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, 2304, 7634, 883, 519, 13354, 6111, 540, 2947, 2010, 540, 13412, 12705, 2326, 4122, 1031, 538, 29260, 25185, 454, 17556, 2106, 267, 30083, 773, 8891, 6350, 454, 18404, 20631, 17004, 2407, 6221, 2594, 454, 19617, 2730, 2010, 540, 12705, 2326, 616, 4867, 2139, 585, 946, 676, 519, 5959, 19995, 585, 519, 21753, 540, 5641, 1964, 32590, 269, 3143, 1079, 2326, 798, 267, 2705, 267, 18613, 1142, 824, 538, 782, 3344, 267, 2943, 782, 3100, 547, 581, 5827, 540, 6721, 25685, 2164, 952, 26203, 7157, 269, 1717, 267, 519, 8244, 540, 513, 2034, 5641, 568, 1419, 2556, 585, 519, 3811, 12032, 540, 513, 5959, 11808, 269, 898, 568, 267, 4061, 267, 25368, 952, 2789, 5641, 338, 666, 581, 27366, 689, 519, 3312, 12705, 538, 9114, 340, 540, 2348, 547, 1118, 2789, 24221, 269, 634, 3409, 568, 1419, 1500, 602, 519, 811, 2487, 1714, 770, 9593, 545, 2326, 616, 5827, 540, 6721, 971, 513, 1267, 269, 634, 3483, 540, 713, 1353, 1287, 267, 729, 547, 6218, 543, 5635, 519, 6111, 540, 1101, 543, 2034, 5108, 5641, 338, 5833, 689, 519, 1482, 12705, 269, 14210, 24221, 540, 513, 13163, 540, 11621, 5884, 585, 2407, 13862, 21339, 941, 1500, 9001, 519, 1739, 12705, 2326, 269, 476, 272, 264, 2717, 903, 5285, 728, 476, 273, 264, 12443, 5930, 476, 274, 264, 8125, 545, 821, 476, 275, 264, 12443, 9109, 2643, 338, 559, 2135, 2033, 476, 276, 264, 1234, 23983, 10281, 10635, 3326, 1355, 634, 24221, 941, 23953, 538, 5959, 6149, 267, 543, 1310, 23023, 540, 519, 1101, 5108, 10523, 267, 513, 2034, 13248, 729, 1500, 593, 782, 519, 24221, 4849, 532, 1346, 5833, 689, 519, 8652, 322, 3326, 1355, 1570, 269, 12866, 10523, 941, 5697, 585, 1142, 1895, 540, 2326, 689, 1312, 519, 1101, 543, 2034, 5108, 10523, 543, 5641, 902, 941, 29959, 593, 891, 269, 634, 6967, 10523, 941, 6740, 693, 4055, 2837, 543, 11195, 585, 7893, 5301, 269, 1323, 3606, 4557, 24221, 941, 1500, 267, 9001, 519, 4874, 5930, 543, 4874, 9109, 2643, 338, 559, 2135, 2033, 2326, 267, 6740, 585, 3670, 2395, 693, 4055, 2837, 543, 11195, 543, 1287, 23953, 538, 5959, 6149, 269, 10011, 902, 941, 1287, 29959, 593, 1142, 540, 891, 10523, 269, 589, 2417, 2947, 5641, 902, 941, 14475, 2047, 593, 519, 4487, 5884, 269, 2353, 5641, 902, 941, 1287, 27206, 593, 519, 4487, 5884, 543, 8589, 27753, 941, 6027, 609, 513, 26215, 730, 1769, 17209, 269, 589, 16213, 14475, 593, 519, 4487, 5884, 729, 1287, 538, 2490, 27206, 593, 519, 2324, 10523, 543, 8589, 27753, 6027, 547, 2374, 2993, 880, 2436, 519, 10523, 941, 16136, 1242, 269, 10011, 902, 689, 1142, 1895, 540, 12705, 2326, 941, 1287, 27206, 593, 519, 7893, 10523, 543, 519, 8589, 27753, 6027, 269, 3689, 543, 2034, 13248, 5641, 902, 941, 849, 954, 577, 6548, 609, 1142, 824, 543, 8589, 27753, 6027, 269, 634, 2164, 8612, 602, 950, 5641, 902, 941, 5833, 689, 519, 1101, 5108, 10523, 267, 519, 4874, 5930, 543, 8652, 322, 3326, 1355, 2326, 3812, 519, 1034, 4977, 10523, 267, 15029, 519, 4874, 9109, 2643, 338, 559, 2135, 2033, 1570, 3812, 2034, 5108, 10523, 693, 476, 4366, 3108, 13380, 538, 6111, 547, 1101, 5108, 10523, 3812, 693, 476, 2190, 3108, 269, 634, 4874, 5930, 1570, 9863, 547, 581, 519, 1034, 4977, 950, 513, 1974, 540, 3670, 2395, 1714, 17863, 1991, 547, 26311, 540, 519, 10523, 269, 25392, 519, 1657, 5018, 19250, 9672, 5013, 267, 621, 3587, 2312, 602, 1100, 835, 1570, 2488, 19993, 2164, 896, 782, 6381, 267, 543, 2326, 1058, 4061, 581, 5697, 547, 1683, 741, 19993, 4162, 585, 519, 1808, 3483, 2838, 563, 303, 4041, 17955, 10691, 292, 281, 901, 960, 568, 6870, 676, 10677, 269, 8281, 532, 568, 11658, 547, 519, 645, 308, 2146, 281, 5225, 4945, 8281, 543, 2845, 538, 609, 513, 4570, 645, 308, 2272, 547, 1569, 269, 1403, 596, 616, 519, 2278, 540, 713, 960, 543, 1131, 899, 547, 1118, 621, 15597, 2139, 267, 5225, 3346, 18078, 17106, 11333, 3820, 7868, 3974, 630, 300, 2529, 322, 6185, 4700, 734, 289, 10667, 2160, 267, 8361, 631, 269, 7108, 2006, 3427, 540, 23958, 19239, 3588, 267, 476, 2735, 274, 630, 3682, 560, 327, 16599, 923, 264, 289, 9560, 2762, 281, 3762, 476, 16409, 268, 14681, 563, 305, 2074, 1607, 960, 568, 6870, 676, 10677, 269, 8281, 532, 568, 11658, 547, 519, 645, 308, 2146, 269, 1403, 596, 616, 519, 2278, 540, 713, 960, 543, 1131, 899, 547, 1118, 621, 15597, 2139, 267, 5225, 3346, 4757, 11333, 2593, 269, 0, 12892, 1299, 19884, 3163, 454, 1262, 1607, 1788, 568, 513, 851, 540, 519, 14400, 5358, 585, 7201, 12392, 3194, 630, 9915, 7838, 1070, 799, 2488, 15938, 1053, 609, 606, 14021, 476, 1015, 22173, 1382, 1995, 896, 519, 30023, 540, 513, 2160, 540, 18096, 12200, 4759, 269, 9501, 7838, 476, 1708, 272, 5956, 593, 2904, 476, 2918, 543, 7475, 593, 4864, 476, 276, 269, 1403, 596, 616, 5461, 538, 713, 1788, 267, 5225, 2689, 782, 1982, 1344, 593, 519, 9501, 7838, 3135, 269, 1403, 596, 6999, 547, 4019, 547, 713, 1788, 267, 596, 1590, 4019, 1210, 519, 9501, 7838, 476, 1708, 272, 3498, 269, 12533, 310, 761, 619, 267, 15806, 267, 543, 9205, 12439, 7567, 723, 1279, 5156, 602, 7836, 942, 538, 2470, 568, 1434, 585, 519, 2247, 543, 519, 1560, 269, 769, 1899, 609, 713, 267, 1082, 3173, 723, 6594, 875, 4598, 547, 2470, 666, 2087, 606, 1367, 779, 7099, 267, 4664, 267, 2566, 17550, 267, 543, 18906, 1308, 4390, 269, 769, 938, 2978, 693, 519, 2160, 540, 18096, 267, 649, 946, 6850, 775, 13921, 2762, 630, 7417, 294, 264, 547, 2263, 2436, 610, 711, 21599, 538, 2470, 2242, 938, 2634, 2534, 269, 1677, 798, 713, 267, 649, 1491, 5171, 593, 513, 476, 276, 6377, 22742, 7552, 543, 2594, 741, 2634, 2534, 1354, 267, 1282, 267, 543, 1310, 519, 7552, 269, 1924, 2484, 267, 649, 723, 1336, 2242, 538, 1614, 2634, 5951, 3334, 1572, 519, 5470, 5829, 2258, 18356, 267, 519, 8007, 25273, 267, 543, 519, 623, 4968, 269, 1717, 267, 1569, 547, 2470, 568, 4742, 5051, 2352, 607, 811, 543, 811, 1004, 1847, 547, 4683, 7740, 543, 4027, 540, 19069, 5624, 5170, 547, 581, 12219, 269, 4475, 267, 519, 1699, 1788, 786, 2263, 952, 13156, 2592, 540, 2470, 568, 3532, 2614, 547, 29360, 2242, 538, 891, 2634, 3334, 269, 19893, 685, 2634, 2534, 786, 581, 6592, 1310, 13156, 2592, 540, 2901, 2067, 610, 4683, 5054, 267, 543, 649, 786, 5635, 891, 8047, 12258, 21124, 2164, 547, 519, 3105, 4681, 649, 4767, 593, 519, 22742, 15143, 269, 901, 1382, 568, 1271, 267, 607, 621, 949, 948, 2626, 519, 1279, 29280, 2243, 3823, 1018, 968, 323, 657, 720, 892, 540, 2470, 568, 2838, 547, 29360, 2242, 538, 519, 2634, 269, 901, 1382, 949, 849, 7866, 513, 811, 3015, 4781, 585, 2043, 602, 1810, 1406, 723, 1569, 547, 1483, 2470, 267, 971, 607, 1346, 538, 30813, 610, 10506, 267, 547, 2744, 519, 2640, 2404, 609, 2470, 4598, 563, 1607, 568, 513, 6976, 1382, 2990, 454, 763, 9501, 7838, 2875, 666, 581, 4397, 547, 1404, 513, 1360, 3946, 6823, 1909, 609, 713, 1788, 269, 2755, 1454, 540, 519, 968, 935, 24632, 1436, 892, 3942, 540, 519, 1788, 786, 2907, 581, 2347, 267, 649, 1131, 899, 519, 2875, 547, 581, 3238, 538, 1142, 3942, 540, 519, 1788, 3564, 602, 269, 13018, 267, 649, 786, 2503, 519, 2875, 547, 581, 5097, 3743, 585, 519, 1239, 4015, 6712, 540, 519, 1353, 269, 901, 1131, 4125, 16461, 1746, 5171, 267, 20319, 873, 547, 2097, 883, 519, 2978, 267, 543, 10655, 519, 661, 9680, 1239, 1247, 5171, 2347, 513, 3126, 540, 5042, 4247, 269, 2991, 1239, 4015, 568, 2347, 267, 649, 1544, 593, 2348, 519, 2875, 3238, 538, 519, 840, 3491, 22422, 540, 519, 661, 9680, 1239, 543, 519, 5137, 540, 519, 2680, 5829, 1761, 13602, 269, 1306, 519, 1982, 3340, 267, 649, 2503, 602, 519, 2875, 786, 849, 1459, 741, 960, 693, 519, 1439, 540, 519, 4832, 543, 786, 5000, 519, 2875, 547, 10505, 741, 4681, 547, 519, 15938, 1382, 4760, 269, 634, 2875, 666, 2503, 547, 2744, 3573, 1995, 538, 661, 9680, 1382, 268, 3226, 538, 968, 322, 6260, 892, 5171, 543, 1565, 519, 9238, 540, 4223, 24248, 543, 681, 585, 1239, 4393, 543, 2079, 269, 22647, 1230, 1154, 1890, 4643, 281, 1403, 9501, 7838, 3112, 2049, 538, 1268, 713, 1032, 267, 519, 9501, 7838, 2875, 786, 948, 721, 1205, 1776, 2470, 543, 17133, 5829, 1788, 1055, 519, 2666, 734, 712, 7186, 543, 595, 10744, 18299, 523, 3163, 5741, 269, 5221, 621, 568, 2352, 547, 2445, 1804, 9424, 540, 1239, 538, 2470, 1813, 547, 2845, 6750, 4145, 543, 942, 10148, 267, 649, 723, 4956, 547, 15407, 519, 1082, 3906, 602, 2907, 979, 593, 2470, 15143, 593, 513, 2834, 4493, 267, 971, 607, 9205, 2069, 3292, 610, 19069, 3797, 3292, 269, 1284, 616, 2324, 593, 2870, 513, 1804, 8397, 1353, 538, 799, 12504, 3744, 267, 610, 2482, 1239, 19216, 267, 786, 581, 8036, 547, 2445, 1239, 593, 513, 15321, 4493, 267, 593, 741, 1378, 2474, 267, 543, 4283, 621, 883, 513, 7372, 2228, 6538, 269, 634, 9501, 7838, 2875, 786, 1711, 2228, 2866, 2326, 585, 891, 12504, 3744, 267, 1305, 909, 519, 6538, 602, 786, 4558, 519, 1239, 267, 543, 4019, 585, 16843, 289, 13170, 269, 1403, 519, 1353, 5956, 1354, 519, 1439, 540, 519, 4832, 267, 519, 9501, 7838, 2875, 786, 849, 948, 5721, 938, 12504, 3744, 936, 28652, 543, 786, 14441, 519, 1353, 593, 1514, 2923, 543, 4757, 1592, 1606, 21665, 269, 4595, 713, 1353, 568, 2966, 547, 2196, 7357, 2228, 267, 782, 540, 519, 4330, 960, 666, 581, 5340, 20716, 269, 634, 3804, 540, 713, 1788, 568, 1079, 24670, 269, 3776, 1101, 3804, 568, 547, 2445, 513, 3677, 7274, 540, 1239, 982, 1131, 6382, 581, 15164, 936, 513, 1454, 811, 3309, 16045, 3732, 267, 543, 936, 513, 6626, 10923, 1858, 269, 3776, 2034, 3804, 568, 547, 1683, 606, 3872, 4316, 585, 938, 12504, 3744, 267, 543, 1346, 789, 2445, 1239, 689, 267, 593, 519, 3621, 1505, 563, 1607, 1995, 786, 581, 3407, 585, 513, 2875, 1100, 2339, 1018, 789, 3442, 538, 1272, 269, 1403, 519, 2875, 16858, 547, 979, 547, 10927, 1153, 267, 713, 4990, 540, 1463, 1382, 1995, 786, 581, 2629, 547, 519, 1967, 540, 741, 3498, 269, 1284, 1683, 1463, 1995, 538, 7893, 543, 1620, 519, 1480, 2634, 609, 661, 9680, 543, 824, 8965, 2645, 269, 1403, 519, 2875, 568, 5461, 538, 23798, 267, 713, 1995, 786, 1450, 873, 547, 4487, 519, 1983, 540, 10655, 543, 4393, 661, 9680, 1239, 269, 769, 1840, 267, 519, 2875, 786, 723, 513, 2189, 4316, 547, 7119, 538, 1930, 2257, 2853, 269, 1284, 1544, 547, 10505, 713, 1353, 607, 513, 21362, 1229, 7797, 267, 2495, 649, 786, 979, 998, 519, 9263, 21623, 3157, 1991, 547, 10655, 1022, 1239, 267, 4180, 9237, 2257, 543, 2178, 19165, 269, 1717, 267, 3564, 3274, 1382, 1995, 585, 10927, 1153, 267, 649, 3494, 602, 938, 2978, 11942, 1646, 538, 513, 1297, 540, 1983, 602, 4483, 3564, 519, 1382, 1604, 269, 4841, 786, 1451, 1788, 2359, 543, 10721, 1983, 267, 519, 2571, 1983, 2404, 609, 10647, 1480, 1382, 2090, 267, 543, 2744, 3407, 2780, 1983, 971, 607, 8193, 538, 4223, 18350, 267, 681, 543, 5124, 269, 589, 4514, 1620, 540, 519, 3621, 1505, 267, 607, 1134, 607, 875, 938, 2634, 779, 18906, 1308, 1062, 1568, 267, 786, 849, 5351, 873, 538, 741, 4948, 2729, 543, 1118, 873, 2565, 6800, 540, 2257, 563, 3374, 268, 2412, 3108, 829, 3018, 593, 1382, 543, 1982, 5829, 2238, 267, 5956, 2904, 476, 2918, 267, 476, 1708, 272, 267, 543, 7475, 4864, 476, 276, 267, 476, 1708, 272, 454, 3849, 3939, 547, 519, 1982, 568, 8013, 269, 7248, 1218, 1590, 2743, 782, 540, 519, 1739, 7355, 281, 476, 272, 264, 581, 513, 1319, 878, 4327, 267, 4110, 5498, 22701, 15938, 2875, 538, 519, 12096, 476, 1708, 272, 19496, 630, 8218, 940, 610, 11173, 2852, 4876, 538, 12096, 476, 1708, 272, 543, 711, 4271, 908, 1354, 5412, 476, 1708, 272, 282, 21276, 27350, 1247, 538, 1164, 1153, 1281, 711, 2743, 713, 25046, 10421, 1040, 7248, 1218, 798, 711, 991, 547, 581, 513, 2160, 540, 18096, 2875, 269, 476, 273, 264, 14718, 547, 960, 538, 519, 2136, 2276, 281, 1403, 596, 616, 513, 2160, 540, 18096, 14134, 518, 630, 5976, 610, 1510, 667, 3722, 288, 1070, 596, 616, 14718, 547, 7119, 269, 1403, 596 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 781, 28116, 286, 898, 3217, 942, 267, 9639, 267, 543, 3006, 9939, 256, 1809, 4952, 2348, 513, 2780, 1982, 602, 1223, 3533, 1265, 519, 3070, 585, 1022, 2016, 13306, 12122, 269, 12824, 1031, 513, 1114, 590, 8656, 1572, 3487, 1834, 4210, 1301, 26659, 630, 4916, 302, 264, 547, 798, 1175, 602, 780, 4916, 302, 1138, 12885, 6177, 1166, 12177, 2623, 267, 1141, 1367, 5017, 1246, 1978, 3652, 1247, 3843, 547, 3914, 741, 10278, 269, 3962, 9325, 4564, 513, 2009, 3070, 267, 7683, 21130, 922, 2990, 1759, 593, 922, 1378, 1655, 1995, 543, 519, 7104, 7326, 540, 782, 5536, 269, 4635, 623, 12569, 267, 3744, 2919, 513, 1062, 5827, 540, 6061, 11676, 1731, 781, 10699, 525, 5488, 982, 1034, 3425, 2439, 3383, 1946, 1281, 2220, 1301, 4987, 2339, 585, 721, 888, 8139, 2220, 1301, 4987, 2636, 721, 547, 1628, 21273, 6191, 602, 666, 1451, 267, 3082, 267, 543, 4194, 1950, 2042, 811, 7561, 982, 2757, 7384, 2409, 269, 1306, 2029, 8441, 267, 649, 949, 1294, 811, 4052, 3156, 899, 1582, 28391, 6517, 267, 5100, 21870, 267, 543, 4359, 17562, 4324, 1154, 689, 891, 2470, 30816, 2553, 269, 5808, 6487, 1765, 16673, 2041, 14693, 707, 5172, 3381, 3014, 1915, 1522, 946, 2220, 1301, 4987, 547, 856, 8243, 691, 17837, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 1001, 275, 267, 4320, 476, 1240, 267, 21508, 500, 1321, 454, 8512, 589, 281, 19556, 543, 8950, 3525, 2454, 454, 310, 839, 26907, 15651, 272, 267, 674, 1263, 18681, 272, 267, 476, 273, 267, 13535, 604, 1263, 2473, 826, 272, 267, 962, 784, 26907, 18681, 273, 454, 23490, 7473, 2207, 26827, 21822, 5058, 1299, 21832, 570, 20168, 12471, 22494, 476, 1001, 275, 476, 1240, 263, 1321, 288, 264, 476, 278, 268, 1321, 454, 272, 18662, 540, 12957, 267, 3345, 13523, 12443, 23855, 673, 2160, 267, 2473, 328, 685, 534, 476, 278, 1015, 5881, 273, 267, 3624, 454, 273, 18662, 540, 6176, 7177, 267, 312, 6081, 2160, 267, 962, 6081, 476, 278, 866, 1822, 267, 3624, 454, 2005, 568, 835, 540, 519, 1382, 28326, 13607, 543, 2352, 540, 519, 5599, 15780, 1614, 8820, 1344, 543, 14839, 585, 8652, 514, 26197, 267, 547, 4194, 519, 1966, 540, 15780, 3289, 14347, 17027, 8901, 6538, 543, 14839, 540, 476, 274, 291, 17027, 20592, 267, 6069, 513, 1614, 8820, 17027, 20592, 1505, 1759, 593, 13113, 3017, 1505, 267, 543, 519, 9553, 8652, 613, 1670, 8901, 6538, 267, 519, 15780, 5619, 1344, 6538, 267, 274, 291, 17027, 20592, 1759, 593, 22944, 267, 15780, 8901, 14839, 540, 476, 274, 291, 1239, 2203, 543, 1883, 6620, 616, 2813, 269, 29896, 2164, 1397, 602, 666, 8275, 519, 8652, 613, 1670, 2230, 538, 962, 6081, 1858, 6538, 543, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 18933, 1301, 11106, 257, 607, 851, 540, 834, 28035, 1315, 14464, 11106, 1315, 4937, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6637, 476, 278, 281, 27588, 2659, 13574, 8274, 10794, 910, 3487, 476, 274, 281, 20780, 532, 24812, 8625, 998, 19983, 692, 1103, 713, 3184, 267, 649, 786, 2263, 835, 540, 519, 1034, 13858, 3344, 540, 4604, 3756, 281, 6345, 5872, 256, 5994, 4730, 513, 3014, 1141, 3025, 18795, 23900, 267, 2921, 7140, 3257, 4986, 811, 982, 12902, 18062, 610, 5373, 6486, 269, 17610, 267, 972, 781, 1869, 1187, 3238, 267, 855, 950, 5716, 8362, 4497, 609, 1142, 824, 1282, 29863, 267, 602, 781, 1141, 519, 1483, 9059, 4523, 269, 1924, 1577, 781, 4685, 883, 1114, 2081, 547, 1711, 6209, 4205, 1063, 707, 5716, 2439, 1262, 4089, 476, 272, 281, 31913, 5288, 14847, 1438, 10632, 4373, 2467, 616, 1079, 1292, 2010, 540, 3818, 16651, 4604, 3756, 1759, 593, 6345, 5872, 281, 18756, 543, 8013, 269, 2913, 781, 1294, 1018, 2306, 891, 6688, 2189, 1384, 265, 10870, 10869, 10632, 17041, 454, 5522, 16558, 960, 1927, 607, 513, 2319, 1996, 2591, 15054, 676, 519, 3014, 3294, 269, 1358, 2671, 2200, 267, 2054, 1125, 7575, 267, 543, 8661, 24984, 1927, 269, 6201, 1331, 2608, 303, 663, 2438, 24682, 2608, 2690, 321, 5200, 6816, 24682, 543, 2608, 14503, 1662, 8672, 29688, 1452, 3756, 3895, 5698, 267, 2792, 267, 543, 1966, 6061, 1851, 5716, 780, 265, 4467, 7065, 1438, 10632, 17041, 454, 2080, 267, 5716, 14526, 1996, 835, 1776, 3843, 547, 3035, 1367, 3853, 1247, 12042, 1359, 17837, 269, 25839, 1806, 1331, 2608, 12507, 30496, 24682, 2608, 9928, 4599, 1076, 24682, 543, 2608, 10267, 1087, 30818, 6270, 3756, 666, 6536, 7580, 3206, 267, 5876, 267, 543, 1256, 5026, 26206, 780, 1262, 4089, 476, 273, 281, 6034, 25966, 1473, 1311, 29568, 4373, 32156, 5872, 3884, 1405, 1175, 3908, 547, 12721, 610, 23712, 282, 621, 666, 1491, 1082, 3029, 269, 634, 1079, 3119, 3283, 1373, 1463, 543, 9940, 4205, 780, 265, 17445, 29568, 17041, 454, 4322, 4125, 3527, 3144, 676, 835, 6345, 602, 5612, 1860, 1866, 1472, 519, 3349, 269, 1280, 1383, 267, 27560, 2724, 538, 2608, 12507, 30496, 24682, 3001, 4773, 538, 2608, 28989, 256, 265, 610, 22215, 3197, 538, 2608, 32391, 29688, 6034, 4205, 1039, 10761, 267, 8082, 267, 543, 12416, 547, 519, 11080, 1995, 780, 265, 5715, 1311, 29568, 17041, 454, 4407, 1447, 6654, 267, 891, 5705, 2401, 3029, 540, 5872, 1869, 1764, 1169, 16045, 269, 1323, 5140, 14745, 1131, 581, 11093, 4155, 4565, 4169, 538, 2608, 307, 1157, 564, 1677, 681, 728, 265, 602, 3500, 1524, 30347, 610, 9544, 10651, 1985, 547, 17837, 538, 2608, 290, 2117, 817, 517, 928, 265, 799, 7118, 2798, 585, 3054, 855, 3625, 1761, 20073, 687, 585, 8284, 22254, 269, 9282, 11029, 267, 891, 4205, 1832, 782, 5716, 16539, 2429, 519, 3014, 780, 1262, 12244, 5384, 256, 4373, 3086, 602, 649, 1174, 519, 9238, 540, 6345, 5872, 1577, 781, 4019, 713, 16012, 1702, 18374, 269, 19147, 707, 2383, 883, 8424, 610, 1507, 2516, 269, 7994, 2436, 596, 1616, 547, 1374, 513, 18756, 610, 8013, 3014, 269, 32341, 952, 596, 4782, 1463, 610, 9940, 4205, 630, 528, 6148, 3575, 1312, 14386, 3973, 1376, 23730, 2035, 5329, 1346, 3741, 538, 2247, 269, 5457, 547, 1589, 21176, 1107, 1100, 2856, 568, 1932, 21173, 693, 713, 3942, 256, 30850, 267, 1865, 707, 4555, 543, 13217, 707, 1523, 2417, 780, 3528, 1631, 267, 596, 723, 4121, 519, 2956, 540, 6345, 5872, 1369, 4604, 3756, 269, 1635, 8888, 2901, 24625, 8271, 610, 8013, 569, 11295, 3756, 267, 6220, 2609, 540, 1463, 1145, 610, 9940, 1145, 267, 596, 1450, 5716, 547, 1921, 543, 5968, 267, 2870, 12300, 2833, 4904, 609, 7772, 267, 24457, 267, 543, 23274, 269, 8414, 8888, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2108, 28646, 596, 1522, 581, 5461, 538, 5356, 513, 13186, 585, 938, 5741, 10432, 693, 519, 1439, 540, 519, 1032, 267, 2108, 519, 9030, 540, 1250, 8695, 685, 1153, 5143, 803, 269, 1284, 941, 5870, 585, 519, 1101, 942, 547, 2911, 827, 1585, 1919, 267, 543, 519, 1641, 540, 3756, 267, 3014, 1374, 267, 543, 1250, 3105, 1995, 609, 6107, 543, 1453, 3357, 909, 563, 15703, 3275, 2663, 267, 594, 729, 2016, 513, 4928, 2407, 540, 476, 1428, 1053, 689, 9344, 476, 275, 268, 277, 630, 280, 268, 1321, 4458, 29419, 264, 609, 476, 275, 2395, 547, 4001, 873, 875, 547, 1374, 3756, 543, 2285, 873, 519, 2326, 547, 798, 865, 269, 594, 729, 849, 2016, 513, 4928, 609, 513, 1360, 3579, 12829, 8274, 267, 543, 729, 9599, 547, 6368, 581, 2111, 547, 946, 835, 563, 10376, 1554, 267, 649, 1185, 519, 2407, 476, 275, 3108, 689, 476, 279, 513, 6230, 269, 2394, 29869, 547, 1451, 267, 1404, 267, 1374, 543, 1628, 269, 901, 729, 1312, 3078, 543, 513, 2370, 17559, 269, 594, 1185, 2760, 1185, 865, 1454, 942, 609, 971, 1762, 1053, 547, 4001, 873, 827, 3014, 1374, 543, 948, 873, 1374, 741, 1378, 3756, 269, 14348, 621, 581, 1932, 1454, 942, 547, 6445, 286, 14348, 789, 5555, 6336, 1719, 286, 16393, 789, 3251, 5059, 2614, 547, 1205, 930, 3756, 8737, 538, 942, 585, 519, 533, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 717, 4456, 2464, 1299, 8028, 2316, 9654, 25765, 1315, 8274, 10632, 1315, 26761, 19983, 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, 1012, 5384, 10022, 5811, 281, 670, 2678, 15119, 4201, 648, 326, 4809, 16448, 531, 670, 2678, 657, 330, 539, 2880, 640, 630, 295, 24086, 264, 7844, 692, 1103, 713, 1837, 267, 649, 786, 5490, 883, 519, 670, 24086, 2203, 267, 799, 568, 513, 1826, 540, 4937, 1242, 4201, 648, 326, 4809, 16448, 531, 670, 2678, 657, 330, 539, 2880, 640, 630, 294, 24086, 264, 2203, 1031, 585, 9781, 942, 3126, 1239, 269, 1284, 786, 2263, 519, 1523, 540, 25359, 24159, 267, 519, 20932, 3297, 519, 670, 24086, 2203, 267, 543, 922, 6388, 1210, 5124, 780, 2162, 5292, 12546, 1849, 755, 1359, 692, 14157, 12546, 24159, 568, 519, 7613, 1141, 1804, 2242, 538, 519, 1871, 540, 513, 942, 3126, 4043, 547, 581, 4553, 676, 1804, 2242, 267, 543, 1507, 2242, 4043, 547, 581, 4553, 676, 1507, 2242, 269, 901, 2164, 538, 13421, 540, 25359, 538, 519, 942, 3126, 1239, 780, 2162, 670, 24086, 7844, 692, 763, 670, 24086, 2203, 568, 513, 1826, 540, 717, 24086, 2203, 602, 568, 1031, 547, 7001, 519, 25359, 24159, 1198, 538, 2883, 942, 3126, 1239, 269, 634, 2203, 568, 1572, 834, 515, 614, 15119, 257, 1317, 621, 2636, 585, 1114, 561, 4711, 538, 519, 1313, 648, 326, 4809, 1184, 267, 799, 666, 7001, 1312, 2110, 3856, 543, 1279, 3856, 29444, 538, 519, 1239, 780, 763, 670, 24086, 2203, 568, 3989, 607, 5205, 1384, 16465, 315, 18406, 4671, 317, 273, 815, 1422, 18652, 1341, 1422, 8999, 3709, 328, 284, 272, 8703, 335, 348, 1422, 10401, 10983, 1422, 18406, 3709, 339, 25829, 11892, 273, 1341, 1422, 8999, 3709, 329, 284, 272, 8703, 336, 348, 1422, 15883, 19553, 1422, 22668, 3709, 339, 18191, 11892, 273, 1341, 1422, 8999, 3709, 330, 284, 272, 8703, 337, 348, 1422, 24472, 17624, 22570, 8999, 3709, 331, 284, 272, 8703, 332, 17624, 348, 1422, 18406, 3709, 339, 2000, 11892, 273, 994, 9681, 3602, 912, 268, 4399, 18406, 4671, 317, 273, 259, 568, 519, 19585, 13065, 693, 942, 1269, 339, 14204, 268, 4399, 18652, 8961, 4399, 10401, 10983, 8961, 4399, 15883, 19553, 8961, 543, 4399, 24472, 17624, 259, 616, 6724, 547, 581, 6059, 454, 268, 4399, 22668, 4671, 259, 568, 519, 5470, 2165, 693, 942, 1269, 339, 14204, 268, 1269, 335, 8961, 1269, 336, 8961, 543, 1269, 337, 259, 616, 519, 9753, 540, 519, 1313, 648, 326, 4809, 267, 3001, 3328, 267, 543, 26945, 3334, 267, 6606, 454, 268, 1269, 332, 17624, 259, 568, 519, 18848, 3259, 585, 519, 1269, 330, 259, 628, 26945, 5057, 692, 763, 1101, 1079, 2474, 593, 519, 1318, 11804, 2427, 540, 519, 3830, 2099, 519, 3044, 717, 24086, 9638, 267, 336, 264, 2203, 267, 1247, 519, 3791, 2165, 4564, 519, 26945, 5057, 269, 634, 26945, 5057, 2636, 585, 1114, 561, 4711, 538, 519, 1313, 648, 326, 4809, 1184, 267, 799, 666, 7001, 1312, 2110, 3856, 543, 1279, 3856, 29444, 538, 519, 1239, 780, 2162, 20074, 519, 670, 24086, 7844, 538, 5124, 692, 2414, 2936, 519, 670, 24086, 2203, 538, 5124, 267, 649, 786, 946, 519, 2387, 1105, 319, 5399, 267, 799, 2488, 2645, 585, 9781, 942, 3126, 1239, 609, 717, 24086, 3631, 269, 1284, 786, 849, 946, 519, 2387, 31596, 319, 5399, 585, 10230, 26398, 780, 5575, 267, 649, 991 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 707, 3853, 269, 3245, 8884, 2866, 7886, 547, 11931, 15581, 3646, 593, 513, 25500, 17524, 610, 19335, 11332, 267, 972, 616, 9118, 3681, 2139, 602, 666, 948, 596, 909, 707, 2773, 593, 519, 5480, 1107, 1100, 2339, 952, 596, 2461, 1175, 4358, 856, 610, 2907, 606, 4810, 6345, 269, 2913, 779, 4685, 1318, 883, 1808, 2994, 596, 666, 946, 547, 1118, 2386, 707, 28491, 2866, 814, 544, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 3682, 3397, 1006, 1744, 583, 1479, 257, 607, 851, 540, 834, 4047, 22483, 1299, 32362, 1315, 11644, 1315, 3955, 1998, 9751, 630, 514, 743, 269, 670, 2862, 307, 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, 0, 1012, 22532, 17978, 281, 589, 12213, 667, 633, 883, 21023, 633, 21290, 692, 2162, 4985, 547, 22532, 17978, 692, 10468, 1116, 5121, 616, 513, 15410, 540, 3684, 1565, 6620, 6273, 676, 519, 1480, 2634, 269, 1358, 616, 2966, 547, 5431, 3270, 543, 1451, 689, 1239, 267, 1818, 873, 513, 3532, 1907, 585, 4247, 971, 607, 3239, 6284, 267, 2067, 1893, 4393, 267, 543, 16762, 9781, 780, 288, 8849, 3060, 5161, 540, 6106, 540, 10562, 9136, 610, 834, 928, 584, 976, 1701, 3962, 22813, 3217, 538, 930, 3403, 267, 10039, 513, 1599, 547, 621, 267, 543, 10596, 519, 1267, 593, 547, 519, 1985, 4494, 269, 634, 1101, 4494, 568, 519, 3403, 4494, 267, 519, 2063, 4494, 568, 519, 3977, 4494, 267, 543, 1022, 6106, 538, 1063, 616, 1572, 6456, 6106, 780, 763, 3804, 540, 513, 8849, 3060, 568, 547, 1451, 519, 12035, 630, 528, 6724, 264, 540, 519, 4296, 1063, 11409, 602, 1655, 4786, 519, 3403, 1239, 547, 519, 5551, 3977, 269, 901, 568, 2944, 998, 513, 1184, 1572, 2866, 267, 1141, 519, 3060, 4188, 338, 922, 12035, 1759, 593, 519, 5470, 540, 922, 11236, 780, 2162, 15932, 19461, 1436, 540, 1284, 2074, 692, 6524, 649, 666, 5721, 513, 8849, 3060, 267, 649, 991, 547, 3355, 1125, 519, 12035, 540, 519, 4296, 1063, 11409, 269, 589, 1455, 1935, 568, 547, 3355, 1125, 519, 12035, 14477, 269, 901, 2337, 2327, 602, 519, 3060, 1281, 711, 1205, 12758, 538, 513, 2199, 5934, 1282, 2866, 780, 1103, 5124, 267, 649, 666, 946, 519, 2387, 31596, 319, 5399, 547, 5352, 4351, 2338, 269, 3371, 781, 606, 1383, 540, 875, 547, 3355, 1125, 519, 12035, 585, 513, 8849, 3060, 609, 1614, 6456, 6106, 1384, 3499, 7090, 454, 5814, 11885, 607, 5286, 692, 258, 19461, 1125, 519, 12035, 585, 519, 1101, 6456, 4494, 454, 9064, 272, 815, 5286, 20179, 20120, 263, 275, 267, 476, 274, 2020, 258, 19461, 1125, 519, 12035, 585, 519, 2034, 6456, 4494, 454, 9064, 273, 815, 5286, 20179, 20120, 263, 274, 267, 476, 274, 2020, 258, 19461, 1125, 519, 12035, 585, 519, 3791, 6456, 4494, 454, 9064, 274, 815, 5286, 20179, 20120, 263, 274, 267, 476, 274, 994, 7884, 2162, 2920, 10474, 12793, 692, 8002, 10474, 3252, 616, 1031, 547, 6338, 1875, 11060, 10846, 883, 519, 8849, 3060, 269, 1358, 3313, 519, 3977, 540, 513, 22813, 2016, 922, 3403, 269, 5871, 11852, 3252, 1331, 519, 521, 31451, 1599, 267, 519, 5409, 26382, 17242, 1599, 267, 543, 519, 6439, 1881, 5276, 1770, 630, 3725, 299, 308, 264, 1599, 780, 763, 521, 31451, 1599, 568, 3989, 607, 1384, 16465, 315, 18406, 3287, 264, 815, 1422, 2765, 346, 272, 2410, 272, 1341, 552, 13064, 343, 3686, 454, 9681, 2005, 7851, 1022, 3403, 1871, 547, 513, 2039, 1063, 476, 271, 543, 476, 272, 267, 1818, 621, 513, 1434, 3903, 585, 9352, 8760, 4247, 780, 2080, 781, 606, 1383, 540, 875, 547, 2936, 519, 521, 31451, 1599, 538, 5124, 1384, 3499, 7090, 454, 3698, 521, 31451, 3287, 2187, 825, 2132, 476, 272, 1315, 630, 272, 1341, 5286, 269, 10339, 8987, 343, 4917, 7884, 2162, 9751, 513, 22532, 8416, 692, 2414, 5721, 513, 8849, 3060, 267, 649, 991, 547, 5581, 513, 1942, 1599, 602, 3800, 519, 5470, 540, 519, 3060, 781, 11236, 269, 589, 1455, 3903, 568, 519, 1611, 16302, 5470, 630, 5960, 292, 264, 1599, 267, 799, 3800, 519, 3328, 16302, 3017, 1063, 519, 3060, 781, 11236, 543, 519, 3020, 10297, 780, 763, 3804, 540, 2866, 568, 547, 7413, 519, 1942, 1599, 676, 14577, 519, 12035, 540, 519, 4296, 1063, 11409, 269, 901, 568, 2944, 1210, 606, 11938, 5690, 971, 607, 13506, 16350, 780, 294, 2784, 1304, 16350, 1568, 676, 12055, 8271, 21130, 519, 12035, 538, 519, 4287, 540, 14869, 652, 16350, 540, 519, 1942, 1599, 269, 634, 9337, 4341, 585, 519, 12035, 568, 2016, 676, 1384, 16465, 24592, 19553, 815, 1422, 9064, 19553, 910, 1422, 10401, 1422, 2765, 3189, 14783, 808, 7346, 14783, 1422, 9064, 19553, 8679, 9681, 3602, 4399, 9064, 19553, 259, 568, 519, 2597, 540, 519, 4276, 1063, 11409, 1269, 328, 259, 543, 1269, 329, 8961, 4399, 10401, 259, 568, 519, 1565, 2557, 267, 543, 4399, 2765, 3189, 14783, 808, 7346, 14783, 1422, 9064, 19553, 4151, 568, 519, 9864, 12045, 540, 519, 1942, 1599, 609, 2463, 547, 4399, 9064, 19553, 16859, 2080, 781, 606, 1383, 540, 875, 547, 2936, 13506, 16350, 538, 5124, 1384, 3499, 7090, 454, 3698, 4412, 3287, 267, 586, 267, 23940, 274, 267, 23940, 273, 267, 23940, 272, 267, 13672, 2187, 825, 1948, 28644, 18640, 454, 825, 620, 272, 815, 5286, 31715, 263, 9064, 272, 11053, 267, 1535, 994, 825, 620, 272, 815, 521, 31451, 263, 531, 272, 994, 825, 620, 273, 815, 5286, 31715, 263, 9064, 273, 11053, 267, 620, 272, 994, 825, 620, 273, 815, 521, 31451, 263, 531, 273, 994, 825, 3977, 815, 5286, 31715, 263, 9064, 274, 11053, 267, 620, 273, 994, 825, 3977, 815, 521, 31451, 263, 16059, 2020, 825, 1948, 7982, 1189, 18640, 454, 825, 546, 274, 815, 910, 273, 2608, 630, 344, 910, 3977, 264, 2608, 3977, 2608, 630, 272, 910, 3977, 994, 825, 546, 273, 815, 5286, 31715, 263, 9064, 274, 267, 546, 274, 264, 2608, 620, 273, 2608, 630, 272, 910, 620, 273, 994, 825, 546, 272, 815, 5286, 31715, 263, 9064, 273, 267, 546, 273, 264, 2608, 620, 272, 2608, 630, 272, 910, 620, 272, 2020, 825, 1948, 22352, 519, 12035, 454, 825, 23940, 274, 20699, 13672, 2608, 5286, 31715, 5560, 274, 267, 620, 273, 11053, 994, 825, 23940, 273, 20699, 13672, 2608, 5286, 31715, 5560, 273, 267, 620, 272, 11053, 994, 825, 23940, 272, 20699, 13672, 2608, 5286, 31715, 5560, 272, 267, 1535, 11053, 2020, 825, 1948, 17776, 519, 8242, 12035, 543, 519, 1942, 454, 825, 2132, 23940, 272, 267, 23940, 273, 267, 23940, 274, 267, 546, 274, 27904, 19572, 3977, 454, 7884, 2162, 28518, 513, 22532, 8416, 692, 5629, 649, 4312, 8036, 938, 8849, 3060, 267, 649, 666, 6218, 922, 2773, 593, 513, 1449, 1305, 269, 901, 3322, 1818, 11236, 593, 519, 1449, 1305, 543, 9236, 873, 547, 519, 3020, 10297, 780, 2080, 781, 606, 1383, 540, 875, 547, 6218, 513, 8849, 3060, 538, 5124, 1384, 3499, 7090, 454, 258, 13281, 593, 1449, 1305, 454, 551, 815, 476, 271, 454, 753, 815, 11713, 1721, 1775, 538, 2039, 3287, 15305, 17482, 314, 271, 316, 2187, 825, 620, 272, 815, 5286, 31715, 263, 9064, 272, 11053, 267, 1535, 15305, 5157, 4940, 31412, 9230, 275, 267, 476, 272, 21875, 825, 620, 272, 815, 521, 31451, 263, 531, 272, 994, 825, 620, 273, 815, 5286, 31715, 263, 9064, 273, 11053, 267, 620, 272, 994, 825, 620, 273, 815, 521, 31451, 263, 531, 273, 994, 825, 3977, 815, 5286, 31715, 263, 9064, 274, 11053, 267, 620, 273, 994, 825, 3977, 815, 521, 31451, 263, 16059, 994, 825, 20735, 6910, 18828, 269, 842, 18828, 269, 1037, 263, 16059, 1040, 1173, 10946, 3890, 11723, 258, 12433, 519, 6111, 540, 519, 3060, 454, 16557, 815, 476, 271, 454, 1721, 1775, 538, 2039, 12169, 15305, 17482, 314, 271, 316, 2187, 825, 952, 586, 15305, 5157, 6012, 753, 5157, 14963, 2652, 476, 272, 912, 1038, 6060, 815, 6060, 1341, 476, 272, 454, 2745, 2891, 16914, 5596, 281, 14307, 6060, 1315, 586, 15305, 17482, 314, 271, 316, 2608, 476, 1911, 269, 271, 267, 834, 260, 5602, 7884, 2162, 10390, 692, 1103, 713, 1837, 267, 649, 4312, 4988, 519, 9238, 540, 8849, 5121, 543, 875, 547, 5721, 543, 6218, 873, 1210, 5124, 269, 1284, 4312, 4121, 827, 4351, 3355, 1436, 540, 12035, 267, 11852, 3252, 267, 13506, 16350, 267, 543, 1942, 3252, 780, 10468, 1116, 5121, 616, 513, 3532, 1907, 585, 16762, 9781, 543, 723, 1082, 3156, 538, 4610, 971, 607, 2780, 5075, 267, 2067, 1893, 4393, 267, 543, 4633, 6284, 269, 2060, 713, 1702, 267, 596, 2811, 1631, 9280, 547, 1628, 707, 1378, 8849, 5121, 543, 2263, 741, 7207, 2417, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 12690, 20120, 263, 275, 267, 274, 994, 9064, 273, 284, 12639, 20179, 20120, 263, 274, 267, 274, 994, 9064, 274, 284, 12639, 20179, 20120, 263, 274, 267, 274, 9239, 258, 769, 314, 1015, 28660, 692, 10401, 284, 271, 269, 4962, 3248, 311, 318, 8681, 284, 12639, 20179, 20120, 263, 272, 267, 279, 994, 312, 318, 8681, 284, 12639, 20179, 20120, 263, 272, 267, 272, 994, 312, 318, 8681, 284, 12639, 269, 1037, 263, 312, 318, 8681, 2020, 1721, 795, 538, 2039, 263, 1911, 271, 2187, 476, 524, 339, 284, 271, 454, 476, 585, 1775, 538, 2039, 3287, 17601, 17482, 314, 271, 316, 2187, 825, 23940, 272, 267, 9064, 273, 267, 9064, 274, 267, 6523, 267, 1998, 284, 335, 1886, 3287, 17601, 5157, 4940, 31412, 9230, 275, 267, 272, 24270, 344, 17601, 5157, 4940, 31412, 263, 274, 267, 272, 1070, 9064, 274, 267, 9064, 273, 267, 9064, 272, 267, 10401, 994, 825, 524, 339, 23785, 6523, 567, 692, 28744, 2891, 29806, 1942, 2433, 2580, 551, 270, 311, 17482, 314, 271, 316, 9239, 258, 769, 314, 1556, 28660, 454, 258, 14818, 532, 593, 1449, 1305, 454, 551, 284, 271, 454, 753, 17342, 2639, 1721, 1775, 538, 2039, 3287, 15305, 17482, 314, 271, 316, 2187, 8587, 620, 272, 284, 12639, 31715, 263, 9064, 272, 11053, 21726, 15305, 5157, 4940, 31412, 9230, 275, 267, 272, 21875, 8587, 620, 272, 284, 338, 31451, 263, 531, 272, 994, 8587, 620, 273, 284, 12639, 31715, 263, 9064, 273, 11053, 267, 531, 272, 994, 8587, 620, 273, 284, 338, 31451, 263, 531, 273, 994, 8587, 3977, 284, 12639, 31715, 263, 9064, 274, 11053, 267, 531, 273, 994, 8587, 3977, 284, 338, 31451, 263, 16059, 994, 8587, 1948, 2745, 18828, 269, 1037, 263, 16059, 1040, 1173, 10946, 15405, 8587, 20735, 6910, 18828, 269, 842, 18828, 269, 1037, 263, 16059, 1040, 1173, 10946, 3890, 4917, 8587, 1948, 2745, 263, 16059, 994, 16557, 284, 271, 454, 1721, 1775, 538, 2039, 12169, 15305, 17482, 314, 271, 316, 2187, 476, 952, 586, 15305, 5157, 6012, 753, 5157, 14963, 2525, 272, 912, 825, 6060, 284, 16557, 266, 272, 454, 2745, 2891, 16914, 5596, 281, 14307, 16557, 30819, 15305, 17482, 314, 271, 30297, 1911, 269, 271, 2437, 260, 5602, 825, 454, 3097, 22322, 22322, 567, 7531, 258, 769, 314, 9948, 1384, 19638, 258, 769, 314, 9948, 1384, 19638, 258, 769, 314, 9948, 1384, 19638, 258, 769, 314, 9948, 912, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 27671, 26281, 11714, 16068, 16648, 9841, 3264, 7549, 16021, 1073, 329, 780, 1038, 1488, 7714, 912, 2018, 1073, 329, 281, 2843, 508, 16648, 9841, 3264, 7549, 4344, 267, 11012, 17095, 30324, 18775, 9924, 9261, 29824, 13833, 21268, 9326, 20046, 31502, 11012, 4344, 17201, 7549, 4709, 13833, 23845, 3264, 563, 1038, 16849, 912, 2018, 31560, 5284, 371, 8563, 13077, 27569, 3522, 20046, 6936, 11714, 11012, 6459, 7846, 10948, 3522, 3264, 11012, 4344, 17201, 7549, 4709, 13833, 23845, 9326, 20413, 9326, 10948, 3522, 15800, 16044, 484, 3264, 20434, 269, 31560, 29824, 3378, 28821, 8563, 4709, 21134, 11012, 6459, 7846, 10948, 3522, 3264, 11714, 5284, 371, 8563, 13077, 27569, 3522, 20046, 8771, 563, 1038, 8173, 1038, 952, 630, 1345, 11859, 268, 28128, 11859, 264, 1262, 273, 23444, 1345, 13885, 268, 28128, 13885, 264, 1262, 273, 10922, 630, 1345, 25331, 266, 28128, 25331, 264, 1262, 273, 912, 2018, 2132, 6936, 454, 1038, 3116, 912, 2018, 2132, 8771, 7531, 5035, 25511, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 5496, 2187, 1038, 1582, 4732, 10547, 815, 5496, 454, 1038, 1582, 8807, 273, 7272, 1077, 815, 476, 1015, 454, 1038, 1582, 8807, 273, 318, 517, 815, 476, 271, 454, 1038, 1582, 269, 534, 815, 476, 272, 454, 1038, 1582, 269, 10233, 815, 24321, 312, 692, 1038, 1582, 11859, 815, 476, 2412, 454, 1038, 1582, 13885, 815, 476, 14596, 692, 825, 1219, 3595, 273, 318, 11034, 4311, 267, 2680, 2187, 1038, 1582, 8807, 273, 318, 517, 815, 476, 272, 692, 825, 1219, 3595, 273, 318, 754, 4311, 267, 2680, 2187, 1038, 5727, 29551, 9924, 13150, 16417, 6459, 20413, 9326, 10948, 21134, 780, 1038, 2843, 509, 4814, 3378, 25986, 17153, 19757, 4138, 4344, 10780, 23485, 16068, 4344, 10528, 7846, 4736, 18547, 17221, 4138, 17095, 4709, 5284, 379, 24012, 20413, 9924, 20732, 4138, 563, 1038, 2843, 507, 3522, 10948, 3522, 23783, 21162, 3264, 23970, 20265, 10948, 23845, 9326, 17095, 21134, 10528, 32648, 12811, 4344, 11012, 7549, 18775, 3378, 13150, 4138, 20413, 9326, 10948, 3522, 642, 343, 15800, 642, 344, 30935, 8563, 25986, 9326, 4344, 16068, 4344, 10780, 17201, 5284, 370, 23845, 9326, 20413, 9924, 20732, 4138, 563, 1038, 8173, 1038, 2518, 11084, 267, 16886, 454, 1038, 16886, 6834, 476, 272, 454, 1038, 1007, 318, 4252, 815, 11831, 4311, 4732, 10547, 994, 1038, 1007, 318, 4252, 25331, 6834, 476, 276, 454, 1038, 1582, 269, 534, 815, 2979, 269, 27979, 273, 18692, 2018, 630, 324, 1203, 269, 1842, 314, 272, 316, 268, 2908, 318, 4252, 13885, 1070, 630, 324, 1203, 269, 1842, 314, 271, 316, 268, 2908, 318, 4252, 11859, 4917, 1038, 1007, 318, 4252, 18192, 343, 815, 1582, 8807, 273, 7272, 1077, 2608, 2979, 269, 6523, 4311, 269, 534, 8358, 273, 454, 1038, 1007, 318, 4252, 269, 11803, 815, 910, 1582, 8807, 273, 7272, 1077, 2608, 2979, 4732, 514, 4311, 269, 534, 8358, 273, 454, 1038, 11084, 6910, 28956, 318, 4252, 994, 1038, 1582, 8807, 273, 318, 517, 815, 476, 271, 454, 1038, 1582, 8807, 273, 7272, 1077, 815, 476, 1015, 692, 825, 1219, 3077, 1154, 4311, 267, 2680, 2187, 1038, 5727, 396, 509, 23485, 20500, 3264, 20434, 27593, 17221, 3264, 269, 2843, 501, 3522, 8563, 25986, 4138, 4344, 16068, 4344, 10780, 17201, 5284, 370, 23845, 9326, 20413, 9924, 20732, 4138, 27969, 454, 1038, 952, 2680, 912, 2018, 952, 16216, 1203, 269, 1842, 314, 271, 316, 268, 736, 2187, 3546, 1582, 269, 534, 815, 2979, 269, 27979, 9230, 324, 1203, 269, 1842, 314, 272, 316, 268, 14596, 264, 1315, 630, 324, 1203, 269, 1842, 314, 271, 316, 268, 736, 4917, 1038, 952, 1582, 8807, 273, 318, 517, 912, 2018, 1582, 269, 10233, 815, 681, 3633, 454, 1038, 3116, 912, 2018, 1582, 269, 10233, 815, 24321, 312, 692, 825, 1219, 2721, 4311, 2187, 1038, 5727, 31162, 325, 815, 27368, 2529, 16577, 9230, 1345, 8807, 273, 7272, 1077, 266, 736, 267, 476, 1015, 26895, 935, 3200, 318, 10401, 4590, 1038, 17774, 8807, 650, 263, 15045, 3198, 9915, 2752, 7728, 994, 1038, 6439, 4433, 584, 325, 267, 1582, 269, 10233, 267, 630, 271, 267, 476, 271, 267, 1345, 8807, 273, 7272, 1077, 266, 736, 267, 1015, 4917, 1038, 27368, 2529, 16577, 269, 4565, 527, 4311, 4732, 10547, 267, 27368, 6745, 4920, 845, 269, 8527, 622, 4433, 584, 325, 267, 910, 1345, 269, 534, 1070, 630, 1345, 11859, 267, 1582, 13885, 4297, 20701, 1038, 1948, 1467, 4311, 4732, 10547, 267, 1582, 269, 10233, 267, 630, 1345, 11859, 267, 1345, 13885, 1070, 630, 1345, 11859, 23444, 1345, 8807, 273, 7272, 1077, 266, 736, 12684, 4118, 269, 6523, 4311, 269, 534, 1070, 1345, 13885, 23444, 1345, 8807, 273, 7272, 1077, 266, 736, 12684, 4118, 4732, 514, 4311, 269, 534, 24270, 8700, 284, 1015, 994, 1038, 8700, 815, 476, 1015, 454, 1038, 1071, 3581, 815, 1496, 454, 2018, 630, 1345, 11859, 267, 1582, 13885, 13211, 2018, 630, 1345, 11859, 23444, 1345, 8807, 273, 7272, 1077, 266, 736, 12684, 4118, 269, 6523, 4311, 269, 534, 13211, 17264, 1582, 13885, 23444, 1345, 8807, 273, 7272, 1077, 266, 736, 12684, 4118, 4732, 514, 4311, 269, 534, 264, 13211, 2018, 630, 1345, 11859, 23444, 1345, 8807, 273, 7272, 1077, 266, 736, 12684, 4118, 269, 6523, 4311, 269, 534, 11924, 12296, 265, 4118, 4732, 514, 4311, 269, 534, 13211, 17264, 1582, 13885, 23444, 1345, 8807, 273, 7272, 1077, 266, 736, 12684, 4118, 4732, 514, 4311, 269, 534, 9984, 12296, 265, 4118, 269, 6523, 4311, 269, 534, 264, 13211, 2018, 630, 1345, 11859, 266, 12296, 265, 4118, 4732, 514, 4311, 269, 534, 1070, 1582, 13885, 2914, 5954, 265, 4118, 269, 6523, 4311, 269, 534, 4917, 1038, 476, 6540, 1038, 20372, 4311, 4732, 10547, 267, 1582, 269, 10233, 267, 630, 1723, 3581, 1070, 8700, 284, 271, 2020, 825, 1219, 1379, 318, 1575, 4311, 2187, 1038, 952, 1582, 8807, 273, 318, 517, 912, 2018, 952, 1582, 8807, 273, 7272, 1077, 2999, 476, 1911, 912, 3546, 1582, 8807, 273, 7272, 1077, 6834, 476, 272, 454, 2018, 1582, 269, 10233, 815, 681, 3633, 454, 1038, 3116, 912, 2018, 1582, 269, 10233, 815, 24321, 312, 7531, 5035, 27010, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1826, 284, 272, 2187, 1038, 5727, 2843, 502, 17221, 30530, 3522, 20434, 13194, 3522, 30530, 9326, 14359, 13833, 26281, 16044, 484, 3264, 20434, 269, 8173, 1038, 1582, 11859, 815, 678, 526, 263, 7785, 267, 476, 278, 3199, 994, 1038, 1582, 13885, 815, 678, 526, 263, 4968, 267, 476, 20862, 994, 1038, 1582, 25331, 815, 678, 526, 263, 1428, 267, 476, 2004, 994, 1038, 1582, 18192, 343, 284, 337, 526, 8987, 278, 267, 476, 278, 994, 1038, 1582, 269, 11803, 284, 337, 526, 8987, 278, 267, 476, 278, 994, 1038, 1582, 269, 10233, 815, 717, 28719, 318, 4596, 299, 27633, 314, 337, 526, 263, 271, 267, 276, 22708, 1038, 1582, 7456, 633, 284, 6943, 454, 1038, 1582, 269, 6943, 284, 6943, 692, 825, 1219, 5734, 4311, 267, 1448, 284, 272, 2187, 1038, 5727, 396, 509, 5284, 379, 3522, 28027, 17221, 3264, 16044, 486, 3522, 23485, 18547, 11714, 16044, 484, 3264, 23783, 27969, 454, 1038, 1582, 7456, 633, 20699, 476, 272, 454, 1038, 2518, 2798, 454, 1038, 2798, 6834, 1448, 692, 825, 1219, 2721, 4311, 2187, 1038, 952, 4311, 269, 6943, 2525, 272, 2187, 2018, 27368, 6155, 3863, 6983, 22511, 18692, 3546, 5496, 2676, 3546, 1582, 269, 10233, 2676, 3546, 630, 1345, 11859, 267, 1582, 13885, 13211, 3546, 1582, 25331, 454, 2018, 12467, 2018, 27368, 6155, 3863, 6983, 22511, 18692, 3546, 5496, 2676, 3546, 19154, 19272, 2676, 3546, 630, 1345, 11859, 267, 1582, 13885, 13211, 3546, 1582, 25331, 2676, 3546, 8700, 284, 272, 454, 2018, 12467, 1038, 8640, 1582, 269, 6943, 2652, 476, 273, 912, 2018, 27368, 6155, 3863, 269, 5550, 18692, 3546, 5496, 2676, 3546, 1582, 269, 10233, 2676, 3546, 630, 1345, 11859, 268, 1345, 25331, 267, 1582, 13885, 268, 1345, 25331, 267, 1582, 25331, 265, 273, 267, 1345, 25331, 265, 273, 994, 2018, 12467, 2018, 27368, 6155, 3863, 269, 5550, 18692, 3546, 5496, 2676, 3546, 19154, 19272, 2676, 3546, 630, 1345, 11859, 268, 1345, 25331, 267, 1582, 13885, 268, 1345, 25331, 267, 1582, 25331, 265, 273, 267, 1345, 25331, 265, 273, 13211, 3546, 8700, 284, 272, 454, 2018, 25589, 825, 1219, 1847, 4311, 2187, 1038, 5727, 10528, 3264, 16417, 9261, 3264, 27569, 3522, 20046, 11012, 3264, 16648, 9326, 23970, 20265, 10948, 23845, 3264, 11012, 7549, 18775, 3378, 13150, 4138, 12163, 1038, 1582, 11859, 6834, 1582, 18192, 343, 454, 1038, 1582, 13885, 6834, 1582, 269, 11803, 7531, 3698, 2721, 16557, 10031, 825, 5727, 8563, 9924, 8563, 19757, 16068, 10948, 7549, 13833, 21660, 16044, 491, 7549, 13077, 4709, 12163, 825, 535, 272, 815, 27368, 8807, 2632, 12171, 2632, 263, 14085, 267, 476, 3607, 994, 825, 512, 4565, 815, 1412, 9557, 281, 1412, 454, 825, 512, 4565, 6834, 1193, 263, 9557, 994, 825, 1257, 272, 815, 535, 272, 18622, 837, 6025, 4565, 267, 6936, 267, 19154, 19272, 994, 825, 5496, 269, 4565, 527, 29495, 272, 267, 630, 1015, 267, 476, 1015, 264, 9239, 3698, 1397, 3667, 10031, 825, 535, 272, 815, 27368, 8807, 2632, 12171, 2632, 263, 14085, 267, 476, 3607, 994, 825, 512, 4565, 815, 1412, 8563, 9924, 27188, 17221, 10948, 4344, 5284, 370, 4138, 20434, 16044, 484, 3264, 23783, 30935, 1412, 454, 825, 512, 4565, 6834, 1193, 6357, 592, 7410, 6011, 994, 825, 512, 4565, 6834, 1412, 11714, 9924, 13150, 16417, 6459, 13833, 7055, 825, 1257, 272, 815, 535, 272, 18622, 837, 6025, 4565, 267, 6936, 267, 19154, 19272, 994, 825, 5496, 269, 4565, 527, 29495, 272, 267, 630, 5197, 267, 476, 7742, 264, 9239, 3698, 16580, 263, 28128, 2187, 825, 5727, 32553, 7846, 4709, 7549, 30530, 9326, 17095, 17201, 20434, 13194, 4138, 4138, 267, 10780, 17201, 7846, 10948, 3522, 20046, 16068, 16648, 397, 488, 3264, 7549, 4344, 15800, 10780, 23485, 11012, 4344, 17201, 7549, 4709, 13833, 23845, 4138, 16068, 4344, 13077, 21833, 3522, 20046, 31128, 15671, 3378, 16068, 4344, 11012, 4344, 12811, 692, 825, 2473, 20129, 267, 962, 20129, 910, 28314, 13077, 17221, 20500, 9924, 16044, 491, 7549, 13077, 20265, 267, 30935, 28027, 21162, 11714, 4709, 3264, 16044, 482, 7846, 4709, 7549, 30530, 4138, 692, 825, 8173, 825, 952, 263, 28128, 11859, 1341, 1073, 329, 25331, 3436, 654, 2839, 8025, 2187, 1038, 1073, 329, 18192, 343, 2608, 284, 910, 272, 454, 1038, 1073, 329, 11859, 815, 654, 2839, 8025, 268, 28128, 25331, 454, 825, 8640, 263, 28128, 11859, 910, 1073, 329, 25331, 2999, 476, 271, 2187, 1038, 1073, 329, 18192, 343, 2608, 284, 910, 272, 454, 1038, 1073, 329, 11859, 815, 1073, 329, 25331, 454, 825, 8640, 263, 28128, 13885, 910, 1073, 329, 25331, 2999, 476, 271, 2187, 1038, 1073, 329, 269, 11803, 2608, 284, 910, 272, 454, 1038, 1073, 329, 13885, 815, 1073, 329, 25331, 454, 825, 8640, 263, 28128, 13885, 1341, 1073, 329, 25331, 3436, 16777, 20846, 2187, 1038, 1073, 329, 269, 11803, 2608, 284, 910, 272, 454, 1038, 1073, 329, 13885, 815, 16777, 20846, 268, 28128, 25331, 7531, 6853, 18524, 269, 8181, 4590, 31653, 815, 27368, 269, 5891, 15630, 8548, 1712, 9230, 310, 2839, 8025, 267, 16777, 20846, 4917, 12712, 2280, 815, 476, 271, 454, 12712, 7410, 6011, 284, 271, 454, 27750, 815, 11713, 9557, 815, 476, 271, 692, 22018, 815, 27368, 28333, 269, 5141, 1442, 4590, 30516, 815, 25511, 4433, 10547, 994, 339, 13759, 272, 815, 27010, 263, 272, 994, 339, 13759, 273, 815, 27010, 263, 273, 994, 21129, 1639, 815, 8771, 692, 4777, 318, 19651, 3667, 284, 271, 454, 335, 1021, 815, 8771, 692, 6112, 711, 8737, 912, 825, 5496, 8807, 650, 263, 20062, 25492, 994, 825, 7784, 6155, 3863, 4590, 825, 3077, 272, 6155, 3863, 4590, 825, 3077, 273, 6155, 3863, 4590, 825, 585, 536, 538, 11084, 912, 1038, 536, 6155, 3863, 4590, 825, 2721, 16557, 4590, 825, 23249, 25716, 454, 825, 952, 263, 4777, 318, 19651, 3667, 3436, 476, 271, 2187, 1038, 1397, 3667, 4590, 1038, 798, 318, 19651, 3667, 268, 284, 272, 454, 1038, 23249, 18989, 454, 825, 27368, 269, 5891, 269, 26303, 10797, 825, 9219, 6745, 1157, 263, 293, 4916, 994, 825, 585, 2680, 538, 27368, 4318, 1203, 10947, 10031, 1038, 952, 2680, 269, 6943, 2652, 27368, 269, 12702, 3951, 912, 2018, 8737, 815, 6936, 454, 1038, 8640, 2680, 269, 6943, 2652, 27368, 8160, 302, 27516, 289, 7473, 307, 31631, 32052, 912, 2018, 952, 263, 2254, 23249, 2187, 3546, 7784, 8807, 790, 273, 318, 11034, 16216, 1203, 994, 1038, 8640, 2680, 269, 6943, 2652, 27368, 8160, 302, 27516, 289, 7473, 307, 2177, 16810, 912, 2018, 952, 263, 2254, 23249, 2187, 3546 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 972, 729, 1100, 8122, 269, 898, 729, 1100, 1747, 585, 721, 267, 543, 649, 1500, 513, 21686, 547, 519, 12062, 543, 3106, 3034, 288, 18797, 1453, 538, 513, 7404, 3781, 21543, 23012, 609, 5634, 11912, 267, 855, 519, 2679, 1985, 7450, 729, 24609, 539, 563, 1607, 1474, 3691, 8666, 2982, 519, 9729, 324, 613, 540, 7952, 6472, 2921, 1025, 6308, 9601, 689, 16170, 5112, 10003, 543, 9697, 1729, 7615, 1524, 7256, 1721, 628, 10003, 547, 519, 27076, 30895, 593, 2904, 476, 273, 476, 3707, 274, 563, 288, 828, 18484, 2103, 20898, 519, 10754, 538, 14980, 24744, 547, 519, 476, 7176, 19742, 2112, 4666, 267, 1082, 540, 7247, 829, 1639, 538, 741, 1378, 5321, 538, 835, 540, 519, 4158, 652, 17334, 538, 519, 2749, 779, 1686, 269, 0, 6097, 547, 9699, 6138, 267, 546, 327, 12609, 4564, 1931, 609, 4031, 547, 1827, 5137, 269, 898, 568, 811, 982, 1175, 513, 1305, 540, 4031, 540, 6323, 282, 621, 568, 3909, 543, 5837, 4031, 602, 12622, 721, 538, 10103, 609, 602, 1931, 269, 20144, 12609, 607, 519, 7690, 540, 5020, 769, 18420, 267, 4984, 630, 323, 327, 12609, 264, 7506, 519, 1259, 1004, 2661, 543, 2070, 2933, 563, 763, 2243, 540, 5837, 13800, 540, 1346, 2673, 543, 1634, 547, 721, 568, 711, 607, 16609, 547, 803, 269, 1703, 3100, 547, 581, 2312, 5837, 13800, 547, 1346, 2673, 547, 721, 12082, 538, 930, 4990, 540, 5837, 4579, 1141, 594, 32380, 4283, 883, 2078, 609, 1004, 609, 513, 811, 610, 1447, 6956, 1305, 540, 8994, 6788, 563, 6097, 547, 23006, 779, 8226, 540, 5837, 10279, 267, 713, 7613, 568, 2556, 547, 1865, 689, 1312, 3344, 281, 689, 519, 1448, 540, 2070, 602, 5837, 10279, 568, 606, 2962, 543, 602, 5837, 10279, 568, 513, 14953, 269, 23006, 11225, 5837, 10279, 607, 513, 13766, 540, 2962, 3361, 676, 2463, 547, 519, 1876, 269, 23006, 5784, 621, 607, 606, 2962, 602, 835, 568, 8078, 539, 547, 23491, 563, 10527, 597, 5837, 5813, 729, 602, 267, 607, 16962, 2322, 621, 267, 2048, 763, 2136, 2276, 729, 519, 1158, 779, 1655, 4126, 16224, 892, 2725, 778, 600, 1767, 269, 968, 5445, 13991, 741, 2729, 547, 2870, 267, 8497, 543, 7863, 513, 4182, 15581, 538, 799, 519, 16431, 540, 519, 7169, 1223, 1491, 741, 1796, 538, 519, 1279, 1686, 540, 519, 1158, 563, 4942, 3342, 14279, 593, 519, 824, 1688, 267, 8044, 602, 7787, 7919, 723, 5837, 11645, 267, 789, 1118, 513, 3903, 547, 2901, 11886, 891, 5837, 11645, 610, 23304, 731, 873, 269, 1358, 723, 513, 5837, 5539, 547, 11886, 741, 13800, 269, 667, 14280, 568, 2938, 607, 519, 3210, 547, 606, 1367, 781, 13800, 563, 257, 18661, 1862, 814, 4646, 721, 5837, 8069, 1862, 602, 649, 949, 3895, 519, 8788, 540, 1346, 609, 7247, 1261, 814, 5116, 721, 538, 2486, 267, 676, 9117, 25473, 2509, 782, 267, 1649, 5271, 565, 1836, 547, 1346, 945, 2887, 1369, 938, 1259, 267, 18245, 10723, 569, 741, 2924, 267, 15629, 543, 2790, 267, 543, 10027, 5109, 2523, 741, 5191, 540, 25903, 267, 607, 649, 1871, 938, 1378, 4799, 11321, 476, 2918, 267, 476, 1001, 280, 5788, 634, 5837, 1876, 546, 1054, 585, 2479, 12622, 782, 267, 607, 1134, 20582, 7606, 607, 1866, 267, 547, 519, 24150, 23476, 267, 543, 602, 711, 1152, 538, 2543, 540, 519, 2339, 8659, 538, 621, 267, 855, 849, 538, 2463, 540, 519, 6392, 540, 2696, 519, 29763, 267, 945, 5795, 621, 282, 9444, 546, 1054, 2441, 538, 519, 20227, 1022, 1259, 23271, 267, 855, 1454, 7794, 713, 17185, 563, 763, 4128, 585, 1073, 324, 3539, 513, 5837, 10279, 616, 11613, 1114, 269, 1280, 1383, 267, 621, 949, 581, 513, 1915, 20671, 3815, 602, 729, 4646, 538, 6689, 269, 6271, 2601, 568, 519, 3804, 547, 3715, 1434, 1894, 609, 1004, 538, 1931, 547, 1265, 6325, 2828, 610, 4891, 538, 519, 2104, 563, 300, 7394, 11645, 616, 1346, 13800, 799, 649, 1058, 7747, 855, 649, 616, 711, 16155, 3808, 547, 7747, 873, 269, 898, 568, 938, 5837, 10279, 602, 649, 1058, 4196, 938, 3237, 267, 3610, 267, 14552, 543, 19946, 543, 519, 14077, 269, 898, 568, 519, 5837, 10279, 540, 1169, 835, 602, 646, 1058, 22937, 513, 4543, 1688, 547, 519, 4057, 543, 1524, 2389, 16967, 6577, 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 ]
[ 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 5992, 1012, 4351, 5609, 6446, 694, 678, 339, 788, 11939, 17485, 6746, 657, 562, 684, 8619, 563, 1012, 524, 1495, 334, 694, 1035, 629, 534, 17485, 562, 14243, 1067, 657, 2291, 550, 525, 9042, 780, 5228, 4351, 1104, 28219, 842, 454, 5814, 15259, 454, 657, 269, 17882, 2891, 27234, 15419, 1012, 30458, 536, 29716, 546, 27475, 694, 32318, 611, 597, 534, 17485, 562, 14243, 1067, 657, 454, 2993, 17342, 6540, 6112, 6936, 912, 453, 11133, 815, 28219, 842, 263, 271, 267, 2004, 264, 453, 453, 258, 1212, 320, 562, 14243, 1067, 657, 454, 28768, 14851, 7003, 263, 2993, 264, 2652, 476, 2004, 2433, 11434, 12361, 7003, 2512, 320, 24140, 656, 657, 562, 14243, 1067, 657, 18720, 679, 3288, 30458, 454, 453, 13537, 834, 15680, 597, 257, 453, 453, 258, 23313, 18720, 476, 277, 679, 3288, 30458, 9042, 1642, 536, 16197, 454, 453, 453, 19874, 454, 14851, 711, 1003, 538, 15073, 2433, 453, 453, 2162, 13961, 1100, 2291, 324, 562, 14243, 1067, 334, 679, 3288, 30458, 1303, 571, 563, 453, 13537, 1003, 4848, 453, 258, 18665, 652, 571, 562, 14243, 1067, 334, 454, 453, 453, 2993, 27044, 263, 272, 267, 11133, 264, 453, 258, 3138, 513, 10722, 1228, 679, 3288, 30458, 454, 453, 13537, 15073, 4848, 453, 258, 18665, 652, 571, 3288, 30458, 454, 20930, 4848, 453, 258, 586, 642, 3241, 557, 513, 900, 19649, 541, 1714, 536, 16197, 563, 28768, 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 5814, 15259, 454, 657, 269, 17882, 3488, 27234, 17210, 2181, 857, 334, 815, 3403, 2891, 11900, 9508, 1714, 840, 857, 334, 1642, 1587, 334, 281, 19515, 19734, 3266, 815, 3403, 2891, 290, 340, 27053, 533, 698, 553, 281, 19515, 322, 3711, 1470, 284, 7188, 3266, 910, 840, 857, 334, 454, 321, 4335, 284, 271, 454, 321, 1220, 284, 271, 454, 321, 1911, 284, 271, 454, 321, 2004, 284, 271, 454, 321, 736, 284, 271, 454, 321, 1015, 284, 271, 454, 321, 276, 284, 271, 454, 321, 273, 284, 271, 454, 321, 272, 284, 271, 454, 2745, 834, 290, 3711, 1470, 1965, 2580, 322, 3711, 1470, 692, 15680, 597, 815, 8771, 454, 6112, 2892, 597, 2652, 8771, 1384, 14851, 840, 857, 334, 3436, 7188, 3266, 912, 453, 13537, 834, 291, 514, 3266, 1202, 18860, 17087, 324, 4840, 453, 453, 15680, 597, 284, 6936, 454, 453, 19197, 524, 3711, 1470, 13843, 476, 4335, 912, 453, 453, 321, 4335, 284, 321, 4335, 266, 272, 454, 453, 453, 322, 3711, 1470, 284, 322, 3711, 1470, 268, 275, 4200, 454, 453, 19197, 524, 3711, 1470, 2999, 476, 4335, 543, 524, 3711, 1470, 13843, 476, 1220, 912, 453, 453, 321, 1220, 284, 321, 1220, 266, 272, 454, 453, 453, 322, 3711, 1470, 284, 322, 3711, 1470, 268, 1960, 454, 453, 19197, 524, 3711, 1470, 2999, 476, 1220, 543, 524, 3711, 1470, 13843, 476, 1911, 912, 453, 453, 321, 1911, 284, 321, 1911, 266, 272, 454, 453, 453, 322, 3711, 1470, 284, 322, 3711, 1470, 268, 4200, 454, 453, 19197, 524, 3711, 1470, 2999, 476, 1911, 543, 524, 3711, 1470, 13843, 476, 2004, 912, 453, 453, 321, 2004, 284, 321, 2004, 266, 272, 454, 453, 453, 322, 3711, 1470, 284, 322, 3711, 1470, 268, 5392, 454, 453, 19197, 524, 3711, 1470, 2999, 476, 1911, 543, 524, 3711, 1470, 13843, 476, 736, 912, 453, 453, 321, 736, 284, 321, 736, 266, 272, 454, 453, 453, 322, 3711, 1470, 284, 322, 3711, 1470, 268, 866, 454, 453, 19197, 524, 3711, 1470, 2999, 476, 736, 543, 524, 3711, 1470, 13843, 476, 1015, 912, 453, 453, 321, 1015, 284, 321, 1015, 266, 272, 454, 453, 453, 322, 3711, 1470, 284, 322, 3711, 1470, 268, 280, 454, 453, 19197, 524, 3711, 1470, 2999, 476, 1015, 543, 524, 3711, 1470, 13843, 476, 276, 912, 453, 453, 321, 276, 284, 321, 276, 266, 272, 454, 453, 453, 322, 3711, 1470, 284, 322, 3711, 1470, 268, 275, 454, 453, 19197, 524, 3711, 1470, 2999, 476, 276, 543, 524, 3711, 1470, 13843, 476, 273, 912, 453, 453, 321, 273, 284, 321, 273, 266, 272, 454, 453, 453, 322, 3711, 1470, 284, 322, 3711, 1470, 268, 272, 454, 453, 19197, 524, 3711, 1470, 2999, 476, 273, 543, 524, 3711, 1470, 13843, 476, 272, 912, 453, 453, 321, 272, 284, 321, 272, 266, 272, 454, 453, 19197, 524, 3711, 1470, 2999, 476, 271, 912, 453, 13537, 834, 321, 32576, 525, 632, 476, 4335, 24333, 321, 4335, 3097, 453, 13537, 834, 321, 32576, 525, 632, 476, 1220, 24333, 321, 1220, 454, 453, 13537, 834, 321, 32576, 525, 632, 476, 1911, 24333, 321, 1911, 454, 453, 13537, 834, 321, 32576, 525, 632, 476, 2004, 24333, 321, 2004, 454, 453, 13537, 834, 321, 32576, 525, 632, 476, 736, 24333, 321, 736, 454, 453, 13537, 834, 321, 32576, 525, 632, 476, 1015, 24333, 321, 1015, 454, 453, 13537, 834, 321, 32576, 525, 632, 476, 276, 24333, 321, 276, 454, 453, 13537, 834, 3000, 539, 553, 632, 476, 273, 24333, 321, 273, 454, 453, 13537, 834, 3000, 539, 553, 632, 476, 272, 24333, 321, 272, 454, 453, 453, 15680, 597, 284, 6936, 454, 28768, 453, 322, 3711, 1470, 284, 524, 3711, 1470, 910, 272, 454, 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 258, 692, 3698, 11465, 24417, 24546, 263, 28649, 1470, 267, 325, 1400, 267, 27463, 618, 334, 2187, 28768, 14851, 538, 545, 1470, 10922, 3803, 10778, 453, 453, 6112, 538, 545, 1470, 10922, 3803, 10778, 4848, 453, 344, 1752, 538, 545, 1470, 454, 4848, 453, 28649, 1470, 815, 538, 545, 1470, 1341, 27261, 334, 454, 28432, 912, 453, 453, 6112, 538, 545, 1470, 13843, 3803, 10778, 4848, 453, 344, 1752, 538, 545, 1470, 454, 4848, 453, 28649, 1470, 815, 538, 545, 1470, 910, 27261, 334, 454, 4848, 454, 5992, 7462, 274, 454, 4848, 454, 1721, 2083, 320, 538, 11465, 24417, 24546, 263, 272, 267, 277, 267, 272, 2187, 22610, 897, 636, 3534, 538, 11465, 24417, 24546, 263, 272, 267, 276, 267, 272, 2187, 4848, 454, 453, 14851, 476, 630, 325, 10042, 2652, 476, 272, 543, 897, 636, 3534, 2652, 476, 274, 476, 2187, 4848, 13537, 834, 265, 20350, 4848, 454, 453, 453, 19197, 16733, 325, 10042, 2652, 476, 273, 543, 897, 636, 3534, 2652, 476, 274, 3738, 528, 454, 15235, 630, 2083, 320, 2652, 476, 274, 543, 630, 897, 636, 3534, 13843, 476, 273, 543, 897, 636, 3534, 10922, 476, 275, 3738, 264, 610, 454, 15235, 630, 2083, 320, 2652, 476, 275, 3738, 476, 2187, 15235, 1820, 834, 288, 20350, 4848, 454, 453, 453, 19197, 630, 897, 636, 3534, 2652, 476, 274, 476, 2187, 4848, 13537, 834, 301, 20350, 453, 28432, 912, 4848, 13537, 834, 834, 2676, 28768, 13537, 834, 27029, 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 5814, 15259, 454, 657, 269, 17882, 2891, 27234, 5602, 29953, 815, 15615, 263, 3403, 2891, 323, 6403, 553, 281, 27328, 8457, 284, 271, 454, 6996, 284, 271, 454, 572, 2006, 320, 284, 271, 454, 323, 5362, 284, 271, 692, 15680, 597, 815, 8771, 454, 6112, 2892, 597, 2652, 8771, 912, 28768, 14851, 546, 807, 13843, 476, 18458, 10778, 453, 453, 8457, 284, 606, 334, 266, 272, 454, 453, 453, 29953, 815, 546, 807, 268, 18458, 454, 4848, 454, 453, 19197, 546, 807, 13843, 476, 1789, 543, 546, 807, 2999, 476, 18458, 912, 453, 453, 6996, 284, 6996, 266, 272, 454, 453, 453, 29953, 284, 29953, 268, 1789, 269, 276, 454, 4848, 454, 453, 19197, 546, 807, 13843, 476, 278, 543, 546, 807, 2999, 476, 1789, 10778, 453, 453, 572, 2006, 320, 284, 572, 2006, 320, 266, 272, 454, 453, 453, 29953, 284, 29953, 268, 278, 269, 276, 454, 4848, 454, 453, 19197, 546, 807, 3436, 476, 271, 543, 546, 807, 2999, 476, 278, 10778, 453, 453, 323, 5362, 284, 323, 5362, 266, 272, 454, 453, 453, 29953, 815, 546, 807, 268, 272, 454, 4848, 454, 14851, 546, 807, 476, 10922, 476, 271, 912, 453, 453, 15680, 597, 815, 6936, 3097, 28768, 2745, 834, 4840, 2745, 834, 320, 10722, 657, 2580, 8457, 454, 2745, 834, 6996, 525, 2580, 6996, 454, 2745, 834, 572, 2006, 553, 2580, 572, 2006, 320, 454, 2745, 834, 323, 5362, 2580, 323, 5362, 454, 0, 258, 8206, 270, 23591, 24800, 270, 7090, 454, 258, 28605, 322, 5317, 281, 30016, 268, 279, 268, 265, 8894, 5814, 15259, 454, 657, 269, 17882, 3488, 27234, 262, 9239, 2745, 834, 297, 826, 2998, 632, 533, 4902, 21353, 281, 1422, 333, 19617, 3266, 2258, 520, 16343, 267, 1612, 586, 1303, 516, 910, 1015, 586, 476, 2412, 1422, 333, 4840, 12534, 815, 3403, 2891, 4504, 28558, 796, 562, 14243, 1067, 334, 281, 834, 9239, 604, 630, 9230, 12534, 4939, 273, 2525, 271, 543, 15254, 13843, 268, 1015, 264, 543, 15254, 10922, 476, 2412, 264, 543, 15254, 2999, 476, 271, 476, 2187, 13537, 834, 30812, 545, 18059, 2706, 3385, 27029, 12828, 912, 13537, 834, 292, 637, 796, 538, 583, 559, 642, 3241, 557, 513, 1612, 341, 592, 527, 657, 5016, 0, 5814, 14854, 607, 512, 454, 339, 4732, 32497, 263, 276, 994, 339, 4877, 839, 1125, 263, 279, 994, 339, 19544, 573, 564, 31103, 4590, 339, 4732, 920, 839, 1125, 263, 4335, 267, 4335, 14720, 326, 6889, 19009, 5602, 258, 419, 490, 360, 420, 482, 372, 454, 339, 8807, 650, 10233, 2891, 258, 876, 288, 272, 292, 279, 5602, 339, 269, 8218, 6958, 650, 4590, 339, 6983, 22511, 263, 6344, 994, 339, 269, 754, 6958, 650, 4590, 339, 4877, 839, 1125, 263, 274, 994, 339, 8807, 650, 10233, 2891, 19009, 5602, 339, 269, 8218, 6958, 650, 4590, 339, 6983, 22511, 263, 1911, 994, 339, 269, 754, 6958, 650, 4590, 339, 4877, 340, 4590, 339, 19544, 727, 4590, 339, 3052, 9369, 263, 271, 267, 16328, 994, 339, 4877, 323, 4590, 339, 4877, 839, 1125, 263, 275, 994, 339, 8807, 650, 10233, 2891, 258, 12788, 9826, 275, 5602, 339, 269, 8218, 6958, 650, 4590, 339, 6983, 22511, 263, 1240, 994, 339, 269, 754, 6958, 650, 4590, 339, 4877, 340, 4590, 339, 3052, 9369, 263, 278, 267, 14028, 994, 339, 4877, 839, 1125, 263, 273, 994, 339, 269, 10233, 2891, 19009, 14824, 19009, 5602, 339, 4877, 323, 4590, 339, 269, 8218, 6958, 650, 4590, 339, 6983, 22511, 263, 275, 994, 339, 269, 754, 6958, 650, 4590, 339, 4877, 340, 4590, 339, 3052, 9369, 8987, 1789, 267, 8182, 994, 339, 4877, 839, 1125, 263, 275, 994, 339, 4877, 323, 4590, 339, 269, 10233, 2891, 18872, 2580, 834, 19009, 5602, 339, 269, 8218, 6958, 650, 4590, 320, 815, 476, 271, 269, 275, 454, 1721, 1775, 538, 2039, 263, 6344, 2187, 825, 952, 476, 271, 10922, 1775, 2999, 476, 1789, 610, 476, 2568, 10922, 1775, 2999, 3445, 912, 1038, 513, 815, 513, 1341, 476, 271, 269, 5400, 454, 1038, 512, 269, 2741, 263, 274, 264, 1948, 26266, 355, 420, 377, 361, 274, 18021, 355, 454, 1038, 512, 8807, 323, 5416, 264, 1948, 12571, 495, 31176, 491, 420, 369, 364, 320, 7511, 27882, 354, 421, 499, 379, 454, 825, 3116, 912, 1038, 513, 815, 513, 910, 476, 271, 269, 5400, 454, 1038, 512, 269, 2741, 263, 274, 994, 1038, 512, 8807, 323, 5416, 994, 339, 269, 754, 6958, 650, 4590, 339, 4877, 340, 4590, 339, 3052, 9369, 263, 1789, 267, 8182, 994, 339, 4877, 839, 1125, 263, 275, 994, 339, 4877, 323, 4590, 339, 269, 10233, 2891, 18872, 14824, 19009, 5602, 339, 269, 8218, 6958, 650, 4590, 1721, 1775, 538, 2039, 263, 6344, 2187, 825, 952, 476, 271, 10922, 1775, 2999, 476, 1789, 610, 476, 2568, 10922, 1775, 2999, 3445, 912, 1038, 513, 815, 513, 1341, 476, 271, 269, 5400, 454, 1038, 512, 269, 2741, 263, 274, 264, 1948, 26266, 355, 420, 377, 361, 274, 18021, 355, 454, 1038, 512, 8807, 323, 5416, 264, 1948, 12571, 495, 31176, 491, 420, 369, 364, 320, 7511, 27882, 354, 421, 499, 379, 454, 825, 3116, 912, 1038, 513, 815, 513, 910, 476, 271, 269, 5400, 454, 1038, 512, 269, 2741, 263, 274, 994, 1038, 512, 8807, 323, 5416, 994, 339, 269, 754, 6958, 650, 4590, 339, 4877, 340, 4590, 339, 3052, 9369, 8987, 4343, 267, 5002, 994, 339, 4877, 839, 1125, 263, 279, 994, 339, 4877, 323, 4590, 339, 16192, 8987, 1789 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2594, 269, 808, 269, 29725, 269, 476, 1626, 267, 476, 18458, 271, 1700, 3607, 277, 275, 630, 1220, 274, 1916, 1320, 15106, 267, 667, 269, 1299, 28615, 267, 808, 269, 631, 269, 634, 11848, 744, 12965, 566, 15040, 538, 519, 5162, 5503, 2520, 18821, 1113, 4463, 543, 2837, 4610, 269, 2983, 19398, 269, 1763, 269, 32731, 269, 476, 1839, 267, 476, 15782, 278, 1700, 9873, 271, 630, 1960, 279, 1916, 1103, 537, 324, 267, 808, 1421, 2037, 558, 9369, 267, 570, 1421, 631, 12011, 25493, 267, 570, 269, 1299, 26232, 2033, 267, 590, 269, 8177, 540, 7422, 689, 11848, 1743, 14823, 1207, 9081, 593, 519, 556, 534, 4519, 540, 2627, 4610, 269, 2983, 19398, 269, 1763, 269, 32731, 269, 476, 3607, 267, 700, 5400, 276, 4905, 630, 1220, 280, 1916, 22139, 267, 717, 269, 681, 1421, 13852, 267, 570, 269, 700, 1421, 595, 1695, 23750, 267, 681, 269, 674, 269, 1299, 7720, 1263, 267, 674, 269, 808, 269, 6341, 7204, 6959, 538, 519, 16759, 540, 12170, 26667, 3252, 269, 3933, 269, 16661, 4860, 269, 476, 8099, 267, 476, 277, 4200, 1700, 3583, 277, 630, 2735, 273, 1916, 291, 2465, 267, 667, 269, 623, 269, 1696, 620, 269, 634, 661, 6938, 268, 11328, 574, 556, 534, 4519, 281, 12122, 543, 2773, 540, 519, 1239, 21939, 1062, 269, 1627, 269, 808, 269, 681, 269, 25561, 565, 269, 17502, 269, 476, 15389, 267, 476, 4649, 274, 1700, 6795, 278, 630, 1001, 272, 1916, 313, 28702, 267, 2473, 269, 1696, 620, 269, 24046, 15393, 1189, 7509, 3560, 543, 519, 28659, 7187, 1164, 2000, 520, 3363, 6632, 1154, 7678, 269, 14844, 269, 29725, 269, 7827, 476, 274, 267, 476, 5325, 1700, 7906, 630, 1001, 274, 1916, 313, 28702, 267, 2473, 1421, 23037, 324, 6199, 267, 589, 1421, 18681, 267, 808, 1421, 15168, 9188, 267, 681, 269, 1299, 1290, 529, 334, 267, 808, 269, 595, 269, 10765, 9097, 10593, 540, 11626, 6933, 725, 543, 4028, 2242, 538, 11848, 2916, 1062, 269, 2983, 19398, 269, 1763, 269, 32731, 269, 476, 3374, 267, 700, 25375, 4905, 630, 1220, 279, 1916, 29409, 823, 267, 595, 269, 623, 1421, 17394, 267, 808, 269, 808, 1421, 14105, 1676, 267, 715, 269, 589, 269, 1299, 13643, 267, 623, 269, 667, 269, 10829, 4328, 24604, 538, 2518, 543, 6237, 2837, 1689, 1210, 606, 26254, 540, 22423, 9193, 281, 519, 16874, 10135, 7473, 275, 1239, 1305, 269, 808, 269, 2983, 19398, 269, 1763, 269, 476, 14056, 267, 667, 32146, 4905, 630, 1001, 273, 1916, 297, 2426, 267, 570, 269, 1696, 620, 269, 5917, 3496, 8701, 12605, 7207, 593, 3232, 547, 12119, 942, 10253, 269, 18409, 269, 589, 1067, 269, 25561, 269, 17502, 269, 476, 9032, 267, 476, 14321, 272, 1700, 13932, 278, 630, 1001, 277, 1916, 312, 600, 1794, 13403, 267, 589, 1421, 769, 537, 324, 267, 808, 1421, 667, 996, 331, 4752, 267, 918, 1421, 4223, 584, 650, 328, 267, 631, 269, 1299, 918, 7238, 333, 580, 6441, 836, 5979, 267, 717, 269, 8177, 540, 2234, 3930, 27475, 7422, 593, 20925, 4832, 5503, 11848, 7814, 821, 5250, 269, 808, 269, 2983, 19398, 269, 1763, 269, 2311, 21573, 269, 476, 6344, 267, 476, 27844, 280, 1700, 27628, 274, 630, 1001, 276, 1916, 306, 6737, 267, 918, 269, 1696, 620, 269, 20865, 23004, 540, 5162, 4365, 26037, 936, 4571, 26245, 6421, 609, 3063, 11848, 7422, 269, 808, 269, 2983, 19398, 269, 1763, 269, 744, 10895, 476, 14338, 267, 476, 278, 4037, 1700, 4281, 278, 630, 1001, 278, 1916, 295, 340, 836, 267, 645, 269, 962, 269, 1696, 620, 269, 27326, 18949, 539, 4262, 2627, 2837, 4528, 476, 275, 630, 8991, 4306, 18192, 275, 1040, 3487, 594, 281, 18175, 10232, 543, 954, 1260, 1706, 11143, 269, 808, 269, 29725, 269, 476, 2764, 267, 476, 26605, 1700, 280, 1789, 630, 1001, 276, 1916, 2171, 9684, 519, 2817, 7909, 4919, 543, 27321, 10029, 630, 17472, 8150, 264, 543, 519, 2817, 15544, 585, 7025, 6176, 630, 301, 4753, 296, 264, 585, 3246, 519, 8242, 2518, 2627, 2011, 2837, 10471, 282, 543, 519, 4139, 11848, 11370, 1195, 19510, 630, 296, 5723, 303, 264, 543, 519, 8331, 661, 5308, 1982, 21069, 16510, 693, 519, 7256, 17183, 630, 303, 5357, 2464, 264, 585, 1818, 2139, 519, 11848, 2837, 10471, 269, 7981, 7064, 849, 979, 547, 700, 269, 645, 1014, 543, 2473, 269, 1744, 7776, 585, 741, 8292, 593, 713, 1382, 269, 1284, 849, 9684, 519, 2048, 18439, 337, 476, 1911, 685, 12440, 1062, 540, 17578, 532, 327, 7699, 2817, 12524, 585, 6176, 3163, 543, 5303, 585, 19106, 1489, 269, 901, 960, 729, 6462, 676, 519, 3557, 6206, 4886, 5358, 585, 9978, 3194, 540, 3624, 630, 326, 7949, 1100, 269, 476, 1001, 274, 290, 10621, 26289, 4962, 1070, 676, 519, 2817, 3163, 7690, 585, 8479, 12207, 540, 3624, 630, 326, 7949, 1100, 269, 476, 31979, 30588, 7918, 1070, 519, 17578, 532, 327, 7699, 2160, 19541, 11660, 3194, 5358, 630, 326, 7949, 1100, 269, 476, 1001, 20542, 8660, 274, 6321, 264, 543, 676, 519, 3624, 25561, 1670, 10029, 7981, 5398, 28054, 3194, 8750, 630, 294, 312, 14176, 1001, 27420, 25171, 264, 607, 1134, 607, 519, 17578, 532, 327, 7699, 6820, 18623, 26665, 23050, 5358, 269, 2473, 269, 313, 269, 729, 6462, 676, 519, 2475, 22085, 293, 630, 326, 7949, 2338, 8121, 290, 268, 9083, 3374, 280, 273, 543, 8121, 290, 268, 8099, 16020, 280, 1916, 11045, 11915, 11872, 476, 272, 1700, 277, 267, 4675, 11915, 22955, 476, 272, 1700, 277, 267, 543, 4675, 11915, 23959, 476, 272, 1700, 274, 454, 10666, 713, 2376, 454, 26903, 18058, 630, 1001, 280, 994, 303, 6897, 10334, 630, 1001, 280, 994, 291, 3428, 923, 540, 15451, 2950, 543, 2910, 273, 543, 8863, 275, 13441, 525, 538, 519, 512, 1495, 571, 8134, 540, 519, 4657, 11848, 454, 22711, 540, 31814, 630, 1001, 280, 994, 22711, 540, 2983, 7240, 7070, 630, 1001, 280, 994, 27087, 4162, 540, 13247, 543, 2837, 538, 519, 1627, 27482, 15142, 543, 1261, 3495, 744, 12118, 267, 3345, 13523, 3624, 454, 20245, 3047, 7070, 630, 1001, 280, 264, 0, 22826, 9650, 338, 268, 4002, 31401, 593, 5082, 668, 24599, 1143, 538, 18520, 12140, 32719, 550, 22197, 24755, 5328, 6419, 28764, 454, 680, 520, 845, 540, 713, 11442, 568, 5258, 883, 3670, 2127, 10503, 3670, 1114, 454, 338, 15856, 725, 538, 513, 3014, 540, 11176, 281, 18176, 513, 3804, 267, 513, 15163, 14736, 267, 513, 454, 14585, 1676, 267, 513, 28067, 267, 513, 12235, 2987, 543, 1055, 20933, 269, 1703, 568, 513, 11275, 6456, 896, 454, 26421, 1858, 543, 972, 568, 849, 835, 538, 519, 3440, 269, 634, 5377, 15393, 540, 519, 454, 4252, 543, 519, 1283, 18635, 540, 519, 3760, 616, 540, 519, 1482, 1129, 269, 634, 3440, 454, 822, 6950, 16069, 1657, 1022, 540, 519, 2127, 563, 763, 5322, 540, 519, 3440, 936, 519, 22197, 568, 11613, 26093, 563, 15919, 596, 1205, 519, 12705, 602, 519, 3440, 568, 2469, 547, 3247, 1657, 454, 821, 540, 519, 2127, 267, 543, 602, 621, 568, 10393, 13631, 547, 1776, 1858, 563, 31628, 21154, 267, 621, 3112, 581, 2062, 16308, 1141, 519, 3440, 568, 2469, 547, 3247, 563, 10214, 513, 1507, 1689, 540, 519, 3355, 3440, 2990, 5012, 547, 513, 1114, 454, 14310, 267, 799, 568, 513, 8984, 4183, 540, 519, 26093, 3350, 563, 288, 1114, 4528, 540, 519, 6419, 28764, 269, 634, 3350, 540, 621, 454, 24119, 1742, 593, 1082, 2188, 267, 899, 519, 11508, 630, 527, 666, 581, 8476, 952, 519, 454, 12323, 4918, 568, 24760, 538, 513, 5277, 1070, 519, 8904, 3196, 630, 6518, 2242, 454, 1492, 3448, 4287, 952, 519, 7299, 17568, 540, 519, 28764, 454, 577, 5190, 1070, 519, 19788, 610, 1065, 2454, 3196, 540, 22197, 630, 18528, 5166, 454, 332, 1725, 1115, 723, 5594, 1114, 9342, 543, 19383, 865, 789, 454, 6866, 957, 609, 4010, 519, 1482, 3196, 1040, 0, 763, 1514, 7004, 2203, 540, 1208, 712, 25221, 602, 1808, 4162, 267, 971, 607, 2168, 4482, 4369, 267, 2170, 609, 1208, 712, 269, 901, 2203, 3322, 3095, 1137, 1063, 519, 9644, 626, 267, 606, 5304, 267, 543, 519, 1641, 2339, 540, 519, 1208, 712, 269, 634, 1079, 14759, 2404, 609, 713, 1880, 2203, 3322, 519, 1641, 2339, 540, 519, 1208, 712, 267, 543, 519, 1689, 538, 519, 9458, 8226, 540, 519, 14973, 1268, 267, 4061, 9591, 513, 2078, 1063, 519, 14973, 10584, 543, 519, 5304, 269, 634, 1514, 7004, 2203, 5784, 1208, 712, 607, 13261, 1317, 621, 31825, 519, 1459, 7287, 547, 581, 14973, 607, 1134, 607, 2104, 15752, 540, 1373, 14973, 269, 901, 2203, 568, 1031, 609, 20982, 1582, 31398, 13440, 908, 1208, 712, 1141, 835, 568, 14379, 609, 13821, 547, 581, 7608, 883, 2576, 3116, 779, 1808, 1514, 1895, 269, 4014, 1582, 31398, 13440, 908, 1208, 712, 31825, 8467, 543, 2887, 2225, 538, 519, 19915, 547, 2744, 1776, 781, 15754, 267, 621, 666, 581, 11943, 689, 519, 2203, 602, 713, 1826, 540, 1208, 712, 666, 2333, 11509, 16007, 2509, 519, 9644, 626, 950, 824, 4632, 616, 849, 7957, 24461, 269, 634, 1514, 7004, 2203, 666, 849, 581, 4553, 538, 3450, 543, 7898, 1005, 1141, 1208, 712, 568, 1031, 547, 2087, 519, 5042, 7207, 540, 519, 1053, 269, 9966, 712, 1223, 1711, 513, 2318, 543, 13016, 4928, 1604, 602, 12153, 1053, 685, 15131, 543, 1719, 269, 0, 20175, 769, 25840, 19332, 4828, 454, 8967, 1046, 24687, 281, 25840, 19332, 281, 18140, 11137, 454, 5522, 582, 11137, 269, 5565, 5513, 17480, 267, 4469, 822, 3780, 543, 631, 675, 961, 639, 267, 1265, 8464, 540, 4936, 4961, 29595, 519, 10754, 267, 10714, 532, 741, 960, 538, 1931, 547, 4585, 25840, 19332, 779, 15112, 13921, 31959, 281, 19332, 814, 17204, 519, 14930, 540, 519, 21549, 4936, 2489, 25048, 701, 344, 267, 1010, 2895, 337, 2526, 267, 538, 6370, 563, 20175, 769, 25840, 19332, 4828, 454, 11390, 653, 773, 267, 476, 2767, 835, 540, 519, 26549, 16957, 569, 2016, 547, 12354, 822, 1014, 1310, 562, 4954, 5255, 639, 267, 3735, 538, 476, 3607, 27652, 267, 729, 519, 5513, 684, 6509, 1379, 630, 1952, 269, 16653, 3780, 264, 513, 4759, 540, 519, 15194, 15112, 341, 597, 622, 1310, 519, 26923, 540, 15567, 3780, 32614, 269, 19332, 3957, 607, 1010, 8783, 25752, 543, 7550, 5067, 835, 540, 1010, 1614, 1390, 5991, 788, 515, 9749, 267, 524, 563, 25519, 14008, 543, 14697, 639, 616, 1142, 513, 5636, 664, 543, 1142, 513, 5869, 267, 4470, 2390, 519, 10952, 543, 5837, 642, 656, 720, 2798, 540, 519, 24319, 269, 3371, 267, 22101, 3780, 3096, 5601, 4401, 1227, 267, 6031, 602, 10143, 32614, 568, 2731, 513, 30096, 1480, 1373, 945, 23119, 689, 20560, 543, 10800, 731, 823, 269, 1809, 22101, 3780, 1281, 711, 14487, 1309, 525, 1513, 4473, 547, 12556, 563, 20606, 1380, 1378, 5758, 540, 713, 5123, 540, 1010, 4876, 630, 476, 272, 269, 3213, 1231, 540, 519, 1974, 476, 1724, 268, 1321, 27652, 6813, 989, 23774, 320, 607, 5691, 1071, 15041, 10132, 609, 27362, 639, 267, 4352, 519, 8545, 729, 2141, 519, 9972, 7649, 269, 7354, 2209, 267, 4961, 267, 1455, 619, 267, 7980, 267, 22651, 267, 7390, 1218, 267, 28034, 563, 20175, 540, 2245, 519, 27362, 534, 21246, 622, 607, 11006, 3095, 1063, 14081, 543, 10504, 267, 538, 986, 2378, 331, 879, 321, 543, 547, 615, 267, 476, 10170, 268, 14338, 269, 1879, 1010, 20516, 15567, 807, 5747, 538, 476, 7906, 27652, 267, 12354, 822, 3780, 9447, 519, 552, 592, 9609, 693, 1200, 24133, 267, 799, 729, 1010, 1101, 1857, 5920, 269, 29358, 3959, 20340, 585, 15376, 540, 519, 5580, 9753, 941, 18674, 267, 543, 4567, 6698, 585, 782, 519, 5049, 267, 2523, 519, 993, 6973, 748, 1226, 652, 20379, 267, 5693, 3964, 563, 8601, 519, 1981, 540, 1373, 6216, 539, 513, 1857, 10546, 267, 646, 4298, 1042, 519, 1309, 525, 4115, 10125, 540, 3786, 16492, 543, 267, 13461, 593, 2025, 10121, 2906, 267, 6659, 513, 4357, 7952, 689, 1851, 1309, 525, 1513, 18884, 267, 5310, 476, 1015, 267, 1822, 2178, 269, 27813, 267, 538, 476, 1240, 27652, 989, 23774, 553, 605, 4621, 983, 1379, 729, 17105, 543, 267, 811, 3648, 267, 646, 4607, 513, 2671, 540, 5513, 684, 6509, 1379, 630, 516, 2908, 539, 538, 476, 1724, 27652, 1040, 769, 1022, 2013, 267, 1185, 1044, 8704, 607, 1010, 24288, 543, 267, 676, 740, 476, 1724, 267, 729, 12303, 17169, 2907, 563, 12901, 3415, 15034, 12354, 822, 1014, 540, 28321, 1996, 1864, 267, 1247, 12354, 822, 1014, 13986, 267, 998, 8069, 267, 547, 24183, 519, 14017, 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 ]
[ 1346, 10665, 267, 568, 1034, 22644, 8910, 1317, 1352, 814, 1185, 519, 6574, 1297, 540, 18798, 563, 268, 634, 8871, 2632, 800, 602, 8441, 689, 713, 2197, 547, 519, 4262, 267, 568, 4865, 8910, 676, 519, 20769, 2684, 1137, 267, 945, 2661, 15587, 2390, 519, 4829, 540, 519, 2603, 639, 267, 799, 568, 540, 3160, 536, 793, 612, 540, 602, 540, 519, 544, 2880, 10874, 787, 282, 855, 9765, 5944, 6653, 899, 519, 4266, 269, 634, 11317, 1118, 9174, 540, 713, 4829, 563, 307, 523, 2395, 811, 3142, 513, 812, 547, 1776, 30361, 540, 6070, 267, 609, 606, 20349, 540, 1216, 543, 13869, 4054, 8720, 519, 11105, 3338, 267, 607, 538, 519, 4025, 1657, 268, 20197, 269, 901, 2197, 568, 20948, 676, 513, 29245, 4182, 282, 1634, 676, 519, 2012, 540, 519, 12275, 600, 656, 525, 267, 945, 1310, 789, 723, 9788, 4195, 3618, 2390, 519, 6070, 267, 30889, 741, 8970, 538, 602, 2666, 269, 1452, 12275, 600, 656, 525, 616, 934, 2396, 8910, 547, 1694, 538, 669, 926, 1824, 267, 543, 6968, 519, 15337, 1014, 512, 5766, 331, 1328, 5052, 945, 616, 4080, 547, 581, 2220, 604, 614, 540, 3723, 982, 1022, 824, 4182, 538, 519, 1158, 269, 1358, 3049, 2390, 1583, 335, 757, 543, 28499, 267, 609, 1082, 824, 5686, 540, 20641, 543, 741, 4633, 20998, 519, 695, 872, 6362, 540, 513, 10627, 267, 2864, 982, 519, 1893, 540, 2367, 563, 268, 2311, 519, 3845, 540, 827, 4557, 2395, 3460, 689, 519, 12275, 600, 656, 525, 267, 568, 2938, 1776, 544, 895, 540, 6070, 267, 609, 513, 32446, 29307, 856, 540, 519, 21895, 269, 634, 11105, 2694, 616, 20948, 676, 519, 7284, 656, 525, 267, 945, 616, 519, 1152, 1004, 267, 649, 917, 3186, 3482, 540, 513, 1880, 2012, 269, 1280, 602, 540, 7284, 656, 525, 568, 519, 1455, 813, 749, 566, 540, 782, 519, 8644, 344, 753, 538, 14966, 267, 543, 711, 2016, 547, 1022, 3982, 4182, 267, 713, 1152, 4849, 539, 269, 901, 1004, 31169, 519, 3141, 607, 621, 10596, 936, 741, 9843, 282, 13197, 1864, 609, 519, 642, 559, 652, 1065, 30294, 282, 1317, 646, 27499, 1312, 519, 2367, 543, 519, 2197, 609, 1010, 1085, 528, 4221, 3002, 563, 268, 769, 519, 8378, 540, 713, 1747, 4410, 25304, 568, 13883, 282, 9764, 538, 1106, 543, 28795, 538, 18592, 282, 855, 540, 865, 1390, 513, 4463, 267, 602, 1010, 2212, 568, 2141, 15865, 267, 1373, 2479, 11303, 609, 12269, 267, 1312, 538, 4832, 543, 5162, 282, 543, 4061, 676, 519, 11317, 1289, 8910, 519, 30346, 541, 540, 24656, 269, 3245, 8754, 891, 2367, 17589, 741, 2012, 267, 543, 616, 1289, 8910, 7284, 656, 525, 269, 1358, 9444, 3548, 519, 17145, 540, 1022, 3662, 267, 6862, 616, 2479, 29169, 538, 741, 3207, 676, 9909, 563, 268, 3245, 5527, 547, 519, 10720, 570, 761, 517, 529, 267, 519, 8644, 344, 753, 616, 9742, 619, 540, 12418, 267, 3548, 17145, 543, 4235, 5144, 267, 855, 17712, 664, 689, 519, 17145, 540, 16933, 267, 1100, 1447, 982, 519, 21072, 267, 543, 786, 711, 1832, 2220, 710, 269, 715, 599, 267, 1851, 519, 2021, 540, 7261, 16867, 267, 547, 10880, 513, 10800, 568, 20039, 513, 6760, 1317, 789, 8661, 519, 3728, 338, 543, 15976, 540, 519, 12266, 1772, 529, 269, 26681, 786, 519, 645, 2117, 19508, 534, 2021, 6492, 519, 17145, 2901, 540, 513, 554, 690, 267, 610, 540, 513, 10800, 269, 634, 8644, 344, 753, 945, 9468, 547, 519, 31023, 540, 519, 10720, 570, 761, 517, 529, 616, 711, 1832, 619, 540, 12418, 543, 8428, 689, 519, 9821, 540, 1346, 602, 616, 267, 835, 2523, 11341, 547, 1453, 269, 1280, 1082, 540, 1346, 945, 2661, 2390, 2250, 3120, 613, 267, 555, 334, 685, 594, 3112, 14751, 519, 1482, 540, 782, 267, 616, 934, 2396, 8910, 267, 950, 741, 1453, 12492, 547, 519, 2085, 540, 2185, 1296, 267, 547, 15891, 518, 1047, 741, 15532, 267, 2901, 593, 519, 13862, 610, 17633, 267, 609, 606, 3498, 540, 13265, 779, 15144, 538, 519, 31294, 269, 1677, 519, 7736, 602, 267, 1282, 782, 519, 942, 540, 741, 2729, 267, 789, 949, 2760, 581, 1055, 2105, 676, 8486, 3726, 748, 1219, 12999, 687, 689, 519, 2212, 269, 901, 267, 789, 2161, 267, 568, 519, 2014, 540, 519, 3501, 1072, 789, 2972, 269, 1656, 8197, 519, 8644, 344, 753, 540, 782, 519, 6082, 649, 917, 267, 616, 519, 1034, 2635, 267, 855, 2436, 689, 713, 610, 1022, 824, 2014, 267, 594, 4927, 711, 3313, 269, 1403, 1022, 540, 741, 1453, 25861, 896, 519, 5106, 267, 789, 9156, 1586, 676, 513, 20057, 1782, 540, 23820, 779, 10729, 799, 568, 513, 16185, 540, 741, 1378, 8798, 269, 1280, 519, 8644, 12505, 2021, 5957, 513, 25136, 540, 512, 10165, 23820, 32675, 267, 10085, 539, 538, 2699, 543, 535, 2590, 539, 267, 936, 519, 1964, 540, 741, 23157, 269, 3245, 891, 32675, 519, 717, 3285, 753, 5795, 519, 2012, 540, 3331, 484, 326, 529, 547, 3687, 969, 320, 779, 13104, 269, 1656, 594, 993, 20916, 547, 1589, 602, 519, 8964, 540, 561, 3512, 566, 267, 799, 616, 23475, 538, 17633, 267, 1185, 519, 1482, 3312, 282, 1317, 789, 616, 4122, 721, 8910, 676, 519, 2021, 540, 8644, 5984, 267, 543, 30780, 5340, 269, 634, 717, 3285, 753, 11338, 1451, 8910, 689, 519, 8644, 344, 753, 267, 519, 6073, 540, 13057, 741, 669, 926, 1824, 609, 2185, 9640, 24132, 538, 4395, 269, 2353, 519, 9930, 6758, 954, 519, 4666, 899, 519, 717, 3285, 753, 267, 4849, 519, 715, 553, 600, 2158, 945, 7747, 519, 942, 950, 519, 7210, 1268, 568, 4712, 547, 1163, 790, 267, 543, 1287, 1747, 1864, 538, 513, 9361, 14302, 267, 602, 646, 949, 711, 5884, 609, 1010, 3068, 16057, 269, 4256, 8075, 616, 1500, 540, 19211, 11741, 539, 609, 678, 16640, 267, 543, 15409, 563, 268, 8921, 740, 2809, 940, 547, 519, 7665, 13433, 267, 519, 2098, 1511, 806, 616, 13883, 267, 4171, 24726, 5397, 741, 669, 926, 1824, 538, 2112, 563, 268, 1656, 1310, 873, 519, 2197, 540, 519, 2098, 17789, 656, 525, 267, 1141, 11606, 540, 9932, 568, 1500, 676, 10987, 282, 543, 789, 2161, 267, 513, 1454, 3152, 7274, 676, 519, 11805, 823, 540, 2367, 269, 2353, 891, 5862, 2933, 609, 2357, 332, 559, 542, 267, 543, 3548, 22171, 267, 799, 616, 26870, 972, 538, 1390, 2338, 267, 2523, 538, 519, 15113, 563, 268, 1280, 519, 8832, 5032, 540, 8644, 5984, 267, 689, 3331, 484, 5118, 547, 519, 1596, 2632, 800, 540, 3752, 12251, 267, 1141, 8644, 5984, 2165, 7149, 267, 568, 20948, 676, 8644, 344, 753, 540, 1585, 6082, 267, 4849, 1346, 2694, 4805, 267, 799, 616, 4865, 8910, 676, 519, 717, 3285, 753, 543, 1912, 385, 497, 5371, 2103, 269, 26361, 713, 5032, 267, 543, 519, 17535, 4025, 267, 799, 616, 1134, 890, 641, 1194, 267, 519, 1985, 2197, 568, 10205, 8910, 547, 581, 6814, 540, 10352, 282, 543, 782, 3564, 602, 568, 3186, 3482, 540, 1216, 267, 4988, 609, 521, 1343, 267, 543, 19039, 569, 964, 25544, 563, 268, 2311, 519, 1439, 540, 891, 17288, 2395, 267, 789, 979, 593, 4604, 1776, 6077, 267, 543, 12446, 538, 827, 12964, 811, 693, 519, 1390, 2749, 540, 631, 3266, 324, 267, 799, 568, 20039, 519, 3854, 540, 782, 18629, 2507, 1607, 1004, 568, 1289, 8910, 676, 519, 2012, 540, 1306, 332, 752, 267, 799, 538, 519, 1658, 613, 540, 10255, 19752, 968, 17829, 602, 1796, 693, 519, 2451, 2244, 540, 519, 4622, 6100, 4256, 11937, 941, 21072, 282, 543, 1373, 538, 1297, 1079, 4627, 543, 17288, 8536, 4108, 2367, 267, 15148, 1540, 547, 519, 15337, 2103, 7498, 763, 3331, 484, 5118, 2103, 616, 4931, 30241, 8910, 538, 741, 5728, 2694, 267, 799, 782, 824, 2367, 4734, 607, 789, 616, 1106, 8910, 676, 2470, 282, 1346, 1152, 4849, 539, 945, 723, 19927, 713, 2688, 689, 873, 269, 634, 9093, 5957, 1079, 23157, 267, 519, 2021, 855, 835, 269, 1358, 3728, 523, 519, 887, 6647, 543, 29945, 547, 519, 3330, 540, 519, 521, 5661, 267, 543, 782, 824, 6082, 547, 519, 3544, 269, 1879, 519, 717, 3285, 753, 2328, 610, 5173, 609, 27669, 267, 789, 4163, 519, 1688, 689, 519, 2451, 547, 519, 1318, 282, 855, 519, 3331, 484, 5118, 2103, 593, 519, 14669, 267, 689, 519, 1318, 547, 519, 2451, 269, 1656, 2943, 27642, 538, 3257, 865, 602, 741, 1899, 11148, 547, 519, 1318, 543, 23600, 547, 519, 2451, 269, 1358, 723, 1079, 12204, 540, 5022, 267, 835, 540, 799, 789, 1289, 10723, 543, 519, 824, 5175, 3258, 269, 1358, 616, 540, 782, 18495, 519, 1034, 7050, 26902, 26802, 540, 519, 10971, 543, 946, 891, 18428, 269, 1358, 4235, 538, 11680, 540, 21567, 267, 799, 789, 1085, 712, 1169, 1554, 2560, 5445, 5957, 23157, 540, 32028, 4195, 18233, 267, 2921, 13737, 1416, 547, 723, 873, 2141, 2973, 267, 543, 616, 4931, 30241, 8910, 21246, 958, 585, 519, 19160, 540, 27194, 267, 799, 789, 22644, 811, 982, 15022, 3512, 269, 634, 623, 1845, 1206, 695, 1511, 782, 2694, 540, 519, 1560, 2899, 538, 1614, 2395, 282, 561, 652, 561, 823, 610, 1022, 824, 791, 12053, 1058, 581, 1336, 827, 1346, 945, 6815, 5573, 538, 519, 3028, 540, 519, 10971, 563, 268, 1280, 713, 2014, 519, 3331, 484, 5118, 2103, 2099, 18347, 676, 606, 3239, 9849, 519, 2212, 540, 513, 15155, 267, 538, 799, 789, 723, 1044, 708, 18469, 676, 519, 2549, 3000, 2103, 267, 945, 616, 513, 12733, 540, 3331, 484, 5118, 2103, 543, 3331, 484, 628, 11340, 2103, 267, 6340, 513, 1893, 9152, 8910, 540, 1913, 3144, 689, 1312, 1346, 6082, 282, 543, 267, 607, 594, 28756, 675, 267, 723, 2016, 2933, 519, 2012, 540, 2549, 3000, 2103, 267, 1317, 18347, 568, 676, 519, 3331, 484, 5118, 2103, 1289, 8910, 2549, 3000, 563, 268, 1452, 1912, 665, 19508, 753, 941, 519, 1101, 540, 782, 519, 717, 3285, 753, 945, 9333, 809, 1279, 16831, 1137, 267, 543, 3605, 8910, 519, 5032, 338, 540, 1520, 6319, 267, 570, 10455, 337, 1156, 807, 267, 30345, 807, 267, 543, 570, 691, 4615, 269, 1358, 1500, 741, 30295, 538, 7086, 625, 540, 15823, 522, 1513, 267, 543, 721, 8910, 1100, 9635, 540, 513, 678, 10133, 1106, 563, 268, 1809, 1317, 538, 602, 942, 789, 1496, 763, 1912, 665, 19508, 753, 1107, 7074, 676, 3798, 20426, 1185, 30635, 698, 8910, 519, 11182, 540, 782, 741, 30256, 267, 519, 570, 10455, 337, 1156, 2103, 543, 2961, 628, 698, 29562, 2036, 514, 8910, 1927, 547, 1118, 2112, 1996, 873, 267, 1142, 4182, 609, 24239, 9635, 269, 634, 1912, 665, 19508, 753, 593, 741, 851, 19034, 856, 741, 18239, 267, 9967, 538, 782, 540, 24239, 13743, 849, 282, 543, 4947, 909, 609, 519, 10546, 538, 519, 4262, 540, 590, 731, 27091, 267, 10692, 543, 20630, 8910, 267, 855, 3489, 8910, 513, 27974, 332, 19508, 534, 11802, 269, 1280, 17288, 540, 741, 1378, 9635, 941, 3141, 330, 282, 543, 782, 519, 1964, 2348, 4503, 741, 623, 4900, 267, 941, 19039, 569, 16981, 269, 2991, 713, 2962, 267, 13059, 547, 1325, 26515, 267, 789, 2322, 741, 24726, 543, 1453, 593, 4604, 1586, 267, 609, 607, 1454, 540, 741, 5370, 607, 789, 1223, 4163, 1055, 267, 543, 6028, 7261, 337, 333, 639, 267, 30774, 547, 28039, 17753, 269, 2986, 1346, 1912, 665, 19508, 753, 602, 4503, 741, 9635, 538, 519, 4339, 267, 1082, 8593, 883, 519, 3946, 540, 519, 2961, 628, 698, 29562, 543, 570, 10455, 337, 1156, 2103, 267, 945, 693, 741, 13941, 588, 19861, 873, 547, 2669, 538, 519, 8513, 540, 3397, 344, 12848, 563, 268, 634, 6970, 684, 2103, 267, 607, 594, 28756, 675, 267, 616, 8385, 540, 519, 2197, 789, 9468, 267, 555, 334, 685, 789, 2161, 741, 11937, 3357, 689, 11511, 974, 269, 1809, 2436, 789, 723, 8383, 730, 741, 1893, 547, 602, 540, 519, 595, 12579, 267, 610, 519, 595, 12579, 723, 1106, 8910, 741, 4633, 676, 519, 6970, 684, 1014, 267, 594, 3112, 3313, 609, 22979, 269, 769, 741, 9821, 543, 25654, 519, 6970, 684, 2103, 18613, 1100, 824, 4182, 267, 711, 1256, 519, 595, 12579, 2507, 1358, 606, 857, 1836, 26902, 2089, 8910, 519, 10971, 540, 824, 6082, 282, 855, 19952, 4657, 741, 6644, 267, 543, 20547, 547, 723, 1100, 824, 982, 741, 1378, 3084, 24587, 267, 789, 782, 6186, 8910, 2933, 267, 543, 538, 513, 4620, 592, 656, 6073, 6216, 5109, 741, 884, 1513, 538, 519, 2011, 267, 15292, 8910, 909, 547, 519, 10239, 540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 268, 11261, 281, 524, 269, 476, 4968, 268, 27151, 454, 268, 5545, 281, 28859, 360, 502, 23521, 378, 417, 350, 504, 9463, 353, 417, 351, 367, 630, 307, 752, 600, 1846, 15120, 26854, 737, 1993, 684, 994, 307, 752, 600, 1846, 15120, 26854, 737, 1993, 684, 568, 513, 544, 895, 19772, 538, 715, 4673, 840, 2739, 675, 267, 14155, 730, 538, 476, 3192, 273, 267, 543, 4583, 585, 922, 3774, 10367, 269, 634, 10367, 267, 18995, 513, 1895, 540, 21031, 538, 5480, 28076, 1299, 688, 1009, 5138, 267, 616, 9833, 607, 1851, 519, 1034, 10427, 918, 1993, 684, 1974, 10367, 4362, 267, 543, 1851, 1346, 538, 519, 1655, 2783, 269, 634, 2673, 11696, 28917, 540, 1312, 7206, 2511, 543, 519, 2511, 540, 23157, 1299, 688, 1009, 1803, 13269, 547, 2147, 2592, 538, 9705, 543, 3624, 568, 2963, 540, 519, 2673, 2686, 13218, 1063, 3567, 543, 519, 11782, 538, 602, 1974, 563, 268, 15751, 631, 269, 30621, 267, 634, 11595, 540, 5545, 31511, 267, 5822, 9990, 267, 623, 1370, 823, 8065, 630, 1001, 272, 1070, 476, 279, 269, 0, 2252, 519, 1981, 540, 513, 17219, 971, 607, 2860, 9775, 609, 4598, 942, 267, 9236, 1007, 3755, 547, 5396, 945, 949, 723, 2907, 1031, 513, 3075, 585, 1296, 666, 3132, 513, 21678, 1267, 269, 606, 2799, 11841, 540, 5563, 543, 5924, 2860, 269, 6736, 1082, 1296, 540, 4791, 1382, 543, 811, 982, 513, 8717, 2094, 519, 4367, 540, 570, 22143, 20127, 883, 519, 16758, 267, 972, 568, 24895, 827, 519, 1761, 7681, 1063, 946, 540, 891, 8069, 543, 30279, 3599, 269, 3245, 513, 2964, 2065, 29459, 267, 621, 1223, 581, 32424, 602, 22629, 540, 570, 22143, 1223, 2901, 3986, 610, 21391, 2860, 1646, 630, 274, 290, 277, 1040, 2201, 519, 835, 1688, 267, 3842, 6127, 971, 607, 15632, 540, 30091, 610, 1139, 4809, 2360, 593, 5444, 4082, 267, 570, 22143, 949, 16401, 519, 1646, 540, 1978, 12970, 630, 276, 1040, 11569, 267, 519, 2012, 570, 22143, 267, 799, 729, 22579, 1134, 1354, 519, 1909, 540, 713, 22270, 710, 538, 6553, 543, 538, 3875, 16991, 3676, 729, 1634, 267, 9356, 519, 4767, 7409, 7480, 2360, 540, 713, 22270, 710, 593, 1978, 12970, 269, 4475, 267, 3625, 1228, 540, 570, 22143, 949, 3986, 519, 1981, 540, 2860, 269, 769, 1840, 267, 570, 22143, 5713, 607, 513, 1883, 3693, 540, 519, 12982, 3210, 4171, 22629, 949, 2333, 519, 1981, 547, 1585, 5563, 269, 901, 1223, 5732, 1747, 519, 3984, 693, 3152, 1981, 540, 11871, 9141, 676, 5312, 5563, 267, 3226, 10194, 630, 278, 1040, 1635, 891, 6127, 267, 32485, 570, 22143, 1522, 2333, 519, 1981, 540, 2860, 269, 2201, 519, 824, 1688, 267, 29252, 6553, 3294, 949, 849, 14984, 5573, 2860, 630, 274, 267, 476, 275, 1040, 4746, 267, 1851, 519, 16221, 2238, 540, 570, 22143, 568, 922, 7096, 1198, 593, 2587, 328, 14003, 267, 799, 568, 2565, 547, 10510, 2208, 267, 6668, 267, 543, 22037, 12118, 630, 274, 267, 476, 275, 1040, 4475, 267, 14984, 4550, 13611, 5574, 267, 971, 607, 570, 22143, 328, 267, 1223, 6175, 519, 1981, 540, 2860, 998, 1139, 7675, 6553, 543, 4227, 2587, 328, 14003, 269, 901, 1523, 568, 6462, 676, 1079, 3515, 540, 1239, 269, 3689, 267, 2550, 609, 2362, 2157, 540, 11528, 6553, 267, 971, 607, 1346, 609, 17241, 267, 616, 693, 513, 3152, 1981, 585, 3384, 9726, 5557, 630, 279, 1040, 5822, 267, 2126, 609, 29416, 8803, 6950, 267, 799, 4865, 3309, 4550, 13611, 3601, 267, 2408, 547, 581, 2404, 609, 513, 14758, 1981, 540, 28623, 1646, 630, 280, 1040, 5381, 547, 519, 2596, 2257, 11021, 602, 570, 22143, 328, 949, 2333, 610, 6175, 519, 1981, 540, 2860, 267, 19747, 6417, 8062, 798, 711, 1683, 17046, 2963, 827, 713, 2078, 269, 5565, 2487, 13849, 12845, 26087, 525, 1336, 1100, 2312, 2963, 540, 2799, 2860, 1981, 609, 519, 946, 540, 570, 22143, 328, 269, 630, 1015, 267, 476, 1556, 1040, 2290, 1804, 13849, 20400, 602, 3769, 1152, 519, 1395, 16438, 4689, 12489, 267, 4870, 1460, 574, 629, 543, 740, 531, 3065, 629, 267, 1336, 606, 2799, 22601, 293, 24374, 630, 306, 760, 517, 574, 617, 264, 1981, 540, 2860, 630, 1321, 1040, 589, 13849, 20400, 5059, 593, 1696, 534, 518, 1061, 6700, 513, 7678, 4724, 606, 2799, 1981, 855, 519, 6015, 8884, 838, 10165, 835, 585, 519, 3119, 2079, 543, 6281, 9382, 1705, 711, 782, 2303, 2799, 2860, 1981, 630, 1724, 1040, 5015, 267, 513, 1353, 540, 2550, 19801, 538, 740, 531, 3065, 629, 8062, 585, 2038, 17241, 1336, 1100, 1713, 2333, 538, 2860, 1981, 630, 1691, 1040, 2755, 19747, 6417, 8062, 616, 519, 4154, 3044, 585, 12117, 267, 789, 949, 711, 22601, 293, 24374, 630, 306, 760, 517, 574, 617, 264, 1683, 519, 1655, 1344, 3823, 513, 5061, 17219, 267, 19962, 547, 741, 5266, 2110, 8653, 543, 7453, 10014, 22601, 293, 24374, 630, 306, 760, 517, 574, 617, 264, 7355, 602, 949, 23868, 1271, 693, 16151, 2516, 630, 1428, 1040, 25731, 328, 11043, 2090, 540, 2550, 538, 6093, 1416, 2636, 585, 2079, 540, 811, 4143, 5396, 609, 513, 3099, 540, 32435, 6381, 1210, 598, 1260, 26938, 14319, 269, 2060, 713, 1686, 267, 649, 9333, 809, 513, 9836, 7650, 540, 16917, 328, 11043, 1382, 540, 519, 11450, 1063, 11871, 543, 570, 22143, 328, 269, 13405, 8039, 723, 3893, 9916, 713, 3463, 540, 11871, 538, 17241, 630, 1626, 1040, 24641, 267, 713, 2689, 9072, 1312, 1505, 11043, 2934, 540, 1382, 10442, 2860, 10510, 543, 570, 22143, 328, 267, 607, 6202, 607, 741, 4093, 269, 1284, 4769, 1406, 3801, 513, 13849, 20400, 1813, 547, 519, 1034, 6654, 27696, 30846, 543, 1904, 539, 547, 1683, 519, 4681, 1373, 513, 6896, 2689, 267, 607, 5227, 609, 519, 3213, 577, 8735, 29046, 630, 1704, 1040, 11150, 1284, 8179, 856, 782, 2296, 6863, 1543, 11341, 547, 570, 22143, 328, 543, 11871, 593, 32253, 1210, 519, 1883, 874, 29320, 4550, 10510, 27394, 15727, 2460, 267, 610, 1851, 1142, 705, 520, 864, 696, 267, 1303, 534, 518, 1061, 267, 740, 531, 3065, 629, 267, 606, 752, 514, 571, 267, 4870, 1460, 574, 629, 267, 678, 527, 5060, 574, 629, 267, 543, 30279, 3599, 267, 610, 11871, 267, 543, 12263, 27131, 269, 589, 2347, 540, 476, 3607, 278, 1543, 941, 4857, 4362, 856, 540, 713, 3406, 269, 1284, 16934, 1543, 281, 1510, 9030, 1239, 593, 570, 22143, 328, 543, 11871, 538, 17241, 630, 301, 815, 476, 26297, 5148, 13849, 12845, 26087, 525, 630, 301, 284, 1691, 5148, 2013, 8039, 630, 301, 284, 4817, 5148, 543, 31594, 2717, 5670, 4689, 547, 31641, 298, 19747, 3621, 2090, 630, 301, 284, 1015, 1040, 901, 1869, 2451, 476, 1556, 1543, 602, 7229, 13354, 4220, 585, 11871, 4448, 609, 570, 22143, 328, 3769, 607, 519, 9030, 5012, 547, 713, 2689, 630, 1240, 290, 2767, 1040, 3828, 10679, 1543, 602, 3769, 1175, 13387, 12136, 12753, 630, 951, 639, 13354, 4220, 264, 10442, 17241, 24412, 547, 519, 2949, 2551, 1185, 1044, 3769, 607, 24045, 4093, 630, 279, 267, 476, 866, 267, 476, 2420, 290, 1839, 267, 476, 2764, 290, 4097, 1040, 4855, 7612, 585, 519, 6516, 689, 519, 2835, 3406, 269, 7046, 909, 538, 1776, 6885, 2549, 870, 901, 7612, 4564, 8939, 1543, 689, 519, 2835, 585, 10014, 1369, 713, 2689, 269, 3962, 1543, 729, 19584, 676, 693, 2547, 1079, 1382, 22602, 9001, 513, 22555, 1239, 27727, 1826, 630, 984, 1555, 762, 2390, 3747, 264, 602, 10704, 593, 1312, 519, 4480, 543, 2164, 269, 634, 3483, 540, 713, 22555, 16472, 729, 547, 5581, 1898, 1505, 11043, 10305, 607, 6202, 607, 1353, 4093, 269, 19791, 540, 519, 4480, 602, 941, 9916, 3769, 1353, 2511, 630, 1723, 327, 677, 8957, 2013, 20820, 1070, 20165, 1305, 909, 630, 6938, 20165, 267, 570, 22143, 328, 20165, 267, 610, 1585, 824, 1070, 1875, 6874, 22143, 328, 4086, 1807, 1895, 630, 12061, 12528, 8957, 7082, 540, 824, 1880, 20336, 2752, 17762, 1070, 4598, 6609, 269, 0, 1432, 568, 707, 18558, 888, 7312, 18558, 568, 513, 1804, 14189, 1418, 538, 707, 17737, 3297, 707, 7181, 281, 851, 540, 519, 9667, 1062, 269, 898, 1281, 1079, 1292, 1919, 281, 13847, 3532, 11476, 547, 948, 596, 7558, 1426, 1299, 13847, 7378, 1299, 6722, 6782, 883, 707, 18072, 799, 948, 707, 1560, 1852, 875, 621, 3096, 1426, 585, 1648, 563, 18794, 5981, 320, 12226, 454, 20055, 1118, 5981, 320, 21273, 543, 2671, 707, 1702, 609, 519, 1158, 4041, 27073, 27749, 0, 293, 3985, 1143, 543, 1530, 20896, 281, 2311, 5851, 543, 2806, 5802, 454, 16829, 281, 476, 2767, 4924, 476, 1220, 272, 454, 310, 3480, 1629, 31097, 723, 2919, 513, 1297, 540, 2500, 3631, 585, 8383, 908, 17801, 32241, 4763, 269, 2290, 540, 891, 3322, 519, 946, 540, 5313, 610, 29610, 1922, 3985, 3029, 540, 16857, 13190, 547, 5512, 1582, 3766, 17922, 585, 3084, 18441, 543, 6805, 9082, 269, 594, 3494, 602, 891, 3029, 540, 16857, 13190, 616, 538, 2489, 513, 1967, 269, 634, 26350, 540, 891, 3631, 723, 1044, 19765, 13846, 267, 2705, 267, 1317, 1082, 1004, 2268, 1967, 676, 606, 20025, 21205, 281, 12077, 267, 519, 9000, 540, 694, 20896, 626, 4254, 16478, 269, 901, 3112, 581, 519, 2953, 3044, 585, 10442, 11180, 1617, 1588, 2829, 269, 634, 1967, 540, 7262, 4485, 547, 16857, 13190, 568, 1644, 267, 538, 513, 1950, 1259, 267, 547, 513, 1880, 2070, 827, 519, 26117, 543, 5310, 1256, 12491, 527, 1464, 540, 694, 20896, 626, 4254, 16478, 563, 21292, 281, 1530, 20896, 267, 17801, 32241, 4763, 267, 1617, 1588, 5313, 1143, 267, 18441, 454, 22296, 2248, 539, 27375, 281, 21909, 539, 27375, 0, 288, 571, 577, 529, 3834, 690, 2801, 320, 818, 327, 1506, 1478, 1613, 552, 653, 334, 2518, 6538, 269, 634, 9510, 2666, 18133, 610, 24113, 729, 1336, 538, 829, 340, 543, 18584, 547, 827, 476, 28794, 271, 27652, 269, 19966, 577, 529, 3834, 690, 2801, 320, 4922, 16916, 7819, 2030, 16916, 538, 9341, 543, 3636, 4525, 269, 19966, 577, 529, 3834, 690, 2801, 320, 568, 513, 1434, 1383, 540, 1623, 25027, 7681, 585, 9436, 30651, 269, 3212, 534, 583, 27442, 577, 529, 3834, 690, 2801, 320, 12851, 547, 519, 1850, 2541, 1920, 543, 568, 711, 7762, 534, 1227, 513, 2428, 267, 4352, 621, 568, 3622, 5219, 547, 543, 10057, 607, 971, 563, 6624, 2030, 1609, 338, 723, 1044, 3524, 10642, 607, 606, 4244, 547, 2898, 11646, 9696, 267, 1519, 24113, 1317, 540, 519, 11646, 2450, 543, 6988, 269, 634, 3762, 616, 14595, 543, 533, 4883, 622, 609, 2185, 6978, 7410, 1079, 6587, 8424, 269, 4937, 1344, 827, 27442, 577, 529, 3834, 690, 2801, 320, 818, 327, 1506, 2415, 550, 2088, 267, 10240, 14746, 269, 3212, 534, 583, 27442, 577, 529, 3834, 690, 2801, 320, 1376, 24113, 5452, 543, 2972, 707, 1378, 7556, 540, 8949, 30637, 269, 19966, 577, 529, 2249, 27442, 577, 529, 3834, 690, 2801, 320, 2012, 19655, 27442, 577, 529, 3834, 690, 2801, 320, 535, 269, 7325, 476, 5400, 267, 476, 1001, 279, 586, 518, 1372, 23925, 2943, 1047, 321, 559, 523, 544, 7795, 5052, 655, 3787, 7288, 269, 570, 1682, 747, 874, 9369, 3173, 519, 24113, 568, 606, 5993, 543, 666, 2901, 581, 606, 16245, 21906, 2421, 2030, 267, 476, 27174, 271, 4699, 476, 9264, 275, 6279, 1164, 609, 2110, 8371, 267, 610, 723, 513, 10825, 1106, 267, 476, 19054, 276, 4699, 476, 13199, 279, 6279, 1164, 609, 1279, 8371, 602, 9114, 2673, 547, 519, 3037, 563, 1607, 568, 9738, 693, 1989, 858, 514, 267, 32364, 543, 568, 538, 519, 10351, 680, 11047, 1344, 4199, 3060, 1989, 514, 607, 14039, 476, 277, 4510, 18733, 269, 18766, 689, 519, 24113, 2371, 6225, 2360, 593, 3037, 269, 3212, 534, 7491, 616, 519, 3984, 540, 13271, 607, 704, 326, 22346, 7657, 639, 543, 607, 704, 326, 22346, 26220, 639, 616, 540, 1880, 6694, 4644, 1813, 547, 741, 2702, 547, 3132, 15910, 8328, 513, 29788, 2135, 1231, 269, 19966, 577, 529, 3834, 690, 2801, 320, 4214, 540, 27442, 577, 529, 3834, 690, 2801, 320, 676, 519, 1863, 269, 6356, 540, 521, 12976, 942, 593, 24113, 27442, 577, 529, 3834, 690, 2801, 320, 561, 269, 3212, 534, 583, 27442, 577, 529, 3834, 690, 2801, 320, 6829, 5311, 11090, 1788, 269, 19966, 577, 529, 3834, 690, 2801, 320, 19655, 267, 27442, 577, 529, 3834, 690, 2801, 320, 12332, 267, 27442, 577, 529, 3834, 690, 2801, 320, 8144, 267, 7005, 8675, 4214, 540, 27442, 577, 529, 3834, 690, 2801, 320, 269, 898, 10169, 20998, 538, 5920, 513, 1507, 6653, 890, 320, 17382, 269, 898 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1142, 4737, 540, 513, 4677, 568, 3160, 547, 519, 2698, 1297, 540, 9343, 538, 519, 454, 326, 31678, 269, 2991, 476, 9340, 4054, 723, 1044, 909, 549, 6838, 538, 513, 7088, 267, 972, 2611, 476, 11820, 1691, 454, 339, 4181, 538, 519, 4677, 269, 634, 1297, 540, 9343, 540, 4054, 538, 519, 4677, 568, 454, 1911, 630, 321, 264, 476, 10755, 630, 322, 264, 476, 12893, 630, 323, 264, 476, 10219, 454, 9223, 689, 4147, 476, 1691, 3848, 12384, 24306, 1656, 28116, 24306, 454, 25721, 928, 22027, 2312, 737, 732, 514, 705, 29243, 1952, 1612, 536, 6062, 269, 8347, 621, 1631, 269, 0, 2710, 3388, 2009, 547, 2061, 10825, 621, 547, 824, 1004, 269, 634, 3644, 3112, 2661, 1279, 950, 621, 568, 711, 538, 3346, 609, 519, 2960, 267, 865, 7450, 20362, 543, 28734, 616, 711, 2693, 547, 3262, 621, 269, 1684, 711, 2671, 707, 2123, 28378, 267, 899, 5694, 1962, 16640, 543, 2036, 338, 269, 25169, 707, 3946, 609, 12853, 543, 1216, 1419, 267, 543, 5612, 952, 596, 5905, 519, 21399, 269, 901, 568, 1271, 865, 607, 547, 7413, 519, 4960, 540, 3478, 522, 4788, 15601, 630, 615, 6647, 3968, 540, 519, 3750, 264, 799, 568, 513, 3978, 3968, 269, 2142, 2523, 6297, 1472, 12256, 1317, 741, 4761, 1949, 949, 711, 581, 4628, 2919, 269, 9741, 1453, 1419, 2769, 15754, 609, 1793, 641, 6853, 6632, 21098, 525, 269, 901, 568, 513, 1455, 1259, 547, 3262, 519, 15601, 3644, 1369, 519, 1920, 563, 15463, 6647, 3968, 540, 519, 19058, 8778, 568, 513, 16770, 10299, 3968, 630, 16303, 1302, 10299, 2068, 610, 31969, 1040, 6145, 538, 519, 5023, 1858, 267, 15601, 2589, 543, 4191, 1331, 513, 11213, 267, 1025, 3563, 532, 16420, 1472, 610, 593, 519, 19058, 610, 6439, 531, 2127, 269, 1452, 15087, 1930, 543, 1267, 538, 11213, 21399, 602, 666, 1491, 1079, 547, 2185, 4374, 547, 12115, 269, 634, 21399, 666, 3006, 2014, 11213, 30614, 269, 1234, 9690, 17061, 616, 6093, 267, 543, 519, 942, 1063, 17061, 9775, 1851, 4299, 1004, 543, 1256, 1369, 519, 1482, 1367, 269, 13405, 547, 606, 12176, 267, 513, 32688, 267, 8781, 267, 610, 21422, 14815, 949, 581, 1459, 593, 519, 1858, 540, 3238, 2960, 563, 7049, 1388, 15601, 568, 606, 1651, 9092, 2068, 269, 1809, 267, 972, 616, 6527, 547, 14867, 2589, 543, 2061, 20443, 17061, 269, 18370, 584, 343, 568, 519, 1655, 543, 1034, 1455, 2126, 4781, 585, 19058, 15601, 269, 898, 666, 2285, 707, 7649, 7525, 8323, 543, 3247, 741, 12176, 1354, 621, 6238, 269, 18370, 584, 343, 666, 849, 2569, 707, 7649, 779, 4220, 540, 10825, 519, 3644, 547, 596, 269, 1924, 267, 2307, 707, 7649, 547, 4019, 18370, 584, 343, 476, 273, 268, 274, 2053, 513, 1554, 547, 1205, 7759, 540, 19058, 15601, 563, 2710, 4701, 21559, 1139, 4809, 2126, 952, 513, 1268, 2833, 811, 982, 3670, 9888, 18384, 538, 513, 1032, 269, 769, 930, 2665, 267, 513, 4387, 1250, 4363, 602, 519, 1367, 3217, 3232, 27179, 2126, 22543, 17802, 269, 634, 2832, 1934, 568, 547, 2061, 2417, 9888, 18384, 269, 4014, 1139, 4809, 2126, 3648, 6971, 519, 1981, 540, 8429, 23034, 547, 513, 7649, 267, 972, 568, 1869, 513, 1981, 563, 1692, 547, 1205, 7759, 540, 513, 4411, 15319, 634, 15601, 2241, 343, 3644, 602, 3123, 4411, 21399, 267, 1419, 593, 1004, 779, 28182, 267, 568, 3810, 21380, 543, 513, 15400, 3968, 609, 1100, 10826, 269, 6258, 827, 875, 547, 1521, 4411, 21399, 950, 789, 2408, 267, 1519, 4550, 8686, 12637, 14342, 543, 1212, 4461, 543, 1753, 14319, 267, 7132, 519, 1272, 4783, 540, 519, 3644, 267, 543, 875, 547, 2061, 922, 3262, 269, 3367, 1631, 454, 2252, 596, 723, 5063, 1500, 621, 998, 513, 1101, 12558, 602, 15538, 540, 2407, 1532, 31500, 2589, 267, 596, 917, 1945, 827, 4191, 543, 2589, 2907, 269, 634, 1434, 3377, 568, 602, 519, 1101, 12558, 568, 3592, 2141, 519, 10782, 602, 23034, 25001, 707, 1259, 269, 20050, 543, 2589, 540, 20443, 14501, 630, 15290, 789, 2049, 264, 4043, 547, 581, 7646, 518, 543, 12115, 1454, 811, 3533, 267, 3335, 1369, 1079, 547, 12964, 2395, 269, 0, 2691, 519, 7507, 10985, 7550, 519, 6465, 1393, 540, 519, 4139, 22518, 7040, 630, 2975, 290, 264, 538, 5147, 476, 1960, 279, 267, 621, 3769, 607, 513, 2112, 6760, 519, 1757, 566, 540, 834, 342, 7655, 267, 1279, 2165, 543, 4049, 3441, 547, 519, 2067, 1604, 1701, 263, 272, 264, 6270, 834, 13582, 532, 257, 540, 3486, 19493, 1876, 14767, 15398, 8417, 547, 519, 2825, 4539, 540, 13137, 607, 649, 4283, 519, 1007, 26992, 269, 634, 594, 6717, 6465, 1393, 11865, 267, 2705, 267, 568, 855, 519, 1034, 2487, 1383, 540, 513, 3395, 2825, 9637, 1471, 8584, 23724, 4108, 4238, 602, 1101, 3459, 547, 2627, 936, 1079, 5756, 3516, 563, 1607, 2376, 17048, 1132, 1346, 3344, 540, 3486, 19493, 1876, 602, 16102, 519, 1604, 1282, 11439, 4655, 281, 621, 568, 5497, 5097, 607, 513, 29194, 585, 1346, 1007, 547, 519, 1641, 15301, 273, 264, 1306, 786, 1831, 7805, 267, 19493, 1876, 814, 5059, 1085, 656, 3007, 2047, 593, 519, 1604, 269, 5502, 267, 621, 12346, 593, 6671, 543, 22232, 19493, 1876, 602, 814, 1152, 5063, 1044, 6444, 607, 2348, 2825, 12343, 585, 519, 13557, 540, 922, 2825, 1404, 269, 11374, 513, 5618, 2689, 540, 519, 3140, 2796, 689, 799, 519, 1876, 7153, 267, 4901, 7140, 547, 2185, 2010, 540, 4143, 8155, 281, 476, 272, 264, 1808, 2825, 14074, 538, 19493, 1876, 282, 476, 273, 264, 7182, 593, 519, 946, 540, 1880, 9604, 5827, 540, 4929, 2825, 3441, 282, 476, 274, 264, 1875, 523, 1444, 1808, 14097, 1876, 799, 949, 16102, 519, 1604, 538, 1978, 6381, 282, 543, 476, 275, 264, 22232, 19493, 1876, 5356, 2825, 4027, 269, 4014, 519, 2376, 781, 4557, 528, 568, 5097, 10855, 267, 538, 1931, 547, 12954, 2417, 8086, 267, 519, 3803, 3296, 2488, 606, 705, 27554, 4879, 540, 519, 10858, 29708, 1604, 282, 621, 5267, 602, 1247, 519, 2825, 5057, 540, 3486, 1876, 12044, 13137, 568, 711, 7477, 6681, 267, 972, 568, 6157, 4055, 585, 6454, 563, 15578, 5084, 309, 7728, 5508, 12164, 290, 30204, 744, 23615, 5990, 13673, 309, 7644, 2177, 16774, 3201, 29313, 16898, 5508, 8121, 300, 3633, 12164, 14566, 2975, 307, 454, 13434, 10744, 602, 11439, 4655, 1958, 30294, 593, 519, 1604, 15991, 4564, 606, 2351, 328, 4919, 3134, 13023, 1415, 267, 263, 274, 264, 774, 1075, 11770, 573, 625, 267, 585, 3236, 267, 22281, 338, 519, 18413, 547, 3653, 540, 23723, 1014, 4610, 676, 519, 1975, 691, 753, 1282, 519, 5993, 20146, 2471, 540, 5900, 3821, 538, 519, 19994, 641, 517, 5886, 1014, 12668, 15301, 275, 264, 769, 476, 15757, 273, 267, 519, 10656, 8118, 741, 1019, 7719, 538, 1931, 547, 6565, 519, 20352, 540, 519, 14027, 3943, 4229, 538, 519, 12059, 17454, 5937, 8553, 2782, 15301, 276, 264, 4438, 519, 4425, 518, 2782, 267, 519, 3703, 2155, 6387, 267, 9710, 26559, 28881, 518, 267, 7722, 538, 513, 678, 3578, 1652, 1085, 528, 3481, 3618, 5859, 538, 799, 11396, 941, 14616, 547, 20912, 4425, 518, 4229, 519, 32351, 593, 799, 789, 16941, 15301, 277, 264, 769, 519, 1985, 2540, 267, 519, 3638, 4936, 1014, 3282, 26753, 941, 16091, 676, 3703, 29962, 17368, 517, 26186, 603, 338, 538, 1931, 547, 840, 2850, 873, 689, 9991, 883, 519, 3946, 540, 519, 32415, 6239, 25024, 540, 519, 3689, 2622, 2782, 15301, 278, 264, 4936, 1014, 3282, 729, 1586, 6098, 1282, 519, 5822, 2622, 2782, 267, 3226, 998, 519, 4583, 476, 3707, 274, 2011, 986, 1749, 1996, 1773, 334, 652, 328, 15301, 279, 264, 2986, 1576, 267, 519, 1079, 13685, 799, 3361, 519, 6574, 2825, 1608, 600, 640, 538, 519, 1686, 540, 11439, 4655, 941, 519, 10570, 10514, 6285, 593, 519, 5545, 4872, 540, 670, 30090, 543, 18491, 30245, 538, 4864, 540, 476, 3707, 276, 269, 1323, 2363, 1168, 5893, 12667, 569, 9676, 519, 13249, 6708, 540, 519, 9552, 1732, 982, 25062, 7194, 2479, 1223, 563, 20751, 513, 1906, 7643, 519, 5215, 540, 1004, 538, 519, 10754, 543, 519, 10651, 538, 519, 4099, 540, 519, 4884, 941, 1085, 528, 3481, 676, 513, 5951, 540, 694, 2130, 3002, 269, 3509, 941, 7166, 14678, 267, 1866, 2482, 21389, 603, 532, 593, 519, 2666, 267, 3458, 5446, 538, 989, 3415, 689, 519, 703, 11217, 762, 1928, 540, 741, 17236, 269, 18421, 7555, 20005, 538, 519, 1259, 540, 519, 19046, 267, 6821, 267, 8075, 267, 15327, 267, 543, 824, 5656, 267, 729, 3045, 8811, 23624, 2807, 32130, 267, 5243, 543, 12418, 11124, 519, 1482, 12556, 607, 1480, 7919, 269, 5272, 2713, 3364, 729, 4620, 337, 1881, 538, 606, 10182, 540, 967, 525, 4933, 762, 7092, 269, 4634, 519, 10664, 1705, 711, 9101, 269, 19029, 4682, 909, 538, 26428, 267, 519, 7573, 2371, 4503, 741, 3039, 1145, 267, 519, 6371, 14616, 593, 519, 2666, 2807, 263, 280, 994, 4322, 543, 9118, 824, 13476, 16160, 4238, 1705, 711, 2049, 538, 513, 2347, 29708, 12511, 269, 2201, 519, 14669, 267, 519, 3140, 2594, 22281, 338, 2789, 3646, 547, 1305, 4441, 12145, 9552, 540, 519, 1604, 1282, 11439, 4655, 269, 769, 1546, 17458, 16860, 267, 607, 606, 1383, 267, 15584, 4051, 338, 519, 1004, 540, 5840, 593, 2409, 540, 26362, 13137, 563, 2691, 596, 2482, 26362, 547, 513, 2749, 585, 1082, 2395, 267, 1818, 2112, 1996, 621, 547, 7001, 621, 267, 596, 4927, 711, 6861, 922, 4478, 4829, 4054, 676, 5969, 873, 609, 606, 4949, 324, 282, 596, 949, 3548, 741, 4829, 267, 855, 596, 1590, 711, 2759, 873, 1524, 269, 3657, 519, 4054, 540, 519, 2361, 1004, 267, 9718, 619, 540, 519, 2749, 267, 602, 596, 1058, 2482, 26362, 547, 873, 286, 8409, 4054, 267, 2705, 267, 602, 596, 917, 616, 711, 4829, 4054, 596, 949, 2759, 1524, 543, 946, 547, 1628, 26362, 1568, 1996, 519, 2749, 602, 568, 11562, 532, 1996, 596, 267, 2394, 621, 8813, 15301, 1015, 994, 3682, 3031, 1431, 593, 18413, 3653, 547, 19742, 1426, 2959, 941, 849, 13994, 4327, 676, 519, 4144, 23159, 16159, 631, 2727, 517, 1938, 543, 519, 15887, 6798, 1772, 8676, 601, 267, 263, 1556, 264, 543, 18018, 334, 717, 8527, 3780, 267, 538, 1546, 808, 675, 13852, 328, 1035, 623, 659, 529, 267, 524, 2572, 547, 3504, 8128, 971, 607, 5845, 334, 543, 700, 643, 344, 267, 945, 24016, 7182, 593, 519, 16339, 565, 2747, 540, 834, 514, 534, 1493, 1919, 1701, 263, 1321, 264, 11048, 267, 5103, 1713, 19493, 1876, 13798, 2305, 1282, 519, 476, 866, 628, 543, 476, 736, 628, 5553, 267, 621, 729, 1152, 538, 519, 21987, 540, 519, 10476, 4655, 602, 3978, 8942, 941, 15841, 547, 20818, 6671, 1876, 7182, 593, 519, 2825, 3441, 4611, 689, 3984, 1988, 563, 763, 10476, 2782, 6719, 513, 24659, 538, 519, 1623, 25027, 2078, 1063, 13137, 543, 519, 2518, 12504, 787, 269, 901, 729, 1360, 1454, 519, 2013, 609, 2463, 547, 13137, 781, 2825, 4539, 269, 589, 2101, 1757, 894, 3815, 538, 713, 6521, 729, 1463, 13389, 267, 543, 12879, 267, 540, 519, 1604, 676, 2475, 4229, 547, 3035, 28365, 543, 10512, 6859, 269, 1280, 3236, 267, 547, 4831, 3345, 19176, 543, 8304, 5556, 946, 540, 7733, 543, 10053, 10664, 607, 3382, 585, 6285, 543, 7254, 9822, 2456, 547, 15835, 883, 267, 519, 2136, 2276, 23498, 5176, 1614, 6709, 11467, 540, 513, 2929, 14143, 540, 2244, 1210, 519, 7507, 623, 869, 267, 513, 5230, 8778, 528, 609, 1804, 19059, 7923, 269, 898, 849, 12628, 10786, 15969, 936, 5458, 20073, 525, 540, 3162, 10476, 269, 6684, 267, 538, 513, 13777, 850, 3801, 547, 10654, 519, 2095, 540, 7727, 5045, 1189, 2059, 519, 14208, 15616, 3687, 327, 13009, 267, 519, 2475, 4108, 6079, 539, 12269, 267, 15691, 602, 519, 1671, 5224, 4764, 1131, 11904, 519, 3950, 791, 817, 762, 15301, 1724, 994, 22746, 4238, 1131, 711, 4805, 723, 678, 633, 1540, 3486, 3007, 593, 519, 1641, 540, 2825, 9552, 1282, 8396, 282, 1686, 1185, 14754, 2484, 811, 14042, 4238, 538, 2250, 7526, 1510, 18476, 30411, 269, 1717, 267, 519, 13389, 540, 519, 1604, 543, 922, 946, 607, 513, 1797, 540, 13137, 729, 2921, 1747, 538, 519, 1101, 4922, 751, 4582, 2213, 11439, 4655, 269, 22582, 267, 519, 19742, 2551, 14478, 519, 2112, 3781, 569, 609, 1390, 1719, 543, 16897, 269, 901, 1249, 14626, 3660, 609, 513, 3395, 4550, 8705, 18941, 267, 1312, 538, 519, 2136, 2276, 543, 13383, 269, 898, 849, 7018, 29629, 24345, 609, 519, 4473, 540, 2825, 9637, 811, 3622, 282, 11291, 602, 519, 1101, 834 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 4792, 856, 6361, 23073, 3239, 476, 31798, 1286, 13238, 4371, 2006, 269, 7316, 649, 1796, 2433, 1362, 6927, 1315, 11350, 29945, 3535, 1578, 1007, 26294, 476, 1220, 271, 513, 26894, 270, 9618, 10542, 11239, 29945, 267, 11350, 1299, 552, 9248, 18294, 1818, 519, 2123, 2797, 281, 1362, 538, 519, 1920, 476, 273, 4947, 547, 1362, 9637, 476, 274, 1362, 543, 519, 6214, 540, 2713, 3274, 476, 275, 2724, 17237, 476, 276, 269, 7167, 328, 5657, 626, 13348, 8944, 262, 547, 4766, 519, 954, 24286, 2797, 19523, 1661, 338, 602, 616, 519, 5748, 540, 938, 4182, 781, 6214, 630, 1704, 264, 3976, 267, 29945, 513, 3043, 5256, 666, 581, 513, 1139, 7163, 540, 11440, 626, 3043, 543, 9811, 789, 616, 538, 519, 12102, 11350, 29945, 26342, 269, 6519, 6710, 910, 17642, 788, 20191, 1914, 5611, 272, 342, 268, 19740, 476, 280, 270, 736, 270, 1321, 3043, 6710, 11350, 29945, 4057, 16543, 281, 3043, 17885, 267, 4857, 3043, 6710, 1923, 476, 1960, 476, 3374, 15292, 1422, 280, 3043, 6710, 519, 6214, 540, 1045, 529, 2225, 476, 272, 11350, 11876, 476, 1556, 29945, 2173, 541, 1321, 476, 1704, 3817, 269, 0, 290, 1815, 559, 773, 4667, 547, 723, 3339, 2238, 585, 513, 476, 275, 1032, 6040, 281, 713, 32127, 1025, 1180, 267, 4544, 31991, 8004, 29167, 26725, 630, 9917, 14560, 4737, 534, 693, 330, 8657, 538, 1010, 1909, 607, 519, 804, 636, 1910, 32275, 21167, 269, 19664, 2006, 6794, 630, 553, 264, 568, 6353, 676, 4049, 11095, 8488, 610, 7214, 9659, 267, 4049, 4633, 15717, 267, 32376, 693, 1314, 807, 543, 5924, 12152, 592, 748, 1145, 540, 519, 269, 19664, 2006, 6794, 568, 513, 4524, 538, 3425, 602, 3123, 14715, 2589, 971, 607, 3668, 540, 4633, 267, 28478, 5652, 5322, 267, 543, 20026, 513, 1480, 1591, 814, 1079, 12215, 540, 269, 17461, 21425, 2006, 6794, 568, 513, 4686, 15110, 4719, 4524, 602, 5540, 519, 8401, 1062, 5929, 4162, 540, 21425, 2006, 6794, 1331, 11095, 269, 1215, 568, 21425, 2006, 6794, 8995, 952, 11095, 17799, 616, 2938, 267, 513, 1126, 1058, 581, 2938, 1101, 676, 519, 12963, 1014, 607, 972, 616, 1082, 3123, 540, 11095, 2042, 563, 763, 8984, 2934, 540, 21425, 2006, 6794, 616, 711, 2141, 6654, 693, 4332, 267, 855, 1020, 1282, 6689, 269, 19664, 2006, 6794, 568, 513, 4686, 4524, 4330, 538, 519, 6538, 585, 4686, 3676, 540, 519, 2220, 539, 880, 3084, 4604, 540, 1072, 543, 10304, 269, 6258, 827, 21425, 2006, 6794, 2589, 543, 3123, 689, 4966, 693, 536, 10667, 1453, 779, 267, 19486, 1655, 1453, 779, 6413, 676, 721, 3377, 269, 19664, 2006, 6794, 630, 553, 1070, 849, 1634, 607, 6126, 12470, 564, 6794, 267, 568, 513, 4686, 4719, 4524, 799, 2360, 519, 8401, 1062, 4929, 11095, 17799, 538, 1453, 269, 12834, 21425, 2006, 6794, 568, 513, 4686, 4719, 543, 14715, 4524, 6353, 676, 4049, 11095, 17799, 543, 1565, 9124, 9000, 610, 2282, 9000, 563, 17951, 601, 2006, 6794, 630, 553, 264, 568, 513, 4719, 4524, 602, 5631, 5540, 519, 8401, 1062, 2589, 1331, 513, 1507, 2212, 543, 513, 1808, 11132, 5920, 267, 4049, 269, 476, 10755, 279, 1789, 910, 21425, 2006, 6794, 607, 910, 6126, 12470, 564, 6794, 267, 19497, 910, 21425, 2006, 6794, 15694, 3148, 267, 3769, 606, 13062, 269, 19664, 332, 753, 344, 526, 668, 1030, 323, 333, 7711, 13370, 2006, 21425, 2006, 6794, 5748, 8441, 519, 4656, 543, 2126, 540, 21425, 2006, 6794, 998, 2069, 267, 1344, 267, 1382, 543, 563, 17951, 601, 2006, 6794, 4386, 1141, 972, 568, 513, 4719, 3390, 602, 5540, 1453, 1369, 519, 1101, 476, 273, 268, 274, 1296, 540, 1272, 543, 13978, 1459, 2429, 15296, 1101, 269, 19664, 2006, 6794, 910, 2589, 267, 3123, 267, 5013, 267, 5961, 267, 1272, 19104, 267, 5868, 267, 2126, 713, 568, 513, 4524, 799, 568, 4719, 543, 3123, 9124, 538, 563, 302, 341, 573, 519, 31706, 6801, 4791, 1382, 1353, 547, 6218, 519, 3106, 543, 7145, 540, 606, 3329, 1049, 4915, 593, 1585, 3344, 540, 21425, 2006, 6794, 269, 634, 21425, 2006, 6794, 5748, 12651, 4656, 543, 2126, 540, 21425, 2006, 6794, 998, 2069, 543, 1344, 267, 1382, 267, 543, 1489, 585, 2043, 609, 269, 12580, 540, 21425, 2006, 6794, 1519, 476, 4343, 2564, 2589, 543, 4191, 540, 21425, 2006, 6794, 267, 4244, 21904, 267, 3765, 10972, 1725, 2670, 267, 543, 2953, 5868, 585, 21425, 2006, 563, 20055, 995, 2472, 547, 2087, 519, 3232, 2729, 540, 1346, 609, 21425, 2006, 6794, 543, 782, 2027, 2115, 21425, 2006, 2221, 814, 4607, 606, 12600, 27592, 547, 1711, 513, 563, 4462, 760, 1861, 531, 771, 3912, 281, 9299, 1457, 2914, 650, 328, 6794, 267, 21425, 2006, 6794, 1018, 568, 796, 760, 1861, 531, 771, 3912, 7363, 267, 596, 27836, 476, 272, 5299, 540, 1142, 15694, 6292, 689, 707, 6211, 269, 19664, 2006, 6794, 568, 513, 4719, 4524, 602, 5097, 5540, 519, 8401, 1062, 8984, 2934, 540, 713, 2783, 1331, 11095, 8488, 269, 1548, 568, 21425, 2006, 6794, 713, 3391, 6941, 4191, 267, 2589, 543, 5868, 538, 1453, 267, 7132, 2229, 2038, 6304, 7616, 585, 21425, 2006, 6794, 269, 19664, 2006, 6794, 3377, 568, 14553, 513, 3377, 543, 1344, 3896, 827, 519, 2068, 621, 1281, 711, 1683, 2564, 5796, 267, 5868, 610, 2126, 269, 25103, 5868, 9241, 8995, 5013, 827, 21425, 2006, 6794, 4719, 4152, 22475, 543, 2200, 2564, 1344, 21425, 2006, 6794, 5615, 21141, 269, 3733, 476, 275, 1032, 2025, 8250, 4731, 11672, 1352, 814, 21425, 2006, 6794, 269, 19664, 2006, 6794, 1344, 1519, 2589, 267, 5868, 267, 3765, 10972, 1725, 2670, 267, 2126, 267, 3123, 267, 3461, 2984, 267, 7044, 267, 15473, 267, 6604, 267, 543, 23567, 563, 17273, 9115, 272, 827, 21425, 2006, 6794, 273, 1686, 540, 21425, 2006, 6794, 274, 21425, 2006, 6794, 21425, 2006, 6794, 2589, 267, 5961, 267, 3123, 267, 1272, 19104, 269, 19664, 2006, 6794, 1107, 1265, 856, 811, 827, 2589, 267, 3123, 543, 2126, 540, 713, 4686, 14715, 543, 11095, 4524, 269, 1548, 568, 21425, 2006, 6794, 21425, 2006, 6794, 568, 513, 4719, 4524, 602, 5540, 519, 8401, 1062, 543, 3123, 4049, 2168, 543, 7214, 9659, 621, 269, 2051, 514, 2484, 22641, 3081, 646, 1412, 531, 2865, 13264, 538, 3368, 262, 950, 1010, 5067, 3576, 1010, 1101, 3268, 519, 2698, 11291, 17076, 781, 7800, 652, 1126, 28642, 267, 8370, 267, 23119, 689, 21425, 2006, 6794, 910, 513, 269, 6481, 4214, 540, 21425, 2006, 6794, 281, 513, 4719, 4524, 6353, 676, 4049, 2790, 29472, 566, 267, 17465, 267, 693, 1314, 545, 32376, 267, 28478, 5652, 5322, 267, 3668, 269, 0, 763, 13169, 676, 695, 597, 2917, 795, 11055, 610, 1022, 2147, 1888, 1152, 585, 596, 1931, 1631, 1775, 4718, 596, 4444, 606, 1557, 2688, 1603, 12031, 1603, 1557, 5856, 269, 968, 1492, 695, 597, 2917, 5022, 892, 616, 513, 4015, 540, 476, 2190, 19815, 956, 2854, 676, 546, 877, 695, 597, 2917, 547, 1200, 11078, 12387, 569, 538, 1007, 24469, 1063, 694, 4697, 476, 6977, 272, 543, 562, 4912, 476, 6977, 273, 1759, 269, 634, 695, 597, 2917, 5022, 689, 519, 1608, 4727, 15183, 267, 476, 6977, 272, 268, 6977, 273, 519, 1433, 5956, 609, 513, 1360, 1279, 1557, 827, 519, 5022, 267, 711, 609, 519, 5022, 2933, 269, 634, 13169, 676, 695, 597, 2917, 795, 11055, 568, 519, 1650, 540, 513, 8498, 1739, 513, 2245, 602, 2164, 538, 519, 15093, 540, 835, 12504, 1142, 1032, 676, 588, 11238, 519, 1313, 14833, 269, 10749, 543, 9880, 593, 695, 597, 2917, 795, 11055, 781, 519, 13169, 519, 13169, 795, 11055, 267, 695, 597, 2917, 910, 1557, 695, 597, 2917, 795, 11055, 543, 621, 6383, 7366, 540, 5022, 689, 3988, 563, 10267, 777, 652, 1957, 1557, 593, 519, 13169, 676, 695, 597, 2917, 795, 11055, 579, 540, 524, 1557, 1603, 3391, 25644, 540, 1557, 269, 5131, 695, 597, 2917, 795, 11055, 781, 519, 13169, 4574, 267, 3594, 267, 543, 1382, 4574, 269, 634, 2110, 1650, 9232, 519, 13169, 892, 676, 695, 597, 2917, 795, 11055, 729, 513, 14845, 543, 9642, 1224, 585, 803, 2705, 267, 621, 729, 2189, 607, 1134, 4358, 1055, 267, 519, 1650, 12857, 519, 269, 5131, 3732, 910, 513, 2542, 540, 695, 597, 2917, 795, 11055, 781, 519, 13169, 649, 723, 10356, 519, 1655, 1557, 5439, 543, 2852, 1557, 5439, 602, 941, 2854, 676, 3318, 1557, 563, 2005, 568, 513, 9425, 1455, 12605, 602, 3025, 538, 938, 2486, 4422, 998, 1018, 568, 1572, 513, 968, 13232, 5158, 16839, 892, 513, 942, 540, 556, 3887, 1998, 6672, 540, 519, 1272, 835, 814, 3366, 543, 269, 1744, 597, 2917, 795, 11055, 779, 968, 1492, 13169, 892, 1557, 3732, 1025, 320, 1025, 320, 1603, 968, 1492, 13169, 892, 676, 695, 597, 2917, 795, 11055, 568, 513, 26648, 2110, 1650, 799, 4386, 538, 519, 563, 763, 13169, 3594, 910, 695, 597, 2917, 795, 11055, 781, 519, 13169, 678, 259, 1353, 321, 599, 1129, 909, 2845, 538, 29444, 1557, 1603, 695, 597, 2917, 795, 11055, 781, 519, 13169, 1557, 269, 901, 1957, 2488, 513, 2689, 543, 11828, 519, 3140, 2796, 538, 1412, 1492, 695, 597, 2917, 5022, 269, 634, 13169, 676, 695, 597, 2917, 795, 11055, 6645, 606, 10578, 267, 2219, 4538, 543, 23892, 1650, 267, 676, 1210, 14908, 540, 13513, 267, 5188, 543, 22509, 17495, 12976, 563, 13625, 1603, 948, 689, 596, 666, 849, 581, 6462, 676, 513, 1761, 3390, 585, 519, 1697, 2804, 543, 1514, 5126, 538, 2575, 13169, 519, 676, 695, 597, 2917, 795, 11055, 3594, 269, 589, 5578, 2259, 547, 1603, 519, 18399, 543, 9547, 540, 1134, 27787, 3594, 267, 5359, 267, 543, 5022, 476, 1001, 278, 695, 584, 2917, 14292, 2326, 267, 1651, 269, 3503, 1250, 10467, 519, 13169, 695, 597, 2917, 795, 11055, 1557, 2228, 1557, 948, 10004, 5098, 6718, 269, 2296, 544, 323, 281, 519, 13169, 676, 695, 597, 2917, 795, 11055, 3860, 1603, 1557, 563, 2108, 1492, 7872, 540, 9409, 892, 676, 695, 597, 2917, 795, 11055, 7005, 3332, 1557, 1603, 3028, 3594, 811, 7005, 3332, 3594, 1806, 540, 938, 960, 7005, 269, 901, 1557, 568, 827, 519, 13169, 676, 695, 597, 2917, 795, 11055, 795, 11055, 18271, 513, 1603, 2511, 16041, 609, 6698, 543, 2592, 713, 1259, 1352, 7512, 1200, 3988, 547, 269, 0, 14549, 2924, 607, 513, 2518, 3390, 519, 8087, 10806, 814, 519, 1480, 2924, 957, 476, 1960, 279, 1806, 540, 2477, 602, 723, 1044, 2377, 14417, 539, 689, 519, 8087, 2829, 269, 3194, 1557, 3732, 593, 519, 1480, 2924, 3390, 540, 1368, 656, 534, 30790, 15922, 2688, 1557, 1603, 3486, 2924, 2829, 1480, 519, 8087, 2829, 2229, 3112, 269, 5994, 3054, 607, 513, 5234, 4759, 540, 519, 8087, 6082, 8655, 547, 1832, 5605, 817, 611, 832, 909, 547, 4266, 593, 1480, 2924, 2152, 543, 2229, 4507, 547, 2232, 873, 269, 589, 2528, 540, 10751, 267, 5916, 609, 5198, 268, 543, 1362, 2861, 1918, 639, 267, 814, 3366, 519, 8087, 2829, 547, 7048, 593, 23948, 566, 811, 8185, 982, 1022, 824, 2197, 538, 269, 19129, 29729, 11776, 1480, 2924, 1851, 1866, 1034, 540, 891, 11082, 2356, 1847, 547, 519, 2919, 2477, 2161, 519, 8087, 2829, 538, 3406, 540, 1134, 269, 634, 513, 743, 340, 11082, 685, 2924, 1788, 568, 950, 519, 2229, 814, 519, 1379, 547, 20912, 3656, 2924, 543, 1813, 519, 8087, 2829, 1590, 2149, 519, 2924, 540, 269, 1215, 1705, 519, 1480, 2924, 3390, 2097, 827, 875, 568, 519, 8087, 2829, 2229, 14775, 547, 519, 3390, 1557, 827, 2229, 2229, 476, 15996, 277, 1107, 476, 28883, 563, 7072, 538, 519, 12687, 540, 519, 14374, 883, 5087, 737, 648, 320, 779, 1480, 2924, 1557, 827, 8087, 2829, 2229, 2924, 543, 9021, 540, 5087, 737, 17671, 269, 2136, 2829, 3915, 540, 2924, 543, 1273, 4459, 29165, 1557, 8087, 2829, 3915, 1480, 2924, 6760, 538, 519, 8087, 2829, 1557, 1480, 2924, 11305, 31870, 538, 519, 8087, 2829, 269, 3683, 519, 2250, 1896, 1296, 267, 519, 8087, 2829, 814, 1831, 513, 2101, 3077, 540, 9880, 676, 3056, 1480, 2924, 3906, 1312, 993, 333, 17965, 3486, 543, 1480, 2924, 4585, 723, 9783, 513, 3126, 540, 5359, 799, 5641, 580, 622, 13314, 585, 922, 2126, 540, 12102, 2516, 267, 2021, 267, 14586, 267, 11082, 543, 28357, 32339, 267, 543, 7803, 9718, 1218, 269, 634, 3540, 2924, 3350, 519, 8087, 2829, 9411, 519, 29053, 1158, 607, 519, 1582, 649, 5279, 21393, 267, 25643, 513, 3126, 540, 1480, 2924, 28407, 1996, 269, 5131, 1557, 281, 1480, 2924, 6057, 593, 519, 721, 2173, 1410, 4618, 6707, 4947, 547, 519, 8087, 2829, 519, 1480, 1646, 10296, 6161, 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 ]
[ 25249, 563, 276, 269, 1548, 568, 519, 14890, 781, 2012, 945, 30486, 1954, 525, 689, 519, 12356, 888, 14112, 8382, 5999, 454, 272, 269, 1548, 1281, 14639, 20710, 16279, 5635, 519, 21543, 538, 24006, 10603, 32490, 547, 888, 273, 269, 1548, 1281, 7225, 553, 5635, 17363, 8834, 781, 4064, 547, 538, 834, 763, 12280, 540, 7225, 553, 257, 888, 274, 269, 4340, 547, 519, 1433, 267, 1141, 941, 645, 7596, 11253, 790, 781, 1034, 7415, 9954, 3370, 888, 275, 269, 5808, 6645, 7225, 553, 834, 527, 568, 11880, 1304, 585, 596, 602, 835, 812, 1058, 5884, 585, 519, 1004, 257, 888, 276, 269, 4340, 547, 519, 15669, 538, 834, 763, 18648, 15196, 781, 23625, 2580, 1018, 723, 1453, 4121, 547, 798, 888, 1607, 3296, 3568, 476, 24241, 1913, 454, 26140, 269, 476, 272, 2985, 693, 476, 4968, 1913, 829, 2985, 264, 0, 3891, 568, 4583, 585, 1010, 3126, 540, 29632, 573, 673, 2665, 602, 941, 9565, 538, 13373, 5109, 10553, 4123, 538, 519, 1533, 269, 634, 2665, 29653, 519, 1850, 1275, 540, 8474, 267, 1210, 519, 11156, 3964, 538, 476, 9965, 271, 269, 17859, 540, 519, 1249, 7498, 12606, 3758, 547, 1294, 3105, 3817, 2483, 763, 9632, 7015, 5747, 267, 799, 2451, 1864, 896, 519, 9562, 540, 1010, 6885, 539, 11078, 269, 2701, 2663, 9310, 20388, 2581, 267, 945, 10726, 1864, 16094, 543, 7142, 1864, 547, 2132, 547, 519, 20388, 2581, 3484, 563, 763, 3355, 27779, 676, 21701, 1996, 20388, 1707, 729, 585, 6007, 543, 14213, 269, 1717, 267, 20388, 2581, 4831, 647, 539, 519, 27974, 6202, 14552, 585, 3843, 547, 1303, 823, 21701, 269, 634, 5480, 3964, 602, 21701, 729, 513, 1954, 17507, 543, 13752, 1864, 476, 2004, 6550, 538, 14796, 585, 519, 7063, 646, 13455, 538, 519, 4402, 532, 269, 21231, 646, 1185, 1185, 647, 539, 585, 476, 4968, 335, 2432, 855, 519, 9794, 1152, 5795, 1864, 476, 2004, 269, 5015, 20388, 2581, 779, 9029, 729, 28336, 950, 646, 8959, 547, 2408, 1354, 519, 5480, 269, 769, 713, 942, 1974, 267, 519, 12590, 5480, 1500, 741, 16488, 538, 3870, 540, 519, 10437, 945, 647, 539, 741, 18544, 1210, 519, 476, 9965, 271, 11156, 957, 563, 1103, 519, 2013, 540, 20388, 2581, 5288, 269, 2836, 323, 6202, 267, 2417, 7778, 786, 581, 2016, 269, 20388, 1707, 4465, 519, 1101, 4693, 1996, 2836, 323, 6202, 543, 729, 13752, 476, 1839, 6550, 269, 1717, 267, 2390, 9029, 267, 519, 10966, 7040, 936, 337, 27968, 713, 3375, 269, 2836, 323, 13665, 779, 17864, 1759, 741, 9029, 593, 519, 1249, 602, 8474, 729, 606, 1055, 775, 543, 513, 21556, 540, 2696, 779, 2067, 4031, 269, 634, 15194, 540, 519, 10966, 7040, 543, 519, 1101, 15194, 616, 5812, 607, 789, 616, 1312, 1996, 8474, 269, 4634, 1498, 789, 946, 1114, 7285, 547, 28586, 8474, 789, 616, 1312, 1996, 621, 563, 763, 3803, 2013, 20448, 5288, 269, 20388, 2581, 267, 519, 24769, 729, 1336, 16944, 593, 519, 6007, 10997, 607, 519, 5480, 3964, 602, 646, 1185, 16091, 606, 17608, 1863, 812, 269, 5015, 267, 21701, 1185, 1044, 16219, 5191, 693, 519, 2085, 540, 476, 1839, 676, 1010, 3355, 18544, 269, 634, 5480, 3964, 602, 20388, 2581, 729, 3222, 540, 713, 2339, 543, 1185, 1100, 1318, 547, 1832, 21701, 1996, 1010, 786, 1577, 4805, 4323, 1864, 269, 20388, 2581, 779, 17864, 5667, 15471, 2685, 11130, 602, 519, 11156, 540, 476, 9965, 271, 1705, 711, 2047, 10238, 527, 8474, 269, 1717, 267, 519, 12751, 10456, 5261, 595, 5241, 17792, 891, 31482, 543, 7150, 602, 519, 11156, 22234, 2924, 547, 519, 1004, 602, 1705, 711, 1450, 4896, 547, 581, 20665, 563, 1607, 2013, 814, 454, 1862, 12606, 3758, 547, 1294, 1985, 3817, 5649, 2859, 454, 2026, 519, 1867, 32141, 1585, 2010, 540, 7292, 11475, 11478, 538, 1977, 1354, 519, 4417, 540, 8474, 269, 634, 946, 540, 7292, 11475, 18175, 10232, 610, 9714, 525, 519, 1871, 540, 513, 1895, 538, 2489, 543, 5337, 2803, 519, 2956, 543, 22464, 540, 519, 1367, 269, 6215, 2314, 941, 3144, 689, 519, 27797, 3109, 18441, 269, 26913, 568, 519, 1126, 540, 10168, 563, 2026, 519, 1957, 267, 634, 26913, 3590, 9701, 5620, 570, 2586, 513, 7756, 13979, 267, 17613, 744, 5055, 644, 1695, 4982, 10730, 30778, 2239, 2829, 602, 8474, 568, 606, 1995, 1100, 1268, 1058, 979, 998, 267, 1100, 2339, 519, 6381, 269, 634, 4473, 540, 3864, 10125, 538, 519, 1977, 1327, 1275, 2799, 519, 25680, 991, 540, 10437, 269, 4000, 4843, 513, 2344, 547, 6718, 10437, 563, 763, 1433, 968, 763, 3509, 6953, 1737, 539, 10281, 571, 892, 8774, 1769, 593, 519, 8474, 538, 519, 2796, 540, 16851, 543, 5198, 269, 11572, 16839, 538, 519, 4789, 538, 519, 1647, 540, 519, 2473, 23997, 2540, 3812, 9840, 602, 1185, 20582, 519, 8474, 711, 676, 519, 5198, 267, 855, 676, 519, 1362, 269, 634, 1646, 540, 519, 8474, 538, 9533, 3148, 2813, 2175, 585, 519, 5920, 540, 16851, 563, 2026, 519, 1957, 17613, 6353, 676, 1114, 2853, 607, 1134, 607, 12331, 540, 6388, 267, 1114, 6589, 2322, 8521, 676, 2043, 945, 941, 2901, 2047, 610, 18549, 3238, 538, 8474, 1683, 1114, 2157, 540, 1702, 4143, 538, 1620, 3504, 8474, 269, 6307, 13584, 2272, 593, 8474, 814, 1044, 796, 29434, 3585, 17019, 563, 29995, 267, 891, 25034, 3293, 22063, 267, 945, 1131, 7930, 1106, 513, 8628, 1362, 540, 10437, 267, 941, 711, 2818, 540, 519, 11031, 602, 1031, 873, 607, 10437, 855, 941, 9676, 14586, 689, 824, 2950, 267, 610, 1256, 14586, 945, 1185, 8149, 646, 29532, 6411, 269, 5502, 540, 1373, 23689, 676, 741, 3061, 832, 267, 789, 1131, 581, 7142, 547, 960, 607, 8628, 22063, 540, 519, 2146, 610, 14316, 563, 7212, 1671, 15590, 1441, 538, 519, 3312, 18678, 3561, 267, 519, 3747, 540, 3160, 2924, 3109, 4892, 814, 1279, 1044, 519, 2707, 540, 1486, 26167, 12959, 1063, 519, 16543, 5354, 543, 519, 12102, 1004, 540, 2681, 267, 5631, 519, 3979, 31787, 267, 936, 24677, 540, 1898, 1480, 2924, 563, 6097, 547, 519, 1867, 267, 3703, 26913, 538, 519, 5664, 540, 519, 476, 1240, 628, 11416, 267, 519, 10553, 4123, 3366, 547, 519, 11288, 540, 10437, 689, 741, 4630, 601, 1343, 883, 6628, 543, 824, 6082, 899, 519, 2475, 547, 14183, 519, 3395, 14031, 585, 3109, 11668, 269, 6215, 2314, 3366, 547, 519, 1689, 540, 1629, 2762, 540, 6628, 19962, 547, 519, 4611, 4838, 540, 2199, 11615, 563, 6097, 547, 519, 1867, 1585, 19237, 941, 849, 7150, 538, 18149, 940, 8474, 676, 2165, 532, 621, 607, 513, 5609, 543, 606, 22573, 1259, 540, 2713, 269, 634, 16543, 941, 4397, 547, 8207, 519, 3390, 543, 13918, 519, 17051, 607, 2407, 2818, 540, 519, 1977, 2486, 269, 26913, 729, 849, 2404, 609, 27102, 519, 17051, 1585, 2924, 899, 13359, 563, 280, 9664, 263, 18597, 271, 1913, 264, 13625, 454, 294, 5588, 589, 13138, 27912, 312, 32530, 3582, 286, 23414, 292, 25893, 4888, 4888, 14684, 2207, 20978, 22295, 19006, 22244, 17395, 9358, 2336, 4131, 721, 1265, 596, 1776, 4828, 593, 1888, 589, 2513, 7321, 540, 26913, 630, 22709, 4700, 585, 17676, 256, 0, 5804, 634, 5794, 910, 9931, 16305, 8235, 454, 310, 9994, 320, 8235, 568, 513, 10875, 1383, 540, 513, 12620, 6053, 4646, 10720, 267, 1166, 1678, 539, 676, 1079, 14694, 2849, 664, 525, 7532, 543, 7178, 543, 513, 12363, 2849, 12578, 693, 519, 5087, 1439, 269, 634, 10720, 568, 5111, 476, 274, 269, 276, 5195, 1279, 267, 827, 476, 382, 378, 540, 513, 13304, 2647, 267, 609, 513, 3178, 540, 827, 476, 4968, 3952, 269, 834, 5804, 634, 5794, 892, 835, 666, 3362, 1294, 519, 646, 3058, 1085, 712, 540, 519, 27224, 602, 6410, 998, 1934, 476, 1015, 267, 1822, 1296, 3516, 269, 634, 2283, 783, 24208, 540, 2244, 8761, 1896, 8441, 543, 18956, 338, 540, 3504, 4672, 563, 763, 12557, 547, 3035, 713, 8929, 729, 2565, 269, 634, 834, 30720, 257, 540, 942, 547, 7001, 519, 10239, 1869, 1309, 5529, 609, 2973, 3043, 6777, 543, 519, 1025, 5074, 5614, 3039, 8720, 519, 4478, 2849, 664, 525, 543, 14860, 267, 568, 1360, 1507, 269, 10705, 676, 942, 519, 14860, 568, 3039, 543, 596, 1205, 513, 2312, 1554, 547, 8038, 267, 519, 6777, 568, 13897, 1792, 8898, 543, 973, 5338, 3728, 269, 594, 24363, 513, 1297, 540, 1296, 1354, 594, 9676, 513, 5888, 17709, 540, 1820, 563, 310, 9994, 320, 8235, 10908, 18432, 5651, 664, 525, 292, 14410, 7167, 8187, 1676, 1145, 278, 654, 1180, 619, 540, 14822, 0, 12709, 9732, 3377, 9732, 3381, 3756, 666, 1764, 3214, 585, 1434, 610, 2192, 519, 10795, 3381, 3014, 2360, 593, 891, 2090, 1397, 602, 519, 1543, 540, 519, 3381, 3756, 6107, 269, 1924, 875, 798, 3381, 3756, 1860, 14038, 676, 17488, 534, 737, 340, 334, 910, 694, 4697, 476, 275, 267, 476, 1001, 275, 476, 25396, 5881, 476, 272, 2671, 26725, 17245, 910, 1492, 2360, 540, 10795, 3381, 3756, 593, 14038, 269, 1684, 10795, 3381, 3756, 3565, 547, 6107, 5208, 1224, 5294, 267, 931, 267, 543, 4274, 6114, 538, 519, 7521, 269, 634, 4145, 827, 3381, 3756, 5103, 519, 5458, 1764, 540, 3381, 3756, 593, 6107, 917, 1360, 2370, 827, 519, 2360, 602, 3381, 3756, 949, 723, 593, 1453, 779, 269, 20134, 2360, 540, 3381, 3756, 593, 6107, 519, 1764, 540, 11080, 593, 2221, 781, 6107, 568, 513, 3810, 11786, 1641, 972, 616, 1079, 3506, 540, 1498, 950, 621, 2501, 547, 519, 269, 1677, 1449, 2436, 10795, 3756, 1185, 513, 3152, 1198, 593, 1453, 945, 941, 811, 891, 2090, 1397, 602, 519, 1543, 540, 519, 3381, 3756, 6107, 1404, 269, 4317, 1272, 267, 3500, 1646, 910, 2360, 540, 3381, 3756, 593, 6107, 269, 6496, 707, 7141, 29279, 547, 3381, 3756, 1616, 547, 917, 519, 2589, 540, 3381, 3014, 8213, 1224, 519, 2318, 1299, 2942, 2360, 540, 3381, 3756, 593, 14038, 563, 31339, 2360, 540, 3381, 3756, 1453, 543, 1762, 1004, 607, 519, 2601, 1946, 930, 6107, 1831, 10795, 610, 1360, 2318, 2360, 540, 3381, 3756, 593, 269, 11473, 3014, 27900, 616, 6848, 543, 519, 2318, 543, 2942, 4162, 543, 2360, 540, 3381, 3756, 616, 519, 6107, 945, 3576, 851, 538, 269, 6258, 827, 519, 1434, 543, 3983, 2360, 540, 3381, 3756, 547, 3214, 689, 23021, 547, 14038, 2687, 547, 3173, 267, 1126, 16895, 543, 5778, 27023, 1235, 269, 634, 3377, 568, 2407, 540, 2984, 827, 519, 2360, 540, 3381, 3756, 593, 1453, 2687, 547, 519, 7740, 585, 2068, 1852, 543, 6604, 267, 3381, 3756, 616, 3743, 585, 269, 1715, 23892, 2963, 593, 519, 2360, 3381, 3756, 723, 593, 6107, 536, 13512, 713, 568, 4625, 16995, 267, 865, 1810, 1405, 2022, 4502, 1652, 8292, 602, 1224, 16995, 891, 563, 1015, 2318, 2360, 540, 3381, 3756, 1434, 5026, 26206, 543, 4023, 25178, 616, 2418, 602, 616, 4122, 2919, 538, 6107, 5026, 543, 3906, 3381, 3756, 2709, 269, 634, 1353, 6920, 602, 968, 1492, 2942, 2360, 540, 2085, 950, 621, 2501, 547, 3381, 3756, 5227, 676, 585, 15816, 476, 274, 4128, 1453, 991, 513, 3381, 3014, 269, 901, 2376, 786, 849, 1413, 693, 519, 1761, 2069, 10626, 540, 3381, 3756, 543, 519, 1198, 540, 3756, 1198, 540, 2756, 690, 1868, 593, 2875, 9740, 593, 6107, 269, 15272, 5925, 9423, 1299, 9644, 3744, 6743, 693, 1312, 519, 2942, 543, 2318, 2360, 540, 3381, 3756, 15833, 568, 519, 2228, 8756, 585, 563, 309, 2723, 550, 3381, 3014, 1404, 5012, 1762, 2367, 547, 3494, 621, 781, 11807, 547, 8673, 17089, 543, 4235, 4568, 267, 2687, 547, 519, 5767, 1353, 593, 519, 3059, 269, 5131, 1557, 281, 519, 2942, 2360, 540, 10795, 3381, 3756, 593, 1453, 543, 14038, 2094, 519, 4417, 540, 11777, 13234, 9095, 1228, 3756, 267, 3381, 3756, 723, 2097, 513, 269, 28024, 696, 923, 4831, 602, 519, 4767, 2360, 949, 711, 581, 3361, 676, 5208, 789, 1448, 856, 602, 10795, 3381, 3756, 616, 1419, 811, 4101, 267, 5488, 533, 3166, 267, 543, 811, 563, 2304, 2376, 2854, 676, 543, 16699, 6862, 25556, 3823, 519, 1764, 540, 3381, 3756, 593, 1336, 602, 6107, 2085, 476, 279, 547, 476, 1240, 2360, 540, 10795, 3381, 3756, 593, 269, 2552, 9009, 547, 2442, 3661, 267, 3381, 3756, 949, 2965, 723, 2318, 2640, 593, 2588, 1695, 781, 6107, 269, 1684, 10795, 3381, 3756, 3565, 547, 6107, 5208, 1614, 6901, 8959, 547, 1265, 513, 17672, 1198, 540, 10795, 3381, 3756, 593, 5294, 3469, 2623, 563, 288, 1007, 1382, 814, 1336, 2318, 2360, 540, 10795, 3381, 3756, 593, 6107, 267, 17591, 532, 1896, 2250, 2090, 602, 1767, 6382, 519, 1353, 3370, 538, 6530, 269, 968 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1323, 1367, 779, 3903, 547, 2901, 9784, 610, 5706, 519, 4161, 568, 8185, 6766, 676, 2250, 2833, 543, 519, 29298, 540, 891, 2833, 593, 568, 519, 3483, 540, 519, 5098, 267, 606, 1367, 779, 2631, 540, 1582, 2914, 2180, 269, 11957, 2986, 11879, 11305, 805, 633, 256, 5637, 9758, 3347, 543, 593, 16080, 25703, 267, 4276, 547, 1018, 568, 519, 3206, 538, 2069, 513, 1880, 2168, 1604, 666, 849, 1860, 519, 3210, 540, 606, 1018, 568, 519, 1292, 540, 519, 3948, 1367, 543, 5000, 873, 547, 9784, 519, 4161, 269, 10748, 1466, 2073, 10748, 1466, 3069, 2073, 7731, 476, 14625, 272, 9293, 1923, 476, 274, 9664, 563, 289, 13717, 532, 281, 744, 2091, 553, 4457, 543, 2274, 1695, 269, 5617, 784, 532, 568, 513, 2067, 1480, 15859, 540, 875, 649, 5581, 6000, 538, 519, 1158, 649, 616, 2713, 538, 269, 1772, 634, 769, 4065, 256, 3776, 10362, 547, 610, 4296, 1547, 609, 1004, 267, 4025, 543, 2516, 5512, 721, 547, 1020, 606, 2189, 4162, 538, 938, 14789, 269, 19080, 2201, 15099, 256, 3776, 8226, 540, 10362, 568, 6766, 676, 519, 2123, 267, 2686, 267, 3140, 543, 1514, 2796, 540, 938, 10450, 269, 1548, 1772, 634, 11957, 769, 4065, 256, 14740, 267, 2146, 267, 2486, 779, 10182, 267, 3347, 543, 2528, 616, 3344, 540, 10362, 602, 3565, 547, 22962, 610, 15052, 938, 2631, 540, 5617, 784, 532, 610, 269, 3703, 4457, 2073, 3624, 2073, 4457, 1893, 476, 10482, 275, 9293, 1923, 476, 274, 9664, 269, 26613, 4828, 593, 5617, 784, 532, 630, 19770, 3213, 514, 543, 31594, 19577, 674, 775, 264, 7790, 288, 2631, 540, 10362, 610, 711, 10362, 666, 10836, 689, 519, 4296, 1500, 609, 1004, 267, 4025, 267, 2516, 267, 2950, 543, 519, 1547, 3677, 1158, 269, 1215, 1281, 713, 4019, 547, 968, 763, 3624, 3213, 514, 9232, 286, 3414, 513, 1353, 540, 519, 3209, 968, 1492, 3624, 3213, 514, 9232, 676, 30129, 13391, 650, 773, 267, 621, 666, 581, 2938, 602, 513, 2631, 540, 1557, 267, 10362, 610, 711, 10362, 666, 10836, 689, 519, 4296, 1500, 609, 1004, 267, 4025, 267, 2516, 267, 2950, 543, 519, 3677, 1158, 269, 901, 1557, 786, 2263, 875, 513, 2631, 540, 10362, 610, 711, 10362, 10953, 689, 519, 1292, 3197, 17483, 23322, 2073, 3624, 2073, 3967, 12275, 321, 732, 330, 476, 278, 5325, 9293, 1923, 476, 273, 9664, 269, 2274, 1695, 779, 2672, 527, 13826, 634, 2063, 942, 1352, 4682, 593, 513, 7552, 899, 713, 1352, 7340, 547, 3142, 930, 1271, 1919, 267, 865, 713, 942, 1352, 4465, 1406, 7340, 269, 2986, 11879, 11305, 805, 633, 256, 901, 942, 1352, 786, 1547, 581, 24386, 1200, 19033, 779, 3213, 514, 1317, 519, 814, 2366, 14939, 2418, 547, 1200, 267, 713, 729, 1018, 1200, 19033, 2141, 14437, 827, 1354, 646, 5747, 543, 849, 1317, 713, 568, 1018, 1200, 19033, 729, 865, 1336, 540, 269, 2368, 2724, 827, 1269, 2004, 268, 1911, 5245, 267, 630, 6518, 568, 827, 476, 4968, 268, 7785, 962, 10224, 538, 4457, 1040, 2701, 1131, 991, 713, 547, 948, 1200, 1205, 1472, 267, 4444, 1426, 543, 952, 1352, 4991, 4503, 676, 1022, 4960, 269, 3689, 5351, 2073, 12619, 476, 24907, 9293, 1923, 476, 273, 9664, 269, 634, 22830, 540, 5617, 784, 532, 538, 3624, 3213, 514, 676, 30129, 13391, 650, 773, 269, 1434, 10543, 782, 519, 19700, 267, 10950, 1394, 547, 519, 3872, 1397, 2048, 325, 1371, 593, 2852, 733, 3949, 267, 4866, 685, 689, 519, 5925, 6728, 29482, 476, 6200, 269, 280, 693, 476, 1240, 281, 1789, 2073, 594, 6557, 6307, 563, 9213, 568, 2956, 3206, 938, 1547, 12257, 547, 723, 519, 21917, 540, 513, 3811, 1433, 2048, 3624, 3213, 514, 11313, 30129, 13391, 650, 773, 547, 581, 1934, 609, 721, 269, 10749, 16797, 13231, 344, 256, 1284, 786, 2911, 827, 519, 2856, 540, 10362, 602, 616, 4843, 538, 1010, 1433, 269, 11957, 2986, 11879, 11305, 805, 633, 769, 4065, 256, 8080, 30129, 13391, 650, 773, 8206, 263, 514, 606, 9599, 3159, 264, 30129, 13391, 650, 773, 281, 19743, 6307, 267, 32597, 3025, 269, 630, 8799, 5639, 264, 6307, 281, 15020, 1434, 7064, 269, 1082, 540, 1250, 2828, 543, 594, 723, 1224, 707, 1433, 269, 1284, 782, 269, 3624, 2073, 4457, 3332, 2073, 12896, 3901, 673, 1268, 476, 4792, 280, 9293, 1923, 476, 273, 9664, 269, 609, 1864, 267, 6238, 22090, 27128, 547, 1200, 3659, 24053, 3587, 11849, 3139, 540, 945, 646, 814, 1831, 267, 3310, 540, 5098, 267, 711, 10362, 13998, 543, 519, 3017, 1547, 602, 2724, 2306, 590, 1080, 593, 519, 1482, 7944, 1169, 1554, 267, 12851, 547, 519, 4259, 855, 8449, 3085, 1406, 4866, 1813, 547, 1514, 4567, 20242, 2583, 1482, 1004, 3802, 676, 1169, 1554, 543, 1018, 568, 519, 2956, 3206, 538, 2069, 267, 5469, 602, 646, 779, 972, 855, 2760, 948, 1864, 13957, 29862, 8709, 2501, 267, 646, 7959, 513, 2631, 540, 1557, 733, 3949, 267, 10362, 7487, 519, 1018, 568, 519, 538, 2069, 5432, 8188, 945, 948, 1864, 267, 5872, 2878, 265, 634, 5432, 16079, 540, 3728, 533, 3166, 9087, 1824, 269, 5484, 577, 2073, 700, 13806, 519, 1557, 593, 16080, 25703, 20550, 13239, 2073, 1744, 877, 476, 15836, 273, 9293, 1923, 476, 275, 9664, 563, 763, 3624, 3213, 514, 21909, 539, 4267, 21909, 539, 4267, 547, 1382, 2534, 11905, 476, 272, 22335, 281, 8187, 4210, 753, 676, 28044, 26284, 267, 4469, 5446, 334, 1547, 23255, 267, 476, 1960, 273, 267, 3848, 476, 278, 8187, 4210, 753, 568, 540, 2565, 11305, 805, 633, 3206, 513, 2123, 2272, 540, 1614, 5481, 540, 2021, 538, 3624, 1547, 769, 713, 3184, 28044, 26284, 5638, 519, 1995, 540, 1200, 3993, 593, 519, 7043, 4728, 2066, 3624, 547, 3262, 519, 2093, 540, 519, 21340, 6205, 267, 31474, 2098, 539, 784, 269, 2991, 10707, 689, 29883, 345, 17924, 547, 570, 1014, 329, 514, 676, 5721, 789, 1185, 547, 476, 1001, 275, 3136, 741, 3460, 593, 1018, 568, 519, 538, 2069, 267, 3723, 269, 634, 8905, 729, 9808, 9853, 609, 269, 19864, 2073, 4004, 1143, 2073, 19797, 9549, 540, 3624, 476, 6924, 277, 275, 9293, 1923, 476, 1626, 9664, 269, 15101, 290, 281, 9351, 540, 5530, 634, 9351, 540, 5530, 585, 15101, 290, 476, 1220, 280, 910, 476, 1001, 273, 568, 733, 3949, 5617, 784, 532, 1547, 21909, 687, 585, 1644, 1570, 1548, 1281, 10362, 1547, 1611, 286, 3245, 519, 10228, 9218, 543, 634, 28445, 281, 4866, 267, 8231, 267, 476, 272, 547, 581, 1318, 569, 2322, 883, 3206, 538, 2069, 267, 513, 1880, 2990, 610, 1362, 282, 476, 273, 3514, 610, 581, 11807, 538, 513, 1880, 1747, 610, 1604, 282, 476, 274, 4866, 547, 581, 513, 4759, 540, 282, 476, 275, 4866, 547, 581, 519, 3959, 610, 15896, 540, 269, 10362, 2073, 10902, 267, 30901, 267, 10343, 267, 7681, 267, 13613, 267, 5610, 267, 804, 4923, 612, 267, 29037, 267, 8284, 4743, 269, 589, 5984, 534, 670, 15077, 328, 18498, 2073, 962, 2335, 6742, 601, 476, 16409, 274, 9293, 1923, 476, 277, 9664, 269, 7790, 5617, 784, 532, 634, 5931, 594, 723, 6594, 723, 8476, 1250, 1620, 540, 519, 1523, 540, 10362, 538, 11837, 267, 922, 1082, 3029, 543, 2010, 269, 1547, 5617, 784, 532, 568, 5337, 1243, 998, 4296, 609, 1004, 267, 4025, 267, 2516, 267, 2950, 543, 568, 519, 3206, 538, 2069, 267, 519, 3677, 1158, 269, 634, 6965, 676, 8834, 4787, 337, 5414, 928, 1188, 328, 543, 519, 4670, 4427, 3405, 710, 676, 9400, 589, 14623, 1228, 1397, 519, 6249, 540, 4805, 593, 519, 14629, 9008, 1557, 267, 10362, 998, 2189, 543, 1808, 1893, 2553, 543, 568, 519, 3206, 267, 2934, 267, 971, 607, 11052, 267, 17279, 543, 2497, 267, 891, 2409, 2285, 721, 606, 1620, 540, 875, 513, 2631, 540, 10362, 269, 14522, 2073, 18332, 15966, 663, 1652, 2073, 2506, 850, 670, 15077, 577, 476, 15793, 277, 9293, 1923, 476, 275, 9664, 269, 5617, 784, 532, 568, 6616, 945, 596, 616, 267, 998, 8062, 543, 9620, 602, 596, 786, 581, 5432, 609, 3054, 543, 2852, 1557, 733, 3949, 476, 1001, 275, 267, 666, 1174, 519, 4128, 585, 707, 1547, 22464, 563, 289, 13717, 532, 568, 711, 1152, 827, 1373, 7608, 883, 513, 5858, 267, 855, 15980, 602, 1747, 269, 3502, 1175, 513, 4759, 267, 855, 513, 6205, 269, 968, 5591, 812, 568, 606, 6532, 5608, 2943, 5103, 519, 1034, 2596, 1480, 991, 547, 1018, 568, 519, 540, 2565, 11305, 805, 633, 4866, 267, 1082, 8359, 547, 5098, 581, 4805, 269, 589, 2631, 540, 10362, 568, 7471, 998, 1896, 1114, 8658, 543, 568, 519, 538, 2069, 267, 3344, 540, 1142, 1367, 779, 4948, 1272, 269, 8422, 5931, 538, 799, 269, 17235, 2073, 8210, 514, 30421, 6202, 2073, 15213, 19536, 476, 5611, 277, 9293, 1923, 476, 275, 9664, 269, 5617, 784, 532, 1557, 268, 1627, 281, 1215, 1281, 519, 21917, 946, 2553, 547, 6655, 10362, 7790, 5617, 784, 532, 3947, 513, 2178, 2631, 1547, 540, 6530, 1603, 267, 3961, 269, 1548, 11957, 2986, 11879, 11305, 805, 633, 15154, 256, 898, 15437, 945, 649, 616, 543, 1018, 649, 4866, 547, 269, 4828, 256, 5617, 784, 532, 3947, 513, 2631, 540, 3106, 10838, 938, 2828, 543, 1920, 269, 25587, 476, 866, 628, 2540, 10564, 3627, 29366, 268, 2048, 20236, 3961, 568, 1018, 835, 540, 519, 1101, 3741, 538, 16764, 779, 1272, 269, 8682, 3961, 11225, 945, 649, 616, 543, 6530, 267, 1018, 649, 723, 1831, 269, 901, 1557, 786, 1865, 519, 1292, 2152, 3238, 609, 10362, 543, 946, 5931, 689, 519, 10564, 8834, 563, 21837, 7671, 601, 2073, 14740, 2073, 13017, 514, 5244, 476, 13970, 277, 9293, 1923, 476, 275, 9664, 269, 7790, 14187, 6640, 16764, 269, 4653, 594, 1616, 547, 568, 519, 540, 2565, 11305, 805, 633, 2911, 827, 519, 1888, 10362, 1547, 2201, 15099, 256, 898, 568, 1360, 1271, 585, 721, 547, 723, 10362, 2073, 513, 2631, 1547, 540, 10362, 666, 1118, 721, 1745, 3769, 543, 7608, 1369, 513, 1514, 267, 3909, 267, 2797, 267, 2686, 543, 1920, 269, 5617, 784, 532, 547, 513, 1895, 610, 2146, 814, 513, 1713, 1764, 593, 606, 1367, 779, 2631, 540, 1582, 269, 1284, 1810, 1405, 723, 513, 2262, 585, 1018, 540, 2565, 11305, 805, 633, 3206, 519, 6587, 540, 20420, 267, 855, 952, 649, 1705, 267, 594, 1223, 2161, 602, 781, 1018, 594, 1616, 538, 1272, 269, 898, 568, 1767, 676, 513, 476, 2420, 4458, 6040, 23171, 10927, 945, 5747, 538, 269, 14825, 9394, 2073, 9291, 22735, 2073, 5518, 540, 519, 2136, 2276, 476, 4817, 277, 9293, 1923, 476, 274, 9664, 563, 23149, 779, 2631, 540, 10362, 5673, 593, 741, 2123, 2796, 892, 5617, 784, 532, 666, 1683, 513, 2631, 540, 4313, 267, 22059, 543, 1547, 14336, 4800, 269, 1717, 267, 10362, 538, 835, 2460, 538, 1272, 666, 18867, 2014, 513, 2631, 540, 2110, 267, 32238, 267, 8589, 5314, 543, 771, 1263, 1771, 689, 9962, 2486, 269, 5617, 784, 532, 666, 1611, 8108, 513, 2673, 2078, 609, 835, 779, 6418, 268, 1345, 267, 8754, 2870, 513, 2631, 540, 2123, 10362, 2073, 543, 607, 513, 1267, 267, 666, 1611, 1609, 9792, 618, 543, 1018, 568, 519, 540, 2565, 11305, 805, 633, 267, 10072, 689, 519, 9018, 1158, 269, 901, 1523, 540, 10362, 568, 2110, 593, 16080, 25703, 8268, 538, 269, 12448, 19785, 996, 2073, 2441, 2088, 781, 2622, 2073, 12280, 476, 9873, 272, 9293, 1923, 476, 275, 9664, 269, 5617, 784, 532, 666, 581, 513, 2009, 2619, 547, 606, 1367, 779, 1582, 19840, 783, 5314, 269, 589, 2631, 540, 3961, 666, 581, 4857, 676, 568, 519, 2956, 538, 2069, 10362, 610, 1547, 711, 10362, 547, 513, 1880, 1895, 610, 1747, 269, 589, 1268, 666, 9446, 1114, 2418, 540, 10362, 998, 1114, 3871, 543, 5468, 267, 899, 538, 3594, 2656, 13231, 344, 267, 9956, 779, 1974, 543, 519, 1974, 538, 2048, 293, 697, 11833, 17483, 300, 553, 869, 779, 28762, 8944, 540, 10362, 5267, 602, 10362, 568, 835, 540, 519, 2596, 2115, 540, 1480, 6228, 269, 1772, 634, 11957, 2986, 11879, 11305, 805, 633, 15154, 769, 4065, 256, 2353, 3425, 29954, 790, 547, 4866, 855, 1152, 513, 1906, 616, 2111, 547, 16637, 713, 2596, 269, 14062, 16549, 869, 2073, 674, 697, 11833, 2073, 13834, 1909, 476, 10441, 280, 9293, 1923, 476, 274, 9664, 269, 6153, 6640, 267, 8284, 1053, 543, 4116, 270, 611, 9080, 545, 2209, 769, 1250, 18803, 6644, 267, 5617, 784, 532, 568, 519, 7915, 2470, 540, 3425, 547, 1921, 609, 1547, 1866, 269, 901, 3948, 1797, 602, 649, 267, 910, 553, 3425, 268, 723, 606, 5817, 991 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 4023, 625, 267, 3006, 17259, 909, 543, 3843, 547, 6952, 835, 269, 1452, 2370, 12209, 4769, 1406, 1416, 267, 789, 4769, 1406, 3548, 899, 19498, 543, 4769, 1406, 21183, 2476, 689, 1004, 899, 13733, 563, 8489, 1705, 789, 2097, 689, 286, 3657, 789, 2731, 856, 540, 12772, 286, 594, 4718, 1896, 540, 873, 10760, 3297, 513, 17382, 269, 594, 6410, 6251, 543, 6743, 547, 519, 824, 2427, 547, 7198, 519, 9589, 4332, 540, 891, 4023, 625, 269, 1677, 1250, 9983, 267, 891, 12209, 267, 9118, 540, 873, 267, 941, 4947, 856, 540, 519, 2666, 998, 513, 1507, 8559, 269, 589, 1507, 18962, 11199, 14186, 543, 838, 1080, 856, 12961, 269, 898, 6743, 9490, 267, 899, 513, 18912, 4535, 689, 1216, 20256, 269, 15907, 803, 811, 7786, 941, 6932, 689, 824, 10239, 563, 29819, 2986, 12910, 2572, 286, 3752, 1386, 256, 1215, 1677, 10576, 12910, 924, 28100, 454, 2691, 594, 6368, 3893, 1753, 267, 16474, 12193, 519, 9814, 269, 1452, 616, 30412, 267, 6263, 7786, 602, 25261, 998, 938, 11308, 19970, 1115, 543, 7515, 269, 968, 10303, 789, 3357, 856, 540, 519, 15113, 1848, 1809, 594, 4076, 2938, 17605, 543, 789, 1810, 1406, 723, 12209, 267, 594, 13934, 1864, 269, 2048, 8253, 782, 786, 16224, 646, 6045, 267, 2048, 8117, 2899, 538, 513, 1247, 267, 952, 519, 2175, 616, 1318, 267, 930, 1332, 12209, 543, 8038, 547, 1265, 513, 5078, 19898, 543, 3715, 513, 1007, 1753, 563, 6624, 540, 873, 5884, 267, 930, 1810, 1406, 1265, 29982, 543, 930, 666, 1406, 1628, 5321, 267, 865, 1082, 1847, 856, 693, 519, 1482, 942, 269, 4934, 540, 7366, 540, 5215, 267, 1152, 513, 1906, 1118, 621, 563, 763, 1985, 6640, 267, 607, 594, 15336, 547, 1362, 267, 1352, 30870, 803, 269, 1358, 782, 20374, 269, 1809, 741, 12209, 723, 5828, 1250, 2619, 883, 513, 13085, 24095, 540, 1350, 7867, 532, 8988, 267, 1350, 626, 2287, 538, 519, 3141, 269, 1879, 596, 1589, 540, 5614, 267, 596, 4440, 4952, 28480, 5810, 543, 519, 2132, 540, 3636, 4365, 269, 1809, 538, 519, 11641, 1852, 2872, 267, 5614, 7436, 519, 4098, 540, 519, 4005, 267, 950, 811, 7786, 10836, 689, 741, 5162, 15720, 4025, 267, 2828, 2443, 543, 538, 930, 2665, 2443, 1265, 741, 1259, 883, 938, 5321, 269, 10251, 267, 835, 540, 519, 1034, 1455, 5614, 10860, 568, 519, 7887, 3463, 547, 938, 5321, 543, 3601, 1107, 30412, 563, 3963, 674, 2391, 4165, 338, 4303, 19732, 839, 1299, 1215, 1677, 5700, 898, 779, 3502, 12910, 2572, 454, 27001, 873, 616, 936, 476, 6344, 2929, 1296, 269, 1358, 616, 1514, 7786, 543, 2356, 2661, 538, 10125, 593, 519, 2666, 610, 538, 4054, 269, 12910, 2572, 3049, 593, 3574, 543, 3574, 2472, 5627, 27794, 971, 607, 1957, 269, 1358, 616, 6059, 547, 2014, 1269, 276, 5479, 538, 3959, 3441, 1142, 1032, 269, 1548, 779, 8338, 267, 713, 3441, 568, 1419, 711, 4988, 676, 1753, 26782, 779, 6142, 267, 543, 1107, 1317, 789, 616, 856, 540, 8289, 1107, 741, 3441, 666, 979, 32373, 539, 585, 1296, 2394, 3978, 2042, 8451, 269, 4475, 267, 621, 568, 1271, 547, 1174, 519, 1272, 4783, 540, 30412, 267, 543, 519, 4191, 602, 513, 12733, 814, 12306, 538, 707, 1753, 563, 2467, 616, 811, 982, 476, 273, 267, 1822, 1634, 2165, 924, 2249, 538, 519, 1158, 267, 609, 693, 2547, 476, 2004, 2249, 1336, 538, 519, 2136, 2276, 1107, 5258, 883, 1614, 2516, 1759, 593, 4087, 281, 1016, 614, 10328, 267, 3819, 6229, 267, 543, 29746, 6229, 269, 634, 12733, 568, 1500, 909, 540, 4600, 267, 7980, 543, 29816, 269, 20709, 2226, 519, 12733, 267, 1628, 610, 7816, 20097, 267, 543, 1683, 28532, 547, 3049, 519, 12733, 269, 634, 7980, 941, 25062, 267, 543, 741, 1292, 1909, 729, 547, 2149, 519, 12733, 269, 26681, 4600, 6862, 7980, 723, 3762, 563, 18933, 1301, 619, 267, 849, 1634, 607, 1065, 6055, 1161, 267, 723, 1079, 8424, 540, 12209, 602, 616, 25649, 936, 519, 17737, 950, 711, 538, 946, 269, 769, 519, 5614, 267, 1310, 519, 2063, 19068, 2443, 2356, 950, 5210, 3914, 476, 3583, 5232, 2443, 1762, 2937, 9038, 543, 8951, 10836, 689, 741, 20097, 538, 1804, 2516, 269, 22503, 17605, 5305, 513, 13526, 2541, 6438, 2048, 332, 908, 32176, 668, 821, 685, 547, 4482, 519, 5256, 17605, 269, 2991, 9038, 1265, 606, 10694, 4775, 267, 789, 1166, 777, 741, 12209, 267, 15202, 602, 789, 616, 1079, 269, 634, 1007, 6292, 1287, 23297, 513, 9566, 3135, 267, 29982, 267, 543, 3587, 519, 4622, 543, 15596, 540, 519, 1007, 12733, 269, 589, 15596, 814, 1044, 1634, 547, 2661, 585, 476, 1789, 610, 811, 1296, 563, 2691, 6496, 968, 3410, 924, 17897, 892, 3399, 888, 27039, 593, 519, 2249, 267, 621, 949, 1491, 1614, 547, 2185, 1296, 1354, 513, 9241, 3964, 12733, 10301, 15657, 543, 3587, 1582, 1606, 11211, 269, 769, 519, 1101, 1032, 267, 519, 15596, 666, 3180, 9170, 1063, 4642, 543, 476, 2420, 269, 1924, 693, 519, 1439, 540, 519, 1101, 1032, 267, 606, 11895, 12733, 786, 723, 827, 476, 4037, 2043, 267, 1247, 3819, 3574, 701, 1188, 619, 786, 723, 1152, 513, 18797, 269, 5221, 540, 713, 267, 621, 666, 1491, 1896, 1296, 1354, 10125, 1831, 1804, 2614, 547, 2014, 7298, 3441, 547, 519, 4054, 789, 3468, 563, 1103, 21617, 4525, 602, 798, 711, 2356, 7639, 519, 5162, 267, 1007, 10125, 666, 581, 3323, 538, 1079, 2081, 269, 1879, 606, 7783, 3529, 568, 5189, 547, 513, 1007, 4087, 610, 676, 6498, 269, 2598, 11825, 531, 2356, 4386, 950, 513, 1007, 1426, 2707, 568, 4092, 543, 513, 1016, 12258, 3415, 568, 4646, 547, 17908, 519, 2707, 269, 7053, 267, 713, 1016, 12258, 3415, 7472, 519, 2556, 1587, 540, 562, 8233, 338, 630, 9767, 978, 30412, 264, 543, 4625, 1965, 7870, 883, 922, 1378, 12733, 563, 9928, 28320, 630, 663, 13617, 339, 2354, 264, 616, 1419, 835, 540, 519, 1034, 7298, 4191, 540, 519, 4527, 540, 30412, 269, 1317, 454, 13528, 657, 534, 12910, 2572, 5272, 3602, 256, 7316, 9894, 1358, 22067, 3245, 286, 1548, 1684, 594, 1684, 888, 2710, 30412, 6749, 741, 12209, 267, 798, 30412, 8774, 741, 12209, 267, 798, 30412, 6336, 741, 12209, 267, 30412, 8774, 741, 12209, 267, 30412, 6336, 12209, 267, 30412, 602, 6336, 741, 12209, 267, 30412, 6336, 741, 12209, 267, 1946, 798, 642, 30743, 3262, 741, 12209, 267, 798, 30412, 723, 12209, 267, 10760, 30412, 6336, 12209, 267, 798, 1016, 614, 10328, 30412, 723, 12209, 267, 1946, 798, 20650, 6336, 741, 3666, 0, 763, 2361, 540, 29113, 5631, 13315, 609, 7350, 267, 6323, 267, 7998, 543, 1570, 9443, 543, 621, 10953, 3209, 9354, 23282, 1242, 2326, 585, 24118, 543, 14453, 3156, 269, 634, 6211, 4852, 12330, 540, 20543, 616, 1373, 5645, 856, 676, 1114, 12550, 2173, 2222, 2675, 8084, 7103, 971, 607, 2030, 267, 4551, 267, 13271, 267, 4262, 933, 2644, 543, 2890, 14607, 2801, 269, 634, 19777, 9321, 1127, 1242, 6289, 558, 17467, 723, 1044, 3927, 9013, 519, 1585, 21049, 3676, 609, 1447, 8801, 1198, 269, 7233, 3568, 10731, 2067, 7135, 971, 607, 30175, 6950, 267, 32064, 6950, 267, 18682, 517, 1231, 267, 28335, 267, 512, 2335, 1231, 543, 824, 9422, 7135, 269, 1452, 2067, 2472, 616, 6508, 689, 1585, 2694, 540, 2030, 971, 607, 3762, 267, 11710, 267, 5072, 22534, 267, 5810, 267, 3046, 802, 267, 543, 5452, 269, 21298, 267, 1082, 2090, 723, 9863, 602, 519, 2030, 21555, 957, 607, 513, 1761, 24888, 585, 519, 10282, 540, 6289, 558, 1468, 538, 1875, 3620, 1794, 731, 748, 2081, 269, 4595, 519, 2030, 1349, 3568, 1585, 6281, 31571, 267, 621, 6411, 607, 4227, 543, 11689, 1944, 8069, 585, 519, 1979, 648, 9134, 5114, 547, 24704, 3209, 17285, 20543, 269, 634, 1875, 1532, 8344, 2409, 630, 23755, 543, 2168, 264, 616, 1031, 538, 519, 10282, 540, 20543, 267, 799, 814, 513, 3978, 13818, 543, 1164, 17219, 585, 2713, 7103, 269, 769, 1840, 267, 519, 6211, 10282, 540, 17285, 20543, 568, 20522, 267, 2582, 1900, 543, 10357, 7888, 2409, 269, 634, 2371, 616, 1031, 6707, 538, 519, 10282, 540, 1585, 22928, 20543, 971, 607, 524, 28240, 267, 7601, 267, 8988, 267, 4154, 267, 23080, 18123, 267, 31091, 267, 13058, 12547, 543, 11275, 924, 269, 4746, 267, 519, 2030, 25358, 20543, 616, 1761, 16185, 585, 1585, 3676, 971, 607, 13663, 267, 2860, 267, 7486, 267, 17537, 543, 824, 8650, 3676, 563, 265, 7170, 543, 2725, 17239, 10361, 902, 689, 32212, 299, 12114, 10378, 270, 23809, 10378, 267, 513, 6538, 540, 519, 772, 2529, 269, 2817, 7732, 540, 6925, 269, 0, 1432, 568, 519, 2497, 543, 1599, 540, 32541, 2281, 888, 12024, 513, 605, 28648, 5328, 1591, 267, 513, 32541, 1591, 814, 513, 11919, 9245, 267, 32594, 267, 543, 10775, 22199, 267, 855, 513, 32541, 1591, 568, 3335, 3677, 982, 513, 605, 28648, 5328, 1591, 267, 814, 513, 3020, 13540, 630, 26074, 922, 5027, 568, 11303, 676, 513, 9245, 1070, 543, 814, 824, 9245, 27995, 31759, 602, 1450, 585, 26654, 531, 1436, 540, 3252, 563, 1432, 616, 519, 476, 278, 3252, 540, 519, 1591, 888, 268, 12856, 543, 8081, 269, 1411, 917, 513, 2777, 568, 1500, 540, 20398, 269, 6693, 268, 12618, 269, 769, 1950, 7103, 971, 607, 3425, 267, 519, 8031, 1332, 676, 2241, 8691, 540, 2281, 269, 6693, 268, 13255, 269, 6693, 268, 6052, 13870, 269, 6693, 268, 5450, 29440, 269, 6693, 1432, 568, 1591, 2497, 543, 1599, 888, 288, 1591, 5161, 540, 1614, 2694, 281, 519, 1591, 9245, 267, 519, 13540, 267, 543, 267, 1063, 519, 1079, 267, 519, 32594, 269, 10738, 519, 32594, 9114, 6946, 12417, 540, 5386, 11103, 543, 7366, 610, 1256, 5215, 540, 1295, 4593, 2544, 855, 3982, 3889, 1572, 31759, 563, 1432, 568, 519, 2497, 543, 1599, 540, 513, 605, 28648, 5328, 1591, 888, 288, 605, 28648, 5328, 1591, 568, 513, 1826, 540, 1591, 538, 799, 519, 2497, 540, 519, 13540, 543, 9245, 27995, 31759, 568, 711, 14013, 3989, 269, 1452, 2281, 2874, 540, 513, 13540, 267, 855, 519, 13540, 540, 891, 568, 711, 5963, 6719, 269, 1717, 267, 621, 15824, 782, 519, 1898, 3252, 602, 513, 3339, 1591, 666, 1685, 563, 1432, 568, 32541, 1292, 1599, 888, 763, 9577, 540, 661, 20915, 5328, 2281, 568, 547, 3132, 1426, 1299, 1648, 585, 2208, 543, 12093, 2877, 676, 782, 2713, 1919, 538, 519, 1106, 540, 21085, 543, 2226, 27921, 610, 11466, 1369, 741, 1560, 676, 14874, 3653, 563, 1432, 616, 519, 2185, 1292, 3252, 540, 32541, 2281, 888, 268, 2961, 787, 856, 4719, 1852, 563, 268, 13583, 675, 267, 15814, 267, 543, 15059, 6675, 563, 268, 6052, 4393, 563, 268, 11873, 267, 7293, 1489, 267, 543, 2792, 1063, 2281, 563, 1432, 616, 519, 476, 279, 1292, 3252, 540, 513, 1591, 888, 268, 589, 1591, 15824, 1585, 2238, 267, 799, 616, 1271, 585, 519, 1646, 543, 2208, 540, 606, 11248, 269, 6693, 268, 898, 16881, 2208, 1282, 5378, 2670, 563, 268, 898, 2488, 2497, 543, 1489, 563, 268, 898, 2337, 538, 519, 5108, 540, 1648, 563, 268, 898, 14998, 519, 3560, 540, 1114, 6878, 563, 268, 898, 2337, 538, 519, 1184, 540, 12093, 563, 1432, 568, 519, 1292, 1599, 540, 519, 1591, 888, 290, 20635, 1683, 2497, 543, 1599, 585, 782, 2713, 1919, 267, 689, 14471, 547, 3425, 269, 12207, 2015, 873, 519, 10545, 1106, 540, 1272, 269, 19204, 2777, 519, 6211, 12227, 602, 2306, 519, 5946, 267, 6464, 267, 543, 6786, 3743, 585, 3388, 602, 4523, 3330, 938, 4703, 563, 1432, 616, 519, 476, 275, 1292, 3252, 540, 513, 1591, 888, 5445, 1683, 2497, 585, 519, 1560, 267, 1491, 538, 5567, 689, 1426, 267, 6460, 1346, 5567, 883, 1648, 267, 543, 4163, 856, 7463, 3252, 269, 19204, 849, 2270, 519, 1560, 779, 22420, 1570, 543, 666, 1118, 12215, 540, 2933, 269, 19204, 723, 1082, 2694, 267, 1142, 609, 513, 1114, 1599, 563, 1432, 568, 2578, 686, 1961, 1599, 888, 28495, 686, 3421, 616, 19610, 22902, 11057, 31759, 4092, 538, 519, 32594, 540, 3662, 2281, 2282, 519, 6046, 23508, 269, 2578, 686, 3421, 1404, 513, 1909, 538, 12180, 2890, 30344, 2737, 602, 4196, 607, 519, 1591, 779, 20258, 1062, 269, 1358, 948, 3313, 519, 6753, 540, 519, 13540, 543, 824, 31759, 1369, 519, 1591, 563, 1432, 616, 519, 476, 273, 1292, 2010, 540, 2281, 888, 2467, 616, 1079, 1292, 2010, 540, 2281, 281, 605, 28648, 5328, 2281, 543, 32541, 2281, 269, 1160, 28648, 5328, 2281, 1331, 4551, 543, 9125, 320, 269, 1160, 28648, 4925, 1765, 13060, 7768, 540, 513, 605, 28648, 5328, 1591, 1765 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1946, 2199, 543, 6237, 6608, 1590, 581, 693, 519, 2295, 540, 519, 476, 10711, 271, 3397, 12629, 563, 8624, 29193, 2962, 568, 519, 1883, 267, 607, 1318, 569, 15091, 538, 519, 1793, 25830, 676, 938, 12968, 685, 1076, 6751, 302, 17939, 6390, 15223, 987, 267, 17939, 6390, 23819, 553, 267, 17939, 6390, 31155, 13195, 267, 17939, 6390, 21813, 320, 553, 1721, 1715, 3127, 269, 630, 299, 20235, 1299, 23654, 16457, 11557, 17290, 267, 4813, 518, 30626, 715, 7709, 300, 268, 16156, 715, 10135, 3848, 1299, 1401, 269, 5518, 1107, 715, 1355, 320, 5004, 5948, 267, 12676, 294, 6820, 19264, 26513, 269, 634, 5784, 6829, 616, 1010, 2123, 4700, 0, 763, 3173, 1031, 513, 9682, 28835, 3047, 547, 1685, 606, 16600, 1790, 13440, 1047, 1449, 540, 513, 3844, 23350, 540, 18160, 779, 3069, 540, 2489, 25536, 267, 799, 568, 519, 2413, 3069, 540, 8904, 269, 634, 2243, 568, 2436, 1079, 1114, 2010, 540, 2527, 1107, 14965, 543, 16931, 658, 1107, 616, 519, 1482, 269, 12207, 1336, 602, 1079, 3615, 20829, 519, 9682, 8593, 2509, 3047, 693, 519, 1482, 3432, 267, 609, 606, 6111, 540, 835, 851, 538, 513, 9076, 11669, 269, 901, 3811, 1449, 540, 18160, 779, 3069, 814, 8101, 6286, 585, 1699, 17184, 13655, 1107, 585, 1383, 267, 519, 2243, 540, 2436, 4158, 2339, 543, 4158, 1648, 2291, 563, 1372, 576, 633, 519, 22242, 454, 24836, 6143, 568, 519, 3196, 602, 6585, 519, 17807, 1927, 267, 17444, 11397, 15270, 543, 13057, 873, 883, 606, 18163, 17184, 7544, 269, 634, 3196, 540, 8904, 568, 18170, 14356, 676, 519, 3845, 1063, 1079, 3615, 267, 855, 849, 676, 519, 13999, 540, 519, 3615, 269, 1323, 1843, 609, 811, 2527, 2833, 811, 8904, 269, 634, 2930, 2012, 585, 713, 1826, 540, 2527, 568, 968, 6588, 13901, 2527, 9731, 22709, 814, 1776, 3959, 267, 799, 649, 1522, 1289, 24880, 269, 898, 568, 519, 12402, 540, 606, 1843, 547, 5706, 2242, 538, 5163, 269, 769, 824, 1913, 267, 8273, 1919, 616, 9875, 547, 1847, 281, 621, 779, 4443, 547, 7903, 513, 11332, 982, 513, 1286, 269, 634, 2930, 2012, 585, 713, 1826, 540, 2527, 568, 968, 514, 1068, 807, 2527, 9731, 2467, 568, 1100, 2601, 1101, 8263, 602, 14965, 2527, 543, 16931, 658, 2527, 616, 519, 1482, 269, 2290, 1754, 985, 519, 3196, 540, 8904, 267, 1247, 519, 824, 1754, 985, 5163, 269, 1403, 789, 941, 1114, 267, 5230, 543, 1769, 3615, 1131, 2887, 693, 1114, 3928, 267, 543, 8197, 3504, 5259, 15806, 4767, 602, 513, 17200, 543, 513, 13692, 2887, 8335, 269, 24581, 3615, 6157, 3100, 547, 2887, 5488, 982, 1769, 3615, 269, 1284, 1631, 917, 602, 2011, 4187, 568, 519, 27521, 267, 855, 621, 729, 15991, 6654, 538, 519, 2250, 563, 763, 3510, 729, 5587, 1881, 593, 519, 476, 1704, 324, 2540, 267, 950, 31595, 5340, 513, 3126, 540, 6901, 1210, 15155, 1186, 543, 21384, 540, 1114, 13999, 547, 1397, 602, 3615, 540, 1114, 13999, 2887, 693, 519, 1482, 2557, 269, 630, 14367, 540, 339, 2275, 1243, 1995, 540, 21177, 4439, 7410, 689, 519, 18975, 540, 623, 13453, 568, 4440, 3284, 665, 787, 13921, 4700, 1656, 538, 476, 3192, 272, 267, 16106, 6424, 8845, 20310, 569, 7368, 31595, 779, 1995, 593, 519, 2011, 1652, 9855, 267, 950, 646, 12628, 513, 17200, 543, 513, 13692, 267, 543, 789, 8593, 7567, 269, 634, 3504, 16380, 1185, 1044, 546, 1575, 539, 563, 763, 3409, 602, 16931, 658, 2527, 543, 14965, 2527, 616, 519, 1482, 568, 1634, 607, 519, 30424, 6240, 267, 543, 18160, 779, 2182, 342, 1600, 30424, 538, 1010, 3069, 540, 8904, 269, 4937, 25536, 6707, 25221, 875, 3615, 2887, 896, 1034, 6381, 267, 543, 519, 3621, 2146, 24693, 621, 607, 519, 1655, 3069, 540, 8904, 563, 29771, 547, 1205, 4831, 842, 30698, 267, 9670, 543, 26374, 2984, 9447, 547, 707, 28600, 1169, 13628, 454, 4913, 267, 968, 2865, 892, 6381, 798, 711, 1611, 968, 718, 5608, 543, 24666, 7422, 723, 7000, 7138, 1782, 13655, 269, 1280, 835, 3364, 267, 15270, 8095, 5488, 982, 741, 6801, 267, 543, 519, 9362, 789, 2270, 949, 2491, 610, 2491, 18160, 779, 3069, 540, 8904, 269, 634, 1034, 7608, 7778, 585, 713, 15739, 32735, 568, 519, 6228, 540, 513, 6219, 1572, 4158, 2339, 1107, 2339, 602, 1281, 711, 12520, 1769, 269, 6271, 17184, 11015, 568, 519, 8343, 602, 519, 7269, 540, 519, 17807, 568, 23960, 269, 1677, 2491, 713, 9642, 640, 267, 3744, 723, 2022, 4327, 602, 519, 17807, 568, 4904, 609, 513, 1065, 14601, 1106, 540, 8904, 1572, 4158, 1648, 563, 4913, 267, 891, 616, 6927, 540, 13473, 7058, 1740, 269, 1284, 949, 711, 4628, 1174, 8904, 610, 519, 4031, 540, 5163, 269, 6969, 649, 666, 723, 1022, 22979, 602, 4158, 2339, 543, 4158, 1648, 616, 1483, 267, 649, 991, 547, 19472, 18160, 779, 3069, 540, 2489, 25536, 609, 1360, 1164, 8856, 269, 1677, 798, 713, 267, 649, 991, 547, 1397, 602, 519, 30424, 6240, 568, 3020, 563, 4407, 21469, 13053, 7318, 519, 6240, 540, 30424, 538, 519, 476, 8182, 271, 338, 267, 2413, 3646, 616, 1454, 811, 4977, 269, 769, 519, 476, 736, 628, 2540, 267, 19936, 536, 6407, 22795, 1055, 19141, 2451, 593, 519, 7599, 676, 21011, 20691, 547, 1397, 602, 16931, 658, 543, 14965, 13999, 616, 9838, 609, 606, 6111, 540, 835, 851, 538, 476, 1015, 18265, 269, 901, 9740, 729, 11141, 269, 1809, 519, 1034, 2487, 4603, 814, 8854, 1256, 2417, 563, 14197, 25536, 10596, 1776, 1449, 454, 288, 1895, 540, 3173, 1572, 519, 5843, 306, 4596, 14154, 21664, 9250, 513, 9682, 883, 2230, 538, 476, 1001, 277, 269, 21419, 1756, 543, 31091, 26561, 941, 593, 4604, 267, 543, 519, 3744, 685, 9837, 729, 547, 1449, 519, 6240, 540, 30424, 269, 1635, 11093, 741, 3926, 538, 2230, 267, 789, 9678, 519, 3937, 689, 21513, 543, 1507, 14965, 3604, 2813, 676, 7404, 10239, 267, 11895, 3282, 543, 7777, 12074, 267, 3092, 269, 634, 3744, 16913, 519, 4087, 540, 519, 26561, 1210, 3167, 4610, 269, 634, 2856, 568, 602, 952, 519, 1079, 3615, 29352, 8335, 267, 789, 1131, 991, 547, 946, 1079, 1114, 3167, 4610, 547, 3180, 873, 538, 1747, 563, 1432, 789, 4362, 729, 602, 519, 3167, 4610, 2838, 941, 519, 1482, 267, 799, 4847, 873, 547, 3313, 602, 1022, 3017, 538, 16931, 658, 543, 14965, 2527, 729, 1447, 982, 835, 851, 538, 513, 9076, 11669, 269, 26243, 267, 789, 1500, 513, 5730, 15418, 540, 519, 6240, 540, 30424, 563, 7212, 713, 568, 606, 4397, 1267, 689, 519, 1448, 540, 2070, 540, 2489, 25536, 267, 621, 814, 1360, 1271, 4539, 585, 519, 1353, 540, 4158, 2339, 543, 4158, 1648, 269, 4014, 891, 2093, 616, 2442, 267, 930, 3744, 3494, 602, 519, 15914, 3601, 540, 15270, 666, 581, 1732, 6045, 676, 1007, 6436, 540, 8904, 269, 3509, 540, 891, 4244, 6436, 17538, 602, 519, 6240, 540, 30424, 568, 711, 3833, 3501, 563, 763, 5843, 306, 4596, 14154, 6482, 1336, 1100, 18670, 540, 519, 6240, 540, 30424, 269, 3571, 2164, 4341, 856, 930, 267, 855, 711, 782, 267, 4244, 6436, 540, 8904, 269, 634, 3173, 616, 8600, 513, 2034, 4603, 267, 1572, 5843, 306, 4596, 14154, 273, 267, 799, 1058, 581, 1472, 476, 1911, 2053, 811, 5730, 982, 922, 31317, 269, 1403, 621, 9060, 24017, 689, 519, 6240, 540, 30424, 267, 621, 786, 2285, 3744, 2629, 5583, 585, 3384, 1007, 543, 4824, 6436, 540, 8904, 563, 258, 292, 514, 4614, 1231, 1948, 1492, 800, 1948, 2102, 1968, 1948, 7758, 18356, 1948, 10139, 525, 1948, 11687, 1948, 574, 4124, 1948, 323, 1046, 1948, 332, 2660, 1948, 323, 1046, 1948, 24479, 0, 2750, 338, 1481, 3215, 20178, 720, 568, 2034, 1152, 547, 3844, 8401, 1062, 5945, 607, 513, 2014, 540, 2669, 1310, 19742, 8194, 267, 1373, 3743, 585, 909, 547, 476, 2412, 260, 540, 782, 8194, 7972, 630, 272, 267, 476, 273, 1040, 17957, 267, 20178, 20723, 2669, 6589, 585, 1034, 540, 5732, 28824, 7972, 593, 519, 1699, 25071, 630, 274, 1040, 12465, 7372, 13816, 4288, 2994, 616, 1759, 593, 513, 1164, 5223, 540, 14095, 2699, 1973, 2281, 630, 11266, 6195, 338, 264, 547, 6676, 7410, 543, 4195, 13792, 11919, 630, 13697, 303, 1040, 6201, 1331, 7840, 540, 2185, 4559, 540, 11553, 6195, 829, 835, 1770, 540, 674, 17025, 630, 275, 1070, 30376, 540, 835, 547, 1079, 4559, 540, 674, 17025, 585, 1142, 476, 276, 4559, 540, 11553, 6195, 630, 276, 1070, 610, 30376, 540, 674, 17025, 1310, 513, 1973, 2530, 6697, 547, 835, 1973, 4320, 267, 610, 5111, 476, 1015, 4559, 540, 11553, 6195, 338, 630, 277, 268, 279, 1916, 25618, 625, 899, 891, 3565, 547, 519, 5929, 834, 29188, 344, 30380, 4783, 257, 540, 20178, 720, 538, 8194, 267, 9967, 540, 3834, 1278, 8926, 267, 3679, 2670, 267, 543, 30243, 592, 14527, 269, 634, 6228, 540, 513, 3119, 30243, 592, 14527, 540, 8194, 568, 3622, 7608, 267, 799, 568, 7707, 2989, 676, 1699, 5714, 10682, 2994, 630, 280, 267, 476, 1015, 1040, 3213, 698, 592, 14527, 814, 1044, 3254, 547, 581, 606, 4830, 27667, 540, 2669, 538, 16094, 13676, 8194, 2550, 630, 1015, 1040, 9122, 593, 7422, 971, 607, 891, 267, 1896, 4589, 723, 5063, 3370, 1239, 2857, 2056, 1007, 12753, 540, 1973, 2472, 543, 8519, 946, 540, 16358, 1355, 630, 1556, 268, 1428, 1040, 1452, 4589, 4363, 519, 946, 540, 513, 476, 272, 281, 272, 610, 476, 272, 269, 276, 281, 272, 5223, 540, 11553, 6195, 547, 674, 17025, 547, 7413, 8650, 15779, 30243, 592, 14527, 563, 23382, 520, 759, 19895, 2787, 9356, 3604, 1063, 4108, 543, 19742, 5468, 269, 12920, 16964, 720, 568, 1869, 519, 3056, 2014, 540, 2669, 1851, 4108, 25096, 269, 20070, 3753, 616, 1034, 1419, 11579, 7992, 267, 543, 7372, 5160, 2530, 3361, 676, 1164, 20589, 6127, 267, 1419, 1561, 14876, 23292, 3457, 267, 568, 7928, 269, 1452, 2188, 3565, 547, 513, 2362, 9019, 2557, 585, 2550, 538, 8710, 268, 4792, 260, 5288, 269, 476, 2004, 260, 538, 19742, 7740, 630, 1626, 1916, 32381, 540, 519, 4259, 267, 7372, 13816, 4288, 568, 606, 16613, 2680, 602, 1281, 711, 22937, 3294, 1134, 547, 19747, 17053, 6417, 8062, 630, 1691, 1040, 22682, 267, 1382, 568, 1869, 2877, 538, 606, 5571, 4674, 547, 2232, 1896, 796, 753, 26833, 2055, 538, 7372, 13816, 4288, 543, 8396, 759, 19895, 2787, 269, 1452, 1331, 19286, 908, 519, 2360, 540, 759, 19895, 2787, 12862, 538, 8194, 267, 543, 519, 3406, 585, 1732, 12862, 1759, 593, 10893, 519, 18111, 614, 1190, 2360, 540, 759, 19895, 2787, 543, 519, 6099, 12753, 540, 1973, 2472, 538, 7372, 13816, 4288, 563, 27154, 3631, 723, 8810, 547, 581, 17170, 538, 14236, 891, 2055, 269, 769, 1840, 547, 3246, 513, 2707, 540, 1239, 538, 840, 30570, 3631, 267, 789, 1683, 1239, 538, 3871, 1141, 1480, 1239, 616, 2901, 17077, 610, 568, 30907, 547, 5352, 538, 8097, 5468, 269, 1280, 1383, 267, 621, 568, 6059, 602, 1152, 476, 272, 260, 547, 476, 273, 260, 540, 19742, 8194, 543, 476, 278, 260, 540, 8396, 25096, 2154, 7372, 13816, 4288, 630, 1691, 267, 476, 1704, 1040, 634, 3448, 1102, 15968, 540, 12136, 2306, 713, 2551, 2352, 547, 1353, 267, 5885, 519, 2956, 540, 3662, 3631, 269, 1280, 1383, 267, 3662, 2090, 723, 3254, 519, 4324, 540, 476, 274, 260, 5409, 2023, 545, 29649, 609, 1546, 868, 3757, 538, 606, 29252, 20178, 20723, 8710, 2203, 630, 1240, 1070, 606, 2333, 538, 12982, 5444, 16606, 1310, 5714, 759, 19895, 2787, 630, 866, 1070, 543, 606, 2333, 538, 1973, 2530, 543, 8920, 1081, 531, 30243, 592, 14527, 609, 13666, 4577, 9770, 17296, 3070, 8957, 681, 5424, 781, 14915, 622, 3070, 630, 28384, 264, 759, 19895, 2787, 630, 736, 267, 476, 2641, 1916, 11693, 519, 946, 540, 3662, 3631, 538, 759, 19895, 2787, 1382, 267, 972, 616, 7915, 2042, 602, 616, 1134, 6444, 269, 589, 2487, 2689, 540, 3662, 3631, 585, 759, 19895, 2787, 1382, 267, 3226, 538, 519, 8396, 4259, 267, 15091, 519, 3668, 540, 10063, 322, 2225, 540, 2164, 689, 835, 8047, 547, 1776, 267, 607, 1134, 607, 1016, 9953, 2711, 11191, 540, 4791, 5468, 630, 2420, 1040, 901, 2689, 14592, 606, 14849, 991, 585, 4143, 3631, 609, 799, 547, 1449, 1007, 6436, 543, 2472, 538, 519, 2527, 13680, 1399, 543, 8396, 26441, 267, 2016, 1312, 4657, 24866, 538, 759, 19895, 2787, 543, 519, 19918, 4199, 268, 6247, 11712, 1604, 540, 519, 2413, 25071, 269, 589, 5758, 540, 519, 7840, 540, 519, 13639, 6925, 22544, 593, 10960, 17738, 538, 12920, 16964, 720, 543, 1763, 19895, 2787, 3194, 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 ]
[ 0, 31572, 519, 3653, 540, 513, 2754, 568, 513, 4105, 851, 540, 4881, 513, 1870, 269, 634, 3653, 949, 581, 1426, 610, 4837, 610, 13818, 1570, 269, 901, 666, 581, 2944, 2901, 16924, 610, 998, 513, 2754, 971, 607, 513, 5010, 3653, 2359, 2754, 269, 898, 568, 1271, 547, 1491, 519, 2953, 3268, 547, 2327, 519, 3653, 568, 7307, 7157, 563, 15371, 596, 1378, 513, 13962, 267, 2196, 513, 3046, 267, 610, 7500, 513, 4070, 1870, 267, 4837, 9657, 568, 513, 1390, 1259, 547, 4688, 9748, 540, 2067, 2200, 269, 1717, 267, 621, 568, 711, 2141, 2653, 547, 1205, 3323, 563, 10908, 817, 568, 5230, 267, 543, 4061, 7199, 547, 3560, 269, 1280, 713, 2601, 267, 1082, 4872, 723, 2759, 4837, 689, 741, 1225, 2125, 728, 9657, 3292, 269, 901, 949, 2014, 7903, 3724, 689, 7264, 267, 610, 621, 949, 1711, 513, 3747, 585, 606, 4244, 4015, 1982, 563, 2414, 1118, 519, 1034, 540, 707, 4837, 3653, 267, 596, 666, 946, 513, 1870, 3653, 2359, 2754, 547, 948, 596, 2708, 707, 4837, 9657, 2115, 269, 1358, 666, 849, 948, 596, 2936, 513, 3653, 2359, 1544, 563, 763, 1655, 4837, 9657, 1505, 3322, 8744, 707, 4837, 3653, 547, 513, 9657, 9744, 269, 10705, 267, 713, 786, 4125, 1210, 16887, 2966, 25510, 563, 8794, 2413, 2409, 540, 1426, 3653, 2359, 2337, 547, 2569, 1426, 3653, 693, 1585, 5933, 540, 519, 3761, 5832, 269, 901, 2636, 3549, 547, 2569, 741, 1764, 593, 519, 1604, 563, 2690, 3236, 267, 538, 519, 2136, 2276, 267, 519, 3328, 1920, 25001, 2476, 1269, 273, 267, 1822, 4502, 540, 1426, 829, 1032, 269, 901, 4564, 513, 5458, 2179, 540, 1426, 602, 4422, 547, 3653, 269, 589, 1804, 851, 540, 713, 1426, 568, 4503, 1282, 2504, 267, 3892, 267, 543, 4616, 563, 15933, 3653, 568, 849, 513, 2101, 23784, 547, 8511, 3154, 5434, 269, 27051, 476, 1428, 2600, 540, 891, 8511, 9362, 2097, 689, 1426, 3653, 269, 1452, 5434, 616, 5950, 689, 26071, 543, 1651, 10719, 2209, 269, 1452, 5434, 616, 3743, 585, 30740, 2916, 1689, 563, 8601, 519, 1249, 602, 1426, 3653, 6589, 585, 827, 476, 736, 2600, 540, 3653, 6383, 538, 519, 2136, 2276, 267, 972, 616, 1869, 1713, 3268, 602, 666, 581, 3144, 547, 2569, 713, 3653, 269, 901, 2882, 5986, 2409, 267, 6725, 267, 4859, 267, 543, 811, 563, 8794, 23431, 2472, 547, 26565, 540, 2564, 3653, 2337, 547, 2569, 519, 4320, 540, 3653, 2469, 547, 26071, 269, 898, 849, 2337, 547, 1847, 513, 6413, 4724, 513, 811, 4264, 543, 13476, 3280, 4287, 563, 763, 2564, 3653, 602, 513, 6413, 12958, 568, 5258, 883, 1614, 6688, 269, 1452, 1331, 11763, 3653, 267, 6915, 327, 1794, 731, 3653, 543, 26715, 3653, 269, 1452, 2010, 540, 3653, 616, 9674, 543, 13042, 538, 513, 1259, 602, 2306, 621, 2653, 585, 2550, 543, 5234, 547, 1174, 563, 10890, 3249, 3653, 666, 581, 26947, 5701, 267, 3002, 3491, 947, 539, 267, 1313, 16438, 8491, 610, 26356, 540, 1055, 21935, 269, 6787, 519, 3653, 568, 9268, 593, 21935, 610, 1055, 21935, 267, 782, 6703, 1590, 1246, 519, 1697, 2564, 3653, 2359, 5773, 563, 295, 2214, 8558, 1058, 1020, 513, 6101, 3653, 2359, 1544, 269, 634, 1544, 1590, 1331, 4507, 585, 519, 4015, 267, 7829, 543, 12871, 540, 14931, 2564, 3653, 269, 898, 1058, 849, 1331, 5773, 585, 18997, 5234, 593, 3653, 2359, 267, 543, 13350, 10311, 547, 519, 1544, 563, 16352, 513, 1134, 17907, 3042, 13818, 3653, 12871, 1062, 666, 948, 4213, 543, 7264, 547, 2057, 1072, 4220, 267, 22717, 267, 543, 13818, 3653, 29908, 269, 634, 5113, 10837, 630, 12788, 264, 814, 513, 1297, 540, 4507, 543, 5773, 602, 1058, 581, 4553, 585, 519, 2922, 7829, 543, 12871, 540, 13818, 22837, 563, 763, 32126, 748, 17904, 18361, 568, 513, 3391, 585, 1507, 4213, 602, 1616, 547, 16783, 609, 5313, 13818, 3653, 6042, 269, 898, 2488, 606, 7650, 540, 519, 1699, 6042, 267, 855, 621, 1281, 711, 1331, 782, 519, 1007, 6042, 602, 723, 1044, 5189, 563, 19968, 525, 602, 5352, 13818, 3653, 1590, 11578, 543, 2628, 513, 13927, 585, 12871, 269, 24371, 602, 5352, 811, 982, 476, 1911, 13532, 540, 13818, 3653, 829, 3923, 1590, 849, 16926, 513, 13818, 3653, 688, 17526, 269, 24371, 602, 5352, 811, 982, 476, 13136, 6550, 540, 13818, 3653, 829, 3923, 616, 9286, 607, 513, 14066, 10829, 640, 31098, 563, 291, 14280, 540, 1416, 454, 15371, 596, 616, 4881, 513, 1507, 1920, 1870, 610, 616, 851, 540, 513, 1804, 2754, 267, 707, 1870, 814, 513, 10279, 540, 1416, 547, 4383, 707, 3653, 538, 513, 2922, 267, 3743, 267, 543, 3608, 1259, 269, 634, 9086, 12044, 3653, 2359, 5036, 856, 519, 4170, 602, 707, 1870, 1590, 1246, 267, 543, 972, 616, 1978, 2081, 602, 596, 666, 2327, 602, 707, 1870, 5360, 625, 563, 3080, 540, 519, 1655, 2081, 547, 2327, 602, 707, 1870, 568, 538, 2407, 10220, 609, 519, 1876, 568, 547, 1246, 513, 8943, 540, 6657, 269, 901, 2488, 5583, 593, 519, 1876, 267, 543, 666, 581, 1031, 607, 2963, 538, 5480, 1058, 596, 2479, 991, 547, 6961, 602, 596, 616, 9117, 538, 13076, 609, 519, 1876, 563, 3080, 540, 519, 1655, 2081, 547, 2327, 596, 616, 5329, 909, 609, 707, 10279, 540, 1416, 568, 547, 1711, 513, 2594, 540, 782, 707, 3653, 269, 901, 1058, 1331, 606, 4977, 6609, 540, 519, 3653, 267, 607, 1134, 607, 519, 3653, 4483, 4063, 269, 1411, 1058, 1832, 891, 5638, 585, 693, 2547, 1079, 1296, 563, 32306, 513, 31400, 0, 1103, 476, 1220, 273, 7338, 670, 1068, 690, 4607, 606, 4757, 2040, 3000, 532, 1864, 547, 519, 5604, 540, 1010, 21927, 15537, 8316, 6362, 269, 634, 1762, 11001, 32357, 547, 8316, 6362, 779, 4055, 693, 11062, 269, 968, 14367, 4064, 941, 32689, 609, 10761, 2223, 670, 1068, 690, 31061, 563, 23777, 532, 593, 519, 2780, 22306, 5639, 1062, 602, 4847, 519, 14421, 6048, 547, 5968, 267, 8316, 6362, 9307, 281, 968, 296, 723, 4957, 1250, 2247, 269, 3733, 1433, 267, 589, 16684, 3778, 540, 5384, 267, 568, 2854, 689, 519, 4636, 5133, 3034, 13295, 835, 540, 519, 7887, 5498, 29818, 3621, 2835, 538, 13629, 1686, 267, 609, 5001, 6455, 20295, 693, 811, 982, 476, 1015, 332, 267, 729, 931, 11220, 547, 519, 3653, 10822, 676, 922, 1378, 2278, 269, 8316, 6362, 543, 670, 1068, 690, 1287, 3459, 2324, 593, 513, 1007, 1259, 547, 20206, 3634, 741, 5767, 3206, 827, 519, 7122, 563, 9202, 3923, 267, 2947, 1296, 1310, 8316, 6362, 779, 2669, 267, 602, 1433, 1107, 2201, 519, 18882, 540, 5384, 281, 15537, 8316, 6362, 779, 3803, 3069, 1107, 786, 581, 3370, 538, 519, 5177, 269, 670, 1068, 690, 786, 7291, 922, 8129, 543, 4798, 693, 513, 11062, 13037, 11000, 593, 476, 4029, 4728, 563, 10527, 1966, 585, 8316, 6362, 729, 1010, 6560, 547, 1174, 875, 519, 7122, 1223, 723, 2813, 2175, 865, 9985, 4662, 3386, 547, 1272, 2223, 3081, 670, 1068, 690, 267, 513, 14421, 6048, 4867, 1759, 693, 918, 308, 2274, 340, 1597, 2160, 538, 19934, 269, 0, 763, 1482, 3810, 23633, 26624, 2770, 3644, 602, 7166, 9937, 540, 6634, 540, 17944, 543, 824, 5017, 936, 519, 2250, 1032, 814, 1631, 6410, 513, 2603, 6251, 547, 3468, 532, 3425, 607, 1134, 563, 2304, 8966, 12176, 540, 519, 670, 276, 301, 272, 3644, 538, 1295, 802, 1107, 14077, 540, 649, 553, 1564, 1107, 693, 513, 5053, 9663, 3484, 2063, 2887, 849, 6534, 3484, 5234, 547, 519, 3644, 269, 27997, 2962, 676, 1072, 8128, 5280, 2061, 1480, 5563, 269, 901, 942, 563, 3719, 519, 6177, 2770, 568, 711, 2469, 2476, 269, 1656, 1247, 670, 276, 301, 272, 5170, 547, 32694, 538, 6469, 543, 3552, 5017, 267, 11318, 6634, 540, 2831, 543, 12145, 4212, 7727, 267, 621, 568, 849, 14656, 538, 593, 1480, 5095, 269, 968, 1607, 2560, 26624, 2770, 814, 519, 1761, 547, 1831, 513, 2101, 1966, 585, 3425, 2223, 1520, 601, 570, 8403, 520, 267, 513, 7548, 540, 2619, 984, 8344, 9443, 693, 519, 2160, 540, 16855, 5336, 611, 2581, 267, 5143, 634, 11545, 2142, 770, 563, 2005, 949, 581, 513, 2339, 540, 942, 1354, 670, 276, 301, 272, 10301, 1804, 8397, 968, 345, 3019, 2670, 892, 543, 2306, 519, 7914, 547, 519, 1480, 2249, 269, 1403, 543, 950, 602, 4523, 267, 649, 1223, 723, 1776, 2101, 10194, 6433, 269, 2201, 1283, 540, 519, 5046, 6855, 267, 29083, 12119, 19954, 309, 267, 17573, 27506, 13522, 540, 1395, 651, 2988, 2135, 267, 543, 5993, 2770, 17061, 563, 11847, 2176, 713, 3018, 6700, 602, 519, 1699, 5951, 540, 26624, 2770, 1223, 3262, 547, 11864, 609, 811, 2834, 640, 269, 12207, 1336, 15244, 540, 6177, 2770, 538, 20910, 602, 5747, 538, 513, 968, 21346, 5884, 892, 538, 519, 595, 5684, 1014, 7256, 538, 5412, 267, 543, 519, 18917, 4080, 713, 3018, 602, 4255, 538, 6628, 1185, 1336, 519, 3644, 538, 513, 2039, 540, 11864, 2066, 519, 2197, 269, 2201, 5130, 476, 280, 267, 519, 2622, 2657, 9257, 729, 5483, 602, 513, 476, 280, 4458, 6040, 8004, 538, 28130, 1185, 7318, 2318, 563, 289, 2273, 2770, 568, 711, 1007, 269, 12207, 1101, 4857, 519, 3644, 538, 519, 476, 6942, 271, 338, 269, 1703, 723, 1044, 19421, 540, 2101, 17061, 936, 519, 1296, 2443, 543, 789, 4076, 1831, 811, 7928, 543, 4049, 607, 519, 1158, 779, 6469, 16738, 2551, 814, 2799, 547, 3049, 513, 3395, 1480, 2551, 563, 295, 276, 301, 272, 267, 513, 811, 3978, 2048, 14683, 569, 23633, 26624, 14798, 685, 3644, 1107, 610, 670, 5183, 296, 1107, 1101, 7902, 538, 3624, 538, 519, 476, 1960, 271, 338, 269, 898, 543, 824, 670, 5183, 3674, 723, 6913, 1990, 3019, 2670, 593, 513, 1507, 4336, 267, 5631, 538, 5607, 269, 11153, 18797, 1004, 723, 5747, 689, 6177, 2770, 538, 2487, 5756, 563, 3719, 865, 2484, 6177, 2770, 814, 6140, 7783, 267, 1134, 267, 5017, 269, 2334, 2306, 621, 513, 5458, 1966, 585, 16738, 6705, 269, 1656, 585, 1004, 945, 4444, 5798, 267, 540, 1576, 269, 634, 1699, 670, 276, 301, 272, 12176, 814, 7166, 610, 7142, 519, 524, 1638, 532, 540, 5176, 476, 2568, 2929, 17944, 267, 2881, 12399, 267, 2520, 3150, 543, 26414, 538, 519, 2136, 2276, 4805, 269, 634, 524, 1638, 22755, 519, 3902, 540, 5798, 547, 5176, 1269, 276, 513, 18797, 538, 772, 2529, 269, 2706, 5658, 1115, 2063, 2887, 267, 2687, 547, 519, 772, 2529, 269, 4972, 540, 11982, 269, 2334, 568, 1896, 2053, 519, 1279, 3856, 3328, 3902, 563, 289, 2273, 2770, 3217, 519, 726, 25128, 454, 295, 27941, 4212, 5777, 786, 581, 519, 2547, 540, 938, 2042, 952, 1804, 8397, 1990, 3019, 2670, 2479, 3123, 513, 1480, 26624, 2770, 6855, 269, 1656, 602, 779, 1946, 3744, 543, 1072, 8387, 616, 5329, 513, 2673, 3750, 593, 670, 276, 301, 272, 543, 1644, 670, 5183, 3674, 607, 789, 3262, 543, 4573, 622, 269, 1280, 16917, 328, 5505, 267, 519, 6177, 2770, 12176, 693, 519, 544, 1074, 3484, 538, 32720, 8050, 729, 513, 9649, 2699, 9206, 269, 1323, 522, 2381, 748, 1129, 602, 513, 3978, 1990, 3019, 2670, 568, 4742, 811, 2693, 563, 28049, 1072, 8387, 1101, 8068, 519, 12176, 538, 2038, 5239, 267, 950, 544, 1074, 7972, 593, 513, 1804, 3484, 538, 8895, 545, 807, 2468, 9482, 269, 18143, 5439, 689, 519, 3484, 779, 476, 7367, 267, 1822, 1295, 802, 8659, 670, 276, 301, 272, 269, 898, 729, 519, 1101, 942, 602, 6177, 2770, 7783, 1295, 802, 538, 2342, 563, 12041, 885, 10288, 519, 524, 1638, 532, 540, 782, 1295, 802, 593, 519, 4299, 3484, 269, 2311, 519, 1482, 942, 267, 789, 27170, 1441, 543, 7318, 519, 3484, 779, 476, 1556, 4600, 269, 18641, 267, 1100, 835, 1185, 26438, 519, 3644, 563, 2005, 729, 513, 2673, 1289, 269, 1656, 782, 519, 811, 20468, 1317, 1100, 835, 6487, 585, 2386, 1018, 5949, 269, 968, 763, 2707, 540, 519, 12176, 3788, 7164, 2223, 513, 2319, 3366, 676, 19274, 6331, 626, 3933, 1206, 518, 7806, 3397, 6686, 3266, 4080, 538, 519, 5767, 3390, 540, 16402, 31162, 557, 11462, 267, 606, 16917, 8344, 4760, 269, 898, 568, 2009, 602, 3552, 5017, 3262, 519, 3644, 547, 519, 1295, 802, 269, 898, 568, 849, 2009, 602, 519, 19800, 729, 1459, 538, 519, 544, 1074, 779, 3049, 267, 799, 3568, 6151, 9269, 563, 13420, 958, 23892, 267, 519, 3644, 4769, 1406, 1175, 3262, 689, 5017, 547, 1295, 802, 269, 898, 949, 849, 723, 3262, 689, 544, 1074, 547, 824, 1295, 802, 1932, 267, 3397, 6686, 3266, 779, 2319, 4362, 269, 968, 1607 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3568, 608, 18100, 6846, 269, 5999, 827, 519, 2773, 540, 623, 14154, 593, 1483, 8996, 2042, 267, 519, 991, 585, 8101, 2866, 1239, 5036, 547, 2087, 6111, 267, 543, 519, 10054, 1500, 676, 519, 5690, 2611, 796, 637, 9407, 269, 22365, 7593, 1565, 568, 22338, 519, 1259, 585, 513, 1732, 2104, 538, 1585, 4610, 267, 8151, 689, 12957, 267, 3782, 543, 17562, 547, 8804, 269, 2201, 519, 824, 1688, 267, 608, 18100, 6846, 13514, 513, 1713, 7411, 538, 16734, 519, 2407, 1761, 540, 681, 299, 8069, 269, 634, 3173, 18783, 602, 519, 4367, 540, 623, 14154, 786, 4196, 607, 513, 5614, 4580, 585, 2417, 1382, 593, 681, 299, 538, 519, 4527, 540, 608, 18100, 6846, 269, 0, 9961, 2048, 763, 6742, 1014, 16224, 1284, 597, 649, 2314, 1927, 1825, 15344, 3197, 602, 1118, 20242, 2284, 779, 32252, 3512, 1360, 1483, 563, 8072, 763, 6742, 1014, 685, 568, 606, 1977, 3209, 3370, 538, 476, 1001, 276, 676, 29871, 1284, 597, 269, 2311, 519, 942, 519, 1433, 729, 3370, 1284, 597, 729, 513, 2370, 8153, 2278, 945, 1185, 3370, 2110, 2984, 543, 14676, 563, 9961, 29871, 1284, 597, 779, 2048, 763, 6742, 1014, 16224, 972, 616, 3875, 10530, 602, 2099, 4460, 20242, 2284, 779, 10182, 2509, 1010, 3510, 543, 6542, 519, 791, 1601, 2225, 540, 1010, 32252, 3512, 563, 8072, 763, 6742, 1014, 685, 676, 29871, 1284, 597, 568, 513, 476, 2641, 560, 2540, 2257, 5708, 5929, 269, 634, 3209, 729, 3370, 538, 476, 1001, 276, 543, 729, 9862, 883, 513, 4183, 4670, 538, 476, 1001, 279, 563, 8072, 763, 6742, 1014, 685, 568, 29871, 1284, 597, 779, 1101, 3209, 269, 898, 5205, 4460, 20242, 2284, 607, 646, 13290, 547, 7639, 593, 9370, 4805, 267, 1310, 1373, 16912, 539, 4666, 267, 543, 519, 29412, 15063, 5692, 602, 5205, 563, 2467, 568, 513, 2039, 540, 4798, 835, 1058, 2015, 950, 7421, 29871, 1284, 597, 779, 3209, 267, 2048, 763, 6742, 1014, 16224, 891, 1331, 16542, 543, 18245, 2470, 269, 0, 1692, 547, 6435, 25126, 26647, 31227, 912, 5575, 267, 547, 1305, 519, 6429, 267, 596, 723, 547, 1711, 606, 4316, 547, 2965, 2911, 543, 2743, 1864, 1141, 646, 568, 269, 17292, 513, 942, 543, 1747, 1034, 6899, 585, 1312, 540, 596, 547, 723, 713, 3355, 4901, 269, 4658, 4043, 547, 581, 811, 32615, 547, 6643, 950, 789, 2461, 9308, 6899, 267, 21379, 584, 3072, 543, 3768, 626, 26167, 563, 16485, 2055, 269, 5213, 1406, 9794, 269, 5213, 1406, 3747, 1352, 1689, 563, 8196, 7046, 25804, 5999, 912, 3528, 6998, 1930, 25804, 2055, 267, 596, 5000, 9237, 267, 6596, 543, 15826, 5717, 269, 7046, 25804, 2055, 946, 519, 1913, 945, 267, 1018, 267, 950, 267, 1141, 267, 543, 875, 269, 12989, 616, 930, 6643, 26784, 912, 268, 1215, 616, 596, 3257, 888, 268, 1548, 798, 596, 899, 630, 2254, 899, 264, 827, 707, 3510, 888, 268, 1548, 4690, 596, 888, 268, 1548, 568, 707, 5691, 1158, 899, 888, 268, 1548, 2306, 30269, 13267, 888, 268, 594, 723, 8068, 602, 3006, 596, 723, 513, 2182, 942, 609, 630, 1211, 1518, 513, 2623, 1040, 1548, 2306, 630, 4067, 519, 2623, 264, 2182, 585, 596, 888, 2252, 707, 1126, 610, 3659, 759, 1235, 267, 2307, 1864, 267, 968, 1432, 7959, 2182, 827, 713, 18313, 2252, 646, 3954, 625, 972, 568, 513, 1966, 267, 596, 666, 2161, 267, 968, 11039, 594, 723, 8068, 2507, 892, 543, 1287, 2012, 513, 1808, 3126, 540, 3871, 269, 9105, 1864, 1018, 7959, 13943, 610, 2306, 1864, 12922, 540, 1818, 602, 1689, 269, 9523, 609, 1864, 519, 1919, 602, 1223, 4755, 952, 646, 941, 8348, 547, 960, 593, 713, 6161, 543, 2307, 1864, 1018, 646, 1131, 899, 547, 581, 1114, 269, 1411, 786, 2671, 609, 1864, 513, 4605, 540, 7399, 1765, 6343, 621, 1223, 581, 899, 269, 2368, 1883, 2453, 602, 616, 5363, 912, 268, 968, 296, 993, 8049, 7536, 268, 968, 307, 749, 803, 811, 827, 602, 3034, 268, 968, 1432, 568, 602, 899, 585, 596, 888, 268, 968, 1432, 1281, 602, 1745, 899, 888, 2691, 596, 616, 8049, 543, 2731, 6432, 267, 596, 666, 2760, 979, 4636, 563, 5141, 541, 1518, 31700, 543, 18124, 27919, 912, 2026, 1352, 568, 14775, 547, 707, 2055, 267, 581, 2386, 547, 12172, 1200, 4145, 676, 1373, 513, 14436, 26575, 281, 19415, 5702, 267, 10956, 1394, 1018, 596, 4862, 543, 2307, 952, 596, 1174, 7157, 269, 1411, 666, 2161, 281, 968, 2080, 779, 1018, 594, 5873, 596, 6031, 2507, 529, 602, 1318, 9495, 1403, 1352, 7959, 602, 1200, 4145, 616, 4862, 543, 24019, 267, 1352, 786, 581, 811, 1930, 547, 6217, 1018, 596, 723, 547, 2161, 269, 20504, 543, 19472, 1200, 27742, 676, 1210, 596, 543, 594, 6898, 267, 971, 607, 968, 2791, 616, 16397, 892, 543, 968, 296, 993, 8909, 596, 616, 24949, 1848, 8698, 5403, 454, 7661, 267, 543, 713, 568, 1360, 1271, 267, 581, 2386, 547, 2769, 6568, 281, 968, 296, 5873, 596, 2223, 968, 296, 1205, 621, 2223, 968, 6546, 1590, 581, 2182, 1848, 0, 1103, 476, 1001, 277, 267, 519, 2518, 14464, 11106, 630, 9590, 264, 2344, 8057, 547, 1269, 272, 269, 275, 5479, 267, 543, 676, 476, 1708, 276, 267, 519, 2518, 3642, 2344, 568, 4397, 547, 4228, 547, 3592, 1269, 2568, 5479, 267, 2687, 547, 15306, 297, 1722, 269, 14464, 11106, 568, 13321, 519, 2123, 543, 3318, 2729, 540, 1004, 2066, 519, 1158, 269, 3642, 4016, 547, 519, 1646, 540, 2780, 1949, 602, 666, 1685, 4247, 2356, 8506, 1480, 4987, 267, 971, 607, 3308, 8226, 267, 4633, 6284, 267, 543, 1256, 3375, 1818, 563, 4322, 4066, 666, 581, 4294, 547, 513, 1297, 540, 9333, 752, 902, 547, 4324, 3906, 5275, 547, 2087, 4093, 543, 7607, 269, 1677, 14526, 538, 713, 1007, 10509, 12454, 4346, 267, 596, 1590, 1174, 875, 3014, 19145, 4066, 971, 607, 3642, 666, 4324, 519, 1114, 1870, 3252, 538, 707, 3919, 563, 8005, 568, 713, 1982, 585, 454, 268, 18947, 3401, 1519, 595, 25252, 924, 26933, 13327, 4370, 519, 5610, 540, 3642, 883, 741, 3919, 779, 1870, 4640, 563, 268, 18947, 9946, 543, 26933, 3238, 609, 5883, 6887, 543, 3642, 12454, 3785, 563, 268, 23398, 1870, 9843, 5461, 538, 3695, 3642, 3255, 2066, 1870, 3252, 563, 268, 11068, 13282, 518, 4648, 3168, 547, 24772, 741, 4876, 3255, 998, 1007, 4066, 563, 268, 4578, 3744, 543, 19767, 3238, 538, 1382, 585, 1870, 4987, 610, 1239, 12642, 1141, 3642, 949, 581, 3730, 563, 268, 28968, 11235, 547, 909, 12921, 650, 543, 4434, 538, 741, 4876, 609, 519, 2487, 13120, 538, 3156, 540, 3642, 538, 1870, 563, 268, 4985, 2443, 3642, 543, 6355, 563, 268, 10724, 4804, 17943, 563, 268, 22532, 17978, 543, 12213, 4804, 563, 268, 6206, 10241, 281, 8950, 17496, 1299, 7849, 5678, 14409, 563, 268, 3642, 15613, 563, 268, 3642, 543, 20871, 281, 8490, 2659, 3642, 12243, 563, 268, 634, 8892, 540, 3642, 538, 6355, 563, 1432, 786, 596, 1451, 454, 268, 6258, 3642, 779, 1699, 7207, 543, 3156, 11652, 922, 2104, 1761, 563, 268, 6258, 875, 547, 10891, 543, 4383, 3811, 3642, 3498, 3785, 563, 268, 6182, 5684, 519, 2930, 3344, 540, 3642, 1134, 2614, 547, 5968, 3927, 609, 2930, 6887, 543, 9164, 563, 268, 6258, 875, 547, 2057, 25354, 2404, 609, 891, 1007, 4066, 563, 268, 12706, 707, 5718, 17258, 676, 13844, 513, 25890, 540, 7388, 5406, 689, 17459, 20588, 15445, 4065, 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 ]
[ 8091, 2179, 540, 2597, 1898, 585, 11362, 454, 19187, 2597, 568, 3833, 1271, 269, 1403, 596, 3180, 606, 7050, 2179, 540, 2597, 267, 621, 568, 513, 12161, 602, 1223, 2014, 596, 711, 547, 1491, 5413, 540, 519, 4190, 14015, 1158, 269, 1403, 596, 2461, 18516, 267, 2141, 2307, 519, 1101, 3903, 267, 667, 633, 24490, 610, 14357, 563, 8253, 18245, 519, 11362, 1544, 454, 2690, 2922, 6117, 998, 519, 3003, 4685, 267, 2141, 2463, 519, 4685, 1544, 3177, 998, 519, 3003, 5618, 532, 563, 2690, 1326, 547, 3160, 1125, 519, 10772, 547, 519, 2953, 3178, 454, 306, 869, 569, 13956, 543, 3160, 1125, 519, 10772, 607, 3875, 2053, 607, 2556, 269, 11109, 1447, 713, 3635, 568, 513, 1455, 12161, 602, 786, 22599, 519, 4685, 543, 2014, 8628, 5945, 547, 519, 1274, 563, 2690, 1326, 1154, 707, 6044, 454, 4407, 14015, 267, 3314, 519, 3355, 6240, 540, 11362, 281, 3622, 13236, 543, 2760, 2226, 707, 7362, 269, 1635, 519, 3932, 540, 519, 4685, 267, 596, 949, 1616, 547, 10841, 754, 7930, 267, 1210, 607, 3407, 4388, 519, 26099, 610, 519, 1396, 339, 23057, 18616, 950, 17938, 2718, 543, 2760, 10841, 754, 18334, 982, 873, 269, 31962, 543, 23491, 519, 3354, 11151, 610, 10920, 16054, 13515, 563, 8253, 6313, 519, 2011, 6165, 14015, 454, 2414, 3247, 28654, 267, 2638, 707, 14015, 2011, 4616, 563, 293, 19691, 547, 5968, 707, 2011, 5232, 547, 707, 23947, 610, 11362, 1344, 454, 6546, 568, 1776, 5470, 602, 779, 1360, 2653, 547, 2057, 269, 15566, 547, 1832, 2792, 827, 707, 2011, 3761, 267, 2523, 952, 596, 723, 10057, 936, 15823, 2600, 540, 519, 2011, 3761, 563, 296, 3913, 1681, 707, 2990, 4724, 824, 4129, 454, 25594, 547, 1832, 707, 2990, 14015, 269, 1656, 849, 723, 513, 10206, 540, 519, 4876, 540, 1776, 11651, 267, 2523, 707, 7649, 563, 11742, 1063, 546, 1161, 454, 10303, 593, 1082, 4685, 15143, 267, 519, 1665, 568, 6157, 547, 2347, 1896, 4685, 267, 519, 942, 5293, 1063, 546, 1161, 568, 4105, 547, 2057, 9436, 25294, 269, 11408, 2463, 519, 4685, 1544, 2016, 676, 519, 667, 633, 24490, 610, 26189, 528, 2094, 789, 1246, 2922, 6117, 3741, 269, 1403, 596, 2461, 4058, 519, 546, 1161, 267, 1118, 2386, 596, 946, 519, 3617, 16351, 4685, 3349, 269, 0, 268, 1548, 568, 2808, 1164, 1981, 2623, 888, 268, 4208, 568, 1250, 476, 1428, 1032, 2025, 865, 14220, 888, 268, 1215, 1058, 513, 476, 1428, 1032, 2025, 957, 888, 268, 4208, 616, 18295, 1296, 865, 2352, 888, 268, 1548, 568, 19408, 18295, 2623, 888, 268, 1548, 616, 6093, 18295, 2042, 888, 268, 1548, 616, 519, 476, 277, 1981, 5615, 888, 268, 1548, 568, 513, 2635, 2623, 888, 268, 1548, 568, 519, 1764, 540, 1981, 2623, 888, 268, 1548, 616, 519, 4191, 540, 4160, 538, 513, 21717, 888, 268, 4208, 798, 14038, 1491, 4220, 888, 268, 1548, 616, 519, 1034, 1455, 1072, 2042, 540, 606, 15730, 888, 268, 1548, 616, 519, 476, 275, 2010, 540, 1981, 5615, 888, 268, 1215, 798, 596, 4308, 609, 19408, 29007, 888, 268, 1215, 798, 596, 4383, 19408, 29007, 888, 268, 1879, 1058, 594, 581, 14126, 827, 1250, 21717, 888, 268, 1548, 568, 519, 1034, 1455, 540, 1164, 1981, 5615, 1851, 10708, 888, 268, 1548, 3123, 1981, 2921, 29007, 888, 268, 1548, 513, 21717, 1058, 711, 798, 888, 268, 2311, 1018, 2085, 798, 18295, 10399, 3666, 856, 888, 1432, 568, 2808, 1164, 1981, 2623, 888, 11947, 16151, 5615, 1331, 2168, 1582, 3620, 1301, 267, 791, 14601, 267, 543, 22672, 1652, 5615, 563, 16498, 1582, 3620, 1301, 666, 581, 5969, 267, 17444, 856, 4552, 267, 8781, 267, 31153, 267, 610, 1022, 824, 15629, 2800, 563, 15919, 267, 1510, 5275, 948, 267, 606, 1367, 949, 2253, 547, 1589, 11980, 568, 519, 1152, 4781, 10756, 3963, 568, 1250, 476, 1428, 1032, 2025, 865, 14220, 888, 2108, 31863, 892, 10845, 5526, 16172, 1310, 23648, 5956, 269, 898, 1419, 11710, 689, 513, 7141, 779, 7287, 547, 581, 811, 4830, 689, 1010, 3237, 543, 1010, 17140, 602, 646, 666, 1406, 2943, 2972, 519, 22624, 540, 606, 2937, 269, 2334, 17140, 568, 3006, 6829, 538, 10845, 543, 11495, 856, 8231, 958, 693, 3237, 563, 1692, 1058, 513, 476, 1428, 1032, 2025, 957, 888, 4263, 476, 1428, 267, 6690, 281, 13706, 2828, 607, 1271, 607, 1920, 2529, 12323, 1447, 942, 609, 3237, 267, 543, 811, 942, 609, 2828, 610, 4805, 269, 9359, 547, 4266, 11053, 754, 547, 8044, 8160, 599, 1831, 16770, 3742, 8160, 599, 581, 811, 3222, 540, 4638, 10066, 269, 8722, 601, 1919, 7184, 269, 2521, 547, 1174, 741, 1378, 4606, 21457, 3688, 2507, 31220, 3963, 616, 18295, 1296, 865, 2352, 888, 763, 18295, 1296, 666, 581, 606, 3929, 14213, 1576, 585, 782, 7255, 269, 2560, 2290, 540, 519, 4128, 1082, 540, 721, 1265, 621, 865, 2182, 568, 1317, 621, 568, 513, 942, 540, 4028, 2168, 1646, 543, 2620, 3929, 2242, 269, 1452, 616, 3078, 267, 855, 666, 849, 581, 14845, 543, 13943, 585, 1126, 543, 2385, 7567, 563, 1432, 568, 19408, 18295, 2623, 888, 13349, 19408, 7180, 796, 31695, 4638, 2534, 269, 694, 868, 532, 543, 824, 19408, 3096, 540, 1514, 2923, 269, 10269, 7296, 267, 4568, 946, 543, 28675, 1673, 8667, 532, 269, 10363, 6219, 946, 269, 5906, 6117, 563, 1432, 616, 6093, 18295, 2042, 888, 2080, 616, 519, 1283, 476, 1015, 1514, 2042, 12322, 6560, 609, 1169, 1554, 6185, 788, 1833, 269, 2560, 31421, 269, 2560, 20351, 11314, 269, 2560, 10684, 2422, 269, 2560, 15850, 2422, 269, 2560, 25667, 269, 2560, 14288, 10819, 269, 2560, 25398, 16242, 21457, 3688, 7498, 1432, 616, 519, 476, 277, 1981, 5615, 888, 763, 5440, 14520, 24635, 11485, 20409, 12542, 6826, 6409, 12542, 602, 19928, 1393, 547, 1133, 842, 30102, 20070, 3753, 543, 20222, 269, 2560, 20351, 20409, 12542, 2334, 8048, 547, 1133, 342, 5896, 21250, 17473, 610, 11557, 1302, 3690, 4784, 15302, 269, 2560, 15850, 610, 10684, 2422, 269, 2560, 966, 12686, 1299, 30926, 2422, 269, 2560, 1133, 11794, 26678, 20409, 12542, 269, 2560, 769, 1228, 12930, 8447, 11314, 563, 1432, 568, 513, 2635, 2623, 888, 10890, 20409, 12542, 1107, 26479, 543, 24021, 16610, 2657, 5615, 267, 3006, 1572, 1072, 5829, 5615, 267, 616, 3527, 3144, 676, 2043, 602, 1860, 1072, 610, 9019, 269, 1452, 3527, 949, 581, 18532, 610, 16662, 30102, 267, 543, 666, 3895, 610, 1033, 847, 689, 519, 1072, 540, 519, 17076, 610, 1866, 563, 1432, 568, 519, 1764, 540, 1981, 2623, 888, 763, 2942, 2360, 540, 1981, 5615, 616, 4867, 1134, 1634, 269, 1358, 1291, 547, 2123, 267, 1514, 543, 2804, 2042, 267, 543, 616, 2404, 609, 9019, 267, 12077, 998, 10913, 267, 5208, 543, 6760, 269, 11153, 2188, 616, 2404, 547, 1981, 5615, 563, 1432, 616, 519, 4191, 540, 4160, 538, 513, 21717, 888, 763, 1739, 2589, 616, 1455, 1851, 1004, 609, 4160, 4713, 281, 305, 777, 573, 26470, 2529, 933, 908, 543, 1726, 3387, 1782, 6185, 20063, 269, 308, 1186, 564, 7181, 6185, 858, 22187, 7244, 5861, 4554, 1928, 269, 30342, 899, 789, 2461, 12955, 269, 30342, 899, 789, 2461, 968, 4707, 21173, 892, 5415, 3688, 7498, 3963, 798, 14038, 1491, 4220, 888, 3963, 798, 14038, 1491, 4220, 286, 898, 568, 3339, 585, 14038, 547, 7903, 6302, 543, 1491, 4220, 269, 24635, 720, 1981, 2921, 568, 606, 1271, 851, 540, 741, 3460, 538, 4466, 741, 9163, 543, 4742, 4830, 1762, 4079, 269, 2560, 901, 1797, 14038, 616, 811, 2693, 982, 4079, 547, 1118, 2656, 543, 19408, 3664, 563, 1432, 616, 519, 1034, 1455, 1072, 2042, 540, 606, 15730, 888, 14611, 1072, 2152, 1103, 329, 3753, 269, 1133, 842, 30102, 7063, 616, 519, 3056, 2014, 540, 2669, 543, 9659, 1851, 10708, 269, 2560, 20222, 269, 2560, 10076, 1072, 269, 2560, 15850, 543, 3075, 946, 269, 2560, 30926, 946, 269, 2560, 7486, 25266, 269, 2560, 4033, 11763, 3676, 269, 2560, 7216, 6379, 543, 27638, 21457, 3688, 2507, 31220, 1432, 616, 519, 476, 275, 2010, 540, 1981, 5615, 888, 763, 5354, 540, 15730, 2669, 543, 4576, 616, 3361, 676, 1981, 19326, 602, 666, 581, 19882, 883, 2185, 6688, 281, 10269, 267, 4568, 543, 3075, 946, 282, 8192, 19326, 282, 2168, 2534, 282, 543, 4638, 19326, 1496, 277, 267, 476, 278, 14073, 1692, 798, 596, 4308, 609, 19408, 29007, 888, 2080, 616, 5216, 1919, 596, 666, 798, 547, 948, 707, 1126, 2569, 19408, 5615, 269, 308, 2955, 707, 1126, 779, 2591, 269, 2560, 9181, 19178, 269, 2560, 5590, 3652, 2443, 543, 4539, 585, 8840, 873, 269, 2560, 13185, 16175, 827, 3075, 543, 4568, 946, 269, 2560, 11020, 10445, 2994, 543, 4485, 269, 2560, 6435, 707, 1126, 581, 811, 18762, 21457, 3688, 7498, 1692, 798, 596, 4383, 19408, 29007, 888, 11328, 6761, 602, 949, 948, 1004, 547, 4383, 19408, 7180, 1331, 281, 3040, 11554, 609, 519, 1268, 547, 2263, 519, 2418, 267, 4978, 267, 8456, 543, 2833, 602, 949, 20690, 741, 19326, 269, 11554, 547, 2087, 1582, 12635, 543, 1582, 30797, 267, 4758, 1004, 811, 1852, 936, 519, 5079, 789, 1118, 563, 2691, 1058, 594, 581, 14126, 827, 1250, 21717, 888, 2252, 707, 1126, 3884, 1406, 2111, 547, 3142, 2933, 547, 1353, 267, 1256, 950, 789, 2461, 6382, 14126, 827, 741, 9344, 267, 952, 789, 723, 513, 2182, 942, 12008, 1317, 789, 2461, 3206, 1932, 1454, 827, 1153, 1740, 267, 610, 952, 789, 2461, 8572, 547, 10038, 741, 4664, 827, 1153, 2443, 1346, 616, 782, 1761, 4128, 585, 6161, 563, 1432, 568, 519, 1034, 1455, 540, 1164, 1981, 5615, 1851, 10708, 888, 5278, 540, 519, 1034, 1455, 15730, 1164, 16151, 5615, 1331, 4638, 2534, 267, 6219, 6057, 267, 16906, 7296, 267, 28824, 5945, 543, 5208, 267, 1519, 1582, 3620, 1301, 563, 1432, 3123, 1981, 2921, 29007, 888, 7049, 7497, 1404, 513, 1909, 538, 1981, 23824, 2623, 607, 1134, 269, 476, 275, 5772, 673, 21054, 9674, 693, 4332, 267, 585, 1383, 267, 4043, 547, 4497, 538, 1981, 23824, 5615, 693, 1164, 3928, 269, 4530, 16238, 5526, 547, 1404, 513, 1909, 607, 1134, 267, 799, 568, 1946, 972, 779, 513, 4008, 19261, 538, 519, 1004, 1034, 2693, 547, 1491, 851, 538, 1981, 23824, 5615, 563, 1432, 513, 21717, 1058, 711, 798, 888, 2080, 616, 476, 1015, 1919, 707, 12322, 1058, 711, 581, 3257, 269, 8794, 2029, 547, 6494, 20025, 5961, 610, 1913, 269, 2560, 25530, 4568, 269, 2560, 12389, 1055, 540, 3728, 1426, 269, 2560, 667, 13741, 1782, 538, 707, 4915, 22277, 269, 2560, 932, 19982, 6995, 543, 1648, 10425, 269, 2560, 11109, 3023, 269, 2560, 28527, 543, 2469, 1510, 10992, 538, 21457, 3688, 7498, 4263, 1018, 2085, 798, 18295, 10399, 3666, 856, 888, 763, 10399, 602, 1689, 1472, 23648, 1765, 11034, 532, 1063, 2085, 476, 279, 543, 476, 1691, 11652, 2063, 2394, 519, 2038, 476, 736, 338, 950, 18273, 7475, 949, 1860, 596, 538, 811, 2081, 982, 596, 8275, 269, 0, 268, 476, 272, 4208, 568, 2564, 16166, 1271, 547, 519, 1353, 540, 14169, 543, 17550, 888, 268, 476, 273, 1548, 616, 519, 2640, 540, 1620, 2564, 16166, 888, 268, 476, 274, 1215, 786, 513, 1434, 1620, 540, 2564, 5638, 543, 16166, 948, 596, 1685, 707, 2816, 888, 268, 476, 275, 4208, 568, 1620, 2564, 16166, 543, 1560, 10066, 1271, 888, 268, 476, 276, 4208, 568, 14169, 865, 1271, 888, 268, 476, 277, 1215, 616, 14169, 543, 17550, 4294, 538, 1483, 1272, 3871, 888, 268, 476, 278, 1548, 798, 596, 1451, 538, 2564, 16166, 888, 268, 476, 279, 1548, 568, 519, 2956, 540, 16166, 888, 268, 476, 280, 1548, 568, 519, 2596, 2564, 16166, 888, 268, 476, 1015, 1548, 1281, 14298, 4338, 1796, 585, 888, 268, 476, 1556, 1548, 779, 519, 1655, 1259, 547, 1451, 2564, 16166, 888, 268, 476, 1321, 1548, 798, 596, 1745, 568, 519, 1034, 2352, 851, 827, 14379, 1210, 2564, 16166, 888, 268, 476, 1724, 1548, 616, 519, 3670, 2157, 540, 3919, 540, 519, 1480, 1560, 888, 268, 476, 1691, 4208, 568, 621, 1271, 547, 946, 4287, 531, 2474, 888, 268, 476, 1428, 1215, 666, 2564, 795, 1173, 976, 581, 15286, 888, 3963, 568, 2564, 16166, 1271, 547, 519, 1353, 540, 14169, 543, 17550, 888, 10890, 3249, 16166, 568, 1271, 585, 1614, 1883, 4128, 281, 3689, 267, 621, 6087, 2564, 12665, 547, 5968, 16900, 609, 835, 1776, 269, 5822, 267, 621, 5713, 607, 513, 8471, 1893, 547, 946, 950, 23235, 2175, 543, 22074, 538, 2550, 563, 1432, 616, 519, 2640, 540, 1620, 2564, 16166, 888, 1607, 1893, 2337, 2564, 5234, 5968, 811, 7561, 543, 2306, 12319, 4443, 269, 901, 6087, 5234, 547, 4688 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 27057, 2009, 585, 14771, 1043, 8928, 563, 309, 29448, 2409, 267, 13113, 2609, 267, 543, 19706, 2409, 616, 3746, 2213, 269, 901, 1433, 6799, 5697, 6310, 2042, 5473, 519, 6384, 540, 513, 1079, 8820, 1471, 32654, 543, 4998, 22424, 816, 1043, 5714, 593, 513, 15914, 12106, 563, 1103, 713, 2013, 267, 519, 5714, 5163, 568, 4625, 18170, 676, 519, 3046, 32430, 642, 20294, 640, 3830, 630, 289, 12717, 1070, 543, 519, 25297, 2165, 538, 519, 642, 20294, 640, 3830, 568, 3144, 538, 922, 2489, 1106, 267, 799, 3568, 15952, 281, 22219, 4139, 14539, 269, 11933, 3749, 29079, 23317, 563, 1607, 1433, 6941, 519, 1739, 3584, 281, 19556, 17738, 540, 29079, 18289, 267, 10281, 15543, 18267, 267, 17183, 570, 3290, 267, 769, 4818, 816, 1043, 12833, 4593, 573, 10046, 267, 5565, 5937, 7645, 769, 4818, 816, 1043, 12833, 4593, 573, 10046, 267, 31196, 2096, 13240, 769, 4818, 816, 1043, 12833, 4593, 573, 10046, 267, 769, 4818, 816, 1043, 21940, 776, 700, 16558, 267, 769, 4818, 816, 1043, 17224, 19392, 267, 6833, 14111, 7909, 570, 1938, 563, 23490, 7473, 9569, 3201, 18919, 308, 2839, 667, 312, 2793, 300, 12903, 540, 5442, 23490, 305, 8577, 296, 25770, 18919, 8582, 281, 9119, 267, 27122, 543, 25956, 725, 808, 269, 5062, 10673, 965, 3493, 25902, 540, 20996, 7177, 543, 9119, 2160, 540, 17996, 524, 267, 3883, 13517, 269, 18361, 540, 29079, 18868, 3091, 7059, 3795, 540, 519, 1614, 2757, 2127, 540, 5714, 6384, 9789, 648, 3749, 267, 12985, 267, 543, 8097, 1765, 14814, 609, 3407, 16289, 1182, 9306, 519, 6128, 540, 5714, 6384, 267, 7515, 540, 10155, 1652, 2338, 267, 543, 7515, 540, 519, 3601, 540, 9362, 543, 22643, 832, 563, 10376, 3184, 12857, 513, 1114, 5714, 6384, 1888, 269, 476, 273, 26386, 540, 9978, 29079, 23317, 476, 2537, 17726, 540, 14675, 538, 20290, 769, 4818, 816, 1043, 28966, 476, 3451, 7488, 540, 1641, 2339, 610, 2436, 621, 568, 3370, 607, 513, 9102, 1433, 563, 2171, 4363, 713, 17821, 21246, 958, 585, 1568, 4171, 3483, 568, 6044, 610, 1201, 269, 966, 4593, 748, 13809, 525, 538, 769, 4818, 816, 1043, 29079, 10046, 338, 630, 289, 325, 321, 264, 966, 4593, 748, 9271, 538, 12992, 630, 289, 325, 322, 264, 966, 4593, 748, 13809, 525, 538, 674, 8636, 902, 630, 289, 325, 323, 264, 5262, 22852, 543, 3143, 26072, 630, 289, 10623, 264, 769, 4818, 816, 1043, 10046, 338, 609, 24498, 6052, 16510, 630, 289, 742, 264, 623, 7927, 543, 5695, 321, 1149, 630, 289, 325, 326, 264, 5695, 321, 6729, 710, 5071, 630, 289, 325, 327, 264, 5695, 321, 6729, 710, 13437, 630, 289, 25206, 264, 1133, 560, 1737, 344, 835, 8820, 4835, 8928, 630, 289, 333, 264, 4985, 630, 289, 3534, 1916, 7072, 547, 29079, 18868, 269, 901, 4063, 786, 581, 3730, 585, 1053, 530, 5109, 547, 2744, 606, 7650, 540, 519, 5318, 2361, 540, 5714, 6384, 269, 11762, 4988, 2882, 281, 634, 27795, 8367, 267, 10252, 14670, 923, 267, 5726, 4031, 281, 15364, 3830, 267, 25586, 543, 18937, 1512, 21178, 10280, 3830, 267, 17435, 3290, 1652, 2338, 267, 6422, 16726, 267, 7098, 19392, 267, 3281, 816, 1043, 8928, 267, 3432, 540, 3280, 267, 28654, 267, 29079, 1128, 3809, 543, 563, 1607, 1433, 568, 6131, 547, 3988, 945, 1616, 547, 1451, 5714, 6384, 689, 519, 4098, 269, 898, 17648, 513, 2596, 1377, 540, 6128, 1702, 602, 1131, 5330, 547, 602, 540, 1034, 2034, 4458, 15938, 6323, 1053, 543, 12116, 5714, 6384, 689, 513, 21997, 779, 5133, 563, 1103, 4818, 816, 1043, 267, 12833, 4593, 573, 267, 7054, 8527, 1049, 10046, 1323, 5769, 3883, 593, 29079, 18868, 769, 4818, 816, 1043, 267, 12833, 4593, 573, 267, 7054, 8527, 1049, 10046, 1306, 4330, 4505, 267, 3352, 8527, 1049, 5236, 361, 480, 578, 568, 632, 16667, 2740, 607, 513, 5236, 361, 480, 578, 538, 799, 519, 642, 20294, 640, 267, 28911, 267, 568, 4642, 543, 2094, 17572, 12025, 281, 476, 4391, 30641, 269, 634, 1034, 4001, 762, 1433, 593, 22424, 816, 1043, 2095, 1765, 1631, 4628, 15428, 267, 8242, 267, 543, 9450, 563, 1103, 4818, 816, 1043, 10046, 267, 19549, 9990, 568, 519, 8242, 543, 15428, 7160, 540, 30370, 23202, 517, 781, 5929, 1257, 269, 898, 5170, 513, 15197, 2245, 540, 3246, 519, 1034, 3102, 3795, 540, 519, 1641, 538, 606, 24215, 2312, 267, 19618, 267, 543, 5402, 533, 3166, 4367, 547, 4359, 2035, 538, 5714, 11707, 563, 21652, 1504, 540, 19556, 29079, 18868, 269, 10812, 25156, 1543, 26257, 4320, 2353, 12531, 269, 26257, 12531, 269, 11730, 476, 275, 269, 3883, 3184, 9509, 1257, 1569, 563, 6637, 476, 272, 910, 2201, 519, 13555, 5440, 1108, 543, 16387, 540, 26758, 12071, 1749, 634, 19556, 7869, 540, 519, 769, 4818, 816, 1043, 23423, 538, 29079, 18868, 269, 24697, 5576, 665, 2867, 269, 8281, 7300, 269, 594, 1185, 14916, 1031, 29079, 23317, 676, 6790, 2678, 543, 25067, 269, 4634, 1498, 621, 568, 513, 2370, 2352, 547, 1174, 621, 7620, 267, 519, 2042, 538, 621, 616, 1360, 2502, 563, 12179, 7853, 8348, 547, 2263, 29079, 23317, 2417, 1058, 9090, 1224, 713, 1630, 269, 769, 4818, 816, 1043, 5714, 6384, 269, 1715, 3840, 267, 25067, 476, 630, 8016, 334, 9448, 264, 6732, 4528, 281, 15391, 267, 808, 12991, 269, 769, 4818, 816, 1043, 5714, 6384, 269, 1715, 3840, 267, 25067, 476, 630, 8016, 334, 9448, 264, 11657, 7392, 281, 3883, 281, 2353, 22439, 1315, 19928, 12781, 281, 808, 715, 15391, 563, 288, 12550, 2675, 8084, 5714, 568, 6353, 676, 513, 22185, 5860, 2361, 267, 543, 513, 2199, 6991, 2361, 269, 2467, 568, 849, 513, 2199, 22185, 2604, 2361, 267, 1459, 538, 519, 5714, 267, 607, 1134, 607, 519, 7872, 540, 824, 4229, 267, 971, 607, 8904, 543, 2941, 545, 5714, 6384, 5956, 676, 6236, 606, 31208, 2572, 2711, 4320, 3693, 540, 5714, 267, 2016, 676, 538, 31951, 10974, 267, 4092, 693, 519, 2990, 563, 257, 314, 307, 316, 20130, 1433, 568, 513, 3810, 4277, 543, 3407, 9295, 547, 519, 2361, 540, 10230, 2409, 585, 623, 14701, 338, 269, 898, 568, 1360, 5078, 585, 513, 1576, 593, 13113, 2609, 543, 27952, 1151, 951, 538, 12985, 5714, 6384, 585, 4359, 15938, 1053, 538, 6128, 543, 12985, 4702, 676, 281, 32492, 29079, 18868, 585, 769, 4818, 816, 1043, 10046, 338, 1433, 563, 5649, 8039, 689, 1158, 779, 4102, 2146, 585, 3988, 269, 901, 1837, 6227, 4909, 543, 9664, 281, 3281, 816, 1043, 6363, 1663, 573, 18868, 1433, 269, 3367, 8039, 689, 1158, 779, 4102, 2146, 585, 3988, 270, 276, 269, 0, 3008, 17692, 10396, 590, 5456, 2793, 299, 267, 4436, 15963, 8118, 909, 607, 519, 14742, 8876, 519, 476, 11025, 526, 5794, 13871, 10406, 1500, 741, 1935, 547, 519, 6749, 10851, 269, 18391, 1524, 267, 23394, 611, 1512, 4937, 6276, 631, 269, 717, 822, 514, 4718, 2666, 3595, 27513, 1154, 689, 513, 1899, 540, 512, 29168, 17704, 1782, 519, 8575, 553, 8862, 320, 531, 22575, 269, 769, 3574, 539, 2127, 267, 10546, 9075, 602, 1185, 7283, 14980, 543, 6456, 2394, 1631, 849, 3459, 547, 3595, 269, 654, 10248, 267, 717, 822, 514, 9289, 952, 1010, 6370, 1544, 585, 519, 476, 11025, 526, 267, 799, 1185, 1044, 1759, 593, 513, 7229, 1981, 267, 1522, 13653, 563, 2419, 20149, 609, 8066, 519, 1647, 5823, 540, 519, 10369, 8566, 31678, 23725, 528, 267, 519, 6498, 1185, 7839, 6859, 267, 4881, 4557, 5195, 5045, 3562, 5991, 2180, 543, 12964, 5195, 7178, 3562, 3887, 770, 269, 14755, 519, 6749, 540, 835, 1612, 520, 549, 641, 2754, 2282, 519, 7262, 1439, 540, 519, 3400, 557, 8115, 267, 799, 729, 547, 581, 25868, 676, 513, 9983, 19420, 632, 1292, 14213, 267, 717, 822, 514, 1185, 6074, 1614, 6749, 2127, 543, 835, 1804, 13941, 7997, 269, 634, 8545, 1131, 13918, 1010, 15823, 654, 23147, 1350, 11107, 543, 519, 13977, 32732, 670, 832, 553, 543, 654, 659, 657, 540, 4937, 19291, 645, 20621, 779, 3703, 594, 5794, 13871, 17620, 22071, 269, 1809, 717, 822, 514, 1185, 10288, 1152, 835, 6749, 7997, 267, 5087, 540, 3683, 553, 1088, 339, 267, 547, 581, 6825, 676, 2619, 22772, 619, 269, 634, 824, 1614, 267, 14084, 2673, 547, 519, 23108, 525, 2041, 2131, 25170, 543, 519, 4436, 8473, 267, 941, 22393, 2451, 796, 5658, 539, 269, 717, 822, 514, 779, 1612, 520, 549, 641, 619, 543, 1350, 11107, 1131, 2244, 1510, 7114, 581, 659, 976, 610, 8673, 538, 1931, 547, 25657, 519, 10546, 607, 547, 741, 5905, 6658, 2127, 269, 2368, 24369, 3764, 1310, 519, 476, 11025, 526, 729, 1524, 267, 645, 20621, 779, 17620, 22071, 1131, 2244, 563, 10303, 717, 822, 514, 779, 3119, 6161, 729, 602, 10546, 13688, 1522, 10393, 10836, 689, 519, 25415, 1873, 12245, 2059, 519, 4436, 8473, 7532, 540, 1010, 4102, 1350, 3187, 543, 6749, 7997, 267, 646, 1185, 2016, 1079, 8966, 9753, 269, 1677, 2149, 1312, 1010, 6498, 543, 645, 20621, 779, 22071, 267, 646, 1185, 25009, 1612, 520, 549, 641, 619, 547, 7914, 2673, 547, 1022, 1884, 807, 7878, 9075, 789, 941, 2111, 547, 5544, 689, 519, 2011, 543, 11904, 873, 24631, 607, 3533, 607, 2009, 269, 1656, 267, 585, 519, 1101, 942, 538, 23197, 1686, 267, 646, 729, 1612, 778, 5024, 538, 513, 2347, 10627, 30119, 540, 2361, 25044, 267, 21177, 621, 5196, 519, 1804, 7997, 2047, 6849, 519, 4104, 543, 5111, 835, 543, 835, 28451, 5195, 689, 519, 4436, 8473, 3294, 269, 3767, 267, 3168, 693, 519, 7920, 1884, 807, 7878, 3595, 543, 3206, 540, 519, 7872, 540, 10546, 13688, 538, 519, 25415, 1873, 12245, 267, 717, 822, 514, 6785, 602, 1247, 646, 1185, 9709, 585, 5176, 782, 22638, 885, 267, 519, 2367, 540, 519, 476, 11025, 526, 5185, 513, 9157, 4305, 563, 294, 822, 514, 779, 11870, 22929, 18884, 1185, 2760, 16618, 519, 26718, 540, 741, 1378, 538, 6008, 269, 631, 27056, 27878, 6921, 1047, 269, 667, 549, 5529, 676, 8009, 593, 602, 8498, 267, 2367, 1185, 1044, 3684, 3766, 684, 2740, 676, 519, 16586, 607, 789, 3357, 1524, 282, 1082, 941, 7166, 607, 789, 8288, 27303, 538, 741, 1612, 778, 2373, 267, 689, 15146, 3515, 543, 4054, 1472, 519, 8498, 4009, 269, 3502, 2394, 6008, 269, 631, 27056, 27878, 6921, 1047, 729, 6368, 17956, 676, 31924, 29962, 5484, 966, 663, 969, 334, 677, 941, 519, 4666, 7708, 641, 619, 2759, 1524, 543, 12617, 269, 3767, 267, 607, 519, 476, 11025, 526, 5423, 547, 7914, 936, 26652, 267, 930, 2367, 1572, 856, 547, 7708, 641, 619, 1869, 554, 10541, 909, 3297, 873, 281, 968, 8855, 6008, 269, 631, 699, 27878, 6921, 1047, 1848, 4014, 621, 729, 513, 19408, 5650, 267, 1082, 7708, 641, 619, 29860, 609, 741, 15963, 1025, 5074, 563, 290, 2194, 664, 645, 686, 663, 2142, 7596, 514, 267, 4947, 1524, 936, 1010, 6749, 7997, 2282, 519, 23108, 525, 2041, 2131, 23374, 267, 4718, 602, 646, 729, 27312, 2047, 936, 513, 4436, 1884, 807, 7878, 900, 10293, 609, 15963, 17935, 693, 1864, 269, 2142, 7596, 514, 3459, 20590, 609, 1010, 2051, 339, 1547, 3393, 269, 968, 306, 19488, 594, 7691, 2223, 2142, 7596, 514, 1121, 20047, 267, 968, 6011, 13777, 850, 621, 729, 267, 17935, 1250, 2370, 890, 1662, 2393, 518, 1247, 14251, 908, 538, 519, 2011, 1657, 1804, 23343, 9200, 15963, 1848, 8092, 532, 2673, 547, 519, 1166, 752, 3135, 267, 2142, 7596, 514, 3576, 519, 3003, 12284, 26956, 269, 1261, 14659, 519, 16586, 968, 26200, 865, 1376, 1194, 789, 7948, 1406, 3595, 513, 2582, 8929, 3034, 5575, 31924, 6276, 808, 269, 595, 1195, 548, 2219, 646, 729, 16144, 585, 513, 13941, 593, 513, 4436, 17895, 6413, 269, 22582, 267, 10546, 10136, 23953, 856, 540, 519, 17895, 543, 3459, 4881, 585, 476, 736, 6515, 269, 1884, 807, 7878, 15963, 1472, 519, 15943, 269, 1261, 267, 1932, 267, 5249, 1010, 1547, 3393, 689, 922, 2868, 3122, 855, 1010, 1612, 778, 1393, 3459, 547, 14251, 622, 543, 595, 1195, 548, 1743, 26661, 2476, 689, 519, 17895, 269, 2290, 540, 519, 16586, 3323, 547, 2196, 538, 595, 1195, 548, 779, 4287, 269, 968, 296, 7948, 1406, 1205, 1055, 513, 8929, 693, 519, 26689, 583, 2223, 595, 1195, 548, 31061, 269, 968, 3080, 2034, 594, 8910, 581, 15738, 519, 16537, 565, 693, 519, 2666, 282, 519, 1985, 267, 594, 8910, 581, 17935, 693, 519, 6607, 269, 594, 1705, 723, 2614, 2631, 2451, 547, 2322, 519, 2051, 339, 1394, 883, 519, 2868, 3122, 865, 594, 9327, 1406, 6749, 621, 610, 9496, 8885, 950, 594, 5734, 1848, 2201, 519, 2666, 267, 1256, 1354, 646, 6836, 547, 1205, 856, 540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1692, 2052, 1284, 5269, 5678, 4804, 13229, 543, 12655, 31072, 519, 15858, 8794, 8682, 14092, 947, 290, 17920, 609, 7922, 690, 3101, 888, 1607, 1957, 27180, 875, 543, 547, 1018, 6708, 6267, 8415, 519, 2780, 19443, 1893, 1565, 630, 290, 17920, 264, 1062, 3544, 519, 4928, 269, 589, 5910, 652, 543, 2022, 23150, 1374, 729, 5645, 856, 543, 519, 1449, 8464, 10442, 6267, 685, 2296, 15334, 941, 29429, 585, 519, 11050, 2079, 269, 10801, 519, 3670, 18881, 1576, 267, 519, 5171, 941, 2016, 1614, 2010, 540, 7084, 1169, 3018, 281, 12143, 630, 272, 264, 547, 2347, 25471, 4247, 267, 12143, 630, 273, 264, 547, 2347, 18593, 4247, 267, 543, 12143, 630, 274, 264, 547, 1867, 519, 18593, 4247, 6192, 543, 547, 2022, 930, 8292, 7282, 741, 1565, 593, 595, 17920, 269, 4256, 10873, 1369, 12143, 630, 274, 264, 941, 9916, 538, 2474, 540, 5042, 1184, 540, 1565, 269, 1280, 12143, 630, 274, 1070, 972, 941, 1079, 2175, 281, 585, 16448, 630, 320, 264, 1053, 1185, 547, 6494, 5359, 543, 8292, 547, 519, 14357, 3842, 552, 17733, 14350, 267, 543, 585, 16448, 630, 321, 264, 1053, 11540, 873, 593, 519, 5816, 9250, 585, 519, 5171, 269, 634, 1267, 540, 519, 11050, 2079, 4951, 602, 1312, 1565, 942, 543, 519, 1297, 519, 4247, 2799, 2429, 519, 2866, 1974, 593, 16448, 630, 321, 1070, 4687, 1053, 685, 8292, 593, 519, 5816, 267, 6466, 585, 16448, 630, 320, 1070, 1906, 1053, 6192, 1082, 811, 4247, 593, 595, 17920, 982, 519, 12353, 8078, 2218, 7084, 269, 1703, 941, 849, 930, 3604, 538, 519, 3099, 540, 4247, 6192, 282, 519, 1053, 538, 16448, 630, 321, 264, 8214, 1194, 513, 1454, 3152, 3099, 540, 4247, 267, 543, 1500, 513, 3152, 3099, 540, 8292, 982, 1053, 538, 16448, 630, 320, 1040, 1306, 513, 1267, 540, 2079, 585, 1867, 8292, 267, 8292, 689, 16448, 630, 321, 264, 4951, 519, 3356, 540, 519, 1053, 685, 5042, 5933, 6466, 1034, 540, 519, 8292, 689, 16448, 630, 320, 264, 941, 21603, 267, 1175, 741, 12705, 547, 4247, 269, 634, 2164, 6508, 998, 891, 16198, 2303, 602, 5137, 540, 513, 1565, 2146, 3544, 519, 4928, 1131, 581, 513, 1883, 585, 519, 2500, 543, 4264, 946, 540, 1582, 24713, 344, 1922, 5831, 539, 595, 17920, 2326, 267, 543, 1131, 581, 8476, 676, 519, 6388, 540, 513, 1514, 13033, 3028, 971, 607, 513, 5816, 563, 268, 1703, 616, 4867, 1100, 1201, 10587, 269, 0, 4131, 614, 631, 10270, 281, 918, 454, 288, 30866, 3884, 1405, 513, 30866, 1510, 513, 5569, 269, 8866, 1118, 513, 5569, 676, 5373, 513, 2619, 689, 519, 30866, 547, 519, 10856, 267, 1739, 519, 918, 781, 538, 519, 4484, 28618, 269, 901, 4976, 2337, 3214, 5431, 543, 2012, 3854, 543, 27608, 5022, 269, 8866, 849, 3635, 3206, 1983, 543, 5386, 5179, 1983, 607, 789, 6330, 519, 28618, 563, 12024, 713, 4484, 28618, 286, 25873, 519, 2347, 3126, 1934, 563, 23114, 1242, 3211, 568, 606, 4065, 2593, 1160, 4183, 454, 29771, 547, 4065, 2593, 1160, 547, 1039, 707, 2875, 4408, 267, 1362, 2012, 267, 4266, 267, 543, 811, 547, 707, 3211, 9596, 2859, 0, 2710, 2758, 4030, 593, 912, 7069, 12624, 13201, 31603, 10507, 20652, 26298, 21619, 10818, 1548, 1772, 898, 22549, 454, 18933, 9994, 532, 8373, 281, 634, 6091, 602, 16833, 1472, 519, 24647, 267, 607, 1134, 607, 519, 838, 327, 3307, 619, 630, 18485, 5580, 1299, 2539, 264, 11282, 741, 27373, 547, 3132, 829, 626, 1023, 529, 267, 7551, 4412, 2454, 1426, 689, 519, 1394, 540, 707, 5023, 547, 519, 7181, 267, 1299, 5329, 602, 1426, 689, 25380, 909, 1586, 269, 1703, 616, 513, 2603, 540, 3676, 602, 1860, 519, 24647, 6091, 734, 16341, 5634, 630, 26078, 2421, 525, 20652, 264, 1299, 2101, 630, 3697, 513, 577, 531, 14901, 267, 6288, 8657, 781, 267, 521, 13406, 25866, 320, 1040, 3267, 5649, 811, 454, 2005, 568, 513, 1560, 5160, 602, 814, 519, 2702, 547, 4579, 269, 898, 2110, 839, 543, 12958, 3196, 269, 898, 6001, 525, 543, 7024, 547, 922, 3312, 3259, 269, 4053, 3380, 1847, 10549, 267, 24644, 519, 1560, 267, 1847, 2011, 543, 1426, 998, 519, 8219, 267, 957, 607, 17901, 585, 15485, 267, 15108, 543, 824, 8219, 269, 1358, 1852, 3350, 540, 519, 4064, 269, 1358, 948, 721, 2769, 6000, 676, 4657, 519, 3337, 540, 938, 3267, 5649, 811, 454, 18933, 9994, 262, 326, 2352, 281, 634, 24647, 568, 513, 16757, 8546, 4171, 1599, 621, 568, 547, 1847, 1426, 883, 519, 7181, 269, 1879, 519, 4887, 1281, 711, 1599, 5265, 24948, 666, 581, 2352, 543, 1426, 949, 18417, 1265, 621, 781, 1259, 883, 519, 2842, 335, 6559, 269, 901, 3123, 16846, 633, 23472, 547, 1205, 519, 1426, 610, 5714, 1394, 883, 519, 24647, 269, 1403, 519, 1426, 3085, 1405, 1205, 23498, 689, 519, 2842, 335, 6559, 621, 666, 2014, 8321, 566, 16415, 269, 3267, 5649, 811, 454, 28646, 281, 772, 660, 8972, 513, 577, 531, 14901, 666, 1267, 538, 13250, 540, 5714, 538, 519, 24647, 602, 666, 3623, 1836, 4283, 519, 9641, 1247, 596, 3207, 693, 3781, 269, 18127, 14980, 8321, 566, 666, 2014, 8628, 3441, 547, 519, 9641, 267, 10447, 267, 20443, 16415, 269, 7102, 540, 891, 2175, 666, 5732, 2110, 523, 707, 1272, 952, 711, 5701, 5265, 269, 589, 1804, 8321, 566, 2680, 666, 581, 14686, 269, 3267, 5649, 811, 8450, 476, 275, 811, 4387, 4267, 454, 2710, 596, 723, 547, 723, 7411, 24948, 952, 596, 723, 1965, 23569, 513, 577, 531, 14901, 286, 1548, 616, 782, 519, 2589, 888, 8133, 281, 21926, 531, 14901, 568, 513, 950, 519, 2539, 1965, 23569, 838, 327, 3307, 518, 4887, 18106, 569, 6001, 525, 543, 3085, 1405, 1450, 1426, 610, 5714, 547, 1780, 3362, 269, 21926, 531, 14901, 568, 6353, 676, 7411, 24948, 267, 1036, 4026, 2787, 267, 543, 3006, 9221, 1928, 269, 898, 568, 8995, 609, 1965, 23569, 812, 5852, 610, 2604, 1353, 610, 536, 10740, 15179, 1449, 269, 7066, 730, 609, 546, 7976, 267, 15636, 2135, 13297, 610, 513, 927, 2401, 1250, 30315, 834, 12827, 1154, 540, 519, 4887, 1701, 269, 3267, 5649, 811, 454, 26773, 2243, 281, 4014, 972, 568, 1100, 17386, 10826, 267, 1896, 11257, 723, 1044, 3254, 547, 581, 2500, 910, 546, 7976, 540, 519, 24647, 267, 1978, 6527, 971, 607, 6491, 5766, 22318, 710, 267, 715, 604, 19947, 710, 949, 581, 5363, 543, 6368, 952, 782, 14543, 267, 2523, 1965, 23569, 8920, 725, 267, 6391, 269, 3267, 5649, 811, 8450, 476, 273, 811, 4387, 4267, 454, 300, 582, 1006, 13081, 281, 21926, 531, 14901, 568, 606, 1965, 23569, 2138, 1006, 4524, 269, 898, 568, 8995, 676, 812, 5852, 267, 6029, 513, 3668, 540, 11005, 540, 519, 30218, 24647, 543, 8519, 829, 626, 1023, 529, 269, 12729, 513, 577, 531, 14901, 630, 2865, 1455, 264, 568, 1813, 547, 2530, 540, 7409, 7480, 11409, 538, 519, 30218, 24647, 269, 18520, 513, 577, 531, 14901, 568, 3361, 676, 669, 698, 553, 2068, 269, 834, 335, 12065, 334, 268, 778, 531, 14901, 257, 568, 2938, 609, 11871, 269, 13880, 673, 2126, 3788, 519, 4154, 3044, 269, 3267, 5649, 811, 8450, 476, 272, 811, 4387, 2626, 454, 273, 7399, 281, 10266, 1652, 4887, 838, 11047, 5473, 519, 524, 878, 334, 268, 525, 23569, 838, 327, 3307, 518, 666, 581, 2014, 676, 1164, 17406, 540, 7181, 3679, 267, 865, 1572, 700, 11266, 630, 331, 28640, 334, 14428, 31099, 17406, 264, 610, 3006, 4160, 269, 634, 5377, 1899, 568, 972, 568, 513, 2014, 585, 713, 4887, 838, 11047, 269, 1411, 1590, 1265, 856, 2436, 610, 711, 596, 723, 17406, 610, 568, 713, 513, 23314, 540, 4887, 30759, 1644, 547, 4160, 269, 1452, 616, 1079, 7399, 269, 3267, 5649, 811, 454, 296, 1705, 476, 273, 24647, 1449, 267, 1250, 24948, 834, 16443, 3380, 257, 941, 2731, 1434, 855, 1250, 8350, 729, 2731, 257, 331, 5366, 2668, 2005, 729, 513, 476, 275, 269, 273, 8542, 9309, 1767, 3328, 729, 827, 513, 1321, 267, 6391, 888, 23536, 2406, 711, 2943, 1862, 281, 3680, 3536, 1299, 2623, 602, 8488, 7181, 7962, 3539, 1299, 270, 528, 2417, 6001, 519, 2539, 1965, 23569, 838, 327, 3307, 518, 734, 4944, 5390, 267, 6067, 6470, 1426, 267, 544, 6493, 267, 4568, 267, 10269, 267, 10217, 267, 16603, 2861, 2472, 267, 14185, 3990, 1299, 535, 714, 5414, 10425, 267, 4189, 1354, 21557, 269, 700, 846, 2597, 269, 29175, 622, 2212, 540, 5127, 593, 7161, 269, 8838, 4476, 3679, 3625, 619, 585, 8323, 269, 3143, 7296, 269, 13693, 22542, 4387, 952, 10770, 734, 2381, 574, 958, 12362, 5574, 616, 2139, 269, 3267, 5649, 811, 454, 27745, 3154, 1118, 707, 9221, 10413, 286, 898, 1281, 660, 1745, 899, 621, 781, 538, 519, 24647, 1498, 286, 898, 781, 513, 2370, 811, 547, 519, 2451, 3297, 519, 9221, 5642, 269, 4053, 3380, 6148, 888, 1432, 1281, 513, 812, 2210, 2044, 1449, 2995, 286, 634, 1743, 3081, 1250, 1178, 2738, 517, 949, 991, 547, 723, 1010, 24647, 4887, 2759, 269, 715, 5535, 532, 540, 24647, 1336, 538, 22542, 3126, 563, 19324, 23569, 16242, 281, 2494, 5852, 2636, 585, 519, 6482, 540, 519, 2604, 1369, 519, 24647, 2059, 621, 781, 3003, 3259, 269, 898, 2636, 585, 6268, 540, 519, 1599, 540, 519, 24647, 610, 621, 781, 2702, 547, 4412, 601, 513, 10240, 639, 540, 1426, 689, 519, 943, 28449, 547, 519, 7181, 269, 15316, 3029, 540, 1965, 23569, 21454, 666, 2014, 2042, 609, 24948, 543, 812, 5852, 2636, 585, 8446, 540, 713, 269, 898, 1223, 834, 22364, 538, 270, 22364, 856, 257, 991, 585, 6391, 269, 3267, 5649, 811, 8450, 476, 273, 811, 4387, 4267, 454, 10666, 7466, 513, 3018, 267, 950, 1775, 3548, 3940, 621, 4991, 12758, 827, 3368, 1259, 1524, 1250, 24647, 269, 898, 568, 1360, 11213, 269, 1548, 568, 8345, 286, 594, 2901, 723, 547, 7227, 585, 621, 547, 7444, 1118, 621, 781, 1259, 1524, 267, 607, 1775, 1745, 519, 4887, 27373, 267, 610, 12235, 909, 563, 7312, 2433, 2659, 2589, 616, 7282, 585, 606, 1965, 23569, 7453, 675, 267, 799, 1797, 513, 32560, 540, 707, 24647, 269, 901, 666, 4755, 585, 1100, 2601, 610, 3006, 666, 581, 3361, 676, 1776, 2783, 269, 898, 568, 1360, 1271, 602, 596, 723, 6268, 585, 713, 267, 543, 7654, 606, 1439, 22000, 267, 799, 568, 513, 1449, 1141, 596, 616, 6822, 730, 543, 513, 10629, 5654, 883, 707, 24647, 609, 513, 9165, 267, 538, 1931, 547, 1118, 519, 5868, 269, 3267, 5649, 811, 8450, 476, 272, 811, 4387, 2626, 454, 4692, 1928, 538, 519, 9641, 267, 11563, 610, 24647, 2014, 5219, 1928, 547, 519, 6091, 538, 519, 1394, 540, 519, 8405, 888, 296, 723, 1185, 513, 2603, 540, 4152, 2944, 267, 543, 594, 723, 23925, 17406, 2073, 4617, 8350, 11896, 267, 543, 4617, 24647, 2138, 1006, 269, 595, 11538, 2306, 519, 6091, 10413, 1472, 11896, 269, 2271, 571, 611, 558, 1400, 2604, 2306, 8338, 269, 4208, 888, 11795, 2159, 281, 4208, 729, 519, 4152, 2944, 267, 20443, 15353, 267, 1577, 781, 2161, 269, 3657, 596, 24986, 782, 519, 942, 286, 3657, 596, 2348, 20026, 267, 24817, 9854, 543, 11784, 6285, 286, 2290, 1434, 3075, 602, 952, 1419, 15763, 568, 631, 7398, 1794, 777, 710, 1354, 5127, 269, 898, 2337, 20026, 267, 15353, 543, 7099, 269, 634, 781, 949, 948, 286, 594, 606, 711, 2386, 827, 519, 834, 1998, 557, 257, 855, 1577, 781, 2161, 1141, 707, 7181, 543, 24647, 2743, 3085, 1405, 2673, 1134, 269, 4676, 12999, 568, 513, 1966, 267, 929, 559, 846, 322, 269, 3267, 5649, 811, 8450, 476, 272, 811, 4387, 2626, 454, 1805, 4428, 344, 9224, 2473, 273, 2395, 269, 774, 9130, 7959, 3819, 543, 3352, 337, 21840, 539, 267, 24647, 543, 7181, 4358, 547, 21898, 803, 269, 774, 9130, 6091, 21898, 532, 849, 563, 309, 6400, 281, 16319, 899, 596, 616, 3478, 513, 4411, 609, 782, 1346, 2589, 269, 5269, 2386, 596, 616, 6704, 2614, 12862, 543, 3478, 1964, 269, 2422, 744, 12839, 5061, 607, 2877, 269, 3267, 5649, 811, 454, 288, 577, 531, 14901, 568, 606, 1965, 23569, 2138, 1006, 4524, 269, 898, 568, 8995, 676, 812, 5852, 267, 6029, 513, 3668, 540, 11005, 540, 519, 30218, 24647, 543, 8519, 829, 626, 1023, 529, 269, 12729, 513, 577, 531, 14901, 630, 2865, 1455, 264, 568, 1813, 547, 2530, 540, 7409, 7480, 11409, 538, 519, 30218, 24647, 269, 18520, 513, 577, 531, 14901, 568, 3361, 676, 669, 698, 553, 2068, 269, 834, 335, 12065, 334, 268, 778, 531, 14901, 257, 568, 2938, 609, 11871, 269, 13880, 673 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1284, 849, 6027, 15295, 267, 4081, 267, 3318, 543, 10182, 2188, 269, 4340, 547, 519, 2079, 267, 4648, 262, 27421, 540, 6057, 568, 811, 4299, 676, 2123, 2188, 267, 6466, 741, 8989, 9837, 5673, 811, 593, 32638, 2188, 269, 634, 1292, 21205, 7550, 568, 519, 1826, 540, 4638, 2623, 267, 609, 4648, 1373, 811, 2693, 547, 14353, 543, 1867, 538, 3210, 547, 10728, 4638, 2623, 543, 3348, 665, 1190, 4638, 1702, 269, 28968, 262, 8456, 547, 14920, 3100, 547, 5352, 12886, 267, 607, 1346, 945, 616, 2144, 582, 2684, 11131, 616, 811, 2693, 547, 14353, 6057, 269, 7183, 540, 519, 4638, 5615, 729, 2938, 607, 2963, 540, 6057, 563, 3725, 1170, 532, 267, 4432, 651, 667, 282, 23642, 1731, 267, 962, 6308, 577, 752, 631, 282, 10609, 531, 604, 2946, 267, 6341, 597, 282, 28137, 267, 1546, 4011, 1695, 282, 2549, 1088, 267, 10910, 25352, 454, 1607, 1353, 11567, 519, 1909, 540, 4638, 543, 2168, 6057, 267, 4638, 1582, 1606, 17057, 320, 267, 4638, 8647, 267, 4638, 1702, 267, 2078, 16369, 267, 543, 5626, 11605, 538, 476, 9262, 2021, 20083, 593, 2085, 267, 2078, 4567, 267, 543, 26027, 543, 8655, 547, 476, 274, 2516, 734, 341, 698, 24452, 639, 267, 7988, 6768, 684, 807, 23218, 592, 12534, 22514, 756, 592, 4345, 6794, 630, 309, 309, 306, 1070, 543, 1100, 1928, 269, 2859, 2021, 609, 13112, 24452, 639, 4080, 513, 1686, 540, 6689, 4638, 13779, 267, 543, 2021, 538, 1312, 519, 13112, 24452, 639, 543, 966, 309, 306, 2516, 4080, 2539, 2157, 540, 4638, 8647, 543, 513, 1447, 2318, 4638, 1582, 1606, 17057, 320, 269, 19768, 540, 1489, 585, 12926, 4371, 19165, 7282, 1696, 8344, 31426, 540, 13112, 24452, 639, 543, 519, 2078, 1063, 13112, 24452, 639, 543, 7988, 6768, 684, 807, 616, 5941, 563, 297, 320, 880, 1678, 541, 267, 667, 1149, 327, 282, 1744, 4157, 5055, 267, 12213, 752, 454, 292, 339, 5735, 267, 6771, 543, 4027, 281, 4173, 6647, 2241, 343, 3644, 268, 273, 630, 9391, 309, 268, 273, 264, 568, 513, 3056, 2014, 540, 16770, 10299, 5563, 609, 18596, 19183, 2429, 519, 10715, 540, 7783, 14747, 269, 17497, 1100, 2500, 10074, 610, 605, 29091, 716, 923, 2291, 602, 1683, 2347, 4027, 610, 12046, 689, 519, 3644, 267, 799, 568, 21049, 2429, 519, 1158, 269, 11202, 1108, 13478, 2096, 9154, 26331, 281, 12729, 543, 20443, 5563, 1267, 538, 15087, 543, 6553, 1472, 519, 19058, 1858, 543, 519, 8545, 6589, 585, 5354, 540, 19058, 15601, 8320, 269, 16332, 665, 20234, 668, 2213, 2550, 1519, 19440, 919, 616, 11630, 547, 3606, 11528, 5563, 1519, 27676, 4539, 540, 8401, 1062, 6553, 269, 25731, 5735, 267, 11841, 543, 9860, 281, 2859, 982, 476, 4335, 2929, 1004, 616, 7783, 5001, 543, 1034, 4080, 2665, 4125, 519, 2085, 2516, 1063, 476, 1626, 268, 2412, 1296, 267, 799, 14626, 1938, 609, 606, 2333, 538, 4638, 2534, 1851, 713, 2085, 1895, 269, 2755, 891, 2338, 616, 606, 7447, 267, 519, 4890, 2338, 949, 581, 19765, 13846, 607, 1082, 1004, 616, 28105, 610, 798, 711, 1867, 519, 2589, 269, 9615, 543, 524, 13701, 281, 17497, 11311, 6527, 267, 6140, 7576, 657, 728, 1387, 9233, 267, 1152, 2569, 519, 2589, 3361, 676, 606, 3742, 3968, 267, 855, 798, 711, 9004, 519, 3644, 610, 2569, 26125, 269, 4475, 267, 1100, 10826, 6818, 1996, 19058, 15601, 543, 7783, 2550, 7985, 689, 13350, 9888, 18384, 540, 2068, 2589, 585, 741, 3003, 2729, 269, 17449, 6127, 540, 3968, 281, 634, 2063, 1906, 5756, 723, 6383, 1082, 1007, 8441, 538, 938, 1620, 540, 519, 6127, 602, 5397, 23034, 3968, 269, 634, 10194, 7127, 13364, 971, 607, 562, 24514, 268, 272, 543, 22671, 4932, 723, 1044, 4857, 267, 11118, 25063, 15202, 543, 9245, 3889, 971, 607, 2083, 641, 17377, 723, 1044, 2047, 26582, 538, 10194, 7127, 267, 3984, 5179, 5946, 543, 741, 10194, 14270, 1343, 723, 1044, 3254, 547, 7520, 11503, 573, 3560, 543, 1082, 3984, 543, 23034, 5946, 723, 1044, 4857, 602, 948, 609, 10194, 18643, 543, 31630, 269, 1715, 1620, 814, 7153, 593, 519, 1909, 540, 454, 300, 904, 267, 14986, 631, 282, 853, 584, 332, 267, 22118, 928, 589, 282, 2098, 22015, 267, 27068, 667, 454, 15703, 10074, 585, 16770, 10299, 5563, 630, 306, 2316, 264, 616, 27057, 538, 1646, 543, 519, 22638, 8244, 540, 971, 10074, 568, 4397, 547, 1267, 538, 519, 6604, 540, 513, 1713, 1297, 540, 24675, 727, 2175, 269, 8479, 10708, 616, 16912, 539, 547, 581, 2693, 9072, 585, 891, 10074, 2094, 10708, 262, 1981, 585, 590, 2316, 4679, 607, 789, 2085, 543, 1831, 16770, 3742, 269, 898, 568, 15458, 267, 2705, 267, 547, 1018, 6708, 3237, 786, 3858, 547, 2348, 10708, 4309, 590, 2316, 10074, 269, 769, 11047, 1276, 607, 10343, 568, 519, 5748, 585, 2500, 31331, 3292, 267, 606, 1620, 540, 15366, 5380, 827, 713, 3390, 568, 2838, 547, 1217, 2104, 590, 2316, 6669, 1982, 2994, 269, 901, 1957, 6799, 4681, 689, 513, 12007, 1353, 602, 1031, 538, 3829, 11042, 547, 29360, 8456, 689, 476, 4097, 3237, 827, 16561, 10074, 585, 19058, 15601, 267, 1480, 6375, 32759, 3644, 267, 1480, 13099, 650, 558, 8785, 543, 16891, 27695, 585, 741, 1453, 630, 3042, 476, 279, 268, 1704, 1040, 4578, 941, 6394, 689, 3237, 8744, 741, 1453, 585, 1416, 693, 606, 4683, 16758, 543, 513, 28180, 4357, 5604, 269, 12474, 2079, 540, 519, 6114, 7000, 602, 1034, 3237, 630, 285, 3583, 8472, 9516, 519, 7245, 540, 782, 2185, 540, 519, 590, 2316, 10074, 6069, 269, 14268, 262, 4128, 585, 10343, 3769, 16462, 547, 2149, 741, 1453, 267, 1373, 7255, 827, 1808, 2068, 4162, 267, 543, 3105, 1995, 609, 519, 5563, 269, 14268, 945, 17379, 519, 10074, 1705, 865, 5097, 1317, 789, 9228, 741, 1453, 547, 581, 693, 1970, 1981, 585, 519, 5563, 610, 789, 1185, 1970, 6161, 827, 2934, 540, 519, 3676, 269, 4107, 3237, 2219, 789, 1058, 581, 519, 3375, 2173, 6033, 3823, 1453, 8391, 606, 590, 2316, 6669, 269, 11778, 689, 713, 1353, 786, 581, 1031, 547, 1544, 7766, 13753, 540, 519, 21876, 540, 590, 2316, 6669, 10343, 676, 3237, 563, 289, 2714, 1682, 267, 5975, 974, 700, 282, 8834, 6953, 698, 2940, 267, 700, 10005, 595, 282, 9210, 7322, 267, 18466, 548, 589, 282, 25067, 267, 570, 22781, 681, 589, 282, 32083, 267, 2961, 4471, 661, 282, 23052, 333, 1157, 328, 267, 26826, 717, 454, 6624, 2937, 15000, 540, 6689, 6057, 12404, 741, 6408, 1436, 267, 9319, 23930, 602, 1223, 2697, 10419, 21116, 267, 1439, 519, 6057, 267, 543, 3142, 948, 547, 519, 6408, 269, 1284, 23500, 476, 272, 267, 6858, 280, 2021, 896, 6588, 706, 919, 547, 1174, 23930, 540, 6689, 4638, 267, 2168, 267, 543, 3929, 6057, 267, 543, 267, 585, 519, 1101, 942, 267, 14754, 6469, 5208, 267, 799, 1082, 2015, 547, 581, 14156, 29880, 269, 589, 8101, 12102, 540, 9601, 8959, 547, 2479, 30035, 741, 4638, 6057, 630, 2537, 15992, 2168, 6057, 630, 4097, 15992, 3929, 6057, 630, 736, 15992, 543, 14754, 6469, 5208, 630, 3066, 22103, 15788, 267, 6057, 10391, 2188, 941, 1732, 30661, 540, 23930, 982, 1367, 7400, 4162, 269, 2598, 26918, 540, 4638, 6057, 729, 1644, 547, 7680, 811, 7928, 6057, 630, 2421, 519, 1482, 543, 676, 2789, 10419, 21116, 1070, 1373, 811, 14126, 827, 5945, 543, 811, 13347, 693, 519, 942, 540, 519, 6057, 267, 543, 1582, 2000, 8475, 532, 607, 513, 6408, 540, 6057, 269, 2598, 26918, 540, 2168, 6057, 729, 1644, 547, 7680, 811, 7928, 6057, 630, 2421, 519, 1482, 543, 2789, 10419, 21116, 1070, 1373, 1447, 14156, 2673, 547, 519, 10419, 15249, 267, 1373, 4587, 950, 519, 6057, 8694, 267, 1373, 811, 14126, 543, 13347, 267, 543, 1582, 2000, 8475, 532, 607, 513, 6408, 269, 2598, 26918, 540, 3929, 6057, 729, 2404, 609, 1373, 4587, 950, 519, 6057, 8694, 267, 543, 1373, 811, 14126, 543, 13347, 269, 2598, 26918, 729, 20775, 547, 6408, 15295, 4162, 610, 17872, 6547, 630, 323, 1170, 1539, 894, 5731, 8864, 267, 14810, 5731, 8864, 267, 1065, 4809, 12003, 2511, 267, 543, 10151, 30534, 1070, 4849, 602, 1851, 2168, 543, 3929, 6057, 9601, 267, 1065, 816, 832, 941, 1447, 2693, 547, 30035, 982, 1875, 3146, 12304, 832, 269, 2598, 26918, 540, 26164, 6469, 5208, 729, 711, 3648, 1644, 547, 1022, 2188, 6027, 563, 300, 1195, 8457, 267, 715, 773, 1407, 282, 23683, 267, 20844, 24883, 454, 1607, 1353, 8268, 519, 2078, 1063, 476, 272, 264, 1126, 4638, 6057, 630, 5425, 288, 1070, 15730, 270, 611, 738, 4638, 6057, 630, 288, 3008, 288, 1070, 543, 1312, 630, 5425, 288, 266, 288, 3008, 288, 1070, 543, 476, 273, 264, 519, 4908, 540, 2318, 543, 2942, 4638, 26256, 1431, 2687, 547, 741, 1543, 910, 842, 1493, 267, 30405, 267, 17282, 267, 19169, 267, 543, 791, 5966, 268, 538, 2367, 543, 2021, 269, 1284, 849, 9916, 519, 10335, 540, 519, 4638, 3346, 540, 2043, 945, 1185, 4810, 589, 3008, 288, 269, 1284, 12290, 513, 5053, 3732, 540, 476, 25248, 2367, 543, 476, 18357, 2021, 267, 9907, 1063, 476, 1240, 543, 476, 2004, 1296, 2025, 269, 769, 519, 3732, 267, 476, 30130, 2043, 4080, 2348, 4810, 930, 1826, 540, 4638, 6408, 1436, 630, 341, 1112, 15501, 1895, 1070, 1247, 476, 13136, 2043, 4080, 1100, 6408, 1436, 630, 12061, 8686, 1112, 15501, 1895, 1040, 15788, 267, 4638, 9601, 4080, 513, 2362, 4908, 540, 2318, 4638, 26256, 1431, 3379, 547, 1875, 8686, 1112, 15501, 267, 3226, 950, 789, 1185, 4810, 595, 6347, 266, 288, 3008, 288, 543, 519, 10335, 540, 519, 4638, 3346, 729, 3152, 269, 9093, 543, 2021, 945, 1185, 4810, 6057, 4080, 513, 2362, 4908, 540, 30405, 26256, 1431, 630, 335, 2999, 1547, 4905, 1040, 22503, 9601, 4080, 811, 26256, 1431, 540, 19169, 630, 335, 2999, 1547, 4905, 1070, 6466, 4775, 9601, 4080, 811, 26256, 1431, 540, 17282, 630, 335, 2999, 1547, 4962, 1070, 799, 6920, 3668, 540, 17602, 775, 609, 2757, 4008, 5107, 269, 7053, 267, 1152, 15982, 26256, 1431, 630, 335, 2999, 1547, 9826, 264, 941, 4810, 607, 2942, 676, 5256, 9601, 269, 1284, 1865, 519, 10083, 540, 519, 4681, 585, 9354, 7459, 609, 4638, 6057, 9601, 563, 29734, 264, 476, 273, 269, 29187, 18306, 667, 12442, 476, 274, 269, 29187, 18306, 570, 312, 14154, 6730, 667, 2969, 2464, 2910, 23615, 3633, 476, 1960, 274, 297, 4750, 2376, 476, 275, 269, 570, 3951, 4041, 6730, 590, 18510, 2316, 307, 4041, 476, 276, 269, 674, 26685, 5058, 715, 9331, 289, 8991, 11485, 2188, 585, 16770, 3267, 289, 564, 1127, 6767, 267, 15930, 476, 21172, 8660, 268, 28794, 277, 476, 1556, 269, 24639, 13048, 4041, 16774, 14473, 10691, 2464, 3115, 11781, 539, 689, 281, 11557, 1302, 3690, 4784, 15302, 476, 1960, 274, 20029, 268, 12914, 5292, 269, 736, 3143, 269, 276, 6032, 269, 29848, 268, 273, 476, 280, 476, 279, 476, 1321, 320, 1862, 1428, 269, 715, 9331, 21612, 5508, 623, 8980, 2464, 476, 276, 16770, 10299, 3676, 267, 16917, 328, 11043, 5619, 267, 1981, 12632, 267, 476, 1626, 269, 11553, 21201, 2910, 14701, 4108, 4915, 476, 1704, 269, 22444, 7838, 14510, 14160, 19798, 9281, 2975, 9569, 454, 291, 4428, 1415, 267, 1520, 686, 26413, 282, 7754, 657, 267, 18536, 570, 563, 29020, 281, 1677, 3313, 519, 7145, 540, 1895, 3797, 538, 8156, 16770, 26884, 1453, 547, 2061, 973, 573, 13659, 630, 11357, 8019, 556, 268, 629, 4310, 610, 4742, 705, 22852, 2933, 1040, 10613, 281, 5589, 573, 13659, 3928, 540, 476, 277, 1704, 1453, 941, 3379, 1063, 16770, 26884, 1453, 945, 4607, 1895, 2126, 609, 1346, 4171, 3237, 15189, 2126, 269, 7498, 298, 745, 653, 267, 20913, 282, 8496, 327, 23186, 534, 267, 623, 1248, 9874, 454, 763, 11944, 540, 3818, 1673, 2607, 11259, 16770, 10299, 5563, 630, 306, 30454, 264, 568, 4929, 513, 2126, 6433, 2066, 519, 8608, 269, 2755, 524, 31525, 30950, 514, 15033, 16891, 27695, 568, 835, 540, 519, 1034, 10296, 2152, 267, 14916, 15084, 11259, 932, 31779, 807, 911, 577, 558, 15384, 543, 29901, 21182, 2742, 4630, 17430, 616, 849, 4742, 28125, 269, 20226, 723, 6700, 602, 519, 5821, 540, 1699, 2126, 1036, 6036, 616, 968, 26171, 569, 17149, 892, 543, 723, 1572, 585, 7357, 1007, 5049, 540, 21734, 8069, 269, 2060, 519, 9868, 540, 1896, 1007, 5049, 540, 5061, 5097, 13389, 562, 657, 665, 6706, 5563, 267, 3356, 814, 1044, 3500, 269, 2755, 14453, 3549, 3136, 547, 6338, 1007, 5061, 267, 789, 616, 1759, 593, 8717, 6040, 8906, 269, 2755, 972, 568, 24895, 827, 1018, 13054, 1007, 5049, 540, 11216, 267, 1082, 4966, 2303, 602 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 12729, 1153, 21597, 7515, 281, 1018, 798, 789, 2731, 1611, 2496, 763, 1883, 3942, 1079, 1449, 2164, 616, 3370, 2221, 855, 1018, 798, 789, 2995, 721, 827, 1453, 781, 5759, 286, 2717, 569, 4354, 26385, 267, 609, 707, 948, 267, 9060, 856, 269, 5192, 538, 5905, 2630, 519, 1899, 267, 4757, 707, 5784, 547, 1135, 569, 269, 2017, 26385, 287, 31384, 1014, 16691, 16896, 610, 512, 11548, 7711, 335, 14709, 2017, 26385, 692, 258, 12729, 1153, 21597, 7515, 281, 1018, 798, 789, 2731, 1611, 2496, 763, 1883, 3942, 1079, 1449, 2164, 616, 3370, 2221, 855, 1018, 798, 789, 2995, 721, 827, 1453, 781, 5759, 286, 2717, 569, 4354, 26385, 267, 609, 707, 948, 267, 9060, 856, 269, 5192, 538, 5905, 2630, 519, 1899, 267, 4757, 707, 5784, 547, 1135, 569, 269, 2017, 26385, 287, 31384, 1014, 16691, 16896, 610, 512, 11548, 7711, 335, 14709, 2017, 26385, 692, 763, 2229, 2221, 3370, 1449, 2164, 3144, 676, 476, 7785, 267, 1822, 476, 1556, 4458, 31545, 693, 519, 1439, 540, 3119, 3506, 538, 2296, 713, 4832, 269, 15147, 532, 2542, 267, 1603, 543, 13004, 267, 519, 2164, 616, 1031, 676, 519, 2229, 543, 2199, 8128, 547, 2697, 519, 3506, 18848, 3101, 3297, 543, 676, 519, 3506, 2933, 547, 6430, 1018, 789, 991, 547, 1445, 593, 780, 3719, 1018, 798, 789, 2995, 721, 827, 1453, 781, 5759, 2496, 9336, 1126, 568, 4397, 547, 1205, 513, 834, 24038, 2185, 257, 538, 519, 1883, 3942, 1079, 4255, 693, 519, 1439, 540, 3119, 1153, 269, 769, 2296, 713, 1797, 789, 616, 606, 834, 5562, 257, 5467, 945, 834, 8882, 619, 267, 25221, 267, 3308, 2478, 543, 14509, 1412, 24992, 519, 3515, 2668, 1358, 786, 581, 2111, 547, 2328, 6905, 5220, 543, 946, 862, 553, 14013, 269, 769, 13004, 267, 621, 1797, 1373, 2111, 547, 1039, 267, 10208, 543, 7941, 538, 741, 9843, 267, 917, 519, 8691, 7515, 909, 547, 476, 1015, 343, 1015, 543, 547, 4729, 10974, 593, 513, 3113, 780, 1607, 1032, 476, 10619, 260, 540, 1453, 3893, 513, 1377, 2185, 538, 1312, 2296, 543, 13004, 267, 476, 2641, 260, 3893, 513, 1377, 2947, 1107, 799, 1797, 789, 616, 2324, 3564, 519, 1377, 4397, 585, 606, 476, 1556, 4458, 2025, 269, 589, 1507, 12102, 540, 476, 277, 260, 941, 18848, 3101, 3297, 693, 519, 1377, 4397, 540, 513, 5722, 4458, 2025, 538, 2296, 543, 476, 276, 260, 538, 13004, 269, 2334, 3017, 729, 1256, 811, 6825, 950, 519, 2164, 616, 7745, 1524, 676, 4008, 269, 2290, 538, 4557, 476, 1556, 4458, 2025, 8695, 814, 513, 2542, 2085, 540, 1175, 5722, 780, 296, 729, 5461, 547, 917, 1018, 519, 2078, 568, 1063, 1883, 3942, 1079, 1449, 2164, 693, 476, 1556, 543, 1453, 781, 8458, 540, 3478, 1434, 23722, 338, 693, 519, 1439, 540, 6281, 1153, 780, 1607, 1382, 630, 23486, 264, 3091, 930, 4267, 269, 634, 1739, 7515, 2982, 519, 8167, 540, 1453, 693, 519, 1585, 2157, 538, 519, 4255, 693, 476, 1556, 945, 1287, 4682, 593, 547, 1205, 513, 1434, 23722, 538, 519, 1482, 1641, 269, 898, 568, 1759, 593, 519, 2164, 540, 811, 982, 476, 7785, 267, 1822, 14038, 945, 3576, 23722, 338, 538, 476, 1220, 279, 543, 1141, 789, 941, 2139, 741, 1883, 3942, 1079, 1449, 2164, 607, 1134, 780, 4322, 1397, 602, 476, 2568, 260, 540, 10453, 945, 3893, 513, 1377, 2185, 538, 13004, 4682, 593, 547, 1205, 1657, 513, 595, 693, 23722, 1107, 855, 1152, 476, 276, 260, 6913, 606, 589, 610, 589, 5182, 269, 2368, 476, 4792, 260, 945, 3893, 513, 1377, 2185, 538, 2296, 13604, 3893, 1657, 513, 595, 693, 23722, 543, 1152, 476, 276, 260, 606, 589, 610, 589, 5182, 269, 634, 2257, 1449, 2164, 630, 6518, 723, 1044, 12628, 2094, 713, 1353, 729, 5342, 264, 616, 513, 25013, 13525, 540, 2663, 1967, 269, 8307, 476, 3953, 260, 945, 3893, 513, 1377, 1079, 4682, 593, 547, 1205, 513, 5595, 23722, 609, 513, 3446, 1657, 513, 595, 780, 3719, 519, 2229, 781, 3077, 568, 1631, 585, 782, 1453, 547, 1205, 2947, 1434, 23722, 338, 630, 629, 913, 513, 3446, 595, 264, 1519, 2296, 543, 13004, 269, 901, 3349, 2982, 602, 1247, 476, 6924, 260, 540, 10453, 609, 513, 1377, 2185, 1205, 2947, 610, 811, 23722, 338, 3446, 595, 610, 1657, 267, 1152, 476, 5379, 260, 910, 1447, 982, 3368, 1107, 1205, 2947, 1519, 2296, 543, 13004, 780, 25583, 2185, 949, 581, 519, 834, 1410, 4624, 257, 1377, 585, 476, 1556, 1032, 31545, 267, 855, 1152, 476, 5379, 260, 540, 1453, 538, 713, 1353, 945, 3893, 621, 4682, 593, 547, 1205, 1434, 23722, 338, 1519, 519, 782, 1271, 2296, 543, 13004, 780, 3719, 930, 4966, 3494, 972, 568, 1776, 1966, 281, 602, 1142, 1377, 568, 1932, 3376, 543, 554, 1938, 513, 5458, 8390, 538, 2702, 269, 3962, 1377, 568, 7745, 1524, 693, 1153, 1377, 883, 1016, 3766, 12952, 589, 4211, 267, 1498, 891, 2164, 616, 711, 3370, 25422, 269, 20858, 2349, 2255, 5112, 267, 13653, 540, 519, 2817, 4065, 11565, 543, 5449, 2212, 974, 12329, 267, 979, 1597, 337, 618, 25129, 543, 2986, 23264, 8524, 528, 267, 3081, 602, 519, 3017, 1063, 513, 1126, 945, 568, 28439, 1377, 2185, 589, 543, 1377, 2185, 595, 568, 5458, 269, 1261, 781, 6743, 693, 1239, 585, 1367, 8128, 543, 1336, 602, 476, 4817, 260, 540, 1453, 538, 1346, 8128, 945, 3893, 513, 1377, 2185, 589, 693, 3119, 1153, 4682, 593, 547, 1205, 9344, 1657, 513, 595, 693, 23722, 1107, 3592, 607, 1434, 607, 3478, 513, 1377, 2947, 269, 11531, 1346, 28439, 1377, 2185, 595, 616, 3478, 1454, 2539, 2164, 1107, 5732, 3648, 2630, 519, 3084, 3328, 540, 476, 2568, 260, 2469, 593, 547, 3035, 513, 1434, 23722, 780, 7922, 2255, 5112, 5143, 803, 1384, 2690, 803, 519, 11344, 1883, 568, 513, 2185, 589, 267, 799, 568, 811, 2693, 547, 1071, 3200, 547, 1434, 23722, 338, 269, 1677, 2161, 782, 1453, 1058, 1205, 2185, 568, 9633, 532, 896, 778, 10079, 618, 952, 596, 1616, 782, 1453, 547, 1205, 513, 595, 693, 23722, 269, 594, 6415, 711, 10404, 2358, 3506, 855, 519, 4182, 1058, 12687, 909, 543, 2161, 621, 781, 711, 827, 3356, 855, 26556, 269, 2353, 3610, 1058, 581, 796, 25406, 665, 958, 1445, 338, 539, 593, 3478, 1453, 547, 519, 2185, 589, 1377, 780, 7922, 2255, 5112, 849, 544, 752, 956, 513, 8903, 4661, 1934, 602, 3119, 3506, 1058, 1445, 593, 4180, 602, 1169, 1126, 568, 2542, 693, 606, 3617, 1377, 585, 741, 2085, 267, 607, 519, 1655, 7041, 585, 6281, 11634, 5622, 780, 8448, 338, 616, 521, 1061, 673, 827, 519, 2078, 1063, 2164, 540, 4255, 3262, 936, 1296, 267, 19163, 602, 1453, 1020, 693, 1114, 3928, 780, 23219, 19213, 2494, 8688, 267, 519, 2069, 19784, 543, 2278, 540, 4065, 676, 2338, 267, 835, 540, 519, 1034, 3102, 2835, 827, 519, 1062, 540, 4152, 1453, 267, 13187, 602, 519, 7681, 1063, 1883, 3942, 1079, 543, 23722, 2164, 1058, 711, 581, 936, 2452, 539, 269, 1261, 5143, 803, 1384, 296, 6415, 521, 1061, 673, 827, 12205, 543, 1004, 945, 2322, 513, 2462, 8561, 593, 621, 31552, 621, 781, 1757, 566, 269, 898, 781, 4636, 547, 2303, 602, 513, 4819, 945, 814, 513, 3983, 1554, 593, 519, 1449, 3884, 1405, 2469, 547, 1205, 741, 23722, 780, 291, 2643, 534, 12070, 3554, 267, 900, 518, 7978, 7548, 540, 3872, 4879, 693, 519, 4659, 540, 4065, 267, 5143, 803, 602, 1377, 2185, 338, 616, 2404, 609, 513, 3309, 2039, 540, 23722, 2164, 1384, 1432, 781, 9058, 568, 519, 4763, 269, 634, 1732, 596, 798, 693, 1883, 3942, 1079, 519, 1732, 596, 798, 693, 1883, 3942, 2185, 855, 621, 781, 782, 1869, 547, 1404, 585, 269, 1411, 5000, 3214, 543, 2161, 281, 4986, 596, 666, 798, 2242, 1141, 596, 616, 1631, 267, 855, 3388, 596, 798, 786, 1631, 1689, 1141, 596, 666, 581, 780, 2252, 596, 616, 3168, 693, 513, 476, 1911, 332, 838, 11781, 519, 835, 945, 568, 6619, 568, 2469, 547, 3094, 282, 3214, 945, 1265, 1565, 519, 1641, 4443, 693, 476, 1556, 786, 1205, 547, 519, 23722, 811, 3362, 269, 1809, 1004, 1413, 693, 606, 7681, 543, 1294, 513, 1757, 566, 269, 898, 781, 711, 3551, 780, 1432, 798, 596, 1589, 286, 5192, 538, 5905, 2630, 519, 1899, 267, 4757, 803, 693, 1135, 569, 269, 2017, 26385, 287, 31384, 1014, 16691, 16896, 610, 512, 11548, 7711, 335, 14709, 2017, 26385, 780, 12749, 923, 0, 763, 31643, 3041, 7690, 568, 6462, 676, 23190, 689, 3755, 540, 519, 31643, 3041, 543, 676, 513, 9886, 689, 519, 3244, 976, 7690, 780, 670, 6493, 630, 294, 22901, 902, 689, 634, 2201, 6441, 710, 15610, 540, 6715, 518, 14938, 1878, 26695, 589, 21172, 279, 2764, 7089, 540, 476, 278, 1532, 1737, 8405, 331, 2167, 13042, 609, 2338, 910, 333, 907, 333, 3850, 30729, 267, 609, 2040, 4642, 269, 476, 272, 454, 476, 3953, 267, 476, 2568, 280, 267, 476, 275, 4375, 271, 267, 476, 3422, 6872, 267, 476, 4792, 272, 4097, 267, 476, 10082, 6021, 278, 267, 476, 275, 1704, 14225, 267, 476, 6434, 274, 30156, 267, 476, 15094, 6187, 273, 279, 267, 476, 27123, 6321, 274, 274, 267, 476, 276, 6078, 271, 4391, 279, 267, 476, 8660, 273, 10441, 280, 267, 476, 15221, 276, 4343, 10619, 267, 476, 24241, 26326, 4962, 267, 476, 27844, 14065, 3607, 267, 476, 5325, 272, 6858, 274, 11152, 267, 476, 6858, 272, 23283, 10019, 267, 476, 280, 3607, 280, 5655, 10463, 267, 476, 12553, 4366, 280, 4366, 277, 267, 476, 15876, 4510, 278, 13970, 267, 476, 15996, 279, 1321, 4962, 275, 267, 476, 24062, 6942, 3607, 280, 267, 476, 4375, 274, 28794, 6642, 267, 476, 31746, 4097, 280, 22001, 267, 476, 5038, 273, 32542, 279, 6924, 267, 476, 3199, 280, 3192, 15433, 630, 4289, 282, 3113, 282, 1201, 338, 282, 6432, 282, 1686, 282, 1257, 282, 4835, 3898, 994, 5508, 12396, 4953, 476, 272, 267, 272, 25265, 19006, 18007, 476, 278, 540, 589, 21172, 279, 1839, 269, 700, 2562, 16775, 681, 269, 670, 269, 10434, 514, 267, 7305, 540, 562, 267, 513, 3799, 264, 585, 562, 815, 476, 272, 907, 13975, 11123, 300, 308, 6369, 2506, 2869, 673, 281, 513, 3799, 264, 815, 476, 275, 265, 320, 3799, 268, 272, 264, 910, 476, 274, 265, 320, 3799, 268, 273, 264, 910, 476, 279, 265, 320, 3799, 268, 274, 264, 1341, 476, 1691, 265, 320, 3799, 268, 275, 264, 910, 476, 1691, 265, 320, 3799, 268, 277, 264, 1341, 476, 279, 265, 320, 3799, 268, 278, 264, 1341, 476, 274, 265, 320, 3799, 268, 279, 264, 910, 476, 275, 265, 320, 3799, 268, 280, 264, 1341, 513, 3799, 268, 1015, 1040, 2506, 2869, 673, 575, 8807, 12727, 1535, 16732, 3953, 1341, 476, 4366, 272, 20080, 1341, 476, 13078, 271, 20080, 317, 273, 1341, 476, 275, 1240, 271, 20080, 317, 274, 1341, 476, 25148, 271, 20080, 317, 275, 1341, 476, 18891, 277, 20080, 317, 276, 1341, 476, 5379, 273, 20080, 317, 277, 1341, 476, 2764, 20080, 317, 278, 910, 476, 275, 20080, 317, 279, 1341, 1535, 317, 280, 264, 1315, 16733, 272, 910, 1535, 8203, 278, 16732, 272, 1341, 1535, 8203, 274, 1040, 910, 2051, 514, 31661, 518, 267, 7325, 476, 5881, 476, 1001, 279, 12327, 21283, 4041, 2368, 3435, 585, 562, 284, 274, 281, 5231, 1109, 268, 274, 1109, 1109, 268, 274, 1109, 1109, 268, 273, 1109, 1109, 268, 274, 1109, 1109, 268, 274, 1109, 1109, 268, 274, 1109, 1109, 268, 274, 1109, 1109, 268, 274, 1109, 1109, 268, 274, 1109, 1109, 268, 274, 1109, 1109, 268, 274, 1109, 1109, 268, 273, 1109, 1109, 268, 274, 1109, 1109, 268, 272, 1109, 1109, 268, 274, 1109, 1109, 268, 273, 476, 1741, 1109, 272, 1109, 1109, 268, 272, 1109, 1109, 268, 273, 1109, 1109, 268, 272, 1741, 1109, 273, 1109, 1109, 268, 273, 1741, 1109, 272, 1109, 1109, 268, 272, 1109, 1109, 268, 273, 1109, 1109, 268, 273, 1741, 1109, 274, 1109, 1109, 268, 273, 1741, 1109, 273, 1109, 1109, 268, 272, 1109, 1109, 268, 272, 1109, 1109, 268, 272, 5231, 1109, 268, 272, 1741, 1109, 274, 1741, 1109, 271, 1109, 1109, 268, 273, 1741, 1109, 271, 1741, 1109, 273, 1109, 1109, 268, 272, 1741, 1109, 272, 1741, 1109, 272, 1109, 1109, 268, 272, 1741, 1109, 271, 1109, 1109, 268, 272, 1109, 1109, 268, 273, 1741, 1109, 271, 1109, 1109, 268, 272, 1741, 1109, 272, 5231, 1109, 268, 272, 1741, 1109, 272, 1741, 1109, 272, 1109, 1109, 268, 272, 1741, 1109, 272, 1741 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5198, 568, 476, 1321, 2439, 763, 1101, 543, 2034, 1747, 666, 581, 4465, 538, 476, 15171, 2081, 269, 2353, 519, 9640, 666, 9096, 519, 5198, 538, 476, 1321, 256, 2081, 780, 338, 664, 756, 1923, 5441, 11819, 1923, 630, 25583, 476, 272, 264, 552, 8253, 518, 692, 16829, 593, 692, 299, 1115, 27539, 602, 972, 568, 513, 16771, 269, 769, 602, 2013, 519, 7399, 616, 281, 7042, 272, 269, 3026, 1188, 543, 3026, 1188, 692, 273, 269, 12160, 656, 476, 272, 910, 3689, 543, 12160, 656, 476, 273, 5822, 3092, 780, 8512, 630, 321, 264, 609, 2789, 9640, 630, 9767, 1810, 1405, 14574, 513, 1297, 264, 519, 1657, 9183, 786, 4019, 543, 972, 949, 581, 513, 2789, 9183, 476, 272, 269, 585, 519, 1101, 267, 2034, 267, 3791, 543, 7766, 1747, 269, 0, 258, 15580, 267, 5384, 267, 20028, 10789, 10819, 692, 16665, 11762, 912, 5415, 16497, 585, 10789, 692, 13043, 6096, 692, 309, 23450, 267, 3211, 267, 3435, 267, 543, 2238, 547, 948, 10789, 1053, 1451, 827, 2557, 267, 942, 267, 3845, 2262, 2042, 780, 31948, 6874, 830, 5937, 2700, 9046, 476, 275, 454, 306, 11510, 713, 2262, 1966, 1210, 7833, 5163, 678, 339, 815, 546, 4542, 563, 7078, 281, 29871, 543, 21861, 616, 693, 6587, 7475, 540, 513, 476, 1240, 28902, 2197, 4155, 609, 4566, 547, 4734, 693, 519, 1482, 942, 4881, 4724, 1142, 824, 547, 2743, 269, 29871, 8255, 476, 278, 18890, 1247, 21861, 8255, 476, 276, 18890, 269, 1215, 1279, 1310, 789, 2253, 786, 789, 2743, 888, 31948, 6874, 830, 5937, 2700, 9046, 476, 276, 454, 7078, 281, 589, 1286, 543, 513, 1668, 1305, 856, 693, 476, 273, 10681, 689, 519, 1482, 5544, 267, 18188, 538, 519, 1482, 4287, 269, 634, 3328, 3432, 540, 519, 1286, 568, 7466, 519, 3328, 3432, 540, 519, 1668, 269, 2991, 476, 273, 3108, 267, 519, 1286, 568, 476, 6924, 5195, 6619, 540, 519, 1668, 269, 4855, 519, 2557, 540, 519, 1668, 543, 519, 1286, 780, 31948, 6874, 830, 5937, 2700, 9046, 476, 277, 454, 7078, 281, 589, 7077, 24363, 689, 835, 2749, 547, 1776, 2749, 19011, 1645, 476, 5611, 18890, 269, 13536, 267, 621, 24363, 1394, 547, 519, 1101, 2749, 19011, 1645, 476, 1911, 18890, 269, 634, 2698, 10760, 942, 729, 476, 276, 3108, 269, 1215, 2484, 6306, 616, 519, 4872, 888, 1692, 547, 4194, 10789, 6478, 9046, 538, 20028, 267, 15580, 267, 543, 5384, 1210, 21408, 18267, 888, 1607, 3381, 2982, 606, 1383, 827, 4466, 519, 3432, 540, 519, 1699, 540, 6908, 563, 7078, 281, 634, 3432, 540, 513, 10935, 538, 1869, 1216, 568, 476, 1015, 18890, 269, 898, 12599, 476, 2190, 5195, 25318, 543, 476, 2190, 5195, 19654, 538, 476, 276, 3108, 269, 1548, 568, 519, 3432, 540, 519, 1699, 2496, 2791, 666, 946, 519, 4569, 3118, 11097, 1326, 2630, 547, 2259, 10789, 610, 824, 2979, 3584, 269, 8347, 519, 2016, 1806, 267, 610, 1826, 538, 707, 1378, 1966, 269, 3973, 4945, 834, 12585, 257, 547, 2638, 707, 2626, 269, 0, 2791, 616, 593, 2985, 476, 272, 1993, 476, 278, 692, 258, 7170, 540, 7689, 281, 4635, 519, 9498, 547, 4194, 692, 1012, 1949, 540, 4834, 609, 14290, 692, 3528, 1384, 12663, 26186, 603, 692, 1015, 628, 270, 1556, 628, 692, 20428, 1384, 31580, 4083, 692, 15307, 13846, 3259, 1384, 32098, 454, 24092, 4433, 264, 1948, 454, 288, 2862, 269, 278, 269, 274, 692, 1012, 25960, 2495, 267, 10626, 267, 543, 2601, 629, 30276, 540, 4681, 538, 513, 3099, 540, 692, 338, 15856, 725, 267, 1519, 1346, 5645, 856, 676, 2029, 780, 8780, 292, 9906, 454, 24092, 4433, 264, 1948, 454, 275, 6983, 692, 1012, 594, 4306, 292, 9906, 9208, 4433, 264, 654, 1800, 692, 8624, 937, 543, 5659, 1239, 547, 2697, 3435, 543, 5924, 1118, 5483, 3664, 692, 11917, 16633, 454, 8196, 13450, 602, 616, 28507, 543, 22905, 269, 3503, 607, 1082, 607, 616, 3617, 630, 323, 3996, 660, 723, 547, 581, 476, 274, 994, 272, 692, 1012, 634, 2875, 786, 946, 6740, 14290, 547, 1265, 11201, 14290, 692, 763, 2875, 786, 4194, 476, 1321, 2042, 609, 513, 1062, 540, 4834, 543, 1265, 519, 2418, 602, 960, 585, 782, 454, 3225, 725, 692, 7093, 3146, 638, 15363, 454, 32474, 692, 10743, 786, 2907, 917, 875, 547, 4194, 513, 1062, 540, 4834, 267, 1018, 513, 5119, 568, 2676, 6343, 606, 11201, 5119, 543, 519, 24572, 540, 513, 5119, 568, 563, 307, 8962, 1299, 4675, 15533, 10261, 539, 692, 25542, 454, 7838, 11862, 692, 10674, 2517, 4178, 6155, 27186, 2593, 270, 6011, 3562, 270, 20880, 270, 6011, 3562, 1606, 9876, 8584, 1606, 2448, 6361, 25668, 725, 6823, 7308, 2389, 328, 10019, 680, 340, 11258, 454, 10674, 2517, 4178, 269, 4118, 8584, 1749, 2593, 11305, 22080, 9706, 4206, 318, 1613, 518, 318, 1321, 6983, 22080, 888, 272, 261, 343, 284, 9262, 261, 344, 284, 1428, 692, 270, 9795, 11258, 454, 10674, 2517, 22396, 764, 12975, 11721, 659, 8372, 30763, 334, 648, 270, 2316, 10695, 30467, 23330, 21867, 454, 25413, 2264, 538, 519, 30263, 24275, 9498, 692, 25413, 2264, 454, 3682, 31810, 692, 17582, 18694, 476, 272, 692, 19530, 539, 454, 29605, 454, 8448, 1384, 23458, 454, 1817, 714, 7267, 5119, 454, 2254, 566, 454, 30467, 20895, 692, 1805, 648, 692, 14240, 454, 1607, 568, 875, 594, 786, 4766, 454, 1399, 4771, 513, 5119, 883, 513, 454, 20412, 1807, 952, 972, 568, 711, 513, 454, 26078, 564, 5119, 7291, 563, 288, 3059, 6445, 538, 519, 10145, 5119, 454, 16341, 26732, 723, 602, 454, 24708, 621, 1454, 5488, 547, 6445, 538, 454, 20412, 1807, 585, 2663, 946, 780, 1012, 1215, 786, 596, 4217, 1053, 538, 519, 692, 263, 18034, 5059, 593, 661, 17247, 543, 824, 3309, 454, 29324, 25145, 296, 993, 1210, 891, 2474, 547, 4766, 1114, 5686, 454, 1993, 3403, 855, 594, 1131, 581, 3257, 1806, 593, 519, 454, 4580, 865, 621, 1058, 581, 11617, 24669, 585, 454, 29324, 547, 1294, 875, 621, 2115, 547, 581, 3403, 780, 3682, 1027, 999, 912, 17809, 728, 782, 1344, 2556, 585, 1776, 4116, 547, 21613, 707, 3992, 270, 22780, 780, 1012, 26189, 528, 4967, 630, 30956, 9229, 8846, 2020, 25147, 2055, 12987, 596, 786, 2307, 519, 1053, 692, 1692, 1082, 540, 596, 616, 13110, 540, 1603, 856, 14290, 286, 4653, 649, 616, 2469, 547, 946, 454, 3901, 4631, 547, 4194, 513, 1062, 540, 4834, 3533, 543, 1510, 1603, 4376, 454, 6658, 269, 901, 568, 835, 540, 519, 2053, 1141, 1210, 513, 9498, 568, 1360, 5363, 543, 454, 718, 3298, 721, 547, 4688, 513, 2603, 540, 942, 269, 898, 568, 1271, 602, 596, 5206, 1524, 519, 4238, 454, 29592, 1631, 865, 596, 616, 1031, 547, 875, 14290, 960, 543, 519, 17016, 596, 2503, 547, 454, 4777, 547, 1205, 1053, 3007, 454, 5408, 269, 1403, 596, 723, 513, 1062, 540, 4834, 609, 513, 2603, 540, 4834, 543, 4632, 454, 663, 19334, 741, 1991, 454, 32474, 1354, 3450, 519, 14290, 786, 1450, 596, 547, 4194, 621, 1360, 3533, 780, 263, 10440, 4665, 1807, 2676, 3430, 1549, 1305, 2676, 1263, 4526, 264, 630, 6343, 786, 596, 692, 263, 14112, 476, 276, 268, 1015, 3764, 2020, 1012, 11512, 519, 3992, 543, 692, 25585, 621, 568, 3730, 692, 296, 1131, 2307, 2055, 827, 519, 2078, 1063, 875, 1082, 4834, 596, 454, 17647, 543, 875, 1082, 4632, 596, 666, 4194, 585, 269, 630, 5445, 991, 547, 581, 3160, 2020, 1012, 3487, 476, 273, 281, 6301, 10312, 692, 1993, 7689, 630, 6343, 786, 596, 454, 4777, 547, 4497, 1053, 538, 519, 454, 1692, 786, 789, 960, 609, 519, 454, 331, 4833, 270, 31756, 267, 547, 1451, 519, 454, 20598, 543, 3914, 519, 454, 15953, 1161, 286, 994, 263, 1492, 13557, 540, 519, 3992, 942, 2020, 9795, 692, 9795, 692, 1012, 1215, 547, 1265, 519, 692, 323, 9057, 5364, 692, 2467, 616, 1079, 2081, 547, 3403, 513, 5119, 883, 707, 9498, 269, 2368, 540, 707, 454, 20412, 2209, 786, 2285, 596, 513, 5119, 7291, 602, 786, 1577, 596, 1175, 6445, 538, 1142, 18921, 269, 1403, 454, 20365, 9498, 786, 711, 798, 602, 1287, 596, 991, 547, 3403, 519, 5119, 538, 513, 8880, 454, 24709, 1141, 596, 991, 547, 946, 23049, 1496, 9948, 585, 519, 2898, 5119, 543, 1287, 454, 611, 6463, 23049, 585, 1142, 4737, 269, 9737, 1142, 1297, 596, 991, 547, 946, 513, 454, 1260, 2742, 2073, 692, 2414, 4558, 513, 5119, 538, 707, 9498, 596, 991, 547, 2901, 946, 519, 4558, 1599, 610, 454, 560, 1819, 2394, 596, 936, 20183, 873, 610, 2196, 856, 540, 9075, 269, 3962, 5119, 568, 6719, 454, 2421, 513, 3854, 4484, 11303, 676, 23049, 899, 1496, 288, 6540, 2414, 1265, 606, 11201, 5119, 1175, 2322, 519, 5119, 538, 543, 2322, 621, 547, 519, 910, 272, 1379, 899, 454, 314, 288, 316, 317, 8987, 272, 264, 630, 1607, 1419, 666, 581, 2944, 609, 1175, 835, 7735, 543, 519, 910, 272, 786, 581, 606, 454, 10339, 9426, 1510, 519, 31577, 3090, 610, 519, 24324, 6393, 1012, 1684, 519, 1101, 1079, 692, 2889, 21793, 689, 519, 454, 817, 9892, 1927, 692, 1012, 1215, 798, 649, 4194, 713, 1062, 540, 4834, 2496, 277, 343, 910, 476, 276, 344, 910, 476, 280, 345, 815, 476, 1428, 454, 268, 476, 276, 343, 910, 476, 276, 344, 910, 476, 276, 345, 815, 476, 1789, 454, 268, 476, 273, 343, 1341, 476, 278, 344, 910, 476, 278, 345, 815, 476, 16960, 454, 763, 2656, 652, 1259, 568, 547, 946, 606, 11201, 5119, 269, 3689, 649, 991, 547, 3403, 938, 1079, 454, 3901, 4631, 780, 1012, 1496, 288, 316, 815, 20886, 277, 16427, 276, 16427, 280, 6012, 268, 276, 16427, 276, 16427, 276, 6012, 268, 273, 267, 278, 16427, 278, 14963, 543, 1496, 289, 316, 815, 20886, 1428, 6012, 1789, 6012, 16960, 316, 6540, 5629, 891, 616, 6740, 649, 666, 1826, 538, 519, 5106, 1496, 288, 316, 317, 8987, 272, 12684, 314, 289, 316, 543, 713, 786, 2285, 454, 639, 519, 1496, 311, 316, 5119, 269, 1548, 798, 649, 2503, 519, 3977, 547, 1413, 899, 286, 630, 320, 7299, 5119, 454, 5976, 835, 1297, 538, 1142, 4737, 994, 5978, 2626, 5526, 538, 5119, 1106, 543, 952, 649, 941, 547, 1287, 946, 602, 2626, 607, 513, 454, 9795, 3403, 649, 1131, 991, 547, 1826, 621, 538, 8880, 5119, 1106, 899, 1496, 15631, 276, 6012, 280, 6012, 1015, 316, 4940, 901, 1797, 1535, 815, 910, 276, 267, 586, 815, 476, 280, 267, 543, 1990, 815, 910, 1015, 269, 4208, 616, 789, 538, 602, 1931, 286, 630, 20357, 454, 933, 5206, 938, 4834, 538, 3044, 1106, 865, 519, 4756, 602, 2501, 1101, 568, 835, 454, 9008, 543, 519, 835, 602, 2501, 2063, 4422, 593, 519, 5377, 264, 6271, 1259, 547, 4159, 713, 454, 24987, 568, 538, 1448, 1106, 11196, 276, 267, 280, 16427, 1015, 2020, 1012, 3776, 2034, 2243, 568, 692, 273, 343, 910, 586, 1341, 476, 277, 345, 815, 910, 6812, 454, 14870, 3917, 22271, 284, 271, 454, 278, 343, 910, 476, 278, 344, 1341, 476, 279, 345, 815, 910, 11463, 454, 3383, 1018, 1281, 1496, 288, 316, 3160, 286, 630, 20886, 273, 267, 910, 272, 267, 476, 277, 6012, 268, 272, 16427, 272, 16427, 272, 6012, 278, 16427, 278, 267, 279, 14963, 3738, 1548, 1281, 1496, 289, 316, 3160, 888, 263, 1496, 15631, 6812, 6012, 271, 6012, 268, 11463, 14963, 25589, 4517, 1018, 568, 938, 1496, 311, 316, 5119, 286, 630, 20886, 275, 6012, 277, 6012, 268, 1015, 14963, 3738, 543, 952, 649, 5206, 713, 538, 1448, 1106, 621, 454, 30524, 1413, 899, 630, 275, 267, 277, 16427, 1015, 2020, 1012, 2913, 1053, 798, 519, 1964, 692, 1993, 519, 7084, 1247, 454, 19769, 532, 1472, 543, 454, 3832, 9535, 593, 873, 780, 2791, 616, 1631, 2469, 547, 960, 593, 519, 1964, 540, 891, 2042, 543, 596, 616, 2469, 547, 454, 25740, 4010, 538, 519, 1482, 1259, 269, 3487, 540, 713, 7084, 568, 3478, 1031, 547, 519, 454, 27848, 335, 1157, 344, 1259, 519, 9498, 543, 2780, 949, 1616, 891, 4267, 780, 272, 264, 1496, 15631, 276, 6012, 280, 6012, 268, 1015, 316, 3910, 11196, 276, 267, 280, 16427, 1015, 994, 273, 264, 20886, 275, 6012, 277, 6012, 268, 1015, 316, 3910, 630, 275, 267, 277, 16427, 1015, 2020, 1012, 3487, 476, 274, 281, 1849, 3837, 630, 6343, 692, 15884, 596, 798, 547, 3142, 519, 3992, 454, 1729, 513, 2673, 543, 17412, 519, 454, 28695, 2798, 540, 519, 454, 1652, 517, 286, 2020, 263, 26211, 476, 276, 3764, 2020, 3383, 799, 1259, 1131, 596, 2864 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8080, 547, 519, 8748, 1158, 540, 5904, 256, 4653, 267, 649, 2811, 2469, 547, 4685, 883, 1945, 2731, 3579, 1572, 834, 17569, 720, 9946, 2437, 899, 19038, 267, 586, 636, 267, 543, 1990, 344, 3899, 269, 1452, 948, 721, 4383, 782, 12204, 540, 1187, 8631, 593, 938, 5904, 267, 2523, 950, 621, 2501, 547, 1210, 513, 2027, 2186, 540, 2780, 1062, 1572, 834, 31690, 5060, 1701, 1924, 1577, 781, 1205, 3323, 2439, 5331, 596, 723, 513, 2462, 11442, 4216, 2407, 540, 1114, 9162, 910, 6517, 267, 2962, 5515, 267, 13410, 267, 543, 4604, 3756, 269, 3767, 4952, 952, 596, 1185, 513, 9589, 25961, 945, 6785, 4010, 1141, 1142, 11442, 20705, 543, 875, 547, 1265, 1007, 3283, 8164, 596, 4941, 269, 2334, 1131, 581, 7168, 15813, 267, 1318, 286, 13268, 720, 9946, 616, 1175, 899, 602, 9589, 25961, 855, 585, 707, 2780, 2439, 288, 10189, 9614, 568, 513, 1907, 602, 2337, 10891, 543, 3888, 1114, 4773, 540, 3301, 593, 707, 2780, 1572, 834, 17569, 1137, 1701, 6056, 540, 15004, 899, 1346, 9162, 538, 707, 11442, 4216, 282, 789, 798, 1114, 1919, 543, 2097, 538, 1585, 5546, 543, 7306, 269, 2368, 1806, 540, 891, 15004, 1223, 581, 3381, 3756, 267, 1148, 2645, 267, 610, 3872, 8924, 269, 3807, 899, 875, 707, 9589, 25961, 6487, 1141, 1169, 11442, 4422, 267, 513, 10189, 9614, 8952, 3950, 540, 782, 891, 3301, 11353, 543, 25466, 865, 3388, 8255, 12347, 780, 2467, 616, 1082, 2010, 540, 10189, 9946, 856, 972, 267, 855, 2221, 649, 3513, 1445, 593, 1614, 2442, 3283, 1031, 538, 12380, 281, 19038, 267, 586, 636, 267, 543, 1990, 344, 3899, 269, 3962, 835, 814, 922, 1378, 2189, 2012, 1317, 789, 941, 1500, 676, 1114, 1004, 945, 4941, 741, 10189, 9946, 547, 723, 930, 7209, 269, 898, 781, 1175, 899, 20803, 707, 5172, 22788, 11276, 7703, 610, 15705, 2962, 4137, 2439, 2194, 568, 899, 519, 28292, 543, 5363, 13930, 602, 14560, 1818, 2386, 3388, 568, 909, 3562, 15082, 543, 2324, 1390, 269, 1879, 596, 2307, 19038, 547, 9337, 707, 3301, 267, 621, 11974, 2228, 547, 1294, 952, 4376, 2115, 21338, 610, 5355, 269, 3973, 267, 621, 28085, 543, 3888, 338, 1346, 10311, 8850, 1107, 1175, 899, 2348, 707, 9162, 19345, 543, 6896, 1247, 596, 1404, 2439, 344, 636, 6763, 585, 834, 312, 3641, 27594, 5455, 323, 831, 3525, 1881, 257, 543, 6411, 811, 899, 513, 8797, 2025, 530, 19123, 945, 1121, 20047, 1018, 596, 8704, 1354, 543, 2306, 10372, 1759, 593, 707, 2250, 5079, 269, 962, 636, 8952, 513, 1592, 540, 5227, 15004, 602, 960, 1134, 1927, 267, 4543, 596, 3605, 1007, 543, 4277, 3301, 3362, 269, 2060, 586, 636, 267, 4466, 513, 6456, 17576, 1851, 519, 5215, 540, 2139, 15004, 3587, 606, 7045, 2439, 5414, 3899, 267, 3957, 1310, 519, 4436, 2262, 585, 1412, 339, 933, 14162, 619, 10086, 568, 5730, 543, 3608, 693, 7829, 1256, 519, 10545, 3877, 269, 2098, 344, 3899, 5849, 602, 1950, 4238, 5473, 1896, 15004, 979, 1055, 1510, 513, 554, 3558, 269, 5994, 2679, 513, 7372, 6181, 334, 14500, 267, 11093, 1142, 15839, 9985, 538, 1747, 269, 2334, 781, 1018, 1990, 344, 3899, 1281, 950, 596, 1616, 547, 3888, 610, 4894, 6266, 540, 3301, 693, 2899, 269, 3143, 991, 547, 5855, 827, 7508, 4773, 610, 8840, 1945, 18417, 2439, 3086, 596, 917, 1018, 10189, 9946, 616, 543, 1946, 789, 2811, 1898, 538, 12180, 519, 8748, 1158, 3330, 707, 2780, 269, 8921, 942, 596, 2263, 12380, 267, 3314, 707, 1007, 2828, 281, 19038, 267, 586, 636, 267, 543, 1990, 344, 3899, 269, 8414, 7384, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 23330, 908, 1949, 630, 5308, 264, 616, 519, 1034, 1271, 1826, 540, 3301, 602, 513, 2780, 3593, 25998, 609, 593, 513, 3232, 4493, 269, 1358, 1683, 519, 3593, 8818, 543, 519, 5748, 585, 3156, 267, 3292, 267, 543, 824, 3301, 547, 2196, 593, 519, 3684, 269, 1323, 5665, 1062, 568, 3743, 585, 5883, 513, 2780, 779, 8800, 543, 3301, 2200, 267, 3246, 3755, 609, 606, 8818, 547, 1569, 543, 1852, 873, 269, 21952, 1949, 666, 581, 1336, 593, 3592, 1022, 3926, 609, 513, 16267, 267, 689, 11436, 547, 5904, 547, 1292, 325, 29707, 563, 763, 1686, 540, 5665, 1949, 7389, 1394, 547, 519, 476, 4198, 271, 338, 609, 519, 4367, 540, 16801, 4393, 269, 901, 4847, 3755, 547, 10505, 6009, 547, 513, 2780, 543, 723, 873, 2196, 538, 519, 4282, 1510, 3593, 6304, 269, 901, 729, 4553, 676, 519, 1646, 540, 942, 4687, 1949, 267, 799, 4847, 2789, 3755, 547, 1569, 519, 1482, 2780, 8195, 269, 769, 519, 476, 3192, 271, 338, 543, 476, 2735, 271, 338, 267, 2123, 5904, 4547, 827, 519, 1646, 540, 519, 2582, 268, 12528, 5665, 1949, 267, 971, 607, 9049, 5937, 5308, 267, 519, 11197, 5665, 19523, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 303, 871, 720, 2494, 6162, 630, 324, 3052, 1421, 19038, 267, 586, 636, 267, 1990, 344, 3899, 17983, 607, 851, 540, 834, 28035, 1315, 21952, 7010, 1315, 12380, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 5272, 1032, 1472, 713, 942, 267, 14667, 1131, 1694, 1524, 609, 1200, 2883, 25129, 267, 19626, 267, 547, 1865, 1200, 4566, 585, 16468, 269, 2701, 729, 3533, 16042, 476, 2004, 543, 4941, 547, 2327, 1352, 1185, 2614, 10710, 909, 547, 2661, 20354, 2899, 1352, 2451, 519, 13781, 780, 2026, 789, 2893, 2066, 689, 1142, 824, 538, 19626, 781, 5604, 267, 14667, 7948, 1405, 948, 855, 1745, 16397, 676, 782, 519, 3681, 2139, 547, 1200, 269, 19626, 8068, 1200, 11688, 2787, 543, 10709, 539, 4464, 780, 257, 10387, 1176, 267, 594, 917, 713, 666, 3100, 18447, 2437, 1352, 1767, 9900, 269, 834, 3719, 1577, 803, 2307, 596, 713, 910, 1018, 798, 596, 1616, 707, 16468, 547, 1413, 899, 12482, 10387, 1176, 2219, 585, 513, 4090, 1354, 14775, 269, 834, 296, 1616, 547, 2951, 267, 6108, 811, 942, 609, 1250, 6264, 18244, 267, 543, 6148, 1256, 11654, 930, 12348, 594, 2760, 1185, 942, 585, 950, 594, 729, 2324, 3010, 306, 639, 534, 21330, 269, 834, 17829, 616, 782, 1390, 3853, 269, 1656, 9939, 1176, 267, 972, 616, 1896, 2081, 649, 666, 11694, 707, 3454, 2640, 547, 948, 596, 3035, 873, 269, 5620, 596, 2808, 7700, 547, 707, 16108, 781, 476, 25002, 17347, 264, 1544, 12482, 10387, 1176, 695, 809, 1200, 2212, 269, 834, 2414, 581, 9237, 267, 594, 7012, 1405, 2386, 1141, 547, 1376, 269, 898, 782, 4667, 865, 7294, 3010, 24679, 3085, 1405, 723, 547, 581, 2437, 19626, 15260, 3293, 1200, 269, 834, 3528, 7700, 547, 707, 476, 25002, 17347, 1070, 596, 666, 4688, 2724, 593, 513, 840, 2389, 1314, 4493, 267, 799, 1797, 596, 4465, 1405, 723, 547, 2628, 9204, 593, 1346, 7482, 2394, 596, 11198, 873, 1282, 16468, 269, 9578, 267, 1082, 12820, 786, 6474, 707, 7418, 909, 547, 513, 1978, 6871, 267, 3927, 4758, 596, 1863, 2724, 2509, 707, 16468, 9806, 3010, 10387, 1176, 781, 4064, 11097, 2989, 269, 834, 3725, 958, 286, 2334, 4992, 1932, 1434, 547, 581, 3020, 15323, 306, 639, 534, 669, 3089, 1194, 269, 834, 301, 2100, 267, 621, 781, 519, 1483, 4308, 269, 6271, 4781, 568, 6679, 606, 10572, 4825, 790, 618, 10055, 267, 610, 594, 6938, 269, 2060, 513, 2757, 594, 6938, 267, 596, 666, 1118, 840, 2389, 1314, 7418, 267, 1247, 513, 681, 1054, 594, 6938, 2636, 585, 1310, 2389, 1314, 7418, 269, 5637, 2709, 3407, 3454, 2640, 585, 16468, 9806, 3010, 10387, 1176, 9663, 992, 539, 1200, 536, 992, 269, 834, 5475, 2389, 1314, 7418, 286, 1548, 1281, 602, 1611, 4010, 12482, 257, 15124, 2243, 2437, 19626, 14452, 269, 834, 4415, 513, 681, 1054, 594, 6938, 267, 596, 2628, 9204, 593, 519, 2724, 1631, 267, 2864, 982, 2663, 950, 596, 11198, 621, 269, 901, 1223, 581, 6225, 952, 596, 2503, 547, 581, 538, 513, 2362, 3454, 31455, 1282, 16468, 269, 1809, 1312, 2010, 540, 16843, 2026, 1450, 707, 9541, 547, 1332, 3454, 12413, 518, 1042, 267, 2495, 596, 4465, 1405, 28297, 1022, 9204, 593, 519, 15271, 2394, 596, 11198, 873, 3010, 10387, 1176, 5433, 513, 1350, 20810, 540, 1620, 269, 834, 302, 10798, 267, 602, 2306, 2631, 269, 1548, 827, 1072, 1416, 3790, 286, 8409, 666, 1039, 909, 267, 2523, 607, 649, 1205, 4587, 3010, 306, 639, 534, 20493, 269, 834, 6546, 781, 606, 5140, 1448, 269, 2290, 4640, 596, 1522, 2015, 568, 4259, 909, 513, 2657, 14205, 902, 10055, 267, 610, 670, 6347, 269, 1323, 670, 6347, 13071, 596, 4688, 840, 2389, 1314, 9489, 4481, 585, 11727, 2564, 9276, 269, 3502, 1152, 602, 267, 855, 1022, 30694, 7482, 5066, 936, 1032, 1310, 1032, 267, 3850, 596, 547, 1628, 909, 3833, 513, 9566, 4212, 585, 2104, 1072, 2115, 269, 1656, 2899, 596, 2490, 476, 4792, 267, 596, 666, 11198, 519, 2724, 585, 1875, 2173, 20510, 5301, 1510, 15163, 3010, 10387, 1176, 521, 19042, 538, 8323, 269, 834, 32452, 267, 19626, 267, 9684, 596, 269, 594, 4769, 1405, 8275, 972, 941, 865, 1082, 3681, 2139, 547, 803, 3010, 306, 639, 534, 1989, 514, 2740, 269, 834, 2791, 2811, 10950, 267, 14667, 269, 634, 1883, 568, 4466, 519, 1318, 3575, 540, 5092, 6472, 602, 5447, 609, 707, 2189, 6381, 543, 3853, 269, 1635, 2921, 5413, 540, 891, 2994, 267, 596, 3513, 581, 1134, 593, 707, 1259, 547, 11981, 519, 16468, 596, 17330, 1701, 0, 2237, 513, 8903, 1650, 1644, 547, 519, 1739, 1257, 6256, 912, 18658, 616, 930, 2081, 547, 11694, 3454, 2640, 1247, 4058, 585, 16468, 267, 971, 607, 7418, 547, 513, 476, 25002, 17347, 264, 610, 10572, 4825, 790, 618, 10055, 630, 296, 6938, 25145, 272, 269, 19928, 1393, 547, 707, 16108, 781, 476, 25002, 17347, 264, 610, 2147, 16468, 1544, 269, 901, 2636, 596, 547, 4688, 2724, 593, 513, 840, 2389, 1314, 4493, 267, 543, 596, 1810, 1405, 723, 547, 2628, 9204, 593, 519, 7482, 2394, 596, 11198, 873, 780, 273, 269, 7046, 606, 594, 6938, 269, 1411, 666, 3565, 547, 2901, 513, 2757, 594, 6938, 610, 513, 681, 1054, 594, 6938, 269, 589, 2757, 594, 6938, 2636, 596, 547, 1118, 840, 2389, 1314, 7418, 267, 1247, 513, 681, 1054, 594, 6938, 2636, 596, 547, 1118, 1310, 2389, 1314, 7418, 269, 5637, 2709, 3407, 3454, 2640, 585, 16468, 9806, 780, 274, 269, 6333, 513, 2657, 14205, 902, 10055, 630, 295, 6347, 1040, 901, 1826, 540, 2272, 2636, 596, 547, 4688, 840, 2389, 1314, 2724, 585, 3782, 9276, 1247, 849, 4758, 596, 519, 4781, 547, 1902, 538, 519, 2344, 269, 1411, 666, 11198, 519, 2724, 3454, 6954, 585, 2564, 9276, 267, 543, 1310, 2085, 476, 4792, 267, 596, 666, 11198, 519, 7482, 1510, 15163, 585, 1022, 2601, 780, 275, 269, 6875, 5413, 540, 6952, 5346, 7418, 269, 1403, 596, 2811, 476, 2004, 610, 4587, 267, 596, 666, 3565, 608, 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, 2878, 16215, 476, 275, 281, 18227, 2659, 10610, 13245, 910, 11822, 570, 9581, 543, 9669, 4373, 294, 22901, 902, 267, 1762, 17701, 256, 4653, 649, 2811, 2469, 593, 513, 3460, 998, 707, 6909, 1560, 547, 1451, 827, 9363, 2635, 543, 2178, 269, 1284, 782, 1205, 7210, 3006, 267, 855, 972, 616, 1082, 1919, 596, 666, 798, 1169, 1554, 547, 948, 2061, 602, 689, 8345 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 28477, 3271, 545, 18903, 543, 681, 3770, 338, 692, 8702, 267, 1762, 17701, 256, 4653, 267, 649, 2811, 25054, 593, 513, 13858, 3460, 998, 12563, 3271, 545, 9059, 543, 12738, 1336, 538, 1585, 4529, 1472, 519, 1158, 269, 5620, 596, 2479, 1224, 513, 14810, 1433, 4904, 609, 17134, 656, 906, 267, 28542, 267, 543, 1225, 4513, 286, 2107, 5310, 14478, 513, 7260, 1141, 12325, 543, 5636, 1622, 1031, 9589, 3615, 610, 1651, 656, 725, 286, 1403, 865, 267, 1287, 596, 723, 4810, 513, 19214, 883, 519, 4241, 7706, 540, 12563, 3271, 545, 9059, 256, 2913, 781, 4685, 4514, 883, 1620, 922, 1686, 543, 4644, 780, 1432, 568, 28477, 3271, 545, 18903, 888, 10900, 692, 293, 13083, 3271, 545, 9059, 4016, 547, 4978, 267, 2853, 267, 2984, 267, 543, 5389, 4478, 16750, 4229, 5293, 1524, 998, 5481, 3842, 2262, 540, 5023, 269, 1452, 8941, 1419, 4183, 26704, 7919, 971, 607, 26734, 267, 2112, 331, 4169, 267, 521, 13396, 516, 3464, 267, 4012, 5974, 267, 4023, 625, 267, 1714, 1407, 267, 543, 824, 9058, 7068, 269, 1358, 849, 4125, 12357, 13742, 899, 5657, 1143, 753, 267, 993, 2544, 1206, 267, 1494, 687, 267, 543, 11963, 9248, 5156, 547, 4865, 2027, 7060, 780, 9961, 1686, 267, 1004, 5828, 547, 12563, 3271, 545, 9059, 1282, 4101, 2053, 950, 6671, 2409, 8959, 873, 269, 1280, 3236, 267, 789, 1522, 5077, 513, 8797, 4807, 610, 812, 9952, 538, 7067, 11922, 543, 14319, 267, 15691, 585, 8323, 689, 10108, 610, 7063, 269, 6884, 267, 2043, 8179, 4027, 1996, 9409, 14326, 610, 3983, 9939, 998, 1347, 916, 610, 17134, 5896, 6698, 780, 14300, 540, 28477, 3271, 545, 18903, 15907, 519, 2622, 454, 14343, 21387, 2162, 7111, 1977, 27639, 692, 30943, 4892, 4371, 2178, 5289, 4296, 609, 2470, 543, 5156, 538, 3532, 9988, 9013, 2067, 2609, 899, 3595, 267, 1216, 267, 3618, 267, 543, 2011, 269, 1744, 600, 753, 6039, 607, 18657, 2209, 1063, 891, 6891, 10600, 543, 741, 2950, 269, 1635, 7900, 30060, 23929, 267, 13465, 669, 1218, 267, 543, 1210, 10723, 2371, 267, 695, 600, 753, 6322, 547, 12115, 19210, 267, 2327, 3811, 6968, 338, 267, 3589, 2104, 2621, 267, 610, 8207, 7526, 1369, 11031, 780, 2162, 3864, 654, 3558, 8154, 692, 1103, 10120, 2342, 267, 1082, 11570, 21787, 26734, 945, 941, 1767, 547, 2259, 4158, 6575, 1210, 28471, 323, 6425, 267, 2156, 1682, 267, 14848, 267, 543, 9490, 1494, 687, 269, 4340, 547, 2442, 561, 648, 267, 891, 9439, 1223, 5641, 5256, 14179, 550, 28542, 4929, 3765, 325, 28232, 267, 2068, 267, 610, 1256, 2669, 2390, 1346, 945, 18084, 873, 269, 1717, 267, 930, 22480, 26734, 27581, 6964, 741, 5759, 585, 1434, 5301, 267, 899, 4543, 12543, 538, 991, 610, 7863, 14252, 689, 2800, 780, 2162, 3979, 12465, 15215, 692, 26156, 3979, 2757, 10764, 6451, 18577, 9006, 3130, 267, 1918, 2065, 3741, 267, 543, 27527, 585, 24587, 13327, 4370, 1114, 3344, 540, 1272, 1107, 6683, 267, 12680, 267, 10122, 267, 3092, 269, 31943, 619, 4497, 538, 1585, 12738, 5473, 17008, 267, 19001, 267, 8964, 267, 543, 7544, 547, 5968, 609, 10143, 4229, 5275, 5583, 267, 25736, 267, 610, 6571, 540, 2123, 2152, 780, 8139, 28477, 3271, 545, 18903, 4653, 454, 5785, 21387, 7212, 1034, 7239, 1631, 7048, 593, 2257, 543, 2029, 3079, 540, 9059, 267, 15244, 540, 12563, 3271, 545, 9059, 2611, 11251, 538, 2413, 2528, 269, 3509, 4207, 7215, 2992, 2085, 6040, 9821, 543, 4978, 2404, 609, 8825, 6698, 267, 18822, 1347, 916, 267, 543, 22530, 1431, 269, 4634, 1893, 9356, 938, 22906, 609, 9059, 282, 1913, 899, 834, 629, 2350, 611, 629, 571, 2437, 834, 2181, 560, 334, 2437, 543, 834, 341, 11798, 14504, 257, 22132, 689, 3504, 9589, 1045, 23148, 780, 11101, 267, 2413, 9423, 5170, 547, 2721, 6667, 689, 12563, 3271, 545, 9059, 269, 7454, 18522, 9089, 267, 9413, 267, 7641, 2982, 267, 543, 3381, 3756, 5781, 4183, 9589, 4798, 543, 18305, 6508, 689, 3140, 6589, 543, 2686, 17691, 269, 1306, 10423, 538, 519, 6679, 2546, 1349, 267, 4589, 1869, 1265, 1871, 538, 6220, 15851, 2609, 540, 12563, 3271, 545, 9059, 883, 741, 1568, 780, 6962, 454, 29603, 3528, 3695, 12563, 3271, 545, 9059, 543, 12738, 267, 649, 2744, 5813, 883, 875, 2250, 12977, 6956, 543, 2170, 539, 609, 741, 5054, 269, 3414, 6313, 3838, 4798, 2066, 3309, 4529, 267, 649, 5660, 1455, 1480, 2833, 10489, 2056, 942, 543, 1747, 269, 1924, 1577, 707, 9345, 1491, 8184, 607, 596, 5490, 4514, 883, 519, 25386, 26441, 540, 12563, 3271, 545, 9059, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2026, 519, 11706, 7140, 547, 5239, 476, 1708, 274, 267, 621, 6770, 609, 621, 513, 7556, 540, 3078, 1007, 1762, 2937, 2835, 267, 1142, 5356, 513, 24891, 547, 9159, 26441, 267, 11541, 3197, 267, 543, 2219, 4538, 6386, 269, 5192, 4712, 547, 3605, 519, 1985, 8903, 3184, 538, 962, 288, 3332, 256, 10925, 835, 630, 528, 811, 264, 593, 3180, 2221, 563, 288, 4354, 572, 585, 6936, 11146, 676, 5153, 7315, 773, 12275, 828, 454, 18128, 836, 5202, 16737, 5887, 3293, 547, 519, 13804, 881, 550, 3345, 538, 3406, 540, 1200, 6126, 10678, 267, 543, 621, 4667, 607, 952, 1352, 814, 621, 269, 2701, 779, 9310, 547, 513, 3946, 727, 19036, 543, 2729, 538, 513, 19416, 14500, 269, 1809, 5345, 836, 5202, 814, 1100, 2856, 540, 519, 14042, 3902, 1352, 779, 6976, 585, 713, 4023, 12682, 1446, 269, 2701, 3085, 1406, 917, 1018, 1352, 814, 4503, 267, 543, 1200, 9393, 568, 5462, 547, 1118, 2386, 1352, 2760, 9060, 856, 1547, 1547, 1547, 855, 1101, 646, 1590, 6146, 808, 2931, 267, 519, 13584, 540, 9839, 338, 563, 313, 327, 4673, 676, 590, 269, 808, 2801, 11219, 2158, 454, 300, 20723, 568, 24193, 2429, 519, 27450, 7464, 916, 269, 7395, 5974, 616, 1572, 705, 558, 1588, 267, 543, 30199, 585, 519, 20575, 540, 28749, 602, 986, 7458, 519, 2244, 8938, 1296, 1354, 563, 297, 514, 11809, 4673, 2907, 1185, 2614, 547, 5855, 827, 1765, 1952, 324, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 293, 13083, 3271, 545, 18903, 543, 681, 3770, 338, 257, 607, 851, 540, 834, 28765, 22723, 13493, 1315, 4317, 3163, 1315, 23205, 16161, 1299, 19088, 1108, 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, 7170, 281, 4197, 3955, 322, 8590, 9442, 998, 5398, 28805, 692, 5970, 596, 2479, 8068, 875, 1004, 689, 1114, 4529, 3006, 798, 1919, 8335, 286, 9320, 596, 4312, 2938, 2576, 32467, 538, 513, 1259, 602, 5654, 14542, 267, 610, 13820, 539, 1426, 602, 729, 1007, 543, 4277, 547, 596, 269, 3776, 1158, 568, 2407, 540, 3309, 4529, 267, 1142, 609, 922, 1378, 2189, 5389, 543, 9821, 269, 1809, 1256, 950, 649, 2097, 689, 1114, 10080, 267, 972, 616, 4025, 1141, 649, 666, 782, 1921, 543, 1174, 1142, 824, 1732, 1107, 899, 1857, 5624, 2439, 14276, 5624, 267, 899, 11614, 543, 19209, 338, 267, 3142, 1927, 1004, 689, 1082, 15211, 540, 1272, 269, 5994, 513, 6288, 538, 707, 4884, 281, 1453, 4730, 267, 3885, 2348, 17552, 333, 923, 267, 2828, 10004, 1154, 593, 1649, 2583, 269, 3767, 1589, 827, 782, 519, 1114, 4529, 1346, 1004, 1522, 4866, 547, 269, 3962, 1268, 6770, 1945, 2027, 547, 602, 2230, 267, 1818, 621, 21950, 543, 811, 7524, 1317, 540, 938, 3604, 780, 15919, 267, 1004, 1256, 946, 1857, 5624, 547, 8661, 741, 6561, 676, 4687, 2757, 2238, 269, 1280, 1383, 267, 513, 1895, 540, 5824, 343, 3885, 1522, 1205, 1927, 538, 513, 6288, 547, 3434, 8949, 19471, 23984, 2297, 267, 2671, 2984, 689, 741, 6689, 338, 267, 543, 4001, 3214, 1187, 3756, 789, 1031, 547, 1404, 1394, 1753, 269, 1635, 3257, 713, 267, 789, 1711, 513, 2631, 540, 10362, 543, 4276, 547, 1312, 741, 3312, 2528, 543, 741, 1007, 2146, 780, 3719, 1946, 1281, 1022, 540, 713, 2339, 286, 4270, 267, 8220, 609, 1866, 689, 1114, 4529, 2337, 721, 1831, 1732, 3868, 2209, 269, 1879, 649, 1451, 827, 1007, 5389, 267, 2119, 1007, 3536, 267, 610, 6432, 547, 2576, 3116, 781, 1650, 267, 649, 1376, 1620, 873, 1732, 269, 901, 5012, 547, 2463, 543, 7071, 585, 1018, 2306, 1142, 2528, 2189, 269, 1656, 7058, 1018, 286, 2334, 2306, 938, 2950, 6793, 543, 811, 18900, 2439, 2080, 616, 930, 4388, 547, 948, 596, 2259, 17685, 8590, 2792, 538, 707, 3232, 1272, 1384, 272, 269, 8058, 7279, 281, 9105, 2055, 543, 1397, 9758, 1719, 538, 1565, 827, 2576, 3116, 781, 2528, 269, 1411, 1223, 2307, 513, 3659, 827, 513, 9702, 789, 8661, 610, 2119, 856, 513, 11600, 689, 1776, 2197, 563, 273, 269, 19415, 8362, 281, 9796, 3007, 547, 1018, 1866, 2161, 543, 1397, 602, 596, 1871, 741, 8369, 269, 715, 617, 3429, 267, 4509, 3750, 3346, 267, 543, 18110, 1394, 1883, 2798, 2982, 602, 596, 1416, 827, 741, 4555, 563, 274, 269, 9523, 16175, 281, 13185, 827, 707, 1378, 2528, 1932, 256, 19457, 707, 5389, 786, 948, 1866, 1294, 10486, 1063, 707, 4529, 543, 1628, 4296, 563, 275, 269, 21727, 3604, 281, 5457, 602, 3025, 814, 741, 1378, 5133, 1759, 593, 741, 909, 32523, 543, 2833, 269, 4634, 952, 596, 1810, 1405, 3858, 609, 2576, 267, 1521, 873, 24963, 543, 5660, 741, 21169, 563, 276, 269, 6657, 9639, 281, 4804, 827, 1007, 4529, 3217, 942, 267, 865, 581, 3461, 609, 3054, 543, 1866, 269, 5901, 3695, 267, 6998, 2055, 267, 543, 6947, 267, 543, 4166, 596, 3513, 1265, 602, 17685, 8590, 2792, 3587, 4443, 543, 811, 11791, 2439, 3383, 979, 6619, 543, 2263, 707, 2199, 1857, 5624, 609, 4195, 4064, 269, 22737, 4763, 543, 3314, 602, 1169, 2528, 814, 1945, 4190, 547, 3565, 547, 938, 2518, 13795, 269, 8414, 12423, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8601, 519, 12497, 2591, 594, 5018, 538, 1250, 2063, 5816, 3955, 322, 8590, 1143, 543, 15520, 8537, 2230, 594, 267, 1857, 5624, 666, 581, 4609, 540, 5458, 17685, 8590, 4316, 269, 1358, 949, 581, 519, 1152, 4609, 1141, 1585, 2516, 2170, 693, 782, 543, 22555, 2621, 267, 971, 607, 13558, 13292, 267, 15976, 610, 6107, 1895, 2621, 949, 2709, 1271, 3255, 585, 954, 31228, 3346, 630, 291, 1149, 543, 595, 3430, 22641, 476, 1220, 277, 264, 543, 585, 10451, 3838, 2833, 630, 299, 12495, 321, 893, 543, 2142, 8974, 2006, 476, 1220, 278, 1040, 4658, 945, 723, 32164, 3603, 689, 835, 2197, 543, 2528, 547, 1776, 4043, 547, 946, 1857, 1930, 5624, 543, 11614, 547, 5531, 543, 7249, 26021, 538, 2081, 602, 616, 24188, 540, 741, 1753, 2197, 267, 13321, 519, 11614, 540, 741, 9772, 633, 2146, 883, 5432, 5624, 269, 4658, 1332, 7923, 547, 5624, 267, 741, 12906, 553, 267, 18282, 543, 519, 2949, 2048, 10623, 601, 685, 540, 513, 2230, 563, 300, 4100, 543, 3212, 29823, 630, 1001, 272, 264, 946, 1079, 15866, 21337, 21669, 4683, 2146, 4677, 3785, 267, 519, 1631, 1219, 9417, 3162, 6239, 10787, 916, 630, 17092, 293, 264, 538, 11968, 13353, 267, 543, 10658, 1326, 14675, 12124, 26478, 538, 555, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 11328, 322, 8590, 9442, 257, 607, 851, 540, 834, 24719, 13316, 1315, 16844, 1299, 5564, 12734, 1143, 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, 17345, 5149, 281, 24531, 8225, 7087, 20989, 692, 8893, 20638, 281, 4841, 786, 1174 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2898, 5044, 454, 842, 2451, 11764, 815, 476, 271, 16963, 1721, 630, 703, 1775, 815, 476, 271, 6902, 1775, 2999, 333, 6902, 1775, 10030, 994, 3847, 11764, 6834, 2855, 5157, 316, 16963, 2260, 28785, 29906, 5044, 543, 12337, 1318, 454, 2260, 8999, 543, 849, 2638, 2451, 23544, 3160, 547, 454, 2260, 2431, 2040, 610, 711, 454, 842, 1318, 11764, 815, 476, 271, 16963, 1721, 630, 703, 1775, 815, 562, 268, 272, 282, 1775, 285, 284, 476, 271, 282, 1775, 734, 994, 19127, 2431, 11764, 6834, 2855, 5157, 316, 16963, 2260, 1410, 2850, 1699, 3693, 547, 519, 2451, 23544, 454, 3847, 11764, 20699, 2855, 5157, 316, 6902, 692, 604, 630, 2431, 11764, 2652, 2451, 11764, 994, 8873, 1775, 476, 3248, 10926, 2260, 604, 621, 568, 711, 2009, 547, 8237, 5044, 454, 2260, 20041, 1079, 2694, 563, 8873, 910, 272, 3248, 10926, 2260, 7468, 6493, 1079, 2694, 1310, 4466, 8237, 454, 2260, 4812, 1210, 1265, 306, 5902, 11592, 4590, 18878, 20704, 1820, 10521, 8512, 338, 263, 703, 32582, 1551, 267, 703, 562, 994, 19127, 842, 8237, 11592, 815, 1265, 306, 5902, 11592, 19906, 267, 562, 32007, 604, 630, 20889, 11592, 2652, 910, 272, 13466, 8237, 11592, 2652, 562, 12467, 19127, 3519, 18030, 269, 2237, 263, 834, 8253, 25792, 257, 3738, 3248, 8873, 476, 3248, 8679, 1721, 630, 703, 1775, 815, 476, 271, 282, 1775, 2999, 333, 282, 1775, 10030, 994, 19127, 604, 630, 20889, 11592, 2652, 1775, 994, 3519, 18030, 269, 2237, 18118, 3890, 16963, 3519, 18030, 269, 2237, 19906, 5157, 316, 1341, 834, 834, 3738, 3248, 8679, 10926, 2260, 291, 18182, 1982, 454, 21504, 11979, 20704, 6301, 630, 21803, 26514, 26571, 264, 2715, 692, 842, 32582, 1551, 815, 2715, 272, 2073, 476, 273, 2073, 476, 274, 2073, 476, 275, 2073, 476, 276, 2073, 476, 276, 7684, 3248, 842, 562, 815, 2855, 11482, 2654, 16963, 2745, 10521, 8512, 338, 19906, 267, 562, 32007, 8679, 10926, 2260, 1607, 3009, 568, 8329, 676, 1612, 1662, 541, 32526, 1012, 23285, 692, 18606, 283, 286, 874, 335, 454, 2260, 15771, 303, 1982, 547, 8237, 454, 2260, 534, 5044, 883, 5565, 454, 2260, 16029, 2040, 1016, 541, 7590, 692, 2260, 14303, 5281, 8237, 1448, 563, 2260, 2252, 711, 2009, 267, 12262, 6533, 2132, 910, 272, 563, 10818, 1265, 306, 5902, 11592, 263, 8096, 1551, 2073, 8096, 333, 12467, 19127, 2260, 10177, 2091, 5044, 3693, 543, 454, 2260, 4818, 1393, 2040, 540, 2898, 5044, 454, 15478, 3847, 11764, 815, 476, 271, 3248, 1721, 630, 8096, 328, 815, 476, 271, 6902, 8096, 328, 2999, 15478, 333, 6902, 8096, 328, 1341, 266, 994, 15478, 3847, 11764, 6834, 8096, 1551, 1496, 8096, 328, 9948, 16963, 2260, 28785, 29906, 5044, 543, 454, 2260, 4818, 1393, 1318, 2040, 543, 849, 454, 2260, 13765, 2451, 23544, 3160, 547, 454, 2260, 2431, 2040, 610, 711, 454, 15478, 2431, 11764, 815, 476, 271, 3248, 1721, 630, 8096, 328, 815, 8096, 333, 910, 476, 272, 282, 8096, 328, 285, 284, 476, 271, 282, 8096, 328, 4534, 994, 19127, 2260, 1729, 1318, 23544, 454, 15478, 2431, 11764, 6834, 8096, 1551, 1496, 8096, 328, 9948, 16963, 2260, 1410, 2850, 1699, 3693, 454, 2260, 1729, 519, 2451, 23544, 454, 15478, 3847, 11764, 20699, 8096, 1551, 1496, 8096, 328, 9948, 6902, 692, 604, 630, 8096, 2431, 11764, 2652, 8096, 3847, 11764, 12467, 8873, 8096, 328, 476, 3248, 10926, 2260, 604, 621, 568, 711, 2009, 454, 2260, 1729, 8237, 5044, 883, 454, 2260, 18314, 2694, 563, 8873, 910, 272, 3248, 10926, 2260, 7468, 6493, 1079, 2694, 1310, 454, 2260, 325, 4193, 8237, 1448, 454, 2260, 6748, 1265, 306, 5902, 11592, 4590, 10818, 1820, 10521, 8512, 338, 263, 8096, 1551, 2073, 8096, 333, 12467, 19127, 15478, 20889, 11592, 815, 1265, 306, 5902, 11592, 263, 8096, 1551, 2073, 8096, 333, 3738, 16963, 604, 630, 8096, 20889, 11592, 2652, 910, 272, 610, 454, 15478, 20889, 11592, 2652, 8096, 333, 12467, 19127, 3663, 334, 834, 8253, 25792, 257, 476, 3248, 8873, 476, 3248, 8679, 1721, 630, 8096, 328, 815, 476, 271, 282, 8096, 328, 2999, 15478, 333, 6902, 8096, 328, 1341, 266, 994, 19127, 604, 630, 8096, 20889, 11592, 2652, 8096, 328, 12467, 3663, 334, 27719, 333, 257, 476, 3248, 3663, 334, 8096, 1551, 1496, 8096, 328, 9948, 2073, 834, 834, 476, 3248, 8679, 10926, 2260, 291, 18182, 8943, 454, 15478, 1551, 815, 5044, 630, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 276, 11850, 15478, 333, 815, 1293, 630, 8096, 1551, 3738, 3248, 2745, 10521, 8512, 338, 263, 8096, 1551, 2073, 8096, 333, 3738, 16963, 2260, 1607, 3009, 568, 8329, 676, 606, 340, 329, 318, 6858, 563, 286, 285, 32526, 18606, 272, 476, 273, 476, 274, 476, 275, 454, 276, 476, 276, 18606, 0, 1012, 476, 1626, 8292, 585, 968, 29991, 13672, 10640, 272, 269, 4873, 476, 1015, 267, 476, 1001, 280, 693, 476, 2641, 281, 1321, 692, 8133, 780, 273, 269, 4460, 538, 2904, 26413, 454, 18907, 476, 1015, 267, 476, 1001, 280, 693, 476, 2641, 281, 6078, 692, 1911, 692, 274, 269, 4460, 538, 2904, 26413, 454, 18907, 476, 1015, 267, 476, 1001, 280, 693, 476, 2641, 281, 2004, 692, 310, 3994, 692, 275, 269, 632, 926, 30937, 454, 18907, 476, 1556, 267, 476, 1001, 280, 693, 476, 6349, 281, 2420, 692, 2004, 692, 276, 269, 4873, 476, 1556, 267, 476, 1001, 280, 693, 476, 6860, 281, 1839, 692, 302, 3591, 267, 20994, 267, 1590, 723, 1835, 14414, 1107, 4158, 267, 4411, 267, 4764, 267, 16563, 1472, 891, 2197, 2694, 267, 9114, 1524, 267, 1990, 517, 330, 780, 1692, 1131, 835, 12446, 693, 476, 2004, 286, 12631, 382, 509, 382, 503, 382, 480, 5262, 2159, 585, 596, 547, 1376, 17609, 519, 7285, 596, 1336, 267, 942, 10438, 269, 594, 1336, 972, 729, 513, 11064, 3564, 799, 594, 1223, 1265, 1100, 2417, 7285, 269, 594, 31665, 476, 2004, 855, 1223, 711, 581, 2386, 780, 1892, 1232, 333, 710, 454, 18907, 476, 1556, 267, 476, 1001, 280, 693, 476, 6021, 281, 5881, 692, 2252, 661, 6195, 291, 941, 513, 28023, 29105, 267, 13672, 1131, 581, 476, 2004, 5232, 1317, 661, 7374, 568, 476, 2004, 5232, 269, 1809, 602, 666, 1406, 581, 1318, 1317, 13672, 266, 290, 23813, 1131, 581, 476, 3445, 5232, 282, 8754, 10566, 1131, 581, 513, 8006, 543, 7131, 292, 1131, 849, 723, 547, 581, 476, 3445, 5232, 2507, 692, 1892, 1232, 333, 710, 454, 18907, 476, 1556, 267, 476, 1001, 280, 693, 476, 6021, 281, 1704, 692, 4916, 269, 594, 4076, 6537, 519, 4137, 1210, 29772, 543, 594, 1631, 917, 519, 2626, 269, 1809, 594, 666, 1406, 1294, 1022, 1259, 540, 3478, 547, 621, 676, 9511, 4805, 780, 1892, 4873, 476, 1556, 267, 476, 1001, 280, 693, 476, 6021, 281, 2420, 692, 2750, 18075, 269, 901, 568, 1018, 594, 729, 15691, 2576, 1131, 2491, 269, 2290, 1131, 991, 513, 1318, 4120, 12341, 5310, 780, 1892, 932, 3089, 956, 454, 18907, 476, 1556, 267, 476, 1001, 280, 693, 476, 1556, 281, 4962, 692, 5575, 3364, 547, 3314, 568, 602, 519, 5373, 1657, 568, 10691, 9215, 14662, 3201, 292, 2439, 2005, 568, 2009, 1210, 2520, 600, 14121, 3419, 267, 855, 596, 991, 547, 1039, 476, 273, 811, 3515, 24121, 19352, 513, 1899, 689, 667, 547, 1899, 7460, 267, 693, 606, 5086, 540, 476, 736, 2554, 547, 1899, 9823, 267, 547, 12969, 7460, 693, 513, 1448, 649, 3580, 1289, 717, 563, 19352, 538, 1776, 1007, 1899, 661, 294, 780, 17951, 548, 717, 17584, 729, 6537, 607, 476, 736, 2554, 269, 543, 5086, 9823, 294, 568, 476, 3199, 2554, 267, 865, 5086, 667, 24774, 568, 849, 476, 3199, 2554, 267, 799, 1797, 602, 1899, 9823, 815, 1899, 667, 294, 630, 553, 6906, 9823, 294, 568, 568, 30801, 2020, 20118, 267, 5086, 667, 4753, 568, 476, 2004, 2554, 267, 5086, 595, 23813, 568, 476, 3199, 2554, 267, 865, 5086, 667, 4488, 568, 476, 2004, 543, 1899, 16692, 815, 1899, 9823, 630, 10472, 6906, 568, 849, 568, 30801, 6393, 5804, 713, 16692, 815, 667, 294, 267, 543, 2094, 5086, 11581, 294, 568, 476, 2568, 2554, 267, 6906, 11581, 294, 568, 31164, 780, 4517, 6906, 717, 9720, 568, 568, 30801, 609, 5086, 717, 9720, 815, 476, 2412, 2554, 780, 4517, 6368, 267, 6906, 717, 23813, 568, 568, 30801, 609, 5086, 476, 3583, 2554, 267, 865, 5086, 13672, 568, 476, 3583, 268, 2412, 815, 476, 1789, 2554, 780, 277, 269, 7083, 570, 454, 18907, 476, 1556, 267, 476, 1001, 280, 693, 476, 1556, 281, 6078, 692, 26594, 726, 617, 3429, 855, 1250, 4946, 909, 814, 5828, 547, 13134, 2221, 269, 12433, 674, 676, 476, 5197, 1107, 630, 476, 2568, 1341, 476, 2004, 264, 815, 476, 3583, 269, 1306, 519, 3515, 3444, 519, 2427, 6587, 674, 568, 519, 1482, 607, 674, 269, 2334, 13071, 596, 5173, 519, 824, 7285, 538, 519, 1647, 607, 630, 11740, 1107, 476, 273, 293, 264, 1315, 476, 273, 269, 815, 476, 8099, 1411, 1631, 723, 1079, 7285, 693, 519, 1318, 543, 2451, 563, 4002, 519, 1318, 596, 723, 476, 8099, 1341, 476, 1789, 547, 2285, 519, 5086, 538, 519, 7944, 676, 13672, 476, 2412, 454, 4002, 519, 2451, 596, 723, 476, 8099, 1341, 736, 547, 2285, 519, 5086, 547, 2347, 602, 835, 607, 476, 2004, 454, 288, 568, 476, 5197, 1107, 630, 476, 736, 1341, 476, 2568, 3738, 1107, 630, 1789, 1341, 476, 2004, 264, 815, 476, 736, 454, 3383, 1631, 649, 723, 547, 979, 547, 13080, 543, 946, 21359, 543, 5430, 793, 338, 547, 5173, 621, 856, 563, 3383, 2407, 3259, 540, 2451, 2427, 815, 476, 272, 5620, 1100, 2856, 855, 649, 1810, 1406, 991, 2450, 547, 581, 1318, 1175, 7285, 563, 17359, 3259, 540, 1318, 2427, 815, 476, 272, 607, 1134, 607, 1312, 7285, 815, 476, 3199, 693, 5377, 454, 3383, 991, 547, 5173, 2450, 540, 1283, 5057, 593, 2451, 1210, 21359, 865, 1253, 1063, 589, 543, 645, 568, 476, 271, 269, 276, 3953, 6021, 454, 12749, 540, 2451, 1210, 1482, 1608, 14369, 815, 476, 271, 269, 4792, 274, 454, 3383, 649, 1631, 5173, 519, 5086, 538, 519, 1283, 540, 645, 1210, 5430, 793, 338, 607, 476, 8099, 454, 3383, 13672, 815, 476, 5197, 1107, 476, 8099, 1107, 476, 2412, 815, 476, 1789, 692, 6546, 1058, 581, 1318, 780, 278, 269, 4873, 476, 1556, 267, 476, 1001, 280, 693, 476, 1321, 281, 7918, 692, 4692, 1406, 979, 547, 13080, 1317, 519, 5373, 568, 711, 547, 4336, 269, 898, 666, 1406, 581, 1107, 1175, 1413, 693, 519, 476, 3583, 543, 476, 8099, 780, 1892, 7083, 570, 454, 18907, 476, 1556, 267, 476, 1001, 280, 693, 476, 1704, 281, 6872, 692, 306, 675, 596, 666, 269, 700, 9975, 666, 711, 581, 5462, 855, 666, 581, 1031, 547, 5173, 519, 7285, 607, 649, 723, 1175, 7152, 780, 279, 269, 4873, 476, 1556, 267, 476, 1001, 280, 693, 476, 1691, 281, 6021, 692, 296, 3858, 609, 7083, 570, 602, 13672, 568, 476, 1789, 5232, 269, 594, 723, 1114, 2324, 780, 296, 993, 3833, 6126, 547, 946, 15821, 2418, 585, 13080, 267, 543, 811, 9511, 267, 543, 11883, 609, 519, 6516, 711, 1373, 547, 4336, 269, 2201, 713, 267, 594, 1810, 1406, 2731, 1174, 6276, 685, 1843, 542, 630, 604, 621, 568, 606, 1843, 542, 6393, 296, 3580, 1826, 909, 1250, 2324, 267, 799, 1522, 1491, 930, 942, 780, 16032, 14621, 692, 280, 269, 4873, 476, 1556, 267, 476, 1001, 280, 693, 476, 1691, 281, 5655, 692, 5575, 267, 594, 7229, 543, 5206, 538, 782, 519, 7285, 602, 666, 581, 3274, 7229, 689, 2040, 7285, 540, 513, 6906, 543, 2040, 7285, 593, 835, 2427, 540, 513, 2786, 1899, 780, 31590, 9201, 667, 3722, 267, 7131, 292, 543, 9474, 291, 616, 1142, 568, 30801, 1107, 609, 630, 514, 1142, 6906, 264, 519, 8998, 14584, 525, 1373, 519, 21376, 3283, 780, 2414, 14458, 1919, 267, 594, 5581, 519, 2427, 9823, 547, 723, 1770, 3259, 630, 17584, 284, 272, 269, 271, 1040, 901, 15320, 689, 7083, 570, 779, 4214, 540, 21096, 284, 5723, 284, 272, 269, 271, 780, 763, 1739, 1079, 15821, 3160, 885, 616, 1031, 780, 9217, 264, 634, 4521, 540, 590, 1149, 568, 602, 267, 585, 1022, 6906, 630, 3200, 1182, 623, 304, 305, 267, 7285, 533, 336, 337, 1070, 519, 3259, 540, 1142, 2427, 5258, 676, 519, 20534, 540, 519, 6587, 5086, 269, 4935, 623, 304, 4882, 514, 16868, 264, 815, 30040, 4882, 514, 9638, 264, 815, 681, 303, 4882, 514, 32429, 6393, 23870, 264, 634, 20534, 540, 513, 2040 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2744, 519, 2702, 547, 1159, 603, 269, 16572, 543, 6608, 616, 4646, 563, 290, 2753, 1436, 268, 29329, 8609, 31171, 454, 15575, 1845, 616, 4646, 269, 22749, 543, 4031, 616, 10731, 269, 634, 5137, 540, 1950, 4872, 543, 946, 540, 6405, 630, 528, 2147, 1950, 2326, 1040, 20520, 540, 2241, 6191, 563, 290, 2753, 1436, 268, 11628, 8609, 31171, 454, 4467, 14658, 12227, 568, 2813, 971, 607, 6517, 267, 14742, 267, 1256, 5624, 4721, 563, 763, 6602, 540, 26300, 15362, 2951, 269, 5303, 5892, 11827, 568, 4824, 267, 621, 568, 1500, 1732, 267, 10930, 267, 15777, 269, 0, 8139, 9756, 281, 713, 875, 3562, 3391, 649, 786, 3382, 519, 9238, 540, 9756, 607, 1134, 607, 1683, 1806, 540, 875, 9756, 568, 1031, 538, 4081, 1382, 269, 4856, 7758, 1049, 1382, 676, 2261, 1176, 333, 737, 1138, 517, 543, 795, 574, 4422, 2882, 32461, 689, 1138, 517, 630, 1001, 272, 1070, 12031, 543, 14046, 1382, 281, 10346, 585, 1967, 269, 769, 5506, 3069, 543, 7194, 267, 9756, 267, 849, 1572, 9756, 11664, 267, 6920, 519, 4222, 543, 4287, 540, 513, 5276, 2078, 1063, 1079, 269, 3399, 4974, 9756, 1382, 1451, 6863, 267, 2474, 267, 543, 811, 609, 15460, 267, 3756, 267, 543, 824, 1353, 2645, 269, 4856, 7758, 1049, 2090, 616, 835, 540, 519, 2101, 2010, 540, 6530, 1382, 1451, 811, 827, 875, 12633, 1049, 1382, 1568, 563, 17357, 7758, 1049, 1382, 12633, 1049, 2090, 4766, 519, 4756, 2078, 3842, 513, 9756, 11664, 1614, 5036, 540, 1239, 6029, 1114, 269, 901, 3992, 7710, 267, 609, 519, 948, 540, 1079, 1806, 267, 519, 2596, 2856, 540, 1018, 513, 9756, 568, 267, 519, 2489, 3483, 540, 1210, 12633, 1049, 1382, 269, 4856, 21975, 2079, 2337, 3313, 519, 4287, 543, 4222, 540, 513, 2078, 1063, 1079, 4632, 1451, 811, 827, 713, 8579, 4480, 563, 763, 9756, 568, 835, 540, 519, 1034, 1455, 543, 1034, 3730, 7194, 513, 9756, 568, 513, 2582, 1297, 602, 6257, 519, 4110, 540, 2078, 1063, 1079, 4632, 269, 4985, 547, 9756, 543, 9695, 2079, 538, 713, 3296, 649, 786, 1101, 1865, 9756, 2079, 267, 799, 568, 1031, 547, 22945, 519, 7681, 269, 3848, 476, 279, 5619, 543, 12633, 1049, 1382, 6272, 1923, 476, 25375, 3051, 3438, 320, 1299, 3774, 864, 267, 476, 1001, 272, 264, 568, 4857, 607, 606, 476, 1556, 268, 14403, 4336, 267, 2495, 602, 519, 4336, 610, 5619, 269, 21942, 781, 9756, 11664, 630, 337, 264, 568, 513, 2268, 540, 519, 4222, 540, 519, 7681, 1063, 519, 1079, 4632, 1382, 1184, 12007, 2079, 269, 4856, 7758, 1049, 4214, 267, 8994, 6935, 540, 1079, 610, 811, 1919, 267, 2694, 267, 3092, 281, 2090, 1265, 513, 2318, 9756, 1063, 10335, 540, 4576, 543, 9422, 4567, 563, 1805, 2774, 569, 6340, 9756, 568, 711, 513, 1382, 1505, 855, 513, 1259, 540, 30228, 1239, 10356, 676, 824, 1797, 713, 1522, 581, 3730, 267, 585, 1383, 269, 700, 1941, 320, 678, 21779, 18051, 268, 13568, 1001, 275, 5581, 9756, 281, 1863, 9756, 1382, 1957, 519, 1533, 610, 6935, 540, 1373, 17047, 4481, 2433, 513, 6935, 4540, 1063, 269, 667, 3925, 540, 513, 9756, 1354, 649, 4983, 519, 1114, 2010, 540, 12633, 1049, 1382, 2409, 267, 1174, 602, 21374, 666, 979, 538, 1079, 8846, 2318, 269, 769, 7194, 267, 9756, 568, 519, 4110, 547, 799, 1079, 2621, 610, 4632, 616, 9846, 1644, 713, 2268, 6920, 1312, 269, 6176, 593, 9756, 585, 1382, 2409, 713, 3896, 543, 922, 1543, 568, 1641, 547, 938, 2474, 543, 2175, 563, 288, 9756, 1353, 540, 4008, 2861, 13180, 538, 519, 4070, 2872, 676, 2587, 11253, 12837, 344, 513, 12031, 4843, 538, 9864, 20106, 1382, 1505, 269, 4856, 21975, 666, 581, 6045, 607, 513, 2582, 1297, 799, 6257, 519, 6708, 540, 2078, 1063, 1079, 4632, 519, 2078, 1063, 891, 1079, 269, 4856, 30447, 1152, 4766, 519, 2078, 267, 789, 798, 711, 6961, 2014, 543, 1198, 9756, 568, 513, 2556, 267, 855, 711, 513, 6190, 2783, 585, 8159, 1757, 1275, 269, 7982, 547, 29395, 9756, 2079, 910, 2344, 1382, 9756, 2079, 568, 513, 1505, 540, 8579, 6268, 1031, 547, 1353, 519, 4222, 540, 513, 2078, 269, 769, 1840, 547, 3604, 267, 1382, 2055, 616, 1419, 5059, 593, 3347, 9756, 7194, 948, 596, 547, 3313, 952, 513, 2078, 6818, 267, 543, 952, 865, 563, 17357, 7758, 1049, 1374, 729, 1031, 547, 2347, 519, 1184, 540, 713, 519, 1382, 2243, 538, 713, 1353, 513, 12633, 1049, 1353, 540, 6089, 325, 539, 476, 1556, 628, 17603, 543, 27666, 520, 269, 590, 720, 4704, 568, 10583, 547, 14773, 519, 22605, 540, 7403, 543, 7194, 538, 4610, 607, 8795, 607, 2069, 267, 6214, 543, 1072, 1416, 267, 4879, 563, 19185, 585, 2228, 4214, 540, 12633, 1049, 1382, 538, 519, 2564, 8675, 12633, 1049, 1382, 7778, 1863, 1018, 568, 12633, 1049, 1382, 269, 634, 19319, 540, 9756, 1382, 568, 602, 1344, 15504, 689, 1239, 2079, 568, 1360, 3908, 713, 1826, 540, 1382, 1152, 2982, 952, 972, 568, 513, 2318, 269, 589, 9756, 568, 513, 8579, 6482, 540, 519, 2078, 267, 2901, 2318, 610, 2942, 267, 1063, 1079, 4632, 269, 18430, 532, 12633, 1049, 1382, 676, 1743, 23891, 564, 7297, 630, 516, 14876, 267, 476, 1001, 278, 264, 1382, 1374, 538, 2489, 267, 513, 12633, 1049, 1353, 568, 513, 11050, 1505, 540, 1382, 538, 799, 269, 0, 309, 2723, 550, 3381, 3756, 1198, 593, 1453, 1557, 454, 763, 2179, 540, 5208, 519, 3756, 2270, 16643, 779, 827, 519, 2360, 540, 10795, 3381, 3014, 540, 10795, 3381, 3014, 1404, 593, 1453, 269, 1548, 649, 2965, 917, 827, 519, 2360, 540, 10795, 3381, 3756, 593, 799, 10645, 602, 13371, 2835, 941, 11032, 947, 3320, 20392, 1453, 547, 5208, 543, 269, 634, 2942, 2360, 540, 10795, 2923, 593, 1453, 1557, 519, 2942, 2360, 540, 10795, 2923, 593, 1453, 1557, 2360, 540, 10795, 3381, 3756, 593, 1453, 269, 20134, 2360, 540, 3381, 3756, 1557, 2942, 2360, 540, 3381, 3756, 543, 2164, 540, 3381, 3756, 2623, 2360, 593, 5256, 1453, 10795, 3381, 3756, 269, 1323, 2376, 2854, 676, 543, 16699, 6862, 25556, 3823, 519, 1764, 540, 3381, 3756, 593, 1453, 19976, 2360, 540, 10795, 3381, 3756, 593, 14699, 538, 30978, 543, 519, 269, 10795, 3381, 3756, 2014, 2623, 2042, 1557, 519, 2360, 540, 10795, 3381, 3756, 593, 3381, 3756, 2623, 2360, 593, 5256, 1453, 10795, 3381, 3756, 563, 5353, 534, 1490, 28310, 7548, 897, 6975, 7005, 476, 12553, 268, 6734, 476, 278, 32414, 476, 1001, 271, 10795, 3381, 3756, 543, 741, 1198, 593, 1453, 2479, 2094, 519, 5137, 540, 519, 1101, 3381, 3014, 267, 789, 723, 1185, 513, 1978, 1198, 593, 519, 2043, 945, 1404, 873, 269, 18461, 1863, 547, 946, 621, 607, 513, 1434, 3490, 547, 5635, 707, 1378, 1557, 519, 2360, 540, 10795, 3381, 3756, 621, 568, 1271, 547, 4063, 602, 950, 513, 1126, 4249, 513, 10795, 3014, 269, 1715, 1382, 5267, 602, 3108, 540, 4598, 547, 10795, 2923, 899, 3381, 3756, 666, 1118, 3214, 2746, 538, 811, 20935, 2081, 3379, 547, 3283, 945, 1810, 1405, 6108, 6266, 540, 942, 17120, 2987, 11804, 267, 12081, 1746, 519, 7521, 827, 1453, 543, 11080, 269, 12186, 540, 10795, 3381, 3756, 593, 1453, 519, 946, 540, 3381, 3756, 814, 1831, 14831, 3585, 2442, 1851, 1453, 543, 10708, 538, 519, 2250, 8717, 538, 1249, 563, 2171, 786, 2328, 513, 2688, 1557, 3732, 519, 2360, 540, 891, 3381, 3756, 593, 1453, 723, 562, 551, 341, 1705, 513, 1382, 593, 3339, 1453, 543, 10795, 3381, 3756, 1705, 269, 13245, 2713, 281, 3381, 3756, 786, 1118, 707, 3214, 10795, 543, 811, 602, 519, 5208, 538, 519, 3756, 723, 513, 2942, 1198, 593, 1557, 1775, 1185, 3144, 513, 269, 1703, 568, 3395, 1382, 593, 519, 2360, 540, 2756, 690, 1868, 593, 1453, 930, 3381, 3756, 949, 972, 616, 4145, 827, 519, 1198, 540, 10795, 3381, 3756, 593, 1762, 269, 15329, 550, 3381, 3756, 3594, 24825, 550, 3381, 3756, 723, 1185, 606, 1198, 593, 31655, 1282, 519, 2250, 1906, 1296, 950, 621, 2501, 547, 519, 12322, 543, 1453, 945, 1404, 3381, 3756, 267, 789, 1589, 602, 621, 568, 513, 1360, 1187, 1995, 563, 309, 2723, 550, 3381, 3756, 2306, 1453, 1332, 909, 883, 10728, 519, 10795, 3381, 3014, 2360, 547, 1449, 2436, 10795, 3756, 1185, 513, 3152, 1198, 593, 1453, 269, 10017, 3594, 281, 519, 2360, 540, 10795, 3381, 3756, 593, 10728, 2623, 269, 17547, 1025, 5446, 3381, 3756, 910, 1250, 2123, 12819, 1557, 540, 519, 2360, 540, 10795, 3381, 3756, 543, 10795, 3381, 3756, 1522, 16616, 1453, 269, 14288, 1557, 1107, 3381, 3014, 779, 543, 741, 1198, 593, 538, 547, 17058, 2486, 543, 875, 519, 3756, 1198, 1762, 1453, 538, 513, 2360, 540, 10795, 3381, 3014, 6208, 593, 563, 10932, 593, 4598, 547, 8613, 543, 7260, 5208, 5267, 602, 4730, 10795, 3381, 3756, 786, 2333, 10728, 2623, 513, 13849, 12845, 24608, 2689, 540, 519, 3381, 3766, 877, 1382, 3332, 8761, 602, 10795, 3381, 3756, 2333, 10728, 2623, 538, 1453, 543, 1762, 4079, 269, 769, 1931, 547, 1852, 519, 2360, 540, 3381, 3014, 5208, 547, 581, 2944, 593, 519, 2360, 540, 3381, 3756, 593, 540, 555, 1512, 1126, 267, 3381, 3756, 666, 581, 513, 1434, 563, 309, 2723, 550, 3381, 3756, 1198, 593, 1453, 1557, 454, 22546, 338, 540, 10795, 3381, 3756, 593, 1453, 519, 946, 540, 3381, 3756, 814, 1831, 14831, 3585, 2442, 1851, 1453, 543, 10708, 538, 519, 2250, 8717, 563, 21581, 3756, 4098, 538, 519, 2038, 476, 1960, 271, 338, 543, 11173, 796, 629, 730, 547, 519, 1459, 8507, 538, 1804, 2338, 540, 1453, 10795, 3381, 3014, 1198, 16643, 269, 8745, 4266, 7548, 779, 2012, 1576, 3296, 270, 258, 5208, 543, 922, 1764, 2390, 10708, 281, 606, 14374, 883, 519, 2360, 540, 3381, 3756, 606, 26837, 4192, 1249, 568, 602, 519, 269, 3733, 1557, 786, 581, 1813, 676, 14182, 267, 666, 4896, 948, 803, 547, 4368, 1250, 1966, 7064, 865, 1454, 519, 2360, 540, 3381, 3756, 543, 5208, 936, 519, 2540, 267, 3381, 3756, 723, 1831, 3833, 606, 16007, 1851, 1004, 540, 782, 6502, 543, 2528, 269, 1715, 1353, 8039, 476, 5611, 1382, 4574, 547, 2708, 519, 1198, 540, 891, 3381, 1453, 1404, 3381, 3756, 547, 10795, 3381, 3756, 543, 5739, 2360, 593, 269, 1323, 1557, 1383, 2630, 6941, 602, 10795, 3381, 3756, 568, 711, 513, 2014, 540, 14699, 581, 2386, 547, 946, 713, 6169, 1348, 1557, 547, 707, 5413, 269, 5131, 1557, 281, 3014, 936, 281, 519, 2360, 540, 10795, 3381, 3756, 593, 1453, 5722, 3108, 602, 568, 519, 2179, 540, 3108, 513, 1554, 519, 3328, 7819, 1126, 4249, 513, 3381, 269, 12726, 2014, 543, 1198, 1557, 593, 3381, 3756, 3310, 540, 1453, 3381, 3756, 723, 1044, 513, 851, 540, 1453, 781, 1272, 585, 538, 1373, 10795, 538, 519, 3381, 3756, 563, 10403, 10795, 3381, 3756, 4574, 267, 3594, 10795, 2923, 1281, 711, 723, 606, 1198, 593, 1453, 910, 10795, 2923, 568, 513, 7986, 851, 540, 13314, 781, 2528, 269, 5131, 1557, 281, 10795, 3381, 3756, 666, 1291, 547, 10728, 543, 10795, 2623, 538, 1453, 543, 10708, 968, 24825, 550, 2923, 2333, 14699, 676, 3450, 269, 1677, 2253, 609, 621, 1058, 581, 7074, 602, 19951, 267, 16764, 6487, 1018, 513, 3381, 3014, 568, 607, 513, 1249, 267, 5904, 1831, 606, 3003, 851, 540, 938, 2729, 543, 616, 3592, 538, 1169, 1920, 269, 15845, 593, 513, 21465, 1198, 540, 10795, 3756, 593, 5208, 568, 2356, 1649, 15924, 543, 20758, 267, 544, 19376, 678, 267, 1620, 519, 2360, 540, 10795, 3381, 3756, 4574, 269, 7348, 1557, 910, 5208, 2360, 1557, 689, 26240, 331, 476, 271, 6078, 693, 2192, 12437, 10509, 519, 5626, 2360, 540, 10795, 3381, 3756, 543, 9413, 593, 1453, 543, 1762, 4079, 538, 519, 476, 736, 628, 543, 476, 2641, 560, 5553, 519, 1158, 269, 0, 1692, 547, 20272, 513, 2013, 1353, 2013, 2090, 616, 1031, 538, 1082, 3318, 2069, 3292, 267, 5097, 538, 1870, 1153, 267, 547, 1459, 1483, 8996, 3871, 547, 1053, 269, 1548, 5205, 616, 519, 2185, 3268, 547, 8600, 513, 3501, 1870, 2013, 10959, 585, 2090, 267, 610, 1870, 4566, 1870, 3656, 267, 543, 2825, 722, 499, 2079, 269, 6355, 3506, 946, 2013, 2090, 547, 4001, 1053, 875, 547, 2708, 1870, 3871, 543, 1118, 3664, 1759, 2390, 1346, 10526, 269, 1879, 8939, 513, 2013, 585, 513, 2013, 1353, 543, 2079, 540, 513, 2528, 610, 1514, 795, 543, 688, 330, 267, 512, 630, 1220, 279, 264, 2013, 1353, 12191, 538, 1870, 1382, 3404, 5112, 269, 1323, 1935, 547, 2013, 2079, 5162, 476, 1220, 277, 1018, 568, 513, 2013, 1353, 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 ]
[ 1895, 1223, 1831, 1932, 3532, 269, 901, 2856, 2501, 2786, 689, 519, 9139, 3294, 256, 3776, 15713, 18971, 4941, 1142, 7936, 540, 2229, 630, 1492, 15424, 267, 10324, 267, 543, 16324, 8371, 264, 547, 4585, 936, 519, 1866, 543, 2327, 3388, 8255, 12347, 780, 3086, 267, 1577, 781, 4685, 883, 519, 1523, 540, 16324, 2689, 269, 5994, 952, 6837, 10596, 513, 1876, 3850, 1004, 547, 5397, 6517, 950, 789, 2811, 1152, 476, 1321, 1296, 2025, 269, 16319, 5906, 267, 1318, 286, 4270, 267, 602, 781, 950, 519, 10966, 7040, 3268, 538, 269, 1358, 666, 4983, 519, 1007, 1876, 543, 6430, 2436, 621, 4422, 1996, 519, 772, 2529, 269, 9139, 269, 1403, 519, 1175, 1182, 3494, 621, 1281, 267, 1287, 789, 17551, 519, 1876, 796, 6247, 6627, 267, 3927, 11495, 621, 1524, 543, 7303, 621, 689, 1373, 24451, 780, 2080, 781, 1776, 1383, 547, 948, 12172, 1919, 2417, 269, 2913, 781, 2161, 519, 5518, 16976, 547, 1033, 664, 2576, 1510, 4758, 873, 1569, 547, 513, 15818, 610, 12123, 873, 609, 1022, 6760, 269, 901, 1522, 3280, 899, 1945, 856, 540, 513, 7260, 267, 855, 621, 2965, 5949, 1394, 538, 476, 1220, 272, 1310, 519, 13249, 2621, 540, 5181, 476, 1556, 628, 269, 2368, 1004, 11130, 602, 891, 3527, 941, 796, 6247, 6627, 1317, 789, 4682, 1996, 2596, 2924, 13890, 538, 519, 9291, 540, 7126, 269, 1924, 945, 1131, 1900, 538, 543, 8207, 971, 13882, 286, 1411, 31665, 621, 910, 519, 10966, 7040, 256, 1635, 10647, 16324, 2689, 267, 519, 5480, 6038, 4956, 602, 519, 2259, 540, 8066, 31268, 1510, 5279, 610, 3656, 6041, 26991, 741, 13338, 2924, 780, 3383, 1946, 568, 782, 713, 1898, 286, 4197, 16324, 2689, 2337, 721, 5660, 875, 938, 2197, 14014, 1367, 23118, 1247, 4180, 602, 3025, 5205, 519, 3652, 1305, 8521, 538, 519, 9139, 269, 898, 849, 2982, 875, 1114, 2694, 540, 938, 2229, 960, 1927, 547, 2226, 3666, 543, 2061, 28407, 540, 1379, 780, 2026, 4961, 267, 6616, 827, 16324, 2689, 16877, 721, 547, 4497, 609, 1699, 2152, 8362, 543, 1174, 519, 2956, 540, 2348, 4023, 543, 31717, 16488, 1818, 2565, 3664, 269, 1656, 30971, 267, 6148, 14693, 9358, 1223, 1256, 1265, 3054, 19163, 1354, 519, 5207, 5480, 538, 519, 2244, 267, 21108, 707, 4978, 543, 8165, 585, 5126, 256, 14348, 333, 1405, 602, 581, 5863, 2496, 1103, 5758, 267, 16324, 2689, 4249, 513, 4105, 1909, 1369, 519, 1977, 2229, 1062, 269, 3414, 6313, 4031, 543, 10442, 2436, 789, 5447, 609, 519, 3741, 9788, 856, 538, 519, 772, 2529, 269, 9139, 267, 519, 10966, 7040, 6411, 607, 513, 27369, 540, 938, 22624, 543, 5849, 602, 1169, 7936, 3788, 7059, 543, 3743, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21893, 1433, 9607, 519, 13354, 1686, 540, 2804, 2219, 538, 6239, 3864, 2477, 1141, 972, 568, 513, 8037, 524, 454, 5952, 280, 476, 6812, 476, 274, 11586, 454, 12626, 9664, 476, 3192, 476, 5729, 476, 1708, 271, 454, 288, 2312, 543, 28505, 2272, 540, 519, 1646, 540, 519, 3864, 4346, 543, 922, 5989, 689, 519, 2034, 2540, 512, 454, 277, 1321, 476, 8099, 476, 3953, 11586, 3367, 811, 454, 276, 3066, 476, 10037, 476, 736, 11586, 3367, 811, 454, 3445, 274, 476, 7871, 476, 2537, 11586, 3367, 811, 454, 2690, 519, 1101, 942, 267, 12356, 616, 5185, 609, 513, 5001, 27082, 13659, 799, 568, 2324, 547, 946, 1702, 267, 519, 9443, 543, 555, 454, 10082, 476, 11011, 476, 280, 11586, 3367, 811, 454, 1607, 568, 835, 540, 681, 1054, 321, 731, 779, 1034, 1271, 14046, 1568, 269, 769, 519, 1101, 4320, 267, 681, 1054, 321, 731, 15244, 519, 1686, 540, 9297, 454, 277, 4649, 476, 6924, 476, 280, 11586, 3367, 811, 454, 5325, 272, 476, 7871, 476, 276, 11586, 3367, 811, 454, 5804, 25196, 547, 938, 1378, 942, 1346, 5461, 538, 2797, 4346, 723, 609, 3592, 1100, 17756, 9833, 519, 2067, 454, 6344, 476, 3393, 476, 274, 11586, 3367, 811, 454, 8368, 540, 9115, 10778, 6637, 476, 272, 281, 4985, 454, 6637, 476, 273, 281, 3245, 22073, 19402, 519, 2622, 2782, 594, 454, 763, 7216, 3718, 540, 519, 590, 4869, 7570, 543, 519, 1530, 1203, 7570, 2578, 3753, 454, 763, 20640, 7570, 543, 519, 7216, 715, 12078, 2578, 3753, 454, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 297, 644, 2772, 5623, 257, 607, 851, 540, 834, 303, 27773, 13316, 1315, 1977, 6554, 1315, 7225, 2772, 25032, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 272, 281, 4985, 547, 4165, 1664, 7442, 6139, 322, 776, 645, 2714, 956, 692, 763, 1158, 540, 1884, 2294, 543, 2445, 17156, 814, 1279, 19832, 1312, 13680, 12439, 543, 3978, 19216, 7567, 269, 7324, 1585, 2010, 540, 25447, 14569, 267, 3284, 6139, 322, 776, 14569, 3180, 513, 2027, 1747, 1813, 547, 741, 3140, 4644, 267, 12716, 9029, 267, 543, 678, 10846, 269, 1452, 14569, 941, 2899, 1031, 547, 4558, 11955, 267, 14319, 267, 543, 824, 14453, 2472, 1282, 519, 476, 866, 628, 543, 2038, 476, 736, 628, 5553, 269, 769, 713, 3184, 267, 649, 786, 2263, 519, 1686, 540, 891, 4241, 3615, 543, 1451, 827, 1018, 2306, 873, 865, 14909, 1851, 19216, 2221, 780, 6637, 476, 273, 281, 634, 3778, 540, 7442, 6139, 322, 776, 645, 2714, 956, 692, 25721, 6139, 322, 2456, 267, 849, 1634, 607, 2447, 1235, 610, 546, 745, 1375, 1235, 267, 723, 1044, 1472, 585, 5215, 540, 1296, 269, 1717, 267, 621, 7012, 1405, 2394, 519, 476, 1240, 628, 2540, 602, 4837, 321, 27172, 2553, 2968, 4359, 2614, 547, 3132, 25144, 8032, 14569, 5078, 585, 13936, 15559, 543, 32340, 269, 1635, 519, 4571, 268, 866, 628, 2540, 267, 2527, 2504, 2409, 3366, 547, 606, 16411, 540, 1114, 6163, 543, 5546, 540, 3284, 6139, 322, 776, 14569, 269, 901, 1974, 4718, 519, 4367, 540, 10477, 17375, 3247, 11825, 267, 16560, 10297, 267, 543, 6946, 1696, 577, 902, 267, 1818, 891, 14569, 3020, 1568, 540, 1148, 780, 6637, 476, 274, 281, 17291, 4165, 1664, 7442, 6139, 322, 776, 645, 2714, 956, 692, 32575, 8076, 25447, 3284, 6139, 322, 776, 14569, 3340, 6297, 6514, 540, 1896, 1883, 2934, 269, 3689, 267, 2638, 585, 4191, 540, 2085, 971, 607, 5957, 267, 32396, 267, 610, 13365, 2059, 519, 8728, 269, 8921, 267, 1413, 585, 2377, 1601, 532, 610, 24795, 593, 519, 11480, 3294, 267, 799, 949, 5815, 922, 3312, 946, 610, 10672, 269, 3958, 267, 2015, 2188, 899, 3337, 267, 2450, 267, 543, 2681, 950, 8159, 519, 1871, 540, 513, 1880, 11480, 269, 898, 781, 1271, 547, 4063, 602, 1082, 10063, 2388, 2291, 593, 519, 2344, 267, 865, 2141, 5077, 4274, 2200, 610, 813, 20333, 619, 950, 18516, 780, 6637, 476, 275, 281, 11814, 532, 4165, 1664, 7442, 6139, 322, 776, 645, 2714, 956, 692, 8624, 22162, 25447, 3284, 6139, 322, 776, 14569, 666, 581, 513, 14785, 15908, 267, 5356, 11995, 3255, 585, 6602, 543, 1565, 269, 3509, 19216, 1445, 593, 1808, 3344, 540, 891, 14569, 267, 971, 607, 6237, 7648, 267, 2189, 4778, 267, 610, 1978, 9755, 269, 2368, 1256, 3442, 547, 4159, 741, 10070, 538, 2688, 19970, 1115, 610, 14692, 10833, 267, 2870, 11617, 11495, 10525, 602, 13686, 741, 6612, 585, 891, 8978, 3688, 780, 6637, 476, 276, 281, 7351, 10369, 12367, 543, 18880, 692, 2026, 609, 1022, 1826, 540, 2445, 1043, 267, 519, 1871, 540, 25447, 3284, 6139, 322, 776, 14569, 11385, 919, 1759, 593, 3761, 267, 3747, 267, 2783, 267, 543, 678, 10846, 269, 17497, 267, 972, 568, 2178, 1719, 538, 4686, 543, 8966, 1806, 267, 3226, 1346, 10023, 14969, 6272, 610, 16613, 4778, 269, 6732, 2344, 17541, 267, 14193, 2388, 267, 543, 10040, 6455, 2709, 15792, 4316, 585, 19216, 547, 1265, 6456, 21889, 267, 1247, 15839, 7146, 2173, 677, 541, 15945, 543, 2982, 2611, 2442, 28503, 585, 8220, 609, 8284, 12439, 780, 6637, 476, 277, 281, 595, 2130, 585, 2659, 14635, 692, 19187, 1416, 543, 5826, 616, 1898, 585, 8497, 519, 5898, 543, 8699, 540, 707, 25447, 3284, 6139, 322, 776, 11480, 4015, 269, 1879, 7829, 891, 10347, 3688, 267, 2057, 1210, 10792, 6464, 610, 31492, 2326, 602, 1522, 3441, 519, 2627, 269, 15188, 14569, 20005, 538, 513, 3579, 267, 3819, 4087, 2476, 689, 1463, 7943, 267, 543, 2015, 10115, 538, 9754, 7779, 4859, 3435, 2966, 4481, 585, 7863, 3407, 10070, 780, 1103, 3932, 267, 3695, 519, 3638, 1686, 543, 9159, 19259, 540, 25447, 3284, 6139, 322, 776, 14569, 3091, 5813, 883, 938, 7104, 2250, 1247, 3246, 9118, 3108, 540, 18399, 585, 1459, 6377, 19216, 269, 6787, 596, 2811, 513, 19023, 21689, 610, 30226, 518, 547, 519, 1158, 540, 1884, 1172, 885, 267, 18167, 4514, 883, 713, 4241, 1641, 14767, 547, 581, 513, 5963, 23429, 1995, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 301, 739, 28101, 267, 23861, 338, 267, 2025, 9413, 267, 8613, 267, 744, 15045, 267, 535, 24655, 267, 1434, 3377, 543, 3983, 267, 26717, 267, 31781, 2676, 322, 1393, 5229, 27932, 2984, 267, 20036, 1768, 8175, 2984, 267, 543, 4376, 3116, 594, 666, 1589, 540, 563, 23086, 803, 693, 789, 537, 978, 26967, 630, 520, 264, 3618, 15062, 630, 25346, 264, 2121, 454, 269, 1547, 1547, 1547, 4586, 269, 1547, 1547, 1547, 4586, 14872, 13723, 267, 5412, 476, 1789, 267, 476, 1001, 276, 257, 305, 664, 267, 14175, 267, 3619, 589, 3118, 267, 22067, 543, 7591, 6271, 4303, 4799, 2005, 7012, 1405, 3983, 2614, 602, 1250, 5609, 4926, 3323, 1951, 1456, 1586, 269, 1656, 602, 594, 1185, 3781, 2742, 637, 782, 3781, 269, 594, 9364, 12306, 1394, 538, 267, 6276, 729, 1055, 547, 519, 2713, 4055, 547, 960, 2094, 621, 729, 2469, 547, 581, 26311, 1586, 269, 7490, 267, 1223, 594, 3207, 1631, 888, 24979, 1662, 256, 4682, 519, 19711, 256, 590, 4302, 531, 256, 4682, 1250, 1591, 7483, 267, 4553, 676, 513, 6360, 9963, 256, 21115, 600, 256, 4682, 519, 4365, 5925, 2336, 21589, 724, 269, 1656, 713, 5949, 7466, 563, 22832, 729, 2324, 1802, 560, 686, 3585, 950, 594, 3893, 909, 269, 654, 550, 547, 1491, 570, 27462, 3544, 543, 646, 4941, 1100, 851, 540, 519, 4764, 267, 855, 594, 8913, 13949, 1864, 1524, 560, 4202, 543, 4945, 539, 519, 4945, 518, 267, 543, 646, 3893, 519, 5048, 269, 1261, 890, 324, 9364, 267, 1287, 18188, 1394, 3330, 269, 594, 3513, 7017, 585, 602, 269, 630, 30952, 649, 1336, 513, 8559, 538, 519, 12269, 543, 3893, 1864, 513, 1732, 3802, 8094, 296, 554, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 4888, 2316, 27309, 1299, 23333, 28421, 2316, 13993, 2464, 1315, 645, 2714, 956, 1315, 4165, 1664, 7442, 6139, 322, 776, 645, 2714, 956, 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, 5331, 952, 596, 1223, 723, 513, 8773, 3659, 945, 6743, 1175, 899, 513, 1483, 1268, 256, 4270, 267, 972, 616, 3549, 856, 972, 1318, 1631, 2324, 593, 2870, 2706, 3076, 601, 833, 11608, 1572, 834, 1910, 660, 4854, 3425, 1701, 1452, 11608, 616, 865, 10853, 602, 789, 666, 1256, 1413, 899, 7260, 6801, 610, 707, 5172, 2206, 619, 256, 1809, 1946, 1131, 4896, 1616, 513, 8773, 14609, 344, 286, 1656, 1018, 2306, 891, 11608, 3100, 865, 1483, 286, 2913, 781, 4685, 883, 875, 938, 12058, 13498, 1919, 543, 2263, 713, 4241, 1158, 1927, 2439, 5575, 267, 1577, 781, 2911, 827, 1018, 5042, 6530, 568, 269, 15465, 16895, 1353, 875, 649, 1589, 267, 1451, 267, 3314, 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 ]
[ 4797, 972, 676, 519, 595, 1933, 344, 4139, 4659, 269, 595, 1933, 344, 1261, 23032, 2527, 11401, 543, 1353, 2516, 543, 5718, 3506, 602, 23185, 513, 18756, 3350, 630, 1721, 6705, 543, 535, 529, 12516, 4148, 330, 264, 543, 5491, 18787, 269, 634, 1764, 540, 519, 3350, 729, 5433, 2066, 519, 3057, 527, 1307, 543, 3564, 563, 290, 15811, 632, 670, 826, 1188, 630, 6245, 277, 1700, 2735, 276, 1070, 2663, 21965, 1684, 615, 1399, 267, 513, 6739, 19366, 547, 4516, 267, 729, 513, 11636, 2482, 7826, 19191, 585, 1514, 5126, 269, 4173, 2014, 585, 17374, 1436, 568, 4867, 1354, 519, 28912, 269, 2701, 3459, 513, 14886, 1222, 5600, 538, 17842, 538, 476, 4350, 275, 267, 799, 3177, 1426, 267, 12062, 267, 7802, 2073, 543, 1514, 2238, 547, 519, 4057, 543, 32014, 269, 25021, 547, 1290, 828, 332, 699, 267, 14411, 267, 609, 1200, 9393, 538, 476, 3707, 278, 267, 1352, 3459, 8496, 30358, 5600, 607, 606, 19191, 2146, 609, 513, 6917, 19980, 25544, 543, 513, 2866, 8998, 269, 4173, 2146, 3459, 22205, 20577, 267, 543, 609, 519, 6667, 540, 15352, 623, 3780, 2473, 2862, 267, 621, 2968, 513, 2146, 540, 20577, 543, 8149, 13767, 756, 622, 2482, 5443, 543, 2021, 8026, 17319, 6710, 269, 2991, 28912, 4083, 621, 2919, 606, 3961, 607, 513, 2482, 3235, 3380, 658, 2146, 609, 519, 5939, 4567, 540, 513, 2387, 21504, 7681, 540, 4168, 21705, 18269, 898, 7550, 519, 11636, 1514, 16786, 540, 28912, 4083, 267, 15469, 519, 3401, 8811, 335, 540, 2021, 267, 543, 17947, 519, 22175, 17790, 11873, 269, 4653, 621, 14721, 8651, 476, 2537, 2361, 8075, 538, 3670, 2477, 563, 1607, 19980, 4301, 4484, 540, 15352, 6754, 17886, 538, 476, 3192, 272, 267, 609, 8763, 4704, 547, 2372, 611, 571, 2471, 24982, 1323, 7224, 267, 568, 1289, 547, 957, 585, 2804, 5126, 269, 898, 26141, 849, 606, 2038, 13099, 531, 1289, 547, 2149, 519, 1604, 563, 3682, 11687, 656, 31886, 540, 4914, 13485, 454, 7628, 519, 1101, 3368, 540, 519, 14206, 2540, 519, 2136, 267, 29842, 534, 267, 543, 3465, 2421, 614, 1014, 932, 11699, 23032, 4914, 13485, 538, 3624, 543, 11992, 269, 1452, 941, 1360, 1713, 4238, 799, 26017, 519, 3007, 267, 1489, 267, 543, 9345, 540, 7249, 2958, 725, 2066, 519, 2197, 269, 2353, 1614, 29559, 1185, 1804, 543, 3608, 2021, 26141, 3906, 5885, 519, 5692, 4674, 563, 2026, 519, 476, 3422, 271, 338, 14059, 267, 1896, 1713, 4413, 328, 5505, 9250, 31886, 540, 519, 20789, 1417, 878, 267, 15520, 11440, 2065, 7516, 540, 891, 5692, 3646, 269, 5565, 540, 891, 5830, 616, 912, 1103, 1840, 267, 2622, 2782, 4083, 5280, 1930, 7262, 4064, 547, 519, 3441, 2944, 676, 3909, 2462, 582, 787, 543, 10168, 269, 3624, 267, 1141, 1312, 519, 2136, 5783, 543, 519, 29842, 753, 1185, 1713, 13485, 267, 729, 6806, 676, 519, 19797, 7169, 269, 634, 28160, 345, 2747, 540, 4000, 538, 519, 3735, 476, 4198, 271, 338, 543, 2038, 476, 3422, 271, 338, 1201, 1090, 539, 5692, 1533, 326, 625, 269, 1715, 569, 4830, 3979, 2477, 1131, 1100, 3476, 581, 13856, 676, 6628, 740, 333, 922, 5449, 10125, 563, 4692, 6598, 29842, 534, 13485, 454, 6524, 519, 476, 3422, 271, 338, 519, 5692, 3919, 540, 519, 5783, 540, 4789, 538, 4516, 729, 1572, 519, 17030, 776, 5980, 540, 519, 5783, 540, 4789, 538, 4516, 267, 610, 9049, 6717, 269, 769, 1840, 547, 4095, 10821, 3506, 543, 6469, 13485, 267, 621, 13950, 4914, 13485, 538, 918, 836, 571, 267, 5087, 3127, 282, 7009, 534, 2701, 978, 630, 6533, 1572, 12968, 534, 1070, 3624, 282, 4571, 11219, 3253, 267, 1298, 1042, 593, 18491, 30377, 282, 543, 930, 4130, 4610, 563, 300, 583, 783, 5539, 543, 22524, 11163, 269, 1809, 585, 519, 4128, 4330, 1657, 2443, 1007, 4413, 328, 3098, 267, 519, 19479, 540, 3624, 267, 3979, 2022, 12258, 11102, 1143, 2443, 519, 29842, 534, 13416, 3459, 13576, 2476, 689, 4914, 13485, 538, 519, 2038, 476, 3422, 271, 338, 269, 634, 12572, 7432, 15304, 729, 519, 29842, 534, 6837, 540, 4864, 476, 3422, 274, 267, 799, 4547, 547, 17842, 513, 8536, 30896, 734, 321, 25615, 267, 23464, 267, 543, 2482, 15161, 734, 5228, 29842, 534, 1019, 665, 525, 525, 1472, 519, 1158, 547, 2911, 827, 5692, 269, 3683, 28465, 8536, 1004, 14095, 32712, 23516, 25052, 585, 519, 6679, 3028, 267, 799, 729, 13739, 593, 8613, 519, 1985, 1554, 269, 634, 29842, 534, 6837, 16358, 1242, 519, 3395, 9636, 609, 1018, 729, 2938, 547, 581, 513, 1982, 15122, 543, 533, 11189, 2065, 2186, 540, 5692, 267, 1141, 1101, 8996, 1004, 1705, 519, 3450, 543, 12180, 267, 1247, 3791, 8996, 1004, 1705, 519, 6947, 543, 1073, 324, 3539, 269, 634, 1007, 5075, 729, 834, 332, 583, 783, 5539, 543, 22524, 11163, 538, 519, 10610, 540, 2441, 2437, 799, 3357, 547, 581, 1572, 18909, 269, 634, 28516, 543, 1558, 1886, 7035, 753, 540, 519, 29842, 534, 1209, 542, 1558, 585, 1079, 4374, 1991, 547, 519, 6837, 538, 5507, 267, 14411, 267, 543, 2322, 1927, 513, 3948, 593, 18909, 269, 4256, 4126, 729, 602, 29842, 753, 1131, 1118, 5692, 606, 3486, 11450, 563, 8512, 2996, 538, 5692, 269, 769, 519, 2110, 2196, 267, 18909, 1185, 3078, 2164, 585, 519, 29842, 534, 5783, 540, 4516, 269, 589, 5859, 729, 9250, 547, 6318, 1269, 272, 2929, 585, 513, 1158, 5692, 2508, 269, 769, 476, 3422, 279, 8225, 31967, 8678, 609, 824, 29842, 534, 31967, 5001, 693, 513, 30340, 996, 10985, 538, 4789, 547, 1865, 875, 18909, 1522, 581, 12250, 1242, 269, 769, 476, 3192, 274, 8225, 30896, 547, 513, 1007, 29842, 534, 3486, 2497, 267, 519, 29842, 534, 13693, 894, 7027, 267, 5280, 1711, 519, 834, 8512, 2996, 538, 17030, 257, 1982, 267, 799, 814, 1044, 693, 519, 2295, 540, 8225, 29842, 534, 5692, 5752, 2479, 2094, 269, 4706, 6240, 729, 602, 834, 11004, 568, 855, 835, 5692, 538, 782, 519, 1158, 2437, 3838, 676, 834, 1492, 1158, 17253, 4168, 2146, 8487, 1103, 3069, 267, 16890, 538, 17030, 5921, 602, 519, 4759, 13039, 540, 519, 29842, 534, 4004, 542, 1131, 2697, 5692, 14422, 1927, 538, 11450, 269, 769, 1455, 2259, 267, 29842, 534, 8387, 538, 834, 17647, 27677, 257, 2477, 6069, 3785, 585, 799, 29842, 534, 8387, 538, 834, 17647, 257, 2477, 1336, 2200, 269, 1703, 729, 849, 513, 16434, 834, 14179, 2863, 32580, 538, 5692, 257, 1982, 267, 13175, 538, 476, 2735, 277, 267, 17929, 7606, 1223, 4196, 18246, 693, 741, 1378, 13258, 585, 513, 1032, 610, 1079, 693, 519, 27592, 540, 606, 29842, 534, 7649, 5939, 269, 1656, 1082, 8225, 1019, 665, 525, 525, 24574, 1229, 609, 18246, 1019, 665, 525, 525, 269, 12079, 6053, 267, 519, 2856, 540, 5692, 607, 4413, 1470, 267, 834, 338, 2056, 2580, 729, 8854, 282, 5692, 729, 14376, 543, 7858, 7007, 563, 5715, 8817, 5692, 8041, 269, 1403, 8225, 29842, 534, 3401, 4956, 1996, 2025, 4485, 547, 26164, 543, 7674, 519, 20227, 267, 1447, 7986, 29842, 753, 941, 711, 865, 2386, 269, 634, 2243, 540, 875, 519, 5783, 1058, 581, 513, 29966, 3919, 729, 1932, 1271, 547, 581, 4956, 2899, 585, 782, 269, 1306, 538, 519, 476, 6642, 271, 338, 267, 950, 27685, 25025, 21616, 609, 519, 5783, 781, 4013, 29966, 2486, 2813, 741, 1378, 267, 865, 8225, 29842, 534, 27685, 25025, 538, 519, 476, 3422, 271, 338, 5051, 5795, 741, 19367, 543, 13344, 547, 1018, 519, 16890, 538, 17030, 5604, 3357, 547, 1289, 834, 5715, 8817, 17030, 589, 2102, 2886, 2580, 610, 594, 7246, 781, 269, 12344, 519, 1034, 17736, 545, 6681, 29842, 534, 594, 7246, 729, 519, 8225, 7936, 267, 18005, 6896, 538, 476, 3192, 280, 267, 540, 519, 3162, 1977, 17030, 5980, 269, 769, 519, 7036, 532, 9764, 540, 4937, 14271, 617, 585, 476, 2735, 280, 267, 29832, 745, 660, 1194, 623, 8379, 8387, 4718, 2370, 1747, 585, 834, 1492, 17195, 540, 3309, 267, 543, 693, 2053, 28836, 267, 24866, 257, 540, 513, 3099, 540, 5692, 3906, 563, 288, 1007, 1445, 585, 5692, 269, 634, 2063, 2489, 23122, 540, 519, 9049, 6717, 22283, 1524, 538, 476, 3422, 280, 269, 898, 1631, 814, 1152, 513, 6101, 6228, 2094, 621, 814, 26692, 540, 1585, 1714, 326, 9313, 543, 1439, 578, 906, 269, 769, 476, 3192, 272, 950, 519, 5358, 9730, 5143, 4937, 14271, 617, 602, 834, 1492, 5783, 6818, 585, 5692, 2437, 621, 1031, 519, 2165, 547, 1611, 834, 25791, 267, 3872, 267, 610, 27685, 673, 18591, 267, 1547, 1547, 1547, 2436, 621, 581, 2673, 693, 1688, 610, 538, 6552, 4025, 4799, 763, 2136, 5783, 454, 763, 2136, 5783, 540, 4516, 267, 950, 621, 729, 8547, 538, 476, 4572, 276, 267, 4718, 922, 5692, 607, 2324, 2509, 4168, 9322, 1851, 14308, 1218, 267, 543, 2679, 513, 1175, 4168, 4516, 269, 24695, 961, 529, 5794, 28496, 11828, 891, 19647, 538, 606, 2376, 2139, 547, 772, 540, 570, 3755, 269, 2991, 519, 476, 3422, 271, 338, 267, 1352, 13187, 267, 11776, 267, 18371, 1143, 267, 543, 931, 2615, 1436, 827, 519, 5939, 26141, 2126, 540, 3689, 8315, 9082, 10032, 519, 2192, 16272, 540, 519, 2186, 540, 3703, 2861, 267, 20789, 1417, 878, 4168, 4516, 602, 519, 27428, 1185, 8179, 269, 769, 1200, 1433, 5783, 609, 519, 31522, 540, 513, 13780, 267, 5794, 28496, 6257, 519, 5783, 26141, 1007, 2631, 540, 5692, 689, 519, 476, 3422, 271, 338, 593, 281, 968, 21156, 540, 519, 5939, 605, 8010, 532, 519, 22258, 547, 519, 1158, 543, 10912, 4516, 547, 2441, 267, 789, 4300, 4705, 547, 519, 5939, 547, 2048, 4289, 523, 547, 519, 1158, 685, 892, 630, 26297, 1916, 298, 987, 25978, 670, 1442, 514, 630, 4489, 271, 1700, 1960, 274, 1040, 28270, 670, 1442, 514, 26141, 1272, 30833, 519, 2136, 5783, 26141, 556, 6253, 9722, 540, 5692, 563, 763, 8250, 540, 6396, 626, 28773, 267, 670, 1442, 514, 729, 4535, 543, 6659, 538, 3624, 269, 2311, 519, 2085, 540, 476, 1626, 1352, 3357, 547, 4516, 547, 2347, 1164, 1153, 267, 543, 12236, 606, 15938, 4110, 693, 772, 6195, 269, 2701, 1287, 6026, 538, 606, 4095, 10821, 1153, 585, 1614, 1296, 2443, 1141, 267, 607, 1352, 5206, 267, 968, 296, 2968, 1360, 14220, 693, 519, 4539, 540, 1312, 5939, 543, 2229, 4507, 3823, 4095, 1004, 267, 741, 6561, 267, 543, 741, 2069, 3034, 1103, 476, 4350, 277, 267, 950, 519, 2136, 5783, 540, 4516, 17101, 519, 3921, 1588, 540, 2021, 267, 1352, 19801, 607, 835, 540, 519, 1101, 4807, 1053, 693, 2506, 28609, 5441, 269, 2701, 1287, 12479, 547, 2132, 547, 3624, 267, 1141, 1200, 3993, 729, 1869, 2324, 630, 615, 4651, 1185, 5747, 1070, 855, 729, 15286, 676, 519, 5545, 13567, 540, 29258, 269, 5502, 267, 1352, 2968, 519, 3057, 527, 1307, 6237, 23122, 540, 519, 9906, 4168, 11873, 630, 306, 13967, 1040, 2701, 729, 1454, 6766, 676, 20999, 774, 584, 2006, 267, 606, 3979, 12677, 31188, 1014, 693, 20999, 2160, 267, 543, 835, 540, 1010, 24616, 18423, 609, 1200, 11014, 281, 968, 2791, 616, 2760, 2922, 2394, 972, 568, 4986, 602, 666, 1118, 596, 12922, 3034, 9515, 8452, 607, 513, 29966, 538, 590, 747, 10224, 267, 851, 540, 968, 10403, 3624, 2223, 538, 476, 3707, 271, 267, 543, 676, 476, 3707, 276, 1352, 543, 1200, 3993, 941, 519, 1152, 4914, 10986, 538, 1200, 2749, 563, 5475, 519, 2112, 1352, 3576, 606, 6905, 9663, 331, 965, 547, 1353, 538, 1715, 3840, 267, 1141, 1352, 12236, 513, 667, 9950, 323, 269, 693, 12052, 543, 3576, 6030, 693, 5742, 634, 1670, 12054, 2435, 269, 2701, 8120, 547, 3624, 267, 543, 729, 4166, 2713, 538, 519, 5790, 540, 31474, 1143, 538, 519, 4658, 779, 6243, 540, 3624, 269, 2701, 3357, 547, 1745, 519, 4222, 540, 4457, 32659, 1996, 7262, 619, 267, 513, 1267, 538, 851, 267, 1352, 5156, 267, 540, 519, 14286, 540, 7262, 29966, 4640, 269, 901, 1995, 968, 577, 718, 1263, 539, 543, 7318, 1250, 2898, 2631, 540, 5692, 25340, 267, 865, 602, 594, 1665, 713, 607, 513, 2101, 7432, 1448, 585, 1312, 4938, 566, 543, 10182, 1848, 4825, 9506, 547, 4516, 538, 476, 4198, 272, 267, 1352, 5795, 2178, 31886, 540, 519, 4413, 1308, 2250, 799, 606, 13499, 1082, 269, 2701, 5051, 6956, 519, 5783, 26141, 5692, 607, 5466, 519, 1158, 26141, 21440, 543, 2804, 31716, 269, 3371, 26141, 1200, 1650, 540, 1200, 31145, 563, 257, 298, 987, 25978, 670, 1442, 514, 28818, 257, 538, 17842, 568, 3957, 1310, 1200, 269, 898, 781, 538, 519, 25610, 540, 2349, 3233, 543, 1975, 611, 2088, 563, 18128, 13370, 673 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7844, 454, 5425, 24433, 779, 7844, 667, 1090, 5597, 8555, 1407, 4804, 27159, 585, 20231, 4841, 3040, 4107, 1271, 14422, 585, 11483, 24433, 616, 5355, 1565, 4093, 543, 14656, 519, 9740, 7934, 3040, 11483, 24433, 9927, 22337, 660, 1144, 24543, 25943, 3427, 689, 513, 1970, 7900, 968, 293, 892, 1153, 538, 513, 1164, 1790, 20191, 8378, 547, 513, 1164, 7900, 968, 288, 892, 1153, 3040, 21035, 9142, 540, 8551, 1299, 7070, 729, 519, 1283, 15951, 1647, 1153, 538, 645, 992, 731, 6019, 267, 18919, 630, 821, 540, 4102, 1153, 13102, 538, 519, 2197, 264, 3040, 21988, 1491, 1478, 543, 7004, 540, 606, 14642, 576, 7637, 6019, 267, 8419, 1153, 689, 513, 968, 291, 892, 1153, 547, 606, 968, 288, 892, 1153, 538, 476, 274, 1296, 269, 11483, 24433, 814, 9738, 519, 968, 288, 892, 3446, 585, 476, 275, 1296, 3040, 11483, 24433, 779, 1995, 609, 13497, 5355, 1565, 4093, 814, 8507, 538, 3255, 547, 4228, 21613, 1107, 634, 1533, 540, 18518, 5697, 11483, 24433, 547, 1491, 1478, 476, 274, 17528, 267, 2757, 8664, 3506, 538, 4095, 24550, 1107, 9628, 4139, 25943, 12140, 5697, 11483, 24433, 547, 1491, 936, 476, 275, 896, 704, 14127, 3506, 538, 9628, 454, 5425, 24433, 10312, 525, 593, 14288, 19793, 22777, 11483, 24433, 814, 6913, 14222, 2164, 609, 782, 1053, 910, 3226, 609, 1970, 13867, 543, 12102, 1053, 269, 3962, 1016, 1790, 641, 1637, 540, 11483, 24433, 1053, 856, 704, 13257, 1533, 25939, 585, 2542, 267, 1603, 543, 2979, 538, 519, 2829, 538, 799, 649, 7500, 269, 11483, 24433, 2875, 1016, 1790, 641, 2827, 7335, 5675, 4569, 2997, 326, 269, 7089, 540, 20587, 720, 18745, 11483, 24433, 17104, 267, 4563, 267, 674, 12435, 543, 661, 17247, 1053, 856, 704, 11526, 519, 1533, 676, 1341, 1556, 260, 1341, 277, 260, 1341, 278, 260, 11483, 24433, 6519, 1053, 543, 2698, 2551, 856, 704, 11526, 519, 1533, 676, 1341, 277, 260, 1341, 274, 260, 1341, 2420, 260, 1341, 275, 260, 1341, 1556, 260, 11483, 24433, 17104, 1053, 856, 704, 11526, 519, 1533, 676, 11872, 281, 674, 12435, 815, 1053, 27216, 585, 1863, 610, 4389, 12899, 661, 17247, 815, 2296, 1893, 6267, 454, 19465, 1715, 12140, 1284, 786, 4020, 6216, 1007, 6703, 538, 700, 2378, 599, 8291, 1510, 1651, 584, 2590, 1022, 11411, 593, 27710, 16558, 269, 3040, 4414, 11197, 267, 11078, 2754, 547, 11483, 24433, 267, 543, 513, 3084, 22497, 1153, 17354, 630, 2908, 4070, 267, 24740, 267, 20073, 687, 264, 3040, 4595, 476, 1001, 271, 267, 4414, 11197, 814, 2919, 476, 736, 3506, 543, 936, 476, 272, 269, 476, 274, 2929, 4009, 3952, 3040, 30216, 4070, 2359, 2533, 267, 6703, 3435, 267, 14104, 3435, 3040, 3416, 999, 5812, 1374, 282, 1942, 1852, 282, 15569, 282, 6791, 282, 543, 1569, 547, 3060, 540, 1483, 339, 832, 543, 25255, 3040, 17721, 5685, 3496, 17796, 547, 2628, 585, 1007, 3506, 630, 7224, 1942, 547, 3454, 2628, 619, 264, 3040, 3557, 6361, 7308, 19603, 11120, 1988, 630, 1015, 910, 1428, 6515, 829, 1153, 994, 5425, 24433, 779, 4518, 538, 17039, 3040, 11483, 24433, 4867, 13333, 1079, 3506, 538, 8235, 8176, 267, 13234, 676, 519, 25763, 17039, 25943, 7690, 3040, 769, 4864, 476, 1001, 274, 267, 11483, 24433, 786, 1930, 3506, 538, 15506, 517, 22748, 613, 543, 1744, 516, 557, 1636, 267, 13234, 676, 519, 3162, 17039, 25943, 7690, 543, 519, 1744, 516, 557, 1636, 25943, 7690, 267, 6606, 563, 5425, 24433, 779, 17496, 585, 700, 2378, 599, 8291, 634, 700, 2378, 599, 8291, 25943, 7690, 543, 11483, 24433, 786, 1711, 513, 918, 268, 1321, 1062, 13988, 547, 519, 8111, 23734, 550, 781, 12414, 19925, 4643, 281, 1107, 1107, 1107, 476, 274, 8805, 4926, 630, 330, 268, 279, 3345, 267, 737, 268, 279, 3162, 267, 4400, 3427, 264, 1546, 1943, 26257, 5303, 538, 519, 4147, 7741, 2657, 543, 25682, 16890, 4721, 4578, 12454, 7844, 6936, 13505, 5004, 1299, 10055, 1464, 454, 12552, 256, 7490, 3346, 803, 585, 811, 9623, 281, 20289, 27596, 10615, 540, 4886, 1299, 13751, 16457, 585, 17039, 476, 18597, 269, 476, 30130, 269, 476, 8064, 275, 275, 970, 269, 476, 6200, 1496, 16942, 6870, 316, 635, 0, 20175, 540, 32163, 1049, 32018, 454, 305, 1961, 4603, 568, 835, 540, 519, 2035, 538, 6530, 602, 4255, 2436, 649, 616, 4535, 547, 581, 2576, 610, 8032, 547, 581, 2576, 269, 1772, 621, 29916, 531, 610, 32638, 888, 763, 1034, 4583, 4603, 540, 713, 1826, 568, 519, 18628, 29277, 4603, 5342, 538, 476, 3192, 274, 676, 2098, 12494, 16037, 269, 1261, 4941, 547, 1265, 856, 2436, 519, 30468, 4080, 1851, 22651, 538, 1977, 30813, 729, 1813, 547, 519, 8909, 2065, 14789, 540, 519, 22651, 610, 1185, 811, 547, 798, 609, 519, 7890, 1604, 269, 3571, 2319, 14477, 8655, 15321, 1053, 607, 513, 26956, 543, 513, 9856, 269, 2991, 476, 277, 2395, 267, 789, 1185, 547, 3247, 519, 4603, 1813, 547, 3978, 2152, 5185, 676, 519, 14586, 543, 22651, 685, 5208, 269, 901, 568, 513, 2312, 1383, 540, 5107, 8655, 547, 873, 936, 337, 4575, 8726, 29916, 789, 1185, 269, 1452, 616, 18628, 1053, 945, 941, 14477, 8655, 547, 581, 513, 26956, 610, 513, 9856, 269, 6423, 519, 3017, 1175, 538, 476, 277, 2395, 2336, 2467, 616, 824, 6901, 543, 2090, 602, 6166, 519, 6708, 540, 32638, 3310, 269, 2290, 4603, 3322, 1453, 1909, 25178, 532, 513, 1153, 267, 835, 4730, 513, 4116, 543, 1866, 1053, 269, 2311, 519, 1439, 540, 519, 3014, 267, 519, 835, 4730, 513, 4116, 1185, 4121, 811, 269, 1703, 729, 2604, 538, 1373, 513, 4116, 4171, 1292, 1909, 729, 6616, 811, 982, 1053, 269, 634, 3510, 8032, 873, 547, 1451, 543, 13789, 9921, 569, 563, 5194, 4603, 8655, 1053, 693, 4351, 538, 513, 22064, 2875, 1362, 543, 513, 10010, 2875, 1362, 269, 634, 1382, 2319, 5143, 3610, 602, 519, 1053, 941, 22064, 610, 10010, 269, 1879, 1053, 1969, 539, 21354, 267, 3610, 685, 6547, 941, 4625, 1114, 269, 11334, 941, 3461, 609, 22064, 1053, 685, 4737, 11276, 2623, 607, 621, 729, 2938, 607, 513, 851, 540, 1373, 22064, 269, 11334, 941, 703, 26985, 609, 10010, 1053, 685, 4737, 11276, 2623, 607, 621, 729, 2938, 607, 513, 1129, 540, 3668, 540, 2463, 543, 9015, 563, 2005, 568, 513, 3532, 5048, 585, 721, 547, 3314, 269, 1284, 1480, 7919, 616, 1514, 7068, 269, 3776, 1514, 5872, 11225, 938, 1582, 268, 1211, 640, 267, 1582, 2914, 2180, 267, 8404, 543, 1082, 824, 1919, 269, 1403, 596, 1521, 1004, 1472, 596, 607, 14586, 609, 7453, 3652, 267, 789, 786, 13789, 899, 14586, 281, 12809, 267, 22347, 1170, 633, 267, 543, 1629, 582, 17300, 269, 3683, 942, 267, 596, 607, 519, 9856, 786, 1831, 10728, 267, 7682, 633, 543, 22233, 269, 634, 7934, 1063, 519, 26956, 543, 519, 9856, 11097, 839, 607, 942, 4422, 676, 269, 634, 4161, 568, 267, 649, 1810, 1406, 917, 950, 713, 568, 8345, 563, 763, 18628, 29277, 4603, 1185, 3173, 11287, 543, 711, 6005, 519, 2242, 269, 29277, 619, 543, 22651, 941, 711, 4628, 3222, 540, 519, 7004, 789, 941, 2469, 998, 2394, 789, 941, 3181, 4361, 539, 269, 769, 938, 1272, 267, 519, 1909, 7934, 568, 711, 607, 3665, 607, 513, 26956, 543, 513, 9856, 543, 649, 1810, 1406, 723, 1022, 24319, 269, 1284, 1810, 1406, 5469, 519, 2242, 8345, 7444, 936, 942, 543, 875, 519, 5107, 1689, 721, 7930, 936, 942, 563, 1607, 568, 1946, 649, 991, 606, 6662, 16080, 3187, 945, 568, 8036, 547, 7747, 543, 5469, 1004, 4205, 543, 1205, 513, 4195, 5133, 538, 875, 649, 2170, 609, 1004, 1472, 721, 269, 1879, 649, 960, 609, 513, 1007, 7817, 267, 649, 6108, 513, 2603, 540, 942, 11287, 873, 538, 741, 3232, 1272, 267, 2436, 621, 568, 693, 1753, 610, 538, 519, 5604, 269, 898, 779, 5863, 875, 1454, 5813, 621, 2488, 269, 10705, 1250, 7218, 2307, 803, 968, 8867, 1695, 267, 875, 1705, 596, 917, 286, 1215, 1705, 596, 1265, 856, 9495, 1358, 616, 865, 26224, 547, 741, 5872, 602, 789, 1100, 3476, 5469, 269, 1323, 16080, 3187, 1281, 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 ]
[ 540, 4057, 9819, 1983, 269, 3958, 267, 606, 16214, 11676, 878, 729, 2919, 1759, 593, 519, 960, 540, 519, 2817, 7027, 540, 11334, 540, 9119, 630, 301, 6311, 300, 1040, 5637, 540, 519, 6128, 5705, 3949, 540, 519, 654, 296, 2969, 5889, 4083, 941, 9916, 1210, 519, 16214, 11676, 878, 267, 607, 941, 519, 15815, 582, 27294, 269, 11778, 6700, 602, 519, 654, 296, 2969, 5889, 4083, 3688, 941, 4617, 652, 538, 519, 2127, 540, 6713, 543, 11310, 23830, 6466, 519, 15815, 582, 27294, 941, 16999, 538, 891, 2127, 269, 28454, 616, 5941, 1369, 519, 2796, 540, 28400, 14445, 1049, 4879, 543, 6128, 1565, 9124, 563, 19733, 2073, 12409, 6530, 2073, 16214, 2073, 31727, 4152, 2073, 9119, 2073, 1284, 577, 338, 2401, 10572, 19793, 22777, 4530, 2073, 19556, 2702, 2073, 13281, 2073, 4804, 16981, 1453, 2073, 5369, 6248, 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 ]
[ 952, 513, 7382, 568, 711, 5265, 9738, 609, 1434, 1216, 2298, 543, 7123, 5210, 269, 12551, 949, 1205, 14129, 609, 606, 11515, 534, 7382, 267, 610, 609, 20025, 7382, 29982, 269, 595, 31500, 8127, 616, 3226, 12155, 547, 15495, 971, 607, 594, 577, 269, 24664, 1176, 267, 782, 15495, 616, 1521, 762, 952, 9575, 3533, 269, 1703, 616, 1082, 6527, 2139, 693, 4620, 8637, 547, 1521, 891, 15495, 267, 971, 607, 16797, 595, 675, 563, 307, 1779, 1018, 1281, 707, 521, 338, 333, 1611, 707, 2199, 3165, 11285, 585, 10372, 952, 596, 5469, 707, 804, 1144, 8127, 814, 4191, 540, 2068, 269, 8376, 666, 581, 5189, 547, 519, 7382, 950, 596, 1039, 4376, 602, 814, 711, 1044, 5265, 19345, 610, 27170, 1441, 267, 1519, 2661, 4224, 267, 27712, 267, 543, 3165, 269, 634, 1655, 6604, 568, 1697, 1416, 543, 7738, 540, 4376, 1007, 2469, 883, 519, 7382, 267, 607, 1134, 607, 1818, 2386, 602, 596, 1683, 2298, 1426, 267, 2973, 1434, 1216, 267, 543, 1697, 7382, 29982, 563, 4415, 891, 2241, 3268, 267, 596, 666, 2972, 519, 31070, 540, 707, 804, 1144, 8127, 543, 922, 14609, 625, 585, 1296, 547, 2097, 269, 16440, 1250, 2012, 267, 4757, 267, 543, 3896, 538, 713, 11422, 585, 519, 1985, 942, 594, 6085, 269, 9484, 476, 2767, 267, 16065, 27752, 269, 1548, 1281, 513, 804, 1144, 3165, 798, 585, 606, 606, 655, 821, 476, 1626, 267, 476, 271, 269, 4728, 476, 1428, 267, 476, 271, 563, 21938, 476, 2641, 267, 476, 271, 563, 290, 31500, 3165, 798, 711, 991, 513, 7382, 4904, 609, 782, 5686, 540, 3889, 2705, 952, 596, 8359, 547, 723, 513, 7382, 4904, 609, 4224, 621, 1131, 581, 620, 2431, 1317, 804, 12495, 2067, 7226, 568, 1472, 14147, 18625, 269, 634, 3017, 568, 602, 538, 519, 5836, 952, 513, 3165, 23297, 547, 621, 666, 7669, 856, 883, 519, 2647, 1930, 705, 903, 338, 540, 519, 5836, 267, 1141, 538, 513, 7382, 621, 3112, 798, 713, 865, 711, 269, 634, 32686, 1076, 17785, 1323, 655, 821, 267, 9980, 659, 2742, 20660, 22712, 878, 565, 528, 267, 666, 12701, 922, 17895, 8163, 593, 2392, 908, 543, 616, 1572, 4418, 4177, 17895, 8163, 269, 898, 814, 519, 2702, 547, 29097, 824, 606, 655, 2158, 543, 27712, 269, 898, 3340, 2178, 26149, 13859, 676, 10896, 267, 610, 7920, 1166, 2803, 1417, 8654, 540, 693, 2547, 476, 277, 26334, 829, 20645, 269, 634, 32686, 1076, 17785, 1323, 655, 821, 1058, 581, 6854, 538, 513, 7382, 609, 7899, 540, 4055, 267, 607, 621, 30242, 547, 1332, 909, 547, 269, 634, 522, 3250, 30213, 804, 1144, 8127, 630, 8649, 874, 760, 337, 542, 522, 3250, 30213, 1070, 849, 1634, 607, 519, 7301, 829, 1529, 320, 804, 1144, 8127, 610, 1455, 804, 1144, 8127, 267, 568, 513, 7286, 3165, 10362, 547, 519, 1920, 25048, 8809, 5090, 2801, 267, 799, 2882, 804, 1144, 325, 8460, 543, 2481, 1345, 8460, 269, 2549, 874, 760, 337, 542, 522, 3250, 30213, 616, 1336, 538, 1114, 4778, 267, 4470, 593, 1141, 789, 616, 4092, 269, 1280, 1383, 267, 3109, 2549, 874, 760, 337, 542, 522, 3250, 30213, 609, 3043, 13164, 666, 581, 1336, 2282, 7187, 5245, 563, 763, 595, 31500, 3165, 568, 513, 2731, 1434, 3903, 585, 707, 1101, 6070, 4248, 4620, 269, 1358, 616, 25836, 543, 865, 1454, 4443, 547, 1491, 1416, 540, 982, 824, 6070, 4248, 3165, 5079, 693, 707, 2199, 4620, 4558, 269, 1306, 1279, 607, 596, 1832, 513, 2673, 3750, 593, 519, 1216, 6724, 4180, 707, 6070, 4248, 2837, 267, 24952, 543, 11682, 616, 1434, 1287, 707, 3165, 1058, 7639, 585, 3833, 930, 942, 563, 8170, 1576, 596, 1590, 4783, 707, 7382, 25656, 4180, 519, 9436, 4783, 814, 2196, 922, 1576, 267, 713, 2376, 17648, 596, 723, 2907, 2944, 865, 269, 1403, 596, 616, 711, 2386, 1018, 519, 21193, 4088, 18888, 568, 1287, 594, 21909, 596, 979, 1224, 1250, 2376, 593, 519, 1888, 269, 634, 13985, 10740, 21193, 4088, 18888, 543, 1946, 621, 568, 865, 1271, 269, 8786, 595, 31500, 8127, 2154, 6070, 4248, 547, 7639, 269, 4256, 2067, 7226, 568, 538, 519, 5836, 269, 634, 5836, 568, 6070, 4248, 269, 5269, 2386, 596, 798, 711, 1747, 595, 31500, 3165, 538, 513, 15195, 16983, 610, 596, 786, 6146, 707, 3165, 563, 290, 31500, 8127, 991, 547, 581, 538, 513, 6070, 4248, 7382, 10750, 543, 2241, 269, 595, 31500, 3165, 676, 2470, 616, 711, 883, 10977, 1279, 9883, 269, 1358, 899, 547, 7669, 909, 543, 1524, 543, 21286, 513, 3787, 543, 596, 786, 10355, 6952, 873, 10977, 513, 1279, 3845, 23276, 269, 901, 2306, 873, 1390, 10457, 585, 513, 16434, 2450, 7382, 269, 2290, 2262, 540, 13657, 594, 1131, 2285, 568, 798, 711, 1747, 513, 804, 1144, 8127, 538, 513, 1507, 7382, 1175, 1317, 621, 1522, 581, 15502, 563, 296, 1131, 1869, 6718, 607, 2462, 540, 606, 16983, 607, 2009, 269, 9540, 518, 6864, 926, 4548, 4043, 547, 581, 9875, 547, 1491, 1416, 540, 950, 6236, 1919, 899, 1216, 6724, 269, 5617, 10079, 621, 610, 711, 789, 616, 849, 9875, 547, 2973, 269, 1403, 596, 616, 2469, 547, 723, 513, 7008, 540, 804, 12495, 594, 1131, 1904, 585, 513, 7382, 602, 568, 693, 2547, 476, 1789, 17529, 20990, 610, 865, 269, 1403, 596, 1616, 606, 16983, 16252, 585, 476, 272, 610, 476, 273, 804, 1144, 3165, 1287, 2638, 856, 713, 835, 593, 8835, 269, 17828, 7382, 2450, 585, 513, 595, 31500, 8127, 563, 2252, 596, 666, 6488, 547, 6718, 606, 28778, 7382, 594, 1131, 4363, 3257, 865, 269, 634, 4778, 3330, 519, 7382, 786, 1402, 607, 28778, 13688, 3100, 547, 581, 20501, 982, 4837, 952, 596, 666, 3494, 602, 563, 290, 31500, 3165, 798, 711, 991, 513, 7382, 4904, 609, 782, 5686, 540, 3889, 2705, 952, 596, 8359, 547, 723, 513, 7382, 4904, 609, 4224, 621, 1131, 581, 620, 2431, 1317, 804, 12495, 2067, 7226, 568, 1472, 14147, 18625, 269, 634, 3017, 568, 602, 538, 519, 5836, 952, 513, 3165, 23297, 547, 621, 666, 7669, 856, 883, 519, 2647, 1930, 705, 903, 338, 540, 519, 5836, 267, 1141, 538, 513, 7382, 621, 3112, 798, 713, 865, 711, 11423, 621, 909, 1932, 1454, 568, 15502, 563, 2691, 8027, 595, 31500, 3165, 14322, 596, 786, 711, 723, 1022, 606, 655, 2158, 547, 1376, 609, 596, 1590, 1118, 2386, 519, 3165, 723, 513, 1906, 9634, 789, 666, 12404, 538, 952, 789, 1745, 789, 991, 547, 269, 1306, 596, 1205, 811, 4359, 538, 519, 16983, 15908, 596, 786, 4440, 1616, 547, 2119, 606, 1323, 655, 821, 538, 707, 7382, 855, 585, 1631, 594, 1131, 960, 593, 13215, 5329, 513, 3165, 1152, 16983, 269, 1280, 15720, 4025, 596, 666, 1747, 4224, 538, 513, 1259, 602, 972, 616, 1507, 13946, 899, 2934, 610, 6718, 16983, 23598, 602, 616, 1500, 585, 3165, 547, 12404, 538, 799, 568, 606, 1256, 4443, 3903, 563, 8794, 513, 14167, 16983, 6070, 3575, 585, 707, 1216, 568, 5393, 1271, 269, 27619, 3054, 513, 1434, 24952, 11281, 607, 1134, 269, 16930, 8904, 1058, 581, 538, 519, 2039, 540, 476, 272, 269, 1411, 786, 1265, 891, 2338, 593, 707, 24952, 11281, 269, 11682, 538, 707, 595, 31500, 3165, 6070, 4248, 16983, 1058, 581, 538, 519, 2039, 540, 476, 279, 269, 634, 1655, 1216, 2837, 585, 707, 6070, 7382, 1058, 581, 538, 519, 2039, 540, 476, 10463, 18278, 547, 476, 3199, 18278, 799, 568, 5111, 4826, 2095, 538, 707, 595, 31500, 8127, 7382, 1058, 581, 9793, 563, 5970, 2614, 2095, 547, 1683, 513, 3787, 540, 513, 1699, 855, 4986, 11566, 585, 519, 3165, 269, 634, 8654, 538, 707, 3165, 1152, 6070, 7382, 1281, 711, 723, 547, 581, 2706, 6505, 269, 21894, 10896, 8279, 2097, 609, 519, 7382, 786, 581, 6190, 2394, 596, 1376, 3478, 883, 1323, 655, 2158, 543, 6148, 1256, 27712, 269, 1403, 596, 1869, 991, 519, 3937, 547, 1685, 891, 7403, 596, 1058, 723, 513, 1413, 693, 1250, 5227, 16983, 7727, 2985, 547, 1118, 2386, 596, 1205, 3388, 2556, 585, 513, 3811, 7382, 563, 288, 19871, 4787, 20810, 568, 4122, 1031, 538, 6070, 1216, 6864, 926, 4548, 2705, 952, 596, 616, 7900, 1216, 2242, 4749, 543, 723, 3165, 1152, 538, 707, 7382, 1287, 596, 666, 1205, 2476, 1510, 2348, 547, 946, 513, 19871, 4787, 20810, 269, 634, 1272, 19104, 585, 513, 595, 31500, 8127, 786, 8428, 5594, 689, 2249, 547, 2249, 2705, 1034, 595, 31500, 3165, 786, 7639, 538, 513, 1753, 16983, 538, 24811, 9170, 689, 476, 274, 547, 476, 276, 610, 811, 1296, 782, 4096, 656, 593, 875, 1134, 596, 666, 1491, 1416, 540, 707, 4620, 269, 769, 922, 2067, 7226, 519, 595, 31500, 3165, 786, 2661, 3476, 982, 476, 276, 1296, 909, 547, 12341, 1472, 476, 279, 610, 865, 1296, 563, 293, 29623, 595, 31500, 3165, 568, 2653, 269, 1452, 3165, 616, 711, 22350, 4584, 344, 543, 786, 3548, 1034, 3536, 1500, 585, 6070, 4248, 3165, 607, 538, 1166, 820, 543, 10652, 2280, 3898, 269, 631, 1736, 20544, 543, 5696, 710, 20544, 666, 581, 3773, 547, 519, 2732, 547, 1683, 930, 3099, 607, 1134, 607, 4180, 519, 3165, 616, 3478, 782, 519, 5567, 2009, 563, 763, 3804, 568, 547, 2285, 873, 513, 9867, 2732, 3514, 585, 9631, 16622, 2803, 543, 23097, 2803, 865, 789, 786, 2661, 513, 1279, 543, 2635, 1272, 269, 1879, 8023, 707, 3165, 1118, 2386, 547, 2285, 1152, 2614, 865, 602, 1310, 476, 273, 610, 865, 3764, 972, 568, 1100, 2963, 540, 1426, 13735, 538, 519, 1216, 269, 1403, 972, 568, 1426, 13735, 1472, 610, 1336, 593, 519, 5377, 540, 519, 7382, 1287, 596, 616, 936, 8023, 269, 898, 568, 1271, 547, 917, 602, 936, 8023, 568, 711, 8156, 707, 3165, 269, 1411, 786, 6146, 519, 3165, 607, 936, 16567, 666, 543, 786, 2014, 2152, 609, 519, 1216, 6724, 838, 10884, 1818, 519, 1216, 5906, 585, 519, 3165, 563, 293, 3975, 707, 595, 31500, 3165, 1100, 811, 982, 2899, 513, 1554, 543, 1169, 2899, 538, 1247, 596, 666, 18178, 513, 1554, 689, 8023, 873, 952, 596, 1745, 596, 1522, 581, 4758, 547, 1454, 1426, 563, 763, 3165, 666, 2063, 585, 2395, 1510, 7092, 865, 798, 711, 5855, 827, 602, 269, 3371, 568, 1141, 513, 2603, 540, 1007, 16983, 15908, 1235, 1205, 621, 4636, 269, 1411, 1590, 1382, 17356, 1063, 3165, 2249, 1354, 11093, 873, 538, 513, 7382, 1927, 610, 596, 1981, 8380, 513, 3165, 610, 782, 519, 824, 3165, 538, 8594, 540, 1373, 7166, 676, 606, 10728, 3165, 269, 594, 1131, 2303, 1498, 602, 952, 596, 616, 6216, 1007, 547, 519, 15908, 602, 596, 1445, 593, 1175, 5329, 519, 595, 31500, 8127, 4805, 538, 707, 7382, 585, 513, 1906, 3275, 1354, 4946, 4376, 3116, 563, 296, 1745, 596, 1058, 581, 2111, 547, 4487, 12391, 585, 835, 2249, 540, 3165, 1354, 596, 1847, 593, 547, 519, 1985, 835, 269, 19227, 621, 1223, 9514, 909, 593, 596, 28428, 596, 2724, 543, 942, 543, 519, 2729, 540, 707, 4620, 3165, 269, 1879, 596, 1205, 547, 519, 3942, 540, 11449, 513, 1007, 2249, 540, 3165, 1118, 2386, 547, 798, 513, 3787, 540, 1382, 593, 2436, 707, 1007, 3165, 786, 1205, 2059, 609, 595, 869, 985, 269, 594, 786, 2285, 596, 513, 2262, 540, 13657, 952, 596, 2479, 1589, 540, 11093, 513, 1114, 2249, 540, 595, 31500, 538, 609, 707, 4540, 3165, 269, 634, 1966, 1318, 2476, 568, 602, 707, 4540, 3165, 786, 581, 16857, 563, 2005, 568, 1655, 547, 6529, 609, 519, 1482, 2249, 540, 804, 1144, 8259, 596, 723, 513, 7372, 16983, 936, 17529, 1141, 3025, 666, 30598, 269, 8786, 595, 31500, 8127, 3335, 723, 835, 19898, 585, 1272, 269, 901, 1152, 2242, 950, 519, 8789, 1118, 2242, 883, 513, 4775, 950, 2556, 563, 1103, 513, 1507, 7382, 952, 596, 616, 18822, 2614, 547, 723, 835, 4775, 543, 835, 5256, 1287, 8458, 616, 789, 786, 19898, 585, 1272, 563, 290, 31500, 8127, 616, 585, 519, 1034, 851, 9350, 543, 12560, 3165, 269, 1358, 786, 4339, 952, 1776, 595, 31500, 8127, 13290, 547, 28117, 741, 3984, 606, 655, 821, 610, 952, 972, 568, 513, 6292, 538, 519, 7382, 543, 596, 6338, 1776, 269, 1703, 568, 519, 7872, 540, 930, 8165, 2469, 593, 269, 595, 31500, 8127, 786, 2149, 2933, 676, 1427, 11661, 883, 606, 606, 655, 821, 610, 883, 513, 1212, 341, 823, 538, 519, 7725, 563, 290, 31500, 8127, 723, 513, 22024, 8720, 741, 4703, 602, 14014, 873, 689, 519, 588, 15781, 17895, 8163, 269, 634, 595, 31500, 8127, 543, 1323, 655, 821, 2661, 538, 513, 1623, 25027, 2078, 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 ]
[ 723, 1114, 3601, 4534, 585, 1383, 602, 25316, 8527, 976, 1522, 9178, 5488, 982, 22571, 2223, 21853, 1067, 1767, 563, 4913, 267, 519, 4603, 267, 538, 799, 3744, 5635, 513, 2582, 25316, 549, 2023, 547, 513, 11874, 9901, 7250, 9357, 4534, 1031, 607, 513, 21285, 585, 513, 23442, 4534, 1336, 602, 519, 5279, 3562, 2173, 817, 5223, 568, 9838, 547, 1369, 1175, 476, 7597, 2694, 829, 18265, 267, 5885, 513, 4909, 15340, 1063, 2339, 543, 17059, 2660, 543, 16287, 513, 2185, 19507, 6454, 936, 3105, 7403, 563, 2108, 27407, 267, 649, 1544, 547, 3035, 7403, 602, 616, 693, 2547, 4557, 610, 513, 4627, 2053, 811, 5730, 982, 519, 1699, 3044, 2223, 21853, 1067, 1767, 538, 519, 3948, 563, 2252, 2417, 6901, 7866, 513, 18670, 540, 8713, 307, 15340, 267, 621, 1131, 20726, 693, 519, 6228, 540, 6323, 3564, 519, 9208, 7844, 4534, 799, 267, 5103, 922, 9165, 267, 568, 1869, 30096, 543, 18106, 4534, 543, 849, 1683, 519, 1454, 32571, 2626, 547, 519, 7096, 2243, 540, 1946, 649, 267, 543, 938, 7122, 267, 1256, 2291, 269, 0, 14722, 693, 519, 2160, 540, 12309, 6481, 3427, 723, 4857, 23020, 6786, 602, 4482, 23633, 2281, 547, 8697, 5761, 5160, 1107, 835, 540, 519, 1101, 3268, 538, 513, 5832, 540, 2621, 3056, 547, 513, 24037, 2068, 1572, 7329, 11340, 987, 545, 17422, 27470, 610, 7379, 293, 563, 296, 10972, 24403, 17422, 27470, 568, 513, 11636, 2068, 602, 19754, 476, 2412, 267, 1822, 4892, 1142, 1032, 269, 22452, 547, 6757, 2825, 8069, 899, 536, 2044, 961, 1756, 543, 21958, 7452, 666, 9594, 7379, 293, 267, 855, 538, 1034, 2665, 267, 922, 2014, 3788, 513, 9814, 563, 10454, 2068, 568, 14042, 547, 519, 2550, 945, 723, 621, 267, 543, 547, 519, 13500, 945, 723, 1100, 2500, 2081, 547, 1521, 621, 2437, 3081, 21861, 1415, 645, 269, 18703, 267, 1912, 6185, 1421, 606, 13930, 7548, 540, 4835, 4915, 693, 519, 772, 5336, 6481, 3427, 269, 11554, 609, 8895, 523, 645, 269, 1677, 31974, 267, 631, 6185, 269, 1107, 513, 7548, 540, 4835, 4915, 543, 8783, 540, 17422, 543, 2565, 1416, 4915, 1107, 543, 824, 6481, 3427, 3173, 267, 18703, 2090, 519, 2281, 543, 15202, 11444, 3238, 538, 7379, 293, 563, 257, 7709, 293, 7930, 30001, 2011, 5485, 338, 538, 519, 5761, 543, 30283, 873, 609, 10077, 5160, 1107, 1818, 621, 2352, 543, 5555, 7543, 585, 2550, 547, 13236, 2437, 18703, 3081, 269, 834, 7197, 2550, 5749, 1406, 8995, 2394, 519, 2068, 568, 538, 606, 4359, 3942, 267, 543, 789, 1419, 5884, 1369, 1079, 1296, 540, 5868, 4799, 3528, 1565, 811, 827, 519, 2596, 6127, 540, 519, 2068, 267, 772, 5336, 3744, 4126, 547, 10625, 1007, 1344, 602, 1223, 1291, 547, 9354, 5061, 547, 3625, 11636, 5761, 3441, 610, 10368, 4255, 547, 1118, 2038, 7020, 2009, 563, 27770, 648, 786, 1459, 519, 5767, 2164, 689, 1200, 7379, 293, 1382, 538, 513, 2904, 476, 2537, 16968, 6881, 693, 519, 1977, 18897, 25714, 5980, 5870, 2921, 1747, 2904, 476, 866, 268, 2190, 538, 5842, 17630, 563, 27770, 648, 2090, 4017, 24945, 5052, 1107, 18642, 2281, 6508, 689, 5642, 20768, 602, 948, 7816, 543, 11177, 8697, 5160, 538, 519, 1560, 269, 1879, 5761, 5160, 568, 13676, 267, 8697, 2281, 6494, 856, 23020, 11605, 6786, 602, 2721, 4017, 24945, 5052, 689, 519, 18072, 547, 519, 13676, 1858, 269, 4495, 538, 519, 5761, 267, 4017, 24945, 5052, 2490, 883, 4017, 549, 4565, 6814, 1107, 2281, 602, 694, 4740, 20018, 267, 2208, 2188, 543, 824, 6878, 547, 1106, 10077, 5160, 543, 948, 12115, 519, 8697, 5761, 269, 4495, 18203, 616, 2347, 267, 3114, 15202, 6675, 1572, 14382, 698, 1633, 1231, 9505, 1524, 519, 27614, 540, 4017, 24945, 5052, 543, 2490, 1055, 519, 4017, 549, 6776, 3210, 563, 24281, 17422, 27470, 267, 585, 4128, 649, 1810, 1406, 1174, 267, 713, 4017, 549, 6776, 610, 10077, 268, 14127, 1184, 2760, 695, 7491, 1524, 2437, 18703, 6941, 269, 834, 17686, 10402, 543, 10077, 5160, 1628, 909, 538, 519, 26300, 527, 658, 5624, 1063, 5761, 2281, 267, 1818, 5761, 5160, 20202, 543, 2352, 547, 4228, 950, 596, 11375, 1446, 269, 1306, 519, 2068, 22264, 267, 1004, 609, 7379, 293, 7444, 3411, 11229, 547, 2669, 1701, 769, 1200, 589, 4811, 6881, 267, 18703, 786, 1459, 1007, 2963, 10834, 602, 20188, 18657, 2209, 1572, 2166, 7322, 2643, 32151, 582, 686, 25333, 949, 581, 3743, 585, 519, 20025, 11852, 540, 4017, 24945, 5052, 538, 4017, 549, 6776, 9641, 267, 1247, 14382, 698, 1633, 1231, 666, 21391, 4017, 24945, 974, 1599, 563, 257, 4322, 4681, 2303, 602, 11257, 547, 3625, 32151, 582, 686, 25333, 610, 547, 3986, 14382, 698, 1633, 1231, 949, 581, 6225, 547, 2550, 7092, 689, 7379, 293, 2437, 18703, 6941, 563, 1103, 4505, 1382, 267, 18703, 4362, 602, 513, 13805, 11140, 1572, 595, 10135, 273, 1590, 581, 1459, 593, 519, 4017, 24945, 974, 779, 2627, 267, 538, 1931, 585, 27470, 547, 2253, 269, 12524, 8983, 1510, 519, 595, 10135, 273, 11140, 941, 8572, 547, 4482, 4017, 24945, 5052, 543, 1705, 711, 1020, 17422, 27470, 1310, 5761, 5945, 563, 2691, 18703, 11843, 4017, 24945, 5052, 5627, 519, 595, 10135, 273, 13805, 883, 2635, 8983, 267, 519, 8983, 2919, 811, 4049, 27470, 1310, 5761, 7063, 982, 8983, 602, 1705, 711, 4309, 519, 4017, 24945, 974, 13003, 563, 27770, 648, 849, 1336, 602, 513, 1808, 14270, 663, 267, 610, 3114, 5365, 267, 1572, 595, 12710, 1321, 538, 8983, 267, 568, 3812, 676, 25853, 2281, 538, 8697, 5761, 5160, 269, 18703, 779, 1382, 6920, 602, 595, 12710, 1321, 779, 5365, 16461, 1080, 4017, 24945, 5052, 689, 519, 18072, 547, 519, 1858, 540, 5160, 3441, 267, 543, 2337, 9594, 519, 4017, 549, 6776, 1184, 563, 5475, 18703, 779, 1382, 8612, 519, 2565, 1909, 5129, 676, 4017, 24945, 5052, 538, 519, 1646, 540, 7379, 293, 267, 772, 5336, 19353, 3459, 9584, 1973, 5439, 689, 772, 5336, 2550, 609, 519, 2068, 269, 4340, 547, 18703, 267, 789, 1336, 4017, 24945, 5052, 689, 7379, 293, 2550, 3812, 1614, 2053, 519, 3339, 2179, 540, 20018, 563, 257, 293, 756, 24945, 5052, 723, 693, 2547, 3670, 1114, 13805, 6675, 593, 741, 2627, 267, 865, 972, 616, 6157, 2789, 15202, 11444, 3238, 538, 519, 1646, 540, 7379, 293, 2437, 18703, 3081, 269, 834, 3719, 1631, 649, 917, 602, 7303, 519, 11006, 1063, 519, 595, 12710, 1321, 14270, 663, 543, 519, 595, 10135, 273, 13805, 538, 8983, 666, 3970, 519, 2068, 779, 1646, 4799, 763, 595, 12710, 1321, 14270, 663, 538, 8983, 568, 12303, 9838, 547, 519, 595, 12710, 273, 14270, 663, 538, 3425, 267, 799, 568, 1634, 547, 581, 3238, 538, 824, 1480, 5761, 3676, 267, 2687, 547, 18703, 269, 1924, 12489, 610, 1507, 6675, 5827, 540, 17527, 595, 12710, 273, 779, 5365, 1223, 581, 9621, 10457, 585, 1007, 3075, 6602, 563, 20442, 949, 711, 581, 2111, 547, 3247, 519, 3355, 2068, 1184, 267, 855, 5310, 649, 1223, 1832, 621, 689, 3356, 532, 865, 6385, 2437, 18703, 3773, 269, 834, 2005, 779, 513, 1101, 1900, 267, 855, 606, 1271, 835, 267, 538, 6061, 519, 9814, 540, 713, 2068, 269, 9406, 1631, 267, 4797, 1382, 568, 519, 1152, 4126, 649, 666, 2709, 7379, 293, 2550, 4799, 306, 958, 623, 984, 19390, 1168, 24989, 1923, 31823, 2336, 763, 2170, 727, 540, 7783, 8849, 2281, 8761, 1007, 9354, 9072, 585, 32760, 454, 2537, 269, 4905, 269, 1001, 278, 1923, 667, 262, 7775, 4659, 585, 3194, 543, 4065, 454, 296, 517, 5574, 585, 13487, 2855, 15219, 8926, 2443, 6348, 29554, 4244, 547, 29259, 2861, 6391, 454, 736, 269, 4905, 269, 1001, 278, 1923, 717, 10485, 29581, 3128, 339, 3960, 550, 5300, 24166, 5576, 4546, 542, 523, 325, 832, 577, 2426, 717, 3387, 295, 454, 2690, 519, 1101, 942, 2479, 267, 513, 6531, 540, 16600, 2275, 1245, 8444, 814, 1044, 6707, 2813, 538, 2230, 593, 4604, 540, 513, 3280, 532, 15177, 269, 634, 631, 9590, 4785, 5692, 9727, 602, 7061, 9804, 8596, 666, 581, 13234, 1256, 538, 10792, 5054, 899, 2230, 1107, 513, 23944, 328, 21935, 585, 4466, 4267, 547, 519, 1034, 4101, 2055, 540, 4909, 6323, 543, 606, 1271, 5647, 9920, 585, 4948, 3156, 563, 6097, 547, 15751, 18160, 781, 4982, 2526, 775, 20232, 267, 782, 4703, 616, 18965, 693, 519, 1482, 2557, 676, 519, 3047, 781, 8904, 267, 7488, 540, 741, 3601, 269, 901, 2483, 2304, 1271, 1900, 2509, 513, 4625, 1007, 8097, 1569, 547, 7061, 6323, 814, 1044, 1500, 693, 2160, 540, 23951, 560, 11961, 269, 634, 2319, 540, 3744, 18188, 676, 2483, 312, 619, 514, 23706, 2014, 4049, 15499, 5563, 269, 5525, 1210, 962, 619, 27091, 15554, 582, 21310, 17533, 607, 513, 2203, 11248, 2832, 547, 30881, 519, 3968, 6127, 540, 891, 2483, 12867, 689, 519, 2160, 540, 31297, 538, 5125, 267, 538, 5698, 609, 9164, 689, 519, 2160, 540, 589, 541, 327, 639, 538, 16862, 267, 723, 24704, 513, 1007, 21367, 532, 1570, 676, 3395, 513, 1906, 6106, 540, 606, 1884, 11717, 11424, 5912, 2173, 13926, 669, 531, 322, 4094, 728, 593, 513, 536, 1143, 3578, 2861, 30490, 1202, 15975, 267, 1312, 1373, 1875, 1606, 10967, 17238, 532, 2326, 563, 4407, 21367, 2032, 543, 11275, 1143, 616, 3622, 5156, 547, 581, 20102, 12600, 267, 19599, 267, 538, 713, 1007, 1570, 267, 21367, 532, 21374, 2483, 299, 6471, 28391, 540, 5033, 22015, 1023, 2636, 2870, 3209, 844, 553, 760, 14835, 2829, 1369, 27772, 2339, 1949, 543, 15175, 1063, 1114, 2829, 593, 16600, 9724, 942, 10253, 454, 6597, 3539, 3601, 540, 4909, 5536, 538, 27772, 2339, 1949, 568, 513, 9621, 1935, 547, 7061, 2361, 3069, 269, 2372, 553, 760, 14895, 2709, 519, 4316, 2483, 866, 269, 4905, 269, 1001, 278, 1923, 7926, 5240, 454, 1015, 269, 4905, 269, 1001, 278, 1923, 7926, 5240, 454, 6021, 269, 4905, 269, 1001, 278, 1923, 7926, 5240, 454, 2537, 269, 4905, 269, 1001, 278, 1923, 6713, 7177, 454, 2537, 269, 4905, 269, 1001, 278, 1923, 8212, 543, 18395, 454, 2537, 269, 4905, 269, 1001, 278, 1923, 5020, 7070 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10536, 1569, 547, 971, 3532, 13802, 543, 6430, 547, 25793, 1662, 873, 538, 29822, 20651, 2127, 899, 3506, 267, 10918, 7740, 267, 610, 1857, 6283, 1949, 269, 6270, 6285, 1223, 1291, 547, 2527, 25096, 543, 6848, 14784, 269, 4475, 267, 7303, 519, 21568, 540, 25560, 2861, 9604, 3788, 513, 1283, 10862, 585, 6608, 5001, 269, 3414, 7453, 6042, 267, 11826, 23388, 267, 543, 6024, 2069, 3646, 267, 649, 1590, 960, 2509, 4180, 891, 14686, 6878, 2760, 2887, 883, 519, 4636, 3946, 780, 6962, 692, 1103, 3932, 267, 519, 1686, 540, 25560, 2861, 9604, 20502, 1312, 1480, 5876, 543, 3186, 1192, 4369, 269, 2755, 3695, 2470, 781, 5318, 19070, 531, 814, 3366, 547, 7415, 3621, 8906, 267, 621, 814, 849, 2016, 4473, 547, 930, 540, 8103, 781, 4666, 31586, 13144, 269, 1306, 3743, 4961, 267, 649, 1590, 5431, 519, 2956, 540, 13326, 3356, 609, 13657, 950, 7231, 609, 5732, 13818, 2326, 269, 8307, 1287, 666, 649, 2327, 513, 10930, 2104, 585, 782, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 291, 15401, 546, 684, 807, 7154, 267, 2367, 655, 4157, 534, 512, 553, 21583, 5033, 335, 1248, 320, 536, 13453, 521, 4821, 544, 1263, 6470, 1731, 330, 2335, 5984, 3954, 1146, 544, 754, 777, 520, 16988, 13544, 13607, 1019, 7989, 664, 534, 18921, 2228, 3870, 527, 1656, 320, 269, 5851, 4537, 641, 267, 8913, 9857, 534, 513, 16223, 597, 1656, 320, 2150, 4157, 536, 8538, 698, 2967, 5672, 600, 1050, 330, 267, 740, 531, 1695, 1661, 6312, 512, 553, 2367, 550, 4157, 534, 575, 11535, 1656, 320, 269, 667, 15401, 1148, 1731, 601, 538, 328, 267, 6539, 320, 513, 16988, 1509, 321, 1695, 553, 544, 1263, 23981, 5851, 4537, 641, 2367, 329, 14508, 8913, 9857, 534, 2588, 4821, 16948, 533, 1263, 613, 3405, 7154, 15854, 9126, 2727, 3570, 5851, 4537, 641, 1509, 559, 5942, 737, 525, 4821, 534, 3954, 1146, 737, 525, 518, 10224, 536, 1069, 664, 3014, 18921, 2228, 563, 12709, 4537, 641, 1107, 16515, 9857, 534, 22960, 1656, 320, 454, 12709, 4537, 641, 1207, 16988, 554, 1415, 320, 533, 3188, 1356, 282, 538, 328, 740, 531, 1695, 8913, 9857, 534, 7154, 1019, 812, 320, 1656, 320, 546, 777, 520, 2367, 329, 601, 1690, 1695, 328, 15854, 2367, 655, 4157, 534, 536, 8538, 698, 2967, 5672, 600, 512, 553, 536, 1120, 11535, 15854, 1583, 321, 698, 10044, 269, 19257, 760, 3954, 1146, 24431, 760, 14515, 1509, 583, 541, 575, 592, 684, 1146, 546, 15401, 7989, 664, 534, 18921, 2228, 267, 5851, 4537, 641, 2367, 1177, 1046, 534, 737, 1961, 802, 328, 512, 553, 21583, 1768, 639, 10874, 651, 3387, 836, 21583, 1509, 1731, 520, 15854, 544, 1263, 326, 2967, 19207, 16988, 16948, 890, 322, 842, 320, 7154, 563, 307, 553, 21583, 21780, 1030, 17430, 1731, 534, 717, 11535, 1656, 320, 454, 13312, 5851, 4537, 641, 267, 512, 553, 1207, 16988, 694, 330, 611, 541, 513, 802, 525, 528, 529, 282, 621, 340, 740, 531, 1695, 552, 802, 26078, 328, 575, 11535, 267, 1183, 335, 1026, 6598, 267, 15854, 1183, 335, 571, 19241, 16388, 269, 25109, 2967, 546, 926, 512, 553, 795, 514, 329, 532, 26523, 8615, 512, 553, 1024, 1375, 600, 267, 10443, 1088, 26523, 8615, 512, 553, 694, 548, 5404, 836, 267, 547, 14150, 538, 328, 2367, 1177, 1046, 534, 10874, 698, 600, 7796, 328, 7315, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 307, 28845, 15369, 1284, 777, 976, 257, 607, 851, 540, 834, 19615, 1315, 13639, 1315, 18143, 1299, 11906, 2782, 11071, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 2473, 281, 4197, 27391, 531, 26291, 910, 634, 11957, 540, 11572, 3487, 625, 692, 5970, 596, 2479, 9289, 875, 707, 4884, 610, 2749, 568, 2196, 286, 5808, 2306, 3664, 827, 1919, 899, 11614, 267, 3506, 267, 543, 9897, 286, 634, 2626, 6013, 538, 18513, 10350, 256, 901, 568, 1175, 513, 16681, 1259, 540, 6031, 834, 6011, 4872, 543, 10034, 616, 7307, 1701, 1656, 835, 1271, 2460, 540, 18513, 10350, 568, 2797, 6105, 780, 3719, 1946, 798, 2797, 6105, 2339, 585, 938, 2199, 6608, 286, 1411, 1522, 1589, 602, 609, 7641, 267, 1514, 2923, 267, 543, 824, 2081, 547, 3914, 6266, 540, 1004, 693, 2899, 267, 14761, 9327, 1405, 991, 6105, 15042, 269, 4270, 267, 621, 7140, 856, 602, 6105, 666, 1869, 1404, 513, 2629, 1909, 267, 2523, 538, 2199, 12836, 269, 2913, 781, 2263, 1946, 2439, 5331, 596, 2811, 4881, 585, 25650, 538, 707, 554, 32528, 269, 1703, 616, 1082, 2081, 596, 1223, 2119, 547, 1205, 17037, 547, 3442, 596, 269, 9320, 596, 9364, 2322, 909, 19297, 1472, 4884, 267, 979, 7450, 3562, 1673, 3233, 10962, 3054, 267, 610, 3180, 11401, 1141, 1004, 666, 1451, 811, 827, 707, 4566, 269, 2353, 891, 3646, 1491, 942, 267, 1648, 267, 543, 2724, 1107, 2200, 649, 1289, 834, 335, 11823, 3854, 3010, 3086, 4952, 952, 972, 729, 513, 1895, 540, 1004, 945, 3838, 707, 3853, 543, 2418, 267, 543, 941, 8348, 547, 948, 596, 676, 7700, 741, 1378, 2797, 3854, 269, 1358, 1223, 1374, 8038, 619, 267, 3984, 2621, 267, 543, 1256, 5000, 741, 2828, 543, 1920, 547, 8917, 585, 596, 269, 1879, 1004, 960, 1927, 899, 713, 267, 789, 1711, 1945, 1572, 513, 834, 4820, 344, 3919, 2437, 799, 3252, 607, 513, 2319, 2324, 2509, 1455, 6859, 780, 303, 7035, 5974, 1419, 1445, 593, 1533, 610, 3084, 14797, 267, 855, 10115, 538, 2199, 5428, 3906, 666, 849, 3142, 1713, 2640, 269, 1280, 1383, 267, 1577, 781, 1413, 693, 8478, 781, 20709, 9549, 630, 8976, 1040, 4438, 519, 4571, 268, 1220, 271, 338, 267, 519, 25280, 4956, 547, 2628, 6251, 3007, 547, 6237, 6214, 538, 8478, 781, 22583, 267, 513, 13840, 15061, 1858, 1634, 585, 19121, 720, 1949, 269, 1635, 2679, 2178, 5428, 3906, 1934, 267, 519, 25280, 6322, 547, 4228, 922, 4527, 3564, 922, 2757, 3490, 780, 1692, 1705, 789, 3035, 713, 286, 11822, 281, 789, 8118, 1007, 5428, 13646, 2429, 519, 3148, 269, 1452, 5624, 6039, 607, 32387, 585, 2146, 2818, 5461, 538, 5885, 519, 25280, 781, 5075, 269, 21816, 32580, 10356, 547, 1865, 2199, 2152, 267, 1544, 11044, 267, 543, 4497, 609, 1761, 17037, 269, 3683, 942, 267, 891, 29065, 3646, 6976, 1055, 3946, 727, 569, 269, 9737, 476, 1220, 275, 543, 476, 1220, 279, 267, 519, 1297, 540, 949, 832, 28337, 609, 519, 25280, 8057, 676, 936, 476, 2004, 260, 538, 519, 29036, 267, 3850, 873, 547, 2936, 4507, 14436, 540, 741, 4295, 4978, 780, 1607, 1650, 14550, 519, 2956, 540, 1134, 3613, 19099, 5428, 3906, 693, 519, 18513, 1377, 269, 16200, 2199, 5121, 5512, 6105, 547, 1921, 7184, 609, 2950, 267, 2232, 2189, 4145, 267, 543, 6536, 3972, 1851, 7264, 269, 1306, 513, 1267, 267, 4961, 1745, 4862, 543, 23518, 267, 3056, 547, 8902, 1629, 31097, 2949, 780, 1103, 5758, 267, 1247, 2029, 814, 4957, 930, 3344, 540, 5859, 532, 267, 1480, 4296, 2611, 4105, 585, 3811, 18513, 10350, 269, 1924, 1985, 942, 596, 1294, 13538, 5679, 12177, 593, 9885, 610, 16475, 678, 718, 625, 267, 3314, 602, 789, 2811, 1898, 5716, 538, 1818, 2386, 938, 4872, 543, 10034, 8853, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3963, 5428, 3919, 1869, 6927, 454, 21615, 539, 12025, 630, 29210, 994, 9558, 5296, 540, 4208, 5428, 3919, 1869, 6927, 454, 310, 14176, 623, 11286, 312, 10758, 294, 3198, 22003, 9569, 590, 2316, 17247, 13878, 307, 8991, 454, 763, 20709, 9549, 538, 17368, 14665, 8478, 454, 9989, 5428, 3919, 1869, 2339, 286, 13518, 540, 519, 5428, 3332, 5267, 602, 14761, 2676, 15367, 666, 946, 31431, 899, 2527, 2923, 547, 3094, 16018, 267, 3668, 15314, 547, 1902, 538, 5428, 454, 32360, 269, 8616, 5428, 3919, 3788, 606, 21146, 10697, 267, 2523, 693, 2539, 2157, 454, 1993, 2229, 269, 15845, 689, 4858, 345, 2812, 20709, 9549, 630, 8976, 264, 6920, 602, 5428, 31794, 454, 514, 4034, 538, 3919, 950, 789, 4225, 2539, 7400, 12836, 267, 543, 602, 713, 5092, 454, 23437, 1392, 21146, 7024, 269, 769, 519, 4571, 268, 1220, 271, 338, 267, 519, 25280, 22541, 922, 1489, 2066, 2157, 454, 1993, 2229, 538, 519, 15061, 267, 7817, 601, 2065, 29036, 269, 14301, 689, 896, 583, 28895, 454, 11907, 593, 5428, 13646, 267, 713, 2376, 2982, 602, 10721, 7269, 8329, 454, 11357, 560, 656, 6053, 547, 519, 25280, 781, 21146, 8441, 538, 519, 29036, 269, 2755, 5518, 700, 3121, 13005, 454, 22068, 11663, 630, 8976, 264, 476, 1220, 277, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 300, 10129, 531, 26291, 257, 607, 851, 540, 834, 303, 27773, 13316, 1315, 1977, 6554, 1315, 10871, 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, 22418, 2095, 2359, 568, 513, 2565, 2460, 540, 9746, 8804, 602, 3322, 5464, 543, 5883, 519, 1102, 869, 543, 856, 6503, 540, 6666, 1369, 513, 1870, 547, 2327, 922, 2883, 6617, 543, 2208, 269, 901, 1523, 568, 3226, 1271, 585, 2477, 899, 2098, 25995, 267, 1141, 6710, 2157, 2611, 1164, 267, 543, 2200, 616, 3908, 269, 1635, 3927, 5883, 741, 6666, 8928, 267, 4213, 666, 3565, 547, 4227, 6710, 676, 2870, 7694, 3255, 543, 10451, 8907, 585, 519, 2229, 998, 9204, 780, 2414, 1174, 6666, 2095, 2359, 781, 4644, 267, 621, 781, 1898, 547, 5581, 930, 1883, 2474, 269, 22418, 2095, 4016, 547, 519, 4890, 2179, 540, 2724, 4947, 883, 543, 2469, 856, 540, 513, 1870, 269, 898, 15320, 689, 7443, 267, 799, 4564, 519, 3017, 1063, 19614, 543, 9276, 269, 589, 2754, 666, 581, 19311, 2943, 1995, 6666, 2095, 2042, 1813, 547, 12557, 3604, 1063, 950, 19614, 616, 4607, 543, 9276, 6976, 780, 290, 1662, 2095, 2359, 6663, 547, 6474, 513, 1870, 781, 6666, 1102, 869, 338, 543, 856, 6503, 338, 607, 5702, 607, 2009, 269, 15474, 6666, 2095, 6920, 602, 811, 2724, 568, 13576, 883, 519, 1870, 982, 568, 13576, 856, 267, 1247, 2942, 6666, 2095, 1797, 519, 6587, 269, 24367, 2318, 6666, 2095, 5849, 602, 513, 1870, 814, 2614, 7482, 547, 2743, 922, 2110, 3856, 13800, 971, 607, 23269, 267, 10519, 267, 20848, 267, 543, 10211, 11033, 269, 3683, 942, 267, 2318, 6666, 2095, 6087, 4213, 547, 1902, 538, 1279, 3856, 7221, 267, 4228, 4238, 267, 543, 1711, 6009, 780, 19931, 6666, 2095, 2359, 3340, 4977, 20925, 543, 22343, 269, 5983, 26511, 3322, 21501, 2104, 6666, 1102, 869, 338, 543, 856, 6503, 338, 1759, 593, 3140, 1239, 267, 2344, 3466, 267, 543, 2804, 10832, 269, 20907, 532, 14122, 782, 20814, 2200, 547, 1114, 2127, 540, 519, 1870, 547, 3035, 1808, 3853, 269, 5637, 3157, 2154, 6297, 2079, 543, 2834, 10311, 547, 2992, 2242, 538, 519, 1870, 1604, 780, 1103, 2098, 25995, 267, 1141, 6710, 2157, 2611, 1164, 267, 2500, 6666, 2095, 2359, 568, 2629, 585, 4213, 547, 8853, 269, 4340, 547, 513, 1353, 676, 519, 2622, 7813, 267, 5355, 1569, 547, 8804, 585, 2890, 267, 1507, 267, 543, 5420, 16904, 630, 5960, 10933, 338, 264, 1223, 3648, 2569, 6710, 2157, 538, 1016, 25781, 4000, 269, 1717, 267, 9049, 10933, 338, 1419, 3068, 2591, 17034, 14104, 1813, 547, 1344, 12623, 11496, 267, 1164, 1719, 3928, 267, 543, 32097, 4170, 269, 13229, 6666, 2095, 2359, 666, 948, 891, 4213, 6542, 5491, 10290, 1465, 543, 4482, 5092, 780, 11101, 267, 5883, 6666, 2095, 568, 4105, 585, 4213, 5275, 547, 10210, 585, 17215, 14323, 3785, 267, 607, 5018, 676, 5518, 25016, 340, 269, 700, 11367, 3335, 2154, 2963, 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 ]
[ 609, 513, 12566, 7936, 610, 530, 805, 327, 607, 513, 3090, 540, 1010, 10143, 6392, 543, 4276, 547, 2470, 269, 769, 3504, 575, 872, 576, 267, 519, 12566, 3529, 729, 5156, 547, 581, 10723, 547, 3284, 18099, 543, 729, 4122, 12630, 2282, 1010, 17633, 563, 763, 7681, 1063, 3284, 18099, 543, 519, 12566, 3529, 666, 581, 14360, 1394, 547, 1585, 29631, 2984, 543, 3909, 12738, 269, 634, 12566, 3529, 4564, 4222, 267, 1379, 267, 543, 18163, 1272, 267, 799, 616, 849, 7907, 2404, 609, 3284, 18099, 269, 769, 19967, 13299, 267, 3284, 18099, 568, 2808, 519, 5601, 540, 2575, 267, 6965, 267, 7067, 267, 543, 519, 3141, 563, 1432, 6496, 634, 10326, 13507, 1125, 13336, 1302, 888, 763, 3529, 23327, 5289, 2208, 267, 4222, 267, 543, 519, 4276, 1063, 13140, 543, 3618, 269, 898, 4564, 6617, 267, 16608, 267, 543, 11606, 269, 19029, 723, 2620, 5072, 602, 19671, 873, 547, 519, 2666, 267, 29544, 27733, 543, 12082, 1145, 538, 17035, 269, 1358, 849, 3914, 585, 519, 6607, 267, 29544, 17050, 543, 5289, 2208, 563, 763, 8371, 543, 3762, 2099, 7269, 543, 519, 6024, 2095, 540, 1272, 1648, 269, 19029, 849, 1683, 12062, 543, 29454, 267, 8204, 4027, 543, 32351, 593, 513, 5289, 1377, 269, 769, 1082, 5289, 5389, 267, 4054, 616, 2938, 607, 10723, 543, 4448, 547, 519, 10143, 563, 5445, 616, 1419, 1031, 607, 6698, 540, 7326, 267, 7067, 267, 543, 7004, 269, 634, 3529, 779, 2702, 547, 1689, 609, 519, 12405, 11414, 721, 827, 519, 9979, 540, 1272, 543, 519, 2956, 540, 8508, 1689, 543, 2208, 563, 763, 13513, 543, 5289, 2495, 540, 12566, 4054, 538, 519, 23573, 568, 11212, 3638, 543, 7096, 269, 1306, 649, 723, 4362, 2429, 713, 5816, 2022, 267, 12566, 4054, 616, 1419, 2404, 609, 7907, 971, 607, 4222, 267, 6043, 267, 543, 23629, 1275, 269, 1358, 616, 513, 3090, 540, 5601, 779, 2479, 331, 8463, 4527, 543, 519, 4126, 540, 18163, 1272, 563, 763, 12566, 3529, 779, 2702, 547, 21707, 1256, 538, 519, 554, 1513, 4554, 540, 2175, 568, 513, 12576, 602, 1256, 538, 938, 4158, 652, 8090, 267, 5601, 568, 609, 721, 267, 4758, 721, 519, 4222, 547, 829, 572, 3164, 269, 5015, 267, 519, 29549, 24710, 540, 12566, 568, 12572, 540, 519, 6653, 4527, 540, 519, 13411, 6891, 538, 938, 2729, 563, 3528, 1620, 519, 4514, 10096, 3297, 519, 12566, 3529, 267, 649, 666, 2744, 513, 3152, 7071, 585, 519, 2067, 1158, 543, 513, 4514, 4276, 547, 938, 5289, 30441, 269, 1924, 1577, 721, 9784, 519, 7096, 13513, 540, 519, 12566, 3529, 543, 1450, 621, 547, 3391, 721, 593, 938, 5289, 3460, 563, 15100, 476, 1708, 275, 20769, 639, 332, 27534, 2593, 269, 2353, 2924, 11603, 269, 901, 1543, 568, 6870, 676, 10677, 269, 16731, 20769, 639, 332, 27534, 2593, 585, 811, 1344, 269, 0, 2252, 596, 4076, 3893, 513, 10116, 7404, 267, 3180, 621, 538, 707, 1688, 585, 513, 4090, 269, 2334, 10116, 267, 693, 5111, 476, 277, 10101, 267, 568, 519, 1482, 2597, 607, 19051, 779, 10545, 5162, 17055, 6177, 267, 519, 13642, 2275, 27547, 3751, 2280, 269, 1452, 6263, 267, 18512, 5017, 666, 7639, 5210, 607, 1970, 607, 910, 2412, 11433, 487, 267, 538, 851, 676, 887, 24031, 538, 1507, 2516, 267, 554, 3291, 1194, 1927, 2282, 519, 17657, 538, 519, 8825, 16714, 540, 513, 838, 16078, 610, 535, 597, 269, 1411, 616, 1034, 2693, 547, 1294, 13642, 2275, 27547, 3751, 7410, 538, 598, 26448, 4054, 2429, 519, 1032, 282, 789, 9742, 538, 598, 26448, 7733, 538, 519, 32720, 3368, 540, 519, 1533, 543, 22337, 928, 770, 267, 2523, 693, 2362, 6173, 725, 269, 769, 519, 5162, 267, 789, 616, 1336, 2429, 519, 1533, 543, 4749, 6443, 6404, 25061, 1166, 4169, 609, 7105, 1228, 525, 543, 2428, 1002, 2583, 269, 19415, 585, 741, 10058, 267, 1164, 1790, 17097, 7125, 602, 3280, 899, 1079, 610, 1614, 4967, 689, 513, 6263, 22275, 324, 779, 27646, 269, 1411, 666, 11617, 10646, 873, 676, 741, 3742, 25061, 2623, 267, 1166, 32211, 543, 29964, 532, 1472, 519, 9018, 1000, 12127, 269, 4634, 538, 519, 5162, 267, 13642, 2275, 27547, 3751, 7410, 3548, 6140, 7786, 267, 799, 789, 7485, 689, 13421, 540, 19512, 543, 13626, 1212, 341, 1182, 269, 1358, 616, 1419, 3833, 3972, 532, 267, 3006, 25061, 2673, 2614, 585, 596, 547, 1294, 741, 26672, 573, 11344, 13862, 269, 5901, 606, 3750, 593, 519, 598, 28875, 538, 707, 13452, 713, 5162, 543, 596, 1522, 6952, 513, 19214, 540, 19051, 779, 10545, 5162, 6177, 563, 12988, 12881, 16819, 540, 519, 13600, 568, 513, 4183, 676, 19051, 10748, 889, 517, 2813, 585, 519, 19051, 5851, 12567, 5240, 267, 519, 20394, 540, 519, 2160, 540, 19051, 31913, 22362, 281, 12567, 543, 962, 731, 0, 301, 1551, 894, 568, 513, 2165, 1031, 547, 3277, 547, 513, 9275, 610, 2854, 2272, 540, 2621, 602, 616, 11231, 538, 513, 9266, 5311, 269, 898, 568, 1419, 1031, 547, 3277, 547, 513, 1650, 267, 610, 513, 5311, 540, 2621, 602, 616, 1644, 547, 1142, 824, 538, 930, 1259, 543, 602, 616, 5497, 547, 581, 6956, 607, 513, 2898, 563, 301, 1551, 2510, 666, 1491, 1082, 1114, 3029, 267, 1519, 9089, 267, 2110, 2984, 267, 4249, 267, 8874, 267, 543, 5711, 9423, 269, 1358, 3335, 723, 513, 4098, 267, 1647, 267, 543, 1439, 267, 543, 789, 616, 6896, 1472, 513, 3844, 4655, 610, 1966, 602, 568, 17251, 936, 519, 1576, 540, 519, 2239, 269, 15881, 2510, 1419, 1331, 3197, 267, 5468, 267, 543, 4729, 267, 799, 616, 519, 2609, 602, 2285, 513, 1650, 922, 2497, 543, 2495, 563, 301, 1551, 2510, 616, 513, 4909, 2460, 540, 1480, 2792, 543, 2528, 267, 543, 789, 1404, 513, 2629, 1909, 538, 5935, 938, 1620, 540, 519, 1158, 269, 1358, 616, 1419, 1031, 547, 6655, 1344, 267, 7038, 267, 543, 22321, 267, 543, 789, 616, 606, 1271, 1907, 585, 1818, 2631, 540, 1950, 2621, 543, 2833, 269, 15788, 267, 2239, 568, 513, 4909, 2460, 540, 1480, 2792, 267, 543, 621, 568, 606, 1898, 3693, 540, 9423, 563, 301, 1551, 894, 2029, 568, 513, 2165, 1031, 547, 3277, 547, 519, 946, 540, 2029, 547, 1711, 543, 13861, 6386, 269, 898, 3322, 519, 946, 540, 3059, 2645, 543, 2553, 547, 1711, 267, 4383, 267, 543, 22412, 622, 2984, 543, 824, 2239, 1543, 563, 301, 1551, 894, 2029, 568, 4122, 1031, 538, 513, 3099, 540, 4610, 543, 3156, 267, 1519, 9913, 267, 19761, 267, 2069, 267, 543, 6725, 269, 769, 519, 9913, 2872, 267, 585, 1383, 267, 2239, 2029, 568, 1031, 547, 1711, 7317, 543, 15138, 2833, 267, 971, 607, 3381, 3756, 267, 5691, 4641, 2833, 267, 543, 7317, 2984, 269, 769, 19761, 267, 2239, 2029, 568, 1031, 547, 1711, 19180, 2984, 602, 6451, 1257, 267, 3381, 267, 543, 8301, 267, 543, 602, 666, 581, 15600, 593, 2789, 3457, 269, 769, 2069, 267, 2239, 2029, 568, 1031, 547, 1711, 7317, 1565, 2833, 602, 4497, 1053, 543, 948, 873, 1174, 1950, 2035, 563, 301, 1551, 894, 2029, 568, 849, 1031, 538, 6725, 543, 10229, 267, 1141, 621, 568, 1031, 547, 1711, 8903, 543, 2502, 2984, 602, 666, 948, 4213, 1921, 609, 741, 5561, 543, 1628, 6216, 4656, 269, 901, 666, 581, 2944, 998, 519, 946, 540, 1514, 2923, 267, 3381, 267, 543, 824, 3059, 5867, 267, 799, 1450, 4213, 547, 1711, 543, 2671, 2984, 602, 616, 4143, 547, 741, 5561, 543, 602, 666, 948, 5397, 6278, 543, 6455, 563, 268, 21931, 2599, 568, 513, 3301, 1907, 610, 1062, 602, 12958, 610, 20674, 538, 10451, 2239, 1543, 971, 607, 2984, 267, 13602, 267, 543, 3197, 269, 634, 2239, 2599, 3096, 6620, 547, 5352, 1650, 6050, 267, 3197, 267, 543, 5188, 602, 666, 581, 1031, 538, 1585, 2923, 267, 1519, 3381, 3756, 267, 9413, 267, 543, 5691, 4641, 2833, 563, 268, 21931, 14839, 568, 513, 4480, 540, 1239, 14839, 602, 10905, 1239, 543, 9423, 547, 1711, 513, 3308, 2239, 269, 21931, 14839, 568, 513, 1259, 540, 9306, 1239, 538, 513, 8903, 1259, 602, 2337, 1004, 547, 1174, 543, 4497, 609, 519, 1239, 269, 898, 3322, 1210, 3308, 2609, 267, 971, 607, 12125, 267, 11708, 267, 543, 12222, 267, 547, 2995, 513, 1650, 543, 5968, 1344, 269, 634, 3804, 540, 2239, 14839, 568, 547, 1459, 1950, 1344, 538, 513, 1259, 602, 568, 2653, 547, 1174, 543, 12300, 563, 268, 11491, 628, 11986, 16691, 10371, 4111, 1836, 21314, 782, 1650, 2609, 585, 596, 454, 268, 1217, 278, 2593, 10371, 1374, 1062, 585, 7317, 5708, 454, 268, 9631, 20782, 2593, 10371, 2239, 2599, 547, 1020, 938, 2104, 2984, 454, 268, 21931, 21476, 281, 1323, 16407, 6193, 13979, 547, 11724, 543, 6987, 847, 6176, 15881, 2510, 630, 866, 3967, 476, 1708, 272, 994, 268, 20308, 7913, 21931, 281, 3778, 267, 7869, 543, 6657, 630, 1001, 276, 994, 268, 32492, 21931, 454, 268, 20308, 7913, 21931, 454, 268, 21931, 6987, 3555, 454, 268, 21931, 2276, 1299, 7849, 5678, 454, 268, 21931, 9452, 1467, 454, 268, 7849, 5678, 1299, 20308, 21931, 454, 268, 7849, 5678, 1299, 21931, 19087, 454, 268, 7849, 5678, 1299, 21931, 11106, 454, 268, 7849, 5678, 1299, 21931, 5303, 454, 268, 7849, 5678, 1299, 21931, 4197, 454, 268, 7849, 5678, 1299, 10439, 21931, 454, 268, 715, 298, 12435, 630, 301, 1551, 894, 11310, 23830, 5678, 264, 0, 763, 6671, 7326, 827, 26030, 2264, 568, 602, 950, 2199, 6608, 2628, 519, 26030, 267, 621, 7512, 811, 20737, 547, 10131, 811, 6285, 269, 1809, 602, 779, 711, 8209, 519, 2013, 267, 4966, 2161, 269, 3245, 513, 1867, 281, 763, 3790, 540, 23232, 689, 513, 26030, 2264, 4323, 616, 1419, 3152, 982, 519, 1942, 540, 519, 26030, 269, 634, 9601, 540, 26030, 2264, 6285, 616, 3335, 9072, 540, 4316, 267, 543, 4872, 3622, 5749, 1406, 519, 3119, 9072, 269, 11283, 725, 616, 2443, 543, 789, 1419, 2628, 909, 269, 968, 763, 1249, 568, 267, 9878, 513, 26030, 1281, 711, 1711, 513, 2344, 2223, 1767, 1280, 516, 3122, 3194, 779, 21013, 2098, 601, 517, 529, 269, 968, 2467, 2907, 568, 513, 2344, 1848, 681, 643, 1512, 320, 16047, 543, 8235, 4975, 267, 8419, 267, 6976, 513, 5916, 1269, 272, 269, 272, 2929, 538, 26030, 936, 827, 513, 3018, 538, 4873, 269, 11531, 267, 24611, 6170, 1269, 1704, 2929, 19620, 1949, 2864, 982, 2628, 513, 1269, 2004, 267, 1822, 26030, 2063, 1032, 269, 22768, 568, 2693, 547, 6108, 1269, 1015, 2929, 19620, 922, 1378, 1949, 32222, 547, 2628, 513, 1269, 4037, 267, 1822, 26030, 713, 1032, 269, 634, 17522, 547, 922, 2749, 2533, 949, 1942, 1776, 1269, 279, 2929, 563, 2690, 930, 4872, 267, 519, 1655, 3210, 1522, 581, 547, 2628, 519, 26030, 267, 1287, 946, 519, 6634, 540, 9489, 602, 1131, 723, 1044, 6170, 593, 6051, 547, 7794, 6880, 23640, 1354, 519, 1985, 4323, 269, 968, 2252, 596, 1810, 1406, 1451, 689, 519, 2250, 267, 596, 786, 1439, 909, 1373, 678, 753, 15701, 1586, 2223, 1767, 1546, 4011, 1695, 13642, 267, 519, 1007, 2212, 540, 5548, 334, 527, 974, 779, 6880, 5077, 3599, 269, 6787, 513, 2749, 17188, 267, 3085, 1406, 2628, 267, 610, 814, 2943, 547, 581, 16091, 267, 6604, 786, 1419, 4688, 2724, 269, 0, 18128, 777, 2610, 568, 606, 1439, 1278, 6193, 1184, 269, 898, 3340, 519, 10338, 540, 3002, 1648, 689, 519, 10450, 547, 7753, 954, 332, 12817, 4229, 543, 6460, 513, 5277, 883, 513, 3154, 269, 634, 12842, 1648, 4679, 519, 15452, 1648, 540, 519, 6675, 267, 7175, 873, 547, 9101, 519, 5277, 5123, 543, 4283, 519, 31529, 5123, 269, 476, 272, 454, 11039, 267, 713, 729, 1175, 513, 2241, 2626, 269, 1809, 972, 616, 1906, 811, 1919, 547, 917, 827, 713, 1888, 799, 786, 1118, 707, 1523, 2706, 2312, 563, 3383, 1577, 779, 4685, 1318, 883, 621, 563, 7659, 6875, 25498, 281, 1772, 5345, 777, 2610, 7736, 1278, 6193, 610, 1401, 1278, 6193, 888, 268, 5345, 777, 2610, 568, 606, 1439, 1278, 6193, 1184, 602, 3340, 606, 3403, 540, 1648, 547, 6460, 513, 5277, 883, 513, 3154, 563, 268, 631, 26163, 693, 519, 5277, 2627, 2744, 2614, 15452, 1648, 547, 7753, 954, 332, 12817, 4229, 543, 9101, 883, 519, 3154, 5123, 563, 268, 5345, 777, 2610, 568, 711, 608, 1278, 6193, 1317, 621, 1281, 711, 5305, 1648, 547, 519, 10450, 899, 608, 1278, 6193, 3157, 798, 269, 5502, 267, 621, 25309, 1648, 689, 519, 1604, 563, 3963, 568, 21381, 606, 1439, 1278, 6193, 1184, 888, 18128, 777, 2610, 568, 2808, 606, 1439, 1278, 6193, 1184, 1317, 621, 3340, 1648, 3403, 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 ]
[ 547, 5234, 888, 1692, 547, 3503, 513, 6490, 334, 547, 2659, 31740, 14474, 1154, 6490, 657, 585, 31740, 269, 17859, 540, 1018, 519, 1509, 334, 6227, 267, 519, 3044, 3898, 585, 513, 1509, 334, 568, 7361, 519, 1482, 269, 5675, 513, 6490, 334, 10610, 269, 1879, 1603, 513, 1509, 334, 547, 707, 5520, 267, 1376, 609, 519, 1292, 1448, 540, 519, 1509, 334, 865, 1256, 2576, 945, 1152, 1236, 15501, 519, 3561, 786, 917, 1018, 4635, 6490, 657, 6356, 1947, 269, 0, 2690, 25419, 281, 2717, 640, 4964, 630, 24433, 994, 263, 8025, 3041, 8121, 12087, 4041, 4959, 631, 21815, 12114, 13138, 3198, 20784, 28714, 676, 5616, 689, 21785, 994, 2005, 729, 519, 2104, 540, 8103, 602, 729, 693, 7196, 267, 543, 2055, 899, 834, 15367, 17993, 519, 1985, 9550, 8119, 21518, 15672, 269, 834, 2171, 267, 519, 4658, 257, 1223, 20834, 1125, 267, 855, 1100, 835, 1185, 10567, 602, 834, 2171, 267, 519, 7186, 257, 1185, 1044, 513, 811, 3617, 1793, 25830, 585, 938, 10340, 543, 585, 519, 4541, 269, 634, 5853, 532, 540, 519, 2136, 8315, 630, 7419, 264, 593, 476, 2190, 269, 5239, 476, 3707, 276, 6663, 1107, 538, 2110, 1107, 547, 2327, 4708, 543, 14375, 1620, 269, 4595, 519, 10661, 540, 519, 6167, 267, 519, 29735, 2477, 723, 1044, 1851, 519, 2477, 602, 723, 1034, 8362, 6462, 519, 3919, 538, 2262, 543, 632, 539, 563, 288, 598, 6921, 558, 4733, 540, 3906, 269, 2060, 519, 5137, 540, 519, 2136, 8315, 267, 519, 5250, 540, 19421, 540, 6167, 3906, 4553, 811, 1808, 4247, 630, 1122, 14959, 267, 20648, 267, 6167, 7968, 267, 6167, 7894, 1040, 1809, 607, 2038, 607, 5147, 476, 3707, 275, 267, 519, 2136, 2276, 543, 4789, 1185, 267, 609, 519, 6601, 1777, 517, 28418, 6876, 267, 3144, 3268, 547, 3715, 513, 1062, 540, 3486, 5238, 547, 1489, 513, 6051, 998, 2518, 2022, 21351, 2804, 9316, 269, 634, 4139, 3933, 8767, 8750, 630, 8379, 293, 1070, 519, 2622, 7813, 543, 1018, 2663, 2968, 519, 2622, 11780, 9257, 630, 310, 15674, 1070, 941, 547, 1106, 519, 22449, 540, 513, 1007, 2022, 21351, 2804, 1158, 1931, 16804, 8811, 322, 3620, 728, 9762, 550, 1775, 327, 322, 318, 3387, 25292, 815, 9232, 19651, 892, 1775, 327, 322, 318, 3387, 318, 15367, 815, 9232, 272, 267, 273, 267, 275, 267, 278, 267, 280, 267, 1015, 267, 1556, 267, 1321, 267, 1724, 722, 367, 1775, 327, 322, 318, 3387, 4671, 6374, 622, 815, 892, 476, 272, 722, 367, 2639, 763, 1296, 4682, 676, 267, 543, 519, 1158, 814, 4957, 609, 2804, 14051, 607, 513, 6117, 3196, 269, 634, 12019, 2782, 5641, 1279, 20224, 593, 1158, 7835, 609, 2804, 543, 1514, 9015, 267, 609, 519, 2136, 2276, 543, 519, 8168, 5742, 2220, 15781, 519, 3046, 1315, 627, 760, 269, 7324, 519, 2621, 602, 8329, 547, 513, 1114, 1950, 1158, 982, 693, 519, 1439, 540, 519, 2112, 616, 281, 519, 23542, 819, 543, 683, 4377, 517, 1436, 267, 519, 24034, 20037, 1867, 7799, 1080, 547, 2208, 267, 683, 565, 28515, 1143, 267, 476, 1556, 269, 5181, 543, 519, 834, 325, 697, 1996, 18483, 2580, 2736, 23957, 538, 5664, 5101, 4708, 12909, 267, 519, 8303, 2916, 6876, 267, 519, 30738, 2313, 9874, 13357, 267, 3624, 607, 513, 2706, 12741, 267, 519, 2883, 6433, 540, 476, 1220, 279, 269, 5769, 267, 3059, 1436, 563, 763, 5821, 540, 519, 2622, 9257, 269, 4653, 267, 519, 2022, 21351, 2239, 827, 519, 6167, 568, 2352, 609, 513, 1297, 3983, 2984, 543, 5359, 540, 5821, 269, 32678, 267, 519, 13813, 16519, 6363, 797, 1982, 543, 519, 9000, 540, 7029, 543, 4527, 538, 267, 1851, 1866, 267, 16850, 543, 12907, 616, 1806, 540, 519, 5821, 540, 519, 1158, 3919, 269, 1809, 519, 6167, 568, 1100, 6793, 982, 1018, 16588, 2276, 1450, 610, 875, 2484, 6433, 4656, 4422, 269, 1280, 1383, 267, 936, 519, 1296, 267, 519, 6167, 295, 10135, 814, 1185, 1114, 17050, 585, 519, 1158, 781, 15076, 982, 1018, 519, 6167, 568, 5827, 540, 2221, 267, 1519, 3257, 1945, 827, 519, 5817, 3123, 269, 769, 513, 834, 16447, 1510, 1780, 7964, 2580, 2518, 3435, 998, 647, 1440, 534, 1049, 543, 954, 32744, 5238, 616, 2877, 538, 1931, 547, 3035, 519, 4126, 602, 2518, 2042, 666, 581, 12193, 563, 9213, 267, 519, 2022, 21351, 2239, 827, 519, 6167, 568, 3109, 539, 856, 676, 513, 1297, 3983, 2984, 543, 5359, 540, 5821, 563, 3725, 845, 2339, 269, 4813, 518, 8942, 723, 1044, 1500, 547, 6963, 519, 6167, 269, 1715, 4485, 1590, 581, 20888, 269, 769, 519, 1433, 14348, 519, 2622, 581, 513, 1732, 1747, 1510, 519, 6167, 286, 7338, 717, 269, 1284, 1170, 814, 6074, 547, 2626, 519, 1739, 1079, 4831, 2399, 783, 6898, 281, 834, 763, 2622, 1510, 519, 6167, 543, 922, 14313, 543, 15051, 8119, 543, 834, 763, 2622, 609, 513, 2859, 11300, 543, 13229, 6167, 8119, 4813, 518, 6167, 14199, 4937, 918, 1993, 328, 589, 269, 7788, 534, 15565, 538, 519, 2062, 5320, 519, 1433, 585, 4896, 945, 30128, 827, 519, 2104, 540, 519, 4541, 269, 634, 6167, 2238, 616, 1759, 593, 1614, 22225, 281, 3486, 4708, 543, 3354, 267, 1480, 2924, 543, 19493, 7459, 267, 543, 4264, 1646, 269, 1280, 1142, 540, 891, 9587, 267, 519, 2278, 1287, 2708, 525, 2436, 621, 1185, 1500, 513, 3017, 267, 6606, 267, 2436, 519, 6167, 11478, 610, 711, 543, 875, 519, 1158, 1185, 3144, 1055, 538, 519, 2680, 602, 519, 6167, 1185, 1044, 811, 3860, 543, 2500, 269, 634, 3932, 568, 22150, 269, 1284, 3112, 798, 1510, 519, 6167, 267, 855, 513, 811, 3860, 543, 2500, 6167, 1131, 581, 14909, 269, 589, 2603, 540, 1898, 1344, 267, 855, 849, 2556, 543, 11213, 2152, 267, 568, 4843, 2059, 519, 1259, 563, 17471, 27606, 269, 634, 6167, 781, 1007, 2462, 11036, 568, 519, 476, 1704, 2622, 17644, 630, 306, 20980, 4886, 17644, 1040, 901, 568, 1018, 519, 6167, 16588, 2276, 723, 1044, 2111, 547, 3858, 593, 585, 519, 1974, 476, 1001, 276, 268, 10711, 271, 543, 3976, 513, 2797, 14207, 269, 22702, 547, 519, 7085, 3317, 1756, 4886, 17644, 630, 13270, 294, 264, 585, 476, 1220, 271, 268, 1001, 276, 267, 799, 5059, 593, 519, 3345, 4149, 1926, 1646, 7852, 267, 519, 1158, 3853, 15069, 6474, 1732, 547, 513, 2518, 1242, 1158, 781, 22524, 11163, 543, 6940, 2152, 563, 763, 476, 1704, 1158, 3853, 723, 1044, 9250, 607, 3084, 5867, 267, 609, 519, 7029, 540, 25772, 269, 1809, 609, 519, 10131, 540, 519, 476, 10711, 271, 3077, 267, 519, 6167, 781, 11528, 14413, 638, 2329, 786, 711, 14897, 269, 2311, 519, 1482, 942, 607, 519, 6167, 8232, 7027, 568, 17527, 1932, 1082, 3664, 267, 519, 1082, 5059, 6167, 3906, 616, 7303, 17396, 3664, 689, 1373, 1500, 593, 3444, 24408, 1154, 2152, 269, 769, 513, 3140, 1974, 538, 799, 6082, 616, 5051, 14656, 538, 593, 2933, 267, 2804, 2208, 568, 849, 6028, 922, 1665, 593, 2518, 8337, 267, 519, 7771, 538, 9265, 543, 1804, 21345, 8928, 1107, 2042, 602, 616, 4440, 865, 1454, 3084, 7259, 1359, 14543, 547, 2270, 269, 1656, 875, 798, 649, 1205, 519, 19261, 538, 519, 8733, 11640, 1063, 3345, 543, 3162, 5059, 3842, 519, 3084, 5867, 888, 6124, 3435, 286, 1717, 267, 12725, 267, 1007, 3435, 2291, 269, 634, 16126, 593, 519, 4105, 3761, 11800, 543, 2038, 9963, 8279, 540, 519, 7334, 2104, 814, 4547, 17105, 3007, 547, 519, 6043, 540, 3084, 543, 2199, 2950, 269, 8786, 267, 1589, 11451, 267, 6300, 12725, 256, 1107, 1809, 875, 798, 649, 6318, 1857, 4656, 543, 4656, 540, 2518, 8733, 3354, 630, 10175, 519, 1979, 14459, 264, 607, 4961, 540, 14761, 5051, 8095, 883, 513, 2199, 543, 3084, 25302, 4641, 286, 1656, 609, 513, 2964, 2065, 9637, 269, 634, 6167, 568, 18343, 883, 513, 4641, 602, 519, 1158, 814, 2451, 267, 543, 519, 3919, 3294, 814, 8149, 1932, 1082, 17691, 547, 513, 811, 11455, 5133, 267, 1519, 519, 7156, 540, 2104, 5481, 269, 634, 6167, 729, 711, 6963, 539, 607, 519, 1158, 4957, 1310, 519, 2063, 1158, 2112, 269, 589, 31387, 585, 513, 11528, 1689, 547, 6940, 1107, 2484, 3564, 519, 1158, 3853, 1107, 729, 5950, 538, 476, 1001, 275, 676, 519, 6167, 13564, 10706, 20648, 267, 855, 621, 814, 1044, 16618, 538, 519, 1158, 781, 15372, 269, 3245, 513, 3791, 6167, 13564, 10706, 267, 6167, 293, 5183, 267, 621, 14509, 281, 1677, 8011, 538, 513, 5912, 547, 6940, 267, 621, 3340, 513, 5289, 7004, 540, 6000, 607, 1367, 4961, 543, 1346, 540, 938, 3906, 602, 786, 9784, 519, 1514, 267, 2518, 543, 8733, 2157, 269, 4024, 971, 606, 3872, 1788, 581, 5645, 856, 1759, 593, 519, 29735, 2477, 286, 5808, 3116, 286, 22535, 1775, 327, 322, 3620, 728, 9762, 550, 316, 0, 297, 2794, 547, 12445, 30180, 547, 3406, 454, 347, 27845, 262, 12858, 1893, 7160, 540, 22816, 5406, 776, 2008, 347, 310, 7364, 2376, 827, 10878, 262, 12858, 1893, 2008, 30054, 3855, 1644, 547, 10878, 262, 12858, 1893, 538, 11078, 3785, 693, 22816, 12855, 12780, 2008, 347, 27845, 262, 12858, 1893, 9270, 2008, 27270, 17074, 630, 271, 994, 347, 27845, 262, 12858, 1893, 7127, 2008, 347, 6124, 652, 3817, 10288, 676, 2063, 7121, 3095, 9337, 2008, 347, 24874, 652, 3817, 10288, 676, 2063, 12575, 2008, 293, 1495, 4442, 9732, 2353, 4654, 9732, 10878, 262, 12858, 454, 1607, 568, 519, 1292, 7121, 540, 519, 10878, 262, 12858, 1893, 563, 22033, 827, 10878, 262, 12858, 912, 347, 31171, 1893, 1239, 2008, 347, 23458, 1920, 1475, 24554, 539, 1893, 2008, 27845, 262, 12858, 568, 513, 9112, 1893, 602, 568, 1152, 538, 26742, 19631, 946, 269, 4340, 547, 938, 7355, 585, 10014, 267, 2474, 538, 10878, 262, 12858, 1058, 711, 581, 1459, 538, 13366, 538, 519, 1292, 4408, 10628, 267, 855, 949, 581, 3773, 547, 519, 25715, 281, 4408, 10628, 269, 2353, 2474, 538, 713, 1893, 949, 581, 2139, 693, 25715, 281, 27845, 262, 12858, 563, 268, 21145, 281, 691, 5991, 822, 281, 5472, 3584, 281, 10878, 262, 12858, 2474, 6896, 676, 1888, 267, 971, 607, 834, 23991, 257, 610, 834, 290, 13511, 8487, 268, 21145, 281, 27845, 262, 12858, 16289, 1182, 281, 9664, 5627, 3606, 1344, 827, 10878, 262, 12858, 563, 268, 21145, 281, 27845, 262, 12858, 19790, 5733, 281, 10878, 262, 12858, 19790, 5733, 267, 19040, 676, 741, 851, 540, 4633, 563, 268, 21145, 281, 27845, 262, 12858, 4408, 281, 10878, 262, 12858, 2474, 602, 616, 1031, 547, 3277, 547, 1808, 2043, 610, 2516, 269, 9255, 4408, 267, 1629, 11618, 543, 824, 5686, 540, 4408, 666, 581, 1336, 538, 21145, 281, 301, 1868, 563, 268, 21145, 281, 27845, 262, 12858, 2453, 281, 10878, 262, 12858, 2516, 540, 1913, 11840, 730, 547, 2769, 2093, 267, 711, 8209, 2453, 538, 519, 21342, 2631, 563, 268, 21145, 281, 27845, 262, 12858, 17074, 281, 10878, 262, 12858, 17074, 267, 5627, 23431, 530, 5942, 3009, 602, 948, 609, 2870, 543, 5883, 13366, 563, 268, 21145, 281, 27845, 262, 12858, 2474, 676, 29721, 281, 10878, 262, 12858, 2474, 19040, 676, 741, 552, 1399, 332, 3098, 563, 268, 21145, 281, 27845, 262, 12858, 2474, 676, 6165, 281, 10878, 262, 12858, 2474, 19040, 676, 519, 6073, 543, 2796, 538, 799, 789, 616, 1031, 676, 10529, 563, 268, 21145, 281, 24404, 916, 6508, 689, 10878, 262, 12858, 281, 595, 20975, 609, 2474, 602, 22132, 689, 10878, 262, 12858, 563, 1607, 7121, 814, 519, 1739, 476, 1724, 23658, 20975, 267, 856, 540, 476, 1724, 2698, 563, 268, 1148, 5991, 822, 281, 5472, 5036, 630, 276, 524, 267, 476, 271, 552, 994, 268, 1148, 5991, 822, 281, 5472, 3584, 630, 1556, 524, 267, 476, 271, 552, 994, 268, 10878, 262, 12858, 16289, 1182, 630, 271, 524, 267, 476, 273, 552, 994, 268, 10878, 262, 12858, 5515, 540, 4633, 630, 272, 524, 267, 476, 271, 552, 994, 268, 10878, 262, 12858, 13838, 630, 271, 524, 267, 476, 272, 552, 994, 268, 10878, 262, 12858, 1875, 6122, 332, 2742, 3029, 630, 272, 524, 267, 476, 275, 552, 994, 268, 10878, 262, 12858, 17074, 630, 274, 524, 267, 476, 271, 552, 994, 268, 10878, 262, 12858, 2474, 676, 29721, 630, 278, 524, 267, 476, 271, 552, 994, 268, 10878, 262, 12858, 2474, 676, 30827, 3959, 630, 272, 524, 267, 476, 271, 552, 994, 268, 10878, 262, 12858, 2474, 676, 23066, 1599, 630, 274, 524, 267, 476, 271, 552, 994, 268, 10878, 262, 12858, 2474, 676, 6165, 630, 272, 524, 267, 476, 271, 552, 994, 268, 16301, 6508, 689, 10878, 262, 12858, 630, 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 ]
[ 269, 0, 8080, 547, 938, 21777, 1576, 1770, 782, 827, 1620, 543, 10442, 14292, 2326, 256, 1411, 1522, 581, 11842, 1018, 602, 1797, 4010, 910, 1810, 1405, 5855, 267, 649, 3513, 1205, 883, 621, 4166, 269, 1635, 519, 1439, 540, 713, 1770, 267, 596, 786, 723, 4121, 930, 3407, 1983, 602, 666, 948, 596, 1831, 513, 811, 5483, 2875, 950, 1210, 1114, 2010, 540, 1565, 2200, 780, 5575, 1055, 267, 1577, 781, 5581, 1018, 834, 13318, 2315, 531, 2326, 257, 616, 269, 15439, 2322, 267, 789, 616, 1022, 2645, 610, 2200, 602, 3610, 946, 547, 4001, 741, 4245, 269, 1452, 1223, 581, 1919, 899, 9499, 267, 960, 9248, 267, 2228, 4930, 267, 7044, 267, 7317, 7270, 267, 543, 1256, 3946, 6823, 2238, 269, 2060, 865, 1082, 3681, 856, 972, 267, 621, 781, 1271, 585, 721, 607, 6267, 547, 917, 952, 891, 2200, 616, 5363, 543, 22973, 269, 2334, 781, 1141, 707, 9241, 9715, 6268, 1983, 2097, 538, 13561, 2439, 3086, 267, 4952, 596, 1265, 1079, 1114, 2979, 9499, 593, 519, 1482, 1888, 855, 609, 5594, 1114, 1344, 3330, 873, 269, 1215, 1131, 596, 6430, 799, 835, 814, 1732, 14292, 2326, 286, 1284, 991, 513, 1259, 547, 2268, 741, 2298, 1759, 593, 1978, 4441, 269, 901, 1184, 568, 1572, 513, 834, 638, 1275, 2689, 2437, 543, 1934, 616, 922, 1883, 3334, 1384, 272, 269, 2878, 2704, 9892, 609, 4804, 11621, 4995, 6153, 14292, 2326, 5447, 5702, 609, 3872, 3853, 1305, 8521, 676, 1533, 3906, 971, 607, 23140, 16775, 630, 307, 1410, 553, 12708, 11310, 543, 10341, 264, 543, 20700, 4916, 630, 12626, 5678, 4515, 11351, 11621, 1040, 1280, 1383, 267, 513, 2257, 1837, 1590, 3382, 3584, 2838, 676, 519, 1533, 781, 6437, 1247, 4180, 602, 2296, 1893, 6267, 4309, 3617, 1489, 563, 453, 265, 2913, 781, 2161, 596, 3605, 513, 1514, 2090, 1433, 2519, 1932, 1454, 593, 3504, 12977, 3079, 540, 18167, 4514, 883, 2475, 1686, 269, 898, 949, 3668, 12972, 609, 2199, 1565, 6788, 543, 3976, 1683, 1447, 1871, 547, 596, 563, 273, 269, 2878, 3519, 1061, 4886, 543, 3213, 11447, 4995, 10866, 2326, 1020, 2035, 18928, 2429, 1142, 3992, 610, 3184, 269, 1358, 849, 1921, 1346, 2035, 2066, 1585, 6810, 540, 519, 1570, 269, 589, 1434, 4199, 5849, 513, 5347, 2095, 540, 1344, 267, 1818, 1950, 2093, 4443, 547, 1174, 936, 942, 563, 453, 265, 6056, 1394, 547, 513, 5172, 1650, 1504, 3126, 596, 10150, 269, 3962, 1433, 3710, 2390, 3105, 2984, 267, 3197, 7960, 267, 543, 4729, 6050, 2968, 21950, 1107, 11744, 5140, 1523, 1646, 543, 25843, 780, 2414, 2285, 596, 2259, 7311, 891, 3741, 267, 649, 4312, 5423, 1896, 5751, 2429, 713, 1770, 269, 8625, 267, 649, 786, 5659, 3732, 14292, 2326, 543, 1865, 741, 9342, 543, 12755, 269, 5457, 267, 4742, 9952, 693, 12570, 3450, 2200, 2337, 2327, 602, 707, 1565, 1995, 3788, 2502, 267, 6209, 267, 543, 4143, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 27324, 14645, 7392, 454, 268, 7179, 19405, 454, 268, 6480, 13846, 1297, 540, 3817, 912, 268, 7913, 19405, 454, 268, 6480, 13846, 1297, 540, 4945, 610, 20801, 3817, 912, 763, 13138, 305, 5359, 585, 918, 1700, 279, 543, 1164, 1153, 2257, 616, 1631, 2139, 269, 634, 1007, 19019, 531, 10049, 5623, 543, 10088, 1998, 630, 8379, 6938, 264, 6299, 7879, 585, 918, 1700, 274, 543, 476, 275, 1700, 279, 2296, 1893, 6575, 543, 2542, 267, 918, 1700, 274, 543, 476, 275, 1700, 277, 5053, 1893, 6575, 543, 2542, 267, 543, 918, 1700, 1321, 6128, 616, 1631, 2139, 585, 2689, 269, 3629, 1857, 6085, 998, 5412, 476, 1428, 267, 476, 1708, 274, 267, 610, 1129, 909, 585, 513, 5437, 1445, 1895, 563, 763, 2298, 2689, 568, 519, 1267, 540, 3573, 2963, 11018, 543, 2079, 676, 7147, 7855, 540, 875, 1134, 14292, 2326, 14183, 519, 7355, 585, 2298, 538, 519, 1641, 10391, 19875, 269, 7427, 519, 6402, 2630, 547, 2070, 519, 8464, 543, 1224, 519, 2963, 1031, 547, 3313, 2298, 563, 4089, 476, 272, 269, 7147, 12708, 11310, 543, 10341, 630, 15288, 16775, 264, 543, 2296, 5678, 4515, 11351, 11621, 630, 5085, 4916, 264, 1325, 9892, 454, 15288, 16775, 9906, 4939, 454, 15288, 16775, 11819, 4939, 454, 5085, 4916, 9906, 4939, 454, 5085, 4916, 11819, 4939, 454, 4089, 476, 273, 269, 10417, 4886, 543, 681, 15282, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9429, 267, 3597, 532, 693, 9136, 282, 7583, 916, 543, 20718, 6978, 1352, 23411, 2356, 19316, 267, 23589, 569, 26438, 693, 3490, 267, 1419, 19882, 538, 513, 10178, 11057, 11460, 282, 14270, 2544, 513, 7522, 267, 535, 2590, 539, 9245, 269, 769, 4148, 2803, 12412, 6140, 12363, 267, 21782, 6438, 267, 3813, 1495, 267, 540, 1896, 547, 1082, 2110, 5198, 6996, 11251, 538, 19659, 538, 513, 5394, 2989, 3844, 7852, 267, 1142, 5198, 1889, 12946, 909, 547, 476, 279, 21782, 7410, 593, 513, 986, 577, 529, 602, 568, 2356, 3812, 3564, 5580, 21782, 2280, 547, 513, 1016, 3634, 9133, 282, 21782, 7410, 5089, 850, 547, 16172, 7895, 545, 8215, 267, 9991, 3003, 693, 15657, 610, 1927, 609, 11105, 2028, 1712, 540, 3844, 7852, 282, 2539, 1350, 2541, 705, 32681, 269, 1975, 833, 2280, 21053, 643, 550, 337, 958, 19316, 267, 561, 766, 25544, 610, 9065, 622, 267, 726, 2794, 267, 513, 1233, 1652, 282, 1350, 6979, 1360, 21376, 267, 4744, 25630, 267, 7425, 534, 748, 267, 513, 1233, 1652, 282, 2539, 1350, 2541, 3622, 10156, 982, 21782, 2280, 267, 562, 518, 767, 612, 282, 5580, 1350, 2541, 2147, 547, 2539, 610, 1341, 25773, 607, 1279, 607, 21782, 2280, 267, 476, 276, 268, 280, 5991, 5703, 269, 19953, 1206, 476, 273, 282, 2539, 1166, 648, 339, 5256, 610, 25062, 282, 19790, 2742, 5750, 17675, 547, 1351, 807, 576, 748, 267, 8650, 610, 1035, 636, 3729, 267, 476, 274, 268, 280, 5991, 5703, 282, 12779, 320, 1134, 2919, 282, 5580, 1166, 648, 339, 25251, 282, 19790, 2742, 535, 597, 1067, 982, 1350, 6979, 267, 711, 4742, 967, 13894, 267, 2147, 547, 2539, 855, 4130, 267, 25861, 569, 476, 274, 268, 276, 5991, 5703, 267, 1350, 629, 9317, 267, 3003, 267, 19114, 538, 9776, 543, 8720, 12779, 320, 855, 6028, 9133, 1863, 267, 513, 1233, 1652, 282, 12779, 320, 2356, 967, 13894, 267, 476, 273, 5991, 5703, 269, 700, 21288, 2737, 476, 273, 269, 853, 600, 839, 476, 274, 269, 29191, 776, 1350, 629, 9317, 282, 6163, 1863, 267, 20034, 846, 1657, 269, 595, 776, 18462, 561, 766, 25544, 547, 1073, 14075, 267, 1544, 334, 8410, 557, 343, 269, 1535, 284, 476, 280, 630, 335, 8432, 30666, 344, 1916, 11854, 2886, 476, 278, 267, 21050, 923, 543, 5705, 1886, 923, 282, 476, 273, 538, 588, 18255, 2279, 337, 12727, 853, 523, 582, 7469, 5300, 3813, 1495, 23628, 630, 310, 5306, 4700, 918, 2863, 2763, 5631, 2059, 5032, 689, 918, 11445, 313, 21343, 9539, 7614, 267, 8109, 15729, 547, 5375, 15729, 609, 5638, 538, 9456, 7167, 337, 643, 328, 630, 301, 600, 28992, 264, 543, 590, 631, 335, 636, 531, 18553, 282, 590, 269, 3897, 573, 9332, 636, 630, 299, 4700, 645, 3994, 333, 269, 26742, 19631, 538, 715, 918, 11445, 313, 21343, 9539, 7614, 543, 8109, 15729, 563, 303, 15959, 658, 630, 27271, 2110, 24331, 264, 610, 5993, 267, 29822, 8913, 1111, 539, 267, 3006, 19211, 610, 21221, 19211, 267, 16245, 547, 1024, 545, 3634, 267, 1419, 609, 513, 1134, 2919, 24516, 1399, 29127, 25959, 748, 3490, 269, 23516, 16405, 2356, 1279, 543, 7522, 282, 14270, 2544, 513, 10053, 535, 16206, 540, 24827, 269, 769, 4148, 2803, 12412, 513, 7522, 610, 1930, 3443, 1834, 267, 3006, 21782, 6438, 267, 1419, 29169, 282, 21782, 7410, 22072, 610, 538, 3673, 2873, 267, 7895, 545, 8215, 269, 1975, 833, 2280, 771, 691, 545, 6819, 1657, 1350, 6979, 282, 1350, 6979, 1341, 25773, 3160, 610, 21376, 267, 7522, 267, 607, 1279, 607, 547, 3476, 982, 21782, 2280, 267, 476, 274, 268, 1556, 5991, 5703, 267, 1350, 629, 9317, 610, 4552, 344, 267, 1073, 339, 2224, 547, 1035, 636, 3729, 267, 513, 1233, 1652, 282, 2539, 1350, 2541, 2356, 476, 274, 5991, 5703, 269, 19953, 339, 476, 272, 267, 25251, 282, 19790, 2742, 7522, 267, 20425, 267, 535, 597, 1067, 982, 1350, 6979, 267, 5887, 337, 958, 9240, 3437, 610, 19114, 1594, 1393, 267, 967, 13894, 693, 15657, 267, 476, 274, 268, 1177, 2740, 267, 17729, 607, 476, 272, 513, 1233, 609, 476, 274, 8371, 1813, 547, 12760, 267, 10355, 22072, 607, 2663, 1023, 4389, 282, 1659, 985, 609, 610, 1510, 513, 6241, 267, 782, 267, 610, 1152, 3844, 513, 1233, 20034, 846, 610, 609, 513, 15513, 540, 24827, 693, 30085, 540, 6241, 267, 13994, 1637, 1459, 693, 610, 1657, 1647, 540, 19790, 2742, 610, 1063, 3490, 540, 6241, 543, 1560, 540, 19790, 2742, 267, 610, 476, 271, 282, 1289, 639, 1134, 2919, 267, 533, 2426, 550, 610, 8792, 569, 536, 604, 573, 267, 2356, 21933, 1664, 267, 28278, 610, 1350, 629, 9317, 282, 12779, 320, 2356, 1454, 1447, 982, 3368, 607, 1279, 607, 19790, 2742, 267, 967, 13894, 267, 476, 273, 5991, 5703, 267, 1350, 629, 9317, 269, 700, 21288, 2737, 2356, 476, 273, 267, 610, 476, 271, 267, 1073, 339, 2224, 269, 853, 600, 839, 476, 274, 269, 29191, 776, 1350, 629, 9317, 282, 6163, 1863, 267, 20034, 846, 1657, 269, 1535, 284, 476, 1556, 630, 335, 8432, 30666, 344, 1916, 11854, 2886, 1341, 25773, 476, 2004, 267, 4000, 267, 32065, 3127, 543, 17335, 5607, 282, 476, 3066, 538, 588, 18255, 2279, 337, 1421, 7839, 563, 303, 15959, 658, 267, 8913, 1111, 539, 267, 1419, 3597, 532, 693, 9136, 269, 26943, 916, 28795, 267, 26799, 267, 1024, 545, 3634, 267, 4839, 3481, 269, 23516, 16405, 5276, 267, 9450, 282, 14270, 2544, 513, 535, 2590, 539, 9245, 610, 513, 535, 16206, 540, 24827, 269, 769, 4148, 2803, 12412, 513, 22072, 267, 12363, 267, 26438, 3443, 1834, 267, 8371, 813, 5962, 547, 3844, 7852, 267, 1142, 7936, 771, 691, 545, 6819, 609, 513, 21782, 2280, 282, 21782, 7410, 22072, 267, 11303, 676, 513, 8258, 540, 2110, 24827, 693, 3490, 267, 5705, 2105, 676, 513, 1279, 267, 7347, 267, 513, 1233, 6438, 1490, 16824, 267, 6462, 593, 513, 1279, 267, 533, 2426, 550, 1289, 639, 9944, 21782, 2280, 267, 1289, 639, 7587, 5024, 588, 6559, 282, 1579, 626, 690, 13904, 4944, 833, 7410, 23401, 3339, 21782, 7410, 4849, 585, 9000, 540, 1490, 16824, 267, 9648, 693, 3490, 540, 4870, 2803, 12412, 543, 6456, 538, 26627, 25958, 6978, 1352, 23411, 269, 1975, 833, 2280, 21053, 643, 550, 337, 958, 19316, 282, 1350, 6979, 1341, 25773, 3160, 267, 8792, 267, 10355, 476, 271, 267, 2147, 267, 1350, 629, 9317, 267, 513, 1233, 1652, 269, 19953, 1206, 476, 273, 267, 2539, 25062, 267, 4389, 547, 513, 19790, 2742, 267, 21053, 958, 24609, 539, 267, 476, 278, 268, 1556, 5991, 5703, 267, 513, 1233, 1652, 282, 12779, 320, 476, 271, 282, 5580, 1166, 648, 339, 25251, 282, 19790, 2742, 535, 597, 1067, 982, 1350, 6979, 267, 2147, 547, 2539, 1166, 648, 339, 855, 23756, 21053, 958, 267, 476, 278, 5991, 5703, 267, 1350, 629, 9317, 267, 19114, 6366, 543, 6534, 593, 12779, 320, 267, 1035, 636, 3729, 267, 513, 1233, 1652, 282, 12779, 320, 1341, 25773, 607, 1279, 607, 19790, 2742, 269, 700, 21288, 2737, 476, 273, 269, 853, 600, 839, 476, 274, 269, 29191, 776, 1350, 629, 9317, 269, 1535, 284, 476, 280, 563, 11854, 2886, 476, 273, 267, 9341, 7178, 4000, 267, 28801, 267, 18010, 543, 8478, 282, 476, 272, 538, 588, 18255, 2279, 337, 12727, 3474, 1430, 328, 777, 549, 1598, 1092, 6182, 1047, 321, 1421, 21601, 28992, 267, 538, 21411, 822, 24546, 5211, 563, 25486, 783, 610, 21064, 267, 540, 1585, 4356, 269, 23516, 16405, 5276, 2000, 766, 25544, 610, 1279, 31059, 267, 9450, 610, 18202, 282, 14270, 2544, 606, 4652, 2590, 539, 610, 513, 535, 2590, 539, 9245, 610, 513, 535, 16206, 540, 24827, 269, 769, 4148, 2803, 12412, 513, 3443, 1834, 267, 1930, 610, 10355, 26438, 282, 21782, 7410, 7895, 545, 8215, 269, 1975, 833, 2280, 561, 766, 25544, 267, 1073, 14075, 267, 14248, 328, 10364, 610, 3592, 20085, 267, 2356, 21053, 643, 550, 337, 958, 19316, 267, 2356, 9991, 609, 1350, 6979, 282, 1350, 6979, 21376, 267, 10355, 3160, 267, 7425, 534, 748, 547, 1728, 13824, 267, 4744, 25630, 610, 2147, 267, 2356, 513, 1233, 1652, 282, 2539, 1350, 2541, 2356, 10156, 982, 21782, 2280, 267, 476, 271, 268, 278, 5991, 5703, 267, 513, 1233, 1652, 610, 8792, 569, 513, 1233, 539, 282, 5580, 1350, 2541, 607, 1279, 607, 21782, 2280, 267, 476, 274, 268, 1691, 5991, 5703, 269, 19953, 1206, 476, 273, 282, 2539, 1166, 648, 339, 5256, 610, 25062, 282, 19790, 2742, 1360, 2147, 547, 5580, 1350, 2541, 267, 609, 610, 1510, 513, 12779, 320, 282, 5580, 1166, 648, 339, 25251, 267, 19790, 2742, 2147, 547, 535, 597, 1067, 538, 9403, 982, 1350, 6979, 267, 2356, 4742, 967, 13894, 267, 14248, 328, 10364, 267, 9065, 622, 268, 22088, 10364, 610, 10355, 1073, 14075, 267, 1073, 339, 2224, 610, 1016, 659, 1393, 267, 5347, 610, 1098, 14287, 24821, 846, 267, 1350, 629, 9317, 267, 19114, 538, 9776, 543, 804, 553, 4771, 8728, 540, 12779, 320, 267, 513, 1233, 1652, 282, 12779, 320, 2147, 547, 543, 1016, 3225, 16226, 19790, 2742, 267, 1419, 609, 8589, 1166, 2355, 693, 3490, 269, 700, 21288, 2737, 476, 273, 267, 17618, 524, 2317, 622, 269, 853, 600, 839, 476, 274, 269, 29191, 776, 14248, 760, 810, 573, 267, 1350, 629, 9317, 282, 6163, 3982, 267, 20034, 846, 1657, 269, 595, 776, 18462, 1341, 25773, 14248, 760, 810, 573, 267, 21053, 643, 550, 337, 958, 19316, 269, 1535, 284, 476, 278, 267, 476, 280, 267, 476, 1015, 630, 14683, 4874, 30666, 344, 1916, 11854, 2886, 1341, 25773, 476, 30420, 267, 9341, 267, 31210, 543, 3636, 22465, 282, 476, 5655, 538, 588, 18255, 2279, 337, 1421, 7839, 563, 25486, 783, 610, 21064, 267, 29127, 25959, 748, 610, 588, 20325, 26448, 267, 3597, 532, 689, 2539, 9136, 267, 3006, 13735, 269, 23516, 16405, 9450, 610, 18202, 267, 5276, 282, 14270, 2544, 513, 535, 2590, 539, 9245, 547, 513, 535, 16206, 540, 24827, 269, 769, 4148, 2803, 12412, 606, 28608, 267, 3813, 1495, 267, 7301, 21782, 9967, 540, 1896, 5089, 850, 267, 21782, 6438, 267, 476, 272, 21758, 5198, 6996, 16559, 2206, 569, 593, 14595, 5011, 543, 1341, 25773, 813, 5962, 547, 1279, 3844, 7852, 282, 986, 577, 529, 2468, 21103, 9317, 610, 13617, 539, 267, 2356, 10678, 538, 606, 14455, 30679, 6681, 1448, 282, 21782, 7410, 22072, 610, 19610, 267, 1419, 538, 476, 273, 9343, 267, 5089, 850, 610, 1360, 16172, 7895, 545, 8215, 282, 705, 32681, 630, 21639, 264, 1350, 2541, 5828, 2476, 689, 986, 577, 529, 269, 1975, 833, 2280, 9065, 622, 267, 21053, 643, 550, 337, 958, 19316, 267, 9991, 609, 1350, 6979, 282, 1350, 6979, 21376, 267, 513, 1233, 1652, 282, 2539, 1350, 2541, 513, 1507, 7425, 534, 748, 4336, 267, 476, 272, 268, 276, 5991, 5703, 282, 5580, 1350, 2541, 909, 547, 1079, 22188, 607, 1279, 607, 21782, 2280, 267, 476, 274, 268, 1556, 5991, 5703, 267, 7425, 534, 748, 269, 19953, 1206, 476, 273, 282, 2539, 1166, 648, 339, 5256, 610, 25062, 282, 19790, 2742, 7425, 534, 748, 267, 1341, 25773, 1073, 14075, 268, 22088, 10364, 267, 17031, 21053, 958, 267, 1016, 659, 1393, 267, 476, 276, 268, 278, 5991, 5703, 267, 513, 1233, 1652, 282, 12779, 320, 6094, 569, 7425, 534, 748, 267, 1226, 16226, 19790, 2742, 282, 5580, 1166, 648, 339, 25251, 282, 19790, 2742, 535, 597, 1067, 982, 1350, 6979, 267, 17618, 14248, 328, 10364, 267, 17031, 21053, 958, 267, 3592, 607, 1279, 607, 21782, 2280, 267, 1350, 629, 9317, 267, 24821, 846, 267, 3003, 267, 19114, 538, 9776, 543, 804, 553, 4771, 8728, 540, 12779, 320, 267, 513, 1233, 1652, 282, 12779, 320, 14248, 328, 10364, 2000, 766, 25544, 267, 8650, 267, 9133, 1419, 13713, 16846, 539, 267, 6366, 543, 476, 273, 268, 651, 601, 539, 609, 19114, 1594, 1393, 267, 967, 13894, 269, 700, 21288, 2737, 476, 273, 267, 17618, 524, 2317, 622, 267, 15123, 1506, 269, 853, 600, 839, 476, 274, 269, 29191, 776, 1350, 629, 9317, 282, 6163, 598, 333, 622, 693, 3490, 267, 20034, 846, 269, 595, 776, 18462, 14248, 760, 810, 573, 267, 21053, 643, 550, 337, 958, 19316, 269, 1535, 284, 476, 280, 630, 335, 8432, 30666, 344, 1916, 11854, 2886, 1341, 25773, 476, 2412, 267, 15911, 4525, 540, 1312, 8280, 7371, 12742, 282, 476, 273, 538, 588, 18255, 2279, 337, 1421, 715, 21601, 28992, 543, 645, 1824, 32272, 267, 7187, 16899, 540, 3162, 4000, 543, 918, 11445, 313, 21343, 9539, 7614, 563, 303, 15959, 658, 267, 588, 20325, 26448, 267, 3597, 532, 689, 2539 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 27587, 4110, 538, 11114, 5678, 4065, 689, 1530, 9567, 2817, 2160, 267, 3162, 9705, 269, 543, 606, 631, 269, 24589, 269, 538, 11114, 689, 808, 26214, 269, 594, 723, 513, 6612, 585, 2069, 543, 2029, 269, 594, 723, 1044, 3238, 538, 11114, 1893, 2069, 543, 1382, 585, 811, 982, 476, 1015, 1296, 543, 723, 8036, 7366, 540, 11114, 1893, 6267, 2066, 519, 8608, 267, 2228, 543, 538, 2168, 13460, 269, 0, 25898, 1411, 13298, 15026, 10794, 585, 8866, 454, 25898, 1411, 13298, 585, 8866, 568, 513, 3059, 4647, 3014, 602, 3568, 476, 10441, 6486, 602, 616, 3501, 585, 3214, 543, 3885, 269, 7591, 568, 2241, 281, 835, 1268, 14509, 513, 3556, 16965, 547, 519, 1895, 543, 3025, 4267, 609, 741, 3903, 543, 606, 7778, 540, 1946, 256, 14348, 1411, 13298, 585, 8866, 568, 513, 1390, 1259, 547, 12954, 6643, 543, 811, 982, 513, 1906, 17254, 326, 956, 693, 12129, 267, 1472, 519, 3786, 13933, 267, 610, 20471, 596, 2811, 3168, 585, 1945, 547, 798, 269, 634, 2055, 2039, 689, 25064, 547, 2219, 1008, 3183, 543, 616, 3617, 585, 7498, 9824, 773, 1324, 543, 19737, 13262, 29960, 10632, 543, 11242, 454, 4322, 7317, 3211, 543, 3756, 616, 513, 1390, 1259, 547, 6338, 2566, 2359, 547, 1053, 538, 7820, 9344, 269, 10743, 786, 1451, 547, 18737, 1211, 1518, 519, 3017, 1063, 2057, 762, 543, 796, 28300, 762, 2566, 910, 1211, 1518, 2081, 547, 2061, 267, 5965, 585, 267, 610, 2057, 11991, 2566, 23923, 12003, 1983, 547, 721, 2483, 1626, 7734, 585, 8866, 6168, 10076, 2657, 910, 32695, 547, 707, 3214, 827, 2790, 1072, 568, 4443, 950, 621, 781, 851, 540, 707, 3232, 6296, 269, 1452, 476, 1691, 2835, 585, 3214, 827, 2790, 1072, 786, 1832, 519, 6643, 543, 1565, 2469, 1279, 1310, 519, 1650, 7475, 563, 19352, 513, 31541, 12262, 5800, 20137, 676, 8866, 585, 519, 15858, 454, 296, 993, 513, 4605, 1433, 24158, 543, 21689, 267, 543, 1250, 5172, 3283, 616, 827, 11505, 269, 1879, 1250, 1453, 941, 2370, 543, 5181, 3357, 1472, 267, 972, 941, 5909, 320, 454, 301, 710, 2859, 8342, 5500, 16514, 7734, 2334, 4024, 5620, 8866, 700, 2795, 532, 4934, 700, 3716, 910, 2271, 30102, 23467, 1041, 532, 454, 2171, 2731, 899, 547, 1224, 16168, 4605, 2835, 538, 938, 2777, 269, 594, 2648, 1373, 2111, 547, 1224, 513, 1433, 543, 2348, 519, 3214, 28617, 856, 10978, 610, 17254, 326, 1782, 22290, 803, 269, 634, 454, 22826, 27919, 543, 9877, 1145, 281, 589, 3883, 5903, 910, 1733, 574, 1910, 22544, 9752, 454, 288, 4945, 762, 1592, 540, 2835, 547, 948, 4001, 6568, 267, 11587, 543, 824, 1514, 1983, 547, 1453, 267, 2059, 609, 513, 3095, 547, 17676, 8216, 28085, 585, 1514, 1983, 2200, 563, 2171, 782, 723, 1434, 2395, 543, 3983, 2395, 269, 1280, 930, 540, 721, 267, 2523, 952, 2790, 1072, 2152, 616, 3238, 267, 519, 3983, 2395, 666, 581, 782, 21791, 267, 865, 950, 789, 5734, 649, 991, 547, 723, 519, 12003, 1983, 547, 4308, 530, 328, 7498, 14399, 781, 7734, 827, 9484, 9653, 17520, 454, 20225, 9653, 4160, 538, 3214, 666, 581, 4101, 269, 3367, 891, 1453, 781, 2835, 827, 9668, 4160, 602, 786, 948, 707, 1126, 11883, 563, 3393, 266, 2835, 827, 4606, 585, 3214, 454, 20373, 543, 2689, 540, 476, 3393, 266, 2835, 827, 4606, 543, 4664, 585, 1453, 269, 4279, 1433, 25926, 585, 5885, 1514, 15041, 10899, 1565, 1851, 1453, 563, 278, 9669, 547, 25166, 790, 2659, 4132, 779, 11020, 585, 30142, 6638, 454, 5970, 596, 2479, 8068, 602, 596, 630, 528, 707, 1453, 264, 17743, 593, 30852, 811, 982, 5360, 9323, 286, 2334, 3983, 3377, 16853, 609, 596, 543, 707, 1053, 811, 982, 1434, 3377, 286, 901, 568, 875, 519, 1480, 2634, 1568, 267, 1256, 689, 513, 1762, 2085, 269, 3776, 1134, 268, 26074, 12058, 1616, 547, 2149, 721, 543, 2327, 938, 6668, 267, 865, 789, 7683, 11571, 519, 1604, 585, 6937, 269, 634, 2634, 779, 12402, 547, 1445, 593, 519, 2942, 568, 1572, 968, 10864, 18356, 9186, 1848, 1924, 267, 952, 596, 2461, 14126, 602, 707, 1453, 11168, 519, 2942, 267, 917, 602, 621, 779, 2507, 0, 5719, 1023, 609, 519, 2360, 540, 630, 320, 264, 1377, 540, 4250, 543, 630, 321, 264, 1808, 4566, 585, 2962, 5288, 269, 2489, 7840, 593, 8456, 4724, 15067, 29104, 26912, 2827, 543, 2965, 3478, 15067, 29104, 15833, 269, 634, 26901, 531, 540, 4250, 8507, 538, 811, 15028, 8456, 4724, 26912, 1637, 543, 519, 4082, 540, 6793, 15752, 547, 1205, 15833, 269, 1717, 267, 2965, 3478, 15833, 7018, 3648, 811, 1419, 585, 590, 338, 8391, 513, 1808, 1544, 585, 2962, 269, 4014, 2962, 729, 19448, 26327, 676, 4250, 1377, 930, 1377, 540, 26901, 531, 729, 2556, 585, 2962, 547, 2049, 269, 589, 1808, 1544, 729, 711, 6190, 585, 2962, 547, 2408, 269, 4014, 519, 476, 273, 8200, 3800, 941, 4299, 676, 1114, 4830, 4632, 267, 1346, 1004, 3478, 15833, 941, 849, 811, 15028, 4724, 3257, 865, 269, 634, 2164, 616, 3379, 609, 824, 2090, 593, 4250, 26901, 531, 543, 3527, 267, 543, 1179, 2827, 941, 4843, 593, 519, 1909, 540, 1808, 2962, 4566, 538, 519, 8144, 540, 8456, 883, 3527, 269, 630, 736, 1201, 4700, 630, 303, 1910, 322, 2562, 23859, 18482, 16680, 630, 322, 264, 476, 1220, 277, 14905, 267, 782, 2924, 11603, 1916, 5472, 3163, 4750, 19032, 630, 3008, 297, 290, 264, 9479, 454, 268, 4317, 10017, 454, 268, 24205, 543, 11572, 3163, 454, 268, 11083, 2316, 307, 11070, 292, 267, 30264, 2752, 966, 306, 9501, 4488, 9281, 2975, 12813, 3198, 5508, 8028, 3582, 661, 13697, 4488, 4811, 5442, 454, 268, 11083, 2316, 307, 11070, 2464, 1299, 454, 268, 11083, 2316, 307, 11070, 2464, 570, 8582, 19181, 717, 4953, 16249, 590, 9816, 4811, 267, 966, 306, 12813, 3198, 5508, 8028, 3582, 454, 268, 30264, 2752, 267, 1299, 0, 289, 5451, 6113, 16808, 2426, 320, 18962, 3377, 1299, 2534, 10311, 454, 289, 731, 16808, 2426, 320, 18962, 9337, 281, 661, 8306, 1175, 513, 24888, 547, 513, 8273, 835, 888, 293, 686, 267, 476, 3066, 4119, 476, 1001, 275, 267, 476, 5881, 281, 9610, 278, 281, 1691, 7537, 1923, 15760, 281, 570, 454, 19613, 540, 519, 21074, 633, 535, 1170, 675, 713, 6640, 630, 305, 10013, 994, 2304, 17181, 7997, 476, 272, 269, 276, 5998, 1657, 543, 476, 1428, 5998, 1472, 519, 20349, 3135, 568, 538, 1747, 563, 8698, 540, 519, 21074, 633, 535, 1170, 675, 713, 6640, 630, 11085, 6369, 1357, 31748, 994, 763, 6381, 1472, 519, 20349, 616, 10169, 28430, 269, 898, 568, 4277, 547, 4063, 602, 519, 1804, 31593, 267, 6059, 547, 2270, 4114, 269, 476, 12573, 2929, 24140, 7397, 540, 29351, 593, 513, 3259, 540, 476, 2412, 5998, 1152, 3812, 513, 6263, 535, 1170, 675, 20349, 630, 810, 2484, 267, 693, 2547, 1916, 2467, 616, 1896, 4277, 5013, 547, 7747, 912, 268, 634, 12136, 540, 713, 3781, 781, 20349, 2306, 621, 26363, 602, 1282, 519, 2250, 2395, 972, 723, 538, 25246, 1044, 835, 610, 1896, 2147, 1507, 26706, 896, 519, 4672, 602, 4682, 29462, 4849, 585, 519, 4767, 4672, 28471, 323, 6425, 563, 268, 898, 4667, 602, 519, 7299, 21677, 1063, 519, 31593, 543, 519, 2627, 568, 1360, 2178, 543, 602, 519, 535, 1170, 675, 20349, 729, 1152, 513, 1507, 834, 548, 752, 720, 2580, 910, 1278, 3772, 513, 1454, 6793, 20349, 1131, 723, 1044, 4397, 547, 2049, 269, 769, 4334, 267, 14694, 3350, 540, 519, 29351, 693, 3178, 5526, 547, 581, 5266, 2653, 563, 268, 2201, 519, 824, 1688, 267, 519, 18640, 540, 519, 10085, 651, 538, 519, 2250, 476, 4366, 3108, 4667, 547, 723, 11074, 543, 814, 1044, 24715, 908, 896, 519, 4591, 7795, 571, 684, 10750, 269, 898, 729, 6700, 267, 689, 13091, 543, 22636, 3270, 267, 602, 5310, 519, 29351, 1256, 3323, 547, 2095, 1394, 5045, 2072, 2509, 621, 2707, 563, 2005, 568, 2009, 547, 8263, 602, 5310, 4587, 10085, 7719, 689, 519, 9105, 10937, 535, 1170, 675, 2220, 1301, 11074, 519, 5087, 2072, 3350, 267, 3361, 606, 13250, 540, 29351, 538, 713, 1858, 267, 543, 513, 18807, 2095, 267, 2059, 609, 513, 1507, 535, 1170, 675, 20349, 593, 1283, 563, 268, 898, 4667, 4023, 547, 8263, 602, 713, 20349, 1223, 1152, 519, 519, 1376, 540, 513, 3677, 835, 2943, 547, 2097, 267, 610, 547, 513, 3126, 540, 2147, 2621, 267, 930, 540, 799, 1223, 1134, 2049, 337, 896, 519, 824, 6810, 540, 519, 10085, 651, 267, 1775, 4318, 269, 896, 519, 966, 520, 333, 1690, 758, 1638, 4672, 1698, 269, 769, 602, 2013, 267, 519, 12136, 540, 795, 7238, 330, 592, 25632, 879, 1186, 630, 332, 3881, 1216, 17160, 264, 568, 513, 2462, 9651, 563, 13126, 281, 9177, 26439, 454, 293, 686, 267, 476, 3066, 4119, 476, 1001, 275, 267, 476, 4962, 281, 2004, 454, 2304, 20349, 3323, 538, 4591, 7795, 571, 684, 5087, 540, 29325, 978, 9857, 329, 7238, 330, 1638, 693, 1472, 476, 876, 281, 6349, 269, 1530, 1143, 545, 12152, 528, 729, 4767, 593, 782, 20381, 10473, 543, 519, 1357, 8254, 8704, 538, 519, 1858, 676, 6660, 320, 814, 4951, 930, 8799, 5961, 540, 519, 20349, 269, 898, 568, 513, 1507, 535, 1170, 675, 20349, 543, 693, 476, 6349, 281, 2412, 7537, 519, 2534, 5526, 547, 723, 8519, 269, 630, 8379, 302, 264, 1224, 782, 454, 1320, 340, 267, 476, 2764, 4119, 476, 1001, 275, 267, 476, 1724, 281, 4649, 454, 5591, 1713, 2242, 723, 7018, 2221, 269, 3267, 1224, 782, 454, 1320, 340, 267, 476, 2764, 4119, 476, 1001, 275, 267, 476, 5881, 281, 1321, 454, 11854, 1529, 725, 602, 513, 1507, 20349, 1185, 7018, 610, 1869, 5170, 693, 519, 3135, 540, 519, 1007, 4672, 28471, 323, 6425, 3136, 269, 4340, 547, 606, 5967, 609, 519, 2817, 16340, 4751, 630, 305, 10013, 1070, 3744, 7447, 602, 476, 1789, 910, 476, 2412, 2929, 12945, 15432, 540, 4672, 723, 1044, 24268, 269, 3267, 1224, 782, 454, 1320, 340, 267, 476, 2764, 4119, 476, 1001, 275, 267, 476, 876, 281, 4510, 454, 2467, 616, 1007, 7835, 267, 855, 7334, 875, 547, 4612, 519, 7298, 4191, 281, 3267, 1224, 782, 454, 26607, 267, 476, 2767, 4119, 476, 1001, 275, 267, 476, 1626, 281, 6872, 454, 7021, 476, 8517, 16767, 723, 7018, 2221, 865, 2484, 267, 6140, 1631, 3564, 519, 6316, 540, 519, 29325, 978, 9857, 329, 7238, 330, 1638, 27224, 269, 634, 6433, 568, 6029, 1100, 4191, 540, 13302, 269, 634, 31593, 3294, 814, 28953, 827, 476, 272, 5998, 5087, 2072, 2094, 19108, 267, 543, 4485, 519, 1306, 329, 6390, 15027, 1950, 267, 799, 568, 513, 20468, 1646, 269, 589, 9588, 476, 275, 13091, 7018, 713, 6640, 896, 519, 9456, 1608, 1457, 320, 26079, 540, 9105, 10937, 630, 338, 269, 3239, 1040, 3267, 1224, 782, 0, 1103, 824, 1913, 267, 3448, 4908, 568, 267, 538, 9759, 267, 875, 1082, 2053, 513, 2016, 2680, 4386, 5258, 676, 519, 2698, 1297, 540, 4093, 269, 3038, 3660, 676, 281, 3243, 571, 27482, 13163, 540, 10803, 269, 4595, 649, 616, 3168, 693, 782, 540, 519, 1004, 602, 13820, 539, 519, 2848, 6545, 267, 602, 568, 476, 1911, 260, 540, 519, 512, 7539, 269, 2334, 1223, 581, 1271, 267, 543, 596, 1131, 1867, 519, 3448, 4908, 540, 519, 1871, 476, 274, 607, 476, 271, 269, 634, 811, 3665, 2418, 593, 2901, 2427, 540, 519, 4099, 1831, 811, 4686, 607, 3845, 689, 519, 4099, 4679, 269, 9046, 4855, 519, 19469, 3448, 4908, 3892, 540, 519, 20349, 546, 15342, 538, 21705, 563, 5278, 540, 519, 11708, 602, 666, 581, 1031, 609, 4908, 14778, 616, 2073, 2073, 543, 269, 5903, 532, 519, 2418, 540, 12451, 585, 782, 2009, 4093, 540, 606, 4603, 3947, 721, 513, 3448, 4908, 3892, 269, 8827, 1284, 1101, 1265, 519, 4908, 3892, 540, 519, 20349, 546, 15342, 607, 5205, 269, 9861, 513, 812, 540, 7096, 10385, 786, 2327, 2164, 540, 938, 17050, 269, 634, 4098, 1184, 568, 519, 1482, 267, 543, 519, 1482, 4808, 1590, 581, 1031, 950, 2870, 5049, 585, 519, 1239, 563, 763, 3448, 4908, 610, 12170, 5506, 540, 606, 2680, 4016, 547, 519, 6207, 4908, 28348, 676, 519, 2698, 1297, 540, 2621, 269, 22039, 17392, 910, 7151, 1284, 1185, 476, 8146, 1053, 6445, 856, 513, 18102, 269, 8073, 519, 4908, 3892, 3349, 267, 607, 596, 1131, 7363, 269, 3962, 7127, 538, 519, 3349, 3568, 519, 4908, 610, 1293, 540, 519, 20825, 540, 2418, 1369, 513, 1880, 1895, 610, 8884, 267, 543, 538, 713, 1259, 267, 519, 3349, 26564, 519, 540, 2418, 538, 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 ]
[ 602, 8380, 1022, 4496, 610, 17285, 6219, 3330, 707, 17196, 568, 711, 1152, 22247, 585, 519, 17196, 267, 855, 621, 779, 849, 22247, 585, 596, 538, 3665, 2665, 1141, 513, 3595, 6238, 3330, 707, 17196, 543, 3123, 3595, 269, 4475, 267, 621, 779, 1655, 547, 2057, 8380, 1022, 4496, 3615, 538, 519, 17196, 8164, 2009, 563, 21761, 18542, 5999, 454, 3674, 621, 2922, 547, 2322, 513, 22635, 538, 519, 17196, 888, 8133, 267, 621, 568, 3622, 2922, 547, 2322, 513, 22635, 538, 519, 17196, 269, 1717, 267, 621, 568, 1271, 547, 2327, 602, 519, 22635, 568, 1500, 540, 513, 17196, 1606, 12522, 1570, 267, 971, 607, 17375, 267, 4837, 267, 610, 1978, 2010, 540, 5068, 269, 3958, 267, 621, 568, 1271, 547, 2057, 6028, 519, 22635, 538, 519, 17196, 585, 606, 6905, 1974, 540, 942, 267, 607, 713, 666, 2014, 621, 547, 1831, 1360, 3905, 543, 5732, 6633, 596, 563, 4692, 596, 2322, 513, 4496, 22635, 610, 23643, 538, 519, 17196, 888, 2005, 568, 3622, 711, 5227, 547, 2322, 4496, 838, 9398, 610, 585, 802, 538, 519, 17196, 267, 607, 713, 666, 2014, 26354, 610, 818, 1424, 267, 799, 666, 581, 5906, 269, 1717, 267, 930, 23198, 4496, 27022, 267, 971, 607, 16243, 5374, 838, 9398, 267, 949, 581, 2922, 547, 946, 538, 519, 17196, 607, 1279, 607, 789, 798, 711, 723, 1022, 8325, 8728, 563, 3963, 1810, 1406, 838, 9398, 8141, 538, 519, 17196, 888, 8967, 9398, 798, 711, 3335, 8141, 538, 519, 17196, 1317, 789, 616, 711, 8325, 610, 11329, 267, 799, 6971, 519, 10171, 540, 818, 1424, 269, 3958, 267, 838, 9398, 616, 2356, 1500, 540, 2326, 602, 616, 711, 3810, 25801, 267, 971, 607, 5068, 267, 3574, 267, 610, 1978, 2010, 540, 4496, 267, 799, 2417, 6971, 519, 10171, 540, 26354, 563, 4692, 596, 2322, 11956, 23240, 538, 519, 17196, 888, 2005, 568, 3622, 711, 5227, 547, 2322, 11956, 23240, 538, 519, 17196, 267, 607, 713, 666, 2014, 26354, 610, 818, 1424, 267, 799, 666, 581, 5906, 269, 3958, 267, 11956, 23240, 666, 3625, 519, 14580, 2314, 689, 8022, 707, 1426, 5265, 267, 799, 666, 1267, 538, 19514, 5986, 610, 4411, 9634, 563, 1432, 547, 798, 952, 594, 18417, 2322, 22635, 538, 17196, 888, 2252, 596, 18417, 2322, 513, 22635, 538, 519, 17196, 267, 621, 568, 1271, 547, 2490, 1055, 519, 17196, 5612, 543, 4894, 519, 22635, 269, 6744, 519, 23643, 585, 1022, 4191, 540, 3441, 610, 13621, 267, 543, 1167, 731, 621, 952, 621, 5526, 547, 581, 8697, 269, 3958, 267, 2638, 707, 17196, 585, 1022, 4191, 540, 3441, 267, 971, 607, 1085, 25403, 7436, 610, 8781, 24462, 267, 543, 798, 711, 946, 621, 1586, 2394, 621, 814, 1044, 1202, 4624, 676, 513, 3318, 269, 0, 763, 3557, 540, 593, 19223, 476, 1001, 274, 1867, 267, 676, 519, 4139, 10644, 3194, 4659, 630, 7709, 6020, 1070, 5267, 602, 519, 2208, 543, 30333, 540, 519, 1158, 779, 2551, 543, 519, 31934, 2333, 538, 519, 5817, 11841, 3928, 538, 1970, 268, 543, 1647, 13867, 2477, 786, 3565, 547, 4679, 538, 519, 2518, 2860, 11411, 563, 763, 1867, 267, 799, 2488, 513, 2518, 4605, 540, 2860, 267, 5267, 602, 519, 3389, 5006, 11411, 786, 581, 4810, 676, 1970, 543, 1647, 4747, 2477, 267, 1141, 519, 8167, 540, 519, 2551, 9907, 936, 476, 4792, 568, 4397, 547, 2333, 676, 1063, 476, 276, 260, 543, 476, 1015, 260, 676, 476, 10711, 271, 267, 609, 606, 2404, 2333, 538, 2860, 11841, 3928, 563, 763, 1297, 540, 2860, 5868, 538, 4000, 568, 10567, 547, 5595, 936, 519, 1985, 19939, 1296, 267, 3056, 547, 2055, 540, 875, 1082, 2539, 9113, 1830, 2477, 267, 799, 798, 711, 723, 519, 2200, 547, 11883, 609, 1699, 2860, 3928, 267, 786, 11883, 609, 713, 4473, 563, 763, 1867, 849, 5031, 519, 2647, 7648, 538, 519, 8244, 543, 2298, 540, 11215, 543, 23080, 14306, 1416, 1472, 519, 1158, 543, 1369, 2477, 543, 875, 585, 1082, 2477, 519, 8244, 540, 17414, 6950, 568, 3908, 610, 15534, 269, 898, 849, 8711, 7648, 538, 8244, 540, 6703, 543, 32346, 5505, 267, 607, 1134, 607, 11841, 543, 9019, 3928, 563, 763, 1867, 20147, 609, 513, 1297, 540, 7840, 267, 1519, 519, 8471, 11865, 540, 23080, 14306, 267, 11215, 543, 12363, 1416, 693, 1169, 851, 540, 519, 2860, 13374, 281, 693, 519, 942, 540, 6391, 267, 2234, 23956, 543, 1282, 18068, 269, 9751, 543, 1569, 547, 10641, 710, 568, 1883, 585, 713, 563, 288, 5299, 540, 519, 1867, 666, 581, 16761, 689, 519, 7379, 6020, 267, 543, 972, 568, 513, 2110, 4670, 540, 7905, 8834, 15196, 548, 267, 835, 540, 519, 15769, 540, 519, 1867, 267, 7234, 741, 4681, 543, 7840, 593, 13334, 269, 0, 1432, 1281, 21350, 760, 24891, 798, 15017, 288, 27215, 7709, 24891, 568, 513, 3926, 602, 17838, 5639, 6808, 1063, 519, 5398, 4210, 17097, 17791, 7483, 8416, 630, 303, 4306, 301, 264, 543, 513, 20429, 936, 5769, 16257, 630, 309, 334, 7709, 264, 3060, 269, 898, 9247, 6411, 607, 513, 8115, 1063, 519, 1079, 5121, 267, 3850, 7125, 547, 581, 1500, 1063, 2757, 2244, 6050, 543, 27215, 7709, 11436, 563, 2467, 616, 1079, 1292, 2010, 540, 27215, 7709, 10766, 1811, 281, 12746, 543, 3059, 269, 1323, 11530, 10766, 1811, 6460, 12746, 5639, 6786, 689, 519, 623, 4306, 301, 883, 3059, 6786, 602, 666, 581, 10299, 936, 513, 27215, 7709, 3060, 269, 7913, 10766, 1811, 267, 593, 519, 824, 1688, 267, 6460, 3059, 5639, 6786, 689, 513, 27215, 7709, 3060, 883, 12746, 6786, 602, 666, 581, 10299, 936, 519, 623, 4306, 301, 563, 309, 334, 7709, 10766, 1811, 666, 581, 1031, 585, 513, 3099, 540, 5301, 267, 1519, 912, 268, 4045, 532, 513, 27215, 7709, 6049, 1062, 547, 519, 623, 4306, 301, 865, 602, 7125, 666, 581, 1500, 547, 2244, 6050, 454, 268, 4045, 532, 513, 2757, 2244, 1467, 6049, 547, 513, 27215, 7709, 3060, 865, 602, 7125, 666, 581, 1500, 547, 824, 27215, 7709, 11436, 454, 268, 21278, 21336, 3599, 585, 513, 27215, 7709, 6049, 1062, 676, 8220, 621, 547, 1079, 1114, 623, 4306, 28213, 454, 268, 4045, 532, 513, 27215, 7709, 3060, 547, 513, 12616, 3060, 865, 602, 7125, 666, 581, 1500, 936, 10408, 610, 15261, 19712, 454, 15371, 610, 711, 596, 991, 513, 27215, 7709, 24891, 5673, 593, 707, 1808, 2115, 269, 1403, 596, 1152, 723, 27215, 7709, 11436, 543, 596, 1810, 1405, 991, 547, 1118, 7125, 547, 2244, 6050, 267, 1287, 596, 1810, 1405, 991, 513, 27215, 7709, 24891, 269, 1717, 267, 952, 596, 798, 991, 547, 1118, 7125, 547, 2244, 6050, 267, 1287, 513, 27215, 7709, 24891, 568, 1898, 563, 2080, 616, 930, 540, 519, 2640, 540, 1210, 513, 27215, 7709, 24891, 912, 268, 16842, 8112, 281, 27215, 7709, 10766, 1811, 1450, 596, 547, 1118, 7125, 1063, 2757, 2244, 6050, 543, 27215, 7709, 11436, 267, 799, 3947, 596, 811, 8112, 538, 875, 596, 5968, 563, 268, 25841, 3790, 281, 27215, 7709, 10766, 1811, 666, 948, 596, 4688, 2724, 593, 1279, 26591, 7125, 267, 607, 1134, 607, 593, 519, 1942, 540, 4259, 909, 543, 4509, 513, 2757, 6049, 1062, 563, 268, 20865, 3354, 281, 27215, 7709, 10766, 1811, 666, 1683, 3606, 3354, 585, 707, 6049, 7125, 267, 607, 789, 666, 17278, 519, 1239, 602, 568, 1373, 10299, 563, 2252, 596, 616, 6236, 1210, 27215, 7709, 585, 707, 1870, 610, 1753, 267, 1287, 513, 27215, 7709, 24891, 568, 513, 3407, 1907, 602, 666, 948, 596, 1205, 519, 1034, 856, 540, 707, 27215, 7709, 3028, 269, 0, 20458, 9243, 3560, 269, 634, 15626, 267, 855, 2352, 3804, 563, 763, 3864, 5742, 814, 8149, 547, 1831, 2916, 9243, 676, 476, 13078, 271, 269, 2060, 713, 15626, 855, 2352, 3804, 267, 519, 3560, 5823, 1590, 12777, 581, 9927, 269, 769, 713, 4674, 267, 811, 543, 811, 3549, 267, 1312, 3964, 543, 1376, 13522, 267, 723, 18656, 3022, 538, 513, 5198, 267, 3168, 585, 3435, 602, 786, 1291, 547, 2916, 9243, 3560, 563, 18693, 558, 817, 10173, 267, 971, 607, 7686, 19342, 543, 6915, 996, 12935, 267, 799, 2099, 519, 1101, 5108, 540, 6915, 325, 3241, 2029, 267, 616, 2907, 606, 4244, 1648, 2707, 609, 2318, 2825, 2360, 269, 1717, 267, 519, 4674, 1281, 711, 3247, 972, 563, 3682, 339, 9189, 6472, 3384, 1985, 22831, 5230, 1673, 14280, 5010, 14903, 4066, 616, 2907, 513, 4641, 269, 1280, 1383, 267, 1134, 1634, 1286, 10672, 814, 2907, 4843, 267, 519, 1101, 6007, 3887, 10431, 6174, 609, 513, 14407, 2597, 540, 476, 2918, 9748, 2479, 3812, 563, 1103, 1899, 609, 519, 3864, 5742, 779, 11428, 547, 6940, 267, 519, 5259, 12080, 540, 13255, 814, 1500, 513, 6101, 7662, 547, 5372, 519, 5259, 14903, 18239, 609, 6472, 9280, 609, 9167, 4629, 10001, 2029, 630, 1410, 6984, 6472, 11843, 1813, 547, 18472, 1040, 3204, 21884, 2406, 267, 519, 5354, 540, 519, 5259, 3560, 2344, 779, 18239, 568, 16922, 540, 10172, 6472, 267, 19040, 607, 9167, 4629, 8633, 543, 2630, 269, 901, 5888, 5267, 602, 8236, 2916, 16250, 23018, 3560, 538, 10255, 786, 581, 513, 4101, 543, 1486, 26167, 3460, 269, 11048, 267, 711, 7543, 256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17650, 525, 1058, 1831, 8087, 267, 602, 789, 1058, 27043, 1927, 543, 519, 1004, 1831, 835, 267, 899, 519, 623, 820, 13757, 269, 2608, 2608, 2608, 5345, 559, 1869, 28955, 3294, 282, 519, 5757, 540, 1973, 729, 711, 2943, 11074, 269, 634, 26110, 19500, 12703, 569, 267, 543, 865, 1705, 594, 267, 855, 519, 2095, 540, 1973, 1705, 711, 24044, 269, 1879, 596, 3357, 267, 519, 5757, 540, 1973, 729, 1869, 1930, 267, 543, 594, 4061, 8179, 585, 930, 2219, 547, 2014, 621, 547, 24044, 267, 607, 519, 26110, 1185, 1279, 829, 572, 30099, 269, 594, 2808, 875, 713, 1973, 1223, 581, 1500, 547, 27298, 538, 713, 6816, 269, 594, 6743, 883, 707, 2835, 454, 314, 15862, 540, 2985, 476, 1789, 2639, 3602, 5840, 524, 3072, 547, 723, 513, 3751, 585, 2933, 267, 547, 581, 513, 9794, 936, 873, 267, 543, 594, 6743, 693, 519, 1913, 540, 15584, 538, 1546, 17458, 16860, 1535, 341, 4512, 269, 476, 1428, 267, 543, 538, 476, 272, 15656, 642, 13839, 269, 476, 275, 267, 543, 594, 6854, 891, 1913, 538, 1250, 3965, 998, 782, 519, 1296, 282, 4534, 1492, 2244, 21535, 338, 11173, 782, 519, 942, 267, 543, 1973, 1869, 1373, 838, 2830, 267, 594, 1869, 1199, 23550, 2390, 519, 6927, 267, 950, 649, 8452, 693, 519, 1032, 476, 6977, 278, 269, 1855, 1261, 340, 13463, 340, 1572, 513, 5870, 693, 570, 879, 17763, 269, 3828, 823, 476, 8517, 941, 19632, 972, 267, 950, 519, 3377, 540, 602, 5870, 6603, 803, 269, 594, 1767, 267, 594, 786, 9844, 547, 713, 267, 547, 4217, 1250, 960, 267, 602, 519, 4984, 540, 1346, 17650, 525, 602, 1185, 711, 2943, 8087, 1522, 723, 942, 547, 13236, 269, 594, 862, 10642, 693, 1346, 1913, 538, 519, 3883, 540, 15656, 642, 13839, 269, 476, 276, 281, 1412, 24876, 721, 513, 3751, 547, 9794, 721, 9538, 901, 729, 1946, 594, 1305, 909, 8000, 520, 879, 538, 519, 1032, 476, 6977, 278, 269, 2201, 1010, 1373, 1305, 909, 267, 519, 1973, 693, 2899, 30403, 267, 543, 814, 865, 7283, 909, 547, 519, 1459, 1032, 269, 634, 2601, 1946, 594, 1305, 909, 8000, 520, 879, 607, 513, 3751, 585, 803, 729, 267, 646, 729, 513, 812, 540, 6905, 3310, 267, 543, 835, 945, 729, 15197, 676, 519, 17650, 525, 540, 713, 6816, 269, 2334, 267, 744, 3659, 594, 729, 1946, 594, 1305, 1864, 909, 282, 547, 2322, 1524, 1250, 13542, 267, 547, 3180, 519, 2244, 540, 519, 10553, 267, 543, 547, 9794, 519, 1055, 1878, 540, 519, 8783, 338, 269, 634, 3751, 729, 1305, 909, 282, 519, 14840, 836, 553, 454, 314, 15862, 540, 2985, 476, 4029, 2639, 7246, 3036, 296, 918, 5058, 631, 10976, 30121, 563, 26200, 1305, 909, 282, 519, 918, 2967, 19351, 752, 1177, 553, 941, 1305, 909, 267, 543, 4984, 729, 1305, 909, 269, 634, 1568, 540, 1250, 11937, 723, 30403, 267, 789, 616, 32033, 693, 519, 1459, 942, 282, 1018, 594, 2161, 568, 267, 602, 519, 1973, 540, 519, 8575, 1559, 814, 30403, 547, 2095, 269, 594, 1810, 1405, 782, 8775, 547, 713, 1973, 630, 331, 2299, 8774, 1040, 898, 729, 707, 554, 7360, 960, 3361, 602, 1973, 269, 594, 798, 711, 7287, 547, 5641, 519, 10348, 689, 713, 6816, 267, 855, 689, 1250, 4062, 540, 2244, 269, 594, 993, 547, 581, 519, 1268, 547, 26777, 1250, 4062, 4799, 288, 2147, 2272, 540, 519, 5169, 540, 519, 3350, 729, 2016, 676, 11412, 1092, 267, 1776, 540, 922, 9998, 543, 1034, 9565, 18793, 269, 2991, 8429, 28069, 538, 24811, 538, 519, 3345, 267, 1141, 646, 4607, 630, 514, 476, 7277, 273, 268, 274, 264, 930, 3450, 693, 519, 20613, 1493, 1153, 267, 11412, 1092, 8120, 547, 1010, 1378, 1004, 538, 519, 8316, 7719, 7345, 8664, 267, 1141, 1312, 609, 519, 13896, 543, 519, 715, 2510, 646, 814, 3964, 513, 1164, 1915, 585, 1010, 2702, 543, 8699, 269, 1280, 1896, 1296, 646, 814, 1044, 7722, 538, 5009, 519, 2679, 540, 7111, 13039, 267, 3506, 267, 543, 7912, 2173, 1571, 282, 585, 930, 942, 646, 6964, 693, 1010, 1378, 1942, 606, 2296, 4116, 547, 4051, 519, 7111, 1453, 269, 834, 2005, 729, 1250, 4636, 338, 796, 1042, 5962, 676, 596, 2437, 646, 1767, 267, 834, 7474, 13251, 803, 547, 1305, 827, 547, 960, 856, 606, 2856, 540, 1250, 1378, 282, 602, 568, 267, 20613, 1731, 6737, 267, 519, 14316, 945, 1305, 621, 454, 314, 15862, 540, 2985, 476, 3953, 2639, 4707, 269, 1358, 941, 538, 8969, 2436, 547, 2165, 12751, 610, 17135, 267, 543, 9444, 14018, 267, 543, 789, 3964, 1864, 607, 1412, 1492, 8575, 9461, 3751, 282, 262, 621, 729, 6836, 4603, 958, 267, 543, 9863, 607, 513, 1797, 540, 2699, 816, 585, 4636, 338, 711, 12306, 676, 596, 267, 676, 519, 6554, 269, 634, 1152, 4636, 338, 596, 2699, 5962, 941, 1346, 1996, 707, 2383, 282, 855, 607, 585, 1346, 782, 936, 519, 4560, 540, 519, 2197, 267, 596, 2451, 873, 29462, 269, 11184, 267, 519, 14763, 646, 630, 1492, 8575, 9461, 3751, 264, 1185, 547, 4339, 609, 941, 519, 10963, 540, 519, 8575, 9461, 282, 1010, 15294, 619, 267, 1010, 17403, 338, 267, 1010, 13277, 23065, 267, 1010, 1743, 684, 5287, 1145, 267, 1010, 9513, 2244, 676, 2848, 953, 269, 1452, 941, 1018, 646, 1185, 547, 4308, 609, 269, 2608, 2608, 2608, 9894, 594, 1305, 909, 1022, 3751, 538, 5728, 286, 1306, 594, 2070, 621, 267, 20613, 1731, 6737, 24714, 602, 1010, 6392, 1058, 32338, 622, 689, 519, 17135, 269, 1656, 1287, 621, 729, 602, 649, 6836, 547, 798, 519, 1655, 649, 1223, 585, 6000, 269, 1879, 621, 729, 2938, 602, 9409, 729, 14356, 2322, 1524, 676, 519, 14840, 18553, 267, 543, 519, 29749, 26583, 1841, 2968, 2367, 2899, 811, 267, 1287, 519, 960, 630, 1492, 3751, 3350, 264, 2968, 2489, 563, 257, 3719, 568, 713, 630, 21914, 3350, 264, 8197, 547, 2014, 513, 6498, 1063, 721, 286, 3143, 267, 621, 786, 581, 3361, 676, 5728, 16306, 540, 2244, 267, 519, 3364, 799, 814, 1044, 2469, 593, 585, 1296, 1701, 1656, 11412, 1092, 729, 454, 314, 15862, 540, 2985, 476, 3451, 2639, 7246, 3036, 296, 918, 5058, 631, 10976, 30121, 563, 3249, 995, 547, 1118, 621, 2312, 602, 519, 3260, 619, 540, 519, 3350, 1185, 1100, 9837, 547, 1016, 3200, 519, 10348, 781, 6392, 269, 834, 2791, 2161, 267, 1412, 763, 8575, 1559, 616, 711, 2111, 547, 4339, 1996, 519, 10348, 540, 4789, 267, 543, 6146, 630, 2181, 341, 841, 1996, 264, 1200, 9538, 901, 568, 1250, 2626, 269, 11184, 267, 596, 917, 9985, 1134, 602, 519, 8575, 9461, 786, 581, 29041, 282, 1498, 621, 581, 1767, 602, 713, 2112, 568, 585, 16285, 267, 519, 13337, 540, 519, 17135, 666, 2760, 581, 10703, 4705, 676, 602, 269, 5808, 568, 519, 8575, 9461, 602, 568, 971, 513, 18174, 607, 547, 581, 19451, 827, 519, 16285, 610, 29686, 540, 519, 10348, 540, 4789, 286, 2107, 945, 786, 12235, 5128, 2476, 538, 8165, 585, 971, 513, 2014, 286, 3143, 267, 621, 568, 585, 2244, 282, 585, 2244, 814, 1044, 519, 6305, 2014, 540, 2112, 10838, 519, 8575, 1559, 689, 942, 1799, 655, 3645, 1524, 547, 519, 12625, 540, 623, 820, 13757, 538, 713, 6532, 540, 23600, 269, 634, 8575, 9461, 786, 711, 581, 546, 13550, 539, 676, 1010, 8467, 267, 676, 1010, 17071, 640, 267, 610, 519, 1507, 1145, 540, 1010, 570, 11171, 282, 646, 12034, 1010, 2244, 2469, 267, 543, 786, 646, 1694, 1869, 286, 3143, 282, 855, 646, 786, 1491, 5128, 1055, 630, 1729, 5706, 1040, 634, 10348, 781, 16285, 814, 1044, 17019, 1279, 3516, 281, 1185, 621, 1044, 547, 4339, 585, 29686, 267, 4440, 1169, 812, 538, 713, 6532, 1131, 723, 1044, 909, 538, 7916, 282, 855, 538, 519, 1459, 2013, 519, 8165, 568, 16876, 547, 519, 2244, 799, 568, 1373, 3144, 454, 314, 15862, 540, 2985, 476, 4097, 2639, 335, 1601, 11970, 540, 269, 1703, 568, 513, 4484, 540, 5261, 3751, 781, 14084, 1934, 267, 538, 799, 646, 3081, 602, 952, 1010, 2244, 568, 17355, 18050, 267, 646, 786, 2322, 513, 3247, 547, 519, 8165, 269, 2608, 2608, 2608, 2608, 898, 729, 6069, 547, 4734, 621, 547, 519, 10348, 267, 547, 9794, 1063, 519, 17135, 543, 5261, 3751, 281, 596, 14754, 519, 2489, 1028, 550, 540, 782, 547, 602, 11556, 602, 519, 10348, 1058, 581, 519, 9794, 269, 4270, 267, 1281, 713, 1413, 538, 707, 6644, 899, 513, 15141, 1190, 2262, 538, 2543, 547, 519, 10348, 267, 602, 596, 723, 2451, 621, 856, 540, 8289, 267, 543, 3144, 909, 602, 2262, 540, 707, 1378, 8798, 827, 519, 8575, 9461, 1818, 2112, 1996, 519, 10348, 286, 11184, 267, 519, 8575, 9461, 1281, 711, 2015, 602, 646, 568, 8165, 1996, 519, 10348, 282, 594, 1917, 4061, 602, 596, 786, 24044, 547, 829, 3200, 1913, 267, 543, 2864, 9844, 547, 938, 11556, 602, 649, 1058, 782, 6443, 538, 1603, 513, 4484, 547, 519, 17135, 630, 1729, 15974, 264, 602, 519, 2112, 949, 581, 11074, 267, 543, 602, 621, 949, 581, 2451, 585, 519, 10348, 547, 6430, 538, 713, 29170, 7758, 282, 543, 1287, 1577, 721, 2328, 513, 4484, 547, 519, 10348, 630, 1729, 7281, 264, 602, 1352, 786, 6494, 513, 30934, 630, 298, 2967, 3369, 752, 11867, 264, 547, 1796, 1063, 721, 267, 543, 1577, 721, 782, 6443, 1927, 538, 22679, 3931, 883, 713, 15539, 269, 9919, 848, 630, 541, 4226, 1674, 264, 676, 15963, 267, 543, 1631, 1577, 621, 581, 2451, 547, 14374, 267, 602, 513, 20276, 656, 540, 2367, 581, 2451, 4799, 314, 15862, 540, 2985, 476, 3374, 2639, 7246, 3036, 296, 918, 5058, 631, 10976, 30121, 563, 5475, 513, 6297, 14374, 883, 519, 1641, 267, 513, 9730, 540, 519, 5600, 540, 24929, 267, 16030, 1896, 540, 922, 3056, 2818, 267, 4080, 741, 6644, 630, 5908, 271, 264, 602, 513, 1390, 3350, 1185, 1044, 2469, 593, 10838, 519, 7111, 1004, 267, 2348, 585, 922, 1292, 1843, 519, 10661, 540, 930, 12306, 6392, 10838, 2933, 282, 602, 971, 3350, 991, 711, 723, 1044, 519, 1641, 540, 15372, 282, 602, 922, 3615, 941, 711, 8209, 22522, 609, 519, 6284, 540, 519, 10348, 781, 18678, 6392, 267, 610, 609, 519, 3356, 540, 17091, 282, 543, 602, 621, 1131, 723, 1044, 689, 519, 1101, 267, 543, 1131, 1287, 581, 267, 796, 3772, 547, 17591, 621, 676, 2318, 4187, 734, 534, 6644, 799, 814, 1044, 9672, 676, 519, 6205, 540, 519, 1459, 12080, 269, 834, 763, 1390, 3084, 3350, 2437, 1767, 6004, 269, 16737, 267, 834, 6518, 814, 1044, 694, 1891, 538, 519, 7111, 2247, 585, 1296, 2250, 267, 568, 711, 267, 607, 519, 16099, 540, 1715, 31069, 814, 1044, 6026, 547, 1589, 621, 267, 1759, 593, 513, 7287, 547, 1205, 7759, 540, 3703, 4341, 543, 3703, 10340, 282, 855, 649, 5431, 538, 621, 519, 7287, 540, 519, 7111, 5198, 585, 1582, 3887, 4582, 566, 281, 649, 1294, 538, 621, 606, 7118, 652, 1279, 532, 585, 1876, 543, 1931, 267, 543, 606, 3801, 630, 2254, 13927, 1076, 610, 2192, 30928, 1185, 621, 1152, 1044, 9415, 543, 11461, 267, 264, 547, 4473, 547, 454, 314, 15862, 540, 2985, 476, 3607, 2639, 320, 1514, 7862, 609, 6000, 282, 543, 972, 568, 1100, 8969, 602, 952, 4140, 5534, 569, 18808, 609, 267, 713, 7415, 3350, 1522, 723, 1044, 5828, 547, 3407, 2272, 267, 543, 602, 1906, 540, 519, 12751, 338, 945, 2479, 18005, 17019, 519, 16285, 540, 519, 22477, 1131, 2479, 723, 5551, 547, 3715, 513, 3084, 7115, 4799, 5475, 519, 16075, 1500, 676, 519, 20616, 10579, 267, 476, 277, 834, 7474, 1510, 519, 1852, 540, 3677, 7482, 585, 7111, 5301, 982, 723, 1044, 5116, 693, 519, 12871, 540, 519, 17135, 267, 621, 814, 1044, 7543, 547, 9772, 971, 3800, 607, 1131, 581, 1198, 783, 585, 519, 6554, 543, 10340, 540, 519, 8575, 1559, 2437, 543, 1310, 519, 16075, 540, 519, 20616, 7201, 4149, 324, 4038, 776, 267, 476, 278, 602, 834, 1492, 17135, 540, 1715, 10215, 568, 8078, 539, 547, 957, 896, 513, 9139, 799, 5526, 547, 723, 1044, 29600, 538, 7340, 6888, 540, 519, 1804, 7111, 17650, 525, 1369, 519, 2531, 514, 687, 547, 799, 621, 729, 5497, 547, 4019, 2437, 621, 568, 15991, 9670, 602, 606, 3801, 1058, 581, 1500, 676, 519, 1715, 10215, 619, 547, 1265, 856, 930, 7154, 540, 2229, 585, 2933, 538, 741, 1894, 609, 1142, 824, 269, 2859, 982, 8938, 1296, 3516, 267, 519, 3703, 6554, 267, 538, 14322, 454, 314, 15862, 540, 2985, 476, 4391 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2875, 3947, 2272, 593, 1018, 789, 1224, 267, 5941, 267, 5206, 267, 610, 21503, 1451, 547, 4487, 621, 1934, 269, 1548, 2306, 513, 3811, 14436, 1557, 1390, 4808, 593, 875, 547, 2328, 513, 14436, 1557, 585, 707, 2852, 563, 25456, 14436, 1557, 910, 1383, 1948, 273, 649, 2303, 602, 596, 2328, 707, 1378, 1557, 1354, 2542, 2901, 540, 891, 3631, 2389, 1156, 267, 2348, 6192, 707, 1101, 8908, 269, 8682, 14436, 1557, 568, 513, 2123, 6644, 607, 519, 2278, 27711, 741, 1378, 4606, 936, 513, 1978, 1641, 2339, 621, 949, 581, 538, 1106, 540, 513, 1433, 7260, 610, 11247, 713, 269, 6787, 1603, 827, 513, 1895, 1788, 610, 513, 1713, 2123, 2680, 267, 513, 14436, 1557, 13071, 596, 1459, 606, 7650, 540, 513, 2123, 1995, 543, 922, 1764, 593, 596, 269, 6201, 689, 8086, 3594, 30095, 4656, 968, 1492, 1382, 1775, 1705, 713, 4832, 5059, 593, 22408, 1632, 540, 524, 10901, 543, 1193, 2632, 1756, 676, 11934, 269, 5675, 513, 1582, 14436, 1557, 910, 946, 689, 938, 20522, 2688, 12031, 1603, 2533, 543, 1205, 519, 1034, 689, 1390, 2298, 3079, 540, 27830, 942, 538, 563, 16240, 513, 14436, 1557, 568, 2653, 513, 14436, 1557, 568, 606, 2653, 7084, 952, 596, 666, 3314, 1919, 596, 723, 4810, 610, 2854, 827, 538, 519, 2250, 596, 269, 13505, 632, 536, 22967, 1147, 782, 28375, 476, 5002, 271, 7819, 3332, 585, 10763, 1557, 12103, 553, 2967, 1557, 267, 533, 2678, 562, 7666, 344, 523, 11046, 1557, 1141, 568, 519, 5098, 538, 606, 1557, 1990, 777, 269, 589, 14436, 1557, 568, 827, 10452, 593, 707, 2123, 1702, 267, 4555, 610, 1995, 1205, 513, 14167, 948, 609, 14436, 1557, 1603, 693, 12063, 22967, 1260, 879, 269, 14484, 633, 3594, 616, 1346, 602, 1118, 596, 1589, 543, 2992, 3594, 602, 2270, 707, 2123, 2833, 543, 8369, 267, 10502, 267, 616, 2965, 14436, 3594, 649, 563, 2171, 786, 2328, 707, 14436, 1557, 593, 1022, 1888, 596, 14574, 649, 1683, 1164, 2298, 543, 3312, 4574, 1152, 1018, 568, 513, 14436, 1557, 621, 568, 1018, 596, 786, 1205, 538, 269, 14506, 3594, 616, 2356, 16761, 676, 20485, 610, 3610, 267, 607, 789, 1450, 596, 547, 2671, 707, 1995, 827, 513, 1978, 2376, 267, 3992, 267, 610, 11000, 269, 589, 14436, 1557, 568, 513, 1360, 2123, 1603, 606, 2278, 666, 1711, 971, 513, 1957, 1310, 7421, 606, 2460, 689, 519, 3544, 1158, 267, 1310, 16565, 1007, 1344, 269, 589, 14436, 1557, 568, 513, 4480, 540, 1603, 799, 12211, 547, 519, 1888, 610, 2856, 540, 519, 5856, 781, 1367, 1995, 1451, 811, 689, 519, 4966, 2221, 563, 288, 2596, 3391, 593, 875, 547, 2328, 513, 1390, 14436, 1557, 269, 17127, 2797, 3662, 1557, 1557, 593, 5789, 328, 890, 327, 2993, 7841, 586, 21358, 1018, 616, 519, 2694, 540, 606, 16878, 1557, 1876, 1153, 1557, 1603, 18376, 1984, 14629, 3594, 827, 269, 1215, 547, 2328, 513, 14436, 1557, 14436, 1557, 4214, 513, 14436, 1557, 568, 513, 1826, 540, 1957, 538, 799, 596, 616, 2838, 547, 2263, 519, 1570, 602, 596, 1224, 610, 269, 7151, 14436, 1557, 543, 6402, 585, 1888, 2093, 267, 609, 1900, 676, 1900, 1603, 5528, 563, 16240, 1557, 513, 14436, 7824, 1775, 917, 1557, 1650, 4882, 2378, 3757, 17374, 8631, 568, 1659, 995, 543, 29749, 855, 1869, 711, 607, 3983, 607, 519, 533, 716, 609, 5601, 1650, 1948, 19592, 4181, 1993, 1177, 995, 269, 1215, 547, 2328, 513, 8086, 1957, 875, 798, 1775, 2328, 513, 14436, 1557, 1510, 1210, 519, 2123, 2376, 1775, 530, 23943, 23784, 596, 666, 946, 835, 3079, 269, 6258, 875, 547, 4487, 707, 14436, 1603, 7084, 609, 891, 14436, 1557, 1806, 602, 9414, 519, 1883, 2609, 585, 513, 20740, 3446, 269, 14168, 543, 2656, 7778, 593, 875, 547, 2328, 513, 14436, 1557, 609, 5439, 4388, 543, 10274, 585, 896, 326, 2784, 543, 2022, 12392, 1053, 269, 5192, 547, 917, 513, 14436, 1557, 4214, 543, 922, 2596, 2934, 9236, 547, 824, 4081, 1957, 2010, 1353, 609, 721, 610, 4444, 513, 1957, 1631, 269, 0, 763, 8849, 1646, 4524, 602, 616, 6353, 676, 15176, 2792, 267, 16625, 543, 25516, 2623, 267, 543, 1514, 5872, 568, 1634, 607, 20150, 269, 28611, 519, 2589, 540, 20150, 610, 519, 4524, 779, 9963, 4191, 2253, 1354, 519, 1126, 814, 6603, 1614, 1296, 540, 2085, 269, 634, 4524, 5540, 519, 4393, 540, 1344, 538, 519, 2634, 1317, 621, 2242, 875, 513, 1268, 779, 8229, 2281, 543, 741, 5348, 22663, 1921, 609, 835, 1776, 543, 1287, 10891, 2933, 269, 10251, 267, 519, 1259, 538, 799, 713, 4386, 568, 711, 6956, 563, 1103, 519, 20150, 25400, 267, 20150, 568, 835, 540, 519, 1614, 4713, 602, 621, 6227, 269, 1306, 704, 3455, 779, 15540, 543, 623, 969, 5297, 25833, 13081, 1107, 3502, 19227, 10410, 1881, 630, 11520, 291, 9539, 5308, 264, 616, 519, 824, 1079, 602, 616, 3334, 540, 519, 8552, 269, 19113, 291, 9539, 5308, 568, 3335, 8995, 950, 519, 4162, 540, 1306, 704, 3455, 779, 15540, 610, 20150, 616, 711, 1459, 269, 4014, 519, 11976, 3238, 538, 20150, 616, 5393, 1950, 538, 2470, 267, 621, 3884, 1406, 2312, 607, 547, 2436, 610, 711, 20150, 25400, 15136, 616, 4686, 13592, 610, 4686, 10659, 540, 4719, 7648, 563, 1103, 4686, 20825, 267, 519, 2589, 540, 20150, 616, 9244, 1644, 547, 4719, 8069, 602, 616, 3743, 585, 4332, 12889, 269, 3958, 267, 972, 616, 3875, 27900, 602, 3295, 2825, 2152, 1519, 6689, 10074, 267, 5230, 8407, 267, 543, 13851, 269, 21452, 2614, 267, 519, 8367, 3823, 519, 6669, 3390, 568, 31127, 5579, 9476, 1043, 543, 19330, 1022, 5626, 610, 3621, 2963, 269, 769, 2487, 5359, 3370, 676, 519, 15509, 267, 789, 7447, 602, 10199, 476, 272, 856, 540, 1169, 476, 1911, 1453, 723, 519, 2589, 540, 20150, 563, 7712, 519, 476, 2735, 271, 779, 950, 20150, 2968, 513, 1455, 6161, 540, 519, 2564, 543, 5626, 2950, 267, 519, 2333, 538, 519, 1297, 540, 21904, 540, 519, 4524, 723, 2799, 28354, 269, 28900, 267, 713, 568, 1813, 538, 851, 547, 2242, 543, 10311, 1141, 1699, 10368, 2853, 616, 7255, 269, 1717, 267, 2436, 610, 711, 621, 666, 581, 2808, 11342, 538, 2475, 2486, 568, 519, 2707, 540, 3875, 9840, 269, 1548, 568, 1634, 585, 2386, 568, 602, 3237, 3335, 5469, 519, 2589, 540, 20150, 1369, 519, 1101, 1079, 1296, 540, 519, 1126, 779, 1272, 563, 763, 2589, 540, 20150, 786, 4268, 7494, 689, 835, 1367, 547, 519, 1985, 269, 1717, 267, 972, 616, 1808, 4295, 2589, 602, 1169, 1367, 945, 568, 7092, 609, 10295, 723, 538, 1455, 269, 1452, 1331, 912, 21918, 1243, 4690, 538, 3339, 2238, 610, 519, 1259, 538, 799, 789, 1404, 1107, 513, 991, 585, 606, 3964, 6296, 267, 606, 8966, 1445, 593, 1978, 3615, 610, 9162, 267, 543, 519, 840, 21232, 566, 540, 1808, 3584, 610, 1641, 2339, 454, 15239, 31646, 543, 11913, 2792, 1107, 8488, 538, 610, 513, 3668, 540, 1565, 875, 547, 2911, 267, 7411, 1620, 519, 5133, 540, 1346, 6947, 547, 873, 267, 2042, 2502, 538, 6209, 6643, 267, 543, 513, 16625, 610, 32616, 539, 946, 540, 1893, 454, 12892, 5872, 543, 3347, 1107, 5821, 547, 3715, 17052, 610, 3347, 609, 741, 9905, 282, 3668, 540, 6568, 282, 3668, 540, 1719, 1141, 4687, 10781, 267, 18399, 267, 610, 4690, 609, 1866, 568, 7255, 454, 2026, 513, 2385, 267, 596, 991, 547, 581, 735, 4979, 513, 1592, 540, 1022, 8966, 2623, 1247, 11287, 707, 1126, 593, 513, 2834, 4493, 952, 596, 616, 7255, 602, 789, 616, 6029, 519, 2589, 540, 20150, 5018, 1657, 269, 769, 865, 3257, 267, 950, 596, 1865, 891, 2152, 609, 707, 1126, 779, 12963, 1014, 267, 1920, 10629, 267, 610, 616, 5219, 676, 2901, 547, 513, 11285, 547, 3313, 952, 20150, 568, 1459, 267, 713, 786, 948, 14320, 563, 2690, 519, 5767, 7044, 543, 2866, 1344, 593, 1126, 1646, 607, 1134, 607, 2835, 543, 21195, 593, 20150, 5225, 3643, 1126, 31141, 332, 4215, 2593, 563, 8698, 519, 3312, 2376, 1934, 0, 9213, 594, 345, 752, 476, 280, 729, 1394, 538, 938, 4928, 269, 634, 1453, 5249, 538, 741, 6887, 547, 6582, 782, 519, 2582, 7857, 2338, 538, 9904, 673, 1931, 267, 11093, 519, 1101, 1297, 593, 519, 1283, 2451, 1688, 7944, 269, 1703, 729, 513, 2603, 540, 4901, 543, 9266, 3206, 607, 547, 875, 547, 960, 856, 519, 1966, 256, 2336, 9213, 649, 941, 5189, 547, 594, 345, 752, 280, 256, 1284, 1185, 1390, 1187, 2324, 609, 519, 476, 2767, 4062, 13306, 267, 3168, 585, 23385, 540, 476, 274, 256, 1284, 849, 1336, 856, 875, 547, 1265, 519, 8605, 540, 2338, 269, 1284, 1185, 513, 2603, 540, 1187, 8380, 594, 345, 752, 280, 1394, 1927, 609, 476, 273, 291, 5546, 593, 1142, 3068, 540, 519, 13306, 256, 12243, 960, 782, 519, 1259, 585, 623, 276, 270, 277, 8627, 2336, 2171, 723, 1044, 11112, 713, 1032, 3168, 693, 2338, 909, 547, 476, 1015, 267, 1822, 630, 303, 277, 264, 543, 2338, 909, 547, 476, 280, 267, 15886, 630, 303, 276, 1040, 1284, 849, 2972, 1210, 519, 7317, 547, 3533, 1265, 519, 4267, 563, 9336, 13628, 568, 938, 9046, 6061, 1554, 269, 11427, 23514, 9469, 5036, 721, 9046, 14572, 11242, 547, 2347, 543, 1287, 2671, 609, 519, 1362, 938, 4681, 269, 898, 568, 1434, 1187, 543, 649, 1205, 519, 4316, 6056, 18025, 1515, 270, 18704, 609, 938, 9905, 0, 20007, 6509, 13832, 585, 4165, 559, 1442, 4858, 6362, 7010, 454, 21080, 5174, 21531, 539, 22427, 4242, 267, 570, 847, 832, 543, 20417, 619, 454, 1607, 568, 519, 589, 7034, 22020, 3296, 540, 519, 1065, 11781, 454, 514, 14103, 3898, 540, 519, 2229, 3561, 674, 295, 23354, 5336, 290, 268, 7176, 268, 25484, 269, 634, 454, 13092, 3561, 666, 581, 1336, 693, 519, 1739, 7396, 3896, 912, 5723, 306, 19766, 2177, 7728, 23370, 31304, 303, 16739, 1299, 20525, 2207, 9569, 454, 1607, 3296, 6257, 519, 1374, 543, 5106, 540, 589, 7034, 3334, 563, 2691, 596, 2347, 713, 3296, 267, 596, 1058, 1174, 519, 3483, 454, 663, 1599, 540, 782, 2101, 589, 7034, 1884, 559, 1442, 29584, 1062, 3334, 2676, 763, 18329, 6513, 5149, 454, 763, 10566, 308, 3157, 782, 589, 7034, 1344, 543, 5365, 3252, 269, 898, 454, 516, 576, 1161, 543, 3705, 1206, 6453, 20512, 6383, 676, 519, 9300, 454, 335, 1157, 1575, 607, 519, 2300, 3438, 4522, 1780, 676, 267, 543, 3096, 713, 1344, 454, 268, 6764, 2056, 8868, 9376, 5346, 543, 454, 268, 1879, 270, 6011, 547, 19334, 519, 589, 7034, 1110, 15975, 17901, 563, 763, 10566, 308, 13462, 547, 519, 1739, 589, 7034, 3334, 281, 8868, 3432, 454, 338, 839, 832, 267, 589, 7034, 1110, 15975, 17901, 267, 1379, 2707, 267, 2666, 267, 9963, 22311, 2676, 4565, 1074, 3009, 6467, 267, 808, 15647, 278, 265, 10368, 27296, 267, 543, 29472, 518, 1852, 454, 22563, 823, 630, 17141, 676, 20794, 610, 519, 808, 4572, 273, 1262, 270, 808, 4350, 280, 30995, 3611, 531, 1074, 4700, 634, 454, 4488, 308, 849, 2306, 1582, 26817, 1725, 8251, 11974, 1282, 3339, 5106, 563, 268, 2608, 6347, 292, 808, 15647, 278, 910, 17434, 14408, 292, 270, 570, 10157, 30318, 6657, 585, 454, 16978, 3055, 4578, 3955, 4219, 9737, 5843, 26367, 7010, 538, 454, 3891, 8283, 1673, 14280, 27990, 10241, 269, 630, 8450, 3794, 27443, 540, 589, 7034, 16301, 454, 1721, 4214, 540, 14408, 292, 8094, 268, 2878, 6347, 292, 808, 4572, 273, 910, 18120, 1068, 1778, 6513, 28497, 585, 18329, 454, 6944, 1503, 338, 13242, 538, 23839, 268, 543, 24581, 1673, 14280, 667, 19342, 2201, 30041, 3118, 10241, 563, 268, 2878, 265, 6347, 292, 808, 4350, 280, 910, 589, 3126, 540, 14408, 292, 30318, 13756, 454, 7474, 5581, 6189, 543, 7014, 585, 513, 17626, 1852, 543, 454, 20664, 3060, 585, 1585, 3937, 2010, 563, 7628, 29584, 267, 519, 10566, 308, 3096, 6453, 20512, 689, 1142, 8868, 3432, 454, 338, 16428, 547, 3313, 8868, 3432, 2242, 269, 1403, 519, 10566, 308, 11887, 454, 7474, 519, 13942, 2557, 540, 519, 2283, 539, 14743, 6920, 31873, 9376, 5346, 2676, 527, 9979, 519, 589, 7034, 1110, 15975, 17901, 547, 12189, 20347, 2011, 2604, 454, 553, 2877, 547, 1683, 519, 1655, 29584, 2009, 563, 763, 10566, 308, 15920, 6786, 547, 519, 589, 7034, 29840, 13525, 17689, 454, 528, 1025, 1074, 3009, 17689, 547, 5968, 589, 7034, 24966, 269, 898, 849, 15920, 6786, 454, 1729, 519, 29472, 518, 1852, 547, 771, 1263, 720, 519, 29472, 518, 950, 519, 589, 7034, 454, 529, 2324, 269, 1879, 519, 589, 7034, 13515, 1110, 6819, 519, 20347, 2604, 2676, 1492 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3391, 269, 570, 2293, 616, 17298, 693, 1022, 942, 540, 519, 1032, 267, 1022, 1554, 540, 519, 3018, 585, 4896, 267, 689, 1153, 1453, 547, 2520, 5505, 563, 307, 2293, 8977, 689, 623, 776, 338, 543, 2063, 476, 274, 547, 476, 277, 3108, 269, 12875, 6238, 609, 513, 6881, 4553, 676, 513, 4663, 998, 519, 966, 1042, 1030, 677, 25561, 924, 8177, 12856, 9683, 1082, 16752, 543, 8978, 4609, 563, 7830, 4425, 558, 6008, 564, 267, 623, 776, 338, 454, 10403, 3557, 267, 3162, 4000, 454, 17490, 281, 1341, 2767, 630, 271, 264, 476, 6321, 476, 279, 1556, 476, 21709, 279, 454, 300, 9394, 281, 1341, 2767, 630, 271, 264, 476, 11025, 476, 8660, 272, 476, 278, 1626, 274, 0, 291, 2135, 528, 889, 545, 514, 281, 4165, 710, 31129, 15084, 5833, 689, 6790, 696, 3912, 806, 890, 1075, 564, 3780, 269, 898, 568, 513, 18038, 344, 12045, 540, 21096, 7419, 3036, 18510, 2975, 2562, 5861, 5670, 2684, 6664, 29524, 281, 2776, 19387, 540, 606, 12659, 2643, 908, 9436, 28401, 1884, 710, 31129, 543, 6375, 657, 6269, 4809, 8665, 602, 1590, 581, 15181, 538, 519, 700, 4353, 2207, 547, 1106, 519, 3742, 620, 323, 2684, 6664, 29524, 269, 898, 814, 1044, 1031, 538, 519, 2126, 540, 700, 312, 6573, 295, 6865, 288, 543, 19845, 20084, 4932, 8656, 269, 4706, 2427, 1198, 267, 9338, 8008, 4488, 8656, 267, 814, 1044, 1031, 585, 1219, 23932, 1424, 13265, 269, 20676, 2684, 6664, 29524, 949, 849, 2014, 10322, 1006, 267, 4332, 12889, 267, 13592, 267, 543, 2860, 9950, 9008, 657, 728, 281, 589, 5033, 529, 24678, 12045, 540, 623, 7495, 8008, 14176, 17247, 5588, 302, 311, 2562, 602, 15225, 25710, 32214, 2534, 269, 661, 9008, 657, 728, 29620, 5027, 10282, 676, 8108, 513, 1950, 609, 1283, 12251, 9593, 848, 4083, 543, 5027, 269, 901, 1950, 28901, 9397, 538, 5595, 18843, 539, 5027, 543, 11151, 7816, 676, 1283, 12251, 9593, 848, 4083, 11006, 269, 6452, 636, 4327, 9397, 538, 5027, 2061, 7127, 883, 519, 5378, 5328, 5123, 540, 1591, 6498, 267, 543, 1291, 547, 1591, 2669, 269, 661, 9008, 657, 728, 6411, 5097, 538, 519, 717, 273, 543, 590, 11775, 540, 519, 1591, 4783, 11482, 558, 755, 710, 281, 1323, 12659, 2643, 908, 8665, 540, 1871, 1996, 1312, 22104, 11043, 30279, 17473, 543, 4396, 12970, 17679, 4532, 320, 1325, 32039, 6950, 281, 589, 1895, 540, 967, 1961, 23949, 13238, 3897, 619, 799, 616, 9338, 298, 3201, 302, 10680, 5833, 689, 519, 966, 2562, 7563, 12593, 540, 2371, 269, 1358, 21391, 12249, 1436, 540, 570, 18510, 8085, 2562, 883, 631, 2975, 4629, 307, 18510, 8085, 2464, 3976, 17527, 32605, 5250, 543, 10654, 532, 2281, 538, 631, 4953, 4338, 295, 17955, 269, 1358, 616, 930, 540, 519, 1034, 3730, 4888, 2316, 20911, 8008, 299, 3008, 12087, 17985, 19006, 6993, 660, 710, 31129, 3397, 757, 267, 24695, 339, 8328, 281, 3397, 757, 5833, 689, 2362, 2371, 602, 723, 27313, 14259, 1076, 11118, 739, 1738, 610, 1884, 710, 31129, 2534, 17679, 514, 4565, 770, 710, 281, 4165, 527, 32214, 30175, 1355, 9678, 689, 966, 4532, 320, 9782, 320, 269, 630, 30560, 1188, 267, 476, 1556, 628, 1196, 4700, 300, 996, 582, 516, 343, 622, 281, 1323, 1884, 710, 31129, 17059, 564, 21966, 924, 609, 6375, 657, 6269, 816, 656, 3601, 269, 898, 568, 606, 28166, 540, 570, 4953, 6938, 14176, 291, 4629, 293, 5357, 12442, 16692, 14176, 291, 4629, 12283, 2793, 10345, 543, 11151, 519, 5250, 540, 25543, 5139, 549, 9110, 622, 267, 2556, 585, 10282, 540, 555, 2096, 573, 2643, 622, 267, 606, 1898, 5057, 540, 5027, 10422, 8566, 569, 19817, 4710, 514, 281, 589, 476, 10204, 10275, 291, 320, 18993, 19830, 2033, 9848, 19817, 4710, 514, 689, 519, 15988, 13637, 540, 21085, 5174, 18853, 5058, 595, 19798, 4953, 15288, 13138, 3198, 9915, 18306, 8991, 269, 898, 5713, 607, 606, 21085, 17466, 2498, 12999, 6802, 585, 513, 3099, 540, 6464, 267, 1519, 1082, 4888, 2316, 20911, 8008, 299, 3008, 12087, 17985, 19006, 269, 744, 3164, 343, 16054, 540, 713, 9848, 19817, 4710, 514, 568, 2404, 609, 17326, 2607, 4187, 630, 5408, 19010, 308, 294, 19419, 8780, 23814, 267, 631, 8085, 2316, 303, 4041, 1040, 291, 2607, 18650, 281, 17435, 31944, 610, 8959, 3210, 540, 606, 11248, 267, 2068, 610, 5160, 547, 519, 5497, 7145, 540, 513, 3114, 610, 3075, 269, 898, 1058, 581, 21630, 689, 19010, 308, 294, 570, 5357, 2207, 23814, 799, 568, 519, 11636, 11527, 1081, 540, 519, 18687, 540, 513, 1480, 610, 3662, 547, 519, 2360, 540, 513, 3075, 267, 607, 513, 1267, 540, 4797, 7245, 6993, 660, 756, 3672, 267, 3933, 16438, 4689, 267, 12653, 710, 5937, 518, 1882, 281, 25095, 3672, 5833, 689, 513, 2582, 804, 821, 540, 2281, 6738, 538, 8983, 610, 14148, 269, 8867, 23627, 623, 4343, 279, 281, 1323, 8097, 9726, 7514, 6776, 26679, 8385, 13251, 538, 667, 10621, 270, 273, 8983, 676, 7206, 609, 18861, 3273, 13183, 16867, 11482, 8233, 5448, 267, 6348, 6953, 617, 326, 7219, 281, 7102, 540, 513, 1895, 540, 23872, 12970, 540, 9726, 1355, 5160, 602, 8428, 689, 670, 7495, 294, 298, 2562, 20591, 292, 17955, 267, 1373, 811, 26945, 609, 2463, 547, 23872, 1591, 22871, 267, 4791, 1576, 267, 23567, 267, 543, 3797, 269, 634, 1152, 1455, 4183, 1851, 891, 12970, 568, 519, 9000, 540, 9649, 11555, 3633, 4149, 9898, 301, 21612, 294, 595, 5085, 11862, 267, 513, 8984, 540, 32095, 326, 7219, 781, 2068, 269, 2026, 1706, 698, 514, 848, 281, 589, 3289, 1503, 848, 11747, 602, 17838, 700, 23829, 1706, 2602, 543, 1216, 547, 700, 23829, 4820, 622, 543, 19760, 274, 269, 10566, 476, 7277, 269, 10482, 269, 2412, 269, 18684, 269, 23382, 1441, 3525, 1275, 10657, 281, 634, 2126, 540, 513, 2068, 610, 2783, 676, 1896, 1114, 1797, 8195, 610, 18615, 569, 269, 6314, 334, 9404, 684, 8839, 267, 681, 4696, 22473, 8379, 300, 7419, 30862, 2207, 4338, 312, 267, 2447, 528, 611, 23956, 267, 3956, 32554, 8839, 267, 543, 590, 3201, 309, 17803, 8946, 2207, 4338, 312, 616, 2938, 1034, 4749, 267, 855, 741, 10659, 609, 1142, 824, 543, 6391, 616, 849, 1031, 6185, 320, 684, 528, 889, 545, 514, 281, 589, 1360, 6757, 16320, 6483, 743, 710, 993, 514, 16570, 6523, 728, 1884, 710, 31129, 9678, 689, 6790, 696, 3912, 806, 890, 1075, 564, 3780, 543, 1866, 267, 1031, 538, 2126, 540, 19845, 20084, 4932, 8656, 543, 824, 17252, 8008, 299, 3008, 5960, 6185, 2607, 18650, 267, 13038, 281, 30027, 748, 4187, 547, 1896, 1785, 12147, 543, 1599, 958, 3982, 5061, 10422, 1042, 333, 18066, 821, 281, 589, 6722, 665, 20294, 1355, 609, 519, 2489, 3601, 540, 519, 29416, 8803, 6950, 269, 898, 568, 519, 3075, 540, 3903, 585, 782, 2175, 538, 799, 6296, 11528, 29416, 8803, 1355, 3797, 568, 8612, 267, 4849, 29427, 10638, 2829, 11482, 8233, 5448, 267, 14066, 645, 4211, 749, 267, 5262, 2224, 281, 5689, 17257, 28623, 7768, 540, 1804, 645, 9726, 1355, 2281, 4171, 6046, 2450, 666, 9765, 3339, 27104, 720, 22140, 267, 610, 811, 982, 7466, 519, 2450, 540, 513, 3339, 9726, 22889, 269, 634, 4806, 568, 15866, 27556, 269, 4107, 540, 891, 9726, 5557, 2099, 519, 23872, 11218, 540, 645, 268, 569, 332, 874, 14231, 693, 22984, 720, 538, 519, 1184, 540, 15285, 10611, 4725, 3256, 344, 657, 541, 19265, 281, 589, 23872, 4396, 10510, 16109, 689, 8544, 26067, 2096, 531, 8031, 799, 7363, 16174, 547, 1106, 4174, 730, 4887, 269, 898, 666, 2049, 538, 513, 2647, 3099, 540, 4609, 269, 898, 568, 5258, 883, 2185, 3982, 2010, 281, 5418, 25806, 267, 15866, 538, 5256, 4079, 282, 31276, 6897, 630, 305, 295, 5723, 291, 6865, 312, 5308, 2752, 4596, 7246, 267, 9338, 12717, 5357, 2752, 1070, 5631, 538, 10708, 543, 1762, 4079, 282, 11616, 4689, 630, 305, 295, 5723, 291, 6865, 312, 5308, 2752, 4596, 7246, 267, 661, 11586, 23802, 2177, 3201, 1070, 15866, 538, 12256, 543, 1453, 282, 543, 7762, 787, 18042, 267, 849, 538, 1762, 1453, 269, 898, 568, 835, 540, 519, 1034, 4749, 9648, 2571, 5160, 32646, 1260, 553, 543, 519, 1034, 1455, 538, 1453, 896, 476, 1428, 269, 630, 5804, 16910, 1633, 267, 476, 2767, 628, 1196, 282, 26652, 1696, 620, 1421, 9435, 6925, 267, 476, 274, 323, 1196, 267, 533, 25908, 277, 282, 1546, 309, 7534, 12789, 1696, 620, 1421, 9435, 281, 14362, 1299, 6657, 540, 2201, 19223, 267, 476, 274, 323, 1196, 267, 6032, 13932, 278, 268, 280, 264, 291, 2607, 10029, 21480, 281, 5384, 8430, 585, 7245, 540, 513, 3075, 538, 1931, 547, 3035, 19993, 7145, 543, 13418, 269, 7230, 2153, 1473, 25934, 281, 634, 8427, 957, 610, 1184, 602, 4384, 919, 513, 3210, 547, 513, 2347, 610, 9864, 1121, 2153, 1377, 5861, 12682, 541, 629, 710, 281, 589, 7510, 3234, 26593, 7576, 657, 728, 12746, 602, 568, 1031, 5631, 538, 519, 2126, 540, 26679, 267, 2523, 8650, 1875, 268, 569, 332, 874, 29793, 2880, 26679, 269, 7261, 30198, 629, 710, 568, 606, 17059, 564, 21966, 924, 1884, 710, 31129, 8665, 602, 29620, 519, 10282, 540, 5027, 269, 4706, 3527, 616, 1808, 585, 519, 590, 5123, 540, 519, 1591, 4783, 269, 898, 849, 814, 27179, 543, 6375, 657, 6269, 816, 656, 3601, 269, 630, 5804, 6742, 785, 1446, 267, 634, 23448, 24103, 641, 4141, 807, 267, 476, 1789, 628, 1196, 267, 533, 5325, 273, 264, 7093, 19387, 8426, 700, 8233, 29793, 2880, 2274, 23627, 6441, 8233, 5448, 281, 589, 683, 22914, 6353, 676, 17244, 540, 519, 9726, 1355, 1591, 840, 15479, 832, 3056, 547, 7050, 9726, 29793, 6814, 538, 519, 20768, 543, 824, 8219, 269, 898, 568, 519, 1034, 1455, 2860, 538, 1453, 543, 6589, 585, 519, 5318, 5354, 540, 782, 6689, 682, 8123, 332, 5362, 13034, 617, 326, 7219, 8376, 281, 589, 23872, 2068, 6353, 676, 11636, 23822, 618, 540, 519, 9726, 9136, 267, 838, 22220, 267, 543, 2489, 9726, 1355, 5160, 269, 769, 519, 8106, 14583, 267, 9649, 2356, 1617, 514, 16197, 622, 32095, 326, 7219, 781, 543, 11555, 3633, 4149, 9898, 301, 21612, 294, 595, 5085, 11862, 616, 1459, 282, 538, 519, 12162, 983, 9726, 22889, 12880, 14583, 267, 9726, 7514, 6776, 543, 1277, 328, 7514, 6776, 2281, 616, 2938, 6185, 716, 514, 3912, 11142, 281, 589, 7623, 7768, 540, 513, 1079, 595, 312, 12710, 2975, 623, 7968, 2316, 291, 2464, 7923, 547, 513, 4307, 2135, 8872, 602, 568, 6508, 689, 5254, 3918, 8976, 6865, 312, 290, 2464, 1612, 341, 1638, 639, 269, 898, 25907, 547, 5027, 543, 29620, 10717, 10282, 630, 10520, 5524, 1070, 609, 5832, 20436, 566, 811, 6213, 982, 22612, 267, 26694, 267, 610, 5305, 269, 1306, 513, 1267, 540, 15176, 22328, 2504, 267, 3940, 10282, 849, 23229, 1310, 546, 716, 514, 3912, 11142, 3797, 269, 630, 5804, 589, 7246, 10684, 10159, 340, 725, 16316, 267, 476, 1960, 274, 267, 533, 1001, 276, 264, 310, 1511, 2280, 5811, 281, 28686, 543, 1239, 4393, 1505, 602, 3096, 17883, 540, 5951, 7410, 547, 16977, 267, 7447, 267, 610, 14771, 6786, 609, 13113, 942, 543, 4908, 11890, 269, 898, 4564, 513, 5365, 610, 1239, 538, 2474, 540, 513, 3728, 9178, 532, 5951, 2280, 3126, 689, 519, 3312, 18634, 5951, 2280, 267, 1572, 519, 3993, 5951, 2280, 269, 901, 6310, 5690, 814, 1044, 7550, 4922, 538, 24118, 10459, 585, 1239, 543, 5365, 4393, 538, 6846, 8851, 543, 8301, 270, 13548, 13496, 630, 324, 3052, 1421, 661, 9680, 543, 18909, 1040, 307, 601, 30231, 624, 12118, 281, 32719, 550, 546, 7976, 540, 840, 1410, 12371, 1973, 8043, 630, 290, 4338, 21135, 2752, 22494, 282, 8121, 9898, 296, 5357, 2464, 282, 966, 2894, 8085, 2464, 264, 2870, 1507, 17122, 2699, 15087, 267, 1034, 4122, 538, 519, 2960, 610, 29935, 17011, 269, 898, 568, 6353, 676, 519, 23146, 540, 2960, 1973, 8043, 267, 971, 607, 15466, 20151, 20166, 5554, 30705, 5766, 30869, 281, 589, 5266, 3500, 21212, 1350, 328, 5448, 602, 568, 6508, 689, 23731, 30705, 24945, 5052, 543, 11148, 547, 2049, 538, 519, 19548, 8280, 7371, 12742, 267, 555, 31726, 267, 610, 14694, 28602, 548, 269, 1358, 949, 1459, 693, 1022, 2085, 267, 855, 616, 1034, 7928, 538, 519, 3791, 547, 11359, 5756, 267, 609, 606, 4505, 11841, 8445, 538, 519, 1101, 8717, 269, 2876, 10999, 267, 891, 12970, 616, 20206, 4327, 267, 5266, 1285, 6018, 267, 543, 4043, 547, 1106, 30219, 543, 2890, 5632, 322, 5874, 269, 3026, 31129, 2281, 4043, 547, 723, 1507, 5180, 22140, 11303, 676, 13417, 7134, 22140, 269, 634, 12970, 949, 4268, 689, 1134, 1673, 27075, 7007, 547 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 476, 275, 269, 273, 16214, 540, 3962, 7151, 607, 513, 7844, 540, 20429, 5025, 551, 17300, 16958, 692, 1103, 713, 3296, 267, 649, 786, 6218, 1142, 3140, 1383, 540, 610, 2218, 5189, 538, 3848, 476, 274, 998, 519, 7828, 540, 5639, 19840, 17300, 6392, 269, 1284, 5581, 5639, 19840, 17300, 6392, 607, 519, 2702, 547, 8300, 2962, 267, 3337, 4978, 267, 543, 3715, 17258, 1210, 9275, 1893, 269, 901, 6268, 786, 1450, 721, 547, 1174, 875, 891, 10529, 941, 2111, 547, 10244, 741, 9739, 547, 3035, 971, 7415, 905, 1846, 543, 2015, 1018, 4245, 666, 581, 4294, 2221, 780, 288, 269, 3131, 2873, 262, 8342, 1968, 744, 1674, 630, 288, 1492, 985, 267, 476, 276, 628, 11416, 14514, 17107, 265, 3131, 2873, 729, 2111, 547, 3927, 24808, 23723, 1014, 11180, 2418, 543, 16431, 267, 7551, 9591, 1010, 1378, 5837, 6392, 607, 513, 6205, 269, 3571, 4633, 6039, 607, 513, 3532, 12576, 540, 18603, 262, 2189, 2686, 3961, 543, 922, 7029, 547, 9111, 267, 3976, 17923, 922, 2990, 607, 513, 3056, 2749, 15581, 1282, 713, 942, 563, 265, 3414, 1010, 1714, 13228, 550, 6765, 267, 3131, 2873, 849, 27838, 9322, 1851, 519, 4961, 676, 10771, 3838, 2418, 543, 2833, 269, 1261, 17019, 519, 24279, 1500, 676, 1346, 945, 1185, 5747, 21108, 18603, 267, 2870, 606, 3929, 4276, 609, 1010, 5304, 563, 265, 6206, 1491, 12537, 281, 589, 10584, 1590, 581, 7184, 5432, 609, 519, 2418, 543, 17050, 540, 741, 2146, 547, 6707, 1045, 5803, 5639, 19840, 17300, 6392, 269, 1635, 1620, 835, 781, 5304, 267, 513, 10584, 666, 4739, 6835, 602, 13469, 14156, 543, 6536, 17604, 780, 289, 269, 1924, 30394, 1676, 18266, 781, 834, 288, 514, 1405, 594, 513, 19716, 8119, 16594, 630, 18197, 2276, 267, 476, 6977, 272, 17107, 265, 1924, 30394, 1676, 18266, 1031, 1200, 2123, 1995, 607, 1312, 513, 4807, 543, 606, 3979, 1977, 547, 4161, 6848, 8155, 543, 6788, 269, 4173, 1913, 12006, 519, 28622, 540, 15746, 5185, 676, 3109, 2021, 1282, 713, 1974, 563, 265, 2701, 6964, 17720, 2055, 543, 17279, 547, 1390, 1198, 267, 5373, 3007, 547, 519, 29927, 1369, 7440, 1996, 2021, 781, 2924, 543, 7292, 7862, 269, 1452, 2553, 4847, 1200, 547, 7682, 9887, 18390, 9624, 513, 15866, 3043, 5256, 5304, 563, 265, 6206, 1491, 12537, 281, 14146, 532, 17720, 3457, 543, 9001, 2123, 2833, 666, 22937, 13597, 543, 1379, 547, 513, 5048, 267, 7175, 10529, 547, 13720, 17888, 12886, 543, 11475, 811, 3927, 780, 290, 269, 9410, 13162, 3751, 12789, 9538, 338, 834, 296, 5620, 513, 14134, 257, 16594, 630, 18197, 2276, 267, 476, 3422, 274, 17107, 265, 3220, 269, 3751, 1045, 12097, 13400, 11052, 543, 23199, 2429, 1010, 2232, 267, 8220, 519, 6560, 585, 3540, 2924, 609, 3909, 4798, 543, 6698, 1134, 1634, 547, 1010, 3309, 5304, 563, 265, 1261, 8246, 6252, 1143, 267, 24754, 20017, 775, 267, 543, 782, 28375, 547, 1711, 12300, 2453, 602, 10489, 2105, 5198, 543, 11585, 9497, 10403, 693, 2063, 256, 5131, 693, 2063, 256, 11289, 2696, 31471, 26663, 267, 649, 616, 1863, 693, 2063, 10590, 1040, 901, 5578, 995, 12879, 540, 1893, 21235, 1010, 5075, 3015, 543, 11121, 547, 6634, 1472, 519, 1158, 563, 265, 6206, 1491, 12537, 281, 14301, 2390, 24080, 6956, 2035, 543, 14139, 10409, 2645, 666, 948, 10529, 3914, 6626, 9458, 267, 2810, 741, 3310, 543, 1764, 780, 291, 269, 20152, 2334, 7815, 781, 20271, 894, 9549, 10985, 17372, 630, 18197, 8003, 267, 476, 3192, 276, 17107, 265, 769, 1200, 1101, 2101, 2232, 1310, 1373, 11221, 6205, 540, 519, 20271, 894, 9549, 267, 2334, 7815, 12050, 569, 10645, 9562, 936, 1200, 2797, 6138, 1765, 706, 321, 5523, 834, 6546, 7815, 1143, 257, 1765, 2421, 17548, 267, 834, 4131, 803, 2285, 596, 1250, 2070, 1701, 901, 17083, 6825, 519, 4098, 540, 1200, 4473, 547, 1831, 6628, 781, 1101, 4775, 6305, 14012, 563, 265, 10801, 519, 4633, 267, 1352, 24829, 6015, 538, 1200, 2093, 543, 5718, 5759, 267, 11744, 4971, 936, 3609, 3877, 1247, 4509, 8887, 1464, 998, 8100, 547, 4948, 1272, 563, 265, 6206, 1491, 12537, 281, 26787, 13951, 607, 606, 22265, 4137, 3340, 1788, 532, 1582, 12431, 4269, 267, 6791, 267, 543, 6568, 8195, 269, 1879, 2944, 7157, 267, 621, 2636, 10529, 547, 1921, 13948, 609, 19700, 1247, 1128, 3739, 3972, 538, 741, 7207, 780, 292, 269, 5689, 8403, 962, 748, 2378, 345, 2967, 781, 17587, 13458, 15356, 17976, 630, 301, 528, 3118, 267, 476, 1001, 275, 17107, 265, 6736, 6849, 10373, 14488, 1813, 547, 1200, 17933, 585, 6690, 262, 2069, 267, 5689, 8403, 12038, 6612, 2299, 827, 1200, 2014, 1510, 13151, 17741, 547, 15280, 1145, 610, 10845, 269, 5502, 267, 1352, 8756, 539, 1200, 1648, 883, 5009, 4126, 543, 6043, 563, 265, 2701, 9619, 2518, 3401, 2047, 267, 13267, 547, 741, 2631, 540, 10279, 543, 5539, 2509, 1453, 5001, 269, 1635, 3257, 865, 267, 1352, 7152, 15657, 3564, 1200, 1296, 543, 10268, 11108, 1093, 1047, 896, 2604, 563, 265, 6206, 6875, 12537, 281, 24367, 735, 3837, 543, 2519, 593, 2318, 4093, 666, 3648, 3986, 513, 10584, 781, 10388, 7060, 267, 2523, 950, 5466, 9565, 5515, 4171, 1489, 568, 2629, 585, 8236, 5551, 3853, 780, 3528, 6313, 891, 32055, 8320, 540, 610, 2218, 267, 649, 666, 2697, 1455, 16060, 18955, 2429, 3811, 18531, 9447, 2066, 5553, 543, 4529, 269, 4197, 891, 2609, 6087, 2413, 6377, 10529, 547, 1020, 741, 5639, 19840, 17300, 6392, 267, 4180, 789, 1932, 666, 4734, 9434, 24221, 593, 741, 9458, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 8110, 18504, 540, 5295, 281, 2107, 2218, 543, 16958, 689, 519, 9147, 2622, 547, 519, 5403, 19640, 257, 5497, 585, 2852, 1053, 563, 2171, 723, 2907, 4988, 3184, 4433, 264, 834, 272, 269, 4985, 2580, 834, 273, 269, 28636, 540, 610, 2218, 2580, 834, 274, 269, 6201, 540, 610, 2218, 257, 543, 616, 1631, 1603, 513, 3184, 593, 834, 275, 269, 10495, 540, 610, 2218, 8487, 2171, 723, 2907, 4988, 519, 1739, 1016, 26972, 538, 519, 1699, 3184, 281, 834, 275, 269, 272, 269, 5811, 540, 1142, 1383, 540, 610, 2218, 8487, 2237, 519, 1007, 1016, 15492, 11331, 834, 275, 269, 273, 269, 16214, 540, 1142, 1383, 607, 513, 2203, 540, 5639, 19840, 17300, 6392, 257, 1247, 3843, 547, 581, 912, 268, 21004, 910, 596, 1711, 4101, 9499, 602, 3382, 519, 1570, 538, 3178, 563, 268, 12056, 910, 707, 9499, 723, 513, 2239, 9095, 543, 2502, 3159, 267, 899, 519, 1603, 540, 7812, 11066, 563, 268, 11930, 910, 596, 946, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 8855, 547, 1118, 1543, 6098, 693, 2852, 1053, 267, 945, 949, 723, 930, 13654, 1702, 855, 616, 711, 4966, 538, 519, 2361, 269, 634, 1570, 1058, 581, 2143, 543, 2219, 4538, 269, 0, 6092, 5149, 281, 2776, 2286, 543, 13067, 850, 9455, 910, 19457, 2659, 18321, 6145, 9400, 654, 584, 3387, 8681, 692, 8893, 20638, 281, 4841, 786, 1174, 519, 2956, 540, 4687, 741, 5132, 998, 840, 2286, 543, 4630, 850, 9455, 676, 1565, 827, 519, 1272, 543, 960, 540, 9400, 654, 584, 3387, 8681, 267, 513, 4936, 1014, 2250, 528, 945, 12703, 569, 3838, 1010, 4978, 5103, 6849, 20655, 780, 7072, 281, 5620, 596, 2479, 5433, 8401, 827, 6158, 547, 1866, 827, 707, 3909, 4978, 286, 9320, 596, 2811, 14126, 789, 4465, 1405, 1174, 610, 602, 789, 1522, 10990, 609, 596, 269, 4270, 267, 596, 2811, 711, 4805, 256, 4634, 1004, 899, 9400, 654, 584, 3387, 8681, 267, 513, 2250, 528, 689, 27597, 267, 5185, 2147, 2591, 950, 4687, 741, 5132, 269, 1717, 267, 646, 1336, 3860, 2081, 547, 3262, 1010, 5048, 267, 1256, 1282, 2352, 2053, 269, 2913, 781, 1451, 811, 827, 1864, 543, 875, 649, 666, 2671, 938, 1378, 4978, 18390, 780, 4089, 476, 272, 281, 5808, 12984, 9400, 654, 584, 3387, 8681, 888, 32178, 654, 584, 3387, 8681, 630, 5002, 280, 268, 1220, 272, 264, 729, 513, 4936, 1014, 2250, 528, 945, 5030, 1282, 513, 942, 950, 1209, 1235, 6417, 1010, 2197, 269, 6736, 1373, 18486, 267, 12475, 3293, 267, 543, 7836, 1296, 538, 7890, 1317, 540, 1010, 5132, 267, 654, 584, 3387, 8681, 2760, 11074, 4687, 519, 1434, 3377, 827, 4906, 269, 1261, 5206, 2835, 543, 14612, 1472, 519, 1158, 547, 2995, 1004, 827, 1010, 2833, 543, 5000, 873, 547, 1796, 2178, 538, 741, 4978, 780, 12244, 281, 19147, 1053, 883, 8424, 543, 723, 873, 1382, 1114, 3344, 540, 9400, 654, 584, 3387, 8681, 781, 1272, 1210, 6325, 2959, 269, 30850, 267, 1142, 6292, 786, 2671, 1018, 789, 4121, 609, 519, 1362, 780, 4089, 476, 273, 281, 1548, 1772, 2776, 2286, 543, 13067, 850, 9455, 888, 3086, 267, 1577, 781, 2911, 827, 1079, 1271, 2474, 281, 840, 2286, 543, 4630, 850, 9455, 269, 2776, 2286, 1797, 4687, 513, 28005, 517, 610, 5048, 1759, 593, 3909, 10752, 269, 13067, 850, 9455, 4016, 547, 519, 1148, 540, 8600, 543, 12419, 1346, 6835, 3927, 269, 654, 584, 3387, 8681, 1031, 1312, 840, 2286, 543, 4630, 850, 9455, 547, 8300, 543, 13599, 1866, 827, 1010, 5132, 780, 7078, 281, 5994, 596, 1616, 547, 2671, 1946, 11587, 568, 1898, 2687, 547, 707, 4984, 269, 1411, 1223, 2328, 1524, 707, 4555, 543, 2259, 9306, 873, 9020, 16484, 543, 5693, 547, 707, 2828, 610, 1920, 20196, 1131, 581, 840, 2286, 543, 8026, 4630, 850, 9455, 2439, 4089, 476, 274, 281, 11300, 18467, 547, 9523, 2659, 18321, 454, 310, 584, 3387, 8681, 1185, 547, 1265, 2189, 2081, 547, 2671, 1010, 5132, 1247, 9319, 10751, 896, 21340, 4341, 269, 1280, 1383, 267, 646, 4371, 5728, 5939, 2533, 538, 11895, 536, 6064, 619, 543, 26866, 1229, 19001, 538, 1857, 4025, 1141, 11755, 729, 27209, 269, 1284, 949, 711, 3068, 971, 3665, 6381, 267, 855, 972, 616, 1869, 7899, 540, 3860, 2081, 547, 2671, 938, 4978, 780, 12244, 281, 11020, 10445, 1585, 2409, 547, 2671, 835, 781, 5132, 267, 1287, 7522, 1524, 519, 1592, 547, 519, 1283, 2947, 1034, 2500, 2994, 5078, 585, 1647, 1153, 1053, 269, 11559, 5876, 543, 13784, 780, 6962, 281, 9400, 654, 584, 3387, 8681, 4951, 6909, 10100, 543, 8990, 950, 4687, 1010, 5132, 267, 1256, 1282, 4101, 2053, 269, 1635, 1620, 840, 2286, 543, 4630, 850, 9455, 543, 4466, 6427, 633, 2081, 547, 5968, 938, 4978, 267, 1175, 899, 654, 584, 3387, 8681, 1705, 267, 649, 1932, 666, 23217, 543, 31635, 2671, 938, 5132, 609, 1866, 780, 10112, 20156, 281, 9105, 1053, 547, 1711, 513, 2110, 6881, 11744, 741, 5172, 1259, 547, 2671, 741, 5132, 267, 6220, 2609, 540, 840, 2286, 543, 4630, 850, 9455, 269, 1358, 666, 957, 856, 513, 9183, 267, 2721, 5961, 267, 610, 2328, 513, 7097, 269, 901, 2534, 7512, 1582, 22325, 543, 8711, 519, 1883, 2035, 4988, 2429, 519, 3992, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2414, 519, 4860, 269, 654, 269, 26573, 20831, 267, 4937, 10615, 540, 519, 3864, 4168, 17030, 538, 5507, 267, 945, 267, 2390, 1250, 5305, 689, 7890, 538, 476, 3422, 275, 267, 3357, 547, 27597, 607, 513, 28034, 689, 10271, 538, 519, 4639, 269, 9373, 532, 938, 2777, 1360, 3735, 693, 3781, 267, 1310, 2348, 3144, 1082, 13390, 1081, 776, 3800, 267, 646, 4547, 721, 1913, 540, 2648, 543, 4313, 607, 1134, 607, 8323, 585, 3885, 540, 4168, 12004, 344, 3464, 269, 2201, 15773, 540, 891, 21705, 21071, 267, 594, 1934, 2421, 2769, 938, 14696, 563, 268, 476, 272, 634, 28592, 685, 2997, 573, 774, 1009, 585, 2441, 454, 268, 476, 273, 968, 15124, 518, 11146, 670, 987, 3143, 2494, 7536, 268, 476, 274, 681, 22095, 543, 24793, 585, 4518, 538, 519, 4639, 454, 268, 476, 275, 4347, 324, 908, 4004, 1143, 2060, 519, 11146, 540, 2441, 454, 268, 476, 276, 634, 12833, 4532, 1043, 267, 654, 7655, 26789, 5783, 454, 268, 476, 277, 1215, 8567, 1772, 4347, 324, 908, 4004, 1143, 454, 268, 476, 278, 1215, 5375, 10271, 2052, 6435, 454, 32178, 654, 584, 3387, 8681, 1767, 267, 968, 307, 677, 3293, 585, 2441, 814, 1100, 5339, 1871, 269, 898, 729, 2854, 538, 1152, 1614, 2395, 16172, 1310, 1250, 5305, 689, 7890, 269, 1809, 621, 729, 2854, 609, 4050, 543, 17229, 269, 1656, 585, 930, 2601, 267, 2696, 814, 6074, 547, 12196, 713 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 960, 609, 1447, 4887, 4674, 543, 3152, 3432, 267, 3976, 1818, 741, 960, 4443, 269, 634, 14411, 3163, 10418, 781, 5692, 568, 1412, 1729, 10508, 267, 1217, 543, 4161, 8436, 998, 2502, 543, 2219, 4538, 2833, 538, 2257, 543, 2029, 563, 288, 570, 1005, 3684, 568, 513, 6310, 2203, 540, 19106, 602, 11225, 606, 7493, 3684, 267, 799, 6354, 12885, 6698, 593, 513, 14816, 540, 11746, 2687, 547, 513, 3349, 540, 3652, 563, 8601, 519, 2203, 781, 16134, 267, 2016, 1022, 2780, 5690, 267, 513, 570, 1005, 3684, 5827, 540, 1138, 6819, 602, 5690, 781, 7954, 666, 581, 9112, 269, 634, 3684, 13333, 593, 606, 12808, 3965, 11746, 5258, 883, 15768, 2281, 7868, 6609, 540, 2241, 6191, 543, 922, 3096, 0, 3849, 3421, 12412, 568, 513, 1974, 540, 11358, 1689, 538, 2634, 1646, 269, 898, 10483, 676, 7096, 5042, 15515, 24173, 267, 30717, 543, 2618, 545, 2242, 609, 2799, 13438, 547, 1981, 2921, 269, 19227, 267, 2687, 547, 2090, 5342, 538, 519, 2136, 2276, 543, 5245, 267, 19591, 4713, 1860, 1063, 476, 1556, 260, 543, 476, 4366, 260, 540, 10708, 609, 513, 4524, 1644, 547, 519, 946, 540, 513, 28400, 5562, 6219, 543, 4160, 4713, 1860, 1063, 476, 278, 260, 543, 476, 2412, 260, 672, 1547, 12870, 538, 18273, 568, 2404, 609, 1896, 2188, 971, 607, 15534, 2465, 1143, 543, 1153, 5821, 267, 19408, 4638, 5615, 267, 2078, 7965, 543, 6219, 6057, 476, 1547, 769, 1249, 267, 4965, 3788, 606, 1271, 1981, 3815, 585, 15522, 8213, 476, 2073, 10269, 267, 4568, 543, 15267, 616, 519, 6878, 1034, 4122, 10057, 676, 10708, 672, 1547, 5047, 267, 18273, 568, 2808, 513, 1981, 1974, 585, 519, 4616, 540, 28400, 5562, 6878, 476, 1547, 4935, 267, 519, 5767, 11335, 3427, 11752, 5741, 593, 15850, 543, 4033, 24391, 630, 300, 3633, 306, 5183, 264, 1867, 630, 1001, 275, 264, 476, 6920, 602, 519, 9860, 540, 519, 946, 540, 1114, 28400, 5562, 6878, 1851, 21185, 4754, 10708, 9907, 476, 1428, 547, 476, 1704, 568, 607, 5205, 281, 30926, 476, 1704, 9077, 15850, 476, 280, 9077, 13201, 577, 747, 476, 280, 18336, 15703, 2090, 538, 25448, 723, 5059, 593, 12570, 519, 9860, 540, 28400, 5562, 6219, 946, 538, 1114, 5095, 540, 1153, 27070, 10708, 543, 4974, 922, 6935, 547, 8739, 20300, 543, 2686, 4162, 8587, 1547, 1809, 4686, 616, 1346, 945, 723, 9619, 519, 2009, 6402, 1063, 713, 16609, 946, 540, 891, 623, 3008, 543, 930, 1808, 2619, 3098, 547, 10708, 971, 607, 4965, 267, 4160, 269, 769, 1931, 547, 1683, 2609, 547, 16185, 713, 3668, 540, 1239, 267, 713, 960, 7710, 519, 1699, 1533, 540, 4616, 540, 519, 1292, 28400, 5562, 6878, 630, 303, 3008, 1070, 630, 339, 984, 8829, 267, 15267, 267, 4568, 264, 1851, 1153, 18244, 267, 741, 954, 30447, 4721, 543, 519, 2009, 6402, 609, 5626, 7092, 540, 14221, 610, 19591, 1826, 563, 763, 1353, 568, 513, 10855, 543, 10763, 1098, 951, 531, 1826, 269, 898, 729, 3710, 538, 519, 8230, 527, 571, 2749, 267, 25448, 267, 8720, 606, 1858, 540, 476, 10602, 5998, 273, 267, 621, 568, 519, 8772, 4853, 2749, 540, 519, 2197, 267, 538, 519, 3345, 4639, 540, 25448, 267, 609, 811, 982, 835, 2929, 11317, 269, 898, 3576, 1747, 538, 5130, 476, 1001, 279, 269, 634, 7014, 2016, 547, 1142, 1641, 15538, 540, 513, 1582, 6709, 3878, 32666, 267, 543, 1079, 5778, 17595, 1670, 4255, 281, 32183, 12870, 28951, 17361, 630, 4696, 11965, 1070, 543, 634, 11233, 17520, 543, 12870, 17361, 630, 295, 4696, 306, 1916, 763, 3732, 5161, 540, 476, 278, 1691, 630, 25396, 8695, 543, 476, 29257, 6690, 264, 5396, 540, 10708, 2551, 689, 1164, 3506, 540, 1114, 9922, 269, 634, 1611, 2085, 729, 476, 1704, 269, 4375, 1296, 630, 16256, 815, 476, 272, 269, 5325, 1070, 2039, 281, 476, 1428, 543, 476, 2641, 1296, 630, 8368, 476, 272, 1040, 5047, 267, 519, 5171, 941, 5697, 1317, 789, 2992, 513, 11347, 3732, 540, 519, 10708, 2551, 779, 1353, 540, 1164, 3506, 538, 8230, 527, 571, 630, 6518, 568, 5697, 14477, 1040, 3776, 3732, 454, 8368, 476, 272, 269, 17392, 540, 5396, 676, 3023, 543, 2085, 563, 323, 22866, 883, 1614, 6810, 281, 2413, 5022, 267, 8097, 9443, 630, 321, 5735, 267, 20569, 267, 6323, 267, 543, 7998, 264, 543, 6310, 9443, 563, 2690, 5683, 9270, 267, 5171, 5483, 540, 519, 26687, 640, 540, 519, 1353, 543, 519, 7872, 540, 30671, 547, 7119, 269, 2755, 519, 1582, 6709, 3878, 32666, 6045, 519, 1719, 540, 519, 1353, 267, 922, 26687, 640, 543, 519, 7872, 540, 30671, 540, 7589, 269, 634, 6876, 540, 519, 21621, 30896, 540, 519, 12080, 540, 2817, 4065, 543, 15642, 1049, 9751, 543, 519, 19971, 540, 519, 24284, 7255, 729, 5833, 563, 763, 18102, 593, 519, 4015, 540, 1239, 593, 5171, 267, 609, 476, 4029, 3688, 267, 6592, 519, 2875, 779, 1124, 1675, 655, 4919, 1344, 543, 519, 2921, 540, 1114, 623, 3008, 630, 339, 984, 8829, 267, 4568, 267, 15267, 1916, 273, 269, 273, 269, 273, 269, 634, 32183, 12870, 28951, 17361, 630, 4696, 11965, 994, 763, 4336, 3800, 519, 19591, 8515, 269, 898, 5497, 4481, 585, 10708, 9907, 476, 1724, 547, 476, 736, 1296, 476, 1547, 901, 9621, 267, 2653, 3562, 14025, 21021, 1907, 5497, 547, 2697, 519, 19591, 1995, 543, 2268, 8515, 540, 4965, 538, 10708, 269, 634, 4835, 14496, 540, 519, 476, 1015, 6221, 4528, 630, 13433, 270, 7224, 264, 540, 519, 5084, 11965, 568, 1164, 630, 285, 271, 269, 279, 264, 543, 519, 5806, 5364, 14496, 568, 849, 1434, 563, 273, 269, 273, 269, 274, 269, 634, 11233, 17520, 543, 12870, 17361, 630, 295, 4696, 306, 994, 313, 10176, 1180, 779, 1582, 6709, 3878, 32666, 267, 543, 590, 3534, 603, 630, 2735, 274, 264, 476, 568, 513, 1449, 602, 2708, 525, 19591, 543, 14221, 10835, 26331, 936, 519, 2250, 3018, 267, 543, 2708, 525, 922, 10335, 282, 676, 15194, 856, 30717, 2589, 602, 1223, 1253, 677, 556, 3887, 1998, 6672, 538, 2550, 2938, 538, 4915, 630, 663, 4749, 2348, 5214, 2042, 1040, 634, 476, 1691, 3688, 616, 5258, 883, 1079, 9408, 2297, 281, 476, 278, 3688, 547, 6218, 4965, 281, 835, 585, 7988, 874, 18319, 267, 835, 585, 23646, 1524, 543, 2947, 585, 519, 606, 1117, 4577, 10155, 282, 543, 476, 278, 3688, 547, 2708, 4160, 689, 519, 10558, 3557, 22410, 476, 543, 519, 11916, 17520, 17361, 476, 1547, 1280, 1142, 6221, 267, 2185, 2626, 12331, 27573, 689, 476, 271, 547, 476, 274, 543, 519, 2362, 519, 8464, 267, 519, 811, 4049, 519, 10835, 26331, 563, 1607, 1353, 3576, 1747, 538, 1164, 3506, 538, 519, 8230, 527, 571, 2749, 540, 25448, 269, 1284, 6394, 519, 1239, 538, 519, 1106, 540, 1895, 1688, 8083, 538, 513, 1153, 4928, 609, 476, 736, 1053, 267, 538, 519, 4527, 540, 519, 31375, 609, 519, 6662, 7778, 540, 519, 1353, 269, 5637, 4255, 941, 12261, 883, 12428, 543, 267, 952, 2556, 267, 930, 2055, 941, 6045, 538, 2241, 2474, 543, 3015, 547, 782, 630, 514, 13172, 531, 12428, 1040, 1677, 2057, 1022, 9186, 267, 513, 1974, 3544, 11400, 267, 6105, 543, 1153, 14812, 729, 6074, 269, 634, 7634, 3459, 593, 5130, 476, 1724, 267, 476, 1001, 279, 543, 16768, 476, 277, 2395, 563, 273, 269, 276, 269, 18926, 5811, 454, 290, 5317, 267, 4393, 543, 8579, 2079, 540, 519, 1239, 941, 2944, 609, 9185, 476, 1001, 274, 3301, 543, 590, 31723, 966, 269, 1704, 3301, 269, 634, 8579, 4255, 1031, 941, 281, 6543, 485, 273, 543, 9906, 779, 512, 23150, 269, 634, 4255, 941, 2808, 1713, 585, 513, 4110, 540, 4644, 968, 335, 892, 1447, 982, 610, 3160, 547, 476, 271, 269, 4962, 563, 274, 269, 272, 269, 2776, 28700, 540, 5369, 334, 5562, 28548, 2422, 454, 19894, 4616, 540, 10269, 568, 476, 1626, 269, 4343, 260, 630, 1691, 269, 7367, 260, 616, 6690, 543, 476, 5952, 269, 5325, 260, 616, 8695, 5148, 15267, 568, 476, 277, 269, 7761, 260, 630, 272, 269, 278, 260, 616, 6690, 543, 476, 4817, 269, 10695, 260, 616, 8695, 5148, 543, 4568, 568, 476, 276, 269, 6434, 260, 630, 273, 269, 6321, 260, 616, 6690, 543, 476, 10844, 269, 10436, 260, 616, 8695, 1040, 634, 6543, 485, 273, 1449, 4847, 721, 547, 5031, 513, 1713, 3017, 1063, 6690, 543, 8695, 3823, 519, 9860, 540, 4616, 540, 519, 1614, 623, 3008, 630, 8368, 476, 273, 1916, 274, 269, 273, 269, 634, 11233, 17520, 543, 12870, 17361, 630, 295, 4696, 306, 994, 5804, 519, 4336, 267, 4160, 543, 4965, 8464, 941, 1336, 547, 581, 2362, 1851, 2875, 6800, 630, 300, 815, 476, 1626, 269, 6872, 13008, 476, 276, 269, 9262, 630, 271, 910, 476, 2764, 4297, 982, 1875, 268, 22852, 630, 300, 815, 476, 1691, 269, 275, 13008, 476, 275, 269, 2568, 630, 271, 910, 476, 2767, 26895, 9906, 779, 512, 1449, 4847, 721, 547, 1397, 513, 1713, 3017, 1063, 1875, 15926, 28366, 543, 6800, 630, 339, 815, 476, 275, 269, 29616, 267, 533, 2999, 476, 271, 269, 1822, 264, 630, 8368, 476, 274, 1916, 274, 269, 273, 269, 272, 269, 17520, 15136, 454, 2304, 343, 1190, 10835, 26331, 568, 811, 1459, 538, 6800, 982, 538, 1875, 15926, 10179, 5396, 630, 339, 815, 476, 279, 269, 5780, 280, 267, 533, 2999, 476, 271, 269, 9826, 1070, 519, 5354, 540, 1875, 15926, 28366, 630, 10037, 269, 2764, 8472, 798, 711, 723, 606, 4160, 4524, 267, 3379, 547, 476, 7918, 269, 278, 260, 540, 10269, 3755, 267, 476, 3583, 269, 10695, 260, 540, 15267, 3755, 543, 476, 7597, 269, 4962, 260, 540, 4568, 3755, 269, 2290, 2389, 5460, 630, 1015, 269, 10695, 8472, 540, 1875, 15926, 28366, 723, 19035, 4160, 4713, 267, 3379, 547, 476, 3066, 269, 6187, 260, 540, 10269, 3755, 543, 476, 736, 269, 10695, 260, 540, 15267, 3755, 543, 476, 2641, 269, 6246, 260, 540, 4568, 3755, 282, 543, 1152, 476, 278, 269, 8660, 260, 540, 1875, 15926, 28366, 609, 4160, 4713, 267, 3379, 547, 476, 1626, 269, 6860, 260, 540, 10269, 3755, 267, 476, 279, 269, 3451, 260, 540, 15267, 3755, 543, 476, 280, 269, 7367, 260, 540, 4568, 3755, 630, 8368, 476, 274, 1916, 8368, 476, 273, 269, 2776, 28700, 540, 28400, 5562, 6219, 3755, 538, 3506, 563, 8368, 476, 274, 269, 2776, 28700, 540, 670, 4696, 306, 630, 2304, 3806, 543, 3493, 4809, 15136, 264, 538, 1312, 5095, 281, 623, 3008, 6800, 543, 1875, 15926, 28366, 563, 274, 269, 273, 269, 273, 269, 3493, 4809, 15136, 454, 763, 2164, 540, 713, 960, 1397, 602, 7082, 5396, 2408, 811, 20158, 982, 1875, 15926, 28366, 630, 339, 815, 476, 277, 269, 278, 8287, 267, 533, 2999, 476, 271, 269, 9826, 2567, 519, 5354, 540, 1875, 15926, 28366, 630, 3199, 269, 4649, 8472, 798, 711, 723, 19591, 4524, 267, 3379, 547, 827, 3368, 630, 5325, 269, 7871, 8472, 540, 10269, 3755, 267, 827, 1079, 22188, 630, 5780, 269, 6858, 8472, 540, 15267, 3755, 543, 476, 5038, 269, 3066, 260, 540, 4568, 3755, 269, 19227, 267, 1175, 936, 835, 2389, 5460, 630, 1724, 269, 2641, 8472, 540, 1875, 15926, 28366, 723, 19035, 19591, 4713, 3379, 547, 1175, 936, 835, 21017, 630, 4097, 269, 866, 8472, 540, 10269, 3755, 543, 827, 835, 1922, 604, 628, 630, 736, 269, 10695, 8472, 540, 15267, 3755, 543, 476, 2641, 269, 6246, 260, 540, 6800, 282, 543, 513, 1507, 8167, 630, 277, 269, 2190, 8472, 540, 1875, 15926, 28366, 723, 8810, 19591, 4713, 267, 3379, 609, 476, 1240, 269, 279, 260, 540, 10269, 3755, 267, 476, 1321, 269, 276, 260, 540, 15267, 3755, 543, 476, 1691, 269, 3066, 260, 540, 4568, 3755, 630, 8368, 476, 274, 1916, 274, 269, 273, 269, 274, 269, 32183, 12870, 28951, 17361, 630, 4696, 11965, 994, 29909, 3368, 540, 14038, 609, 623, 3008, 723, 513, 19591, 12402, 630, 339, 815, 476, 275, 269, 3583, 272, 267, 533, 2999, 476, 271, 269, 9826, 1070, 607, 476, 5379, 269, 1691, 260, 1185, 513, 6060, 1657, 476, 275, 593, 519, 5084, 11965, 4336, 269, 589, 9672, 4965, 630, 4696, 11965, 6060, 21759, 476, 279, 264, 729, 1336, 538, 1152, 476, 279, 269, 2764, 260, 540, 10708, 543, 1152, 476, 7918, 269, 6246, 260, 4843, 1100, 1981, 540, 19591, 4713, 269, 3204, 8973, 1875, 268, 22852, 267, 476, 7830, 269, 4905, 260, 798, 711, 1459, 1022, 1981, 540, 4965, 267, 476, 2420, 269, 11463, 260, 1459, 513, 9793, 1981, 543, 1152, 476, 277, 269, 4962, 260, 1459, 513, 1713, 1981, 547, 4965, 630 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 306, 3019, 518, 610, 2663, 267, 1034, 1164, 30595, 786, 723, 547, 1694, 585, 2901, 519, 20389, 630, 306, 3273, 2880, 589, 696, 3363, 4530, 264, 543, 5924, 20554, 630, 13563, 5441, 13281, 264, 4255, 269, 1452, 4255, 616, 1851, 519, 7355, 12621, 543, 9945, 946, 538, 8939, 17053, 19670, 1053, 282, 789, 666, 849, 4196, 607, 851, 540, 14172, 8366, 2188, 269, 9747, 267, 621, 1531, 334, 7174, 1053, 547, 6060, 607, 1134, 607, 789, 7654, 666, 593, 891, 4255, 563, 763, 2376, 267, 968, 20776, 341, 1516, 519, 4569, 20389, 630, 306, 3273, 2880, 589, 696, 3363, 4530, 1070, 892, 3091, 930, 10372, 585, 7829, 2979, 2055, 593, 519, 1449, 269, 898, 9607, 6836, 543, 3020, 2081, 540, 5355, 8458, 585, 968, 29674, 532, 892, 593, 519, 1449, 282, 2081, 540, 6061, 543, 10992, 4267, 547, 2979, 2042, 282, 543, 5329, 3950, 540, 1346, 21792, 14263, 4191, 269, 3509, 540, 891, 4019, 547, 519, 20554, 2979, 1449, 267, 1932, 563, 4913, 267, 972, 568, 1776, 2460, 540, 519, 4255, 602, 814, 547, 581, 2808, 267, 607, 1134, 563, 5278, 1589, 2055, 616, 4443, 593, 4255, 2016, 593, 1978, 1449, 7389, 269, 594, 10093, 1406, 2938, 713, 676, 17265, 1022, 540, 519, 4255, 269, 898, 1281, 267, 2705, 267, 2709, 1053, 513, 7301, 2631, 540, 3354, 563, 288, 811, 6209, 1935, 267, 2523, 585, 1053, 2921, 519, 20389, 543, 5924, 20554, 2789, 2053, 267, 568, 547, 1931, 856, 2347, 1449, 18176, 269, 1280, 519, 20389, 267, 621, 779, 1572, 519, 968, 9223, 543, 8382, 6796, 892, 630, 528, 968, 19723, 4328, 2659, 590, 13990, 26158, 1280, 29933, 9489, 18121, 1240, 264, 1053, 4309, 513, 5299, 540, 741, 1449, 267, 741, 4267, 543, 2953, 4267, 585, 519, 2347, 1449, 563, 2690, 519, 20554, 1449, 267, 513, 2147, 4781, 568, 1572, 968, 26473, 20535, 630, 302, 6113, 1359, 264, 513, 25767, 540, 2659, 4530, 5999, 543, 12226, 892, 610, 267, 968, 14818, 6176, 24793, 6796, 1848, 901, 3028, 3790, 562, 31106, 9489, 18121, 866, 1916, 16352, 606, 4890, 20389, 1315, 20554, 1449, 593, 1688, 267, 689, 799, 547, 1353, 267, 666, 1683, 1360, 1271, 4030, 883, 519, 2875, 779, 4890, 2773, 269, 898, 3587, 4443, 547, 1294, 519, 1826, 540, 2042, 630, 4118, 264, 610, 2542, 15102, 630, 331, 4833, 264, 602, 5795, 519, 2875, 519, 1034, 7411, 269, 898, 2636, 1053, 547, 8275, 1018, 789, 1223, 723, 2944, 8335, 547, 723, 12943, 811, 2055, 543, 12943, 811, 2055, 7157, 269, 898, 1256, 3413, 3581, 513, 3760, 689, 799, 547, 1865, 1449, 23824, 2994, 563, 2690, 519, 476, 1001, 274, 268, 1001, 275, 1153, 1032, 267, 519, 20389, 1627, 1299, 589, 3028, 568, 2139, 585, 519, 5239, 267, 5130, 543, 2904, 4255, 1152, 269, 1280, 519, 20554, 267, 519, 570, 7644, 6796, 568, 2139, 585, 519, 5412, 267, 4989, 543, 4873, 4255, 1152, 563, 10214, 1498, 621, 568, 2009, 547, 1931, 856, 891, 2027, 2533, 585, 513, 2110, 1974, 1310, 519, 4890, 1449, 4266, 267, 621, 568, 1256, 1732, 547, 8430, 519, 1449, 593, 519, 3617, 4266, 538, 4434, 563, 2026, 2141, 267, 1413, 693, 519, 1357, 6402, 3177, 1657, 543, 5924, 3346, 519, 1449, 2533, 585, 811, 3877, 563, 15100, 476, 1001, 274, 670, 269, 7812, 631, 690, 559, 0, 2467, 568, 513, 2603, 540, 1344, 856, 972, 609, 14621, 609, 29302, 29302, 269, 769, 1249, 594, 1589, 29302, 568, 519, 2048, 514, 892, 2783, 540, 519, 26992, 269, 1879, 3220, 269, 23520, 19528, 29302, 538, 1010, 1982, 596, 917, 602, 29302, 814, 8452, 607, 513, 2783, 269, 10251, 972, 568, 930, 3983, 543, 22801, 1344, 827, 29302, 269, 4077, 26245, 753, 543, 865, 10777, 4966, 616, 3843, 547, 31194, 593, 519, 3765, 325, 1953, 525, 609, 1346, 945, 723, 15672, 29302, 269, 2913, 779, 2263, 930, 540, 519, 5013, 543, 5708, 827, 15672, 29302, 563, 8110, 8327, 531, 29302, 568, 711, 2141, 3361, 676, 3987, 454, 13312, 12185, 29302, 2306, 24657, 2094, 29302, 31903, 676, 4057, 10009, 3006, 2164, 538, 3978, 3723, 543, 1850, 8374, 269, 594, 1616, 547, 7006, 601, 1079, 20887, 827, 15847, 29302, 269, 12128, 1281, 711, 2141, 1291, 547, 29302, 268, 32191, 476, 2004, 260, 15847, 1020, 930, 1106, 540, 3987, 269, 4144, 12185, 29302, 1281, 711, 2141, 2014, 14042, 3723, 8374, 971, 607, 21385, 267, 5563, 610, 993, 1584, 725, 269, 2060, 513, 24534, 1272, 2511, 543, 1434, 3723, 9882, 2173, 739, 786, 581, 2111, 547, 2057, 3978, 8374, 563, 30048, 568, 711, 519, 1152, 2014, 540, 29302, 269, 1703, 616, 2547, 476, 736, 824, 3123, 540, 15672, 29302, 1519, 281, 18068, 267, 8194, 267, 11983, 2175, 267, 9422, 19518, 267, 16991, 2068, 267, 29015, 267, 8801, 5114, 547, 6527, 543, 15110, 2564, 2175, 563, 8110, 8327, 531, 29302, 568, 711, 524, 9092, 454, 32507, 15797, 568, 1813, 547, 3441, 547, 519, 8229, 269, 898, 6140, 5540, 519, 3952, 543, 19462, 4929, 1928, 267, 8781, 267, 32688, 267, 20382, 543, 19271, 17915, 543, 513, 3389, 1465, 14815, 538, 519, 3952, 269, 715, 12883, 798, 711, 16956, 4733, 1134, 7308, 344, 3668, 519, 2702, 547, 7816, 2933, 269, 1924, 9247, 519, 1935, 538, 8156, 29302, 568, 547, 2119, 547, 14867, 519, 2589, 543, 3801, 547, 3500, 1524, 519, 11144, 540, 519, 2783, 563, 2467, 568, 1100, 835, 27803, 10826, 585, 29302, 454, 5278, 1616, 596, 547, 3494, 602, 789, 723, 513, 9589, 27803, 10826, 269, 4256, 6811, 616, 7301, 543, 536, 690, 639, 269, 6164, 532, 29302, 3322, 513, 21318, 540, 11257, 543, 610, 6646, 269, 634, 1614, 6527, 1034, 4122, 11311, 585, 29302, 616, 3026, 584, 2632, 514, 267, 10370, 878, 320, 610, 595, 2096, 4472, 3279, 269, 3026, 584, 2632, 514, 543, 10370, 878, 320, 616, 1884, 6625, 341, 6160, 1218, 7308, 344, 960, 676, 17527, 1928, 6786, 269, 1452, 6527, 616, 2500, 1152, 827, 476, 2004, 260, 543, 789, 723, 1082, 2427, 2360, 269, 5440, 673, 2564, 338, 971, 607, 3026, 3120, 2102, 543, 715, 2925, 2657, 28057, 31201, 267, 17303, 2569, 5778, 12949, 545, 1928, 269, 4033, 5574, 1331, 8955, 1769, 3797, 267, 5409, 8663, 545, 5135, 269, 16200, 518, 6527, 971, 607, 4550, 13611, 543, 7873, 821, 16755, 616, 1031, 585, 6793, 2589, 269, 16332, 15644, 6081, 3797, 267, 11983, 8102, 2209, 543, 10641, 710, 15450, 616, 1031, 585, 4359, 5778, 12949, 545, 1928, 269, 715, 26798, 9360, 666, 581, 5363, 267, 2523, 609, 1346, 609, 6171, 543, 9422, 19518, 563, 19865, 666, 581, 1360, 6225, 454, 6624, 1004, 609, 15672, 29302, 1995, 3666, 2042, 269, 901, 568, 1813, 547, 513, 3668, 540, 4743, 538, 519, 3952, 269, 11644, 666, 581, 5363, 538, 2333, 10009, 547, 519, 17119, 885, 269, 898, 568, 849, 5363, 676, 14304, 519, 6091, 3743, 585, 6972, 1547, 0, 30943, 1977, 4065, 5358, 454, 763, 5692, 540, 519, 7111, 1977, 4065, 5358, 630, 2793, 7968, 264, 568, 547, 4217, 938, 7111, 1977, 1053, 538, 8011, 532, 609, 741, 3872, 1184, 543, 547, 8190, 543, 679, 13097, 1620, 540, 7111, 1977, 4529, 1369, 519, 8549, 10158, 2146, 563, 20062, 2969, 590, 27263, 2975, 2464, 25758, 11550, 4668, 3633, 888, 268, 3629, 4081, 6351, 267, 1443, 2358, 267, 14223, 543, 4199, 29748, 585, 7111, 1977, 1053, 543, 3885, 563, 268, 20644, 2686, 4656, 3255, 543, 824, 2200, 547, 1053, 267, 3610, 543, 3885, 563, 268, 25397, 7111, 1977, 1053, 262, 4081, 9740, 563, 268, 634, 1982, 5234, 616, 538, 2834, 3346, 609, 7111, 1053, 543, 723, 513, 18756, 2078, 609, 3610, 543, 3237, 563, 268, 1677, 2087, 519, 4081, 1967, 540, 7111, 1053, 267, 9344, 918, 268, 1321, 563, 268, 21561, 519, 1702, 543, 4656, 540, 2686, 2418, 267, 5389, 543, 4207, 2152, 4143, 547, 7111, 1053, 563, 268, 21561, 15366, 7589, 538, 1982, 543, 1153, 2238, 563, 268, 11559, 543, 1489, 2022, 29364, 776, 2069, 585, 782, 1053, 563, 268, 3465, 2925, 543, 679, 13097, 1620, 540, 519, 7111, 1977, 2528, 609, 519, 8549, 10158, 2146, 563, 5085, 5456, 29368, 6579, 14510, 30316, 2839, 5085, 2562, 2464, 281, 674, 4456, 6579, 22494, 595, 6369, 8379, 5058, 19364, 20937, 7537, 2207, 2975, 3198, 661, 8025, 301, 2975, 14510, 26260, 2207, 3951, 17803, 11123, 5990, 7644, 8863, 6579, 291, 6730, 681, 9680, 8780, 21068, 23166, 674, 3633, 2207, 3201, 654, 17751, 29706, 13993, 2975, 590, 29558, 5357, 306, 5442, 14888, 3198, 11581, 24102, 11550, 16165, 4456, 631, 19851, 5084, 295, 16730, 9215, 674, 5357, 299, 8582, 5058, 667, 9128, 2562, 296, 3582, 6730, 20700, 5456, 29368, 6579, 14510, 30316, 2839, 5085, 2562, 2464, 9215, 23414, 292, 25893, 24639, 13048, 4041, 16774, 3201, 590, 27263, 2975, 2464, 6730, 270, 3036, 590, 16810, 12195, 22494, 912, 1892, 4132, 1590, 581, 4867, 19801, 538, 8549, 10158, 5398, 12140, 454, 1892, 9977, 270, 10817, 731, 1014, 1590, 2347, 513, 7170, 23446, 4432, 580, 2225, 27872, 4813, 849, 1634, 607, 513, 476, 2004, 277, 1106, 547, 581, 6854, 593, 3758, 609, 519, 7111, 4065, 8433, 563, 1892, 769, 1931, 585, 519, 2385, 270, 31384, 1014, 547, 7662, 22812, 576, 633, 2533, 519, 3334, 540, 25046, 1590, 581, 1558, 543, 616, 607, 5205, 281, 634, 2875, 267, 513, 2385, 267, 610, 6264, 8001, 1590, 912, 1892, 18771, 2743, 519, 4214, 540, 4095, 799, 1797, 1022, 1367, 945, 568, 912, 263, 273, 264, 513, 13956, 550, 538, 519, 1101, 610, 2034, 4110, 263, 8001, 610, 6264, 8001, 264, 607, 4330, 538, 630, 272, 5148, 610, 454, 263, 274, 264, 2808, 676, 519, 14199, 540, 519, 25181, 547, 581, 606, 4095, 585, 1022, 3483, 282, 610, 454, 263, 275, 264, 606, 10507, 330, 24982, 610, 22176, 583, 610, 824, 14522, 7111, 282, 610, 454, 263, 276, 264, 513, 4759, 540, 606, 6896, 4095, 1895, 602, 4607, 513, 6264, 896, 519, 4095, 4065, 2920, 540, 476, 2735, 279, 607, 568, 729, 538, 1198, 5239, 476, 866, 267, 476, 1960, 275, 563, 1892, 4132, 267, 513, 2385, 267, 610, 513, 6264, 8001, 1590, 2743, 519, 4214, 540, 4095, 269, 2677, 25728, 550, 538, 519, 1101, 267, 2034, 267, 610, 3791, 4110, 454, 1892, 14522, 7111, 282, 10507, 330, 24982, 610, 22176, 583, 610, 824, 14522, 7111, 15278, 610, 22810, 454, 1892, 476, 2004, 277, 4813, 593, 3758, 609, 4095, 4065, 8433, 9896, 676, 2385, 270, 31384, 1014, 454, 2004, 277, 4813, 12834, 912, 1892, 9906, 8745, 454, 1892, 3427, 8745, 454, 1892, 8745, 540, 570, 11171, 267, 17020, 610, 6828, 454, 1892, 8549, 267, 3557, 267, 12910, 3990, 267, 5029, 1242, 21073, 454, 1892, 8745, 540, 1126, 267, 2385, 267, 610, 6264, 8001, 609, 17174, 30901, 454, 1892, 2037, 2651, 618, 1948, 952, 2139, 454, 1892, 8745, 543, 2232, 540, 17174, 3919, 268, 2171, 666, 4217, 538, 7111, 3798, 8433, 454, 1892, 9977, 6178, 1155, 454, 1892, 5851, 544, 9430, 2232, 454, 2004, 277, 4432, 580, 2225, 4813, 912, 1892, 901, 1106, 568, 2838, 547, 581, 6192, 835, 942, 543, 786, 581, 6854, 593, 3758, 538, 519, 7111, 4065, 8433, 269, 0, 20776, 9418, 1143, 543, 519, 14134, 454, 279, 5239, 476, 1001, 274, 547, 476, 1321, 5130, 476, 1001, 275, 454, 283, 1410, 577, 4474, 575, 30769, 285, 476, 278, 281, 634, 681, 20263, 540, 519, 3047, 269, 476, 1704, 628, 2540, 10656, 543, 476, 866, 628, 1417, 1722, 1977, 23721, 27006, 454, 6124, 18224, 540, 519, 26888, 454, 5804, 476, 2190, 5181, 476, 1001, 274, 547, 476, 277, 5130, 476, 1001, 275, 454, 5804, 476, 6860, 5437, 476, 1001, 275, 547, 476, 4905, 5988, 476, 1001, 276, 454, 16729, 519, 14266, 540, 3943, 6764, 1833, 1143, 22555, 676, 519, 1148, 31066, 6754, 667, 3120, 526, 7304, 3241, 538, 1715, 3840, 538, 476, 6642, 277, 267, 1977, 5159, 3459, 547, 11766, 519, 1007, 11453, 560, 6593, 267, 13085, 15437, 543, 7904, 7566, 2360, 8984, 540, 519, 3943, 3350, 267, 543, 1082, 540, 891, 5159, 4956, 979, 547, 8303, 538, 1931, 547, 1831, 31235, 609, 621, 693, 1101, 1688, 269, 5029, 2213, 676, 519, 4053, 19902, 964, 6764, 1833, 333, 1143, 525, 717, 1853, 5500, 543, 519, 6833, 571, 7690, 585, 1977, 3203, 267, 538, 5698, 609, 519, 2817, 11829, 7685, 540, 10430, 543, 519, 631, 2224, 334, 774, 903, 11420, 5174, 1941, 28087, 5633, 267, 713, 14266, 786, 581, 519, 1101, 538, 8050, 547, 1445, 593, 519, 3262, 540, 6764, 1833, 1143, 538, 519, 7330, 269, 4706, 1225, 1807, 267, 918, 15811, 25816, 7666, 793, 517, 267, 1225, 1807, 540, 519, 6833, 571, 7690, 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 ]
[ 267, 855, 621, 568, 711, 827, 267, 610, 538, 1022, 1259, 16876, 547, 267, 519, 17033, 23610, 3693, 269, 11470, 568, 606, 16494, 6041, 540, 1919, 267, 1004, 267, 3347, 543, 6381, 21176, 1138, 6819, 741, 4890, 13413, 610, 17543, 22285, 532, 741, 5691, 24909, 543, 12746, 1132, 607, 2472, 540, 835, 781, 7499, 9345, 563, 3412, 698, 514, 894, 946, 610, 5137, 540, 16494, 13413, 267, 24909, 543, 12746, 1132, 568, 711, 519, 1152, 25499, 4183, 610, 25246, 540, 5708, 269, 1323, 8449, 1271, 12146, 568, 519, 1893, 799, 538, 930, 3029, 540, 5708, 786, 10880, 835, 607, 1932, 2241, 267, 10750, 543, 796, 19960, 514, 894, 630, 22396, 12727, 968, 331, 4833, 609, 1100, 22693, 892, 1315, 18832, 14979, 654, 2795, 538, 454, 1432, 568, 1870, 5708, 888, 763, 7623, 2165, 1870, 5708, 568, 9425, 12001, 543, 814, 8507, 689, 513, 4999, 540, 519, 1079, 1164, 23151, 2474, 1870, 543, 5708, 630, 2421, 21658, 609, 6760, 5708, 267, 2257, 5708, 267, 3092, 12175, 1403, 543, 950, 3989, 13713, 267, 1870, 5708, 1797, 968, 321, 5350, 2835, 2854, 607, 5708, 892, 630, 301, 1794, 541, 13960, 267, 476, 1220, 280, 267, 533, 269, 476, 15389, 1040, 1548, 568, 5921, 568, 519, 2186, 540, 5708, 602, 9072, 519, 1158, 540, 1870, 543, 568, 2854, 676, 1202, 11107, 1107, 1004, 609, 3573, 4656, 267, 1702, 543, 2324, 1995, 538, 519, 3875, 543, 5051, 3309, 1870, 5468, 267, 2066, 6080, 267, 2066, 3084, 4529, 267, 543, 267, 693, 2053, 267, 2066, 9746, 4529, 269, 18780, 543, 10643, 17297, 4733, 538, 519, 2361, 19788, 13473, 3988, 267, 30070, 10770, 5339, 13915, 543, 8716, 25981, 6037, 2209, 563, 5415, 1344, 827, 519, 6267, 454, 4131, 803, 1631, 2490, 547, 519, 2055, 602, 616, 693, 519, 4295, 540, 519, 1382, 5645, 856, 693, 519, 4972, 540, 2296, 23008, 2524, 693, 519, 700, 14137, 657, 990, 18293, 3557, 2160, 269, 1703, 616, 1896, 2055, 538, 1249, 855, 789, 616, 782, 3358, 547, 519, 2115, 540, 519, 2186, 540, 6267, 594, 723, 538, 2247, 281, 513, 264, 519, 1893, 6267, 538, 1250, 2013, 616, 5065, 10529, 540, 6739, 630, 663, 267, 607, 513, 1267, 267, 2296, 568, 519, 4914, 1893, 789, 616, 1310, 267, 543, 811, 1419, 982, 711, 789, 786, 723, 6594, 621, 585, 606, 3328, 540, 476, 279, 268, 1015, 266, 1296, 1354, 789, 2743, 803, 543, 1491, 593, 6355, 2296, 607, 513, 1007, 1641, 1369, 519, 6280, 6437, 5148, 536, 264, 789, 616, 3318, 8059, 1235, 543, 267, 676, 10137, 267, 15599, 5505, 267, 1775, 4318, 269, 789, 616, 24015, 7255, 609, 1893, 267, 4633, 267, 2792, 267, 2528, 267, 17685, 8590, 2792, 267, 3332, 2090, 267, 682, 13877, 2762, 267, 2165, 514, 1670, 2090, 543, 2165, 514, 2762, 282, 524, 264, 538, 2489, 267, 741, 1702, 540, 519, 1158, 540, 1870, 568, 2864, 3908, 609, 513, 5934, 610, 18374, 1100, 1483, 8996, 4598, 547, 519, 1272, 543, 2238, 540, 1870, 3906, 538, 519, 6739, 18966, 543, 3544, 519, 2197, 282, 546, 264, 930, 540, 873, 1131, 899, 547, 4019, 585, 6009, 543, 23248, 1265, 513, 2816, 538, 519, 1158, 540, 1870, 1317, 789, 7930, 3605, 585, 2933, 1107, 998, 741, 6355, 2296, 2090, 1107, 1945, 13267, 543, 1256, 10578, 538, 519, 5169, 267, 2208, 543, 1646, 540, 1114, 2010, 540, 1870, 282, 552, 264, 593, 4271, 908, 689, 519, 700, 14137, 657, 990, 18293, 3557, 2160, 267, 930, 540, 519, 1053, 616, 4712, 267, 8348, 543, 2111, 547, 1305, 909, 543, 2196, 4213, 540, 741, 1378, 267, 543, 538, 1813, 1576, 1831, 851, 543, 1612, 4897, 540, 519, 6422, 5010, 1604, 1312, 1369, 543, 3544, 519, 2197, 563, 763, 2055, 547, 581, 21503, 454, 7617, 540, 519, 4540, 5439, 540, 1870, 5708, 568, 519, 4116, 540, 6355, 2296, 547, 2824, 543, 13918, 1369, 519, 21038, 286, 1215, 568, 713, 22098, 547, 581, 1198, 539, 286, 1548, 616, 519, 27696, 3741, 547, 979, 676, 286, 1548, 616, 519, 2553, 547, 581, 1031, 538, 1362, 543, 3544, 519, 4928, 286, 1215, 1419, 666, 835, 18992, 547, 1870, 5708, 2016, 519, 3044, 960, 4452, 630, 1721, 1383, 267, 594, 4001, 1614, 2516, 540, 476, 275, 628, 4458, 1053, 2899, 513, 3018, 585, 476, 3445, 3764, 267, 543, 594, 723, 606, 3328, 540, 476, 1240, 4374, 32372, 3607, 3108, 264, 538, 519, 1101, 2165, 1107, 689, 5181, 547, 5412, 7132, 1776, 476, 1015, 4374, 32372, 736, 3108, 264, 538, 519, 2034, 2165, 1107, 689, 5988, 547, 519, 4098, 540, 4989, 21663, 1772, 972, 1022, 4055, 585, 1582, 24713, 344, 1310, 519, 1576, 568, 936, 286, 1548, 616, 519, 4483, 762, 1983, 11251, 538, 519, 1576, 286, 5620, 594, 7307, 547, 2285, 1250, 1053, 1945, 540, 9434, 1871, 888, 303, 17123, 540, 519, 5530, 454, 763, 3483, 540, 519, 1353, 568, 1079, 19507, 281, 547, 2253, 609, 267, 519, 1353, 7231, 609, 513, 1880, 1826, 540, 6267, 538, 2247, 1058, 1267, 538, 513, 20310, 1900, 8386, 9912, 12191, 799, 1223, 581, 11368, 538, 2407, 610, 14661, 607, 2877, 538, 3875, 824, 811, 11285, 610, 1447, 7463, 8658, 282, 519, 1353, 538, 2243, 1058, 849, 7291, 513, 1305, 540, 2553, 547, 581, 7152, 1210, 8076, 1570, 543, 8810, 547, 581, 540, 10083, 1312, 538, 1362, 543, 3544, 519, 4928, 267, 1312, 1369, 519, 6437, 630, 663, 519, 21038, 264, 543, 1310, 519, 1893, 15226, 20021, 543, 9284, 525, 5128, 1315, 9887, 538, 519, 1158, 540, 960, 543, 5170, 547, 1332, 543, 1020, 24015, 538, 519, 9036, 563, 763, 2409, 6964, 538, 519, 1353, 17298, 585, 519, 5301, 540, 519, 1459, 2376, 616, 3875, 543, 267, 1034, 11932, 267, 10562, 538, 971, 513, 1259, 607, 547, 2272, 585, 519, 5817, 1935, 269, 634, 5817, 1935, 568, 513, 11100, 540, 519, 5042, 543, 519, 15599, 1670, 4485, 267, 1775, 4318, 269, 6322, 693, 3246, 782, 519, 1454, 32571, 24598, 25751, 585, 519, 2949, 6662, 547, 581, 6603, 267, 543, 519, 2949, 6662, 568, 547, 1118, 2386, 602, 519, 1893, 6267, 262, 1620, 540, 519, 1158, 540, 1870, 10607, 543, 741, 3180, 936, 519, 1893, 1031, 585, 1870, 5301, 568, 5051, 6109, 543, 1134, 268, 3033, 539, 689, 1312, 519, 7811, 543, 519, 4052, 2798, 540, 2070, 269, 3689, 2501, 519, 1505, 540, 5042, 20592, 630, 301, 1794, 541, 13960, 267, 476, 1001, 279, 267, 476, 1708, 271, 264, 1107, 519, 1966, 540, 1620, 568, 17251, 607, 1053, 616, 6026, 547, 13498, 543, 1118, 741, 1378, 782, 519, 1883, 2035, 543, 4295, 1870, 2474, 799, 616, 7471, 538, 741, 21038, 543, 9715, 676, 519, 1893, 6267, 593, 606, 5571, 4493, 269, 634, 2034, 1505, 568, 1634, 607, 519, 8059, 739, 2643, 2065, 1505, 1107, 15599, 10999, 16490, 1053, 540, 6355, 2296, 616, 4397, 547, 581, 1434, 693, 7231, 609, 519, 1893, 540, 3332, 267, 789, 1058, 581, 2111, 547, 20272, 8059, 739, 2643, 12264, 519, 4890, 9403, 540, 519, 960, 540, 3332, 789, 616, 2542, 630, 1492, 10096, 540, 1913, 543, 1950, 2262, 25668, 2526, 757, 267, 519, 3096, 789, 616, 2322, 547, 676, 519, 5339, 2278, 543, 519, 25664, 725, 9715, 998, 30031, 32215, 532, 607, 4633, 3587, 811, 2976, 894, 267, 811, 3929, 543, 811, 22192, 1040, 634, 3791, 1505, 547, 581, 4294, 568, 519, 8059, 641, 334, 2045, 1505, 799, 7512, 519, 15226, 547, 1265, 543, 1397, 519, 3095, 1063, 519, 5339, 1257, 543, 922, 8059, 641, 334, 13443, 1713, 2609, 630, 5228, 519, 10545, 1770, 267, 552, 3052, 269, 519, 2262, 267, 547, 519, 13074, 543, 811, 5704, 2299, 11295, 3283, 1107, 519, 4845, 267, 519, 19039, 766, 267, 519, 24101, 1429, 6652, 531, 9322, 610, 5036, 540, 24101, 1429, 541, 29569, 796, 885, 1070, 593, 519, 835, 1688, 267, 543, 519, 9837, 540, 519, 2278, 267, 543, 1010, 3801, 693, 6721, 513, 1978, 2179, 540, 12716, 1764, 593, 519, 5467, 267, 593, 519, 824, 1688, 269, 634, 8772, 1505, 568, 519, 1505, 540, 32756, 799, 568, 10169, 2147, 547, 630, 663, 6772, 2355, 609, 264, 519, 6198, 32756, 5018, 4505, 609, 2543, 547, 6355, 2296, 6863, 282, 621, 2636, 547, 20586, 519, 1585, 6106, 540, 1893, 946, 538, 513, 2016, 3732, 540, 5708, 543, 547, 13918, 873, 1369, 519, 21038, 543, 3992, 1544, 11840, 730, 585, 519, 2016, 1826, 540, 1893, 6267, 269, 11153, 824, 2409, 616, 811, 2757, 267, 855, 835, 666, 2760, 7639, 538, 2296, 1893, 3450, 630, 5085, 307, 264, 693, 1804, 1510, 873, 1107, 519, 682, 13877, 4919, 1505, 267, 519, 11050, 1505, 267, 543, 519, 6144, 320, 2861, 1505, 563, 1805, 1137, 476, 272, 543, 476, 273, 2143, 454, 4002, 2348, 5249, 856, 513, 1900, 8386, 9912, 12191, 543, 513, 1305, 540, 2553, 547, 979, 609, 621, 267, 594, 1131, 899, 547, 2671, 519, 4681, 609, 513, 1880, 8561, 593, 519, 3741, 11840, 730, 543, 4294, 693, 1114, 5933, 538, 519, 1382, 1788, 5645, 856, 693, 519, 700, 14137, 657, 990, 18293, 3557, 2160, 269, 634, 1360, 1101, 3942, 15538, 538, 8939, 513, 1434, 3732, 540, 1870, 5708, 1107, 513, 2110, 1650, 1572, 968, 763, 24664, 540, 918, 758, 3120, 5608, 30363, 676, 27722, 1744, 974, 344, 978, 691, 543, 3370, 538, 634, 21832, 962, 3036, 298, 2207, 18225, 630, 18907, 267, 476, 1001, 279, 1040, 898, 568, 1934, 602, 8059, 1235, 543, 15599, 5505, 666, 4019, 519, 2039, 540, 7355, 1128, 2683, 538, 873, 676, 519, 3318, 2146, 540, 2259, 602, 814, 13473, 873, 281, 519, 2278, 543, 1010, 24970, 1027, 757, 267, 519, 4729, 267, 519, 6249, 267, 519, 4259, 267, 519, 3197, 267, 3092, 269, 1205, 607, 1454, 3007, 607, 2009, 543, 5000, 519, 1893, 6267, 547, 2932, 513, 3406, 585, 1101, 268, 3433, 2010, 540, 8076, 1344, 538, 2757, 2959, 630, 9248, 543, 519, 1964, 540, 519, 1820, 2923, 264, 543, 3875, 2228, 21594, 543, 22605, 267, 1357, 1606, 2572, 543, 21075, 269, 634, 1985, 3942, 568, 519, 4890, 2542, 540, 519, 2110, 1650, 538, 2243, 547, 581, 1198, 539, 676, 1053, 10446, 1354, 741, 1101, 6101, 14374, 15748, 676, 519, 4116, 538, 1362, 563, 25111, 476, 274, 2143, 454, 763, 3791, 3942, 568, 5189, 267, 6045, 543, 24892, 676, 519, 4116, 945, 14405, 519, 3007, 540, 519, 6267, 547, 519, 1292, 3197, 607, 13883, 8069, 1107, 1004, 2324, 538, 519, 1158, 540, 1870, 267, 538, 1880, 3318, 2127, 543, 1880, 3318, 3252, 269, 3371, 267, 519, 1893, 6267, 616, 9415, 547, 1265, 538, 519, 8076, 1257, 896, 2079, 519, 1896, 22204, 540, 1870, 6863, 602, 2097, 538, 3730, 585, 519, 1134, 268, 23457, 267, 9859, 543, 6417, 1184, 540, 17133, 281, 789, 20586, 519, 4295, 1870, 2474, 1031, 676, 519, 2278, 547, 2198, 622, 519, 1079, 3197, 1369, 519, 1158, 540, 1870, 282, 789, 849, 20586, 519, 2872, 10391, 2474, 5697, 676, 519, 2278, 547, 2198, 622, 519, 1079, 3197, 1369, 513, 1880, 2872, 269, 634, 2553, 5018, 1657, 616, 6964, 18928, 607, 1169, 1870, 2165, 568, 3989, 267, 12261, 883, 6739, 267, 3989, 538, 6739, 267, 13859, 609, 2458, 23148, 543, 8658, 267, 2165, 514, 1670, 19655, 543, 2165, 514, 1670, 1884, 11618, 269, 1452, 2553, 630, 663, 6405, 4928, 2238, 264, 1128, 650, 519, 4295, 1870, 2474, 29742, 539, 689, 519, 8076, 1257, 538, 519, 1053, 262, 2790, 20750, 6625, 563, 6635, 4226, 9009, 1931, 5288, 2271, 337, 13917, 4763, 454, 5804, 519, 27696, 1448, 540, 2070, 621, 1058, 581, 15091, 676, 519, 4116, 602, 519, 3908, 2039, 543, 519, 11953, 5934, 540, 4295, 1870, 2474, 5697, 676, 519, 5339, 2278, 24151, 1018, 568, 1634, 607, 17062, 1931, 269, 11310, 540, 6355, 2296, 267, 2705, 267, 3340, 519, 1360, 6587, 1107, 513, 6109, 3180, 936, 17271, 4763, 267, 1775, 4318, 269, 1082, 811, 4295, 1870, 2474, 6896, 1062, 1227, 630, 324, 3052, 269, 12593, 9938, 3065, 5288, 1114, 807, 1808, 320, 264, 543, 873, 5597, 630, 324, 3052, 269, 519, 4295, 1870, 2474, 538, 513, 2647, 2039, 540, 1870, 5829, 4798, 899, 2754, 3889, 267, 2010, 540, 1870, 267, 1004, 538, 1870, 267, 19684, 267, 4259, 909, 543, 3395, 513, 1870, 267, 519, 1272, 4783, 540, 513, 1870, 267, 12388, 619, 543, 4203, 29792, 267, 2469, 1857, 267, 14051, 267, 3119, 270, 16149, 776, 270, 614, 339, 10706, 6080, 267, 3092, 12175, 898, 1797, 267, 1287, 267, 602, 519, 3350, 15748, 676, 519, 4116, 538, 1362, 543, 6045, 547, 519, 1893, 6267, 689, 519, 856, 3553, 568, 547, 581, 8209, 6353, 676, 4287 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2171, 946, 513, 26648, 2179, 540, 1648, 538, 519, 7262, 1158, 267, 799, 2501, 689, 8781, 1875, 3146, 2908, 762, 10173, 269, 24997, 1648, 6589, 585, 1152, 513, 6712, 540, 2504, 693, 1459, 267, 543, 6046, 814, 2042, 2404, 609, 922, 1378, 269, 6744, 856, 519, 7454, 9623, 827, 966, 5979, 13996, 342, 9879, 563, 5978, 1648, 2623, 568, 5667, 20980, 267, 855, 519, 2352, 4305, 568, 547, 2061, 8628, 2042, 585, 519, 4541, 1354, 519, 1439, 540, 519, 4199, 269, 1280, 1383, 267, 713, 568, 12691, 547, 581, 6603, 609, 513, 2582, 267, 9645, 8207, 1107, 513, 1900, 1689, 538, 2973, 1379, 2504, 563, 21156, 267, 5201, 4616, 786, 581, 8519, 676, 3274, 1082, 1507, 2242, 267, 930, 6639, 267, 930, 547, 938, 1259, 540, 1272, 269, 7201, 28776, 8022, 568, 835, 1259, 547, 2569, 1648, 12014, 543, 949, 2141, 581, 835, 540, 519, 2242, 649, 991, 547, 1118, 563, 21328, 6165, 538, 4789, 568, 10199, 14961, 5258, 883, 1614, 2081, 281, 3560, 267, 5823, 543, 6469, 269, 7201, 28776, 1753, 8022, 568, 513, 2029, 4502, 6236, 547, 519, 8545, 1079, 540, 891, 267, 6236, 602, 2090, 723, 3254, 602, 621, 4422, 2059, 609, 1648, 22766, 2640, 540, 1063, 476, 1428, 1107, 476, 1789, 2600, 563, 1103, 519, 1655, 2680, 9183, 267, 713, 1223, 1611, 835, 21017, 540, 707, 8022, 12014, 267, 799, 786, 2272, 585, 811, 982, 3368, 540, 782, 1920, 1648, 946, 1107, 1945, 1100, 1753, 610, 1507, 1870, 8227, 1131, 11716, 269, 634, 896, 28776, 8022, 1062, 2501, 538, 1114, 3029, 4998, 585, 1585, 3156, 267, 543, 621, 779, 4502, 32296, 513, 11285, 6109, 585, 811, 1344, 827, 1018, 1522, 581, 1318, 585, 596, 563, 763, 4890, 1648, 22766, 5383, 540, 519, 896, 28776, 8022, 1062, 17589, 689, 922, 31931, 936, 2757, 10237, 1807, 2553, 269, 1452, 6802, 1164, 27529, 6704, 1216, 1472, 519, 2679, 538, 21818, 267, 16089, 621, 693, 3177, 6753, 1472, 519, 11623, 563, 307, 17687, 568, 1419, 4503, 2059, 519, 1259, 1317, 540, 20541, 18848, 3101, 267, 543, 950, 621, 568, 5950, 267, 596, 1205, 606, 19514, 8022, 1062, 19037, 269, 12182, 9634, 1419, 4755, 1985, 547, 519, 10237, 2209, 267, 543, 2011, 10009, 3884, 1406, 2356, 5140, 563, 10303, 3905, 2011, 4422, 909, 267, 519, 5377, 540, 519, 4055, 3884, 1406, 1360, 2141, 3905, 269, 13966, 609, 896, 28776, 8022, 267, 676, 4334, 267, 596, 4309, 15911, 3952, 543, 28306, 1512, 9843, 1107, 1454, 811, 6899, 269, 898, 568, 849, 811, 3608, 1317, 596, 666, 3335, 1305, 519, 27687, 520, 513, 7008, 540, 5232, 6175, 543, 1869, 581, 607, 18241, 563, 15152, 28776, 8022, 1949, 5473, 1216, 630, 16341, 946, 3167, 2609, 264, 798, 865, 693, 513, 811, 10097, 2837, 982, 10237, 1807, 2553, 269, 901, 568, 1776, 2601, 585, 7145, 281, 519, 2837, 21933, 18709, 1107, 519, 3017, 1063, 519, 2837, 540, 519, 1216, 543, 519, 19355, 2837, 2443, 568, 1454, 2539, 563, 17798, 972, 568, 17216, 1447, 3002, 2530, 2509, 519, 3544, 1158, 269, 9578, 267, 896, 28776, 8022, 14311, 2733, 2373, 519, 3002, 593, 519, 1216, 2066, 519, 4055, 2864, 982, 693, 2798, 1472, 519, 2856, 269, 4475, 3002, 2530, 568, 1454, 1447, 540, 606, 3390, 782, 1472, 563, 288, 2582, 3803, 2825, 5413, 568, 2356, 1524, 547, 519, 2539, 2837, 593, 519, 1216, 1031, 538, 896, 28776, 1753, 8022, 1949, 269, 5221, 519, 1216, 568, 12699, 547, 5310, 476, 2568, 5232, 2578, 580, 8565, 630, 528, 1447, 1070, 2864, 982, 476, 3583, 610, 476, 5952, 267, 621, 1797, 596, 666, 946, 3002, 15920, 610, 3859, 28909, 563, 8448, 3772, 267, 513, 2413, 7873, 14819, 15245, 602, 568, 2484, 811, 3608, 982, 824, 2472, 666, 581, 1031, 269, 7201, 28776, 8022, 1522, 581, 8704, 538, 14966, 609, 891, 2067, 4066, 267, 3056, 547, 2417, 9388, 538, 3327, 5434, 543, 3833, 1419, 3606, 2883, 9806, 563, 5472, 538, 782, 267, 519, 1883, 2640, 540, 896, 28776, 8022, 616, 3875, 269, 12729, 10838, 891, 568, 5201, 6165, 267, 799, 849, 5012, 547, 5279, 543, 2825, 9806, 269, 2368, 2090, 723, 3254, 2883, 9806, 540, 11278, 273, 829, 14328, 11281, 829, 1032, 1107, 513, 3364, 602, 666, 1039, 909, 547, 513, 1713, 2040, 585, 513, 1804, 3959, 563, 15152, 28776, 8022, 3884, 1406, 5078, 585, 1169, 2679, 267, 543, 596, 786, 991, 547, 2911, 547, 513, 11285, 28079, 585, 10372, 269, 1717, 267, 713, 6639, 5647, 3091, 4389, 1648, 946, 543, 568, 835, 540, 519, 14319, 602, 666, 581, 4294, 547, 938, 5667, 20980, 8213, 547, 8093, 4492, 6981, 269, 0, 3963, 993, 594, 10393, 2348, 1630, 2812, 888, 7197, 1630, 2812, 616, 519, 1267, 540, 519, 4551, 853, 20942, 19905, 28857, 269, 4033, 2009, 3123, 1331, 3824, 3497, 24827, 543, 24571, 3022, 17570, 15374, 269, 11485, 2188, 602, 949, 2333, 707, 8458, 540, 3384, 1630, 2812, 1331, 281, 16789, 9882, 563, 6701, 1630, 2812, 3361, 676, 1373, 18660, 888, 22517, 2812, 616, 3361, 676, 4551, 267, 1034, 4122, 676, 853, 20942, 19905, 28857, 4551, 630, 320, 588, 7469, 3968, 1040, 589, 2603, 540, 1004, 723, 891, 4551, 593, 741, 2960, 610, 1107, 585, 3236, 1107, 538, 519, 16298, 540, 741, 19911, 337, 2812, 267, 1510, 873, 4929, 1022, 2042, 563, 1432, 2068, 3123, 18596, 1630, 2812, 888, 295, 573, 2784, 523, 4345, 1139, 584, 520, 10216, 267, 849, 1634, 607, 18383, 538, 951, 320, 267, 568, 513, 5312, 2960, 2068, 6353, 676, 20443, 14974, 6438, 561, 7927, 630, 333, 617, 2737, 264, 896, 519, 2960, 269, 634, 12162, 2737, 1831, 28332, 543, 11213, 563, 6701, 1630, 2812, 3361, 676, 1373, 2196, 1524, 888, 2791, 949, 581, 12155, 547, 1630, 2812, 1175, 1317, 596, 2461, 3622, 2196, 1524, 543, 13110, 269, 1809, 621, 779, 1271, 547, 2638, 972, 3884, 1406, 1022, 5817, 1966, 267, 971, 607, 1826, 476, 273, 3987, 563, 1692, 798, 594, 3247, 3478, 1630, 2812, 888, 4913, 267, 596, 666, 2061, 1630, 2812, 952, 596, 912, 268, 3680, 2673, 3346, 609, 2576, 945, 814, 513, 588, 7469, 3968, 267, 14974, 610, 16087, 684, 2193, 563, 268, 25169, 707, 3946, 4749, 609, 27611, 865, 2355, 543, 575, 1564, 267, 799, 666, 948, 2061, 519, 3262, 540, 4551, 563, 268, 645, 7752, 5781, 609, 12853, 563, 268, 5213, 1406, 2671, 610, 19074, 11547, 743, 16251, 267, 28734, 543, 9212, 563, 1692, 798, 594, 1205, 7759, 540, 513, 14974, 3533, 888, 763, 1101, 3364, 596, 1058, 798, 547, 948, 1205, 7759, 540, 1630, 2812, 568, 4019, 513, 3636, 14771, 269, 1924, 752, 513, 11547, 743, 1054, 538, 3636, 1216, 543, 1287, 2046, 621, 9900, 1996, 519, 14974, 585, 827, 476, 1015, 3764, 269, 1411, 666, 10956, 713, 1896, 2053, 2429, 519, 1554, 269, 3807, 899, 609, 513, 3636, 14771, 267, 1210, 513, 8022, 14950, 666, 948, 519, 14974, 1376, 547, 8963, 563, 1432, 568, 519, 2182, 8631, 3330, 513, 14974, 888, 1607, 10669, 23752, 4099, 568, 1572, 519, 4295, 269, 16828, 267, 519, 14974, 2501, 547, 513, 2212, 267, 2495, 513, 5835, 22554, 9133, 10953, 593, 1283, 540, 519, 4295, 563, 4692, 2566, 2014, 1630, 2812, 888, 15987, 9663, 684, 3380, 616, 1455, 267, 2566, 14001, 1630, 2812, 543, 519, 5817, 3123, 666, 581, 3226, 30414, 543, 13943, 269, 26805, 3232, 21500, 267, 5329, 2973, 2635, 2960, 267, 543, 2949, 4509, 606, 4761, 1062, 602, 568, 2635, 607, 2009, 786, 2569, 519, 8458, 540, 556, 24593, 5270, 540, 713, 562, 7572, 766, 2783, 563, 12663, 9561, 2597, 948, 609, 1630, 2812, 888, 763, 1353, 849, 4951, 602, 972, 941, 7864, 2127, 540, 1630, 2812, 543, 2960, 15087, 538, 519, 1895, 540, 1004, 945, 4503, 2597, 269, 769, 1840, 267, 1346, 945, 4503, 476, 1428, 260, 610, 811, 540, 741, 1560, 2597, 3893, 519, 1034, 8323, 689, 741, 15101, 2589, 563, 3963, 798, 594, 1832, 3478, 1630, 2812, 593, 1250, 1435, 545, 1858, 888, 22517, 2812, 2282, 519, 29199, 616, 3361, 676, 4551, 602, 4283, 998, 519, 2960, 543, 3468, 513, 4552, 21155, 548, 269, 18227, 707, 19058, 1858, 2973, 543, 8026, 1434, 9882, 568, 519, 1655, 1259, 547, 2061, 18596, 1630, 2812, 269, 1403, 596, 695, 1511, 707, 1435, 545, 1858, 609, 513, 986, 345, 528, 267, 1689, 707, 986, 345, 528, 1419, 563, 1692, 1279, 666, 513, 14974, 2063, 888, 22517, 2812, 949, 12115, 593, 741, 1378, 1310, 513, 1974, 540, 21422, 543, 7646, 1928, 269, 2859, 1419, 267, 789, 1831, 811, 11213, 607, 10669, 13976, 909, 269, 4425, 2812, 2356, 991, 547, 1930, 543, 8963, 538, 1931, 547, 12115, 269, 901, 1034, 1419, 4523, 1369, 476, 273, 4374, 563, 3963, 798, 594, 1832, 3478, 1630, 2812, 593, 1250, 12765, 888, 5472, 3425, 723, 713, 4551, 2713, 593, 741, 2960, 267, 1141, 621, 568, 2356, 20027, 269, 1879, 513, 1268, 10953, 1630, 2812, 593, 741, 12765, 4169, 610, 11992, 267, 621, 568, 1419, 1813, 547, 4551, 896, 519, 2960, 269, 21826, 569, 3395, 267, 4049, 267, 610, 20443, 1630, 2812, 949, 581, 3361, 676, 519, 4551, 19182, 6347, 267, 610, 8715, 27957, 11259, 590, 269, 28857, 563, 1432, 522, 842, 618, 568, 1434, 585, 1630, 2812, 888, 7712, 1082, 1004, 1832, 513, 8546, 540, 3026, 30950, 514, 538, 741, 4915, 22277, 267, 596, 1522, 711, 1256, 723, 547, 1413, 2484, 547, 1205, 621, 269, 898, 949, 849, 948, 1832, 519, 3968, 689, 10825, 269, 15233, 519, 15084, 522, 842, 618, 547, 519, 14974, 693, 2547, 7466, 513, 1554, 2394, 519, 14974, 568, 8854, 269, 0, 291, 7371, 619, 1023, 689, 519, 4639, 570, 996, 903, 607, 519, 2707, 540, 519, 21475, 8862, 652, 7414, 4763, 28326, 13607, 538, 635, 520, 592, 573, 1835, 27546, 454, 306, 4954, 338, 12064, 267, 6276, 282, 13391, 636, 14525, 267, 570, 5557, 345, 630, 1708, 273, 1070, 2598, 11825, 1023, 689, 519, 4639, 570, 996, 903, 607, 519, 2707, 540, 519, 21475, 8862, 652, 7414, 4763, 28326, 13607, 538, 635, 520, 592, 573, 1835, 27546, 267, 16959, 611, 267, 13096, 553, 564, 267, 4179, 2517, 8742, 3820, 270, 1015, 269, 2004, 277, 272, 7933, 787, 611, 269, 274, 339, 343, 4817, 343, 277, 329, 329, 454, 8256, 30679, 6681, 7740, 540, 9265, 616, 4749, 11911, 547, 2199, 2175, 602, 3895, 884, 857, 566, 610, 4187, 547, 14486, 267, 855, 2487, 29159, 2090, 5815, 713, 7154, 540, 7778, 1522, 711, 581, 1360, 2489, 267, 865, 621, 949, 581, 4829, 995, 547, 30603, 519, 1909, 540, 29371, 538, 23622, 9265, 269, 3371, 649, 2015, 519, 3157, 5817, 519, 7286, 4763, 28326, 13607, 538, 519, 21475, 8862, 652, 7414, 1851, 635, 520, 592, 573, 1835, 27546, 267, 20022, 1922, 29623, 20192, 514, 18344, 916, 17736, 545, 6681, 593, 2413, 9341, 18625, 269, 1284, 1031, 18577, 2039, 16646, 593, 513, 18105, 4094, 344, 540, 31607, 1835, 27546, 267, 19632, 513, 1007, 12136, 6538, 540, 8093, 635, 520, 592, 1749, 543, 23827, 730, 621, 609, 2625, 8494, 2065, 29089, 1049, 3631, 267, 543, 2919, 513, 24466, 1915, 5119, 547, 7447, 519, 3347, 1851, 2713, 543, 8093, 635, 520, 592, 1749, 269, 1323, 6827, 1537, 2039, 16646, 593, 513, 18105, 4094, 344, 540, 31607, 635, 520, 592, 1749, 973, 13569, 606, 5169, 3544, 519, 21475, 6261, 6680, 543, 11506, 29371, 883, 621, 269, 589, 1007, 12136, 6538, 5638, 519, 635, 520, 592, 573, 804, 1228, 10825, 856, 7930, 689, 5169, 538, 519, 7216, 30083, 26226, 540, 519, 4639, 570, 996, 903, 269, 1358, 798, 711, 2408, 538, 741, 2413, 28326, 13607, 2394, 519, 744, 5554, 18152, 267, 543, 7148, 327, 21978, 9382, 1397, 891, 2164, 3112, 581, 6045, 9003, 607, 513, 1267, 540, 16283, 10386, 538, 5607, 543, 7909, 807, 269, 7053, 267, 29981, 9382, 6542, 602, 7184, 29005, 13862, 31228, 635, 520, 592, 1749, 1185, 12090, 1354, 519, 804, 1228, 2968, 1134, 28004, 538, 519, 5101, 570, 996, 903, 267, 31552, 1082, 4830, 12165, 1023, 883, 519, 2413, 28326, 13607, 269, 1452, 931, 559, 1304, 2164, 2303, 513, 9265, 28326, 13607, 602, 7640, 525, 922, 6228, 547, 12165, 1023, 856, 540, 519, 3504, 4639, 570, 996, 903, 2864, 982, 547, 11506, 538, 2198, 29159, 563, 306, 1539, 1214, 540, 3590, 1738, 4437, 5505, 267, 13815, 281, 23958, 9906, 3194, 13815, 454, 305, 871, 5069, 23958, 3427, 267, 13815, 281, 681, 871, 5069, 20530, 334, 28118, 26665, 23050, 0, 8294, 25078, 20254, 404, 362, 21333, 8294, 14534, 12168, 359, 404, 371, 24220, 18716, 28405, 476, 28405, 404, 369, 29756, 12168, 357, 12022, 15906, 20254, 8294, 404, 374 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1882, 4528, 540, 1533, 10993, 269, 2422, 938, 3135, 3406, 269, 17776, 547, 519, 1753, 2985, 269, 16731, 519, 772, 2529, 269, 4972, 540, 3557, 25201, 15750, 2572, 2985, 269, 12846, 666, 1406, 1265, 1018, 596, 2461, 20965, 290, 2753, 2782, 14787, 6276, 631, 269, 5062, 303, 1667, 517, 4142, 545, 919, 606, 3003, 3184, 540, 1010, 17240, 12688, 10888, 6406, 2782, 1686, 547, 519, 11204, 12677, 2112, 267, 13886, 834, 300, 1410, 4815, 4024, 7313, 2581, 2974, 2668, 5062, 303, 1667, 517, 13187, 602, 519, 11204, 1700, 13563, 2782, 543, 922, 21987, 729, 513, 1883, 16857, 2680, 538, 519, 1291, 1575, 547, 519, 6406, 2782, 563, 292, 2202, 9887, 267, 607, 513, 2339, 540, 1455, 2631, 3609, 267, 1058, 723, 5423, 543, 13401, 519, 1788, 540, 1977, 7115, 267, 711, 4805, 1317, 519, 1158, 3666, 540, 1379, 865, 13714, 730, 267, 855, 849, 1317, 713, 568, 519, 16048, 543, 1978, 1797, 998, 799, 2342, 666, 10536, 18246, 5010, 24284, 269, 0, 1103, 3932, 267, 856, 540, 519, 4829, 890, 1564, 1031, 267, 11993, 890, 1564, 616, 2808, 607, 519, 1655, 6992, 16014, 563, 7617, 4829, 890, 1564, 616, 1434, 585, 2371, 888, 289, 534, 3570, 890, 1564, 616, 3226, 2500, 585, 946, 607, 513, 2067, 13226, 269, 1358, 4232, 3533, 952, 596, 30565, 873, 267, 5356, 3638, 8637, 585, 4105, 5567, 547, 519, 3037, 267, 1519, 11379, 267, 7513, 267, 16247, 267, 16903, 267, 13101, 543, 9770, 269, 1411, 666, 3819, 543, 20836, 890, 1564, 547, 946, 607, 22890, 267, 610, 4019, 873, 2047, 547, 9544, 2127, 563, 6701, 10448, 543, 4829, 890, 1564, 1434, 585, 2371, 888, 293, 21209, 543, 29641, 723, 7899, 540, 5567, 267, 543, 649, 2356, 2015, 741, 890, 1564, 607, 20203, 855, 1346, 616, 3730, 585, 519, 2371, 269, 12338, 519, 890, 1564, 883, 1507, 4773, 543, 946, 873, 607, 513, 13226, 269, 29759, 543, 10448, 890, 1564, 616, 3638, 538, 13101, 267, 11379, 267, 14434, 267, 543, 26939, 799, 616, 1434, 585, 2371, 685, 1072, 563, 3674, 4829, 22019, 1216, 1434, 585, 2371, 888, 1692, 6496, 901, 4518, 286, 14465, 3570, 890, 1564, 2270, 6266, 540, 5567, 267, 1519, 11379, 267, 16903, 267, 13101, 543, 7513, 1765, 718, 540, 799, 616, 2877, 585, 1434, 2030, 2208, 269, 1924, 1136, 519, 19337, 890, 1564, 2636, 519, 5567, 547, 682, 3663, 883, 519, 1216, 267, 543, 2899, 621, 16125, 519, 3037, 267, 519, 5072, 10544, 782, 1346, 6653, 267, 6653, 6886, 563, 4692, 4829, 22019, 13226, 888, 293, 8816, 890, 1564, 616, 1360, 3638, 538, 12550, 543, 2890, 5567, 602, 616, 6225, 585, 2030, 2208, 269, 1635, 1210, 4829, 22019, 607, 13226, 649, 666, 2569, 4452, 540, 22837, 543, 666, 1205, 811, 2640, 982, 22803, 13226, 563, 4692, 11197, 890, 1564, 581, 1031, 607, 13226, 888, 272, 269, 12567, 13226, 1107, 1403, 596, 723, 513, 10448, 4677, 610, 513, 1768, 15869, 609, 2371, 267, 596, 666, 22120, 519, 11945, 890, 1564, 1360, 3927, 269, 3807, 14299, 543, 3575, 873, 609, 824, 5214, 3653, 547, 1205, 513, 968, 327, 558, 17360, 892, 7848, 547, 581, 3262, 538, 519, 3037, 269, 769, 513, 2110, 942, 267, 519, 2371, 786, 2253, 547, 17708, 339, 563, 7617, 2371, 4324, 689, 19337, 890, 1564, 888, 1607, 1797, 11379, 11656, 19337, 890, 1564, 616, 5140, 585, 2371, 899, 14274, 267, 18717, 610, 5810, 269, 14465, 3570, 890, 1564, 849, 2270, 7513, 267, 799, 11151, 19806, 558, 1439, 4232, 538, 14274, 269, 634, 22670, 538, 19337, 890, 1564, 11226, 15591, 267, 1247, 519, 9770, 538, 19337, 890, 1564, 2337, 1216, 2095, 1063, 2281, 563, 2710, 13212, 1118, 1434, 13226, 888, 2791, 1616, 707, 11003, 547, 723, 513, 1434, 476, 2004, 281, 2004, 3575, 540, 9436, 543, 3327, 267, 12567, 619, 2622, 12139, 2829, 269, 2561, 956, 267, 4829, 543, 17724, 773, 29578, 689, 707, 10051, 267, 2059, 609, 6371, 804, 2089, 902, 543, 6995, 12406, 267, 1118, 909, 519, 9436, 2427, 540, 519, 3830, 563, 4692, 27335, 22019, 581, 1031, 607, 13226, 888, 5445, 3761, 5567, 547, 519, 3037, 547, 2087, 2030, 2208, 543, 2030, 7607, 269, 2560, 634, 2164, 666, 581, 11911, 547, 519, 5567, 540, 519, 27335, 890, 1564, 267, 971, 607, 11379, 543, 16903, 267, 799, 616, 3769, 538, 519, 1614, 3119, 5567, 1336, 538, 1455, 18168, 563, 6701, 31577, 890, 1564, 1434, 585, 2371, 888, 763, 22019, 689, 17436, 786, 4232, 1524, 883, 11003, 1360, 3533, 269, 634, 3039, 25568, 540, 17436, 786, 849, 4232, 883, 11003, 269, 5637, 519, 22019, 543, 25568, 540, 17436, 616, 2048, 26572, 839, 9957, 5410, 930, 3327, 2861, 2048, 321, 992, 985, 685, 547, 3666, 519, 11003, 563, 1432, 568, 519, 26128, 298, 540, 19337, 890, 1564, 888, 763, 26128, 298, 1871, 585, 19337, 32675, 568, 476, 271, 269, 277, 268, 271, 269, 275, 268, 1556, 269, 276, 269, 2560, 634, 26128, 298, 540, 4195, 19337, 890, 1564, 568, 476, 272, 270, 276, 540, 602, 267, 1818, 606, 26128, 298, 540, 476, 271, 269, 272, 268, 271, 269, 272, 268, 273, 269, 274, 269, 0, 763, 17266, 26930, 20232, 454, 763, 17266, 26930, 20232, 593, 9504, 454, 9336, 9074, 610, 1362, 1058, 723, 513, 2582, 5539, 1152, 563, 763, 1101, 540, 519, 1412, 306, 5357, 2839, 262, 3741, 269, 901, 6240, 5267, 602, 13838, 610, 5049, 1058, 798, 835, 3364, 543, 835, 3364, 1152, 269, 769, 811, 4052, 2474, 267, 713, 1797, 602, 513, 2582, 267, 1507, 1689, 547, 513, 4183, 540, 513, 1982, 1058, 2154, 513, 1689, 538, 835, 5057, 1152, 269, 1280, 1383, 267, 4657, 875, 513, 10957, 568, 24019, 585, 6988, 1058, 2154, 513, 1689, 538, 1152, 835, 851, 540, 519, 1982, 563, 31628, 21154, 267, 713, 1058, 1118, 519, 3009, 811, 7347, 267, 543, 4443, 547, 1689, 269, 18833, 602, 513, 5057, 799, 568, 1373, 4957, 814, 513, 2582, 5539, 1152, 1797, 602, 4152, 602, 1689, 1058, 581, 4443, 269, 4635, 519, 4505, 1383, 267, 4657, 519, 10957, 6988, 5057, 1058, 1152, 581, 2111, 547, 1860, 519, 2934, 799, 9305, 547, 10957, 6988, 269, 898, 666, 581, 1454, 811, 2352, 547, 2601, 827, 519, 1764, 540, 513, 1689, 547, 513, 5057, 799, 814, 1082, 9021, 269, 0, 9989, 2469, 547, 610, 1175, 519, 2219, 540, 2469, 547, 519, 11290, 13489, 909, 4606, 540, 11552, 553, 1465, 267, 11784, 267, 610, 4250, 888, 293, 792, 540, 2469, 547, 519, 11290, 267, 849, 1634, 607, 968, 16599, 22785, 2223, 568, 1360, 1455, 543, 814, 1044, 8995, 896, 1808, 943, 984, 5362, 2687, 547, 519, 26616, 543, 18926, 15015, 540, 10076, 15136, 630, 9169, 300, 9984, 4353, 543, 519, 4139, 18926, 19032, 540, 15302, 543, 13565, 2657, 10819, 563, 6097, 547, 5680, 13270, 267, 5959, 943, 14113, 666, 581, 513, 811, 3978, 2783, 982, 4160, 269, 968, 2005, 3762, 1004, 11784, 3613, 4459, 523, 543, 17512, 1881, 2507, 16269, 8858, 5929, 21084, 2623, 282, 602, 568, 267, 789, 786, 798, 3388, 2009, 547, 2057, 2469, 547, 519, 11290, 269, 4658, 609, 5959, 943, 14113, 2356, 979, 547, 519, 11290, 1152, 950, 7142, 547, 798, 865, 676, 3665, 1928, 3034, 1103, 1249, 267, 4160, 11151, 1063, 476, 280, 260, 543, 476, 736, 260, 540, 4892, 689, 2469, 547, 519, 11290, 15587, 563, 17829, 945, 7985, 689, 513, 5959, 943, 14113, 949, 1995, 519, 1739, 912, 268, 24410, 1076, 12008, 1354, 741, 5959, 981, 454, 268, 18521, 531, 908, 4606, 540, 8401, 1145, 3056, 909, 547, 543, 1247, 538, 519, 5959, 5604, 7996, 4055, 454, 268, 28214, 22350, 3929, 610, 24986, 693, 519, 2219, 540, 2469, 547, 519, 11290, 454, 268, 715, 13835, 267, 4743, 9308, 2192, 267, 610, 7411, 7244, 454, 268, 2271, 1619, 11552, 553, 1465, 3206, 827, 543, 950, 5959, 7405, 616, 5116, 538, 707, 5023, 454, 1432, 15486, 15482, 1912, 14113, 888, 291, 1581, 4160, 949, 581, 3361, 676, 9636, 610, 4250, 540, 519, 1739, 912, 268, 10266, 267, 799, 949, 6565, 689, 513, 3105, 18473, 5959, 1995, 454, 268, 1744, 1824, 267, 19271, 267, 610, 5855, 602, 519, 24409, 4465, 1406, 960, 454, 268, 1323, 17561, 610, 2009, 606, 20469, 2427, 2360, 971, 607, 21994, 267, 4743, 25861, 267, 610, 15353, 454, 268, 4477, 20439, 1145, 610, 2530, 540, 1852, 1282, 741, 5959, 981, 454, 268, 589, 2530, 540, 2123, 2230, 454, 268, 2598, 1260, 3228, 609, 519, 2168, 804, 4923, 612, 24579, 343, 14383, 540, 519, 11290, 610, 31978, 626, 547, 741, 3068, 454, 268, 18461, 902, 540, 1582, 23655, 1145, 827, 519, 5920, 540, 741, 4522, 454, 17682, 12295, 540, 2469, 547, 519, 11290, 286, 3371, 779, 1018, 596, 666, 798, 2336, 14188, 2685, 267, 972, 616, 2081, 547, 4383, 4160, 865, 602, 621, 3085, 1406, 2061, 596, 689, 9683, 519, 11290, 547, 2226, 1697, 5711, 1072, 269, 6787, 596, 7985, 689, 5212, 2632, 22785, 610, 930, 5634, 4606, 540, 8401, 1145, 267, 649, 4076, 3893, 930, 4388, 547, 948, 8396, 707, 12194, 563, 15973, 6510, 16175, 609, 707, 11290, 563, 2252, 596, 2461, 513, 1007, 3461, 610, 723, 1044, 2469, 547, 519, 1482, 5604, 585, 1296, 267, 621, 779, 1271, 547, 1865, 1022, 4160, 609, 707, 11290, 25656, 269, 18833, 707, 12194, 6619, 540, 942, 786, 1118, 873, 1732, 9280, 547, 1118, 596, 811, 6899, 269, 589, 1434, 11290, 786, 1491, 707, 4606, 12517, 2336, 2690, 1383, 267, 952, 707, 11290, 6487, 602, 596, 723, 16854, 4160, 1813, 547, 513, 3668, 540, 1852, 267, 789, 666, 1491, 3063, 3800, 547, 2491, 1018, 779, 8345, 2429, 519, 3003, 5650, 563, 8340, 513, 1920, 7888, 5604, 1604, 563, 2005, 779, 4443, 585, 2550, 540, 1022, 2085, 547, 1745, 811, 6899, 693, 519, 11290, 950, 11303, 676, 513, 12391, 5234, 538, 513, 3636, 543, 22205, 1604, 563, 268, 3657, 596, 30870, 609, 513, 12837, 888, 268, 1684, 596, 1745, 811, 693, 8897, 1317, 519, 5959, 2319, 814, 513, 1390, 1629, 6756, 528, 888, 19423, 823, 5790, 543, 1648, 6927, 267, 2523, 585, 1346, 602, 616, 8401, 563, 29991, 1928, 6604, 270, 2006, 1771, 2994, 563, 3080, 540, 519, 1034, 1455, 4128, 585, 4250, 532, 519, 11290, 568, 1928, 269, 13185, 547, 707, 11290, 827, 1585, 2081, 547, 4383, 519, 1928, 1282, 543, 1310, 2126, 269, 3509, 24782, 949, 946, 22521, 543, 2199, 23236, 610, 4160, 6527, 267, 4553, 676, 7840, 547, 7413, 1928, 543, 11926, 26063, 971, 607, 4672, 267, 936, 7308, 23716, 1928, 6646, 267, 610, 13310, 6646, 563, 8340, 2081, 547, 6001, 543, 1491, 4313, 563, 2005, 779, 849, 5227, 602, 1346, 609, 5959, 4160, 2263, 2081, 547, 6001, 543, 6175, 2566, 543, 7553, 3056, 909, 547, 543, 1282, 5959, 11400, 543, 5773, 269, 901, 1522, 1331, 912, 268, 3502, 20319, 20499, 1282, 22350, 17173, 8090, 610, 5712, 1282, 519, 1554, 454, 268, 28552, 2620, 7244, 543, 9066, 2553, 547, 6001, 707, 2247, 543, 1560, 454, 268, 20780, 532, 19240, 971, 607, 30069, 585, 2575, 267, 27143, 267, 610, 2835, 593, 11746, 1247, 693, 707, 13393, 454, 268, 11109, 513, 1920, 4759, 610, 3659, 1832, 596, 2754, 454, 2791, 666, 849, 3717, 547, 707, 11290, 610, 1776, 3782, 3318, 827, 15465, 19884, 10657, 630, 30274, 1070, 1776, 1935, 1031, 585, 824, 943, 984, 5362, 543, 568, 28110, 693, 4657, 2942, 4555, 543, 3527, 563, 18893, 585, 513, 811, 10509, 1606, 822, 11803, 5959, 2259, 563, 3849, 9330, 906, 538, 25185, 723, 8507, 538, 2484, 1447, 11213, 543, 1256, 1928, 6954, 5959, 5773, 269, 4855, 513, 2259, 602, 3096, 5969, 12967, 5959, 2029, 267, 799, 666, 948, 2110, 523, 11564, 543, 1118, 11400, 543, 2126, 811, 6899, 563, 2304, 4810, 11290, 6927, 563, 21607, 707, 5711, 1072, 543, 1022, 4606, 540, 5959, 4160, 538, 519, 3946, 540, 513, 3810, 1606, 330, 2683, 11290, 609, 1995, 269, 3487, 21871, 585, 1346, 609, 5959, 4160, 267, 2348, 4313, 609, 707, 11290, 568, 1883, 269, 1656, 267, 945, 1732, 547, 3972, 982, 835, 945, 814, 1296, 540, 1995, 543, 513, 1390, 4282, 888, 16485, 1920, 543, 2828, 945, 789, 4363, 267, 543, 1224, 2228, 8039, 269, 1411, 3580, 1205, 513, 1434, 2631, 540, 513, 11290, 779, 6791, 543, 7209, 676, 3257, 707, 1382, 563, 6826, 513, 2834, 2336, 763, 1655, 1259, 547, 723, 513, 2318, 1995, 693, 519, 11290, 568, 547, 1118, 2834, 11564, 269, 6145, 4376, 267, 519, 811, 596, 979, 267, 519, 811, 6899, 596, 3580, 1745, 269, 5213, 1406, 7227, 2394, 596, 2461, 538, 1928, 547, 1294, 707, 11290, 1765, 28300, 1950, 267, 17173, 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 ]
[ 1354, 7594, 7041, 269, 18897, 965, 7738, 568, 4294, 547, 811, 982, 1175, 519, 5820, 563, 2005, 849, 10039, 547, 1210, 2973, 543, 24846, 1242, 2645, 267, 7252, 267, 543, 27022, 269, 769, 2132, 267, 519, 957, 11151, 519, 3262, 540, 5739, 4551, 563, 2690, 1346, 945, 616, 5986, 519, 1426, 267, 596, 949, 917, 713, 281, 4098, 519, 1426, 3341, 609, 513, 2973, 6728, 568, 2629, 269, 589, 9488, 7738, 2337, 596, 3035, 971, 606, 1198, 563, 3528, 8499, 7738, 267, 596, 849, 2285, 519, 1426, 513, 6793, 4960, 547, 581, 15777, 543, 10930, 269, 2991, 782, 267, 538, 513, 1426, 3028, 1870, 267, 596, 8597, 547, 707, 2344, 543, 5304, 269, 4256, 3106, 786, 849, 7048, 593, 596, 563, 15563, 267, 649, 723, 547, 5965, 519, 1426, 7157, 269, 2368, 3536, 2154, 513, 1880, 1259, 540, 8600, 543, 13936, 873, 563, 2171, 949, 25010, 741, 8137, 952, 649, 798, 711, 5965, 873, 609, 5528, 269, 634, 10782, 30924, 9183, 568, 602, 649, 666, 849, 25010, 922, 15325, 563, 2791, 849, 723, 547, 4558, 707, 1426, 5265, 547, 2061, 713, 689, 8345, 563, 15933, 9882, 568, 513, 2629, 5057, 540, 519, 18226, 1995, 269, 19992, 519, 10207, 267, 621, 5849, 519, 3548, 619, 786, 1569, 1426, 602, 568, 2922, 547, 3548, 543, 1863, 689, 12526, 563, 347, 6701, 596, 606, 454, 22209, 7651, 584, 610, 3399, 1575, 888, 2710, 596, 723, 513, 11773, 9452, 547, 9523, 888, 306, 1872, 518, 300, 842, 1131, 899, 547, 2671, 707, 1967, 1650, 563, 2171, 3382, 16724, 12267, 267, 3399, 1575, 5240, 267, 6468, 16724, 2984, 267, 543, 3399, 1575, 2984, 454, 5649, 811, 1870, 4930, 1644, 547, 19833, 267, 16373, 267, 31055, 267, 16010, 267, 29661, 1222, 267, 5004, 267, 4065, 267, 543, 12752, 693, 590, 1872, 518, 300, 842, 269, 0, 14112, 585, 11473, 29093, 26275, 563, 309, 16598, 568, 513, 3044, 5496, 6571, 540, 476, 25953, 343, 21878, 19641, 269, 898, 729, 2919, 538, 476, 2735, 278, 543, 1631, 1360, 1906, 5904, 2196, 693, 713, 1970, 6571, 563, 2026, 3592, 782, 21697, 543, 12449, 6486, 666, 4159, 713, 1970, 6571, 267, 966, 16598, 568, 1419, 1031, 676, 1062, 20848, 602, 1450, 596, 547, 7369, 4159, 5468, 610, 798, 513, 1412, 17882, 11177, 8339, 1280, 1383, 8837, 1412, 338, 12522, 7154, 262, 8255, 693, 713, 6571, 563, 763, 966, 16598, 27296, 593, 519, 2780, 568, 513, 476, 1428, 8930, 23094, 609, 513, 4544, 5068, 7696, 563, 20806, 3188, 1294, 952, 596, 666, 1265, 856, 835, 3063, 1249, 593, 713, 1888, 602, 649, 10093, 1405, 2907, 5143, 596, 454, 12812, 593, 713, 3095, 281, 966, 16598, 0, 1103, 519, 2038, 2395, 540, 519, 4950, 267, 2228, 2792, 729, 3908, 547, 2596, 4757, 15377, 543, 5188, 12545, 269, 16480, 267, 609, 519, 4417, 540, 593, 11060, 10004, 1154, 267, 519, 1259, 11570, 2170, 539, 609, 835, 1776, 2228, 3576, 513, 10565, 2490, 269, 3245, 519, 1455, 11399, 3766, 31678, 20297, 540, 5769, 4039, 599, 13378, 630, 7644, 290, 264, 547, 519, 4473, 540, 2413, 20261, 8924, 267, 519, 4720, 540, 2228, 10004, 1154, 814, 19117, 519, 1259, 649, 1921, 609, 1866, 1369, 519, 3059, 1158, 563, 7644, 290, 267, 2919, 538, 476, 2735, 279, 267, 729, 835, 540, 519, 9998, 3029, 540, 2228, 10004, 5867, 269, 898, 4847, 3755, 547, 3413, 1460, 10004, 11623, 543, 723, 5872, 538, 1483, 6066, 7391, 609, 2043, 689, 10876, 538, 519, 1158, 269, 594, 13612, 6591, 3044, 640, 3533, 267, 4657, 883, 513, 13398, 585, 10509, 12439, 267, 32266, 267, 543, 1585, 1719, 2516, 269, 2755, 594, 13612, 26218, 519, 21370, 7082, 8818, 543, 16134, 540, 2413, 20261, 8924, 267, 621, 9788, 519, 6667, 585, 2228, 10004, 1949, 547, 2097, 563, 763, 476, 1960, 271, 338, 14754, 519, 4473, 540, 31302, 20261, 630, 8379, 264, 7426, 899, 15096, 304, 543, 589, 5357, 32653, 11619, 10152, 630, 288, 8379, 1040, 1452, 5867, 5189, 519, 1523, 540, 513, 14609, 344, 1592, 267, 28498, 3755, 547, 1294, 945, 729, 2228, 543, 10004, 609, 873, 538, 1483, 942, 269, 634, 16134, 543, 13418, 540, 22558, 7426, 1500, 873, 27723, 3044, 267, 3226, 10838, 7820, 4950, 3755, 269, 15706, 949, 1631, 1921, 543, 10004, 609, 2828, 543, 1920, 609, 1175, 513, 1297, 540, 30390, 563, 763, 2038, 476, 1220, 271, 338, 5189, 8521, 513, 3978, 5647, 538, 593, 11060, 10004, 1154, 281, 519, 4417, 540, 1357, 2861, 6140, 20261, 2533, 269, 15107, 13257, 899, 9049, 301, 11619, 10152, 543, 23968, 5622, 256, 11619, 10152, 13087, 3755, 547, 1569, 741, 10004, 6589, 2047, 998, 513, 1357, 11422, 267, 14874, 519, 991, 585, 1796, 29671, 3301, 269, 901, 1646, 1500, 10004, 1154, 1256, 811, 3015, 267, 607, 3755, 1522, 2845, 538, 689, 1022, 26099, 609, 606, 4950, 4276, 269, 5680, 17376, 574, 3320, 1759, 20261, 7426, 849, 5189, 2934, 899, 3758, 4687, 267, 2375, 545, 976, 267, 543, 2688, 14184, 1285, 520, 1513, 267, 4946, 513, 2123, 3346, 547, 593, 11060, 7391, 563, 2026, 519, 23163, 640, 540, 5985, 4559, 6607, 13702, 9643, 267, 865, 1705, 519, 3747, 585, 10004, 8924, 602, 4847, 2043, 547, 1921, 593, 519, 979, 269, 901, 3366, 547, 519, 11944, 540, 16335, 20261, 8924, 899, 29243, 7343, 267, 1284, 30942, 267, 543, 9365, 11619, 10152, 269, 1452, 8924, 3576, 5413, 540, 519, 16335, 781, 7207, 267, 7175, 5561, 547, 6928, 21849, 1543, 6835, 267, 5639, 4967, 267, 6337, 267, 543, 1256, 1118, 3381, 7125, 269, 634, 15774, 5610, 540, 20261, 8924, 609, 6049, 17066, 543, 1514, 5121, 1500, 621, 12863, 982, 2479, 547, 3251, 5532, 609, 2828, 267, 1920, 267, 543, 9164, 563, 763, 4720, 540, 2228, 10004, 1154, 4769, 1405, 3247, 972, 269, 2060, 519, 4473, 540, 5841, 4987, 543, 2067, 1893, 4393, 267, 26962, 9411, 519, 6429, 269, 13378, 21538, 616, 12747, 17187, 8069, 602, 949, 723, 5872, 538, 1257, 17376, 574, 3320, 1759, 7391, 609, 3755, 269, 1358, 723, 4362, 3156, 538, 23138, 1489, 267, 5691, 20843, 267, 543, 1256, 9913, 269, 11283, 725, 616, 16107, 30292, 2029, 547, 1683, 593, 519, 5544, 543, 10531, 6351, 267, 1818, 593, 11060, 10004, 1154, 513, 811, 1604, 7874, 543, 7317, 1995, 563, 11101, 267, 20261, 8924, 723, 4359, 547, 3761, 811, 982, 1175, 10004, 10342, 269, 1358, 4312, 1831, 5867, 585, 9867, 7426, 543, 2833, 269, 1280, 3236, 267, 1284, 30942, 538, 3624, 814, 7471, 3681, 899, 5985, 11033, 267, 11878, 3620, 9430, 267, 543, 1426, 6765, 267, 13321, 621, 1318, 883, 513, 12947, 23341, 813, 602, 4422, 3564, 6071, 2792, 563, 1103, 3932, 267, 519, 4720, 540, 2228, 10004, 1154, 814, 2097, 513, 1279, 1259, 267, 689, 519, 1257, 17376, 574, 3320, 1759, 7391, 540, 594, 13612, 547, 519, 4183, 11656, 20261, 8924, 540, 2221, 269, 898, 814, 19117, 519, 1259, 649, 6443, 543, 5968, 609, 1866, 267, 8840, 1524, 7687, 540, 3845, 543, 942, 269, 634, 3586, 5647, 538, 593, 11060, 10004, 5867, 5170, 547, 18534, 1901, 519, 3059, 31858, 4821, 267, 3246, 1007, 2081, 585, 11570, 547, 2170, 267, 12840, 267, 543, 2671, 2833, 269, 1306, 2029, 8441, 267, 649, 616, 2111, 547, 2503, 2228, 10004, 1154, 547, 2417, 11457, 267, 10962, 1256, 811, 3078, 543, 15138, 2081, 547, 1921, 609, 1866, 538, 519, 3059, 7706, 563, 2252, 596, 17329, 713, 2022, 543, 596, 1131, 899, 547, 3489, 3063, 9623, 7282, 476, 272, 517, 272, 10004, 24963, 979, 547, 519, 3896, 269, 0, 2414, 10726, 707, 30347, 538, 513, 1808, 2872, 267, 596, 991, 547, 1832, 909, 609, 1082, 2048, 322, 755, 1682, 9957, 18421, 11129, 547, 2253, 689, 1369, 607, 15626, 2014, 6238, 693, 1753, 269, 589, 22510, 2324, 1604, 2916, 267, 513, 4547, 1927, 5943, 602, 18715, 3448, 3551, 1145, 538, 519, 19359, 3529, 269, 2107, 606, 3858, 762, 3190, 540, 31356, 616, 15587, 4170, 547, 21707, 538, 519, 9746, 2361, 269, 1452, 2175, 10018, 602, 519, 2754, 568, 4625, 3514, 585, 23187, 519, 1034, 11506, 2048, 28237, 2032, 17483, 1607, 2442, 4082, 2048, 28237, 2032, 685, 729, 693, 1101, 606, 2962, 538, 799, 649, 1031, 547, 960, 856, 875, 1454, 1267, 649, 1205, 689, 513, 3684, 585, 513, 2016, 1344, 269, 3502, 1022, 811, 11658, 538, 519, 14264, 3273, 344, 7344, 1158, 269, 17497, 267, 7607, 568, 513, 4122, 1031, 2262, 547, 1174, 799, 267, 596, 1810, 1406, 991, 519, 948, 540, 513, 3621, 21184, 547, 4137, 856, 269, 1717, 267, 13031, 875, 7607, 666, 581, 14593, 909, 949, 581, 4277, 2016, 602, 960, 5054, 616, 27105, 676, 3875, 14443, 687, 563, 2171, 1058, 4990, 856, 7607, 538, 519, 2324, 1604, 676, 9363, 2476, 689, 782, 519, 960, 1604, 14443, 687, 563, 1432, 568, 8605, 2032, 538, 519, 31071, 888, 22998, 1604, 7607, 568, 9247, 875, 1587, 1947, 707, 31356, 3035, 741, 9333, 752, 902, 269, 1548, 2179, 540, 942, 789, 2154, 547, 9096, 873, 269, 589, 4396, 22509, 32484, 22082, 267, 22537, 21712, 5832, 540, 4971, 267, 1158, 15515, 908, 7760, 267, 610, 513, 5493, 7652, 960, 1604, 7011, 1782, 713, 21318, 540, 1919, 269, 4340, 547, 713, 1448, 540, 2070, 267, 782, 519, 2257, 540, 7607, 786, 4163, 4986, 855, 3983, 547, 596, 267, 543, 1919, 786, 2253, 3100, 532, 21372, 563, 1692, 31071, 8605, 2032, 568, 2725, 25979, 2622, 4204, 888, 763, 1034, 2110, 338, 32484, 1505, 585, 21501, 513, 2754, 779, 7607, 568, 547, 15652, 922, 1267, 676, 18452, 269, 2334, 568, 267, 8605, 2032, 284, 19243, 2813, 270, 19152, 2016, 269, 1280, 1383, 267, 589, 4235, 2754, 7472, 476, 8182, 876, 17529, 540, 29295, 618, 1142, 476, 1911, 3108, 269, 4935, 267, 519, 7607, 1131, 581, 476, 8182, 17529, 1142, 5662, 269, 1403, 513, 20645, 540, 5714, 568, 4502, 1269, 272, 269, 279, 267, 519, 7607, 538, 13362, 2474, 1131, 581, 1269, 25971, 829, 5662, 269, 4935, 267, 519, 2754, 7472, 476, 8182, 17529, 540, 4235, 829, 5662, 267, 12595, 693, 1269, 25971, 269, 901, 4640, 568, 1572, 27847, 4756, 7607, 563, 22546, 4369, 568, 835, 811, 2949, 8246, 10465, 547, 15378, 7607, 269, 898, 568, 21739, 519, 8167, 1063, 519, 2268, 540, 960, 5340, 543, 875, 1454, 1648, 568, 6170, 3297, 621, 269, 898, 568, 519, 2298, 16759, 3926, 602, 2982, 519, 1267, 538, 2557, 630, 22103, 1280, 3236, 267, 519, 3044, 942, 2877, 585, 22589, 606, 7084, 568, 476, 6321, 3108, 267, 2705, 519, 5520, 2838, 476, 3583, 3108, 547, 1246, 998, 609, 519, 2816, 269, 2353, 1919, 2808, 267, 519, 7607, 1131, 581, 630, 6321, 270, 3583, 265, 1911, 264, 815, 476, 3199, 10065, 13966, 891, 3515, 267, 649, 666, 2161, 602, 519, 5520, 941, 476, 3199, 260, 11327, 1247, 22589, 602, 2144, 8681, 563, 8448, 982, 891, 3527, 267, 519, 7122, 540, 2534, 519, 4604, 814, 1585, 3800, 630, 324, 3052, 1421, 5564, 604, 18503, 7607, 267, 782, 856, 3815, 7607, 267, 10058, 6514, 7403, 267, 543, 865, 8521, 264, 3773, 547, 741, 27132, 547, 17970, 1524, 782, 7294, 3934, 725, 547, 3605, 15931, 1239, 563, 14294, 881, 656, 10803, 3204, 8973, 31071, 8605, 2032, 454, 763, 1353, 9859, 676, 5192, 309, 334, 760, 593, 476, 18684, 274, 6738, 13522, 630, 21848, 2039, 281, 476, 1839, 268, 5038, 264, 3947, 721, 519, 1239, 602, 936, 476, 3199, 260, 540, 519, 5520, 1694, 1472, 2324, 538, 741, 7681, 269, 4438, 960, 3108, 267, 2021, 543, 2487, 2852, 1178, 1091, 616, 811, 2693, 547, 1694, 1472, 982, 741, 4891, 269, 634, 2731, 23892, 3364, 568, 602, 835, 856, 540, 1142, 2947, 5520, 17236, 998, 1472, 476, 3451, 260, 540, 741, 8647, 942, 563, 21982, 513, 575, 6387, 693, 519, 2197, 7721, 14032, 1344, 267, 649, 666, 1294, 267, 476, 8064, 260, 540, 519, 3703, 5520, 616, 711, 3730, 2614, 269, 634, 2063, 8717, 4718, 606, 796, 1706, 5537, 4110, 540, 7344, 4473, 267, 799, 5280, 772, 2529, 269, 5520, 547, 1628, 741, 7607, 676, 513, 23881, 18146, 476, 26562, 10065, 24006, 10603, 32490, 568, 1259, 6619, 538, 519, 7607, 3758, 609, 513, 717, 6185, 10422, 269, 540, 1269, 11152, 269, 275, 1142, 5662, 540, 960, 982, 1022, 6967, 6082, 269, 17023, 569, 267, 609, 3339, 7607, 540, 476, 4375, 269, 273, 9077, 16231, 6243, 568, 519, 5001, 1394, 17754, 7815, 538, 519, 7607, 2594, 563, 17843, 2959, 2949, 6829, 602, 476, 10695, 260, 540, 519, 31356, 1810, 1406, 4625, 3398, 602, 602, 789, 991, 547, 2611, 693, 519, 9036, 547, 581, 811, 3730, 267, 1141, 476, 5325, 260, 540, 519, 5520, 1767, 789 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 263, 2862, 264, 5409, 325, 710, 23993, 2059, 519, 6252, 3148, 267, 1813, 547, 519, 5872, 540, 606, 10002, 8529, 6475, 8095, 630, 306, 815, 476, 16006, 264, 540, 19923, 263, 2862, 264, 609, 519, 6046, 8095, 540, 630, 296, 815, 476, 274, 270, 273, 264, 540, 476, 8287, 267, 4792, 290, 340, 22140, 267, 607, 8612, 676, 519, 4544, 3804, 2022, 538, 8431, 476, 273, 291, 269, 21452, 267, 519, 661, 11266, 6786, 6175, 7444, 2390, 12675, 29164, 267, 11021, 602, 3773, 19923, 263, 2862, 264, 568, 1360, 7444, 4389, 547, 19923, 263, 296, 264, 630, 8993, 476, 273, 292, 543, 476, 273, 293, 1040, 901, 267, 1927, 609, 519, 7872, 602, 744, 1440, 290, 25907, 19923, 263, 296, 264, 2047, 689, 519, 700, 289, 2923, 267, 1223, 581, 606, 7778, 585, 519, 8343, 602, 607, 1790, 584, 1881, 744, 1440, 290, 267, 6829, 896, 20659, 2175, 267, 3568, 4389, 7601, 269, 1717, 267, 621, 568, 2312, 602, 519, 4767, 5786, 540, 19923, 263, 2862, 264, 568, 1932, 3500, 547, 581, 28772, 10999, 4143, 267, 1073, 341, 11868, 519, 991, 547, 1265, 513, 2964, 2065, 7778, 563, 24426, 4614, 710, 568, 1898, 585, 1164, 268, 3530, 6541, 7601, 19923, 263, 2862, 264, 11006, 454, 4407, 744, 1440, 290, 310, 307, 543, 1034, 2582, 620, 29516, 4573, 1218, 666, 581, 630, 4820, 569, 264, 16041, 3842, 19923, 263, 2862, 264, 29164, 267, 713, 568, 711, 519, 2013, 585, 519, 595, 16960, 288, 30354, 630, 8993, 476, 273, 289, 1040, 1284, 24370, 2213, 602, 8851, 540, 519, 2166, 4614, 710, 1223, 1291, 547, 1454, 2539, 25505, 585, 19923, 263, 2862, 1070, 865, 602, 1310, 22444, 267, 4986, 3788, 3808, 269, 1677, 1683, 1489, 585, 713, 267, 649, 5462, 519, 12627, 3889, 540, 519, 744, 1440, 290, 595, 16960, 288, 30354, 9279, 31051, 2213, 609, 19923, 263, 2862, 264, 610, 8988, 3397, 263, 296, 1040, 1280, 1142, 12627, 267, 14449, 941, 6394, 693, 476, 279, 267, 8517, 552, 309, 543, 476, 280, 267, 11260, 552, 309, 547, 10646, 1063, 1312, 8407, 269, 21940, 7601, 568, 4397, 547, 2285, 513, 2178, 18811, 748, 8445, 1152, 693, 476, 280, 267, 11260, 552, 309, 630, 6518, 568, 1657, 519, 7601, 918, 6316, 693, 476, 279, 267, 280, 8064, 552, 309, 1070, 1247, 3808, 8988, 786, 2285, 13380, 19589, 693, 1312, 19367, 630, 1492, 8988, 700, 268, 7656, 6316, 568, 693, 476, 274, 267, 31620, 552, 309, 1040, 1280, 595, 16960, 288, 9279, 31051, 2213, 609, 19923, 263, 2862, 1070, 1100, 18811, 748, 19589, 616, 7298, 693, 1312, 19367, 630, 8993, 476, 274, 289, 1070, 6029, 602, 19923, 263, 2862, 264, 11006, 568, 8197, 27618, 269, 14265, 1017, 569, 267, 538, 519, 4527, 540, 8988, 267, 519, 1482, 476, 274, 18811, 748, 19589, 616, 7298, 607, 585, 654, 307, 744, 1440, 290, 630, 4818, 732, 8431, 476, 274, 288, 543, 476, 274, 291, 1070, 9244, 11021, 602, 519, 595, 16960, 288, 30354, 666, 1869, 12622, 19923, 263, 296, 1040, 4595, 19923, 263, 2862, 264, 27422, 1277, 26593, 9436, 607, 14270, 1343, 543, 19923, 263, 2862, 264, 11006, 4609, 1419, 2270, 835, 610, 811, 3571, 22016, 267, 649, 849, 9279, 31051, 2213, 519, 670, 26825, 288, 30354, 609, 19923, 263, 2862, 264, 543, 3397, 263, 296, 1040, 1306, 3254, 538, 8431, 476, 274, 290, 543, 476, 274, 292, 267, 835, 2178, 18811, 748, 8445, 267, 693, 519, 1164, 268, 3530, 6541, 11006, 3135, 267, 568, 4767, 609, 19923, 263, 2862, 1070, 5885, 519, 22444, 1239, 602, 519, 1277, 26593, 568, 711, 2838, 585, 19923, 263, 2862, 264, 11006, 269, 2060, 3397, 263, 296, 1070, 476, 273, 2312, 18811, 748, 19589, 616, 4767, 267, 11021, 602, 519, 670, 26825, 288, 30354, 666, 1869, 12622, 19923, 263, 296, 264, 693, 519, 9030, 3135, 543, 693, 519, 8715, 542, 710, 3950, 563, 302, 1440, 290, 18657, 919, 7601, 11601, 538, 623, 269, 7098, 1872, 514, 6242, 454, 2414, 6542, 602, 744, 1440, 290, 20558, 7601, 267, 649, 5340, 26103, 2208, 6901, 538, 623, 269, 7098, 1872, 514, 6242, 609, 3773, 7601, 269, 9717, 602, 522, 1440, 290, 4082, 568, 1065, 5962, 609, 4430, 5007, 19923, 263, 2862, 264, 1496, 2918, 1700, 3066, 3910, 649, 6964, 513, 4599, 514, 846, 2987, 3027, 1043, 21467, 343, 16054, 540, 3571, 2389, 698, 3022, 522, 1440, 290, 3842, 519, 3376, 2039, 9063, 26314, 1789, 9842, 13232, 1547, 1284, 1264, 7757, 519, 13698, 1691, 18529, 641, 337, 290, 8833, 609, 744, 1440, 290, 310, 307, 268, 543, 744, 1440, 7563, 288, 25202, 9842, 332, 1749, 543, 5340, 2208, 29508, 538, 3638, 2923, 609, 8900, 6152, 607, 1852, 269, 590, 276, 8431, 2982, 2312, 17219, 950, 744, 1440, 290, 310, 307, 568, 21467, 343, 335, 5962, 267, 1256, 1510, 19923, 263, 2862, 264, 1840, 269, 5080, 29418, 267, 4082, 540, 744, 1440, 7563, 288, 729, 8449, 6757, 607, 744, 1440, 290, 310, 307, 21467, 343, 16054, 267, 799, 6920, 602, 519, 17219, 26737, 568, 3361, 676, 21467, 343, 16054, 540, 744, 1440, 290, 829, 694, 543, 568, 2693, 711, 5532, 547, 744, 1440, 290, 1599, 563, 7712, 7601, 17219, 29508, 8959, 267, 649, 4956, 547, 3313, 623, 269, 7098, 1872, 514, 6242, 2898, 16052, 4496, 9115, 1210, 594, 9573, 5336, 306, 269, 1284, 4767, 1100, 3604, 538, 7601, 1543, 1063, 519, 654, 307, 13698, 1691, 543, 18529, 641, 337, 290, 12490, 538, 3638, 2923, 1510, 3773, 7601, 630, 306, 277, 8431, 1070, 11021, 602, 744, 1440, 290, 568, 711, 6829, 896, 891, 2175, 269, 1635, 4334, 267, 2281, 11589, 744, 1440, 290, 310, 307, 689, 9063, 26314, 1789, 723, 811, 2404, 7601, 950, 3379, 547, 519, 8900, 6152, 1852, 267, 896, 1312, 20659, 543, 26103, 2175, 630, 8993, 476, 275, 288, 1040, 1717, 267, 607, 3254, 676, 519, 17219, 4307, 8040, 4843, 1657, 267, 713, 1223, 849, 581, 1813, 547, 2799, 13451, 1465, 540, 2281, 607, 513, 1267, 540, 9842, 13232, 2861, 744, 6573, 4082, 267, 513, 7872, 602, 729, 711, 3144, 883, 2272, 538, 513, 2487, 1353, 1547, 1717, 267, 2281, 11589, 519, 744, 1440, 7563, 288, 29680, 30354, 723, 7601, 2157, 2147, 547, 1346, 540, 519, 1852, 269, 5047, 267, 744, 1440, 290, 310, 307, 543, 744, 1440, 7563, 288, 616, 1459, 693, 2147, 2157, 538, 519, 744, 300, 630, 8993, 476, 275, 289, 1070, 11744, 602, 519, 1114, 5666, 540, 7601, 2404, 609, 519, 2281, 616, 711, 1813, 547, 3604, 538, 3940, 2157, 269, 769, 1840, 267, 1100, 8101, 3604, 941, 9571, 585, 824, 546, 20884, 8407, 267, 30260, 519, 538, 20117, 6901, 602, 744, 1440, 290, 568, 1808, 585, 7601, 269, 1452, 1239, 267, 1927, 609, 519, 1249, 602, 519, 744, 1440, 290, 3889, 8858, 782, 519, 10689, 12201, 540, 513, 536, 7431, 535, 728, 570, 9720, 307, 630, 8993, 476, 272, 267, 590, 274, 8431, 1070, 9244, 2303, 602, 744, 1440, 290, 568, 513, 7601, 791, 7163, 538, 623, 269, 7098, 1872, 514, 6242, 269, 9717, 519, 5266, 16434, 3604, 538, 4767, 7601, 9115, 267, 10408, 6824, 566, 2090, 547, 4603, 958, 6542, 744, 1440, 290, 24975, 7601, 1104, 8957, 11006, 786, 581, 4101, 269, 769, 1840, 267, 621, 568, 711, 1634, 547, 799, 540, 519, 476, 274, 623, 269, 7098, 1872, 514, 6242, 29139, 289, 5946, 744, 1440, 290, 15185, 267, 543, 875, 4082, 540, 713, 29139, 19447, 1440, 290, 568, 14931, 267, 1775, 4318, 1421, 621, 568, 2009, 602, 744, 1440, 290, 568, 4628, 16041, 1510, 7601, 1373, 16865, 269, 898, 849, 4667, 2312, 602, 623, 269, 7098, 1872, 514, 6242, 666, 10536, 7601, 538, 519, 9000, 540, 744, 1440, 290, 267, 2901, 3842, 835, 540, 519, 1082, 744, 300, 9055, 6829, 538, 623, 269, 7098, 1872, 514, 6242, 610, 5310, 3842, 630, 320, 264, 11188, 514, 23949, 8817, 13374, 4433, 264, 607, 5063, 3254, 585, 11216, 4586, 10490, 264, 19940, 16052, 4496, 1543, 540, 13698, 1691, 18529, 641, 337, 290, 2281, 21467, 343, 335, 7675, 8900, 6152, 630, 19009, 13063, 264, 744, 1440, 290, 310, 307, 630, 326, 9445, 13063, 264, 543, 744, 1440, 7563, 288, 5946, 630, 18872, 13063, 264, 21845, 3842, 594, 9573, 5336, 306, 269, 8426, 2404, 4496, 1543, 729, 5462, 538, 2281, 6738, 538, 3638, 2923, 29979, 609, 476, 1911, 544, 300, 9770, 24277, 630, 7224, 3773, 7601, 264, 896, 1312, 20659, 630, 3847, 8440, 264, 543, 26103, 2175, 630, 2431, 8440, 1040, 634, 476, 274, 6211, 18187, 919, 616, 28367, 14384, 1813, 547, 3604, 538, 6207, 4496, 2157, 269, 7797, 539, 2418, 616, 25939, 13008, 12676, 630, 333, 815, 476, 274, 1040, 31056, 2157, 941, 21845, 3842, 10002, 8529, 476, 273, 26904, 512, 1449, 269, 562, 338, 267, 711, 1713, 630, 335, 21759, 476, 271, 269, 4962, 5148, 2608, 267, 533, 18016, 476, 271, 269, 4962, 282, 2878, 267, 533, 18016, 476, 271, 269, 4905, 282, 2878, 24682, 533, 18016, 476, 271, 269, 9826, 282, 2878, 1262, 267, 533, 18016, 476, 271, 269, 1822, 272, 269, 630, 289, 264, 590, 9169, 268, 5183, 12283, 15074, 540, 9063, 26314, 1789, 268, 30371, 343, 335, 5962, 744, 1440, 290, 310, 307, 543, 744, 1440, 7563, 288, 5946, 538, 13698, 1691, 18529, 641, 337, 290, 1310, 22558, 3722, 269, 7136, 525, 689, 519, 7636, 2597, 15262, 616, 3254, 593, 519, 2451, 269, 7201, 2391, 1239, 585, 713, 4137, 666, 581, 1336, 538, 590, 272, 4578, 269, 594, 9573, 5336, 306, 267, 32366, 1947, 13745, 11919, 2527, 26563, 4479, 282, 22558, 3722, 267, 1799, 984, 559, 2213, 4496, 25505, 24885, 2762, 282, 562, 338, 267, 711, 1713, 282, 654, 307, 267, 3552, 15178, 563, 302, 1440, 290, 568, 10731, 538, 623, 269, 7098, 1872, 514, 6242, 1282, 3968, 454, 13146, 2090, 723, 6700, 602, 744, 1440, 290, 568, 1271, 585, 2205, 18834, 538, 623, 269, 7098, 1872, 514, 6242, 543, 3600, 6839, 14385, 22678, 30977, 4512, 1496, 4391, 267, 4343, 4940, 1452, 4574, 267, 2705, 267, 1705, 711, 1683, 513, 2268, 540, 519, 11606, 540, 744, 1440, 290, 1282, 3968, 538, 24155, 269, 1284, 4061, 4956, 547, 3313, 519, 11606, 540, 519, 3810, 2147, 744, 1440, 290, 5946, 630, 2004, 260, 5311, 3961, 282, 590, 278, 8431, 264, 538, 623, 269, 7098, 1872, 514, 6242, 17459, 289, 13048, 268, 5183, 1691, 543, 589, 269, 22678, 30977, 4512, 11083, 6717, 476, 3422, 6187, 538, 7783, 5761, 8031, 3842, 513, 6213, 6098, 2926, 15299, 1935, 609, 6252, 5114, 5464, 630, 32325, 1040, 634, 2164, 4951, 602, 538, 1312, 10856, 543, 3731, 16415, 3631, 267, 744, 1440, 290, 729, 1459, 693, 476, 272, 267, 1822, 547, 476, 1015, 267, 1822, 6675, 829, 623, 269, 7098, 1872, 514, 6242, 1591, 267, 1818, 621, 835, 540, 519, 476, 276, 1034, 10731, 570, 9720, 25629, 269, 1306, 513, 6476, 267, 519, 1034, 10731, 570, 9720, 307, 267, 674, 335, 341, 288, 630, 28717, 9407, 538, 4401, 1606, 3187, 2684, 648, 19718, 1070, 1185, 476, 279, 267, 1822, 547, 476, 3451, 267, 1822, 6675, 829, 1591, 269, 769, 589, 269, 22678, 30977, 4512, 267, 744, 1440, 290, 729, 1447, 10731, 538, 10856, 543, 3731, 16415, 3631, 630, 2412, 547, 476, 6110, 6675, 829, 1591, 1070, 1247, 519, 1034, 10731, 570, 9720, 25629, 645, 325, 333, 295, 543, 645, 879, 288, 941, 1459, 693, 476, 4335, 547, 476, 274, 267, 1822, 6675, 829, 1591, 563, 5978, 1239, 2303, 602, 519, 570, 9720, 307, 744, 1440, 290, 25907, 1312, 19923, 263, 296, 264, 543, 19923, 263, 2862, 264, 1360, 17401, 693, 606, 8966, 595, 16282, 343, 300, 6953, 343, 300, 11006, 3135, 602, 3587, 19857, 16934, 2390, 4496, 11006, 267, 737, 6839, 1227, 29212, 519, 4496, 543, 840, 6984, 8990, 540, 4496, 11006, 3413, 514, 885, 269, 634, 7601, 3135, 1034, 2147, 547, 602, 538, 744, 1440, 290, 4386, 538, 1362, 594, 7392, 594, 7601, 5946, 899, 2166, 1729, 577, 4435, 524, 12444, 848, 267, 29660, 1794, 584, 514, 543, 726, 770, 30662, 514, 267, 6475, 4483, 5946, 602, 666, 11282, 1312, 19923, 263, 296, 264, 543, 19923, 263, 2862, 264, 3842, 476, 273, 290, 903, 266, 272, 18404, 266, 272, 14367, 3135, 610, 476, 273, 14367, 266, 272, 290, 903, 266, 272, 18404, 4609, 269, 21452, 267, 519, 3742, 3135, 3571, 14056, 538, 20842, 584, 514, 14906, 619, 519, 7601, 11046, 19857, 538, 17739, 1043, 1496, 4375, 267, 2412, 3910, 24188, 547, 519, 2693, 1909, 540, 5450, 15704, 538, 744, 1440, 290, 269, 634, 21603, 16726, 540, 519, 744, 1440, 290, 11006, 3135 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 538, 838, 332, 2187, 2018, 1820, 3488, 11004, 568, 513, 32089, 7508, 5073, 2018, 1820, 9638, 332, 994, 2018, 568, 6831, 8091, 25716, 454, 2018, 2736, 454, 825, 952, 711, 568, 6831, 8091, 912, 1038, 2736, 454, 604, 568, 6831, 8091, 912, 825, 1820, 3488, 718, 2706, 11279, 20706, 2270, 782, 32545, 5073, 0, 5035, 8827, 912, 825, 1219, 568, 11749, 573, 4311, 267, 521, 281, 1193, 264, 9847, 536, 944, 1384, 1038, 7117, 815, 11713, 1038, 544, 815, 2715, 10807, 9166, 1412, 263, 3299, 1412, 316, 9166, 1412, 314, 3299, 1412, 348, 9166, 1412, 346, 262, 10926, 1038, 585, 1347, 538, 521, 912, 2018, 952, 1347, 538, 1412, 20719, 9131, 912, 3546, 7117, 6910, 263, 10420, 994, 2018, 8640, 1347, 538, 1412, 14587, 316, 12466, 3546, 952, 711, 7003, 32429, 2187, 7386, 2132, 8771, 692, 3546, 2025, 318, 10420, 815, 7117, 21014, 4590, 3546, 952, 2025, 318, 10420, 11203, 544, 314, 10420, 14158, 7386, 2132, 8771, 454, 2018, 3116, 912, 3546, 3136, 692, 1038, 2132, 711, 7003, 32429, 994, 0, 5228, 17511, 1104, 2608, 7531, 5035, 8827, 912, 825, 8173, 825, 7711, 12407, 281, 15358, 281, 589, 1592, 540, 9981, 563, 825, 7711, 8873, 281, 589, 1592, 540, 32545, 563, 825, 29185, 825, 1219, 7989, 1393, 4311, 267, 15358, 2187, 1038, 1948, 2328, 707, 3009, 1934, 454, 1038, 759, 815, 11713, 1038, 1582, 18622, 2017, 25225, 267, 1496, 3910, 759, 994, 1038, 2132, 759, 692, 825, 1219, 9888, 4311, 267, 15358, 267, 1225, 281, 5903, 27776, 3910, 759, 281, 5903, 314, 8266, 27776, 316, 8079, 1384, 1038, 952, 711, 15358, 912, 2018, 759, 6910, 263, 2017, 994, 2018, 2132, 692, 1038, 585, 1775, 538, 2039, 12759, 25225, 15892, 2018, 1582, 18622, 2017, 25225, 11468, 328, 316, 1341, 15358, 5157, 1341, 476, 272, 281, 3910, 1225, 1341, 1496, 333, 4548, 5157, 316, 3910, 759, 264, 0, 258, 476, 1496, 299, 842, 24927, 316, 476, 2568, 280, 5565, 5681, 910, 10815, 982, 610, 3160, 547, 3077, 476, 25335, 352, 30903, 502, 418, 488, 354, 417, 495, 488, 454, 258, 13517, 454, 258, 9717, 606, 5044, 540, 9981, 267, 1265, 875, 1082, 8424, 538, 519, 5044, 971, 602, 741, 2040, 568, 1447, 982, 610, 3160, 547, 513, 1808, 3077, 1297, 269, 7490, 2132, 519, 1297, 540, 8424, 563, 16482, 16482, 16482, 258, 7151, 454, 258, 9717, 15358, 815, 1496, 273, 267, 476, 278, 267, 476, 1556, 267, 476, 1428, 3910, 3077, 815, 476, 2190, 563, 258, 17776, 476, 276, 563, 258, 476, 273, 1341, 476, 278, 2999, 476, 2190, 454, 258, 476, 273, 1341, 476, 1556, 2999, 476, 2190, 454, 258, 476, 273, 1341, 476, 1428, 2999, 476, 2190, 454, 258, 476, 278, 1341, 476, 1556, 2999, 476, 2190, 454, 258, 476, 278, 1341, 476, 1428, 2999, 476, 1839, 692, 5035, 8827, 10778, 825, 23288, 672, 2608, 7711, 12407, 15358, 606, 5044, 540, 8870, 454, 672, 2608, 7711, 12407, 3077, 606, 8870, 454, 672, 2608, 7711, 8873, 606, 8870, 454, 672, 23288, 825, 1219, 1079, 11764, 276, 4311, 267, 15358, 267, 3077, 2187, 1038, 15358, 31699, 4590, 1038, 561, 267, 337, 815, 476, 271, 267, 6352, 25225, 9984, 272, 454, 1038, 1293, 815, 476, 271, 454, 1038, 1247, 561, 283, 337, 1384, 2018, 952, 15358, 314, 337, 27994, 333, 4548, 314, 331, 316, 3436, 3077, 912, 3546, 1293, 6834, 678, 2000, 454, 3546, 678, 268, 284, 272, 454, 2018, 3116, 912, 3546, 561, 23785, 272, 19638, 692, 7531 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4058, 1920, 6980, 543, 16152, 267, 7311, 891, 24534, 7840, 547, 1453, 779, 3232, 11326, 666, 5000, 1434, 4189, 6208, 693, 606, 2038, 2085, 269, 901, 786, 948, 1453, 1020, 15508, 543, 9308, 2687, 547, 2208, 12125, 543, 824, 7403, 1305, 676, 12963, 2103, 630, 31850, 5974, 945, 20647, 538, 12391, 585, 1453, 264, 543, 786, 948, 2061, 2104, 2042, 609, 31952, 11661, 610, 609, 4189, 4713, 269, 3509, 9422, 4966, 3858, 602, 952, 1453, 3548, 513, 7059, 2732, 602, 2882, 782, 540, 519, 5227, 1426, 2516, 267, 789, 786, 711, 991, 547, 1491, 6171, 26553, 1968, 9360, 563, 2690, 811, 1344, 267, 649, 4363, 602, 596, 1224, 912, 14399, 1079, 547, 2947, 1296, 540, 2085, 454, 763, 589, 7246, 543, 22340, 4363, 1426, 4808, 585, 1762, 1453, 2147, 547, 1346, 585, 4587, 1453, 543, 4079, 267, 855, 609, 4130, 13980, 269, 1879, 3168, 693, 513, 2039, 540, 6712, 7306, 267, 3237, 543, 1346, 945, 1416, 585, 1762, 1453, 1058, 3442, 519, 4130, 6712, 7306, 585, 1453, 2085, 1079, 610, 1614, 267, 543, 979, 609, 513, 5594, 3677, 6712, 585, 1453, 945, 616, 2085, 2185, 610, 2947, 269, 11545, 7840, 1331, 912, 1700, 2185, 547, 2947, 32122, 540, 3694, 338, 267, 24799, 267, 7573, 267, 18437, 454, 1700, 1079, 610, 811, 32122, 540, 5388, 454, 1700, 1079, 610, 811, 32122, 540, 4829, 454, 1700, 1614, 547, 2185, 32122, 540, 10683, 2472, 454, 1700, 1079, 610, 1614, 32122, 540, 5779, 267, 3165, 267, 16738, 267, 22053, 630, 28369, 267, 21378, 2812, 267, 17112, 264, 2991, 2085, 1079, 267, 513, 1126, 2115, 1447, 3170, 982, 606, 10867, 1765, 12671, 476, 1789, 260, 540, 3232, 8477, 269, 2991, 2085, 1614, 267, 6775, 3587, 811, 1271, 538, 513, 1126, 779, 2732, 543, 666, 1764, 2104, 2295, 1072, 269, 25289, 4170, 20406, 2333, 607, 1453, 1205, 4587, 267, 689, 476, 4335, 8406, 513, 1554, 693, 2085, 1614, 547, 476, 8517, 8406, 513, 1554, 693, 2085, 2185, 547, 5216, 269, 1703, 568, 811, 7513, 538, 519, 1560, 982, 1022, 824, 7777, 269, 25289, 1568, 1927, 609, 16903, 630, 18314, 2694, 7513, 547, 835, 851, 16903, 264, 585, 2635, 7633, 543, 4522, 543, 1568, 1927, 609, 13101, 630, 18314, 2694, 7513, 547, 5594, 936, 835, 851, 13101, 264, 547, 2061, 9025, 630, 29188, 8043, 540, 519, 2295, 264, 543, 824, 28115, 894, 3676, 269, 769, 1931, 585, 7513, 547, 581, 12842, 676, 519, 1560, 267, 621, 1590, 849, 723, 6190, 5666, 540, 8324, 595, 267, 667, 543, 589, 269, 769, 1840, 547, 1426, 2959, 267, 606, 5662, 540, 24106, 1142, 1554, 666, 849, 1683, 513, 1126, 609, 1010, 17017, 3232, 6171, 667, 10421, 563, 14399, 3670, 547, 476, 1321, 1296, 540, 2085, 454, 3528, 519, 942, 1453, 3914, 2085, 2947, 610, 3670, 267, 789, 2253, 547, 2995, 3237, 1018, 3536, 789, 899, 269, 14268, 543, 1346, 945, 1416, 585, 519, 1453, 666, 948, 2824, 3536, 689, 1142, 5227, 1895, 602, 513, 1126, 786, 2972, 269, 2836, 12929, 4170, 543, 6712, 7306, 2333, 607, 1453, 1205, 4587, 281, 1063, 6502, 3670, 543, 476, 1015, 267, 8695, 543, 6690, 991, 1063, 476, 272, 267, 7785, 543, 476, 273, 267, 6110, 8477, 1142, 1554, 563, 10303, 540, 23648, 543, 15730, 2208, 267, 1063, 6502, 476, 1015, 543, 476, 1321, 267, 6690, 991, 827, 476, 1220, 811, 8477, 513, 1554, 269, 27258, 786, 2253, 17596, 827, 476, 4335, 811, 8477, 513, 1554, 1310, 2085, 476, 1321, 269, 634, 1739, 32122, 829, 1554, 616, 5227, 585, 1453, 6502, 3670, 547, 476, 1321, 912, 1700, 3670, 547, 476, 1556, 32122, 540, 3694, 338, 267, 24799, 267, 7573, 267, 18437, 454, 1700, 1614, 547, 2947, 32122, 540, 5388, 454, 1700, 1079, 547, 2185, 32122, 540, 4829, 454, 1700, 1614, 610, 2185, 32122, 540, 10683, 2472, 454, 1700, 1079, 610, 1614, 32122, 540, 5779, 267, 3165, 267, 16738, 267, 22053, 454, 3528, 2085, 3670, 267, 1453, 1869, 991, 1152, 827, 476, 1789, 260, 540, 8477, 689, 3170, 269, 12594, 1235, 2161, 602, 676, 4946, 2947, 547, 519, 1126, 779, 2085, 267, 3237, 666, 7447, 519, 1297, 540, 6775, 10101, 513, 1126, 2115, 1142, 1554, 269, 25289, 4170, 3136, 547, 4473, 267, 689, 476, 8517, 8406, 513, 1554, 693, 6502, 2185, 547, 5216, 547, 476, 272, 267, 4968, 8406, 1142, 1554, 585, 1453, 4098, 693, 2085, 8370, 563, 25802, 3730, 4388, 593, 6484, 585, 1453, 912, 21093, 1453, 547, 3548, 519, 1318, 3536, 568, 2653, 952, 789, 2253, 1434, 4189, 6208, 693, 513, 1762, 2085, 543, 952, 789, 616, 6035, 513, 3099, 540, 2635, 3536, 269, 3509, 2835, 267, 17476, 267, 543, 1357, 4609, 2709, 4388, 593, 1818, 2635, 3536, 4277, 269, 2368, 10372, 585, 1142, 1426, 1895, 1246, 563, 1700, 3694, 338, 267, 24799, 267, 543, 2250, 553, 1519, 2898, 10286, 3694, 338, 267, 5667, 11548, 2989, 24799, 267, 796, 10915, 1441, 7573, 267, 2898, 10286, 11523, 619, 267, 8970, 30103, 267, 7573, 25394, 454, 1700, 10448, 32122, 689, 11273, 610, 6151, 5388, 971, 607, 607, 32651, 267, 581, 1115, 267, 22282, 267, 17436, 267, 8970, 267, 3039, 543, 2699, 18717, 267, 3039, 10365, 267, 25989, 267, 17112, 267, 22481, 267, 23601, 267, 6653, 15837, 267, 16603, 267, 1990, 1075, 577, 7236, 267, 610, 10448, 10433, 454, 1700, 1434, 4829, 5079, 971, 607, 13212, 267, 13212, 879, 576, 267, 20397, 267, 18085, 531, 537, 701, 267, 3284, 878, 1824, 267, 890, 2851, 267, 5667, 11548, 2989, 4829, 15483, 18571, 267, 726, 4548, 267, 18812, 26258, 267, 737, 12685, 328, 267, 22060, 1149, 267, 22229, 267, 1216, 28447, 267, 543, 4195, 4829, 23238, 454, 1700, 5144, 267, 1970, 19339, 15446, 584, 1206, 543, 29380, 525, 616, 1434, 10683, 2959, 267, 607, 616, 1970, 19339, 32119, 10381, 267, 8169, 731, 267, 4672, 5144, 267, 543, 17573, 4672, 8645, 32122, 454, 1700, 5779, 267, 3165, 267, 16738, 267, 543, 1850, 2541, 5079, 1331, 10709, 16469, 267, 12015, 10365, 267, 24113, 7423, 267, 32729, 267, 12015, 17112, 267, 21378, 2812, 267, 31949, 267, 543, 4389, 19339, 4411, 11912, 454, 2414, 2569, 3170, 538, 513, 1126, 779, 2732, 267, 3237, 666, 6467, 547, 1970, 19339, 610, 1875, 19339, 5144, 282, 4894, 2960, 689, 16738, 610, 16013, 3170, 689, 2699, 5779, 282, 2569, 946, 540, 5768, 25978, 543, 7423, 282, 946, 1970, 19339, 5986, 2409, 971, 607, 11256, 267, 2156, 4979, 267, 543, 2848, 5446, 282, 543, 4196, 3536, 3638, 538, 6775, 269, 18610, 25235, 666, 2087, 6775, 538, 2732, 267, 607, 666, 4946, 27046, 610, 10568, 4839, 547, 19323, 3536, 269, 6153, 267, 2653, 3562, 12431, 574, 30968, 2959, 540, 7513, 585, 1453, 267, 16310, 5144, 543, 29380, 525, 267, 616, 31949, 1500, 609, 7513, 23253, 282, 17339, 1500, 609, 3165, 267, 535, 25717, 610, 14132, 7633, 543, 835, 29537, 540, 9174, 16693, 547, 2721, 856, 519, 7513, 883, 519, 26185, 282, 27574, 13687, 543, 521, 731, 1149, 609, 7633, 282, 28140, 877, 5452, 543, 512, 1695, 7236, 630, 3033, 28140, 877, 6079, 7423, 5148, 10365, 543, 10808, 282, 7513, 1922, 677, 1881, 4195, 10538, 10433, 282, 16719, 267, 2523, 22282, 267, 2458, 1841, 267, 25989, 267, 28401, 267, 2490, 760, 25568, 267, 16163, 2917, 267, 1216, 322, 816, 543, 546, 28888, 542, 282, 543, 11273, 4262, 5388, 952, 1453, 899, 873, 563, 18744, 519, 3170, 30320, 630, 5115, 762, 540, 1373, 15702, 538, 3170, 610, 3282, 264, 8324, 589, 267, 667, 267, 298, 663, 661, 723, 2427, 2360, 602, 616, 5732, 267, 1498, 10355, 267, 6757, 630, 17763, 2581, 748, 1040, 769, 741, 1433, 634, 7464, 12192, 1299, 25115, 3883, 267, 15593, 328, 17389, 828, 2006, 543, 27211, 5696, 12941, 1533, 267, 2048, 8072, 763, 5013, 616, 602, 1152, 513, 1906, 8324, 543, 6886, 723, 1022, 1634, 6757, 885, 267, 782, 540, 799, 616, 31181, 267, 609, 519, 9868, 540, 6171, 667, 269, 32506, 666, 581, 5739, 952, 596, 1491, 2614, 540, 621, 1765, 16838, 6986, 1216, 269, 1809, 8324, 543, 6886, 616, 1851, 519, 32343, 6878, 593, 3618, 563, 763, 5666, 2877, 547, 1831, 6757, 616, 11999, 10200, 685, 1358, 1039, 602, 1373, 593, 6646, 610, 2348, 513, 2564, 2783, 666, 3310, 6171, 26553, 1968, 4170, 543, 5815, 602, 950, 835, 779, 10629, 568, 711, 1134, 268, 951, 539, 538, 6484, 267, 621, 568, 4998, 547, 723, 1864, 960, 609, 513, 11727, 6484, 626, 563, 4415, 2543, 547, 6171, 667, 267, 789, 5815, 267, 2048, 8072, 6097, 547, 1896, 2090, 267, 909, 547, 476, 272, 267, 1822, 594, 308, 829, 1554, 540, 6171, 667, 5526, 547, 581, 2922, 269, 5637, 519, 6225, 543, 8801, 2360, 540, 23630, 713, 2179, 616, 11786, 269, 3683, 323, 3151, 540, 6171, 667, 568, 26464, 543, 949, 581, 14603, 269, 12580, 540, 1932, 1454, 6171, 667, 616, 15353, 267, 2530, 540, 14031, 267, 15677, 267, 13165, 267, 9854, 267, 1964, 16531, 267, 543, 18287, 2305, 540, 519, 2571, 8031, 630, 1231, 20107, 18654, 20919, 538, 5160, 264, 540, 519, 9641, 543, 519, 14401, 267, 607, 1134, 607, 519, 7633, 10200, 685, 12192, 667, 630, 6110, 594, 308, 264, 568, 2356, 4421, 609, 6171, 589, 630, 276, 267, 1822, 594, 308, 264, 538, 513, 6263, 16979, 610, 23555, 563, 299, 773, 828, 2006, 543, 5696, 12941, 2161, 602, 3742, 6171, 589, 689, 3165, 6797, 3282, 610, 10991, 5493, 2466, 622, 568, 6740, 538, 519, 6797, 282, 602, 476, 1428, 267, 1822, 594, 308, 1131, 2014, 2042, 538, 12256, 282, 855, 602, 476, 1911, 267, 1822, 594, 308, 540, 3742, 6171, 589, 1131, 723, 547, 581, 3144, 3232, 585, 3275, 1354, 1022, 4191, 540, 17219, 630, 8063, 540, 1373, 20715, 264, 2408, 269, 12192, 589, 538, 519, 1106, 540, 12498, 21307, 582, 2940, 666, 581, 3144, 1510, 1022, 1981, 540, 17219, 269, 2311, 13066, 540, 476, 8517, 1700, 272, 267, 1220, 594, 308, 829, 1554, 267, 17389, 828, 2006, 270, 5696, 12941, 1336, 1100, 1134, 1673, 29545, 17219, 540, 6171, 661, 269, 2311, 13066, 540, 936, 476, 272, 267, 1220, 594, 308, 829, 1554, 267, 8801, 2360, 971, 607, 6366, 18834, 267, 13165, 267, 15353, 267, 15677, 267, 2295, 27621, 14591, 267, 543, 535, 31021, 723, 1044, 4080, 267, 855, 941, 4625, 31181, 950, 18262, 729, 4389, 269, 12192, 918, 568, 3362, 5833, 676, 519, 1560, 689, 513, 2635, 2732, 543, 19518, 616, 4686, 267, 2523, 538, 1453, 269, 898, 568, 2016, 605, 29091, 716, 1227, 547, 20169, 12256, 547, 2061, 20178, 720, 543, 1354, 6391, 547, 1004, 609, 1973, 12641, 31857, 2042, 269, 17389, 828, 2006, 20324, 337, 12941, 4766, 519, 2101, 1198, 540, 1932, 1454, 6171, 918, 553, 606, 17350, 1141, 2699, 1973, 2281, 5884, 811, 3533, 982, 8912, 543, 3112, 581, 8719, 676, 519, 1560, 269, 0, 14549, 885, 15955, 3778, 1299, 9177, 7395, 27932, 700, 6511, 21701, 281, 21988, 6355, 30513, 538, 519, 13343, 18844, 16527, 9523, 4469, 760, 4580, 19478, 7179, 5192, 1399, 16103, 1315, 12448, 623, 2096, 1315, 16685, 10387, 3778, 1299, 9177, 3979, 1977, 3778, 12830, 22955, 634, 4563, 15213, 26647, 24327, 11683, 22955, 543, 15638, 6406, 7126, 634, 26323, 540, 26913, 1299, 589, 2513, 819, 21540, 12198, 543, 13343, 18844, 1977, 3778, 3979, 3778, 9147, 3778, 543, 9177, 7489, 3778, 3864, 3778, 2637, 7002, 9609, 769, 6761, 5824, 1977, 3778, 19744, 1299, 11193, 3778, 13639, 3778, 634, 476, 736, 628, 11416, 6468, 781, 3778, 7348, 2859, 1635, 12339, 328, 11066, 3979, 1977, 3778, 16869, 631, 2529, 9950, 323, 267, 18520, 4065, 267, 853, 269, 3627, 781, 2160, 631, 12171, 6993, 1421, 11300, 5675, 267, 4975, 5441, 540, 1715, 3840, 645, 6993, 1421, 2296, 267, 4975, 5441, 540, 1715, 3840, 12339, 328, 11066, 568, 513, 5856, 543, 19829, 945, 24870, 538, 3979, 1977, 1686, 3584, 267, 1519, 17760, 29713, 267, 17933, 267, 543, 519, 31222, 11193, 269, 938, 21107, 1184, 12339, 328, 11066, 21213, 5437, 476, 1428, 267, 476, 1708, 271, 7395, 27932, 700, 6511, 21701, 2899, 1767, 267, 834, 296, 993, 540, 519, 6644, 1496, 7474, 316, 952, 649, 666, 6952, 519, 5075, 267, 538, 513, 1906, 1296, 649, 4927, 581, 2111, 547, 2972, 519, 5613, 689, 713, 4674, 543, 922, 7390, 656, 9021, 267, 998, 2150, 1245, 2640, 556, 9464, 676, 519, 6107, 540, 519, 5198, 1701, 21701, 729, 519, 1101, 1977, 4807, 734, 1993, 1022, 5198, 734, 1729, 581, 513, 4871, 7022, 543, 6273, 4563, 4892, 547, 1831, 1582, 1606, 11211, 11639, 269, 1306, 513, 1246, 518, 540, 3883, 518, 570, 269, 6115, 779, 6138, 540, 834, 4751, 1524, 707, 19943, 1141, 596 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5325, 269, 589, 8799, 1491, 593, 519, 1360, 2241, 1957, 11680, 1976, 9564, 269, 1452, 7880, 9564, 7433, 595, 5725, 666, 581, 1031, 538, 14298, 631, 3198, 312, 1114, 2081, 1107, 689, 713, 2241, 3440, 19184, 3014, 267, 547, 2965, 6704, 1216, 689, 873, 267, 547, 16304, 476, 2190, 538, 513, 4737, 543, 1818, 707, 1378, 7880, 9564, 13491, 11706, 907, 865, 1082, 7399, 543, 835, 2653, 1957, 7484, 7880, 9564, 4739, 2336, 291, 541, 4897, 548, 667, 636, 2632, 1900, 676, 1900, 267, 476, 1001, 279, 268, 6349, 268, 6734, 476, 5400, 281, 2190, 281, 2420, 269, 901, 1976, 9564, 4216, 267, 3501, 585, 17711, 610, 16152, 267, 568, 7148, 1229, 693, 519, 1283, 267, 1818, 4376, 3330, 3251, 2322, 269, 1452, 616, 2653, 547, 1246, 1900, 676, 1900, 5528, 269, 1452, 1491, 513, 3787, 3476, 982, 513, 2834, 16549, 340, 4216, 267, 855, 519, 1439, 1267, 568, 4502, 519, 942, 269, 6333, 1818, 891, 607, 5428, 7957, 832, 585, 513, 2027, 2680, 563, 10481, 3073, 527, 974, 9677, 527, 974, 26847, 267, 476, 1001, 279, 268, 6349, 268, 6860, 476, 5400, 281, 5655, 281, 4391, 269, 7880, 9564, 568, 513, 1187, 1148, 540, 1818, 3860, 1919, 676, 24208, 4574, 269, 2659, 1126, 666, 1451, 547, 1118, 1114, 13742, 899, 2831, 267, 8768, 267, 4054, 267, 10833, 543, 1082, 824, 16560, 3688, 676, 1210, 2241, 2553, 540, 2653, 1976, 9564, 585, 3214, 269, 2659, 4819, 666, 2972, 713, 4739, 2534, 1510, 519, 3573, 946, 540, 15441, 543, 23805, 563, 295, 10042, 790, 18466, 5172, 1976, 9564, 267, 476, 1001, 279, 268, 6349, 268, 1691, 476, 866, 281, 7906, 281, 6734, 269, 13298, 982, 1175, 1603, 1055, 1976, 9564, 607, 1175, 1945, 19252, 1004, 798, 538, 1362, 267, 2638, 856, 713, 1592, 267, 799, 568, 2407, 540, 1976, 9564, 596, 666, 946, 538, 4948, 1272, 269, 5455, 341, 1774, 519, 1034, 5363, 1259, 547, 946, 1976, 9564, 543, 1205, 24208, 2336, 10481, 3073, 527, 974, 9677, 527, 974, 5172, 1976, 9564, 267, 476, 1001, 279, 268, 6349, 268, 5400, 476, 866, 281, 1015, 281, 4375, 269, 7880, 9564, 17547, 5163, 568, 606, 14318, 4480, 547, 1118, 513, 9308, 26203, 1976, 9564, 3631, 2408, 547, 1847, 593, 922, 1378, 269, 634, 2203, 568, 6410, 538, 1507, 1213, 906, 1063, 14350, 13227, 1117, 14604, 267, 2870, 519, 21903, 540, 3350, 950, 519, 3126, 540, 14604, 568, 5129, 607, 513, 6024, 5311, 563, 12179, 1543, 267, 22028, 4882, 267, 610, 824, 1570, 602, 1522, 581, 1336, 593, 713, 3135, 602, 568, 711, 713, 3135, 3959, 3788, 519, 10677, 540, 922, 9757, 8227, 4882, 269, 769, 1100, 1259, 1281, 667, 1054, 984, 2421, 3409, 9562, 610, 5539, 585, 971, 3688, 267, 543, 596, 1058, 3343, 3656, 9844, 585, 1022, 946, 540, 971, 2326, 689, 922, 8227, 269, 0, 17556, 1597, 6754, 22868, 729, 4535, 593, 5988, 476, 2190, 267, 476, 4198, 276, 538, 5842, 12770, 269, 3571, 6211, 3237, 2322, 1864, 909, 585, 10073, 269, 19378, 543, 27262, 22868, 7550, 1864, 269, 2991, 513, 7008, 540, 1296, 538, 5842, 12770, 646, 543, 1010, 1920, 6410, 547, 13738, 7348, 4993, 269, 22868, 8057, 909, 538, 513, 8378, 540, 8030, 269, 901, 6273, 1864, 547, 1831, 513, 23266, 269, 2311, 519, 2085, 540, 476, 1724, 267, 646, 1558, 22868, 654, 9926, 14269, 752, 606, 476, 1240, 1032, 2025, 2780, 2637, 3780, 563, 26668, 1296, 2663, 267, 22868, 4280, 1010, 3237, 952, 646, 1223, 18934, 538, 32149, 5441, 267, 855, 1010, 3237, 1223, 711, 2731, 6488, 621, 269, 1717, 789, 1185, 16219, 1010, 6211, 3237, 789, 1131, 2285, 1864, 513, 2852, 2069, 865, 789, 5795, 538, 269, 22868, 1152, 6170, 835, 19496, 693, 32149, 5441, 1354, 646, 12628, 856, 540, 1153, 267, 543, 6410, 547, 513, 20361, 773, 2146, 538, 14822, 267, 1141, 646, 16916, 13212, 563, 288, 7008, 540, 1296, 2663, 646, 8120, 547, 4993, 547, 4019, 585, 513, 2816, 269, 1261, 3893, 513, 2816, 693, 2311, 926, 630, 320, 3381, 3014, 2754, 799, 849, 1500, 2123, 5904, 1040, 19378, 654, 9926, 14269, 752, 1010, 3659, 267, 849, 5249, 693, 2311, 926, 269, 2060, 519, 2724, 646, 12236, 689, 2311, 926, 646, 3576, 513, 7552, 547, 3127, 547, 834, 572, 2131, 21481, 2668, 1879, 646, 3357, 1394, 646, 3323, 2921, 811, 1719, 538, 5904, 563, 310, 9926, 14269, 752, 3323, 2469, 547, 519, 5851, 11119, 8950, 11833, 543, 3893, 865, 1454, 1702, 972, 602, 646, 1223, 1628, 1010, 1378, 2780, 4604, 269, 22868, 18617, 1864, 547, 1118, 513, 2754, 269, 634, 3312, 3483, 540, 11197, 729, 585, 1004, 945, 4941, 547, 2328, 513, 3301, 1510, 7011, 1782, 513, 2780, 269, 11197, 3323, 593, 4989, 476, 272, 560, 267, 476, 3192, 277, 563, 1103, 519, 1985, 7008, 540, 3275, 22868, 543, 310, 9926, 14269, 752, 3710, 2780, 12545, 1572, 519, 11197, 594, 269, 2991, 519, 11197, 594, 1705, 711, 6133, 1932, 1134, 654, 9926, 14269, 752, 3323, 960, 593, 519, 11197, 4083, 513, 2780, 602, 1223, 723, 2681, 12449, 269, 1879, 519, 11197, 4083, 3357, 856, 621, 16760, 519, 6735, 269, 634, 6455, 1500, 22868, 543, 654, 9926, 14269, 752, 2929, 320, 2231, 269, 2991, 713, 5458, 1967, 11197, 4682, 1857, 269, 2334, 2799, 22868, 2121, 4502, 547, 476, 1220, 2929, 563, 7343, 548, 5950, 519, 11197, 8633, 799, 1166, 641, 6244, 269, 2311, 602, 942, 22126, 1500, 741, 1378, 2780, 267, 519, 7887, 3463, 547, 11197, 2943, 789, 12479, 789, 1223, 2097, 1394, 609, 834, 299, 13453, 257, 513, 2780, 3957, 1310, 22868, 8250, 269, 1879, 22868, 729, 2324, 593, 11197, 646, 729, 6580, 513, 8004, 3957, 18281, 2335, 645, 1066, 22974, 269, 1879, 789, 941, 6580, 1352, 1185, 513, 4816, 543, 22868, 15189, 547, 3398, 602, 646, 729, 519, 4651, 269, 1261, 1705, 711, 2285, 1022, 2724, 630, 2288, 646, 1185, 6634, 264, 547, 1200, 610, 1200, 4816, 269, 634, 4816, 729, 1572, 23436, 563, 2691, 22868, 729, 2324, 593, 23436, 646, 729, 14736, 539, 1055, 519, 1788, 269, 1261, 729, 9663, 1190, 543, 646, 3323, 513, 1007, 1788, 1572, 5839, 842, 9655, 602, 729, 2469, 547, 581, 513, 10464, 1587, 543, 607, 2653, 547, 946, 607, 513, 547, 2120, 269, 1280, 519, 1985, 1614, 1296, 454, 297, 10849, 5249, 7920, 569, 543, 21087, 1242, 519, 4600, 593, 519, 23436, 269, 11197, 7691, 519, 23436, 1788, 729, 2469, 547, 581, 1776, 1166, 641, 543, 519, 2754, 3323, 547, 1445, 593, 519, 5839, 842, 9655, 2311, 519, 8111, 11312, 331, 789, 5950, 5672, 842, 9655, 269, 1280, 519, 1101, 1906, 3275, 621, 729, 1360, 3811, 855, 676, 476, 2735, 276, 6455, 12628, 563, 297, 10849, 729, 1629, 6838, 267, 1185, 1100, 1483, 1379, 646, 1223, 711, 960, 593, 519, 5904, 15042, 865, 646, 3323, 1818, 513, 2780, 2754, 1572, 3026, 311, 307, 267, 585, 519, 2362, 13473, 269, 11197, 12219, 547, 1862, 0, 1607, 2783, 267, 7363, 2404, 609, 1978, 1418, 2684, 6664, 919, 543, 711, 16087, 600, 919, 899, 16087, 776, 331, 267, 3123, 8229, 23979, 543, 26900, 540, 7916, 610, 7953, 1896, 4374, 1310, 4598, 563, 2691, 1486, 9926, 15351, 5095, 616, 7166, 267, 2242, 2049, 538, 519, 4551, 5095, 593, 799, 519, 1486, 9926, 334, 753, 3049, 267, 4611, 538, 513, 834, 29455, 22629, 257, 540, 519, 2702, 547, 31693, 2030, 1570, 563, 301, 984, 1328, 15055, 621, 950, 2576, 568, 3843, 547, 834, 11988, 257, 741, 1259, 883, 513, 6643, 543, 1256, 519, 1655, 11968, 13353, 28153, 15818, 814, 4440, 1044, 15490, 569, 15034, 540, 1373, 513, 21431, 2899, 610, 7466, 269, 19750, 2238, 616, 711, 1175, 30973, 543, 1187, 281, 3047, 11988, 13343, 267, 513, 2706, 268, 12516, 3618, 11988, 538, 513, 536, 31020, 9290, 267, 729, 513, 5458, 569, 3811, 3381, 3014, 5950, 593, 1082, 5867, 563, 763, 1449, 525, 267, 689, 2185, 547, 476, 1015, 8424, 267, 616, 11231, 676, 12415, 267, 4098, 609, 10126, 476, 1321, 610, 3047, 11988, 2249, 616, 3622, 19040, 13476, 607, 1373, 2901, 3134, 15607, 545, 267, 1439, 334, 613, 545, 267, 543, 606, 1815, 545, 563, 763, 24725, 1973, 6077, 568, 13883, 1657, 519, 8937, 543, 568, 1419, 7298, 608, 27238, 998, 519, 2960, 607, 513, 4158, 1899, 1524, 519, 1394, 540, 519, 21431, 269, 1635, 16299, 26943, 6975, 689, 18582, 338, 976, 267, 645, 563, 5445, 12492, 2407, 2450, 538, 827, 835, 1032, 269, 3683, 3368, 540, 782, 1634, 6366, 11988, 2249, 15107, 344, 25030, 842, 1127, 616, 26220, 543, 930, 798, 11999, 2800, 547, 3425, 543, 741, 13184, 563, 1103, 3592, 782, 2665, 267, 16087, 776, 331, 568, 1312, 8650, 569, 6757, 543, 3123, 513, 3099, 540, 1016, 548, 11209, 2360, 269, 24296, 712, 1027, 1570, 949, 581, 13934, 543, 6569, 563, 7197, 4874, 15939, 26347, 543, 23731, 5255, 320, 26347, 666, 16956, 4733, 513, 1007, 2766, 269, 901, 3123, 519, 21431, 547, 2110, 523, 1360, 3533, 607, 606, 3801, 547, 9101, 689, 513, 23246, 610, 824, 1761, 3463, 269, 1703, 616, 849, 1614, 9649, 4949, 976, 821, 31443, 9649, 4949, 517, 631, 16598, 543, 1079, 14694, 9649, 4949, 976, 9437, 2026, 593, 16511, 558, 10056, 540, 3618, 11988, 4571, 1673, 832, 531, 2427, 540, 519, 5887, 1537, 8229, 10260, 563, 26213, 26290, 2940, 267, 10758, 25439, 281, 10965, 1389, 946, 13447, 2088, 21525, 10056, 585, 3001, 7444, 538, 25310, 267, 1934, 519, 13131, 3124, 919, 538, 2909, 1424, 2694, 540, 922, 1560, 593, 621, 27788, 269, 634, 7060, 540, 20344, 616, 3152, 538, 519, 4874, 15939, 26347, 543, 2539, 23731, 5255, 320, 26347, 982, 538, 519, 2362, 23731, 5255, 320, 26347, 282, 682, 16696, 3668, 519, 2702, 547, 16956, 4733, 563, 763, 15118, 2388, 1063, 30240, 2281, 2270, 3728, 5122, 5348, 22663, 683, 343, 4926, 602, 1450, 519, 5122, 5365, 547, 6385, 2951, 689, 835, 1591, 547, 1776, 593, 922, 1259, 1524, 519, 4949, 517, 269, 634, 856, 25958, 4494, 568, 513, 2582, 4494, 540, 6366, 25853, 2281, 602, 616, 851, 540, 519, 829, 32050, 636, 519, 16298, 540, 519, 1071, 601, 558, 563, 24618, 19095, 616, 14747, 585, 12440, 8038, 16793, 267, 4171, 2937, 5933, 616, 7622, 562, 7572, 766, 10860, 269, 700, 1872, 19095, 543, 20910, 849, 946, 1463, 6329, 269, 634, 14228, 20377, 540, 519, 1101, 1614, 12415, 616, 535, 4310, 1927, 547, 1106, 513, 2634, 16922, 540, 835, 6292, 540, 1016, 14428, 31099, 14228, 20377, 5887, 1537, 538, 2990, 267, 9944, 519, 943, 28449, 540, 519, 8937, 543, 835, 6292, 540, 19548, 14228, 20377, 1657, 519, 8937, 563, 763, 5214, 25985, 540, 3653, 2451, 1310, 12536, 676, 3618, 19095, 616, 17941, 5641, 338, 610, 5641, 902, 269, 15661, 602, 1106, 588, 565, 976, 6565, 1087, 1276, 607, 519, 11382, 1749, 267, 610, 4171, 17911, 1439, 9397, 1055, 267, 971, 607, 519, 5493, 23383, 267, 616, 5827, 540, 18110, 519, 1184, 282, 855, 519, 1297, 540, 2053, 543, 519, 3259, 540, 942, 789, 616, 2111, 547, 798, 865, 723, 711, 1044, 3964, 563, 763, 1560, 568, 4988, 676, 513, 4494, 540, 22024, 602, 11151, 621, 689, 9561, 1932, 1454, 1216, 547, 519, 1604, 563, 763, 13285, 602, 2196, 2059, 519, 1560, 3774, 1780, 1063, 519, 9018, 9764, 543, 6418, 19976, 4887, 6106, 540, 519, 3774, 9950, 14390, 11988, 2623, 568, 2241, 267, 543, 1034, 1169, 2460, 568, 6956, 609, 519, 9868, 540, 4947, 547, 519, 2627, 1739, 513, 4764, 269, 4107, 540, 3618, 11988, 2623, 5161, 540, 3001, 998, 519, 3037, 585, 1426, 543, 12093, 563, 15447, 333, 607, 519, 17200, 3650, 22376, 326, 267, 645, 7625, 1756, 1183, 342, 1619, 6585, 519, 2594, 585, 1158, 781, 4102, 6366, 11988, 269, 9894, 596, 917, 602, 621, 1219, 1815, 919, 689, 922, 5023, 286, 8281, 590, 680, 8531, 2494, 1496, 15697, 10794, 8943, 316, 543, 1404, 2221, 269, 674, 8962, 789, 941, 267, 547, 25500, 1141, 1702, 1058, 3251, 24193, 563, 2690, 1018, 7153, 729, 711, 513, 812, 910, 621, 729, 513, 590, 680, 8531, 2494, 269, 834, 4517, 782, 945, 4718, 1864, 941, 10943, 10757, 267, 585, 646, 729, 519, 3595, 543, 789, 941, 855, 5779, 1701, 3245, 3828, 13554, 623, 31242, 10632, 267, 17354, 540, 519, 8366, 10888, 834, 763, 631, 1177, 2580, 2501, 269, 3502, 1152, 547, 2417, 4434, 4540, 3075, 6765, 1949, 855, 849, 547, 13918, 519, 991, 585, 8901, 268, 13796, 268, 543, 18262, 22306, 5305, 267, 621, 568, 1271, 547, 1174, 519, 1699, 2591, 538, 519, 2361, 563, 290, 16800, 2910, 7838, 10345, 590, 4932, 2464, 9898, 910, 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 ]
[ 563, 763, 772, 1186, 728, 2960, 568, 1767, 547, 581, 3812, 5488, 982, 602, 540, 1022, 8013, 1587, 543, 814, 7829, 4162, 9053, 676, 23262, 563, 763, 8136, 968, 529, 20938, 547, 1683, 5583, 547, 772, 1186, 728, 4437, 27370, 3098, 607, 621, 4044, 919, 519, 772, 2529, 269, 15111, 13170, 1184, 585, 513, 3209, 2960, 10682, 1587, 2223, 1767, 19626, 13177, 267, 1587, 9614, 585, 519, 570, 22568, 28864, 543, 3204, 17654, 6925, 5741, 5004, 8433, 693, 519, 772, 2529, 269, 8136, 6481, 631, 831, 1408, 4886, 11314, 563, 289, 1248, 16398, 689, 30762, 543, 594, 3633, 338, 3136, 547, 20575, 10136, 538, 2112, 10851, 543, 2272, 585, 513, 1804, 6712, 540, 3013, 779, 25096, 267, 7194, 1397, 563, 22154, 1587, 949, 1683, 513, 2565, 3070, 538, 519, 2126, 540, 3028, 2818, 945, 723, 13455, 4049, 17236, 2223, 13177, 3773, 269, 968, 5978, 3804, 568, 547, 948, 772, 1186, 728, 1847, 713, 1587, 607, 3533, 543, 607, 9108, 607, 2009, 998, 519, 9431, 1184, 267, 865, 621, 568, 2139, 547, 938, 20754, 3028, 2818, 3034, 763, 5794, 10414, 568, 3168, 547, 5372, 519, 589, 268, 1015, 774, 8974, 2513, 339, 4083, 269, 634, 1966, 568, 267, 835, 540, 519, 14742, 602, 789, 2461, 12334, 532, 607, 513, 3119, 10682, 267, 519, 674, 268, 3374, 267, 568, 711, 2938, 607, 513, 2673, 25101, 1489, 6177, 269, 769, 606, 4674, 547, 2263, 824, 3681, 267, 972, 779, 519, 29314, 29930, 6735, 269, 1924, 2484, 267, 3007, 814, 1044, 5097, 5059, 593, 1614, 540, 519, 2185, 15712, 281, 634, 11083, 268, 277, 26728, 591, 710, 267, 519, 11083, 268, 3066, 8111, 570, 1075, 8457, 267, 543, 519, 7956, 1258, 5794, 27455, 2480, 23705, 542, 563, 2467, 729, 513, 8772, 7077, 602, 22821, 1406, 1044, 8385, 2808, 267, 855, 519, 5794, 10414, 4547, 621, 2059, 269, 2334, 8772, 4781, 568, 519, 5794, 307, 847, 528, 11083, 268, 26764, 308, 7043, 1873, 867, 269, 634, 15670, 540, 713, 7077, 267, 799, 568, 1759, 593, 513, 4922, 268, 4310, 7693, 706, 3122, 267, 3100, 547, 1589, 602, 621, 568, 519, 1655, 3903, 547, 5372, 1018, 779, 2808, 519, 1655, 2673, 25101, 1489, 7077, 547, 723, 2479, 2095, 333, 269, 2913, 779, 1491, 513, 1413, 267, 4927, 649, 888, 300, 26090, 15542, 800, 2593, 4967, 602, 713, 7077, 814, 1044, 1472, 2094, 476, 1960, 271, 269, 898, 814, 513, 1283, 3432, 540, 476, 21854, 5195, 829, 5662, 543, 513, 5021, 2039, 540, 476, 26764, 5195, 269, 634, 4108, 8747, 666, 4163, 827, 476, 280, 267, 1822, 6550, 540, 31139, 269, 1924, 267, 621, 11438, 10199, 1018, 519, 7956, 1258, 2480, 23705, 542, 666, 267, 855, 621, 779, 14887, 543, 666, 1406, 8038, 607, 2484, 563, 763, 11083, 268, 26764, 308, 1281, 723, 519, 2702, 547, 7500, 689, 13897, 9897, 543, 1561, 14876, 513, 1009, 686, 1186, 267, 2687, 547, 513, 2156, 577, 675, 3177, 676, 5794, 307, 847, 528, 269, 634, 7077, 568, 5827, 540, 20590, 589, 14875, 268, 14625, 18774, 13933, 28862, 543, 8955, 28621, 3660, 23038, 269, 898, 849, 24502, 1079, 1547, 2004, 23343, 9200, 717, 520, 1782, 15963, 609, 513, 2698, 540, 476, 273, 267, 12010, 21448, 540, 993, 15879, 269, 2201, 922, 1378, 267, 602, 5654, 899, 930, 11141, 3595, 12741, 267, 855, 621, 533, 2297, 538, 6476, 547, 519, 589, 268, 1015, 267, 799, 24502, 476, 272, 267, 14690, 21448, 540, 476, 1789, 7825, 993, 15879, 602, 666, 6146, 513, 7382, 563, 763, 1249, 568, 267, 607, 654, 2969, 300, 814, 7074, 1354, 267, 9039, 540, 891, 14742, 2731, 3142, 3388, 547, 519, 3349, 899, 519, 589, 268, 1015, 269, 634, 589, 268, 1015, 949, 581, 835, 540, 1346, 14742, 267, 899, 519, 595, 268, 9873, 267, 602, 666, 1152, 581, 8719, 676, 513, 18960, 267, 811, 24037, 4528, 540, 3294, 563, 9596, 811, 827, 519, 7693, 706, 3122, 602, 814, 1642, 16272, 540, 13868, 519, 589, 268, 1015, 676, 8384, 519, 3381, 2630, 563, 7712, 519, 4571, 268, 4198, 271, 338, 267, 519, 2475, 5794, 10414, 779, 772, 268, 273, 22900, 15248, 814, 1044, 2267, 2358, 519, 5580, 10301, 540, 519, 5790, 267, 2879, 334, 14563, 3592, 11207, 29462, 563, 4407, 519, 5692, 568, 7168, 1454, 519, 1482, 267, 519, 8484, 3257, 621, 616, 1454, 1114, 563, 10527, 2048, 308, 685, 538, 772, 268, 273, 6763, 585, 2048, 583, 1006, 16224, 865, 513, 2603, 540, 1004, 616, 899, 267, 2048, 10498, 267, 476, 4198, 276, 267, 1018, 616, 649, 3257, 538, 476, 1001, 280, 267, 950, 649, 2461, 10760, 674, 268, 3374, 338, 543, 674, 268, 2420, 338, 2560, 1946, 616, 649, 10760, 519, 772, 268, 273, 602, 729, 3710, 538, 476, 4198, 276, 286, 262, 892, 20727, 269, 3004, 6665, 968, 299, 1030, 1399, 892, 4793, 1562, 517, 267, 513, 772, 268, 273, 12681, 267, 1767, 1282, 606, 2680, 18799, 676, 519, 5794, 10414, 538, 2904, 693, 519, 2271, 516, 3671, 7256, 267, 5794, 267, 543, 6611, 7467, 538, 1715, 3840, 4975, 563, 2108, 28074, 899, 519, 4856, 557, 12076, 267, 799, 814, 1044, 1472, 585, 513, 1279, 942, 267, 972, 779, 1044, 513, 2603, 540, 1114, 8747, 540, 1496, 1492, 772, 268, 273, 316, 2223, 4793, 1562, 517, 1767, 269, 968, 763, 772, 268, 273, 338, 602, 649, 8038, 1631, 267, 789, 941, 782, 3710, 538, 827, 519, 4571, 268, 685, 3199, 338, 3034, 10527, 32062, 616, 2965, 7168, 1007, 2223, 772, 268, 273, 12681, 20727, 269, 20917, 968, 12749, 892, 10878, 3861, 1767, 693, 519, 2680, 269, 968, 5445, 2461, 513, 2603, 18960, 982, 1004, 18783, 267, 1256, 1498, 621, 779, 1044, 10760, 585, 811, 982, 476, 2568, 1296, 3034, 763, 2063, 540, 519, 3312, 16801, 540, 772, 268, 273, 288, 8484, 693, 519, 2475, 5794, 10414, 7467, 563, 263, 4785, 5794, 10414, 994, 8072, 2005, 779, 1175, 519, 2012, 568, 2025, 20371, 763, 772, 268, 273, 288, 729, 519, 1101, 547, 8038, 267, 950, 922, 7372, 12209, 18417, 5828, 513, 1164, 18286, 3454, 328, 1449, 883, 513, 8184, 1449, 538, 4864, 476, 4198, 276, 269, 898, 729, 4553, 676, 519, 772, 268, 273, 290, 267, 799, 1185, 513, 1007, 2599, 563, 2414, 7753, 2039, 7687, 267, 519, 5794, 10414, 543, 519, 31835, 28459, 1540, 772, 268, 273, 2026, 543, 772, 268, 273, 12336, 585, 19666, 1201, 3241, 532, 282, 789, 2968, 772, 268, 273, 19324, 543, 772, 268, 273, 22661, 267, 2687, 547, 634, 20000, 563, 1103, 519, 2038, 476, 3422, 271, 338, 267, 519, 7287, 585, 811, 2039, 3366, 547, 519, 1646, 540, 15298, 32728, 762, 14726, 269, 8092, 532, 593, 513, 15298, 267, 9863, 4101, 267, 1498, 267, 543, 1896, 772, 268, 273, 2026, 941, 9168, 609, 6793, 13941, 10591, 267, 606, 10654, 532, 13622, 267, 543, 13617, 27253, 619, 547, 6175, 12740, 269, 1452, 2968, 519, 772, 268, 273, 294, 543, 772, 268, 273, 295, 563, 763, 772, 268, 273, 305, 267, 799, 1101, 24363, 538, 476, 3422, 278, 267, 729, 476, 2412, 260, 3677, 982, 519, 3312, 543, 1185, 13617, 10540, 338, 547, 4163, 811, 8596, 543, 4492, 267, 3850, 585, 1164, 268, 5306, 3363, 1796, 11325, 13178, 269, 630, 763, 772, 268, 273, 305, 729, 7318, 585, 15298, 4238, 267, 855, 513, 17189, 14583, 540, 519, 772, 268, 273, 2760, 9411, 3028, 8094, 288, 772, 268, 273, 593, 519, 8184, 16064, 540, 519, 8484, 15298, 2475, 306, 3013, 563, 763, 2063, 772, 268, 273, 305, 8452, 538, 476, 2735, 280, 267, 543, 2094, 476, 1960, 275, 519, 2475, 814, 6170, 7329, 284, 892, 4289, 1834, 268, 28091, 6434, 278, 6858, 273, 277, 16357, 269, 278, 5479, 547, 2413, 1125, 519, 2011, 18134, 543, 8596, 269, 2991, 519, 23817, 674, 14093, 268, 6200, 2599, 729, 3773, 538, 519, 3735, 476, 1960, 271, 338, 267, 782, 772, 268, 273, 338, 941, 2699, 30472, 730, 607, 772, 268, 273, 306, 267, 519, 1699, 14583, 563, 27001, 476, 1220, 273, 543, 476, 1220, 278, 267, 24522, 515, 539, 18175, 24612, 519, 772, 268, 273, 779, 476, 3422, 271, 338, 268, 5028, 15483, 335, 527, 1285, 542, 923, 609, 519, 26532, 18590, 2997, 542, 923, 19321, 1464, 5358, 267, 610, 20433, 303, 267, 13868, 3866, 338, 543, 12238, 2471, 609, 12947, 4233, 10525, 267, 606, 909, 1922, 3224, 1852, 543, 4159, 1770, 267, 543, 513, 6281, 8184, 16162, 2452, 1062, 267, 2687, 547, 13639, 17224, 18209, 22997, 563, 763, 1007, 10525, 941, 811, 3593, 7888, 543, 6035, 513, 1732, 2070, 540, 519, 2666, 547, 519, 12681, 267, 945, 5892, 1185, 547, 1413, 883, 513, 1804, 8546, 538, 519, 4099, 540, 519, 15483, 335, 527, 269, 20433, 303, 849, 1500, 519, 5925, 8060, 4443, 547, 3914, 563, 763, 1034, 2487, 15483, 335, 527, 18175, 10232, 941, 6192, 538, 476, 1001, 274, 267, 24522, 515, 539, 1767, 2063, 1032, 269, 4033, 12381, 723, 1044, 6083, 730, 538, 519, 1296, 2094, 267, 6322, 693, 5329, 519, 772, 268, 273, 779, 8596, 7347, 543, 14388, 563, 763, 5794, 10414, 4867, 814, 827, 476, 1789, 540, 519, 2582, 5498, 520, 772, 268, 273, 585, 13485, 543, 2185, 540, 519, 1079, 5498, 520, 570, 308, 268, 273, 267, 799, 568, 1031, 585, 2866, 267, 1759, 693, 2142, 1446, 5794, 10414, 12476, 563, 299, 339, 269, 2051, 269, 700, 1513, 32129, 2006, 538, 513, 1007, 13332, 476, 736, 772, 268, 273, 306, 267, 609, 513, 2699, 525, 11220, 15483, 335, 527, 267, 693, 14642, 534, 5794, 12476, 538, 3162, 9705, 267, 4873, 476, 736, 267, 476, 1220, 277, 563, 263, 4785, 5794, 10414, 8666, 676, 16065, 590, 25885, 1656, 16699, 12928, 644, 5459, 994, 10376, 772, 268, 273, 4991, 513, 2407, 936, 3873, 592, 1169, 476, 275, 267, 8517, 8184, 3108, 267, 610, 827, 1169, 3670, 547, 5216, 1296, 269, 5221, 519, 2011, 18134, 3085, 1406, 6108, 513, 2603, 540, 942, 896, 1164, 2566, 267, 519, 1699, 14438, 585, 513, 772, 268, 273, 568, 883, 519, 476, 14225, 271, 338, 543, 476, 13078, 271, 338, 563, 763, 5794, 10414, 1869, 814, 513, 1906, 540, 519, 772, 268, 273, 338, 3710, 519, 3735, 476, 3422, 271, 338, 267, 855, 1346, 723, 1044, 10736, 267, 4793, 1562, 517, 1767, 563, 2108, 31819, 779, 2413, 2443, 1175, 519, 2011, 18134, 3294, 3357, 856, 538, 11313, 7597, 269, 634, 2599, 267, 519, 15483, 335, 527, 779, 782, 1007, 2223, 646, 3773, 269, 968, 3719, 1034, 540, 519, 8484, 602, 649, 723, 267, 789, 2461, 782, 3710, 538, 519, 4571, 268, 685, 3199, 338, 267, 827, 519, 1482, 942, 607, 519, 645, 268, 273, 2848, 953, 17177, 828, 3034, 763, 18960, 3631, 267, 4793, 1562, 517, 1767, 267, 968, 732, 827, 476, 2412, 260, 3677, 1496, 663, 316, 3648, 811, 3532, 982, 519, 3312, 2603, 540, 772, 268, 273, 338, 602, 596, 4718, 950, 27722, 25024, 729, 10760, 936, 519, 8168, 5742, 267, 950, 519, 23162, 23828, 6433, 568, 9648, 267, 865, 621, 779, 513, 11207, 1114, 8484, 2443, 2413, 4837, 15483, 335, 527, 267, 865, 649, 723, 13819, 269, 1284, 723, 5393, 4359, 8596, 3034, 2108, 3383, 621, 779, 711, 606, 2025, 8484, 269, 898, 779, 1175, 519, 2012, 568, 2025, 3034, 288, 772, 268, 273, 267, 609, 513, 9682, 10618, 1062, 593, 922, 1394, 543, 32110, 593, 922, 17987, 267, 936, 4993, 267, 4728, 476, 2537, 267, 476, 1001, 277, 563, 263, 4785, 5794, 10414, 8666, 676, 16065, 590, 25885, 269, 7917, 631, 269, 22427, 329, 21034, 994, 8072, 16031, 269, 8000, 6737, 10361, 20371, 3528, 519, 4571, 268, 3422, 271, 338, 267, 2475, 8387, 941, 2907, 6158, 827, 1427, 3931, 519, 772, 268, 273, 267, 855, 621, 15068, 543, 814, 7979, 16556, 824, 11028, 18590, 8484, 267, 899, 519, 22804, 268, 10170, 267, 799, 941, 811, 7199, 547, 7500, 563, 19284, 15408, 267, 513, 772, 268, 273, 666, 581, 2366, 547, 9263, 693, 606, 1858, 540, 1719, 593, 5266, 2110, 5469, 269, 898, 849, 814, 5383, 936, 30313, 2740, 19666, 6472, 267, 899, 519, 681, 304, 268, 275, 6820, 8316, 330, 267, 4793, 1562, 517, 1767, 563, 2108, 2691, 596, 1589, 827, 930, 540, 519, 7207, 602, 938, 10779, 2456, 616, 2111, 547, 2322, 883, 519, 2361, 7168, 3533, 543, 7168, 10464, 569, 2443, 15870, 795, 2459, 532, 543, 1919, 899, 602, 2443, 621, 9090, 17188, 27993, 547, 723, 513, 1480, 1373, 602, 779, 2111, 547, 2746, 1483, 6066, 547, 3384, 3871, 3034, 288, 1480, 12681, 568, 849, 1732, 609, 14542, 10450, 267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 16515, 921, 3097, 628, 626, 340, 921, 815, 9497, 20625, 2580, 834, 3316, 3570, 2580, 834, 7815, 787, 273, 5602, 258, 628, 626, 340, 921, 314, 272, 316, 6889, 3316, 3570, 273, 4840, 2745, 263, 628, 626, 340, 921, 314, 272, 20285, 258, 1305, 454, 628, 1170, 564, 815, 2715, 257, 20625, 2580, 834, 3316, 3570, 2580, 834, 7815, 787, 257, 8679, 2745, 263, 628, 1170, 564, 2020, 258, 323, 5315, 3097, 10472, 18743, 815, 453, 19127, 476, 834, 25912, 9899, 834, 293, 867, 20350, 476, 834, 16347, 9899, 834, 300, 755, 836, 20350, 476, 834, 20204, 9899, 476, 3422, 275, 454, 8679, 2745, 263, 10472, 18743, 2020, 326, 728, 517, 28121, 257, 5674, 525, 9899, 273, 2437, 11243, 9899, 257, 294, 728, 517, 14824, 5586, 9899, 273, 8679, 29324, 28121, 257, 294, 728, 517, 14824, 21579, 3241, 14824, 288, 14623, 14824, 307, 11867, 14824, 307, 16951, 257, 8679, 258, 952, 575, 728, 517, 14277, 5674, 525, 19312, 13843, 476, 273, 912, 258, 476, 14851, 1053, 314, 272, 316, 2525, 257, 21579, 3241, 13426, 258, 476, 453, 13537, 263, 29324, 314, 272, 8079, 4848, 454, 258, 476, 28432, 281, 4848, 454, 258, 476, 453, 13537, 263, 29324, 314, 271, 7481, 258, 952, 575, 728, 517, 14277, 5674, 525, 19312, 10922, 273, 912, 258, 476, 13537, 2891, 7538, 4064, 5602, 258, 952, 476, 575, 728, 517, 14277, 5674, 525, 19312, 3436, 476, 273, 912, 258, 476, 13537, 2891, 3333, 17369, 4064, 5602, 258, 3116, 912, 258, 1820, 2891, 4692, 711, 535, 526, 4064, 8442, 15235, 454, 258, 1617, 17342, 273, 265, 272, 2073, 476, 273, 265, 273, 267, 273, 265, 274, 267, 273, 265, 275, 267, 273, 265, 276, 267, 273, 265, 277, 2639, 258, 585, 1535, 538, 1617, 912, 258, 567, 1820, 3287, 264, 3097, 1721, 1535, 538, 2039, 263, 272, 267, 1015, 266, 272, 2187, 13537, 3287, 265, 273, 264, 0, 5228, 28184, 5793, 1104, 570, 330, 267, 20988, 267, 13425, 31728, 267, 22517, 18978, 309, 541, 32390, 30862, 454, 10174, 284, 307, 330, 4590, 3698, 593, 12812, 10031, 14851, 15254, 10947, 3890, 2525, 12148, 912, 453, 453, 10174, 26644, 2891, 13425, 31728, 5602, 28432, 912, 453, 453, 10174, 26644, 3488, 5073, 12534, 284, 22517, 18978, 309, 541, 4590, 322, 321, 284, 13425, 31728, 20172, 267, 3667, 6889, 17004, 2140, 2580, 19702, 762, 284, 12534, 267, 12252, 284, 517, 12812, 994, 322, 321, 269, 572, 937, 4590, 322, 321, 269, 2897, 3287, 284, 2004, 11971, 284, 2004, 2020, 692, 10174, 6230, 664, 31467, 3890, 4848, 454, 453, 0, 258, 1362, 5274, 10031, 258, 476, 453, 7224, 15058, 318, 5674, 525, 284, 273, 454, 258, 476, 453, 7224, 15058, 318, 5586, 338, 284, 273, 454, 258, 476, 453, 338, 7219, 318, 10233, 6889, 18872, 4840, 258, 476, 22592, 3802, 263, 10472, 267, 14588, 539, 2187, 258, 476, 453, 14851, 713, 269, 7224, 15058, 318, 5586, 338, 2652, 476, 273, 912, 258, 476, 4848, 14851, 3432, 285, 271, 912, 258, 476, 15235, 13537, 2891, 296, 993, 6972, 5602, 258, 476, 453, 453, 19197, 713, 269, 7224, 15058, 318, 5586, 338, 285, 271, 912, 258, 476, 15235, 14851, 3432, 285, 271, 912, 258, 476, 20930, 13537, 2891, 328, 993, 682, 9429, 5602, 258, 476, 22592, 6926, 778, 263, 10472, 2187, 258, 476, 453, 453, 10472, 4732, 7219, 318, 10233, 6889, 19009, 4840, 20930, 4848, 454, 258, 5707, 328, 815, 14549, 4590, 258, 512, 11867, 284, 5274, 4590, 258, 1820, 2891, 307, 16951, 568, 2580, 339, 16951, 4732, 7219, 318, 10233, 994, 258, 1820, 2891, 307, 11867, 2580, 339, 11867, 4732, 7219, 318, 10233, 994, 258, 512, 11867, 269, 1076, 778, 4590, 258, 512, 11867, 9884, 1779, 263, 276, 994, 258, 1820, 6025, 11867, 4732, 7219, 318, 10233, 994, 258, 1820, 6025, 16951, 4732, 7219, 318, 10233, 2020, 258, 1362, 8111, 14549, 263, 14549, 2187, 258, 476, 22592, 8038, 10031, 258, 476, 453, 453, 338, 284, 8111, 14549, 4590, 258, 476, 453, 453, 338, 9884, 1779, 4590, 258, 476, 453, 453, 338, 8807, 569, 4590, 258, 476, 453, 453, 339, 11867, 8807, 569, 4590, 4848, 454, 453, 258, 28079, 538, 9226, 454, 5035, 9977, 912, 22592, 6449, 8181, 9191, 1345, 2187, 453, 19677, 20508, 6889, 8001, 4840, 453, 19677, 269, 5586, 284, 273, 3097, 453, 19677, 4318, 6614, 284, 273, 454, 453, 19677, 6230, 1926, 284, 272, 454, 453, 19677, 269, 8518, 284, 273, 454, 453, 19677, 2593, 14658, 542, 6889, 323, 1046, 4840, 453, 19677, 269, 19417, 6889, 339, 718, 4840, 453, 19677, 4732, 32497, 284, 3269, 454, 22592, 3802, 4311, 2187, 453, 19677, 4732, 32497, 284, 6358, 3488, 10938, 3432, 1063, 476, 272, 543, 476, 273, 5073, 453, 14851, 1582, 4732, 32497, 2652, 1412, 272, 12466, 4848, 13537, 4311, 20508, 266, 834, 568, 6972, 5602, 453, 453, 19197, 4311, 4732, 32497, 2652, 1412, 273, 262, 2187, 4848, 13537, 4311, 20508, 266, 834, 568, 4881, 5602, 453, 28432, 912, 4848, 13537, 2891, 514, 20777, 3432, 1297, 5602, 22592, 2911, 4311, 2187, 453, 13537, 4311, 20508, 1341, 834, 529, 6158, 1631, 5225, 6432, 5602, 22592, 2385, 19547, 5661, 4311, 2187, 453, 13537, 2891, 8001, 568, 834, 266, 1345, 2593, 14658, 542, 266, 257, 538, 1950, 542, 543, 568, 834, 1341, 1345, 269, 19417, 994, 258, 1362, 4132, 263, 21122, 2187, 258, 476, 22592, 6449, 8181, 9191, 1345, 2187, 258, 476, 453, 19677, 2593, 14658, 542, 6889, 2775, 4840, 258, 476, 453, 19677, 20508, 6889, 18876, 4840, 258, 476, 453, 453, 27273, 14061, 1029, 8181, 1029, 4590, 258, 669, 284, 21609, 4590, 258, 669, 2593, 14658, 542, 8782, 2775, 7055, 258, 1948, 1582, 2593, 14658, 542, 6889, 2775, 4840, 258, 669, 4877, 1861, 19547, 5661, 4590, 258, 669, 6745, 1779, 3890, 4848, 0, 5228, 28184, 5793, 1104, 27661, 258, 1832, 519, 2243, 538, 513, 5094, 795, 5459, 3758, 454, 336, 815, 1496, 454, 825, 834, 22479, 1388, 540, 3127, 20350, 825, 834, 21026, 1034, 2749, 538, 3127, 20350, 825, 834, 21026, 1034, 2749, 538, 3127, 20350, 825, 834, 21026, 1034, 2749, 538, 3127, 20350, 6540, 9953, 687, 815, 1496, 454, 825, 22373, 22013, 6062, 2580, 834, 300, 26842, 2580, 834, 298, 13083, 1092, 2580, 834, 290, 1156, 333, 2967, 257, 16689, 825, 22373, 22013, 6062, 2580, 834, 300, 26842, 2580, 834, 290, 1156, 333, 2967, 2580, 834, 298, 1415, 752, 636, 926, 257, 16689, 825, 22373, 22013, 6062, 2580, 834, 300, 26842, 2580, 834, 290, 1156, 333, 2967, 2580, 834, 298, 1415, 752, 636, 926, 257, 16689, 825, 22373, 22013, 6062, 2580, 834, 300, 26842, 2580, 834, 290, 1156, 333, 2967, 2580, 834, 298, 1415, 752, 636, 926, 257, 16689, 6540, 320, 815, 1496, 272, 267, 476, 275, 267, 272, 267, 476, 275, 2639, 258, 1535, 815, 1412, 314, 346, 257, 336, 12173, 9899, 834, 1432, 568, 519, 8231, 547, 649, 788, 538, 519, 1101, 1268, 13737, 267, 2104, 2241, 13029, 272, 286, 2580, 834, 641, 5406, 320, 9899, 834, 296, 786, 649, 788, 14824, 641, 5406, 321, 9899, 257, 296, 786, 723, 649, 696, 14824, 641, 5406, 322, 9899, 257, 296, 476, 786, 581, 649, 9429, 14824, 641, 5406, 323, 9899, 257, 296, 786, 723, 1044, 649, 9429, 14824, 753, 9899, 257, 296, 786, 649, 788, 257, 9574, 346, 257, 336, 12173, 9899, 834, 1432, 568, 519, 8231, 547, 649, 788, 538, 519, 1101, 1268, 13737, 267, 2104, 2241, 13029, 273, 286, 2580, 834, 641, 5406, 320, 9899, 834, 296, 786, 649, 788, 14824, 641, 5406, 321, 9899, 257, 296, 786, 723, 649, 696, 14824, 641, 5406, 322, 9899, 257, 296, 476, 786, 581, 649, 9429, 14824, 641, 5406, 323, 9899, 257, 296, 786, 723, 1044, 649, 9429, 14824, 753, 9899, 257, 296, 786, 649, 788, 257, 9574, 346, 257, 336, 12173, 9899, 834, 1432, 568, 519, 8231, 547, 649, 788, 538, 519, 1101, 1268, 13737, 267, 2104, 2241, 13029, 286, 2580, 834, 641, 5406, 320, 9899, 834, 296, 786, 649, 788, 14824, 641, 5406, 321, 9899, 257, 296, 786, 723, 649, 696, 14824, 641, 5406, 322, 9899, 257, 296, 476, 786, 581, 649, 9429, 14824, 641, 5406, 323, 9899, 257, 296, 786, 723, 1044, 649, 9429, 14824, 753, 9899, 257, 296, 786, 649, 788, 257, 348, 316, 7055, 1038, 1948, 1582, 13885, 815, 795, 5459, 269, 2903, 338, 4311, 11859, 994, 5035, 13658, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 4487, 2187, 1038, 1582, 269, 9953, 26000, 21124, 815, 2271, 309, 541, 4590, 1038, 1582, 269, 336, 333, 815, 476, 271, 454, 1038, 1582, 6983, 8091, 815, 476, 271, 454, 1038, 1582, 269, 13196, 815, 1582, 269, 22056, 318, 336, 9852, 2120, 267, 1582, 269, 336, 333, 994, 1038, 1582, 269, 641, 1206, 815, 1582, 269, 22056, 318, 9953, 687, 9852, 2120, 267, 476, 275, 994, 1038, 1582, 269, 5891, 318, 336, 4311, 269, 336, 333, 994, 1038, 1582, 269, 31728, 815, 29502, 9852, 2120, 267, 1257, 6889, 12988, 2580, 4971, 284, 1345, 269, 3724, 10734, 339, 333, 994, 1038, 1582, 269, 31728, 4877, 871, 263, 2515, 284, 289, 5588, 307, 6865, 994, 1038, 1582, 269, 31728, 815, 29502, 9852, 2120, 267, 1257, 6889, 9202, 2580, 4971, 284, 1345, 12785, 10734, 339, 333, 994, 1038, 1582, 269, 31728, 4877, 871, 263, 2515, 284, 289, 5588, 307, 6865, 2020, 825, 1219, 1711, 318, 336, 4311, 267, 4487, 267, 7117, 333, 2187, 1038, 530, 815, 22443, 9852, 2120, 267, 1257, 284, 336, 314, 336, 333, 7481, 1038, 530, 4877, 871, 263, 2515, 284, 307, 8008, 994, 1038, 2132, 530, 692, 825, 1219, 1711, 318, 9953, 687, 4311, 267, 4487, 267, 562, 2187, 1038, 536, 26371, 815, 476, 271, 454, 1038, 536, 815, 11713, 1038, 1247, 536, 26371, 2999, 562, 912, 2018, 536, 339, 333, 815, 30521, 984, 583, 2023, 9852, 2120, 267, 1257, 6889, 325, 5622, 2580, 4756, 284, 1345, 269, 9953, 26000, 21124, 267, 1871, 284, 321, 26371, 266, 272, 994, 2018, 536, 6910, 6357, 339, 333, 994, 2018, 536, 339, 333, 4877, 871, 263, 2515, 284, 307, 8008, 267, 19671, 6889, 342, 5602, 2018, 536, 26371, 815, 536, 26371, 1341, 476, 272, 454, 1038, 1948, 1820, 6357, 264, 8931, 1038, 2132, 536, 692, 825, 1219, 4159, 318, 336, 4311, 267, 7117, 333, 2187, 1038, 536, 26371, 815, 476, 271, 454, 1038, 1582, 269, 9953, 26000, 21124, 15630, 263, 271, 994, 1038, 1582, 269, 13196, 9131, 3667, 11172, 815, 7117, 314, 336, 333, 2639, 1038, 1948, 1820, 263, 9953, 687, 314, 336, 333, 7481, 1038, 585, 1566, 538, 3681, 314, 336, 333, 14158, 2018, 1948, 1820, 263, 641, 994, 2018, 1582, 269, 641, 1206, 314, 321, 26371, 6012, 262, 3667, 11172, 815, 1566, 454, 2018, 1582, 269, 641, 1206, 314, 321, 26371, 6012, 262, 7407, 11172, 815, 641, 454, 2018, 536, 26371, 815, 536, 26371, 1341, 476, 272, 454, 2018, 1948, 1820, 6357, 26371, 994, 825, 1219, 2638, 318, 336, 4311, 267, 7117, 333, 2187, 1038, 1948, 1820, 3488, 1877, 5073, 1038, 1948, 1820, 4311, 269, 9953, 26000, 21124, 10947, 15405, 1038, 952, 1582, 269, 9953, 26000, 21124, 10947, 3890, 2652, 513, 314, 336, 333, 14158, 2018, 2132, 6936, 454, 1038, 2132, 8771, 692, 825, 1219, 1820, 318, 29798, 4311, 2187, 1038, 1820, 2891, 30360, 281, 14307, 1582, 6983, 8091, 267, 834, 270, 2580, 7003, 32429, 11723, 825, 1219, 1394, 10734, 339, 333, 4311, 2187, 1038, 1820, 2891, 2998, 1394, 5602, 1038, 1948, 1582, 269, 336, 333, 815, 1582, 269, 336, 333, 910, 476, 272, 454, 1038, 1948, 1582, 269, 5891, 318, 336, 4311, 269, 336, 333, 994, 825, 1219, 1985, 10734, 339, 333, 4311, 2187, 1038, 1780, 454, 1038, 952, 1582, 269, 13765, 318, 336, 4311, 269, 336, 333, 2187, 2018, 1820, 2891, 28557, 5602, 2018, 1582, 6983, 8091, 6834, 476, 272, 454, 1038, 3116, 912, 2018, 1820, 2891, 310, 3994, 5602, 1038, 1582, 269, 336, 333, 815, 1582, 269, 336, 333, 1341, 476, 272, 454, 1038, 952, 1582, 269, 336, 333, 13843, 7003, 32429, 2187, 2018, 1582, 31428, 318, 29798, 4590, 1038, 3116, 912, 2018, 1582, 269, 5891, 318, 336, 4311, 269, 336, 333, 994, 2018, 1820, 4311, 269, 5891, 318, 336, 4311, 269, 336, 333, 11723, 10174, 815, 570, 330, 4590, 10174, 269, 613, 5852, 2891, 4335, 343, 4968, 5602, 1952, 815, 13658, 20172, 994, 10174, 6230, 664, 31467, 3890, 0, 5814, 2979, 1477, 258, 288, 1297, 568, 25828, 952, 543, 1152, 952, 835, 610, 1312, 540, 630, 276, 265, 333, 317, 273, 1341, 476, 275, 264, 610, 630, 276, 265, 333, 317, 273, 1107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 898, 3513, 581, 3078, 547, 29465, 1472, 4884, 543, 13236, 538, 4195, 2011, 267, 1175, 899, 17137, 798, 780, 276, 269, 29303, 281, 1306, 513, 1686, 27423, 267, 594, 993, 4278, 2683, 547, 1451, 602, 588, 13764, 16837, 569, 2059, 25865, 4565, 9693, 10092, 538, 23406, 13102, 971, 607, 3057, 9820, 267, 5824, 22588, 267, 543, 8053, 27926, 516, 1223, 581, 606, 6207, 10508, 269, 18391, 4464, 547, 13830, 17749, 2914, 20564, 8090, 2439, 3086, 2501, 519, 30861, 851, 1862, 1924, 972, 594, 729, 267, 4712, 547, 9784, 519, 4975, 540, 28691, 609, 1930, 7916, 267, 2348, 25528, 856, 1250, 3408, 1544, 1210, 891, 8748, 1797, 540, 6283, 269, 9741, 1705, 594, 917, 267, 1272, 1185, 1945, 9058, 538, 4558, 585, 803, 2439, 7628, 1250, 2034, 1554, 538, 8303, 267, 1310, 11981, 513, 17681, 11878, 593, 1899, 476, 277, 540, 519, 1558, 549, 267, 594, 4956, 547, 6467, 1919, 909, 543, 1904, 539, 585, 513, 1668, 4663, 3079, 269, 2755, 11287, 844, 5593, 10754, 689, 519, 5580, 16064, 267, 594, 8068, 513, 15116, 2943, 17134, 656, 5944, 4190, 21869, 648, 512, 26786, 2476, 9624, 8723, 5656, 269, 2382, 14688, 6537, 2509, 621, 267, 594, 620, 32484, 519, 1985, 3247, 543, 5887, 3293, 3330, 780, 2414, 1250, 9983, 267, 594, 16686, 2390, 513, 17728, 2854, 676, 513, 19622, 3943, 3454, 328, 9920, 3957, 10496, 13196, 269, 3571, 2984, 2847, 9407, 1472, 13341, 609, 15915, 8151, 689, 28245, 547, 15602, 2043, 267, 1142, 9661, 21048, 4979, 741, 9909, 267, 12194, 267, 29217, 267, 543, 2295, 2851, 269, 7335, 2417, 267, 594, 7691, 875, 7184, 4448, 646, 5433, 609, 1010, 26348, 1107, 8156, 873, 609, 11587, 267, 2463, 267, 543, 9758, 1719, 5103, 741, 1514, 4567, 525, 780, 300, 3437, 676, 10496, 13196, 262, 6568, 543, 8103, 267, 594, 4956, 547, 1246, 9290, 269, 1280, 519, 14230, 540, 1250, 3460, 267, 594, 8359, 547, 2951, 6140, 3842, 3454, 328, 267, 2502, 609, 10256, 827, 741, 2729, 267, 17050, 267, 3885, 267, 543, 7840, 269, 1452, 7391, 3366, 803, 1055, 7308, 15515, 22760, 1790, 987, 21889, 14406, 6382, 1107, 6456, 10651, 267, 18241, 552, 831, 625, 267, 1148, 24218, 267, 543, 791, 668, 696, 340, 8265, 12644, 780, 7069, 3355, 1544, 3238, 10992, 1055, 15805, 9634, 267, 13461, 8185, 593, 4052, 4388, 1336, 2228, 269, 1809, 7064, 547, 10496, 13196, 262, 11121, 1913, 267, 594, 17947, 694, 16781, 760, 640, 543, 4362, 519, 3020, 9759, 540, 8303, 1107, 3636, 13463, 14975, 20339, 3297, 23376, 14743, 267, 7524, 2950, 14762, 3544, 13416, 18845, 267, 543, 15851, 5898, 22090, 27128, 28663, 689, 1169, 7944, 780, 3383, 267, 952, 4896, 12134, 267, 834, 6343, 781, 519, 1655, 1259, 547, 1205, 1472, 8303, 8119, 3911, 850, 267, 1491, 513, 2620, 7362, 267, 1577, 979, 540, 26608, 18727, 2093, 267, 543, 4431, 267, 834, 4913, 707, 2295, 13821, 1701, 0, 2237, 513, 1650, 538, 519, 2511, 540, 1483, 3734, 3871, 602, 1004, 2671, 538, 15473, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 912, 18658, 568, 519, 1655, 1259, 547, 1205, 1472, 8303, 888, 296, 1810, 1405, 723, 2123, 2833, 543, 7375, 269, 2705, 267, 1934, 616, 930, 2081, 547, 1205, 1472, 1612, 529, 1759, 593, 2442, 3681, 780, 1706, 529, 814, 606, 5140, 1857, 6283, 1062, 609, 2789, 12331, 540, 6283, 780, 272, 269, 1558, 549, 281, 519, 1612, 529, 1558, 549, 568, 519, 1034, 10375, 543, 2656, 652, 1259, 547, 1205, 1472, 519, 2749, 269, 519, 1558, 549, 814, 513, 5318, 3060, 540, 476, 1691, 3515, 543, 936, 476, 4968, 10473, 2429, 519, 2749, 780, 273, 269, 1668, 281, 1612, 529, 814, 606, 3573, 1668, 3060, 602, 6227, 519, 2898, 2749, 269, 713, 7154, 540, 6283, 568, 4998, 585, 3695, 519, 2749, 781, 16973, 780, 274, 269, 3454, 328, 281, 3454, 529, 616, 11593, 2139, 538, 1612, 529, 269, 2705, 267, 789, 666, 581, 7199, 267, 2523, 1282, 8445, 3108, 610, 19060, 3108, 780, 275, 269, 17919, 281, 1612, 529, 814, 513, 1134, 268, 23457, 11332, 6879, 2130, 1062, 267, 1634, 607, 6063, 756, 267, 602, 2636, 596, 547, 10519, 21891, 693, 10257, 3928, 780, 276, 269, 6972, 281, 1612, 529, 568, 513, 4190, 2749, 267, 543, 6972, 568, 513, 1390, 1259, 547, 1205, 1472, 267, 2523, 538, 519, 8978, 16973, 540, 2261, 9820, 267, 32204, 10116, 267, 543, 1395, 339, 27926, 516, 563, 10640, 763, 1650, 2115, 547, 1331, 513, 8903, 543, 6397, 4729, 6335, 269, 2659, 2239, 1058, 13469, 609, 519, 13597, 543, 2123, 5905, 1336, 538, 8468, 5717, 269, 3417, 11541, 2621, 543, 3929, 3178, 563 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 547, 476, 5002, 278, 267, 519, 13143, 540, 8988, 729, 1447, 982, 835, 2389, 342, 12351, 540, 519, 2698, 8801, 3666, 269, 634, 2601, 1946, 13143, 540, 14951, 2968, 11991, 538, 19220, 540, 519, 1804, 2333, 540, 20558, 936, 18666, 729, 602, 267, 19962, 547, 2797, 543, 824, 3123, 267, 3624, 3323, 547, 10210, 8185, 689, 4914, 2477, 563, 288, 2370, 7778, 568, 2556, 547, 1118, 713, 1448, 2312, 547, 1250, 3988, 269, 4675, 3151, 602, 3624, 11731, 513, 10211, 538, 5507, 610, 8303, 585, 11278, 1015, 267, 1822, 267, 1822, 267, 621, 5205, 267, 607, 513, 2339, 540, 1576, 267, 602, 713, 2179, 568, 547, 581, 2366, 538, 8988, 547, 713, 2197, 282, 1139, 3151, 602, 693, 519, 1482, 942, 519, 3666, 1996, 3624, 538, 4123, 568, 827, 570, 3149, 269, 476, 3583, 267, 1822, 267, 1822, 267, 610, 267, 538, 824, 1913, 267, 22278, 9467, 538, 3624, 28297, 9755, 538, 2342, 519, 2040, 540, 570, 3149, 269, 476, 3583, 267, 1822, 267, 1822, 610, 5111, 11278, 279, 267, 4335, 267, 1822, 269, 634, 2272, 896, 971, 6381, 568, 14661, 538, 519, 1739, 6073, 282, 3079, 540, 513, 5595, 11834, 540, 519, 6771, 540, 11278, 1015, 267, 1822, 267, 1822, 547, 3624, 543, 11278, 279, 267, 4335, 271, 267, 1822, 267, 547, 2342, 267, 519, 5106, 568, 16866, 676, 2342, 1121, 9231, 11278, 272, 267, 4335, 267, 1822, 538, 8988, 547, 3624, 269, 0, 1607, 3296, 568, 689, 519, 1433, 834, 763, 5754, 8162, 545, 3590, 281, 674, 8463, 1656, 6129, 24872, 532, 2580, 676, 29464, 631, 269, 17125, 2023, 269, 4746, 2139, 689, 8835, 281, 634, 5754, 8162, 545, 3590, 5292, 8633, 674, 8463, 543, 6129, 24872, 532, 563, 2467, 568, 1100, 8594, 540, 519, 3461, 12955, 540, 27781, 538, 519, 1184, 540, 3478, 1134, 269, 2913, 721, 7703, 538, 2247, 602, 519, 1560, 568, 22234, 540, 15395, 1426, 8637, 799, 786, 2743, 922, 2115, 585, 2428, 337, 2939, 585, 513, 12675, 1974, 269, 769, 8650, 834, 323, 1047, 1162, 257, 519, 1560, 666, 3761, 922, 4333, 633, 2115, 689, 891, 1426, 14425, 609, 1447, 4674, 543, 609, 1447, 3653, 540, 1648, 543, 6219, 982, 568, 2838, 547, 3761, 873, 689, 6151, 2326, 563, 2171, 3494, 602, 812, 3340, 1426, 782, 519, 942, 1317, 649, 723, 4121, 547, 1589, 540, 1864, 607, 606, 2599, 610, 513, 3684, 602, 666, 2196, 1152, 865, 1279, 607, 646, 568, 13859, 609, 4492, 269, 901, 21494, 2964, 2065, 2070, 540, 1272, 1202, 1235, 2390, 24937, 1169, 20872, 540, 15859, 543, 8156, 812, 607, 606, 538, 534, 1493, 3684, 568, 5701, 563, 4131, 519, 7210, 3548, 1152, 950, 7186, 7125, 585, 1426, 269, 589, 1804, 1297, 540, 2665, 786, 9156, 267, 2436, 789, 3049, 610, 3728, 267, 855, 972, 568, 849, 513, 1360, 1804, 1297, 540, 2665, 945, 786, 5884, 267, 952, 789, 616, 10480, 267, 945, 1131, 6382, 9156, 269, 1677, 3728, 610, 547, 3049, 734, 10472, 568, 1419, 519, 3390, 540, 547, 2661, 610, 547, 5884, 269, 0, 3086, 6029, 3688, 476, 1556, 268, 736, 540, 476, 5325, 454, 26877, 636, 3215, 26726, 4498, 341, 3949, 2197, 2013, 1353, 2278, 281, 28865, 590, 5500, 1457, 454, 295, 684, 614, 590, 5500, 1457, 568, 513, 12854, 11134, 609, 667, 691, 17625, 5441, 538, 519, 2136, 2276, 543, 606, 14174, 302, 22639, 269, 10738, 519, 594, 295, 295, 1353, 267, 590, 5500, 1457, 8329, 547, 519, 23529, 2013, 1353, 543, 3366, 519, 21044, 1353, 593, 519, 3327, 11640, 4429, 303, 9438, 532, 519, 5222, 543, 8739, 20300, 4539, 540, 2916, 1689, 593, 2518, 7286, 8134, 543, 21996, 281, 519, 19532, 12239, 318, 293, 880, 5943, 454, 13911, 281, 3883, 3848, 454, 20458, 1689, 568, 23960, 543, 568, 2907, 7133, 519, 7286, 1604, 269, 6480, 26305, 519, 2360, 540, 2916, 1689, 593, 519, 2504, 540, 3165, 2200, 267, 543, 741, 8200, 7239, 267, 568, 1950, 1317, 540, 281, 7965, 4429, 19102, 2084, 519, 2640, 543, 6940, 540, 12555, 998, 5610, 540, 21996, 281, 589, 3391, 585, 1216, 24990, 267, 9946, 543, 8030, 454, 306, 30708, 476, 272, 13832, 585, 24990, 543, 812, 7970, 3812, 593, 2810, 2640, 543, 6940, 540, 1216, 5989, 998, 5610, 540, 21996, 454, 303, 7163, 796, 562, 537, 767, 20527, 743, 2967, 14141, 1147, 8350, 19306, 1875, 1471, 17156, 281, 5487, 9295, 632, 3288, 533, 17845, 3832, 1148, 16388, 1446, 14193, 26955, 975, 701, 618, 14463, 454, 5319, 476, 1001, 273, 267, 3288, 14174, 302, 267, 3288, 14465, 4302, 544, 1180, 658, 324, 1696, 2622, 293, 880, 23835, 1435, 2993, 2946, 11552, 476, 18863, 8775, 26726, 28610, 281, 634, 2518, 9295, 540, 7001, 21996, 269, 32449, 521, 719, 523, 597, 3288, 3846, 1664, 5186, 1170, 14397, 632, 544, 1047, 679, 522, 324, 12320, 516, 964, 6034, 1161, 9399, 293, 267, 1696, 679, 678, 2946, 335, 2945, 4429, 288, 638, 1738, 1426, 1949, 896, 5046, 268, 866, 454, 763, 2622, 2657, 9257, 10294, 5046, 268, 866, 513, 2518, 6855, 593, 476, 1556, 4728, 476, 1708, 271, 630, 21766, 267, 476, 1708, 271, 320, 1040, 901, 17083, 19430, 6595, 3800, 2066, 519, 8608, 547, 2270, 519, 3262, 540, 519, 2068, 269, 570, 2586, 607, 513, 2898, 267, 519, 4429, 292, 2675, 12686, 519, 3501, 7088, 540, 21800, 2916, 1689, 5222, 593, 6683, 543, 7286, 21996, 454, 13911, 281, 4750, 9137, 454, 20458, 1689, 666, 7369, 2175, 602, 2844, 1426, 2504, 543, 8244, 267, 609, 22107, 8172, 4539, 585, 1426, 3354, 543, 2518, 11615, 269, 3371, 267, 649, 6218, 519, 13438, 540, 7239, 547, 519, 21800, 4429, 2419, 4474, 5389, 2433, 513, 5758, 1867, 593, 519, 1101, 2518, 1413, 693, 519, 4008, 7516, 540, 21996, 454, 13911, 281, 10985, 7433, 454, 763, 1623, 24007, 3177, 1007, 5784, 543, 4030, 267, 543, 519, 1930, 4901, 693, 519, 1439, 12306, 593, 2185, 9030, 8846, 585, 2104, 2962, 281, 547, 8495, 538, 3178, 519, 2804, 7418, 540, 782, 12415, 540, 10068, 4429, 29638, 543, 2021, 538, 21996, 543, 29867, 454, 13911, 281, 4033, 630, 14813, 4919, 994, 14813, 4919, 593, 519, 1909, 540, 2021, 538, 29867, 543, 21996, 454, 22102, 8397, 7001, 21996, 281, 513, 2518, 7650, 609, 8561, 593, 3384, 2477, 281, 513, 16861, 1867, 540, 519, 8262, 10606, 5741, 454, 763, 1867, 3947, 513, 5758, 540, 519, 2164, 547, 15082, 540, 2013, 2090, 5645, 856, 538, 513, 5697, 1297, 540, 2477, 799, 2488, 513, 1101, 2079, 540, 519, 3604, 1063, 7286, 543, 24654, 1507, 543, 1804, 4336, 21996, 4429, 307, 7211, 5757, 21996, 29925, 2433, 513, 2518, 10282, 543, 2565, 2689, 454, 1607, 1867, 8039, 519, 2518, 4567, 540, 9341, 543, 24654, 21996, 29925, 282, 15109, 519, 1764, 540, 2242, 538, 5757, 2359, 593, 519, 1871, 540, 9341, 5757, 21996, 282, 543, 26483, 12290, 476, 274, 29925, 2553, 269, 0, 12892, 9012, 31421, 454, 21801, 476, 1839, 267, 476, 1708, 272, 674, 6150, 547, 281, 14640, 31421, 1160, 1597, 3435, 454, 763, 5769, 543, 1514, 2923, 723, 1831, 835, 540, 519, 1034, 3532, 4229, 538, 2487, 1296, 269, 2060, 513, 3818, 13109, 540, 18817, 585, 5872, 267, 972, 11148, 547, 581, 606, 2333, 538, 519, 8897, 676, 799, 1004, 666, 29608, 13842, 543, 4439, 569, 936, 971, 18817, 269, 4317, 2923, 814, 1082, 1390, 5383, 267, 799, 616, 1360, 1134, 1634, 267, 855, 849, 2501, 609, 930, 2591, 269, 2290, 540, 519, 2591, 15054, 568, 1514, 2923, 11648, 269, 1924, 538, 713, 2376, 2221, 267, 649, 4927, 1413, 693, 875, 649, 666, 2061, 610, 3247, 11648, 676, 1514, 2923, 563, 3528, 4214, 267, 30378, 568, 519, 946, 540, 1514, 2923, 2029, 547, 3771, 817, 267, 21279, 267, 3077, 267, 610, 2119, 547, 19849, 817, 1776, 1268, 610, 2832, 693, 543, 3441, 741, 1915, 610, 8226, 2228, 563, 31624, 2391, 676, 1514, 2923, 666, 1491, 1082, 3029, 267, 971, 607, 11488, 1611, 6835, 547, 1004, 610, 6937, 547, 513, 1268, 781, 1272, 267, 10728, 610, 678, 8775, 5931, 267, 17408, 1115, 267, 9708, 267, 610, 6835, 269, 898, 666, 849, 21102, 513, 1268, 781, 2272, 1344, 547, 1857, 1125, 4357, 1344, 676, 10825, 621, 593, 1514, 2923, 7270, 563, 12892, 2923, 11648, 666, 581, 16609, 1317, 540, 1082, 4128, 1813, 547, 912, 2005, 814, 1044, 3964, 602, 11648, 593, 1514, 2923, 568, 3983, 543, 666, 2014, 9434, 2042, 269, 1924, 1018, 666, 596, 798, 827, 621, 888, 11039, 267, 972, 616, 1896, 1919, 547, 798, 952, 596, 2811, 513, 21717, 610, 15730, 945, 568, 1373, 13032, 1221, 593, 1514, 2923, 563, 2026, 1762, 1453, 945, 616, 18930, 539, 609, 1514, 2923, 616, 1419, 519, 3077, 540, 1514, 2923, 11648, 267, 2943, 789, 616, 1932, 1762, 547, 6023, 891, 1919, 4805, 269, 2334, 781, 1946, 3237, 991, 547, 1491, 3742, 5107, 538, 4543, 741, 1126, 609, 1514, 2923, 11648, 563, 2750, 1061, 585, 519, 1657, 268, 20197, 4183, 267, 5482, 328, 306, 12522, 849, 2488, 2934, 602, 666, 948, 3237, 4194, 1034, 540, 741, 4145, 563, 10666, 3368, 540, 14038, 723, 1044, 9601, 540, 1114, 5686, 540, 11648, 693, 930, 1448, 538, 741, 2729, 568, 513, 23892, 7678, 602, 2115, 547, 581, 1225, 339, 9229, 269, 14268, 1058, 1451, 2081, 547, 1832, 741, 3214, 2476, 689, 11648, 563, 2252, 596, 1265, 856, 602, 707, 1126, 568, 1373, 13032, 1221, 267, 621, 568, 1271, 547, 1491, 621, 12517, 543, 1935, 621, 609, 13657, 267, 2822, 25163, 267, 543, 1377, 32567, 1145, 563, 28406, 532, 1453, 689, 519, 16221, 540, 5739, 1344, 602, 6083, 1846, 593, 519, 5769, 543, 602, 666, 581, 9859, 998, 1514, 2923, 568, 1945, 602, 1590, 581, 2944, 20193, 568, 849, 1271, 547, 2911, 547, 3214, 827, 11648, 676, 1514, 2923, 543, 519, 3978, 543, 4049, 4539, 563, 8448, 1271, 1919, 899, 711, 547, 2671, 4376, 4357, 998, 1257, 610, 8216, 20261, 267, 5329, 2123, 1344, 2922, 543, 2476, 689, 4025, 1141, 621, 1223, 581, 1336, 1058, 849, 581, 28093, 756, 539, 538, 1453, 563, 12892, 2923, 11648, 568, 513, 2367, 864, 602, 814, 2097, 609, 519, 1007, 2085, 540, 10731, 4276, 543, 1344, 269, 4706, 4539, 616, 1208, 784, 748, 543, 2484, 23568, 269, 901, 568, 1946, 621, 568, 1271, 547, 2149, 3214, 689, 13032, 625, 267, 1141, 789, 949, 581, 1336, 267, 2901, 538, 1153, 610, 593, 519, 5769, 269, 1403, 596, 1265, 856, 602, 707, 1126, 568, 513, 6880, 12712, 569, 610, 15920, 20025, 6835, 547, 1010, 9905, 267, 621, 568, 1271, 711, 547, 26777, 621, 269, 23063, 519, 1126, 1524, 267, 543, 723, 513, 9350, 4901, 827, 519, 4539, 540, 971, 3527, 269, 769, 782, 267, 11648, 593, 1514, 2923, 568, 513, 1966, 602, 1590, 581, 8214, 1194, 693, 782, 3790, 547, 6536, 513, 2922, 1604, 585, 3214, 547, 1332, 543, 21707, 563, 1692, 1677, 15681, 952, 2659, 17718, 1772, 513, 10089, 569, 454, 4692, 15536, 321, 1638, 625, 3619, 547, 808, 841, 585, 15536, 12712, 454, 31624, 2391, 543, 15536, 24830, 454, 1692, 6496, 15536, 24830, 3399, 454, 289, 1638, 1221, 4819, 261, 13032, 625, 454, 310, 904, 547, 20958, 609, 6732, 31421, 0, 12626, 5678, 13026, 513, 13747, 2990, 607, 606, 3486, 543, 3095, 1893, 547, 19586, 519, 3621, 267, 4081, 267, 1870, 543, 22237, 18697, 540, 7214, 1702, 269, 5303, 814, 2813, 606, 2653, 1569, 540, 1565, 519, 5499, 543, 3860, 2409, 540, 2647, 6165, 540, 5767, 2553, 538, 14583, 4610, 540, 6925, 267, 2257, 543, 5303, 267, 6355, 267, 2230, 3408, 3092, 1421, 547, 9337, 938, 1702, 609, 2518, 2344, 6735, 269, 634, 25465, 540, 5564, 12855, 2029, 971, 607, 595, 17920, 630, 20663, 19443, 5678, 4804, 264, 9256, 5961, 267, 7044, 543, 8301, 6119, 3092, 1421, 814, 1831, 519, 5767, 7678, 540, 3450, 32705, 1893, 3450, 547, 9290, 519, 15226, 2115, 609, 811, 4359, 2029, 269, 634, 17117, 540, 2296, 814, 1831, 606, 1898, 3693, 540, 2518, 2344, 2523, 538, 519, 21384, 540, 29745, 267, 8239, 267, 30827, 543, 4852, 716, 673, 3889, 540, 2262, 5250, 3092, 1421, 585, 513, 2312, 543, 22192, 6073, 269, 6987, 2400, 2542, 799, 568, 6140, 2944, 538, 543, 856, 540, 519, 4928, 3108, 10802, 519, 1053, 547, 1224, 513, 2647, 3099, 540, 2835, 547, 11571, 607, 1082, 2835, 607, 2009, 609, 6266, 540, 5961, 267, 19347, 10374, 2984, 267, 7395, 16383, 267, 22383, 267, 4437, 13132, 3092, 1421, 28439, 693, 741, 1377, 540, 1565, 269, 7335, 568, 3989, 607, 606, 7317, 1184, 540, 1367, 2534, 547, 2708, 519, 3259, 540, 519, 2326, 543, 519, 12588, 547, 8415 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5291, 2517, 337, 277, 28022, 270, 24108, 270, 1001, 11820, 1789, 307, 23713, 276, 3451, 313, 11258, 267, 476, 1001, 272, 269, 21444, 281, 5291, 2517, 19986, 269, 1105, 633, 3820, 270, 19986, 270, 1001, 3445, 275, 6200, 276, 4029, 6734, 270, 10674, 2517, 337, 277, 28022, 270, 24108, 270, 1001, 11820, 1789, 307, 23713, 276, 3451, 313, 11258, 269, 21700, 281, 476, 1001, 280, 268, 6860, 268, 1015, 563, 268, 476, 25398, 297, 269, 25398, 329, 4507, 543, 5773, 269, 4179, 2517, 701, 518, 329, 2593, 270, 12671, 270, 2181, 21646, 9706, 4301, 625, 7146, 3491, 1027, 999, 32551, 476, 1001, 280, 269, 21444, 281, 5291, 2517, 19986, 269, 1105, 633, 3820, 270, 19986, 270, 1001, 3445, 275, 6200, 27944, 2420, 270, 10059, 2517, 701, 518, 329, 2593, 270, 12671, 270, 2181, 21646, 9706, 4301, 625, 7146, 3491, 1027, 999, 28918, 21700, 281, 476, 1001, 280, 268, 6860, 268, 1015, 563, 268, 476, 700, 583, 345, 2776, 3832, 2741, 267, 12253, 3400, 345, 3999, 514, 267, 543, 12253, 631, 2946, 526, 14162, 22513, 5451, 526, 14162, 269, 589, 2146, 779, 5133, 593, 519, 4567, 543, 2104, 540, 9263, 2689, 538, 3301, 4702, 269, 6176, 543, 12229, 5303, 267, 476, 4817, 281, 4037, 1700, 5952, 267, 476, 1001, 279, 563, 268, 476, 681, 11759, 12243, 269, 681, 281, 589, 5678, 543, 5113, 585, 18926, 17270, 269, 681, 7690, 585, 18926, 17270, 267, 21499, 267, 15212, 267, 476, 1001, 279, 563, 268, 476, 1323, 13453, 18007, 7315, 328, 6363, 541, 573, 267, 18466, 548, 19395, 267, 543, 1520, 6929, 717, 4446, 32200, 269, 1548, 15314, 2333, 1239, 4687, 538, 1072, 543, 2564, 1382, 286, 513, 9836, 2689, 269, 3194, 8699, 543, 9263, 2689, 267, 476, 273, 263, 272, 2567, 275, 267, 476, 1001, 278, 563, 268, 476, 18148, 590, 16184, 619, 267, 808, 10154, 14173, 4506, 518, 267, 543, 595, 20782, 14173, 4506, 518, 269, 1323, 7716, 2358, 5967, 1239, 281, 2591, 543, 14207, 538, 2259, 269, 19120, 5511, 3194, 267, 476, 1428, 263, 276, 2567, 277, 1626, 1700, 277, 3953, 267, 476, 1001, 276, 269, 20163, 281, 476, 25784, 31816, 5780, 563, 268, 476, 681, 2788, 5576, 20810, 267, 918, 2967, 10127, 514, 717, 525, 577, 7795, 333, 267, 543, 27055, 553, 966, 690, 2401, 269, 2598, 4533, 532, 519, 20478, 13746, 685, 1870, 2203, 585, 519, 2556, 1804, 8397, 7004, 547, 1930, 1569, 269, 476, 1001, 276, 563, 268, 476, 9400, 631, 853, 718, 2006, 267, 17029, 663, 17755, 337, 987, 267, 543, 6754, 8055, 269, 717, 26214, 1118, 269, 595, 2572, 17621, 267, 476, 1220, 272, 563, 268, 476, 22189, 570, 3317, 656, 267, 26391, 661, 2142, 15330, 267, 808, 3266, 523, 18548, 2006, 267, 645, 329, 23152, 333, 6601, 332, 2125, 267, 32286, 18332, 932, 2426, 267, 717, 841, 595, 2211, 267, 8751, 595, 4459, 267, 22189, 13660, 1146, 267, 1325, 770, 1515, 667, 7342, 267, 6424, 8278, 3380, 267, 543, 1696, 620, 269, 25043, 585, 1930, 14172, 4640, 1646, 267, 3967, 476, 1001, 280, 563, 268, 476, 24910, 2974, 30750, 267, 22189, 5062, 303, 1667, 517, 267, 15608, 4258, 978, 267, 589, 1258, 2311, 9469, 267, 543, 808, 297, 2353, 18311, 269, 3640, 7806, 281, 589, 667, 2570, 1890, 5004, 3590, 585, 18768, 543, 741, 681, 13268, 720, 667, 2570, 4293, 267, 476, 1001, 279, 269, 681, 10189, 4528, 476, 271, 269, 276, 269, 271, 563, 268, 476, 966, 17621, 548, 11709, 3954, 29431, 526, 523, 267, 7200, 1047, 23634, 328, 267, 15623, 26741, 331, 731, 267, 8644, 2421, 21674, 267, 543, 19846, 1338, 29088, 517, 269, 19737, 543, 4687, 1239, 282, 513, 1655, 2259, 3391, 585, 3173, 269, 476, 1001, 272, 563, 268, 476, 589, 4471, 8709, 1546, 2720, 523, 269, 5682, 1930, 1569, 3655, 336, 269, 4179, 2517, 822, 663, 324, 2720, 523, 2593, 270, 1001, 277, 270, 1556, 270, 6187, 270, 13582, 268, 13449, 14092, 947, 1922, 26698, 32551, 476, 1001, 277, 269, 21444, 281, 4179, 2517, 19986, 269, 1105, 633, 3820, 270, 19986, 270, 1001, 3445, 275, 6200, 31404, 2420, 270, 10059, 2517, 822, 663, 324, 2720, 523, 2593, 270, 1001, 277, 270, 1556, 270, 6187, 270, 13582, 268, 13449, 14092, 947, 1922, 26698, 28918, 21700, 281, 476, 1001, 280, 268, 6860, 268, 1015, 563, 268, 476, 22816, 12855, 269, 31664, 267, 4220, 543, 2427, 13716, 338, 540, 519, 12689, 9074, 9232, 12061, 10687, 14293, 946, 1152, 6100, 7046, 21923, 4456, 269, 476, 1001, 274, 563, 268, 476, 7812, 654, 334, 1409, 548, 267, 623, 1512, 334, 744, 961, 3511, 334, 267, 543, 15623, 670, 25595, 269, 7046, 2257, 568, 513, 1382, 5787, 1807, 269, 7186, 11061, 267, 476, 274, 281, 278, 3393, 21768, 1700, 267, 9484, 476, 1001, 272, 563, 268, 476, 962, 8811, 14241, 2473, 773, 269, 25674, 26671, 609, 681, 543, 5679, 527, 337, 269, 28331, 2006, 543, 8065, 270, 10135, 290, 267, 645, 10087, 13158, 517, 267, 8419, 267, 476, 273, 526, 7160, 267, 476, 1001, 276, 269, 9768, 476, 7818, 268, 14983, 9262, 272, 7597, 277, 274, 563, 268, 476, 962, 8811, 14241, 2473, 773, 267, 808, 12282, 269, 2353, 18311, 267, 543, 12275, 21884, 23108, 12661, 1495, 269, 681, 19673, 281, 634, 4347, 514, 1438, 6651, 269, 28331, 2006, 543, 8065, 270, 10135, 290, 267, 645, 10087, 13158, 517, 267, 8419, 267, 476, 1001, 279, 269, 9768, 476, 7818, 13647, 279, 3374, 280, 3451, 279, 269, 0, 5475, 2542, 891, 1614, 5137, 14868, 267, 789, 941, 2147, 538, 930, 2081, 267, 2943, 1114, 538, 1866, 269, 634, 3119, 2856, 602, 519, 1614, 5137, 14868, 1185, 538, 1455, 729, 602, 1142, 7242, 1185, 513, 17082, 540, 782, 1919, 538, 6228, 269, 769, 519, 3525, 665, 7242, 267, 519, 21708, 13336, 729, 519, 4384, 1807, 540, 782, 269, 1280, 519, 631, 4660, 340, 5137, 7242, 267, 3047, 9024, 5573, 729, 519, 25690, 540, 1272, 269, 1306, 585, 519, 1433, 540, 19606, 267, 2696, 568, 519, 17082, 540, 782, 269, 6271, 16726, 540, 519, 14868, 568, 602, 972, 568, 606, 3662, 602, 17814, 513, 1713, 1909, 538, 1142, 7242, 269, 634, 3525, 665, 338, 3662, 538, 519, 7242, 729, 519, 17680, 3960, 569, 12217, 267, 799, 729, 6743, 2390, 607, 11937, 547, 3425, 563, 2005, 729, 7150, 267, 1358, 941, 519, 1101, 12075, 282, 519, 11937, 540, 782, 519, 12075, 11031, 269, 1280, 602, 2601, 267, 12075, 945, 941, 23493, 1472, 6778, 1744, 770, 320, 2760, 7166, 513, 7703, 269, 769, 631, 4660, 340, 7242, 267, 519, 14854, 729, 519, 3662, 602, 19443, 3047, 9024, 5573, 547, 5531, 13897, 547, 1118, 3819, 2244, 269, 634, 7242, 9672, 267, 3047, 9024, 5573, 16150, 539, 519, 3618, 856, 689, 896, 570, 4669, 956, 18969, 267, 543, 856, 621, 538, 519, 13869, 540, 1010, 1688, 543, 18202, 621, 827, 2394, 621, 729, 5180, 22935, 769, 19606, 267, 519, 1583, 25871, 7000, 3294, 607, 519, 23487, 995, 835, 945, 18617, 18832, 547, 3548, 519, 4829, 267, 799, 2696, 17246, 573, 14088, 543, 18832, 547, 4584, 593, 602, 4829, 3529, 563, 763, 1583, 25871, 7479, 12184, 543, 5143, 18832, 267, 14717, 4927, 711, 15983, 5884, 281, 1280, 2696, 546, 1054, 917, 519, 538, 519, 1554, 9493, 3548, 23476, 267, 1287, 707, 4064, 4927, 581, 8118, 267, 543, 9493, 4927, 581, 607, 5601, 22935, 769, 19220, 540, 519, 1614, 5137, 14868, 267, 1142, 3662, 1500, 606, 1764, 547, 519, 14868, 269, 1323, 3606, 16726, 540, 519, 14868, 568, 602, 519, 9120, 15888, 941, 3129, 1221, 676, 606, 3662, 610, 1004, 269, 769, 519, 3525, 665, 7242, 267, 519, 21708, 13336, 1185, 1010, 1920, 563, 763, 7242, 2829, 267, 2485, 355, 2419, 3971, 540, 519, 21708, 13336, 4956, 547, 3142, 1010, 1920, 1524, 543, 2661, 593, 519, 3618, 5128, 269, 1703, 941, 3606, 14326, 538, 519, 7242, 1932, 269, 1280, 1383, 267, 519, 21708, 13336, 5143, 1010, 21836, 8250, 547, 1849, 12494, 909, 547, 519, 8673, 8559, 543, 2307, 519, 2842, 6891, 547, 9514, 811, 9900, 269, 769, 19606, 267, 621, 14437, 827, 875, 2696, 1767, 267, 2913, 721, 1118, 812, 538, 938, 3239, 267, 1310, 938, 6010, 8864, 22935, 1879, 646, 19528, 519, 2262, 938, 713, 19752, 602, 646, 543, 930, 824, 941, 3743, 585, 2870, 812, 547, 741, 6010, 8864, 269, 4475, 267, 519, 9120, 4384, 2209, 941, 711, 4805, 950, 3425, 267, 2831, 267, 543, 971, 1919, 899, 2470, 1705, 711, 2291, 563, 7212, 782, 1614, 540, 519, 14868, 1185, 2147, 2093, 267, 693, 930, 1448, 1079, 5137, 14868, 3838, 513, 2147, 2856, 267, 1247, 835, 7242, 1281, 711, 723, 13380, 2093, 899, 519, 824, 1079, 269, 769, 519, 3525, 665, 4095, 7242, 543, 19606, 267, 1312, 14868, 1185, 2831, 602, 3893, 27052, 269, 634, 17680, 3960, 569, 12217, 10751, 538, 519, 3525, 665, 5137, 7242, 729, 547, 3802, 593, 2185, 3952, 543, 2760, 2911, 1586, 269, 1306, 585, 519, 13131, 538, 19606, 267, 621, 1767, 267, 2485, 355, 1575, 517, 789, 17987, 695, 5306, 23524, 979, 267, 543, 7452, 695, 5306, 23524, 3548, 782, 519, 2395, 540, 16815, 1272, 269, 1306, 585, 519, 16726, 1063, 631, 4660, 340, 7242, 543, 19606, 267, 812, 729, 1500, 689, 7452, 563, 2005, 729, 7150, 602, 3047, 9024, 5573, 1500, 812, 950, 646, 3576, 4158, 2699, 3618, 543, 6404, 621, 609, 1216, 267, 543, 1500, 1079, 5515, 267, 835, 513, 812, 543, 835, 513, 2021, 269, 769, 19606, 267, 2696, 1500, 812, 950, 649, 4646, 812, 540, 519, 7452, 540, 519, 2666, 269, 5015, 267, 538, 519, 19606, 267, 543, 538, 519, 3525, 665, 5137, 7242, 267, 1312, 8951, 538, 519, 14868, 27136, 5674, 539, 1317, 540, 741, 7279, 269, 18832, 538, 19606, 729, 5143, 676, 2696, 711, 547, 3548, 689, 519, 1434, 543, 9409, 3529, 543, 3079, 540, 1073, 324, 3539, 267, 1352, 3576, 540, 519, 4829, 23476, 267, 543, 1705, 3548, 269, 769, 519, 3525, 665, 7242, 21708, 9454, 1080, 8250, 729, 5143, 581, 6297, 711, 547, 6529, 707, 2212, 856, 693, 519, 1283, 269, 1306, 513, 1267, 540, 519, 8951, 3423, 908, 519, 6042, 543, 789, 941, 10336, 1242, 269, 2201, 519, 824, 1688, 267, 519, 3604, 1851, 782, 1614, 540, 519, 5137, 14868, 941, 602, 789, 941, 1142, 5143, 8335, 827, 875, 3618, 543, 1004, 3357, 547, 581, 563, 1103, 519, 3525, 665, 7242, 267, 12751, 540, 21708, 13336, 13264, 1055, 519, 1507, 1439, 540, 1010, 9649, 6529, 543, 12235, 519, 4773, 883, 519, 8933, 547, 1118, 581, 28316, 267, 17333, 1562, 267, 543, 24991, 269, 1261, 849, 2813, 2831, 543, 5017, 269, 21708, 9454, 1080, 8250, 9310, 513, 17680, 3960, 569, 7703, 543, 3812, 1082, 1453, 267, 945, 941, 711, 607, 4552, 344, 607, 519, 17680, 3960, 15533, 267, 2943, 1705, 711, 1413, 4010, 899, 741, 6891, 3993, 267, 2901, 269, 769, 519, 631, 4660, 340, 7242, 267, 14854, 5280, 3047, 9024, 5573, 5531, 13897, 269, 2991, 3047, 9024, 5573, 16150, 539, 519, 13897, 3037, 856, 896, 16015, 18969, 267, 543, 856, 621, 538, 547, 13869, 540, 1010, 1688, 543, 18202, 621, 827, 2394, 621, 729, 5180, 543, 827, 519, 2450, 540, 513, 1507, 890, 321, 1076, 269, 901, 646, 9788, 593, 519, 29523, 540, 519, 986, 1111, 267, 543, 4682, 2476, 543, 2451, 621, 563, 16248, 2053, 646, 8120, 547, 1413, 693, 621, 267, 543, 519, 3791, 942, 1336, 602, 621, 1185, 575, 1144, 1360, 1804, 269, 634, 8772, 942, 646, 6743, 693, 621, 621, 729, 607, 2462, 607, 519, 1158, 267, 519, 986, 1111, 729, 593, 2666, 543, 782, 1472, 941, 10239, 269, 3973, 930, 942, 2663, 3047, 9024, 5573, 4956, 547, 1118, 1004, 282, 1924, 646, 3576, 4158, 2699, 3618, 543, 6404, 621, 609, 1216, 267, 543, 1500, 1079, 5515, 267, 835, 812, 543, 835, 4807, 269, 769, 19606, 267, 2696, 2813, 519, 13140, 543, 3618, 543, 25552, 585, 3618, 547, 10536, 2470, 543, 3092, 269, 7083, 2696, 4646, 812, 540, 519, 7452, 540, 519, 2666, 267, 543, 3826, 1117, 883, 1010, 19911, 337, 2812, 519, 7362, 540, 1272, 282, 543, 812, 1831, 2713, 9997, 267, 543, 865, 646, 2813, 1004, 269, 5047, 267, 891, 1614, 14868, 1185, 741, 1378, 1259, 540, 5587, 4328, 875, 1004, 543, 3618, 941, 2813, 269, 0, 2005, 729, 5156, 602, 1065, 5962, 8823, 610, 12592, 30534, 729, 513, 8878, 7271, 585, 1004, 945, 2877, 547, 2149, 873, 1345, 689, 519, 5739, 543, 11213, 8823, 540, 513, 15779, 1995, 630, 22517, 698, 267, 476, 1220, 277, 1040, 2859, 5063, 1065, 5962 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17259, 568, 7543, 610, 1360, 2182, 543, 6368, 646, 5795, 909, 6031, 602, 621, 729, 1360, 2182, 547, 3914, 3791, 6989, 563, 288, 9836, 1305, 540, 6128, 3211, 786, 948, 596, 4001, 707, 1126, 519, 2596, 3741, 540, 2979, 543, 948, 873, 5965, 585, 1153, 269, 6096, 666, 581, 1031, 607, 519, 4493, 585, 10203, 543, 4946, 3756, 543, 824, 2238, 269, 9752, 707, 1126, 609, 3211, 849, 2306, 873, 811, 6899, 609, 3257, 3211, 910, 799, 786, 948, 873, 950, 789, 1205, 547, 9656, 543, 1153, 267, 1141, 3211, 616, 1031, 1169, 1554, 563, 763, 1883, 547, 3450, 6498, 547, 1762, 1053, 602, 723, 1152, 5063, 1044, 5189, 547, 811, 7294, 3029, 540, 6128, 568, 547, 1118, 519, 2875, 1745, 3238, 609, 519, 1184, 267, 15029, 4466, 621, 11791, 693, 519, 1482, 942, 269, 4569, 3211, 616, 2500, 267, 855, 972, 616, 824, 2081, 596, 666, 3927, 4001, 2979, 269, 901, 568, 7168, 1454, 519, 13598, 1106, 540, 3450, 602, 18327, 547, 581, 1034, 2500, 10838, 1453, 543, 1762, 1053, 269, 3143, 2339, 875, 1082, 2053, 596, 1205, 519, 1126, 547, 6445, 856, 513, 6498, 960, 6656, 267, 610, 3132, 6498, 10467, 267, 972, 568, 1100, 9153, 540, 602, 1126, 1373, 2111, 547, 16111, 5838, 609, 606, 2702, 547, 6707, 1685, 6498, 2042, 269, 1411, 991, 547, 2327, 602, 519, 1126, 666, 9305, 547, 519, 6498, 4480, 543, 581, 6026, 538, 513, 1259, 602, 789, 2965, 4431, 547, 269, 9650, 8393, 11423, 856, 3211, 543, 1433, 7410, 1419, 18327, 547, 581, 4502, 1652, 547, 1082, 1453, 563, 15919, 1453, 616, 2016, 13004, 3211, 1141, 789, 723, 547, 5173, 519, 1942, 540, 1919, 610, 960, 856, 875, 1454, 1689, 1058, 581, 2016, 593, 3688, 602, 1942, 1269, 274, 269, 2568, 950, 2576, 3946, 936, 513, 2947, 13362, 3915, 269, 2791, 1223, 798, 519, 1739, 281, 7476, 873, 547, 2681, 538, 543, 2012, 519, 1614, 3688, 269, 1403, 972, 616, 1100, 5961, 593, 519, 4976, 1287, 2285, 873, 513, 6656, 540, 1957, 547, 2721, 543, 2681, 519, 3688, 543, 1287, 2759, 873, 856, 543, 13594, 873, 5196, 519, 4976, 269, 4495, 789, 723, 2944, 713, 2119, 547, 1265, 2947, 9489, 538, 1689, 543, 948, 873, 1293, 856, 519, 2724, 543, 5173, 1018, 568, 2451, 563, 10521, 540, 519, 1655, 3681, 616, 26102, 4569, 543, 589, 4041, 16775, 4569, 269, 5637, 540, 891, 3292, 616, 1134, 31465, 2228, 2979, 3292, 269, 26102, 4569, 6227, 2776, 25575, 5040, 267, 10789, 594, 543, 4083, 267, 607, 1134, 607, 16387, 267, 543, 589, 4041, 16775, 568, 513, 2407, 1982, 585, 9344, 15206, 998, 4400, 3427, 267, 1519, 26344, 5852, 267, 10803, 267, 543, 19098, 269, 1703, 616, 930, 3604, 538, 6881, 2511, 267, 855, 1312, 3292, 3382, 519, 1570, 8499, 267, 543, 782, 602, 513, 2875, 2115, 547, 798, 568, 2845, 538, 267, 723, 741, 15513, 543, 1957, 7404, 267, 543, 2253, 741, 1353, 269, 26102, 4569, 11148, 547, 581, 1732, 9280, 585, 1053, 945, 6952, 593, 547, 2979, 1983, 9425, 3362, 543, 616, 12592, 547, 20928, 741, 960, 269, 4841, 2845, 538, 547, 741, 1576, 267, 2070, 513, 17948, 3992, 267, 543, 960, 998, 6780, 2042, 593, 741, 1378, 269, 24720, 568, 2016, 543, 1053, 666, 849, 2347, 3211, 585, 3063, 2259, 269, 3848, 4255, 616, 3177, 267, 20639, 5612, 267, 543, 3237, 666, 3950, 519, 3356, 2429, 519, 1576, 676, 13156, 2241, 12125, 543, 3446, 2835, 1818, 621, 1360, 2385, 7888, 563, 7883, 532, 547, 9656, 568, 513, 2462, 4308, 585, 1453, 269, 1403, 707, 1126, 1705, 711, 979, 547, 9251, 610, 1256, 952, 646, 1705, 267, 646, 1522, 1745, 930, 31536, 542, 827, 3388, 646, 568, 2469, 547, 991, 547, 917, 950, 646, 4991, 547, 10026, 1153, 269, 4634, 1282, 519, 4832, 3275, 267, 3214, 13472, 18807, 267, 30534, 1034, 540, 1018, 789, 1185, 4121, 1282, 519, 1153, 1032, 267, 3274, 1317, 789, 616, 856, 540, 2259, 269, 13298, 982, 15603, 707, 1126, 1205, 856, 540, 2259, 610, 1745, 856, 540, 1747, 2469, 547, 9656, 267, 596, 666, 946, 1863, 3214, 1565, 3756, 2228, 547, 5818, 707, 1126, 814, 1582, 6015, 543, 3986, 1010, 1983, 1354, 10024, 9656, 563, 30357, 13192, 31624, 2391, 6096, 1280, 16504, 4841, 4400, 3427, 17773, 6096, 12829, 17644, 8018, 1280, 5664, 3427, 4841, 4400, 3427, 11846, 6925, 6096, 932, 11501, 6096, 9977, 11819, 10985, 15026, 476, 279, 628, 6103, 14581, 25420, 5274, 10610, 6096, 5664, 3427, 24614, 6657, 1280, 24771, 4841, 769, 1068, 807, 8018, 5664, 3427, 15783, 1656, 20943, 2045, 6052, 8018, 476, 275, 628, 6103, 7300, 6723, 6115, 6096, 5664, 3427, 5729, 1504, 6096, 16974, 6096, 1280, 5664, 3427, 7849, 28155, 6096, 1280, 476, 274, 6113, 6103, 7300, 26994, 12856, 8018, 476, 278, 628, 6103, 16661, 29698, 8018, 5664, 3427, 13067, 2684, 2158, 8018, 4400, 3427, 8342, 3163, 6096, 5664, 3427, 25355, 14497, 21121, 8018, 6052, 26306, 8018, 476, 279, 628, 6103, 645, 529, 6096, 10222, 9201, 1656, 634, 25355, 14497, 8018, 3752, 28169, 8018, 476, 276, 628, 6103, 12472, 8018, 5664, 3427, 7300, 6599, 657, 11202, 657, 8298, 657, 8018, 4400, 3427, 3689, 4303, 2986, 3427, 11314, 25420, 25745, 6096, 1280, 16504, 4841, 5890, 21505, 29941, 6096, 1280, 5664, 3427, 2776, 25785, 6096, 5664, 3427, 16387, 6096, 476, 1015, 628, 6103, 7300, 8672, 2986, 7348, 6096, 476, 277, 628, 6103, 17361, 8018, 1280, 5664, 3427, 7300, 476, 278, 628, 6103, 11270, 545, 7305, 8018, 15722, 6339, 12384, 8018, 4400, 3427, 18903, 3427, 22084, 4826, 18888, 8018, 7300, 5020, 10341, 6096, 7300, 16504, 4841, 476, 278, 628, 6103, 6478, 10819, 7300, 4053, 4788, 3590, 8018, 5664, 3427, 7300, 9608, 11038, 17402, 476, 276, 628, 6103, 6096, 3474, 7469, 337, 2084, 6657, 5664, 3427, 3689, 4303, 2986, 3427, 6096, 5664, 3427, 1530, 22770, 6103, 3163, 6096, 10789, 6478, 10819, 6096, 4400, 3427, 476, 1015, 628, 6103, 5678, 8551, 6096, 476, 277, 628, 6103, 2776, 25785, 525, 1656, 22206, 1460, 525, 8018, 3474, 7469, 337, 2084, 8018, 5664, 3427, 476, 278, 628, 6103, 5675, 6096, 15026, 30200, 8018, 476, 277, 628, 6103, 7822, 1635, 7089, 5664, 3427, 476, 276, 628, 6103, 13595, 1656, 20530, 6510, 6096, 18903, 3427, 22084, 769, 634, 11848, 8018, 22054, 32746, 618, 8018, 4400, 3427, 6103, 476, 273, 8535, 6096, 5441, 3194, 8018, 1280, 5664, 3427, 5664, 12698, 8018, 4400, 3427, 4521, 2986, 11094, 2986, 17460, 8018, 5664, 3427, 14175, 3427, 15026, 7233, 12856, 1656, 9577, 8018, 476, 275, 628, 6103, 12745, 1849, 1132, 11242, 5664, 3427, 25799, 13482, 6096, 476, 279, 628, 6103, 4400, 3427, 26538, 6096, 5253, 6096, 1280, 4400, 3427, 20530, 1807, 1656, 2776, 344, 8018, 5664, 3427, 5027, 1234, 6473, 8018, 4400, 3427, 8752, 31515, 8018, 5664, 3427, 10658, 22360, 6096, 1280, 5664, 3427, 26790, 8018, 1280, 5664, 3427, 5259, 19088, 1108, 6096, 1280, 5664, 3427, 25355, 14497, 6478, 10819, 8018, 7300, 9370, 6096, 1280, 5664, 3427, 4678, 3363, 1656, 7043, 3363, 6096, 5664, 3427, 10263, 6096, 16504, 32746, 906, 1656, 14840, 14642, 8018, 4400, 3427, 30914, 6096, 1280, 4400, 3427, 9877, 1145, 6096, 1280, 5664, 3427, 4841, 4521, 2986, 8111, 6570, 8018, 5664, 3427, 5794, 16242, 8018, 5664, 3427, 20895, 6657, 8018, 5664, 3427, 7464, 5020, 4569, 6096, 4400, 3427, 12968, 17965, 6096, 1280, 5664, 3427, 11020, 8018, 4400, 3427, 4400, 3427, 26538, 9293, 6096, 17194, 6096, 1280, 5664, 3427, 7300, 1403, 1411, 6875, 589, 31040, 1677, 3427, 6096, 5020, 10341, 6096, 1280, 5664, 3427, 18903, 3427, 22084, 570, 1389, 589, 667, 633, 8018, 4317, 10341, 6096, 1280, 16504, 4841, 476, 277, 628, 6103, 11270, 545, 7305, 6096, 26913, 6096, 1280, 16504, 4841, 11822, 3281, 895, 1656, 13216, 29941, 8018, 476, 277, 628, 6103, 26994, 12856, 8018, 5664, 3427, 13100, 6096, 1280, 5664, 3427, 8752, 1656, 7822, 8018, 5664, 3427, 5303, 6096, 1280, 5664, 3427, 2622, 2782, 476, 273, 6096, 1280, 12729, 12140, 8447, 4065, 6096, 1280, 4400, 3427, 13188, 6096, 1280, 5664, 3427, 7300, 8447, 1656, 11906, 7827, 8018, 476, 276, 628, 6103, 8074, 14171, 6096, 1280, 4400, 17469, 4841, 4400, 3427, 19901, 4569, 6096, 7300, 476, 276, 628, 6103, 6657, 6096, 25080, 12197, 8018, 5664, 3427, 32495, 820, 6096, 1280, 476, 275, 628, 6103, 7300, 10022, 1656, 23155, 27989, 8018, 476, 275, 628, 6103, 26930, 6096, 1280, 16504, 4841, 7909, 7351, 338, 8018, 476, 277, 628, 6103, 4317, 10341, 6096, 4400, 3427, 16677, 580, 872, 8018, 5664, 3427, 4400, 3427, 5530, 10341, 6096, 5463, 5317, 6096, 1280, 5664, 3427, 4841, 4936, 7276, 6096, 476, 277, 628, 6103, 476, 276, 628, 6103, 14333, 18734, 8018, 4317, 16508, 4804, 6096, 4400, 3427, 18049, 6657, 1280, 5664, 3427, 28762, 30735, 923, 8018, 5664, 3427, 7300, 4826, 21694, 8018, 476, 273, 526, 6103, 16661, 532, 1656, 661, 12509, 6096, 476, 277, 628, 6103, 5253, 932, 1622, 1656, 5253, 15750, 6096, 4400, 3427, 5678, 6096, 1280, 476, 276, 628, 6103, 667, 836, 1782, 3525, 8595, 6096, 476, 278, 628, 6103, 5664, 3427, 26538, 6096, 4400, 3427, 13149, 10334, 6096, 476, 274, 6113, 6103, 8535, 6096, 3798, 1746, 6657, 5664, 3427, 476, 279, 628, 6103, 10803, 1656, 17438, 6096, 17826, 6096, 476, 276, 628, 6103, 7300, 5082, 668, 24599, 1143, 8018, 5664, 3427, 2311, 1682, 8018, 476, 276, 628, 6103, 17726, 1656, 20653, 6290, 8018, 5664, 3427, 7822, 1635, 7089, 4569, 6096, 1280, 5664, 3427, 7300, 17323, 10934, 10341, 6096, 4400, 3427, 25355, 14497, 23738, 26664, 8018, 674, 2426, 328, 6096, 5664, 3427, 11066, 1656, 18412, 6096, 476, 279, 628, 6103, 5664, 3427, 10803, 6096, 7300, 5664, 3427, 8212, 6096, 29626, 17726, 8018, 476, 277, 628, 6103, 25779, 17553, 8018, 1280, 5664, 3427, 4841, 7300, 5606, 2397, 5999, 476, 274, 6113, 6103, 8342, 4569, 6096, 1280, 4400, 3427, 10789, 7300, 20550, 13239, 6096, 5664, 3427, 24542, 6096, 4400, 3427, 18815, 6096, 1280, 5664, 3427, 4039, 4192, 17796, 8018, 5664, 3427, 23016, 6096, 1280, 16504, 4841, 32495, 820, 6096, 1280, 4400, 3427, 18903, 3427, 22084, 14175, 268, 10809, 8018, 26085, 8018, 5664, 3427, 10886, 5811, 8018, 5664, 3427, 12745, 1849, 1132, 6657, 4400, 3427, 3047, 3163, 6096, 4400, 3427, 7300, 27275, 16661, 6096, 1280, 5664, 3427, 10789, 545, 25705, 4400, 3427, 6096, 18395, 6096, 4400, 3427, 7300, 18903, 3427, 22084, 6052, 8018, 8285, 6096, 1280, 5664, 3427, 7300, 8641, 532, 6096, 1280, 5664, 3427, 7300, 18903, 3427, 22084, 3619, 525, 8426, 983, 8018, 5131, 25355, 14497, 8018, 1280, 3962, 21121, 4855, 634, 31932, 20099, 13053, 16572, 8018, 5664, 3427, 16672, 2986, 14412, 8018, 4400, 3427, 8285, 16974, 25420, 1280, 5664, 3427, 7831, 4303, 2986, 3427, 6096, 7300, 12745, 1849, 1132, 6096, 4400, 3427, 7300, 1230, 9134, 1230, 557, 794, 24658, 8018, 5664, 3427, 8950, 4147, 6096, 29972, 6096, 5664, 3427, 5450, 1023, 6348, 5471, 1023, 5450, 718, 4026, 626, 8018, 5664, 3427, 32471, 748, 3590, 8018, 5664, 3427, 14572, 25355, 14497, 8018, 7982, 1677, 3427, 6096, 476, 275, 628, 6103, 3427, 29960, 6096, 8431, 584, 894, 5678, 6096, 476, 279, 628, 6103, 9147, 27859, 6096, 476, 277, 628, 6103, 25069, 322, 6096, 1280, 5664, 3427, 7300, 24366, 11242, 1280, 5664, 3427, 476, 278, 628, 6103, 10960, 11154, 725, 6096, 26538, 6096, 1280, 5664, 3427, 7300, 9442, 6096, 1280, 5664, 3427, 8672, 2986, 7348, 6096, 7300, 476, 275, 628, 6103, 2494, 28685, 20121, 4176, 6096, 476, 279, 628, 6103, 570, 821, 1656, 28239, 8018, 4400, 3427, 5027, 6096, 4400, 3427, 15722, 6339, 12384, 8018, 5664, 3427, 7300, 9891, 3590, 6096, 4400, 3427, 11660, 6396, 8018, 4400, 3427, 7300, 476, 278, 628, 6103, 6226, 24304, 3590, 8018, 476, 278, 628, 6103, 3115, 8793, 3590, 6096, 25355, 14497, 10658, 14794, 8018, 31214, 6096, 1280, 4400, 3427, 7300, 8564, 633, 6601, 5338, 8018, 5664, 3427, 4400, 3427, 20970, 6096, 6732, 3427, 6096, 3689, 22707, 6096, 1280, 4400, 3427, 12197, 25676, 11314, 16847, 26157, 29941, 8018, 4400, 3427, 0, 5978, 27527, 585, 519, 2250, 568, 1175, 538, 8167, 547, 938, 22293, 540, 621, 563, 288, 1390, 2856, 568, 2356, 3312, 547, 811, 982, 835, 1167, 913, 17243, 269, 4279, 2093, 2097, 950, 519, 1158, 2115, 873, 269, 1358, 3295, 519, 1158, 781, 22293, 543, 2046, 585, 16075, 563, 14738, 2932, 666, 2760, 267, 4849, 676, 930, 4686, 8009, 267, 581, 15469, 676, 22293, 610, 12042, 1229, 676, 1702, 563, 306, 18561, 568, 855, 3368, 27618, 267, 31414, 568, 855, 3368, 6192, 267, 1247, 6634, 540, 1954, 18779, 609, 16018, 538, 741, 3946, 616, 2451, 1510, 2069, 269, 10456, 547, 873, 267, 519, 10304, 540, 519, 2276, 538, 799, 789, 2661, 267, 519, 3106, 540, 519, 2898 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17600, 676, 9601, 563, 268, 634, 3670, 11546, 322, 1228, 6040, 9040, 686, 11792, 329, 573, 15539, 814, 14754, 1896, 3978, 1199, 9911, 8942, 547, 1265, 513, 1259, 856, 267, 9039, 540, 799, 26857, 1022, 1267, 563, 268, 1703, 786, 849, 581, 519, 3390, 540, 7446, 18657, 2209, 267, 2348, 8471, 3398, 1464, 1851, 519, 2551, 789, 616, 8204, 563, 268, 32027, 519, 5539, 540, 4466, 513, 3070, 593, 1906, 1004, 1118, 873, 606, 2653, 2797, 3077, 538, 2013, 540, 8801, 3375, 563, 268, 1703, 568, 1360, 1447, 8458, 540, 1022, 6571, 547, 2097, 856, 607, 9039, 540, 519, 5428, 1616, 547, 14207, 1813, 547, 2797, 543, 3909, 2604, 19962, 547, 606, 9000, 540, 13618, 543, 11558, 3976, 1951, 21794, 519, 2339, 22543, 17802, 563, 3963, 2405, 2747, 568, 513, 1434, 2856, 888, 268, 9453, 16395, 543, 17260, 972, 616, 8458, 602, 7040, 779, 1931, 1131, 581, 26991, 543, 3765, 4310, 585, 8236, 741, 25796, 543, 5609, 3563, 6662, 676, 930, 2609, 267, 3976, 8757, 606, 6876, 676, 12909, 666, 8207, 713, 3390, 993, 545, 2406, 563, 268, 7040, 779, 1931, 711, 547, 1867, 519, 23312, 568, 513, 8799, 2856, 547, 1832, 519, 3390, 689, 2184, 545, 5314, 563, 268, 1677, 1832, 519, 6105, 1202, 4327, 689, 3544, 13779, 267, 519, 5480, 814, 9859, 606, 2048, 514, 2275, 600, 5028, 685, 1184, 547, 2327, 602, 519, 3356, 540, 519, 16395, 568, 1634, 1152, 547, 519, 6105, 7255, 563, 268, 18227, 856, 2797, 543, 1528, 28672, 7156, 1131, 581, 1271, 543, 602, 568, 2009, 1152, 998, 513, 12560, 3070, 563, 5475, 30228, 519, 1178, 1597, 612, 543, 642, 664, 3646, 538, 713, 2013, 267, 3843, 547, 3142, 513, 12560, 11175, 568, 513, 22205, 1900, 269, 3767, 621, 2115, 547, 581, 24458, 602, 9039, 540, 519, 5428, 568, 6766, 676, 3544, 1379, 543, 2230, 814, 1044, 2016, 547, 519, 6105, 547, 1265, 513, 24117, 3375, 269, 0, 17812, 816, 3619, 525, 2201, 1234, 947, 9453, 27953, 476, 5780, 27264, 8750, 338, 305, 719, 324, 476, 5780, 267, 849, 1572, 519, 834, 300, 1278, 10003, 2437, 729, 4535, 538, 476, 4572, 277, 1310, 519, 13163, 540, 5398, 10003, 338, 9250, 519, 4182, 781, 1101, 5313, 19814, 1062, 267, 8744, 1927, 4540, 2199, 543, 1533, 9897, 689, 9628, 998, 853, 269, 8402, 547, 11968, 13353, 563, 23945, 1530, 4060, 1677, 5071, 622, 27953, 476, 5780, 1306, 2817, 19866, 20417, 288, 1007, 11556, 3001, 998, 6837, 11394, 547, 1374, 622, 27953, 476, 5780, 267, 519, 19814, 602, 4448, 9628, 547, 11968, 13353, 543, 729, 2899, 606, 2804, 9920, 585, 1507, 10034, 2066, 513, 2022, 28131, 2782, 4083, 2136, 2276, 267, 607, 513, 2817, 19866, 20417, 563, 26877, 12437, 1677, 18270, 622, 476, 1911, 628, 7788, 15208, 2986, 27953, 476, 5780, 763, 12624, 10003, 6238, 538, 9628, 543, 12599, 547, 4993, 563, 305, 719, 324, 476, 5780, 1520, 4765, 1677, 5903, 540, 3013, 781, 4107, 29510, 23089, 30399, 1634, 607, 968, 25567, 320, 779, 8111, 6953, 662, 3118, 2223, 2413, 6377, 27953, 476, 5780, 814, 4503, 513, 2603, 540, 519, 561, 13831, 621, 1185, 538, 922, 2022, 8862, 310, 2862, 30971, 1485, 1765, 3724, 950, 519, 19814, 3090, 1242, 513, 1007, 2804, 1376, 585, 519, 772, 2529, 563, 9303, 7595, 834, 291, 749, 681, 9996, 779, 26560, 31336, 257, 27953, 476, 5780, 6178, 570, 2586, 13560, 1677, 2142, 4676, 7875, 1639, 288, 19440, 4062, 540, 1977, 320, 3544, 513, 28180, 13962, 2059, 27953, 476, 5780, 814, 1044, 3144, 1524, 585, 519, 1101, 942, 538, 476, 10170, 1296, 563, 276, 18771, 4149, 2465, 20079, 2201, 2659, 29268, 10003, 25676, 288, 9043, 540, 519, 2947, 1590, 268, 5408, 4872, 593, 513, 4155, 7552, 998, 519, 29268, 454, 300, 755, 4149, 2465, 26317, 13966, 27953, 476, 5780, 288, 1413, 693, 2947, 1590, 268, 5408, 4609, 2059, 835, 540, 3013, 781, 1034, 4583, 28565, 4534, 27953, 476, 5780, 454, 288, 3778, 700, 1478, 781, 13488, 6651, 1677, 9628, 763, 9628, 4826, 18975, 267, 16827, 5244, 543, 654, 3419, 2917, 12197, 616, 1851, 519, 1590, 1294, 18845, 538, 9628, 585, 1686, 18798, 563, 16032, 681, 309, 10003, 10222, 1186, 769, 634, 2475, 3080, 540, 519, 1655, 2081, 547, 2263, 3013, 781, 1390, 13964, 568, 609, 606, 681, 309, 563, 24336, 9906, 27336, 1161, 538, 9628, 2991, 29303, 4107, 2986, 27953, 476, 5780, 288, 1507, 20314, 550, 540, 1010, 5816, 3988, 1558, 15196, 328, 744, 8500, 836, 2282, 12722, 543, 12309, 22971, 607, 646, 8868, 539, 1010, 9126, 547, 513, 3247, 2282, 519, 1129, 602, 7436, 519, 1439, 540, 27953, 476, 5780, 563, 305, 719, 324, 476, 5780, 717, 1115, 11272, 932, 1173, 532, 853, 725, 769, 13325, 763, 1788, 786, 1450, 10256, 540, 3167, 6517, 547, 24680, 2059, 519, 476, 4968, 28902, 12701, 689, 8235, 12309, 547, 519, 14967, 5211, 2282, 853, 269, 8402, 563, 1015, 12085, 1411, 9894, 333, 1405, 5700, 6168, 9628, 6624, 917, 9628, 568, 1634, 607, 834, 1492, 6489, 344, 4975, 257, 543, 654, 3419, 2917, 12197, 568, 835, 540, 3013, 781, 9510, 13836, 30806, 338, 267, 855, 972, 616, 513, 2603, 540, 824, 1919, 827, 713, 1390, 2749, 602, 616, 711, 4922, 1634, 563, 7197, 21434, 31950, 2044, 21661, 3013, 13729, 513, 4266, 547, 979, 3695, 930, 540, 519, 1034, 18198, 569, 4190, 29278, 538, 3013, 269, 3509, 540, 519, 1034, 11509, 29278, 6753, 538, 3013, 666, 581, 1336, 593, 16678, 10195, 267, 31314, 1851, 519, 10239, 543, 2059, 8978, 28565, 563, 9303, 20187, 590, 904, 22427, 1188, 29853, 32010, 589, 3118, 12875, 1235, 2201, 27953, 476, 5780, 2304, 14787, 543, 27369, 540, 27953, 476, 5780, 3081, 519, 8978, 3993, 4155, 547, 519, 533, 6680, 13272, 568, 3478, 32761, 539, 676, 18114, 1210, 513, 7372, 26848, 4099, 538, 6263, 4432, 6229, 13325, 267, 5359, 654, 289, 13696, 779, 3627, 595, 1328, 563, 4002, 5565, 5453, 1564, 281, 3013, 781, 7454, 645, 833, 20121, 5209, 2467, 779, 711, 1454, 1732, 982, 7487, 3013, 593, 513, 17919, 269, 3371, 616, 1175, 2947, 540, 519, 1655, 11332, 18353, 538, 3013, 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 ]
[ 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 938, 1576, 1770, 827, 7435, 9248, 256, 5620, 596, 2479, 2219, 827, 875, 1271, 621, 568, 547, 3251, 2922, 1247, 2348, 1187, 610, 2324, 286, 2107, 6148, 596, 4312, 9289, 1018, 1346, 10477, 4191, 609, 6698, 1611, 950, 596, 3643, 1007, 4025, 899, 15882, 267, 31768, 11614, 267, 610, 1256, 707, 1378, 1153, 286, 4270, 267, 2221, 649, 786, 2263, 891, 2055, 1927, 2439, 5331, 952, 1169, 1747, 1185, 922, 2189, 1259, 540, 9963, 1004, 827, 8594, 267, 4758, 5528, 1282, 18002, 267, 610, 22348, 873, 827, 3652, 910, 9327, 1405, 602, 581, 14845, 286, 2334, 781, 1141, 1945, 1572, 834, 338, 23245, 4191, 257, 2097, 538, 13561, 256, 1358, 948, 721, 1174, 1018, 547, 798, 543, 1018, 711, 547, 798, 3533, 267, 1100, 2339, 1141, 649, 616, 780, 3086, 1577, 803, 6338, 596, 547, 513, 2027, 1826, 540, 3106, 1129, 1107, 1688, 6786, 256, 5994, 3843, 547, 5968, 827, 3106, 1210, 1152, 17267, 282, 4992, 7168, 3579, 267, 1318, 286, 32288, 16146, 267, 1272, 7666, 1841, 267, 7128, 10492, 267, 543, 1082, 824, 4648, 1419, 946, 1688, 6786, 1317, 789, 666, 581, 6956, 14678, 543, 1810, 1405, 2154, 1022, 1893, 1983, 269, 1215, 5863, 568, 602, 2496, 4131, 781, 4685, 4514, 883, 835, 1383, 281, 1705, 596, 917, 972, 781, 513, 1808, 1688, 5365, 1031, 5001, 547, 5815, 1412, 17380, 262, 610, 1412, 323, 9734, 286, 262, 898, 781, 2241, 1107, 1175, 3180, 856, 707, 13869, 6849, 4464, 607, 952, 596, 941, 16069, 6808, 269, 901, 23972, 2337, 1832, 3025, 2922, 1472, 4070, 4609, 267, 11112, 9897, 267, 610, 1256, 19209, 3756, 780, 3719, 7227, 267, 945, 2306, 2386, 3025, 3096, 519, 1482, 1688, 6786, 9846, 2066, 2477, 543, 6080, 286, 4279, 2243, 256, 589, 1895, 540, 6082, 3357, 1927, 543, 8815, 2390, 1455, 4441, 585, 971, 4191, 269, 2290, 971, 6876, 568, 1634, 607, 519, 10566, 8881, 20050, 6034, 633, 476, 10844, 270, 6812, 27582, 4488, 267, 799, 7512, 32301, 1851, 3864, 5742, 2818, 269, 1924, 1631, 267, 2436, 596, 2951, 547, 8050, 610, 13785, 267, 519, 3247, 1688, 5365, 3788, 519, 1482, 269, 15346, 267, 26001, 2496, 1103, 930, 2665, 267, 4031, 17997, 891, 3106, 4808, 269, 1280, 3236, 267, 1934, 538, 938, 2197, 267, 649, 1246, 519, 2657, 543, 8881, 630, 32552, 20050, 543, 6178, 1023, 22769, 264, 476, 1960, 277, 267, 4180, 602, 3506, 267, 13646, 267, 15327, 267, 543, 824, 28737, 2226, 5812, 3106, 2853, 780, 3383, 3314, 267, 1985, 942, 596, 1294, 2576, 1818, 513, 15116, 1688, 23972, 610, 5544, 513, 9490, 3090, 267, 1491, 513, 4090, 547, 1451, 1018, 621, 4564, 269, 11310, 540, 3106, 4191, 1223, 2490, 596, 883, 513, 5363, 3391, 585, 2828, 543, 1920, 610, 1256, 4688, 2729, 14693, 269, 5901, 1565, 267, 3395, 267, 543, 9363, 8049, 827, 519, 1158, 1472, 596, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 4322, 22769, 4547, 883, 3196, 519, 10566, 8881, 20050, 6034, 633, 476, 10844, 270, 6812, 27582, 4488, 593, 519, 11865, 543, 946, 540, 3106, 4191, 269, 634, 3106, 4191, 1463, 633, 729, 7550, 676, 782, 3864, 5742, 4759, 2829, 593, 476, 2190, 4873, 476, 1960, 273, 267, 799, 18931, 519, 991, 585, 782, 28737, 547, 723, 3362, 2369, 529, 762, 4191, 543, 6698, 11341, 547, 3106, 6927, 543, 5000, 519, 3044, 5314, 540, 3106, 4191, 2429, 519, 4759, 2829, 540, 519, 3864, 5742, 865, 602, 3106, 4191, 267, 16382, 789, 616, 2938, 267, 723, 519, 1482, 2495, 269, 769, 713, 2197, 267, 519, 6034, 633, 814, 1044, 8045, 998, 519, 2657, 543, 8881, 630, 32552, 20050, 543, 6178, 1023, 22769, 264, 476, 1960, 277, 269, 1452, 6042, 4019, 547, 782, 4025, 540, 960, 4988, 676, 519, 2657, 543, 8881, 693, 960, 3092, 2920, 476, 3192, 275, 563, 763, 22769, 3382, 1585, 1797, 540, 14379, 1072, 543, 3106, 1344, 269, 1452, 1331, 519, 946, 540, 25139, 4191, 267, 1688, 543, 17974, 6786, 267, 552, 3052, 269, 3595, 32302, 267, 9275, 2792, 543, 519, 16287, 540, 10612, 960, 5627, 5906, 6878, 269, 1452, 616, 538, 1039, 328, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 21652, 9248, 257, 607, 851, 540, 834, 15771, 6579, 5308, 8008, 14176, 1315, 13129, 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, 713, 3184, 267, 649, 786, 5490, 883, 519, 28622, 540, 4008, 543, 6710, 1369, 519, 2796, 540, 4683, 6940, 267, 2825, 10350, 267, 543, 1648, 3609, 269, 1284, 786, 1445, 593, 875, 891, 2188, 1764, 1970, 28003, 2749, 7004, 267, 1210, 30715, 345, 1156, 267, 3624, 607, 513, 2013, 1353, 269, 1635, 3695, 519, 2078, 1063, 4008, 267, 6710, 267, 543, 1970, 28003, 2749, 7341, 267, 649, 2832, 547, 1683, 513, 4514, 1620, 540, 519, 10848, 4478, 4264, 4683, 1646, 543, 2709, 4030, 602, 666, 1217, 4507, 543, 2853, 6322, 693, 4227, 6710, 543, 5466, 2916, 1689, 780, 272, 269, 13834, 543, 24770, 281, 1323, 11137, 692, 6524, 11362, 883, 519, 1808, 2013, 540, 30715, 345, 1156, 267, 1577, 721, 1101, 3715, 513, 13654, 1620, 540, 4008, 543, 6710, 269, 13834, 8635, 814, 1279, 1044, 6444, 607, 513, 1713, 3815, 7700, 547, 6710, 267, 3226, 538, 3384, 2477, 269, 6468, 616, 1419, 25409, 4299, 676, 6710, 1813, 547, 11528, 7496, 971, 607, 3908, 1569, 547, 2069, 267, 3782, 267, 543, 7694, 3255, 269, 1452, 13103, 616, 2417, 28978, 538, 4683, 5054, 1141, 2200, 949, 2907, 581, 17077, 543, 6735, 585, 873, 568, 1164, 780, 303, 20191, 3294, 568, 17326, 7645, 267, 21214, 711, 1152, 13075, 3344, 855, 849, 1514, 267, 2797, 267, 543, 2686, 7516, 269, 4658, 2713, 538, 6710, 1419, 3068, 954, 22366, 14145, 643, 725, 971, 607, 4057, 1072, 267, 3668, 540, 1569, 547, 2298, 2069, 267, 543, 1514, 17181, 269, 4197, 6710, 998, 606, 10167, 531, 7828, 2636, 721, 547, 5431, 875, 1585, 3029, 540, 7130, 543, 30886, 1107, 1519, 1346, 1759, 593, 4008, 267, 5198, 267, 14940, 267, 2085, 267, 2702, 267, 543, 4638, 10066, 1107, 2170, 543, 3565, 547, 10770, 9979, 540, 6710, 780, 272, 269, 12124, 20885, 543, 7025, 26291, 692, 763, 1523, 540, 4683, 6940, 7740, 1472, 2870, 561, 22133, 267, 12581, 267, 543, 14388, 4872, 602, 2743, 519, 2115, 540, 1459, 5481, 1510, 18731, 519, 2702, 540, 2104, 5481, 547, 2743, 741, 1378, 2115, 269, 19793, 1324, 4683, 6940, 3340, 2500, 2825, 10350, 267, 799, 4016, 547, 519, 3157, 267, 5238, 267, 543, 11051, 3238, 538, 3375, 6194, 543, 2359, 540, 4683, 8134, 780, 1103, 519, 2796, 540, 1970, 28003, 2749, 14759, 267, 2825, 10350, 4249, 513, 2565, 1909, 538, 5009, 12581, 1569, 547, 2200, 1247, 10893, 2942, 5222, 593, 519, 1604, 269, 21988, 1970, 28003, 2749, 7341, 1590, 2015, 519, 2189, 2591, 5185, 676, 1114, 12415, 540, 2486, 267, 1519, 2021, 543, 824, 12790, 2516, 267, 547, 2327, 602, 13289, 4724, 811, 4264, 4683, 1949, 798, 711, 28511, 4540, 16526, 780, 272, 269, 634, 8865, 540, 30715, 345, 1156, 281, 8899, 4211, 12365, 4975, 26306, 543, 13834, 25734, 692, 306, 1156, 345, 1156, 267, 3624, 3091, 606, 4277, 2013, 1353, 585, 6313, 519, 3347, 1851, 4008, 267, 6710, 267, 543, 1970, 28003, 2749, 14759, 269, 1306, 835, 540, 519, 1158, 781, 21836, 2706, 4872, 543, 519, 9803, 3327, 12998, 8515, 2749, 538, 3624, 267, 30715, 345, 1156, 6799, 1312, 3255, 543, 2591, 585, 8236, 4264, 4683, 1646, 780, 10932, 593, 30715, 345, 1156, 781, 1970, 28003, 2749, 11036, 8761, 1896, 1883, 4681, 3823, 4008, 7862, 543, 6710, 5786, 1384, 320, 269, 5682, 6009, 5137, 281, 8899, 28003, 2749, 14759, 666, 5352, 1007, 7694, 3255, 538, 9922, 971, 607, 7791, 1648, 267, 1648, 4398, 267, 543, 3653, 2359, 269, 1717, 267, 4180, 3160, 1569, 547, 891, 3039, 6009, 585, 2367, 543, 2021, 3788, 513, 4161, 269, 18964, 4775, 7589, 538, 1875, 13652, 6463, 23909, 543, 3246, 6098, 2866, 3292, 666, 948, 8115, 713, 7934, 780, 321, 269, 6052, 6710, 281, 6736, 2949, 2804, 2208, 267, 930, 2950, 1369, 30715, 345, 1156, 3136, 547, 6560, 609, 1648, 6710, 1107, 3989, 607, 16283, 1569, 547, 10097, 267, 6325, 267, 543, 2973, 1648, 2533, 269, 6468, 267, 945, 4043, 547, 7703, 3152, 5539, 585, 7622, 26050, 543, 1416, 960, 267, 616, 1419, 25409, 4299, 676, 1648, 6710, 269, 24727, 6322, 693, 5355, 1648, 1569, 1058, 1491, 883, 2272, 575, 25311, 3270, 540, 1648, 946, 543, 4616, 780, 322, 269, 5398, 6278, 543, 7589, 281, 13229, 2825, 10350, 12346, 593, 6209, 1857, 6278, 543, 7589, 538, 3375, 6194, 3157, 269, 23496, 8537, 6041, 540, 3309, 8639, 267, 1519, 2021, 543, 12790, 2516, 267, 568, 1898, 585, 5807, 12581, 4093, 538, 1970, 28003, 2749, 14759, 780, 323, 269, 4065, 543, 4390, 2679, 281, 21278, 3872, 3255, 543, 4390, 20671, 3292, 5059, 593, 6940, 2152, 666, 7668, 2043, 547, 7119, 811, 3927, 538, 2199, 10350, 3889, 543, 3565, 547, 6626, 6848, 2242, 269, 28080, 9643, 3646, 547, 4497, 6690, 543, 1762, 2021, 538, 13241, 4610, 630, 14396, 267, 2029, 267, 4702, 267, 543, 6128, 1070, 585, 1383, 267, 666, 948, 1628, 513, 811, 3309, 13007, 18180, 5827, 540, 6117, 5647, 543, 14027, 4264, 3435, 780, 272, 269, 10390, 692, 18698, 519, 4296, 1851, 4008, 267, 6710, 267, 543, 1970, 28003, 2749, 14759, 8711, 519, 2956, 540, 6236, 10167, 531, 5380, 950, 8888, 543, 7598, 4683, 6940, 7341, 269, 1635, 9301, 543, 5466, 519, 2189, 2591, 5185, 676, 2021, 543, 824, 12790, 2516, 267, 14519, 543, 9439, 666, 960, 4724, 2870, 811, 12581, 267, 4264, 4872, 602, 4324, 782, 2818, 540, 2486, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2752, 12087, 4041, 1923, 8222, 281, 1015, 269, 20385, 4510, 270, 2181, 21646, 1001, 2568, 278, 269, 25484, 274, 18192, 272, 454, 20428, 281, 4317, 7070, 267, 11572, 3163, 27511, 281, 4683, 6940, 282, 2825, 10350, 282, 1648, 3609, 454, 15697, 281, 476, 2767, 5147, 476, 1001, 277, 630, 4962, 281, 6321, 281, 6321, 595, 12239, 994, 2026, 519, 1158, 779, 2034, 4102, 4346, 267, 3624, 16034, 2179, 519, 1158, 779, 1283, 6082, 950, 621, 2501, 547, 3327, 12998, 267, 543, 4061, 922, 10182, 2509, 2916, 1689, 568, 5702, 4553, 676, 782, 6105, 7255, 269, 1703, 723, 1044, 1906, 29622, 593, 519, 1909, 540, 2825, 10350, 538, 1970, 28003, 2749, 7004, 1184, 267, 2523, 519, 4457, 835, 269, 901, 1957, 9382, 519, 1909, 540, 2229, 2825, 7939, 5129, 538, 519, 1970, 28003, 2749, 7004, 1184, 676, 2921, 30715, 345, 1156, 607, 519, 1382, 1843, 269, 2290, 540, 519, 1158, 781, 21836, 2706, 4872, 267, 621, 849, 4523, 547, 581, 519, 9803, 3327, 12998, 8515, 2749, 538, 3624, 269, 5899, 1516, 547, 2263, 3039, 1970, 28003, 1646, 2619, 585, 519, 2898, 2197, 267, 30715, 345, 1156, 2488, 4052, 1995, 585, 2477, 547, 11883, 609, 2518, 2916, 1689, 269, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 29638, 543, 24770, 257, 607, 851, 540, 834, 24719, 13316, 1315, 24770, 1299, 13067, 6804, 1145, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 834, 291, 2884, 776, 13832, 585, 4457, 3427, 27070, 5753, 630, 1708, 273, 17983, 568, 5950, 2073, 543, 621, 454, 529, 5227, 602, 1453, 4235, 5144, 1169, 1554, 267, 4235, 2614, 1216, 267, 543, 3548, 513, 1434, 14254, 454, 4002, 2904, 476, 866, 267, 519, 834, 291, 2884, 776, 13832, 585, 4457, 3427, 27070, 5753, 630, 1708, 273, 17983, 630, 1877, 2088, 1123, 5219, 547, 607, 519, 834, 21980, 3894, 8442, 6896, 676, 519, 4457, 12594, 5980, 729, 13166, 5950, 269, 8191, 5511, 6098, 8192, 5583, 563, 277, 268, 1240, 1296, 2025, 568, 513, 2565, 1974, 454, 294, 784, 2871, 334, 336, 21628, 267, 1244, 14280, 8689, 540, 519, 5253, 4972, 540, 519, 2817, 2657, 543, 2657, 8189, 267, 11329, 856, 602, 538, 2487, 1296, 267, 519, 6484, 543, 1072, 540, 1153, 21943, 1453, 538, 1250, 2197, 723, 1044, 7494, 4824, 267, 855, 789, 1869, 3068, 1082, 2042, 269, 6184, 11211, 6981, 540, 25050, 19153, 568, 849, 1360, 1455, 563, 4002, 519, 824, 1688, 267, 519, 7020, 2557, 540, 14968, 543, 8377, 5170, 547, 4473, 267, 543, 519, 2208, 7678, 568, 6654, 563, 18662, 21943, 1453, 616, 1295, 832, 689, 519, 2085, 540, 476, 277, 547, 896, 476, 1240, 563, 30538, 2871, 753, 26907, 267, 13030, 28579, 540, 519, 4457, 12594, 5980, 543, 1244, 14280, 8689, 540, 519, 4274, 12233, 585, 519, 14469, 540, 519, 1007, 834, 10817, 728, 2580, 1767, 602, 1282, 713, 1974, 267, 1453, 1332, 543, 1020, 6385, 267, 543, 7850, 6484, 568, 519, 1570, 4493, 585, 741, 3339, 1646, 540, 4987, 543, 26430, 267, 543, 1256, 15400, 1072, 563, 4263, 519, 1482, 942, 267, 713, 568, 849, 513, 2565, 1974, 585, 519, 5250, 540, 513, 1268, 781, 4189, 2623, 543, 6197, 267, 543, 3384, 513, 2635, 4189, 2623, 543, 6197, 689, 606, 2038, 2085, 786, 4324, 873, 585, 1272, 563, 257, 18662, 27070, 9990, 257, 8591, 476, 276, 1007, 4808, 454, 763, 13832, 5950, 713, 942, 616, 1759, 593, 519, 26678, 13832, 585, 4457, 1763, 6342, 630, 1708, 273, 264, 543, 2687, 547, 519, 6484, 543, 1072, 4567, 540, 1153, 27070, 1453, 538, 1250, 2197, 267, 519, 1739, 2947, 3741, 723, 1044, 3773, 912, 272, 269, 2920, 1947, 7119, 538, 1426, 5542, 543, 2504, 547, 2087, 8770, 6484, 454, 9596, 827, 1426, 6484, 563, 308, 2955, 1426, 267, 1174, 519, 2078, 1063, 1426, 543, 519, 1604, 543, 1072, 267, 1174, 543, 27836, 4457, 1426, 2528, 282, 4628, 1174, 519, 2956, 540, 10257, 6484, 267, 543, 3715, 513, 3661, 538, 1373, 3743, 585, 835, 781, 1378, 1072, 543, 2623, 563, 8002, 1947, 7119, 538, 1426, 5542, 543, 7041, 563, 4692, 1224, 1426, 10297, 267, 4444, 543, 5965, 1426, 609, 1920, 2818, 1510, 27830, 1426, 267, 543, 666, 1118, 1426, 6292, 902, 563, 295, 2345, 543, 3506, 1628, 2635, 1426, 5054, 563, 273, 269, 16202, 513, 1434, 14254, 267, 3442, 16152, 21230, 267, 543, 11349, 2635, 4189, 5615, 454, 28848, 21066, 267, 711, 1373, 4584, 344, 827, 9864, 17772, 2354, 525, 267, 711, 31952, 11661, 267, 543, 3384, 2635, 4189, 5615, 563, 2414, 3035, 1614, 6980, 513, 1554, 267, 2834, 11050, 267, 4189, 3652, 563, 17954, 752, 9724, 3536, 1058, 1331, 1614, 610, 811, 540, 519, 2185, 2010, 540, 3536, 267, 1519, 24799, 543, 12277, 267, 5388, 543, 5613, 267, 3662, 3536, 267, 543, 5144, 267, 13386, 28369, 543, 10808, 563, 292, 520, 1507, 16152, 1063, 6980, 543, 3442, 2973, 267, 8770, 1673, 1619, 3536, 607, 16152, 563, 2691, 4189, 856, 267, 2628, 3007, 547, 10257, 2458, 6327, 543, 3548, 1447, 3536, 1164, 538, 6070, 267, 4006, 543, 3170, 563, 274, 269, 27276, 5144, 1169, 1554, 267, 4235, 2614, 1216, 267, 798, 711, 4235, 24494, 10425, 267, 543, 10238, 527, 4568, 454, 7804, 1074, 5144, 1169, 1554, 267, 476, 4968, 6447, 610, 811, 540, 5277, 5144, 610, 606, 6697, 2179, 540, 10683, 2472, 829, 1554, 563, 8002, 1947, 4235, 2614, 1216, 267, 476, 8517, 268, 9610, 271, 6447, 829, 1554, 267, 3043, 1216, 568, 519, 1101, 3903, 563, 2710, 711, 4235, 610, 4235, 1447, 4006, 1606, 11548, 2989, 16098, 267, 1577, 4805, 5372, 1216, 609, 4006, 1606, 11548, 2989, 16098, 563, 2704, 4022, 543, 23931, 16098, 616, 19275, 563, 275, 269, 2859, 9205, 2238, 267, 1447, 5496, 942, 267, 811, 982, 476, 2568, 3764, 540, 9793, 547, 1164, 27233, 2168, 2534, 829, 1554, 454, 16914, 636, 3634, 693, 2547, 476, 2568, 3764, 540, 9793, 3562, 8686, 580, 5387, 2168, 2534, 1142, 1554, 563, 4263, 2547, 476, 274, 24526, 27233, 2168, 2534, 267, 476, 274, 4187, 543, 5642, 20671, 2238, 829, 3018, 563, 19102, 848, 707, 942, 13964, 563, 24965, 576, 25161, 942, 267, 1100, 811, 982, 476, 273, 3108, 540, 5496, 942, 513, 1554, 267, 519, 1447, 519, 1732, 563, 13014, 2386, 596, 1205, 2614, 3207, 563, 29261, 267, 3506, 267, 543, 2950, 960, 1927, 547, 1711, 606, 3742, 2168, 2534, 1604, 602, 7512, 1453, 547, 4487, 693, 2547, 835, 5179, 5578, 563, 276, 269, 17115, 6895, 2168, 1646, 543, 2226, 1697, 2597, 2208, 454, 19894, 569, 2268, 4463, 543, 2597, 547, 6895, 2208, 543, 1646, 563, 28557, 1620, 540, 1560, 3337, 267, 3621, 10385, 540, 2597, 4567, 563, 3725, 32208, 2732, 267, 3742, 2168, 2534, 267, 6604, 540, 9422, 19518, 543, 14968, 543, 8377, 563, 31714, 267, 3885, 267, 3506, 267, 543, 2486, 7119, 538, 519, 6604, 543, 1852, 540, 6689, 8377, 563, 30538, 2871, 753, 26907, 6045, 602, 4189, 513, 14312, 14254, 666, 711, 1152, 2087, 1453, 781, 5042, 2702, 267, 855, 849, 2569, 519, 1981, 540, 14968, 543, 8377, 282, 2090, 723, 1336, 602, 10683, 2472, 666, 3895, 5642, 1072, 538, 1153, 27070, 1453, 267, 1247, 13385, 1216, 6981, 666, 1860, 1453, 781, 17133, 4475, 267, 519, 1007, 4528, 540, 519, 834, 10817, 728, 257, 2306, 2312, 7840, 585, 1153, 21943, 1453, 547, 8532, 2614, 10683, 2472, 543, 4235, 2614, 1216, 1169, 1554, 563, 1103, 1840, 267, 9205, 2238, 616, 6225, 547, 519, 2168, 543, 2790, 1072, 540, 1153, 21943, 1453, 267, 543, 666, 849, 1404, 606, 1271, 1909, 538, 519, 6604, 540, 1250, 18701, 267, 865, 519, 1007, 4528, 540, 519, 834, 10817, 728, 257, 849, 12662, 4464, 10372, 585, 1453, 547, 2347, 513, 1978, 2179, 540, 9793, 27233, 2168, 2534, 1169, 1554, 563, 20578, 1242, 8422, 7195, 2331, 2725, 531, 623, 698, 617, 553, 454, 6097, 547, 519, 1543, 540, 519, 1007, 4528, 540, 519, 834, 10817, 728, 2580, 5916, 609, 519, 4890, 3510, 540, 4457, 1453, 781, 2732, 267, 519, 4457, 12594, 5980, 814, 849, 834, 18571, 1819, 257, 513, 7059, 2732, 585, 1153, 21943, 1453, 538, 1614, 2085, 2516, 281, 476, 277, 268, 1015, 1296, 2025, 267, 476, 1556, 268, 1724, 1296, 2025, 267, 543, 476, 1691, 268, 1704, 1296, 2025, 269, 623, 698, 18649, 267, 1114, 2085, 2516, 723, 1114, 9422, 2115, 563, 1103, 2474, 540, 6070, 543, 3282, 6981, 281, 519, 476, 277, 268, 1015, 2085, 1895, 27499, 1447, 982, 476, 275, 10101, 540, 6070, 543, 476, 736, 268, 1839, 10101, 540, 3282, 829, 1554, 282, 519, 476, 1556, 268, 1724, 2085, 1895, 543, 519, 476, 1691, 268, 1704, 2085, 1895, 1312, 8532, 3232, 10815, 982, 476, 276, 10101, 540, 6070, 543, 476, 1839, 268, 1789, 10101, 540, 3282, 563, 1103, 2474, 540, 1216, 4616, 281, 519, 3232, 1216, 6981, 540, 519, 1614, 2085, 2516, 9775, 267, 6606, 476, 8517, 268, 1911, 271, 16720, 267, 476, 8099, 271, 268, 9873, 271, 16720, 267, 543, 476, 6344, 271, 268, 9610, 271, 16720, 829, 1554, 563, 1103, 2474, 540, 2428, 6981, 281, 519, 476, 277, 268, 1015, 4458, 6040, 2085, 1895, 27499, 476, 2004, 10101, 829, 1554, 267, 1247, 519, 476, 1556, 268, 1724, 4458, 6040, 543, 476, 1691, 268, 1704, 4458, 6040, 2085, 2516, 849, 2333, 519, 5227, 3232, 6981, 547, 476, 2004, 268, 3583, 6121, 563, 1103, 1840, 267, 519, 5227, 3232, 6981, 540, 24799, 543, 5613, 814, 1945, 538, 1455, 267, 602, 568, 267, 519, 5227, 6981, 540, 519, 1614, 2085, 2516, 7930, 4679, 2687, 547, 519, 2085, 689, 1762, 547, 2025, 282, 1247, 519, 5227, 6981, 540, 5144, 543, 10683, 2472, 267, 1614, 634, 2085, 1895, 2338, 616, 519, 1482, 267, 782, 693, 476, 4968, 575, 27473, 563, 763, 6981, 4170, 585, 13386, 28369, 267, 13184, 543, 16738, 5779, 267, 12748, 2472, 267, 5798, 267, 5388, 267, 543, 12277, 723, 849, 1044, 14661, 2687, 547, 519, 4890, 9422, 2115, 540, 1114, 2085, 2516, 563, 17806, 270, 11847, 7163, 2274, 328, 22859, 582, 784, 21292, 281, 0, 6930, 496, 492, 8505, 5782, 545, 25245, 1374, 2511, 454, 6930, 496, 492, 290, 2761, 539, 609, 3007, 547, 1469, 454, 1432, 1281, 713, 14446, 2099, 15017, 763, 29581, 540, 589, 933, 729, 513, 14984, 3090, 540, 4027, 1851, 519, 31557, 563, 28062, 538, 519, 19360, 545, 1989, 24982, 2231, 267, 25655, 21847, 1131, 1928, 519, 3090, 593, 741, 30432, 1354, 2469, 883, 6370, 538, 1931, 547, 2149, 873, 1996, 741, 535, 3996, 267, 543, 2285, 873, 519, 10100, 547, 798, 1018, 568, 2556, 563, 22818, 519, 3090, 729, 2966, 547, 1045, 5803, 519, 1489, 540, 13095, 514, 267, 519, 5601, 540, 2112, 267, 3743, 585, 7863, 21847, 538, 6370, 563, 1607, 10058, 25655, 16654, 8258, 10905, 519, 29581, 540, 589, 933, 609, 519, 1079, 986, 26223, 540, 13095, 514, 267, 18018, 4883, 630, 2288, 339, 264, 543, 16189, 4883, 630, 332, 25514, 1916, 4322, 10305, 6719, 13095, 514, 538, 1010, 1909, 607, 5601, 540, 7326, 563, 307, 3539, 891, 6698, 1927, 267, 519, 8258, 568, 513, 4630, 720, 547, 519, 4622, 540, 519, 25655, 10971, 267, 543, 849, 2798, 547, 519, 1379, 540, 2219, 543, 4058, 950, 621, 2501, 547, 8165, 938, 12959, 563, 21760, 2433, 18234, 13379, 2433, 476, 278, 326, 12025, 2433, 674, 30613, 654, 5954, 4114, 269, 476, 276, 270, 279, 257, 630, 1428, 7825, 994, 29605, 2433, 18234, 28238, 1782, 476, 280, 1839, 0, 9213, 596, 786, 581, 1565, 827, 519, 6520, 540, 16709, 543, 1883, 5515, 945, 8268, 519, 1715, 2622, 269, 1411, 786, 1451, 827, 1271, 14546, 602, 941, 6117, 4123, 1282, 713, 942, 1974, 269, 476, 272, 269, 8437, 519, 7735, 476, 273, 269, 2422, 519, 610, 1907, 547, 2626, 2055, 593, 519, 15942, 476, 274, 269, 8437, 593, 519, 547, 1569, 1344, 827, 1142, 24413, 476, 275, 269, 12231, 519, 950, 8737, 610, 952, 596, 991, 547, 267, 946, 519, 7735, 547, 4688, 543, 2097, 1394, 2663, 454, 1607, 568, 513, 1382, 13472, 602, 814, 6402, 827, 519, 1114, 17701, 543, 14546, 602, 941, 7986, 1282, 519, 2085, 540, 3408, 269, 634, 1101, 13472, 814, 513, 3095, 547, 513, 5616, 3047, 2534, 602, 2636, 585, 1382, 811, 593, 519, 11507, 602, 519, 17701, 3576, 1282, 713, 942, 269, 0, 17843, 22553, 2986, 9210, 20293, 1763, 514, 454, 268, 8191, 10021, 334, 1763, 514, 454, 268, 15618, 5130, 476, 273, 267, 476, 1708, 273, 454, 268, 6478, 1293, 476, 276, 4375, 454, 5475, 519, 8798, 540, 5010, 3134, 20293, 18300, 538, 476, 3707, 272, 267, 621, 3893, 865, 2442, 602, 2221, 538, 476, 1708, 272, 267, 476, 3445, 260, 540, 13167, 6080, 616, 8200, 593, 3134, 20293, 18300, 269, 8729, 547, 519, 2470, 540, 3134, 20293, 269, 4706, 3810, 11684, 267, 4365, 15033, 267, 2539, 1942, 267, 543, 2653, 547, 9044, 2470, 2306, 621, 519, 1655, 6219, 547, 581, 1031, 538, 519, 5010, 3134, 20293, 2872, 269, 1717, 267, 3134, 20293, 3884, 1405, 607, 2241, 513, 6219, 607, 596, 1589, 269, 898, 3322, 513, 1950, 3114, 5888, 543, 3169, 7998, 269, 1280, 707, 8897, 267, 649, 4312, 2854, 606, 10700, 3391, 593, 3388, 596, 991, 547, 917, 827, 3134, 20293, 543, 922, 1114, 3029, 912, 288, 5687, 657, 564, 568, 513, 10991, 3114, 12249, 602, 2242, 922, 5888, 610, 5036, 3294, 883, 513, 4396, 2990, 950, 519, 3002, 540, 513, 1808, 2837, 610, 5982, 568, 5293, 689, 621, 269, 1717, 267, 2899, 519, 5687, 657, 564, 568, 10736, 883, 513, 7123, 543, 14461, 1747, 267, 596, 666, 1405, 9258, 621, 1394, 883, 519, 5277, 2990, 1317, 621, 13847, 922, 22169, 543, 3029, 513, 1279, 5832, 5114, 602, 3884, 1405, 31181, 538, 1022, 1259, 563, 11101, 267, 7429, 5687, 6955, 10415, 267, 5687, 657, 1115, 2611, 4396, 1317, 741, 5860, 4679, 2614, 547, 30387, 873, 883, 4396, 2326, 269, 1809, 267, 519, 5687, 657, 564, 786, 15835, 693, 513, 1808, 2837, 269, 1280, 1383, 267, 4874, 6856, 759, 1231, 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 ]
[ 563, 265, 23718, 10507, 638, 633, 331, 6591, 3486, 21239, 609, 1200, 1655, 18522, 3209, 834, 12024, 4826, 585, 28688, 2437, 799, 10905, 15832, 267, 5986, 267, 543, 9059, 17779, 269, 5590, 1282, 519, 11204, 7169, 267, 713, 22539, 9661, 5205, 570, 7534, 632, 3288, 12275, 5633, 267, 945, 20475, 1200, 4664, 998, 1426, 7041, 1813, 547, 22686, 9993, 563, 265, 13353, 631, 770, 21884, 320, 267, 1776, 7415, 2278, 267, 4607, 2565, 1035, 8010, 585, 1200, 26813, 3209, 834, 299, 7174, 1157, 281, 589, 1290, 9037, 6168, 5606, 23474, 543, 4033, 16700, 611, 1203, 999, 1701, 2060, 9644, 543, 18854, 267, 1352, 7710, 4798, 971, 607, 7365, 267, 13277, 6670, 267, 3993, 3125, 267, 543, 2123, 2208, 4810, 676, 2178, 4775, 3197, 2713, 538, 2022, 3146, 23728, 776, 6792, 4975, 780, 4089, 476, 274, 281, 7335, 6828, 11314, 454, 3086, 602, 649, 917, 827, 891, 9735, 11204, 2021, 4589, 1577, 781, 1106, 1507, 2542, 2516, 1369, 938, 1362, 256, 3962, 1895, 666, 3442, 835, 1433, 689, 1022, 540, 891, 4589, 547, 1224, 1927, 936, 1079, 4374, 269, 4438, 713, 942, 267, 1865, 707, 24221, 267, 5172, 15102, 267, 2055, 267, 543, 1007, 1451, 902, 269, 30850, 267, 1142, 1895, 666, 5965, 513, 6881, 4687, 8711, 540, 741, 6074, 1433, 543, 1946, 1866, 1522, 2972, 2542, 621, 1932, 780, 6962, 912, 9961, 713, 1576, 1770, 267, 649, 4126, 596, 4362, 519, 1379, 540, 2021, 781, 9739, 538, 11204, 3332, 543, 875, 789, 3565, 547, 1620, 1585, 3344, 540, 11204, 2528, 267, 1686, 267, 543, 3232, 1272, 269, 1635, 3695, 1568, 676, 14472, 9222, 10011, 749, 534, 657, 267, 23718, 10507, 638, 633, 331, 267, 543, 13353, 631, 770, 21884, 320, 267, 649, 4121, 827, 1114, 6163, 267, 4798, 267, 543, 2553, 1031, 676, 891, 11121, 4589, 269, 5457, 2141, 547, 1832, 606, 1930, 2247, 950, 25884, 1007, 2984, 543, 5660, 519, 5898, 540, 4763, 1336, 1369, 3332, 5001, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 24281, 901, 17136, 454, 275, 590, 23852, 22494, 281, 6468, 538, 22878, 12736, 2996, 20155, 454, 277, 1530, 9567, 15339, 281, 9406, 9255, 267, 9406, 5384, 454, 2421, 717, 580, 328, 932, 2426, 454, 1240, 11657, 776, 7731, 22878, 281, 1148, 540, 519, 8723, 454, 2421, 7705, 28331, 2006, 654, 7709, 16588, 454, 2190, 661, 577, 3996, 1107, 9197, 4770, 31515, 454, 11328, 1613, 676, 962, 25431, 631, 12011, 820, 609, 8751, 32634, 962, 19861, 320, 454, 3953, 12315, 721, 17972, 267, 711, 26540, 454, 2421, 4477, 2940, 808, 601, 16780, 543, 9995, 571, 8000, 1047, 330, 454, 4391, 667, 8692, 676, 667, 8692, 267, 649, 616, 10480, 609, 6405, 454, 15697, 1401, 22128, 910, 17555, 590, 749, 523, 654, 7709, 16588, 454, 4510, 29570, 607, 513, 13898, 676, 962, 553, 595, 3863, 5112, 267, 8121, 4916, 654, 7709, 16588, 454, 7367, 24531, 513, 32425, 585, 15339, 454, 2421, 15443, 807, 8891, 3205, 267, 8121, 4916, 654, 7709, 16588, 454, 6812, 5384, 543, 18289, 281, 13830, 519, 1272, 29188, 540, 513, 17040, 13452, 454, 2750, 22128, 910, 20289, 928, 13095, 749, 267, 21598, 4916, 654, 7709, 16588, 454, 6795, 667, 18805, 540, 519, 14606, 454, 2421, 11835, 22828, 3213, 919, 454, 5780, 24522, 6658, 4144, 776, 543, 1520, 686, 2033, 781, 27387, 454, 2421, 9995, 571, 2142, 879, 577, 731, 454, 10619, 1763, 322, 5224, 707, 28740, 30310, 454, 24058, 7376, 25845, 8619, 8092, 334, 538, 6643, 609, 23031, 12832, 7637, 1325, 2548, 454, 5804, 519, 15503, 454, 23895, 14896, 908, 519, 8682, 773, 454, 8702, 547, 938, 4873, 267, 476, 1708, 273, 3390, 540, 25723, 25758, 18225, 563, 1607, 3390, 2934, 606, 2028, 320, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 18131, 781, 966, 7860, 538, 11204, 9085, 257, 607, 851, 540, 834, 11227, 1315, 2622, 9085, 1315, 6792, 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, 9741, 32693, 543, 1200, 3659, 14520, 2280, 6068, 3695, 2338, 543, 741, 11580, 269, 2290, 13566, 1554, 267, 789, 4956, 547, 1265, 519, 4559, 7857, 540, 519, 3017, 1063, 1079, 2338, 538, 3490, 476, 277, 780, 257, 4131, 781, 1491, 891, 2338, 267, 476, 31979, 3490, 476, 277, 543, 476, 21497, 3490, 476, 277, 2437, 1767, 14520, 2280, 31113, 269, 834, 23763, 547, 4137, 856, 519, 4559, 7857, 540, 741, 3017, 12482, 28012, 32693, 21330, 269, 1358, 6785, 602, 519, 4559, 7857, 729, 1336, 676, 18946, 519, 2063, 9704, 543, 8051, 585, 1022, 1412, 4011, 8089, 9538, 3371, 267, 519, 4559, 9704, 941, 476, 274, 543, 476, 276, 269, 1809, 950, 9741, 32693, 6836, 547, 10208, 476, 276, 689, 476, 274, 267, 1352, 3893, 910, 273, 1765, 334, 3591, 256, 2334, 7012, 1405, 1318, 780, 306, 1460, 2280, 6045, 267, 834, 1103, 938, 3490, 476, 277, 1158, 267, 649, 3006, 991, 547, 10210, 689, 519, 15231, 3670, 525, 6241, 950, 18946, 1701, 1656, 865, 789, 1705, 269, 1635, 4946, 476, 277, 547, 519, 910, 273, 267, 789, 3893, 513, 2953, 1267, 281, 476, 275, 256, 19196, 1243, 267, 789, 4797, 4730, 2394, 13718, 9199, 3022, 344, 13351, 256, 589, 2178, 2842, 3357, 543, 6926, 342, 782, 741, 10475, 27766, 2476, 269, 7754, 10107, 267, 9741, 32693, 524, 3072, 267, 834, 5978, 2338, 616, 8854, 10590, 22582, 267, 4466, 519, 4559, 7857, 4769, 1405, 3100, 1271, 15042, 780, 3719, 14520, 2280, 4313, 539, 1200, 3659, 267, 6031, 267, 834, 10673, 1405, 5855, 282, 1346, 2338, 786, 2141, 2097, 1394, 269, 3807, 899, 875, 1565, 2760, 7475, 267, 1256, 950, 1919, 1810, 1405, 979, 607, 9709, 269, 1284, 4121, 1945, 1007, 2221, 1107, 602, 3006, 538, 2979, 267, 649, 1590, 1413, 3564, 1018, 781, 2047, 538, 4395, 540, 721, 269, 5020, 4245, 666, 581, 1336, 1256, 538, 519, 10545, 4025, 267, 971, 607, 519, 4559, 7857, 10590, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 8340, 519, 4559, 7857, 540, 519, 1739, 1369, 519, 8612, 1297, 3490, 281, 1269, 31979, 318, 277, 910, 476, 21497, 318, 277, 14204, 296, 917, 602, 519, 4559, 7857, 540, 513, 12408, 538, 1022, 3490, 568, 5462, 676, 18946, 519, 4559, 9704, 540, 519, 5705, 571, 9150, 543, 1295, 340, 754, 267, 543, 1287, 14577, 585, 1022, 24228, 602, 949, 2049, 269, 769, 713, 2013, 267, 519, 4559, 9704, 616, 476, 274, 543, 476, 276, 538, 3490, 476, 277, 269, 16265, 24219, 873, 3947, 910, 273, 267, 799, 568, 711, 513, 4570, 7857, 538, 3490, 476, 277, 269, 1924, 594, 991, 547, 10210, 476, 272, 689, 519, 1985, 1747, 1871, 267, 799, 568, 519, 3670, 525, 269, 901, 1797, 594, 1039, 476, 277, 547, 519, 910, 273, 267, 799, 3947, 476, 275, 269, 901, 568, 519, 4559, 7857, 540, 519, 2626, 14325, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 7689, 476, 1691, 281, 634, 5020, 540, 12891, 24499, 910, 589, 4279, 14890, 5808, 12529, 1027, 13221, 692, 7072, 912, 5970, 596, 2479, 4862, 827, 513, 4622, 945, 12199, 971, 513, 5318, 10504, 855, 8359, 11587, 936, 5208, 286, 4653, 267, 649, 3513, 1451, 827, 3751, 12891, 24499, 267, 513, 19416, 14610, 945, 17947, 13221, 543, 4957, 519, 1158, 998, 1010, 17519, 5718, 269, 2913, 781, 4685, 883, 519, 4241, 1650, 540, 12891, 24499, 781, 1272, 543, 875, 646, 2968, 1634, 607, 834, 1492, 6574, 540, 15438, 3010, 4089, 476, 272, 281, 29460, 12891, 24499, 1107, 3245, 2782, 1874, 13584, 547, 645, 2940, 14179, 550, 3751, 454, 2026, 327, 24499, 267, 4171, 2012, 1797, 834, 335, 664, 1652, 2437, 729, 4535, 1472, 476, 19054, 14514, 607, 519, 5067, 540, 14890, 645, 785, 639, 4673, 267, 945, 12199, 519, 8575, 1722, 534, 7276, 538, 3504, 3127, 269, 1306, 513, 19036, 267, 12891, 24499, 8604, 30758, 585, 30493, 1813, 547, 1010, 4222, 543, 4987, 269, 1717, 267, 646, 7012, 1405, 7620, 5461, 538, 12044, 1175, 569, 282, 3079, 267, 646, 5059, 593, 9750, 1010, 10806, 998, 4108, 9518, 3949, 780, 7078, 281, 5994, 1373, 513, 3532, 19036, 11235, 547, 6961, 3054, 676, 8165, 12959, 543, 11543, 811, 8513, 269, 2334, 729, 12891, 24499, 1354, 646, 1185, 513, 1689, 540, 2295, 780, 4089, 476, 273, 281, 26306, 3414, 20222, 1107, 918, 2718, 320, 2782, 454, 4263, 2085, 476, 3374, 267, 12891, 24499, 3366, 1010, 7952, 1996, 519, 15231, 1533, 540, 918, 2718, 320, 630, 19640, 13095, 22781, 1040, 6736, 10888, 519, 2112, 267, 646, 7948, 1405, 11716, 519, 10373, 7092, 3361, 676, 519, 4655, 269, 1261, 5433, 2620, 28194, 543, 26845, 267, 16734, 972, 1590, 581, 1776, 1259, 547, 4341, 982, 4929, 1928, 543, 10969, 566, 780, 12244, 281, 6056, 827, 1945, 596, 723, 2944, 791, 6160, 1947, 602, 8507, 538, 2942, 4539, 269, 1215, 1705, 596, 1745, 26063, 267, 543, 1018, 2242, 1705, 596, 1118, 3001, 4464, 286, 9523, 609, 513, 7649, 610, 1895, 780, 4089, 476, 274, 281, 24531, 20144, 12609, 1107, 12891, 24499, 2725, 1115, 13221, 454, 306, 3019, 1310, 519, 918, 2718, 320, 2782, 267, 12891, 24499, 3357, 883, 3346, 609, 14418, 10752, 10704, 1472, 32593, 775, 267, 8296, 267, 543, 7326, 269, 1452, 3741, 7184, 6949, 730, 609, 1864, 267, 11121, 1864, 547, 9772, 13221, 607, 1010, 13057, 6138, 269, 1635, 1739, 519, 2619, 540, 546, 327, 12609, 630, 323, 14280, 1070, 12891, 24499, 4956, 547, 1827, 1210, 32660, 543, 6568, 2864, 982, 3196, 780, 7078, 281, 2037, 9679, 4742, 2828, 609, 2576, 945, 2982, 9758, 1416, 2509, 1866, 269, 4256, 2318, 3310, 7512, 596, 547, 1521, 3025, 24963, 1932, 20196, 781, 2147, 547, 875, 12891, 24499, 4362, 13221, 2439, 4089, 476, 275, 281, 1975, 15105, 13458, 1107, 3798, 1112, 338, 540, 12891, 24499, 454, 2026, 513, 13991, 1246, 518, 540, 13221, 267, 12891, 24499, 8179, 2081, 547, 2671, 922, 4295, 2418, 2429, 1010, 10504, 269, 1677, 798, 865, 267, 646, 20827, 1896, 1196, 1112, 338, 630, 1231, 18587, 264, 20077, 5196, 7725, 543, 22225, 2066, 1010, 11182, 269, 1452, 6835, 15469, 5837, 2932, 267, 3909, 10103, 267, 1514, 10304, 267, 543, 2463, 585, 782, 2713, 7919, 780, 19061, 22830, 281, 8073, 707, 1378, 2413, 4528, 540, 12891, 758, 534, 1196, 1112, 338, 676, 8888, 19297, 5009, 4708, 267, 10892, 267, 543, 11587, 693, 1753, 267, 1153, 267, 543, 1369, 2950, 780, 4089, 476, 276, 281, 22684, 540, 12891, 24499, 1107, 8177, 15332, 3571, 1234, 793, 454, 7212, 12891, 24499, 556, 11220, 585, 1152, 476, 4391, 1296, 2394, 1010, 2669, 538, 476, 22446, 14514, 267, 1010, 1764, 3788, 7096, 2221, 269, 3509, 12206, 2543, 1864, 607, 835, 540, 519, 1158, 781, 1101, 1480, 527, 12579, 543, 5605, 817, 611, 832, 540, 4708, 269, 5015, 267, 1010, 19121, 720, 5280, 3262, 13221, 3564, 3127, 547, 5607, 543, 3564, 780, 23087, 1299, 13658, 912, 1103, 5758, 267, 1577, 781, 11291, 930, 1883, 5013, 827, 12891, 24499, 781, 1272, 1384, 265, 18004, 538, 476, 19054, 14514, 607, 513, 19036, 538, 519, 8575, 1722, 534, 7276, 454, 265, 27439, 22266, 21037, 540, 918, 2718, 320, 267, 3056, 547, 7004, 454, 265, 22685, 1540, 13221 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 990, 6308, 476, 14689, 5400, 275, 6434, 277, 272, 1315, 476, 7818, 268, 14689, 5400, 275, 6434, 277, 280, 1315, 12395, 5443, 6017, 630, 763, 12618, 543, 21478, 540, 5771, 538, 519, 8315, 540, 5607, 543, 6239, 5607, 264, 1315, 5261, 4460, 13206, 2465, 321, 476, 14689, 5400, 275, 31229, 279, 1315, 476, 7818, 268, 14689, 5400, 275, 31229, 274, 1315, 595, 9242, 14152, 11242, 4256, 18880, 1656, 11588, 630, 290, 9242, 14152, 11242, 4256, 18880, 543, 11588, 264, 1315, 16910, 529, 966, 718, 5050, 267, 6833, 787, 11910, 25301, 267, 5975, 1399, 12157, 974, 267, 13343, 23720, 267, 7225, 344, 717, 691, 344, 476, 14689, 5400, 275, 279, 3445, 311, 1315, 476, 7818, 268, 14689, 5400, 275, 279, 3445, 277, 1315, 19396, 19369, 11833, 338, 281, 25779, 18112, 5034, 630, 290, 9242, 14152, 11242, 4256, 18880, 543, 11588, 264, 1315, 6833, 787, 11910, 25301, 645, 876, 301, 309, 308, 274, 292, 275, 308, 1315, 4937, 834, 25911, 11276, 257, 8055, 543, 519, 28057, 540, 932, 3430, 8457, 7541, 281, 476, 5908, 274, 1315, 772, 2529, 269, 6554, 24614, 8433, 476, 15782, 23714, 28794, 278, 1315, 476, 7818, 268, 15782, 23714, 28794, 275, 1315, 590, 269, 670, 337, 326, 269, 476, 8099, 268, 26604, 281, 10434, 7304, 1442, 14086, 593, 8549, 14924, 1315, 715, 12458, 645, 19740, 303, 273, 309, 3633, 300, 1315, 2552, 13764, 519, 10046, 540, 19129, 29729, 26790, 693, 772, 2529, 269, 8092, 645, 7451, 1315, 772, 2529, 269, 6554, 24614, 8433, 645, 876, 306, 271, 12283, 17955, 1315, 634, 11038, 19822, 769, 11431, 7797, 281, 15937, 7797, 2986, 634, 2817, 8189, 2201, 634, 15486, 2986, 634, 11038, 1656, 9483, 19822, 769, 634, 2136, 2276, 1315, 772, 2529, 269, 6554, 24614, 8433, 476, 12553, 278, 4343, 30203, 275, 1315, 476, 7818, 268, 12553, 278, 4343, 30203, 278, 1315, 590, 269, 670, 337, 326, 269, 476, 9340, 268, 32076, 281, 24167, 772, 2529, 269, 22388, 614, 2928, 1143, 13405, 885, 543, 15613, 21661, 4000, 781, 15223, 3559, 16323, 1315, 715, 12458, 476, 12553, 3445, 279, 5002, 276, 1315, 476, 7818, 268, 12553, 3445, 279, 5002, 275, 1315, 15937, 7797, 281, 589, 5530, 540, 7991, 15369, 22963, 12551, 335, 1180, 26198, 543, 2422, 593, 20703, 24499, 262, 328, 1315, 715, 12458, 476, 12553, 280, 1428, 14065, 311, 1315, 476, 7818, 268, 12553, 280, 1428, 14065, 275, 1315, 13149, 1546, 11421, 21073, 7797, 543, 31639, 1315, 715, 12458, 476, 12553, 280, 1839, 31256, 311, 1315, 476, 7818, 268, 12553, 280, 1839, 31256, 278, 1315, 6651, 1504, 547, 4886, 21976, 593, 2871, 600, 1315, 715, 12458, 476, 12553, 7176, 277, 9965, 272, 1315, 476, 7818, 268, 12553, 7176, 277, 9965, 271, 1315, 590, 269, 670, 337, 326, 269, 476, 11793, 268, 9818, 281, 634, 12059, 7788, 15208, 540, 519, 17791, 1260, 20554, 281, 589, 26269, 543, 4165, 527, 6412, 5623, 1315, 715, 12458, 476, 12553, 7176, 277, 5780, 279, 277, 1315, 476, 7818, 268, 12553, 7176, 277, 5780, 279, 277, 1315, 5600, 24651, 267, 476, 8099, 628, 6837, 281, 589, 1715, 22073, 585, 519, 772, 2529, 3162, 9705, 21864, 19137, 1315, 715, 12458, 476, 6245, 9083, 4366, 274, 274, 1315, 476, 7818, 268, 6245, 9083, 4366, 274, 273, 1315, 8111, 2617, 320, 281, 3203, 540, 519, 476, 1960, 271, 338, 3245, 519, 8298, 534, 14635, 1315, 28635, 20076, 631, 3120, 330, 9564, 267, 15576, 344, 590, 20672, 601, 267, 3026, 531, 645, 20318, 571, 267, 670, 10224, 18681, 267, 3967, 710, 16653, 328, 267, 3627, 4354, 12541, 267, 7917, 717, 3426, 267, 21634, 1460, 30781, 1446, 345, 6874, 528, 637, 267, 12456, 1329, 670, 1009, 267, 23436, 962, 23677, 822, 720, 267, 22186, 541, 2088, 674, 761, 338, 577, 267, 17214, 548, 710, 717, 787, 333, 345, 4614, 329, 333, 476, 6021, 272, 277, 3607, 4649, 280, 311, 1315, 476, 7818, 268, 6021, 272, 277, 3607, 4649, 280, 273, 1315, 24436, 267, 4793, 757, 267, 3933, 12399, 267, 1656, 2859, 2201, 11814, 532, 1315, 27068, 5682, 267, 11090, 26509, 13440, 1758, 1242, 7376, 7790, 7790, 267, 1439, 26509, 13440, 1758, 1242, 7376, 7790, 7790, 267, 4024, 773, 2051, 525, 267, 11090, 26509, 13440, 1758, 1242, 7376, 7790, 7790, 267, 1439, 26509, 13440, 1758, 1242, 7376, 7790, 7790, 267, 21142, 681, 987, 267, 11090, 26509, 13440, 1758, 1242, 7376, 7790, 7790, 267, 1439, 26509, 13440, 1758, 1242, 7376, 7790, 7790, 267, 28270, 25347, 267, 11090, 26509, 13440, 1758, 1242, 7376, 7790, 7790, 267, 1439, 26509, 13440, 1758, 1242, 7376, 7790, 7790, 267, 3967, 710, 16653, 328, 267, 11090, 26509, 13440, 1758, 1242, 7376, 7790, 7790, 267, 1439, 26509, 13440, 1758, 1242, 7376, 7790, 7790, 267, 21634, 1460, 30781, 1446, 345, 6874, 528, 637, 267, 11090, 26509, 13440, 1758, 1242, 7376, 7790, 7790, 267, 1439, 26509, 13440, 1758, 1242, 7376, 7790, 7790, 267, 4168, 3057, 743, 599, 267, 11090, 26509, 13440, 1758, 1242, 7376, 7790, 7790, 267, 1439, 26509, 13440, 1758, 1242, 7376, 7790, 7790, 267, 26778, 10910, 1933, 525, 267, 11090, 26509, 13440, 1758, 1242, 7376, 7790, 7790, 267, 1439, 26509, 13440, 1758, 1242, 7376, 7790, 7790, 267, 25014, 3821, 14351, 14516, 267, 11090, 26509, 13440, 1758, 1242, 7376, 7790, 7790, 267, 1439, 26509, 13440, 1758, 1242, 7376, 7790, 7790, 267, 12049, 14355, 267, 11090, 26509, 13440, 1758, 1242, 7376, 7790, 7790, 267, 1439, 26509, 13440, 1758, 1242, 7376, 7790, 7790, 267, 23436, 962, 23677, 822, 720, 267, 654, 518, 1676, 16334, 523, 3122, 31000, 476, 271, 3953, 23714, 279, 4510, 277, 1315, 476, 7818, 268, 271, 3953, 23714, 279, 4510, 279, 1315, 11916, 11879, 5516, 6925, 267, 476, 272, 324, 1315, 9400, 918, 269, 15751, 267, 14880, 6215, 7491, 5652, 267, 3057, 1723, 966, 17010, 28234, 1512, 328, 267, 16653, 328, 8776, 637, 267, 808, 4157, 6390, 28635, 8403, 476, 271, 4097, 32146, 7597, 275, 276, 1315, 476, 7818, 268, 271, 4097, 32146, 7597, 275, 274, 1315, 28614, 32035, 630, 288, 32095, 1457, 28199, 22910, 264, 1315, 23193, 601, 13495, 749, 267, 4460, 8381, 3650, 267, 16114, 328, 6210, 661, 23143, 267, 16653, 328, 8776, 637, 476, 271, 5325, 31648, 4817, 278, 278, 1315, 476, 7818, 268, 271, 5325, 31648, 4817, 278, 275, 1315, 17240, 14004, 25124, 538, 519, 16332, 665, 20234, 668, 2213, 21111, 281, 11150, 585, 5004, 1315, 715, 12458, 454, 763, 3804, 540, 713, 3896, 568, 547, 948, 6300, 11825, 5635, 1433, 5777, 689, 1114, 454, 341, 754, 832, 1315, 23965, 543, 1265, 10464, 2835, 543, 10464, 2852, 9499, 269, 3509, 10958, 454, 9248, 543, 10958, 1257, 2835, 616, 2322, 593, 9042, 676, 31680, 1433, 21625, 543, 454, 4134, 12248, 29481, 4948, 269, 2353, 596, 991, 547, 798, 568, 547, 3406, 543, 1265, 873, 269, 901, 454, 338, 924, 849, 2488, 1082, 1433, 6402, 547, 930, 2101, 29481, 585, 1433, 3877, 543, 454, 1504, 19420, 976, 269, 1809, 581, 2386, 711, 3533, 7914, 883, 1022, 21869, 648, 3135, 547, 4444, 269, 11408, 454, 28781, 834, 24718, 12313, 257, 7735, 547, 5635, 5777, 1101, 269, 1411, 1131, 581, 6126, 454, 7474, 875, 1454, 596, 1131, 4688, 676, 3257, 1433, 3902, 6476, 563, 24246, 13242, 7734, 543, 13242, 7956, 9248, 454, 2005, 781, 4742, 811, 543, 811, 2442, 547, 4444, 1031, 2835, 543, 1031, 9499, 1851, 454, 3712, 5076, 1053, 585, 9494, 269, 7756, 2034, 1688, 2835, 689, 1114, 23965, 454, 16673, 723, 1114, 2175, 269, 5269, 2386, 547, 2638, 1031, 1433, 2783, 689, 519, 454, 31805, 781, 6609, 269, 4746, 1082, 1433, 2344, 17541, 2322, 2835, 585, 9042, 689, 1507, 454, 1504, 560, 2803, 543, 1367, 23965, 269, 5269, 2386, 547, 2638, 4558, 2689, 585, 22673, 781, 454, 516, 1584, 566, 952, 2009, 269, 1403, 596, 616, 538, 513, 31657, 547, 1205, 513, 1433, 610, 1837, 585, 707, 454, 5035, 267, 596, 1058, 3442, 9140, 1007, 2835, 585, 5401, 11288, 563, 24246, 7734, 689, 14579, 13474, 454, 5978, 3804, 568, 547, 3533, 1265, 519, 10464, 652, 2835, 543, 2852, 9499, 585, 596, 2676, 18485, 1007, 543, 1031, 267, 689, 513, 1804, 1297, 540, 29481, 5001, 269, 17497, 938, 454, 1504, 3406, 9817, 30321, 1433, 5777, 689, 2475, 267, 4516, 267, 5177, 267, 1715, 10215, 267, 5245, 2676, 301, 5930, 4133, 267, 5333, 267, 8581, 267, 5125, 267, 543, 3567, 269, 2859, 29481, 689, 824, 2477, 454, 15884, 581, 3773, 4166, 269, 6969, 9140, 689, 513, 4914, 1433, 4558, 610, 1433, 6300, 267, 581, 2386, 454, 1729, 2638, 519, 11288, 3681, 269, 898, 781, 711, 8966, 602, 11288, 1223, 1491, 1079, 547, 454, 22764, 4374, 543, 1942, 1223, 581, 2789, 540, 513, 6469, 11288, 5279, 563, 8923, 3643, 6435, 8525, 585, 5999, 454, 2958, 8973, 9768, 1315, 9768, 268, 1015, 1315, 9768, 1015, 267, 9768, 268, 1724, 1315, 9768, 1724, 267, 661, 3198, 1315, 661, 3198, 268, 1724, 267, 543, 8835, 0, 288, 2817, 31336, 4252, 5948, 7939, 1394, 4580, 3800, 476, 7761, 6279, 23276, 543, 476, 5655, 6279, 19794, 269, 24722, 715, 10621, 3652, 849, 23616, 3634, 602, 519, 1394, 4580, 1590, 581, 6366, 543, 12001, 563, 763, 1394, 4580, 1590, 581, 6825, 609, 513, 3043, 13551, 10704, 3297, 519, 11876, 641, 269, 634, 13551, 1590, 2268, 476, 273, 6279, 538, 8700, 267, 476, 2190, 6279, 23276, 543, 476, 1240, 6279, 19794, 269, 634, 1394, 4580, 1590, 581, 17479, 865, 602, 519, 11876, 641, 7923, 547, 519, 4604, 568, 4010, 476, 1015, 3952, 1657, 519, 2666, 269, 634, 14912, 26079, 3800, 476, 1240, 6279, 538, 8006, 269, 634, 1570, 1031, 547, 1711, 519, 1394, 4580, 814, 9867, 7494, 2094, 519, 7328, 781, 27299, 538, 519, 476, 6245, 271, 338, 267, 950, 11308, 1394, 15236, 941, 1031, 269, 4107, 2101, 14912, 682, 8046, 1631, 946, 623, 2716, 580, 20393, 1394, 15236, 269, 9596, 2859, 454, 763, 4009, 593, 513, 14912, 1394, 4580, 602, 2337, 5716, 3391, 4871, 539, 15833, 3800, 476, 1240, 6279, 19794, 543, 476, 2190, 6279, 23276, 269, 634, 3515, 540, 519, 4009, 1590, 581, 3043, 267, 476, 273, 6279, 538, 8700, 543, 10704, 1657, 519, 26079, 12171, 1638, 8382, 28825, 6097, 547, 519, 2817, 31336, 4252, 5948, 267, 14912, 10470, 1058, 581, 14328, 5546, 602, 616, 476, 11463, 3952, 1279, 543, 476, 2004, 3952, 2647, 267, 609, 6418, 7516, 1519, 513, 476, 2537, 3723, 267, 476, 280, 20878, 12931, 1844, 983, 1614, 15304, 9095, 693, 2901, 1439, 540, 519, 5480, 282, 2705, 267, 7516, 585, 824, 682, 8046, 543, 2085, 2516, 949, 8428, 269, 1280, 1383, 267, 1647, 543, 1164, 1153, 10470, 616, 3335, 4130, 982, 7939, 715, 10621, 2450, 267, 4352, 519, 715, 7563, 288, 267, 610, 2852, 21597, 267, 543, 654, 301, 10621, 267, 610, 2021, 781, 605, 21597, 267, 946, 519, 1482, 5480, 7516, 607, 519, 715, 10621, 269, 769, 782, 540, 519, 1657, 268, 20197, 10470, 267, 519, 1863, 12235, 1899, 568, 13883, 4010, 476, 1428, 3952, 2476, 689, 519, 1448, 593, 519, 6989, 602, 14687, 609, 519, 11876, 641, 781, 1394, 4580, 4087, 12171, 1638, 8382, 28825, 8150, 308, 14912, 568, 5129, 1369, 519, 5943, 540, 519, 2549, 19812, 26465, 545, 5742, 543, 2882, 8695, 262, 543, 6690, 262, 6887, 585, 6502, 476, 280, 547, 476, 1240, 607, 1134, 607, 513, 2367, 779, 6498, 267, 607, 540, 476, 1001, 275, 269, 21191, 308, 568, 513, 18758, 3919, 538, 519, 2136, 2276, 602, 8992, 7619, 923, 543, 8516, 3292, 12171, 1638, 8382, 28825, 5415, 2011, 3330, 513, 14912, 786, 1118, 621, 25483, 2362, 269, 634, 3606, 2011, 2182, 839, 519, 16463, 610, 12432, 7387, 540, 519, 3440, 267, 1818, 621, 811, 26255, 656, 12171, 1638, 8382, 3436, 0, 288, 7008, 540, 1296, 3516, 649, 5795, 596, 513, 1413, 693, 519, 1480, 1355, 8773, 4816, 1634, 607, 17630, 1606, 534, 267, 513, 23892, 3575, 540, 3684, 4398, 543, 10027, 889, 545, 2759, 8864, 269, 1809, 1394, 1287, 649, 1152, 1185, 6337, 269, 3767, 3381, 814, 7153, 540, 519, 8773, 267, 543, 519, 1198, 568, 19599, 10853, 563, 14946, 539, 676, 519, 2160, 540, 4993, 5842, 17630, 779, 10724, 32185, 6997, 267, 609, 7616, 689, 519, 2817, 3163, 7690, 267, 519, 8773, 22179, 476, 5780, 6550, 543, 6763, 10199, 476, 275, 3952, 476, 274, 6279, 7381, 269, 634, 2978, 2813, 519, 8773, 547, 5351, 538, 922, 1382, 543, 1646, 540, 7344, 1949, 602, 666, 2170, 609, 3425, 1210, 2067, 2792, 2409, 269, 1452, 616, 5693, 519, 1101, 3268, 4724, 1818, 4052, 1480, 1355, 11608, 513, 15774, 851, 540, 1480, 2486, 267, 513, 6422, 602, 4667, 2479, 6251, 609, 1142, 8429, 1032, 267, 5103 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2527, 602, 1554, 267, 855, 2527, 729, 711, 6035, 563, 2690, 811, 593, 713, 5939, 543, 513, 3476, 6609, 540, 621, 267, 1294, 630, 294, 6759, 1889, 345, 7304, 340, 714, 476, 1220, 278, 267, 6032, 269, 476, 10037, 1700, 10019, 1916, 763, 1433, 568, 11331, 968, 305, 17010, 3571, 3966, 334, 5336, 9926, 5451, 571, 2041, 281, 8644, 549, 546, 331, 4856, 334, 9731, 296, 993, 711, 2386, 4010, 1018, 669, 656, 729, 1031, 585, 519, 4165, 13023, 517, 600, 740, 623, 864, 332, 1317, 594, 798, 711, 723, 1569, 547, 519, 2146, 779, 9241, 3370, 5824, 13478, 20725, 4413, 531, 8291, 630, 1001, 276, 28931, 2108, 305, 17010, 3571, 3966, 334, 5336, 9926, 5451, 571, 2041, 281, 8644, 549, 546, 331, 4856, 334, 1848, 1809, 2390, 13059, 689, 1250, 7552, 267, 594, 6743, 998, 519, 10847, 27412, 585, 519, 476, 12010, 4458, 16683, 11812, 540, 11028, 26810, 540, 24729, 539, 334, 267, 799, 2882, 513, 1297, 540, 669, 1218, 267, 1294, 630, 290, 629, 516, 571, 543, 8125, 557, 4275, 476, 2735, 276, 1040, 6423, 519, 669, 656, 593, 533, 269, 476, 2412, 269, 594, 993, 711, 2386, 952, 713, 729, 519, 1482, 669, 656, 267, 855, 621, 1705, 3100, 2147, 563, 1607, 729, 849, 1250, 1995, 693, 519, 20787, 541, 629, 545, 30989, 543, 693, 16114, 553, 3807, 320, 586, 681, 18860, 2088, 563, 294, 6759, 1889, 345, 7304, 340, 714, 779, 2898, 1353, 568, 827, 713, 267, 855, 1294, 538, 1880, 630, 294, 6759, 1889, 345, 7304, 340, 714, 476, 1220, 278, 267, 6032, 269, 476, 274, 1700, 275, 267, 476, 278, 1700, 280, 1916, 8450, 4967, 476, 5325, 543, 476, 4366, 2630, 563, 2690, 519, 2956, 540, 519, 10198, 538, 519, 2022, 13305, 26896, 4083, 15024, 267, 1294, 630, 13202, 578, 328, 752, 476, 1001, 272, 1916, 294, 6759, 1889, 345, 7304, 340, 714, 8711, 713, 2429, 1010, 1353, 563, 9558, 3175, 689, 630, 294, 6759, 1889, 345, 7304, 340, 714, 476, 1220, 278, 267, 533, 269, 476, 3451, 1916, 17746, 527, 1075, 542, 525, 632, 3288, 19129, 755, 516, 586, 4165, 1172, 6403, 338, 9874, 19555, 663, 611, 632, 16410, 718, 14058, 586, 12456, 553, 20787, 5451, 4599, 525, 632, 715, 340, 652, 571, 1530, 10722, 7702, 632, 3288, 10507, 704, 24521, 632, 3288, 15875, 595, 328, 644, 611, 632, 24729, 539, 334, 630, 307, 565, 539, 334, 476, 1220, 280, 1070, 5291, 2517, 4178, 6230, 9926, 541, 629, 525, 30956, 565, 539, 334, 269, 525, 30763, 339, 318, 6247, 527, 1075, 542, 525, 21867, 630, 17739, 539, 593, 476, 2537, 5988, 476, 1708, 273, 1916, 4322, 1035, 743, 600, 725, 616, 2523, 14733, 538, 519, 661, 1276, 541, 2065, 11755, 267, 1141, 519, 21705, 2161, 968, 288, 5443, 892, 1310, 519, 1913, 936, 519, 3694, 267, 543, 1287, 1586, 1310, 519, 1913, 936, 519, 7484, 563, 11577, 21631, 538, 1396, 17790, 2090, 593, 4099, 543, 13020, 344, 723, 1044, 8032, 676, 519, 960, 540, 853, 1030, 8457, 9977, 328, 267, 7917, 570, 10762, 267, 543, 18637, 4471, 548, 654, 1074, 2401, 630, 21122, 328, 476, 1960, 272, 267, 476, 1960, 278, 267, 476, 1001, 271, 282, 476, 1001, 275, 267, 6032, 269, 476, 29579, 1700, 19054, 282, 476, 1708, 271, 282, 570, 10762, 476, 1220, 272, 267, 6032, 269, 476, 20969, 1700, 1626, 282, 654, 1074, 2401, 476, 2735, 273, 1040, 9977, 328, 814, 11130, 602, 519, 4099, 543, 13020, 344, 3112, 581, 865, 3362, 4857, 609, 2901, 5647, 610, 11091, 563, 2690, 513, 1360, 5363, 5758, 267, 1294, 630, 29727, 611, 5633, 476, 1001, 279, 267, 6032, 269, 476, 273, 1700, 274, 267, 476, 4037, 1916, 294, 6759, 1889, 345, 7304, 340, 714, 849, 2798, 547, 713, 538, 1010, 1353, 282, 1294, 630, 294, 6759, 1889, 345, 7304, 340, 714, 476, 1220, 278, 267, 533, 269, 476, 14338, 1916, 268, 4446, 333, 731, 267, 3057, 4897, 267, 2977, 534, 595, 650, 4536, 267, 543, 16629, 654, 788, 10273, 269, 476, 1001, 275, 269, 654, 11208, 538, 519, 8416, 9177, 281, 22175, 17790, 681, 3770, 5525, 269, 29425, 543, 10613, 267, 16610, 543, 5450, 777, 4243, 269, 2274, 340, 1597, 281, 3212, 4394, 269, 1496, 11386, 10104, 2639, 268, 5617, 7815, 267, 13690, 828, 569, 269, 476, 1001, 271, 269, 681, 3770, 14740, 543, 8836, 3690, 1431, 538, 519, 5204, 549, 5336, 531, 629, 541, 681, 924, 7826, 5783, 538, 9628, 269, 769, 681, 3770, 18868, 543, 519, 3163, 540, 681, 3770, 269, 3798, 1243, 676, 16547, 601, 5760, 320, 1564, 269, 654, 625, 21112, 523, 281, 14250, 817, 578, 6308, 7638, 25419, 267, 6032, 269, 476, 2767, 1700, 6078, 269, 1496, 11386, 10104, 2639, 268, 5617, 7815, 267, 13690, 828, 569, 269, 476, 1001, 276, 269, 3683, 6503, 532, 519, 3057, 774, 5448, 24130, 281, 681, 3770, 18868, 543, 5204, 549, 5336, 531, 629, 541, 14740, 269, 8278, 3380, 807, 2107, 753, 476, 3953, 281, 476, 15757, 1700, 9262, 269, 1496, 11386, 10104, 2639, 268, 13852, 267, 21965, 269, 476, 1960, 271, 269, 634, 681, 3770, 10610, 543, 519, 18868, 540, 681, 3770, 5295, 269, 4750, 540, 681, 3770, 5525, 476, 275, 281, 476, 26482, 1700, 27123, 269, 1496, 11386, 10104, 2639, 268, 13852, 267, 21965, 269, 476, 1220, 280, 269, 681, 3770, 281, 21126, 543, 17435, 5014, 269, 1715, 3840, 281, 10228, 2160, 4964, 269, 1496, 11386, 10104, 2639, 268, 18548, 577, 267, 22118, 8291, 269, 476, 1001, 271, 269, 3203, 267, 22175, 21395, 267, 543, 26499, 538, 11193, 24729, 539, 334, 281, 634, 21780, 334, 5633, 543, 519, 16384, 956, 807, 10021, 3385, 269, 2160, 5244, 281, 12425, 3557, 2160, 4964, 269, 1496, 11386, 10104, 2639, 268, 25376, 2917, 267, 30129, 269, 476, 2735, 272, 269, 3245, 15213, 547, 16754, 281, 634, 12472, 540, 519, 661, 1276, 541, 2065, 27302, 689, 17327, 8555, 341, 5314, 547, 18838, 31157, 269, 6115, 267, 9823, 281, 7826, 2160, 540, 3013, 4964, 269, 1496, 11386, 10104, 2639, 268, 15196, 660, 517, 267, 19626, 269, 476, 1001, 272, 269, 8125, 550, 8535, 281, 19744, 14576, 543, 519, 14716, 540, 3778, 538, 20640, 7570, 31588, 1722, 8050, 269, 7351, 338, 538, 5824, 1977, 543, 30345, 1014, 8535, 269, 1715, 3840, 281, 10228, 2160, 4964, 269, 1496, 11386, 10104, 2639, 268, 15196, 660, 517, 267, 19626, 269, 476, 1001, 276, 269, 26198, 610, 769, 3685, 286, 5246, 29989, 595, 529, 1676, 657, 543, 519, 20787, 541, 629, 545, 681, 924, 538, 24729, 539, 334, 269, 23171, 4750, 540, 8535, 1299, 15215, 476, 272, 281, 476, 276, 1700, 1789, 269, 1496, 11386, 10104, 2639, 268, 4858, 1091, 24849, 267, 6754, 269, 476, 1220, 273, 269, 634, 9612, 585, 519, 17959, 540, 4168, 654, 11208, 281, 17796, 543, 10613, 585, 519, 5530, 540, 7216, 22175, 21395, 269, 1715, 3840, 281, 10228, 2160, 4964, 269, 1496, 11386, 10104, 2639, 268, 4858, 1091, 24849, 267, 6754, 674, 1421, 543, 3627, 631, 749, 2129, 267, 32308, 269, 476, 1220, 278, 269, 25043, 538, 681, 3770, 5525, 281, 589, 24153, 585, 4841, 540, 4168, 654, 11208, 269, 9835, 14943, 1749, 281, 22823, 14288, 269, 1496, 11386, 10104, 2639, 268, 16410, 516, 571, 267, 21293, 267, 543, 5548, 326, 5964, 8125, 557, 4275, 267, 32308, 269, 476, 2735, 276, 269, 8734, 639, 2107, 4777, 681, 7978, 3571, 3966, 334, 5336, 9926, 541, 629, 545, 328, 281, 631, 13453, 9919, 30503, 2784, 320, 1924, 12661, 928, 618, 324, 679, 3288, 1849, 9476, 3120, 1642, 4083, 5556, 637, 334, 2902, 659, 1308, 632, 6480, 644, 3930, 20787, 5451, 4599, 525, 267, 598, 7763, 16343, 1642, 26577, 2578, 523, 9222, 632, 3288, 26532, 638, 16695, 632, 24729, 539, 334, 267, 1714, 476, 2918, 632, 25832, 632, 476, 2735, 276, 269, 24729, 539, 334, 281, 2382, 527, 19513, 632, 6480, 644, 3930, 6250, 580, 6759, 339, 4815, 20787, 5451, 4599, 525, 269, 1496, 11386, 10104, 2639, 268, 28533, 611, 7236, 267, 3627, 595, 269, 476, 1960, 274, 269, 634, 7831, 2441, 1108, 540, 519, 4639, 281, 22685, 5406, 1143, 538, 8050, 543, 717, 4954, 267, 476, 4281, 276, 1700, 279, 736, 269, 15740, 281, 2160, 540, 12425, 4964, 269, 1496, 11386, 10104, 2639, 268, 932, 848, 267, 26637, 269, 476, 1001, 279, 269, 589, 932, 337, 29487, 17563, 585, 4197, 519, 28249, 540, 19097, 1143, 543, 12080, 538, 519, 4936, 7826, 543, 8109, 932, 11699, 269, 4750, 540, 8278, 18210, 673, 5525, 476, 7871, 281, 476, 1321, 1700, 3393, 269, 1496, 11386, 10104, 316, 1496, 24340, 2639, 268, 932, 848, 267, 26637, 269, 476, 1708, 271, 320, 269, 3245, 589, 6929, 1143, 547, 18179, 344, 281, 634, 10020, 540, 519, 681, 2572, 540, 9024, 2747, 538, 1133, 1746, 519, 6250, 580, 15402, 8003, 269, 3571, 3966, 807, 15762, 571, 476, 7761, 281, 476, 275, 2767, 1700, 4343, 269, 1496, 11386, 10104, 316, 1496, 24340, 2639, 268, 932, 848, 267, 26637, 269, 476, 1708, 271, 321, 269, 634, 13067, 23158, 324, 1677, 2280, 534, 2801, 543, 519, 28613, 540, 30766, 543, 14914, 269, 2274, 340, 1597, 281, 3212, 4394, 269, 1496, 11386, 10104, 2639, 268, 932, 848, 267, 26637, 269, 476, 1708, 272, 269, 589, 674, 2001, 539, 24135, 12960, 281, 634, 8892, 540, 519, 5375, 6348, 7304, 2674, 681, 2572, 269, 5999, 22175, 4026, 2294, 270, 22137, 538, 22175, 21395, 476, 6200, 281, 476, 2767, 1700, 10619, 269, 1496, 11386, 10104, 2639, 268, 7502, 5964, 267, 19664, 22513, 5451, 526, 14162, 267, 1196, 269, 476, 1220, 280, 269, 24130, 540, 24729, 539, 334, 281, 3848, 5264, 543, 20787, 541, 629, 545, 30989, 269, 24729, 539, 334, 281, 16410, 843, 334, 595, 730, 1537, 10021, 3385, 269, 1496, 11386, 10104, 2639, 268, 19811, 267, 23011, 269, 476, 1960, 276, 269, 7216, 19744, 8050, 281, 30767, 538, 16844, 267, 476, 6110, 1700, 1911, 271, 267, 476, 273, 526, 1196, 269, 1715, 5525, 538, 19744, 3778, 269, 1715, 3840, 281, 853, 269, 9410, 779, 4964, 269, 1496, 11386, 10104, 2639, 268, 19811, 267, 23011, 269, 476, 1220, 271, 269, 634, 6259, 1230, 26810, 540, 8050, 281, 476, 278, 1015, 1700, 8064, 278, 269, 10228, 281, 4563, 6202, 269, 1496, 11386, 10104, 2639, 268, 19811, 267, 23011, 269, 476, 1220, 273, 269, 8033, 8462, 543, 13809, 538, 19744, 5053, 9177, 281, 634, 15845, 540, 9049, 590, 3342, 267, 5246, 16343, 3933, 5451, 560, 4815, 476, 275, 269, 769, 19744, 8050, 281, 9177, 267, 18366, 267, 543, 3213, 1410, 14571, 267, 5525, 538, 12968, 712, 540, 4911, 639, 27963, 599, 269, 3798, 1243, 676, 23011, 19811, 543, 20900, 6153, 2006, 269, 1715, 3840, 281, 6022, 6588, 557, 5839, 17524, 534, 267, 6032, 269, 476, 272, 1700, 2420, 269, 1496, 11386, 10104, 2639, 268, 19811, 267, 23011, 269, 476, 1220, 277, 269, 6250, 580, 15402, 8050, 267, 476, 30156, 1700, 278, 1556, 269, 589, 3778, 540, 8050, 269, 3798, 1243, 676, 3627, 22118, 577, 269, 5689, 6577, 281, 4563, 6202, 269, 1496, 11386, 10104, 2639, 268, 4762, 7967, 25556, 9210, 4593, 29914, 10507, 3966, 7637, 269, 476, 1960, 272, 320, 269, 7323, 1446, 3571, 3966, 334, 5336, 9926, 541, 629, 32337, 269, 24729, 539, 334, 281, 1488, 345, 984, 7371, 5964, 632, 24729, 539, 334, 267, 2019, 338, 269, 476, 272, 1700, 273, 269, 1496, 11386, 10104, 2639, 268, 4762, 7967, 25556, 9210, 4593, 29914, 10507, 3966, 7637, 269, 476, 1960, 272, 321, 269, 8644, 518, 2155, 16307, 269, 24729, 539, 334, 281, 4762, 7967, 25556, 9210, 4593, 29914, 10507, 3966, 383, 369, 5055, 1488, 345, 984, 7371, 5964, 267, 2019, 338, 269, 476, 272, 1700, 273, 269, 1496, 11386, 10104, 2639, 268, 667, 5451, 341, 10042, 586, 25661, 17144, 5336, 4275, 24229, 267, 21280, 2946, 21293, 269, 476, 1220, 274, 269, 2677, 541, 2651, 334, 632, 3288, 635, 684, 21059, 4779, 345, 5451, 571, 2041, 632, 24729, 539, 334, 267, 964, 1372, 3288, 598, 806, 18059, 632, 1325, 325, 517, 810, 17886, 267, 26558, 320, 8356, 652, 4592, 546, 6403, 553, 269, 769, 1230, 332, 13579, 24265, 1642, 26577, 2578, 523, 9222, 1642, 17540, 3266, 632, 17485, 20787, 5451, 4599, 525, 269, 24729, 539, 334, 281, 1290, 684, 21059, 20787, 5451, 571, 2041, 632, 24729, 539, 334, 267, 2382, 527, 19513, 632, 6480, 644, 3930, 6250, 580, 6759, 339, 4815, 5336, 9926, 5451, 4599, 525, 267, 667, 760, 583, 24265, 28393, 1017, 632, 24729, 539, 334, 267, 6032, 269, 476, 4817, 1700, 6344, 269, 1496, 11386, 10104, 2639, 268, 2677, 23702 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10483, 1010, 796, 3711, 27631, 3932, 609, 513, 11029, 543, 5730, 6609, 540, 645, 4669, 5128, 1107, 1010, 9342, 543, 12755, 607, 513, 1268, 543, 607, 513, 18673, 269, 6736, 519, 1843, 687, 540, 930, 540, 922, 2818, 267, 519, 7027, 540, 519, 3703, 16723, 5980, 849, 17019, 602, 645, 4669, 1500, 513, 12611, 540, 5013, 269, 769, 519, 6644, 540, 13915, 267, 519, 7027, 9053, 547, 16620, 835, 1268, 267, 3079, 540, 15597, 14344, 519, 8467, 540, 922, 9015, 267, 538, 799, 621, 729, 2653, 547, 1491, 693, 3068, 1871, 15069, 8969, 995, 15977, 1239, 543, 9273, 269, 769, 519, 3735, 476, 2735, 271, 779, 267, 519, 1318, 1145, 540, 645, 4669, 779, 13915, 729, 267, 538, 2490, 267, 20402, 269, 769, 519, 4064, 540, 519, 1857, 267, 713, 4951, 602, 519, 15784, 827, 2470, 543, 20741, 568, 2484, 689, 2347, 269, 11635, 1227, 267, 519, 2164, 540, 1279, 3856, 7422, 540, 9838, 21054, 5342, 538, 519, 2136, 2276, 3361, 1034, 16895, 538, 519, 476, 1960, 271, 338, 5431, 602, 19021, 640, 814, 513, 1713, 1764, 593, 1480, 2470, 543, 2702, 563, 2108, 26903, 5288, 715, 4669, 675, 892, 538, 519, 7330, 543, 519, 1158, 454, 1103, 519, 476, 4350, 271, 779, 543, 476, 3707, 271, 779, 267, 538, 5125, 543, 3567, 267, 519, 2856, 540, 1158, 28735, 729, 13736, 998, 22457, 3741, 269, 1280, 1977, 10236, 5505, 267, 713, 814, 1831, 606, 3606, 4661, 538, 10404, 1944, 1979, 11043, 6436, 540, 519, 3604, 1063, 1004, 269, 2991, 519, 5822, 2622, 2782, 267, 1360, 1082, 15653, 519, 1523, 540, 5198, 607, 2348, 1483, 1543, 267, 11021, 547, 19665, 1004, 2687, 547, 741, 2686, 543, 6803, 3604, 563, 4263, 519, 1482, 942, 267, 513, 1297, 540, 4719, 1235, 945, 6594, 267, 538, 1880, 267, 519, 3892, 540, 1973, 2516, 1851, 519, 2551, 267, 10645, 281, 519, 5198, 607, 513, 14553, 6211, 7121, 1705, 711, 6336, 922, 4644, 269, 30272, 267, 538, 519, 476, 3422, 271, 338, 267, 519, 2474, 968, 15869, 892, 543, 968, 842, 5878, 892, 31272, 18193, 538, 519, 2797, 20750, 6625, 269, 901, 729, 1813, 547, 519, 4473, 540, 519, 3540, 2924, 3350, 538, 519, 2136, 2276, 267, 519, 5137, 540, 3292, 540, 9104, 2218, 2069, 585, 3109, 4961, 267, 607, 1134, 607, 519, 19802, 6560, 540, 1585, 2477, 1996, 519, 2797, 543, 2804, 22030, 540, 519, 4639, 563, 763, 1966, 540, 2470, 543, 20741, 729, 3838, 711, 1152, 676, 16895, 267, 855, 849, 676, 2486, 607, 513, 2898, 269, 5637, 5011, 723, 5916, 3621, 7440, 609, 519, 4082, 540, 1857, 543, 2797, 1623, 12949, 625, 269, 1280, 1346, 945, 8655, 519, 1292, 1909, 540, 19021, 640, 267, 5198, 543, 6457, 941, 513, 6211, 4641, 267, 799, 666, 581, 4330, 1210, 2409, 540, 11976, 610, 3815, 2079, 269, 1358, 4718, 2933, 538, 519, 642, 1481, 731, 540, 2257, 267, 9963, 14761, 267, 798, 15701, 547, 5821, 538, 741, 8942, 547, 2327, 8471, 7862, 269, 8409, 945, 11911, 519, 1292, 1909, 547, 519, 1604, 543, 4718, 538, 519, 10781, 540, 519, 1367, 519, 1267, 540, 519, 1764, 540, 1514, 2175, 267, 15034, 17837, 540, 8720, 741, 1318, 2797, 5784, 609, 20116, 827, 519, 6662, 5013, 540, 2470, 563, 12024, 741, 31317, 267, 8895, 2023, 267, 519, 28288, 540, 519, 1523, 540, 19021, 640, 15091, 519, 967, 529, 1584, 1464, 540, 741, 3621, 1239, 267, 17804, 873, 609, 11821, 543, 15458, 18765, 267, 27581, 6093, 585, 519, 10034, 27714, 267, 609, 741, 7287, 547, 2285, 856, 1018, 789, 5551, 585, 519, 4641, 269, 634, 23801, 585, 519, 6364, 540, 519, 4901, 267, 4061, 267, 729, 519, 2243, 540, 519, 6708, 547, 799, 519, 7440, 540, 519, 22420, 15156, 941, 538, 1249, 3621, 267, 538, 799, 519, 28288, 540, 519, 1909, 540, 519, 1604, 6065, 1540, 563, 763, 538, 947, 656, 7521, 827, 2470, 5288, 20741, 6645, 540, 1079, 1271, 1919, 269, 3689, 267, 519, 6688, 540, 2470, 543, 20741, 941, 5393, 4922, 1031, 538, 4948, 1893, 267, 2436, 621, 729, 827, 1920, 267, 2828, 267, 610, 519, 12325, 540, 8613, 3377, 1107, 689, 4871, 619, 547, 15294, 18996, 269, 2060, 519, 948, 540, 891, 2035, 267, 519, 5626, 2486, 6836, 547, 3313, 519, 1747, 540, 519, 1367, 538, 513, 1062, 540, 3309, 1514, 1894, 269, 634, 2486, 19557, 547, 1018, 12665, 2161, 827, 713, 267, 2094, 6530, 2907, 5129, 513, 3844, 1909, 538, 1004, 779, 8942, 547, 10146, 543, 20928, 741, 2729, 269, 1809, 2094, 972, 729, 1100, 2797, 13618, 827, 875, 1272, 1058, 581, 6896, 267, 519, 7521, 827, 519, 2495, 540, 2470, 543, 20741, 1223, 3136, 22543, 17802, 563, 30772, 267, 1480, 1646, 666, 538, 6240, 581, 4330, 1510, 13288, 547, 971, 7493, 543, 2489, 2035, 607, 2470, 543, 20741, 269, 670, 1229, 3202, 12074, 267, 8726, 789, 616, 267, 2141, 2408, 538, 1978, 2825, 2175, 1107, 538, 519, 1514, 1158, 538, 799, 519, 1367, 779, 1272, 10596, 269, 1924, 267, 519, 1272, 540, 1453, 609, 13560, 6794, 1107, 513, 2068, 602, 267, 607, 621, 2968, 1634, 1472, 476, 3422, 271, 267, 1813, 547, 9606, 10095, 32623, 1674, 267, 1223, 581, 1360, 1114, 4470, 593, 2199, 2175, 543, 593, 519, 1453, 779, 948, 269, 8409, 540, 873, 267, 609, 7247, 7199, 2123, 7855, 960, 267, 3035, 11613, 1114, 2164, 982, 1453, 2713, 538, 29152, 1137, 269, 1703, 568, 2141, 513, 3903, 540, 1018, 666, 581, 2944, 267, 2436, 621, 568, 513, 2243, 540, 2069, 267, 1514, 6351, 610, 1514, 3609, 269, 1411, 666, 17854, 713, 3375, 267, 13288, 547, 1022, 5626, 21876, 267, 2067, 610, 1514, 267, 855, 713, 786, 711, 24044, 547, 581, 513, 3375, 547, 2661, 713, 1259, 267, 543, 711, 6382, 269, 1677, 2015, 6530, 607, 606, 14311, 2067, 2257, 267, 519, 1641, 540, 799, 6818, 10446, 540, 519, 1514, 1158, 543, 799, 786, 1831, 519, 10700, 3391, 547, 1272, 267, 1797, 10205, 532, 519, 3903, 269, 10251, 267, 1082, 1004, 2503, 713, 689, 6530, 1256, 1631, 269, 0, 303, 727, 28699, 919, 723, 1044, 512, 719, 539, 607, 930, 540, 519, 1072, 5006, 5613, 2139, 269, 7581, 641, 21358, 568, 1767, 547, 723, 26911, 1200, 17534, 2699, 609, 741, 10433, 269, 1358, 723, 1256, 1044, 15034, 540, 1373, 519, 24193, 4829, 602, 18832, 6035, 547, 14088, 269, 1656, 267, 2687, 547, 5259, 13299, 267, 3131, 572, 7483, 779, 31112, 547, 3548, 513, 533, 727, 28699, 622, 8507, 538, 5162, 5503, 269, 1809, 267, 1018, 568, 865, 2027, 827, 891, 7715, 2740, 9925, 1564, 540, 519, 4829, 1158, 602, 1118, 873, 865, 3352, 816, 626, 762, 286, 0, 4407, 621, 568, 3622, 1434, 5663, 2259, 267, 519, 772, 2529, 269, 5253, 543, 10684, 10029, 630, 293, 6395, 264, 1281, 711, 2943, 2154, 23815, 9755, 547, 2932, 6617, 4152, 593, 2472, 1354, 20749, 6725, 873, 269, 17859, 267, 6296, 6617, 4152, 666, 1683, 23815, 9755, 2565, 1239, 827, 741, 1587, 779, 3106, 543, 15808, 1272, 543, 5447, 707, 2472, 609, 519, 15111, 779, 23815, 6617, 4152, 4808, 563, 22746, 1344, 666, 6961, 3730, 547, 3549, 1312, 608, 27238, 543, 24323, 282, 608, 27238, 538, 2474, 540, 2870, 3811, 6730, 2026, 630, 629, 12934, 7007, 1007, 3075, 3156, 1070, 543, 24323, 538, 2474, 540, 1587, 1646, 267, 1570, 27147, 543, 2359, 267, 543, 29488, 2359, 269, 901, 1957, 2488, 606, 7650, 540, 519, 9238, 9755, 1058, 2015, 950, 3384, 513, 6617, 4152, 7014, 585, 23815, 2472, 563, 1805, 1464, 13281, 281, 589, 10021, 518, 454, 2026, 568, 1134, 8153, 267, 6617, 4152, 9247, 568, 606, 4603, 538, 799, 513, 16801, 540, 4542, 568, 2813, 543, 5116, 883, 1114, 2825, 2175, 585, 513, 1305, 1974, 540, 942, 269, 1452, 2175, 4268, 538, 2837, 543, 11195, 543, 616, 5921, 547, 18082, 1018, 4523, 547, 519, 1587, 1282, 922, 1272, 4783, 563, 1103, 519, 31534, 2361, 267, 1312, 519, 15111, 543, 519, 3864, 5709, 1149, 10837, 2154, 519, 6617, 4152, 540, 2472, 1354, 789, 666, 581, 4421, 547, 6800, 269, 634, 1292, 3483, 568, 547, 2268, 543, 3561, 519, 1494, 1890, 540, 6527, 909, 2394, 513, 10567, 1163, 19418, 4266, 20136, 1239, 814, 8810, 1271, 267, 2523, 6236, 519, 15111, 814, 11855, 267, 1369, 519, 2250, 1079, 1296, 267, 6617, 5829, 2152, 607, 1883, 2188, 538, 14453, 31061, 269, 1656, 267, 607, 14453, 543, 23815, 9755, 1134, 1174, 267, 971, 1587, 31061, 616, 711, 1152, 7199, 543, 4074, 14021, 267, 855, 789, 849, 666, 12517, 3441, 835, 779, 6216, 3239, 563, 13436, 547, 31534, 267, 30143, 6923, 31358, 936, 942, 267, 543, 6617, 4152, 3842, 519, 12879, 540, 4859, 2837, 543, 824, 2188, 666, 7866, 519, 6708, 547, 799, 789, 31358, 676, 7893, 2188, 971, 607, 912, 268, 634, 2067, 12159, 2557, 540, 1883, 5820, 3248, 268, 589, 1587, 779, 2702, 547, 5706, 15451, 31593, 3248, 268, 634, 1587, 779, 2746, 2032, 547, 11183, 2326, 3248, 268, 6764, 20914, 28978, 676, 519, 5663, 1184, 282, 543, 454, 268, 8605, 3210, 547, 3002, 267, 11195, 267, 543, 1769, 563, 3080, 6662, 540, 6617, 4152, 568, 547, 2327, 602, 513, 1587, 15387, 922, 5497, 2168, 267, 3114, 543, 18117, 1670, 7907, 32737, 1134, 607, 10342, 543, 15312, 1765, 15290, 6740, 896, 3617, 630, 3336, 2837, 264, 2175, 269, 6271, 568, 547, 29742, 1239, 676, 2062, 572, 4370, 519, 6617, 540, 519, 23815, 1587, 936, 942, 1369, 922, 3730, 1272, 12732, 267, 607, 1134, 607, 17356, 1063, 519, 19862, 543, 519, 8708, 1570, 563, 1805, 1464, 4530, 16257, 338, 454, 2026, 7150, 267, 972, 4867, 616, 1100, 4540, 17997, 762, 610, 7833, 10873, 13890, 676, 519, 15111, 8943, 540, 8549, 22769, 610, 3864, 8189, 19938, 3143, 269, 476, 14338, 274, 270, 1220, 280, 585, 519, 6617, 4152, 540, 30143, 269, 634, 9868, 568, 585, 930, 744, 12839, 2472, 267, 971, 607, 10877, 920, 839, 267, 25316, 619, 2869, 1218, 270, 1372, 31121, 1218, 267, 543, 546, 663, 745, 742, 31576, 30139, 269, 1306, 971, 267, 513, 1134, 27059, 4835, 6617, 7014, 1590, 1449, 1346, 1587, 10305, 602, 616, 11630, 547, 1689, 1282, 4859, 267, 543, 602, 666, 666, 3310, 519, 2298, 267, 3106, 267, 543, 2773, 540, 519, 1587, 269, 853, 1464, 2090, 1331, 519, 6268, 540, 1587, 2298, 693, 1808, 942, 11996, 540, 513, 4859, 1974, 896, 6417, 2175, 563, 2467, 616, 1614, 2596, 3029, 540, 6617, 4255, 912, 272, 269, 8447, 543, 3114, 8699, 281, 1452, 6218, 519, 2681, 267, 17627, 610, 32709, 267, 9063, 1871, 267, 25297, 267, 9403, 267, 7640, 543, 900, 13955, 6617, 267, 610, 4191, 540, 9668, 563, 273, 269, 5843, 6798, 1670, 6617, 281, 1452, 6218, 519, 4110, 540, 12526, 609, 4551, 267, 9044, 543, 5924, 13803, 563, 274, 269, 13268, 1645, 6617, 281, 1452, 6218, 519, 1198, 540, 11183, 593, 519, 8659, 1587, 563, 1805, 1464, 4152, 585, 30143, 568, 3335, 5340, 950, 912, 268, 589, 1007, 1587, 568, 2919, 3248, 268, 1323, 4540, 593, 27360, 564, 1587, 814, 1044, 6963, 4327, 3248, 268, 634, 2504, 1505, 814, 1044, 9168, 267, 610, 2504, 814, 6410, 547, 513, 1007, 9744, 610, 29449, 282, 543, 5924, 454, 17569, 1645, 814, 4957, 563, 268, 17497, 267, 2370, 3370, 1382, 6818, 547, 1489, 1808, 2409, 585, 17782, 23815, 15808, 1272, 563, 763, 4128, 585, 713, 7934, 538, 1344, 1331, 912, 268, 634, 2647, 3099, 543, 6988, 540, 23815, 12596, 543, 11183, 3248, 268, 634, 28106, 2470, 540, 1034, 23815, 2472, 543, 741, 2404, 6617, 1449, 2409, 282, 543, 454, 268, 634, 9165, 540, 1761, 2242, 547, 581, 8947, 267, 1519, 2168, 267, 3114, 267, 15451, 267, 6198, 610, 12716, 563, 2690, 1142, 19862, 1826, 267, 9755, 1058, 3313, 519, 7907, 547, 581, 8947, 267, 1287, 1449, 873, 693, 835, 610, 811, 2837, 543, 11195, 2175, 269, 4530, 6724, 1058, 581, 11117, 543, 513, 3375, 1500, 585, 1142, 21205, 1759, 593, 519, 2754, 779, 1378, 4835, 5773, 543, 1995, 269, 10159, 340, 725, 1058, 1450, 585, 519, 17429, 794, 540, 10567, 610, 1483, 6617, 540, 519, 1587, 563, 7712, 942, 568, 971, 513, 2629, 9936, 538, 519, 1646, 540, 513, 1007, 23815, 1587, 267, 1483, 6066, 6617, 4152, 568, 711, 2141, 15164, 269, 769, 971, 3871, 267, 18965, 6617, 4152, 4564, 513, 1434, 4244, 269, 769, 18965, 6617, 4152, 267, 5439, 616, 6740, 538, 1114, 11506, 2837, 543, 11195, 2175, 267, 607, 5462, 676, 1587, 1826, 543, 2344, 7569, 563, 11693, 519, 9000, 540, 4013, 5583, 689, 9431, 8128, 7282, 6617, 4152, 585, 23815, 2472, 267, 9755 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1603, 3391, 676, 1557, 2889, 563, 24058, 2079, 1557, 3340, 1454, 8343, 543, 2919, 10763, 1983, 269, 2060, 938, 2347, 3391, 267, 596, 786, 1451, 875, 547, 2328, 513, 10888, 563, 2414, 2328, 606, 10763, 1557, 267, 1101, 2328, 606, 4367, 602, 3947, 707, 5467, 4282, 1344, 543, 12857, 707, 5098, 269, 3973, 267, 2328, 1560, 9433, 538, 1489, 540, 707, 5098, 602, 1331, 513, 1888, 4845, 267, 606, 2079, 540, 930, 851, 540, 519, 1257, 267, 543, 2963, 689, 519, 1257, 602, 7028, 707, 2079, 563, 1103, 519, 3732, 267, 20801, 936, 519, 13972, 10833, 547, 1451, 827, 519, 2994, 543, 2553, 519, 2278, 1031, 538, 713, 17720, 2079, 1557, 563, 23921, 2576, 945, 666, 2328, 606, 2079, 1957, 585, 596, 910, 5830, 829, 5662, 4712, 547, 948, 596, 609, 5339, 267, 4670, 267, 2220, 582, 267, 17720, 543, 2565, 2079, 1557, 563, 1103, 713, 3391, 267, 649, 786, 948, 596, 547, 1174, 1018, 568, 513, 2565, 2079, 1603, 543, 875, 547, 2328, 513, 1434, 2079, 1957, 602, 13352, 3377, 4930, 543, 563, 310, 1180, 1359, 875, 547, 2328, 606, 11141, 6965, 2079, 1557, 286, 5675, 606, 4081, 1957, 827, 6965, 666, 581, 835, 540, 519, 1034, 4101, 4247, 585, 1164, 1153, 269, 5811, 1557, 1603, 2982, 1053, 1620, 540, 513, 9089, 5048, 547, 3988, 269, 1403, 513, 2875, 666, 2328, 513, 10388, 5339, 2079, 1557, 267, 646, 6811, 547, 1174, 519, 3209, 543, 1018, 1500, 519, 2278, 2328, 621, 269, 31898, 5566, 2079, 1557, 1603, 7291, 1806, 267, 875, 547, 2328, 606, 2079, 1557, 1283, 476, 278, 3652, 585, 513, 1434, 2079, 267, 875, 547, 2328, 606, 2079, 1557, 552, 9880, 563, 4263, 519, 981, 596, 786, 581, 4280, 547, 2328, 476, 274, 2010, 540, 3594, 267, 799, 1331, 17720, 2079, 1557, 269, 634, 3483, 540, 513, 5339, 2079, 513, 5339, 2079, 568, 711, 8806, 513, 5758, 540, 513, 5339, 960, 269, 1548, 606, 2079, 1557, 1281, 23297, 16496, 4773, 540, 2963, 543, 2079, 538, 1931, 563, 2710, 596, 1616, 547, 1451, 875, 547, 2328, 606, 513, 5339, 2079, 1557, 286, 8437, 1934, 543, 1265, 3730, 4388, 267, 5796, 593, 5339, 2079, 7291, 267, 2497, 267, 3268, 540, 1603, 269, 6969, 596, 2253, 1603, 606, 10763, 1557, 267, 596, 1590, 917, 1018, 713, 1826, 540, 1557, 568, 543, 1018, 621, 2882, 563, 2467, 616, 1079, 6810, 540, 513, 1382, 1957, 4470, 593, 1018, 2511, 568, 269, 769, 1931, 547, 2328, 519, 2079, 3296, 621, 568, 1271, 547, 917, 1018, 519, 563, 763, 1655, 1259, 547, 1174, 875, 547, 10891, 543, 2328, 513, 4760, 2376, 568, 547, 1413, 693, 519, 4930, 538, 835, 610, 1079, 540, 519, 269, 19080, 513, 2178, 267, 1808, 12819, 3409, 5189, 2038, 538, 707, 1557, 269, 28604, 534, 4519, 3137, 540, 875, 519, 2959, 1489, 707, 4661, 269, 901, 1383, 568, 513, 8748, 5098, 3948, 585, 606, 2079, 1557, 538, 3332, 269, 6875, 942, 547, 24559, 3054, 609, 519, 1114, 5339, 2474, 547, 948, 32433, 269, 0, 2704, 321, 542, 779, 24434, 543, 7813, 619, 267, 476, 2735, 276, 454, 17809, 1938, 11673, 540, 782, 519, 8492, 538, 19186, 542, 689, 519, 476, 866, 628, 2540, 547, 519, 476, 2735, 271, 338, 269, 4437, 7240, 1344, 568, 5916, 609, 11356, 4930, 543, 824, 6281, 3332, 593, 19186, 687, 1686, 269, 22627, 1063, 2872, 543, 12948, 666, 581, 18505, 1042, 267, 607, 1134, 607, 519, 2530, 540, 2199, 1852, 540, 3854, 563, 10527, 19186, 542, 5398, 12140, 267, 3776, 6762, 11595, 2223, 7935, 577, 675, 267, 524, 269, 2735, 278, 454, 288, 2156, 577, 675, 593, 519, 1686, 540, 519, 19186, 542, 5398, 12140, 602, 15091, 1271, 18523, 3401, 543, 2621, 538, 519, 1686, 540, 519, 3506, 269, 10598, 21124, 519, 4655, 543, 5208, 602, 1185, 7018, 538, 519, 8664, 689, 519, 476, 3192, 271, 338, 547, 519, 942, 540, 13629, 563, 295, 558, 652, 1737, 14205, 902, 543, 10753, 534, 543, 519, 8490, 540, 19186, 542, 267, 476, 2735, 279, 454, 288, 11625, 3645, 3778, 540, 19186, 542, 267, 476, 1960, 272, 454, 288, 3778, 540, 519, 19186, 542, 5398, 12140, 267, 476, 1960, 272, 454, 10287, 338, 909, 593, 2156, 577, 675, 2854, 538, 476, 2735, 278, 543, 538, 513, 3946, 727, 3808, 4320, 2488, 513, 811, 2143, 2272, 540, 519, 1686, 540, 519, 1857, 3506, 269, 30216, 811, 5813, 593, 7293, 2804, 1689, 538, 519, 2749, 543, 875, 713, 8507, 538, 19727, 543, 5208, 538, 519, 3506, 563, 8333, 13579, 894, 1433, 3370, 593, 476, 1839, 628, 16683, 540, 519, 19186, 542, 595, 15960, 7690, 269, 5853, 539, 538, 476, 3422, 279, 676, 19186, 542, 4853, 626, 7338, 570, 269, 32008, 945, 3177, 1312, 2724, 547, 1376, 519, 5748, 543, 1010, 2123, 5075, 585, 519, 5748, 779, 960, 1107, 3226, 25708, 26016, 1436, 563, 3412, 1137, 540, 3013, 267, 19186, 542, 538, 519, 476, 736, 628, 11416, 267, 476, 1220, 273, 454, 303, 26226, 779, 1034, 2487, 8313, 267, 2147, 547, 1010, 8313, 538, 476, 1960, 272, 609, 5961, 543, 3061, 687, 9301, 1271, 1004, 543, 2621, 998, 519, 476, 736, 628, 2540, 538, 19186, 542, 269, 3571, 4367, 9607, 519, 3310, 593, 19186, 542, 631, 4150, 762, 267, 543, 875, 12051, 14656, 814, 9927, 519, 2749, 563, 13126, 281, 21469, 918, 516, 1067, 267, 476, 1220, 274, 0, 22832, 29733, 1772, 752, 5459, 454, 4488, 4932, 292, 674, 7037, 13780, 26189, 528, 454, 763, 1158, 568, 29270, 606, 13778, 4161, 609, 519, 5571, 3262, 540, 519, 27649, 8376, 630, 26542, 268, 866, 1040, 11545, 7783, 543, 2669, 2338, 2333, 693, 513, 31029, 2557, 269, 4014, 3676, 3361, 676, 519, 12176, 540, 513, 3644, 616, 711, 1007, 267, 519, 1377, 540, 840, 21232, 566, 543, 3210, 547, 5046, 268, 866, 568, 7429, 1022, 649, 723, 2938, 1354, 269, 634, 2360, 547, 519, 4357, 543, 1857, 5823, 540, 938, 2486, 616, 8101, 269, 4107, 2197, 779, 1072, 1416, 1949, 1981, 1373, 16397, 1317, 540, 5046, 268, 866, 2550, 267, 6028, 1100, 4055, 585, 2104, 7783, 2550, 610, 1346, 17596, 1416, 585, 824, 1102, 3305, 885, 269, 634, 4346, 23119, 607, 9520, 616, 18901, 1055, 676, 10462, 543, 519, 5354, 540, 4357, 543, 1857, 4213, 723, 9505, 339, 1229, 269, 634, 5539, 547, 7413, 1699, 2360, 543, 849, 2104, 2360, 547, 938, 4346, 543, 2486, 568, 1336, 693, 1585, 2157, 281, 1367, 267, 1920, 267, 7023, 267, 1870, 267, 2199, 2229, 267, 543, 5313, 2229, 269, 1306, 538, 1034, 2477, 267, 519, 2136, 2276, 4108, 568, 1776, 1377, 540, 2486, 799, 4249, 513, 1909, 538, 14775, 547, 5046, 268, 866, 563, 763, 2136, 2276, 4108, 779, 1909, 538, 3210, 547, 5046, 268, 866, 568, 1732, 6956, 676, 513, 19384, 1310, 513, 5618, 1353, 540, 519, 3017, 1063, 519, 6469, 946, 540, 17740, 2456, 538, 8478, 543, 519, 2136, 2276, 269, 769, 8478, 267, 519, 3119, 5692, 540, 519, 4108, 568, 711, 547, 11886, 16939, 776, 13485, 267, 855, 547, 9718, 519, 8513, 689, 1369, 922, 1378, 10665, 269, 1879, 2556, 543, 1310, 5870, 513, 3126, 540, 2175, 267, 519, 19384, 4108, 849, 29377, 6469, 2871, 5875, 2465, 540, 4521, 543, 11352, 630, 21923, 302, 264, 13485, 269, 634, 2136, 2276, 5313, 4108, 568, 19275, 689, 10283, 538, 23834, 302, 15178, 13485, 971, 607, 519, 5313, 6304, 540, 3354, 5342, 676, 519, 19384, 4108, 538, 519, 1533, 540, 21586, 632, 13191, 10098, 538, 476, 1001, 279, 269, 1403, 513, 2147, 3510, 941, 547, 2049, 538, 519, 2136, 2276, 267, 538, 799, 513, 1533, 16761, 5313, 6351, 1813, 547, 513, 3354, 15059, 267, 519, 5313, 4108, 1131, 711, 581, 4847, 547, 4431, 269, 634, 30142, 572, 1290, 527, 9850, 2920, 540, 476, 6942, 279, 1281, 711, 1450, 519, 5313, 2229, 547, 8415, 519, 5313, 4108, 585, 1034, 6469, 5301, 1369, 519, 2136, 2276, 269, 634, 5313, 4108, 267, 1634, 607, 519, 3742, 4108, 267, 6212, 3079, 593, 16939, 776, 13485, 269, 1717, 267, 519, 2817, 15050, 6411, 607, 1533, 7400, 4108, 543, 666, 2932, 6469, 13485, 269, 4014, 519, 2817, 15050, 3335, 15824, 13485, 811, 538, 519, 1858, 540, 2067, 9568, 8323, 267, 789, 1223, 3565, 547, 3354, 13485, 971, 607, 519, 19384, 4108, 5063, 1705, 538, 21586, 632, 13191, 10098, 563, 763, 2817, 15050, 568, 476, 14596, 267, 1822, 2178, 543, 5713, 607, 513, 15395, 4108, 5057, 540, 519, 5313, 2229, 269, 1879, 711, 896, 5313, 16278, 267, 789, 616, 896, 519, 1852, 540, 1533, 1827, 832, 269, 16710, 540, 782, 2817, 15050, 4559, 6038, 2501, 689, 519, 17294, 540, 602, 1533, 267, 711, 689, 3742, 4108, 3401, 269, 1306, 540, 476, 6349, 4989, 476, 1708, 271, 267, 5176, 476, 1240, 267, 4335, 2817, 15050, 2818, 941, 18611, 2429, 519, 2475, 538, 519, 4339, 1996, 5046, 268, 866, 267, 538, 799, 789, 616, 5097, 3246, 2564, 543, 26848, 1489, 272, 269, 8549, 7616, 814, 1044, 9516, 585, 946, 676, 519, 2817, 15050, 538, 22221, 2829, 267, 1079, 11182, 267, 543, 519, 10588, 540, 21896, 267, 1247, 476, 2918, 1866, 616, 4867, 538, 519, 1184, 540, 8391, 13170, 269, 634, 2817, 15050, 11392, 2724, 689, 519, 5313, 2229, 267, 855, 5170, 896, 519, 1625, 1613, 540, 519, 1533, 17294, 563, 2467, 616, 19421, 540, 13485, 538, 799, 519, 4108, 616, 5885, 519, 4339, 1996, 5046, 268, 866, 538, 519, 2136, 2276, 269, 769, 1082, 2829, 267, 2871, 1841, 5443, 723, 6964, 812, 2740, 2361, 10506, 799, 5097, 798, 711, 1521, 11452, 2550, 267, 855, 824, 2550, 267, 3850, 811, 2230, 538, 19742, 10506, 269, 13108, 6413, 9635, 616, 12979, 1819, 538, 1715, 3840, 630, 4785, 10064, 1290, 3228, 264, 543, 11968, 13353, 630, 4785, 10064, 8585, 1097, 264, 609, 476, 272, 267, 1822, 15135, 1142, 269, 634, 2136, 2276, 8136, 17620, 540, 19296, 568, 2679, 2564, 6703, 543, 10647, 824, 3540, 4702, 3785, 269, 4033, 13485, 1331, 5885, 8473, 4238, 267, 24317, 543, 12419, 2564, 7727, 267, 4259, 909, 543, 4881, 1426, 8492, 267, 3246, 543, 12419, 1351, 7431, 3644, 3732, 10070, 267, 543, 5885, 10835, 32182, 693, 4152, 6703, 543, 6283, 23525, 273, 563, 4407, 16180, 922, 1909, 538, 519, 4339, 1996, 519, 3262, 540, 5046, 268, 866, 267, 519, 4108, 8942, 547, 7413, 5563, 538, 922, 1378, 16034, 269, 7358, 1049, 3742, 4559, 616, 12394, 547, 2226, 22026, 1247, 705, 4575, 676, 3800, 547, 3970, 519, 3262, 540, 519, 3644, 269, 634, 5094, 8371, 540, 519, 4108, 543, 1367, 1770, 4971, 619, 4163, 856, 5773, 971, 607, 28142, 1895, 902, 547, 1507, 2338, 267, 10238, 1746, 2168, 8516, 2866, 538, 2516, 267, 771, 9994, 532, 21272, 267, 543, 519, 946, 540, 7658, 11529, 630, 11529, 689, 1753, 998, 519, 946, 540, 4757, 267, 6049, 267, 2756, 27019, 12401, 3092, 4700, 8164, 2009, 269, 24285, 723, 9168, 610, 23545, 539, 1034, 6030, 543, 3506, 269, 1280, 1383, 267, 538, 519, 8136, 267, 519, 2136, 2276, 13639, 9142, 693, 4639, 8672, 543, 519, 16710, 543, 4937, 16065, 5441, 17735, 538, 16512, 5049, 543, 1053, 2932, 741, 5049, 2228, 269, 589, 4972, 540, 16470, 3609, 23545, 539, 7575, 543, 2951, 711, 2808, 1898, 2394, 693, 2547, 519, 1439, 540, 2904, 269, 634, 4108, 849, 23545, 539, 5751, 547, 1331, 4347, 2658, 2342, 476, 736, 267, 799, 1131, 723, 18611, 936, 476, 736, 267, 1822, 4108, 2818, 689, 519, 2136, 2276, 547, 2342, 267, 519, 1034, 538, 936, 476, 1839, 1296, 563, 2690, 519, 1072, 540, 938, 2518, 2104, 267, 519, 8471, 4126, 6763, 602, 519, 3644, 786, 2097, 896, 1852, 543, 938, 2729, 786, 3339, 1125, 4166, 269, 769, 519, 29291, 267, 519, 2136, 2276, 4108, 3788, 4712, 547, 1489, 922, 4961, 267, 2436, 621, 581, 998, 2564, 267, 4702, 267, 610, 2845, 6750, 1489, 563, 305, 1470, 632, 13191, 10098, 910, 681, 297, 267, 2904, 476, 736, 267, 476, 1708, 271, 563, 26721, 16775, 2177, 267, 6276, 29733, 269, 5046, 268, 866, 538, 519, 2136, 2276, 540, 3013, 281, 634, 13639, 779, 10020, 538, 519, 15863, 269, 17325, 520, 6759, 26369, 631, 4106, 541, 13005, 16217, 807, 21502, 601, 3873, 269, 21586, 632, 13191, 10098, 281, 661, 4753, 10933, 269, 476, 1708, 271, 269, 0, 763, 2012, 834, 330, 1170, 532, 17079, 257, 3085, 1405, 3833, 5968, 519, 8594, 540, 519, 3968, 602, 7786, 609, 602, 1395, 32304, 666, 3262, 26142, 337, 14826, 4322, 1973, 338, 31902, 12961, 267, 1572, 2468, 520, 558, 710, 12961, 267, 3262, 513, 26220, 4576, 1572, 932, 698 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 24937, 519, 1249, 602, 5176, 3368, 540, 713, 2197, 779, 2551, 568, 2192, 30185, 269, 3958, 267, 649, 723, 31007, 4724, 2296, 982, 1022, 824, 1893, 607, 649, 1745, 5339, 6492, 538, 621, 1631, 269, 4653, 779, 6107, 6487, 811, 827, 9956, 267, 3223, 1846, 543, 28726, 982, 13850, 531, 756, 267, 594, 336, 4472, 543, 13056, 714, 269, 1284, 723, 6591, 4986, 689, 7810, 4341, 4849, 513, 1950, 827, 1565, 2296, 269, 8409, 945, 3717, 31402, 2296, 2015, 2933, 9120, 547, 1866, 269, 898, 814, 1831, 513, 4567, 3090, 538, 9031, 328, 2486, 269, 4658, 616, 12955, 547, 1451, 2296, 538, 1931, 547, 4283, 519, 16918, 1362, 563, 763, 2923, 723, 849, 9411, 883, 513, 5198, 547, 30222, 267, 6028, 3297, 519, 15437, 540, 2197, 779, 1893, 543, 2528, 269, 2290, 7959, 11849, 3139, 1247, 14379, 538, 21460, 538, 1857, 610, 4357, 19771, 563, 2171, 723, 2919, 513, 3206, 602, 2296, 568, 547, 519, 10427, 543, 21460, 568, 547, 519, 17399, 656, 269, 10251, 267, 519, 5898, 540, 9031, 328, 5389, 568, 17772, 2354, 539, 676, 519, 3310, 540, 606, 9813, 1893, 269, 3245, 519, 1533, 5238, 547, 1857, 13646, 543, 689, 3872, 5823, 547, 9913, 2872, 267, 782, 616, 5009, 2296, 269, 634, 3395, 31007, 4724, 2296, 814, 1044, 547, 519, 1033, 337, 2939, 540, 5898, 543, 22464, 540, 21460, 269, 5678, 568, 519, 3961, 540, 1022, 4182, 855, 649, 616, 9561, 938, 3961, 693, 519, 3946, 540, 606, 9813, 1893, 563, 23458, 568, 519, 9997, 543, 1560, 540, 513, 4182, 269, 634, 15194, 11615, 540, 519, 1158, 723, 9738, 741, 9163, 676, 8497, 741, 4654, 269, 898, 568, 1164, 942, 602, 649, 607, 519, 9031, 328, 4182, 8329, 938, 3646, 547, 519, 25954, 540, 519, 6891, 540, 938, 3084, 543, 6237, 4654, 269, 634, 10966, 7040, 779, 15194, 593, 1818, 21460, 519, 4013, 1893, 540, 9031, 814, 3254, 513, 18422, 540, 4126, 547, 2847, 633, 519, 18710, 540, 938, 1893, 269, 1284, 1058, 711, 7340, 519, 3140, 19446, 268, 21589, 706, 15784, 602, 22541, 519, 5565, 9539, 566, 7869, 543, 9863, 513, 1883, 547, 519, 10661, 540, 9031, 269, 1403, 649, 6999, 547, 22919, 938, 4503, 8699, 267, 1287, 649, 1590, 1863, 6000, 689, 519, 3768, 826, 3310, 540, 4914, 1893, 269, 0, 20776, 3272, 16071, 676, 22105, 610, 21145, 10666, 3776, 8092, 11752, 528, 4427, 4784, 16071, 14635, 454, 7712, 476, 1220, 278, 267, 8092, 11752, 832, 1472, 519, 1158, 723, 3838, 741, 1655, 11752, 532, 16071, 689, 519, 2361, 269, 18738, 713, 4015, 596, 666, 3560, 3054, 547, 12303, 1022, 4087, 593, 3047, 543, 1294, 875, 8092, 11752, 832, 960, 267, 2010, 540, 3937, 1373, 1031, 543, 2825, 2591, 27498, 609, 1373, 513, 2244, 5619, 528, 538, 602, 4087, 563, 31690, 11181, 779, 8092, 267, 1634, 607, 519, 968, 31690, 11181, 7731, 12426, 2223, 729, 1101, 968, 21077, 892, 676, 606, 1367, 593, 4864, 476, 275, 267, 476, 8146, 278, 950, 3627, 667, 269, 3627, 8725, 267, 7338, 12493, 779, 3268, 517, 267, 12349, 621, 689, 519, 5313, 2229, 269, 1548, 1131, 1831, 519, 24540, 630, 5197, 280, 264, 543, 1287, 3557, 630, 8687, 279, 264, 540, 13325, 729, 1101, 8268, 676, 3943, 17701, 10496, 13196, 3057, 638, 8291, 543, 8402, 808, 565, 2884, 538, 476, 15757, 274, 269, 13325, 729, 851, 540, 519, 3943, 7276, 2394, 519, 3932, 540, 519, 18599, 13012, 2782, 630, 10193, 1634, 607, 519, 3943, 543, 4095, 2782, 264, 538, 476, 12293, 274, 950, 621, 2968, 851, 540, 519, 3703, 7276, 269, 634, 3703, 13166, 524, 17660, 519, 2244, 602, 2306, 909, 13325, 547, 519, 9241, 3964, 2136, 2276, 538, 5181, 267, 476, 9965, 274, 607, 851, 540, 519, 15521, 540, 8303, 602, 8694, 519, 1977, 7169, 269, 769, 519, 476, 9965, 271, 338, 267, 12590, 267, 21086, 267, 1715, 3840, 543, 9098, 524, 17660, 741, 2244, 6811, 538, 519, 29268, 630, 852, 16855, 267, 13325, 543, 13980, 540, 16506, 543, 12309, 264, 547, 519, 5313, 2229, 269, 634, 2229, 5916, 891, 883, 519, 19566, 24540, 267, 543, 538, 519, 18103, 514, 1734, 540, 476, 9965, 276, 543, 476, 9965, 278, 3964, 7833, 5773, 585, 5619, 532, 519, 2244, 267, 607, 1134, 607, 30431, 908, 8513, 6302, 543, 3268, 585, 8236, 1533, 3125, 269, 2755, 13896, 3459, 26311, 883, 13325, 538, 519, 2038, 476, 866, 628, 2540, 267, 811, 6552, 2127, 899, 2051, 525, 6019, 941, 711, 12306, 2394, 519, 476, 8146, 271, 338, 269, 7216, 13896, 804, 14414, 609, 7111, 1977, 4095, 11031, 945, 759, 3660, 538, 13325, 281, 623, 2714, 1177, 520, 558, 773, 267, 918, 1157, 777, 5622, 267, 12736, 928, 321, 698, 4141, 267, 24543, 267, 15762, 338, 543, 16737, 269, 1452, 804, 10449, 19411, 730, 538, 519, 476, 8146, 273, 4563, 8316, 330, 2782, 538, 799, 14062, 12493, 10692, 607, 513, 18279, 538, 519, 13325, 631, 4106, 807, 269, 21784, 338, 1996, 3043, 13896, 7361, 30403, 607, 513, 1267, 540, 519, 4563, 8316, 330, 2782, 267, 21757, 519, 2244, 585, 2417, 11175, 269, 7338, 12493, 11751, 519, 968, 31690, 11181, 7731, 12426, 892, 689, 3627, 667, 269, 3627, 8725, 593, 5412, 476, 4029, 267, 476, 7277, 271, 267, 14178, 519, 2450, 540, 1010, 968, 7883, 4923, 652, 16217, 21961, 892, 3484, 538, 2051, 525, 6019, 547, 476, 6344, 14143, 269, 634, 3484, 267, 538, 700, 1716, 320, 267, 13325, 267, 729, 827, 476, 4817, 5195, 7532, 540, 11354, 7615, 269, 26499, 814, 621, 602, 519, 2012, 968, 7883, 4923, 652, 892, 3357, 689, 606, 2038, 3936, 2401, 3957, 21280, 11672, 21244, 945, 3379, 519, 15417, 3037, 547, 519, 17381, 540, 513, 979, 846, 4212, 267, 19101, 267, 968, 1607, 568, 519, 1360, 979, 846, 5991, 652, 1848, 1879, 1818, 713, 2244, 11601, 267, 7338, 12493, 6905, 3564, 1010, 2883, 7687, 267, 543, 4166, 1303, 8972, 1010, 5067, 585, 2883, 6351, 269, 769, 5239, 267, 476, 7277, 272, 267, 14062, 12493, 12349, 519, 5063, 14092, 638, 1600, 476, 2412, 14143, 585, 1269, 1220, 267, 2185, 2053, 1018, 1010, 4651, 1185, 6976, 585, 621, 1152, 3275, 4505, 269, 3973, 267, 538, 606, 957, 540, 2083, 658, 14039, 1214, 267, 646, 5795, 1010, 3237, 2347, 6165, 540, 519, 2244, 585, 519, 1964, 540, 741, 2729, 269, 14062, 12493, 729, 711, 3843, 547, 1118, 513, 11369, 282, 3079, 267, 646, 729, 18374, 3246, 585, 1010, 1920, 676, 6061, 513, 2883, 6433, 543, 4758, 873, 12600, 946, 540, 519, 2244, 269, 14062, 2760, 4421, 519, 2244, 267, 543, 1317, 10456, 6424, 16026, 1705, 711, 1592, 621, 593, 12493, 779, 2022, 21065, 748, 2625, 622, 11891, 538, 476, 5908, 276, 267, 519, 2140, 7283, 18005, 538, 12493, 779, 2012, 2394, 476, 6642, 279, 950, 3627, 808, 269, 8065, 267, 519, 5067, 540, 12493, 779, 3268, 3563, 267, 4223, 843, 320, 3627, 8725, 8065, 267, 17956, 2140, 547, 621, 19101, 547, 723, 4371, 968, 716, 783, 267, 1930, 267, 4797, 267, 796, 5793, 32152, 267, 796, 23896, 539, 267, 3768, 626, 32328, 267, 543, 4708, 762, 15896, 892, 540, 621, 2094, 476, 6977, 272, 269, 634, 2244, 7283, 538, 519, 12493, 1920, 2394, 476, 4489, 275, 950, 519, 646, 15077, 540, 3627, 3627, 8725, 8065, 4421, 621, 1055, 547, 930, 2051, 525, 6019, 12543, 269, 769, 476, 4572, 280, 543, 476, 4350, 271, 267, 7338, 12493, 779, 476, 3199, 14143, 267, 543, 3670, 14143, 540, 519, 968, 31690, 11181, 7731, 12426, 892, 941, 4421, 547, 519, 1533, 540, 13325, 267, 5555, 4742, 519, 12493, 8298, 16410, 514, 3557, 19866, 13505, 538, 700, 1716, 320, 267, 13325, 269, 634, 6967, 13980, 540, 519, 968, 31690, 11181, 7731, 12426, 892, 723, 7283, 538, 4357, 3946, 2479, 2094, 269, 2991, 513, 1950, 3126, 540, 2244, 543, 1870, 9388, 538, 519, 476, 3192, 271, 338, 543, 476, 3199, 338, 267, 8355, 28199, 12349, 2185, 14143, 540, 519, 968, 31690, 11181, 7731, 12426, 892, 538, 476, 1220, 278, 543, 4646, 519, 14886, 540, 519, 14062, 12493, 8466, 12426, 538, 1931, 547, 8190, 519, 2244, 269, 0, 299, 6471, 1377, 568, 513, 1688, 18988, 3926, 602, 32307, 8955, 20832, 547, 1711, 3515, 593, 3615, 538, 519, 3845, 269, 898, 2337, 596, 5447, 1919, 899, 21684, 267, 7515, 543, 5961, 865, 789, 2461, 9985, 2786, 269, 1677, 946, 707, 8955, 1377, 267, 1747, 519, 3926, 593, 513, 6366, 2627, 602, 779, 1863, 540, 6188, 15297, 610, 3615, 267, 1287, 1448, 621, 693, 606, 1843, 827, 476, 1321, 3952, 2476, 269, 4495, 621, 32307, 513, 1899, 267, 1847, 621, 1472, 2394, 519, 20832, 616, 13988, 609, 707, 1843, 563, 8368, 540, 12937, 454, 300, 626, 1389, 1879, 4635, 513, 21558, 5426, 912, 2080, 568, 476, 274, 1455, 9073, 950, 1210, 513, 8955, 1377, 912, 272, 269, 5213, 1406, 946, 513, 8955, 1377, 547, 2268, 4376, 602, 7575, 912, 1607, 568, 513, 12161, 602, 1082, 1004, 1118, 950, 1210, 513, 8955, 1377, 269, 634, 8955, 1377, 1522, 12520, 3515, 593, 1945, 602, 7575, 538, 519, 4282, 267, 799, 1522, 711, 581, 5812, 609, 1843, 596, 2461, 2965, 3843, 547, 2268, 269, 1280, 1383, 267, 952, 596, 2461, 3843, 547, 5447, 513, 15808, 609, 513, 7944, 593, 519, 3774, 267, 519, 8955, 1377, 1522, 12520, 20832, 593, 4054, 610, 930, 824, 1843, 602, 1522, 1847, 610, 32022, 538, 519, 2842, 267, 799, 1131, 1118, 707, 15808, 2408, 5186, 12097, 563, 763, 1655, 1259, 547, 2057, 713, 12161, 568, 547, 1413, 998, 519, 8955, 1377, 1354, 596, 1205, 3323, 547, 1118, 2386, 519, 20832, 616, 13988, 593, 1945, 5812, 267, 899, 513, 1448, 693, 519, 4099, 540, 707, 1843, 269, 1403, 972, 616, 4054, 610, 930, 824, 3615, 538, 519, 3845, 267, 713, 1223, 1860, 519, 1259, 707, 8955, 1377, 568, 13988, 267, 865, 2119, 547, 1847, 1394, 513, 2370, 689, 707, 1843, 547, 9004, 930, 540, 519, 4282, 13779, 563, 273, 269, 5269, 2386, 519, 2627, 596, 2461, 7893, 568, 6366, 543, 1863, 540, 1022, 6188, 15297, 610, 3615, 912, 13014, 2386, 519, 8955, 1377, 568, 15738, 593, 513, 6366, 2627, 543, 519, 20832, 616, 711, 18644, 1022, 3615, 610, 6188, 15297, 269, 901, 786, 948, 596, 2057, 7729, 14954, 7403, 602, 666, 2014, 6959, 950, 7893, 707, 1843, 269, 1879, 7893, 606, 1843, 267, 1118, 2386, 547, 1448, 621, 693, 2789, 6753, 865, 602, 621, 666, 11571, 519, 3003, 2627, 1858, 540, 707, 1843, 563, 274, 269, 2422, 519, 2953, 17960, 267, 899, 513, 7552, 617, 267, 950, 1210, 707, 8955, 1377, 912, 2252, 596, 2461, 1210, 513, 8955, 1377, 547, 2268, 1945, 909, 1164, 267, 1118, 2386, 596, 4076, 3893, 519, 1318, 3937, 269, 589, 7552, 617, 610, 1776, 11689, 1944, 2627, 666, 948, 1832, 707, 7403, 689, 1373, 7729, 14954, 269, 1403, 596, 2461, 711, 1210, 835, 540, 891, 13561, 3457, 267, 621, 779, 1655, 952, 596, 1491, 707, 7403, 689, 519, 2666, 1141, 621, 779, 4443, 547, 3914, 543, 723, 1732, 6617, 563, 268, 14301, 513, 1899, 609, 621, 2337, 596, 5447, 1919, 899, 21684, 267, 7515, 543, 5961, 865, 789, 2461, 9985, 2786, 563, 268, 1677, 946, 707, 8955, 1377, 267, 1747, 519, 3926, 593, 513, 6366, 2627, 602, 779, 1863, 540, 6188, 15297, 610, 3615, 267, 1287, 1448, 621, 693, 606, 1843, 827, 476, 1321, 3952, 2476, 563, 268, 4495, 621, 32307, 513, 1899, 267, 1847, 621, 1472, 2394, 519, 20832, 616, 13988, 609, 707, 1843, 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 ]
[ 780, 1103, 713, 2013, 267, 7350, 630, 2102, 2045, 32739, 547, 2790, 4576, 1070, 6214, 630, 25217, 4507, 3823, 22637, 543, 22581, 1070, 543, 2486, 630, 560, 7950, 4478, 2790, 1072, 264, 9192, 547, 1102, 12787, 3606, 7092, 2390, 3627, 269, 4014, 5275, 948, 729, 2629, 585, 5883, 1010, 4965, 267, 12607, 3151, 1010, 5868, 3366, 547, 2942, 4539, 267, 10223, 519, 991, 585, 3102, 2069, 7341, 6322, 693, 3186, 25634, 1944, 2790, 1072, 2152, 543, 5807, 8537, 5054, 780, 6962, 454, 29603, 18698, 519, 19427, 540, 6211, 267, 2797, 267, 543, 1514, 2609, 8761, 875, 7184, 1303, 342, 1441, 891, 11890, 616, 538, 5935, 1367, 2833, 540, 2713, 543, 12955, 269, 4197, 891, 4296, 6087, 721, 547, 2697, 1761, 2798, 540, 6304, 267, 14223, 267, 543, 6963, 267, 5009, 3152, 9698, 267, 5126, 267, 543, 8296, 2429, 2486, 269, 3414, 2565, 2079, 543, 15826, 5188, 267, 649, 666, 2253, 13167, 3435, 3358, 547, 2232, 519, 2189, 2591, 15054, 676, 519, 6946, 1357, 540, 7506, 12044, 1480, 6228, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 29670, 543, 667, 3539, 538, 519, 12634, 2622, 257, 5497, 585, 1164, 1153, 1053, 563, 2171, 723, 2907, 4988, 3184, 4433, 264, 834, 272, 269, 4985, 2580, 834, 273, 269, 18143, 2175, 543, 2833, 540, 2713, 543, 12955, 2580, 834, 274, 269, 11572, 2175, 543, 2833, 540, 2713, 543, 12955, 2580, 834, 275, 269, 4317, 2175, 543, 2833, 540, 2713, 543, 12955, 257, 543, 616, 1631, 1603, 513, 3184, 593, 834, 276, 269, 634, 2909, 4575, 1927, 540, 6211, 267, 2797, 267, 543, 1514, 2175, 8487, 2171, 723, 2907, 4988, 519, 1739, 1016, 26972, 538, 519, 1699, 3184, 281, 834, 276, 269, 272, 269, 634, 2591, 540, 10747, 1416, 267, 2146, 267, 1072, 267, 2924, 267, 543, 5208, 538, 519, 4207, 1158, 8487, 2237, 519, 1007, 1016, 15492, 11331, 834, 276, 269, 273, 269, 634, 1764, 540, 519, 2909, 4575, 1927, 540, 891, 11890, 593, 1367, 2833, 540, 2713, 543, 12955, 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, 1053, 13326, 3872, 22759, 609, 10333, 269, 634, 3804, 568, 547, 1118, 519, 1888, 3839, 543, 1187, 267, 26354, 7279, 827, 875, 621, 10039, 547, 4948, 1272, 269, 0, 476, 279, 269, 273, 5071, 543, 9577, 281, 634, 12472, 540, 519, 8950, 31040, 692, 5970, 596, 2479, 11074, 547, 1589, 827, 782, 519, 1114, 2010, 540, 2780, 8983, 602, 2291, 286, 3245, 29040, 547, 12616, 267, 9804, 547, 8955, 267, 3950, 4252, 547, 23908, 21978, 1107, 972, 779, 1100, 17732, 540, 3099, 950, 621, 2501, 547, 713, 1898, 4062, 540, 2029, 269, 1809, 1141, 1705, 621, 782, 2253, 286, 1656, 1018, 11479, 519, 3586, 4720, 540, 922, 1374, 543, 1599, 286, 2913, 779, 4685, 883, 519, 4241, 1158, 540, 519, 2780, 10856, 543, 2263, 891, 2055, 1927, 2439, 763, 1101, 21767, 540, 519, 2780, 10856, 729, 11827, 676, 8935, 326, 1621, 601, 321, 691, 693, 18628, 3194, 4659, 630, 306, 6020, 264, 538, 476, 3422, 275, 269, 901, 804, 684, 5652, 3926, 15538, 540, 1079, 14743, 15841, 13902, 569, 593, 513, 11308, 3625, 267, 15980, 621, 519, 28215, 968, 1492, 10856, 892, 1813, 547, 922, 11696, 28917, 547, 519, 887, 4823, 269, 2755, 18642, 3379, 547, 2221, 779, 31933, 6272, 267, 713, 8798, 9788, 519, 24536, 585, 2413, 7384, 607, 649, 917, 621, 780, 17637, 543, 9577, 454, 2411, 14945, 4263, 922, 4295, 267, 513, 2780, 10856, 5713, 835, 3119, 3483, 281, 3850, 3755, 547, 2170, 16022, 569, 609, 741, 3059, 1604, 269, 1717, 267, 8236, 713, 2241, 3804, 814, 2838, 3875, 10124, 936, 519, 1296, 269, 3371, 616, 930, 2565, 3344, 540, 519, 2780, 10856, 779, 1646, 1384, 2162, 2878, 19152, 11115, 1143, 4373, 763, 3312, 7344, 10856, 1031, 12902, 14743, 547, 3713, 3350, 2066, 7252, 269, 769, 4334, 267, 2663, 3631, 23564, 547, 1904, 727, 22817, 8596, 602, 16941, 593, 10896, 8279, 543, 2584, 617, 1675, 525, 547, 3950, 5163, 269, 4653, 267, 1034, 8983, 8415, 2901, 9804, 610, 8955, 8596, 267, 799, 2709, 3152, 6111, 543, 30506, 780, 2162, 2878, 21010, 2032, 4373, 15900, 2780, 8983, 941, 512, 9220, 1042, 547, 5904, 3842, 15791, 269, 2060, 7760, 538, 12616, 2029, 267, 2705, 267, 10260, 1652, 3681, 2968, 5051, 2442, 269, 29402, 14479, 568, 1631, 3044, 538, 1082, 3457, 267, 3246, 15774, 30010, 1063, 8983, 543, 5904, 1510, 519, 991, 585, 3606, 546, 784, 956, 780, 2162, 2878, 13528, 16748, 4373, 20663, 8983, 723, 2097, 513, 1279, 1259, 2094, 741, 4216, 344, 20297, 269, 7073, 6272, 4225, 4313, 543, 23908, 517, 15299, 267, 4611, 538, 5605, 728, 868, 9317, 5546, 267, 733, 10696, 17680, 1186, 267, 543, 1256, 7299, 31223, 269, 1452, 11941, 2832, 547, 2569, 8833, 543, 9854, 1282, 6905, 6165, 780, 2162, 2878, 21206, 17972, 4373, 2026, 7384, 2115, 11457, 267, 865, 1932, 798, 519, 2934, 6035, 676, 2780, 8983, 269, 2368, 1455, 23937, 1331, 1982, 30154, 16181, 267, 2688, 14184, 12035, 267, 667, 18444, 630, 25854, 829, 10759, 264, 15175, 267, 543, 12616, 12123, 7207, 780, 288, 16684, 3778, 540, 16743, 454, 10900, 19567, 7712, 922, 27299, 267, 519, 2780, 10856, 814, 22734, 1713, 14759, 269, 3371, 616, 1175, 513, 1906, 8037, 19325, 2059, 519, 1259, 1384, 265, 567, 2878, 3192, 271, 338, 5093, 2473, 518, 2135, 24315, 290, 10953, 519, 1101, 21370, 3593, 8818, 630, 294, 21397, 1070, 1818, 519, 2780, 10856, 606, 7533, 851, 540, 2123, 7384, 269, 11197, 12857, 519, 23436, 2780, 609, 513, 3710, 2987, 10856, 267, 4553, 676, 519, 5839, 842, 9655, 538, 476, 2735, 275, 563, 265, 567, 2878, 2735, 271, 338, 5093, 8298, 924, 577, 13847, 922, 1101, 10685, 10856, 267, 4259, 1055, 513, 5951, 540, 6735, 1851, 9755, 5275, 547, 13217, 1374, 543, 10342, 269, 9786, 13788, 519, 2344, 609, 519, 5305, 540, 8837, 476, 272, 269, 271, 267, 2417, 4396, 4328, 519, 2956, 540, 519, 2780, 10856, 538, 3232, 4238, 563, 265, 567, 2878, 1960, 271, 338, 5093, 30677, 8983, 10836, 267, 9001, 10896, 8279, 543, 2584, 29090, 2281, 3079, 540, 5066, 619, 585, 9477, 5322, 269, 24778, 1652, 8983, 849, 2744, 8560, 267, 1863, 532, 3755, 689, 1373, 512, 9220, 1042, 547, 741, 964, 802, 563, 265, 567, 2878, 1220, 271, 338, 5093, 21558, 8983, 5734, 519, 6429, 267, 5356, 4824, 8856, 936, 2757, 9804, 8596, 269, 8210, 12455, 558, 1227, 2966, 8983, 1831, 811, 11342, 267, 5466, 4145, 3823, 16625, 2566, 7063, 2404, 609, 12675, 7193, 946, 563, 265, 567, 2878, 1001, 271, 338, 5093, 30123, 675, 6284, 4066, 1450, 8983, 547, 4612, 1950, 1688, 20517, 267, 7175, 1007, 2081, 540, 15025, 609, 3301, 3156, 269, 29942, 12123, 3587, 2139, 538, 2824, 3631, 267, 6908, 23164, 1379, 2359, 780, 21607, 1154, 898, 2353, 8625, 454, 2411, 19567, 1103, 9759, 267, 519, 2780, 10856, 28837, 875, 1106, 5205, 1599, 538, 15456, 2474, 269, 4706, 4720, 9356, 4657, 6639, 8916, 543, 13346, 3593, 7569, 267, 3056, 547, 6024, 5647, 2429, 922, 1686, 269, 1635, 1620, 519, 1374, 3741, 3297, 713, 9583, 27217, 1843, 267, 649, 666, 5660, 519, 6946, 16799, 1063, 1480, 27265, 543, 6198, 13766, 780, 3086, 602, 596, 1174, 519, 3638, 4282, 540, 519, 2780, 10856, 267, 2119, 6313, 824, 3615, 1472, 596, 998, 606, 15456, 7828, 269, 9105, 3054, 281, 1548, 22755, 922, 5137, 286, 1215, 814, 922, 1374, 7960, 936, 942, 286, 1656, 1034, 11932, 267, 875, 1281, 621, 1764, 938, 2729, 2221, 286, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 307, 523, 12085, 281, 1323, 26337, 540, 5071, 834, 5497, 585, 1164, 1153, 1053, 563, 2171, 723, 2907, 4988, 3184, 4433, 264, 834, 272, 269, 4985, 2580, 834, 273, 269, 2776, 18856, 1688, 4949, 324, 2580, 834, 274, 269, 12266, 18158, 2580, 834, 275, 269, 9147, 5259, 13526, 2541, 20220, 2580, 834, 276, 269, 19744, 14500, 2580, 834, 277, 269, 654, 8354, 6229, 751, 777, 582, 2580, 834, 278, 269, 32525, 781, 3167, 1769, 15941, 257, 543, 616, 1631, 1603, 513, 3184, 593, 834, 279, 269, 8950, 10856, 8487, 2171, 723, 2907, 4988, 519, 1739, 1016, 26972, 538, 519, 1699, 3184, 281, 834, 279, 269, 272, 269, 16329, 1670, 2796, 8487, 2237, 519, 1007, 1016, 15492, 11331, 834, 279, 269, 273, 269, 5071, 543, 1599, 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, 1053, 13326, 3872, 22759, 609, 10333, 269, 634, 3804, 568, 547, 1118, 519, 1888, 3839, 543, 1187, 267, 26354, 7279, 827, 875, 621, 10039, 547, 4948, 1272, 269, 0, 5794, 31068, 814, 6591, 10373, 8560, 538, 2487, 1296, 1813, 547, 922, 2702, 547, 3132, 5743, 6853, 543, 8949, 1426, 1210, 3648, 1447, 3282, 982, 2757, 2620, 1922, 11538, 2409, 269, 901, 5986, 4480, 3322, 21883, 3905, 2011, 1472, 519, 1426, 693, 1164, 11250, 267, 4611, 538, 1256, 5986, 543, 4389, 3170, 6981, 269, 2913, 781, 2263, 875, 2011, 26650, 619, 960, 267, 741, 2640, 267, 543, 875, 789, 666, 581, 1031, 547, 5965, 513, 8670, 971, 607, 519, 835, 4330, 538, 519, 1349, 910, 13798, 679, 5186, 383, 375, 974, 609, 14420, 1532, 13593, 13365, 780, 1262, 1692, 1281, 606, 2011, 26650, 518, 960, 15140, 2304, 2011, 26650, 518, 5161, 540, 513, 8022, 3693, 267, 10178, 267, 543, 513, 5110, 762, 11127, 1141, 596, 1747, 707, 1426, 269, 4438, 5106, 267, 519, 8022, 3693, 12958, 3905, 2011, 602, 568, 13604, 7856, 676, 519, 10178, 2429, 519, 5986, 12068, 269, 1306, 713, 12699, 2011, 8928, 2250, 519, 1426, 267, 621, 5932, 513, 28681, 1198, 2147, 547, 1018, 4386, 538, 513, 6671, 14089, 269, 1717, 267, 1317, 519, 3845, 1063, 519, 1426, 543, 519, 8022, 3693, 568, 1454, 10156, 538, 606, 2011, 26650, 518, 267, 4028, 543, 7833, 5986, 3217, 1747, 269, 5047, 267, 2094, 519, 3905, 2011, 7683, 27788, 519, 1426, 267, 972, 568, 1100, 991, 585, 7050, 5666, 540, 3282, 267, 1818, 2011, 31068, 513, 8902, 4244, 547, 2620, 1922, 11538, 780, 1262, 19119, 540, 2011, 31068, 4373, 2467, 616, 1896, 5383, 2404, 609, 2011, 31068, 3379, 547, 824, 5986, 2553, 1384, 272, 269, 2608, 10890, 1512, 6980, 15846, 1635, 8506, 8766, 3282, 267, 2011, 26650, 619, 948, 2569, 2949, 3170, 4616, 1510, 27531, 8137, 610, 9403, 269, 901, 2306, 621, 4443, 585, 2043, 547, 2226, 513, 7059, 2732, 1247, 1869, 11981, 741, 5172, 22304, 3536, 563, 273, 269, 2608, 293, 2120, 5986, 2053, 15846, 9603, 547, 519, 13671, 3002, 2707, 543, 3608, 10009, 1062, 267, 2011, 26650, 619, 3622, 3434, 1426, 811, 3533, 982, 6671, 9065, 839, 269, 901, 942, 9806, 666, 1291, 547, 2799, 4398, 538, 7594, 7041, 543, 4389, 1648, 6165, 563, 274, 269, 2608, 292, 848, 540, 946, 15846, 4107, 2413, 2011, 26650, 619, 2097, 609, 1095, 564, 3252, 3358, 547, 1808, 2010, 540, 1426, 267, 3850, 3755, 547, 3274, 2824, 519, 5551, 4259, 543, 7227, 585, 741, 7594, 547, 9096, 5986, 269, 5015, 267, 1034, 3631, 723, 8670, 13195, 615, 1606, 12522, 3334, 267, 28976, 30749, 1310, 946, 563, 275, 269, 2608, 309, 619, 12546, 15846, 15332, 31068, 267, 2011, 26650, 619, 666, 849, 581, 6964, 585, 887, 8463, 267, 1989, 3739, 267, 11256, 267, 543, 24667, 908, 1585, 8286, 269, 901, 11684, 2470, 6087, 1753, 29397, 547, 19597, 622, 2789, 14233, 883, 835, 11741, 3926, 780, 3086 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 689, 824, 3785, 610, 2025, 11647, 269, 901, 786, 948, 2569, 3653, 543, 2285, 721, 2189, 2326, 547, 960, 609, 780, 7692, 281, 15346, 256, 2913, 803, 10544, 1346, 543, 2743, 596, 1394, 1934, 780, 314, 5475, 11018, 2326, 543, 4259, 909, 519, 4234, 515, 9108, 6540, 8334, 281, 1325, 2431, 267, 7585, 256, 3767, 3314, 547, 3180, 5196, 519, 3574, 16119, 855, 9900, 269, 1403, 621, 7575, 1472, 1932, 1454, 267, 621, 949, 2736, 610, 25010, 519, 3337, 780, 7692, 281, 6145, 713, 2496, 8334, 281, 17828, 256, 3767, 1175, 1246, 2059, 609, 519, 18343, 5163, 543, 7444, 1286, 557, 2476, 519, 3063, 11353, 2394, 596, 3914, 707, 5551, 3337, 269, 3807, 1491, 707, 942, 543, 2972, 519, 1184, 780, 7692, 281, 26272, 267, 1413, 693, 713, 2370, 27646, 4947, 1927, 256, 8729, 585, 3450, 803, 827, 3574, 7432, 267, 7705, 780, 8334, 281, 1411, 2461, 10950, 267, 7585, 256, 5457, 267, 2259, 2306, 3501, 269, 5901, 8026, 267, 543, 4166, 2614, 267, 596, 3513, 581, 2111, 547, 1711, 782, 12204, 540, 5863, 11308, 9162, 585, 3054, 543, 1866, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 21659, 582, 830, 6341, 781, 5530, 18740, 454, 30395, 707, 1378, 20538, 5600, 609, 713, 17029, 1057, 25839, 18789, 5530, 18740, 7732, 14173, 689, 31584, 830, 269, 589, 10853, 2203, 6539, 267, 1164, 9096, 1374, 267, 602, 666, 581, 1628, 609, 2828, 610, 593, 707, 1378, 543, 666, 581, 513, 5100, 3860, 10516, 585, 707, 6068, 3283, 563, 21659, 582, 830, 568, 513, 667, 312, 296, 6216, 4535, 538, 476, 1220, 278, 267, 602, 6770, 519, 5326, 540, 3025, 9800, 676, 4758, 596, 519, 4316, 547, 1628, 621, 3054, 269, 589, 1007, 543, 2413, 1259, 540, 1818, 707, 1378, 9909, 2097, 9800, 998, 707, 3946, 563, 4629, 289, 11070, 3947, 707, 9909, 741, 12209, 547, 8038, 269, 9741, 13959, 1282, 519, 6689, 268, 7605, 644, 563, 4629, 299, 9281, 292, 3217, 596, 547, 1995, 519, 1158, 540, 5898, 609, 707, 1378, 3946, 269, 2659, 16036, 568, 519, 2601, 540, 30089, 268, 17029, 1057, 563, 4629, 298, 305, 9311, 625, 596, 547, 1995, 519, 2520, 2131, 23477, 540, 519, 11633, 6520, 269, 2983, 2131, 538, 519, 10724, 6520, 268, 681, 758, 337, 563, 22013, 6510, 22387, 1155, 543, 19889, 6363, 7037, 3776, 18789, 9910, 6564, 5264, 568, 476, 272, 281, 2190, 4336, 1134, 1500, 269, 2353, 17960, 616, 10288, 23182, 538, 5094, 11435, 269, 1703, 568, 849, 513, 1900, 8386, 9912, 8261, 538, 621, 269, 634, 6539, 568, 1500, 540, 10357, 1922, 4471, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 24841, 5695, 940, 257, 607, 851, 540, 834, 290, 32323, 4811, 1299, 670, 15477, 10292, 2464, 1315, 8381, 1677, 903, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 26596, 21280, 2946, 3557, 2160, 692, 1952, 2280, 2173, 20723, 2593, 454, 1320, 9707, 20242, 9469, 454, 22068, 6625, 9503, 454, 24433, 692, 5606, 514, 2572, 7769, 543, 519, 22362, 540, 519, 7464, 7089, 3590, 692, 1012, 20828, 543, 17461, 547, 519, 9046, 692, 763, 3483, 540, 713, 1570, 568, 547, 1459, 606, 15821, 2497, 602, 814, 519, 3601, 540, 31208, 2572, 7769, 543, 606, 15821, 2497, 602, 568, 568, 25806, 547, 519, 1483, 2338, 269, 634, 1483, 1297, 1062, 568, 606, 10288, 6310, 2361, 30818, 2991, 519, 6881, 519, 1267, 786, 581, 1644, 547, 519, 11029, 543, 7096, 1875, 20598, 2079, 540, 14062, 20484, 780, 2005, 568, 3254, 11992, 602, 972, 568, 513, 991, 585, 2338, 3564, 519, 556, 1023, 547, 4766, 9753, 269, 634, 5259, 22301, 5246, 574, 26433, 1279, 3516, 7152, 519, 1379, 540, 519, 1523, 540, 31208, 2572, 7769, 269, 1280, 1383, 267, 646, 6508, 519, 4542, 585, 519, 1858, 20583, 609, 538, 513, 5858, 267, 676, 6236, 602, 1858, 607, 7768, 540, 31208, 2572, 2711, 12730, 609, 606, 30085, 693, 519, 4099, 543, 513, 3490, 593, 519, 5858, 780, 763, 1858, 540, 971, 513, 6906, 568, 835, 3368, 540, 519, 4463, 540, 519, 6906, 267, 538, 713, 2013, 519, 8953, 678, 540, 519, 5858, 267, 2053, 519, 3259, 540, 519, 3490, 269, 634, 2698, 3259, 540, 519, 13279, 540, 782, 519, 12730, 568, 1175, 519, 18592, 540, 519, 5858, 267, 476, 273, 11027, 337, 269, 4935, 519, 1858, 20583, 676, 513, 5858, 540, 8953, 678, 568, 476, 16006, 16868, 7565, 273, 11027, 337, 1070, 799, 568, 3160, 547, 12631, 337, 11054, 269, 19452, 519, 4320, 540, 513, 3440, 20583, 1369, 513, 12106, 540, 8953, 678, 568, 2040, 540, 782, 519, 31208, 2572, 2711, 26829, 609, 741, 3284, 1182, 693, 519, 4099, 543, 741, 13279, 593, 519, 12106, 269, 634, 4320, 540, 513, 18158, 568, 835, 3791, 540, 519, 1587, 540, 922, 4463, 2053, 519, 1858, 540, 922, 3490, 269, 634, 4463, 540, 1142, 18158, 568, 519, 12106, 8953, 678, 269, 634, 2040, 540, 519, 1858, 540, 519, 13279, 568, 1175, 519, 1858, 540, 519, 12106, 476, 275, 11027, 337, 11054, 269, 4935, 519, 4320, 540, 519, 3440, 568, 630, 272, 270, 274, 264, 337, 263, 275, 11027, 337, 11054, 264, 799, 568, 3160, 547, 630, 275, 270, 274, 264, 11027, 337, 23326, 780, 4263, 713, 1448, 1577, 621, 581, 7074, 602, 606, 15821, 2497, 568, 2356, 540, 519, 1106, 2715, 306, 267, 535, 267, 575, 267, 554, 348, 1141, 590, 568, 513, 1305, 540, 2609, 543, 535, 267, 575, 543, 554, 616, 3252, 10747, 519, 4238, 971, 607, 1840, 267, 8691, 543, 1931, 6935, 269, 1703, 568, 513, 12402, 547, 1445, 3007, 593, 519, 2609, 540, 519, 1305, 267, 855, 891, 616, 13061, 282, 621, 568, 519, 3252, 602, 4163, 519, 1543, 780, 2691, 21469, 13053, 543, 717, 2714, 325, 3072, 30247, 2274, 30519, 714, 1101, 19775, 11186, 11810, 789, 3927, 1500, 946, 540, 519, 1523, 540, 606, 31208, 2572, 2711, 267, 799, 789, 5219, 547, 607, 606, 28222, 1507, 1297, 267, 8726, 602, 729, 9277, 547, 1611, 269, 1280, 1383, 267, 2274, 30519, 714, 267, 945, 5189, 519, 546, 10035, 585, 1114, 10118, 267, 1767, 538, 3541, 1516, 546, 3287, 344, 6661, 343, 11276, 20742, 11459, 602, 713, 5205, 689, 692, 2971, 546, 3287, 344, 264, 815, 630, 343, 266, 11459, 7565, 344, 266, 11276, 264, 6567, 27976, 815, 1535, 11276, 1341, 586, 11459, 1341, 15848, 11276, 692, 663, 692, 1492, 522, 3939, 540, 519, 7274, 15848, 11276, 267, 799, 568, 28222, 1507, 538, 6476, 609, 519, 1964, 267, 585, 621, 568, 9277, 602, 15848, 543, 10085, 616, 28222, 1507, 780, 1103, 1198, 646, 729, 6031, 602, 4352, 519, 31208, 2572, 7769, 616, 711, 4642, 519, 1587, 540, 31208, 2572, 7769, 568, 4642, 780, 13295, 519, 2165, 31208, 2572, 2711, 666, 581, 3989, 538, 1896, 2081, 269, 2290, 1935, 568, 547, 5581, 606, 31208, 2572, 2711, 607, 606, 11769, 971, 602, 922, 4009, 568, 4642, 269, 901, 1935, 568, 8268, 538, 634, 20145, 540, 5606, 514, 2572, 7769, 269, 634, 10206, 602, 568, 1031, 1934, 568, 602, 513, 2318, 31208, 2572, 2711, 568, 1945, 602, 568, 4130, 982, 1022, 2318, 1483, 1297, 780, 1012, 6348, 32558, 908, 14938, 1878, 692, 288, 1875, 268, 32558, 908, 5311, 540, 1022, 1305, 568, 1175, 513, 1599, 689, 519, 2067, 2338, 630, 27168, 9981, 264, 547, 602, 1305, 269, 6333, 519, 1305, 540, 782, 1875, 32558, 908, 9696, 540, 1483, 2338, 602, 723, 7182, 269, 589, 5311, 590, 28121, 338, 272, 267, 521, 273, 267, 2560, 348, 814, 513, 3970, 700, 952, 585, 1022, 2016, 24818, 285, 271, 972, 6818, 543, 606, 8870, 715, 971, 602, 585, 782, 9981, 562, 19749, 354, 301, 1923, 338, 333, 6629, 299, 347, 283, 29857, 780, 3849, 1288, 543, 8691, 585, 971, 9696, 616, 3362, 3989, 269, 1403, 681, 284, 13997, 337, 272, 267, 678, 273, 267, 2560, 348, 543, 590, 28121, 338, 272, 267, 521, 273, 267, 2560, 348, 1287, 692, 1892, 681, 266, 306, 815, 2715, 337, 272, 266, 338, 272, 267, 678, 273, 266, 338, 273, 267, 2560, 8679, 1892, 681, 265, 306, 815, 2715, 337, 272, 338, 272, 267, 678, 273, 338, 273, 267, 2560, 10926, 10112, 1539, 18356, 5205, 689, 519, 1997, 18356, 538, 519, 1483, 1297, 1062, 780, 4131, 519, 19280, 540, 519, 9696, 581, 602, 681, 283, 306, 952, 972, 6818, 606, 715, 971, 602, 585, 782, 562, 285, 301, 678, 333, 283, 338, 333, 269, 4595, 1152, 9696, 799, 723, 513, 3970, 616, 1373, 2808, 713, 20964, 606, 1931, 610, 519, 7862, 540, 1022, 1079, 971, 9696, 780, 1012, 1323, 1955, 5523, 4765, 25767, 540, 519, 7464, 7089, 3590, 692, 763, 1483, 1297, 1062, 666, 581, 708, 5523, 4765, 538, 519, 1305, 590, 676, 519, 11837, 692, 2971, 585, 1022, 1483, 737, 737, 9890, 2715, 330, 267, 737, 267, 2560, 10926, 4131, 2715, 330, 267, 737, 267, 2560, 348, 581, 20922, 607, 2715, 330, 348, 780, 1012, 5606, 514, 2572, 7769, 692, 3086, 2015, 519, 5311, 692, 2971, 31330, 271, 815, 2715, 272, 267, 476, 272, 270, 273, 267, 476, 272, 270, 274, 267, 2560, 476, 272, 14672, 267, 2560, 10926, 763, 3970, 540, 713, 5311, 568, 476, 271, 780, 2690, 1022, 1483, 737, 3152, 982, 4642, 692, 2971, 31330, 271, 2999, 2715, 330, 10926, 13295, 31330, 271, 568, 606, 31208, 2572, 2711, 269, 19452, 1022, 5311, 31330, 971, 602, 922, 3970, 568, 4642, 568, 606, 31208, 2572, 2711, 780, 2005, 666, 3362, 581, 3254, 602, 692, 1892, 519, 2040, 540, 1022, 1079, 31208, 2572, 7769, 568, 606, 31208, 2572, 2711, 563, 1892, 519, 1587, 540, 1022, 1079, 31208, 2572, 7769, 568, 606, 31208, 2572, 2711, 563, 1892, 519, 1587, 540, 1022, 1483, 1297, 543, 1022, 31208, 2572, 2711, 568, 606, 31208, 2572, 2711, 780, 1012, 1323, 22362, 540, 519, 7464, 7089, 3590, 692, 4131, 670, 581, 519, 1305, 540, 519, 2040, 540, 513, 2715, 330, 348, 585, 737, 513, 1483, 1297, 543, 606, 31208, 2572, 2711, 31330, 269, 4595, 2715, 271, 348, 568, 606, 31208, 2572, 2711, 519, 1305, 670, 2882, 519, 1062, 540, 3586, 9696, 2715, 330, 348, 585, 737, 513, 1483, 2338, 799, 568, 568, 25806, 547, 519, 1483, 2338, 269, 4595, 2715, 271, 348, 568, 6697, 547, 519, 1483, 1297, 4642, 519, 1305, 670, 849, 2882, 519, 31208, 2572, 7769, 780, 763, 1305, 670, 609, 519, 4238, 540, 1840, 543, 8691, 13822, 606, 10137, 540, 519, 1483, 1297, 1062, 269, 634, 3693, 2715, 271, 348, 568, 519, 19605, 3961, 543, 2715, 272, 348, 568, 519, 3818, 2364, 894, 3961, 269, 7102, 3693, 554, 540, 670, 814, 606, 19605, 11201, 282, 1775, 4318, 1421, 692, 2971, 6567, 327, 815, 2715, 6629, 327, 272, 267, 6567, 327, 273, 267, 2560, 10926, 5278, 2609, 540, 670, 723, 3818, 2364, 894, 538, 951, 525, 267, 855, 1346, 609, 1022, 3334, 799, 616, 4642, 798, 711, 269, 4935, 670, 568, 711, 513, 3501, 630, 14814, 264, 10137, 540, 519, 1483, 1297, 1062, 269, 1717, 2015, 585, 1142, 554, 606, 554, 8987, 272, 264, 971, 602, 554, 8987, 272, 264, 333, 815, 476, 272, 10774, 333, 952, 554, 333, 19749, 510, 271, 543, 554, 8987, 272, 264, 333, 284, 11433, 369, 952, 554, 333, 284, 271, 780, 2690, 1631, 2015, 21508, 369, 547, 581, 930, 17062, 1804, 1483, 1297, 971, 607, 513, 979, 690, 565, 630, 6200, 876, 264, 610, 513, 24440, 14658, 630, 1015, 2998, 690, 565, 269, 901, 554, 8987, 272, 264, 666, 581, 1572, 922, 29660, 2987, 2091, 540, 554, 267, 799, 949, 610, 949, 711, 581, 519, 4890, 3818, 2364, 894, 11201, 540, 554, 780, 763, 1587, 540, 1022, 554, 543, 922, 29660, 2987, 2091, 568, 513, 5311, 602, 5161, 540, 476, 272, 781, 543, 476, 271, 781, 269, 898, 1131, 581, 8799, 547, 581, 2111, 547, 2161, 602, 835, 540, 891, 9696, 568, 3592, 10876, 3160, 547, 519, 3818, 2364, 894, 3961, 2715, 272, 9574, 855, 971, 568, 711, 519, 2013, 269, 1703, 616, 9696, 799, 2165, 3729, 538, 606, 12808, 5311, 540, 4642, 525, 602, 267, 540, 1576, 267, 723, 513, 3970, 540, 4642, 780, 1012, 5606, 514, 885, 692, 13706, 513, 5311, 681, 28121, 337, 333, 282, 562, 284, 272, 267, 476, 273, 267, 2560, 348, 971, 602, 585, 1022, 1483, 737, 972, 568, 606, 715, 971, 602, 585, 782, 562, 285, 301, 678, 333, 285, 330, 269, 6270, 9696, 616, 1419, 1767, 547, 723, 513, 3970, 540, 20581, 269, 4595, 681, 285, 346, 330, 348, 585, 1022, 1483, 737, 681, 666, 581, 1767, 547, 581, 606, 12808, 1297, 269, 5221, 540, 519, 30162, 540, 25664, 725, 540, 12808, 621, 568, 1732, 547, 1289, 971, 2338, 19957, 269, 898, 5205, 3362, 602, 692, 1892, 634, 2040, 540, 1079, 19957, 2338, 568, 606, 19957, 1297, 563, 1892, 634, 1587, 540, 1079, 19957, 2338, 568, 606, 19957, 1297, 563, 1892, 634, 1587, 540, 606, 19957, 2338, 609, 513, 2318, 13113, 1297, 2715, 330, 348, 568, 606, 19957, 1297, 563, 1892, 634, 1587, 540, 606, 19957, 2338, 609, 2715, 271, 348, 568, 2715, 271, 348, 780, 1103, 1931, 585, 1142, 19957, 1297, 547, 723, 606, 19605, 11201, 621, 568, 2556, 547, 1331, 519, 10206, 540, 2942, 31208, 885, 269, 13575, 519, 3017, 540, 19957, 2338, 568, 967, 9057, 3729, 607, 547, 1826, 269, 1323, 19957, 1297, 799, 814, 1100, 4642, 3334, 814, 513, 3818, 2364, 894, 11201, 799, 568, 606, 31208, 2572, 2711, 780, 1012, 6348, 20598, 5811, 692, 31580, 545, 1949, 666, 581, 19775, 24936, 558, 5597, 267, 538, 799, 2013, 972, 568, 1100, 2243, 540, 6228, 855, 1152, 519, 2339, 540, 2436, 519, 24936, 1682, 616, 25401, 5812, 269, 17968, 15821, 1949, 971, 607, 519, 1483, 2338, 666, 581, 3710, 909, 856, 540, 1634, 2609, 267, 607, 568, 519, 2013, 1141, 595, 879, 16408, 6508, 519, 1483, 2338, 689, 4780, 7217, 9696, 540, 7787, 2338, 610, 667, 539, 2131, 785, 689, 851, 1431, 540, 519, 1305, 540, 7787, 2338, 269, 6270, 8174, 725, 666, 581, 1572, 3631, 540, 519, 1483, 2338, 780, 763, 10206, 602, 1945, 899, 519, 31208, 2572, 7769, 1223, 581, 598, 13499, 909, 676, 3274, 10747, 873, 607, 9424, 602, 616, 1447, 982, 1022, 1483, 2318, 1297, 1055, 1742, 6310, 2283, 4850, 269, 3371, 519, 2243, 540, 6228, 568, 14063, 780, 1432, 14062, 20484, 1705, 729, 6961, 602, 585, 513, 1305, 540, 5265, 19775, 3981, 1431, 972, 6818, 513, 2203, 971, 602, 1346, 3981, 1431, 616, 3020, 780, 763, 811, 3169, 3948, 540, 20484, 781, 3281, 716, 1145, 14497, 630, 5228, 7108, 4565, 3430, 264, 568, 692, 2252, 513, 1305, 3852, 352, 540, 6898, 630, 1993, 606, 3617, 2186, 264, 814, 519, 3959, 602, 1142, 13113, 15410, 3852, 352, 262, 540, 3852, 352, 814, 513, 2203, 630, 320, 2497, 538, 799, 782, 2818, 540, 3852, 352, 262, 616, 3020, 1070, 1287, 972, 1590, 581, 513, 2582, 2497, 799, 568, 513, 2203, 540, 3852, 352, 3294, 780, 2690, 1383, 267, 1577, 3852, 352, 2874, 540, 782, 3617, 6898, 7282, 519, 2067, 2338, 1927, 609, 519, 28222, 1082, 6898, 692, 2971, 21508, 369, 285, 272, 267, 21508, 369, 285, 273, 267, 2560, 21508, 369, 285, 333, 267, 2560, 692, 4322, 2161, 267, 972, 6818, 513, 7274, 3152, 982, 476, 272, 282, 972, 6818, 513, 7274, 3152, 982, 476, 273, 543, 865, 8521, 780, 10190, 676, 519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 16313, 18173, 282, 538, 1250, 4677, 594, 723, 1312, 11909, 543, 3043, 15496, 2371, 269, 1358, 4782, 5848, 547, 6632, 3037, 543, 1317, 1250, 3037, 568, 3819, 267, 789, 616, 849, 2110, 24331, 269, 3502, 865, 519, 1715, 4789, 14531, 282, 713, 568, 513, 5065, 14531, 799, 9428, 476, 275, 547, 476, 276, 3723, 609, 4190, 13711, 4544, 5810, 267, 2705, 621, 666, 1205, 1360, 1804, 538, 1175, 513, 7008, 540, 1296, 269, 8921, 1032, 594, 723, 547, 4666, 2212, 891, 2371, 267, 6028, 1152, 513, 7008, 547, 979, 547, 6079, 267, 799, 594, 666, 1287, 7556, 543, 2030, 538, 513, 1808, 1858, 540, 519, 21543, 563, 4002, 519, 2318, 2427, 267, 594, 729, 14281, 676, 606, 11606, 540, 6864, 850, 22468, 630, 21720, 569, 1634, 607, 897, 3518, 710, 264, 538, 1250, 4395, 4677, 602, 594, 729, 711, 24584, 269, 594, 1185, 2451, 519, 19155, 3206, 689, 513, 3845, 789, 941, 803, 20760, 678, 826, 267, 1152, 547, 581, 14281, 676, 713, 6029, 912, 288, 638, 850, 22468, 616, 835, 540, 1250, 19463, 2371, 267, 855, 594, 4043, 711, 547, 1332, 873, 607, 594, 1265, 538, 1250, 4677, 789, 616, 13881, 676, 22376, 7714, 269, 2290, 1554, 594, 723, 513, 4190, 2030, 538, 2407, 8768, 267, 543, 519, 1985, 1554, 1175, 513, 1906, 11710, 1869, 7555, 269, 594, 4076, 7444, 1044, 13868, 873, 676, 803, 20760, 678, 826, 267, 799, 585, 803, 814, 513, 2147, 561, 2329, 1413, 267, 799, 594, 899, 950, 19610, 609, 3984, 553, 543, 1490, 684, 1676, 320, 269, 590, 1663, 7714, 1810, 1406, 3100, 547, 899, 803, 20760, 678, 826, 267, 855, 585, 930, 7164, 2601, 713, 1032, 267, 789, 849, 2451, 519, 6864, 850, 22468, 4805, 269, 9122, 593, 713, 594, 723, 2094, 10288, 930, 5452, 689, 519, 5065, 6864, 850, 22468, 267, 13985, 850, 22468, 2052, 611, 18424, 267, 799, 814, 4190, 2699, 543, 5835, 5810, 543, 849, 15055, 3141, 547, 851, 6879, 1228, 563, 4517, 6368, 519, 23487, 539, 1212, 9429, 1347, 12340, 538, 1250, 15989, 269, 594, 723, 513, 1507, 15989, 799, 594, 723, 1044, 13327, 5338, 609, 804, 1478, 538, 1250, 3801, 547, 1118, 519, 15989, 8902, 543, 811, 1970, 5826, 269, 1849, 1478, 814, 513, 2603, 540, 1390, 2640, 538, 513, 1876, 1519, 3395, 538, 4057, 11934, 269, 1849, 1478, 568, 513, 9436, 21338, 1850, 2541, 267, 865, 621, 786, 2087, 519, 1072, 540, 519, 3037, 543, 519, 4478, 6371, 267, 2115, 1447, 14450, 543, 544, 12976, 267, 24643, 6225, 7786, 267, 543, 24921, 856, 18047, 269, 10251, 1498, 621, 1281, 711, 15624, 856, 519, 1212, 9429, 1347, 12340, 543, 2965, 4667, 547, 1071, 7721, 626, 609, 621, 32069, 269, 634, 5227, 3070, 538, 513, 15989, 568, 547, 1688, 7485, 519, 1212, 9429, 1347, 12340, 543, 1317, 621, 9428, 676, 29127, 2345, 799, 1287, 3597, 883, 519, 3037, 267, 9427, 782, 2694, 540, 519, 2030, 666, 581, 1360, 942, 10438, 269, 594, 723, 4862, 602, 621, 568, 4443, 952, 596, 27653, 519, 2666, 1101, 610, 18290, 1310, 621, 814, 986, 1441, 269, 8074, 547, 8885, 267, 15313, 606, 7952, 547, 948, 803, 1310, 1142, 11811, 538, 519, 5614, 267, 2901, 602, 610, 1451, 547, 2648, 621, 2336, 3080, 540, 519, 2038, 4191, 602, 4832, 568, 4947, 547, 513, 2673, 568, 519, 18735, 540, 1494, 1540, 544, 4548, 269, 1452, 4190, 2887, 5810, 2097, 538, 513, 2039, 540, 15437, 689, 3043, 547, 5835, 547, 3276, 326, 1495, 344, 543, 3592, 3388, 538, 1063, 269, 1358, 14897, 950, 15496, 568, 2944, 267, 1152, 585, 1007, 3283, 547, 2408, 1985, 1032, 782, 1494, 1540, 909, 543, 28480, 1527, 2224, 569, 1586, 269, 4014, 789, 616, 21064, 630, 29773, 476, 276, 268, 280, 1070, 835, 3085, 1406, 2356, 1265, 873, 538, 519, 8768, 5127, 267, 855, 3079, 789, 616, 10268, 538, 8748, 1494, 1540, 12417, 563, 4263, 519, 1439, 540, 519, 4005, 267, 2864, 982, 8380, 873, 538, 519, 11003, 267, 1946, 711, 2119, 9544, 873, 888, 2467, 616, 513, 1906, 1919, 835, 666, 798, 547, 2119, 547, 948, 707, 544, 4548, 7639, 519, 5162, 538, 519, 2666, 912, 16521, 2371, 4171, 19512, 10093, 1406, 3323, 547, 1930, 269, 7233, 873, 538, 513, 3677, 1494, 609, 4195, 29238, 3037, 585, 4159, 5301, 267, 1287, 267, 693, 519, 1439, 540, 519, 4005, 2030, 873, 2047, 538, 519, 2666, 563, 300, 4548, 991, 2407, 3141, 476, 276, 268, 277, 3108, 3232, 563, 300, 4548, 991, 3638, 1134, 27071, 3037, 267, 865, 1039, 11003, 547, 519, 3037, 950, 9544, 563, 5475, 28480, 568, 8737, 2759, 519, 2030, 1394, 547, 827, 476, 1015, 9492, 689, 519, 2666, 269, 630, 7775, 7227, 543, 798, 713, 538, 519, 5614, 12467, 300, 4548, 723, 13719, 5072, 267, 865, 621, 779, 1271, 547, 22890, 873, 1134, 609, 1896, 6279, 540, 22890, 547, 1832, 519, 5072, 689, 646, 3058, 998, 519, 19068, 555, 1177, 9979, 540, 5162, 269, 1403, 596, 1294, 602, 789, 723, 3389, 539, 267, 1175, 7903, 873, 1394, 883, 519, 2666, 563, 5445, 849, 991, 6266, 540, 1216, 267, 865, 1832, 873, 1134, 530, 23926, 538, 519, 17428, 607, 1134, 950, 596, 2322, 873, 538, 519, 2666, 454, 2252, 596, 4076, 1044, 3811, 543, 519, 544, 4548, 7639, 519, 5162, 267, 519, 1766, 894, 2262, 1934, 568, 968, 604, 892, 607, 789, 723, 1044, 7142, 883, 519, 8748, 2208, 649, 1294, 269, 1924, 267, 952, 789, 7639, 912, 2026, 789, 616, 11630, 547, 7646, 1168, 267, 789, 991, 7899, 540, 2011, 10009, 267, 543, 6640, 3141, 547, 3819, 519, 632, 342, 689, 519, 3762, 269, 5213, 1406, 2030, 873, 1141, 789, 786, 581, 4216, 539, 538, 563, 5629, 789, 723, 6603, 513, 4463, 540, 476, 1428, 9492, 32521, 519, 1007, 2208, 1394, 547, 5000, 2427, 22534, 543, 811, 2887, 15496, 269, 901, 666, 581, 2944, 513, 1906, 2053, 2394, 4571, 547, 3735, 4873, 563, 16605, 519, 2371, 1134, 2914, 23926, 543, 6992, 1242, 609, 513, 476, 276, 268, 1015, 268, 1015, 13226, 563, 5319, 2809, 1776, 16802, 540, 7990, 689, 891, 5863, 2371, 519, 1985, 2887, 563, 2791, 949, 849, 1616, 547, 1832, 606, 3750, 856, 693, 519, 4677, 18013, 538, 519, 5614, 585, 21064, 932, 24075, 656, 1335, 4548, 602, 596, 666, 1332, 538, 707, 4677, 269, 1703, 616, 1082, 4190, 28212, 538, 513, 2647, 2039, 540, 15437, 543, 7306, 602, 786, 1832, 707, 2887, 8768, 5127, 3168, 20498, 563, 2026, 5018, 538, 519, 1250, 3105, 5816, 267, 2870, 2635, 3037, 568, 547, 581, 519, 1888, 540, 713, 2376, 563, 30144, 3037, 568, 1500, 909, 540, 519, 1739, 3334, 912, 306, 663, 267, 521, 2830, 543, 10036, 1107, 538, 1022, 3037, 789, 616, 519, 7633, 267, 519, 2497, 602, 568, 519, 5748, 593, 799, 519, 1964, 568, 3710, 269, 6168, 476, 4366, 260, 540, 519, 3037, 563, 21080, 5624, 1107, 616, 519, 9641, 540, 519, 3037, 269, 1358, 1450, 585, 3350, 540, 5135, 267, 1216, 267, 543, 5567, 269, 6168, 476, 1839, 260, 540, 519, 3037, 454, 16391, 545, 1570, 1107, 568, 519, 1426, 799, 16138, 8460, 519, 3037, 547, 1118, 621, 513, 2713, 2890, 6523, 332, 585, 2371, 547, 1332, 538, 269, 634, 14471, 538, 519, 3037, 1184, 519, 5214, 1570, 883, 513, 1106, 602, 2371, 666, 946, 950, 789, 991, 621, 269, 634, 3677, 7103, 538, 519, 3037, 948, 547, 2226, 922, 2497, 269, 634, 5214, 1570, 538, 519, 3037, 568, 849, 899, 513, 26703, 799, 786, 3180, 1082, 2053, 922, 2597, 538, 1216, 269, 901, 4564, 23679, 827, 476, 275, 260, 540, 519, 3037, 563, 12850, 1107, 568, 899, 1973, 269, 898, 11438, 519, 5567, 689, 519, 3037, 547, 519, 5072, 540, 2371, 538, 513, 1106, 519, 2371, 666, 946, 563, 1103, 519, 8027, 1646, 1141, 594, 2661, 267, 649, 723, 1044, 3177, 609, 1434, 7633, 269, 2368, 540, 519, 11934, 949, 723, 811, 610, 1447, 540, 835, 5057, 982, 1776, 267, 855, 585, 519, 1034, 851, 519, 7633, 616, 1434, 563, 5804, 1250, 5133, 267, 519, 7887, 2152, 616, 912, 4818, 9146, 689, 782, 540, 519, 5230, 4070, 3937, 602, 814, 1044, 9141, 936, 543, 936, 519, 4609, 269, 4634, 950, 519, 1283, 31542, 729, 2322, 1524, 267, 29746, 18114, 543, 4439, 671, 9926, 619, 941, 1031, 269, 634, 3037, 543, 1016, 3037, 616, 7184, 11741, 539, 563, 331, 871, 540, 5214, 1570, 538, 519, 3037, 563, 1492, 17418, 540, 519, 3037, 547, 11677, 1216, 563, 2414, 7753, 891, 2042, 519, 3037, 2115, 547, 581, 7098, 730, 267, 2436, 676, 7344, 1797, 609, 513, 4295, 7098, 1807, 610, 676, 1688, 609, 513, 15524, 767, 269, 634, 11690, 338, 540, 3037, 267, 4352, 5667, 4774, 267, 666, 581, 2451, 593, 1283, 540, 519, 3037, 547, 3819, 856, 543, 1287, 2196, 936, 609, 513, 15989, 544, 1077, 547, 2736, 873, 909, 543, 3262, 873, 936, 519, 2666, 610, 15989, 269, 3973, 5214, 1570, 2115, 547, 581, 3773, 547, 519, 3037, 269, 1280, 519, 6371, 267, 594, 1131, 1039, 11003, 799, 596, 666, 6718, 538, 13557, 689, 4677, 18013, 269, 24619, 476, 272, 268, 273, 4699, 630, 272, 270, 273, 14615, 936, 519, 15989, 543, 986, 651, 621, 538, 269, 1411, 949, 1616, 547, 1039, 513, 2370, 6371, 6079, 1141, 972, 616, 11953, 9634, 269, 2060, 519, 11003, 267, 596, 4465, 1406, 723, 547, 1039, 1022, 824, 13226, 543, 596, 4465, 1406, 723, 547, 1216, 1360, 1454, 269, 1280, 1250, 8768, 543, 10448, 15135, 594, 1039, 513, 811, 21464, 2179, 540, 11003, 610, 23226, 267, 2324, 519, 23226, 883, 519, 3037, 865, 621, 3085, 1406, 9329, 563, 2005, 3217, 476, 273, 269, 276, 9492, 630, 272, 14615, 540, 1216, 547, 23309, 476, 1428, 9492, 630, 277, 14615, 883, 519, 3037, 269, 2060, 2011, 5624, 543, 2789, 7252, 585, 519, 1216, 547, 15666, 547, 543, 609, 5214, 1570, 547, 957, 607, 513, 26703, 543, 3180, 519, 1216, 267, 519, 1216, 786, 3251, 769, 519, 3037, 1732, 543, 711, 2196, 1055, 269, 1280, 3395, 5388, 476, 273, 269, 276, 9492, 829, 3018, 568, 513, 1434, 4341, 540, 14853, 269, 5410, 811, 952, 621, 779, 1360, 3905, 610, 2842, 344, 269, 2060, 2635, 3037, 267, 14450, 519, 15989, 543, 4677, 568, 1447, 540, 606, 3390, 563, 763, 1034, 1455, 6371, 1031, 585, 7091, 3429, 568, 17996, 9791, 23420, 269, 898, 568, 2067, 585, 713, 6371, 547, 979, 26862, 538, 519, 3905, 4832, 3275, 269, 2060, 1434, 2635, 3037, 547, 1489, 621, 267, 519, 6371, 786, 581, 2111, 547, 7753, 519, 10980, 543, 2847, 633, 607, 519, 4365, 4991, 16830, 563, 2791, 917, 596, 723, 2635, 3037, 950, 621, 814, 513, 8799, 1835, 3518, 569, 9403, 267, 519, 2627, 540, 519, 3037, 3085, 1406, 11523, 689, 519, 3002, 543, 950, 519, 3037, 25309, 1216, 3079, 952, 2348, 519, 1216, 1694, 538, 20115, 610, 2196, 1055, 883, 546, 9662, 269, 594, 4076, 3773, 513, 7008, 540, 1357, 4609, 609, 2417, 1344, 827, 2635, 11934, 543, 4946, 11003, 547, 1876, 985, 563, 7069, 5326, 568, 4947, 6251, 547, 1373, 7691, 269, 634, 4070, 2754, 19345, 909, 519, 4070, 1858, 267, 6569, 513, 2603, 540, 519, 3677, 10007, 543, 28439, 519, 3959, 269, 1879, 621, 22856, 713, 21249, 1463, 338, 1216, 547, 519, 4155, 538, 4395, 543, 547, 519, 6952, 16935, 538, 519, 1394, 269, 630, 296, 6557, 2469, 547, 723, 547, 1544, 875, 547, 2030, 1250, 1216, 15962, 2371, 547, 1491, 5413, 540, 713, 12775, 4700, 1284, 723, 5143, 519, 14155, 908, 1004, 602, 649, 786, 581, 8380, 538, 513, 3802, 3118, 543, 1216, 29054, 269, 1358, 24963, 1305, 909, 519, 6445, 547, 13918, 602, 563, 2026, 4166, 607, 519, 1283, 31542, 729, 9447, 538, 4571, 4873, 267, 594, 1705, 519, 544, 1783, 20220, 3037, 5888, 1449, 267, 1210, 519, 7581, 916, 517, 1249, 6656, 594, 11540, 538, 519, 3105, 5816, 543, 1586, 2630, 269, 634, 3037, 1449, 2164, 1397, 3138, 600, 269, 1717, 972, 568, 1100, 5214, 1570, 538, 713, 3037, 269, 24581, 3937, 729, 1031, 547, 3262, 543, 3446, 519, 3037, 269, 898, 568, 5393, 11741, 539, 269, 1284, 10288, 2614, 11003, 547, 3382, 519, 1283, 31542, 547, 513, 3178, 476, 272, 268, 273, 9492, 269, 1284, 2731, 991, 476, 276, 268, 1015, 4699, 540, 11003, 563, 5629, 649, 3893, 519, 7091, 8704, 649, 941, 5143, 547, 1216, 621, 1134, 7466, 513, 1554, 585, 476, 276, 268, 278, 2395, 267, 1287, 3232, 585, 513, 3018, 269, 594, 530, 23926, 607, 2838, 267, 1818, 2386, 519, 1216, 1185 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2676, 19575, 9874, 1848, 6468, 538, 9085, 281, 7335, 3414, 519, 30776, 540, 13834, 269, 3798, 269, 7603, 1176, 333, 17384, 543, 31130, 590, 269, 8125, 828, 269, 4639, 1636, 267, 1230, 333, 12727, 5682, 6229, 4964, 267, 476, 1220, 274, 269, 476, 4510, 268, 5379, 269, 681, 696, 269, 538, 5753, 781, 9085, 5623, 269, 3798, 269, 8751, 31293, 269, 5292, 269, 476, 15782, 269, 24354, 281, 717, 1446, 267, 476, 1220, 279, 269, 9085, 8249, 689, 717, 1446, 269, 5680, 269, 476, 272, 8734, 269, 476, 1001, 272, 563, 298, 8457, 5633, 267, 634, 25564, 631, 269, 834, 763, 13642, 2961, 335, 1656, 22994, 344, 16299, 281, 23052, 6504, 334, 1323, 11535, 781, 11638, 4211, 8590, 1143, 4799, 27839, 639, 476, 2190, 269, 273, 630, 1960, 280, 2567, 476, 14689, 268, 10170, 269, 14288, 9612, 13159, 269, 5680, 269, 476, 272, 8734, 269, 476, 1001, 272, 563, 299, 600, 611, 5090, 267, 2037, 686, 4302, 681, 269, 834, 300, 2814, 607, 519, 15465, 6713, 540, 15019, 9177, 538, 23052, 6504, 334, 1323, 11535, 781, 454, 289, 1652, 2725, 267, 8299, 9874, 281, 634, 12480, 624, 923, 540, 11310, 1701, 3571, 3966, 807, 476, 6924, 269, 274, 630, 5353, 696, 269, 476, 2735, 276, 2567, 476, 5392, 277, 268, 26341, 269, 681, 696, 269, 538, 5753, 781, 9085, 5623, 269, 3798, 269, 8751, 31293, 269, 5292, 269, 476, 15782, 269, 24354, 281, 717, 1446, 267, 476, 1220, 279, 269, 9085, 8249, 689, 717, 1446, 269, 5680, 269, 476, 272, 8734, 269, 476, 1001, 272, 563, 299, 3430, 514, 267, 31996, 517, 661, 269, 968, 763, 2372, 652, 1280, 19088, 545, 17496, 769, 12634, 7111, 1977, 1656, 454, 2419, 4618, 334, 11470, 1848, 1977, 9085, 476, 2004, 269, 275, 630, 3192, 280, 2567, 476, 27698, 268, 2412, 269, 14288, 9612, 13159, 269, 5680, 269, 476, 272, 8734, 269, 476, 1001, 272, 563, 300, 527, 23025, 267, 8349, 269, 968, 305, 644, 6504, 334, 1323, 11535, 781, 645, 1652, 2725, 267, 8299, 9874, 281, 28477, 9177, 769, 9085, 1848, 7600, 1664, 476, 2420, 269, 272, 454, 263, 2735, 271, 2567, 476, 4649, 268, 5038, 269, 14288, 9612, 13159, 269, 5680, 269, 476, 272, 8734, 269, 476, 1001, 272, 563, 305, 690, 619, 267, 13191, 269, 968, 763, 9577, 540, 519, 5487, 700, 3271, 7431, 7763, 604, 538, 23052, 6504, 334, 1323, 11535, 781, 645, 1652, 2725, 267, 8299, 9874, 3034, 31142, 1977, 16520, 5623, 476, 276, 269, 1015, 630, 306, 7428, 4149, 28026, 476, 3192, 278, 2567, 476, 5038, 268, 7597, 269, 681, 696, 269, 538, 12634, 16520, 29576, 8564, 269, 24354, 281, 717, 1446, 267, 476, 1220, 279, 269, 9085, 8249, 689, 717, 1446, 269, 5680, 269, 476, 272, 8734, 269, 476, 1001, 272, 269, 0, 294, 8681, 323, 5922, 540, 23826, 26401, 31848, 966, 5028, 7671, 12658, 9007, 267, 645, 872, 2763, 667, 22844, 6199, 8843, 1200, 20516, 781, 1650, 563, 309, 5028, 7671, 12658, 9007, 729, 4535, 4873, 476, 2767, 267, 476, 4572, 275, 269, 2701, 8057, 909, 538, 1546, 3691, 322, 523, 267, 21640, 607, 606, 1152, 1126, 267, 855, 609, 513, 1804, 6905, 1920, 269, 2701, 6594, 1312, 2296, 543, 4436, 543, 21783, 689, 513, 6690, 685, 1164, 1153, 563, 4002, 4728, 476, 866, 267, 476, 3707, 275, 519, 21647, 13026, 21640, 543, 4166, 27502, 27226, 7642, 540, 741, 3540, 2924, 269, 634, 21647, 267, 19443, 676, 519, 23826, 1488, 992, 9061, 267, 7142, 7642, 856, 540, 741, 5321, 267, 4213, 267, 543, 3506, 543, 883, 575, 515, 1777, 657, 269, 966, 5028, 543, 1200, 1920, 267, 1519, 1200, 1655, 3659, 543, 23013, 267, 25795, 6390, 7671, 267, 941, 17031, 909, 883, 519, 1546, 3691, 322, 523, 575, 2867, 1729, 2059, 609, 519, 6967, 6014, 2551, 540, 741, 4884, 269, 2991, 1896, 3275, 538, 519, 575, 2867, 1729, 543, 3257, 7142, 4074, 538, 513, 15839, 12051, 267, 789, 4604, 539, 12418, 6517, 547, 26401, 24517, 1674, 8805, 269, 898, 729, 4873, 476, 2767, 628, 476, 3707, 275, 267, 966, 5028, 779, 476, 736, 628, 14512, 563, 309, 5028, 729, 538, 26401, 585, 3670, 4374, 1354, 519, 21647, 2366, 1200, 547, 513, 544, 684, 1431, 12051, 538, 2353, 754, 21807, 267, 513, 1016, 3786, 540, 645, 1075, 1156, 342, 12245, 267, 1141, 1352, 729, 513, 10553, 28346, 337, 269, 1977, 4229, 5391, 23306, 1200, 972, 593, 4728, 476, 2764, 628, 267, 476, 3707, 276, 269, 1879, 966, 5028, 12038, 2663, 827, 713, 12051, 267, 1352, 1767, 602, 8164, 789, 1223, 267, 1352, 543, 1200, 2828, 1705, 711, 6445, 519, 4439, 7410, 609, 7784, 8869, 563, 309, 5028, 729, 519, 1152, 17005, 4759, 540, 1200, 7525, 1920, 269, 2991, 519, 2112, 267, 1352, 3357, 547, 22208, 593, 513, 14172, 689, 519, 670, 4068, 331, 7690, 547, 7390, 519, 2160, 540, 6115, 269, 2701, 9310, 3057, 9109, 12658, 9007, 543, 1185, 1079, 1453, 563, 309, 5028, 729, 513, 4759, 540, 519, 14195, 4741, 779, 4325, 5474, 13163, 585, 1082, 1296, 269, 966, 5028, 5293, 2476, 538, 476, 1001, 278, 563, 289, 872, 2763, 667, 22844, 6199, 568, 966, 5028, 781, 6264, 323, 5922, 269, 2701, 8057, 909, 6217, 2984, 540, 966, 5028, 781, 1272, 543, 1200, 14195, 6668, 269, 645, 872, 2763, 6499, 1200, 20516, 781, 1650, 547, 2661, 593, 543, 948, 1053, 1451, 4245, 689, 519, 14195, 269, 645, 872, 2763, 568, 513, 5856, 267, 519, 3993, 540, 1079, 1762, 1453, 267, 543, 2729, 538, 519, 22208, 1858, 269, 2701, 2968, 513, 4759, 540, 519, 4325, 5474, 13163, 538, 476, 1001, 279, 563, 20124, 281, 645, 872, 2763, 609, 1200, 20516, 267, 966, 5028, 12658, 9007, 563, 11321, 773, 268, 2304, 928, 781, 20516, 729, 513, 4759, 540, 519, 3943, 4187, 543, 5280, 547, 12404, 6014, 1004, 563, 2691, 594, 729, 513, 2370, 8004, 267, 594, 4862, 2984, 1472, 519, 12129, 3349, 689, 1920, 2818, 827, 1018, 5949, 1282, 519, 13303, 4436, 13567, 540, 8303, 267, 1753, 540, 1250, 3993, 779, 1920, 269, 3733, 9835, 15948, 814, 2141, 1044, 1250, 5869, 282, 607, 1352, 5280, 547, 4688, 476, 4968, 6014, 15076, 9101, 1210, 519, 1920, 10434, 2264, 15188, 25810, 607, 519, 2063, 3247, 540, 513, 674, 293, 296, 3943, 18650, 1591, 968, 8974, 3033, 16456, 892, 1354, 21945, 538, 1863, 5333, 563, 11321, 773, 268, 2304, 928, 781, 1875, 11219, 28779, 20516, 267, 595, 2946, 1467, 267, 8057, 909, 593, 519, 8473, 540, 5333, 543, 19934, 693, 519, 2490, 540, 519, 476, 736, 628, 2540, 267, 543, 9310, 11412, 2946, 631, 1421, 513, 25982, 540, 2622, 2782, 594, 267, 945, 3357, 689, 513, 1804, 6014, 1920, 269, 595, 2946, 1467, 5795, 4332, 547, 21322, 268, 2304, 928, 781, 3993, 267, 3244, 821, 267, 538, 476, 4572, 274, 269, 3244, 821, 729, 476, 1704, 693, 519, 1376, 540, 24918, 543, 19071, 1242, 607, 513, 7826, 547, 21372, 1200, 3368, 11219, 28779, 6561, 269, 4438, 519, 2112, 267, 11412, 2946, 4682, 883, 15720, 1247, 595, 2946, 1467, 267, 3244, 821, 267, 543, 3244, 821, 781, 7820, 7015, 8402, 7283, 538, 8303, 267, 2713, 1657, 741, 8800, 4558, 269, 634, 8800, 4558, 25810, 2968, 519, 2063, 3247, 593, 519, 5728, 3460, 540, 476, 4968, 15076, 883, 1863, 5333, 267, 945, 1131, 4283, 998, 519, 4558, 779, 1394, 6885, 543, 1287, 581, 1159, 10212, 1194, 547, 513, 8473, 6728, 538, 10626, 18114, 269, 3244, 821, 729, 849, 513, 4759, 540, 519, 3943, 4187, 267, 543, 1631, 21322, 268, 2304, 928, 8843, 891, 2984, 540, 1200, 1920, 563, 17556, 557, 623, 745, 345, 534, 781, 22594, 543, 1010, 3993, 19679, 5125, 538, 476, 4350, 280, 267, 543, 1500, 741, 1753, 538, 519, 2136, 2276, 563, 17556, 557, 623, 745, 345, 534, 779, 22594, 267, 7665, 543, 4477, 2940, 5576, 23127, 879, 267, 11262, 513, 1804, 3484, 538, 5125, 269, 1358, 1185, 11262, 543, 13234, 519, 3484, 693, 2782, 916, 523, 267, 5125, 585, 1082, 5481, 269, 898, 729, 513, 11018, 1747, 585, 1920, 945, 5030, 7404, 269, 3571, 22516, 267, 7665, 5576, 23127, 879, 6039, 538, 2622, 2782, 594, 269, 1261, 6594, 6683, 267, 23762, 1010, 2244, 3180, 902, 267, 1031, 519, 1034, 8242, 6694, 2409, 267, 543, 11827, 513, 9960, 1505, 585, 12418, 269, 1261, 729, 513, 6205, 538, 519, 1858, 543, 538, 519, 1507, 6014, 2146, 538, 2782, 916, 523, 563, 16655, 543, 4477, 2940, 9310, 538, 476, 4572, 274, 543, 19378, 779, 3993, 267, 769, 613, 729, 4535, 538, 476, 4572, 275, 269, 2991, 476, 4350, 274, 267, 950, 13609, 2968, 26554, 27891, 540, 5125, 267, 1919, 3893, 24482, 811, 2352, 585, 519, 5576, 331, 7431, 639, 269, 769, 613, 1185, 547, 1491, 513, 476, 276, 5662, 5721, 11878, 547, 12390, 1478, 538, 1931, 547, 979, 547, 1153, 607, 6014, 1053, 941, 711, 4847, 538, 4436, 3506, 269, 7665, 729, 18486, 593, 26701, 718, 333, 25638, 543, 4371, 693, 645, 1075, 1156, 342, 12245, 24517, 1674, 8805, 585, 476, 274, 4374, 2394, 1010, 7385, 6976, 513, 5386, 547, 1205, 1864, 5950, 563, 3528, 476, 4350, 279, 789, 1185, 1500, 4566, 547, 4734, 5125, 269, 4477, 2940, 1185, 513, 23013, 945, 729, 2907, 12306, 538, 22208, 267, 3220, 269, 17713, 2274, 327, 10458, 269, 2274, 327, 2006, 3177, 519, 5576, 23127, 879, 779, 609, 606, 3413, 573, 822, 527, 267, 543, 609, 7665, 779, 6683, 1995, 267, 519, 1920, 729, 2111, 547, 11880, 924, 519, 31705, 1184, 269, 1358, 30774, 689, 519, 13814, 593, 5181, 476, 272, 267, 476, 4350, 280, 269, 634, 5576, 331, 7431, 639, 12306, 538, 22208, 1141, 3220, 269, 2274, 327, 10458, 729, 513, 7986, 10629, 563, 17556, 557, 779, 3993, 267, 769, 613, 13984, 22208, 2160, 543, 21783, 609, 513, 4110, 538, 8808, 269, 2701, 9310, 20999, 623, 745, 345, 534, 267, 513, 22208, 18607, 563, 17556, 557, 568, 513, 8026, 18607, 538, 22208, 269, 1261, 8843, 1010, 1920, 779, 1650, 607, 513, 4759, 540, 519, 4325, 5474, 13163, 563, 294, 8681, 18876, 540, 2185, 14195, 15000, 267, 589, 20891, 28137, 6645, 741, 2984, 540, 16177, 267, 9939, 267, 543, 6043, 1247, 12719, 519, 6909, 12918, 540, 741, 6668, 563, 288, 20891, 781, 14774, 22594, 267, 589, 787, 324, 5576, 928, 3187, 543, 631, 26474, 21890, 514, 267, 941, 4535, 538, 26403, 807, 269, 589, 787, 324, 729, 4535, 538, 15662, 510, 879, 330, 384, 501, 333, 2967, 630, 4537, 4157, 12505, 1070, 26403, 807, 267, 1141, 538, 476, 3707, 272, 5176, 519, 2898, 6014, 2551, 729, 23689, 269, 589, 787, 324, 23012, 543, 1500, 1010, 1259, 547, 519, 590, 807, 592, 807, 328, 630, 4537, 822, 2993, 264, 575, 2867, 1729, 267, 1141, 646, 1558, 1010, 7385, 631, 26474, 267, 513, 4116, 945, 688, 6150, 689, 3026, 557, 1066, 2967, 630, 301, 5271, 15546, 1040, 2991, 519, 1744, 822, 2993, 717, 2867, 1729, 32003, 538, 5437, 476, 3707, 274, 267, 589, 787, 324, 543, 631, 26474, 554, 573, 538, 519, 18137, 585, 5216, 3275, 2394, 519, 8168, 8136, 5391, 23306, 26403, 807, 563, 288, 20891, 781, 533, 11189, 22594, 941, 689, 519, 3690, 11373, 3148, 538, 27597, 269, 3571, 22516, 2506, 559, 918, 7897, 8057, 909, 538, 2672, 680, 659, 267, 1247, 1010, 20516, 5345, 320, 670, 15077, 577, 729, 689, 717, 615, 5055, 269, 769, 2904, 476, 3707, 275, 267, 2506, 559, 543, 5345, 320, 941, 538, 744, 8565, 320, 950, 519, 575, 2867, 1729, 729, 4646, 2059, 609, 476, 3374, 267, 1822, 824, 7642, 267, 543, 711, 1279, 1310, 789, 941, 1312, 1244, 9285, 547, 26401, 269, 2991, 1373, 9674, 2390, 12625, 693, 26401, 267, 5345, 320, 729, 1287, 2366, 547, 853, 583, 628, 1993, 547, 581, 1031, 607, 10553, 4074, 267, 2394, 1352, 729, 7142, 593, 513, 2669, 15292, 538, 5130, 476, 3707, 276, 543, 5555, 5391, 23306, 676, 519, 8168, 8136, 269, 2506, 559, 729, 5391, 23306, 689, 645, 1075, 1156, 342, 12245, 538, 4989, 540, 476, 3707, 276, 543, 1336, 1010, 1259, 1394, 547, 5345, 320, 563, 8649, 5074, 569, 267, 1312, 15185, 8694, 909, 2713, 538, 519, 1507, 11824, 4884, 540, 715, 1695, 926, 5984, 267, 5840, 267, 543, 1079, 540, 741, 1453, 630, 288, 20891, 781, 3237, 264, 1558, 543, 9310, 269, 4653, 589, 20891, 2729, 538, 5617, 4582, 826, 267, 1568, 693, 9786, 267, 543, 8843, 1010, 22594, 262, 2984, 269, 0, 303, 6222, 807, 918, 537, 3258, 5336, 601, 2023, 267, 11354, 28418, 4400, 3427, 2073, 20279, 267, 7147, 267, 2136, 2276, 454, 306 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1572, 2387, 26855, 14737, 18269, 901, 5106, 568, 1031, 547, 1265, 519, 5934, 1871, 538, 513, 10471, 543, 922, 7222, 4994, 269, 1284, 3513, 849, 1451, 827, 19585, 6898, 267, 17787, 267, 543, 3252, 269, 2913, 781, 4685, 538, 2439, 5575, 267, 1577, 781, 1174, 1018, 513, 1362, 568, 269, 769, 5124, 267, 513, 1362, 568, 899, 513, 29685, 585, 2870, 3615, 269, 1323, 1843, 814, 3601, 543, 2409, 2404, 609, 621, 269, 16544, 616, 899, 519, 4162, 540, 606, 1843, 267, 1247, 2409, 616, 3527, 602, 519, 1843, 666, 1685, 780, 3086, 267, 1577, 781, 1413, 693, 519, 3009, 1384, 3499, 7090, 454, 5035, 14803, 14737, 318, 1321, 263, 318, 26855, 14737, 17107, 825, 1219, 6449, 8181, 9191, 1345, 267, 593, 333, 343, 17045, 267, 1784, 22561, 267, 2878, 9953, 687, 2187, 1038, 9041, 26855, 14737, 14857, 8181, 9191, 1345, 267, 593, 333, 343, 17045, 267, 1784, 284, 9188, 322, 2676, 4449, 1363, 4397, 318, 3430, 1026, 2373, 284, 26855, 14737, 318, 1321, 269, 30476, 2676, 4449, 1363, 2878, 9953, 687, 994, 7884, 1607, 3009, 11225, 513, 1362, 3957, 2387, 26855, 14737, 318, 1321, 12452, 799, 568, 513, 1016, 5035, 540, 1776, 1362, 1572, 2387, 318, 26855, 14737, 18269, 589, 1016, 5035, 9100, 1080, 3601, 543, 2409, 689, 922, 2385, 1362, 269, 769, 713, 2013, 267, 2387, 26855, 14737, 318, 1321, 319, 9100, 1080, 689, 2387, 318, 26855, 14737, 27471, 763, 2387, 1029, 8181, 1029, 319, 1505, 568, 513, 2027, 1505, 602, 568, 8850, 1572, 950, 606, 1843, 568, 2813, 689, 513, 1362, 269, 898, 3355, 3278, 519, 1843, 609, 930, 9949, 2418, 269, 769, 713, 2013, 267, 519, 2387, 1029, 8181, 1029, 319, 1505, 3217, 538, 1896, 7440, 267, 971, 607, 2387, 517, 333, 343, 17045, 12452, 2387, 9188, 322, 12452, 543, 2387, 9953, 687, 18269, 898, 849, 7125, 519, 2387, 1029, 8181, 1029, 319, 1505, 540, 519, 2385, 1362, 267, 2387, 318, 26855, 14737, 12452, 547, 3355, 1125, 930, 3601, 780, 9202, 267, 1577, 781, 1413, 693, 519, 2387, 318, 14725, 319, 1505, 1384, 3499, 7090, 454, 825, 1219, 9041, 14725, 4311, 267, 1239, 2567, 476, 1948, 28894, 842, 281, 771, 762, 284, 310, 28873, 272, 454, 1038, 952, 1582, 269, 572, 937, 9078, 770, 16229, 2652, 476, 271, 912, 2018, 2132, 9041, 26855, 14737, 11519, 14725, 4311, 267, 1239, 994, 1038, 2132, 630, 318, 1173, 2381, 318, 2224, 5332, 17056, 26000, 937, 9078, 770, 16229, 18692, 2018, 1239, 267, 7852, 284, 1345, 269, 9471, 267, 1832, 323, 15501, 284, 1345, 269, 18141, 323, 15501, 1070, 12467, 7884, 1607, 1505, 3217, 538, 606, 4661, 2387, 11907, 319, 543, 7024, 519, 5934, 1871, 543, 922, 4994, 538, 519, 10471, 269, 634, 1505, 1101, 11974, 952, 519, 1871, 540, 2387, 572, 937, 9078, 770, 16229, 319, 568, 3160, 547, 476, 271, 269, 1403, 621, 568, 267, 1287, 621, 7125, 519, 2387, 318, 14725, 319, 1505, 540, 519, 2385, 1362, 267, 2387, 318, 26855, 14737, 18269, 1403, 621, 781, 711, 267, 1287, 621, 7125, 513, 1599, 1572, 2387, 318, 1173, 2381, 318, 2224, 5332, 17056, 26000, 937, 9078, 770, 16229, 319, 609, 930, 7440, 780, 3086, 267, 1577, 781, 1413, 693, 519, 2387, 1729, 318, 7090, 319, 1505, 1384, 3499, 7090, 454, 825, 1219, 547, 318, 7090, 4311, 267, 11378, 2187, 1038, 3515, 815, 1496, 454, 2018, 834, 604, 2824, 9078, 770, 16229, 2652, 476, 271, 281, 20350, 2018, 834, 825, 2132, 9041, 1173, 2381, 20719, 271, 9574, 7852, 284, 9471, 267, 1832, 323, 15501, 284, 18141, 323, 15501, 264, 20350, 2018, 834, 8873, 9041, 1173, 2381, 318, 2224, 5332, 17056, 26000, 937, 9078, 770, 16229, 263, 20350, 2018, 834, 825, 2715, 271, 9574, 7852, 284, 9471, 267, 1832, 323, 15501, 284, 18141, 323, 15501, 17983, 2639, 1038, 2132, 18011, 5814, 11885, 14826, 5228, 16720, 2889, 18743, 269, 517, 333, 343, 4135, 269, 3591, 6831, 30298, 269, 641, 318, 1173, 2381, 1104, 9041, 1173, 2381, 267, 9041, 1173, 2381, 318, 2224, 5332, 17056, 26000, 937, 9078, 770, 16229, 22779, 3546, 27719, 333, 2668, 21860, 263, 6050, 1040, 8971, 9272, 338, 314, 271, 28413, 7884, 1607, 1505, 3217, 538, 606, 4661, 2387, 6358, 338, 319, 543, 7024, 513, 5569, 602, 4564, 519, 5124, 3009, 585, 519, 2387, 26855, 14737, 319, 5106, 269, 634, 5569, 568, 2813, 676, 11836, 1896, 3515, 540, 3009, 1927, 269, 634, 1101, 1899, 11974, 952, 519, 1871, 540, 2387, 572, 937, 9078, 770, 16229, 319, 568, 3160, 547, 476, 271, 269, 1403, 621, 568, 267, 1287, 621, 7024, 519, 5934, 1871, 543, 922, 4994, 1210, 519, 2387, 318, 1173, 2381, 319, 1599, 269, 1403, 621, 781, 711, 267, 1287, 621, 7024, 519, 5934, 1871, 543, 922, 4994, 1210, 519, 2387, 318, 1173, 2381, 318, 2224, 5332, 17056, 26000, 937, 9078, 770, 16229, 319, 1599, 780, 7661, 267, 1577, 781, 1413, 693, 519, 2063, 1906, 3515, 540, 3009, 1384, 3499, 7090, 454, 604, 593, 333, 343, 318, 641, 3553, 318, 11437, 3890, 13843, 476, 1321, 912, 825, 14803, 14737, 815, 14803, 14737, 318, 1321, 454, 12828, 912, 825, 14803, 14737, 815, 14803, 14737, 318, 1556, 454, 7884, 1607, 3009, 11974, 519, 4528, 540, 519, 10396, 301, 311, 11346, 1305, 543, 3651, 338, 519, 2387, 26855, 14737, 319, 1362, 547, 2901, 2387, 26855, 14737, 318, 1321, 319, 610, 2387, 26855, 14737, 318, 1556, 12452, 4470, 593, 519, 4528, 780, 1103, 5758, 267, 649, 4121, 827, 5049, 267, 3615, 267, 3601, 267, 2409, 267, 19585, 6898, 267, 17787, 267, 543, 3252, 538, 5124, 269, 1284, 849, 4121, 827, 513, 1808, 5106, 1572, 2387, 26855, 14737, 12452, 799, 568, 1031, 547, 1265, 519, 5934, 1871, 543, 922, 4994, 538, 513, 10471, 269, 1284, 4718, 875, 519, 2387, 26855, 14737, 319, 1362, 568, 3989, 543, 875, 621, 3096, 19585, 6898, 543, 3252, 547, 1685, 922, 5106, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 281, 476, 271, 10926, 825, 1219, 6449, 8181, 9191, 1345, 267, 593, 333, 343, 17045, 267, 1784, 22561, 267, 2878, 9953, 687, 2187, 1038, 9041, 26855, 14737, 14857, 8181, 9191, 1345, 267, 593, 333, 343, 17045, 267, 1784, 284, 9188, 322, 2676, 4449, 1363, 4397, 318, 3430, 1026, 2373, 284, 26855, 14737, 318, 1321, 269, 30476, 2676, 4449, 1363, 2878, 9953, 687, 2020, 825, 1219, 9041, 14725, 4311, 267, 1239, 2567, 476, 1948, 28894, 842, 281, 771, 762, 284, 310, 28873, 272, 454, 1038, 952, 1582, 269, 572, 937, 9078, 770, 16229, 2652, 476, 271, 912, 2018, 2132, 9041, 26855, 14737, 11519, 14725, 4311, 267, 1239, 994, 1038, 2132, 630, 318, 1173, 2381, 318, 2224, 5332, 17056, 26000, 937, 9078, 770, 16229, 18692, 2018, 1239, 267, 7852, 284, 1345, 269, 9471, 267, 1832, 323, 15501, 284, 1345, 269, 18141, 323, 15501, 1070, 25589, 825, 1219, 547, 318, 7090, 4311, 267, 11378, 2187, 1038, 3515, 815, 1496, 454, 2018, 834, 604, 2824, 9078, 770, 16229, 2652, 476, 271, 281, 20350, 2018, 834, 825, 2132, 9041, 1173, 2381, 20719, 271, 9574, 7852, 284, 9471, 267, 1832, 323, 15501, 284, 18141, 323, 15501, 264, 20350, 2018, 834, 8873, 9041, 1173, 2381, 318, 2224, 5332, 17056, 26000, 937, 9078, 770, 16229, 263, 20350, 2018, 834, 825, 2715, 271, 9574, 7852, 284, 9471, 267, 1832, 323, 15501, 284, 18141, 323, 15501, 17983, 2639, 1038, 2132, 18011, 5814, 11885, 14826, 5228, 16720, 2889, 18743, 269, 517, 333, 343, 4135, 269, 3591, 6831, 30298, 269, 641, 318, 1173, 2381, 1104, 9041, 1173, 2381, 267, 9041, 1173, 2381, 318, 2224, 5332, 17056, 26000, 937, 9078, 770, 16229, 22779, 3546, 27719, 333, 2668, 21860, 263, 6050, 1040, 8971, 9272, 338, 314, 271, 8079, 9239, 604, 593, 333, 343, 318, 641, 3553, 318, 11437, 3890, 13843, 476, 1321, 912, 825, 14803, 14737, 815, 14803, 14737, 318, 1321, 454, 12828, 912, 825, 14803, 14737, 815, 14803, 14737, 318, 1556, 454, 8199, 2237, 606, 3573, 543, 2143, 1837, 1770, 609, 19900, 1257, 543, 3009, 12612, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 1100, 1991, 1702, 540, 519, 1641, 269, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 12124, 1436, 543, 24779, 538, 15043, 18831, 692, 5331, 596, 2661, 538, 513, 1507, 8498, 1141, 3025, 6487, 1142, 824, 267, 543, 1272, 568, 2241, 543, 12560, 269, 1809, 835, 1554, 267, 707, 3237, 2995, 596, 602, 789, 723, 1336, 960, 538, 513, 2462, 2749, 1082, 5195, 2476, 269, 1358, 1397, 596, 5961, 540, 26009, 1236, 903, 322, 1905, 619, 267, 14297, 10754, 4904, 609, 6517, 543, 21772, 267, 543, 6990, 24492, 532, 609, 5370, 689, 782, 936, 519, 1158, 269, 4014, 6028, 3297, 707, 2828, 543, 5432, 10450, 786, 581, 2182, 267, 596, 1745, 9599, 827, 713, 1007, 7045, 256, 901, 9183, 4249, 856, 585, 6634, 540, 1004, 1472, 519, 8608, 945, 1847, 689, 6917, 2127, 547, 4872, 1169, 1032, 269, 2913, 781, 1451, 827, 1018, 4523, 950, 1004, 899, 596, 543, 707, 1920, 22109, 547, 4683, 2127, 543, 875, 621, 5540, 3384, 2477, 780, 4089, 476, 272, 281, 1548, 6496, 898, 6399, 1677, 2142, 12124, 1242, 2496, 2691, 649, 2911, 827, 20012, 267, 649, 3277, 547, 519, 1184, 998, 799, 3677, 2338, 540, 1004, 1376, 2713, 538, 4872, 2864, 982, 14252, 610, 24781, 4525, 269, 1306, 10034, 1332, 883, 8273, 4872, 267, 972, 616, 2242, 538, 5989, 267, 4346, 267, 1514, 8155, 267, 543, 6197, 269, 3509, 2188, 666, 3565, 547, 20012, 267, 971, 607, 1732, 2816, 3255, 267, 4824, 1569, 547, 3782, 267, 2069, 267, 543, 2029, 269, 1717, 267, 4028, 20012, 849, 6799, 2591, 899, 8027, 22520, 267, 6808, 20316, 267, 5533, 267, 543, 2799, 2604, 593, 2200, 899, 1216, 543, 5201, 780, 7078, 281, 6056, 540, 1715, 3840, 4975, 267, 835, 540, 519, 1034, 11599, 4683, 7740, 11451, 269, 4658, 26600, 547, 12924, 290, 5275, 7694, 538, 1585, 9922, 899, 8804, 267, 6752, 267, 2923, 267, 543, 9913, 269, 2755, 789, 2972, 519, 7524, 2686, 6429, 543, 2413, 29319, 267, 789, 1590, 4308, 609, 1164, 3790, 540, 2713, 267, 1279, 862, 2373, 267, 543, 10053, 2551, 780, 12244, 281, 9105, 1053, 547, 2721, 741, 5075, 540, 606, 4998, 2749, 1759, 593, 741, 1620, 865, 2484, 269, 11559, 873, 547, 2015, 3344, 899, 6283, 267, 8027, 267, 3039, 5624, 267, 16351, 6703, 267, 543, 2959, 540, 17612, 780, 4089, 476, 273, 281, 4197, 18378, 543, 4139, 24779, 692, 300, 12568, 4016, 547, 519, 3350, 540, 2043, 610, 2516, 689, 835, 1747, 547, 1776, 703, 2056, 547, 7017, 18385, 269, 1879, 7234, 9194, 1369, 513, 2197, 267, 649, 1289, 621, 4835, 9194, 1107, 899, 3001, 689, 513, 8498, 547, 513, 7404, 4884, 610, 2066, 2829, 1369, 513, 4182, 269, 17957, 267, 3486, 9194, 3322, 15385, 3084, 10665, 269, 5637, 3029, 540, 9194, 3648, 1764, 20012, 543, 6848, 3889, 538, 1312, 11488, 543, 8391, 2950, 780, 7078, 281, 6333, 3127, 267, 1753, 547, 835, 540, 519, 4102, 4835, 4955, 5928, 5001, 1813, 547, 922, 5318, 10923, 1163, 534, 572, 543, 3309, 2804, 3255, 269, 7085, 687, 540, 31356, 2951, 4005, 958, 1063, 6917, 6694, 6009, 1282, 7556, 12405, 543, 4070, 4609, 538, 4683, 2127, 1282, 1055, 5498, 3517, 269, 6684, 267, 6792, 12034, 1713, 900, 12568, 2509, 519, 2136, 2276, 10478, 585, 1732, 13848, 543, 2298, 540, 1272, 780, 12244, 281, 19147, 1053, 883, 8424, 543, 3651, 2901, 1412, 514, 4156, 9194, 262, 610, 1412, 514, 1181, 1049, 9194, 9538, 5620, 873, 1382, 1614, 5013, 827, 741, 8655, 1826, 1210, 6325, 2959, 1354, 4687, 609, 519, 1362, 780, 4089, 476, 274, 281, 12694, 543, 19662, 3465, 5034, 1635, 12124, 1436, 543, 24779, 692, 4407, 20012, 543, 9194, 3142, 3875, 2640, 899, 4598, 547, 4763, 267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 11514, 2452, 532, 476, 10037, 910, 476, 3445, 540, 476, 26825, 454, 2304, 2376, 593, 519, 946, 540, 2029, 547, 12954, 6310, 3206, 1256, 676, 519, 2547, 2693, 1053, 454, 1607, 7317, 2983, 334, 5040, 813, 2280, 2636, 3408, 540, 513, 5276, 7004, 538, 2474, 540, 2592, 540, 513, 1305, 540, 2798, 269, 634, 2983, 334, 5040, 8818, 2636, 1951, 21794, 540, 2798, 543, 10321, 547, 1118, 585, 11684, 29293, 540, 2596, 5276, 7223, 2093, 269, 21909, 539, 2238, 616, 3769, 269, 0, 4263, 713, 2085, 267, 22525, 6484, 568, 1271, 607, 789, 616, 1631, 5827, 540, 1818, 3664, 827, 1018, 789, 1616, 547, 3548, 563, 20524, 14312, 543, 2635, 22525, 16152, 547, 3049, 707, 3395, 1126, 563, 1432, 781, 593, 519, 10624, 891, 2395, 286, 3776, 3214, 786, 8853, 593, 2571, 3349, 3536, 1107, 5667, 531, 1540, 543, 2759, 883, 1507, 4773, 1107, 7132, 4816, 23611, 543, 5144, 269, 898, 666, 581, 1434, 547, 6338, 3536, 609, 1114, 18282, 547, 4228, 454, 301, 5847, 568, 1732, 585, 20854, 547, 3548, 982, 5388, 1107, 543, 4986, 4667, 9875, 982, 7674, 621, 547, 873, 256, 8347, 891, 476, 1015, 4388, 547, 1205, 3214, 547, 3548, 5388, 563, 2252, 972, 781, 513, 22525, 538, 519, 2777, 945, 4465, 1405, 2119, 1022, 1007, 1426, 267, 707, 1655, 8929, 693, 1967, 949, 581, 547, 2709, 621, 1896, 2053, 538, 513, 1906, 2081, 269, 6258, 811, 563, 303, 1157, 344, 4189, 568, 1455, 1851, 1762, 1453, 269, 1411, 949, 1616, 547, 1589, 540, 621, 607, 851, 540, 741, 1391, 547, 581, 4830, 269, 4855, 856, 811, 563, 6624, 540, 721, 616, 3543, 12579, 267, 610, 693, 2547, 3548, 1447, 5779, 982, 649, 1031, 547, 269, 21894, 11951, 649, 4196, 938, 3885, 267, 621, 781, 1271, 602, 938, 20854, 1205, 519, 1318, 11100, 540, 5567, 267, 1519, 2614, 4401, 543, 454, 24404, 12288, 1000, 657, 693, 519, 18226, 3349, 281, 5796, 593, 9591, 2635, 4189, 13467, 609, 707, 22525, 563, 5978, 3742, 20854, 3006, 3100, 1932, 11112, 547, 3548, 267, 543, 621, 781, 2182, 711, 547, 4898, 952, 789, 2811, 3478, 2614, 1426, 269, 6258, 811, 827, 4819, 7874, 3536, 563, 26594, 4808, 547, 3715, 1434, 22525, 4189, 3270, 543, 1118, 1920, 803, 5306, 830, 1187, 563, 7312, 1079, 4458, 6040, 4667, 581, 1360, 1880, 609, 1200, 1426, 5079, 269, 4855, 856, 875, 547, 2057, 12959, 1247, 4543, 1200, 7753, 713, 3942, 563, 1432, 568, 519, 3017, 1063, 1426, 14711, 543, 1426, 22166, 286, 6904, 15416, 543, 3800, 798, 596, 991, 547, 1491, 547, 948, 707, 1126, 945, 568, 2348, 6547, 547, 1426, 286, 0, 301, 553, 2684, 31099, 2860, 568, 513, 2068, 538, 799, 23872, 630, 4754, 1356, 264, 2281, 1106, 538, 519, 16298, 540, 519, 17725, 13570, 630, 1231, 728, 540, 519, 9224, 264, 543, 11563, 269, 898, 568, 4686, 538, 1453, 7820, 982, 476, 1015, 543, 811, 1455, 538, 14038, 563, 1607, 14911, 543, 4244, 4915, 630, 290, 4456, 264, 1344, 5758, 2488, 606, 7650, 540, 519, 946, 540, 1715, 31069, 2068, 3644, 630, 21254, 309, 264, 607, 513, 2126, 585, 1004, 609, 2860, 269, 634, 5758, 2882, 513, 5618, 1686, 540, 27020, 309, 1382, 267, 513, 2689, 540, 8047, 543, 3662, 2090, 267, 519, 2164, 540, 4791, 8062, 267, 543, 2009, 2427, 2360, 540, 27020, 309, 2861, 3797, 269, 11153, 1114, 12490, 540, 27020, 309, 786, 581, 5941, 538, 519, 5758, 267, 1519, 519, 23826, 8833, 631, 8025, 630, 5415, 20537, 16593, 9984, 6924, 269, 6176, 4843, 538, 930, 2483, 32391, 11790, 267, 12580, 267, 543, 26616, 543, 853, 1645, 18873, 454, 763, 1981, 540, 13439, 2684, 31099, 2860, 568, 7494, 2799, 676, 2348, 606, 3968, 609, 519, 9210, 7322, 5174, 1551, 3644, 630, 292, 29669, 1070, 799, 3468, 338, 2281, 540, 519, 4761, 1062, 563, 301, 553, 2684, 31099, 2860, 949, 2014, 1022, 540, 519, 1739, 4191, 543, 2589, 269, 6744, 609, 707, 1126, 781, 4387, 952, 596, 1294, 1022, 540, 519, 1739, 2042, 538, 707, 1126, 912, 303, 664, 1652, 561, 7927, 538, 519, 8405, 563, 28343, 539, 610, 8631, 344, 9224, 563, 3682, 21793, 3001, 519, 10265, 563, 8448, 2175, 602, 616, 711, 13439, 2684, 31099, 2860, 949, 2014, 891, 1482, 2589, 563, 2691, 13439, 2684, 31099, 568, 8995, 267, 621, 2356, 814, 2907, 3262, 547, 9726, 9136, 538, 519, 8405, 543, 7633, 540, 519, 15693, 269, 898, 949, 849, 3262, 547, 519, 9224, 267, 5023, 267, 11563, 267, 7633, 267, 5761, 267, 543, 5924, 6797, 563, 307, 3949, 547, 13209, 543, 3942, 13439, 2684, 31099, 2860, 949, 1331, 519, 1739, 912, 16498, 981, 543, 1686, 563, 28122, 540, 519, 2212, 543, 8405, 563, 6311, 11571, 540, 519, 9221, 543, 17737, 4586, 8450, 519, 4937, 6176, 3296, 585, 513, 6609, 540, 891, 4255, 543, 5773, 563, 8448, 4255, 1031, 547, 13209, 610, 3942, 13439, 2684, 31099, 2860, 1331, 519, 1739, 912, 301, 553, 22000, 281, 589, 5650, 538, 799, 513, 4387, 7696, 338, 513, 13439, 24005, 630, 320, 6094, 267, 1769, 539, 8546, 264, 883, 519, 3461, 781, 9224, 547, 1413, 585, 9402, 2127, 563, 10468, 9951, 673, 981, 281, 589, 3126, 540, 2055, 543, 4255, 547, 2638, 519, 2634, 267, 11983, 10260, 267, 543, 8229, 1599, 269, 634, 981, 11974, 513, 1268, 781, 2790, 4567, 267, 11558, 267, 543, 2702, 547, 3802, 7363, 267, 543, 875, 1134, 519, 6091, 267, 12823, 267, 543, 16846, 525, 960, 269, 901, 949, 849, 581, 1572, 513, 5778, 981, 610, 513, 11719, 545, 981, 563, 22977, 7322, 5174, 1551, 3644, 630, 292, 29669, 264, 4255, 281, 10552, 4255, 547, 2638, 585, 12489, 547, 519, 9210, 7322, 5174, 1551, 3644, 543, 5027, 12508, 540, 519, 9210, 7322, 5174, 1551, 3644, 269, 1452, 616, 1336, 538, 519, 1973, 540, 2550, 945, 723, 1044, 7783, 609, 661, 29669, 563, 763, 23567, 630, 577, 766, 540, 6051, 264, 585, 1034, 1762, 2550, 609, 13439, 2684, 31099, 2860, 568, 1360, 1434, 269, 634, 23567, 543, 2126, 3681, 4096, 593, 519, 1739, 912, 763, 2450, 540, 519, 10510, 693, 5868, 563, 15371, 519, 10510, 814, 3262, 547, 7404, 8031, 267, 9726, 9136, 267, 610, 11397, 2694, 540, 519, 1560, 269, 0, 16485, 513, 7726, 454, 8253, 1518, 2725, 2201, 7726, 22352, 454, 10387, 841, 713, 7726, 454, 7069, 4620, 684, 5362, 616, 3520, 1026, 569, 20202, 910, 594, 8263, 555, 686, 1186, 616, 538, 1852, 4352, 594, 723, 6836, 547, 1832, 873, 18233, 1055, 630, 514, 4167, 20141, 12853, 264, 543, 10936, 539, 609, 513, 11528, 630, 2180, 821, 343, 1040, 1772, 972, 4376, 3116, 594, 1522, 2119, 286, 14348, 513, 26862, 3282, 10936, 960, 267, 543, 952, 865, 950, 1131, 594, 946, 621, 286, 4746, 267, 972, 616, 1507, 17494, 602, 616, 4440, 669, 558, 4771, 519, 32395, 269, 1548, 1131, 960, 547, 2061, 610, 6146, 873, 286, 1215, 798, 17494, 666, 1205, 883, 1250, 8768, 10833, 267, 602, 616, 693, 2547, 476, 277, 3952, 1055, 519, 2666, 888, 31948, 901, 14174, 304, 454, 30821, 684, 5362, 608, 8775, 513, 6923, 20202, 6219, 998, 741, 11710, 602, 849, 3262, 547, 519, 5810, 269, 4014, 1100, 835, 6487, 585, 2386, 1946, 713, 7613, 4386, 1152, 538, 4620, 684, 5362, 267, 1082, 7762, 534, 1235, 3494, 621, 568, 513, 8878, 7271, 547, 15972, 647, 9535, 7786, 971, 607, 30293, 543, 555, 686, 1186, 269, 3509, 22254, 1265, 519, 20202, 6219, 547, 581, 513, 562, 7572, 766, 543, 4061, 798, 711, 1332, 4620, 684, 5362, 585, 713, 2601, 269, 6601, 539, 619, 616, 2324, 593, 1007, 10316, 8677, 602, 786, 711, 723, 713, 834, 2889, 12378, 2668, 1809, 952, 713, 568, 8197, 513, 2067, 1184, 547, 20758, 540, 7786, 267, 519, 1007, 29528, 949, 1267, 538, 811, 513, 811, 20202, 1966, 563, 2026, 585, 17494, 910, 952, 596, 616, 2348, 3762, 602, 616, 13881, 267, 621, 1223, 581, 5229, 11988, 267, 799, 568, 513, 21956, 541, 540, 513, 26615, 543, 645, 339, 267, 645, 26808, 555, 1005, 16772, 529, 568, 2500, 593, 9013, 30746, 563, 8138, 2466, 2659, 21909, 542, 454, 8448, 5999, 769, 901, 13445, 454, 268, 594, 723, 1454, 642, 4532, 320, 5634, 630, 323, 17768, 829, 12685, 30257, 264, 12630, 827, 476, 736, 1296, 3516, 607, 2666, 3382, 538, 1250, 13452, 269, 2368, 568, 538, 2407, 3141, 267, 930, 568, 538, 851, 3141, 270, 4820, 12094, 269, 2368, 1507, 2127, 540, 519, 642, 4532, 320, 630, 274, 268, 275, 3952, 538, 8006, 264, 538, 1896, 4025, 538, 519, 13452, 723, 13175, 519, 1034, 2487, 1079, 25951, 3168, 5835, 9706, 1446, 3039, 267, 711, 2620, 3039, 899, 519, 1964, 540, 519, 10651, 269, 26681, 723, 789, 2095, 1229, 269, 589, 7008, 540, 519, 1507, 5835, 9706, 1446, 3039, 2127, 552, 6094, 2740, 267, 543, 930, 540, 519, 2371, 5747, 269, 634, 15532, 538, 519, 3762, 540, 519, 14432, 2371, 616, 3039, 267, 855, 519, 3762, 616, 5835, 9706, 1446, 3039, 269, 1358, 723, 7283, 3976, 782, 4832, 269, 1358, 1810, 1405, 2490, 6960, 543, 3819, 543, 5884, 269, 594, 723, 5701, 609, 13226, 543, 2879, 841, 536, 7159, 267, 855, 9444, 814, 1185, 1022, 1198, 593, 519, 14432, 3168, 2371, 269, 3657, 891, 2371, 28119, 538, 930, 8770, 286, 13245, 2371, 594, 12630, 538, 519, 11953, 2127, 1185, 513, 2182, 942, 9591, 855, 1705, 5555, 543, 723, 711, 533, 4705, 269, 1548, 1058, 594, 798, 286, 594, 1810, 1405, 1616, 519, 1966, 547, 3262, 269, 634, 829, 12685, 30257, 814, 3773, 513, 1390, 9403, 547, 519, 13452, 563, 268, 594, 723, 4190, 3984, 320, 543, 535, 1716, 2371, 3395, 3544, 269, 1215, 798, 594, 2149, 873, 865, 789, 786, 7639, 519, 5162, 286, 1684, 594, 991, 547, 2007, 873, 909, 543, 3142, 873, 3330, 888, 268, 1284, 1131, 899, 547, 917, 952, 22684, 30159, 23420, 1131, 960, 4805, 538, 938, 1394, 13452, 610, 2436, 649, 1058, 3575, 621, 609, 1945, 3116, 269, 1284, 616, 3168, 585, 513, 1970, 1216, 267, 1970, 544, 12976, 4908, 1587, 602, 786, 960, 1134, 609, 5243, 945, 2661, 3330, 855, 798, 2196, 2182, 543, 1404, 593, 621, 269, 1284, 849, 899, 519, 14947, 1863, 4183, 540, 30159, 23420, 607, 835, 540, 938, 5243, 814, 11959, 543, 1750, 9749, 693, 1200, 3952, 1310, 1373, 3544, 269, 1284, 4867, 723, 6140, 645, 1069, 19085, 6371, 543, 616, 538, 519, 1184, 540, 11318, 621, 1055, 269, 1284, 2661, 538, 14208, 6016, 543, 938, 13452, 568, 5111, 476, 272, 270, 273, 23505, 609, 513, 1906, 1762, 4054, 2059, 519, 10665, 630, 6518, 540, 1576, 786, 1205, 8273, 1040, 634, 4054, 616, 25109, 11241, 267, 29158, 6229, 338, 267, 4414, 744, 6545, 267, 570, 592, 760, 19029, 543, 22341, 623, 1149, 269, 21909, 687, 585, 30012, 649, 723, 4862, 616, 2701, 788, 781, 674, 525, 26443, 543, 645, 7578, 9791, 24124, 269, 4746, 267, 568, 972, 513, 1747, 538, 18096, 1141, 649, 666, 4444, 891, 21823, 865, 649, 1810, 1405, 723, 547, 2628, 513, 1804, 3902, 585, 11288, 888, 268, 594, 723, 930, 31480, 594, 11751, 689, 519, 21543, 538, 513, 1507, 8708, 827, 476, 274, 4374, 3516, 269, 594, 1098, 680, 5896, 873, 547, 513, 3677, 8708, 269, 594, 1847, 873, 538, 519, 25880, 693, 3781, 543, 1394, 856, 547, 519, 5397, 3118, 1282, 519, 1554, 269, 634, 3762, 543, 11710, 616, 7432, 1769, 3039, 543, 723, 3819, 3043, 4025, 593, 873, 269, 3657, 789, 3478, 3141, 9470, 4765, 267, 993, 594, 14450, 873, 1932, 1454, 267, 711, 2614, 13226, 888, 268, 6733, 338, 899, 1250, 1494, 1540, 16603, 2371, 723, 674, 639, 10740, 654, 2830, 543, 786, 4166, 5884, 269, 476, 272, 264, 12179, 3364, 594, 666, 798, 547, 4688, 519, 2371, 543, 3037, 286, 476, 273, 264, 4692, 594, 3548, 519, 9942, 657, 888, 268, 3733, 11945, 3529, 568, 4358, 547, 19806, 558, 269, 594, 2648, 519, 13212, 855, 789, 2141, 1205, 702, 3240, 269, 1879, 568, 519, 1655, 942, 547, 10936, 873, 543, 609, 1018, 888, 268, 1879, 798, 594, 10936, 1250, 22269, 3529, 547, 2061, 17494, 888, 268, 594, 723, 513, 2699, 2584, 2088, 602, 338, 3762, 267, 538, 851, 540, 519, 17382, 267, 8604, 899, 789, 941, 26151, 269, 1772, 621, 513, 2068, 602, 891, 26965, 666, 1205, 286, 1403, 594, 2759, 621, 1394, 782, 519, 1259, 267, 786, 782, 540, 519, 17382, 2097, 856, 540, 621, 610, 1058, 594, 1205, 7759, 540, 519, 17382, 286, 634, 2584, 2088, 1985, 547, 621, 568, 1175, 5386, 269, 0, 30153, 5640 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1149, 621, 547, 513, 811, 1808, 2856, 269, 2701, 568, 12922, 1200, 9393, 786, 1491, 2476, 519, 1152, 4313, 1352, 814, 269, 13575, 267, 538, 3257, 513, 5758, 267, 596, 798, 711, 991, 547, 2322, 519, 1344, 4010, 538, 519, 1482, 1931, 607, 519, 3312, 1957, 269, 4173, 11755, 729, 12943, 267, 543, 950, 1352, 1336, 856, 1352, 5612, 1185, 513, 14603, 2295, 4323, 563, 763, 7664, 786, 2491, 519, 2495, 540, 519, 960, 267, 4061, 8506, 707, 2953, 1620, 540, 621, 269, 594, 6999, 594, 1131, 4312, 2938, 891, 4930, 693, 519, 4098, 540, 1250, 2296, 1362, 256, 769, 713, 9137, 281, 589, 2565, 2079, 12116, 606, 2376, 610, 824, 960, 547, 3313, 875, 2500, 519, 4062, 568, 693, 1818, 606, 4661, 610, 1448, 269, 1452, 2994, 585, 9363, 5059, 543, 20808, 1344, 786, 948, 596, 2697, 1808, 3877, 538, 519, 1257, 602, 786, 4196, 607, 2963, 585, 707, 1292, 4661, 269, 1677, 1451, 875, 547, 3666, 2318, 543, 2942, 8292, 538, 707, 2565, 2079, 267, 1832, 2542, 256, 2552, 9009, 547, 4569, 32499, 568, 1200, 9393, 267, 631, 269, 634, 9452, 543, 4706, 27752, 281, 1323, 4985, 547, 10374, 11470, 269, 1215, 547, 2328, 513, 3501, 1557, 286, 634, 20451, 666, 581, 2938, 538, 519, 11207, 30137, 4606, 540, 519, 16502, 543, 2486, 563, 763, 4720, 540, 519, 3929, 2470, 540, 11427, 269, 1772, 621, 865, 21354, 2944, 602, 621, 2965, 3587, 16168, 547, 4585, 286, 8298, 1227, 267, 519, 1560, 568, 519, 1292, 851, 540, 606, 2079, 1557, 269, 4340, 547, 4077, 1562, 267, 513, 10584, 609, 3908, 9631, 23036, 7220, 568, 2111, 547, 917, 1018, 568, 2469, 593, 538, 519, 2247, 540, 513, 2582, 1915, 267, 855, 711, 723, 513, 2407, 1620, 540, 267, 610, 23297, 711, 547, 7866, 547, 519, 3988, 267, 519, 8186, 540, 782, 519, 3197, 4077, 1562, 476, 1911, 280, 269, 1703, 616, 865, 1082, 1919, 602, 666, 979, 4636, 538, 1603, 606, 10763, 1957, 602, 519, 1383, 540, 606, 1557, 666, 581, 519, 1152, 1259, 547, 2057, 1022, 9073, 543, 1459, 513, 1957, 602, 786, 1205, 596, 519, 5207, 3446, 269, 769, 519, 1576, 540, 1603, 267, 1053, 711, 1152, 3986, 741, 1603, 1983, 855, 849, 3489, 1082, 824, 1983, 1519, 2565, 2542, 267, 2565, 3206, 267, 543, 7421, 269, 1937, 560, 540, 782, 267, 8751, 2636, 519, 3003, 4884, 547, 3494, 602, 646, 543, 1010, 2828, 723, 546, 27547, 269, 634, 1554, 540, 519, 3440, 9863, 547, 581, 3388, 4569, 32499, 16545, 267, 855, 621, 782, 7475, 950, 1352, 19380, 519, 8405, 331, 864, 563, 16485, 3054, 267, 1018, 6249, 610, 1292, 2856, 1705, 519, 2278, 1616, 519, 5467, 547, 1174, 1310, 646, 610, 1352, 1185, 8737, 2542, 286, 14674, 519, 7099, 540, 513, 5339, 960, 269, 24153, 281, 1411, 666, 2328, 713, 3296, 676, 18505, 2590, 945, 519, 5497, 5467, 568, 267, 607, 1134, 607, 3168, 693, 519, 1257, 689, 519, 21169, 540, 824, 12204, 540, 3988, 269, 1215, 1281, 9410, 3035, 713, 267, 538, 6476, 547, 7083, 540, 519, 681, 902, 286, 1403, 596, 616, 1869, 15819, 519, 3972, 10290, 1465, 540, 713, 2707, 267, 3444, 2638, 930, 540, 519, 1344, 3177, 1996, 513, 22973, 2707, 269, 898, 568, 2182, 547, 8930, 8751, 27517, 9807, 1524, 25432, 1317, 646, 6411, 538, 2081, 602, 10413, 1866, 267, 855, 950, 646, 30877, 519, 4539, 540, 1010, 3527, 646, 568, 1419, 26845, 995, 269, 2991, 8751, 543, 23894, 344, 5176, 5747, 538, 513, 13946, 267, 8751, 1869, 6770, 670, 3089, 1394, 547, 602, 1482, 13946, 547, 1265, 4154, 269, 5272, 5037, 11129, 547, 723, 513, 1888, 4845, 519, 1101, 4845, 540, 519, 5037, 602, 19528, 835, 540, 519, 3584, 5532, 547, 707, 5098, 267, 5916, 609, 930, 14751, 566, 827, 875, 519, 1888, 786, 1489, 519, 1292, 2856, 563, 8196, 513, 7008, 540, 5220, 547, 14969, 593, 1018, 568, 2500, 543, 513, 7008, 547, 1397, 1018, 568, 13546, 977, 1947, 2944, 269, 21302, 1946, 891, 2982, 616, 4277, 547, 13588, 543, 875, 891, 2982, 723, 838, 1177, 2740, 513, 1007, 1719, 538, 5986, 267, 7718, 908, 25394, 543, 824, 3029, 540, 1426, 7041, 3330, 519, 1753, 269, 25334, 4601, 519, 4259, 1223, 1256, 2995, 519, 1650, 952, 972, 941, 1100, 3197, 269, 1635, 2921, 513, 2736, 1310, 596, 723, 8737, 26004, 707, 1957, 267, 596, 786, 2285, 707, 2634, 513, 1964, 269, 1411, 1522, 849, 1616, 547, 1413, 693, 930, 540, 519, 7044, 593, 13334, 1141, 15602, 1004, 4766, 741, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16694, 14327, 267, 855, 596, 991, 547, 1683, 2407, 8313, 1344, 630, 663, 2985, 2338, 264, 585, 1312, 2959, 281, 476, 272, 269, 595, 269, 8176, 267, 589, 3778, 540, 674, 6064, 543, 31522, 630, 6124, 3840, 281, 623, 6573, 23549, 267, 476, 1960, 275, 1070, 476, 21327, 267, 20926, 538, 590, 269, 5839, 517, 773, 267, 28042, 6154, 6545, 630, 2419, 8522, 281, 28697, 4964, 267, 476, 1001, 274, 1070, 476, 4097, 269, 1733, 31295, 1062, 596, 946, 267, 1592, 519, 6281, 2707, 630, 324, 3052, 1421, 538, 519, 1806, 1657, 267, 5839, 517, 773, 264, 538, 519, 4704, 1592, 11486, 9560, 2762, 269, 18520, 13022, 725, 538, 17090, 17090, 3096, 17723, 14214, 12953, 30755, 257, 336, 11575, 269, 538, 12728, 14214, 12953, 630, 26211, 585, 17723, 14214, 12953, 30755, 257, 638, 6838, 538, 12728, 14214, 12953, 3738, 547, 5815, 513, 6281, 11239, 267, 971, 607, 538, 519, 1739, 281, 8176, 11339, 602, 4425, 1824, 344, 19811, 1131, 17723, 14214, 12953, 30755, 257, 1584, 18369, 538, 707, 3068, 12728, 14214, 12953, 630, 336, 11575, 269, 538, 5839, 517, 773, 476, 5379, 1040, 1306, 609, 519, 824, 1949, 1934, 267, 596, 1058, 1592, 519, 6281, 2707, 630, 328, 4318, 1421, 519, 1257, 596, 12728, 14214, 24149, 10634, 557, 1044, 2111, 547, 1569, 264, 593, 519, 17723, 14214, 12953, 30755, 257, 12728, 14214, 12953, 2985, 563, 31388, 267, 5988, 476, 1704, 267, 476, 1708, 271, 454, 5591, 601, 645, 3420, 543, 8751, 717, 7342, 910, 4828, 7151, 4340, 547, 645, 3420, 267, 519, 7869, 540, 17912, 6657, 568, 693, 1169, 1448, 6508, 568, 1759, 593, 519, 8226, 540, 4670, 607, 1945, 602, 10953, 711, 998, 519, 10148, 543, 14908, 540, 606, 2872, 267, 855, 2864, 267, 621, 24865, 593, 519, 11685, 547, 873, 269, 645, 3420, 267, 538, 782, 1010, 960, 267, 814, 8604, 547, 4142, 6510, 5128, 883, 28196, 1456, 519, 3334, 540, 4670, 3029, 610, 6163, 269, 645, 3420, 781, 8226, 593, 4670, 13156, 543, 4670, 6194, 616, 1312, 607, 2694, 540, 519, 1482, 17271, 1184, 269, 1261, 556, 10140, 629, 15935, 519, 8929, 1689, 1478, 607, 519, 5748, 540, 6101, 13994, 1637, 538, 519, 21576, 269, 645, 3420, 781, 1391, 3366, 1864, 883, 12423, 1018, 646, 9228, 607, 513, 17723, 14214, 12953, 30755, 257, 335, 25033, 21576, 12728, 14214, 12953, 799, 267, 538, 1010, 1448, 540, 2070, 267, 568, 1863, 540, 15061, 19237, 269, 3571, 7869, 540, 17912, 540, 2259, 3788, 547, 581, 835, 540, 519, 1292, 2798, 538, 519, 1353, 540, 30852, 538, 519, 5375, 4670, 269, 769, 1010, 1433, 267, 645, 3420, 8214, 1194, 1585, 2035, 971, 607, 519, 6024, 543, 19944, 6681, 3029, 540, 5969, 607, 1134, 607, 2417, 14236, 519, 1585, 3096, 540, 1055, 1606, 10547, 2230, 627, 476, 747, 616, 3989, 543, 11567, 14916, 269, 11790, 799, 646, 8268, 538, 519, 2063, 5722, 11271, 540, 1010, 1433, 3769, 2571, 1145, 543, 8325, 1145, 540, 1445, 267, 8654, 24716, 267, 3001, 543, 19335, 2592, 267, 1279, 543, 2110, 9696, 267, 7293, 3096, 540, 3280, 267, 3252, 540, 4960, 607, 1134, 607, 606, 4277, 7121, 799, 646, 11280, 607, 519, 17723, 14214, 12953, 30755, 257, 560, 23461, 540, 14699, 269, 12728, 14214, 12953, 769, 717, 7342, 781, 1448, 6361, 268, 1613, 267, 519, 2489, 1745, 540, 2239, 8874, 5795, 5304, 519, 2631, 540, 1373, 606, 7164, 4715, 1807, 540, 519, 4670, 267, 3622, 8384, 269, 26968, 532, 3197, 540, 1142, 4670, 0, 21080, 13871, 2506, 3827, 689, 13961, 270, 8722, 31333, 13870, 22219, 29791, 267, 1839, 4239, 476, 1001, 277, 634, 2359, 540, 23197, 5434, 689, 13339, 2504, 568, 267, 593, 519, 3903, 540, 3327, 2326, 267, 799, 538, 2490, 1860, 23435, 294, 5434, 563, 23530, 6052, 27355, 1405, 11408, 607, 5682, 607, 1411, 6056, 910, 20959, 25400, 267, 1724, 8734, 476, 1001, 275, 12650, 1005, 13339, 689, 13339, 25543, 18608, 728, 3340, 1447, 1648, 982, 547, 1832, 22425, 923, 3039, 1281, 711, 1439, 609, 519, 2504, 540, 30713, 559, 6625, 269, 519, 1898, 3859, 16052, 6189, 602, 7472, 519, 25675, 1198, 563, 13349, 8745, 281, 590, 6579, 2975, 2177, 570, 4953, 6938, 14176, 11403, 22432, 22743, 313, 19181, 910, 27359, 10993, 267, 22068, 6625, 570, 25523, 5139, 20183, 666, 1860, 596, 950, 3826, 1117, 538, 269, 2504, 540, 2549, 6973, 748, 28541, 269, 634, 1739, 5312, 630, 14075, 3856, 264, 1072, 2360, 666, 2049, 693, 563, 22068, 3821, 9995, 14086, 543, 2657, 910, 661, 295, 281, 16506, 4972, 540, 2657, 267, 290, 31051, 710, 8125, 3821, 538, 5794, 1299, 4826, 267, 543, 2657, 12186, 269, 21958, 5070, 8666, 269, 24083, 718, 710, 21958, 568, 513, 6219, 540, 6161, 585, 1480, 1072, 269, 28545, 21092, 21958, 5536, 2676, 305, 732, 3618, 2609, 5749, 1405, 519, 5728, 14049, 3624, 14659, 789, 616, 2073, 2537, 2904, 476, 1001, 280, 2334, 1797, 789, 2811, 711, 607, 1455, 607, 5135, 267, 13339, 267, 543, 4401, 267, 799, 519, 2462, 4161, 568, 7998, 711, 5599, 282, 14291, 519, 4686, 1274, 2195, 689, 543, 1336, 602, 5103, 3624, 781, 15752, 267, 922, 7333, 2965, 1185, 2370, 1198, 563, 25842, 540, 21958, 5599, 593, 1604, 910, 14288, 4260, 11594, 267, 18800, 269, 8177, 540, 21958, 5599, 593, 1604, 14086, 2534, 11851, 338, 513, 1279, 9434, 1764, 593, 5251, 267, 31763, 345, 610, 13339, 8166, 630, 31333, 302, 273, 264, 568, 835, 540, 519, 1034, 563, 763, 15474, 543, 20134, 7025, 28620, 540, 9891, 7754, 1564, 2073, 300, 1456, 267, 5663, 543, 6283, 782, 2154, 8101, 5666, 1648, 269, 11906, 338, 1107, 1677, 3132, 3859, 17263, 13339, 267, 10859, 8410, 2265, 528, 4393, 454, 22068, 6625, 281, 21964, 267, 17121, 12186, 267, 29568, 267, 667, 657, 720, 267, 543, 2782, 940, 267, 9596, 811, 827, 28541, 3096, 267, 7145, 267, 2009, 2427, 2360, 267, 4205, 267, 18262, 267, 3593, 16863, 543, 2472, 602, 2270, 28541, 563, 763, 8299, 571, 6261, 675, 267, 8111, 4149, 324, 4038, 9995, 2334, 24439, 2659, 25439, 910, 654, 1600, 267, 278, 4119, 476, 1001, 279, 901, 16600, 587, 495, 601, 924, 16005, 540, 13339, 8166, 5536, 4249, 513, 1883, 1909, 538, 5663, 519, 13339, 1031, 32520, 899, 891, 1164, 17263, 21958, 5439, 24776, 2282, 23770, 267, 3345, 10491, 267, 616, 519, 1809, 922, 1764, 568, 1799, 29342, 9092, 563, 1432, 1772, 28541, 17214, 2986, 29845, 1103, 621, 781, 1614, 7123, 19383, 267, 13339, 568, 1500, 909, 540, 476, 1691, 22571, 267, 476, 1691, 547, 476, 1626, 25268, 267, 543, 476, 1691, 9211, 269, 1703, 616, 476, 736, 824, 24745, 540, 13339, 602, 4183, 9170, 689, 476, 279, 547, 476, 1789, 25268, 269, 1717, 267, 782, 855, 1079, 540, 891, 9178, 538, 513, 2339, 540, 7643, 610, 1984, 1047, 6948, 563, 1432, 1772, 8125, 545, 821, 17214, 2986, 29845, 22068, 545, 821, 568, 1500, 540, 513, 5832, 540, 20367, 13339, 543, 5135, 8444, 609, 1079, 824, 8444, 610, 7135, 27433, 547, 1142, 13339, 11046, 269, 4706, 2497, 568, 10169, 2147, 547, 513, 8652, 21666, 5832, 267, 538, 851, 1317, 540, 13339, 1373, 851, 540, 519, 1482, 13350, 1895, 269, 1717, 267, 7554, 454, 22068, 6625, 910, 27100, 1344, 267, 3601, 543, 3096, 11270, 545, 7305, 267, 292, 2211, 28541, 630, 31333, 1070, 6828, 476, 1691, 267, 26994, 7089, 476, 1691, 267, 533, 1532, 6674, 267, 7136, 476, 2764, 269, 5400, 276, 269, 17796, 267, 5013, 267, 3096, 267, 20317, 630, 306, 6020, 1070, 27143, 267, 620, 23755, 6698, 267, 7044, 543, 2592, 563, 306, 663, 14086, 543, 13255, 281, 15783, 2657, 12186, 910, 715, 5425, 299, 267, 306, 663, 14086, 543, 13255, 281, 15783, 2657, 12186, 269, 7338, 631, 269, 22642, 267, 12854, 267, 16275, 295, 269, 21133, 7905, 269, 2160, 540, 19578, 269, 19578, 4975, 267, 29722, 269, 29268, 7025, 454, 10890, 12186, 540, 744, 3164, 343, 17068, 547, 8680, 10928, 8125, 3821, 28545, 910, 15509, 267, 10890, 12186, 540, 269, 744, 3164, 343, 17068, 547, 269, 8680, 10928, 8125, 3821, 28545, 269, 8125, 3821, 28545, 6513, 22544, 269, 4432, 14150, 267, 21600, 269, 5181, 476, 2764, 267, 476, 1001, 271, 269, 20289, 2051, 6839, 269, 8433, 540, 17719, 8881, 454, 25842, 540, 21958, 5599, 593, 1604, 910, 3194, 294, 622, 267, 631, 880, 571, 12891, 583, 9655, 543, 1866, 3370, 8177, 540, 21958, 5599, 593, 1604, 543, 26340, 748, 13339, 8166, 20543, 593, 519, 1480, 589, 276, 5392, 1591, 1899, 912, 20245, 28620, 540, 11633, 8125, 3821, 9995, 910, 16855, 2073, 275, 2904, 476, 1001, 276, 10251, 267, 1346, 9870, 12194, 540, 519, 2360, 540, 535, 2350, 5070, 5599, 723, 3144, 547, 3277, 547, 5070, 602, 814, 519, 3114, 5888, 540, 13339, 563, 310, 699, 519, 2326, 538, 707, 21236, 24776, 676, 1453, 538, 2073, 2537, 7325, 476, 1001, 278, 31762, 549, 22656, 7948, 1405, 581, 20991, 689, 28541, 9503, 269, 1677, 1198, 1483, 1689, 267, 3549, 1590, 4142, 6510, 3978, 2200, 543, 3209, 454, 22068, 6625, 910, 634, 7025, 17402, 7027, 267, 763, 2101, 2825, 5222, 2404, 609, 13339, 17589, 689, 922, 5599, 269, 12539, 24785, 568, 513, 676, 28237, 540, 519, 2596, 1184, 17929, 13339, 568, 454, 305, 1961, 540, 28541, 538, 14600, 12720, 540, 24581, 19045, 13262, 525, 538, 30495, 12518, 267, 2641, 3057, 476, 1001, 280, 634, 6225, 2360, 540, 13961, 616, 3226, 10423, 538, 2371, 2111, 547, 547, 2569, 5230, 4496, 17219, 538, 6694, 2504, 267, 13339, 630, 31333, 264, 568, 454, 293, 2350, 9995, 2657, 543, 7025, 28620, 910, 3047, 4103, 267, 273, 2395, 3516, 674, 2350, 5070, 5599, 5932, 1713, 2011, 5533, 689, 519, 7829, 267, 5599, 267, 543, 4393, 540, 519, 5070, 269, 634, 1271, 2959, 540, 2011, 5434, 454, 1692, 4516, 781, 14086, 30359, 28620, 519, 19004, 910, 10439, 13317, 626, 267, 1724, 4119, 476, 1001, 279, 1323, 25644, 547, 4516, 781, 5318, 5599, 5823, 267, 1519, 922, 1764, 593, 519, 4346, 543, 519, 10124, 602, 786, 1305, 519, 2518, 3044, 585, 5599, 538, 454, 22068, 6625, 910, 9504, 267, 22068, 6625, 568, 513, 3114, 3693, 609, 519, 3090, 13961, 543, 10570, 1297, 476, 1691, 269, 898, 568, 513, 2182, 543, 28221, 769, 476, 3707, 271, 267, 21651, 7937, 331, 4362, 519, 533, 5991, 22882, 543, 25675, 2360, 538, 13339, 269, 4595, 1287, 267, 519, 2527, 1790, 3174, 540, 13339, 631, 5308, 293, 4953, 338, 543, 631, 5308, 7471, 5547, 454, 22068, 6625, 281, 15783, 547, 32754, 6034, 543, 1473, 1311, 12186, 593, 7233, 2073, 1724, 9947, 476, 1001, 277, 634, 6225, 2360, 540, 13339, 3498, 593, 2030, 2208, 543, 7693, 13339, 3498, 814, 1831, 513, 6296, 2259, 538, 7573, 2504, 538, 454, 8489, 781, 634, 15053, 1107, 3245, 10049, 6987, 3555, 286, 1107, 22997, 2073, 20112, 15183, 616, 519, 3056, 2707, 540, 16035, 2011, 5533, 538, 519, 772, 2529, 269, 18366, 6886, 281, 634, 5599, 540, 8407, 585, 634, 5599, 540, 2326, 585, 5907, 2472, 31251, 13339, 267, 11956, 267, 7601, 267, 1291, 267, 543, 7025, 5222, 281, 563, 8505, 16438, 1511, 14001, 12536, 585, 519, 2681, 574, 13011, 8990, 540, 2073, 272, 9947, 476, 1960, 272, 8125, 6510, 25115, 28620, 593, 519, 772, 696, 820, 543, 19554, 540, 1488, 11420, 545, 543, 7233, 10395, 1441, 2360, 540, 3037, 13339, 543, 10980, 2566, 593, 3984, 2030, 454, 8489, 786, 519, 2326, 585, 938, 2973, 1648, 2104, 2097, 689, 2073, 1428, 4924, 476, 1001, 280, 769, 930, 2665, 630, 3697, 13339, 585, 3859, 8440, 1070, 2362, 3747, 568, 12691, 547, 1797, 811, 5599, 630, 663, 609, 621, 267, 2799, 2825, 5222, 13211, 22068, 3821, 10803, 543, 6176, 910, 2475, 14899, 267, 834, 32483, 345, 5070, 2437, 2882, 521, 1343, 543, 1178, 12069, 609, 1164, 13339, 8166, 630, 31333, 302, 273, 264, 1543, 269, 769, 3592, 782, 2665, 267, 21958, 5599, 3096, 1930, 8486, 610, 546, 1042, 3101, 5599, 2409, 616, 3742, 267, 5070, 543, 18574, 5599, 2356, 814, 3908, 2825, 1764, 563, 22068, 545, 821, 1341, 4658, 1299, 14136, 1107, 661, 4596, 331, 4875, 7901, 267, 3674, 30736, 10930, 585, 1004, 543, 519, 2825, 982, 5068, 286, 1452, 616, 930, 540, 519, 1883, 2055, 661, 4596, 331, 4875, 7901, 2808, 950, 8939, 30736, 585, 519, 454, 22068, 3821, 30200, 4065, 29663, 267, 9827, 1572, 21958, 5070, 610, 21247, 5070, 267, 21958, 568, 13339, 8166, 630, 31333, 302, 273, 1040, 4238, 616, 3742, 267, 5070, 543, 18574, 5599, 2356, 814, 3908, 2825, 1764, 563, 9202, 281, 1018, 1281, 513, 476, 1911, 9522, 829, 5662, 10265, 8302, 1942, 454, 268, 1018, 616, 519, 676, 335, 20094, 540, 6721 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 299, 18676, 639, 590, 1120, 3780, 9697, 559, 2088, 267, 1634, 538, 2296, 607, 9697, 559, 710, 267, 729, 513, 4936, 27737, 540, 519, 476, 272, 560, 2540, 7460, 1655, 1634, 585, 519, 2034, 9697, 559, 514, 4115, 24242, 267, 606, 3801, 547, 24057, 992, 519, 4936, 6243, 543, 267, 538, 1880, 267, 519, 1379, 540, 519, 18211, 7095, 14130, 269, 1261, 568, 1634, 585, 1896, 4203, 8636, 1023, 538, 5480, 267, 1519, 835, 585, 519, 5279, 540, 13277, 6670, 609, 513, 966, 652, 531, 7910, 269, 9697, 559, 710, 729, 4535, 538, 476, 10482, 7460, 547, 835, 540, 519, 9510, 1273, 878, 1014, 3885, 538, 7507, 267, 575, 839, 590, 1120, 807, 267, 1010, 3237, 941, 13852, 1329, 320, 269, 4014, 1010, 1920, 729, 540, 931, 983, 6561, 267, 789, 941, 19394, 538, 1312, 1514, 543, 2883, 6830, 17480, 269, 5164, 326, 559, 5795, 519, 1920, 606, 22660, 267, 945, 1185, 2097, 609, 589, 2940, 553, 547, 7977, 1317, 789, 941, 16113, 3504, 282, 519, 2063, 590, 1120, 3780, 547, 581, 931, 592, 1185, 1044, 717, 333, 30906, 590, 1120, 3780, 674, 16582, 553, 30532, 334, 538, 476, 23884, 7460, 269, 3571, 1390, 3766, 8681, 15289, 729, 29849, 590, 1120, 3780, 282, 891, 2188, 1131, 3337, 9697, 559, 710, 781, 27606, 543, 3853, 607, 646, 1131, 7287, 1657, 782, 3116, 547, 11177, 519, 2797, 6561, 540, 1010, 1920, 2059, 609, 922, 2883, 1379, 269, 1323, 2111, 19524, 267, 9697, 559, 710, 1185, 513, 13747, 4108, 4876, 563, 3891, 6039, 538, 519, 4317, 2782, 609, 717, 333, 30906, 25048, 701, 3780, 13804, 639, 543, 595, 545, 3266, 267, 896, 717, 333, 30906, 25048, 701, 3780, 18135, 2692, 538, 476, 8660, 7460, 269, 4438, 519, 12512, 540, 717, 2967, 639, 631, 23581, 267, 13198, 857, 639, 12397, 601, 3780, 28037, 3534, 543, 717, 333, 30906, 14466, 597, 3780, 2961, 2692, 267, 9697, 559, 710, 5129, 1100, 2101, 1909, 267, 855, 646, 7283, 20833, 5150, 267, 9310, 547, 519, 562, 19991, 540, 717, 2967, 639, 631, 23581, 267, 646, 6462, 13198, 857, 639, 12397, 601, 3780, 590, 1638, 320, 538, 519, 3540, 2112, 540, 476, 10019, 1700, 10037, 7460, 269, 4340, 547, 25197, 725, 1500, 676, 595, 545, 3266, 267, 1282, 590, 1638, 320, 781, 605, 2675, 3628, 9697, 559, 710, 5280, 2372, 842, 639, 700, 583, 520, 3780, 9697, 15252, 1285, 3188, 5128, 2390, 519, 21991, 12460, 945, 1185, 3361, 519, 2669, 540, 1010, 4651, 281, 9697, 559, 710, 781, 7015, 2987, 25237, 267, 29849, 631, 23581, 6182, 520, 22941, 639, 269, 9697, 559, 710, 544, 2727, 539, 543, 7166, 1010, 7015, 2987, 25237, 693, 519, 19772, 540, 9697, 15252, 1232, 777, 18469, 519, 1351, 335, 572, 269, 9697, 559, 710, 8399, 539, 547, 4163, 519, 2212, 998, 519, 10754, 540, 7507, 543, 20024, 621, 693, 590, 1638, 320, 781, 3952, 693, 519, 13527, 540, 21011, 269, 9697, 559, 710, 729, 15034, 540, 15294, 1359, 1010, 1101, 7385, 543, 5067, 865, 602, 646, 1223, 19533, 519, 14547, 543, 4190, 589, 675, 20377, 744, 6135, 8759, 267, 8250, 540, 519, 931, 592, 540, 476, 10170, 7460, 267, 717, 333, 30906, 589, 18860, 573, 3780, 744, 6135, 525, 269, 769, 519, 2038, 476, 3583, 338, 7460, 646, 6039, 13383, 609, 6583, 2993, 639, 4419, 559, 3780, 966, 520, 807, 538, 595, 32281, 807, 563, 1103, 476, 10463, 7460, 267, 646, 729, 4547, 547, 4693, 585, 13277, 6670, 609, 513, 3854, 6760, 269, 634, 966, 652, 531, 267, 729, 513, 3368, 1606, 3563, 540, 595, 545, 3266, 781, 7385, 267, 570, 5166, 807, 269, 9697, 15252, 267, 676, 519, 9030, 6205, 540, 519, 19630, 919, 267, 1449, 1881, 538, 1010, 3870, 269, 9697, 559, 710, 543, 28529, 807, 941, 4203, 26860, 267, 646, 729, 9299, 564, 528, 538, 476, 6924, 7460, 267, 585, 519, 1739, 1079, 1296, 729, 519, 4412, 571, 564, 20187, 17294, 585, 4000, 269, 16270, 1010, 2132, 1753, 538, 476, 5780, 7460, 267, 646, 4843, 5128, 607, 513, 11134, 585, 519, 931, 983, 12836, 267, 855, 513, 15518, 566, 689, 4000, 13267, 547, 519, 14130, 267, 967, 1112, 532, 1864, 585, 28407, 267, 15286, 713, 607, 519, 1651, 3518, 550, 931, 592, 267, 13198, 857, 639, 5292, 13906, 3780, 570, 1638, 639, 267, 771, 9994, 539, 519, 6596, 2329, 267, 646, 729, 4547, 547, 4693, 538, 476, 4792, 7460, 267, 1141, 646, 4607, 519, 1489, 540, 1082, 13747, 2367, 267, 1519, 1082, 931, 983, 338, 269, 2290, 540, 519, 931, 6160, 585, 476, 4792, 7460, 267, 13198, 857, 639, 2494, 2993, 639, 8776, 638, 9850, 267, 7152, 1010, 1489, 585, 9697, 559, 710, 269, 595, 545, 3266, 14719, 730, 21108, 9697, 559, 710, 538, 5480, 269, 9697, 559, 710, 729, 4203, 26860, 282, 519, 2278, 540, 519, 19410, 926, 565, 636, 8891, 819, 529, 595, 545, 3266, 781, 7015, 267, 2372, 842, 639, 595, 545, 3266, 267, 5267, 602, 9697, 559, 710, 729, 1152, 4203, 26860, 676, 519, 1249, 602, 834, 515, 2451, 519, 5480, 607, 4057, 607, 930, 540, 1010, 16488, 1185, 1044, 1354, 519, 4693, 2437, 31552, 602, 646, 536, 1026, 539, 1010, 16488, 563, 763, 1101, 9697, 559, 514, 4115, 24242, 729, 513, 4729, 547, 28958, 1379, 269, 16024, 2103, 2015, 621, 12691, 602, 9697, 559, 710, 1131, 723, 1044, 3238, 538, 519, 3689, 9697, 559, 514, 4115, 3117, 335, 16820, 610, 267, 602, 519, 24242, 11478, 693, 782, 269, 4438, 476, 5038, 7460, 267, 9697, 559, 710, 729, 7608, 607, 513, 11134, 538, 519, 931, 983, 9550, 585, 476, 8287, 7460, 267, 646, 10443, 7258, 717, 2967, 639, 16653, 3780, 5754, 1962, 5866, 269, 9697, 559, 710, 729, 17204, 676, 1312, 595, 545, 3266, 543, 16653, 3780, 5754, 1962, 5866, 538, 519, 931, 983, 9550, 1317, 519, 4936, 18211, 7100, 21787, 9697, 559, 710, 543, 1010, 2804, 1544, 282, 519, 19630, 919, 941, 1065, 6160, 539, 1317, 646, 15469, 519, 726, 697, 540, 519, 4683, 5418, 2125, 2059, 609, 1010, 2804, 3609, 540, 512, 5429, 2801, 18051, 2801, 267, 519, 8471, 23545, 566, 540, 22440, 269, 1261, 729, 4547, 547, 4693, 602, 1482, 1032, 267, 855, 713, 942, 621, 729, 585, 1010, 1909, 538, 519, 590, 1638, 534, 605, 27771, 687, 269, 2311, 519, 1202, 14571, 540, 595, 6737, 519, 8479, 518, 267, 844, 320, 652, 528, 267, 782, 2367, 945, 1185, 1527, 1243, 1282, 519, 605, 27771, 687, 941, 4547, 547, 4693, 269, 1280, 1010, 9525, 267, 9697, 559, 710, 729, 15034, 540, 11318, 1010, 5449, 7015, 2987, 25237, 29849, 631, 23581, 6182, 520, 22941, 639, 267, 8876, 713, 812, 779, 694, 30099, 2212, 998, 519, 10754, 540, 7507, 543, 2348, 590, 1638, 320, 1039, 1864, 547, 519, 605, 2675, 3628, 547, 1118, 621, 3656, 563, 8448, 31482, 10645, 269, 6736, 713, 267, 9697, 559, 710, 729, 4203, 26860, 1586, 267, 1498, 930, 1147, 332, 1047, 602, 621, 729, 998, 519, 3310, 540, 19332, 267, 945, 1095, 3660, 936, 519, 5480, 269, 9697, 559, 710, 8359, 547, 1796, 585, 519, 931, 6160, 1222, 1586, 538, 519, 1739, 1032, 269, 1717, 267, 676, 519, 942, 540, 519, 931, 983, 9550, 585, 476, 7830, 7460, 267, 9697, 559, 710, 1185, 4503, 1454, 540, 519, 2797, 1489, 646, 1185, 10150, 1282, 519, 3105, 1032, 781, 9550, 267, 646, 729, 17204, 676, 1079, 824, 10457, 267, 5463, 574, 639, 9947, 3780, 8125, 29104, 543, 13198, 857, 639, 13397, 514, 3780, 631, 675, 3534, 11493, 1010, 2797, 27606, 269, 634, 1152, 6967, 4960, 540, 1140, 8724, 519, 931, 6160, 1222, 1131, 581, 998, 24648, 527, 1493, 1797, 281, 24242, 610, 4838, 282, 519, 2034, 9697, 559, 514, 4115, 24242, 729, 513, 4729, 267, 25282, 676, 9697, 559, 710, 609, 519, 948, 540, 513, 1895, 540, 18211, 4531, 1846, 543, 771, 320, 26327, 18884, 267, 547, 24057, 992, 519, 4936, 6243, 538, 476, 8287, 7460, 269, 595, 545, 3266, 6534, 519, 4729, 267, 799, 7142, 9697, 559, 710, 547, 25176, 689, 7507, 282, 519, 5821, 540, 519, 24242, 538, 7507, 729, 513, 7372, 9514, 547, 9697, 559, 710, 269, 16270, 6217, 540, 519, 2669, 540, 6583, 2993, 639, 12397, 601, 3780, 30766, 15252, 2672, 571, 543, 519, 1866, 267, 1082, 2367, 9390, 539, 1010, 7952, 267, 4227, 519, 2450, 689, 827, 476, 1015, 267, 1822, 547, 513, 6071, 476, 274, 267, 1822, 563, 3891, 543, 1010, 2192, 25668, 5792, 7952, 3459, 547, 15292, 2509, 717, 4954, 543, 1287, 454, 300, 2117, 639, 570, 1638, 3780, 595, 545, 3266, 729, 513, 4936, 2829, 2006, 267, 610, 1807, 543, 14544, 267, 945, 6039, 607, 931, 592, 538, 519, 1032, 476, 8287, 7460, 269, 1261, 3357, 689, 513, 14547, 18513, 1920, 540, 519, 4936, 1226, 652, 6929, 1931, 267, 568, 2808, 835, 540, 7507, 781, 6574, 610, 2209, 543, 18340, 18935, 1235, 267, 1010, 3310, 593, 519, 5824, 1893, 729, 865, 10373, 602, 519, 7766, 1686, 540, 18340, 267, 711, 1152, 538, 5824, 855, 538, 3864, 4654, 909, 547, 519, 476, 866, 628, 2540, 267, 729, 1767, 547, 581, 2901, 513, 5114, 1996, 610, 513, 2132, 547, 1010, 2511, 269, 595, 545, 3266, 5189, 519, 14564, 547, 519, 8783, 3506, 540, 5259, 6138, 543, 2813, 513, 5824, 10952, 6863, 23243, 5128, 607, 513, 6037, 1807, 543, 14544, 269, 9282, 646, 729, 606, 12913, 610, 1807, 543, 3811, 15818, 267, 595, 545, 3266, 5156, 1010, 2797, 4876, 729, 1010, 1034, 1271, 9740, 267, 621, 729, 1282, 1010, 931, 6160, 1222, 602, 519, 2034, 9697, 559, 514, 4115, 24242, 13986, 547, 24057, 992, 519, 2229, 998, 606, 4323, 593, 519, 2749, 676, 3544, 4229, 267, 595, 545, 3266, 26793, 519, 27693, 676, 14805, 3320, 543, 7946, 6053, 22589, 2947, 931, 2869, 2209, 563, 7628, 519, 26093, 8545, 3368, 540, 519, 476, 272, 560, 2540, 7460, 6825, 676, 3540, 10617, 543, 519, 28983, 1222, 540, 717, 2967, 639, 25840, 19332, 267, 595, 545, 3266, 13084, 16845, 513, 2132, 547, 519, 2757, 14081, 534, 2229, 269, 11374, 25840, 19332, 781, 2669, 267, 595, 545, 3266, 2968, 606, 10546, 540, 4460, 4165, 3415, 538, 519, 1671, 5224, 1379, 6560, 267, 22215, 1864, 538, 513, 3126, 540, 18531, 267, 646, 729, 605, 30533, 539, 607, 606, 10546, 540, 519, 1533, 676, 519, 5822, 570, 8922, 341, 597, 622, 543, 13401, 676, 7980, 5665, 593, 741, 15773, 538, 476, 6246, 7460, 1310, 2348, 1044, 18448, 539, 1282, 606, 13986, 8184, 689, 519, 7969, 25345, 269, 3571, 694, 30099, 3946, 543, 2212, 941, 607, 513, 3803, 20947, 540, 4460, 4165, 3415, 267, 10268, 593, 634, 681, 739, 571, 269, 8891, 337, 1105, 781, 2699, 18752, 540, 595, 545, 3266, 781, 5022, 568, 20295, 585, 27510, 519, 476, 1691, 628, 10601, 11193, 538, 1857, 12602, 543, 8106, 4936, 2528, 269, 4340, 547, 14470, 14787, 570, 1228, 639, 345, 2098, 1408, 328, 385, 482, 24989, 267, 834, 1492, 11193, 729, 1657, 782, 1919, 513, 25954, 540, 595, 545, 3266, 267, 1152, 1310, 1864, 543, 998, 1864, 540, 519, 1964, 540, 18190, 25196, 1701, 634, 8445, 540, 595, 545, 3266, 781, 6392, 543, 31449, 3357, 1282, 519, 476, 1240, 628, 10601, 21654, 267, 1010, 1764, 593, 3056, 21654, 17024, 543, 2797, 28466, 971, 607, 3627, 28676, 267, 6424, 670, 2541, 543, 31611, 8738, 651, 729, 8101, 563, 14367, 1568, 7584, 1851, 519, 1034, 9565, 538, 3864, 2528, 267, 2221, 1869, 13822, 835, 540, 519, 1034, 1271, 4703, 540, 3119, 1570, 585, 519, 1603, 543, 14469, 540, 4936, 1686, 519, 2063, 2395, 540, 519, 4936, 6243, 269, 595, 545, 3266, 729, 4535, 538, 476, 11793, 7460, 538, 513, 14629, 4884, 476, 1911, 12919, 22703, 540, 7507, 267, 646, 20705, 547, 519, 5513, 639, 12397, 20782, 269, 3571, 4651, 22234, 1434, 4296, 538, 7507, 269, 1717, 267, 1373, 513, 10859, 2987, 20777, 267, 646, 6594, 14916, 547, 22771, 269, 4014, 2370, 568, 1634, 827, 595, 545, 3266, 781, 3993, 267, 4477, 16129, 267, 621, 729, 1455, 585, 519, 24726, 540, 1271, 4936, 4961, 547, 581, 3743, 585, 519, 2359, 540, 519, 7622, 269, 595, 545, 3266, 781, 7015, 2372, 842, 639, 5206, 538, 513, 4484, 269, 595, 545, 3266, 781, 26256, 1580, 267, 610, 2123, 21519, 267, 2501, 689, 519, 5824, 585, 524, 545, 518, 269, 1773, 583, 1105, 6941, 602, 519, 2012, 729, 2016, 547, 835, 540, 595, 545, 3266, 781, 11937, 945, 1185, 513, 1579, 1111, 538, 519, 9133, 540, 1010, 9224, 23401, 513, 7105, 701, 320, 269, 1717, 267, 621, 568, 811 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 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, 7170, 281, 4197, 661, 22029, 281, 32274, 6478, 17959, 692, 5970, 596, 2479, 11074, 547, 1589, 827, 1141, 1913, 2097, 689, 286, 4208, 798, 649, 2161, 834, 31435, 257, 950, 649, 2626, 519, 6049, 267, 855, 834, 6062, 257, 950, 649, 1294, 938, 2828, 538, 1268, 286, 9293, 616, 4241, 1317, 789, 666, 2995, 721, 2984, 827, 519, 2250, 543, 948, 721, 1174, 875, 4654, 723, 7960, 936, 942, 269, 901, 7936, 540, 1565, 568, 1572, 29721, 267, 799, 568, 519, 1353, 540, 2262, 8129, 543, 12583, 269, 2913, 781, 4685, 883, 713, 10578, 1158, 2439, 5331, 952, 2576, 19942, 596, 513, 8675, 689, 7366, 540, 1296, 3516, 269, 1411, 1522, 1265, 930, 5432, 1913, 267, 899, 834, 13906, 257, 610, 834, 5264, 2437, 855, 1082, 824, 2474, 1223, 1413, 9490, 610, 14845, 269, 3683, 5553, 267, 4654, 1689, 1813, 547, 9194, 267, 1514, 4205, 267, 2029, 7760, 267, 543, 3140, 2621, 269, 1635, 4974, 29721, 267, 649, 1451, 827, 891, 10593, 543, 5660, 875, 3638, 543, 3309, 1480, 2792, 814, 1831, 780, 2414, 9414, 267, 1577, 781, 1491, 513, 6251, 1413, 693, 519, 2262, 834, 1214, 17443, 1701, 898, 2501, 689, 1079, 5259, 5072, 281, 834, 1214, 21573, 2437, 799, 1797, 3020, 610, 9758, 267, 543, 29038, 8421, 807, 2437, 13288, 547, 519, 1353, 540, 1945, 269, 4475, 267, 8380, 873, 1927, 3947, 721, 519, 2856, 540, 3695, 519, 8076, 2470, 540, 1913, 1107, 741, 3020, 20297, 780, 3086, 267, 4605, 513, 2319, 540, 6131, 2043, 2324, 24091, 547, 1711, 513, 3102, 3391, 547, 1620, 519, 2296, 1893, 1732, 269, 2334, 781, 4010, 1018, 5949, 1394, 538, 476, 6977, 278, 950, 513, 1895, 540, 9543, 5443, 5640, 4646, 519, 5507, 5845, 1670, 5980, 609, 519, 3804, 540, 6721, 513, 17598, 2296, 8675, 269, 1452, 13009, 4565, 1794, 619, 7691, 972, 14201, 1405, 1022, 1434, 4704, 2835, 2139, 693, 519, 942, 267, 865, 789, 3576, 6927, 883, 741, 1378, 3946, 676, 6998, 4948, 11570, 899, 3610, 267, 5830, 267, 543, 1256, 1920, 2818, 547, 3406, 998, 25985, 540, 2025, 2835, 543, 6054, 547, 2445, 1806, 540, 875, 1913, 941, 1031, 2429, 1686, 780, 4131, 781, 2119, 606, 2534, 547, 3142, 713, 1523, 9800, 256, 7994, 1614, 1455, 1913, 1472, 707, 1753, 610, 4928, 267, 971, 607, 834, 24316, 2437, 834, 9188, 330, 2437, 543, 834, 5155, 4290, 1701, 3503, 1142, 2262, 593, 513, 4062, 540, 1957, 543, 2307, 513, 3659, 610, 1362, 22940, 547, 7058, 922, 5169, 269, 3973, 267, 1382, 519, 4890, 1650, 3297, 1346, 1913, 1210, 6325, 2959, 269, 9523, 707, 4681, 609, 707, 7649, 267, 7234, 1946, 6616, 827, 29721, 2337, 15052, 707, 4276, 547, 1893, 780, 2026, 596, 2263, 811, 827, 682, 13877, 2762, 630, 1492, 1148, 543, 2257, 540, 1818, 21594, 264, 543, 5490, 4514, 883, 29721, 267, 3314, 602, 1913, 1921, 721, 547, 1114, 4529, 267, 21971, 267, 543, 2833, 269, 3414, 1620, 741, 4720, 267, 649, 2744, 1007, 4030, 883, 519, 4190, 6988, 540, 1893, 6575, 543, 10459, 269, 8414, 12423, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 10303, 519, 10228, 2296, 9218, 729, 1759, 593, 1806, 540, 1483, 6165, 621, 7012, 1405, 1175, 513, 1686, 540, 519, 1893, 855, 513, 1686, 540, 1412, 12626, 262, 4555, 267, 1686, 543, 5030, 1995, 936, 519, 1576, 540, 519, 942, 602, 519, 1893, 1185, 1044, 538, 6228, 543, 2854, 1524, 1862, 513, 8748, 2686, 607, 1134, 607, 10409, 2594, 563, 27745, 596, 7291, 519, 1686, 267, 2504, 543, 1004, 3297, 1018, 2968, 519, 10228, 2296, 9218, 630, 302, 3633, 25145, 1103, 476, 6977, 280, 513, 1895, 540, 9543, 2006, 5640, 267, 2818, 540, 519, 5507, 5845, 1670, 5980, 630, 874, 559, 1670, 2495, 2048, 7758, 908, 547, 519, 1353, 540, 1893, 685, 1070, 3893, 1927, 543, 8815, 602, 1100, 25685, 21594, 540, 519, 2296, 1893, 941, 1287, 538, 6228, 269, 1924, 789, 4956, 789, 1131, 979, 827, 2870, 835, 269, 1358, 1185, 1100, 2200, 2933, 281, 789, 4300, 4705, 547, 519, 1857, 267, 2322, 856, 6978, 7410, 538, 14786, 543, 13746, 543, 4280, 2828, 543, 29872, 1734, 547, 6443, 538, 267, 1418, 2358, 782, 891, 1004, 547, 1224, 998, 9118, 9102, 5931, 540, 1169, 2186, 543, 6494, 538, 24185, 540, 875, 1913, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 292, 22029, 257, 607, 851, 540, 834, 299, 20315, 308, 17803, 8121, 4811, 1299, 20591, 5746, 12195, 2562, 2464, 1315, 22858, 545, 2762, 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, 5629, 2390, 513, 942, 267, 972, 729, 513, 2370, 8773, 3957, 7605, 29560, 945, 6068, 7900, 6575, 543, 8874, 269, 1261, 4941, 547, 1118, 1010, 1378, 7260, 855, 4769, 1405, 917, 1141, 547, 1376, 269, 1924, 267, 646, 4280, 1010, 3659, 267, 27385, 519, 5100, 1769, 15941, 267, 585, 948, 780, 306, 20632, 6045, 267, 834, 2414, 1118, 513, 7260, 267, 7605, 29560, 267, 596, 991, 547, 2995, 513, 1650, 3010, 30948, 781, 513, 1650, 8119, 7605, 29560, 4280, 780, 21202, 1650, 568, 950, 1945, 4523, 547, 2576, 2437, 27385, 14452, 269, 834, 12024, 950, 596, 12687, 909, 538, 519, 6640, 267, 602, 781, 519, 4098, 540, 707, 1554, 269, 3973, 596, 3548, 14254, 267, 1404, 609, 707, 9162, 267, 543, 979, 547, 5127, 693, 3781, 269, 2334, 781, 519, 1439, 540, 707, 1554, 3010, 21659, 29560, 2219, 585, 513, 4090, 269, 834, 3383, 267, 594, 991, 547, 1589, 540, 1018, 4523, 547, 1250, 3197, 538, 1250, 7260, 12482, 257, 8133, 267, 4010, 10590, 1767, 27385, 269, 834, 4517, 596, 849, 991, 547, 1397, 875, 789, 1745, 543, 1018, 789, 798, 269, 1411, 666, 798, 713, 998, 9117, 267, 799, 568, 5910, 2056, 547, 581, 2576, 3116, 610, 1945, 3116, 3010, 257, 3719, 875, 798, 594, 1205, 1434, 693, 9117, 8119, 9289, 7605, 29560, 780, 306, 20632, 20493, 269, 834, 2791, 666, 2259, 256, 3807, 899, 875, 596, 4121, 547, 3802, 543, 2911, 267, 596, 666, 1451, 547, 957, 676, 8026, 1169, 1554, 269, 1656, 972, 781, 513, 2027, 1259, 547, 2259, 1572, 1412, 23437, 756, 4733, 2259, 9538, 898, 1797, 4259, 1808, 3853, 267, 2519, 267, 3843, 2182, 1919, 267, 543, 6029, 1866, 1018, 596, 1705, 3010, 257, 4692, 596, 2285, 803, 606, 1383, 8119, 4280, 7605, 29560, 780, 28494, 675, 10590, 1767, 27385, 269, 834, 2252, 596, 1616, 547, 2259, 32127, 267, 1101, 1305, 513, 3804, 547, 12837, 811, 269, 3973, 1445, 593, 707, 3068, 6091, 543, 2119, 547, 1847, 873, 20733, 269, 8844, 856, 540, 707, 4313, 7997, 676, 8026, 538, 4395, 540, 513, 11604, 610, 609, 824, 1004, 269, 7053, 267, 5968, 707, 6364, 676, 6031, 267, 1412, 16100, 267, 594, 13736, 32127, 256, 262, 5016, 21659, 29560, 804, 11474, 1010, 3946, 1927, 269, 834, 296, 3893, 621, 256, 594, 666, 2259, 1373, 513, 6126, 8773, 267, 513, 8909, 8773, 267, 606, 14220, 8773, 1862, 26272, 267, 972, 616, 865, 1082, 4664, 594, 666, 2263, 15323, 257, 6546, 781, 1318, 10590, 1767, 27385, 269, 834, 4517, 3314, 267, 3025, 6238, 12341, 269, 4634, 4583, 11051, 1185, 547, 1376, 609, 1507, 3268, 269, 2060, 20982, 2259, 267, 596, 666, 1831, 1732, 543, 1732, 1142, 1554, 3010, 21659, 29560, 5433, 9599, 543, 6273, 269, 1261, 7948, 1405, 7227, 547, 1376, 1818, 1010, 7260, 543, 3695, 782, 519, 1114, 2984, 543, 4664, 646, 1223, 1711, 269, 1656, 609, 27385, 781, 5583, 267, 646, 6785, 646, 1223, 14133, 538, 7900, 6575, 543, 4670, 14708, 269, 634, 1439, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 9349, 700, 1478, 8249, 267, 31876, 585, 19536, 543, 23255, 454, 347, 12709, 1315, 15406, 305, 454, 8368, 540, 12937, 454, 2750, 3250, 532, 609, 20150, 454, 289, 16781, 320, 8055, 3733, 956, 267, 12854, 267, 25288, 1306, 6853, 267, 12854, 267, 23715, 787, 4223, 11535, 267, 9049, 543, 670, 3326, 529, 1744, 3530, 518, 454, 277, 4510, 279, 966, 16695, 3220, 1421, 26396, 26234, 267, 23794, 476, 5780, 273, 1240, 454, 26239, 18462, 281, 20056, 532, 609, 20150, 281, 5136, 8877, 11879, 7136, 4635, 5548, 756, 4733, 6657, 12857, 513, 1007, 1259, 547, 11126, 519, 3356, 540, 6267, 609, 20284, 269, 1234, 2286, 2565, 2527, 2337, 6267, 4019, 1344, 538, 1007, 2081, 21245, 31633, 269, 901, 1433, 568, 827, 3257, 1919, 8335, 547, 9797, 1764, 2043, 593, 519, 8552, 676, 5885, 519, 1646, 540, 2565, 2527, 538, 2127, 602, 616, 2556, 585, 3811, 8647, 538, 1753, 267, 960, 267, 543, 2146, 1210, 519, 1382, 2861, 2609, 540, 20982, 2259, 563, 1103, 713, 1433, 267, 519, 2185, 2609, 540, 20982, 2259, 4534, 3384, 1808, 3853, 267, 4180, 1445, 267, 3001, 856, 540, 519, 4313, 7997, 267, 543, 14379, 4093, 4534, 616, 4294, 547, 3450, 1514, 267, 2792, 267, 543, 3232, 2713, 1983, 269, 11879, 2527, 543, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 27400, 8551, 1315, 17912, 1315, 19992, 7308, 4149, 322, 25333, 27884, 267, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 0, 6092, 5149, 281, 17327, 3778, 543, 15350, 5525, 692, 8702, 547, 713, 3078, 1576, 1770, 1141, 649, 786, 2263, 519, 4241, 1158, 540, 5711, 1686, 543, 3965, 2090, 256, 5620, 596, 2479, 9289, 875, 1004, 1451, 827, 519, 2250, 286, 2755, 972, 616, 1082, 2081, 547, 1353, 1686, 267, 835, 1271, 1505, 3322, 6947, 547, 519, 8823, 543, 2984, 540, 1004, 945, 5030, 998, 1114, 2621, 543, 2053, 269, 901, 2361, 540, 1353, 568, 1572, 5711, 1686, 267, 543, 621, 2337, 721, 1174, 519, 2250, 538, 1007, 543, 4277, 2081, 780, 4131, 781, 4952, 602, 596, 1616, 547, 1451, 811, 827, 707, 5172, 2749, 1107, 1577, 781, 2161, 267, 29016, 269, 2986, 1576, 267, 596, 666, 1224, 2835, 827, 922, 1686, 267, 855, 1018, 952, 596, 1223, 849, 6432, 547, 519, 2984, 540, 1004, 945, 8057, 909, 972, 610, 4810, 1713, 8090, 538, 519, 2749, 781, 1646, 286, 1635, 10655, 741, 8823, 543, 8497, 873, 585, 2104, 5481, 267, 649, 1711, 1945, 1634, 607, 606, 5711, 1686, 780, 3086, 267, 1946, 798, 649, 1416, 827, 891, 1367, 2984, 286, 4270, 267, 789, 948, 721, 1732, 1174, 875, 3677, 3140, 2621, 4299, 1483, 1004, 269, 1280, 3236, 267, 1565, 827, 513, 4583, 6370, 998, 4013, 6054, 6645, 721, 835, 2427, 540, 519, 1650, 269, 1717, 267, 6217, 689, 2576, 945, 10692, 538, 602, 6370, 2488, 5813, 883, 519, 4664, 267, 9620, 267, 543, 4948, 2833, 1282, 602, 942, 269, 1452, 2123, 6386, 1039, 3178, 543, 8103, 547, 938, 1620, 540, 1686, 780, 300, 25514, 2090, 979, 1688, 2987, 11804, 609, 5711, 1686, 1317, 789, 1445, 593, 875, 2043, 3314, 543, 2671, 741, 1378, 12583, 269, 6490, 1559, 5749, 1405, 2141, 4977, 282, 789, 666, 1689, 936, 942, 610, 581, 6766, 676, 1585, 2188, 899, 4664, 543, 1514, 8658, 269, 1924, 267, 950, 12206, 2445, 5711, 12583, 267, 789, 991, 547, 2015, 1312, 519, 23610, 1344, 1373, 3838, 543, 519, 1259, 1346, 5013, 616, 15422, 780, 1103, 713, 1576, 1770, 267, 649, 786, 4685, 4514, 883, 519, 2409, 1031, 547, 2445, 5711, 12583, 267, 5659, 8823, 267, 543, 4983, 5683, 9270, 3238, 538, 2324, 609, 1004, 781, 2123, 2984, 269, 1284, 786, 1413, 693, 1806, 540, 3811 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 25889, 763, 1032, 568, 476, 4489, 277, 269, 634, 4279, 2782, 630, 310, 310, 296, 264, 814, 1044, 986, 3101, 585, 936, 513, 1032, 269, 634, 2136, 2276, 814, 7283, 9243, 543, 18423, 856, 540, 519, 4655, 269, 32722, 538, 519, 2276, 568, 25921, 5258, 607, 547, 1018, 938, 1909, 1058, 581, 538, 713, 4655, 269, 9701, 649, 3251, 856, 540, 621, 4625, 543, 1152, 2709, 19493, 5351, 547, 9601, 540, 519, 2112, 286, 2107, 1058, 519, 2475, 6443, 519, 2112, 286, 1403, 519, 2475, 26082, 519, 2112, 267, 945, 1058, 649, 1489, 286, 10112, 9892, 7312, 7084, 568, 547, 1711, 513, 968, 335, 1886, 698, 7701, 16968, 892, 2901, 585, 610, 1996, 519, 2475, 10024, 13431, 296, 269, 2659, 16968, 1590, 581, 513, 4999, 540, 12449, 267, 6337, 267, 610, 824, 2592, 602, 596, 1265, 689, 707, 1382, 543, 513, 2110, 1793, 25830, 610, 824, 30973, 6031, 5885, 707, 2014, 269, 1411, 1590, 1683, 513, 4704, 593, 519, 16968, 4976, 585, 1142, 8642, 267, 8666, 267, 610, 824, 3239, 602, 596, 946, 538, 707, 16968, 8259, 596, 2813, 621, 3054, 269, 1703, 568, 513, 1592, 540, 2200, 547, 1205, 707, 3323, 693, 519, 1439, 540, 713, 7084, 602, 616, 849, 7396, 538, 519, 1576, 7387, 269, 7312, 968, 335, 8803, 892, 666, 581, 593, 513, 17948, 13472, 267, 513, 5616, 13472, 267, 5616, 14301, 267, 513, 6478, 2703, 267, 513, 7824, 267, 610, 824, 6881, 3898, 269, 4495, 596, 723, 2813, 707, 16968, 267, 621, 568, 1655, 547, 4688, 621, 547, 513, 7824, 3898, 269, 1411, 786, 849, 6445, 856, 519, 16968, 4976, 547, 2491, 707, 16968, 543, 1592, 519, 2959, 596, 1031, 538, 1818, 707, 16968, 269, 21976, 8620, 513, 16968, 269, 21976, 585, 519, 16968, 281, 28733, 569, 6655, 835, 540, 519, 7158, 7396, 2630, 269, 634, 2136, 2276, 1058, 281, 7230, 664, 9243, 543, 1152, 18445, 19493, 5351, 12282, 7765, 519, 27469, 12282, 7765, 519, 6239, 25024, 269, 5970, 693, 2547, 835, 3948, 602, 15156, 585, 707, 2990, 4318, 3052, 269, 17268, 585, 29591, 8627, 5213, 1406, 1577, 707, 18544, 7485, 596, 883, 713, 991, 1652, 2112, 8627, 5808, 786, 9718, 873, 950, 596, 616, 8854, 286, 25147, 1344, 827, 945, 596, 616, 543, 1946, 596, 616, 14957, 585, 602, 2990, 2901, 538, 606, 3606, 3948, 610, 538, 513, 8642, 1106, 269, 6701, 596, 606, 19366, 5885, 707, 1753, 2197, 610, 707, 1007, 2197, 286, 6701, 596, 513, 9769, 11832, 945, 23216, 610, 9969, 4181, 609, 519, 9769, 2990, 593, 519, 2112, 286, 6701, 596, 513, 7255, 2475, 12504, 6340, 856, 827, 2475, 4507, 610, 2152, 540, 7862, 286, 1607, 1281, 711, 723, 547, 581, 1759, 593, 945, 596, 616, 1631, 269, 5970, 693, 2547, 835, 14745, 267, 8523, 267, 610, 824, 8642, 602, 2337, 6655, 707, 2990, 269, 6826, 2653, 547, 1224, 543, 1397, 930, 2219, 827, 519, 1374, 269, 630, 10673, 1406, 1175, 1793, 777, 2592, 543, 1913, 593, 513, 13472, 543, 1289, 621, 2944, 8094, 2171, 2709, 519, 1655, 2688, 1957, 1603, 2533, 269, 1284, 723, 2944, 713, 2243, 1354, 267, 649, 666, 849, 798, 621, 585, 596, 563, 268, 476, 1911, 260, 1875, 13807, 698, 3511, 1242, 14430, 454, 268, 476, 2190, 270, 278, 1315, 18458, 6796, 12232, 454, 268, 32285, 31245, 454, 268, 7102, 7433, 267, 7984, 11765, 267, 543, 13595, 454, 268, 4024, 2347, 707, 4574, 538, 476, 277, 3108, 454, 268, 2201, 6066, 24822, 454, 268, 14559, 25746, 543, 21041, 18715, 454, 268, 1133, 15905, 2549, 754, 906, 2390, 7662, 454, 268, 9045, 529, 8351, 10018, 454, 1692, 898, 3718, 454, 268, 8437, 593, 519, 968, 20278, 2659, 11352, 892, 9184, 693, 519, 1283, 10624, 610, 968, 24576, 3767, 892, 12835, 693, 519, 5377, 543, 513, 1007, 2985, 786, 2408, 609, 606, 1931, 1106, 547, 581, 4904, 563, 268, 19130, 538, 707, 1957, 779, 4170, 538, 519, 834, 303, 4338, 2207, 667, 4953, 288, 6579, 306, 257, 3296, 563, 268, 19130, 538, 707, 1957, 779, 4081, 1377, 267, 21120, 543, 519, 2838, 1297, 540, 3817, 689, 519, 6749, 16365, 27487, 563, 268, 8437, 968, 290, 3918, 12442, 8028, 4596, 7419, 307, 1299, 590, 22218, 5442, 892, 547, 4283, 707, 14261, 3877, 543, 1205, 606, 2272, 609, 721, 585, 2594, 268, 15209, 543, 1287, 267, 4945, 593, 968, 24165, 4753, 3633, 9215, 595, 4047, 290, 298, 27345, 892, 693, 519, 5377, 540, 519, 2985, 563, 268, 3245, 972, 267, 519, 8569, 6810, 786, 1397, 267, 1246, 519, 11461, 8569, 1184, 543, 707, 1931, 786, 581, 2139, 585, 938, 1603, 2319, 547, 960, 593, 621, 269, 0, 1607, 1957, 8039, 519, 1382, 543, 1699, 3609, 4478, 27514, 4568, 4598, 543, 19341, 4568, 8552, 4713, 630, 293, 32359, 1040, 15850, 946, 1282, 6379, 568, 5532, 547, 513, 8552, 540, 8801, 19341, 4093, 269, 901, 8552, 540, 17244, 568, 15217, 17941, 19341, 4568, 8552, 4713, 543, 949, 1331, 2168, 267, 5042, 543, 5924, 11095, 2589, 269, 634, 2832, 540, 713, 1957, 568, 547, 1217, 9439, 543, 824, 4648, 2324, 538, 513, 2039, 540, 4610, 827, 519, 6286, 540, 674, 32359, 585, 1453, 543, 741, 3885, 269, 7351, 1382, 593, 7459, 610, 3292, 547, 960, 609, 3885, 4299, 676, 674, 32359, 568, 849, 8268, 563, 268, 623, 1066, 7614, 4568, 4598, 666, 2014, 513, 2039, 540, 5042, 543, 2168, 17244, 538, 24201, 602, 666, 1291, 547, 23043, 538, 513, 2039, 540, 3252, 281, 10444, 1949, 267, 1893, 543, 2792, 267, 4393, 10605, 267, 1565, 543, 3965, 267, 7493, 3206, 267, 543, 10324, 8647, 563, 268, 16700, 24483, 543, 2978, 2454, 540, 1346, 609, 674, 32359, 666, 1291, 547, 513, 4057, 1582, 8410, 1061, 267, 22314, 9263, 3347, 267, 5762, 3293, 3872, 543, 13307, 2833, 543, 3346, 609, 6107, 5126, 2533, 563, 268, 634, 9860, 540, 674, 32359, 568, 2693, 547, 581, 19765, 13846, 676, 1699, 3800, 269, 15742, 5095, 267, 1519, 1453, 538, 856, 6361, 25571, 1416, 543, 1453, 538, 3346, 609, 6107, 5126, 2533, 616, 2219, 547, 1331, 606, 936, 3146, 335, 19948, 540, 2043, 2713, 609, 606, 32373, 539, 674, 32359, 563, 268, 570, 871, 1782, 674, 32359, 3340, 5059, 543, 20291, 23499, 543, 3444, 5823, 4485, 269, 2859, 1344, 827, 519, 9860, 543, 2470, 540, 674, 32359, 786, 1450, 585, 4824, 3028, 4058, 543, 6388, 563, 268, 8889, 8846, 616, 2877, 602, 3922, 1047, 519, 9584, 543, 6604, 540, 674, 32359, 538, 519, 2146, 563, 268, 7351, 543, 2104, 4648, 267, 1519, 1346, 538, 12926, 2937, 25700, 2533, 267, 991, 4656, 543, 1702, 827, 519, 4644, 540, 674, 32359, 543, 27514, 4568, 4598, 593, 1453, 781, 2729, 269, 0, 763, 3310, 540, 16247, 12526, 593, 519, 14809, 19339, 8982, 2623, 540, 513, 4874, 322, 31051, 710, 2706, 718, 1195, 1031, 538, 513, 3266, 268, 1263, 1149, 568, 2808, 269, 27842, 7318, 896, 513, 3099, 540, 2825, 2175, 630, 10175, 23927, 547, 2011, 267, 14298, 343, 3154, 267, 543, 6070, 264, 616, 6353, 998, 513, 24194, 540, 1164, 22822, 18572, 2409, 267, 1519, 6771, 6475, 22794, 630, 307, 4932, 1070, 6281, 9357, 2527, 21655, 630, 333, 8457, 10485, 5960, 1070, 543, 11046, 16785, 29821, 630, 4338, 307, 1040, 634, 3119, 1198, 540, 16247, 12526, 568, 547, 17108, 519, 11523, 2208, 2557, 676, 19249, 519, 5821, 7271, 269, 634, 16038, 5960, 543, 570, 4932, 9382, 5815, 9197, 6874, 328, 30423, 9325, 5250, 693, 10286, 6302, 6619, 540, 543, 1472, 12444, 1242, 18015, 269, 634, 6673, 307, 2079, 5267, 602, 891, 5536, 1287, 12444, 1125, 607, 519, 11523, 9070, 919, 543, 616, 17158, 539, 538, 6985, 807, 269, 634, 6985, 807, 568, 11303, 676, 513, 6024, 4494, 540, 620, 29837, 1369, 519, 18015, 269, 2353, 540, 519, 16247, 9571, 729, 16876, 1369, 519, 5536, 267, 609, 1100, 3693, 531, 17478, 1336, 693, 10286, 6302, 563, 306, 5285, 584, 267, 607, 606, 791, 12053, 267, 3335, 814, 513, 1713, 267, 17672, 1198, 593, 519, 7344, 3601, 540, 19695, 2861, 2706, 718, 9081, 267, 3226, 14809, 9854, 16804, 272, 267, 273, 267, 274, 316, 4856, 12509, 6127, 616, 1950, 543, 4268, 609, 18585, 5888, 267, 2837, 267, 543, 15205, 20816, 269, 1358, 616, 17618, 19040, 883, 1079, 1292, 20816, 281, 1826, 594, 543, 1826, 4083, 269, 7392, 594, 3905, 14809, 4386, 693, 11506, 5210, 630, 10090, 958, 3436, 476, 8517, 11019, 290, 264, 543, 568, 513, 1267, 540, 25183, 6070, 12074, 267, 1247, 1826, 4083, 6257, 519, 4323, 540, 2539, 13621, 2837, 552, 583, 624, 545, 6070, 23399, 602, 666, 2291, 538, 513, 7123, 5277, 1106, 1472, 476, 7785, 11019, 290, 547, 476, 16020, 11019, 290, 269, 634, 2333, 538, 5665, 5210, 540, 513, 3266, 268, 19956, 3334, 267, 971, 607, 17081, 25923, 267, 5012, 547, 2175, 538, 799, 1826, 4083, 3905, 14809, 949, 581, 3742, 269, 898, 568, 267, 4061, 267, 1898, 547, 2744, 513, 4514, 1620, 540, 519, 7271, 3238, 543, 1761, 6604, 11507, 563, 28095, 960, 593, 1826, 4083, 3905, 14809, 540, 519, 17081, 1167, 18585, 681, 305, 1911, 271, 729, 5340, 676, 1896, 4589, 16804, 276, 267, 277, 267, 278, 316, 853, 1738, 267, 2566, 6954, 8047, 4255, 941, 5340, 676, 7402, 21590, 14114, 1886, 525, 320, 1696, 620, 269, 593, 681, 305, 1911, 271, 6534, 547, 14298, 343, 3154, 269, 589, 5394, 12242, 268, 6448, 4494, 729, 1336, 547, 1106, 267, 609, 606, 5817, 26388, 1606, 5285, 584, 11656, 5123, 269, 7621, 728, 838, 718, 566, 729, 8476, 676, 519, 16247, 4598, 4611, 538, 1570, 2530, 543, 519, 4323, 27636, 998, 2647, 267, 13719, 8486, 5250, 269, 4856, 12509, 19339, 8982, 4255, 5340, 676, 4132, 1696, 620, 269, 1336, 602, 9854, 1272, 666, 581, 7494, 6766, 676, 19249, 11523, 22612, 2623, 281, 10156, 9854, 2729, 941, 5833, 676, 2810, 519, 3355, 2892, 1154, 1377, 267, 799, 4679, 8486, 1154, 3928, 269, 1879, 6190, 4452, 568, 4294, 267, 5276, 18015, 1106, 689, 519, 29365, 267, 1247, 896, 2539, 13907, 267, 14809, 4386, 998, 513, 6404, 268, 6448, 4336, 5250, 543, 838, 718, 566, 269, 595, 1442, 902, 1696, 620, 269, 6594, 4481, 519, 1198, 540, 2199, 6070, 2157, 630, 325, 12999, 264, 543, 2566, 2157, 1282, 11979, 610, 28023, 15205, 269, 1358, 5340, 513, 9836, 1353, 267, 19249, 519, 6070, 2157, 543, 2566, 2157, 543, 1336, 602, 519, 3905, 14809, 3210, 540, 519, 18585, 1223, 1821, 5573, 689, 519, 5187, 2065, 267, 2757, 968, 29602, 1532, 749, 892, 7455, 267, 10223, 519, 10421, 585, 2417, 1808, 2090, 1915, 1944, 11523, 4388, 547, 30881, 519, 5821, 6127, 563, 4913, 267, 1896, 1271, 3344, 2611, 547, 581, 6956, 281, 1215, 1281, 519, 16247, 21078, 693, 519, 11523, 4388, 286, 1215, 1454, 16247, 12526, 568, 2556, 547, 2014, 2377, 761, 25557, 286, 2052, 16247, 581, 16876, 547, 1808, 11775, 998, 519, 6098, 18585, 532, 1840, 540, 2609, 971, 607, 2098, 337, 543, 670, 325, 286, 5637, 723, 1279, 1044, 3773, 547, 519, 3114, 15885, 540, 19695, 2706, 718, 9081, 547, 957, 607, 16247, 1205, 1562, 267, 543, 930, 1179, 3634, 519, 5250, 540, 670, 325, 2861, 631, 273, 17092, 9829, 1938, 269, 11524, 15974, 602, 519, 9829, 1938, 540, 670, 325, 543, 2098, 337, 786, 723, 2362, 13621, 2798, 3379, 547, 15281, 9829, 1938, 267, 799, 6632, 10286, 6302, 693, 11506, 5210, 267, 4352, 519, 7271, 676, 799, 891, 2609, 1223, 957, 607, 16247, 25094, 12310, 3788, 21792, 563, 1103, 519, 1459, 1353, 267, 681, 305, 1911, 271, 729, 7318, 896, 17743, 9854, 2175, 693, 11506, 2837, 543, 6534, 547, 2011, 267, 14298, 343, 267, 543, 6070, 269, 4400, 22822, 2890, 560, 24780, 18572, 729, 5340, 1210, 6771, 6475, 22794, 20589, 1673, 7371, 619, 633, 2473, 11920, 21655, 630, 307, 4932, 268, 3633, 311, 1070, 6281, 9357, 2527, 21655, 630, 333, 8457, 10485, 5960, 1070, 543, 11046, 16785, 29821, 630, 4338, 307, 264, 547, 3489, 4977, 3114, 7851, 540, 16247, 543, 5135, 5627, 11775, 693, 11523, 4388, 269, 901, 2376, 4564, 519, 1101, 3236, 540, 1164, 22822, 18572, 593, 713, 18585, 1310, 16247, 23927, 543, 2488, 1007, 4030, 593, 519, 1909, 1808, 18585, 532, 2609, 1404, 538, 519, 9829, 9179, 543, 3905, 14809, 4187, 540, 19695, 2706, 718, 9081, 563, 763, 1459, 960, 11567, 513, 5386, 3766, 11712, 630, 293, 294, 264, 14583, 540, 519, 4874, 322, 31051, 710, 17081, 1167, 18585, 681, 305, 1911, 271, 630, 283, 476, 1015, 32755, 10286, 2450, 1040, 634, 5888, 540, 713, 18585, 568, 2016, 538, 7305, 594, 543, 729, 6027, 676, 32366, 1947, 13745, 11919 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 281, 476, 3393, 268, 3445, 3764, 21143, 265, 2878, 3725, 817, 612, 20856, 675, 13307, 4995, 6333, 1065, 3789, 532, 519, 16173, 267, 16003, 267, 610, 17643, 3650, 547, 1711, 513, 2631, 540, 2095, 543, 22371, 563, 265, 2878, 18933, 777, 4439, 5652, 11647, 4995, 11780, 1804, 8709, 885, 585, 3774, 2173, 870, 539, 29826, 267, 19516, 531, 30520, 267, 610, 11741, 4859, 4559, 563, 265, 2878, 305, 996, 1074, 11604, 13307, 4995, 670, 836, 19141, 6587, 9486, 547, 25483, 2067, 1769, 610, 1747, 873, 1657, 3750, 1377, 547, 1711, 519, 21903, 540, 26339, 2781, 559, 902, 780, 1262, 3721, 476, 278, 281, 5410, 10439, 570, 9581, 630, 11742, 22490, 281, 476, 736, 268, 2412, 3764, 21143, 265, 2878, 8620, 7299, 3515, 4995, 12305, 6989, 3562, 268, 576, 4979, 6692, 1324, 267, 13793, 7381, 11247, 267, 610, 1039, 4174, 6244, 3774, 17549, 547, 2721, 4064, 16057, 543, 11168, 18109, 4463, 563, 265, 2878, 8196, 14436, 7252, 4995, 19308, 4837, 267, 4496, 267, 610, 8272, 549, 1042, 2609, 547, 24244, 1769, 543, 1711, 3178, 2192, 16272, 563, 265, 2878, 14737, 4476, 3308, 7496, 4995, 2558, 574, 1394, 4430, 16714, 267, 4894, 15652, 13819, 267, 610, 5372, 4396, 9885, 609, 15470, 539, 4837, 8925, 780, 1262, 23558, 256, 1411, 5620, 11773, 2685, 17214, 2659, 9540, 24872, 3336, 2561, 792, 700, 24147, 256, 4373, 8855, 267, 9639, 543, 3007, 547, 1469, 616, 1883, 950, 21365, 891, 4247, 269, 5213, 1405, 19292, 547, 3343, 5583, 689, 4648, 610, 2828, 952, 596, 2811, 18516, 827, 1808, 3268, 269, 17949, 707, 9241, 9927, 19880, 25113, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 13014, 513, 9540, 24872, 3336, 2561, 792, 700, 24147, 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, 589, 1906, 3275, 3516, 267, 594, 729, 19855, 2228, 585, 513, 1007, 1688, 321, 698, 689, 1250, 5172, 17195, 6216, 269, 594, 16686, 2390, 606, 552, 19645, 3135, 602, 1185, 519, 3169, 2203, 594, 4941, 693, 513, 3648, 2539, 3902, 982, 1018, 594, 9364, 2938, 11992, 269, 4014, 594, 4769, 1405, 723, 1022, 1995, 609, 519, 3896, 267, 594, 4956, 547, 1491, 513, 4960, 2094, 519, 3902, 1448, 8604, 1932, 1434, 547, 1780, 909, 780, 5475, 11093, 1250, 1931, 267, 594, 23362, 19179, 1243, 922, 12625, 269, 1879, 519, 10189, 6368, 3357, 267, 594, 31113, 8118, 621, 909, 1152, 547, 1265, 602, 519, 9126, 6743, 543, 5433, 10464, 269, 898, 7012, 1405, 1500, 540, 9758, 16463, 899, 519, 835, 593, 519, 4013, 3896, 267, 543, 930, 540, 519, 19173, 532, 729, 4947, 10690, 269, 1677, 1039, 29405, 547, 5945, 267, 519, 20446, 729, 5594, 1055, 4099, 910, 513, 2386, 13933, 1129, 540, 513, 16995, 1587, 780, 30342, 25922, 543, 21616, 267, 594, 6603, 856, 547, 519, 552, 19645, 3135, 781, 6075, 1489, 2319, 547, 7662, 513, 32479, 269, 1717, 267, 789, 16053, 1250, 13668, 543, 5555, 11074, 14775, 15587, 269, 2311, 713, 1448, 267, 594, 7691, 602, 594, 1185, 15468, 6408, 547, 606, 2228, 1085, 600, 9513, 4831, 10623, 527, 5370, 780, 291, 17827, 547, 1205, 5126, 543, 2061, 1866, 689, 9991, 883, 519, 1482, 15972, 267, 594, 3576, 6927, 883, 1250, 1378, 3946, 269, 2991, 3257, 930, 11739, 583, 3107, 267, 594, 4362, 602, 519, 3896, 729, 2196, 676, 513, 1895, 540, 3486, 1085, 27980, 945, 941, 13389, 5667, 639, 1051, 532, 6300, 11825, 3168, 585, 9388, 593, 1164, 15134, 6752, 3688, 780, 19102, 323, 4601, 267, 594, 7307, 547, 3950, 1524, 519, 4487, 332, 785, 3297, 519, 5106, 998, 1514, 2923, 543, 824, 1857, 5638, 269, 2060, 519, 948, 540, 2199, 1876, 11268, 543, 5313, 8128, 267, 649, 5249, 1927, 547, 1628, 513, 2013, 1996, 1864, 543, 1010, 27498, 780, 2005, 7140, 856, 602, 519, 812, 4881, 519, 10325, 729, 2965, 513, 5449, 10324, 585, 519, 1360, 17195, 6216, 4171, 2472, 646, 1185, 1044, 678, 6235, 1055, 256, 1261, 1185, 1031, 1010, 1202, 3187, 1702, 547, 1711, 20310, 18187, 553, 543, 6133, 873, 896, 7301, 5910, 5151, 780, 12552, 547, 938, 3646, 267, 519, 10419, 15249, 543, 1010, 6104, 1182, 941, 4547, 547, 5126, 543, 9901, 609, 2789, 12523, 540, 12611, 543, 7214, 3959, 17403, 269, 2755, 594, 2760, 1705, 4309, 1250, 2724, 1394, 267, 6616, 602, 594, 5129, 513, 1909, 538, 2921, 1524, 971, 513, 683, 325, 13895, 5106, 5795, 803, 513, 2631, 540, 9547, 7429, 4376, 3116, 780, 3383, 267, 952, 596, 2811, 2479, 6236, 9140, 14704, 2472, 689, 606, 796, 3530, 559, 7007, 552, 19645, 3135, 267, 3314, 1250, 1650, 269, 11644, 3665, 13657, 543, 2141, 5595, 27902, 519, 26117, 540, 519, 22673, 1354, 1818, 513, 6718, 269, 1411, 2760, 917, 945, 1522, 581, 30443, 6362, 3297, 1346, 1303, 6005, 28774, 269, 0, 2237, 513, 1650, 538, 519, 2511, 540, 1483, 3734, 3871, 602, 1004, 2671, 538, 15473, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 912, 2108, 3674, 621, 2922, 547, 6718, 14704, 2472, 689, 796, 3530, 559, 7007, 552, 19645, 7270, 888, 296, 798, 711, 723, 2123, 8369, 610, 2833, 609, 10918, 269, 2705, 267, 621, 568, 1271, 547, 3635, 13657, 950, 11449, 14704, 2472, 689, 796, 3530, 559, 7007, 552, 19645, 7270, 269, 891, 7270, 949, 711, 723, 519, 1482, 2298, 1852, 4441, 610, 6075, 3028, 607, 4013, 21625, 269, 538, 1840, 267, 972, 568, 513, 1981, 540, 8391, 4831, 10623, 527, 610, 30081, 2472, 269, 621, 568, 5227, 547, 1382, 519, 3896, 543, 1224, 8039, 1354, 1818, 513, 6718, 269, 621, 949, 849, 581, 10930, 547, 6718, 689, 4013, 21625, 610, 17101, 1191, 961, 619, 14325, 763, 1650, 2115, 547, 1331, 513, 8903, 543, 6397, 4729, 6335, 269, 2659, 2239, 1058, 13469, 609, 519, 13597, 543, 2123, 5905, 1336, 538, 8468, 5717, 269, 3417, 11541, 2621, 543, 3929, 3178, 563, 0, 3848, 476, 272, 281, 4985, 547, 7073, 626, 27587, 998, 11633, 769, 3685, 543, 6355, 16743, 692, 763, 2413, 626, 3350, 729, 6353, 676, 513, 2736, 689, 2757, 6163, 543, 2553, 267, 10771, 3079, 1106, 267, 1599, 267, 543, 1007, 2326, 269, 901, 3184, 786, 2263, 713, 3350, 676, 6313, 1614, 1883, 5515, 945, 941, 15747, 538, 5935, 1977, 2872, 543, 16450, 1282, 519, 13524, 2540, 281, 20908, 572, 5548, 8457, 267, 23266, 540, 3595, 16513, 530, 3754, 4401, 1750, 7370, 282, 5261, 674, 269, 4498, 526, 523, 267, 28013, 540, 519, 1101, 2769, 4172, 8175, 3028, 282, 543, 11066, 570, 1952, 534, 267, 13653, 540, 519, 30330, 656, 850, 10837, 269, 1452, 3048, 2209, 12013, 1518, 519, 6891, 540, 2413, 1143, 267, 1210, 2029, 543, 10721, 3889, 547, 22499, 741, 9757, 4610, 780, 4089, 476, 272, 281, 9605, 16513, 654, 3754, 11635, 4258, 7370, 910, 589, 5530, 538, 7698, 3163, 543, 5071, 692, 1103, 4728, 476, 9264, 277, 267, 20908, 572, 5548, 8457, 540, 1715, 3840, 267, 12924, 5833, 513, 14664, 585, 1010, 8798, 267, 834, 27852, 19577, 654, 3754, 11635, 4258, 7370, 1701, 2311, 922, 4295, 267, 713, 5647, 6719, 513, 7096, 6521, 538, 3206, 827, 1570, 2257, 267, 4702, 267, 543, 1374, 269, 1635, 9256, 530, 3754, 4401, 12544, 544, 4150, 762, 2943, 7347, 4496, 1765, 5976, 5499, 13471, 2409, 267, 5548, 8457, 2813, 513, 5150, 4859, 3070, 602, 1223, 2149, 3407, 6054, 543, 22590, 1996, 1312, 17403, 543, 3595, 269, 4014, 9583, 5294, 24191, 2221, 267, 971, 4027, 1131, 723, 1044, 3810, 8179, 1310, 693, 513, 942, 950, 4683, 11642, 15054, 1713, 4220, 547, 4213, 543, 10820, 7567, 780, 22013, 8457, 781, 960, 1095, 3042, 2663, 7835, 1369, 519, 2361, 540, 4853, 1374, 267, 3226, 1346, 2404, 609, 519, 2413, 626, 31672, 269, 3571, 1445, 593, 2870, 6198, 3615, 9001, 5969, 12967, 2326, 14753, 2047, 547, 519, 6626, 6663, 540, 519, 2413, 626, 1788, 267, 799, 6322, 547, 31363, 15312, 609, 10626, 1247, 8508, 6639, 7760, 269, 4653, 267, 9858, 3136, 547, 20920, 609, 891, 1482, 4145, 267, 13326, 1106, 543, 10342, 9624, 4028, 2242, 4547, 827, 676, 3059, 4066, 543, 6932, 5663, 3157, 780, 4089, 476, 273, 281, 18124, 21676, 13205, 910, 27505, 1359, 8298, 2524, 543, 18242, 20456, 5004, 692, 4002, 5988, 476, 2537, 267, 476, 8146, 280, 267, 5261, 674, 269, 4498, 526, 523, 9250, 519, 4182, 781, 1101, 2769, 4172, 8175, 3028, 267, 5665, 1063, 11785, 543, 1715, 3840, 4975, 269, 1306, 3013, 9450, 31023, 267, 3608, 6283, 5121, 2968, 5051, 4105, 547, 1489, 24567, 4123, 11507, 269, 20876, 713, 991, 267, 4498, 526, 523, 2919, 513, 1062, 602, 11573, 3042, 4540, 5989, 630, 7945, 607, 3942, 1723, 2851, 543, 9252, 2692, 1846, 264, 2059, 609, 6131, 26348, 547, 2327, 16190, 6765, 540, 5370, 543, 6835, 2066, 1279, 9883, 780, 19604, 526, 523, 781, 2754, 1200, 531, 4765, 519, 21554, 540, 3318, 17825, 2359, 267, 9027, 908, 4207, 3761, 5832, 2591, 5185, 676, 2518, 14078, 269, 11569, 267, 1082, 3344, 540, 2413, 17825, 666, 10250, 741, 5072, 1394, 547, 4498, 526, 523, 781, 21722, 3646, 267, 1519, 954, 7116, 531, 3560, 267, 16516, 8977, 999, 267, 543, 21438, 9477, 1949, 269, 5047, 267, 1010, 8561, 593, 6075, 9547, 543, 10727, 3788, 513, 22294, 540, 3811, 16904, 2221, 267, 25967, 1681, 519, 11972, 10083, 540, 1010, 5075, 780, 4089, 476, 274, 281, 4039, 4192, 15894, 6176, 910, 8629, 2032, 543, 4578, 14635, 538, 7216, 30330, 656, 850, 589, 2102, 2886, 692, 299, 1168, 529, 570, 1952, 534, 5129, 513, 11358, 1909, 538, 9591, 519, 30330, 656, 850, 10837, 538, 1715, 3840, 4975, 593, 5147, 476, 736, 267, 476, 7277, 272, 269, 17130, 539, 609, 3246, 5812, 267, 28102, 5491, 1344, 547, 32224, 267, 570, 1952, 534, 6444, 519, 1761, 1871, 540, 14237, 513, 3060, 540, 18164, 5330, 757, 24797, 2429, 2101, 4872, 543, 10034, 269, 3414, 11826, 1239, 4015, 543, 2079, 267, 519, 8116, 6035, 7218, 1569, 547, 1898, 2883, 4987, 267, 7175, 873, 547, 1118, 5483, 3664, 3823, 12352, 543, 9541, 780, 9213, 267, 3906, 899, 9208, 1299, 18648, 781, 267, 28239, 344, 781, 267, 543, 674, 3558, 13158, 902, 1685, 2147, 3252, 267, 10442, 9746, 2773, 543, 26471, 5491, 10290, 1465, 8464, 1759, 593, 1950, 6620, 543, 5318, 7708, 1407, 540, 2883, 1239, 269, 1717, 267, 2055, 4478, 1843, 2032, 543, 11413, 6414, 267, 16079, 532, 9840, 6659, 1282, 570, 1952, 534, 781, 5736, 269, 1280, 3236, 267, 13915, 8044, 602, 12773, 8041, 949, 581, 6766, 676, 2797, 9270, 610, 7526, 540, 1719, 267, 14944, 1456, 741, 17258, 543, 12117, 269, 4935, 267, 3695, 3140, 9551, 757, 1305, 8521, 676, 2038, 24271, 656, 850, 8041, 24259, 1769, 593, 5571, 5717, 7282, 12477, 543, 31717, 640, 1369, 519, 7706, 540, 2883, 8989, 780, 6962, 281, 3955, 8588, 1145, 540, 5303, 267, 25642, 267, 543, 9177, 692, 1607, 3184, 814, 8947, 875, 14262, 18563, 543, 29426, 18129, 8032, 1977, 2872, 543, 2528, 1282, 519, 13524, 2540, 269, 3245, 3595, 16513, 530, 3754, 4401, 1750, 7370, 547, 2769, 4172, 8175, 2533, 543, 5491, 8989, 8041, 267, 891, 10124, 22113, 519, 6946, 2078, 1063, 2029, 267, 16450, 267, 543, 2686, 4082, 269, 5015, 267, 789, 6542, 602, 15851, 3741, 30343, 1967, 1765, 4067, 569, 267, 606, 9784, 540, 3209, 1399, 267, 13916, 267, 543, 5698, 1765, 8145, 664, 4143, 1256, 607, 6848, 8658, 11457, 780, 2026, 649, 6330, 938, 1378, 6385, 4657, 1158, 267, 621, 3587, 782, 519, 811, 2629, 547, 4983, 2250, 10781, 543, 3765, 25074, 547, 1732, 1174, 4207, 2591, 543, 3255, 269, 1635, 3257, 865, 267, 649, 2990, 6000, 547, 3565, 25006, 547, 5571, 19929, 4478, 1148, 267, 6189, 267, 10344, 267, 543, 3564, 267, 4180, 602, 519, 4245, 29742, 539, 689, 1686, 1217, 543, 10802, 2104, 11407, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 18550, 476, 278, 267, 476, 9264, 277, 454, 268, 20908, 572, 5548, 8457, 267, 540, 1715, 3840, 267, 12924, 282, 4607, 14664, 585, 834, 27852, 19577, 454, 310, 3754, 11635, 4258, 7370, 21968, 4864, 476, 1724, 267, 476, 8146, 275, 910, 556, 1170, 4240, 454, 1721, 513, 834, 27852, 268, 27893, 15822, 8487, 21938, 476, 2537, 267, 476, 8146, 280, 454, 268, 5261, 674, 269, 4498, 526, 523, 6896, 4182, 781, 1101, 2769, 4172, 8175, 454, 338, 16291, 267, 13234, 1063 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1535, 23692, 263, 276, 270, 273, 994, 27784, 642, 272, 815, 476, 7742, 269, 271, 4366, 454, 27784, 18529, 341, 815, 476, 271, 269, 271, 4366, 9492, 274, 692, 4913, 267, 519, 2626, 568, 476, 272, 269, 277, 4699, 274, 267, 1018, 993, 594, 3257, 4636, 2496, 323, 309, 7933, 307, 815, 645, 966, 692, 9989, 711, 6218, 547, 17969, 916, 454, 299, 5357, 267, 7064, 267, 594, 1810, 1405, 917, 1946, 594, 4718, 513, 570, 538, 519, 3830, 2439, 299, 5357, 267, 7064, 267, 594, 1810, 1405, 917, 1946, 594, 4718, 513, 570, 538, 519, 3830, 2336, 310, 7159, 267, 952, 594, 1847, 519, 4320, 547, 519, 824, 2427, 540, 519, 3830, 267, 9327, 1405, 594, 1205, 2845, 585, 4320, 286, 546, 341, 270, 309, 815, 645, 323, 307, 18092, 23692, 263, 309, 272, 270, 309, 271, 264, 815, 645, 630, 307, 272, 910, 570, 271, 264, 2496, 310, 7159, 267, 952, 594, 1847, 519, 4320, 547, 519, 824, 2427, 540, 519, 3830, 267, 9327, 1405, 594, 1205, 2845, 585, 4320, 286, 546, 341, 270, 309, 815, 645, 323, 307, 18092, 23692, 263, 309, 272, 270, 309, 271, 264, 815, 645, 630, 307, 272, 910, 570, 271, 25145, 6546, 779, 1946, 594, 5612, 25216, 519, 2022, 269, 594, 5734, 2022, 1932, 3728, 269, 2201, 1250, 6049, 594, 1826, 1360, 7444, 267, 865, 621, 568, 19849, 23035, 602, 1250, 555, 29304, 18562, 856, 2196, 1250, 2634, 269, 590, 13446, 780, 6546, 779, 1946, 594, 5612, 25216, 519, 2022, 269, 594, 5734, 2022, 1932, 3728, 269, 2201, 1250, 6049, 594, 1826, 1360, 7444, 267, 865, 621, 568, 19849, 23035, 602, 1250, 555, 29304, 18562, 856, 2196, 1250, 2634, 269, 590, 13446, 563, 25105, 267, 594, 1294, 267, 1100, 1966, 780, 3383, 594, 1705, 519, 7533, 256, 16061, 815, 476, 272, 23218, 5560, 341, 7933, 307, 994, 27784, 16061, 323, 307, 815, 546, 341, 23218, 18092, 16061, 24941, 307, 815, 23692, 17635, 272, 23218, 271, 264, 18092, 642, 272, 815, 642, 271, 324, 24941, 307, 1040, 1879, 594, 11690, 538, 519, 2418, 540, 642, 271, 267, 16061, 543, 18529, 307, 267, 594, 1205, 519, 1871, 540, 642, 272, 607, 476, 25172, 269, 6812, 267, 8754, 267, 18529, 341, 815, 476, 272, 269, 6812, 269, 6904, 568, 1018, 519, 2626, 568, 269, 1717, 267, 538, 513, 3070, 8261, 594, 1336, 2228, 267, 789, 946, 519, 3830, 18529, 341, 815, 642, 271, 15512, 24941, 307, 269, 1656, 789, 1205, 519, 2953, 2626, 269, 3733, 2243, 568, 267, 616, 891, 1079, 6697, 2496, 5804, 1250, 8174, 566, 267, 642, 272, 815, 642, 271, 324, 263, 15512, 24941, 307, 994, 5804, 519, 3435, 8261, 267, 642, 272, 815, 642, 271, 1341, 642, 271, 15512, 24941, 307, 692, 1692, 616, 642, 271, 324, 263, 15512, 24941, 307, 264, 543, 642, 271, 1341, 642, 271, 15512, 24941, 307, 519, 1482, 2496, 9618, 639, 24128, 454, 29094, 4477, 704, 454, 20112, 16588, 454, 15238, 263, 2004, 264, 910, 23692, 263, 736, 994, 1692, 1281, 10128, 546, 307, 3132, 513, 23692, 1599, 2496, 1692, 1281, 10128, 546, 307, 3132, 513, 23692, 1599, 888, 31800, 1695, 267, 594, 1705, 602, 27235, 269, 594, 4312, 6378, 602, 538, 1250, 2022, 1318, 1354, 713, 835, 692, 330, 584, 3861, 0, 258, 476, 4489, 272, 2037, 9871, 19508, 29953, 27429, 26260, 1301, 4577, 5811, 692, 295, 2752, 300, 2177, 2975, 589, 2793, 14877, 306, 3041, 267, 538, 6128, 267, 519, 2012, 2016, 676, 11184, 5261, 774, 1682, 517, 630, 299, 867, 22398, 9109, 264, 543, 623, 269, 717, 269, 570, 7159, 538, 741, 1521, 1047, 593, 7849, 13898, 547, 513, 2489, 1505, 540, 14236, 2168, 2055, 267, 519, 9998, 3156, 540, 799, 3100, 547, 723, 1044, 6700, 676, 519, 1353, 540, 519, 21513, 540, 12673, 543, 519, 2079, 540, 891, 21513, 883, 741, 4909, 3159, 543, 922, 2800, 9582, 610, 936, 2023, 525, 780, 763, 5163, 540, 513, 7833, 21401, 5569, 6378, 693, 1312, 7475, 568, 513, 13350, 5163, 282, 602, 568, 547, 2161, 267, 1310, 513, 1978, 8884, 540, 942, 267, 1572, 519, 4909, 1974, 540, 519, 5163, 267, 519, 1106, 540, 519, 5569, 543, 519, 6991, 540, 1169, 851, 540, 621, 616, 519, 1482, 607, 1354, 267, 3177, 602, 519, 1648, 540, 519, 5163, 814, 711, 1044, 2283, 4601, 26632, 730, 1282, 519, 1974, 780, 2467, 616, 1079, 3982, 2409, 540, 14236, 519, 5163, 540, 513, 7833, 21401, 5569, 269, 2290, 540, 891, 949, 581, 1572, 519, 5951, 1505, 267, 543, 519, 824, 519, 23191, 1505, 269, 634, 5951, 1505, 568, 8547, 593, 519, 11532, 602, 538, 513, 21401, 5569, 540, 12808, 3259, 513, 5951, 540, 1022, 1106, 949, 581, 9070, 730, 538, 2901, 4287, 609, 513, 1978, 6991, 267, 966, 267, 799, 649, 949, 5581, 607, 519, 968, 767, 6290, 540, 18640, 1848, 1403, 513, 5951, 540, 1022, 1106, 21409, 538, 519, 2318, 4287, 10742, 1776, 21409, 538, 519, 6587, 4287, 267, 519, 1106, 540, 799, 568, 971, 602, 519, 3515, 11836, 7222, 2798, 540, 519, 1079, 6329, 616, 782, 20312, 624, 539, 538, 513, 6378, 1448, 538, 519, 1899, 540, 519, 5569, 267, 1287, 519, 1448, 540, 519, 5569, 7222, 547, 713, 1448, 786, 2611, 6378, 267, 1247, 519, 1079, 6329, 1780, 621, 538, 6587, 8846, 269, 1403, 649, 1631, 15475, 602, 519, 1106, 540, 519, 6329, 21409, 538, 519, 2318, 4287, 568, 13350, 267, 602, 568, 547, 2161, 267, 602, 1310, 519, 5951, 814, 24964, 4464, 513, 3845, 561, 267, 519, 2990, 540, 1169, 9325, 540, 519, 5569, 568, 519, 1482, 607, 621, 729, 693, 1101, 267, 1287, 561, 568, 1572, 519, 5951, 27480, 267, 543, 519, 942, 540, 21409, 513, 5951, 27480, 568, 1572, 519, 13350, 942, 267, 799, 649, 4927, 20301, 676, 570, 267, 865, 602, 561, 815, 966, 307, 780, 2252, 649, 1631, 15475, 513, 1305, 540, 6329, 2147, 547, 891, 267, 855, 20328, 538, 2990, 267, 547, 581, 21409, 538, 519, 6587, 4287, 267, 972, 786, 581, 513, 3126, 540, 2798, 267, 11397, 476, 1321, 331, 689, 1142, 824, 267, 693, 799, 972, 786, 581, 1100, 5163, 540, 519, 5569, 282, 621, 786, 4061, 1118, 1100, 3017, 547, 519, 5163, 540, 519, 5569, 952, 649, 15475, 519, 5569, 3728, 2989, 547, 6378, 7028, 693, 1022, 1079, 540, 891, 2798, 267, 543, 649, 949, 1287, 15475, 519, 2694, 540, 519, 5569, 3564, 891, 2798, 547, 581, 6569, 267, 607, 621, 3112, 1860, 519, 5163, 540, 519, 851, 799, 568, 1063, 873, 269, 1284, 723, 3976, 8452, 693, 519, 2013, 540, 513, 7833, 5569, 21401, 1063, 1079, 6378, 7028, 267, 543, 649, 9959, 602, 519, 5163, 540, 519, 5569, 949, 581, 4625, 6719, 607, 519, 25739, 540, 1079, 5036, 540, 13350, 6329, 21409, 538, 6587, 8846, 267, 741, 5951, 2000, 9975, 1373, 2901, 7466, 519, 3845, 1063, 519, 6378, 2798, 610, 513, 1016, 20123, 2118, 540, 713, 5951, 27480, 267, 543, 519, 1106, 540, 891, 6329, 267, 1641, 547, 713, 2783, 267, 1373, 9985, 17062, 780, 2414, 1118, 519, 1966, 513, 17386, 835, 267, 649, 949, 15475, 519, 3355, 12761, 543, 6991, 540, 1169, 9325, 540, 519, 5569, 2016, 538, 2474, 540, 922, 3845, 689, 835, 1439, 540, 519, 5569, 267, 543, 689, 891, 1239, 621, 568, 2653, 547, 5173, 519, 1106, 799, 568, 1455, 547, 782, 519, 21409, 6329, 269, 634, 1106, 540, 519, 5569, 693, 1022, 7766, 942, 949, 1287, 581, 17429, 1027, 676, 12719, 519, 7158, 540, 519, 1079, 5036, 540, 6329, 693, 602, 942, 267, 543, 7623, 532, 741, 771, 2897, 906, 780, 13295, 538, 519, 5951, 1505, 519, 4890, 5163, 540, 519, 5569, 568, 2808, 607, 519, 25739, 540, 1079, 5951, 20517, 267, 9444, 540, 799, 568, 540, 3294, 267, 543, 1510, 519, 824, 267, 5812, 609, 519, 2783, 602, 519, 7475, 540, 519, 5569, 616, 6378, 269, 3962, 540, 519, 5951, 20517, 568, 13350, 609, 513, 5951, 27480, 3160, 547, 7466, 519, 3845, 1063, 519, 6378, 2798, 267, 543, 519, 835, 1305, 540, 6329, 568, 519, 9258, 540, 519, 824, 538, 2463, 540, 12761, 543, 6991, 543, 4287, 540, 18640, 282, 855, 267, 1641, 547, 891, 2175, 267, 519, 1106, 540, 519, 5951, 568, 9985, 17062, 269, 634, 5163, 540, 513, 9325, 540, 519, 5569, 267, 1373, 5462, 676, 519, 1079, 6329, 799, 1780, 936, 621, 538, 6587, 8846, 267, 568, 540, 606, 8449, 17062, 1826, 780, 1103, 519, 23191, 1505, 267, 593, 519, 824, 1688, 267, 519, 5163, 540, 519, 5569, 568, 9833, 607, 31903, 540, 513, 3126, 540, 5854, 2218, 20517, 630, 7538, 12331, 540, 19089, 1070, 799, 949, 581, 12808, 538, 1297, 267, 855, 1142, 540, 799, 568, 9985, 17386, 538, 1826, 267, 543, 568, 538, 1249, 513, 1880, 3070, 540, 519, 1966, 540, 519, 5163, 540, 513, 5569, 609, 922, 7475, 6378, 780, 288, 2241, 23191, 5163, 568, 3976, 3989, 676, 774, 1682, 517, 543, 570, 7159, 630, 31086, 476, 7871, 2567, 1765, 2691, 513, 1448, 1627, 7575, 25144, 538, 513, 5858, 267, 519, 13902, 1627, 303, 267, 6537, 689, 922, 2990, 693, 1022, 8216, 547, 513, 6378, 8006, 21191, 12664, 540, 519, 5858, 267, 12969, 338, 519, 8006, 538, 513, 1448, 623, 4171, 2990, 2242, 676, 513, 2241, 23191, 5163, 780, 763, 17931, 540, 513, 2241, 23191, 5163, 568, 519, 2039, 593, 835, 2427, 610, 519, 824, 540, 519, 1647, 1448, 540, 519, 1576, 780, 763, 1974, 540, 513, 2241, 23191, 5163, 568, 519, 942, 799, 1714, 22663, 689, 1022, 8216, 2394, 519, 3001, 15304, 1586, 7575, 538, 519, 1482, 4287, 998, 519, 1482, 2990, 780, 763, 5123, 540, 513, 2241, 23191, 5163, 693, 1022, 8216, 568, 519, 6824, 540, 519, 2898, 1974, 799, 814, 1714, 17863, 2094, 519, 3001, 15304, 2063, 5293, 998, 922, 1647, 2990, 538, 519, 2318, 4287, 780, 1103, 519, 2013, 540, 519, 21401, 5569, 267, 621, 568, 1152, 538, 1978, 1880, 2665, 602, 519, 5163, 540, 513, 9325, 540, 519, 5569, 568, 513, 2241, 23191, 5163, 269, 769, 891, 1880, 2665, 519, 1106, 540, 519, 5569, 693, 1022, 8216, 568, 602, 540, 513, 7455, 540, 521, 1149, 2348, 519, 1899, 11836, 519, 6378, 2798, 585, 922, 7852, 267, 543, 8429, 998, 891, 1079, 2798, 267, 543, 4061, 2348, 585, 922, 5951, 27480, 2901, 7466, 519, 3259, 540, 519, 5569, 610, 930, 1016, 20123, 2118, 540, 713, 5951, 27480, 269, 634, 17931, 540, 519, 7455, 540, 521, 1149, 568, 513, 2241, 23191, 1599, 540, 519, 942, 267, 519, 1974, 1373, 2901, 519, 4909, 1974, 610, 930, 1016, 20123, 2118, 540, 519, 4909, 1974, 269, 5272, 835, 540, 891, 12331, 540, 19089, 568, 29858, 2009, 676, 3294, 267, 543, 1022, 1297, 540, 873, 949, 30598, 10446, 540, 1142, 824, 780, 3528, 513, 1697, 16369, 540, 519, 3355, 17931, 543, 5123, 540, 1142, 540, 891, 12331, 540, 19089, 267, 865, 602, 741, 25739, 4927, 2099, 519, 3355, 1533, 540, 519, 5569, 267, 649, 3489, 513, 1007, 6041, 540, 519, 2898, 5163, 540, 519, 5569, 267, 538, 799, 621, 568, 2938, 547, 581, 519, 25739, 540, 513, 3126, 540, 2241, 23191, 21513, 4171, 5712, 616, 519, 4909, 1974, 543, 922, 1016, 20123, 328, 1255, 269, 634, 8990, 540, 519, 7586, 6421, 543, 11775, 540, 519, 1896, 2241, 23191, 21513, 865, 607, 547, 14183, 519, 3355, 2175, 568, 606, 1383, 540, 23191, 2079, 780, 2171, 723, 3976, 1079, 2409, 540, 6061, 519, 9864, 11186, 3830, 540, 519, 5163, 540, 513, 5569, 269, 634, 1101, 267, 799, 649, 723, 1572, 519, 5951, 1505, 267, 15225, 519, 3070, 538, 519, 1106, 5627, 606, 17062, 1599, 267, 519, 2470, 540, 799, 1590, 581, 5462, 689, 519, 3355, 2175, 269, 634, 2034, 267, 610, 23191, 1505, 267, 5012, 547, 513, 3126, 540, 2474, 5473, 521, 1149, 543, 5430, 1149, 267, 519, 14170, 540, 799, 723, 547, 581, 5462, 269, 634, 23191, 1505, 949, 581, 3989, 538, 513, 811, 2489, 6073, 607, 513, 1505, 676, 799, 519, 3070, 540, 1022, 4890, 1966, 949, 581, 5833, 607, 519, 2040, 610, 25739, 540, 513, 1297, 540, 2474, 267, 1142, 540, 799, 568, 513, 3070, 540, 513, 1880, 2013, 540, 519, 1966, 269, 634, 2470, 540, 891, 1880, 2665, 568, 3989, 676, 519, 2783, 602, 1022, 835, 540, 873, 1590, 581, 31669, 547, 1022, 824, 780, 763, 6310, 1449, 540, 17788, 2329, 568, 602, 519, 1648, 540, 519, 1062, 16109, 689, 1079, 540, 519, 2800, 9582, 4540, 1927, 568, 3160, 547, 519, 2040, 540, 519, 1648, 16109, 689, 519, 1079, 2800, 9582 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 23539, 2452, 1070, 1849, 8576, 630, 11675, 597, 529, 1070, 20031, 4536, 1222, 5369, 334, 543, 6828, 540, 12280, 630, 290, 832, 1515, 1040, 717, 4361, 729, 9930, 3990, 585, 7454, 3883, 540, 519, 5729, 476, 1220, 276, 676, 519, 3703, 3163, 11470, 5948, 269, 18328, 13177, 568, 21133, 17976, 337, 693, 519, 10228, 4139, 10418, 585, 14539, 5525, 563, 292, 569, 281, 898, 1131, 581, 4023, 547, 4766, 596, 607, 7168, 5969, 12967, 538, 2474, 540, 2324, 609, 1007, 2239, 3029, 267, 543, 4466, 3860, 543, 29426, 11507, 547, 519, 5467, 269, 16393, 586, 334, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 24464, 2089, 6756, 9045, 790, 257, 607, 851, 540, 834, 11227, 1315, 9045, 790, 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, 24531, 1323, 753, 328, 910, 634, 7581, 591, 30064, 540, 3979, 23205, 16161, 692, 8702, 267, 1762, 17701, 256, 4653, 267, 649, 2811, 25054, 593, 606, 3078, 3460, 998, 519, 1158, 540, 3979, 12563, 2145, 525, 267, 1141, 12325, 2097, 538, 782, 5546, 543, 7306, 269, 3776, 1445, 786, 581, 593, 835, 3226, 9159, 1915, 910, 1323, 753, 328, 267, 519, 16602, 17178, 256, 2913, 781, 4685, 883, 713, 10578, 1357, 540, 8941, 543, 10625, 741, 11580, 1927, 780, 6637, 476, 272, 281, 5808, 1772, 901, 29216, 6196, 30064, 888, 5785, 15365, 5331, 5870, 513, 17178, 945, 666, 856, 8243, 691, 4896, 256, 2334, 781, 938, 3659, 1323, 753, 328, 267, 513, 524, 7342, 4137, 1336, 538, 1082, 3979, 12563, 2984, 269, 1452, 6386, 723, 1044, 5293, 1524, 585, 5481, 676, 9952, 1650, 339, 25527, 1572, 17680, 1824, 630, 29455, 575, 872, 268, 2129, 1040, 1358, 1131, 7038, 24921, 609, 13858, 9035, 10023, 2831, 899, 21495, 267, 19246, 1862, 663, 9811, 267, 1256, 20151, 2439, 3719, 1934, 781, 1945, 4277, 281, 1100, 835, 2965, 5206, 1524, 1034, 540, 891, 2984, 2394, 1472, 513, 2540, 3516, 269, 6496, 621, 1611, 789, 4769, 1405, 2291, 1354, 1287, 286, 3502, 8209, 256, 4658, 4440, 3838, 873, 8231, 958, 1279, 1354, 789, 8694, 909, 538, 2835, 269, 898, 781, 1175, 899, 875, 596, 1522, 2671, 707, 5172, 24668, 610, 16168, 2833, 609, 2828, 543, 1920, 1510, 8380, 873, 593, 1957, 780, 6637, 476, 273, 281, 7316, 9894, 1323, 753, 328, 22067, 3245, 888, 5785, 19030, 7712, 972, 5749, 1405, 1022, 3504, 12591, 827, 1323, 753, 328, 267, 621, 781, 2182, 547, 2161, 4010, 950, 891, 2984, 3323, 269, 1717, 267, 2094, 2147, 8747, 2408, 2066, 1114, 4525, 540, 4000, 267, 4966, 3494, 789, 1223, 4266, 1394, 5553, 269, 12344, 789, 3459, 607, 5711, 5389, 1851, 2038, 1480, 2950, 267, 9687, 936, 9118, 3786, 13933, 17334, 896, 5182, 26569, 22839, 780, 5278, 5640, 849, 2303, 2009, 4296, 1063, 1323, 753, 328, 2984, 543, 3504, 4095, 5931, 1634, 607, 808, 31540, 24079, 269, 18838, 811, 982, 1079, 8536, 1296, 3516, 267, 891, 2984, 4183, 1585, 7068, 20515, 5837, 4245, 269, 1403, 3020, 267, 713, 4241, 3095, 1223, 1921, 2413, 19700, 547, 606, 6909, 5832, 540, 9423, 15198, 1394, 27453, 2439, 6637, 476, 274, 281, 1215, 10787, 13201, 1323, 753, 328, 13488, 539, 888, 14343, 692, 5978, 4739, 344, 27442, 1013, 573, 5869, 814, 6157, 20335, 1472, 256, 1635, 519, 476, 10204, 271, 338, 267, 20665, 20338, 5645, 1323, 753, 328, 2984, 2066, 519, 5836, 547, 519, 17113, 269, 1703, 267, 1007, 7648, 3576, 3597, 267, 16471, 2199, 4529, 543, 4654, 269, 1280, 1383, 267, 538, 12144, 10195, 267, 1323, 753, 328, 2968, 589, 2863, 27211, 267, 10452, 6237, 22463, 1247, 4509, 1010, 9759, 607, 513, 3090, 540, 7326, 543, 6043, 780, 1607, 3262, 9727, 519, 1379, 540, 9423, 711, 1152, 607, 9913, 855, 849, 607, 2686, 11091, 269, 4634, 9624, 4101, 6381, 267, 891, 8941, 15068, 267, 15268, 2943, 9363, 3020, 547, 741, 3312, 6891, 780, 6962, 281, 4208, 9701, 1284, 5516, 6168, 1323, 753, 328, 4653, 888, 24801, 13430, 24916, 1373, 1187, 543, 27093, 267, 4974, 1323, 753, 328, 11414, 721, 3407, 4245, 827, 1686, 267, 2528, 267, 543, 8103, 3294, 269, 3414, 6313, 1946, 1978, 4798, 13469, 11451, 267, 649, 2744, 4030, 883, 8471, 3344, 540, 1480, 2470, 269, 9578, 267, 1565, 827, 971, 3638, 6561, 11942, 2463, 543, 7071, 2509, 3309, 10080, 267, 5009, 13784, 543, 9322, 780, 11101, 267, 1169, 1434, 9661, 7512, 9345, 267, 5876, 267, 543, 2565, 3206, 1983, 269, 1306, 596, 1332, 4587, 267, 3314, 891, 15851, 2984, 23816, 569, 269, 9320, 14693, 267, 596, 3513, 1831, 513, 1650, 339, 11839, 3054, 267, 4687, 8941, 540, 1323, 753, 328, 609, 2104, 5481, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2691, 941, 1323, 753, 328, 2984, 2854, 888, 28893, 1650, 339, 25527, 2995, 2984, 827, 513, 15931, 17178, 3957, 1323, 753, 328, 269, 12321, 1328, 5206, 1524, 891, 2984, 827, 1323, 753, 328, 519, 17178, 2394, 827, 513, 4627, 1296, 3516, 269, 3657, 891, 519, 1482, 2984, 602, 1004, 5143, 538, 10120, 4639, 4000, 286, 12321, 1328, 2731, 6487, 269, 1809, 789, 616, 2757, 2984, 269, 3509, 1004, 1589, 891, 2984, 2097, 689, 2984, 602, 941, 5143, 513, 1360, 1279, 942, 3516, 563, 2710, 789, 2097, 689, 14418, 2984, 888, 3963, 798, 649, 1589, 891, 2984, 616, 865, 2025, 286, 4270, 267, 1004, 5143, 1360, 2147, 2984, 538, 6239, 4000, 543, 3162, 4000, 1932, 269, 1924, 519, 1004, 538, 1346, 2694, 540, 4000, 1590, 723, 1185, 942, 547, 1451, 519, 2984, 269, 2107, 6148, 519, 645, 656, 340, 4547, 891, 2984, 609, 873, 950, 789, 14612, 547, 6239, 4000, 543, 3162, 4000, 827, 476, 6110, 5084, 269, 25334, 4601, 519, 1323, 753, 328, 2984, 616, 1644, 547, 14418, 808, 31540, 24079, 689, 3127, 267, 799, 1004, 1101, 5206, 1524, 1472, 476, 4968, 7460, 563, 2304, 753, 328, 2984, 2097, 547, 3013, 454, 26807, 569, 1004, 941, 10213, 891, 1323, 753, 328, 2984, 538, 519, 476, 10204, 271, 338, 5084, 269, 1284, 917, 602, 939, 9476, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 2304, 753, 328, 12267, 257, 607, 851, 540, 834, 16300, 16337, 1315, 6181, 1742, 267, 3733, 2195, 267, 674, 1963, 1315, 3979, 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, 277, 269, 272, 700, 17614, 13543, 674, 5357, 299, 8582, 3633, 15760, 29206, 3722, 20937, 20591, 290, 4785, 31064, 692, 7072, 692, 2026, 6725, 2359, 5170, 547, 11457, 607, 1312, 606, 4081, 9015, 543, 513, 3318, 2259, 267, 621, 814, 1831, 5051, 1271, 585, 2344, 619, 547, 711, 1152, 4865, 513, 2620, 1620, 540, 13654, 2035, 855, 849, 547, 3251, 909, 3562, 15082, 609, 5969, 12967, 1382, 543, 2872, 3466, 269, 901, 3340, 513, 6422, 1565, 1604, 1141, 5171, 666, 9691, 5659, 1699, 1655, 2853, 267, 7521, 6932, 6436, 267, 543, 4019, 741, 1702, 998, 1483, 8996, 2013, 2090, 269, 769, 713, 1016, 15492, 267, 649, 2263, 875, 6220, 15872, 4553, 676, 7317, 5717, 883, 707, 6725, 2069, 610, 2866, 1982, 666, 6536, 971, 606, 1604, 267, 3056, 547, 8476, 8223, 543, 12802, 540, 1950, 6725, 3741, 780, 299, 15145, 22020, 692, 288, 1134, 2275, 2761, 539, 11000, 5036, 519, 3942, 585, 513, 11327, 7317, 4901, 676, 3246, 2796, 267, 9591, 1455, 2666, 267, 543, 10962, 4295, 2093, 269, 1677, 11694, 922, 7145, 267, 2015, 1519, 519, 1739, 3334, 538, 707, 6881, 1384, 272, 269, 20505, 281, 10670, 676, 24152, 2312, 3853, 585, 1018, 28752, 1058, 1491, 2476, 689, 519, 8400, 269, 1452, 1522, 1331, 16565, 1007, 1983, 267, 11543, 4030, 883, 3209, 4485, 267, 610, 3274, 17923, 4540, 1702, 269, 1635, 12799, 17548, 891, 6859, 693, 519, 856, 3553, 267, 596, 948, 1445, 5171, 262, 3007, 543, 3715, 6788, 585, 519, 8653, 540, 519, 11000, 563, 273, 269, 12745, 17553, 281, 6969, 11362, 883, 2930, 3877, 267, 1683, 930, 4282, 1344, 827, 519, 1888, 896, 7156, 269, 901, 949, 4125, 7234, 3140, 7835, 267, 1644, 10459, 267, 610, 12721, 5380, 269, 23560, 865, 2337, 2327, 602, 782, 28752, 2671, 513, 2596, 1377, 540, 23440, 609, 4143, 16166, 543, 2035, 267, 7551, 7175, 811, 6209, 6278, 1282, 7766, 5717, 563, 274, 269, 12474, 24822, 281, 4495, 596, 4312, 3964, 2796, 267, 8399, 609, 12419, 519, 1292, 1560, 540, 707, 11000, 269, 2142, 2386, 547, 10880, 513, 3666, 1063, 7811, 10850, 543, 4294, 1806, 267, 20515, 1883, 2798, 1210, 6405, 1239, 8164, 2009, 269, 2755, 8720, 513, 2647, 2039, 540, 1570, 568, 1898, 267, 2057, 11566, 9458, 609, 1932, 1454, 1344, 282, 3079, 267, 4225, 3178, 936, 4560, 950, 8939, 799, 3584, 547, 11168, 563, 275, 269, 12834, 1299, 2776, 1613, 281, 27870, 519, 1439, 540, 707, 11000, 267, 17412, 519, 1034, 32330, 2798, 543, 12744, 14232, 4901, 2055, 269, 901, 5713, 1079, 5301, 281, 1101, 267, 621, 2636, 5171, 547, 15508, 10891, 543, 30075, 519, 1702, 789, 4312, 9715, 3976, 2484, 282, 2034, 267, 621, 12958, 24736, 585, 519, 8521, 5765, 7317, 5057, 267, 4543, 2226, 15131, 543, 11610, 2429, 519, 3003, 8400, 780, 11328, 5562, 17564, 22020, 692, 2304, 2500, 7317, 4901, 6087, 6267, 547, 20920, 609, 1950, 6725, 2591, 267, 5385, 2093, 267, 543, 2992, 2390, 741, 1378, 10054, 543, 12886, 269, 3371, 616, 1896, 2994, 585, 14123, 4829, 995, 7391, 1851, 5171, 1384, 272, 269, 13419, 3293, 5999, 281, 13298, 982, 6998, 1930, 25804, 12987, 630, 324, 3052, 1421, 834, 1432, 798, 596, 1589, 827, 713, 8119, 1070, 10460, 6098, 2055, 2966, 547, 29360, 1808, 6114, 1644, 547, 519, 11000, 1543, 269, 6201, 1522, 1331, 912, 453, 265, 1215, 1281, 713, 1523, 8428, 689, 3105, 8847, 11402, 538, 824, 6030, 888, 453, 265, 2052, 4896, 1683, 606, 1383, 540, 875, 713, 3069, 1223, 581, 4294, 1369, 741, 3919, 888, 453, 265, 1548, 1761, 7687, 610, 19363, 2291, 585, 7598, 713, 4640, 888, 453, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 15812, 7566, 5004, 257, 5497, 585, 4648, 543, 3173, 538, 519, 2361, 563, 2171, 723, 2907, 4988, 3184, 4433, 264, 834, 272, 269, 4985, 547, 16373, 5004, 2580, 834, 273, 269, 16373, 15613, 2580, 834, 274, 269, 16373, 12793, 2580, 834, 275, 269, 16373, 16610, 543, 13088, 2580, 834, 276, 269, 6355, 22830, 4886, 257, 543, 616, 1631, 1603, 513, 3184, 593, 834, 277, 269, 20308, 9181, 687, 8487, 2791, 786, 581, 1603, 519, 1101, 1016, 15492, 585, 713, 3184, 563, 2237, 519, 1007, 1016, 15492, 11331, 834, 277, 269, 272, 269, 17976, 4553, 676, 7317, 4901, 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, 763, 1543, 1058, 2832, 547, 4497, 513, 3810, 18164, 5304, 609, 1360, 2620, 6791, 538, 519, 1888, 269, 3417, 2565, 2079, 540, 2487, 1382, 4681, 543, 9840, 538, 519, 2361, 269, 0, 6092, 5149, 281, 4197, 519, 4279, 9628, 9605, 540, 476, 6942, 272, 910, 15486, 267, 28620, 267, 543, 6181, 9313, 692, 7072, 912, 763, 4279 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 645, 4916, 267, 543, 22680, 293, 269, 13555, 519, 10672, 585, 811, 1344, 952, 596, 2461, 18516, 269, 0, 2171, 2461, 1934, 547, 948, 256, 8187, 962, 1841, 568, 513, 4625, 1863, 3896, 602, 568, 476, 1911, 260, 6131, 547, 4543, 596, 1711, 513, 7320, 7888, 267, 4264, 13452, 269, 3367, 811, 454, 15371, 596, 2461, 513, 1753, 27697, 945, 14560, 5986, 609, 4195, 5820, 610, 513, 1007, 32529, 3168, 585, 1945, 602, 779, 711, 1932, 2182, 547, 1332, 267, 14274, 616, 519, 3501, 2030, 585, 596, 269, 1452, 4677, 29202, 616, 865, 2653, 547, 1376, 689, 5452, 267, 543, 789, 2154, 1360, 2370, 1416, 2899, 789, 2461, 856, 538, 519, 4677, 269, 12769, 31531, 267, 2705, 267, 789, 666, 2887, 10352, 547, 7786, 269, 1403, 596, 5469, 2699, 12961, 593, 16603, 2371, 538, 707, 18147, 267, 596, 949, 581, 11842, 1018, 789, 616, 543, 875, 596, 666, 1205, 7759, 540, 873, 1354, 789, 6146, 707, 7031, 563, 17829, 2370, 2699, 7786, 593, 707, 14274, 616, 4440, 30293, 610, 17178, 21746, 269, 1452, 18682, 1606, 31902, 10860, 8934, 527, 1125, 519, 2371, 267, 8023, 593, 741, 2030, 1426, 269, 6164, 532, 519, 2371, 609, 2067, 13851, 543, 16089, 23246, 7786, 666, 948, 10994, 519, 1966, 563, 1692, 666, 596, 2995, 952, 707, 16603, 2371, 616, 1102, 6479, 609, 12961, 888, 2414, 3313, 2436, 610, 711, 596, 723, 2699, 12961, 593, 16603, 2371, 538, 707, 4677, 267, 581, 2386, 547, 4983, 519, 2371, 5702, 269, 8844, 519, 16714, 9900, 543, 2638, 585, 6263, 6505, 2699, 1179, 802, 269, 1403, 519, 23588, 568, 7646, 267, 596, 949, 711, 1265, 519, 7786, 2933, 269, 5502, 267, 596, 949, 1152, 1294, 4191, 602, 789, 4076, 1044, 972, 563, 7021, 942, 267, 7786, 632, 10968, 16603, 2371, 540, 741, 5567, 267, 4611, 538, 5835, 532, 16714, 267, 8768, 2530, 267, 543, 6978, 5884, 3724, 269, 6884, 891, 26240, 5652, 12961, 3049, 593, 519, 16603, 5613, 2933, 267, 4929, 873, 547, 2887, 1055, 1354, 596, 1205, 513, 4960, 547, 7556, 873, 585, 3054, 269, 1403, 707, 16603, 2371, 5749, 1406, 7900, 607, 1134, 607, 789, 1058, 267, 7786, 616, 519, 2693, 27521, 563, 1432, 616, 1346, 2699, 12961, 593, 707, 16603, 2371, 888, 2467, 616, 1896, 2010, 540, 2699, 12961, 602, 899, 547, 3049, 593, 16603, 2371, 269, 18833, 519, 3604, 1063, 873, 786, 948, 596, 2697, 873, 543, 1521, 873, 14013, 269, 2422, 513, 8755, 2775, 543, 513, 3172, 4328, 4837, 543, 1491, 513, 1434, 1413, 693, 707, 16603, 2371, 269, 3973, 1294, 952, 596, 5431, 519, 1739, 7786, 563, 288, 874, 1749, 630, 288, 874, 529, 24094, 8094, 3080, 540, 519, 1034, 1455, 4677, 10860, 267, 30293, 616, 1507, 18682, 1606, 31902, 7786, 602, 666, 798, 1713, 3441, 952, 2451, 15860, 269, 1452, 26240, 5652, 12961, 786, 10352, 593, 1175, 827, 1022, 2030, 267, 1519, 18717, 267, 31480, 267, 21453, 571, 267, 23601, 267, 543, 536, 758, 669, 1195, 269, 1358, 849, 899, 547, 3049, 593, 4829, 4054, 267, 2523, 19790, 976, 543, 13212, 563, 2005, 779, 711, 16613, 547, 1265, 2699, 30293, 593, 16603, 2371, 269, 21058, 30293, 666, 2285, 2661, 4332, 547, 562, 8233, 338, 267, 799, 949, 849, 581, 9176, 2443, 606, 9542, 1572, 968, 339, 10061, 14563, 5481, 6100, 10251, 267, 713, 1797, 602, 30293, 666, 16196, 693, 606, 24034, 2557, 563, 288, 874, 1749, 8853, 538, 22465, 16374, 267, 865, 596, 2461, 811, 2693, 547, 1294, 606, 21428, 573, 12176, 538, 5614, 610, 2887, 950, 519, 4365, 568, 16830, 269, 16989, 30293, 786, 2482, 5798, 936, 519, 5162, 865, 519, 23588, 666, 3136, 563, 288, 874, 1749, 616, 827, 519, 2450, 540, 513, 8930, 3650, 267, 799, 2306, 873, 2352, 547, 5544, 8259, 789, 7249, 26021, 269, 2422, 513, 8755, 2775, 547, 19542, 998, 1367, 3762, 543, 1413, 585, 3001, 20224, 269, 1411, 949, 849, 5469, 17605, 593, 707, 14274, 269, 589, 874, 1749, 1711, 513, 24494, 6219, 1572, 968, 327, 2292, 323, 1168, 892, 602, 17605, 1175, 2648, 267, 865, 621, 779, 711, 8966, 547, 1294, 1312, 540, 891, 7786, 32415, 707, 14274, 693, 519, 1482, 942, 563, 8967, 3187, 21746, 630, 307, 564, 337, 1415, 577, 639, 2712, 6776, 2801, 994, 10214, 1498, 17178, 21746, 616, 1175, 607, 6263, 607, 30293, 267, 17178, 544, 924, 28383, 616, 2356, 4443, 547, 2697, 269, 2334, 779, 1317, 17178, 21746, 1711, 3103, 593, 519, 9207, 1938, 540, 3762, 543, 1063, 3762, 543, 11710, 269, 1358, 946, 891, 3103, 547, 2149, 2933, 689, 11975, 267, 543, 952, 519, 23588, 568, 4049, 2614, 267, 707, 16603, 2371, 949, 581, 4988, 538, 873, 563, 8967, 3187, 21746, 616, 2356, 6505, 2699, 267, 855, 789, 666, 849, 581, 1336, 538, 824, 4778, 267, 1519, 6960, 267, 5835, 267, 10538, 267, 543, 3039, 269, 21058, 17178, 21746, 666, 2482, 5798, 693, 1175, 476, 276, 2395, 2025, 267, 543, 789, 666, 2482, 909, 547, 476, 736, 5798, 513, 1554, 269, 5221, 789, 666, 16196, 865, 6385, 267, 17178, 21746, 616, 2111, 547, 3082, 3533, 547, 1034, 13851, 563, 10303, 17178, 21746, 543, 30293, 616, 10199, 519, 1482, 2450, 267, 621, 666, 581, 2352, 547, 10646, 1063, 519, 1079, 269, 9521, 30293, 267, 17178, 21746, 4782, 3905, 267, 3819, 4365, 269, 1924, 596, 2461, 1454, 811, 2693, 547, 1294, 513, 17178, 544, 924, 23588, 538, 519, 3735, 4832, 3275, 563, 8867, 2378, 20356, 539, 17079, 562, 8233, 338, 630, 288, 4754, 628, 334, 576, 874, 8403, 24094, 8094, 3849, 738, 6978, 20356, 539, 12961, 1223, 2760, 581, 11821, 585, 30293, 610, 17178, 21746, 2094, 789, 2461, 711, 2699, 543, 789, 6157, 5749, 1406, 2370, 269, 1452, 1804, 18682, 1606, 31902, 7786, 616, 3109, 267, 6960, 267, 543, 4158, 12457, 538, 2681, 609, 1279, 13494, 333, 2801, 267, 1804, 1394, 7953, 267, 543, 12209, 269, 1809, 519, 562, 8233, 338, 540, 713, 2249, 616, 1507, 543, 2699, 267, 543, 789, 899, 547, 31770, 1472, 16603, 2371, 563, 8867, 2378, 20356, 539, 17079, 562, 8233, 338, 616, 7168, 17559, 3168, 269, 4256, 4703, 616, 6505, 5835, 267, 10538, 267, 610, 2699, 267, 543, 789, 723, 1279, 267, 3109, 7953, 602, 795, 583, 856, 693, 9642, 7285, 269, 1358, 666, 581, 796, 333, 6326, 267, 855, 952, 519, 2551, 568, 1507, 2614, 267, 789, 4465, 1406, 798, 1454, 2800, 269, 23516, 20356, 539, 17079, 562, 8233, 338, 723, 6263, 533, 4532, 619, 267, 799, 789, 946, 547, 533, 15127, 14274, 269, 15394, 267, 789, 3548, 741, 6445, 6028, 1152, 513, 6263, 5835, 5544, 3297, 593, 519, 4829, 563, 8867, 2378, 20356, 539, 17079, 562, 8233, 338, 616, 2653, 547, 1265, 269, 1358, 2268, 1472, 476, 414, 483, 505, 547, 476, 26528, 10759, 538, 3259, 267, 543, 789, 4043, 547, 2951, 538, 2516, 267, 799, 849, 2306, 873, 4443, 547, 5544, 269, 1403, 596, 5469, 513, 2603, 540, 6978, 20356, 539, 562, 8233, 338, 267, 610, 952, 596, 1265, 3368, 3887, 22760, 267, 4232, 1154, 5613, 593, 519, 2666, 538, 707, 4677, 267, 596, 3580, 991, 547, 1491, 3800, 547, 3142, 519, 2551, 1394, 1524, 563, 21760, 5964, 15837, 27134, 562, 8233, 338, 630, 8867, 696, 514, 582, 1513, 320, 13587, 332, 1467, 1092, 994, 21760, 5964, 15837, 22404, 616, 1507, 10538, 543, 3109, 4174, 6244, 22404, 602, 2268, 1472, 476, 26528, 547, 476, 414, 483, 506, 10759, 538, 3259, 269, 4014, 789, 4782, 547, 28117, 15837, 7031, 267, 538, 519, 9000, 540, 12277, 267, 789, 3580, 25747, 15890, 824, 17334, 327, 3547, 267, 1519, 18717, 267, 4212, 17852, 267, 543, 267, 540, 1576, 267, 14274, 563, 3849, 738, 12548, 15837, 22404, 5749, 1406, 2699, 267, 855, 741, 562, 8233, 338, 616, 269, 715, 8233, 338, 24011, 689, 6505, 5835, 5798, 13883, 593, 519, 9207, 1938, 540, 3762, 269, 1715, 16793, 616, 3109, 543, 6960, 267, 855, 2490, 2699, 607, 789, 1332, 269, 3807, 1354, 7782, 566, 267, 519, 12548, 15837, 27134, 562, 8233, 338, 1689, 3337, 267, 4742, 28608, 543, 7432, 811, 10538, 982, 2699, 563, 7712, 12548, 15837, 27134, 562, 8233, 338, 616, 10169, 17031, 267, 621, 779, 2653, 547, 25657, 873, 585, 14799, 30471, 269, 2142, 2386, 547, 5595, 27902, 547, 1118, 2386, 596, 917, 799, 1826, 540, 17079, 568, 4259, 909, 6300, 593, 707, 16603, 2371, 269, 1403, 596, 798, 723, 513, 12548, 15837, 27134, 23588, 267, 596, 3580, 991, 547, 957, 3728, 547, 562, 760, 621, 538, 519, 5229, 563, 275, 18467, 547, 1205, 7759, 540, 2699, 12961, 593, 16603, 2371, 454, 2252, 707, 16603, 2371, 616, 4730, 3984, 547, 19421, 540, 2699, 12961, 267, 972, 616, 1919, 596, 666, 798, 547, 948, 269, 3371, 616, 476, 275, 2081, 547, 1205, 7759, 540, 1346, 21898, 16341, 7786, 1354, 789, 798, 1022, 811, 3441, 547, 707, 16603, 7031, 563, 295, 846, 519, 2371, 1055, 454, 763, 1655, 1259, 547, 1205, 7759, 540, 7786, 568, 547, 9308, 4894, 873, 269, 1403, 596, 1152, 723, 513, 1906, 12961, 15720, 538, 1063, 707, 16603, 2030, 779, 16714, 267, 1287, 596, 666, 4584, 873, 1055, 676, 1688, 1210, 513, 6292, 540, 17408, 14162, 619, 269, 1809, 952, 519, 2371, 616, 4988, 609, 7786, 267, 554, 3151, 873, 1524, 666, 948, 563, 8196, 513, 4677, 25652, 10936, 518, 593, 513, 15191, 4259, 547, 3196, 519, 12961, 1055, 540, 519, 3762, 269, 2142, 2386, 547, 25652, 1524, 519, 9207, 1938, 540, 519, 3762, 607, 1134, 607, 519, 25568, 267, 543, 10936, 538, 519, 1212, 341, 1182, 540, 519, 11710, 267, 1932, 269, 28528, 6299, 519, 3762, 538, 1063, 707, 11263, 547, 948, 2736, 909, 1022, 16793, 610, 5798, 602, 949, 581, 15720, 972, 563, 7712, 6028, 1216, 9361, 593, 707, 2030, 779, 16714, 16074, 666, 1291, 547, 8869, 344, 7646, 1168, 267, 649, 4363, 1152, 554, 3151, 707, 14274, 1524, 538, 519, 6640, 269, 901, 1259, 267, 519, 4430, 1216, 814, 7899, 540, 942, 547, 18493, 622, 1354, 519, 3141, 4422, 1524, 563, 7343, 569, 513, 2067, 5521, 8336, 454, 5475, 596, 4076, 554, 2216, 1055, 707, 16603, 2371, 267, 4019, 519, 5521, 8336, 540, 707, 3903, 269, 4595, 10792, 3114, 13851, 666, 723, 14042, 2360, 593, 2199, 13520, 5095, 267, 649, 9244, 4363, 1210, 19471, 5521, 28084, 1218, 609, 7646, 518, 5820, 269, 7849, 5521, 15969, 4465, 1406, 2800, 25199, 610, 707, 2371, 269, 1809, 789, 786, 6146, 519, 5798, 267, 16793, 267, 543, 2937, 10641, 338, 540, 14124, 5521, 2249, 563, 13706, 13959, 9544, 454, 25402, 6737, 13959, 2371, 899, 24958, 543, 669, 1161, 948, 1065, 601, 2699, 12961, 6923, 269, 634, 7786, 13842, 519, 2178, 9329, 540, 891, 2653, 21212, 11922, 269, 11531, 267, 5810, 899, 562, 770, 4669, 1756, 338, 666, 581, 1031, 607, 15972, 7031, 269, 1635, 9544, 891, 5810, 2282, 707, 14274, 267, 596, 666, 31818, 519, 2699, 12961, 685, 3007, 2476, 689, 707, 5388, 543, 2285, 873, 1945, 3116, 547, 15165, 593, 3079, 563, 3725, 3161, 23246, 7786, 454, 15371, 596, 2461, 3843, 547, 7485, 519, 26039, 593, 513, 3978, 5521, 23588, 610, 1175, 3843, 547, 2061, 835, 689, 8345, 267, 16089, 23246, 7786, 568, 513, 5100, 1847, 269, 15248, 30471, 267, 30824, 342, 902, 267, 543, 26220, 729, 1186, 786, 25747, 1085, 712, 707, 4677, 585, 14124, 7786, 543, 1205, 7759, 540, 873, 865, 596, 1810, 1406, 723, 547, 269, 1280, 1655, 2164, 267, 5305, 23246, 7786, 538, 707, 4677, 693, 2547, 2899, 513, 1032, 2443, 2899, 538, 519, 5614, 267, 547, 948, 9856, 707, 19155, 267, 543, 1586, 538, 544, 1749, 28026, 547, 9856, 707, 5613, 543, 19787, 1247, 789, 1332, 563, 5415, 4388, 585, 5329, 707, 16603, 2371, 2635, 454, 27407, 267, 519, 1655, 1259, 547, 1832, 707, 16603, 2371, 17079, 6954, 568, 676, 5329, 873, 607, 2635, 607, 2009, 269, 1656, 596, 666, 798, 602, 676, 5870, 782, 540, 519, 2030, 779, 3395, 4170, 269, 7233, 707, 14274, 538, 10690, 267, 22501, 3138, 600, 3037, 609, 513, 5594, 15755, 9063, 540, 476, 277, 269, 271, 547, 476, 277, 269, 276, 269, 5269, 2386, 789, 1205, 693, 2547, 476, 277, 3108, 540, 7943, 1169, 1554, 267, 543, 2285, 873, 606, 10759, 540, 1216, 829, 3018, 547, 1832, 519, 3037, 5848, 267, 855, 711, 521, 25891, 6632, 563, 3528, 4543, 707, 14274, 1205, 3323, 593, 519, 1318, 3723, 267, 543, 676, 5466, 1022, 5521, 28383, 3533, 267, 596, 666, 1832, 873, 2635, 865, 596, 1205, 7899, 540, 14274, 547, 2972, 693, 519, 1439, 540, 519, 3395, 4005, 269, 0, 289, 4490, 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 ]
[ 2831, 1705, 711, 1589, 4376, 540, 621, 269, 769, 519, 3209, 540, 10960, 12426, 267, 6723, 2107, 6202, 646, 4941, 547, 1397, 875, 513, 3209, 568, 606, 14336, 800, 540, 519, 3510, 538, 6576, 1282, 519, 21340, 1296, 543, 513, 24337, 540, 519, 2797, 3510, 693, 602, 942, 1063, 19167, 543, 23237, 269, 5221, 540, 875, 6004, 269, 1358, 1185, 3323, 519, 31811, 540, 519, 2842, 17524, 519, 1554, 1310, 519, 11802, 16873, 941, 8694, 269, 2107, 6202, 3762, 519, 1433, 1930, 547, 1082, 12496, 540, 2436, 519, 32574, 729, 1434, 610, 3983, 585, 519, 2197, 543, 519, 1158, 563, 26213, 518, 267, 1849, 1478, 769, 6723, 2107, 6202, 781, 10960, 12426, 454, 10144, 1058, 3972, 5718, 855, 1832, 4585, 593, 621, 269, 634, 2831, 6430, 547, 4339, 585, 741, 5191, 543, 1491, 519, 3484, 689, 519, 11830, 5367, 8227, 267, 6004, 269, 19167, 4564, 519, 18348, 2797, 28983, 602, 723, 1044, 538, 1379, 1354, 543, 1256, 1310, 519, 3209, 729, 2854, 269, 4208, 1281, 19167, 3494, 646, 568, 12955, 286, 1261, 14659, 602, 1932, 1454, 10761, 7282, 4125, 906, 538, 519, 4838, 1131, 1152, 1291, 547, 9933, 725, 543, 14922, 906, 269, 13518, 899, 519, 3197, 538, 519, 1433, 10960, 12426, 269, 1717, 267, 13340, 518, 1568, 9875, 982, 1022, 824, 3662, 593, 519, 3484, 547, 2327, 3388, 4422, 593, 1134, 1510, 5360, 8724, 269, 1215, 3509, 13340, 619, 5620, 667, 1221, 538, 519, 23580, 286, 898, 568, 12926, 6854, 593, 4672, 543, 568, 1031, 547, 3579, 519, 1858, 540, 513, 20015, 1047, 610, 513, 2759, 676, 7311, 1463, 2604, 547, 6175, 519, 1973, 2095, 547, 519, 1858, 563, 1432, 1281, 519, 2669, 540, 13340, 518, 2099, 538, 10960, 12426, 888, 763, 2831, 4166, 3494, 602, 19167, 568, 2141, 1318, 269, 769, 3932, 267, 835, 6249, 540, 713, 1433, 568, 7103, 786, 1689, 741, 2713, 6163, 1759, 593, 519, 1604, 543, 5507, 10953, 519, 6249, 676, 1210, 1138, 850, 543, 608, 12000, 3130, 269, 13643, 1373, 606, 14336, 800, 585, 595, 345, 541, 22956, 4083, 543, 11338, 519, 3484, 568, 5921, 547, 2099, 6576, 269, 5131, 10749, 910, 10960, 12426, 1323, 2296, 5856, 676, 519, 2012, 540, 6723, 2107, 6202, 3370, 513, 1433, 538, 476, 3707, 274, 267, 1572, 10960, 12426, 269, 5903, 540, 7972, 1813, 547, 7063, 13455, 538, 4216, 532, 11261, 540, 4339, 8745, 11534, 9426, 476, 1428, 2904, 476, 3422, 272, 16452, 23720, 1325, 2405, 3757, 334, 476, 2190, 3057, 476, 3422, 273, 18581, 623, 15756, 2506, 850, 26186, 603, 476, 2641, 3057, 476, 3422, 274, 25272, 344, 18703, 17491, 10548, 657, 476, 1556, 3057, 476, 3422, 280, 21853, 5341, 3204, 529, 15608, 645, 1872, 1676, 1548, 568, 519, 4496, 3364, 789, 2322, 593, 4216, 619, 8188, 286, 2107, 6202, 5206, 713, 543, 1082, 824, 2835, 607, 21855, 269, 1548, 4523, 547, 13340, 518, 286, 7053, 646, 3096, 13340, 518, 781, 3668, 540, 1582, 268, 32474, 2059, 609, 1010, 2669, 547, 1397, 1010, 14255, 633, 1399, 2509, 18468, 538, 606, 5621, 745, 2065, 6228, 563, 13625, 2201, 13340, 518, 769, 10960, 12426, 454, 27154, 12426, 15557, 5811, 476, 14093, 271, 9293, 476, 276, 9664, 10960, 12426, 2982, 835, 1463, 5718, 2429, 519, 1433, 855, 7083, 540, 519, 4469, 625, 2982, 513, 3586, 1379, 1689, 1063, 519, 3197, 538, 519, 1433, 267, 799, 5012, 547, 1114, 6163, 540, 5718, 799, 941, 1312, 6225, 543, 5739, 585, 741, 6668, 269, 1261, 729, 849, 835, 540, 519, 1034, 8149, 540, 782, 519, 2831, 269, 769, 10960, 12426, 267, 13340, 518, 945, 568, 849, 1634, 607, 513, 960, 1817, 572, 568, 513, 1360, 2178, 1915, 945, 10953, 606, 7920, 2324, 2802, 545, 269, 13340, 518, 568, 2366, 547, 519, 15441, 12051, 268, 519, 14918, 1767, 789, 1131, 6494, 1864, 547, 513, 1480, 6413, 267, 543, 602, 646, 5747, 10213, 590, 4302, 29993, 540, 519, 1350, 648, 529, 540, 10960, 12426, 269, 634, 1404, 540, 6723, 2107, 6202, 781, 10960, 3484, 269, 594, 1131, 899, 547, 1118, 713, 883, 513, 1650, 1141, 1169, 3662, 1568, 8449, 563, 305, 1961, 2986, 13340, 518, 769, 10960, 12426, 454, 5475, 1296, 540, 5134, 13015, 519, 2831, 6430, 547, 4339, 1394, 269, 634, 8187, 1401, 12000, 3130, 476, 275, 2537, 9293, 476, 273, 9664, 3767, 646, 568, 856, 540, 519, 3552, 543, 4339, 899, 513, 28458, 269, 19627, 267, 519, 1433, 1379, 2685, 23327, 1883, 5515, 602, 723, 7902, 538, 1686, 269, 2311, 519, 11135, 540, 519, 595, 3298, 1117, 267, 13340, 518, 18327, 547, 581, 513, 3407, 17199, 267, 5679, 12177, 513, 7123, 1532, 1195, 17499, 609, 1010, 22800, 11876, 1993, 269, 2107, 6202, 2893, 2231, 519, 4473, 543, 7771, 540, 25847, 538, 519, 8168, 5742, 543, 519, 11944, 540, 519, 2698, 9107, 12512, 540, 9478, 23237, 269, 898, 729, 1101, 3370, 538, 476, 3707, 276, 269, 769, 10960, 12426, 267, 972, 616, 476, 273, 2101, 3197, 602, 616, 9763, 607, 3401, 540, 606, 4789, 3484, 563, 27154, 12426, 13340, 518, 4828, 454, 26213, 518, 15055, 547, 6529, 609, 1018, 646, 814, 585, 3236, 267, 834, 14367, 1079, 1793, 690, 753, 1412, 296, 786, 960, 9875, 262, 543, 1412, 301, 777, 1961, 517, 568, 2141, 1318, 262, 8604, 547, 1864, 513, 6190, 2626, 547, 782, 1010, 2042, 269, 13340, 518, 543, 16176, 4252, 1831, 16618, 269, 1733, 558, 1705, 13340, 518, 16620, 585, 519, 4291, 1903, 286, 2107, 6202, 8359, 547, 2099, 6576, 781, 1614, 4583, 3401, 1282, 713, 942, 609, 1614, 14918, 269, 3571, 8375, 2038, 547, 960, 593, 519, 3484, 543, 1010, 2123, 12366, 2443, 834, 296, 786, 960, 9875, 257, 2443, 7866, 1010, 20174, 547, 519, 2831, 262, 2014, 269, 623, 12127, 2879, 2255, 909, 713, 4316, 543, 1831, 519, 8789, 2249, 593, 713, 3484, 269, 4208, 568, 519, 1650, 540, 4216, 518, 3226, 13249, 286, 634, 1650, 10741, 593, 2494, 528, 12426, 267, 606, 2296, 3484, 11262, 543, 13234, 269, 0, 295, 558, 652, 1737, 4574, 269, 13067, 652, 1737, 1401, 3319, 687, 281, 9502, 543, 1215, 621, 3718, 267, 2060, 3557, 5903, 476, 1708, 273, 268, 1015, 268, 1839, 454, 295, 558, 652, 1737, 4574, 28951, 912, 295, 558, 652, 1737, 4574, 267, 849, 1634, 607, 4630, 652, 1737, 6411, 267, 941, 513, 3126, 540, 4031, 5293, 676, 519, 2136, 2276, 2229, 538, 519, 476, 866, 628, 543, 2038, 476, 736, 628, 5553, 602, 11292, 1863, 2244, 547, 13896, 945, 941, 8348, 547, 1020, 543, 11349, 621, 269, 1452, 4031, 941, 5497, 547, 5000, 31023, 7269, 543, 3895, 519, 1646, 540, 1007, 2829, 538, 519, 1977, 4639, 563, 763, 1101, 4630, 652, 1737, 957, 729, 5293, 538, 476, 5908, 273, 267, 1282, 519, 6406, 2782, 269, 898, 11292, 476, 8182, 14143, 540, 2244, 547, 1022, 2937, 12504, 610, 5497, 12504, 945, 1185, 2760, 3144, 909, 7916, 1996, 519, 2136, 2276, 267, 543, 945, 729, 8348, 547, 2661, 593, 543, 11349, 519, 2244, 585, 513, 1974, 540, 2947, 1296, 269, 901, 957, 729, 6322, 693, 8716, 11175, 538, 519, 7262, 11182, 267, 799, 941, 7361, 3768, 324, 975, 539, 693, 519, 942, 563, 7021, 519, 1985, 1896, 5756, 267, 1896, 824, 4630, 652, 1737, 6411, 941, 5293, 267, 1142, 609, 5594, 1114, 14074, 269, 2368, 6411, 11292, 2244, 547, 18884, 267, 610, 547, 11097, 3298, 543, 610, 874, 753, 540, 18884, 269, 11524, 3177, 2244, 547, 13896, 945, 941, 8348, 547, 1628, 12555, 1949, 610, 4497, 538, 824, 2010, 540, 1646, 563, 8601, 519, 1761, 2640, 540, 519, 4630, 652, 1737, 6411, 267, 789, 941, 849, 519, 1641, 540, 1454, 15784, 269, 3509, 7111, 1977, 11031, 4718, 519, 27614, 540, 3043, 13896, 607, 513, 3463, 547, 741, 2244, 543, 1259, 540, 1272, 267, 543, 519, 4630, 652, 1737, 6411, 941, 2938, 607, 513, 1907, 540, 19525, 543, 7006, 1601, 11970, 269, 2368, 13915, 849, 11130, 602, 519, 4630, 652, 1737, 6411, 941, 15490, 569, 21678, 538, 3870, 540, 3043, 13896, 267, 543, 602, 789, 1705, 2370, 547, 948, 4057, 610, 12102, 2516, 563, 8601, 891, 30852, 267, 519, 4630, 652, 1737, 6411, 5129, 513, 1713, 1909, 538, 519, 1646, 540, 519, 1977, 4639, 269, 1358, 4547, 6634, 540, 13896, 547, 519, 3148, 267, 543, 5280, 547, 1628, 519, 5989, 543, 4346, 602, 649, 1294, 2221, 269, 4653, 267, 519, 9371, 540, 519, 4630, 652, 1737, 6411, 568, 15422, 1312, 607, 513, 3090, 540, 1977, 7269, 543, 607, 513, 12576, 540, 519, 1950, 543, 1419, 30223, 1686, 540, 519, 1977, 4639, 563, 309, 597, 6265, 807, 13067, 652, 1737, 1401, 18277, 4813, 454, 23777, 1227, 267, 596, 786, 581, 14718, 952, 707, 4747, 568, 1970, 267, 596, 616, 513, 9972, 267, 596, 723, 513, 9659, 267, 610, 596, 616, 513, 25982, 269, 15775, 513, 3656, 3318, 267, 1818, 606, 13393, 543, 2469, 547, 519, 5604, 585, 513, 4357, 10554, 2306, 11264, 513, 9098, 13067, 652, 1737, 1401, 18277, 4813, 689, 4098, 547, 1439, 9688, 532, 269, 1547, 6744, 609, 707, 2199, 3454, 2708, 528, 269, 13067, 652, 1737, 608, 18277, 5849, 602, 513, 17005, 23947, 814, 12062, 269, 1403, 596, 616, 14718, 269, 4746, 267, 581, 3222, 602, 930, 4609, 949, 581, 30081, 543, 949, 7662, 8569, 547, 6445, 856, 606, 3498, 563, 295, 558, 652, 1737, 1401, 3319, 687, 281, 9502, 543, 1215, 621, 3718, 267, 2060, 3557, 5903, 454, 13014, 2386, 596, 16783, 609, 707, 1533, 781, 3498, 21852, 269, 8074, 267, 2705, 267, 602, 519, 28153, 4027, 13974, 1152, 14014, 1996, 796, 5913, 3293, 5491, 832, 282, 621, 786, 711, 2061, 513, 4871, 602, 6585, 513, 20251, 689, 2062, 743, 3151, 593, 519, 1753, 269, 634, 608, 18277, 1152, 10039, 547, 513, 3119, 15335, 543, 3112, 581, 10645, 585, 1776, 3959, 11992, 269, 13335, 4574, 1419, 2446, 1920, 2818, 610, 12543, 267, 543, 3105, 15335, 607, 3254, 538, 19421, 540, 4574, 799, 949, 1331, 2244, 3498, 3029, 267, 15114, 3156, 267, 1920, 6426, 3817, 267, 7365, 610, 2669, 22783, 267, 11356, 804, 2089, 902, 267, 543, 3413, 573, 822, 1080, 269, 4033, 8320, 540, 519, 4630, 652, 1737, 3959, 3454, 608, 18277, 616, 7229, 676, 513, 6871, 269, 10466, 3245, 28946, 6002, 7201, 13067, 652, 1737, 1401, 18277, 634, 23614, 687, 585, 4630, 652, 1737, 3601, 4268, 689, 1533, 547, 1533, 563, 2304, 608, 18277, 3498, 1590, 581, 6192, 543, 11643, 547, 519, 3959, 813, 571, 16014, 538, 519, 10315, 1141, 519, 3959, 568, 4092, 676, 519, 27152, 21120, 540, 4728, 476, 272, 269, 7248, 1218, 3112, 581, 19101, 610, 8391, 1022, 1826, 540, 3454, 608, 18277, 593, 1022, 824, 3959, 538, 519, 2136, 2276, 269, 13555, 707, 10315, 610, 2749, 2594, 518, 585, 1344, 827, 25937, 513, 4630, 652, 1737, 17083, 269, 1547, 1677, 20618, 585, 4630, 652, 1737, 608, 18277, 267, 21427, 1590, 19582, 519, 3959, 607, 741, 8628, 15335, 563, 5278, 2829, 2154, 596, 547, 6445, 856, 606, 3498, 1419, 2139, 2228, 269, 2701, 568, 513, 10927, 540, 21563, 333, 631, 1177, 337, 5441, 589, 269, 1215, 1305, 6306, 538, 2123, 10040, 282, 1106, 547, 269, 5600, 540, 24929, 267, 8433, 540, 519, 4521, 31280, 21835, 269, 27997, 569, 1711, 513, 9098, 13067, 652, 1737, 1401, 18277, 4813, 1510, 17596, 547, 4125, 12665, 269, 2475, 13751, 22553, 2636, 596, 547, 6385, 3132, 16155, 11006, 4574, 1759, 593, 840, 29931, 730, 1357, 2861, 1025, 3471, 269, 769, 1034, 2829, 267, 21427, 616, 7142, 547, 946, 519, 1533, 7182, 267, 799, 616, 1419, 811, 15028, 19037, 563, 1692, 13067, 652, 1737, 1401, 18277, 3718, 1403, 596, 723, 513, 3119, 15335, 543, 1616, 547, 2569, 519, 2949, 3959, 3454, 3915, 2404, 609, 602, 15335, 267, 596, 949, 581, 2111, 547, 4019, 585, 513, 4630, 652, 1737, 3959, 3454, 608, 18277, 269, 1703, 949, 849, 581, 513, 3970, 593, 519, 1871, 540, 513, 1753, 602, 666, 20618, 585, 606, 608, 18277, 269, 8525, 476, 272, 540, 476, 272, 8940, 269, 1547, 634, 5449, 9375, 540, 19901, 18614, 267, 1352, 568, 606, 4274, 538, 5491, 543, 7963, 267, 16468, 4058, 267, 1753, 9562, 267, 7694, 2152, 267, 543, 6142, 269, 7324, 519, 909, 3333, 1824, 281, 8409, 945, 17551, 28153, 538, 1715, 14948, 610, 12425, 666, 1205, 4027, 1210, 519, 5313, 7182, 5103, 519, 9000, 540, 513, 1533, 4630, 652, 1737, 608, 18277, 538, 1346, 2829, 563, 27039, 593, 1141, 596, 2661, 267, 596, 949, 711, 1256, 723, 547, 2887, 1369, 513, 1978, 15410, 540, 4961, 547, 581, 14718, 1317, 930, 2829, 2965, 2709, 519, 608, 18277, 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 ]
[ 593, 16865, 9268, 3536, 899, 8216, 30653, 267, 14614, 267, 543, 13365, 269, 2755, 891, 949, 3100, 10464, 543, 10375, 267, 789, 1419, 2270, 14432, 5820, 899, 4006, 267, 6070, 267, 543, 9600, 799, 3565, 547, 2042, 899, 8377, 267, 3987, 267, 543, 22926, 269, 5047, 267, 13461, 593, 16865, 1426, 2306, 590, 31312, 7925, 547, 2518, 3902, 15088, 543, 3761, 5832, 21463, 267, 2417, 17116, 1426, 3354, 780, 3383, 1018, 666, 581, 2944, 547, 2232, 713, 3390, 286, 589, 9621, 3070, 6013, 538, 14304, 2199, 1426, 1949, 267, 1818, 873, 811, 14388, 547, 2916, 1689, 267, 543, 8716, 519, 4616, 540, 4195, 267, 12725, 3812, 1426, 269, 1635, 3257, 865, 267, 590, 31312, 666, 3895, 1732, 4189, 6208, 1247, 5885, 741, 6705, 543, 7863, 519, 1604, 780, 2080, 616, 930, 2081, 590, 31312, 666, 3035, 713, 3804, 1384, 272, 269, 32754, 4264, 8105, 2853, 281, 11559, 6705, 547, 9772, 10357, 7888, 2409, 971, 607, 5214, 8105, 267, 7989, 20628, 267, 543, 29436, 1150, 2722, 269, 1452, 2553, 948, 8190, 3037, 12680, 267, 18359, 1216, 267, 2569, 23561, 946, 267, 543, 2149, 9265, 780, 7078, 281, 769, 674, 25702, 267, 519, 7690, 585, 22798, 21091, 9373, 1440, 2478, 543, 4886, 630, 293, 6020, 21715, 264, 1568, 609, 2950, 547, 2936, 4264, 6694, 2853, 267, 5355, 3484, 7607, 543, 1920, 6484, 780, 273, 269, 23340, 2146, 10651, 543, 18147, 11396, 281, 25085, 2043, 543, 3885, 547, 1332, 741, 1378, 5613, 267, 5388, 267, 543, 11922, 2901, 15217, 538, 1857, 5624, 610, 27352, 1369, 741, 5321, 269, 901, 2337, 2327, 3586, 1569, 547, 4195, 3132, 1247, 5009, 1582, 3146, 18910, 543, 2146, 16345, 780, 7078, 281, 769, 1977, 6341, 10394, 267, 519, 4972, 540, 4065, 9250, 519, 3427, 12567, 5741, 267, 3450, 1053, 827, 12202, 267, 6484, 267, 543, 2825, 19642, 998, 3946, 6823, 1565, 2833, 780, 274, 269, 8081, 2199, 1426, 6990, 543, 3892, 5121, 281, 30205, 6455, 540, 12725, 6738, 2472, 676, 3384, 5989, 899, 9897, 267, 4859, 6703, 267, 543, 4393, 4559, 269, 3958, 267, 1711, 5867, 1141, 12696, 666, 1921, 2047, 609, 6800, 267, 4227, 21341, 593, 20558, 543, 16779, 2199, 11615, 780, 7078, 281, 769, 24381, 527, 3780, 267, 519, 12080, 540, 3397, 549, 268, 26581, 787, 543, 5253, 8232, 8255, 519, 834, 300, 1228, 538, 5651, 529, 257, 5859, 267, 15386, 12725, 3812, 5370, 2066, 1585, 9922, 267, 1519, 6683, 780, 275, 269, 25956, 4507, 5466, 1426, 3354, 543, 6484, 281, 14958, 4031, 543, 6042, 602, 10994, 2152, 4478, 1426, 2504, 267, 8244, 267, 26622, 267, 543, 3106, 269, 4746, 267, 3715, 3872, 3292, 9870, 4656, 827, 7059, 11326, 543, 2635, 19824, 780, 7078, 281, 6022, 879, 5293, 519, 2817, 12594, 8889, 543, 4643, 476, 1001, 277, 268, 1708, 276, 267, 17935, 547, 2569, 1875, 268, 10919, 27809, 3676, 267, 3986, 1426, 3354, 267, 543, 3895, 2757, 3536, 780, 3528, 12561, 891, 2994, 267, 590, 31312, 666, 6536, 7524, 2199, 1426, 1949, 602, 1683, 14312, 6980, 585, 741, 4961, 1247, 17420, 938, 4541, 781, 10475, 8134, 269, 8625, 267, 1577, 721, 1489, 891, 3646, 2509, 513, 17321, 2104, 6825, 676, 1434, 10350, 267, 3743, 1646, 267, 543, 11972, 13884, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 7072, 5253, 3354, 538, 9540, 6816, 15043, 2276, 630, 306, 10680, 264, 568, 606, 3486, 3609, 10862, 269, 590, 10680, 723, 1164, 3928, 540, 6484, 5829, 1875, 268, 10919, 27809, 3676, 267, 1519, 8377, 543, 1826, 476, 273, 3987, 267, 25050, 22021, 19518, 543, 267, 538, 1082, 267, 10770, 6689, 25224, 532, 269, 901, 568, 2404, 609, 606, 2810, 16126, 593, 16865, 9268, 1426, 540, 4057, 9422, 2298, 269, 595, 8712, 723, 1044, 1500, 585, 14304, 2199, 1426, 1949, 267, 14388, 547, 2916, 1689, 267, 547, 2333, 519, 4616, 540, 14312, 12725, 3812, 1426, 269, 1284, 6322, 547, 18928, 2689, 7459, 5497, 547, 2087, 2732, 538, 590, 10680, 267, 543, 4481, 2263, 2436, 891, 7459, 4294, 513, 2199, 1426, 1935, 563, 32325, 634, 3406, 4640, 729, 4294, 547, 476, 1556, 12240, 267, 1519, 538, 1072, 267, 1514, 2257, 543, 6683, 269, 30587, 540, 10643, 267, 7493, 338, 543, 1239, 10868, 729, 17298, 538, 26134, 269, 11485, 540, 9186, 729, 12290, 1210, 3213, 577, 8735, 2645, 269, 21931, 10282, 540, 519, 2164, 729, 17298, 269, 634, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 623, 27773, 13316, 1315, 2622, 1315, 8241, 1299, 7909, 1014, 1315, 7025, 26291, 538, 9540, 6816, 15043, 2276, 630, 306, 10680, 1040, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 3848, 476, 278, 281, 4197, 30101, 19725, 7869, 692, 5970, 596, 2479, 2219, 827, 875, 1004, 1439, 909, 1373, 19882, 1927, 1759, 593, 741, 2960, 2681, 267, 4552, 9403, 267, 610, 824, 2168, 2934, 286, 5620, 596, 8068, 602, 930, 2516, 3068, 2591, 1247, 1866, 1810, 1405, 286, 4270, 267, 891, 2152, 9305, 547, 1945, 1572, 834, 15869, 1894, 2437, 799, 568, 1018, 649, 786, 2263, 538, 713, 3184, 269, 13018, 267, 649, 2811, 2469, 547, 4685, 2620, 883, 513, 1523, 1634, 607, 834, 305, 18432, 19725, 7869, 1701, 5213, 1405, 5855, 952, 621, 4992, 7294, 282, 594, 6415, 1934, 547, 948, 2736, 621, 1524, 865, 602, 4896, 1765, 16838, 1647, 30595, 899, 596, 1765, 4754, 1174, 621, 780, 1432, 568, 30101, 19725, 7869, 888, 29432, 5331, 952, 596, 1185, 2760, 4862, 540, 2831, 1354, 267, 855, 2576, 10393, 5189, 596, 547, 519, 2856, 540, 7314, 267, 5243, 267, 5017, 267, 543, 3165, 269, 1677, 948, 596, 1174, 1142, 7121, 267, 789, 1131, 2491, 519, 2189, 4162, 543, 5615, 2404, 609, 873, 269, 2334, 1259, 267, 8164, 596, 11402, 513, 1007, 13442, 267, 596, 1223, 6430, 2436, 621, 729, 513, 3032, 267, 2915, 267, 6177, 267, 610, 3165, 780, 1103, 1454, 519, 1482, 1259, 267, 7292, 5250, 3069, 2337, 721, 30387, 543, 1174, 1114, 2516, 540, 1004, 269, 4340, 547, 7812, 744, 14741, 543, 20999, 654, 5364, 630, 18314, 7986, 1914, 5505, 1070, 7292, 5250, 4016, 547, 834, 1492, 8739, 7290, 5566, 1184, 676, 799, 7292, 6688, 616, 2813, 267, 20948, 267, 9927, 267, 543, 10032, 1701, 2913, 781, 10002, 871, 713, 4214, 4062, 676, 4062, 1384, 265, 2878, 306, 665, 1470, 7290, 5566, 4995, 898, 1797, 602, 5198, 814, 1312, 1514, 543, 3140, 7516, 269, 4317, 2188, 4125, 4205, 1851, 2043, 1369, 2486, 267, 6466, 1686, 9388, 609, 2250, 2621, 12018, 1699, 3871, 563, 265, 2878, 257, 31088, 257, 4995, 12861, 7292, 6688, 3884, 1405, 513, 835, 6066, 2680, 269, 5502, 267, 621, 27372, 936, 942, 998, 1585, 5933, 971, 607, 8798, 267, 3110, 2787, 267, 7004, 267, 543, 9552, 563, 265, 2878, 257, 3528, 799, 7292, 6688, 616, 2813, 29389, 4995, 4658, 2097, 909, 609, 1808, 7355, 547, 10646, 1063, 14797, 269, 1452, 1522, 1331, 5920, 267, 22693, 267, 2528, 267, 610, 4182, 3125, 563, 265, 2878, 257, 1862, 514, 4725, 1243, 29389, 4995, 15706, 2697, 2933, 607, 10362, 547, 1978, 7292, 2516, 1759, 593, 1346, 23243, 7355, 269, 1358, 9772, 519, 9821, 267, 4978, 267, 2418, 267, 543, 2853, 5532, 547, 1346, 2516, 563, 265, 2878, 257, 10520, 11526, 29389, 4995, 1306, 7239, 1689, 267, 865, 1932, 798, 7292, 6688, 269, 1280, 1383, 267, 11082, 949, 6338, 1007, 2686, 7592, 267, 3056, 547, 10593, 538, 3964, 8155, 563, 265, 2878, 257, 663, 10032, 257, 4995, 6884, 267, 3003, 7292, 28944, 666, 14897, 1813, 547, 6848, 2242, 267, 954, 3405, 5846, 267, 21393, 267, 610, 824, 4128, 780, 3963, 1281, 30101, 19725, 17460, 888, 28598, 8139, 7292, 5250, 2636, 721, 547, 1294, 875, 1004, 1711, 9163, 1759, 593, 9228, 3604, 269, 1635, 9301, 713, 267, 649, 1831, 811, 3222, 540, 28639, 267, 11475, 267, 7130, 267, 543, 8635, 4810, 676, 12790, 2950, 269, 1284, 849, 1451, 547, 5660, 3309, 10080, 543, 2833, 267, 5807, 6568, 267, 2463, 267, 543, 9322, 10838, 6000, 780, 4131, 781, 1413, 693, 606, 21658, 1210, 4672, 8645, 10366, 3079, 540, 1480, 7919, 269, 5994, 952, 972, 941, 1152, 1079, 2010, 540, 4672, 8645, 4847, 1107, 10217, 543, 29877, 269, 8409, 945, 4782, 12450, 9440, 267, 20511, 13863, 267, 610, 22586, 4155, 723, 1100, 1747, 538, 713, 3908, 1062, 269, 16792, 7292, 5250, 3069, 267, 649, 5431, 602, 25516, 10297, 9497, 577, 8981, 257, 8957, 834, 7079, 8759, 8442, 3970, 1582, 22325, 543, 28511, 17181, 269, 1717, 267, 950, 649, 4228, 938, 1620, 547, 7854, 2789, 10366, 267, 3025, 2640, 269, 6684, 267, 8508, 4763, 538, 8103, 5012, 547, 21950, 3347, 543, 3255, 585, 2208, 780, 3086, 4952, 7311, 713, 9450, 5133, 2509, 1483, 8996, 7653, 5473, 5198, 1894, 269, 1879, 649, 11760, 519, 10848, 7915, 538, 7292, 5250, 3157, 267, 649, 1930, 9885, 547, 3152, 13784, 267, 14619, 267, 543, 10103, 780, 14300, 540, 30101, 19725, 454, 10900, 19030, 9961, 772, 2529, 269, 1686, 267, 1896, 8320, 9414, 7292, 5250, 6384, 269, 2290, 8037, 2013, 3322, 9721, 11082, 21945, 1282, 519, 4571, 268, 866, 628, 2540, 269, 2311, 1101, 267, 4892, 9833, 873, 19035, 569, 1317, 789, 3838, 2147, 7826, 5132, 543, 2804, 9620, 609, 3979, 4892, 269, 3683, 942, 267, 2705, 267, 4550, 15918, 871, 27742, 14556, 1881, 267, 20872, 9721, 4892, 547, 3845, 2933, 689, 3109, 11570, 269, 16828, 267, 9721, 11082, 2968, 3043, 267, 11543, 1569, 547, 22864, 17792, 547, 17051, 269, 4935, 267, 519, 10465, 19459, 16543, 689, 1875, 19351, 2572, 17146, 267, 6220, 3105, 16080, 11107, 1247, 4509, 21441, 1996, 1866, 780, 5194, 3236, 4145, 7489, 4892, 4171, 12583, 4268, 4922, 4470, 593, 3084, 8129, 269, 4457, 31356, 7620, 5185, 7920, 29383, 2390, 12625, 538, 4993, 1282, 519, 7108, 27538, 5736, 269, 13536, 267, 5545, 4892, 11124, 2028, 618, 13122, 1739, 3567, 781, 4323, 593, 23421, 23320, 269, 8616, 2221, 267, 5101, 1306, 2103, 3622, 2972, 2362, 4567, 982, 3162, 1306, 2103, 5103, 4687, 1455, 8017, 971, 607, 11776, 3270, 543, 3318, 18697, 269, 6270, 27753, 2992, 13346, 11994, 12082, 538, 23786, 13253, 543, 4657, 22097, 780, 6962, 454, 29603, 305, 18432, 5250, 3069, 3091, 3407, 4030, 883, 875, 3425, 4020, 7292, 9163, 2429, 1686, 269, 3414, 1732, 8223, 540, 891, 6127, 267, 649, 11349, 4656, 1472, 10770, 13103, 7133, 12102, 5095, 269, 20331, 609, 713, 1702, 267, 649, 11441, 4724, 2870, 12581, 1949, 1141, 1169, 1367, 7912, 8460, 7488, 540, 4282, 610, 14940, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 277, 2918, 19837, 10488, 11762, 585, 1912, 6185, 269, 543, 19080, 14313, 585, 9457, 4841, 454, 2252, 596, 616, 827, 547, 979, 883, 519, 1158, 540, 10927, 1153, 267, 1287, 835, 540, 519, 1101, 1919, 596, 991, 547, 798, 568, 3442, 689, 782, 519, 2009, 12031, 3584, 2139, 547, 596, 269, 901, 568, 1100, 1507, 4305, 269, 1411, 616, 2693, 547, 6108, 1082, 1296, 15388, 707, 9457, 779, 610, 1912, 6185, 269, 1888, 543, 1603, 519, 1257, 269, 901, 1797, 602, 7446, 513, 12031, 1888, 1058, 711, 581, 3144, 21066, 563, 5978, 12665, 786, 2328, 513, 2688, 1557, 593, 1022, 1888, 585, 476, 1724, 269, 876, 476, 1015, 269, 2412, 270, 2457, 454, 5591, 19048, 256, 3807, 1224, 713, 2376, 676, 938, 11426, 5675, 3028, 2073, 543, 596, 3580, 1265, 912, 268, 513, 4015, 540, 1390, 5098, 3584, 593, 8804, 267, 2069, 267, 2359, 267, 1876, 267, 3092, 563, 268, 513, 2039, 540, 4388, 593, 7446, 513, 11318, 1912, 6185, 269, 1888, 563, 268, 26461, 491, 5440, 476, 1015, 19837, 10488, 11762, 454, 268, 9462, 484, 504, 19080, 5288, 19837, 10488, 454, 268, 9462, 498, 507, 5440, 476, 1015, 19080, 11762, 454, 268, 9462, 492, 497, 19080, 11762, 5903, 454, 268, 32273, 483, 1215, 547, 7994, 513, 13445, 454, 6930, 495, 491, 12749, 476, 1015, 19837, 10488, 11762, 454, 268, 19078, 8925, 547, 3662, 4152, 563, 268, 1548, 779, 519, 2104, 540, 519, 16458, 7256, 888, 268, 6496, 20020, 1860, 2206, 328, 3010, 2237, 606, 2502, 543, 3015, 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 ]
[ 0, 310, 5893, 519, 2295, 2287, 1650, 540, 519, 4332, 540, 3552, 2699, 18896, 4996, 1186, 267, 8204, 513, 581, 13154, 540, 4126, 585, 513, 2249, 751, 564, 1359, 593, 519, 6316, 540, 14486, 563, 308, 2955, 519, 2565, 4567, 540, 2699, 20384, 267, 606, 13155, 2249, 6849, 3875, 2591, 543, 546, 13388, 1782, 2551, 2338, 563, 18439, 519, 6131, 5726, 3646, 6322, 693, 8497, 2699, 20384, 267, 1519, 27604, 9960, 3292, 267, 7226, 11808, 454, 4462, 16225, 519, 4105, 1909, 2699, 20384, 1404, 538, 4509, 8733, 3666, 267, 10223, 519, 25872, 540, 2249, 543, 519, 991, 585, 741, 4027, 563, 23895, 14896, 622, 519, 7772, 748, 12625, 540, 2699, 18896, 4996, 1186, 267, 513, 15266, 547, 519, 1967, 540, 5726, 3292, 543, 519, 7029, 547, 9494, 713, 7415, 2249, 563, 9596, 827, 5571, 7341, 5059, 593, 9750, 2699, 18896, 5095, 538, 519, 3552, 267, 609, 519, 2832, 540, 19620, 2635, 543, 1582, 1606, 7739, 532, 5095, 563, 8269, 937, 593, 519, 2956, 540, 8497, 519, 9371, 540, 2699, 20384, 543, 519, 7104, 5539, 547, 2327, 741, 6668, 585, 2104, 5481, 269, 0, 763, 21826, 4886, 540, 519, 11272, 27990, 10369, 13201, 27439, 547, 519, 21826, 12618, 540, 519, 12829, 932, 817, 529, 12752, 454, 763, 10995, 669, 817, 529, 2488, 513, 12946, 3760, 585, 519, 13128, 6117, 1062, 267, 15483, 335, 527, 1062, 543, 1379, 1062, 267, 543, 814, 519, 2702, 547, 5431, 267, 3589, 543, 1852, 519, 5872, 1063, 519, 8868, 543, 519, 2666, 267, 543, 4383, 922, 1378, 5665, 1533, 267, 799, 666, 4481, 8275, 519, 4305, 540, 10995, 6174, 6117, 269, 12829, 669, 817, 529, 568, 1759, 593, 519, 1646, 540, 2757, 669, 817, 529, 267, 8720, 1034, 540, 519, 2757, 669, 817, 529, 3334, 267, 607, 1134, 607, 1007, 2694, 609, 10995, 3252, 563, 25238, 18182, 1475, 24154, 651, 5665, 3926, 267, 20347, 1852, 3926, 267, 3092, 2008, 21270, 571, 651, 1475, 12640, 601, 20347, 267, 18736, 20347, 267, 20347, 6771, 7271, 267, 3092, 2008, 347, 1873, 2925, 1475, 17556, 1359, 1852, 7271, 267, 23376, 6771, 7271, 267, 23376, 10591, 2008, 16085, 974, 518, 1475, 20988, 267, 20022, 267, 14743, 267, 1098, 1314, 548, 2008, 2467, 616, 1614, 5933, 538, 519, 1646, 540, 5100, 669, 817, 529, 912, 1103, 519, 1101, 3942, 267, 519, 744, 14011, 1599, 568, 8045, 585, 519, 669, 817, 529, 19976, 543, 29529, 20291, 5911, 1852, 3248, 1103, 519, 2034, 3942, 267, 1759, 593, 519, 3301, 3989, 669, 817, 529, 267, 3035, 7299, 543, 8880, 20291, 5911, 1852, 267, 609, 32118, 19307, 609, 2407, 6422, 1852, 3252, 3248, 1103, 519, 3791, 3942, 267, 519, 3810, 7471, 3301, 3989, 669, 817, 529, 2175, 616, 1558, 267, 609, 3742, 1852, 267, 13261, 267, 543, 1582, 19543, 7207, 269, 18514, 1852, 2029, 786, 581, 519, 1883, 547, 2104, 5100, 669, 817, 529, 563, 763, 4886, 3778, 540, 12829, 932, 817, 529, 454, 347, 27319, 932, 817, 529, 476, 272, 269, 271, 1475, 27319, 932, 817, 529, 476, 273, 269, 271, 1475, 27319, 932, 817, 529, 476, 274, 269, 271, 2008, 25238, 18182, 1826, 1475, 293, 3224, 22812, 541, 4949, 548, 2582, 5179, 5397, 267, 4395, 543, 15493, 4949, 548, 12242, 21438, 5179, 5397, 1475, 306, 17532, 5179, 5397, 267, 4395, 543, 15493, 4949, 548, 5595, 5179, 5397, 1614, 5179, 5397, 267, 2185, 5179, 7265, 1229, 1475, 11947, 569, 7471, 8868, 1439, 5397, 12122, 630, 20253, 601, 962, 328, 5179, 1070, 10995, 12483, 2029, 3498, 2008, 347, 18118, 1852, 1475, 2464, 290, 267, 552, 2692, 8803, 267, 661, 4916, 267, 609, 744, 14011, 1599, 1475, 2464, 290, 267, 552, 2692, 8803, 267, 661, 4916, 267, 609, 744, 14011, 1599, 1475, 28874, 744, 14011, 267, 669, 817, 529, 5365, 21438, 6389, 1852, 267, 27103, 1807, 21336, 3599, 19307, 2008, 347, 16978, 29182, 6417, 20022, 1475, 763, 2527, 3498, 540, 2011, 5614, 538, 519, 3046, 1286, 30877, 519, 31338, 540, 519, 1883, 2694, 540, 519, 6475, 1227, 6417, 8710, 4726, 828, 1475, 763, 2527, 3498, 540, 2011, 5614, 538, 519, 3046, 1286, 30877, 519, 31338, 540, 519, 1883, 2694, 540, 519, 5907, 19089, 1852, 3926, 1475, 30874, 20022, 2008, 25238, 12801, 540, 5911, 1852, 1475, 311, 267, 962, 4287, 547, 3035, 9864, 5911, 1852, 543, 10319, 1852, 1475, 343, 267, 962, 4287, 547, 3035, 9864, 5911, 1852, 543, 10319, 1852, 1475, 4504, 3485, 550, 669, 817, 529, 1058, 723, 13128, 1852, 543, 13261, 1565, 2702, 2008, 2026, 606, 1271, 1259, 547, 3035, 519, 18546, 2305, 7004, 540, 519, 16669, 2872, 267, 5100, 669, 817, 529, 2472, 786, 2333, 519, 21774, 2557, 540, 3167, 6472, 267, 799, 786, 2333, 519, 4908, 540, 5057, 5826, 543, 10682, 269, 634, 2450, 540, 519, 5100, 669, 817, 529, 2344, 540, 3167, 6472, 6603, 476, 1321, 269, 6507, 5479, 586, 10224, 538, 476, 1708, 272, 267, 609, 606, 2333, 540, 476, 5038, 269, 6321, 10065, 898, 568, 4397, 547, 3914, 476, 4391, 269, 10019, 5479, 586, 10224, 676, 476, 1708, 274, 563, 17471, 11272, 14825, 12067, 12829, 932, 817, 529, 2991, 21466, 12025, 538, 476, 1001, 280, 268, 1708, 274, 630, 1911, 28985, 962, 10224, 994, 763, 2518, 14628, 6117, 896, 8364, 5846, 2344, 2450, 2799, 689, 476, 30663, 2929, 586, 10224, 538, 476, 1001, 280, 547, 476, 274, 269, 10436, 5479, 586, 10224, 538, 476, 1708, 272, 269, 769, 519, 1985, 1906, 1296, 267, 609, 519, 6454, 540, 14628, 6117, 2029, 267, 519, 21774, 2557, 540, 700, 274, 543, 1657, 14628, 6117, 1949, 786, 3136, 547, 2333, 538, 519, 2104, 269, 1306, 513, 1883, 3070, 585, 519, 5377, 10324, 4494, 540, 13128, 6117, 267, 519, 2333, 538, 519, 2450, 540, 519, 13128, 6117, 2344, 786, 2417, 3895, 519, 5826, 543, 10682, 4908, 540, 10995, 6117, 10995, 669, 817, 529, 2472, 269, 4706, 2344, 2450, 568, 4397, 547, 3914, 476, 1015, 269, 1839, 5479, 586, 10224, 538, 476, 1708, 274, 563, 17471, 32534, 32010, 12829, 932, 817, 529, 2991, 21466, 12025, 538, 476, 1001, 280, 268, 1708, 274, 630, 1911, 28985, 962, 10224, 994, 22139, 3013, 630, 24433, 267, 4516, 543, 6792, 994, 292, 2202, 630, 30051, 267, 5333, 267, 5177, 267, 6576, 267, 7977, 543, 10163, 540, 2342, 994, 2026, 807, 7414, 630, 19770, 267, 3567, 267, 9705, 267, 3127, 267, 14913, 5607, 267, 5245, 994, 21026, 3013, 630, 24154, 7588, 267, 18335, 267, 21896, 543, 824, 2694, 540, 3162, 3013, 994, 29557, 5101, 543, 4000, 630, 306, 16728, 17936, 267, 32329, 267, 5527, 267, 3162, 4000, 543, 1964, 540, 5664, 5101, 543, 4000, 994, 1103, 476, 1708, 272, 267, 3624, 779, 3167, 6174, 2344, 786, 721, 615, 538, 23292, 2208, 269, 1306, 519, 9562, 540, 3167, 6472, 4679, 1032, 676, 1032, 267, 519, 3747, 585, 2694, 5826, 543, 10682, 786, 2333, 269, 2311, 519, 1482, 942, 267, 609, 519, 7004, 540, 18914, 4987, 543, 18546, 2305, 267, 519, 4170, 585, 519, 2773, 540, 669, 817, 529, 543, 1644, 2472, 538, 519, 1310, 21466, 540, 3167, 6472, 786, 4473, 3648, 267, 865, 519, 21774, 2557, 540, 10995, 669, 817, 529, 538, 3167, 6472, 786, 849, 721, 615, 538, 513, 1713, 2333, 269, 4340, 547, 7194, 267, 519, 2344, 2450, 540, 3624, 779, 3167, 6174, 5100, 669, 817, 529, 6603, 476, 273, 269, 5379, 5479, 586, 10224, 538, 476, 1708, 272, 267, 609, 606, 2333, 540, 476, 2764, 269, 1724, 9077, 543, 519, 2344, 2450, 568, 4397, 547, 3914, 476, 275, 269, 10602, 5479, 586, 10224, 538, 476, 1708, 274, 563, 1001, 280, 268, 1708, 274, 3624, 779, 11272, 14825, 12067, 12829, 932, 817, 529, 2991, 21466, 12025, 630, 1911, 28985, 962, 10224, 994, 294, 9915, 14825, 12067, 6828, 814, 3964, 3761, 5832, 7740, 610, 17825, 7740, 538, 3624, 267, 3345, 3013, 543, 2342, 547, 3035, 2518, 6765, 7207, 1247, 3246, 22297, 2533, 538, 3077, 6990, 269, 769, 3624, 543, 18246, 267, 519, 3761, 5832, 9136, 5697, 676, 717, 9915, 14825, 12067, 6828, 616, 2356, 2199, 5010, 17825, 7740, 269, 717, 9915, 14825, 12067, 6828, 779, 2518, 3060, 814, 9450, 547, 476, 6344, 266, 2477, 543, 5170, 547, 1332, 267, 3246, 669, 817, 529, 2694, 3028, 543, 1489, 547, 476, 272, 267, 1822, 1341, 5561, 5001, 269, 717, 9915, 14825, 12067, 6828, 779, 5665, 4747, 729, 476, 273, 269, 5392, 5479, 586, 10224, 538, 476, 1708, 272, 267, 609, 606, 2333, 540, 476, 3374, 269, 3451, 9077, 543, 519, 7623, 2208, 2557, 729, 476, 1691, 269, 272, 260, 689, 476, 1001, 277, 547, 476, 1708, 272, 267, 609, 1390, 1646, 1761, 563, 294, 9915, 14825, 12067, 6828, 779, 21952, 20677, 630, 1911, 28985, 962, 10224, 264, 543, 12618, 15580, 689, 476, 1001, 277, 547, 476, 1708, 272, 454, 19102, 1078, 29203, 540, 15733, 538, 519, 932, 817, 529, 2991, 21466, 454, 763, 5911, 6417, 669, 817, 529, 1759, 593, 18546, 2305, 543, 4987, 814, 2362, 4170, 585, 519, 2773, 540, 669, 817, 529, 3334, 269, 634, 2497, 543, 1587, 1106, 540, 669, 817, 529, 3334, 786, 10929, 1713, 2242, 269, 4856, 22046, 5944, 267, 519, 1310, 21466, 669, 817, 529, 3334, 786, 723, 2362, 2930, 10305, 563, 2304, 21561, 538, 519, 7352, 1214, 540, 3281, 9426, 15733, 538, 519, 932, 817, 529, 2991, 21466, 454, 18814, 547, 3167, 6472, 9141, 676, 5201, 267, 519, 6771, 1062, 543, 20347, 1062, 723, 22734, 1390, 2242, 267, 519, 1297, 540, 27699, 5825, 538, 519, 669, 817, 529, 3334, 1310, 21466, 786, 5330, 5944, 2333, 269, 6684, 267, 519, 1646, 540, 4987, 814, 849, 2799, 519, 3099, 540, 2694, 543, 3334, 2472, 563, 763, 10025, 540, 22020, 538, 519, 932, 817, 529, 2991, 21466, 16842, 454, 15253, 1563, 609, 2757, 669, 817, 529, 2694, 267, 5100, 669, 817, 529, 2694, 2472, 616, 811, 6198, 543, 811, 1950, 547, 1020, 267, 4611, 538, 513, 1713, 2333, 538, 741, 1871, 269, 1306, 519, 1871, 540, 3334, 4679, 267, 9755, 685, 7443, 19114, 616, 4397, 547, 4228, 563, 763, 4336, 540, 3624, 779, 18213, 1286, 2344, 568, 5458, 267, 543, 519, 4336, 568, 2810, 1032, 676, 1032, 269, 769, 2487, 1296, 267, 519, 2450, 540, 3624, 779, 4492, 6174, 2344, 814, 8519, 267, 855, 519, 4028, 1646, 540, 519, 3167, 6174, 2344, 814, 3366, 547, 606, 2949, 2208, 7678, 538, 519, 2450, 540, 3624, 779, 18213, 6174, 2344, 269, 4340, 547, 7194, 267, 519, 2450, 540, 3624, 779, 18213, 1286, 2344, 6603, 476, 2537, 269, 276, 5780, 274, 2929, 4559, 538, 476, 1708, 273, 267, 609, 606, 2333, 540, 476, 280, 269, 7597, 9077, 543, 519, 2344, 2450, 568, 4397, 547, 3914, 476, 2190, 269, 4343, 2929, 4559, 538, 476, 1708, 274, 269, 634, 5458, 2450, 540, 519, 18213, 1286, 2344, 786, 849, 2333, 519, 3747, 585, 5100, 669, 817, 529, 563, 19770, 779, 10426, 10152, 2961, 10369, 12025, 267, 476, 1001, 280, 268, 1708, 274, 630, 1015, 298, 19590, 994, 19770, 779, 12829, 932, 817, 529, 10369, 13565, 24727, 454, 1103, 2487, 1296, 267, 1585, 13623, 538, 3624, 723, 5189, 513, 3126, 540, 4507, 547, 2327, 519, 2298, 540, 2472, 538, 519, 669, 817, 529, 2872, 267, 971, 607, 519, 25709, 687, 593, 12213, 2287, 519, 6963, 540, 519, 16359, 27990, 6184, 18936, 3590, 543, 19630, 1944, 519, 27990, 6184, 18936, 6796, 9783, 676, 634, 3557, 7027, 538, 476, 1708, 273, 267, 799, 2636, 12681, 16904, 547, 946, 17666, 3937, 547, 4163, 856, 669, 817, 529, 14791, 896, 519, 23350, 540, 4180, 602, 3106, 4441, 616, 711, 4389, 269, 898, 568, 711, 16601, 547, 1628, 1449, 28961, 267, 18736, 15155, 1186, 267, 5011, 28309, 22572, 267, 18736, 20347, 8082, 7397, 543, 824, 6703, 610, 3937, 563, 19770, 779, 12829, 932, 817, 529, 12752, 13565, 24727, 454, 21511, 1032, 476, 1708, 272, 1475, 30860, 593, 519, 9129, 340, 766, 540, 519, 476, 1691, 628, 12866, 268, 17413, 4643, 585, 519, 4886, 540, 7073, 18043, 18815, 3590, 3436, 1475, 1805, 21880, 6533, 519, 1382, 543, 1646, 540, 1883, 4295, 4066, 538, 519, 2361, 540, 6283, 267, 17108, 519, 1382, 543, 1646, 540, 1883, 3334, 971, 607, 26971, 267, 5397, 8386, 2914, 790, 669, 817, 529, 267, 2596, 2029, 5867, 267, 3301, 543, 8800, 1949, 267, 543, 3895, 519, 20185, 540, 4830, 1852, 543, 22713, 269, 347, 0, 263, 310, 7364, 4930, 786, 711, 581, 7608, 269, 7905, 786, 2638, 5169, 1275, 540, 782, 9708, 1916, 272, 269, 5681, 3405, 1125, 782, 1614, 630, 274, 264, 4930, 538, 476, 4968, 1913, 610, 811, 269, 7490, 946, 707, 1378, 1913 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1923, 1923, 13188, 476, 1321, 628, 853, 323, 1923, 4856, 21975, 692, 258, 4856, 21975, 692, 17357, 21975, 568, 9286, 538, 1896, 1114, 2081, 780, 17357, 21975, 692, 1012, 4985, 692, 17357, 21975, 476, 28812, 1109, 513, 1109, 8579, 476, 1109, 22563, 823, 602, 2337, 547, 20272, 519, 23656, 566, 540, 1079, 610, 811, 4632, 269, 11184, 14731, 8895, 2023, 267, 529, 476, 1109, 22529, 1043, 585, 1109, 519, 9819, 540, 9756, 11664, 780, 1012, 9537, 540, 4856, 21975, 692, 17357, 21975, 568, 9286, 538, 5231, 1109, 13367, 531, 1114, 2081, 269, 8422, 540, 519, 1034, 1271, 2081, 540, 1362, 4328, 9756, 616, 692, 1012, 7392, 594, 281, 9122, 593, 519, 4287, 540, 1689, 540, 4632, 692, 17357, 21975, 568, 9286, 883, 1079, 2010, 607, 15474, 9756, 543, 20134, 4856, 21975, 1759, 593, 519, 4287, 540, 1689, 540, 519, 4632, 780, 328, 269, 15474, 4856, 21975, 1384, 763, 9756, 568, 1767, 547, 581, 2318, 952, 519, 2418, 540, 1079, 4632, 1847, 538, 519, 1482, 4287, 780, 2750, 476, 272, 281, 1403, 4747, 543, 5890, 754, 8132, 540, 513, 5600, 3835, 949, 581, 2810, 610, 13302, 8195, 269, 1403, 865, 267, 972, 568, 2318, 9756, 269, 1401, 269, 962, 284, 513, 1341, 536, 343, 692, 4512, 269, 20134, 4856, 21975, 1384, 763, 4856, 21975, 568, 1767, 547, 581, 2942, 950, 519, 2418, 540, 4632, 1847, 538, 519, 6587, 8846, 269, 1401, 269, 962, 284, 513, 1107, 536, 343, 692, 2750, 476, 272, 281, 12313, 543, 3747, 585, 513, 20161, 1847, 538, 519, 6587, 4287, 780, 1012, 7392, 4083, 281, 9122, 1575, 517, 519, 1297, 540, 4632, 6594, 780, 2467, 616, 1614, 2010, 1759, 2390, 519, 1297, 540, 4632, 6594, 607, 692, 328, 264, 11822, 4856, 21975, 692, 4512, 264, 13038, 4856, 21975, 692, 13839, 264, 3487, 658, 4856, 21975, 692, 328, 264, 11822, 4856, 21975, 1384, 2252, 1152, 1079, 4632, 616, 3144, 585, 1353, 1287, 621, 568, 1767, 547, 581, 2241, 9756, 269, 1401, 269, 962, 284, 513, 1341, 536, 343, 692, 4512, 264, 13038, 4856, 30447, 1384, 2252, 1614, 610, 811, 982, 1614, 4632, 616, 6594, 8195, 267, 1287, 621, 568, 17941, 607, 2789, 9756, 780, 2750, 281, 10318, 514, 1218, 540, 10829, 640, 18796, 692, 304, 323, 284, 535, 630, 303, 267, 623, 322, 267, 623, 338, 267, 512, 267, 586, 2020, 8489, 1627, 323, 6763, 585, 10829, 640, 18796, 267, 535, 6763, 585, 1599, 780, 303, 568, 519, 3902, 540, 519, 5370, 10484, 303, 322, 568, 519, 3902, 540, 8013, 5370, 692, 11679, 568, 519, 3902, 540, 2655, 23082, 5370, 692, 339, 568, 519, 6492, 543, 13283, 692, 344, 568, 519, 4747, 780, 13839, 264, 3487, 658, 4856, 21975, 1384, 2252, 972, 616, 811, 982, 1079, 4632, 855, 1152, 1079, 4632, 616, 2808, 5329, 519, 824, 4632, 3586, 267, 1287, 519, 9756, 568, 1767, 547, 581, 3487, 658, 4856, 21975, 692, 1012, 7392, 8633, 281, 9122, 2390, 519, 1526, 3599, 540, 519, 5223, 540, 1689, 1063, 519, 4632, 692, 17357, 21975, 568, 5258, 883, 1079, 2010, 607, 5276, 9756, 543, 6348, 6441, 710, 541, 9756, 1759, 2390, 519, 4790, 3599, 540, 519, 5223, 540, 1689, 1063, 519, 4632, 780, 328, 264, 12430, 4856, 21975, 281, 4856, 21975, 568, 1767, 547, 581, 5276, 950, 519, 2179, 540, 1689, 538, 835, 4756, 11148, 547, 7703, 513, 3586, 5223, 547, 519, 2179, 540, 1689, 538, 519, 824, 780, 2750, 269, 962, 284, 513, 1341, 536, 343, 692, 4512, 264, 6348, 12430, 281, 634, 9756, 1131, 581, 1875, 910, 15035, 952, 519, 2179, 540, 1689, 538, 835, 4756, 1281, 711, 7703, 513, 3586, 5223, 547, 519, 2179, 540, 1689, 538, 519, 824, 4632, 780, 2750, 269, 962, 284, 513, 1341, 536, 343, 273, 692, 1012, 10613, 540, 24356, 4856, 21975, 1384, 763, 1585, 2409, 540, 23754, 532, 2436, 1079, 4632, 616, 17047, 610, 711, 616, 1384, 272, 269, 2480, 2660, 6516, 6396, 692, 273, 269, 18753, 6396, 692, 274, 269, 20913, 21942, 779, 3213, 910, 3608, 540, 9756, 543, 692, 275, 269, 6396, 540, 2274, 770, 8293, 4100, 780, 8170, 891, 267, 519, 1101, 1079, 616, 1759, 593, 519, 1702, 540, 6516, 543, 11708, 267, 6466, 519, 1866, 616, 6310, 2409, 780, 1012, 476, 272, 269, 2480, 2660, 12810, 6396, 1384, 9928, 2660, 6516, 568, 513, 3113, 540, 4767, 28367, 2798, 1141, 1142, 1448, 4564, 519, 2418, 540, 2473, 543, 962, 607, 513, 11282, 269, 898, 28420, 519, 2078, 1063, 891, 1079, 4632, 3113, 1227, 780, 2162, 22436, 540, 2480, 2660, 12810, 1505, 692, 263, 272, 264, 898, 568, 1360, 2241, 543, 1875, 268, 6310, 1505, 692, 263, 273, 264, 621, 568, 711, 6766, 676, 519, 2450, 540, 3665, 6221, 780, 263, 274, 264, 898, 568, 519, 1101, 1900, 538, 16889, 519, 2078, 1063, 1079, 4632, 780, 2162, 32539, 540, 2480, 2660, 6516, 1505, 692, 2005, 3112, 3715, 519, 3169, 4110, 540, 9756, 1063, 519, 4632, 267, 855, 2488, 4287, 540, 9756, 543, 20186, 621, 568, 1164, 610, 1970, 780, 1012, 476, 273, 269, 18753, 1505, 692, 1103, 713, 1505, 267, 519, 1367, 2418, 540, 1079, 4632, 616, 28367, 593, 519, 3113, 6656, 543, 2721, 519, 14258, 540, 1312, 519, 4632, 2161, 1535, 543, 586, 269, 1403, 1312, 2473, 543, 962, 616, 3001, 538, 519, 1482, 4287, 2901, 16057, 610, 18746, 267, 1287, 519, 9756, 568, 1767, 547, 581, 2318, 269, 1403, 519, 14258, 540, 2473, 543, 962, 1847, 538, 519, 6587, 4287, 282, 1287, 519, 9756, 568, 1767, 547, 581, 2942, 780, 1012, 476, 274, 269, 20913, 21942, 779, 3213, 324, 2310, 540, 4856, 21975, 692, 298, 22611, 21942, 779, 6396, 568, 2442, 569, 1634, 607, 21942, 779, 11664, 540, 9756, 20922, 676, 519, 3090, 2048, 337, 9957, 634, 11664, 540, 9756, 2048, 337, 685, 3800, 519, 4110, 540, 5276, 2078, 1063, 1079, 4632, 2161, 2473, 543, 962, 269, 634, 16754, 585, 7384, 20913, 21942, 779, 3213, 324, 2310, 540, 9756, 568, 1384, 272, 2020, 8072, 337, 685, 568, 7229, 676, 6034, 6396, 1510, 2921, 11539, 540, 2474, 2901, 689, 4890, 1611, 610, 10924, 1611, 780, 273, 264, 678, 568, 7229, 676, 2921, 519, 8061, 2747, 689, 4890, 1611, 780, 274, 264, 2048, 337, 685, 568, 7229, 676, 2921, 10924, 1611, 692, 8489, 15848, 4016, 547, 24017, 540, 1535, 3126, 689, 10924, 1611, 630, 343, 1535, 392, 483, 1070, 10085, 4016, 547, 24017, 540, 586, 3126, 689, 606, 10924, 1611, 540, 630, 344, 3917, 264, 586, 692, 4501, 495, 11459, 11276, 815, 476, 1109, 11764, 540, 1587, 540, 519, 24017, 1535, 543, 586, 3126, 689, 741, 10924, 1797, 780, 4501, 495, 11459, 273, 815, 5681, 540, 519, 10945, 540, 519, 24017, 540, 2473, 3126, 689, 606, 10924, 1611, 692, 4501, 495, 11276, 273, 284, 5681, 540, 519, 10945, 540, 519, 24017, 476, 1109, 1993, 1535, 3126, 689, 606, 10924, 1611, 692, 4501, 495, 11459, 815, 2040, 540, 519, 11539, 540, 1535, 3126, 476, 1109, 5228, 606, 10924, 1611, 540, 1535, 692, 4501, 495, 11276, 815, 2040, 540, 519, 11539, 540, 586, 3126, 689, 606, 10924, 1611, 540, 586, 692, 3682, 1027, 675, 585, 17270, 519, 4856, 21975, 3213, 324, 2310, 281, 630, 2690, 6034, 543, 8061, 2747, 689, 4890, 1611, 1505, 6393, 3721, 268, 272, 12433, 519, 1611, 540, 1079, 3126, 2048, 311, 685, 685, 312, 685, 692, 3721, 268, 273, 12433, 519, 24017, 2048, 311, 685, 543, 962, 538, 1079, 3126, 689, 741, 9757, 1611, 780, 3721, 268, 274, 12384, 1142, 24017, 540, 2048, 311, 685, 543, 2048, 312, 685, 1287, 3489, 519, 2040, 540, 519, 8293, 1563, 11539, 267, 2334, 568, 543, 692, 3721, 268, 275, 25092, 1142, 11539, 896, 2473, 609, 1142, 11539, 896, 962, 543, 3489, 519, 1587, 540, 2048, 15383, 9957, 3973, 3489, 519, 2040, 540, 519, 1587, 540, 2473, 267, 312, 269, 3973, 3489, 519, 2040, 540, 519, 1587, 540, 1535, 11971, 568, 3980, 495, 15383, 780, 3721, 268, 276, 15240, 3482, 519, 1871, 538, 519, 4542, 780, 273, 269, 2667, 25390, 6399, 8061, 2747, 6396, 692, 273, 269, 1473, 1311, 6396, 692, 5715, 1311, 6396, 692, 11459, 284, 630, 343, 14870, 392, 483, 264, 543, 10085, 815, 630, 344, 3917, 392, 483, 2020, 337, 568, 1863, 689, 5169, 692, 337, 568, 1863, 689, 1770, 540, 6482, 910, 272, 19749, 353, 337, 19749, 353, 266, 272, 692, 17445, 6396, 1384, 7078, 476, 272, 281, 12433, 20913, 21942, 779, 3213, 324, 2310, 540, 9756, 689, 519, 1739, 1239, 543, 4612, 922, 1871, 1384, 25820, 2433, 311, 476, 1015, 476, 1321, 476, 1691, 476, 1428, 476, 866, 692, 11045, 569, 281, 312, 476, 2412, 476, 6078, 476, 4366, 476, 2568, 476, 2004, 692, 11405, 281, 2913, 721, 1491, 12313, 607, 2473, 543, 3761, 607, 962, 692, 25820, 540, 519, 1587, 543, 3761, 585, 519, 1587, 568, 9797, 17047, 269, 1879, 3902, 540, 519, 1587, 4679, 1287, 519, 3761, 585, 519, 1587, 849, 4679, 780, 8002, 783, 6399, 6396, 1384, 2750, 268, 272, 281, 6480, 1493, 519, 11664, 540, 9756, 609, 4890, 11743, 1505, 585, 519, 1739, 1239, 780, 337, 815, 476, 271, 269, 27628, 267, 634, 2961, 568, 3478, 2025, 538, 1296, 519, 1942, 540, 5826, 568, 849, 2810, 269, 634, 2085, 540, 2961, 543, 922, 5826, 616, 9797, 17047, 780, 10112, 25390, 6399, 8061, 2747, 6396, 692, 2750, 476, 272, 281, 4855, 519, 20913, 21942, 11664, 540, 4856, 21975, 1063, 2473, 543, 962, 689, 519, 1739, 1239, 1384, 311, 281, 476, 1015, 476, 1321, 476, 1724, 476, 1626, 476, 1704, 476, 736, 476, 1839, 692, 312, 281, 476, 866, 476, 2420, 476, 2918, 476, 2767, 476, 3066, 476, 3451, 476, 4391, 692, 11405, 1384, 13528, 3121, 585, 2667, 25390, 6399, 8061, 2747, 1505, 780, 12648, 519, 10924, 2418, 589, 815, 476, 1626, 1299, 645, 815, 476, 2767, 4061, 15848, 815, 2473, 1107, 589, 2473, 1107, 476, 1626, 543, 692, 11276, 815, 962, 268, 589, 962, 1107, 476, 2767, 692, 2467, 6818, 513, 2318, 1164, 9756, 1063, 2473, 543, 962, 692, 30475, 2433, 4985, 267, 9537, 2073, 476, 1321, 628, 13188, 2433, 3848, 476, 1321, 2433, 4985, 547, 18926, 10613, 543, 8859, 564, 7879, 454, 19138, 7698, 267, 700, 624, 1005, 11872, 267, 12143, 267, 13129, 267, 26264, 6609, 7778, 267, 5618, 1469, 454, 1321, 628, 13188, 2433, 3848, 476, 1321, 2433, 4985, 547, 18926, 10613, 543, 8859, 564, 7879, 2433, 4856, 21975, 1923, 4985, 267, 9537, 0, 29479, 7726, 540, 519, 4303, 281, 11545, 3842, 4757, 1923, 11545, 3842, 17749, 1715, 547, 17918, 11833, 286, 13772, 713, 11473, 692, 898, 568, 4867, 476, 1240, 4924, 476, 1708, 271, 267, 476, 6021, 281, 866, 692, 2162, 17918, 11833, 11545, 16721, 692, 2971, 11289, 596, 585, 1210, 519, 22245, 910, 713, 4359, 1907, 666, 7447, 707, 2773, 543, 2303, 811, 2259, 2055, 269, 1284, 723, 20401, 539, 596, 547, 11545, 16721, 5999, 3842, 4757, 780, 20578, 1242, 454, 1721, 1411, 692, 933, 786, 4584, 1007, 2055, 602, 6474, 707, 1377, 1759, 593, 707, 7033, 518, 3778, 692, 9199, 1188, 692, 22336, 3018, 267, 649, 3580, 6494, 596, 606, 6059, 17918, 6060, 1759, 593, 707, 2773, 692, 20797, 454, 303, 904, 692, 933, 786, 4584, 1007, 2055, 602, 6474, 707, 1377, 1759, 593, 707, 7033, 518, 3778, 692, 258, 4975, 645, 568, 476, 276, 5195, 7532, 540, 519, 2749, 589, 267, 2749, 595, 568, 476, 1015, 5195, 22703, 540, 692, 12041, 24606, 454, 307, 8980, 306, 1384, 2162, 31674, 16193, 692, 13043, 16869, 454, 16274, 281, 476, 6349, 9484, 476, 1220, 280, 454, 15803, 281, 476, 277, 1321, 10695, 454, 30949, 645, 568, 476, 276, 5195, 7532, 540, 519, 2749, 589, 267, 2749, 595, 568, 476, 1015, 5195, 22703, 540, 1109, 1496, 258, 21529, 6540, 2162, 8058, 16193, 692, 1556, 8734, 476, 1001, 280, 267, 476, 876, 281, 2004, 454, 272, 454, 273, 454, 876, 281, 876, 692, 11795, 22187, 1384, 4817, 260, 630, 14551, 2020, 9223, 853, 1846, 1384, 2190, 260, 630, 6349, 281, 6872, 264, 2953, 476, 10602, 260, 630, 6349, 281, 876, 264, 4636, 1759, 593, 476, 5655, 7886, 692, 2162, 31674, 17004, 22245, 10803, 692, 30949, 645, 568, 476, 276, 5195, 7532, 540, 519, 2749, 589, 267, 2749, 595, 568, 476, 1015, 5195, 22703, 540, 2749, 645, 269, 6904, 540, 519, 1739, 568, 519, 14191, 547, 519, 3845, 689, 2749, 589, 547, 2749, 595, 2496, 288, 269, 476, 1556, 5195, 454, 289, 269, 476, 1321, 5195, 454, 290, 269, 476, 1724, 5195, 454, 291, 269, 476, 1691, 5195, 454, 292, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 10870, 1127, 542, 3181, 1180, 532, 543, 11508, 4254, 16478, 2059, 19944, 340, 885, 616, 6594, 538, 519, 8047, 676, 5464, 20381, 5951, 18640, 998, 513, 19944, 8462, 543, 7893, 17277, 771, 2897, 906, 1210, 7913, 12005, 4856, 21975, 630, 291, 2975, 1040, 6215, 760, 729, 13684, 593, 1079, 1367, 7161, 540, 31682, 998, 513, 3346, 2627, 602, 1185, 1312, 22122, 543, 11508, 269, 27148, 540, 17277, 729, 5645, 856, 676, 16565, 10299, 543, 10630, 14771, 1308, 267, 623, 19985, 543, 19852, 267, 590, 19985, 6329, 1991, 547, 543, 1282, 5821, 540, 519, 15013, 269, 667, 2975, 729, 1031, 547, 6895, 519, 19944, 8462, 676, 7893, 519, 2627, 12761, 2361, 269, 6034, 19852, 6901, 5340, 593, 31682, 15013, 609, 22122, 7000, 602, 3181, 1180, 532, 630, 29754, 540, 22122, 264, 7018, 1354, 519, 8445, 19852, 4222, 729, 6603, 267, 543, 602, 11508, 4254, 16478, 543, 22122, 3181, 1180, 532, 798, 711, 2049, 8195, 2059, 519, 19944, 8462, 269, 769, 1249, 267, 519, 2179, 540, 17277, 602, 568, 13251, 1813, 547, 3181, 1180, 532, 568, 606, 1931, 540, 9588, 4130, 982, 519, 17277, 2877, 585, 20834, 1944, 519, 2407, 535, 2774, 1308, 4222, 540, 519, 19944, 8462, 269, 634, 2530, 540, 22122, 814, 3982, 20381, 22782, 543, 8507, 538, 513, 1713, 6175, 538, 10299, 17931, 267, 606, 2333, 538, 519, 10630, 17931, 267, 513, 1713, 5786, 538, 5951, 6991, 267, 543, 513, 6727, 5786, 540, 519, 8789, 4908, 540, 519, 5951, 13257, 585, 1312, 14771, 1308, 543, 19852, 6329, 269, 0, 3963, 3657, 16713, 4469, 4711, 693, 21009, 21178, 3530, 888, 29309, 14873, 568, 513, 1533, 602, 3217, 1390, 11348, 538, 922, 9206, 267, 799, 4564, 519, 2418, 267, 1686, 267, 543, 1004, 540, 519, 1533, 269, 1717, 267, 972, 616, 14026, 950, 519, 9206, 568, 2095, 333, 693, 3368, 3613, 3530, 267, 513, 2990, 602, 23327, 31366, 610, 2463, 269, 901, 32444, 23972, 568, 711, 547, 581, 3144, 21066, 267, 607, 621, 19752, 1713, 2621, 610, 519, 2530, 540, 1271, 2043, 269, 769, 713, 2376, 267, 649, 786, 2263, 519, 4128, 1946, 519, 16713, 9206, 568, 3006, 2938, 693, 3368, 3613, 3530, 267, 2059, 609, 513, 14174, 17988, 3296, 547, 2232, 1455, 28780, 4478, 713, 2259, 563, 3725, 3517, 585, 519, 16713, 25035, 693, 21009, 21178, 3530, 912, 272, 269, 631, 712, 940, 519, 13809, 540, 8871, 5799, 15706, 912, 3080, 540, 519, 1034, 1455, 4128, 585, 519, 16713, 9206, 547, 581, 2095, 333, 693, 3368, 3613, 3530, 568, 547, 8956, 519, 8429, 540, 7986, 1533, 5515, 267, 1519, 14761, 267, 4108, 10986, 267, 610, 1857, 22063, 269, 1879, 2576, 540, 1390, 2956, 547, 519, 1533, 10596, 2476, 267, 621, 568, 22232, 547, 2539, 519, 9206, 607, 513, 1129, 540, 2463, 543, 31366, 269, 901, 23972, 2636, 7264, 547, 15217, 20494, 557, 519, 2530, 543, 5431, 519, 7418, 1500, 676, 519, 8977, 539, 563, 273, 269, 2817, 3004, 3022, 625, 610, 3816, 27320, 912, 1103, 519, 2013, 540, 3084, 32333, 267, 971, 607, 6411, 540, 18483, 267, 2067, 12469, 267, 610, 1713, 2621, 602, 1860, 519, 2197, 607, 513, 2898, 267, 519, 16713, 9206, 949, 581, 2095, 333, 693, 3368, 3613, 3530, 269, 901, 5713, 607, 513, 3090, 540, 17604, 609, 519, 1964, 540, 519, 4182, 538, 31366, 610, 1121, 27320, 269, 898, 568, 513, 1259, 585, 16713, 753, 547, 6542, 6568, 543, 1489, 585, 1346, 4299, 676, 519, 2680, 267, 7488, 540, 741, 10923, 4087, 563, 274, 269, 17341, 17963, 543, 7788, 1392, 2456, 912, 11854, 6900, 2395, 26621, 519, 3965, 540, 15468, 7980, 267, 18884, 267, 610, 3140, 2621, 949, 849, 5401, 519, 16713, 9206, 547, 581, 22485, 269, 17341, 4303, 267, 519, 16683, 540, 519, 5181, 476, 1556, 6285, 267, 610, 824, 1713, 7389, 538, 1977, 1686, 666, 9594, 713, 23972, 269, 1635, 3257, 865, 267, 519, 1533, 17188, 4630, 720, 547, 519, 24279, 1500, 543, 5849, 602, 519, 3965, 540, 1346, 945, 5795, 741, 2729, 568, 711, 16618, 563, 275, 269, 3557, 4204, 3004, 3022, 625, 912, 2691, 16713, 2833, 32333, 602, 723, 513, 7096, 1764, 593, 519, 1533, 267, 971, 607, 2527, 9496, 902, 267, 10913, 267, 610, 2067, 12469, 267, 519, 9206, 949, 581, 2095, 333, 693, 3368, 3613, 3530, 269, 901, 5713, 607, 513, 12576, 540, 519, 7104, 16236, 543, 6043, 540, 16713, 753, 267, 1247, 849, 11589, 7873, 565, 1878, 547, 519, 9601, 543, 741, 3885, 269, 634, 22485, 9206, 23327, 9322, 543, 1489, 1282, 2352, 2053, 563, 304, 272, 281, 5808, 814, 519, 6392, 547, 1931, 519, 16713, 9206, 547, 581, 2095, 333, 693, 3368, 3613, 3530, 888, 288, 272, 281, 634, 6392, 547, 1931, 519, 16713, 9206, 547, 581, 2095, 333, 693, 3368, 3613, 3530, 6013, 609, 519, 17135, 540, 16713, 269, 634, 17135, 2152, 10324, 9753, 602, 14574, 519, 8653, 543, 2601, 585, 16715, 519, 9206, 563, 304, 273, 281, 1215, 1279, 1281, 519, 16713, 9206, 2611, 693, 3368, 3613, 3530, 888, 288, 273, 281, 634, 8653, 585, 10760, 519, 9206, 693, 3368, 3613, 3530, 9775, 4470, 593, 519, 6381, 269, 898, 666, 2039, 689, 513, 2582, 1554, 547, 1896, 2395, 267, 4470, 593, 519, 4644, 540, 519, 2680, 610, 519, 1367, 1373, 28165, 563, 304, 274, 281, 1215, 666, 594, 1265, 856, 952, 519, 16713, 9206, 568, 4867, 693, 3368, 3613, 3530, 888, 288, 274, 281, 634, 17135, 779, 5604, 3335, 3045, 25555, 950, 519, 9206, 568, 547, 581, 2095, 333, 693, 3368, 3613, 3530, 269, 22893, 666, 3251, 5483, 998, 4013, 2229, 7270, 267, 1514, 2923, 5867, 267, 2199, 3377, 19093, 267, 610, 676, 20401, 532, 547, 4013, 3377, 24393, 563, 304, 275, 281, 2052, 2043, 610, 4213, 8038, 519, 16713, 9206, 693, 3368, 3613, 3530, 593, 741, 1378, 11063, 888, 288, 275, 281, 2755, 621, 568, 711, 19275, 547, 2539, 519, 9206, 10446, 267, 621, 568, 3622, 9415, 547, 1246, 519, 17135, 779, 9753, 547, 2327, 513, 19618, 4082, 540, 2463, 543, 31366, 563, 304, 276, 281, 1548, 1058, 594, 798, 952, 594, 1294, 519, 16713, 9206, 693, 3368, 3613, 3530, 888, 288, 276, 281, 1403, 596, 7237, 519, 16713, 9206, 693, 3368, 3613, 3530, 267, 621, 568, 3617, 547, 23249, 585, 513, 4090, 540, 8086, 543, 1397, 2463, 269, 901, 23972, 26342, 519, 4644, 540, 519, 8317, 543, 26549, 1346, 1373, 15422, 563, 1103, 3932, 267, 519, 16713, 9206, 568, 2095, 333, 693, 3368, 3613, 3530, 593, 1585, 14026, 547, 2769, 31366, 267, 1121, 27320, 267, 543, 2463, 269, 6787, 621, 568, 547, 8956, 519, 2530, 540, 7986, 2043, 267, 2628, 24744, 1282, 3084, 32333, 267, 610, 29428, 1533, 4204, 2621, 267, 519, 22485, 9206, 23327, 519, 1533, 779, 17604, 267, 6568, 267, 543, 7071, 585, 1346, 945, 723, 1500, 24279, 269, 634, 2259, 540, 10760, 519, 9206, 693, 3368, 3613, 3530, 19595, 721, 782, 540, 519, 2956, 540, 9322, 543, 8296, 538, 2053, 540, 16236, 269, 0, 8368, 540, 9115, 912, 268, 1772, 972, 1022, 3017, 1063, 1565, 4093, 543, 6859, 888, 268, 1548, 568, 606, 6662, 6364, 888, 268, 1548, 616, 519, 22905, 6859, 888, 268, 1215, 798, 596, 2328, 22905, 3853, 543, 6859, 888, 268, 1548, 616, 5100, 6859, 1031, 585, 888, 268, 1548, 568, 1250, 6662, 538, 513, 16056, 888, 268, 1772, 513, 16056, 6662, 2556, 888, 268, 4208, 798, 649, 1305, 6859, 888, 3674, 972, 1022, 3017, 1063, 1565, 4093, 543, 6859, 888, 288, 1565, 6662, 568, 519, 14357, 781, 3483, 585, 2870, 543, 3450, 741, 1576, 269, 3267, 769, 4334, 267, 1565, 4093, 616, 519, 4267, 547, 1346, 2055, 269, 1358, 616, 519, 1808, 267, 22905, 1702, 543, 1983, 602, 519, 15226, 786, 2744, 676, 2921, 519, 1576, 563, 1432, 568, 606, 6662, 6364, 888, 29020, 4093, 616, 10526, 540, 1761, 2640, 610, 28746, 540, 5574, 799, 616, 711, 1641, 547, 513, 1804, 4110, 540, 1367, 7664, 267, 543, 602, 616, 2693, 547, 581, 28761, 6027, 2066, 5171, 538, 513, 1353, 267, 676, 1114, 1004, 543, 936, 942, 563, 1432, 616, 519, 22905, 6859, 888, 9288, 553, 9092, 6859, 616, 1808, 6898, 11589, 519, 5551, 7907, 540, 1883, 2533, 282, 543, 519, 4397, 2164, 540, 519, 2533, 270, 23024, 1466, 269, 20505, 1058, 1533, 281, 3040, 5808, 568, 3238, 281, 634, 1004, 4171, 5615, 267, 1702, 543, 5924, 1983, 616, 547, 581, 4957, 607, 513, 1267, 540, 519, 1982, 563, 1692, 798, 596, 2328, 22905, 3853, 543, 6859, 888, 16240, 513, 22905, 3804, 3340, 649, 2743, 2947, 21342, 2638, 9557, 912, 268, 634, 10902, 568, 519, 1641, 519, 3804, 568, 827, 269, 4429, 268, 634, 18781, 568, 519, 3017, 519, 3804, 568, 547, 1118, 269, 4429, 268, 7638, 2125, 543, 740, 18690, 1419, 630, 8117, 711, 2141, 264, 2303, 596, 723, 606, 2962, 267, 711, 513, 3804, 269, 4429, 268, 2155, 553, 543, 8580, 17313, 2303, 596, 723, 811, 982, 835, 3804, 563, 1432, 616, 5100, 6859, 1031, 585, 888, 1432, 3657, 15382, 11286, 20505, 286, 10925, 1360, 3274, 267, 15382, 11286, 6859, 630, 528, 15382, 11286, 3853, 264, 616, 513, 1106, 540, 6662, 4259, 799, 2636, 9946, 543, 5520, 547, 1711, 267, 3950, 543, 9585, 267, 2110, 7146, 17489, 3856, 3853, 269, 2353, 1932, 1419, 267, 3804, 4259, 4991, 521, 14988, 1441, 538, 1870, 563, 1432, 568, 1250, 6662, 538, 513, 16056, 888, 288, 16056, 6662, 3948, 12857, 513, 16056, 547, 519, 17849, 9614, 269, 1306, 519, 2012, 5267, 267, 621, 4267, 519, 2243, 267, 968, 1432, 568, 519, 6662, 540, 713, 16056, 9495, 898, 2356, 2829, 519, 2990, 585, 799, 596, 616, 7311, 543, 949, 1331, 707, 4876, 3853, 563, 3674, 513, 16056, 6662, 2556, 888, 9989, 513, 1763, 2541, 10261, 606, 20638, 286, 1411, 798, 711, 991, 606, 968, 29020, 892, 3296, 593, 707, 16056, 538, 2221, 781, 2816, 2344, 269, 589, 16056, 6662, 568, 2938, 607, 22573, 676, 1082, 12820, 543, 3217, 909, 3407, 2230, 2282, 519, 1283, 540, 707, 16056, 602, 1223, 581, 1732, 268, 4310, 585, 824, 6810, 899, 513, 4876, 5758, 3948, 563, 3963, 798, 649, 1305, 6859, 888, 11917, 16633, 2285, 596, 1945, 547, 960, 2509, 267, 543, 948, 547, 1463, 1648, 543, 4674, 269, 1358, 12954, 519, 991, 547, 957, 269, 3194, 814, 1336, 602, 1141, 5234, 616, 3238, 538, 4259, 741, 1378, 6859, 789, 616, 811, 12592, 547, 3035, 873, 630, 299, 665, 651, 267, 661, 589, 543, 700, 987, 600, 717, 10422, 267, 25779, 4259, 282, 513, 30973, 4480, 602, 1568, 563, 268, 1548, 568, 16148, 543, 6662, 609, 1383, 888, 268, 1548, 616, 519, 3853, 540, 1565, 888, 268, 1548, 568, 519, 6662, 538, 513, 2126, 1544, 888, 268, 1548, 568, 519, 3017, 1063, 522, 4788, 543, 6662, 888, 268, 1215, 798, 596, 2328, 513, 1434, 5100, 6662, 888, 268, 1548, 568, 9097, 1570, 1143, 888, 268, 1548, 568, 519, 3017, 1063, 5098, 25710, 4185, 543, 10282, 888, 268, 1879, 513, 1268, 568, 1434, 693, 741, 2816, 888, 268, 1215, 1570, 1582, 5540, 513, 1268, 888, 268, 1548, 616, 519, 476, 275, 6436, 540, 519, 8129, 540, 513, 1533, 888, 2791, 786, 581, 5461, 454, 268, 1215, 1705, 7338, 20122, 15816, 5581, 1876, 888, 268, 1684, 596, 1205, 811, 2724, 952, 596, 1491, 17319, 21336, 3599, 888, 268, 1548, 568, 2468, 4820, 924, 538, 4853, 1894, 888, 268, 1548, 568, 513, 476, 273, 4484, 2262, 609, 2098, 888, 268, 1548, 1281, 32286, 1611, 538, 1148, 888, 268, 4208, 568, 621, 10143, 4971, 28466, 3409, 602, 3388, 2696, 1281, 1434, 888, 268, 1548, 616, 519, 2640, 540, 1582, 26190, 888, 268, 1548, 798, 596, 1289, 2576, 945, 14560, 4543, 1866, 888, 268, 6904, 540, 519, 1739, 6898, 3277, 547, 513, 6485, 30658, 1935, 547, 2866, 543, 1646, 888, 268, 5808, 1548, 616, 32286, 631, 953, 639, 2103, 28866, 286, 0, 6124, 2023, 781, 4521, 540, 15346, 532, 18185, 568, 513, 1863, 1907, 602, 3533, 21410, 513, 1560, 781, 2837, 269, 901, 1863, 9498, 3217, 519, 2837, 540, 519, 1604, 267, 519, 3355, 2837, 267, 519, 9023, 3586, 267, 543, 519, 942, 607, 11378, 543, 17016, 519, 2837, 540, 606, 1843, 538, 513, 2110, 2179, 540, 942, 563, 6124, 2023, 781, 4521, 540, 15346, 532, 454, 28959, 5385, 568, 18170, 676, 1614, 3119, 6127, 269, 26365, 26634, 267, 28681, 267, 543, 5982, 616, 519, 1614, 2409, 269, 1280, 8143, 26634, 543, 28681, 267, 13053, 781, 1876, 540, 9023, 10039, 269, 1323, 1843, 781, 9023, 942, 568, 5462, 676, 1079, 2188, 269, 2290, 540, 519, 2188, 568 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 11176, 949, 3100, 25254, 547, 930, 267, 519, 22231, 543, 2656, 3206, 2838, 538, 13558, 666, 581, 8449, 14053, 269, 6736, 741, 3604, 267, 1312, 5026, 2709, 3407, 4245, 538, 5807, 8994, 2463, 593, 519, 2361, 563, 1103, 11176, 267, 2168, 640, 568, 513, 10747, 8984, 269, 3245, 8214, 956, 547, 7161, 267, 5716, 4497, 538, 7920, 2168, 12959, 547, 2744, 519, 5580, 1688, 269, 1717, 267, 713, 32297, 1281, 711, 24183, 519, 2956, 540, 2463, 593, 519, 11176, 2361, 269, 24812, 1590, 15666, 547, 7453, 3652, 543, 6042, 267, 8156, 741, 17837, 609, 14619, 543, 1232, 1890, 269, 769, 519, 22984, 540, 513, 1164, 3613, 1389, 3014, 267, 621, 779, 2629, 585, 11176, 619, 547, 1871, 741, 15712, 543, 1174, 602, 1510, 873, 267, 519, 3014, 3274, 9327, 1406, 2291, 269, 23688, 783, 2463, 568, 519, 5748, 593, 799, 4023, 1404, 538, 11176, 568, 3710, 267, 8716, 9845, 547, 14526, 18979, 569, 855, 9425, 563, 306, 665, 1356, 267, 593, 519, 824, 1688, 267, 20502, 513, 1114, 1826, 540, 32297, 269, 2755, 2168, 21611, 949, 581, 1447, 7928, 267, 5716, 1590, 4865, 7415, 16608, 267, 5578, 267, 543, 2790, 6043, 269, 2060, 606, 8561, 593, 3723, 1740, 267, 4640, 267, 543, 17500, 1922, 770, 3375, 1818, 267, 13558, 7569, 606, 10373, 1377, 540, 22231, 543, 13916, 269, 8616, 267, 1256, 538, 519, 3002, 540, 519, 3014, 267, 13558, 5716, 2226, 513, 2178, 2631, 540, 2463, 585, 741, 17837, 269, 901, 2463, 11498, 3564, 519, 3803, 27646, 267, 607, 5716, 1419, 5385, 28478, 572, 903, 543, 2671, 8090, 540, 23274, 269, 769, 13558, 267, 8994, 2463, 568, 711, 1175, 513, 851, 540, 519, 3014, 855, 513, 1259, 540, 1272, 267, 7700, 547, 519, 5898, 543, 5026, 26206, 621, 23327, 563, 268, 769, 11176, 267, 2463, 568, 10423, 998, 912, 268, 12876, 1404, 454, 268, 11374, 3652, 454, 268, 11846, 2006, 3697, 2623, 454, 268, 769, 13558, 267, 2463, 568, 3254, 998, 912, 268, 1520, 18029, 566, 585, 17837, 685, 1983, 454, 268, 12968, 1681, 519, 3014, 779, 5389, 454, 268, 12861, 513, 2631, 540, 9322, 454, 7212, 11176, 543, 13558, 949, 1935, 32297, 689, 1114, 7285, 267, 1312, 5026, 2566, 519, 4644, 540, 8994, 2463, 543, 4023, 1404, 269, 17859, 540, 519, 2168, 640, 610, 22717, 572, 3238, 267, 9845, 538, 1312, 3756, 1174, 519, 2956, 540, 3024, 532, 741, 17837, 267, 14344, 741, 7418, 267, 543, 30176, 519, 3741, 540, 5026, 26206, 543, 2463, 1312, 593, 543, 1055, 519, 2361, 563, 1103, 3932, 267, 519, 6370, 540, 519, 4610, 1063, 11176, 543, 13558, 568, 16148, 269, 5637, 5026, 2154, 2790, 543, 2168, 32297, 269, 1717, 267, 621, 779, 1114, 2127, 540, 1445, 602, 1305, 873, 6306, 269, 25624, 7569, 4222, 543, 16608, 267, 1247, 13558, 3340, 22231, 543, 2656, 3206, 269, 5637, 5026, 723, 741, 2591, 267, 855, 6038, 267, 1312, 13686, 519, 6043, 543, 8990, 540, 741, 5716, 269, 0, 11767, 24287, 3884, 1406, 1175, 827, 31768, 282, 621, 779, 513, 8086, 540, 6848, 10593, 267, 2686, 5322, 267, 543, 519, 2479, 21608, 16919, 540, 519, 13999, 269, 3683, 942, 267, 519, 5251, 540, 9913, 814, 9927, 267, 5935, 543, 1373, 8032, 676, 519, 13942, 540, 2442, 2528, 269, 2913, 779, 5490, 883, 519, 9159, 3460, 540, 9913, 267, 3695, 922, 4720, 543, 922, 6946, 13218, 547, 519, 4657, 29500, 540, 1402, 2528, 563, 763, 18868, 540, 7377, 9177, 543, 30007, 454, 16954, 2528, 543, 9913, 2671, 513, 1623, 25027, 2078, 269, 2755, 9913, 7506, 543, 5546, 1402, 2528, 267, 519, 8545, 267, 538, 2490, 267, 9598, 919, 3466, 267, 7375, 267, 543, 6848, 8155, 10630, 538, 9913, 23447, 563, 15900, 17963, 281, 30007, 24306, 454, 11767, 24287, 814, 3504, 8129, 267, 16439, 1394, 547, 5711, 9423, 267, 12644, 267, 543, 12738, 269, 634, 520, 3740, 24299, 267, 3332, 267, 543, 2575, 941, 2038, 3029, 540, 9913, 267, 5935, 2686, 9163, 543, 5356, 15413, 1143, 563, 763, 22547, 540, 7136, 9012, 281, 1744, 12686, 7073, 30007, 454, 763, 4417, 540, 2527, 2923, 1765, 2784, 1470, 267, 8613, 267, 543, 21576, 1765, 516, 23728, 1242, 9913, 269, 898, 4547, 2984, 267, 2575, 267, 543, 3377, 883, 5321, 267, 12018, 6848, 11407, 543, 796, 4328, 2686, 2833, 563, 20112, 523, 16527, 540, 21035, 281, 1744, 12686, 17912, 543, 9177, 454, 295, 14709, 6229, 779, 13642, 6520, 2840, 339, 1117, 11599, 8874, 267, 6801, 267, 543, 11964, 602, 2451, 606, 30170, 1665, 593, 9913, 269, 3245, 519, 1350, 600, 712, 540, 519, 2699, 24095, 547, 519, 3310, 540, 14557, 26517, 9423, 267, 21035, 8032, 2518, 2528, 563, 5938, 7697, 779, 8177, 281, 634, 9540, 24897, 7169, 454, 5938, 7697, 24339, 520, 1242, 9913, 267, 8744, 3309, 6386, 543, 3308, 9423, 883, 10820, 269, 898, 5189, 11599, 2982, 602, 2968, 2686, 5905, 18429, 267, 5935, 7391, 543, 1514, 8155, 563, 24523, 543, 8836, 28073, 281, 9697, 3315, 7370, 585, 7827, 454, 24523, 814, 1044, 513, 6117, 3196, 3297, 2686, 5322, 269, 3245, 519, 13889, 8964, 540, 519, 476, 3422, 271, 338, 547, 519, 4720, 540, 11964, 899, 4224, 267, 12048, 31022, 267, 543, 1402, 267, 2575, 814, 8272, 549, 1042, 543, 6766, 6848, 10593, 563, 19445, 7169, 281, 30007, 538, 519, 5769, 6520, 454, 763, 4950, 9927, 9913, 269, 20837, 532, 2533, 267, 1514, 2923, 267, 543, 3593, 24378, 1543, 24339, 520, 1242, 1569, 547, 9913, 267, 18534, 12686, 4616, 6208, 543, 4412, 2454, 10194, 3466, 563, 305, 1047, 540, 17012, 577, 2478, 543, 27684, 9177, 454, 293, 13361, 2478, 899, 10060, 12668, 267, 16452, 25260, 267, 543, 31733, 723, 16916, 13991, 10178, 321, 1162, 267, 3056, 547, 513, 10006, 538, 10178, 2528, 269, 674, 663, 1682, 3310, 9423, 267, 4497, 538, 9840, 267, 543, 1256, 1764, 2239, 9095, 338, 563, 291, 1751, 543, 23830, 281, 5345, 6295, 15881, 2510, 454, 763, 7903, 585, 4763, 543, 6041, 538, 9913, 814, 18534, 9464, 9423, 269, 32213, 6386, 267, 3309, 5641, 338, 267, 543, 6041, 2066, 1585, 9163, 2992, 6848, 7125, 585, 13784, 563, 11767, 24287, 543, 4317, 19410, 776, 454, 11767, 24287, 3884, 1406, 1175, 827, 15413, 1143, 282, 621, 779, 513, 3760, 585, 1514, 16555, 269, 7641, 2982, 267, 9413, 267, 543, 2575, 1419, 2232, 1514, 2152, 267, 5807, 7391, 543, 9870, 4656, 563, 763, 21478, 540, 20837, 532, 543, 7913, 15107, 13257, 454, 1805, 3195, 532, 5867, 723, 22314, 2757, 9913, 3631, 269, 22731, 1543, 267, 28675, 2914, 10248, 2528, 267, 543, 10531, 7840, 28196, 710, 875, 9458, 8532, 9913, 563, 11767, 24287, 538, 519, 14118, 27247, 16527, 454, 14813, 1663, 523, 6203, 29937, 1713, 3310, 538, 5935, 9913, 3466, 269, 4256, 1514, 2923, 4527, 267, 23596, 906, 267, 543, 21769, 609, 12478, 20747, 519, 3515, 1063, 9913, 543, 10229, 563, 6962, 281, 589, 8836, 24135, 12960, 454, 11767, 24287, 779, 4720, 19141, 519, 2479, 19145, 18125, 540, 2486, 269, 898, 9356, 938, 17050, 267, 12194, 267, 543, 9909, 267, 7674, 607, 513, 2686, 11604, 602, 27372, 7258, 6848, 10593, 269, 1306, 649, 6330, 519, 14768, 540, 9913, 4720, 267, 621, 779, 2312, 602, 621, 3788, 513, 6422, 3196, 12544, 17198, 602, 9356, 267, 22851, 267, 543, 7380, 919, 267, 16111, 5935, 543, 1373, 8032, 676, 519, 13346, 29500, 540, 1402, 2528, 269, 0, 1432, 568, 519, 8511, 1198, 888, 1724, 5412, 476, 1708, 273, 454, 763, 2048, 333, 2720, 2044, 1764, 685, 568, 606, 2825, 8337, 15116, 640, 13296, 519, 3047, 13341, 18214, 538, 2837, 538, 1769, 540, 519, 1249, 602, 1808, 9362, 630, 4248, 535, 2541, 267, 3327, 8166, 267, 6491, 9317, 12547, 267, 543, 15655, 264, 538, 519, 2011, 11863, 16042, 21765, 547, 979, 998, 2705, 15972, 3002, 32338, 730, 689, 519, 1158, 779, 2627, 269, 769, 519, 2680, 602, 891, 9362, 9327, 1406, 15972, 3002, 538, 519, 2916, 267, 519, 2837, 540, 519, 3618, 1131, 581, 1472, 476, 3451, 5232, 1298, 580, 8565, 21617, 2949, 269, 4595, 875, 891, 9362, 3636, 938, 4541, 267, 789, 616, 1572, 607, 17645, 15723, 1154, 6878, 543, 519, 1764, 789, 1118, 538, 519, 2011, 568, 1572, 607, 21543, 1764, 563, 763, 21543, 1764, 267, 5103, 519, 1249, 602, 621, 4992, 31029, 267, 568, 11207, 2834, 543, 6093, 269, 898, 568, 1175, 519, 2012, 2016, 547, 519, 4783, 676, 799, 1978, 7363, 8345, 9362, 538, 519, 3047, 779, 1604, 3180, 513, 6712, 540, 519, 3636, 5982, 602, 21128, 693, 3047, 689, 519, 3141, 269, 634, 4909, 9362, 602, 616, 3957, 2048, 9926, 821, 31362, 6878, 685, 630, 294, 327, 326, 779, 264, 616, 281, 23520, 821, 267, 12539, 8166, 267, 21193, 9317, 12547, 267, 4826, 535, 2541, 543, 29034, 2033, 269, 1452, 616, 7363, 8345, 563, 4263, 519, 1448, 950, 519, 3636, 5982, 630, 528, 8515, 264, 2982, 909, 689, 519, 3141, 267, 930, 540, 621, 568, 1236, 5792, 689, 519, 9018, 4494, 540, 519, 3047, 676, 519, 17645, 4494, 630, 6518, 568, 519, 7778, 649, 666, 18172, 4734, 538, 519, 3141, 267, 568, 713, 8952, 519, 1034, 829, 559, 748, 5982, 689, 519, 3141, 3478, 2250, 519, 2011, 1070, 8429, 593, 1175, 606, 8515, 547, 22036, 547, 3636, 519, 3047, 269, 901, 8515, 1287, 267, 693, 602, 1448, 267, 10841, 1742, 1394, 998, 519, 2916, 267, 2705, 513, 1804, 6712, 540, 621, 4991, 9575, 676, 519, 17645, 31362, 6878, 267, 799, 2306, 621, 3251, 538, 519, 3047, 779, 1604, 563, 1607, 23988, 568, 519, 1360, 1482, 607, 1018, 4386, 538, 5740, 7685, 267, 18867, 1946, 621, 568, 1634, 607, 519, 21543, 1764, 269, 769, 19220, 540, 519, 1249, 602, 621, 568, 3339, 267, 519, 1259, 602, 649, 616, 4946, 547, 519, 17645, 15723, 1154, 6878, 538, 519, 2011, 676, 10438, 1875, 3146, 2908, 762, 1648, 2959, 693, 971, 606, 9058, 2557, 10522, 602, 649, 616, 12615, 908, 519, 21543, 1764, 267, 799, 568, 2348, 513, 1906, 29695, 2164, 593, 1272, 593, 3047, 563, 288, 21543, 568, 513, 2777, 602, 568, 16922, 540, 4837, 269, 898, 814, 7127, 1811, 543, 31241, 641, 16922, 540, 4837, 269, 589, 21543, 568, 8246, 676, 2043, 538, 21617, 13102, 1141, 3384, 2371, 896, 30891, 748, 4411, 2837, 568, 13542, 727, 269, 589, 21543, 13978, 3636, 2429, 519, 21617, 942, 540, 1032, 269, 15706, 1020, 2472, 540, 519, 3037, 538, 873, 269, 6129, 8141, 956, 543, 519, 21543, 1577, 519, 21765, 538, 799, 2112, 916, 519, 2371, 543, 2011, 3330, 269, 634, 21543, 3085, 1406, 11863, 519, 8272, 549, 1042, 1769, 547, 979, 998, 621, 269, 1924, 1282, 519, 1769, 3108, 267, 621, 4991, 28555, 3330, 519, 21543, 543, 13978, 3636, 1472, 10543, 942, 607, 1134, 269, 0, 306, 639, 13860, 681, 14554, 2201, 918, 636, 638, 1846, 267, 645, 7867, 21060, 1656, 2368, 4033, 5899, 1052, 13022, 6350, 29759, 454, 2421, 3220, 269, 12246, 13860, 32129, 2006, 454, 3383, 3044, 616, 519, 25926, 538, 938, 6990, 267, 649, 10355, 1294, 930, 540, 519, 7366, 540, 8677, 540, 20521, 4829, 602, 9428, 827, 519, 1158, 269, 1809, 1169, 1631, 543, 1287, 267, 513, 3732, 540, 835, 540, 519, 3504, 610, 1360, 1007, 12204, 2501, 938, 1259, 269, 2368, 616, 912, 298, 636, 638, 1846, 1107, 616, 513, 1507, 20521, 4829, 267, 3168, 2864, 899, 10538, 9416, 13530, 267, 602, 1332, 593, 513, 1668, 1506, 21906, 609, 4158, 3039, 21743, 3762, 2864, 982, 513, 7381, 3529, 269, 1358, 12090, 267, 941, 13881, 267, 543, 25343, 538, 3624, 543, 941, 7164, 538, 519, 4639, 2394, 789, 941, 4547, 547, 4789, 538, 476, 7277, 277, 676, 7917, 674, 28232, 267, 513, 19494, 21689, 585, 634, 5507, 15636, 19680, 5980, 269, 1261, 19424, 539, 873, 607, 513, 30120, 25798, 267, 711, 606, 17580, 267, 543, 602, 729, 875, 789, 1101, 3262, 2066, 2342, 543, 547, 519, 17113, 267, 607, 513, 4677, 21906, 269, 4256, 17382, 1465, 568, 3730, 538, 2870, 6302, 543, 7834, 267, 7132, 789, 616, 7168, 543, 950, 19806, 4040, 267, 29549, 269, 1358, 849, 6492, 8748, 267, 6151, 610, 11273, 899, 3532, 267, 855, 25188, 2370, 24453, 269, 769, 5986, 789, 21352, 909, 269, 1358, 616, 1152, 2139, 585, 2110, 12405, 2899, 610, 7466, 513, 1032, 563, 289, 7867, 21060, 1107, 4016, 547, 835, 540, 519, 1079, 2249, 540, 10538, 602, 729, 2899, 2442, 267, 855, 814, 17379, 538, 2956, 269, 1703, 513, 1896, 8677, 267, 782, 540, 799, 1332, 593, 1507, 28033, 4054, 269, 2368, 3100, 547, 581, 5065, 547, 22236, 3624, 543, 22070, 3127, 267, 855, 519, 3099, 1869, 1034, 1031, 2501, 689 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 310, 312, 17162, 267, 6276, 630, 8687, 273, 268, 9262, 994, 763, 2622, 267, 2966, 547, 1397, 519, 4654, 543, 22463, 883, 799, 634, 3703, 1299, 14579, 6426, 5980, 814, 12261, 519, 14644, 999, 610, 29211, 538, 741, 3892, 454, 270, 634, 2990, 540, 519, 4025, 1141, 5081, 7724, 723, 1044, 4646, 1315, 634, 15510, 540, 1346, 18831, 585, 799, 8747, 723, 1044, 5423, 1299, 519, 3448, 17114, 540, 8567, 267, 10067, 15701, 22675, 543, 623, 12298, 1143, 267, 676, 6276, 19785, 671, 267, 2983, 19212, 547, 519, 10348, 269, 5507, 2433, 6276, 19785, 671, 267, 2235, 320, 476, 7277, 272, 269, 5822, 9990, 630, 14140, 3370, 476, 8146, 279, 1040, 1621, 571, 1386, 4786, 267, 26819, 539, 543, 9788, 6693, 314, 289, 2969, 4932, 3198, 267, 15751, 267, 11911, 2639, 314, 301, 11246, 30316, 12114, 288, 316, 2494, 11245, 19701, 540, 513, 1530, 22770, 4303, 13491, 626, 29966, 538, 6239, 19435, 267, 14466, 7699, 267, 5130, 1107, 5181, 476, 4572, 278, 563, 3519, 22633, 538, 281, 28418, 685, 8241, 4144, 776, 267, 476, 4572, 278, 269, 17638, 2433, 3627, 12448, 267, 1547, 4239, 822, 334, 630, 1220, 1535, 476, 10219, 6515, 1070, 3312, 12308, 20483, 13099, 1229, 12545, 609, 9102, 22099, 630, 2775, 28969, 1070, 5580, 4604, 609, 8227, 779, 25861, 30115, 538, 13504, 2048, 306, 269, 667, 269, 589, 269, 645, 529, 9332, 629, 340, 685, 282, 6032, 476, 1626, 267, 2073, 2073, 6902, 609, 13366, 538, 15513, 610, 13504, 585, 1034, 2395, 1063, 476, 272, 5130, 543, 6693, 294, 6579, 300, 16800, 267, 6307, 630, 5908, 276, 910, 476, 3422, 273, 994, 27839, 20860, 2433, 21662, 517, 1299, 631, 1638, 839, 267, 476, 4350, 273, 269, 9540, 14415, 334, 267, 6486, 609, 1957, 12109, 13827, 267, 2140, 10297, 267, 6032, 269, 6902, 476, 8687, 267, 24323, 2973, 269, 966, 793, 8291, 547, 2140, 2985, 9896, 631, 269, 570, 269, 589, 5386, 5299, 269, 17826, 6273, 676, 519, 2278, 779, 29059, 540, 519, 726, 697, 540, 519, 16971, 1004, 267, 2048, 296, 723, 13986, 547, 2328, 1934, 538, 8964, 930, 540, 519, 4664, 540, 6693, 314, 6347, 309, 6579, 4041, 267, 654, 269, 808, 269, 966, 1421, 476, 6942, 274, 268, 3707, 277, 267, 6037, 1807, 2639, 314, 300, 3041, 31064, 306, 282, 21832, 30316, 12114, 288, 316, 594, 525, 340, 23715, 529, 334, 679, 320, 859, 534, 20782, 2433, 631, 732, 14150, 679, 320, 32646, 657, 10005, 267, 25357, 340, 10775, 320, 32646, 690, 597, 807, 1470, 269, 630, 303, 19948, 5299, 994, 314, 294, 13620, 540, 4460, 538, 519, 25357, 340, 1893, 4940, 17638, 2433, 3703, 543, 14579, 6426, 5980, 267, 476, 5002, 278, 269, 4239, 822, 334, 630, 11260, 1535, 476, 10219, 6515, 1070, 1929, 335, 3109, 2849, 665, 1723, 630, 539, 2471, 543, 12636, 6299, 5523, 264, 609, 575, 2830, 16826, 539, 2140, 547, 4395, 2048, 300, 732, 14150, 685, 282, 513, 1713, 6881, 5299, 27485, 593, 519, 1101, 10145, 676, 519, 6037, 1807, 267, 29966, 5261, 6276, 5164, 527, 1695, 14403, 879, 341, 2967, 14205, 4068, 281, 2048, 29309, 13643, 269, 2060, 6126, 8823, 540, 6693, 301, 21197, 2177, 267, 14731, 21651, 630, 5197, 274, 268, 6942, 280, 994, 4415, 12383, 282, 676, 519, 9406, 4860, 269, 14731, 681, 269, 29337, 267, 667, 269, 667, 269, 21674, 540, 31005, 807, 269, 5507, 2433, 13852, 1299, 18243, 11276, 267, 476, 6977, 278, 269, 4239, 822, 334, 267, 575, 2830, 1577, 339, 1229, 4544, 12308, 630, 539, 2471, 6299, 5523, 267, 8237, 547, 5580, 4745, 1070, 23678, 1386, 2140, 2985, 543, 4395, 7371, 19991, 282, 4484, 12304, 2140, 2985, 282, 6032, 269, 476, 14625, 282, 6902, 1496, 2190, 1107, 17404, 779, 32562, 267, 18584, 4873, 267, 476, 6977, 278, 3910, 6032, 269, 476, 1691, 268, 1428, 10199, 8118, 267, 5216, 3606, 6693, 12569, 5746, 4953, 312, 11123, 11550, 19616, 16249, 8863, 305, 3041, 2316, 3198, 918, 301, 8582, 29612, 12283, 454, 290, 622, 577, 1143, 1433, 538, 519, 631, 4157, 11867, 1893, 267, 3703, 1715, 19892, 269, 15147, 2140, 281, 16902, 340, 631, 4157, 1177, 2967, 269, 5507, 2433, 5980, 585, 26472, 4168, 11310, 267, 476, 5002, 276, 269, 3689, 630, 663, 1152, 24047, 7160, 269, 13660, 1712, 322, 24982, 630, 15757, 1535, 476, 10482, 6515, 1070, 3312, 16009, 12258, 10696, 11369, 1090, 936, 12545, 609, 3109, 4484, 532, 547, 5580, 4604, 267, 2140, 2985, 609, 15739, 564, 2025, 6632, 16826, 540, 519, 25470, 5131, 5783, 5441, 267, 476, 3393, 6032, 267, 6693, 290, 987, 4301, 17030, 267, 962, 2544, 6816, 267, 14466, 7699, 454, 314, 284, 763, 1272, 540, 4906, 2441, 4940, 1401, 5800, 340, 15182, 529, 1496, 328, 4318, 269, 5800, 700, 2946, 517, 267, 962, 2544, 6816, 3910, 9102, 676, 6754, 681, 748, 1088, 267, 21142, 19257, 807, 1299, 3627, 30080, 334, 267, 17030, 11010, 1562, 267, 476, 4198, 271, 269, 10022, 2140, 281, 918, 1575, 320, 28580, 792, 3570, 476, 273, 269, 4239, 822, 334, 267, 5386, 9102, 13869, 6978, 12109, 13827, 267, 588, 17097, 267, 12779, 16541, 532, 547, 17119, 885, 267, 476, 2004, 6032, 267, 11609, 269, 7956, 538, 681, 19660, 13172, 269, 681, 19660, 568, 606, 3243, 1258, 14198, 1893, 9275, 676, 6693, 314, 284, 29409, 1275, 9954, 538, 519, 918, 27376, 1893, 4940, 5136, 320, 14114, 9346, 267, 14466, 7699, 2433, 7826, 17030, 267, 5437, 476, 3707, 276, 269, 4239, 822, 334, 267, 9102, 12109, 13827, 630, 30956, 3737, 267, 26815, 16541, 539, 1070, 678, 821, 334, 267, 476, 5655, 6032, 267, 12779, 16541, 532, 2429, 543, 1507, 2179, 540, 5521, 3441, 693, 8728, 269, 10374, 5931, 676, 519, 7826, 29966, 543, 8059, 626, 28741, 10507, 577, 3916, 2335, 267, 2854, 538, 14235, 630, 528, 693, 2547, 267, 6586, 2719, 18340, 264, 538, 918, 27376, 267, 513, 30017, 334, 6261, 565, 2106, 14198, 6693, 290, 4629, 310, 4041, 312, 267, 22176, 3563, 630, 6942, 276, 268, 3707, 278, 994, 299, 9200, 595, 6717, 18958, 311, 7656, 2433, 519, 3883, 540, 700, 625, 267, 799, 568, 849, 7301, 569, 1572, 267, 6601, 6545, 2433, 519, 32603, 902, 610, 535, 1023, 5874, 540, 519, 835, 2219, 540, 2605, 831, 3131, 706, 571, 2692, 267, 799, 2219, 568, 3294, 2150, 4902, 563, 26780, 2433, 654, 1408, 663, 267, 476, 4489, 274, 269, 3689, 7160, 269, 13660, 1712, 322, 24982, 630, 13970, 1535, 476, 4817, 6515, 1070, 3312, 3109, 11369, 1090, 936, 12545, 630, 25468, 619, 536, 22981, 264, 609, 575, 2830, 16826, 539, 12266, 23732, 543, 4484, 532, 547, 5580, 4604, 267, 12636, 609, 575, 2830, 4484, 532, 630, 320, 959, 604, 548, 12816, 693, 2212, 543, 2766, 1070, 6032, 269, 476, 14530, 267, 2073, 609, 1079, 796, 333, 3518, 1229, 3762, 540, 10824, 630, 3000, 5255, 4435, 2584, 690, 9545, 999, 540, 18844, 2917, 593, 513, 1810, 4486, 6693, 306, 4696, 5085, 2207, 267, 29312, 594, 630, 289, 6350, 17632, 476, 14028, 271, 910, 476, 8182, 271, 270, 8182, 272, 24131, 264, 630, 1440, 5793, 994, 2750, 574, 1756, 2624, 527, 1756, 694, 340, 635, 754, 26559, 740, 19468, 1170, 9874, 314, 332, 316, 5033, 704, 7910, 655, 1546, 328, 2637, 527, 878, 655, 25795, 600, 9889, 573, 773, 812, 324, 642, 14988, 545, 564, 267, 1035, 26751, 704, 328, 267, 27394, 1875, 590, 13741, 11294, 529, 5884, 24650, 6693, 314, 338, 7456, 20426, 2433, 594, 334, 2335, 525, 19759, 2401, 1496, 10623, 316, 31842, 1696, 2300, 644, 527, 267, 15921, 17658, 850, 326, 1470, 590, 5861, 8160, 1421, 1496, 15132, 320, 476, 14689, 271, 4940, 13660, 1712, 322, 24982, 630, 12208, 1535, 476, 3583, 6515, 1070, 7601, 23678, 1386, 2582, 6656, 15841, 593, 2663, 2261, 16940, 1957, 25380, 282, 538, 5824, 282, 7829, 5957, 267, 513, 6263, 2179, 540, 1257, 2530, 693, 519, 17119, 885, 269, 634, 17002, 543, 23678, 591, 3967, 630, 297, 2129, 2335, 525, 264, 590, 12818, 518, 594, 630, 289, 6350, 17632, 476, 14028, 271, 1107, 476, 8182, 271, 270, 8182, 272, 24131, 264, 729, 513, 6693, 300, 24518, 7495, 8780, 8863, 7838, 6224, 630, 301, 11246, 30316, 12114, 288, 994, 314, 301, 11246, 30316, 12114, 288, 282, 631, 3041, 31064, 306, 316, 589, 6396, 626, 1728, 19282, 1433, 538, 533, 573, 329, 514, 2296, 585, 946, 538, 5692, 2533, 4371, 585, 25034, 3293, 2978, 537, 516, 3464, 563, 290, 1478, 2140, 281, 589, 5450, 617, 626, 1864, 1207, 330, 269, 5689, 752, 10044, 267, 15887, 4954, 2433, 7179, 539, 543, 3370, 676, 519, 6396, 626, 17030, 267, 476, 4350, 273, 269, 3689, 7160, 630, 286, 1040, 13660, 1712, 322, 24982, 630, 14028, 1535, 476, 10755, 6515, 1070, 3312, 9102, 6960, 12109, 13827, 630, 560, 7134, 267, 1957, 2530, 2059, 12636, 1070, 3312, 19173, 11006, 630, 5979, 657, 2989, 1070, 6032, 2073, 476, 1321, 282, 3762, 1033, 3737, 689, 12109, 13827, 267, 855, 9115, 2347, 282, 630, 1492, 15186, 9115, 689, 513, 2034, 5299, 6693, 310, 30204, 2207, 267, 744, 269, 630, 302, 24249, 994, 10468, 684, 2763, 18255, 918, 6914, 538, 10787, 321, 754, 30638, 5378, 1917, 548, 527, 754, 655, 7956, 269, 6154, 756, 4026, 708, 6601, 529, 326, 879, 281, 4173, 1457, 779, 3832, 7638, 25419, 3333, 663, 331, 2426, 267, 476, 6642, 275, 269, 14066, 14415, 334, 630, 20542, 1535, 476, 20720, 6515, 1070, 3368, 575, 2830, 8573, 27968, 3039, 12308, 936, 9102, 13099, 1229, 12545, 267, 12636, 609, 575, 2830, 4484, 532, 543, 15022, 3512, 267, 6032, 476, 1240, 630, 842, 1238, 2563, 1257, 543, 3137, 540, 1142, 4786, 1070, 4553, 676, 2407, 22240, 5750, 609, 1920, 3529, 540, 519, 7826, 1019, 665, 525, 525, 538, 5245, 543, 6693, 2704, 321, 18210, 1820, 8523, 267, 7047, 324, 632, 1471, 924, 3898, 267, 476, 8287, 1535, 476, 10441, 6515, 630, 25236, 5148, 1100, 23031, 779, 29501, 282, 2357, 810, 540, 4410, 609, 4628, 4207, 30115, 538, 13504, 281, 2048, 6124, 5783, 267, 590, 269, 962, 541, 571, 267, 8118, 538, 5463, 269, 476, 5908, 277, 585, 3465, 2421, 614, 1014, 10847, 267, 519, 4860, 323, 269, 6723, 27963, 773, 267, 10579, 685, 282, 513, 24077, 1820, 538, 5386, 2783, 269, 589, 1360, 2038, 8523, 540, 519, 3162, 962, 541, 571, 3465, 2421, 614, 1014, 6693, 293, 308, 16281, 32602, 301, 267, 32572, 654, 563, 303, 1137, 689, 519, 717, 9790, 6199, 6426, 540, 476, 5655, 3515, 2433, 476, 1839, 1795, 13678, 3796, 689, 519, 5299, 538, 519, 4937, 634, 1670, 12054, 2435, 267, 1715, 3840, 563, 6124, 3840, 2433, 634, 670, 269, 654, 269, 14355, 7577, 267, 476, 3707, 271, 269, 23205, 1470, 267, 17404, 779, 15454, 13099, 1229, 12545, 267, 5580, 4604, 543, 12636, 1577, 339, 1229, 538, 575, 2830, 630, 338, 7342, 547, 8728, 543, 12636, 267, 1507, 1216, 12962, 2282, 2766, 540, 12636, 1070, 2073, 30619, 309, 6032, 267, 11609, 609, 7990, 1795, 13678, 850, 10824, 593, 1142, 2985, 282, 24323, 29814, 267, 513, 5386, 5299, 269, 2290, 540, 476, 1220, 271, 12215, 269, 968, 26261, 267, 476, 273, 6261, 14877, 6693, 28765, 267, 4860, 269, 7917, 454, 763, 7013, 1158, 2433, 4760, 540, 513, 1244, 16615, 689, 24380, 2917, 534, 10985, 547, 5245, 543, 2717, 29498, 807, 2433, 1519, 711, 1182, 540, 513, 3643, 547, 519, 4154, 4610, 454, 26780, 2433, 16803, 267, 17566, 267, 543, 3213, 1421, 476, 6977, 275, 269, 3689, 7160, 269, 4239, 822, 334, 267, 3312, 3368, 3109, 2849, 665, 1723, 936, 12308, 12545, 630, 13041, 5523, 1070, 12636, 609, 575, 2830, 1577, 339, 1229, 2140, 543, 2048, 289, 2465, 577, 10290, 23723, 2801, 636, 8730, 536, 5407, 779, 19044, 540, 5489, 332, 1245, 543, 2487, 1433, 30066, 547, 4395, 2250, 539, 1144, 267, 513, 1906, 13524, 2540, 2377, 1601, 539, 22827, 630, 289, 2465, 577, 10290, 23723, 2801, 636, 1070, 6032, 269, 476, 29900, 282, 24323, 2973, 269, 1323, 2272, 540, 519, 22116, 540, 4860, 269, 6693, 16598, 310, 299, 2207, 267, 6723, 630, 9692, 276, 268, 5908, 280, 994, 314, 313, 12778, 26113, 316, 634, 31414, 540, 519, 7642, 267, 16832, 585, 519, 5826, 540, 519, 17557, 3924, 540, 519, 7276, 6902, 543, 1034, 13886, 547, 519, 1489, 540, 519, 3703, 13780, 563, 26780, 2433, 570, 269, 543, 654, 269, 4425, 821, 267, 1715, 20607, 9335, 267, 476, 7277, 278, 269, 4239, 822, 334, 267, 771, 20129, 267, 6032, 17488, 267, 476, 1789, 282, 2140, 609, 15558, 1154, 693, 15174, 543, 2451, 14345, 267, 3116, 513, 1360, 1434, 5299, 269, 31924, 4211, 20325, 601, 6723, 717, 1177 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 500, 27730, 19764, 493, 8863, 5141, 476, 274, 476, 7430, 356, 23989, 7430, 499, 11210, 490, 11210, 489, 12530, 493, 12530, 511, 11210, 366, 12530, 367, 25060, 500, 11210, 351, 12530, 360, 11210, 511, 12530, 360, 28374, 13601, 31801, 362, 7430, 356, 7430, 480, 11210, 489, 12486, 594, 16810, 3722, 12571, 491, 7430, 363, 12530, 486, 12530, 359, 11210, 363, 12530, 511, 12530, 511, 12530, 350, 11210, 379, 12530, 367, 630, 339, 5341, 3271, 558, 996, 2033, 264, 476, 7430, 356, 7430, 480, 11210, 488, 18998, 12530, 486, 12530, 359, 12530, 493, 12530, 511, 12530, 350, 11210, 379, 12530, 367, 7430, 360, 26166, 421, 350, 508, 7430, 499, 11210, 490, 11210, 489, 12486, 269, 634, 11066, 2497, 2337, 1174, 875, 519, 32447, 9211, 616, 3238, 538, 3114, 16345, 269, 7046, 2707, 3301, 799, 596, 666, 946, 547, 3362, 1711, 513, 4190, 3896, 267, 5816, 267, 610, 813, 269, 14822, 3442, 519, 3135, 14282, 596, 281, 18846, 282, 1351, 341, 718, 529, 270, 531, 321, 1415, 563, 5226, 924, 12777, 621, 779, 950, 519, 1775, 276, 568, 5488, 630, 520, 2547, 585, 519, 4247, 596, 2461, 4881, 593, 621, 264, 543, 5924, 3096, 1447, 1379, 269, 476, 272, 575, 540, 10878, 5141, 543, 476, 1015, 20853, 540, 476, 272, 269, 21069, 5020, 670, 9476, 1305, 345, 339, 620, 338, 30323, 332, 1468, 5884, 530, 2129, 331, 1655, 523, 670, 261, 26727, 282, 331, 10045, 3541, 654, 3881, 32489, 1107, 21069, 325, 747, 1084, 3768, 2717, 1046, 3971, 1716, 513, 639, 3954, 654, 261, 25248, 282, 671, 1716, 631, 8636, 1409, 4883, 4133, 269, 1299, 26289, 274, 282, 261, 3953, 282, 7661, 267, 606, 2626, 547, 519, 2243, 602, 781, 1044, 7138, 1782, 596, 782, 713, 942, 269, 5788, 8382, 281, 8863, 5141, 274, 568, 513, 8701, 11140, 1813, 547, 519, 1804, 18546, 821, 326, 18356, 3017, 1063, 7250, 630, 273, 269, 634, 3339, 14495, 1448, 585, 8392, 334, 845, 568, 476, 8618, 269, 4746, 267, 1577, 781, 711, 7340, 602, 899, 782, 824, 6675, 267, 972, 616, 849, 11709, 3541, 269, 19415, 585, 1863, 547, 741, 5925, 2982, 267, 29382, 3575, 5036, 543, 23093, 4751, 338, 563, 1607, 4570, 1807, 11974, 519, 1665, 1575, 14496, 540, 5680, 6054, 538, 14103, 267, 2473, 12487, 7876, 267, 15382, 6579, 267, 4569, 7876, 267, 3092, 269, 6902, 1875, 1790, 6897, 7755, 269, 8210, 342, 261, 25248, 282, 3944, 2426, 3154, 325, 261, 26727, 282, 3944, 9528, 2405, 1329, 1107, 688, 340, 14186, 261, 25248, 282, 577, 28727, 14780, 636, 1663, 1111, 1107, 552, 532, 525, 28856, 339, 269, 634, 21069, 18124, 568, 10416, 513, 28581, 4670, 585, 1453, 540, 782, 6502, 1519, 8885, 543, 708, 476, 10463, 269, 898, 568, 835, 540, 519, 2185, 8392, 558, 996, 6951, 269, 634, 3017, 1063, 8701, 543, 1875, 1790, 6897, 6675, 568, 519, 3803, 5279, 3361, 676, 519, 32128, 6125, 269, 1703, 616, 1082, 1919, 602, 3313, 2436, 1945, 568, 8701, 610, 1875, 335, 6897, 267, 971, 607, 519, 3114, 2497, 540, 519, 11140, 563, 763, 1079, 8444, 4625, 2671, 9211, 269, 595, 322, 1923, 1299, 13136, 282, 1499, 28856, 684, 2102, 535, 261, 21857, 282, 337, 1412, 12061, 335, 6897, 11254, 3679, 262, 708, 1546, 28852, 5174, 592, 3258, 27688, 8862, 261, 26727, 282, 337, 614, 321, 1276, 267, 5378, 20192, 1084, 1975, 571, 577, 31348, 333, 1695, 5443, 267, 16503, 1674, 523, 267, 2142, 1872, 31258, 845, 523, 11783, 670, 339, 332, 8923, 1331, 621, 607, 513, 3095, 593, 707, 3896, 610, 607, 513, 4704, 538, 707, 1867, 267, 3561, 267, 610, 5098, 269, 29583, 585, 606, 5007, 3896, 602, 568, 711, 9738, 676, 519, 772, 269, 1284, 786, 16926, 945, 1197, 270, 3369, 727, 591, 596, 4363, 269, 2311, 14822, 5253, 7813, 267, 649, 3494, 602, 1426, 543, 1072, 616, 2596, 1480, 2924, 585, 782, 269, 6423, 811, 7044, 585, 6348, 335, 6897, 269, 2311, 713, 1448, 267, 621, 568, 2693, 711, 2556, 547, 917, 782, 540, 873, 267, 855, 789, 616, 782, 7396, 1934, 547, 849, 4196, 607, 4704, 563, 8340, 645, 5456, 12478, 585, 1970, 5777, 538, 23242, 10591, 267, 8516, 3937, 267, 3742, 813, 28328, 267, 543, 7328, 10391, 10887, 543, 1579, 1846, 269, 11906, 6125, 589, 3114, 6125, 568, 513, 9434, 16007, 1063, 8444, 267, 12274, 610, 6675, 602, 6087, 519, 5250, 540, 3114, 7135, 269, 12414, 707, 6049, 883, 513, 8516, 3950, 518, 609, 21069, 19468, 267, 519, 10700, 1863, 8516, 267, 4881, 267, 543, 15904, 813, 269, 5788, 6034, 539, 676, 13744, 553, 3331, 483, 12027, 331, 1495, 269, 15012, 595, 2293, 5028, 585, 1863, 543, 1451, 2228, 269, 1975, 29107, 25103, 563, 16521, 689, 1079, 5498, 520, 267, 2407, 20695, 543, 595, 3918, 310, 3631, 269, 634, 11062, 4804, 5004, 3590, 630, 12710, 5960, 264, 568, 513, 7347, 3760, 602, 6585, 1576, 1543, 267, 2326, 543, 7245, 538, 835, 3593, 7888, 2228, 1062, 269, 4937, 6609, 25914, 334, 845, 568, 513, 19979, 8392, 3990, 5214, 19857, 4171, 269, 966, 777, 712, 2604, 540, 8392, 334, 845, 630, 6224, 5141, 274, 264, 663, 27524, 3271, 558, 996, 2033, 263, 6224, 273, 5141, 273, 264, 693, 476, 29218, 918, 616, 476, 1220, 6515, 29666, 543, 476, 25870, 6515, 29666, 6606, 269, 661, 570, 568, 519, 5912, 1648, 1063, 519, 2666, 1533, 543, 519, 9803, 9599, 1533, 538, 737, 5632, 8276, 565, 267, 543, 630, 1789, 264, 14439, 519, 20004, 563, 303, 6897, 966, 656, 720, 966, 273, 476, 273, 269, 24226, 478, 6893, 356, 16055, 485, 6893, 504, 16055, 482, 6893, 489, 6893, 499, 16055, 490, 6893, 480, 6893, 511, 6893, 485, 16055, 478, 6893, 352, 32453, 6893, 486, 6893, 364, 6893, 486, 6893, 365, 6893, 498, 16055, 478, 6893, 479, 16055, 485, 6893, 504, 6893, 482, 6893, 372, 6893, 479, 6893, 479, 6893, 369, 16055, 487, 16055, 478, 6893, 508, 6893, 371, 16055, 486, 6893, 511, 6893, 356, 6893, 365, 6893, 499, 6893, 500, 6893, 372, 6893, 505, 6893, 352, 6893, 364, 6893, 359, 6893, 485, 6893, 482, 16055, 490, 16055, 481, 6893, 503, 6893, 479, 32453, 6893, 352, 6893, 505, 6893, 352, 6893, 365, 6893, 504, 269, 769, 8863, 274, 5141, 267, 519, 595, 4211, 331, 6125, 568, 8701, 269, 5788, 595, 5141, 275, 3436, 8863, 5141, 274, 3436, 8863, 273, 5141, 273, 3436, 8863, 274, 5141, 568, 519, 13302, 1931, 540, 14495, 1448, 538, 10300, 334, 1779, 6951, 269, 1133, 572, 516, 654, 261, 25248, 282, 3944, 564, 9476, 7815, 563, 2171, 2709, 589, 5425, 3446, 30177, 267, 13666, 8084, 267, 606, 5139, 9317, 267, 543, 2825, 3446, 30177, 585, 782, 3114, 2872, 2115, 269, 769, 1249, 267, 8392, 334, 845, 729, 2899, 4122, 1031, 607, 606, 606, 20469, 585, 1175, 891, 595, 10064, 1244, 7675, 2360, 269, 589, 4625, 8701, 6125, 568, 811, 7157, 1572, 606, 25617, 6125, 267, 543, 4386, 950, 519, 3017, 1063, 18546, 821, 326, 520, 8481, 568, 1804, 2614, 602, 835, 11046, 2965, 3217, 606, 6475, 689, 519, 824, 269, 10001, 302, 589, 304, 2608, 744, 744, 286, 6348, 335, 6897, 7623, 281, 513, 7623, 7768, 540, 6675, 602, 4865, 513, 21136, 3892, 540, 5279, 267, 865, 602, 1100, 2318, 610, 2942, 18635, 2291, 267, 543, 602, 616, 711, 9357, 14184, 538, 3070, 267, 585, 1383, 267, 30691, 269, 2755, 7554, 1063, 9838, 8444, 971, 607, 1079, 540, 7250, 616, 30788, 7833, 538, 602, 1312, 7250, 8444, 616, 30788, 9243, 267, 7554, 1063, 8444, 540, 1114, 2609, 616, 30788, 6528, 20884, 563, 261, 26289, 274, 282, 261, 3953, 282, 5978, 6555, 2888, 269, 3038, 9926, 340, 16660, 3148, 261, 18597, 282, 15238, 261, 26801, 282, 513, 544, 384, 505, 7370, 330, 261, 18597, 282, 751, 4582, 714, 333, 261, 26801, 282, 642, 903, 261, 26801, 282, 331, 261, 18597, 282, 333, 261, 26801, 282, 267, 642, 10455, 261, 18597, 282, 321, 261, 26801, 282, 9070, 320, 25155, 333, 261, 26801, 282, 513, 795, 514, 261, 22001, 282, 2756, 641, 334, 385, 503, 8014, 513, 512, 752, 261, 22001, 282, 1064, 5652, 14654, 16660, 4950, 990, 261, 22001, 282, 22376, 385, 378, 2421, 269, 13870, 281, 630, 308, 269, 634, 9211, 689, 7250, 616, 2016, 547, 5135, 563, 10666, 519, 11062, 700, 5960, 269, 23834, 302, 5398, 19534, 269, 3689, 7762, 689, 3245, 295, 749, 799, 6603, 519, 1283, 476, 2004, 269, 1717, 267, 1082, 1053, 6560, 547, 1174, 519, 10570, 2609, 543, 519, 3604, 1063, 519, 1585, 2010, 540, 7554, 269, 2290, 540, 519, 1806, 585, 513, 1875, 8701, 11140, 729, 570, 25523, 18608, 558, 996, 2033, 630, 290, 5141, 275, 1040, 14576, 4433, 264, 12182, 28688, 267, 634, 21069, 18124, 269, 18391, 585, 21069, 670, 1015, 9839, 15580, 18554, 286, 594, 6415, 20994, 594, 2451, 1510, 596, 2063, 3781, 267, 855, 594, 5143, 596, 547, 2743, 803, 2038, 1317, 519, 1397, 3323, 693, 476, 279, 281, 876, 563, 3528, 32020, 584, 29583, 25475, 14076, 340, 269, 4033, 1806, 540, 8701, 6675, 1331, 20342, 267, 19844, 267, 16247, 8166, 267, 543, 7250, 30423, 269, 670, 267, 4564, 519, 3044, 6678, 531, 6853, 540, 5250, 540, 8863, 5141, 274, 10857, 264, 693, 476, 1839, 269, 16179, 2228, 610, 538, 3613, 648, 2336, 308, 302, 10238, 1080, 7130, 593, 519, 4493, 540, 5198, 267, 2681, 267, 3023, 267, 3084, 610, 6803, 5169, 267, 2085, 267, 4984, 267, 29281, 4567, 267, 9659, 267, 25982, 4567, 267, 4638, 10066, 267, 4008, 3961, 267, 543, 4008, 4082, 538, 782, 3292, 267, 2238, 543, 7694, 2853, 607, 2838, 676, 7170, 26577, 267, 824, 10858, 4031, 267, 543, 4507, 269, 476, 2537, 693, 519, 4090, 25618, 344, 1215, 1281, 621, 1847, 286, 630, 12061, 335, 6897, 606, 4594, 13799, 267, 1875, 335, 6897, 3824, 559, 714, 806, 328, 267, 3824, 559, 714, 1027, 324, 1875, 335, 6897, 267, 1875, 335, 6897, 562, 526, 1040, 634, 4162, 540, 8444, 543, 875, 789, 6125, 1118, 909, 519, 2596, 13210, 540, 1272, 269, 634, 1292, 1079, 2010, 540, 7554, 547, 1451, 616, 25617, 543, 32128, 267, 543, 789, 616, 519, 16999, 2010, 540, 7554, 269, 3331, 479, 562, 19508, 560, 320, 3331, 350, 686, 2357, 32244, 320, 15073, 32244, 514, 554, 1495, 571, 32244, 3331, 350, 337, 521, 6403, 32244, 534, 986, 325, 560, 7238, 32244, 514, 3331, 511, 11875, 328, 32244, 320, 5451, 6113, 531, 15254, 642, 6403, 326, 32244, 563, 2304, 1383, 568, 27524, 565, 528, 8364, 321, 2940, 267, 1849, 476, 273, 595, 269, 476, 275, 856, 540, 476, 276, 6801, 476, 272, 267, 15946, 476, 279, 269, 645, 4637, 602, 616, 14356, 25617, 616, 1572, 8701, 32128, 7554, 563, 12585, 281, 8863, 5141, 274, 630, 25914, 334, 845, 3738, 568, 513, 32128, 6125, 1548, 568, 3114, 6125, 267, 25617, 6125, 267, 32128, 6125, 286, 623, 5357, 2752, 14247, 683, 329, 341, 384, 505, 339, 20795, 261, 26801, 282, 6204, 330, 668, 261, 18597, 282, 751, 4582, 714, 333, 261, 26801, 282, 838, 1961, 25155, 333, 739, 642, 5651, 822, 12921, 657, 548, 345, 12921, 261, 22001, 282, 332, 737, 571, 10202, 269, 6258, 6863, 267, 2474, 267, 543, 811, 609, 15460, 267, 3756, 267, 543, 824, 1353, 2645, 269, 4855, 1546, 1023, 593, 21069, 538, 7731, 23861, 338, 593, 8835, 269, 4475, 519, 11066, 12856, 540, 25914, 334, 845, 568, 281, 1306, 596, 666, 1294, 267, 972, 616, 2185, 7554, 538, 8863, 5141, 274, 855, 1079, 1114, 7554, 281, 595, 6953, 543, 595, 4211, 331, 269, 8080, 547, 21069, 781, 4567, 2985, 267, 799, 3568, 1483, 6066, 1344, 593, 519, 15399, 830, 543, 4567, 540, 938, 2228, 2533, 543, 5985, 3156, 269, 8347, 519, 6159, 12127, 4289, 813, 9732, 15692, 25515, 14160, 269, 623, 5357, 2752, 594, 267, 5442, 290, 563, 303, 6897, 20465, 5641, 543, 12284, 17099, 267, 1519, 11051, 267, 957, 19843, 267, 19971, 267, 5830, 543, 811, 269, 589, 11140, 949, 581, 1875, 335, 6897, 2901, 950, 972, 568, 606, 3160, 4687, 540, 9211, 1063, 519, 1079, 8444, 540, 513, 1019, 30061, 11140, 610, 1317, 540, 519, 27101, 11460, 540, 8701, 7554, 538, 513, 811, 1950, 11140, 269, 12791, 540, 1875, 335, 6897, 563, 4263, 1682, 2874, 540, 22571, 267, 9211, 543, 25268, 269, 3502, 9357, 1944, 950, 15702, 538, 1216, 269, 774, 514, 4494, 24885, 4919, 2079, 540, 6617, 540, 1225, 322, 6058, 543, 1225, 322, 6058, 538, 29018, 1310, 17406, 532, 538, 1216, 543, 1210, 5595, 5985, 5123, 1310, 8022, 538, 17580, 11041, 269, 4340, 547, 519, 5082, 337, 821 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 288, 17714, 547, 519, 12815, 454, 5629, 2390, 513, 942, 267, 513, 30152, 2244, 1572, 18629, 24428, 513, 3304, 9317, 14951, 602, 9676, 519, 12271, 540, 1082, 269, 3143, 267, 594, 6415, 711, 13288, 547, 519, 535, 12574, 18206, 540, 519, 595, 19879, 267, 855, 2864, 267, 519, 25713, 15564, 25378, 4224, 13463, 1233, 13039, 540, 700, 531, 756, 11253, 269, 13488, 1394, 538, 942, 609, 803, 267, 15210, 7045, 337, 267, 607, 649, 2263, 891, 11265, 2261, 12069, 543, 796, 24160, 519, 8941, 602, 3295, 873, 563, 3963, 700, 531, 756, 11253, 286, 589, 3778, 7689, 454, 763, 1650, 5956, 609, 519, 3134, 11345, 14610, 267, 3751, 700, 531, 756, 11253, 540, 519, 2098, 698, 933, 15913, 267, 945, 4956, 547, 1711, 513, 834, 6124, 13243, 257, 538, 18629, 1282, 519, 476, 1321, 628, 543, 476, 1724, 628, 5553, 269, 634, 2601, 286, 4168, 19623, 1137, 547, 519, 5664, 5101, 2968, 5051, 829, 559, 748, 1813, 547, 519, 5571, 5880, 3547, 543, 7526, 269, 4935, 267, 700, 531, 756, 11253, 729, 4535, 267, 543, 609, 621, 267, 513, 3126, 540, 476, 1556, 26832, 13039, 14155, 730, 2047, 883, 519, 2295, 540, 519, 7831, 320, 15142, 563, 10111, 1324, 4934, 513, 22684, 454, 3086, 267, 4952, 713, 281, 596, 2811, 606, 4056, 25461, 609, 8888, 513, 5939, 269, 1411, 4312, 3893, 707, 22796, 267, 1957, 267, 543, 513, 2462, 3625, 540, 6149, 269, 1809, 3079, 540, 14335, 513, 2679, 689, 519, 2666, 909, 267, 596, 2811, 5143, 547, 1286, 557, 621, 856, 540, 519, 5127, 13702, 269, 7316, 798, 596, 1256, 2253, 286, 4270, 267, 602, 781, 10502, 1018, 519, 16413, 540, 700, 531, 756, 11253, 1705, 267, 543, 7911, 267, 1705, 789, 5838, 2336, 10376, 5939, 6763, 607, 513, 15266, 547, 519, 5578, 543, 8990, 540, 519, 13492, 5443, 945, 547, 6150, 2476, 267, 669, 529, 9934, 543, 26002, 741, 23543, 883, 519, 796, 344, 1752, 532, 4224, 269, 1452, 13039, 616, 711, 1175, 17860, 1795, 3547, 267, 1250, 3659, 269, 3143, 267, 789, 616, 2347, 3889, 609, 10562, 20830, 267, 9486, 267, 543, 1256, 12775, 1949, 269, 1215, 789, 7307, 547, 9585, 971, 513, 9028, 1510, 519, 5351, 540, 2413, 2029, 610, 10143, 6304, 3788, 513, 9814, 547, 713, 1554, 563, 763, 24656, 569, 1306, 1417, 454, 763, 3460, 547, 700, 531, 756, 11253, 568, 711, 585, 519, 25861, 540, 2295, 267, 607, 621, 3322, 10188, 30217, 748, 9897, 267, 14869, 13141, 1149, 267, 543, 519, 17573, 1810, 4486, 6808, 25888, 269, 1809, 4250, 711, 267, 585, 2899, 596, 6952, 513, 19214, 540, 891, 4224, 13463, 1233, 28986, 267, 782, 519, 8062, 543, 5513, 2827, 540, 3478, 972, 786, 723, 1044, 4502, 621, 563, 26796, 21945, 267, 596, 3513, 581, 30870, 676, 519, 4102, 543, 1034, 4583, 540, 519, 13039, 267, 853, 269, 6723, 781, 269, 1744, 9464, 899, 513, 3444, 267, 621, 568, 513, 8289, 547, 1531, 1245, 267, 609, 922, 6946, 1286, 19133, 543, 25412, 4527, 269, 898, 568, 1767, 602, 853, 269, 6723, 5128, 22651, 519, 13675, 547, 519, 5939, 267, 855, 620, 553, 267, 646, 781, 4440, 593, 513, 6995, 2736, 950, 596, 12446, 563, 288, 6997, 31307, 540, 18321, 454, 2026, 596, 3136, 547, 2263, 519, 3135, 267, 596, 3513, 3605, 519, 13039, 616, 4448, 676, 513, 3126, 540, 7522, 25310, 543, 512, 29168, 267, 2870, 513, 28618, 6438, 1995, 602, 1131, 1256, 1118, 1452, 639, 2736, 513, 17570, 269, 1809, 4250, 711, 267, 585, 2199, 10274, 543, 741, 3972, 344, 8755, 7547, 786, 1291, 596, 998, 519, 14334, 543, 883, 519, 1769, 540, 1142, 10723, 25113, 563, 5415, 20537, 2725, 1115, 519, 16685, 454, 4407, 519, 13039, 540, 700, 531, 756, 11253, 616, 17216, 513, 8289, 547, 1531, 1245, 267, 789, 849, 4196, 607, 606, 3742, 1747, 540, 10847, 543, 31145, 585, 519, 15337, 1014, 18179, 4168, 2146, 269, 1306, 971, 267, 596, 949, 7237, 26112, 546, 1905, 539, 538, 3043, 3775, 525, 267, 669, 13589, 19001, 267, 543, 8781, 1651, 1619, 1369, 519, 554, 9994, 539, 31508, 269, 901, 5289, 5605, 4800, 1152, 8591, 547, 519, 824, 16447, 569, 5790, 267, 1818, 596, 1745, 607, 952, 596, 4312, 22283, 883, 606, 18518, 13643, 4670, 563, 303, 24411, 25198, 281, 1879, 547, 3619, 543, 1215, 547, 5192, 1703, 454, 3086, 602, 596, 2811, 669, 558, 4771, 693, 519, 3787, 547, 7832, 593, 707, 1378, 7045, 547, 700, 531, 756, 11253, 267, 1577, 781, 1865, 519, 4052, 885, 269, 634, 1655, 942, 547, 3643, 568, 1282, 519, 3819, 4005, 267, 799, 3335, 8255, 689, 5239, 547, 5988, 269, 901, 786, 711, 1152, 1118, 519, 3460, 811, 6899, 855, 849, 1450, 596, 547, 4628, 5660, 519, 10875, 5251, 1510, 1373, 546, 27221, 538, 513, 8731, 1370, 658, 1524, 335, 712, 563, 2026, 585, 3478, 972, 267, 519, 1034, 3551, 4781, 568, 547, 8038, 883, 700, 531, 756, 11253, 23076, 267, 799, 568, 1425, 5367, 676, 15337, 1014, 5794, 6050, 269, 1717, 267, 585, 1346, 5275, 513, 811, 8076, 1995, 267, 596, 949, 1904, 585, 519, 936, 1633, 3460, 267, 799, 3322, 513, 4999, 540, 21772, 267, 1295, 756, 1380, 525, 267, 543, 3838, 3454, 529, 269, 3807, 581, 5423, 585, 930, 536, 17056, 26055, 267, 791, 668, 696, 340, 19880, 9397, 267, 543, 606, 20605, 7045, 2336, 3383, 267, 972, 596, 723, 621, 267, 1250, 703, 516, 3671, 24413, 269, 634, 4224, 13463, 1233, 13039, 540, 700, 531, 756, 11253, 616, 5963, 513, 8289, 3564, 942, 267, 5356, 513, 2189, 19214, 883, 18629, 781, 3638, 1686, 267, 3909, 4644, 267, 543, 11265, 23258, 269, 6787, 596, 2811, 513, 1686, 10889, 267, 606, 6189, 562, 518, 323, 267, 610, 3274, 513, 26497, 5498, 2131, 518, 3168, 585, 519, 1985, 7045, 267, 700, 531, 756, 11253, 568, 1134, 4502, 519, 3460, 269, 9137, 24963, 3177, 676, 1250, 325, 822, 712, 924, 3128, 338, 2593, 0, 25821, 7763, 832, 281, 7169, 1944, 18815, 609, 4400, 21252, 454, 25821, 16546, 723, 1831, 519, 6117, 3196, 3297, 519, 4028, 4720, 540, 6283, 1949, 269, 2060, 741, 3608, 2773, 543, 3875, 2640, 267, 3167, 27668, 543, 5397, 10177, 1231, 616, 13321, 519, 1259, 649, 2951, 269, 769, 713, 2376, 267, 649, 786, 2263, 519, 5383, 540, 3167, 16546, 543, 741, 1764, 593, 1585, 12331, 540, 6283, 563, 25821, 11330, 13955, 281, 5295, 532, 519, 8892, 454, 25821, 27668, 267, 849, 1634, 607, 3167, 5397, 267, 568, 519, 946, 540, 3167, 16546, 547, 1683, 19876, 585, 6472, 269, 9521, 2757, 4835, 13674, 9817, 602, 7048, 593, 8093, 10173, 267, 3167, 27668, 10244, 525, 519, 1379, 540, 5201, 547, 5352, 5163, 269, 901, 6521, 2509, 3167, 16546, 6770, 1896, 1713, 2640, 563, 272, 269, 4400, 21252, 454, 25821, 16546, 616, 12021, 585, 741, 1164, 4398, 269, 9521, 13674, 9817, 267, 799, 3653, 513, 1713, 2179, 540, 1648, 607, 3002, 267, 3167, 16546, 6460, 513, 2362, 6871, 540, 5122, 1648, 883, 3730, 960, 269, 901, 4398, 18922, 883, 4389, 1648, 4616, 543, 2539, 5665, 3790, 563, 273, 269, 7025, 31541, 17349, 454, 3080, 540, 519, 1034, 8903, 5383, 540, 3167, 16546, 568, 741, 2318, 1764, 593, 519, 1604, 269, 1635, 14874, 519, 991, 585, 8093, 10173, 267, 3167, 27668, 3648, 6971, 8511, 3154, 5434, 543, 2011, 5533, 269, 901, 6521, 2509, 15777, 1648, 2959, 568, 2629, 538, 28530, 2916, 1689, 543, 5355, 2011, 2298, 538, 4683, 2127, 563, 274, 269, 24046, 13437, 454, 25821, 5397, 10177, 1231, 2709, 9120, 2773, 3379, 547, 741, 13674, 13413, 269, 11272, 16546, 1683, 8216, 18165, 267, 12419, 2656, 10231, 543, 17841, 7829, 269, 901, 8984, 2306, 3167, 6472, 4998, 585, 2749, 6117, 543, 3247, 7146, 30559, 6808, 3871, 563, 25821, 7763, 832, 538, 15316, 3525, 525, 540, 18815, 454, 763, 2640, 540, 3167, 16546, 8831, 3564, 6517, 269, 1358, 616, 30507, 2789, 12331, 540, 6283, 267, 1519, 912, 272, 269, 11272, 23663, 454, 25821, 6517, 267, 849, 1634, 607, 3167, 6472, 630, 14110, 338, 1070, 616, 4742, 5051, 2442, 1813, 547, 741, 2825, 3659, 17349, 543, 1942, 9806, 269, 2060, 3167, 16546, 1379, 532, 519, 5397, 30221, 267, 12601, 338, 2709, 5347, 543, 14980, 5106, 267, 4642, 2766, 335, 6559, 5434, 267, 543, 4389, 5826, 4170, 269, 1306, 12123, 5989, 5170, 547, 4228, 267, 3167, 6517, 616, 26405, 547, 1831, 519, 2104, 540, 2123, 6283, 563, 273, 269, 11272, 645, 5390, 3380, 454, 25821, 30158, 267, 610, 552, 1532, 10105, 267, 616, 11543, 20086, 5001, 607, 513, 4264, 4244, 547, 2757, 30158, 269, 11272, 16546, 1683, 29465, 12431, 626, 610, 2407, 6253, 8527, 1479, 7207, 267, 1818, 15203, 4443, 543, 811, 3015, 547, 513, 9962, 2039, 540, 2043, 269, 661, 1532, 10105, 616, 3226, 6225, 585, 862, 5024, 543, 10188, 554, 11035, 1768, 23230, 563, 274, 269, 11272, 590, 1723, 582, 619, 454, 25821, 1085, 2393, 619, 723, 1831, 513, 1455, 8289, 538, 1082, 4872, 267, 5356, 513, 10375, 543, 10357, 7888, 7154, 540, 6283, 269, 11272, 16546, 1379, 891, 1085, 2393, 619, 267, 3246, 9602, 5106, 543, 12998, 6954, 26055, 269, 1358, 616, 2523, 2442, 585, 2110, 26591, 15143, 543, 2063, 28902, 14479, 563, 275, 269, 11272, 3004, 1231, 454, 25821, 16546, 723, 1279, 1044, 1031, 538, 14884, 267, 3246, 3608, 543, 6325, 27668, 269, 11272, 14884, 2709, 23704, 26055, 267, 4389, 6846, 2157, 267, 543, 2539, 5826, 3790, 3379, 547, 17088, 14617, 14884, 269, 1306, 2477, 1902, 538, 18546, 4328, 741, 16749, 5121, 267, 519, 2640, 540, 3167, 16546, 538, 713, 6389, 1831, 5051, 7805, 563, 763, 8892, 540, 18815, 454, 25821, 16546, 616, 693, 519, 21282, 540, 519, 6283, 4838, 269, 1306, 2029, 5170, 547, 4434, 267, 649, 666, 2503, 1256, 811, 5499, 3156, 540, 3167, 27668, 543, 5397, 10177, 1231, 269, 3245, 3167, 27858, 547, 14628, 3167, 6472, 267, 519, 7399, 616, 11995, 563, 4415, 741, 1164, 4398, 267, 2825, 3659, 17349, 267, 543, 8476, 2773, 267, 3167, 16546, 616, 18534, 12686, 519, 1259, 649, 1847, 269, 16871, 713, 18546, 1881, 2104, 786, 711, 1152, 4324, 2043, 855, 849, 3565, 547, 513, 811, 4264, 543, 22928, 4541, 269, 0, 17484, 532, 12017, 518, 267, 25947, 12594, 543, 8447, 11314, 267, 543, 26805, 10791, 7304, 601, 730, 15302, 543, 2598, 1706, 885, 454, 4002, 13723, 267, 5181, 476, 2764, 267, 519, 24068, 6953, 1551, 529, 10029, 18799, 519, 6519, 5600, 10985, 593, 12017, 518, 267, 12594, 267, 543, 2657, 269, 634, 10029, 814, 5950, 513, 2817, 15613, 609, 3527, 519, 5313, 2229, 786, 1491, 547, 5397, 3435, 547, 891, 2591, 563, 763, 24068, 6953, 1551, 529, 10029, 814, 849, 5950, 513, 1249, 6656, 24223, 811, 982, 1269, 279, 5479, 538, 1007, 19647, 607, 851, 540, 713, 10985, 779, 1289, 547, 2962, 269, 3367, 519, 1249, 6656, 547, 1451, 811, 563, 27908, 687, 540, 4892, 616, 3413, 21719, 609, 1426, 22584, 543, 2732, 5829, 3676, 2443, 1519, 2295, 2068, 267, 8377, 267, 543, 1826, 476, 273, 3987, 2443, 799, 616, 930, 540, 519, 3056, 3123, 540, 2669, 543, 9659, 538, 519, 772, 2529, 269, 634, 17167, 540, 14000, 543, 891, 3676, 568, 711, 7856, 8449, 267, 25409, 18363, 9207, 5703, 2950, 267, 1519, 2950, 540, 2681, 267, 1004, 2713, 538, 6917, 2127, 267, 1004, 609, 9124, 267, 4587, 4079, 267, 11806, 296, 266, 1004, 267, 4108, 3885, 267, 543, 4108, 18884, 563, 299, 871, 540, 1569, 547, 2635, 267, 2922, 267, 543, 10097, 1426, 267, 543, 547, 2922, 9205, 5624, 267, 8309, 547, 14000, 267, 2732, 5829, 3676, 267, 543, 1072, 13103, 269, 634, 5046, 268, 866, 6855, 814, 28978, 891, 2591, 2417, 563, 2171, 3112, 7227, 547, 957, 269, 1656, 649, 5749, 1406, 269, 0, 29820, 538, 519, 29630, 1014, 15142, 593, 2904, 476, 272, 267, 476, 4489, 279, 267, 538, 22216, 787, 717, 17311, 267, 4639, 9098, 267, 570, 13478, 25885, 269, 22735, 670, 539, 4459, 21821, 539, 538, 519, 2475, 8136, 538, 5181, 476, 3707, 271, 538, 19090, 267, 11882, 267, 1354, 3013, 779, 7127, 883, 519, 2112, 269, 1261, 729, 8655, 547, 519, 476, 20862, 628, 5794, 13871, 32691, 15506, 30119, 543, 10692, 538, 519, 11135, 540, 519, 10089, 613, 4098, 538, 5412, 476, 3707, 275, 269, 634, 1770, 779, 9271, 941, 865, 4049, 602, 519, 476, 20862, 628, 729, 771, 7171, 539, 267, 609, 670, 539, 4459, 5555, 8655, 547, 519, 476, 1704, 628, 5794, 13871, 10406, 538, 519, 476, 3707, 628, 3794, 3187, 32691, 31118, 563, 3528, 5614, 476, 3707, 276, 267, 20466, 4229, 941, 11319 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 16337, 1315, 2622, 9085, 1315, 5664, 5101, 1315, 5527, 1299, 3345, 4000, 1315, 12428, 23397, 538, 5527, 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, 17345, 5149, 281, 29460, 513, 16140, 12577, 26831, 692, 5970, 596, 2479, 9289, 945, 2501, 909, 609, 782, 1346, 5863, 3621, 8906, 543, 18563, 602, 1689, 938, 1158, 286, 769, 713, 1576, 1770, 267, 649, 786, 2263, 519, 2729, 540, 930, 6909, 22697, 543, 21575, 945, 1500, 14262, 7418, 547, 741, 4610, 269, 1284, 3513, 1451, 827, 1018, 6273, 873, 267, 519, 2591, 789, 5185, 267, 543, 875, 789, 4957, 519, 1259, 649, 1174, 519, 7122, 269, 1635, 4974, 741, 2984, 267, 649, 4126, 547, 8300, 596, 547, 11654, 707, 1378, 3621, 1225, 3930, 885, 543, 5310, 835, 1554, 1831, 513, 13009, 4565, 5074, 10196, 3054, 2439, 8893, 476, 272, 281, 1548, 6496, 621, 6875, 547, 28161, 513, 4279, 26831, 2496, 5970, 596, 2479, 2219, 827, 4742, 513, 10196, 950, 596, 1332, 909, 286, 9861, 513, 10196, 3340, 811, 982, 1175, 6616, 513, 2603, 827, 2979, 543, 6323, 269, 4279, 3744, 616, 849, 8049, 267, 5462, 267, 543, 3860, 1966, 1151, 951, 269, 1358, 2307, 2462, 2055, 827, 519, 1158, 1472, 873, 543, 960, 24091, 547, 1265, 4267, 780, 2414, 948, 721, 1732, 1174, 1018, 7592, 1118, 513, 1390, 10196, 267, 1577, 781, 1413, 693, 930, 1483, 3734, 1806, 1384, 265, 15751, 18160, 729, 1634, 585, 1010, 7279, 543, 9345, 269, 4634, 607, 513, 1126, 267, 646, 6068, 547, 4898, 827, 519, 13655, 540, 519, 7122, 543, 6170, 3108, 3206, 827, 1950, 2042, 269, 901, 2038, 1719, 538, 2257, 5555, 3366, 1864, 547, 1020, 519, 3069, 540, 25536, 267, 835, 540, 519, 1079, 22225, 540, 2413, 6323, 630, 1492, 824, 1373, 7061, 11707, 1916, 265, 21322, 4354, 773, 729, 513, 21722, 21997, 543, 2447, 626, 945, 5185, 1082, 9465, 2429, 1200, 4876, 267, 1519, 7130, 1813, 547, 1200, 4008, 543, 22874, 269, 6736, 891, 2591, 267, 1352, 7283, 6131, 547, 1200, 960, 543, 2968, 519, 1101, 1268, 547, 3094, 17587, 30410, 8240, 538, 1079, 1114, 9443, 1107, 6323, 543, 7998, 269, 4173, 8906, 9788, 519, 5748, 585, 519, 1646, 540, 2473, 17530, 543, 2860, 5574, 563, 265, 918, 15811, 9652, 729, 606, 3979, 1977, 22301, 4171, 9273, 5280, 6494, 20691, 547, 519, 7599, 1282, 8331, 781, 21011, 13485, 269, 2701, 5185, 10168, 543, 3023, 1143, 2429, 1200, 4876, 855, 2760, 1577, 621, 3247, 1200, 689, 8236, 1200, 9909, 269, 4173, 1650, 2982, 721, 602, 16177, 543, 8990, 666, 7753, 1256, 519, 27162, 4554, 7496, 780, 2026, 596, 666, 1294, 267, 972, 568, 1100, 2582, 4542, 585, 4742, 513, 3811, 10196, 269, 1717, 267, 2348, 513, 6612, 585, 1565, 267, 513, 2178, 960, 2802, 545, 267, 543, 513, 18515, 547, 3068, 2591, 2212, 6823, 616, 1898, 7907, 3838, 676, 782, 1390, 3744, 780, 8893, 476, 273, 281, 15531, 6184, 17508, 281, 1215, 547, 7994, 513, 3194, 7433, 13445, 692, 3086, 602, 596, 917, 1018, 621, 3217, 547, 1831, 513, 1390, 10196, 267, 621, 781, 942, 547, 1589, 827, 7446, 513, 1382, 1957, 1888, 269, 2290, 540, 519, 23698, 2694, 540, 1603, 513, 1382, 1957, 666, 581, 1175, 4466, 513, 1434, 1888, 547, 2328, 827, 269, 1809, 1810, 1405, 5855, 910, 649, 4312, 3893, 596, 4988, 2439, 2080, 616, 930, 4388, 547, 948, 596, 1265, 513, 4241, 1382, 1957, 1888, 1384, 272, 269, 2878, 10287, 2659, 9314, 338, 5093, 3503, 827, 1945, 602, 2300, 2572, 596, 256, 1403, 596, 2648, 2230, 3408, 267, 2015, 1603, 827, 4583, 19936, 610, 3140, 2230, 13485, 269, 2107, 6148, 596, 2811, 19832, 676, 5904, 543, 2029, 282, 1287, 18167, 883, 519, 1272, 540, 21142, 570, 1005, 267, 519, 4651, 540, 7811, 2780, 2257, 543, 5841, 4987, 267, 1522, 581, 3501, 585, 596, 563, 273, 269, 2878, 13706, 7464, 28131, 10819, 5093, 6056, 827, 2152, 602, 1860, 1004, 781, 3232, 2729, 543, 1294, 952, 972, 781, 513, 3621, 5086, 547, 2263, 269, 1280, 1383, 267, 2916, 1689, 568, 513, 1713, 6161, 2221, 269, 1411, 1223, 8495, 875, 21575, 543, 22697, 616, 2324, 1927, 547, 1711, 1007, 3029, 540, 7791, 1648, 563, 274, 269, 2878, 16100, 585, 3683, 331, 10541, 12267, 5093, 6884, 267, 519, 1034, 11121, 2984, 2097, 689, 1004, 945, 5749, 1405, 1419, 12286, 538, 1686, 2835, 269, 6333, 15388, 14758, 8153, 3744, 899, 6307, 600, 19257, 345, 752, 7315, 328, 267, 519, 1101, 4807, 547, 3094, 513, 29425, 29274, 630, 21865, 4330, 607, 519, 834, 301, 984, 601, 15356, 540, 9119, 19823, 610, 932, 1329, 4149, 6062, 2426, 18961, 267, 513, 6046, 21997, 945, 5129, 513, 2629, 1909, 538, 519, 1646, 540, 519, 10570, 10514, 1282, 2622, 2782, 4083, 563, 275, 269, 2878, 18439, 22627, 9737, 2598, 4184, 1149, 5093, 4569, 543, 6323, 1419, 12969, 538, 9670, 2081, 269, 1280, 3236, 267, 1705, 596, 917, 602, 2575, 814, 5072, 538, 6128, 286, 634, 3347, 1063, 7574, 4967, 666, 581, 6956, 998, 12753, 543, 17114, 267, 799, 616, 4909, 2035, 538, 6128, 269, 1924, 952, 596, 1404, 606, 6293, 610, 2972, 6947, 547, 2575, 267, 1946, 711, 9192, 707, 18653, 543, 4983, 519, 6310, 3741, 3297, 621, 888, 276, 269, 2878, 13425, 4934, 4039, 4192, 17796, 5093, 4495, 596, 4312, 7522, 539, 1524, 707, 1592, 540, 1761, 3584, 267, 5077, 18019, 2959, 971, 607, 5399, 12240, 267, 9263, 24595, 13746, 267, 543, 11967, 7270, 547, 2327, 972, 781, 2614, 1344, 2139, 547, 1489, 707, 1382, 780, 3528, 1739, 891, 3268, 267, 596, 3513, 581, 1134, 593, 707, 1259, 547, 4466, 606, 2502, 543, 6209, 1382, 1957, 1888, 602, 20502, 707, 2189, 4690, 543, 15421, 780, 8893, 476, 274, 281, 5695, 940, 14313, 20553, 11059, 281, 5675, 2659, 3194, 7433, 692, 3086, 602, 596, 4312, 6074, 513, 9735, 1382, 1957, 1888, 267, 621, 781, 942, 547, 1376, 1603, 256, 6969, 11362, 538, 267, 1934, 616, 930, 1883, 1919, 547, 1832, 538, 2247, 1384, 272, 269, 8073, 513, 13068, 12856, 281, 5029, 1125, 707, 4555, 883, 606, 7291, 3898, 267, 8840, 707, 1957, 883, 6810, 971, 607, 4367, 267, 1560, 9433, 267, 543, 3932, 269, 901, 2497, 786, 948, 3391, 707, 1382, 1184, 543, 2327, 602, 707, 7440, 2095, 25401, 563, 273, 269, 2422, 15845, 547, 8081, 2659, 28787, 338, 281, 1879, 7234, 707, 6074, 10196, 610, 1888, 267, 7048, 593, 23674, 2963, 689, 6325, 2959, 547, 1394, 909, 707, 2798, 269, 3680, 1210, 2123, 8369, 610, 5667, 889, 560, 656, 7007, 6811, 563, 274, 269, 25737, 2659, 17796, 22043, 569, 281, 11408, 2285, 5491, 1141, 5491, 568, 1813, 256, 5269, 2386, 547, 5265, 13712, 1022, 2959, 596, 946, 538, 707, 1957, 547, 2057, 17096, 269, 13693, 707, 4116, 610, 7172, 4115, 585, 5583, 593, 1697, 11239, 12043, 563, 275, 269, 4860, 1047, 543, 22478, 281, 5213, 1405, 2503, 19870, 593, 519, 1101, 2119, 256, 5590, 11735, 942, 547, 23590, 543, 12575, 707, 960, 2789, 2053, 267, 10992, 585, 9355, 267, 8239, 267, 10259, 267, 543, 18685, 6959, 269, 9105, 513, 3659, 267, 1920, 4759, 267, 610, 4116, 547, 2689, 707, 8908, 543, 1683, 5955, 780, 3528, 1739, 891, 4808, 267, 596, 3513, 581, 2111, 547, 4739, 513, 8903, 543, 13181, 1382, 1957, 602, 8711, 707, 6074, 10196, 781, 10781, 543, 9727, 707, 1620, 540, 519, 1641, 2339, 269, 8414, 1603, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 16521, 2659, 4530, 454, 25823, 1315, 957, 3341, 2228, 10274, 543, 4388, 267, 476, 13647, 1390, 1382, 1957, 3584, 563, 3080, 540, 519, 23698, 2694, 540, 1603, 513, 1382, 1957, 666, 581, 1175, 4466, 513, 1434, 1888, 547, 2328, 827, 269, 18641, 649, 4312, 2944, 519, 2182, 960, 585, 596, 543, 723, 16432, 513, 1592, 540, 476, 13647, 4277, 1382, 1957, 3584, 269, 1358, 4312, 1044, 6896, 883, 4557, 6688, 543, 3382, 513, 2647, 2039, 540, 5396, 865, 596, 666, 3362, 1265, 519, 1655, 1888, 585, 596, 563, 1103, 1840, 547, 519, 1592, 540, 1434, 1382, 3584, 267, 649, 4312, 3769, 5796, 593, 1018, 2306, 513, 1434, 1382, 1957, 1888, 543, 875, 596, 666, 946, 707, 1888, 547, 1376, 1603, 513, 1390, 1957, 563, 1432, 24439, 513, 6153, 3194, 7433, 13445, 888, 8253, 782, 1382, 1957, 3584, 616, 2813, 3160, 267, 543, 596, 1616, 547, 1118, 2386, 596, 3442, 513, 1390, 1888, 1354, 596, 1376, 1603, 269, 12989, 616, 519, 1614, 1034, 1271, 2188, 547, 2015, 547, 1118, 2386, 596, 3442, 519, 1655, 1382, 1957, 3584, 563, 258, 272, 281, 898, 781, 23985, 1411, 2811, 9314, 539, 769, 454, 288, 1957, 568, 2141, 4443, 547, 2328, 952, 596, 2811, 5461, 538, 519, 1888, 267, 543, 596, 3513, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 13493, 1315, 22335, 1299, 32532, 2762, 1315, 3163, 1299, 5303, 1315, 4223, 11490, 2103, 1299, 4284, 27913, 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, 769, 2221, 781, 1158, 267, 3498, 1646, 814, 1831, 5051, 1271, 607, 4213, 543, 2043, 7048, 8185, 593, 3301, 3435, 547, 2743, 741, 2115, 269, 2060, 519, 4473, 540, 1585, 5867, 971, 607, 8837, 267, 15692, 267, 543, 25515, 267, 9367, 616, 5185, 609, 519, 4161, 540, 2870, 3156, 602, 666, 2196, 16900, 2066, 2789, 3457, 269, 9373, 17629, 8837, 25957, 630, 308, 310, 303, 264, 813, 1646, 910, 513, 12316, 1935, 5189, 676, 9786, 602, 6087, 9367, 547, 1711, 3156, 602, 960, 9846, 2066, 1114, 8837, 3457, 1210, 513, 2582, 3009, 19668, 780, 6524, 11362, 883, 772, 310, 303, 813, 1646, 267, 1577, 721, 1101, 1174, 1018, 772, 310, 303, 568, 782, 827, 269, 2311, 922, 4295, 267, 772, 310, 303, 568, 513, 3760, 3620, 558, 15119, 3498, 6189, 2966, 4481, 585, 2679, 3156, 602, 2196, 593, 8837, 476, 1015, 543, 2663, 5665, 1949, 269, 898, 2488, 513, 19618, 16286, 1305, 267, 799, 2636, 9367, 547, 1628, 3156, 602, 666, 3082, 547, 1114, 1106, 2188, 267, 1519, 11380, 339, 3591, 267, 24195, 267, 14342, 267, 543, 1256, 16389, 269, 5047, 267, 772, 310, 303, 7028, 513, 2647, 2039, 540, 5752, 4654, 267, 1519, 595, 258, 267, 10439, 9978, 267, 595, 10030, 267, 10084, 29441, 267, 543, 2473, 4456, 299, 780, 3086, 267, 1577, 721, 2263, 930, 1883, 2934, 540, 772, 310, 303, 813, 1646, 602, 1118, 621, 1796, 856, 1851, 824, 3498, 25121, 1384, 272, 269, 11154, 633, 14871, 28497, 281, 2290, 540, 519, 1034, 1713, 5383, 540, 772, 310, 303, 813, 1646, 568, 922, 2702, 547, 1683, 606, 13261, 3593, 8818, 269, 3763, 619, 666, 946, 11768, 8440, 267, 21870, 267, 543, 3448, 521, 1944, 2553, 547, 2327, 602, 741, 3156, 1413, 1390, 593, 13819, 540, 8795, 7306, 543, 21368, 269, 3958, 267, 772, 310, 303, 2488, 3710, 2987, 8060, 602, 8850, 4188, 547, 2242, 538, 10066, 267, 3403, 7154, 267, 543, 3308, 1533, 563, 273, 269, 6987, 839, 2225, 18745, 281, 6271, 2565, 4183, 540, 772, 310, 303, 813, 1646, 568, 970, 839, 2225, 2798, 269, 1452, 616, 9247, 29945, 602, 1450, 9367, 547, 8831, 741, 3156, 3564, 519, 3044, 10342, 3177, 676, 519, 5943, 269, 1280, 3236, 267, 9367, 666, 1039, 2688, 5784, 267, 12981, 267, 610, 2533, 547, 741, 3156, 1510, 22212, 519, 5817, 3009, 19668, 563, 274, 269, 17461, 570, 3696, 281, 772, 310, 303, 849, 3091, 4282, 4247, 267, 7175, 9367, 547, 1685, 4238, 538, 519, 4282, 1247, 519, 3498, 8255, 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 ]
[ 5450, 7469, 12695, 267, 519, 13303, 17500, 22621, 676, 5468, 29717, 16309, 5239, 476, 1704, 267, 476, 1001, 278, 269, 1107, 1869, 649, 4503, 593, 519, 18573, 593, 540, 942, 269, 18573, 593, 20668, 543, 1733, 3421, 281, 634, 5450, 7469, 12695, 540, 12856, 4039, 10631, 656, 4567, 2488, 547, 723, 938, 13013, 269, 12694, 616, 1101, 18573, 593, 519, 2575, 1175, 1223, 9718, 21534, 922, 4425, 268, 540, 4633, 538, 476, 5908, 275, 269, 476, 8287, 941, 18573, 593, 20668, 543, 1733, 3421, 281, 634, 5450, 7469, 12695, 593, 519, 4018, 269, 28791, 1175, 8709, 638, 1639, 856, 538, 519, 7372, 28946, 1080, 18573, 593, 20668, 543, 1733, 3421, 281, 540, 513, 1357, 267, 1480, 2112, 3947, 5594, 16618, 896, 519, 12379, 18070, 11802, 10539, 269, 7490, 798, 519, 7046, 23171, 20043, 7366, 540, 18573, 593, 20668, 543, 1733, 3421, 281, 634, 5450, 7469, 12695, 585, 11033, 543, 2417, 11487, 8240, 593, 519, 1448, 540, 519, 2228, 23070, 10509, 563, 268, 634, 1614, 5150, 8292, 723, 593, 2789, 5423, 18573, 593, 20668, 543, 1733, 3421, 281, 267, 4108, 17476, 267, 543, 519, 13557, 540, 6014, 543, 733, 4599, 663, 804, 617, 269, 476, 11152, 282, 2201, 476, 273, 4864, 476, 4350, 275, 267, 5518, 13153, 13130, 29118, 32206, 269, 1107, 634, 26302, 540, 22858, 15838, 267, 13343, 22630, 267, 814, 7783, 547, 1843, 519, 18573, 267, 16416, 2685, 609, 513, 16851, 540, 3627, 595, 269, 6601, 21486, 16466, 267, 799, 711, 2306, 693, 519, 3926, 267, 1310, 519, 5363, 4408, 538, 4077, 331, 2714, 525, 6807, 267, 9098, 269, 4010, 1946, 1831, 649, 16618, 6000, 607, 513, 19545, 547, 1450, 2059, 609, 519, 7917, 661, 269, 1524, 267, 621, 1058, 6443, 20031, 1756, 602, 8513, 31244, 616, 16057, 1256, 25552, 1732, 2094, 519, 14255, 541, 540, 5518, 4446, 871, 15525, 538, 476, 1220, 279, 269, 1656, 18573, 593, 20668, 543, 1733, 3421, 281, 267, 4892, 540, 782, 521, 6119, 1684, 519, 11374, 1524, 540, 7902, 4128, 676, 513, 4108, 1297, 1628, 5346, 607, 8625, 7415, 269, 6682, 4068, 22084, 8291, 21128, 11376, 520, 2264, 540, 519, 15588, 902, 17813, 267, 18370, 704, 640, 267, 543, 29621, 19541, 543, 513, 32665, 23070, 538, 26291, 5525, 267, 609, 11658, 8924, 538, 9483, 5525, 543, 27062, 8889, 269, 4208, 616, 1284, 2083, 2719, 4256, 32445, 286, 2161, 2009, 6465, 1132, 11595, 610, 29062, 540, 5506, 888, 268, 2368, 798, 1044, 519, 18573, 593, 20668, 543, 602, 789, 941, 13026, 883, 16329, 5505, 267, 513, 679, 15939, 540, 10578, 1259, 2938, 689, 2101, 3018, 17058, 1472, 519, 19730, 269, 769, 4128, 267, 28135, 540, 1448, 543, 13779, 616, 4389, 689, 835, 2104, 547, 519, 4914, 267, 543, 713, 10865, 3801, 568, 519, 16145, 540, 4170, 267, 12496, 267, 543, 2243, 4967, 267, 4171, 5322, 789, 1174, 267, 3657, 267, 543, 2061, 547, 1489, 741, 2139, 29395, 269, 1107, 3683, 519, 18573, 593, 20668, 543, 1733, 3421, 281, 634, 5450, 7469, 12695, 267, 513, 28583, 2329, 3323, 883, 513, 533, 26196, 7700, 513, 8466, 13002, 1382, 538, 4077, 331, 2714, 525, 6807, 269, 1306, 513, 18573, 593, 20668, 543, 1733, 3421, 281, 634, 5450, 7469, 12695, 540, 12856, 267, 649, 616, 18188, 11937, 945, 10021, 3320, 616, 609, 519, 3332, 269, 4208, 616, 649, 1175, 3657, 18573, 593, 20668, 547, 1082, 1913, 286, 1879, 835, 18573, 593, 20668, 543, 568, 513, 632, 31038, 656, 267, 922, 5198, 543, 922, 16456, 338, 1847, 16876, 9583, 267, 922, 4496, 15695, 676, 602, 540, 519, 7733, 269, 589, 18573, 547, 3627, 15391, 21546, 267, 513, 1482, 4937, 1282, 519, 6406, 2782, 267, 568, 2282, 519, 2407, 22240, 9703, 22858, 15838, 3938, 628, 1787, 4864, 476, 1691, 267, 476, 1001, 278, 538, 22858, 15838, 267, 17996, 269, 634, 26302, 540, 22858, 15838, 267, 13343, 22630, 267, 31782, 3690, 3836, 547, 581, 519, 18573, 593, 20668, 543, 1733, 3421, 281, 634, 5450, 7469, 12695, 540, 267, 3728, 609, 513, 635, 334, 540, 3627, 595, 269, 6601, 21486, 16466, 267, 799, 1498, 1412, 338, 693, 519, 942, 267, 1310, 519, 8828, 4589, 538, 4077, 331, 2714, 525, 6807, 267, 9098, 563, 268, 18573, 593, 20668, 1344, 281, 1635, 1373, 519, 1159, 603, 338, 649, 616, 267, 596, 993, 1491, 519, 16948, 593, 693, 5269, 8196, 8170, 269, 476, 271, 4375, 282, 4686, 16163, 517, 562, 657, 810, 552, 17733, 269, 1107, 3719, 561, 2393, 711, 609, 803, 711, 547, 713, 18573, 593, 20668, 543, 1733, 3421, 281, 634, 5450, 7469, 12695, 540, 12856, 540, 5742, 2029, 267, 3116, 1554, 269, 556, 3823, 547, 1118, 519, 19633, 3060, 998, 476, 5908, 274, 267, 543, 2038, 22300, 1462, 4328, 2835, 1141, 596, 666, 1450, 547, 979, 606, 11571, 267, 689, 713, 7601, 31205, 269, 3345, 7720, 657, 543, 1946, 519, 3162, 13071, 267, 540, 1569, 267, 1412, 557, 891, 2367, 281, 2290, 267, 3355, 338, 543, 3694, 322, 5300, 2125, 269, 18573, 593, 20668, 543, 1733, 3421, 281, 634, 5450, 7469, 12695, 540, 12856, 476, 1220, 273, 835, 540, 519, 7592, 267, 540, 2458, 4288, 267, 2474, 538, 713, 6791, 22555, 2907, 3238, 1317, 789, 4941, 3478, 609, 1287, 811, 621, 263, 4555, 267, 4617, 2287, 3817, 543, 540, 2816, 519, 16618, 1852, 602, 1223, 561, 16112, 569, 7110, 1648, 693, 476, 8517, 2367, 543, 621, 1223, 2307, 562, 8820, 693, 476, 273, 547, 476, 4968, 8933, 269, 2196, 540, 602, 267, 476, 273, 547, 476, 4968, 22099, 269, 1411, 1223, 8298, 556, 2452, 543, 581, 621, 563, 268, 1656, 18573, 593, 20668, 543, 1733, 3421, 281, 634, 5450, 7469, 12695, 540, 12856, 267, 4892, 540, 782, 1644, 3443, 525, 723, 519, 17640, 1524, 540, 13854, 7851, 676, 513, 7164, 5641, 2681, 607, 782, 4108, 269, 6682, 4068, 22084, 8291, 568, 18573, 593, 20668, 543, 1733, 3421, 281, 634, 540, 519, 15588, 902, 17813, 267, 18370, 704, 640, 267, 543, 29621, 19541, 543, 513, 10151, 8474, 538, 26291, 5525, 267, 609, 26722, 2959, 538, 9483, 5525, 543, 27062, 8889, 269, 1107, 18573, 593, 20668, 543, 1733, 3421, 281, 634, 5450, 7469, 12695, 540, 570, 2335, 28086, 661, 2738, 263, 13778, 562, 3385, 540, 570, 2335, 28086, 941, 513, 2462, 5360, 2939, 1063, 891, 281, 272, 543, 824, 11524, 538, 13431, 296, 269, 2991, 3478, 2241, 5101, 2398, 17892, 267, 519, 6739, 3689, 543, 5822, 1004, 5747, 20752, 269, 6694, 12074, 1175, 6378, 835, 540, 519, 1007, 2035, 543, 941, 922, 18573, 593, 20668, 543, 1733, 3421, 281, 634, 5450, 7469, 12695, 540, 267, 3384, 543, 3168, 9664, 540, 6119, 538, 519, 561, 3512, 269, 562, 1405, 2386, 585, 6576, 267, 519, 18573, 593, 20668, 543, 1733, 3421, 281, 634, 5450, 7469, 12695, 540, 12856, 476, 1220, 273, 16539, 5125, 547, 2824, 20499, 689, 519, 5375, 13571, 1282, 519, 7783, 2834, 2474, 540, 519, 2244, 269, 4208, 1305, 519, 18573, 593, 20668, 543, 1733, 3421, 281, 634, 5450, 7469, 12695, 540, 12856, 11967, 1310, 570, 2335, 28086, 286, 27211, 654, 820, 263, 476, 4489, 273, 264, 310, 820, 267, 945, 3459, 2476, 8644, 5644, 3516, 693, 519, 18573, 593, 20668, 543, 1733, 3421, 281, 634, 5450, 7469, 12695, 540, 476, 7176, 267, 22983, 835, 540, 24918, 781, 1034, 1044, 3506, 563, 268, 1656, 16026, 1651, 10234, 930, 6845, 31247, 4630, 839, 269, 21730, 31811, 547, 1397, 713, 3296, 261, 30113, 1662, 269, 1107, 1256, 596, 616, 267, 596, 666, 2671, 18573, 593, 20668, 543, 1733, 3421, 281, 634, 5450, 7469, 12695, 540, 12856, 476, 1220, 273, 827, 2104, 804, 1511, 269, 1744, 752, 16210, 717, 1177, 664, 267, 609, 19846, 331, 3751, 269, 7300, 20000, 4797, 3885, 540, 29601, 543, 13615, 519, 7887, 9972, 6302, 4358, 519, 4015, 2619, 269, 18573, 593, 281, 616, 581, 4507, 607, 269, 2347, 3054, 281, 769, 1018, 4609, 1616, 594, 1852, 2139, 2959, 547, 2196, 8885, 2061, 1732, 286, 1548, 7720, 657, 519, 4390, 609, 713, 4633, 888, 302, 6446, 2621, 513, 18573, 593, 20668, 543, 1733, 3421, 281, 6014, 632, 10779, 2456, 286, 2585, 766, 2395, 3919, 1569, 20709, 7537, 6446, 694, 1780, 320, 2932, 8318, 566, 554, 2931, 7388, 1154, 512, 694, 30616, 286, 661, 27036, 770, 525, 476, 280, 281, 276, 552, 476, 277, 282, 6428, 15879, 476, 16409, 281, 5325, 269, 589, 334, 6446, 4906, 4086, 537, 513, 18573, 593, 20668, 543, 1733, 3421, 281, 634, 5450, 7469, 12695, 540, 12856, 476, 1220, 273, 286, 2506, 11347, 6146, 902, 533, 698, 3512, 334, 513, 1570, 522, 286, 824, 4214, 8665, 3069, 1158, 7450, 1344, 1931, 286, 0, 3528, 693, 2904, 476, 5400, 476, 1001, 280, 476, 1691, 281, 6349, 281, 4962, 454, 763, 1560, 540, 519, 1544, 1058, 1865, 519, 1072, 543, 3106, 3292, 543, 875, 891, 786, 581, 7307, 269, 11957, 540, 513, 2657, 543, 8881, 4643, 22276, 9041, 27706, 9041, 27706, 9651, 568, 513, 3815, 2808, 538, 1164, 318, 14490, 6009, 269, 1879, 513, 1268, 1568, 693, 513, 1178, 3272, 731, 6521, 267, 610, 693, 513, 4070, 3135, 267, 610, 693, 513, 3114, 2030, 267, 3092, 1421, 972, 568, 3592, 2141, 606, 17163, 9651, 799, 519, 1876, 3340, 547, 581, 9104, 730, 585, 563, 29909, 782, 2010, 540, 4213, 616, 2838, 547, 10505, 513, 1072, 543, 3106, 1544, 267, 855, 972, 616, 1346, 602, 1034, 2523, 991, 621, 269, 1452, 616, 1870, 3238, 538, 519, 4610, 540, 4070, 267, 1483, 10040, 1646, 267, 5599, 267, 1379, 5108, 267, 5619, 532, 543, 4702, 267, 543, 1866, 269, 1452, 4213, 616, 3833, 1804, 538, 9165, 540, 5106, 267, 5473, 513, 8101, 1297, 540, 5520, 610, 4600, 267, 543, 609, 7915, 17163, 10898, 1813, 547, 519, 2175, 789, 7500, 538, 563, 8855, 602, 10913, 949, 6146, 513, 1870, 269, 1656, 585, 19493, 543, 4052, 4128, 267, 4213, 616, 9415, 543, 1256, 9901, 676, 1876, 547, 1711, 543, 2226, 513, 960, 1604, 602, 568, 2922, 543, 2635, 269, 1452, 1079, 1058, 581, 6870, 585, 19493, 4128, 1317, 606, 16108, 814, 519, 5837, 17185, 547, 1832, 1010, 4600, 2922, 543, 2635, 267, 543, 585, 4052, 2601, 1317, 30674, 543, 25036, 616, 14427, 267, 711, 547, 2446, 922, 1373, 3983, 585, 519, 1870, 563, 303, 17123, 540, 513, 2657, 543, 8881, 1160, 27760, 22276, 9041, 2657, 543, 3106, 568, 835, 540, 519, 1292, 4145, 540, 3549, 2324, 593, 513, 1788, 269, 634, 2956, 540, 713, 568, 1317, 10714, 540, 519, 1482, 949, 2014, 2576, 781, 17873, 610, 1272, 269, 4935, 267, 713, 1058, 2760, 581, 3144, 585, 11292, 269, 589, 2754, 602, 568, 827, 547, 7832, 593, 513, 1788, 1058, 5965, 513, 1544, 593, 875, 547, 2327, 922, 4600, 262, 543, 519, 1857, 781, 1072, 543, 3106, 269, 769, 2870, 713, 267, 513, 1072, 543, 3106, 11556, 10959, 949, 581, 5363, 269, 3371, 568, 606, 1383, 269, 0, 268, 1230, 2536, 609, 3761, 5832, 24990, 547, 9472, 3747, 610, 1711, 3761, 4566, 602, 2327, 8244, 540, 2326, 610, 2472, 563, 268, 18554, 23004, 543, 9889, 553, 547, 2697, 2242, 610, 547, 3313, 741, 1198, 593, 3761, 5832, 2238, 563, 268, 16294, 2773, 14573, 585, 6482, 267, 6476, 267, 610, 6268, 540, 3761, 5832, 2188, 267, 971, 607, 1587, 1942, 610, 2298, 563, 268, 21302, 6427, 1559, 547, 3313, 875, 547, 2333, 11891, 7140, 267, 2569, 3653, 267, 610, 11126, 6075, 3028, 563, 268, 3763, 5773, 585, 11558, 540, 3761, 5832, 2359, 609, 824, 6198, 2127, 267, 971, 607, 6455, 267, 6725, 267, 8804, 267, 2504, 267, 610, 2298, 22059, 563, 268, 32468, 5573, 5777, 543, 2474, 609, 14273, 267, 21527, 267, 610, 26708, 4464, 619, 563, 268, 20821, 609, 14273, 547, 1865, 2773, 14573, 267, 547, 1683, 2773, 5955, 267, 610, 547, 1865, 2504, 23004, 610, 2242, 563, 268, 25956, 1007, 610, 4824, 3761, 5832, 3157, 563, 268, 5071, 610, 2936, 3761, 11800, 602, 1489, 1870, 2994, 9862, 547, 4657, 2344, 2175, 267, 1007, 1870, 3255, 267, 610, 1942, 5786, 2994, 563, 268, 28509, 2238, 1644, 547, 7580, 610, 28365, 11449, 267, 1570, 4170, 4058, 267, 11891, 1852, 267, 16292, 327, 17639, 267, 610, 8391, 563, 268, 18554, 18261, 2773, 547, 2708, 2702, 547, 2743, 2298, 543, 6765, 4170, 563, 268, 21302, 1344, 827, 18261, 2773, 610, 27147, 1982, 1967, 563, 268, 8564, 6283, 11507, 547, 11694, 4346, 676, 9256, 6928, 906, 610, 19597, 908, 16292, 327, 17639, 543, 3892, 563, 268, 3763, 610, 2936, 5773, 610, 1949, 547, 6218, 610, 2824, 14273, 563, 268, 11657, 2168, 3761, 5832, 3157, 267, 971, 607, 32262, 267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 19064, 23035, 5899, 1052, 281, 589, 717, 843, 539, 6520, 26626, 540, 11146, 543, 1546, 4003, 21661, 519, 7822, 7412, 454, 3528, 26795, 9995, 933, 1170, 454, 303, 21315, 4964, 282, 1269, 4029, 454, 2691, 26795, 9995, 933, 1170, 2893, 1524, 547, 1382, 519, 1272, 543, 2053, 540, 29366, 1338, 3751, 267, 621, 3576, 1200, 476, 1015, 3764, 547, 1265, 856, 1352, 1185, 13351, 4154, 269, 2701, 6785, 2469, 538, 602, 3751, 267, 513, 7986, 476, 866, 628, 10601, 594, 11803, 13477, 268, 14445, 730, 2520, 6048, 267, 2278, 543, 24413, 267, 945, 18886, 772, 2529, 269, 14199, 540, 3557, 3627, 15917, 543, 519, 5856, 8361, 17566, 1851, 1010, 2828, 267, 1185, 606, 11999, 5728, 646, 729, 5329, 689, 1010, 1164, 1606, 1539, 1214, 2828, 563, 1432, 1352, 4769, 1406, 917, 267, 855, 3533, 1336, 856, 267, 729, 602, 713, 5728, 19430, 1864, 547, 2661, 1079, 2729, 281, 519, 1101, 267, 607, 519, 1101, 8689, 540, 519, 2136, 2276, 24959, 11752, 267, 513, 575, 2958, 13895, 3659, 540, 3532, 1004, 267, 945, 12212, 546, 1441, 693, 519, 6519, 5600, 282, 519, 2034, 267, 607, 513, 3109, 29553, 2006, 533, 7163, 3957, 6276, 25595, 945, 729, 9310, 547, 513, 3109, 4807, 3957, 1520, 320, 10515, 14657, 563, 14881, 6557, 519, 1101, 1268, 547, 4137, 602, 4062, 540, 621, 856, 2223, 9995, 933, 1170, 3081, 689, 1200, 2549, 615, 560, 267, 12590, 1753, 269, 968, 1432, 1004, 6785, 1354, 729, 1152, 602, 519, 4583, 29366, 1338, 3751, 1185, 513, 476, 1724, 4458, 2078, 1700, 31347, 621, 729, 513, 7365, 610, 711, 1700, 5976, 713, 3979, 12677, 4807, 543, 602, 789, 1185, 1896, 1453, 1927, 3034, 306, 663, 933, 1170, 267, 513, 7548, 540, 1977, 2090, 543, 1686, 693, 2549, 615, 560, 5441, 267, 1185, 1044, 28409, 1200, 1053, 547, 1413, 883, 519, 1650, 540, 3751, 779, 5728, 7365, 267, 4412, 8215, 676, 519, 967, 793, 640, 1352, 5433, 2390, 2542, 513, 476, 4198, 279, 12092, 540, 3751, 602, 18923, 5018, 1520, 320, 267, 610, 25323, 1200, 607, 606, 3768, 793, 1881, 32623, 1674, 269, 7183, 540, 1200, 1053, 3576, 1200, 909, 593, 621, 267, 543, 713, 2460, 540, 3751, 779, 1272, 6854, 28594, 1177, 532, 693, 1200, 269, 1879, 1352, 6368, 2893, 1524, 543, 4362, 1010, 12242, 3961, 1700, 628, 3471, 547, 519, 2487, 7857, 1436, 540, 1977, 14829, 5638, 1700, 9917, 4956, 713, 729, 513, 1650, 1352, 1131, 2328, 9887, 563, 763, 1267, 267, 10426, 532, 5899, 1052, 281, 589, 717, 843, 539, 6520, 26626, 540, 11146, 543, 1546, 4003, 21661, 519, 7822, 7412, 267, 568, 513, 31417, 569, 21503, 267, 21716, 543, 2985, 2389, 9506, 2272, 540, 513, 10875, 26760, 5645, 856, 676, 513, 1950, 812, 945, 5156, 602, 3765, 576, 2102, 566, 729, 1141, 519, 2104, 540, 519, 3043, 5198, 2482, 269, 1306, 9995, 933, 1170, 11339, 267, 3751, 5156, 11544, 519, 14797, 968, 30524, 2087, 519, 21755, 540, 519, 1480, 5198, 543, 1711, 513, 3982, 569, 1977, 1004, 3034, 14881, 1131, 2161, 1079, 1919, 827, 1010, 7292, 5784, 2223, 9995, 933, 1170, 3081, 269, 968, 3080, 267, 1010, 4990, 540, 11509, 7292, 1143, 543, 1010, 22906, 609, 2048, 18905, 1998, 2021, 543, 2021, 540, 7990, 685, 568, 10169, 1253, 4292, 995, 547, 803, 269, 1809, 1010, 824, 5784, 827, 5198, 941, 5963, 9097, 269, 1703, 779, 602, 9058, 4062, 646, 11339, 1614, 1296, 1354, 1010, 7365, 547, 1520, 320, 538, 799, 646, 3081, 972, 666, 1406, 581, 606, 1977, 2511, 1700, 515, 779, 1603, 827, 930, 11265, 6272, 585, 16827, 779, 19772, 1700, 2863, 559, 972, 779, 606, 1977, 1004, 267, 799, 4465, 1406, 4755, 2394, 972, 779, 1100, 811, 2296, 543, 4436, 543, 27740, 543, 3043, 269, 2334, 2186, 540, 3206, 538, 476, 6642, 276, 729, 3592, 796, 19960, 514, 762, 3034, 302, 9536, 1287, 602, 646, 1131, 12404, 1010, 7365, 267, 855, 3751, 267, 945, 729, 4535, 538, 476, 7277, 273, 267, 729, 513, 1360, 5100, 812, 543, 6785, 1010, 9565, 3043, 17052, 543, 1010, 4876, 1131, 2760, 7639, 971, 513, 13414, 267, 513, 1249, 28703, 856, 1310, 1010, 2669, 538, 476, 5002, 273, 950, 1010, 2078, 609, 1520, 320, 729, 4362, 543, 8152, 1117, 909, 676, 1346, 2828, 945, 5433, 789, 941, 7674, 519, 1655, 4690, 540, 3751, 779, 10639, 563, 2026, 585, 1520, 320, 267, 1352, 5156, 1200, 9393, 1185, 2451, 1200, 513, 3972, 2508, 1700, 514, 513, 2669, 5523, 21334, 1308, 4484, 547, 1200, 267, 3751, 7000, 1010, 1483, 2012, 267, 855, 621, 779, 15458, 952, 646, 7000, 1010, 5198, 267, 1010, 3924, 610, 1920, 4282, 607, 1134, 269, 769, 1022, 2680, 267, 646, 5747, 30779, 559, 612, 1700, 295, 599, 3576, 621, 2390, 5128, 547, 4444, 1200, 513, 2777, 543, 6494, 1200, 513, 10865, 23616, 754, 267, 782, 540, 799, 646, 1705, 26687, 3585, 269, 1879, 15917, 5747, 538, 476, 5002, 276, 267, 1010, 1920, 4797, 519, 11033, 267, 782, 267, 9995, 933, 1170, 11339, 267, 968, 1729, 2061, 1520, 320, 689, 6340, 827, 1200, 2078, 547, 741, 4583, 3659, 3034, 5472, 540, 713, 8694, 538, 476, 4350, 274, 267, 609, 513, 5480, 2013, 1128, 580, 730, 676, 1520, 320, 538, 513, 19915, 547, 1205, 1018, 1352, 2219, 729, 519, 3003, 2179, 540, 519, 3972, 2508, 269, 9995, 933, 1170, 14659, 602, 676, 713, 942, 1700, 663, 972, 568, 1454, 538, 713, 1433, 9995, 933, 1170, 814, 1185, 547, 17429, 576, 267, 2016, 519, 20317, 540, 1570, 827, 1520, 320, 779, 1272, 1700, 9917, 2693, 1185, 513, 7168, 1434, 2856, 602, 1200, 9393, 729, 711, 3109, 269, 968, 763, 7542, 665, 1190, 1145, 609, 799, 1200, 9393, 779, 9718, 619, 4323, 1200, 543, 3343, 547, 2061, 1200, 689, 4466, 519, 2707, 540, 1200, 2724, 267, 594, 1589, 1185, 547, 2253, 11021, 547, 1200, 602, 646, 729, 513, 3043, 812, 543, 602, 646, 1185, 1360, 3532, 2828, 3034, 3719, 875, 267, 835, 949, 1134, 4898, 267, 1223, 513, 4023, 1606, 7219, 2740, 267, 1025, 1180, 3620, 8529, 267, 4544, 31991, 812, 581, 2808, 3109, 286, 769, 713, 1554, 543, 2085, 267, 950, 1256, 4446, 871, 15525, 568, 2219, 676, 930, 547, 581, 711, 3109, 2614, 267, 3206, 602, 3751, 568, 4376, 855, 3043, 4667, 21494, 563, 2108, 6546, 729, 835, 540, 519, 1034, 4277, 1919, 585, 803, 607, 594, 5249, 593, 713, 1433, 2223, 9995, 933, 1170, 3081, 269, 968, 14367, 29553, 2006, 533, 7163, 779, 10359, 729, 4440, 513, 15549, 585, 1010, 3109, 3961, 2223, 1352, 2798, 856, 267, 4946, 602, 29553, 2006, 1152, 21534, 3109, 2367, 607, 11188, 1562, 563, 2108, 3719, 594, 849, 1589, 519, 17642, 8864, 540, 1010, 2960, 729, 519, 1655, 6169, 602, 646, 729, 3109, 269, 594, 1611, 267, 1946, 1131, 24455, 945, 6743, 899, 602, 3409, 547, 581, 513, 3109, 812, 8259, 646, 2731, 729, 286, 898, 5645, 1100, 1514, 610, 2797, 22864, 609, 621, 3034, 4263, 519, 942, 267, 547, 581, 3989, 607, 513, 27740, 267, 596, 1152, 2877, 547, 723, 835, 3109, 1390, 3766, 8681, 8001, 267, 865, 596, 1223, 267, 538, 1249, 267, 581, 1360, 1769, 1606, 7219, 2740, 543, 581, 9286, 607, 3109, 269, 901, 568, 15069, 1018, 1520, 320, 1590, 723, 2219, 267, 855, 676, 519, 942, 1352, 5747, 1700, 514, 476, 3422, 275, 693, 519, 27314, 2085, 540, 476, 9818, 1700, 306, 663, 933, 1170, 11099, 1352, 6785, 782, 540, 1200, 9393, 779, 11580, 269, 968, 2252, 1352, 22821, 1406, 2907, 23125, 621, 782, 856, 267, 1352, 15983, 1131, 723, 1282, 519, 4693, 538, 476, 4350, 274, 3034, 2252, 713, 1650, 19595, 3988, 540, 634, 5274, 29543, 267, 17722, 681, 1054, 779, 3209, 827, 513, 3368, 15918, 871, 267, 3368, 22554, 812, 8429, 607, 3043, 543, 6014, 267, 596, 2461, 711, 4805, 269, 9995, 933, 1170, 2219, 540, 621, 4749, 1282, 519, 2185, 7146, 8584, 28451, 1296, 1352, 6170, 1603, 10426, 532, 5899, 1052, 267, 2523, 609, 519, 1297, 540, 2053, 1352, 1185, 547, 6445, 538, 3140, 1025, 3471, 563, 2108, 6546, 729, 11613, 606, 6667, 585, 713, 1433, 269, 594, 23507, 602, 1433, 865, 1454, 267, 875, 681, 1054, 4991, 3330, 540, 1010, 1915, 779, 9843, 543, 4337, 1149, 741, 18144, 269, 15742, 569, 1082, 2053, 2324, 593, 713, 1433, 594, 24714, 594, 729, 513, 29787, 865, 594, 1223, 1936, 622, 609, 513, 2186, 540, 513, 15999, 9631, 23036, 7220, 1018, 779, 2731, 2469, 593, 1934, 563, 2108, 3719, 594, 6557, 711, 513, 29787, 267, 543, 594, 6557, 6157, 711, 513, 13085, 29787, 899, 17722, 681, 1054, 269, 594, 6557, 513, 14787, 945, 2729, 543, 10523, 676, 1200, 3723, 17084, 269, 901, 568, 513, 1686, 1433, 3034, 4517, 513, 4241, 835, 693, 602, 269, 0, 1607, 12744, 2982, 3817, 476, 272, 1700, 273, 269, 6178, 909, 547, 2070, 519, 2407, 1543, 563, 1607, 12744, 814, 17543, 23324, 6810, 269, 6178, 909, 547, 2070, 519, 2407, 4528, 24707, 9509, 11657, 454, 4462, 8971, 1540, 1257, 12744, 281, 901, 1820, 13050, 1058, 723, 476, 1556, 2055, 269, 13038, 31547, 2055, 949, 3136, 593, 519, 1985, 6241, 610, 2985, 1107, 1265, 782, 5079, 1354, 16460, 269, 476, 9826, 476, 1015, 269, 271, 2798, 589, 10116, 3724, 3217, 519, 3440, 689, 519, 1899, 540, 1085, 3234, 332, 720, 267, 8255, 18807, 585, 476, 1556, 18126, 267, 1287, 8255, 2427, 1811, 6252, 547, 519, 1899, 540, 1085, 3234, 268, 544, 720, 585, 476, 1691, 18126, 269, 2311, 713, 1448, 267, 646, 25001, 513, 476, 5392, 18126, 4464, 1780, 2786, 1524, 7615, 13902, 547, 519, 1899, 540, 1085, 3234, 332, 720, 269, 1548, 568, 519, 9588, 540, 519, 11176, 779, 25739, 12761, 286, 22043, 2626, 281, 476, 2412, 1547, 476, 5392, 277, 280, 18126, 269, 19247, 281, 2913, 519, 1535, 4287, 581, 6252, 547, 1899, 540, 1085, 3234, 332, 720, 269, 9717, 2433, 31221, 586, 476, 272, 815, 268, 476, 1556, 18126, 2073, 31221, 1535, 815, 13008, 476, 1691, 18126, 2073, 543, 31221, 586, 476, 273, 815, 476, 5392, 18126, 1547, 31221, 586, 9103, 815, 31221, 586, 476, 272, 1341, 31221, 586, 476, 273, 815, 268, 476, 1556, 18126, 1341, 476, 5392, 18126, 815, 476, 4343, 18126, 31221, 1535, 9103, 815, 31221, 1535, 815, 13008, 476, 1691, 18126, 634, 771, 2897, 906, 616, 13902, 267, 865, 546, 815, 9097, 19136, 630, 4501, 484, 1535, 9103, 3738, 476, 273, 1341, 630, 4501, 484, 586, 9103, 3738, 476, 273, 815, 9097, 19136, 630, 13008, 476, 1691, 18126, 264, 476, 273, 1341, 630, 4343, 18126, 264, 476, 273, 815, 476, 2412, 1547, 476, 5392, 277, 280, 18126, 1547, 476, 16573, 630, 4820, 476, 272, 540, 476, 276, 264, 476, 1015, 269, 271, 2798, 589, 862, 17458, 20987, 6238, 689, 606, 19633, 4092, 693, 519, 5169, 630, 5408, 4137, 1040, 3689, 621, 13733, 547, 2749, 968, 288, 892, 4092, 513, 815, 476, 1911, 5998, 2476, 689, 519, 19633, 538, 513, 4287, 14668, 815, 476, 4097, 31775, 355, 3345, 540, 5101, 269, 8921, 621, 13733, 536, 815, 476, 8618, 1547, 476, 273, 5998, 16061, 815, 476, 3451, 31775, 355, 4639, 540, 3345, 547, 2749, 968, 289, 6100, 7053, 621, 13733, 524, 815, 476, 10204, 5998, 1813, 4639, 547, 2749, 968, 290, 6100, 589, 645, 595, 744, 513, 524, 536, 678, 14668, 16061, 29339, 715, 715, 661, 654, 6333, 968, 292, 892, 547, 581, 519, 2318, 1535, 7852, 543, 968, 301, 892, 547, 581, 519, 2318, 586, 7852, 269, 6904, 540, 519, 1739, 568, 3160, 547, 519, 1535, 268, 5057, 536, 1535, 540, 519, 6152, 6152, 536, 7790, 476, 272, 269, 536, 1535, 815, 268, 536, 5430, 16061, 476, 273, 269, 536, 1535, 815, 268, 536, 5609, 16061, 2953, 476, 274, 269, 536, 1535, 815, 536, 5430, 16061, 476, 275, 269, 536, 1535, 815, 268, 536, 16009, 16061, 476, 276, 269, 536, 1535, 815, 536, 16009, 16061, 476, 277, 269, 536, 1535, 815, 536, 5609, 16061, 19247, 281, 2913, 2433, 536, 815, 476, 8618, 1547, 476, 273, 5998, 16061, 815, 476, 3451, 31775, 355, 9978, 16610, 281, 634, 4341, 585, 4946, 1079, 10321, 6152, 341, 815, 630, 642, 1535, 2073, 642, 586, 3738, 543, 6152, 340, 815, 630, 579, 1535, 2073, 579, 586, 3738, 568, 6152, 337, 815, 6152, 340, 1341, 6152, 341, 815, 630, 642, 1535, 1341, 579, 1535, 2073, 642, 586, 1341, 579, 586, 3738, 3976, 6152, 3334, 1039, 19601, 8698, 9509, 11657, 454, 1607, 4063, 729, 23345, 593, 476, 6734, 270, 2918, 270, 1001, 271, 585, 519, 1576, 11682, 312, 476, 24062, 298, 6026, 676 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 10749, 267, 23397, 20393, 267, 8606, 916, 267, 7641, 9210, 529, 3941, 267, 8535, 27678, 267, 543, 14970, 13437, 16680, 902, 454, 320, 269, 17564, 5999, 543, 2871, 4575, 8871, 14186, 585, 4841, 454, 321, 269, 19662, 1280, 18763, 3194, 543, 11300, 18768, 692, 289, 269, 6828, 18768, 543, 20985, 4804, 23800, 454, 272, 269, 15043, 5564, 12855, 10558, 725, 31209, 532, 15316, 31834, 540, 4825, 549, 6363, 583, 584, 1143, 454, 320, 269, 11020, 10445, 532, 267, 14644, 8586, 267, 8606, 2719, 267, 3798, 1746, 267, 543, 14675, 10177, 1188, 23531, 454, 321, 269, 25398, 5623, 543, 24720, 22948, 10801, 13870, 1912, 1162, 692, 290, 269, 8865, 5525, 543, 7464, 21509, 10241, 454, 272, 269, 27148, 540, 10871, 9024, 328, 2510, 543, 4139, 20764, 999, 27837, 676, 4825, 549, 6363, 583, 22618, 15154, 454, 320, 269, 17291, 7454, 13756, 543, 19791, 10671, 3931, 26094, 454, 321, 269, 1160, 19397, 10298, 9122, 593, 3955, 13694, 11310, 543, 10341, 21733, 1600, 3414, 6092, 1740, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 301, 739, 28101, 267, 23861, 338, 267, 2025, 9413, 267, 8613, 267, 744, 15045, 267, 535, 24655, 267, 1434, 3377, 543, 3983, 267, 26717, 267, 31781, 2676, 322, 1393, 5229, 27932, 2984, 267, 20036, 1768, 8175, 2984, 267, 543, 4376, 3116, 594, 666, 1589, 540, 563, 23086, 803, 693, 789, 537, 978, 26967, 630, 520, 264, 3618, 15062, 630, 25346, 264, 2121, 454, 269, 1547, 1547, 1547, 4586, 269, 1547, 1547, 1547, 4586, 14872, 13628, 267, 5412, 476, 4029, 267, 476, 1220, 280, 5194, 5729, 1744, 582, 18135, 697, 547, 18774, 2483, 2171, 1439, 909, 6031, 713, 1169, 1032, 269, 7831, 3781, 649, 941, 1175, 9505, 1154, 1055, 519, 1769, 563, 1692, 2097, 519, 3880, 1296, 979, 676, 865, 3533, 543, 519, 3018, 17058, 979, 676, 865, 7444, 286, 700, 5357, 563, 8649, 9361, 1934, 3843, 547, 1826, 538, 17309, 269, 3733, 3946, 616, 513, 3190, 538, 519, 5162, 267, 782, 1085, 3315, 543, 3819, 267, 1317, 594, 6415, 2141, 11067, 873, 269, 8891, 610, 3802, 519, 2915, 267, 723, 547, 11547, 1250, 3946, 269, 4676, 650, 519, 6177, 28680, 267, 723, 547, 11547, 1250, 3946, 269, 2986, 1576, 267, 1310, 1210, 519, 16003, 267, 610, 8600, 1426, 269, 10261, 547, 4308, 609, 5576, 8500, 2401, 781, 1426, 610, 1216, 267, 11547, 1250, 3946, 269, 6969, 1142, 7594, 267, 11547, 1250, 3946, 269, 4518, 593, 13492, 267, 11547, 1250, 3946, 269, 898, 781, 513, 2603, 540, 1216, 547, 3819, 873, 856, 269, 1924, 594, 723, 873, 1793, 9312, 538, 5848, 584, 1944, 8645, 543, 4988, 609, 1250, 2025, 21533, 17309, 267, 799, 818, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 14303, 549, 6363, 583, 584, 1143, 257, 607, 851, 540, 834, 11227, 1315, 3163, 11470, 1315, 26888, 1299, 16262, 3098, 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, 769, 519, 2295, 540, 1715, 3840, 4975, 267, 972, 729, 513, 12021, 7544, 6735, 1572, 834, 291, 766, 6555, 553, 2668, 901, 1032, 781, 2680, 4547, 1927, 16805, 25249, 689, 1472, 519, 8608, 269, 7324, 873, 941, 1079, 16311, 1218, 910, 23436, 267, 606, 4810, 3318, 15854, 1356, 267, 1634, 585, 1200, 11428, 543, 9015, 282, 543, 8751, 267, 513, 23406, 2943, 10169, 1416, 16451, 30226, 518, 780, 299, 13453, 1185, 1044, 15472, 2094, 1352, 729, 2947, 1296, 2025, 269, 3767, 476, 1839, 267, 1352, 6170, 9118, 3108, 28798, 1200, 4739, 267, 1419, 8026, 3670, 547, 5216, 3108, 1169, 1554, 269, 2701, 5156, 602, 2182, 960, 2141, 6976, 1055, 543, 2760, 2451, 4376, 547, 4960, 269, 4173, 2138, 1729, 729, 2241, 281, 6431, 14571, 20054, 4187, 780, 4002, 519, 824, 1688, 267, 8751, 267, 9907, 476, 2537, 267, 3323, 15472, 1175, 1614, 1296, 3516, 1310, 8384, 513, 13334, 3381, 269, 1261, 3533, 8593, 538, 2648, 609, 621, 855, 26218, 23436, 781, 2582, 16490, 1445, 269, 1280, 1864, 267, 15472, 729, 5097, 827, 1187, 543, 4082, 2864, 982, 10888, 17758, 269, 1306, 971, 267, 646, 1152, 13736, 950, 646, 5433, 899, 621, 267, 6148, 1079, 610, 1614, 2053, 513, 3018, 267, 2519, 6140, 593, 11981, 5128, 3079, 540, 19870, 780, 3080, 12784, 267, 1282, 513, 13680, 6643, 1354, 31667, 1023, 3459, 267, 23436, 4280, 8751, 267, 834, 1692, 1279, 798, 596, 3335, 24667, 12838, 1142, 1554, 8119, 1677, 799, 8751, 14452, 1875, 577, 531, 14688, 267, 834, 17764, 267, 711, 1932, 1454, 267, 1175, 8164, 594, 1745, 899, 621, 4799, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 22081, 1279, 798, 519, 16311, 1218, 3335, 24667, 12838, 1142, 1554, 888, 2026, 606, 3642, 1893, 2203, 267, 594, 1810, 1405, 723, 1808, 1344, 827, 799, 16311, 1218, 610, 799, 19194, 596, 616, 13288, 547, 267, 2705, 267, 3622, 267, 519, 2179, 540, 31667, 531, 942, 9775, 4470, 593, 519, 1826, 540, 6735, 543, 519, 1377, 540, 5578, 540, 519, 16311, 1218, 269, 12333, 25249, 267, 12372, 610, 2206, 619, 945, 14526, 693, 513, 1164, 1377, 2356, 24667, 12838, 585, 1896, 3108, 513, 1554, 267, 3006, 909, 547, 5216, 610, 811, 267, 538, 1931, 547, 3501, 741, 2773, 269, 1717, 267, 585, 23153, 610, 30497, 15712, 267, 519, 31667, 531, 942, 1223, 2039, 689, 513, 1906, 3108, 513, 3018, 547, 513, 1906, 3108, 513, 1554, 267, 1759, 593, 741, 8430, 543, 7029, 14325, 25147, 3197, 609, 3982, 14789, 269, 634, 1650, 1058, 11200, 998, 741, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 267, 10771, 519, 2956, 540, 6568, 267, 7881, 267, 543, 1966, 9010, 563, 763, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 269, 0, 3848, 476, 278, 281, 11096, 2684, 625, 540, 15722, 7321, 281, 4825, 1026, 583, 13659, 267, 667, 2678, 5270, 267, 29407, 267, 543, 10163, 20753, 10456, 692, 296, 269, 4985, 692, 763, 15257, 540, 1876, 568, 513, 2361, 602, 7710, 519, 1950, 2078, 1063, 3656, 5238, 267, 6848, 2418, 267, 543, 1367, 2623, 269, 2290, 2565, 2460, 540, 713, 9015, 3322, 519, 10952, 24598, 25751, 540, 10751, 269, 1215, 1058, 7239, 4431, 547, 7803, 2623, 286, 1548, 5301, 798, 1585, 3029, 540, 10751, 4196, 286, 901, 3184, 12538, 883, 891, 2055, 676, 7421, 2185, 8789, 6436, 540, 10751, 281, 1427, 1026, 583, 13659, 267, 15658, 5270, 267, 14317, 267, 543, 29260, 5126, 269, 1635, 6313, 891, 7811, 10850, 998, 513, 10883, 1440, 644, 1113, 7828, 267, 1053, 666, 1732, 1174, 519, 24117, 3297, 4207, 5309, 1438, 4507, 543, 4497, 538, 5483, 9840, 827, 519, 1697, 1909, 540, 10751, 1369, 513, 1175, 2486, 780, 2862, 269, 4825, 1026, 583, 13659, 692, 4263, 922, 4295, 267, 1427, 1026, 583, 13659, 29102, 602, 2043, 945, 3479, 4636, 995, 6411, 17330, 547, 7985, 4539, 8167, 622, 547, 741, 1055, 5151, 269, 11330, 7859, 540, 713, 2070, 11168, 5837, 9390, 607, 519, 3119, 24134, 585, 10751, 20196, 568, 267, 1346, 945, 29875, 6848, 8155, 11129, 547, 1995, 1928, 610, 2530, 862, 839, 23847, 609, 519, 2800, 789, 3361, 269, 769, 9759, 267, 1427, 1026, 583, 643, 1235, 8044, 602, 10751, 5713, 607, 513, 1106, 540, 834, 332, 7394, 13326, 257, 1063, 519, 1055, 2658, 543, 519, 6408, 610, 2146, 780, 288, 269, 7600, 545, 3359, 540, 4825, 1026, 583, 13659, 692, 290, 761, 923, 25077, 602, 1427, 1026, 583, 13659, 949, 1291, 547, 7050, 10751, 952, 3144, 1932, 12777, 269, 1280, 3236, 267, 7598, 513, 7453, 834, 5674, 324, 585, 606, 3750, 257, 1935, 1223, 1267, 538, 25409, 10792, 5220, 585, 5634, 1102, 10330, 269, 5047, 267, 930, 5640, 2243, 2436, 621, 568, 25432, 1175, 16666, 547, 17543, 2014, 7092, 1256, 950, 964, 5703, 780, 289, 269, 7351, 12367, 543, 7464, 21509, 6201, 692, 8601, 30852, 267, 1427, 1026, 5737, 3741, 3136, 547, 3337, 2413, 10336, 9479, 269, 3509, 22875, 20818, 16601, 5934, 5220, 1759, 593, 519, 10335, 540, 10963, 8149, 267, 10452, 513, 7287, 547, 2327, 602, 25476, 4309, 19439, 906, 14354, 547, 741, 1055, 5151, 269, 1717, 267, 713, 1935, 814, 5185, 9880, 585, 7700, 547, 2527, 23948, 566, 543, 7292, 13103, 1369, 519, 7803, 5126, 1062, 630, 20694, 6387, 267, 476, 1001, 271, 6393, 7656, 269, 667, 2678, 5270, 692, 291, 2678, 5270, 3069, 13187, 602, 519, 3119, 3483, 540, 10751, 568, 547, 25339, 1761, 25476, 689, 2502, 538, 7803, 2623, 269, 1635, 25412, 3790, 593, 1346, 945, 2736, 4031, 267, 7239, 2832, 547, 1711, 771, 514, 1417, 1161, 602, 29387, 519, 2640, 540, 28302, 2238, 269, 5565, 3982, 2010, 540, 15658, 5270, 2291, 281, 2489, 543, 1808, 269, 4937, 15658, 5270, 11394, 547, 2061, 782, 2818, 540, 2486, 689, 22867, 10963, 267, 1247, 1808, 15658, 5270, 9072, 1367, 25476, 267, 17935, 547, 2569, 973, 573, 13659, 3928, 780, 288, 269, 7600, 545, 3359, 540, 667, 2678, 5270, 7869, 692, 5278, 13915, 4161, 519, 13429, 602, 554, 1513, 615, 20507, 8209, 14377, 883, 3152, 15658, 337, 1370, 2360, 269, 2506, 2869, 673, 2963, 5267, 602, 2188, 3564, 6071, 3463, 540, 10751, 27137, 607, 22979, 540, 31536, 542, 267, 9228, 1981, 267, 543, 2123, 6381, 1765, 2452, 1713, 5107, 538, 5935, 3375, 6194, 3157, 3056, 547, 7803, 2932, 630, 301, 698, 514, 267, 476, 1001, 274, 1040, 3958, 267, 1866, 8044, 602, 15658, 5270, 2861, 4485, 949, 16662, 1549, 958, 28511, 8635, 676, 13389, 12790, 5095, 945, 3668, 1569, 547, 2200, 2556, 547, 2057, 7020, 630, 295, 2117, 22620, 267, 476, 1220, 277, 6393, 289, 269, 10765, 5525, 543, 3763, 906, 692, 13146, 1382, 814, 8268, 519, 12117, 540, 4244, 2366, 9760, 3681, 1765, 3697, 3075, 10470, 543, 1966, 9010, 10470, 32737, 1797, 540, 7393, 15658, 5270, 1510, 759, 15659, 547, 2757, 26646, 630, 298, 548, 27332, 1696, 620, 1421, 476, 1001, 278, 1040, 1452, 5499, 3631, 1445, 593, 5466, 5817, 2152, 7700, 547, 7803, 2623, 267, 7551, 2810, 519, 9228, 1942, 540, 1875, 1260, 20869, 543, 5732, 4227, 2949, 25213, 2157, 780, 4353, 269, 29407, 692, 3725, 4725, 4106, 894, 6436, 540, 10751, 2226, 602, 519, 10700, 3804, 540, 519, 7803, 5126, 1062, 1058, 581, 13321, 25476, 883, 11327, 267, 1876, 268, 629, 4575, 4961, 269, 22716, 1944, 2126, 543, 2069, 936, 6986, 1427, 9084, 610, 24835, 659, 2787, 267, 28288, 540, 713, 5133, 12167, 585, 7459, 6322, 693, 31925, 32277, 28922, 5615, 543, 5807, 5578, 1646, 1851, 26722, 21688, 976, 780, 288, 269, 12694, 543, 7799, 14591, 692, 3725, 4725, 10949, 8188, 1896, 2591, 267, 1519, 22522, 6388, 2066, 22875, 267, 3908, 7616, 585, 5752, 267, 543, 8795, 2157, 540, 1055, 2658, 8404, 269, 5015, 267, 10442, 1982, 7145, 3788, 2352, 1813, 547, 27696, 7687, 7915, 538, 973, 573, 13659, 2557, 9273, 630, 23272, 612, 320, 1299, 8055, 267, 476, 1220, 279, 6393, 289, 269, 12634, 10241, 692, 8253, 5976, 9227, 891, 9465, 267, 14317, 5170, 547, 1404, 606, 1898, 1909, 538, 1082, 15494, 531, 1949, 5001, 269, 30404, 3292, 1765, 337, 4474, 689, 5042, 15515, 24173, 3797, 7341, 547, 25367, 2866, 6030, 1765, 17647, 7152, 1967, 538, 4227, 973, 573, 13659, 3928, 1851, 10283, 25476, 630, 291, 340, 933, 1299, 18412, 267, 476, 1001, 275, 1040, 1306, 1857, 6644, 10593, 2509, 8508, 2034, 8458, 543, 5009, 556, 15759, 1674, 3646, 267, 11222, 4106, 894, 16431, 949, 2744, 17105, 23146, 1369, 519, 15257, 540, 1876, 11407, 780, 309, 269, 10163, 20753, 10456, 692, 27916, 20753, 5126, 4564, 513, 17565, 1738, 6521, 2476, 689, 2757, 10779, 25106, 4485, 2509, 513, 811, 10319, 2203, 5059, 593, 7067, 543, 21047, 269, 2311, 922, 2295, 267, 29260, 5126, 6663, 547, 7816, 28746, 4611, 689, 7803, 2534, 676, 8744, 1927, 9601, 267, 25476, 267, 543, 4299, 2950, 538, 19929, 10704, 1472, 12477, 267, 19807, 267, 543, 11808, 780, 288, 269, 22436, 543, 32539, 692, 18770, 665, 919 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1729, 581, 7332, 8072, 5713, 1152, 607, 513, 581, 13145, 538, 713, 26424, 269, 634, 2797, 2856, 2141, 6763, 538, 519, 32215, 269, 11572, 2093, 991, 741, 1727, 657, 2572, 267, 789, 991, 513, 13172, 545, 865, 602, 789, 666, 2291, 269, 1403, 713, 13172, 545, 568, 15810, 5196, 5132, 267, 1287, 5132, 543, 519, 2078, 547, 2696, 616, 24401, 6150, 609, 1379, 9620, 269, 1280, 596, 786, 2141, 581, 593, 519, 3406, 585, 519, 824, 267, 799, 568, 513, 4334, 547, 3054, 267, 865, 602, 596, 666, 6166, 707, 1378, 4555, 543, 2285, 873, 513, 1318, 547, 2291, 563, 26576, 267, 799, 2965, 1797, 20174, 267, 543, 729, 711, 6956, 607, 519, 2012, 540, 513, 4984, 676, 519, 21024, 5236, 371, 374, 267, 2094, 519, 1523, 540, 4984, 1705, 711, 2291, 693, 519, 942, 267, 568, 2221, 16545, 607, 513, 1373, 3544, 540, 721, 267, 8197, 607, 513, 14735, 267, 540, 799, 1142, 814, 513, 2671, 269, 2368, 1589, 789, 1378, 713, 14735, 269, 2368, 979, 2417, 543, 1616, 547, 723, 519, 14735, 29770, 26576, 2108, 538, 519, 2012, 540, 741, 16809, 269, 1717, 267, 950, 513, 1268, 4337, 1149, 29770, 26576, 2108, 607, 1945, 3544, 1200, 1378, 1582, 267, 835, 814, 2907, 4835, 1242, 519, 6688, 540, 2413, 1143, 543, 16712, 1143, 267, 1256, 952, 602, 1268, 15109, 5128, 607, 9732, 4621, 969, 894, 26872, 610, 29770, 10177, 6463, 2108, 563, 2005, 568, 1100, 3476, 513, 2339, 540, 16734, 519, 2648, 540, 2696, 543, 3571, 21024, 267, 540, 10213, 1004, 827, 713, 2648, 267, 540, 1373, 972, 585, 1004, 267, 543, 594, 1611, 609, 812, 782, 2367, 267, 1175, 607, 519, 21024, 5236, 371, 374, 729, 972, 585, 782, 2367, 543, 729, 2366, 585, 873, 269, 3143, 2221, 267, 835, 4422, 547, 5480, 609, 1010, 8284, 2367, 267, 829, 519, 2138, 1729, 29770, 307, 527, 585, 512, 520, 2108, 269, 1809, 519, 1360, 835, 945, 6499, 547, 1246, 519, 21024, 1058, 581, 2111, 547, 7703, 519, 11411, 543, 18275, 540, 519, 1158, 609, 606, 3750, 540, 11419, 543, 23502, 267, 543, 581, 9543, 609, 1346, 945, 13842, 1864, 269, 1284, 2661, 538, 2053, 950, 5132, 568, 3592, 513, 27803, 269, 2290, 1058, 1413, 4464, 547, 4896, 945, 1869, 12909, 827, 2696, 693, 782, 269, 634, 1483, 2243, 568, 1018, 649, 1616, 693, 782, 286, 1684, 649, 267, 693, 519, 13258, 540, 2093, 543, 19237, 267, 2119, 547, 911, 332, 921, 519, 9371, 540, 519, 21024, 676, 1010, 3952, 267, 610, 798, 649, 1616, 547, 4163, 1010, 11419, 1369, 721, 543, 1780, 621, 593, 547, 1866, 286, 2060, 23769, 2044, 267, 24271, 559, 612, 17933, 610, 818, 5766, 766, 267, 649, 1152, 19225, 523, 1004, 563, 2171, 917, 602, 29770, 1492, 1608, 13023, 622, 2108, 543, 29770, 1492, 9099, 1533, 2108, 941, 2141, 1175, 543, 1390, 538, 1686, 1317, 789, 941, 9859, 547, 29770, 1492, 1744, 7559, 327, 2108, 543, 29770, 1492, 772, 332, 2742, 2108, 729, 513, 8748, 267, 8647, 29770, 29774, 2108, 689, 29770, 8967, 664, 547, 3624, 543, 12868, 2108, 563, 288, 21981, 547, 519, 32660, 540, 519, 17286, 329, 4157, 1608, 13023, 622, 568, 2016, 547, 721, 676, 594, 16818, 620, 268, 387, 355, 1177, 345, 13682, 267, 945, 6645, 721, 540, 513, 1164, 8573, 21403, 29770, 322, 2753, 22700, 2108, 4171, 2156, 1492, 3149, 1058, 581, 17303, 6806, 676, 606, 15435, 547, 20758, 1055, 519, 10751, 540, 2696, 585, 20045, 24863, 611, 269, 769, 519, 1439, 267, 29770, 1492, 9099, 1533, 2108, 1287, 1175, 569, 6976, 13180, 585, 519, 2530, 540, 15271, 538, 519, 1158, 779, 9510, 3924, 267, 799, 729, 1152, 2944, 538, 2070, 540, 519, 31873, 10751, 676, 2696, 563, 1692, 1434, 602, 3388, 729, 1732, 538, 519, 18710, 2395, 1107, 2353, 1480, 7919, 941, 23109, 267, 519, 1608, 13023, 25374, 585, 519, 1744, 7559, 327, 543, 3388, 3116, 269, 3367, 621, 3054, 281, 769, 519, 3923, 540, 18841, 372, 492, 19476, 620, 29841, 320, 685, 6767, 476, 5379, 280, 589, 295, 1496, 9802, 1315, 4873, 476, 13040, 278, 5084, 3910, 1082, 3676, 21256, 538, 20045, 24863, 611, 267, 12984, 527, 543, 27517, 611, 269, 1703, 941, 865, 1082, 4666, 602, 519, 4610, 538, 519, 2848, 28500, 1223, 711, 581, 19122, 267, 2094, 972, 729, 1100, 835, 3116, 945, 1223, 723, 2944, 713, 269, 5381, 3377, 849, 3357, 689, 519, 2274, 2779, 324, 1496, 320, 20795, 268, 385, 510, 5953, 332, 4940, 2201, 519, 14206, 1554, 540, 519, 3923, 18841, 372, 492, 19476, 620, 29841, 320, 685, 6767, 476, 5379, 280, 589, 295, 1496, 1428, 269, 4873, 476, 13040, 278, 5084, 3910, 519, 5870, 4025, 540, 5609, 543, 519, 8075, 540, 13030, 941, 6806, 1524, 543, 23542, 1639, 538, 20045, 24863, 611, 563, 763, 30380, 569, 27142, 1185, 547, 25176, 1317, 540, 606, 1931, 689, 519, 1608, 13023, 547, 1010, 19524, 2987, 268, 27815, 267, 945, 267, 2705, 2808, 891, 5238, 607, 535, 3971, 338, 269, 634, 1608, 13023, 4941, 547, 2285, 1864, 476, 1911, 271, 7188, 1513, 607, 13180, 267, 799, 519, 4108, 17294, 15189, 1317, 519, 4747, 729, 7363, 476, 5197, 271, 7188, 1513, 269, 901, 729, 1287, 20083, 609, 15281, 17554, 497, 5953, 332, 620, 5336, 592, 330, 267, 945, 267, 593, 1010, 851, 267, 9104, 730, 519, 4108, 17294, 543, 10288, 10220, 609, 519, 29611, 563, 1607, 16957, 2696, 3491, 13094, 2836, 13023, 622, 267, 799, 568, 9277, 547, 581, 16832, 689, 519, 1744, 926, 685, 1695, 267, 799, 1131, 1711, 27032, 593, 3618, 2687, 547, 519, 1629, 698, 690, 1132, 267, 11214, 267, 3833, 9490, 569, 2614, 267, 8604, 711, 693, 782, 1134, 16162, 12723, 547, 519, 28556, 543, 3020, 646, 15077, 540, 519, 21024, 267, 519, 3705, 1562, 540, 1744, 7559, 327, 563, 6624, 16339, 1824, 543, 1119, 7847, 941, 711, 4010, 2695, 324, 600, 880, 547, 32003, 1271, 1004, 269, 19869, 592, 7356, 1731, 536, 269, 3057, 342, 31488, 543, 1010, 1973, 628, 1009, 344, 2489, 476, 387, 356, 387, 356, 320, 387, 356, 5953, 387, 356, 620, 268, 17554, 496, 5953, 3916, 630, 1492, 1119, 7949, 540, 962, 19476, 338, 18860, 513, 9719, 363, 268, 9719, 362, 26698, 2378, 13682, 264, 941, 1634, 547, 6146, 19300, 19487, 950, 891, 1185, 603, 338, 610, 8369, 941, 711, 538, 741, 1719, 269, 898, 568, 3020, 602, 1022, 11318, 540, 1480, 7919, 540, 1169, 2186, 568, 538, 938, 2070, 15265, 267, 855, 519, 1608, 13023, 622, 1361, 6048, 1223, 3533, 28195, 32097, 3441, 281, 1202, 4026, 757, 1590, 581, 17204, 267, 1018, 3116, 888, 3719, 519, 1686, 540, 519, 12809, 1202, 18675, 540, 519, 5640, 267, 519, 11318, 540, 19300, 19487, 896, 519, 7333, 1676, 540, 519, 1608, 13023, 622, 267, 3112, 581, 14284, 676, 519, 1629, 698, 4084, 563, 2080, 568, 1776, 1650, 689, 519, 4158, 12225, 2873, 540, 519, 1608, 13023, 622, 281, 1955, 600, 2806, 19476, 18841, 372, 353, 534, 13682, 17304, 267, 4440, 519, 6574, 1955, 2742, 540, 519, 674, 28999, 327, 1310, 594, 16818, 476, 387, 356, 320, 387, 356, 541, 620, 5336, 752, 330, 13682, 620, 268, 385, 510, 5953, 25206, 685, 13682, 267, 729, 2016, 676, 962, 1794, 13682, 323, 536, 269, 2549, 337, 7036, 539, 547, 1831, 9794, 543, 17294, 918, 18860, 553, 563, 763, 1955, 600, 17379, 269, 1261, 1705, 711, 1294, 621, 607, 513, 1390, 4316, 547, 6368, 4163, 998, 519, 1744, 926, 685, 1695, 4628, 543, 9444, 607, 606, 8956, 543, 5609, 1356, 640, 547, 4196, 519, 2836, 13023, 622, 269, 2201, 519, 14669, 267, 646, 21787, 21440, 269, 3973, 646, 729, 3533, 16207, 883, 519, 546, 25128, 517, 543, 627, 5792, 269, 634, 28165, 3068, 540, 713, 1955, 600, 2220, 8215, 269, 634, 1985, 1554, 646, 729, 6035, 519, 2816, 1586, 543, 4280, 585, 942, 547, 1589, 827, 621, 269, 1261, 14612, 547, 2725, 17433, 543, 18423, 538, 2725, 17433, 585, 2947, 610, 3670, 1296, 563, 2691, 519, 2034, 1608, 13023, 540, 519, 2806, 21353, 1749, 267, 32617, 584, 267, 3357, 883, 1379, 267, 519, 1955, 600, 729, 547, 581, 8947, 1586, 269, 634, 2836, 13023, 2494, 23973, 19476, 337, 7494, 15197, 519, 1955, 5953, 332, 269, 1261, 5795, 1864, 476, 1015, 267, 1822, 8988, 11113, 543, 513, 10553, 269, 634, 1955, 600, 15653, 713, 10516, 563, 10048, 639, 584, 267, 607, 513, 1906, 1354, 1864, 267, 729, 513, 1119, 7949, 269, 769, 476, 13970, 589, 295, 267, 594, 1962, 5953, 327, 13682, 332, 536, 269, 722, 504, 6781, 323, 1638, 5953, 327, 536, 269, 1955, 5953, 332, 18841, 372, 353, 553, 534, 6394, 538, 2405, 2088, 585, 519, 605, 17474, 540, 1010, 1378, 1608, 13023, 622, 7980, 269, 1261, 3357, 547, 27173, 17304, 543, 972, 729, 513, 15555, 528, 538, 27173, 17304, 602, 1955, 5953, 332, 2806, 19476, 18841, 372, 353, 534, 13682, 17304, 1185, 6462, 1864, 269, 2494, 23973, 19476, 337, 267, 540, 1576, 267, 729, 711, 20938, 269, 1261, 1185, 519, 1955, 600, 540, 27173, 17304, 4547, 547, 20045, 24863, 611, 269, 1703, 646, 7142, 519, 1955, 600, 547, 605, 8010, 602, 646, 267, 2494, 23973, 19476, 337, 267, 729, 519, 1152, 3020, 1608, 13023, 267, 543, 2494, 23973, 19476, 337, 6035, 1864, 519, 5207, 16324, 5604, 563, 3719, 607, 519, 1955, 600, 729, 540, 1164, 5601, 17349, 543, 16712, 16034, 1705, 711, 1719, 1864, 267, 646, 15653, 713, 269, 901, 20754, 2494, 23973, 19476, 337, 543, 646, 25653, 2806, 19476, 18841, 372, 353, 534, 13682, 17304, 269, 3571, 25711, 3459, 519, 666, 532, 609, 476, 1789, 18116, 1107, 1973, 2095, 539, 689, 519, 3952, 540, 519, 1955, 600, 269, 2494, 23973, 19476, 337, 26845, 1540, 713, 543, 538, 606, 957, 540, 1121, 16017, 543, 16185, 543, 8086, 267, 646, 2366, 519, 1955, 600, 476, 1789, 267, 1822, 8988, 11113, 269, 634, 1955, 600, 15653, 713, 1586, 563, 1607, 4682, 1932, 2484, 585, 519, 1434, 2494, 23973, 19476, 337, 256, 1261, 2847, 1263, 539, 2806, 19476, 18841, 372, 353, 534, 13682, 17304, 1586, 267, 855, 646, 10288, 476, 2412, 18116, 1107, 1169, 824, 1554, 4557, 811, 269, 2201, 519, 476, 1556, 628, 1554, 267, 2494, 23973, 19476, 337, 21787, 519, 15148, 1206, 540, 519, 1004, 269, 634, 1931, 547, 6146, 3357, 16425, 267, 519, 1955, 600, 729, 2322, 593, 1010, 1394, 543, 8914, 539, 1864, 269, 1924, 267, 646, 5747, 538, 519, 1032, 476, 5611, 269, 0, 13775, 693, 13723, 267, 5181, 476, 1626, 628, 476, 1708, 271, 269, 676, 10493, 807, 2871, 650, 517, 538, 4569, 6103, 476, 276, 563, 2252, 707, 3791, 1178, 1457, 2115, 948, 609, 2979, 267, 972, 616, 1082, 3730, 2645, 602, 666, 22434, 2047, 689, 519, 2780, 269, 4569, 568, 513, 1641, 602, 568, 1655, 6026, 609, 3308, 11226, 267, 1818, 519, 4245, 811, 15889, 585, 1053, 269, 12059, 3446, 666, 581, 3226, 4101, 950, 621, 2501, 547, 2979, 267, 607, 713, 568, 519, 1032, 602, 1053, 616, 1565, 827, 8454, 267, 7893, 543, 20604, 3615, 267, 24275, 543, 10203, 2724, 269, 4107, 11932, 267, 3791, 17603, 1058, 581, 6899, 609, 519, 9238, 540, 2979, 971, 607, 4946, 267, 18946, 267, 14921, 543, 12270, 269, 1403, 707, 1126, 568, 711, 6899, 609, 891, 2596, 3334, 267, 621, 568, 3592, 17149, 602, 646, 610, 1352, 786, 6560, 609, 2104, 2979, 4245, 563, 14399, 945, 6560, 538, 513, 2757, 1565, 1604, 666, 849, 1205, 1390, 4324, 689, 3059, 1565, 3756, 269, 20308, 5867, 1683, 513, 1187, 1259, 547, 1451, 1510, 4250, 540, 5821, 543, 2285, 12587, 602, 616, 538, 1899, 609, 1018, 568, 1373, 4121, 269, 3414, 3756, 267, 707, 1126, 666, 2744, 519, 6015, 646, 610, 1352, 2115, 547, 1935, 2979, 2035, 602, 2899, 8604, 7543, 269, 901, 6015, 2337, 2087, 1153, 2773, 543, 666, 1291, 547, 811, 2318, 7589, 538, 513, 4928, 1604, 269, 9521, 2596, 1153, 6437, 267, 3059, 1565, 3756, 666, 581, 2966, 547, 1847, 693, 707, 1126, 814, 10605, 269, 3509, 3756, 4183, 2157, 602, 1628, 2390, 1142, 824, 267, 865, 707, 1126, 1281, 711, 723, 547, 1694, 998, 4245, 602, 646, 610, 1352, 814, 2907, 27058, 269, 5502, 267, 1142, 1377, 540, 519, 3014, 4679, 538, 7411, 4470, 593, 875, 1134, 1978, 2093, 723, 1044, 9787, 539, 269, 901, 5932, 513, 2688, 1565, 1604, 524, 23926, 547, 519, 10605, 707, 1126, 7959, 6899, 609, 269, 9453, 519, 2566, 540, 20468, 827, 1373, 2451, 3297, 610, 519, 30627, 602, 666, 1267, 689, 2348, 547, 7227, 547, 1847, 593, 267, 3214, 666 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]