8794, 5276, 5752, 547, 4194, 15768, 2042, 257, 1765, 19809, 13973, 1384, 8794, 5276, 5752, 547, 4194, 15768, 2042, 454, 18204, 518, 14691, 4635, 5276, 5752, 547, 4194, 15768, 2042, 692, 306, 6295, 2598, 4740, 10819, 454, 30791, 5752, 31758, 6024, 1966, 2443, 2889, 21793, 936, 519, 556, 320, 296, 2338, 269, 1280, 519, 14230, 540, 519, 1576, 649, 786, 1413, 693, 875, 547, 4194, 2042, 538, 799, 4632, 1590, 1491, 15768, 2418, 2443, 2889, 21793, 936, 519, 9981, 269, 2598, 4740, 2042, 616, 9875, 982, 6024, 2042, 269, 1284, 2907, 4718, 281, 5685, 924, 23792, 31666, 566, 1284, 786, 1413, 693, 8416, 10046, 10819, 6715, 518, 14691, 29491, 9045, 529, 325, 6636, 10871, 9612, 692, 300, 12089, 6715, 518, 14691, 630, 300, 7709, 994, 1607, 3018, 649, 786, 1413, 693, 7756, 5686, 540, 631, 7709, 3292, 3525, 2454, 609, 631, 7709, 10613, 585, 6061, 631, 7709, 2042, 25032, 1299, 21940, 28981, 1773, 2033, 25032, 1299, 12338, 692, 26594, 7151, 267, 20460, 1243, 454, 3725, 29264, 938, 1383, 585, 2504, 1544, 11938, 269, 901, 942, 649, 8263, 602, 645, 6763, 585, 968, 9349, 27418, 5608, 595, 585, 968, 2419, 4202, 5608, 667, 585, 968, 5327, 802, 6100, 634, 19993, 3070, 585, 713, 1966, 729, 547, 3132, 476, 278, 1433, 322, 1162, 543, 476, 277, 964, 802, 780, 18204, 518, 10819, 3767, 8263, 930, 14170, 1131, 723, 1044, 5594, 1114, 269, 1280, 1383, 267, 1142, 1433, 13826, 2115, 476, 272, 269, 276, 4559, 540, 4074, 780, 18204, 518, 10819, 1284, 4019, 11822, 343, 543, 3489, 519, 3803, 3349, 879, 454, 345, 2652, 521, 314, 331, 316, 521, 314, 332, 316, 1535, 314, 322, 316, 521, 314, 325, 316, 2652, 476, 1015, 1341, 521, 314, 332, 316, 910, 1535, 314, 322, 316, 1535, 314, 323, 316, 2652, 521, 314, 331, 316, 521, 314, 332, 316, 1535, 314, 322, 316, 1535, 314, 321, 316, 2652, 521, 314, 331, 316, 521, 314, 332, 316, 1535, 314, 322, 316, 901, 2306, 2370, 2631, 607, 513, 3070, 267, 2094, 649, 666, 15991, 5478, 476, 275, 269, 29900, 964, 802, 630, 16673, 2041, 649, 666, 267, 855, 945, 1131, 4444, 540, 873, 1040, 634, 1966, 602, 649, 616, 6849, 568, 602, 649, 991, 519, 1966, 4632, 547, 8263, 8870, 2418, 585, 513, 15164, 3070, 269, 6270, 2042, 616, 1572, 8870, 5752, 2042, 780, 12218, 525, 540, 26659, 10819, 454, 684, 6247, 11712, 28653, 3267, 5276, 1875, 31059, 1483, 29705, 4240, 8870, 13392, 3267, 27250, 18204, 518, 14691, 10819, 692, 1862, 1492, 3983, 3377, 6715, 518, 5276, 2042, 616, 3648, 9875, 547, 4194, 982, 5276, 2042, 593, 556, 1023, 269, 3143, 2489, 5690, 568, 1634, 602, 2636, 547, 11126, 513, 3070, 676, 2047, 3001, 689, 513, 15164, 3070, 547, 606, 4824, 15164, 3070, 269, 769, 1249, 267, 8870, 5276, 5752, 568, 1634, 547, 581, 26128, 10687, 10968, 269, 3267, 898, 4667, 2653, 547, 25666, 513, 570, 9915, 607, 606, 7379, 2507, 692, 4811, 303, 607, 606, 6715, 518, 5358, 454, 3674, 713, 2953, 11631, 634, 10148, 2327, 1142, 2749, 568, 6603, 543, 2451, 1284, 849, 991, 547, 2327, 602, 972, 616, 1100, 1016, 2389, 2293, 267, 552, 3052, 7102, 1016, 2389, 712, 602, 1281, 711, 2270, 2749, 476, 272, 786, 3111, 713, 23061, 692, 300, 12089, 6715, 518, 14691, 630, 300, 7709, 264, 10819, 692, 271, 268, 272, 6715, 518, 10819, 1452, 616, 849, 1572, 23030, 6715, 518, 14691, 630, 289, 7709, 264, 2042, 692, 9556, 2454, 538, 631, 7709, 20491, 3173, 723, 2919, 513, 1804, 1297, 540, 15931, 2553, 585, 20592, 2042, 602, 1413, 1875, 31059, 607, 631, 7709, 2042, 269, 3509, 540, 519, 15361, 7048, 593, 519, 946, 540, 476, 271, 268, 272, 4632, 547, 2203, 513, 9352, 3903, 780, 9556, 2454, 2107, 4790, 571, 6493, 454, 2414, 2203, 1079, 10148, 540, 799, 693, 2547, 835, 1590, 581, 13854, 630, 325, 610, 575, 264, 2422, 513, 476, 271, 268, 272, 4756, 586, 543, 6963, 3634, 607, 1141, 631, 568, 513, 18481, 1804, 1297, 692, 9556, 2454, 918, 856, 540, 715, 4790, 571, 6493, 15579, 454, 19865, 281, 1215, 666, 649, 2203, 602, 918, 856, 540, 519, 1739, 715, 10148, 3180, 29130, 513, 476, 271, 268, 272, 4756, 586, 328, 585, 1142, 23061, 269, 25166, 1679, 547, 535, 328, 682, 631, 630, 272, 3917, 328, 264, 543, 2040, 586, 328, 815, 918, 692, 2252, 3973, 4790, 571, 6493, 1677, 2203, 606, 952, 2389, 1156, 6935, 1063, 1079, 10148, 630, 288, 18092, 289, 264, 31962, 602, 589, 18092, 645, 568, 6697, 547, 630, 2254, 589, 264, 610, 645, 269, 2422, 513, 476, 271, 268, 272, 4756, 586, 630, 344, 284, 271, 952, 535, 568, 3020, 264, 543, 6963, 3634, 607, 7316, 631, 568, 513, 18481, 1804, 1297, 692, 303, 19991, 3772, 12430, 12793, 454, 2414, 2203, 513, 4062, 3772, 5276, 1599, 2736, 621, 883, 5276, 12415, 267, 2203, 519, 5094, 12415, 267, 968, 7798, 892, 519, 12415, 609, 606, 3606, 23061, 536, 272, 536, 273, 630, 19874, 9557, 2020, 9556, 2454, 623, 19991, 3772, 12430, 12793, 454, 263, 272, 264, 5372, 535, 3287, 264, 2429, 519, 1966, 676, 535, 543, 1039, 513, 23061, 630, 273, 264, 1039, 513, 23061, 585, 1535, 630, 274, 264, 1039, 519, 1739, 10148, 1452, 10148, 2327, 602, 1152, 1079, 30240, 1990, 779, 666, 723, 1990, 328, 3436, 271, 543, 1590, 1039, 909, 547, 476, 272, 18092, 713, 3631, 519, 4062, 3772, 31992, 692, 9556, 2454, 7379, 607, 476, 271, 268, 272, 18204, 518, 9046, 454, 12179, 7379, 1966, 666, 581, 1110, 8215, 607, 513, 476, 271, 268, 272, 6715, 518, 9046, 11644, 281, 1215, 286, 2913, 562, 581, 519, 10545, 8870, 521, 6745, 269, 1535, 2999, 476, 273, 18898, 266, 272, 269, 3973, 2203, 1535, 815, 579, 5332, 476, 273, 18898, 1341, 2560, 266, 579, 318, 272, 476, 272, 269, 29799, 1535, 676, 713, 4082, 538, 519, 2203, 780, 300, 7709, 3525, 2454, 538, 22387, 313, 4532, 454, 2791, 666, 2196, 513, 631, 7709, 24626, 593, 22387, 313, 4532, 3631, 1210, 544, 345, 333, 1107, 321, 544, 760, 2203, 6230, 345, 333, 901, 17648, 602, 519, 10148, 616, 782, 5276, 269, 769, 1931, 547, 3927, 946, 513, 631, 7709, 24626, 649, 1590, 1451, 875, 547, 2203, 1919, 609, 5276, 10148, 780, 22517, 18978, 3525, 2454, 538, 22387, 313, 4532, 454, 22517, 18978, 10148, 616, 1110, 8215, 1210, 476, 271, 907, 272, 9981, 543, 5276, 10148, 281, 536, 272, 815, 630, 321, 273, 3980, 357, 536, 274, 264, 536, 272, 13843, 536, 273, 1315, 315, 536, 272, 13843, 536, 274, 1315, 315, 536, 273, 1341, 536, 274, 13843, 536, 272, 536, 272, 815, 630, 321, 273, 31961, 536, 274, 264, 536, 273, 13843, 536, 272, 1315, 315, 536, 274, 13843, 536, 272, 1315, 315, 536, 272, 266, 272, 13843, 536, 273, 17070, 274, 536, 272, 815, 630, 321, 273, 9847, 536, 274, 264, 536, 272, 13843, 476, 272, 910, 536, 273, 1315, 315, 536, 272, 13843, 536, 274, 1315, 315, 476, 272, 1532, 273, 1341, 536, 274, 13843, 536, 272, 7726, 281, 875, 798, 596, 2203, 536, 273, 3980, 357, 536, 274, 2496, 3725, 1881, 7412, 1513, 538, 631, 7709, 31962, 602, 1535, 272, 10922, 1535, 273, 1422, 270, 1535, 272, 10922, 1535, 274, 3587, 454, 321, 272, 17986, 367, 1535, 272, 10922, 1535, 273, 1315, 315, 536, 273, 17986, 367, 1535, 272, 10922, 1535, 274, 1315, 315, 630, 321, 272, 1422, 270, 536, 273, 264, 536, 17986, 367, 2040, 9217, 538, 476, 272, 907, 333, 7565, 320, 5157, 30297, 343, 5157, 8079, 10922, 524, 2913, 561, 815, 2040, 9217, 538, 476, 272, 907, 333, 7565, 331, 321, 5416, 5157, 30297, 343, 5157, 316, 4297, 2913, 579, 815, 2040, 9217, 538, 476, 272, 907, 333, 7565, 889, 5416, 5157, 30297, 343, 5157, 316, 4297, 1879, 536, 568, 3020, 630, 272, 264, 3196, 519, 13546, 336, 547, 3180, 2040, 9217, 538, 476, 272, 907, 333, 7565, 320, 5157, 30297, 343, 5157, 8079, 10922, 579, 1341, 536, 16732, 322, 1107, 579, 264, 1879, 536, 568, 7301, 630, 271, 264, 3196, 9258, 547, 3180, 2040, 9217, 538, 476, 272, 907, 333, 7565, 320, 5157, 30297, 343, 5157, 8079, 13843, 524, 266, 272, 266, 536, 16732, 331, 2275, 1700, 272, 2020, 9556, 2454, 6779, 638, 1275, 454, 343, 11203, 586, 7790, 11631, 286, 7844, 1535, 11971, 4632, 607, 4425, 1961, 753, 630, 343, 815, 546, 264, 15254, 476, 272, 907, 333, 281, 343, 5044, 314, 272, 907, 333, 316, 540, 15254, 476, 271, 907, 272, 281, 343, 323, 282, 23061, 2040, 9217, 538, 476, 272, 907, 333, 7565, 328, 20080, 323, 5157, 8079, 815, 1535, 282, 23061, 2040, 9217, 538, 476, 272, 907, 333, 7565, 343, 323, 5157, 8079, 815, 476, 272, 282, 3767, 649, 666, 2203, 1669, 638, 1275, 23061, 585, 718, 9217, 538, 476, 272, 907, 333, 7565, 1535, 323, 5157, 316, 1341, 586, 323, 5157, 316, 10922, 476, 272, 5148, 2060, 891, 476, 271, 907, 272, 4632, 649, 666, 2203, 1082, 1919, 692, 9556, 2454, 27100, 3693, 9217, 267, 1496, 320, 272, 267, 2560, 267, 606, 3910, 1535, 264, 17986, 367, 1535, 815, 513, 328, 454, 328, 815, 795, 9847, 1535, 815, 513, 329, 5044, 314, 272, 907, 333, 316, 540, 15254, 476, 271, 907, 272, 281, 573, 282, 23061, 1535, 815, 2040, 27203, 538, 476, 272, 907, 333, 7565, 573, 14728, 316, 2608, 513, 329, 32007, 19865, 281, 3525, 2454, 620, 671, 27075, 454, 1692, 666, 596, 2203, 5044, 314, 272, 907, 333, 316, 540, 15254, 476, 272, 907, 332, 281, 1535, 282, 23061, 620, 671, 27075, 3287, 5148, 1210, 1152, 5276, 10148, 2496, 300, 12089, 6715, 518, 14691, 630, 300, 7709, 994, 1607, 3018, 649, 786, 1413, 693, 7756, 5686, 540, 631, 7709, 3292, 3525, 2454, 609, 631, 7709, 10613, 585, 6061, 631, 7709, 2042, 692, 30791, 4039, 1314, 566, 3193, 476, 2641, 343, 266, 1556, 344, 521, 6745, 269, 476, 278, 343, 266, 275, 344, 27045, 1724, 19993, 454, 763, 1101, 2856, 1522, 581, 547, 2119, 24263, 540, 519, 6099, 27847, 3070, 269, 634, 7222, 1966, 538, 799, 519, 4632, 616, 711, 2838, 547, 1491, 8870, 2418, 568, 1572, 519, 5276, 11005, 269, 1306, 519, 1657, 1383, 18327, 267, 713, 3112, 581, 16798, 547, 960, 281, 630, 273, 270, 271, 264, 568, 1102, 29342, 1043, 630, 272, 270, 271, 264, 568, 15164, 267, 855, 711, 6099, 692, 306, 6295, 631, 7709, 10819, 9046, 281, 12430, 4039, 1314, 566, 1281, 711, 960, 454, 25332, 3569, 281, 630, 272, 264, 2353, 15164, 2798, 585, 631, 7709, 616, 849, 15164, 585, 519, 11005, 630, 273, 264, 1403, 519, 19993, 540, 519, 11005, 568, 8870, 29705, 4240, 267, 621, 849, 568, 519, 3070, 540, 519, 3312, 631, 7709, 269, 22830, 281, 2037, 636, 4733, 519, 15164, 2798, 540, 519, 17159, 1966, 7420, 281, 901, 1590, 581, 2944, 15931, 569, 267, 2094, 519, 1297, 540, 15164, 2798, 949, 581, 5458, 269, 10613, 281, 1759, 593, 14578, 6061, 4824, 6001, 725, 630, 5976, 2241, 343, 264, 25032, 1299, 21940, 281, 10943, 1080, 519, 3406, 2230, 883, 1016, 3491, 21793, 28981, 1773, 2033, 281, 18788, 1875, 10784, 1122, 518, 19993, 338, 25032, 1299, 12338, 281, 8237, 1299, 4894, 1875, 10784, 1122, 518, 19993, 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 ]
[ 2110, 1650, 538, 1894, 547, 2250, 1686, 1317, 540, 519, 2318, 2360, 621, 19443, 3142, 827, 585, 21031, 563, 1607, 1650, 729, 2965, 7768, 1282, 519, 1576, 540, 606, 4316, 1141, 6690, 1028, 550, 729, 2965, 10355, 5219, 543, 849, 2021, 941, 2965, 10970, 7007, 1016, 20598, 547, 16921, 269, 901, 2272, 10525, 519, 6370, 2021, 10876, 14376, 14621, 547, 1373, 4862, 543, 849, 15197, 269, 898, 568, 4105, 547, 3314, 875, 2484, 21031, 723, 5949, 2016, 602, 968, 763, 14117, 9931, 17549, 892, 729, 2813, 269, 25392, 602, 713, 1353, 729, 2965, 2813, 8951, 723, 6591, 1454, 540, 519, 2924, 602, 9038, 723, 2965, 1185, 585, 1296, 1354, 519, 1603, 540, 968, 763, 14117, 880, 9931, 17549, 892, 2705, 972, 616, 2965, 1869, 1454, 811, 5195, 547, 979, 1354, 6690, 543, 849, 2367, 616, 7357, 9838, 269, 0, 2026, 513, 7401, 1544, 614, 267, 717, 2465, 729, 851, 540, 513, 3810, 9565, 1895, 540, 3703, 2244, 14935, 1360, 2673, 547, 519, 5207, 2157, 540, 21621, 1379, 563, 306, 3019, 1310, 3127, 781, 14412, 267, 717, 2465, 729, 835, 540, 519, 1101, 547, 2708, 519, 6937, 547, 13155, 2249, 543, 7291, 5726, 3800, 547, 2149, 873, 269, 1261, 5156, 12418, 1185, 1100, 1747, 538, 513, 25113, 543, 2219, 789, 1131, 513, 709, 572, 513, 2631, 540, 9983, 267, 29359, 267, 543, 2847, 13955, 538, 14666, 945, 1185, 2097, 3168, 585, 3552, 2831, 563, 12024, 1010, 29629, 2456, 267, 6428, 574, 18498, 543, 631, 269, 25421, 22974, 267, 717, 2465, 729, 513, 1875, 27984, 24810, 4759, 540, 519, 4095, 8274, 585, 13812, 267, 519, 30085, 1560, 602, 1443, 2478, 519, 5742, 6554, 593, 7320, 6927, 269, 717, 2465, 11130, 538, 12797, 540, 5094, 7320, 20758, 839, 1369, 519, 11206, 4972, 267, 945, 723, 1808, 7060, 538, 6935, 547, 21426, 269, 1261, 5206, 14916, 593, 519, 1909, 540, 4104, 619, 607, 2149, 832, 540, 7320, 267, 607, 646, 2219, 621, 1271, 547, 7048, 593, 741, 1434, 15884, 269, 1261, 5156, 5726, 1967, 31030, 593, 9316, 1063, 4104, 619, 543, 519, 4104, 26110, 540, 1142, 1533, 543, 602, 519, 1909, 540, 519, 3844, 2229, 729, 1152, 547, 18973, 543, 4217, 269, 0, 7212, 1715, 670, 13273, 1705, 711, 1020, 883, 513, 7986, 543, 3811, 12733, 267, 621, 3459, 607, 513, 1360, 6896, 543, 1134, 1790, 10517, 1563, 23072, 269, 634, 13896, 1101, 3357, 1927, 538, 476, 14321, 278, 950, 3627, 5096, 523, 1636, 267, 513, 2250, 528, 30201, 3176, 676, 1312, 519, 2296, 543, 519, 10656, 1813, 547, 1010, 9097, 1625, 11939, 4978, 267, 6038, 3357, 547, 519, 3932, 602, 519, 6099, 1576, 540, 2962, 1131, 581, 547, 25176, 547, 519, 1715, 2622, 630, 272, 267, 598, 333, 519, 1433, 30127, 269, 476, 5325, 1040, 5096, 523, 1636, 1032, 2740, 547, 11654, 1010, 4978, 12341, 1010, 2093, 1131, 581, 7608, 267, 543, 6616, 602, 1082, 941, 6236, 519, 1482, 1576, 540, 2962, 538, 4789, 267, 646, 25945, 513, 1895, 540, 8830, 11939, 3885, 538, 4789, 945, 941, 1312, 1821, 719, 569, 3909, 267, 2943, 849, 941, 5059, 593, 1818, 2724, 269, 634, 1895, 540, 476, 4335, 1004, 602, 646, 5555, 2813, 15538, 5631, 540, 14547, 21471, 1362, 3885, 945, 5551, 547, 2259, 741, 4984, 11884, 267, 1247, 4509, 741, 6899, 6197, 630, 1691, 267, 519, 1650, 540, 598, 333, 269, 623, 326, 269, 476, 1911, 1040, 4495, 3627, 5096, 523, 1636, 1185, 10356, 513, 1895, 540, 13896, 945, 3838, 519, 1482, 3853, 543, 4978, 267, 646, 554, 2483, 1862, 1647, 540, 1957, 4429, 7468, 1550, 267, 20913, 661, 269, 834, 301, 11246, 670, 16787, 2894, 23333, 2177, 312, 1701, 769, 9218, 540, 1977, 3778, 267, 476, 6795, 268, 2568, 269, 476, 274, 6113, 1196, 269, 5292, 269, 476, 277, 269, 12924, 267, 12924, 281, 8176, 2480, 1026, 1676, 781, 25860, 267, 476, 1220, 274, 563, 4537, 3861, 267, 681, 269, 645, 1515, 323, 269, 3627, 5096, 523, 1636, 269, 5291, 2517, 20931, 4732, 531, 11391, 816, 2593, 270, 8742, 270, 21459, 270, 1015, 269, 18357, 272, 270, 12283, 1704, 318, 15150, 6200, 2568, 273, 273, 286, 2181, 341, 15507, 284, 2908, 260, 273, 289, 6409, 523, 261, 14142, 14532, 7659, 284, 261, 638, 2044, 295, 1662, 284, 10441, 279, 20623, 10019, 576, 325, 274, 320, 1030, 321, 4905, 320, 280, 322, 277, 320, 274, 324, 5379, 323, 11152, 320, 273, 563, 13750, 540, 1715, 24900, 269, 834, 288, 16684, 3778, 540, 1715, 24900, 1701, 1715, 24900, 269, 7831, 9168, 476, 1001, 272, 269, 21700, 4728, 476, 2420, 267, 476, 1001, 275, 269, 5291, 2517, 4178, 8542, 327, 10993, 14672, 327, 16769, 270, 20931, 11258, 563, 310, 11596, 267, 570, 269, 674, 269, 834, 23325, 16572, 1701, 769, 12052, 18329, 15610, 269, 476, 277, 628, 1196, 269, 715, 4877, 12727, 12052, 2160, 4964, 267, 476, 3422, 273, 563, 17147, 1765, 269, 834, 11990, 12736, 6605, 267, 476, 8182, 277, 1700, 10602, 267, 20616, 17135, 538, 3013, 1701, 769, 12052, 18329, 15610, 269, 476, 277, 628, 1196, 269, 715, 4877, 12727, 12052, 2160, 4964, 267, 476, 3422, 273, 563, 17147, 1765, 269, 834, 763, 17232, 639, 16202, 517, 1701, 769, 12052, 18329, 15610, 269, 476, 277, 628, 1196, 269, 715, 4877, 12727, 12052, 2160, 4964, 267, 476, 3422, 273, 563, 23921, 5675, 6435, 888, 7476, 5955, 593, 8239, 267, 9355, 267, 6677, 1707, 543, 7954, 14678, 5861, 515, 1188, 707, 1957, 19314, 268, 634, 6760, 538, 1715, 670, 13273, 267, 21086, 814, 5280, 621, 7118, 519, 8956, 540, 1373, 835, 540, 3013, 779, 1034, 5906, 4872, 269, 898, 568, 519, 2034, 4102, 2749, 538, 21086, 267, 855, 16034, 519, 5207, 538, 10795, 6760, 543, 2034, 538, 3959, 6760, 607, 540, 476, 1001, 275, 538, 519, 1533, 269, 1715, 670, 13273, 568, 849, 1753, 547, 835, 540, 519, 1034, 20380, 5238, 540, 2362, 1565, 267, 23171, 269, 4635, 1239, 689, 519, 2136, 2276, 17227, 13163, 267, 1715, 670, 13273, 779, 6710, 2557, 568, 3592, 476, 272, 269, 276, 2053, 602, 540, 519, 4182, 693, 476, 2918, 269, 279, 2600, 269, 630, 4785, 290, 289, 264, 4340, 547, 519, 8549, 13163, 540, 15766, 725, 685, 31538, 17235, 7797, 630, 1001, 275, 1070, 1715, 670, 13273, 779, 10795, 6760, 2557, 568, 476, 26951, 269, 276, 829, 476, 1911, 267, 1822, 1004, 267, 799, 568, 711, 602, 1454, 1447, 982, 519, 3084, 2557, 540, 476, 28178, 269, 1704, 2807, 1496, 15912, 281, 17235, 267, 595, 3234, 11659, 267, 1133, 655, 7877, 267, 24770, 2639, 15150, 275, 1913, 630, 275, 269, 275, 3817, 994, 268, 3683, 519, 2250, 1906, 1296, 267, 513, 1713, 1297, 540, 519, 3214, 723, 1044, 19481, 538, 519, 10754, 267, 543, 789, 723, 1044, 2404, 609, 2799, 6760, 2665, 269, 634, 1153, 13102, 538, 519, 1533, 540, 21086, 723, 4857, 3833, 513, 1297, 540, 1053, 29595, 1472, 519, 2749, 779, 10754, 1310, 1153, 269, 634, 1715, 670, 13273, 10754, 711, 1152, 17663, 540, 7329, 548, 1053, 1310, 1153, 267, 855, 849, 1453, 945, 723, 12628, 856, 540, 1153, 269, 901, 1957, 22851, 538, 513, 3102, 4901, 593, 519, 1297, 540, 1453, 538, 519, 10754, 540, 1715, 670, 13273, 607, 1134, 607, 930, 540, 519, 6069, 3292, 5921, 547, 1832, 873, 1055, 519, 10754, 2807, 1496, 15912, 281, 4400, 1153, 267, 5441, 267, 634, 6790, 1115, 267, 17235, 2639, 15150, 271, 1913, 630, 275, 269, 275, 3817, 994, 268, 634, 5062, 27908, 534, 16644, 32713, 2203, 5161, 540, 2185, 2609, 602, 616, 2556, 547, 6218, 513, 2631, 540, 2146, 269, 1358, 616, 22524, 8817, 543, 782, 2291, 593, 930, 1377, 2436, 9797, 610, 11874, 269, 1452, 2185, 2609, 616, 15376, 267, 3310, 267, 5610, 267, 543, 3929, 4276, 269, 2755, 930, 540, 891, 949, 581, 811, 12880, 267, 789, 616, 782, 20334, 547, 513, 5626, 2631, 540, 2146, 269, 1677, 1683, 606, 1383, 540, 875, 519, 5062, 27908, 534, 16644, 32713, 2203, 568, 4294, 547, 513, 2146, 4259, 602, 835, 12851, 547, 267, 519, 2160, 540, 1715, 670, 13273, 7991, 10017, 10927, 1982, 786, 581, 519, 2146, 540, 3498, 2807, 1496, 15912, 281, 32313, 267, 10017, 267, 11930, 6530, 2639, 280, 8064, 1913, 630, 273, 269, 279, 3817, 994, 268, 769, 476, 1220, 274, 519, 1715, 670, 13273, 9605, 4972, 5342, 513, 13319, 1449, 585, 9114, 9790, 1218, 543, 3061, 1622, 269, 1677, 519, 10982, 599, 540, 519, 1449, 512, 5474, 267, 519, 1449, 729, 2731, 2182, 543, 519, 2164, 540, 519, 1449, 8604, 547, 5302, 26021, 519, 7292, 2146, 540, 519, 23001, 16146, 269, 1879, 519, 2164, 941, 9763, 676, 519, 6406, 6796, 8274, 543, 789, 7691, 1152, 835, 17104, 543, 4642, 3979, 31787, 1131, 2744, 519, 13319, 9634, 267, 789, 4956, 711, 547, 19472, 519, 1449, 2164, 585, 4250, 540, 513, 1876, 9290, 689, 519, 18441, 269, 22388, 547, 741, 4555, 519, 3043, 3260, 762, 1449, 512, 5474, 267, 945, 1705, 1780, 519, 1449, 543, 941, 6743, 936, 267, 647, 539, 593, 519, 12406, 540, 19635, 2126, 2807, 1496, 15912, 281, 8865, 5530, 267, 3070, 2639, 16328, 273, 1913, 630, 274, 269, 279, 3817, 994, 6124, 670, 13273, 267, 21086, 21278, 1763, 7808, 7896, 1280, 20661, 267, 1763, 7808, 1656, 25477, 7896, 454, 268, 5484, 6409, 523, 14119, 730, 568, 513, 18758, 3919, 609, 4557, 6753, 538, 3152, 1715, 670, 13273, 267, 21086, 3246, 10821, 2533, 585, 1153, 27070, 1453, 267, 10821, 543, 7694, 2533, 585, 4079, 267, 543, 538, 25571, 1489, 547, 3885, 609, 16981, 1453, 269, 5484, 6409, 523, 5549, 1421, 3323, 5484, 6409, 523, 779, 4804, 8416, 630, 13993, 301, 264, 607, 513, 585, 17416, 17874, 6498, 538, 476, 1220, 273, 547, 1683, 1857, 3506, 6351, 543, 2866, 538, 7231, 609, 741, 26144, 1053, 269, 769, 519, 3312, 1870, 1544, 267, 19154, 301, 17019, 1651, 573, 1878, 540, 10295, 538, 21086, 1453, 729, 3395, 543, 3747, 11478, 585, 2533, 2807, 1496, 15912, 281, 5004, 267, 8274, 540, 19971, 2639, 8182, 271, 1913, 630, 275, 269, 277, 3817, 994, 268, 21864, 4058, 1705, 4986, 855, 17225, 15272, 670, 13273, 689, 1818, 811, 7443, 267, 5329, 9520, 6126, 267, 543, 9363, 593, 5692, 269, 898, 729, 711, 519, 1655, 2359, 4480, 585, 15272, 670, 13273, 269, 4595, 789, 1185, 513, 17211, 540, 1269, 736, 267, 1822, 267, 594, 3494, 789, 1058, 711, 723, 16080, 712, 1027, 547, 513, 3791, 18407, 585, 513, 13927, 269, 5221, 540, 713, 741, 7616, 4797, 547, 1205, 5051, 512, 7660, 269, 1358, 1869, 1185, 513, 17211, 543, 952, 789, 666, 711, 1832, 741, 9520, 6126, 267, 789, 616, 2469, 547, 4734, 1932, 269, 21864, 4058, 1058, 581, 1031, 607, 513, 19480, 22454, 1031, 547, 6218, 2754, 3609, 543, 5692, 12802, 2807, 1496, 15912, 281, 5004, 267, 6348, 17416, 3919, 2639, 9032, 275, 1913, 630, 273, 269, 279, 3817, 994, 268, 15822, 670, 13273, 281, 519, 3209, 634, 2278, 281, 22956, 590, 1706, 802, 22956, 590, 1706, 802, 729, 4535, 593, 5412, 476, 4029, 267, 476, 3422, 276, 538, 15345, 21036, 267, 27228, 543, 1568, 607, 2278, 267, 5496, 23116, 543, 16073, 269, 1261, 568, 4535, 607, 519, 1647, 540, 1614, 1453, 269, 3571, 4587, 7015, 568, 1572, 7812, 543, 1010, 7820, 11078, 568, 3957, 12253, 548, 269, 769, 476, 1220, 271, 1352, 5747, 689, 513, 2634, 6084, 712, 269, 13536, 646, 7150, 646, 1185, 1759, 519, 4775, 16502, 538, 519, 3209, 968, 288, 12532, 547, 5457, 892, 593, 1200, 269, 4438, 1010, 6689, 1010, 1920, 6410, 513, 2603, 267, 855, 1282, 1010, 1164, 1153, 1296, 519, 1920, 590, 1706, 802, 5030, 538, 12876, 744, 6545, 267, 4993, 2807, 1496, 15912, 281, 3209, 267, 3332, 267, 23378, 280, 4366, 1913, 630, 273, 269, 278, 3817, 994, 268, 14408, 25539, 670, 16787, 2894, 968, 3080, 538, 1614, 2021, 949, 7985, 689, 6057, 543, 5208, 538, 1200, 10715, 892, 630, 301, 545, 1961, 17718, 2006, 1040, 18816, 814, 606, 1198, 593, 2021, 602, 3112, 581, 2322, 883, 1913, 269, 898, 2306, 2021, 1745, 4503, 543, 11849, 3139, 269, 769, 741, 10539, 789, 12404, 538, 741, 6057, 1510, 3001, 4464, 269, 769, 22956, 590, 1706, 802, 685, 3209, 15822, 670, 13273, 519, 2278, 9727, 519, 2956, 540, 20408, 9465, 950, 1373, 5185, 609, 6057, 269, 28304, 9465, 568, 16602, 855, 972, 616, 476, 274, 1271, 3268, 3238, 267, 2469, 998, 23434, 267, 2679, 1007, 3347, 267, 543, 9396, 908, 12194, 2807, 1496, 15912, 281, 18816, 267, 8447, 6057, 267, 4132, 6057, 267, 21824, 2639, 15996, 276, 1913, 630, 277, 269, 277 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 692, 2171, 666, 2328, 1239, 547, 513, 11483, 309, 3758, 1210, 519, 26417, 5399, 269, 1280, 1383, 912, 3499, 7090, 454, 12803, 815, 1930, 2891, 322, 12364, 7933, 21648, 564, 27406, 2580, 834, 320, 5602, 12803, 22182, 10857, 8475, 994, 12803, 22182, 2891, 2437, 994, 12803, 22182, 19304, 263, 19327, 4917, 12803, 22182, 19629, 333, 5602, 8199, 763, 1101, 1899, 10741, 519, 3758, 538, 16289, 7154, 267, 519, 2034, 1899, 11339, 519, 6003, 267, 519, 3791, 1899, 11339, 519, 1858, 267, 543, 519, 8772, 1899, 11339, 513, 1007, 1467, 1915, 780, 2162, 10390, 692, 1103, 713, 3296, 267, 649, 723, 8268, 930, 540, 519, 29782, 540, 7046, 20302, 543, 7152, 875, 547, 946, 621, 585, 3239, 4393, 543, 2079, 269, 1284, 723, 849, 5941, 519, 946, 540, 32725, 585, 1843, 7020, 543, 9477, 269, 1635, 1620, 891, 2035, 267, 649, 666, 1020, 811, 1950, 3239, 4393, 6620, 543, 3156, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 912, 2018, 1858, 815, 20956, 273, 269, 4186, 712, 22704, 263, 4186, 2293, 5157, 7481, 2018, 3758, 22182, 19304, 263, 19327, 4917, 1038, 4849, 912, 2018, 3758, 22182, 2891, 271, 15419, 1038, 3758, 22182, 2891, 2437, 2020, 825, 3758, 22182, 19629, 333, 15419, 29764, 273, 9884, 7159, 7659, 263, 5002, 876, 9239, 16932, 815, 834, 4462, 17126, 539, 4840, 323, 597, 8266, 815, 5895, 3052, 331, 984, 2891, 3250, 318, 30502, 270, 257, 1341, 6003, 1341, 834, 270, 29688, 335, 978, 5602, 12803, 815, 1930, 2891, 322, 12364, 7933, 21648, 564, 27406, 2580, 834, 320, 15419, 1721, 708, 326, 24786, 538, 546, 597, 8266, 1384, 825, 708, 815, 20956, 273, 269, 574, 1348, 263, 19112, 24786, 2020, 825, 708, 815, 20956, 273, 14371, 320, 11701, 7922, 584, 263, 574, 267, 630, 276, 267, 476, 276, 1070, 476, 273, 2020, 825, 708, 14682, 2001, 815, 20956, 273, 6983, 26404, 21760, 263, 574, 267, 20956, 273, 269, 4596, 299, 3036, 29758, 16165, 273, 294, 6938, 312, 2020, 825, 1427, 267, 555, 3306, 815, 20956, 273, 269, 628, 11611, 263, 574, 14682, 2001, 267, 476, 14096, 267, 476, 14838, 267, 476, 271, 994, 825, 32725, 267, 9041, 815, 20956, 273, 26098, 6944, 2293, 263, 628, 3306, 267, 476, 272, 267, 476, 273, 2020, 825, 585, 26048, 538, 32725, 912, 1038, 20956, 273, 6155, 3863, 6944, 2293, 263, 574, 14682, 2001, 267, 32725, 267, 910, 272, 267, 630, 271, 267, 476, 14838, 267, 476, 271, 1070, 476, 274, 2020, 825, 1948, 29764, 273, 269, 574, 19651, 2891, 30720, 2580, 708, 14682, 2001, 2020, 825, 1948, 19874, 692, 825, 3758, 22182, 10857, 8475, 994, 825, 3758, 22182, 2891, 2437, 2020, 825, 585, 1775, 538, 2039, 263, 276, 2187, 1038, 2119, 912, 2018, 1858, 815, 20956, 273, 269, 4186, 712, 22704, 263, 4186, 2293, 5157, 7481, 2018, 3758, 22182, 19304, 263, 19327, 4917, 1038, 4849, 912, 2018, 3758, 22182, 2891, 271, 5602, 1038, 952, 1775, 11203, 476, 275, 912, 2018, 3758, 22182, 2891, 2437, 2020, 825, 3758, 22182, 19629, 333, 15419, 29764, 273, 9884, 7159, 7659, 263, 5002, 876, 994, 8199, 2237, 606, 3573, 543, 2143, 1837, 609, 19900, 1257, 543, 3009, 12612, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 930, 2596, 1702, 540, 519, 1641, 269, 476, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1271, 3815, 547, 2015, 1354, 11449, 513, 11158, 10322, 559, 6500, 1317, 621, 666, 1118, 4259, 909, 543, 4509, 519, 1770, 1454, 4443, 563, 14611, 5199, 3790, 543, 4908, 454, 2005, 568, 5227, 547, 5372, 513, 11158, 10322, 559, 6500, 1169, 3923, 610, 1169, 1906, 3275, 267, 4470, 593, 519, 1826, 540, 19492, 557, 621, 814, 269, 634, 1942, 540, 10682, 786, 4268, 4470, 593, 519, 2203, 563, 3725, 10293, 2694, 8244, 454, 2005, 568, 1271, 547, 2015, 10682, 2694, 8244, 1354, 11449, 513, 11158, 10322, 559, 6500, 547, 2327, 519, 1279, 3856, 5106, 540, 519, 1062, 269, 7457, 547, 2298, 10682, 2694, 666, 948, 2569, 519, 991, 585, 14427, 18203, 610, 5372, 906, 543, 1832, 707, 1062, 4881, 7561, 269, 3958, 267, 2348, 1569, 547, 891, 2694, 666, 948, 8831, 519, 1272, 540, 707, 11158, 10322, 559, 6500, 543, 4688, 2724, 936, 942, 563, 763, 5665, 3790, 540, 513, 11158, 10322, 559, 6500, 666, 581, 7199, 267, 607, 789, 2154, 513, 2603, 540, 1648, 547, 2196, 269, 623, 3420, 2084, 513, 11158, 10322, 559, 6500, 666, 1942, 909, 547, 1269, 9873, 282, 2705, 267, 20401, 532, 543, 9494, 3091, 28774, 269, 8835, 849, 862, 1080, 547, 16779, 1507, 4213, 609, 1942, 15807, 3435, 950, 621, 2501, 547, 11158, 10322, 16478, 563, 20755, 518, 543, 9505, 4752, 454, 1607, 11158, 28238, 559, 6500, 543, 11158, 2598, 26529, 1770, 814, 513, 476, 271, 268, 1428, 8792, 7344, 22245, 543, 513, 3106, 954, 6674, 6467, 602, 11151, 4598, 547, 11158, 1769, 950, 519, 521, 1662, 568, 6659, 269, 634, 1374, 540, 713, 1770, 568, 1500, 609, 4874, 21666, 622, 543, 25168, 1886, 22005, 2326, 547, 2992, 11158, 1648, 2476, 689, 519, 3688, 1373, 24846, 1242, 267, 3850, 873, 547, 3251, 2973, 543, 24846, 1242, 585, 3476, 5712, 269, 3958, 267, 621, 2934, 513, 22245, 543, 9505, 4752, 1062, 602, 2636, 3755, 547, 3362, 1305, 16131, 585, 741, 7738, 2115, 1510, 20468, 827, 9561, 3950, 540, 942, 563, 763, 15549, 344, 568, 1271, 547, 2015, 1354, 11449, 513, 11158, 10322, 559, 6500, 267, 607, 621, 14014, 1996, 1022, 29840, 610, 8919, 538, 519, 1587, 269, 634, 15549, 344, 849, 6227, 1570, 543, 960, 26206, 12889, 585, 835, 1032, 1310, 6718, 267, 4758, 5561, 4708, 540, 2247, 602, 789, 616, 3478, 513, 2298, 1587, 563, 22546, 4369, 538, 9427, 13596, 454, 10932, 814, 3254, 602, 11158, 1769, 568, 2500, 1996, 782, 8290, 267, 4551, 267, 543, 1486, 9926, 10394, 269, 1717, 267, 930, 14471, 723, 5394, 1591, 6821, 267, 799, 949, 2149, 873, 689, 519, 2360, 540, 1970, 27703, 11158, 1769, 1949, 269, 5015, 267, 4652, 2830, 1229, 1216, 666, 2270, 4401, 267, 22670, 267, 543, 824, 5536, 267, 4227, 519, 7145, 540, 11158, 771, 26529, 1949, 563, 6781, 1006, 547, 2569, 6915, 28291, 454, 763, 2702, 547, 2569, 6915, 28291, 568, 606, 1271, 3815, 547, 2015, 1354, 11449, 513, 11158, 10322, 559, 6500, 267, 607, 621, 666, 948, 2061, 519, 4163, 27492, 540, 7103, 689, 835, 6882, 23649, 547, 519, 1985, 269, 5015, 267, 13350, 5574, 609, 20841, 666, 948, 4894, 1022, 6915, 28291, 19221, 936, 942, 563, 6781, 1006, 547, 2569, 8290, 454, 763, 2702, 547, 2569, 8290, 568, 1271, 547, 2015, 1354, 11449, 513, 11158, 10322, 559, 6500, 267, 607, 11158, 1769, 568, 2500, 1996, 782, 8290, 267, 4551, 267, 543, 1486, 9926, 10394, 269, 1717, 267, 930, 14471, 723, 5394, 1591, 6821, 602, 11158, 1769, 1949, 3112, 23309, 269, 11158, 10322, 16478, 666, 6146, 3075, 15033, 8290, 4122, 1336, 538, 10506, 950, 5916, 609, 3044, 24846, 1436, 2853, 563, 6781, 1006, 547, 2569, 4551, 454, 763, 2702, 547, 2569, 4551, 568, 606, 1271, 3815, 547, 2015, 1354, 11449, 513, 11158, 10322, 559, 6500, 1317, 11158, 1769, 568, 606, 5393, 2500, 1259, 540, 4227, 519, 8458, 540, 513, 19800, 12176, 269, 4706, 4028, 22887, 6672, 5849, 602, 621, 666, 581, 1031, 607, 513, 23833, 2268, 2864, 982, 513, 10826, 267, 543, 922, 1970, 31720, 5199, 2470, 2306, 621, 4998, 585, 6864, 926, 4548, 563, 6781, 1006, 547, 2569, 9044, 543, 7646, 1168, 454, 6524, 11449, 513, 11158, 1769, 4216, 267, 621, 568, 1271, 547, 2015, 519, 2702, 540, 519, 10322, 559, 6500, 547, 2569, 9044, 543, 7646, 1168, 269, 901, 568, 1317, 9044, 543, 7646, 1168, 666, 3262, 6385, 267, 3056, 547, 1072, 4220, 543, 1761, 2825, 3441, 269, 11158, 10322, 559, 9088, 616, 2966, 547, 6146, 9044, 24032, 267, 4543, 547, 3247, 741, 3262, 563, 2080, 616, 930, 540, 519, 1034, 4749, 4280, 2055, 827, 11158, 10322, 559, 9088, 912, 1692, 2178, 1281, 519, 11158, 1769, 991, 547, 581, 547, 24846, 1125, 7252, 888, 763, 3483, 540, 713, 3184, 568, 547, 1683, 1344, 593, 1591, 6049, 15777, 267, 11158, 24846, 6500, 4216, 267, 543, 11158, 771, 26529, 267, 1519, 875, 513, 11158, 15941, 666, 581, 1031, 547, 24846, 1125, 2127, 909, 547, 476, 6110, 4009, 3952, 538, 2450, 267, 519, 1374, 540, 519, 15620, 609, 476, 1789, 10896, 8279, 602, 1711, 2614, 11158, 4211, 1769, 547, 6146, 8290, 543, 4551, 267, 607, 1134, 607, 1344, 593, 519, 18389, 10322, 559, 6500, 799, 666, 581, 4448, 547, 606, 8028, 17752, 610, 2196, 593, 513, 6007, 563, 1692, 1279, 1281, 11158, 1769, 1491, 547, 10322, 559, 1125, 888, 306, 614, 16478, 666, 1491, 513, 1906, 7643, 547, 1896, 3764, 267, 4470, 593, 519, 2450, 543, 1826, 540, 10322, 28895, 1843, 269, 634, 3259, 540, 942, 786, 849, 4096, 593, 519, 4222, 540, 519, 11158, 1769, 563, 1432, 568, 519, 1655, 11158, 1769, 24846, 6500, 888, 2467, 568, 1100, 835, 2626, 547, 713, 2243, 267, 607, 3025, 786, 723, 741, 7375, 269, 1703, 616, 1114, 12478, 602, 596, 666, 2638, 856, 593, 519, 2344, 899, 11162, 335, 617, 11158, 290, 10322, 559, 6500, 267, 543, 11158, 23093, 563, 268, 18421, 1411, 10261, 547, 5700, 6168, 11158, 28238, 559, 9088, 543, 11158, 2598, 26529, 910, 4728, 476, 2918, 267, 476, 1708, 273, 0, 288, 5020, 8566, 1516, 30094, 720, 454, 763, 4144, 776, 540, 11427, 269, 7225, 603, 7935, 1188, 523, 321, 893, 5062, 10817, 790, 267, 476, 5908, 273, 268, 5908, 274, 2882, 519, 1739, 7127, 799, 4967, 519, 968, 323, 836, 2730, 569, 20754, 892, 2783, 540, 1200, 683, 15343, 342, 267, 4857, 1152, 607, 968, 28899, 645, 1848, 2701, 13991, 9887, 547, 968, 289, 779, 892, 1416, 2394, 1010, 3237, 8452, 267, 2713, 593, 2370, 3207, 609, 8486, 7129, 540, 1216, 267, 26633, 543, 30504, 1224, 1221, 585, 811, 20754, 4947, 593, 519, 14884, 269, 11427, 269, 5062, 10817, 790, 5206, 540, 9887, 543, 824, 21031, 12391, 585, 519, 20754, 281, 968, 2171, 3112, 6556, 547, 4357, 4606, 1631, 282, 789, 949, 10006, 909, 543, 19060, 998, 938, 12271, 2394, 789, 3592, 16802, 873, 267, 855, 789, 1590, 711, 8267, 332, 721, 269, 1284, 1590, 798, 938, 10279, 547, 938, 2197, 267, 543, 621, 666, 1406, 581, 2944, 676, 8808, 938, 1378, 22408, 4900, 3034, 288, 5020, 8566, 1516, 30094, 720, 454, 2108, 21938, 476, 1556, 267, 476, 5908, 274, 281, 1280, 4557, 2395, 2250, 594, 723, 1044, 693, 519, 5127, 2515, 540, 1250, 3461, 538, 29430, 269, 634, 13500, 585, 519, 3791, 942, 16339, 8529, 540, 1010, 1272, 282, 676, 519, 22556, 540, 2696, 646, 568, 1586, 598, 1998, 27853, 269, 3776, 20754, 616, 7092, 23494, 585, 9522, 923, 267, 543, 594, 3494, 602, 1082, 3407, 2729, 616, 4503, 585, 519, 1616, 540, 513, 1906, 14569, 540, 533, 7163, 563, 3080, 1554, 513, 18874, 7555, 676, 6004, 269, 645, 779, 5127, 2515, 1767, 547, 803, 267, 968, 3891, 1590, 16173, 538, 513, 1554, 610, 1079, 282, 646, 25601, 9444, 6216, 344, 6862, 5144, 267, 543, 1010, 1272, 568, 8429, 2476, 585, 1616, 540, 29454, 3034, 1103, 513, 1533, 536, 867, 1359, 593, 21817, 267, 594, 4682, 856, 547, 8075, 543, 8637, 267, 547, 1917, 610, 4444, 533, 7163, 282, 711, 513, 11480, 729, 538, 4884, 269, 2311, 2063, 513, 14799, 5143, 803, 602, 513, 3625, 1228, 27460, 267, 621, 729, 1767, 267, 1185, 4547, 513, 548, 267, 543, 621, 729, 693, 519, 2564, 1625, 3272, 528, 779, 269, 594, 4682, 1394, 547, 6004, 269, 623, 779, 14678, 267, 543, 5143, 1250, 7015, 630, 289, 10200, 338, 4651, 264, 540, 519, 15555, 528, 269, 1677, 1205, 513, 18874, 779, 1270, 9974, 543, 979, 1055, 547, 519, 1625, 3272, 528, 779, 729, 519, 960, 540, 513, 4090, 563, 1103, 513, 2110, 942, 646, 8120, 609, 513, 18797, 14569, 540, 3127, 513, 548, 269, 898, 729, 13950, 15891, 13124, 693, 1101, 267, 543, 950, 594, 1336, 602, 646, 17477, 621, 267, 543, 13927, 29087, 4280, 585, 811, 267, 17229, 540, 7772, 543, 9684, 6888, 10443, 1524, 1250, 1750, 4060, 563, 2108, 24876, 1864, 607, 1454, 607, 646, 786, 1491, 1282, 519, 3781, 2223, 729, 519, 1931, 540, 519, 10629, 269, 634, 1931, 729, 23491, 539, 267, 543, 1272, 8604, 547, 2132, 547, 1010, 1062, 282, 538, 8938, 21144, 3108, 646, 1185, 26583, 2185, 14569, 282, 646, 3459, 1287, 547, 1491, 5144, 267, 543, 594, 2760, 14754, 4376, 899, 519, 556, 534, 11582, 540, 519, 2898, 812, 267, 2168, 543, 2790, 563, 5978, 10506, 616, 1631, 13859, 609, 713, 1272, 3766, 1516, 20892, 267, 543, 782, 723, 621, 945, 968, 11274, 5193, 569, 2154, 621, 892, 1498, 1390, 1416, 568, 3144, 540, 621, 267, 585, 519, 3761, 568, 3908, 269, 7937, 267, 875, 16970, 621, 568, 602, 519, 8832, 6554, 1058, 723, 1500, 11955, 543, 519, 2122, 2456, 540, 1272, 547, 519, 7210, 543, 20754, 267, 733, 4599, 663, 4930, 28461, 20573, 10706, 540, 11427, 269, 5062, 10817, 790, 282, 634, 6468, 540, 519, 3162, 538, 2782, 8648, 267, 15623, 8525, 12448, 338, 267, 9375, 267, 634, 22374, 3816, 15838, 7577, 267, 476, 4572, 271, 267, 6032, 269, 476, 14690, 268, 11260, 264, 0, 301, 8457, 8641, 924, 32254, 454, 301, 8457, 27948, 8869, 568, 513, 1360, 5386, 8869, 602, 568, 1031, 538, 1585, 3156, 269, 898, 814, 5140, 5122, 19428, 269, 901, 9325, 568, 2139, 538, 22862, 543, 1875, 18396, 730, 3029, 269, 2368, 540, 519, 3156, 540, 6289, 1748, 924, 616, 607, 1648, 13936, 2326, 543, 19149, 656, 563, 288, 24519, 3766, 1429, 924, 9325, 568, 3335, 1336, 538, 5603, 4394, 540, 476, 1015, 547, 476, 3393, 6289, 18852, 269, 634, 5536, 723, 513, 1808, 2627, 1858, 540, 476, 1789, 547, 476, 2004, 544, 273, 17320, 563, 20877, 924, 8869, 814, 1082, 3096, 538, 519, 11418, 2872, 269, 898, 568, 1031, 538, 3167, 5179, 26814, 267, 25801, 23541, 267, 543, 20347, 13274, 902, 269, 769, 1840, 267, 621, 568, 513, 1164, 18364, 543, 814, 513, 1434, 16617, 4187, 693, 1164, 5210, 563, 8794, 513, 5102, 591, 1944, 1505, 267, 519, 5536, 616, 2111, 547, 581, 5423, 538, 513, 1360, 1507, 2450, 269, 1358, 616, 849, 1031, 538, 606, 3941, 585, 16864, 23760, 9075, 563, 763, 7041, 1505, 540, 6289, 1748, 924, 568, 835, 540, 519, 1883, 2188, 538, 922, 4398, 269, 589, 4028, 5102, 591, 1436, 1184, 568, 835, 540, 519, 2409, 269, 4438, 519, 5102, 591, 1436, 1184, 267, 519, 9325, 2450, 568, 4389, 676, 513, 3815, 540, 827, 4557, 269, 2991, 2072, 267, 519, 5536, 616, 6404, 883, 606, 594, 5183, 3070, 543, 24797, 563, 763, 2164, 4951, 602, 519, 3328, 9325, 2450, 729, 476, 27768, 16354, 269, 5015, 267, 621, 729, 7229, 602, 519, 8515, 540, 519, 7455, 729, 827, 476, 273, 269, 276, 2053, 2362, 982, 824, 14258, 269, 2991, 519, 9325, 20695, 1673, 626, 9084, 4729, 729, 1500, 267, 621, 729, 4114, 13846, 676, 513, 21714, 7455, 563, 763, 24519, 3766, 1429, 924, 729, 5423, 676, 6385, 5102, 591, 1944, 2067, 1166, 820, 27948, 609, 14776, 5536, 269, 2991, 1614, 3108, 540, 8860, 267, 519, 9325, 2450, 729, 4389, 676, 513, 3815, 540, 827, 32210, 2600, 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 ]
[ 0, 296, 576, 524, 872, 704, 14155, 730, 693, 10783, 670, 12245, 574, 663, 454, 14454, 281, 476, 272, 476, 274, 270, 279, 1535, 476, 275, 476, 272, 270, 275, 538, 269, 630, 476, 274, 269, 276, 1535, 476, 1015, 269, 279, 4699, 12467, 27860, 4672, 524, 872, 704, 14155, 730, 693, 10783, 670, 12245, 574, 663, 282, 6366, 267, 14328, 1560, 609, 2185, 2110, 7953, 282, 1079, 17787, 8831, 689, 1283, 540, 1560, 563, 1607, 4672, 524, 872, 704, 729, 14155, 730, 676, 519, 12197, 16709, 9730, 689, 513, 20549, 8486, 693, 10783, 670, 12245, 574, 663, 267, 513, 3703, 6830, 593, 2961, 13987, 6816, 538, 519, 853, 269, 18039, 5211, 538, 1715, 3840, 267, 1175, 2630, 519, 8225, 8473, 269, 29740, 538, 476, 10082, 280, 267, 519, 6830, 26017, 8574, 540, 519, 5757, 543, 729, 17477, 676, 519, 3703, 2394, 922, 9552, 676, 1977, 4229, 538, 476, 8687, 273, 269, 22307, 4536, 20595, 4672, 28869, 619, 593, 519, 4420, 1682, 540, 741, 10887, 267, 543, 13615, 873, 538, 1747, 676, 8429, 18052, 998, 519, 17787, 593, 1283, 563, 18814, 547, 5571, 1382, 267, 1344, 827, 713, 1843, 568, 1641, 547, 1689, 269, 0, 19136, 24747, 5510, 7304, 1933, 645, 10105, 454, 19136, 24747, 281, 519, 5169, 269, 634, 8262, 24747, 814, 922, 8129, 538, 5527, 269, 898, 729, 1031, 585, 513, 942, 607, 513, 10723, 1843, 267, 855, 729, 6368, 4547, 547, 519, 1857, 26750, 538, 24131, 10563, 480, 361, 424, 482, 353, 425, 484, 510, 425, 484, 510, 1282, 519, 11193, 269, 901, 6174, 1185, 513, 1360, 1271, 610, 9565, 1268, 607, 922, 19121, 23920, 269, 634, 8262, 24747, 729, 513, 7928, 8289, 593, 7969, 9897, 1282, 713, 942, 267, 8876, 14074, 267, 7727, 543, 3909, 5515, 689, 835, 2749, 547, 1776, 267, 8744, 1434, 9939, 547, 922, 17631, 269, 17652, 267, 519, 1523, 540, 519, 8262, 24747, 2968, 2404, 609, 19539, 543, 519, 15831, 19026, 267, 799, 2306, 621, 513, 2442, 543, 1134, 8153, 30118, 538, 7977, 543, 11992, 538, 2342, 563, 763, 1360, 1101, 18634, 585, 519, 8262, 24747, 267, 513, 6263, 15279, 21192, 28886, 19564, 729, 3812, 676, 519, 29048, 540, 24131, 1472, 476, 14983, 271, 1282, 519, 7969, 11193, 269, 634, 14704, 267, 3967, 2859, 331, 267, 5497, 621, 547, 723, 2185, 14743, 267, 602, 1131, 1577, 621, 581, 1951, 13949, 2059, 676, 1688, 269, 898, 729, 2966, 547, 581, 1031, 607, 513, 2707, 540, 6283, 267, 1454, 899, 513, 1085, 2393, 518, 267, 855, 2864, 982, 1210, 1480, 1379, 267, 621, 729, 13324, 676, 1312, 14743, 269, 589, 811, 2487, 4528, 540, 519, 3312, 1523, 729, 602, 519, 28886, 344, 3380, 610, 6415, 19318, 30158, 262, 602, 616, 26526, 1134, 1634, 538, 1034, 2477, 2221, 563, 4407, 1082, 7648, 543, 10124, 723, 2097, 543, 616, 8854, 676, 519, 2081, 728, 267, 519, 1101, 2462, 8868, 1523, 2729, 593, 269, 13738, 21891, 543, 824, 2101, 8868, 9979, 723, 2919, 883, 3833, 3730, 6472, 2221, 269, 1809, 789, 782, 2671, 513, 2596, 1374, 602, 3323, 609, 519, 1101, 8262, 24747, 543, 3788, 3020, 2221, 269, 634, 2185, 14743, 540, 519, 8262, 24747, 616, 7923, 676, 513, 5832, 267, 899, 513, 17919, 5832, 267, 543, 972, 616, 3335, 513, 1305, 540, 24039, 610, 838, 13702, 1115, 593, 2901, 2427, 547, 8936, 891, 14743, 563, 2467, 781, 513, 7823, 11332, 4528, 1572, 513, 257, 289, 833, 257, 610, 257, 291, 23124, 257, 602, 729, 519, 1360, 1101, 8262, 24747, 18634, 269, 901, 729, 519, 1101, 540, 519, 1804, 8868, 30158, 602, 1185, 513, 4395, 8868, 602, 4412, 8215, 519, 31115, 269, 3509, 8747, 540, 519, 8262, 24747, 1523, 3769, 1312, 513, 4395, 8868, 543, 513, 15493, 8868, 269, 634, 23266, 540, 519, 8262, 24747, 17919, 6216, 2012, 267, 21321, 773, 4432, 916, 267, 4607, 513, 14664, 585, 713, 11768, 538, 2904, 540, 476, 4350, 279, 563, 4322, 2038, 30384, 3335, 12286, 2462, 1930, 12483, 14743, 543, 519, 25500, 14201, 1405, 3226, 3730, 585, 3478, 20086, 269, 634, 12483, 1131, 581, 7923, 547, 513, 5832, 543, 519, 14743, 14201, 1405, 3226, 19756, 269, 901, 1374, 16950, 4166, 4957, 519, 3068, 540, 30158, 11014, 563, 1103, 519, 3735, 19412, 2906, 519, 8262, 24747, 729, 2699, 525, 11220, 676, 513, 17919, 10672, 1759, 538, 1715, 10215, 1634, 607, 27722, 17384, 269, 17384, 1305, 827, 547, 2087, 519, 1374, 540, 519, 8262, 24747, 609, 519, 1840, 540, 5374, 678, 15501, 883, 519, 18646, 543, 2870, 513, 6793, 1394, 8868, 269, 634, 1267, 729, 513, 2484, 1732, 11878, 602, 1869, 1031, 2462, 18646, 855, 12286, 513, 31933, 518, 23302, 1374, 602, 12006, 519, 1413, 540, 11956, 3079, 540, 5374, 269, 27722, 17384, 849, 2919, 513, 1007, 1106, 540, 5832, 12454, 26039, 602, 5249, 1454, 899, 2413, 1167, 26039, 563, 294, 776, 17384, 2919, 519, 8262, 24747, 585, 513, 3070, 585, 1004, 945, 2901, 4769, 1405, 723, 519, 4055, 585, 1804, 18646, 610, 585, 1004, 945, 1175, 4769, 1405, 723, 519, 1719, 538, 15203, 269, 634, 8262, 24747, 568, 3501, 585, 946, 593, 6671, 16351, 30158, 543, 568, 519, 3501, 1259, 547, 1711, 707, 3044, 11332, 883, 513, 4062, 540, 2413, 1148, 269, 20676, 665, 1484, 21891, 543, 824, 2010, 540, 21891, 602, 596, 9364, 1616, 547, 11878, 593, 513, 2842, 344, 1554, 786, 3514, 23182, 593, 519, 8262, 24747, 269, 2659, 11239, 2877, 563, 19423, 1229, 538, 1082, 1114, 7306, 519, 8262, 24747, 666, 581, 5833, 538, 513, 1297, 540, 2189, 6272, 1519, 513, 2647, 2039, 540, 25500, 6272, 269, 1358, 2811, 849, 6035, 538, 1312, 26079, 543, 12483, 8677, 609, 513, 476, 2918, 20878, 19437, 1063, 519, 14743, 269, 901, 1797, 602, 952, 596, 723, 513, 2370, 1126, 789, 1223, 11878, 593, 513, 8262, 24747, 609, 1100, 4960, 540, 873, 3614, 1005, 2933, 269, 1403, 596, 2811, 3168, 585, 513, 5140, 1259, 547, 1205, 707, 3214, 1055, 268, 5802, 1510, 7836, 7899, 540, 2724, 717, 1563, 814, 2919, 513, 1899, 540, 8262, 24747, 13738, 21891, 602, 4183, 8262, 24747, 678, 15501, 543, 18646, 269, 5510, 268, 5802, 21891, 585, 9042, 786, 3514, 23182, 593, 891, 678, 15501, 543, 18646, 269, 0, 9616, 281, 901, 568, 606, 12747, 8144, 630, 6748, 12213, 299, 264, 540, 519, 3312, 4436, 2376, 563, 18893, 574, 2065, 2203, 9819, 2982, 281, 1510, 3210, 267, 12046, 1377, 12772, 547, 1175, 1657, 476, 1015, 260, 676, 5239, 454, 17780, 593, 519, 3811, 630, 663, 5063, 3370, 264, 2551, 31331, 1377, 2079, 2203, 267, 606, 10137, 729, 2919, 630, 514, 5698, 609, 570, 308, 654, 1329, 543, 667, 13052, 28502, 303, 1040, 901, 10137, 2636, 547, 4786, 593, 519, 835, 1688, 519, 31331, 1184, 543, 593, 519, 824, 1688, 519, 2530, 540, 4027, 1996, 3968, 267, 607, 1134, 607, 519, 2530, 540, 4027, 1996, 30674, 269, 4935, 267, 621, 568, 2009, 547, 970, 1905, 25544, 519, 31331, 1377, 540, 519, 2551, 883, 519, 2104, 267, 799, 538, 2490, 7028, 3375, 15670, 563, 18814, 547, 519, 1699, 24604, 3823, 519, 1239, 3510, 543, 16917, 8344, 3510, 630, 5408, 7300, 540, 519, 1353, 585, 3877, 1070, 519, 2203, 729, 16866, 270, 611, 2194, 539, 9935, 269, 634, 2203, 2164, 616, 4061, 711, 2104, 11236, 267, 855, 4196, 547, 1732, 1174, 519, 6384, 540, 519, 31331, 1377, 269, 898, 666, 581, 6059, 875, 519, 1377, 540, 31331, 910, 1510, 5007, 7506, 910, 786, 1020, 267, 799, 538, 2490, 2306, 621, 2009, 547, 1118, 3617, 21339, 563, 1103, 1931, 547, 1491, 883, 2272, 519, 24604, 689, 519, 3403, 543, 9936, 1436, 1239, 267, 1312, 606, 23904, 9183, 630, 338, 12294, 7771, 540, 519, 8825, 1198, 264, 543, 513, 533, 612, 574, 2065, 835, 941, 11567, 538, 519, 1699, 1353, 269, 634, 4358, 1448, 585, 1312, 7653, 568, 519, 1699, 1377, 630, 15037, 269, 476, 2764, 267, 476, 1708, 273, 264, 540, 31331, 630, 2421, 12674, 610, 6051, 1040, 901, 568, 630, 10175, 519, 4158, 4137, 264, 4867, 1063, 476, 2568, 260, 543, 476, 4792, 260, 630, 28785, 560, 2068, 1040, 901, 1871, 1058, 581, 14648, 609, 1390, 13657, 267, 2094, 621, 6257, 16917, 328, 10999, 519, 8167, 540, 1004, 945, 616, 27985, 476, 1911, 260, 6870, 269, 769, 4641, 267, 2705, 267, 513, 3677, 8167, 540, 1004, 616, 1152, 13148, 6870, 269, 901, 1871, 568, 4061, 711, 2047, 13380, 609, 15151, 2147, 2418, 689, 4791, 2090, 563, 17780, 593, 713, 630, 5408, 7612, 476, 272, 1070, 1256, 538, 519, 23904, 9183, 267, 519, 31331, 1377, 12772, 547, 835, 1922, 604, 628, 540, 519, 1699, 1871, 630, 13627, 269, 1321, 8472, 676, 5239, 476, 272, 269, 901, 1797, 602, 676, 5239, 476, 272, 267, 827, 476, 275, 269, 274, 2929, 4761, 3243, 20379, 786, 581, 7508, 519, 1699, 1377, 267, 799, 568, 4867, 6190, 547, 3914, 519, 8445, 540, 519, 744, 32342, 5951, 563, 4913, 267, 621, 1058, 849, 581, 15091, 602, 519, 1377, 540, 4027, 1996, 30674, 568, 2484, 811, 10770, 630, 3147, 1800, 547, 1699, 1702, 1040, 901, 1377, 12772, 689, 1175, 936, 476, 3199, 260, 4867, 547, 1152, 827, 476, 1789, 268, 3393, 260, 630, 5408, 2140, 3113, 1040, 901, 568, 24903, 3020, 538, 513, 4642, 9183, 267, 1141, 9444, 31331, 676, 6051, 6862, 12674, 4386, 607, 540, 2221, 563, 8201, 476, 272, 281, 16332, 640, 540, 519, 22341, 2551, 1996, 3968, 609, 519, 744, 32342, 14583, 538, 519, 23904, 9183, 269, 634, 8880, 3515, 5815, 693, 799, 12046, 1377, 519, 9757, 5951, 630, 13757, 264, 8445, 539, 269, 634, 28367, 1899, 585, 22601, 269, 273, 568, 6059, 1210, 15435, 3631, 563, 763, 3003, 1353, 267, 1519, 519, 17501, 5690, 543, 782, 3137, 543, 7687, 267, 666, 581, 22434, 607, 513, 7300, 1934, 269, 11374, 568, 513, 5758, 540, 1883, 7422, 543, 7687, 912, 268, 2986, 2565, 2956, 547, 713, 9781, 568, 519, 9178, 540, 12046, 269, 901, 5673, 593, 519, 1826, 540, 31331, 267, 1775, 4318, 1421, 519, 1297, 540, 13066, 540, 6669, 513, 1268, 814, 4607, 267, 543, 2436, 789, 723, 630, 10193, 264, 16626, 269, 901, 1198, 729, 24018, 1759, 593, 1483, 1239, 1210, 513, 17501, 5690, 630, 2171, 756, 1638, 3892, 1040, 19672, 454, 268, 634, 4158, 2557, 910, 676, 922, 1360, 2470, 910, 3112, 581, 10502, 6027, 267, 855, 568, 606, 7447, 609, 1978, 24604, 267, 799, 568, 267, 2705, 267, 5781, 5340, 543, 6417, 630, 5408, 1957, 681, 2089, 5424, 1696, 620, 28593, 268, 7053, 267, 713, 1353, 1281, 711, 1491, 883, 2272, 519, 1198, 540, 2104, 31331, 630, 2421, 6051, 543, 5924, 12674, 264, 543, 1281, 711, 8263, 1022, 1007, 3644, 14726, 563, 763, 2140, 3113, 2982, 519, 12046, 540, 519, 22341, 2551, 1996, 30674, 609, 519, 744, 32342, 14583, 538, 519, 23904, 9183, 269, 0, 307, 16464, 640, 666, 1267, 689, 28453, 540, 607, 2370, 607, 476, 1220, 8406, 540, 513, 536, 10740, 6070, 269, 17327, 24037, 13066, 616, 4080, 547, 2039, 689, 476, 272, 547, 476, 1789, 575, 540, 513, 536, 10740, 6070, 269, 27706, 4598, 547, 536, 10740, 32669, 540, 3152, 982, 476, 271, 269, 6349, 8406, 8276, 274, 616, 2404, 609, 1072, 2360, 269, 3607, 22452, 547, 31067, 28634, 536, 10740, 949, 2014, 17422, 3046, 527, 2670, 267, 799, 5161, 540, 1360, 5386, 14047, 622, 543, 3045, 983, 15087, 543, 930, 5594, 3677, 12162, 983, 15087, 269, 3607, 454, 16729, 28453, 267, 476, 276, 260, 547, 476, 1015, 260, 540, 19729, 536, 10740, 19941, 20919, 616, 12842, 267, 1428, 609, 519, 2557, 540, 10338, 8200, 593, 519, 4110, 540, 1216, 32610, 540, 519, 6070, 269, 634, 942, 547, 8445, 16796, 5834, 568, 476, 273, 3108, 269, 1428, 454, 763, 6757, 758, 27282, 616, 6353, 676, 513, 4028, 23799, 9084, 5123, 267, 4553, 676, 513, 3500, 6175, 540, 16796, 536, 10740, 9830, 267, 609, 513, 4080, 3368, 3734, 8151, 1063, 476, 1240, 543, 476, 5952, 3108, 269, 1428, 267, 2918, 11412, 531, 17594, 540, 519, 12842, 9570, 6589, 585, 476, 1015, 260, 547, 476, 2764, 260, 540, 2698, 536, 10740, 608, 17917, 267, 609, 519, 12880, 8905, 540, 17594, 998, 519, 16063, 8778, 538, 519, 28797, 563, 32513, 636, 536, 10740, 9830, 2039, 689, 476, 274, 269, 278, 547, 476, 6078, 269, 272, 8406, 13624, 538, 3370, 2013, 5359, 540, 31916, 2550, 269, 273, 267, 279, 267, 2641, 267, 2537, 267, 2918, 267, 3066, 267, 4029, 12280, 568, 16613, 1739, 4598, 855, 4386, 1034, 4122, 1739, 28453, 538, 4791, 5468, 609, 3908, 1072, 1416, 2200, 269, 1321, 12280 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 607, 9044, 6954, 607, 1480, 569, 2009, 267, 1519, 707, 3536, 269, 2368, 3536, 616, 811, 11630, 547, 9044, 12526, 982, 1866, 269, 12989, 616, 519, 1283, 476, 1015, 1250, 20799, 16464, 3536, 267, 607, 13890, 538, 519, 1433, 27718, 281, 634, 2782, 10738, 676, 918, 4669, 543, 10557, 7788, 9291, 902, 269, 1306, 596, 666, 1294, 267, 1082, 540, 1283, 25476, 616, 9274, 269, 1280, 811, 593, 519, 9291, 902, 262, 6051, 1544, 267, 3277, 547, 938, 1991, 2376, 8720, 2067, 5574, 585, 9044, 17219, 269, 272, 269, 15850, 545, 16098, 281, 15850, 568, 519, 1250, 20799, 28845, 540, 15762, 10420, 3912, 806, 13803, 630, 3691, 4546, 781, 13803, 1070, 543, 1419, 3568, 824, 1250, 20799, 2135, 1231, 689, 9044, 25202, 5613, 543, 9274, 476, 273, 269, 5453, 520, 543, 782, 10568, 2472, 476, 274, 269, 681, 6614, 476, 275, 269, 3212, 534, 7491, 281, 10705, 13572, 609, 19421, 540, 9044, 2010, 267, 835, 540, 799, 568, 2860, 27351, 6748, 513, 29788, 28845, 476, 276, 269, 29158, 23092, 543, 10412, 23092, 3282, 476, 277, 269, 12397, 281, 10713, 958, 13572, 609, 513, 3099, 540, 16507, 13802, 476, 278, 269, 4446, 2917, 476, 279, 269, 29813, 32758, 281, 13242, 538, 513, 3099, 540, 10286, 2472, 543, 23931, 16098, 476, 280, 269, 17491, 689, 4006, 29647, 543, 4006, 581, 1115, 476, 1015, 269, 10434, 29380, 525, 1548, 781, 12833, 9407, 538, 27718, 3816, 27467, 888, 15371, 596, 3251, 538, 513, 13572, 2777, 610, 4734, 267, 32598, 786, 581, 2556, 267, 543, 594, 1131, 2303, 17849, 513, 3318, 9044, 1121, 2664, 1807, 269, 769, 519, 2013, 540, 14700, 267, 1900, 1297, 835, 568, 547, 6802, 856, 1022, 7555, 1216, 543, 4894, 782, 2123, 28378, 267, 799, 849, 991, 547, 581, 5402, 19345, 543, 12015, 952, 596, 2811, 2469, 547, 2119, 547, 32006, 720, 873, 269, 1306, 7150, 4505, 267, 621, 781, 6099, 547, 1167, 731, 782, 2123, 28378, 543, 1376, 936, 267, 952, 2009, 269, 9208, 9044, 32598, 3322, 519, 1739, 3268, 281, 272, 269, 17553, 909, 2270, 906, 543, 647, 9535, 519, 2011, 856, 609, 2942, 2011, 2604, 269, 630, 1607, 568, 2147, 547, 7432, 593, 707, 19880, 5887, 10178, 4700, 476, 273, 269, 8921, 267, 789, 2312, 519, 2011, 1210, 513, 16777, 5183, 22012, 2011, 1625, 8595, 610, 28103, 828, 269, 634, 2011, 1590, 581, 19345, 1317, 2899, 789, 1376, 2324, 593, 519, 9044, 267, 519, 24032, 786, 2253, 547, 8038, 10876, 899, 1769, 7452, 269, 476, 274, 269, 654, 8960, 8825, 10591, 267, 971, 607, 16777, 5183, 22012, 6711, 2209, 267, 575, 17344, 956, 267, 8825, 17015, 267, 543, 3735, 343, 17309, 267, 519, 1121, 2664, 1807, 5956, 2921, 519, 4299, 1858, 6306, 269, 3816, 3437, 2694, 267, 971, 607, 3819, 13665, 267, 616, 7444, 543, 5402, 5116, 883, 513, 9126, 269, 476, 275, 269, 4495, 519, 4299, 4773, 616, 9126, 3022, 267, 1169, 10759, 540, 519, 1858, 568, 5402, 16777, 5183, 12511, 539, 1586, 269, 476, 276, 269, 4495, 519, 2707, 540, 519, 9044, 814, 1044, 4092, 267, 621, 781, 5402, 6569, 1210, 3905, 12853, 344, 1216, 267, 28103, 11453, 267, 16777, 5183, 22012, 5070, 619, 267, 669, 529, 1564, 267, 610, 1022, 824, 1907, 602, 786, 4894, 519, 9044, 269, 476, 277, 269, 12333, 1121, 2664, 2209, 786, 3335, 1521, 519, 1858, 609, 513, 21149, 656, 267, 607, 4551, 13173, 9044, 2208, 269, 476, 278, 269, 8921, 267, 519, 1858, 568, 3196, 12015, 269, 4495, 8499, 3819, 267, 18203, 666, 581, 1500, 269, 1215, 547, 7994, 513, 12333, 3816, 2664, 1807, 454, 12648, 1390, 1416, 538, 17849, 513, 9044, 1121, 2664, 1807, 543, 1118, 2386, 646, 610, 1352, 568, 14468, 269, 1411, 786, 1265, 28079, 610, 3318, 1592, 902, 593, 519, 1739, 7270, 269, 5637, 519, 594, 2975, 13612, 543, 715, 3036, 11085, 616, 5909, 4328, 3906, 585, 9044, 32598, 267, 855, 519, 594, 2975, 13612, 13995, 949, 581, 519, 1034, 4922, 1031, 269, 5901, 538, 2247, 602, 513, 6071, 13995, 949, 711, 581, 2614, 2443, 849, 6218, 519, 1121, 2664, 1807, 781, 20340, 543, 6142, 630, 2993, 1464, 607, 1134, 607, 4600, 262, 13180, 1040, 2060, 519, 8028, 3722, 267, 972, 616, 513, 1906, 1114, 2157, 563, 268, 594, 2975, 13612, 630, 9743, 3482, 540, 6184, 18936, 267, 27686, 543, 26198, 27872, 994, 268, 8028, 3722, 630, 13563, 7027, 585, 6452, 1042, 1243, 27872, 28931, 320, 5909, 4328, 1560, 602, 568, 3791, 18407, 26886, 563, 268, 634, 29722, 304, 288, 630, 5715, 3233, 5794, 10866, 5948, 28931, 320, 15376, 3919, 609, 1100, 13995, 1982, 630, 1492, 8028, 3722, 20362, 713, 676, 6876, 994, 268, 681, 8656, 630, 27916, 2610, 12752, 5948, 994, 268, 715, 3036, 11085, 630, 13233, 9257, 540, 3816, 2664, 2209, 543, 27718, 28018, 832, 994, 6097, 547, 519, 7025, 10466, 10837, 630, 292, 5183, 1070, 4057, 11255, 2011, 2298, 568, 835, 540, 519, 1283, 2947, 6574, 2825, 4220, 547, 1857, 1072, 269, 29055, 607, 621, 4992, 267, 11255, 2011, 666, 581, 2947, 547, 476, 1015, 2053, 811, 26130, 982, 9205, 2011, 269, 901, 568, 1813, 547, 16283, 14910, 267, 865, 17694, 1628, 909, 543, 24715, 656, 2011, 568, 556, 2275, 597, 1529, 730, 269, 7043, 3856, 4598, 547, 2011, 5533, 1300, 12885, 814, 1044, 2404, 609, 5488, 5042, 7771, 538, 4587, 4079, 563, 3080, 540, 519, 1655, 1919, 596, 666, 798, 547, 2087, 707, 2011, 2298, 568, 1039, 513, 1164, 7779, 2011, 1625, 8595, 269, 3733, 7840, 585, 2011, 1625, 13294, 723, 7960, 936, 519, 1296, 267, 2059, 609, 4657, 4066, 543, 9241, 6932, 1382, 269, 2311, 1459, 267, 1310, 1454, 6297, 2689, 543, 1353, 267, 594, 3494, 2011, 1625, 13294, 1210, 17421, 9697, 24608, 7621, 9179, 630, 303, 4596, 264, 3100, 547, 2709, 519, 1655, 2029, 2139, 269, 1280, 811, 4388, 593, 5355, 707, 2011, 2298, 267, 5225, 3277, 547, 938, 4505, 2376, 21457, 689, 31327, 27718, 20226, 2483, 296, 4312, 26906, 1896, 4966, 593, 9044, 5829, 4576, 936, 519, 2250, 1906, 1296, 267, 543, 2947, 540, 1346, 616, 5532, 2630, 269, 634, 1034, 2487, 729, 2067, 1072, 2278, 543, 957, 816, 30554, 22828, 590, 12002, 4171, 5767, 1433, 267, 9215, 311, 4149, 27912, 281, 3245, 24768, 547, 3502, 590, 1157, 267, 2882, 1344, 827, 23232, 689, 9044, 17219, 563, 306, 15120, 22828, 543, 1200, 9393, 1312, 11124, 689, 1250, 20799, 28845, 4598, 269, 1280, 30554, 22828, 267, 6757, 3109, 9044, 12306, 538, 1200, 24026, 267, 799, 3366, 547, 513, 3765, 10972, 1725, 2670, 540, 2860, 269, 1280, 1200, 9393, 267, 519, 9044, 3361, 2589, 28330, 547, 19576, 781, 2068, 269, 30554, 22828, 568, 513, 2178, 12167, 585, 4227, 707, 1560, 781, 6757, 4452, 267, 1443, 2358, 1200, 3988, 267, 834, 1805, 641, 10203, 707, 8477, 543, 1376, 10203, 707, 6464, 10590, 14675, 5796, 8197, 2336, 268, 30554, 22828, 590, 12002, 593, 7067, 689, 6757, 20358, 454, 268, 3220, 269, 681, 527, 2151, 1744, 334, 655, 6033, 593, 2994, 585, 7114, 543, 7067, 689, 9044, 4598, 454, 268, 10793, 774, 6652, 615, 593, 519, 834, 327, 5200, 257, 9044, 6855, 454, 268, 3220, 269, 16910, 529, 681, 1952, 593, 9044, 5829, 1072, 4220, 543, 32598, 454, 268, 3220, 269, 13343, 21942, 849, 827, 9044, 5829, 1072, 4220, 543, 32598, 454, 3528, 3220, 269, 30330, 7637, 454, 28095, 1382, 2982, 602, 2348, 513, 2178, 1514, 3060, 540, 1434, 2828, 568, 513, 1713, 3815, 538, 15325, 269, 1403, 596, 2811, 13998, 9678, 267, 596, 949, 1995, 4057, 1072, 543, 513, 10156, 14438, 563, 293, 12188, 4721, 666, 849, 581, 513, 1713, 3815, 538, 3811, 973, 10967, 566, 689, 4965, 269, 4340, 547, 2487, 1382, 267, 272, 1434, 7099, 543, 513, 2318, 19773, 666, 2965, 3262, 899, 513, 19131, 542, 998, 1514, 2516, 563, 22818, 811, 11932, 267, 713, 1353, 1201, 2373, 4505, 6811, 602, 4965, 568, 834, 4186, 698, 1190, 2437, 4466, 3079, 602, 1152, 2318, 30181, 4043, 547, 3262, 1851, 1004, 538, 2673, 7681, 563, 26807, 569, 267, 1373, 20158, 666, 723, 513, 14927, 2287, 1198, 593, 519, 7099, 540, 1346, 1472, 596, 267, 855, 2687, 547, 519, 4589, 267, 972, 781, 2370, 1981, 540, 513, 20158, 1268, 2965, 17444, 1866, 883, 513, 1533, 540, 4791, 4965, 12171, 12188, 2052, 6435, 13363, 1411, 689, 12870, 454, 10574, 689, 811, 982, 476, 273, 267, 1822, 1164, 1153, 1053, 729, 12649, 538, 713, 1353, 269, 3683, 513, 1974, 540, 3670, 547, 476, 1321, 3275, 267, 519, 1053, 12943, 2055, 827, 2589, 540, 4965, 543, 945, 741, 2828, 941, 563, 2026, 4080, 676, 634, 9533, 281, 273, 454, 257, 27736, 945, 7620, 20639, 607, 24802, 20158, 1705, 711, 1412, 17126, 262, 741, 2828, 267, 855, 952, 789, 1185, 2614, 2828, 945, 1185, 1018, 519, 1353, 1572, 513, 1412, 11794, 7099, 262, 1862, 602, 23060, 741, 8458, 540, 23232, 689, 741, 4965, 563, 4517, 585, 1004, 945, 14201, 1405, 20158, 538, 519, 1101, 1747, 267, 2348, 2614, 15508, 2635, 2828, 10300, 1386, 741, 8458, 540, 3384, 4965, 563, 6546, 781, 513, 7168, 1804, 1198, 267, 543, 7028, 3105, 1382, 274, 6031, 602, 1164, 7779, 1514, 3347, 2539, 1004, 781, 1981, 540, 4965, 4799, 6097, 547, 519, 4589, 267, 950, 596, 1265, 13421, 540, 2828, 945, 616, 20158, 267, 799, 824, 2090, 723, 1336, 267, 713, 4440, 3884, 1405, 1813, 547, 835, 20158, 1367, 17444, 519, 1866, 883, 519, 546, 7927, 609, 873, 563, 21156, 267, 621, 949, 581, 1813, 547, 513, 3791, 3815, 269, 12344, 789, 2811, 782, 5230, 4235, 619, 585, 1383, 267, 610, 2502, 538, 824, 2238, 602, 3895, 513, 2942, 14820, 563, 10870, 27236, 7338, 5600, 6811, 741, 1353, 1505, 834, 13195, 333, 1405, 11630, 547, 602, 1317, 649, 6743, 693, 1463, 2242, 540, 1533, 269, 1284, 941, 7168, 1454, 2047, 11287, 713, 1184, 540, 707, 3659, 12018, 596, 563, 257, 4517, 519, 8799, 3932, 602, 649, 3893, 729, 602, 707, 2828, 666, 2149, 596, 689, 4965, 543, 948, 596, 9156, 689, 621, 1701, 763, 769, 11987, 24306, 540, 12870, 454, 2026, 1271, 607, 17052, 666, 581, 267, 789, 786, 4440, 711, 4194, 4965, 12082, 538, 4057, 2732, 543, 6197, 6208, 563, 2005, 781, 1271, 547, 8275, 602, 267, 14669, 547, 2442, 3661, 267, 4965, 568, 711, 2693, 3361, 676, 796, 29446, 2634, 6464, 282, 2705, 972, 616, 513, 1297, 540, 824, 6211, 2188, 602, 2408, 547, 581, 3810, 1713, 563, 2690, 1383, 267, 3173, 723, 1336, 602, 14264, 3273, 545, 4965, 267, 17299, 4524, 267, 543, 2022, 31691, 4965, 616, 2404, 609, 11506, 2157, 540, 12982, 29299, 538, 4999, 609, 8519, 23280, 8417, 630, 322, 677, 18066, 568, 1312, 513, 2566, 9449, 543, 513, 17280, 1996, 6553, 1040, 276, 454, 14722, 723, 849, 1336, 602, 707, 2790, 1072, 666, 581, 28148, 12936, 676, 2188, 971, 607, 6171, 667, 10638, 543, 5924, 796, 29446, 8937, 18508, 2443, 1312, 540, 799, 267, 10071, 958, 267, 1404, 513, 1909, 538, 5329, 6553, 538, 2638, 267, 799, 568, 2731, 1018, 519, 16185, 547, 4965, 568, 782, 827, 563, 306, 13610, 267, 1336, 538, 15792, 3761, 538, 1034, 9268, 3536, 267, 568, 1851, 519, 1034, 605, 13611, 5820, 972, 616, 267, 865, 519, 1101, 1900, 1131, 581, 547, 5372, 9268, 3536, 609, 1483, 267, 2898, 3536, 630, 728, 958, 5214, 547, 2057, 5739, 13851, 543, 824, 17672, 5820, 1916, 24916, 5009, 5312, 6553, 267, 15568, 4006, 666, 11851, 513, 6757, 1198, 676, 7700, 547, 7378, 543, 682, 696, 514, 4187, 543, 15176, 15202, 267, 799, 1404, 513, 1713, 1909, 538, 707, 2790, 1072, 563, 306, 13610, 849, 16401, 525, 2534, 540, 513, 1883, 2208, 9449, 1572, 30183, 22143, 630, 28090, 6508, 5778, 339, 13116, 3815, 264, 799, 8992, 2635, 2634, 11409, 269, 30183, 22143, 2157, 616, 9691, 1970, 538, 1312, 4965, 543, 18624, 267, 799, 3662, 3631, 2303, 1522, 2965, 581, 1757, 894, 563, 306, 13610, 849, 16881, 519, 2208, 540, 23633, 17973, 538, 707, 8937, 543, 3123, 606, 19261, 540, 707, 22435, 602, 786, 849, 3565, 547, 4965, 998, 513, 2647, 3099, 540, 6127, 23130, 547, 1684, 952, 25126, 1411, 5700, 1772, 3493, 5962, 454, 22818, 835, 540, 519, 1034, 5363, 1919, 596, 666, 798, 952, 596, 723, 513, 3659, 610, 1920, 4759, 602, 9620, 609, 4965, 568, 547, 948, 3391, 873, 4724, 8902, 4189, 543, 6197, 6208, 267, 607, 1818, 2242, 666, 581, 3226, 2352, 950, 596, 2811, 4743, 4544, 2443, 610, 8338, 267, 29047, 563, 2252, 596, 616, 4743, 26525, 610, 723, 1022, 4555, 540, 11980, 267, 5225, 1289, 519, 2817, 2672, 8336 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 27715, 543, 5009, 873, 547, 519, 5580, 5049, 607, 17195, 2472, 269, 24261, 9863, 602, 513, 2344, 1747, 11478, 585, 3252, 540, 8642, 1374, 543, 2511, 267, 9591, 519, 9668, 540, 1374, 689, 2504, 543, 519, 5386, 6575, 269, 634, 960, 540, 519, 22398, 916, 22574, 4964, 568, 6353, 676, 922, 18883, 540, 8978, 2010, 267, 16887, 10120, 563, 8070, 518, 585, 519, 631, 537, 4802, 22748, 613, 538, 8303, 269, 17214, 676, 28741, 632, 570, 9567, 1787, 6441, 2246, 13440, 609, 7990, 12776, 2762, 538, 476, 6245, 272, 269, 8729, 547, 3203, 715, 537, 557, 879, 267, 8642, 2511, 543, 3308, 9355, 6591, 676, 519, 5888, 563, 3674, 9189, 540, 519, 645, 879, 27346, 269, 5853, 539, 538, 476, 4489, 280, 676, 19124, 717, 1886, 3780, 267, 568, 16363, 519, 4332, 2897, 540, 519, 8642, 1374, 3924, 563, 17809, 3660, 5403, 518, 585, 4223, 514, 19902, 269, 21277, 1027, 676, 634, 334, 8709, 6496, 7921, 538, 5130, 476, 4572, 274, 269, 634, 1942, 6954, 13944, 3919, 267, 20475, 519, 6891, 540, 519, 667, 3385, 3350, 267, 19450, 640, 267, 585, 5191, 543, 28586, 519, 4567, 28943, 543, 3308, 7215, 540, 519, 942, 563, 290, 2734, 622, 3961, 1374, 585, 13198, 325, 628, 753, 320, 267, 676, 519, 4886, 6828, 476, 276, 540, 519, 670, 293, 294, 21853, 332, 269, 21853, 332, 5441, 729, 606, 1102, 3005, 1448, 538, 519, 1686, 540, 2511, 267, 1317, 972, 568, 13890, 519, 1374, 3924, 676, 1797, 540, 3621, 12191, 563, 32306, 513, 16253, 454, 2791, 1590, 581, 29429, 538, 547, 2022, 513, 6085, 269, 0, 22546, 540, 24438, 3281, 1833, 22472, 593, 4858, 651, 26365, 21252, 540, 3281, 1833, 22695, 819, 5422, 454, 20082, 910, 667, 19342, 9817, 1265, 2647, 3156, 538, 4853, 543, 6283, 9922, 269, 634, 2101, 1966, 2404, 609, 17088, 2599, 568, 602, 621, 3123, 13818, 2360, 547, 1604, 676, 32749, 5739, 9362, 899, 12971, 267, 31125, 267, 6751, 269, 3509, 1382, 4574, 7866, 602, 1210, 8715, 12935, 20762, 17088, 5012, 547, 6454, 538, 13674, 1184, 543, 3123, 1447, 12998, 540, 9362, 982, 1210, 7777, 17088, 269, 2423, 17067, 267, 713, 8097, 960, 814, 1044, 5340, 593, 6378, 13496, 5223, 17088, 2599, 676, 1082, 3173, 269, 1809, 538, 713, 4603, 960, 267, 17088, 2599, 609, 4756, 13496, 5223, 543, 1216, 22799, 2599, 729, 11567, 269, 6356, 540, 1585, 8715, 12935, 20762, 17088, 609, 21187, 593, 645, 15288, 1185, 3379, 609, 3490, 2013, 17088, 896, 1114, 15205, 2175, 543, 13496, 5223, 630, 10135, 1626, 267, 10911, 476, 1240, 267, 10911, 476, 736, 267, 543, 10911, 476, 2420, 1040, 769, 713, 8097, 960, 267, 1655, 2009, 3490, 2013, 729, 4857, 585, 519, 2599, 543, 1287, 546, 1712, 4754, 565, 568, 3773, 609, 8715, 12935, 20762, 17088, 630, 291, 5952, 300, 1428, 264, 538, 1585, 9830, 269, 898, 814, 1044, 4767, 602, 2773, 6724, 899, 20347, 8143, 4398, 630, 6630, 292, 264, 10607, 593, 4946, 8715, 12935, 543, 546, 1712, 4754, 565, 609, 7777, 17088, 269, 2201, 519, 824, 1688, 267, 5434, 689, 1585, 9362, 899, 3911, 5803, 267, 2910, 543, 31125, 849, 6175, 676, 1210, 8715, 12935, 1673, 19342, 11100, 609, 546, 1712, 4754, 565, 607, 3379, 547, 602, 540, 3490, 2013, 17088, 630, 291, 1911, 1916, 21292, 910, 667, 19342, 267, 595, 10611, 267, 645, 15288, 267, 5410, 14476, 0, 275, 269, 6764, 8529, 15350, 543, 24517, 1674, 454, 20228, 871, 2989, 1973, 2095, 3361, 676, 5312, 18024, 887, 2125, 707, 2634, 540, 519, 5135, 543, 5567, 621, 2115, 547, 1685, 693, 8445, 4390, 269, 1306, 513, 1267, 267, 596, 949, 1265, 602, 707, 3965, 543, 5834, 1831, 16094, 15176, 563, 276, 269, 8752, 6953, 1737, 539, 1145, 267, 667, 20063, 610, 20539, 15282, 454, 29670, 538, 513, 3586, 1533, 540, 18024, 666, 2014, 596, 547, 1995, 7928, 546, 714, 5414, 28542, 543, 1769, 32567, 1145, 1813, 547, 3668, 540, 1973, 2095, 543, 5135, 547, 519, 2634, 269, 769, 4049, 2665, 267, 9825, 15282, 543, 15353, 949, 1267, 563, 277, 269, 14627, 550, 10361, 2851, 454, 13828, 3668, 540, 5135, 543, 2333, 538, 1973, 2604, 616, 519, 3501, 11600, 585, 7928, 14331, 269, 1403, 596, 5469, 602, 596, 3100, 547, 581, 3478, 873, 811, 1419, 267, 2119, 6704, 811, 1216, 593, 513, 3232, 4493, 547, 8897, 519, 8833, 593, 707, 2634, 563, 278, 269, 28239, 4210, 902, 610, 7054, 761, 1464, 454, 9617, 607, 568, 8984, 540, 1373, 17237, 267, 519, 991, 585, 1216, 11148, 547, 1118, 1004, 29099, 7099, 344, 543, 811, 3362, 8886, 730, 269, 4746, 267, 609, 782, 540, 519, 824, 2009, 2942, 2360, 593, 707, 2634, 543, 824, 8219, 267, 5312, 18024, 666, 12235, 540, 707, 9449, 3666, 543, 2014, 10770, 4965, 267, 4160, 543, 824, 7099, 4713, 563, 279, 269, 853, 6729, 10266, 610, 21853, 6203, 454, 12850, 6411, 607, 513, 17280, 1063, 519, 15755, 9115, 540, 707, 7181, 543, 519, 7181, 16298, 269, 9861, 538, 513, 1533, 540, 3586, 18024, 3762, 519, 3330, 540, 707, 7181, 7361, 796, 31695, 543, 519, 3586, 3679, 4598, 666, 3362, 1267, 538, 21385, 610, 7928, 7181, 31191, 563, 280, 269, 4790, 11692, 610, 18648, 6226, 3878, 454, 1103, 1931, 547, 5265, 1184, 519, 3536, 596, 3548, 267, 707, 24026, 991, 513, 11931, 3761, 540, 1216, 269, 9453, 7850, 12862, 267, 12536, 666, 3500, 1524, 4929, 19228, 267, 3154, 543, 26533, 267, 610, 1256, 519, 8429, 540, 9583, 3768, 580, 6479, 1426, 563, 1015, 269, 15434, 1324, 21690, 610, 6428, 1399, 16639, 454, 7312, 6797, 3340, 1216, 538, 1931, 547, 2736, 1524, 3170, 2281, 543, 946, 519, 1648, 6740, 972, 547, 4492, 707, 1560, 543, 2226, 7123, 1973, 25322, 26651, 2157, 269, 1879, 596, 1205, 13204, 3603, 543, 707, 6797, 666, 1406, 1685, 713, 1271, 1599, 267, 596, 3580, 1376, 547, 6159, 557, 3536, 899, 26265, 543, 30644, 3536, 799, 707, 1560, 17767, 607, 2653, 2959, 540, 1648, 563, 1556, 269, 769, 1464, 547, 700, 846, 13379, 454, 10303, 621, 521, 2355, 707, 1648, 267, 791, 4202, 12536, 543, 4749, 3123, 14432, 26351, 267, 18024, 666, 849, 1118, 621, 5176, 7543, 547, 6336, 2597, 269, 5015, 267, 2094, 707, 1560, 666, 1406, 2736, 1524, 3170, 8637, 1510, 7850, 20697, 267, 1256, 952, 596, 3196, 3054, 547, 3635, 267, 596, 4440, 4465, 1406, 581, 3478, 519, 2164, 596, 1616, 856, 540, 707, 15904, 563, 1321, 269, 7984, 2435, 570, 847, 32035, 454, 288, 1434, 3761, 540, 1216, 568, 11613, 2629, 585, 519, 1697, 1599, 540, 707, 17256, 8778, 269, 1879, 596, 1831, 13204, 3603, 267, 707, 14401, 543, 15485, 786, 2119, 547, 12701, 1018, 2370, 1216, 621, 1281, 723, 2063, 607, 1279, 607, 2009, 269, 10251, 267, 1510, 513, 10859, 268, 6247, 656, 6908, 540, 4195, 10729, 547, 23574, 873, 856, 267, 4551, 723, 811, 942, 547, 21613, 543, 936, 16647, 3634, 3330, 519, 18241, 267, 3636, 1604, 3330, 540, 707, 23443, 628, 571, 543, 15485, 563, 763, 1034, 6654, 1129, 602, 707, 14401, 543, 15485, 616, 693, 1981, 540, 4742, 519, 1985, 2462, 16314, 28326, 13607, 585, 27033, 32698, 7103, 666, 581, 1336, 538, 519, 2681, 540, 707, 10729, 269, 1403, 707, 2095, 568, 9846, 18632, 982, 513, 12779, 12094, 540, 5835, 267, 596, 991, 547, 909, 707, 1216, 6981, 267, 607, 777, 2336, 1724, 269, 717, 719, 4469, 732, 27138, 1186, 454, 294, 719, 568, 3361, 676, 513, 1628, 909, 540, 579, 878, 3679, 799, 16358, 3278, 1472, 519, 10549, 1107, 2356, 538, 519, 3946, 543, 3952, 1107, 799, 2014, 7920, 8325, 1928, 269, 5221, 707, 14401, 991, 1216, 547, 23574, 4430, 579, 878, 3679, 856, 540, 707, 1560, 267, 18024, 568, 835, 540, 519, 7887, 2188, 799, 3565, 547, 30456, 27506, 13522, 269, 0, 763, 15887, 595, 820, 610, 519, 681, 2355, 6390, 32202, 320, 568, 513, 2757, 23886, 1014, 14735, 23608, 689, 519, 1520, 686, 1738, 6532, 540, 15887, 267, 4092, 538, 519, 13323, 540, 918, 12534, 1676, 269, 17214, 30109, 689, 30646, 267, 1989, 730, 20521, 4829, 543, 3057, 553, 577, 3626, 561, 1664, 584, 267, 621, 568, 12926, 19323, 538, 519, 3337, 540, 513, 18700, 267, 4352, 609, 4657, 2053, 513, 2603, 540, 824, 5546, 723, 849, 1831, 3833, 2442, 269, 27814, 267, 519, 14735, 568, 5116, 593, 513, 1360, 6094, 18700, 8032, 14859, 543, 519, 5011, 616, 21243, 609, 519, 1482, 14859, 267, 2870, 1507, 678, 4428, 956, 269, 898, 568, 1287, 19323, 267, 1175, 538, 922, 3169, 942, 547, 2226, 922, 5104, 545, 1465, 543, 20057, 1194, 609, 476, 6005, 4006, 269, 4706, 6492, 543, 9403, 568, 3274, 3564, 6609, 563, 2005, 568, 1767, 602, 538, 476, 14056, 278, 267, 15352, 12138, 8633, 729, 15385, 519, 1520, 686, 1738, 4262, 609, 1010, 26603, 15659, 9635, 267, 950, 789, 3576, 9675, 538, 519, 23886, 1014, 10195, 1813, 547, 519, 31587, 7088, 269, 2201, 1010, 12625, 267, 646, 13394, 3603, 519, 24130, 540, 15887, 12756, 670, 9404, 1409, 1695, 4135, 269, 769, 14696, 267, 519, 31409, 710, 562, 12584, 4941, 547, 1711, 606, 30288, 18397, 609, 513, 530, 29195, 3490, 24188, 540, 519, 26265, 540, 590, 1329, 320, 267, 799, 729, 519, 15352, 779, 4332, 2897, 269, 901, 568, 875, 519, 681, 2355, 6390, 32202, 324, 729, 4535, 563, 4913, 267, 621, 568, 849, 5156, 602, 519, 681, 2355, 6390, 32202, 324, 729, 2907, 1373, 19323, 538, 519, 5321, 540, 519, 5763, 5006, 3885, 540, 23886, 807, 827, 1614, 4627, 1296, 1354, 519, 12625, 540, 519, 15352, 12138, 8633, 269, 5565, 4627, 1296, 2663, 267, 519, 562, 12584, 540, 853, 269, 20900, 779, 27694, 5828, 873, 883, 25394, 543, 1287, 789, 6603, 519, 3946, 540, 519, 31409, 710, 540, 853, 269, 12448, 269, 3502, 782, 2021, 941, 1360, 16994, 547, 1118, 621, 693, 602, 942, 269, 1924, 267, 1152, 513, 1906, 3893, 1031, 547, 1818, 621, 563, 763, 3312, 11600, 568, 513, 5728, 543, 568, 6854, 538, 519, 21517, 540, 519, 31409, 710, 30745, 540, 853, 269, 12448, 540, 15887, 269, 1717, 267, 621, 568, 1767, 602, 519, 1967, 540, 713, 14735, 6013, 538, 519, 7041, 540, 922, 11423, 269, 634, 11423, 1058, 581, 9054, 12184, 609, 3946, 1896, 2053, 547, 31498, 600, 622, 519, 5820, 1134, 269, 769, 1840, 267, 519, 2179, 540, 5798, 786, 4096, 593, 519, 4110, 540, 15018, 540, 519, 30646, 563, 2414, 8137, 519, 14735, 267, 519, 1990, 652, 540, 20521, 5613, 543, 3057, 553, 577, 3626, 561, 1664, 584, 616, 1031, 269, 634, 3057, 553, 577, 3626, 561, 1664, 584, 568, 513, 22269, 561, 1664, 584, 1572, 544, 1551, 2444, 553, 547, 799, 4006, 267, 30646, 543, 9932, 616, 3773, 269, 634, 1253, 650, 622, 568, 2451, 547, 9921, 585, 513, 5934, 540, 476, 273, 1296, 538, 11849, 3574, 29054, 267, 799, 798, 711, 4483, 922, 2681, 547, 519, 561, 1664, 584, 269, 3973, 4006, 568, 3773, 563, 9213, 713, 14735, 568, 1500, 593, 2027, 14026, 610, 593, 14812, 899, 14914, 267, 8285, 267, 12311, 26204, 610, 13171, 523, 902, 269, 769, 23886, 807, 267, 621, 568, 2141, 1767, 602, 519, 681, 2355, 6390, 32202, 324, 1590, 2141, 581, 1459, 693, 12311, 26204, 267, 6382, 519, 11812, 1131, 581, 2495, 1652, 269, 2107, 1454, 8338, 267, 621, 568, 1256, 2808, 547, 581, 513, 3983, 522, 5443, 563, 3080, 540, 519, 1655, 681, 2355, 6390, 32202, 324, 568, 1500, 676, 519, 966, 559, 2742, 5696, 3534, 29221, 2044, 593, 15887, 6532, 269, 966, 559, 2742, 3893, 513, 4960, 547, 1451, 875, 547, 1118, 713, 14735, 543, 2221, 267, 8843, 621, 609, 3025, 998, 1200, 29221, 2044, 936, 519, 1296, 269, 2701, 814, 4465, 1896, 17758, 267, 1519, 519, 23886, 1014, 16101, 585, 519, 1655, 6204, 1597, 597, 269, 2311, 519, 966, 559, 2742, 5696, 3534, 29221, 2044, 267, 835, 4991, 547, 1294, 875, 713, 14735, 4991, 1500, 607, 1134, 607, 6492, 621, 267, 2059, 609, 3833, 513, 1906, 824, 29535, 520, 612, 523, 269, 634, 1034, 2757, 1259, 540, 9306, 621, 568, 538, 519, 3337, 540, 513, 2879, 841, 267, 2705, 267, 519, 5546, 540, 12271, 543, 28608, 13063, 723, 849, 1831, 3833, 2442, 891, 2395, 269, 0, 28398, 532, 585, 17848, 5937, 337, 1508, 10021, 532, 540, 14606, 17667, 17460, 1546, 1260, 6570, 2052, 13724, 7844, 13437, 454, 763, 4205, 1063, 2371, 543, 3037, 1404, 513, 3844, 1909, 538, 519, 8647, 540, 18714, 8134, 543, 519, 2518, 3327, 4783, 269, 4107, 540, 891, 4205, 1491, 1747, 538, 519, 29127, 14459, 267, 519, 7997, 540, 3037, 602, 27788 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 596, 3580, 1265, 589, 27318, 779, 2201, 519, 7186, 540, 12292, 3833, 28457, 748, 269, 3371, 616, 930, 540, 519, 968, 30440, 892, 4843, 538, 519, 9241, 5950, 1101, 2296, 8144, 540, 713, 3504, 1655, 10706, 267, 2854, 676, 513, 4936, 268, 11391, 790, 1085, 11171, 3957, 589, 27318, 538, 519, 1101, 2540, 595, 9950, 269, 912, 2691, 1835, 6951, 2695, 1177, 330, 267, 789, 3142, 593, 4764, 29636, 269, 1924, 621, 568, 1767, 11652, 849, 267, 602, 1835, 6951, 723, 930, 4990, 540, 1379, 799, 513, 709, 4513, 2021, 543, 3123, 873, 547, 7006, 1619, 4638, 7957, 832, 269, 594, 1491, 713, 693, 519, 2262, 540, 1346, 945, 723, 2938, 621, 4755, 563, 763, 18057, 539, 18422, 568, 4535, 538, 16095, 269, 898, 568, 1360, 1507, 693, 4332, 267, 855, 621, 9428, 547, 513, 5458, 2450, 269, 4706, 17987, 568, 3043, 282, 922, 1394, 267, 2212, 267, 543, 5011, 616, 538, 5652, 3109, 269, 4706, 5023, 267, 1498, 267, 568, 1507, 267, 543, 596, 3112, 1294, 922, 4522, 269, 898, 568, 1360, 1279, 543, 6366, 269, 898, 22655, 1390, 9424, 540, 3165, 267, 855, 922, 5172, 1426, 568, 1480, 17145, 269, 898, 814, 2370, 4222, 267, 855, 922, 2450, 3947, 621, 10100, 269, 1879, 621, 12034, 513, 812, 10977, 610, 11362, 267, 621, 14380, 547, 519, 2627, 267, 30617, 922, 1394, 267, 543, 1793, 4461, 1524, 593, 1864, 609, 782, 922, 1522, 267, 14178, 922, 3259, 936, 519, 25031, 812, 899, 513, 8122, 543, 5329, 1864, 689, 8375, 547, 13236, 269, 634, 812, 10523, 267, 543, 519, 18422, 26846, 1176, 21593, 922, 21649, 563, 289, 4141, 582, 807, 814, 1100, 18253, 269, 1358, 798, 711, 4283, 689, 519, 15231, 11662, 540, 2274, 629, 1228, 807, 267, 543, 952, 835, 21128, 676, 8009, 621, 10523, 563, 763, 12354, 22455, 568, 6067, 9037, 267, 14229, 21294, 267, 543, 642, 528, 20160, 267, 543, 621, 786, 3548, 4376, 269, 898, 568, 4440, 519, 1034, 9631, 16622, 5387, 13442, 538, 519, 4262, 269, 3371, 568, 519, 6169, 281, 538, 2053, 540, 14000, 267, 621, 786, 3548, 835, 540, 922, 1378, 17895, 8163, 267, 3976, 1818, 909, 585, 513, 3668, 540, 10352, 269, 1879, 1732, 2053, 2097, 267, 621, 9428, 1394, 519, 7508, 18215, 269, 7186, 3976, 3947, 621, 513, 4712, 7594, 538, 8090, 540, 1616, 563, 4263, 1101, 267, 2542, 2201, 519, 7186, 540, 12292, 2488, 513, 1159, 1872, 2631, 540, 31768, 267, 899, 25884, 513, 2413, 15061, 4909, 626, 8778, 593, 5137, 1143, 610, 2916, 281, 19039, 569, 693, 12918, 609, 519, 4681, 540, 2022, 268, 5319, 13874, 2257, 267, 9141, 811, 676, 627, 574, 1910, 982, 7954, 267, 543, 609, 606, 12212, 18198, 796, 29207, 341, 1464, 563, 3719, 540, 1576, 267, 621, 779, 28025, 15490, 585, 803, 547, 19184, 513, 1101, 10601, 2278, 538, 609, 519, 4550, 1606, 7220, 3401, 540, 519, 476, 2641, 560, 2540, 772, 2529, 269, 17044, 9549, 281, 2991, 782, 267, 589, 27318, 968, 330, 2908, 607, 1454, 607, 1022, 1268, 540, 1010, 1554, 827, 2831, 2223, 11339, 519, 1433, 779, 6037, 1807, 15535, 5062, 11243, 324, 538, 1010, 4367, 267, 543, 2693, 16941, 593, 519, 1655, 2959, 646, 1223, 1265, 269, 634, 4550, 1606, 7220, 2413, 15061, 267, 593, 519, 824, 1688, 267, 22393, 6772, 23697, 5553, 540, 3964, 2257, 538, 1931, 547, 3914, 1394, 547, 513, 12863, 267, 811, 17399, 656, 942, 585, 20833, 10375, 968, 13700, 3578, 338, 3034, 24916, 267, 1256, 589, 27318, 4769, 1406, 3100, 547, 3494, 782, 1010, 1378, 13032, 3333, 527, 267, 547, 946, 513, 2413, 2296, 30351, 658, 1143, 269, 1261, 1419, 3576, 1416, 547, 14487, 1010, 811, 856, 1633, 880, 968, 30440, 892, 547, 24319, 267, 543, 646, 28069, 6366, 13050, 896, 12827, 873, 281, 968, 1492, 21072, 2161, 1765, 2288, 594, 1810, 1406, 3494, 873, 585, 513, 8792, 20196, 2560, 1547, 7536, 27407, 267, 5062, 11243, 324, 12034, 589, 27318, 607, 1373, 2484, 1354, 1010, 942, 538, 3841, 1746, 6071, 581, 6814, 609, 28429, 7907, 2356, 2938, 607, 1480, 912, 27269, 649, 1265, 891, 13366, 993, 6748, 267, 543, 1318, 569, 865, 269, 10705, 649, 1265, 873, 856, 1633, 880, 267, 18174, 880, 267, 18642, 269, 8616, 594, 14353, 602, 711, 865, 1279, 689, 1631, 1765, 604, 972, 568, 513, 711, 865, 1279, 689, 1631, 585, 721, 1668, 1176, 7226, 11546, 341, 28666, 3425, 1765, 27023, 1235, 786, 4898, 693, 938, 1378, 14255, 633, 974, 543, 818, 5766, 766, 267, 693, 519, 2219, 602, 1893, 267, 7553, 267, 543, 1256, 2601, 616, 13344, 540, 3425, 4805, 563, 13126, 281, 2201, 519, 7186, 540, 12292, 454, 293, 27518, 267, 5147, 476, 4905, 267, 476, 1001, 272, 476, 272, 281, 4366, 6751, 454, 292, 11065, 269, 6519, 568, 835, 540, 1250, 5172, 2470, 5830, 945, 779, 711, 8209, 1634, 607, 513, 2470, 5856, 269, 3571, 5929, 1557, 4015, 2290, 2494, 779, 29133, 267, 5312, 1782, 1010, 1272, 593, 513, 19051, 3484, 267, 18795, 593, 1250, 2835, 3559, 325, 2282, 16334, 597, 267, 700, 2100, 345, 267, 543, 2274, 641, 1245, 585, 922, 13801, 25894, 538, 24223, 513, 1272, 5030, 2673, 547, 519, 2244, 563, 288, 1804, 851, 540, 602, 1272, 267, 7812, 3244, 338, 19595, 721, 538, 634, 20048, 1834, 5623, 267, 729, 6519, 779, 2078, 609, 7068, 269, 3244, 338, 267, 519, 2278, 540, 513, 1007, 1433, 593, 6519, 779, 968, 324, 24443, 1272, 538, 2470, 892, 602, 3366, 547, 519, 5137, 540, 519, 1453, 779, 5929, 23770, 779, 5680, 267, 1336, 1282, 1010, 1382, 602, 968, 333, 5847, 3116, 827, 1496, 19669, 316, 9575, 1250, 1378, 9345, 811, 982, 1010, 10182, 4724, 2831, 3034, 1103, 4948, 1272, 267, 6519, 4718, 2831, 609, 519, 2070, 540, 513, 16027, 543, 606, 23153, 2067, 626, 269, 1261, 6785, 875, 547, 2333, 4212, 2504, 1851, 1010, 17944, 267, 875, 547, 546, 1442, 513, 23758, 781, 2766, 267, 875, 547, 2285, 513, 6477, 606, 679, 9047, 269, 8616, 267, 15151, 1510, 513, 31300, 518, 540, 1018, 513, 18673, 1131, 1289, 5042, 4744, 28585, 267, 646, 849, 4718, 2831, 607, 7209, 11656, 15274, 593, 1010, 1378, 535, 4545, 3814, 3460, 269, 1261, 14648, 513, 11785, 1768, 8175, 779, 13626, 607, 267, 968, 296, 6557, 538, 2648, 543, 594, 6557, 2469, 21173, 1701, 1879, 1010, 18911, 5264, 779, 2156, 18344, 23041, 14616, 3294, 856, 267, 646, 1767, 646, 1336, 519, 32138, 968, 9227, 5180, 609, 741, 2458, 1513, 5828, 909, 267, 25738, 593, 741, 3946, 543, 3168, 899, 513, 6777, 3146, 332, 15772, 14228, 896, 519, 4432, 593, 513, 15280, 5162, 779, 28813, 1848, 2986, 1010, 10828, 3320, 29134, 546, 778, 3333, 1495, 267, 12049, 267, 6519, 5206, 267, 968, 4517, 950, 594, 2626, 1010, 533, 699, 332, 696, 800, 15072, 693, 519, 7450, 543, 3180, 519, 7450, 1930, 585, 1864, 547, 3802, 998, 267, 646, 13515, 538, 519, 1647, 543, 8279, 513, 16906, 267, 1175, 547, 3180, 803, 909, 3034, 763, 6158, 2831, 538, 6519, 779, 1453, 779, 2835, 9789, 17178, 23770, 267, 519, 10856, 26573, 9741, 267, 513, 1920, 540, 2220, 753, 538, 634, 11686, 564, 540, 519, 4210, 534, 1765, 26200, 840, 15479, 832, 547, 2221, 779, 1402, 2275, 11857, 968, 321, 8475, 540, 6158, 2831, 2223, 11339, 3244, 338, 267, 855, 547, 934, 2224, 6519, 540, 6071, 10236, 31532, 585, 922, 1378, 19160, 267, 607, 6754, 14562, 26919, 2899, 1705, 267, 568, 547, 4413, 519, 1448, 912, 296, 10990, 602, 1010, 10236, 31532, 8507, 538, 513, 10638, 540, 8343, 269, 594, 1589, 602, 267, 14669, 547, 14562, 26919, 779, 967, 1112, 618, 267, 585, 6519, 1268, 2305, 729, 513, 1106, 540, 6568, 1765, 20130, 1259, 540, 28043, 519, 7934, 1063, 1582, 543, 824, 20196, 1500, 1864, 811, 3222, 540, 824, 7068, 685, 4641, 267, 711, 1447, 563, 19669, 21503, 3662, 2623, 7920, 569, 543, 11368, 2067, 2257, 5013, 883, 1010, 1603, 269, 5047, 267, 3244, 338, 733, 1742, 267, 3662, 3197, 4847, 6519, 547, 6655, 811, 982, 646, 5128, 1223, 3006, 1590, 518, 267, 2523, 950, 646, 2893, 1524, 547, 4050, 23770, 779, 5680, 267, 968, 320, 9583, 17608, 9661, 540, 6158, 2831, 602, 267, 19433, 1227, 267, 1131, 581, 20807, 539, 676, 9019, 779, 1085, 344, 1492, 689, 519, 1360, 1101, 4845, 892, 912, 2414, 2328, 827, 519, 1034, 1271, 2152, 538, 1010, 1272, 267, 713, 14156, 1950, 543, 4626, 573, 812, 267, 945, 1185, 5828, 476, 2004, 1354, 646, 546, 1882, 883, 23770, 779, 5680, 267, 8120, 547, 519, 5639, 602, 1185, 6039, 1864, 538, 519, 2250, 269, 1261, 554, 573, 3297, 2831, 267, 1010, 5172, 1004, 563, 5649, 811, 4930, 593, 938, 3347, 609, 2831, 538, 519, 1699, 3390, 540, 7780, 928, 24153, 563, 13126, 281, 634, 20048, 1834, 5623, 454, 267, 13931, 896, 454, 307, 11698, 267, 4873, 476, 2641, 267, 476, 1001, 272, 476, 273, 281, 5881, 6751, 454, 763, 32543, 3174, 540, 20384, 538, 519, 7187, 27743, 15142, 814, 20335, 9575, 909, 538, 513, 2528, 2112, 267, 6276, 5261, 18582, 5459, 5359, 538, 3047, 6816, 4750, 11652, 519, 15784, 568, 711, 1256, 8209, 782, 827, 519, 20384, 269, 898, 779, 827, 519, 2462, 267, 3983, 2229, 5329, 513, 1434, 812, 1524, 269, 13360, 525, 18582, 5459, 912, 2690, 5756, 267, 519, 27743, 13738, 2829, 723, 1044, 519, 4099, 540, 606, 3665, 1318, 26310, 2528, 602, 22842, 519, 3239, 540, 812, 607, 968, 8705, 1874, 2223, 17767, 1152, 2199, 543, 1533, 10350, 607, 16048, 267, 543, 15156, 4187, 1765, 16838, 11439, 4187, 1765, 28785, 560, 519, 5313, 2229, 269, 1677, 2818, 540, 713, 2528, 267, 18896, 32543, 3174, 2968, 513, 27647, 1944, 3090, 540, 9228, 14213, 338, 593, 741, 2123, 5191, 269, 18650, 729, 16122, 269, 1809, 6466, 22215, 519, 5313, 2229, 1223, 1291, 547, 7890, 267, 11318, 20384, 729, 513, 2797, 3804, 1369, 3914, 1765, 31138, 519, 1367, 24116, 1223, 798, 269, 1924, 14957, 585, 519, 11318, 540, 20384, 2968, 513, 21285, 6370, 267, 606, 12180, 1907, 547, 3914, 856, 547, 782, 1346, 14220, 827, 2825, 6042, 267, 7784, 4031, 267, 543, 1857, 2244, 4507, 269, 4595, 519, 2038, 476, 1220, 271, 338, 267, 543, 609, 2810, 2205, 18834, 2094, 476, 1220, 280, 267, 4550, 2914, 6504, 15628, 723, 15469, 519, 3239, 540, 20384, 607, 1629, 976, 1765, 323, 1047, 848, 8573, 5200, 267, 5906, 267, 543, 4914, 563, 294, 756, 5459, 6257, 875, 5375, 4550, 2914, 6504, 4229, 723, 13234, 998, 25749, 267, 6937, 267, 543, 12932, 9179, 267, 1519, 20822, 6411, 971, 607, 544, 9430, 5961, 540, 4666, 18896, 4996, 1186, 547, 605, 2914, 6504, 15156, 269, 6270, 12485, 267, 646, 3081, 267, 723, 12303, 3623, 10642, 2199, 18896, 15156, 267, 3850, 18896, 11058, 619, 547, 9446, 519, 3390, 607, 513, 17137, 268, 951, 639, 268, 8083, 11107, 6370, 563, 15987, 18582, 5459, 779, 1650, 6212, 593, 519, 4639, 267, 930, 11068, 13523, 2829, 616, 21679, 609, 1082, 540, 519, 1482, 18896, 31193, 2152, 267, 15151, 538, 513, 1447, 20833, 543, 13948, 9901, 5790, 269, 3807, 2063, 3018, 267, 1857, 5873, 902, 538, 9835, 14943, 1749, 267, 16506, 267, 543, 3057, 638, 8291, 267, 12309, 267, 13631, 7366, 540, 1004, 267, 5176, 782, 540, 873, 538, 3870, 540, 9427, 5313, 13155, 2249, 20038, 585, 20384, 12544, 1847, 2907, 1500, 538, 2947, 8832, 9412, 625, 2829, 543, 1631, 1373, 2808, 538, 519, 4279, 20463, 3148, 563, 2414, 9794, 689, 3908, 3377, 6589, 540, 891, 1079, 18896, 5873, 902, 267, 789, 941, 711, 2523, 1543, 1190, 610, 9901, 281, 634, 772, 2529, 269, 12551, 543, 13812, 6796, 267, 519, 16506, 543, 12309, 13623, 540, 2067, 2200, 267, 543, 1034, 540, 519, 28752, 8815, 602, 20384, 723, 16626, 547, 519, 1448, 1141, 789, 666, 581, 7307, 547, 2057, 7526, 1063, 20384, 543, 3425, 269, 12559, 550, 519, 8701, 1944, 20116, 543, 851, 16388, 2022, 1005, 267, 621, 5526, 602, 5310, 2601, 666, 4341, 519, 1554, 538, 930, 2127, 563, 763, 772, 2529, 269, 12551, 543, 13812, 6796, 568, 16561, 1857, 8292, 593, 519, 4279, 20463, 3148, 18896, 11556, 998, 5147, 476, 276, 563, 13126, 281, 3047, 6816, 4750, 267, 772, 2529, 269, 12551, 543, 13812, 6796, 454, 267, 13931, 896, 454, 26607, 11888, 267, 4728, 476, 6349, 267, 476, 1001, 272, 476, 1556, 281, 5392, 7537, 454, 14722, 945, 1353, 3552, 2831, 723, 1279, 5185, 513, 14196, 281, 769, 1931, 547, 1353, 741, 5396, 267, 789, 1590, 1205, 1360, 2673, 547, 519, 2831, 267, 3006, 1256, 13830, 610, 22471, 559, 1944 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 22252, 894, 16594, 5149, 281, 4197, 519, 772, 332, 19207, 1107, 589, 10815, 518, 2943, 31056, 9099, 15815, 15317, 720, 692, 29020, 281, 1635, 519, 1439, 540, 713, 1770, 267, 596, 786, 581, 2111, 547, 5581, 543, 2697, 519, 772, 332, 19207, 267, 922, 4644, 538, 9099, 2528, 267, 543, 519, 12738, 3238, 538, 7900, 621, 269, 1411, 786, 849, 1174, 519, 7355, 585, 12419, 606, 2500, 13181, 4633, 543, 4019, 891, 3741, 547, 1459, 707, 1378, 4633, 827, 519, 772, 332, 19207, 780, 8893, 476, 272, 281, 20223, 543, 17291, 22252, 894, 4325, 16696, 692, 2304, 13181, 4633, 6663, 547, 13599, 606, 5304, 827, 513, 1808, 1888, 1510, 11589, 2123, 8369, 610, 19163, 585, 513, 1880, 1448, 540, 2070, 269, 5502, 267, 971, 513, 4633, 6799, 5013, 267, 6941, 2035, 267, 543, 8843, 4030, 602, 5512, 19700, 547, 22962, 741, 1620, 540, 519, 1641, 693, 1688, 269, 1879, 8600, 606, 13181, 4633, 267, 10529, 1058, 2057, 21678, 1893, 543, 1445, 9003, 593, 3246, 4977, 1344, 1759, 593, 6325, 2959, 269, 1677, 6218, 2436, 513, 4633, 4018, 5809, 607, 13181, 267, 2307, 3054, 952, 621, 10742, 519, 1739, 7355, 1384, 265, 13068, 3483, 281, 1772, 519, 10584, 781, 6662, 547, 1683, 23610, 1344, 888, 265, 8629, 2032, 281, 6496, 519, 4633, 31831, 689, 7479, 8172, 610, 20310, 519, 5304, 888, 265, 6452, 5596, 281, 3657, 519, 3877, 4843, 2953, 543, 6462, 676, 23674, 2963, 888, 265, 9257, 281, 1772, 519, 1570, 25401, 11295, 543, 2653, 547, 1246, 888, 265, 10748, 1466, 6278, 281, 6496, 519, 10584, 946, 2502, 2553, 547, 2226, 26575, 1719, 2496, 8893, 476, 273, 281, 4937, 7600, 4997, 585, 513, 6153, 22252, 894, 16594, 692, 2414, 4739, 606, 5140, 13181, 4633, 267, 1832, 538, 2247, 519, 1739, 1655, 2853, 1384, 272, 269, 10312, 593, 513, 2582, 1888, 281, 8564, 513, 7522, 2460, 1369, 707, 6626, 6249, 865, 602, 596, 666, 2263, 621, 8499, 543, 14429, 1947, 269, 1280, 1383, 267, 3079, 540, 7234, 782, 7332, 19623, 1137, 267, 13404, 593, 519, 772, 332, 19207, 4481, 563, 273, 269, 5700, 707, 5304, 281, 14419, 1018, 3344, 540, 519, 1888, 616, 1034, 4143, 543, 4277, 547, 873, 269, 901, 2337, 2327, 789, 2611, 7722, 2429, 519, 4633, 563, 274, 269, 3629, 2796, 281, 20644, 4282, 1344, 602, 20964, 519, 2956, 540, 519, 1641, 543, 5587, 5809, 1946, 621, 6927, 563, 275, 269, 5029, 1125, 2093, 3927, 281, 19147, 707, 1543, 883, 6810, 1210, 3617, 13289, 1063, 12415, 269, 901, 2306, 621, 4443, 585, 19700, 547, 10110, 1950, 3584, 563, 276, 269, 8081, 6811, 609, 4396, 2963, 281, 25737, 18019, 2959, 899, 4081, 13746, 267, 2835, 267, 610, 4274, 11042, 950, 9306, 1239, 610, 7194, 563, 277, 269, 3680, 3822, 281, 25529, 547, 10750, 1893, 8164, 2009, 547, 1118, 707, 5048, 3015, 547, 3025, 269, 1403, 2930, 2474, 616, 2556, 267, 2141, 2491, 873, 5693, 563, 278, 269, 18918, 707, 5304, 281, 14146, 9423, 267, 17720, 2055, 267, 23877, 267, 610, 824, 2994, 602, 7001, 3007, 543, 3895, 12802, 563, 279, 269, 7736, 609, 1764, 281, 1230, 2850, 676, 28388, 1883, 2798, 543, 6028, 9458, 609, 513, 3532, 3803, 2219, 610, 2243, 780, 8893, 476, 274, 281, 11683, 595, 20975, 540, 22252, 894, 4325, 16696, 692, 1103, 845, 894, 18531, 2887, 896, 1585, 6688, 4470, 593, 741, 3119, 3804, 269, 2368, 1455, 2010, 1331, 4214, 18531, 267, 10855, 18531, 267, 28706, 18531, 267, 17431, 18531, 267, 543, 3308, 5351, 17466, 18531, 269, 10738, 519, 7706, 540, 3909, 2090, 267, 1082, 13181, 18531, 1522, 4099, 1472, 3140, 2621, 267, 2686, 2853, 267, 11705, 337, 1400, 4978, 267, 610, 5289, 5515, 780, 8893, 476, 275, 281, 7981, 19047, 538, 5548, 1853, 532, 606, 22252, 894, 16594, 6168, 16241, 13756, 692, 2691, 5466, 3909, 2853, 899, 519, 772, 332, 19207, 267, 1491, 3063, 1416, 547, 2463, 3309, 5380, 1247, 6967, 21705, 547, 519, 4295, 28975, 540, 519, 2259, 3294, 269, 5457, 267, 707, 1909, 568, 547, 2671, 4977, 543, 7059, 1344, 2864, 982, 14957, 585, 1022, 1880, 5132, 2245, 269, 2142, 6213, 547, 1761, 20887, 610, 11475, 4478, 519, 4984, 543, 30082, 2232, 873, 998, 707, 6765, 269, 3958, 267, 11760, 7648, 1369, 3661, 1949, 543, 5431, 602, 1367, 2833, 949, 8428, 3648, 1256, 1851, 9439, 540, 519, 1482, 5132, 780, 8893, 476, 276, 281, 16792, 22252, 894, 16594, 14362, 547, 9181, 532, 519, 772, 332, 19207, 692, 3086, 602, 596, 723, 4121, 827, 2870, 606, 13181, 4633, 1577, 721, 4019, 891, 3741, 547, 1865, 519, 772, 332, 19207, 267, 513, 14758, 31145, 5340, 676, 12356, 780, 17138, 281, 834, 8139, 519, 20154, 17714, 540, 772, 332, 19207, 5016, 7072, 281, 10670, 676, 4259, 519, 3942, 585, 707, 4901, 267, 7713, 1018, 519, 772, 332, 19207, 568, 543, 1946, 621, 6585, 4644, 538, 9099, 2528, 269, 631, 1549, 922, 10923, 4087, 630, 9288, 17433, 267, 18142, 17936, 264, 543, 1921, 621, 547, 3677, 4798, 899, 5132, 267, 20174, 267, 543, 2146, 780, 28694, 1384, 288, 269, 8466, 12745, 281, 16684, 569, 10250, 519, 8129, 540, 519, 772, 332, 19207, 1394, 547, 21024, 14062, 543, 1010, 5067, 1772, 8676, 601, 267, 10771, 922, 2620, 5072, 538, 9099, 1686, 563, 289, 269, 18948, 609, 670, 1690, 329, 281, 31692, 880, 1063, 519, 772, 332, 19207, 543, 519, 5993, 670, 1690, 329, 31145, 267, 10223, 10486, 543, 3604, 563, 290, 269, 17778, 12833, 9407, 538, 27400, 519, 772, 332, 19207, 281, 3590, 5597, 7291, 519, 5311, 540, 32537, 2404, 609, 519, 772, 332, 19207, 267, 1519, 1775, 327, 1090, 630, 761, 783, 19454, 1070, 512, 1177, 2378, 630, 15132, 636, 3711, 1637, 1472, 519, 18087, 19487, 1070, 1094, 262, 328, 630, 337, 7342, 1063, 6380, 320, 543, 3057, 11445, 15113, 1070, 543, 512, 26698, 572, 518, 630, 26211, 2287, 610, 695, 3058, 2212, 4552, 1916, 291, 269, 7073, 11154, 725, 281, 17372, 2413, 11941, 1500, 1813, 547, 6639, 7760, 610, 5989, 7835, 267, 971, 607, 2228, 14261, 3157, 610, 6283, 9283, 563, 292, 269, 9608, 14484, 687, 281, 9523, 2984, 540, 1346, 945, 723, 24389, 593, 713, 3460, 267, 20515, 875, 621, 8309, 547, 741, 5289, 2208, 543, 2631, 540, 10362, 1369, 519, 2518, 7332, 2146, 780, 6962, 281, 5681, 3405, 1125, 519, 1292, 3334, 540, 519, 772, 332, 19207, 267, 556, 3438, 908, 922, 7096, 2495, 543, 10083, 547, 4207, 9099, 1272, 269, 11559, 2417, 7279, 827, 713, 10723, 9161, 267, 18136, 19700, 547, 3343, 3606, 2200, 610, 4497, 538, 5188, 827, 741, 1378, 2833, 543, 24221, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 29038, 16294, 543, 2697, 13181, 18531, 563, 268, 11512, 543, 5659, 519, 2489, 7355, 585, 513, 1434, 13181, 4633, 563, 268, 14674, 543, 1592, 519, 2101, 6688, 540, 13181, 18531, 563, 268, 14674, 543, 2491, 519, 2027, 9270, 547, 581, 2016, 538, 519, 13181, 4633, 6194, 1184, 563, 268, 15233, 13181, 4633, 5829, 1702, 543, 1983, 883, 519, 1646, 267, 6881, 267, 543, 4879, 540, 13181, 18531, 563, 14881, 3112, 2995, 519, 5168, 827, 4376, 8259, 594, 21334, 1373, 513, 2875, 267, 3395, 543, 1565, 1945, 1007, 1169, 1554, 269, 634, 811, 594, 1451, 267, 519, 20501, 1250, 2070, 540, 519, 1158, 3587, 3034, 1700, 306, 8205, 5842, 31712, 4179, 2517, 523, 25769, 3820, 28293, 13478, 8205, 318, 26596, 31712, 454, 763, 11121, 10839, 1657, 689, 590, 8205, 5842, 31712, 267, 513, 2475, 12677, 10564, 267, 31075, 267, 7548, 267, 543, 19191, 945, 7153, 856, 540, 519, 4563, 8551, 11873, 538, 519, 476, 3422, 271, 779, 630, 10059, 2517, 523, 25769, 3820, 28293, 270, 14937, 318, 6635, 1206, 318, 31161, 618, 1070, 18991, 19306, 875, 649, 607, 513, 2249, 543, 2043, 949, 11441, 547, 1020, 543, 1628, 1702, 4882, 330, 1571, 2429, 938, 3076, 564, 574, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23781, 24702, 1315, 5771, 1315, 681, 3770, 338, 1299, 6657, 1315, 772, 332, 19207, 630, 27832, 518, 15815, 15317, 720, 1040, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8702, 547, 938, 3460, 998, 942, 543, 3332, 256, 4653, 267, 649, 2811, 2469, 547, 2263, 513, 4241, 1974, 538, 4436, 1686, 1572, 1284, 31483, 4147, 6291, 543, 1451, 827, 513, 2027, 1826, 540, 3209, 1634, 607, 519, 645, 843, 31258, 668, 534, 269, 5213, 1405, 5855, 952, 891, 2474, 3280, 7294, 910, 676, 519, 1439, 540, 713, 3992, 267, 596, 3513, 581, 1210, 873, 899, 5294, 2439, 5575, 267, 1577, 781, 2951, 1394, 547, 2038, 476, 866, 628, 2540, 5125, 267, 1282, 513, 942, 1634, 607, 1284, 31483, 4147, 6291, 269, 901, 5736, 729, 3957, 1310, 519, 2749, 540, 1284, 31483, 267, 1141, 1082, 4583, 5830, 543, 5159, 5030, 543, 5249, 269, 1358, 5059, 593, 2870, 1148, 543, 3332, 602, 15469, 1480, 2418, 971, 607, 2601, 267, 5191, 267, 543, 13919, 269, 1452, 4798, 941, 2523, 1271, 1317, 789, 10630, 1004, 781, 13922, 543, 9909, 585, 513, 1732, 1158, 1739, 519, 3943, 7169, 543, 519, 16486, 4577, 12668, 780, 3086, 267, 4952, 1373, 513, 1762, 1268, 3395, 909, 1282, 713, 942, 269, 1411, 1522, 1745, 11821, 827, 707, 1747, 538, 2486, 543, 7334, 827, 1018, 2186, 540, 2937, 596, 1616, 547, 1831, 269, 2334, 781, 1141, 519, 645, 843, 31258, 668, 534, 2501, 538, 256, 589, 645, 843, 31258, 668, 534, 630, 29455, 536, 843, 27984, 29330, 268, 19172, 2173, 23167, 264, 568, 513, 4947, 6361, 21943, 1650, 602, 5205, 513, 1915, 781, 2123, 2208, 543, 1646, 269, 634, 2165, 3294, 1797, 834, 7224, 767, 540, 2069, 257, 538, 4436, 269, 1306, 649, 1246, 519, 1292, 1915, 781, 3460, 267, 649, 3605, 875, 741, 2833, 3337, 873, 883, 519, 1268, 789, 786, 6038, 1831, 780, 3080, 2442, 1383, 540, 513, 645, 843, 31258, 668, 534, 568, 20435, 16423, 32184, 13153, 3619, 9220, 781, 834, 310, 559, 25030, 2725, 3563, 781, 2561, 1370, 1182, 1222, 1701, 15618, 538, 476, 9692, 277, 267, 621, 6645, 519, 1650, 540, 30247, 2725, 3563, 267, 945, 3762, 1010, 6899, 1272, 3297, 547, 11654, 513, 4876, 538, 14364, 269, 13966, 519, 1259, 267, 646, 13341, 1114, 1004, 543, 3871, 602, 4161, 1864, 547, 556, 24834, 10663, 1010, 4978, 543, 3853, 269, 3414, 8062, 543, 5513, 2827, 267, 30247, 9428, 607, 513, 1268, 543, 5555, 9060, 1010, 3020, 10912, 780, 4504, 3419, 5224, 569, 267, 1256, 1498, 713, 5339, 9135, 7153, 1282, 1284, 31483, 4147, 6291, 267, 922, 5072, 666, 1869, 581, 1336, 2221, 538, 2413, 9089, 267, 9413, 267, 543, 7641, 2982, 269, 6056, 540, 16452, 25260, 1565, 9059, 693, 670, 690, 342, 11301, 267, 31530, 4777, 25054, 593, 1010, 1391, 547, 6861, 519, 2290, 23580, 538, 7083, 540, 519, 681, 902, 267, 610, 15576, 333, 1170, 17451, 1372, 523, 8165, 585, 6668, 538, 634, 12017, 518, 10632, 1107, 782, 616, 2984, 540, 3197, 18460, 1713, 14759, 1247, 10188, 4101, 6381, 780, 3383, 1946, 1281, 1620, 1284, 31483, 4147, 6291, 543, 519, 645, 843, 31258, 668, 534, 2339, 286, 1635, 3695, 713, 851, 540, 1686, 543, 3332, 267, 596, 2744, 4030, 883, 875, 2043, 11883, 609, 1689, 543, 14488, 269, 3958, 267, 596, 1020, 6568, 2509, 1866, 6849, 2147, 9620, 269, 1656, 6368, 267, 596, 5660, 875, 15851, 4798, 899, 1582, 22523, 267, 11505, 267, 543, 6043, 13469, 2429, 5481, 267, 8220, 721, 782, 269, 1924, 979, 6619, 267, 4584, 909, 513, 1433, 267, 23365, 3054, 538, 513, 9159, 9661, 540, 7004, 267, 543, 3314, 602, 1169, 21677, 5185, 568, 8806, 1776, 4316, 585, 2208, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 294, 745, 2041, 267, 18238, 269, 1323, 2271, 571, 9539, 1049, 27079, 1633, 281, 13636, 4762, 26555, 1299, 10500, 514, 885, 21661, 519, 3243, 549, 5174, 822, 4115, 27079, 267, 476, 4489, 279, 268, 4198, 276, 269, 11785, 5441, 267, 4972, 540, 3778, 269, 20180, 528, 281, 8061, 514, 744, 269, 623, 31789, 267, 12832, 1961, 631, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 585, 12555, 563, 12640, 520, 267, 24061, 267, 543, 5104, 329, 4209, 941, 30042, 538, 519, 4095, 1016, 29657, 676, 476, 12010, 271, 14514, 282, 12358, 652, 1709, 540, 13265, 543, 23820, 4166, 4553, 269, 4446, 2917, 543, 10568, 14713, 1765, 531, 784, 609, 519, 29143, 1709, 540, 12418, 267, 5097, 13265, 543, 23820, 1765, 11666, 4240, 538, 2725, 15590, 3258, 327, 2528, 676, 476, 8517, 271, 268, 7785, 271, 14514, 269, 476, 901, 1974, 849, 4718, 519, 1101, 29143, 1709, 540, 519, 17707, 269, 3397, 549, 29009, 1143, 538, 3127, 3769, 26986, 3107, 267, 9544, 7031, 538, 9343, 1765, 32355, 540, 1079, 610, 540, 3670, 11652, 13936, 10286, 538, 11491, 2456, 269, 476, 1635, 519, 476, 276, 628, 26992, 14514, 6694, 2950, 2968, 7839, 538, 22758, 269, 29158, 729, 16916, 676, 519, 476, 276, 628, 26992, 14514, 268, 275, 628, 26992, 14514, 269, 16329, 1670, 2963, 6920, 602, 7573, 729, 513, 851, 540, 519, 4095, 2732, 676, 476, 8517, 271, 14514, 269, 634, 15610, 27429, 1765, 517, 519, 1641, 540, 519, 1101, 1978, 16916, 7573, 1765, 9302, 602, 281, 589, 1297, 540, 4529, 723, 2963, 540, 2038, 7573, 14713, 267, 1519, 3624, 267, 3127, 267, 543, 519, 12977, 540, 14913, 5607, 269, 7054, 3419, 566, 729, 2919, 538, 519, 1473, 639, 9503, 31511, 676, 1472, 476, 14596, 271, 14514, 269, 634, 2450, 543, 13884, 540, 519, 1473, 639, 10340, 8057, 607, 513, 1267, 540, 713, 5647, 267, 799, 5555, 3366, 547, 811, 9709, 17260, 1818, 946, 540, 12775, 543, 694, 9955, 269, 1488, 3832, 1670, 2963, 540, 606, 3662, 1673, 22148, 726, 965, 7389, 1394, 547, 476, 7742, 271, 7460, 538, 519, 1473, 639, 9503, 31511, 563, 1103, 12379, 334, 15330, 3821, 267, 3552, 751, 657, 842, 324, 729, 9927, 998, 1480, 5542, 883, 519, 22660, 540, 2413, 22959, 267, 811, 982, 476, 7785, 271, 1296, 3516, 269, 898, 7930, 3262, 2066, 3345, 3013, 543, 729, 519, 2101, 7693, 540, 7111, 4892, 693, 519, 942, 540, 3864, 3408, 269, 4033, 12379, 334, 26410, 7031, 1331, 7366, 540, 8677, 540, 23601, 543, 10365, 269, 23081, 10394, 729, 849, 513, 2101, 7693, 538, 30042, 6792, 543, 6239, 3013, 269, 634, 21429, 267, 835, 540, 519, 1034, 1271, 5779, 5017, 267, 729, 4440, 30042, 538, 6792, 610, 519, 772, 2529, 269, 25763, 269, 769, 12379, 334, 15330, 3821, 267, 519, 25069, 14369, 941, 3742, 6705, 543, 1185, 606, 4237, 12147, 5059, 4346, 269, 634, 2244, 1472, 8235, 6809, 322, 27494, 729, 15417, 267, 855, 711, 1804, 2614, 547, 3132, 519, 2179, 540, 1426, 2877, 585, 519, 2551, 540, 741, 9750, 10504, 269, 634, 25069, 14369, 2919, 12555, 1949, 267, 4646, 31619, 1027, 15113, 1938, 267, 543, 6992, 1242, 741, 3037, 269, 1717, 267, 741, 6574, 6694, 4480, 729, 519, 24060, 2086, 553, 267, 610, 5841, 10195, 267, 849, 1634, 607, 834, 4148, 334, 908, 10651, 2668, 1452, 941, 1031, 547, 1118, 519, 32761, 344, 2127, 1472, 519, 10720, 5078, 585, 8105, 269, 1677, 1118, 24060, 2086, 553, 267, 23668, 941, 25653, 998, 519, 23047, 1506, 10195, 543, 24528, 267, 1287, 16095, 729, 646, 9464, 593, 5458, 1319, 338, 1500, 540, 18955, 556, 2644, 269, 634, 1319, 338, 941, 12979, 1819, 676, 1119, 532, 873, 547, 9708, 9141, 883, 519, 10720, 5127, 543, 1287, 9544, 4054, 693, 741, 15174, 602, 3576, 3597, 543, 17956, 519, 5841, 10195, 18385, 269, 634, 25069, 14369, 8057, 8970, 267, 23601, 267, 5388, 267, 543, 5810, 593, 24060, 2086, 553, 563, 14532, 540, 6683, 454, 1103, 519, 1656, 525, 3148, 540, 3162, 3013, 519, 2101, 30042, 7693, 729, 12277, 267, 30042, 5310, 476, 4335, 271, 1296, 3516, 269, 14066, 8677, 540, 10365, 941, 30042, 267, 538, 3162, 3013, 267, 607, 1134, 607, 2831, 267, 1519, 561, 4594, 553, 267, 620, 335, 659, 553, 267, 543, 25647, 14918, 269, 595, 10087, 267, 1869, 513, 2101, 7693, 267, 729, 849, 30042, 538, 519, 1656, 525, 269, 634, 1656, 6756, 12977, 941, 15866, 6694, 7239, 282, 519, 5549, 553, 3576, 5413, 540, 519, 2666, 267, 9518, 1359, 519, 10779, 885, 899, 519, 1656, 6756, 1858, 543, 519, 1651, 12661, 4293, 540, 519, 4365, 269, 634, 9542, 540, 6694, 4066, 602, 2907, 941, 1031, 5892, 267, 4847, 519, 5549, 553, 547, 10891, 519, 2504, 513, 4763, 540, 2472, 540, 519, 5032, 267, 7823, 543, 26570, 267, 865, 873, 1223, 581, 2111, 547, 23799, 25572, 547, 14252, 602, 1705, 711, 723, 1569, 547, 824, 4525, 269, 634, 6639, 10781, 6603, 547, 6694, 1377, 267, 1185, 711, 1044, 2009, 1510, 519, 13781, 602, 729, 693, 519, 12871, 540, 519, 590, 23981, 5549, 320, 267, 607, 1134, 607, 519, 4155, 1062, 602, 729, 3850, 547, 4558, 18113, 519, 19122, 2200, 543, 547, 15814, 873, 585, 782, 519, 8513, 563, 292, 6141, 3345, 3013, 454, 763, 6805, 1004, 540, 519, 8109, 772, 2529, 269, 2408, 547, 723, 30042, 3875, 7031, 269, 6129, 25154, 267, 10269, 267, 8677, 540, 23601, 543, 16441, 641, 18754, 267, 607, 1134, 607, 7031, 1100, 3476, 6738, 267, 1519, 23047, 18988, 518, 543, 2370, 24061, 267, 941, 30042, 269, 476, 4033, 3552, 3536, 949, 723, 22734, 930, 16496, 14713, 267, 1519, 3552, 7573, 543, 25308, 4006, 269, 634, 1034, 1455, 8677, 540, 12450, 9440, 941, 30042, 689, 8109, 3345, 3013, 269, 5565, 2101, 7031, 267, 890, 322, 753, 543, 19270, 867, 18683, 267, 941, 8246, 14916, 538, 22300, 2053, 855, 798, 711, 2408, 547, 723, 1044, 30042, 2394, 519, 476, 866, 628, 2540, 269, 3097, 5804, 519, 476, 279, 628, 2540, 267, 519, 10120, 9099, 1158, 23384, 513, 7004, 538, 6694, 2259, 799, 814, 1044, 4330, 676, 930, 607, 519, 834, 288, 4599, 16581, 7169, 2668, 901, 7004, 729, 9141, 676, 513, 1297, 540, 2188, 1519, 519, 18236, 540, 1082, 7031, 543, 2371, 2059, 7332, 4123, 11507, 267, 519, 3262, 540, 811, 4359, 8105, 2553, 267, 543, 606, 6694, 20300, 1062, 799, 15469, 2799, 11729, 543, 4398, 269, 634, 6521, 538, 6694, 2259, 3366, 547, 1713, 2242, 538, 4346, 267, 2551, 3892, 267, 10664, 3382, 267, 6694, 2504, 267, 2551, 2157, 267, 4683, 2208, 267, 519, 3892, 540, 519, 11668, 3196, 267, 5986, 543, 2732, 267, 7802, 267, 543, 3875, 824, 3344, 540, 1272, 538, 519, 9099, 1158, 269, 476, 7332, 18318, 4988, 606, 27763, 1858, 540, 519, 6196, 2622, 267, 543, 891, 4123, 11507, 13087, 519, 18236, 540, 1082, 7031, 267, 2371, 543, 8105, 2553, 2066, 519, 9099, 1158, 267, 607, 1134, 607, 519, 9542, 540, 7031, 267, 2371, 543, 2553, 689, 3564, 519, 9099, 1158, 269, 16024, 1014, 12448, 23846, 814, 11130, 602, 713, 18236, 5189, 513, 1297, 540, 7031, 540, 2101, 2956, 547, 2342, 676, 1259, 540, 1325, 268, 4517, 31647, 267, 2059, 609, 519, 2553, 585, 741, 14713, 269, 12830, 7031, 3238, 538, 713, 4483, 3769, 4006, 29647, 267, 7573, 267, 543, 10412, 269, 589, 1297, 540, 3606, 4829, 4054, 267, 2428, 4054, 267, 543, 5388, 941, 849, 11843, 269, 16581, 4066, 602, 941, 4922, 7550, 1282, 713, 1974, 3769, 14021, 12555, 1949, 267, 7693, 10047, 1949, 267, 543, 946, 540, 6694, 8261, 338, 269, 589, 10427, 1062, 540, 12555, 1500, 946, 540, 6862, 5362, 267, 1216, 14200, 267, 1216, 9870, 6191, 267, 21394, 543, 23854, 269, 2368, 12555, 5989, 543, 2029, 729, 4797, 689, 4936, 2053, 267, 543, 930, 5189, 676, 12356, 563, 27001, 519, 476, 1626, 628, 2540, 543, 519, 4571, 268, 866, 628, 2540, 267, 4279, 6628, 4718, 513, 7372, 2333, 538, 6694, 7607, 543, 2121, 3977, 269, 1715, 6694, 2853, 899, 26456, 267, 2964, 1436, 267, 2185, 1922, 1752, 7693, 10047, 543, 16496, 9960, 13087, 606, 13778, 2551, 2208, 267, 1863, 532, 909, 513, 1713, 6871, 540, 519, 13781, 267, 543, 7551, 5280, 5397, 519, 11633, 7169, 269, 1635, 519, 2038, 476, 866, 628, 2540, 267, 6694, 2853, 267, 3226, 6297, 5542, 540, 25836, 12490, 543, 28212, 267, 1185, 865, 4824, 602, 6556, 829, 2244, 1770, 729, 1082, 2053, 602, 2938, 538, 519, 5664, 12698, 543, 1354, 563, 14532, 540, 6683, 634, 476, 1240, 628, 543, 476, 866, 628, 5553, 849, 4718, 519, 1646, 540, 4837, 17346, 267, 610, 3039, 17346, 267, 7620, 585, 519, 4027, 543, 14713, 540, 16678, 2371, 16865, 547, 2342, 543, 3345, 3013, 689, 519, 21050, 923, 269, 31401, 593, 7233, 28628, 1436, 538, 519, 3735, 476, 866, 628, 2540, 26857, 8441, 538, 519, 1620, 540, 2030, 11976, 267, 543, 13604, 267, 519, 1646, 540, 10316, 7031, 269, 23207, 13829, 2390, 1395, 665, 11857, 7031, 1291, 547, 1340, 1149, 543, 1426, 22520, 267, 1034, 16113, 519, 9721, 8000, 6737, 5482, 710, 630, 7277, 276, 1700, 7277, 280, 1040, 19554, 521, 3342, 543, 10286, 6173, 2209, 7902, 538, 519, 476, 866, 628, 2540, 563, 21848, 540, 20570, 454, 763, 1686, 540, 6683, 538, 519, 6520, 540, 20570, 543, 7216, 2413, 5736, 729, 5702, 13615, 547, 519, 3157, 540, 3864, 3408, 543, 17091, 269, 2991, 476, 14983, 273, 519, 1158, 781, 6694, 3270, 941, 695, 4428, 1194, 538, 519, 7839, 5385, 540, 2371, 543, 2831, 1634, 607, 519, 9069, 1014, 16510, 269, 15867, 1186, 543, 2831, 602, 941, 5892, 1152, 1634, 538, 519, 6196, 2622, 941, 1631, 1098, 680, 5896, 547, 519, 1715, 543, 13030, 17930, 269, 12344, 1034, 16113, 267, 519, 16603, 2968, 513, 5172, 538, 3864, 11951, 267, 543, 22959, 543, 12277, 941, 4922, 7550, 269, 4033, 1098, 680, 5896, 7031, 1331, 12566, 20625, 267, 23342, 267, 543, 10269, 269, 769, 519, 824, 4287, 267, 1896, 10568, 12490, 3533, 3576, 547, 7262, 21571, 11934, 543, 2968, 513, 8192, 20013, 1256, 585, 5065, 3345, 267, 6239, 543, 3162, 4892, 269, 11982, 729, 513, 1883, 3693, 538, 519, 9533, 10553, 4123, 267, 10222, 9771, 4123, 267, 543, 519, 7269, 676, 3864, 7060, 883, 519, 17113, 269, 769, 519, 9750, 7233, 566, 4346, 267, 1804, 24914, 6721, 7031, 1519, 4006, 267, 10412, 267, 543, 967, 15282, 267, 941, 8185, 8200, 2390, 10553, 4074, 563, 4415, 519, 4028, 4473, 540, 2964, 1436, 538, 519, 3735, 476, 866, 628, 2540, 543, 476, 736, 628, 2540, 267, 3226, 538, 519, 1106, 540, 519, 8778, 528, 267, 543, 2663, 519, 28799, 3771, 1407, 614, 267, 8105, 4247, 1223, 581, 2944, 609, 513, 3432, 543, 593, 513, 4336, 5892, 7543, 269, 1452, 8441, 267, 8678, 547, 2257, 12454, 10124, 538, 2409, 543, 2200, 267, 723, 3366, 547, 31931, 7175, 1978, 2413, 11396, 538, 519, 2136, 2276, 267, 18335, 267, 5840, 267, 5125, 543, 513, 1906, 824, 6082, 547, 3977, 12531, 540, 1164, 2298, 3132, 829, 2244, 1770, 693, 1018, 949, 581, 519, 4052, 3970, 269, 634, 1646, 540, 7841, 543, 19814, 5121, 543, 519, 2810, 946, 540, 8708, 11288, 543, 12104, 3130, 589, 8778, 528, 726, 965, 532, 606, 620, 325, 2788, 320, 2361, 538, 2919, 6082, 723, 849, 1044, 1898, 547, 519, 2208, 540, 2964, 1242, 6683, 267, 3850, 585, 519, 22237, 1279, 3845, 11288, 540, 3132, 269, 2755, 3114, 13226, 543, 23561, 723, 11478, 2094, 519, 476, 866, 628, 2540, 267, 741, 946, 8057, 3648, 538, 519, 2038, 476, 736, 628, 2540, 269, 19402, 519, 1646, 540, 3114, 18168, 267, 2871, 8457, 729, 4922, 1031, 607, 513, 13226, 267, 1498, 7199, 269, 634, 13206, 518, 5174, 657, 577, 1505, 585, 13754, 1944, 16139, 1756, 24277, 6719, 513, 2101, 14634, 543, 4847, 7693, 11729, 547, 7753, 3105, 10148, 269, 898, 729, 1101, 31601, 676, 4436, 2447, 626, 674, 761, 345, 13206, 518, 269, 769, 476, 4489, 271, 14161, 18548, 577, 267, 1247, 2324, 585, 4436, 3114, 2754, 32577, 293, 267, 6707, 5010, 1242, 519, 1184, 543, 17956, 2417, 24977, 269, 22374, 16907, 331, 13774, 543, 824, 3744, 3459, 3384, 7031, 585, 2799, 11729, 538, 519, 476, 3707, 271, 338, 538, 6792, 269, 4256, 960, 1291, 547, 519, 5682, 7169, 267, 799, 4294, 7262, 8441, 538, 13226, 543, 23561, 946, 547, 11396, 5001, 267, 609, 8795, 1967, 269, 4033, 3156, 540, 3621, 1382, 2094, 476, 4198, 271, 538, 6683, 1331, 5444, 12879, 267, 10281, 1886, 9582, 267, 543, 519, 1646, 540, 17215, 14323, 6915, 30669, 971, 607, 6599, 12935, 563, 14532, 540, 6683, 454, 15987, 519, 14021, 8105, 2853, 10660, 1229, 543, 6905, 538, 2487, 1686, 3622, 3366, 547, 2799, 17016, 267, 789, 723, 849, 3366, 547, 519, 9552, 540, 3484, 1633, 267, 1034, 16113, 538, 519, 7452, 12826, 1858, 540, 519, 2136, 2276, 1739, 2622, 2782, 594, 269, 1306, 2518, 2551, 4679, 267, 6683, 5170, 547, 5372, 2067, 8134, 609, 1395, 665, 11857, 7031, 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 ]
[ 779, 7040, 568, 519, 1641, 540, 519, 16712, 10207, 602, 9446, 519, 12405, 630, 30267, 269, 10906, 476, 1001, 280, 1040, 968, 763, 3182, 3645, 11706, 15007, 31218, 814, 513, 1360, 1279, 1686, 543, 513, 1360, 2647, 10009, 892, 630, 25857, 27688, 476, 1960, 280, 281, 341, 4512, 1040, 769, 5375, 2342, 922, 8129, 4266, 1394, 547, 968, 1492, 27630, 2540, 27477, 282, 676, 519, 12964, 2540, 621, 1185, 1831, 16119, 3964, 267, 543, 729, 547, 1332, 2523, 2178, 543, 2442, 538, 5333, 267, 7977, 267, 4789, 543, 674, 1633, 619, 892, 630, 296, 321, 573, 12727, 276, 1040, 19744, 11706, 1032, 711, 1152, 729, 6719, 593, 6656, 540, 6063, 331, 636, 3330, 1821, 10899, 2835, 855, 849, 2966, 676, 5578, 995, 5159, 538, 3574, 267, 6149, 267, 4837, 267, 543, 18955, 883, 19821, 923, 267, 1034, 24080, 267, 2705, 267, 1031, 538, 519, 15999, 17001, 540, 20096, 3032, 1117, 23552, 630, 25857, 27688, 476, 1960, 280, 281, 275, 282, 645, 807, 22119, 739, 1442, 328, 476, 1220, 279, 281, 21076, 268, 22659, 282, 31762, 514, 2714, 328, 476, 1220, 280, 281, 6924, 268, 7597, 1916, 8489, 591, 621, 568, 13269, 267, 543, 28000, 540, 1507, 24017, 538, 922, 3877, 267, 519, 11706, 4806, 2141, 5161, 540, 8938, 21144, 10207, 269, 3828, 10679, 540, 873, 6763, 585, 1142, 3923, 540, 519, 1032, 269, 4856, 22046, 5944, 267, 789, 11200, 4247, 267, 2442, 23909, 693, 519, 24781, 267, 2143, 29278, 21056, 267, 543, 782, 824, 2934, 8984, 540, 513, 2016, 3923, 630, 25857, 27688, 476, 1960, 280, 281, 341, 4512, 268, 274, 282, 645, 807, 22119, 739, 1442, 328, 476, 1220, 279, 281, 22659, 282, 31762, 514, 2714, 328, 476, 1220, 280, 281, 6924, 268, 7597, 1040, 634, 20422, 3275, 540, 519, 1032, 29677, 835, 1776, 899, 13346, 10207, 538, 513, 8868, 540, 513, 7524, 25989, 573, 24005, 267, 968, 663, 1142, 540, 891, 4564, 835, 3942, 538, 519, 2760, 268, 2056, 1184, 540, 3246, 1426, 585, 2486, 892, 630, 25857, 27688, 476, 1960, 280, 281, 341, 4512, 1040, 9747, 519, 10120, 11706, 1032, 568, 849, 1634, 607, 519, 968, 18350, 2293, 4783, 892, 610, 519, 968, 24248, 2293, 540, 519, 3933, 2195, 892, 630, 296, 321, 573, 12727, 341, 4512, 1916, 2108, 2026, 519, 1032, 4652, 9529, 267, 1142, 4005, 814, 922, 1378, 1915, 543, 4145, 269, 634, 5162, 3275, 616, 6170, 16280, 267, 538, 905, 8463, 543, 5329, 3636, 676, 519, 3595, 269, 769, 519, 2038, 960, 5614, 5956, 593, 519, 2244, 267, 3478, 621, 4712, 547, 6556, 519, 1655, 7031, 538, 519, 3275, 6619, 269, 2311, 5614, 779, 1164, 20352, 267, 538, 4989, 543, 2904, 267, 972, 568, 513, 23249, 547, 8661, 519, 1007, 1272, 16802, 532, 856, 540, 519, 2666, 267, 519, 25525, 543, 21755, 1330, 28410, 998, 519, 1158, 779, 15532, 269, 2991, 519, 7772, 267, 519, 2182, 960, 6238, 1586, 269, 4873, 267, 5147, 267, 543, 4864, 616, 13856, 676, 519, 986, 6362, 540, 18720, 267, 519, 556, 12686, 540, 10568, 267, 543, 519, 26986, 3107, 540, 10286, 269, 769, 5181, 267, 3007, 7140, 547, 519, 18812, 7556, 543, 519, 1818, 540, 9174, 269, 769, 519, 3735, 15489, 4610, 616, 726, 15735, 543, 6079, 538, 521, 1144, 267, 585, 1985, 1032, 779, 1426, 3761, 267, 543, 2831, 616, 3170, 1084, 539, 543, 7166, 267, 547, 1118, 2386, 972, 568, 7899, 547, 2972, 950, 519, 1032, 23638, 1472, 2899, 811, 547, 519, 942, 585, 905, 8463, 676, 519, 11642, 728, 3034, 763, 2949, 4806, 540, 519, 10865, 2978, 2293, 27485, 538, 519, 5943, 540, 519, 11706, 729, 8499, 1305, 909, 267, 15007, 958, 7368, 676, 5159, 2429, 5553, 267, 543, 4061, 6444, 11992, 676, 519, 10120, 2247, 630, 25857, 27688, 476, 1960, 280, 281, 274, 268, 278, 1916, 2108, 28012, 795, 24943, 267, 1496, 17141, 669, 5896, 676, 1453, 316, 1107, 899, 519, 1739, 267, 23652, 1524, 538, 4571, 1922, 604, 18818, 2540, 4789, 1107, 849, 6039, 547, 1118, 519, 2489, 1544, 1134, 1634, 543, 2653, 547, 3314, 892, 630, 25857, 27688, 476, 1960, 280, 281, 274, 1916, 2108, 20464, 281, 1635, 555, 903, 535, 344, 516, 594, 3636, 324, 1250, 1688, 903, 454, 15037, 745, 541, 281, 1656, 609, 1250, 838, 1228, 594, 546, 1409, 324, 1250, 2244, 903, 563, 300, 2117, 515, 281, 3371, 594, 1305, 974, 1250, 555, 2106, 613, 547, 838, 787, 333, 613, 3248, 288, 3064, 548, 281, 1656, 1934, 594, 1934, 1496, 515, 541, 316, 519, 535, 578, 5894, 5348, 613, 563, 300, 2967, 329, 281, 594, 993, 607, 1769, 607, 676, 337, 1372, 538, 6367, 324, 3248, 21801, 6359, 281, 1656, 594, 12311, 324, 1250, 1351, 928, 1134, 594, 268, 3104, 1496, 523, 965, 14073, 19878, 6359, 281, 2060, 1250, 861, 1492, 1496, 338, 1097, 1492, 316, 1250, 1199, 324, 1496, 332, 1737, 578, 316, 594, 12103, 933, 1496, 332, 578, 30092, 20606, 324, 281, 1656, 1934, 594, 1352, 516, 1250, 1351, 928, 2407, 1970, 324, 563, 20826, 281, 2060, 1250, 8038, 961, 594, 2144, 928, 1250, 26870, 324, 912, 19751, 281, 1656, 1934, 594, 1094, 933, 1496, 338, 578, 316, 1250, 765, 974, 865, 28099, 563, 21776, 281, 2311, 6742, 344, 1145, 5733, 572, 594, 737, 2643, 548, 1250, 2220, 710, 3248, 20103, 281, 1656, 693, 595, 2077, 525, 5733, 572, 594, 3819, 333, 651, 2699, 1372, 530, 344, 928, 892, 630, 25857, 27688, 476, 1960, 280, 281, 274, 994, 5804, 6997, 2293, 540, 519, 3933, 2195, 547, 519, 18888, 540, 20431, 725, 454, 25278, 5495, 11965, 5508, 5990, 631, 2177, 8025, 306, 589, 3126, 540, 12964, 10207, 267, 835, 585, 1142, 3923, 267, 1142, 6029, 513, 1114, 2197, 13567, 267, 543, 2356, 10483, 676, 519, 3617, 1129, 540, 519, 1990, 31821, 269, 5853, 538, 10120, 17001, 543, 5254, 288, 2562, 3633, 23834, 19798, 543, 1419, 538, 519, 11706, 540, 519, 21398, 10498, 5508, 670, 5495, 11965, 21243, 609, 14889, 299, 9331, 2562, 9569, 563, 3528, 519, 1439, 540, 519, 22184, 538, 2243, 267, 2705, 267, 513, 1305, 540, 519, 12383, 1107, 12926, 1572, 519, 6997, 2293, 540, 519, 3933, 2195, 1107, 1185, 1831, 811, 1419, 1634, 607, 968, 320, 4783, 540, 23909, 982, 2978, 832, 892, 630, 25857, 27688, 476, 1960, 280, 281, 278, 1040, 898, 729, 1317, 3079, 540, 11645, 1004, 2356, 5645, 856, 538, 1813, 12405, 267, 5159, 3323, 547, 9414, 12119, 2238, 543, 5418, 9778, 519, 4207, 2486, 2933, 18656, 3022, 538, 609, 513, 2407, 6278, 543, 14810, 630, 296, 321, 573, 12727, 278, 264, 968, 5228, 6777, 4252, 24515, 538, 5412, 547, 1630, 908, 6105, 538, 2904, 892, 630, 296, 321, 573, 12727, 278, 1916, 29819, 540, 519, 2098, 31821, 454, 1103, 519, 10120, 11706, 519, 12964, 10207, 540, 519, 6997, 2293, 610, 20431, 725, 540, 519, 3933, 2195, 616, 2141, 20083, 6292, 609, 519, 6967, 12964, 10207, 8204, 1142, 3923, 779, 9030, 1990, 31821, 1129, 630, 25857, 27688, 476, 1960, 280, 281, 341, 4512, 268, 274, 1040, 898, 568, 1317, 1169, 3923, 568, 4857, 609, 513, 1978, 4541, 543, 519, 10143, 1379, 267, 606, 3310, 540, 799, 729, 5156, 547, 581, 1360, 1459, 538, 519, 1158, 540, 2470, 543, 1480, 29916, 630, 289, 3430, 626, 7236, 476, 1220, 276, 281, 5325, 1040, 769, 2070, 540, 602, 267, 968, 1492, 13567, 6429, 585, 1142, 3923, 568, 2356, 5532, 538, 930, 1259, 609, 519, 3923, 779, 1990, 31821, 1129, 267, 4171, 5432, 30118, 2337, 547, 22942, 519, 2990, 540, 1142, 2534, 540, 519, 1032, 779, 4786, 892, 630, 25857, 27688, 476, 1960, 280, 281, 273, 1040, 3807, 607, 621, 568, 11609, 676, 519, 4783, 540, 26911, 4837, 10207, 13269, 538, 519, 24130, 540, 15873, 637, 538, 5333, 630, 10964, 578, 1070, 1141, 513, 1880, 1990, 31821, 1129, 593, 519, 1318, 568, 607, 9216, 547, 1142, 540, 10865, 1480, 23909, 593, 519, 2451, 630, 20228, 1938, 476, 272, 268, 280, 689, 31108, 623, 944, 476, 1960, 277, 1916, 2108, 20464, 1107, 13985, 23581, 267, 519, 4826, 2961, 8175, 2676, 21938, 1107, 623, 529, 806, 267, 519, 12551, 2676, 18550, 1107, 1488, 625, 267, 519, 10548, 2676, 19688, 1107, 570, 19653, 267, 519, 18409, 2676, 9802, 1107, 26155, 7236, 267, 519, 3828, 1231, 2676, 18907, 1107, 9435, 267, 519, 595, 4599, 2676, 20809, 1107, 24955, 267, 519, 23193, 2676, 20606, 1107, 5164, 2998, 267, 519, 631, 4660, 523, 2676, 20826, 1107, 8644, 571, 267, 519, 2480, 2297, 2676, 19751, 1107, 2480, 23705, 1470, 267, 519, 2480, 23705, 542, 2676, 21776, 1107, 32371, 8636, 23581, 267, 519, 1488, 7815, 2676, 20103, 1107, 7167, 878, 1941, 267, 519, 3619, 520, 892, 630, 25857, 27688, 476, 1960, 280, 281, 273, 268, 274, 1916, 1103, 519, 15020, 6762, 3883, 540, 25980, 540, 519, 16099, 540, 7137, 787, 267, 519, 1990, 31821, 4191, 13269, 693, 519, 1283, 540, 519, 2985, 8778, 519, 4783, 540, 3275, 6719, 2630, 630, 30267, 269, 10906, 476, 1001, 280, 1916, 16524, 9147, 28673, 769, 30533, 539, 538, 519, 19744, 27748, 2762, 454, 2026, 519, 2245, 4422, 267, 519, 1990, 31821, 4191, 941, 1101, 540, 782, 547, 2099, 519, 11995, 267, 7766, 4783, 540, 519, 8429, 942, 269, 12846, 789, 849, 5795, 519, 2963, 540, 513, 2673, 543, 18900, 6935, 1063, 1480, 2238, 543, 519, 5322, 540, 31676, 4703, 538, 519, 6607, 269, 4256, 8129, 3914, 519, 3504, 12977, 267, 971, 607, 540, 5527, 267, 3624, 267, 30111, 267, 543, 3127, 269, 634, 1990, 31821, 729, 1287, 9862, 676, 519, 8567, 593, 519, 1259, 540, 519, 3909, 5348, 4038, 1143, 267, 547, 5555, 1265, 922, 3844, 1747, 538, 519, 10120, 12835, 2762, 267, 1141, 621, 729, 5532, 547, 12964, 2978, 2293, 26007, 1915, 1944, 12964, 3275, 540, 519, 1032, 269, 1306, 621, 729, 1767, 1657, 267, 519, 11706, 1032, 729, 1373, 4122, 5249, 856, 538, 519, 10007, 540, 20096, 3032, 1117, 23552, 1141, 267, 899, 538, 519, 3735, 10120, 10668, 5209, 267, 519, 1990, 31821, 4191, 5330, 547, 1480, 23909, 630, 290, 518, 514, 2714, 328, 476, 1220, 280, 281, 6924, 268, 7597, 1916, 6097, 569, 267, 1247, 519, 1129, 540, 1488, 625, 267, 519, 10548, 568, 8678, 609, 4728, 779, 2534, 540, 16013, 2719, 519, 966, 1149, 267, 8644, 571, 267, 519, 2480, 2297, 14550, 513, 18812, 16116, 538, 5181, 630, 9802, 324, 267, 853, 2158, 476, 1220, 280, 1040, 6884, 267, 519, 1990, 31821, 4191, 616, 5116, 538, 513, 1119, 332, 3966, 636, 12931, 22511, 267, 4478, 519, 4137, 540, 2441, 282, 538, 713, 2013, 789, 1397, 513, 2673, 4276, 1063, 519, 3618, 543, 519, 1261, 822, 839, 267, 1004, 543, 2696, 267, 543, 865, 789, 9414, 602, 519, 4890, 1931, 540, 519, 20520, 543, 2621, 593, 519, 3618, 10742, 519, 1931, 13684, 676, 519, 29763, 630, 290, 518, 514, 2714, 328, 476, 1220, 280, 281, 6924, 268, 7597, 1916, 10527, 1990, 31821, 568, 519, 7522, 13374, 2066, 519, 6607, 267, 538, 799, 519, 3141, 267, 519, 7599, 543, 519, 9030, 10785, 3100, 547, 1847, 2429, 519, 1032, 269, 898, 568, 5258, 883, 12964, 3160, 6810, 267, 610, 4191, 267, 1142, 3957, 1310, 513, 26424, 267, 4171, 2990, 2899, 267, 1279, 3516, 2482, 1369, 621, 269, 634, 3141, 10596, 998, 835, 540, 891, 6810, 1142, 3923, 267, 607, 621, 2306, 922, 3356, 689, 835, 1032, 779, 1439, 547, 519, 1985, 269, 5221, 519, 3141, 729, 782, 268, 28695, 538, 519, 1272, 540, 2367, 543, 2021, 267, 922, 3350, 729, 6594, 609, 519, 6574, 3007, 267, 543, 621, 729, 1152, 2067, 543, 17501, 267, 602, 519, 12964, 15523, 540, 519, 11706, 1058, 581, 6825, 609, 519, 1990, 31821, 4191, 267, 607, 23106, 540, 519, 3141, 779, 3460, 998, 519, 6607, 267, 607, 1134, 607, 609, 519, 10207, 602, 1397, 519, 5180, 540, 2978, 832, 2877, 547, 2844, 2486, 593, 519, 3618, 2630, 3034, 306, 13645, 543, 18888, 3955, 13512, 1441, 454, 763, 1990, 31821, 4191, 543, 2978, 2293, 540, 519, 10120, 11706, 1082, 513, 942, 941, 6719, 607, 10207, 27485, 538, 519, 3029, 540, 9979, 630, 4364, 718, 687, 610, 844, 520, 10915, 334, 2812, 1040, 589, 4783, 1107, 606, 4998, 22762, 3740, 4137, 1107, 729, 5156, 547, 723, 1044, 2813, 547, 2992, 519, 19870, 540, 2696, 269, 4856, 22046, 5944, 267, 922, 3337, 11368, 883, 1148, 21407, 519, 3666, 540, 519, 7122, 267, 543, 865, 14931, 519, 4783, 540, 1272, 630, 290, 518, 514, 2714, 328, 476, 1220, 280, 281, 6924, 268, 7597, 1040, 769, 713, 2796, 267, 519, 3337, 540, 513, 4009 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2791, 1058, 1174, 519, 2188, 602, 1860, 1533, 5210, 563, 26502, 7133, 2837, 1331, 1585, 2067, 543, 1480, 14001, 2188, 267, 609, 2916, 1689, 2348, 513, 1713, 1764, 563, 3080, 1271, 3815, 568, 13664, 4087, 267, 607, 2829, 6251, 547, 519, 20337, 4043, 547, 723, 15911, 5210, 1813, 547, 519, 5086, 540, 519, 3141, 781, 12345, 563, 12234, 267, 15038, 4249, 513, 1909, 267, 609, 2362, 15038, 2127, 7680, 16830, 5210, 563, 27455, 543, 1216, 3892, 666, 849, 1860, 1533, 5210, 267, 607, 16133, 547, 1804, 4703, 540, 1216, 666, 9793, 5210, 563, 14549, 2238, 267, 971, 607, 20012, 543, 17717, 267, 666, 3565, 547, 519, 4683, 3002, 6532, 1198, 267, 3056, 547, 2362, 5210, 538, 4872, 563, 20458, 1689, 5222, 2837, 3270, 267, 609, 8375, 2518, 5210, 3056, 547, 2799, 3002, 30335, 543, 4657, 4365, 3270, 563, 8139, 891, 2188, 666, 948, 721, 10146, 519, 7648, 538, 1533, 5210, 543, 741, 1761, 6286, 563, 22860, 4506, 8466, 8693, 4578, 454, 2414, 2253, 7421, 3140, 2916, 1239, 267, 621, 781, 1271, 547, 5531, 543, 4983, 2837, 5638, 689, 1585, 2959, 269, 1635, 4974, 2250, 2837, 3466, 267, 649, 666, 2744, 3407, 4030, 883, 519, 2916, 1689, 6286, 543, 519, 1764, 621, 814, 593, 2199, 8134, 563, 23208, 2916, 1239, 2636, 721, 547, 3950, 1279, 3856, 2837, 3270, 543, 2697, 1022, 1713, 2242, 936, 942, 269, 901, 2079, 2337, 3744, 543, 14519, 1174, 519, 6708, 543, 10605, 540, 2916, 1689, 267, 7175, 873, 547, 1020, 2994, 547, 11574, 922, 2360, 563, 13010, 267, 3140, 2916, 1239, 2636, 721, 547, 2708, 875, 891, 2837, 2242, 723, 12936, 2199, 8134, 269, 898, 2488, 2629, 1344, 593, 875, 2837, 15088, 723, 4299, 2249, 3892, 267, 9194, 3270, 267, 543, 2949, 5117, 1072, 563, 763, 5440, 2552, 11367, 585, 12019, 652, 3557, 454, 2691, 621, 2501, 547, 8159, 519, 4411, 652, 1533, 538, 519, 7330, 267, 972, 616, 513, 1906, 1283, 733, 11367, 602, 1796, 856, 563, 26502, 8159, 5210, 1331, 20173, 267, 15038, 267, 16133, 547, 1216, 4703, 267, 543, 17888, 4365, 3270, 563, 2704, 10939, 267, 1634, 585, 922, 10792, 24475, 267, 568, 1419, 9833, 607, 519, 4411, 652, 1533, 538, 519, 2197, 269, 634, 1533, 2833, 1279, 267, 535, 3419, 573, 24475, 1813, 547, 922, 1164, 20173, 543, 5318, 2450, 563, 8448, 733, 11367, 585, 519, 2140, 540, 4411, 652, 1533, 1331, 3345, 21241, 543, 16506, 267, 799, 1312, 1995, 5393, 4411, 5210, 1282, 519, 5162, 3275, 269, 1452, 2829, 616, 6766, 676, 11848, 2011, 13999, 543, 723, 513, 18626, 2916, 267, 6353, 676, 1970, 5210, 543, 5230, 6777, 6420, 563, 2171, 1430, 3270, 543, 3466, 1404, 513, 1713, 1909, 538, 8159, 519, 4411, 652, 1533, 538, 519, 7330, 267, 1818, 891, 733, 11367, 4502, 6236, 563, 15761, 3153, 12019, 16661, 26263, 1580, 320, 454, 1692, 1419, 798, 3665, 4411, 4365, 9259, 2049, 267, 543, 1018, 616, 519, 2360, 540, 891, 2621, 888, 15761, 3153, 4411, 4365, 9259, 267, 971, 607, 11848, 1025, 6814, 543, 8701, 642, 29448, 525, 267, 666, 2049, 1282, 519, 5162, 3275, 538, 1585, 2694, 540, 519, 1158, 267, 1519, 519, 2136, 2276, 269, 1452, 2621, 616, 6353, 676, 513, 6727, 543, 1713, 6749, 538, 5210, 267, 3056, 547, 535, 3419, 573, 2175, 602, 666, 723, 2647, 8573, 4474, 2360, 563, 6635, 8157, 1025, 6814, 3277, 547, 519, 31593, 540, 11848, 2011, 13999, 883, 2539, 4234, 6421, 267, 1247, 8701, 642, 29448, 525, 616, 1804, 8397, 7814, 2158, 602, 1106, 2282, 519, 18635, 269, 1452, 9259, 666, 2014, 5906, 569, 1970, 5210, 267, 5230, 6777, 6420, 267, 543, 2178, 12798, 267, 4611, 538, 15470, 321, 924, 267, 3834, 1278, 8926, 267, 6283, 21463, 267, 1379, 856, 1137, 267, 543, 3441, 547, 5989, 563, 8139, 891, 3665, 4365, 2621, 568, 2629, 585, 23982, 543, 4180, 519, 3106, 540, 2043, 543, 2950, 538, 4299, 2127, 563, 763, 12736, 1676, 281, 12019, 652, 3557, 538, 519, 7330, 454, 2252, 596, 2811, 3168, 585, 519, 4411, 652, 1533, 538, 519, 7330, 267, 14522, 3217, 519, 13862, 269, 2060, 922, 5318, 1163, 534, 572, 543, 11848, 2916, 267, 14522, 2833, 930, 540, 519, 1034, 3665, 4411, 5210, 538, 519, 2197, 563, 763, 5222, 540, 971, 4411, 5210, 593, 7320, 616, 1713, 269, 3509, 2249, 723, 9862, 547, 7639, 538, 891, 10792, 2175, 269, 1280, 1383, 267, 2831, 899, 8701, 12217, 723, 5394, 9663, 543, 513, 4494, 540, 3170, 547, 1202, 3634, 2933, 689, 519, 4411, 269, 1358, 849, 723, 513, 4130, 2627, 1858, 547, 4320, 5223, 267, 799, 2337, 7413, 3002, 2530, 269, 3958, 267, 930, 2831, 30489, 622, 1282, 519, 5162, 3275, 547, 18359, 1648, 543, 2057, 519, 4411, 15587, 563, 2026, 585, 2994, 585, 17005, 3665, 4411, 2175, 267, 3425, 7048, 593, 1697, 7802, 543, 12062, 547, 3251, 3636, 269, 20233, 1359, 7802, 543, 9849, 1202, 4327, 25192, 543, 17309, 616, 2629, 269, 769, 3665, 2665, 267, 2679, 6777, 24181, 610, 1210, 12699, 512, 757, 666, 1683, 3606, 4027, 1996, 519, 4411, 563, 21761, 18542, 5999, 454, 1692, 6496, 519, 12019, 652, 3557, 538, 519, 7330, 14424, 547, 519, 12019, 652, 3204, 687, 538, 4033, 18831, 888, 2691, 9236, 519, 4411, 652, 1533, 538, 519, 7330, 547, 519, 4411, 652, 4525, 538, 824, 2477, 267, 621, 568, 1271, 547, 2015, 519, 1764, 540, 3665, 4411, 593, 5989, 269, 901, 1239, 12454, 2079, 2488, 3407, 4030, 883, 519, 3604, 543, 10486, 1063, 891, 4411, 16374, 563, 6701, 1703, 7102, 16930, 11790, 2334, 5269, 513, 3557, 2859, 2398, 821, 547, 26184, 12019, 16661, 15638, 888, 26502, 602, 3565, 547, 3665, 4411, 4365, 2621, 1331, 20173, 267, 15038, 267, 543, 16133, 547, 4703, 540, 1216, 269, 1452, 2188, 666, 723, 1713, 2360, 593, 2837, 3270, 267, 1818, 1978, 2829, 811, 12155, 547, 15280, 4411, 2175, 563, 1432, 3657, 519, 19105, 31301, 2137, 538, 519, 12019, 652, 3557, 4438, 7756, 1530, 3517, 888, 1103, 519, 4411, 652, 1533, 267, 3328, 2837, 7648, 666, 581, 3665, 2429, 519, 1114, 12405, 269, 1452, 15088, 666, 723, 513, 1713, 1764, 593, 7320, 267, 7133, 741, 6668, 267, 9194, 3270, 267, 543, 2949, 5117, 6384, 563, 31549, 519, 12019, 652, 3557, 538, 519, 7330, 11408, 2142, 523, 519, 23893, 10801, 3778, 267, 610, 5620, 1703, 2142, 523, 1744, 22284, 538, 18323, 24419, 902, 3683, 5384, 888, 5970, 2837, 31213, 538, 519, 4411, 652, 1533, 17146, 936, 942, 286, 1215, 798, 891, 10593, 1764, 8134, 286, 7043, 3856, 2360, 593, 8134, 616, 6766, 676, 2242, 538, 2837, 31213, 563, 1692, 1684, 1763, 6342, 540, 519, 12019, 652, 3557, 11154, 547, 519, 26184, 12019, 16661, 17148, 538, 4256, 11545, 22032, 888, 4910, 6342, 540, 519, 4411, 652, 1533, 3082, 547, 3665, 4411, 4365, 2175, 676, 14139, 1585, 12003, 6127, 269, 1452, 1331, 9849, 3617, 7802, 267, 1210, 8022, 1949, 267, 543, 22212, 3232, 2238, 547, 7413, 4598, 563, 4517, 519, 16771, 540, 519, 2140, 585, 519, 4411, 652, 1533, 538, 519, 7330, 568, 2507, 14522, 256, 2060, 922, 535, 3419, 573, 5210, 543, 476, 5390, 8916, 267, 14522, 3217, 519, 13862, 585, 1373, 519, 10700, 13792, 20281, 563, 21132, 3665, 4411, 4365, 9259, 267, 971, 607, 519, 4583, 8701, 642, 29448, 543, 669, 3739, 4672, 20893, 267, 1118, 621, 513, 1283, 733, 2658, 585, 519, 4411, 652, 1533, 563, 3383, 267, 952, 596, 2811, 3168, 585, 5642, 7302, 3739, 5210, 543, 513, 3020, 5162, 4898, 1633, 267, 14522, 568, 519, 1747, 547, 581, 269, 25143, 548, 909, 543, 25231, 3054, 585, 513, 15470, 344, 7045, 256, 0, 8967, 2454, 8924, 585, 4587, 1053, 616, 606, 17170, 1907, 585, 4896, 3168, 547, 11453, 909, 593, 741, 10259, 543, 8239, 1983, 563, 4322, 8924, 666, 948, 1053, 540, 782, 6502, 2087, 741, 2854, 2792, 267, 855, 789, 666, 581, 2523, 3730, 585, 4587, 1053, 945, 949, 711, 723, 1185, 607, 1454, 4598, 547, 10259, 543, 8239, 538, 741, 18375, 563, 1103, 713, 5816, 2022, 267, 649, 3513, 2263, 519, 2640, 540, 1210, 513, 10259, 813, 585, 4587, 1053, 543, 875, 621, 666, 948, 873, 1831, 811, 8746, 538, 741, 1603, 563, 8967, 2454, 8924, 585, 4587, 1053, 666, 581, 606, 11212, 5363, 1907, 950, 621, 2501, 547, 12802, 563, 13981, 10259, 998, 606, 813, 666, 948, 1453, 3314, 1913, 543, 741, 29745, 1732, 982, 2757, 2409, 971, 607, 8357, 5314, 563, 4415, 513, 10259, 813, 267, 596, 666, 1305, 909, 3756, 543, 17118, 547, 2689, 1913, 543, 3950, 3356, 563, 1607, 1259, 267, 707, 1126, 666, 2259, 543, 2689, 519, 1482, 1913, 2789, 2053, 267, 1818, 621, 4443, 585, 873, 547, 3314, 519, 2953, 10259, 563, 12234, 267, 1034, 8924, 1331, 1187, 27515, 543, 23877, 602, 666, 1118, 1565, 811, 11791, 563, 1607, 2337, 1118, 2386, 602, 707, 1126, 786, 3251, 7722, 543, 5461, 538, 519, 1570, 267, 2417, 5355, 741, 12802, 540, 519, 29745, 563, 13233, 15099, 26538, 5903, 454, 8967, 2454, 8924, 585, 4587, 1053, 616, 606, 5140, 1259, 547, 12927, 1434, 10259, 6208, 563, 8253, 1152, 798, 891, 8924, 1683, 513, 1187, 543, 7317, 1259, 547, 1451, 267, 855, 789, 849, 1683, 513, 1390, 4316, 585, 8026, 543, 28798, 835, 781, 1983, 563, 4415, 519, 948, 540, 891, 8924, 267, 1053, 666, 2259, 741, 10259, 538, 513, 3099, 540, 5468, 543, 1205, 8216, 5955, 593, 741, 3356, 563, 12234, 267, 891, 8924, 1683, 1053, 609, 513, 10375, 543, 15409, 1259, 547, 1491, 741, 1565, 609, 873, 16382, 789, 979, 563, 3528, 3351, 2358, 10259, 8924, 267, 1053, 666, 11179, 4161, 2933, 547, 2087, 741, 10259, 1983, 543, 1020, 1732, 6208, 602, 786, 4196, 873, 1134, 607, 789, 3136, 741, 2069, 563, 8967, 749, 654, 23275, 2561, 454, 8967, 2454, 8924, 585, 4587, 1053, 538, 519, 5177, 666, 581, 513, 1187, 543, 2502, 1259, 547, 1451, 563, 6624, 540, 891, 8924, 2709, 7317, 2934, 971, 607, 17118, 267, 3756, 267, 543, 15460, 602, 1118, 1565, 11791, 563, 10743, 666, 849, 4309, 12587, 543, 2798, 585, 2953, 4267, 267, 4946, 606, 3693, 540, 6735, 543, 8404, 547, 741, 2090, 563, 4415, 7990, 995, 23877, 543, 909, 18566, 2575, 267, 1082, 8924, 849, 1118, 10259, 11791, 543, 5000, 1053, 547, 6529, 609, 621, 563, 13010, 267, 1082, 540, 891, 8924, 616, 2966, 547, 3082, 547, 519, 1367, 2875, 779, 1565, 1377, 267, 3246, 873, 609, 2123, 2213, 2591, 543, 5329, 873, 7722, 563, 5472, 538, 782, 267, 10259, 8924, 585, 4587, 1053, 616, 513, 1390, 1259, 547, 948, 873, 723, 1187, 1247, 789, 1451, 563, 294, 1090, 1067, 654, 23275, 2561, 454, 8967, 2454, 8924, 585, 4587, 1053, 616, 11212, 10375, 543, 15409, 563, 10303, 789, 616, 2139, 593, 1022, 5985, 3926, 267, 596, 666, 946, 873, 16382, 596, 979, 563, 1607, 1797, 602, 707, 1126, 666, 2259, 741, 10259, 1983, 538, 519, 1286, 267, 538, 519, 6288, 267, 610, 1256, 1282, 513, 1153, 2736, 563, 763, 13418, 540, 10259, 8924, 849, 2306, 621, 4443, 585, 3237, 547, 1832, 606, 3750, 593, 741, 1453, 779, 3356, 563, 2791, 666, 3533, 2638, 547, 1294, 799, 1913, 723, 1044, 27058, 543, 799, 3283, 991, 811, 2259, 563, 2467, 568, 1100, 991, 547, 561, 1872, 1472, 5230, 9499, 610, 12622, 619, 15042, 563, 8967, 2454, 8924, 585, 4587, 1053, 616, 513, 1390, 1259, 547, 3251, 22555, 543, 1451, 7561, 563, 17504, 654, 23275, 2561, 454, 8967, 2454, 8924, 585, 4587, 1053, 1683, 519, 3501, 3070, 585, 1022, 2385, 3168, 547, 948, 741, 1453, 609, 741, 10259, 1983, 563, 6624, 540, 891, 8924, 2709, 513, 2688, 529, 762, 1995, 602, 6087, 596, 547, 20688, 519, 1543, 543, 2157, 547, 707, 1126, 779, 1808, 2115, 563, 2791, 666, 3442, 799, 3584, 596, 8910, 899, 707, 1126, 547, 1445, 593, 543, 4188, 519, 7411, 1377, 2687, 547, 741, 2702, 563, 1607, 2306, 621, 2653, 547, 1711, 513, 10872, 540, 1353, 602, 17015, 873, 267, 607, 1134, 607, 3850, 596, 547, 1832, 3950, 540, 741, 3356, 543, 6218, 519, 7145, 540, 519, 813, 563, 16352, 971, 513, 2688, 2213, 1935, 5849, 602, 707, 1126, 786, 581, 2111, 547, 1205, 519, 1034, 856, 540, 741, 10259, 2259, 543, 2744, 519, 5021, 4324, 689, 1210, 606, 813, 269, 0, 18662, 8212, 14173, 1607, 568, 606, 3573, 10189, 540, 3937, 585, 1647, 1153, 543, 1164, 1153, 6323, 22475, 563, 1103, 7672, 616, 5036, 585, 11707, 267, 5201, 267, 30402, 24599, 1143, 267, 25852, 267, 32721, 267, 543, 1035, 24065, 923, 269, 18421, 3254, 538, 519, 5961, 563, 29613, 531, 585, 3610 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18994, 10387, 27679, 10031, 2018, 10917, 815, 1582, 14714, 871, 318, 272, 454, 2018, 1582, 14714, 871, 318, 272, 815, 1582, 14714, 871, 318, 272, 12785, 454, 2018, 10917, 12785, 815, 7183, 454, 2018, 2132, 10917, 27841, 692, 825, 1219, 32708, 4311, 2187, 1038, 952, 711, 1582, 18994, 10387, 27679, 912, 2018, 2132, 1582, 14714, 871, 318, 272, 27841, 692, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 1699, 815, 1582, 14714, 871, 318, 272, 454, 1038, 1543, 815, 11713, 1038, 1247, 1699, 912, 2018, 1543, 6910, 19304, 263, 9690, 27841, 4917, 2018, 1699, 815, 1699, 12785, 454, 1038, 2132, 834, 834, 269, 21860, 263, 20880, 9239, 5035, 9697, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 2187, 1038, 1582, 20508, 815, 2012, 454, 1038, 1582, 12785, 815, 7183, 454, 1038, 1582, 269, 6943, 815, 1412, 13906, 28847, 5035, 13928, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 2187, 1038, 1582, 20508, 815, 2012, 454, 1038, 1582, 12785, 815, 7183, 454, 1038, 1582, 269, 6943, 815, 1412, 27594, 28847, 5035, 10960, 306, 3559, 614, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 6983, 520, 815, 6581, 826, 4590, 1038, 1582, 6155, 690, 815, 6581, 826, 10797, 825, 1219, 679, 28255, 4311, 267, 4620, 2187, 1038, 952, 4620, 269, 6943, 2652, 1412, 13906, 12466, 2018, 1582, 6983, 520, 269, 523, 28255, 263, 7065, 20508, 994, 1038, 8640, 4620, 269, 6943, 2652, 1412, 27594, 12466, 2018, 1582, 6155, 690, 269, 523, 28255, 263, 7065, 20508, 994, 1038, 3116, 912, 2018, 2132, 1412, 322, 1846, 1299, 5243, 1175, 28847, 825, 1219, 632, 28255, 4311, 267, 4776, 2187, 1038, 952, 4776, 2652, 1412, 13906, 12466, 2018, 1582, 6983, 520, 19709, 28255, 4590, 1038, 8640, 4776, 2652, 1412, 27594, 12466, 2018, 1582, 6155, 690, 19709, 28255, 4590, 1038, 3116, 912, 2018, 2132, 1412, 322, 1846, 1299, 5243, 1175, 262, 7531, 604, 6449, 4067, 1029, 2525, 262, 1029, 10852, 23922, 825, 1101, 560, 291, 690, 815, 13928, 3488, 9917, 342, 11867, 5073, 825, 2034, 291, 690, 815, 13928, 3488, 327, 2532, 328, 5073, 825, 3791, 291, 690, 815, 13928, 3488, 326, 9007, 9515, 321, 1229, 5073, 825, 1101, 29272, 815, 9697, 3488, 8124, 9564, 5073, 825, 2034, 29272, 815, 9697, 3488, 9917, 571, 17844, 5073, 825, 3791, 29272, 815, 9697, 3488, 5069, 531, 11535, 17210, 825, 2831, 815, 10960, 306, 3559, 614, 4590, 825, 2831, 269, 523, 28255, 263, 16149, 291, 690, 994, 825, 2831, 269, 523, 28255, 6600, 1009, 29272, 994, 825, 2831, 269, 523, 28255, 263, 16149, 29272, 994, 825, 1820, 263, 534, 7769, 6983, 520, 994, 825, 1820, 263, 534, 7769, 6155, 690, 2020, 825, 2831, 19709, 28255, 3488, 13906, 5073, 825, 1820, 263, 534, 7769, 6983, 520, 994, 0, 5228, 1239, 14067, 4450, 318, 663, 318, 14607, 3596, 332, 318, 7090, 269, 29936, 18622, 701, 730, 29999, 18622, 701, 730, 29999, 1104, 2608, 692, 3698, 1449, 23631, 701, 730, 29999, 10031, 825, 7682, 7368, 29999, 3488, 307, 1778, 22084, 22084, 17224, 6955, 2033, 12525, 328, 22084, 10807, 2652, 1412, 24650, 7055, 825, 7682, 7368, 29999, 3488, 527, 729, 519, 2085, 540, 7326, 621, 729, 519, 2085, 540, 18174, 880, 1145, 10807, 2652, 1412, 527, 7055, 825, 7682, 7368, 29999, 3488, 2005, 729, 513, 20210, 267, 521, 738, 787, 4832, 2073, 519, 4832, 789, 6850, 322, 3176, 519, 25347, 6199, 338, 2073, 543, 594, 4769, 1406, 917, 1018, 594, 729, 3257, 538, 1715, 3840, 1862, 10807, 2652, 1412, 8999, 1067, 262, 0, 5035, 19219, 10031, 476, 1219, 6449, 8181, 9191, 1345, 267, 1239, 22561, 267, 10113, 17045, 22561, 2187, 8587, 1582, 21606, 815, 1239, 454, 8587, 1582, 12785, 17045, 815, 1985, 17045, 692, 476, 1219, 6449, 1598, 9191, 1345, 2187, 8587, 2132, 1582, 21606, 692, 5035, 21912, 8266, 10031, 825, 1219, 6449, 8181, 9191, 1345, 267, 2212, 22561, 2187, 1038, 1582, 23584, 815, 2212, 692, 825, 1219, 16289, 15461, 4311, 267, 7407, 2187, 1038, 1007, 17045, 815, 19219, 263, 7407, 994, 1038, 1007, 17045, 14857, 1598, 1029, 4590, 1038, 1699, 815, 1582, 23584, 454, 1038, 952, 1699, 10778, 2018, 1247, 1699, 10947, 318, 10113, 3890, 11203, 7183, 912, 3546, 1699, 815, 1699, 10947, 318, 10113, 4590, 2018, 1699, 15630, 318, 2908, 318, 10113, 28956, 17045, 994, 1038, 3116, 912, 2018, 1582, 23584, 284, 11966, 263, 7407, 994, 2018, 1699, 284, 1345, 23584, 454, 1038, 2132, 1699, 14857, 1598, 9191, 2020, 692, 5035, 25300, 8368, 10031, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 25915, 815, 476, 9083, 275, 454, 1038, 1582, 6230, 777, 815, 1496, 14085, 316, 2608, 1582, 25915, 692, 825, 1219, 19474, 4311, 267, 1883, 2187, 1038, 19474, 815, 476, 271, 454, 1038, 585, 1347, 538, 1883, 912, 2018, 19474, 6834, 3921, 263, 10420, 994, 1038, 4994, 815, 630, 327, 1662, 2608, 476, 276, 4200, 264, 4939, 1582, 25915, 454, 1038, 2132, 4994, 7531, 825, 1219, 3568, 4311, 267, 1883, 2187, 11434, 4994, 815, 1582, 19544, 1662, 31107, 994, 11434, 952, 1582, 6230, 777, 27709, 14158, 19930, 10917, 815, 1582, 6230, 777, 27709, 4940, 3650, 454, 19930, 1247, 10917, 912, 25639, 952, 1883, 2652, 10917, 21606, 314, 271, 14158, 4449, 567, 2132, 6936, 454, 25639, 10917, 815, 10917, 12785, 17045, 454, 11434, 2132, 8771, 454, 825, 1219, 1039, 4311, 267, 1883, 267, 1130, 2187, 11434, 4994, 815, 1582, 19544, 1662, 31107, 994, 11434, 1883, 19056, 815, 1496, 4486, 267, 1130, 2639, 11434, 952, 1582, 26769, 13935, 31107, 2187, 2018, 10917, 815, 1582, 6230, 777, 27709, 4940, 3650, 454, 2018, 1247, 10917, 912, 3546, 952, 1883, 2652, 10917, 21606, 314, 271, 14158, 7386, 10917, 21606, 314, 272, 316, 815, 476, 1130, 454, 3546, 10917, 815, 10917, 12785, 17045, 454, 3546, 2132, 1582, 454, 11434, 952, 1582, 6230, 777, 27709, 316, 568, 7183, 912, 19930, 1582, 6230, 777, 27709, 316, 815, 21912, 8266, 4590, 11434, 1582, 6230, 777, 27709, 4940, 6572, 15461, 31107, 19056, 994, 11434, 2132, 1582, 14857, 1598, 9191, 2020, 825, 1219, 1205, 4311, 267, 1883, 2187, 1038, 4994, 815, 1582, 19544, 1662, 31107, 994, 1038, 952, 1582, 6230, 777, 27709, 14158, 2018, 10917, 815, 1582, 6230, 777, 27709, 4940, 3650, 454, 2018, 1247, 10917, 912, 3546, 952, 1883, 2652, 10917, 21606, 314, 271, 316, 10778, 7386, 2132, 10917, 21606, 314, 272, 2639, 3546, 10917, 815, 10917, 12785, 17045, 454, 1038, 2132, 7183, 692, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 1267, 815, 834, 4840, 1038, 585, 1775, 538, 1582, 6230, 777, 912, 2018, 952, 1775, 568, 711, 7183, 912, 3546, 10917, 815, 1775, 23584, 454, 3546, 1247, 10917, 912, 7386, 1267, 6834, 257, 346, 260, 338, 348, 9847, 834, 4939, 263, 31184, 21606, 267, 994, 7386, 10917, 815, 10917, 12785, 17045, 454, 3546, 1267, 266, 8782, 14085, 7055, 1038, 2132, 1267, 454, 672, 692, 3698, 19474, 318, 3847, 19553, 7765, 22607, 1662, 318, 821, 267, 19474, 4671, 6851, 2187, 825, 19474, 4671, 762, 815, 25300, 8368, 4590, 825, 585, 1714, 332, 538, 19474, 318, 821, 6230, 777, 10778, 1038, 952, 1714, 332, 10778, 2018, 19474, 4671, 762, 14491, 263, 601, 332, 23584, 21606, 314, 271, 3910, 1496, 601, 332, 23584, 21606, 314, 272, 3910, 14085, 7481, 825, 585, 1714, 332, 538, 19474, 4671, 6851, 6230, 777, 10778, 1038, 952, 1714, 332, 10778, 2018, 952, 19474, 4671, 762, 26769, 13935, 263, 601, 332, 23584, 21606, 314, 271, 316, 2187, 3546, 19474, 4671, 762, 14491, 263, 601, 332, 23584, 21606, 314, 271, 3910, 1496, 327, 1662, 318, 821, 10947, 263, 601, 332, 23584, 21606, 314, 271, 25818, 601, 332, 23584, 21606, 314, 272, 316, 7481, 27030, 825, 2132, 19474, 4671, 762, 692, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 8931, 476, 19474, 318, 821, 815, 25300, 8368, 4590, 476, 19474, 318, 821, 14491, 3488, 325, 1180, 3299, 1412, 523, 600, 1819, 5073, 476, 19474, 318, 821, 14491, 3488, 342, 337, 987, 3299, 1412, 9734, 5073, 476, 19474, 318, 821, 14491, 3488, 323, 559, 580, 550, 3299, 1412, 655, 23903, 5073, 476, 19474, 318, 821, 14491, 3488, 7666, 728, 3299, 1412, 3258, 335, 5073, 476, 19474, 318, 821, 14491, 3488, 719, 7257, 3299, 1412, 639, 615, 5073, 476, 19474, 4671, 6851, 815, 25300, 8368, 4590, 476, 19474, 4671, 6851, 14491, 3488, 325, 1180, 3299, 1412, 320, 2091, 5073, 476, 19474, 4671, 6851, 14491, 3488, 342, 337, 987, 3299, 1412, 23437, 697, 5073, 476, 19474, 4671, 6851, 14491, 3488, 323, 559, 580, 550, 3299, 1412, 573, 548, 5073, 476, 19474, 4671, 6851, 14491, 3488, 7666, 728, 3299, 1412, 31742, 5073, 476, 19474, 4671, 6851, 14491, 3488, 6503, 3299, 1412, 329, 600, 5073, 8931, 476, 1820, 22607, 1662, 318, 3847, 19553, 7765, 22607, 1662, 318, 821, 267, 19474, 4671, 6851, 4297 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1394, 547, 476, 276, 268, 278, 8536, 1296, 3516, 282, 1498, 922, 13006, 1686, 4422, 1394, 547, 590, 28045, 573, 5736, 267, 827, 476, 10384, 589, 269, 769, 589, 15939, 18779, 573, 5736, 267, 519, 11344, 2085, 540, 4496, 11529, 267, 1114, 2409, 540, 4496, 11529, 2919, 865, 7494, 602, 6766, 936, 1985, 5553, 543, 26992, 338, 563, 5475, 5771, 267, 1627, 15401, 345, 8643, 729, 1869, 11342, 538, 30111, 269, 23433, 6177, 543, 3662, 8032, 8043, 723, 15068, 1282, 713, 1974, 269, 1627, 15401, 345, 8643, 729, 30109, 25577, 538, 17286, 329, 4157, 543, 6380, 14865, 30552, 770, 625, 269, 2290, 540, 519, 1034, 2027, 4496, 1740, 538, 17286, 329, 4157, 1974, 729, 538, 331, 11691, 8988, 543, 2699, 7601, 593, 21567, 543, 19730, 563, 25219, 839, 2812, 1500, 540, 7601, 543, 19730, 607, 1134, 607, 5374, 9885, 543, 9486, 585, 3909, 543, 10723, 4025, 941, 1455, 538, 713, 5736, 269, 634, 6272, 6140, 3769, 13617, 539, 2831, 609, 17794, 9843, 267, 519, 2371, 543, 5017, 267, 519, 5480, 1512, 6105, 543, 24515, 543, 10122, 267, 25249, 267, 12372, 543, 7574, 7405, 267, 23678, 1386, 593, 519, 4154, 543, 8988, 269, 6380, 14865, 4496, 1740, 729, 3812, 865, 11840, 2299, 602, 6591, 519, 1158, 10639, 267, 543, 621, 729, 29633, 547, 1114, 2694, 540, 519, 1158, 693, 602, 942, 269, 304, 15401, 345, 8643, 12826, 609, 519, 6177, 543, 8768, 1374, 269, 9282, 972, 616, 1114, 2409, 585, 1627, 15401, 345, 8643, 267, 782, 540, 873, 723, 519, 1482, 1184, 269, 1677, 23678, 557, 267, 519, 13492, 2006, 6227, 519, 1394, 2427, 540, 519, 960, 609, 13545, 547, 2061, 1818, 1454, 6846, 610, 14047, 675, 269, 3973, 267, 519, 5172, 1374, 568, 23652, 593, 519, 2627, 540, 519, 960, 269, 1879, 519, 6272, 616, 23678, 1386, 267, 519, 13492, 2006, 1033, 2851, 519, 13545, 676, 8022, 267, 543, 1287, 6227, 519, 9240, 7174, 543, 519, 669, 529, 601, 539, 1858, 609, 23315, 8869, 563, 763, 6272, 2356, 1331, 519, 12166, 267, 2470, 267, 1480, 267, 3662, 5546, 543, 20538, 269, 2991, 7738, 543, 1135, 5109, 519, 3109, 3515, 267, 519, 1374, 5526, 593, 519, 2627, 540, 519, 960, 269, 1627, 15401, 345, 8643, 568, 2356, 2944, 593, 10824, 267, 911, 903, 267, 642, 1162, 267, 3092, 269, 7756, 2645, 616, 1031, 585, 1627, 15401, 345, 8643, 971, 607, 1585, 669, 529, 1564, 267, 17200, 267, 606, 341, 559, 267, 1608, 23803, 267, 19755, 3684, 543, 865, 593, 269, 5565, 1292, 6163, 540, 1627, 15401, 345, 8643, 21741, 10961, 543, 1772, 325, 25301, 6163, 16638, 21741, 10961, 2511, 267, 519, 2604, 585, 3001, 519, 669, 529, 601, 543, 23678, 1324, 568, 2944, 676, 2604, 540, 519, 21015, 267, 543, 538, 1772, 325, 25301, 2511, 267, 621, 568, 2944, 676, 17200, 532, 269, 4165, 1664, 476, 736, 628, 11416, 14655, 20348, 18234, 13340, 267, 18991, 669, 1078, 538, 8323, 609, 29957, 16714, 18935, 1242, 5810, 269, 1284, 2119, 547, 4766, 782, 3688, 8308, 543, 2285, 1434, 3308, 1489, 998, 11147, 543, 1257, 269, 7490, 2638, 782, 5961, 282, 789, 616, 513, 2101, 851, 540, 519, 6609, 543, 1655, 16315, 540, 2783, 269, 27551, 2433, 476, 736, 4699, 910, 476, 278, 269, 9262, 10759, 563, 310, 5954, 2433, 476, 1321, 4699, 910, 476, 277, 269, 1015, 10759, 269, 3776, 3804, 568, 547, 14183, 519, 6075, 563, 763, 6221, 834, 12901, 1664, 17195, 7601, 642, 848, 12826, 29586, 1086, 1014, 1772, 325, 25301, 7117, 15401, 1990, 8643, 7117, 1690, 541, 6825, 257, 568, 538, 9042, 2094, 13628, 267, 5412, 476, 1015, 267, 476, 1708, 271, 269, 901, 6221, 568, 538, 519, 7121, 834, 12901, 2294, 315, 2026, 1014, 4165, 2294, 315, 29557, 5101, 2668, 763, 22673, 568, 834, 571, 516, 268, 656, 1664, 6879, 641, 257, 543, 568, 4092, 538, 993, 2006, 269, 901, 6221, 666, 581, 25855, 5001, 269, 0, 5719, 2718, 609, 2942, 4664, 568, 17173, 269, 6884, 621, 568, 4443, 547, 16401, 621, 1369, 721, 610, 711, 547, 13720, 621, 267, 2943, 2687, 547, 1382, 621, 814, 1044, 3254, 602, 835, 540, 519, 1034, 1455, 3123, 540, 5626, 2042, 568, 21109, 543, 9319, 2942, 4606, 267, 607, 519, 1268, 1281, 711, 2628, 3007, 547, 519, 1279, 3856, 3441, 3361, 676, 1065, 1833, 1996, 519, 1699, 4743, 540, 4313, 563, 17606, 568, 1271, 602, 649, 1995, 782, 1480, 4664, 538, 1931, 547, 3489, 8788, 2223, 3081, 744, 3333, 334, 269, 9232, 454, 1607, 666, 1152, 581, 2944, 676, 7680, 2942, 4664, 607, 1134, 267, 16561, 873, 267, 543, 1287, 2324, 547, 4194, 873, 563, 2108, 295, 1952, 1465, 568, 899, 513, 3529, 8375, 538, 519, 6607, 267, 18354, 568, 899, 5072, 4881, 998, 519, 27042, 540, 519, 3618, 563, 2171, 991, 1312, 540, 873, 1312, 269, 1879, 519, 3529, 14380, 267, 621, 16716, 922, 5072, 2620, 538, 519, 2666, 693, 519, 1482, 942, 267, 543, 607, 519, 3529, 9428, 267, 621, 3587, 4829, 995, 269, 898, 568, 513, 1184, 602, 13352, 10371, 901, 568, 875, 1272, 568, 7059, 269, 968, 454, 763, 2243, 568, 281, 1215, 798, 649, 1451, 547, 9784, 938, 4664, 888, 302, 3333, 334, 11099, 602, 782, 513, 1268, 2115, 568, 547, 6432, 547, 13951, 563, 2108, 8266, 523, 547, 3054, 10371, 621, 2141, 15920, 596, 23456, 267, 899, 513, 1507, 6418, 5639, 269, 898, 1281, 711, 3458, 600, 693, 596, 267, 855, 621, 568, 2141, 1318, 269, 1403, 596, 6432, 513, 2370, 267, 596, 786, 581, 2111, 547, 5873, 707, 6418, 5639, 269, 26930, 547, 581, 3054, 609, 3388, 543, 8726, 267, 1981, 532, 3388, 538, 1931, 547, 581, 3054, 267, 713, 568, 1572, 15657, 2336, 302, 3333, 334, 11099, 602, 18354, 12851, 547, 519, 1268, 5128, 543, 568, 606, 4316, 547, 5490, 883, 1010, 4606, 538, 1931, 547, 1174, 873, 269, 5502, 540, 21603, 8788, 267, 18354, 3947, 596, 513, 1114, 3178, 2560, 16563, 602, 3947, 596, 606, 4316, 547, 2263, 3054, 6693, 5472, 891, 2942, 4664, 602, 649, 1745, 616, 1732, 547, 3398, 267, 10110, 267, 543, 960, 593, 20547, 873, 982, 7947, 532, 543, 1139, 7675, 873, 610, 9319, 29270, 873, 269, 0, 2691, 3506, 5001, 941, 7142, 2673, 547, 26193, 519, 3262, 540, 5046, 268, 866, 267, 1896, 4966, 723, 19230, 827, 519, 2942, 2360, 602, 1131, 1246, 607, 1053, 616, 27226, 540, 741, 1569, 547, 2069, 267, 543, 1572, 585, 2081, 547, 14867, 519, 1279, 3856, 1764, 563, 3080, 540, 519, 8037, 4507, 689, 16157, 543, 16862, 729, 547, 22599, 11400, 585, 1053, 538, 930, 9344, 543, 4188, 519, 6268, 1505, 269, 1306, 1053, 941, 8572, 547, 979, 547, 3506, 607, 8912, 267, 519, 1079, 562, 867, 545, 6608, 21350, 5367, 6161, 602, 1114, 1514, 10080, 1522, 2014, 1565, 8635, 563, 1103, 5988, 267, 16157, 779, 2069, 14012, 717, 19441, 9253, 2421, 585, 519, 2034, 1032, 23545, 539, 782, 2854, 11400, 585, 3592, 782, 1053, 538, 21738, 1164, 543, 1164, 1153, 1813, 547, 519, 6855, 17522, 563, 10527, 3450, 2016, 547, 1053, 713, 1032, 814, 538, 930, 2665, 9867, 15186, 267, 1945, 602, 3947, 1114, 12406, 585, 4879, 2223, 9253, 2421, 1767, 538, 513, 3948, 269, 968, 288, 1455, 543, 3160, 2854, 4879, 568, 4061, 1100, 3476, 513, 5078, 1449, 540, 1018, 519, 1053, 723, 4121, 3034, 9515, 1767, 519, 2229, 1131, 2327, 513, 4023, 4879, 1131, 581, 5342, 538, 824, 2081, 585, 1053, 547, 581, 2111, 547, 4309, 741, 9344, 543, 31286, 607, 8912, 269, 1401, 4461, 1293, 585, 1152, 476, 736, 260, 540, 21785, 1053, 685, 2698, 3446, 563, 291, 523, 5658, 2063, 1032, 23545, 539, 11400, 585, 519, 476, 280, 628, 543, 476, 1015, 628, 17603, 630, 548, 12069, 1354, 28006, 547, 6281, 2069, 264, 1310, 3506, 941, 7142, 547, 9505, 585, 1079, 3275, 269, 634, 2069, 18591, 1767, 1153, 19479, 968, 25075, 1938, 4057, 3255, 585, 1312, 981, 7041, 543, 12032, 3034, 763, 3948, 849, 1767, 3506, 1131, 723, 1114, 4485, 547, 7829, 741, 5049, 1282, 519, 6855, 267, 4061, 1453, 689, 1585, 1514, 2516, 1522, 723, 968, 17754, 1030, 1243, 8335, 689, 519, 2069, 3034, 29467, 568, 513, 1981, 602, 2523, 1453, 689, 13998, 27797, 3885, 267, 19636, 10453, 267, 543, 1453, 609, 2027, 2115, 723, 711, 4607, 519, 2556, 1489, 267, 543, 602, 741, 4324, 689, 519, 2069, 568, 3976, 2539, 982, 6382, 269, 1358, 3976, 1981, 1373, 5116, 11389, 1783, 2406, 14605, 693, 519, 3803, 981, 269, 898, 568, 4061, 585, 519, 19160, 540, 519, 1053, 1373, 2322, 593, 606, 3160, 3723, 532, 1107, 547, 741, 3656, 22979, 1107, 602, 519, 4255, 581, 666, 576, 1194, 3034, 10743, 602, 1185, 741, 11400, 23545, 539, 1131, 723, 741, 9344, 12290, 676, 8464, 689, 519, 2063, 981, 789, 3576, 538, 602, 4081, 1032, 267, 9256, 609, 824, 2409, 563, 14818, 8464, 22652, 8635, 888, 4407, 621, 779, 862, 754, 762, 602, 2477, 609, 1164, 7862, 971, 607, 16157, 543, 16862, 941, 2111, 547, 5431, 519, 2009, 29373, 1851, 741, 2551, 267, 972, 941, 1869, 9840, 2436, 11400, 23545, 566, 267, 6028, 1053, 685, 2773, 12290, 9003, 676, 3610, 267, 729, 519, 1655, 1847, 563, 1103, 4989, 267, 3079, 540, 23545, 532, 899, 2063, 1032, 267, 16862, 968, 516, 706, 1027, 892, 519, 2179, 540, 1153, 11400, 269, 634, 2069, 14012, 1767, 519, 3609, 6521, 729, 1500, 1310, 519, 2229, 4718, 602, 513, 968, 25270, 892, 729, 2838, 585, 519, 1053, 547, 581, 2111, 547, 10927, 5265, 269, 898, 849, 3773, 602, 1053, 968, 928, 539, 981, 2866, 3034, 7212, 16157, 4956, 547, 1246, 998, 922, 2063, 1032, 3609, 540, 981, 23545, 566, 267, 513, 2199, 3377, 1867, 8612, 602, 519, 15194, 5428, 729, 11688, 26938, 547, 798, 865, 269, 898, 1767, 1053, 2877, 606, 4830, 4081, 4879, 602, 4769, 1406, 1152, 7048, 593, 3610, 563, 26170, 267, 621, 666, 1406, 581, 17792, 602, 513, 8739, 20300, 4282, 814, 1279, 1044, 2808, 513, 2101, 28658, 547, 4081, 9740, 563, 763, 476, 1001, 279, 9167, 779, 2079, 593, 922, 19510, 585, 4139, 9906, 10495, 630, 303, 26721, 264, 2164, 1336, 1053, 685, 2773, 538, 1034, 540, 922, 4759, 2829, 3648, 12936, 676, 741, 10080, 269, 32167, 2812, 689, 3462, 3042, 3885, 941, 2693, 547, 723, 2362, 4081, 9740, 982, 1346, 689, 27797, 3885, 267, 2523, 1053, 609, 27540, 10080, 563, 10743, 609, 2539, 4081, 9740, 10423, 569, 1131, 1294, 7864, 3255, 547, 2362, 2069, 267, 610, 538, 519, 10782, 2013, 789, 1223, 2887, 856, 540, 519, 1062, 7357, 269, 634, 1353, 7074, 602, 519, 9167, 568, 2693, 547, 3068, 968, 320, 10770, 1981, 540, 29076, 6771, 540, 6710, 2223, 952, 1053, 4797, 547, 581, 20244, 3775, 5523, 540, 1569, 547, 2069, 1813, 547, 741, 10080, 563, 4517, 17216, 267, 519, 2907, 11342, 8635, 1131, 581, 24395, 730, 676, 519, 6855, 563, 288, 476, 1708, 271, 1353, 676, 10713, 527, 2946, 5918, 2372, 2946, 13069, 20221, 8053, 28584, 531, 1767, 1153, 19479, 1223, 2333, 8225, 1053, 685, 1449, 6060, 7934, 676, 476, 1789, 10065, 634, 1957, 779, 9819, 729, 1759, 593, 623, 26721, 1239, 267, 543, 17191, 519, 476, 274, 269, 273, 3275, 540, 1153, 17522, 1223, 2014, 1053, 689, 1970, 13867, 3885, 547, 6336, 741, 2542, 8464, 6697, 547, 1079, 3275, 540, 1353, 267, 1247, 1866, 689, 2362, 4747, 10820, 1223, 2744, 8464, 4502, 476, 274, 269, 273, 3275, 540, 1565, 563, 763, 3173, 6700, 602, 267, 1247, 2810, 8635, 1813, 547, 519, 6855, 1058, 581, 9619, 2712, 326, 1836, 267, 519, 7934, 538, 1449, 8464, 1851, 1053, 689, 1114, 10080, 5031, 968, 320, 29886, 3390, 602, 649, 786, 1869, 991, 547, 2232, 2022, 1790, 663, 2438, 2223, 538, 1931, 547, 968, 2466, 580, 622, 519, 1761, 4473, 538, 9740, 10616, 676, 590, 2464, 1282, 519, 6855, 267, 855, 849, 3564, 519, 6855, 1848, 0, 5353, 3005, 1656, 4325, 857, 566, 623, 690, 559, 12226, 21584, 454, 268, 543, 7824, 454, 268, 13723, 267, 2904, 476, 1321, 267, 476, 1708, 272, 476, 272, 281, 2767, 281, 5379, 6751, 454, 268, 476, 272, 6085, 454, 17572, 8745, 281, 5542, 543, 884, 857, 566, 533, 690, 559, 4267, 1547, 32502, 454, 303, 690, 559, 10334, 269, 16679, 9142, 568, 513, 524, 476, 274, 18758, 3919, 563, 268, 623, 690, 559, 10334, 454, 268, 19139, 1656, 4325, 857, 566, 8018, 12226, 454, 268, 4985, 1677, 5851, 23980, 623, 690, 559, 7844, 476, 273, 12226, 454, 268, 19139, 1656, 4325, 857, 566, 623, 690, 559, 11242, 1280, 7442, 10334, 10749, 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 ]
[ 1373, 9738, 269, 11910, 8298, 13286, 263, 11293, 337, 269, 10831, 267, 8210, 337, 269, 20373, 267, 834, 5278, 11243, 3890, 8442, 1763, 2541, 1401, 527, 318, 5278, 11243, 7736, 8564, 634, 8865, 22527, 538, 713, 1383, 7125, 513, 2688, 1599, 547, 2328, 519, 5470, 3877, 547, 513, 3349, 269, 7102, 5503, 596, 946, 1763, 2541, 8921, 267, 596, 991, 547, 19268, 5470, 7829, 676, 1210, 519, 1739, 3948, 281, 2201, 18438, 3619, 2414, 476, 271, 3619, 2414, 476, 271, 771, 1963, 13087, 5470, 7829, 538, 519, 1699, 5650, 543, 454, 2690, 1383, 267, 952, 707, 5470, 3009, 568, 476, 10755, 273, 267, 3651, 621, 607, 5205, 281, 966, 289, 25767, 8210, 337, 269, 10831, 815, 642, 321, 30606, 13286, 1341, 476, 10755, 273, 6970, 1081, 3590, 6959, 1282, 7125, 547, 8837, 6422, 2000, 1074, 8021, 630, 13036, 299, 338, 264, 798, 711, 5291, 2517, 4178, 269, 27700, 10517, 3016, 2593, 270, 24108, 11721, 633, 22190, 338, 11721, 633, 2389, 2354, 16519, 11804, 1782, 268, 518, 5558, 2987, 8686, 9346, 270, 16522, 1314, 8210, 5558, 589, 16105, 5470, 4386, 952, 707, 3009, 13290, 547, 1685, 606, 5106, 602, 519, 966, 10621, 1893, 1281, 711, 1450, 269, 18438, 3004, 6137, 966, 9346, 9185, 17435, 15516, 326, 1306, 21642, 15516, 326, 815, 834, 2467, 729, 606, 5470, 12394, 547, 7941, 676, 4642, 10590, 15516, 326, 26213, 263, 16039, 326, 267, 2073, 834, 19667, 728, 676, 4642, 5470, 8442, 8210, 337, 5861, 3598, 3890, 1412, 13068, 8210, 337, 1843, 4610, 269, 9185, 476, 1001, 271, 966, 9346, 18438, 30047, 1403, 707, 3009, 1281, 711, 16956, 4733, 519, 5470, 267, 1287, 519, 5650, 5170, 547, 2196, 1510, 31925, 519, 6498, 8386, 25179, 5470, 563, 2791, 666, 3950, 4632, 2066, 13838, 543, 5773, 543, 1832, 873, 538, 707, 13772, 32001, 547, 1294, 741, 1871, 1100, 2339, 1141, 519, 1699, 1899, 568, 269, 6330, 547, 713, 3896, 1411, 666, 2307, 519, 29085, 547, 1577, 596, 4308, 609, 519, 5470, 835, 1259, 610, 1776, 269, 2334, 568, 267, 649, 2015, 621, 15502, 952, 519, 1843, 1223, 711, 581, 1336, 269, 898, 2115, 547, 581, 1572, 693, 519, 1439, 540, 1142, 5650, 267, 2147, 547, 519, 1739, 3009, 269, 2201, 18438, 1401, 527, 4427, 966, 9346, 454, 2252, 596, 1039, 606, 18438, 2680, 5650, 547, 606, 31740, 1106, 267, 543, 1287, 2119, 547, 4283, 513, 1257, 1871, 538, 519, 670, 790, 14630, 2361, 267, 519, 18438, 2680, 5650, 8255, 269, 3371, 568, 606, 1383, 281, 17721, 4427, 4699, 323, 24280, 318, 12812, 3890, 2201, 18438, 3619, 2414, 654, 3994, 19368, 17435, 28914, 569, 21946, 776, 1306, 17677, 267, 28315, 11742, 1306, 17677, 17435, 28315, 21946, 776, 1306, 17677, 1412, 2290, 540, 891, 1079, 3515, 1223, 3132, 606, 1677, 2697, 519, 3498, 602, 3361, 606, 5470, 267, 596, 666, 22679, 790, 827, 519, 1871, 540, 713, 3959, 269, 5291, 2517, 330, 29764, 333, 14492, 270, 19587, 13652, 6137, 270, 19587, 13652, 6137, 14092, 947, 268, 1001, 271, 21703, 1684, 519, 1397, 14725, 2996, 2015, 8111, 326, 20071, 547, 581, 851, 540, 519, 1488, 992, 2091, 888, 10303, 6959, 666, 2049, 538, 1114, 2694, 540, 707, 3498, 267, 596, 991, 547, 3313, 799, 3693, 547, 946, 538, 707, 3009, 1759, 593, 1018, 6959, 596, 2503, 269, 18438, 3004, 6137, 590, 27942, 1677, 4217, 596, 609, 7114, 873, 267, 519, 8210, 337, 1843, 568, 9280, 609, 513, 3959, 3957, 7089, 269, 11628, 5470, 7829, 666, 1331, 782, 12204, 540, 2934, 971, 607, 9494, 1344, 827, 519, 2014, 540, 519, 5470, 543, 519, 1604, 693, 519, 942, 267, 8942, 547, 2232, 519, 1966, 267, 543, 454, 2690, 1383, 267, 596, 666, 1039, 606, 14827, 6296, 547, 519, 1383, 538, 519, 3105, 3296, 269, 1677, 1376, 602, 3296, 267, 596, 1711, 513, 6003, 269, 2201, 18438, 3619, 2414, 18438, 318, 9802, 290, 1021, 2304, 13286, 1547, 1412, 3417, 3009, 1934, 602, 949, 5352, 5470, 269, 1547, 1547, 966, 9346, 8347, 595, 2255, 8943, 971, 607, 17547, 282, 13891, 1872, 269, 19530, 282, 13891, 1872, 6993, 1087, 1068, 282, 1058, 581, 17515, 610, 2322, 883, 6810, 602, 4465, 5889, 23717, 339, 581, 1045, 12097, 269, 11754, 7412, 10606, 2690, 707, 5470, 1688, 2401, 547, 22942, 519, 3169, 1899, 1141, 606, 5470, 4386, 2676, 2690, 1383, 267, 952, 596, 616, 8429, 4632, 602, 1205, 8655, 2418, 267, 602, 666, 5889, 23717, 339, 581, 2944, 689, 519, 8056, 18957, 32001, 269, 23453, 713, 4971, 883, 6810, 540, 707, 3009, 1141, 596, 5889, 23717, 323, 899, 547, 917, 519, 1871, 540, 1978, 4632, 267, 855, 1131, 2864, 711, 3247, 519, 1982, 547, 1205, 621, 269, 898, 3085, 1405, 14574, 1899, 476, 271, 607, 519, 1376, 540, 519, 5470, 11804, 1782, 3009, 267, 1256, 952, 519, 5650, 3568, 513, 1899, 22921, 476, 271, 269, 4945, 3135, 1280, 811, 1344, 267, 1294, 8347, 1862, 290, 2255, 1862, 7661, 15048, 630, 24058, 9978, 1040, 2304, 834, 523, 12574, 257, 5470, 1688, 2401, 568, 835, 602, 568, 5828, 593, 676, 606, 2201, 18438, 3948, 563, 3080, 1259, 596, 666, 798, 713, 568, 547, 1039, 513, 1899, 6825, 1401, 527, 4427, 1354, 519, 6003, 269, 1323, 2201, 18438, 1763, 2541, 8921, 3948, 3587, 29680, 950, 1776, 5650, 568, 1572, 267, 865, 596, 1058, 14892, 606, 2201, 18438, 1763, 2541, 8921, 3948, 538, 1142, 1572, 6296, 952, 596, 1616, 538, 1467, 8865, 476, 15886, 1763, 2541, 1401, 527, 318, 5278, 11243, 1412, 2422, 713, 547, 2285, 909, 593, 519, 22876, 269, 7183, 540, 519, 3009, 1063, 519, 5470, 543, 519, 6003, 568, 13401, 267, 1519, 1022, 8520, 1852, 6898, 563, 8245, 2952, 1847, 707, 23684, 936, 4632, 547, 1294, 741, 1699, 2418, 269, 1677, 2057, 2348, 713, 4755, 267, 2322, 5470, 11804, 1782, 3009, 538, 630, 520, 2547, 264, 782, 707, 1283, 7400, 966, 10621, 5773, 269, 634, 14724, 1259, 547, 946, 621, 2874, 540, 8429, 621, 513, 5569, 269, 1677, 798, 713, 267, 538, 519, 8056, 18957, 6885, 267, 1826, 519, 2243, 1665, 834, 8119, 4553, 676, 519, 4082, 543, 2046, 9373, 563, 11293, 337, 14630, 11261, 270, 11742, 3590, 11261, 543, 5384, 540, 5470, 269, 13517, 13651, 26115, 634, 3710, 2987, 6609, 540, 519, 5470, 269, 2353, 519, 18438, 3615, 2404, 609, 513, 1880, 5084, 302, 610, 21096, 302, 5106, 616, 6740, 538, 519, 8210, 5558, 4015, 267, 519, 9803, 7400, 5470, 1373, 519, 1101, 1843, 538, 519, 4015, 543, 519, 5207, 7400, 898, 3274, 4051, 338, 966, 10621, 547, 3136, 607, 952, 1100, 5470, 1624, 3293, 563, 16352, 519, 1697, 5470, 7829, 538, 1747, 568, 2565, 547, 3246, 2656, 1489, 950, 3755, 7237, 26301, 269, 5675, 547, 513, 1257, 3758, 568, 2656, 267, 2241, 267, 543, 3096, 8766, 2200, 865, 621, 5889, 23717, 338, 3592, 2141, 3811, 6993, 583, 558, 622, 519, 13335, 24822, 6713, 2237, 8943, 547, 16259, 519, 13335, 7197, 3156, 2154, 930, 12882, 11366, 23410, 30236, 5346, 5889, 11366, 385, 354, 1354, 1717, 267, 513, 1763, 2541, 3948, 568, 711, 2556, 282, 596, 666, 849, 1439, 519, 5650, 1310, 519, 5470, 11804, 1782, 6296, 269, 19750, 4804, 281, 4504, 18166, 18438, 30047, 7046, 519, 31869, 1326, 1144, 16959, 27686, 7896, 272, 22369, 543, 4945, 519, 31740, 9184, 8437, 519, 9796, 2651, 9184, 8437, 519, 5384, 9515, 564, 9184, 1677, 4688, 519, 23519, 543, 5965, 454, 2252, 596, 723, 22621, 585, 513, 6498, 8386, 25179, 5470, 538, 1776, 5650, 538, 519, 7125, 1592, 267, 1287, 519, 5470, 786, 581, 22621, 269, 1411, 666, 3196, 10439, 9978, 547, 3406, 18807, 998, 519, 7125, 1592, 676, 9870, 606, 5470, 1369, 606, 3742, 5470, 1688, 2401, 609, 519, 14780, 1047, 1505, 540, 519, 8210, 337, 1843, 269, 1411, 798, 713, 676, 4152, 519, 1871, 540, 8210, 337, 269, 10831, 543, 952, 621, 568, 711, 4642, 14892, 3617, 3009, 269, 10819, 616, 5258, 538, 1079, 3376, 6688, 563, 1607, 1131, 581, 2944, 607, 5205, 281, 17721, 4427, 4699, 323, 24280, 318, 12812, 3890, 17435, 28914, 569, 21946, 776, 1306, 17677, 267, 28315, 11742, 1306, 17677, 17435, 28315, 21946, 776, 1306, 17677, 1412, 2290, 540, 891, 1079, 3515, 1223, 3132, 606, 5470, 267, 971, 1879, 596, 2811, 4712, 547, 5512, 5470, 7829, 267, 3274, 19268, 519, 3586, 547, 6936, 269, 0, 8110, 573, 582, 568, 513, 10859, 1790, 3285, 748, 17576, 7723, 4749, 11368, 883, 930, 540, 519, 1034, 2413, 267, 4190, 29586, 14446, 538, 519, 1158, 269, 898, 568, 1034, 1419, 1336, 538, 18707, 540, 6037, 1075, 550, 16719, 610, 586, 749, 3298, 267, 543, 568, 4922, 6444, 607, 519, 4864, 17510, 7723, 607, 1134, 607, 519, 17576, 7723, 585, 519, 476, 274, 6113, 543, 476, 1626, 628, 3045, 1392, 2456, 269, 1809, 3564, 922, 2413, 6377, 3096, 543, 12205, 267, 829, 573, 582, 6585, 513, 1232, 611, 550, 29631, 267, 5289, 543, 552, 1399, 332, 1670, 1686, 602, 8591, 19911, 531, 11551, 1871, 547, 922, 2907, 2178, 12716, 4502, 269, 3367, 593, 585, 811, 1344, 602, 786, 948, 596, 2887, 538, 2648, 609, 707, 829, 573, 582, 14446, 1107, 610, 8300, 596, 547, 4444, 930, 2221, 2336, 8110, 573, 582, 568, 835, 540, 519, 9510, 267, 1034, 2442, 17576, 18429, 267, 1336, 1305, 883, 3504, 12266, 14446, 607, 2038, 607, 2038, 607, 2235, 320, 2034, 26992, 645, 5861, 269, 901, 1880, 3131, 573, 582, 729, 1336, 676, 519, 3504, 21072, 267, 1055, 519, 6532, 540, 1018, 729, 1572, 5440, 1794, 3930, 610, 14858, 321, 597, 1326, 630, 3104, 3957, 853, 269, 8592, 1070, 4092, 538, 519, 4414, 7256, 267, 827, 476, 2004, 5195, 1055, 519, 12266, 5032, 269, 6181, 1742, 2161, 602, 713, 6532, 729, 4988, 538, 15315, 267, 1818, 621, 7543, 547, 9553, 267, 2394, 513, 943, 21198, 22755, 873, 883, 519, 4262, 269, 634, 2012, 3131, 573, 582, 568, 1767, 547, 581, 6508, 689, 519, 12428, 2262, 267, 2484, 573, 520, 267, 2495, 17576, 563, 1103, 3504, 2053, 267, 3131, 573, 1824, 941, 1031, 607, 9304, 543, 17960, 585, 519, 943, 21198, 338, 269, 21072, 22579, 713, 6149, 607, 519, 968, 613, 332, 540, 519, 3141, 1848, 634, 3504, 14564, 524, 913, 1540, 922, 5614, 344, 5835, 880, 25984, 18565, 267, 10912, 621, 519, 968, 10214, 532, 9622, 12245, 1848, 3131, 573, 582, 729, 1031, 538, 1082, 10120, 13039, 607, 4190, 23732, 267, 1336, 538, 519, 595, 860, 928, 24130, 267, 607, 1134, 607, 2429, 2342, 563, 8110, 573, 582, 17576, 18429, 1413, 1655, 607, 2694, 540, 6101, 10543, 14446, 950, 19610, 609, 19987, 267, 3109, 593, 344, 343, 610, 4158, 4544, 1094, 653, 10921, 269, 2859, 13680, 10659, 1331, 29779, 24716, 540, 13085, 3039, 829, 573, 582, 609, 2312, 21247, 267, 3632, 9068, 610, 6299, 344, 269, 1677, 1294, 513, 5542, 540, 29586, 1148, 16388, 14446, 10023, 829, 573, 582, 267, 4945, 1934, 269, 3131, 573, 582, 568, 3335, 2808, 513, 10427, 17576, 7723, 602, 1568, 1134, 609, 1022, 28459, 269, 769, 1274, 337, 902, 267, 621, 1568, 2523, 1134, 547, 3986, 519, 561, 13831, 540, 3039, 610, 6328, 601, 4064, 563, 8110, 573, 1824, 941, 5156, 547, 16657, 538, 519, 4158, 899, 26816, 3179, 267, 865, 789, 941, 1152, 24776, 1282, 30148, 269, 1358, 616, 1767, 547, 2061, 4250, 543, 18354, 267, 2736, 519, 1379, 540, 9409, 28542, 267, 2744, 22509, 697, 883, 519, 2104, 267, 543, 2285, 10143, 6667, 543, 5763, 547, 519, 649, 13145, 267, 607, 1134, 607, 3142, 19367, 689, 519, 513, 3120, 883, 519, 2168, 1560, 563, 1103, 519, 4571, 476, 1960, 271, 779, 267, 513, 6602, 540, 1804, 267, 7920, 3131, 573, 1824, 729, 1500, 538, 519, 9031, 328, 15142, 269, 1358, 941, 2663, 1572, 968, 290, 1662, 332, 699, 10866, 2223, 24188, 540, 6666, 332, 699, 590, 1952, 327, 2231, 269, 3131, 573, 582, 568, 849, 24776, 538, 519, 2136, 2276, 267, 5245, 267, 16444, 20092, 267, 543, 8478, 267, 1175, 547, 2012, 513, 1906, 563, 300, 2129, 338, 685, 10434, 1145, 6060, 568, 1759, 593, 513, 476, 1015, 1448, 4336, 1141, 476, 1015, 568, 519, 1034, 11259, 267, 899, 513, 14776, 267, 543, 476, 272, 568, 3362, 29565, 3481, 267, 971, 607, 13669, 322, 269, 3131, 573, 582, 4991, 513, 6060, 540, 476, 277, 269, 276, 268, 278, 267, 2495, 602, 621, 568, 10169, 15072, 11259, 543, 4061, 5078, 607, 513, 5057, 540, 14446, 269, 3131, 573, 582, 17576, 18429, 1058, 581, 5781, 19345, 676, 513, 3318, 610, 609, 513, 2571, 986, 326, 543, 7646, 12853, 543, 1216, 269, 4033, 2409, 267, 1519, 16600, 1606, 4577, 2973, 619 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 271, 2187, 825, 1820, 12169, 792, 267, 1412, 15159, 25426, 364, 23946, 368, 5073, 12828, 912, 825, 1820, 12169, 792, 267, 1412, 21251, 15159, 25426, 364, 23946, 368, 262, 9239, 258, 476, 276, 269, 10524, 488, 14035, 358, 31968, 13644, 378, 18777, 366, 29072, 5611, 876, 26175, 496, 7511, 13644, 378, 8147, 419, 376, 500, 31801, 489, 18777, 350, 28997, 501, 10524, 488, 14035, 358, 31968, 13644, 378, 28793, 25426, 368, 15159, 14035, 504, 16533, 495, 16533, 493, 28793, 8147, 14035, 504, 16533, 495, 26166, 421, 496, 509, 8147, 14035, 504, 16533, 495, 26175, 496, 5405, 505, 23284, 8072, 18958, 28793, 18958, 26166, 18958, 26175, 496, 685, 7511, 25913, 19764, 493, 23989, 419, 353, 374, 25707, 258, 476, 28032, 489, 417, 28187, 281, 17276, 501, 370, 25426, 368, 6858, 26175, 496, 2443, 285, 476, 271, 28793, 272, 26166, 278, 26175, 496, 454, 5503, 815, 476, 11740, 272, 454, 327, 815, 942, 12262, 630, 2568, 265, 2568, 994, 332, 815, 942, 4939, 630, 2568, 265, 2568, 264, 12262, 476, 2568, 454, 338, 815, 942, 4939, 476, 2568, 454, 2745, 22607, 267, 834, 28793, 2580, 544, 267, 1412, 26166, 3299, 521, 267, 1412, 26175, 496, 262, 9239, 258, 476, 277, 269, 13127, 362, 504, 18263, 487, 4970, 353, 14748, 9463, 502, 19404, 493, 32517, 507, 11858, 502, 22047, 32512, 7511, 420, 374, 360, 421, 360, 502, 25520, 12916, 497, 19404, 491, 8147, 419, 376, 500, 31801, 489, 14395, 508, 27064, 364, 10254, 353, 13161, 511, 30244, 14748, 32512, 7511, 420, 374, 360, 23521, 494, 15159, 12571, 355, 27882, 352, 27747, 372, 2336, 258, 476, 10429, 361, 19764, 493, 281, 476, 12916, 497, 19404, 491, 263, 11899, 8358, 420, 374, 360, 421, 360, 502, 9852, 264, 7511, 23946, 367, 25913, 29219, 21928, 1240, 269, 276, 9625, 476, 2190, 269, 280, 18263, 489, 25426, 368, 31271, 508, 30678, 27882, 352, 27747, 372, 25707, 19417, 815, 476, 272, 269, 4649, 454, 7076, 815, 476, 2004, 454, 7407, 815, 2597, 1315, 4463, 1262, 273, 454, 2745, 263, 7407, 994, 604, 476, 1240, 269, 276, 10922, 1871, 10922, 476, 2190, 269, 280, 912, 825, 1820, 3488, 27882, 352, 27747, 372, 5073, 12828, 912, 825, 1820, 3488, 21251, 27882, 352, 27747, 372, 17210, 0, 18851, 1029, 10461, 281, 12571, 368, 12916, 358, 421, 504, 484, 12163, 5228, 623, 6579, 1104, 12005, 692, 258, 476, 272, 269, 421, 499, 506, 417, 481, 493, 454, 258, 13127, 505, 378, 29830, 485, 28098, 420, 365, 350, 6745, 4920, 2821, 263, 421, 499, 506, 417, 481, 493, 12571, 491, 264, 910, 476, 11590, 356, 13200, 509, 418, 490, 485, 27936, 18713, 378, 29830, 485, 7511, 421, 499, 506, 417, 481, 493, 454, 13548, 272, 815, 12005, 269, 13449, 3488, 325, 3796, 270, 577, 4979, 27970, 17210, 258, 13127, 371, 355, 9463, 367, 421, 499, 506, 417, 481, 493, 454, 258, 1007, 272, 815, 3239, 272, 6745, 4920, 2821, 263, 15862, 12171, 299, 7709, 318, 4041, 10499, 318, 305, 20846, 994, 258, 1007, 272, 20481, 10797, 258, 476, 31968, 31284, 421, 499, 506, 417, 481, 493, 454, 258, 1007, 273, 815, 3239, 272, 6745, 4920, 2821, 263, 15862, 12171, 299, 7709, 318, 307, 8008, 29758, 5588, 307, 6865, 994, 258, 1007, 273, 20481, 10797, 258, 476, 273, 269, 419, 376, 358, 418, 498, 378, 454, 258, 13127, 505, 378, 29830, 485, 28098, 420, 365, 350, 269, 628, 3518, 333, 841, 9230, 14395, 377, 18021, 355, 267, 421, 360, 502, 18021, 355, 4297, 910, 13127, 364, 484, 18713, 378, 29830, 485, 419, 376, 358, 418, 498, 378, 28996, 418, 490, 485, 27936, 27962, 16533, 493, 263, 419, 511, 487, 30006, 498, 419, 376, 358, 418, 498, 378, 2020, 13548, 273, 815, 12005, 269, 13449, 3488, 325, 3796, 14121, 773, 26666, 17210, 258, 1820, 263, 13548, 273, 25915, 2020, 13548, 273, 269, 628, 3518, 333, 841, 9230, 2004, 267, 2004, 4917, 13548, 273, 20481, 4590, 258, 1820, 263, 13548, 273, 25915, 2020, 258, 476, 14756, 481, 18263, 510, 16088, 16533, 484, 13601, 19764, 510, 18713, 378, 29830, 485, 8147, 31308, 509, 18713, 378, 12486, 26266, 355, 9463, 367, 8147, 31968, 31284, 8147, 26266, 355, 9463, 367, 31968, 31284, 418, 489, 376, 29873, 13601, 19764, 510, 19638, 7531, 0, 18851, 1029, 10461, 281, 12571, 368, 12916, 358, 421, 504, 484, 1029, 12163, 5814, 27368, 454, 5228, 4351, 1104, 2608, 692, 6853, 18524, 269, 8181, 4590, 30720, 815, 27368, 269, 5891, 15630, 8548, 1712, 9230, 6110, 267, 7785, 4917, 30720, 8807, 650, 9230, 14838, 267, 14838, 267, 14838, 4917, 6853, 18524, 269, 5891, 15630, 6831, 320, 1632, 3488, 20693, 357, 13200, 375, 17210, 258, 476, 10254, 505, 417, 375, 374, 22047, 30837, 503, 26233, 479, 16533, 493, 419, 494, 481, 454, 343, 11971, 815, 476, 1911, 267, 1839, 454, 343, 5334, 32497, 815, 476, 271, 672, 1948, 1535, 20881, 509, 18021, 355, 454, 344, 5334, 32497, 815, 476, 271, 672, 1948, 586, 20881, 509, 18021, 355, 454, 6853, 18524, 6155, 3863, 6983, 22511, 263, 30720, 267, 263, 14838, 267, 14838, 267, 271, 32140, 343, 11971, 1070, 1839, 9239, 6853, 18524, 269, 5891, 269, 4148, 760, 4590, 11133, 815, 476, 271, 454, 6112, 6936, 912, 825, 1003, 6834, 476, 272, 454, 825, 952, 1003, 4939, 476, 1911, 876, 2652, 476, 271, 912, 1038, 1948, 17276, 370, 480, 419, 503, 377, 454, 1038, 27368, 6155, 3863, 6983, 22511, 263, 30720, 267, 630, 14838, 267, 476, 14838, 267, 476, 14838, 1070, 630, 343, 267, 586, 1070, 476, 1839, 994, 1038, 1948, 17276, 498, 373, 9463, 502, 417, 507, 494, 21550, 485, 454, 1038, 1535, 6834, 1535, 5334, 32497, 454, 1038, 586, 6834, 586, 5334, 32497, 454, 1038, 1948, 476, 19404, 491, 13161, 364, 13200, 375, 13161, 364, 419, 494, 481, 454, 1038, 27368, 6155, 3863, 6983, 22511, 263, 30720, 267, 630, 14838, 267, 476, 14838, 267, 476, 271, 1070, 630, 343, 267, 586, 1070, 476, 1839, 994, 1038, 27368, 269, 5891, 269, 26303, 30800, 825, 585, 2680, 538, 27368, 4318, 1203, 10947, 10031, 1038, 952, 2680, 269, 6943, 2652, 27368, 269, 12702, 3951, 912, 2018, 14827, 10797, 1038, 8640, 2680, 269, 6943, 2652, 27368, 14389, 292, 312, 291, 32052, 912, 2018, 952, 2680, 269, 4486, 2652, 27368, 14389, 318, 16810, 912, 3546, 1535, 5334, 32497, 815, 476, 271, 454, 3546, 586, 5334, 32497, 815, 910, 272, 454, 2018, 8640, 2680, 269, 4486, 2652, 27368, 14389, 32707, 32052, 912, 3546, 1535, 5334, 32497, 815, 476, 271, 454, 3546, 586, 5334, 32497, 815, 476, 272, 454, 2018, 8640, 2680, 269, 4486, 2652, 27368, 14389, 318, 4041, 10499, 912, 3546, 1535, 5334, 32497, 815, 910, 272, 454, 3546, 586, 5334, 32497, 815, 476, 271, 454, 2018, 8640, 2680, 269, 4486, 2652, 27368, 14389, 318, 305, 20846, 912, 3546, 1535, 5334, 32497, 815, 476, 272, 454, 3546, 586, 5334, 32497, 815, 476, 271, 0, 18851, 1029, 10461, 1029, 284, 12571, 368, 12916, 358, 421, 504, 484, 20701, 5228, 23094, 1104, 23094, 692, 338, 13996, 815, 23094, 10797, 338, 13996, 12500, 785, 263, 3488, 1015, 269, 278, 269, 14444, 269, 2004, 3299, 476, 2568, 277, 271, 11723, 338, 13996, 269, 4289, 523, 263, 24423, 2020, 6112, 6936, 912, 825, 1820, 3488, 19764, 478, 417, 356, 489, 25203, 495, 12571, 361, 1862, 17210, 825, 4276, 267, 2232, 815, 7746, 269, 23100, 10797, 825, 1247, 6936, 912, 1038, 556, 12774, 815, 4276, 269, 13440, 341, 263, 9083, 275, 994, 1038, 556, 8548, 20687, 815, 556, 12774, 19709, 13892, 263, 16780, 5317, 8782, 583, 325, 268, 279, 5073, 1038, 1820, 3488, 743, 1304, 281, 3299, 556, 8548, 20687, 994, 1038, 952, 556, 8548, 20687, 2652, 1412, 418, 489, 506, 418, 489, 506, 262, 610, 556, 8548, 20687, 2652, 1412, 6434, 12466, 2018, 4276, 25379, 10797, 1038, 5048, 815, 3403, 3488, 338, 13996, 281, 5073, 1038, 4276, 4732, 754, 9852, 20687, 269, 523, 13892, 15405, 1038, 952, 556, 8548, 20687, 2652, 1412, 418, 489, 506, 418, 489, 506, 262, 610, 556, 8548, 20687, 2652, 1412, 6434, 12466, 2018, 4276, 25379, 4590, 2018, 2736, 692, 0, 18851, 1029, 10461, 1029, 284, 12571, 368, 12916, 358, 421, 504, 484, 12163, 12163, 272, 563, 417, 375, 374, 419, 360, 489, 22047, 418, 365, 377, 420, 377, 355, 32352, 8505, 334, 8147, 25060, 483, 418, 489, 361, 420, 377, 362, 420, 481, 492, 14748, 12255, 8147, 418, 365, 377, 420, 377, 355, 30903, 506, 420, 487, 366, 8147, 420, 377, 355, 420, 374, 360, 19404, 491, 19404, 493, 8147, 20881, 509, 18021, 355, 419, 511, 487, 31271, 508, 26233, 356, 8147, 454, 23946, 370, 20881, 504, 13213, 485, 21251, 12571, 490, 7511, 22909, 482, 20881, 510, 25913, 25622, 10254, 505, 417, 375, 374, 14395, 508, 28032, 489, 12486, 420, 485, 367, 16533, 495, 28884, 418, 365, 480, 17276, 365, 377, 420, 377, 355, 420, 25693, 14035, 509, 20693, 510, 20881, 509, 13127, 485, 493, 20881, 509, 13127, 479, 506, 420, 377, 355, 12486, 3097, 19540, 491, 27936, 18263, 487, 22047, 16533, 493, 418, 365, 377, 420, 377, 355, 32352, 10111, 8505, 334, 476, 14756, 356, 19867, 379, 8505, 334, 13127, 373, 370, 418, 371, 375, 20693, 510, 419, 358, 374, 420, 364, 481, 18998, 7374, 31271, 508, 26233, 356, 8147, 454, 23946, 370, 4970, 498, 19404, 491, 13161, 364, 14395, 508, 27064, 364, 25913, 25622, 26109, 484, 25203, 500, 20693, 510, 20881, 509, 18998, 16583, 493, 20881, 509, 7511, 25913, 25622, 454, 20701, 258, 1362, 16790, 912, 258, 672, 12483, 815, 476, 275, 454, 16482, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 2681, 267, 2597, 267, 3432, 2187, 258, 1363, 1582, 269, 10233, 815, 2681, 454, 258, 1363, 1582, 269, 7076, 815, 2597, 454, 258, 1363, 1582, 4732, 32497, 815, 3432, 454, 16482, 258, 672, 1219, 1039, 5334, 32497, 4311, 2187, 258, 1363, 1820, 3488, 20693, 510, 20881, 509, 272, 5073, 16482, 258, 672, 7711, 5035, 24709, 454, 258, 672, 1219, 1016, 5334, 32497, 4311, 2187, 258, 1363, 1820, 3488, 16583, 493, 20881, 509, 272, 5073, 16482, 258, 672, 7711, 18878, 24709, 454, 258, 672, 1219, 3247, 10031, 258, 1363, 1820, 3488, 417, 479, 506, 420, 377, 355, 5405, 479, 272, 5073, 16482, 16482, 258, 1362, 2961, 8505, 334, 263, 8505, 334, 2187, 258, 672, 737, 339, 815, 1412, 419, 358, 374, 420, 364, 481, 7055, 258, 672, 524, 323, 815, 1412, 7251, 7055, 16482, 258, 672, 1219, 1039, 5334, 32497, 4311, 2187, 258, 1363, 1820, 3488, 20693, 510, 20881, 509, 273, 5073, 16482, 258, 672, 7711, 5035, 24709, 454, 258, 672, 1219, 1016, 5334, 32497, 263, 743, 338, 2187, 258, 1363, 1820, 3488, 16583, 493, 20881, 509, 273, 5073, 16482, 16482, 258, 1286, 815, 2961, 8505, 334, 3488, 421, 375, 495, 420, 487, 366, 3299, 476, 9610, 271, 267, 476, 13301, 994, 16482, 258, 1820, 6262, 541, 269, 10233, 267, 1286, 269, 7076, 267, 1286, 4732, 32497, 994, 258, 1820, 263, 10111, 8505, 334, 269, 19241, 267, 2961, 8505, 334, 6983, 323, 994, 16482, 258, 1286, 14491, 5334, 32497, 4590, 258, 2961, 8505, 334, 16553, 5334, 32497, 10797, 12163, 273, 269, 10254, 505, 417, 375, 374, 22047, 31094, 32352, 8147, 418, 371, 375, 20693, 510, 22047, 32352, 21211, 418, 362, 369, 17958, 23521, 354, 14756, 509, 18777, 350, 8110, 657, 333, 32352, 7511, 28098, 420, 365, 350, 7511, 14748, 12255, 454, 20701, 258, 1362, 12287, 912, 258, 672, 782, 20311, 815, 476, 271, 454, 16482, 258, 672, 1219, 6449, 8181, 9191, 1345, 2187, 258, 1363, 12287, 269, 718, 20311, 6834, 476, 272, 454, 16482, 258, 672, 1219, 6449, 23437, 9191, 1345, 2187, 258, 1363, 12287, 269, 718, 20311, 20699, 476, 272, 454, 16482, 258, 672, 7711, 5035, 24709, 454, 258, 672, 1219, 1397, 19571, 263, 743, 338, 2187, 258, 1363, 1820, 3488, 25203, 362, 31176, 491, 420, 351, 360, 10254, 505, 20881, 510, 7511, 28098, 420, 365, 350, 14748, 12255, 281, 24001, 8339, 8971, 27456, 3205, 269, 718, 20311, 4917, 16482, 16482, 258, 12287, 20481, 19571, 4590, 16482, 258, 782, 7272, 3205, 8217, 815, 32582, 4449, 1948, 13127, 363, 373, 420, 365, 350, 28578, 23989, 454, 258, 585, 1775, 538, 2039, 263, 2004, 2567, 4449, 476, 1948, 13127, 375, 374, 20881, 510, 2004, 14748, 28098, 420, 365, 350, 454, 258, 672, 782, 7272, 3205, 8217, 6910, 27456, 3205, 15405, 16482, 258, 12287, 20481, 19571, 4590, 16482, 258, 585, 1775, 538, 2039, 263, 1428, 2567, 4449, 476, 1948, 476, 10254, 510, 30522, 353, 1428, 14748, 28098, 420, 365, 350, 454, 258, 672, 782, 7272, 3205, 8217, 21014, 4590, 16482, 258 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8562, 3729, 2545, 534, 4345, 666, 581, 513, 1129, 540, 19535, 12263, 2073, 513, 2783, 1419, 3361, 676, 513, 932, 31779, 807, 3968, 269, 898, 5526, 607, 15087, 609, 5180, 267, 8258, 6438, 267, 610, 18700, 5546, 593, 519, 1350, 753, 610, 896, 519, 22509, 7219, 269, 1234, 5562, 12263, 2356, 814, 1614, 1713, 2589, 281, 12263, 538, 519, 10549, 267, 31792, 26628, 11909, 3750, 2073, 543, 23443, 9374, 267, 606, 28332, 23443, 628, 571, 3056, 547, 11213, 30614, 269, 4033, 1875, 268, 1597, 699, 531, 5563, 971, 607, 27187, 2073, 962, 619, 27091, 2073, 543, 1744, 580, 7578, 949, 2014, 713, 2783, 607, 1134, 2961, 2284, 2676, 32715, 954, 2889, 32216, 2319, 2994, 585, 5355, 1416, 11558, 543, 2792, 547, 4434, 519, 6268, 543, 2359, 540, 2545, 534, 4345, 543, 11126, 4093, 269, 5004, 540, 2545, 534, 4345, 1510, 606, 30753, 2014, 7620, 6212, 593, 519, 6388, 540, 2199, 9882, 3800, 269, 901, 568, 1946, 621, 568, 1455, 950, 789, 616, 3274, 5483, 827, 519, 1249, 676, 741, 4891, 269, 15439, 4946, 930, 540, 891, 25970, 18717, 547, 707, 5986, 666, 798, 13300, 585, 707, 1072, 538, 2489, 855, 596, 666, 849, 1265, 1212, 4461, 5627, 11503, 24191, 514, 602, 666, 581, 4294, 1283, 1227, 269, 3962, 1554, 267, 9900, 7485, 1394, 1427, 847, 519, 22509, 7219, 593, 707, 4050, 529, 543, 2973, 519, 2960, 609, 12853, 543, 1216, 269, 634, 12474, 593, 713, 13505, 568, 4843, 538, 513, 5758, 6752, 267, 543, 568, 5497, 547, 581, 1031, 585, 3872, 543, 9913, 5301, 1152, 269, 20226, 4363, 4931, 17800, 585, 20443, 543, 703, 847, 762, 14501, 2523, 538, 6375, 665, 20234, 668, 2213, 543, 15847, 2550, 267, 5077, 579, 14347, 269, 3502, 1518, 803, 540, 1007, 2534, 593, 713, 2243, 269, 8562, 3729, 2545, 534, 4345, 568, 835, 540, 519, 1034, 1455, 2759, 10389, 23314, 540, 19535, 12263, 269, 3474, 7469, 574, 2670, 4016, 547, 29212, 540, 519, 22509, 7219, 3297, 519, 1350, 753, 4050, 529, 543, 3340, 14849, 5786, 269, 9093, 609, 1826, 476, 273, 3987, 22577, 616, 936, 7466, 607, 2693, 547, 723, 2545, 534, 4345, 693, 2547, 2899, 538, 741, 2729, 1133, 23364, 16194, 22974, 267, 24498, 3095, 269, 962, 690, 4669, 568, 1776, 5140, 16185, 585, 2545, 534, 4345, 269, 634, 1034, 1455, 2589, 540, 2545, 534, 4345, 616, 25017, 267, 11926, 267, 543, 16698, 593, 519, 22509, 7219, 610, 519, 2212, 540, 519, 4050, 529, 269, 901, 3335, 5540, 1647, 27070, 543, 4587, 2367, 945, 616, 4608, 1844, 636, 322, 2213, 269, 7195, 534, 4345, 949, 1459, 538, 1082, 1114, 2081, 269, 8376, 666, 5631, 581, 1336, 538, 2550, 945, 723, 1932, 9395, 22509, 7219, 540, 741, 4050, 2478, 269, 634, 2126, 585, 2545, 534, 4345, 5673, 593, 519, 2014, 540, 519, 2068, 269, 1403, 519, 4387, 31268, 602, 519, 2545, 534, 4345, 568, 3361, 676, 513, 5312, 2960, 2783, 267, 789, 949, 1685, 513, 23707, 267, 799, 3322, 9427, 513, 1507, 2179, 540, 5160, 689, 519, 4050, 529, 543, 6313, 621, 585, 3676, 269, 2334, 568, 1946, 621, 568, 2864, 1271, 547, 581, 1134, 16477, 540, 782, 2009, 2589, 538, 1931, 547, 2061, 1646, 540, 2068, 693, 2110, 5469, 1510, 5739, 4539, 269, 634, 8912, 7103, 4929, 3968, 538, 519, 17150, 543, 8623, 573, 2096, 529, 616, 6213, 547, 524, 760, 549, 4148, 2135, 659, 514, 267, 6862, 4148, 2135, 659, 514, 267, 798, 15383, 7094, 710, 267, 3092, 269, 18520, 2545, 534, 4345, 14340, 950, 606, 3968, 971, 607, 16891, 27695, 267, 959, 747, 14137, 15633, 267, 610, 32411, 19082, 547, 519, 1350, 753, 4050, 529, 689, 519, 23443, 628, 571, 269, 1924, 777, 1058, 581, 14284, 607, 621, 666, 2014, 3819, 1145, 543, 16698, 269, 1548, 568, 8562, 3729, 2545, 534, 4345, 286, 932, 4141, 808, 300, 269, 634, 1034, 1455, 2014, 568, 3968, 676, 15443, 5866, 11549, 15092, 269, 898, 4221, 610, 8781, 540, 519, 9133, 540, 519, 4050, 529, 610, 519, 22509, 7219, 269, 7195, 534, 4345, 568, 6553, 3335, 3361, 676, 5563, 610, 5312, 2960, 2175, 269, 8437, 547, 1294, 2407, 2626, 3807, 865, 267, 666, 31969, 2014, 2545, 534, 4345, 286, 1403, 519, 4387, 31268, 3987, 267, 789, 949, 1931, 513, 10729, 1449, 610, 1973, 1449, 269, 1912, 574, 2670, 568, 1521, 762, 538, 519, 28928, 4259, 676, 546, 7976, 1210, 513, 10551, 28728, 543, 1928, 6646, 269, 8376, 666, 1267, 538, 1585, 1072, 2042, 1519, 2545, 534, 4345, 1535, 518, 582, 3821, 21933, 3438, 753, 269, 8191, 6176, 22439, 16653, 589, 269, 1703, 616, 513, 1297, 540, 1761, 3123, 269, 1772, 713, 3339, 286, 769, 1082, 2665, 267, 16789, 9882, 3123, 16698, 267, 799, 666, 5555, 1291, 547, 2545, 534, 4345, 269, 7195, 534, 4345, 568, 711, 513, 16770, 10299, 3968, 269, 1411, 949, 1995, 1928, 1282, 3023, 267, 1498, 267, 543, 596, 1058, 581, 6297, 547, 2259, 1434, 9882, 1354, 543, 1310, 3023, 269, 9861, 4608, 1844, 636, 322, 2213, 11438, 519, 5207, 1981, 3815, 269, 769, 1931, 547, 7413, 707, 1981, 540, 3968, 267, 596, 1058, 1246, 513, 1434, 9882, 6296, 543, 1118, 2386, 602, 596, 2973, 519, 4050, 529, 1134, 269, 595, 599, 26413, 14723, 568, 513, 25970, 1521, 609, 3875, 5140, 1072, 3601, 269, 3367, 811, 827, 519, 2640, 540, 20909, 543, 29018, 7401, 1934, 269, 589, 3714, 4815, 24683, 4919, 9043, 540, 5256, 2550, 609, 19058, 22377, 521, 269, 4033, 1875, 268, 1597, 699, 531, 5563, 971, 607, 27187, 2073, 962, 619, 27091, 2073, 543, 1744, 580, 7578, 949, 2014, 713, 2783, 607, 1134, 2961, 2284, 267, 4208, 2545, 534, 4345, 4386, 269, 9523, 593, 9365, 9523, 269, 7102, 948, 786, 581, 7494, 15874, 269, 769, 2013, 540, 9190, 3968, 12136, 519, 1655, 1259, 547, 1521, 519, 1966, 568, 547, 1491, 11216, 269, 4033, 3056, 3123, 540, 631, 294, 308, 3769, 3765, 3250, 10389, 1895, 1403, 972, 568, 11166, 267, 519, 4387, 949, 946, 513, 10412, 2220, 629, 547, 1491, 513, 3732, 543, 1449, 621, 585, 4551, 610, 17343, 267, 799, 949, 948, 873, 13209, 519, 2014, 540, 519, 6553, 563, 24464, 666, 1205, 13803, 3968, 540, 519, 1024, 8558, 269, 14717, 770, 7103, 616, 513, 1455, 2014, 540, 3968, 540, 519, 9133, 540, 519, 4050, 529, 267, 513, 2783, 1572, 2545, 534, 4345, 269, 7195, 534, 4345, 666, 581, 4330, 607, 6553, 540, 519, 4050, 529, 1350, 753, 269, 898, 666, 849, 1267, 538, 22509, 7219, 6553, 799, 6227, 519, 2212, 540, 4050, 529, 8259, 5256, 729, 4931, 322, 2213, 269, 6270, 3968, 568, 1572, 2022, 327, 4345, 269, 898, 949, 2049, 14384, 689, 2545, 534, 4345, 269, 1809, 3006, 1312, 22509, 7219, 543, 1350, 753, 666, 581, 8697, 693, 519, 1482, 942, 269, 634, 1292, 1966, 827, 713, 2068, 568, 519, 1249, 602, 621, 666, 2049, 2965, 693, 1022, 2085, 269, 2311, 519, 1482, 942, 2545, 534, 527, 1080, 568, 811, 2693, 547, 1860, 5256, 896, 476, 275, 1296, 2025, 269, 898, 666, 849, 581, 4767, 609, 2937, 2367, 945, 14284, 4931, 322, 2358, 269, 4340, 547, 519, 5767, 7194, 476, 272, 540, 476, 1839, 8695, 896, 476, 275, 949, 7985, 689, 713, 18473, 6553, 269, 2311, 519, 1482, 942, 2545, 534, 4345, 5540, 1169, 555, 7398, 328, 996, 812, 945, 814, 711, 1044, 4931, 322, 2213, 269, 1703, 616, 1896, 2010, 540, 2545, 534, 4345, 3123, 269, 1358, 1331, 1875, 19899, 1254, 543, 3968, 3123, 269, 8376, 666, 5631, 581, 1336, 538, 2550, 945, 723, 1932, 9395, 22509, 7219, 540, 741, 4050, 2478, 269, 769, 1840, 9038, 945, 7985, 689, 3987, 616, 849, 12155, 547, 971, 6553, 269, 5047, 538, 713, 2013, 2545, 534, 4345, 666, 1020, 6385, 269, 8376, 666, 1267, 538, 1585, 1072, 2042, 1519, 2545, 534, 4345, 1535, 518, 582, 3821, 21933, 3438, 753, 269, 898, 4016, 547, 5312, 27150, 799, 3322, 14124, 711, 1152, 540, 22509, 7219, 855, 849, 519, 1350, 753, 269, 1912, 574, 2670, 568, 849, 3769, 538, 519, 1592, 540, 2009, 4539, 269, 898, 5631, 4386, 950, 519, 22509, 7219, 568, 1360, 9395, 269, 9435, 568, 4440, 519, 1034, 4049, 2009, 12343, 269, 1772, 13803, 513, 17343, 286, 932, 4545, 637, 4214, 543, 5204, 27489, 269, 898, 1058, 849, 581, 7074, 602, 519, 5354, 540, 2367, 798, 711, 723, 519, 535, 17344, 5006, 2856, 602, 789, 723, 13803, 3968, 269, 898, 666, 581, 538, 3356, 1510, 1022, 5469, 269, 898, 7140, 856, 519, 2021, 616, 811, 2693, 547, 1020, 13803, 269, 2311, 519, 1482, 942, 621, 568, 1454, 4443, 585, 8951, 547, 3313, 519, 12136, 540, 3968, 593, 922, 2038, 5933, 269, 2201, 519, 824, 1688, 2367, 949, 676, 8572, 547, 2697, 922, 2589, 585, 513, 1978, 1974, 540, 942, 799, 666, 1291, 547, 13803, 1646, 269, 901, 568, 1946, 621, 568, 1455, 950, 789, 616, 3274, 5483, 827, 519, 1249, 676, 741, 4891, 269, 6271, 1259, 547, 2697, 3968, 568, 547, 2347, 2564, 6514, 607, 4166, 607, 2009, 269, 1411, 949, 1376, 4743, 1978, 9636, 543, 16698, 538, 930, 14026, 269, 769, 1840, 621, 1058, 849, 581, 7074, 602, 2367, 616, 811, 12155, 547, 13803, 538, 6476, 609, 2021, 269, 2368, 1004, 19451, 569, 1589, 602, 1152, 2021, 949, 7985, 689, 713, 18473, 1072, 1966, 269, 2334, 568, 1946, 621, 568, 2864, 1271, 547, 581, 1134, 16477, 540, 782, 2009, 2589, 538, 1931, 547, 2061, 1646, 540, 2068, 693, 2110, 5469, 1510, 5739, 4539, 269, 898, 4221, 610, 8781, 540, 519, 9133, 540, 519, 4050, 529, 610, 519, 22509, 7219, 269, 4414, 16420, 593, 4299, 2127, 269, 1452, 1072, 2042, 2099, 1152, 1896, 2009, 2589, 540, 2545, 534, 4345, 269, 769, 2013, 596, 1616, 547, 2061, 519, 3356, 540, 519, 2068, 596, 991, 547, 581, 1134, 16477, 540, 782, 2009, 2589, 538, 1931, 547, 2697, 519, 6553, 269, 1358, 1331, 5394, 11166, 543, 16698, 269, 8447, 6514, 540, 2699, 16420, 538, 519, 4299, 1858, 568, 2556, 538, 2013, 596, 5469, 1022, 540, 519, 1657, 5018, 2589, 610, 941, 5483, 827, 519, 1249, 602, 707, 7649, 849, 814, 13803, 3968, 269, 898, 1058, 581, 7074, 602, 2550, 786, 711, 3068, 1022, 7965, 538, 23235, 2545, 534, 4345, 269, 1411, 666, 5077, 3119, 1416, 10629, 607, 1134, 607, 2489, 19995, 269, 1358, 786, 3362, 3713, 2699, 16698, 10851, 1472, 519, 1350, 753, 799, 568, 519, 1101, 1129, 540, 13803, 3968, 269, 2368, 7189, 786, 1683, 741, 2550, 609, 3355, 5796, 593, 875, 547, 2057, 2417, 16698, 269, 2353, 596, 991, 568, 547, 1246, 2635, 543, 2973, 9882, 269, 16259, 547, 2626, 2123, 2055, 827, 519, 5767, 1071, 7978, 543, 7873, 1682, 602, 596, 946, 269, 769, 930, 2665, 3968, 666, 1267, 538, 3735, 343, 543, 824, 2326, 799, 616, 1031, 585, 741, 2504, 269, 3962, 1554, 267, 9900, 7485, 1394, 1427, 847, 519, 22509, 7219, 593, 707, 4050, 529, 543, 2973, 519, 2960, 609, 12853, 543, 1216, 269, 3973, 3819, 519, 2960, 5402, 269, 1411, 949, 849, 21237, 4019, 606, 30624, 25193, 8645, 547, 2061, 24088, 269, 0, 4322, 7792, 3211, 616, 3177, 547, 948, 707, 3214, 1353, 269, 3683, 476, 1911, 876, 2979, 2542, 8239, 543, 1603, 6863, 10259, 543, 25777, 1603, 3211, 563, 5804, 1297, 3211, 547, 7801, 3211, 972, 616, 3211, 543, 2238, 547, 1489, 960, 609, 476, 276, 1032, 6040, 3214, 563, 17582, 18694, 585, 476, 276, 1032, 31545, 269, 29895, 543, 8571, 16974, 6096, 269, 5131, 15026, 18014, 6096, 14594, 32274, 6096, 7089, 32274, 6096, 23426, 32274, 6096, 16514, 32274, 6096, 7412, 32274, 6096, 2776, 5675, 6096, 269, 1411, 961, 1265, 513, 2603, 540, 1114, 2010, 540, 1863, 543, 7792, 3211, 585, 476, 276, 4458, 29419, 538, 519, 3640, 1519, 15460, 543, 3432, 4255, 563, 12606, 1863, 7792, 2241, 10203, 3211, 585, 20854, 23021, 9656, 3214, 543, 824, 476, 274, 268, 276, 1296, 1453, 269, 6096, 585, 476, 276, 5729, 6196, 338, 269, 14175, 11312, 17074, 609, 2681, 1913, 563, 8722, 601, 1863, 547, 3346, 721, 2436, 596, 1616, 547, 2307, 519, 1007, 9212, 649, 949, 10311, 269, 2353, 540, 873, 1832, 707, 476, 276, 4458, 6040, 547, 476, 278, 4458, 6040, 1453, 7722, 607, 789, 1020, 1007, 1565, 6208, 609, 938, 13004, 543, 2296, 3211, 585, 476, 276, 4458, 29419, 269, 1520, 5192, 5215, 540, 4116, 2275, 2761, 539, 2238, 602, 5348, 322, 909, 609, 519, 1153, 1032, 563, 10403, 15026, 6096, 1280, 476, 276, 5729, 6196, 338, 269, 5131, 3211, 585, 9656, 547, 3446, 476, 276, 3214, 269, 5272, 7853, 1058, 1378, 543 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 634, 5917, 11229, 269, 8158, 476, 2918, 5988, 476, 1001, 279, 563, 268, 670, 4456, 23360, 23817, 3201, 292, 269, 834, 17359, 2361, 8214, 956, 3683, 1633, 25397, 693, 595, 2784, 548, 13738, 14840, 2668, 1401, 3133, 518, 563, 268, 834, 290, 2784, 548, 7926, 547, 1449, 476, 2568, 28359, 2668, 634, 5917, 11229, 269, 8158, 476, 2918, 5988, 476, 1001, 279, 563, 268, 834, 290, 2784, 548, 13738, 14840, 2668, 8158, 476, 2918, 5988, 476, 1001, 279, 563, 347, 310, 1731, 12855, 12780, 814, 2923, 1644, 547, 595, 2784, 548, 13738, 6441, 820, 853, 269, 1849, 1515, 2817, 5244, 269, 347, 0, 25203, 505, 2495, 538, 2296, 454, 272, 15301, 418, 488, 488, 4970, 506, 420, 354, 379, 418, 498, 378, 21928, 417, 503, 357, 10429, 371, 19404, 490, 282, 29635, 352, 483, 264, 6445, 282, 17078, 548, 1912, 29320, 454, 273, 15301, 14395, 373, 419, 374, 367, 264, 3180, 282, 2270, 1912, 29320, 454, 268, 2859, 281, 2776, 341, 8921, 454, 268, 12624, 568, 771, 3107, 519, 4672, 8645, 4586, 268, 1284, 1419, 946, 519, 8708, 547, 3277, 547, 922, 9115, 4586, 268, 634, 1032, 476, 2735, 273, 729, 1010, 4832, 4586, 268, 634, 17334, 327, 1228, 729, 538, 922, 5835, 543, 13711, 18710, 4586, 268, 634, 1769, 11237, 10596, 998, 519, 8708, 8066, 519, 11517, 1547 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9478, 918, 1170, 559, 267, 1912, 6185, 1421, 9972, 2278, 540, 519, 1353, 543, 12314, 7548, 538, 519, 17449, 543, 8426, 983, 2201, 322, 14003, 5358, 540, 634, 654, 626, 541, 4659, 9435, 4741, 269, 834, 763, 6602, 10741, 909, 513, 1761, 1007, 1505, 547, 1521, 29458, 273, 676, 22215, 519, 10510, 2281, 2047, 543, 676, 27781, 267, 513, 4640, 2907, 6964, 538, 1978, 2860, 11257, 4799, 257, 291, 2607, 338, 899, 2997, 770, 514, 267, 585, 1383, 267, 3077, 519, 3395, 1973, 8043, 2437, 918, 1170, 559, 1767, 267, 834, 8117, 1018, 2306, 2587, 328, 558, 582, 514, 513, 15673, 532, 3077, 568, 602, 621, 568, 1031, 676, 1312, 1973, 8043, 543, 519, 3395, 10510, 2281, 602, 991, 519, 5567, 891, 1973, 8043, 1683, 4799, 22143, 273, 568, 513, 4719, 4524, 3361, 676, 513, 15817, 538, 1312, 12215, 540, 513, 1268, 781, 29458, 273, 5444, 269, 898, 4386, 538, 827, 835, 538, 1169, 476, 1789, 267, 1822, 1004, 267, 543, 621, 568, 6140, 22420, 269, 29458, 273, 3622, 5526, 607, 22480, 12970, 538, 519, 8401, 1062, 540, 1762, 4079, 267, 1419, 4929, 18555, 1145, 607, 12970, 1860, 519, 17391, 13285, 269, 2755, 519, 12970, 616, 6140, 22480, 267, 811, 23872, 12970, 949, 5555, 8451, 269, 5047, 267, 1256, 519, 22480, 12970, 1419, 2014, 27676, 1928, 607, 789, 3262, 2429, 519, 8401, 1062, 269, 1703, 568, 4867, 1100, 2126, 585, 29458, 273, 824, 982, 6391, 547, 4894, 12970, 607, 789, 2408, 563, 300, 20706, 538, 519, 29458, 273, 5444, 7519, 519, 1599, 540, 519, 5444, 781, 3940, 1587, 267, 8585, 4802, 267, 799, 568, 851, 540, 606, 14969, 7636, 15202, 13374, 602, 21560, 875, 2281, 1332, 543, 7941, 269, 1452, 11444, 616, 28330, 547, 1344, 9055, 267, 543, 27200, 835, 3940, 666, 7369, 519, 1599, 540, 824, 5946, 1312, 25318, 543, 19654, 2059, 519, 8756, 269, 8585, 4802, 568, 3226, 4277, 547, 2860, 27563, 267, 607, 519, 13592, 723, 1044, 1336, 538, 827, 3368, 540, 782, 2665, 540, 519, 14686, 5761, 2860, 8544, 32196, 267, 543, 538, 930, 8320, 540, 11178, 267, 15485, 543, 824, 11871, 563, 6097, 547, 918, 1170, 559, 267, 8585, 4802, 7363, 13515, 2281, 689, 3395, 2899, 789, 2097, 883, 3346, 609, 11105, 2281, 269, 2334, 568, 267, 8585, 4802, 25907, 547, 519, 2587, 328, 558, 582, 514, 693, 834, 329, 17313, 2437, 2127, 1141, 2281, 2097, 883, 3346, 609, 1142, 824, 269, 1879, 3808, 1927, 267, 519, 15025, 5946, 9305, 513, 5365, 547, 519, 1591, 602, 267, 9247, 267, 9753, 621, 547, 24044, 2417, 2208, 543, 3350, 269, 898, 568, 513, 1259, 585, 2281, 547, 11282, 741, 2208, 1369, 513, 5160, 269, 9435, 748, 2281, 267, 585, 1383, 267, 1419, 3668, 602, 2631, 540, 22629, 267, 543, 789, 786, 3136, 3395, 31250, 563, 763, 918, 1170, 559, 8047, 4566, 547, 3136, 741, 3408, 540, 2587, 328, 558, 582, 514, 607, 513, 1761, 9354, 3077, 585, 8156, 29458, 273, 267, 607, 1134, 607, 1413, 883, 519, 1909, 540, 2587, 328, 558, 582, 514, 538, 824, 11871, 1634, 547, 581, 4299, 676, 29458, 273, 13592, 563, 293, 27448, 585, 713, 1353, 729, 3177, 538, 851, 998, 513, 9886, 547, 918, 1170, 559, 689, 519, 2817, 9435, 4659, 540, 519, 2817, 23941, 540, 2657, 269, 634, 1353, 729, 849, 6462, 676, 513, 8479, 15766, 1807, 13815, 689, 519, 5753, 781, 570, 32214, 7690, 547, 932, 684, 1782, 962, 328, 267, 1912, 6185, 1421, 513, 2022, 4777, 28118, 8284, 538, 519, 918, 1170, 559, 8047, 563, 310, 626, 541, 3523, 2209, 849, 1331, 1382, 20843, 8845, 24410, 339, 2006, 543, 3026, 788, 320, 4168, 282, 10927, 1053, 12253, 320, 674, 5028, 543, 10496, 638, 5202, 700, 269, 2997, 10042, 282, 543, 654, 626, 541, 20485, 6424, 654, 269, 4325, 545, 615, 267, 1912, 6185, 269, 543, 27050, 523, 631, 1301, 528, 7322, 267, 1912, 6185, 269, 3213, 22052, 4243, 849, 1331, 589, 7288, 327, 27323, 1744, 30266, 334, 267, 1912, 6185, 1421, 540, 519, 9435, 3163, 4659, 540, 14135, 693, 519, 2817, 2160, 540, 14135, 282, 700, 1513, 4591, 16936, 1066, 267, 1912, 6185, 1421, 543, 715, 987, 531, 773, 700, 269, 6431, 5459, 540, 519, 10127, 565, 1231, 6390, 4659, 538, 14351, 27048, 267, 13785, 282, 543, 26277, 25745, 1067, 7304, 778, 600, 574, 990, 267, 631, 6185, 1421, 540, 12590, 4937, 11233, 538, 11785, 563, 763, 654, 626, 541, 4659, 568, 606, 3486, 6205, 538, 24118, 1382, 609, 2027, 6791, 538, 2860, 1382, 543, 6669, 1646, 269, 5853, 539, 538, 476, 6245, 273, 607, 519, 1101, 4830, 18758, 24118, 1382, 20576, 538, 519, 2197, 267, 654, 626, 541, 814, 1279, 4371, 519, 20380, 9435, 4741, 25084, 689, 519, 2817, 9435, 4659, 269, 634, 4659, 1568, 8362, 547, 2327, 602, 1382, 8441, 1847, 689, 519, 8047, 547, 519, 16758, 607, 3533, 607, 2009, 269, 634, 654, 626, 541, 4659, 281, 4653, 781, 13028, 625, 1107, 8751, 6563, 781, 595, 999, 563, 294, 2958, 700, 6856, 1923, 31823, 2336, 3080, 1900, 6251, 547, 4641, 454, 736, 269, 6860, 269, 1001, 279, 1923, 7665, 268, 23945, 1188, 268, 9743, 26623, 24166, 9980, 19213, 331, 31258, 6798, 860, 773, 454, 763, 4158, 2427, 540, 524, 747, 331, 573, 3165, 281, 689, 28994, 756, 531, 547, 27877, 454, 736, 269, 6860, 269, 1001, 279, 1923, 16076, 514, 7564, 3944, 539, 714, 17430, 3832, 10713, 28059, 654, 1329, 454, 17206, 540, 21086, 3173, 723, 2813, 513, 27500, 12432, 1500, 540, 16536, 11103, 602, 666, 581, 1031, 547, 7816, 7745, 4452, 24481, 7633, 1510, 519, 8374, 3006, 4843, 676, 824, 2326, 563, 11847, 1515, 532, 2101, 4452, 24481, 7633, 971, 607, 1346, 538, 519, 1850, 666, 581, 513, 1279, 543, 13943, 1184, 563, 19138, 3370, 538, 519, 4760, 589, 5425, 11930, 10049, 1299, 3955, 5865, 568, 519, 6364, 540, 606, 3486, 4674, 602, 3769, 6887, 689, 667, 637, 6577, 543, 12670, 538, 5125, 267, 543, 519, 2475, 563, 14722, 693, 519, 29581, 3128, 16379, 19053, 550, 5300, 667, 637, 6577, 7304, 1601, 754, 21807, 630, 295, 313, 11403, 264, 1927, 609, 9164, 689, 519, 29581, 3128, 16379, 19053, 550, 5300, 12670, 630, 295, 313, 289, 264, 543, 519, 2160, 540, 9098, 2483, 5591, 767, 3810, 3608, 543, 13085, 18325, 11920, 2707, 281, 9122, 593, 2203, 9273, 267, 21575, 540, 519, 7665, 28697, 534, 1188, 4659, 585, 17437, 8212, 538, 1261, 14988, 6199, 15974, 513, 3209, 1505, 585, 606, 3608, 1164, 1532, 18115, 4800, 18325, 11920, 2707, 269, 589, 9649, 2458, 13846, 18325, 11920, 13942, 568, 6383, 689, 519, 5872, 540, 513, 10053, 16600, 3146, 26245, 643, 2065, 6475, 11237, 609, 513, 6094, 4396, 18364, 269, 2037, 1120, 2045, 18325, 17530, 616, 2941, 13124, 3812, 607, 519, 6475, 11237, 10943, 1080, 883, 2083, 14613, 1247, 9070, 908, 2066, 519, 18364, 269, 634, 4611, 18325, 11920, 1648, 543, 13441, 5512, 3209, 6901, 538, 6046, 543, 4909, 6323, 563, 763, 6093, 15423, 540, 1769, 15025, 609, 606, 1843, 540, 519, 2890, 6523, 332, 10253, 609, 519, 2450, 540, 713, 1843, 269, 1280, 8444, 267, 713, 9832, 689, 7298, 1769, 547, 2483, 1805, 762, 4745, 20162, 666, 581, 3812, 689, 2937, 6565, 2281, 23608, 689, 5642, 20768, 269, 901, 568, 1500, 2009, 676, 1802, 1424, 1808, 7636, 3157, 9648, 1282, 25782, 20162, 5250, 267, 607, 3173, 689, 519, 2160, 543, 2160, 11233, 540, 30239, 1867, 538, 519, 3621, 4760, 623, 2793, 306, 563, 26807, 8544, 26067, 2096, 531, 6565, 23995, 668, 531, 2281, 689, 519, 5642, 20768, 540, 4079, 616, 2808, 5393, 9621, 585, 20258, 5160, 20344, 269, 1452, 2937, 6565, 2483, 1103, 519, 4339, 1996, 2860, 267, 3744, 616, 3384, 1007, 5061, 547, 5734, 10510, 2281, 693, 865, 2484, 30694, 4617, 2798, 269, 6270, 513, 968, 338, 648, 5544, 892, 568, 519, 3940, 1950, 2483, 1724, 269, 6860, 269, 1001, 279, 1923, 7926, 5240, 454, 1321, 269, 6860, 269, 1001, 279, 1923, 7926, 5240, 454, 6021, 269, 6860, 269, 1001, 279, 1923, 7926, 5240, 454, 736, 269, 6860, 269, 1001, 279, 1923, 8212, 543, 18395, 454, 736, 269, 6860, 269, 1001, 279, 1923, 3955, 13694, 3194, 454, 736, 269, 6860, 269, 1001, 279, 1923, 8212, 543, 18395, 0, 7069, 10026, 1153, 27070, 8250, 568, 513, 6408, 540, 11648, 269, 2701, 2501, 1753, 3232, 689, 1153, 538, 17229, 1317, 540, 1896, 4775, 15032, 269, 2986, 1576, 267, 594, 2648, 1250, 8250, 632, 8765, 543, 1131, 798, 4376, 547, 948, 1200, 269, 594, 993, 31604, 602, 1352, 949, 2015, 11980, 607, 513, 1797, 547, 1439, 713, 6057, 563, 9515, 568, 1373, 8231, 958, 543, 3006, 9308, 3771, 21724, 1247, 538, 1153, 267, 607, 1134, 607, 3842, 519, 4950, 609, 519, 3262, 540, 6013, 543, 7301, 32422, 269, 594, 723, 30409, 519, 1153, 3135, 24468, 543, 519, 9030, 547, 1100, 1992, 4799, 268, 590, 5417, 2989, 9977, 454, 32091, 590, 5417, 2989, 9977, 2676, 296, 993, 865, 20994, 547, 5873, 602, 707, 8250, 814, 1185, 547, 4308, 609, 971, 11648, 2623, 269, 10251, 267, 930, 1004, 616, 29043, 609, 2933, 543, 1265, 12257, 538, 1818, 824, 1004, 781, 2729, 3765, 30514, 563, 31624, 2391, 568, 827, 606, 19261, 540, 1379, 610, 519, 9837, 547, 19531, 622, 1776, 609, 519, 3463, 540, 2168, 610, 11913, 2800, 269, 634, 4439, 569, 568, 3168, 585, 513, 5114, 540, 4250, 269, 1879, 519, 4439, 569, 1281, 711, 3035, 519, 5551, 31604, 5114, 267, 540, 339, 550, 1307, 789, 1847, 593, 547, 1985, 6408, 563, 763, 3804, 568, 547, 7668, 707, 8250, 543, 547, 948, 1200, 609, 5355, 1200, 1582, 268, 13548, 269, 5620, 596, 9415, 707, 8250, 547, 12837, 267, 1796, 7381, 609, 6015, 543, 11716, 519, 11913, 8292, 286, 8682, 21873, 786, 1930, 9885, 543, 786, 5000, 513, 6408, 547, 1491, 4220, 267, 2769, 741, 4606, 543, 4555, 609, 6015, 563, 13706, 2348, 1200, 6443, 513, 1895, 3919, 602, 568, 540, 1719, 547, 1200, 267, 971, 607, 519, 21756, 2480, 8083, 267, 606, 4081, 1895, 267, 5026, 2319, 610, 513, 5939, 267, 3092, 269, 23560, 865, 949, 948, 1200, 547, 1118, 1007, 2828, 267, 2744, 6015, 543, 2087, 1200, 1514, 1983, 563, 2791, 5018, 602, 596, 1185, 9275, 609, 519, 1153, 3135, 24468, 543, 519, 9030, 282, 1705, 789, 7662, 513, 5870, 609, 519, 3237, 540, 891, 6690, 286, 1403, 711, 267, 31274, 593, 513, 2385, 10554, 609, 519, 3885, 269, 3503, 1524, 707, 4967, 865, 596, 616, 5423, 609, 1018, 596, 1131, 899, 547, 2161, 543, 798, 711, 1205, 883, 513, 22551, 532, 6474, 269, 3816, 664, 5059, 593, 1018, 519, 5870, 568, 827, 281, 707, 8250, 269, 3973, 1246, 998, 609, 519, 8274, 540, 4065, 1292, 5604, 563, 13706, 2348, 513, 1507, 5428, 693, 707, 1753, 543, 16436, 15032, 543, 741, 3237, 936, 269, 12833, 924, 513, 10584, 547, 6443, 596, 543, 2285, 513, 5618, 6881, 827, 11648, 2623, 269, 2142, 7874, 543, 1577, 873, 1205, 547, 917, 596, 543, 707, 8250, 269, 901, 949, 5000, 519, 676, 1056, 619, 547, 3717, 909, 593, 15773, 540, 707, 8250, 563, 2005, 568, 1271, 602, 649, 1577, 938, 1453, 917, 621, 568, 15528, 711, 547, 899, 610, 581, 2828, 609, 3025, 269, 1809, 621, 568, 1271, 602, 649, 1521, 3025, 609, 2463, 543, 11587, 269, 7490, 1832, 803, 5483, 607, 547, 875, 1919, 2490, 856, 585, 596, 543, 707, 8250, 563, 297, 659, 638, 5202, 962, 269, 12829, 568, 513, 1647, 1153, 4116, 543, 814, 1044, 6964, 609, 519, 14205, 20087, 16644, 987, 600, 1153, 1062, 2094, 476, 1220, 271, 269, 2701, 814, 12236, 1200, 16362, 540, 4065, 538, 12409, 15557, 689, 11062, 5441, 3427, 540, 4065, 269, 2701, 568, 519, 2278, 540, 834, 1432, 24439, 589, 10089, 569, 8119, 27189, 707, 2055, 543, 8292, 547, 4991, 27926, 12671, 24830, 269, 24108, 4944, 582, 2593, 610, 18078, 17106, 11333, 3820, 269, 0, 6637, 476, 277, 281, 4804, 454, 13981, 815, 606, 11972, 1689, 538, 2623, 267, 4611, 689, 1995, 563, 30812, 819, 532, 815, 513, 1184, 538, 799, 2825, 15128, 543, 8965, 3157, 454, 10521, 2010, 540, 14555, 602, 3744, 1353, 912, 272, 264, 18190, 14555, 610, 623, 822, 21754, 1014, 14555, 1107, 4386, 950, 649, 1451, 602, 454, 18314, 2010, 540, 2621, 979, 1927, 269, 589, 1826, 540, 1565, 3210, 602, 4386, 454, 15290, 513, 9243, 1843, 2501, 547, 29360, 513, 16846, 633, 3210, 950, 621, 568, 454, 817, 18620, 609, 513, 17003, 602, 2907, 7472, 602, 3210, 563, 273, 264, 7358, 656, 14555, 610, 15747, 14555, 1107, 4386, 950 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1607, 3381, 14550, 519, 476, 277, 266, 272, 7592, 540, 519, 4739, 540, 1603, 543, 3947, 1806, 540, 875, 547, 11753, 873, 883, 9910, 268, 1652, 976, 269, 14520, 7132, 835, 7592, 1603, 19875, 2093, 270, 20880, 281, 519, 2295, 540, 519, 5048, 267, 519, 1543, 540, 519, 4062, 267, 519, 1292, 6249, 267, 1927, 609, 519, 3877, 602, 10802, 543, 269, 6478, 3903, 1434, 1603, 814, 1808, 17205, 543, 13450, 543, 2178, 1913, 602, 5838, 519, 5856, 781, 5048, 4845, 21711, 5220, 1058, 4268, 538, 3259, 267, 609, 513, 269, 634, 8847, 540, 519, 3670, 7132, 835, 7592, 540, 1603, 20444, 786, 338, 476, 278, 628, 3446, 1362, 910, 476, 1001, 274, 27666, 1775, 786, 581, 4946, 519, 7508, 7592, 4166, 563, 18439, 14247, 2335, 8291, 7911, 323, 781, 4604, 476, 277, 7132, 476, 272, 1603, 7592, 593, 533, 15517, 1923, 1294, 811, 2093, 827, 3450, 13002, 267, 3450, 1603, 543, 1453, 2835, 269, 18391, 585, 2298, 538, 2875, 1603, 1565, 547, 1294, 519, 1919, 3214, 666, 798, 865, 649, 666, 538, 1249, 267, 789, 1631, 1289, 621, 3670, 7132, 835, 7592, 855, 621, 781, 1759, 269, 5675, 10962, 519, 476, 277, 7592, 11540, 593, 10962, 519, 476, 277, 7592, 1810, 1405, 581, 519, 1152, 835, 538, 519, 4928, 945, 6487, 1018, 513, 1434, 835, 568, 1544, 707, 16023, 269, 3004, 1080, 1603, 568, 3710, 593, 519, 7944, 18429, 540, 1603, 2853, 281, 1603, 7592, 267, 1603, 1184, 267, 543, 1603, 13186, 4585, 513, 678, 3578, 7583, 5069, 3381, 269, 476, 277, 1341, 476, 272, 7592, 540, 1603, 281, 855, 2186, 540, 513, 1928, 547, 1118, 11941, 585, 1175, 835, 1126, 855, 621, 1281, 1305, 513, 8799, 1603, 7778, 540, 519, 476, 277, 266, 272, 1603, 7592, 269, 634, 476, 277, 1341, 476, 272, 7592, 540, 1603, 281, 519, 2347, 3391, 281, 9344, 476, 274, 4647, 835, 540, 519, 1863, 2186, 548, 8924, 547, 950, 938, 8664, 7550, 519, 476, 277, 16023, 1603, 270, 2675, 1681, 563, 5649, 827, 519, 1382, 543, 960, 602, 3366, 547, 519, 1646, 540, 519, 476, 277, 266, 272, 7592, 2485, 362, 1018, 616, 519, 7592, 540, 1434, 1603, 519, 476, 277, 266, 272, 7592, 540, 1603, 10378, 2099, 519, 269, 15516, 649, 828, 781, 476, 277, 1341, 476, 272, 7592, 1770, 1544, 3040, 10962, 519, 476, 277, 1341, 476, 272, 7592, 540, 1603, 3450, 519, 519, 824, 476, 274, 1053, 2328, 1524, 693, 2547, 835, 2243, 789, 723, 269, 1548, 568, 519, 3670, 7132, 835, 7592, 540, 1603, 519, 3670, 7132, 835, 16023, 568, 513, 1259, 540, 3450, 267, 9781, 267, 543, 12570, 519, 6044, 540, 1603, 519, 3670, 7592, 540, 1603, 563, 8340, 476, 277, 7132, 476, 272, 1603, 7592, 3992, 4566, 543, 3450, 2200, 3533, 1265, 602, 8300, 2875, 1565, 269, 9257, 568, 519, 2497, 540, 1603, 1175, 607, 513, 2777, 814, 606, 13675, 267, 606, 14827, 267, 10689, 1811, 602, 1921, 267, 543, 513, 24534, 11768, 267, 865, 1932, 1281, 513, 4062, 540, 1434, 1603, 269, 901, 568, 513, 15826, 543, 9266, 3126, 540, 4245, 799, 948, 4928, 3610, 11753, 519, 476, 277, 1341, 476, 272, 7592, 540, 1603, 883, 835, 540, 1200, 21777, 2093, 568, 476, 277, 2389, 11681, 563, 2690, 811, 1863, 7792, 17074, 267, 4928, 2238, 267, 543, 4116, 2645, 267, 3643, 7005, 900, 1602, 1756, 269, 14520, 7592, 5037, 1603, 19875, 476, 272, 281, 4098, 281, 476, 273, 835, 1259, 585, 519, 3670, 7592, 1603, 19875, 2278, 563, 277, 7132, 476, 272, 7592, 476, 272, 476, 277, 1341, 476, 272, 7592, 540, 1603, 4843, 676, 281, 512, 2088, 18410, 17433, 476, 273, 476, 277, 1341, 476, 272, 7592, 1107, 519, 3483, 1892, 519, 7592, 1683, 3610, 609, 513, 563, 10870, 951, 519, 476, 277, 266, 272, 7592, 540, 1603, 1519, 2093, 267, 3919, 267, 5639, 267, 2262, 3903, 267, 4845, 21711, 267, 14908, 267, 543, 6881, 269, 6651, 585, 2870, 3811, 5830, 476, 272, 476, 277, 13652, 1080, 3610, 685, 1603, 3391, 3670, 7132, 835, 7592, 269, 3040, 519, 3670, 7592, 1683, 513, 1062, 585, 968, 24014, 2870, 5830, 998, 476, 277, 2389, 11681, 1603, 4879, 543, 6044, 835, 547, 1079, 4374, 269, 476, 277, 266, 272, 16023, 10378, 1603, 2069, 22070, 2813, 519, 476, 277, 266, 272, 16023, 1603, 2203, 540, 6044, 1299, 4879, 547, 948, 7855, 1683, 2312, 267, 5812, 267, 543, 2963, 269, 28038, 519, 476, 277, 7592, 547, 1053, 476, 273, 18575, 10643, 602, 1131, 581, 3617, 547, 6338, 782, 476, 277, 7592, 476, 275, 723, 873, 3801, 547, 1224, 835, 1776, 779, 1603, 563, 2171, 948, 3610, 543, 1053, 3914, 741, 1603, 3853, 538, 13460, 2066, 519, 721, 543, 519, 1158, 649, 8910, 899, 547, 948, 596, 267, 1932, 1205, 547, 917, 721, 689, 938, 3896, 799, 269, 1403, 596, 10093, 1405, 1031, 519, 3670, 7592, 540, 1603, 1354, 476, 277, 16023, 1603, 281, 5639, 835, 8792, 3877, 1459, 606, 1843, 547, 519, 1053, 7132, 267, 972, 779, 513, 1863, 269, 634, 3670, 7132, 835, 1603, 7592, 1654, 4815, 815, 5639, 8909, 773, 815, 2093, 546, 992, 554, 11484, 773, 815, 2262, 3903, 621, 1905, 333, 9693, 815, 6881, 20842, 698, 8181, 333, 19660, 815, 3919, 2121, 572, 341, 322, 523, 269, 2290, 540, 519, 476, 277, 1341, 272, 7592, 540, 1603, 568, 2093, 713, 16023, 16621, 23730, 543, 7446, 2093, 602, 616, 1808, 543, 3312, 10026, 1053, 1419, 723, 269, 3040, 1603, 949, 3100, 7344, 3040, 1603, 11148, 547, 581, 6366, 610, 13888, 3040, 2370, 610, 1100, 20726, 540, 5856, 3297, 1913, 3670, 7592, 1603, 19875, 2278, 269, 0, 1692, 547, 2328, 513, 3932, 585, 513, 1382, 1957, 519, 3932, 540, 513, 1382, 1957, 2115, 547, 17412, 519, 1543, 543, 3483, 540, 519, 1957, 1510, 3100, 532, 269, 13823, 2388, 267, 1560, 9433, 267, 543, 8753, 585, 606, 4661, 1957, 519, 1739, 6810, 7291, 519, 3622, 7608, 2497, 585, 606, 4081, 4661, 1957, 269, 6787, 596, 616, 1603, 827, 513, 3209, 267, 2110, 1650, 267, 6648, 610, 1404, 267, 519, 3932, 547, 707, 5339, 2079, 1557, 2115, 547, 1921, 707, 5098, 3948, 547, 519, 1439, 540, 269, 11150, 585, 1603, 513, 3932, 8753, 616, 1419, 519, 1034, 2352, 851, 540, 606, 1557, 547, 2328, 267, 543, 1082, 5830, 1745, 602, 789, 723, 4986, 2451, 547, 2161, 269, 1323, 875, 6644, 1557, 585, 2328, 5037, 513, 547, 3932, 519, 16080, 11107, 1557, 10530, 3318, 13558, 6345, 1557, 795, 659, 984, 563, 1692, 547, 2328, 513, 1434, 3932, 585, 513, 2856, 540, 513, 1382, 1957, 3932, 476, 1015, 16832, 2228, 2645, 585, 1557, 1603, 875, 547, 2328, 513, 1560, 269, 5675, 513, 1434, 3932, 5037, 1129, 909, 585, 2901, 938, 1647, 1153, 1557, 1603, 610, 1164, 1153, 1557, 1603, 1576, 585, 476, 272, 6823, 268, 272, 5583, 269, 1548, 568, 519, 1034, 4101, 851, 540, 1557, 1603, 930, 2012, 519, 1184, 540, 5098, 27792, 267, 1866, 2446, 1557, 29945, 543, 1603, 606, 7291, 267, 855, 938, 5467, 269, 5675, 606, 12819, 1557, 3340, 596, 547, 9718, 513, 2990, 585, 799, 972, 568, 811, 982, 835, 2427, 547, 2328, 606, 12819, 1557, 267, 946, 5013, 267, 7194, 563, 15124, 4015, 540, 1957, 1603, 10274, 543, 1863, 5439, 2307, 938, 4966, 547, 1205, 1603, 948, 10505, 707, 1557, 585, 2079, 269, 21261, 894, 1557, 1383, 3932, 267, 707, 4661, 3594, 666, 2097, 1265, 1434, 3446, 952, 621, 547, 519, 3932, 786, 1118, 606, 12819, 610, 1360, 2489, 547, 2087, 269, 589, 10388, 1557, 267, 849, 1634, 607, 606, 12819, 1557, 267, 568, 835, 602, 3340, 513, 2875, 547, 8495, 513, 1888, 543, 8044, 513, 21169, 2852, 7400, 10388, 3594, 563, 1692, 547, 2328, 606, 1557, 3932, 10416, 267, 1603, 513, 3932, 585, 707, 1557, 568, 899, 28388, 519, 1292, 2798, 596, 5941, 538, 519, 1560, 9433, 269, 1215, 547, 1439, 606, 1557, 519, 3932, 568, 606, 1419, 27492, 331, 10541, 267, 855, 1869, 4105, 267, 851, 540, 1022, 1557, 621, 13218, 3388, 1927, 543, 6799, 707, 1557, 607, 513, 25509, 563, 10673, 1405, 917, 875, 547, 1711, 513, 7415, 3932, 585, 707, 1557, 267, 865, 16764, 729, 24330, 649, 2811, 1934, 547, 2491, 596, 875, 547, 2328, 1557, 3932, 269, 2659, 1557, 19330, 1152, 1079, 9433, 1631, 281, 519, 4367, 543, 519, 3932, 891, 9433, 786, 2285, 519, 5467, 513, 1448, 540, 7127, 547, 543, 513, 1448, 540, 14827, 689, 707, 269, 901, 3391, 786, 948, 596, 4020, 707, 1557, 3932, 621, 786, 1397, 596, 875, 547, 1439, 707, 1557, 538, 513, 2178, 267, 20310, 267, 543, 8903, 1259, 585, 519, 5467, 269, 1403, 519, 4367, 11887, 875, 707, 5467, 786, 9305, 547, 707, 3390, 267, 543, 519, 1560, 11887, 875, 20582, 521, 270, 515, 14659, 707, 4661, 568, 267, 519, 3932, 568, 563, 1692, 547, 2328, 513, 3932, 5037, 585, 606, 1557, 8840, 621, 1524, 883, 2241, 2694, 543, 3246, 1806, 581, 2386, 547, 2638, 856, 519, 13959, 3381, 281, 875, 269, 634, 3932, 540, 606, 1557, 568, 1141, 596, 1590, 1118, 707, 3803, 4661, 2312, 1082, 1053, 6560, 547, 2328, 741, 3932, 1317, 789, 1810, 1405, 917, 1018, 269, 901, 30453, 786, 2491, 519, 3252, 540, 8753, 267, 2709, 2994, 585, 1603, 2500, 3283, 267, 948, 596, 6218, 31585, 267, 543, 2303, 1018, 547, 2057, 563, 8196, 713, 1592, 540, 476, 736, 1557, 3932, 1806, 602, 6227, 513, 2039, 540, 3584, 543, 1557, 12043, 607, 513, 19480, 6149, 547, 8300, 543, 1217, 707, 1378, 1603, 269, 901, 1557, 3932, 5850, 2982, 596, 1141, 547, 2322, 707, 6644, 267, 1018, 547, 1331, 267, 1806, 540, 1434, 8753, 267, 543, 7899, 540, 4388, 547, 2087, 3533, 269, 1215, 547, 2328, 513, 8808, 1557, 596, 616, 4440, 11842, 1946, 513, 12016, 786, 581, 2838, 547, 2328, 3594, 1018, 547, 2328, 538, 519, 3932, 269, 769, 713, 3992, 267, 596, 786, 1451, 547, 8908, 513, 3932, 602, 786, 4734, 707, 5467, 3206, 676, 1964, 908, 707, 5098, 543, 4758, 513, 5418, 320, 585, 2962, 269, 13028, 875, 547, 2328, 513, 20740, 1557, 3932, 543, 1451, 4388, 543, 15361, 593, 875, 593, 875, 547, 2328, 1945, 602, 568, 26374, 543, 6209, 1451, 811, 269, 5131, 4388, 593, 3268, 538, 1603, 519, 1557, 281, 3932, 269, 1215, 1775, 1336, 519, 1655, 2069, 3028, 8502, 547, 2328, 1250, 1557, 2228, 585, 803, 267, 543, 1946, 789, 2490, 856, 547, 581, 519, 1655, 585, 803, 593, 1353, 321, 599, 269, 0, 2304, 2079, 540, 695, 6731, 4100, 32333, 454, 20225, 541, 908, 7907, 1455, 547, 835, 1412, 3553, 262, 610, 1412, 6943, 262, 540, 12335, 781, 4249, 799, 616, 711, 1455, 547, 519, 4249, 607, 513, 2898, 568, 513, 2352, 4305, 281, 621, 1131, 1100, 8969, 581, 2009, 547, 1265, 2963, 540, 1022, 4183, 796, 1746, 1412, 1492, 32333, 262, 1369, 1022, 540, 12335, 781, 4249, 267, 952, 835, 6743, 2182, 2614, 713, 568, 711, 269, 8080, 782, 519, 5067, 26506, 616, 3177, 1934, 267, 609, 10855, 16555, 7923, 547, 1142, 835, 267, 4758, 3137, 540, 2352, 543, 14542, 1913, 543, 2453, 267, 543, 609, 513, 2407, 2079, 540, 1022, 2027, 2042, 540, 7664, 799, 8451, 269, 3004, 3022, 344, 538, 16664, 267, 1863, 1353, 10274, 543, 1433, 4967, 1519, 3102, 3184, 2079, 267, 2347, 5758, 2079, 267, 2278, 12092, 1344, 267, 1915, 12632, 267, 6249, 2079, 267, 14165, 2079, 267, 543, 1283, 4557, 10530, 593, 5929, 3332, 269, 9956, 568, 5310, 1034, 4583, 585, 1010, 32333, 1082, 1256, 2015, 18296, 547, 581, 519, 1655, 1404, 2479, 2854, 1451, 827, 519, 1455, 2934, 540, 12335, 781, 32333, 543, 1265, 24096, 543, 2079, 585, 519, 4249, 538, 713, 4015, 269, 30777, 1315, 2079, 1315, 9135, 2079, 1315, 12335, 534, 32333, 2141, 1439, 538, 2669, 855, 609, 930, 9153, 540, 15364, 281, 711, 782, 32333, 1439, 538, 2669, 267, 855, 782, 540, 12335, 781, 32333, 798, 676, 519, 942, 649, 3914, 519, 1439, 540, 519, 1404, 563, 19365, 12335, 630, 321, 2194, 1242, 593, 32414, 476, 2918, 267, 476, 14444, 275, 910, 32414, 476, 2537, 267, 476, 14065, 277, 264, 32333, 267, 635, 12203, 543, 13249, 558, 12203, 2038, 1568, 281, 12583, 543, 635, 12203, 609, 519, 9868, 540, 519, 13249, 2648, 1650, 21604, 543, 20246, 267, 13275, 12335, 781, 1101, 4249, 941, 6140, 12583, 269, 2290, 540, 519, 10770, 3584, 540, 1719, 538, 519, 2361, 540, 12335, 2090, 568, 602, 799, 15109, 519, 1585, 5107, 602, 2021, 1404, 538, 519, 536, 731, 781, 635, 12203, 543, 32333, 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 ]
[ 543, 10341, 563, 763, 1867, 12857, 513, 3209, 30953, 585, 3039, 6009, 1759, 593, 2185, 22225, 281, 11378, 267, 17016, 267, 3157, 267, 543, 2816, 2298, 269, 901, 30953, 6663, 547, 1683, 513, 4052, 5943, 585, 12570, 543, 9236, 2013, 2090, 267, 5885, 13422, 1136, 538, 713, 1858, 269, 5015, 267, 519, 1867, 8711, 2487, 2994, 543, 4507, 267, 1312, 693, 519, 9167, 543, 3084, 2157, 267, 2519, 593, 5578, 1646, 585, 519, 3039, 5912, 543, 5466, 1514, 3344, 547, 2149, 7925, 2516, 269, 898, 5267, 602, 513, 811, 7471, 1935, 267, 6236, 519, 2825, 1764, 540, 960, 3157, 267, 17016, 267, 543, 3761, 5832, 11378, 267, 568, 1898, 585, 5009, 3039, 2816, 5137, 1247, 943, 2084, 856, 6960, 6009, 563, 1103, 519, 661, 6652, 16443, 266, 19396, 11202, 1811, 1788, 267, 538, 799, 623, 517, 1399, 323, 903, 7666, 568, 513, 1496, 4820, 1676, 267, 649, 616, 12394, 547, 3142, 1927, 1114, 1239, 2959, 3384, 513, 667, 1662, 4580, 609, 10116, 569, 23267, 10369, 6176, 585, 1614, 1114, 4525, 267, 11444, 547, 2069, 543, 2866, 538, 19007, 267, 519, 21094, 543, 9869, 20890, 5823, 543, 7956, 3796, 269, 634, 667, 1662, 4580, 786, 849, 1683, 3877, 540, 4143, 2866, 3255, 543, 267, 1141, 4143, 786, 2697, 5682, 10341, 269, 898, 568, 12479, 649, 666, 1020, 1732, 3095, 1137, 1063, 1983, 3747, 543, 2069, 543, 2866, 3255, 585, 1312, 1346, 5275, 3355, 543, 11173, 2069, 543, 2866, 267, 1346, 5275, 1007, 6009, 543, 2069, 543, 2866, 693, 513, 6237, 1377, 563, 8253, 1175, 519, 5682, 21846, 855, 849, 519, 4028, 2242, 547, 11668, 6990, 998, 519, 4367, 540, 14464, 11106, 267, 2154, 513, 5488, 543, 1732, 7471, 1935, 269, 1284, 4126, 519, 19396, 11202, 1811, 5741, 666, 948, 713, 1646, 269, 0, 20062, 2969, 4959, 23285, 888, 268, 23285, 568, 513, 7746, 20933, 7097, 532, 1893, 1031, 585, 1357, 1646, 267, 3850, 519, 5137, 540, 6422, 1357, 3817, 563, 268, 898, 6087, 32750, 540, 23285, 3009, 1369, 14103, 610, 824, 3561, 2010, 267, 14123, 519, 5108, 540, 6422, 1543, 1759, 593, 3593, 3403, 543, 6538, 4205, 563, 268, 23285, 814, 7347, 1489, 585, 6538, 5610, 267, 1818, 621, 513, 2442, 3903, 585, 3384, 6538, 12454, 7270, 543, 3156, 563, 268, 634, 23285, 2146, 568, 5318, 543, 3742, 267, 3246, 513, 5763, 540, 2200, 267, 12319, 267, 543, 2146, 1489, 585, 1565, 543, 30076, 23285, 1646, 563, 27516, 5508, 23285, 454, 268, 23285, 568, 1031, 585, 7746, 20933, 7097, 532, 267, 3850, 6422, 5108, 540, 1357, 1543, 563, 268, 898, 568, 4922, 6964, 538, 1357, 3498, 1646, 267, 5356, 10850, 543, 8021, 585, 3608, 8193, 563, 268, 23285, 7060, 2442, 1543, 2359, 1949, 630, 290, 5960, 264, 899, 31964, 543, 808, 7112, 5055, 267, 14123, 2653, 3896, 2359, 563, 268, 661, 19645, 3435, 7048, 593, 23285, 585, 2870, 2228, 8637, 609, 2934, 971, 607, 10918, 7047, 338, 543, 5150, 8569, 10766, 1811, 563, 268, 23285, 568, 8246, 538, 16286, 1646, 267, 7175, 2792, 543, 1239, 5385, 1063, 1114, 1949, 563, 268, 16710, 11060, 7097, 532, 538, 23285, 2636, 12957, 540, 4247, 543, 1062, 7245, 563, 20062, 2969, 25758, 5990, 30264, 2969, 7838, 2464, 5508, 23285, 888, 26594, 543, 14168, 547, 6258, 1107, 23285, 814, 513, 16105, 602, 568, 2147, 547, 595, 543, 824, 5752, 4654, 267, 1818, 621, 5266, 2653, 585, 14987, 547, 9787, 269, 898, 814, 513, 13719, 1565, 7455, 267, 3850, 9367, 547, 3533, 1376, 2679, 1357, 3156, 563, 306, 13996, 4149, 728, 14644, 532, 1107, 23285, 568, 4481, 2966, 585, 7746, 20933, 7097, 532, 267, 3850, 9367, 547, 14892, 3009, 593, 519, 7746, 1354, 11488, 519, 9268, 1543, 547, 519, 7817, 779, 11422, 269, 901, 6087, 6422, 5108, 540, 1357, 3817, 1759, 593, 1585, 2188, 971, 607, 3593, 3403, 267, 6538, 4205, 267, 543, 5007, 16286, 7125, 563, 15761, 2400, 18482, 8081, 1107, 23285, 2488, 7347, 1489, 585, 15025, 609, 12240, 269, 898, 3091, 3710, 2987, 3252, 543, 24909, 585, 8220, 547, 1585, 6538, 1949, 267, 22589, 14511, 267, 10099, 4221, 543, 22392, 1239, 267, 543, 5883, 8852, 269, 901, 2306, 23285, 513, 5078, 3903, 585, 3384, 6538, 12454, 3156, 563, 15899, 268, 5522, 520, 845, 3281, 520, 2225, 1107, 23285, 568, 513, 3444, 13807, 520, 845, 1893, 267, 15095, 609, 2101, 5665, 1949, 971, 607, 8837, 267, 5672, 5308, 267, 12380, 267, 543, 1133, 1460, 269, 901, 2636, 9367, 547, 1628, 543, 11766, 23285, 3156, 593, 1114, 5867, 1510, 1713, 12381, 563, 289, 5802, 5680, 18218, 8081, 1107, 23285, 568, 6462, 676, 513, 2647, 2039, 540, 1357, 13763, 267, 1519, 28833, 267, 715, 6265, 343, 267, 543, 9786, 594, 3041, 269, 901, 17545, 5849, 602, 23285, 3156, 666, 2196, 593, 1114, 1357, 7746, 5054, 267, 3246, 8112, 543, 3681, 585, 17293, 563, 268, 14066, 9208, 7732, 1107, 23285, 2501, 609, 513, 3102, 3044, 5399, 602, 2882, 513, 2647, 2039, 540, 3252, 543, 13838, 269, 1452, 3710, 2987, 3252, 14458, 1455, 4247, 971, 607, 5569, 12879, 267, 3758, 7829, 267, 2834, 7215, 267, 543, 4266, 270, 5503, 4238, 267, 7393, 17354, 7607, 563, 15578, 645, 2894, 9128, 3951, 306, 5508, 19845, 27073, 5058, 9215, 2910, 14701, 23166, 23285, 454, 309, 619, 12546, 543, 22453, 22685, 5406, 1107, 23285, 568, 835, 540, 519, 1034, 4922, 1031, 5752, 4654, 585, 1357, 1646, 269, 1635, 1565, 23285, 267, 596, 2744, 513, 11684, 1983, 564, 602, 2636, 596, 547, 1628, 6422, 7270, 267, 1357, 3156, 267, 1543, 2359, 1949, 630, 290, 5960, 1070, 552, 19645, 5867, 267, 543, 811, 269, 634, 3376, 10073, 540, 23285, 1797, 972, 568, 513, 1164, 3747, 585, 23285, 9367, 538, 519, 2816, 2344, 563, 15761, 2400, 11657, 566, 543, 7991, 8081, 1107, 23285, 2640, 689, 513, 1804, 543, 3742, 2146, 540, 9367, 269, 901, 7524, 2146, 8309, 547, 3573, 12319, 267, 18862, 267, 15473, 267, 543, 2228, 2200, 267, 1818, 621, 4443, 547, 1451, 543, 1265, 1489, 950, 6849, 2591, 269, 634, 5763, 540, 1702, 3838, 676, 519, 2146, 2488, 5571, 1565, 3255, 543, 11942, 5698, 563, 291, 520, 15390, 16949, 543, 25674, 5680, 12474, 1107, 23285, 608, 26118, 538, 15025, 609, 12240, 267, 7175, 9367, 547, 3362, 1921, 547, 1585, 6538, 1949, 267, 14892, 14511, 267, 543, 6023, 1239, 12879, 269, 4804, 23285, 16877, 596, 547, 1711, 6422, 1357, 1543, 676, 4393, 3593, 3403, 267, 13098, 1324, 1239, 689, 12240, 267, 543, 10451, 16419, 6114, 269, 901, 12588, 568, 2629, 585, 2679, 7317, 543, 1239, 12454, 7270, 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 ]
[ 6178, 5455, 269, 8281, 5131, 7300, 563, 7197, 8281, 539, 4139, 4750, 540, 14333, 543, 7136, 18734, 15080, 454, 11795, 4288, 3002, 4483, 568, 1813, 547, 4351, 7636, 5163, 269, 27199, 321, 1681, 6675, 1847, 14477, 543, 4483, 1648, 1063, 835, 1776, 910, 2705, 972, 568, 1100, 13557, 5163, 269, 24658, 3002, 4483, 267, 593, 519, 824, 1688, 267, 568, 519, 3560, 540, 3002, 1648, 676, 13590, 6329, 269, 2353, 4703, 12520, 8143, 5982, 563, 763, 645, 754, 14333, 18734, 2203, 3096, 606, 10686, 1227, 6508, 3830, 585, 519, 9819, 540, 519, 3002, 4483, 11664, 513, 538, 536, 1742, 1547, 634, 2203, 568, 10858, 585, 835, 543, 1079, 5123, 8928, 269, 769, 519, 2013, 540, 519, 5714, 1373, 538, 1106, 540, 513, 5277, 610, 3154, 267, 519, 8143, 19428, 543, 17453, 8006, 616, 1031, 547, 5173, 519, 12768, 21063, 3002, 4483, 11664, 1210, 519, 4542, 15545, 769, 519, 2013, 602, 519, 5714, 568, 18493, 908, 20961, 543, 7873, 14819, 20961, 519, 1894, 585, 519, 9819, 540, 519, 1079, 25686, 12768, 21063, 3002, 4483, 11664, 616, 1031, 269, 634, 3002, 4483, 11664, 513, 9149, 336, 570, 568, 7229, 607, 952, 1152, 15459, 5277, 8928, 609, 519, 2347, 2527, 2095, 2557, 998, 519, 10612, 269, 0, 1692, 547, 5681, 3405, 1125, 267, 3474, 7469, 19189, 267, 543, 2372, 1774, 689, 17796, 1215, 547, 5681, 3405, 1125, 267, 3474, 7469, 19189, 267, 543, 2372, 1774, 689, 17796, 269, 1306, 596, 2697, 543, 6218, 1382, 2959, 267, 596, 1590, 1118, 4977, 4967, 540, 1344, 596, 1589, 1522, 581, 3730, 538, 707, 1557, 269, 1703, 616, 1082, 2081, 547, 1491, 4967, 31539, 795, 31857, 1524, 2582, 1913, 610, 2453, 547, 2584, 665, 641, 3539, 3003, 4930, 269, 1215, 547, 2422, 6034, 30365, 538, 10749, 1923, 4400, 3427, 5675, 3657, 707, 1164, 30595, 4712, 585, 2852, 7400, 1603, 27085, 2290, 1449, 568, 2436, 789, 917, 875, 547, 946, 1463, 10530, 538, 3594, 543, 2165, 4574, 269, 594, 6415, 711, 6158, 827, 19184, 532, 835, 610, 1079, 936, 4310, 267, 3504, 605, 18690, 610, 513, 19309, 8675, 4214, 538, 519, 25644, 5037, 269, 1403, 596, 616, 1603, 606, 1557, 798, 596, 896, 1467, 267, 946, 19722, 3267, 5192, 606, 2626, 585, 1412, 2252, 596, 616, 1603, 606, 1557, 798, 596, 896, 1467, 267, 946, 19722, 7436, 610, 24495, 545, 1125, 519, 1433, 2140, 286, 262, 543, 1265, 6780, 948, 585, 824, 4828, 6997, 2055, 693, 552, 24687, 25315, 956, 281, 1879, 547, 32228, 545, 1125, 267, 7201, 1467, 267, 610, 2422, 2372, 21320, 29485, 4429, 1692, 547, 18419, 513, 2985, 1107, 547, 2307, 585, 606, 2376, 547, 581, 25216, 1317, 1152, 16984, 666, 18419, 873, 269, 8074, 602, 9427, 782, 1257, 689, 513, 2985, 1281, 711, 18419, 621, 267, 621, 1175, 3762, 513, 10145, 2985, 267, 799, 568, 27209, 563, 16524, 24185, 269, 1280, 24185, 602, 616, 811, 982, 2185, 3515, 540, 18340, 610, 1614, 3515, 540, 14235, 267, 1747, 24185, 538, 513, 1863, 29280, 3625, 540, 1257, 543, 522, 2466, 19722, 7436, 269, 3399, 519, 19722, 593, 513, 1007, 1899, 267, 609, 519, 3003, 10839, 967, 5034, 476, 16006, 10759, 689, 519, 2451, 14345, 282, 2226, 5595, 17898, 5217, 269, 1215, 547, 10925, 513, 2372, 1774, 538, 2659, 4828, 6145, 513, 1160, 1107, 918, 756, 514, 18248, 1215, 547, 10925, 513, 2372, 1774, 538, 2659, 4828, 6145, 513, 1160, 17785, 1948, 272, 281, 7994, 10530, 20617, 269, 17610, 267, 621, 779, 513, 646, 1188, 540, 513, 2603, 18334, 547, 7485, 1022, 4351, 10839, 1862, 17785, 1948, 273, 281, 2422, 5365, 2453, 269, 2290, 4640, 596, 1522, 2015, 950, 4946, 10530, 538, 707, 1957, 568, 1862, 17785, 1948, 274, 281, 1530, 600, 8393, 11753, 10530, 269, 6271, 4640, 596, 3267, 2372, 582, 725, 910, 634, 5675, 4741, 3371, 616, 513, 1906, 2489, 4388, 585, 4259, 1055, 707, 3625, 24185, 281, 5590, 909, 513, 3625, 19722, 609, 707, 1378, 1913, 4553, 676, 513, 3935, 269, 1473, 550, 269, 1411, 7363, 25034, 476, 275, 268, 276, 5624, 585, 519, 1376, 540, 513, 5037, 269, 1879, 4259, 909, 513, 3625, 19722, 267, 25034, 519, 3003, 5037, 2899, 689, 519, 2451, 11804, 14345, 269, 1215, 547, 2372, 1774, 543, 25737, 513, 7313, 655, 538, 606, 4828, 4635, 17090, 14474, 3487, 476, 272, 2372, 7627, 689, 31888, 538, 606, 4828, 476, 272, 269, 24269, 596, 10839, 513, 8360, 610, 10210, 606, 2856, 267, 946, 14327, 269, 476, 273, 269, 9255, 519, 10643, 540, 9954, 538, 19722, 7436, 950, 1603, 873, 538, 513, 4845, 269, 476, 274, 269, 7392, 2110, 24185, 540, 1614, 3515, 610, 1447, 538, 519, 1257, 540, 707, 1557, 269, 476, 275, 269, 1473, 550, 24185, 540, 2185, 610, 811, 4429, 2237, 1250, 4828, 910, 9796, 1299, 5192, 4400, 10866, 7433, 5675, 7896, 454, 13625, 9669, 281, 1215, 547, 2372, 1774, 538, 14905, 454, 16524, 518, 2372, 582, 725, 269, 1403, 707, 19722, 5161, 540, 2185, 610, 811, 3515, 610, 18340, 610, 6965, 267, 1246, 519, 4808, 2630, 281, 9484, 26147, 519, 19722, 689, 519, 1292, 1257, 540, 707, 1557, 676, 25034, 532, 621, 269, 1411, 949, 2582, 2230, 519, 19722, 267, 855, 798, 711, 8998, 519, 1257, 543, 798, 711, 1689, 519, 13944, 563, 1692, 547, 2372, 1774, 25126, 538, 606, 4828, 4635, 1463, 14327, 538, 707, 4081, 1957, 568, 519, 1655, 1259, 540, 6086, 11868, 707, 4555, 609, 4396, 6169, 543, 7393, 519, 17258, 540, 707, 7440, 269, 769, 1840, 547, 602, 267, 10530, 616, 849, 1360, 3730, 585, 18445, 519, 1641, 610, 519, 5098, 540, 707, 1557, 269, 4635, 2372, 582, 725, 538, 10749, 910, 513, 6651, 910, 2219, 1723, 2593, 2372, 582, 725, 1058, 1039, 1764, 547, 519, 1557, 543, 711, 21102, 519, 1397, 269, 1403, 707, 19722, 814, 811, 24362, 982, 707, 1557, 267, 1287, 1945, 568, 12517, 4636, 269, 2659, 1557, 1058, 581, 2111, 547, 1796, 593, 922, 1378, 7953, 282, 519, 19722, 1058, 8806, 1118, 713, 1796, 6793, 269, 1215, 547, 25737, 543, 14474, 513, 2372, 1774, 547, 2422, 538, 606, 4828, 910, 6755, 1299, 22087, 3503, 519, 10839, 1369, 19722, 7436, 269, 1403, 596, 616, 844, 7627, 2576, 3116, 267, 596, 1590, 2328, 621, 7157, 2262, 585, 2262, 269, 9255, 519, 2278, 781, 2012, 693, 519, 1439, 540, 519, 10839, 4553, 676, 513, 26893, 4553, 676, 519, 4266, 543, 519, 2985, 1297, 540, 519, 8313, 4534, 3295, 782, 713, 609, 23049, 269, 2372, 582, 725, 910, 634, 5675, 4741, 454, 1692, 547, 2422, 30365, 538, 10749, 543, 4325, 16696, 910, 2659, 291, 5315, 454, 19522, 281, 1215, 547, 10925, 30365, 538, 606, 4828, 910, 5164, 531, 681, 836, 1879, 606, 1557, 814, 1932, 1082, 10530, 267, 621, 666, 1413, 899, 519, 2278, 3085, 1406, 917, 1018, 646, 610, 1352, 568, 6158, 827, 269, 2201, 519, 824, 1688, 267, 606, 1557, 602, 814, 1932, 1906, 24185, 666, 3100, 2262, 344, 610, 899, 519, 2278, 3085, 1406, 1616, 547, 2285, 519, 30425, 547, 4896, 3116, 269, 1306, 513, 2489, 4341, 540, 14853, 267, 19722, 1058, 1118, 909, 1100, 811, 982, 476, 1015, 268, 1428, 260, 540, 606, 1557, 779, 1257, 563, 308, 4513, 540, 2372, 21320, 29485, 538, 2296, 5675, 910, 4460, 898, 5455, 2060, 3267, 476, 1556, 269, 1684, 711, 946, 19722, 7436, 609, 513, 2262, 3274, 547, 1289, 3007, 547, 621, 610, 2769, 26878, 11047, 269, 3143, 281, 2701, 729, 834, 854, 257, 20938, 609, 519, 1053, 262, 9344, 269, 476, 1321, 269, 1684, 711, 11700, 846, 610, 946, 19722, 7436, 609, 10643, 540, 1153, 3594, 610, 4081, 4574, 538, 19722, 7436, 267, 8259, 789, 1331, 1776, 2140, 602, 1281, 2154, 19722, 7436, 269, 1215, 1684, 1411, 3503, 589, 2372, 1774, 769, 1323, 4828, 910, 521, 274, 269, 600, 7571, 9155, 2593, 0, 5522, 11691, 609, 513, 2462, 3625, 540, 4672, 666, 1832, 707, 1126, 5461, 585, 513, 1279, 942, 563, 7476, 513, 1804, 8708, 899, 513, 5068, 16935, 543, 6445, 621, 1614, 20453, 2407, 540, 1216, 269, 5131, 2763, 621, 585, 827, 476, 1321, 3108, 269, 634, 1985, 1554, 1491, 519, 4672, 856, 540, 519, 8708, 543, 2322, 621, 3544, 593, 9160, 267, 519, 16064, 610, 519, 15989, 269, 12315, 707, 1126, 930, 2645, 547, 946, 609, 519, 3625, 269, 1411, 1223, 946, 513, 28750, 267, 513, 23643, 267, 513, 7423, 30893, 1057, 267, 610, 1256, 930, 11680, 547, 13248, 1216, 936, 519, 3625, 2507, 946, 707, 9345, 256, 4634, 513, 11442, 17200, 543, 669, 529, 601, 1131, 581, 1390, 563, 15307, 11582, 267, 16359, 1983, 267, 9046, 6061, 267, 18500, 454, 20055, 707, 1126, 547, 2721, 513, 5577, 2675, 582, 577, 1576, 609, 25879, 593, 9160, 269, 1411, 666, 1118, 519, 1576, 607, 1279, 607, 596, 899, 267, 855, 621, 2356, 814, 827, 476, 279, 610, 476, 1015, 10945, 269, 8571, 513, 1305, 540, 2582, 543, 5595, 10945, 910, 899, 513, 21117, 267, 855, 609, 3063, 11353, 269, 3503, 513, 1297, 593, 1142, 4009, 540, 519, 1576, 563, 4131, 779, 2328, 476, 272, 593, 519, 1101, 4009, 543, 476, 273, 593, 519, 1985, 4009, 269, 1548, 1297, 2501, 1310, 602, 888, 5629, 519, 5577, 2675, 582, 577, 1576, 568, 1305, 909, 596, 2461, 4712, 547, 979, 269, 13185, 827, 519, 3014, 609, 707, 1126, 607, 789, 1404, 563, 2467, 616, 1082, 1114, 2238, 602, 596, 666, 798, 693, 519, 11824, 543, 6158, 547, 707, 1126, 827, 1018, 789, 1131, 899, 547, 798, 786, 948, 596, 547, 6430, 1018, 1826, 540, 11824, 596, 786, 979, 547, 563, 763, 11824, 666, 581, 513, 1360, 21363, 543, 1964, 995, 1747, 1141, 596, 666, 2911, 267, 1224, 267, 1628, 5070, 4751, 956, 543, 9114, 593, 519, 5070, 269, 898, 666, 849, 581, 1360, 3742, 543, 4125, 2469, 585, 1279, 15211, 267, 4881, 267, 4730, 610, 10977, 563, 16987, 2939, 566, 267, 10289, 267, 25732, 267, 12020, 267, 19024, 267, 9046, 6061, 267, 590, 15659, 543, 23454, 267, 32085, 4656, 267, 18500, 454, 7197, 1453, 2648, 547, 4161, 2933, 9308, 543, 2263, 519, 1114, 2081, 789, 666, 1847, 1472, 267, 998, 543, 936, 1114, 3615, 269, 1411, 1522, 1265, 707, 1126, 15055, 547, 2119, 543, 3666, 593, 610, 2059, 3515, 610, 824, 7252, 563, 9202, 942, 596, 616, 3544, 609, 707, 1126, 610, 6972, 12341, 267, 5000, 873, 547, 2119, 513, 3787, 540, 13326, 269, 2052, 789, 3666, 2059, 513, 1899, 593, 519, 3723, 12949, 267, 593, 513, 1970, 15839, 3774, 610, 593, 835, 1850, 888, 289, 27172, 18616, 666, 581, 513, 1187, 2534, 547, 798, 593, 513, 1360, 2842, 344, 1554, 269, 13772, 519, 2842, 6952, 519, 18616, 543, 12740, 873, 1164, 883, 519, 2011, 269, 8347, 543, 3950, 606, 1367, 19389, 269, 1306, 519, 2842, 29598, 519, 19389, 543, 3076, 1206, 621, 2362, 1118, 11236, 607, 547, 875, 1164, 621, 786, 18214, 563, 12663, 621, 18214, 936, 519, 20545, 610, 1256, 936, 519, 8122, 540, 519, 2777, 888, 295, 1245, 543, 1448, 519, 19389, 9514, 518, 8335, 543, 4585, 547, 1294, 952, 519, 18616, 2951, 538, 1114, 8846, 269, 6496, 621, 1118, 513, 3017, 610, 786, 519, 2842, 1869, 6952, 519, 19389, 543, 10581, 621, 3533, 909, 883, 519, 2011, 888, 9288, 20011, 267, 16359, 1983, 267, 10606, 267, 20530, 2109, 267, 32085, 4656, 0, 305, 684, 942, 281, 476, 275, 332, 476, 6321, 338, 1923, 24793, 11261, 281, 5239, 476, 274, 6113, 267, 476, 1001, 275, 454, 1103, 713, 3381, 3992, 649, 2461, 2469, 547, 1865, 513, 30834, 1707, 540, 519, 10116, 4063, 1572, 606, 21632, 4063, 269, 769, 1931, 547, 4628, 1174, 21632, 4967, 596, 1590, 1101, 581, 5432, 609, 2898, 4967, 267, 3368, 4967, 267, 543, 10116, 4967, 269, 1403, 596, 616, 711, 267, 5225, 1491, 519, 942, 547, 2689, 938, 3105, 3381, 593, 11733, 1354, 23312, 563, 2171, 2907, 917, 602, 513, 2898, 4063, 4992, 585, 2185, 20054, 267, 513, 3368, 4063, 4992, 585, 1079, 20054, 267, 543, 513, 10116, 4063, 585, 1152, 835, 10726, 269, 3807, 899, 513, 3368, 4063, 568, 3368, 540, 513, 2898, 4063, 267, 513, 10116, 4063, 568, 3368, 540, 513, 3368, 4063, 267, 538, 519, 1482, 2631, 606, 21632, 4063, 568, 3368, 540, 513, 10116, 4063, 269, 901, 3274, 1797, 602, 1175, 899, 621, 3217, 1079, 3368, 4967, 547, 6445, 519, 1482, 2179, 540, 942, 607, 835, 2898, 4063, 267, 543, 1079, 10116, 4967, 547, 6445, 519, 1482, 2179, 540, 942, 607, 835, 3368, 4063, 267, 621, 786, 1491, 1079, 21632, 4967, 547, 6445, 519, 1482, 2179, 540, 942, 607, 835, 10116 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15018, 856, 780, 274, 269, 8073, 513, 29316, 2261, 514, 1228, 281, 28799, 5820, 971, 607, 14462, 3282, 267, 11993, 10433, 267, 1937, 806, 1562, 10921, 14036, 267, 13342, 267, 13386, 14036, 267, 2699, 9174, 16693, 267, 4144, 329, 517, 28401, 267, 6070, 267, 14723, 267, 543, 6960, 4006, 538, 513, 12826, 269, 17186, 1134, 2394, 782, 3334, 616, 14961, 7856, 780, 275, 269, 16259, 519, 536, 2581, 5779, 585, 2261, 3215, 281, 1403, 1210, 2848, 6545, 267, 1747, 873, 538, 513, 13719, 8670, 610, 13021, 762, 5068, 9126, 269, 1280, 2666, 536, 2581, 267, 1106, 883, 1273, 2906, 1354, 11093, 873, 538, 519, 8708, 269, 32449, 519, 5423, 2261, 514, 1228, 936, 519, 5779, 267, 4180, 1169, 4062, 568, 22862, 269, 1530, 531, 519, 8708, 543, 12104, 4733, 585, 693, 2547, 1079, 3108, 610, 16074, 585, 8476, 10366, 780, 276, 269, 15233, 6299, 338, 585, 3773, 6492, 543, 9403, 281, 2755, 536, 2581, 5779, 1281, 4324, 689, 2261, 1588, 267, 3819, 6299, 338, 849, 1683, 5140, 2164, 269, 17186, 1927, 14546, 899, 13099, 27996, 267, 524, 6058, 267, 1351, 328, 6387, 267, 13342, 8869, 267, 22323, 8869, 267, 12015, 16815, 1889, 267, 3109, 14723, 267, 543, 4262, 6070, 269, 3213, 520, 1312, 5011, 540, 519, 536, 2581, 2848, 752, 610, 1273, 1399, 609, 519, 6299, 7848, 269, 28528, 2046, 1524, 547, 2327, 15984, 780, 277, 269, 17797, 5986, 2409, 9935, 281, 9603, 547, 922, 10709, 1145, 267, 536, 2581, 5779, 29397, 5488, 982, 2757, 14132, 269, 2422, 5420, 3002, 3079, 540, 1164, 950, 8600, 536, 2581, 2848, 6545, 610, 1273, 2906, 269, 3683, 322, 8504, 786, 1267, 538, 3819, 543, 9157, 5779, 269, 11408, 840, 17742, 1236, 4068, 1206, 267, 9065, 839, 267, 610, 1989, 1571, 1991, 547, 4946, 519, 19023, 536, 2581, 5779, 780, 278, 269, 18554, 4835, 5210, 5702, 281, 22982, 513, 1426, 26282, 547, 2638, 4835, 5210, 5781, 269, 17179, 536, 2581, 2848, 6545, 689, 3002, 2899, 789, 3914, 476, 9873, 13790, 910, 476, 9610, 13790, 630, 4364, 1756, 268, 571, 516, 547, 5420, 1040, 16140, 536, 2581, 1273, 2906, 1058, 581, 11273, 547, 476, 8182, 13790, 585, 3106, 5301, 269, 5901, 538, 2247, 602, 15895, 3002, 5170, 547, 6318, 519, 2837, 5594, 1310, 8851, 689, 519, 3002, 2707, 780, 279, 269, 14190, 16889, 942, 2022, 3766, 337, 3739, 610, 3443, 5498, 2130, 281, 2913, 1154, 519, 11273, 536, 2581, 1964, 585, 1896, 3764, 2636, 23238, 547, 23799, 25572, 2429, 519, 5779, 267, 7393, 31926, 543, 7509, 12802, 269, 570, 550, 29101, 609, 11956, 23240, 1247, 7996, 780, 280, 269, 31160, 543, 2972, 281, 2991, 6190, 16889, 942, 267, 20105, 536, 2581, 2848, 6545, 6094, 569, 2066, 519, 10286, 543, 4196, 7258, 4195, 5388, 610, 2898, 9274, 269, 4813, 2666, 536, 2581, 1273, 2906, 883, 32409, 610, 6292, 609, 2427, 8286, 540, 3903, 780, 3528, 1739, 891, 3268, 267, 596, 3513, 1711, 8949, 267, 2635, 6980, 10023, 9985, 11273, 10709, 536, 2581, 5779, 29689, 609, 17175, 10366, 998, 2261, 514, 3547, 543, 6299, 338, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 28494, 675, 267, 519, 3552, 3014, 3884, 1406, 1007, 267, 855, 621, 779, 3478, 513, 2603, 540, 3007, 891, 2395, 269, 645, 2581, 5779, 568, 513, 1796, 719, 267, 609, 11655, 538, 519, 19232, 334, 2146, 9299, 2358, 922, 21644, 563, 2171, 3580, 979, 519, 1318, 1259, 547, 519, 6968, 281, 1703, 616, 513, 2603, 540, 1919, 602, 596, 2648, 6484, 958, 630, 663, 6923, 264, 827, 536, 2581, 5779, 563, 3719, 596, 1810, 1406, 2285, 713, 5779, 513, 4023, 21199, 952, 596, 3434, 621, 1510, 3257, 930, 6780, 563, 7212, 596, 666, 12990, 621, 585, 14132, 538, 10346, 267, 972, 616, 1082, 15361, 585, 5986, 621, 519, 1318, 1259, 563, 2080, 779, 1018, 596, 991, 547, 917, 827, 519, 9422, 9043, 540, 536, 2581, 267, 875, 547, 3434, 713, 10709, 5779, 267, 543, 875, 621, 588, 2931, 909, 1996, 14132, 563, 301, 9173, 543, 2640, 536, 2581, 5779, 454, 3682, 12888, 281, 476, 2420, 10101, 454, 293, 520, 281, 476, 278, 575, 454, 306, 18260, 3170, 281, 476, 274, 10101, 454, 10111, 8510, 6233, 281, 476, 271, 575, 454, 293, 9200, 281, 476, 271, 575, 454, 1692, 547, 3434, 536, 2581, 5779, 454, 2791, 666, 4444, 2848, 6545, 540, 2666, 14132, 610, 536, 2581, 269, 3143, 2339, 799, 3898, 596, 3442, 267, 968, 289, 2581, 2115, 513, 2539, 2837, 543, 3476, 5986, 942, 2223, 646, 3081, 13343, 6519, 267, 28251, 267, 589, 5425, 300, 12327, 6261, 267, 8227, 540, 13343, 6519, 24524, 543, 12594, 2289, 3930, 538, 9098, 563, 2005, 779, 1655, 547, 1832, 621, 540, 3010, 13914, 540, 513, 2140, 585, 513, 14392, 2376, 1369, 519, 6389, 540, 834, 299, 6756, 29133, 3057, 514, 3547, 543, 11676, 338, 257, 607, 851, 540, 834, 23733, 1315, 2657, 1299, 23046, 1315, 8899, 15310, 257, 602, 1223, 581, 1644, 547, 519, 1349, 1657, 269, 3973, 2328, 476, 513, 1279, 543, 1360, 2143, 5850, 827, 519, 2140, 596, 8359, 267, 538, 519, 2511, 540, 15825, 269, 634, 1543, 1058, 723, 519, 1739, 3898, 281, 7170, 23901, 12133, 25776, 21234, 285, 1007, 1899, 2999, 12133, 25996, 25606, 20101, 1684, 711, 1039, 1022, 3063, 1257, 7713, 1946, 596, 8359, 519, 2140, 563, 2521, 547, 1384, 268, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 563, 268, 3550, 9355, 543, 16566, 538, 519, 15825, 5850, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 563, 268, 7994, 513, 13598, 2140, 602, 3085, 1405, 1445, 593, 13061, 1344, 538, 519, 1357, 1349, 269, 0, 22630, 16423, 4427, 14588, 2886, 281, 589, 12213, 667, 633, 883, 519, 25400, 540, 2052, 529, 700, 17670, 692, 296, 269, 4985, 692, 1103, 519, 5318, 13795, 540, 2518, 9265, 267, 1906, 7068, 7001, 938, 7104, 9345, 3833, 899, 519, 18896, 269, 901, 23836, 30085, 23246, 267, 24190, 609, 2215, 531, 19069, 267, 814, 1279, 4371, 513, 588, 528, 1221, 1747, 538, 13299, 543, 2528, 269, 1306, 649, 5490, 883, 519, 4241, 1158, 540, 20384, 267, 621, 3587, 10423, 602, 713, 2249, 568, 2484, 689, 1395, 18070, 282, 2864, 267, 789, 2099, 513, 1950, 5044, 540, 28849, 267, 1142, 19918, 9862, 547, 922, 1604, 269, 2290, 971, 1895, 267, 519, 12457, 18896, 630, 4692, 529, 20461, 1070, 15225, 7415, 4763, 2066, 922, 4591, 541, 8157, 2039, 267, 1519, 1896, 28849, 602, 2899, 887, 3139, 519, 3338, 1631, 1634, 607, 1715, 14948, 780, 2862, 269, 4197, 16423, 12525, 16860, 543, 4427, 14588, 6900, 19032, 692, 2414, 10146, 519, 16082, 540, 12457, 18896, 7449, 701, 857, 566, 267, 835, 1590, 1101, 9787, 4909, 3741, 540, 3454, 21978, 8760, 269, 654, 11510, 4866, 547, 519, 1920, 2052, 13160, 267, 799, 849, 2882, 6469, 5243, 267, 29372, 267, 543, 824, 2249, 540, 3552, 666, 1749, 269, 10738, 713, 1920, 267, 519, 12593, 2052, 529, 13315, 2789, 2249, 540, 20384, 267, 13544, 1023, 267, 543, 31352, 4925, 269, 634, 12457, 18896, 267, 2052, 529, 20461, 267, 13054, 519, 4102, 543, 1034, 7839, 31607, 2249, 1369, 713, 12593, 780, 7021, 942, 267, 3982, 5095, 540, 12457, 20384, 723, 7960, 28836, 7592, 538, 3210, 547, 8795, 2825, 12503, 267, 3056, 547, 519, 6284, 540, 3875, 28849, 269, 1452, 1374, 725, 2992, 3838, 24466, 267, 8965, 267, 543, 4719, 4162, 1851, 32321, 9938, 1493, 18896, 5095, 269, 25408, 267, 2705, 267, 519, 6302, 1063, 891, 6688, 2611, 5714, 543, 29653, 267, 609, 5571, 7521, 4478, 1312, 519, 1297, 543, 14496, 540, 1367, 28849, 780, 7656, 269, 7111, 16423, 7377, 2827, 540, 1715, 14948, 281, 634, 8109, 16423, 692, 8649, 573, 560, 519, 3638, 24463, 540, 3345, 1977, 18896, 28849, 267, 835, 9060, 519, 8109, 18896, 630, 4692, 529, 11430, 8619, 517, 28931, 320, 18105, 4094, 13443, 10578, 543, 11786, 11769, 30939, 513, 1929, 1400, 2230, 1063, 519, 2699, 18896, 630, 4692, 529, 8297, 325, 639, 264, 543, 519, 12457, 18896, 630, 4692, 529, 20461, 1040, 25214, 8151, 689, 519, 4279, 20463, 3148, 7532, 1189, 998, 4516, 781, 16004, 531, 4104, 547, 519, 9533, 5032, 267, 713, 21792, 666, 573, 2899, 20948, 1715, 14948, 781, 3309, 3574, 4133, 543, 19126, 780, 288, 269, 5651, 874, 1670, 543, 18726, 5940, 18728, 692, 292, 6141, 20384, 8858, 13591, 2450, 543, 22623, 658, 7516, 3448, 547, 741, 3677, 12457, 18896, 13413, 543, 4130, 2699, 18896, 10252, 269, 5047, 267, 10058, 10359, 3270, 267, 6353, 676, 4756, 5666, 540, 3109, 9856, 24827, 954, 4944, 619, 539, 609, 989, 719, 328, 2389, 5792, 9663, 267, 1305, 873, 6306, 11617, 269, 2637, 13443, 267, 8109, 20384, 4159, 2189, 24197, 5027, 1899, 1137, 267, 2417, 23243, 873, 689, 824, 2052, 529, 2249, 269, 10765, 22308, 9382, 2303, 602, 8109, 20384, 949, 2099, 513, 5094, 12105, 22871, 267, 9870, 2055, 827, 741, 3454, 21978, 4567, 543, 2078, 547, 1312, 12457, 543, 2699, 20384, 780, 289, 269, 2598, 1952, 30970, 689, 1715, 14948, 692, 306, 611, 569, 267, 899, 1082, 30085, 11975, 267, 8109, 20384, 13151, 3518, 539, 547, 19856, 656, 1480, 1958, 549, 16670, 543, 20655, 2429, 1454, 540, 741, 8978, 2039, 269, 1133, 29970, 10122, 267, 29212, 267, 543, 15464, 11044, 267, 13745, 609, 1804, 8397, 17717, 267, 1232, 13846, 2199, 5095, 269, 1635, 519, 3735, 476, 5197, 271, 338, 267, 8109, 20384, 1185, 8709, 1639, 689, 1715, 14948, 781, 5251, 267, 931, 11220, 547, 3965, 7258, 519, 20424, 7733, 543, 10731, 7320, 602, 2899, 25577, 972, 780, 4353, 269, 22630, 16423, 4427, 14588, 2886, 21661, 3345, 3013, 692, 15987, 8109, 20384, 1100, 3476, 11419, 519, 15113, 543, 17860, 338, 540, 1715, 14948, 267, 16221, 12457, 18896, 28849, 3136, 547, 9468, 1585, 4525, 2066, 3345, 3013, 269, 3962, 2551, 3771, 26092, 2189, 14624, 3358, 547, 922, 1808, 7226, 267, 20515, 519, 9058, 29010, 540, 713, 11684, 2249, 780, 288, 269, 11848, 654, 11510, 630, 4692, 529, 20461, 818, 551, 657, 2020, 28062, 538, 519, 1164, 4234, 6421, 540, 23529, 267, 14522, 267, 4516, 267, 543, 20195, 14901, 267, 11848, 20384, 13423, 558, 1125, 6668, 538, 3665, 5054, 269, 11154, 539, 547, 535, 3419, 573, 5210, 543, 23661, 2200, 267, 891, 25836, 666, 1749, 30107, 23198, 25151, 267, 4389, 1274, 2450, 267, 543, 12012, 10285, 2994, 3379, 547, 741, 7013, 14077, 269, 4256, 1514, 2497, 1419, 25856, 1472, 1507, 267, 9930, 19631, 24502, 21986, 532, 27763, 11182, 538, 3406, 540, 17077, 10352, 780, 289, 269, 11204, 654, 11510, 630, 4692, 529, 20461, 22678, 13704, 328, 2020, 4263, 519, 6587, 1439, 540, 519, 8552, 267, 11204, 20384, 19582, 25545, 3162, 13523, 9249, 15198, 689, 14151, 547, 6792, 269, 4495, 751, 564, 1359, 593, 519, 1490, 1074, 540, 14486, 267, 14021, 6051, 3646, 723, 7930, 32206, 713, 9691, 13155, 1016, 28134, 269, 10886, 1242, 676, 5266, 2110, 7953, 267, 3376, 9843, 267, 543, 10053, 10652, 720, 267, 891, 11527, 5737, 20384, 12013, 1518, 519, 7415, 4763, 7915, 538, 519, 12457, 18896, 2249, 780, 290, 269, 4279, 26111, 654, 11510, 630, 4692, 529, 20461, 562, 889, 559, 639, 2020, 306, 3966, 940, 519, 3844, 1163, 534, 572, 540, 3345, 3013, 267, 4279, 26111, 20384, 13840, 887, 3139, 31922, 8134, 31523, 609, 536, 2581, 543, 824, 796, 326, 12885, 269, 9540, 518, 982, 741, 7187, 30980, 2943, 3677, 982, 8828, 14726, 267, 891, 20384, 10268, 9645, 4307, 28437, 8390, 5532, 547, 6237, 3604, 538, 2916, 267, 27177, 267, 543, 10352, 8244, 269, 3204, 21884, 2406, 267, 899, 865, 1082, 824, 30085, 11975, 267, 789, 8593, 6408, 547, 608, 3410, 1588, 11044, 6322, 693, 7863, 13184, 4690, 780, 309, 269, 11094, 20480, 543, 8892, 19648, 692, 2026, 649, 2263, 519, 9159, 7706, 540, 12457, 18896, 28849, 267, 621, 3587, 7805, 602, 891, 3982, 5095, 15549, 6297, 19642, 543, 7156, 1369, 5726, 10850, 269, 20876, 519, 2189, 10305, 543, 2591, 5185, 676, 1142, 32299, 666, 1217, 2359, 3664, 267, 24772, 30840, 267, 543, 3895, 30398, 9624, 4657, 8916, 780, 11101, 267, 4797, 1382, 883, 519, 10848, 540, 18896, 30953, 543, 1062, 18267, 786, 17216, 6556, 3209, 4030, 267, 17975, 938, 1620, 540, 713, 11599, 2249, 543, 5807, 7071, 585, 519, 18198, 4763, 540, 1272, 593, 3047, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 18896, 267, 513, 3090, 540, 3552, 3013, 267, 814, 513, 1686, 695, 709, 4765, 538, 7793, 1664, 543, 15784, 269, 769, 1715, 14948, 267, 519, 1650, 540, 20384, 18595 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11239, 267, 17096, 267, 8242, 547, 2992, 519, 17090, 18361, 476, 279, 555, 1196, 1421, 596, 961, 2693, 798, 3833, 513, 3787, 540, 1382, 2228, 563, 2252, 596, 723, 7270, 602, 596, 1616, 547, 946, 607, 2959, 585, 707, 1957, 267, 606, 7127, 585, 519, 3896, 1590, 2408, 538, 519, 4704, 1592, 1421, 543, 519, 3718, 24764, 2985, 269, 1215, 547, 1118, 513, 3718, 24764, 2985, 538, 17090, 3898, 1411, 1058, 10839, 513, 4583, 6031, 607, 621, 5526, 538, 513, 3119, 610, 6281, 2707, 543, 1287, 13712, 602, 2707, 269, 2755, 621, 568, 11807, 547, 13712, 513, 4583, 6031, 689, 513, 5680, 3135, 610, 513, 1433, 602, 8638, 4583, 24185, 267, 596, 1331, 606, 703, 2169, 11239, 547, 4063, 621, 269, 17090, 13910, 30047, 2372, 582, 725, 769, 2659, 7956, 4937, 14474, 1323, 17090, 1557, 1058, 581, 29921, 267, 621, 521, 1655, 547, 6338, 610, 13865, 1125, 519, 10839, 269, 5213, 512, 7340, 547, 1331, 2278, 521, 2063, 2012, 543, 2985, 1297, 17090, 610, 2278, 267, 13712, 782, 24185, 267, 3177, 602, 519, 7270, 1031, 616, 5265, 11855, 563, 290, 2787, 540, 3896, 2959, 896, 519, 7073, 5678, 634, 1271, 1448, 538, 19696, 513, 3896, 17090, 568, 519, 1249, 602, 519, 3896, 1058, 581, 6325, 543, 1439, 609, 543, 899, 602, 269, 1677, 13712, 606, 1557, 568, 4440, 519, 1034, 2352, 3364, 689, 519, 1448, 540, 2070, 540, 2511, 782, 891, 5712, 267, 596, 949, 522, 2466, 519, 2278, 1344, 689, 519, 17090, 11239, 585, 519, 3896, 543, 2253, 267, 596, 26270, 2693, 798, 3833, 513, 3787, 540, 1382, 2228, 269, 1403, 596, 723, 7270, 602, 596, 1616, 547, 946, 607, 2959, 585, 707, 1957, 267, 1114, 23935, 666, 29057, 1022, 16805, 2875, 267, 13746, 267, 2489, 3652, 5018, 1657, 616, 1869, 538, 3196, 269, 594, 993, 1603, 513, 1382, 1557, 827, 1946, 519, 16586, 4941, 547, 1205, 7759, 540, 519, 12102, 1004, 543, 594, 993, 711, 2386, 593, 875, 547, 10839, 513, 3896, 5442, 1250, 1557, 256, 22352, 594, 993, 1210, 17090, 3898, 543, 594, 1810, 512, 917, 519, 2278, 585, 1022, 540, 1250, 7270, 563, 272, 1287, 2328, 513, 1560, 5037, 1210, 2110, 543, 1279, 10530, 689, 513, 3209, 610, 2110, 1650, 538, 17090, 2511, 269, 1215, 547, 13712, 513, 19534, 538, 17090, 3898, 19171, 24324, 1310, 519, 2063, 19722, 1665, 610, 4484, 540, 519, 4408, 540, 4589, 3417, 513, 1974, 693, 519, 1439, 540, 1142, 4845, 267, 596, 1590, 1331, 513, 2407, 11239, 593, 707, 1568, 11855, 2985, 267, 596, 2445, 782, 707, 8100, 593, 513, 3718, 24764, 1592, 602, 5526, 1310, 519, 2063, 2985, 540, 707, 1957, 269, 769, 1840, 267, 707, 4305, 568, 547, 1683, 519, 1344, 602, 666, 581, 1336, 593, 519, 3896, 543, 4986, 811, 269, 5213, 512, 7340, 547, 3095, 782, 540, 707, 703, 2169, 14327, 547, 519, 2959, 596, 12398, 593, 519, 2063, 2985, 269, 17090, 7073, 5678, 5948, 2511, 568, 1034, 4122, 1031, 547, 2328, 4574, 543, 13712, 2959, 1369, 519, 12666, 6575, 543, 23408, 563, 1607, 4199, 267, 543, 1022, 824, 2854, 10467, 607, 538, 782, 4081, 960, 267, 513, 2875, 1058, 2446, 7247, 519, 17090, 10839, 12851, 547, 543, 5815, 12905, 10850, 1282, 799, 713, 8360, 729, 1767, 269, 1403, 596, 991, 948, 6220, 707, 2959, 883, 707, 1557, 267, 7270, 798, 711, 1533, 945, 5206, 519, 1344, 593, 519, 2985, 269, 1879, 1100, 2278, 568, 7396, 267, 703, 2169, 14327, 267, 1439, 17084, 20584, 17084, 267, 6451, 621, 2047, 883, 513, 4845, 952, 621, 521, 10156, 982, 476, 275, 29921, 3515, 269, 1280, 1383, 267, 596, 1590, 2697, 476, 1421, 2093, 267, 596, 1331, 606, 703, 2169, 11239, 547, 4063, 621, 269, 9612, 2164, 585, 15986, 10530, 538, 1557, 689, 7270, 694, 541, 343, 10738, 3594, 267, 607, 269, 901, 3381, 786, 948, 596, 1174, 519, 3334, 596, 991, 547, 1413, 585, 547, 723, 513, 2347, 17090, 11239, 585, 2596, 3896, 4930, 269, 476, 272, 23889, 2372, 582, 725, 585, 519, 17090, 14474, 769, 1382, 1957, 1603, 267, 609, 519, 2140, 563, 1692, 547, 13712, 513, 3896, 609, 1100, 2278, 538, 17090, 476, 279, 7170, 540, 5680, 8525, 269, 1215, 547, 25737, 513, 19534, 9349, 534, 9137, 32621, 538, 606, 4828, 5775, 342, 1359, 713, 2243, 267, 950, 596, 10839, 610, 22950, 19189, 513, 2707, 538, 707, 1957, 521, 1257, 267, 946, 513, 3625, 10839, 269, 634, 1259, 596, 13712, 5152, 18405, 786, 4268, 4470, 593, 875, 596, 1569, 873, 543, 875, 1454, 1344, 596, 1331, 538, 519, 1560, 540, 707, 1557, 269, 1323, 17090, 11239, 3896, 568, 12863, 982, 519, 1866, 1317, 621, 3085, 512, 2154, 1932, 1082, 3877, 269, 1879, 596, 2047, 10839, 519, 1568, 540, 1866, 538, 707, 1957, 267, 596, 2445, 782, 707, 8100, 593, 513, 3718, 24764, 1592, 602, 5526, 1310, 519, 2063, 2985, 540, 707, 1957, 269, 769, 1840, 267, 855, 596, 12582, 512, 1175, 12235, 873, 538, 1317, 513, 1382, 1957, 2115, 10530, 269, 5213, 512, 4584, 513, 1906, 4351, 10530, 689, 835, 540, 1346, 10839, 7270, 596, 917, 799, 4609, 594, 544, 6158, 827, 563, 300, 6369, 7073, 5678, 5948, 2511, 568, 1034, 4122, 1031, 547, 2328, 4574, 543, 13712, 2959, 1369, 519, 12666, 6575, 543, 23408, 269, 769, 606, 1557, 593, 4683, 17691, 267, 1697, 11249, 585, 703, 2169, 543, 2834, 14327, 267, 703, 2169, 14327, 267, 543, 1287, 7696, 519, 10839, 269, 1403, 513, 10839, 568, 3476, 982, 476, 275, 29921, 3515, 267, 862, 553, 267, 3967, 29733, 796, 341, 663, 4967, 602, 930, 2043, 1118, 513, 1448, 540, 1565, 1169, 2487, 15555, 528, 610, 9661, 907, 17090, 11239, 3898, 568, 513, 1505, 585, 11249, 707, 1957, 543, 25643, 519, 2959, 540, 1344, 596, 946, 538, 707, 1957, 269, 1879, 1603, 538, 17090, 3898, 267, 519, 1101, 3364, 596, 26270, 991, 547, 3314, 568, 602, 10530, 3112, 1796, 620, 517, 9220, 344, 666, 512, 581, 5116, 538, 513, 4845, 782, 676, 2933, 269, 1411, 991, 547, 1118, 1142, 10839, 513, 851, 540, 707, 1557, 676, 10962, 621, 25656, 543, 6085, 532, 593, 621, 26063, 563, 17457, 5678, 5948, 2511, 2488, 4808, 585, 26159, 782, 519, 2959, 602, 596, 946, 547, 1382, 707, 1957, 1888, 269, 769, 713, 2013, 267, 946, 3625, 10530, 585, 10530, 602, 616, 811, 982, 2185, 3515, 1279, 676, 10962, 519, 10839, 609, 513, 3935, 543, 25034, 532, 519, 3003, 10839, 476, 272, 10759, 689, 519, 2451, 14345, 543, 23574, 547, 519, 1318, 14345, 269, 744, 2466, 519, 19722, 7436, 267, 543, 1806, 540, 14327, 585, 1082, 1114, 2010, 540, 2959, 269, 1403, 596, 556, 1603, 513, 1382, 1957, 267, 19696, 1022, 2707, 538, 606, 1557, 568, 2556, 547, 2097, 689, 519, 4170, 540, 513, 11249, 2511, 2705, 267, 596, 1590, 1331, 513, 2407, 11239, 593, 707, 1568, 11855, 2985, 267, 513, 2140, 2985, 568, 11991, 269, 5502, 267, 596, 1058, 1683, 513, 29156, 335, 3166, 20927, 1677, 2322, 513, 10839, 538, 606, 1557, 267, 1256, 952, 519, 1557, 568, 1134, 25740, 563, 3719, 798, 711, 5855, 649, 13603, 856, 519, 2596, 3652, 543, 4330, 3017, 1063, 971, 1455, 6163, 607, 17090, 543, 14905, 269, 898, 2882, 1344, 1644, 547, 17090, 14327, 267, 596, 786, 3898, 24185, 8335, 4470, 593, 741, 3259, 269, 594, 991, 547, 946, 1699, 17090, 4441, 543, 594, 544, 711, 2386, 945, 519, 2278, 568, 610, 1018, 519, 2985, 1297, 568, 269, 13334, 568, 4742, 606, 11212, 2442, 2707, 585, 7044, 543, 5932, 1880, 2591, 585, 519, 5137, 540, 513, 11239, 585, 513, 1568, 11855, 1592, 1317, 540, 519, 18839, 540, 721, 1716, 1868, 585, 4890, 4408, 269, 10251, 267, 3091, 1806, 585, 519, 2489, 3898, 540, 17090, 1382, 4574, 267, 543, 1747, 519, 11239, 538, 24324, 1310, 519, 1439, 18685, 269, 2422, 513, 3935, 1310, 519, 5365, 8360, 5851, 17090, 1215, 547, 25737, 513, 19534, 538, 17090, 14474, 269, 1403, 596, 616, 899, 1034, 1053, 267, 543, 621, 1058, 581, 1310, 24324, 609, 1100, 5624, 563, 2304, 1898, 12146, 540, 606, 1557, 568, 519, 10035, 540, 2959, 1031, 547, 29289, 519, 1344, 1031, 547, 1711, 519, 5888, 269, 6176, 29742, 539, 689, 519, 5769, 666, 581, 513, 3407, 1840, 547, 707, 2959, 267, 3561, 267, 596, 949, 723, 1382, 4574, 610, 3594, 602, 1152, 723, 2228, 2959, 269, 13527, 2160, 476, 1015, 5729, 1234, 684, 542, 4828, 269, 32653, 5994, 596, 723, 21783, 689, 13527, 2160, 269, 1411, 616, 8600, 547, 7390, 707, 476, 1015, 20204, 22653, 542, 267, 543, 519, 620, 30282, 5604, 814, 4280, 596, 547, 2328, 513, 593, 788, 720, 1557, 827, 707, 2123, 543, 3318, 269, 634, 2278, 540, 713, 1957, 12339, 21442, 6249, 538, 29233, 543, 2776, 9080, 823, 7710, 519, 4008, 2152, 538, 29233, 543, 2776, 9080, 823, 269, 898, 568, 7150, 602, 29233, 543, 2776, 9080, 823, 568, 835, 540, 519, 1034, 18019, 543, 6444, 4773, 540, 2296, 3332, 563, 293, 655, 21442, 7201, 2023, 525, 538, 269, 4828, 1603, 948, 689, 16805, 5830, 7454, 3163, 10749, 5494, 870, 338, 898, 1522, 581, 3730, 547, 917, 602, 649, 557, 3893, 7683, 21130, 593, 8135, 28774, 267, 607, 1134, 607, 10715, 519, 948, 540, 938, 4966, 596, 786, 2760, 991, 547, 5855, 827, 707, 10467, 269, 10374, 32143, 5856, 3182, 584, 1125, 5026, 1523, 5299, 1603, 267, 1557, 3791, 543, 25316, 8140, 476, 1015, 325, 29616, 272, 16643, 1957, 786, 2328, 13907, 1117, 3429, 666, 1205, 269, 535, 1136, 621, 676, 544, 19376, 669, 629, 517, 1557, 2201, 519, 1557, 3296, 267, 1053, 593, 3328, 5340, 1454, 1447, 1134, 982, 593, 519, 269, 1809, 594, 1265, 1082, 1004, 3168, 585, 10372, 585, 741, 11265, 5098, 3584, 936, 519, 4950, 269, 1924, 267, 594, 4941, 547, 1711, 513, 8468, 1141, 649, 782, 666, 3565, 547, 1711, 513, 2462, 1592, 936, 713, 269, 594, 1589, 713, 786, 948, 513, 2603, 540, 1004, 563, 20058, 267, 1004, 269, 2755, 596, 616, 1603, 13773, 5059, 543, 7413, 19240, 269, 3503, 2705, 596, 1745, 1034, 6899, 6748, 513, 4050, 543, 1957, 610, 513, 2780, 269, 2913, 707, 1888, 3391, 707, 2497, 269, 6333, 1519, 606, 2606, 5037, 267, 1614, 5885, 9433, 267, 543, 269, 18238, 14880, 2349, 1515, 476, 1839, 4873, 476, 5002, 274, 476, 2641, 5130, 476, 4198, 271, 267, 1732, 1634, 676, 1010, 4050, 2012, 6723, 2107, 6202, 267, 729, 606, 2296, 29787, 543, 1557, 626, 267, 19784, 543, 10404, 267, 4171, 960, 568, 27537, 676, 561, 16112, 18340, 267, 4656, 540, 1514, 21440, 267, 11685, 547, 563, 9359, 4974, 589, 304, 288, 589, 5426, 10334, 476, 1839, 4460, 10749, 269, 6258, 6863, 267, 2474, 267, 543, 811, 609, 15460, 267, 3756, 267, 543, 824, 1353, 2645, 269, 15486, 540, 8390, 538, 5095, 2725, 22719, 476, 1015, 22436, 540, 8390, 2068, 267, 1426, 11800, 267, 9542, 3503, 606, 269, 9612, 2164, 585, 1557, 518, 561, 684, 22863, 679, 31429, 324, 1086, 565, 694, 541, 343, 4828, 518, 561, 684, 22863, 679, 31429, 324, 1086, 565, 476, 278, 1691, 269, 17397, 593, 5412, 476, 1556, 267, 476, 1001, 279, 693, 10975, 676, 4828, 518, 561, 684, 22863, 679, 31429, 324, 1086, 565, 476, 271, 269, 4828, 518, 561, 684, 22863, 679, 31429, 324, 1086, 565, 476, 278, 1691, 269, 476, 276, 6801, 1759, 593, 476, 8064, 8039, 4828, 269, 4144, 776, 563, 16240, 606, 1557, 666, 581, 513, 18447, 4305, 585, 1312, 3610, 543, 1053, 538, 2474, 540, 2870, 543, 13167, 513, 1164, 2298, 1557, 267, 543, 6368, 11049, 543, 21249, 873, 269, 898, 4667, 1498, 649, 949, 723, 15763, 835, 540, 519, 27162, 4554, 28527, 909, 609, 513, 1434, 1603, 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 ]
[ 543, 19706, 6846, 269, 769, 1880, 267, 1106, 656, 6724, 616, 10355, 6027, 538, 3425, 543, 538, 824, 2831, 630, 9928, 1877, 337, 267, 476, 1220, 274, 282, 808, 639, 4802, 1299, 2480, 1877, 337, 267, 476, 1220, 276, 1040, 11153, 2090, 6700, 602, 713, 1223, 581, 519, 1883, 547, 519, 13047, 15285, 540, 3929, 32447, 630, 9928, 1877, 337, 267, 476, 2735, 277, 282, 14465, 572, 1299, 2480, 1877, 337, 267, 476, 1960, 277, 282, 20613, 541, 4821, 320, 1696, 620, 1421, 476, 1001, 271, 282, 4793, 601, 1696, 620, 1421, 476, 1001, 272, 1040, 18972, 4324, 689, 8476, 5179, 1852, 543, 8112, 540, 519, 13047, 1148, 10306, 2209, 630, 339, 784, 826, 267, 17534, 267, 6063, 636, 267, 10265, 267, 3092, 13776, 3850, 721, 547, 1711, 1114, 3270, 540, 2242, 538, 674, 272, 543, 674, 273, 630, 293, 656, 267, 476, 3422, 271, 1040, 4033, 2249, 540, 11864, 723, 513, 4130, 4110, 540, 8112, 538, 13047, 8778, 3259, 543, 3337, 267, 543, 4061, 1447, 7872, 547, 7369, 1106, 656, 12451, 269, 1717, 267, 8390, 538, 13047, 8778, 3259, 666, 581, 6913, 676, 1585, 6127, 1519, 17534, 10137, 267, 14842, 540, 519, 1377, 540, 17725, 1436, 267, 543, 1034, 4122, 267, 1427, 3555, 540, 519, 561, 28449, 883, 519, 11563, 630, 302, 342, 1066, 267, 1530, 344, 325, 14390, 1299, 4258, 2284, 267, 476, 1960, 278, 282, 674, 3558, 267, 476, 1220, 271, 321, 282, 674, 3558, 1299, 1234, 2421, 267, 476, 1220, 272, 282, 20831, 1696, 620, 1421, 476, 1220, 277, 282, 5062, 292, 961, 580, 2714, 267, 21960, 17243, 1299, 966, 2335, 18223, 267, 476, 1220, 277, 1040, 25824, 2209, 540, 3929, 32447, 1131, 581, 3226, 3730, 585, 12570, 3662, 10304, 630, 300, 14397, 4428, 601, 1696, 620, 1421, 476, 1220, 275, 1040, 1280, 1383, 267, 13047, 10291, 547, 2318, 4664, 1223, 3986, 2318, 10304, 267, 1775, 4318, 269, 3895, 2318, 2833, 538, 27604, 2831, 630, 22517, 1170, 344, 1696, 620, 1421, 476, 1220, 278, 1916, 10932, 593, 13047, 31426, 540, 4664, 2115, 547, 1118, 20501, 10054, 3823, 519, 7553, 15427, 676, 519, 4767, 610, 8097, 3510, 269, 634, 3929, 32447, 543, 26901, 531, 19310, 1243, 676, 519, 3510, 1223, 581, 20240, 1210, 824, 3334, 540, 4664, 267, 899, 12214, 10832, 630, 324, 3052, 269, 23280, 610, 19076, 13824, 2157, 267, 13487, 2534, 282, 1635, 337, 928, 1299, 2672, 23449, 267, 476, 1960, 280, 282, 7439, 29589, 1299, 1715, 2006, 267, 476, 1960, 280, 282, 4728, 656, 1696, 620, 1421, 476, 1220, 272, 282, 590, 11726, 2041, 1696, 620, 1421, 476, 1001, 273, 1040, 769, 2067, 5468, 267, 1896, 24040, 10832, 540, 4664, 666, 581, 1031, 630, 5408, 2480, 515, 327, 6390, 1299, 2098, 20810, 10458, 267, 476, 1220, 280, 282, 2098, 20810, 10458, 267, 476, 1220, 280, 282, 853, 334, 1122, 518, 1696, 620, 1421, 476, 1001, 272, 1040, 5525, 593, 13047, 31426, 540, 26901, 531, 1058, 1445, 593, 13047, 3074, 6592, 1282, 3871, 6353, 676, 1114, 2157, 540, 26901, 531, 543, 513, 2147, 32447, 267, 6466, 2090, 593, 13047, 4082, 540, 32447, 1058, 8495, 13047, 3074, 6592, 1282, 3871, 6353, 676, 6587, 1130, 1878, 630, 27168, 543, 2942, 264, 543, 513, 2147, 26901, 531, 1377, 269, 1879, 2009, 267, 2090, 1058, 1445, 593, 835, 2016, 1826, 540, 13047, 1436, 543, 2268, 922, 8390, 1063, 8658, 267, 3079, 540, 14236, 3604, 1063, 1289, 2010, 3812, 538, 1585, 8658, 269, 7053, 267, 7125, 4268, 2687, 547, 2829, 824, 982, 4664, 267, 971, 607, 8404, 630, 324, 3052, 269, 513, 11437, 267, 16007, 282, 18200, 517, 267, 476, 3192, 278, 282, 4864, 1299, 18722, 267, 476, 2735, 278, 282, 661, 327, 4958, 267, 476, 1220, 277, 1070, 799, 1223, 581, 3144, 883, 2272, 950, 16208, 2796, 5829, 13047, 8390, 267, 538, 519, 1482, 1259, 607, 519, 1494, 1890, 10155, 630, 328, 4318, 269, 1377, 540, 1852, 540, 519, 3510, 264, 1031, 538, 2090, 593, 28146, 5294, 1328, 630, 297, 639, 4802, 1299, 2480, 1877, 337, 267, 476, 1220, 276, 1916, 1607, 2689, 2982, 602, 519, 2333, 538, 13047, 1436, 27160, 2211, 2557, 267, 674, 271, 26048, 267, 674, 271, 2039, 267, 17931, 26048, 267, 1648, 3892, 267, 4908, 8445, 543, 1106, 656, 26048, 543, 519, 6175, 538, 954, 8686, 5914, 1436, 8884, 616, 3226, 1434, 10832, 540, 26901, 531, 269, 1635, 4334, 267, 10832, 540, 32447, 1869, 991, 547, 581, 11567, 269, 769, 3425, 267, 607, 538, 824, 11864, 267, 4082, 543, 8226, 540, 7553, 568, 2629, 547, 10038, 1514, 4205, 269, 589, 17211, 538, 2901, 4082, 610, 8226, 666, 1267, 538, 7096, 22907, 538, 1514, 3347, 630, 289, 778, 528, 22603, 267, 476, 1960, 280, 1040, 634, 2489, 1719, 538, 519, 2361, 540, 3662, 7553, 568, 3395, 3533, 267, 543, 568, 4143, 547, 1896, 10459, 971, 607, 12105, 18186, 1108, 267, 28146, 23798, 267, 13354, 6530, 267, 3662, 10304, 2257, 543, 2618, 2684, 29108, 1108, 630, 300, 754, 331, 1696, 620, 1421, 476, 1001, 271, 1040, 5221, 519, 16148, 5057, 540, 3929, 2833, 616, 711, 2943, 2009, 547, 6961, 610, 2268, 538, 2831, 267, 824, 10832, 616, 2877, 547, 18505, 3929, 2829, 630, 324, 3052, 269, 5778, 31850, 8344, 267, 24040, 543, 5924, 5042, 1040, 769, 1880, 267, 10832, 540, 2318, 4664, 616, 15877, 630, 22517, 1170, 344, 1696, 620, 1421, 476, 1220, 278, 1040, 966, 5914, 10832, 540, 4664, 538, 2831, 1223, 2099, 10375, 543, 1875, 29554, 10832, 267, 799, 1131, 581, 3226, 3730, 547, 2708, 543, 2087, 10304, 630, 2171, 776, 1299, 2605, 6471, 267, 476, 1960, 276, 321, 282, 20242, 1206, 1299, 853, 5622, 4486, 267, 476, 1220, 271, 282, 631, 14397, 4428, 601, 1696, 620, 1421, 476, 1220, 275, 282, 5576, 7238, 333, 267, 28523, 324, 1299, 631, 14397, 4428, 601, 267, 476, 1220, 275, 1040, 28454, 593, 13047, 31426, 540, 4664, 538, 11864, 1223, 849, 4196, 607, 513, 3730, 2203, 585, 2090, 593, 3425, 267, 538, 799, 513, 3152, 5179, 1852, 2164, 538, 1476, 15929, 2188, 12018, 28146, 5294, 1328, 630, 9928, 1877, 337, 1696, 620, 1421, 476, 2735, 275, 282, 2480, 515, 10719, 1299, 17384, 267, 476, 1001, 272, 1916, 296, 993, 18507, 547, 21142, 5062, 292, 961, 580, 2714, 267, 23729, 534, 19785, 2006, 267, 17555, 13177, 543, 606, 20822, 22275, 324, 585, 5363, 8292, 593, 519, 12377, 269, 594, 11760, 519, 2883, 1489, 540, 519, 18230, 2817, 3163, 7690, 543, 519, 18230, 8549, 27259, 8433, 269, 0, 314, 25111, 4287, 281, 7490, 1224, 713, 607, 952, 596, 616, 2542, 547, 513, 1362, 540, 476, 272, 560, 17603, 24358, 5629, 2390, 513, 942, 267, 972, 941, 891, 1919, 1572, 968, 331, 9155, 892, 538, 513, 1747, 1572, 519, 13474, 540, 16572, 269, 1358, 3964, 6302, 593, 1018, 596, 1223, 543, 7948, 1406, 798, 538, 513, 2486, 269, 2368, 4031, 1141, 2241, 630, 3697, 267, 1810, 1406, 5397, 5488, 982, 476, 1839, 18890, 538, 513, 1153, 7997, 1040, 11524, 941, 811, 1950, 563, 1103, 519, 13474, 540, 16572, 930, 3652, 18170, 3527, 602, 1223, 267, 1134, 267, 2800, 1866, 952, 891, 4031, 941, 1098, 326, 5962, 563, 3080, 1554, 267, 513, 812, 945, 5249, 585, 519, 21470, 5518, 540, 713, 2197, 630, 2171, 3580, 1289, 1864, 11066, 968, 306, 1723, 582, 518, 892, 8644, 2421, 1070, 4956, 547, 2736, 513, 1876, 676, 14084, 547, 22602, 827, 17543, 682, 1136, 519, 2012, 540, 513, 31835, 1766, 894, 547, 519, 2046, 563, 28074, 729, 1500, 540, 713, 25213, 267, 543, 1082, 5156, 602, 590, 1723, 582, 518, 1131, 979, 547, 21569, 585, 1010, 3527, 563, 3719, 972, 5030, 538, 519, 13474, 540, 16572, 513, 812, 945, 729, 519, 5518, 267, 543, 646, 1185, 3833, 513, 3787, 540, 1379, 543, 19500, 899, 513, 4622, 2443, 1256, 1498, 646, 7012, 1406, 269, 634, 5518, 2219, 602, 1010, 2828, 4769, 1406, 723, 547, 2661, 676, 519, 4031, 267, 543, 1500, 6266, 540, 6846, 827, 513, 2027, 27972, 752, 1572, 513, 968, 15430, 7808, 623, 30972, 3034, 4415, 513, 5951, 540, 1010, 2027, 4050, 267, 519, 5518, 1223, 4012, 1227, 2981, 1010, 3659, 590, 1723, 582, 518, 689, 513, 7803, 547, 513, 17608, 812, 945, 8149, 1100, 6760, 563, 1432, 786, 4755, 547, 590, 1723, 582, 518, 8695, 543, 6690, 286, 13773, 22934, 256, 0, 763, 8458, 540, 13844, 14848, 540, 6190, 2298, 543, 7274, 547, 1450, 8990, 540, 1614, 8820, 3940, 3889, 1210, 5348, 577, 8527, 1258, 5982, 616, 3648, 2799, 1210, 513, 3575, 540, 11608, 28110, 547, 1114, 16358, 1436, 2553, 563, 6546, 568, 519, 3932, 540, 513, 9584, 1353, 676, 3173, 538, 3567, 267, 3366, 676, 1530, 5942, 27173, 1090, 626, 340, 540, 681, 31082, 2894, 779, 9501, 2590, 268, 279, 4741, 538, 4498, 9874, 267, 5063, 4080, 538, 2920, 320, 24083, 718, 1748, 3821, 630, 272, 1916, 763, 960, 729, 851, 540, 519, 2898, 16052, 1788, 593, 519, 24059, 14562, 16443, 5687, 17232, 639, 670, 289, 279, 630, 8993, 269, 476, 272, 1070, 799, 568, 1336, 6923, 538, 3905, 20950, 693, 5210, 540, 909, 547, 476, 5952, 11019, 290, 269, 634, 2832, 540, 519, 1788, 568, 547, 2333, 1620, 540, 2281, 693, 513, 7636, 1377, 676, 8159, 519, 3889, 543, 3252, 540, 782, 5946, 23876, 676, 6090, 269, 14562, 16443, 729, 6074, 607, 513, 2203, 11248, 1317, 621, 814, 513, 8766, 1305, 540, 6090, 799, 9479, 585, 827, 476, 273, 267, 1822, 5946, 799, 616, 3810, 7123, 585, 2079, 543, 811, 982, 476, 3583, 260, 540, 799, 723, 1480, 5973, 757, 563, 763, 3044, 1797, 540, 8159, 3940, 2497, 267, 1535, 11920, 16358, 2762, 267, 3322, 26936, 3940, 6675, 883, 513, 24775, 540, 18110, 3126, 540, 2048, 22780, 2281, 8730, 543, 1287, 8429, 1535, 17530, 998, 519, 4611, 12627, 269, 634, 2497, 540, 519, 3940, 568, 2048, 338, 9407, 685, 676, 7421, 519, 4611, 32250, 4806, 563, 3719, 5946, 616, 540, 12150, 3337, 543, 519, 3940, 24775, 568, 4371, 1927, 1152, 676, 5266, 4617, 6850, 18878, 4229, 269, 1924, 3940, 14848, 616, 3622, 17866, 543, 3810, 6213, 547, 2825, 2175, 269, 1452, 1590, 581, 14661, 547, 19993, 2157, 585, 16358, 1436, 269, 2311, 1655, 621, 3217, 1896, 3108, 547, 1332, 14848, 5078, 585, 1239, 4015, 267, 855, 3335, 621, 3217, 3275, 269, 4935, 267, 3940, 16358, 1436, 814, 9863, 513, 2101, 4420, 331, 2940, 1188, 538, 519, 2898, 16052, 1788, 563, 1103, 606, 3801, 547, 2333, 4398, 267, 519, 3173, 1031, 476, 1240, 3732, 5946, 689, 14562, 16443, 547, 1449, 519, 7207, 540, 11608, 799, 946, 1114, 2553, 547, 16358, 1125, 5946, 1765, 338, 9231, 1673, 1886, 11517, 18236, 267, 16304, 1673, 1886, 11517, 18236, 543, 513, 9168, 8762, 2255, 4480, 269, 1358, 849, 4693, 539, 513, 2890, 22381, 573, 545, 3926, 2966, 547, 6385, 3313, 519, 1655, 3355, 2175, 267, 855, 799, 1223, 711, 3132, 14848, 538, 1804, 2614, 9424, 585, 32250, 563, 763, 1382, 2319, 1336, 602, 1312, 11517, 18236, 11608, 3812, 32250, 7779, 14848, 18334, 982, 519, 8762, 2255, 8773, 9789, 9361, 1673, 1886, 1373, 519, 5488, 269, 634, 8762, 2255, 8773, 267, 2705, 267, 729, 1034, 2693, 547, 581, 3811, 269, 634, 2890, 22381, 573, 545, 3926, 856, 704, 11526, 519, 824, 1614, 593, 1312, 12523, 269, 2201, 519, 4493, 540, 891, 2164, 519, 3173, 1031, 513, 4999, 540, 513, 9361, 1673, 1886, 543, 513, 8762, 2255, 8773, 547, 6707, 3313, 3889, 585, 476, 11740, 540, 476, 280, 4510, 29881, 5946, 585, 519, 2898, 16052, 1788, 563, 272, 269, 594, 3626, 267, 670, 1421, 715, 7159, 578, 267, 670, 1421, 26981, 600, 3120, 267, 962, 1421, 26981, 698, 11867, 267, 715, 1421, 3397, 926, 267, 962, 1421, 20855, 698, 11867, 267, 631, 1421, 661, 6798, 327, 4673, 267, 589, 1421, 1744, 1074, 2967, 267, 589, 1421, 590, 1872, 1695, 4673, 267, 631, 1421, 631, 12011, 8457, 267, 631, 1421, 1696, 620, 269, 24083, 718, 1436, 9584, 1449, 585, 519, 2898, 16052, 1788, 593, 14562, 16443, 5687, 17232, 639, 670, 289, 279, 269, 2920, 320, 24083, 718, 1748, 3821, 674, 5038, 267, 476, 4366, 278, 1700, 5392, 272, 630, 1220, 279, 1916, 292, 2202, 779, 5915, 4919, 8892, 269, 7316, 519, 3204, 687, 3657, 1261, 8172, 1310, 513, 5463, 1228, 540, 9197, 2478, 454, 1015, 269, 5400, 269, 1001, 278, 1923, 12670, 268, 9743, 26623, 24166, 2142, 341, 7238, 331, 12027, 2426, 3768, 9980, 19213, 331, 2426, 454, 14722, 7866, 2707, 540, 1480, 26470, 538, 476, 274, 5937, 454, 5881, 269, 5400, 269, 1001, 278, 1923, 2160, 540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5432, 609, 986, 326, 342, 677, 543, 922, 2360, 543, 22508, 2299, 12418, 543, 13265, 616, 1447, 12155, 547, 519, 2360, 267, 855, 621, 814, 513, 19469, 6757, 1198, 593, 519, 6797, 799, 666, 581, 2182, 547, 3095, 1394, 547, 14501, 540, 4598, 865, 2141, 581, 21713, 563, 9202, 568, 853, 3627, 779, 654, 677, 267, 1419, 1634, 547, 6705, 607, 621, 2306, 12418, 538, 1880, 1360, 12155, 547, 3141, 14315, 609, 930, 20498, 2164, 269, 898, 568, 9670, 4061, 602, 1034, 540, 721, 1810, 1406, 917, 1018, 621, 5654, 899, 256, 589, 4605, 3081, 513, 8536, 1913, 855, 538, 5618, 6609, 621, 568, 2356, 1447, 982, 22765, 1164, 543, 7472, 2947, 4620, 6817, 5835, 5810, 538, 4873, 630, 1156, 576, 519, 2012, 1310, 853, 269, 8592, 1554, 267, 476, 2190, 628, 4873, 256, 1916, 4002, 519, 6249, 540, 530, 2176, 849, 1413, 856, 585, 4826, 29100, 342, 677, 267, 607, 922, 2012, 5267, 621, 15055, 1216, 543, 546, 9662, 543, 1346, 786, 581, 593, 519, 4473, 1631, 256, 898, 5654, 513, 2603, 899, 10800, 16163, 2917, 543, 1247, 519, 3762, 543, 5810, 616, 21230, 2922, 543, 1419, 13881, 676, 12418, 267, 519, 5072, 689, 835, 2030, 616, 2614, 547, 6146, 606, 2937, 10800, 269, 1323, 2025, 682, 344, 2165, 585, 621, 568, 21582, 321, 2033, 267, 1174, 2406, 269, 634, 5072, 616, 22224, 3043, 8685, 619, 630, 5408, 4605, 1070, 4758, 621, 519, 824, 1455, 2012, 540, 16458, 2494, 779, 674, 532, 619, 563, 288, 3803, 1455, 1045, 14575, 540, 2250, 999, 786, 581, 936, 327, 4474, 522, 6545, 267, 519, 3762, 543, 3226, 1035, 27163, 616, 6757, 547, 519, 8459, 799, 949, 2014, 513, 16607, 1966, 1310, 4616, 269, 1284, 1419, 1294, 713, 1310, 513, 1974, 540, 1164, 12798, 3142, 1524, 513, 7693, 540, 1035, 27163, 543, 519, 2831, 10393, 1397, 606, 1719, 538, 519, 29667, 344, 563, 288, 3118, 689, 2048, 335, 770, 675, 2371, 685, 1776, 1455, 3815, 538, 8914, 902, 616, 4677, 2371, 267, 519, 929, 684, 902, 540, 799, 949, 581, 546, 22981, 936, 513, 21963, 538, 1434, 5132, 540, 4758, 519, 2831, 2048, 320, 1521, 685, 610, 676, 519, 811, 17351, 8038, 512, 23124, 256, 24768, 2371, 649, 616, 3622, 1134, 3222, 540, 1331, 962, 1168, 267, 10910, 617, 30705, 1258, 267, 6997, 1248, 636, 267, 2274, 344, 1633, 4512, 543, 519, 3762, 540, 15837, 543, 11002, 889, 16808, 269, 12344, 1447, 1134, 1634, 616, 31444, 331, 543, 519, 27315, 1540, 3762, 540, 588, 19861, 4829, 4054, 630, 680, 636, 267, 2481, 5459, 3092, 4700, 610, 26744, 563, 288, 3803, 2219, 593, 6757, 2371, 3006, 1336, 538, 1875, 3766, 14993, 28532, 7031, 267, 594, 5469, 3226, 538, 22959, 585, 930, 2601, 269, 594, 723, 4122, 1336, 8381, 344, 715, 2074, 327, 1228, 630, 320, 16246, 2030, 609, 13421, 540, 3039, 15708, 602, 18009, 523, 547, 2699, 264, 543, 1447, 4122, 4563, 715, 2074, 327, 1228, 630, 13678, 1791, 609, 3109, 15708, 1040, 5637, 2014, 538, 1952, 564, 766, 543, 1085, 712, 543, 616, 10355, 24037, 267, 9939, 1176, 519, 16458, 569, 715, 2074, 327, 1228, 568, 1152, 1336, 593, 25879, 344, 11934, 865, 10355, 538, 8061, 517, 543, 12397, 13665, 256, 12344, 835, 547, 581, 3222, 540, 538, 12349, 20555, 1498, 563, 2690, 2417, 1344, 593, 4639, 4812, 5225, 3346, 938, 5487, 684, 6827, 517, 2259, 593, 476, 27888, 5780, 476, 279, 7597, 5952, 269, 0, 763, 15544, 585, 8376, 6513, 543, 10644, 5950, 1007, 2090, 11016, 6029, 602, 7311, 13968, 538, 3506, 2337, 2569, 519, 3262, 540, 563, 3080, 1353, 6743, 693, 1239, 689, 3506, 538, 14151, 779, 3057, 545, 30249, 543, 623, 9874, 17521, 1310, 789, 759, 25390, 538, 16512, 1565, 538, 3735, 5147, 585, 519, 476, 1708, 272, 268, 2420, 4081, 1032, 269, 634, 1079, 17521, 2099, 5111, 476, 4037, 260, 540, 519, 1533, 779, 2551, 563, 1492, 15509, 1336, 602, 918, 268, 1321, 3506, 602, 1705, 711, 723, 9633, 4170, 693, 519, 4098, 540, 519, 1153, 1032, 941, 476, 274, 269, 276, 2053, 811, 2693, 547, 723, 5046, 17061, 982, 3506, 602, 2838, 782, 1004, 267, 7488, 540, 12674, 4567, 267, 547, 5957, 513, 9633, 16280, 689, 519, 1101, 1554, 540, 2852, 563, 8170, 519, 476, 15886, 3506, 9916, 538, 519, 1353, 267, 476, 2641, 260, 1185, 606, 2038, 9633, 10421, 267, 476, 1789, 269, 280, 260, 21892, 513, 9633, 10421, 1063, 8370, 543, 476, 1704, 2395, 1310, 519, 1376, 540, 519, 1153, 1032, 267, 543, 476, 4366, 260, 1185, 1100, 9633, 10421, 1547, 2986, 519, 476, 4489, 5046, 17061, 602, 7018, 538, 1346, 3506, 689, 5147, 476, 1428, 547, 4864, 476, 4029, 267, 476, 13647, 941, 538, 3506, 602, 1705, 711, 4019, 13968, 693, 782, 269, 12140, 609, 2038, 9633, 4170, 1185, 519, 1906, 652, 17061, 563, 7628, 602, 942, 1974, 267, 14151, 729, 7680, 606, 16057, 7678, 538, 12353, 5046, 2665, 267, 2687, 547, 8592, 22846, 2160, 563, 5194, 1353, 540, 519, 15509, 9916, 519, 1764, 540, 1153, 9633, 31433, 538, 519, 2475, 563, 763, 4589, 6743, 693, 1239, 689, 476, 26392, 17521, 602, 3323, 1153, 1063, 5147, 476, 272, 543, 5181, 476, 275, 540, 713, 1032, 543, 1185, 693, 2547, 513, 2407, 3018, 540, 2013, 1239, 689, 519, 1153, 1032, 269, 1358, 1152, 6743, 693, 17521, 1141, 782, 3506, 1185, 519, 1482, 9633, 4507, 269, 2986, 519, 476, 26392, 17521, 267, 476, 2735, 1185, 513, 1153, 9633, 10421, 543, 476, 27088, 1705, 711, 563, 763, 3173, 1336, 602, 17521, 602, 1705, 711, 723, 9633, 4170, 538, 741, 3506, 1185, 513, 2362, 2557, 540, 12963, 5046, 2665, 1310, 519, 1153, 1032, 3459, 982, 3506, 602, 1705, 269, 12140, 602, 2838, 13968, 267, 519, 1353, 1336, 267, 1185, 476, 1626, 269, 3953, 2665, 829, 476, 1911, 267, 1822, 1453, 538, 519, 1101, 3018, 540, 1153, 282, 3506, 1510, 1185, 476, 4097, 269, 5952, 2665, 829, 476, 1911, 267, 1822, 1453, 563, 4913, 267, 519, 4589, 7074, 602, 782, 10315, 1453, 941, 3769, 538, 519, 1239, 543, 711, 1175, 1346, 540, 1153, 2085, 269, 1358, 849, 7074, 602, 4116, 12674, 3928, 543, 1153, 1449, 1239, 941, 711, 6417, 538, 519, 23607, 267, 543, 519, 3732, 2450, 585, 17521, 568, 1507, 563, 1103, 1312, 2090, 267, 519, 4589, 556, 3438, 730, 602, 968, 322, 8091, 543, 5812, 946, 540, 13968, 568, 513, 2565, 4640, 892, 547, 2061, 519, 3262, 540, 5046, 268, 866, 563, 3849, 3421, 30105, 723, 5063, 4646, 519, 1034, 12353, 2665, 267, 2687, 547, 519, 15509, 267, 543, 4587, 4079, 1118, 909, 835, 540, 519, 9803, 12353, 2013, 2338, 563, 763, 1007, 1382, 2501, 8015, 5571, 9840, 936, 519, 31433, 540, 519, 13968, 267, 513, 3905, 1888, 538, 930, 2694, 540, 519, 2197, 563, 21296, 2829, 267, 1519, 267, 7147, 543, 14151, 723, 6836, 547, 7333, 1153, 13102, 689, 7311, 13968, 269, 11531, 267, 3506, 538, 19578, 267, 3162, 10491, 267, 17906, 616, 689, 519, 4972, 540, 4065, 585, 1010, 9633, 23626, 536, 753, 267, 609, 519, 8257, 6031, 519, 3375, 949, 1439, 9734, 519, 1072, 540, 1053, 563, 15674, 514, 4864, 621, 1336, 602, 1247, 811, 982, 3368, 540, 519, 3237, 23500, 3494, 3506, 1058, 2154, 13968, 585, 1453, 267, 476, 3607, 260, 3494, 789, 1058, 581, 18593, 543, 476, 277, 260, 1589, 789, 1058, 711, 581, 4847, 693, 782, 269, 769, 1840, 267, 476, 7367, 260, 540, 519, 3237, 23500, 1589, 602, 25750, 1058, 711, 581, 2838, 540, 1053, 563, 763, 15509, 814, 4371, 602, 8471, 9703, 9633, 532, 621, 568, 606, 1271, 1907, 547, 948, 2061, 519, 3262, 269, 634, 8116, 3081, 602, 782, 3610, 267, 5234, 267, 1053, 543, 8436, 538, 918, 268, 1321, 3506, 1590, 5957, 13968, 267, 7488, 540, 741, 31331, 4567, 269, 0, 763, 2990, 540, 519, 29835, 29424, 630, 343, 267, 8431, 269, 276, 269, 275, 6983, 264, 568, 1271, 538, 1931, 547, 3035, 513, 1434, 12805, 269, 4475, 267, 519, 2497, 538, 8431, 269, 476, 276, 269, 275, 568, 20533, 1586, 585, 8795, 1535, 609, 1312, 519, 674, 274, 291, 1138, 15975, 538, 674, 5263, 291, 1505, 543, 595, 4306, 631, 16703, 543, 519, 4496, 3625, 4463, 540, 476, 3374, 18725, 332, 269, 898, 1797, 602, 519, 4835, 2823, 8204, 519, 29835, 29424, 568, 6410, 2059, 519, 15340, 7852, 630, 8993, 269, 476, 276, 269, 274, 320, 264, 609, 1585, 9883, 689, 519, 8998, 1448, 540, 519, 19215, 267, 519, 15385, 1448, 540, 519, 32377, 269, 634, 11191, 2164, 540, 8086, 14170, 693, 519, 4835, 2823, 585, 1114, 7158, 540, 621, 616, 3254, 538, 8431, 269, 476, 276, 269, 278, 269, 3245, 519, 2164, 540, 1312, 519, 674, 5263, 291, 543, 674, 291, 31813, 5773, 621, 568, 10423, 602, 676, 4657, 519, 2990, 540, 519, 29835, 519, 25317, 540, 519, 4835, 2823, 630, 6358, 25317, 267, 476, 2004, 394, 358, 3738, 666, 581, 20083, 609, 519, 8984, 25317, 540, 519, 18921, 4611, 538, 513, 2362, 1377, 540, 5982, 630, 328, 4318, 269, 1164, 2132, 2530, 1040, 1717, 267, 13346, 519, 29424, 3123, 849, 513, 13581, 6521, 538, 16982, 4908, 267, 609, 1114, 1377, 540, 5982, 4470, 593, 519, 4890, 2990, 269, 634, 6521, 538, 519, 2823, 2990, 538, 2901, 4287, 676, 476, 4968, 18725, 332, 2164, 538, 811, 982, 476, 276, 28108, 1689, 538, 5982, 1377, 607, 1134, 607, 811, 982, 476, 271, 269, 273, 717, 13703, 6521, 538, 4908, 269, 4935, 267, 519, 18921, 3259, 814, 547, 581, 9862, 12055, 8271, 538, 1931, 547, 4368, 519, 22298, 4908, 547, 519, 9138, 1871, 563, 763, 771, 4038, 1436, 540, 942, 16755, 666, 581, 2944, 676, 4464, 630, 1410, 14032, 264, 610, 18807, 630, 574, 14032, 264, 13113, 3604, 269, 1955, 14032, 2409, 616, 14955, 3431, 7123, 267, 855, 789, 556, 268, 844, 790, 6061, 513, 3590, 540, 12430, 12307, 630, 306, 4041, 264, 538, 1142, 942, 1900, 269, 1401, 14032, 2409, 616, 1454, 14402, 538, 19106, 267, 2094, 789, 666, 581, 2854, 607, 513, 5119, 268, 19066, 12750, 328, 268, 524, 566, 538, 1142, 942, 1900, 269, 589, 2101, 2721, 3724, 540, 8763, 2409, 568, 602, 789, 616, 1152, 2783, 958, 7123, 543, 930, 616, 1256, 2141, 18633, 269, 634, 1034, 4122, 1031, 608, 268, 726, 7228, 1505, 568, 519, 865, 10777, 2048, 548, 777, 1922, 5766, 685, 1505, 267, 5189, 676, 962, 2465, 476, 538, 476, 3422, 277, 269, 898, 5161, 540, 513, 630, 560, 698, 13499, 264, 3844, 3017, 23479, 10023, 2034, 1931, 6111, 269, 634, 6617, 540, 519, 10325, 568, 4448, 547, 519, 7470, 24980, 6935, 267, 799, 6257, 519, 6991, 540, 513, 7077, 5951, 593, 519, 7470, 607, 8200, 593, 519, 4287, 540, 519, 5951, 6152, 269, 898, 14509, 585, 513, 1880, 31951, 1591, 630, 4501, 484, 343, 267, 31221, 344, 267, 31221, 345, 264, 630, 5408, 552, 3052, 269, 12467, 1103, 519, 2376, 2073, 519, 7665, 6202, 779, 4834, 616, 771, 4038, 1242, 538, 2230, 676, 513, 6843, 2861, 543, 6316, 2861, 13113, 3693, 1505, 267, 543, 606, 3608, 24626, 568, 4330, 1312, 585, 519, 4908, 543, 942, 6389, 30422, 269, 634, 1957, 476, 6257, 513, 2489, 1259, 547, 8495, 519, 6617, 540, 13796, 771, 4038, 1436, 14565, 971, 607, 18807, 3017, 267, 4464, 3017, 543, 3844, 3017, 2409, 538, 30402, 24599, 268, 476, 923, 269, 634, 6617, 568, 5462, 676, 7421, 519, 3597, 30580, 4786, 540, 513, 8984, 3830, 543, 10442, 519, 19706, 8953, 540, 13113, 3693, 1062, 5119, 269, 853, 1464, 3601, 616, 2016, 538, 476, 585, 13502, 540, 23644, 13590, 32176, 268, 562, 1580, 320, 585, 519, 7665, 6202, 779, 4834, 269, 769, 519, 2376, 2073, 942, 6389, 325, 9548, 3693, 2409, 1759, 593, 18724, 2284, 2609, 616, 6069, 585, 6061, 23644, 3210, 2042, 593, 25543, 268, 15949, 1537, 8544, 1127, 269, 2290, 540, 519, 6069, 14565, 568, 14955, 1288, 268, 24343, 7123, 267, 1776, 10325, 568, 8763, 855, 1281, 711, 2154, 5119, 538, 951, 687, 269, 1323, 8763, 942, 6389, 325, 9548, 3693, 5690, 568, 4843, 585, 519, 7665, 6202, 779, 4834, 538, 2073, 585, 1950, 2923, 538, 476, 630, 21671, 10230, 1267, 1040, 1323, 1648, 25137, 1505, 585, 476, 274, 291, 7665, 6202, 779, 4834, 568, 5833, 538, 2073, 1759, 593, 606, 12825, 11346, 24590, 1935, 269, 3509, 4574, 723, 1044, 2854, 827, 942, 6389, 771, 935, 268, 17646, 6681, 8895, 518, 7219, 630, 307, 24884, 294, 264, 2409, 538, 12985, 6850, 268, 3172, 7497, 1107, 269, 4033, 942, 6389, 2409, 547, 4194, 2901, 519, 7665 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2228, 4457, 1974, 25025, 267, 26759, 267, 519, 2407, 17856, 12240, 540, 966, 7709, 267, 519, 4457, 2817, 11310, 24486, 267, 543, 654, 534, 674, 836, 269, 26426, 268, 22860, 560, 3301, 729, 1031, 547, 2458, 622, 543, 5659, 519, 7020, 3928, 11855, 538, 519, 4574, 27366, 269, 24342, 281, 2991, 6268, 540, 519, 2298, 540, 519, 4574, 267, 476, 1839, 941, 6368, 3769, 267, 4758, 513, 2698, 3732, 2551, 2450, 585, 7634, 540, 8377, 540, 476, 25546, 267, 278, 8287, 267, 538, 799, 476, 2764, 267, 13199, 2665, 941, 9571, 269, 26426, 20400, 4951, 602, 519, 5916, 8377, 7020, 2557, 729, 476, 1015, 269, 275, 260, 630, 4817, 260, 6015, 8884, 476, 279, 269, 277, 1700, 1321, 269, 277, 1851, 3119, 1153, 1053, 538, 519, 4658, 781, 6243, 540, 3624, 267, 609, 513, 2362, 7020, 2557, 538, 8695, 630, 1321, 269, 277, 260, 982, 538, 6690, 630, 278, 269, 273, 10065, 634, 9860, 540, 8377, 729, 2362, 538, 519, 5087, 630, 1556, 269, 279, 260, 982, 538, 519, 5045, 630, 280, 269, 276, 9077, 7532, 630, 1556, 269, 277, 9077, 543, 4571, 29891, 630, 279, 269, 271, 260, 4525, 269, 25667, 3989, 2687, 547, 519, 2622, 2657, 9257, 2597, 16519, 13463, 697, 3044, 630, 1691, 269, 274, 260, 729, 2362, 982, 602, 1210, 2085, 10391, 543, 4008, 10391, 2759, 4752, 2798, 585, 1560, 2527, 4994, 630, 280, 269, 271, 10065, 6962, 281, 3776, 13849, 20400, 1336, 606, 8377, 9860, 2557, 540, 476, 1015, 269, 275, 9077, 799, 1281, 711, 3100, 607, 1164, 607, 3105, 5359, 540, 6689, 8377, 3928, 538, 824, 2477, 269, 1717, 267, 519, 9860, 540, 6689, 454, 306, 539, 662, 1695, 13019, 6409, 534, 10127, 321, 14515, 454, 17359, 7956, 12232, 9442, 4524, 568, 513, 7839, 771, 29058, 2042, 543, 2404, 609, 8801, 267, 1279, 2165, 6364, 602, 1764, 593, 2043, 267, 3885, 543, 4081, 9740, 540, 1453, 538, 519, 1153, 1296, 543, 1860, 25367, 5079, 2663, 538, 15296, 269, 634, 2832, 540, 713, 1353, 729, 547, 3313, 9860, 540, 4633, 4713, 4481, 588, 32211, 267, 5639, 267, 543, 4633, 1606, 895, 4713, 538, 3119, 1153, 1053, 538, 9459, 25286, 1794, 323, 269, 769, 513, 10855, 1353, 267, 476, 4281, 279, 272, 3119, 1153, 1053, 538, 962, 1794, 323, 11117, 538, 2070, 689, 540, 4633, 4713, 609, 946, 540, 1463, 543, 3068, 547, 3068, 4879, 4480, 538, 476, 1220, 276, 269, 634, 9860, 540, 2698, 4633, 4713, 729, 476, 1691, 269, 279, 260, 1851, 7247, 476, 1724, 269, 279, 260, 1185, 4633, 1606, 895, 4524, 267, 476, 272, 269, 273, 260, 588, 32211, 543, 476, 271, 269, 5325, 260, 5639, 4524, 269, 634, 9860, 540, 4633, 4713, 729, 2362, 982, 538, 9038, 630, 1626, 269, 278, 260, 607, 3379, 547, 8951, 630, 1321, 269, 278, 10065, 23694, 540, 9860, 540, 519, 1614, 4633, 4713, 729, 3648, 1114, 2687, 547, 4008, 267, 15366, 2069, 543, 676, 1297, 540, 1920, 4759, 269, 1703, 729, 1100, 1713, 3017, 2066, 4633, 4713, 543, 4332, 1931, 267, 4984, 543, 533, 11189, 931, 1481, 6541, 269, 1452, 9860, 5515, 616, 2362, 982, 811, 2090, 602, 1210, 2385, 610, 4116, 5359, 563, 30537, 6874, 338, 836, 267, 595, 1815, 23158, 654, 623, 282, 654, 784, 267, 3397, 5886, 590, 918, 282, 2274, 2426, 267, 20999, 654, 670, 282, 4258, 978, 267, 20717, 576, 590, 282, 15616, 340, 267, 25381, 670, 654, 282, 570, 572, 267, 27692, 674, 700, 282, 932, 2426, 267, 31434, 595, 918, 454, 2467, 616, 811, 1453, 8995, 609, 1808, 1565, 7965, 538, 2487, 1296, 607, 1004, 616, 811, 3222, 540, 891, 2175, 269, 26616, 1907, 814, 1044, 24019, 547, 5496, 856, 713, 2783, 689, 519, 2551, 630, 8967, 17162, 1449, 585, 15173, 15158, 1453, 1040, 1717, 267, 585, 1808, 4879, 593, 13002, 1966, 267, 972, 4667, 513, 3668, 540, 13387, 543, 6662, 6268, 1907, 547, 1413, 883, 519, 2042, 269, 634, 6662, 540, 713, 1353, 729, 547, 19472, 519, 4457, 29986, 5811, 3590, 630, 6224, 3008, 1070, 799, 568, 2966, 547, 2268, 1312, 519, 1184, 543, 2504, 540, 13002, 269, 634, 4020, 14496, 267, 4780, 7217, 14496, 267, 4835, 11007, 543, 1449, 3146, 11687, 10727, 540, 8863, 3008, 729, 9916, 1210, 519, 1239, 689, 476, 278, 4097, 3446, 476, 272, 268, 277, 1053, 689, 476, 277, 3119, 3506, 538, 15173, 15158, 269, 25867, 3281, 9426, 5811, 7000, 602, 7403, 540, 8863, 3008, 16041, 883, 476, 275, 3334, 799, 20039, 585, 476, 6507, 269, 10463, 260, 540, 519, 13065, 269, 634, 9756, 1063, 519, 13002, 6111, 5833, 689, 670, 3008, 543, 3750, 4252, 532, 729, 678, 284, 269, 10463, 269, 595, 1258, 22138, 781, 13672, 540, 782, 6482, 3688, 729, 1547, 4792, 269, 31453, 12676, 540, 1603, 942, 829, 1915, 267, 782, 519, 6482, 3688, 3823, 13002, 3432, 267, 13002, 6111, 543, 4050, 2604, 4951, 1434, 547, 5140, 1449, 3146, 11687, 10727, 630, 337, 284, 269, 7761, 268, 269, 9834, 1070, 1247, 6482, 593, 519, 2338, 540, 3197, 799, 25295, 7470, 4951, 9793, 10727, 630, 337, 284, 269, 4366, 1040, 4014, 972, 616, 1869, 23908, 21978, 267, 27354, 22817, 610, 5667, 29347, 1881, 3344, 799, 949, 711, 581, 5462, 676, 519, 1062, 267, 519, 8863, 3008, 666, 9090, 4217, 16293, 538, 7114, 3119, 1153, 1053, 609, 13002, 2042, 543, 2936, 7459, 9935, 269, 14645, 9736, 476, 1001, 274, 29021, 13456, 269, 2353, 2924, 11603, 563, 290, 7637, 11170, 328, 267, 10370, 24229, 681, 282, 8751, 541, 267, 8845, 700, 282, 772, 6113, 1122, 541, 267, 24697, 631, 282, 918, 817, 267, 19626, 670, 454, 288, 476, 277, 18881, 12681, 1353, 729, 5342, 547, 1449, 519, 13429, 602, 606, 7317, 267, 13865, 1242, 5694, 17678, 2069, 1982, 1131, 1764, 519, 5711, 9882, 540, 1970, 4747, 1053, 269, 634, 6304, 15538, 540, 606, 3872, 1982, 5059, 593, 5694, 17678, 602, 3769, 7317, 7886, 609, 5959, 4648, 543, 3610, 269, 3427, 476, 272, 1053, 4607, 6044, 267, 5694, 1962, 16640, 267, 543, 19015, 547, 11453, 741, 4522, 3232, 1310, 12899, 269, 3427, 476, 273, 1053, 4607, 6044, 1152, 269, 3427, 476, 274, 1053, 1152, 4607, 5694, 1962, 16640, 547, 4894, 15799, 269, 5753, 538, 782, 476, 274, 3506, 941, 8947, 676, 8036, 5959, 9882, 1053, 945, 1031, 15799, 12607, 3151, 5277, 547, 6060, 519, 2179, 540, 15799, 269, 589, 16762, 12633, 1049, 1374, 729, 1031, 547, 3313, 519, 6708, 602, 1114, 6304, 2010, 543, 5924, 15295, 270, 1506, 8958, 2853, 10567, 3604, 538, 2022, 6304, 15799, 1377, 267, 2899, 15977, 15799, 1377, 729, 3144, 883, 2272, 269, 589, 2698, 540, 476, 22724, 1101, 543, 2034, 3446, 1053, 538, 476, 274, 1857, 10026, 3506, 538, 24543, 15548, 538, 519, 1353, 269, 15788, 267, 1611, 15799, 8464, 941, 3648, 2539, 693, 519, 476, 277, 3923, 1246, 5346, 269, 9737, 31228, 16198, 540, 519, 1611, 1246, 5346, 8464, 267, 14661, 585, 519, 1198, 540, 519, 15977, 8464, 267, 7000, 3152, 855, 1875, 1606, 22658, 15799, 5786, 693, 3427, 476, 272, 3379, 547, 519, 824, 3506, 267, 543, 519, 4527, 540, 1713, 2085, 543, 6803, 2360, 269, 634, 1034, 14021, 6304, 6044, 10483, 676, 7368, 2259, 949, 1291, 547, 4824, 5711, 9882, 950, 3379, 547, 6044, 4805, 267, 950, 5711, 9882, 2853, 543, 15295, 4162, 616, 3144, 883, 2272, 269, 5071, 2242, 5497, 547, 2333, 8579, 1379, 949, 948, 547, 1011, 6510, 891, 2360, 269, 14645, 9736, 476, 1001, 276, 634, 1977, 15482, 5754, 8162, 1235, 685, 5948, 563, 295, 7238, 326, 6199, 267, 3933, 320, 715, 5919, 962, 541, 6229, 267, 5153, 7315, 773, 589, 5919, 2558, 3518, 648, 267, 19626, 282, 670, 7238, 326, 6199, 267, 8834, 454, 289, 648, 531, 4104, 11934, 616, 4122, 6353, 676, 513, 1970, 2030, 9436, 630, 301, 264, 3761, 269, 589, 1164, 3529, 2630, 268, 3033, 14305, 540, 3327, 630, 290, 264, 547, 5072, 543, 3037, 14471, 538, 3210, 547, 519, 17732, 540, 715, 949, 1291, 547, 1164, 15451, 1799, 984, 559, 5314, 540, 715, 267, 3976, 24395, 908, 519, 715, 20159, 269, 1284, 6594, 519, 715, 3761, 693, 513, 16528, 16004, 531, 4104, 5117, 12225, 846, 638, 775, 2813, 676, 1007, 2244, 8375, 856, 540, 519, 4262, 1813, 547, 568, 334, 3613, 1738, 6450, 895, 269, 634, 21836, 11934, 1020, 609, 803, 27595, 676, 519, 5032, 267, 4553, 676, 513, 7997, 540, 7188, 527, 4088, 21338, 620, 1457, 4054, 267, 543, 3119, 16004, 531, 598, 11717, 4104, 593, 2666, 909, 547, 476, 28794, 1296, 2025, 269, 2060, 2810, 5117, 2085, 267, 519, 8167, 540, 15451, 595, 856, 540, 519, 2698, 3037, 595, 7535, 689, 519, 21836, 547, 519, 9510, 598, 26448, 5117, 729, 3586, 630, 322, 269, 476, 272, 268, 272, 269, 276, 15992, 6466, 1799, 984, 559, 2213, 715, 630, 332, 17853, 715, 856, 540, 2698, 3037, 715, 264, 2799, 543, 14059, 519, 2157, 4122, 4767, 538, 2147, 16004, 531, 598, 26448, 7733, 630, 322, 269, 476, 277, 268, 278, 4939, 1070, 6466, 14407, 715, 7777, 1436, 17379, 269, 30027, 3585, 267, 2030, 1165, 3511, 715, 4939, 8519, 543, 519, 2067, 11606, 540, 715, 268, 1428, 538, 519, 3037, 2799, 269, 2859, 4481, 267, 519, 3017, 538, 715, 268, 1428, 1063, 2030, 16714, 543, 3037, 2799, 267, 799, 568, 1644, 547, 3152, 12802, 540, 715, 268, 1428, 3448, 547, 715, 268, 1691, 676, 28341, 3912, 14585, 9071, 714, 531, 13271, 607, 715, 568, 3144, 909, 689, 519, 3037, 543, 930, 715, 568, 11843, 547, 519, 2030, 3984, 269, 769, 519, 598, 11717, 4104, 267, 1141, 891, 2242, 941, 6574, 267, 649, 1336, 2799, 16507, 13947, 538, 519, 674, 268, 543, 670, 268, 1817, 714, 976, 540, 519, 2849, 2000, 9707, 267, 538, 799, 28341, 3912, 14585, 9071, 714, 531, 13271, 616, 1634, 547, 20441, 630, 1492, 26627, 25958, 16880, 609, 16445, 543, 21263, 568, 13856, 676, 18682, 8527, 13116, 13271, 1040, 9747, 267, 649, 15974, 602, 519, 13302, 715, 3761, 547, 519, 2371, 543, 519, 7766, 7771, 538, 2030, 2504, 538, 30333, 16004, 531, 7733, 568, 5532, 547, 1164, 3529, 2630, 3033, 595, 14305, 547, 595, 3908, 28341, 3912, 14585, 9071, 714, 531, 13271, 630, 663, 824, 3037, 14471, 1070, 513, 2178, 16173, 585, 2139, 3037, 715, 269, 4578, 593, 5214, 2339, 595, 268, 1691, 6700, 602, 519, 4102, 3403, 540, 5063, 6378, 2030, 595, 7018, 538, 519, 7820, 598, 26448, 4104, 454, 763, 2157, 540, 6278, 538, 6128, 4810, 676, 1053, 1282, 519, 1647, 1296, 540, 18375, 630, 312, 8986, 476, 276, 547, 476, 279, 538, 1715, 3162, 12986, 264, 814, 1044, 540, 6161, 538, 5245, 585, 930, 1296, 269, 8899, 1229, 6278, 538, 1153, 814, 1044, 11911, 547, 2188, 971, 607, 20025, 3450, 2994, 267, 21195, 602, 568, 17946, 718, 27701, 543, 13061, 267, 543, 2686, 543, 6639, 2175, 602, 3136, 547, 11457, 630, 306, 29229, 1696, 620, 269, 8241, 4750, 540, 4065, 476, 7871, 263, 273, 2567, 12293, 268, 4489, 267, 476, 1220, 280, 1040, 1703, 568, 4867, 513, 7934, 538, 713, 2361, 540, 1382, 538, 2474, 540, 513, 3668, 540, 19976, 2090, 5342, 538, 606, 8241, 2796, 602, 4183, 1053, 262, 9739, 543, 741, 11994, 540, 6128, 3450, 543, 1565, 1282, 519, 1647, 1296, 269, 1306, 851, 540, 513, 12007, 19976, 2013, 1353, 17364, 476, 274, 1153, 1296, 267, 476, 736, 1053, 538, 741, 3803, 1032, 540, 3119, 1153, 630, 3042, 1063, 476, 1556, 543, 476, 1321, 1296, 264, 941, 4280, 547, 1683, 741, 5784, 593, 6128, 3450, 543, 1565, 269, 634, 2832, 540, 519, 1353, 729, 547, 2263, 519, 1053, 262, 5380, 540, 6128, 3450, 543, 1565, 547, 3605, 15338, 690, 625, 602, 4497, 519, 1053, 269, 4438, 1445, 1895, 5717, 543, 1367, 11042, 519, 1053, 5941, 7907, 540, 513, 834, 16591, 257, 6128, 4116, 543, 3344, 540, 834, 16591, 257, 4245, 269, 1452, 941, 1336, 547, 13469, 1134, 609, 1699, 8241, 2298, 3450, 10850, 269, 634, 4681, 540, 713, 1353, 5815, 602, 1053, 538, 519, 1647, 1296, 616, 9691, 3222, 540, 15338, 690, 625, 602, 1291, 547, 6278, 538, 6128, 267, 543, 4540, 4441, 543, 10850, 1058, 581, 1031, 607, 513, 4358, 1448, 585, 2298, 3450, 540, 6128, 563, 288, 9808, 14923, 17565, 1131, 581, 3730, 538, 3119, 1416, 547, 2697, 4587, 1004, 693, 1981, 267, 855, 3617, 14573, 693, 602, 1377, 616, 15877, 269, 1284, 2813, 543, 24019, 513, 2241, 6293, 585, 9808, 14923, 9584, 538, 17417, 9907, 21759, 2004, 269, 3776, 1353, 568, 1759, 593, 519, 1101, 5951, 540, 519, 11752, 540, 2657, 267, 6520, 532, 543 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 547, 22281, 519, 1686, 540, 519, 18211, 7100, 9575, 909, 538, 519, 544, 6130, 560, 668, 540, 519, 12157, 9917, 341, 1731, 7169, 543, 519, 5137, 540, 23237, 781, 6576, 563, 2005, 568, 519, 1650, 540, 875, 513, 5553, 6040, 16918, 267, 4583, 585, 922, 1350, 7867, 532, 5763, 267, 922, 3028, 547, 519, 512, 338, 541, 543, 10504, 267, 543, 922, 13319, 540, 519, 6575, 543, 2528, 267, 729, 7006, 1601, 612, 539, 543, 24764, 676, 281, 476, 274, 269, 769, 519, 31341, 6681, 1296, 1310, 519, 4838, 540, 1492, 2757, 2759, 331, 675, 540, 15875, 6576, 729, 1312, 10032, 543, 12873, 267, 607, 513, 1007, 8168, 2528, 3459, 547, 1491, 3337, 563, 1607, 1433, 6212, 593, 519, 5872, 1063, 519, 6932, 2797, 543, 2686, 4507, 540, 519, 8168, 12512, 543, 519, 7184, 4371, 2757, 2418, 540, 519, 11832, 543, 563, 27415, 640, 540, 812, 543, 2528, 602, 1219, 1221, 782, 12316, 20116, 855, 849, 676, 14849, 9270, 7142, 2390, 519, 1007, 12512, 676, 519, 5579, 334, 521, 542, 540, 4838, 543, 519, 12900, 540, 834, 8705, 25399, 1701, 589, 29089, 320, 268, 564, 620, 1421, 32308, 1421, 12157, 9917, 341, 1731, 9177, 281, 15331, 543, 11352, 538, 519, 6739, 7169, 630, 289, 5979, 4040, 2023, 281, 18518, 2160, 4964, 267, 16532, 476, 272, 304, 563, 289, 565, 9917, 341, 1143, 543, 631, 839, 515, 341, 1143, 630, 321, 16230, 331, 21485, 3333, 16745, 341, 384, 361, 345, 16745, 332, 267, 536, 385, 493, 331, 21485, 1700, 267, 544, 384, 499, 333, 21485, 3333, 16745, 341, 384, 361, 345, 16745, 332, 1070, 519, 1079, 1292, 8371, 540, 6739, 25847, 689, 2394, 519, 28051, 540, 519, 12157, 9917, 341, 1731, 28983, 1222, 896, 22255, 514, 538, 519, 3540, 2112, 540, 1107, 634, 6739, 4317, 14891, 8534, 5428, 267, 31205, 4646, 693, 513, 18322, 693, 631, 1231, 330, 538, 13195, 1759, 593, 519, 29625, 540, 14100, 1143, 563, 288, 12316, 1032, 281, 1215, 6576, 2048, 326, 582, 10240, 338, 1506, 685, 538, 5623, 281, 14408, 8055, 779, 23836, 1433, 5036, 519, 24057, 992, 540, 17578, 541, 22956, 543, 519, 12157, 9917, 341, 1731, 4838, 538, 2796, 563, 1607, 1433, 814, 1044, 11855, 676, 519, 1739, 12326, 269, 901, 1592, 568, 6383, 1759, 593, 1239, 3177, 676, 9061, 8269, 269, 17389, 321, 747, 267, 27055, 3245, 4004, 1143, 547, 14640, 4211, 2174, 684, 1143, 269, 634, 4279, 2782, 267, 7169, 543, 519, 26647, 24327, 3683, 13458, 281, 6576, 267, 21829, 6576, 267, 5292, 563, 1789, 267, 17136, 269, 476, 273, 267, 533, 269, 9894, 519, 7169, 19732, 523, 27085, 290, 1243, 676, 281, 9085, 8032, 519, 2797, 2528, 540, 519, 6576, 538, 799, 32157, 594, 569, 747, 22255, 514, 8057, 909, 563, 2750, 14032, 569, 2797, 5931, 941, 2352, 547, 15476, 896, 519, 512, 338, 30658, 12512, 269, 634, 678, 553, 615, 1557, 1235, 941, 2868, 539, 909, 538, 607, 2643, 4548, 2394, 789, 968, 13440, 2642, 27535, 538, 824, 1913, 267, 2394, 789, 15597, 973, 5896, 741, 5784, 269, 9410, 14520, 8243, 603, 568, 513, 5449, 18293, 5330, 550, 585, 18917, 7641, 945, 814, 2854, 14916, 827, 6739, 1686, 543, 2528, 563, 14367, 1007, 1433, 267, 589, 13433, 3873, 779, 717, 3424, 267, 568, 3370, 676, 17363, 1299, 5576, 13831, 538, 7169, 281, 6739, 3203, 1107, 267, 6301, 11829, 7685, 267, 9576, 9142, 540, 8551, 267, 476, 1556, 5988, 1107, 476, 1704, 4989, 769, 713, 1433, 13747, 5640, 689, 5101, 543, 4639, 2721, 593, 5063, 8118, 21517, 547, 4161, 519, 4122, 4371, 2070, 602, 519, 12157, 9917, 12858, 802, 10150, 7839, 1489, 543, 602, 741, 2038, 1686, 729, 3274, 513, 15292, 4724, 17149, 11802, 563, 5445, 1397, 3079, 602, 1282, 713, 1974, 6739, 2486, 729, 693, 2112, 609, 3294, 543, 609, 519, 269, 634, 12157, 9917, 341, 1731, 7169, 630, 290, 1551, 264, 8422, 1733, 903, 540, 519, 6739, 4860, 269, 630, 303, 6346, 264, 634, 6739, 6406, 2782, 630, 300, 1177, 1091, 2917, 264, 12157, 9917, 341, 1731, 9177, 630, 294, 548, 1783, 264, 6468, 267, 519, 3557, 543, 7169, 630, 20112, 2006, 264, 1975, 625, 543, 2155, 1170, 1513, 630, 306, 16291, 264, 4414, 10060, 281, 3689, 12157, 9917, 341, 1731, 7780, 18701, 630, 289, 690, 323, 534, 990, 264, 6576, 538, 519, 5736, 540, 563, 289, 565, 9917, 341, 1731, 2528, 269, 27748, 16438, 11047, 543, 2686, 4838, 538, 3624, 543, 6576, 1315, 24381, 823, 2725, 529, 1676, 269, 7981, 1353, 540, 519, 26366, 534, 4659, 585, 11628, 6739, 5525, 267, 519, 14355, 4741, 267, 1100, 563, 20486, 269, 17461, 6176, 281, 17340, 2675, 1156, 29231, 267, 23436, 269, 9540, 1290, 10232, 281, 7169, 1944, 19974, 538, 8168, 6576, 267, 630, 6124, 3840, 543, 5507, 281, 30296, 24415, 1067, 267, 15426, 769, 713, 1433, 267, 17340, 2675, 1156, 29231, 15244, 519, 9872, 540, 9656, 538, 519, 8168, 5742, 267, 543, 3096, 2038, 6689, 2069, 607, 513, 7828, 547, 1174, 519, 12157, 9917, 341, 1731, 20748, 563, 310, 514, 8725, 26235, 1412, 10461, 2213, 946, 540, 3114, 9604, 262, 634, 2104, 6305, 14012, 7254, 794, 539, 519, 1412, 2865, 14042, 3114, 14049, 2479, 25282, 262, 1996, 519, 6739, 12157, 9917, 12858, 802, 269, 8340, 1082, 1390, 1007, 1299, 1031, 3681, 543, 1205, 519, 1655, 9388, 585, 5525, 593, 519, 3778, 540, 5980, 543, 9177, 281, 12157, 9917, 341, 1731, 14080, 11040, 267, 476, 1428, 676, 6276, 13153, 717, 601, 1457, 333, 630, 267, 10434, 16225, 264, 693, 519, 1655, 2228, 5777, 693, 552, 29074, 2336, 10403, 11288, 585, 1082, 2472, 256, 25835, 281, 2473, 32726, 9448, 7089, 281, 13517, 281, 1535, 4512, 267, 3817, 281, 12383, 6902, 476, 1839, 4699, 269, 12937, 281, 27748, 16438, 2880, 14768, 538, 519, 6739, 4838, 281, 21006, 543, 8497, 519, 2250, 1315, 9400, 853, 2572, 4534, 299, 523, 514, 781, 12157, 9917, 341, 1143, 607, 513, 2528, 538, 519, 1818, 1315, 7917, 595, 563, 307, 27462, 4534, 763, 1008, 29850, 2229, 543, 922, 2686, 2262, 1315, 12253, 570, 269, 2107, 21754, 20391, 4534, 763, 3540, 269, 0, 2537, 4989, 568, 853, 6723, 779, 4303, 269, 2817, 3961, 568, 11786, 538, 938, 4207, 2528, 267, 855, 10362, 547, 513, 4182, 568, 1271, 547, 1082, 1004, 269, 3752, 345, 1156, 1235, 2106, 4718, 6082, 607, 519, 5763, 540, 18495, 269, 667, 739, 4141, 341, 20391, 4718, 873, 607, 5837, 14789, 269, 2696, 13924, 1345, 2813, 519, 6082, 543, 11887, 741, 6302, 269, 22798, 2244, 4249, 513, 2027, 1909, 538, 938, 6082, 267, 3246, 513, 6405, 1445, 585, 7493, 2093, 540, 3084, 3961, 269, 12315, 7064, 585, 519, 3982, 4369, 543, 9322, 540, 519, 6082, 540, 519, 5177, 543, 585, 741, 3309, 543, 4190, 8916, 269, 21813, 585, 519, 7083, 547, 10653, 519, 1880, 13344, 543, 1289, 902, 540, 1142, 4182, 269, 1306, 1082, 3343, 7115, 267, 7281, 585, 519, 2104, 540, 519, 2136, 8003, 269, 21813, 2523, 602, 21071, 267, 4171, 1101, 15114, 568, 538, 519, 8003, 540, 2696, 267, 786, 581, 2500, 6070, 543, 1769, 267, 8757, 856, 547, 782, 6082, 609, 15962, 954, 20896, 543, 5692, 267, 8726, 938, 2797, 3347, 269, 0, 1103, 519, 1576, 540, 519, 3243, 549, 6953, 2426, 4115, 543, 15349, 10617, 540, 519, 2034, 3368, 540, 519, 476, 1704, 628, 2540, 267, 519, 5395, 15487, 1004, 543, 519, 5783, 521, 3660, 609, 519, 5449, 269, 4347, 324, 520, 585, 519, 16167, 1185, 29854, 602, 2417, 12012, 519, 1576, 540, 5395, 15487, 1686, 267, 1272, 267, 2528, 543, 1148, 563, 2691, 519, 5395, 2125, 18084, 519, 8355, 4209, 543, 590, 6072, 8933, 267, 538, 476, 15433, 271, 267, 883, 519, 11182, 540, 8828, 21640, 267, 3366, 676, 24686, 1105, 1488, 11420, 6359, 324, 2961, 7224, 329, 5271, 545, 267, 513, 1007, 5736, 729, 13175, 269, 5020, 729, 711, 2653, 538, 19220, 540, 930, 2797, 22864, 593, 713, 4108, 20281, 267, 1317, 538, 10617, 543, 7526, 519, 6575, 2760, 21707, 269, 1809, 519, 7526, 4682, 4514, 982, 6411, 540, 2112, 269, 2755, 519, 476, 1428, 628, 2540, 15076, 6719, 519, 2362, 5049, 540, 5395, 15487, 32540, 2486, 267, 519, 1007, 32164, 7847, 540, 519, 3735, 476, 1704, 628, 2540, 20705, 547, 6106, 540, 1114, 1514, 543, 2804, 2990, 269, 1358, 941, 21847, 3079, 540, 3276, 7970, 267, 945, 1131, 581, 25133, 538, 741, 1378, 17163, 2238, 267, 971, 607, 538, 16450, 610, 538, 4123, 563, 763, 2245, 27995, 1148, 540, 519, 5395, 2125, 729, 7184, 13615, 547, 741, 3909, 543, 6803, 3961, 267, 543, 585, 602, 2601, 621, 729, 18979, 569, 9856, 539, 269, 2311, 519, 1482, 942, 267, 713, 2025, 2245, 540, 513, 13110, 1148, 267, 16434, 693, 519, 1360, 1655, 538, 922, 4082, 543, 10781, 267, 729, 5185, 609, 513, 4628, 9921, 7262, 2511, 269, 4595, 519, 5375, 1148, 6163, 689, 519, 11193, 593, 1189, 616, 1732, 1634, 547, 2221, 779, 5467, 267, 972, 568, 1100, 991, 547, 17743, 593, 873, 563, 26796, 741, 12625, 538, 519, 11182, 4122, 1572, 519, 966, 19390, 341, 617, 2088, 267, 519, 5395, 2125, 941, 21947, 676, 513, 4628, 2919, 25724, 2511, 811, 982, 835, 4627, 1296, 2025, 269, 25724, 729, 1034, 2047, 4857, 607, 519, 7826, 2511, 267, 799, 1500, 922, 10343, 2352, 1851, 519, 18179, 5395, 2125, 945, 941, 31604, 540, 7503, 543, 3954, 1049, 1436, 563, 4263, 1101, 519, 1148, 540, 519, 18186, 20802, 2324, 585, 5395, 2125, 538, 8828, 21640, 6854, 519, 2025, 3029, 9800, 267, 4946, 930, 1007, 543, 28677, 2609, 267, 543, 12667, 4778, 269, 634, 1101, 2185, 5756, 540, 519, 476, 1240, 628, 2540, 666, 581, 2808, 607, 513, 27139, 1974, 267, 1282, 799, 519, 2025, 267, 2757, 1148, 729, 7444, 14460, 267, 543, 519, 1007, 267, 4914, 2511, 7444, 7608, 269, 634, 5912, 729, 1500, 2009, 676, 5395, 2125, 2907, 3964, 607, 18318, 267, 22278, 267, 543, 13492, 5443, 267, 2713, 538, 519, 2749, 2950, 540, 14863, 574, 267, 744, 560, 5766, 517, 269, 13329, 268, 4517, 516, 10937, 267, 21540, 539, 514, 267, 543, 1866, 563, 763, 1007, 2511, 568, 1101, 543, 5097, 5433, 538, 5939, 6189, 269, 4014, 519, 23464, 1185, 24714, 547, 8190, 519, 2025, 3029, 267, 4487, 26767, 585, 519, 23072, 941, 7508, 267, 543, 865, 2241, 15839, 13039, 676, 2199, 13492, 5443, 543, 544, 3517, 941, 6659, 269, 634, 23732, 593, 519, 16538, 729, 13671, 593, 7262, 1795, 3547, 269, 5565, 13039, 538, 713, 1007, 25724, 2511, 1851, 519, 5395, 2125, 2713, 538, 21640, 2392, 622, 676, 1079, 1296, 519, 1390, 9194, 540, 476, 15433, 271, 269, 1358, 941, 538, 744, 560, 5766, 517, 543, 538, 14863, 574, 267, 519, 8545, 1373, 17468, 538, 476, 15876, 274, 269, 1358, 941, 4553, 676, 2185, 13039, 538, 853, 269, 27055, 10937, 267, 835, 540, 519, 4102, 5395, 15487, 10125, 538, 21640, 630, 29272, 14366, 5783, 267, 519, 3690, 14808, 4851, 267, 519, 595, 760, 22201, 520, 6390, 5783, 543, 519, 7313, 345, 732, 341, 871, 320, 5783, 1040, 2311, 519, 1482, 942, 267, 13261, 11808, 540, 4587, 13039, 267, 971, 607, 853, 269, 19279, 779, 5783, 538, 918, 1575, 514, 26785, 267, 729, 5645, 856, 269, 1520, 1885, 547, 2907, 4540, 20708, 625, 267, 2429, 519, 623, 2335, 20897, 23617, 941, 2813, 269, 634, 476, 1704, 628, 2540, 20708, 625, 799, 4553, 519, 5651, 6072, 2511, 28886, 517, 577, 657, 2666, 1544, 941, 2016, 3606, 11350, 20610, 593, 799, 4626, 573, 24744, 568, 6976, 547, 519, 25724, 2511, 1472, 6885, 23761, 267, 538, 519, 20078, 559, 710, 541, 3623, 17924, 8291, 540, 519, 8122, 543, 538, 519, 26816, 1181, 630, 298, 337, 4310, 565, 267, 20653, 11986, 3816, 9508, 267, 681, 752, 990, 659, 267, 590, 529, 520, 990, 659, 267, 14929, 26785, 267, 2142, 665, 514, 267, 808, 1794, 752, 267, 782, 6580, 689, 519, 476, 15876, 271, 779, 547, 519, 476, 11260, 271, 779, 1040, 769, 918, 337, 4310, 565, 519, 9486, 543, 11188, 577, 941, 2016, 25724, 2609, 282, 538, 26636, 329, 8643, 519, 2019, 2373, 2408, 593, 519, 3284, 572, 267, 855, 519, 1034, 7986, 25724, 2609, 21518, 547, 581, 1336, 593, 519, 7262, 1795, 3547, 267, 1141, 513, 17208, 7895, 2939, 14380, 689, 519, 7796, 2120, 17446, 547, 7406, 513, 1507, 522, 1529, 639, 630, 295, 29081, 282, 267, 2142, 345, 6577, 543, 1866, 1040, 5589, 16226, 540, 519, 9510, 715, 17507, 329, 545, 13210, 729, 6913, 267, 2705, 267, 538, 519, 4070, 540, 519, 9095, 3547, 593, 519, 13039, 540, 918, 990, 559 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 316, 6769, 7386, 952, 15358, 314, 13232, 316, 10922, 3077, 10922, 15358, 314, 337, 316, 6769, 13376, 561, 815, 13232, 2431, 1477, 7386, 3116, 6769, 13376, 678, 815, 4571, 3847, 1477, 3546, 3116, 6769, 7386, 952, 4571, 3847, 2999, 561, 6769, 13376, 561, 815, 4571, 2431, 1477, 7386, 952, 4571, 2431, 3436, 678, 6769, 13376, 678, 815, 4571, 3847, 1477, 1038, 2132, 8771, 5897, 5035, 8827, 6769, 825, 1219, 3406, 4311, 267, 15358, 281, 5903, 27776, 3910, 3077, 281, 703, 264, 9847, 536, 944, 6769, 1363, 1477, 1038, 1219, 1184, 10857, 267, 678, 8029, 2018, 952, 678, 2999, 561, 6769, 3546, 2132, 8771, 1477, 2018, 952, 678, 2652, 561, 6769, 3546, 2132, 15358, 314, 331, 316, 2652, 3077, 1477, 17264, 1477, 2018, 4571, 815, 630, 331, 266, 337, 264, 2260, 273, 1477, 2018, 952, 15358, 314, 13232, 316, 2652, 3077, 6769, 3546, 2132, 6936, 1477, 2018, 952, 15358, 314, 331, 316, 2999, 15358, 314, 13232, 316, 6769, 3546, 952, 15358, 314, 331, 316, 27045, 339, 13759, 283, 333, 4548, 314, 13232, 316, 6769, 7386, 2132, 1184, 10857, 267, 13232, 268, 272, 3418, 3546, 3116, 6769, 7386, 2132, 1184, 9852, 573, 266, 272, 267, 337, 3418, 2018, 8640, 15358, 314, 13232, 316, 2999, 15358, 314, 337, 316, 6769, 3546, 952, 15358, 314, 13232, 316, 283, 339, 13759, 27045, 333, 4548, 314, 337, 316, 6769, 7386, 2132, 1184, 9852, 573, 266, 272, 267, 337, 3418, 3546, 3116, 6769, 7386, 2132, 1184, 10857, 267, 13232, 268, 272, 3418, 2018, 3116, 6769, 3546, 2132, 1184, 10857, 267, 13232, 268, 272, 264, 610, 1184, 9852, 573, 266, 272, 267, 337, 3418, 1363, 1477, 1038, 2132, 1184, 263, 271, 267, 6352, 25225, 9984, 272, 10142, 258, 476, 11025, 269, 17179, 13660, 27289, 689, 590, 9285, 5903, 4083, 1477, 5035, 8827, 6769, 825, 1219, 18419, 291, 340, 27289, 4311, 267, 2212, 281, 5903, 11966, 264, 9847, 5903, 11966, 6769, 1038, 952, 2212, 568, 7183, 610, 2212, 12785, 568, 7183, 6769, 2018, 2132, 2212, 1477, 1363, 1477, 1038, 546, 16244, 815, 5903, 11966, 263, 271, 3418, 1038, 1007, 815, 546, 16244, 1477, 1038, 28364, 815, 2212, 1477, 1038, 10917, 815, 2212, 12785, 1477, 1038, 26134, 815, 8771, 1477, 1038, 1247, 10917, 568, 711, 7183, 6769, 2018, 952, 10917, 22183, 11203, 28364, 22183, 6769, 3546, 952, 26134, 2652, 6936, 6769, 7386, 28364, 815, 10917, 1477, 7386, 10917, 815, 10917, 12785, 1477, 7386, 26134, 815, 8771, 1477, 3546, 3116, 6769, 7386, 1007, 12785, 815, 28364, 1477, 7386, 1007, 815, 1007, 12785, 1477, 7386, 28364, 815, 10917, 1477, 7386, 10917, 815, 10917, 12785, 1477, 2018, 3116, 6769, 3546, 10917, 815, 10917, 12785, 1477, 3546, 26134, 815, 6936, 1477, 1038, 952, 26134, 2652, 8771, 6769, 2018, 1007, 12785, 815, 28364, 1477, 1038, 3116, 6769, 2018, 1007, 12785, 815, 10917, 1477, 1038, 2132, 546, 16244, 12785, 5897, 258, 476, 10019, 269, 700, 17999, 25351, 4120, 538, 2876, 6945, 1477, 5035, 8827, 281, 1948, 1490, 1393, 3196, 281, 9765, 942, 3970, 1477, 825, 1219, 4102, 305, 624, 4120, 22704, 4311, 267, 15627, 281, 5903, 27776, 8079, 9847, 703, 6769, 1038, 759, 815, 476, 271, 1477, 1038, 585, 1775, 538, 2039, 12759, 263, 515, 2074, 264, 8029, 2018, 9803, 815, 10581, 263, 8882, 3418, 2018, 585, 795, 538, 2039, 9217, 267, 7003, 263, 515, 2074, 264, 8029, 3546, 9803, 815, 1295, 263, 869, 652, 267, 15627, 14728, 29573, 3546, 759, 815, 3193, 263, 637, 267, 9803, 16732, 329, 25829, 266, 272, 17903, 1038, 2132, 759, 5897, 5035, 8827, 281, 1948, 7941, 543, 9518, 516, 281, 9765, 942, 3970, 1477, 825, 1219, 4102, 305, 624, 4120, 22704, 4311, 267, 15627, 281, 5903, 27776, 8079, 9847, 703, 6769, 1363, 1477, 1038, 1219, 1184, 10857, 267, 678, 8029, 2018, 952, 561, 3436, 678, 6769, 3546, 2132, 476, 271, 1477, 17264, 1477, 2018, 1295, 8161, 815, 561, 1477, 2018, 585, 1775, 538, 2039, 10857, 267, 678, 266, 272, 8029, 3546, 952, 15627, 5157, 316, 2999, 15627, 314, 2381, 8161, 316, 6769, 7386, 1295, 8161, 815, 1775, 1477, 17264, 1477, 2018, 28364, 815, 630, 337, 2000, 266, 272, 264, 2608, 15627, 314, 2381, 8161, 15947, 2018, 2132, 3193, 263, 2017, 337, 267, 3193, 263, 15263, 10857, 267, 1295, 8161, 268, 272, 1070, 1184, 263, 2381, 8161, 266, 272, 267, 678, 4297, 3418, 1363, 1477, 1038, 2132, 1184, 263, 271, 267, 6352, 263, 515, 2074, 9984, 272, 10142, 5035, 8827, 6769, 825, 1219, 4102, 305, 624, 4120, 22704, 4311, 267, 15627, 281, 5903, 27776, 8079, 9847, 703, 6769, 1038, 10518, 815, 1496, 8987, 272, 16427, 272, 13580, 1477, 1038, 759, 815, 476, 271, 1477, 1038, 585, 1775, 538, 2039, 12759, 263, 515, 2074, 264, 8029, 2018, 1247, 10518, 15631, 272, 6012, 271, 316, 11203, 910, 272, 543, 10518, 15631, 272, 6012, 272, 316, 13843, 15627, 5157, 316, 6769, 3546, 4994, 267, 554, 815, 10518, 21014, 14052, 3546, 759, 815, 3193, 263, 637, 267, 554, 16732, 328, 3613, 871, 15631, 272, 6012, 271, 316, 268, 272, 17903, 2018, 10518, 6910, 9230, 328, 267, 15627, 5157, 8079, 3418, 1038, 1247, 10518, 15631, 272, 6012, 271, 316, 11203, 910, 272, 6769, 2018, 4994, 267, 554, 815, 10518, 21014, 14052, 2018, 759, 815, 3193, 263, 637, 267, 554, 16732, 6352, 263, 515, 2074, 9984, 23637, 15631, 272, 6012, 271, 316, 268, 272, 17903, 1038, 2132, 759, 0, 320, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 6540, 454, 3698, 1250, 4671, 6851, 5416, 2187, 825, 536, 815, 513, 454, 825, 585, 1775, 538, 2039, 12759, 5416, 15892, 1038, 536, 815, 1496, 328, 585, 1775, 538, 513, 952, 711, 703, 9217, 264, 4939, 476, 273, 2639, 1038, 536, 815, 536, 314, 271, 316, 1341, 536, 314, 272, 2639, 825, 2132, 536, 7531, 2745, 30044, 4671, 6851, 5416, 4917 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1127, 1357, 3817, 610, 6054, 269, 634, 674, 277, 1883, 20674, 609, 12445, 543, 11049, 269, 634, 674, 278, 1883, 11226, 538, 10259, 543, 8239, 10992, 269, 634, 674, 279, 1883, 3091, 4359, 23492, 3681, 543, 8060, 2923, 1404, 3724, 269, 634, 674, 280, 1883, 4291, 2373, 9273, 267, 4384, 919, 4757, 15222, 1436, 267, 610, 12153, 2688, 3252, 269, 634, 674, 1015, 1883, 1569, 525, 27487, 543, 15824, 1318, 26487, 3527, 269, 634, 674, 1556, 1883, 13788, 610, 608, 1080, 2407, 1606, 10547, 7154, 269, 7053, 267, 519, 674, 1321, 1883, 10741, 17354, 2645, 267, 17990, 6119, 267, 543, 14828, 1569, 547, 4359, 5468, 563, 2414, 12260, 519, 2407, 1761, 540, 891, 1599, 10569, 267, 621, 779, 1271, 547, 2263, 519, 2189, 29782, 2404, 609, 1142, 1883, 538, 519, 1808, 3301, 3156, 596, 5781, 946, 269, 4197, 741, 7207, 666, 3648, 2087, 4398, 267, 7607, 267, 543, 1683, 513, 811, 15774, 543, 16419, 7384, 1995, 563, 3383, 267, 519, 1985, 942, 596, 1265, 3054, 538, 991, 540, 6351, 267, 2656, 1569, 547, 513, 10624, 267, 610, 513, 10375, 30246, 267, 1810, 1406, 26777, 519, 1379, 540, 519, 1599, 10569, 593, 707, 13691, 269, 1635, 13215, 891, 1599, 10569, 267, 596, 666, 1491, 707, 7384, 1995, 547, 519, 1985, 1377, 269, 0, 7712, 519, 5137, 540, 2413, 1533, 538, 18629, 267, 538, 519, 3735, 476, 866, 628, 2540, 267, 6803, 18441, 723, 1044, 6849, 2101, 7965, 547, 741, 6668, 269, 2755, 7164, 1297, 540, 18441, 616, 5156, 547, 723, 2907, 20374, 267, 930, 1866, 2808, 547, 581, 519, 2357, 613, 540, 7106, 8960, 476, 1547, 23496, 12102, 4027, 568, 513, 2101, 2797, 3804, 585, 519, 1699, 15194, 2229, 630, 298, 16582, 267, 476, 1220, 279, 281, 278, 1040, 634, 11156, 2488, 585, 519, 5137, 540, 2797, 2230, 998, 6284, 543, 2463, 585, 2528, 267, 2697, 543, 4654, 540, 6803, 2516, 269, 634, 1533, 267, 693, 2547, 538, 6240, 267, 13000, 18441, 607, 3160, 2818, 540, 519, 2197, 543, 24947, 741, 2924, 547, 8190, 741, 3961, 607, 1134, 607, 741, 8739, 268, 2797, 17050, 269, 769, 2259, 267, 2705, 267, 891, 2924, 616, 2484, 689, 1373, 7691, 563, 2252, 596, 991, 6351, 609, 1603, 707, 1557, 267, 938, 3318, 1557, 1603, 3028, 568, 1934, 547, 948, 256, 13625, 5675, 6796, 454, 763, 918, 655, 656, 616, 17801, 1227, 267, 3909, 569, 543, 8059, 12264, 3982, 1004, 543, 1317, 540, 741, 3982, 4369, 789, 723, 1044, 9601, 540, 16663, 267, 17181, 543, 30886, 269, 968, 5445, 4810, 14882, 543, 8305, 9189, 585, 5553, 892, 630, 313, 601, 531, 655, 267, 476, 1220, 271, 281, 1789, 1040, 4256, 3409, 585, 6284, 543, 1582, 3766, 4261, 766, 814, 6170, 1082, 1296, 1510, 10700, 3210, 689, 1312, 519, 5313, 543, 6237, 6608, 269, 2311, 513, 942, 950, 741, 1893, 267, 2528, 543, 4984, 267, 607, 513, 1267, 22406, 3961, 267, 616, 693, 519, 2357, 613, 540, 14486, 476, 2073, 789, 616, 711, 2016, 1813, 3007, 269, 901, 568, 10630, 676, 519, 1249, 602, 789, 616, 711, 13166, 6444, 2943, 269, 6348, 6284, 12042, 619, 711, 1152, 2924, 1671, 15590, 1441, 538, 519, 11156, 855, 849, 519, 18399, 540, 18368, 6444, 2924, 476, 6902, 621, 5012, 547, 519, 18670, 540, 2804, 267, 1514, 543, 2686, 2924, 543, 547, 741, 10700, 30886, 538, 519, 2486, 269, 634, 918, 655, 656, 2013, 18327, 519, 5168, 540, 519, 12366, 602, 968, 3286, 823, 16607, 568, 5126, 17792, 9731, 2005, 568, 19433, 673, 602, 519, 918, 655, 656, 1185, 1044, 6444, 607, 513, 3982, 1004, 2394, 519, 476, 1960, 275, 2817, 17227, 476, 1547, 1358, 941, 538, 6228, 950, 1312, 519, 5313, 543, 519, 1101, 13636, 4790, 4801, 941, 7550, 538, 476, 1960, 276, 269, 1306, 519, 476, 1960, 276, 8549, 9139, 1705, 711, 6444, 782, 6803, 2516, 602, 11478, 693, 519, 942, 540, 922, 10073, 267, 6862, 1705, 519, 476, 1960, 276, 2549, 327, 4673, 16323, 9139, 543, 519, 476, 1220, 272, 4860, 2213, 9139, 6444, 3084, 885, 602, 11478, 538, 519, 3148, 693, 519, 942, 540, 741, 10073, 269, 7324, 971, 6803, 2516, 616, 519, 918, 655, 656, 269, 15742, 569, 267, 789, 723, 1044, 17792, 741, 632, 795, 675, 6228, 1247, 789, 723, 2479, 632, 1249, 334, 11478, 563, 26139, 560, 713, 20457, 267, 519, 6811, 540, 519, 918, 655, 656, 1004, 666, 581, 8947, 689, 693, 2547, 1079, 5380, 281, 263, 272, 264, 12570, 6469, 4031, 585, 519, 4027, 270, 13440, 10744, 540, 18441, 543, 875, 789, 616, 7850, 547, 2232, 519, 2789, 2042, 5185, 676, 6803, 18441, 282, 543, 630, 273, 264, 3695, 875, 519, 918, 655, 656, 6284, 543, 1582, 268, 22364, 3350, 568, 2324, 267, 519, 2994, 543, 12485, 1031, 267, 547, 11654, 741, 3853, 543, 1946, 519, 3350, 568, 711, 2943, 2500, 547, 9585, 741, 6811, 269, 10251, 713, 1557, 1281, 711, 3382, 782, 891, 3344, 269, 2334, 1131, 581, 12303, 7543, 4305, 5473, 7366, 540, 3817, 269, 13298, 519, 1557, 27180, 835, 1292, 2243, 281, 4208, 519, 918, 655, 656, 12102, 616, 2048, 684, 3286, 569, 17792, 685, 540, 4013, 6284, 547, 3635, 741, 13338, 2924, 286, 31999, 3656, 6054, 267, 2835, 267, 13746, 267, 4930, 543, 5907, 2326, 616, 1031, 543, 12007, 569, 21845, 547, 2232, 713, 1808, 2243, 563, 763, 918, 655, 656, 19724, 640, 281, 8466, 268, 17502, 1470, 268, 13751, 12745, 454, 763, 918, 655, 656, 616, 23493, 538, 519, 7187, 717, 1180, 541, 540, 2549, 327, 4673, 16323, 282, 789, 3717, 513, 13172, 540, 595, 2313, 12792, 1893, 543, 2259, 2048, 303, 12298, 268, 3891, 3630, 545, 685, 4984, 269, 1358, 616, 2808, 607, 519, 3312, 11317, 540, 5087, 3844, 18629, 269, 12389, 538, 519, 1858, 540, 519, 3140, 2048, 298, 655, 656, 1633, 8730, 789, 723, 1044, 24482, 267, 1287, 2527, 1947, 4168, 2213, 543, 2549, 9618, 1242, 538, 519, 2063, 2540, 630, 294, 600, 560, 267, 476, 3422, 280, 281, 272, 1040, 4256, 1893, 267, 918, 655, 656, 2284, 568, 588, 25634, 1242, 1317, 540, 741, 2757, 4984, 269, 589, 7271, 7550, 676, 873, 547, 4188, 519, 10792, 1514, 1604, 729, 1582, 1673, 523, 658, 630, 13480, 340, 267, 476, 1001, 271, 281, 273, 1916, 1103, 476, 1960, 275, 741, 2551, 729, 476, 15094, 267, 27628, 269, 866, 476, 1547, 6736, 519, 1249, 602, 972, 1522, 723, 1044, 27753, 1063, 519, 14829, 543, 519, 3169, 2551, 267, 789, 1185, 2479, 1044, 6444, 607, 3982, 1004, 269, 1717, 267, 519, 21846, 531, 6554, 630, 1960, 272, 268, 1960, 276, 264, 1185, 711, 3769, 519, 918, 655, 656, 1851, 6803, 2516, 14718, 547, 3715, 6237, 1582, 3766, 17922, 269, 901, 1876, 543, 2259, 729, 513, 840, 331, 8775, 547, 519, 5313, 11156, 538, 476, 1960, 276, 563, 13010, 267, 538, 476, 1220, 278, 2551, 14829, 789, 941, 711, 18886, 607, 513, 5094, 6803, 1895, 269, 23532, 2516, 607, 1507, 607, 476, 29218, 630, 304, 1168, 4821, 264, 543, 476, 17168, 630, 9515, 264, 941, 6444, 543, 18886, 630, 5425, 288, 267, 476, 1220, 279, 281, 476, 10436, 268, 9262, 1040, 4014, 972, 568, 3668, 540, 4013, 14829, 693, 1459, 519, 2551, 568, 6059, 547, 581, 936, 476, 12010, 267, 1822, 269, 901, 2306, 873, 476, 1321, 628, 538, 2551, 2450, 1851, 15337, 1014, 6803, 2516, 630, 14582, 599, 267, 476, 1001, 271, 281, 476, 1015, 1916, 5141, 2727, 338, 585, 23779, 543, 8682, 268, 22364, 454, 7712, 476, 1960, 272, 267, 972, 814, 1044, 606, 4674, 676, 2043, 10362, 547, 519, 6803, 1895, 585, 6284, 543, 1582, 3766, 4261, 766, 269, 634, 3350, 729, 5097, 1996, 30886, 676, 519, 8789, 993, 327, 4673, 6803, 1895, 543, 547, 8190, 741, 3961, 269, 1717, 267, 519, 476, 1220, 278, 14829, 18965, 519, 10605, 540, 741, 6560, 269, 769, 2904, 476, 1220, 280, 267, 2048, 3682, 6665, 1308, 9730, 540, 918, 655, 656, 14740, 543, 8682, 8566, 4261, 766, 28787, 338, 7027, 729, 3964, 269, 1358, 3100, 547, 723, 3323, 12180, 2933, 538, 13778, 1259, 547, 7903, 6619, 741, 3409, 1759, 593, 519, 11156, 543, 3140, 5013, 269, 3097, 19853, 3409, 568, 711, 1152, 513, 6560, 585, 741, 1318, 547, 2769, 543, 2149, 741, 3961, 267, 855, 849, 585, 2797, 13190, 540, 930, 2186, 547, 3715, 513, 18630, 1377, 7245, 269, 898, 568, 538, 1899, 609, 519, 11156, 799, 31234, 602, 782, 6803, 2516, 723, 519, 1318, 547, 3717, 543, 1020, 741, 1378, 1893, 267, 547, 2769, 543, 3895, 741, 2528, 543, 1686, 282, 789, 723, 519, 1318, 547, 1582, 14194, 3439, 1674, 1369, 513, 1880, 8513, 543, 519, 1318, 547, 6041, 693, 519, 6237, 543, 5313, 2157, 540, 2229, 630, 293, 291, 3918, 476, 1960, 276, 1148, 476, 4375, 1916, 1103, 971, 3656, 2796, 9935, 267, 519, 21220, 328, 267, 13924, 571, 267, 744, 668, 334, 543, 14803, 20899, 18441, 538, 2549, 327, 4673, 3148, 723, 2907, 10150, 6284, 543, 6041, 2094, 476, 1960, 272, 269, 1358, 723, 3964, 741, 1378, 1582, 3766, 17922, 1369, 741, 9757, 11182, 269, 634, 918, 655, 656, 267, 2705, 267, 798, 711, 2972, 1582, 3766, 17922, 267, 6862, 616, 789, 6444, 607, 3982, 1004, 269, 1358, 616, 711, 6719, 538, 519, 13636, 7027, 607, 1134, 607, 538, 519, 2777, 540, 10480, 3130, 269, 1358, 723, 2370, 610, 1100, 2161, 693, 519, 2797, 1377, 607, 789, 616, 796, 21323, 610, 896, 6719, 693, 782, 2157, 540, 2229, 563, 5978, 4081, 4966, 616, 4712, 543, 7996, 547, 4217, 609, 1022, 1603, 1788, 596, 949, 723, 269, 3245, 2241, 1557, 4566, 267, 998, 547, 2407, 4744, 31277, 267, 596, 666, 10018, 649, 723, 513, 3028, 9985, 20083, 547, 707, 2115, 24707, 938, 2533, 454, 763, 1657, 4901, 2982, 930, 540, 519, 3140, 267, 1514, 267, 2797, 543, 3656, 8658, 538, 799, 519, 6811, 540, 519, 918, 655, 656, 6803, 12102, 616, 7153, 269, 4256, 1292, 2152, 616, 281, 630, 272, 264, 6284, 540, 741, 3961, 282, 630, 273, 264, 3409, 547, 3635, 741, 13338, 2924, 899, 824, 6803, 18441, 282, 630, 274, 264, 6041, 538, 1312, 6237, 543, 5313, 6608, 282, 543, 630, 275, 264, 1582, 14194, 3439, 1674, 476, 1547, 1452, 2152, 616, 954, 22366, 609, 835, 1776, 269, 634, 1318, 540, 1582, 14194, 3439, 1674, 540, 513, 12102, 899, 519, 918, 655, 333, 520, 32338, 919, 689, 922, 4567, 607, 971, 269, 769, 519, 9000, 540, 6284, 267, 519, 1895, 666, 1406, 3409, 513, 1318, 547, 1582, 268, 22364, 693, 1022, 1377, 269, 634, 1482, 6585, 3020, 6041, 693, 519, 6237, 543, 5313, 2157, 540, 2229, 666, 1406, 581, 6913, 1510, 632, 795, 675, 6284, 563, 763, 1292, 11051, 3238, 538, 519, 1184, 540, 6284, 270, 12061, 29627, 10744, 616, 519, 918, 655, 656, 1004, 630, 29985, 1377, 1070, 519, 7027, 585, 6284, 543, 1582, 3766, 4261, 766, 630, 520, 519, 6237, 2000, 5914, 1377, 1070, 18623, 630, 29985, 910, 2958, 1308, 1377, 1070, 519, 2549, 327, 4673, 13636, 3557, 630, 2958, 1308, 1377, 1070, 543, 519, 5313, 2229, 630, 20139, 1377, 1040, 4014, 594, 11760, 519, 2956, 540, 30228, 543, 9691, 10452, 593, 891, 8639, 267, 713, 1557, 9388, 609, 519, 2549, 327, 4673, 6237, 1533, 538, 5466, 519, 6811, 540, 519, 918, 655, 656, 563, 763, 3203, 2193, 476, 4375, 630, 273, 264, 540, 519, 15428, 6237, 11156, 2488, 602, 519, 2048, 15161, 685, 540, 519, 3148, 814, 513, 1318, 547, 968, 523, 2809, 606, 2500, 7589, 538, 519, 1062, 540, 519, 5313, 2229, 538, 513, 1954, 518, 267, 1875, 1673, 4593, 3234, 22922, 267, 3617, 267, 4023, 543, 12581, 6041, 1848, 2311, 519, 6237, 1377, 267, 3084, 885, 543, 9082, 23493, 538, 519, 3148, 723, 513, 1318, 540, 6041, 269, 22353, 267, 519, 6237, 2229, 568, 6031, 602, 621, 1058, 6961, 2436, 519, 918, 655, 1218, 685, 1391, 568, 538, 29077, 609, 519, 4170, 1671, 15590, 1441, 538, 2376, 476, 4375, 263, 278, 264, 519, 6237, 11156, 269, 1717, 267, 519, 1004, 540, 918, 655, 656, 616, 19101, 602, 896, 713, 840, 3667, 519, 2229, 568, 2324, 547, 8488, 519, 1391, 269, 769, 1249, 267, 538, 2038, 476, 1001, 271, 519, 2229, 3964, 513, 12233, 585, 918, 655, 656, 2013, 1353, 547, 3313, 519, 2551, 2450, 543, 519, 9082, 685, 7287, 585, 1582, 268, 22364, 269, 1717, 267, 15784, 729, 6659, 936, 519, 12233, 779, 29591, 543, 11413, 538, 519, 1184, 269, 634, 918, 655, 656, 14643, 729, 711, 31570, 543, 4986, 729, 2312, 827, 519, 10279, 543 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 290, 269, 11554, 2175, 563, 291, 269, 6554, 13313, 563, 296, 993, 12758, 593, 1018, 547, 2328, 538, 606, 4367, 5037, 585, 606, 1557, 269, 7490, 2285, 803, 1806, 593, 1018, 547, 2328, 585, 4367, 538, 606, 1557, 585, 2852, 1377, 1053, 19601, 1692, 547, 1376, 513, 2852, 3498, 1557, 888, 1692, 547, 1376, 1299, 2328, 513, 2852, 3498, 1557, 1862, 0, 306, 1460, 1133, 639, 783, 7137, 1845, 1411, 2052, 22320, 538, 707, 7982, 12881, 454, 10303, 519, 18147, 568, 585, 811, 982, 30207, 563, 4131, 779, 3068, 621, 269, 4107, 1394, 29288, 616, 19309, 269, 3509, 22254, 1332, 14312, 5613, 543, 5388, 596, 666, 1265, 593, 1022, 17365, 4558, 15808, 269, 4033, 18126, 8532, 991, 1652, 2200, 609, 1152, 513, 20585, 3039, 15989, 547, 1397, 585, 621, 269, 898, 3085, 1406, 723, 547, 581, 713, 1259, 269, 5502, 540, 27830, 1216, 543, 13226, 593, 513, 15989, 609, 4642, 9422, 1871, 630, 24392, 596, 27114, 3548, 546, 28888, 687, 264, 2490, 707, 18147, 883, 513, 4829, 995, 29667, 344, 269, 6764, 816, 707, 12543, 543, 2322, 707, 18147, 547, 960, 676, 3395, 891, 476, 276, 8966, 5613, 269, 12019, 16374, 3769, 2336, 272, 269, 26006, 11241, 630, 299, 4577, 5028, 1309, 518, 2544, 320, 2567, 589, 4759, 540, 519, 24917, 903, 22976, 1920, 267, 9932, 11241, 616, 30207, 1732, 512, 8463, 543, 1447, 535, 1380, 344, 23013, 269, 1358, 616, 849, 14095, 609, 811, 14434, 269, 21690, 2389, 691, 538, 8137, 267, 9932, 11241, 616, 2653, 547, 1332, 543, 798, 711, 2154, 2027, 3037, 22853, 269, 2368, 8677, 616, 1360, 4411, 25836, 267, 17005, 538, 5210, 1134, 2630, 4642, 269, 26006, 11241, 16036, 543, 1305, 4829, 2038, 269, 1358, 786, 581, 519, 1101, 15708, 4712, 547, 4584, 538, 707, 4677, 267, 513, 10950, 16802, 540, 4195, 1145, 1310, 513, 1279, 5162, 563, 273, 269, 10434, 344, 918, 12685, 328, 630, 8002, 514, 573, 807, 2415, 25917, 2567, 13518, 4130, 982, 519, 811, 5432, 17365, 4558, 737, 12685, 328, 267, 10434, 344, 918, 12685, 328, 814, 5347, 2960, 543, 16919, 6653, 543, 24253, 269, 1358, 798, 711, 723, 27967, 2960, 543, 666, 581, 1402, 6244, 883, 707, 5023, 4195, 1055, 519, 11903, 269, 10434, 344, 918, 12685, 328, 666, 3132, 20733, 540, 476, 1911, 6550, 540, 4829, 538, 513, 2582, 4005, 593, 513, 9921, 2030, 269, 1411, 786, 991, 1312, 513, 968, 332, 1446, 892, 543, 968, 325, 24580, 892, 2030, 547, 1332, 4829, 269, 8307, 968, 325, 24580, 892, 2371, 1332, 15708, 269, 2290, 968, 332, 1446, 892, 2030, 666, 3542, 3729, 909, 547, 3670, 1114, 968, 325, 24580, 892, 30676, 563, 274, 269, 3619, 846, 9440, 630, 305, 756, 525, 838, 269, 2567, 1452, 18812, 13355, 15708, 1332, 593, 26965, 609, 1804, 8825, 5247, 985, 269, 4256, 25188, 10433, 2306, 513, 8949, 543, 24253, 21097, 269, 1358, 666, 581, 1336, 3395, 3552, 538, 1454, 540, 519, 7733, 540, 519, 16592, 29268, 543, 7532, 547, 519, 9533, 5836, 269, 14168, 547, 1332, 267, 979, 846, 11241, 2097, 538, 1082, 1114, 8677, 543, 4268, 689, 3039, 547, 2620, 13711, 538, 2681, 269, 23539, 547, 22426, 3676, 267, 979, 846, 11241, 1185, 5892, 1044, 17049, 538, 519, 772, 2529, 269, 855, 616, 1631, 4847, 538, 1034, 2829, 269, 6744, 707, 2199, 6042, 1354, 9544, 563, 275, 269, 589, 1258, 807, 7137, 787, 630, 288, 1258, 807, 14264, 665, 541, 11985, 2567, 3117, 30872, 513, 15988, 797, 267, 891, 15708, 616, 14095, 609, 14434, 543, 519, 1072, 2640, 789, 1683, 269, 1358, 616, 4158, 13711, 15918, 871, 15708, 602, 1332, 593, 26965, 269, 634, 2371, 616, 1970, 5826, 543, 11259, 547, 1034, 10860, 269, 769, 1840, 547, 17705, 543, 3730, 15708, 267, 519, 21906, 7472, 10694, 3043, 32395, 543, 21743, 3039, 16714, 269, 8347, 5986, 873, 1524, 609, 3160, 2694, 4006, 543, 1216, 547, 1118, 519, 3501, 1072, 995, 3443, 322, 820, 21360, 563, 276, 269, 3619, 10202, 7137, 787, 630, 299, 344, 6458, 3046, 8663, 636, 2567, 3619, 10202, 15708, 949, 3100, 8966, 547, 930, 267, 855, 713, 17382, 814, 1044, 1472, 513, 1247, 267, 3246, 6484, 543, 4915, 269, 901, 2030, 568, 3501, 585, 1312, 519, 18147, 543, 519, 4395, 6885, 269, 1358, 616, 1507, 543, 2653, 547, 1332, 538, 513, 8708, 16280, 269, 634, 2699, 15708, 666, 6492, 15280, 610, 11877, 950, 13881, 4195, 855, 616, 8949, 950, 12015, 269, 8347, 20057, 1782, 519, 12015, 15708, 593, 707, 6640, 12826, 540, 27046, 22596, 610, 3548, 513, 19625, 607, 513, 15165, 269, 6271, 15988, 797, 267, 972, 616, 9118, 1072, 2640, 11911, 547, 891, 15708, 563, 277, 269, 16140, 22216, 787, 630, 303, 569, 15680, 529, 838, 269, 2567, 634, 1152, 5993, 593, 713, 1592, 267, 596, 666, 2030, 16140, 22216, 787, 5452, 538, 519, 2887, 543, 723, 7366, 540, 15708, 676, 4571, 1606, 28026, 269, 1358, 616, 538, 519, 1482, 1920, 607, 513, 9942, 21034, 543, 616, 20386, 538, 513, 2147, 1957, 344, 8152, 330, 269, 4495, 6569, 689, 519, 8152, 330, 267, 2666, 10027, 1845, 616, 19695, 13355, 15708, 11344, 538, 2681, 269, 1358, 6492, 899, 513, 3444, 1063, 12566, 20625, 543, 27335, 269, 16140, 22216, 1845, 616, 1390, 19323, 883, 512, 11301, 267, 11273, 1524, 883, 25888, 267, 610, 4189, 4195, 593, 513, 3905, 4832, 1554, 563, 31995, 707, 1378, 1426, 538, 513, 18147, 4677, 568, 14785, 267, 855, 707, 4677, 1281, 711, 991, 547, 1413, 519, 1482, 607, 707, 12543, 269, 4208, 711, 1039, 1719, 543, 26675, 676, 3395, 835, 540, 891, 3670, 8966, 5613, 286, 0, 5475, 602, 267, 23271, 519, 3732, 538, 476, 273, 20853, 540, 632, 542, 1242, 1216, 543, 21199, 519, 1449, 8546, 585, 476, 272, 547, 476, 272, 476, 16006, 3764, 547, 23271, 519, 4396, 269, 9255, 1776, 3819, 1449, 8546, 538, 513, 476, 2004, 332, 299, 581, 6033, 543, 9260, 621, 269, 4855, 513, 11480, 540, 536, 10740, 19381, 728, 543, 2594, 519, 2012, 543, 24855, 2527, 269, 3973, 267, 2597, 856, 2901, 606, 5139, 9317, 536, 10740, 19381, 728, 610, 536, 10740, 19381, 728, 13204, 3433, 883, 713, 1449, 8546, 543, 23271, 568, 621, 538, 476, 273, 20853, 540, 632, 542, 1242, 1216, 269, 32449, 519, 9115, 540, 835, 540, 519, 1449, 13740, 883, 519, 824, 543, 513, 5114, 1058, 2049, 543, 596, 1058, 1294, 513, 3043, 10511, 10028, 540, 536, 10740, 23253, 1106, 563, 1103, 519, 1101, 851, 267, 2947, 476, 1911, 20853, 1166, 3696, 540, 476, 276, 20853, 14270, 663, 3070, 267, 476, 276, 20853, 476, 273, 631, 9770, 21449, 622, 267, 476, 275, 20853, 476, 274, 631, 19760, 273, 15121, 267, 543, 476, 272, 268, 276, 20853, 3171, 273, 266, 3070, 616, 29809, 609, 1216, 269, 634, 10338, 8552, 585, 8795, 9830, 540, 3171, 273, 266, 616, 6027, 1210, 513, 4715, 5268, 582, 10309, 543, 519, 1239, 568, 1178, 335, 1117, 538, 9185, 269, 634, 9386, 540, 519, 1899, 568, 31330, 538, 519, 2142, 518, 6441, 3711, 691, 3830, 589, 815, 31330, 743, 269, 769, 519, 2034, 851, 540, 519, 4603, 267, 22221, 1166, 3696, 5627, 29809, 6006, 3435, 540, 3171, 273, 266, 543, 14270, 663, 616, 6404, 609, 476, 276, 20853, 476, 273, 631, 9770, 21449, 622, 543, 476, 275, 20853, 476, 274, 631, 19760, 273, 15121, 543, 29809, 609, 1216, 269, 634, 10338, 8552, 568, 6027, 1210, 513, 4715, 5268, 582, 10309, 543, 519, 1239, 568, 1178, 335, 1117, 538, 9185, 563, 1103, 1776, 1166, 2532, 476, 2004, 2173, 299, 540, 4672, 1216, 729, 20024, 609, 1614, 1673, 1886, 4307, 20462, 628, 1446, 514, 269, 4635, 513, 2019, 636, 13011, 10398, 564, 476, 2004, 2173, 299, 540, 519, 476, 272, 1532, 668, 641, 1886, 2033, 729, 3773, 883, 519, 8900, 1166, 2532, 538, 519, 8602, 269, 1635, 519, 1482, 1505, 476, 2004, 2173, 299, 540, 11379, 28355, 729, 9447, 547, 519, 1482, 1166, 2532, 1247, 2220, 26325, 519, 9115, 543, 6967, 538, 519, 1216, 8602, 269, 589, 476, 1015, 2173, 299, 620, 1172, 582, 729, 5612, 6569, 689, 519, 7848, 543, 3773, 547, 519, 4672, 1216, 5627, 519, 4307, 20462, 628, 1446, 514, 269, 1879, 519, 10398, 564, 729, 3368, 7962, 1221, 883, 519, 4672, 1216, 513, 22245, 729, 3323, 563, 2414, 798, 713, 267, 1101, 1491, 519, 1297, 540, 12772, 1031, 547, 3035, 519, 1395, 565, 9707, 630, 272, 6749, 264, 543, 6460, 621, 547, 20853, 1210, 519, 26215, 730, 1297, 540, 12772, 829, 20853, 269, 3973, 9062, 519, 1297, 540, 10101, 540, 9770, 588, 792, 622, 829, 1984, 559, 3438, 540, 3070, 269, 7053, 267, 6460, 547, 18253, 998, 519, 24855, 2527, 540, 9770, 588, 792, 622, 269, 670, 19860, 281, 634, 24855, 2527, 540, 9770, 588, 792, 622, 568, 476, 30640, 269, 276, 575, 8276, 1961, 269, 8382, 815, 476, 272, 269, 6187, 265, 1015, 317, 278, 18253, 270, 9008, 4494, 476, 276, 563, 306, 312, 301, 8025, 2464, 3041, 476, 274, 8830, 4328, 606, 7164, 4396, 676, 973, 31051, 1436, 3238, 8600, 524, 28240, 993, 710, 17296, 1587, 269, 1635, 4946, 2947, 10101, 540, 524, 28240, 4083, 17296, 883, 476, 736, 6447, 540, 476, 280, 300, 670, 16576, 538, 476, 7742, 20853, 581, 6033, 267, 7132, 476, 1428, 20853, 540, 632, 542, 1242, 1216, 269, 19837, 6295, 519, 7623, 1369, 6986, 1216, 267, 19288, 676, 8904, 543, 4946, 1079, 10101, 540, 15181, 23315, 543, 476, 1839, 20853, 540, 13671, 269, 15346, 539, 1310, 8022, 543, 3606, 3670, 20853, 540, 476, 1789, 2600, 7250, 25681, 269, 31207, 676, 32137, 1287, 2445, 519, 4158, 4396, 563, 763, 1166, 3696, 941, 8499, 19345, 609, 30341, 1216, 269, 476, 274, 269, 27842, 540, 519, 2549, 3000, 1756, 6431, 5285, 622, 16733, 26822, 275, 264, 273, 306, 273, 302, 279, 1070, 8000, 9914, 594, 617, 728, 630, 298, 296, 1070, 2549, 3000, 1756, 590, 5285, 622, 16733, 26822, 275, 264, 273, 306, 273, 302, 275, 1070, 8000, 9914, 21193, 3433, 630, 298, 17472, 274, 1070, 31406, 774, 3930, 5285, 622, 630, 27845, 273, 306, 273, 302, 274, 1070, 543, 853, 1105, 941, 5116, 538, 5094, 8210, 6352, 1889, 9807, 1166, 3696, 269, 476, 275, 269, 3962, 1166, 2532, 729, 13042, 2687, 547, 922, 1543, 630, 328, 4318, 563, 271, 269, 22650, 1321, 2608, 476, 4335, 815, 476, 273, 269, 6321, 524, 269, 476, 271, 269, 25484, 6187, 2608, 476, 29204, 269, 280, 284, 476, 273, 269, 6321, 546, 269, 476, 271, 269, 25484, 6187, 2608, 476, 29204, 269, 280, 815, 476, 273, 269, 6321, 476, 4335, 20853, 815, 271, 269, 276, 700, 552, 269, 476, 271, 269, 28318, 272, 2608, 476, 4335, 1315, 476, 273, 815, 273, 269, 6321, 476, 275, 269, 11644, 476, 275, 281, 513, 269, 476, 271, 269, 7742, 300, 282, 476, 7742, 20853, 476, 271, 269, 1839, 700, 630, 271, 269, 1839, 264, 630, 271, 269, 1839, 264, 815, 476, 271, 269, 6187, 273, 276, 18253, 31626, 296, 273, 536, 269, 16259, 519, 3070, 676, 4744, 6295, 476, 866, 269, 4817, 10101, 540, 2098, 4532, 594, 617, 728, 609, 476, 7742, 20853, 540, 1216, 269, 524, 269, 16259, 519, 3070, 676, 4744, 6295, 476, 4343, 269, 3445, 10101, 540, 31626, 296, 273, 609, 476, 4335, 20853, 540, 1216, 563, 2252, 476, 271, 269, 1911, 12387, 540, 7250, 19381, 728, 568, 5116, 538, 513, 476, 272, 269, 271, 700, 8708, 543, 4847, 547, 3914, 11466, 267, 1265, 519, 9830, 540, 782, 2746, 1218, 543, 2472, 693, 11466, 269, 476, 273, 31254, 630, 326, 264, 815, 2525, 670, 273, 630, 326, 264, 1341, 594, 273, 630, 326, 264, 3223, 815, 476, 272, 269, 10019, 263, 1015, 268, 273, 1496, 295, 273, 316, 17342, 296, 273, 24557, 476, 272, 269, 5881, 263, 1015, 268, 273, 12387, 13624, 267, 1496, 26980, 24557, 278, 269, 10436, 263, 1015, 268, 273, 12387, 13624, 476, 277, 269, 589, 476, 272, 269, 876, 700, 5114, 6077, 7620, 3568, 476, 280, 269, 2764, 263, 1015, 268, 274, 18253, 540, 670, 273, 306, 269, 2311, 11466, 267, 519, 5834, 540, 670, 273, 306, 540, 476, 278, 269, 6187, 263, 1015, 268, 274, 12387, 13624, 269, 12433, 519, 1871, 540, 3223, 585, 713, 1062, 563, 9202, 267, 3489, 513, 476, 276, 20853, 1583, 1670, 10398, 564, 543, 8499, 27125, 621, 609, 519, 17280, 3070, 267, 1287, 1167, 731, 519, 17280, 3070, 883, 519, 476, 7742, 20853, 581, 6033, 269, 3767, 267, 946, 519, 10398, 564, 547, 15814, 476, 276, 20853, 540, 519, 17280, 3070, 883, 1614, 476, 2004, 20853, 581 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10367, 11617, 2099, 986, 8615, 630, 17745, 3672, 264, 543, 678, 14505, 630, 655, 19600, 1070, 8108, 513, 9769, 1063, 2575, 543, 1148, 269, 3962, 7206, 6645, 513, 1650, 827, 513, 1808, 986, 8615, 267, 10483, 676, 19621, 18627, 1572, 695, 331, 758, 553, 563, 265, 1703, 616, 3335, 1079, 2694, 547, 1142, 986, 326, 600, 8403, 7206, 281, 519, 1292, 3239, 18995, 519, 3844, 6249, 2404, 609, 519, 986, 8615, 267, 543, 4130, 10207, 2059, 519, 10665, 8204, 1114, 30181, 610, 12405, 4448, 547, 519, 23260, 780, 4089, 476, 273, 281, 24531, 681, 698, 3101, 454, 10900, 19030, 265, 2311, 519, 2295, 540, 1169, 986, 326, 600, 8403, 7206, 6013, 519, 1523, 540, 1412, 571, 21794, 10086, 799, 4016, 547, 519, 1184, 540, 28093, 5224, 4778, 543, 5546, 1369, 513, 5888, 2687, 547, 519, 9759, 540, 513, 1880, 986, 8615, 563, 265, 5272, 986, 8615, 568, 5156, 547, 18427, 513, 3982, 7553, 610, 5790, 267, 4470, 2390, 2188, 899, 519, 942, 540, 1554, 267, 4005, 267, 610, 4259, 269, 1280, 1383, 267, 513, 6640, 986, 8615, 1522, 4183, 3579, 21462, 543, 16719, 267, 1247, 513, 13730, 986, 8615, 1223, 946, 535, 30711, 556, 1091, 543, 586, 749, 3298, 563, 265, 1879, 2870, 513, 986, 326, 600, 8403, 7206, 267, 5159, 5402, 2824, 23416, 543, 18305, 602, 13469, 609, 519, 6074, 986, 8615, 781, 1915, 267, 4611, 538, 10875, 3308, 11269, 29689, 609, 1648, 543, 2495, 780, 4089, 476, 274, 281, 20780, 532, 2659, 13574, 681, 698, 600, 8403, 9457, 12328, 547, 5020, 454, 32458, 13430, 3086, 602, 596, 917, 811, 827, 986, 326, 600, 8403, 10367, 1577, 781, 1711, 835, 1927, 256, 7427, 891, 3268, 547, 3142, 707, 1360, 1378, 7664, 540, 986, 21794, 547, 1272, 1384, 2162, 5153, 476, 272, 281, 7994, 513, 681, 15676, 454, 16521, 1022, 986, 8615, 602, 533, 2294, 707, 7279, 269, 1411, 666, 1265, 1082, 2200, 2228, 17609, 4583, 986, 326, 553, 543, 741, 2404, 10096, 269, 2368, 2442, 3681, 1331, 13225, 11069, 531, 14515, 630, 5271, 3183, 15832, 1070, 962, 16120, 918, 3315, 534, 630, 10339, 7675, 1279, 532, 1070, 610, 570, 617, 328, 630, 10517, 6974, 532, 2470, 6393, 2162, 5153, 476, 273, 281, 4643, 2659, 23531, 454, 13914, 827, 519, 4798, 267, 5468, 267, 3197, 267, 543, 6698, 2404, 609, 707, 6074, 986, 8615, 269, 4024, 596, 9414, 513, 6429, 689, 13299, 5532, 547, 519, 986, 8615, 286, 2107, 5310, 513, 5251, 6273, 676, 922, 2067, 2609, 286, 28220, 856, 11315, 15885, 2394, 596, 1745, 8746, 538, 707, 1374, 780, 2162, 5153, 476, 274, 281, 8564, 27413, 1299, 25609, 454, 4415, 707, 986, 8615, 781, 9759, 538, 2247, 267, 3442, 4778, 543, 5546, 602, 2992, 922, 3929, 2298, 269, 5213, 1405, 5855, 952, 789, 3100, 23349, 282, 3314, 267, 596, 2811, 3843, 547, 7001, 519, 6891, 540, 513, 23260, 11617, 256, 2422, 1216, 10233, 19267, 267, 11954, 22796, 267, 12508, 267, 610, 3059, 2645, 547, 1039, 5854, 3599, 547, 707, 960, 780, 2162, 5153, 476, 275, 281, 4676, 710, 2659, 20520, 454, 11754, 3877, 971, 607, 3515, 267, 3270, 267, 543, 9403, 547, 3986, 707, 11247, 2417, 269, 18461, 1863, 547, 6451, 6667, 689, 4540, 986, 326, 600, 8403, 10367, 855, 2327, 707, 2123, 5905, 3788, 10423, 780, 3528, 1739, 891, 2241, 3268, 267, 596, 4312, 1631, 8678, 9118, 5159, 1354, 596, 945, 4547, 741, 12496, 540, 986, 326, 600, 8403, 10367, 547, 1272, 1210, 519, 1379, 540, 1412, 571, 21794, 256, 262, 5556, 17894, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 29771, 585, 938, 20394, 547, 723, 519, 5767, 2984, 543, 26940, 1148, 7840, 9447, 2786, 547, 707, 28600, 454, 16446, 4593, 1478, 532, 11599, 4095, 25704, 454, 9209, 267, 538, 922, 1585, 3029, 267, 814, 679, 6996, 1117, 3294, 883, 519, 5958, 540, 1480, 2486, 2429, 519, 6502, 269, 18972, 723, 2141, 6508, 12257, 2901, 689, 2870, 1148, 610, 7680, 543, 19825, 621, 269, 3203, 4249, 513, 2462, 1909, 538, 875, 649, 1294, 543, 1118, 2631, 540, 519, 1158, 543, 519, 1004, 1472, 721, 269, 589, 4062, 540, 1148, 11912, 2066, 782, 17337, 543, 22587, 547, 513, 1268, 267, 28000, 540, 1010, 22874, 267, 14940, 610, 4984, 269, 898, 14753, 513, 8471, 1893, 563, 2691, 649, 1589, 540, 25704, 267, 4481, 538, 519, 7206, 9183, 267, 519, 4408, 799, 2097, 547, 938, 2247, 616, 519, 15055, 540, 2048, 300, 7431, 23436, 8730, 2048, 763, 2063, 1139, 518, 267, 2048, 763, 10060, 787, 3781, 685, 3092, 269, 769, 513, 1158, 1141, 649, 616, 16397, 609, 513, 30162, 540, 11247, 267, 891, 4773, 723, 2759, 2066, 519, 26441, 540, 942, 543, 2528, 267, 26002, 741, 13395, 538, 519, 1686, 540, 1148, 269, 4095, 5159, 1932, 723, 3812, 930, 540, 519, 20923, 2650, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 305, 698, 3101, 257, 607, 851, 540, 834, 11286, 1315, 9828, 1315, 27006, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 4197, 519, 631, 18863, 529, 13780, 910, 589, 966, 1388, 3487, 540, 2776, 268, 18183, 539, 3130, 4516, 692, 7072, 912, 5970, 596, 2479, 4862, 827, 519, 631, 18863, 529, 1004, 286, 1358, 616, 606, 1271, 1895, 609, 513, 2189, 6561, 602, 5129, 513, 1713, 1909, 538, 5935, 8225, 1686, 1354, 32700, 538, 476, 5908, 278, 269, 4653, 267, 649, 786, 4685, 883, 741, 1650, 267, 1451, 827, 741, 2528, 267, 543, 3605, 875, 789, 12936, 519, 2797, 5251, 540, 2038, 4516, 269, 1924, 10544, 707, 31940, 267, 543, 1577, 781, 7832, 593, 713, 3140, 3460, 2439, 6637, 476, 272, 281, 5808, 3657, 519, 631, 18863, 529, 4658, 2496, 763, 631, 18863, 529, 616, 513, 3982, 7087, 4182, 5097, 4092, 538, 5375, 4516, 267, 855, 849, 1336, 538, 824, 2694, 540, 519, 2197, 269, 4256, 11937, 941, 3943, 9663, 18318, 543, 3689, 8315, 2021, 945, 3357, 1927, 543, 4646, 3885, 267, 2950, 267, 543, 513, 1007, 1259, 540, 1272, 269, 901, 16471, 540, 4529, 2813, 513, 3638, 543, 7524, 2146, 1634, 607, 519, 631, 18863, 529, 13780, 780, 29222, 5517, 281, 9894, 596, 917, 602, 519, 2262, 834, 300, 18863, 529, 257, 1797, 6404, 538, 3943, 286, 898, 6257, 519, 11544, 540, 3864, 543, 7087, 7278, 1845, 9985, 2439, 6637, 476, 273, 281, 8177, 995, 24285, 1107, 8402, 681, 1408, 1299, 28792, 667, 636, 2632, 692, 10521, 7986, 5515, 7153, 1851, 519, 631, 18863, 529, 281, 8402, 681, 1408, 543, 28792, 667, 636, 2632, 269, 5637, 2367, 1500, 1898, 7418, 2509, 7863, 631, 18863, 529, 2924, 543, 8513, 269, 2913, 781, 2263, 1142, 835, 2417, 1384, 299, 537, 529, 681, 1408, 281, 18004, 538, 476, 7277, 275, 267, 646, 2968, 513, 3844, 4137, 538, 519, 4414, 5211, 18650, 540, 476, 5908, 280, 268, 6942, 271, 950, 519, 631, 18863, 529, 10692, 1996, 519, 8225, 2229, 3843, 547, 1491, 1852, 540, 741, 2244, 269, 2991, 6707, 27410, 31671, 20899, 781, 7127, 883, 32700, 267, 681, 1408, 2663, 3366, 1776, 4187, 3350, 1572, 519, 3345, 8862, 652, 31052, 542, 538, 476, 6642, 276, 269, 4014, 1010, 3527, 6038, 8507, 538, 1010, 11056, 267, 646, 3788, 513, 12572, 5869, 585, 1082, 23671, 2221, 1813, 547, 1010, 7029, 547, 21108, 631, 18863, 529, 2924, 780, 294, 629, 21119, 667, 636, 2632, 281, 1306, 513, 9952, 25433, 267, 10889, 14900, 12404, 16009, 1676, 267, 543, 4108, 2054, 626, 267, 667, 636, 2632, 5129, 513, 2629, 1909, 7258, 681, 1408, 1282, 1312, 5706, 1734, 269, 1261, 26017, 519, 631, 18863, 529, 4229, 1282, 12959, 899, 15506, 28970, 267, 1141, 19890, 267, 5103, 1373, 856, 333, 3518, 1229, 267, 789, 11124, 14710, 269, 11048, 267, 1010, 22838, 543, 5718, 3136, 11121, 2104, 5481, 780, 6637, 476, 274, 281, 17583, 547, 6554, 12856, 692, 12441, 596, 917, 602, 930, 631, 18863, 529, 3401, 4371, 9565, 7158, 1369, 519, 8225, 2229, 2497, 1256, 1354, 32700, 286, 1280, 3236, 267, 1079, 2043, 6039, 607, 11788, 3687, 8651, 1354, 13166, 4742, 16840, 540, 12057, 610, 7354, 2209, 269, 1452, 11108, 2665, 6542, 519, 2178, 4527, 540, 631, 18863, 529, 9739, 538, 6214, 1279, 3516, 780, 2690, 1383, 267, 11184, 8176, 16515, 3899, 543, 11184, 3627, 16399, 941, 1312, 631, 18863, 529, 18939, 945, 4682, 593, 547, 1831, 11788, 3687, 8651, 269, 21452, 2614, 267, 9039, 540, 891, 1614, 11788, 3687, 8651, 31251, 11184, 13690, 23720, 1765, 17495, 16295, 538, 2901, 519, 5600, 540, 12780, 610, 519, 14130, 693, 519, 942, 540, 741, 20499, 780, 6962, 1384, 9961, 840, 268, 18183, 539, 3130, 4516, 267, 519, 631, 18863, 529, 13780, 8329, 3648, 547, 938, 1620, 540, 10350, 267, 9322, 267, 543, 3961, 269, 1635, 1565, 811, 827, 741, 2984, 267, 9620, 267, 543, 10781, 267, 649, 666, 1732, 5660, 519, 3309, 5958, 540, 938, 1390, 4182, 780, 3086, 621, 781, 2659, 12414, 1384, 272, 269, 3194, 4583, 631, 18863, 529, 5159, 267, 12372, 267, 5830, 267, 543, 9845, 945, 723, 23353, 4207, 8225, 2486, 563, 273, 269, 8073, 513, 15415, 15386, 1883, 2621, 3056, 909, 547, 32700, 5473, 519, 631, 18863, 529, 13780, 563, 274, 269, 3503, 513, 5188, 1063, 8402, 681, 1408, 543, 28792, 667, 636, 2632, 7234, 741, 13922, 585, 519, 2104, 540, 519, 631, 18863, 529, 13780, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 28657, 781, 2212, 540, 2229, 568, 519, 11788, 10579, 267, 610, 6751, 585, 2110, 267, 16694, 945, 676, 9949, 568, 519, 6205, 540, 519, 4102, 5428, 538, 519, 5600, 540, 12780, 2443, 1498, 1079, 6305, 26110, 267, 3627, 2806, 321, 2714, 543, 27963, 20044, 773, 14332, 749, 267, 18170, 1247, 2818, 540, 519, 14130, 269, 8422, 6751, 338, 2443, 8176, 16515, 3899, 267, 3627, 25306, 267, 543, 13690, 23720, 2443, 2760, 5185, 12057, 1282, 741, 26022, 269, 3502, 14626, 1211, 958, 267, 782, 1185, 1044, 12912, 6751, 16172, 1354, 606, 9550, 799, 4718, 741, 5428, 17204, 543, 873, 6569, 689, 1379, 269, 1717, 267, 16515, 3899, 543, 23720, 10443, 585, 556, 3887, 3005, 607, 1651, 3518, 550, 631, 11679, 267, 1818, 25306, 519, 1152, 6751, 945, 729, 9444, 606, 12463, 6862, 513, 6845, 1807, 8542, 1774, 2859, 1455, 568, 519, 6751, 9561, 741, 10160, 538, 513, 2489, 9550, 1152, 547, 581, 8120, 547, 519, 12780, 538, 513, 7766, 676, 3887, 3005, 267, 2356, 538, 513, 2922, 10160, 585, 519, 5428, 1310, 519, 1651, 3518, 550, 814, 32380, 22283, 1524, 8542, 1774, 634, 11788, 10579, 781, 4013, 15335, 2094, 476, 4198, 272, 568, 476, 2190, 12246, 16303, 20000, 538, 31747, 282, 2705, 519, 1651, 3518, 550, 3807, 514, 2558, 8775, 879, 814, 711, 5030, 972, 2094, 476, 1001, 280, 607, 519, 2777, 568, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 763, 5450, 529, 13780, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1768, 2967, 4525, 540, 31579, 541, 752, 8518, 543, 31579, 541, 21423, 269, 634, 3751, 25865, 571, 2729, 1498, 719, 3127, 543, 538, 930, 2694, 540, 519, 5045, 543, 519, 7532, 540, 5607, 20193, 568, 1634, 1472, 519, 1158, 585, 922, 5906, 29086, 269, 2073, 12443, 1998, 550, 1884, 1508, 558, 540, 1226, 710, 5169, 568, 3812, 676, 670, 3530, 330, 710, 4659, 543, 3751, 4659, 540, 16473, 633, 6925, 543, 3194, 538, 3127, 269, 1717, 267, 25865, 571, 29086, 568, 2965, 1031, 538, 2413, 4915, 607, 513, 1928, 17212, 591, 269, 2037, 1597, 558, 566, 19752, 513, 3020, 2564, 6595, 269, 1411, 1294, 267, 838, 9231, 25865, 571, 779, 29086, 3085, 1406, 798, 4376, 952, 621, 1175, 16125, 596, 593, 519, 2960, 610, 1256, 4991, 538, 707, 5023, 269, 901, 2249, 267, 799, 840, 903, 30109, 593, 824, 15315, 267, 568, 1336, 15866, 538, 7733, 689, 3127, 998, 14913, 5607, 547, 519, 13372, 543, 12868, 269, 8601, 519, 2262, 834, 322, 984, 571, 257, 538, 922, 2012, 267, 713, 13131, 568, 711, 513, 4759, 540, 715, 24652, 9497, 25152, 25865, 6652, 8442, 855, 12851, 547, 922, 1378, 2560, 476, 634, 589, 295, 268, 272, 313, 267, 835, 540, 519, 5767, 2818, 540, 519, 2560, 476, 744, 7315, 514, 267, 513, 3940, 5057, 540, 519, 29086, 267, 3123, 3834, 565, 24899, 10056, 543, 5409, 531, 2471, 807, 538, 11864, 269, 3751, 29154, 571, 1772, 3127, 781, 2817, 1234, 696, 850, 1656, 17972, 8871, 514, 1836, 769, 4095, 9177, 269, 476, 7906, 267, 476, 1001, 274, 267, 6032, 269, 476, 31733, 6181, 1742, 476, 1001, 278, 5395, 25871, 5980, 3751, 29154, 571, 700, 5366, 769, 14814, 6153, 1280, 11426, 269, 12280, 4166, 5205, 1813, 547, 7929, 5821, 269, 634, 4622, 25865, 571, 568, 519, 4102, 540, 519, 9006, 10535, 15315, 282, 621, 2729, 538, 519, 7733, 540, 3127, 267, 1473, 5255, 2088, 267, 7013, 3624, 267, 519, 9530, 320, 5246, 28396, 543, 519, 13372, 267, 1141, 621, 568, 21787, 267, 849, 585, 922, 6825, 26490, 4369, 269, 476, 14066, 9424, 540, 1884, 1508, 558, 949, 581, 2877, 547, 9258, 519, 11144, 540, 2589, 269, 1714, 2355, 269, 898, 568, 519, 1158, 781, 13074, 9006, 10535, 13131, 269, 634, 1395, 665, 1194, 25865, 571, 2443, 799, 568, 5065, 547, 2560, 3751, 25865, 571, 29086, 5540, 519, 7929, 7740, 538, 519, 2634, 267, 4929, 7929, 10654, 543, 13487, 5821, 269, 476, 898, 849, 4386, 593, 4446, 520, 836, 6816, 538, 519, 4279, 1656, 16120, 5832, 269, 898, 12823, 3618, 25645, 19089, 543, 30397, 3001, 10352, 3592, 476, 1911, 544, 630, 20065, 10264, 264, 2476, 269, 20673, 663, 329, 1014, 1696, 620, 269, 10495, 540, 519, 476, 16928, 4095, 25865, 571, 29086, 14189, 25560, 6090, 585, 9647, 860, 338, 538, 519, 4622, 25865, 571, 4951, 602, 267, 1247, 476, 9834, 6090, 1185, 513, 6474, 267, 476, 6246, 1705, 711, 630, 11045, 11915, 7305, 476, 277, 324, 1040, 634, 4622, 25865, 571, 568, 513, 7986, 3090, 538, 519, 13299, 543, 12563, 5389, 540, 3127, 267, 16444, 20092, 543, 27060, 269, 476, 898, 568, 3677, 267, 814, 513, 7522, 518, 543, 3476, 4174, 701, 593, 519, 8405, 269, 634, 4622, 25865, 571, 568, 519, 1152, 13131, 602, 13976, 513, 9566, 1210, 3819, 6978, 16445, 267, 4358, 689, 3735, 4728, 547, 3735, 2904, 269, 1744, 5792, 609, 2475, 4916, 4825, 841, 16140, 269, 2073, 8621, 611, 787, 553, 554, 20087, 729, 519, 3621, 2012, 1031, 676, 20636, 2067, 626, 31187, 11977, 22616, 528, 538, 476, 8146, 277, 945, 4330, 2185, 4622, 25865, 571, 15013, 267, 1614, 9676, 538, 519, 9530, 16808, 753, 543, 835, 538, 519, 25610, 540, 918, 13083, 1092, 269, 2073, 901, 2376, 568, 827, 519, 13131, 269, 19881, 2090, 723, 3254, 602, 7135, 538, 13131, 29086, 666, 2014, 1928, 676, 1437, 908, 1018, 779, 1572, 1808, 3679, 1606, 14819, 9357, 9055, 630, 3008, 2975, 338, 1040, 476, 4107, 20097, 616, 4092, 693, 519, 3490, 540, 4054, 267, 616, 909, 547, 476, 4649, 4699, 630, 2420, 538, 264, 1164, 538, 519, 4099, 543, 476, 9610, 4699, 630, 4649, 538, 264, 2647, 693, 519, 3490, 269, 634, 4622, 25865, 571, 630, 302, 12978, 20652, 554, 20087, 264, 568, 513, 1804, 1714, 777, 573, 21049, 547, 7733, 689, 3127, 998, 14913, 5607, 269, 634, 5104, 32596, 616, 15191, 15918, 871, 267, 609, 5835, 610, 3043, 3444, 321, 1513, 593, 519, 1560, 543, 2766, 543, 2185, 2147, 3444, 321, 1513, 593, 519, 2212, 269, 476, 898, 2356, 30417, 3425, 543, 1793, 3855, 1055, 950, 22841, 267, 855, 568, 1634, 547, 26490, 1947, 9718, 17861, 908, 5798, 543, 4323, 11371, 644, 619, 6385, 269, 667, 832, 531, 10253, 616, 5116, 538, 606, 21933, 1664, 11460, 269, 2073, 29154, 571, 10007, 610, 15090, 3149, 616, 5156, 676, 21915, 20891, 553, 547, 1020, 689, 519, 25865, 571, 781, 26372, 269, 589, 4663, 333, 1172, 564, 666, 849, 581, 1031, 693, 519, 3135, 540, 519, 11116, 547, 6565, 29086, 2095, 2394, 519, 6408, 666, 3914, 513, 6413, 547, 4309, 4550, 268, 1597, 558, 269, 2073, 769, 14913, 5607, 267, 519, 4622, 25865, 571, 568, 12219, 19466, 676, 7226, 9552, 19962, 547, 17717, 543, 7269, 540, 6694, 2244, 269, 1879, 9870, 922, 1560, 267, 519, 4622, 25865, 571, 666, 1869, 1847, 4464, 547, 10880, 609, 513, 1279, 3845, 267, 543, 1004, 949, 3765, 9080, 613, 519, 2922, 7997, 269, 594, 23294, 1125, 585, 519, 4282, 6846, 269, 5221, 540, 922, 8465, 28287, 621, 666, 15179, 10352, 1454, 3677, 982, 922, 2212, 269, 634, 25865, 571, 568, 513, 530, 1176, 13131, 602, 786, 6968, 543, 838, 527, 29086, 2394, 596, 610, 646, 568, 4666, 256, 476, 1403, 519, 679, 1597, 558, 566, 568, 3978, 267, 621, 22264, 547, 9025, 12900, 267, 543, 519, 6408, 8813, 883, 513, 635, 320, 269, 634, 13074, 1634, 1367, 6027, 476, 276, 269, 5952, 544, 630, 866, 269, 273, 10264, 1040, 634, 1347, 1067, 568, 513, 17308, 612, 945, 568, 2356, 31024, 539, 609, 1614, 3182, 9999, 543, 21098, 525, 519, 13131, 593, 519, 1283, 540, 922, 2212, 693, 519, 1439, 540, 519, 9161, 269, 476, 1849, 8553, 2450, 9832, 689, 476, 278, 547, 476, 6246, 5798, 267, 609, 476, 277, 547, 476, 4343, 5798, 554, 10248, 1310, 29164, 5712, 540, 476, 5780, 547, 476, 10755, 2395, 269, 634, 6757, 29086, 5950, 676, 519, 25865, 571, 267, 835, 540, 519, 1158, 779, 7887, 15315, 267, 568, 2614, 547, 6146, 476, 736, 3425, 609, 1175, 835, 11116, 269, 13018, 267, 538, 1614, 1114, 1899, 1137, 540, 968, 4944, 9231, 892, 15315, 267, 29086, 568, 1031, 547, 15658, 11975, 269, 2073, 634, 4622, 25865, 571, 568, 7396, 538, 595, 3951, 2464, 25715, 4083, 269, 898, 840, 903, 30109, 593, 824, 15315, 543, 12212, 593, 930, 824, 30900, 267, 971, 607, 28499, 543, 23224, 269, 476, 634, 1804, 4064, 723, 513, 11344, 32640, 543, 5180, 10453, 269, 476, 476, 272, 13517, 476, 273, 10395, 520, 5811, 476, 274, 5903, 540, 2157, 10023, 519, 3751, 29154, 571, 476, 275, 2558, 14746, 476, 276, 20155, 476, 277, 6423, 2859, 589, 21832, 20599, 269, 476, 901, 568, 2219, 547, 581, 1813, 547, 29086, 779, 2702, 547, 2170, 609, 1973, 2095, 543, 519, 8401, 1062, 269, 2073, 634, 4622, 25865, 571, 19299, 513, 14984, 5778, 1729, 13877, 29086, 543, 2669, 666, 2049, 538, 607, 2370, 607, 476, 1789, 3764, 1310, 1373, 3787, 1084, 269, 634, 3751, 29154, 571, 630, 10193, 1634, 607, 519, 11115, 1242, 29154, 571, 1070, 2059, 609, 519, 32020, 8759, 18279, 568, 835, 540, 1079, 1007, 14763, 538, 519, 16099, 715, 8123, 332, 476, 274, 291, 267, 16099, 2473, 339, 3153, 7269, 269, 2073, 634, 4622, 25865, 571, 568, 711, 2808, 10728, 269, 769, 835, 1895, 540, 15315, 267, 2705, 267, 29086, 814, 7960, 543, 17146, 689, 32456, 547, 4027, 269, 2073, 589, 29981, 2079, 540, 24197, 5027, 4951, 602, 15013, 689, 5080, 3430, 8643, 543, 715, 12112, 517, 13961, 774, 2459, 541, 520, 28393, 806, 538, 7013, 17289, 1106, 513, 7184, 28836, 804, 1228, 689, 1346, 689, 7187, 17289, 267, 799, 19882, 609, 15013, 689, 27060, 543, 2871, 836, 323, 784, 538, 7013, 3624, 269, 2073, 634, 29086, 540, 24011, 13530, 568, 607, 14984, 607, 602, 540, 519, 4079, 269, 634, 11563, 568, 1769, 5835, 610, 8645, 23469, 269, 1677, 6146, 741, 10352, 267, 789, 991, 547, 11116, 543, 13793, 593, 269, 898, 4386, 909, 547, 606, 15038, 540, 476, 273, 267, 1822, 544, 630, 277, 267, 7785, 10264, 264, 689, 519, 6833, 2967, 538, 3127, 543, 7013, 18310, 547, 519, 23347, 14090, 583, 571, 5211, 16935, 538, 13225, 27175, 543, 22583, 3127, 267, 16273, 543, 547, 27060, 267, 7013, 3624, 267, 25591, 267, 17289, 267, 5487, 657, 267, 10476, 267, 17111, 267, 14135, 267, 12868, 543, 519, 13372, 269, 898, 814, 605, 614, 30735, 7202, 819, 267, 2495, 621, 814, 1079, 2110, 267, 6378, 535, 836, 338, 538, 519, 4395, 540, 519, 5023, 267, 799, 8756, 29086, 883, 519, 10352, 269, 4236, 32596, 616, 3109, 609, 1750, 341, 1258, 8032, 3043, 267, 5835, 610, 10889, 13063, 602, 1448, 2509, 519, 2212, 269, 898, 568, 6870, 538, 3624, 543, 10476, 269, 2755, 519, 1010, 4513, 540, 1034, 15315, 616, 540, 513, 3376, 23151, 12732, 8151, 689, 10199, 476, 274, 267, 1822, 547, 476, 1724, 267, 1822, 21636, 609, 513, 8789, 4908, 2282, 476, 278, 267, 4335, 21636, 267, 4622, 25865, 571, 1332, 3149, 2874, 9003, 540, 12451, 2630, 476, 273, 267, 4335, 21636, 267, 609, 513, 8789, 4908, 2282, 476, 7785, 21636, 267, 513, 1454, 2539, 1606, 15929, 4908, 6251, 547, 602, 540, 513, 1480, 5639, 269, 476, 634, 2012, 568, 6508, 689, 922, 4412, 3748, 547, 3548, 15315, 269, 476, 11233, 5638, 538, 17289, 5815, 602, 17486, 689, 4622, 25865, 6652, 616, 1360, 16613, 269, 634, 13074, 1634, 1367, 6027, 476, 276, 269, 5952, 544, 630, 866, 269, 273, 10264, 1040, 898, 814, 513, 6292, 540, 1804, 1624, 760, 1388, 10253, 593, 1283, 540, 519, 2212, 267, 476, 1704, 547, 476, 866, 9343, 540, 5347, 21933, 1664, 10253, 593, 519, 8405, 267, 543, 476, 1428, 9343, 593, 519, 1560, 269, 2073, 589, 9161, 538, 27060, 3322, 513, 4622, 25865, 571, 543, 513, 4775, 13131, 1347, 1067, 269, 898, 568, 519, 13074, 9006, 10535, 13131, 538, 519, 1158, 269, 634, 4622, 25865, 571, 630, 302, 12978, 20652, 554, 20087, 264, 568, 4922, 7856, 2429, 1082, 2694, 540, 5607, 20136, 1353, 6663, 547, 8495, 519, 6988, 540, 14570, 1014, 744, 12978, 20652, 554, 20087, 630, 300, 17764, 264, 29086, 585, 513, 1732, 1620, 540, 4622, 25865, 571, 29086, 8390, 543, 922, 679, 1597, 4040, 2619, 30986, 269, 16448, 568, 834, 5825, 539, 2668, 31315, 9006, 1682, 616, 6757, 3940, 15483, 339, 5661, 1031, 585, 10352, 7001, 269, 901, 3381, 729, 2083, 4364, 693, 519, 1234, 696, 850, 20570, 4741, 267, 538, 1546, 27455, 267, 8419, 269, 2991, 513, 1804, 7594, 267, 621, 2729, 585, 1082, 3275, 1510, 1776, 835, 1317, 540, 922, 3500, 10894, 2557, 269, 476, 4706, 20425, 2766, 568, 5835, 880, 3039, 1657, 543, 6825, 609, 3109, 269, 29154, 6652, 723, 1896, 2409, 585, 12419, 741, 14686, 29086, 547, 741, 10352, 269, 2073, 11374, 679, 1597, 558, 566, 267, 621, 2220, 718, 3298, 922, 10352, 2898, 269, 476, 634, 3751, 29154, 571, 568, 519, 4102, 9006, 10535, 13131, 538, 519, 1158, 267, 543, 666, 7630, 606, 5393, 1804, 7274, 540, 29086, 538, 835, 11116, 269, 634, 4622, 25865, 571, 25560, 729, 513, 4625, 1114, 4990, 540, 11140, 2443, 513, 1804, 11747, 267, 2864, 982, 519, 4130, 11118, 25570, 3940, 1031, 676, 3020, 25865, 6652, 2443, 855, 621, 729, 972, 269, 1879, 15372, 539, 267, 621, 12651, 519, 4395, 851, 540, 922, 1560, 267, 11498, 519, 26372, 267, 2982, 519, 535, 836, 338, 543, 1010, 4513, 10978, 569, 269, 631, 2297, 9676, 538, 29242, 6027, 909, 547, 476, 274, 269, 4037, 544, 630, 1321, 269, 274, 10264, 264, 543, 26693, 909, 547, 476, 1015, 4846, 630, 2420, 18470, 1040, 2073, 634, 4622, 25865, 571, 781, 29086, 5161, 540, 11118, 582, 2135, 1231, 543, 5778, 1729, 343, 1231, 267, 1519, 13672, 16250, 1755, 1729, 343, 1231, 543, 1614, 1922, 5424, 13802, 269, 1323, 2937, 3751, 25865, 571, 666, 1332, 909, 547, 476, 1240, 3952, 630, 276, 269, 276, 544, 1070, 1498, 1034, 616, 1447, 982, 476, 1321, 10264, 630, 274, 269, 278, 544, 1040, 476, 634, 1560, 814, 513, 4756, 2681 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12798, 11495, 693, 476, 7742, 1107, 476, 4968, 5998, 829, 5662, 3432, 267, 621, 568, 1631, 1909, 540, 519, 1310, 22856, 547, 5734, 519, 9381, 2127, 269, 634, 2062, 322, 7539, 24633, 602, 972, 1223, 581, 476, 5611, 1107, 476, 1220, 6515, 540, 22856, 538, 519, 2694, 540, 8109, 5245, 538, 519, 4947, 2395, 269, 2201, 519, 824, 2427, 540, 4201, 1537, 807, 267, 18679, 307, 516, 341, 528, 568, 11008, 2213, 607, 21145, 2185, 7814, 4577, 7088, 269, 634, 8387, 723, 10294, 519, 1533, 540, 6595, 269, 18044, 17160, 616, 4397, 1310, 519, 7088, 269, 4746, 267, 519, 7088, 568, 5458, 602, 621, 568, 4397, 547, 3142, 513, 1032, 779, 11811, 538, 1175, 476, 273, 2395, 269, 634, 12798, 616, 4397, 547, 561, 1662, 519, 3338, 693, 476, 7742, 5998, 829, 5662, 269, 1703, 10371, 0, 2467, 779, 1100, 27102, 602, 25689, 585, 27797, 1053, 1689, 2729, 269, 1411, 1152, 723, 547, 1224, 519, 11121, 2984, 540, 1762, 2021, 945, 4607, 1164, 1153, 25689, 998, 519, 670, 8973, 16019, 4065, 7690, 630, 295, 300, 9128, 264, 547, 1174, 519, 5458, 1764, 602, 789, 723, 593, 1004, 779, 2729, 563, 763, 1942, 540, 11504, 1164, 1153, 543, 2852, 585, 24596, 2090, 568, 1419, 856, 540, 3914, 585, 930, 1053, 269, 4634, 2229, 30845, 1857, 3506, 602, 2709, 1453, 513, 1863, 2069, 2503, 3237, 547, 2628, 585, 26977, 543, 2307, 585, 17319, 7418, 585, 9499, 543, 32751, 687, 269, 898, 779, 4061, 711, 9670, 602, 1053, 689, 2539, 4747, 10820, 616, 7508, 856, 593, 513, 2596, 1377, 540, 2069, 563, 2691, 596, 2015, 602, 2021, 616, 811, 2693, 547, 2661, 538, 6710, 982, 2367, 267, 621, 779, 6690, 945, 1223, 4324, 1034, 689, 4775, 25689, 547, 3035, 741, 2407, 1761, 563, 4913, 267, 711, 782, 4775, 1053, 543, 741, 3885, 616, 3222, 602, 789, 949, 581, 14718, 585, 25689, 610, 1256, 1174, 1018, 3063, 7616, 666, 798, 585, 873, 563, 2080, 267, 649, 1413, 693, 519, 2596, 1919, 602, 3025, 1058, 917, 827, 25689, 563, 272, 269, 15526, 16393, 2142, 4432, 580, 1043, 585, 513, 18623, 1222, 454, 2005, 779, 513, 1455, 31605, 602, 25689, 616, 1152, 11603, 585, 3486, 1053, 610, 1346, 945, 14133, 693, 5026, 610, 723, 6913, 519, 5207, 9344, 269, 769, 5168, 267, 952, 596, 2461, 689, 513, 27797, 1753, 543, 1397, 4081, 1761, 543, 519, 8404, 547, 1353, 267, 596, 1223, 581, 13886, 547, 513, 2883, 8366, 563, 2467, 616, 7899, 540, 25689, 585, 8004, 1053, 547, 4019, 585, 269, 3509, 3506, 543, 12621, 2196, 741, 1378, 14172, 3292, 267, 799, 1590, 581, 4294, 585, 2047, 269, 1809, 267, 972, 616, 849, 7366, 540, 8241, 5238, 602, 10950, 3156, 689, 1762, 4775, 1053, 3168, 585, 948, 11543, 519, 2069, 789, 17330, 269, 1280, 1383, 281, 4841, 3168, 585, 1489, 1247, 11543, 15642, 1049, 4065, 543, 9751, 630, 309, 4953, 264, 20340, 1223, 2015, 7311, 585, 519, 645, 4785, 312, 693, 4518, 1982, 269, 1403, 2029, 568, 707, 3364, 267, 519, 8241, 8950, 5980, 7690, 814, 13752, 936, 476, 277, 267, 1822, 25689, 2094, 922, 10131, 538, 476, 1220, 272, 563, 763, 5398, 4065, 7690, 3091, 513, 2647, 3099, 540, 25689, 2519, 593, 1808, 2127, 540, 991, 267, 971, 607, 15076, 267, 6805, 267, 6917, 543, 16981, 1053, 563, 10673, 1406, 7340, 519, 32518, 9128, 14172, 1982, 602, 3091, 14828, 547, 8951, 538, 1164, 1153, 269, 3414, 938, 25689, 267, 649, 948, 6690, 7680, 14227, 19319, 547, 2087, 741, 3872, 4093, 543, 3035, 741, 4876, 17050, 563, 273, 269, 1411, 2052, 15233, 585, 2859, 20537, 2290, 18623, 1222, 454, 2791, 1810, 1406, 723, 547, 6615, 3054, 676, 7311, 585, 1175, 835, 14172, 269, 634, 4641, 568, 602, 596, 1058, 711, 2503, 547, 3094, 873, 782, 267, 865, 519, 811, 596, 4019, 585, 267, 519, 3152, 707, 8458, 540, 1373, 7608, 269, 11408, 1224, 519, 7355, 547, 2327, 602, 596, 2743, 519, 4170, 267, 543, 6108, 942, 593, 519, 3498, 547, 1118, 2386, 602, 596, 1205, 621, 1318, 269, 1403, 596, 1810, 1406, 2119, 267, 596, 9090, 4465, 1406, 3094, 513, 14172, 563, 274, 269, 5213, 1406, 15233, 585, 18421, 454, 6624, 1053, 1118, 519, 12161, 540, 7311, 585, 1169, 14172, 789, 666, 1265, 269, 7388, 1154, 606, 3498, 666, 581, 513, 1279, 1184, 267, 543, 621, 949, 1491, 596, 3108, 547, 6445, 856, 606, 3498, 1106, 610, 2328, 513, 19169, 1557, 269, 7388, 1154, 7050, 3156, 568, 711, 1152, 24858, 267, 855, 621, 1223, 581, 513, 3653, 540, 942, 267, 2523, 952, 596, 1265, 3054, 7311, 585, 3292, 602, 596, 2461, 711, 14718, 585, 563, 27916, 2774, 3054, 547, 7836, 942, 593, 1175, 2185, 610, 2947, 3156, 269, 1280, 2852, 543, 6280, 25689, 267, 7522, 1524, 519, 3406, 1210, 513, 3896, 899, 519, 6153, 29550, 6651, 269, 23225, 518, 3156, 1611, 596, 666, 1445, 593, 1142, 835, 547, 1577, 707, 15131, 19542, 998, 538, 707, 19169, 563, 275, 269, 18623, 4721, 585, 2598, 7349, 3042, 4841, 9796, 585, 2859, 20537, 16515, 819, 3171, 525, 454, 306, 3273, 1513, 4721, 2097, 538, 1114, 5546, 543, 7306, 269, 9540, 13075, 14828, 616, 3730, 585, 8720, 707, 1153, 24875, 12375, 269, 631, 1749, 1125, 25689, 1058, 849, 2628, 585, 26977, 543, 32751, 687, 269, 9509, 25689, 585, 1053, 2469, 547, 2852, 610, 6280, 849, 948, 547, 3382, 519, 3790, 540, 22098, 543, 2713, 585, 519, 8653, 540, 707, 4110, 563, 4913, 267, 2407, 25689, 585, 8951, 538, 1164, 1153, 666, 948, 2628, 585, 865, 1454, 811, 269, 1280, 1383, 267, 519, 32518, 9128, 14172, 568, 12595, 693, 1269, 736, 267, 1822, 936, 2185, 1296, 547, 1489, 27797, 6690, 689, 1032, 8370, 998, 22692, 269, 769, 519, 1101, 1032, 267, 1053, 616, 2016, 513, 15291, 543, 1164, 18286, 4950, 1569, 269, 1280, 1142, 540, 519, 2185, 1296, 267, 519, 1982, 6227, 1153, 9276, 267, 26977, 267, 2123, 23468, 543, 19957, 2228, 6780, 6351, 563, 2690, 3885, 945, 6560, 547, 2628, 585, 741, 1453, 547, 7390, 6281, 1153, 543, 2852, 267, 891, 25689, 616, 17170, 563, 276, 269, 2142, 22731, 543, 11300, 538, 2659, 13335, 454, 6624, 25689, 2154, 23078, 547, 2328, 606, 1557, 269, 1306, 621, 666, 581, 2352, 547, 1796, 856, 689, 519, 15624, 267, 596, 991, 547, 10544, 519, 14172, 12233, 779, 3007, 538, 519, 1101, 1906, 5220, 269, 898, 779, 4105, 602, 707, 1557, 568, 1312, 3860, 543, 3312, 563, 29490, 2626, 519, 2243, 1373, 4280, 269, 1703, 779, 1100, 991, 547, 2446, 519, 2243, 269, 589, 1134, 27787, 1557, 2306, 519, 2626, 2312, 1510, 1373, 6654, 563, 277, 269, 18623, 4721, 7827, 22032, 454, 306, 3273, 1513, 4721, 616, 513, 3076, 5202, 585, 1053, 945, 2661, 538, 1970, 13867, 10820, 269, 1358, 1683, 519, 2883, 543, 3929, 1489, 2556, 547, 948, 1053, 3914, 741, 3872, 1761, 563, 2026, 606, 8241, 17493, 543, 1857, 1649, 5271, 565, 550, 9872, 267, 32518, 9128, 1193, 1161, 547, 1689, 519, 2729, 540, 1762, 6690, 676, 4758, 873, 519, 4316, 547, 1353, 1510, 20468, 827, 519, 2883, 11411, 269, 20821, 938, 476, 1708, 271, 5640, 945, 616, 1305, 547, 4309, 519, 25380, 789, 991, 547, 29311, 741, 9909, 563, 2467, 568, 2312, 2963, 540, 519, 3095, 1063, 18997, 2021, 543, 519, 10970, 2747, 540, 6710, 538, 2486, 563, 2691, 2021, 543, 6690, 7118, 4747, 267, 789, 5368, 4034, 476, 3445, 260, 540, 621, 883, 741, 3885, 267, 3379, 609, 476, 1789, 268, 2412, 260, 585, 513, 812, 563, 294, 597, 3149, 3068, 1082, 7496, 547, 3478, 606, 2069, 602, 8695, 798, 711, 269, 2368, 540, 891, 1331, 6379, 267, 6469, 543, 1416, 9021, 267, 543, 11994, 602, 2069, 540, 6690, 568, 1447, 3407, 982, 2069, 540, 8695, 563, 14807, 908, 2021, 2164, 538, 2178, 11615, 267, 4389, 6710, 585, 1453, 543, 3885, 543, 786, 723, 513, 1129, 328, 16667, 322, 656, 1764, 538, 4227, 519, 4008, 7934, 543, 6173, 908, 2021, 547, 606, 3160, 4567, 540, 2367, 538, 2486, 563, 12812, 1934, 547, 1451, 827, 519, 2136, 8315, 12655, 4886, 17644, 602, 32518, 9128, 1489, 563, 19400, 519, 2630, 3381, 547, 1451, 875, 32518, 9128, 7028, 6690, 563, 2108, 8601, 5245, 779, 6024, 2208, 538, 519, 2250, 1906, 5756, 267, 476, 274, 2929, 1004, 616, 1869, 17215, 27797, 2108, 454, 8170, 891, 267, 476, 278, 4375, 267, 1822, 616, 1453, 269, 634, 8605, 2032, 8189, 11225, 19319, 607, 513, 17326, 7645, 1523, 602, 4422, 3564, 1970, 4747, 543, 849, 2882, 3668, 540, 3255, 607, 1134, 607, 1514, 17181, 269, 901, 568, 3226, 1271, 585, 27797, 8951, 4171, 2069, 543, 2308, 1464, 666, 540, 339, 550, 1307, 581, 15763, 693, 519, 13258, 540, 824, 267, 811, 7525, 2115, 540, 519, 1920, 267, 971, 607, 12391, 585, 824, 1920, 2818, 563, 10907, 1393, 2804, 19319, 1419, 1797, 602, 6690, 1810, 1406, 723, 519, 3937, 543, 2200, 2556, 547, 4324, 689, 519, 1482, 3255, 741, 9905, 689, 811, 29341, 10080, 2972, 269, 12213, 569, 12082, 19319, 14944, 1149, 519, 1523, 540, 20519, 7100, 543, 3160, 3255, 269, 9453, 1697, 6351, 267, 5215, 540, 6690, 685, 1761, 666, 2611, 26867, 2213, 563, 26296, 3186, 3191, 568, 519, 1292, 543, 1034, 6654, 1106, 540, 8650, 2804, 19319, 269, 1717, 267, 972, 616, 1082, 824, 3029, 540, 11393, 607, 1134, 269, 7731, 5208, 610, 14524, 267, 6219, 6057, 543, 1970, 4081, 9740, 538, 3237, 610, 519, 1126, 779, 3119, 27877, 616, 824, 20334, 547, 519, 19319, 602, 666, 3337, 1053, 685, 23381, 338, 543, 1272, 3255, 563, 305, 1049, 3903, 3069, 267, 585, 3236, 267, 2982, 602, 3885, 945, 7985, 689, 1514, 8635, 946, 1114, 5036, 540, 6724, 547, 2268, 519, 1871, 540, 13197, 2069, 269, 1280, 1383, 267, 27797, 543, 796, 14445, 730, 3237, 1522, 2601, 602, 621, 1131, 581, 1732, 585, 741, 1453, 547, 1205, 513, 2816, 607, 4166, 607, 2009, 538, 1931, 547, 7118, 2724, 607, 10353, 547, 1651, 584, 2590, 3606, 3790, 676, 13197, 2069, 269, 2201, 519, 824, 1688, 267, 17215, 3462, 3042, 3885, 949, 2070, 2069, 607, 513, 1279, 3856, 5092, 269, 634, 24388, 998, 799, 519, 17215, 27797, 2070, 2069, 568, 1114, 689, 519, 24388, 998, 799, 519, 29341, 2070, 621, 563, 26807, 2516, 267, 1813, 547, 16663, 543, 8589, 5314, 267, 616, 849, 811, 2693, 547, 7985, 689, 513, 14227, 19319, 912, 300, 20047, 540, 8589, 2213, 2516, 616, 711, 1152, 9308, 9813, 730, 676, 2713, 538, 9678, 2950, 267, 855, 519, 4928, 3294, 666, 849, 1745, 7938, 601, 5765, 676, 711, 8204, 741, 2418, 267, 4529, 543, 4654, 267, 799, 666, 2417, 25339, 1153, 20343, 543, 3872, 17050, 563, 12234, 267, 13664, 10072, 543, 513, 3668, 540, 2200, 2014, 1053, 547, 4413, 1153, 3274, 1317, 789, 723, 1100, 1797, 547, 1205, 547, 519, 1153, 22402, 269, 19452, 267, 519, 2168, 3845, 689, 9905, 5012, 27797, 1453, 547, 1246, 538, 519, 3723, 25074, 540, 741, 3237, 267, 607, 789, 723, 1447, 4598, 547, 1018, 1272, 1223, 1413, 899, 3544, 540, 741, 7525, 1604, 563, 294, 597, 3149, 616, 3226, 7925, 538, 713, 2796, 607, 789, 666, 1419, 8263, 519, 1909, 540, 519, 3119, 15637, 585, 991, 344, 610, 7210, 1920, 2818, 543, 267, 952, 2069, 568, 3015, 267, 616, 540, 339, 550, 1307, 2034, 538, 1899, 1310, 741, 5256, 13413, 563, 5472, 540, 891, 2188, 723, 606, 1764, 593, 875, 1053, 13498, 2933, 543, 593, 875, 2486, 607, 513, 2898, 6544, 1161, 519, 17215, 27797, 563, 7230, 8221, 2804, 19319, 538, 1053, 568, 711, 607, 2653, 607, 4758, 1920, 2724, 269, 3509, 540, 519, 2427, 2360, 540, 1279, 3856, 19319, 616, 7184, 3824, 11712, 538, 1453, 267, 7133, 741, 17050, 543, 3661, 602, 789, 666, 1689, 741, 6381, 269, 570, 871, 1782, 19319, 267, 4061, 267, 3340, 513, 11455, 1935, 602, 9607, 519, 2883, 267, 3929, 543, 5626, 7496, 27797, 1053, 3068, 563, 11754, 7675, 2804, 19319, 538, 6690, 543, 5356, 873, 1489, 538, 741, 2069, 568, 3226, 1271, 269, 589, 476, 1001, 279, 1353, 2944, 676, 3600, 1601, 543, 519, 2160, 540, 1715, 3162, 12986, 2982, 602, 519, 5354, 540, 1004, 538, 5245, 2713, 538, 6710, 616, 2021, 269, 3509, 540, 891, 2661, 607, 2582, 1790, 1861, 3885, 1141, 519, 1981, 585, 29076, 6710, 568, 15398, 269, 19452, 267, 32682, 1027, 2021, 610, 2021, 6849, 13864, 616, 811, 693, 1981, 540, 6710, 982, 2367, 267, 865, 5356, 2178, 3872, 13210, 568, 14063, 547, 7863, 6690, 685, 1279, 3856, 17612, 563, 8448, 982, 519, 2799, 13438, 538, 2021 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5415, 982, 476, 12573, 267, 1822, 1004, 6849, 26380, 538, 18629, 781, 570, 580, 2001, 3148, 454, 32481, 476, 12573, 267, 1822, 1004, 616, 6849, 3665, 20317, 540, 1426, 538, 18629, 779, 2112, 2389, 1941, 570, 580, 2001, 3148, 267, 5710, 532, 8823, 540, 513, 7839, 26380, 602, 2451, 606, 6059, 835, 2929, 1004, 4666, 538, 519, 476, 2735, 271, 338, 563, 763, 2136, 8315, 543, 824, 5351, 2516, 5116, 2694, 540, 519, 15337, 1014, 3148, 693, 519, 5207, 1439, 540, 519, 21091, 5253, 8232, 18001, 19032, 630, 7709, 290, 264, 4336, 799, 568, 1031, 547, 2268, 1340, 1149, 269, 1323, 7379, 290, 18001, 476, 276, 8760, 267, 6382, 1634, 607, 26380, 267, 1797, 602, 476, 736, 829, 1298, 540, 10820, 3068, 606, 3665, 3668, 540, 1426, 267, 693, 2547, 476, 1789, 829, 1298, 540, 1453, 7985, 689, 8650, 22926, 543, 1079, 1004, 585, 1169, 476, 1015, 267, 1822, 616, 12955, 1142, 1554, 689, 27781, 563, 763, 3561, 3081, 6634, 811, 2066, 570, 580, 2001, 2838, 968, 4026, 550, 1426, 543, 6683, 15828, 633, 16901, 338, 1489, 547, 513, 3200, 2417, 15942, 2509, 26380, 3034, 763, 4681, 941, 4843, 693, 513, 1164, 7400, 5870, 593, 11728, 1063, 476, 1240, 6167, 543, 1875, 268, 7419, 14540, 267, 669, 8529, 676, 519, 6167, 19493, 8783, 4460, 8899, 32024, 563, 11854, 1136, 593, 13628, 267, 646, 1767, 281, 834, 2467, 568, 26380, 1631, 269, 901, 568, 2469, 547, 1205, 513, 2603, 8338, 4799, 8310, 3018, 267, 6004, 8899, 32024, 5143, 634, 1855, 25393, 602, 27781, 729, 1373, 1031, 607, 513, 834, 933, 777, 517, 540, 2112, 257, 538, 570, 580, 2001, 563, 20685, 11340, 807, 779, 2229, 814, 1044, 19526, 538, 513, 26481, 2112, 609, 519, 570, 580, 2001, 3148, 2094, 2063, 5437, 267, 3056, 547, 519, 6059, 12761, 540, 811, 982, 1079, 2929, 1004, 543, 2810, 2963, 540, 21393, 543, 2112, 10963, 563, 763, 4655, 568, 519, 1267, 540, 20387, 13253, 1063, 519, 5449, 15194, 16918, 267, 519, 570, 580, 2001, 4658, 779, 8644, 3130, 13571, 630, 9143, 299, 293, 1070, 543, 18629, 779, 11788, 10579, 267, 2806, 12011, 30277, 267, 945, 814, 13084, 16845, 606, 4550, 1922, 3985, 16786, 2094, 4947, 547, 1379, 538, 476, 1001, 279, 563, 763, 26380, 9963, 8591, 547, 3395, 7125, 676, 513, 3984, 540, 2477, 267, 1519, 519, 5177, 543, 2475, 267, 585, 18629, 547, 17551, 513, 24044, 13933, 543, 1450, 19493, 1569, 547, 519, 29990, 3148, 540, 1472, 5722, 2929, 1004, 563, 763, 2475, 9307, 593, 13628, 602, 621, 1131, 1683, 1269, 8687, 2929, 547, 5838, 1426, 267, 1216, 543, 5351, 547, 519, 811, 982, 1614, 2929, 1004, 621, 1767, 941, 693, 1981, 540, 26380, 563, 5649, 9509, 9137, 281, 2859, 982, 476, 12573, 267, 1822, 1004, 6849, 26380, 538, 18629, 781, 570, 580, 2001, 3148, 454, 2704, 808, 10270, 5028, 5240, 19305, 781, 19784, 717, 643, 4673, 645, 8775, 21105, 729, 18486, 538, 513, 22266, 6073, 676, 18303, 13567, 4229, 1247, 8720, 23405, 538, 519, 13026, 5101, 13243, 8378, 540, 2701, 16554, 808, 541, 19207, 269, 1325, 808, 10270, 5028, 6585, 519, 18303, 2229, 3743, 585, 1200, 10304, 543, 7569, 1200, 7525, 5305, 269, 1325, 808, 10270, 5028, 781, 4342, 10984, 534, 267, 715, 8494, 631, 9579, 25596, 267, 849, 1185, 1010, 8254, 10032, 676, 519, 18303, 8128, 15029, 8989, 563, 307, 3415, 2349, 1515, 814, 1767, 621, 568, 834, 5503, 547, 10646, 257, 1063, 1004, 945, 723, 543, 10093, 1405, 1185, 513, 11452, 6669, 563, 288, 4791, 4693, 3459, 713, 3018, 547, 1265, 856, 2436, 513, 3791, 9570, 540, 6669, 786, 1683, 1004, 609, 1732, 4027, 1996, 519, 13044, 268, 866, 3644, 267, 543, 547, 5531, 2963, 593, 875, 1114, 10074, 960, 1927, 269, 3220, 3627, 19159, 540, 17659, 5112, 9576, 5606, 3305, 776, 267, 6941, 875, 519, 4693, 786, 960, 267, 543, 14753, 547, 930, 540, 519, 13538, 563, 288, 3791, 5951, 540, 13044, 2665, 568, 2693, 543, 834, 1492, 2243, 568, 875, 2462, 786, 713, 5951, 581, 2580, 12986, 262, 1072, 14012, 814, 19230, 563, 14737, 8651, 616, 968, 11274, 5193, 569, 1930, 892, 547, 8488, 532, 519, 4873, 476, 2641, 30196, 538, 4789, 952, 519, 18647, 14583, 910, 3006, 1572, 519, 4095, 14583, 910, 7707, 839, 519, 2197, 779, 11452, 6051, 16548, 267, 519, 5177, 2657, 14199, 814, 1767, 563, 291, 665, 3701, 12649, 676, 513, 623, 2317, 2861, 10196, 7008, 616, 693, 519, 8998, 540, 519, 2487, 15784, 936, 519, 5169, 540, 13044, 268, 866, 269, 769, 606, 12600, 5872, 609, 3127, 4653, 12458, 1690, 28635, 267, 519, 7008, 7000, 1018, 3366, 873, 547, 16785, 519, 476, 1001, 273, 10071, 689, 3624, 602, 568, 1631, 1373, 5532, 547, 590, 1513, 17336, 268, 273, 563, 288, 1007, 5951, 540, 1065, 1833, 538, 24063, 814, 3366, 547, 519, 705, 2265, 687, 540, 19421, 811, 11685, 15628, 676, 3354, 4229, 543, 693, 2547, 835, 16957, 2669, 269, 11153, 4627, 1004, 616, 2219, 547, 723, 1044, 1033, 7134, 1510, 4693, 538, 519, 7532, 3979, 2197, 538, 5728, 30813, 1141, 789, 616, 16271, 547, 513, 22266, 12512, 540, 5134, 13015, 269, 634, 2197, 814, 11124, 513, 3126, 540, 11523, 23957, 6322, 693, 16826, 532, 856, 29926, 2094, 5859, 532, 3459, 585, 16232, 12836, 3735, 2063, 1032, 563, 19328, 4080, 476, 14625, 267, 29121, 1007, 11452, 5563, 593, 10732, 267, 519, 9803, 538, 1079, 3275, 267, 1247, 519, 2669, 17167, 2799, 676, 476, 273, 267, 277, 6507, 267, 607, 2694, 540, 519, 2197, 5423, 547, 8897, 3350, 9993, 563, 289, 528, 529, 9652, 786, 20882, 717, 278, 3401, 547, 968, 3698, 324, 520, 13044, 892, 676, 3945, 3215, 519, 1158, 676, 519, 1439, 540, 1985, 1032, 267, 607, 646, 24864, 585, 513, 2518, 4585, 1062, 547, 6952, 1007, 14726, 1354, 789, 666, 726, 25128, 2477, 1394, 883, 27579, 563, 7069, 25130, 779, 3354, 4229, 723, 27333, 7166, 476, 736, 1004, 538, 804, 10449, 609, 27142, 11439, 609, 3032, 777, 6699, 543, 3444, 28647, 538, 519, 15718, 5674, 541, 342, 8014, 5757, 18232, 3148, 269, 1403, 9672, 267, 519, 2669, 17167, 1131, 581, 835, 540, 519, 10782, 2395, 540, 5208, 538, 519, 2197, 538, 5176, 1079, 3275, 563, 306, 5058, 4338, 16800, 910, 4825, 841, 619, 723, 2938, 513, 21782, 538, 519, 6455, 540, 2011, 1625, 13294, 538, 2487, 4374, 267, 8015, 4145, 602, 13044, 268, 866, 949, 3262, 998, 23197, 6771, 538, 930, 5468, 563, 763, 772, 2529, 269, 786, 2285, 15990, 476, 16020, 267, 1822, 13066, 540, 5046, 268, 866, 6669, 267, 851, 540, 5518, 15608, 24068, 781, 1847, 547, 2671, 9937, 540, 6634, 540, 795, 11274, 11451, 267, 1614, 1977, 6845, 2209, 1767, 10732, 267, 1310, 519, 1582, 8573, 27968, 6532, 5360, 7134, 602, 3624, 568, 12042, 1359, 922, 3646, 547, 5150, 10074, 607, 621, 12959, 606, 12176, 269, 0, 1103, 519, 7330, 267, 606, 11265, 2754, 568, 606, 3919, 602, 18252, 835, 610, 811, 19120, 1881, 19750, 11629, 338, 543, 2553, 519, 13567, 540, 11285, 6189, 282, 1247, 11338, 538, 3162, 4000, 519, 2165, 568, 1644, 547, 513, 2319, 540, 2533, 1210, 7463, 2533, 547, 16413, 269, 4107, 540, 2679, 10909, 786, 946, 513, 14704, 602, 6585, 513, 11285, 12689, 9783, 676, 519, 11629, 1116, 13477, 540, 3013, 269, 634, 11285, 11863, 666, 581, 17468, 2228, 1142, 1032, 267, 2390, 2500, 12032, 540, 513, 1880, 3099, 540, 31477, 540, 11173, 2069, 543, 1565, 538, 6189, 269, 1703, 616, 513, 1297, 540, 1114, 11285, 2679, 10909, 538, 519, 2136, 2276, 602, 13404, 593, 513, 3099, 540, 1585, 5686, 540, 2679, 2533, 269, 589, 3099, 540, 10909, 786, 6157, 3761, 2699, 30472, 2533, 267, 891, 616, 12400, 540, 1018, 519, 8694, 909, 1587, 1522, 2408, 899, 269, 1452, 616, 4122, 13631, 676, 1688, 1818, 946, 540, 513, 15513, 543, 513, 16434, 2179, 540, 2511, 3301, 3498, 269, 901, 3028, 568, 7363, 2838, 585, 1022, 2679, 602, 568, 896, 4070, 610, 22058, 566, 269, 898, 568, 10123, 15164, 547, 1118, 946, 540, 513, 840, 13402, 1544, 547, 948, 9585, 513, 1454, 1732, 8289, 540, 1018, 519, 2679, 786, 23366, 1413, 899, 267, 2943, 621, 568, 3622, 11032, 17660, 585, 513, 2603, 540, 7622, 610, 1507, 2754, 3785, 269, 11153, 16413, 786, 6157, 9096, 606, 11265, 4110, 693, 606, 6280, 610, 2852, 1991, 547, 4358, 741, 22825, 269, 901, 786, 2874, 540, 513, 5458, 2179, 540, 4928, 960, 543, 21882, 602, 786, 6157, 991, 873, 547, 10505, 741, 5098, 547, 741, 3610, 693, 519, 1439, 540, 741, 3292, 269, 9752, 8593, 3298, 4721, 616, 849, 1455, 585, 1053, 602, 7287, 547, 3489, 930, 11285, 1995, 1991, 547, 16565, 741, 4110, 269, 3509, 2829, 2154, 8030, 547, 581, 26886, 543, 1346, 602, 798, 711, 616, 1572, 585, 547, 2347, 11173, 2069, 538, 741, 2361, 540, 3903, 538, 1931, 547, 8190, 741, 24416, 269, 11629, 1116, 610, 2679, 11768, 10453, 786, 1491, 1896, 5049, 2429, 741, 2679, 2852, 610, 6280, 1377, 1982, 269, 1358, 786, 6157, 3605, 547, 8908, 267, 9511, 267, 3106, 267, 22386, 267, 2780, 1062, 5280, 1374, 543, 849, 811, 269, 1452, 6030, 786, 849, 3382, 3606, 5396, 971, 607, 6940, 267, 8978, 5726, 543, 2679, 8804, 269, 634, 9858, 786, 6157, 991, 547, 9096, 513, 3102, 9043, 540, 741, 7500, 538, 1931, 547, 3489, 741, 2511, 4110, 1982, 28730, 269, 1703, 616, 6266, 540, 2609, 540, 519, 4056, 779, 960, 1604, 602, 666, 1860, 1010, 7607, 607, 1134, 607, 1283, 2298, 269, 15316, 2010, 540, 9036, 949, 991, 1585, 2553, 547, 519, 1505, 799, 789, 991, 547, 581, 5340, 267, 543, 519, 12665, 693, 606, 11265, 2754, 1522, 8415, 1585, 2409, 4470, 2390, 519, 2186, 540, 960, 1604, 269, 2368, 8030, 1902, 513, 1390, 4308, 540, 942, 2324, 538, 835, 3877, 4055, 1247, 1585, 824, 8030, 1902, 782, 540, 741, 942, 5665, 538, 606, 7357, 1114, 1858, 269, 21277, 1424, 513, 1134, 268, 23457, 960, 1604, 568, 1898, 547, 519, 1967, 540, 519, 9858, 269, 634, 3803, 25246, 540, 519, 9036, 3322, 519, 9367, 269, 634, 9703, 9367, 3132, 519, 1374, 543, 849, 5965, 585, 519, 16538, 543, 608, 614, 12542, 540, 513, 2497, 269, 634, 5251, 16413, 1711, 519, 32005, 6753, 267, 19211, 543, 849, 4054, 269, 634, 6240, 540, 606, 11265, 2754, 14122, 513, 1434, 4308, 540, 9316, 1063, 519, 16413, 267, 11255, 9367, 543, 849, 5251, 16413, 269, 1879, 621, 25701, 547, 3384, 513, 3028, 1604, 267, 519, 2754, 3340, 547, 581, 2731, 6896, 269, 1403, 606, 11653, 2754, 568, 711, 5393, 6896, 267, 972, 666, 581, 606, 9000, 540, 2298, 22059, 267, 799, 1522, 1267, 538, 519, 2489, 17528, 540, 519, 1870, 269, 0, 763, 3390, 540, 4567, 607, 14621, 519, 9038, 543, 519, 8951, 568, 1018, 9598, 919, 519, 1259, 538, 799, 9038, 543, 8951, 616, 9833, 538, 519, 2680, 602, 789, 29875, 519, 11311, 3009, 540, 2932, 602, 568, 11911, 547, 741, 9757, 25469, 269, 4340, 547, 3171, 514, 2006, 267, 538, 6935, 547, 519, 1514, 4567, 2203, 267, 646, 11339, 602, 519, 2367, 723, 513, 4567, 602, 568, 9120, 547, 602, 540, 2021, 269, 24613, 676, 519, 2203, 593, 1514, 4567, 267, 1287, 2367, 786, 811, 1419, 982, 711, 3068, 606, 30369, 6268, 267, 1058, 789, 29875, 519, 11311, 3009, 540, 2932, 585, 741, 4008, 713, 568, 1317, 267, 519, 18670, 1797, 602, 789, 6336, 1362, 950, 789, 1821, 5573, 689, 513, 4567, 540, 513, 2362, 2470, 547, 513, 4567, 602, 568, 1970, 269, 1280, 2021, 8164, 789, 1821, 5573, 689, 9228, 7592, 616, 10924, 547, 581, 13321, 689, 513, 2539, 4567, 547, 513, 2362, 4567, 269, 9747, 519, 1514, 8226, 609, 2543, 547, 519, 18670, 540, 4008, 1909, 11475, 568, 2318, 547, 513, 1804, 6708, 563, 3891, 28282, 344, 267, 2687, 547, 918, 9404, 601, 543, 16026, 630, 1001, 272, 264, 568, 968, 1492, 1184, 540, 3310, 1141, 649, 1451, 547, 7118, 652, 569, 9784, 513, 1062, 540, 4978, 543, 2853, 602, 1898, 2800, 721, 267, 1247, 2324, 547, 27481, 519, 4690, 540, 1866, 945, 723, 1379, 936, 721, 892, 630, 335, 269, 476, 280, 1040, 901, 1797, 602, 30566, 545, 27828, 814, 1808, 3029, 540, 27828, 267, 543, 1346, 602, 798, 711, 18220, 519, 1034, 13988, 6848, 3029, 540, 27828, 616, 2938, 607, 1447, 982, 610, 968, 1278, 338, 892, 630, 3519, 24274, 1299, 11619, 619, 577, 28704, 267, 476, 1220, 276, 1040, 901, 30566, 545, 27828, 4523, 1813, 547, 2367, 2348, 513, 4250, 585, 4376, 602, 1131, 581, 2808, 21522, 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 ]
[ 621, 1247, 596, 1445, 593, 1818, 8949, 21097, 2439, 3086, 602, 596, 917, 1018, 20104, 12957, 568, 543, 875, 621, 666, 948, 596, 538, 4948, 1272, 267, 1589, 827, 2081, 596, 666, 4019, 713, 1523, 547, 824, 2127, 267, 971, 607, 12180, 707, 1353, 8430, 267, 5883, 7622, 26050, 267, 610, 4058, 2621, 609, 2828, 269, 5457, 267, 20104, 12957, 3085, 1405, 2141, 1611, 2870, 1950, 1949, 269, 6884, 267, 5329, 1919, 2241, 543, 3608, 2306, 782, 519, 3017, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2752, 12087, 4041, 1923, 8222, 281, 1015, 269, 20385, 4510, 270, 2181, 21646, 1708, 23714, 269, 22650, 277, 18192, 272, 454, 20428, 281, 10334, 1656, 5020, 7070, 267, 4437, 17190, 1656, 17449, 10334, 27511, 281, 8311, 15299, 282, 2150, 1173, 9643, 282, 2527, 1606, 1051, 668, 4479, 282, 1930, 21299, 282, 6915, 514, 26197, 454, 15697, 281, 476, 274, 5988, 476, 1708, 274, 630, 6860, 281, 1626, 281, 876, 595, 4953, 994, 308, 660, 1173, 9643, 8311, 15299, 568, 513, 3532, 1907, 585, 7893, 543, 1620, 1950, 6211, 2447, 31559, 269, 1717, 267, 7694, 267, 6915, 514, 26197, 543, 19654, 2079, 540, 2527, 26563, 4479, 630, 5960, 264, 1239, 666, 581, 18447, 585, 538, 23024, 27624, 3755, 269, 26597, 1930, 21299, 543, 1863, 3562, 14025, 1239, 4393, 543, 2079, 2645, 2291, 585, 1585, 2150, 1173, 9643, 9049, 4485, 267, 1519, 5277, 669, 549, 2173, 520, 2762, 630, 9448, 1070, 855, 7446, 519, 2048, 322, 8091, 685, 18180, 3884, 1406, 2786, 268, 3453, 269, 901, 5850, 267, 538, 598, 18191, 4233, 609, 513, 3593, 7888, 2228, 3391, 6799, 513, 20104, 585, 8220, 891, 2645, 547, 1184, 267, 20272, 543, 14391, 622, 1585, 2150, 1173, 9643, 9049, 14449, 269, 634, 20104, 568, 5497, 547, 3391, 19253, 268, 2218, 2079, 538, 1931, 547, 1217, 3375, 6194, 3823, 14427, 543, 942, 21791, 798, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 13480, 6503, 28290, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 8433, 28290, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 476, 279, 269, 272, 5678, 24727, 538, 6301, 1633, 3624, 692, 294, 22901, 902, 267, 1762, 17701, 256, 4653, 267, 649, 3513, 7832, 593, 606, 3078, 3460, 547, 1451, 827, 1893, 4507, 538, 22163, 3624, 269, 5620, 596, 2479, 9289, 875, 1004, 5968, 538, 971, 513, 1804, 2197, 286, 1215, 798, 789, 1118, 2386, 3025, 17358, 1142, 824, 950, 972, 616, 865, 1082, 1114, 4654, 9275, 286, 4270, 267, 1577, 781, 4685, 883, 519, 4241, 1158, 540, 1893, 4058, 2439, 14611, 1633, 3624, 814, 513, 2551, 540, 936, 476, 272, 5479, 1004, 267, 6340, 811, 982, 476, 9873, 3982, 4654, 256, 1677, 2327, 5347, 2792, 1851, 922, 3309, 2950, 267, 519, 2229, 3964, 1893, 4507, 2429, 1686, 269, 2290, 1713, 24182, 729, 519, 13319, 540, 13495, 18288, 630, 21607, 517, 724, 7699, 264, 607, 519, 4013, 1893, 1282, 519, 4571, 268, 736, 628, 2540, 269, 901, 3375, 6322, 547, 796, 1518, 519, 4182, 8059, 12264, 543, 7520, 2069, 267, 2923, 267, 543, 11889, 12602, 780, 3719, 1018, 1281, 621, 1491, 547, 2936, 971, 513, 7372, 1689, 286, 2913, 781, 4952, 6000, 607, 2370, 10409, 27568, 3743, 585, 13321, 938, 5318, 22657, 883, 513, 18900, 1747, 1141, 16764, 666, 598, 2091, 24672, 269, 3371, 616, 930, 3268, 649, 1522, 2015, 1384, 3721, 476, 272, 281, 29922, 606, 24722, 5678, 454, 300, 663, 18288, 267, 849, 1634, 607, 10925, 517, 724, 7699, 267, 2968, 519, 6074, 835, 1813, 547, 1896, 2188, 269, 17616, 267, 621, 1185, 519, 1034, 5065, 10529, 3379, 547, 824, 4654, 269, 19627, 267, 1373, 519, 1893, 540, 519, 3854, 2749, 19864, 267, 13495, 18288, 5645, 3140, 4644, 543, 31449, 269, 7831, 855, 711, 2547, 267, 5009, 13495, 18288, 1223, 5732, 8115, 6237, 13103, 676, 3246, 3160, 3255, 585, 782, 4961, 780, 3721, 476, 273, 281, 18964, 22685, 5406, 454, 2414, 1205, 1004, 9599, 827, 1565, 13495, 18288, 267, 649, 991, 9159, 2200, 256, 5994, 1187, 27977, 10023, 7874, 3197, 945, 4001, 721, 6863, 998, 6952, 344, 8964, 267, 7317, 3756, 267, 543, 10477, 960, 9248, 269, 3958, 267, 7641, 2982, 267, 9413, 267, 543, 27143, 538, 13495, 18288, 1058, 1831, 4922, 2139, 267, 1818, 1565, 11791, 543, 3015, 780, 3721, 476, 274, 281, 25417, 645, 13308, 4065, 454, 24823, 622, 13495, 18288, 4245, 883, 1153, 21195, 689, 606, 2038, 2085, 267, 3850, 1053, 547, 7930, 1020, 741, 1983, 7258, 741, 3993, 11469, 269, 11334, 1590, 4309, 2866, 547, 5838, 2500, 6044, 267, 4180, 1164, 7779, 2069, 585, 1169, 1126, 269, 5015, 267, 5356, 29599, 2238, 899, 4633, 733, 3949, 267, 12416, 15731, 267, 610, 4050, 5493, 3292, 666, 18663, 10453, 543, 6536, 17052, 2066, 4525, 780, 3721, 476, 275, 281, 23840, 11150, 454, 15307, 28344, 2312, 4808, 585, 1857, 2533, 267, 4213, 267, 543, 5238, 3823, 1893, 6165, 269, 3629, 15314, 585, 3906, 1210, 13495, 18288, 538, 3232, 4238, 267, 8716, 873, 547, 3565, 9797, 2509, 3084, 9322, 269, 5047, 267, 2870, 3593, 7888, 21594, 267, 6121, 332, 1513, 267, 543, 8144, 2645, 666, 4217, 2043, 28006, 547, 13495, 18288, 780, 3721, 476, 276, 281, 18554, 18776, 1299, 17797, 22353, 454, 19894, 10526, 948, 2697, 2127, 8506, 6454, 267, 7175, 11941, 547, 4507, 543, 24099, 4485, 9935, 269, 19415, 5702, 547, 5955, 689, 7855, 267, 3237, 267, 543, 1053, 267, 6220, 10372, 547, 3986, 1565, 2833, 11179, 780, 3086, 267, 15210, 2828, 267, 4952, 26164, 519, 6909, 7004, 4547, 827, 676, 891, 3646, 1107, 6634, 540, 1004, 14379, 3927, 267, 4687, 2984, 267, 2679, 4296, 267, 543, 14120, 2686, 4763, 256, 2755, 2591, 6414, 267, 7598, 15826, 1893, 4507, 533, 2314, 519, 1259, 585, 513, 17321, 2104, 4904, 609, 11995, 7399, 269, 1924, 1985, 942, 596, 3643, 3624, 267, 1810, 1405, 7340, 547, 2671, 707, 9241, 9715, 1702, 543, 4497, 538, 17175, 7391, 609, 17137, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 24336, 5678, 267, 9177, 267, 543, 5980, 257, 5497, 585, 1762, 1453, 563, 2171, 723, 2907, 4988, 3184, 4433, 264, 834, 272, 269, 4985, 2580, 834, 273, 269, 12793, 540, 4654, 538, 4457, 2528, 543, 2486, 2580, 834, 274, 269, 18882, 540, 519, 4457, 1893, 2580, 834, 275, 269, 18726, 1894, 609, 15231, 4654, 2580, 834, 276, 269, 4886, 540, 22463, 2580, 834, 277, 269, 5678, 17066, 2580, 834, 278, 269, 12472, 540, 4457, 1603, 257, 543, 616, 1631, 1603, 513, 3184, 593, 834, 279, 269, 5678, 4507, 538, 20523, 3624, 8487, 2791, 786, 581, 1603, 519, 1101, 1016, 15492, 585, 713, 3184, 563, 2237, 519, 1007, 1016, 15492, 11331, 834, 279, 269, 272, 269, 5678, 4507, 538, 22163, 3624, 257, 1247, 3843, 547, 581, 912, 268, 21004, 910, 596, 1711, 4101, 9499, 602, 3382, 519, 1570, 538, 3178, 563, 268, 12056, 910, 707, 9499, 723, 513, 2239, 9095, 543, 2502, 3159, 267, 899, 519, 1603, 540, 7812, 11066, 563, 268, 11930, 910, 596, 946, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 8855, 713, 1770, 568, 5497, 585, 1762, 1453, 2835, 267, 865, 946, 1360, 2241, 267, 4948, 1913, 543, 2453, 602, 513, 476, 1015, 4458, 6040, 1131, 3362, 1174, 269, 15681, 606, 2502, 543, 28292, 1650, 543, 2057, 1022, 1950, 2035, 610, 2930, 2474, 0, 1012, 12005, 14409, 609, 5124, 543, 7046, 20302, 692, 15862, 4393, 568, 513, 4241, 2361, 602, 3322, 22392, 3059, 2592, 1210, 6310, 4238, 547, 3035, 513, 5551, 3977, 269, 769, 713, 1770, 267, 649, 786, 2263, 3239, 4393, 1210, 5124, 543, 513, 3532, 5399, 1572, 7046, 20302, 780, 2162, 7046, 20302, 543, 5124, 692, 15411, 20302, 630, 15411, 11905, 8950, 17496, 7732, 264, 568, 513, 2442, 5399, 1031, 585, 1483, 6066, 2780, 5075, 269, 898, 814, 1044, 2919, 547, 1683, 513, 1455, 5989, 585, 2780, 5075, 3156, 269, 1284, 666, 946, 7046, 20302, 609, 5124, 547, 1685, 1585, 3239, 4393, 4247, 780, 6524, 649, 1376, 267, 1577, 781, 3888, 7046, 20302, 543, 1104, 519, 2556, 8021, 269, 1411, 666, 3888, 7046, 20302, 1210, 10398, 1384, 8199, 26921, 3888, 1930, 29764, 1790, 3155, 454, 7884, 3086, 267, 1577, 781, 1104, 519, 2556, 8021, 1384, 3499, 7090, 454, 5814, 20956, 273, 454, 5814, 11885, 607, 5286, 454, 7884, 2162, 3400, 903, 7051, 23586, 692, 19445, 2592, 666, 581, 6719, 607, 513, 5119, 540, 19641, 267, 1141, 1142, 18920, 814, 513, 2681, 1871, 269, 1452, 2681, 2418, 616, 2356, 6719, 538, 681, 16412, 630, 16446, 267, 5682, 267, 9791, 264, 610, 645, 16165, 630, 23325, 267, 5682, 267, 4414, 264, 3898, 269, 1717, 267, 585, 1082, 3239, 4393, 4247, 267, 621, 568, 811, 3608, 547, 960, 609, 1178, 903, 7051, 2592, 780, 294, 7590, 7051, 2592, 616, 2582, 7302, 14128, 2592, 1141, 1142, 18920, 814, 513, 2582, 8515, 1871, 267, 8151, 689, 476, 271, 630, 18872, 264, 547, 476, 14838, 630, 19009, 1040, 1284, 666, 6460, 513, 2681, 3239, 547, 1178, 903, 7051, 1210, 519, 2387, 29764, 273, 6983, 26404, 21760, 13237, 1599, 538, 7046, 20302, 1384, 3499, 7090, 454, 326, 2001, 815, 20956, 273, 6983, 26404, 21760, 263, 574, 267, 20956, 273, 269, 4596, 299, 3036, 29758, 16165, 273, 294, 6938, 312, 994, 7884, 1103, 519, 3009, 6256, 1657, 267, 2387, 574, 319, 568, 519, 3312, 2681, 3239, 267, 543, 2387, 326, 2001, 319, 568, 519, 1178, 903, 7051, 4528, 540, 519, 3239, 269, 634, 2387, 29764, 273, 269, 4596, 299, 3036, 29758, 16165, 273, 294, 6938, 312, 319, 4661, 6645, 7046, 20302, 547, 6460, 519, 3239, 689, 645, 16165, 547, 1178, 903, 7051, 780, 2162, 9049, 2207, 3171, 1155, 24544, 692, 5960, 2207, 630, 16655, 574, 958, 853, 762, 6987, 516, 7356, 3204, 687, 264, 568, 513, 4183, 7020, 5690, 1031, 538, 2780, 5075, 269, 898, 30397, 4525, 538, 606, 3239, 602, 616, 7123, 2066, 513, 2039, 540, 29676, 269, 1452, 4525, 666, 581, 1031, 585, 1585, 4247, 267, 971, 607, 1843, 7020, 267, 3239, 26409, 267, 543, 3239, 12805, 780, 2414, 3713, 9049, 2207, 338, 538, 606, 3239, 267, 649, 1101, 991, 547, 1711, 606, 9049, 2207, 1843, 1384, 3499, 7090, 454, 916, 518, 815, 20956, 273, 269, 5960, 2207, 318, 22056, 4590, 7884, 10190, 267, 649, 666, 3713, 519, 9049, 2207, 338, 538, 519, 1178, 903, 7051, 3239, 1384, 3499, 7090, 454, 2958, 687, 267, 536, 7901, 525, 815, 20444, 518, 6155, 25018, 8802, 687, 14116, 2001, 994, 7884, 1103, 519, 3009, 6256, 1657, 267, 2387, 2958, 687, 319, 568, 513, 1592, 540, 18920, 10974, 585, 1142, 9049, 2207, 267, 543, 2387, 6277, 2135, 525, 319, 568, 513, 1592, 540, 3808, 532, 10833, 585, 1142, 9049, 2207, 269, 3962, 3808, 532, 4216, 568, 6719, 607, 513, 24042, 25464, 343, 267, 586, 267, 530, 267, 554, 264, 12452, 1141, 2387, 343, 319, 543, 2387, 344, 319, 616, 519, 10974, 540, 519, 1283, 268, 3847, 7944, 540, 519, 3808, 532, 4216, 267, 543, 2387, 342, 319, 543, 2387, 327, 319, 616, 519, 8700, 543, 4463, 540, 519, 3808, 532, 4216, 267, 6606, 780, 2162, 1230, 557, 343, 670, 1638, 692, 288, 23756, 26083, 568, 519, 10545, 23756, 20372, 602, 666, 2270, 513, 1305, 540, 2798, 269, 769, 3239, 4393, 267, 23756, 26083, 338, 616, 1419, 1031, 547, 2099, 519, 3337, 540, 606, 1843, 610, 3148, 538, 606, 3239, 780, 2171, 666, 5173, 519, 23756, 26083, 540, 513, 1305, 540, 2798, 1210, 519, 2387, 29764, 273, 26769, 557, 343, 295, 1638, 13237, 1599, 538, 7046, 20302, 1384, 3499, 7090, 454, 327, 1638, 338, 815, 1496, 29764, 273, 26769, 557, 343, 295, 1638, 9638, 269, 31412, 8987, 272, 267, 476, 272, 267, 476, 273, 4297, 585, 533, 538, 4525, 2639, 7884, 1103, 519, 3009, 6256, 1657, 267, 2387, 335, 319, 568, 513, 1305, 540, 18920, 10974, 585, 513, 2582, 9049, 2207, 267, 543, 2387, 29764, 273, 26769, 557, 343, 295, 1638, 13237, 7024, 519, 23756, 26083, 540, 1346, 2798, 269, 634, 2387, 31412, 13237, 1599, 568, 1031, 547, 18534, 1901, 519, 18920, 10974, 883, 513, 3898, 602, 7046, 20302, 666, 1174, 780, 2162, 631, 27965, 692, 300, 27965, 568, 513, 4480, 1031, 547, 28729, 12189, 2694, 540, 606, 3239, 269, 1284, 666, 1711, 513, 9633, 676, 10747, 513, 9352, 3239, 1141, 519, 19641, 649, 1616, 547, 12189, 616, 1305, 547, 476, 272, 267, 543, 519, 19641, 649, 1616, 547, 1832, 616, 1305, 547, 476, 271, 780, 1103, 519, 3009, 6256, 2630, 267, 649, 1711, 513, 9633, 585, 519, 9049, 2207, 338, 538, 519, 3239, 1384, 3499, 7090, 454, 332, 2532, 815, 5286, 25910, 9230, 574, 17482, 314, 271, 3910, 708, 17482, 314, 272, 3910, 476, 272, 1070, 546, 6943, 284, 12639, 269, 340, 842, 279, 994, 1721, 26048, 538, 26083, 338, 912, 825, 20956, 273, 6155, 3863, 6944, 2293, 9852, 2532, 267, 1496, 4186, 712, 3910, 910, 272, 267, 630, 14838, 267, 476, 14838, 267, 476, 14838, 1070, 910, 272, 994, 7884, 1103, 519, 3009, 6256, 1657, 267, 649, 1101, 1711, 513, 10145, 9633, 609, 519, 1482, 7516, 607, 519, 3312, 3239, 269, 3973, 267, 649, 621, 4733, 936, 1142, 23756, 26083, 543, 2721, 621, 593, 519, 9633, 1210, 519, 2387, 29764, 273, 6155, 3863, 6944, 2293, 13237, 1599, 780, 2162, 9779, 3772, 15051, 692, 30531, 3772, 4238, 616, 1031, 547, 1685, 9266, 4238, 593, 9352, 2592, 269, 769, 3239, 4393, 267, 649, 666, 946, 3787, 3772, 4238, 547, 9192, 610, 12189, 2592, 780, 1103, 519, 3009, 6256, 2630, 267, 649, 946, 519, 2387, 29764, 273, 269, 4226, 3772, 318, 663, 13237, 1599, 547, 9633, 782, 4525, 538, 519, 3239, 4849, 519, 9049, 2207, 338, 1384, 3499, 7090, 454, 916, 518, 318, 21671, 815, 20956, 273, 269, 4226, 3772, 318, 663, 263, 574, 267, 708, 267, 9633, 284, 332, 2532, 994, 7884, 1103, 519, 3009, 6256, 1657, 267, 2387, 574, 319, 568, 519, 3312, 2681, 3239, 267, 543, 2387, 332, 2532, 319, 568, 519, 9352, 9633, 649, 2813, 4505, 269, 634, 2387, 29764, 273, 269, 4226, 3772, 318, 663, 13237, 1599, 7024, 513, 1007, 3239, 1141, 1152, 519, 19641, 602, 616, 1305, 547, 476, 272, 538, 519, 9633, 616, 17477, 780, 2162, 10390, 692, 1103, 713, 1770, 267, 649, 723, 8268, 3239, 4393, 609, 5124, 543, 7046, 20302, 269, 1284, 723, 4121, 875, 547, 6460, 2681, 2592, 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 ]
[ 1373, 6956, 676, 13677, 2043, 269, 1280, 1383, 267, 1210, 7215, 899, 968, 599, 324, 892, 585, 968, 13433, 892, 610, 968, 933, 324, 892, 585, 968, 20791, 892, 666, 7520, 1732, 4205, 269, 3958, 267, 621, 28933, 2686, 13597, 676, 3850, 585, 4977, 8144, 540, 13677, 5931, 610, 6054, 269, 1280, 3236, 267, 621, 568, 5363, 538, 24758, 7917, 31293, 685, 9954, 610, 3140, 13677, 3332, 269, 5015, 267, 9001, 13677, 6863, 543, 2453, 2620, 839, 1620, 607, 621, 2337, 9787, 519, 14960, 540, 13677, 1893, 543, 2528, 269, 4804, 2453, 899, 968, 323, 4883, 2801, 535, 1662, 586, 518, 1088, 892, 585, 968, 18484, 1406, 5855, 892, 666, 1683, 4030, 883, 519, 2189, 3344, 540, 13677, 1893, 543, 2528, 269, 16871, 13677, 1913, 11942, 4276, 543, 7071, 267, 1818, 2792, 811, 2500, 543, 6209, 563, 9928, 2714, 880, 8239, 543, 16105, 616, 1898, 950, 6220, 13677, 18049, 543, 16522, 1314, 883, 606, 2296, 4149, 22574, 880, 6037, 1807, 269, 901, 5849, 5730, 543, 2067, 16627, 1247, 849, 4946, 13597, 547, 519, 8144, 269, 1635, 6220, 13677, 8239, 3652, 267, 971, 607, 1210, 968, 599, 324, 892, 585, 968, 13433, 892, 543, 968, 933, 324, 892, 585, 968, 20791, 2223, 519, 8144, 3587, 811, 9758, 269, 5015, 267, 1620, 519, 2189, 4845, 2497, 543, 18986, 11703, 7215, 540, 13677, 8239, 543, 16105, 6087, 513, 23704, 7503, 1063, 2296, 543, 13677, 563, 9558, 331, 908, 1063, 2296, 543, 13677, 6799, 2189, 2591, 602, 979, 3564, 1893, 3604, 269, 3962, 1016, 16687, 538, 713, 3408, 786, 8774, 1769, 593, 1808, 3344, 269, 1284, 3580, 10625, 519, 14960, 540, 6237, 7648, 543, 22463, 267, 2150, 4120, 519, 2686, 16082, 543, 18986, 1682, 602, 3337, 2495, 267, 543, 4685, 883, 519, 3140, 543, 10409, 2796, 602, 7506, 8144, 5079, 269, 5192, 4712, 547, 6330, 519, 10848, 540, 2296, 7602, 498, 13677, 8144, 543, 3605, 1946, 621, 4422, 2484, 3564, 6071, 1913, 563, 8802, 1308, 7648, 543, 22463, 616, 540, 25932, 2956, 950, 621, 2501, 547, 24758, 2296, 7602, 498, 13677, 269, 634, 10409, 4162, 1336, 538, 1114, 4525, 540, 10430, 616, 10058, 543, 1590, 581, 3144, 883, 2272, 538, 1931, 547, 3035, 5730, 8144, 269, 898, 568, 16122, 547, 2015, 7648, 538, 6863, 267, 12332, 267, 543, 8239, 269, 1677, 7753, 891, 2591, 267, 5275, 6351, 689, 5065, 13677, 10529, 543, 13461, 593, 22973, 8144, 2200, 568, 5227, 269, 898, 568, 849, 2629, 547, 1832, 538, 2247, 519, 2796, 538, 1931, 547, 2327, 2500, 8144, 563, 24292, 16082, 543, 18986, 1682, 616, 540, 25932, 2956, 950, 621, 2501, 547, 2296, 7602, 498, 13677, 8144, 269, 589, 9488, 1620, 540, 519, 1808, 7215, 543, 30351, 658, 3359, 1031, 538, 13677, 2528, 568, 1898, 585, 8236, 4977, 8144, 269, 769, 1931, 547, 3035, 713, 267, 621, 568, 2629, 547, 1491, 883, 2272, 519, 3140, 543, 10409, 2796, 267, 607, 1134, 607, 519, 6237, 7648, 543, 22463, 602, 10646, 13677, 1893, 269, 3371, 779, 513, 605, 2389, 760, 281, 4628, 9284, 532, 13951, 538, 13677, 2528, 998, 3332, 267, 2575, 267, 543, 2502, 538, 7391, 666, 3648, 3986, 835, 779, 8144, 1983, 563, 1103, 2296, 7602, 498, 13677, 8144, 267, 519, 3140, 543, 10409, 2796, 4249, 513, 4105, 1909, 269, 898, 568, 998, 1620, 713, 2796, 602, 6037, 2209, 666, 3927, 6655, 519, 2495, 543, 2686, 4644, 540, 519, 1257, 269, 1635, 18167, 883, 519, 3140, 2621, 267, 1514, 4282, 267, 543, 1893, 4720, 267, 6037, 2209, 666, 3132, 513, 21705, 543, 15520, 3617, 8144, 269, 5516, 995, 3007, 547, 6111, 543, 1469, 568, 2556, 547, 7001, 519, 16082, 540, 1312, 4654, 563, 19185, 547, 4487, 2296, 7602, 498, 13677, 8144, 286, 667, 633, 2620, 883, 519, 7706, 540, 2500, 8144, 609, 891, 3407, 4388, 269, 1955, 21670, 3054, 538, 13677, 2528, 267, 10244, 6325, 8144, 2200, 267, 543, 7148, 883, 519, 7326, 540, 5065, 13677, 10529, 269, 13028, 519, 11580, 3297, 4977, 543, 15520, 13857, 16627, 267, 30196, 513, 1158, 540, 2792, 7399, 1063, 2296, 543, 13677, 4654, 269, 5192, 4712, 547, 8115, 10409, 10616, 609, 22717, 572, 543, 13597, 269, 2913, 779, 7832, 593, 713, 3078, 3460, 1927, 2336, 2414, 3927, 14377, 1063, 2296, 543, 13677, 267, 621, 568, 16122, 547, 24559, 3054, 609, 519, 3638, 2686, 6561, 540, 10430, 269, 901, 3322, 11543, 513, 9488, 1620, 540, 13677, 5389, 267, 9821, 267, 543, 1514, 8155, 269, 1635, 9284, 532, 3054, 538, 519, 7524, 2528, 540, 10430, 267, 596, 666, 1020, 513, 7096, 7071, 585, 519, 1893, 543, 6461, 1227, 6655, 519, 6946, 2686, 16082, 538, 707, 16627, 563, 2005, 568, 4105, 547, 3343, 6351, 689, 5065, 13677, 10529, 950, 17935, 585, 3608, 2296, 7602, 498, 13677, 8144, 269, 634, 3407, 3403, 689, 891, 10529, 666, 8774, 1769, 593, 6237, 27753, 267, 2686, 11029, 2906, 267, 543, 18986, 11703, 2453, 269, 1635, 2324, 1927, 609, 873, 267, 596, 666, 10018, 5730, 543, 2796, 1302, 5078, 16627, 563, 2690, 513, 2909, 342, 942, 538, 10430, 267, 2119, 721, 514, 685, 891, 15019, 2296, 7602, 498, 13677, 22564, 1912, 29320, 269, 667, 4883, 2801, 581, 21183, 267, 2285, 621, 513, 979, 2336, 763, 11957, 540, 2796, 538, 2296, 7602, 498, 13677, 8144, 3112, 581, 936, 26061, 269, 12745, 4249, 513, 2629, 1909, 538, 8159, 519, 3617, 13677, 1913, 610, 2453, 602, 8308, 6474, 519, 5497, 2495, 538, 2296, 269, 9453, 2796, 267, 16627, 949, 3668, 6111, 543, 3111, 547, 7001, 519, 2686, 16082, 269, 898, 568, 2629, 547, 1174, 519, 4644, 540, 2796, 547, 2327, 519, 1967, 540, 8144, 1063, 891, 4654, 563, 2791, 666, 946, 519, 2296, 547, 13677, 6037, 1807, 813, 2139, 585, 21236, 10378, 269, 901, 813, 2636, 596, 547, 14377, 593, 519, 979, 543, 3565, 547, 519, 8857, 4920, 17218, 8675, 269, 15439, 4283, 707, 2296, 8360, 883, 519, 813, 267, 2824, 519, 13677, 13172, 4781, 267, 543, 519, 813, 786, 1683, 596, 609, 519, 8144, 563, 8133, 267, 519, 2296, 547, 13677, 6037, 1807, 813, 2636, 596, 547, 2671, 707, 16627, 3842, 590, 5960, 610, 1514, 5121, 269, 1411, 666, 3362, 2671, 707, 12261, 2453, 609, 707, 2828, 543, 1920, 563, 763, 945, 2129, 5622, 16691, 16896, 3896, 3091, 513, 9910, 12332, 3391, 585, 6340, 609, 513, 13677, 20020, 269, 898, 2488, 4388, 593, 20262, 4992, 543, 519, 12902, 540, 2048, 337, 685, 4992, 547, 948, 596, 3280, 811, 8076, 563, 8133, 267, 631, 622, 3091, 1863, 543, 3728, 16627, 689, 2296, 547, 29703, 717, 6130, 545, 269, 1411, 666, 946, 741, 1357, 6037, 1807, 610, 4647, 741, 5839, 610, 21236, 813, 547, 14377, 707, 2296, 2453, 883, 29703, 717, 6130, 545, 563, 8133, 267, 631, 622, 568, 2139, 585, 1585, 3457, 1519, 5672, 5308, 267, 25515, 267, 24904, 267, 32288, 2135, 267, 28709, 267, 543, 22750, 269, 1411, 666, 946, 741, 8144, 2645, 593, 891, 3457, 547, 3362, 14377, 1257, 689, 2296, 547, 29703, 717, 6130, 545, 610, 824, 4654, 563, 763, 8144, 2645, 5018, 1657, 267, 971, 607, 519, 8857, 4920, 17218, 8675, 543, 631, 622, 779, 8144, 2599, 267, 8415, 4359, 3684, 8144, 2553, 267, 1519, 2620, 1565, 543, 2067, 1893, 8144, 9817, 269, 2755, 891, 2645, 11441, 547, 1683, 4977, 16627, 267, 621, 568, 1271, 547, 4063, 602, 519, 16627, 949, 711, 2141, 7001, 519, 2407, 16082, 543, 2796, 540, 519, 3312, 1257, 563, 5978, 13172, 6037, 1807, 3096, 519, 5767, 5841, 4987, 547, 1683, 596, 609, 5730, 543, 8076, 13172, 16627, 269, 4014, 519, 8144, 2203, 568, 1869, 538, 519, 13672, 5123, 267, 649, 616, 7683, 2324, 547, 2087, 543, 11126, 621, 563, 2171, 616, 3222, 602, 972, 949, 1869, 581, 7965, 538, 24758, 689, 835, 1893, 883, 513, 13172, 269, 1284, 4061, 2307, 585, 707, 1620, 538, 519, 2680, 540, 1022, 27753, 538, 519, 8144, 540, 707, 1257, 269, 1717, 267, 649, 616, 8746, 602, 938, 16627, 786, 1869, 581, 540, 1390, 1871, 547, 596, 563, 2521, 621, 1631, 543, 3605, 519, 4763, 540, 3703, 22463, 256, 1284, 4126, 596, 786, 1265, 938, 3896, 3730, 543, 4277, 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 ]
[ 10383, 21702, 346, 274, 3287, 268, 275, 20972, 263, 343, 266, 276, 7565, 343, 268, 276, 264, 21456, 1892, 4399, 2765, 346, 274, 2410, 263, 343, 268, 276, 264, 10592, 3721, 476, 277, 281, 25092, 2066, 952, 2009, 692, 1892, 769, 713, 1383, 621, 568, 711, 692, 3721, 476, 278, 281, 1109, 8245, 680, 1518, 2417, 952, 2009, 692, 1892, 769, 713, 1383, 621, 568, 711, 692, 29806, 8382, 281, 1109, 1109, 7445, 2765, 346, 274, 2410, 263, 343, 268, 276, 264, 10592, 1607, 568, 875, 596, 25092, 543, 19147, 21929, 25285, 0, 258, 769, 6906, 13235, 267, 2427, 9474, 815, 476, 275, 4699, 267, 5086, 589, 815, 476, 1789, 11019, 267, 5086, 645, 815, 476, 3393, 11019, 269, 4855, 2427, 8028, 780, 763, 8028, 2427, 649, 991, 568, 4092, 6587, 519, 7944, 645, 269, 901, 676, 519, 2783, 2427, 9474, 568, 4092, 6587, 519, 7944, 595, 563, 2414, 4194, 519, 1966, 267, 649, 946, 519, 11532, 540, 521, 1149, 269, 1284, 2328, 1524, 519, 5223, 540, 519, 5011, 547, 519, 521, 1149, 540, 519, 6587, 7285, 543, 1205, 519, 8167, 563, 5723, 1315, 5609, 595, 815, 8028, 1315, 5609, 645, 3248, 3722, 815, 9474, 2608, 5609, 476, 3393, 11019, 1315, 5609, 476, 1789, 11019, 815, 476, 275, 2608, 20734, 273, 1315, 476, 273, 1315, 476, 272, 270, 273, 815, 476, 275, 18414, 273, 630, 9492, 1916, 12585, 281, 519, 8028, 2427, 568, 476, 275, 18414, 273, 4699, 780, 3080, 540, 519, 3334, 540, 513, 1268, 781, 1967, 538, 938, 942, 568, 8391, 2413, 1164, 7779, 2069, 267, 13215, 519, 1702, 267, 1983, 543, 5759, 2556, 585, 1272, 538, 2486, 269, 589, 1268, 2221, 2115, 547, 1353, 3592, 782, 1010, 1272, 267, 13215, 3388, 1007, 543, 1007, 267, 16565, 519, 2556, 3318, 7907, 269, 0, 10112, 18620, 11762, 13466, 3220, 269, 4569, 5851, 13466, 9612, 3220, 269, 4569, 692, 2162, 589, 25439, 20456, 692, 8199, 14630, 281, 476, 1015, 270, 2764, 270, 7176, 693, 476, 2420, 281, 3066, 281, 6860, 454, 5804, 281, 2274, 1695, 454, 20428, 281, 25439, 5832, 692, 296, 6415, 3843, 547, 4137, 856, 952, 972, 568, 513, 4542, 585, 713, 1966, 780, 2467, 568, 513, 6049, 5832, 540, 1004, 593, 513, 3210, 2319, 269, 1879, 519, 1101, 454, 17367, 4991, 513, 1289, 267, 646, 7125, 1079, 1004, 267, 1346, 1079, 1289, 1079, 811, 267, 543, 454, 26421, 1268, 7125, 1079, 811, 269, 769, 782, 267, 476, 4649, 1004, 991, 547, 581, 1572, 563, 8993, 1005, 602, 1142, 1289, 3217, 835, 8792, 267, 7447, 875, 1279, 621, 786, 454, 339, 820, 547, 1289, 476, 4649, 1004, 269, 1215, 1279, 547, 1289, 476, 1911, 1004, 286, 1215, 1279, 547, 1289, 454, 333, 1004, 2496, 2171, 723, 2907, 9112, 513, 3349, 6029, 875, 1082, 1004, 621, 3217, 454, 1729, 1289, 476, 4649, 1004, 267, 543, 875, 1082, 1004, 723, 1044, 1572, 538, 1213, 906, 454, 1993, 476, 273, 3764, 269, 1284, 723, 5462, 602, 538, 476, 273, 3764, 267, 476, 274, 1004, 723, 1044, 454, 21406, 267, 538, 476, 275, 3764, 267, 476, 278, 1004, 723, 1044, 1572, 267, 538, 476, 277, 3764, 267, 476, 1428, 454, 15161, 723, 1044, 1572, 267, 3092, 269, 634, 1101, 1268, 7125, 476, 273, 267, 789, 1289, 476, 275, 2676, 16269, 1289, 476, 279, 267, 789, 1289, 476, 1626, 267, 3092, 269, 1772, 972, 1022, 2186, 540, 4542, 547, 946, 547, 454, 29664, 856, 875, 1279, 621, 786, 1491, 547, 1289, 476, 1911, 1004, 267, 17333, 1022, 1297, 540, 454, 15161, 286, 2107, 568, 621, 1175, 607, 2653, 547, 7447, 689, 513, 5750, 952, 621, 568, 454, 331, 1263, 6533, 539, 547, 3382, 519, 1297, 540, 1004, 945, 991, 547, 581, 1572, 2496, 14188, 596, 1360, 1454, 585, 707, 948, 563, 7884, 8199, 14630, 281, 476, 1015, 270, 3066, 270, 7176, 693, 476, 1321, 281, 6812, 281, 2767, 454, 5804, 281, 16362, 25599, 454, 20428, 281, 1234, 281, 25439, 5832, 692, 17098, 267, 2274, 1695, 269, 901, 568, 1360, 4277, 256, 594, 786, 2626, 707, 2243, 1101, 2676, 8117, 1287, 594, 786, 1448, 856, 602, 519, 1966, 568, 513, 2370, 8945, 1512, 982, 454, 527, 5654, 693, 1101, 780, 2005, 568, 2653, 547, 1265, 513, 4806, 538, 519, 2338, 952, 649, 1376, 609, 707, 454, 16149, 1592, 267, 519, 1297, 540, 21832, 1004, 1572, 1169, 476, 273, 3764, 281, 476, 273, 267, 476, 275, 267, 476, 279, 2676, 1626, 267, 23099, 3962, 1297, 538, 519, 1592, 568, 7466, 519, 1297, 1318, 1354, 621, 912, 275, 815, 476, 273, 2608, 476, 273, 267, 476, 279, 815, 476, 273, 2608, 476, 275, 267, 3092, 269, 1411, 4440, 23125, 713, 856, 2907, 281, 952, 454, 26421, 1268, 7125, 476, 273, 1004, 267, 1287, 519, 1297, 540, 1004, 1572, 568, 7466, 454, 553, 1082, 607, 519, 1297, 1572, 1079, 3764, 3516, 780, 4322, 2338, 616, 519, 31266, 8991, 5508, 476, 273, 269, 634, 2034, 1297, 568, 476, 273, 2608, 476, 273, 267, 799, 454, 529, 476, 273, 16302, 610, 476, 273, 317, 273, 630, 7474, 781, 519, 1259, 649, 2328, 1384, 273, 454, 273, 692, 517, 519, 13691, 1040, 634, 476, 274, 6113, 1297, 568, 476, 273, 2608, 476, 273, 2608, 476, 273, 267, 799, 568, 476, 273, 317, 274, 267, 3092, 780, 3086, 1413, 693, 519, 2698, 1297, 540, 1004, 1572, 281, 476, 274, 267, 476, 278, 267, 476, 1428, 267, 3092, 269, 1684, 596, 454, 2254, 823, 602, 1142, 1297, 538, 519, 1101, 1592, 568, 835, 1447, 982, 519, 1985, 454, 15893, 538, 519, 2034, 1592, 286, 901, 568, 519, 4806, 649, 1294, 1384, 272, 1341, 476, 273, 17264, 815, 476, 476, 274, 815, 476, 273, 317, 273, 910, 476, 272, 454, 272, 1341, 476, 273, 1341, 476, 273, 317, 273, 11434, 815, 476, 476, 278, 815, 476, 273, 317, 274, 910, 476, 272, 454, 272, 1341, 476, 273, 1341, 476, 273, 317, 273, 1341, 476, 273, 317, 274, 815, 476, 1428, 815, 476, 273, 317, 275, 910, 476, 272, 454, 31756, 780, 2791, 666, 1294, 1946, 713, 568, 3020, 952, 596, 1589, 827, 1018, 4523, 267, 585, 454, 27349, 267, 950, 596, 1039, 476, 273, 317, 274, 547, 476, 273, 317, 274, 910, 476, 272, 780, 3086, 1577, 781, 1491, 1776, 1413, 693, 519, 1966, 269, 594, 1589, 1018, 519, 1966, 454, 338, 904, 568, 513, 2370, 1114, 689, 1018, 596, 2219, 267, 543, 713, 2370, 454, 18528, 2397, 2242, 519, 2626, 3833, 513, 3787, 780, 2791, 941, 3206, 602, 1142, 1268, 7125, 476, 273, 1004, 538, 476, 273, 3764, 267, 543, 454, 6533, 1310, 519, 476, 273, 3764, 267, 1346, 476, 273, 1004, 1142, 1289, 476, 273, 811, 1004, 269, 1809, 454, 296, 1810, 1405, 1589, 602, 568, 3833, 1018, 786, 4755, 269, 634, 1101, 1268, 7125, 454, 821, 1268, 674, 7644, 4306, 267, 2921, 476, 272, 8792, 269, 3973, 1247, 519, 1101, 1268, 2306, 513, 454, 16149, 6049, 1289, 267, 519, 1101, 1268, 1352, 1572, 568, 9338, 3918, 4696, 312, 10912, 454, 16341, 821, 3116, 256, 630, 3963, 7227, 513, 8792, 24047, 898, 786, 1413, 899, 713, 1384, 290, 8712, 829, 8792, 476, 11192, 7125, 454, 2411, 476, 28612, 734, 8894, 272, 4449, 672, 476, 272, 25639, 476, 272, 454, 266, 2411, 955, 268, 32504, 347, 4449, 672, 11406, 273, 4449, 672, 1923, 16875, 476, 272, 25639, 476, 273, 454, 266, 1366, 9339, 268, 266, 17264, 11406, 347, 25639, 1923, 17264, 11406, 274, 25639, 1923, 17264, 476, 275, 16875, 476, 273, 25639, 476, 275, 454, 266, 1366, 268, 266, 1363, 1923, 1038, 1341, 1366, 268, 32504, 347, 1363, 1923, 1363, 1923, 1038, 1923, 1363, 11406, 276, 1363, 1923, 1363, 476, 277, 1038, 476, 278, 1363, 1923, 672, 476, 274, 25639, 476, 278, 454, 266, 955, 268, 266, 672, 1923, 825, 1341, 9339, 268, 266, 567, 1341, 19203, 266, 11434, 11406, 347, 672, 1923, 672, 1923, 825, 1923, 11434, 1923, 567, 1923, 567, 1923, 11434, 11406, 279, 672, 1923, 672, 476, 280, 567, 476, 1015, 11434, 1923, 476, 476, 1556, 567, 1923, 8587, 476, 1321, 672, 476, 276, 25639, 476, 1321, 692, 31094, 476, 272, 7125, 1268, 476, 273, 1101, 267, 1287, 1268, 476, 275, 267, 855, 538, 519, 29291, 454, 17367, 476, 273, 568, 2907, 10912, 1268, 476, 274, 269, 1684, 596, 1294, 875, 621, 4422, 2496, 296, 723, 7396, 875, 1082, 1004, 616, 1572, 1142, 32745, 7473, 292, 630, 2254, 1169, 476, 273, 454, 2381, 2373, 1040, 1403, 596, 1616, 547, 5635, 621, 609, 1018, 596, 1336, 267, 3314, 547, 454, 339, 820, 713, 3017, 883, 2272, 780, 8450, 952, 596, 666, 4137, 856, 875, 519, 4806, 5170, 269, 1403, 596, 723, 4862, 454, 1993, 519, 25828, 2338, 267, 596, 3513, 1205, 519, 2856, 269, 3973, 596, 666, 1832, 454, 20761, 519, 1592, 267, 4946, 909, 607, 596, 979, 2394, 519, 2040, 540, 782, 519, 2338, 454, 514, 519, 1592, 10301, 476, 4649, 780, 2080, 568, 513, 1747, 547, 1413, 585, 1344, 593, 25828, 2338, 1384, 10674, 2517, 4118, 1721, 636, 3820, 7933, 337, 269, 4118, 11721, 26698, 11721, 26698, 3052, 1245, 523, 269, 7806, 1470, 11258, 692, 268, 16362, 25599, 267, 634, 4569, 17072, 454, 10674, 2517, 4118, 1721, 636, 3820, 7933, 337, 269, 4118, 13045, 8199, 10112, 18620, 11762, 912, 11947, 3427, 2598, 4740, 9119, 692, 15507, 519, 3220, 269, 4569, 7732, 1384, 4855, 3688, 5627, 630, 1584, 5624, 1063, 17161, 2567, 5231, 8437, 1152, 2899, 585, 5488, 2164, 281, 1496, 7994, 834, 3369, 1961, 1913, 257, 950, 10478, 585, 513, 2262, 899, 2085, 20426, 782, 17161, 267, 538, 1022, 1931, 693, 2547, 835, 267, 602, 3169, 8360, 2694, 540, 1913, 2898, 1913, 692, 8138, 2466, 707, 1378, 2243, 547, 3220, 269, 4569, 454, 13043, 17072, 5851, 13466, 4569, 7732, 13466, 16797, 13129, 13466, 4569, 17072, 9612, 0, 258, 1215, 547, 16534, 9978, 26344, 6248, 12307, 692, 2691, 6061, 25066, 4834, 267, 621, 779, 1360, 1271, 547, 1331, 782, 519, 3435, 256, 2334, 1797, 596, 723, 547, 581, 3222, 540, 519, 1974, 540, 519, 1599, 596, 616, 2324, 609, 543, 875, 621, 7506, 519, 1297, 540, 3435, 780, 305, 2544, 692, 2162, 9978, 307, 3419, 517, 6248, 13420, 725, 692, 2691, 1269, 320, 14720, 22174, 1422, 28783, 3189, 22364, 24877, 271, 269, 1704, 655, 2410, 271, 1410, 14990, 3847, 15631, 272, 267, 272, 9368, 316, 259, 543, 1269, 333, 22174, 21508, 353, 8961, 519, 1739, 568, 3020, 1384, 7445, 8218, 15204, 2410, 961, 961, 4153, 327, 15640, 1422, 9507, 346, 7562, 26507, 30381, 22382, 343, 261, 815, 340, 266, 333, 24206, 476, 273, 19570, 1422, 28783, 3189, 22364, 346, 273, 655, 2410, 271, 1410, 3686, 261, 1422, 327, 15640, 1299, 1422, 28783, 3189, 22364, 346, 273, 655, 2410, 271, 1410, 3686, 11138, 1422, 327, 15640, 1535, 261, 31386, 7032, 910, 340, 266, 333, 24206, 476, 273, 19570, 1422, 28783, 3189, 22364, 346, 273, 655, 2410, 271, 1410, 3686, 261, 1422, 327, 15640, 1299, 1422, 28783, 3189, 22364, 346, 273, 655, 2410, 271, 1410, 3686, 11138, 1422, 327, 15640, 1422, 9507, 346, 6523, 26507, 284, 321, 22382, 343, 261, 815, 340, 266, 333, 24206, 476, 273, 19570, 1422, 28783, 3189, 22364, 346, 273, 655, 2410, 271, 1410, 3686, 261, 1422, 327, 15640, 1299, 1422, 28783, 3189, 22364, 346, 273, 655, 2410, 271, 1410, 3686, 11138, 1422, 327, 15640, 1535, 261, 815, 268, 340, 266, 333, 24206, 476, 273, 19570, 1422, 28783, 3189, 22364, 346, 273, 655, 2410, 271, 1410, 3686, 261, 1422, 327, 15640, 1299, 1422, 28783, 3189, 22364, 346, 273, 655, 2410, 271, 1410, 3686, 11138, 1422, 327, 15640, 1422, 9507, 346, 11927, 26507, 284, 322, 22382, 343, 261, 815, 340, 266, 333, 24206, 1422, 7032, 1422, 28783, 3189, 22364, 346, 273, 655, 2410, 271, 1410, 3686, 261, 1422, 327, 15640, 1299, 1422, 28783, 3189, 22364, 346, 273, 655, 2410, 271, 1410, 14990, 754, 15204, 10592, 7445, 8218, 15204, 2410, 961, 961, 4153, 327, 15640, 1422, 9507, 346, 7562, 26507, 30381, 22382, 343, 261, 815, 340, 266, 333, 24206, 476, 273, 19570, 1422, 28783, 3189, 22364, 346, 272, 655, 2410, 271, 1410, 14990, 557, 324, 1422, 28783, 3189, 22364, 346, 272, 655, 2410, 271, 1410, 3686, 343, 7807, 7032, 910, 340, 266, 333, 24206, 476, 273, 19570, 1422, 28783, 3189, 22364, 346, 273, 655, 2410, 271, 1410, 3686, 261, 1422, 327, 15640, 1299, 1422, 28783, 3189, 22364, 346, 273, 655, 2410, 271, 1410, 3686, 11138, 1422, 327, 15640, 1422, 9507, 346, 6523, 26507, 284, 321, 22382, 343 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 799, 616, 3964, 676, 519, 10579, 540, 10871, 6554, 267, 543, 4196, 607, 519, 5207, 2797, 6392, 538, 1142, 8664, 269, 1358, 2874, 540, 912, 1892, 519, 10588, 12751, 15445, 267, 12912, 676, 519, 5518, 540, 519, 6243, 454, 1892, 835, 1268, 689, 1142, 21146, 1858, 1369, 519, 8664, 11221, 676, 8471, 2937, 27049, 454, 1892, 519, 4759, 610, 2818, 540, 14618, 689, 519, 14218, 4293, 602, 2887, 1369, 519, 1858, 540, 6392, 540, 519, 10588, 13909, 454, 1892, 824, 2818, 602, 4927, 711, 9765, 13977, 829, 1298, 540, 519, 2698, 15376, 540, 519, 10588, 13909, 12912, 676, 519, 5518, 538, 15360, 609, 519, 2757, 8128, 543, 824, 1719, 2516, 538, 519, 8664, 454, 305, 1961, 540, 631, 13270, 4753, 338, 454, 763, 10588, 12751, 15445, 568, 12912, 676, 519, 5518, 540, 519, 6243, 543, 5713, 607, 519, 11347, 540, 519, 6239, 6554, 538, 519, 8664, 269, 634, 1651, 3518, 550, 1095, 1938, 693, 11401, 540, 519, 15445, 9730, 540, 519, 10588, 13909, 267, 543, 568, 3743, 585, 912, 1892, 519, 1554, 3562, 6377, 2773, 540, 519, 10324, 543, 11889, 3252, 540, 519, 10588, 13909, 454, 1892, 519, 15569, 540, 519, 13623, 540, 519, 10588, 13909, 454, 293, 17313, 540, 631, 13270, 2026, 454, 2026, 519, 2797, 543, 11889, 8128, 936, 519, 13102, 267, 519, 3119, 1599, 540, 10588, 1306, 5145, 15533, 568, 547, 3895, 2199, 2804, 1646, 563, 763, 10871, 6554, 2920, 540, 476, 1001, 277, 849, 4247, 10588, 1306, 5145, 15533, 547, 912, 1892, 25666, 543, 14892, 4566, 267, 3292, 543, 2994, 585, 519, 2500, 4254, 16478, 540, 519, 2200, 2556, 585, 519, 2949, 1646, 540, 519, 8664, 454, 1892, 3895, 543, 1489, 11327, 2534, 543, 1514, 1646, 538, 519, 8664, 543, 4894, 1022, 9465, 547, 11036, 543, 1646, 454, 1892, 13384, 528, 519, 2069, 540, 1053, 689, 519, 8664, 547, 6445, 1880, 812, 12741, 2115, 540, 519, 8664, 2523, 538, 519, 1514, 9922, 540, 2069, 543, 1072, 267, 1818, 2386, 602, 519, 13384, 11208, 568, 9425, 543, 1226, 19935, 7059, 1063, 5256, 543, 4775, 1053, 454, 1892, 20006, 3292, 585, 519, 1646, 540, 2596, 5989, 543, 1683, 18513, 1568, 543, 2533, 538, 519, 8664, 454, 1892, 581, 3743, 585, 519, 1646, 267, 6454, 543, 2359, 540, 1480, 17260, 543, 519, 1604, 538, 519, 8664, 454, 1892, 538, 1071, 268, 7774, 609, 519, 3617, 3084, 543, 2199, 3354, 8041, 267, 581, 3743, 585, 519, 5826, 540, 3354, 543, 1857, 3106, 538, 519, 8664, 454, 1892, 2327, 4712, 1569, 547, 10470, 538, 519, 8664, 585, 519, 13319, 540, 5126, 454, 1892, 957, 547, 8190, 543, 3895, 519, 2686, 6561, 1369, 519, 8664, 454, 1892, 20006, 267, 13384, 528, 610, 4163, 856, 2090, 602, 949, 581, 2556, 585, 519, 11166, 540, 1022, 540, 741, 11645, 454, 763, 2920, 849, 14828, 519, 10588, 1306, 5145, 15533, 609, 519, 1739, 8128, 912, 1892, 589, 25934, 6455, 267, 607, 3177, 676, 519, 589, 25934, 19833, 2920, 267, 476, 2735, 280, 630, 303, 12991, 6185, 5861, 11482, 269, 476, 15996, 994, 1892, 700, 1172, 528, 24416, 267, 607, 3177, 676, 519, 700, 1172, 528, 13397, 14819, 2920, 267, 476, 3192, 271, 630, 8002, 476, 28664, 994, 1892, 6513, 17382, 18394, 267, 607, 3177, 676, 519, 6513, 543, 10644, 540, 17312, 18394, 2920, 267, 476, 1960, 271, 630, 303, 12991, 6185, 5861, 11482, 269, 476, 26631, 994, 1892, 13079, 1393, 519, 1739, 14074, 540, 519, 22518, 5510, 1878, 2920, 267, 476, 3422, 271, 630, 8002, 476, 3066, 264, 1369, 922, 8664, 281, 3296, 476, 30640, 538, 2463, 540, 18530, 6299, 321, 880, 538, 519, 8265, 282, 543, 3296, 476, 4968, 538, 2463, 540, 30065, 12418, 454, 2414, 22339, 1047, 2659, 15733, 2107, 7896, 267, 7490, 11910, 270, 1432, 338, 1952, 281, 476, 4962, 278, 30663, 3583, 278, 8064, 454, 2690, 23549, 543, 824, 13668, 267, 7490, 19478, 4757, 11333, 2593, 0, 294, 664, 513, 9488, 4367, 547, 519, 17950, 540, 1966, 6061, 609, 713, 1576, 269, 901, 1576, 786, 3382, 519, 1898, 2645, 267, 2553, 543, 16097, 585, 1966, 6061, 267, 4758, 30896, 519, 6015, 547, 8362, 7119, 538, 1966, 9010, 6887, 269, 4804, 4093, 786, 3382, 519, 3498, 540, 1883, 2645, 538, 1931, 547, 1020, 7347, 267, 4264, 3435, 602, 723, 513, 2462, 1764, 593, 2298, 563, 17345, 2776, 1613, 1107, 513, 2776, 1613, 540, 519, 1576, 568, 2139, 1863, 540, 5279, 269, 8437, 593, 15099, 543, 3442, 2776, 1613, 563, 1607, 476, 1015, 8792, 12744, 2488, 606, 4316, 547, 2070, 930, 540, 519, 1570, 538, 5149, 476, 272, 563, 16215, 476, 272, 910, 4985, 454, 1103, 713, 5149, 649, 1413, 693, 1946, 17848, 20531, 5811, 568, 1271, 543, 1683, 606, 7650, 540, 519, 1114, 4485, 547, 17848, 20531, 2079, 454, 16215, 476, 273, 910, 623, 732, 1729, 5811, 454, 303, 732, 1729, 5811, 568, 513, 1883, 1907, 538, 17848, 20531, 5811, 543, 621, 568, 4330, 1934, 2059, 609, 930, 4052, 5796, 585, 1210, 621, 563, 16215, 476, 274, 910, 19043, 543, 9046, 13517, 454, 1103, 17848, 20531, 5811, 596, 991, 547, 581, 2111, 547, 4766, 519, 1966, 543, 2708, 922, 4644, 269, 769, 713, 5149, 267, 649, 1413, 693, 2081, 713, 666, 581, 6913, 563, 16215, 476, 275, 910, 26155, 9346, 717, 10603, 7491, 340, 454, 294, 655, 9346, 717, 10603, 7491, 340, 568, 513, 19270, 1047, 13979, 547, 17848, 20531, 5811, 454, 16215, 476, 276, 910, 476, 279, 291, 267, 7033, 3894, 267, 20531, 543, 6356, 30894, 543, 11020, 10445, 532, 454, 1607, 5149, 6227, 2185, 1114, 3584, 281, 634, 18043, 1935, 547, 17848, 20531, 5811, 1572, 476, 279, 291, 267, 543, 519, 946, 540, 1614, 2553, 910, 7033, 3894, 267, 20531, 543, 6356, 30894, 543, 11020, 10445, 532, 454, 16215, 476, 277, 910, 12834, 543, 19171, 4934, 454, 2171, 1491, 513, 1413, 1394, 693, 1018, 649, 723, 19927, 543, 2491, 875, 547, 2347, 519, 1576, 13658, 0, 22349, 5268, 903, 269, 808, 1421, 476, 7597, 272, 267, 476, 1911, 276, 268, 9083, 271, 630, 1220, 280, 270, 21938, 268, 272, 994, 763, 561, 3591, 3660, 1145, 540, 1459, 6377, 15270, 281, 4296, 547, 519, 5250, 540, 6801, 267, 519, 3114, 4720, 540, 15270, 267, 543, 519, 2208, 540, 3109, 9475, 563, 3918, 2975, 295, 19181, 570, 6993, 1421, 670, 4488, 298, 32602, 570, 8160, 1421, 681, 11070, 301, 27912, 717, 1421, 19836, 2562, 6224, 32602, 301, 808, 1421, 918, 288, 308, 13697, 32602, 301, 717, 269, 543, 654, 6579, 291, 966, 563, 20082, 630, 5228, 7131, 306, 2187, 288, 2518, 561, 3591, 3660, 1145, 538, 519, 3892, 540, 519, 6801, 543, 3154, 568, 1455, 538, 15270, 269, 898, 568, 5156, 547, 10250, 513, 9039, 638, 10329, 3846, 673, 1533, 3361, 676, 12388, 619, 267, 23864, 4205, 267, 12623, 13240, 934, 4958, 542, 540, 3154, 267, 610, 12623, 5471, 1845, 1644, 547, 519, 4158, 2339, 10300, 334, 269, 1284, 723, 1031, 519, 590, 5979, 534, 7913, 21708, 11752, 630, 16256, 7704, 264, 547, 22738, 606, 7634, 540, 561, 3591, 3660, 1145, 538, 513, 3732, 540, 3980, 376, 1839, 267, 476, 1822, 7404, 15270, 630, 345, 283, 476, 271, 269, 6187, 1040, 1284, 946, 519, 544, 815, 476, 272, 20842, 574, 3578, 531, 22263, 7154, 1063, 519, 476, 2004, 260, 543, 476, 3445, 260, 1769, 2234, 4512, 607, 938, 2268, 540, 561, 3591, 3660, 1145, 269, 634, 12676, 7704, 26034, 616, 1031, 547, 2268, 519, 3601, 540, 519, 6801, 267, 3154, 267, 543, 3109, 8559, 538, 519, 3844, 2173, 739, 1906, 10275, 335, 322, 8397, 3148, 269, 1284, 1397, 602, 972, 568, 513, 2178, 3095, 1063, 561, 3591, 3660, 1145, 538, 519, 9018, 2694, 540, 519, 7523, 12519, 12210, 543, 519, 6107, 540, 519, 24974, 2551, 538, 519, 3844, 3148, 269, 901, 3095, 568, 4830, 540, 519, 824, 7293, 3601, 540, 519, 14925, 269, 1452, 2164, 1683, 513, 7347, 8579, 18572, 540, 519, 4296, 1063, 934, 4958, 542, 270, 5793, 13905, 270, 1067, 7970, 543, 519, 4611, 5182, 5250, 269, 1284, 849, 1397, 602, 15895, 338, 538, 519, 14925, 2527, 31475, 28351, 640, 6935, 30136, 609, 561, 3591, 3660, 1145, 630, 520, 6378, 2527, 267, 519, 811, 4496, 1790, 3233, 15270, 616, 811, 561, 3591, 3660, 1040, 901, 5267, 602, 519, 2621, 4929, 561, 3591, 3660, 1145, 543, 8476, 5182, 5250, 5838, 2539, 17285, 640, 3154, 883, 519, 14925, 781, 3844, 3148, 269, 7053, 267, 649, 1265, 602, 972, 568, 513, 7678, 585, 519, 811, 3532, 3742, 7523, 12519, 22140, 630, 1492, 811, 6385, 3395, 3109, 9475, 264, 547, 581, 18799, 676, 811, 561, 3591, 3660, 15270, 630, 520, 6378, 14925, 2527, 267, 5860, 267, 610, 5834, 1040, 1717, 267, 952, 649, 5635, 5439, 20083, 547, 723, 1312, 519, 1482, 3889, 543, 3844, 24974, 5095, 267, 649, 1287, 1265, 1100, 3017, 538, 561, 3591, 3660, 1145, 1063, 3742, 543, 1875, 268, 5562, 15270, 269, 11569, 267, 519, 9756, 1063, 519, 6107, 540, 519, 24974, 2551, 543, 519, 2557, 540, 3109, 8559, 2208, 568, 6793, 982, 519, 9756, 1063, 561, 3591, 3660, 1145, 543, 2901, 540, 891, 824, 1079, 3601, 269, 901, 5012, 547, 519, 1739, 4605, 269, 634, 4527, 540, 4411, 3154, 538, 519, 3844, 3148, 540, 513, 14925, 630, 597, 637, 8826, 540, 922, 5169, 264, 568, 1898, 585, 1312, 5182, 5250, 543, 3109, 8559, 2208, 269, 634, 6765, 540, 4411, 3154, 568, 29211, 676, 519, 3157, 602, 3132, 561, 3591, 3660, 1145, 269, 4033, 3157, 593, 10253, 4130, 982, 649, 666, 16785, 609, 938, 1239, 616, 2838, 547, 3560, 519, 3154, 547, 519, 3109, 8559, 563, 6549, 1314, 625, 281, 2489, 910, 15270, 281, 4205, 910, 15270, 281, 2497, 454, 8698, 519, 8100, 538, 5084, 306, 454, 2414, 1433, 5658, 713, 13214, 267, 1318, 4945, 593, 713, 3095, 281, 1138, 21112, 281, 1220, 280, 25721, 297, 1862, 7597, 272, 269, 1911, 276, 305, 543, 2824, 1412, 1504, 5658, 713, 3095, 262, 610, 6697, 538, 519, 1402, 1575, 10624, 0, 4462, 659, 1260, 3966, 1221, 18623, 4016, 547, 2043, 945, 3668, 513, 6378, 267, 2834, 267, 543, 7850, 30148, 15335, 543, 2882, 1346, 945, 616, 2713, 538, 835, 540, 519, 2630, 6381, 563, 268, 19457, 8027, 540, 824, 7606, 1813, 547, 2530, 540, 8027, 267, 2804, 27465, 267, 610, 513, 2147, 2601, 282, 616, 2713, 538, 2138, 1564, 267, 20730, 267, 911, 8814, 11614, 267, 610, 22742, 12406, 1813, 547, 519, 3668, 540, 4244, 7850, 22581, 282, 616, 2713, 538, 6595, 610, 27139, 24181, 282, 610, 616, 14460, 538, 10506, 3248, 268, 5620, 513, 3119, 30148, 15335, 602, 568, 513, 1857, 610, 4357, 1747, 711, 2966, 585, 610, 3921, 27274, 1031, 607, 513, 2834, 12008, 22098, 585, 1480, 7919, 454, 268, 14970, 538, 6517, 267, 11614, 267, 1857, 5624, 267, 14460, 5656, 267, 1016, 20598, 8027, 267, 1668, 610, 5721, 10473, 267, 610, 2147, 5468, 454, 268, 3657, 27436, 1453, 0, 347, 28347, 540, 8581, 2008, 347, 308, 25638, 541, 17505, 14255, 554, 32723, 790, 2335, 630, 296, 16194, 10245, 16085, 1399, 548, 1475, 5518, 630, 288, 772, 25638, 541, 5451, 514, 264, 610, 11406, 7312, 20056, 1890, 630, 288, 1744, 11798, 572, 994, 347, 1805, 9850, 1475, 23175, 540, 3557, 2008, 347, 4910, 2064, 1475, 383, 479, 6652, 606, 772, 25638, 541, 5451, 514, 2008, 347, 301, 7631, 1807, 1475, 300, 20047, 540, 519, 744, 790, 25638, 553, 610, 2199, 5646, 15078, 2008, 347, 7343, 334, 5793, 1475, 6034, 2442, 8917, 11406, 2421, 2382, 656, 24507, 4752, 13359, 454, 347, 28350, 3259, 1475, 5353, 1597, 1296, 2008, 347, 1103, 13774, 1116, 23649, 1475, 291, 537, 6921, 553, 5754, 1372, 2008, 347, 13528, 566, 1475, 1839, 4873, 476, 4350, 279, 2008, 763, 7022, 540, 8581, 630, 296, 16194, 2433, 772, 25638, 541, 17505, 14255, 554, 32723, 790, 2335, 264, 568, 519, 2212, 540, 1533, 540, 519, 6243, 540, 8581, 543, 519, 18678, 19524, 540, 519, 9721, 4347, 775, 17086, 563, 763, 7022, 6585, 5604, 585, 5722, 1296, 267, 543, 666, 581, 11221, 585, 513, 5021, 540, 1079, 2474, 7868, 7022, 568, 2047, 11221, 676, 519, 1004, 267, 4352, 972, 568, 1100, 3542, 952, 1152, 835, 11134, 568, 9930, 3990, 267, 799, 814, 7018, 593, 3670, 14026, 547, 4266, 269, 634, 24164, 568, 7361, 513, 30060, 5604, 267, 855, 519, 7022, 1281, 3635, 1978, 3908, 7060, 609, 6207, 24787, 269, 634, 7022, 6411, 607, 513, 11347, 540, 519, 9721, 1533, 543, 27369, 540, 519, 11156, 269, 634, 7022, 781, 4013, 15335, 568, 3331, 479, 6652, 606, 772, 25638, 541, 5451 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10369, 1107, 27148, 2201, 8605, 11588, 476, 1708, 276, 1923, 26890, 16288, 5113, 267, 17904, 5004, 5549, 269, 1934, 454, 21158, 268, 2839, 281, 476, 14096, 27886, 272, 3040, 14358, 281, 476, 14138, 273, 454, 5415, 1234, 548, 1162, 689, 570, 17307, 3194, 454, 17395, 312, 20525, 2562, 12778, 19845, 4696, 2207, 10790, 2793, 294, 30121, 27107, 298, 4953, 590, 4596, 14154, 267, 590, 9680, 16774, 9569, 267, 667, 14110, 5085, 8008, 16774, 6730, 744, 13048, 18306, 6693, 17471, 6206, 32722, 26064, 5004, 10369, 281, 10965, 2355, 14653, 6206, 6644, 3401, 630, 298, 5357, 338, 264, 616, 22973, 267, 9565, 267, 543, 4966, 540, 513, 1880, 2361, 538, 519, 3782, 2872, 269, 17716, 540, 513, 6109, 609, 891, 918, 5357, 338, 568, 540, 1390, 2956, 547, 4383, 543, 1628, 513, 2178, 3782, 9043, 269, 1452, 1883, 6644, 3401, 979, 513, 1279, 1259, 2509, 18997, 519, 3621, 543, 2564, 2950, 607, 1134, 607, 948, 538, 2810, 4656, 17640, 547, 519, 2487, 7835, 538, 454, 15551, 11286, 654, 2969, 2207, 16998, 2839, 27107, 298, 4953, 21832, 2207, 590, 9680, 300, 19006, 5508, 6673, 12195, 2975, 9569, 476, 1708, 276, 454, 17471, 12829, 4826, 25373, 10369, 1107, 10965, 2355, 14653, 634, 2518, 5100, 1216, 7470, 2344, 568, 2062, 16308, 547, 1995, 922, 1646, 605, 323, 4765, 593, 519, 1394, 540, 519, 32563, 540, 5883, 2025, 5989, 267, 4473, 538, 1344, 543, 2792, 2029, 630, 2975, 307, 1070, 7934, 1063, 3761, 543, 3747, 267, 1216, 17732, 267, 543, 1896, 824, 2188, 269, 1924, 607, 547, 10018, 5347, 3761, 540, 1216, 543, 1832, 513, 9184, 593, 922, 3160, 3761, 267, 5100, 1216, 7470, 2029, 568, 4397, 547, 454, 291, 5456, 3951, 3201, 772, 2316, 299, 14510, 27107, 298, 4953, 12327, 303, 3198, 31064, 11550, 297, 17614, 3633, 9215, 21781, 2562, 4888, 24505, 12087, 298, 667, 7838, 5058, 476, 1708, 276, 454, 17471, 7913, 7780, 1006, 10369, 281, 10965, 2355, 14653, 769, 519, 22984, 540, 1147, 3101, 3747, 585, 2656, 3059, 1436, 543, 3039, 1648, 538, 519, 1648, 10126, 267, 519, 1719, 585, 3059, 10626, 1062, 568, 8375, 16113, 269, 6755, 564, 1674, 540, 3059, 10124, 538, 519, 21755, 5823, 543, 3292, 538, 6082, 267, 585, 1383, 267, 3127, 543, 3624, 4397, 547, 30593, 2199, 2115, 616, 2062, 16308, 547, 3049, 519, 3747, 585, 3059, 10626, 3435, 269, 5192, 1401, 5477, 7300, 12726, 25767, 2986, 901, 7797, 281, 4179, 2517, 4178, 6745, 332, 337, 516, 14142, 2593, 4882, 2217, 4882, 2217, 286, 4148, 698, 284, 289, 261, 10517, 16182, 284, 26552, 279, 22547, 538, 454, 25446, 289, 28132, 7728, 10790, 2793, 294, 30121, 27107, 298, 4953, 966, 3201, 16604, 11550, 297, 17614, 3633, 9215, 12327, 303, 13263, 15760, 476, 1708, 276, 454, 17471, 5680, 12474, 5004, 10369, 281, 10965, 2355, 14653, 634, 2518, 1357, 1543, 2359, 2344, 568, 17191, 547, 2744, 791, 28127, 1813, 547, 519, 991, 585, 12180, 543, 14013, 1210, 1543, 2066, 1585, 6725, 9055, 971, 607, 1514, 2923, 543, 5985, 267, 543, 711, 1175, 519, 1357, 269, 5680, 1543, 2359, 2636, 3755, 547, 723, 513, 15774, 1357, 1995, 1247, 4543, 3906, 547, 25274, 2344, 741, 2472, 543, 2533, 269, 898, 2337, 1312, 2930, 543, 1875, 14482, 1013, 673, 3755, 547, 454, 5415, 1234, 548, 1162, 585, 17904, 454, 290, 7837, 12076, 17904, 645, 1231, 10369, 454, 10059, 2517, 4178, 269, 336, 663, 336, 21466, 516, 14142, 2593, 22812, 7964, 270, 278, 5655, 5400, 274, 279, 11305, 7837, 12076, 2914, 4292, 1532, 1231, 27360, 564, 268, 280, 595, 7837, 12076, 17904, 645, 1231, 616, 11149, 610, 3457, 585, 24773, 5109, 543, 12871, 540, 16906, 3653, 269, 23192, 3177, 607, 513, 21806, 547, 21596, 538, 1857, 4025, 267, 16906, 7789, 8163, 616, 1631, 28125, 607, 7296, 536, 753, 543, 11280, 7296, 2127, 2154, 1697, 12871, 2409, 269, 634, 2518, 595, 7837, 12076, 17904, 645, 1231, 2344, 568, 12595, 693, 1535, 343, 2929, 2475, 259, 538, 476, 1001, 279, 543, 786, 3914, 1535, 343, 2929, 2475, 259, 676, 519, 1439, 540, 476, 1708, 276, 267, 3395, 693, 513, 595, 8980, 305, 540, 1535, 343, 260, 1282, 454, 15812, 564, 1382, 19767, 693, 21629, 3589, 602, 519, 2518, 552, 2914, 4292, 2359, 2344, 786, 1332, 20406, 693, 513, 595, 8980, 305, 540, 1472, 476, 275, 260, 676, 476, 1708, 272, 269, 634, 1646, 540, 27054, 3429, 6191, 543, 519, 4473, 540, 4853, 6691, 619, 786, 581, 3119, 2188, 585, 519, 2208, 540, 713, 2344, 269, 2290, 540, 519, 2101, 4247, 538, 9657, 5907, 3457, 568, 519, 1950, 2497, 540, 3334, 1141, 3334, 1185, 547, 581, 24905, 1194, 543, 9674, 16924, 269, 13583, 20445, 723, 454, 21812, 781, 661, 2914, 4292, 27822, 2344, 1382, 1867, 2488, 519, 21777, 2872, 1239, 543, 2872, 2104, 3466, 267, 3850, 596, 547, 2697, 519, 2472, 543, 1439, 3755, 6117, 8907, 2208, 543, 20656, 269, 634, 2872, 1867, 8638, 519, 3056, 15712, 543, 2488, 519, 4030, 7580, 2872, 2079, 540, 519, 1883, 2188, 12018, 519, 2344, 7868, 1867, 2882, 519, 23004, 267, 2079, 543, 4901, 540, 1271, 2872, 3466, 267, 2344, 2450, 267, 2344, 2671, 9193, 543, 12632, 540, 519, 3056, 454, 292, 2914, 4292, 610, 5907, 3653, 568, 519, 23987, 5907, 610, 5122, 3457, 543, 3937, 269, 1323, 5907, 270, 19491, 3740, 3926, 10301, 547, 519, 22120, 3942, 1813, 547, 1439, 540, 922, 1272, 4783, 267, 1007, 10124, 538, 2029, 267, 610, 19962, 547, 519, 4657, 6788, 540, 519, 6800, 269, 634, 4389, 1272, 12732, 540, 5122, 267, 5907, 543, 7082, 5907, 3457, 630, 332, 9394, 11436, 267, 7641, 338, 267, 5904, 267, 535, 5090, 2471, 267, 11067, 6191, 267, 543, 1866, 264, 814, 2907, 3366, 547, 513, 1713, 2179, 540, 552, 2914, 4292, 454, 310, 4292, 4826, 9615, 7010, 454, 310, 4292, 1216, 2126, 1949, 4125, 519, 6127, 543, 3157, 1031, 950, 8156, 13572, 1216, 267, 610, 3653, 1216, 269, 898, 4016, 547, 1216, 602, 814, 1044, 13572, 538, 930, 1259, 676, 27643, 4853, 610, 5010, 2238, 267, 602, 568, 519, 3114, 610, 6211, 22837, 3812, 607, 513, 676, 1790, 6055, 540, 1480, 2238, 269, 17904, 1216, 2126, 1949, 1491, 741, 1198, 1991, 547, 519, 5305, 540, 3653, 1216, 1394, 883, 519, 1604, 610, 922, 556, 14025, 269, 1635, 7598, 454, 13048, 303, 538, 17904, 454, 15551, 328, 779, 476, 279, 628, 16316, 10985, 593, 1862, 623, 13048, 538, 17904, 634, 7025, 543, 9483, 12694, 589, 3650, 476, 278, 628, 1299, 476, 279, 628, 4728, 476, 1001, 272, 267, 18844, 928, 1773, 18054, 910, 634, 4975, 267, 5507, 15382, 328, 779, 476, 279, 628, 5993, 623, 13048, 538, 17904, 10985, 2488, 519, 2872, 609, 519, 3760, 547, 1865, 267, 20272, 543, 7521, 519, 4909, 2152, 538, 3653, 2359, 543, 960, 2509, 1942, 15807, 543, 4199, 18026, 3435, 269, 2060, 519, 3056, 2872, 23125, 689, 519, 1857, 543, 4357, 9922, 3246, 4274, 5813, 543, 2079, 267, 713, 0, 7212, 1053, 538, 1164, 1153, 543, 2038, 2852, 616, 896, 3656, 6704, 2085, 267, 513, 8101, 8167, 23297, 547, 4235, 4568, 607, 513, 1259, 547, 3986, 741, 4832, 1187, 269, 1133, 2041, 4385, 560, 547, 873, 267, 4568, 4616, 666, 3533, 1831, 5906, 267, 2523, 693, 2362, 5210, 269, 9453, 519, 1697, 2069, 267, 513, 18295, 1272, 1522, 13151, 3518, 547, 519, 2589, 540, 3002, 25874, 563, 1103, 1840, 547, 811, 6654, 2589, 540, 883, 343, 1709, 267, 899, 15176, 11558, 543, 1793, 13899, 4633, 267, 23931, 16098, 616, 1019, 675, 6776, 6878, 602, 16578, 30614, 269, 14627, 550, 30614, 666, 13204, 3433, 519, 1560, 543, 7519, 922, 2702, 547, 10038, 4835, 5210, 269, 4340, 547, 3220, 269, 19378, 8055, 267, 6595, 4915, 10629, 693, 670, 3317, 788, 514, 6019, 6481, 4741, 538, 3687, 928, 24550, 267, 968, 2704, 4022, 849, 8920, 919, 707, 1973, 8043, 267, 607, 1281, 3636, 4365, 267, 543, 4061, 2306, 596, 811, 11630, 547, 8429, 856, 3034, 5194, 2462, 3815, 538, 519, 1761, 8594, 540, 14420, 267, 9174, 610, 2182, 4508, 528, 568, 922, 5230, 7681, 609, 2168, 25874, 269, 589, 476, 1220, 274, 2136, 8003, 1353, 13327, 4370, 476, 14625, 7463, 16758, 2550, 602, 1558, 7355, 585, 5312, 9854, 6794, 4767, 602, 1079, 22188, 540, 519, 3732, 2550, 8519, 741, 4568, 4616, 1310, 5868, 269, 13018, 267, 2550, 6045, 741, 2623, 1689, 1813, 547, 9854, 1310, 6704, 267, 2799, 15353, 267, 15398, 13793, 13569, 543, 2789, 12008, 2042, 269, 4746, 538, 267, 968, 293, 520, 8982, 543, 6117, 281, 9920, 15717, 267, 9920, 9854, 543, 6117, 11191, 2223, 519, 476, 1960, 277, 4603, 7318, 1312, 1762, 543, 4587, 10256, 1310, 6704, 538, 513, 6417, 1604, 269, 22702, 547, 519, 1762, 543, 538, 23024, 27624, 267, 4587, 10256, 941, 811, 11630, 547, 4568, 5829, 9854, 563, 290, 944, 532, 1055, 1510, 4568, 454, 1103, 513, 476, 1001, 274, 1867, 267, 519, 15544, 585, 8376, 6513, 543, 10644, 630, 24922, 264, 4363, 891, 2994, 585, 2104, 2238, 538, 3905, 4365, 912, 306, 30371, 793, 2657, 28234, 11155, 5842, 17630, 568, 513, 9744, 602, 24870, 538, 8156, 10708, 543, 14038, 10010, 609, 2790, 1072, 2152, 267, 6219, 6057, 543, 12242, 5868, 269, 11910, 476, 279, 5780, 268, 276, 6507, 268, 3607, 274, 274, 547, 3717, 609, 513, 3318, 2221, 563, 24309, 676, 10557, 962, 919, 267, 590, 30371, 793, 2657, 6828, 5856, 0, 21790, 6888, 568, 4656, 540, 519, 1459, 4090, 543, 519, 1875, 9080, 8540, 531, 8343, 540, 4555, 543, 4606, 269, 898, 568, 513, 5578, 602, 666, 581, 2919, 998, 2259, 602, 814, 1044, 8810, 547, 723, 1312, 2168, 543, 2790, 1072, 2640, 269, 4340, 547, 519, 1977, 16723, 5948, 630, 4338, 288, 1070, 12322, 2221, 723, 2362, 3928, 540, 4160, 543, 4965, 982, 3105, 5481, 269, 24238, 814, 1044, 8810, 547, 25559, 891, 2790, 1072, 2152, 267, 11021, 602, 12322, 1522, 4324, 689, 2799, 4656, 593, 971, 2853, 543, 741, 6388, 538, 2126, 6703, 18487, 563, 6097, 547, 519, 17459, 6369, 9650, 995, 17607, 3194, 4741, 267, 8026, 11009, 814, 1044, 3254, 547, 2539, 1973, 2604, 267, 5818, 519, 4761, 1062, 543, 2333, 3007, 543, 1445, 269, 898, 814, 1256, 1044, 1336, 547, 2333, 2634, 2339, 538, 519, 2127, 602, 10038, 3375, 6194, 543, 3929, 8112, 269, 1280, 713, 2601, 267, 12665, 2303, 602, 3450, 12322, 827, 519, 2634, 543, 875, 11009, 5540, 621, 666, 948, 1711, 606, 1620, 543, 7287, 547, 2259, 269, 24238, 849, 2337, 609, 20949, 1852, 267, 513, 1523, 609, 799, 1082, 14038, 6560, 563, 21790, 6888, 666, 581, 13736, 711, 1152, 998, 9066, 543, 10649, 267, 855, 849, 998, 1148, 267, 7544, 267, 19482, 543, 811, 269, 10374, 11009, 5751, 666, 1256, 581, 13736, 1247, 513, 7141, 568, 9361, 693, 513, 11380, 267, 4730, 609, 513, 1920, 4620, 610, 4189, 513, 26889, 269, 3220, 269, 667, 345, 2426, 27215, 779, 968, 763, 9650, 995, 24635, 892, 7710, 875, 12322, 666, 4324, 689, 543, 2936, 11009, 538, 741, 3232, 2729, 269, 2290, 7141, 12286, 538, 519, 1433, 6941, 267, 968, 296, 993, 513, 1360, 14221, 1268, 267, 543, 594, 6557, 1419, 20468, 827, 519, 2104, 610, 519, 2250, 269, 24238, 814, 4847, 803, 547, 2661, 811, 538, 519, 1631, 269, 594, 1745, 513, 2631, 540, 1582, 18221, 602, 594, 4769, 1406, 723, 1354, 267, 543, 621, 814, 1044, 11212, 3730, 585, 5883, 1250, 4160, 3034, 303, 847, 6005, 11009, 814, 1044, 8810, 547, 723, 1713, 2360, 593, 519, 2634, 269, 1280, 14038, 267, 713, 666, 1611, 15398, 1445, 538, 1153, 269, 589, 2487, 1353, 5342, 676, 3173, 693, 2160, 540, 4993, 267, 13244, 22526, 630, 308, 5425, 289, 264, 1336, 602, 11009, 2866, 2337, 2087, 519, 1449, 8464, 540, 2852, 1053, 609, 2543, 547, 11913, 7744, 269, 634, 1353, 6941, 267, 968, 5978, 2164, 2303, 602, 14237, 11009, 568, 606, 2500, 543, 3608, 4480, 585, 5355, 5042, 1599, 267, 609, 2647, 23568, 4539, 1848, 7812, 631, 23432, 2131, 267, 513, 5626, 10196, 693, 772, 5425, 289, 267, 11840, 919, 267, 968, 2507, 933, 1336, 4389, 2247, 2914, 663, 1359, 538, 1169, 1259, 649, 6027, 621, 543, 4824, 2773, 593, 1312, 2542, 8223, 543, 2324, 3965, 4390, 1848, 769, 1840, 547, 519, 4160, 5786, 602, 2501, 609, 8026, 11009, 267, 2799, 4081, 2773, 666, 849, 948, 2569, 2566, 543, 3565, 547, 513, 8902, 1533, 540, 2247, 563, 5194, 2487, 1353, 676, 17459, 6369, 1336, 602, 11009, 666, 948, 2569, 3207, 2042, 269, 634, 5396, 538, 519, 1353, 782, 1185, 9793, 3207, 2042, 269, 21009, 3576, 513, 3670, 22173, 1576, 593, 3207, 2069, 543 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 301, 1735, 269, 476, 272, 269, 1480, 5198, 910, 782, 540, 519, 2713, 1480, 11317, 540, 519, 3618, 282, 782, 519, 1158, 14560, 513, 24158, 282, 1352, 2141, 1031, 2387, 21065, 1678, 785, 262, 1317, 2387, 332, 1678, 785, 262, 8604, 547, 13581, 519, 2021, 269, 1480, 7919, 267, 30768, 267, 3425, 267, 18495, 267, 8103, 267, 1158, 267, 812, 269, 1895, 267, 23454, 910, 1022, 1297, 540, 9988, 630, 332, 20047, 264, 2808, 607, 513, 1770, 10902, 269, 519, 1480, 5198, 269, 5274, 7919, 538, 2489, 282, 30768, 269, 1412, 339, 4181, 616, 4105, 547, 519, 6668, 540, 519, 1480, 5198, 8339, 2859, 1383, 5220, 269, 1412, 3682, 5913, 12781, 1572, 873, 14763, 540, 519, 1480, 5198, 1547, 8339, 1412, 16248, 1296, 3516, 513, 1895, 540, 3744, 1500, 513, 18198, 14634, 676, 13629, 513, 4719, 4786, 6029, 519, 5027, 15059, 540, 519, 1480, 5198, 9538, 519, 1480, 5198, 269, 2433, 782, 1004, 2433, 1480, 7919, 607, 513, 1895, 269, 519, 1686, 540, 519, 1480, 5198, 269, 16160, 9604, 602, 1223, 26763, 856, 519, 630, 3369, 1961, 264, 1480, 5198, 1547, 634, 2165, 729, 1101, 1031, 547, 3277, 547, 10529, 540, 513, 1455, 1893, 543, 1287, 547, 20301, 3084, 28930, 725, 269, 1635, 519, 476, 1704, 628, 2540, 519, 2165, 3459, 547, 3277, 547, 2168, 630, 335, 1156, 12111, 673, 264, 7592, 454, 305, 864, 4214, 568, 910, 1022, 835, 540, 519, 2516, 602, 3425, 616, 1419, 5258, 883, 1759, 593, 2168, 7592, 9833, 607, 1455, 1851, 1004, 540, 3838, 22693, 282, 849, 2433, 519, 1249, 540, 12270, 1004, 267, 610, 540, 1004, 1373, 5258, 267, 883, 971, 2516, 2433, 11008, 1436, 676, 5198, 269, 1215, 547, 946, 5198, 538, 513, 4845, 269, 26402, 540, 5198, 519, 1480, 5198, 5884, 631, 839, 577, 15241, 267, 546, 553, 631, 839, 3832, 978, 525, 577, 548, 19816, 2520, 327, 269, 3331, 506, 1499, 28856, 2426, 19811, 654, 23152, 614, 321, 1276, 1621, 5894, 577, 910, 1546, 28852, 269, 589, 1276, 606, 2763, 3394, 281, 1480, 267, 1480, 1373, 267, 1480, 1719, 267, 1480, 2470, 454, 8698, 1977, 2296, 4214, 540, 1480, 5198, 269, 7827, 707, 9949, 8675, 547, 1977, 2296, 269, 7348, 519, 12332, 585, 1480, 5198, 269, 634, 28445, 7066, 526, 532, 9293, 269, 707, 6999, 568, 1250, 4971, 269, 476, 4817, 269, 278, 10065, 2322, 1055, 268, 1321, 269, 276, 10065, 594, 7948, 1405, 3858, 811, 269, 476, 274, 269, 279, 10065, 585, 269, 476, 271, 269, 278, 10065, 1491, 593, 268, 1704, 269, 276, 10065, 13028, 1547, 14271, 11618, 540, 519, 3923, 269, 10516, 269, 1459, 269, 9983, 269, 18351, 269, 10189, 269, 2434, 525, 572, 269, 1521, 269, 25873, 811, 1547, 4635, 519, 8675, 269, 966, 773, 548, 3331, 376, 1499, 28856, 974, 2142, 7371, 1408, 338, 24477, 2763, 5378, 1480, 5198, 910, 1546, 28852, 27761, 5894, 577, 654, 23152, 614, 321, 1276, 3768, 6270, 5733, 577, 710, 24166, 28985, 523, 13153, 1546, 28852, 268, 383, 506, 1499, 28856, 684, 2102, 476, 391, 490, 16058, 476, 16659, 15869, 10902, 9890, 519, 1480, 5198, 6201, 689, 519, 4856, 16476, 1480, 5198, 3040, 1411, 723, 4440, 1031, 5220, 2221, 799, 723, 2760, 1354, 1044, 1031, 676, 519, 1480, 5198, 269, 3040, 4804, 875, 547, 6023, 621, 267, 519, 1480, 5198, 9428, 538, 588, 1155, 2509, 596, 269, 3040, 2060, 707, 948, 267, 646, 666, 7930, 6443, 519, 1480, 5198, 3509, 12261, 1383, 5220, 5627, 1480, 5198, 910, 4436, 30165, 8675, 543, 3406, 2599, 585, 4436, 16627, 17813, 910, 17813, 910, 634, 1686, 540, 519, 2856, 540, 5198, 281, 17813, 607, 513, 11008, 1944, 2165, 13288, 547, 1480, 7919, 729, 1101, 1031, 538, 519, 2296, 1893, 538, 519, 3735, 476, 1626, 628, 2540, 269, 19402, 519, 476, 1240, 628, 2540, 621, 1185, 513, 20902, 2495, 2147, 547, 824, 1362, 4328, 2474, 971, 607, 1826, 267, 4990, 267, 610, 2186, 269, 12769, 553, 1308, 3332, 540, 9956, 781, 942, 5219, 547, 513, 5198, 540, 25598, 610, 513, 5198, 540, 31967, 454, 763, 1480, 5198, 538, 519, 476, 2641, 560, 2540, 568, 8977, 539, 543, 9678, 689, 891, 2067, 2959, 540, 5583, 543, 4987, 267, 538, 4010, 519, 1482, 1259, 607, 476, 736, 1296, 3516, 2123, 5904, 1599, 539, 607, 1367, 4559, 10647, 2238, 593, 513, 1796, 17038, 821, 543, 9678, 4493, 1480, 5198, 8144, 538, 2296, 8566, 9127, 8675, 269, 8058, 532, 2985, 476, 272, 269, 5853, 476, 6344, 274, 5220, 12805, 8360, 1480, 5198, 12171, 895, 538, 476, 4792, 20444, 9502, 540, 1480, 5198, 538, 519, 23866, 12626, 3820, 9218, 269, 12791, 540, 1480, 5198, 269, 1548, 1281, 1480, 5198, 1611, 286, 7743, 6165, 543, 8301, 12332, 630, 15200, 594, 5183, 13093, 2045, 16606, 264, 540, 519, 2262, 1480, 5198, 269, 6176, 827, 1480, 5198, 538, 519, 23866, 12626, 3820, 8675, 267, 19655, 543, 1884, 11618, 6258, 519, 8144, 585, 1412, 16058, 315, 343, 736, 15869, 262, 538, 19845, 302, 781, 2296, 2340, 485, 498, 4436, 8675, 269, 2060, 10902, 270, 14620, 7515, 585, 519, 1114, 2665, 543, 512, 5151, 6402, 547, 8301, 12332, 543, 4143, 8468, 5717, 1863, 6863, 27466, 1480, 5198, 910, 654, 23152, 614, 321, 1276, 1621, 5894, 577, 268, 5719, 28852, 269, 476, 3445, 269, 1822, 853, 747, 342, 23152, 614, 3768, 654, 754, 684, 2102, 30889, 773, 476, 6344, 269, 1822, 3331, 506, 1499, 28856, 684, 2102, 454, 24552, 547, 798, 609, 3168, 1310, 3054, 267, 971, 607, 1582, 13282, 267, 670, 2862, 307, 543, 11337, 1479, 10428, 269, 6481, 2474, 267, 971, 607, 5483, 9844, 267, 4791, 4693, 543, 3134, 710, 31058, 269, 2859, 6855, 5829, 6863, 267, 971, 607, 5547, 30517, 267, 1279, 13044, 543, 1489, 19389, 269, 6423, 2407, 1592, 1284, 1336, 835, 8675, 609, 2296, 8847, 602, 2882, 519, 2262, 14486, 540, 519, 1480, 5198, 281, 8437, 593, 519, 1101, 3095, 593, 513, 1899, 2630, 547, 979, 2047, 547, 513, 2985, 1141, 14486, 540, 519, 1480, 5198, 568, 3989, 269, 4937, 630, 272, 12805, 8675, 264, 6987, 8012, 540, 519, 1480, 5198, 281, 9504, 267, 519, 5131, 15610, 1496, 24610, 267, 9623, 316, 9293, 2147, 547, 14486, 540, 519, 1480, 5198, 26402, 1806, 585, 269, 986, 1356, 910, 6478, 27270, 2296, 8675, 267, 2055, 267, 4901, 543, 15473, 269, 2353, 5131, 630, 10818, 532, 607, 13737, 264, 519, 1353, 540, 2409, 540, 5355, 519, 2298, 540, 519, 1480, 5198, 267, 17611, 676, 16496, 9742, 514, 7130, 4214, 281, 476, 272, 269, 8156, 513, 1268, 610, 1880, 1895, 540, 1004, 8335, 267, 2523, 538, 513, 8338, 1259, 689, 519, 269, 6258, 811, 454, 272, 269, 9093, 543, 2021, 540, 2407, 2085, 267, 1510, 1022, 20159, 1813, 547, 5198, 267, 22874, 610, 4984, 267, 723, 519, 1318, 547, 19533, 543, 547, 1336, 513, 1920, 269, 1358, 616, 13886, 547, 3160, 2924, 607, 547, 7365, 267, 1282, 7365, 543, 693, 922, 27072, 269, 476, 273, 269, 25141, 4927, 581, 9411, 883, 1152, 609, 519, 1863, 543, 2407, 9844, 540, 519, 703, 2056, 838, 11817, 269, 476, 274, 269, 634, 1920, 568, 519, 2067, 543, 4909, 1895, 1770, 540, 2486, 543, 1775, 9598, 269, 764, 281, 654, 23152, 614, 321, 1276, 24166, 1621, 5894, 577, 268, 5719, 28852, 3768, 543, 699, 1975, 2350, 1156, 9598, 269, 764, 544, 7238, 577, 974, 1965, 694, 514, 523, 5484, 583, 345, 1716, 476, 1069, 7238, 326, 997, 1156, 267, 1775, 15590, 654, 1170, 523, 5378, 543, 7967, 1990, 340, 751, 559, 523, 269, 654, 3317, 552, 710, 1655, 9404, 974, 1621, 5894, 577, 268, 5719, 28852, 268, 383, 506, 1499, 28856, 2426, 1100, 577, 562, 32218, 708, 654, 23152, 614, 321, 1276, 6678, 531, 1084, 568, 339, 267, 737, 2335, 20146, 13153, 795, 539, 655, 5484, 583, 10045, 552, 532, 25523, 2102, 530, 518, 6577, 901, 2985, 2488, 782, 2009, 16627, 540, 519, 2262, 1480, 5198, 538, 519, 25227, 1893, 269, 1775, 327, 332, 7416, 2863, 320, 25227, 9181, 713, 1480, 5198, 2296, 8144, 609, 519, 2146, 1215, 547, 2161, 1480, 5198, 538, 4436, 286, 1548, 781, 519, 4436, 8144, 540, 1480, 5198, 286, 6423, 3102, 8144, 3681, 593, 26479, 14492, 901, 2985, 2488, 782, 2009, 16627, 540, 519, 2262, 1480, 5198, 538, 519, 20474, 1893, 269, 11774, 362, 362, 18298, 358, 18298, 379, 18298, 353, 11774, 362, 485, 18298, 358, 18298, 362, 28159, 491, 20474, 9181, 713, 1480, 5198, 2296, 8144, 609, 519, 2146, 454, 7197, 1271, 689, 519, 29459, 540, 519, 6211, 2495, 540, 891, 7292, 6688, 267, 2705, 267, 1034, 1480, 4719, 8390, 1281, 711, 1397, 971, 5198, 24159, 269, 1280, 519, 5318, 5354, 540, 1480, 4719, 7648, 267, 8106, 7292, 6688, 607, 3989, 676, 513, 4999, 540, 11585, 267, 2960, 2681, 267, 9224, 543, 4552, 3337, 267, 606, 17573, 1973, 1826, 610, 5697, 31442, 520, 749, 2572, 1118, 1100, 3730, 269, 9502, 540, 27643, 267, 11341, 547, 519, 6090, 529, 540, 519, 1480, 5198, 543, 922, 1646, 538, 2296, 7969, 8675, 1884, 1886, 8328, 6478, 538, 9502, 269, 25927, 725, 1948, 589, 645, 595, 667, 661, 674, 717, 670, 594, 808, 918, 700, 631, 715, 744, 623, 1627, 681, 590, 570, 772, 966, 654, 2473, 962, 2098, 21832, 681, 13263, 6865, 589, 645, 595, 667, 661, 674, 717, 670, 594, 808, 918, 700, 631, 715, 744, 623, 1627, 681, 590, 570, 772, 966, 654, 2473, 962, 2098, 21832, 681, 13263, 302, 986, 1356, 3697, 538, 2296, 8144, 543, 4214, 986, 1356, 3697, 267, 9218, 2296, 30165, 2228, 1547, 986, 1356, 3697, 26479, 269, 679, 9884, 1731, 5406, 776, 3820, 269, 1763, 10603, 1782, 513, 986, 1356, 630, 6943, 540, 3345, 1977, 13131, 1040, 679, 9884, 1731, 5406, 776, 269, 1001, 277, 1496, 611, 11187, 316, 1763, 10603, 1782, 513, 986, 1356, 630, 6943, 540, 3345, 1977, 13131, 1040, 8058, 3616, 3290, 540, 986, 1356, 3697, 630, 2073, 16532, 3738, 7151, 5220, 609, 986, 1356, 3697, 267, 8144, 3965, 269, 8058, 532, 2985, 476, 272, 269, 5853, 476, 271, 269, 476, 277, 2433, 519, 10182, 610, 18879, 799, 1079, 610, 811, 7606, 610, 2516, 8263, 4724, 835, 1776, 5198, 1894, 269, 476, 278, 513, 2433, 519, 1533, 540, 1373, 20102, 610, 25262, 958, 5461, 630, 553, 538, 1514, 610, 5010, 6927, 264, 536, 1894, 12683, 269, 630, 272, 264, 2433, 4308, 902, 267, 26697, 4914, 1894, 269, 630, 273, 264, 2433, 4638, 26697, 269, 5901, 29957, 585, 811, 454, 9558, 16058, 1143, 267, 1514, 543, 10952, 3350, 13991, 547, 5009, 519, 1646, 540, 7347, 1480, 10276, 327, 766, 618, 4066, 602, 1131, 32433, 610, 2333, 1480, 10444, 21200, 267, 2375, 633, 2702, 267, 610, 5042, 4390, 607, 1134, 607, 32753, 2087, 1480, 1072, 543, 8831, 1480, 1272, 21269, 634, 7292, 6688, 3769, 538, 519, 14829, 18102, 3622, 2992, 513, 1514, 4214, 540, 5198, 6444, 538, 713, 2197, 543, 711, 606, 3801, 547, 5581, 5198, 31127, 267, 10236, 10999, 267, 610, 16220, 269, 769, 1840, 267, 621, 568, 6444, 602, 519, 6688, 540, 519, 5198, 6221, 1331, 7292, 543, 3084, 5169, 610, 1914, 32241, 2516, 269, 4658, 949, 3442, 547, 1867, 811, 982, 835, 5198, 547, 563, 300, 1468, 1143, 4214, 267, 840, 21232, 566, 609, 610, 8561, 593, 1570, 3615, 267, 635, 325, 2176, 267, 543, 9270, 267, 609, 513, 771, 15517, 538, 610, 18349, 540, 5289, 267, 7214, 267, 610, 2686, 2418, 269, 6423, 811, 1284, 1336, 835, 8675, 609, 2296, 8847, 602, 2882, 519, 2262, 24242, 1996, 519, 1480, 5198, 281, 8437, 593, 519, 1101, 3095, 593, 513, 1899, 2630, 547, 979, 2047, 547, 513, 2985, 1141, 24242, 1996, 519, 1480, 5198, 568, 3989, 269, 4937, 630, 272, 12805, 8675, 264, 634, 3117, 335, 16820, 18830, 519, 5274, 17813, 281, 9504, 267, 519, 5131, 15610, 1496, 24610, 267, 9623, 316, 9293, 2147, 547, 24242, 1996, 519, 1480, 5198, 563, 984, 560, 12386, 268, 15869, 9502, 267, 12791, 540, 21677, 268, 15869, 593, 14082, 667, 2109, 541, 17813, 7012, 1405, 11827, 1317, 621, 568, 513, 1305, 540, 4978, 543, 8456, 827, 1480, 8390, 269, 898, 814, 4986, 547, 798, 609, 519, 6211, 8390, 3294, 269, 1411, 666, 723, 1082, 7239, 609, 1390, 4763, 269, 2073, 8847, 267, 543, 1644, 1913, 13068, 543, 2241, 8847, 538, 2596, 1977, 2296, 689, 3345, 3013, 781, 3056, 1893, 4966, 269, 2859, 6165, 1806, 982, 1022, 824, 8675, 454, 291, 600, 2740, 1480, 5198, 2495, 538, 2712, 706, 1627, 476, 272, 284, 10048, 568, 2356, 1572, 519, 11612, 4554, 3662, 593, 519, 4493, 540, 741, 4987, 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 ]
[ 4860, 269, 667, 384, 483, 321, 4900, 7288, 267, 513, 623, 718, 2714, 710, 267, 945, 4313, 539, 1200, 7494, 538, 2352, 8090, 1040, 3143, 835, 13986, 547, 6460, 1200, 269, 5240, 540, 1200, 3251, 693, 744, 385, 376, 541, 6759, 342, 729, 4922, 1634, 547, 519, 27142, 855, 1100, 835, 20729, 539, 1200, 267, 711, 1256, 950, 513, 4436, 4108, 1770, 729, 693, 835, 1448, 14415, 1229, 538, 519, 5572, 269, 3220, 269, 590, 9195, 320, 385, 482, 338, 6390, 779, 4557, 4458, 6040, 562, 19991, 267, 3967, 2088, 12462, 297, 14901, 14615, 23951, 630, 577, 6548, 547, 20855, 1171, 338, 6390, 1070, 945, 1185, 513, 1360, 12054, 12792, 5920, 267, 729, 1352, 2741, 1229, 676, 519, 590, 8651, 540, 519, 8056, 659, 3634, 7910, 6307, 593, 20673, 574, 1512, 345, 3298, 6390, 9335, 538, 32160, 267, 543, 538, 27756, 3506, 538, 654, 337, 345, 657, 6759, 342, 543, 590, 5414, 2006, 6759, 342, 267, 3544, 32160, 267, 1141, 811, 982, 513, 18797, 6014, 6690, 941, 6456, 269, 2353, 540, 519, 19946, 693, 519, 27756, 1153, 538, 590, 5414, 2006, 6759, 342, 941, 3222, 602, 741, 1762, 10997, 941, 7642, 267, 607, 941, 519, 21534, 948, 267, 519, 3237, 540, 519, 824, 1053, 543, 1082, 27142, 269, 7183, 540, 519, 4168, 3237, 6569, 741, 1453, 689, 519, 1153, 5103, 519, 1761, 12178, 267, 543, 538, 1249, 1082, 540, 873, 8329, 547, 519, 909, 18141, 540, 519, 6014, 1453, 269, 3220, 269, 590, 9195, 320, 385, 482, 338, 6390, 5206, 281, 968, 763, 1453, 941, 896, 519, 4027, 540, 519, 3003, 5572, 543, 8498, 269, 3502, 835, 911, 3218, 729, 547, 581, 1336, 1851, 873, 1848, 10801, 713, 942, 3220, 563, 306, 9195, 320, 385, 482, 338, 6390, 7283, 896, 519, 4585, 995, 3750, 540, 12756, 853, 1030, 16492, 717, 6759, 3464, 6390, 630, 306, 3563, 1656, 337, 2763, 10937, 1070, 945, 6854, 538, 5905, 609, 3967, 2088, 23951, 779, 3237, 538, 519, 32160, 575, 2867, 1729, 2394, 789, 941, 1244, 9285, 269, 3220, 269, 590, 9195, 320, 385, 482, 338, 6390, 779, 1650, 568, 849, 1644, 538, 476, 7918, 12540, 615, 7534, 4728, 7748, 267, 3117, 7185, 543, 2552, 7337, 344, 281, 4347, 2056, 15352, 623, 3780, 2473, 2862, 630, 6124, 3840, 543, 10067, 342, 1695, 267, 1715, 14948, 281, 6754, 626, 4964, 267, 476, 1220, 273, 1070, 693, 3817, 476, 6200, 1700, 10441, 563, 4415, 519, 4436, 13567, 540, 12996, 538, 476, 4350, 280, 267, 519, 1004, 540, 32160, 5185, 513, 27945, 3510, 269, 3220, 269, 590, 9195, 753, 6390, 2968, 3238, 538, 519, 960, 540, 4543, 5215, 540, 6014, 1453, 269, 2755, 1869, 2324, 585, 2578, 657, 1496, 1492, 5742, 540, 28054, 5081, 7724, 585, 6014, 2107, 874, 753, 316, 1282, 519, 1101, 5162, 540, 519, 2112, 267, 1352, 6956, 519, 2104, 12556, 540, 32160, 7642, 543, 519, 3668, 540, 948, 689, 519, 6014, 3906, 3544, 12996, 267, 2523, 1977, 7642, 269, 2701, 6785, 602, 713, 729, 519, 4098, 540, 519, 1439, 269, 2060, 1200, 1079, 19946, 267, 7015, 2987, 25237, 543, 8370, 4458, 6040, 562, 19991, 267, 808, 14901, 267, 1352, 5030, 538, 519, 32160, 717, 2867, 1729, 689, 5239, 476, 3707, 271, 269, 634, 2578, 657, 8490, 729, 10514, 539, 593, 519, 1101, 1554, 540, 519, 2782, 269, 769, 476, 3707, 273, 267, 519, 16586, 6806, 519, 2578, 657, 543, 1200, 11863, 729, 2165, 3990, 269, 634, 1982, 729, 5277, 730, 269, 2353, 1079, 4627, 7264, 941, 608, 32558, 730, 563, 2691, 519, 4641, 540, 519, 5277, 566, 540, 519, 32160, 717, 2867, 1729, 2968, 31873, 267, 590, 3563, 717, 1961, 3387, 328, 3298, 6390, 1496, 7883, 22119, 384, 503, 6798, 3298, 6390, 3910, 945, 729, 2324, 609, 519, 14470, 11895, 3060, 267, 7479, 12184, 3220, 269, 590, 9195, 753, 6390, 547, 4734, 519, 575, 2867, 1729, 609, 808, 14901, 269, 1358, 941, 6410, 676, 519, 3060, 547, 519, 4659, 585, 27258, 693, 476, 9032, 17240, 9155, 6390, 1496, 303, 340, 22119, 9155, 6390, 316, 9335, 269, 6271, 7826, 3659, 267, 8341, 928, 1496, 296, 1066, 320, 316, 3752, 338, 6390, 267, 3576, 3220, 269, 590, 9195, 753, 6390, 547, 590, 3563, 654, 7701, 25661, 5414, 985, 6390, 1496, 294, 2117, 5414, 385, 482, 338, 6390, 316, 540, 519, 8056, 659, 3634, 1230, 4003, 590, 8651, 593, 20673, 574, 1512, 345, 3298, 6390, 9335, 269, 901, 5572, 729, 513, 3095, 538, 519, 11895, 3060, 547, 968, 15276, 1346, 945, 941, 15720, 543, 2713, 538, 8594, 543, 3765, 2044, 1848, 10738, 11157, 8696, 2395, 1352, 729, 882, 11343, 609, 519, 772, 3464, 592, 710, 590, 8651, 269, 808, 14901, 267, 1303, 27434, 547, 513, 1920, 3659, 543, 26393, 267, 12038, 827, 519, 10514, 902, 540, 519, 32160, 717, 2867, 1729, 267, 18417, 31889, 1200, 6014, 4282, 563, 3412, 9712, 2299, 1352, 729, 11843, 547, 20673, 574, 1512, 345, 3298, 6390, 9335, 543, 25009, 547, 1935, 519, 10766, 4805, 269, 2701, 5679, 18088, 543, 1767, 281, 968, 296, 6557, 808, 14901, 543, 594, 1810, 1406, 723, 4896, 1848, 590, 3563, 654, 7701, 15527, 267, 968, 5591, 267, 1250, 1126, 267, 596, 616, 711, 4805, 267, 596, 723, 803, 1848, 4438, 891, 1296, 540, 15720, 267, 808, 14901, 729, 6410, 1082, 2053, 1851, 519, 14252, 540, 654, 337, 345, 657, 578, 334, 1496, 310, 337, 345, 657, 6759, 342, 316, 543, 590, 5414, 2006, 578, 334, 1496, 306, 5414, 2006, 6759, 342, 316, 543, 20673, 574, 1512, 345, 3298, 6390, 9335, 269, 634, 30123, 777, 334, 16143, 602, 519, 562, 12584, 267, 896, 519, 840, 3667, 540, 6536, 1416, 585, 14470, 610, 874, 753, 267, 941, 9494, 519, 2729, 540, 1082, 6014, 1453, 269, 769, 19220, 540, 3586, 8594, 519, 6690, 13984, 5049, 5781, 538, 513, 32668, 5790, 269, 11569, 267, 519, 24123, 1909, 540, 519, 8056, 659, 3634, 1230, 4003, 590, 8651, 538, 9494, 6014, 2729, 2115, 547, 581, 5143, 563, 1103, 1200, 1433, 267, 3220, 269, 590, 9195, 753, 6390, 11339, 281, 968, 763, 1383, 540, 519, 590, 8651, 4847, 803, 543, 1866, 711, 547, 6336, 5132, 538, 1480, 7919, 1282, 1346, 1296, 540, 32012, 885, 543, 28877, 1848, 2311, 519, 1439, 540, 4864, 476, 3707, 273, 267, 609, 519, 13170, 540, 519, 12624, 4937, 623, 807, 15776, 333, 1171, 338, 6390, 1496, 8867, 23410, 333, 1171, 338, 6390, 3910, 1352, 729, 6410, 547, 519, 772, 3464, 592, 710, 22630, 715, 12584, 685, 5572, 538, 519, 8498, 540, 23520, 541, 578, 1496, 302, 385, 376, 541, 6759, 342, 4940, 1703, 1352, 7283, 585, 1079, 1296, 543, 5216, 3275, 538, 513, 1507, 4055, 543, 729, 10272, 676, 590, 3563, 772, 3464, 345, 3121, 717, 832, 6390, 1496, 300, 7559, 853, 1030, 16492, 717, 6759, 3464, 6390, 267, 590, 3563, 1656, 337, 2763, 10937, 3910, 513, 2875, 540, 8106, 15599, 1108, 693, 32160, 2160, 1496, 29592, 621, 729, 6806, 676, 519, 16586, 693, 519, 4098, 540, 519, 2112, 4940, 3245, 1200, 1507, 5572, 1591, 267, 1352, 6743, 5702, 693, 519, 2729, 540, 519, 562, 12584, 855, 1223, 711, 1174, 741, 24150, 547, 7080, 754, 741, 6654, 11791, 960, 6296, 543, 741, 22026, 547, 7281, 543, 14719, 622, 269, 8307, 2663, 729, 1352, 2111, 547, 1174, 519, 1379, 540, 14719, 894, 20174, 547, 2696, 9789, 6852, 2707, 540, 741, 4222, 30147, 5795, 513, 2631, 540, 2495, 543, 3483, 547, 741, 2729, 563, 9515, 4749, 4280, 9887, 281, 4208, 1705, 2696, 1450, 713, 547, 4755, 286, 4208, 7012, 1406, 13609, 608, 10919, 5344, 286, 1496, 295, 527, 2401, 1185, 694, 30099, 1010, 13218, 609, 519, 7826, 5783, 1279, 1354, 646, 3357, 547, 1379, 543, 2808, 519, 5783, 547, 581, 835, 540, 1010, 8783, 14763, 23102, 10955, 20426, 4208, 4769, 1406, 519, 1977, 7642, 10891, 6351, 543, 26544, 609, 519, 1977, 6554, 547, 948, 519, 3864, 7642, 829, 5109, 538, 519, 5834, 13122, 286, 634, 16586, 3459, 519, 5277, 566, 540, 519, 575, 2867, 1729, 538, 476, 3707, 273, 269, 1358, 16487, 2898, 29152, 1137, 540, 1453, 547, 519, 5834, 13122, 269, 2991, 519, 32160, 717, 2867, 1729, 32574, 267, 1152, 1200, 7820, 11078, 4432, 21289, 729, 1869, 9800, 543, 16290, 538, 519, 717, 2867, 1729, 269, 853, 7578, 543, 1200, 7015, 2987, 25237, 1185, 1044, 16487, 547, 519, 5834, 3786, 269, 1879, 1352, 4121, 519, 12556, 540, 1200, 1920, 267, 1352, 3838, 1200, 4555, 540, 4965, 543, 11980, 609, 590, 3563, 717, 832, 6390, 269, 29594, 532, 547, 1200, 2115, 267, 835, 540, 519, 19946, 6410, 547, 1200, 1591, 547, 948, 1200, 269, 3509, 941, 519, 7391, 789, 1185, 827, 519, 991, 585, 1004, 547, 8263, 5539, 543, 948, 4688, 2729, 269, 769, 713, 6433, 267, 519, 19946, 941, 9565, 543, 9415, 1200, 267, 855, 2760, 1705, 789, 2119, 547, 22321, 1200, 547, 6460, 547, 519, 7826, 5132, 563, 5475, 519, 6739, 18086, 538, 519, 11354, 540, 476, 3707, 276, 267, 3220, 269, 590, 9195, 753, 6390, 6170, 519, 2063, 14914, 609, 519, 772, 3464, 592, 710, 590, 8651, 269, 3245, 6054, 543, 6898, 540, 2363, 1168, 5893, 525, 267, 1352, 1336, 856, 602, 519, 3003, 8498, 540, 23520, 541, 578, 6785, 602, 1352, 543, 1866, 941, 15720, 538, 519, 5572, 269, 634, 19946, 941, 3222, 540, 519, 4539, 540, 15720, 7642, 282, 2943, 267, 1510, 11688, 2787, 267, 789, 4797, 519, 5906, 4305, 543, 10710, 1082, 2729, 269, 2701, 2829, 281, 968, 5591, 824, 2197, 855, 12996, 6976, 971, 513, 16854, 26481, 24744, 547, 519, 2014, 540, 9494, 6014, 2729, 269, 898, 568, 606, 3768, 529, 1584, 539, 1249, 602, 621, 568, 1454, 4443, 547, 6542, 543, 15292, 585, 519, 2014, 540, 7642, 267, 607, 5949, 538, 930, 5375, 2477, 267, 982, 547, 12404, 835, 540, 873, 585, 1296, 1282, 519, 4436, 13567, 540, 12996, 1848, 2991, 519, 2112, 267, 1352, 8120, 547, 4625, 10969, 730, 32160, 543, 5249, 585, 519, 12080, 540, 4065, 267, 4972, 540, 4132, 28054, 269, 2701, 1202, 4624, 519, 1416, 2016, 538, 29152, 1137, 269, 2701, 4121, 602, 896, 519, 4287, 540, 12624, 1496, 9802, 671, 320, 316, 5192, 614, 267, 945, 10710, 519, 2729, 540, 1896, 4627, 6014, 5753, 267, 519, 590, 8651, 540, 519, 7731, 540, 6307, 729, 835, 540, 519, 1034, 3742, 7249, 2958, 725, 7863, 7642, 1282, 543, 1310, 519, 2112, 563, 306, 3563, 1656, 337, 2763, 10937, 630, 300, 7559, 853, 1030, 16492, 717, 6759, 3464, 6390, 1070, 945, 729, 6444, 607, 513, 9406, 15667, 22918, 850, 267, 5206, 538, 1200, 3948, 547, 962, 611, 23849, 1335, 630, 17572, 476, 278, 5780, 279, 264, 602, 1082, 6014, 1453, 941, 1352, 2741, 1229, 538, 519, 1453, 779, 1753, 13234, 676, 519, 476, 4649, 772, 3464, 592, 710, 590, 8651, 540, 519, 3397, 517, 1944, 9839, 540, 4906, 538, 30912, 6759, 933, 330, 269, 7324, 519, 10997, 941, 853, 29646, 808, 1678, 3298, 6390, 267, 8250, 540, 513, 4387, 689, 15662, 479, 6759, 323, 385, 374, 267, 543, 519, 28234, 529, 345, 1168, 24989, 19946, 267, 945, 6410, 547, 8303, 1310, 519, 2112, 269, 634, 6014, 1453, 1185, 7301, 3961, 6054, 269, 1358, 941, 5219, 972, 2901, 676, 741, 3885, 610, 676, 1875, 11219, 28779, 29872, 1734, 540, 519, 3885, 267, 607, 1134, 607, 676, 6014, 3906, 3742, 538, 519, 15063, 540, 1453, 269, 1358, 4797, 547, 581, 1352, 2741, 1229, 1256, 950, 741, 13384, 832, 1223, 711, 1832, 909, 609, 11033, 585, 741, 909, 18141, 269, 18641, 267, 9039, 540, 519, 6014, 1453, 729, 4362, 676, 519, 16586, 269, 6014, 4079, 941, 849, 3144, 538, 269, 1280, 1383, 267, 7905, 4477, 6511, 7101, 2993, 385, 482, 338, 6390, 540, 32160, 779, 5131, 2160, 630, 310, 565, 3534, 654, 338, 2763, 1013, 3821, 744, 23410, 342, 9332, 16305, 264, 543, 519, 1079, 27956, 345, 19946, 941, 6456, 538, 519, 3993, 2777, 593, 717, 384, 503, 560, 320, 9335, 630, 852, 15261, 23410, 331, 3570, 9335, 264, 538, 32160, 269, 634, 12624, 4937, 267, 623, 807, 2274, 23410, 333, 1171, 338, 6390, 9738, 2673, 3346, 609, 606, 3919, 602, 19443, 7642, 269, 590, 3563, 1656, 337, 2763, 10937, 779, 1292, 5539, 729, 519, 1453, 779, 10051, 267, 538, 1840, 547, 1200, 3450, 11645, 630, 321, 5735, 1040, 2701, 729, 849, 771, 6312, 3481, 547, 519, 575, 2867, 1729, 6821, 1141, 1352, 6394, 9390, 539, 1453, 543, 3576, 873, 547, 1585, 5996, 757, 269, 1879, 8594, 561, 24642, 539, 267, 1352, 6896, 519, 4483, 540, 6014, 1453, 547, 824, 6753, 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 ]
[ 1591, 1382, 267, 1383, 1557, 593, 25782, 6565, 2281, 2228, 1382, 11556, 593, 6565, 2281, 563, 32459, 2118, 31375, 1743, 544, 747, 320, 546, 745, 330, 12027, 8678, 519, 20576, 585, 6565, 1591, 1382, 693, 519, 26958, 3128, 16379, 1990, 550, 5300, 544, 6686, 333, 7770, 538, 795, 2317, 476, 1001, 273, 1743, 546, 745, 330, 12027, 568, 519, 2212, 540, 519, 1480, 726, 584, 760, 582, 550, 6565, 1591, 1382, 2978, 543, 519, 1480, 13251, 726, 584, 760, 582, 550, 6565, 1591, 269, 21887, 689, 519, 1007, 24469, 4760, 540, 4915, 2443, 4212, 21856, 543, 1480, 25782, 6565, 16052, 1382, 269, 8426, 6565, 1591, 32245, 9263, 24595, 4930, 8989, 4681, 540, 8966, 4644, 538, 782, 2127, 540, 6565, 1591, 1382, 267, 1519, 6211, 8441, 543, 269, 6206, 5683, 2152, 538, 25782, 6565, 1591, 1382, 1883, 5683, 2152, 538, 25782, 6565, 1591, 1382, 2073, 32308, 267, 519, 1480, 25782, 6565, 1591, 7521, 27260, 299, 20235, 543, 1514, 2152, 538, 1480, 6565, 1591, 1382, 267, 10285, 543, 9354, 28295, 6565, 1591, 1382, 1480, 6565, 1591, 1382, 1016, 269, 7797, 689, 513, 10554, 593, 1533, 7939, 540, 28295, 543, 6565, 1591, 1382, 269, 5131, 6565, 1591, 4574, 267, 3594, 267, 543, 1382, 4574, 563, 17273, 476, 274, 540, 476, 276, 2063, 8242, 281, 476, 275, 15292, 476, 1001, 272, 32685, 933, 1755, 980, 3250, 3073, 1480, 25782, 6565, 1591, 1382, 543, 7881, 4470, 593, 519, 3942, 540, 519, 4503, 1272, 269, 769, 2038, 27362, 476, 1001, 277, 267, 519, 3084, 32112, 540, 1072, 630, 333, 8811, 264, 9307, 602, 621, 729, 4058, 547, 12740, 922, 7333, 593, 7616, 930, 1382, 602, 269, 634, 9552, 540, 1480, 24201, 547, 17589, 6565, 2281, 814, 1044, 513, 2243, 540, 5683, 3741, 606, 5483, 1857, 543, 1620, 3744, 568, 519, 11600, 585, 1697, 543, 1134, 8410, 2265, 539, 1382, 563, 11900, 2074, 538, 6565, 2281, 4760, 568, 1164, 1764, 9263, 2689, 4760, 799, 32245, 3312, 1382, 4930, 269, 21411, 2801, 1696, 620, 1867, 519, 8174, 566, 540, 1480, 512, 5268, 984, 18431, 6565, 2281, 689, 19046, 7514, 7370, 543, 2038, 28345, 553, 267, 20576, 585, 6565, 1591, 1382, 11783, 1323, 7650, 540, 1344, 827, 28295, 543, 25782, 6565, 1591, 1382, 689, 519, 5104, 569, 476, 1220, 273, 5683, 6302, 13186, 563, 268, 1215, 666, 1775, 1451, 811, 827, 524, 3305, 30845, 6565, 1591, 1382, 538, 513, 972, 568, 1100, 1259, 547, 3589, 950, 519, 1101, 1480, 25782, 6565, 1591, 11257, 786, 1831, 563, 268, 10241, 540, 24684, 281, 6565, 1591, 1382, 543, 519, 1480, 11646, 1788, 6565, 2281, 6565, 2281, 616, 5667, 2133, 1242, 2281, 1336, 538, 1804, 9424, 538, 4703, 540, 10099, 4926, 543, 538, 930, 2694, 540, 519, 2937, 1560, 563, 268, 3367, 513, 3084, 13664, 12139, 2376, 827, 6565, 1591, 1382, 543, 1205, 1344, 267, 5013, 267, 543, 811, 827, 25782, 6565, 2281, 563, 14549, 6565, 1591, 1382, 1869, 3788, 835, 540, 519, 4922, 23503, 3584, 538, 519, 4791, 543, 2797, 10580, 519, 28288, 543, 17837, 723, 2178, 7440, 21108, 741, 18879, 267, 543, 972, 568, 1869, 513, 2603, 540, 13509, 593, 713, 3390, 269, 654, 13860, 917, 930, 29224, 6565, 1591, 1382, 1934, 649, 2285, 596, 519, 5294, 607, 1134, 607, 931, 267, 519, 2029, 267, 519, 1382, 6165, 543, 519, 5683, 14196, 269, 6258, 827, 6565, 1591, 1382, 543, 875, 621, 949, 1764, 1480, 1072, 269, 0, 289, 836, 14994, 1250, 25130, 1894, 454, 272, 2487, 7835, 538, 1250, 25130, 543, 1007, 3255, 585, 1016, 15696, 1308, 9316, 281, 513, 29907, 14994, 5133, 3181, 777, 686, 5984, 536, 1002, 339, 778, 776, 320, 13747, 8284, 269, 594, 4367, 1250, 25130, 8118, 24468, 5604, 693, 546, 327, 10440, 593, 476, 2918, 15292, 476, 4198, 272, 1310, 29907, 14994, 3893, 519, 4830, 689, 7532, 533, 8140, 593, 476, 1626, 632, 4895, 476, 3192, 272, 2073, 1250, 25130, 543, 269, 7489, 543, 533, 6680, 9194, 4760, 267, 2019, 476, 2420, 267, 1100, 272, 267, 476, 1001, 274, 476, 15836, 1382, 4063, 519, 887, 3107, 5984, 21345, 6433, 543, 29907, 14994, 2173, 12505, 3405, 1894, 861, 20364, 14255, 2313, 514, 1612, 333, 7236, 269, 589, 8628, 2875, 540, 18381, 543, 513, 10583, 29907, 14435, 6062, 1775, 5326, 540, 513, 12560, 11636, 29907, 14994, 267, 8204, 519, 3020, 6891, 540, 9322, 538, 4763, 563, 763, 1686, 540, 1894, 1851, 519, 1004, 689, 930, 11182, 267, 799, 4867, 2291, 607, 519, 2797, 11769, 540, 2413, 6377, 29907, 14994, 543, 1250, 25130, 267, 7389, 1394, 547, 269, 16273, 543, 1250, 25130, 2671, 476, 27244, 9481, 518, 540, 2244, 8473, 1312, 519, 2477, 723, 513, 1279, 1686, 540, 4687, 2797, 267, 2686, 543, 2804, 12602, 1991, 547, 741, 269, 16273, 2173, 12505, 3405, 2804, 1894, 281, 10478, 585, 1007, 3255, 476, 8287, 689, 476, 3422, 273, 547, 476, 2735, 10436, 2705, 267, 1250, 25130, 779, 2804, 543, 2797, 13289, 269, 27060, 814, 14754, 513, 11931, 6908, 540, 11564, 676, 9843, 540, 1533, 610, 2229, 267, 4914, 26110, 540, 1082, 2477, 540, 519, 1158, 6237, 7060, 543, 519, 269, 7170, 281, 29907, 14994, 1700, 10767, 2742, 1894, 281, 6609, 4882, 889, 915, 281, 519, 15231, 2477, 540, 29907, 14994, 543, 3276, 2742, 630, 334, 1553, 6053, 267, 1250, 25130, 264, 4867, 723, 513, 24813, 24845, 269, 16273, 910, 1250, 25130, 1894, 29907, 14994, 568, 11303, 676, 15242, 547, 519, 7178, 267, 5087, 543, 22583, 267, 1250, 25130, 547, 519, 22703, 267, 543, 519, 15922, 540, 536, 1263, 531, 547, 519, 5045, 563, 305, 2129, 532, 5984, 3390, 281, 2520, 641, 29176, 543, 29907, 14994, 2173, 12505, 3405, 6935, 476, 272, 7493, 281, 519, 4657, 3486, 1931, 814, 2799, 519, 23786, 2956, 540, 1312, 269, 3127, 1532, 836, 14994, 7302, 2088, 1894, 281, 676, 10283, 538, 519, 29907, 14994, 2173, 12505, 3405, 10275, 684, 2719, 1500, 593, 1896, 18651, 1206, 547, 2087, 15242, 1532, 836, 14994, 1894, 269, 25083, 525, 7904, 4370, 585, 741, 2729, 616, 26311, 883, 29907, 14994, 936, 519, 1250, 25130, 8473, 607, 519, 4655, 1063, 7548, 540, 3486, 1894, 693, 269, 634, 30240, 2477, 540, 29907, 14994, 543, 1250, 25130, 1185, 513, 3622, 10260, 658, 2078, 896, 519, 3276, 332, 3150, 4108, 795, 2863, 320, 267, 4352, 519, 4527, 540, 936, 476, 17734, 267, 1822, 563, 31995, 14246, 538, 29907, 14994, 2173, 12505, 3405, 13218, 713, 1689, 538, 1935, 814, 519, 1761, 547, 3142, 827, 513, 2101, 6521, 538, 1250, 25130, 779, 1894, 609, 29907, 14994, 543, 1439, 269, 30323, 532, 5984, 21345, 1966, 568, 513, 1713, 3390, 538, 1250, 25130, 1532, 836, 14994, 1894, 543, 865, 267, 606, 14969, 4901, 593, 519, 3390, 568, 2556, 269, 9282, 1250, 25130, 568, 513, 2673, 16705, 267, 519, 2229, 540, 29907, 14994, 814, 1201, 11712, 689, 9591, 2673, 24845, 1894, 1813, 547, 519, 1279, 3856, 4108, 563, 289, 836, 14994, 1250, 25130, 1894, 454, 19328, 29907, 14994, 24845, 1894, 723, 1044, 6045, 1934, 269, 634, 1660, 3916, 887, 3107, 5984, 6433, 814, 1044, 27200, 519, 24845, 1894, 1063, 1250, 25130, 543, 29907, 14994, 2094, 519, 3735, 476, 3192, 271, 338, 713, 1957, 7710, 519, 6433, 540, 887, 3107, 5984, 563, 268, 12321, 1328, 1312, 540, 873, 786, 6336, 10617, 616, 14427, 543, 3972, 803, 267, 1100, 521, 2033, 6205, 1131, 1616, 513, 2112, 609, 606, 4346, 540, 29907, 14994, 610, 1250, 25130, 29907, 14994, 568, 19486, 1063, 563, 268, 634, 6433, 540, 519, 887, 3107, 5984, 607, 513, 1660, 3916, 12102, 538, 1250, 25130, 543, 24845, 1894, 609, 29907, 14994, 861, 20364, 14255, 2313, 514, 1612, 333, 7236, 7493, 519, 1660, 3916, 887, 3107, 5984, 6433, 814, 1044, 563, 268, 16273, 2173, 12505, 3405, 267, 1079, 15231, 2829, 540, 3791, 1158, 267, 723, 1044, 4509, 24845, 543, 20320, 1894, 2094, 476, 3192, 273, 950, 1250, 25130, 6444, 29907, 14994, 607, 513, 563, 289, 836, 14994, 281, 4057, 267, 14129, 267, 855, 2063, 1747, 540, 9675, 585, 513, 2034, 5951, 540, 1472, 476, 7742, 267, 1822, 19679, 1250, 25130, 585, 29907, 14994, 538, 476, 1960, 272, 9736, 1001, 278, 14643, 593, 4914, 1894, 269, 16273, 2173, 12505, 3405, 1894, 543, 519, 2493, 6804, 887, 3107, 344, 553, 535, 27518, 267, 476, 6187, 12354, 3426, 476, 1220, 277, 476, 1691, 281, 2420, 910, 1775, 723, 2907, 5219, 547, 519, 3390, 540, 1412, 514, 14179, 27035, 262, 1065, 27074, 566, 540, 519, 269, 476, 272, 4367, 29907, 14994, 568, 835, 540, 519, 2947, 2477, 602, 3295, 1250, 25130, 1250, 25130, 543, 29907, 14994, 2671, 513, 8473, 5111, 476, 27244, 12919, 1279, 543, 519, 1079, 269, 4024, 29907, 14994, 610, 519, 796, 1491, 1022, 2962, 1996, 1250, 25130, 786, 972, 581, 811, 5208, 538, 519, 669, 8636, 698, 784, 5991, 2180, 986, 16223, 710, 3148, 269, 634, 2631, 540, 4655, 540, 4690, 543, 25739, 20320, 3068, 11325, 29907, 14994, 2173, 12505, 3405, 1894, 13166, 3459, 689, 476, 1724, 23891, 4231, 476, 3192, 273, 269, 16273, 4914, 6935, 568, 1419, 3954, 6407, 585, 835, 31991, 1476, 4593, 730, 1935, 610, 835, 1606, 32484, 1935, 910, 9039, 540, 799, 568, 20009, 547, 513, 2197, 779, 2804, 269, 16273, 2173, 12505, 3405, 24845, 1894, 543, 6237, 6286, 676, 5067, 807, 2484, 327, 3570, 986, 327, 2006, 513, 5098, 11643, 585, 519, 4110, 540, 544, 15599, 538, 3486, 1894, 269, 0, 14503, 1662, 11568, 538, 17976, 17886, 1546, 1188, 630, 7918, 2187, 1432, 568, 519, 8912, 29164, 1974, 585, 10194, 31792, 26628, 888, 1432, 616, 521, 4882, 343, 540, 10194, 31792, 26628, 888, 12850, 344, 546, 11305, 8886, 725, 267, 543, 3834, 699, 8926, 454, 21595, 335, 762, 840, 4768, 7781, 700, 4696, 454, 2691, 1058, 10194, 31792, 26628, 581, 5219, 286, 630, 273, 994, 303, 664, 610, 28206, 1078, 22622, 454, 1692, 568, 10194, 31792, 26628, 10299, 888, 293, 558, 2572, 543, 20256, 547, 519, 3750, 454, 1692, 1279, 666, 8290, 2661, 585, 593, 535, 558, 2572, 609, 10194, 31792, 26628, 888, 1432, 568, 519, 8912, 2014, 540, 10194, 31792, 26628, 888, 3519, 31019, 26628, 10707, 689, 835, 3750, 547, 519, 824, 6920, 1018, 1696, 5735, 888, 1432, 568, 519, 31916, 2126, 585, 10194, 31792, 26628, 888, 1432, 568, 519, 28658, 602, 666, 2049, 609, 28335, 538, 8156, 10194, 31792, 26628, 888, 13434, 584, 5270, 543, 524, 5241, 2042, 454, 1432, 568, 519, 22521, 2126, 585, 10194, 31792, 26628, 888, 1432, 568, 1990, 597, 1146, 888, 302, 4788, 575, 4545, 545, 21754, 597, 585, 23034, 454, 1432, 616, 519, 521, 4882, 343, 540, 15601, 2241, 343, 3750, 2068, 286, 630, 274, 994, 13305, 525, 2873, 593, 2960, 610, 22442, 573, 14345, 454, 1432, 568, 519, 1909, 540, 5711, 17617, 597, 1023, 609, 23034, 6926, 874, 541, 27019, 31019, 26628, 888, 11854, 539, 6571, 267, 855, 568, 1582, 3908, 454, 1432, 616, 519, 521, 4882, 343, 540, 9190, 31792, 26628, 888, 5174, 10561, 11940, 641, 584, 12040, 546, 11305, 454, 19675, 596, 2528, 9190, 31792, 26628, 888, 7224, 734, 15884, 711, 1689, 2126, 610, 7369, 4093, 519, 5318, 5354, 540, 519, 942, 454, 1432, 568, 519, 2126, 585, 9190, 31792, 26628, 286, 630, 274, 994, 6874, 641, 673, 705, 343, 1627, 2839, 454, 8862, 1301, 5848, 14771, 525, 454, 1432, 616, 519, 705, 602, 1058, 581, 1031, 547, 9190, 31792, 26628, 888, 1432, 616, 519, 3123, 540, 30564, 31792, 26628, 286, 630, 274, 994, 1432, 568, 519, 4214, 540, 30564, 31792, 26628, 888, 3519, 31019, 26628, 538, 513, 19440, 622, 630, 1652, 982, 476, 272, 3923, 994, 1432, 568, 519, 1152, 31792, 26628, 602, 1058, 581, 31796, 888, 12179, 3346, 7828, 649, 13145, 945, 10953, 522, 4788, 2589, 4440, 814, 1018, 267, 2014, 676, 1018, 888, 290, 11448, 531, 22377, 3361, 676, 15554, 14137, 553, 454, 1432, 568, 519, 3056, 11763, 2014, 540, 21901, 538, 519, 2475, 888, 9391, 309, 3750, 2068, 454, 1432, 1826, 540, 3968, 2356, 4386, 609, 519, 3119, 267, 543, 6281, 14501, 540, 1200, 335, 2045, 31792, 26628, 888, 27650, 815, 796, 10561, 6926, 874, 541, 27019, 31019, 26628, 454, 13553, 776, 284, 24845, 1657, 267, 528, 25853, 23128, 22807, 454, 1432, 568, 519, 28264, 4806, 602, 568, 2938, 609, 23034, 5563, 888, 1962, 534, 4221, 609, 12363, 1439, 15620, 454, 3963, 1058, 596, 2057, 22521, 28335, 609, 15601, 23128, 22807, 888, 7232, 4582, 919, 12499, 22811, 2604, 454, 5336, 599, 14984, 5573, 16507, 1351, 928, 531, 21385, 454, 1432, 568, 519, 2126, 585, 23034, 31792, 26628, 888, 307, 17287, 1663, 528, 1054, 2096, 26593, 610, 575, 4545, 545, 21754, 597 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 798, 596, 546, 1442, 513, 21937, 779, 2766, 888, 5575, 540, 782, 267, 546, 12177, 3322, 5969, 1055, 513, 6712, 540, 519, 21937, 779, 2766, 269, 634, 546, 12177, 540, 21217, 568, 2944, 585, 6198, 4128, 269, 898, 568, 6140, 2944, 547, 1118, 519, 2915, 811, 1140, 25293, 547, 1010, 1604, 269, 634, 2915, 779, 2766, 568, 1419, 546, 18088, 547, 2061, 7063, 269, 898, 568, 849, 2944, 547, 2061, 7063, 547, 824, 1004, 267, 2523, 952, 519, 2915, 568, 6854, 538, 519, 1920, 269, 589, 2915, 609, 922, 2766, 546, 18088, 568, 1447, 2693, 547, 22545, 883, 1004, 269, 634, 546, 12177, 849, 8952, 519, 2915, 779, 2766, 689, 4742, 8126, 1194, 538, 12904, 610, 824, 3615, 269, 1924, 267, 952, 596, 616, 835, 540, 1346, 1007, 2915, 5411, 945, 616, 3206, 827, 3478, 707, 2915, 779, 2766, 546, 18088, 267, 519, 5650, 568, 711, 602, 2182, 269, 4107, 3318, 2915, 9742, 619, 666, 798, 519, 5650, 267, 610, 596, 666, 3362, 1451, 875, 547, 546, 1442, 707, 21937, 779, 2766, 3054, 10756, 3963, 616, 1351, 326, 529, 10728, 888, 290, 3073, 529, 616, 1507, 538, 2450, 543, 1413, 20036, 547, 3025, 269, 1809, 602, 3085, 1406, 1611, 789, 616, 12560, 2831, 269, 1358, 666, 4323, 950, 789, 1294, 2576, 3116, 15700, 741, 5411, 610, 824, 10130, 269, 1358, 616, 2965, 3640, 2831, 543, 4782, 547, 581, 538, 513, 12733, 269, 2334, 779, 1946, 789, 4043, 547, 4323, 950, 2576, 18953, 606, 3662, 538, 519, 1482, 12733, 269, 595, 3073, 529, 616, 1200, 3429, 5243, 543, 13265, 543, 12418, 568, 741, 585, 974, 269, 1358, 23636, 1919, 543, 4323, 873, 950, 789, 32603, 2476, 689, 741, 12733, 269, 1924, 713, 568, 1946, 1351, 326, 529, 616, 10728, 10756, 3963, 1281, 10348, 10906, 899, 1351, 326, 529, 888, 290, 3073, 529, 616, 16168, 5243, 267, 543, 519, 10348, 779, 9393, 267, 519, 3735, 3751, 6723, 17886, 267, 1185, 1351, 326, 529, 607, 10130, 607, 646, 729, 3395, 909, 269, 3767, 602, 1352, 568, 10348, 267, 1352, 5170, 547, 1832, 873, 607, 10130, 269, 1358, 941, 1101, 1031, 607, 1200, 3429, 5243, 267, 543, 789, 616, 1360, 3742, 5243, 602, 666, 581, 6854, 538, 1507, 5624, 543, 798, 711, 991, 513, 2603, 540, 3635, 269, 1358, 9742, 3533, 543, 666, 581, 4421, 547, 824, 1004, 543, 3885, 907, 0, 12867, 723, 9112, 513, 1007, 10991, 24059, 602, 30397, 28342, 14137, 553, 7098, 1872, 514, 6242, 267, 513, 1455, 2890, 2041, 543, 513, 3056, 2014, 540, 6413, 14092, 638, 1600, 5563, 267, 543, 1011, 3941, 267, 16089, 17059, 15412, 10118, 602, 6146, 519, 28164, 563, 763, 2164, 267, 3370, 2221, 630, 20606, 476, 1626, 264, 538, 17449, 7010, 10334, 267, 2303, 602, 519, 22041, 4551, 1522, 5555, 581, 1031, 547, 2061, 610, 1521, 3968, 609, 623, 269, 7098, 1872, 514, 6242, 538, 3425, 563, 7476, 519, 2407, 1650, 693, 634, 26831, 563, 278, 270, 276, 270, 1001, 273, 476, 1321, 281, 3607, 281, 876, 993, 454, 763, 5816, 568, 1644, 547, 519, 4551, 543, 519, 5098, 2944, 593, 621, 15660, 899, 519, 5816, 2022, 547, 1224, 269, 12552, 513, 2603, 563, 272, 270, 1724, 270, 1001, 278, 476, 6187, 281, 4375, 281, 4510, 993, 454, 15124, 2376, 256, 901, 568, 519, 1826, 540, 1344, 602, 616, 5921, 547, 581, 1857, 1472, 519, 4950, 563, 32306, 513, 31400, 269, 0, 308, 614, 710, 17316, 28281, 616, 513, 1106, 540, 1875, 4754, 1356, 748, 10510, 602, 3029, 538, 519, 19786, 269, 2755, 789, 666, 581, 28105, 267, 789, 666, 849, 2408, 609, 11213, 543, 27676, 2589, 269, 2290, 540, 519, 1034, 7928, 2589, 568, 7050, 11702, 1282, 28689, 269, 901, 11702, 666, 581, 4049, 2614, 602, 621, 5932, 1272, 18446, 17350, 269, 2290, 10835, 540, 17350, 568, 1713, 25874, 543, 8467, 269, 901, 9854, 666, 1764, 519, 2702, 547, 1599, 7363, 543, 2226, 513, 4876, 269, 589, 3668, 540, 1648, 849, 2306, 621, 2352, 547, 2226, 3347, 543, 1514, 1272, 269, 13229, 5574, 616, 2139, 547, 2232, 17350, 543, 5230, 18492, 11702, 689, 4017, 28281, 563, 28403, 1944, 634, 12580, 2986, 1323, 8598, 454, 2691, 707, 1560, 814, 13385, 2699, 1973, 2281, 547, 3560, 5135, 2429, 707, 1560, 267, 621, 779, 513, 2783, 1634, 607, 17350, 269, 901, 2783, 2164, 711, 1175, 689, 513, 3668, 540, 1973, 855, 689, 519, 3668, 540, 24562, 538, 707, 1973, 269, 12920, 18331, 568, 606, 4401, 11656, 3940, 602, 4249, 606, 1898, 1909, 538, 938, 10307, 543, 519, 3560, 540, 5135, 269, 5871, 15486, 540, 1323, 8598, 3417, 281, 519, 9552, 540, 2699, 1973, 2281, 267, 4057, 2504, 540, 2699, 1973, 2281, 267, 543, 1973, 2530, 563, 2467, 616, 1114, 2010, 540, 17350, 267, 1519, 912, 268, 11635, 10638, 17350, 281, 901, 1826, 540, 17350, 2164, 689, 519, 1970, 8244, 540, 2699, 1973, 2281, 543, 24562, 563, 268, 623, 1716, 5534, 17350, 281, 1879, 519, 1560, 568, 6721, 606, 13385, 2179, 540, 606, 1271, 3940, 1634, 607, 17271, 3815, 267, 829, 5371, 1190, 17350, 4386, 269, 901, 3815, 568, 2556, 585, 11006, 6171, 645, 1321, 865, 621, 666, 581, 12842, 3362, 538, 519, 1507, 16892, 269, 9453, 6190, 17271, 3815, 267, 519, 2504, 540, 681, 6195, 338, 568, 4389, 563, 268, 12920, 32673, 1323, 8598, 281, 901, 2783, 568, 519, 1267, 540, 681, 6195, 338, 12955, 1354, 789, 3914, 2185, 3275, 269, 10201, 2299, 789, 949, 581, 1373, 10032, 676, 713, 942, 269, 901, 2306, 621, 7543, 585, 519, 5642, 20768, 547, 3132, 2614, 681, 6195, 338, 547, 5372, 1346, 4503, 269, 634, 1267, 568, 13385, 2702, 547, 3560, 5135, 563, 4322, 2099, 513, 1507, 4015, 540, 519, 1034, 4122, 11402, 3029, 540, 17350, 269, 2755, 519, 2707, 540, 519, 17350, 949, 8428, 267, 519, 4890, 2589, 4043, 547, 581, 2147, 269, 2368, 1455, 10832, 596, 949, 581, 7092, 689, 17350, 1331, 912, 268, 8899, 1648, 543, 9854, 454, 268, 10374, 1145, 540, 7362, 454, 268, 19232, 610, 5835, 532, 2960, 454, 268, 24732, 610, 3952, 602, 616, 4411, 454, 268, 1133, 17141, 4028, 26470, 454, 14818, 532, 585, 17350, 4611, 689, 4017, 28281, 3322, 7900, 513, 2347, 1973, 1293, 1449, 267, 1634, 607, 513, 595, 6195, 269, 901, 1449, 11974, 707, 2157, 540, 22104, 665, 761, 543, 24562, 269, 12920, 520, 665, 761, 568, 513, 2268, 540, 519, 1297, 540, 2699, 1973, 2281, 538, 707, 1973, 269, 1879, 891, 2338, 616, 2630, 3339, 267, 621, 666, 581, 513, 1129, 540, 17350, 269, 1323, 8598, 666, 1267, 689, 4017, 28281, 538, 2665, 1141, 1360, 5230, 1973, 2530, 4386, 1282, 28689, 563, 23086, 2659, 17316, 5514, 28154, 1280, 31700, 827, 1323, 8598, 454, 2252, 596, 2461, 7255, 602, 5230, 8928, 689, 4017, 28281, 616, 4929, 17350, 2589, 267, 3914, 856, 547, 707, 4017, 5514, 11285, 269, 1358, 3580, 1865, 707, 4017, 5514, 2589, 609, 596, 543, 3313, 952, 513, 595, 6195, 568, 2556, 269, 1403, 789, 3494, 596, 2461, 693, 1981, 540, 17350, 267, 789, 3580, 8430, 519, 1449, 547, 3313, 952, 596, 4076, 2919, 17350, 269, 1323, 8598, 666, 581, 1272, 18446, 267, 865, 581, 1978, 547, 1205, 13761, 2221, 952, 596, 2461, 7680, 2589, 269, 0, 288, 4216, 689, 918, 5407, 5080, 21215, 610, 1776, 2147, 6221, 13352, 538, 3337, 563, 27609, 566, 585, 5373, 476, 274, 291, 4050, 454, 12606, 519, 23296, 4290, 543, 1820, 621, 563, 20278, 513, 12001, 16439, 1957, 593, 1283, 540, 519, 23296, 4290, 610, 13594, 936, 621, 609, 9633, 532, 11746, 547, 2061, 23578, 1957, 547, 519, 1587, 563, 7093, 6768, 519, 5068, 540, 519, 2838, 4778, 563, 21010, 519, 476, 274, 291, 4050, 547, 519, 1379, 3761, 543, 1305, 519, 2837, 2687, 547, 519, 5697, 1826, 540, 5068, 454, 3721, 8386, 9912, 5850, 834, 1692, 547, 2721, 513, 6928, 609, 513, 476, 274, 291, 4050, 4799, 2414, 1106, 519, 26083, 540, 513, 6928, 267, 649, 991, 513, 4216, 689, 918, 5407, 5080, 21215, 610, 1022, 824, 1843, 602, 568, 5078, 538, 3337, 269, 8571, 3368, 519, 1560, 2059, 922, 1279, 851, 609, 513, 476, 274, 291, 4050, 563, 5475, 16439, 519, 26083, 540, 519, 10935, 267, 5402, 4894, 519, 25581, 4216, 689, 621, 269, 7843, 1602, 3320, 1305, 519, 7406, 11735, 563, 8794, 513, 23296, 4290, 267, 5858, 519, 29523, 543, 6367, 540, 519, 6928, 267, 607, 1134, 607, 519, 25229, 1457, 13692, 563, 16920, 778, 519, 6537, 2694, 547, 519, 26083, 540, 519, 10935, 609, 513, 476, 274, 291, 4050, 563, 290, 22511, 519, 5011, 540, 519, 10935, 543, 8936, 873, 547, 519, 26083, 563, 27087, 519, 2681, 540, 519, 5068, 543, 2721, 936, 519, 521, 5661, 454, 19352, 519, 15958, 454, 16920, 778, 519, 521, 5661, 547, 519, 15393, 2047, 593, 519, 23296, 4290, 454, 11900, 728, 540, 519, 26083, 267, 2721, 513, 12050, 834, 4565, 582, 257, 609, 513, 476, 274, 291, 4050, 543, 2394, 621, 814, 942, 547, 2182, 2989, 267, 3888, 513, 15958, 609, 513, 13743, 269, 19244, 585, 519, 2034, 15958, 269, 12305, 513, 536, 3298, 335, 761, 593, 519, 6367, 540, 519, 6928, 543, 4368, 519, 2063, 13743, 593, 621, 563, 19352, 1079, 2694, 540, 519, 1796, 593, 519, 23296, 4290, 543, 1921, 873, 609, 3515, 1063, 1142, 824, 269, 634, 3845, 1063, 519, 2609, 540, 519, 2990, 1058, 5330, 547, 519, 2450, 540, 707, 10935, 0, 8368, 540, 9115, 912, 268, 23081, 857, 538, 513, 1159, 792, 454, 268, 16453, 29370, 3271, 320, 538, 519, 1159, 792, 454, 268, 1548, 1281, 519, 4527, 540, 9279, 857, 538, 513, 1159, 792, 5815, 888, 268, 23081, 857, 538, 513, 1159, 792, 910, 3123, 454, 268, 23081, 857, 910, 2589, 454, 268, 595, 11484, 639, 2126, 454, 268, 10644, 540, 9279, 857, 454, 21581, 281, 23081, 857, 769, 589, 3911, 792, 910, 15486, 267, 12580, 267, 9615, 454, 1708, 274, 8191, 281, 24981, 654, 664, 342, 2431, 1923, 1496, 16942, 6870, 4940, 7831, 9168, 281, 476, 1708, 274, 268, 4962, 268, 2190, 476, 1556, 281, 4905, 454, 290, 665, 857, 538, 513, 1159, 792, 454, 1103, 1840, 547, 1585, 14471, 267, 20085, 4551, 910, 9279, 857, 910, 849, 2661, 3330, 513, 1268, 269, 3657, 789, 1434, 585, 721, 286, 6884, 9811, 267, 607, 538, 1082, 2665, 789, 1685, 1585, 3730, 3252, 269, 1717, 267, 835, 1058, 849, 3314, 827, 519, 6228, 540, 2309, 2065, 543, 23633, 9279, 5632, 18508, 269, 2334, 568, 267, 3388, 538, 938, 1560, 1058, 581, 538, 513, 1978, 2179, 543, 711, 9765, 519, 2343, 269, 1403, 538, 519, 1560, 972, 568, 606, 3742, 12093, 540, 9279, 857, 267, 713, 568, 3006, 9808, 9853, 609, 2864, 18473, 4539, 563, 31863, 29370, 3271, 320, 538, 519, 1159, 792, 454, 763, 15866, 3339, 29370, 3271, 320, 540, 519, 4775, 29199, 5161, 540, 3679, 30858, 14915, 984, 659, 650, 328, 610, 267, 607, 789, 616, 849, 1572, 267, 667, 14575, 548, 514, 781, 22203, 267, 607, 1134, 607, 513, 1507, 1297, 540, 17757, 739, 516, 696, 25497, 857, 630, 12671, 476, 276, 8472, 543, 536, 604, 573, 3518, 22160, 630, 12671, 476, 1015, 22103, 769, 713, 2013, 267, 519, 1292, 1599, 540, 519, 3339, 29370, 3271, 320, 540, 519, 29199, 568, 547, 1711, 513, 2027, 15755, 1604, 538, 799, 23633, 4551, 3112, 1332, 543, 1020, 563, 763, 6225, 29370, 3271, 320, 540, 519, 29199, 568, 1360, 1271, 585, 519, 960, 540, 782, 8219, 543, 1949, 540, 519, 4807, 781, 1560, 269, 5843, 13060, 1685, 519, 1739, 3252, 912, 268, 10038, 23639, 2157, 3248, 268, 6861, 23633, 4551, 543, 17973, 3248, 268, 2087, 10894, 3157, 563, 1432, 1281, 519, 4527, 540, 9279, 857, 538, 513, 1159, 792, 5815, 888, 763, 4527, 540, 513, 1804, 1297, 540, 9279, 857, 538, 519, 1159, 792, 6920, 519, 1184, 540, 12659, 16433, 1436, 540, 519, 9115, 540, 519, 29199, 269, 634, 5114, 540, 519, 1604, 547, 519, 4527, 540, 9279, 857, 666, 581, 835, 540, 1614, 912, 268, 9243, 630, 335, 295, 909, 547, 476, 276, 269, 271, 11850, 268, 5594, 15755, 630, 335, 295, 909, 547, 476, 278, 269, 271, 11850, 268, 22279, 630, 335, 295, 693, 1472, 476, 278, 269, 276, 1916, 5575, 267, 607, 513, 1267, 540, 513, 13581, 6521, 538, 9063, 547, 519, 22279, 2427, 267, 6121, 25698, 9733, 25497, 857, 616, 7923, 547, 3679, 30858, 14915, 984, 659, 650, 328, 269, 2311, 519, 1482, 942, 267, 519, 1297, 540, 667, 14575, 548, 514, 16853, 2933, 11081, 269, 634, 5594, 15755, 543, 9243, 1604 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4441, 1921, 2066, 22204, 267, 3446, 13164, 267, 543, 1543, 2127, 547, 948, 1053, 1020, 519, 2792, 543, 10763, 1983, 1898, 585, 2852, 543, 4876, 22026, 30818, 634, 2127, 540, 519, 661, 6369, 4441, 602, 2099, 519, 1034, 1713, 2242, 547, 1870, 607, 8912, 269, 2080, 267, 3610, 543, 1153, 3401, 786, 1265, 1344, 789, 991, 547, 2253, 15268, 741, 2853, 547, 2327, 782, 1053, 4487, 519, 1007, 543, 4101, 1570, 519, 4441, 1459, 269, 589, 4052, 3992, 4058, 1184, 547, 946, 609, 519, 5871, 11759, 267, 1759, 593, 15858, 19019, 2334, 3718, 267, 476, 273, 526, 3798, 1421, 568, 3769, 267, 2059, 609, 1614, 3732, 4245, 269, 4041, 27073, 5990, 661, 7704, 28718, 28940, 5508, 5990, 25265, 2177, 2910, 3918, 763, 3446, 7400, 543, 1641, 10391, 16797, 268, 9359, 20929, 538, 519, 4197, 519, 5871, 11759, 11621, 3126, 267, 12995, 676, 3627, 918, 754, 718, 267, 616, 2966, 547, 948, 1153, 3401, 543, 1153, 5234, 338, 2490, 5871, 11759, 4441, 883, 17396, 267, 1543, 11656, 6437, 543, 2500, 267, 4928, 7400, 4245, 563, 305, 2313, 25166, 1841, 772, 454, 2791, 723, 6603, 476, 6110, 2473, 303, 543, 31577, 11113, 269, 2334, 568, 519, 3232, 3193, 2336, 21918, 1243, 942, 2709, 912, 7476, 519, 1101, 835, 1863, 2336, 5472, 519, 1344, 596, 991, 538, 835, 1747, 256, 3962, 5530, 16684, 568, 513, 5758, 540, 835, 1808, 1641, 282, 5013, 267, 5515, 267, 543, 3137, 547, 948, 596, 1451, 5488, 563, 8266, 3902, 281, 1269, 1704, 269, 4817, 454, 15648, 1032, 281, 476, 1001, 273, 454, 21812, 281, 5948, 585, 8111, 9679, 1299, 15099, 4886, 454, 26397, 4266, 281, 476, 1015, 270, 1789, 270, 1001, 273, 454, 23917, 281, 476, 277, 269, 4037, 257, 2647, 1535, 476, 279, 269, 4037, 257, 1279, 1535, 476, 271, 269, 1839, 257, 7381, 454, 347, 10666, 519, 5871, 11759, 2296, 5678, 8551, 11621, 585, 4400, 3427, 2008, 26180, 1371, 19791, 543, 19019, 531, 20480, 2008, 347, 1692, 519, 11621, 3657, 5029, 1242, 2008, 347, 21010, 687, 21661, 12474, 19791, 2008, 347, 7343, 754, 1182, 547, 519, 661, 6369, 13624, 3438, 2329, 11621, 2008, 347, 7659, 14313, 543, 19672, 2008, 18871, 2761, 543, 12856, 2008, 347, 18204, 1674, 540, 11310, 543, 14313, 2008, 31340, 1052, 540, 7335, 543, 5426, 540, 7956, 29203, 2008, 347, 17806, 9537, 543, 8830, 5099, 2008, 19064, 3174, 543, 17392, 540, 5675, 2008, 347, 10932, 547, 12706, 543, 10558, 11310, 2008, 31340, 1052, 540, 5675, 2008, 347, 11854, 1136, 543, 23016, 2008, 347, 4467, 11772, 542, 543, 21664, 2008, 19064, 19948, 540, 11310, 543, 14313, 2008, 347, 3519, 6761, 540, 9208, 2296, 2008, 347, 15447, 1578, 540, 5678, 2008, 347, 309, 665, 5879, 21733, 9974, 543, 2422, 2008, 347, 21980, 766, 585, 19019, 531, 12020, 2008, 21511, 17563, 585, 19019, 531, 12020, 2008, 347, 3674, 901, 11905, 28946, 1043, 286, 2422, 995, 286, 4208, 543, 4208, 3502, 286, 630, 5085, 288, 24110, 476, 280, 268, 1015, 10245, 347, 5141, 846, 7335, 540, 543, 5675, 6168, 17826, 630, 5085, 288, 24110, 476, 1556, 268, 1321, 10245, 347, 18698, 27484, 267, 20828, 267, 543, 31898, 7595, 538, 519, 16672, 540, 14412, 630, 5085, 288, 24110, 476, 1556, 268, 1321, 10245, 347, 10666, 519, 22439, 347, 0, 1607, 1102, 4919, 2982, 519, 2596, 5013, 827, 1141, 2829, 1796, 593, 27083, 7269, 563, 307, 9506, 27083, 883, 513, 3625, 9886, 1131, 6038, 1611, 11912, 538, 2533, 547, 1004, 945, 991, 1072, 1416, 519, 1034, 269, 898, 1131, 849, 2322, 2829, 4625, 593, 519, 13622, 585, 796, 656, 4602, 730, 1072, 1416, 3790, 563, 3080, 540, 519, 1283, 14422, 540, 519, 1318, 26310, 1895, 4892, 585, 18370, 704, 640, 630, 288, 17025, 264, 568, 16069, 27083, 7269, 2066, 519, 2197, 269, 1656, 538, 3162, 21241, 267, 789, 4076, 22283, 909, 741, 4238, 267, 2324, 547, 3541, 841, 7269, 5717, 538, 602, 1533, 563, 15761, 2056, 27083, 2640, 1970, 13867, 4079, 267, 741, 3885, 267, 519, 1072, 1416, 1062, 267, 543, 1533, 11615, 269, 898, 568, 1271, 547, 2226, 519, 1699, 5313, 27083, 14104, 2497, 547, 948, 1832, 519, 1982, 2178, 563, 763, 27083, 1982, 568, 513, 6325, 2707, 540, 7616, 585, 2829, 602, 10240, 9094, 741, 11615, 269, 27083, 2636, 2829, 547, 798, 811, 547, 2743, 741, 7264, 685, 1072, 1416, 2115, 982, 789, 1223, 798, 593, 741, 1378, 563, 2171, 4076, 8947, 1239, 689, 476, 2420, 2829, 6029, 602, 2324, 4079, 1118, 909, 519, 5354, 540, 1346, 945, 1223, 4324, 952, 2829, 9450, 27083, 269, 7348, 938, 1007, 1102, 4919, 543, 3390, 5618, 827, 519, 1283, 23909, 540, 519, 2324, 855, 796, 1231, 3293, 7264, 538, 27924, 563, 2026, 15424, 7886, 18487, 2097, 547, 606, 1439, 267, 513, 1413, 693, 713, 4786, 2982, 602, 1169, 1715, 4789, 1533, 814, 20366, 547, 4228, 27083, 267, 14178, 1072, 3795, 547, 5215, 540, 922, 1970, 13867, 7264, 563, 2750, 1061, 835, 281, 19051, 563, 12749, 476, 280, 23909, 540, 519, 6964, 855, 796, 1231, 3293, 538, 16713, 945, 1131, 4324, 689, 27083, 7269, 454, 763, 2551, 602, 1131, 1034, 4324, 689, 27083, 7269, 538, 16713, 568, 519, 2324, 2551, 267, 1346, 609, 26038, 909, 547, 476, 15946, 2600, 540, 519, 5313, 6710, 1377, 18121, 2767, 267, 20542, 585, 513, 1920, 540, 1614, 538, 476, 1001, 275, 1040, 590, 4869, 344, 2600, 540, 713, 2551, 568, 6964, 855, 796, 1231, 3293, 563, 288, 2487, 1867, 689, 519, 6554, 19098, 8433, 630, 16598, 302, 264, 2798, 547, 835, 811, 2601, 1946, 9750, 1072, 3795, 896, 519, 32285, 2657, 5516, 2920, 630, 3722, 288, 264, 2306, 1434, 2804, 2631, 269, 5890, 21505, 27083, 666, 9004, 10616, 538, 519, 1072, 3795, 540, 1346, 945, 5555, 18934, 538, 24310, 269, 901, 11479, 1524, 24310, 779, 3790, 1317, 679, 1503, 548, 525, 4043, 547, 18934, 538, 519, 1982, 538, 1732, 1072, 563, 6124, 5530, 689, 519, 20448, 8750, 4855, 338, 602, 1280, 4707, 27083, 28841, 14348, 8779, 3557, 1763, 6342, 9291, 687, 540, 12525, 667, 3326, 1513, 454, 21158, 827, 519, 2640, 540, 9750, 27083, 1175, 8952, 4947, 269, 2201, 5412, 476, 276, 267, 476, 1001, 274, 267, 519, 20448, 8750, 3370, 513, 1353, 3168, 693, 519, 2883, 2640, 585, 2829, 602, 4228, 27083, 896, 519, 32285, 5516, 2920, 269, 901, 1007, 1353, 3217, 513, 5594, 1114, 1413, 693, 1018, 27083, 7269, 1223, 1611, 585, 1533, 18083, 281, 898, 9060, 602, 2829, 602, 7947, 519, 27083, 7269, 616, 28428, 741, 7264, 17542, 540, 9489, 538, 9204, 269, 0, 12441, 596, 917, 596, 1223, 946, 594, 11070, 607, 606, 6595, 15333, 4003, 269, 3371, 568, 875, 519, 594, 11070, 4332, 1852, 1505, 666, 581, 1031, 607, 15333, 4003, 538, 6595, 2665, 454, 763, 21019, 6874, 594, 11070, 267, 849, 1634, 607, 519, 3474, 320, 294, 731, 267, 568, 1360, 2500, 693, 7303, 6379, 952, 17332, 1369, 2947, 2395, 1310, 796, 31695, 26697, 269, 634, 594, 11070, 1568, 607, 606, 6595, 15333, 21082, 676, 17021, 14203, 8572, 547, 7669, 267, 4657, 519, 4652, 23459, 1242, 4212, 267, 610, 7303, 519, 15498, 566, 540, 513, 6992, 1242, 4212, 563, 5629, 17332, 883, 519, 19786, 267, 519, 21019, 6874, 666, 581, 2451, 538, 1747, 543, 1031, 607, 707, 2834, 1505, 540, 4332, 1852, 585, 909, 547, 476, 1321, 1296, 563, 8794, 519, 21019, 6874, 594, 11070, 1369, 2947, 2395, 540, 796, 31695, 26697, 6971, 519, 1981, 540, 6379, 676, 476, 1911, 2600, 563, 8489, 547, 5192, 519, 21019, 6874, 594, 11070, 912, 763, 594, 11070, 1590, 581, 17332, 676, 513, 3782, 8502, 563, 18131, 945, 3112, 946, 519, 594, 11070, 585, 4332, 1852, 1058, 711, 946, 621, 585, 6595, 15333, 4003, 267, 2901, 269, 634, 594, 11070, 568, 711, 5227, 952, 596, 723, 23856, 12982, 2068, 630, 303, 2839, 264, 610, 606, 3742, 16891, 27695, 610, 669, 31779, 807, 3968, 269, 1717, 267, 621, 568, 2808, 2922, 547, 723, 606, 594, 11070, 17332, 952, 596, 723, 606, 28105, 16891, 27695, 610, 669, 31779, 807, 3968, 563, 1607, 2376, 6941, 827, 4775, 7873, 1682, 1519, 267, 1215, 547, 946, 21058, 9473, 1682, 267, 922, 7145, 267, 11393, 543, 2640, 538, 513, 3182, 3645, 1259, 563, 20055, 3054, 609, 6616, 799, 4332, 1852, 21447, 616, 1318, 585, 596, 2059, 609, 741, 2010, 267, 4408, 543, 2404, 4220, 543, 2640, 998, 713, 2376, 269, 0, 763, 661, 18449, 814, 9250, 513, 5619, 593, 2021, 543, 11702, 4713, 256, 20638, 281, 547, 1683, 606, 7650, 540, 519, 4775, 3461, 2551, 538, 2342, 563, 2252, 596, 616, 513, 8004, 11320, 2674, 609, 513, 11702, 4524, 610, 519, 27877, 540, 835, 267, 596, 616, 14376, 547, 1491, 851, 538, 519, 5619, 543, 948, 661, 18449, 2697, 1018, 616, 519, 1034, 4749, 5185, 2591, 269, 634, 2164, 786, 581, 1031, 547, 3313, 513, 1576, 540, 2962, 602, 519, 661, 18449, 666, 1491, 547, 2232, 891, 2152, 543, 547, 2333, 4656, 827, 713, 3461, 1895, 563, 12812, 1934, 952, 596, 6999, 547, 1491, 851, 538, 519, 5619, 269, 634, 21120, 568, 5437, 476, 276, 628, 563, 288, 4647, 762, 5299, 540, 519, 5619, 666, 581, 15600, 1934, 1141, 596, 666, 1820, 621, 1055, 267, 6445, 621, 856, 543, 2132, 621, 585, 519, 3007, 540, 27211, 7935, 23135, 693, 519, 4639, 540, 10430, 12794, 655, 17232, 807, 595, 6717, 693, 519, 29161, 9576, 5606, 3305, 776, 563, 11902, 302, 27211, 7935, 23135, 454, 295, 320, 655, 17232, 807, 1299, 774, 19407, 2670, 10418, 454, 294, 1037, 4469, 3233, 267, 6481, 13332, 454, 10908, 553, 26489, 9576, 5606, 3305, 776, 454, 9213, 568, 4139, 4303, 540, 519, 21756, 4132, 543, 713, 1032, 779, 6249, 568, 281, 2506, 303, 8582, 2207, 21989, 281, 6969, 267, 1282, 543, 1310, 16839, 563, 2108, 9336, 476, 1015, 3764, 267, 12341, 538, 519, 1158, 267, 606, 15730, 8004, 10523, 607, 513, 1267, 540, 5208, 269, 769, 19493, 18002, 267, 4008, 2861, 5208, 1419, 4679, 267, 1641, 532, 6690, 547, 4638, 543, 2168, 5208, 267, 1126, 7365, 267, 14226, 543, 19338, 269, 32183, 6690, 538, 4655, 10851, 616, 476, 3445, 829, 1298, 811, 2693, 547, 581, 856, 540, 1153, 950, 3379, 547, 6690, 538, 4655, 6954, 2477, 267, 18731, 741, 2104, 16548, 585, 960, 543, 2883, 7115, 607, 4079, 1848, 476, 272, 454, 4322, 27337, 4328, 7194, 5862, 513, 6926, 752, 4605, 585, 2021, 543, 6690, 1472, 519, 1158, 269, 1703, 616, 3486, 3646, 547, 4339, 585, 519, 2924, 540, 2021, 543, 6690, 543, 2087, 741, 3510, 269, 3371, 693, 12794, 655, 17232, 807, 10430, 267, 649, 723, 513, 2021, 779, 1895, 602, 10742, 5781, 269, 898, 568, 606, 16779, 8468, 585, 2021, 547, 1205, 1927, 543, 1865, 519, 2152, 7133, 873, 543, 3091, 513, 2230, 585, 2021, 547, 1489, 1142, 824, 563, 763, 6468, 779, 6828, 5063, 9250, 513, 2372, 2830, 5741, 267, 799, 568, 513, 10319, 267, 5001, 4674, 1141, 2021, 609, 513, 11702, 4524, 267, 610, 1004, 945, 917, 2021, 609, 513, 11702, 4524, 267, 616, 14376, 547, 18055, 513, 8470, 799, 4564, 875, 11702, 4713, 723, 4299, 741, 2729, 269, 11814, 1947, 267, 891, 8440, 786, 1118, 909, 513, 2027, 543, 19918, 27059, 844, 2830, 602, 786, 581, 1945, 15889, 602, 4564, 875, 519, 6468, 609, 28563, 5338, 15136, 2146, 7959, 269, 1411, 666, 11578, 547, 1491, 851, 538, 519, 844, 2830, 1788, 1934, 563, 2171, 786, 3136, 547, 1118, 1169, 4674, 547, 1489, 543, 7668, 519, 2021, 538, 938, 2146, 563, 9213, 568, 2622, 10076, 2657, 4303, 543, 713, 1032, 779, 6249, 568, 9036, 8171, 563, 26045, 1072, 2042, 666, 1860, 4896, 267, 693, 1022, 942, 540, 519, 1032, 269, 6762, 267, 4057, 282, 1762, 267, 2025, 282, 3109, 267, 3043, 282, 2110, 267, 7381, 267, 621, 1281, 711, 5806, 3729, 267, 1256, 1369, 938, 11702, 4713, 2146, 269, 1284, 21028, 938, 2146, 814, 1044, 4299, 11104, 3585, 689, 519, 13572, 1973, 1587, 5563, 543, 972, 723, 1044, 5571, 4539, 593, 938, 2168, 543, 2790, 1072, 563, 16352, 513, 11702, 4524, 3054, 267, 610, 538, 707, 1920, 267, 666, 723, 606, 1764, 593, 707, 2790, 1072, 269, 1284, 616, 2324, 547, 7794, 519, 11702, 4713, 2146, 538, 10430, 865, 1004, 723, 519, 4316, 547, 2743, 811, 1004, 945, 1174, 1018, 789, 616, 2469, 998, 269, 17115, 15700, 3490, 609, 2828, 610, 1920, 547, 1577, 873, 917, 875, 596, 616, 4743, 666, 1118, 513, 2462, 3017, 563, 2171, 1418, 1047, 513, 11112, 2621, 8430, 585, 938, 2146, 547, 3142, 3025, 1927, 269, 1452, 2621, 1683, 606, 4316, 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 ]
[ 5131, 19478, 267, 13378, 267, 1299, 11619, 1645, 563, 6826, 26272, 24737, 676, 4325, 9037, 11778, 256, 9612, 585, 21584, 7734, 4586, 339, 583, 3645, 543, 4704, 2835, 602, 948, 23501, 2744, 513, 4052, 1547, 14691, 609, 7046, 12710, 595, 1547, 476, 1704, 269, 1849, 1054, 29896, 538, 10371, 910, 8281, 10256, 689, 707, 13339, 29449, 1547, 910, 10371, 1280, 513, 3102, 267, 2653, 3562, 1606, 342, 9994, 3391, 547, 7046, 12710, 14691, 267, 713, 1433, 568, 856, 593, 922, 1378, 907, 8281, 2407, 17856, 7300, 269, 23155, 14691, 1210, 7046, 12710, 593, 7073, 11629, 999, 269, 1547, 519, 7046, 12710, 14691, 6651, 476, 10371, 3883, 13517, 7046, 12710, 630, 15411, 17270, 5678, 264, 568, 519, 1101, 28370, 6954, 3044, 585, 3444, 3760, 267, 6252, 5752, 540, 2413, 21932, 1336, 538, 2123, 5904, 267, 13763, 11783, 8281, 7300, 630, 274, 269, 278, 15406, 264, 7046, 12710, 14691, 676, 7151, 1547, 30488, 543, 4359, 3498, 9367, 786, 1265, 713, 1433, 1360, 3730, 269, 16193, 269, 7046, 12710, 907, 4635, 519, 1007, 7046, 12710, 1547, 7046, 12710, 14691, 6651, 269, 15580, 713, 1433, 630, 275, 269, 1321, 264, 476, 276, 5182, 476, 276, 269, 476, 275, 5182, 476, 1556, 269, 1547, 7300, 281, 16179, 281, 7046, 12710, 14691, 6651, 281, 13565, 7734, 907, 670, 2678, 15119, 7384, 609, 1930, 743, 476, 273, 526, 7824, 269, 1547, 670, 2678, 15119, 17270, 609, 7046, 12710, 15005, 269, 1547, 7046, 743, 14691, 7734, 8281, 5131, 7300, 10371, 18838, 676, 2947, 3056, 7046, 12710, 8128, 267, 7046, 12710, 14691, 6651, 6227, 519, 3003, 20487, 269, 1547, 12262, 13892, 269, 2998, 4355, 2593, 9706, 270, 1930, 743, 26247, 1606, 3263, 270, 1547, 3848, 476, 1704, 10371, 2622, 781, 700, 17999, 6732, 7991, 907, 2847, 273, 269, 278, 7537, 291, 24665, 730, 23155, 14409, 7046, 12710, 14691, 6651, 5437, 476, 1001, 274, 269, 7046, 12710, 23155, 14691, 1547, 1489, 6119, 543, 28085, 1644, 547, 707, 1433, 269, 9894, 596, 917, 602, 13268, 339, 3091, 26496, 8747, 540, 1169, 1433, 3370, 267, 609, 7300, 10371, 8281, 670, 2678, 15119, 17270, 609, 7046, 12710, 281, 1547, 3367, 6732, 610, 8281, 670, 2678, 15119, 17270, 609, 7046, 12710, 281, 4860, 2213, 7046, 12710, 476, 272, 269, 273, 7300, 269, 5381, 7384, 2835, 907, 1496, 323, 5877, 316, 552, 9248, 1930, 743, 5752, 676, 1383, 676, 986, 6665, 515, 330, 9618, 536, 9734, 476, 1001, 274, 476, 1321, 476, 2537, 7824, 713, 2571, 3758, 1433, 547, 1224, 543, 1491, 519, 2640, 907, 4635, 519, 1007, 7046, 12710, 630, 15411, 17270, 5678, 264, 3044, 267, 596, 666, 2328, 3156, 602, 1569, 782, 2139, 5752, 2200, 281, 8713, 5825, 267, 13382, 5825, 267, 543, 824, 269, 3883, 13517, 7046, 12710, 630, 15411, 17270, 5678, 264, 568, 519, 1101, 28370, 6954, 3044, 585, 3444, 3760, 267, 6252, 5752, 540, 2413, 21932, 1336, 538, 2123, 5904, 267, 13763, 11783, 519, 1930, 743, 5752, 1433, 8281, 519, 1930, 743, 5752, 1433, 610, 1224, 2228, 1934, 538, 7300, 610, 21768, 18510, 269, 7490, 4945, 7735, 547, 1205, 519, 1930, 743, 5752, 1433, 1433, 1631, 907, 7046, 12710, 14691, 676, 1547, 635, 585, 1489, 6119, 543, 28085, 1644, 547, 707, 1433, 269, 9894, 596, 917, 602, 13268, 339, 3091, 26496, 8747, 540, 1169, 1433, 3370, 267, 609, 7300, 10371, 4635, 7046, 12710, 281, 14691, 7136, 1947, 23155, 23675, 7300, 5131, 8281, 267, 17352, 267, 3367, 6732, 267, 1547, 519, 2930, 4295, 540, 519, 1433, 267, 9388, 609, 7046, 12710, 17950, 281, 10371, 12746, 8542, 1731, 26509, 328, 268, 984, 19085, 269, 16852, 269, 7046, 12710, 538, 11059, 281, 1215, 547, 24665, 622, 29093, 543, 6156, 725, 7300, 5131, 8281, 267, 17352, 267, 3367, 6732, 267, 9768, 281, 476, 14065, 278, 3066, 30203, 274, 267, 1635, 15623, 2480, 17369, 3626, 269, 24665, 908, 23694, 631, 10248, 609, 7046, 12710, 476, 272, 560, 9990, 21584, 8281, 5131, 910, 1635, 2605, 6471, 17566, 552, 5174, 23697, 910, 1159, 974, 9248, 2593, 269, 1547, 19545, 7824, 1930, 743, 5752, 1547, 676, 1383, 676, 986, 6665, 515, 330, 9618, 536, 9734, 476, 1704, 18051, 2073, 4647, 543, 1224, 1930, 743, 5752, 1547, 7046, 743, 5752, 676, 1383, 3640, 339, 2835, 267, 10371, 1496, 1348, 316, 1863, 1930, 743, 5752, 3391, 1566, 1263, 331, 7824, 3134, 889, 2835, 9089, 4647, 1930, 743, 5752, 3391, 1566, 1263, 331, 1930, 743, 5752, 3391, 1566, 1263, 331, 7824, 2835, 269, 4635, 519, 1007, 7046, 12710, 630, 15411, 17270, 5678, 264, 3044, 267, 596, 666, 2328, 3156, 602, 1569, 782, 2139, 5752, 2200, 281, 8713, 5825, 267, 13382, 5825, 267, 543, 824, 269, 595, 14691, 20861, 538, 7300, 10371, 634, 7046, 12710, 14691, 3883, 7824, 1547, 2433, 476, 271, 476, 1704, 6902, 1323, 4985, 547, 519, 7046, 12710, 14691, 7844, 476, 1001, 275, 268, 6349, 268, 2918, 907, 7046, 12710, 23155, 14691, 4886, 13648, 1504, 7300, 1547, 1296, 602, 616, 10858, 547, 7046, 12710, 269, 901, 1433, 786, 6542, 1547, 23155, 14691, 10371, 986, 6665, 515, 330, 9618, 536, 9734, 476, 1704, 18051, 2073, 1930, 743, 5752, 676, 1547, 1433, 4558, 4948, 1970, 5777, 543, 1547, 7046, 743, 10371, 3883, 281, 670, 2678, 15119, 17270, 609, 7046, 12710, 476, 273, 1547, 476, 273, 269, 271, 11414, 7046, 12710, 543, 6252, 5752, 585, 1950, 1949, 1547, 2703, 338, 270, 6347, 6021, 268, 13449, 743, 1673, 326, 17272, 757, 3613, 3195, 15005, 10371, 8281, 661, 1504, 2433, 26945, 7384, 1930, 743, 476, 274, 6113, 1433, 7824, 538, 7300, 14474, 907, 2622, 781, 700, 17999, 6732, 7991, 907, 7046, 12710, 20861, 910, 8281, 607, 7300, 11711, 30285, 23486, 1070, 7956, 11711, 1547, 476, 1704, 270, 277, 270, 1001, 271, 4985, 1547, 1547, 27066, 7046, 12710, 14691, 6651, 585, 519, 595, 308, 6395, 15339, 10371, 17976, 476, 1704, 7046, 12710, 31143, 691, 8592, 5459, 1546, 696, 1547, 2910, 17092, 277, 3607, 276, 7046, 12710, 7734, 7046, 12710, 14691, 6651, 1547, 634, 7046, 12710, 14691, 3883, 10371, 910, 634, 4414, 3883, 540, 7046, 12710, 634, 7046, 12710, 14691, 3883, 1547, 8525, 476, 1704, 10609, 1258, 657, 7046, 12710, 8249, 1547, 7046, 12710, 476, 272, 269, 273, 13129, 9315, 910, 7300, 4528, 269, 595, 14691, 20861, 538, 7300, 10371, 2859, 8100, 1644, 547, 1930, 743, 5752, 1547, 17270, 5292, 476, 1704, 10371, 7046, 12710, 20861, 910, 8281, 607, 7300, 11711, 30285, 23486, 1070, 7956, 11711, 1547, 476, 1704, 270, 277, 270, 1001, 271, 4985, 1547, 1547, 27066, 7046, 12710, 14691, 6651, 585, 519, 595, 308, 6395, 15339, 10371, 670, 2678, 15119, 7384, 609, 7046, 12710, 1547, 593, 7046, 12710, 267, 610, 1114, 2694, 540, 519, 1433, 1547, 476, 4200, 325, 271, 321, 5392, 277, 324, 278, 454, 600, 737, 584, 7999, 10769, 3541, 5067, 333, 523, 4150, 324, 7824, 476, 2420, 454, 13700, 559, 690, 773, 737, 15811, 3443, 3712, 3134, 889, 476, 2537, 454, 1817, 639, 8375, 8301, 1433, 796, 30457, 4647, 476, 9262, 454, 12064, 1250, 2295, 693, 20754, 12597, 7824, 476, 1321, 454, 312, 3641, 1042, 281, 2201, 1234, 268, 5825, 539, 476, 1428, 454, 31053, 1695, 5500, 320, 2367, 329, 655, 1584, 556, 345, 2131, 328, 7824, 476, 3066, 454, 3528, 5071, 1433, 476, 4200, 454, 529, 334, 476, 17734, 4962, 7824, 2823, 1872, 1132, 476, 2767, 454, 333, 15625, 3486, 2257, 2875, 1433, 476, 277, 7824, 476, 1626, 454, 5471, 29081, 561, 2378, 599, 7824, 4647, 476, 4792 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 3127, 538, 476, 1708, 272, 729, 476, 275, 2537, 269, 6434, 1004, 829, 4009, 9481, 518, 267, 513, 476, 271, 269, 9032, 260, 2333, 689, 476, 1708, 271, 269, 634, 2551, 5860, 540, 3127, 538, 476, 1708, 271, 729, 476, 275, 866, 269, 3199, 1004, 829, 4009, 9481, 518, 267, 513, 476, 271, 269, 4200, 260, 2333, 689, 476, 1001, 280, 269, 0, 3528, 21322, 4211, 600, 4068, 774, 2946, 528, 17845, 339, 454, 22492, 547, 519, 16680, 454, 6097, 547, 513, 1353, 3370, 593, 4139, 6468, 779, 4303, 630, 18550, 476, 279, 264, 676, 561, 685, 9743, 26623, 632, 5589, 615, 3832, 1696, 546, 685, 1103, 845, 725, 17502, 1470, 2946, 1595, 1664, 630, 7644, 3041, 1070, 2021, 616, 811, 11874, 12936, 982, 2367, 676, 519, 6855, 11652, 713, 568, 1100, 9868, 12725, 269, 10606, 689, 519, 5442, 9915, 304, 1397, 602, 2021, 538, 20563, 2099, 476, 7918, 267, 278, 829, 1298, 540, 7783, 2665, 543, 476, 7871, 267, 275, 829, 1298, 540, 2698, 7972, 1813, 547, 5046, 268, 866, 563, 763, 6490, 874, 8145, 698, 690, 631, 13612, 2021, 779, 8998, 267, 4171, 5692, 568, 547, 2087, 2713, 2175, 540, 2021, 538, 519, 3148, 267, 568, 513, 4395, 1467, 20626, 540, 519, 8375, 16526, 563, 2108, 18131, 941, 2907, 2713, 609, 513, 2647, 2039, 540, 16426, 269, 634, 6855, 814, 1312, 12006, 543, 24395, 730, 873, 2223, 1767, 519, 8998, 779, 4717, 13541, 966, 2946, 1258, 1664, 4678, 592, 2089, 324, 269, 9122, 593, 7422, 1500, 1282, 519, 6855, 267, 2021, 538, 519, 631, 13612, 2661, 811, 10072, 543, 4308, 609, 811, 22686, 7526, 630, 5976, 1453, 543, 838, 11817, 264, 982, 1354, 269, 0, 6097, 547, 799, 267, 6355, 14559, 568, 519, 13075, 2534, 602, 568, 6157, 7255, 609, 27147, 543, 909, 18141, 540, 2324, 3854, 7482, 538, 5870, 1312, 519, 10721, 543, 4357, 2883, 13800, 540, 1022, 13055, 269, 634, 10512, 4170, 540, 606, 13055, 666, 581, 4122, 9286, 538, 547, 1079, 6688, 269, 2290, 568, 4010, 1141, 2200, 616, 2838, 585, 7269, 543, 2034, 568, 16382, 2200, 786, 581, 2877, 585, 24569, 543, 7393, 519, 4398, 269, 589, 6198, 3854, 4238, 1544, 568, 9090, 5097, 2813, 585, 519, 3483, 540, 16734, 519, 2754, 2110, 543, 1279, 2165, 6859, 563, 763, 2596, 2462, 3017, 1063, 1870, 8804, 543, 4357, 8804, 568, 602, 519, 8545, 12211, 547, 6666, 2095, 269, 2423, 11789, 568, 519, 1883, 24072, 540, 606, 2500, 8804, 7245, 476, 273, 332, 984, 626, 648, 2593, 1982, 269, 7743, 4747, 16881, 5812, 4238, 543, 538, 2490, 267, 10607, 519, 2949, 2773, 543, 1871, 540, 713, 6109, 269, 769, 2474, 540, 519, 8647, 540, 8804, 568, 7255, 267, 7221, 543, 22440, 540, 606, 14679, 616, 2356, 13042, 607, 1699, 543, 1279, 3856, 563, 290, 1662, 2095, 568, 519, 2596, 2994, 799, 2724, 616, 1031, 1114, 5010, 8492, 269, 24511, 5010, 4871, 619, 616, 519, 3119, 2707, 998, 799, 11639, 1205, 8804, 585, 1870, 10551, 5574, 269, 20497, 8492, 7703, 7965, 2671, 540, 707, 11411, 538, 5883, 513, 1390, 13055, 779, 6666, 6503, 563, 2467, 616, 1082, 2010, 540, 1870, 2093, 610, 3919, 8804, 269, 29661, 666, 3442, 689, 6266, 540, 1870, 2093, 269, 3962, 971, 2856, 814, 11108, 2934, 543, 2640, 269, 1703, 616, 7899, 540, 2010, 540, 1870, 3435, 3681, 2139, 538, 519, 2344, 267, 855, 1082, 540, 3681, 3833, 9838, 538, 741, 2324, 1184, 1256, 1498, 930, 540, 741, 4162, 949, 8428, 563, 19968, 5411, 666, 2824, 689, 1082, 2010, 540, 1870, 14104, 3681, 899, 21425, 9520, 267, 1788, 3854, 1235, 267, 2123, 9806, 267, 616, 2965, 267, 11450, 267, 543, 1454, 811, 269, 1717, 2073, 972, 616, 7648, 538, 2474, 540, 4162, 267, 2640, 267, 543, 519, 1505, 540, 3498, 269, 1280, 3236, 2073, 1247, 1507, 3549, 7616, 4213, 1683, 1507, 2754, 14104, 1797, 547, 4368, 6079, 7482, 267, 2038, 3942, 16724, 949, 946, 17477, 14057, 269, 2201, 519, 824, 1688, 267, 7872, 3854, 1235, 1683, 2556, 948, 538, 2013, 540, 1870, 2856, 5821, 269, 1656, 538, 2013, 540, 21425, 9520, 267, 891, 5686, 540, 4357, 7616, 2959, 547, 6718, 513, 6712, 540, 513, 1870, 2856, 1510, 4058, 593, 1022, 2744, 563, 1103, 2489, 267, 1870, 8804, 568, 6157, 5258, 883, 1079, 2516, 2687, 547, 519, 1599, 540, 23231, 618, 269, 13317, 1242, 3854, 543, 6378, 3854, 10421, 2972, 606, 1271, 1599, 538, 8159, 1870, 14104, 4162, 269, 24371, 666, 2308, 3854, 538, 1079, 6688, 3226, 267, 1279, 2165, 543, 2110, 2165, 3854, 269, 7043, 2165, 3854, 568, 1031, 547, 4228, 543, 2844, 513, 1699, 1870, 563, 1103, 5618, 2165, 6666, 6503, 7175, 3919, 8804, 267, 1870, 17367, 2306, 946, 540, 1010, 9806, 610, 2883, 7029, 538, 1931, 547, 11886, 6378, 3854, 4170, 269, 769, 519, 2680, 519, 3355, 1942, 540, 1870, 14104, 568, 1447, 982, 10567, 267, 1287, 519, 1870, 17367, 666, 11694, 875, 1804, 519, 10211, 5781, 1369, 513, 6035, 3970, 269, 901, 4781, 666, 849, 581, 2808, 950, 547, 1831, 15372, 539, 547, 1205, 17956, 1996, 519, 3854, 269, 1323, 3617, 1826, 540, 2804, 666, 948, 519, 11639, 538, 7175, 2656, 1569, 547, 28880, 267, 1022, 942, 789, 723, 547, 6318, 9698, 609, 2463, 547, 2656, 26136, 563, 22102, 1870, 2724, 568, 2838, 5497, 585, 5870, 2110, 24507, 6666, 2095, 10421, 269, 674, 12089, 2165, 10211, 7727, 519, 1482, 9744, 540, 2653, 1569, 547, 6666, 267, 593, 519, 6378, 942, 1974, 269, 898, 568, 2356, 2139, 1282, 1870, 1974, 543, 1507, 13055, 8804, 568, 6035, 693, 513, 8519, 2557, 540, 1719, 1927, 609, 519, 2838, 4320, 269, 901, 9744, 568, 2139, 609, 14621, 547, 1279, 2165, 2883, 1932, 267, 2705, 519, 10210, 518, 2115, 547, 2628, 9425, 1164, 1719, 269, 1703, 568, 849, 513, 31498, 600, 1106, 540, 8756, 2165, 543, 1279, 2165, 14104, 602, 10905, 519, 2934, 540, 1312, 2010, 540, 2883, 10211, 269, 901, 1826, 540, 2804, 568, 811, 3617, 585, 4213, 602, 2154, 6666, 585, 513, 1279, 1974, 540, 1648, 269, 0, 276, 14594, 9293, 2060, 594, 344, 1107, 1677, 12398, 1913, 602, 723, 2947, 5022, 267, 946, 513, 2262, 1265, 518, 269, 1411, 666, 1118, 946, 540, 519, 32148, 4087, 2361, 267, 610, 1413, 909, 1913, 602, 723, 1808, 5022, 269, 6271, 4781, 568, 2262, 8638, 269, 6271, 4244, 568, 547, 3406, 585, 1913, 602, 723, 7368, 5022, 269, 1452, 2409, 616, 3608, 585, 4466, 1913, 609, 2947, 5022, 269, 1452, 2994, 616, 1152, 2500, 950, 596, 917, 519, 3169, 2262, 596, 616, 3168, 585, 563, 4462, 4385, 2990, 2361, 454, 2691, 596, 2461, 3843, 547, 1265, 1913, 602, 2270, 476, 276, 5022, 267, 596, 666, 946, 513, 2262, 1265, 518, 547, 4217, 596, 538, 4466, 519, 1913, 269, 6478, 1265, 518, 267, 799, 568, 606, 2228, 1907, 602, 568, 1863, 267, 14998, 596, 547, 3403, 519, 2262, 779, 4087, 2073, 543, 1287, 3406, 585, 519, 2262, 596, 2461, 10478, 585, 269, 898, 666, 849, 581, 3730, 538, 6061, 13410, 543, 10478, 585, 1913, 563, 23804, 1913, 602, 2270, 1978, 5022, 454, 2467, 616, 513, 3099, 540, 2409, 547, 1265, 1913, 5627, 1880, 5022, 269, 898, 779, 2653, 547, 12398, 1913, 602, 723, 1808, 5022, 676, 3274, 10024, 513, 4484, 883, 513, 2262, 20536, 269, 1403, 596, 4283, 18688, 607, 707, 1101, 4484, 543, 744, 607, 707, 3803, 1915, 267, 519, 2262, 20447, 786, 3132, 1913, 602, 2253, 609, 744, 269, 5272, 2262, 666, 2270, 1614, 5022, 1354, 621, 267, 543, 1079, 1739, 621, 269, 634, 13074, 2262, 568, 7768, 540, 476, 277, 5022, 269, 1306, 513, 1267, 267, 596, 3580, 1294, 1913, 899, 21398, 7563, 270, 5723, 7495, 292, 20324, 9128, 8104, 20324, 8016, 563, 17504, 1265, 619, 666, 581, 1031, 547, 1265, 1913, 269, 6478, 1265, 619, 723, 3982, 10833, 585, 1142, 4484, 2990, 269, 1677, 1265, 1913, 602, 1376, 609, 519, 4484, 267, 4283, 519, 1101, 4484, 538, 519, 1101, 4216, 269, 8921, 267, 4283, 519, 2034, 4484, 538, 519, 2034, 4216, 269, 1280, 519, 6967, 5022, 267, 596, 666, 10956, 519, 1184, 563, 2791, 666, 849, 8415, 519, 8675, 3406, 2599, 547, 3406, 585, 1913, 609, 1880, 5022, 269, 1411, 666, 946, 713, 1907, 547, 1265, 1913, 602, 2270, 1978, 5022, 269, 901, 1907, 568, 1390, 547, 4194, 3444, 6919, 269, 3509, 1004, 899, 6061, 891, 2010, 540, 13410, 269, 901, 1826, 540, 3406, 2599, 1223, 5351, 873, 538, 4466, 1913, 602, 723, 1978, 5022, 563, 8794, 2262, 8638, 454, 2467, 616, 1082, 4128, 2262, 8638, 585, 476, 276, 5022, 666, 581, 3730, 269, 1358, 666, 948, 596, 547, 5431, 1913, 602, 2270, 1082, 24008, 267, 899, 269, 6478, 8638, 666, 581, 5363, 547, 16540, 2009, 2262, 10659, 269, 898, 568, 2629, 547, 1832, 538, 2247, 602, 2262, 8638, 1810, 1406, 723, 547, 581, 9904, 673, 563, 17504, 8638, 609, 2947, 4484, 1913, 616, 513, 1434, 1505, 585, 1453, 547, 4487, 1007, 1913, 269, 5753, 666, 1404, 2262, 3756, 610, 1256, 4194, 2262, 13410, 602, 948, 596, 4487, 1007, 1913, 269, 1358, 786, 2648, 1565, 1007, 1913, 543, 5355, 741, 6863, 269, 1403, 596, 2461, 513, 2385, 267, 2947, 4484, 1913, 585, 1453, 616, 849, 513, 1187, 1505, 547, 4001, 707, 3214, 741, 2296, 1893, 563, 17504, 548, 568, 513, 2442, 3014, 950, 1818, 2262, 8638, 269, 6478, 548, 2636, 3755, 547, 3533, 1118, 7058, 525, 540, 2947, 5022, 538, 607, 2370, 607, 3670, 8942, 269, 6884, 267, 596, 3580, 581, 2451, 609, 1100, 10881, 610, 10372, 547, 948, 596, 7058, 621, 269, 1677, 948, 596, 4137, 856, 1018, 2262, 596, 2461, 3168, 585, 1411, 1223, 1118, 946, 540, 606, 9904, 673, 1592, 540, 1913, 563, 23804, 7368, 5022, 538, 2947, 268, 12072, 1913, 568, 606, 5140, 1505, 540, 1565, 519, 1913, 269, 2422, 519, 5409, 31904, 1657, 547, 3406, 585, 1022, 2947, 268, 12072, 2262, 609, 7368, 5022, 269, 1452, 1913, 616, 1419, 5532, 538, 8424, 269, 3958, 267, 621, 568, 9425, 2653, 547, 2697, 519, 4484, 590, 865, 596, 666, 4749, 1294, 513, 5595, 590, 693, 519, 4098, 540, 513, 2262, 609, 2947, 5022, 610, 693, 922, 1439, 269, 634, 4484, 570, 568, 2147, 1317, 621, 568, 1336, 10876, 1369, 513, 2262, 609, 2947, 5022, 563, 17504, 548, 8638, 11807, 1913, 269, 634, 1592, 3568, 1913, 602, 616, 519, 2262, 540, 519, 1554, 607, 1134, 607, 10881, 3823, 24008, 602, 616, 1031, 538, 824, 1913, 269, 901, 786, 1450, 596, 547, 7522, 1524, 707, 3681, 676, 3168, 585, 1913, 602, 723, 2147, 24008, 267, 610, 1913, 609, 10956, 5022, 269, 1717, 267, 581, 2386, 547, 2057, 1913, 609, 8966, 29745, 610, 24008, 602, 616, 7368, 563, 288, 1505, 547, 1265, 7368, 5022, 538, 2947, 2262, 2453, 568, 547, 4019, 513, 2241, 18176, 1062, 269, 634, 4908, 3328, 540, 1169, 4484, 568, 1287, 5258, 676, 519, 1297, 538, 1142, 2262, 547, 3313, 519, 1297, 602, 28197, 269, 769, 824, 1913, 267, 519, 2362, 6060, 6920, 602, 513, 4484, 568, 811, 2693, 547, 581, 1336, 538, 513, 2262, 609, 2947, 5022, 269, 0, 1432, 568, 22469, 667, 984, 684, 14269, 888, 763, 667, 984, 684, 14269, 941, 835, 540, 519, 22469, 11031, 2713, 538, 519, 3703, 1772, 956, 1991, 547, 519, 4936, 12289, 540, 6628, 269, 1703, 616, 5722, 1634, 8100, 547, 519, 14316, 538, 4936, 12583, 543, 1202, 18587, 269, 634, 8545, 851, 540, 519, 2012, 7654, 24283, 689, 645, 2317, 267, 513, 7484, 610, 6077, 563, 1432, 568, 513, 10116, 588, 831, 888, 763, 10116, 588, 831, 540, 3751, 595, 684, 984, 601, 514, 11635, 6520, 588, 831, 11777, 609, 10116, 588, 831, 585, 2450, 6476, 269, 1284, 2161, 2048, 326, 1245, 685, 11113, 267, 855, 538, 1249, 789, 2461, 2731, 513, 3575, 540, 7601, 267, 4154, 543, 8988, 267, 609, 1082, 5627, 1447, 982, 476, 2004, 260, 4154, 269, 1411, 666, 2995, 689, 3168, 693, 519, 11113, 799, 723, 513, 2362, 6871, 540, 8988, 1813, 547, 519, 512, 7568, 880, 6693, 1432, 568, 513, 4154, 588, 831, 888, 20112, 6465, 619, 616, 519, 14167, 11777, 1826, 540, 519, 22469, 2528, 267, 543, 1101, 7902, 538, 6628, 1472, 476, 5611, 645, 5861, 269, 1358, 616, 2356, 1500, 689, 513, 3575, 540, 8407, 267, 15866, 4154, 630, 5976, 8988, 543, 7601, 264, 543, 9260, 593, 3328, 1063, 2947, 547, 5722, 10101, 563, 1692, 1454, 568, 513, 4154, 588, 831, 4502, 888, 2467, 849, 11478, 513, 968, 326, 1245, 588, 831, 5608, 855, 621, 729, 1152, 20511, 539, 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 ]
[ 6241, 1070, 609, 513, 476, 4817, 260, 6015, 8884, 540, 630, 274, 269, 6795, 267, 476, 279, 269, 1428, 264, 630, 1348, 689, 519, 454, 340, 1440, 9587, 1040, 4595, 713, 6015, 8884, 1281, 711, 1331, 4642, 267, 649, 666, 9959, 602, 519, 3017, 1063, 891, 1079, 2516, 568, 3648, 1114, 269, 1635, 3168, 693, 519, 454, 335, 7755, 6241, 267, 649, 666, 1294, 602, 519, 1422, 263, 335, 315, 9984, 7407, 568, 2673, 547, 476, 271, 630, 24392, 519, 3977, 3081, 476, 271, 267, 513, 1422, 263, 335, 315, 9984, 7407, 568, 2760, 5963, 3160, 547, 4010, 476, 271, 1070, 3056, 547, 519, 1482, 3932, 563, 8450, 952, 596, 666, 4612, 519, 2164, 540, 519, 16198, 585, 22918, 5622, 268, 3849, 601, 773, 543, 22918, 5622, 16644, 13318, 1905, 912, 268, 1703, 2963, 540, 513, 19250, 1713, 3017, 538, 1611, 1166, 23124, 3259, 1063, 519, 22918, 5622, 543, 1520, 601, 773, 2249, 563, 268, 1703, 2963, 540, 513, 19250, 1713, 3017, 538, 1611, 1166, 23124, 3259, 1063, 519, 22918, 5622, 543, 932, 13318, 1905, 2249, 563, 7712, 1312, 1422, 263, 335, 315, 9984, 11161, 616, 5111, 476, 271, 630, 5408, 454, 335, 7755, 6241, 1070, 972, 568, 513, 19250, 1713, 3017, 1063, 782, 8424, 540, 2249, 269, 1284, 666, 849, 1294, 602, 9444, 6015, 8884, 2882, 476, 271, 269, 0, 26872, 19881, 25594, 19314, 332, 1276, 632, 915, 539, 267, 5526, 1354, 1864, 269, 634, 6264, 694, 793, 1640, 3340, 513, 27803, 267, 543, 23297, 835, 5128, 282, 543, 621, 729, 713, 281, 602, 17939, 1092, 328, 1058, 581, 4174, 5529, 21736, 267, 543, 1305, 607, 513, 1665, 585, 1010, 818, 7129, 547, 9496, 693, 282, 543, 952, 519, 21985, 1705, 711, 533, 15127, 1010, 17145, 267, 646, 1131, 1378, 1864, 547, 581, 519, 11619, 5362, 269, 17939, 1092, 328, 1185, 711, 5132, 2614, 547, 7703, 909, 896, 865, 1390, 513, 4693, 269, 634, 6264, 694, 793, 1640, 1577, 1864, 917, 602, 646, 1131, 8521, 609, 791, 1446, 1864, 267, 543, 602, 519, 7196, 729, 5423, 585, 1864, 267, 8259, 646, 1131, 2490, 12395, 269, 16270, 799, 646, 3331, 356, 976, 5034, 547, 2490, 10067, 2210, 534, 267, 547, 519, 1390, 10539, 540, 519, 7642, 269, 1656, 2943, 930, 540, 519, 7642, 941, 865, 642, 664, 607, 547, 14751, 602, 621, 729, 711, 17939, 1092, 328, 5128, 267, 855, 1010, 14692, 267, 602, 2024, 539, 519, 4984, 267, 543, 729, 2938, 538, 519, 4356, 540, 513, 12395, 281, 865, 1390, 729, 741, 6188, 514, 2329, 543, 1102, 23474, 282, 607, 952, 621, 941, 513, 3364, 7543, 547, 18609, 891, 1642, 24231, 543, 1102, 520, 18050, 530, 4958, 2583, 563, 1892, 2991, 782, 713, 267, 1896, 540, 519, 7642, 4797, 547, 946, 519, 3029, 267, 538, 741, 1857, 10847, 267, 11311, 676, 713, 10067, 2210, 534, 11619, 5362, 6902, 799, 8078, 539, 519, 9030, 7642, 540, 31862, 547, 6494, 547, 519, 31263, 4084, 540, 590, 3240, 337, 3534, 267, 547, 17246, 573, 713, 2259, 269, 4438, 891, 1919, 267, 519, 7642, 267, 3079, 540, 2247, 532, 741, 4123, 543, 6808, 267, 4904, 741, 5022, 609, 3377, 540, 17939, 1092, 328, 741, 11619, 5362, 267, 543, 1010, 8748, 1568, 269, 1358, 4080, 267, 602, 950, 519, 6264, 694, 793, 1640, 2366, 547, 1491, 1864, 267, 646, 3361, 782, 519, 3190, 12310, 602, 941, 2366, 267, 547, 5884, 282, 543, 602, 950, 824, 23891, 714, 2456, 941, 2366, 267, 789, 782, 8593, 4666, 676, 513, 2262, 540, 1010, 5023, 282, 543, 1373, 16761, 547, 798, 621, 267, 602, 646, 3361, 873, 547, 2847, 633, 1586, 269, 1358, 3773, 267, 602, 1498, 519, 7890, 1141, 17939, 1092, 328, 2482, 729, 3046, 1042, 543, 3728, 2989, 609, 2178, 4401, 25437, 267, 2943, 646, 729, 2938, 547, 3802, 998, 519, 10754, 609, 513, 3875, 5721, 281, 602, 519, 695, 871, 956, 799, 941, 2390, 1010, 8405, 543, 3952, 1705, 711, 1152, 2887, 1055, 267, 855, 941, 5828, 883, 4154, 267, 609, 799, 17939, 1092, 328, 11815, 1881, 1010, 13794, 269, 16270, 519, 21239, 540, 891, 1919, 519, 7642, 540, 7977, 2366, 1850, 919, 547, 590, 3240, 337, 3534, 267, 547, 22679, 790, 883, 519, 5168, 540, 891, 6927, 269, 1879, 519, 1850, 919, 8452, 693, 590, 3240, 337, 3534, 267, 789, 4862, 540, 519, 3377, 602, 17939, 1092, 328, 729, 5828, 12395, 267, 547, 741, 1360, 1390, 10539, 2433, 855, 2469, 547, 3643, 519, 7015, 540, 17939, 1092, 328, 267, 646, 14365, 10696, 547, 22321, 873, 602, 17939, 1092, 328, 729, 1869, 519, 3020, 11619, 5362, 6902, 602, 621, 729, 711, 17939, 1092, 328, 602, 4682, 827, 538, 519, 4356, 540, 513, 269, 12395, 267, 855, 1010, 21425, 610, 6891, 262, 282, 602, 1010, 1560, 729, 3144, 454, 20041, 13140, 267, 543, 1058, 581, 2366, 1524, 1586, 950, 2696, 1058, 1589, 621, 513, 3514, 4005, 269, 1261, 3773, 602, 26637, 267, 1010, 2062, 14725, 1676, 267, 945, 1185, 530, 3754, 1082, 28986, 267, 1131, 4166, 581, 693, 590, 3240, 337, 3534, 282, 602, 646, 1131, 7866, 6456, 1919, 547, 873, 267, 543, 6166, 873, 269, 1809, 713, 18379, 553, 729, 711, 11124, 547, 2097, 883, 590, 3240, 337, 3534, 6902, 543, 1498, 519, 1850, 919, 4718, 1864, 11992, 267, 789, 4607, 1100, 9547, 689, 1864, 693, 782, 563, 6440, 1703, 7902, 1776, 791, 739, 528, 538, 519, 1032, 476, 12739, 273, 269, 835, 15887, 6798, 631, 867, 1815, 2967, 267, 513, 4035, 540, 5125, 267, 513, 812, 4583, 1851, 1010, 2197, 5443, 585, 1010, 1565, 267, 543, 28191, 699, 2186, 540, 1272, 269, 1261, 729, 849, 1454, 524, 3072, 909, 585, 1010, 16322, 2886, 267, 799, 646, 579, 1777, 1229, 267, 827, 2947, 1296, 1354, 267, 693, 26285, 826, 543, 824, 4025, 269, 1261, 729, 513, 1360, 8325, 1065, 549, 591, 540, 13030, 267, 543, 729, 585, 602, 2601, 4122, 1572, 631, 5255, 11672, 267, 1775, 269, 552, 269, 519, 3115, 549, 591, 269, 1261, 729, 865, 642, 664, 607, 547, 2024, 5128, 547, 581, 519, 11619, 5362, 282, 543, 711, 1152, 547, 2154, 519, 7642, 547, 2892, 1393, 1864, 607, 971, 267, 855, 2390, 519, 2339, 547, 740, 648, 1864, 269, 634, 7969, 7642, 5795, 1864, 5491, 267, 543, 865, 1705, 1082, 540, 519, 7642, 540, 5125, 849, 267, 627, 2416, 646, 3357, 856, 540, 7977, 269, 1284, 616, 5143, 602, 646, 729, 1522, 1176, 1309, 5962, 538, 7977, 267, 543, 4607, 585, 519, 11619, 5362, 282, 1498, 519, 7642, 540, 602, 1747, 267, 1310, 789, 4718, 741, 5470, 267, 1705, 711, 1416, 547, 1378, 1864, 269, 589, 1978, 4035, 267, 602, 676, 1931, 540, 519, 7642, 1572, 1864, 883, 7977, 267, 6645, 721, 267, 602, 2390, 3221, 532, 609, 1864, 267, 646, 1336, 1864, 547, 581, 606, 538, 2559, 614, 267, 543, 1360, 25064, 282, 602, 646, 972, 1575, 517, 19230, 519, 7642, 711, 547, 581, 269, 9114, 557, 1864, 281, 2390, 799, 519, 3841, 592, 748, 7642, 941, 865, 679, 571, 3022, 602, 789, 5701, 741, 6895, 1360, 17351, 569, 267, 543, 25323, 1864, 689, 519, 1747, 540, 1010, 705, 1712, 269, 1358, 609, 531, 12219, 1864, 1360, 16094, 267, 952, 646, 546, 32231, 3717, 9409, 1022, 811, 540, 741, 11619, 5362, 2433, 602, 713, 4035, 11173, 547, 9011, 720, 713, 791, 739, 528, 267, 519, 7969, 7642, 941, 865, 679, 571, 3022, 602, 789, 14365, 10696, 547, 5641, 1864, 856, 540, 519, 1747, 1141, 646, 729, 12306, 267, 543, 10294, 602, 627, 657, 334, 1197, 1058, 798, 1864, 3765, 27815, 267, 610, 7703, 7301, 7198, 1996, 713, 1268, 267, 945, 1219, 3139, 741, 11619, 5362, 267, 1058, 581, 22644, 539, 16203, 1652, 9538, 918, 1342, 518, 563, 13825, 2335, 525, 513, 30766, 5206, 513, 5788, 2480, 1117, 5362, 2742, 632, 7225, 19508, 28262, 28342, 334, 5336, 612, 328, 529, 9538, 21674, 918, 1342, 518, 5701, 519, 1482, 1641, 538, 1010, 5788, 23227, 566, 540, 519, 11619, 5362, 10086, 543, 1500, 946, 540, 713, 2480, 1117, 5362, 2742, 6902, 262, 543, 594, 723, 22666, 689, 873, 1312, 269, 918, 1342, 518, 781, 1433, 3568, 1454, 3730, 2144, 644, 819, 9447, 538, 513, 1793, 8576, 569, 543, 5418, 2041, 1014, 2511, 267, 607, 949, 581, 2938, 538, 713, 884, 454, 322, 11948, 269, 1546, 5487, 15867, 1460, 267, 538, 1010, 910, 4039, 566, 540, 519, 744, 628, 2674, 7276, 10086, 554, 987, 849, 2016, 721, 606, 15792, 2272, 267, 543, 1082, 8049, 543, 19278, 1880, 885, 540, 17939, 1092, 328, 1530, 12858, 267, 945, 267, 950, 646, 1185, 19980, 520, 1242, 267, 840, 3737, 693, 31862, 267, 543, 16668, 936, 1082, 7642, 547, 2024, 15011, 25428, 1143, 269, 2311, 2063, 646, 729, 8149, 547, 7890, 585, 519, 1964, 540, 1010, 2395, 267, 543, 5747, 589, 269, 667, 269, 476, 15757, 280, 269, 5487, 15867, 1460, 4718, 1864, 267, 543, 4862, 1864, 840, 778, 563, 4415, 15887, 6798, 631, 867, 1815, 2967, 1439, 996, 519, 1686, 540, 519, 7301, 31050, 338, 267, 543, 519, 7642, 630, 296, 1589, 264, 723, 1185, 9039, 2094, 269, 898, 949, 3100, 9490, 602, 789, 1058, 723, 15653, 2441, 267, 945, 5795, 873, 865, 1082, 15997, 540, 1010, 5692, 267, 543, 2943, 1058, 1246, 1169, 791, 739, 528, 945, 5910, 2105, 547, 581, 519, 11619, 5362, 267, 1510, 5356, 1022, 6190, 610, 1256, 26363, 2963, 540, 621, 269, 634, 2601, 568, 10750, 2433, 3776, 14205, 21831, 267, 676, 711, 4259, 909, 513, 13796, 10806, 267, 546, 14414, 782, 741, 1158, 569, 5784, 693, 2899, 282, 855, 519, 824, 3409, 619, 540, 519, 2140, 540, 31050, 3459, 609, 14767, 540, 12419, 873, 689, 741, 1412, 14763, 267, 543, 19620, 547, 873, 741, 2197, 543, 741, 4503, 23118, 563, 4131, 721, 1631, 979, 1394, 547, 519, 9552, 540, 13243, 676, 26751, 335, 22057, 543, 570, 7978, 269, 634, 7642, 267, 945, 23012, 713, 26718, 267, 7283, 538, 513, 4057, 2783, 538, 1585, 2694, 540, 519, 4936, 10504, 15017, 296, 529, 1313, 655, 267, 26982, 538, 7225, 19508, 320, 1121, 753, 518, 656, 267, 570, 7978, 6650, 822, 527, 2588, 5991, 1638, 639, 521, 13741, 23628, 632, 1550, 1186, 1425, 15756, 282, 14275, 639, 513, 14108, 1092, 15273, 328, 699, 694, 1552, 699, 339, 267, 844, 655, 611, 7116, 636, 608, 8778, 520, 340, 13669, 13799, 333, 644, 4815, 23729, 8759, 5587, 636, 1609, 269, 808, 269, 513, 30766, 563, 24078, 2479, 1022, 3364, 865, 21494, 7790, 543, 945, 855, 513, 13669, 31053, 626, 267, 610, 513, 16410, 4472, 626, 267, 1223, 1491, 621, 883, 1010, 25064, 2212, 547, 32230, 602, 570, 7978, 1131, 723, 3370, 971, 513, 31885, 267, 547, 20575, 519, 4057, 7642, 15017, 307, 5166, 269, 1520, 601, 874, 269, 642, 269, 476, 274, 563, 3519, 1356, 940, 519, 1533, 540, 519, 7642, 689, 519, 9552, 540, 13243, 547, 519, 1439, 540, 519, 11359, 2540, 267, 741, 3235, 27036, 20292, 2229, 267, 741, 12621, 267, 741, 5657, 31053, 267, 610, 632, 17458, 4680, 267, 741, 14558, 1231, 267, 7189, 267, 533, 9332, 686, 1105, 338, 267, 543, 19980, 956, 267, 972, 616, 930, 8049, 24616, 538, 3212, 345, 1258, 267, 16470, 632, 561, 262, 12901, 19891, 2946, 964, 570, 2114, 25692, 1607, 1434, 5991, 25733, 17169, 729, 865, 2484, 689, 30201, 5024, 267, 602, 646, 8486, 1221, 543, 6870, 873, 282, 543, 950, 646, 729, 693, 4165, 1470, 577, 267, 543, 519, 1004, 972, 7118, 652, 569, 1104, 25293, 1864, 547, 536, 4314, 519, 7642, 689, 602, 2749, 267, 646, 13761, 873, 267, 543, 1767, 267, 7316, 1131, 596, 723, 891, 29043, 2367, 979, 286, 789, 723, 1631, 1100, 2197, 543, 2749, 540, 741, 1378, 547, 4309, 873, 269, 9478, 639, 267, 645, 269, 808, 269, 642, 4512, 269, 476, 276, 563, 291, 558, 23790, 16309, 570, 7978, 267, 543, 729, 513, 16970, 543, 4502, 1652, 19036, 267, 945, 31345, 782, 1010, 5396, 267, 855, 3226, 519, 7642, 269, 1261, 13684, 5230, 5513, 2373, 2390, 873, 267, 799, 789, 941, 2192, 2111, 547, 2628, 267, 543, 3169, 539, 873, 609, 1390, 6551, 712, 543, 1202, 565, 775, 563, 5475, 713, 267, 538, 519, 942, 540, 3004, 13568, 267, 519, 7642, 8057, 649, 776, 540, 741, 21341, 267, 543, 540, 519, 4936, 586, 5803, 267, 543, 6659, 513, 18326, 538, 8644, 5984, 267, 3331, 484, 5118, 267, 30259, 267, 543, 27859, 282, 789, 27361, 782, 12204, 540, 538, 1172, 885, 543, 16970, 2906, 267, 543, 11739, 342, 606 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 271, 338, 17983, 607, 851, 540, 834, 17269, 4953, 23802, 1315, 1977, 1315, 3979, 1977, 1299, 4563, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 12861, 513, 20907, 6363, 7037, 7982, 12881, 16819, 24872, 692, 8702, 547, 938, 1187, 543, 3860, 1576, 1770, 1141, 649, 2811, 2469, 547, 1451, 875, 547, 1118, 513, 17681, 6177, 8602, 585, 707, 18147, 1210, 10097, 2326, 689, 667, 20683, 10326, 256, 589, 6177, 8602, 568, 513, 1390, 1259, 547, 16436, 4190, 5017, 883, 707, 4677, 1247, 4946, 19259, 543, 1915, 547, 707, 9205, 2230, 269, 9578, 267, 2679, 835, 3054, 2636, 596, 547, 21160, 621, 4010, 519, 1259, 596, 899, 256, 2913, 781, 4685, 883, 519, 1158, 540, 18789, 3785, 543, 2263, 519, 7772, 540, 13167, 1945, 1312, 6198, 543, 10694, 780, 4089, 476, 272, 281, 1548, 568, 513, 16819, 24872, 543, 4208, 9701, 1284, 5269, 2290, 2496, 288, 6177, 8602, 568, 3274, 513, 13719, 7535, 610, 16935, 2966, 4481, 585, 5017, 547, 536, 7752, 543, 4235, 1216, 269, 1635, 3246, 513, 2922, 543, 18136, 1747, 585, 873, 547, 2973, 2933, 543, 1514, 1125, 267, 596, 3513, 5000, 811, 5017, 547, 3643, 707, 13452, 543, 3142, 513, 3787, 540, 2470, 6251, 547, 1753, 269, 898, 849, 5713, 607, 513, 8748, 4316, 585, 596, 543, 707, 1920, 547, 7747, 543, 1921, 609, 2199, 7320, 780, 4089, 476, 273, 281, 20283, 532, 32285, 10049, 692, 2690, 713, 1788, 267, 649, 4363, 9683, 667, 20683, 10326, 547, 1265, 782, 519, 2556, 7727, 693, 10257, 5777, 269, 1411, 3513, 1152, 991, 513, 19625, 540, 3688, 971, 607, 1384, 265, 589, 8708, 630, 7945, 607, 513, 1804, 12826, 267, 2030, 10487, 1356, 267, 610, 5068, 4859, 10822, 994, 265, 5463, 20753, 10007, 610, 27371, 454, 265, 4826, 16513, 23287, 630, 3697, 513, 3905, 15441, 7784, 543, 15441, 16853, 994, 265, 8838, 1308, 30996, 880, 906, 630, 7945, 607, 4837, 21889, 267, 10775, 19490, 267, 610, 5841, 5810, 2020, 3528, 7446, 891, 6578, 7888, 3681, 267, 596, 4465, 1405, 723, 547, 5855, 827, 7836, 1932, 1454, 2724, 543, 1869, 1439, 909, 609, 513, 9735, 8737, 1587, 780, 4089, 476, 274, 281, 8490, 2659, 13574, 16819, 24872, 5153, 676, 5153, 692, 3721, 476, 272, 281, 29922, 519, 17828, 29597, 518, 454, 16521, 513, 19756, 267, 4365, 15033, 8708, 602, 814, 2614, 3178, 585, 519, 5017, 547, 20354, 536, 7752, 538, 269, 27814, 267, 2832, 585, 513, 5021, 3178, 540, 476, 273, 6279, 630, 276, 4699, 1040, 1403, 707, 6074, 8708, 568, 4514, 267, 946, 930, 540, 519, 16560, 10007, 547, 6445, 538, 519, 5377, 543, 2569, 922, 3178, 780, 3721, 476, 273, 281, 27759, 519, 12476, 454, 27662, 707, 5697, 8708, 8499, 1354, 4358, 1022, 4070, 960, 269, 4495, 3819, 267, 6582, 519, 16560, 10007, 3330, 267, 4180, 789, 3382, 1034, 540, 519, 3490, 1858, 269, 901, 1900, 2488, 20086, 585, 519, 5017, 950, 7555, 593, 519, 2627, 780, 3721, 476, 274, 281, 16792, 1520, 1127, 633, 454, 22512, 2685, 4019, 28890, 23287, 1472, 519, 26079, 540, 707, 8708, 267, 1140, 2286, 18593, 30996, 880, 906, 952, 5551, 269, 14190, 15792, 942, 585, 519, 23287, 547, 1305, 2687, 547, 10672, 5528, 780, 3721, 476, 275, 281, 17553, 5455, 2659, 1715, 16819, 24872, 454, 8340, 513, 6366, 543, 7123, 4087, 538, 707, 18147, 547, 2990, 707, 1007, 6177, 8602, 269, 14780, 1047, 621, 5594, 1055, 519, 2666, 1210, 20398, 610, 17328, 951, 547, 2061, 18151, 9960, 18284, 269, 19130, 519, 8602, 609, 4195, 1216, 5781, 543, 2972, 8384, 1585, 5017, 11981, 741, 24253, 838, 320, 1554, 2439, 1103, 3932, 267, 1739, 891, 2241, 4808, 786, 948, 596, 1711, 513, 10875, 2943, 1942, 15807, 6177, 8602, 602, 10597, 707, 18147, 543, 6770, 7772, 547, 1312, 596, 543, 2199, 3552, 5017, 269, 8414, 13167, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 5970, 596, 2479, 4941, 547, 3986, 707, 18147, 609, 513, 23406, 6177, 8602, 855, 4769, 1406, 1616, 547, 2736, 519, 4871, 286, 6733, 1100, 2417, 982, 519, 18789, 16819, 24872, 667, 20683, 10326, 1788, 256, 901, 2376, 786, 3391, 596, 998, 519, 2241, 543, 6578, 7888, 3268, 547, 1711, 707, 1360, 1378, 6177, 8602, 1210, 10097, 2326, 689, 519, 667, 20683, 10326, 269, 2060, 1175, 513, 1906, 2653, 3562, 1922, 785, 3688, 543, 513, 5905, 540, 5876, 267, 596, 3580, 723, 513, 4190, 6177, 8602, 602, 786, 4482, 905, 9312, 2828, 543, 1039, 513, 17175, 5905, 547, 707, 9205, 2230, 269, 1924, 267, 1577, 779, 7914, 1318, 538, 543, 1205, 3323, 593, 713, 3078, 20089, 2336, 3963, 7994, 667, 20683, 10326, 585, 2659, 18789, 16819, 24872, 454, 288, 742, 867, 1464, 540, 2326, 454, 2691, 621, 2501, 547, 2870, 707, 1378, 6177, 8602, 267, 26622, 568, 606, 1271, 3815, 547, 2015, 269, 667, 20683, 10326, 3091, 513, 2647, 2039, 540, 2326, 693, 11212, 1970, 5777, 267, 1818, 621, 519, 3501, 3903, 585, 18789, 12439, 593, 513, 6578, 269, 3245, 11149, 547, 16560, 4773, 267, 3388, 596, 991, 547, 1628, 707, 6177, 8602, 666, 581, 1336, 693, 667, 20683, 10326, 1510, 8840, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 20821, 519, 20551, 281, 589, 667, 5744, 2622, 540, 27065, 692, 8702, 267, 5664, 3427, 4841, 256, 5620, 596, 2479, 9289, 1018, 621, 3217, 547, 1831, 513, 3811, 7376, 286, 769, 713, 1576, 1770, 267, 649, 786, 2263, 519, 1158, 540, 5876, 998, 519, 2729, 543, 1568, 540, 1585, 5159, 689, 1114, 10080, 269, 1452, 5159, 2097, 689, 3309, 2950, 267, 1519, 1004, 540, 2681, 267, 2021, 267, 20404, 267, 543, 1346, 945, 2697, 607, 11806, 8656, 266, 269, 1358, 616, 24420, 23412, 267, 1225, 2209, 267, 19971, 267, 25287, 20802, 267, 32349, 267, 9886, 16234, 267, 6280, 12200, 267, 6575, 16984, 267, 12115, 619, 267, 7855, 267, 543, 23499, 5159, 269, 2913, 781, 1205, 3323, 2439, 25603, 1520, 514, 22255, 25301, 267, 513, 27752, 543, 9524, 518, 454, 14343, 15365, 3080, 971, 7376, 568, 1520, 514, 22255, 25301, 267, 513, 5856, 543, 1685, 518, 945, 3096, 741, 1148, 547, 2995, 2984, 827, 834, 32221, 619, 1701, 3767, 267, 1810, 1405, 1577, 602, 2262, 18174, 596, 256, 1879, 1520, 514, 3081, 834, 32221, 619, 2437, 789, 5749, 1405, 6158, 827, 1004, 945, 723, 4503, 1945, 269, 5502, 267, 789, 1611, 1004, 945, 1522, 3100, 8723, 593, 519, 2627, 855, 723, 6909, 2833, 1369, 873, 269, 1411, 917, 267, 899, 875, 1169, 835, 540, 721, 7959, 3006, 2439, 5331, 1373, 2111, 547, 7001, 782, 1346, 4606, 543, 8090, 538, 707, 1272, 543, 7432, 873, 883, 513, 1650, 610, 2773, 602, 1866, 666, 2972, 543, 9305, 547, 269, 2334, 781, 4010, 1018, 1520, 514, 1281, 256, 3414, 741, 1913, 543, 12644, 267, 1520, 514, 8843, 519, 5898, 543, 6988, 540, 891, 865, 10777, 834, 32221, 619, 257, 609, 519, 1158, 780, 2162, 10289, 1520, 514, 781, 4518, 692, 4131, 781, 1491, 513, 6251, 1413, 693, 1141, 1520, 514, 8843, 741, 1148, 269, 2368, 4025, 267, 1572, 834, 1597, 1132, 2437, 3984, 2621, 1141, 5159, 666, 13686, 741, 15421, 269, 1280, 1383, 267, 1488, 338, 25429, 267, 667, 21779, 9255, 267, 543, 9177, 6997, 700, 2975, 616, 28503, 1141, 1520, 514, 814, 3838, 741, 12591, 543, 12644, 269, 5994, 6972, 883, 835, 540, 891, 5624, 543, 7487, 1520, 514, 781, 13144, 2097, 9800, 1318, 1354, 707, 4064, 256, 1215, 5863, 1131, 602, 581, 2496, 3719, 7227, 267, 972, 781, 811, 256, 1520, 514, 849, 15824, 538, 13039, 899, 7225, 5459, 17341, 5783, 543, 519, 11596, 899, 634, 918, 9627, 269, 2052, 596, 4952, 11504, 513, 2773, 538, 513, 5939, 610, 14364, 543, 4743, 6273, 676, 1520, 514, 781, 3532, 1913, 543, 9159, 4527, 286, 898, 1590, 581, 606, 20605, 1995, 2439, 2162, 16871, 3776, 23433, 12267, 692, 9961, 713, 1576, 1770, 267, 649, 786, 1451, 827, 1082, 5159, 899, 1520, 514, 945, 946, 741, 2189, 9739, 543, 5380, 547, 1711, 4190, 543, 6209, 1148, 269, 1635, 3695, 741, 15322, 267, 649, 4126, 596, 1745, 9415, 547, 9784, 707, 1378, 2984, 543, 2671, 873, 609, 519, 1158, 267, 1932, 269, 5808, 6487, 286, 9320, 835, 1554, 267, 649, 3513, 1294, 707, 2012, 7396, 1851, 519, 1390, 5159, 540, 938, 942, 2439, 1103, 519, 1985, 3184, 267, 649, 786, 4685, 4514, 883, 519, 3860, 1184, 267, 1565, 875, 5159, 2721, 6667, 689, 741, 2123, 2833, 543, 2490, 873, 883, 8903, 2984, 543, 12644, 269, 13773, 22934, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 4932, 2207, 294, 2894, 312, 290, 620, 30282, 1765, 2865, 540, 873, 1004, 540, 2681, 267, 2021, 267, 20404, 267, 543, 11806, 8656, 266, 11570, 24568, 2850, 8366, 20421, 24420, 23412, 267, 1225, 2209, 267, 19971, 267, 25287, 20802, 267, 32349, 267, 9886, 16234, 267, 6280, 12200, 267, 6575, 16984, 267, 12115, 619, 267, 7855, 267, 543, 23499, 5159, 269, 3509, 3136, 547, 12840, 609, 1142, 824, 543, 609, 12200, 1279, 3564, 519, 1982, 9789, 344, 4076, 4646, 2445, 1161, 267, 2813, 7376, 4036, 4293, 267, 9859, 1142, 824, 538, 4249, 267, 1500, 2575, 1927, 267, 6026, 1927, 267, 543, 32737, 2938, 538, 741, 16499, 517, 10118, 1765, 2041, 523, 4250, 1652, 1927, 269, 12989, 616, 930, 540, 519, 11570, 538, 713, 2648, 1922, 3241, 539, 3060, 540, 476, 4968, 266, 1004, 563, 3849, 514, 22255, 25301, 267, 476, 1708, 274, 1520, 514, 22255, 25301, 630, 16269, 14121, 1335, 264, 568, 513, 5856, 543, 1685, 518, 269, 1520, 514, 2306, 1148, 827, 17485, 619, 267, 519, 5686, 540, 1004, 945, 666, 1406, 1256, 7485, 621, 1927, 547, 1118, 2933, 1413, 3579, 593, 17749, 267, 855, 4171, 3178, 540, 1995, 1223, 6445, 513, 2929, 20555, 543, 28868, 269, 4256, 960, 814, 1044, 4843, 9706, 22004, 693, 1488, 338, 25429, 267, 667, 21779, 9255, 267, 9177, 6997, 700, 2975, 7225, 5459, 17341, 5783, 267, 634, 918, 9627, 267, 634, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 280, 281, 9549, 7010, 538, 22414, 15348, 281, 634, 8865, 540, 5403, 268, 18183, 12787, 16850, 692, 296, 269, 4985, 692, 1103, 519, 21987, 540, 4655, 267, 519, 1184, 540, 31811, 513, 4182, 781, 2797, 5238, 666, 581, 1312, 1950, 543, 4101, 269, 901, 3184, 786, 5490, 883, 519, 14960, 540, 5428, 1949, 1369, 13354, 6214, 267, 1210, 2022, 18101, 12787, 16850, 607, 513, 2013, 1353, 269, 1284, 786, 4983, 875, 1585, 2188, 723, 6766, 519, 1646, 540, 5428, 1949, 538, 16850, 267, 543, 1865, 1761, 2104, 7653, 269, 1677, 2253, 267, 1577, 721, 5581, 930, 1883, 2474, 780, 288, 2797, 5428, 568, 513, 1895, 540, 2043, 945, 2097, 1927, 547, 16311, 12836, 543, 3180, 1379, 538, 2229, 269, 1358, 616, 1419, 1759, 593, 3838, 4690, 267, 19237, 267, 610, 3609, 3853, 269, 9549, 1949, 267, 1287, 267, 3277, 547, 519, 1297, 543, 1826, 540, 6105, 602, 2291, 1369, 513, 1880 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 1100, 1991, 1702, 540, 519, 1641, 269, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 634, 29055, 2622, 540, 10281, 1886, 9582, 692, 7072, 454, 20756, 972, 256, 5620, 596, 2479, 2219, 827, 875, 3579, 621, 1131, 581, 547, 1332, 707, 1378, 5388, 693, 1753, 267, 1256, 952, 596, 1810, 1405, 723, 1022, 4677, 2230, 610, 3037, 2139, 286, 4270, 267, 609, 19558, 9582, 267, 596, 666, 798, 1175, 602, 256, 2913, 781, 4685, 883, 713, 9735, 1259, 540, 8105, 543, 1451, 1018, 2306, 621, 865, 2027, 780, 1432, 568, 10281, 1886, 9582, 888, 22134, 1886, 9582, 630, 29455, 834, 14683, 1673, 549, 327, 1790, 9582, 8442, 568, 513, 1826, 540, 2030, 14713, 602, 3085, 1405, 946, 3037, 269, 1411, 1522, 1589, 602, 4992, 7543, 1107, 1310, 782, 267, 2371, 2356, 2661, 538, 13897, 267, 1318, 286, 1809, 1934, 781, 1141, 1919, 1205, 4277, 281, 3079, 540, 3037, 267, 2371, 616, 6738, 538, 513, 8770, 23752, 1216, 3070, 269, 2334, 1797, 1100, 20857, 2838, 2439, 3963, 7994, 10281, 1886, 9582, 888, 5331, 1373, 2111, 547, 1711, 3501, 2175, 585, 707, 2371, 547, 21707, 1247, 849, 9494, 942, 543, 2200, 269, 2060, 19558, 9582, 267, 596, 666, 10502, 4383, 1142, 2030, 781, 2115, 676, 9013, 2188, 899, 2837, 267, 8654, 267, 543, 6484, 2157, 269, 1306, 513, 1267, 267, 2371, 1419, 1332, 5488, 982, 2757, 2409, 543, 6556, 811, 7031, 269, 1215, 5863, 568, 602, 2496, 17843, 9537, 540, 10281, 1886, 4577, 7010, 454, 3086, 602, 596, 917, 1946, 1004, 2648, 1210, 19558, 9582, 267, 1577, 781, 1491, 513, 1413, 693, 930, 2442, 1305, 5725, 1384, 272, 269, 654, 1157, 7010, 910, 1452, 2241, 1949, 7048, 593, 530, 6506, 547, 5838, 1216, 543, 5567, 547, 519, 5072, 269, 1358, 960, 1390, 585, 4130, 2371, 543, 14987, 269, 589, 1434, 1383, 1223, 581, 3395, 11922, 16280, 2336, 273, 269, 12213, 4826, 9177, 630, 291, 310, 290, 264, 910, 5994, 2348, 707, 2030, 5072, 17735, 2047, 538, 513, 8770, 11656, 1216, 13111, 269, 16319, 1187, 267, 26001, 286, 667, 310, 290, 1949, 1683, 6024, 5135, 3761, 998, 2011, 15450, 267, 5009, 4028, 2208, 269, 898, 781, 899, 4758, 707, 2371, 513, 838, 320, 1554, 1169, 2582, 1554, 2336, 274, 269, 715, 22021, 17912, 26435, 630, 301, 10499, 264, 910, 4635, 513, 13719, 6908, 540, 13576, 1216, 4904, 609, 1898, 5567, 267, 23088, 1949, 1450, 2371, 547, 10110, 3388, 789, 991, 607, 519, 5277, 8928, 2250, 741, 3597, 2497, 269, 6056, 540, 621, 607, 513, 2706, 335, 10062, 5757, 3246, 29454, 547, 922, 4478, 1272, 3029, 563, 275, 269, 661, 6277, 1299, 10046, 630, 14503, 797, 543, 667, 1778, 264, 7010, 910, 3807, 899, 29500, 3142, 1216, 1394, 543, 8521, 267, 891, 1949, 21237, 6360, 519, 3395, 1858, 609, 5567, 1354, 1951, 1456, 873, 2476, 269, 1635, 18110, 713, 1184, 267, 2371, 4309, 2834, 8023, 9979, 269, 5994, 2870, 6329, 540, 1967, 609, 707, 1360, 1378, 20538, 5836, 540, 16719, 2336, 276, 269, 17224, 641, 4577, 7010, 910, 1280, 1346, 945, 2972, 13777, 22618, 2035, 267, 7098, 641, 9582, 3217, 4099, 3942, 269, 12518, 10581, 3330, 6806, 11149, 1247, 3765, 1562, 10936, 16600, 1922, 710, 20256, 5627, 1898, 5567, 5196, 6534, 5072, 269, 13185, 827, 1164, 24289, 6683, 2439, 1103, 3932, 267, 19558, 9582, 3091, 721, 513, 2189, 4316, 547, 4497, 609, 2470, 538, 1007, 543, 6427, 633, 2081, 269, 3414, 1585, 2553, 543, 1949, 267, 649, 666, 6536, 8902, 2371, 543, 3152, 7693, 2504, 1510, 13461, 9003, 593, 7943, 610, 3037, 269, 5664, 30595, 267, 616, 596, 4712, 547, 7832, 593, 713, 6909, 3460, 543, 1831, 2413, 6377, 6705, 286, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 5970, 596, 2479, 9289, 952, 19558, 4577, 2371, 991, 7943, 547, 1332, 286, 901, 2243, 814, 27278, 1082, 12202, 12439, 945, 1616, 547, 2263, 4244, 2409, 540, 14713, 269, 769, 713, 2376, 267, 649, 786, 1865, 519, 2078, 1063, 19558, 4577, 2371, 543, 7943, 267, 17766, 1769, 593, 2436, 789, 5963, 2154, 713, 2067, 2707, 540, 1648, 610, 952, 972, 616, 824, 2081, 547, 2844, 741, 2208, 269, 1924, 267, 1577, 779, 2007, 883, 519, 4241, 1158, 540, 19558, 9582, 543, 1265, 856, 952, 7943, 568, 513, 13766, 585, 891, 2371, 547, 8853, 563, 8139, 10281, 1886, 4577, 19663, 7010, 454, 14240, 540, 10281, 1886, 4577, 7010, 454, 22134, 1886, 4577, 1949, 616, 513, 1505, 540, 3395, 2371, 1510, 3037, 269, 5502, 267, 2371, 616, 6738, 538, 513, 8770, 11656, 1216, 3070, 602, 2488, 782, 519, 2556, 6886, 543, 2609, 585, 741, 2208, 269, 901, 5499, 4480, 2636, 585, 5730, 1852, 936, 519, 2030, 779, 1604, 267, 3056, 547, 5488, 2208, 3928, 543, 2362, 11729, 563, 15650, 540, 10281, 1886, 4577, 7010, 454, 2467, 616, 1896, 2010, 540, 19558, 4577, 1949, 267, 552, 659, 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, 11831, 18289, 5811, 538, 14332, 1782, 910, 634, 3163, 19992, 17828, 532, 2659, 10794, 692, 2026, 6367, 6840, 267, 649, 4312, 782, 4810, 519, 26497, 540, 16089, 513, 3440, 1524, 519, 26738, 543, 8384, 621, 7455, 30780, 2509, 519, 20382, 269, 1809, 723, 596, 2479, 11074, 547, 2015, 519, 2257, 3297, 713, 30811, 5163, 286, 901, 3184, 12538, 2620, 883, 519, 4241, 7706, 540, 3440, 5163, 2079, 267, 3246, 596, 609, 3407, 4030, 602, 1223, 1491, 707, 3014, 547, 1007, 15627, 780, 4089, 476, 272, 281, 634, 17943, 540, 11831, 18289, 692, 2414, 1174, 3440, 5163, 2079, 267, 1577, 781, 1101, 2736, 1524, 922, 4909, 3334, 269, 2311, 922, 4295, 267, 3440, 5163, 4016, 547, 519, 2619, 513, 6367, 1782, 3440, 3217, 1310, 1373, 18202, 5196, 519, 26738, 269, 898, 3322, 1614, 3119, 11775, 281, 1236, 573, 267, 13622, 267, 543, 5066, 780, 20597, 573, 281, 901, 3355, 5123, 4386, 950, 519, 3440, 2306, 3346, 609, 519, 3282, 2275, 2642, 2627, 540, 519, 26738, 269, 9603, 547, 11508, 1063, 519, 3440, 543, 519, 26738, 267, 15452, 1648, 568, 11843, 883, 24364, 1648, 267, 4929, 519, 3440, 547, 3500, 1524, 1247, 849, 27510, 922, 2427, 1811, 3350, 610, 1412, 327, 809, 9538, 692, 295, 809, 281, 1306, 519, 3440, 5170, 2059, 519, 26738, 267, 519, 10047, 791, 14975, 1282, 519, 1236, 573, 3942, 5956, 547, 20441, 267, 3056, 547, 513, 1225, 1324, 18330, 1634, 607, 554, 8504, 269, 11790, 12018, 519, 4110, 540, 13622, 1331, 3432, 267, 2847, 2557, 630, 8527, 566, 829, 8792, 1070, 7852, 28550, 630, 1492, 5086, 693, 799, 519, 3440, 20061, 3448, 547, 519, 8880, 7077, 1070, 543, 7852, 10047, 630, 13512, 12371, 2962, 1472, 519, 7299, 7852, 6393, 305, 3326, 281, 7053, 267, 2899, 519, 5230, 3282, 4494, 555, 1231, 856, 683, 13145, 519, 8930, 16064, 267, 2799, 20086, 2164, 538, 513, 5912, 689, 13622, 547, 6986, 12902, 5163, 269, 4438, 713, 3803, 5123, 267, 8904, 4249, 513, 1713, 1909, 267, 17444, 519, 3440, 1524, 2072, 883, 519, 20382, 780, 4089, 476, 273, 281, 22718, 11831, 18289, 4578, 692, 22860, 4506, 3440, 5163, 1239, 3340, 6297, 8343, 543, 7664, 540, 1585, 14573, 9676, 676, 2413, 2029, 971, 607, 1164, 18286, 12514, 543, 8596, 11251, 1369, 11084, 2933, 269, 6206, 6724, 6027, 1331, 1384, 265, 17726, 281, 2725, 25979, 538, 5195, 829, 5662, 630, 332, 874, 1070, 3432, 9356, 519, 6991, 693, 799, 519, 3440, 3762, 519, 1688, 269, 13575, 6340, 267, 2362, 11250, 1226, 622, 547, 3152, 3845, 4988, 855, 949, 15093, 6111, 1813, 547, 4389, 1852, 563, 265, 4860, 15580, 281, 5890, 5962, 538, 26201, 829, 8792, 630, 14641, 300, 1070, 2847, 2557, 19752, 519, 1297, 540, 2053, 519, 3440, 30809, 827, 922, 7299, 7852, 1282, 835, 8792, 540, 2951, 942, 269, 14451, 2847, 3928, 3335, 1267, 538, 6793, 29945, 267, 5356, 8476, 8930, 4163, 1761, 23344, 5732, 693, 519, 13258, 540, 8856, 563, 265, 31196, 570, 2830, 1299, 15585, 566, 281, 1452, 2188, 4766, 519, 10066, 543, 18343, 4806, 540, 519, 3440, 6606, 269, 5637, 1404, 2565, 5107, 538, 8159, 13622, 10335, 543, 4287, 1275, 269, 1280, 3236, 267, 3677, 7852, 21266, 1206, 1419, 3132, 4505, 543, 5857, 704, 29945, 3379, 547, 4130, 3283, 267, 6466, 14733, 7852, 32186, 4043, 547, 21352, 519, 2949, 13622, 3337, 780, 3528, 6313, 891, 4632, 15217, 267, 19767, 666, 29742, 6209, 4030, 3823, 1367, 4730, 6163, 267, 3937, 7375, 267, 543, 2127, 8506, 6454, 780, 4089, 476, 274, 281, 30855, 5303, 585, 24046, 13437, 692, 293, 6136, 585, 721, 12439, 267, 6639, 7760, 3136, 11319, 519, 6302, 540, 1018, 781, 2009, 538, 2474, 540, 3440, 5163, 2079, 269, 4653, 781, 1533, 6361, 7308, 19603, 1949, 5512, 5730, 9477, 540, 1883, 2773, 10832, 267, 16779, 5716, 547, 5386, 2389, 2317, 741, 3756, 998, 2963, 2861, 11941, 269, 6201, 1331, 1384, 265, 11473, 5811, 12229, 281, 7981, 1242, 3301, 2636, 3755, 547, 2689, 3500, 2173, 10056, 22089, 7258, 6772, 904, 18995, 4143, 10252, 26517, 1239, 2798, 269, 1635, 3308, 1944, 519, 2078, 1063, 1560, 11707, 543, 4611, 3440, 5163, 267, 6367, 6840, 2744, 4514, 1620, 540, 4480, 11938, 3255, 563, 265, 12829, 645, 8712, 281, 2506, 5523, 4765, 9300, 2029, 6087, 12616, 6771, 540, 1483, 6066, 5955, 7282, 8095, 3928, 267, 10131, 7285, 267, 543, 824, 22317, 7194, 269, 20331, 609, 713, 1344, 267, 9845, 666, 4603, 609, 1114, 5305, 2994, 547, 2697, 1346, 27548, 6099, 4093, 780, 1103, 3932, 267, 13215, 3440, 5163, 2079, 4564, 513, 23773, 2943, 14785, 4161, 585, 1022, 3978, 6367, 2401, 269, 3414, 30190, 1353, 543, 3498, 540, 6932, 4066, 267, 649, 1930, 6000, 909, 547, 3078, 7399, 585, 17975, 938, 1983, 543, 6173, 908, 938, 18399, 540, 713, 15851, 7328, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 24281, 713, 1433, 267, 968, 27026, 16179, 22048, 13088, 281, 589, 18043, 6651, 2223, 649, 786, 2263, 519, 1158, 540, 22048, 543, 519, 1379, 540, 1895, 4444, 2645, 547, 3986, 707, 3896, 779, 15287, 543, 31213, 269, 9612, 5422, 26659, 630, 10345, 302, 264, 568, 513, 2629, 2460, 540, 2228, 6725, 267, 543, 1210, 14167, 22048, 2645, 666, 3648, 1764, 707, 3896, 779, 2773, 269, 7324, 519, 2442, 1895, 4444, 22048, 2645, 649, 786, 1865, 616, 6828, 4444, 694, 334, 12054, 337, 2313, 267, 20727, 4382, 267, 20787, 267, 5080, 2536, 22048, 267, 543, 811, 563, 6637, 476, 272, 281, 4985, 547, 22048, 454, 1103, 713, 3184, 267, 649, 786, 4685, 883, 519, 17950, 540, 9612, 5422, 26659, 269, 1284, 3580, 2491, 1018, 22048, 568, 267, 1946, 621, 568, 1898, 585, 2228, 4213, 267, 543, 875, 621, 5540, 3406, 2599, 31213, 269, 1284, 3580, 3382, 593, 22240, 543, 1055, 22240, 22048, 2553, 543, 6338, 519, 1523, 540, 1895, 9140, 22048, 2645, 547, 4217, 3988, 538, 17306, 741, 7270, 563, 6637, 476, 273, 281, 4197, 13259, 10915, 338, 454, 25105, 10915, 338, 568, 513, 3532, 22048, 1907, 602, 3091, 2934, 899, 20438, 1382, 267, 1394, 15062, 2079, 267, 543, 2841, 3218, 2079, 269, 769, 713, 3184, 267, 649, 3580, 608, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 693, 513, 4195, 5133, 454, 268, 654, 3739, 1145, 547, 7914, 538, 543, 723, 930, 1187, 454, 268, 3143, 1995, 610, 23944, 28987, 616, 2838, 454, 29261, 616, 13110, 543, 16397, 267, 2523, 3237, 609, 1453, 945, 723, 2027, 2115, 267, 971, 607, 10295, 563, 1103, 713, 1576, 649, 786, 948, 596, 1577, 979, 540, 519, 7903, 543, 7485, 547, 2119, 547, 1205, 707, 1126, 547, 2743, 707, 3853, 543, 948, 596, 3605, 875, 547, 3914, 707, 3853, 998, 1404, 267, 585, 1762, 543, 2025, 267, 811, 6923, 563, 7197, 9354, 4485, 1810, 1405, 2203, 5778, 20200, 673, 1404, 267, 4061, 938, 3214, 1810, 1405, 723, 519, 4316, 547, 1451, 1919, 899, 3069, 540, 2247, 267, 27510, 5872, 267, 543, 1434, 1412, 1961, 23155, 7591, 610, 31913, 7591, 1983, 2336, 1607, 568, 513, 2656, 2606, 3391, 547, 948, 596, 610, 707, 2319, 2818, 1205, 3323, 998, 938, 2110, 543, 1187, 7044, 2336, 2171, 4363, 2921, 513, 7008, 2395, 538, 1063, 1142, 3296, 547, 2259, 1018, 596, 1451, 563, 4131, 781, 3142, 2067, 1394, 547, 519, 3797, 1995, 2336, 8005, 713, 1576, 568, 585, 912, 268, 14268, 543, 4648, 945, 1616, 547, 1451, 811, 827, 1404, 3797, 585, 10295, 543, 1644, 2591, 454, 268, 14268, 543, 4648, 945, 616, 1007, 547, 513, 7849, 7591, 10657, 5358, 454, 268, 7731, 2818, 540, 1004, 609, 2027, 2115, 945, 1616, 547, 1174, 875, 547, 9305, 454, 268, 4658, 945, 1616, 547, 1921, 811, 7184, 609, 741, 6068, 835, 267, 538, 513, 811, 2067, 1259, 454, 268, 8409, 945, 6999, 547, 1039, 811, 1404, 547, 741, 2729, 267, 3347, 267, 543, 9354, 4485, 454, 19878, 773, 13264, 1863, 689, 519, 1158, 540, 3292, 543, 2553, 950, 1200, 16929, 1500, 519, 1982, 811, 1271, 982, 519, 1268, 269, 901, 8032, 2962, 1352, 3217, 2221, 269, 1411, 4465, 1405, 1294, 1200, 3843, 547, 1118, 3025, 519, 1482, 269, 1411, 786, 1995, 5191, 267, 5647, 267, 543, 606, 10761, 547, 1451, 950, 596, 616, 609, 1200, 563, 9213, 1352, 3096, 1200, 3573, 2866, 538, 3347, 543, 2792, 267, 19610, 609, 1200, 2866, 689, 519, 1655, 4966, 538, 519, 1158, 630, 628, 1678, 596, 26144, 1004, 1070, 547, 948, 3237, 543, 4648, 1265, 741, 3020, 9739, 267, 865, 789, 666, 1655, 948, 741, 3214, 630, 663, 4079, 264, 1265, 741, 3020, 5639, 269, 4173, 3483, 568, 547, 7618, 1004, 875, 547, 581, 1480, 538, 741, 4205, 609, 1004, 593, 519, 8552, 610, 609, 1022, 9659, 269, 1656, 547, 1118, 2386, 3025, 568, 4862, 267, 12595, 267, 15197, 267, 543, 2713, 741, 1655, 556, 19960, 1441, 2729, 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 ]