Datasets:
SmallDoge
/
stable_dataset_processed

Dataset card Data Studio Files
xet
Community
Search is not available for this dataset
input_ids
listlengths
1
2.05k
attention_mask
listlengths
1
2.05k
[ 561, 990, 5944, 4217, 938, 19644, 835, 547, 5884, 29596, 269, 634, 16008, 2488, 2620, 11812, 585, 519, 1272, 540, 519, 1367, 945, 568, 538, 519, 1184, 540, 610, 814, 2907, 8977, 539, 543, 6770, 17615, 19479, 269, 634, 9837, 540, 519, 2677, 335, 778, 334, 568, 547, 1711, 513, 22774, 8115, 1063, 519, 10600, 267, 547, 8897, 519, 1184, 540, 15385, 936, 563, 6701, 596, 27278, 676, 519, 7872, 540, 14379, 609, 1004, 627, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 289, 7495, 312, 267, 631, 18853, 1299, 9501, 7644, 3951, 1315, 1744, 16120, 1143, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269, 0, 17345, 5149, 281, 4197, 15928, 543, 1234, 1231, 4269, 692, 5970, 596, 2479, 9289, 1018, 4523, 547, 782, 519, 2724, 602, 707, 3237, 2628, 585, 741, 1286, 610, 1072, 6142, 286, 4270, 267, 602, 2724, 3085, 1405, 1175, 1694, 1472, 538, 513, 2462, 29256, 12341, 256, 5502, 267, 621, 781, 1031, 676, 6142, 3549, 547, 948, 1004, 945, 723, 1185, 10913, 610, 20335, 7210, 269, 1809, 875, 666, 891, 6142, 3549, 6488, 547, 2628, 585, 3388, 286, 2334, 781, 1141, 1981, 4879, 543, 2359, 2097, 538, 2439, 5331, 602, 596, 543, 707, 2828, 1616, 547, 1376, 513, 8630, 1141, 3025, 17188, 546, 1132, 547, 979, 593, 1187, 9035, 1927, 269, 1411, 991, 547, 4137, 856, 875, 1454, 1142, 1268, 2115, 547, 3565, 865, 602, 972, 786, 581, 2614, 2724, 547, 3382, 1022, 6397, 3790, 267, 899, 952, 2576, 4991, 10413, 543, 2115, 2564, 3007, 269, 901, 568, 2147, 547, 1018, 6142, 3549, 798, 950, 789, 2708, 4220, 269, 1358, 1413, 693, 1919, 899, 875, 2693, 621, 568, 602, 1945, 3983, 786, 4755, 543, 875, 1454, 621, 1522, 1942, 547, 4368, 621, 269, 3973, 267, 789, 946, 713, 1344, 547, 1305, 14167, 338, 267, 610, 519, 2179, 540, 2724, 602, 1004, 2628, 585, 6142, 3795, 780, 3719, 3006, 267, 1256, 609, 6297, 4058, 267, 2731, 2462, 12469, 666, 4755, 602, 616, 1932, 7199, 585, 1175, 835, 6142, 2754, 547, 6023, 269, 2334, 781, 1141, 556, 1231, 4269, 2501, 538, 256, 3807, 607, 596, 1522, 2307, 1776, 3659, 547, 6443, 707, 8630, 543, 2671, 930, 540, 519, 5539, 585, 9878, 585, 9035, 267, 6142, 3549, 666, 4444, 556, 1231, 4269, 547, 3262, 856, 519, 1981, 543, 1118, 2386, 789, 723, 2614, 2724, 547, 2628, 585, 6811, 780, 3086, 1577, 781, 2911, 827, 1946, 6142, 543, 556, 1231, 4269, 3549, 616, 865, 1271, 269, 1452, 3549, 1404, 513, 4105, 1909, 538, 938, 4346, 543, 2883, 1062, 1317, 789, 1683, 513, 2631, 540, 3354, 543, 6617, 269, 1879, 1004, 917, 602, 789, 666, 7048, 593, 6142, 547, 2149, 873, 538, 2013, 540, 18002, 267, 789, 1745, 811, 8746, 9140, 5321, 267, 4358, 4213, 267, 543, 1818, 824, 9541, 602, 948, 1332, 519, 4346, 269, 1656, 950, 6142, 3549, 616, 7123, 543, 20019, 3280, 267, 789, 666, 1832, 909, 741, 1439, 540, 519, 20476, 664, 543, 2628, 856, 6811, 950, 2877, 780, 6546, 781, 1946, 6142, 543, 556, 1231, 4269, 3549, 723, 7453, 3652, 543, 4808, 547, 1246, 950, 621, 2501, 547, 5883, 741, 18083, 543, 4238, 269, 1280, 1383, 267, 538, 2342, 267, 972, 781, 1945, 1572, 519, 3752, 1597, 1097, 4083, 4521, 602, 5036, 4441, 585, 875, 891, 3549, 7500, 269, 634, 3804, 568, 547, 1118, 2386, 602, 6142, 543, 556, 1231, 4269, 3549, 616, 2141, 5423, 547, 2743, 741, 13800, 547, 3609, 6868, 543, 2226, 519, 3972, 540, 519, 1857, 780, 1103, 5758, 267, 6142, 543, 556, 1231, 4269, 3549, 616, 1898, 585, 4509, 513, 2178, 543, 7524, 4346, 269, 1635, 5402, 12570, 4220, 543, 10825, 856, 519, 1761, 3790, 998, 556, 1231, 4269, 267, 891, 3549, 1711, 513, 3106, 2121, 602, 2337, 2043, 543, 4213, 8853, 269, 1924, 1985, 942, 596, 1294, 707, 3237, 1603, 513, 2638, 585, 6142, 267, 7618, 873, 602, 789, 2811, 4543, 1628, 513, 6793, 2104, 585, 721, 782, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 7072, 1107, 26479, 1107, 1160, 15251, 1275, 454, 11900, 4269, 543, 556, 1231, 4269, 3549, 1404, 513, 2629, 1857, 1909, 538, 519, 4346, 543, 519, 2883, 1062, 269, 769, 1880, 267, 789, 1491, 593, 513, 1804, 1297, 540, 1279, 3856, 19647, 630, 324, 3052, 269, 519, 934, 745, 531, 540, 24045, 533, 5014, 264, 799, 2154, 513, 1164, 4110, 540, 6015, 538, 741, 1151, 1597, 1097, 543, 6617, 269, 1306, 513, 1267, 267, 3549, 1058, 3479, 547, 2921, 782, 3800, 2556, 547, 2327, 741, 1870, 568, 18170, 1134, 267, 711, 1152, 538, 519, 1719, 540, 741, 1378, 2359, 855, 849, 547, 8190, 519, 6015, 540, 519, 1857, 267, 741, 5561, 543, 519, 2883, 1062, 269, 14675, 10350, 568, 835, 540, 519, 7944, 18429, 540, 519, 1697, 8647, 540, 519, 2872, 543, 540, 519, 2883, 1062, 538, 2489, 563, 763, 10350, 5943, 585, 6142, 543, 556, 1231, 4269, 3549, 13408, 2789, 5931, 912, 268, 5426, 476, 272, 281, 519, 4521, 540, 476, 1724, 4728, 476, 1001, 277, 593, 519, 3656, 4567, 543, 15569, 540, 6142, 610, 556, 1231, 4269, 3549, 630, 1492, 3752, 1597, 1097, 4083, 4521, 1070, 799, 1098, 5099, 519, 865, 10777, 3752, 1597, 1097, 4083, 6034, 633, 1775, 4318, 269, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 29642, 1299, 18598, 1315, 15928, 1315, 11485, 10495, 1299, 5004, 1315, 1234, 1231, 4269, 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, 2518, 1242, 1158, 267, 2152, 4478, 2686, 3961, 543, 934, 738, 4851, 723, 1831, 5051, 4143, 543, 1950, 269, 2060, 23960, 3928, 540, 900, 12568, 543, 11776, 267, 1004, 1265, 2933, 10188, 2789, 4529, 2429, 741, 2729, 269, 769, 713, 3184, 267, 649, 786, 2263, 891, 2035, 998, 519, 7828, 540, 513, 4241, 2413, 2245, 1369, 3332, 1107, 513, 1560, 540, 960, 602, 23594, 2021, 781, 9739, 543, 2833, 269, 1284, 786, 4983, 875, 4589, 971, 607, 9098, 26741, 325, 267, 31929, 4639, 267, 25562, 6660, 2280, 267, 543, 667, 13034, 269, 18039, 8329, 547, 21108, 2021, 781, 1603, 543, 4101, 4008, 11475, 538, 3332, 269, 3414, 7421, 713, 5339, 2796, 267, 649, 2832, 547, 15052, 938, 1620, 540, 1514, 2257, 6436, 17640, 547, 2686, 3961, 5250, 543, 934, 738, 4851, 2994, 1851, 19366, 5095, 780, 1262, 296, 269, 8836, 14740, 19725, 4373, 265, 288, 30818, 2878, 14240, 540, 8836, 14740, 5093, 2311, 922, 4295, 267, 2686, 3961, 4016, 547, 519, 2631, 540, 10362, 547, 513, 1880, 1895, 1759, 593, 3838, 2418, 267, 4978, 267, 9821, 267, 5615, 267, 543, 13742, 269, 898, 13315, 1312, 1582, 268, 1211, 2305, 543, 8446, 676, 1866, 269, 1306, 11082, 4497, 609, 1007, 2686, 5054, 267, 789, 949, 1995, 10593, 538, 741, 2686, 9163, 1813, 547, 1585, 2188, 899, 3984, 2486, 6788, 267, 2123, 18144, 267, 543, 30427, 4296, 780, 265, 289, 30818, 2878, 15253, 7859, 540, 8836, 14740, 5093, 1677, 1732, 1174, 519, 6384, 693, 1404, 950, 2043, 21907, 1114, 2686, 21384, 267, 1577, 721, 2736, 1524, 930, 1883, 3334, 540, 2686, 3961, 1384, 476, 476, 272, 269, 2608, 23458, 15846, 589, 4105, 2460, 540, 1022, 2528, 267, 1893, 5713, 607, 513, 3119, 1797, 998, 799, 1004, 5968, 2093, 267, 4664, 267, 543, 5389, 269, 8056, 580, 7847, 1419, 3068, 10409, 2591, 1247, 15268, 547, 513, 1007, 1604, 267, 3056, 547, 1761, 2242, 538, 741, 2792, 3270, 543, 1893, 7375, 780, 476, 476, 273, 269, 2608, 11749, 1132, 543, 27801, 338, 15846, 32655, 8155, 543, 3741, 3337, 1367, 2623, 1369, 513, 2686, 5943, 269, 1879, 21947, 609, 17804, 1871, 1949, 267, 11082, 1590, 31363, 27753, 1063, 2025, 543, 1007, 3661, 3889, 267, 5732, 18363, 741, 2949, 2686, 3961, 780, 476, 476, 274, 269, 2608, 290, 755, 1682, 543, 26492, 15846, 23433, 2853, 267, 12738, 267, 543, 16873, 948, 5581, 2686, 2516, 269, 22685, 1154, 610, 4509, 1808, 9821, 666, 24901, 30901, 609, 1978, 2950, 543, 3565, 547, 5935, 835, 781, 2686, 3961, 780, 1262, 2862, 269, 6452, 738, 4851, 11150, 4373, 2026, 11082, 7237, 3209, 2686, 8916, 267, 789, 2308, 1585, 934, 738, 4851, 2994, 547, 3082, 543, 8853, 269, 1452, 4485, 2039, 689, 21939, 547, 9668, 267, 5610, 267, 543, 30886, 1384, 265, 288, 30818, 2878, 10112, 574, 7976, 4995, 4676, 619, 547, 519, 1184, 17929, 11082, 10205, 741, 3312, 2686, 7592, 543, 9772, 1346, 540, 519, 8789, 2528, 269, 2755, 621, 6087, 15774, 5610, 883, 13416, 2486, 267, 21939, 1522, 1267, 538, 2530, 540, 6561, 543, 771, 28947, 689, 835, 781, 5072, 780, 265, 289, 30818, 2878, 20225, 9653, 4995, 9484, 9653, 3322, 8497, 835, 781, 5065, 2528, 1510, 2502, 609, 519, 3984, 2486, 269, 4014, 713, 4640, 2636, 585, 12802, 540, 2686, 8699, 267, 621, 1223, 1291, 547, 4606, 540, 10072, 543, 17181, 780, 265, 290, 30818, 2878, 18204, 1674, 4995, 16949, 4564, 513, 7059, 1935, 13296, 11082, 2226, 3344, 540, 741, 1378, 2528, 1247, 8195, 10283, 538, 519, 9962, 2486, 269, 1635, 5807, 17685, 8590, 5188, 543, 8994, 2463, 267, 5610, 8992, 22122, 543, 10103, 780, 265, 291, 30818, 2878, 300, 1173, 1400, 1436, 4995, 12540, 1400, 1436, 4386, 950, 11082, 1745, 16934, 689, 1312, 741, 1753, 543, 3984, 4529, 269, 11790, 7700, 547, 30886, 949, 1331, 7130, 267, 14882, 267, 610, 3668, 540, 1489, 5121, 780, 1262, 7656, 269, 9085, 543, 8836, 14740, 19725, 4373, 4131, 721, 1631, 2490, 938, 3007, 547, 519, 1909, 5129, 676, 3332, 538, 10452, 267, 17923, 267, 543, 4101, 2686, 9163, 269, 13018, 267, 649, 786, 5659, 1568, 676, 9098, 26741, 325, 267, 31929, 4639, 267, 25562, 6660, 2280, 267, 543, 667, 13034, 269, 18039, 602, 2232, 4008, 29373, 1369, 519, 5339, 17374, 543, 3564, 780, 265, 288, 30818, 2878, 2419, 2086, 542, 532, 6468, 781, 966, 7860, 4995, 19536, 899, 9098, 26741, 325, 543, 31929, 4639, 13084, 16845, 2021, 781, 1603, 1282, 513, 942, 950, 2367, 13856, 519, 5339, 6429, 269, 4256, 14223, 5280, 17362, 519, 1259, 585, 2104, 5481, 540, 4775, 4589, 945, 8179, 547, 2769, 741, 2189, 5380, 543, 2833, 780, 265, 289, 30818, 2878, 8138, 31844, 13834, 11870, 338, 15846, 3718, 676, 25562, 6660, 2280, 543, 667, 13034, 269, 18039, 4161, 2757, 4008, 5107, 543, 6788, 269, 1635, 3695, 4798, 540, 4638, 19802, 267, 1379, 6384, 267, 543, 6848, 10148, 267, 891, 4589, 5000, 3988, 547, 2243, 14461, 11008, 3074, 540, 27828, 543, 8706, 6541, 780, 1262, 4353, 269, 20710, 3101, 2622, 338, 281, 9085, 543, 6452, 738, 4851, 4373, 7661, 267, 2015, 875, 3332, 666, 4196, 607, 513, 8115, 8220, 3309, 4529, 543, 14123, 3444, 14426, 1620, 269, 24167, 5931, 602, 10994, 4798, 540, 9194, 267, 12761, 267, 543, 9542, 2488, 3407, 4030, 883, 519, 14960, 540, 934, 738, 4851, 3157, 269, 5015, 267, 4974, 3332, 2854, 676, 11082, 3091, 1350, 31663, 525, 883, 741, 5030, 2833, 267, 7393, 938, 7071, 585, 519, 3638, 13795, 540, 1480, 6228, 780, 1103, 3932, 267, 18167, 883, 519, 2078, 1063, 2686, 3961, 5250, 267, 934, 738, 4851, 2994, 267, 543, 3332, 24259, 1769, 593, 10296, 8739, 27791, 4145, 5185, 676, 4207, 7239, 21679, 609, 2810, 4763, 269, 1635, 6313, 519, 2081, 538, 799, 4589, 723, 7722, 609, 891, 3584, 2429, 1686, 267, 649, 2744, 2565, 2645, 2556, 585, 5009, 13784, 267, 6568, 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 ]
[ 3769, 1896, 2090, 10747, 6169, 6361, 1523, 585, 1312, 4550, 6261, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 21296, 3733, 601, 5448, 257, 607, 851, 540, 834, 25503, 1315, 2201, 19223, 1315, 2274, 23627, 1299, 700, 8233, 5448, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1808, 1591, 269, 589, 1007, 6656, 786, 2408, 267, 17609, 782, 519, 13366, 19882, 896, 621, 563, 22479, 3809, 540, 5616, 25420, 685, 623, 643, 582, 23959, 454, 11386, 25420, 685, 623, 643, 582, 7305, 568, 711, 1175, 585, 28388, 519, 2418, 540, 513, 6241, 269, 1411, 666, 798, 865, 1454, 811, 256, 3371, 616, 930, 540, 519, 2934, 912, 11764, 3405, 1944, 2418, 676, 4266, 543, 942, 269, 2290, 540, 519, 1034, 1455, 7355, 547, 17412, 13366, 568, 547, 17412, 676, 4266, 543, 942, 269, 1411, 786, 991, 547, 798, 513, 1906, 15361, 547, 1118, 621, 960, 269, 6744, 938, 5850, 547, 1451, 811, 827, 621, 563, 21446, 2510, 585, 28388, 2418, 3079, 540, 590, 9331, 269, 1635, 9949, 267, 519, 2418, 616, 10015, 730, 883, 590, 9331, 282, 2705, 267, 713, 4542, 568, 711, 519, 1152, 4781, 269, 1411, 666, 14919, 621, 543, 1205, 513, 1114, 1871, 269, 2368, 540, 519, 824, 12596, 616, 7396, 2630, 912, 4596, 7419, 307, 910, 12523, 519, 1297, 540, 13366, 454, 16787, 2207, 17803, 910, 21410, 519, 3328, 1871, 540, 519, 13366, 454, 7246, 311, 910, 519, 5021, 1871, 454, 300, 2562, 910, 519, 5934, 1871, 454, 4306, 291, 14110, 910, 519, 3044, 11539, 540, 519, 1305, 540, 2418, 454, 11754, 513, 2688, 4542, 547, 519, 623, 643, 582, 7305, 269, 6884, 519, 2707, 6656, 1281, 711, 723, 513, 6241, 585, 519, 1239, 596, 991, 267, 543, 596, 3112, 12189, 519, 2707, 6656, 269, 1403, 519, 3710, 2987, 3252, 7396, 1657, 616, 711, 2614, 267, 596, 666, 1039, 513, 2688, 4542, 593, 519, 623, 643, 582, 7305, 269, 6744, 938, 5850, 593, 4946, 513, 2688, 4542, 547, 519, 623, 643, 582, 7305, 563, 1692, 547, 946, 717, 4953, 303, 4353, 5588, 291, 25353, 547, 1569, 1239, 6740, 538, 513, 623, 643, 582, 7305, 454, 288, 3730, 1599, 596, 666, 946, 547, 2417, 1184, 519, 1239, 538, 519, 623, 643, 582, 23959, 568, 519, 717, 4953, 303, 4353, 5588, 291, 25353, 269, 5502, 540, 8506, 596, 547, 22942, 519, 3169, 1591, 1141, 519, 1239, 568, 6740, 3330, 519, 623, 643, 582, 7305, 630, 527, 568, 2009, 1070, 519, 717, 4953, 303, 4353, 5588, 291, 25353, 2337, 596, 1265, 519, 1239, 2016, 519, 10305, 596, 616, 5432, 609, 267, 519, 6241, 543, 4737, 2212, 619, 596, 723, 9138, 538, 519, 2707, 6656, 269, 1411, 666, 1451, 811, 676, 17034, 938, 5850, 593, 1210, 717, 4953, 303, 4353, 5588, 291, 25353, 1934, 269, 0, 294, 320, 1380, 631, 2678, 630, 15761, 2105, 19405, 994, 1432, 568, 513, 12821, 1380, 631, 2678, 2107, 13804, 564, 10309, 888, 288, 12821, 1380, 631, 2678, 610, 13804, 564, 10309, 568, 606, 5122, 6293, 602, 9193, 519, 4222, 543, 4287, 540, 6419, 4610, 269, 4706, 1292, 3334, 616, 519, 32364, 1380, 16785, 610, 9300, 267, 513, 11281, 543, 513, 10814, 547, 1921, 1312, 269, 898, 13333, 593, 519, 8065, 6356, 6240, 610, 5748, 269, 0, 21938, 476, 278, 267, 476, 1001, 274, 454, 20091, 968, 763, 7689, 892, 814, 1185, 513, 7096, 1764, 593, 803, 269, 634, 13513, 678, 836, 865, 3020, 547, 1250, 2123, 1272, 2833, 543, 7323, 18703, 4564, 1082, 1004, 602, 594, 723, 2097, 538, 3346, 609, 538, 1250, 2123, 3460, 269, 634, 6835, 543, 5380, 602, 2542, 713, 1650, 1500, 803, 14719, 622, 941, 1360, 3001, 269, 634, 1893, 1031, 729, 2178, 855, 621, 6039, 513, 3483, 602, 32570, 539, 803, 547, 519, 4641, 540, 519, 4783, 540, 6710, 269, 898, 3361, 803, 547, 2322, 1250, 2070, 540, 13919, 538, 2638, 269, 634, 3197, 538, 713, 1650, 543, 741, 6547, 1500, 803, 14719, 622, 519, 29373, 602, 835, 779, 1604, 543, 3908, 4598, 666, 723, 593, 5935, 519, 3460, 540, 1272, 269, 634, 6302, 543, 23665, 267, 1483, 610, 16545, 2291, 1813, 547, 6381, 540, 4332, 269, 9483, 4567, 568, 513, 11064, 602, 666, 581, 4957, 676, 4598, 543, 513, 2620, 7287, 547, 9784, 519, 7872, 540, 1689, 267, 519, 6228, 540, 4126, 267, 543, 513, 1272, 711, 2943, 4810, 269, 7323, 18703, 779, 4832, 32751, 687, 1498, 789, 941, 513, 1259, 540, 9101, 585, 519, 3237, 538, 519, 1650, 941, 5452, 540, 4126, 585, 519, 1453, 269, 594, 723, 4061, 6074, 547, 1445, 593, 7323, 18703, 269, 2701, 568, 519, 1152, 1268, 538, 713, 1650, 945, 2965, 6499, 547, 948, 891, 3214, 543, 1397, 873, 972, 568, 513, 1732, 1259, 540, 1272, 856, 972, 585, 873, 269, 594, 786, 4983, 1200, 24500, 267, 1200, 2409, 267, 543, 519, 11029, 6286, 540, 1200, 5048, 540, 4126, 563, 2414, 1174, 513, 1268, 779, 3020, 8247, 610, 3483, 3340, 602, 649, 4983, 741, 24500, 269, 1548, 616, 519, 5817, 3741, 610, 13821, 602, 1118, 873, 7903, 998, 9465, 547, 9585, 741, 6859, 269, 7323, 18703, 568, 5693, 12592, 676, 513, 2178, 2631, 540, 2123, 5539, 269, 634, 1249, 602, 1352, 814, 513, 2852, 4110, 814, 3366, 547, 513, 7287, 585, 1200, 547, 3914, 1394, 543, 948, 5000, 1866, 547, 4228, 741, 20030, 269, 769, 968, 763, 7689, 3034, 29309, 18703, 814, 6273, 803, 547, 3914, 1394, 547, 1250, 2146, 950, 594, 1205, 513, 2370, 4587, 269, 4173, 24500, 538, 713, 4062, 616, 1360, 1434, 543, 11121, 547, 4896, 945, 14509, 713, 1650, 269, 2701, 11414, 519, 3214, 972, 568, 513, 1259, 856, 540, 20341, 269, 3807, 1317, 596, 2461, 4057, 3085, 1406, 1611, 596, 723, 547, 3251, 899, 602, 519, 1964, 540, 707, 1272, 269, 634, 1249, 602, 972, 3237, 1450, 873, 547, 979, 593, 9118, 15143, 609, 713, 14799, 2982, 789, 1616, 513, 1732, 1272, 585, 741, 1453, 602, 789, 666, 1406, 2285, 873, 1318, 1631, 269, 7323, 18703, 20502, 1200, 2470, 331, 5898, 676, 711, 9849, 1118, 5346, 543, 8952, 1200, 4552, 2470, 331, 269, 2701, 568, 513, 3109, 14799, 945, 2141, 32293, 585, 1967, 269, 7323, 18703, 6499, 547, 1397, 891, 3214, 602, 972, 568, 513, 1732, 1272, 875, 1934, 585, 596, 269, 2701, 814, 513, 2852, 4110, 543, 1352, 7959, 621, 779, 1200, 10279, 607, 606, 13473, 3109, 4807, 602, 1352, 814, 547, 1205, 891, 3214, 6534, 0, 290, 564, 2376, 1609, 7006, 517, 1043, 694, 340, 2211, 679, 2587, 5055, 529, 563, 763, 14411, 28393, 1017, 5917, 11229, 585, 5753, 543, 15272, 630, 8008, 3722, 312, 264, 814, 3812, 513, 3391, 547, 948, 1762, 1004, 538, 21621, 1416, 1174, 543, 3635, 741, 1072, 2924, 563, 2304, 577, 1819, 538, 7840, 689, 3733, 7464, 5020, 3883, 630, 1492, 1867, 689, 519, 15272, 2274, 3058, 5516, 22694, 894, 670, 792, 902, 264, 519, 31597, 2657, 7126, 27834, 6651, 2488, 1762, 1004, 609, 1344, 593, 741, 1072, 2924, 1107, 1018, 789, 616, 543, 875, 547, 3635, 873, 563, 763, 1445, 568, 593, 1620, 5483, 9844, 543, 10283, 2047, 538, 3664, 3823, 513, 1762, 1268, 779, 1072, 1416, 543, 2564, 2126, 269, 11153, 5753, 779, 22707, 5081, 7724, 607, 1134, 607, 744, 3722, 3008, 941, 3238, 538, 5717, 593, 519, 1646, 540, 519, 3391, 269, 0, 876, 281, 876, 1315, 476, 876, 281, 876, 454, 30262, 531, 1062, 14169, 543, 17550, 454, 271, 1315, 476, 3451, 2347, 454, 763, 960, 4243, 525, 540, 519, 17256, 1062, 616, 519, 14401, 799, 616, 519, 18618, 267, 21167, 11057, 8219, 538, 707, 1560, 602, 2312, 5739, 6878, 676, 19003, 707, 1973, 269, 1358, 2461, 899, 513, 1216, 22729, 2030, 602, 2337, 2973, 519, 6704, 1216, 585, 513, 2749, 269, 1358, 849, 10038, 1973, 9063, 267, 4320, 267, 2604, 267, 23015, 565, 1275, 607, 1134, 607, 3132, 10399, 563, 763, 14401, 616, 4092, 1063, 519, 570, 1321, 543, 700, 274, 31175, 267, 543, 789, 2461, 13148, 6870, 676, 28937, 476, 1556, 543, 476, 1321, 734, 6518, 616, 519, 13735, 28937, 269, 634, 14401, 616, 10199, 519, 2450, 540, 513, 31329, 543, 616, 27164, 704, 32050, 531, 267, 2495, 789, 1694, 3297, 519, 829, 32050, 531, 9245, 7258, 519, 9451, 13887, 6241, 269, 634, 1318, 8459, 568, 14593, 1524, 676, 519, 6797, 865, 621, 18795, 5594, 2539, 982, 519, 2451, 8459, 563, 1103, 519, 1647, 540, 1142, 8459, 972, 568, 606, 25034, 566, 602, 3029, 519, 17669, 554, 559, 636, 269, 901, 568, 519, 7127, 543, 14827, 1448, 585, 519, 23443, 614, 267, 17669, 16050, 543, 17669, 18916, 267, 9726, 18267, 267, 543, 13285, 2469, 883, 543, 4947, 856, 540, 519, 8459, 563, 763, 8459, 568, 11303, 676, 1614, 6106, 540, 5160, 269, 2201, 519, 3544, 568, 519, 17669, 3673, 807, 799, 568, 513, 6094, 4494, 540, 10053, 24561, 5160, 602, 12979, 832, 519, 8459, 547, 922, 10450, 269, 634, 1647, 4494, 267, 610, 519, 28539, 846, 23555, 267, 568, 513, 9761, 4494, 602, 14014, 519, 8459, 689, 8194, 269, 1656, 519, 27811, 4494, 267, 1572, 519, 17669, 23555, 267, 568, 513, 5347, 267, 12001, 6656, 540, 10053, 24561, 5160, 602, 3947, 519, 8459, 922, 10058, 3337, 563, 2252, 596, 1491, 513, 3444, 16687, 540, 519, 8459, 267, 972, 616, 1079, 1292, 2694, 269, 634, 6418, 6712, 568, 519, 17669, 1199, 1638, 320, 543, 519, 3544, 26079, 568, 519, 17669, 16794, 269, 634, 1199, 1638, 320, 568, 1500, 909, 540, 476, 1015, 547, 476, 1240, 17669, 26829, 609, 519, 3490, 540, 519, 26829, 6849, 519, 17669, 16794, 543, 519, 4388, 540, 519, 26829, 267, 1572, 17669, 13099, 8759, 29932, 562, 31454, 267, 15738, 2509, 519, 4099, 540, 519, 8459, 269, 634, 17669, 13099, 8759, 1788, 883, 5634, 1608, 344, 806, 799, 6443, 1927, 547, 1106, 2101, 1608, 344, 806, 799, 1187, 6773, 883, 519, 17669, 10652, 6665, 269, 7984, 710, 25173, 538, 519, 17669, 10652, 6665, 543, 1287, 9843, 856, 540, 519, 8459, 998, 519, 23443, 614, 563, 763, 17669, 1062, 267, 849, 1634, 607, 519, 17256, 1062, 267, 568, 1500, 909, 540, 519, 14401, 267, 23443, 1562, 267, 15485, 267, 543, 23443, 628, 571, 269, 634, 14401, 267, 513, 6292, 540, 8219, 4092, 538, 519, 1394, 540, 519, 14159, 13570, 267, 6882, 3653, 2472, 689, 519, 1973, 538, 519, 1106, 540, 10729, 269, 634, 10729, 10596, 1524, 998, 519, 23443, 1562, 267, 799, 616, 16757, 13740, 8220, 519, 14401, 547, 519, 15485, 269, 634, 15485, 568, 513, 16757, 5485, 602, 8637, 10729, 2394, 621, 4679, 519, 2604, 593, 922, 3774, 543, 12153, 519, 544, 1112, 584, 819, 16846, 269, 901, 2636, 519, 10729, 547, 2095, 998, 519, 23443, 628, 571, 543, 856, 540, 519, 1560, 563, 15648, 9736, 476, 1708, 274, 29021, 267, 922, 6132, 839, 832, 267, 543, 20334, 269, 2353, 2924, 616, 11603, 267, 1519, 1346, 585, 1257, 543, 1239, 5599, 267, 3642, 2866, 267, 543, 2147, 4066, 563, 290, 809, 625, 616, 1031, 676, 713, 3135, 563, 4785, 300, 4041, 10378, 568, 513, 4745, 1982, 540, 519, 18966, 540, 3557, 6481, 4425, 1841, 630, 12396, 11586, 264, 543, 519, 2817, 8274, 540, 6481, 1401, 3133, 619, 630, 301, 289, 10933, 1040, 2910, 300, 4041, 311, 268, 24433, 10378, 568, 513, 10805, 22028, 540, 634, 2817, 8274, 540, 27777, 24403, 6481, 1401, 3133, 619, 267, 5549, 269, 12135, 4041, 311, 7304, 301, 10378, 568, 513, 10805, 22028, 540, 519, 2817, 7027, 540, 3557, 4425, 1841, 540, 16711, 267, 5549, 269, 4530, 4408, 543, 824, 30931, 616, 519, 3959, 540, 519, 9757, 22028, 25963, 269, 7183, 540, 519, 22028, 25963, 616, 31045, 676, 6862, 28337, 609, 744, 8243, 2670, 610, 713, 3896, 269, 0, 290, 716, 19687, 568, 513, 1920, 16030, 827, 476, 14096, 25281, 609, 930, 476, 11260, 271, 1634, 2249, 540, 2371, 602, 1419, 616, 1336, 538, 5393, 3819, 5054, 269, 4107, 616, 13151, 28684, 1510, 3762, 2348, 3079, 838, 1149, 602, 948, 2061, 1216, 2530, 269, 1358, 616, 6140, 5065, 547, 519, 17113, 269, 661, 577, 3626, 576, 516, 639, 543, 6755, 1470, 576, 516, 639, 616, 2249, 609, 16321, 748, 5072, 1336, 593, 519, 530, 5942, 563, 5472, 4123, 609, 595, 716, 19687, 568, 1641, 547, 595, 3951, 2464, 6042, 269, 0, 4462, 792, 2251, 2048, 4537, 328, 4258, 978, 685, 281, 634, 9147, 7201, 4248, 4975, 2986, 3624, 454, 2467, 568, 513, 5728, 6456, 9944, 519, 1350, 626, 2287, 2627, 540, 1627, 328, 7701, 334, 8235, 538, 3624, 779, 30811, 2098, 515, 10202, 836, 19435, 1765, 10472, 17576, 568, 9039, 824, 982, 519, 12357, 543, 3504, 2749, 267, 1744, 13682, 932, 2946, 978, 563, 4537, 13682, 932, 2946, 978, 1031, 547, 581, 513, 14762, 13398, 540, 10340, 269, 1717, 267, 922, 12556, 3576, 606, 6397, 2490, 538, 476, 4198, 280, 267, 950, 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 ]
[ 780, 3080, 13566, 12784, 267, 1247, 25786, 2835, 593, 519, 21684, 267, 20182, 8068, 1762, 15207, 267, 513, 2834, 21233, 547, 1010, 4558, 269, 590, 1506, 569, 15720, 3297, 588, 2931, 540, 1453, 781, 3332, 267, 15207, 6743, 4503, 269, 2060, 9543, 3268, 267, 9319, 1022, 23589, 5322, 602, 1522, 29057, 2476, 519, 4626, 573, 7911, 267, 20182, 14059, 1864, 780, 257, 15916, 972, 267, 15207, 2437, 30870, 20182, 27145, 267, 9054, 9934, 1524, 865, 646, 1223, 2743, 4064, 609, 519, 1126, 269, 834, 19185, 585, 1945, 1880, 2221, 12482, 20755, 3240, 11688, 18469, 1354, 6368, 22090, 27128, 267, 834, 296, 1616, 547, 1265, 513, 1459, 585, 1250, 3158, 1862, 8117, 594, 1810, 1405, 723, 1454, 2724, 3010, 8450, 532, 713, 4316, 547, 18836, 930, 7326, 827, 22343, 543, 2219, 6888, 267, 20182, 20493, 15260, 1005, 569, 269, 834, 11039, 1287, 267, 1577, 781, 1118, 2386, 707, 10516, 2501, 2786, 689, 519, 2295, 269, 1215, 827, 649, 1413, 585, 1945, 6209, 2943, 10097, 286, 5457, 267, 3020, 13344, 616, 3283, 602, 1397, 596, 1416, 267, 711, 875, 7199, 789, 616, 3010, 29310, 267, 789, 8268, 1585, 6810, 2394, 23928, 593, 513, 18991, 11609, 3434, 1504, 910, 1412, 8722, 6814, 3245, 15907, 519, 2622, 8339, 4112, 8724, 1114, 4529, 998, 1426, 1131, 15983, 3142, 7772, 547, 15207, 781, 3993, 267, 4171, 11477, 1983, 21401, 1152, 607, 2484, 607, 838, 698, 515, 26152, 536, 860, 333, 3150, 780, 19602, 267, 2066, 4884, 267, 27615, 742, 2025, 6004, 269, 14355, 1350, 1563, 693, 1010, 8900, 2835, 3559, 1407, 269, 2997, 573, 5467, 1498, 646, 729, 267, 9683, 20182, 781, 4558, 2141, 2451, 1864, 4743, 13943, 1813, 547, 741, 22880, 17804, 14789, 269, 1717, 267, 2115, 1590, 950, 519, 26881, 11479, 267, 543, 14355, 2877, 2542, 1570, 269, 6182, 644, 3101, 569, 267, 646, 4956, 547, 2628, 1776, 3643, 547, 7433, 20129, 744, 12118, 780, 2026, 4397, 267, 19480, 883, 519, 18241, 6300, 4547, 8521, 4606, 540, 16698, 269, 1809, 7487, 20182, 2170, 24963, 609, 3025, 267, 1256, 2576, 607, 1423, 16408, 607, 5128, 267, 21352, 539, 14355, 781, 2182, 16538, 10169, 269, 8528, 257, 294, 582, 4376, 4277, 8119, 6182, 14217, 14355, 267, 3843, 547, 2226, 1010, 8912, 1147, 17349, 855, 17528, 896, 20182, 781, 32689, 12837, 780, 2304, 5662, 2663, 267, 11439, 609, 1896, 1686, 9089, 1688, 335, 17673, 676, 20182, 267, 14355, 1336, 5128, 4687, 2984, 827, 3140, 2621, 936, 7401, 6709, 924, 606, 31096, 585, 519, 556, 5477, 812, 2439, 12988, 693, 519, 21869, 648, 267, 3377, 3262, 827, 20182, 781, 3310, 269, 2859, 1004, 3323, 7928, 532, 519, 1747, 267, 11235, 547, 1995, 513, 20105, 540, 1010, 25273, 269, 27933, 560, 891, 2242, 267, 2705, 267, 3357, 2591, 1932, 269, 7043, 518, 6446, 1132, 3366, 547, 791, 520, 1304, 5561, 267, 3056, 547, 22195, 1851, 873, 269, 22628, 713, 1167, 867, 521, 5417, 2989, 20182, 267, 22348, 1864, 540, 606, 1271, 3992, 281, 4793, 1466, 568, 513, 16495, 2838, 1282, 2053, 540, 1967, 607, 1134, 780, 291, 17827, 547, 11177, 10103, 267, 20182, 8045, 3800, 971, 607, 17849, 3063, 3946, 267, 10962, 1582, 27902, 719, 27669, 267, 543, 12180, 11925, 1141, 29123, 1223, 1451, 827, 14758, 8153, 5339, 1568, 269, 1452, 7341, 5280, 6536, 1620, 1369, 519, 2146, 267, 14304, 7554, 1063, 2043, 780, 1103, 942, 267, 519, 30172, 540, 4655, 535, 12184, 267, 8719, 2899, 1586, 676, 17409, 543, 3838, 8941, 269, 1656, 9624, 621, 782, 11542, 20182, 267, 11014, 519, 581, 13154, 540, 11587, 267, 7326, 267, 543, 7045, 267, 6028, 9434, 24221, 593, 3025, 646, 11402, 780, 27832, 976, 3231, 2740, 912, 272, 264, 9877, 1145, 3790, 4986, 855, 1797, 3388, 563, 273, 264, 6936, 13344, 2097, 689, 519, 2295, 267, 711, 519, 23129, 563, 274, 264, 11773, 6770, 922, 1378, 1305, 540, 2591, 799, 2154, 9639, 543, 5647, 563, 275, 264, 4762, 26555, 666, 581, 17251, 998, 8994, 2463, 543, 1620, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 2108, 2237, 513, 552, 592, 9609, 585, 513, 14070, 1915, 3957, 20182, 945, 729, 1634, 585, 1010, 11587, 267, 7326, 267, 543, 2648, 585, 7045, 269, 14484, 593, 1010, 1272, 267, 10781, 267, 543, 519, 1764, 646, 1185, 593, 1346, 1472, 1864, 563, 299, 611, 625, 543, 22918, 548, 5443, 10484, 2171, 5531, 1934, 2221, 547, 8661, 519, 1272, 540, 513, 7415, 812, 267, 20182, 269, 589, 812, 945, 729, 711, 1175, 513, 1915, 538, 938, 2729, 855, 513, 581, 13154, 540, 11587, 267, 7326, 267, 543, 606, 20032, 540, 7045, 780, 30469, 1853, 781, 3460, 998, 1272, 729, 4986, 2110, 540, 9058, 269, 1261, 5030, 1169, 1554, 607, 952, 621, 941, 513, 1007, 3184, 538, 606, 12473, 9661, 267, 4904, 609, 6397, 23538, 543, 7140, 267, 29217, 543, 8062, 269, 8616, 267, 1100, 2339, 1018, 2591, 646, 5185, 267, 646, 1558, 873, 609, 10100, 543, 513, 6891, 602, 2760, 5951, 1042, 780, 14367, 11587, 729, 19416, 269, 898, 729, 1010, 2706, 12741, 269, 6787, 621, 729, 4543, 513, 24928, 593, 519, 8265, 610, 5356, 513, 6947, 1274, 547, 513, 3659, 538, 991, 267, 20182, 781, 2295, 6785, 1100, 23451, 269, 3571, 8296, 7012, 1405, 16496, 282, 621, 6905, 547, 782, 7068, 2462, 543, 1507, 267, 1480, 610, 6382, 269, 8528, 3719, 20182, 729, 811, 982, 10640, 763, 1650, 1058, 11200, 998, 519, 3197, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 269, 634, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 7982, 538, 476, 1001, 277, 267, 594, 729, 835, 540, 1346, 818, 4823, 5177, 7709, 18793, 267, 18617, 602, 6028, 519, 9167, 729, 519, 1655, 3364, 585, 938, 2197, 269, 594, 3314, 875, 649, 9976, 950, 519, 22275, 31558, 2164, 3357, 856, 1107, 621, 5433, 899, 513, 11802, 585, 519, 1455, 812, 1996, 606, 16918, 602, 1185, 6738, 1932, 6899, 538, 29761, 269, 1809, 3728, 4464, 547, 2221, 267, 543, 1919, 723, 4957, 13497, 585, 721, 5177, 7709, 11825, 780, 5978, 1101, 2101, 19224, 548, 814, 1044, 10747, 6000, 2022, 5174, 516, 343, 527, 269, 1280, 865, 1279, 267, 649, 941, 1634, 607, 1412, 1492, 6601, 343, 527, 5428, 3299, 855, 2899, 938, 3804, 729, 6913, 267, 1082, 9289, 1018, 1909, 649, 1223, 1404, 2469, 4464, 269, 1284, 6836, 11319, 824, 2152, 899, 15852, 27579, 3800, 610, 14957, 585, 31749, 11776, 8060, 267, 855, 9039, 8604, 547, 6529, 3833, 899, 2342, 1705, 269, 898, 781, 9157, 7487, 707, 5428, 6336, 4287, 543, 3483, 780, 10190, 972, 781, 519, 5718, 3390, 269, 9737, 476, 1001, 277, 543, 476, 1001, 280, 267, 649, 4682, 998, 2185, 1114, 3401, 256, 3962, 942, 513, 1007, 3068, 3576, 936, 267, 4126, 1131, 10006, 1152, 547, 20034, 5471, 1586, 950, 789, 8959, 547, 1118, 1022, 1713, 1764, 269, 1703, 781, 4986, 811, 771, 24711, 2287, 982, 8384, 707, 5428, 1166, 10133, 1510, 2178, 5718, 780, 4517, 1287, 972, 781, 519, 6735, 689, 519, 20271, 2510, 269, 7201, 16907, 529, 9652, 267, 789, 4312, 7550, 1454, 540, 938, 20116, 593, 6601, 343, 527, 543, 11776, 269, 901, 3762, 2370, 2230, 585, 5177, 7709, 267, 1818, 621, 2182, 547, 18609, 17037, 1946, 789, 991, 721, 950, 519, 570, 1559, 3100, 547, 581, 3257, 1175, 5386, 780, 15563, 267, 938, 10923, 7687, 616, 4742, 5051, 7805, 269, 3776, 4295, 3490, 3788, 538, 6917, 2127, 543, 4130, 10034, 1141, 16402, 338, 651, 696, 6291, 8255, 2620, 269, 1717, 267, 3843, 547, 4228, 883, 3309, 4872, 1419, 7959, 899, 10977, 25318, 269, 1703, 781, 513, 2312, 31028, 1063, 938, 2757, 2418, 543, 519, 11636, 16431, 4371, 676, 2749, 17743, 619, 780, 3719, 1934, 2501, 519, 6335, 910, 1945, 6397, 1256, 585, 803, 267, 513, 19023, 5177, 7709, 1139, 7163, 269, 21298, 267, 1247, 11504, 513, 2199, 5870, 267, 594, 1558, 513, 1762, 4807, 3957, 589, 22781, 269, 2701, 3838, 1200, 9620, 2713, 538, 513, 6917, 1858, 267, 4743, 796, 21323, 543, 15763, 5103, 13359, 585, 721, 269, 4173, 2833, 13351, 513, 16147, 282, 1352, 7012, 1405, 1018, 594, 16545, 513, 6093, 5177, 7709, 28056, 6743, 899, 269, 8616, 267, 1934, 1352, 729, 267, 16462, 1689, 267, 15691, 585, 6041, 267, 16079, 532, 27742, 2147, 547, 9553, 1394, 950, 594, 8678, 5177, 7709, 780, 2005, 3893, 803, 3206, 827, 938, 5428, 781, 2104, 269, 9320, 3079, 540, 2519, 9003, 593, 6601, 343, 527, 610, 11776, 267, 649, 1058, 1445, 593, 6626, 4798, 540, 10014, 267, 2146, 2679, 267, 543, 5466, 6237, 13103, 269, 2991, 782, 267, 952, 513, 2034, 22831, 19366, 666, 1745, 693, 1753, 1369, 5177, 7709, 267, 15983, 4896, 666, 269, 12344, 713, 568, 519, 21199, 5346, 649, 991, 547, 22919, 10083, 267, 711, 1175, 1369, 519, 5177, 855, 849, 2066, 2342, 269, 5253, 585, 2219, 8197, 256, 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, 616, 519, 2101, 2591, 6849, 5177, 7709, 538, 2474, 540, 4509, 10083, 543, 3310, 267, 1312, 1369, 519, 5177, 543, 593, 519, 9962, 3864, 3942, 888, 272, 269, 14740, 6433, 281, 5177, 7709, 814, 17388, 547, 28196, 710, 922, 3961, 2094, 519, 5177, 20366, 547, 4734, 519, 3864, 5742, 538, 476, 1001, 277, 269, 634, 5428, 729, 7361, 2938, 607, 513, 2582, 268, 22568, 5428, 267, 855, 1631, 8188, 519, 4161, 540, 19788, 17037, 602, 949, 711, 1489, 922, 4507, 3564, 6601, 343, 527, 780, 273, 269, 15557, 12511, 281, 5177, 7709, 4718, 513, 5569, 540, 3401, 2097, 543, 979, 1063, 476, 1001, 277, 543, 476, 1001, 280, 269, 634, 5428, 814, 17388, 547, 1265, 513, 1347, 29487, 543, 19579, 6205, 547, 28487, 1489, 543, 2226, 922, 10083, 780, 274, 269, 14847, 1438, 5251, 281, 634, 20271, 894, 9549, 896, 16907, 529, 9652, 814, 17947, 6601, 343, 527, 543, 3144, 513, 9875, 1899, 593, 11776, 267, 799, 814, 4389, 5177, 7709, 781, 9029, 547, 17037, 945, 1294, 1100, 991, 585, 1776, 4550, 7232, 308, 5428, 780, 275, 269, 17290, 13664, 3914, 281, 5177, 7709, 781, 1489, 568, 7361, 13671, 538, 6917, 2127, 543, 1507, 10034, 267, 609, 3908, 9029, 538, 3677, 4683, 2127, 1141, 4763, 568, 811, 6747, 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, 0, 6092, 5149, 281, 667, 28233, 12833, 5235, 910, 589, 5695, 940, 8672, 538, 2622, 2782, 4083, 692, 7072, 912, 5970, 596, 2479, 4862, 827, 519, 4583, 2680, 1572, 667, 28233, 286, 898, 5949, 1282, 2622, 2782, 4083, 543, 6825, 513, 1713, 7432, 1448, 602, 3366, 547, 519, 14710, 540, 835, 540, 1686, 781, 1034, 25337, 5636, 1622, 267, 29747, 13609, 269, 901, 1576, 786, 1491, 596, 998, 713, 2565, 4090, 538, 942, 950, 20466, 4229, 9250, 513, 7372, 12289, 1996, 13303, 268, 31039, 5333, 269, 7324, 1346, 945, 5129, 2629, 5107, 1282, 713, 1974, 729, 12197, 15794, 531, 8210, 7773, 681, 2174, 601, 267, 849, 1634, 607, 519, 834, 5327, 1068, 16737, 1701, 2913, 781, 4685, 883, 519, 1650, 2439, 4089, 476, 272, 281, 17461, 540, 2622, 2782, 4083, 454, 6524, 649, 2911, 827, 667, 28233, 267, 1577, 781, 1101, 1174, 1018, 3366, 547, 621, 269, 2991, 2622, 2782, 594, 8694, 538, 476, 4489, 279, 267, 1082, 2477, 941, 2451, 31811, 741, 11615, 543, 7239, 269, 1717, 267, 13253, 7283, 1164, 1063, 6082, 267, 2523, 538, 2342, 269, 1635, 519, 3735, 476, 4572, 271, 338, 543, 2038, 1412, 1789, 338, 267, 2797, 6105, 5009, 10728, 28929, 4507, 3459, 11543, 1379, 2066, 2342, 269, 2290, 971, 5428, 267, 3366, 676, 29747, 13609, 267, 3357, 547, 1379, 538, 5125, 538, 476, 4350, 274, 269, 3683, 519, 1985, 1906, 1296, 267, 789, 3323, 3423, 908, 3486, 21308, 267, 2679, 909, 741, 4108, 267, 543, 30939, 15231, 11182, 269, 17652, 2614, 267, 824, 3864, 7060, 2968, 3238, 267, 3056, 547, 519, 12176, 540, 2622, 2782, 4083, 538, 476, 4350, 280, 780, 4089, 476, 273, 281, 5808, 729, 8210, 7773, 681, 2174, 601, 888, 11293, 7773, 681, 2174, 601, 729, 513, 13085, 543, 15197 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1296, 543, 6368, 4362, 519, 10475, 4496, 538, 476, 6245, 271, 538, 24770, 717, 592, 577, 267, 799, 2663, 2968, 519, 4884, 540, 595, 23774, 548, 15880, 12548, 781, 1514, 2090, 4441, 2482, 856, 513, 29685, 540, 519, 1898, 10459, 2556, 547, 11886, 16962, 781, 5075, 269, 634, 4589, 540, 713, 3561, 616, 7855, 538, 9251, 998, 1000, 27097, 3446, 267, 2362, 2069, 20485, 267, 543, 2146, 2818, 269, 634, 1895, 12649, 543, 1500, 26941, 547, 519, 3312, 1305, 540, 1514, 2090, 4441, 267, 1759, 593, 3403, 689, 2789, 2200, 269, 21004, 269, 12548, 11585, 281, 9504, 267, 519, 5131, 15610, 1496, 24610, 267, 9623, 316, 9293, 2147, 547, 2681, 5964, 11585, 26402, 1806, 585, 2681, 5964, 11585, 9293, 602, 1419, 2408, 2282, 2681, 5964, 11585, 681, 1506, 6996, 540, 2681, 5964, 11585, 18023, 539, 1913, 1644, 547, 2681, 5964, 11585, 281, 9612, 585, 2681, 5964, 11585, 593, 5616, 610, 9504, 269, 9612, 6192, 538, 476, 271, 269, 271, 4097, 7643, 269, 5851, 681, 27654, 9218, 11426, 1125, 25873, 563, 21760, 5964, 11585, 6589, 585, 1034, 540, 602, 3100, 532, 27171, 269, 634, 9456, 851, 540, 519, 1533, 5161, 540, 519, 9299, 597, 625, 610, 26377, 1455, 547, 519, 29268, 269, 634, 27743, 15142, 5581, 519, 11585, 689, 5087, 547, 5045, 1524, 519, 4099, 540, 519, 1533, 269, 634, 7262, 2127, 540, 12548, 2874, 5631, 540, 1164, 9390, 610, 21906, 3338, 2127, 269, 1635, 513, 1804, 14345, 1034, 540, 519, 1533, 781, 1079, 18797, 610, 865, 15315, 269, 476, 1220, 5101, 476, 272, 560, 9335, 2558, 514, 21059, 267, 12548, 476, 279, 1015, 11025, 630, 278, 866, 264, 476, 279, 3393, 268, 16348, 13669, 845, 523, 269, 2494, 988, 333, 17844, 1068, 513, 19816, 1665, 14397, 13669, 845, 523, 269, 28822, 2459, 645, 843, 638, 16279, 281, 2520, 2129, 559, 10623, 19709, 476, 1708, 271, 269, 661, 710, 28822, 2459, 1303, 4614, 6255, 267, 530, 3317, 546, 553, 30123, 324, 514, 546, 3420, 694, 15590, 5182, 651, 3768, 31423, 543, 21516, 526, 324, 570, 3971, 10273, 8531, 3768, 905, 25632, 29868, 670, 836, 6577, 644, 566, 546, 3420, 546, 553, 4469, 773, 29967, 613, 342, 7564, 1087, 518, 552, 532, 525, 1013, 527, 1084, 530, 2273, 454, 302, 24810, 3557, 7763, 1729, 540, 12548, 269, 634, 4013, 1533, 2138, 1729, 540, 12548, 568, 715, 559, 20534, 6613, 710, 630, 301, 5847, 1510, 519, 1546, 640, 1040, 2353, 3557, 631, 2714, 657, 269, 634, 5824, 8360, 715, 559, 20534, 6613, 710, 568, 4122, 12261, 607, 23875, 1510, 3038, 2064, 267, 855, 621, 729, 4481, 7150, 538, 513, 2229, 12233, 1867, 602, 519, 3312, 9858, 540, 519, 12548, 1533, 13021, 630, 6518, 2882, 519, 8360, 715, 559, 20534, 6613, 710, 269, 634, 12548, 11585, 568, 1883, 585, 938, 7218, 910, 621, 781, 513, 1747, 649, 4312, 1185, 513, 5634, 4527, 543, 1631, 649, 2811, 2469, 547, 5963, 1118, 513, 1665, 267, 3773, 700, 4157, 23307, 269, 634, 1840, 540, 26999, 9116, 25538, 1676, 23108, 11276, 11629, 338, 21040, 593, 938, 6109, 781, 4566, 585, 2208, 282, 2063, 3923, 267, 649, 849, 9307, 938, 8247, 547, 19467, 609, 20279, 2861, 674, 298, 303, 269, 4495, 602, 32421, 568, 269, 594, 1705, 713, 693, 3778, 12548, 7467, 781, 4266, 3781, 543, 2813, 606, 7317, 12548, 11585, 7688, 593, 519, 1804, 31619, 3960, 334, 4786, 593, 519, 6989, 267, 19796, 6883, 621, 717, 6953, 1301, 3415, 269, 476, 866, 269, 5213, 1405, 581, 12922, 547, 946, 930, 1957, 7851, 543, 7098, 10118, 4882, 520, 22972, 11052, 267, 543, 21044, 7851, 547, 6536, 14374, 543, 513, 5066, 5346, 3917, 712, 19492, 1407, 6643, 1472, 513, 3349, 769, 938, 4207, 2518, 2804, 11585, 267, 1079, 2101, 4229, 540, 16851, 3313, 519, 12122, 540, 2230, 269, 2290, 568, 519, 2518, 2504, 3060, 630, 294, 14149, 264, 22555, 538, 6240, 676, 30427, 14078, 630, 307, 10998, 338, 5148, 519, 824, 568, 519, 29724, 2000, 28515, 626, 2804, 3609, 15748, 676, 6608, 543, 2518, 14540, 971, 607, 22558, 293, 267, 519, 2622, 7813, 543, 2622, 11780, 9257, 634, 12548, 25951, 4346, 4465, 1405, 9156, 519, 6009, 4503, 538, 519, 5046, 268, 866, 6855, 2394, 1985, 1032, 267, 2687, 547, 606, 30168, 693, 519, 2160, 540, 12548, 693, 12548, 25951, 454, 9281, 4629, 910, 28941, 808, 541, 340, 267, 808, 541, 340, 269, 476, 273, 267, 26493, 15055, 5788, 476, 1428, 6158, 827, 713, 5788, 476, 272, 267, 6021, 277, 941, 1934, 269, 2382, 527, 19513, 8549, 632, 3447, 320, 23843, 267, 595, 328, 17845, 333, 25556, 552, 570, 1815, 333, 860, 807, 632, 681, 1180, 20110, 11844, 910, 28941, 808, 541, 589, 6347, 31088, 7896, 267, 5549, 269, 568, 513, 1184, 7674, 2754, 4092, 538, 12548, 269, 1284, 4196, 519, 3003, 1533, 540, 12548, 269, 769, 1840, 547, 1184, 3028, 267, 649, 2709, 513, 3099, 540, 2533, 269, 1284, 723, 1569, 547, 1896, 12240, 2139, 585, 4357, 7634, 267, 3561, 23023, 543, 1004, 1327, 919, 269, 1284, 946, 519, 1034, 909, 3562, 15082, 2409, 547, 4196, 1184, 269, 1284, 723, 6039, 1082, 2462, 2665, 936, 519, 1296, 269, 28762, 1105, 1125, 630, 13270, 311, 264, 28762, 1105, 1125, 630, 13270, 311, 264, 476, 6187, 270, 6860, 270, 1001, 279, 282, 476, 273, 3687, 9790, 15776, 539, 21516, 282, 631, 282, 522, 282, 744, 282, 769, 10523, 655, 3203, 1731, 601, 269, 18103, 6339, 5884, 27100, 324, 552, 10719, 631, 3188, 14837, 27688, 606, 269, 2107, 10249, 519, 2818, 540, 513, 1305, 538, 513, 15796, 269, 16522, 1314, 16522, 1314, 28762, 1105, 1125, 263, 13729, 318, 2750, 16054, 1496, 2073, 18161, 4306, 23378, 1607, 2985, 6799, 519, 10923, 2012, 1239, 585, 4432, 12548, 538, 27816, 267, 607, 13859, 676, 519, 2475, 4108, 4987, 538, 5907, 3898, 267, 1519, 519, 13664, 10974, 543, 1747, 2012, 538, 1585, 3029, 267, 32204, 267, 19005, 543, 5065, 3197, 267, 543, 922, 4087, 538, 922, 9757, 2197, 781, 11889, 6498, 0, 763, 7392, 594, 320, 31975, 320, 20276, 656, 630, 17928, 305, 264, 717, 30306, 269, 278, 268, 271, 269, 272, 29084, 827, 476, 866, 267, 7785, 1769, 26188, 2476, 538, 519, 26424, 540, 2480, 23705, 3780, 563, 1607, 12432, 3239, 2982, 19301, 305, 717, 30306, 269, 278, 268, 271, 269, 272, 998, 519, 4064, 540, 1114, 24985, 281, 2473, 17530, 689, 932, 18588, 630, 19990, 264, 723, 1044, 5916, 609, 18342, 1239, 689, 8331, 779, 1975, 12688, 6611, 23571, 630, 344, 3641, 543, 3039, 264, 607, 1134, 607, 5925, 1239, 689, 519, 22085, 293, 779, 15020, 14066, 26275, 543, 595, 10485, 4629, 779, 5245, 23571, 3281, 716, 26275, 630, 1042, 1040, 12005, 5491, 281, 8331, 1315, 595, 311, 290, 1315, 19519, 2160, 540, 3163, 1315, 30738, 2313, 9874, 1696, 620, 269, 1315, 808, 12195, 1315, 1975, 12688, 1315, 595, 10485, 4629, 1315, 11083, 22143, 1315, 11083, 7563, 563, 13911, 594, 320, 31975, 2801, 616, 2219, 547, 1267, 689, 22243, 3000, 13086, 30762, 540, 3043, 546, 8705, 12028, 538, 513, 9352, 1062, 563, 7712, 519, 8445, 24788, 13920, 538, 519, 9804, 851, 540, 519, 8552, 568, 3592, 7833, 1851, 891, 30762, 267, 789, 666, 581, 8246, 607, 3845, 10832, 538, 14421, 1108, 563, 13911, 594, 320, 31975, 2801, 849, 1404, 606, 1271, 1909, 607, 2101, 14273, 540, 4401, 267, 7700, 547, 519, 3114, 23918, 540, 938, 27305, 10158, 30982, 563, 8601, 713, 2956, 267, 2705, 267, 1082, 4909, 3344, 540, 891, 2621, 2611, 21792, 563, 311, 11920, 7422, 540, 31975, 320, 24790, 2709, 513, 2189, 1259, 547, 2232, 519, 4143, 1930, 2055, 267, 607, 789, 1450, 721, 547, 2268, 519, 5888, 543, 3892, 540, 5230, 2609, 602, 941, 24704, 1282, 519, 24974, 16411, 563, 14071, 7447, 602, 19301, 305, 717, 30306, 269, 278, 268, 271, 269, 272, 568, 827, 476, 274, 267, 1822, 547, 476, 277, 267, 1822, 1296, 2025, 538, 3047, 779, 942, 7406, 2223, 1767, 19519, 2160, 540, 3163, 31485, 918, 582, 16619, 30738, 2313, 9874, 543, 9164, 563, 2108, 4002, 519, 824, 1688, 267, 519, 1034, 1134, 8153, 543, 4922, 268, 10849, 5703, 7392, 594, 320, 24790, 267, 1519, 3223, 16980, 267, 14977, 11155, 267, 543, 19301, 476, 1911, 277, 267, 723, 782, 1011, 10757, 1369, 519, 2063, 26992, 610, 865, 607, 2938, 689, 3047, 3034, 2108, 11997, 267, 519, 2620, 1413, 693, 717, 30306, 269, 278, 268, 271, 269, 272, 609, 8331, 779, 932, 18588, 2473, 11920, 25076, 3947, 721, 513, 6885, 883, 606, 1271, 5123, 2663, 538, 519, 4720, 540, 513, 7392, 594, 320, 31975, 320, 20276, 656, 3034, 1607, 1614, 12258, 528, 932, 18588, 3239, 540, 19301, 305, 717, 30306, 269, 278, 268, 271, 269, 272, 2982, 602, 519, 16437, 652, 4401, 568, 4092, 547, 519, 1318, 540, 519, 31975, 320, 20276, 656, 779, 12166, 4099, 282, 713, 12623, 11496, 568, 2693, 3361, 676, 3154, 4478, 519, 20276, 656, 1373, 16437, 518, 593, 519, 1318, 982, 621, 568, 593, 519, 2451, 269, 12005, 5491, 281, 8331, 1315, 595, 311, 290, 1315, 19519, 2160, 540, 3163, 1315, 30738, 2313, 9874, 1696, 620, 563, 311, 17530, 538, 31975, 320, 24790, 616, 3812, 676, 1312, 519, 9750, 19046, 5951, 543, 519, 24974, 11935, 563, 2026, 519, 11935, 7575, 21286, 689, 519, 3355, 16411, 267, 621, 13341, 4187, 689, 4478, 3154, 543, 25815, 1524, 267, 2870, 513, 9258, 8710, 5951, 602, 12599, 1394, 4724, 519, 4099, 540, 519, 16411, 563, 1607, 1184, 568, 26922, 547, 513, 6808, 25888, 593, 513, 19814, 267, 1141, 607, 2053, 10596, 606, 2810, 1297, 540, 6517, 786, 3247, 610, 3500, 1524, 3297, 519, 8009, 267, 4929, 519, 6808, 25888, 547, 2951, 23651, 563, 763, 9258, 8710, 646, 1846, 519, 11935, 547, 6634, 540, 5232, 267, 4929, 621, 547, 16657, 538, 2473, 17530, 563, 13911, 594, 320, 24790, 899, 3223, 16980, 267, 14977, 11155, 543, 19301, 476, 1911, 277, 616, 1932, 1762, 585, 519, 9258, 8710, 547, 723, 942, 547, 23710, 4601, 2951, 23651, 547, 3002, 782, 540, 519, 11935, 538, 519, 20276, 656, 779, 4099, 563, 4913, 267, 519, 5266, 4359, 2085, 540, 19301, 305, 717, 30306, 269, 278, 268, 271, 269, 272, 1797, 602, 519, 9258, 8710, 814, 6410, 1394, 998, 519, 3003, 11935, 2361, 563, 10527, 932, 18588, 3239, 540, 19301, 305, 717, 30306, 269, 278, 268, 271, 269, 272, 2982, 602, 519, 3148, 609, 519, 5207, 5860, 540, 4401, 568, 11303, 676, 9095, 6438, 3889, 5627, 13339, 2223, 519, 19936, 1767, 563, 2108, 13436, 9095, 6438, 3889, 616, 1336, 585, 16247, 267, 2415, 517, 267, 543, 7513, 3034, 10527, 932, 18588, 1239, 849, 2303, 602, 519, 3148, 609, 519, 5207, 5860, 4401, 814, 1044, 12699, 676, 519, 9258, 8710, 811, 5063, 982, 519, 2609, 538, 519, 9095, 6438, 3889, 267, 31552, 602, 621, 568, 4092, 2282, 519, 3020, 4099, 540, 519, 24974, 16411, 3034, 2108, 4322, 2164, 1489, 519, 11236, 540, 3631, 585, 7392, 594, 320, 31975, 320, 30762, 267, 799, 1397, 602, 18219, 2609, 616, 3812, 538, 519, 9703, 540, 606, 1011, 5317, 3043, 21221, 3034, 763, 2319, 779, 1957, 729, 3370, 538, 519, 8330, 5268, 9713, 4750, 563, 298, 582, 16619, 30738, 2313, 9874, 1696, 620, 269, 476, 1708, 271, 269, 27100, 31854, 2305, 538, 519, 5664, 27070, 19301, 594, 320, 3816, 333, 656, 717, 30306, 269, 278, 268, 271, 269, 272, 269, 7442, 297, 476, 8660, 278, 267, 476, 7830, 282, 8222, 281, 476, 1015, 269, 29575, 278, 270, 14631, 279, 268, 31973, 278, 270, 629, 11463, 320, 277, 0, 2304, 8598, 267, 590, 1157, 548, 8426, 454, 288, 2068, 6353, 676, 5312, 8280, 32673, 17350, 267, 8398, 21288, 11213, 16839, 267, 543, 2619, 11043, 9525, 540, 1082, 8219, 269, 898, 568, 519, 4791, 4082, 540, 4630, 27340, 13920, 585, 24562, 590, 563, 288, 5786, 538, 519, 1297, 540, 21883, 18317, 312, 8025, 4629, 290, 312, 307, 2464, 610, 538, 519, 7274, 540, 670, 4932, 8104, 299, 15477, 2562, 563, 13070, 757, 1031, 547, 2061, 610, 9258, 519, 27690, 2621, 3056, 547, 7210, 1782, 540, 22980, 628, 24945, 5052, 538, 31724, 1591, 2175, 563, 295, 655, 18331, 14662, 8376, 454, 763, 2101, 5057, 540, 24562, 538, 519, 21565, 269, 901, 670, 4932, 8104, 299, 15477, 2562, 814, 1079, 13672, 543, 1079, 18325, 1135, 4286, 32644, 1016, 28493, 538, 6476, 547, 3339, 2937, 24562, 267, 799, 814, 1079, 13672, 543, 1079, 12498, 1135, 4286, 32644, 1016, 28493, 269, 674, 13926, 24562, 9830, 666, 581, 11506, 630, 17141, 1657, 476, 271, 269, 276, 8472, 538, 1453, 543, 4079, 4299, 676, 19845, 20084, 4932 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1315, 12668, 1299, 4762, 26555, 1315, 2622, 2782, 4083, 1315, 4937, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269, 0, 4985, 1384, 21609, 3125, 8194, 568, 513, 24245, 3390, 7133, 9118, 2043, 5001, 269, 898, 4016, 547, 2833, 540, 2168, 267, 3929, 267, 610, 4638, 6057, 282, 10714, 282, 6469, 5208, 282, 610, 824, 5732, 5739, 3871, 602, 2049, 1282, 24233, 1296, 269, 634, 1764, 540, 971, 2833, 666, 26871, 828, 622, 2429, 606, 1367, 781, 1272, 267, 12018, 741, 2790, 1072, 267, 14375, 3347, 267, 1582, 12656, 4003, 267, 543, 1256, 2168, 8171, 269, 1306, 6848, 4656, 1472, 713, 1888, 9428, 267, 865, 1281, 519, 991, 547, 16491, 2104, 4648, 609, 1702, 827, 922, 10848, 269, 769, 713, 3184, 267, 649, 786, 5490, 883, 1585, 3344, 540, 6689, 8194, 267, 1519, 922, 8847, 267, 3123, 267, 4539, 267, 4879, 2409, 267, 543, 6304, 2994, 780, 4089, 476, 272, 281, 4197, 19974, 23247, 692, 2414, 2253, 938, 3408, 540, 6689, 8194, 267, 1577, 721, 1101, 3715, 2312, 8847, 543, 21441, 1063, 1114, 2010, 540, 28915, 13015, 269, 4340, 547, 519, 2622, 2657, 9257, 630, 21766, 1070, 1126, 28915, 13015, 2882, 782, 3029, 540, 2168, 543, 5924, 3929, 2192, 2389, 13015, 267, 4638, 6057, 267, 10714, 267, 18621, 550, 2126, 267, 5010, 610, 824, 14226, 4611, 538, 4890, 610, 1761, 2800, 547, 519, 1126, 781, 1072, 267, 6668, 267, 1646, 267, 610, 15683, 269, 1635, 9301, 891, 3309, 19183, 267, 649, 1305, 519, 5748, 585, 811, 13857, 5717, 4478, 6604, 267, 8446, 267, 543, 3210, 3646, 780, 4089, 476, 273, 281, 15486, 543, 11485, 11790, 692, 763, 1696, 5735, 540, 6689, 8194, 568, 15491, 267, 5473, 1312, 1367, 543, 2825, 2188, 269, 2201, 606, 1367, 1377, 267, 19753, 19397, 4162, 1107, 971, 607, 29525, 267, 13613, 6163, 267, 5042, 5759, 267, 543, 4719, 17539, 1107, 949, 2333, 13438, 547, 14488, 269, 11531, 267, 13865, 2609, 7854, 6626, 1514, 21876, 899, 6710, 267, 13864, 267, 8027, 16132, 267, 2146, 5208, 267, 543, 2686, 8155, 27479, 532, 10792, 15970, 2853, 269, 10289, 891, 21465, 11444, 2337, 1217, 3119, 6604, 7341, 6322, 693, 4227, 1981, 4598, 1247, 5807, 6043, 1851, 693, 16151, 5095, 780, 4089, 476, 274, 281, 31664, 21661, 25833, 853, 1137, 692, 9199, 9964, 2833, 1282, 6689, 666, 1266, 2658, 2110, 3856, 543, 1279, 18835, 29854, 2066, 2789, 11890, 540, 8647, 269, 7216, 4598, 547, 2566, 814, 1044, 5532, 547, 12012, 2634, 6189, 267, 799, 666, 10556, 7553, 7939, 267, 1565, 267, 3965, 267, 543, 3007, 7207, 269, 3958, 267, 1453, 945, 1995, 8194, 1419, 8858, 32277, 28922, 5615, 630, 324, 3052, 1421, 6219, 946, 267, 1582, 3620, 1301, 264, 543, 6560, 609, 9591, 2635, 14375, 4296, 1813, 547, 19847, 3972, 543, 13613, 1949, 269, 3683, 942, 267, 15860, 8194, 666, 10511, 10028, 5312, 2175, 899, 4965, 267, 4160, 4713, 267, 2022, 10177, 9964, 2566, 4524, 630, 303, 15056, 1070, 8473, 1467, 7209, 4524, 630, 289, 11520, 1070, 543, 647, 545, 573, 1275, 269, 4935, 267, 2038, 7020, 543, 6304, 2611, 2629, 3334, 540, 2500, 1416, 11558, 780, 4089, 476, 275, 281, 10495, 6396, 3098, 692, 10112, 31757, 6689, 8194, 3340, 8417, 267, 9488, 1145, 267, 543, 2686, 28671, 2016, 922, 6213, 2470, 543, 9867, 6881, 3270, 269, 7885, 5974, 3335, 2308, 13387, 3800, 630, 324, 3052, 1421, 8194, 2638, 29812, 267, 11295, 11042, 264, 7258, 32097, 1344, 11018, 2553, 630, 324, 3052, 1421, 2564, 5638, 2689, 267, 3791, 18407, 5359, 1040, 5015, 267, 1646, 958, 3617, 1893, 543, 3898, 1590, 581, 8246, 950, 2502, 7820, 7218, 547, 2327, 4977, 8989, 543, 7413, 11605, 269, 16949, 540, 3818, 2987, 845, 656, 1239, 2959, 10597, 10368, 6111, 543, 28279, 3358, 6304, 4058, 3157, 780, 4089, 476, 276, 281, 27800, 11150, 692, 21675, 4485, 585, 5466, 6689, 8194, 12732, 14278, 1670, 267, 2618, 6139, 8427, 267, 543, 28400, 14445, 1049, 23857, 269, 15845, 2861, 11257, 971, 607, 8194, 25700, 5042, 15515, 24173, 3797, 630, 307, 293, 4211, 6630, 1070, 3750, 3350, 964, 31731, 1436, 543, 1065, 549, 22422, 630, 4932, 11403, 1070, 13172, 673, 2623, 3797, 630, 291, 6630, 1070, 543, 12675, 4598, 630, 14154, 264, 723, 7152, 12117, 538, 993, 601, 1640, 908, 8194, 5829, 10835, 26331, 269, 30027, 3585, 267, 32687, 3631, 6220, 11009, 2853, 267, 1148, 3797, 267, 1404, 2861, 7459, 267, 543, 1920, 19721, 4485, 2709, 14911, 2640, 676, 13389, 5817, 5778, 6798, 1670, 6127, 26582, 538, 8194, 4393, 269, 18043, 2013, 2359, 2533, 29103, 1229, 676, 7347, 1489, 5121, 2417, 3895, 6051, 24551, 780, 6962, 1384, 1103, 3932, 267, 6689, 8194, 13054, 513, 1713, 1857, 1072, 6161, 26089, 11826, 6514, 1369, 2362, 2069, 21195, 269, 3414, 2565, 2079, 540, 10747, 2934, 267, 7700, 2188, 267, 3524, 601, 2801, 267, 6268, 16097, 267, 543, 2963, 2861, 5574, 267, 6932, 4648, 10536, 13654, 1702, 1270, 15363, 585, 5483, 2259, 269, 5047, 267, 14237, 6568, 267, 8296, 267, 543, 2686, 21548, 5849, 30506, 547, 15000, 262, 2189, 2115, 8015, 9687, 6848, 8916, 269, 11086, 267, 16779, 14182, 781, 3401, 609, 7347, 1983, 1115, 6087, 873, 547, 22299, 11455, 7067, 15322, 16135, 538, 9698, 267, 2463, 267, 543, 5126, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 21609, 3125, 23247, 4530, 454, 12648, 519, 6689, 8194, 1449, 547, 1294, 952, 596, 723, 4191, 543, 2589, 540, 6689, 8194, 538, 15296, 269, 5269, 2386, 547, 2626, 519, 2055, 8499, 543, 25473, 269, 2659, 6114, 1058, 2992, 875, 596, 1745, 1631, 267, 711, 875, 596, 8910, 899, 547, 1745, 269, 5457, 267, 621, 568, 2760, 1932, 3735, 547, 3343, 948, 563, 8333, 775, 609, 1284, 5426, 5455, 779, 2126, 4099, 3060, 968, 21609, 3125, 23247, 13658, 1848, 1879, 513, 1126, 29167, 610, 13341, 15779, 2621, 950, 789, 616, 1762, 267, 621, 666, 2014, 6689, 8194, 269, 589, 27344, 949, 1831, 16397, 676, 1896, 6689, 2621, 269, 1452, 666, 4755, 538, 3347, 602, 4125, 5208, 267, 14226, 267, 14213, 267, 10714, 267, 610, 6057, 269, 2368, 1455, 8965, 2589, 616, 912, 268, 28246, 610, 2370, 3207, 563, 268, 19768, 540, 14031, 267, 31952, 11661, 563, 268, 16228, 680, 7134, 29338, 543, 14699, 563, 268, 1656, 7965, 23622, 593, 4247, 267, 4081, 960, 267, 543, 6643, 563, 28415, 519, 1449, 585, 6689, 8194, 543, 1451, 827, 707, 1808, 3510, 269, 901, 5618, 6689, 8194, 1449, 585, 4079, 666, 948, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 21609, 3125, 23247, 257, 607, 851, 540, 834, 28765, 22723, 13493, 1315, 4317, 11762, 1315, 8447, 1299, 16508, 18816, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 595, 15598, 12998, 20214, 269, 1656, 22853, 568, 513, 1454, 811, 2487, 1296, 267, 829, 1298, 540, 522, 1091, 12696, 1185, 721, 689, 524, 322, 916, 602, 15972, 3002, 12802, 267, 1082, 538, 521, 323, 326, 6388, 269, 5213, 832, 616, 3622, 2919, 6082, 269, 7102, 12998, 540, 3486, 9316, 267, 2477, 4470, 593, 2837, 540, 513, 3152, 6051, 540, 554, 325, 14369, 538, 14404, 2214, 8879, 17645, 22930, 1813, 1576, 540, 269, 2311, 7014, 17203, 2149, 1072, 2640, 543, 22853, 543, 538, 1395, 339, 9418, 7014, 11401, 814, 2943, 8612, 6382, 538, 17542, 540, 513, 1267, 538, 1022, 4245, 602, 269, 2506, 3827, 540, 18435, 12336, 543, 824, 744, 9169, 338, 689, 8492, 1223, 581, 14284, 676, 2870, 3152, 15314, 585, 741, 6051, 543, 9552, 269, 2201, 519, 4493, 540, 2810, 3621, 1702, 827, 519, 2360, 540, 18435, 12336, 543, 10300, 976, 593, 519, 17645, 4494, 267, 519, 3312, 7014, 814, 1044, 29567, 1896, 2053, 269, 634, 1395, 339, 9418, 7014, 543, 782, 8639, 267, 972, 568, 3879, 13577, 540, 269, 3487, 625, 593, 782, 891, 22853, 723, 711, 16783, 609, 1164, 2518, 1857, 3007, 17146, 689, 1022, 2877, 693, 4244, 3435, 585, 782, 5359, 543, 1134, 888, 2304, 1367, 3593, 949, 1820, 856, 513, 7300, 540, 513, 2582, 3184, 540, 513, 1395, 1748, 538, 744, 12569, 585, 2123, 946, 269, 670, 293, 12336, 616, 4922, 1031, 538, 12104, 3130, 543, 2011, 14555, 267, 17371, 25738, 267, 543, 824, 3156, 269, 2859, 14984, 8511, 3154, 5786, 13800, 607, 22853, 4742, 2500, 538, 782, 1395, 339, 9418, 7014, 22853, 267, 782, 22988, 723, 269, 1809, 3731, 2305, 568, 1152, 519, 1101, 1900, 281, 13497, 4227, 670, 15598, 5434, 786, 849, 2154, 7453, 11268, 547, 3914, 943, 1078, 1144, 9072, 269, 3026, 10354, 585, 2799, 20440, 952, 596, 786, 6494, 269, 21303, 17645, 8559, 4646, 269, 901, 20427, 2759, 519, 4616, 540, 18435, 12336, 538, 519, 2475, 585, 519, 1101, 942, 543, 729, 835, 540, 519, 1101, 3268, 547, 21352, 519, 2872, 2990, 2509, 595, 15598, 7939, 2663, 593, 269, 1452, 6132, 1878, 4163, 513, 2783, 602, 519, 12689, 324, 1590, 1152, 1104, 610, 13143, 519, 6219, 689, 513, 2197, 602, 814, 32738, 519, 27292, 16257, 543, 519, 4143, 7766, 2549, 754, 906, 269, 3624, 267, 3127, 267, 543, 824, 2101, 11615, 2907, 3001, 4464, 593, 6469, 2962, 855, 799, 723, 2943, 547, 3731, 1518, 269, 1215, 1281, 711, 782, 6105, 689, 1395, 339, 9418, 7014, 5943, 15007, 267, 814, 513, 2663, 269, 898, 1360, 2241, 267, 4758, 873, 538, 620, 5523, 334, 610, 6456, 950, 19696, 713, 11999, 1560, 540, 782, 1395, 339, 9418, 7014, 22853, 269, 774, 8812, 1296, 593, 267, 1018, 568, 519, 27292, 16257, 3257, 547, 2149, 519, 17645, 888, 17359, 3406, 585, 1395, 339, 9418, 7014, 568, 23487, 2685, 3500, 7771, 538, 454, 763, 19908, 543, 5225, 2119, 1586, 2663, 4266, 267, 20424, 807, 1153, 540, 782, 1395, 339, 9418, 7014, 22853, 269, 1809, 585, 519, 5301, 540, 713, 1957, 267, 799, 6212, 593, 772, 9654, 267, 891, 7687, 616, 1447, 1271, 269, 7427, 539, 676, 606, 3486, 13186, 538, 2274, 525, 7921, 267, 9098, 267, 799, 9788, 519, 24536, 585, 519, 21499, 13482, 607, 513, 1101, 8908, 11556, 269, 634, 22853, 543, 782, 6114, 723, 2799, 2157, 540, 554, 325, 14369, 607, 2516, 3323, 14053, 513, 8284, 693, 782, 1395, 339, 9418, 7014, 22853, 723, 269, 6744, 532, 585, 519, 2291, 766, 540, 519, 1309, 653, 636, 23739, 269, 634, 3483, 540, 713, 568, 547, 3970, 519, 9295, 540, 670, 293, 12336, 547, 2916, 1689, 269, 1452, 6464, 616, 16516, 585, 5786, 896, 3486, 1876, 281, 519, 918, 580, 8932, 14821, 547, 519, 27292, 16257, 593, 15240, 1734, 602, 3493, 8541, 519, 23520, 821, 23771, 269, 3973, 10324, 12233, 540, 10237, 894, 16550, 267, 2679, 585, 9316, 543, 1865, 875, 1287, 1118, 922, 7598, 741, 9830, 547, 2936, 2825, 543, 3947, 873, 256, 898, 3576, 1896, 824, 8942, 547, 3715, 519, 21303, 9271, 607, 1483, 543, 1713, 267, 2523, 1310, 8331, 1185, 27366, 12805, 1239, 689, 922, 9682, 19827, 269, 623, 2720, 340, 656, 547, 513, 3105, 4341, 5293, 676, 16501, 267, 519, 4797, 946, 540, 3114, 31431, 593, 519, 30849, 1592, 568, 19275, 269, 14130, 3731, 2305, 568, 2693, 2469, 547, 581, 593, 519, 3728, 3950, 547, 519, 10966, 7040, 269, 898, 1522, 711, 3100, 865, 1279, 3516, 602, 519, 6602, 540, 519, 8559, 538, 519, 17645, 4494, 936, 19778, 1185, 721, 538, 513, 535, 1066, 5414, 936, 18435, 12336, 538, 4552, 4944, 7590, 543, 5521, 15969, 563, 763, 7014, 568, 9415, 513, 9758, 4757, 4166, 267, 616, 4245, 547, 3142, 596, 723, 29567, 5216, 824, 269, 5221, 540, 519, 5892, 5941, 12886, 538, 7229, 543, 1110, 8215, 17645, 267, 782, 1239, 3254, 538, 8431, 269, 1323, 10811, 525, 568, 1869, 3478, 6793, 2962, 267, 18322, 1223, 581, 13087, 610, 9552, 936, 17645, 4494, 267, 1648, 4616, 1657, 585, 5697, 269, 2622, 3680, 539, 13502, 616, 1713, 538, 4832, 693, 782, 4609, 4849, 14208, 615, 12312, 333, 321, 5585, 267, 855, 538, 824, 12405, 519, 2164, 616, 811, 6404, 269, 1677, 519, 6708, 15868, 1022, 15668, 568, 16934, 269, 15445, 9730, 267, 519, 4305, 540, 799, 568, 547, 1020, 4808, 543, 27459, 1047, 519, 2238, 540, 519, 8750, 269, 634, 1395, 339, 9418, 7014, 729, 1500, 513, 3109, 2344, 585, 782, 1395, 339, 9418, 7014, 22853, 269, 2991, 873, 267, 3624, 543, 1082, 3384, 2477, 786, 1246, 9290, 1896, 1296, 2663, 269, 7490, 946, 8309, 547, 2232, 1346, 1949, 547, 6895, 538, 9165, 269, 634, 8303, 15716, 3947, 1142, 2197, 682, 1168, 599, 538, 4259, 741, 1378, 12998, 5786, 3853, 543, 2994, 269, 18435, 12336, 689, 3768, 324, 975, 539, 547, 2919, 6082, 267, 519, 2949, 1377, 540, 10220, 814, 1044, 1164, 269, 5518, 11686, 814, 17379, 547, 10505, 519, 14097, 11865, 547, 519, 14130, 585, 519, 2838, 3731, 2305, 8917, 269, 1452, 3908, 1489, 568, 540, 4642, 2518, 8337, 540, 554, 325, 14369, 723, 1044, 29567, 5216, 2053, 602, 3768, 335, 7028, 971, 5434, 286, 9509, 1257, 5784, 9356, 7300, 28085, 267, 7300, 338, 2366, 547, 5616, 20000, 267, 29100, 7901, 543, 28632, 543, 14103, 2407, 1257, 5784, 563, 763, 6105, 547, 3247, 2916, 2257, 8612, 2436, 621, 786, 1831, 513, 1395, 339, 9418, 7014, 267, 543, 7341, 538, 909, 12506, 6718, 1007, 14023, 1218, 454, 763, 6105, 723, 8959, 547, 18113, 2232, 1271, 2055, 602, 3136, 547, 581, 6659, 676, 519, 9823, 338, 269, 670, 293, 11675, 2744, 1489, 1851, 519, 27292, 16257, 1129, 14898, 267, 649, 949, 2943, 1294, 28069, 538, 519, 2104, 1776, 17203, 943, 2084, 856, 519, 946, 540, 670, 293, 11675, 269, 4208, 568, 602, 267, 543, 1018, 568, 1373, 9709, 547, 2232, 621, 286, 7490, 946, 513, 9758, 4757, 9517, 543, 1683, 707, 2012, 269, 670, 325, 14369, 616, 23963, 1759, 593, 269, 13201, 2919, 1158, 2344, 607, 513, 535, 1066, 5414, 936, 3454, 6963, 269, 1411, 3858, 602, 782, 1395, 339, 9418, 7014, 22853, 267, 1413, 693, 2547, 17645, 286, 2060, 824, 2477, 547, 4194, 513, 1305, 2663, 1376, 4227, 5434, 4947, 5756, 269, 10801, 519, 6388, 540, 519, 27292, 16257, 267, 3384, 2477, 723, 7152, 602, 267, 609, 519, 1318, 2186, 540, 6351, 267, 789, 616, 8348, 267, 4712, 543, 2111, 547, 581, 2407, 4891, 538, 2518, 3646, 547, 2149, 519, 1604, 269, 27292, 7014, 729, 1100, 12721, 4690, 540, 11876, 615, 5067, 333, 321, 5585, 267, 17645, 8559, 568, 3486, 543, 3875, 3156, 543, 15244, 540, 513, 4308, 3769, 593, 554, 325, 14369, 1131, 2611, 538, 269, 901, 786, 1267, 538, 2417, 5786, 538, 3790, 585, 2477, 899, 3127, 563, 2026, 513, 7649, 547, 3384, 2477, 267, 649, 1413, 4464, 547, 2324, 609, 873, 547, 10994, 5906, 670, 15598, 946, 269, 1411, 666, 2417, 948, 721, 676, 1818, 513, 21856, 269, 634, 1395, 339, 9418, 7014, 849, 581, 29567, 936, 32647, 14369, 269, 1280, 602, 2601, 267, 811, 7616, 543, 2029, 15314, 941, 3773, 2663, 593, 3842, 519, 5564, 10561, 8750, 267, 547, 1683, 15314, 585, 3384, 2477, 547, 16783, 609, 519, 27292, 16257, 269, 3509, 540, 891, 14078, 3357, 547, 519, 3932, 602, 621, 1131, 581, 811, 19311, 538, 519, 1279, 2165, 547, 2253, 15388, 8925, 547, 670, 293, 12336, 267, 3079, 540, 7996, 585, 519, 17149, 6042, 547, 14736, 538, 269, 2334, 2882, 1565, 689, 938, 2250, 269, 634, 27292, 16257, 849, 2882, 513, 2189, 16369, 11865, 602, 6087, 519, 3487, 625, 547, 519, 16257, 547, 4431, 3533, 547, 1007, 3621, 1344, 543, 3858, 547, 17108, 519, 20214, 2838, 593, 6464, 2907, 4988, 676, 519, 16257, 269, 6314, 2293, 12071, 528, 641, 20094, 267, 1767, 519, 1739, 2221, 3823, 519, 6876, 269, 1635, 19142, 909, 585, 713, 4757, 267, 596, 616, 3858, 532, 547, 3377, 267, 3091, 267, 543, 1344, 689, 2037, 9871, 320, 4215, 27429, 563, 295, 325, 14369, 543, 7598, 741, 811, 25133, 4541, 982, 10751, 543, 723, 2799, 3747, 585, 1395, 339, 9418, 7014, 547, 711, 454, 763, 1395, 339, 9418, 7014, 1459, 1353, 1585, 3344, 540, 782, 12405, 616, 22522, 568, 2178, 2013, 269, 1280, 2447, 2293, 1294, 18334, 20214, 267, 543, 620, 5523, 334, 568, 827, 875, 1454, 811, 19311, 538, 930, 15653, 1022, 942, 267, 972, 568, 547, 1451, 689, 824, 269, 901, 2361, 585, 3384, 2477, 1141, 2360, 593, 269, 2098, 6130, 651, 11099, 513, 20291, 4674, 602, 17337, 519, 2916, 1966, 883, 9922, 666, 5000, 5488, 1565, 269, 4495, 519, 2594, 25216, 3112, 581, 1427, 337, 1882, 269, 9282, 789, 2099, 513, 1507, 6824, 540, 519, 1699, 2698, 540, 782, 8511, 9362, 267, 741, 5434, 616, 15810, 547, 2333, 5176, 8938, 19507, 538, 519, 4947, 5756, 267, 6140, 1813, 547, 2799, 3747, 585, 12104, 3130, 543, 2011, 14555, 267, 3226, 538, 3384, 2477, 269, 670, 23859, 610, 824, 670, 15598, 8925, 949, 723, 27644, 5222, 593, 519, 1604, 610, 1857, 1072, 543, 3106, 269, 19402, 5063, 267, 10526, 540, 17645, 22930, 941, 1360, 23904, 827, 7067, 519, 3003, 17645, 4494, 269, 1411, 723, 519, 10479, 547, 946, 267, 15814, 267, 543, 16196, 891, 538, 1022, 5420, 267, 3177, 519, 2707, 543, 4589, 616, 20295, 563, 347, 13328, 1715, 1475, 303, 10062, 1635, 31964, 2008, 21270, 8681, 1475, 8070, 12392, 20043, 1475, 24342, 5941, 12886, 538, 782, 8198, 347, 2304, 1475, 26660, 8889, 1475, 17239, 3017, 568, 607, 4397, 8198, 16085, 30055, 1475, 293, 12767, 595, 17955, 12601, 3201, 308, 9569, 2008, 18871, 1180, 819, 518, 1475, 289, 1695, 14505, 769, 1375, 5142, 631, 644, 1695, 2008, 19064, 12682, 25403, 1635, 265, 1475, 5141, 5847, 7457, 1559, 2008, 347, 5719, 23336, 528, 6178, 528, 589, 1475, 19741, 634, 15858, 2008, 16085, 10967, 1475, 22117, 11429, 1656, 16065, 2008, 347, 23086, 265, 1475, 20597, 2683, 16711, 5516, 2008, 30106, 6374, 622, 13555, 1475, 307, 6412, 10029, 2008, 347, 4517, 1475, 19868, 514, 1677, 2659, 10055, 2008, 347, 16914, 7951, 566, 1475, 1692, 1284, 4518, 2060, 1411, 2008, 347, 6944, 847, 1475, 8448, 6657, 19791, 2008, 347, 13640, 4897, 661, 848, 618, 1475, 291, 558, 664, 20520, 11261, 2008, 347, 10048, 1771, 1475, 306, 749, 2974, 2659, 27990, 2008, 18871, 320, 265, 1475, 24979, 830, 1656, 15722, 7321, 2008, 347, 301, 537, 557, 879, 1475, 23114, 28864, 14174, 17988, 2008, 347, 13014, 3240, 339, 8692, 1475, 16498, 7070, 1475, 295, 2293, 2986, 20491, 2008, 347, 27270, 12660, 542, 1475, 303, 32123, 1656, 30332, 2008, 347, 2414, 1475, 1432, 3776, 16840, 17166, 2008, 347, 310, 880, 700, 1478, 265, 1475, 5649, 634, 9509, 5623, 1475, 8698, 2353, 4858, 2738, 2008, 347, 24552, 27678, 1475, 28536, 8251, 16811, 2008, 347, 10048, 783, 1475, 18197, 6259, 2506, 29521, 2008, 347, 23945, 1280, 1475, 8698, 8605, 19672, 2008, 347, 18800, 670, 335, 1475, 12606, 6176, 2008, 30106, 333, 6713, 1475, 23742, 614, 1635, 595, 20975, 2008, 347, 301, 697, 7982, 1475, 7343, 569, 1280, 589, 18200, 16372, 2008, 347, 3725, 11734, 1475, 28899, 13477, 28473, 2008, 23277, 663, 2218, 634, 1475, 18704, 1677, 26964, 1475, 28074, 540, 782, 4589, 17551, 1100, 8198, 347, 15239, 16118, 1475, 303, 20094, 17214, 769, 7330, 2008, 30106, 9567, 1787, 1475, 295, 517, 1681, 27851, 1475, 11039, 1145, 15789, 2008, 21270, 2135, 17121, 1475, 11854, 1136, 18918, 906, 2008, 347, 26473, 652, 265, 1475, 290, 1662, 10046, 5004, 2008, 347, 21980, 766, 1475, 8340, 2659, 14134, 5851, 2008, 347, 12709, 265, 1475, 4462, 333 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1931, 815, 1505, 994, 825, 2132, 700, 692, 3698, 568, 514, 5416, 14720, 21726, 2187, 825, 23288, 825, 2132, 6936, 476, 858, 513, 283, 343, 283, 321, 454, 825, 23288, 825, 2132, 513, 283, 1535, 543, 1535, 283, 321, 692, 3698, 3193, 27133, 27331, 267, 2681, 815, 1412, 337, 262, 2187, 825, 23288, 825, 1265, 513, 31062, 771, 329, 2002, 1305, 1210, 519, 5690, 4330, 538, 11829, 2967, 781, 6169, 563, 825, 898, 568, 3160, 547, 519, 18644, 1297, 563, 825, 634, 771, 14765, 1231, 11996, 2408, 538, 2699, 454, 825, 23288, 825, 2473, 17342, 2639, 825, 585, 1775, 538, 2039, 12759, 27331, 15892, 1038, 9206, 25716, 8587, 1948, 30956, 1254, 281, 568, 513, 1535, 328, 538, 519, 1775, 6253, 8884, 888, 1038, 585, 1535, 328, 538, 2473, 912, 2018, 952, 568, 514, 27331, 5157, 6012, 271, 3910, 700, 5157, 6012, 272, 3910, 1535, 328, 2187, 3546, 9206, 815, 6936, 454, 1038, 952, 9206, 2652, 8771, 281, 1948, 6533, 649, 723, 547, 1039, 1945, 547, 2473, 454, 2018, 2473, 6910, 27331, 5157, 6012, 272, 7481, 2018, 700, 5157, 6012, 273, 316, 815, 2681, 454, 825, 2132, 700, 692, 3712, 832, 1626, 815, 18358, 337, 3299, 1412, 326, 3299, 1412, 321, 3299, 1412, 322, 3299, 1412, 344, 3299, 1412, 332, 3299, 1412, 339, 629, 281, 19990, 3299, 1412, 339, 629, 281, 528, 1052, 3299, 1412, 339, 629, 281, 13582, 3299, 1412, 339, 629, 281, 1042, 12887, 339, 629, 281, 20580, 921, 3299, 1412, 339, 629, 281, 321, 3497, 12887, 339, 629, 281, 335, 1074, 3299, 1412, 339, 629, 281, 326, 2001, 3299, 1412, 339, 629, 281, 565, 633, 3299, 1412, 339, 629, 281, 1097, 534, 3299, 1412, 258, 272, 325, 6507, 321, 275, 3299, 1412, 258, 742, 278, 325, 271, 324, 3299, 1412, 258, 273, 8619, 6349, 322, 3299, 1412, 258, 323, 277, 2767, 2764, 3299, 1412, 258, 280, 5379, 278, 321, 323, 3299, 1412, 258, 279, 322, 276, 5038, 321, 3299, 1412, 258, 324, 4391, 278, 322, 273, 3299, 1412, 258, 278, 325, 278, 325, 278, 325, 3299, 1412, 258, 25900, 321, 323, 2420, 3299, 1412, 258, 1704, 13069, 325, 262, 6540, 3698, 32442, 27331, 267, 4778, 284, 3712, 832, 1626, 2187, 825, 23288, 825, 700, 281, 1592, 540, 11996, 563, 825, 4778, 281, 1592, 540, 2681, 4408, 563, 825, 6496, 519, 2458, 2610, 1739, 519, 2034, 6169, 540, 11829, 2967, 563, 825, 23288, 825, 700, 815, 4990, 318, 5793, 10094, 27331, 267, 1412, 3847, 5073, 825, 897, 318, 4310, 815, 476, 271, 1948, 15893, 540, 2681, 1031, 454, 825, 585, 1775, 538, 2039, 12759, 27331, 15892, 1038, 1948, 6533, 649, 2119, 547, 9004, 1169, 2681, 676, 10992, 952, 700, 5157, 316, 568, 12969, 532, 609, 606, 824, 8884, 540, 513, 2016, 2681, 269, 621, 454, 1038, 9206, 3712, 1819, 815, 8771, 1948, 1412, 17647, 649, 23125, 856, 513, 32442, 476, 585, 700, 5157, 316, 609, 2907, 606, 1031, 2681, 286, 7055, 1038, 585, 897, 538, 2039, 263, 3712, 318, 4310, 2187, 2018, 9206, 815, 8771, 1948, 1412, 13757, 713, 2681, 1044, 1031, 538, 606, 12969, 532, 8884, 286, 7055, 2018, 585, 795, 538, 2039, 9217, 2187, 3546, 952, 700, 14728, 6012, 273, 316, 2652, 4778, 314, 3712, 316, 543, 568, 514, 27331, 14728, 6012, 271, 3910, 700, 14728, 6012, 272, 3910, 700, 5157, 6012, 271, 316, 2187, 7386, 9206, 815, 6936, 454, 7386, 2736, 454, 2018, 952, 9206, 2652, 8771, 912, 3546, 1948, 6533, 649, 666, 946, 2681, 547, 2681, 700, 5157, 2639, 3546, 700, 5157, 6012, 273, 316, 815, 4778, 314, 3712, 2639, 3546, 9206, 3712, 1819, 18989, 454, 3546, 2736, 454, 2018, 1948, 952, 9206, 2652, 6936, 649, 2638, 609, 606, 824, 8884, 454, 1038, 952, 9206, 3712, 1819, 2652, 8771, 912, 2018, 897, 318, 4310, 6834, 272, 454, 2018, 700, 5157, 6012, 273, 316, 815, 4778, 314, 3712, 318, 4310, 2639, 825, 2132, 700, 454, 1363, 692, 27030, 1012, 13079, 1081, 454, 7120, 318, 5793, 10094, 32384, 27133, 4433, 677, 318, 5793, 10094, 263, 2102, 4733, 318, 5793, 10094, 3799, 4297, 11723, 7120, 318, 5793, 10094, 263, 3712, 2610, 263, 2102, 4733, 318, 5793, 10094, 263, 1428, 24270, 2140, 8782, 3712, 2610, 1210, 11829, 2967, 32075, 338, 5690, 10807, 0, 5228, 942, 1104, 942, 7531, 5035, 21541, 518, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 267, 22245, 267, 3688, 2187, 1038, 1582, 20508, 815, 2012, 454, 1038, 1582, 6745, 25534, 815, 22245, 454, 1038, 1582, 29096, 815, 3688, 454, 825, 1219, 1039, 318, 14403, 4311, 267, 6221, 2187, 1038, 5727, 11754, 606, 6221, 547, 513, 26519, 781, 11891, 27969, 454, 1038, 952, 6221, 711, 538, 1582, 29096, 912, 2018, 1582, 29096, 6910, 263, 14403, 2020, 825, 1219, 4894, 318, 14403, 4311, 267, 6221, 2187, 1038, 5727, 7230, 913, 606, 6221, 689, 513, 26519, 781, 11891, 27969, 454, 1038, 952, 6221, 538, 1582, 29096, 912, 2018, 1582, 29096, 31927, 263, 14403, 9239, 5035, 21541, 619, 912, 825, 5727, 10048, 720, 26519, 6427, 1559, 543, 556, 2452, 4626, 619, 27969, 454, 825, 1219, 6449, 8181, 9191, 1345, 267, 556, 2452, 22710, 2187, 1038, 1582, 18622, 2452, 22710, 815, 556, 2452, 22710, 454, 1038, 1582, 269, 2903, 17601, 619, 10797, 825, 1219, 4688, 17601, 619, 4311, 2187, 1038, 5727, 24591, 30157, 547, 3758, 27969, 454, 1038, 1820, 3488, 306, 3058, 30157, 1862, 5073, 13872, 1038, 609, 1930, 3488, 30221, 619, 17902, 3299, 1412, 342, 3299, 17683, 8782, 7473, 293, 268, 279, 10807, 607, 535, 912, 2018, 585, 2012, 267, 26519, 538, 1582, 6745, 1778, 619, 29096, 10031, 3546, 535, 22182, 2891, 24001, 282, 24001, 282, 346, 4153, 333, 2668, 8971, 18692, 13376, 26519, 20508, 2676, 13376, 26519, 6745, 25534, 2676, 13376, 834, 282, 2668, 21860, 6025, 1778, 518, 29096, 994, 7386, 12467, 3546, 25589, 825, 1219, 4452, 17601, 619, 4311, 2187, 1038, 5727, 299, 1933, 30157, 689, 3758, 27969, 454, 1038, 1820, 3488, 299, 1933, 532, 30157, 1862, 17210, 1038, 609, 1930, 3488, 30221, 619, 17902, 3299, 1412, 337, 3299, 17683, 8782, 583, 325, 279, 10807, 607, 535, 912, 2018, 30157, 815, 535, 18667, 6050, 10797, 1038, 1582, 6745, 1778, 619, 815, 31460, 1038, 585, 1899, 538, 30157, 912, 2018, 1899, 815, 1899, 25331, 29328, 4590, 2018, 8237, 318, 1467, 815, 1899, 21858, 3488, 282, 5073, 2018, 2012, 815, 8237, 318, 1467, 314, 271, 2639, 2018, 22245, 815, 8237, 318, 1467, 314, 272, 2639, 2018, 3688, 815, 8237, 318, 1467, 314, 273, 281, 2639, 2018, 1582, 6745, 1778, 619, 314, 4067, 316, 815, 21541, 518, 28442, 267, 22245, 267, 3688, 2020, 825, 1219, 1039, 318, 14403, 4311, 267, 26519, 267, 6221, 2187, 1038, 952, 26519, 538, 1582, 6745, 1778, 619, 912, 2018, 1582, 6745, 1778, 619, 314, 30221, 518, 4940, 5417, 318, 14403, 263, 14403, 994, 2018, 1582, 4732, 1511, 17601, 619, 4590, 2018, 1820, 2891, 3849, 4765, 15079, 547, 15079, 262, 338, 11891, 1701, 269, 8971, 263, 14403, 267, 26519, 11723, 825, 1219, 4894, 318, 14403, 4311, 267, 26519, 267, 6221, 2187, 1038, 952, 26519, 538, 1582, 6745, 1778, 619, 912, 2018, 1582, 6745, 1778, 619, 314, 30221, 518, 4940, 24525, 318, 14403, 263, 14403, 994, 2018, 1582, 4732, 1511, 17601, 619, 4590, 2018, 1820, 2891, 7230, 3437, 15079, 689, 15079, 262, 338, 11891, 1701, 269, 8971, 263, 14403, 267, 26519, 11723, 825, 1219, 9041, 3553, 4671, 25534, 4311, 267, 26519, 267, 22245, 2187, 1038, 952, 26519, 538, 1582, 6745, 1778, 619, 912, 2018, 1582, 6745, 1778, 619, 314, 30221, 518, 4940, 339, 25534, 815, 1193, 6025, 25534, 994, 2018, 1582, 4732, 1511, 17601, 619, 4590, 1038, 3116, 912, 2018, 1582, 6745, 1778, 619, 314, 30221, 518, 316, 815, 21541, 518, 6025, 1778, 518, 267, 1193, 6025, 25534, 1070, 1496, 7481, 2018, 1582, 4732, 1511, 17601, 619, 10797, 825, 1219, 9041, 1326, 4671, 25534, 4311, 267, 26519, 2187, 1038, 952, 26519, 538, 1582, 6745, 1778, 619, 912, 2018, 1820, 4311, 6745, 1778, 619, 314, 30221, 518, 4940, 4067, 994, 2018, 1820, 4311, 6745, 1778, 619, 314, 30221, 518, 4940, 339, 25534, 994, 2018, 2132, 703, 4311, 6745, 1778, 619, 314, 30221, 518, 4940, 339, 25534, 994, 1038, 3116, 912, 2018, 1582, 6745, 1778, 619, 314, 30221, 518, 316, 815, 21541, 518, 6025, 1778, 518, 267, 834, 271, 2580, 1496, 7481, 2018, 2132, 476, 271, 692, 825, 1219, 666, 318, 2452, 4311, 267, 26519, 2187, 1038, 22245, 815, 1582, 11519, 1326, 4671, 25534, 6025, 1778, 518, 2020, 1038, 952, 630, 5503, 3890, 910, 22245, 264, 3436, 1582, 18622, 2452, 22710, 912, 2018, 1582, 11519, 3553, 4671, 25534, 6025, 1778, 518, 267, 703, 263, 5503, 3890, 4917, 2018, 2132, 6936, 692, 1038, 3116, 912, 2018, 2132, 8771, 454, 0, 18257, 1477, 320, 1982, 547, 2132, 519, 2609, 602, 616, 7368, 538, 513, 1592, 1477, 18257, 5897, 3698, 2638, 318, 1721, 318, 706, 27289, 9852, 2643, 626, 8029, 825, 796, 1172, 601, 626, 815, 1496, 15947, 825, 5918, 2364, 520, 601, 626, 815, 1496, 15947, 825, 585, 6221, 538, 1250, 4289, 6769, 1038, 952, 711, 6221, 538, 796, 1172, 601, 626, 6769, 2018, 796, 1172, 601, 626, 6910, 263, 14403, 3418, 1038, 3116, 6769, 2018, 5918, 2364, 520, 601, 626, 6910, 263, 14403, 3418, 825, 1820, 630, 706, 2364, 520, 601, 626, 3418, 19930, 1477, 332, 2643, 626, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 273, 267, 274, 267, 275, 15947, 13765, 318, 1721, 318, 706, 27289, 9852, 2643, 626, 264, 0, 18257, 1477, 13892, 547, 6542, 519, 946, 540, 7718, 2209, 23228, 18257, 1477, 5814, 942, 5897, 3698, 22245, 263, 13092, 325, 15635, 8029, 24541, 825, 1219, 12109, 3899, 28949, 16911, 8029, 1038, 1376, 22710, 815, 942, 17085, 1442, 14052, 1038, 1820, 630, 16911, 3418, 1038, 1267, 815, 3312, 325, 15635, 28949, 16911, 3418, 1038, 1820, 630, 5503, 17085, 1442, 3890, 910, 1376, 22710, 3418, 1038, 2132, 1267, 1477, 825, 2132, 12109, 3899, 5897, 287, 339, 25534, 1477, 3698, 1250, 325, 15635, 28399, 825, 585, 1775, 538, 2039, 263, 1911, 1822, 8029, 1038, 1775, 23785, 272, 1477, 825, 1820, 630, 328, 3418, 24653, 604, 6449, 4067, 1029, 2652, 26242, 10852, 1029, 257, 6769, 825, 1820, 630, 3240, 325, 15635, 3418, 825, 1250, 325, 15635, 14052, 672 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5692, 543, 3935, 5314, 267, 543, 519, 269, 5800, 2001, 531, 540, 2686, 4655, 538, 24060, 7699, 31199, 2041, 781, 968, 628, 902, 2887, 6306, 892, 1919, 2887, 6306, 6212, 562, 12342, 587, 509, 338, 2038, 1995, 609, 19525, 267, 689, 1101, 3346, 609, 519, 21099, 547, 7839, 21099, 7245, 968, 24739, 7699, 519, 1079, 1271, 15976, 4767, 676, 16481, 334, 1004, 941, 29770, 320, 3018, 540, 4708, 587, 508, 663, 29770, 1492, 1007, 586, 600, 13037, 269, 0, 305, 755, 923, 630, 514, 4704, 547, 15309, 545, 2609, 2567, 538, 5065, 267, 25836, 1821, 4925, 1454, 540, 519, 1101, 3296, 540, 519, 3209, 547, 10503, 519, 15309, 545, 646, 987, 2390, 799, 1272, 585, 552, 755, 29716, 267, 3552, 324, 557, 267, 543, 865, 1082, 824, 269, 14640, 21524, 1716, 1143, 998, 13513, 538, 519, 2132, 540, 519, 13513, 267, 28114, 25836, 267, 519, 2132, 540, 519, 5065, 267, 519, 15141, 1190, 3197, 616, 552, 755, 29716, 267, 3552, 324, 557, 267, 543, 269, 589, 1592, 540, 782, 519, 3197, 538, 519, 2132, 540, 519, 5065, 519, 519, 2132, 540, 519, 5065, 3197, 4988, 1331, 281, 524, 569, 332, 9493, 984, 2431, 2073, 2007, 326, 800, 642, 3317, 2073, 552, 755, 29716, 642, 6614, 2073, 2481, 517, 3552, 324, 557, 2073, 28114, 514, 9493, 984, 2431, 2073, 544, 3464, 9493, 984, 2431, 2073, 22344, 18085, 548, 2073, 23071, 642, 6614, 2073, 14646, 5500, 20060, 1276, 2073, 1347, 2917, 267, 2199, 31356, 563, 2171, 786, 2328, 513, 2688, 1557, 3732, 593, 519, 2132, 540, 519, 5065, 676, 28114, 25836, 2007, 326, 800, 642, 3317, 1932, 5526, 547, 581, 4535, 856, 540, 519, 544, 28854, 3618, 543, 519, 2012, 3552, 324, 557, 269, 16972, 9089, 971, 607, 28114, 25836, 781, 519, 2132, 540, 519, 5065, 543, 30479, 26863, 839, 262, 1390, 6788, 616, 1806, 540, 5339, 27825, 602, 723, 8471, 4798, 25836, 781, 9661, 14550, 519, 1909, 540, 524, 267, 1382, 1957, 269, 634, 2132, 540, 519, 5065, 1131, 581, 1928, 2685, 2352, 547, 2040, 909, 538, 2489, 2474, 621, 781, 899, 606, 476, 5197, 271, 338, 12853, 22968, 593, 19838, 18484, 646, 987, 519, 1655, 851, 827, 621, 267, 1498, 267, 729, 519, 3982, 3668, 540, 476, 10219, 22240, 5251, 11673, 269, 634, 2132, 540, 519, 5065, 281, 1283, 4557, 10530, 267, 1863, 1353, 10274, 543, 1433, 4967, 1519, 3102, 3184, 2079, 267, 2347, 5758, 2079, 267, 2278, 12092, 1344, 267, 1915, 12632, 267, 6249, 2079, 267, 14165, 2079, 267, 543, 1283, 4557, 10530, 593, 5929, 3332, 563, 763, 2132, 540, 519, 5065, 568, 28114, 25836, 781, 1352, 543, 642, 3317, 1312, 2253, 2324, 593, 3552, 324, 557, 547, 1118, 2386, 646, 8952, 1010, 9153, 547, 28114, 514, 1247, 25836, 705, 663, 976, 269, 634, 2132, 540, 519, 5065, 814, 476, 1789, 267, 4817, 277, 16863, 543, 476, 272, 267, 21857, 8039, 1655, 538, 2470, 607, 5885, 1915, 538, 713, 476, 6942, 279, 3209, 267, 25836, 646, 2314, 3988, 1318, 883, 519, 269, 634, 2132, 540, 519, 5065, 676, 28114, 25836, 1753, 1315, 2007, 326, 800, 642, 3317, 1394, 1985, 1915, 2079, 543, 1199, 323, 1782, 2097, 856, 1034, 1419, 538, 6935, 547, 2481, 517, 3552, 324, 557, 563, 292, 326, 18484, 646, 987, 267, 538, 28114, 25836, 781, 2132, 540, 519, 5065, 267, 31136, 607, 2470, 1281, 538, 713, 19722, 4534, 621, 25457, 12119, 10593, 267, 855, 922, 1898, 2298, 3788, 519, 646, 987, 3217, 593, 519, 1909, 540, 513, 11979, 3310, 593, 519, 3197, 262, 3347, 543, 6381, 267, 11744, 519, 17946, 4474, 2470, 540, 1480, 1995, 998, 922, 1378, 12119, 269, 17776, 540, 519, 5065, 676, 281, 628, 5557, 25836, 1864, 1310, 3552, 324, 557, 781, 2669, 28114, 514, 543, 642, 3317, 8661, 741, 7365, 1934, 593, 19838, 18484, 646, 987, 1310, 1010, 2132, 607, 519, 269, 634, 2132, 540, 519, 5065, 676, 28114, 25836, 1496, 320, 2689, 316, 519, 1412, 1260, 14658, 640, 262, 540, 519, 3197, 3226, 642, 3317, 543, 3552, 324, 557, 519, 5467, 568, 15673, 539, 547, 2543, 3552, 324, 557, 563, 27094, 12730, 1671, 826, 1063, 519, 21616, 552, 755, 29716, 642, 6614, 267, 771, 20880, 2481, 517, 3552, 324, 557, 267, 14255, 633, 28114, 514, 9493, 984, 2431, 267, 10995, 524, 569, 332, 9493, 984, 2431, 267, 4865, 633, 544, 3464, 9493, 984, 2431, 267, 543, 519, 695, 4319, 323, 2007, 326, 800, 642, 3317, 4190, 11673, 540, 519, 646, 987, 1633, 630, 6518, 568, 3294, 513, 3844, 1915, 264, 676, 25836, 945, 11438, 713, 3209, 547, 513, 19621, 543, 10169, 1244, 7675, 2673, 269, 7338, 25836, 713, 3296, 3568, 476, 278, 2767, 1913, 2132, 540, 519, 5065, 3615, 270, 17541, 543, 28114, 514, 26082, 1864, 1310, 3552, 324, 557, 781, 2669, 28114, 514, 543, 642, 3317, 8661, 269, 634, 2132, 540, 519, 5065, 28114, 25836, 607, 596, 1865, 519, 2021, 3197, 267, 5635, 873, 609, 519, 2367, 538, 824, 1913, 267, 2015, 849, 1175, 875, 4277, 543, 269, 16179, 513, 10464, 5299, 540, 519, 2132, 540, 519, 5065, 1433, 676, 28114, 25836, 1412, 9767, 616, 16529, 267, 552, 755, 29716, 1299, 26998, 1662, 1100, 711, 4010, 16529, 267, 29413, 642, 3317, 543, 2481, 517, 563, 2691, 1775, 729, 538, 1164, 1153, 267, 835, 1433, 602, 729, 2838, 2542, 538, 7005, 3332, 729, 28114, 25836, 781, 519, 2132, 540, 519, 5065, 1775, 1336, 519, 1433, 6678, 337, 16226, 543, 519, 1292, 1915, 540, 552, 755, 29716, 642, 6614, 581, 342, 26677, 543, 20605, 267, 513, 1268, 945, 3274, 1223, 711, 1265, 8788, 538, 1272, 1100, 2339, 875, 2182, 1352, 598, 333, 1882, 547, 3035, 621, 269, 7338, 25836, 630, 7277, 271, 910, 476, 4572, 279, 264, 524, 569, 332, 9493, 984, 2431, 7024, 1753, 547, 19838, 18484, 646, 987, 267, 513, 16559, 4015, 540, 8075, 593, 519, 9678, 530, 525, 16303, 4779, 832, 267, 543, 568, 9575, 909, 538, 513, 2648, 20008, 6782, 799, 2882, 281, 1010, 23013, 267, 28114, 514, 9493, 984, 2431, 519, 14692, 344, 7961, 268, 24010, 267, 2481, 517, 3552, 324, 557, 519, 11786, 543, 11509, 552, 755, 29716, 642, 6614, 543, 519, 12357, 23551, 548, 2006, 267, 2007, 326, 800, 642, 3317, 269, 2290, 540, 28114, 25836, 781, 1034, 3532, 1568, 267, 519, 2132, 540, 519, 5065, 7740, 28020, 593, 19838, 18484, 646, 987, 267, 519, 3552, 267, 20807, 539, 530, 525, 16303, 544, 3233, 602, 546, 554, 1876, 5270, 269, 0, 305, 9116, 630, 337, 1777, 264, 6794, 568, 606, 1535, 30499, 4524, 602, 6799, 538, 8951, 543, 568, 3361, 676, 13592, 538, 519, 803, 31983, 273, 5444, 17866, 1535, 6794, 630, 325, 343, 338, 264, 568, 519, 1034, 1455, 2014, 540, 15110, 2790, 29472, 566, 621, 568, 3361, 676, 606, 7636, 4719, 2079, 540, 519, 535, 332, 337, 268, 272, 5444, 538, 513, 1804, 4015, 540, 26144, 2550, 2376, 269, 32746, 850, 1535, 6794, 4214, 17866, 1535, 6794, 568, 519, 1034, 1455, 1106, 540, 15110, 2790, 29472, 566, 2043, 609, 713, 2783, 723, 11095, 8488, 267, 4756, 2157, 540, 538, 1931, 547, 1174, 17866, 1535, 6794, 621, 568, 1271, 547, 1174, 875, 1480, 6090, 543, 15954, 3310, 713, 2783, 269, 17593, 17866, 1535, 6794, 568, 519, 1034, 7928, 2014, 540, 15110, 2790, 29472, 566, 621, 568, 3361, 676, 513, 6422, 15817, 26759, 519, 11636, 7269, 540, 4874, 1337, 630, 322, 1375, 264, 333, 959, 514, 16197, 582, 728, 28197, 4092, 538, 519, 1875, 8193, 3148, 693, 519, 476, 276, 262, 1439, 540, 519, 535, 332, 337, 272, 5444, 693, 1535, 336, 476, 24129, 621, 568, 606, 1535, 5532, 4524, 519, 19183, 616, 269, 32746, 850, 1535, 6794, 630, 332, 574, 476, 29616, 20862, 264, 568, 606, 1535, 30499, 8789, 4524, 609, 4389, 11579, 8896, 4352, 711, 607, 7928, 607, 2899, 5156, 267, 519, 6794, 3788, 513, 5266, 1455, 1106, 540, 15110, 2790, 29472, 566, 519, 6794, 3335, 6799, 538, 9038, 609, 9793, 2790, 29472, 566, 267, 8984, 267, 855, 11029, 11783, 32746, 850, 1535, 6794, 568, 2808, 519, 1034, 1455, 1106, 540, 15110, 7214, 9659, 543, 621, 814, 1044, 6059, 602, 621, 5540, 5111, 476, 272, 538, 476, 6110, 271, 9038, 621, 729, 11130, 602, 7110, 532, 741, 8192, 6981, 1522, 948, 2087, 519, 8801, 11095, 543, 24040, 2360, 540, 519, 2783, 269, 32746, 850, 1535, 6794, 568, 513, 4719, 2783, 602, 3123, 513, 2039, 540, 11095, 2042, 1519, 1565, 9124, 543, 5042, 15717, 2356, 267, 9038, 616, 811, 16094, 4299, 676, 713, 4524, 982, 8951, 4299, 2043, 2356, 723, 16607, 1646, 540, 4633, 543, 1893, 676, 2085, 476, 273, 1034, 9038, 563, 2304, 20522, 1007, 1305, 540, 4255, 2636, 3173, 547, 6385, 5659, 519, 4719, 1350, 3558, 5817, 17866, 1535, 6794, 519, 6794, 568, 835, 540, 519, 1034, 1455, 15110, 3123, 540, 7214, 9659, 543, 10295, 519, 4255, 1491, 1447, 982, 476, 4366, 3108, 543, 1942, 896, 1269, 276, 829, 3732, 267, 6679, 519, 7450, 547, 269, 32746, 618, 2079, 585, 519, 3339, 543, 6566, 16615, 2039, 538, 2550, 7318, 585, 17866, 1535, 6794, 519, 4137, 20186, 2164, 689, 513, 4775, 609, 476, 866, 543, 476, 3066, 524, 1375, 28197, 538, 519, 476, 276, 262, 2588, 337, 540, 519, 535, 332, 337, 272, 5444, 891, 10956, 7306, 616, 1369, 519, 3339, 2039, 269, 901, 2783, 568, 15110, 538, 606, 1535, 30499, 8789, 4806, 513, 2783, 568, 2808, 1535, 30499, 952, 519, 4573, 730, 5444, 602, 3123, 519, 4524, 568, 4092, 593, 519, 1535, 15694, 267, 835, 540, 519, 1079, 3023, 15954, 519, 18472, 568, 8789, 952, 835, 5299, 540, 519, 12012, 5444, 538, 1142, 563, 10870, 31507, 2590, 2175, 543, 4162, 513, 3084, 2385, 5619, 1336, 602, 1034, 2043, 609, 535, 343, 338, 1185, 1044, 8995, 610, 5701, 585, 824, 2175, 602, 2049, 1927, 630, 1723, 31507, 2590, 264, 609, 535, 343, 338, 1496, 1348, 3621, 5758, 4940, 32746, 850, 1535, 6794, 630, 325, 343, 338, 264, 568, 3361, 676, 513, 2407, 15817, 593, 519, 535, 332, 337, 272, 5444, 543, 513, 7766, 3668, 540, 535, 332, 337, 335, 267, 519, 3940, 1587, 540, 535, 332, 337, 272, 535, 332, 337, 335, 4249, 513, 1883, 1909, 546, 32713, 2564, 4099, 519, 2508, 619, 1185, 1100, 1909, 538, 1353, 1374, 267, 1239, 4015, 543, 2079, 267, 3375, 547, 15476, 267, 610, 7041, 540, 519, 12377, 269, 634, 17866, 1535, 6794, 568, 519, 1034, 1455, 2014, 540, 15110, 2790, 29472, 566, 543, 835, 540, 519, 1034, 7928, 4719, 3676, 621, 568, 6059, 547, 2014, 835, 2013, 540, 2790, 29472, 566, 538, 1169, 476, 1911, 271, 547, 476, 5611, 271, 9038, 543, 835, 2013, 540, 3622, 7646, 518, 2790, 27656, 777, 538, 1169, 476, 1220, 271, 547, 476, 7742, 271, 8951, 2073, 621, 729, 269, 634, 17866, 1535, 2790, 29472, 566, 476, 272, 630, 325, 332, 337, 272, 264, 5444, 568, 1336, 593, 519, 1535, 15694, 267, 2495, 17866, 1535, 6794, 568, 606, 1535, 30499, 4524, 543, 568, 5293, 689, 835, 5108, 547, 519, 1985, 593, 519, 1535, 15694, 6093, 2367, 723, 835, 1535, 15694, 543, 835, 586, 15694, 543, 6093, 2021, 723, 1079, 1535, 563, 1432, 568, 621, 281, 17866, 1535, 6794, 568, 513, 4524, 602, 666, 2014, 513, 3126, 540, 3309, 2168, 7592, 621, 568, 519, 1034, 1455, 15110, 1106, 540, 7214, 9659, 3123, 281, 17866, 1535, 6794, 568, 3361, 676, 513, 4719, 588, 13616, 538, 519, 1535, 15694, 1004, 609, 17866, 1535, 6794, 723, 811, 7368, 6090, 267, 1287, 19448, 26327, 1004, 269, 32746, 850, 1535, 6794, 630, 325, 343, 338, 267, 9631, 574, 476, 29616, 20862, 264, 568, 513, 2582, 24932, 324, 4524, 593, 519, 1535, 15694, 543, 568, 519, 1034, 17866, 1535, 6794, 568, 2392, 7631, 2299, 3361, 676, 606, 7269, 540, 513, 959, 514, 16197, 582, 728, 630, 322, 1375, 264, 333, 10956, 22368, 23384, 2417, 4152, 1210, 7013, 1025, 582, 2079, 547, 3313, 2436, 513, 2016, 3732, 269, 32746, 850, 1535, 6794, 568, 513, 4719, 2783, 602, 930, 9002, 27836, 543, 568, 519, 1034, 1455, 2014, 540, 15110, 7214, 9659, 1224, 811, 563, 12507, 4719, 2175, 543, 568, 4867, 519, 1641, 540, 5571, 1382, 27496, 17866, 1535, 6794, 630, 325, 343, 338, 264, 568, 519, 1034, 1455, 1634, 15110, 2014, 540, 1020, 268, 2790, 9659, 5001, 267, 519, 1985, 1034, 1455, 2949, 2014, 1310, 1524, 5348, 268, 546, 4435, 267, 543, 519, 1034, 1455, 2582, 5444, 2014, 540, 10295, 8552, 269, 13081, 267, 17866, 1535, 6794, 5444, 2012, 267, 535, 332, 337, 272, 4791, 9623, 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 ]
[ 11330, 601, 1216, 3327, 730, 610, 711, 888, 8133, 267, 11330, 601, 1216, 568, 3327, 730, 269, 634, 18616, 538, 621, 2097, 689, 519, 3327, 8166, 602, 568, 3773, 547, 519, 1216, 269, 1879, 3327, 8166, 568, 3773, 547, 1216, 610, 5277, 267, 621, 4744, 11510, 543, 3029, 18616, 563, 27793, 566, 568, 1419, 3773, 547, 16098, 17543, 547, 3986, 519, 10444, 1995, 267, 2870, 513, 32688, 14815, 593, 519, 11469, 543, 513, 811, 3078, 5023, 10623, 601, 563, 27793, 566, 769, 3220, 3855, 454, 27793, 566, 568, 513, 1184, 602, 1102, 4926, 3327, 8166, 3154, 883, 15559, 267, 2870, 519, 8984, 18616, 543, 2498, 12883, 12412, 2404, 609, 3327, 730, 16098, 899, 14614, 610, 31394, 1216, 563, 1607, 1184, 568, 6913, 676, 4744, 6295, 3327, 8166, 3154, 896, 2604, 267, 799, 3029, 3327, 545, 3679, 950, 5916, 609, 1216, 269, 634, 3327, 545, 3679, 13604, 13847, 3327, 8166, 3154, 950, 519, 2604, 568, 4389, 267, 4611, 538, 519, 5432, 535, 11170, 563, 4913, 267, 711, 782, 16098, 616, 3327, 730, 267, 607, 3327, 566, 568, 513, 1808, 5663, 1184, 602, 3322, 2046, 584, 1944, 543, 4744, 6295, 3327, 8166, 563, 1432, 568, 11330, 601, 4826, 17214, 2986, 888, 2414, 3313, 2436, 11330, 601, 4826, 568, 3327, 730, 267, 649, 1590, 1101, 8524, 922, 12146, 9043, 563, 303, 1886, 601, 4826, 5820, 4268, 5594, 2066, 1114, 10366, 267, 855, 513, 3044, 19862, 2882, 1216, 267, 3632, 878, 3679, 267, 9770, 15279, 600, 564, 7469, 24043, 630, 1729, 2149, 8137, 1070, 2067, 8137, 267, 11379, 521, 12643, 622, 630, 1729, 2149, 4195, 1145, 1070, 10841, 12643, 545, 3679, 630, 24791, 595, 1070, 7319, 1537, 846, 630, 320, 1875, 23343, 7595, 6653, 10273, 1070, 9770, 3632, 3433, 267, 11379, 3632, 3433, 267, 562, 13519, 514, 29524, 630, 24791, 645, 274, 1070, 7513, 771, 18754, 11581, 14011, 630, 1729, 2149, 8137, 1070, 7513, 20562, 582, 1156, 622, 630, 24791, 645, 276, 1070, 7510, 5090, 2135, 710, 8652, 18608, 728, 630, 24791, 645, 277, 1070, 543, 12192, 661, 21449, 622, 563, 8253, 2406, 15534, 689, 713, 1592, 568, 3327, 8166, 610, 1022, 16315, 540, 3327, 566, 269, 11330, 601, 4826, 1281, 711, 1592, 3327, 566, 607, 606, 12146, 267, 799, 2907, 5267, 602, 621, 568, 2693, 711, 513, 3327, 730, 20892, 563, 763, 19007, 6713, 454, 288, 2629, 1900, 538, 19586, 532, 519, 3327, 566, 9814, 568, 1620, 519, 5663, 1184, 540, 11330, 601, 4826, 269, 11330, 601, 4826, 568, 711, 3812, 1210, 519, 1482, 2409, 607, 3327, 730, 16098, 563, 21156, 267, 621, 5205, 513, 811, 6671, 1184, 28330, 547, 2834, 1869, 1216, 609, 3773, 3986, 906, 563, 763, 5663, 1184, 3335, 3322, 912, 268, 4826, 8830, 2305, 281, 11330, 601, 4826, 6238, 609, 513, 1216, 22729, 1184, 547, 2327, 519, 8851, 540, 23606, 543, 17694, 267, 4611, 538, 2973, 267, 29881, 1216, 563, 268, 18827, 540, 5082, 26299, 5052, 543, 23554, 7530, 281, 2991, 22729, 267, 32690, 630, 7945, 607, 11379, 543, 9770, 264, 543, 8324, 630, 7945, 607, 12192, 595, 543, 645, 8324, 264, 616, 3773, 547, 3986, 519, 9422, 9043, 543, 1683, 3606, 2640, 585, 20697, 563, 268, 4469, 2948, 18827, 281, 7849, 10366, 616, 11368, 547, 1683, 519, 5551, 6492, 1510, 13461, 593, 3327, 566, 585, 10444, 9029, 563, 268, 21690, 10273, 543, 18729, 281, 590, 1075, 1537, 846, 630, 320, 1875, 23343, 7595, 6653, 10273, 264, 543, 3632, 878, 3679, 630, 1721, 25188, 1145, 264, 616, 3773, 547, 3035, 519, 5551, 6492, 9043, 563, 268, 13268, 1645, 281, 634, 3803, 1587, 568, 26437, 538, 14569, 610, 11149, 267, 4712, 585, 3892, 563, 9961, 713, 5663, 1184, 267, 972, 568, 1100, 2446, 540, 3327, 566, 1373, 5189, 269, 634, 9000, 540, 3327, 566, 538, 519, 5663, 1184, 2417, 25040, 519, 2856, 602, 11330, 601, 4826, 568, 711, 3327, 730, 563, 763, 3163, 540, 10281, 1674, 454, 763, 3119, 3483, 540, 11330, 601, 4826, 568, 547, 1683, 20697, 267, 799, 568, 1898, 585, 4509, 15629, 3252, 269, 10281, 1674, 568, 519, 1184, 540, 23478, 519, 1560, 609, 7850, 1216, 547, 2844, 1585, 12214, 3157, 267, 1519, 2837, 7939, 267, 12536, 267, 8770, 6283, 267, 543, 3653, 17594, 563, 763, 32690, 1459, 538, 11330, 601, 4826, 3565, 547, 20697, 676, 21528, 538, 4509, 519, 1560, 779, 23386, 3666, 269, 1452, 32690, 616, 6886, 602, 4163, 5122, 10997, 543, 1404, 513, 2629, 1909, 538, 15725, 5714, 3666, 267, 4887, 27373, 267, 543, 8229, 25372, 563, 306, 18754, 543, 11379, 267, 1079, 1883, 32690, 1336, 538, 11330, 601, 4826, 267, 948, 2226, 1697, 10408, 1599, 543, 5714, 3892, 1369, 519, 1560, 563, 4407, 3327, 730, 16098, 666, 3565, 547, 2949, 5714, 6981, 267, 789, 1810, 1406, 8209, 1683, 8476, 20697, 3379, 547, 1869, 267, 1875, 28003, 730, 16098, 563, 1103, 1249, 267, 3327, 730, 16098, 1522, 1291, 547, 2799, 30614, 1813, 547, 741, 1019, 675, 6776, 1198, 269, 11330, 601, 4826, 267, 1373, 513, 1875, 28003, 730, 20892, 267, 568, 2966, 547, 1683, 20697, 1510, 519, 1761, 1019, 675, 6776, 2360, 2404, 609, 3327, 566, 563, 21430, 606, 769, 11526, 14893, 454, 1103, 519, 7706, 540, 20697, 16098, 267, 1620, 519, 4162, 540, 519, 2472, 649, 8532, 568, 14063, 269, 11330, 601, 4826, 267, 5103, 922, 24253, 6492, 543, 3773, 8324, 543, 32690, 267, 568, 711, 3327, 730, 269, 4706, 19862, 267, 5663, 1184, 267, 543, 12146, 9043, 798, 711, 1331, 3327, 566, 607, 606, 3693, 563, 24400, 519, 1318, 20892, 585, 20697, 5673, 593, 2123, 7375, 543, 2115, 269, 1403, 596, 3343, 513, 1875, 28003, 730, 267, 7657, 1819, 1216, 609, 3773, 2640, 540, 8324, 543, 32690, 267, 11330, 601, 4826, 1223, 581, 606, 5140, 4781, 563, 4002, 519, 824, 1688, 267, 952, 596, 2461, 4481, 3168, 585, 519, 2498, 12883, 12412, 543, 3327, 566, 1995, 267, 596, 1522, 1904, 585, 3327, 730, 16098, 610, 31394, 1216, 563, 1103, 519, 5318, 5251, 540, 16098, 267, 11330, 601, 4826, 6763, 607, 513, 1875, 28003, 730, 4781, 2966, 547, 1683, 20697, 609, 3773, 9422, 2640, 269, 3414, 513, 2143, 3408, 540, 922, 5820, 267, 5663, 1184, 267, 543, 519, 2257, 3297, 3327, 566, 267, 649, 723, 19586, 539, 519, 9814, 4478, 11330, 601, 4826, 779, 3327, 566, 4567, 563, 2005, 779, 513, 12576, 602, 1620, 519, 2472, 649, 8532, 568, 1898, 585, 1818, 5483, 5079, 602, 5447, 609, 938, 7375, 543, 1072, 3853, 563, 3383, 267, 519, 1985, 942, 596, 3914, 585, 513, 11480, 540, 11330, 601, 4826, 267, 596, 666, 798, 865, 609, 519, 6015, 540, 6616, 602, 621, 779, 711, 513, 3327, 730, 20892, 267, 855, 2864, 513, 24253, 3903, 585, 9363, 19872, 269, 0, 275, 18467, 1215, 12143, 6435, 4841, 18550, 476, 1015, 267, 476, 1708, 273, 2340, 504, 488, 476, 272, 3687, 1224, 2340, 504, 488, 14358, 476, 5952, 2340, 504, 488, 744, 8025, 2207, 454, 10743, 723, 547, 798, 1896, 10467, 593, 1896, 5396, 269, 16301, 948, 519, 1053, 547, 917, 827, 1896, 3584, 269, 9122, 593, 519, 2298, 540, 960, 267, 519, 1053, 786, 581, 2016, 9344, 610, 8464, 563, 30475, 281, 12143, 6435 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2860, 269, 898, 2488, 3407, 1344, 585, 2564, 4648, 547, 2708, 519, 3942, 543, 6708, 540, 519, 2068, 269, 5015, 267, 621, 11887, 519, 3617, 2126, 1935, 543, 21697, 519, 3210, 547, 3797, 269, 9435, 18970, 476, 10219, 2157, 666, 948, 3391, 3664, 3823, 6391, 267, 18068, 267, 543, 824, 7459, 563, 273, 269, 1160, 3913, 8251, 25824, 1807, 454, 7563, 10219, 2157, 666, 4196, 607, 606, 13525, 540, 25073, 2860, 269, 14451, 3355, 2157, 540, 713, 3940, 610, 3586, 4679, 1282, 2126, 949, 9305, 547, 513, 25013, 23567, 269, 16424, 11404, 10219, 3466, 936, 942, 666, 948, 3589, 519, 2164, 543, 3391, 5571, 2359, 4566, 563, 6962, 281, 11404, 10219, 2115, 811, 5092, 454, 763, 4791, 2773, 540, 19690, 7634, 814, 3254, 922, 7145, 538, 9870, 17818, 2860, 5464, 269, 4706, 1164, 8417, 267, 8446, 540, 5906, 12490, 267, 543, 1981, 32756, 7207, 1450, 585, 811, 2953, 543, 6098, 7459, 269, 5015, 267, 621, 6087, 3476, 9584, 11996, 543, 4824, 1246, 5346, 1416, 267, 17306, 519, 2949, 5464, 1995, 585, 2021, 269, 2201, 519, 824, 1688, 267, 11404, 10219, 5851, 4152, 4249, 513, 4105, 1909, 538, 519, 4681, 267, 5464, 267, 543, 2126, 540, 25073, 2860, 269, 2755, 621, 568, 711, 606, 4830, 10368, 1907, 267, 621, 2488, 3407, 1344, 585, 2564, 4648, 547, 1265, 519, 4527, 540, 25073, 6084, 2293, 269, 5015, 267, 621, 849, 2337, 547, 6895, 2126, 3210, 543, 3391, 5571, 2359, 269, 1635, 1739, 891, 5464, 3157, 267, 2564, 4600, 666, 3648, 2061, 1978, 11871, 543, 3895, 2021, 779, 1072, 269, 0, 13328, 23715, 520, 27019, 639, 4303, 476, 1708, 274, 281, 7788, 1302, 267, 2622, 23715, 520, 27019, 639, 4303, 568, 4767, 593, 5437, 476, 1015, 269, 898, 568, 606, 11036, 6462, 676, 519, 2817, 23715, 520, 27019, 639, 7690, 543, 13950, 676, 519, 717, 822, 514, 29464, 16685, 4659, 693, 17459, 7054, 341, 710, 269, 23715, 520, 27019, 639, 267, 28484, 2048, 298, 5861, 1421, 685, 568, 606, 3750, 4524, 6353, 676, 1875, 13611, 5945, 547, 519, 31894, 269, 589, 1268, 609, 918, 290, 10953, 513, 1351, 928, 531, 27327, 538, 799, 519, 31894, 5555, 11527, 8460, 543, 555, 1231, 267, 13868, 922, 3312, 5180, 26434, 3337, 269, 634, 7269, 540, 519, 31894, 883, 513, 13409, 6438, 19916, 5012, 547, 1713, 3308, 15717, 269, 901, 1554, 568, 13991, 547, 5009, 1702, 543, 22412, 908, 2200, 3823, 23128, 520, 27019, 639, 563, 763, 3778, 540, 2622, 23715, 520, 27019, 639, 4303, 454, 1103, 476, 14690, 279, 267, 4436, 522, 1529, 626, 645, 3420, 731, 31410, 24577, 4330, 23128, 520, 27019, 639, 2068, 538, 1010, 25719, 12031, 267, 1141, 646, 7620, 11855, 513, 2013, 540, 519, 2783, 269, 634, 2068, 729, 11280, 607, 968, 560, 20942, 5448, 1019, 777, 7315, 636, 892, 538, 1010, 5098, 563, 11990, 3502, 1154, 5069, 267, 513, 3703, 10629, 267, 3177, 513, 5730, 6609, 540, 519, 2068, 538, 476, 6977, 275, 676, 23243, 621, 689, 824, 1351, 928, 531, 3676, 269, 3502, 1154, 5069, 4857, 513, 21318, 540, 2589, 602, 16004, 513, 11696, 28917, 547, 519, 968, 935, 673, 31894, 892, 8320, 602, 646, 1185, 5892, 13006, 269, 634, 2589, 28955, 676, 519, 3461, 16922, 1351, 928, 531, 30034, 543, 606, 24835, 13369, 547, 1683, 3617, 30997, 14485, 585, 741, 5075, 563, 1103, 476, 6977, 280, 267, 3703, 18874, 5261, 14332, 2006, 6913, 519, 8978, 24182, 540, 1373, 519, 1101, 1367, 547, 13209, 23128, 520, 27019, 639, 1210, 606, 29555, 332, 24005, 269, 3958, 267, 14332, 2006, 3177, 519, 2953, 5086, 593, 519, 11604, 538, 1931, 547, 7747, 519, 13409, 11057, 1486, 21310, 766, 540, 519, 3461, 779, 31894, 269, 14332, 2006, 2417, 14365, 1819, 547, 11177, 519, 3461, 779, 5075, 676, 14139, 513, 5386, 13622, 547, 2721, 593, 519, 32640, 543, 12701, 519, 20194, 883, 513, 7299, 1793, 527, 23401, 519, 3750, 540, 513, 3032, 269, 1261, 7682, 539, 602, 519, 1505, 1185, 26857, 930, 2164, 267, 19620, 519, 5075, 540, 606, 29933, 4458, 6040, 4807, 945, 5892, 1185, 7411, 10203, 1200, 9704, 693, 513, 3845, 540, 5216, 6279, 563, 297, 2129, 2335, 9710, 1676, 267, 513, 18230, 29555, 332, 6048, 267, 3964, 519, 2165, 968, 12027, 520, 27019, 639, 892, 538, 519, 2564, 2146, 609, 1010, 476, 5908, 280, 12031, 13886, 968, 4002, 519, 2126, 540, 23128, 520, 27019, 639, 1848, 2311, 602, 942, 267, 519, 2126, 585, 519, 2068, 3238, 9308, 18534, 12686, 519, 598, 673, 3337, 540, 519, 31894, 609, 6464, 269, 769, 476, 4350, 277, 267, 1739, 606, 3573, 3126, 540, 8062, 267, 10548, 11252, 10011, 22201, 773, 14765, 6707, 13401, 519, 3355, 2126, 585, 519, 17966, 618, 676, 1797, 540, 1351, 928, 531, 24328, 563, 11902, 17988, 585, 2622, 23715, 520, 27019, 639, 4303, 454, 1432, 8167, 540, 519, 17069, 864, 568, 3413, 21719, 609, 23128, 520, 27019, 639, 888, 298, 518, 520, 27019, 639, 568, 6059, 547, 1860, 1472, 835, 538, 1169, 476, 273, 267, 1822, 1004, 269, 4014, 6552, 267, 24931, 519, 2068, 568, 711, 7357, 1561, 321, 762, 563, 26765, 958, 267, 21901, 949, 1267, 689, 23128, 520, 27019, 639, 563, 298, 518, 520, 27019, 639, 814, 519, 1761, 547, 1267, 538, 3308, 15717, 267, 609, 1312, 4064, 27109, 1035, 8462, 540, 476, 736, 270, 1220, 610, 2539, 269, 589, 1268, 609, 23128, 520, 27019, 639, 538, 519, 2136, 2276, 568, 2808, 16155, 9420, 543, 949, 581, 14718, 585, 9659, 2640, 952, 621, 8813, 2630, 713, 12939, 563, 7617, 5567, 616, 6225, 585, 519, 31894, 888, 14187, 3750, 1072, 543, 4824, 1035, 8462, 666, 581, 6913, 998, 8192, 12381, 269, 15316, 2010, 540, 4195, 5613, 543, 10808, 267, 1519, 30207, 267, 737, 12685, 529, 267, 18683, 267, 19146, 15606, 267, 20521, 10433, 267, 3165, 267, 543, 1866, 267, 616, 782, 6225, 585, 519, 4064, 563, 13328, 23715, 520, 27019, 639, 4303, 476, 1708, 274, 11242, 454, 28097, 593, 519, 1357, 454, 25542, 3755, 945, 616, 18164, 827, 519, 2068, 1058, 798, 865, 538, 1931, 547, 2333, 4656, 269, 2368, 2043, 1522, 1265, 621, 5393, 3730, 563, 8256, 738, 606, 3750, 4387, 563, 2691, 729, 519, 2063, 942, 602, 596, 23384, 606, 3750, 6514, 286, 5269, 519, 1034, 540, 713, 8317, 676, 20319, 606, 13393, 609, 707, 3750, 11285, 547, 10929, 606, 6514, 563, 3849, 9953, 513, 14312, 2732, 454, 2304, 3573, 5044, 540, 5567, 1683, 3750, 1072, 2640, 269, 1280, 6099, 3750, 1072, 267, 11441, 547, 8532, 513, 1134, 28394, 2331, 543, 14312, 7594, 593, 513, 3232, 4493, 563, 26668, 2629, 23128, 520, 27019, 639, 5013, 596, 1058, 581, 3222, 540, 454, 2005, 5956, 1282, 18273, 563, 2005, 814, 1044, 4080, 602, 6211, 19260, 971, 607, 6379, 610, 23648, 666, 17108, 519, 12614, 540, 23128, 520, 27019, 639, 563, 2005, 3335, 5222, 1312, 4064, 563, 298, 518, 520, 27019, 639, 568, 513, 2068, 602, 5097, 5222, 1312, 4064, 21536, 831, 958, 563, 24868, 725, 538, 5075, 454, 18814, 547, 5075, 2242, 267, 513, 3461, 609, 918, 5861, 269, 786, 2154, 513, 1007, 6292, 540, 4715, 8163, 610, 14485, 1169, 1906, 3275, 563, 23086, 14485, 14475, 4481, 585, 918, 5861, 563, 305, 580, 573, 3154, 15449, 762, 14485, 630, 305, 294, 11679, 1070, 799, 616, 16419, 14461, 3346, 14485, 267, 616, 8246, 538, 3210, 547, 519, 12150, 2627, 540, 519, 31894, 563, 2005, 949, 16578, 22166, 547, 3346, 14485, 563, 23086, 14485, 723, 513, 12402, 547, 1118, 3346, 609, 519, 31894, 779, 12150, 2627, 950, 519, 3461, 1025, 3855, 267, 4929, 9636, 936, 942, 563, 310, 3036, 17162, 918, 2207, 2969, 8016, 2177, 4785, 667, 17751, 667, 2969, 2464, 0, 2521, 930, 7990, 995, 5858, 1148, 547, 2263, 5546, 543, 1085, 1170, 528, 1983, 563, 290, 22511, 1148, 547, 2263, 5546, 543, 1085, 1170, 528, 1983, 454, 300, 20723, 8342, 4569, 4245, 2336, 29222, 4569, 568, 606, 2653, 547, 4001, 267, 3810, 2500, 2979, 6437, 1759, 593, 1404, 543, 3946, 6823, 1565, 563, 5472, 519, 4245, 616, 2966, 547, 581, 1187, 543, 12300, 267, 865, 1453, 2972, 741, 4245, 543, 1745, 8746, 563, 763, 4245, 616, 2653, 585, 3610, 543, 3237, 547, 946, 267, 538, 1362, 610, 693, 1753, 563, 4322, 616, 519, 9059, 4245, 1141, 1453, 2731, 1294, 267, 1174, 267, 543, 666, 4019, 2979, 2035, 269, 1358, 616, 2523, 14018, 547, 1453, 945, 1810, 1406, 899, 2979, 267, 3668, 6015, 267, 1810, 1406, 1174, 2979, 519, 1259, 789, 616, 4867, 1373, 6026, 267, 610, 1175, 1616, 547, 1404, 563, 9209, 543, 2979, 568, 1390, 4999, 267, 607, 519, 1079, 2127, 16937, 865, 1454, 269, 1879, 649, 2461, 1565, 827, 5546, 616, 649, 2324, 593, 2979, 2035, 610, 1148, 2093, 286, 5637, 540, 1576, 256, 3371, 779, 513, 7990, 995, 3141, 13906, 7815, 2856, 602, 4249, 609, 10580, 563, 2171, 3323, 938, 3337, 1148, 1788, 676, 5969, 856, 930, 10580, 689, 25549, 3556, 269, 594, 723, 835, 8250, 945, 2306, 5969, 856, 10580, 1954, 5598, 1413, 865, 2653, 267, 855, 1250, 824, 8250, 543, 594, 991, 513, 5858, 547, 10250, 5180, 269, 23657, 1259, 267, 5969, 856, 10580, 568, 1390, 2259, 585, 1085, 1170, 528, 1983, 563, 9202, 649, 5129, 1472, 609, 24208, 519, 10580, 547, 1294, 1018, 5546, 649, 1223, 1118, 269, 1548, 5546, 7902, 950, 596, 16784, 513, 5858, 538, 3368, 286, 769, 20453, 286, 1772, 621, 2653, 547, 16784, 883, 3670, 2195, 286, 1548, 616, 782, 519, 5546, 1572, 888, 10190, 513, 3787, 811, 1085, 1170, 528, 26821, 267, 5969, 856, 513, 3099, 540, 4130, 5546, 689, 938, 25649, 10580, 563, 288, 2656, 6968, 538, 519, 22938, 2203, 4216, 7000, 930, 811, 10580, 281, 519, 13279, 689, 930, 533, 11170, 553, 269, 1284, 2759, 856, 519, 8998, 547, 2285, 513, 9764, 7406, 269, 630, 2791, 666, 946, 21312, 610, 513, 1957, 6676, 585, 713, 1932, 1040, 1656, 1287, 649, 12758, 930, 20202, 1532, 8898, 5068, 1315, 3346, 1957, 2066, 519, 7406, 547, 2285, 513, 20202, 17198, 563, 763, 1390, 3364, 827, 3346, 1957, 568, 602, 596, 666, 1747, 3688, 593, 621, 267, 22019, 873, 1055, 267, 1689, 519, 3270, 267, 543, 1118, 1114, 6272, 1360, 3362, 269, 898, 779, 1390, 585, 3695, 5546, 543, 3270, 267, 543, 2870, 8260, 531, 553, 563, 2171, 5129, 1472, 930, 811, 267, 1818, 891, 7990, 995, 5858, 6272, 269, 1411, 666, 6451, 15340, 952, 596, 899, 267, 12270, 707, 5858, 538, 3368, 2059, 513, 8006, 543, 1818, 9838, 6272, 593, 2901, 2427, 267, 610, 596, 666, 1711, 1896, 24293, 3515, 540, 15340, 630, 3697, 513, 6777, 4148, 820, 1916, 2791, 666, 1106, 1007, 10580, 689, 519, 4130, 5546, 596, 4076, 2759, 856, 267, 10956, 7990, 3270, 1472, 519, 5858, 267, 543, 1118, 930, 4190, 3141, 13906, 7129, 547, 4159, 538, 519, 6885, 563, 9558, 845, 707, 3450, 609, 8342, 4569, 454, 763, 8342, 4569, 3126, 3947, 596, 513, 2979, 6437, 602, 568, 2653, 547, 4001, 543, 3810, 2500, 563, 14399, 2648, 891, 4245, 1317, 789, 616, 2502, 543, 1187, 563, 2791, 3513, 723, 513, 2312, 1305, 540, 4712, 13402, 2979, 4245, 543, 2238, 602, 616, 2241, 547, 1291, 1210, 938, 1900, 8386, 9912, 3992, 10274, 267, 543, 799, 1453, 2731, 1174, 563, 6826, 519, 1655, 2979, 4116, 543, 5818, 707, 1453, 781, 6015, 543, 1983, 609, 8342, 4569, 269, 0, 763, 2311, 9469, 10791, 568, 513, 1970, 21307, 8510, 3433, 2732, 602, 814, 6591, 8560, 585, 922, 1761, 547, 5351, 538, 2597, 2530, 269, 1717, 267, 538, 1840, 547, 922, 2597, 2530, 2640, 267, 519, 2311, 9469, 10791, 814, 849, 1044, 2404, 609, 4824, 2790, 9355, 543, 2634, 1599, 269, 901, 2376, 786, 2263, 519, 2078, 1063, 519, 2311, 9469, 10791, 543, 2790, 9355, 267, 7234, 519, 3621, 2963, 3297, 713, 3409, 543, 3246, 3407, 4030, 585, 3988, 563, 763, 3163, 19992, 519, 2311, 9469, 10791, 454, 763, 2311, 9469, 10791, 729, 2919, 676, 3220, 269, 7917, 2311, 9469, 538, 519, 476, 3422, 271, 338, 543, 6591, 7839, 3007, 538, 519, 2038, 476, 1220, 271, 338, 269, 634, 2732, 568, 1759, 593, 519, 6240, 540, 28142, 19346, 6981, 543, 2810, 519, 4616, 540, 3940, 543, 2635, 9600, 269, 1635, 12145, 11950, 267, 519, 1560, 568, 7142, 547, 6633, 6740, 3170, 585, 1648, 267, 3056, 547, 2597, 2530, 563, 2691, 11950, 616, 10057, 267, 789, 616, 7745, 1524, 883, 7280, 267, 799, 568, 519, 3119, 2707, 540, 1648, 585, 519, 2634, 269, 1717, 267, 593, 519, 2311, 9469, 10791, 267, 519, 1560, 13788, 513, 1533, 540, 11337, 2670, 267, 1141, 621 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 1607, 9226, 568, 585, 519, 2027, 9226, 3252, 7531, 5035, 6396, 8138, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1003, 2187, 1038, 1582, 8542, 636, 815, 1003, 692, 825, 1219, 6449, 11357, 9191, 1345, 267, 824, 2187, 1038, 2132, 1582, 8542, 636, 910, 824, 8542, 636, 692, 11133, 272, 815, 6396, 8138, 263, 1015, 994, 11133, 273, 815, 6396, 8138, 263, 1321, 2020, 2745, 16325, 272, 910, 1003, 273, 994, 0, 12163, 1607, 568, 1776, 1383, 540, 519, 1362, 454, 20701, 5035, 12287, 912, 825, 5727, 1607, 1362, 2488, 1344, 1644, 547, 519, 12287, 12163, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 5727, 1607, 568, 1031, 547, 3355, 1125, 519, 2418, 12163, 1038, 1582, 8807, 1009, 4067, 815, 834, 11990, 4840, 1038, 1582, 17106, 815, 834, 5719, 653, 4840, 1038, 1582, 4318, 344, 1815, 565, 528, 815, 834, 326, 9445, 4840, 1038, 1582, 269, 720, 815, 476, 5655, 692, 17367, 815, 12287, 4590, 2745, 9638, 3205, 8807, 1009, 4067, 994, 17367, 8807, 1009, 4067, 815, 834, 21837, 4840, 2745, 9638, 3205, 8807, 1009, 4067, 264, 0, 12163, 1607, 568, 1776, 1383, 540, 519, 11718, 692, 20373, 540, 519, 31098, 912, 1103, 9226, 1169, 5311, 568, 12055, 762, 609, 519, 948, 540, 519, 12055, 1807, 269, 901, 666, 581, 2944, 609, 519, 948, 540, 519, 1985, 3890, 3710, 514, 1599, 454, 17653, 1807, 568, 1031, 1711, 513, 12055, 1807, 585, 513, 5311, 269, 901, 11718, 568, 513, 1599, 799, 1281, 711, 2132, 855, 11729, 269, 11910, 532, 519, 11718, 3489, 338, 454, 1492, 11718, 1843, 543, 10912, 519, 1985, 3890, 1599, 593, 519, 11718, 1843, 2488, 519, 1267, 692, 20701, 3698, 11718, 10031, 825, 562, 476, 815, 476, 272, 454, 825, 1820, 3488, 3080, 256, 5073, 825, 6556, 562, 692, 825, 562, 815, 562, 266, 272, 454, 825, 1820, 3488, 10521, 8206, 5073, 825, 6556, 562, 692, 825, 562, 815, 562, 266, 272, 454, 825, 1820, 3488, 16248, 8206, 5073, 825, 6556, 562, 692, 825, 562, 815, 562, 266, 272, 454, 825, 1820, 3488, 27917, 8206, 5073, 825, 6556, 562, 692, 326, 815, 11718, 4590, 2745, 14116, 994, 2745, 263, 10113, 14116, 4917, 2745, 263, 10113, 14116, 4917, 2745, 263, 10113, 14116, 4917, 2745, 263, 10113, 14116, 4297, 0, 258, 1607, 568, 9226, 1982, 593, 14671, 528, 327, 335, 1143, 7531, 5035, 670, 7631, 13160, 912, 825, 15981, 1607, 1362, 6257, 827, 519, 670, 7631, 13160, 18411, 825, 1219, 2792, 4311, 2187, 1038, 1820, 3488, 5445, 946, 519, 17391, 7125, 543, 3308, 10291, 17210, 825, 1219, 3802, 4311, 2187, 1038, 1820, 3488, 5445, 616, 5679, 22976, 3802, 619, 543, 946, 13793, 689, 835, 3529, 547, 1776, 17210, 5035, 18972, 263, 295, 7631, 13160, 2187, 825, 15981, 1607, 1362, 9100, 1080, 689, 519, 670, 7631, 13160, 543, 1685, 519, 26340, 1143, 18411, 825, 1219, 2792, 4311, 2187, 1038, 1820, 3488, 5445, 946, 1893, 547, 5968, 17210, 825, 1219, 3802, 4311, 2187, 1038, 1820, 3488, 5445, 616, 536, 760, 2644, 17210, 5035, 32020, 8759, 263, 295, 7631, 13160, 2187, 825, 15981, 1607, 1362, 9100, 1080, 689, 670, 7631, 13160, 18411, 825, 1219, 2792, 4311, 2187, 1038, 1820, 3488, 5445, 946, 4938, 559, 1794, 339, 687, 547, 5968, 17210, 825, 1219, 3802, 4311, 2187, 1038, 1820, 3488, 5445, 616, 5679, 22976, 3802, 619, 17210, 327, 272, 815, 670, 7631, 13160, 4590, 327, 272, 2593, 22861, 1709, 4590, 327, 272, 9884, 1779, 4590, 2745, 3488, 265, 262, 265, 736, 994, 327, 273, 815, 18972, 4590, 327, 272, 9884, 1779, 4590, 327, 272, 2593, 22861, 1709, 4590, 2745, 3488, 265, 262, 265, 736, 994, 326, 272, 815, 32020, 8759, 4590, 326, 272, 2593, 22861, 1709, 4590, 326, 272, 9884, 1779, 3890, 0, 12163, 31262, 547, 1592, 6119, 593, 538, 1142, 17835, 540, 519, 1699, 2324, 15682, 454, 20701, 5814, 15259, 692, 3698, 1592, 6958, 3796, 5560, 597, 4067, 2187, 825, 5727, 8266, 519, 6119, 593, 519, 2324, 15682, 12163, 825, 585, 3597, 267, 546, 15077, 267, 325, 3796, 538, 15259, 9884, 1779, 5560, 597, 4067, 267, 9008, 6658, 25716, 2187, 1038, 585, 3758, 538, 6119, 912, 2018, 1820, 263, 657, 29624, 12459, 7765, 20172, 267, 12803, 11723, 4289, 6958, 3796, 2891, 292, 24097, 32086, 318, 19061, 338, 315, 5308, 318, 17582, 8442, 0, 12163, 1607, 568, 1031, 547, 4766, 519, 1071, 268, 15453, 538, 519, 3113, 2059, 609, 519, 5918, 837, 2409, 454, 20701, 5035, 3213, 318, 15453, 912, 825, 5727, 1607, 1362, 4564, 519, 1448, 593, 519, 3113, 12163, 825, 2698, 318, 15953, 338, 815, 11713, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 267, 586, 2187, 1038, 5727, 1607, 568, 1031, 547, 3355, 1125, 519, 2418, 12163, 1038, 1582, 11859, 815, 1535, 454, 1038, 1582, 13885, 815, 586, 454, 1038, 3213, 318, 15453, 6745, 4973, 318, 15953, 338, 6910, 4311, 2020, 692, 825, 1219, 3845, 318, 5228, 318, 10594, 514, 4311, 2187, 1038, 5727, 1607, 1599, 2488, 519, 3845, 689, 5169, 12163, 1038, 1535, 5091, 626, 815, 1582, 11859, 1262, 273, 454, 1038, 586, 5091, 626, 815, 1582, 13885, 1262, 273, 454, 1038, 2132, 630, 343, 5091, 626, 20742, 5091, 626, 264, 1262, 273, 692, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 5727, 1607, 568, 1031, 547, 2099, 519, 1071, 268, 15453, 593, 519, 5569, 5250, 12163, 1038, 2132, 834, 2891, 266, 1598, 4311, 11859, 11924, 14824, 266, 1598, 4311, 13885, 11924, 8442, 5016, 825, 1219, 6449, 516, 1440, 9191, 1345, 2187, 1038, 5727, 1607, 568, 1031, 547, 2099, 519, 1071, 268, 15453, 593, 519, 1362, 3898, 12163, 1038, 2132, 834, 10870, 268, 15453, 2891, 266, 1598, 4311, 11859, 11924, 14824, 266, 1598, 4311, 13885, 11924, 8442, 5016, 825, 1219, 6449, 5417, 9191, 1345, 267, 824, 2187, 1038, 5727, 1607, 568, 1031, 547, 1039, 1079, 1071, 268, 24002, 12163, 1038, 1582, 269, 2908, 13448, 815, 1582, 11859, 266, 1278, 11859, 454, 1038, 1582, 269, 2908, 14729, 815, 1582, 13885, 266, 1278, 13885, 454, 1038, 2132, 3213, 318, 15453, 4311, 269, 2908, 13448, 267, 1345, 269, 2908, 14729, 2020, 825, 1219, 6449, 11357, 9191, 1345, 267, 824, 2187, 1038, 5727, 1607, 568, 1031, 547, 10208, 1079, 1071, 268, 24002, 12163, 1038, 1582, 269, 2908, 13448, 815, 1582, 11859, 910, 824, 11859, 454, 1038, 1582, 269, 2908, 14729, 815, 1582, 13885, 910, 824, 13885, 454, 1038, 2132, 3213, 318, 15453, 4311, 269, 2908, 13448, 267, 1345, 269, 2908, 14729, 2020, 825, 1219, 6449, 18091, 9191, 1345, 267, 824, 2187, 1038, 5727, 1607, 568, 1031, 547, 2638, 2436, 1079, 2798, 616, 1482, 12163, 1038, 1871, 815, 630, 1345, 11859, 2652, 824, 11859, 264, 543, 630, 1345, 13885, 2652, 824, 13885, 994, 1038, 2132, 1871, 692, 825, 1219, 13506, 4311, 267, 824, 2187, 1038, 5727, 1607, 568, 1031, 547, 1265, 519, 9386, 1063, 1079, 2798, 12163, 1038, 2132, 630, 1278, 13885, 910, 1582, 13885, 19422, 1278, 11859, 910, 1345, 11859, 2020, 825, 1219, 3845, 10734, 15277, 4671, 6851, 318, 9557, 4311, 267, 824, 2187, 1038, 5727, 1607, 568, 1031, 547, 1265, 519, 3845, 1063, 1079, 2798, 12163, 1038, 1582, 6155, 626, 13448, 815, 630, 1345, 11859, 910, 824, 11859, 264, 1262, 273, 454, 1038, 1582, 6155, 626, 14729, 815, 630, 1345, 13885, 910, 824, 13885, 264, 1262, 273, 454, 1038, 2132, 630, 1345, 6155, 626, 13448, 1341, 1582, 6155, 626, 14729, 264, 1262, 273, 692, 825, 1219, 6449, 6352, 9191, 1345, 2187, 1038, 5727, 1607, 11225, 519, 2698, 1297, 540, 3615, 2813, 12163, 1038, 2132, 7003, 263, 10870, 318, 15453, 6745, 4973, 318, 15953, 338, 2020, 322, 815, 3213, 318, 15453, 263, 274, 267, 275, 994, 323, 815, 3213, 318, 15453, 263, 276, 267, 277, 994, 2745, 6262, 994, 2745, 263, 516, 1440, 6262, 4917, 2745, 6262, 6155, 2700, 318, 5228, 318, 10594, 514, 15405, 2745, 6262, 266, 323, 994, 2745, 6262, 1673, 994, 2745, 263, 516, 1440, 6262, 266, 323, 4917, 2745, 263, 516, 1440, 6262, 1673, 4917, 2745, 6262, 6155, 2700, 10734, 15277, 4671, 6851, 318, 9557, 5560, 4917, 324, 815, 3213, 318, 15453, 263, 274, 267, 275, 994, 2745, 6262, 2652, 552, 994, 2745, 12759, 16216, 4297, 0, 12163, 1607, 568, 1776, 1383, 540, 519, 7718, 1807, 799, 11974, 519, 5470, 454, 20701, 5814, 2979, 692, 3698, 1858, 6831, 22511, 6958, 333, 263, 31709, 2187, 825, 8173, 825, 901, 21410, 519, 1858, 540, 519, 5858, 454, 825, 2433, 12407, 8953, 281, 2415, 272, 543, 8870, 454, 825, 2433, 8873, 281, 1858, 543, 568, 10581, 454, 825, 8173, 825, 2132, 2979, 32564, 265, 31709, 265, 31709, 692, 3698, 15943, 6831, 22511, 6958, 333, 263, 31709, 2187, 825, 8173, 825, 901, 21410, 519, 15943, 540, 519, 5858, 454, 825, 2433, 12407, 8953, 281, 2415, 272, 543, 568, 8870, 454, 825, 2433, 8873, 281, 15943, 543, 568, 10581, 454, 825, 8173, 825, 2132, 476, 273, 265, 4118, 32564, 265, 31709, 692, 3698, 8006, 6831, 22511, 6958, 333, 263, 31709, 2187, 825, 8173, 825, 901, 21410, 519, 8006, 540, 519, 5858, 454, 825, 2433, 12407, 8953, 281, 2415, 272, 543, 568, 8870, 454, 825, 2433, 8873, 281, 8006, 543, 568, 8870, 454, 825, 8173, 825, 2132, 476, 273, 265, 31709, 7531, 3698, 2638, 318, 31709, 6600, 15635, 2187, 825, 8173, 825, 901, 568, 519, 7718, 1807, 799, 11974, 2436, 519, 8953, 568, 2318, 454, 825, 2433, 12407, 30775, 281, 2415, 272, 543, 568, 519, 1599, 1843, 454, 825, 2433, 8873, 281, 513, 1599, 1843, 454, 825, 8173, 825, 1219, 6418, 6958, 4233, 263, 2784, 2187, 1038, 952, 2234, 10922, 271, 912, 2018, 6318, 28759, 3488, 20238, 3780, 3112, 581, 2942, 5073, 1038, 2132, 30775, 263, 2784, 994, 825, 2132, 6418, 6958, 4233, 692, 22772, 318, 19327, 815, 13765, 318, 31709, 263, 19327, 6831, 22511, 6958, 333, 994, 2745, 6600, 785, 318, 19327, 994, 2745, 6600, 785, 318, 19327, 263, 273, 4917, 28744, 6600, 785, 318, 19327, 8987, 272, 4297, 0, 258, 1607, 568, 1776, 9226, 1982, 7531, 5035, 23426, 912, 825, 15981, 1607, 1362, 6257, 827, 519, 3337, 18411, 825, 1219, 6449, 8181, 9191, 1345, 267, 3337, 25292, 267, 2681, 815, 262, 16446, 262, 2187, 1038, 1582, 14857, 27729, 25292, 476, 815, 3337, 25292, 454, 1038, 1582, 14857, 10233, 815, 2681, 692, 825, 1219, 1205, 25292, 4311, 2187, 1038, 2132, 1582, 14857, 27729, 25292, 692, 825, 1219, 1205, 318, 10233, 4311, 2187, 1038, 2132, 1582, 14857, 10233, 692, 825, 1219, 1205, 318, 12407, 2678, 4311, 2187, 1038, 1780, 692, 825, 1219, 1205, 318, 19327, 4311, 2187, 1038, 1780, 692, 5035, 17781, 263, 4537, 1901, 2187, 825, 1780, 692, 15132, 548, 815, 17781, 3488, 15132, 548, 17210, 2745, 6262, 22511, 10947, 318, 10233, 15405, 2745, 6262, 22511, 10947, 25292, 31156, 5035, 12384, 263, 4537, 1901, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 3337, 25292, 2187, 1038, 23426, 14857, 8181, 9191, 1345, 267, 3337, 25292, 267, 2681, 815, 262, 19990, 17210, 338, 13645, 284, 12384, 3488, 338, 13645, 5073, 2745, 4433, 13645, 2020, 2745, 4433, 13645, 10947, 25292, 15405, 2745, 4433, 13645, 10947, 318, 10233, 28829, 0, 12163, 5194, 1305, 540, 1383, 593, 2039, 454, 20701, 1721, 1775, 538, 2039, 263, 272, 267, 1556, 2187, 825, 952, 1775, 4939, 273, 2652, 476, 271, 912, 1038, 1820, 3488, 260, 323, 568, 1256, 262, 260, 328, 994, 825, 3116, 912, 1038, 1820, 3488, 260, 323, 568, 9642, 262, 260, 328, 2020, 3240, 8217, 273, 815, 29129, 1721, 1775, 538, 2039, 263, 272, 267, 3374, 2187, 825, 952, 630, 328, 260, 274, 2652, 271, 264, 610, 630, 328, 260, 276, 2525, 271, 2187, 1038, 1250, 8217, 273, 6910, 9217, 994, 2745, 30044, 8217, 273, 2020, 2745, 3488, 265, 262, 265, 736, 994, 19477, 815, 314, 6540, 1721, 1775, 538, 2039, 263, 1911, 267, 22145, 2187, 825, 1003, 23919, 815, 1193, 9217, 994, 825, 1101, 5091, 13424, 815, 703, 16325, 23919, 314, 271, 7481, 825, 2034, 5091, 13424, 815, 703, 16325, 23919, 314, 272, 7481, 825, 3791, 5091, 13424, 815, 703, 16325, 23919, 314, 273, 20285, 825, 952, 630, 14140, 5091, 13424, 260, 273, 2525, 271, 264, 543, 630, 16149, 5091, 13424, 260, 273, 2652, 476, 271, 264, 543, 630, 628, 2273, 5091, 13424, 260, 273, 2652, 271, 2187, 1038, 3688, 6910, 16325, 23919, 994, 2745, 263, 3299, 8339, 21860, 263, 19477, 11723, 257, 19350, 568, 519, 3349, 8228, 5016, 2745, 3488, 19350, 568, 519, 3349, 8228, 17210, 1721, 1003, 272, 538, 2039, 263, 272, 267, 1015, 2187, 825, 1820, 3488, 11133, 272, 3299, 11133, 272, 267, 754, 815, 262, 30386, 825, 585, 1003, 318, 273, 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 ]
[ 8106, 5736, 269, 0, 2690, 930, 2601, 267, 649, 2141, 27906, 1047, 950, 621, 2501, 547, 642, 1162, 269, 26540, 543, 536, 537, 638, 1115, 1439, 909, 538, 14296, 610, 8900, 30660, 269, 634, 824, 1554, 267, 6368, 267, 1250, 3214, 267, 5295, 623, 543, 18160, 661, 267, 543, 594, 4956, 547, 1118, 513, 642, 848, 610, 1079, 269, 901, 1259, 267, 649, 3893, 547, 19074, 930, 8900, 4837, 30660, 543, 14569, 267, 543, 930, 2025, 14786, 563, 19950, 532, 5013, 827, 642, 1162, 912, 268, 634, 4457, 1627, 1014, 14075, 642, 848, 1305, 513, 1007, 2594, 607, 519, 1034, 7199, 28028, 6221, 2479, 4421, 538, 606, 25488, 267, 950, 621, 4421, 585, 606, 4230, 15929, 1269, 7871, 2929, 269, 630, 296, 723, 1100, 2856, 952, 1250, 3214, 6956, 875, 1454, 2724, 602, 2965, 568, 269, 1809, 789, 575, 18968, 693, 803, 538, 22035, 7321, 1916, 268, 5259, 1494, 1562, 941, 7683, 4657, 519, 3337, 540, 741, 4583, 642, 1162, 543, 17428, 269, 1656, 1346, 941, 2356, 1500, 540, 1768, 2350, 27198, 267, 711, 12139, 20061, 2433, 994, 268, 4837, 610, 5068, 14569, 454, 268, 1957, 20061, 630, 1721, 713, 835, 596, 991, 17476, 610, 14786, 994, 268, 15441, 543, 23805, 454, 9288, 5501, 519, 18592, 540, 519, 11480, 596, 1131, 899, 547, 2490, 883, 513, 642, 848, 269, 1284, 1031, 513, 4062, 540, 15144, 8142, 585, 713, 1900, 563, 299, 599, 519, 8142, 1524, 267, 543, 596, 3513, 917, 875, 1082, 540, 707, 18202, 5346, 12139, 3817, 596, 2811, 2469, 547, 991, 585, 707, 642, 848, 269, 3794, 826, 519, 20061, 538, 513, 4737, 269, 630, 9743, 15297, 585, 1818, 12139, 3817, 20061, 616, 1934, 8094, 15812, 543, 2759, 2786, 3515, 593, 519, 5377, 543, 1283, 563, 10908, 826, 519, 30804, 1927, 547, 1118, 513, 8546, 585, 707, 642, 848, 563, 13014, 513, 21312, 5377, 269, 1284, 3905, 3766, 1663, 539, 621, 547, 519, 642, 848, 563, 303, 5593, 543, 1577, 3819, 563, 3086, 267, 1247, 519, 642, 1162, 616, 15018, 267, 979, 856, 609, 707, 4819, 543, 4584, 930, 5810, 269, 1703, 616, 513, 1906, 8768, 4610, 2673, 547, 1141, 649, 2661, 267, 543, 519, 8695, 1265, 621, 1360, 4277, 910, 789, 1293, 519, 2724, 789, 723, 547, 2322, 538, 519, 3684, 267, 1491, 519, 17180, 602, 13793, 338, 972, 267, 543, 2759, 930, 5810, 563, 2791, 1522, 1616, 547, 30164, 707, 642, 1162, 269, 570, 3539, 513, 6367, 610, 513, 4062, 540, 20612, 568, 1390, 585, 3384, 5386, 2173, 19318, 1983, 563, 20278, 519, 14569, 4904, 609, 1216, 883, 519, 13740, 267, 543, 2322, 519, 5810, 538, 563, 4517, 972, 596, 723, 621, 2433, 264, 0, 20606, 710, 5576, 928, 3187, 4864, 476, 2767, 267, 476, 1708, 271, 16974, 9664, 454, 763, 1592, 568, 11995, 269, 5272, 2385, 13821, 513, 4028, 1646, 585, 741, 1453, 282, 621, 779, 849, 851, 540, 741, 5539, 547, 2327, 741, 1453, 1020, 676, 2921, 873, 998, 519, 2556, 4247, 269, 11109, 6956, 519, 1909, 7801, 3817, 1404, 538, 602, 1126, 779, 1646, 267, 979, 543, 1205, 1863, 7801, 3817, 1631, 585, 707, 1126, 779, 1646, 2336, 294, 1516, 1453, 519, 15698, 540, 7801, 3817, 547, 1820, 568, 513, 29751, 4316, 585, 873, 547, 1397, 1018, 789, 616, 2731, 1500, 1055, 269, 3502, 1152, 568, 621, 606, 28627, 547, 2769, 2933, 267, 621, 849, 2636, 873, 547, 2097, 909, 609, 1114, 4778, 789, 1745, 1223, 6474, 1934, 2421, 2679, 543, 18398, 741, 3860, 2631, 269, 18738, 741, 8186, 267, 606, 16494, 1158, 814, 1044, 2813, 676, 873, 543, 1142, 942, 789, 723, 519, 17979, 540, 2348, 5961, 547, 2681, 267, 789, 1294, 621, 607, 513, 1305, 1863, 547, 16196, 602, 16494, 1158, 593, 519, 3544, 563, 24478, 633, 8342, 281, 1684, 596, 3314, 7801, 607, 513, 4819, 286, 898, 814, 1044, 513, 1279, 942, 585, 1034, 540, 721, 269, 2060, 2534, 3817, 267, 3214, 786, 946, 741, 5876, 547, 2824, 4778, 543, 30164, 269, 13689, 2390, 2085, 543, 5578, 267, 930, 786, 31163, 1076, 513, 2582, 2681, 782, 936, 519, 1957, 267, 855, 1866, 786, 2628, 2673, 3007, 547, 9363, 1369, 519, 3515, 543, 1210, 1896, 4778, 547, 1118, 519, 21300, 2985, 513, 960, 540, 1148, 269, 17859, 540, 519, 5578, 1377, 540, 519, 7376, 267, 3214, 1205, 3860, 543, 723, 513, 2603, 540, 1187, 563, 4002, 519, 14669, 9251, 12322, 602, 616, 6534, 547, 971, 2653, 1565, 1184, 602, 2306, 1919, 4277, 543, 4443, 585, 873, 547, 1353, 267, 789, 1020, 1732, 1565, 1983, 543, 2972, 1565, 2429, 1272, 269, 634, 26897, 538, 10477, 543, 2966, 2409, 948, 1683, 1344, 1454, 18334, 543, 4443, 547, 519, 1453, 543, 5512, 873, 547, 9305, 610, 1451, 1919, 3362, 563, 27735, 540, 22843, 16974, 9664, 269, 8866, 2965, 2972, 1565, 689, 606, 2038, 2085, 267, 1152, 596, 1058, 917, 875, 547, 4001, 873, 269, 6270, 9904, 7801, 9212, 1118, 2090, 2603, 4443, 543, 14402, 585, 873, 269, 1358, 1451, 689, 519, 1360, 4098, 547, 1491, 519, 2090, 899, 3756, 543, 1628, 2178, 3490, 585, 1565, 1919, 3362, 269, 31849, 540, 1453, 693, 2362, 5049, 3112, 6023, 519, 2604, 540, 2090, 1317, 789, 1810, 1406, 917, 519, 3169, 1184, 610, 1505, 540, 1565, 1317, 741, 9251, 1565, 1185, 1044, 1360, 1454, 7344, 543, 20585, 563, 3412, 698, 5209, 14840, 8187, 281, 2755, 7718, 908, 891, 3817, 267, 3214, 786, 1419, 2053, 4603, 609, 1585, 4778, 269, 1215, 1082, 2053, 723, 596, 2938, 513, 1159, 584, 325, 11954, 27959, 286, 2060, 17878, 267, 3214, 786, 1577, 741, 4337, 5209, 2196, 3552, 267, 607, 789, 949, 581, 6158, 547, 519, 17878, 267, 610, 827, 519, 17878, 267, 610, 10213, 2984, 1247, 789, 2681, 538, 519, 2985, 269, 8490, 606, 9345, 568, 835, 540, 1346, 1271, 1272, 1983, 538, 513, 1134, 17031, 1367, 602, 1058, 581, 9415, 693, 513, 1762, 2085, 563, 30357, 13192, 339, 7211, 1158, 7801, 1433, 31169, 2262, 7801, 3817, 1863, 2470, 7801, 3817, 585, 4079, 7801, 1433, 585, 6738, 22705, 15743, 7801, 1433, 8325, 773, 7801, 1433, 3014, 540, 555, 14772, 7801, 3817, 4359, 8260, 8403, 7801, 3817, 2566, 8323, 7801, 3817, 27033, 1941, 7801, 3817, 585, 4079, 7168, 7801, 3817, 585, 4079, 30539, 11738, 7801, 1433, 7064, 15130, 2937, 7801, 3817, 2143, 7801, 3817, 2220, 792, 2262, 7990, 532, 3817, 5614, 7801, 3817, 585, 4079, 771, 2284, 7801, 3817, 585, 4079, 6752, 7801, 3817, 585, 4079, 2220, 792, 2262, 7801, 3817, 9644, 2937, 7801, 2835, 4550, 2566, 7801, 3817, 524, 1380, 2262, 7801, 1433, 1863, 7792, 2220, 792, 2262, 7801, 3817, 1793, 1054, 7801, 3817, 585, 4079, 7801, 1433, 3032, 9066, 7801, 3817, 1989, 9404, 18912, 8941, 7801, 1433, 1863, 7792, 7801, 2835, 585, 4079, 7801, 10530, 585, 4079, 28581, 8260, 8403, 7801, 3817, 2937, 7801, 3817, 2228, 771, 2284, 8260, 8403, 7801, 3817, 2470, 7801, 3817, 585, 4079, 10889, 344, 7801, 1433, 14810, 7801, 2835, 2681, 676, 1297, 7801, 2835, 585, 4079, 1196, 3258, 782, 534, 1093, 324, 7801, 1433, 1989, 9404, 18912, 8941, 7801, 3817, 3662, 10806, 7801, 1433, 1863, 2937, 7801, 2835, 2937, 7801, 3817, 547, 1820, 1863, 7792, 7801, 1433, 3817, 585, 4079, 2220, 792, 1913, 2566, 1863, 7801, 3817, 2681, 325, 344, 7801, 3817, 16541, 7801, 3817, 585, 4079, 15851, 13144, 7801, 2835, 1863, 2937, 7801, 3983, 2262, 7801, 3817, 12016, 7801, 1433, 4418, 776, 28813, 7160, 1863, 2228, 2937, 7801, 2835, 1863, 7792, 31169, 2262, 7801, 3817, 678, 15951, 7801, 3817, 15813, 7801, 2835, 585, 4079, 1990, 523, 7801, 1433, 15693, 7801, 1433, 2228, 7801, 585, 4079, 2681, 3797, 7801, 3817, 21363, 7801, 3817, 17707, 7801, 1433, 5175, 3258, 7801, 3817, 7990, 532, 585, 4079, 2937, 28581, 7990, 532, 4806, 7801, 2835, 2566, 7801, 3817, 19173, 7801, 3817, 585, 4079, 546, 322, 14676, 7801, 1433, 1863, 2220, 792, 2262, 7801, 3817, 585, 4079, 9589, 26570, 7801, 1433, 7792, 588, 517, 518, 7801, 3817, 7801, 7270, 585, 4079, 2220, 8960, 7801, 3817, 2220, 792, 2262, 7801, 1433, 3817, 2937, 8260, 8403, 7801, 3817, 28114, 737, 1074, 1228, 7801, 2835, 22196, 7801, 3817, 1148, 3797, 7801, 1433, 4806, 7801, 3817, 585, 4079, 4190, 7801, 3817, 585, 4079, 2937, 7990, 532, 3817, 1863, 737, 1177, 2967, 328, 7801, 3817, 585, 4079, 2189, 7801, 2835, 1178, 903, 7051, 7801, 3817, 3860, 7314, 7801, 1433, 6126, 7801, 3817, 585, 4079, 16168, 2937, 7801, 3817, 3797, 7801, 3817, 2937, 7801, 7792, 4832, 2937, 7801, 3817, 2937, 7801, 2835, 585, 2367, 27033, 1941, 7990, 532, 3817, 585, 4079, 4359, 7801, 2835, 2937, 28581, 7801, 2835, 18173, 2937, 7801, 3817, 2937, 7801, 3817, 10530, 524, 1380, 1913, 7801, 3817, 1863, 2220, 792, 2262, 7801, 3817, 22559, 2937, 7801, 3817, 8737, 7801, 1433, 3817, 5326, 3032, 7815, 7801, 1433, 31369, 10530, 7801, 1433, 585, 4079, 2937, 5614, 7801, 3817, 2848, 2086, 6064, 7801, 3817, 8260, 8403, 7801, 1433, 3860, 10093, 3860, 7314, 7801, 1433, 7801, 2835, 585, 4079, 2228, 7801, 2835, 585, 4079, 8737, 7801, 3817, 585, 4079, 2937, 7801, 3817, 2241, 2937, 7801, 3817, 4677, 7801, 3817, 585, 4079, 10641, 807, 7801, 2835, 2681, 7801, 1433, 7990, 676, 1297, 585, 4079, 31369, 10530, 7801, 1433, 3094, 22448, 519, 1093, 2129, 7801, 3817, 585, 4079, 2220, 792, 2262, 7801, 2835, 6177, 7801, 3817, 585, 4079, 1655, 7801, 2835, 1863, 2937, 2681, 676, 1297, 1655, 7801, 3817, 585, 4079, 5373, 3817, 585, 4079, 5728, 4677, 7801, 1433, 8737, 3817, 4550, 2566, 7801, 3817, 7792, 2937, 2681, 676, 1297, 3817, 771, 2284, 2937, 7801, 1433, 30682, 7990, 532, 1433, 6738, 909, 7801, 3817, 8260, 8403, 7801, 813, 31369, 2937, 7801, 3817, 524, 1380, 2262, 7801, 3817, 8768, 8260, 8403, 7801, 3817, 1913, 547, 2681, 676, 7801, 1433, 8260, 8403, 9066, 7801, 1433, 4503, 5836, 7801, 1433, 9354, 7801, 3817, 31369, 7801, 2835, 1527, 534, 640, 7801, 1433, 2189, 7801, 3817, 585, 4079, 1990, 754, 22259, 7801, 2835, 9649, 7801, 2835, 585, 4079, 1166, 5446, 334, 7801, 1433, 1793, 1054, 7801, 1433, 5162, 2937, 7801, 3817, 737, 1177, 2967, 328, 546, 22259, 7801, 3817, 3579, 7801, 3817, 585, 4079, 1990, 550, 4120, 7801, 1433, 5728, 4677, 7801, 3817, 2937, 7801, 1433, 3817, 1990, 523, 7990, 532, 1433, 2937, 7801, 2835, 2831, 9354, 8260, 8403, 7801, 3817, 7801, 1433, 5728, 4677, 4359, 7801, 3817, 6159, 1990, 1148, 7801, 2835, 5182, 10617, 2937, 7801, 1433, 2937, 8768, 7801, 3817, 678, 15951, 7801, 2835, 2937, 7801, 3817, 2831, 8260, 8403, 7801, 2228, 5614, 2937, 7801, 3817, 2937, 7801, 3817, 2220, 792, 1913, 1148, 3797, 7801, 3817, 2653, 2937, 7801, 2835, 2468, 653, 344, 7801, 2835, 7206, 3817, 585, 4079, 1863, 7801, 2835, 585, 4079, 676, 13875, 2681, 527, 7801, 2835, 524, 1380, 532, 7801, 2835, 17400, 532, 7801, 1433, 2937, 7801, 9212, 519, 588, 517, 518, 781, 7801, 1433, 15513, 7801, 3817, 2937, 7801, 3817, 7792, 6946, 7801, 3817, 6946, 7801, 2835, 561, 13453, 18367, 7801, 1433, 4079, 2681, 7801, 2835, 575, 15402, 7801, 3817, 20119, 2937, 7801, 1433, 4647, 762, 7801, 3817, 585, 4079, 20036, 2937, 7801, 3817, 8260, 8403, 7990, 532, 2835, 585, 4079, 2653, 2937, 7801, 3817, 1655, 2220, 792, 2262, 7801, 1433, 588, 517, 518, 7801, 3817, 4160, 7801, 3817, 561, 13453, 18367, 2937, 7801, 1433, 14952, 7801, 3817, 585, 4079, 30682, 7801, 3817, 585, 4079, 2220, 792, 7801, 3817, 795, 2129, 13860, 1666, 5112, 7801, 2835, 7990, 532, 3270, 585, 4079, 16168, 2937, 7801, 2835, 588, 517, 619, 7801, 1433, 2143, 7801, 2835, 14810, 7801, 3817, 585, 4079, 544, 1069, 4660, 7801, 3817, 585, 4079, 14810, 7801, 2835, 585, 4079, 8004, 7801, 3817, 585, 4079, 620, 823, 538, 4898, 1633, 2937, 7801, 1433, 0, 288, 2442, 17199, 543, 9241, 9310, 812, 267, 30777, 4667, 547, 581, 538, 606, 26195, 4192, 2990, 269, 1656, 2943, 267, 950, 1010, 9277, 3659, 521, 3298, 22027, 538, 1010, 2247, 827, 1010, 7385, 779, 535, 23474, 267, 646, 568, 7930, 10057, 676, 27421, 269, 769, 713, 3532, 13357, 267, 26454, 568, 18348, 539, 543, 3972, 568, 2144, 10757, 607, 1169, 2078, 568, 6537, 883, 513, 8126, 1194, 1357, 540, 23279, 625, 563, 32723, 4135, 2946, 30448, 2946, 572, 330, 476, 275, 269, 276, 270, 276, 910, 476, 272, 20527, 4135, 2946, 30448, 15530, 620, 777, 329, 17505, 454, 19365, 9956, 910, 589, 631, 1749, 28026, 13957, 781, 14134, 454, 288, 1762, 4807, 7904, 525, 18603, 609, 1200, 24158, 267, 1152, 547, 581, 22002, 676, 1200, 1131, 15515, 9393, 543, 676, 1200, 1655, 3659, 269, 1133, 342, 9231, 569, 267, 782 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3552, 2831, 538, 31322, 286, 3657, 649, 2922, 2496, 8334, 281, 8786, 267, 972, 616, 7320, 971, 607, 12217, 267, 4779, 846, 267, 543, 32608, 267, 855, 13341, 609, 5906, 3283, 616, 4686, 269, 3776, 3391, 786, 948, 721, 3251, 2922, 543, 2057, 1022, 1761, 4220, 269, 3807, 3314, 547, 2141, 1246, 5528, 950, 9683, 1007, 4025, 780, 7692, 281, 6153, 1448, 269, 1548, 827, 1426, 286, 4024, 594, 581, 2111, 547, 1265, 1945, 594, 899, 2496, 8334, 281, 17610, 256, 2755, 2757, 27245, 1014, 11951, 949, 8428, 689, 1018, 596, 2356, 3548, 267, 789, 723, 1585, 8286, 4502, 3843, 269, 2290, 4583, 8670, 568, 1572, 1207, 15120, 910, 2147, 547, 17339, 546, 636, 31958, 4904, 609, 5779, 269, 14755, 267, 1082, 14060, 1631, 8597, 547, 14666, 543, 4196, 3486, 6980, 607, 1134, 780, 7692, 281, 1325, 2431, 267, 1577, 781, 2161, 649, 6430, 547, 3643, 31322, 269, 1879, 568, 519, 3501, 942, 547, 979, 2496, 8334, 281, 14400, 3275, 630, 18907, 547, 4864, 264, 616, 1390, 585, 3695, 2094, 5210, 616, 7646, 1287, 269, 1717, 267, 952, 596, 1616, 547, 1995, 5162, 2238, 899, 4672, 15976, 610, 2915, 521, 1194, 3429, 267, 5412, 998, 5988, 1522, 9290, 1732, 780, 7692, 281, 8729, 585, 7713, 3388, 267, 7705, 256, 2913, 803, 1589, 827, 621, 543, 1865, 621, 609, 1250, 1920, 269, 9320, 649, 666, 1544, 1927, 28069, 4166, 780, 8334, 281, 2986, 1576, 267, 7585, 256, 24269, 596, 1118, 909, 707, 2247, 267, 594, 993, 4712, 585, 1776, 7045, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 291, 904, 476, 280, 476, 6977, 271, 1269, 454, 298, 327, 990, 338, 326, 565, 8235, 543, 6239, 31322, 24601, 454, 9199, 767, 547, 519, 7187, 31322, 282, 2442, 585, 922, 1164, 7823, 267, 4190, 5757, 267, 5394, 4104, 543, 12627, 2312, 10609, 990, 338, 326, 565, 10720, 269, 901, 4663, 568, 606, 5140, 3903, 585, 1346, 3168, 585, 6093, 27245, 1014, 1413, 543, 16837, 942, 538, 4190, 2470, 269, 589, 5031, 540, 713, 7552, 568, 12423, 10720, 10609, 12320, 338, 326, 592, 543, 556, 785, 17621, 1200, 1457, 1004, 2713, 972, 269, 1411, 786, 849, 2972, 12423, 1655, 18845, 2059, 519, 1259, 1519, 519, 3504, 3854, 2749, 10127, 752, 28262, 267, 1101, 14418, 268, 661, 6113, 20318, 340, 340, 27694, 267, 918, 1817, 2998, 18962, 543, 918, 1817, 2998, 6833, 16223, 3084, 6288, 563, 12195, 3722, 2464, 966, 3041, 3951, 3633, 1107, 918, 9618, 752, 1817, 636, 3504, 3854, 1315, 918, 1817, 2998, 6833, 16223, 2817, 5244, 1315, 5651, 517, 4884, 1315, 299, 820, 10609, 990, 338, 326, 565, 1315, 28800, 18962, 270, 2549, 16808, 28569, 6549, 656, 27694, 454, 31165, 476, 271, 281, 8121, 305, 4353, 3201, 5442, 772, 6369, 3198, 10621, 2969, 2752, 1299, 595, 14510, 570, 21788, 454, 26796, 12625, 693, 519, 932, 532, 326, 529, 918, 3873, 534, 4139, 23076, 596, 786, 1558, 676, 938, 2123, 543, 2638, 538, 707, 15678, 269, 2274, 15370, 942, 593, 707, 1378, 269, 23392, 568, 711, 3769, 538, 519, 10189, 563, 31165, 476, 272, 281, 570, 6938, 309, 8991, 292, 918, 2752, 288, 298, 3036, 9331, 681, 308, 27486, 6730, 18317, 291, 2894, 292, 2098, 308, 308, 631, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 307, 30728, 1315, 5607, 1315, 5101, 1315, 31322, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269, 0, 8080, 547, 938, 3408, 540, 4207, 13677, 6965, 256, 1411, 1522, 581, 11842, 1018, 2306, 13677, 6965, 2027, 543, 4502, 4974, 269, 4270, 267, 1175, 899, 875, 1169, 3148, 538, 519, 1158, 814, 922, 1378, 2189, 2528, 267, 1893, 267, 543, 1686, 267, 10430, 849, 814, 922, 3982, 5339, 5389, 269, 1635, 11362, 883, 891, 9954, 267, 596, 3513, 1205, 513, 19214, 883, 519, 2729, 540, 1004, 2713, 538, 10430, 543, 741, 4555, 267, 4606, 267, 543, 2833, 269, 901, 786, 948, 721, 1174, 1114, 5380, 543, 9163, 1247, 19825, 519, 5898, 540, 1913, 780, 3719, 1101, 267, 1577, 781, 2736, 1524, 930, 1883, 2474, 1384, 272, 269, 12634, 281, 898, 1797, 1945, 602, 12851, 547, 519, 1459, 942, 610, 2487, 2250, 269, 1924, 950, 649, 2161, 4207, 13677, 6965, 267, 621, 4016, 547, 519, 9954, 2854, 676, 13677, 15023, 1282, 938, 10715, 610, 1369, 519, 2063, 1906, 5756, 563, 273, 269, 14740, 281, 6056, 540, 3961, 607, 513, 2631, 540, 1582, 1107, 945, 649, 616, 1759, 593, 2188, 971, 607, 938, 4282, 267, 2418, 267, 4978, 267, 543, 2833, 269, 5772, 885, 666, 1689, 936, 942, 267, 543, 789, 1419, 12969, 609, 835, 1776, 269, 1280, 1383, 267, 2576, 1223, 2697, 607, 1312, 13677, 543, 1977, 952, 789, 941, 4535, 538, 3013, 855, 1185, 2178, 13218, 547, 10430, 998, 22693, 610, 909, 32523, 563, 274, 269, 3828, 12351, 2540, 281, 901, 2165, 4016, 547, 519, 1974, 1063, 5130, 476, 272, 560, 267, 476, 5002, 272, 267, 543, 5412, 476, 4029, 560, 267, 476, 1220, 271, 269, 3776, 1445, 593, 1412, 9928, 2714, 880, 3332, 689, 519, 14206, 2540, 262, 1797, 3168, 693, 1568, 3812, 676, 13677, 4589, 2429, 713, 4627, 4458, 12732, 780, 3086, 602, 649, 917, 1018, 649, 2811, 6158, 827, 1577, 781, 4685, 4514, 883, 1620, 1946, 13677, 6965, 6927, 543, 875, 621, 5546, 938, 8226, 540, 3961, 780, 22437, 2114, 616, 3532, 2645, 585, 11589, 4664, 543, 10213, 2984, 269, 1358, 946, 11733, 267, 22565, 267, 11052, 267, 14165, 267, 543, 824, 2553, 547, 6655, 1950, 2093, 538, 27772, 3029, 269, 1879, 2542, 9954, 689, 1585, 4529, 267, 1519, 1346, 689, 10430, 267, 649, 1451, 811, 827, 519, 1004, 267, 4025, 267, 543, 12583, 3297, 873, 780, 2690, 3236, 267, 4952, 6972, 2059, 519, 27726, 23795, 540, 10430, 267, 4743, 519, 30644, 30089, 1309, 816, 707, 3068, 543, 6217, 519, 6329, 16154, 1996, 519, 7725, 269, 589, 2199, 10564, 1522, 7001, 713, 6429, 1210, 12667, 11673, 543, 15931, 2262, 2452, 267, 3850, 3988, 2484, 2476, 547, 2671, 538, 519, 1995, 269, 3958, 267, 15023, 949, 2232, 4798, 4143, 547, 29703, 267, 971, 607, 519, 2956, 540, 2146, 267, 6043, 8015, 10792, 4365, 2175, 267, 610, 8497, 2757, 9821, 5103, 14051, 780, 2026, 649, 2263, 4207, 13677, 6965, 267, 1832, 538, 2247, 602, 1142, 6648, 9356, 519, 10564, 781, 1367, 5133, 543, 3961, 269, 2368, 15023, 1522, 11168, 741, 4276, 547, 2470, 267, 1247, 1866, 5490, 883, 1514, 2152, 7133, 10430, 2221, 269, 3414, 6297, 2079, 543, 4901, 267, 649, 4126, 547, 5660, 519, 17381, 540, 891, 3309, 9739, 543, 22962, 938, 1620, 540, 519, 1158, 1472, 721, 780, 12244, 5384, 2336, 2414, 14736, 11034, 938, 3460, 267, 1934, 781, 606, 3635, 585, 596, 1384, 272, 269, 4855, 513, 9602, 5544, 1141, 596, 4465, 1405, 581, 22841, 585, 2947, 3764, 563, 273, 269, 19171, 707, 4064, 543, 14650, 3054, 7555, 593, 513, 29384, 6772, 8504, 519, 5318, 5836, 2282, 513, 1507, 9381, 4884, 538, 10430, 269, 5994, 519, 2842, 25738, 9900, 998, 707, 4552, 267, 519, 3141, 8337, 707, 2960, 267, 543, 519, 9329, 540, 6070, 4248, 11423, 707, 19911, 337, 2812, 563, 274, 269, 3503, 1524, 1614, 5220, 10503, 713, 4259, 1210, 10444, 3877, 910, 1018, 596, 1294, 267, 5873, 267, 1745, 267, 6492, 267, 610, 1256, 5905, 269, 5457, 267, 972, 616, 1100, 1318, 610, 4636, 4267, 282, 979, 609, 8726, 2501, 6923, 547, 596, 563, 275, 269, 9523, 707, 5137, 609, 513, 3659, 610, 1920, 4759, 267, 7713, 1946, 1978, 1913, 543, 2592, 11542, 856, 547, 596, 780, 3528, 8026, 10855, 1603, 267, 649, 1020, 6568, 2509, 1114, 5054, 543, 2950, 267, 8600, 6000, 585, 21599, 538, 13677, 6965, 269, 8414, 3695, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 265, 8437, 593, 519, 21985, 547, 4228, 2278, 22808, 543, 7493, 338, 540, 4574, 454, 272, 1325, 2581, 22823, 630, 17206, 540, 5101, 5507, 994, 2704, 2581, 22823, 568, 513, 9972, 32082, 538, 2069, 693, 2160, 540, 5101, 5507, 269, 2701, 568, 1603, 1200, 12854, 5098, 13886, 968, 19669, 11554, 4147, 5753, 538, 5753, 779, 26135, 11470, 6100, 2701, 814, 4557, 1296, 685, 1995, 540, 3450, 593, 15938, 543, 2022, 12392, 4116, 2069, 15961, 269, 2701, 5892, 6026, 538, 7216, 13012, 267, 12729, 543, 7981, 20126, 5468, 538, 5507, 543, 31920, 269, 2701, 568, 2693, 547, 2491, 602, 519, 1284, 553, 2917, 1920, 723, 9645, 2686, 543, 3854, 538, 16452, 25260, 779, 1158, 609, 519, 13581, 652, 1008, 6327, 267, 2436, 693, 513, 10178, 15007, 610, 711, 563, 297, 517, 11936, 853, 9613, 779, 634, 717, 1961, 332, 779, 16685, 281, 7395, 673, 1362, 4655, 538, 606, 4244, 5507, 454, 1805, 9613, 779, 19258, 574, 30906, 959, 559, 9609, 568, 1305, 538, 606, 4244, 2413, 5507, 267, 519, 3854, 2749, 540, 519, 3703, 7276, 267, 1141, 4012, 5974, 616, 606, 23731, 8944, 267, 543, 1875, 2173, 698, 5974, 630, 8072, 21720, 619, 32426, 513, 16339, 2213, 896, 5035, 1510, 3540, 2924, 267, 13473, 1152, 679, 537, 326, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 28757, 13677, 17826, 543, 14740, 257, 607, 851, 540, 834, 11227, 1315, 2622, 9085, 1315, 10430, 1315, 476, 736, 628, 11416, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 1012, 4197, 4856, 21975, 543, 590, 27785, 19336, 26306, 692, 1103, 713, 1770, 267, 649, 786, 2263, 1079, 1271, 2035, 538, 1239, 2079, 281, 9756, 543, 23661, 5119, 7004, 269, 1284, 786, 849, 1451, 875, 547, 14650, 891, 2035, 1210, 5124, 781, 21267, 543, 11885, 8021, 780, 2162, 4856, 21975, 692, 17357, 21975, 568, 513, 8579, 2268, 602, 6257, 519, 4110, 547, 799, 1079, 4632, 1847, 538, 6935, 547, 1142, 824, 269, 769, 824, 1913, 267, 621, 2337, 721, 1174, 952, 2242, 538, 835, 4756, 616, 2404, 609, 2242, 538, 1776, 4756, 269, 4856, 21975, 568, 6027, 1063, 910, 272, 543, 476, 272, 269, 589, 9756, 540, 910, 272, 6920, 513, 3501, 2942, 9756, 267, 1247, 513, 9756, 540, 476, 272, 6920, 513, 3501, 2318, 9756, 269, 589, 9756, 540, 476, 271, 6920, 1100, 9756, 780, 1103, 5124, 267, 649, 666, 5173, 519, 9756, 1063, 1079, 4632, 1210, 519, 11885, 5399, 781, 2387, 14585, 337, 1723, 1030, 13237, 1599, 269, 901, 1599, 7024, 513, 5119, 540, 9756, 14170, 780, 3499, 7090, 454, 5814, 11885, 607, 5286, 692, 258, 8073, 1079, 14249, 454, 343, 815, 5286, 15126, 8443, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 7481, 344, 815, 5286, 15126, 8443, 276, 267, 476, 275, 267, 476, 274, 267, 476, 273, 267, 476, 272, 20285, 258, 12433, 9756, 454, 14585, 337, 815, 5286, 6983, 22741, 1723, 1030, 3287, 267, 586, 2020, 2745, 6262, 22741, 994, 7884, 763, 3977, 540, 713, 3009, 786, 581, 513, 476, 273, 343, 273, 5119, 269, 634, 15497, 2609, 540, 713, 5119, 616, 519, 9756, 540, 1142, 4756, 609, 3294, 267, 799, 568, 2141, 476, 272, 269, 634, 1055, 26817, 21192, 2609, 616, 519, 9756, 1063, 519, 1079, 4632, 269, 769, 713, 2013, 267, 519, 9756, 1063, 1535, 543, 586, 568, 910, 272, 267, 799, 6920, 513, 3501, 2942, 9756, 780, 2162, 590, 27785, 19336, 26306, 692, 288, 23661, 5119, 568, 513, 5119, 538, 799, 1034, 540, 519, 2609, 616, 4642, 269, 590, 27785, 14290, 616, 1419, 1031, 538, 1239, 2079 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 539, 630, 320, 536, 5460, 545, 7226, 1040, 6129, 2775, 568, 513, 2101, 12044, 3815, 543, 1034, 2249, 11656, 2127, 616, 538, 13719, 7297, 1141, 1769, 568, 726, 550, 3814, 269, 19452, 2837, 568, 1776, 1883, 26273, 540, 1272, 538, 519, 4262, 269, 901, 568, 1813, 547, 922, 2178, 538, 23807, 480, 340, 775, 936, 519, 2557, 540, 3114, 6547, 267, 799, 5540, 519, 2208, 267, 10285, 1967, 543, 2489, 2534, 540, 1022, 7068, 4171, 1560, 2837, 568, 519, 1482, 607, 519, 1216, 1472, 873, 269, 3962, 5836, 7226, 568, 849, 4299, 676, 1082, 824, 2188, 971, 607, 24952, 267, 2604, 543, 5567, 547, 2012, 855, 513, 1906, 269, 634, 22586, 13272, 568, 519, 19509, 337, 560, 20281, 1063, 2244, 543, 4262, 269, 898, 779, 1634, 607, 519, 1396, 339, 7394, 7997, 543, 568, 513, 1164, 20589, 1604, 267, 10599, 1229, 676, 6329, 269, 5029, 3359, 2713, 1934, 723, 547, 581, 25836, 267, 607, 519, 6329, 1491, 741, 17167, 543, 519, 20352, 5236, 361, 480, 797, 338, 538, 543, 856, 7466, 513, 1554, 267, 6028, 4224, 335, 8962, 547, 27106, 538, 519, 6129, 269, 8616, 5103, 891, 2182, 2175, 267, 519, 1396, 339, 7394, 7997, 568, 2407, 540, 1272, 563, 763, 5580, 23864, 10301, 616, 7957, 10696, 676, 9157, 2249, 971, 607, 28561, 8163, 267, 1929, 335, 1115, 543, 829, 12685, 1074, 956, 269, 1452, 7387, 1673, 6202, 619, 554, 6064, 518, 1524, 950, 519, 20352, 4422, 856, 543, 556, 15041, 10235, 607, 519, 1216, 7024, 269, 634, 1647, 543, 2539, 6879, 648, 9249, 1489, 519, 2249, 602, 616, 513, 2370, 1447, 9862, 585, 519, 9000, 540, 1216, 269, 13641, 2801, 1332, 538, 18015, 543, 1212, 341, 1182, 609, 7899, 540, 2139, 1769, 585, 15591, 269, 4053, 17632, 267, 4262, 25658, 543, 669, 527, 976, 1118, 519, 1647, 13272, 741, 1753, 267, 6466, 28725, 267, 23690, 9094, 267, 606, 655, 2158, 267, 2712, 577, 1231, 267, 5182, 16667, 3333, 267, 737, 27626, 543, 1256, 1762, 19509, 3333, 666, 581, 1336, 593, 519, 2539, 13272, 543, 538, 519, 4927, 3298, 3564, 269, 2201, 519, 22501, 17822, 602, 1419, 13173, 22586, 9381, 9249, 267, 519, 1379, 540, 1835, 4770, 6329, 2144, 3941, 519, 32132, 543, 12074, 19509, 928, 18574, 543, 521, 2830, 269, 901, 5932, 513, 24338, 7226, 602, 568, 9985, 14018, 547, 2249, 540, 17494, 602, 2661, 1369, 519, 22501, 1570, 267, 607, 1134, 607, 5236, 361, 480, 520, 16667, 3333, 602, 723, 7960, 547, 11100, 538, 269, 6480, 340, 2456, 849, 13105, 519, 10465, 1063, 2244, 543, 4262, 269, 10886, 2213, 676, 23864, 1216, 602, 5236, 361, 480, 340, 9822, 919, 538, 24952, 267, 1609, 340, 2456, 1404, 3984, 547, 2249, 602, 616, 9985, 9862, 547, 891, 4028, 3114, 13289, 269, 12292, 899, 454, 288, 9649, 737, 27626, 4104, 1055, 519, 22586, 6532, 540, 18280, 2088, 267, 11404, 454, 1195, 9094, 543, 930, 28725, 666, 10038, 741, 23015, 5328, 3601, 630, 1492, 1259, 602, 741, 4703, 6023, 6070, 4248, 543, 15195, 264, 547, 4308, 609, 519, 3232, 24952, 2242, 267, 6466, 824, 7068, 4782, 547, 2212, 856, 609, 519, 29500, 547, 3251, 538, 519, 30644, 7706, 269, 4033, 2831, 971, 607, 4837, 552, 1564, 2965, 2661, 538, 1609, 340, 25978, 5054, 543, 1689, 741, 24952, 7375, 2429, 741, 1272, 4783, 269, 769, 15911, 16374, 267, 1609, 340, 25978, 1216, 568, 1419, 3935, 2213, 676, 22600, 17311, 2220, 10102, 267, 799, 616, 8134, 609, 1776, 2189, 1305, 540, 24952, 14624, 269, 631, 836, 17311, 4054, 267, 540, 799, 972, 616, 1082, 2010, 267, 723, 1279, 267, 6335, 532, 5072, 602, 666, 19509, 331, 614, 26869, 269, 634, 3762, 666, 849, 608, 4740, 6070, 2676, 1805, 9792, 855, 3020, 717, 6938, 27486, 5508, 13138, 7473, 295, 454, 1692, 568, 519, 19509, 928, 5070, 2282, 14147, 18625, 3812, 888, 763, 11818, 1673, 16946, 1612, 8527, 16667, 3333, 5631, 3548, 519, 13479, 1369, 14147, 4874, 1186, 269, 634, 19509, 3333, 18009, 1055, 14147, 25098, 543, 20836, 621, 909, 269, 21418, 14147, 568, 1287, 608, 920, 1540, 607, 19509, 928, 5070, 1107, 621, 779, 19509, 3333, 1093, 334, 2336, 288, 31515, 645, 12551, 4189, 14147, 595, 6196, 5070, 4751, 956, 454, 291, 2839, 9358, 918, 301, 8582, 286, 2311, 3047, 779, 27811, 1448, 267, 519, 2604, 568, 476, 1556, 267, 28760, 9748, 8276, 273, 1107, 827, 519, 1482, 607, 3843, 547, 3180, 909, 476, 4366, 795, 636, 2692, 32062, 2336, 273, 476, 272, 476, 276, 454, 302, 4117, 8134, 476, 272, 631, 836, 17311, 2220, 10102, 281, 7013, 8419, 476, 273, 22398, 335, 7733, 281, 8053, 699, 344, 18686, 267, 4993, 476, 274, 1530, 698, 14993, 15135, 281, 1744, 1046, 7345, 267, 5375, 5245, 476, 275, 8899, 652, 1448, 593, 3047, 281, 5668, 10152, 12213, 476, 276, 3203, 328, 16667, 1017, 11818, 630, 18478, 540, 476, 1839, 13688, 2567, 13323, 540, 17289, 476, 277, 31527, 31516, 5887, 19509, 601, 1091, 281, 11068, 268, 4263, 23007, 23374, 454, 14708, 873, 23679, 9862, 585, 2713, 538, 15741, 880, 1216, 269, 634, 1804, 22600, 17311, 5072, 3180, 519, 32132, 1927, 543, 5706, 11761, 607, 1134, 607, 7863, 519, 13272, 689, 2842, 543, 5951, 1648, 269, 901, 2488, 12062, 585, 2831, 543, 824, 2371, 267, 543, 22600, 549, 1407, 616, 1271, 21543, 12406, 543, 1898, 1426, 2959, 585, 5017, 267, 12933, 30702, 543, 19509, 3333, 267, 2059, 609, 1804, 7286, 11864, 971, 607, 812, 622, 525, 269, 1530, 698, 14993, 15135, 616, 1419, 1336, 3395, 2282, 22600, 17311, 8134, 538, 1609, 340, 2456, 267, 536, 904, 267, 538, 7410, 610, 561, 6210, 976, 269, 1530, 698, 337, 13293, 616, 835, 540, 519, 1906, 2516, 540, 5236, 361, 480, 1077, 532, 2371, 538, 519, 4262, 543, 789, 991, 2312, 267, 13719, 1216, 547, 1332, 269, 1452, 14015, 1876, 985, 616, 1753, 547, 2831, 971, 607, 694, 1695, 8503, 543, 10612, 16667, 3333, 602, 7048, 593, 519, 12062, 543, 5567, 689, 519, 6371, 267, 855, 607, 17866, 8134, 267, 694, 698, 14993, 15135, 616, 896, 3463, 269, 21694, 267, 6735, 689, 12362, 2249, 543, 2799, 11159, 538, 519, 1216, 616, 1439, 836, 1359, 519, 15325, 540, 891, 9249, 269, 25021, 20991, 856, 689, 519, 5032, 267, 519, 13719, 21369, 7297, 540, 519, 18626, 15808, 454, 16908, 538, 519, 16095, 23807, 480, 1846, 26066, 16095, 23807, 480, 1846, 616, 1804, 954, 339, 10537, 20073, 525, 540, 521, 2830, 543, 11159, 267, 2356, 1336, 693, 519, 5023, 540, 606, 1609, 4231, 610, 538, 824, 1352, 2741, 1229, 5054, 269, 631, 644, 23807, 480, 1846, 616, 3810, 11327, 543, 616, 31523, 609, 1271, 6211, 2249, 543, 3157, 269, 634, 1283, 4494, 540, 16095, 267, 799, 3947, 519, 5236, 361, 480, 1846, 741, 8984, 6960, 7990, 568, 3638, 538, 5135, 267, 855, 519, 2539, 6106, 616, 3109, 543, 606, 16464, 267, 543, 891, 1489, 513, 1114, 1826, 540, 15451, 5117, 1759, 593, 3114, 6547, 269, 15661, 4763, 568, 2356, 1970, 267, 855, 2338, 540, 891, 2831, 616, 1360, 1164, 543, 519, 5135, 730, 16095, 3622, 3771, 321, 2293, 561, 1872, 19095, 267, 15483, 956, 267, 1660, 17632, 543, 930, 2010, 540, 13479, 267, 1851, 1082, 1866, 269, 3955, 339, 10537, 16095, 23807, 480, 1846, 849, 1683, 513, 21543, 2666, 585, 1082, 7068, 267, 19838, 13687, 267, 799, 1491, 5413, 540, 519, 1352, 2741, 1229, 7297, 547, 3049, 543, 9921, 1354, 6028, 585, 519, 1930, 5836, 269, 6684, 27436, 5017, 543, 5032, 2861, 11864, 849, 4096, 593, 519, 16095, 23807, 480, 1846, 585, 741, 17811, 11656, 1426, 8637, 563, 10048, 13402, 18625, 616, 1634, 607, 519, 1016, 331, 8636, 7394, 7997, 269, 8752, 568, 1869, 726, 550, 3814, 538, 519, 1216, 6241, 1934, 267, 799, 1797, 602, 7607, 568, 1164, 269, 17148, 616, 4998, 585, 2030, 543, 3473, 531, 2208, 267, 543, 865, 666, 1489, 930, 540, 519, 5836, 779, 1034, 3309, 2943, 10347, 8134, 281, 14147, 18625, 269, 24035, 338, 1106, 950, 14147, 16793, 538, 519, 1216, 6241, 8936, 547, 7725, 543, 824, 26828, 543, 1376, 547, 1332, 269, 634, 14147, 568, 1500, 909, 540, 7513, 28003, 622, 7729, 30416, 602, 2777, 14147, 4874, 1186, 269, 1452, 4874, 1186, 538, 2490, 2270, 6263, 6337, 24678, 2030, 2281, 1572, 18186, 2135, 656, 17850, 2801, 267, 799, 22937, 14147, 922, 7524, 7990, 269, 634, 14147, 2115, 513, 884, 857, 16667, 322, 1305, 540, 2168, 543, 3114, 6724, 547, 7639, 267, 799, 568, 1946, 18625, 616, 865, 17866, 269, 31849, 540, 1769, 543, 513, 5266, 3586, 2837, 540, 1472, 476, 736, 5232, 17622, 630, 6924, 5232, 18278, 264, 616, 1898, 269, 5221, 540, 713, 267, 2810, 2518, 5210, 616, 17116, 519, 6228, 540, 18625, 2066, 519, 4541, 269, 1403, 519, 2837, 540, 519, 1216, 4991, 1932, 1164, 267, 6926, 2286, 666, 2049, 799, 568, 950, 519, 14147, 30275, 338, 519, 18186, 2135, 656, 17850, 2801, 13479, 269, 901, 3123, 519, 14147, 547, 2490, 3043, 267, 543, 1510, 519, 18186, 2135, 656, 17850, 2801, 547, 6337, 9321, 1127, 1047, 267, 519, 14147, 454, 10048, 13402, 18625, 616, 2127, 540, 519, 4262, 23807, 480, 3233, 602, 616, 3935, 2213, 676, 7286, 2249, 607, 513, 1267, 540, 519, 11818, 779, 13307, 676, 3425, 269, 24035, 338, 666, 581, 2813, 538, 1931, 547, 3895, 9265, 538, 606, 1858, 267, 610, 547, 22771, 585, 936, 2224, 540, 513, 7226, 269, 4033, 1148, 328, 16667, 1017, 18625, 616, 1447, 20982, 267, 607, 7103, 3935, 1047, 1919, 971, 607, 6928, 342, 516, 4242, 610, 3282, 5867, 269, 634, 18625, 666, 3142, 1272, 547, 6382, 3046, 1066, 2127, 267, 3246, 513, 14041, 585, 1082, 2249, 547, 5236, 361, 480, 712, 880, 269, 634, 5836, 5236, 361, 480, 3233, 666, 581, 513, 1360, 4101, 1747, 547, 2661, 267, 543, 865, 2899, 24850, 883, 519, 1216, 6241, 267, 7103, 616, 6534, 547, 5836, 14768, 2462, 543, 1507, 267, 799, 3142, 609, 873, 1426, 630, 680, 23975, 264, 607, 1134, 607, 824, 1898, 5567, 602, 5512, 1272, 547, 8853, 269, 4495, 519, 11818, 568, 538, 1747, 267, 519, 3935, 5314, 1184, 786, 2253, 3592, 14678, 269, 634, 19509, 337, 560, 2855, 11040, 786, 581, 1958, 6412, 532, 2249, 971, 607, 28561, 8163, 543, 8685, 1168, 768, 338, 269, 634, 16793, 540, 891, 1814, 1562, 2244, 593, 519, 11818, 676, 4960, 282, 1310, 1373, 838, 1177, 2740, 267, 789, 554, 3558, 513, 11878, 593, 519, 14768, 543, 616, 25626, 2476, 547, 19509, 526, 513, 1007, 1753, 269, 3973, 2097, 519, 8652, 1749, 267, 5702, 4553, 676, 4262, 2712, 577, 1231, 543, 1085, 718, 3591, 269, 1306, 4763, 4679, 267, 865, 1281, 519, 8949, 1145, 540, 519, 11818, 585, 824, 11975, 267, 799, 616, 1287, 6537, 547, 519, 1858, 585, 1426, 269, 2991, 513, 1906, 1296, 267, 519, 11818, 786, 581, 16802, 532, 693, 519, 694, 4461, 609, 1272, 267, 799, 538, 2490, 24643, 811, 1007, 2855, 11040, 269, 6201, 540, 812, 13402, 18625, 1331, 3141, 5287, 8484, 19057, 267, 1148, 18810, 267, 13688, 543, 1256, 18189, 10651, 1141, 513, 1268, 779, 607, 1127, 666, 581, 1958, 1078, 538, 513, 2048, 872, 325, 3440, 685, 543, 9788, 547, 1964, 563, 5353, 26920, 14498, 1530, 26920, 338, 616, 14015, 10239, 602, 4473, 689, 519, 5836, 5236, 361, 480, 3233, 269, 1358, 2408, 2282, 29684, 6302, 610, 28326, 26105, 543, 616, 4646, 607, 23419, 694, 10134, 856, 540, 519, 3047, 543, 3579, 338, 538, 519, 1216, 547, 1106, 513, 598, 673, 2497, 269, 1879, 519, 7823, 4991, 1804, 2614, 621, 786, 21556, 519, 2627, 1107, 519, 22963, 10195, 4646, 713, 1259, 267, 585, 1383, 269, 1530, 26920, 338, 616, 522, 1162, 540, 1272, 538, 519, 1930, 5836, 607, 741, 598, 673, 3337, 2488, 513, 2922, 10093, 585, 2620, 5498, 320, 27712, 267, 29008, 525, 267, 17494, 267, 12933, 30702, 543, 19509, 3333, 269, 634, 7823, 865, 1513, 1164, 1055, 519, 26026, 539, 267, 865, 2178, 14768, 2196, 936, 621, 267, 3246, 28506, 2023, 585, 19509, 331, 614, 1922, 29623, 2249, 543, 5009, 519, 909, 16946, 540, 5567, 547, 1489, 5215, 540, 2831, 1107, 1082, 2189, 547, 891, 9249, 269, 12551, 616, 6537, 547, 713, 29667, 344, 540, 1426, 267, 543, 2933, 4482, 3677, 11975, 899, 16142, 543, 27966, 269, 1530, 26920, 338, 616, 849, 2219, 547, 581, 4044, 1049, 11226, 585, 4955, 7992, 5836, 17743, 619, 899, 16385, 563, 289, 2431, 14147, 2249, 2661, 538, 13719, 1216, 609, 7899, 540, 1769, 865, 1623, 25027, 18186, 2135, 656, 17850, 2801, 13479, 666, 3362, 6337, 9321, 1127, 1047, 563, 18439, 519, 2010, 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, 427, 375, 379, 634, 2290, 774, 532, 547, 1684, 585, 966, 26662, 538, 9119, 1923, 25085, 532, 4065, 692, 1012, 634, 570, 3072, 543, 6936, 6396, 585, 966, 26662, 538, 9119, 538, 5153, 676, 5153, 5489, 841, 692, 2252, 596, 3801, 547, 1039, 1927, 6152, 9424, 1510, 2921, 883, 7156, 741, 4287, 596, 786, 1205, 2164, 602, 616, 11234, 269, 901, 6152, 1840, 6516, 568, 513, 1434, 1383, 540, 713, 2186, 540, 3510, 269, 2142, 3222, 602, 519, 1931, 540, 519, 10974, 568, 2565, 780, 5194, 8748, 3364, 568, 891, 10321, 616, 782, 1305, 909, 543, 5423, 547, 1039, 269, 1924, 267, 1312, 10321, 616, 26667, 269, 1703, 616, 1079, 1797, 540, 14921, 1079, 10321, 1927, 780, 1103, 1840, 267, 3532, 2645, 11863, 596, 547, 1628, 5488, 543, 1732, 269, 589, 2990, 6152, 568, 5963, 513, 10058, 4990, 540, 12761, 6152, 269, 6271, 6152, 602, 814, 606, 9838, 3259, 568, 6152, 530, 855, 1586, 621, 568, 513, 1114, 4287, 865, 602, 621, 779, 513, 1114, 6152, 780, 1607, 4179, 2517, 1998, 523, 857, 659, 565, 5076, 12975, 11320, 335, 11305, 1087, 322, 7933, 665, 3701, 13478, 2217, 26855, 2163, 11073, 1467, 15005, 1576, 540, 2962, 568, 1572, 3339, 2358, 513, 6152, 269, 1280, 602, 2601, 267, 621, 779, 2838, 547, 5173, 873, 1369, 741, 6152, 1106, 269, 634, 4480, 3884, 1406, 10858, 585, 4946, 936, 1079, 10321, 610, 585, 4946, 10321, 602, 5749, 1406, 693, 476, 3445, 1673, 1122, 4181, 547, 835, 1776, 780, 1012, 966, 26662, 538, 9119, 543, 966, 26662, 538, 9119, 1107, 634, 17828, 10395, 1588, 692, 306, 1115, 543, 3252, 949, 849, 581, 2645, 585, 3695, 1114, 8677, 540, 31208, 885, 269, 4569, 23113, 4569, 568, 711, 1022, 1114, 269, 3690, 14127, 519, 4950, 3113, 1522, 1291, 547, 1978, 7965, 780, 5194, 813, 2280, 849, 12116, 519, 18232, 268, 22668, 4214, 540, 15364, 540, 3252, 538, 476, 272, 4756, 269, 3776, 2376, 1185, 476, 1015, 6810, 10223, 513, 7008, 540, 8906, 538, 1169, 2582, 3296, 269, 8249, 1677, 948, 596, 547, 1265, 519, 2200, 596, 616, 10478, 585, 267, 649, 4076, 9286, 873, 2687, 547, 12964, 4199, 2010, 780, 2005, 1223, 849, 581, 2322, 547, 946, 607, 513, 19480, 6149, 547, 4309, 513, 2212, 1376, 1354, 2921, 519, 6671, 11810, 1362, 269, 1452, 476, 274, 25066, 3252, 666, 581, 2322, 593, 519, 554, 32304, 1966, 607, 513, 1259, 547, 23754, 519, 4287, 540, 519, 554, 32304, 779, 538, 2489, 12761, 269, 589, 19444, 786, 3006, 3132, 519, 5470, 540, 12394, 547, 3132, 519, 8126, 1890, 2798, 1175, 899, 519, 1439, 9557, 540, 519, 17887, 540, 519, 31753, 267, 855, 789, 5749, 1406, 519, 3169, 1482, 607, 2938, 538, 519, 533, 269, 476, 1704, 4137, 780, 3086, 596, 666, 15069, 1174, 602, 519, 4287, 540, 519, 3196, 568, 4724, 519, 824, 1367, 269, 898, 779, 1419, 15164, 547, 3761, 513, 2343, 585, 1022, 1880, 6152, 2230, 538, 811, 982, 476, 272, 1259, 269, 5637, 3196, 543, 6991, 616, 538, 513, 1808, 4287, 780, 1012, 634, 23452, 10555, 540, 966, 26662, 538, 9119, 692, 309, 2752, 3631, 616, 5393, 1898, 538, 4207, 1859, 564, 7879, 269, 3509, 4682, 593, 547, 1683, 8918, 4114, 574, 725, 607, 606, 4244, 547, 23478, 519, 5730, 3029, 269, 13804, 3363, 538, 20569, 4016, 4481, 547, 519, 7274, 540, 3350, 6383, 676, 606, 13091, 780, 2005, 779, 7415, 875, 1454, 1344, 596, 616, 2111, 547, 4309, 689, 513, 6516, 269, 634, 29660, 9479, 666, 581, 1336, 538, 4223, 18350, 269, 1280, 1169, 2582, 29890, 1599, 971, 607, 5430, 267, 972, 779, 606, 11201, 1599, 602, 13333, 538, 9258, 780, 1012, 634, 966, 26662, 538, 9119, 10794, 692, 2691, 2679, 513, 14500, 267, 596, 1101, 1590, 1451, 875, 547, 1711, 513, 15839, 267, 543, 2899, 602, 779, 27058, 267, 596, 949, 946, 621, 547, 1711, 513, 3774, 269, 1284, 917, 602, 596, 2461, 10707, 513, 3845, 540, 476, 1626, 5998, 543, 649, 917, 799, 596, 2461, 16144, 5045, 269, 1284, 786, 2911, 827, 519, 12297, 1587, 1934, 780, 17798, 267, 649, 666, 1118, 2386, 602, 519, 4287, 540, 513, 1899, 568, 4105, 547, 4766, 621, 269, 700, 11229, 519, 3196, 4294, 547, 1169, 5832, 269, 570, 839, 832, 570, 839, 832, 616, 1346, 15629, 9424, 602, 723, 1585, 2418, 538, 1585, 8846, 693, 519, 3169, 1482, 1448, 780, 1012, 634, 674, 944, 16513, 966, 26662, 538, 9119, 15613, 692, 1607, 2022, 30242, 547, 6439, 1518, 713, 269, 4270, 267, 2394, 596, 991, 547, 12575, 1945, 4909, 3330, 707, 2599, 543, 1590, 29295, 3054, 593, 782, 540, 713, 1586, 256, 966, 26662, 616, 6964, 538, 2257, 547, 11963, 856, 8726, 814, 1312, 513, 4287, 543, 513, 9588, 780, 2005, 568, 2966, 547, 1205, 596, 909, 547, 15072, 538, 513, 1297, 540, 519, 4909, 4555, 543, 10035, 799, 786, 581, 1336, 538, 519, 811, 4359, 2620, 1565, 9499, 543, 1382, 4574, 269, 898, 779, 9157, 547, 17589, 4834, 14678, 267, 713, 1433, 666, 948, 596, 547, 6385, 6330, 547, 707, 9053, 1966, 543, 4194, 269, 1924, 952, 4250, 13004, 1287, 596, 723, 547, 1224, 713, 1433, 2899, 607, 621, 779, 1360, 1134, 9280, 585, 1028, 9285, 979, 26404, 780, 22746, 3156, 666, 4755, 538, 1022, 1858, 540, 1480, 20089, 269, 9442, 1983, 616, 606, 1898, 5057, 540, 6128, 2238, 269, 1403, 596, 2461, 5461, 538, 3450, 10026, 1153, 267, 3592, 782, 540, 707, 2838, 6030, 616, 2469, 547, 581, 538, 519, 2069, 8257, 780, 763, 1433, 949, 849, 581, 6964, 676, 20021, 547, 4983, 543, 29295, 741, 6310, 1983, 269, 634, 1576, 568, 2469, 547, 581, 9862, 547, 1053, 685, 13283, 543, 4170, 269, 898, 22316, 1053, 547, 4163, 856, 2596, 10855, 543, 1102, 22460, 8579, 9382, 609, 519, 5351, 540, 2780, 3301, 780, 1012, 5455, 538, 1488, 916, 6168, 966, 26662, 538, 9119, 2496, 10743, 786, 581, 4280, 547, 1711, 8579, 5359, 28388, 741, 8579, 2553, 543, 2164, 269, 6904, 1797, 621, 779, 513, 24892, 1565, 5690, 269, 898, 779, 606, 5393, 3407, 5578, 547, 3986, 707, 27132, 780, 2467, 616, 476, 1015, 1114, 5686, 540, 10321, 602, 616, 2356, 8246, 538, 13004, 543, 2257, 269, 1703, 616, 6266, 540, 4128, 585, 6010, 532, 11810, 269, 4475, 267, 1620, 519, 10206, 568, 1271, 547, 8011, 538, 6323, 780, 1012, 966, 26662, 538, 9119, 1107, 519, 3117, 335, 16820, 692, 763, 824, 1797, 540, 1114, 11868, 1312, 540, 891, 9424, 568, 676, 1818, 946, 540, 513, 10035, 269, 898, 779, 849, 4502, 15663, 602, 513, 11186, 3830, 949, 711, 2270, 606, 7164, 1599, 267, 513, 1297, 540, 922, 16755, 543, 11613, 1863, 4632, 31049, 267, 855, 18562, 267, 621, 1590, 2270, 513, 1295, 636, 636, 540, 835, 4756, 269, 634, 6169, 568, 12863, 585, 519, 2013, 602, 519, 12730, 5749, 1406, 2941, 17427, 541, 780, 4407, 972, 779, 513, 12497, 11984, 1063, 1863, 10321, 543, 2990, 10321, 621, 779, 2009, 547, 946, 1312, 2010, 30430, 855, 713, 1522, 1267, 538, 10539, 952, 649, 5749, 1406, 2312, 538, 14621, 547, 519, 8847, 269, 589, 16023, 540, 6152, 5624, 602, 666, 581, 3362, 15763, 568, 602, 621, 949, 31391, 3592, 3388, 269, 15380, 267, 538, 519, 3236, 540, 513, 14465, 778, 2230, 1256, 519, 4527, 540, 1875, 2389, 337, 20190, 630, 514, 824, 1913, 267, 1875, 25179, 264, 5276, 1599, 1023, 568, 513, 2352, 2243, 269, 0, 271, 454, 274, 269, 279, 330, 1613, 338, 454, 288, 6094, 6676, 568, 3001, 538, 1869, 5790, 2011, 693, 513, 6991, 540, 476, 276, 332, 4882, 780, 288, 6094, 6676, 568, 3001, 538, 1869, 5790, 2011, 693, 513, 6991, 540, 476, 276, 332, 4882, 269, 634, 3259, 540, 519, 6676, 568, 476, 271, 269, 277, 332, 543, 8700, 476, 271, 269, 276, 332, 780, 24280, 23241, 272, 269, 774, 32169, 540, 21940, 776, 23771, 693, 519, 1439, 540, 519, 6676, 692, 273, 269, 28463, 3196, 593, 835, 2427, 540, 519, 6676, 780, 12648, 5860, 540, 2011, 1269, 272, 269, 2190, 4846, 8276, 317, 274, 259, 543, 10252, 26517, 25297, 476, 271, 269, 1428, 588, 10280, 780, 271, 454, 3607, 274, 1613, 338, 692, 11405, 23241, 11693, 23241, 309, 601, 6290, 540, 6676, 267, 4399, 15153, 579, 284, 276, 1422, 9507, 346, 349, 332, 348, 1315, 1422, 9507, 346, 338, 10592, 21920, 540, 6676, 267, 4399, 15153, 700, 284, 271, 269, 277, 1422, 9507, 346, 349, 332, 10592, 310, 5954, 540, 6676, 267, 4399, 15153, 536, 284, 271, 269, 276, 1422, 9507, 346, 349, 332, 10592, 291, 3748, 540, 2011, 267, 4399, 15153, 533, 284, 272, 269, 2190, 1422, 9507, 346, 349, 11899, 348, 1315, 1422, 9507, 31551, 8703, 274, 10592, 298, 514, 26517, 25297, 267, 4399, 15153, 642, 284, 271, 269, 1428, 259, 588, 10280, 692, 259, 284, 271, 269, 1428, 1422, 9392, 476, 1015, 13064, 275, 348, 1422, 9507, 346, 349, 332, 8703, 273, 348, 1315, 1422, 9507, 346, 338, 10592, 3725, 2106, 1245, 1297, 10484, 17961, 25410, 348, 1422, 15153, 681, 3709, 324, 31905, 7807, 2765, 346, 340, 700, 2410, 346, 341, 3686, 7807, 2765, 346, 276, 1422, 9392, 476, 271, 269, 277, 2410, 271, 269, 1428, 1422, 9392, 476, 1015, 13064, 275, 3686, 11138, 17851, 1220, 1822, 1422, 754, 25410, 348, 780, 2026, 1269, 305, 21223, 259, 568, 1447, 982, 1269, 276, 1422, 9392, 476, 1015, 3867, 276, 20954, 8754, 10465, 4494, 568, 22495, 541, 936, 519, 3003, 3259, 540, 519, 6676, 780, 9217, 264, 774, 32169, 540, 10465, 4494, 693, 519, 1439, 540, 519, 6676, 676, 2349, 553, 3780, 781, 3070, 568, 692, 17961, 25410, 348, 1422, 23169, 31386, 2765, 346, 275, 269, 11011, 1535, 7346, 6912, 23334, 3709, 324, 3709, 343, 3686, 3686, 1299, 7807, 2765, 346, 275, 269, 11011, 700, 7346, 6912, 23334, 3709, 324, 3709, 272, 3686, 3686, 11138, 1299, 7807, 2765, 346, 275, 269, 11011, 1422, 9392, 476, 271, 269, 277, 7346, 6912, 346, 1220, 1822, 3686, 11138, 17851, 271, 269, 24879, 6812, 2715, 349, 332, 27874, 17851, 277, 269, 6812, 2715, 349, 7825, 348, 1422, 754, 25410, 10926, 23870, 264, 28463, 3196, 593, 835, 2427, 540, 519, 6676, 568, 2016, 676, 3830, 607, 692, 17961, 25410, 348, 595, 3709, 291, 348, 1299, 7807, 2765, 346, 293, 3709, 291, 24828, 2765, 346, 272, 2410, 273, 348, 1422, 24838, 589, 579, 3867, 273, 3686, 8607, 674, 3709, 291, 348, 1299, 7807, 2765, 346, 272, 2410, 273, 348, 1422, 24838, 589, 579, 3867, 273, 348, 1422, 9392, 595, 3709, 291, 348, 1422, 754, 25410, 10926, 3602, 1269, 290, 3709, 291, 4151, 689, 2349, 553, 3780, 781, 3070, 10484, 17961, 2715, 7955, 539, 348, 290, 3709, 291, 18098, 2765, 346, 272, 269, 29044, 7346, 6912, 23334, 3709, 324, 3686, 31905, 7807, 2765, 346, 272, 269, 29044, 7346, 6912, 346, 1220, 1822, 3686, 11138, 17851, 271, 269, 16573, 280, 7597, 11138, 17851, 271, 269, 16573, 9032, 1422, 754, 25410, 10926, 17961, 25410, 348, 674, 3709, 291, 348, 1299, 7807, 2765, 346, 272, 2410, 273, 348, 1422, 9392, 476, 272, 269, 2190, 1422, 9392, 476, 271, 269, 277, 1422, 9392, 476, 271, 269, 276, 1422, 9392, 476, 276, 3867, 273, 348, 1422, 9392, 476, 271, 269, 16573, 9032, 8607, 17851, 271, 269, 25320, 10463, 1422, 754, 25410, 10926, 7445, 15153, 315, 3189, 20357, 589, 284, 299, 1422, 9392, 536, 284, 271, 269, 277, 1422, 9392, 476, 271, 269, 276, 315, 4151, 0, 258, 12430, 22953, 23990, 692, 30791, 9695, 568, 811, 982, 476, 1220, 1296, 2025, 5690, 568, 1031, 585, 17782, 3601, 609, 513, 2866, 1239, 1305, 780, 1103, 713, 5816, 649, 786, 1451, 692, 1432, 568, 5276, 9695, 454, 24280, 8579, 9424, 689, 513, 2866, 1239, 1305, 563, 24280, 5276, 9695, 14170, 689, 513, 1239, 1305, 563, 13014, 11236, 1210, 5276, 9695, 563, 8196, 28189, 5399, 547, 1118, 11236, 609, 5276, 9695, 692, 2162, 12430, 22953, 692, 26594, 5276, 9695, 568, 513, 2786, 1899, 3830, 1063, 4830, 543, 8200, 4632, 269, 2334, 2786, 3830, 568, 692, 2080, 267, 586, 568, 513, 8200, 4756, 593, 1535, 630, 534, 4830, 4756, 1040, 1284, 786, 991, 547, 7447, 9386, 543, 519, 586, 18448, 689, 519, 2866, 1239, 1305, 543, 2899, 649, 1205, 891, 14170, 649, 666, 946, 713, 3830, 1022, 1871, 585, 586, 2016, 1535, 607, 3403, 269, 1809, 1946, 713, 2786, 1899, 3830, 2496, 22428, 602, 649, 723, 713, 1239, 585, 519, 829, 21027, 4747, 540, 519, 2475, 263, 514, 9489, 264, 585, 519, 1296, 476, 3192, 271, 547, 476, 1001, 277, 780, 296, 786, 2099 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 842, 9191, 1345, 2187, 453, 16596, 476, 272, 952, 1582, 23357, 335, 3436, 476, 271, 3116, 910, 272, 692, 514, 335, 815, 2415, 341, 314, 272, 6540, 322, 2396, 25292, 815, 11426, 13911, 263, 514, 335, 2020, 529, 12148, 7775, 16178, 815, 536, 944, 6262, 2396, 25292, 994, 2745, 263, 529, 12148, 7775, 16178, 994, 3097, 11415, 815, 1193, 6262, 2396, 25292, 994, 2745, 30415, 2020, 15759, 518, 815, 703, 6262, 2396, 25292, 994, 2745, 263, 15759, 518, 994, 0, 5814, 1770, 11687, 454, 5228, 6305, 5332, 13246, 1104, 568, 318, 18905, 20311, 692, 5035, 4530, 28269, 17653, 1807, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 8931, 825, 1219, 1305, 10000, 4311, 2187, 1038, 1582, 6745, 652, 272, 815, 568, 318, 18905, 20311, 8987, 272, 994, 1038, 1582, 6745, 652, 273, 815, 568, 318, 18905, 20311, 263, 272, 994, 1038, 1582, 6745, 652, 274, 815, 568, 318, 18905, 20311, 263, 11793, 277, 4097, 271, 6078, 278, 5392, 14378, 4962, 280, 6812, 272, 3393, 278, 21327, 280, 994, 1038, 1582, 6745, 652, 275, 815, 568, 318, 18905, 20311, 263, 11793, 6924, 994, 1038, 1582, 6745, 652, 276, 815, 568, 318, 18905, 20311, 263, 276, 994, 1038, 1582, 6745, 652, 277, 815, 568, 318, 18905, 20311, 2891, 24742, 5602, 8931, 825, 1219, 1449, 20311, 318, 1652, 318, 22474, 318, 14706, 318, 2254, 318, 18905, 4311, 2187, 453, 19677, 20596, 16178, 4311, 6745, 652, 272, 994, 27030, 825, 1219, 1449, 318, 272, 318, 553, 19963, 318, 18905, 4311, 2187, 1038, 1582, 20596, 16178, 4311, 6745, 652, 273, 994, 13872, 825, 1219, 1449, 8548, 817, 633, 20311, 318, 529, 318, 18905, 4311, 2187, 453, 19677, 20596, 12148, 4311, 6745, 652, 274, 994, 13872, 825, 1219, 1449, 318, 276, 318, 529, 318, 18905, 4311, 2187, 453, 19677, 20596, 12148, 4311, 6745, 652, 276, 994, 13872, 672, 1219, 1449, 8548, 817, 633, 318, 16838, 20311, 318, 529, 318, 2254, 318, 18905, 4311, 2187, 453, 19677, 20596, 12148, 4311, 6745, 652, 275, 994, 13872, 825, 1219, 1449, 18425, 20777, 25292, 23952, 4311, 2187, 1038, 1582, 20596, 12148, 4311, 6745, 652, 277, 994, 13872, 1363, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1770, 11687, 6230, 664, 4590, 1363, 692, 672, 3097, 13872, 672, 7531, 13872, 13872, 13872, 1363 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 519, 3162, 3624, 7256, 543, 538, 3210, 6115, 1932, 786, 11766, 476, 2568, 260, 540, 922, 10617, 4721, 538, 519, 5607, 6261, 6680, 3148, 563, 17606, 779, 1164, 942, 18825, 5143, 7330, 547, 2247, 922, 1870, 5608, 1767, 3220, 269, 589, 9545, 785, 962, 601, 2044, 267, 513, 4759, 540, 20710, 3101, 8315, 267, 513, 1589, 7382, 602, 6212, 593, 3127, 16644, 2088, 3347, 543, 8591, 968, 763, 5948, 540, 3162, 5101, 7489, 8315, 630, 17955, 3198, 264, 1058, 1491, 519, 11036, 547, 1205, 782, 519, 3238, 2477, 1927, 543, 4194, 519, 3390, 267, 519, 7330, 814, 1100, 1870, 7679, 1359, 3034, 17955, 3198, 568, 29285, 3843, 547, 7017, 782, 519, 15180, 16857, 6811, 269, 769, 513, 5870, 4371, 538, 1912, 333, 558, 6755, 327, 538, 5147, 267, 476, 1001, 273, 267, 25591, 267, 799, 779, 3624, 779, 24343, 267, 14578, 15189, 547, 6318, 519, 3390, 1282, 519, 6789, 292, 3198, 5870, 607, 1134, 607, 519, 6789, 292, 3198, 13636, 17072, 269, 1809, 2687, 547, 3624, 267, 6789, 292, 3198, 779, 5821, 547, 3858, 593, 513, 3009, 540, 2932, 936, 519, 17535, 15539, 729, 3361, 676, 5375, 4690, 685, 630, 1348, 7330, 264, 968, 4364, 323, 1782, 892, 2966, 547, 968, 8243, 792, 3624, 779, 2318, 1909, 538, 4509, 519, 9322, 540, 519, 6237, 1025, 665, 3034, 763, 3162, 3624, 7256, 568, 5045, 540, 22163, 3624, 543, 513, 851, 540, 519, 7414, 7909, 267, 21214, 606, 1858, 540, 1472, 476, 3374, 267, 876, 267, 1822, 13483, 5998, 269, 898, 779, 536, 23912, 676, 930, 540, 519, 1158, 779, 1034, 6385, 3384, 2477, 543, 835, 3791, 540, 519, 1158, 779, 11288, 1098, 1080, 998, 922, 7297, 267, 811, 982, 3368, 519, 9522, 333, 720, 540, 3282, 16487, 676, 4262, 10596, 998, 621, 269, 898, 779, 849, 513, 3407, 23789, 585, 2067, 2200, 543, 1185, 5458, 3282, 543, 3154, 14425, 9944, 922, 26026, 539, 267, 519, 2601, 585, 2475, 1719, 563, 763, 5855, 267, 2705, 267, 568, 602, 513, 1507, 12161, 610, 513, 3765, 20412, 566, 1223, 9594, 513, 30925, 269, 634, 3162, 3624, 1530, 553, 666, 1831, 513, 1761, 8755, 4812, 538, 519, 3162, 5101, 7489, 3148, 607, 3624, 5170, 547, 911, 332, 921, 593, 519, 21260, 2477, 563, 763, 991, 540, 519, 5662, 568, 547, 1577, 6789, 292, 3198, 2097, 883, 519, 4605, 543, 4194, 519, 3390, 676, 8066, 24845, 12909, 563, 933, 642, 2884, 17592, 798, 711, 3972, 610, 2463, 11648, 19580, 2479, 2073, 865, 538, 519, 2013, 540, 22743, 12717, 9215, 16658, 12487, 11123, 744, 7838, 590, 10976, 16730, 5456, 18199, 312, 1287, 649, 581, 6126, 2073, 4712, 543, 9244, 547, 5225, 519, 645, 8085, 14877, 5058, 19580, 2073, 855, 649, 798, 711, 9153, 1018, 19580, 786, 6492, 689, 519, 2112, 609, 721, 568, 1547, 561, 565, 4586, 933, 642, 28126, 16153, 602, 649, 678, 1454, 4130, 543, 21260, 2073, 855, 693, 2112, 649, 678, 2141, 8746, 602, 649, 1058, 536, 543, 964, 5703, 519, 4487, 540, 19580, 1547, 538, 1249, 2433, 649, 5385, 519, 2661, 540, 10136, 609, 19580, 676, 476, 272, 270, 1015, 1034, 540, 2053, 2073, 865, 586, 1590, 642, 28126, 29057, 19580, 585, 7790, 642, 28126, 1004, 2141, 1589, 19580, 568, 17399, 656, 693, 2112, 454, 25748, 267, 2229, 22306, 4457, 2923, 941, 10912, 585, 4108, 2962, 1996, 519, 13372, 585, 7555, 1996, 4457, 31593, 883, 25753, 28386, 1744, 334, 531, 563, 2005, 729, 711, 16613, 585, 772, 2529, 269, 2011, 920, 9749, 689, 741, 5449, 2011, 13279, 538, 4427, 545, 25220, 12476, 543, 18412, 5794, 12476, 538, 519, 13372, 547, 946, 25753, 28386, 1744, 334, 531, 607, 513, 968, 325, 3931, 2039, 2223, 2094, 789, 941, 1175, 827, 476, 1911, 5195, 2476, 563, 2252, 3624, 267, 799, 568, 3592, 476, 4335, 5195, 2476, 267, 1185, 513, 4570, 3409, 547, 25753, 28386, 1744, 334, 531, 1259, 1394, 1287, 267, 789, 1705, 4986, 547, 2119, 547, 3247, 519, 772, 2529, 269, 689, 1449, 20590, 741, 31139, 338, 936, 1018, 789, 5693, 5156, 941, 27000, 8513, 563, 3086, 267, 1310, 5756, 540, 4324, 1154, 689, 17542, 540, 772, 2529, 269, 9489, 538, 1870, 9541, 267, 3624, 627, 2354, 856, 8536, 4458, 2025, 7851, 547, 1118, 9735, 6811, 602, 782, 540, 519, 3162, 3624, 7256, 568, 741, 338, 563, 2252, 713, 568, 519, 2186, 540, 8373, 602, 606, 17215, 25133, 3624, 666, 3142, 267, 1287, 621, 949, 581, 1655, 547, 6999, 602, 519, 4457, 4346, 4682, 1394, 547, 875, 791, 1478, 1639, 621, 729, 538, 519, 476, 3422, 271, 338, 543, 476, 3583, 338, 865, 602, 972, 786, 581, 1454, 1454, 1447, 3463, 540, 8373, 563, 10144, 1472, 519, 1158, 666, 948, 513, 3200, 2417, 4457, 14699, 676, 9319, 9140, 2472, 1500, 538, 519, 11553, 290, 607, 1454, 607, 789, 666, 269, 898, 949, 3100, 3592, 7543, 547, 2057, 9140, 4457, 13402, 2472, 1813, 547, 741, 18451, 18709, 269, 1717, 267, 519, 4674, 949, 581, 4502, 621, 607, 1169, 13362, 602, 568, 6170, 593, 4457, 13402, 2472, 1152, 3565, 547, 811, 4457, 4439, 7410, 267, 28862, 267, 17177, 1499, 543, 10617, 4721, 547, 21279, 4130, 6082, 602, 949, 8749, 519, 2475, 883, 513, 30925, 609, 3624, 563, 9336, 4457, 13402, 1587, 649, 666, 2057, 9140, 568, 28330, 547, 546, 617, 3101, 513, 4457, 13402, 16886, 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 ]
[ 1455, 5951, 13257, 1031, 538, 3280, 10282, 616, 20534, 6329, 267, 4009, 6329, 267, 4718, 1729, 1054, 6329, 267, 543, 6906, 6329, 269, 1452, 2596, 2679, 7161, 666, 1287, 581, 5916, 21176, 547, 3132, 1950, 4992, 899, 1346, 1336, 538, 2575, 267, 8874, 267, 610, 1256, 11608, 899, 918, 268, 280, 2439, 265, 7078, 17041, 1403, 596, 1616, 547, 5352, 513, 2915, 13626, 3280, 267, 596, 1223, 9192, 2789, 5951, 13257, 971, 607, 513, 2110, 16802, 540, 1164, 4908, 630, 13678, 1791, 547, 513, 20534, 5951, 1070, 4553, 676, 2539, 12451, 23401, 513, 1332, 331, 630, 6748, 513, 4009, 610, 4718, 1729, 1054, 5951, 1040, 1635, 14577, 519, 3259, 267, 12334, 267, 543, 4320, 540, 1142, 5057, 267, 596, 786, 1205, 6251, 547, 973, 11661, 513, 10853, 13626, 780, 1262, 4089, 476, 273, 281, 7913, 28686, 14409, 630, 9169, 303, 21143, 3086, 602, 649, 917, 827, 5951, 13257, 1577, 781, 1294, 875, 5904, 13861, 873, 1210, 3059, 5365, 4393, 2553, 269, 667, 9915, 9388, 609, 6786, 6719, 25274, 24568, 938, 2013, 267, 8301, 6786, 11652, 32290, 741, 3601, 998, 6310, 9273, 269, 1284, 666, 1689, 3344, 899, 17931, 630, 14179, 2541, 1070, 4908, 630, 335, 3558, 1070, 543, 5123, 630, 339, 574, 532, 2078, 1851, 3334, 6393, 265, 12244, 15846, 4635, 1863, 2228, 2645, 610, 8924, 2966, 585, 3214, 267, 4603, 609, 19249, 1114, 6724, 540, 30966, 5951, 13257, 547, 5873, 875, 789, 1860, 519, 3803, 3977, 269, 1280, 1383, 267, 2119, 2810, 519, 17931, 1793, 3187, 547, 6318, 519, 4320, 610, 22212, 519, 4908, 547, 6521, 519, 12334, 2362, 610, 2539, 780, 1262, 4089, 476, 274, 281, 5410, 1438, 5288, 16265, 847, 633, 31349, 4373, 2467, 616, 1079, 1292, 4485, 950, 621, 2501, 547, 9256, 5951, 13257, 281, 19605, 543, 10208, 633, 10282, 780, 265, 11754, 1438, 10282, 265, 3322, 4946, 1896, 6986, 18565, 630, 13678, 921, 20534, 6329, 264, 693, 1808, 12451, 543, 7586, 6421, 547, 1106, 811, 6946, 4992, 269, 6056, 1394, 547, 938, 2915, 13626, 1383, 1141, 649, 30305, 1585, 5951, 845, 2010, 543, 8486, 2583, 780, 265, 8138, 339, 847, 633, 10282, 24682, 593, 519, 824, 1688, 267, 6238, 609, 513, 21950, 5951, 845, 5627, 1082, 2800, 9582, 630, 20123, 2118, 12451, 9648, 8195, 264, 543, 12086, 856, 13311, 2609, 2394, 1152, 5551, 2694, 2611, 269, 1323, 21658, 1131, 581, 9380, 532, 513, 3337, 689, 513, 4396, 3625, 540, 1570, 676, 9427, 4430, 4773, 780, 265, 19865, 15846, 19415, 547, 5439, 540, 1312, 19605, 543, 10208, 633, 10282, 2409, 269, 2052, 596, 2697, 1022, 3604, 538, 4626, 3691, 630, 339, 821, 2298, 21663, 9181, 1018, 1522, 581, 8345, 3297, 519, 10207, 3823, 5951, 845, 10659, 780, 1262, 4089, 476, 275, 281, 10241, 540, 14675, 31349, 4373, 306, 9321, 1127, 1944, 4992, 814, 3875, 3156, 2066, 6080, 1384, 265, 11473, 3014, 1646, 281, 10794, 9858, 946, 3280, 10282, 547, 4739, 15138, 17391, 5054, 543, 3982, 1915, 9739, 563, 265, 8535, 2504, 281, 4053, 5974, 2308, 3280, 10282, 2553, 547, 17492, 5499, 13475, 267, 4494, 7405, 267, 543, 12189, 4938, 1023, 563, 265, 17912, 543, 14318, 281, 14675, 9858, 7048, 593, 3280, 10282, 547, 5352, 20310, 4992, 7870, 267, 4282, 21089, 267, 543, 2027, 1198, 4992, 780, 3528, 1631, 267, 596, 1590, 5660, 519, 6909, 1761, 543, 17545, 6035, 676, 3280, 10282, 256, 1306, 2029, 8441, 267, 865, 1932, 798, 3255, 585, 3860, 4082, 543, 1966, 6061, 1369, 713, 9159, 2361, 269, 5808, 6487, 32503, 1522, 1175, 1831, 519, 1985, 22082, 11319, 6302, 538, 2780, 24378, 8301, 2833, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 7072, 281, 918, 268, 280, 476, 273, 269, 271, 269, 31923, 2552, 9776, 543, 32534, 31584, 13928, 563, 1103, 1900, 476, 2420, 267, 594, 723, 11540, 606, 9337, 267, 7713, 930, 2487, 2242, 270, 574, 2889, 557, 906, 602, 594, 723, 1500, 267, 5631, 547, 918, 268, 280, 781, 5122, 1062, 543, 9300, 5044, 799, 596, 949, 1265, 3730, 563, 268, 853, 6324, 344, 11308, 630, 300, 5263, 264, 543, 28778, 1374, 454, 268, 27975, 569, 31110, 19485, 6417, 1210, 519, 661, 313, 7304, 984, 582, 661, 313, 5174, 642, 275, 17120, 543, 661, 313, 5174, 4265, 518, 3301, 3760, 454, 268, 9509, 5397, 3350, 267, 4464, 267, 9258, 267, 2490, 2451, 267, 2490, 1318, 454, 268, 3828, 514, 476, 1789, 342, 476, 1321, 341, 5397, 16546, 609, 31668, 14743, 543, 12285, 1119, 637, 454, 268, 24581, 10279, 1425, 334, 543, 12946, 23376, 1062, 454, 268, 13038, 1852, 3681, 1519, 2483, 268, 27975, 569, 31923, 6417, 966, 807, 15291, 267, 16979, 7193, 610, 16335, 454, 268, 476, 274, 294, 270, 275, 294, 700, 15288, 6417, 3842, 12829, 7483, 454, 268, 20429, 267, 11132, 267, 7990, 267, 9848, 874, 6284, 6417, 454, 268, 15585, 908, 24318, 21319, 3845, 270, 21084, 9300, 547, 948, 1852, 14628, 3350, 454, 268, 16594, 13754, 6500, 602, 2636, 11913, 2792, 454, 268, 27975, 569, 16419, 30292, 1982, 547, 1450, 6422, 6643, 1063, 918, 268, 280, 543, 3425, 454, 268, 11638, 2173, 913, 618, 2212, 267, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 895, 31349, 257, 607, 851, 540, 834, 28035, 1315, 5071, 267, 29093, 1299, 9012, 1315, 23866, 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, 1015, 281, 1133, 16225, 532, 3778, 998, 28645, 631, 4106, 7559, 11814, 17156, 692, 5970, 596, 2479, 9289, 1018, 621, 1131, 581, 899, 547, 3180, 513, 4062, 540, 1686, 538, 707, 3946, 286, 1677, 1378, 1945, 602, 729, 2899, 1031, 1282, 513, 942, 540, 2112, 610, 4655, 267, 5310, 1256, 20109, 676, 2576, 4583, 610, 1271, 286, 901, 3184, 786, 6338, 596, 547, 519, 4241, 1158, 540, 18229, 17740, 7559, 2445, 17156, 1107, 3688, 1644, 547, 4108, 8484, 543, 8184, 602, 1004, 2445, 543, 1353, 269, 3245, 3983, 2471, 543, 1199, 1023, 547, 2203, 14742, 543, 11147, 267, 891, 3615, 666, 2995, 721, 2984, 827, 519, 2250, 543, 2285, 721, 5813, 883, 1114, 2053, 543, 4025, 780, 5575, 267, 1577, 781, 1376, 609, 930, 2596, 2474, 269, 834, 300, 4106, 7559, 257, 4016, 547, 1022, 1843, 2404, 609, 4108, 4229, 267, 1247, 834, 822, 2747, 257, 12211, 4481, 547, 27858, 543, 10760, 269, 32027, 1346, 1079, 1913, 1927, 3947, 721, 834, 822, 2747, 17740, 7559, 2437, 799, 2882, 1919, 899, 26977, 267, 1202, 793, 807, 630, 32188, 338, 1070, 6054, 267, 9604, 267, 543, 3937, 4448, 547, 4108, 18229, 269, 1452, 2445, 1043, 3688, 616, 1419, 8179, 1310, 1317, 789, 1683, 3140, 2796, 267, 29428, 1713, 2621, 610, 2043, 267, 610, 3274, 533, 1664, 835, 781, 7279, 827, 519, 4720, 540, 4108, 2029, 543, 1374, 780, 4131, 781, 2263, 930, 2442, 2010, 540, 18229, 17740, 7559, 2445, 17156, 1644, 547, 4108, 1686, 1384, 272, 269, 2878, 11900, 793, 5362, 543, 4793, 2583, 4995, 15815, 1824, 543, 12284, 2818, 20595, 10058, 15649, 543, 900, 21793, 593, 741, 26977, 8204, 1585, 4559, 267, 27805, 6425, 267, 610, 13485, 269, 1280, 1383, 267, 606, 23914, 804, 583, 4221, 17500, 31211, 1522, 24901, 15376, 538, 513, 1880, 25142, 27805, 1258, 1634, 585, 922, 3432, 543, 22231, 269, 1635, 10655, 891, 1202, 793, 5362, 267, 649, 666, 1451, 811, 827, 1808, 2516, 1369, 519, 4108, 543, 1174, 875, 789, 4857, 2933, 563, 273, 269, 2878, 8469, 1023, 543, 22952, 4995, 22307, 4536, 4607, 23598, 585, 22838, 267, 3028, 267, 610, 9740, 269, 2368, 1455, 17758, 1331, 519, 31692, 1639, 674, 2391, 9061, 267, 5794, 29274, 267, 543, 31947, 9839, 269, 3962, 30407, 2501, 609, 922, 1378, 2189, 1650, 543, 7355, 585, 8391, 621, 269, 1879, 4974, 891, 4773, 267, 12206, 2744, 3407, 1344, 827, 1367, 6411, 540, 5869, 1143, 543, 15093, 1282, 29053, 563, 274, 269, 2878, 21900, 21106, 4995, 7353, 21106, 2709, 513, 19214, 883, 1272, 1282, 29053, 267, 6029, 3388, 689, 2866, 5751, 547, 8396, 10207, 269, 1358, 949, 6813, 21804, 30286, 1985, 547, 741, 8484, 267, 2666, 1212, 9749, 2324, 29367, 3297, 519, 10207, 267, 610, 10565, 2915, 325, 2074, 1164, 1657, 519, 3618, 269, 24167, 891, 2592, 2337, 3173, 5660, 519, 2175, 896, 799, 1425, 545, 655, 20047, 5030, 543, 5249, 563, 275, 269, 2878, 26329, 4643, 525, 4995, 2755, 711, 4890, 3140, 13742, 267, 2203, 18187, 553, 1450, 12439, 547, 23507, 519, 1374, 543, 23477, 540, 11599, 4108, 8484, 269, 8490, 543, 18071, 3631, 666, 8141, 7391, 827, 4702, 10124, 543, 6639, 7760, 2429, 1686, 563, 276, 269, 2878, 4462, 6134, 338, 543, 16811, 4995, 22731, 7802, 543, 10591, 1031, 676, 21804, 543, 12284, 332, 20047, 666, 7866, 1454, 827, 3232, 13467, 267, 7584, 3889, 267, 543, 2242, 936, 942, 269, 5994, 9236, 513, 2622, 2782, 594, 16463, 24743, 547, 513, 2413, 6377, 12681, 781, 2212, 613, 541, 2439, 2026, 596, 2253, 3695, 713, 9159, 15908, 267, 3314, 602, 5683, 10655, 2853, 616, 2629, 269, 11408, 2327, 602, 519, 3688, 596, 10536, 723, 1044, 5833, 16155, 543, 31635, 269, 3958, 267, 2015, 5885, 3906, 6131, 547, 8497, 18229, 17740, 7559, 865, 2104, 5481, 666, 3136, 1565, 689, 891, 10475, 3140, 16782, 780, 3528, 18167, 883, 519, 1158, 540, 18229, 17740, 7559, 2445, 17156, 267, 1647, 1153, 1053, 666, 1020, 513, 4514, 7071, 585, 4108, 1686, 543, 519, 12703, 2367, 543, 2021, 945, 8032, 621, 269, 8414, 10122, 267, 543, 2972, 12423, 519, 2984, 6456, 1369, 1142, 19644, 31074, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 291, 889, 4802, 267, 25212, 267, 8581, 454, 2304, 320, 1695, 24048, 568, 513, 2575, 1153, 602, 11414, 4095, 2961, 333, 1738, 8106, 2575, 2228, 543, 849, 3370, 960, 9248, 543, 824, 2027, 3332, 585, 519, 1732, 1620, 540, 2961, 333, 1738, 2575, 563, 312, 965, 531, 267, 595, 1251, 267, 8581, 454, 10111, 14141, 523, 7734, 281, 589, 11285, 4686, 1433, 22673, 5356, 513, 2647, 5542, 540, 1007, 543, 1031, 2835, 593, 3309, 3584, 971, 607, 1148, 267, 7762, 1415, 267, 1884, 2294, 267, 2445, 17156, 267, 3332, 267, 1965, 582, 20143, 267, 4108, 543, 4677, 1686, 269, 2060, 513, 6612, 585, 27126, 2182, 3562, 1922, 785, 543, 4686, 2835, 269, 1284, 10950, 782, 28780, 689, 1433, 18798, 5275, 2189, 543, 16613, 10643, 563, 28846, 966, 643, 1014, 3203, 1299, 4165, 2294, 849, 814, 513, 15839, 7146, 2173, 677, 541, 4558, 256, 16731, 873, 538, 912, 305, 1601, 8364, 25053, 267, 595, 1251, 267, 8581, 454, 763, 3883, 590, 1117, 20155, 910, 1930, 10732, 547, 11016, 676, 13393, 269, 4165, 2294, 267, 5961, 543, 2034, 1688, 543, 4686, 2835, 2523, 593, 519, 6575, 267, 1686, 267, 12092, 267, 2951, 267, 24972, 22450, 543, 6965, 454, 29409, 940, 2023, 267, 2725, 987, 267, 8581, 454, 2419, 4069, 9248, 568, 513, 1920, 2196, 2228, 21869, 648, 6131, 547, 3246, 596, 267, 938, 6075, 267, 609, 5402, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 4888, 2316, 27309, 1299, 23333, 28421, 2316, 13993, 2464, 1315, 23527, 1299, 21771, 1315, 13639, 1315, 28645, 631, 4106, 7559, 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, 4495, 2390, 513, 942, 267, 538, 513, 2244, 4904, 609, 9059, 543, 4898, 267, 972, 729, 513, 1762, 13442, 3957, 918, 5942, 269, 918, 5942, 729, 1175, 899, 1022, 824, 13442, 538, 519, 8498, 1107, 8049, 267, 22488, 267, 543, 2141, 11235, 547, 1451, 1007, 1919, 269, 1809, 3006, 267, 918, 5942, 5433, 18516, 540, 9887, 543, 4769, 1406, 3494, 1352 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 424, 366, 360, 424, 356, 372, 10563, 353, 482, 29306, 494, 32629, 498, 14091, 367, 482, 476, 272, 32174, 506, 267, 14091, 495, 502, 424, 356, 372, 10563, 353, 482, 29306, 494, 32629, 498, 14091, 367, 482, 476, 273, 32174, 506, 267, 715, 423, 366, 486, 424, 356, 372, 10563, 353, 482, 29306, 494, 32629, 498, 14091, 367, 482, 715, 32174, 506, 423, 354, 376, 10563, 364, 491, 32629, 498, 14091, 361, 372, 32510, 506, 454, 258, 17432, 502, 424, 356, 478, 423, 356, 490, 267, 10563, 502, 353, 423, 354, 372, 424, 359, 377, 14602, 482, 21844, 372, 364, 424, 353, 478, 424, 506, 376, 423, 350, 506, 10563, 510, 499, 423, 510, 361, 17432, 506, 14091, 367, 482, 263, 424, 502, 486, 32510, 506, 10563, 364, 372, 422, 367, 510, 264, 14602, 482, 10563, 370, 506, 423, 510, 354, 17432, 502, 424, 489, 506, 424, 502, 353, 780, 28588, 815, 703, 9272, 31156, 1721, 1775, 538, 2039, 263, 272, 267, 28588, 266, 272, 2187, 825, 952, 5182, 25829, 2652, 476, 271, 912, 1038, 1820, 3488, 265, 262, 265, 328, 994, 1038, 2736, 454, 825, 1820, 3488, 1412, 16732, 28588, 25829, 268, 272, 1070, 262, 265, 262, 265, 328, 264, 0, 258, 300, 1695, 548, 520, 17718, 534, 655, 926, 600, 1477, 258, 1556, 270, 1428, 270, 1708, 271, 5897, 258, 1607, 1982, 786, 1820, 2394, 513, 2953, 5542, 540, 2901, 606, 589, 267, 645, 267, 610, 595, 568, 1500, 23228, 12528, 17750, 815, 3403, 2891, 15675, 589, 14744, 6112, 3593, 17750, 11203, 1412, 288, 262, 6769, 825, 3593, 17750, 815, 3403, 2891, 15675, 589, 14744, 12528, 17750, 815, 3403, 2891, 15675, 645, 14744, 6112, 3593, 17750, 11203, 1412, 289, 262, 6769, 825, 3593, 17750, 815, 3403, 2891, 15675, 645, 14744, 12528, 17750, 815, 3403, 2891, 15675, 595, 14744, 6112, 3593, 17750, 11203, 1412, 290, 262, 6769, 825, 3593, 17750, 815, 3403, 2891, 15675, 595, 14744, 0, 258, 476, 274, 454, 258, 705, 7251, 1372, 454, 258, 536, 3147, 323, 454, 258, 552, 324, 629, 326, 692, 333, 815, 703, 9272, 15405, 613, 332, 7723, 815, 1305, 9272, 31156, 1721, 1775, 538, 2039, 3799, 268, 272, 2187, 825, 17576, 7723, 815, 1305, 269, 5793, 7611, 263, 613, 332, 7723, 267, 1305, 9272, 3890, 4917, 2745, 12759, 263, 613, 332, 7723, 4917, 0, 454, 258, 6358, 281, 1022, 5569, 610, 8870, 540, 693, 2547, 835, 7857, 610, 1915, 454, 258, 4958, 5281, 6936, 952, 519, 5569, 568, 513, 5493, 30308, 269, 476, 19227, 7024, 8771, 563, 3698, 568, 7272, 531, 30308, 4433, 2187, 672, 521, 815, 1193, 4433, 994, 672, 1247, 7003, 4433, 264, 3436, 476, 271, 912, 16875, 952, 521, 314, 271, 316, 2652, 521, 15631, 272, 14158, 25639, 521, 815, 521, 314, 272, 18737, 272, 2639, 16875, 3116, 912, 25639, 2132, 8771, 454, 672, 2132, 6936, 19638, 258, 6358, 281, 1100, 3403, 454, 258, 4958, 5281, 513, 1592, 540, 782, 2472, 630, 8971, 1540, 607, 12673, 264, 540, 1022, 1079, 476, 274, 7857, 2338, 267, 3097, 3698, 1614, 5091, 13424, 7272, 20094, 10031, 672, 2472, 815, 11713, 672, 1775, 815, 476, 1911, 454, 672, 1247, 1775, 2999, 476, 1911, 271, 912, 16875, 795, 815, 476, 1911, 454, 16875, 1247, 795, 2999, 476, 1911, 271, 912, 25639, 1699, 7272, 6055, 815, 1775, 2608, 795, 454, 25639, 1948, 2745, 1699, 7272, 6055, 454, 25639, 2472, 6910, 263, 9690, 7272, 6055, 994, 25639, 795, 6834, 476, 272, 454, 25639, 1948, 2745, 1775, 267, 795, 454, 16875, 1775, 6834, 476, 272, 454, 16875, 1948, 2745, 1775, 267, 795, 454, 672, 2132, 2472, 19638, 3698, 4102, 7272, 531, 30308, 10031, 672, 2472, 815, 15044, 263, 22764, 5091, 13424, 7272, 20094, 15405, 672, 585, 1775, 538, 20328, 9638, 20094, 2187, 16875, 952, 568, 7272, 531, 30308, 9217, 2187, 25639, 2132, 1775, 454, 672, 2132, 834, 11004, 616, 1100, 5493, 785, 27689, 5016, 692, 2745, 4102, 7272, 531, 30308, 4590, 672, 3097, 19930, 454, 672, 8528, 692, 0, 5814, 556, 267, 19523, 692, 5035, 21846, 912, 825, 8173, 825, 4835, 6041, 585, 513, 5912, 267, 3730, 585, 3919, 5301, 454, 825, 543, 585, 8228, 519, 900, 15975, 6041, 540, 519, 5912, 454, 825, 8173, 825, 1219, 6449, 8181, 9191, 1345, 267, 2829, 267, 6698, 267, 3350, 2187, 1038, 1582, 11519, 560, 919, 815, 2829, 454, 1038, 1582, 11519, 32188, 338, 815, 6698, 454, 1038, 1582, 11519, 332, 990, 815, 3350, 692, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 2132, 535, 257, 346, 1345, 11519, 560, 919, 314, 271, 316, 348, 2715, 1345, 11519, 32188, 338, 314, 271, 316, 348, 2715, 1345, 11519, 32188, 338, 314, 272, 316, 348, 2715, 1345, 11519, 332, 990, 348, 2715, 1345, 11519, 560, 919, 314, 272, 316, 348, 5016, 454, 5035, 3557, 318, 290, 1538, 528, 6500, 912, 825, 8173, 825, 1362, 1031, 547, 16174, 1063, 2829, 454, 825, 8173, 8931, 825, 7711, 18878, 24709, 454, 825, 1219, 568, 318, 30976, 263, 8063, 2187, 1038, 2132, 556, 269, 14142, 16868, 257, 304, 271, 23444, 26834, 314, 271, 268, 280, 27994, 264, 2580, 1533, 264, 568, 711, 7183, 22562, 825, 7711, 18878, 24709, 454, 825, 1219, 568, 318, 23100, 263, 8063, 2187, 1038, 2132, 556, 269, 14142, 16868, 257, 312, 266, 2580, 1533, 264, 568, 711, 7183, 22562, 825, 7711, 18878, 24709, 454, 825, 1219, 568, 23631, 915, 263, 8063, 2187, 1038, 2132, 556, 269, 14142, 16868, 257, 301, 266, 2580, 1533, 264, 568, 711, 7183, 7531, 5035, 3690, 1431, 318, 303, 32242, 912, 825, 8173, 1038, 1362, 585, 16163, 532, 1169, 5912, 267, 15387, 1412, 318, 10420, 16229, 262, 607, 513, 1259, 547, 5352, 454, 1038, 6698, 585, 3090, 594, 23860, 563, 825, 29185, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 11519, 10420, 16229, 815, 3921, 3488, 288, 5073, 1038, 1582, 11519, 32188, 4671, 762, 815, 9598, 4590, 1038, 1582, 11519, 10520, 318, 6352, 815, 7183, 454, 1038, 1582, 11519, 1910, 3387, 318, 6352, 815, 7183, 28329, 8931, 825, 1219, 568, 318, 22238, 4671, 4920, 819, 4311, 267, 5569, 2187, 1038, 8173, 1038, 2357, 5809, 952, 519, 5569, 5293, 607, 3403, 568, 4440, 513, 5912, 2676, 1038, 666, 1405, 2638, 952, 2731, 513, 5912, 1317, 519, 3259, 540, 519, 2829, 1590, 581, 3160, 454, 1038, 547, 1169, 824, 1533, 630, 338, 877, 585, 519, 6698, 994, 1038, 8173, 1038, 2132, 556, 269, 14142, 16868, 257, 317, 9230, 304, 314, 271, 268, 280, 27994, 347, 312, 266, 347, 301, 266, 7565, 288, 314, 271, 268, 280, 27994, 4297, 346, 273, 12917, 299, 31340, 16085, 7751, 2580, 5569, 264, 568, 711, 7183, 22562, 825, 1219, 1205, 26077, 318, 10517, 19948, 4311, 267, 1533, 2187, 1038, 8173, 1038, 7024, 519, 900, 15975, 6041, 585, 513, 1533, 454, 1038, 8173, 1038, 952, 3557, 318, 290, 1538, 528, 6500, 18994, 318, 23100, 263, 8063, 2187, 2018, 2132, 834, 327, 5306, 14092, 1061, 4840, 1038, 8640, 3557, 318, 290, 1538, 528, 6500, 18994, 23631, 915, 263, 8063, 2187, 2018, 2132, 834, 327, 5306, 3146, 915, 4840, 1038, 8640, 3557, 318, 290, 1538, 528, 6500, 18994, 318, 30976, 263, 8063, 2187, 2018, 2132, 834, 304, 514, 4840, 1038, 3116, 912, 2018, 2132, 1533, 692, 825, 1219, 1612, 572, 14067, 919, 4311, 267, 1098, 2187, 1038, 8173, 1038, 16163, 525, 519, 2829, 543, 2357, 5809, 952, 789, 616, 519, 1482, 3259, 607, 1169, 824, 1533, 454, 1038, 8173, 1038, 13292, 815, 556, 26098, 718, 16868, 257, 263, 304, 314, 271, 268, 280, 27994, 347, 312, 266, 347, 301, 266, 264, 2580, 1098, 994, 1038, 7682, 7003, 263, 3901, 2583, 264, 2652, 476, 273, 454, 1038, 952, 1582, 11519, 10520, 318, 6352, 568, 7183, 912, 2018, 1582, 11519, 10520, 318, 6352, 815, 7003, 263, 3901, 2583, 314, 271, 7481, 1038, 585, 6474, 538, 13292, 912, 2018, 952, 7003, 9852, 2255, 264, 11203, 1582, 11519, 10520, 318, 6352, 912, 3546, 6318, 681, 29025, 13286, 2891, 310, 3994, 1533, 3259, 5602, 2018, 3116, 912, 3546, 1780, 454, 1038, 2132, 630, 1345, 10947, 26077, 318, 10517, 19948, 263, 3901, 2583, 314, 271, 25818, 1582, 10947, 26077, 318, 10517, 19948, 263, 3901, 2583, 314, 272, 28413, 8931, 825, 1219, 1205, 318, 32188, 318, 10517, 19948, 4311, 267, 3090, 2187, 1038, 8173, 1038, 7024, 519, 900, 15975, 6041, 585, 513, 3090, 282, 952, 519, 3090, 814, 711, 1044, 2938, 454, 1038, 2943, 267, 849, 3651, 338, 519, 900, 15975, 6041, 585, 602, 3090, 454, 1038, 8173, 1038, 1219, 568, 318, 29734, 263, 32188, 2567, 2132, 556, 269, 14142, 16868, 21202, 271, 23444, 26834, 314, 271, 268, 280, 27994, 264, 2580, 3090, 264, 568, 711, 7183, 28329, 1038, 952, 568, 318, 29734, 263, 32188, 2187, 2018, 2132, 1412, 318, 7055, 13872, 1038, 8640, 3090, 711, 538, 1582, 11519, 32188, 4671, 762, 912, 2018, 1582, 11519, 32188, 4671, 762, 314, 32188, 316, 815, 669, 337, 4311, 11519, 10420, 16229, 994, 2018, 1582, 11519, 10420, 16229, 6834, 476, 272, 28329, 1038, 2132, 1582, 11519, 32188, 4671, 762, 314, 32188, 6540, 825, 1219, 1612, 572, 318, 32188, 338, 4311, 267, 1098, 2187, 1038, 8173, 1038, 16163, 525, 519, 6698, 543, 2357, 5809, 952, 789, 616, 519, 1482, 3259, 607, 1169, 824, 1533, 454, 1038, 8173, 1038, 13292, 815, 556, 26098, 718, 16868, 21202, 314, 271, 268, 280, 27994, 2580, 1098, 994, 1038, 7682, 7003, 263, 3901, 2583, 264, 2652, 476, 273, 454, 1038, 952, 1582, 11519, 1910, 3387, 318, 6352, 568, 7183, 912, 2018, 1582, 11519, 1910, 3387, 318, 6352, 815, 7003, 263, 3901, 2583, 314, 271, 7481, 1038, 585, 6474, 538, 13292, 912, 2018, 952, 7003, 9852, 2255, 264, 11203, 1582, 11519, 1910, 3387, 318, 6352, 912, 3546, 6318, 681, 29025, 13286, 2891, 310, 3994, 3090, 3259, 5602, 1038, 2132, 630, 1345, 10947, 318, 32188, 318, 10517, 19948, 263, 3901, 2583, 314, 271, 25818, 1582, 10947, 318, 32188, 318, 10517, 19948, 263, 3901, 2583, 314, 272, 8079, 2020, 825, 1219, 1612, 572, 8548, 913, 618, 4311, 267, 1098, 2187, 1038, 8173, 1038, 16163, 525, 519, 11746, 3350, 454, 1038, 8173, 1038, 952, 1098, 15631, 272, 316, 538, 18011, 299, 3299, 1412, 305, 3299, 1412, 306, 262, 2187, 2018, 2132, 1098, 15631, 272, 2639, 1038, 6318, 681, 29025, 13286, 2891, 4462, 4385, 570, 1901, 11873, 15419, 5035, 25927, 1807, 912, 825, 8173, 825, 4570, 919, 543, 24846, 3278, 519, 3403, 543, 10039, 519, 13289, 16163, 518, 454, 825, 547, 1169, 5912, 454, 825, 8173, 825, 1219, 6449, 8181, 9191, 1345, 267, 5569, 2187, 1038, 1582, 11519, 10520, 1431, 815, 11713, 1038, 12673, 815, 5569, 21858, 3488, 282, 5073, 1038, 16163, 518, 815, 3690, 1431, 318, 303, 32242, 4590, 1038, 585, 5569, 538, 12673, 912, 2018, 952, 16163, 518, 18994, 318, 22238, 4671, 4920, 819, 30415, 2187, 3546, 1582, 11519, 10520, 1431, 6910, 263, 9558, 819, 9638, 32242, 269, 27785, 14067, 919, 30415, 9385, 454, 7386, 2073, 16163, 518, 269, 27785, 318, 32188, 338, 30415, 9385, 454, 13376, 2073, 16163, 518, 269, 27785, 8548, 913, 618, 30415, 21875, 2018, 3116, 912, 3546, 6318, 681, 29025, 13286, 2891, 1103, 20777, 18452, 15419, 825, 1219, 1820, 4311, 2187, 1038, 8173, 1038, 16493, 519, 900, 15975, 6041, 585, 519, 512, 1005, 3684, 2016, 607, 18452, 3097, 1038, 547, 519, 4020, 528, 540, 713, 1362, 454, 1038, 8173, 1038, 585, 5912, 538, 1582, 11519, 10520, 1431, 912, 2018, 1820, 6025, 4920, 819, 9239, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 8931, 825, 952, 7003, 4433, 903, 27769, 341, 264, 2999, 476, 273, 912, 1038, 6318, 681, 29025, 13286, 19629, 333, 26402, 281, 7090, 274, 6037, 1807, 18258, 910, 325, 2999, 12803, 285, 315, 333, 29146, 528, 14826, 315, 454, 9226, 274, 6037, 1807, 18258, 910, 322, 5602, 8931, 825, 952, 21029, 325, 262, 2652, 19523, 27769, 341, 314, 272, 14158, 13872, 1038, 952, 7003, 4433, 903, 27769, 341, 264, 2999, 476, 274, 912, 2018, 6318, 681, 29025, 13286, 2891, 8253, 2614, 14803, 3701, 5602, 13872, 1038, 1775, 696, 815, 1930, 4433, 903, 27769, 341, 314, 273, 316, 1040, 1348, 1467, 14061, 29328, 4590, 8931, 825, 8640, 21029, 322, 262, 2652, 19523, 27769, 341, 314, 272, 14158, 1038, 1775, 696, 815, 3403, 2891, 283, 6358, 285, 19515, 8931, 825, 25927, 1807, 9217, 696, 1040, 2745, 4590, 0, 5814, 28184, 5793, 607, 28184, 4449, 8587, 1948, 585, 3384, 1368, 529, 630, 1607, 9074, 568, 851, 540, 519, 834, 14537, 257, 9226, 10518, 9239, 5814, 562, 2741, 330, 692, 333, 2741, 330, 6155, 5877, 3488, 335, 6064, 339 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 538, 513, 2487, 5967, 563, 24456, 267, 8783, 10196, 540, 519, 3703, 24959, 11752, 267, 7898, 3293, 2063, 3923, 693, 23171, 2160, 593, 519, 1888, 540, 2825, 6464, 543, 849, 12038, 827, 1200, 1433, 267, 799, 729, 1101, 3370, 538, 4279, 6628, 563, 5278, 2516, 543, 3173, 5009, 10683, 6954, 11326, 723, 1279, 8179, 547, 5559, 520, 1125, 519, 3095, 1063, 5144, 543, 2860, 269, 7831, 1032, 267, 4658, 585, 519, 19078, 9615, 540, 12292, 630, 303, 4953, 288, 264, 606, 13499, 930, 609, 513, 834, 294, 582, 1160, 8063, 9435, 8119, 3915, 4580, 10023, 1715, 3840, 26302, 23052, 20462, 16902, 592, 1014, 328, 609, 513, 5144, 544, 24065, 5995, 269, 16902, 592, 1014, 328, 1185, 5063, 1044, 8995, 609, 17150, 2860, 269, 3571, 10845, 936, 519, 5859, 7142, 27946, 288, 547, 7485, 519, 18537, 543, 23294, 1125, 547, 519, 25650, 563, 3719, 519, 3621, 13416, 3081, 267, 834, 294, 582, 19577, 8119, 667, 8543, 2472, 723, 711, 1044, 3254, 547, 2014, 4534, 610, 10826, 4534, 1480, 2860, 563, 27839, 534, 773, 2717, 330, 568, 8689, 540, 6484, 2069, 693, 519, 1977, 4659, 585, 9435, 3194, 267, 519, 2197, 781, 3791, 28376, 2860, 17493, 543, 835, 602, 568, 5059, 593, 519, 3095, 1063, 2732, 543, 2860, 269, 2717, 330, 1767, 621, 568, 7543, 547, 1118, 1808, 7840, 547, 2021, 609, 2543, 547, 6089, 2860, 543, 10683, 2472, 563, 257, 5278, 2090, 1397, 1496, 7474, 5144, 2488, 316, 4027, 2437, 1352, 1767, 269, 2201, 519, 824, 1688, 267, 930, 2551, 2090, 3095, 2362, 6089, 2275, 22083, 3928, 547, 2362, 5144, 543, 10683, 6981, 563, 763, 3095, 1063, 10683, 543, 17150, 2860, 949, 581, 6793, 269, 589, 476, 1960, 278, 2079, 540, 2732, 7146, 2275, 22083, 2090, 16432, 676, 519, 2622, 9435, 3194, 8750, 543, 519, 1382, 20576, 11943, 602, 834, 10972, 1115, 1164, 538, 5144, 543, 10683, 2472, 7654, 2333, 519, 1981, 540, 17150, 2860, 1701, 12824, 689, 519, 12370, 3427, 540, 5398, 2657, 2063, 1032, 5950, 1239, 11021, 971, 513, 3095, 855, 19230, 602, 621, 781, 1932, 2038, 547, 1376, 13346, 11326, 269, 634, 12370, 2319, 17695, 1242, 602, 1932, 1454, 8192, 7513, 949, 581, 15723, 1154, 519, 1560, 781, 3761, 540, 513, 2860, 1922, 18017, 1106, 540, 6171, 667, 269, 11524, 14353, 513, 9449, 1572, 7378, 6438, 2208, 3815, 476, 272, 267, 610, 594, 24427, 268, 272, 563, 24456, 524, 2572, 9940, 2963, 602, 27498, 594, 24427, 268, 272, 609, 513, 30382, 538, 6089, 2275, 22083, 1981, 267, 543, 1767, 602, 621, 2306, 2631, 585, 4816, 16933, 547, 3824, 652, 513, 6219, 602, 7512, 1591, 2208, 855, 602, 538, 2937, 3425, 267, 594, 24427, 268, 272, 1223, 5000, 519, 4636, 2186, 540, 1591, 2208, 269, 898, 729, 711, 1175, 1585, 14353, 5820, 538, 5144, 602, 18617, 7233, 855, 849, 2551, 2090, 602, 1397, 13497, 2539, 3928, 540, 6089, 2860, 538, 6917, 3624, 269, 2701, 11943, 602, 519, 1883, 8192, 3017, 729, 602, 4457, 4079, 538, 6917, 2127, 1810, 1405, 8532, 10800, 781, 5144, 267, 4352, 972, 616, 5693, 824, 3604, 1063, 513, 3044, 5375, 2732, 543, 519, 7361, 20757, 24214, 540, 6917, 3624, 563, 9515, 1336, 519, 2963, 8903, 267, 855, 602, 781, 711, 1946, 1352, 5206, 519, 1433, 269, 2701, 4956, 547, 2671, 1200, 3069, 609, 519, 1158, 1310, 1200, 1378, 10510, 4534, 1200, 11359, 4534, 695, 17213, 543, 8709, 1639, 3533, 2899, 1352, 16718, 4189, 10683, 3536, 269, 2701, 729, 18460, 18068, 693, 519, 942, 267, 1352, 4967, 267, 855, 1200, 7189, 4956, 602, 621, 7012, 1405, 2324, 269, 2701, 849, 1185, 3144, 909, 513, 2732, 3638, 538, 5613, 267, 5388, 543, 9274, 563, 9515, 11099, 602, 546, 18804, 10683, 23174, 1200, 543, 814, 6854, 1200, 2860, 6954, 585, 1296, 269, 4746, 267, 1352, 1767, 602, 476, 8287, 824, 5449, 6089, 2275, 22083, 2550, 723, 18423, 2860, 6954, 593, 1200, 10683, 6954, 2732, 269, 630, 15463, 1982, 849, 2882, 9360, 267, 2566, 2359, 543, 824, 6197, 2242, 269, 9540, 5666, 540, 9449, 6954, 267, 1418, 1227, 3812, 5779, 616, 4847, 267, 855, 711, 5227, 585, 1346, 609, 3742, 2860, 8094, 22746, 2963, 568, 10578, 267, 855, 621, 781, 711, 2182, 2257, 269, 4173, 10510, 949, 723, 8709, 1639, 31380, 267, 610, 519, 18068, 949, 723, 14736, 539, 538, 563, 24456, 3081, 519, 3703, 2564, 10661, 8385, 1093, 2129, 1790, 5622, 1117, 1200, 1433, 267, 855, 519, 7233, 5358, 4300, 4705, 547, 1082, 2550, 563, 10454, 2898, 6644, 568, 1631, 5828, 1472, 267, 543, 594, 6415, 1373, 4280, 547, 979, 547, 2564, 19014, 2437, 1352, 1767, 563, 17829, 945, 2119, 621, 723, 4986, 547, 6336, 267, 1352, 1767, 563, 4462, 1652, 267, 540, 1576, 267, 5144, 7140, 856, 723, 4550, 2275, 22083, 3334, 269, 8210, 514, 3213, 742, 1752, 267, 513, 10805, 1019, 2045, 1014, 945, 568, 513, 6484, 543, 10618, 11285, 693, 519, 1715, 4789, 667, 8543, 543, 5253, 7027, 538, 11785, 267, 1767, 602, 3173, 616, 3168, 693, 513, 1297, 540, 5144, 5820, 267, 1519, 513, 9761, 3679, 1572, 17788, 730, 13274, 1961, 545, 3679, 267, 607, 2009, 2860, 25881, 269, 769, 1840, 267, 1352, 1767, 602, 1034, 2564, 4648, 2015, 1970, 19339, 10683, 2472, 547, 581, 851, 540, 513, 1072, 995, 2732, 269, 9435, 2550, 945, 7914, 593, 513, 535, 5417, 880, 834, 7171, 342, 6782, 257, 899, 519, 7233, 5358, 267, 1352, 1767, 267, 1522, 1745, 789, 666, 18178, 3044, 2860, 5574, 563, 3719, 7233, 1767, 1352, 1131, 2760, 4363, 602, 4896, 609, 2860, 18178, 3044, 2126, 269, 4173, 1982, 267, 1352, 1767, 267, 568, 5921, 547, 9148, 3339, 2564, 1416, 269, 2701, 1767, 602, 1247, 1352, 3085, 1405, 723, 519, 7296, 7784, 267, 1352, 7959, 519, 2963, 2798, 9244, 4724, 5144, 607, 835, 27521, 538, 6089, 2860, 269, 0, 313, 296, 25605, 24295, 1315, 19760, 293, 454, 763, 2817, 12920, 17232, 807, 7690, 630, 26822, 293, 264, 814, 1044, 2324, 5702, 609, 519, 15544, 585, 8376, 6513, 543, 10644, 630, 24922, 1070, 519, 2622, 18966, 540, 12920, 17232, 807, 630, 310, 293, 295, 264, 543, 3875, 2872, 543, 3782, 3906, 547, 6895, 519, 32760, 3644, 12176, 267, 799, 814, 1044, 10294, 513, 1857, 1072, 6595, 676, 519, 2622, 2657, 9257, 630, 21766, 1916, 2026, 32760, 568, 513, 7657, 643, 6400, 267, 799, 568, 513, 20188, 17158, 539, 3644, 267, 972, 568, 513, 1164, 5506, 602, 621, 786, 581, 6707, 30737, 17300, 676, 1699, 10194, 30737, 10474, 2553, 630, 17742, 267, 19857, 7933, 564, 1120, 550, 267, 6289, 1993, 2830, 1674, 264, 1031, 538, 519, 5478, 540, 11919, 23402, 16392, 2472, 1519, 11919, 23402, 674, 309, 7656, 543, 674, 21197, 543, 642, 310, 291, 30211, 563, 9558, 3939, 3842, 1973, 610, 1875, 8686, 597, 958, 30737, 17300, 1973, 3334, 568, 513, 5732, 3152, 3390, 269, 28298, 568, 2009, 998, 1973, 24603, 676, 7783, 7264, 610, 17631, 13059, 689, 4299, 2127, 267, 1082, 540, 7247, 949, 581, 28105, 693, 519, 942, 540, 21856, 563, 25387, 267, 6771, 1185, 1044, 4857, 538, 693, 2547, 476, 2641, 2477, 610, 11182, 538, 519, 17113, 267, 1519, 17896, 22656, 269, 32760, 3644, 5563, 723, 1044, 4080, 538, 17631, 13059, 547, 519, 2136, 2276, 269, 2060, 519, 2487, 17061, 538, 519, 17113, 267, 519, 1297, 540, 32760, 3644, 2068, 2665, 1851, 17631, 9683, 610, 13059, 547, 519, 2136, 2276, 2693, 786, 2333, 269, 1452, 16865, 2665, 949, 1267, 538, 2199, 3262, 540, 519, 3644, 538, 930, 2127, 540, 519, 18626, 2136, 2276, 267, 2495, 891, 16865, 2665, 949, 1267, 538, 1480, 3562, 2173, 657, 10181, 334, 3562, 25993, 3262, 540, 519, 3644, 563, 1103, 3210, 519, 15509, 814, 9783, 519, 1739, 3782, 28007, 563, 2690, 811, 1344, 593, 519, 32760, 24295, 912, 27242, 1475, 28495, 619, 585, 8376, 6513, 543, 10644, 2008, 27242, 1475, 13328, 2657, 9257, 2008, 27242, 1475, 4785, 1546, 696, 269, 540, 2657, 543, 5274, 7896, 32760, 476, 6200, 347, 0, 17653, 908, 2973, 1648, 568, 513, 3787, 540, 513, 9553, 7615, 269, 17437, 568, 11212, 3532, 855, 814, 930, 27337, 881, 12178, 267, 3859, 1379, 568, 1869, 7199, 543, 28537, 593, 513, 1804, 4336, 543, 18864, 6499, 513, 2842, 17081, 538, 741, 1394, 4677, 1813, 547, 741, 2450, 543, 6846, 269, 1809, 1018, 827, 5951, 1379, 286, 3502, 1152, 568, 621, 7791, 543, 2484, 689, 707, 3328, 7622, 267, 855, 621, 779, 7357, 22150, 1932, 269, 2334, 779, 519, 3070, 602, 1648, 23122, 3798, 25272, 344, 814, 267, 1310, 646, 9307, 4566, 585, 519, 5177, 547, 1628, 909, 547, 3670, 812, 13402, 561, 6210, 976, 547, 5352, 2973, 267, 7791, 1648, 563, 763, 10325, 267, 799, 786, 1942, 11278, 1321, 5479, 538, 2698, 1223, 5352, 2614, 5201, 547, 1379, 5216, 829, 1298, 540, 3703, 5321, 585, 607, 1279, 607, 476, 6344, 1296, 269, 2755, 7199, 267, 519, 2132, 593, 5092, 568, 11999, 6236, 602, 2757, 8093, 4492, 1379, 10473, 1152, 4043, 547, 2063, 1472, 476, 1789, 1296, 543, 6046, 10473, 513, 2370, 3476, 693, 909, 547, 476, 2412, 563, 2690, 1346, 5461, 267, 570, 10537, 20698, 3019, 5295, 814, 606, 7317, 476, 274, 291, 2203, 596, 666, 8038, 1472, 454, 763, 1101, 3942, 540, 519, 3818, 4458, 1788, 568, 4867, 1305, 547, 2253, 538, 4210, 534, 22855, 543, 1131, 1294, 513, 2947, 13304, 4262, 3774, 3710, 909, 547, 1079, 5195, 856, 547, 4262, 269, 898, 1131, 9247, 1450, 1379, 3549, 547, 2481, 333, 519, 4262, 17303, 267, 1152, 16089, 1216, 998, 950, 2157, 941, 540, 1114, 15627, 267, 7551, 2870, 513, 1699, 1063, 519, 1079, 799, 1131, 5397, 14015, 18434, 267, 2870, 5201, 269, 898, 779, 849, 1044, 6700, 602, 519, 5841, 561, 6210, 976, 1131, 581, 3501, 585, 1216, 5026, 543, 9235, 563, 2252, 519, 31687, 534, 22855, 10325, 5249, 856, 267, 621, 1131, 1291, 547, 519, 5137, 540, 1896, 811, 4262, 6821, 2059, 519, 5032, 6050, 540, 9315, 858, 267, 595, 3518, 807, 543, 590, 12002, 564, 267, 607, 1134, 607, 1614, 811, 4609, 538, 12986, 269, 1717, 267, 713, 949, 2760, 2097, 547, 1780, 607, 13278, 2006, 3494, 602, 519, 5841, 561, 6210, 976, 1131, 15641, 324, 3165, 9194, 543, 1131, 3441, 5095, 607, 789, 616, 647, 22486, 883, 18434, 563, 763, 2754, 3743, 585, 519, 1788, 267, 570, 10537, 20698, 3019, 5295, 267, 1767, 2705, 602, 713, 1131, 1152, 4755, 538, 1507, 2338, 543, 602, 538, 4641, 267, 519, 3774, 779, 4070, 1223, 1711, 606, 14015, 11818, 7226, 593, 3703, 24528, 269, 898, 1705, 2705, 16153, 602, 519, 2038, 1646, 3344, 540, 519, 1788, 786, 581, 7199, 267, 799, 949, 711, 5225, 3454, 2628, 619, 269, 16628, 4460, 1744, 528, 13702, 2705, 267, 1705, 1533, 602, 621, 786, 1205, 513, 2603, 14949, 538, 519, 2104, 7064, 547, 4824, 4702, 1995, 543, 3773, 1719, 538, 519, 1788, 563, 28097, 593, 938, 9365, 2985, 267, 28313, 563, 298, 527, 294, 15843, 590, 904, 281, 1548, 798, 596, 16921, 1589, 540, 519, 2856, 585, 513, 1804, 4262, 2914, 718, 2813, 1472, 1808, 2694, 540, 519, 3703, 5032, 286, 476, 6344, 1296, 568, 513, 7168, 11141, 19773, 16804, 12552, 18917, 316, 0, 305, 895, 11988, 29488, 630, 307, 2135, 26053, 529, 682, 517, 2088, 264, 27051, 4374, 1310, 3968, 267, 2937, 5180, 19095, 5305, 5798, 538, 519, 2915, 781, 1507, 16892, 269, 28096, 1020, 538, 519, 1604, 543, 1831, 3468, 633, 5111, 476, 272, 3018, 1310, 1373, 5293, 538, 28797, 269, 16791, 633, 5798, 949, 581, 28041, 676, 707, 4620, 2047, 689, 519, 1604, 269, 834, 1103, 519, 2915, 267, 519, 5180, 11988, 25457, 513, 7294, 1272, 4783, 1701, 769, 519, 2915, 267, 519, 5180, 11988, 25457, 513, 7294, 1272, 4783, 1354, 9921, 5180, 19095, 616, 1336, 538, 519, 15499, 8778, 269, 901, 3322, 1896, 5933, 543, 2882, 9194, 998, 1585, 15629, 8031, 563, 3849, 738, 654, 768, 338, 769, 5243, 267, 519, 30219, 616, 834, 516, 716, 17300, 257, 676, 6379, 269, 634, 17494, 1287, 22109, 547, 519, 5144, 15374, 547, 581, 5293, 547, 513, 21937, 269, 769, 7314, 543, 29067, 267, 519, 17494, 3914, 4638, 15657, 1318, 2476, 538, 519, 24026, 267, 1510, 519, 679, 1097, 560, 532, 3942, 269, 8734, 476, 2918, 267, 5788, 1452, 679, 1097, 23264, 5180, 11988, 16793, 666, 2611, 26862, 585, 519, 1964, 540, 519, 2915, 779, 1272, 1765, 684, 1652, 519, 2915, 568, 513, 4775, 543, 3587, 9176, 267, 693, 799, 942, 519, 16793, 4586, 21801, 476, 1240, 267, 5788, 2755, 538, 519, 16892, 267, 2937, 5180, 19095, 8774, 5798, 602, 1287, 1205, 5293, 883, 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 ]
[ 454, 271, 476, 272, 476, 272, 476, 272, 476, 272, 476, 272, 476, 272, 476, 6349, 543, 4946, 476, 272, 649, 1205, 476, 271, 476, 272, 476, 272, 476, 272, 476, 272, 476, 272, 476, 272, 476, 1321, 630, 14096, 264, 865, 476, 272, 476, 271, 476, 271, 476, 271, 476, 271, 476, 271, 476, 271, 476, 1321, 568, 6697, 547, 910, 14096, 563, 1892, 1284, 1294, 1287, 602, 2899, 649, 723, 7608, 519, 1249, 602, 476, 272, 476, 271, 476, 271, 476, 271, 476, 271, 476, 271, 476, 271, 476, 6349, 568, 8918, 910, 12553, 267, 10203, 676, 4946, 835, 1568, 607, 649, 1131, 2503, 563, 1892, 8074, 602, 519, 1034, 2942, 1297, 799, 649, 666, 4558, 538, 606, 476, 279, 3787, 9896, 8870, 568, 910, 12553, 267, 799, 568, 910, 476, 2764, 910, 476, 272, 267, 543, 602, 519, 4102, 2318, 9896, 8870, 649, 666, 4558, 538, 606, 476, 279, 3787, 9896, 8870, 568, 476, 14096, 267, 799, 568, 476, 2764, 910, 476, 272, 910, 476, 272, 563, 1892, 634, 1297, 540, 9981, 1063, 910, 12553, 543, 1341, 476, 14096, 630, 514, 5477, 264, 568, 476, 16348, 267, 799, 568, 476, 2764, 282, 713, 568, 519, 1482, 1297, 540, 2418, 799, 606, 5667, 11220, 476, 279, 3787, 8870, 666, 2270, 630, 5228, 476, 271, 547, 476, 14838, 1916, 1892, 16828, 649, 786, 1293, 782, 519, 1259, 909, 547, 476, 272, 476, 272, 476, 272, 476, 272, 476, 272, 476, 272, 476, 272, 476, 1321, 269, 634, 476, 272, 781, 9148, 540, 713, 1297, 568, 15069, 476, 271, 267, 865, 454, 272, 476, 272, 476, 272, 476, 272, 476, 272, 476, 272, 476, 272, 476, 1321, 1590, 581, 519, 8918, 6697, 540, 910, 272, 563, 8794, 938, 18801, 725, 593, 476, 279, 3787, 9896, 9981, 607, 513, 3391, 267, 649, 2097, 547, 519, 1739, 7422, 827, 9896, 8870, 12980, 538, 2489, 912, 1892, 952, 513, 9896, 8870, 814, 562, 11353, 267, 621, 666, 2270, 513, 1297, 1063, 910, 476, 273, 333, 910, 476, 272, 543, 1341, 630, 273, 333, 910, 476, 272, 910, 476, 272, 1916, 1892, 2094, 1312, 9896, 543, 5667, 11220, 9981, 540, 562, 11353, 538, 3259, 666, 2099, 476, 273, 333, 1114, 2418, 267, 972, 568, 1100, 7915, 1259, 547, 10646, 9896, 9981, 689, 5667, 11220, 9981, 3274, 676, 3168, 693, 873, 282, 519, 3301, 14704, 568, 3743, 585, 1210, 873, 7157, 563, 1892, 1100, 2339, 1018, 519, 3259, 267, 952, 513, 9896, 8870, 814, 513, 9352, 1871, 540, 782, 476, 272, 781, 267, 621, 568, 3160, 547, 8918, 910, 272, 563, 2791, 1058, 13182, 602, 513, 9896, 2110, 8870, 666, 3180, 8918, 2418, 689, 910, 3953, 267, 278, 6924, 547, 1341, 3953, 267, 278, 6858, 267, 513, 9896, 1279, 8870, 666, 2270, 2418, 689, 910, 273, 267, 15704, 267, 4366, 274, 267, 277, 4366, 547, 1341, 273, 267, 15704, 267, 4366, 274, 267, 5038, 278, 543, 513, 9896, 5595, 8870, 666, 2099, 8918, 2418, 689, 910, 280, 267, 23417, 267, 4391, 273, 267, 271, 3607, 267, 5952, 275, 267, 278, 4037, 267, 3199, 279, 547, 1341, 280, 267, 23417, 267, 4391, 273, 267, 271, 3607, 267, 5952, 275, 267, 278, 4037, 267, 3199, 278, 780, 2467, 568, 606, 4277, 12343, 547, 519, 1249, 602, 538, 476, 273, 781, 9148, 12980, 267, 835, 26770, 547, 12235, 2476, 519, 3803, 4163, 281, 538, 5667, 11220, 12980, 513, 4163, 856, 540, 519, 1034, 1713, 7857, 1797, 602, 972, 814, 1044, 606, 24492, 267, 855, 538, 9896, 12980, 606, 24492, 568, 711, 865, 2653, 547, 3713, 269, 769, 1249, 267, 9896, 12980, 24492, 338, 616, 9571, 676, 10992, 519, 11007, 540, 519, 4191, 540, 519, 1766, 1343, 543, 519, 3803, 2626, 269, 589, 9896, 24492, 814, 7018, 538, 606, 1840, 610, 12408, 952, 1384, 1892, 519, 2040, 540, 1079, 2318, 2338, 568, 2942, 3248, 1892, 519, 2040, 540, 1079, 2942, 2338, 568, 1875, 24308, 3248, 1892, 18946, 513, 2318, 1297, 689, 513, 2942, 835, 11729, 513, 2318, 1267, 282, 610, 454, 1892, 18946, 513, 2942, 1297, 689, 513, 1875, 24308, 835, 11729, 513, 2942, 1267, 780, 3619, 547, 281, 7170, 8525, 7305, 540, 12937, 12039, 692, 15100, 1001, 274, 267, 26366, 996, 681, 269, 918, 4141, 327, 2401, 269, 2353, 7126, 27616, 269, 901, 3561, 949, 581, 11884, 25735, 3177, 602, 713, 10677, 5469, 568, 3769, 780, 8923, 6494, 8292, 610, 10372, 547, 519, 2278, 269, 0, 258, 15440, 658, 13188, 734, 12195, 313, 670, 5085, 303, 2439, 272, 269, 1323, 10081, 28129, 10661, 814, 6059, 922, 10865, 1942, 1599, 607, 5205, 912, 12839, 815, 476, 25953, 271, 1341, 476, 279, 1627, 454, 8489, 1627, 568, 519, 1297, 540, 6517, 621, 2533, 1142, 3275, 543, 570, 290, 4564, 922, 2698, 1942, 563, 763, 6109, 568, 13389, 8096, 274, 267, 1220, 2121, 10865, 7443, 609, 606, 3977, 3077, 540, 1425, 6005, 476, 4968, 271, 6517, 829, 3923, 563, 320, 269, 14419, 519, 6109, 779, 1665, 1575, 5223, 543, 519, 3902, 621, 1131, 723, 547, 5279, 547, 1118, 922, 6098, 7443, 563, 321, 269, 3767, 15475, 519, 3747, 7455, 519, 6109, 8188, 568, 912, 304, 815, 476, 28510, 271, 1107, 476, 2004, 623, 454, 3674, 519, 6109, 2469, 547, 3035, 922, 3077, 7443, 286, 11512, 563, 322, 269, 1403, 707, 2626, 547, 630, 321, 264, 568, 968, 7224, 5608, 1018, 3902, 1131, 596, 4363, 602, 519, 6109, 5279, 286, 11512, 780, 320, 264, 2422, 7223, 269, 4397, 570, 290, 284, 25953, 271, 266, 279, 265, 4968, 271, 815, 476, 19054, 876, 269, 17006, 593, 6098, 10865, 7443, 267, 2698, 8907, 1590, 581, 476, 19054, 876, 266, 17168, 271, 815, 476, 28656, 876, 269, 8210, 2998, 267, 3902, 1590, 581, 476, 28656, 876, 270, 4968, 271, 284, 476, 1556, 269, 273, 692, 321, 264, 5693, 1100, 269, 1256, 952, 621, 9901, 4642, 267, 621, 7948, 1405, 3028, 476, 4968, 271, 6517, 269, 623, 29888, 538, 476, 1556, 269, 273, 883, 623, 267, 1287, 5173, 7443, 15828, 1601, 780, 322, 264, 2141, 2141, 267, 1141, 8589, 1942, 815, 8589, 8907, 269, 630, 10112, 2541, 267, 585, 1631, 267, 972, 616, 1100, 1279, 2165, 4539, 610, 5837, 2152, 689, 3458, 9405, 519, 6075, 4700, 14330, 689, 707, 1101, 3948, 568, 476, 279, 269, 3767, 547, 3313, 8589, 8907, 269, 476, 272, 560, 267, 1210, 7223, 267, 27682, 519, 3747, 3830, 547, 581, 538, 2474, 540, 623, 563, 296, 1205, 623, 284, 4649, 269, 273, 268, 269, 6349, 265, 304, 563, 3086, 1287, 2698, 8907, 568, 623, 265, 304, 815, 476, 4649, 269, 273, 265, 304, 1341, 1547, 6349, 265, 304, 317, 273, 269, 6875, 519, 1101, 8174, 1438, 543, 8589, 8907, 3587, 476, 4649, 269, 273, 268, 269, 6860, 265, 304, 269, 5590, 713, 3160, 547, 476, 279, 630, 10157, 264, 543, 4194, 585, 1627, 269, 623, 29888, 519, 1871, 585, 1627, 883, 519, 17370, 9287, 3747, 3830, 547, 4194, 585, 623, 269, 630, 327, 842, 267, 585, 623, 594, 1205, 8096, 4029, 269, 2568, 2020, 299, 1824, 320, 9939, 780, 296, 1174, 875, 596, 3893, 519, 3902, 543, 782, 855, 1775, 1810, 1405, 1205, 875, 596, 1265, 519, 1665, 1575, 5223, 610, 568, 602, 476, 1556, 269, 273, 286, 8729, 585, 707, 948, 692, 5194, 2243, 267, 585, 851, 595, 1862, 30524, 596, 2322, 519, 1007, 1627, 263, 14093, 271, 264, 883, 519, 7443, 3830, 547, 1205, 519, 6700, 3902, 269, 17166, 267, 476, 17168, 271, 6025, 13759, 7443, 6661, 14093, 271, 303, 268, 15647, 2412, 263, 25953, 271, 266, 279, 265, 14093, 271, 1070, 799, 1287, 519, 3902, 1131, 581, 476, 1626, 269, 1691, 286, 2496, 15812, 5346, 5223, 267, 607, 594, 1174, 267, 568, 519, 3017, 1063, 519, 9513, 3902, 543, 519, 9140, 3902, 267, 5258, 630, 17141, 264, 676, 519, 9513, 3902, 269, 594, 3494, 267, 538, 707, 2013, 267, 519, 2261, 651, 1575, 5223, 1131, 581, 630, 1556, 269, 273, 268, 279, 269, 271, 8358, 1556, 269, 273, 815, 476, 2764, 269, 277, 30515, 263, 4407, 594, 1174, 519, 9297, 540, 707, 2243, 267, 519, 562, 32393, 1155, 540, 6589, 543, 9946, 814, 4749, 23012, 803, 24355, 5591, 269, 594, 1131, 2322, 1627, 263, 14093, 271, 264, 883, 519, 3747, 3830, 623, 284, 4649, 269, 273, 910, 1547, 6349, 304, 3371, 623, 284, 4029, 269, 277, 269, 4935, 267, 2698, 8907, 1131, 581, 476, 4029, 269, 277, 265, 14093, 271, 815, 476, 4391, 273, 6434, 269, 11192, 3790, 616, 476, 25953, 271, 1341, 476, 279, 16732, 14093, 271, 264, 815, 476, 15647, 2412, 269, 13600, 569, 12434, 1831, 8096, 20969, 4366, 780, 3719, 267, 607, 594, 20726, 539, 538, 1250, 834, 333, 32393, 1155, 257, 4063, 538, 1250, 2063, 2022, 267, 24192, 798, 711, 1589, 540, 2042, 538, 2474, 540, 834, 339, 1173, 9643, 12434, 257, 1284, 2141, 2119, 547, 1265, 519, 834, 10946, 3065, 12434, 257, 3070, 269, 1677, 803, 267, 834, 339, 1173, 9643, 12434, 257, 568, 513, 4625, 4914, 1523, 780, 14188, 596, 585, 707, 948, 609, 713, 1966, 1862, 328, 1174, 1919, 620, 582, 1732, 1631, 32465, 1492, 1152, 824, 3364, 568, 1250, 1991, 2022, 1775, 4280, 827, 519, 1665, 1575, 5223, 286, 1772, 621, 519, 1482, 607, 519, 3902, 2496, 1103, 513, 1991, 2022, 10371, 4460, 1575, 5223, 568, 630, 23748, 910, 1942, 8358, 23748, 692, 296, 991, 948, 609, 1620, 713, 1966, 9183, 269, 14197, 1242, 24637, 1599, 1627, 323, 815, 272, 267, 8517, 268, 736, 303, 266, 271, 269, 277, 300, 268, 2004, 7468, 269, 1924, 454, 23896, 589, 568, 3168, 693, 519, 1599, 667, 273, 4747, 568, 8096, 866, 267, 4335, 543, 519, 3902, 540, 1644, 1434, 568, 476, 7742, 269, 8921, 267, 621, 6499, 596, 547, 17250, 1917, 1456, 609, 667, 273, 952, 972, 568, 513, 6175, 538, 4747, 4929, 635, 8999, 619, 547, 581, 8348, 543, 2111, 547, 6718, 476, 4968, 7864, 4559, 693, 1142, 3902, 269, 4855, 519, 1007, 1629, 534, 7455, 543, 6003, 621, 667, 274, 267, 1548, 568, 519, 3830, 9087, 667, 274, 267, 1635, 875, 1454, 1590, 4747, 2887, 547, 2014, 519, 6521, 689, 667, 273, 547, 667, 274, 286, 6435, 692, 272, 269, 26461, 491, 476, 271, 454, 273, 269, 26461, 492, 476, 271, 454, 274, 269, 26461, 479, 476, 6924, 692, 1012, 5381, 5999, 692, 272, 269, 12693, 13188, 692, 333, 10081, 28129, 10661, 814, 6059, 922, 10865, 1942, 1599, 607, 5205, 281, 570, 290, 815, 476, 7785, 271, 1341, 476, 1015, 1627, 1141, 1627, 568, 519, 1297, 540, 6517, 621, 2533, 1142, 3275, 543, 570, 290, 4564, 922, 2698, 1942, 269, 634, 6109, 568, 13389, 476, 3374, 267, 1822, 2121, 10865, 692, 24216, 676, 631, 15967, 593, 5412, 476, 280, 267, 476, 1001, 273, 454, 273, 269, 12693, 15440, 658, 13188, 734, 3918, 3201, 14877, 17252, 3633, 670, 5085, 303, 15760, 570, 6865, 3036, 4629, 310, 692, 8505, 334, 20904, 7896, 630, 4456, 306, 264, 568, 513, 1507, 10081, 3028, 17752, 538, 513, 28180, 1858, 540, 5204, 2350, 2224, 269, 769, 5114, 547, 513, 1507, 2333, 538, 13848, 602, 814, 3361, 519, 8589, 1942, 540, 713, 10081, 3028, 10661, 547, 2333, 689, 8096, 1839, 547, 692, 24216, 676, 1261, 1430, 593, 5437, 476, 2537, 267, 476, 1220, 277, 454, 274, 269, 12693, 15440, 658, 13188, 692, 8505, 334, 20904, 7896, 630, 4456, 306, 264, 568, 513, 1507, 10081, 3028, 17752, 538, 513, 28180, 1858, 540, 5204, 2350, 2224, 269, 769, 5114, 547, 513, 1507, 2333, 538, 13848, 602, 814, 3361, 519, 8589, 1942, 540, 713, 10081, 3028, 10661, 547, 2333, 689, 8096, 1839, 547, 692, 24216, 676, 1261, 1430, 593, 5437, 476, 2641, 267, 476, 1220, 277, 454, 275, 269, 12693, 2979, 692, 305, 2378, 328, 568, 18175, 15665, 1010, 1591, 6049, 543, 10865, 3028, 1544, 11053, 686, 1314, 8426, 3091, 513, 1007, 6049, 585, 8096, 2004, 543, 19957, 3028, 585, 513, 10865, 13927, 540, 8096, 2412, 5861, 749, 7838, 3091, 513, 1007, 6049, 543, 19957, 3028, 585, 513, 10865, 13927, 540, 8096, 2004, 269, 2991, 875, 692, 24216, 676, 30410, 344, 17249, 593, 5988, 476, 1240, 267, 476, 1001, 276, 454, 276, 269, 12693, 4569, 692, 305, 2378, 328, 568, 18175, 15665, 1010, 1591, 6049, 543, 10865, 3028, 1544, 269, 10222, 1314, 8426, 3091, 513, 1007, 6049, 585, 8096, 2004, 543, 19957, 3028, 585, 513, 10865, 13927, 540, 8096, 2412, 269, 8426, 7838, 3091, 513, 1007, 6049, 543, 19957, 3028, 585, 513, 10865, 13927, 540, 8096, 2004, 269, 2991 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9228, 834, 8243, 749, 3010, 289, 269, 13095, 528, 2271, 3748, 692, 1103, 1840, 547, 1167, 518, 940, 3604, 538, 17627, 2298, 267, 3425, 666, 849, 9794, 7648, 538, 17627, 8515, 269, 901, 2460, 540, 10153, 16371, 8226, 14340, 689, 1079, 1292, 2188, 281, 519, 5834, 540, 17627, 656, 6675, 1459, 538, 519, 1604, 543, 519, 1297, 540, 15181, 10758, 28213, 269, 1306, 519, 5834, 540, 606, 17627, 656, 4679, 267, 811, 10758, 28213, 1831, 15181, 267, 3056, 547, 6793, 8849, 6114, 543, 15398, 8226, 540, 519, 17627, 781, 8515, 780, 290, 269, 13095, 528, 774, 637, 9302, 692, 2304, 17627, 12939, 4016, 547, 519, 5934, 5834, 540, 606, 17627, 656, 2838, 547, 29360, 513, 6857, 8226, 540, 922, 2404, 9329, 269, 24544, 29676, 4268, 4922, 2066, 2043, 543, 4096, 593, 3875, 2188, 267, 971, 607, 2085, 267, 11976, 267, 543, 4598, 1686, 269, 2368, 1004, 949, 581, 3226, 6213, 547, 1978, 30851, 1813, 547, 4719, 26340, 3359, 7133, 741, 9148, 540, 10153, 16371, 13364, 267, 1247, 1866, 1522, 10536, 12012, 8417, 1739, 12675, 4598, 547, 1164, 2157, 540, 2825, 14107, 780, 4353, 269, 15136, 540, 9986, 8351, 692, 288, 269, 5754, 1842, 8926, 1299, 1323, 657, 8926, 692, 20812, 1842, 8926, 6257, 4389, 8417, 547, 24462, 267, 6466, 606, 657, 8926, 18575, 2347, 2530, 540, 519, 2631, 540, 9329, 269, 5637, 2175, 666, 1267, 689, 1585, 3123, 267, 1519, 5580, 7929, 8778, 5563, 267, 2212, 8194, 267, 18980, 4345, 267, 31895, 17654, 4713, 267, 543, 22787, 4731, 845, 725, 269, 1280, 1383, 267, 1082, 4587, 4079, 1995, 16795, 7771, 538, 741, 2702, 547, 3713, 543, 5806, 3729, 30851, 1813, 547, 2085, 5829, 2242, 538, 519, 10153, 16371, 1062, 543, 19469, 3441, 689, 7368, 23927, 547, 6757, 6878, 780, 289, 269, 1912, 656, 657, 8926, 692, 4942, 656, 657, 8926, 4016, 547, 519, 7613, 540, 7680, 10770, 267, 1419, 18473, 30851, 602, 5749, 1405, 2965, 1459, 538, 519, 5007, 1604, 269, 15706, 609, 943, 656, 657, 8926, 949, 1867, 1159, 2454, 8781, 12285, 267, 4232, 1084, 5798, 267, 610, 824, 28067, 30851, 1256, 950, 1100, 2707, 6818, 269, 901, 2783, 666, 8451, 689, 1585, 5817, 3123, 267, 971, 607, 14715, 4713, 267, 6527, 267, 610, 2212, 7063, 269, 9615, 3681, 3335, 4125, 5466, 519, 3597, 2014, 540, 519, 1966, 267, 4352, 930, 2665, 949, 2154, 5042, 15515, 24173, 3797, 610, 14278, 1670, 6304, 780, 309, 269, 590, 1417, 10017, 692, 288, 269, 15350, 1299, 32313, 692, 14722, 723, 1279, 6444, 519, 15982, 2078, 1063, 9329, 543, 3965, 267, 607, 1134, 607, 519, 4390, 540, 1978, 6526, 27509, 547, 18427, 2178, 3929, 6547, 269, 2290, 7778, 585, 713, 4276, 6013, 538, 519, 2673, 16133, 540, 519, 10153, 16371, 15941, 547, 18215, 545, 3889, 3238, 538, 3929, 4393, 543, 3965, 5250, 267, 971, 607, 519, 993, 17789, 323, 8403, 543, 28481, 25283, 269, 5221, 17627, 1344, 21271, 525, 3119, 9729, 673, 2127, 6131, 547, 10444, 2079, 267, 621, 10301, 891, 2565, 2634, 4525, 811, 6385, 982, 3308, 610, 17391, 15128, 267, 5732, 7393, 922, 1764, 593, 28146, 2829, 543, 973, 565, 27928, 780, 289, 269, 16373, 1299, 19901, 10263, 692, 306, 1417, 6725, 4564, 513, 24567, 2361, 5059, 593, 19713, 519, 1379, 540, 32709, 547, 3310, 7082, 7375, 543, 11449, 3664, 269, 4825, 841, 619, 5051, 6451, 19355, 1085, 757, 883, 741, 8637, 262, 4694, 12742, 267, 1210, 11029, 12906, 553, 547, 1711, 22205, 5054, 267, 3986, 1587, 9029, 267, 543, 5000, 20949, 9140, 269, 3194, 5267, 602, 6800, 6534, 547, 16990, 1085, 757, 8858, 2799, 4606, 540, 25273, 267, 11005, 267, 543, 9547, 267, 799, 666, 14377, 883, 4824, 6216, 14017, 543, 6455, 2773, 780, 9654, 269, 7351, 11762, 538, 9986, 8351, 692, 288, 269, 18329, 715, 4680, 692, 18770, 1734, 538, 9300, 2029, 543, 3684, 1565, 6620, 723, 3366, 547, 519, 1646, 540, 5907, 562, 4680, 267, 15409, 3457, 2966, 547, 5659, 1950, 23399, 540, 19979, 5214, 7135, 630, 309, 31237, 264, 543, 2697, 1808, 30851, 269, 15783, 3156, 585, 5907, 562, 4680, 12732, 3309, 6080, 267, 8151, 689, 1426, 3106, 5464, 543, 2564, 26129, 547, 22657, 3354, 543, 2825, 4027, 269, 1717, 267, 1713, 2591, 2611, 538, 17975, 519, 6111, 543, 10727, 540, 891, 1949, 267, 607, 1134, 607, 4180, 9431, 10220, 543, 3593, 10343, 780, 289, 269, 14044, 18712, 1299, 4119, 7757, 18712, 692, 2026, 5691, 4641, 630, 23623, 264, 543, 21284, 4641, 630, 2752, 264, 4066, 3136, 547, 2744, 20086, 538, 4610, 899, 11080, 267, 2069, 267, 543, 3782, 267, 3173, 616, 3695, 3209, 2081, 547, 11753, 10153, 8351, 883, 15138, 1617, 529, 29022, 2833, 269, 2776, 14083, 3646, 723, 26857, 18634, 15283, 9843, 1115, 9280, 609, 16419, 20416, 7047, 5090, 2471, 602, 5305, 6098, 6526, 27509, 31764, 10502, 609, 3308, 543, 17391, 10291, 269, 6270, 10124, 3180, 9153, 585, 9750, 519, 2039, 540, 2009, 3156, 585, 15283, 543, 8121, 5867, 267, 7175, 3755, 547, 4497, 811, 4628, 609, 20533, 5054, 543, 1732, 11677, 1344, 29742, 539, 689, 3872, 2326, 780, 290, 269, 11671, 27415, 640, 1299, 9751, 692, 28770, 3101, 1382, 6920, 602, 14021, 2866, 3292, 666, 2087, 10153, 16371, 1599, 538, 1312, 2635, 2043, 543, 1346, 7092, 689, 1728, 1842, 8926, 610, 606, 657, 8926, 269, 3414, 16625, 5751, 6322, 693, 8325, 2287, 7130, 5759, 543, 2810, 18906, 1308, 1445, 267, 5171, 6542, 8476, 4390, 547, 3713, 25861, 30851, 267, 10646, 2147, 1085, 757, 267, 543, 11291, 5892, 11402, 6526, 27509, 269, 1452, 4681, 20838, 519, 1761, 585, 6098, 7459, 547, 3895, 5778, 27415, 640, 1369, 519, 2937, 10153, 16371, 1062, 267, 5356, 4126, 585, 6634, 4299, 676, 21022, 610, 15534, 12823, 540, 9329, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 25851, 273, 24706, 12126, 339, 16667, 15505, 24706, 337, 633, 267, 24706, 872, 12126, 4011, 334, 1269, 272, 267, 25616, 267, 1822, 5680, 9517, 476, 278, 1240, 275, 4200, 7788, 10434, 2465, 476, 28656, 1765, 27628, 1765, 279, 4510, 271, 454, 279, 2568, 278, 24706, 25729, 24706, 334, 12126, 578, 24706, 1933, 267, 24706, 872, 12126, 4011, 334, 476, 13078, 24706, 21123, 12126, 614, 24706, 331, 864, 267, 24706, 872, 12126, 4011, 334, 1269, 272, 267, 277, 4200, 267, 1822, 5680, 9517, 476, 278, 8618, 29637, 27211, 670, 612, 476, 28656, 1765, 21497, 1765, 9264, 271, 454, 259, 272, 267, 4335, 267, 1822, 5680, 9517, 476, 4037, 279, 280, 3393, 8751, 932, 527, 1399, 476, 28656, 1765, 22213, 1765, 27543, 277, 454, 280, 24706, 24882, 3805, 267, 24706, 872, 12126, 4011, 334, 454, 13136, 278, 24706, 710, 13062, 12126, 339, 24706, 1933, 267, 24706, 872, 12126, 4011, 334, 454, 3583, 273, 271, 24706, 8113, 3570, 24706, 15869, 267, 24706, 28026, 16667, 15505, 454, 6110, 271, 24706, 337, 12126, 338, 24706, 27553, 24706, 22620, 267, 24706, 872, 12126, 4011, 334, 454, 273, 24706, 684, 12537, 24706, 22620, 267, 24706, 872, 12126, 4011, 334, 454, 29889, 24706, 328, 12126, 965, 2421, 24706, 537, 4582, 731, 267, 24706, 872, 12126, 4011, 334, 454, 259, 4200, 278, 267, 1822, 5680, 9517, 476, 24798, 271, 4792, 18466, 548, 623, 7163, 476, 28656, 1765, 21709, 1765, 4962, 272, 276, 454, 259, 279, 1839, 267, 1822, 5680, 9517, 476, 4037, 273, 6507, 275, 9253, 20811, 13983, 518, 476, 28656, 1765, 29876, 1765, 276, 2537, 274, 454, 259, 4200, 276, 267, 1822, 5680, 9517, 476, 16020, 31318, 9253, 20811, 13983, 518, 476, 28656, 1765, 29876, 1765, 276, 2537, 274, 454, 3849, 4461, 12426, 476, 28656, 1765, 5952, 275, 1765, 15836, 274, 454, 259, 4037, 280, 267, 1822, 5680, 9517, 476, 4037, 278, 278, 5392, 2473, 534, 570, 529, 23014, 476, 28656, 1765, 31430, 1765, 22001, 278, 454, 14976, 332, 9335, 476, 28656, 1765, 26604, 1765, 27888, 272, 454, 259, 279, 4375, 267, 1822, 5680, 9517, 476, 278, 8618, 7742, 12736, 24499, 21546, 476, 28656, 1765, 3583, 278, 1765, 278, 1428, 275, 454, 259, 277, 4375, 267, 1822, 5680, 9517, 476, 4037, 279, 11277, 9253, 20811, 13983, 518, 476, 28656, 1765, 29876, 1765, 276, 2537, 274, 454, 1892, 674, 7037, 4741, 476, 28656, 1765, 24907, 1765, 6110, 271, 454, 15100, 1001, 276, 645, 295, 295, 10500, 8270, 919, 267, 20941, 269, 1323, 10446, 13234, 13564, 10706, 540, 5851, 306, 26236, 540, 3013, 267, 5549, 1421, 513, 7137, 802, 10921, 670, 987, 12537, 24988, 267, 543, 513, 29929, 324, 540, 645, 295, 295, 10500, 8270, 919, 267, 20941, 269, 7137, 802, 10921, 670, 987, 12537, 5851, 306, 16291, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 10712, 749, 1299, 2480, 757, 257, 607, 851, 540, 834, 16300, 13493, 1315, 16610, 1315, 590, 5151, 1299, 11576, 566, 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, 17138, 281, 1215, 547, 5269, 25882, 20625, 645, 4593, 7057, 692, 7072, 912, 303, 710, 20625, 536, 4593, 7057, 616, 17175, 13000, 602, 9192, 519, 29284, 540, 12566, 1952, 956, 609, 519, 855, 6670, 9403, 540, 536, 4593, 7057, 269, 901, 5850, 786, 3391, 596, 998, 1818, 707, 1378, 19471, 12566, 20625, 536, 4593, 7057, 1210, 2241, 5820, 543, 2653, 3562, 17000, 3268, 269, 1635, 519, 1439, 267, 596, 3513, 723, 2813, 8949, 267, 11344, 6960, 536, 4593, 7057, 29689, 609, 9341, 10366, 2439, 7659, 9669, 1299, 13832, 912, 272, 269, 2422, 4195, 610, 27574, 12566, 20625, 25098, 282, 1312, 960, 1134, 269, 1403, 1210, 27574, 12566, 20625, 267, 8963, 873, 8499, 1354, 14299, 4771, 563, 273, 269, 932, 650, 519, 14859, 1354, 5969, 856, 10580, 547, 2327, 789, 2226, 741, 3337, 1282, 11256, 563, 274, 269, 3680, 936, 11529, 519, 14859, 607, 621, 949, 1267, 538, 9157, 536, 4593, 7057, 563, 275, 269, 2776, 17742, 707, 14089, 865, 602, 519, 536, 4593, 7057, 27106, 14961, 563, 276, 269, 645, 1136, 942, 1522, 4268, 4470, 593, 707, 14089, 543, 519, 2450, 540, 519, 536, 4593, 3726, 2759, 614, 1031, 269, 5901, 606, 3750, 593, 519, 536, 4593, 7057, 1310, 476, 1015, 3764, 547, 2061, 8781, 563, 277, 269, 1280, 1655, 2164, 267, 4196, 519, 536, 4593, 7057, 3636, 609, 513, 6564, 641, 540, 627, 5792, 8645, 610, 1085, 17274, 540, 29877, 4672, 8645, 780, 28808, 19263, 912, 268, 476, 273, 11680, 782, 26928, 7912, 1341, 3063, 585, 7452, 532, 454, 268, 476, 272, 29537, 11256, 8869, 454, 268, 476, 272, 23188, 6070, 454, 268, 476, 272, 270, 273, 7484, 5667, 531, 1540, 7423, 630, 577, 2683, 994, 268, 476, 274, 270, 275, 7484, 855, 3410, 20488, 22791, 3606, 952, 2877, 994, 268, 476, 272, 7484, 29656, 22872, 12566, 20625, 630, 325, 3306, 610, 27574, 994, 268, 476, 272, 270, 275, 7484, 11491, 4327, 4006, 454, 268, 476, 272, 23188, 6986, 29877, 1349, 454, 268, 5695, 16535, 5964, 4006, 630, 1721, 20057, 1782, 2020, 9743, 15297, 1384, 3721, 476, 272, 910, 28799, 16959, 23123, 912, 1103, 513, 1804, 11544, 12826, 267, 31953, 1927, 519, 782, 26928, 7912, 267, 11256, 8869, 267, 543, 6070, 2394, 1134, 5916, 269, 5590, 11735, 780, 3963, 713, 568, 1271, 281, 7743, 569, 9256, 891, 3819, 5820, 5849, 5812, 3892, 2429, 519, 14859, 267, 3056, 547, 25144, 1257, 3293, 536, 4593, 7057, 780, 3721, 476, 273, 910, 12338, 538, 19643, 912, 8794, 513, 2250, 787, 1025, 2658, 610, 1079, 31009, 267, 2759, 519, 669, 2683, 7423, 883, 1507, 4773, 543, 6451, 873, 883, 519, 3819, 7848, 2394, 621, 20998, 21432, 1835, 29304, 269, 2368, 3677, 890, 320, 13355, 804, 7927, 1058, 1869, 581, 7298, 780, 3963, 713, 568, 1271, 281, 634, 7423, 5932, 9252, 1247, 11256, 267, 799, 2306, 519, 6106, 1166, 21294, 269, 2274, 3058, 930, 3677, 804, 7927, 11151, 936, 31141, 540, 15347, 267, 5329, 519, 536, 4593, 7057, 13035, 780, 3721, 476, 274, 910, 5410, 22911, 23123, 912, 1805, 597, 538, 519, 855, 3410, 20488, 267, 22872, 12566, 20625, 267, 11491, 4327, 4006, 267, 543, 29877, 1349, 1175, 2394, 5848, 2989, 269, 2142, 6297, 711, 547, 936, 332, 1460, 282, 972 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 789, 666, 2995, 606, 2937, 630, 1492, 476, 276, 645, 781, 1916, 1015, 6478, 1652, 27678, 602, 17546, 9046, 14572, 4534, 16594, 10092, 616, 9583, 2141, 593, 519, 6968, 585, 2326, 547, 2232, 1966, 6061, 910, 1705, 596, 2479, 2015, 7044, 286, 594, 1336, 476, 1015, 2262, 1652, 7044, 602, 616, 1187, 543, 1118, 3214, 1589, 827, 875, 547, 4368, 519, 1292, 524, 454, 1607, 7792, 2623, 1489, 568, 513, 3903, 3556, 585, 1053, 609, 20150, 610, 824, 3308, 6267, 269, 634, 834, 2691, 594, 6415, 772, 1186, 564, 2437, 3556, 3091, 1053, 22196, 5079, 547, 581, 2944, 538, 513, 834, 638, 2884, 1858, 2437, 950, 13347, 610, 22196, 1524, 689, 513, 21915, 5300, 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 ]
[ 3885, 1634, 607, 1273, 878, 2103, 267, 855, 3656, 15024, 538, 519, 8772, 2540, 536, 6983, 4318, 269, 1711, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 26123, 2782, 11071, 257, 607, 851, 540, 834, 19615, 1315, 12668, 1299, 4762, 26555, 1315, 4937, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269, 0, 1262, 16215, 281, 9861, 5682, 3117, 28366, 4373, 8702, 547, 713, 1770, 1141, 649, 786, 1451, 827, 1373, 834, 13582, 6800, 257, 543, 875, 938, 5079, 607, 6300, 11825, 666, 1764, 519, 1604, 256, 1411, 1522, 5873, 4079, 6158, 827, 834, 338, 7739, 1464, 257, 610, 834, 324, 1723, 7888, 257, 2472, 267, 855, 1018, 1281, 621, 782, 1611, 286, 2913, 781, 4685, 883, 891, 2035, 1927, 2439, 1262, 4089, 476, 272, 281, 1548, 568, 12655, 29283, 15140, 5331, 952, 649, 1223, 3136, 2713, 938, 2729, 1175, 899, 649, 798, 1631, 267, 2760, 4881, 856, 540, 2200, 899, 1426, 267, 1216, 267, 610, 2326, 547, 1628, 1919, 269, 2334, 1131, 581, 5863, 267, 1318, 286, 1809, 19890, 267, 602, 781, 711, 2009, 609, 519, 1259, 649, 4867, 2661, 269, 1284, 991, 547, 1376, 1818, 1732, 5079, 950, 649, 4444, 1919, 865, 602, 2104, 5481, 666, 2972, 519, 1482, 4190, 4541, 649, 798, 2221, 269, 2608, 306, 20980, 4616, 265, 1797, 9140, 543, 1210, 5370, 543, 2533, 538, 513, 1259, 602, 3085, 1405, 2800, 519, 1604, 610, 946, 909, 2200, 1932, 3533, 780, 2080, 616, 930, 1806, 540, 4264, 4616, 1384, 272, 269, 11370, 3539, 12725, 6738, 5613, 543, 5388, 3079, 540, 3283, 602, 941, 25855, 689, 2484, 2476, 269, 901, 6971, 519, 2179, 540, 4492, 1031, 585, 6283, 563, 273, 269, 19805, 9660, 1500, 689, 5214, 10412, 610, 13381, 2326, 2864, 982, 1007, 7802, 3688, 1169, 3018, 269, 901, 2337, 18359, 1216, 543, 2569, 3653, 563, 274, 269, 4635, 23431, 10918, 11435, 267, 1216, 14569, 267, 543, 12899, 10833, 3079, 540, 8741, 1963, 269, 901, 11081, 5533, 3361, 676, 5068, 3653, 780, 1262, 4089, 476, 273, 281, 4208, 9701, 1284, 5516, 6168, 12655, 29283, 15140, 2791, 949, 4898, 1946, 621, 781, 1271, 585, 721, 547, 1589, 827, 4264, 4616, 693, 971, 513, 1762, 2085, 269, 4270, 267, 1934, 616, 1614, 4128, 1384, 272, 269, 27986, 3776, 14136, 281, 1635, 10438, 811, 30396, 267, 649, 948, 2149, 519, 3047, 781, 10475, 2067, 2200, 543, 8190, 9265, 269, 1280, 1383, 267, 7446, 10357, 7888, 7738, 2472, 936, 2757, 3283, 11151, 5739, 6464, 689, 10024, 8933, 543, 12084, 267, 5329, 7286, 1272, 2922, 563, 273, 269, 12861, 22868, 281, 1879, 3549, 3132, 10357, 7888, 8925, 267, 789, 1711, 6009, 585, 1004, 945, 960, 547, 1020, 267, 5478, 267, 15814, 267, 543, 6133, 1346, 2472, 269, 1924, 267, 1373, 3039, 6800, 2965, 8309, 9797, 547, 519, 4346, 2336, 274, 269, 18964, 7827, 281, 1306, 7820, 5481, 1831, 5051, 3222, 540, 2825, 2152, 267, 4213, 1590, 3082, 547, 2743, 741, 7569, 269, 2659, 3527, 607, 513, 7082, 666, 5000, 4213, 547, 2709, 22928, 3681, 267, 3056, 547, 1256, 811, 2318, 1689, 2439, 1262, 4089, 476, 274, 281, 4139, 9024, 328, 2510, 585, 12655, 29283, 4373, 10907, 1484, 519, 1158, 267, 1082, 2477, 543, 3906, 5431, 519, 2956, 540, 4264, 4616, 269, 1358, 12840, 998, 1585, 3785, 543, 11044, 6322, 693, 9870, 4656, 543, 5009, 10357, 7888, 2853, 1851, 4961, 269, 2290, 8037, 11036, 568, 519, 2136, 8315, 262, 476, 1015, 5729, 17563, 19510, 593, 12655, 29283, 543, 13870, 630, 1015, 312, 17025, 1070, 799, 7512, 6082, 547, 2671, 1655, 2853, 543, 11282, 3646, 2509, 513, 22928, 2518, 4346, 780, 1262, 12244, 5093, 5994, 596, 616, 851, 540, 513, 1895, 2870, 513, 5859, 547, 13599, 707, 2146, 593, 4264, 4616, 269, 5071, 513, 16968, 10223, 1614, 2241, 3268, 4896, 666, 1491, 547, 3565, 547, 4264, 4616, 269, 9523, 707, 1374, 609, 2828, 543, 1920, 2818, 547, 3262, 4656, 2439, 3086, 602, 596, 1174, 519, 9238, 540, 4264, 4616, 267, 3314, 602, 1142, 942, 596, 979, 10918, 267, 596, 8917, 609, 707, 23129, 269, 7994, 20617, 543, 8300, 1866, 1472, 596, 547, 6443, 519, 3350, 4724, 513, 8902, 4541, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 7506, 540, 519, 5046, 268, 866, 6855, 593, 4264, 4616, 281, 606, 3486, 1353, 454, 20245, 7070, 2342, 4320, 476, 4097, 267, 9137, 1297, 281, 476, 7918, 630, 1708, 273, 994, 306, 20980, 2504, 543, 4616, 616, 1079, 1271, 2152, 267, 799, 20102, 2170, 269, 24641, 2043, 723, 2370, 1463, 3310, 593, 519, 5449, 267, 789, 666, 1404, 513, 1883, 1909, 593, 519, 8545, 269, 901, 1957, 6257, 519, 1641, 2339, 540, 4264, 4616, 543, 14592, 922, 1883, 2934, 269, 898, 849, 6257, 930, 3486, 7341, 538, 713, 2361, 563, 3528, 1797, 540, 606, 3486, 5619, 267, 519, 1353, 7710, 519, 8561, 2016, 547, 4264, 4616, 1282, 519, 2034, 5951, 540, 519, 5046, 268, 866, 6855, 267, 543, 519, 4110, 540, 23982, 538, 2043, 547, 4497, 538, 519, 6718, 540, 3039, 543, 30396, 14475, 2472, 269, 634, 1292, 2164, 5815, 602, 519, 6855, 6035, 606, 4316, 547, 3895, 4264, 4616, 282, 18562, 267, 519, 6855, 4805, 3112, 581, 9833, 607, 513, 2048, 18524, 1680, 518, 685, 538, 713, 1888, 563, 30509, 689, 606, 2228, 3470, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 29642, 1299, 18598, 1315, 7025, 13188, 1315, 26954, 14272, 2745, 5811, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 950, 513, 9683, 7376, 2501, 547, 513, 1153, 269, 1358, 2671, 741, 6791, 543, 8300, 1053, 547, 1711, 741, 1655, 1148, 2943, 780, 8893, 476, 273, 281, 11622, 908, 609, 513, 6250, 1746, 30310, 692, 2691, 513, 9683, 7376, 2501, 547, 513, 1153, 267, 789, 1419, 12840, 609, 1053, 593, 513, 1788, 269, 1280, 1383, 267, 789, 1522, 1291, 513, 13186, 1141, 1053, 1451, 875, 547, 946, 513, 1808, 5420, 267, 971, 607, 1216, 3712, 832, 610, 10036, 269, 2107, 267, 789, 1522, 960, 609, 1053, 547, 1711, 513, 1804, 544, 1116, 602, 4564, 519, 1153, 781, 2146, 780, 30655, 566, 568, 606, 1271, 851, 540, 1373, 606, 7376, 269, 1635, 2324, 1927, 267, 1053, 666, 1451, 689, 1142, 824, 543, 689, 519, 9683, 7376, 269, 1358, 849, 723, 519, 4316, 547, 1397, 1055, 741, 5876, 543, 3565, 547, 1945, 8273, 982, 2933, 269, 9578, 267, 621, 781, 1175, 811, 1187, 547, 1711, 1148, 609, 1866, 2439, 4131, 781, 4952, 596, 616, 2324, 593, 513, 544, 1116, 609, 513, 9683, 7376, 269, 3689, 267, 596, 1131, 16540, 2093, 585, 519, 1374, 269, 9320, 596, 1616, 547, 6451, 6698, 602, 2099, 707, 1153, 610, 2146, 269, 3973, 267, 596, 1131, 7941, 883, 4130, 2516, 543, 1376, 11516, 4221, 856, 707, 6272, 593, 1957, 269, 4495, 596, 723, 513, 1544, 267, 596, 1131, 4483, 707, 25780, 5196, 519, 3774, 543, 1376, 7206, 269, 1306, 596, 960, 267, 519, 9683, 7376, 1131, 2285, 5955, 543, 2709, 4388, 547, 948, 596, 2087, 707, 4480, 780, 8893, 476, 274, 281, 4804, 689, 7756, 26505, 543, 27639, 692, 14106, 1746, 5159, 2097, 689, 782, 936, 519, 1158, 543, 723, 741, 1378, 2189, 6163, 543, 2553, 269, 1635, 1565, 689, 891, 5159, 267, 1053, 666, 4228, 741, 7499, 20030, 543, 2744, 513, 1732, 7071, 585, 1114, 4529, 780, 2690, 1383, 267, 1577, 781, 2161, 513, 5545, 30951, 7376, 11564, 707, 1153, 269, 11910, 19973, 568, 519, 1148, 540, 1603, 1913, 609, 513, 11453, 543, 13504, 269, 634, 7376, 1131, 6542, 741, 4480, 543, 2491, 519, 1686, 543, 2686, 4644, 540, 30951, 538, 3567, 269, 4841, 1131, 1287, 723, 519, 4960, 547, 2119, 30951, 2933, 267, 1210, 1483, 26814, 543, 13504, 269, 3502, 1152, 1131, 789, 1451, 513, 1007, 5578, 267, 855, 789, 1131, 849, 2744, 5813, 883, 5545, 2528, 780, 8893, 476, 275, 281, 12861, 2659, 13574, 9457, 12328, 692, 5475, 2324, 609, 513, 9683, 7376, 267, 1053, 786, 1745, 6273, 547, 1711, 741, 1378, 25704, 269, 2060, 1007, 1983, 543, 2553, 896, 741, 12966, 267, 789, 666, 4603, 543, 7903, 2933, 547, 1711, 1256, 811, 11141, 1568, 540, 1148, 269, 1656, 945, 6487, 910, 6148, 835, 1554, 789, 3513, 1831, 9683, 5159, 2933, 2439, 13914, 1394, 547, 519, 544, 1116, 649, 5249, 593, 4505, 269, 3767, 602, 596, 4312, 4121, 1007, 2553, 543, 6591, 6667, 689, 519, 9683, 7376, 267, 596, 666, 1039, 707, 1378, 2123, 5905, 547, 519, 4062, 269, 9320, 596, 1616, 547, 6451, 2609, 540, 707, 5172, 2511, 610, 2263, 513, 6249, 602, 24889, 609, 596, 269, 21894, 596, 3442, 267, 596, 917, 602, 596, 723, 519, 1983, 543, 6015, 547, 1711, 1945, 5863, 780, 6962, 1384, 1103, 3932, 267, 2348, 9683, 5159, 693, 513, 1153, 666, 581, 513, 3407, 1995, 585, 1053, 269, 3502, 1152, 798, 789, 1451, 1007, 2553, 543, 1983, 267, 855, 789, 849, 2744, 4598, 547, 1114, 6163, 543, 4529, 269, 1635, 23712, 609, 4648, 267, 1053, 666, 7903, 2933, 547, 1711, 741, 1655, 960, 2943, 543, 1020, 513, 4514, 7071, 585, 519, 6575, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 300, 5746, 630, 303, 264, 476, 271, 4510, 270, 4962, 270, 1708, 273, 454, 1993, 19358, 4802, 11565, 3427, 5292, 476, 4375, 1315, 476, 1708, 274, 4855, 856, 875, 938, 1053, 2087, 741, 1148, 609, 9683, 5159, 3399, 540, 513, 2578, 32418, 630, 19465, 264, 1548, 3776, 7991, 700, 7174, 6168, 898, 29923, 3203, 609, 27950, 32298, 454, 29394, 700, 27482, 18961, 267, 16373, 1299, 18058, 454, 17637, 19846, 333, 10609, 712, 344, 267, 16373, 1299, 18058, 454, 1892, 16373, 1299, 18058, 454, 1892, 19928, 12781, 689, 2066, 519, 1153, 454, 10527, 20429, 892, 23954, 4016, 547, 968, 763, 20429, 540, 19358, 4802, 11565, 3427, 7536, 5472, 1053, 685, 1032, 2516, 26518, 538, 713, 3390, 616, 4977, 693, 942, 540, 8313, 563, 14188, 596, 547, 3025, 945, 8329, 547, 713, 3390, 563, 4817, 623, 2176, 6658, 10003, 267, 14135, 476, 16928, 26482, 454, 307, 601, 281, 476, 277, 6507, 279, 476, 5881, 278, 272, 454, 307, 836, 4802, 11565, 3427, 454, 20084, 1759, 7376, 27950, 32298, 543, 513, 18947, 2875, 454, 3918, 294, 8085, 2752, 30264, 2969, 7838, 2464, 476, 6734, 19358, 4802, 13185, 476, 6187, 4658, 540, 19358, 4802, 476, 1015, 9906, 3203, 8058, 13826, 18040, 2969, 24912, 21832, 11083, 570, 20315, 299, 2562, 476, 1691, 3399, 540, 513, 2578, 32418, 630, 19465, 264, 476, 1626, 11310, 19457, 693, 4518, 476, 1240, 16497, 540, 513, 17151, 8135, 476, 736, 715, 311, 680, 648, 3464, 693, 19358, 4802, 5442, 301, 23701, 20937, 11581, 24102, 476, 2420, 634, 11957, 540, 14886, 1222, 476, 2190, 15822, 28805, 476, 2764, 27759, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2304, 1271, 2460, 540, 3965, 1374, 568, 547, 14377, 519, 9266, 3625, 6516, 883, 513, 13863, 1544, 540, 519, 4890, 13307, 538, 11768, 540, 519, 1883, 2362, 1377, 2281, 543, 875, 789, 786, 2170, 609, 1142, 824, 269, 634, 1101, 1747, 547, 1376, 568, 609, 519, 12122, 540, 519, 3965, 1591, 5044, 538, 9343, 543, 9587, 799, 538, 2490, 786, 3313, 519, 6241, 1232, 1712, 543, 4737, 1232, 1712, 10325, 269, 769, 519, 2013, 540, 513, 12242, 2823, 972, 616, 476, 273, 5036, 540, 6241, 1232, 617, 619, 543, 476, 273, 5036, 540, 4737, 1232, 617, 619, 7790, 835, 585, 1142, 2823, 269, 634, 6241, 1232, 1712, 1590, 581, 6074, 971, 602, 621, 2824, 338, 519, 3617, 1297, 540, 9587, 1369, 519, 5044, 602, 786, 1267, 538, 519, 2838, 11353, 829, 2262, 630, 21990, 310, 264, 602, 519, 6075, 3340, 269, 901, 1957, 6799, 1585, 5044, 19383, 543, 519, 2078, 1063, 519, 2698, 11353, 267, 11353, 829, 2262, 267, 1297, 540, 9343, 543, 1297, 540, 9587, 269, 0, 14722, 693, 3751, 779, 5441, 5507, 723, 9307, 602, 789, 616, 1175, 2395, 2476, 689, 4466, 513, 10826, 585, 8666, 2699, 3750, 267, 513, 554, 2416, 1729, 1651, 9092, 2783, 602, 3762, 24412, 267, 538, 519, 1292, 1004, 30286, 585, 11147, 267, 609, 6505, 267, 30437, 2699, 4064, 563, 29128, 5063, 519, 4524, 1223, 1152, 581, 10970, 7007, 609, 7199, 543, 942, 21791, 6337, 7749, 2126, 267, 610, 676, 9849, 23475, 28904, 543, 2647, 1532, 3234, 4364, 22970, 607, 513, 840, 1790, 3151, 13390, 1081, 269, 1717, 267, 7064, 547, 7905, 631, 1638, 10247, 543, 1010, 2319, 540, 3173, 267, 713, 7839, 3413, 997, 5406, 786, 4166, 1831, 513, 3364, 540, 519, 2250, 563, 14071, 723, 4362, 513, 1769, 25259, 6219, 602, 267, 950, 4294, 3842, 606, 3750, 5323, 3899, 267, 5705, 569, 32290, 519, 22100, 267, 4929, 621, 547, 3109, 856, 950, 6534, 547, 6727, 28377, 540, 6505, 1769, 1848, 6941, 7905, 631, 1638, 1231, 269, 968, 11997, 267, 952, 2576, 3217, 513, 8755, 8666, 267, 519, 1769, 540, 519, 8755, 786, 1100, 3476, 2992, 689, 519, 22100, 267, 799, 3123, 519, 8984, 2699, 3750, 1198, 1848, 3571, 2319, 723, 849, 7318, 519, 6219, 593, 1920, 10130, 267, 4611, 538, 513, 6825, 5786, 540, 17559, 23302, 7314, 563, 763, 6602, 814, 1044, 688, 6150, 607, 513, 27803, 10826, 676, 21706, 543, 2564, 4648, 7567, 267, 4352, 4155, 3106, 5859, 619, 616, 10912, 585, 2417, 8062, 1354, 519, 6219, 568, 5950, 5196, 519, 2344, 269, 968, 2171, 1869, 1810, 1406, 917, 1018, 786, 4755, 547, 5179, 1235, 945, 616, 2879, 11474, 676, 3432, 12514, 269, 1403, 594, 6557, 26645, 1524, 519, 589, 272, 267, 594, 1223, 3362, 1205, 1166, 14414, 543, 10393, 6336, 8289, 540, 519, 4155, 1848, 13657, 539, 513, 22557, 2006, 585, 10162, 306, 5183, 563, 4913, 631, 1638, 1231, 685, 2319, 616, 5462, 547, 2046, 593, 543, 1020, 741, 14634, 267, 14236, 2009, 524, 999, 585, 824, 26278, 22074, 269, 968, 763, 1985, 1900, 568, 547, 4983, 519, 2959, 540, 20747, 337, 1465, 267, 936, 7721, 17068, 543, 7805, 2597, 2744, 1848, 789, 9307, 269, 968, 2171, 849, 723, 606, 3573, 3126, 540, 4255, 20898, 909, 547, 16785, 519, 2014, 543, 1198, 540, 25619, 5186, 6137, 543, 616, 10912, 585, 13538, 547, 3643, 938, 8047, 547, 723, 741, 9843, 2759, 1055, 3034, 263, 24309, 476, 277, 2904, 476, 1220, 280, 264, 0, 5415, 6775, 267, 855, 711, 8209, 1447, 3170, 267, 1434, 585, 7141, 11326, 454, 288, 2732, 1164, 538, 6775, 855, 711, 8209, 835, 1970, 538, 15459, 3170, 610, 8501, 568, 13615, 547, 513, 2539, 1981, 540, 2295, 2068, 543, 1826, 268, 273, 3987, 538, 14038, 267, 2687, 547, 1007, 4681, 689, 12309, 3557, 2160, 563, 288, 1353, 3366, 676, 9478, 2961, 28952, 540, 9049, 308, 781, 10406, 540, 11846, 543, 31292, 12594, 5267, 547, 2569, 10894, 6794, 513, 4015, 540, 1981, 2188, 1519, 1164, 1973, 2604, 543, 513, 1804, 22765, 1467, 621, 568, 811, 1271, 547, 11168, 11326, 1519, 6775, 11656, 267, 8770, 1673, 1619, 267, 2030, 2861, 3536, 982, 1445, 593, 28142, 3536, 1164, 538, 8501, 610, 15459, 3170, 563, 763, 1382, 568, 3370, 538, 4750, 540, 519, 1977, 10791, 2045, 5948, 563, 30948, 649, 1336, 568, 602, 607, 6775, 6981, 4679, 267, 519, 1981, 585, 10894, 6794, 11081, 2437, 1767, 2961, 28952, 267, 513, 10805, 2732, 23790, 543, 12314, 7548, 693, 9049, 308, 269, 834, 11947, 1922, 9200, 267, 8770, 1673, 1619, 3536, 616, 14095, 609, 2295, 2635, 8324, 267, 6886, 543, 6464, 602, 666, 9797, 1860, 1082, 9025, 1981, 2188, 563, 24679, 949, 581, 1732, 547, 1445, 593, 1519, 891, 3536, 982, 547, 1445, 267, 607, 568, 4122, 2944, 267, 593, 27195, 3536, 1164, 538, 15459, 3170, 4799, 6546, 1281, 711, 1611, 267, 2705, 267, 602, 12322, 1058, 723, 7047, 324, 1025, 534, 3832, 538, 4189, 3536, 1164, 538, 15459, 3170, 543, 8501, 267, 2961, 28952, 1767, 563, 24679, 568, 1134, 3964, 602, 15459, 3170, 666, 6318, 3983, 8501, 2437, 646, 1767, 269, 834, 1432, 713, 1239, 2303, 568, 519, 2956, 540, 1519, 3536, 1164, 538, 8192, 6775, 4799, 4415, 519, 1164, 8244, 540, 9268, 3536, 2221, 267, 2961, 28952, 1767, 267, 621, 568, 2009, 585, 12322, 547, 3548, 513, 2732, 602, 568, 1970, 538, 15459, 3170, 543, 8501, 855, 602, 849, 568, 1970, 538, 6775, 543, 8770, 11656, 267, 2030, 2861, 3536, 269, 10765, 3084, 1239, 6920, 909, 547, 476, 1789, 2600, 540, 12322, 262, 8192, 6981, 2501, 689, 16098, 543, 4006, 11656, 16152, 563, 18814, 547, 1970, 703, 1389, 540, 5613, 267, 5388, 267, 2898, 9274, 543, 10365, 267, 519, 2698, 8192, 6775, 6981, 538, 12322, 568, 827, 476, 1724, 10101, 829, 1554, 267, 1134, 2630, 519, 16252, 540, 476, 2918, 10101, 543, 476, 4343, 10101, 585, 4775, 543, 5256, 10708, 267, 6606, 563, 1103, 1840, 267, 8377, 543, 824, 1883, 1981, 2188, 2404, 609, 10894, 6794, 616, 593, 519, 4473, 538, 6107, 282, 811, 982, 476, 3583, 2600, 540, 12322, 538, 519, 1353, 1185, 693, 2547, 835, 540, 519, 2947, 1981, 2188, 1031, 547, 2708, 10894, 6794, 281, 1164, 1973, 2604, 267, 1164, 2157, 540, 4006, 543, 3170, 538, 519, 1973, 267, 1970, 2157, 540, 1434, 8501, 543, 513, 1804, 22765, 1467, 630, 320, 1268, 2348, 1614, 610, 811, 540, 519, 2188, 616, 9286, 607, 2348, 519, 6794, 1916, 257, 3080, 540, 519, 1491, 25498, 568, 602, 938, 1353, 18674, 519, 1699, 8192, 7840, 585, 8192, 6775, 6981, 676, 1519, 513, 3099, 540, 2030, 2861, 3536, 2437, 2961, 28952, 1767, 269, 834, 288, 4640, 540, 10771, 6775, 11656, 3536, 949, 2087, 15984, 547, 8192, 7840, 4799, 763, 1985, 1900, 267, 646, 1767, 267, 568, 547, 4137, 856, 519, 1655, 2409, 547, 5818, 8192, 6775, 703, 1389, 547, 2157, 602, 786, 2087, 610, 2844, 513, 14909, 9025, 1981, 3815, 4567, 269, 1280, 1383, 267, 952, 513, 1268, 3232, 814, 1614, 32122, 540, 4829, 543, 5388, 630, 1321, 10101, 540, 6775, 1070, 835, 7674, 540, 10365, 630, 572, 1597, 10101, 1070, 543, 1614, 32122, 540, 2898, 10286, 267, 789, 786, 581, 693, 827, 476, 1789, 10101, 540, 8192, 6775, 563, 10454, 8945, 568, 3478, 1004, 538, 519, 9240, 913, 4466, 519, 3536, 602, 789, 1312, 2972, 543, 616, 10375, 2437, 2961, 28952, 1767, 563, 2026, 851, 540, 519, 3444, 22891, 1353, 267, 2961, 28952, 543, 1010, 2319, 5059, 593, 1239, 6394, 607, 851, 540, 519, 2817, 2657, 543, 12594, 22410, 11752, 2944, 689, 476, 1960, 280, 268, 1220, 273, 269, 1358, 9916, 519, 11326, 540, 811, 982, 476, 273, 267, 1911, 8695, 543, 6690, 6502, 476, 1321, 547, 476, 866, 267, 3168, 693, 2436, 519, 12322, 1185, 1614, 610, 811, 2175, 602, 1118, 909, 10894, 6794, 563, 763, 1353, 1336, 972, 729, 513, 1614, 24670, 2333, 538, 519, 1297, 540, 1453, 602, 1185, 10894, 6794, 950, 519, 1895, 540, 1453, 8391, 519, 2547, 6775, 729, 3379, 609, 519, 1895, 8391, 519, 1034, 269, 1703, 729, 711, 513, 1713, 2078, 609, 2901, 15459, 3170, 610, 8501, 6981, 563, 17809, 3660, 676, 12309, 3557, 2160, 454, 268, 19974, 2732, 2539, 538, 3170, 543, 2362, 538, 6775, 949, 2539, 1981, 585, 5312, 2068, 538, 15296, 4239, 476, 2767, 267, 476, 1001, 272, 1923, 711, 15951, 2943, 1923, 476, 271, 454, 268, 26990, 619, 267, 535, 1845, 267, 2732, 14614, 281, 5450, 20326, 6794, 4544, 13807, 622, 2027, 3967, 476, 2420, 267, 476, 1220, 279, 1923, 711, 15951, 2943, 1923, 476, 271, 454, 268, 20509, 909, 593, 6775, 1631, 267, 2057, 2295, 2068, 2663, 3057, 476, 2420, 267, 476, 1001, 272, 1923, 711, 15951, 2943, 1923, 476, 271, 454, 268, 27438, 6981, 2404, 609, 4389, 1981, 540, 2669, 4924, 476, 1691, 267, 476, 1001, 272, 1923, 711, 15951, 2943, 1923, 476, 271, 454, 268, 1715, 3029, 540, 8192, 6775, 547, 5818, 1072, 5463, 476, 5400, 267, 476, 1001, 271, 1923, 711, 15951, 2943, 1923, 476, 271, 454, 268, 18289, 8226, 20460, 1243, 281, 4400, 1912, 328, 1198, 2591, 3964, 5163, 8226, 10054, 4455, 476, 2537, 267, 476, 1001, 274, 1923, 476, 274, 1315, 476, 276, 630, 273, 264, 1923, 476, 273, 454, 268, 32506, 596, 666, 798, 594, 666, 798, 1732, 281, 3026, 23757, 12817, 13210, 540, 519, 27166, 21903, 630, 10000, 11845, 264, 4455, 476, 6349, 267, 476, 1001, 274, 1923, 476, 275, 269, 276, 1315, 476, 276, 630, 1556, 264, 1923, 476, 276, 454, 268, 634, 3308, 1062, 607, 30168, 281, 22532, 4199, 14305, 538, 3308, 9542, 3057, 476, 1789, 267, 476, 1001, 274, 1923, 476, 276, 1315, 476, 276, 630, 273, 264, 1923, 476, 280, 454, 268, 9484, 26147, 2729, 281, 3026, 584, 4689, 543, 11248, 531, 12468, 335, 753, 1232, 537, 9482, 3057, 476, 2767, 267, 476, 1001, 274, 1923, 476, 275, 269, 280, 1315, 476, 276, 630, 279, 264, 1923, 476, 271, 454, 268, 590, 1944, 1919, 909, 281, 634, 12105, 5778, 321, 5735, 540, 4336, 23223, 766, 4924, 476, 2764, 267, 476, 1001, 274, 1923, 476, 275, 269, 279, 1315, 476, 276, 630, 1015, 264, 1923, 476, 1691, 454, 12218, 673, 543, 17747, 23317, 3842, 17389, 620, 613, 30944, 454, 14257, 476, 1428, 267, 476, 1001, 272, 594, 9364, 899, 547, 1930, 513, 4901, 8142, 585, 4528, 476, 273, 540, 519, 8908, 540, 1250, 1433, 15234, 12218, 673, 543, 17747, 23317, 3842, 17389, 620, 613, 30944, 262, 3299, 2139, 2228, 693, 5291, 2517, 17427, 331, 30784, 343, 643, 3820, 270, 11274, 270, 32146, 271, 269, 6200, 280, 2073, 543, 585, 519, 2483, 268, 2859, 689, 8212, 1280, 4548, 910, 18763, 3194, 454, 5415, 3377, 2984, 454, 23991, 15637, 540, 4587, 4079, 609, 12110, 616, 1447, 14129, 543, 741, 30181, 616, 4824, 593, 2395, 950, 12110, 2550, 4309, 2937, 1554, 2533, 630, 4696, 306, 1070, 2687, 547, 24282, 3557, 3173, 563, 10890, 476, 274, 3764, 3516, 1923, 711, 15951, 2943, 1923, 476, 271, 454, 11693, 519, 6286, 585, 519, 2949, 1072, 267, 1646, 267, 543, 4081, 1967, 540, 1453, 267, 3506, 1058, 1404, 513, 3119, 1909, 538, 4180, 602, 782, 1053, 723, 3255, 547, 4497, 538, 693, 2547, 476, 2568, 3764, 829, 1554, 540, 4429, 10890, 476, 2420, 3764, 3516, 1923, 711, 15951, 2943, 1923, 476, 271, 454, 7021, 476, 3583, 829, 1298, 540, 1004, 945, 3180, 513, 2123, 6578, 585, 1514, 1416, 1767, 621, 3366, 547, 3152, 7115, 543, 1489, 2687, 547, 519, 5767, 5619, 563, 10890, 476, 274, 3108, 3516, 1923, 711, 15951, 2943, 1923, 476, 271, 454, 288, 1007, 16335, 3498, 267, 2919, 676, 3744, 693, 519, 2160, 540, 21853, 3122, 267, 799, 1223, 948, 4587, 1004, 4497, 4628, 538, 606, 5051, 1582, 1606, 2925, 2486, 267, 949, 581, 4712, 585, 946, 676, 519, 1439, 540, 519, 4429, 10890, 476, 274, 3108, 3516, 1923, 711, 15951, 2943, 1923, 476, 271, 454, 288, 5618, 3308, 4305, 666, 3589, 21842, 267, 2687, 547, 513, 1007, 1353, 269, 901, 19599, 2241, 3635, 3800, 519, 2634, 781, 17499, 2702, 547, 6882, 856, 3308, 3350, 269, 634, 1353, 2982, 602, 2043, 4171, 4429, 1321, 3764, 3516, 1923, 711, 15951, 2943, 1923, 476, 271, 11406, 288, 1634, 7411, 538, 8165, 14798, 630, 22381, 264, 568, 519, 2702, 540, 519, 2770, 8290, 547, 4573, 622, 543, 3976, 859, 1228, 1585, 6527, 602, 941, 5892, 1336, 547, 581, 2500, 269, 12824, 693, 519, 12355, 2160, 540, 13243, 723, 4429, 272, 5662, 3516, 1923, 711, 15951, 2943, 1923, 476, 271, 11406, 288, 1353, 676, 3173 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 18154, 13585, 264, 2080, 781, 513, 1413, 4230, 520, 710, 28037, 1723, 632, 25832, 799, 16033, 919, 519, 11204, 17636, 17697, 519, 3943, 4230, 520, 710, 519, 11135, 540, 623, 29301, 320, 4448, 2904, 476, 276, 267, 476, 5908, 273, 269, 28037, 1723, 632, 25832, 568, 9976, 4448, 2904, 476, 276, 1142, 1032, 563, 290, 514, 1723, 632, 25832, 568, 5053, 585, 519, 476, 276, 628, 540, 2904, 563, 763, 11204, 3028, 2121, 615, 519, 19915, 540, 22695, 659, 1470, 2098, 541, 6210, 5633, 267, 733, 3319, 1373, 4130, 543, 2192, 25668, 5792, 267, 4465, 519, 4655, 4230, 520, 710, 519, 29109, 540, 623, 29301, 320, 4534, 4230, 597, 476, 5952, 5195, 7532, 20129, 540, 6792, 4975, 563, 290, 514, 1723, 632, 25832, 568, 711, 6792, 781, 3242, 1890, 942, 689, 8050, 267, 799, 7018, 3811, 476, 8687, 271, 543, 568, 9976, 4448, 5181, 476, 1626, 563, 1103, 6792, 267, 28037, 1723, 632, 25832, 568, 4767, 609, 22257, 18531, 543, 4655, 556, 10276, 716, 906, 563, 1103, 519, 476, 3422, 271, 338, 543, 476, 3192, 271, 338, 267, 519, 942, 2968, 4857, 609, 519, 932, 4618, 334, 2924, 2243, 3811, 519, 2136, 2276, 267, 3226, 3811, 519, 8128, 540, 4993, 563, 763, 942, 2968, 476, 272, 547, 7747, 17104, 6561, 563, 1103, 7523, 648, 4872, 3811, 519, 2136, 2276, 267, 8990, 616, 1612, 3547, 543, 7908, 8481, 10023, 544, 926, 25764, 2575, 267, 15472, 543, 11204, 1426, 269, 0, 24728, 4517, 20663, 630, 9802, 476, 1240, 267, 476, 1001, 272, 264, 2052, 1004, 5963, 1745, 519, 2104, 286, 3502, 2687, 547, 1007, 1382, 676, 11518, 9445, 22748, 1457, 689, 519, 2160, 540, 16713, 543, 9400, 2859, 344, 689, 519, 2160, 540, 717, 1258, 532, 523, 538, 519, 13814, 269, 4256, 1353, 3096, 513, 3209, 8579, 1935, 602, 3085, 1405, 1489, 6811, 602, 3063, 1606, 29022, 8226, 6818, 563, 19853, 960, 5526, 2228, 538, 519, 5369, 21978, 28743, 1299, 5623, 267, 3370, 676, 22219, 563, 7212, 3063, 1606, 29022, 8226, 630, 2464, 303, 264, 4667, 7543, 2016, 938, 1699, 3621, 1702, 267, 543, 6157, 8255, 4831, 547, 938, 4948, 1995, 267, 513, 3056, 18673, 267, 667, 776, 331, 645, 655, 540, 26658, 2160, 267, 568, 19101, 2963, 585, 661, 9915, 269, 22748, 1457, 543, 2859, 344, 1413, 693, 519, 4222, 540, 519, 2963, 538, 3220, 269, 645, 655, 781, 6901, 563, 19853, 3498, 540, 513, 5266, 1007, 8579, 1505, 602, 3067, 5809, 875, 4978, 1058, 1689, 538, 1769, 540, 1239, 267, 5267, 602, 972, 568, 1152, 16434, 2963, 3297, 3220, 269, 645, 655, 781, 4681, 630, 7474, 1004, 666, 1745, 267, 610, 2631, 267, 32330, 2621, 538, 519, 2104, 602, 1223, 711, 6382, 581, 17191, 267, 543, 3112, 581, 6045, 676, 4960, 4805, 1070, 6157, 711, 2614, 547, 32022, 519, 4978, 540, 513, 7729, 10364, 563, 5445, 5031, 519, 7687, 540, 6671, 8579, 4644, 4152, 630, 335, 2418, 1070, 543, 4019, 513, 1007, 4480, 630, 5471, 320, 12845, 3315, 3749, 7345, 525, 3815, 264, 547, 3220, 269, 645, 655, 781, 1239, 267, 799, 936, 3699, 930, 540, 891, 7687, 269, 4340, 547, 22748, 1457, 543, 2859, 344, 267, 538, 1931, 547, 8308, 2708, 519, 2698, 2963, 538, 645, 655, 781, 1239, 267, 621, 568, 2556, 547, 9192, 519, 2963, 2066, 1896, 540, 1010, 6901, 267, 711, 1413, 693, 1142, 835, 538, 10072, 267, 799, 568, 1018, 3173, 723, 2944, 909, 11489, 1631, 269, 1358, 1265, 972, 568, 930, 2963, 585, 661, 9915, 4534, 1004, 1058, 9337, 741, 4978, 676, 513, 3815, 540, 476, 2412, 563, 1103, 824, 1913, 267, 4978, 616, 12918, 269, 1280, 1383, 267, 513, 7729, 10364, 1522, 3180, 12918, 602, 661, 9915, 568, 513, 1279, 8929, 693, 513, 2929, 3562, 14633, 267, 1247, 513, 1825, 591, 1522, 3494, 621, 568, 607, 2009, 607, 711, 630, 821, 3562, 14633, 12918, 1040, 21894, 835, 781, 4978, 267, 22748, 1457, 543, 2859, 344, 1397, 602, 645, 655, 781, 6901, 5815, 789, 1058, 1689, 676, 513, 3815, 540, 476, 2412, 538, 3870, 540, 661, 9915, 269, 634, 1825, 591, 1058, 1631, 581, 476, 2412, 3562, 268, 272, 2386, 540, 661, 9915, 267, 1247, 519, 7729, 10364, 1058, 581, 476, 7742, 876, 3562, 268, 272, 2386, 1996, 621, 563, 305, 537, 1457, 543, 2859, 344, 9959, 602, 519, 16002, 923, 12918, 616, 3617, 281, 834, 2171, 2611, 14955, 9109, 1027, 540, 519, 23812, 540, 661, 9915, 269, 1703, 568, 1100, 26363, 7271, 585, 621, 267, 543, 621, 4667, 17591, 539, 676, 1134, 28175, 560, 656, 7007, 6436, 538, 1312, 6323, 543, 7350, 269, 18830, 713, 4282, 267, 513, 1689, 538, 12918, 540, 476, 2412, 568, 30050, 4799, 10387, 841, 610, 2671, 713, 1650, 912, 763, 1657, 1650, 568, 1065, 11781, 539, 630, 5976, 21107, 14624, 676, 15306, 663, 20663, 2593, 5234, 264, 689, 2326, 3177, 676, 22219, 3163, 266, 19968, 9012, 563, 268, 11518, 9445, 715, 269, 22748, 1457, 267, 9400, 667, 269, 2859, 344, 269, 589, 7345, 525, 3815, 13849, 20400, 540, 645, 655, 779, 661, 9915, 3409, 269, 5369, 21978, 28743, 1299, 5623, 267, 476, 1001, 272, 282, 20396, 281, 476, 1015, 269, 23841, 279, 4882, 16328, 2537, 268, 18733, 268, 25484, 279, 268, 278, 454, 9616, 281, 1403, 1100, 2278, 568, 2016, 267, 519, 2707, 568, 11855, 3079, 563, 11514, 25068, 281, 901, 2376, 568, 711, 5497, 547, 1683, 2564, 5796, 267, 5868, 610, 2126, 269, 14358, 6829, 1934, 798, 711, 8209, 2992, 1346, 540, 15306, 4517, 20663, 610, 922, 5234, 269, 0, 15933, 306, 12522, 5253, 26457, 10309, 910, 2605, 3805, 26457, 10309, 3244, 15975, 454, 268, 3244, 12885, 1426, 2837, 563, 268, 18323, 2039, 689, 910, 1839, 547, 476, 2412, 9180, 563, 268, 14168, 3562, 22345, 4336, 563, 268, 7822, 2275, 10757, 2127, 563, 268, 19019, 15015, 454, 763, 2653, 3562, 22345, 5253, 306, 12522, 568, 4998, 585, 1753, 610, 5010, 946, 267, 607, 621, 568, 6325, 267, 7347, 543, 31978, 545, 563, 763, 26282, 14509, 2837, 936, 519, 2039, 540, 910, 1839, 547, 476, 2412, 9180, 609, 606, 6111, 540, 13008, 272, 9180, 936, 519, 2039, 540, 910, 276, 547, 476, 736, 9180, 267, 476, 273, 9180, 27502, 563, 763, 26282, 568, 24428, 538, 513, 2312, 5068, 2013, 609, 2681, 2275, 10757, 10851, 602, 5815, 950, 519, 2837, 568, 1932, 3905, 563, 10376, 5253, 306, 12522, 26282, 568, 3331, 502, 1839, 1535, 476, 5611, 7825, 1164, 543, 2501, 13859, 609, 513, 4496, 13622, 585, 16304, 538, 513, 26806, 563, 288, 2757, 26806, 26282, 1152, 3800, 2011, 2837, 563, 1607, 568, 513, 2101, 1966, 1317, 4411, 2011, 568, 18219, 982, 3636, 2011, 543, 4061, 834, 17517, 856, 540, 519, 21067, 257, 607, 4166, 607, 519, 7450, 568, 8118, 563, 763, 5253, 306, 12522, 5253, 3244, 15975, 4676, 3419, 518, 1807, 26457, 10309, 568, 513, 3710, 2987, 21067, 26282, 602, 18715, 602, 621, 14509, 513, 2147, 2837, 547, 1426, 6740, 538, 519, 21067, 610, 22277, 14023, 730, 563, 11997, 267, 621, 568, 711, 1641, 547, 519, 2011, 2837, 2242, 602, 7363, 2049, 950, 519, 7450, 568, 1930, 563, 2005, 568, 519, 2837, 540, 1426, 602, 568, 1271, 538, 7303, 519, 2208, 540, 1426, 15464, 4551, 563, 305, 1052, 18737, 1839, 547, 476, 2412, 9180, 454, 16914, 5596, 281, 13008, 476, 272, 9180, 936, 910, 276, 547, 476, 736, 9180, 2039, 267, 476, 273, 9180, 27502, 454, 11514, 2452, 281, 12746, 4336, 454, 295, 17639, 281, 589, 7034, 5068, 454, 310, 1551, 656, 344, 281, 835, 1032, 454, 9288, 5501, 618, 4336, 281, 17622, 0, 268, 476, 272, 1215, 1082, 4654, 616, 9275, 538, 12868, 888, 268, 476, 273, 1548, 616, 519, 5216, 4654, 602, 616, 2808, 2101, 4654, 538, 12868, 888, 268, 476, 274, 1772, 12868, 4057, 888, 268, 476, 275, 1548, 568, 519, 1034, 9275, 1893, 538, 12868, 888, 268, 476, 276, 1548, 568, 12868, 1634, 585, 6721, 888, 268, 476, 277, 1548, 1893, 568, 2147, 547, 24414, 888, 268, 476, 278, 1548, 568, 519, 1292, 2528, 540, 12868, 888, 268, 476, 279, 4208, 1281, 12868, 711, 3717, 10656, 888, 268, 476, 280, 4208, 568, 12868, 865, 10464, 888, 268, 476, 1015, 1548, 568, 519, 30529, 851, 540, 12868, 888, 1692, 1082, 4654, 616, 9275, 538, 12868, 888, 2467, 616, 936, 476, 8517, 4654, 9275, 538, 12868, 2687, 547, 519, 476, 1001, 271, 14829, 269, 4033, 2959, 2015, 1896, 540, 891, 547, 581, 22463, 540, 519, 1482, 1893, 267, 543, 1397, 519, 1297, 540, 2189, 4654, 1373, 6251, 547, 476, 10384, 563, 1432, 616, 519, 5216, 4654, 602, 616, 2808, 2101, 4654, 538, 12868, 888, 292, 697, 4654, 723, 1044, 2808, 547, 581, 519, 2101, 3283, 281, 808, 24170, 3150, 267, 9530, 534, 3150, 267, 8496, 675, 572, 267, 15506, 752, 267, 3687, 836, 267, 7195, 4042, 267, 645, 1872, 529, 267, 543, 14465, 21186, 269, 5565, 1866, 1058, 581, 3773, 1310, 873, 281, 589, 576, 18255, 3150, 543, 590, 553, 752, 269, 634, 811, 519, 24414, 4654, 616, 11567, 267, 519, 811, 12102, 4654, 786, 581, 1336, 563, 3674, 12868, 4057, 888, 1103, 5181, 476, 1001, 278, 267, 12868, 779, 6710, 2557, 11542, 693, 476, 1015, 269, 1321, 4939, 267, 609, 930, 476, 2918, 269, 6812, 2929, 609, 930, 476, 1839, 2929, 1004, 2713, 2630, 519, 6710, 1899, 269, 1306, 540, 5181, 476, 1001, 279, 267, 519, 6710, 2557, 11542, 693, 476, 280, 269, 5780, 260, 630, 16341, 476, 1839, 2929, 1004, 1070, 519, 9803, 2479, 6592, 563, 1432, 568, 519, 1034, 9275, 1893, 538, 12868, 888, 6097, 547, 2551, 14829, 1239, 538, 476, 1001, 271, 267, 476, 9262, 2600, 540, 10582, 2103, 10294, 2933, 547, 581, 7332, 267, 4553, 676, 476, 280, 269, 9262, 2600, 945, 941, 4168, 269, 12868, 814, 519, 4102, 9099, 2551, 538, 519, 1158, 543, 585, 713, 2601, 568, 1419, 6444, 607, 513, 7332, 4182, 563, 1432, 568, 12868, 1634, 585, 6721, 888, 763, 2101, 1426, 7031, 267, 19486, 676, 1858, 19122, 267, 616, 7573, 267, 8970, 267, 22101, 6072, 267, 13386, 28369, 543, 30637, 269, 12868, 568, 849, 835, 540, 519, 1158, 779, 4102, 12696, 543, 1163, 13024, 540, 3529, 7031, 971, 607, 12285, 267, 2941, 571, 267, 13869, 737, 1716, 1564, 267, 13869, 3282, 267, 6995, 267, 23342, 543, 14546, 630, 14737, 3588, 540, 11982, 267, 476, 1220, 272, 1916, 1432, 1893, 568, 2147, 547, 24414, 888, 309, 665, 5879, 269, 24414, 607, 513, 2413, 13172, 540, 30017, 814, 22666, 8185, 689, 1082, 4654, 267, 1519, 281, 16130, 267, 12428, 267, 14655, 267, 14082, 267, 10656, 267, 4457, 543, 1082, 824, 4654, 267, 1519, 824, 3243, 1258, 14198, 4654, 563, 1432, 568, 519, 1292, 2528, 540, 12868, 888, 5715, 2158, 807, 568, 31344, 958, 2000, 11343, 2059, 3504, 9467, 11507, 1063, 519, 10787, 5101, 267, 3162, 5607, 543, 519, 5664, 5101, 267, 4611, 538, 1082, 2686, 2853, 1373, 9244, 6766, 676, 513, 21318, 540, 10764, 267, 1519, 13221, 267, 8567, 267, 25230, 22675, 267, 18420, 267, 543, 5771, 267, 782, 2178, 538, 519, 2101, 9467, 4872, 563, 3963, 1281, 12868, 711, 3717, 10656, 888, 291, 8553, 1893, 3609, 8959, 547, 1118, 10656, 606, 3486, 1893, 1317, 540, 922, 3668, 540, 5075, 269, 1703, 616, 7864, 982, 476, 1839, 2929, 10656, 10529, 267, 538, 519, 13814, 267, 674, 1633, 619, 267, 5080, 514, 877, 543, 519, 12144, 269, 16874, 12868, 1831, 10656, 18702, 607, 1134, 267, 972, 1131, 581, 476, 4968, 2929, 563, 3963, 568, 12868, 865, 10464, 888, 3383, 267, 1946, 568, 7195, 328, 865, 10464, 286, 7195, 328, 568, 5393, 10464, 1317, 3232, 9276, 616, 1259, 2539, 982, 538, 824, 2477, 269, 2725, 1023, 267, 20730, 11623, 267, 10918, 267, 3560, 12375, 267, 543, 1169, 824, 13258, 616, 782, 1454, 14949, 269, 2991, 9273, 267, 621, 3790, 1472, 1269, 3199, 9489, 829, 1554, 547, 2661, 513, 1390, 1272, 538, 7195, 328, 563, 1432, 568, 519, 30529, 851, 540, 12868, 888, 10932, 543, 4681, 269, 962, 9609, 752, 21840, 267, 827, 476, 4335, 21240, 689, 12868, 779, 3854, 32021, 21840, 267, 568, 519, 30529, 11662, 593, 10084, 269, 4706, 6710, 2557, 6763, 693, 476, 1556, 269, 10037, 2600, 267, 2362, 519, 3084, 4137, 269, 0, 763, 2816, 540, 513, 1544, 1676, 568, 547, 948, 538, 8108, 513, 3376, 3804, 538, 2486, 610, 3919, 269, 1411, 616, 4397, 547, 1685, 4681, 267, 1374, 267, 543, 3048, 622, 3292, 269, 6884, 267, 596, 949, 723, 547, 13404, 593, 513, 1906, 6009, 899, 8600, 6283, 269, 769, 824, 2665, 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 ]
[ 519, 1079, 616, 11029, 281, 519, 5842, 31883, 814, 5835, 29744, 838, 1149, 1421, 1247, 519, 3131, 12320, 1014, 814, 513, 15454, 268, 880, 835, 269, 4634, 741, 5810, 8428, 281, 519, 5842, 31883, 814, 3677, 5810, 602, 1332, 593, 1283, 540, 519, 2030, 267, 1247, 519, 3131, 12320, 1014, 9428, 922, 5810, 538, 13421, 693, 519, 5377, 540, 922, 8371, 563, 5445, 1312, 723, 513, 2147, 2681, 543, 616, 3421, 267, 543, 789, 2461, 1312, 3728, 21212, 6241, 541, 2249, 563, 763, 5842, 31883, 28693, 568, 513, 20369, 32676, 545, 2030, 602, 814, 1044, 1031, 585, 7067, 543, 3909, 2820, 1588, 538, 519, 1656, 525, 15142, 3148, 585, 936, 476, 274, 267, 1822, 1296, 269, 898, 568, 3006, 11821, 609, 922, 2673, 3448, 661, 24739, 18462, 829, 12320, 10005, 630, 8110, 12320, 1014, 23290, 28693, 1040, 5637, 2371, 616, 1360, 1804, 6241, 541, 21728, 328, 267, 855, 741, 5810, 543, 2360, 616, 3833, 1114, 563, 9989, 519, 3131, 12320, 1014, 11197, 595, 716, 639, 20531, 8065, 1075, 5209, 888, 763, 3131, 12320, 1014, 11945, 28693, 267, 849, 1634, 607, 661, 24739, 18462, 3131, 1075, 716, 639, 610, 3131, 12320, 1014, 8776, 577, 595, 716, 639, 267, 568, 513, 5065, 2030, 540, 519, 1656, 6756, 7823, 3148, 538, 3162, 3013, 269, 898, 814, 1044, 1031, 585, 5553, 676, 6805, 1004, 538, 18475, 543, 15231, 2477, 585, 16392, 543, 3909, 5301, 269, 634, 28693, 3568, 8544, 5632, 710, 267, 513, 6923, 9648, 20369, 32676, 545, 30175, 1355, 602, 666, 2014, 26390, 5209, 267, 12012, 11994, 267, 543, 4606, 540, 552, 25045, 18319, 563, 763, 946, 540, 3131, 12320, 1014, 11945, 28693, 538, 2757, 1656, 6756, 4915, 568, 1134, 13006, 543, 621, 814, 1044, 1031, 547, 1521, 513, 3099, 540, 22074, 1519, 8611, 267, 12263, 267, 543, 2960, 5563, 269, 769, 1840, 547, 922, 16392, 3601, 267, 519, 28693, 814, 849, 1044, 1031, 538, 3909, 18428, 676, 6805, 1004, 538, 18475, 267, 30643, 267, 543, 16266, 269, 634, 28693, 568, 2808, 10723, 543, 568, 5156, 547, 723, 5289, 543, 7067, 3601, 563, 1103, 2487, 1296, 267, 519, 3131, 12320, 1014, 11945, 28693, 814, 6591, 8560, 607, 513, 16351, 3075, 1813, 547, 922, 20369, 32676, 545, 2360, 269, 898, 568, 1419, 10057, 538, 519, 1106, 540, 513, 7401, 610, 8869, 267, 543, 922, 946, 814, 1044, 2404, 609, 5289, 2833, 543, 2123, 2208, 269, 1717, 267, 922, 946, 666, 849, 581, 5906, 543, 666, 1291, 547, 8801, 2360, 971, 607, 15353, 267, 13481, 267, 543, 4160, 563, 14454, 267, 519, 3131, 12320, 1014, 11945, 28693, 814, 513, 1279, 1686, 540, 946, 676, 6805, 1004, 538, 3162, 3013, 585, 16392, 543, 3909, 5301, 269, 4706, 946, 607, 513, 16351, 3075, 814, 1831, 811, 2442, 538, 2487, 1296, 267, 855, 922, 2360, 666, 581, 20437, 543, 5732, 5906, 563, 1432, 1772, 519, 11660, 8745, 540, 912, 763, 3131, 12320, 1014, 11945, 28693, 630, 10193, 1634, 607, 513, 6241, 541, 267, 6241, 267, 21963, 28693, 267, 543, 1866, 264, 814, 519, 3621, 2012, 24583, 639, 829, 12320, 1014, 639, 563, 26596, 31883, 28693, 888, 763, 2442, 28693, 661, 24739, 18462, 533, 778, 8457, 328, 630, 27675, 269, 2558, 747, 334, 576, 516, 639, 533, 778, 8457, 328, 264, 568, 1634, 676, 1082, 4408, 267, 1034, 4122, 2048, 26596, 31883, 28693, 17483, 1692, 30460, 6496, 513, 912, 8110, 12320, 1014, 28693, 1332, 888, 13349, 8745, 281, 3131, 12320, 1014, 11197, 595, 716, 639, 269, 4033, 1455, 4408, 1331, 24583, 639, 13957, 5174, 5979, 4040, 595, 716, 639, 267, 11197, 595, 716, 639, 267, 670, 8354, 595, 716, 639, 267, 543, 3131, 12320, 1014, 10326, 595, 716, 639, 269, 27551, 281, 476, 1428, 12664, 547, 476, 1789, 12664, 630, 326, 992, 619, 1210, 2030, 7028, 723, 6603, 15627, 540, 476, 8099, 12664, 1040, 12618, 281, 21826, 569, 2810, 563, 303, 539, 549, 28693, 1332, 888, 294, 4900, 909, 547, 476, 1015, 268, 736, 10264, 269, 7381, 630, 4968, 268, 7785, 4699, 264, 543, 476, 276, 268, 277, 10264, 269, 2647, 630, 5611, 268, 5197, 4699, 1040, 966, 580, 5387, 267, 5842, 31883, 595, 716, 639, 666, 1332, 476, 1321, 538, 563, 2691, 9701, 594, 3115, 582, 912, 8110, 12320, 1014, 11945, 28693, 454, 763, 1101, 3364, 547, 798, 568, 4444, 513, 8799, 1494, 585, 707, 2030, 269, 1411, 666, 1065, 582, 519, 1762, 2371, 1169, 1032, 538, 5614, 269, 4495, 789, 9921, 267, 596, 786, 1152, 991, 547, 1065, 582, 873, 1169, 1906, 1296, 267, 2141, 3001, 547, 513, 1494, 2450, 1175, 5594, 3677, 563, 2691, 14450, 267, 581, 6297, 711, 547, 936, 21226, 621, 256, 898, 2115, 1463, 7943, 829, 1554, 267, 855, 1118, 2386, 621, 1281, 711, 1205, 1932, 3905, 1282, 713, 942, 22924, 666, 26650, 538, 6505, 7943, 256, 634, 1655, 4087, 585, 513, 3131, 12320, 1014, 11197, 595, 716, 639, 568, 538, 4395, 540, 513, 6885, 602, 4991, 2047, 6534, 547, 519, 3141, 563, 288, 2489, 4341, 540, 14853, 568, 547, 1065, 582, 1169, 476, 273, 547, 476, 275, 1296, 269, 1403, 596, 6992, 1125, 12422, 267, 519, 8545, 568, 811, 3617, 855, 952, 596, 1810, 1406, 6992, 1125, 267, 1065, 582, 538, 1079, 1296, 547, 25579, 880, 3037, 12680, 269, 634, 1655, 942, 568, 1282, 3742, 2208, 538, 5130, 610, 5988, 563, 1607, 2030, 666, 7639, 538, 3592, 1022, 3037, 607, 1279, 607, 621, 28368, 1134, 543, 568, 711, 1494, 27995, 269, 1656, 952, 596, 3442, 267, 596, 666, 1256, 1332, 621, 1494, 1540, 538, 1216, 269, 11048, 267, 1065, 31857, 786, 5555, 581, 2556, 547, 1832, 707, 5842, 31883, 2635, 543, 6126, 563, 3080, 1292, 2601, 585, 1065, 31857, 513, 5842, 31883, 568, 547, 1832, 519, 2030, 689, 3395, 1932, 1804, 585, 922, 8708, 269, 589, 9921, 2030, 949, 723, 5072, 602, 6445, 519, 1494, 543, 2253, 547, 2736, 998, 519, 5377, 936, 942, 269, 3683, 942, 267, 971, 5072, 1831, 7925, 547, 1373, 8697, 676, 2837, 2242, 543, 4232, 1282, 5712, 540, 3819, 1145, 610, 952, 789, 616, 711, 24760, 538, 1216, 1419, 2614, 269, 901, 666, 1291, 547, 519, 2669, 540, 519, 2030, 543, 922, 5072, 563, 1692, 13518, 6129, 454, 8110, 12320, 1014, 11945, 28693, 454, 2005, 568, 5227, 602, 713, 2030, 581, 2016, 476, 279, 266, 3108, 540, 1463, 7943, 829, 1554, 269, 1924, 267, 952, 596, 723, 621, 538, 513, 5544, 1141, 972, 779, 711, 1454, 3141, 693, 782, 267, 596, 949, 991, 547, 1065, 582, 621, 538, 606, 1858, 602, 4991, 811, 1769, 269, 1403, 519, 3762, 616, 4358, 547, 1205, 513, 2370, 6960, 630, 2254, 8209, 12015, 909, 267, 855, 899, 789, 4076, 1044, 14616, 1070, 2119, 4758, 707, 2030, 811, 7943, 269, 634, 2030, 1058, 1376, 3168, 8902, 4166, 2336, 26596, 31883, 28693, 568, 513, 24526, 267, 8373, 6954, 30362, 269, 898, 666, 1332, 476, 1321, 538, 269, 630, 1789, 4699, 264, 829, 1032, 267, 543, 621, 779, 2653, 547, 1294, 1946, 269, 7111, 547, 519, 1656, 525, 10239, 540, 3162, 3013, 267, 5842, 31883, 630, 339, 5341, 334, 576, 516, 639, 533, 778, 8457, 328, 264, 568, 835, 540, 519, 1034, 10980, 2389, 26985, 2371, 596, 666, 1332, 563, 26596, 31883, 3085, 1406, 991, 1454, 3141, 547, 581, 6126, 22924, 786, 21707, 538, 1769, 12094, 1282, 519, 3905, 4832, 3275, 267, 1818, 621, 519, 3501, 2030, 585, 513, 3579, 267, 13566, 9486, 650, 610, 513, 695, 8014, 1273, 1470, 269, 1403, 596, 8910, 899, 547, 1332, 513, 5842, 31883, 602, 9428, 2786, 909, 3079, 540, 856, 2072, 630, 663, 3976, 10953, 513, 3170, 3490, 1070, 2285, 621, 607, 1454, 3141, 607, 2009, 1282, 5614, 543, 4832, 543, 607, 2370, 607, 2009, 1282, 2887, 543, 5162, 563, 8110, 12320, 1014, 11197, 595, 716, 639, 454, 8110, 12320, 1014, 11945, 28693, 267, 610, 661, 24739, 18462, 829, 12320, 10005, 538, 922, 3621, 562, 32393, 1155, 267, 568, 513, 2249, 540, 28693, 5065, 547, 519, 1656, 525, 538, 3162, 3013, 269, 898, 779, 849, 1044, 1031, 585, 2757, 4915, 269, 634, 4829, 568, 6653, 543, 10169, 30861, 267, 899, 513, 2699, 11945, 282, 621, 779, 849, 1572, 10348, 540, 519, 13957, 538, 930, 10580, 269, 898, 779, 2653, 547, 1294, 1946, 281, 922, 2699, 2681, 568, 7524, 543, 621, 666, 2063, 585, 3108, 1310, 1373, 13603, 689, 519, 2030, 563, 4322, 2934, 1118, 621, 606, 4998, 11134, 585, 16560, 5301, 16280, 267, 2523, 1282, 519, 2887, 4005, 269, 1717, 267, 596, 1058, 581, 6297, 1472, 10130, 543, 824, 2713, 1919, 267, 607, 519, 838, 1149, 616, 3833, 8325, 543, 666, 2014, 5945, 952, 596, 1205, 1932, 2673, 547, 741, 11710, 610, 3762, 563, 307, 16464, 640, 281, 6348, 1729, 13877, 1107, 1498, 5225, 1491, 883, 7156, 838, 1149, 1472, 1453, 563, 26596, 31883, 595, 716, 639, 454, 763, 5842, 31883, 595, 716, 328, 616, 20715, 1317, 5842, 31883, 595, 716, 639, 3568, 513, 26390, 514, 4094, 1572, 8544, 5632, 710, 267, 799, 568, 849, 1336, 538, 824, 2249, 540, 3212, 344, 1774, 543, 700, 2684, 641, 1817, 320, 269, 634, 2360, 540, 12379, 5632, 710, 1331, 26390, 5209, 267, 552, 25045, 18319, 267, 2790, 10539, 267, 606, 12012, 2631, 540, 942, 267, 513, 2530, 540, 6302, 1063, 13951, 543, 519, 5007, 1158, 267, 607, 1134, 607, 15353, 950, 10057, 609, 4568, 563, 8110, 12320, 1014, 11197, 595, 716, 639, 454, 2252, 596, 1616, 547, 1332, 707, 1378, 3131, 12320, 1014, 11945, 28693, 267, 596, 949, 991, 547, 3542, 3729, 621, 3054, 22924, 779, 711, 513, 1582, 1790, 3326, 3215, 2030, 269, 634, 5810, 616, 1804, 267, 29549, 267, 543, 1930, 693, 3781, 282, 713, 1797, 602, 519, 2030, 3340, 26853, 689, 824, 3131, 12320, 1014, 11945, 21728, 4926, 610, 2147, 2249, 267, 971, 607, 24583, 639, 11918, 659, 541, 340, 610, 24583, 639, 670, 843, 10458, 1014, 639, 563, 2467, 616, 1896, 3781, 25199, 971, 607, 29700, 267, 13733, 267, 543, 16835, 563, 2252, 596, 2648, 2371, 609, 513, 1650, 3297, 873, 267, 5842, 31883, 568, 519, 835, 585, 596, 269, 901, 4190, 3043, 8768, 9428, 3552, 538, 519, 1656, 525, 267, 1141, 9649, 23832, 18346, 3542, 3729, 621, 269, 4595, 519, 23832, 18346, 616, 27248, 543, 1360, 6213, 547, 1769, 267, 789, 3406, 585, 22060, 1310, 4158, 563, 4263, 546, 23677, 267, 519, 5810, 1930, 538, 942, 547, 1683, 519, 5017, 609, 6266, 540, 22060, 28559, 952, 596, 2461, 3206, 540, 8380, 891, 3083, 625, 538, 707, 4677, 267, 581, 2264, 281, 789, 1152, 16036, 693, 3781, 267, 799, 666, 581, 3833, 606, 9642, 8289, 952, 596, 2461, 711, 1031, 547, 621, 256, 2334, 1767, 267, 952, 707, 8378, 3085, 1406, 723, 1022, 3781, 1532, 5979, 4040, 2371, 543, 596, 1616, 547, 1995, 1945, 5963, 8966, 267, 5842, 31883, 568, 4502, 513, 2119, 563, 4692, 1411, 16202, 595, 716, 639, 22500, 454, 8110, 12320, 1014, 11197, 595, 716, 639, 454, 763, 4829, 568, 17580, 267, 609, 513, 8137, 10169, 899, 606, 11945, 610, 737, 12685, 328, 269, 898, 568, 25836, 543, 9428, 3833, 1134, 538, 938, 1858, 4849, 950, 649, 723, 513, 15470, 610, 19068, 563, 290, 716, 639, 568, 513, 2442, 23732, 585, 5321, 543, 4213, 7567, 269, 1809, 1705, 596, 917, 602, 21728, 328, 616, 849, 17580, 286, 634, 4829, 540, 1034, 21728, 328, 568, 2922, 547, 3548, 267, 1498, 930, 8677, 609, 838, 1149, 1058, 581, 14284, 563, 8448, 2010, 540, 21728, 328, 616, 711, 17580, 269, 3212, 344, 1774, 2073, 12157, 643, 1014, 23290, 630, 292, 24739, 18462, 829, 12320, 10005, 1070, 543, 5842, 31883, 630, 307, 5341, 334, 576, 516, 639, 533, 778, 8457, 328, 264, 616, 1614, 4122, 2139, 21728, 328, 602, 2270, 8544, 5632, 710, 282, 4189, 873, 666, 2014, 2168, 2800, 610, 16578, 2247, 17038, 18146, 2833, 563, 1692, 798, 596, 2697, 454, 8110, 12320, 1014, 8776, 577, 28693, 454, 5445, 616, 20425, 21728, 328, 602, 7936, 689, 519, 3490, 543, 666, 3914, 476, 1015, 7397, 630, 1789, 3952, 264, 538, 4463, 269, 1358, 1459, 476, 277, 547, 476, 279, 2647, 543, 17031, 28937, 267, 17642, 880, 616, 3421, 267, 476, 274, 547, 476, 278, 24293, 838, 1149, 267, 543, 476, 272, 268, 273, 1279, 3844, 838, 1149, 282, 2311, 519, 30085, 540, 519, 28693, 972, 568, 513, 968, 309, 892, 8032, 25034, 566, 563, 26596, 31883, 28693, 454, 763, 5842, 31883, 595, 716, 639, 568, 513, 6241, 541, 2030, 267, 621, 568, 1360, 4839, 3481, 543, 922, 6565, 568, 3039, 269, 898, 666, 1332 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 717, 1778, 540, 17865, 454, 20826, 476, 1839, 267, 476, 1001, 276, 763, 2257, 3297, 27041, 1423, 572, 5726, 454, 20826, 476, 1428, 267, 476, 1001, 276, 15862, 540, 519, 10432, 281, 9697, 693, 519, 22750, 540, 6611, 454, 20826, 476, 272, 267, 476, 1001, 276, 20776, 21215, 6475, 2623, 949, 1291, 547, 1007, 2829, 540, 2339 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 621, 1310, 782, 596, 991, 2792, 547, 4444, 543, 6133, 2472, 267, 596, 991, 547, 5968, 602, 596, 616, 9513, 1945, 267, 543, 875, 1454, 596, 616, 9513, 621, 585, 267, 547, 6707, 14892, 513, 9042, 543, 865, 593, 454, 268, 898, 568, 4061, 711, 2653, 6862, 2009, 547, 9688, 519, 3483, 540, 2792, 538, 1870, 563, 268, 1717, 930, 540, 519, 3096, 540, 2792, 538, 1870, 1331, 912, 268, 9523, 6176, 281, 2290, 540, 519, 3119, 5301, 540, 2792, 538, 1870, 568, 547, 2671, 1344, 269, 901, 666, 1331, 10311, 593, 2754, 2773, 267, 2242, 538, 4507, 610, 5773, 267, 610, 10311, 593, 3785, 269, 19457, 1344, 2337, 2327, 602, 3025, 538, 519, 3919, 568, 593, 519, 1482, 2985, 543, 814, 1569, 547, 519, 1344, 789, 991, 547, 798, 741, 6009, 3927, 269, 1280, 1383, 267, 513, 9614, 15920, 856, 513, 12353, 4757, 547, 741, 2319, 609, 10311, 593, 519, 3356, 540, 5571, 3785, 543, 1022, 2242, 538, 14422, 563, 268, 12706, 17716, 281, 9442, 666, 849, 948, 1628, 3347, 1063, 5520, 267, 6887, 267, 543, 13623, 269, 1635, 4687, 2093, 267, 23712, 267, 543, 2502, 538, 1930, 2792, 267, 5520, 666, 1628, 3972, 543, 3715, 2178, 2324, 3347, 269, 1280, 1383, 267, 513, 2319, 540, 8030, 6585, 513, 12353, 23730, 8400, 1141, 789, 2671, 2093, 267, 2709, 5955, 267, 543, 12840, 593, 1007, 3785, 563, 268, 5269, 5463, 2888, 281, 13229, 2792, 568, 2565, 950, 621, 2501, 547, 1818, 3664, 538, 513, 1870, 269, 1635, 4687, 1344, 267, 7234, 3681, 267, 543, 1151, 545, 1746, 5955, 267, 6887, 666, 1118, 5483, 3664, 602, 616, 538, 519, 1655, 4690, 540, 519, 3919, 269, 1280, 1383, 267, 513, 2754, 6585, 513, 5870, 547, 1865, 1761, 1942, 24408, 1154, 3800, 269, 1635, 1151, 545, 1746, 5955, 689, 1585, 13623, 267, 789, 616, 2111, 547, 1118, 5483, 3664, 602, 7413, 519, 1764, 593, 5520, 1247, 1869, 8236, 741, 2883, 3853, 563, 268, 7763, 10675, 543, 18918, 281, 9442, 666, 849, 581, 1031, 547, 18663, 543, 4497, 5520, 269, 1635, 4687, 519, 2754, 779, 5075, 267, 5692, 267, 543, 2418, 267, 5520, 666, 1745, 513, 2631, 540, 3483, 543, 4287, 269, 3958, 267, 9301, 543, 14120, 9441, 18517, 666, 948, 5818, 27907, 543, 8404, 269, 1280, 1383, 267, 513, 9614, 6585, 513, 2319, 5870, 547, 5431, 606, 9441, 945, 4682, 1657, 543, 3564, 593, 513, 2487, 1788, 269, 1635, 15597, 14344, 741, 2182, 960, 267, 519, 9614, 568, 2111, 547, 5818, 27907, 543, 18663, 519, 2319, 547, 3136, 7900, 693, 513, 1164, 1377, 563, 268, 1763, 9876, 18366, 281, 9442, 666, 849, 581, 1031, 547, 8207, 4655, 538, 513, 1870, 269, 1635, 2502, 538, 1930, 543, 9237, 2792, 267, 6887, 666, 960, 998, 22195, 543, 1265, 3435, 602, 616, 20102, 6225, 269, 1280, 1383, 267, 1079, 5520, 723, 513, 24895, 936, 875, 547, 1935, 513, 1788, 269, 1635, 2502, 538, 1930, 2792, 543, 7234, 741, 18312, 16752, 267, 789, 616, 2111, 547, 1265, 513, 3070, 602, 16621, 1312, 540, 741, 2093, 543, 2164, 538, 513, 3811, 1788, 6364, 563, 268, 9442, 568, 513, 2565, 2460, 540, 1022, 1870, 269, 1635, 1620, 519, 3483, 540, 2792, 543, 16107, 621, 3927, 267, 3906, 666, 2087, 5698, 267, 3375, 6194, 267, 543, 2949, 2773, 563, 18704, 901, 9452, 267, 7994, 2659, 25957, 256, 0, 5327, 328, 717, 31649, 267, 513, 9976, 5057, 540, 2757, 4095, 5986, 267, 814, 12236, 922, 1747, 711, 1152, 607, 513, 29316, 11477, 20013, 855, 849, 607, 513, 2707, 540, 7415, 9422, 2640, 269, 901, 11344, 1714, 1460, 597, 814, 1044, 19644, 585, 5553, 267, 543, 922, 4644, 4422, 3564, 922, 3638, 267, 27598, 6492, 269, 769, 713, 2376, 267, 649, 3513, 5490, 883, 519, 9422, 543, 11477, 13300, 540, 2677, 328, 717, 31649, 267, 3695, 922, 3140, 5072, 267, 1072, 2640, 267, 543, 922, 3498, 538, 2413, 11951, 563, 4462, 792, 2251, 519, 17959, 540, 2677, 328, 717, 31649, 454, 5327, 328, 717, 31649, 267, 1419, 5219, 547, 3274, 607, 575, 31649, 267, 814, 2620, 3140, 5072, 538, 4095, 2528, 269, 898, 568, 513, 1106, 540, 5587, 1881, 7423, 602, 814, 1044, 1031, 585, 5553, 538, 2757, 4095, 25072, 545, 4915, 267, 543, 621, 3788, 513, 4105, 3693, 540, 4095, 11951, 269, 634, 2262, 834, 5327, 328, 257, 4016, 547, 1945, 6805, 610, 2199, 267, 10771, 519, 2757, 2470, 540, 713, 11537, 12146, 563, 763, 3203, 540, 22548, 2305, 454, 294, 31649, 568, 3812, 998, 513, 1184, 540, 27792, 267, 799, 3322, 31652, 532, 7423, 547, 5094, 519, 7423, 325, 520, 689, 519, 5144, 17571, 543, 1216, 269, 634, 1267, 568, 513, 6986, 267, 11344, 5277, 609, 513, 3638, 267, 2428, 1399, 24710, 543, 513, 1164, 8673, 1448, 267, 1818, 621, 5078, 585, 1585, 5986, 2409, 267, 1519, 31068, 267, 1094, 583, 2946, 532, 267, 543, 2620, 1922, 11538, 563, 5327, 328, 717, 31649, 568, 811, 982, 1175, 513, 8949, 1840, 547, 707, 8286, 282, 621, 781, 14095, 609, 1898, 5567, 602, 2709, 3875, 1072, 2640, 912, 272, 269, 13245, 674, 1846, 912, 294, 31649, 5097, 5161, 540, 15459, 9600, 267, 855, 711, 782, 15459, 9600, 616, 2813, 3160, 269, 898, 3568, 513, 1713, 2179, 540, 2635, 15459, 9600, 267, 971, 607, 5420, 7302, 664, 27831, 1938, 630, 300, 6311, 338, 1070, 799, 616, 1634, 547, 1683, 2656, 1648, 543, 616, 1447, 2693, 547, 581, 6740, 607, 1560, 3170, 563, 273, 269, 6762, 538, 15310, 4149, 20107, 23554, 7530, 912, 294, 31649, 568, 606, 5140, 2707, 540, 3170, 30320, 8324, 267, 3226, 8324, 589, 267, 667, 267, 661, 267, 543, 918, 269, 1452, 8324, 616, 1898, 585, 1585, 15629, 3252, 267, 1519, 4761, 1489, 267, 5642, 1072, 267, 543, 2960, 5826, 563, 274, 269, 4675, 2176, 6226, 3878, 912, 1103, 25072, 545, 4915, 267, 575, 31649, 568, 5156, 547, 1489, 2635, 12536, 269, 898, 666, 19149, 622, 519, 9667, 8778, 267, 8897, 19228, 267, 543, 2087, 519, 10338, 540, 5567, 689, 824, 3536, 563, 275, 269, 14640, 24493, 11987, 16544, 912, 294, 31649, 3568, 855, 344, 3433, 267, 513, 2110, 7302, 664, 9761, 3679, 1634, 585, 922, 4550, 13611, 3601, 269, 898, 666, 948, 2569, 6553, 538, 519, 1560, 543, 949, 581, 6225, 585, 2043, 609, 1978, 12982, 2175, 563, 276, 269, 32587, 846, 543, 8865, 514, 6363, 872, 912, 763, 27792, 1184, 540, 575, 31649, 18788, 519, 5144, 17571, 267, 1818, 621, 513, 5078, 4781, 585, 2043, 945, 616, 26178, 703, 26985, 610, 723, 5144, 3940, 11959, 269, 898, 25601, 519, 3638, 267, 855, 6670, 8137, 1510, 519, 16609, 3334, 563, 290, 592, 2435, 18903, 540, 2677, 328, 717, 31649, 454, 5327, 328, 717, 31649, 781, 11477, 17545, 11498, 3564, 4095, 11951, 269, 4706, 1164, 8673, 1448, 2306, 621, 513, 9735, 3903, 585, 31068, 543, 1094, 583, 2946, 532, 267, 1247, 922, 3638, 267, 2428, 1399, 8137, 10597, 519, 6492, 540, 513, 2647, 2039, 540, 8286, 269, 2913, 781, 2263, 930, 540, 519, 11477, 13300, 540, 575, 31649, 912, 272, 269, 17828, 585, 590, 2246, 2946, 532, 912, 294, 31649, 781, 1164, 8673, 1448, 267, 1472, 476, 14596, 13790, 630, 22446, 9180, 1070, 2636, 621, 547, 2226, 922, 8699, 950, 1094, 583, 2946, 532, 5820, 269, 898, 791, 11301, 513, 8748, 3178, 540, 8137, 547, 5388, 267, 16469, 267, 543, 9274, 563, 273, 269, 26758, 585, 674, 11538, 912, 763, 2702, 547, 16641, 1164, 5210, 2306, 575, 31649, 606, 5140, 3903, 585, 31068, 269, 3245, 5743, 6853, 533, 752, 23768, 547, 11344, 3943, 535, 1845, 267, 575, 31649, 5849, 513, 17175, 29511, 563, 274, 269, 4469, 822, 712, 995, 538, 645, 1136, 912, 1103, 11256, 267, 575, 31649, 666, 5372, 7423, 610, 3282, 547, 1039, 513, 10058, 8137, 543, 513, 5905, 540, 2428, 339, 1465, 547, 12897, 267, 25394, 267, 543, 2250, 1845, 563, 275, 269, 12411, 8684, 538, 2677, 328, 2598, 1127, 912, 8170, 1576, 267, 575, 31649, 568, 513, 4105, 5057, 538, 2757, 4095, 8286, 899, 546, 531, 267, 1225, 1845, 267, 543, 2840, 12505, 529, 269, 4706, 3638, 6492, 543, 2702, 547, 4163, 519, 10366, 540, 14546, 1118, 621, 606, 16832, 12146, 563, 276, 269, 31514, 28064, 2725, 1023, 912, 294, 31649, 666, 21592, 4948, 6980, 899, 26545, 16940, 5798, 267, 28777, 5388, 267, 610, 513, 2241, 12826, 540, 7573, 547, 513, 1007, 1377, 540, 8137, 563, 763, 15952, 2334, 21150, 3672, 28673, 281, 10609, 531, 7371, 584, 454, 2690, 1346, 5275, 8076, 2677, 328, 717, 31649, 602, 20206, 12885, 519, 9759, 540, 2757, 4095, 5986, 267, 10609, 531, 7371, 584, 568, 513, 2012, 547, 3314, 269, 10609, 531, 7371, 584, 267, 609, 922, 2620, 268, 549, 6838, 7029, 547, 8497, 2085, 6040, 11477, 5389, 267, 3091, 513, 2647, 5542, 540, 14167, 2298, 2677, 328, 717, 31649, 602, 6770, 19911, 28101, 543, 13597, 547, 2413, 6539, 29353, 563, 5327, 328, 717, 31649, 568, 513, 3020, 11477, 14951, 267, 7184, 11251, 538, 519, 2686, 543, 9422, 5958, 540, 3127, 269, 4706, 3638, 1686, 267, 11684, 11477, 3156, 267, 543, 11141, 9422, 9043, 1118, 621, 513, 1796, 719, 12146, 602, 25186, 10665, 563, 2026, 649, 3136, 547, 2263, 519, 11477, 1158, 543, 3406, 585, 8076, 267, 27357, 5820, 267, 621, 781, 1271, 547, 5431, 519, 4644, 540, 2677, 328, 717, 31649, 269, 10609, 531, 7371, 584, 267, 609, 922, 7029, 547, 8497, 2245, 543, 5356, 14167, 267, 568, 513, 6216, 602, 17358, 519, 2686, 2956, 543, 519, 6492, 540, 713, 19644, 12146, 563, 3383, 267, 519, 1985, 942, 596, 7832, 593, 513, 11477, 7045, 610, 3343, 547, 1102, 2224, 707, 8286, 609, 519, 10366, 540, 2245, 267, 2015, 519, 17381, 269, 10609, 531, 7371, 584, 781, 2677, 328, 717, 31649, 267, 609, 922, 5072, 538, 2245, 543, 513, 5075, 585, 519, 2104, 267, 568, 519, 3501, 3903, 585, 1346, 945, 5660, 519, 3020, 13300, 540, 713, 11344, 1714, 1460, 597, 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 ]
[ 689, 519, 1533, 543, 1244, 7035, 545, 1242, 2021, 779, 6469, 5107, 269, 901, 1433, 786, 581, 540, 1719, 547, 5640, 540, 6214, 267, 4008, 267, 519, 7622, 267, 8474, 267, 543, 5771, 538, 3979, 1686, 563, 763, 3735, 5498, 1203, 7570, 543, 2038, 32732, 7570, 5553, 941, 606, 5393, 24360, 942, 585, 25878, 1977, 4095, 2516, 269, 11569, 267, 1063, 519, 15713, 540, 519, 8176, 16011, 12733, 2059, 519, 5045, 9533, 5032, 538, 476, 15757, 271, 543, 519, 12176, 540, 519, 26232, 848, 324, 2782, 538, 476, 14378, 276, 267, 2068, 267, 13137, 267, 543, 7372, 2551, 771, 2897, 906, 13497, 12012, 519, 1514, 267, 2797, 267, 543, 2804, 5251, 540, 519, 3003, 3148, 269, 901, 4320, 12116, 2152, 540, 2528, 3346, 543, 1514, 3961, 676, 3695, 875, 713, 26093, 1974, 5129, 856, 538, 519, 3232, 2729, 540, 31180, 10820, 267, 2523, 1346, 14155, 730, 693, 519, 24104, 754, 3135, 538, 9456, 17906, 563, 300, 2117, 26919, 2090, 519, 1570, 3788, 540, 3232, 1272, 538, 1931, 547, 2697, 519, 2994, 602, 10820, 21892, 1247, 15268, 547, 519, 1514, 267, 2797, 267, 543, 2804, 21463, 2404, 609, 3864, 3346, 269, 634, 2278, 6212, 593, 10820, 607, 519, 2596, 4559, 540, 2079, 1317, 891, 2099, 519, 1034, 4909, 543, 24245, 1770, 540, 2804, 543, 1514, 2504, 538, 519, 15456, 2594, 269, 3571, 13753, 1397, 875, 519, 3232, 2729, 540, 31180, 10820, 4957, 13497, 607, 789, 2941, 539, 609, 519, 13346, 1514, 267, 2797, 267, 543, 2804, 14768, 540, 519, 2053, 269, 1261, 9727, 602, 519, 2146, 14155, 730, 693, 519, 24104, 754, 3135, 729, 4646, 676, 19366, 10820, 945, 3357, 1927, 689, 32321, 19635, 543, 17801, 1227, 3982, 31180, 17260, 607, 513, 1259, 547, 993, 601, 1640, 622, 2551, 9271, 269, 1261, 849, 7710, 2242, 538, 2146, 543, 7622, 1273, 614, 940, 267, 6029, 875, 519, 8901, 3919, 540, 519, 24104, 754, 2146, 2968, 1447, 6101, 543, 875, 10820, 2968, 811, 23644, 3379, 547, 2950, 2392, 908, 3346, 609, 17417, 269, 3245, 713, 2963, 267, 16205, 26919, 20147, 602, 891, 2242, 2992, 513, 6626, 7580, 6521, 547, 513, 811, 8465, 6197, 602, 1131, 723, 29211, 31180, 10820, 538, 27410, 519, 1514, 267, 2797, 267, 543, 2804, 10462, 540, 519, 1974, 563, 305, 3770, 338, 543, 590, 3563, 3125, 338, 8761, 519, 5892, 896, 24713, 1221, 1158, 540, 5418, 2041, 1014, 2582, 2021, 543, 2582, 1922, 24580, 32567, 10820, 538, 7810, 11204, 4683, 7740, 269, 29760, 593, 519, 2539, 3235, 3559, 976, 540, 2486, 267, 2549, 657, 23729, 3022, 15109, 1946, 930, 1455, 518, 2021, 7283, 2582, 543, 3964, 741, 1378, 4775, 32567, 10820, 267, 6313, 741, 2189, 27964, 543, 1582, 3146, 30005, 725, 689, 1585, 7285, 563, 300, 1122, 3022, 23607, 891, 2021, 779, 1272, 2984, 6592, 1282, 519, 5053, 769, 638, 9974, 267, 607, 1134, 607, 786, 338, 543, 581, 638, 3949, 267, 4620, 1431, 267, 25110, 5638, 267, 543, 4357, 5022, 602, 4766, 24568, 741, 1378, 1913, 1765, 6011, 789, 27361, 8116, 538, 5256, 26730, 3990, 543, 3909, 5624, 269, 25927, 725, 540, 2824, 6054, 543, 18913, 2079, 9414, 519, 2175, 538, 799, 2021, 15702, 741, 22888, 267, 7283, 538, 1279, 18835, 970, 1090, 541, 1388, 1071, 4725, 14591, 267, 543, 4646, 4775, 21445, 10820, 543, 968, 338, 3563, 3125, 338, 892, 540, 741, 1378, 269, 23729, 3022, 2488, 2963, 602, 2582, 2021, 538, 7810, 6792, 5129, 513, 2484, 811, 3742, 543, 3844, 1909, 538, 2804, 1949, 267, 1514, 3906, 267, 1381, 338, 267, 543, 2797, 17933, 982, 814, 1044, 5892, 2219, 267, 2870, 5624, 585, 2933, 538, 799, 789, 1223, 20006, 543, 2226, 13190, 543, 2418, 3982, 689, 1346, 540, 16918, 2486, 563, 763, 12250, 1436, 540, 4775, 32567, 10820, 538, 4571, 12258, 11102, 6792, 1185, 2647, 8573, 4474, 29854, 543, 2360, 593, 2489, 6848, 2418, 269, 681, 3770, 338, 543, 590, 3563, 3125, 338, 3877, 519, 1880, 10083, 540, 891, 2242, 547, 519, 1686, 540, 4664, 267, 14920, 267, 4008, 2035, 267, 11994, 540, 7365, 267, 1272, 5079, 267, 543, 5784, 540, 8956, 543, 17847, 538, 7810, 2486, 269, 901, 1433, 786, 581, 540, 1713, 1719, 547, 1053, 543, 5640, 540, 7810, 5824, 1977, 1686, 267, 519, 1686, 540, 7216, 7073, 8050, 543, 2342, 267, 543, 4008, 543, 2021, 779, 2090, 563, 15152, 5600, 3835, 6554, 454, 300, 269, 18466, 548, 808, 19128, 1777, 24261, 12370, 2160, 4964, 267, 476, 1001, 273, 7732, 540, 6837, 22671, 4792, 280, 273, 8160, 6858, 476, 1001, 273, 1923, 1546, 28838, 27252, 476, 3607, 275, 269, 14631, 6021, 278, 24496, 3445, 274, 454, 763, 8830, 30808, 941, 711, 607, 11112, 2384, 532, 741, 12543, 685, 2623, 607, 26637, 1408, 8316, 25079, 610, 1082, 2038, 1977, 12206, 1131, 723, 721, 3494, 269, 18227, 741, 1378, 10820, 538, 1899, 13026, 1932, 1454, 540, 741, 942, 269, 7201, 5600, 3835, 6554, 8761, 602, 1920, 2818, 3576, 593, 519, 1909, 540, 4585, 323, 9233, 538, 6927, 540, 4638, 967, 529, 17917, 563, 4462, 325, 13399, 9534, 1964, 2803, 519, 1920, 543, 922, 1082, 3029, 543, 10096, 547, 513, 3844, 1747, 538, 519, 1686, 540, 3162, 5607, 1063, 519, 27867, 543, 13524, 5553, 563, 1103, 1200, 1651, 529, 633, 4367, 267, 1473, 3757, 328, 932, 2660, 329, 2465, 13187, 602, 519, 2487, 5763, 540, 14172, 593, 14940, 267, 14920, 267, 4008, 267, 22030, 267, 543, 13348, 8944, 538, 3162, 5607, 1282, 519, 7810, 1974, 1419, 6772, 23697, 6297, 3140, 2079, 540, 519, 3810, 29653, 1523, 540, 1920, 269, 8625, 267, 519, 3594, 538, 713, 1433, 23542, 880, 834, 26967, 257, 607, 606, 7493, 1523, 538, 3162, 7489, 7810, 1686, 267, 11744, 922, 9765, 5944, 1114, 10096, 2066, 13796, 543, 10923, 2230, 563, 763, 14172, 538, 713, 4320, 8761, 513, 2484, 811, 1950, 1305, 540, 6384, 982, 513, 2241, 9352, 1063, 6805, 543, 7810, 3029, 543, 3889, 269, 898, 4485, 713, 1353, 689, 519, 840, 12258, 11102, 1974, 593, 267, 2864, 982, 23651, 607, 814, 1044, 519, 2013, 609, 3105, 14172, 269, 11762, 1331, 513, 3703, 7810, 11464, 945, 9310, 513, 28753, 531, 15626, 30513, 543, 10736, 547, 5771, 1472, 519, 2490, 540, 519, 13524, 2540, 267, 519, 1909, 575, 1601, 760, 543, 9184, 5622, 1404, 538, 519, 5250, 540, 4095, 1920, 1686, 267, 543, 606, 2079, 540, 1514, 1894, 538, 519, 10336, 12733, 593, 519, 1656, 16120, 11866, 563, 4407, 3237, 6108, 1713, 942, 607, 1134, 607, 2724, 593, 1453, 267, 1034, 9193, 540, 519, 834, 322, 739, 257, 540, 1453, 11716, 519, 1871, 540, 713, 942, 269, 23205, 3691, 2488, 513, 1376, 1782, 569, 1164, 855, 7357, 23674, 7447, 540, 519, 1871, 540, 15366, 942, 829, 1126, 676, 6998, 1018, 621, 1131, 1942, 547, 6718, 513, 13380, 12990, 585, 621, 563, 26156, 3979, 21220, 323, 698, 10676, 630, 307, 1122, 6767, 24065, 264, 7153, 607, 513, 4105, 10120, 4123, 4099, 1354, 922, 7771, 538, 519, 31303, 2540, 5084, 269, 6987, 13208, 14155, 730, 543, 10483, 676, 513, 1804, 1560, 540, 3370, 1570, 267, 21220, 323, 698, 10676, 2488, 513, 2189, 4316, 585, 519, 3498, 540, 7622, 22884, 547, 513, 4639, 3979, 11175, 269, 1635, 6313, 519, 2679, 9696, 540, 519, 3110, 2787, 23838, 267, 609, 741, 9687, 2230, 782, 23148, 267, 713, 1395, 1748, 9727, 875, 519, 7622, 4559, 538, 21220, 323, 698, 10676, 2992, 11385, 908, 1514, 3919, 543, 2804, 2175, 563, 1607, 15834, 4320, 2488, 513, 3140, 543, 3486, 5943, 585, 1620, 519, 4657, 1909, 540, 2021, 538, 519, 2797, 4346, 540, 5824, 3013, 543, 519, 12144, 269, 634, 20334, 4161, 519, 2757, 4507, 267, 3853, 267, 543, 2360, 540, 1646, 267, 543, 4983, 971, 3584, 607, 19525, 543, 2021, 781, 1016, 867, 1588, 282, 519, 6402, 547, 2804, 267, 1514, 267, 543, 2797, 3466, 538, 3345, 3013, 282, 519, 575, 25311, 6498, 540, 6976, 543, 10002, 4660, 960, 282, 18312, 2804, 3889, 267, 2686, 543, 1362, 3270, 282, 2021, 781, 6896, 4187, 282, 543, 519, 2078, 540, 4008, 547, 1362, 267, 5198, 267, 543, 14940, 14672, 1049, 640, 269, 0, 291, 665, 6242, 28411, 320, 523, 18757, 3679, 630, 291, 11190, 264, 568, 513, 1279, 7302, 664, 4874, 12584, 18260, 9761, 3679, 5631, 1336, 538, 3165, 3282, 269, 4014, 1896, 2090, 723, 6700, 602, 621, 666, 13468, 14711, 2589, 267, 922, 7271, 540, 2962, 3788, 547, 581, 19286, 730, 269, 769, 519, 1459, 1353, 267, 649, 1336, 602, 2703, 6242, 28411, 320, 523, 1195, 331, 19844, 29524, 630, 291, 4047, 288, 1070, 513, 8311, 924, 540, 667, 11190, 3812, 538, 519, 1480, 1560, 267, 11851, 338, 519, 4550, 22433, 21544, 2534, 538, 20117, 543, 538, 24155, 269, 667, 4047, 288, 26793, 2554, 3757, 1637, 540, 3731, 1666, 30858, 26679, 681, 13993, 268, 273, 295, 274, 2281, 543, 5642, 20768, 23402, 15958, 2281, 538, 513, 9570, 17466, 6073, 1510, 11118, 25570, 640, 269, 901, 7018, 1813, 547, 513, 6175, 538, 6970, 273, 266, 27614, 267, 799, 568, 2565, 585, 15958, 1591, 2554, 3757, 1637, 269, 667, 4047, 288, 849, 26793, 16384, 292, 24975, 12809, 2759, 10389, 606, 20942, 9471, 5114, 538, 8983, 269, 769, 1840, 267, 667, 4047, 288, 729, 7152, 547, 24390, 606, 13027, 10835, 538, 513, 10856, 2203, 540, 3542, 514, 2670, 543, 547, 7369, 519, 2504, 540, 16384, 292, 543, 29299, 9658, 1540, 676, 10943, 523, 14231, 6394, 689, 519, 3542, 514, 2670, 8983, 269, 570, 2586, 1927, 267, 713, 1353, 6920, 602, 667, 4047, 288, 568, 513, 9621, 4550, 22433, 21544, 8665, 607, 621, 29620, 15958, 1591, 2554, 3757, 1637, 543, 1110, 12885, 824, 4761, 2281, 563, 763, 9860, 540, 13027, 3676, 814, 1044, 2810, 5001, 936, 519, 2063, 1906, 5756, 269, 1280, 1383, 267, 519, 6871, 540, 519, 2551, 609, 12119, 13027, 28591, 4345, 267, 835, 540, 519, 1034, 1455, 13027, 3676, 538, 519, 2551, 540, 3567, 267, 814, 13497, 2799, 689, 476, 866, 269, 277, 260, 23500, 538, 476, 1960, 279, 547, 476, 3066, 269, 279, 260, 538, 476, 1220, 10037, 269, 6684, 267, 538, 2342, 267, 693, 2547, 476, 1839, 260, 540, 1153, 21943, 1453, 723, 606, 13027, 2068, 273, 269, 2353, 21544, 3676, 8451, 607, 513, 12343, 540, 16384, 292, 24975, 28810, 27383, 547, 513, 1808, 6784, 523, 274, 543, 616, 1419, 2404, 609, 606, 15176, 2298, 540, 1272, 269, 634, 8427, 8069, 4122, 1031, 547, 1521, 16384, 292, 24975, 13027, 3676, 1331, 4550, 7290, 26952, 267, 15958, 1591, 11689, 9088, 267, 543, 824, 5061, 269, 4014, 4550, 7290, 26952, 616, 519, 1034, 4122, 11311, 3075, 585, 993, 601, 1640, 908, 13027, 2589, 267, 789, 3006, 2014, 8801, 2360, 971, 607, 546, 4900, 1465, 543, 14331, 275, 269, 2353, 1120, 523, 6375, 8839, 568, 849, 513, 1761, 2126, 585, 11959, 267, 4352, 972, 568, 513, 1981, 540, 3978, 8801, 2360, 543, 519, 3169, 6127, 5817, 6784, 523, 6375, 8839, 616, 1869, 711, 4625, 19286, 730, 269, 21298, 267, 1426, 5820, 609, 4550, 22433, 1458, 2534, 616, 19788, 3007, 1317, 789, 666, 581, 9108, 1031, 1279, 2165, 609, 1100, 610, 2370, 8801, 2360, 267, 4352, 741, 12117, 607, 4550, 22433, 1458, 2534, 568, 9793, 950, 3379, 547, 31534, 269, 1452, 1426, 5820, 1223, 581, 513, 1259, 547, 6175, 519, 10335, 540, 930, 13027, 2589, 267, 971, 607, 1346, 1644, 547, 13027, 28591, 4345, 563, 3080, 971, 1426, 12146, 568, 3165, 3282, 269, 589, 1297, 540, 16917, 8344, 2090, 723, 8612, 602, 3165, 4616, 568, 2404, 609, 8519, 9860, 540, 11959, 276, 267, 277, 269, 9022, 6242, 28411, 320, 523, 18757, 3679, 610, 667, 11190, 16733, 275, 313, 267, 278, 313, 267, 1015, 313, 267, 1724, 313, 267, 1626, 313, 267, 866, 313, 9984, 25269, 6242, 268, 275, 267, 278, 267, 1015, 267, 1724, 267, 1626, 267, 866, 13463, 343, 320, 523, 18757, 3679, 267, 8431, 269, 476, 272, 264, 568, 513, 1279, 7302, 664, 4874, 12584, 18260, 9761, 3679, 5631, 1336, 538, 3165, 3282, 267, 543, 1896, 2090, 723, 6700, 602, 621, 949, 581, 1271, 538, 519, 5786, 540, 11959, 277, 267, 278, 543, 723, 6700, 2009, 6127, 540, 2962, 279, 267, 280, 282, 2705, 267, 519, 7271, 5817, 519, 4550, 22433, 1458, 1198, 540, 667, 11190, 1869, 3788, 547, 581, 4625, 19286, 730, 269, 15742, 667, 11190, 31571, 267, 971, 607, 2149, 514, 543, 5543, 9109, 3812, 538, 519, 1480, 1560, 267, 723, 1044, 4080, 547, 3895, 519, 6571, 540, 6553, 1015, 269, 769, 1840, 267, 14668, 2000, 514, 18036, 545, 3679, 543, 552, 545, 657, 777, 31980, 523, 18757, 3679, 267, 799 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 13182, 9163, 3927, 454, 290, 269, 18964, 20208, 543, 4259, 7182, 454, 268, 5510, 1359, 2645, 585, 5716, 547, 3715, 25919, 543, 942, 7687, 454, 268, 26472, 4656, 540, 519, 4220, 2404, 609, 7050, 13989, 692, 4353, 269, 25895, 21992, 906, 538, 6215, 582, 26682, 454, 288, 269, 15932, 7089, 9198, 2209, 630, 305, 7582, 338, 994, 268, 23496, 14619, 543, 17674, 1464, 538, 3014, 4093, 454, 289, 269, 31853, 2861, 2609, 5610, 454, 268, 28038, 7317, 2934, 8506, 6345, 3403, 543, 4640, 454, 290, 269, 14044, 18712, 630, 23623, 1070, 4119, 7757, 18712, 630, 2752, 1070, 543, 14464, 11106, 630, 9590, 264, 3156, 454, 268, 10289, 6932, 4066, 262, 1764, 593, 2104, 7835, 692, 309, 269, 16373, 11150, 585, 16629, 16394, 543, 6215, 582, 10724, 15051, 454, 288, 269, 5900, 24219, 543, 20808, 5561, 454, 268, 15043, 14017, 3292, 543, 12587, 1949, 454, 268, 12861, 15138, 2833, 998, 21044, 6272, 543, 2502, 6386, 454, 289, 269, 30855, 1239, 12642, 543, 6075, 4030, 454, 268, 22718, 6345, 7375, 543, 5615, 547, 20688, 17008, 9935, 454, 268, 14146, 532, 6098, 3260, 687, 543, 15314, 1759, 593, 26409, 7355, 454, 290, 269, 19484, 9431, 10850, 543, 11758, 12302, 3604, 454, 268, 3281, 2391, 609, 2199, 4031, 12044, 10229, 543, 5106, 540, 13989, 6703, 454, 268, 853, 11691, 32448, 540, 9687, 6042, 7133, 519, 2872, 5251, 692, 1103, 3932, 267, 13215, 519, 1148, 540, 7463, 7231, 538, 18921, 6191, 3322, 16565, 1702, 3564, 6071, 11707, 269, 898, 3340, 15334, 538, 2127, 971, 607, 3743, 11080, 2853, 267, 6639, 10124, 267, 543, 7580, 6725, 2553, 269, 3414, 11826, 1353, 543, 3946, 6823, 2259, 267, 14971, 4308, 619, 666, 24917, 741, 6791, 1247, 7700, 25006, 547, 519, 6422, 7706, 540, 1884, 2294, 543, 2445, 17156, 9140, 267, 9513, 267, 14193, 2388, 267, 543, 4308, 619, 4721, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 300, 525, 514, 18921, 740, 531, 1695, 7989, 664, 534, 737, 553, 3626, 533, 2718, 17069, 518, 1019, 546, 684, 807, 267, 22678, 1731, 1019, 737, 553, 3626, 29593, 520, 544, 879, 335, 684, 2228, 269, 1530, 22894, 836, 740, 320, 682, 6798, 327, 546, 926, 476, 272, 269, 1822, 8544, 514, 18921, 2228, 267, 2165, 553, 4157, 18921, 476, 274, 3146, 601, 737, 20393, 1731, 267, 18921, 3381, 476, 276, 3146, 601, 15854, 476, 278, 3146, 601, 21583, 682, 6798, 327, 3046, 340, 267, 1775, 4149, 331, 1824, 954, 752, 339, 604, 267, 15854, 13544, 13607, 1322, 637, 604, 269, 1520, 320, 536, 1415, 752, 4050, 344, 4215, 829, 836, 330, 520, 561, 684, 752, 8544, 514, 538, 328, 267, 2165, 553, 4157, 5843, 326, 5446, 267, 7464, 5384, 717, 5446, 267, 7591, 15306, 267, 30988, 5303, 267, 15854, 645, 1601, 9012, 563, 297, 11986, 1656, 320, 512, 752, 583, 740, 320, 1183, 322, 663, 10224, 267, 1656, 320, 3771, 639, 2367, 322, 926, 536, 656, 10224, 1527, 525, 1308, 2150, 4157, 1509, 518, 30231, 533, 655, 1731, 597, 534, 269, 595, 926, 575, 14442, 536, 8538, 698, 328, 1019, 737, 558, 22780, 553, 1656, 320, 21583, 544, 1263, 9725, 2967, 1236, 17458, 2150, 4157, 4759, 328, 1656, 320, 1183, 322, 663, 10224, 1656, 320, 269, 3131, 9080, 1014, 740, 531, 1695, 1183, 322, 663, 10224, 21583, 546, 777, 520, 771, 10603, 7795, 16988, 15854, 581, 828, 23981, 16051, 534, 4050, 9080, 328, 22007, 1695, 829, 22080, 2150, 4157, 544, 1263, 23022, 16988, 3339, 15854, 1509, 523, 340, 6062, 31423, 338, 2426, 563, 303, 523, 9080, 328, 536, 1069, 29569, 1695, 544, 2426, 7219, 513, 16988, 10874, 9080, 328, 533, 3385, 1094, 520, 829, 11535, 534, 15854, 986, 10937, 18921, 1035, 4673, 737, 327, 639, 639, 269, 667, 807, 2367, 724, 629, 7416, 534, 530, 752, 339, 684, 5984, 10874, 9080, 328, 1094, 520, 10874, 12221, 584, 2150, 4157, 536, 619, 656, 2967, 267, 15854, 13276, 4821, 11792, 320, 737, 5142, 529, 2150, 4157, 1509, 25975, 520, 546, 597, 4176, 320, 795, 879, 327, 682, 6798, 327, 22678, 1731, 269, 28635, 10652, 752, 267, 546, 807, 2367, 724, 629, 7416, 534, 682, 6798, 327, 536, 1415, 752, 530, 752, 14654, 10874, 9080, 328, 29593, 760, 320, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 22492, 1242, 20958, 518, 16869, 1047, 257, 607, 851, 540, 834, 3198, 2316, 27309, 1299, 23333, 28421, 2316, 13993, 2464, 1315, 11370, 3539, 1299, 590, 2454, 1315, 30080, 2388, 1299, 20958, 619, 4721, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 17345, 5149, 281, 4197, 11038, 2598, 26918, 21976, 692, 5331, 596, 2811, 9494, 909, 707, 27108, 547, 4444, 513, 1007, 11332, 269, 1411, 960, 2182, 585, 707, 2724, 267, 865, 596, 1616, 547, 1118, 2386, 621, 781, 1373, 1031, 9425, 543, 25473, 269, 2334, 781, 1018, 2883, 23930, 4170, 616, 782, 827, 256, 1358, 948, 2327, 602, 4213, 543, 3906, 2995, 519, 5168, 827, 741, 18083, 267, 1175, 899, 596, 1131, 950, 9140, 1945, 1271, 609, 707, 1378, 2724, 780, 26296, 23930, 4170, 616, 3652, 1500, 676, 6608, 1472, 519, 1158, 269, 1452, 3652, 2161, 602, 3549, 1590, 2671, 1344, 827, 875, 1454, 2724, 789, 4312, 12236, 267, 6170, 267, 543, 10710, 269, 901, 2337, 1004, 1294, 952, 3388, 568, 4023, 543, 9237, 269, 1809, 1946, 1281, 713, 2339, 286, 1656, 945, 2306, 891, 3652, 286, 2913, 781, 2263, 1346, 2055, 1927, 2439, 1262, 3963, 9701, 14992, 9523, 4256, 5685, 1734, 15140, 9617, 607, 596, 9327, 1405, 1616, 2576, 14084, 827, 519, 1942, 540, 707, 1007, 11332, 267, 9520, 630, 15161, 945, 2322, 741, 2724, 883, 513, 1870, 15691, 547, 7118, 811, 264, 1810, 1405, 1616, 547, 581, 561, 1221, 547, 2901, 269, 1635, 4687, 4977, 2883, 9623, 267, 3549, 666, 1628, 3972, 609, 9520, 269, 5994, 952, 513, 2754, 4769, 1405, 1397, 922, 3020, 15271, 1107, 621, 1522, 1205, 2476, 609, 621, 2899, 267, 855, 4166, 1100, 835, 1131, 1902, 538, 873, 1317, 18864, 1131, 3494, 1018, 789, 1767, 256, 12968, 17965, 5012, 547, 1279, 3856, 1967, 780, 4537, 2130, 2883, 3877, 849, 14014, 3025, 3238, 269, 1403, 972, 729, 1100, 1259, 547, 2638, 2436, 513, 2754, 1185, 2614, 2724, 547, 2628, 1394, 12029, 267, 930, 31081, 652, 3283, 1522, 10210, 1932, 1454, 543, 1287, 3111, 547, 23231, 269, 1879, 4213, 979, 896, 1813, 547, 3983, 3664, 610, 25314, 534, 1771, 267, 6009, 14897, 267, 543, 2950, 7985, 269, 1924, 267, 2348, 2312, 2883, 5638, 2640, 1312, 1367, 4213, 543, 2486, 693, 1804, 780, 1262, 8005, 24439, 17610, 24371, 7591, 12876, 15140, 294, 4261, 906, 1711, 4031, 8506, 2883, 11413, 269, 1280, 1383, 267, 1577, 781, 1413, 693, 3013, 269, 634, 1530, 15247, 543, 16510, 8189, 630, 306, 4488, 264, 13327, 525, 8051, 2853, 1369, 519, 2197, 269, 12846, 267, 2094, 1082, 2475, 3549, 7500, 18368, 267, 789, 991, 547, 1246, 4914, 25937, 6042, 1932, 269, 1677, 1832, 1919, 2241, 267, 1034, 2477, 946, 2147, 3741, 1572, 21781, 4338, 630, 23744, 20504, 539, 19098, 14362, 6393, 4913, 267, 1256, 609, 971, 4808, 267, 3604, 1063, 6082, 2154, 11941, 269, 2368, 2477, 11168, 7453, 7834, 282, 1866, 1445, 593, 2407, 10333, 269, 11154, 532, 547, 1142, 4182, 781, 2189, 2796, 5849, 14619, 1247, 18245, 2686, 8155, 780, 3719, 7227, 1862, 6343, 4523, 952, 513, 2754, 13290, 547, 12404, 1945, 286, 4270, 267, 2912, 6002, 2097, 883, 1404, 256, 10748, 6002, 616, 4648, 8036, 547, 4983, 2883, 6054, 5702, 269, 6145, 3713, 1161, 10478, 585, 10881, 267, 789, 13182, 1169, 1297, 267, 2256, 18967, 267, 543, 11834, 269, 1403, 4376, 4667, 1055, 267, 2912, 6002, 8495, 2417, 267, 4543, 2226, 8699, 2429, 519, 1184, 780, 1262, 18600, 2622, 7151, 910, 2037, 1258, 20280, 531, 4373, 1103, 476, 1220, 272, 267, 606, 1648, 9649, 3957, 2037, 1258, 25540, 1310, 15720, 17542, 538, 7963, 269, 7767, 832, 4503, 6634, 267, 5215, 540, 5520, 4503, 741, 6009, 267, 543, 1004, 7691, 519, 2956, 540, 12001, 2883, 8989, 269, 4595, 1287, 267, 31749, 3652, 723, 1044, 8045, 11451, 267, 4180, 1732, 4027, 585, 3025, 3238, 269, 12267, 899, 2037, 1258, 7618, 721, 1946, 649, 991, 2178, 11974, 543, 21356, 538, 1747, 780, 1262, 4131, 781, 1234, 5115, 256, 4373, 265, 11038, 23930, 4170, 948, 1711, 3972, 1063, 4213, 543, 9520, 563, 265, 3690, 8001, 2883, 8989, 28863, 1996, 12611, 543, 7028, 2804, 6617, 563, 265, 22749, 17997, 891, 3652, 998, 8041, 899, 519, 22444, 267, 799, 1568, 7258, 3486, 13413, 563, 265, 8617, 32116, 1683, 3606, 23388, 267, 20414, 9073, 1354, 789, 1831, 2042, 780, 8855, 938, 11332, 21658, 286, 9861, 9237, 827, 18083, 1797, 8156, 3025, 781, 5092, 1765, 31347, 942, 267, 4674, 267, 610, 4890, 6666, 1765, 5976, 1416, 543, 2463, 269, 1306, 2104, 6800, 267, 17037, 267, 543, 5310, 14693, 1870, 5411, 267, 1620, 2883, 23930, 4170, 5036, 596, 593, 3950, 2509, 5100, 3375, 6194, 543, 3743, 15114, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 13563, 19884, 26831, 454, 5228, 700, 9680, 292, 19534, 454, 1607, 949, 2491, 1946, 267, 2394, 5063, 267, 1514, 3744, 723, 5059, 267, 3079, 267, 593, 21910, 267, 536, 686, 25053, 267, 900, 2041, 3960, 2211, 267, 543, 824, 3029, 540, 2229, 13313, 1141, 519, 2832, 568, 2123, 23918, 2864, 982, 1514, 1852, 267, 851, 16388, 5413, 267, 610, 2797, 1379, 269, 769, 1022, 2680, 267, 519, 1888, 568, 6213, 1317, 621, 12651, 2055, 827, 519, 7881, 540, 1283, 3401, 543, 5267, 602, 1977, 9111, 949, 581, 538, 4278, 718, 547, 3297, 7308, 27214, 25333, 6354, 2827, 563, 10214, 952, 1382, 593, 519, 3390, 941, 547, 15739, 9016, 454, 341, 13895, 24242, 6436, 267, 621, 1223, 4492, 2527, 524, 2106, 6291, 543, 24183, 454, 322, 643, 1006, 538, 1857, 11407, 3274, 676, 1818, 24242, 6436, 513, 454, 5586, 527, 1493, 1641, 585, 1857, 7156, 269, 5062, 10111, 20321, 1143, 3833, 5693, 454, 12047, 2970, 730, 519, 12178, 15054, 547, 9111, 676, 796, 8455, 1194, 267, 2196, 12537, 454, 3147, 639, 725, 540, 931, 2869, 31247, 7080, 545, 687, 563, 763, 18322, 1308, 5873, 902, 593, 4826, 22017, 267, 519, 5783, 9730, 779, 8906, 827, 10363, 6469, 13178, 267, 543, 519, 2027, 21991, 12781, 685, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 29642, 1299, 18598, 1315, 4139, 1315, 19098, 1315, 11038, 2598, 26918, 21976, 585, 14579, 8606, 902, 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, 6092, 5149, 281, 10289, 7087, 16520, 26492, 998, 1546, 24645, 17826, 692, 1103, 713, 1576, 1770, 267, 649, 786, 5490, 883, 519, 3638, 5339, 5389, 540, 6805, 9082, 540, 25725, 6816, 630, 10193, 1634, 607, 3345, 3013, 264, 676, 6313, 1232, 565, 11102, 6965, 269, 3414, 2673, 13220, 540, 5697, 9954, 543, 6278, 609, 2565, 14172, 267, 649, 786, 2263, 875, 891, 1568, 4161, 7810, 6386, 267, 29379, 2686, 6561, 267, 543, 4952, 1007, 20304, 585, 6805, 2950, 269, 1635, 1298, 1359, 938, 2079, 1472, 519, 6249, 540, 28160, 1436, 267, 649, 2832, 547, 6536, 513, 4514, 7071, 585, 519, 6043, 543, 5876, 540, 6805, 5159, 1247, 9691, 10452, 593, 5571, 2152, 7133, 741, 2950, 780, 272, 269, 4197, 20616, 1143, 543, 1546, 24645, 640, 692, 2414, 2253, 267, 1577, 721, 3715, 13654, 8847, 585, 1883, 2474, 269, 20616, 1143, 4016, 547, 519, 3140, 1184, 17929, 3864, 7060, 3964, 2797, 267, 2804, 267, 543, 1514, 1852, 936, 1875 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7705, 281, 19850, 7585, 256, 594, 4862, 596, 4682, 593, 513, 7552, 547, 16157, 5063, 269, 1215, 729, 621, 2496, 7692, 281, 7937, 267, 7705, 267, 621, 729, 5863, 256, 1809, 594, 4862, 1945, 4277, 1247, 594, 729, 972, 269, 4658, 6854, 6158, 827, 875, 519, 8701, 12217, 616, 3257, 5386, 267, 1256, 1498, 930, 2161, 789, 2461, 13155, 1317, 540, 2518, 8337, 269, 1548, 798, 596, 1589, 827, 602, 2496, 8334, 281, 4270, 267, 7585, 267, 649, 666, 946, 938, 1455, 2631, 547, 1174, 713, 1732, 269, 3689, 267, 1577, 781, 2911, 827, 1018, 968, 754, 11139, 892, 1797, 269, 1879, 3744, 2161, 606, 3662, 568, 13155, 267, 621, 1797, 972, 5749, 1406, 1082, 2451, 267, 543, 789, 1223, 14897, 4166, 952, 649, 1810, 1406, 2149, 873, 780, 7692, 281, 9406, 267, 899, 519, 5774, 320, 610, 519, 24052, 23914, 1354, 649, 5280, 873, 269, 1809, 596, 1767, 1945, 20868, 910, 602, 930, 1004, 1589, 8701, 12217, 616, 3257, 15502, 286, 5213, 1406, 789, 2661, 2282, 519, 3345, 24504, 1141, 621, 779, 3478, 28555, 2496, 8334, 281, 8786, 267, 602, 779, 1318, 269, 2368, 11570, 5855, 602, 2518, 8337, 1522, 581, 13621, 1932, 1454, 4672, 267, 799, 2306, 621, 9875, 585, 8701, 12217, 547, 6968, 20910, 1107, 741, 5172, 1426, 269, 1717, 267, 1866, 8044, 602, 8701, 12217, 616, 22537, 7068, 543, 666, 6023, 2242, 538, 741, 1604, 7168, 1134, 780, 7692, 281, 670, 7825, 332, 1862, 1924, 945, 1058, 649, 3494, 286, 1772, 972, 513, 1259, 547, 917, 585, 2386, 2496, 8334, 281, 2334, 779, 513, 1390, 2243, 267, 7585, 256, 12207, 960, 2731, 2182, 547, 5531, 1344, 543, 1118, 13473, 7058, 525, 827, 1018, 786, 4755, 538, 519, 2104, 269, 1358, 1353, 2831, 267, 2371, 267, 4365, 3270, 267, 543, 811, 269, 3973, 267, 789, 2671, 741, 4681, 609, 824, 4966, 547, 1205, 741, 8369, 269, 1403, 1034, 3858, 267, 789, 1711, 513, 1867, 547, 948, 721, 782, 1174, 780, 7692, 281, 28514, 267, 602, 4992, 10257, 269, 1809, 1018, 4523, 952, 1346, 5100, 1004, 10990, 286, 6145, 267, 1018, 952, 3368, 540, 873, 1589, 8701, 12217, 616, 538, 8373, 267, 543, 519, 824, 3368, 14659, 789, 2461, 1175, 5386, 2496, 8334, 281, 13259, 267, 1631, 649, 2461, 3478, 883, 519, 16602, 851, 269, 6884, 267, 1114, 2516, 540, 3173, 1413, 693, 519, 1482, 1344, 543, 3914, 1114, 8753, 269, 1656, 3006, 267, 1007, 9623, 2501, 856, 602, 2591, 1018, 3025, 2219, 1354, 269, 2334, 3085, 1406, 1611, 4896, 568, 14084, 282, 621, 1175, 2982, 602, 2257, 568, 7683, 1565, 543, 3395, 780, 7692, 281, 26272, 267, 7705, 267, 594, 2760, 7691, 2257, 1223, 581, 865, 7294, 256, 2052, 1405, 649, 1175, 2307, 2576, 945, 6487, 3388, 1287, 2496, 8334, 281, 3767, 267, 9327, 1405, 602, 581, 8799, 26834, 10251, 267, 18864, 814, 2608, 718, 265, 519, 4267, 269, 4634, 707, 4116, 1934, 693, 1153, 16137, 1007, 8631, 1169, 1554, 256, 1284, 3972, 519, 4966, 1317, 789, 6108, 1296, 4974, 543, 11018, 1702, 269, 12846, 267, 621, 779, 1898, 585, 721, 547, 1832, 6998, 2055, 543, 3343, 6325, 2959, 540, 1344, 780, 7692, 281, 20944, 621, 256, 1924, 267, 1394, 547, 519, 8701, 12217, 1765, 6343, 1281, 713, 1611, 585, 873, 286, 3657, 789, 2922, 610, 711, 2496, 8334, 281, 6153, 2243, 256, 3245, 1018, 594, 1174, 267, 8701, 12217, 616, 4867, 2808, 7286, 11864, 540, 2547, 6161, 676, 519, 4139, 5742, 585, 11094, 540, 7186, 630, 296, 30002, 1040, 1717, 267, 930, 2199, 5095, 949, 1869, 3068, 6937, 1813, 547, 7226, 2530, 543, 4389, 1569, 547, 10352, 269, 898, 781, 1271, 547, 3136, 5464, 741, 3510, 5702, 780, 7692, 281, 1325, 2431, 267, 7064, 7705, 256, 1411, 1500, 803, 8275, 602, 3006, 6738, 13522, 991, 547, 3247, 543, 1589, 827, 1018, 789, 5873, 3079, 540, 3443, 10107, 2786, 2476, 269, 2913, 781, 3314, 547, 2141, 2638, 938, 2959, 543, 2259, 938, 2565, 3206, 1983, 2439, 8334, 281, 25999, 267, 7585, 256, 5457, 267, 2348, 1455, 2631, 849, 2882, 1373, 1930, 16490, 267, 16614, 267, 543, 8348, 547, 6432, 547, 1585, 5380, 269, 5901, 15819, 267, 5275, 5168, 267, 543, 4687, 11587, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 6820, 654, 9879, 11876, 1314, 18387, 1405, 6591, 6190, 20086, 538, 519, 3377, 2923, 1210, 3621, 2963, 543, 7744, 267, 865, 519, 28288, 540, 2518, 8337, 1728, 3122, 807, 723, 759, 9285, 547, 7440, 602, 616, 1759, 593, 4606, 543, 4664, 2864, 982, 4411, 2182, 5013, 269, 901, 568, 2523, 3730, 950, 9513, 519, 2518, 8337, 535, 1066, 5414, 547, 1153, 1453, 610, 547, 519, 2141, 25298, 995, 3377, 2923, 563, 6124, 3194, 2725, 656, 547, 21824, 332, 784, 518, 11848, 10979, 631, 3881, 6452, 1211, 958, 2598, 2889, 1407, 21784, 547, 21069, 645, 8986, 269, 634, 4980, 568, 1434, 693, 1152, 835, 3364, 269, 10435, 11236, 602, 1810, 1405, 2097, 3020, 269, 30385, 316, 898, 568, 4502, 15663, 602, 519, 5532, 1382, 568, 1360, 2916, 1381, 7888, 267, 609, 3875, 8100, 547, 27643, 8337, 269, 7201, 1100, 25896, 729, 621, 5497, 547, 3181, 6064, 519, 8701, 7703, 7242, 267, 855, 621, 1590, 563, 303, 6897, 12217, 616, 10731, 1299, 14762, 269, 20226, 945, 1031, 519, 1977, 29510, 15661, 2920, 630, 2464, 288, 264, 547, 1592, 8701, 12217, 607, 1412, 628, 805, 2989, 262, 538, 2904, 476, 1220, 279, 941, 19451, 281, 4262, 4672, 8128, 3893, 741, 11236, 4636, 827, 2104, 4672, 6708, 543, 11110, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 19615, 1315, 2342, 1315, 29735, 18831, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269, 0, 3848, 476, 1556, 281, 4197, 4578, 23113, 910, 10435, 23281, 540, 8950, 6176, 692, 5331, 596, 2811, 3843, 547, 1265, 707, 5172, 1433, 538, 513, 30255, 4055, 4904, 609, 9162, 267, 9660, 267, 543, 2835, 16559, 10876, 269, 1411, 917, 707, 1433, 568, 538, 972, 12341, 267, 855, 4466, 621, 1131, 1491, 11014, 256, 3767, 4952, 952, 782, 1346, 3688, 941, 28426, 6896, 538, 741, 1697, 4025, 1107, 9162, 538, 519, 11442, 4216, 267, 9660, 538, 519, 5008, 564, 267, 543, 2835, 593, 21684, 269, 15531, 707, 1433, 1631, 1131, 581, 1454, 4443, 543, 5488, 267, 1318, 286, 2334, 781, 4010, 1018, 1239, 3889, 798, 585, 5904, 2439, 1103, 2241, 2474, 267, 1239, 3889, 616, 899, 5691, 10833, 610, 11149, 1141, 649, 666, 1832, 2147, 5686, 540, 1239, 1927, 267, 1818, 621, 2653, 585, 519, 2780, 547, 1265, 267, 946, 267, 543, 1256, 1404, 609, 873, 256, 5994, 891, 1239, 3889, 607, 1585, 2010, 540, 1907, 7901, 525, 609, 13042, 735, 25902, 547, 3180, 1808, 2645, 269, 901, 1259, 267, 950, 2576, 2115, 513, 17684, 323, 18182, 267, 789, 4465, 1405, 991, 547, 2007, 998, 3388, 282, 3079, 267, 789, 786, 1413, 538, 519, 1412, 338, 920, 23424, 31034, 262, 3296, 269, 6684, 267, 1239, 3889, 1577, 938, 5904, 3533, 12398, 543, 4383, 1344, 780, 6524, 1239, 3889, 3357, 2059, 267, 5904, 16941, 593, 1945, 1572, 18615, 1569, 3965, 269, 6056, 827, 713, 607, 835, 1279, 15808, 1141, 1142, 6221, 814, 922, 1378, 22921, 5544, 269, 1677, 1205, 547, 6221, 1948, 6872, 267, 585, 1383, 267, 519, 2780, 1131, 1101, 991, 547, 1780, 676, 782, 519, 3688, 1354, 621, 269, 1306, 596, 1522, 7058, 267, 10478, 585, 1919, 713, 1259, 3576, 513, 2603, 540, 942, 269, 1924, 875, 1705, 1004, 4368, 713, 1966, 286, 1635, 2870, 5100, 2081, 547, 1895, 543, 6582, 1239, 267, 1634, 2221, 607, 1239, 3889, 2439, 3086, 12997, 267, 1034, 5904, 946, 1945, 1572, 4351, 14092, 947, 3965, 630, 305, 4456, 1070, 799, 1568, 811, 899, 513, 1134, 268, 23457, 13186, 982, 513, 804, 18636, 1229, 4558, 3336, 269, 2060, 20433, 267, 5904, 1810, 1405, 723, 547, 1246, 513, 7453, 1899, 547, 3914, 1978, 4773, 540, 1239, 15042, 269, 5502, 267, 789, 666, 7914, 2786, 547, 1141, 519, 5551, 1344, 2729, 267, 7064, 547, 1239, 3889, 2439, 3383, 267, 1946, 1281, 1022, 540, 713, 2339, 286, 4270, 267, 1317, 540, 1239, 3889, 267, 938, 3457, 666, 1184, 5458, 5666, 540, 1344, 24847, 543, 3927, 269, 1280, 3236, 267, 1589, 540, 2228, 3756, 602, 1450, 2789, 5716, 5001, 547, 2170, 16900, 269, 2107, 2015, 7851, 602, 14678, 1397, 6808, 2175, 543, 2303, 6099, 11507, 1759, 593, 1483, 6066, 1239, 269, 2353, 891, 3579, 2934, 7048, 8185, 593, 3608, 1239, 2359, 3177, 676, 1239, 3889, 780, 4131, 781, 2263, 930, 1455, 1239, 3889, 602, 948, 5904, 3251, 2706, 6896, 1384, 272, 269, 1488, 7590, 281, 16514, 606, 5044, 607, 513, 17365, 1592, 1141, 596, 2328, 1524, 1896, 1426, 3688, 538, 513, 4737, 269, 1323, 5044, 6585, 2789, 2609, 540, 519, 1482, 1826, 267, 11231, 2427, 676, 2427, 538, 3965, 269, 1403, 596, 1616, 547, 1265, 5144, 2854, 3791, 593, 707, 1592, 267, 596, 1175, 3314, 621, 781, 519, 3791, 6221, 269, 11822, 2336, 273, 269, 21912, 700, 1235, 281, 1452, 18613, 12673, 540, 1957, 6402, 4448, 676, 1507, 14034, 269, 3962, 3095, 8637, 1312, 1239, 543, 513, 4704, 15738, 2509, 1776, 3095, 267, 3850, 721, 547, 29906, 998, 519, 3003, 5832, 24672, 563, 274, 269, 853, 2931, 281, 5994, 10518, 532, 10824, 1310, 11067, 873, 269, 1715, 518, 3283, 2141, 1694, 593, 1283, 1247, 4587, 3283, 1964, 9944, 269, 5381, 547, 713, 267, 588, 2931, 7500, 896, 7831, 769, 3689, 4934, 630, 299, 9281, 302, 264, 4341, 267, 2495, 519, 5767, 1840, 4991, 6569, 1101, 563, 275, 269, 6581, 1132, 281, 9521, 588, 2931, 267, 6446, 1132, 960, 1739, 519, 3689, 769, 3689, 4934, 630, 293, 9281, 302, 264, 1062, 267, 899, 7996, 538, 1899, 693, 519, 22538, 2678, 807, 269, 1879, 7674, 12899, 267, 519, 1268, 945, 8452, 1101, 568, 6039, 1101, 1932, 2336, 276, 269, 19029, 281, 5457, 16246, 4054, 1282, 12424, 286, 19029, 538, 7384, 849, 7936, 856, 267, 8066, 1239, 1369, 9136, 269, 9612, 532, 3587, 3728, 2094, 649, 9004, 3368, 540, 519, 6967, 3681, 609, 1142, 1900, 563, 277, 269, 28977, 281, 7053, 267, 11708, 2874, 540, 14622, 630, 25854, 264, 543, 8728, 630, 6050, 8220, 15956, 1040, 15750, 2572, 1419, 8415, 3113, 3069, 547, 3313, 3347, 1063, 3817, 267, 4543, 3406, 9817, 1683, 4143, 2164, 780, 2026, 2029, 8441, 267, 15931, 3096, 540, 1239, 3889, 3136, 30196, 1007, 7399, 585, 5647, 543, 5876, 269, 6787, 4730, 3381, 3756, 610, 19855, 1514, 2923, 267, 1620, 1239, 3889, 2337, 721, 5660, 519, 9059, 3297, 9583, 8723, 4247, 269, 1656, 30971, 267, 6148, 14693, 9358, 1223, 1020, 519, 1985, 2462, 3364, 30507, 875, 3425, 1921, 543, 2671, 1344, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 10574, 23113, 28977, 476, 1708, 274, 454, 288, 1239, 2497, 568, 513, 1826, 540, 4859, 1031, 547, 10891, 543, 4558, 1239, 269, 898, 568, 513, 1505, 540, 12180, 1239, 593, 513, 2780, 865, 602, 621, 949, 581, 3362, 3015, 543, 9168, 269, 4578, 3889, 616, 2813, 547, 948, 519, 2780, 1118, 2631, 540, 519, 1344, 269, 1358, 723, 513, 1880, 12180, 6240, 543, 1685, 3252, 971, 607, 3406, 267, 18570, 267, 610, 30843, 630, 3712, 22162, 1239, 1040, 589, 1906, 5756, 3516, 267, 5904, 1031, 18615, 1569, 3965, 585, 1239, 4859, 269, 7756, 1239, 2010, 1131, 581, 6740, 693, 1114, 9607, 538, 519, 1482, 3965, 3148, 269, 6969, 1169, 4062, 540, 1239, 1223, 581, 15600, 267, 621, 1185, 547, 979, 998, 513, 3126, 540, 3268, 267, 543, 782, 824, 11353, 1185, 547, 581, 22646, 998, 693, 4351, 269, 4578, 3889, 941, 2813, 602, 5280, 3432, 909, 3157, 543, 5512, 3152, 12957, 1210, 3684, 1565, 6620, 593, 2413, 5904, 609, 4351, 14092, 947, 3965, 563, 288, 1239, 2497, 568, 513, 9138, 3898, 538, 2780, 5752, 585, 7561, 13936, 267, 17034, 267, 543, 4393, 1239, 1775, 3010, 2237, 606, 2502, 543 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 476, 866, 454, 292, 269, 476, 272, 692, 7775, 946, 4806, 6284, 547, 4194, 621, 563, 320, 272, 815, 476, 272, 454, 320, 273, 815, 7790, 519, 1611, 540, 513, 272, 543, 513, 273, 1590, 581, 476, 273, 269, 4595, 513, 272, 568, 476, 272, 267, 513, 273, 1590, 581, 476, 274, 454, 320, 273, 815, 476, 274, 454, 320, 274, 815, 7790, 519, 1611, 540, 513, 272, 267, 513, 273, 267, 513, 274, 815, 476, 274, 269, 4595, 513, 272, 543, 513, 273, 616, 476, 272, 543, 476, 274, 267, 513, 274, 1590, 581, 476, 276, 547, 2285, 513, 1611, 540, 476, 274, 454, 320, 274, 815, 476, 276, 454, 320, 275, 815, 7790, 519, 1611, 540, 513, 272, 267, 513, 273, 267, 513, 274, 543, 513, 275, 568, 476, 275, 269, 4595, 649, 723, 476, 272, 267, 476, 274, 267, 476, 276, 543, 649, 991, 513, 1611, 540, 476, 275, 267, 513, 275, 1590, 581, 476, 278, 630, 2224, 11539, 689, 1611, 547, 4137, 856, 1142, 540, 891, 538, 513, 7008, 540, 3813, 338, 994, 320, 275, 815, 476, 278, 692, 2171, 1294, 519, 4806, 281, 476, 272, 267, 476, 274, 267, 476, 276, 267, 476, 278, 4429, 333, 628, 2165, 568, 2016, 676, 476, 273, 333, 910, 476, 272, 563, 320, 1015, 568, 476, 273, 265, 1015, 910, 476, 272, 815, 476, 866, 454, 6303, 29390, 298, 541, 880, 2742, 454, 19723, 26320, 16721, 17918, 26189, 528, 692, 306, 29262, 454, 16274, 281, 476, 6187, 9484, 476, 1001, 274, 454, 15803, 281, 476, 13932, 280, 454, 3519, 1417, 1674, 281, 16010, 454, 3725, 281, 769, 513, 1978, 5311, 540, 2338, 267, 513, 272, 267, 513, 273, 267, 513, 274, 267, 10371, 1421, 606, 267, 519, 1109, 1496, 258, 21529, 6540, 2162, 8058, 16193, 692, 1240, 5463, 476, 1001, 274, 267, 476, 1704, 281, 5655, 454, 333, 1511, 10037, 5206, 912, 1103, 513, 1978, 5311, 540, 2338, 267, 513, 272, 267, 513, 273, 267, 513, 274, 267, 10371, 1421, 606, 267, 519, 3328, 630, 541, 10379, 1611, 264, 540, 519, 1101, 544, 15654, 2474, 4358, 609, 513, 272, 568, 544, 267, 585, 1022, 2318, 8870, 544, 269, 1403, 513, 272, 284, 272, 267, 1018, 568, 513, 1015, 2496, 288, 269, 476, 1911, 454, 289, 269, 476, 4649, 454, 290, 269, 476, 2641, 454, 291, 269, 476, 866, 454, 292, 269, 476, 272, 692, 11764, 540, 1412, 332, 262, 2474, 1315, 544, 815, 19105, 540, 544, 692, 3086, 267, 3328, 540, 544, 568, 849, 815, 630, 299, 1341, 476, 272, 8358, 273, 2608, 630, 332, 994, 8489, 267, 700, 568, 519, 2063, 1297, 540, 519, 5311, 543, 1412, 332, 262, 568, 519, 1297, 540, 2474, 454, 3383, 1287, 649, 723, 602, 700, 815, 476, 273, 332, 268, 272, 692, 2690, 513, 1015, 1287, 267, 649, 1131, 723, 476, 273, 263, 1015, 9984, 272, 815, 476, 866, 692, 28775, 621, 2337, 454, 10267, 619, 2336, 297, 454, 306, 29262, 454, 16274, 281, 476, 6187, 9484, 476, 1001, 274, 454, 15803, 281, 476, 13932, 280, 454, 3519, 1417, 1674, 281, 16010, 454, 3725, 281, 769, 513, 1978, 5311, 540, 2338, 267, 513, 272, 267, 513, 273, 267, 513, 274, 267, 10371, 1421, 606, 267, 519, 1109, 1496, 258, 21529, 6540, 2162, 8058, 16193, 692, 736, 4924, 476, 1001, 275, 267, 476, 1691, 281, 3066, 454, 21156, 540, 15654, 2474, 594, 1131, 2161, 14961, 22274, 1305, 538, 519, 2243, 269, 7102, 3118, 267, 689, 519, 1383, 649, 917, 602, 789, 616, 6158, 827, 15654, 9642, 2338, 630, 333, 317, 273, 568, 519, 2040, 540, 519, 1101, 562, 2318, 9642, 2338, 264, 4061, 267, 519, 4102, 1297, 540, 519, 1101, 476, 1015, 9642, 9981, 568, 476, 866, 780, 28775, 621, 2337, 454, 10267, 619, 454, 297, 454, 29479, 570, 12460, 454, 16274, 281, 476, 736, 7325, 476, 1001, 273, 454, 15803, 281, 476, 1839, 454, 29479, 476, 272, 281, 476, 278, 3199, 1627, 2004, 966, 2004, 454, 3725, 281, 769, 513, 1978, 5311, 540, 2338, 267, 513, 272, 267, 513, 273, 267, 513, 274, 267, 10371, 1421, 606, 267, 519, 1109, 1496, 258, 21529, 6540, 2162, 8058, 16193, 692, 736, 4924, 476, 1001, 275, 267, 476, 1428, 281, 6872, 454, 273, 2081, 7223, 5059, 543, 476, 272, 1259, 10771, 4806, 6284, 1384, 272, 264, 676, 2016, 4542, 281, 1492, 1611, 540, 513, 272, 568, 476, 272, 519, 1611, 540, 513, 272, 266, 513, 273, 568, 476, 273, 519, 1611, 540, 513, 272, 266, 320, 273, 266, 513, 274, 568, 476, 274, 543, 865, 593, 269, 11338, 585, 1611, 540, 2338, 909, 547, 320, 311, 621, 568, 2473, 780, 604, 1611, 540, 2338, 909, 547, 513, 1015, 568, 476, 1015, 1287, 2040, 540, 2338, 585, 513, 1015, 568, 476, 1015, 265, 1015, 269, 11338, 267, 519, 2040, 540, 2338, 585, 513, 280, 568, 476, 280, 265, 280, 780, 1911, 910, 10037, 568, 519, 3803, 2165, 281, 513, 1015, 815, 866, 692, 13528, 3121, 585, 2040, 540, 1297, 16733, 1101, 1341, 2063, 8358, 273, 3738, 265, 332, 1297, 540, 2474, 780, 273, 264, 811, 17715, 1259, 1384, 933, 2907, 917, 602, 513, 272, 815, 476, 272, 543, 4542, 585, 2040, 540, 2338, 269, 16733, 320, 272, 1341, 320, 1015, 8358, 273, 12684, 332, 692, 26238, 3328, 540, 2338, 815, 544, 1287, 2040, 540, 1297, 815, 544, 265, 332, 692, 810, 649, 723, 606, 15821, 5973, 1890, 269, 649, 917, 513, 272, 284, 476, 272, 2073, 544, 284, 476, 1015, 3976, 1152, 476, 272, 4756, 547, 3313, 568, 513, 1015, 780, 274, 264, 4806, 6284, 692, 320, 272, 815, 476, 272, 454, 320, 273, 815, 7790, 2094, 519, 1611, 540, 513, 272, 543, 513, 273, 568, 476, 273, 269, 4595, 513, 272, 568, 476, 272, 267, 513, 273, 1590, 581, 476, 274, 454, 320, 273, 815, 476, 274, 454, 320, 274, 815, 7790, 2094, 519, 1611, 540, 513, 272, 267, 513, 273, 267, 513, 274, 815, 476, 274, 269, 4595, 513, 272, 543, 513, 273, 616, 476, 272, 543, 476, 274, 267, 513, 274, 1590, 581, 476, 276, 547, 2285, 513, 1611, 540, 476, 274, 454, 320, 274, 815, 476, 276, 692, 1492, 4806, 281, 476, 272, 267, 476, 274, 267, 476, 276, 10484, 333, 628, 2165, 568, 2016, 676, 476, 273, 333, 910, 476, 272, 780, 320, 1015, 568, 476, 273, 265, 1015, 910, 476, 272, 815, 476, 866, 692, 327, 2100, 713, 2337, 269, 8729, 2336, 6303, 29390, 310, 310, 310, 5861, 4041, 2752, 300, 5495, 301, 14011, 2562, 303, 3918, 303, 269, 26376, 454, 25938, 1640, 15440, 454, 16274, 281, 476, 6734, 4455, 476, 1001, 274, 454, 15803, 281, 476, 24129, 454, 19613, 281, 3127, 454, 3519, 1417, 1674, 281, 16373, 267, 16010, 454, 29479, 476, 272, 281, 476, 278, 2412, 1627, 2004, 966, 6078, 454, 294, 5183, 281, 476, 274, 454, 1103, 513, 1978, 5311, 540, 2338, 267, 513, 272, 267, 513, 273, 267, 513, 274, 267, 10371, 1421, 606, 267, 519, 1109, 1496, 258, 21529, 6540, 2162, 8058, 16193, 692, 6349, 7325, 476, 1001, 277, 267, 476, 6349, 281, 1556, 454, 333, 1511, 5206, 912, 1103, 513, 1978, 5311, 540, 2338, 267, 513, 272, 267, 513, 273, 267, 513, 274, 267, 10371, 1421, 606, 267, 519, 3328, 630, 541, 10379, 1611, 264, 540, 519, 1101, 544, 15654, 2474, 4358, 609, 513, 272, 568, 544, 267, 585, 1022, 2318, 8870, 544, 269, 1403, 513, 272, 284, 272, 267, 1018, 568, 513, 1015, 2496, 288, 269, 476, 1911, 454, 289, 269, 476, 4649, 454, 290, 269, 476, 2641, 454, 291, 269, 476, 866, 454, 292, 269, 476, 272, 692, 5194, 1259, 10756, 2330, 320, 318, 272, 815, 476, 272, 630, 272, 317, 273, 910, 476, 271, 317, 273, 14638, 454, 2330, 320, 318, 273, 815, 476, 274, 630, 273, 317, 273, 910, 476, 272, 317, 273, 14638, 454, 2330, 320, 318, 274, 815, 476, 276, 630, 274, 317, 273, 910, 476, 273, 317, 273, 264, 9681, 13295, 269, 780, 2330, 320, 3709, 1015, 348, 815, 476, 866, 630, 1015, 317, 273, 910, 476, 280, 317, 273, 264, 9681, 6303, 29390, 306, 7331, 930, 2648, 907, 12024, 815, 1341, 272, 918, 16997, 454, 25938, 1640, 15440, 454, 16274, 281, 476, 5400, 9947, 476, 1001, 276, 454, 15803, 281, 476, 275, 2641, 454, 19613, 281, 3127, 454, 29479, 476, 272, 281, 476, 25953, 1627, 4366, 966, 3066, 454, 29479, 476, 273, 281, 476, 10384, 1627, 4366, 966, 4343, 454, 294, 5183, 281, 476, 274, 269, 3451, 454, 3725, 281, 769, 513, 1978, 5311, 540, 2338, 267, 513, 272, 267, 513, 273, 267, 513, 274, 267, 10371, 1421, 606, 267, 519, 1109, 1496, 258, 21529, 6540, 2162, 8058, 16193, 692, 1240, 4455, 476, 1001, 279, 267, 476, 6021, 281, 1626, 454, 8196, 519, 1523, 540, 6673, 269, 1403, 972, 616, 544, 2474, 2073, 649, 723, 519, 2040, 540, 782, 2474, 607, 910, 27883, 332, 270, 273, 12684, 346, 320, 272, 266, 600, 348, 4940, 634, 1611, 568, 630, 320, 272, 266, 600, 8358, 273, 284, 332, 563, 2691, 544, 284, 1015, 6902, 513, 272, 266, 320, 1015, 284, 736, 269, 1879, 513, 272, 284, 272, 6902, 513, 1015, 284, 866, 269, 9747, 513, 1015, 284, 866, 610, 4781, 667, 563, 6303, 29390, 257, 634, 1906, 2073, 519, 4250, 1652, 27029, 15239, 6953, 3861, 14871, 454, 16274, 281, 476, 6021, 9484, 476, 1001, 274, 454, 15803, 281, 476, 14138, 10037, 454, 3725, 281, 769, 513, 1978, 5311, 540, 2338, 267, 513, 272, 267, 513, 273, 267, 513, 274, 267, 10371, 1421, 606, 267, 519, 1109, 1496, 258, 21529, 6540, 2162, 8058, 16193, 692, 1789, 9947, 476, 1001, 280, 267, 476, 6349, 281, 5379, 454, 15916, 689, 519, 17918, 11833, 645, 2794, 289, 582, 2439, 12552, 547, 1776, 17918, 11833, 4759, 267, 594, 723, 1175, 4362, 713, 3407, 1888, 267, 2943, 621, 1185, 1100, 4901, 585, 936, 513, 1032, 269, 594, 993, 1631, 536, 18804, 621, 909, 910, 3257, 1250, 2816, 269, 594, 1589, 596, 949, 1265, 621, 3407, 630, 525, 335, 1346, 30491, 609, 918, 16997, 6393, 23763, 547, 1294, 782, 824, 3584, 594, 2007, 856, 286, 7427, 803, 630, 28781, 1246, 7735, 593, 9043, 1040, 1411, 786, 4309, 513, 5758, 540, 782, 3584, 594, 29424, 538, 707, 9043, 1858, 607, 1134, 607, 3842, 4757, 563, 6303, 29390, 3725, 281, 769, 513, 1978, 5311, 540, 2338, 267, 513, 272, 267, 513, 273, 267, 513, 274, 267, 10371, 1421, 606, 267, 519, 5231, 1496, 258, 21529, 316, 476, 1789, 9947, 476, 1001, 280, 267, 476, 6349, 281, 5379, 454, 11514, 2452, 9708, 689, 3105, 281, 23037, 676, 0, 258, 1215, 1434, 540, 606, 16977, 476, 273, 12258, 1681, 666, 596, 1205, 540, 519, 10300, 1386, 13306, 3113, 2496, 2171, 2161, 602, 513, 476, 273, 12258, 1681, 1269, 3712, 2433, 966, 318, 294, 1422, 21375, 1422, 346, 271, 267, 476, 272, 315, 4151, 540, 513, 3113, 1269, 294, 259, 568, 4399, 22668, 27572, 13627, 1493, 952, 1269, 7468, 3709, 263, 342, 267, 642, 264, 1422, 514, 661, 318, 294, 12917, 3712, 26028, 264, 1422, 928, 336, 897, 17635, 4297, 1422, 28254, 1422, 22668, 10608, 1280, 1169, 1269, 333, 8961, 1018, 568, 519, 5021, 4399, 22668, 5332, 259, 585, 799, 519, 10300, 1386, 13306, 3113, 814, 606, 4399, 22668, 5332, 27572, 13627, 1493, 7801, 1269, 3712, 5332, 259, 286, 634, 10300, 1386, 13306, 3113, 568, 519, 3113, 596, 1205, 676, 1210, 519, 1482, 4070, 607, 519, 29491, 13306, 855, 1166, 6235, 476, 273, 11353, 3079, 540, 476, 272, 547, 1205, 689, 14584, 547, 14584, 267, 543, 1287, 18530, 856, 835, 540, 519, 1079, 9838, 4448, 3334, 269, 1548, 568, 519, 1920, 540, 2681, 902, 799, 22168, 713, 286, 1772, 972, 513, 2067, 7801, 799, 2501, 2673, 547, 519, 19993, 267, 23679, 16042, 621, 29297, 582, 1227, 2496, 1892, 2659, 16977, 476, 273, 12258, 1681, 1966, 568, 1175, 519, 7665, 4211, 583, 1966, 267, 3884, 1405, 621, 286, 3057, 476, 277, 267, 476, 1001, 279, 693, 476, 277, 281, 1704, 454, 1892, 9406, 267, 513, 26987, 4528, 540, 621, 269, 3057, 476, 277, 267, 476, 1001, 279, 693, 476, 1691, 281, 2190, 454, 1892, 634, 18440, 568, 7168, 1455, 630, 1721, 7665, 4211, 583, 543, 824, 7665, 4211, 9915, 2042, 1040, 594, 1589, 10912, 621, 7665, 4211, 583, 1131, 1118, 519, 2243, 4443, 547, 1747, 538, 2796, 269, 3057, 476, 277, 267, 476, 1001, 279, 693, 476, 1691 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 29085, 13515, 873, 543, 15920, 519, 1268, 1394, 547, 4368, 741, 4566, 780, 1262, 3528, 974, 13892, 4995, 3767, 267, 1577, 781, 4952, 938, 4055, 568, 1500, 909, 540, 7161, 269, 3962, 3625, 2115, 547, 3514, 9985, 609, 1866, 865, 602, 1100, 835, 666, 14229, 752, 538, 1022, 13311, 26208, 269, 1635, 974, 13892, 5849, 1142, 4062, 13352, 1927, 7157, 269, 898, 12116, 1169, 2582, 3625, 1373, 3773, 547, 519, 4055, 543, 18715, 4986, 3165, 344, 1793, 2354, 2250, 780, 1262, 305, 29025, 4995, 7053, 267, 950, 938, 4055, 568, 4628, 3710, 543, 4712, 585, 946, 267, 519, 678, 29025, 4494, 3217, 936, 269, 4706, 2816, 568, 547, 6895, 945, 13788, 519, 4055, 267, 1818, 2386, 3025, 3096, 519, 2230, 19100, 269, 1280, 1383, 267, 621, 4465, 1405, 1450, 8436, 547, 3441, 824, 1004, 781, 28378, 610, 798, 4376, 3116, 602, 1522, 10413, 2576, 3330, 519, 4055, 780, 3086, 602, 649, 1174, 519, 9238, 267, 1577, 781, 2263, 2081, 547, 3986, 938, 24344, 18740, 5071, 2417, 269, 19296, 616, 7683, 3384, 5499, 2409, 547, 2087, 3106, 543, 10342, 269, 2368, 2093, 896, 7156, 1331, 1384, 265, 2878, 15253, 850, 3562, 9539, 894, 31664, 4995, 5502, 540, 2679, 11623, 856, 540, 5094, 4773, 267, 4952, 14335, 873, 7357, 689, 4396, 4224, 269, 4495, 1305, 267, 519, 2497, 3587, 5393, 2352, 547, 12189, 610, 2736, 883, 269, 2755, 5356, 5140, 4027, 267, 713, 1505, 3340, 6297, 4058, 1317, 2242, 1831, 11212, 4101, 2899, 6192, 780, 265, 2878, 257, 19423, 268, 763, 8862, 718, 32438, 257, 4995, 6884, 267, 3860, 17024, 2097, 909, 609, 23349, 3435, 269, 1358, 5326, 909, 21173, 2943, 2500, 2093, 971, 607, 15865, 3196, 4610, 1472, 519, 4055, 610, 1582, 1673, 652, 1192, 9696, 952, 11371, 644, 619, 2119, 8840, 538, 269, 1452, 2035, 949, 3280, 3552, 1631, 267, 855, 2104, 2029, 7760, 1223, 2490, 873, 883, 4641, 2439, 2026, 596, 666, 1294, 267, 8888, 5150, 5624, 3322, 6266, 540, 5876, 543, 1966, 6061, 269, 1635, 1565, 827, 1585, 8825, 3800, 543, 9363, 8242, 593, 6932, 2553, 267, 649, 666, 2327, 938, 16494, 11623, 2611, 791, 523, 25523, 1076, 6830, 19843, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 305, 7112, 281, 8303, 476, 26237, 9474, 454, 306, 3481, 27968, 693, 2433, 13628, 476, 1015, 281, 3393, 476, 1556, 281, 1789, 454, 297, 6072, 476, 1704, 9307, 519, 28595, 540, 519, 8232, 15440, 630, 6518, 568, 21453, 2094, 15991, 4896, 1031, 621, 264, 855, 602, 3085, 1406, 1611, 519, 808, 30470, 3762, 596, 7925, 269, 1703, 616, 1082, 1374, 2934, 538, 519, 808, 30470, 543, 519, 808, 291, 298, 602, 616, 972, 547, 948, 1832, 707, 3498, 2922, 689, 2800, 563, 1103, 713, 8400, 267, 649, 3580, 3802, 998, 891, 2798, 910, 689, 29085, 267, 547, 31632, 13892, 547, 678, 29025, 543, 2285, 596, 513, 18589, 615, 593, 875, 547, 1205, 519, 1655, 689, 891, 2934, 269, 1284, 3580, 849, 1413, 693, 1007, 1919, 538, 519, 1568, 267, 29289, 3562, 28921, 4539, 543, 1256, 930, 1055, 7308, 2914, 718, 968, 527, 779, 1175, 606, 2856, 892, 4555, 827, 875, 547, 1118, 519, 808, 30470, 606, 1256, 811, 5150, 1604, 563, 285, 19378, 7313, 1961, 454, 14946, 518, 5917, 11229, 267, 8232, 19598, 542, 267, 8061, 302, 1186, 19995, 630, 3369, 7241, 602, 1797, 264, 7043, 942, 10084, 17354, 267, 6205, 543, 27685, 626, 269, 594, 4076, 1044, 2324, 593, 10084, 12676, 298, 338, 543, 808, 309, 16039, 2094, 10084, 729, 1447, 982, 476, 272, 269, 10084, 3080, 9412, 28588, 267, 808, 17876, 6205, 543, 6041, 267, 2155, 7867, 593, 1930, 2707, 3785, 1519, 3283, 693, 28833, 267, 661, 743, 15199, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 20376, 675, 18740, 5071, 257, 607, 851, 540, 834, 24086, 3951, 17614, 13543, 1315, 8232, 5071, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 938, 5767, 3184, 782, 827, 519, 4241, 1158, 540, 4670, 14708, 256, 4653, 649, 2811, 2469, 547, 4685, 883, 519, 1909, 540, 513, 7260, 8689, 543, 1451, 827, 741, 6909, 3460, 538, 8744, 513, 1650, 547, 1272, 593, 519, 2462, 5496, 269, 1284, 786, 2263, 875, 789, 5965, 585, 2504, 267, 12840, 609, 1585, 4648, 267, 543, 3337, 519, 2949, 1413, 543, 1745, 540, 519, 3803, 1587, 602, 596, 1294, 538, 519, 11596, 269, 1635, 519, 1439, 540, 713, 3184, 267, 596, 3513, 723, 513, 4396, 1620, 540, 1018, 621, 3217, 547, 1831, 513, 3811, 4670, 8689, 899, 5915, 1014, 700, 747, 1084, 7322, 267, 945, 3323, 1055, 1818, 2575, 7044, 1354, 28006, 547, 4183, 8874, 780, 4131, 781, 14736, 1919, 1055, 676, 7234, 1018, 4010, 513, 4670, 8689, 1281, 269, 589, 8689, 568, 9247, 519, 6205, 540, 513, 4670, 12284, 267, 3743, 585, 13327, 4370, 1169, 2460, 540, 519, 2504, 1184, 269, 1358, 14650, 519, 7097, 543, 3142, 621, 547, 1272, 998, 5698, 609, 3875, 5159, 971, 607, 11051, 267, 14557, 14670, 20802, 267, 15769, 267, 28076, 9858, 267, 1305, 26767, 267, 543, 811, 269, 6034, 832, 616, 849, 3743, 585, 4259, 519, 2949, 3159, 543, 2511, 540, 519, 4670, 1247, 4180, 15364, 1063, 10207, 780, 3086, 1577, 781, 1491, 513, 6251, 1413, 693, 5915, 1014, 700, 747, 1084, 7322, 781, 4876, 2619, 267, 799, 3459, 609, 2870, 2575, 7044, 585, 2442, 12372, 269, 6969, 3059, 2029, 1500, 11049, 4443, 982, 2479, 267, 19971, 2324, 593, 2575, 7044, 16941, 8185, 593, 3860, 8254, 7285, 267, 6946, 25287, 2762, 267, 543, 5499, 3942, 6272, 547, 1711, 11617, 11495, 4773, 602, 1264, 7757, 519, 5152, 781, 18405, 543, 11733, 269, 1280, 1383, 267, 950, 13167, 513, 2575, 3381, 585, 853, 532, 610, 18238, 1849, 2194, 517, 267, 5915, 1014, 1131, 991, 547, 1174, 1142, 7376, 781, 2189, 7574, 2511, 543, 1020, 3308, 2035, 602, 6949, 730, 609, 11655, 269, 1261, 1522, 3442, 547, 1445, 593, 13830, 15982, 2661, 12644, 267, 6451, 30642, 11052, 6273, 676, 519, 5152, 781, 4798, 267, 610, 1256, 4603, 609, 3247, 5163, 14318, 2553, 780, 5629, 6899, 2324, 1369, 519, 32604, 540, 10156, 12043, 899, 2575, 7044, 267, 1082, 14971, 19971, 6430, 547, 10994, 3476, 6386, 1336, 538, 2407, 27480, 9413, 269, 901, 11144, 2636, 873, 547, 4228, 2390, 741, 1983, 543, 2995, 811, 1950, 2984, 8506, 3152, 1915, 1646, 267, 4729, 23538, 267, 543, 3929, 3178, 269, 1677, 9414, 713, 1448, 267, 4952, 952, 5915, 1014, 4941, 547, 3082, 513, 3209, 883, 513, 4183, 4670, 282, 646, 1131, 1101, 1224, 519, 3003, 1433, 1896, 2053, 267, 2697, 1883, 3197, 543, 2621, 267, 1287, 16540, 2081, 547, 14377, 1346, 2609, 5196, 519, 8988, 5496, 1210, 3308, 1893, 267, 3280, 1374, 267, 543, 2773, 16082, 269, 10801, 3341, 3174, 267, 2504, 267, 543, 27185, 3174, 11775, 267, 519, 8689, 5713, 607, 1312, 513, 13057, 3196, 543, 18657, 1807, 1851, 13623, 267, 7683, 17975, 741, 5075, 2394, 8236, 519, 5551, 6364, 780, 1103, 3932, 267, 513, 4670, 8689, 4249, 513, 2629, 1909, 538, 5935, 519, 9413, 596, 2972, 8384, 269, 4256, 7499, 5079, 666, 18427, 17409, 267, 17229, 267, 10761, 267, 610, 31658, 267, 3850, 721, 547, 9101, 4641, 17303, 543, 23365, 6000, 538, 1007, 10600, 4904, 609, 8903, 3197, 543, 12300, 8090, 269, 5664, 1153, 1053, 5461, 538, 13197, 11678, 538, 4670, 14708, 666, 1376, 28798, 741, 1983, 2221, 676, 8026, 10344, 267, 1565, 2596, 11049, 3301, 267, 3384, 2178, 2792, 5759, 267, 543, 4974, 5929, 8874, 547, 1732, 10146, 2500, 9423, 2553, 269, 5808, 6487, 286, 9320, 835, 1554, 9358, 1223, 1246, 538, 519, 3723, 25074, 540, 11121, 19971, 899, 5915, 1014, 700, 747, 1084, 7322, 543, 4734, 707, 1378, 30170, 1665, 593, 519, 1158, 540, 21576, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 9213, 779, 16823, 568, 8689, 5915, 1014, 700, 747, 1084, 7322, 269, 594, 1185, 519, 12257, 540, 1373, 593, 513, 8470, 609, 5915, 1014, 693, 513, 4670, 13037, 513, 1906, 4374, 3516, 269, 3571, 21464, 1935, 547, 4687, 1010, 1995, 267, 1702, 543, 21035, 2112, 2984, 729, 18198, 269, 594, 1185, 547, 723, 1864, 593, 519, 1397, 547, 6749, 930, 1702, 543, 5168, 23038, 593, 519, 17692, 295, 570, 11171, 563, 20779, 1014, 814, 993, 21724, 513, 5318, 1560, 540, 960, 538, 519, 2575, 3381, 2872, 2094, 8391, 1010, 645, 11902, 689, 1715, 3840, 2160, 538, 476, 2735, 279, 267, 3056, 547, 1010, 1699, 4567, 607, 513, 4183, 4670, 8689, 269, 2368, 2250, 3785, 1331, 28068, 8535, 27678, 585, 853, 532, 1299, 18238, 1849, 2194, 517, 267, 9835, 24490, 595, 1794, 267, 1744, 629, 9346, 681, 3471, 267, 10348, 4678, 604, 1695, 267, 4639, 540, 3798, 523, 630, 16032, 18763, 11473, 19072, 29552, 476, 2735, 278, 1070, 595, 2988, 816, 10830, 267, 717, 3271, 807, 6480, 1030, 534, 267, 590, 3415, 267, 2782, 1676, 645, 4592, 267, 12052, 24436, 267, 631, 7563, 267, 29980, 267, 6816, 267, 9533, 267, 570, 20207, 15196, 267, 594, 11965, 19475, 267, 2622, 12017, 518, 5741, 267, 543, 519, 13038, 590, 16235, 5980, 563, 20779, 1014, 568, 513, 4759, 540, 519, 667, 16598, 630, 17445, 528, 779, 2871, 843, 540, 3013, 264, 543, 729, 30626, 540, 519, 1715, 3840, 18763, 17912, 29663, 585, 1079, 1296, 543, 814, 1019, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 17345, 5149, 281, 4197, 670, 2096, 985, 998, 10658, 26072, 543, 10632, 910, 10312, 593, 834, 8649, 5074, 24553, 5016, 8893, 20638, 281, 4841, 786, 1451, 827, 519, 2442, 1728, 19282, 834, 8649, 5074, 24553, 257, 676, 3695, 1114, 5132, 2861, 13410, 543, 3756, 602, 12927, 922, 5048, 543, 2495, 780, 7072, 912, 5970, 596, 2479, 4862, 513, 4190, 5152, 602, 1500, 596, 1745, 12560, 543, 29014, 693, 519, 1482, 942, 286, 2334, 781, 1018, 1082, 1004, 1995, 950, 789, 6432, 547, 834, 8649, 5074, 24553, 2437, 513, 4583, 1728, 19282, 2854, 936, 476, 1220, 1296, 3516, 256, 901, 3992, 786, 6338, 596, 547, 834, 8649, 5074, 24553, 257, 1247, 2348, 930, 1187, 2059, 519, 1259, 780, 12244, 476, 272, 281, 6478, 9612, 454, 4131, 781, 1376, 609, 513, 2262, 3406, 11015, 5627, 1913, 543, 2453, 1644, 547, 834, 8649, 5074, 24553, 1701, 2368, 540, 891, 1522, 1331, 834, 6588, 576, 2437, 834, 327, 2100, 2437, 834, 15680, 14010, 2437, 834, 11990, 13053, 257, 630, 1492, 2278, 1070, 543, 834, 17745, 1328, 1701, 7388, 1154, 519, 11015, 786, 948, 24559, 596, 609, 1883, 2474, 2404, 609, 519, 1728, 19282, 780, 12244, 476, 273, 281, 9061, 5320, 10658, 14794, 454, 9202, 267, 1577, 781, 2119, 513, 30573, 11015, 5059, 593, 519, 1650, 3297, 834, 8649, 5074, 24553, 1701, 3627, 13053, 267, 945, 5206, 519, 18405, 267, 1185, 3833, 513, 7415, 3460, 1354, 4742, 513, 4168, 269, 1261, 729, 2899, 513, 10553, 911, 1457, 855, 2663, 4810, 513, 5289, 31135, 543, 13991, 1010, 1272, 547, 2696, 269, 19130, 538, 519, 30573, 10881, 547, 1174, 811, 827, 713, 6909, 7004, 780, 12244, 476, 274, 281, 19415, 543, 14484, 454, 3086, 621, 781, 942, 547, 6432, 547, 513, 10916, 540, 834, 8649, 5074, 24553, 1701, 9796, 3007, 547, 519, 23260, 543, 18405, 269, 1548, 4664, 1281, 519, 5152, 18427, 286, 1215, 666, 596, 9305, 547, 519, 6835, 540, 19807, 543, 25863, 24829, 538, 519, 1728, 19282, 286, 3503, 1524, 707, 4555, 543, 2671, 873, 609, 513, 7649, 610, 1895, 780, 12244, 476, 275, 281, 8571, 2659, 28604 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 713, 1966, 568, 2921, 1932, 1454, 942, 269, 4208, 568, 621, 519, 1034, 4122, 1031, 2243, 2262, 538, 2296, 286, 4208, 2243, 1913, 616, 4280, 950, 596, 616, 3168, 585, 930, 1344, 610, 1616, 547, 1451, 519, 2601, 563, 7078, 540, 4208, 7726, 2262, 538, 2296, 912, 268, 4208, 1705, 596, 2161, 602, 888, 268, 4208, 1705, 596, 3442, 602, 1268, 585, 4633, 888, 268, 4208, 616, 596, 711, 3257, 713, 888, 268, 4208, 616, 649, 2469, 547, 513, 5428, 14182, 888, 2108, 2691, 892, 568, 835, 540, 519, 2243, 1913, 538, 2296, 1031, 952, 596, 1616, 547, 917, 519, 942, 540, 1022, 3510, 610, 1945, 5949, 286, 6478, 950, 568, 513, 1318, 3903, 585, 596, 952, 596, 1616, 547, 2307, 1945, 538, 519, 2250, 610, 538, 519, 2104, 269, 901, 2262, 568, 4122, 1031, 585, 519, 1686, 540, 782, 519, 1919, 799, 1185, 2907, 5949, 269, 610, 596, 666, 946, 713, 2262, 547, 1118, 930, 4566, 610, 596, 1616, 547, 917, 519, 942, 585, 1022, 8345, 538, 519, 2104, 269, 3371, 649, 616, 2469, 547, 2671, 930, 1806, 540, 950, 799, 616, 4122, 1031, 538, 938, 3232, 1272, 563, 7078, 540, 1879, 7726, 6478, 538, 2296, 912, 268, 1879, 786, 596, 581, 1394, 689, 707, 1362, 888, 268, 1879, 1705, 519, 5870, 1491, 1747, 888, 268, 1879, 1705, 596, 1847, 689, 707, 5604, 888, 268, 1879, 798, 596, 1616, 547, 979, 10918, 888, 2108, 7617, 892, 568, 835, 540, 519, 1034, 1808, 18040, 2243, 1913, 269, 901, 2262, 568, 1031, 950, 596, 1616, 547, 2824, 1945, 1063, 519, 1079, 1919, 269, 901, 2262, 568, 1031, 950, 596, 723, 547, 3442, 2901, 713, 610, 602, 269, 799, 568, 711, 607, 1455, 607, 824, 2243, 1913, 538, 2296, 855, 1869, 596, 786, 5873, 621, 1934, 543, 972, 4749, 563, 7078, 540, 799, 7726, 6478, 538, 2296, 912, 268, 6904, 11951, 1131, 596, 899, 281, 7969, 610, 4457, 888, 268, 6904, 10571, 1058, 594, 5957, 286, 634, 6519, 610, 519, 25968, 835, 888, 268, 6904, 1554, 786, 9290, 596, 286, 14349, 610, 10732, 888, 22081, 892, 513, 2243, 2262, 568, 1031, 547, 917, 519, 1184, 269, 898, 568, 835, 540, 519, 2027, 2243, 1913, 1317, 621, 3085, 1405, 1376, 609, 530, 269, 875, 568, 1031, 547, 2307, 519, 6073, 610, 519, 1259, 540, 3257, 4376, 269, 1411, 666, 849, 946, 713, 2262, 950, 596, 1616, 547, 917, 519, 1297, 540, 1919, 971, 607, 875, 1082, 8751, 10633, 616, 538, 519, 11127, 269, 865, 865, 596, 666, 946, 519, 2262, 530, 547, 917, 519, 1297, 540, 1945, 585, 519, 1184, 547, 1205, 6192, 563, 7078, 540, 1215, 7726, 6478, 538, 2296, 912, 268, 1215, 729, 707, 1554, 888, 268, 1215, 798, 596, 6108, 707, 16314, 888, 268, 1215, 1082, 3694, 338, 798, 596, 723, 888, 268, 1215, 1705, 596, 1205, 547, 741, 2777, 888, 1103, 713, 5816, 267, 649, 723, 5941, 519, 2243, 1913, 538, 2296, 269, 594, 4126, 621, 2337, 596, 547, 1174, 519, 6165, 540, 18040, 2243, 1913, 269, 1411, 666, 849, 1589, 540, 930, 1806, 540, 891, 1913, 269, 1403, 596, 1616, 547, 1451, 2296, 2228, 596, 666, 3346, 721, 267, 649, 849, 723, 1082, 3292, 547, 1451, 513, 1007, 1893, 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 ]
[ 609, 519, 9972, 9399, 10643, 267, 13538, 540, 1875, 8566, 9007, 545, 2477, 1185, 519, 2140, 834, 310, 3530, 523, 257, 4776, 12089, 547, 741, 7584, 269, 1280, 3236, 267, 606, 834, 4462, 614, 560, 584, 332, 325, 6686, 327, 17243, 257, 538, 519, 4914, 1850, 687, 1131, 581, 5219, 547, 607, 834, 310, 3530, 523, 268, 4462, 614, 560, 584, 332, 325, 6686, 327, 17243, 257, 6466, 513, 2834, 9399, 4759, 1131, 581, 9619, 607, 834, 7704, 268, 4462, 614, 560, 584, 332, 325, 6686, 327, 17243, 2668, 901, 5280, 547, 5815, 1875, 28921, 13538, 267, 610, 547, 5094, 27272, 2043, 538, 519, 15523, 16922, 5097, 540, 1875, 16586, 563, 3849, 6504, 13609, 267, 607, 519, 674, 6686, 327, 17243, 540, 5125, 267, 729, 676, 9949, 519, 18678, 19524, 540, 519, 9399, 543, 856, 17213, 539, 26081, 5341, 670, 9404, 2401, 267, 945, 6039, 607, 968, 3725, 747, 26064, 892, 540, 519, 3003, 9399, 269, 769, 519, 2038, 2395, 540, 519, 9399, 267, 13609, 729, 834, 302, 828, 3122, 14408, 6363, 6686, 327, 17243, 257, 543, 18678, 19524, 540, 519, 834, 853, 584, 332, 629, 974, 559, 2426, 257, 7088, 339, 549, 641, 619, 269, 13609, 779, 18678, 14408, 7584, 267, 950, 519, 9399, 729, 1869, 896, 519, 6392, 540, 519, 14408, 267, 1223, 581, 2938, 607, 513, 7584, 9120, 547, 602, 540, 834, 3725, 747, 338, 325, 6686, 327, 17243, 4149, 306, 2668, 13609, 849, 729, 2808, 9399, 16588, 1948, 272, 267, 2506, 559, 24381, 823, 263, 4621, 30872, 519, 13653, 519, 9399, 264, 729, 16588, 1948, 273, 267, 1247, 670, 9404, 2401, 729, 9399, 16588, 1948, 12739, 269, 9122, 593, 519, 9972, 640, 1062, 540, 9399, 15376, 1297, 267, 713, 1500, 13609, 9972, 538, 519, 9399, 547, 782, 824, 2818, 1256, 952, 711, 676, 7584, 269, 2991, 519, 13957, 540, 519, 7043, 12928, 1161, 267, 950, 519, 9399, 2968, 4830, 689, 519, 14408, 267, 13609, 729, 7396, 593, 9399, 11464, 20061, 607, 16588, 1948, 272, 543, 2808, 18678, 19524, 540, 519, 3003, 9399, 676, 4075, 675, 540, 1010, 2990, 607, 519, 674, 6686, 327, 17243, 540, 5125, 269, 1703, 568, 1100, 26278, 2594, 540, 13609, 2479, 9849, 606, 4890, 9399, 7833, 6862, 729, 972, 513, 2027, 9399, 1202, 793, 807, 585, 13609, 1657, 602, 12816, 676, 670, 9404, 2401, 563, 1805, 629, 1087, 10420, 325, 6686, 327, 17243, 257, 729, 513, 2990, 531, 7584, 11292, 547, 519, 9972, 715, 4596, 540, 606, 9399, 7577, 269, 634, 2990, 729, 519, 6697, 540, 513, 3689, 5395, 613, 656, 269, 853, 629, 1087, 10420, 325, 6686, 327, 17243, 729, 20922, 676, 513, 2027, 19492, 557, 15429, 267, 12816, 593, 519, 5580, 1318, 6186, 540, 519, 9399, 7833, 563, 265, 634, 7584, 540, 27029, 1805, 3530, 1409, 6686, 327, 17243, 257, 729, 849, 4122, 5219, 547, 3274, 607, 834, 7704, 268, 674, 6686, 327, 17243, 8487, 265, 634, 7584, 540, 27029, 1805, 584, 916, 10420, 325, 6686, 327, 17243, 257, 729, 1152, 1031, 676, 519, 654, 3530, 523, 4149, 306, 563, 265, 634, 7584, 540, 27029, 302, 828, 560, 326, 745, 653, 523, 325, 6686, 327, 17243, 257, 1705, 711, 2291, 2394, 476, 3707, 273, 543, 729, 8385, 2813, 547, 2285, 9972, 654, 3530, 523, 4149, 306, 2637, 5644, 6697, 7584, 547, 1284, 327, 3944, 25638, 29962, 2637, 5644, 269, 8307, 2185, 1004, 2479, 4371, 519, 7584, 540, 834, 302, 828, 560, 326, 745, 653, 523, 325, 6686, 327, 17243, 8487, 265, 9399, 10492, 8066, 519, 7584, 540, 27029, 18184, 6914, 325, 6686, 327, 17243, 257, 543, 1657, 20595, 7584, 1202, 793, 807, 593, 1312, 27897, 15649, 269, 2353, 824, 9399, 2818, 20595, 741, 7584, 593, 519, 2451, 27897, 15429, 1247, 606, 9399, 1770, 3983, 613, 729, 12816, 593, 519, 1318, 563, 265, 9399, 1185, 1100, 3044, 10571, 26977, 7429, 519, 1261, 518, 267, 865, 930, 9399, 10492, 12212, 20595, 2688, 2966, 3190, 10571, 609, 840, 268, 4350, 280, 454, 1103, 2442, 2528, 454, 295, 14019, 570, 4669, 1194, 913, 781, 8828, 7861, 800, 3126, 540, 14595, 3620, 626, 800, 9089, 267, 519, 20752, 15213, 9549, 22651, 17647, 7584, 4408, 708, 23550, 1346, 540, 519, 9399, 563, 296, 534, 21025, 749, 523, 611, 2194, 566, 540, 9400, 8633, 267, 3751, 9400, 31273, 513, 4164, 26090, 3109, 7833, 609, 519, 1202, 793, 807, 540, 606, 834, 7704, 14114, 828, 560, 326, 745, 653, 523, 325, 6686, 327, 17243, 8487, 265, 769, 519, 30841, 543, 744, 22849, 3126, 454, 295, 20635, 532, 267, 519, 1292, 21087, 1235, 616, 513, 1895, 540, 9399, 7980, 267, 543, 789, 616, 5219, 547, 676, 4436, 7584, 538, 519, 744, 22849, 10001, 561, 10719, 4967, 563, 305, 3471, 543, 1202, 793, 807, 540, 519, 853, 584, 332, 629, 974, 559, 2426, 454, 21008, 894, 4108, 16034, 540, 2622, 2782, 4083, 454, 8266, 540, 9399, 10986, 454, 265, 16170, 584, 1111, 580, 267, 17054, 655, 2335, 267, 543, 4168, 2098, 10938, 269, 834, 763, 15610, 540, 519, 12059, 25415, 2668, 476, 2735, 276, 563, 265, 12287, 6773, 6796, 19475, 540, 519, 590, 2529, 1421, 454, 13233, 19964, 543, 19475, 10029, 267, 5441, 5244, 267, 15930, 454, 5719, 583, 22385, 31538, 523, 2580, 2817, 31012, 4436, 20709, 9549, 267, 476, 4350, 279, 454, 310, 1731, 12855, 7690, 269, 476, 1001, 271, 563, 16100, 693, 824, 21594, 912, 305, 3471, 543, 1202, 793, 807, 540, 519, 853, 584, 332, 629, 974, 559, 2426, 2443, 634, 16034, 543, 1202, 793, 807, 540, 519, 853, 584, 332, 629, 974, 559, 2426, 630, 6347, 264, 941, 519, 1101, 4164, 26090, 7584, 1062, 547, 581, 2919, 676, 519, 13303, 9549, 538, 476, 4572, 271, 269, 634, 10643, 543, 2453, 1031, 676, 519, 14408, 941, 5555, 7550, 676, 1896, 824, 13303, 4164, 26090, 2516, 267, 1851, 2507, 2560, 9504, 454, 305, 3471, 543, 1202, 793, 807, 540, 519, 13609, 15272, 2443, 634, 681, 3471, 543, 1202, 793, 807, 540, 519, 13609, 15272, 941, 513, 13303, 9549, 4164, 26090, 7584, 1062, 602, 11478, 689, 476, 4350, 273, 547, 476, 3707, 276, 269, 634, 13609, 15272, 1185, 11478, 585, 5176, 513, 8717, 1354, 267, 855, 519, 3919, 1705, 711, 2226, 1022, 1880, 1062, 540, 16034, 269, 2507, 2560, 9504, 454, 19913, 583, 345, 560, 3530, 601, 2443, 9399, 28570, 338, 1934, 269, 1280, 824, 3096, 267, 1294, 9399, 630, 4134, 3711, 580, 6672, 1040, 9399, 5576, 583, 345, 560, 3530, 601, 9399, 1202, 793, 807, 2560, 9504, 454, 21008, 894, 11464, 16034, 540, 2622, 2782, 4083, 2443, 634, 1739, 3349, 2982, 13354, 11464, 16034, 540, 2101, 20466, 543, 31196, 7060, 1282, 2622, 2782, 4083, 269, 1280, 2413, 16034, 3277, 547, 22414, 4108, 16034, 269, 26395, 312, 281, 13108, 8136, 5794, 10414, 654, 3530, 523, 9399, 270, 5472, 613, 1889, 710, 9399, 9198, 545, 16034, 711, 1808, 547, 1022, 2507, 2560, 9504, 454, 18197, 2276, 8136, 21821, 539, 7584, 1202, 793, 807, 540, 2622, 2782, 4083, 2443, 634, 772, 2529, 269, 8136, 21821, 539, 7584, 1202, 793, 807, 602, 729, 1031, 1282, 2622, 2782, 4083, 15320, 689, 519, 1699, 1062, 269, 634, 2681, 10325, 1031, 585, 519, 1202, 793, 807, 521, 1750, 341, 1258, 1374, 729, 3989, 607, 2901, 8988, 15454, 593, 4158, 4544, 267, 14462, 1951, 321, 593, 4158, 4544, 267, 610, 737, 327, 13403, 593, 2507, 2560, 9504, 454, 21008, 894, 4108, 16034, 540, 2622, 2782, 4083, 2443, 634, 1739, 3349, 2982, 13354, 11464, 16034, 540, 2101, 20466, 543, 31196, 7060, 1282, 2622, 2782, 4083, 269, 1280, 2413, 16034, 3277, 547, 22414, 4108, 16034, 269, 26395, 312, 15311, 301, 8283, 281, 6635, 3240, 281, 21080, 10414, 1496, 21080, 10414, 16034, 3160, 547, 13598, 8136, 16034, 616, 711, 3254, 20426, 2507, 2560, 9504, 454, 8266, 540, 13354, 4108, 16034, 2443, 901, 2376, 568, 513, 1592, 540, 1585, 2829, 11439, 4229, 20823, 1374, 725, 269, 10313, 11143, 616, 1500, 1063, 519, 1114, 1949, 1031, 676, 6082, 547, 30387, 519, 15796, 540, 606, 11439, 3196, 3379, 547, 1776, 269, 11153, 540, 891, 8638, 2446, 24114, 2507, 2560, 9504, 454, 22117, 11429, 16034, 540, 519, 853, 584, 332, 629, 974, 559, 2426, 2443, 941, 519, 10643, 543, 7158, 4371, 676, 519, 4971, 619, 540, 519, 853, 584, 332, 629, 974, 559, 2426, 630, 6347, 264, 540, 519, 13303, 9549, 1063, 519, 1296, 540, 476, 4572, 271, 543, 476, 3707, 276, 269, 634, 18678, 19524, 540, 519, 3003, 14408, 729, 744, 828, 3122, 14408, 674, 6686, 327, 17243, 267, 513, 5707, 983, 2990, 267, 1247, 4258, 325, 964, 853, 629, 525, 267, 519, 2507, 2560, 9504, 454, 21008, 894, 4108, 16034, 540, 2622, 2782, 4083, 14121, 11391, 272, 2443, 24315, 7728, 8121, 12087, 4041, 281, 22414, 4108, 16034, 540, 2622, 2782, 4083, 763, 1739, 3349, 2982, 13354, 11464, 16034, 540, 2101, 20466, 543, 31196, 7060, 1282, 2622, 2782, 4083, 269, 1280, 2413, 16034, 3277, 547, 22414, 4108, 16034, 269, 11683, 5171, 711, 3254, 2560, 9504, 454, 301, 21532, 5428, 4164, 26090, 16034, 2443, 941, 29660, 4108, 10643, 799, 941, 1031, 676, 519, 2817, 31012, 4436, 20709, 9549, 1063, 519, 1296, 540, 476, 4572, 271, 543, 476, 3707, 276, 269, 4595, 519, 13303, 9549, 729, 676, 922, 1360, 2470, 513, 4164, 26090, 3919, 267, 676, 519, 942, 540, 519, 5822, 2622, 2782, 267, 1896, 2507, 2560, 9504, 0, 2691, 519, 18142, 3909, 7128, 9307, 602, 922, 10492, 786, 711, 10654, 2021, 6117, 6517, 1317, 972, 568, 1100, 1876, 1996, 621, 267, 930, 2808, 713, 513, 2318, 1900, 2509, 8236, 2021, 781, 1318, 547, 5397, 269, 901, 555, 1941, 344, 3390, 20998, 519, 2518, 18879, 593, 1210, 3114, 9604, 538, 16850, 256, 4658, 538, 18142, 17936, 267, 538, 1840, 547, 519, 1857, 5238, 543, 519, 8387, 262, 6898, 267, 1491, 7140, 547, 946, 741, 1654, 1729, 2924, 3823, 713, 3390, 563, 5278, 2161, 621, 781, 513, 7262, 2014, 602, 6663, 547, 6861, 519, 2486, 781, 26069, 11065, 611, 6319, 620, 5174, 880, 337, 454, 1607, 2014, 814, 5892, 2938, 1079, 7341, 269, 634, 1101, 835, 729, 9250, 538, 476, 1960, 271, 950, 476, 2412, 2021, 22755, 6517, 269, 634, 11036, 729, 10792, 569, 555, 342, 14975, 543, 519, 2021, 781, 957, 729, 28715, 269, 634, 2021, 945, 22755, 519, 6517, 941, 27052, 676, 7303, 873, 689, 8876, 856, 741, 6009, 585, 1079, 1296, 269, 634, 3877, 540, 713, 1650, 666, 581, 1336, 538, 519, 1433, 968, 763, 14520, 628, 540, 5437, 892, 2854, 676, 1079, 540, 519, 2021, 269, 0, 10813, 293, 12824, 11554, 547, 21079, 32035, 538, 12128, 6874, 13015, 27620, 454, 5445, 5063, 4607, 513, 5176, 1269, 6110, 267, 1822, 9886, 689, 808, 11403, 293, 267, 19497, 519, 19565, 12128, 3194, 7690, 267, 547, 1711, 513, 28994, 3121, 609, 513, 15098, 602, 759, 1235, 3968, 543, 20206, 1637, 563, 290, 2335, 10358, 616, 13740, 17332, 883, 519, 1560, 896, 519, 2960, 3842, 513, 13549, 585, 3096, 971, 607, 28720, 5061, 267, 543, 538, 519, 2013, 540, 3987, 2126, 267, 7378, 6765, 3842, 513, 6802, 269, 634, 7378, 19899, 4288, 28994, 3121, 23119, 689, 8374, 540, 6553, 543, 4220, 540, 3968, 1472, 519, 28994, 3121, 602, 1291, 547, 621, 1373, 3774, 539, 1055, 689, 519, 1560, 267, 799, 568, 849, 1634, 607, 20206, 1637, 267, 543, 6038, 6971, 519, 4398, 540, 7378, 6765, 563, 2026, 513, 1267, 267, 4657, 519, 28994, 3121, 568, 1419, 2877, 1169, 835, 610, 1079, 2395, 543, 666, 581, 11213, 543, 2352, 585, 2550, 267, 2523, 1453, 563, 4913, 267, 519, 1007, 15098, 1373, 2919, 1223, 1450, 3987, 2550, 547, 979, 689, 17596, 547, 5372, 741, 28994, 3121, 827, 1169, 1079, 2395, 547, 7654, 1152, 2899, 513, 3923, 563, 2108, 7197, 540, 519, 5010, 28994, 10358, 602, 2550, 616, 1210, 1318, 1631, 798, 711, 2731, 723, 1022, 7271, 610, 1259, 547, 2569, 519, 3968, 610, 20206, 1637, 2152, 2223, 1767, 10906, 645, 5142, 2692, 529, 267, 513, 2326, 2257, 543, 4702, 13930, 7548, 538, 17459, 293, 779, 5441, 540, 7177, 543, 8950, 3163, 945, 568, 3056, 519, 1382, 563, 2108, 14813, 4288, 1790, 2794, 3797, 666, 581, 11213, 1317, 2550, 723, 547, 7696, 513, 1007, 28994, 3121, 1169, 1906, 2395, 2223, 1352, 1767, 269, 968, 2171, 2461, 15691, 602, 519, 1007, 28994, 3121, 15098, 786, 2569, 602, 4908, 547, 2899, 1169, 476, 1789, 2395, 269, 2334, 779, 835, 540, 938, 3853, 3034, 763, 15098, 645, 5142, 2692, 529, 568, 3384, 3096, 6491, 878, 12547, 547, 20758, 1055, 5563, 543, 2061, 20206, 1637, 543, 568, 513, 11140, 3812 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2517, 4178, 269, 604, 613, 3820, 30406, 270, 1960, 279, 8276, 1105, 14672, 9749, 25834, 279, 321, 21867, 269, 476, 273, 19877, 538, 7200, 1047, 918, 1512, 22974, 267, 769, 3955, 16303, 27418, 267, 13834, 568, 513, 13216, 7726, 267, 8863, 296, 269, 570, 6020, 289, 1421, 4873, 476, 736, 267, 476, 1960, 280, 267, 693, 476, 272, 269, 476, 274, 808, 5282, 20707, 629, 9567, 267, 5967, 538, 966, 728, 582, 1901, 281, 2473, 18958, 312, 630, 299, 1446, 327, 1924, 727, 16223, 1299, 623, 7163, 717, 1446, 476, 1220, 271, 1070, 2139, 693, 5291, 2517, 4178, 269, 17839, 564, 719, 2593, 9706, 641, 25468, 336, 7933, 321, 270, 1326, 28291, 11258, 286, 277, 4343, 1626, 269, 476, 273, 2755, 954, 16303, 1453, 616, 7142, 547, 10929, 6391, 1510, 741, 5483, 9844, 267, 1354, 789, 666, 6430, 585, 2933, 1018, 23361, 267, 952, 1022, 267, 616, 3617, 267, 19574, 1004, 616, 1419, 17792, 1272, 22766, 2564, 2126, 538, 519, 1106, 540, 4008, 268, 3530, 15256, 23361, 543, 9449, 3797, 5103, 711, 1152, 5483, 9844, 855, 741, 2178, 7287, 585, 891, 5574, 269, 6884, 267, 593, 519, 824, 1688, 267, 19574, 4079, 616, 2838, 547, 10929, 23361, 547, 14883, 741, 4703, 547, 6093, 18765, 540, 5256, 543, 4775, 538, 1931, 547, 3489, 4977, 8446, 543, 824, 6054, 267, 5103, 602, 891, 23361, 616, 13311, 538, 930, 2665, 269, 2755, 621, 949, 3100, 899, 19574, 543, 954, 16303, 2950, 616, 693, 12918, 593, 519, 5294, 543, 931, 540, 6391, 267, 538, 4641, 713, 568, 711, 519, 2013, 269, 3776, 2950, 616, 8087, 676, 519, 3741, 540, 9844, 543, 13190, 269, 769, 1840, 267, 1312, 19574, 543, 954, 16303, 15628, 1616, 938, 2950, 547, 581, 2111, 547, 1569, 1416, 602, 568, 1199, 1227, 2556, 20196, 513, 1268, 2115, 547, 2661, 513, 2635, 267, 16180, 1272, 269, 5871, 19574, 1995, 5871, 954, 16303, 1995, 3117, 550, 1879, 513, 19574, 1268, 11394, 856, 513, 1808, 17441, 610, 10551, 2126, 610, 547, 2661, 607, 513, 4008, 824, 982, 602, 799, 789, 941, 8655, 267, 789, 9844, 547, 713, 2564, 1416, 269, 1879, 606, 954, 16303, 1126, 779, 3237, 610, 7189, 6430, 513, 1126, 779, 1560, 1058, 14883, 547, 6093, 18765, 540, 5256, 610, 4775, 267, 543, 519, 1126, 568, 7142, 547, 10929, 3339, 1944, 6391, 1510, 741, 1378, 3403, 267, 519, 1126, 1281, 711, 9844, 547, 519, 10551, 27327, 540, 741, 1560, 269, 4201, 16860, 3690, 14054, 1004, 723, 519, 1318, 547, 13190, 267, 799, 2882, 7682, 532, 543, 11589, 741, 4008, 269, 1358, 1058, 581, 2111, 547, 1569, 519, 2200, 630, 10175, 782, 3029, 540, 2564, 1416, 264, 602, 789, 1745, 616, 2556, 543, 3617, 547, 741, 1367, 1184, 540, 5912, 269, 3143, 835, 1058, 3196, 610, 2604, 513, 19574, 1268, 547, 10929, 5773, 267, 971, 607, 17441, 2126, 610, 6391, 267, 602, 789, 798, 711, 6999, 585, 2933, 269, 3955, 16303, 1453, 723, 519, 1318, 547, 13190, 267, 799, 1797, 519, 1318, 547, 1332, 909, 543, 6430, 585, 2933, 2436, 789, 1616, 1022, 5773, 267, 971, 607, 17441, 2126, 610, 6391, 267, 5340, 593, 741, 4703, 269, 3143, 835, 267, 1519, 519, 954, 16303, 1126, 779, 3237, 610, 7189, 267, 1058, 581, 4847, 547, 1118, 602, 3375, 585, 873, 1317, 789, 949, 3442, 606, 6304, 602, 519, 954, 16303, 1268, 1131, 711, 6999, 585, 2933, 269, 3465, 6326, 519, 954, 16303, 1126, 779, 13190, 1797, 9319, 1818, 2123, 267, 26464, 3664, 865, 602, 950, 519, 1126, 568, 4587, 267, 789, 666, 2769, 741, 4008, 543, 1689, 630, 528, 6430, 711, 547, 1689, 264, 741, 1560, 538, 1175, 519, 2081, 789, 1616, 269, 6481, 3026, 947, 640, 1280, 513, 19574, 1268, 267, 2564, 2126, 1644, 547, 741, 5912, 630, 7945, 607, 10399, 610, 6391, 264, 568, 3006, 1199, 1227, 2556, 269, 3502, 782, 19574, 1004, 1616, 5912, 22366, 2564, 2126, 267, 543, 952, 606, 1367, 1281, 711, 1616, 2564, 2126, 267, 621, 568, 711, 2556, 585, 602, 1268, 269, 1717, 267, 950, 513, 19574, 1268, 13668, 17441, 610, 10551, 2126, 689, 513, 4387, 1317, 2126, 786, 13468, 741, 4008, 7988, 874, 18319, 267, 602, 2126, 568, 1199, 1227, 2556, 585, 873, 269, 11660, 2090, 723, 3254, 602, 3246, 5912, 22366, 2126, 814, 1072, 2640, 585, 19574, 1004, 267, 543, 602, 27102, 971, 1416, 3123, 2800, 269, 1280, 606, 954, 16303, 1268, 267, 2564, 2126, 1644, 547, 741, 10399, 267, 1024, 8558, 267, 610, 10285, 8219, 568, 1199, 1227, 2556, 2901, 950, 630, 272, 264, 972, 786, 581, 8801, 2168, 1072, 2360, 593, 519, 954, 16303, 1268, 952, 519, 5650, 568, 711, 5645, 856, 267, 552, 3052, 1421, 952, 513, 1126, 4535, 609, 1100, 17256, 6679, 2115, 835, 9112, 865, 602, 10729, 666, 4734, 519, 1560, 267, 610, 630, 273, 264, 606, 954, 16303, 1268, 568, 2111, 547, 1683, 5483, 9844, 543, 13668, 519, 2126, 538, 1931, 547, 13468, 4008, 7988, 874, 18319, 610, 1745, 811, 693, 1753, 538, 741, 1560, 269, 898, 568, 711, 1199, 1227, 2556, 547, 1685, 19058, 610, 16891, 611, 531, 6391, 593, 606, 954, 16303, 1126, 1510, 741, 9844, 950, 519, 3804, 568, 547, 1118, 741, 1560, 1413, 811, 3335, 5256, 610, 4775, 543, 5924, 547, 1118, 741, 2564, 7426, 610, 3237, 1745, 811, 6899, 269, 3143, 3621, 2090, 723, 3254, 4324, 547, 954, 16303, 1004, 689, 1199, 1227, 11991, 6391, 267, 855, 971, 23361, 616, 1634, 547, 2014, 2800, 563, 17311, 9099, 10892, 4724, 891, 9259, 563, 29638, 13509, 543, 7332, 7239, 454, 5472, 519, 2516, 4330, 1657, 723, 1185, 513, 2182, 942, 2713, 538, 741, 9757, 9099, 30013, 4529, 543, 7239, 269, 11569, 267, 2757, 7332, 5640, 543, 29632, 1235, 1419, 1175, 16053, 873, 269, 2986, 519, 2947, 2516, 267, 5640, 1152, 5941, 737, 327, 684, 15925, 543, 544, 4461, 7795, 1317, 267, 2687, 547, 741, 1448, 540, 2070, 267, 891, 1079, 2516, 267, 7429, 519, 824, 1614, 267, 616, 31127, 24813, 269, 18623, 5941, 873, 1317, 741, 24813, 2470, 1185, 547, 581, 3989, 538, 6935, 547, 9099, 11645, 269, 4475, 267, 7332, 29632, 1235, 6140, 2911, 827, 16601, 8026, 540, 737, 327, 684, 15925, 543, 544, 4461, 7795, 538, 1114, 8658, 540, 9099, 10883, 1440, 28619, 630, 25206, 336, 327, 1070, 971, 607, 19454, 267, 11755, 267, 31145, 267, 7365, 267, 18472, 267, 543, 15163, 269, 1717, 267, 1256, 1498, 891, 2853, 941, 5941, 676, 2757, 7332, 5640, 267, 945, 941, 2356, 6659, 538, 30013, 4529, 543, 5156, 538, 9099, 24396, 13348, 8944, 267, 713, 5693, 1705, 711, 1611, 602, 737, 327, 684, 15925, 543, 544, 4461, 7795, 1223, 2661, 538, 9099, 7239, 609, 8956, 543, 1510, 7092, 689, 7130, 543, 15746, 563, 763, 2413, 2165, 19574, 6257, 1312, 2021, 543, 2367, 945, 1745, 602, 789, 616, 16290, 538, 519, 4636, 4703, 543, 949, 6430, 547, 1689, 741, 4703, 998, 3023, 3146, 817, 9892, 23361, 269, 901, 3961, 1281, 711, 1694, 3362, 609, 519, 6688, 3964, 676, 9099, 7239, 538, 6566, 617, 1716, 5771, 269, 11048, 267, 972, 616, 6772, 2355, 543, 267, 540, 1576, 267, 1082, 19574, 7606, 2291, 543, 723, 11478, 538, 7332, 7239, 269, 769, 2487, 5756, 267, 19574, 1004, 723, 1831, 811, 7298, 607, 789, 16175, 6560, 547, 3035, 741, 2924, 269, 1358, 723, 13175, 547, 13889, 1996, 519, 30886, 267, 5208, 267, 543, 7130, 31737, 538, 30013, 2528, 630, 301, 1690, 332, 629, 14508, 267, 476, 1001, 275, 1040, 277, 769, 713, 2376, 267, 594, 786, 1397, 1079, 1806, 540, 971, 9620, 281, 835, 689, 5527, 543, 519, 824, 689, 9459, 269, 1284, 4927, 1294, 875, 891, 9620, 3361, 1079, 1271, 683, 582, 571, 6463, 5640, 547, 3390, 3170, 13195, 3656, 1944, 590, 11965, 676, 695, 926, 685, 320, 1876, 543, 267, 3976, 267, 1533, 1876, 630, 514, 519, 22504, 2013, 1040, 1452, 3170, 13195, 666, 581, 2938, 607, 519, 1101, 1900, 4724, 4758, 19574, 12356, 519, 1318, 547, 2661, 856, 741, 9099, 16431, 563, 9558, 14054, 12356, 616, 10010, 281, 589, 1353, 593, 1079, 2665, 538, 5527, 543, 9459, 454, 2467, 616, 2141, 4220, 602, 19574, 12356, 3068, 538, 2477, 971, 607, 5527, 543, 9459, 267, 799, 616, 13856, 676, 2686, 543, 24396, 13348, 8944, 269, 1452, 4220, 6140, 2097, 689, 2486, 267, 543, 695, 926, 685, 320, 543, 1533, 4031, 269, 3690, 14054, 1004, 267, 607, 3220, 269, 19257, 329, 531, 8932, 630, 1492, 4583, 22504, 3023, 268, 4219, 18874, 264, 2829, 267, 968, 338, 4428, 518, 689, 513, 3668, 540, 4656, 267, 1369, 741, 1378, 1920, 543, 538, 9962, 2486, 269, 2334, 4679, 519, 5626, 2604, 543, 8309, 547, 519, 2362, 1297, 540, 4238, 1848, 630, 307, 7159, 267, 476, 1220, 276, 1040, 11048, 267, 621, 4667, 602, 267, 2094, 789, 616, 3222, 540, 741, 2924, 267, 19574, 1004, 798, 711, 1616, 547, 3398, 15746, 543, 7130, 676, 513, 30013, 2528, 269, 4935, 267, 789, 3323, 8165, 585, 891, 2924, 543, 547, 2661, 609, 2463, 538, 741, 7239, 269, 1358, 17019, 602, 267, 693, 2547, 267, 851, 540, 519, 1966, 6508, 689, 9099, 30013, 18381, 543, 695, 926, 685, 320, 4031, 269, 4475, 267, 789, 20617, 3323, 547, 6560, 585, 741, 2924, 689, 713, 5133, 269, 4340, 547, 891, 19574, 15628, 267, 621, 1223, 581, 4443, 547, 12189, 2686, 2623, 607, 1134, 607, 1533, 4031, 952, 789, 1223, 1118, 7332, 5640, 23590, 741, 1935, 4724, 19574, 1143, 269, 769, 713, 2376, 267, 519, 1079, 7415, 9620, 540, 19574, 12356, 827, 547, 581, 8947, 6542, 602, 513, 15428, 4528, 540, 695, 926, 685, 320, 1876, 593, 519, 19574, 3390, 568, 2009, 269, 1677, 3136, 538, 1469, 267, 594, 4927, 4766, 519, 6560, 540, 22123, 630, 534, 12266, 19574, 264, 543, 6307, 600, 918, 1002, 3019, 630, 534, 22504, 19574, 1040, 6736, 9099, 30013, 18381, 267, 789, 3361, 10609, 727, 7236, 630, 320, 6264, 26757, 685, 320, 32318, 520, 3326, 1695, 543, 519, 6205, 540, 519, 476, 3192, 280, 22504, 7169, 264, 543, 620, 6874, 656, 25596, 630, 300, 340, 1111, 328, 540, 519, 6243, 2094, 476, 2735, 277, 543, 2701, 16554, 540, 1325, 5025, 345, 9618, 476, 1960, 277, 1700, 1001, 271, 264, 547, 3390, 3170, 13195, 3656, 1944, 590, 11965, 563, 19111, 594, 281, 22123, 267, 620, 5025, 345, 9618, 267, 543, 13348, 8944, 454, 1103, 519, 2038, 476, 2735, 271, 338, 267, 513, 1762, 812, 3957, 17166, 344, 573, 19869, 16589, 729, 4974, 693, 519, 2564, 12200, 540, 620, 5025, 345, 9618, 269, 4438, 1010, 1576, 267, 17166, 344, 573, 267, 1247, 19101, 513, 4008, 13509, 1966, 267, 30409, 513, 18673, 543, 17019, 602, 646, 729, 7092, 689, 3665, 4965, 269, 2991, 6514, 267, 519, 18673, 1336, 602, 646, 729, 7092, 689, 968, 17595, 1670, 1200, 332, 7469, 549, 9016, 1143, 892, 630, 531, 10275, 327, 684, 3578, 320, 620, 5991, 2378, 19561, 5984, 1040, 4475, 267, 519, 18673, 968, 339, 8972, 1864, 585, 1614, 1296, 267, 1818, 782, 2009, 4674, 547, 11177, 5256, 4638, 3961, 547, 1864, 267, 855, 5555, 2560, 1496, 1492, 18673, 316, 1185, 547, 2285, 909, 269, 2701, 6045, 519, 5821, 607, 17149, 538, 2665, 899, 713, 1141, 2126, 568, 13175, 1310, 23648, 892, 630, 20597, 990, 8615, 731, 6261, 4394, 523, 267, 476, 1960, 276, 1040, 2991, 602, 267, 519, 18673, 6069, 602, 17166, 344, 573, 10929, 3023, 3146, 817, 9892, 6391, 269, 17166, 344, 573, 4682, 547, 513, 18874, 267, 855, 646, 5219, 17166, 344, 573, 547, 513, 2034, 18673, 269, 634, 2034, 18673, 5555, 598, 2017, 1042, 602, 6391, 729, 519, 1152, 1259, 585, 17166, 344, 573, 269, 7053, 267, 646, 23384, 513, 3023, 3146, 817, 9892, 5106, 538, 519, 3735, 476, 2735, 271, 338, 269, 17652, 1310, 17166, 344, 573, 16626, 267, 646, 3576, 519, 2012, 22123, 630, 320, 4775, 2012, 264, 543, 1869, 2729, 538, 5527, 563, 5475, 519, 6391, 22123, 4682, 585, 1200, 3803, 11400, 267, 855, 519, 632, 534, 540, 519, 2564, 12200, 1705, 711, 1450, 1200, 547, 1491, 873, 538, 519, 2367, 779, 3296, 540, 519, 1153, 269, 2311, 519, 1482, 942, 267, 519, 632, 534, 849, 15189, 547, 4483, 1200, 547, 519, 4807, 779, 2564, 12200, 269, 634, 632, 534, 7691, 602, 22123, 1131, 991, 4013, 6284, 540, 1200, 1007, 3023, 543, 2012, 269, 22123, 267, 4061, 267, 4294, 547, 519, 10029, 540, 6406, 25198, 630, 300, 553, 5055, 1002, 620, 5025, 327, 19789, 620, 5336, 611, 8643, 5984, 264, 547, 723, 1200, 2012, 4957, 689, 17166, 344, 573, 547, 22123, 563, 296 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 25200, 281, 27285, 20540, 281, 27286, 1607, 1449, 5161, 540, 476, 276, 2110, 2626, 2055, 267, 476, 1015, 2110, 1557, 2055, 267, 543, 476, 272, 630, 1993, 476, 274, 264, 1557, 3584, 563, 14112, 8382, 5999, 454, 272, 269, 1548, 1281, 6307, 1616, 590, 830, 517, 547, 2491, 547, 1200, 950, 646, 11564, 888, 273, 269, 4208, 568, 4906, 781, 3993, 19849, 21724, 950, 519, 3444, 568, 11876, 13554, 585, 519, 1101, 11056, 538, 519, 3209, 888, 274, 269, 1548, 1281, 519, 15624, 798, 547, 512, 13550, 4906, 538, 3848, 476, 272, 888, 275, 269, 1548, 1281, 590, 830, 517, 7866, 547, 15260, 675, 519, 1004, 888, 276, 269, 2755, 782, 519, 2367, 616, 538, 14858, 5523, 2465, 781, 13452, 267, 1018, 568, 6428, 727, 936, 2809, 539, 827, 888, 14112, 4828, 5999, 454, 272, 269, 1548, 1281, 513, 6177, 2995, 4906, 827, 24656, 543, 18774, 888, 273, 269, 1548, 798, 4906, 781, 20785, 798, 1310, 4906, 568, 9676, 676, 519, 4254, 693, 717, 996, 572, 2006, 324, 888, 274, 269, 1548, 1281, 15623, 798, 1247, 4906, 543, 519, 824, 20785, 3207, 888, 275, 269, 1548, 568, 519, 2990, 540, 32303, 22654, 693, 519, 1439, 540, 3848, 476, 1839, 888, 276, 269, 1548, 1281, 4906, 2161, 547, 4313, 519, 4057, 538, 595, 1653, 3534, 636, 267, 945, 1413, 547, 1864, 585, 5583, 888, 277, 269, 1215, 1281, 519, 3209, 1439, 888, 278, 269, 1548, 1281, 4906, 4898, 827, 1010, 9909, 888, 279, 269, 4208, 568, 4906, 6126, 950, 646, 30877, 646, 568, 1869, 593, 519, 3444, 538, 3848, 476, 3451, 888, 280, 269, 1548, 1098, 335, 2231, 1063, 4906, 543, 1323, 534, 5362, 888, 1015, 269, 1548, 1281, 4906, 2307, 540, 7225, 553, 1354, 646, 12034, 15815, 622, 888, 2237, 606, 1557, 585, 21450, 540, 519, 1739, 3584, 912, 13625, 13445, 476, 272, 454, 2691, 4906, 530, 1389, 909, 593, 519, 3444, 267, 16734, 602, 646, 568, 711, 513, 10800, 731, 610, 911, 3218, 267, 646, 695, 8083, 834, 3951, 4959, 8028, 23490, 299, 23360, 3633, 10590, 1717, 267, 20673, 656, 345, 752, 529, 8292, 602, 646, 1223, 723, 3079, 22551, 539, 267, 834, 31819, 814, 13175, 1701, 1548, 568, 519, 4644, 540, 713, 3948, 286, 1548, 1281, 20673, 656, 345, 752, 529, 1611, 676, 713, 286, 1548, 568, 4906, 781, 9371, 286, 1215, 1705, 646, 1689, 519, 1158, 286, 1548, 267, 4481, 267, 3459, 609, 1010, 16961, 32267, 542, 267, 543, 1946, 286, 2142, 2386, 547, 13712, 1808, 1806, 689, 519, 1257, 547, 1489, 707, 5098, 563, 13625, 13445, 476, 273, 454, 27716, 15824, 1082, 28986, 267, 855, 693, 2053, 267, 646, 15824, 873, 27235, 267, 610, 18106, 569, 267, 607, 568, 519, 2013, 609, 32303, 22654, 269, 4208, 568, 646, 3006, 8572, 547, 1685, 28986, 6707, 286, 1548, 568, 1114, 827, 891, 13986, 28986, 602, 2306, 873, 2490, 856, 8335, 689, 519, 3283, 602, 616, 3811, 286, 4208, 286, 1548, 1522, 4906, 723, 2944, 8335, 286, 1215, 1281, 646, 1745, 827, 891, 18106, 28986, 286, 4208, 286, 2142, 2386, 547, 13712, 1808, 1806, 689, 519, 1257, 547, 1489, 707, 5098, 563, 13625, 13445, 476, 274, 454, 763, 4354, 572, 5205, 4906, 2429, 519, 1576, 540, 519, 3209, 269, 1215, 568, 519, 4354, 572, 4330, 286, 4208, 568, 621, 1739, 4906, 286, 1548, 568, 922, 3483, 286, 1548, 568, 519, 4644, 540, 922, 6186, 1819, 267, 3662, 2065, 5920, 286, 4208, 568, 519, 4354, 572, 2663, 5219, 547, 607, 513, 3993, 4137, 286, 2142, 2386, 547, 13712, 1808, 1806, 689, 519, 1257, 547, 1489, 707, 5098, 563, 1607, 3296, 3568, 476, 273, 267, 22724, 1913, 454, 26140, 269, 476, 279, 3817, 693, 476, 4968, 1913, 829, 2985, 264, 0, 12812, 1934, 547, 1451, 811, 563, 309, 564, 560, 22901, 269, 2353, 2924, 11603, 563, 309, 564, 560, 22901, 1281, 711, 1683, 2564, 5796, 267, 5868, 267, 610, 2126, 269, 6423, 16952, 6176, 20064, 291, 1410, 600, 996, 553, 821, 21109, 4152, 568, 1031, 547, 948, 13209, 595, 5241, 781, 2068, 267, 513, 2783, 602, 5540, 519, 29427, 15374, 538, 5243, 269, 595, 5241, 781, 2068, 568, 1454, 1447, 1455, 538, 454, 290, 677, 18066, 568, 513, 32104, 9449, 3812, 676, 519, 1560, 779, 29427, 15374, 269, 7201, 3339, 6381, 267, 519, 1560, 814, 3810, 2919, 1949, 1572, 5955, 6127, 602, 1852, 875, 1454, 23280, 519, 1560, 7472, 269, 901, 2636, 519, 29427, 15374, 547, 3132, 22812, 3161, 2362, 610, 2539, 5666, 540, 23280, 267, 1759, 593, 519, 1560, 779, 2115, 269, 23634, 18066, 5540, 1082, 1949, 538, 519, 1560, 267, 1519, 519, 4761, 1062, 543, 1949, 602, 1852, 519, 1560, 779, 5714, 3666, 269, 595, 5241, 781, 2068, 4386, 950, 1945, 538, 519, 1560, 3123, 519, 29427, 15374, 547, 23304, 731, 519, 3339, 5955, 6127, 269, 6884, 595, 5241, 781, 2068, 568, 3361, 676, 513, 10510, 593, 835, 540, 519, 29427, 15374, 267, 799, 5170, 547, 1118, 23280, 5103, 6786, 689, 519, 1560, 10213, 621, 547, 3247, 269, 6884, 267, 519, 29427, 15374, 616, 968, 339, 4459, 539, 892, 676, 1776, 14189, 630, 1492, 30783, 14189, 538, 519, 2634, 264, 883, 11173, 547, 3132, 1932, 1454, 23280, 563, 290, 5241, 781, 2068, 5555, 2164, 538, 2942, 2360, 593, 519, 1560, 1813, 547, 519, 13455, 936, 335, 3174, 543, 5305, 540, 23280, 269, 11916, 4191, 2404, 609, 454, 290, 5241, 781, 2068, 666, 1331, 519, 1739, 912, 288, 32609, 600, 996, 553, 821, 21109, 1449, 11974, 2436, 519, 1560, 779, 23280, 5955, 6127, 616, 2324, 5265, 269, 28611, 267, 952, 519, 1560, 568, 2016, 23280, 689, 606, 3544, 2707, 630, 1721, 1383, 267, 538, 513, 10788, 610, 676, 13297, 1070, 519, 29427, 15374, 968, 9418, 1125, 892, 602, 972, 568, 3606, 23280, 538, 519, 1560, 267, 543, 789, 4431, 676, 13302, 741, 1378, 2504, 543, 5305, 540, 519, 9449, 269, 1717, 267, 952, 519, 5955, 6127, 616, 711, 2324, 5265, 267, 519, 29427, 15374, 786, 3136, 547, 3132, 23280, 5103, 519, 4367, 540, 3606, 9424, 269, 901, 20025, 3210, 676, 519, 29427, 15374, 568, 5812, 609, 513, 5868, 540, 454, 290, 5241, 781, 2068, 269, 2659, 16943, 949, 849, 4363, 3606, 4152, 547, 948, 6166, 513, 5868, 563, 7312, 16943, 786, 2253, 519, 1449, 676, 5373, 513, 1507, 2179, 540, 1973, 689, 707, 454, 27594, 547, 2638, 519, 15977, 12462, 11034, 532, 14615, 23280, 1377, 269, 30850, 267, 513, 1360, 1507, 9570, 540, 23280, 568, 2016, 676, 13297, 269, 19244, 1973, 5439, 616, 1287, 3144, 693, 1808, 11996, 630, 320, 1906, 3108, 6306, 264, 547, 2268, 519, 23280, 1377, 543, 3313, 952, 519, 1560, 779, 3210, 547, 519, 13297, 540, 23280, 568, 3617, 269, 634, 1973, 5439, 616, 11643, 547, 513, 10368, 8047, 269, 11778, 616, 3622, 2139, 1369, 513, 1906, 2395, 563, 7312, 16943, 786, 2693, 4363, 602, 707, 2915, 2611, 538, 519, 6413, 585, 519, 1906, 3108, 602, 616, 2877, 547, 2347, 519, 32609, 600, 996, 553, 821, 21109, 1449, 269, 901, 568, 547, 2057, 2566, 630, 1721, 1383, 267, 689, 513, 1286, 11878, 1070, 799, 666, 1860, 707, 2915, 779, 23280, 1377, 543, 2569, 519, 6111, 540, 519, 3803, 1449, 1267, 269, 13575, 2676, 323, 9233, 18460, 32609, 600, 996, 553, 821, 21109, 4152, 616, 17303, 6854, 538, 513, 1360, 9602, 1858, 540, 519, 6413, 547, 2569, 2566, 543, 10761, 607, 519, 1449, 568, 1373, 5340, 269, 2659, 16943, 949, 2307, 596, 547, 609, 3835, 1426, 593, 519, 1554, 540, 519, 1449, 269, 1411, 1058, 2446, 1022, 6527, 610, 9360, 602, 707, 4620, 949, 581, 8391, 267, 607, 930, 6464, 666, 1860, 519, 6111, 540, 519, 1449, 269, 2142, 2386, 547, 2232, 1022, 2055, 610, 4145, 609, 707, 16943, 563, 2467, 616, 1360, 1906, 4220, 2404, 609, 32609, 600, 996, 553, 821, 21109, 4152, 269, 634, 2179, 540, 23280, 602, 568, 2016, 676, 13297, 568, 1360, 1507, 543, 568, 711, 2614, 547, 2014, 2427, 2360, 269, 14301, 1973, 3217, 1152, 513, 1906, 7643, 267, 543, 707, 18915, 2319, 786, 1491, 15416, 547, 2327, 602, 707, 4620, 568, 711, 13676, 1282, 713, 5650, 269, 4495, 1973, 568, 5833, 267, 782, 2417, 4393, 568, 5340, 693, 707, 16943, 779, 5604, 610, 693, 513, 10368, 8047, 267, 865, 972, 568, 1100, 1981, 540, 2800, 547, 707, 4620, 563, 28536, 3151, 595, 5241, 781, 2068, 666, 581, 7294, 267, 855, 2038, 5868, 666, 1611, 2038, 2126, 543, 513, 1732, 4960, 693, 513, 3339, 1272, 269, 11153, 1114, 4255, 666, 581, 5340, 547, 13209, 595, 5241, 781, 2068, 267, 865, 707, 16943, 949, 4363, 7900, 2789, 4255, 547, 948, 6166, 519, 5868, 563, 1607, 2376, 814, 1044, 12649, 676, 513, 16076, 514, 4115, 563, 12024, 713, 2376, 286, 5620, 513, 1448, 540, 2070, 547, 2671, 286, 2913, 721, 917, 2336, 27852, 325, 16146, 538, 674, 1180, 5918, 30086, 267, 16855, 2676, 17647, 1044, 11112, 11324, 5224, 21868, 13530, 689, 454, 10445, 694, 9955, 713, 3923, 563, 3963, 616, 707, 623, 22259, 781, 4064, 26911, 286, 1772, 621, 454, 338, 12522, 547, 9514, 1673, 787, 707, 2915, 286, 1284, 4312, 3893, 519, 454, 753, 9955, 547, 707, 25462, 7498, 2710, 596, 917, 707, 2295, 11988, 5013, 286, 6423, 454, 604, 596, 666, 7058, 2436, 891, 2185, 454, 28695, 6898, 616, 3020, 610, 7301, 563, 9989, 707, 6539, 1399, 11116, 543, 804, 1177, 693, 707, 2960, 454, 15290, 1352, 4249, 286, 631, 1731, 30448, 2142, 14982, 6941, 454, 6011, 547, 28570, 713, 2392, 2218, 7498, 5970, 596, 4862, 602, 13342, 568, 513, 1753, 16185, 585, 7904, 553, 610, 602, 11255, 7314, 543, 5243, 666, 1406, 1205, 7904, 553, 286, 1411, 4862, 4636, 563, 1432, 4523, 950, 596, 3444, 513, 8738, 332, 3150, 609, 513, 25590, 577, 8759, 14655, 286, 1411, 1205, 513, 8738, 332, 8759, 267, 513, 6653, 543, 9788, 25746, 3032, 563, 14188, 596, 585, 20401, 532, 269, 0, 303, 18824, 12844, 333, 731, 910, 6742, 515, 538, 519, 18226, 4055, 476, 4350, 274, 269, 7822, 538, 1010, 3735, 7206, 25186, 10855, 1543, 282, 621, 7575, 1134, 2476, 689, 519, 2199, 2681, 540, 513, 595, 2946, 345, 22828, 1869, 1272, 267, 585, 1383, 269, 769, 519, 3735, 25704, 267, 2681, 3587, 519, 1641, 267, 519, 6174, 540, 1769, 267, 543, 519, 1797, 676, 799, 649, 4283, 519, 10367, 609, 938, 4064, 269, 4635, 3905, 543, 4411, 24698, 267, 12844, 333, 731, 10274, 519, 3750, 267, 1360, 22393, 267, 593, 606, 7045, 998, 519, 2318, 543, 2942, 5624, 540, 1010, 1950, 666, 341, 1162, 563, 303, 18824, 12844, 333, 731, 910, 26540, 538, 513, 642, 848, 269, 12844, 333, 731, 267, 3943, 18048, 543, 1820, 20447, 267, 4759, 540, 519, 1895, 540, 5159, 1572, 519, 715, 629, 529, 543, 26063, 513, 6205, 540, 519, 2271, 574, 1235, 282, 568, 3622, 9833, 607, 835, 540, 519, 6574, 7990, 1235, 540, 2413, 1148, 269, 0, 268, 11752, 540, 9804, 21655, 454, 268, 25043, 540, 10570, 26034, 454, 268, 17449, 21655, 454, 268, 2473, 11920, 543, 5925, 23151, 21655, 454, 268, 1763, 28585, 23760, 1436, 21655, 454, 288, 3791, 1362, 540, 3457, 585, 12165, 532, 26034, 616, 1634, 607, 31785, 18852, 269, 1452, 7405, 7941, 519, 1769, 609, 5033, 527, 4920, 8001, 7252, 267, 6721, 1079, 610, 811, 20832, 602, 2951, 1114, 10092, 543, 1287, 21921, 710, 269, 769, 21655, 267, 519, 9030, 31785, 18852, 616, 1346, 2919, 676, 519, 1977, 21997, 589, 6993, 269, 631, 7865, 28952, 630, 6642, 272, 264, 538, 606, 3801, 547, 1265, 519, 24788, 26448, 552, 750, 12544, 19858, 5420, 2219, 693, 602, 942, 547, 829, 341, 1228, 782, 2230, 11652, 676, 1079, 3943, 21575, 267, 8176, 28529, 787, 543, 21238, 623, 2946, 8527, 630, 6245, 277, 1070, 4481, 585, 1164, 22822, 21655, 563, 1103, 519, 631, 7865, 28952, 31785, 10309, 267, 606, 10071, 11237, 540, 1769, 16716, 513, 21266, 1540, 5033, 527, 4920, 8001, 11604, 543, 17337, 519, 1769, 883, 513, 10630, 543, 10299, 5951, 269, 1452, 6329, 3136, 547, 741, 9757, 19141, 267, 616, 10630, 267, 543, 2132, 547, 519, 5033, 527, 4920, 8001, 11604, 269, 1403, 519, 2698, 1297, 540, 14251, 725, 540, 519, 1079, 6329, 1282, 741, 5094, 10092, 1039, 909, 547, 581, 606, 7533, 1297, 1175, 1310, 21921, 1456, 593, 519, 13148, 10452, 2627, 540, 519, 11237, 8237, 614, 267, 519, 1769, 689, 519, 1079, 20832, 786, 1039, 4020, 1947, 543, 581, 9859, 4724, 513, 18785, 269, 901, 3926, 1287, 6411, 607, 513, 6882, 602, 18993, 1080, 4776, 5166, 6053, 1978, 20966, 543, 9356 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3848, 476, 1691, 281, 26736, 2742, 8212, 543, 922, 5082, 337, 4328, 8177, 692, 5970, 596, 2479, 4862, 827, 11919, 286, 3143, 267, 649, 2811, 711, 6158, 827, 519, 8631, 538, 707, 1973, 256, 26736, 2742, 267, 538, 6323, 2474, 267, 568, 1419, 1572, 519, 8772, 1533, 540, 2339, 269, 1411, 1522, 1589, 972, 616, 1152, 1614, 2829, 540, 2339, 910, 4396, 267, 5277, 267, 543, 3154, 269, 1717, 267, 950, 596, 3002, 909, 513, 3154, 2614, 267, 621, 7140, 883, 11919, 1107, 513, 2706, 14653, 267, 30788, 9901, 6219, 269, 5994, 952, 3388, 1472, 721, 1223, 1831, 865, 3905, 602, 9211, 1205, 5679, 18088, 1055, 8444, 267, 7432, 873, 883, 6263, 5536, 1572, 12274, 269, 2334, 781, 1018, 4523, 609, 11919, 2439, 3086, 267, 1946, 798, 649, 991, 547, 1451, 827, 713, 10578, 1106, 540, 2339, 286, 5221, 11919, 4249, 513, 1713, 1909, 538, 938, 2729, 267, 1256, 1498, 649, 949, 711, 8275, 621, 269, 1280, 3236, 267, 19440, 4191, 946, 11919, 547, 1769, 909, 282, 1346, 10477, 8279, 596, 1294, 3544, 15945, 2270, 15626, 9362, 899, 19440, 610, 2415, 517, 12699, 2394, 789, 2490, 883, 11919, 269, 26812, 3215, 267, 3884, 1405, 621, 31841, 3719, 875, 1281, 5201, 3514, 883, 713, 4605, 286, 4270, 267, 2094, 11919, 5161, 540, 9901, 5536, 267, 621, 20781, 9244, 547, 5122, 4610, 269, 1879, 891, 9901, 5536, 1847, 267, 789, 1711, 3167, 14768, 267, 1175, 899, 538, 12904, 950, 596, 6467, 593, 513, 17689, 269, 1452, 7544, 7575, 540, 9901, 5536, 849, 3132, 6419, 4610, 267, 1818, 11919, 3833, 513, 1397, 17380, 704, 2439, 4131, 781, 1491, 513, 6251, 1413, 693, 930, 1483, 8996, 3156, 1141, 11919, 25998, 609, 5122, 3344, 1384, 265, 2878, 288, 584, 23768, 4995, 17451, 2938, 5961, 540, 18198, 8832, 28691, 610, 8828, 28691, 286, 1358, 2049, 1813, 547, 3859, 12798, 8876, 9901, 5536, 602, 2170, 609, 3047, 781, 6419, 2361, 269, 901, 5872, 2300, 2572, 5135, 543, 9436, 6675, 1164, 909, 538, 938, 5790, 267, 2870, 546, 9579, 1782, 10525, 540, 2699, 267, 3039, 267, 4544, 267, 543, 13711, 4778, 269, 12624, 7186, 2386, 6487, 875, 547, 2322, 593, 513, 9735, 11919, 1397, 2336, 265, 2878, 293, 4288, 1234, 716, 832, 4995, 12207, 5326, 540, 19713, 519, 1379, 6383, 676, 6046, 12760, 6547, 14693, 269, 898, 781, 519, 1482, 1184, 602, 7060, 938, 6129, 543, 824, 6801, 269, 1635, 8022, 7250, 4492, 547, 11212, 1164, 5210, 267, 649, 6460, 621, 883, 11919, 267, 3843, 547, 3196, 621, 547, 25146, 1927, 543, 5305, 11999, 5666, 540, 1648, 269, 1403, 3811, 267, 2104, 5481, 1522, 4324, 689, 15777, 267, 12303, 3970, 1652, 1648, 7727, 269, 1215, 3579, 1131, 602, 581, 888, 265, 2878, 303, 584, 2305, 1299, 17904, 9615, 4995, 9894, 596, 917, 602, 9842, 5733, 666, 948, 2973, 909, 13572, 3037, 610, 1216, 286, 7981, 26119, 5352, 9842, 5733, 5627, 3810, 19535, 2249, 5827, 540, 8840, 1524, 14107, 883, 1447, 5739, 6878, 269, 1924, 16310, 1373, 4190, 543, 3532, 267, 11919, 814, 4052, 3096, 1932, 2439, 4504, 29098, 2943, 286, 10289, 519, 4276, 1063, 11919, 543, 5201, 10741, 9885, 547, 1620, 1950, 2067, 9259, 543, 3384, 5499, 4066, 5935, 938, 1158, 269, 3807, 4952, 1018, 9358, 1223, 3605, 538, 713, 13858, 7706, 540, 2257, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 476, 1708, 274, 9919, 30503, 1674, 540, 9906, 14288, 28742, 9906, 8058, 13826, 729, 4371, 593, 4989, 476, 2918, 267, 476, 1708, 274, 693, 519, 1325, 30282, 589, 1066, 320, 563, 1607, 5098, 5784, 519, 1158, 998, 519, 7828, 540, 1480, 2534, 281, 10868, 267, 14486, 267, 19236, 9979, 267, 1480, 2534, 267, 3653, 12535, 267, 543, 6694, 2853, 616, 588, 17097, 1927, 547, 1711, 606, 796, 3553, 339, 1782, 2070, 540, 519, 1158, 1765, 821, 538, 799, 519, 1480, 21313, 3217, 782, 543, 3762, 3297, 2168, 543, 3134, 31906, 531, 24790, 540, 3294, 269, 1703, 779, 513, 20045, 9737, 2974, 6663, 547, 5352, 513, 2168, 543, 3134, 31906, 531, 8818, 1063, 1480, 543, 16507, 5054, 269, 901, 1382, 12116, 1979, 8328, 8925, 547, 2442, 2679, 3334, 267, 5097, 4874, 2861, 13471, 2326, 269, 3733, 4897, 1756, 2861, 6915, 10687, 1842, 2572, 666, 581, 6738, 547, 3035, 2147, 2164, 607, 4874, 675, 628, 2033, 13471, 1510, 519, 22993, 1648, 2838, 676, 19386, 2861, 2472, 269, 3958, 267, 1979, 8328, 2326, 4497, 538, 513, 524, 2784, 548, 3562, 2275, 2784, 548, 2861, 2804, 1062, 602, 7125, 585, 782, 2472, 547, 723, 6225, 3096, 3564, 741, 2332, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 5522, 553, 2742, 8212, 630, 16978, 3740, 31834, 17983, 607, 851, 540, 834, 306, 11799, 1315, 8212, 1315, 24542, 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, 15875, 1143, 543, 922, 8177, 593, 4653, 781, 2622, 692, 6637, 476, 278, 281, 634, 1715, 12019, 2782, 9737, 519, 2136, 2276, 543, 3624, 692, 1103, 938, 5051, 4448, 1158, 267, 972, 616, 1082, 3532, 2477, 3843, 547, 4228, 741, 3310, 543, 1852, 269, 901, 3184, 786, 1445, 593, 1620, 22030, 910, 950, 2178, 6082, 2119, 547, 20441, 21260, 3283, 20833, 267, 17215, 267, 543, 15520, 910, 543, 875, 1079, 2101, 7060, 267, 519, 2136, 2276, 543, 3624, 267, 616, 7722, 538, 1018, 930, 1289, 513, 834, 6124, 12019, 2782, 3010, 5331, 596, 616, 4730, 513, 3014, 1141, 707, 3804, 568, 547, 1831, 519, 16999, 6345, 676, 11018, 607, 1454, 8513, 267, 5763, 267, 543, 18793, 607, 2009, 269, 1411, 1522, 1106, 24816, 267, 14526, 1996, 1866, 267, 543, 1256, 2119, 547, 24183, 824, 5716, 547, 3035, 11802, 269, 2334, 781, 2147, 547, 1018, 4523, 1851, 6082, 12721, 585, 2518, 17282, 2439, 3086, 1577, 781, 2263, 1946, 519, 772, 2529, 269, 543, 3624, 616, 2808, 2706, 335, 10183, 269, 5637, 2477, 723, 7372, 11615, 267, 4359, 2029, 267, 543, 1804, 17740, 2456, 269, 1358, 849, 7119, 8362, 538, 3486, 3906, 899, 519, 2136, 8315, 269, 1717, 267, 1813, 547, 3604, 538, 2418, 267, 4690, 267, 543, 1686, 267, 789, 1419, 1265, 2933, 693, 12918, 609, 835, 1776, 780, 4131, 781, 946, 5026, 31195, 547, 948, 1174, 1732, 269, 6056, 827, 4583, 5026, 19194, 899, 13558, 13292, 1063, 4789, 543, 5125, 610, 14912, 3756, 1063, 519, 7330, 543, 3624, 269, 674, 753, 6612, 2299, 1489, 741, 6887, 1247, 3006, 1373, 2565, 540, 17837, 269, 6684, 267, 891, 1079, 9565, 6082, 1616, 547, 1291, 11451, 855, 949, 10990, 593, 1585, 2152, 971, 607, 1480, 2924, 267, 4123, 4507, 267, 610, 6237, 7526, 780, 3080, 1713, 1858, 540, 8082, 568, 519, 6735, 585, 2200, 267, 6990, 267, 543, 7580, 7158, 1472, 519, 8608, 269, 1280, 1383, 267, 1312, 6082, 1902, 8185, 538, 5989, 3785, 18246, 1107, 1634, 607, 25028, 543, 10003, 19541, 676, 3624, 543, 1977, 4914, 5351, 3292, 269, 1452, 7341, 2832, 547, 7794, 1142, 2197, 781, 2804, 13218, 609, 7649, 6082, 267, 5732, 2810, 741, 21384, 540, 3310, 780, 5194, 8755, 4812, 568, 519, 3162, 3624, 7256, 267, 513, 4105, 1216, 3118, 585, 3486, 11288, 4904, 609, 2067, 2200, 269, 11153, 7489, 2477, 3409, 2694, 540, 713, 3148, 267, 855, 3624, 6811, 3592, 782, 540, 621, 269, 11531, 267, 519, 772, 2529, 1421, 4352, 711, 2348, 1022, 1463, 16857, 6811, 267, 7028, 5191, 540, 12445, 543, 1727, 4680, 19864, 781, 27763, 17535, 6811, 269, 1306, 513, 1267, 267, 17189, 24200, 543, 20320, 13720, 725, 2049, 4749, 267, 4946, 4492, 547, 519, 5571, 13253, 780, 2414, 2417, 635, 12393, 6927, 267, 2487, 2621, 899, 519, 4655, 538, 12907, 666, 1860, 713, 31195, 1932, 269, 1488, 916, 14797, 267, 24476, 267, 543, 2797, 23603, 902, 1711, 3606, 2591, 585, 1312, 2706, 335, 10183, 269, 5047, 267, 4130, 6082, 1590, 6330, 5402, 9624, 713, 1390, 1379, 16311, 267, 13326, 3347, 547, 2149, 741, 1378, 3084, 4690, 780, 4913, 267, 5103, 782, 891, 13253, 267, 3314, 602, 8723, 1004, 2066, 1114, 2477, 2671, 1455, 17050, 585, 4708, 267, 13884, 267, 543, 1514, 5126, 269, 4475, 267, 5807, 8994, 2463, 267, 9316, 267, 543, 5188, 3788, 2629, 585, 20547, 13882, 543, 2679, 513, 1732, 2104, 1927, 780, 2026, 649, 3136, 1565, 827, 1158, 12602, 267, 2141, 1832, 538, 2247, 602, 3297, 1169, 2212, 1467, 6013, 513, 4514, 1650, 7996, 547, 581, 8268, 269, 3776, 7279, 543, 18515, 547, 1451, 786, 7668, 721, 547, 1020, 513, 1134, 25454, 5133, 593, 2221, 781, 1950, 23786, 5251, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 26721, 4139, 9730, 15048, 454, 7072, 2443, 968, 763, 17266, 4107, 12830, 27100, 540, 2622, 9534, 7536, 26721, 814, 4857, 513, 1715, 12019, 2782, 1063, 2475, 543, 4457, 22030, 267, 799, 814, 7682, 539, 3294, 267, 607, 968, 1492, 2582, 1034, 1271, 3693, 540, 1158, 1894, 892, 630, 26721, 2622, 6837, 267, 5988, 476, 1708, 274, 1040, 634, 2112, 538, 12907, 267, 2799, 4108, 13253, 543, 519, 7916, 5198, 267, 519, 1158, 4346, 543, 4123, 267, 1379, 9620, 936, 3310, 543, 2200, 267, 2797, 16839, 2443, 782, 616, 1631, 954, 342, 8576, 609, 519, 11440, 626, 12019, 2782, 269, 2986, 1576, 267, 538, 519, 2063, 3236, 267, 621, 568, 519, 2713, 6560, 540, 1362, 4229, 602, 786, 6430, 519, 6364, 540, 713, 1950, 1184, 563, 11764, 1067, 543, 2038, 15489, 476, 1708, 274, 723, 2938, 1007, 7835, 269, 769, 519, 12907, 2112, 267, 519, 27402, 540, 513, 4108, 26106, 655, 622, 267, 609, 513, 968, 8705, 540, 1140, 761, 542, 892, 2059, 513, 476, 272, 267, 1220, 14790, 4395, 1467, 4881, 998, 12907, 543, 519, 6739, 268, 31039, 11182, 814, 8507, 538, 1007, 16839, 585, 1312, 5011, 267, 543, 811, 865, 585, 18293, 269, 634, 25538, 1676, 21445, 4573, 4176, 538, 6576, 729, 519, 8325, 652, 2769, 328, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7170, 281, 1215, 16871, 3397, 1006, 590, 8491, 3733, 12928, 9231, 6355, 630, 4517, 9320, 4634, 3733, 25141, 2020, 7069, 9393, 6743, 693, 803, 16002, 1227, 2066, 519, 12129, 3349, 267, 8066, 909, 519, 5767, 1840, 547, 1250, 20612, 10504, 12544, 3818, 23469, 1395, 560, 4592, 640, 602, 16004, 811, 11696, 28917, 547, 513, 3552, 28458, 982, 513, 10077, 325, 269, 834, 2791, 1289, 713, 3356, 8119, 646, 4280, 267, 3843, 630, 663, 17528, 264, 547, 16401, 513, 669, 22976, 269, 594, 521, 19042, 267, 6616, 646, 1185, 513, 1448, 269, 3733, 26095, 1870, 729, 10010, 267, 543, 1250, 22573, 3157, 1175, 14201, 1405, 5969, 621, 15042, 780, 2026, 513, 1279, 5503, 5679, 7867, 267, 594, 3576, 11348, 538, 13167, 4190, 4773, 676, 1688, 269, 1717, 267, 5329, 909, 609, 3747, 5921, 27531, 2298, 585, 7274, 269, 11426, 619, 941, 4098, 547, 5469, 20541, 687, 538, 1250, 960, 267, 3056, 547, 2942, 8039, 543, 546, 13388, 1782, 6455, 269, 769, 2110, 267, 1945, 2877, 547, 1689, 952, 594, 4941, 547, 4688, 1312, 1250, 6612, 1788, 543, 938, 4871, 2272, 689, 31587, 798, 558, 780, 3080, 12556, 995, 1554, 267, 1247, 29957, 998, 20835, 1016, 1042, 323, 1080, 5275, 6667, 267, 594, 16686, 2390, 513, 1523, 602, 1131, 11014, 7369, 519, 1576, 540, 1250, 1870, 281, 3397, 850, 12191, 269, 18004, 538, 3301, 1646, 10580, 267, 3397, 850, 11363, 13916, 267, 5698, 267, 6075, 9547, 267, 543, 6024, 6454, 1107, 782, 2418, 2282, 543, 15210, 547, 1250, 2295, 269, 16393, 713, 581, 519, 2626, 594, 9364, 1044, 10478, 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 ]
[ 922, 7127, 883, 519, 1480, 1426, 2230, 998, 5026, 6484, 15129, 2472, 267, 2687, 547, 3397, 293, 8974, 21158, 269, 1809, 1256, 952, 621, 666, 1118, 513, 8903, 2013, 547, 6800, 267, 621, 786, 991, 9431, 13170, 538, 3606, 22875, 952, 621, 4566, 547, 4336, 547, 1007, 6990, 3544, 519, 661, 269, 308, 563, 288, 1297, 540, 824, 30596, 616, 4867, 6721, 5521, 3940, 971, 607, 22208, 779, 29530, 670, 2255, 267, 799, 17838, 7594, 19095, 543, 741, 3653, 883, 1164, 17032, 5946, 267, 11041, 543, 5567, 585, 6683, 269, 5019, 1460, 568, 2324, 609, 3109, 17199, 8038, 16793, 1247, 595, 19897, 2290, 568, 6721, 513, 3276, 3455, 1273, 1399, 1500, 1152, 609, 25319, 3940, 543, 2371, 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 ]
[ 0, 2421, 15588, 7338, 454, 7212, 5640, 723, 4857, 519, 25608, 2549, 754, 906, 607, 513, 25863, 540, 519, 20924, 540, 519, 3312, 9139, 267, 621, 781, 1271, 547, 1174, 267, 607, 13915, 1705, 693, 519, 942, 267, 602, 519, 476, 1691, 628, 543, 476, 1428, 628, 2549, 754, 906, 2451, 1082, 10616, 538, 519, 1977, 9111, 563, 306, 21788, 4753, 281, 634, 1715, 3840, 8648, 454, 2421, 8361, 8402, 27176, 12789, 563, 3080, 4627, 543, 15823, 1296, 3516, 267, 19291, 30463, 6956, 519, 3095, 1063, 13359, 2924, 543, 812, 3125, 585, 3979, 31787, 563, 268, 12339, 24452, 2052, 1405, 22695, 648, 519, 5295, 540, 20351, 15213, 454, 268, 11572, 26831, 4787, 665, 31673, 281, 834, 1805, 641, 519, 6008, 531, 257, 568, 5450, 777, 1817, 585, 6519, 1763, 550, 618, 454, 268, 5794, 16818, 321, 5903, 902, 26257, 8865, 540, 2558, 20190, 1944, 267, 20497, 1944, 32013, 16410, 1231, 454, 268, 5020, 29941, 585, 1488, 25053, 781, 23703, 619, 23875, 547, 18270, 622, 454, 268, 25840, 21890, 514, 4477, 6244, 4436, 14992, 31674, 13303, 25103, 269, 4208, 6496, 513, 6014, 7467, 27254, 13924, 286, 0, 16920, 3363, 1107, 4584, 513, 1434, 835, 454, 9336, 1554, 596, 1118, 5079, 269, 5900, 3363, 568, 513, 3903, 269, 1677, 948, 707, 1126, 1020, 513, 2318, 14820, 789, 991, 2318, 19015, 563, 7312, 1126, 2115, 547, 917, 741, 9342, 543, 602, 789, 666, 1020, 1022, 5578, 789, 2322, 741, 2247, 547, 563, 2691, 596, 1294, 707, 1126, 1373, 5363, 1510, 873, 6998, 267, 1577, 873, 917, 602, 596, 723, 8068, 563, 21886, 5971, 707, 1126, 676, 10213, 873, 540, 519, 2318, 1915, 7592, 596, 1294, 538, 873, 607, 596, 1294, 873, 563, 7312, 3661, 538, 741, 2702, 547, 7753, 1022, 4305, 610, 4161, 4422, 513, 1279, 1259, 2509, 873, 2921, 519, 2556, 2962, 563, 24552, 5000, 610, 25339, 454, 24552, 723, 513, 7372, 1764, 602, 3762, 606, 12705, 2429, 741, 3003, 1272, 269, 1280, 519, 19160, 540, 707, 1126, 779, 2104, 2790, 1072, 267, 596, 1590, 946, 1913, 547, 5000, 707, 1126, 563, 763, 1913, 596, 2161, 547, 707, 1126, 1764, 741, 14820, 269, 1358, 3251, 538, 741, 2212, 543, 789, 3136, 547, 10956, 1346, 1913, 547, 2933, 269, 5269, 873, 2318, 256, 1306, 513, 2101, 1909, 2203, 538, 741, 1272, 581, 13533, 540, 1018, 596, 2161, 543, 875, 596, 2161, 621, 563, 14399, 2648, 547, 5225, 865, 950, 596, 6085, 593, 1018, 596, 1294, 543, 616, 2693, 547, 10956, 621, 269, 5272, 1480, 1373, 1281, 269, 1924, 17192, 2476, 269, 634, 1034, 2500, 1259, 568, 547, 2446, 519, 2318, 7180, 596, 1294, 950, 596, 1294, 873, 10268, 269, 901, 13976, 741, 1582, 12635, 607, 1134, 607, 741, 1582, 18221, 563, 763, 1382, 20147, 602, 2947, 2318, 1913, 6829, 29387, 1142, 2942, 2262, 269, 1924, 713, 1797, 6031, 2947, 2318, 1919, 585, 1142, 2942, 4082, 602, 596, 2671, 269, 1306, 513, 2385, 267, 621, 568, 707, 5539, 547, 1451, 1018, 2318, 1913, 786, 5391, 4733, 707, 1126, 563, 1692, 1419, 798, 596, 5873, 1004, 3717, 11874, 547, 513, 1126, 286, 9293, 971, 607, 2048, 17380, 1373, 29749, 8730, 2048, 18484, 1406, 581, 29749, 8730, 2048, 9767, 2461, 865, 562, 2795, 1399, 8730, 2048, 9767, 2461, 606, 7329, 3999, 8730, 2048, 9767, 2461, 24631, 685, 543, 865, 1454, 811, 616, 1360, 14124, 269, 3502, 547, 2446, 11991, 269, 898, 9397, 1250, 2295, 1169, 942, 594, 4862, 2576, 2161, 713, 547, 741, 1126, 1317, 594, 917, 621, 568, 8840, 513, 4062, 540, 519, 1126, 779, 2295, 543, 6028, 513, 9434, 267, 2942, 267, 12705, 593, 873, 563, 17730, 513, 2208, 14820, 454, 1432, 568, 513, 2208, 14820, 286, 898, 779, 513, 3661, 602, 707, 2247, 666, 1332, 543, 1020, 269, 23875, 568, 7543, 269, 1411, 666, 1451, 4376, 596, 1616, 547, 269, 1306, 513, 1126, 779, 3119, 1909, 2203, 267, 596, 666, 1397, 707, 1126, 602, 596, 1932, 616, 1565, 7683, 269, 5020, 568, 782, 827, 1565, 563, 288, 2208, 14820, 568, 6587, 513, 6378, 14820, 269, 589, 6378, 14820, 1797, 596, 723, 930, 6378, 2093, 799, 596, 3494, 547, 581, 3020, 543, 602, 972, 568, 1100, 824, 4781, 269, 21894, 596, 2161, 267, 610, 3661, 568, 3020, 267, 2394, 596, 29311, 621, 3884, 1406, 563, 26807, 1913, 267, 1767, 1419, 267, 616, 1128, 2683, 538, 519, 2247, 269, 1924, 267, 1118, 1346, 1913, 2318, 269, 1975, 7505, 1913, 547, 596, 676, 1866, 607, 513, 1126, 616, 1419, 556, 2452, 539, 538, 707, 2212, 607, 606, 2937, 269, 1879, 596, 1745, 1524, 594, 3580, 10018, 621, 568, 519, 2942, 1913, 602, 930, 1909, 2203, 267, 693, 930, 3942, 267, 1767, 547, 596, 563, 2005, 568, 707, 5539, 267, 607, 606, 2937, 267, 547, 1397, 1453, 1018, 606, 2937, 5654, 899, 269, 5753, 798, 711, 21028, 602, 4079, 543, 1969, 532, 899, 606, 2937, 1522, 581, 1079, 1114, 1919, 563, 16908, 779, 9157, 3006, 269, 15526, 814, 741, 2591, 543, 519, 4161, 18864, 2115, 267, 610, 6499, 267, 616, 2942, 4555, 827, 6000, 269, 2311, 930, 3942, 267, 18825, 602, 596, 6743, 909, 547, 267, 1767, 1945, 2942, 547, 596, 267, 1256, 1498, 789, 6068, 596, 543, 596, 917, 789, 2648, 596, 269, 1306, 606, 2937, 267, 596, 3314, 945, 596, 6743, 909, 547, 267, 945, 707, 19463, 3610, 941, 269, 1411, 849, 3314, 4079, 596, 4769, 1406, 899, 1107, 1831, 513, 19463, 585, 519, 1453, 538, 707, 1272, 563, 2791, 949, 849, 899, 547, 1224, 281, 0, 29409, 656, 7345, 31052, 542, 454, 298, 333, 2074, 540, 8534, 454, 763, 13322, 1029, 6905, 519, 661, 2006, 322, 11692, 1160, 17474, 543, 1500, 621, 513, 851, 540, 519, 9139, 563, 290, 712, 1206, 538, 11908, 267, 3345, 10491, 267, 543, 17906, 12199, 602, 2671, 23145, 13827, 262, 7031, 20705, 547, 519, 2244, 8227, 267, 2921, 2476, 519, 6705, 262, 13322, 1029, 563, 7922, 2931, 4718, 13322, 1029, 607, 513, 1797, 547, 2744, 513, 1732, 2816, 543, 581, 2111, 547, 1224, 519, 6426, 563, 1103, 930, 2665, 267, 811, 9316, 1063, 8152, 27512, 543, 24726, 8719, 13322, 1029, 1310, 519, 6406, 2782, 563, 5278, 17051, 8359, 547, 1831, 13322, 1029, 1317, 621, 5795, 873, 930, 1852, 936, 741, 3232, 960, 2729, 267, 1247, 1866, 941, 7142, 547, 1317, 540, 513, 3668, 540, 2244, 543, 824, 960, 3681, 563, 297, 28427, 1654, 1729, 539, 513, 3915, 547, 8831, 519, 13322, 1029, 585, 513, 1032, 267, 855, 6837, 936, 549, 1372, 1010, 1654, 1729, 563, 763, 13322, 1029, 3769, 536, 753, 593, 954, 24055, 7365, 543, 17051, 262, 1569, 547, 519, 16324, 1062, 563, 1103, 476, 5908, 276, 267, 519, 11200, 532, 12416, 540, 519, 13322, 1029, 3366, 3043, 590, 719, 615, 2996, 547, 5855, 602, 513, 2147, 32574, 1522, 2049, 538, 519, 2136, 2276, 952, 789, 1705, 711, 2744, 811, 1852, 936, 519, 15685, 1004, 563, 763, 13322, 1029, 3177, 476, 8182, 14143, 540, 1863, 2244, 538, 519, 4639, 547, 4896, 945, 1500, 9283, 593, 621, 585, 2947, 1296, 563, 18131, 781, 27049, 15156, 941, 856, 571, 3022, 1317, 519, 13322, 1029, 1705, 711, 9886, 519, 8917, 547, 2021, 563, 15987, 621, 11292, 17051, 543, 2067, 1242, 15114, 267, 519, 13322, 1029, 1705, 711, 26246, 1808, 2924, 563, 1805, 686, 7719, 543, 3906, 676, 4006, 4600, 936, 519, 2175, 543, 2474, 540, 741, 7694, 1305, 519, 3942, 585, 6626, 12180, 676, 519, 13322, 1029, 563, 8196, 21741, 547, 6330, 998, 519, 16181, 454, 8196, 29196, 1341, 21741, 547, 6330, 909, 998, 519, 16181, 454, 18208, 9373, 547, 946, 519, 7735, 454, 18208, 9373, 547, 2824, 606, 6221, 547, 581, 6410, 543, 547, 4283, 519, 2796, 10624, 454, 18208, 9373, 547, 1847, 519, 5697, 6221, 547, 519, 6749, 29773, 602, 568, 5059, 0, 2171, 782, 917, 519, 1455, 1310, 13716, 338, 540, 513, 3781, 540, 4430, 4568, 269, 1411, 786, 711, 8209, 1745, 4568, 779, 1764, 593, 707, 1560, 1318, 2476, 267, 855, 621, 6238, 689, 519, 4090, 596, 1491, 602, 1101, 521, 760, 269, 25530, 1022, 2179, 267, 540, 1022, 2186, 540, 4568, 267, 666, 5732, 1291, 547, 13311, 1072, 4539, 563, 2304, 6059, 476, 4817, 267, 1822, 1004, 630, 32191, 476, 6924, 267, 1822, 2367, 543, 476, 2767, 267, 1822, 2021, 264, 5884, 689, 4568, 5829, 3123, 12422, 267, 609, 811, 982, 3368, 540, 1346, 7972, 1813, 547, 1072, 2360, 899, 2295, 610, 6797, 2068, 689, 6704, 1932, 1454, 936, 942, 563, 6624, 1004, 1745, 856, 540, 1445, 610, 27967, 1310, 6704, 267, 930, 29153, 540, 513, 968, 342, 710, 15677, 1848, 29879, 568, 1419, 20295, 607, 519, 1034, 1455, 4235, 547, 28596, 513, 15677, 269, 901, 666, 581, 3361, 676, 4568, 8920, 908, 519, 1973, 8043, 538, 707, 2634, 269, 4414, 9174, 814, 1279, 1044, 1634, 607, 513, 26043, 9594, 267, 7654, 1317, 18812, 32675, 2270, 1277, 8533, 543, 2030, 6464, 1572, 512, 2335, 1231, 269, 6519, 9174, 568, 1500, 1510, 18812, 32675, 267, 4352, 267, 899, 2699, 9174, 621, 1281, 2270, 9829, 2572, 799, 666, 2014, 824, 6547, 538, 519, 1560, 563, 18600, 12264, 6340, 267, 4568, 568, 1031, 538, 922, 6986, 560, 1106, 585, 21149, 532, 269, 898, 1568, 1317, 540, 922, 2702, 547, 6146, 17973, 676, 27200, 741, 1591, 17011, 269, 898, 814, 519, 1482, 1764, 593, 938, 1378, 2281, 269, 1306, 513, 1267, 540, 519, 10408, 3441, 267, 621, 3217, 942, 585, 938, 4703, 547, 12115, 543, 7816, 519, 3441, 269, 15742, 8324, 543, 6886, 616, 1898, 585, 602, 1065, 541, 894, 1184, 269, 3371, 568, 1018, 4568, 1281, 547, 707, 1560, 912, 268, 11020, 281, 15850, 25815, 1524, 519, 6464, 543, 11444, 707, 2634, 3096, 547, 1852, 707, 1560, 267, 19249, 7099, 267, 23646, 1524, 16846, 525, 543, 7133, 3666, 269, 898, 849, 666, 3565, 547, 1565, 267, 3965, 267, 543, 3207, 2042, 563, 268, 9839, 281, 15850, 4679, 707, 2295, 2557, 543, 21040, 707, 1973, 8043, 267, 1818, 811, 1973, 2095, 547, 519, 2960, 630, 6518, 3123, 596, 547, 1745, 3636, 1070, 2705, 267, 713, 3002, 10596, 856, 998, 519, 2960, 267, 4929, 1560, 2837, 547, 2887, 1310, 621, 814, 24111, 563, 268, 6226, 24304, 281, 15850, 568, 1101, 7745, 1524, 538, 519, 7181, 267, 5009, 606, 2333, 538, 9667, 23238, 269, 15850, 849, 8886, 919, 519, 1507, 16892, 543, 3935, 1141, 621, 568, 2417, 7745, 1524, 543, 12842, 267, 543, 621, 849, 666, 1860, 519, 3339, 3432, 602, 1426, 7575, 998, 873, 267, 799, 949, 1267, 538, 14159, 1928, 267, 26533, 267, 543, 13165, 563, 268, 26640, 281, 15850, 1743, 625, 856, 630, 328, 4318, 1421, 13204, 6233, 264, 519, 1560, 267, 799, 666, 1860, 519, 14401, 543, 519, 1560, 779, 2702, 547, 10038, 5714, 543, 32690, 269, 898, 849, 7519, 338, 10399, 602, 1860, 8459, 1599, 563, 268, 20506, 281, 15850, 1765, 2865, 540, 621, 267, 538, 1249, 28934, 8311, 1242, 538, 519, 6797, 267, 799, 12086, 21883, 1973, 543, 18788, 543, 30001, 6757, 6878, 267, 1519, 4568, 269, 634, 6797, 666, 6023, 513, 1978, 2179, 540, 4568, 267, 855, 607, 513, 1268, 5170, 547, 4235, 267, 621, 666, 1831, 14129, 547, 519, 1448, 540, 4929, 8628, 3441, 563, 2704, 4022, 568, 519, 6654, 27521, 3297, 513, 23487, 539, 13793, 1478, 269, 898, 568, 513, 1019, 675, 6776, 609, 13204, 7992, 2360, 269, 11906, 338, 1572, 21165, 619, 666, 849, 2014, 811, 7920, 13793, 13569, 269, 1452, 616, 3114, 676, 1790, 20094, 540, 519, 18829, 1184, 602, 3947, 23931, 10425, 741, 10058, 8137, 269, 5556, 22211, 616, 1336, 538, 2362, 9830, 538, 18632, 10425, 267, 971, 607, 536, 712, 2548, 22090, 4486, 543, 2699, 9174, 269, 634, 2312, 267, 2681, 1652, 4508, 832, 971, 607, 642, 617, 6390, 543, 575, 514, 2014, 1447, 540, 513, 1966, 563, 763, 27676, 2589, 540, 513, 13793, 1478, 666, 2063, 585, 3108, 1510, 1697, 2126, 267, 1519, 18024, 267, 15353, 267, 2634, 20893, 267, 15677, 267, 13347, 7181, 267, 9854, 267, 543, 4887, 31191, 269, 670, 836, 13569, 616, 3361, 267, 538, 1840, 547, 18024, 267, 689, 8770, 22930, 689, 4568, 4616, 563, 26807, 1004, 811, 12155, 547, 13793, 13569, 282, 7209, 267, 11976, 267, 1072, 267, 2085, 267, 4008, 267, 543, 824, 2404, 5615, 949, 2333, 707, 1981, 269, 634, 11144, 543, 10335, 540, 2589, 936, 942, 666, 4268, 689, 835, 1268, 547, 519, 1985, 269, 634, 2360, 540, 4568, 666, 2039, 689, 7646, 267, 547, 811, 4049, 2589, 971, 607, 8429, 856, 610, 13481, 269, 634, 1739, 1554 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 656, 27150, 630, 629, 7538, 269, 769, 2663, 2090, 519, 8108, 540, 6688, 540, 2589, 8604, 2556, 607, 13745, 609, 519, 5007, 2589, 616, 4835, 2589, 971, 607, 2960, 5563, 269, 9552, 540, 14264, 514, 269, 476, 1220, 274, 269, 476, 16348, 268, 28670, 1040, 6797, 3441, 269, 634, 10372, 1500, 676, 17172, 6048, 547, 30387, 519, 2589, 540, 2960, 6926, 2286, 9090, 8711, 519, 3017, 538, 519, 2360, 540, 2960, 6926, 2286, 607, 4586, 763, 4930, 12649, 9090, 1683, 519, 1857, 609, 2489, 1239, 538, 14621, 547, 519, 2360, 269, 1547, 476, 1220, 276, 1040, 763, 16164, 28563, 2286, 15540, 519, 4835, 2360, 1419, 4163, 513, 3677, 1764, 593, 519, 1367, 779, 1072, 607, 3379, 547, 519, 5007, 2589, 630, 2690, 516, 3122, 269, 634, 1198, 540, 519, 4835, 2589, 568, 4061, 606, 1858, 799, 568, 538, 991, 540, 811, 9488, 1382, 269, 855, 22394, 569, 6257, 519, 3123, 543, 1018, 6464, 689, 519, 1114, 1212, 4461, 666, 581, 11911, 547, 513, 1808, 4835, 10835, 563, 1960, 274, 1040, 1261, 5206, 602, 23658, 30743, 666, 581, 9228, 607, 2942, 1813, 547, 741, 2470, 540, 9880, 547, 519, 8789, 6848, 3044, 7868, 16164, 28563, 2286, 15540, 1548, 568, 519, 2078, 1063, 6926, 2286, 543, 519, 1585, 20299, 4618, 1016, 2275, 30743, 286, 769, 15257, 269, 513, 23658, 11857, 568, 513, 1895, 540, 1004, 609, 513, 2528, 630, 31347, 3982, 610, 6456, 264, 799, 1114, 28179, 873, 689, 519, 3677, 2528, 547, 799, 789, 4866, 630, 297, 27889, 3205, 269, 769, 2413, 25706, 972, 616, 1585, 1016, 2275, 30743, 269, 19933, 327, 718, 8535, 681, 8775, 645, 342, 1195, 270, 4537, 27198, 26260, 582, 10361, 4787, 320, 645, 1782, 645, 1782, 610, 670, 4286, 772, 696, 1144, 717, 2867, 1729, 270, 1103, 1676, 4975, 14640, 4149, 3469, 10263, 16962, 779, 4214, 540, 513, 1016, 2275, 11857, 2047, 6257, 519, 1657, 5018, 1016, 2275, 30743, 1336, 538, 25706, 269, 2201, 713, 4493, 519, 1016, 2275, 30743, 4857, 616, 2047, 2404, 609, 2942, 9880, 799, 2417, 6770, 14496, 543, 23058, 12040, 540, 16962, 779, 1893, 568, 1010, 4214, 269, 769, 1010, 476, 3192, 280, 1433, 4427, 322, 11857, 519, 12791, 540, 13910, 269, 16299, 1261, 321, 323, 15607, 11130, 602, 513, 23658, 11857, 568, 513, 1016, 268, 11437, 547, 3339, 1097, 269, 4329, 1382, 19250, 2404, 1004, 945, 6926, 3737, 741, 2960, 609, 519, 4857, 1016, 2275, 30743, 1813, 547, 519, 1164, 4908, 540, 2043, 945, 616, 2818, 540, 519, 3957, 1547, 891, 949, 2408, 538, 519, 1106, 540, 269, 19795, 543, 2686, 2090, 269, 1261, 321, 323, 15607, 11130, 602, 23658, 30743, 3142, 1927, 899, 16490, 2043, 945, 1745, 20495, 676, 6848, 4441, 543, 1450, 873, 547, 1020, 513, 2631, 540, 3961, 630, 3891, 321, 323, 15607, 269, 476, 3192, 280, 1916, 3192, 280, 1040, 6431, 6758, 532, 327, 538, 1010, 2376, 968, 289, 548, 2286, 568, 9800, 543, 1134, 538, 13566, 25706, 892, 2306, 4704, 547, 513, 2442, 12353, 7544, 968, 27879, 320, 10426, 320, 892, 543, 2303, 952, 596, 1491, 513, 3802, 1524, 883, 519, 575, 2867, 1729, 968, 9767, 786, 1294, 6690, 269, 7788, 2142, 18860, 568, 519, 2101, 3815, 3297, 8159, 3283, 3961, 538, 2474, 540, 945, 649, 616, 610, 945, 1223, 581, 630, 6826, 18860, 269, 741, 8188, 4988, 609, 513, 3043, 8645, 1668, 1176, 6926, 2286, 892, 630, 25324, 6758, 532, 327, 269, 476, 1220, 277, 1040, 8754, 8451, 519, 3510, 540, 6926, 2286, 269, 3220, 269, 1677, 2417, 11168, 6431, 6758, 532, 327, 1382, 269, 6431, 6758, 532, 327, 9797, 12211, 6926, 2286, 547, 513, 18678, 1016, 2275, 11857, 968, 763, 717, 2867, 1729, 6100, 901, 16663, 5693, 9727, 602, 3109, 1004, 20369, 3832, 729, 10032, 689, 519, 2395, 540, 8474, 269, 22337, 660, 1144, 269, 1141, 646, 711, 1152, 2404, 6926, 2286, 547, 1776, 23658, 11857, 968, 308, 696, 1144, 6100, 476, 1220, 280, 1040, 1141, 519, 3109, 812, 2219, 540, 5128, 607, 17071, 547, 602, 540, 519, 14402, 2960, 2740, 5256, 11721, 24580, 7868, 16164, 28563, 2286, 15540, 23658, 30743, 269, 634, 6280, 729, 5483, 676, 5256, 543, 4775, 6926, 18291, 602, 6926, 2286, 729, 513, 1547, 2142, 18860, 5941, 519, 1198, 540, 16663, 543, 11329, 856, 602, 834, 1721, 1346, 945, 616, 13998, 588, 25634, 1242, 676, 5198, 269, 14880, 13879, 945, 1705, 513, 5619, 543, 4080, 519, 4681, 538, 1010, 1433, 11331, 772, 696, 1144, 5288, 269, 7544, 327, 718, 2575, 543, 2960, 6926, 2286, 269, 3220, 269, 4984, 610, 22634, 2686, 14868, 540, 741, 1378, 17071, 640, 949, 581, 4835, 1242, 269, 901, 538, 922, 1198, 2813, 606, 19261, 1063, 14797, 1701, 901, 7389, 1394, 547, 519, 2395, 540, 8474, 269, 19933, 327, 718, 2575, 2221, 538, 922, 1378, 1106, 14550, 6386, 540, 519, 6848, 11807, 2960, 3159, 998, 519, 18405, 6829, 676, 2442, 7376, 630, 25324, 6758, 532, 327, 269, 853, 7950, 607, 4330, 676, 3220, 269, 855, 849, 7150, 602, 6926, 2286, 15399, 1144, 568, 1572, 9522, 532, 630, 19365, 338, 269, 2290, 540, 519, 2101, 12205, 1063, 6926, 2286, 543, 1016, 2275, 30743, 666, 581, 6508, 689, 519, 2078, 1063, 16663, 269, 607, 1004, 540, 18632, 1950, 542, 1419, 12314, 3255, 607, 1373, 11911, 547, 519, 3043, 812, 269, 476, 1220, 280, 1040, 16593, 945, 15548, 538, 519, 476, 1960, 280, 8470, 4901, 968, 299, 8221, 519, 2960, 596, 616, 538, 892, 12211, 1514, 9840, 676, 8470, 626, 538, 1200, 1433, 968, 1103, 3534, 1019, 7544, 327, 718, 6100, 3220, 269, 713, 568, 2705, 4334, 539, 676, 3220, 563, 2414, 6461, 6510, 713, 23350, 269, 2442, 632, 324, 329, 599, 11370, 9857, 645, 656, 517, 538, 568, 5152, 799, 2829, 968, 300, 328, 2648, 803, 1286, 11465, 2648, 11465, 11332, 11465, 2648, 803, 2724, 543, 3364, 855, 1034, 540, 782, 11465, 2648, 536, 20621, 892, 10423, 569, 14550, 602, 519, 1287, 7608, 2960, 3159, 729, 536, 20621, 269, 476, 1220, 277, 1040, 1018, 1131, 581, 741, 4128, 585, 6926, 2286, 286, 769, 713, 2631, 6926, 2286, 568, 19951, 811, 4122, 1644, 547, 519, 1025, 532, 1532, 1782, 269, 782, 723, 1500, 5140, 7418, 2509, 10747, 519, 2078, 1063, 6926, 2286, 543, 519, 1585, 1016, 2275, 30743, 269, 538, 519, 476, 1960, 271, 779, 269, 519, 11001, 779, 8959, 547, 2697, 519, 1249, 602, 6926, 2286, 538, 25706, 568, 1100, 4122, 811, 540, 513, 7678, 344, 3390, 899, 27325, 338, 543, 824, 6752, 6898, 1500, 676, 1004, 540, 519, 1657, 5018, 1016, 2275, 30743, 269, 24930, 543, 824, 3173, 269, 519, 2078, 1063, 6926, 2286, 543, 1016, 2275, 30743, 568, 9797, 1644, 2495, 607, 835, 4679, 621, 568, 2693, 602, 824, 786, 2333, 607, 1134, 269, 1717, 269, 1728, 701, 269, 28518, 519, 1657, 5018, 1382, 2944, 676, 519, 1114, 32536, 6048, 269, 476, 1220, 277, 1040, 898, 568, 10423, 602, 1813, 547, 519, 1390, 7274, 540, 20299, 15092, 945, 616, 865, 1572, 2404, 609, 513, 1880, 1016, 2275, 11857, 269, 2701, 2417, 12211, 519, 2856, 540, 835, 4807, 945, 729, 18617, 602, 519, 14402, 707, 1950, 542, 519, 811, 3007, 596, 1205, 543, 513, 5256, 945, 2024, 539, 602, 6926, 2286, 729, 513, 1259, 856, 540, 519, 575, 2867, 1729, 1317, 1004, 1152, 1294, 596, 950, 596, 616, 6960, 630, 28775, 269, 1547, 4550, 1606, 3469, 2623, 543, 575, 2867, 1729, 1016, 2275, 11857, 7868, 16164, 28563, 2286, 15540, 1797, 540, 3478, 6619, 538, 25706, 630, 28775, 269, 901, 666, 581, 9672, 676, 3168, 693, 6960, 1004, 945, 6926, 778, 563, 4517, 4319, 1063, 519, 2085, 1895, 476, 1626, 268, 736, 945, 6926, 778, 741, 2960, 269, 1453, 616, 3695, 741, 7115, 543, 3384, 513, 2631, 540, 1582, 269, 10020, 4762, 4288, 264, 799, 568, 2404, 609, 519, 2085, 1895, 476, 1626, 268, 1839, 2829, 269, 835, 1131, 723, 547, 1491, 1079, 5094, 1448, 540, 5784, 269, 945, 993, 594, 286, 1656, 1141, 993, 594, 2469, 286, 634, 15730, 568, 9241, 7255, 609, 875, 646, 610, 1352, 5526, 547, 1866, 269, 607, 23576, 538, 519, 9153, 540, 513, 4876, 630, 292, 686, 802, 517, 269, 10016, 699, 2998, 3961, 568, 519, 934, 29471, 6015, 602, 519, 9018, 7663, 8864, 543, 15364, 5423, 538, 519, 2104, 616, 20083, 676, 519, 7663, 8864, 543, 15364, 540, 835, 781, 2495, 585, 13951, 269, 1282, 18273, 269, 16723, 543, 8836, 269, 898, 568, 4061, 10423, 602, 689, 513, 1514, 5626, 1448, 540, 2070, 519, 12605, 540, 1480, 1646, 16881, 519, 4316, 540, 1004, 8026, 21274, 540, 7114, 2933, 609, 513, 1880, 1895, 543, 849, 14845, 741, 1909, 607, 547, 945, 789, 616, 269, 901, 3069, 11394, 547, 2491, 519, 11342, 21274, 540, 1053, 1063, 519, 2085, 1895, 476, 1626, 268, 1839, 6926, 778, 741, 2960, 1813, 547, 519, 1249, 7114, 741, 1909, 1762, 18273, 3801, 547, 12314, 2933, 609, 513, 1880, 1514, 1895, 610, 9263, 1895, 269, 476, 3422, 279, 1040, 476, 1220, 279, 1040, 8409, 945, 2611, 18516, 540, 741, 4978, 543, 13821, 786, 581, 538, 31261, 543, 11821, 827, 2933, 543, 519, 2104, 630, 310, 1228, 1299, 3004, 6665, 269, 12448, 286, 1677, 3313, 1946, 972, 568, 971, 513, 11342, 12402, 540, 1053, 538, 3751, 8725, 543, 853, 269, 661, 686, 802, 517, 2829, 602, 1762, 10708, 2307, 2933, 519, 2055, 269, 8409, 945, 4309, 1697, 19015, 543, 15699, 998, 2123, 3408, 786, 10836, 689, 713, 3942, 609, 513, 2178, 2631, 540, 1582, 543, 513, 4743, 540, 7115, 543, 1852, 7868, 16164, 28563, 2286, 15540, 4208, 568, 2960, 6926, 2286, 971, 513, 11342, 12402, 10838, 1053, 1063, 519, 2085, 1895, 476, 1626, 268, 1839, 538, 3751, 8725, 543, 853, 269, 4340, 547, 661, 20891, 661, 686, 802, 517, 5369, 22181, 4886, 3069, 3942, 476, 276, 630, 15275, 640, 5288, 269, 4586, 8138, 4211, 8590, 3871, 666, 581, 3989, 689, 519, 2070, 1448, 540, 1620, 602, 1053, 1451, 689, 741, 11937, 543, 952, 713, 3069, 814, 1044, 13736, 538, 3504, 25706, 269, 1452, 2592, 949, 581, 513, 4704, 547, 2168, 4641, 610, 538, 6476, 547, 824, 1004, 269, 476, 1220, 277, 1040, 1118, 16198, 1851, 2933, 269, 476, 1220, 278, 1040, 4658, 1413, 547, 519, 2592, 17814, 676, 1866, 547, 581, 3489, 762, 543, 10853, 269, 14080, 5424, 23352, 519, 3681, 540, 824, 4835, 2188, 799, 616, 2404, 609, 1004, 6492, 543, 7375, 269, 543, 13604, 269, 519, 2085, 1895, 476, 1626, 268, 1839, 5161, 8185, 540, 1053, 945, 616, 20916, 547, 12314, 2933, 547, 835, 540, 519, 1657, 3957, 1016, 2275, 11857, 630, 295, 684, 614, 269, 634, 1909, 540, 1016, 2275, 11857, 543, 610, 2245, 607, 9090, 1500, 2101, 7418, 2509, 8159, 519, 4128, 610, 2188, 602, 3142, 827, 713, 9860, 269, 634, 4317, 6476, 3069, 630, 293, 652, 5424, 269, 1287, 10423, 569, 519, 27402, 540, 513, 2528, 786, 581, 2067, 630, 28775, 7868, 16164, 28563, 2286, 15540, 901, 666, 849, 581, 6508, 689, 519, 1249, 602, 1034, 12322, 602, 2259, 2960, 6926, 2286, 616, 2604, 323, 676, 741, 9263, 1895, 269, 1866, 543, 519, 4998, 1242, 2592, 630, 293, 652, 5424, 269, 4329, 1646, 607, 2705, 1044, 5342, 538, 519, 2361, 540, 1514, 6530, 269, 30272, 519, 2078, 1063, 6926, 2286, 543, 519, 1585, 1016, 2275, 30743, 849, 20383, 519, 12402, 540, 6926, 2286, 609, 513, 1880, 2085, 1895, 2523, 538, 3751, 8725, 543, 853, 269, 12448, 269, 901, 4061, 607, 32606, 602, 621, 1547, 476, 4198, 275, 1040, 476, 4198, 275, 264, 568, 519, 2856, 602, 972, 568, 513, 5397, 1369, 2043, 547, 1413, 547, 3544, 2592, 538, 1931, 547, 6218, 741, 1378, 8369, 543, 5759, 269, 901, 538, 621, 2631, 849, 8309, 547, 519, 1164, 9860, 540, 2960, 6926, 2286, 1851, 21717, 1053, 538, 3751, 8725, 543, 853, 269, 18391, 693, 519, 2318, 2078, 540, 519, 1585, 1016, 2275, 30743, 543, 2960, 6926, 2286, 269, 12448, 607, 1480, 7919, 2523, 1762, 8951, 616, 1336, 547, 581, 1360, 6213, 827, 5898, 543, 5920, 547, 1866, 563, 4322, 11393, 723, 8507, 538, 513, 3099, 540, 14686, 2589, 971, 6797, 2068, 543, 723, 9090, 1044, 2404, 609, 1880, 23658, 30743, 269, 1358, 8604, 547, 581, 4413, 26455, 610, 18621, 550, 2509, 519, 7872, 540, 519, 11393, 269, 1547, 12448, 945, 3136, 547, 6926, 778, 741, 2960, 269, 634, 7934, 1063, 519, 4656, 540, 1346, 945, 616, 6926, 2286, 543, 1346, 945, 616, 711, 6926, 2286, 568, 3478, 9395, 2287, 543, 4166, 3025, 1058, 581, 3222, 540, 2409, 1031, 676, 17172, 6048, 585, 6225, 5301, 607 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3848, 476, 1015, 281, 6481, 543, 5983, 14750, 10241, 540, 5274, 14600, 13578, 7434, 5027, 630, 31198, 19091, 264, 623, 17222, 4094, 344, 692, 7072, 692, 300, 339, 19091, 2079, 814, 1831, 5051, 1271, 538, 1585, 4610, 267, 1519, 2551, 11976, 267, 2564, 11976, 267, 543, 18837, 2257, 269, 6736, 922, 7839, 946, 267, 972, 3788, 3908, 5872, 543, 1702, 4687, 1851, 891, 10459, 269, 769, 713, 3184, 267, 649, 786, 2263, 930, 1883, 3344, 540, 544, 339, 19091, 18105, 4094, 344, 4143, 547, 2564, 543, 18837, 11976, 267, 17935, 547, 8115, 713, 7934, 676, 10223, 519, 2956, 540, 6220, 12105, 3741, 883, 18837, 2259, 780, 8139, 544, 339, 19091, 623, 17222, 4094, 344, 692, 2414, 5660, 519, 4644, 540, 544, 339, 19091, 18105, 4094, 344, 267, 621, 781, 1898, 1101, 547, 1174, 1018, 544, 339, 19091, 568, 543, 875, 621, 15320, 689, 6046, 5027, 269, 9521, 6046, 5027, 267, 799, 5161, 540, 476, 5379, 15954, 15110, 3368, 689, 1142, 2385, 267, 544, 339, 19091, 568, 544, 15715, 958, 15110, 267, 8659, 1369, 519, 1648, 26148, 31759, 1572, 26503, 269, 634, 9764, 544, 339, 19091, 11140, 1958, 3941, 2629, 6090, 3238, 538, 19842, 8485, 800, 3175, 267, 543, 4719, 7648, 666, 1291, 547, 3676, 7133, 2789, 8219, 780, 303, 17222, 21925, 4054, 2099, 519, 3140, 3347, 1851, 1114, 688, 7120, 4885, 1765, 684, 1664, 10659, 540, 30859, 14726, 1336, 538, 1367, 25450, 269, 1452, 4054, 1683, 3407, 1344, 827, 519, 18577, 8129, 267, 9194, 3270, 267, 543, 4763, 540, 5095, 269, 5047, 267, 789, 5512, 721, 547, 10250, 519, 18472, 540, 1808, 544, 339, 19091, 1899, 1137, 998, 5481, 543, 2066, 13664, 4525, 269, 901, 2306, 544, 339, 19091, 513, 3532, 1907, 585, 4974, 1480, 1686, 543, 7114, 2043, 538, 2062, 985, 923, 780, 18204, 7992, 12472, 776, 16610, 883, 5983, 14750, 13705, 710, 692, 28885, 12105, 5380, 883, 18837, 11976, 2337, 2087, 10763, 2853, 543, 7664, 4441, 269, 1280, 3236, 267, 19825, 519, 2067, 8390, 538, 15817, 3928, 6087, 811, 4977, 10526, 540, 6474, 17831, 269, 5015, 267, 8051, 585, 5444, 11530, 673, 3347, 1851, 544, 339, 19091, 9696, 10597, 519, 10727, 540, 18837, 1541, 5874, 269, 1635, 9301, 519, 2518, 3892, 540, 1978, 688, 7120, 4885, 267, 18837, 9439, 666, 2057, 31495, 13133, 725, 1759, 9003, 593, 2199, 4704, 14449, 780, 300, 16615, 15580, 670, 2678, 23189, 543, 13379, 540, 15845, 692, 300, 339, 19091, 15817, 3928, 4268, 3648, 4470, 593, 519, 3148, 2808, 267, 8151, 689, 3810, 24721, 3940, 2275, 5317, 6090, 547, 6385, 9687, 1852, 4525, 269, 4197, 6237, 3604, 538, 15817, 3928, 2636, 3744, 547, 4612, 7636, 1239, 14013, 950, 21501, 942, 2094, 27754, 610, 10442, 13292, 1063, 20402, 5439, 543, 1634, 8100, 269, 898, 568, 2565, 547, 2015, 713, 2460, 950, 8159, 519, 4222, 540, 2963, 3177, 676, 544, 339, 19091, 16198, 780, 20685, 5371, 10500, 8270, 725, 540, 544, 339, 19091, 4515, 3796, 692, 7212, 544, 339, 19091, 3112, 7866, 606, 1367, 781, 5198, 610, 6803, 4282, 598, 13254, 267, 1880, 688, 680, 690, 12952, 8858, 2362, 12451, 538, 1808, 5095, 1813, 547, 3838, 22693, 269, 4935, 267, 1247, 26471, 5730, 2802, 7224, 268, 613, 7240, 10297, 547, 544, 339, 19091, 12632, 1058, 581, 14284, 267, 14344, 2489, 3270, 666, 5351, 22602, 538, 32560, 1524, 1761, 2959, 540, 6211, 2963, 269, 1717, 267, 13657, 1590, 581, 27361, 1317, 9645, 16937, 6818, 1851, 5095, 267, 12145, 519, 10626, 540, 544, 339, 19091, 585, 5386, 8397, 22693, 16759, 780, 6781, 2224, 540, 13129, 13096, 629, 1162, 692, 20288, 14750, 22475, 7048, 8185, 593, 4704, 12240, 5627, 544, 339, 19091, 12632, 689, 3309, 2518, 5095, 269, 2755, 891, 2200, 7520, 8446, 3646, 267, 5683, 4145, 8451, 3823, 7834, 4027, 267, 5483, 9844, 267, 543, 12581, 6041, 269, 23496, 11826, 2298, 1852, 3800, 267, 12001, 8989, 5773, 267, 543, 3743, 6538, 2359, 3587, 14063, 547, 2061, 18977, 1569, 267, 7130, 267, 610, 14226, 780, 290, 5317, 16323, 7352, 566, 538, 513, 5983, 14750, 12745, 692, 7197, 18837, 3156, 723, 12926, 5059, 593, 5409, 19702, 762, 4525, 594, 543, 4083, 630, 295, 309, 6020, 543, 22671, 305, 2862, 1070, 4092, 538, 519, 1875, 2275, 5317, 1852, 3148, 540, 519, 544, 339, 19091, 11646, 269, 1717, 267, 9750, 9382, 547, 7854, 519, 3003, 8193, 3148, 2488, 2799, 25641, 1379, 543, 8476, 6571, 585, 23243, 5702, 1644, 9696, 269, 3958, 267, 6313, 3940, 2275, 5317, 6090, 3091, 4030, 883, 6198, 4539, 2404, 609, 1808, 544, 339, 19091, 14726, 267, 5732, 16046, 23633, 27586, 547, 2068, 4307, 8040, 538, 2564, 11976, 1382, 780, 6962, 692, 18698, 519, 8818, 1063, 544, 339, 19091, 18105, 4094, 344, 267, 2564, 11976, 267, 543, 18837, 9443, 8761, 3875, 3255, 585, 5698, 543, 3444, 16162, 9918, 1565, 269, 22716, 1944, 519, 5610, 540, 12105, 2035, 883, 18837, 13467, 10607, 10763, 8856, 267, 8992, 1655, 2853, 267, 543, 7512, 3743, 19642, 540, 4704, 12240, 269, 1306, 938, 1620, 540, 544, 339, 19091, 5170, 547, 4228, 267, 865, 1932, 786, 922, 31675, 538, 5466, 1950, 2055, 693, 519, 10167, 540, 19795, 267, 4915, 267, 543, 7803, 7634, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 1480, 24197, 5027, 630, 31198, 19091, 264, 11646, 568, 4122, 9916, 538, 1585, 10459, 267, 971, 607, 2551, 267, 2564, 267, 543, 18837, 11976, 267, 855, 12497, 543, 3621, 5385, 1063, 873, 568, 1869, 3908, 269, 3371, 649, 2689, 1896, 3344, 540, 519, 544, 339, 19091, 18105, 4094, 344, 602, 616, 3226, 734, 8117, 711, 14311, 734, 1993, 1719, 547, 519, 18837, 2146, 269, 7324, 519, 2152, 602, 8451, 267, 649, 11168, 519, 2956, 540, 10128, 12105, 2035, 883, 519, 18837, 6296, 269, 1284, 849, 1865, 3584, 971, 607, 544, 339, 19091, 15817, 268, 3433, 30846, 543, 519, 2597, 540, 2963, 267, 6803, 28930, 725, 540, 544, 339, 19091, 12632, 267, 543, 519, 6057, 540, 4704, 12240, 269, 7053, 267, 649, 1397, 519, 28252, 540, 8193, 15696, 542, 8390, 538, 513, 18837, 2796, 1701, 780, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 631, 19075, 1315, 21834, 1315, 5983, 14750, 21834, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 938, 18181, 6092, 256, 4653, 649, 3513, 2263, 835, 540, 519, 1034, 8949, 543, 2442, 14254, 8286, 910, 2372, 7865, 31240, 9627, 269, 1411, 1522, 4898, 1018, 844, 7865, 568, 286, 4270, 267, 4952, 513, 29902, 2650, 4904, 609, 27598, 8169, 731, 543, 11353, 540, 26345, 28019, 269, 16319, 1434, 267, 1318, 26834, 2913, 781, 4685, 883, 1818, 713, 17705, 1521, 1927, 780, 5575, 1919, 1101, 1107, 1577, 781, 2911, 827, 5820, 269, 1677, 1118, 513, 2372, 7865, 31240, 9627, 267, 596, 991, 912, 268, 589, 840, 13402, 2650, 12933, 630, 528, 1745, 1863, 547, 1118, 707, 1378, 952, 596, 1616, 26695, 268, 476, 277, 1804, 5798, 454, 268, 476, 272, 7484, 5230, 8645, 610, 5144, 630, 920, 600, 2306, 621, 3063, 3638, 994, 268, 476, 272, 270, 273, 23188, 6070, 454, 268, 476, 272, 270, 275, 23188, 3109, 14723, 454, 268, 476, 272, 7484, 1989, 730, 18230, 610, 524, 1117, 323, 541, 10381, 454, 268, 476, 279, 21100, 540, 11273, 28019, 267, 22872, 610, 1835, 14217, 692, 3086, 602, 649, 917, 1018, 649, 991, 267, 1934, 2501, 519, 1187, 851, 1107, 5986, 256, 7427, 891, 3268, 1384, 3721, 476, 272, 281, 2776, 17742, 707, 14089, 547, 476, 23841, 13790, 630, 5002, 9180, 1040, 2755, 7996, 267, 5965, 707, 2250, 787, 7387, 676, 533, 4459, 532, 621, 782, 936, 609, 513, 23643, 269, 901, 1900, 2337, 2061, 2011, 22836, 1247, 11256, 269, 9255, 519, 2250, 787, 7387, 593, 513, 11256, 6656, 543, 1305, 11735, 780, 3721, 476, 273, 281, 5384, 547, 31953, 1346, 5798, 256, 15434, 1188, 873, 883, 513, 2462, 12826, 267, 1287, 1039, 519, 5230, 8645, 630, 528, 5144, 1070, 6070, 267, 543, 14723, 269, 1733, 7416, 3388, 1927, 2394, 1134, 5916, 269, 3143, 19048, 952, 972, 616, 930, 6263, 18616, 282, 789, 2811, 9985, 5386, 2439, 3721, 476, 274, 281, 14109, 30257, 3368, 540, 519, 10381, 14961, 5196, 519, 5377, 540, 519, 2250, 787, 7387, 269, 3973, 14649, 707, 5863, 28019, 4773, 936, 519, 1283, 269, 5213, 1405, 7340, 547, 4688, 930, 28019, 585, 21959, 5109, 2663, 2439, 3721, 476, 275, 281, 20405, 569, 13248, 519, 4212, 344, 7848, 883, 519, 2250, 787, 7387, 269, 5269, 2386, 547, 15814, 621, 14961, 865, 1169, 11116, 814, 29380, 344, 22556, 543, 536, 659, 3415, 17486, 780, 3721, 476, 276, 281, 5440, 1055, 707, 20100, 609, 519, 6967, 10381, 269, 1656, 3314, 602, 10710, 28019, 286, 3767, 781, 519, 942, 547, 1747, 621, 1148, 2685, 593, 1283, 585, 3773, 9029, 780, 3721, 476, 277, 281, 28392, 4483, 519, 11256, 6656, 8066, 707, 4190, 844, 7865, 5137, 883, 519, 840, 515, 730, 14089, 269, 645, 820, 585, 1472, 476, 3374, 268, 2412, 3764, 610, 2394, 11344, 6960, 543, 25858, 539, 909, 269, 6744, 585, 1810, 8864, 676, 29780, 513, 17180, 2282, 519, 4099, 282, 621, 1058, 2097, 856, 2973, 950, 2944, 780, 307, 320, 1673, 320, 256, 2659, 1360, 1378, 2372, 7865, 31240, 9627, 19179, 1080, 596, 269, 14190, 621, 547, 3579, 5594, 1354, 20857, 538, 1317, 3905, 11423, 666, 6633, 2370, 11263, 269, 31160, 3636, 7258, 4195, 4829, 19997, 610, 547, 770, 7980, 585, 1019, 6137, 883, 1022, 31629, 2196, 5500, 586, 13083, 269, 962, 636, 2439, 8855, 267, 5986, 568, 782, 827, 17634, 269, 18461, 1863, 547, 23396, 856, 519, 28019, 585, 8423, 267, 30725, 720, 267, 610, 1256, 17228, 952, 9053, 269, 8414, 5986, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 20524, 519, 17545, 540, 5798, 538, 713, 1592, 540, 476, 736, 3860, 4212, 10346, 8206, 1452, 8286, 2039, 689, 5929, 14254, 25411, 1255, 267, 971, 607, 26545, 16940, 5798, 543, 522, 1889, 548, 10577, 267, 547, 18368, 6273, 10346, 899, 5053, 32202, 8759, 543, 4095, 17378, 4354, 787, 269, 6787, 596, 2461, 4058, 513, 2241, 3018, 1485, 7594, 610, 513, 20662, 880, 1490, 4875, 267, 891, 10346, 616, 2386, 547, 14183, 707, 26351, 269, 3367, 593, 543, 1205, 4712, 547, 21592, 707, 11477, 23258, 609, 891, 11684, 4212, 10346, 563, 272, 269, 12098, 27932, 6261, 17977, 674, 761, 339, 1092, 454, 288, 4469, 2948, 995, 267, 715, 22021, 7304, 747, 16505, 9724, 454, 7312, 6640, 7594, 4991, 513, 14312, 22010, 609, 713, 17724, 773, 1790, 17977, 535, 761, 339, 1092, 269, 18610, 5388, 267, 5798, 267, 543, 513, 20057, 548, 540, 10381, 1711, 513, 14254, 2407, 540, 3940, 543, 6775, 602, 786, 1832, 596, 4743, 2893, 7007, 2429, 707, 6640, 269, 17949, 713, 8670, 585, 922, 16802, 540, 2681, 267, 6492, 267, 543, 1072, 2640, 563, 292, 742, 677, 1652, 543, 24623, 454, 1607, 535, 761, 339, 1092, 11600, 568, 607, 4674, 1652, 607, 621, 568, 22537, 269, 2422, 8726, 5388, 596, 723, 593, 1688, 543, 627, 760, 909, 713, 11684, 8670, 609, 8766, 535, 1380, 269, 898, 779, 513, 7036, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 5226, 7865, 31240, 9627, 257, 607, 851, 540, 834, 23733, 1315, 20043, 1299, 2598, 1127, 1315, 16505, 9724, 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, 2252, 596, 616, 5432, 609, 2596, 2035, 971, 607, 6972, 267, 6158, 267, 543, 1210, 5907, 3457, 267, 5225, 8399, 547, 513, 811, 4359, 5850, 780, 1262, 3721, 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 ]
[ 321, 1638, 338, 723, 269, 2334, 10639, 568, 6140, 1759, 593, 22293, 543, 3352, 22529, 1043, 5411, 602, 1810, 1405, 1491, 519, 942, 547, 1451, 827, 519, 14981, 2027, 2115, 563, 1692, 3657, 1411, 6164, 532, 2659, 8891, 888, 4692, 596, 10146, 513, 942, 950, 2915, 1426, 267, 3032, 1426, 267, 610, 4620, 13000, 1705, 711, 1256, 2291, 888, 4692, 1356, 543, 2659, 8891, 454, 9617, 2161, 519, 2262, 2860, 543, 1022, 540, 513, 3984, 540, 24379, 4555, 786, 1402, 538, 707, 2247, 268, 543, 609, 1434, 2601, 269, 9435, 568, 835, 540, 519, 1034, 1455, 540, 3676, 1851, 10130, 543, 4679, 607, 519, 4620, 6502, 269, 769, 5243, 267, 519, 4908, 540, 3478, 2860, 568, 6697, 547, 602, 540, 513, 1480, 1373, 3478, 2860, 269, 3958, 267, 621, 6589, 585, 2673, 547, 3368, 519, 7972, 540, 10130, 936, 519, 2085, 540, 476, 1015, 563, 12648, 602, 808, 6064, 856, 540, 707, 2558, 6064, 454, 7312, 2199, 17365, 4558, 568, 669, 1442, 2407, 540, 1426, 543, 13000, 602, 616, 28077, 609, 3983, 2298, 5820, 269, 898, 568, 513, 1483, 8710, 602, 519, 21684, 798, 711, 3274, 12900, 896, 519, 2597, 540, 782, 602, 6299, 321, 880, 269, 3371, 616, 930, 3983, 3940, 3688, 596, 786, 1616, 2057, 899, 519, 11164, 4577, 20575, 281, 590, 1195, 9700, 7594, 267, 10568, 610, 10568, 544, 1342, 13530, 267, 8970, 15347, 7594, 267, 8970, 7594, 267, 2898, 11305, 6350, 1117, 8970, 267, 543, 22959, 616, 782, 1932, 1419, 1419, 1031, 585, 741, 3940, 1317, 789, 1942, 513, 646, 1188, 540, 513, 2603, 1447, 547, 1331, 538, 513, 1521, 610, 1426, 982, 741, 1483, 24578, 520, 3940, 13413, 971, 607, 9269, 12171, 797, 7801, 666, 849, 581, 513, 2462, 6161, 609, 2543, 547, 4620, 1426, 543, 13000, 281, 621, 568, 711, 1932, 8966, 267, 585, 1383, 267, 585, 536, 4593, 7057, 547, 581, 10085, 539, 538, 1931, 547, 1118, 873, 1413, 899, 4195, 5779, 610, 5388, 269, 901, 1131, 711, 581, 513, 5458, 3364, 952, 649, 941, 1869, 519, 6957, 2906, 267, 1394, 950, 950, 1426, 24470, 941, 1869, 1759, 593, 2030, 2861, 7135, 540, 835, 4990, 610, 1776, 269, 1809, 538, 1931, 585, 4620, 1426, 9755, 547, 4688, 2724, 543, 2333, 15325, 267, 789, 3459, 6721, 1426, 2681, 902, 7361, 689, 6464, 269, 2353, 1932, 1082, 2090, 1397, 602, 3114, 1426, 7801, 2306, 5409, 5562, 3214, 811, 865, 267, 543, 930, 2915, 30157, 2893, 519, 1482, 10039, 547, 5409, 5562, 5243, 607, 1134, 20136, 5841, 1426, 7801, 568, 1869, 4922, 2221, 5103, 519, 4641, 602, 789, 616, 7357, 11991, 543, 723, 1044, 5532, 547, 1978, 2564, 2042, 269, 898, 568, 5156, 676, 1804, 1297, 538, 519, 2564, 2361, 602, 952, 606, 12146, 568, 711, 5214, 547, 519, 1560, 630, 7945, 607, 3114, 7801, 1070, 519, 1560, 23465, 547, 621, 543, 666, 1711, 513, 2603, 540, 1072, 2152, 269, 623, 1115, 1416, 827, 6492, 267, 711, 2681, 267, 865, 1426, 24470, 616, 811, 585, 1004, 982, 585, 873, 563, 300, 23042, 651, 281, 32020, 8759, 11819, 454, 300, 23042, 651, 568, 513, 1762, 27580, 8759, 945, 729, 4535, 538, 24811, 543, 1287, 8120, 547, 519, 3552, 609, 1896, 824, 27580, 25022, 540, 2147, 4332, 269, 594, 1185, 606, 4316, 547, 2743, 631, 23042, 651, 1282, 835, 540, 519, 11925, 594, 4001, 538, 17791, 12949, 545, 9442, 609, 12292, 563, 310, 5793, 1944, 2659, 13928, 454, 2005, 781, 4098, 547, 1205, 16830, 543, 607, 971, 621, 568, 849, 942, 547, 1544, 585, 782, 707, 3544, 2831, 262, 3106, 269, 1306, 609, 782, 11864, 267, 519, 5162, 3275, 10460, 513, 1880, 19319, 910, 2865, 2523, 547, 1346, 3544, 10130, 1082, 540, 721, 723, 563, 32086, 2659, 13928, 1280, 589, 8414, 13245, 5020, 454, 3849, 641, 1154, 513, 2915, 568, 513, 2603, 540, 1187, 267, 855, 621, 666, 849, 1039, 513, 2603, 540, 9021, 547, 707, 1272, 269, 1879, 596, 1831, 513, 2915, 8227, 267, 596, 1491, 593, 519, 5539, 547, 1118, 2386, 707, 4620, 814, 3388, 646, 2115, 267, 513, 2922, 1604, 547, 2661, 538, 267, 1697, 1416, 267, 543, 3388, 646, 2115, 585, 513, 6126, 543, 2635, 1272, 256, 898, 781, 513, 2462, 1900, 547, 1416, 585, 513, 2915, 267, 855, 596, 3513, 581, 30039, 609, 513, 15962, 13959, 563, 763, 20002, 543, 519, 2142, 525, 585, 20661, 630, 13640, 12783, 267, 2334, 1772, 26695, 763, 2395, 616, 3478, 3476, 267, 543, 952, 596, 723, 513, 16770, 9921, 1612, 8527, 267, 972, 949, 581, 930, 2101, 4638, 8631, 2469, 593, 910, 543, 596, 1522, 711, 1256, 917, 621, 2336, 26524, 547, 9105, 1879, 19805, 513, 13928, 585, 7731, 5020, 454, 291, 690, 781, 2097, 538, 782, 5546, 543, 7306, 7790, 856, 540, 782, 519, 5243, 596, 4312, 2479, 1558, 596, 4312, 4440, 1044, 811, 13631, 547, 930, 14981, 982, 1866, 269, 12344, 596, 1185, 513, 2915, 950, 596, 941, 3395, 909, 543, 1616, 519, 1482, 9742, 585, 707, 1453, 269, 1809, 811, 2115, 547, 581, 5462, 982, 9742, 610, 2450, 950, 7446, 513, 1920, 2915, 563, 5715, 3233, 13928, 325, 5109, 7790, 8342, 10158, 1677, 11644, 589, 9540, 2107, 23839, 12025, 13928, 454, 2691, 594, 1185, 513, 23625, 623, 22259, 267, 594, 1031, 513, 1507, 21167, 773, 4816, 11442, 13615, 547, 513, 8938, 3723, 1279, 10260, 547, 3635, 1864, 585, 693, 2547, 4557, 3764, 693, 513, 942, 267, 7466, 513, 1554, 269, 594, 9364, 12235, 621, 2066, 519, 4055, 543, 646, 9364, 2196, 1310, 621, 547, 2879, 2255, 621, 909, 267, 23185, 676, 22578, 6720, 553, 625, 540, 678, 6235, 621, 6306, 563, 24876, 513, 13067, 6804, 9697, 610, 13928, 513, 717, 3424, 540, 6153, 4258, 518, 454, 763, 14812, 616, 513, 8748, 942, 540, 1032, 267, 2407, 540, 10761, 2073, 20772, 267, 543, 11812, 563, 25821, 13928, 674, 1878, 281, 5901, 1411, 8891, 538, 519, 962, 731, 543, 4934, 540, 23089, 1411, 667, 2632, 21763, 23067, 547, 2142, 454, 25821, 13928, 674, 1878, 454, 763, 9452, 2986, 3733, 29055, 13928, 1744, 22929, 454, 1607, 568, 519, 1650, 540, 1250, 2915, 1572, 1744, 22929, 269, 1261, 729, 1250, 19463, 4620, 543, 646, 729, 1360, 18512, 267, 6266, 540, 1187, 543, 1360, 1073, 539, 1304, 269, 3571, 1292, 6612, 538, 1272, 729, 547, 581, 3144, 585, 513, 1279, 3802, 267, 28285, 609, 513, 2462, 2196, 856, 538, 1010, 19463, 6288, 563, 347, 15100, 19158, 1057, 320, 17392, 20941, 910, 476, 1001, 274, 347, 0, 303, 4041, 17955, 24199, 6789, 306, 22218, 16774, 4959, 667, 16604, 23166, 2562, 476, 2190, 670, 5495, 11965, 267, 6730, 623, 4041, 17955, 570, 7838, 301, 2562, 3951, 20219, 23727, 4959, 5442, 12710, 11070, 3633, 563, 22860, 4506, 28636, 540, 17235, 454, 2791, 2461, 606, 3329, 894, 27680, 585, 513, 2462, 1344, 2146, 269, 1411, 2461, 7722, 593, 513, 1344, 4062, 23115, 856, 875, 6436, 540, 6760, 12172, 1880, 10963, 1927, 609, 519, 22097, 540, 10419, 21116, 543, 9601, 269, 1411, 2461, 2838, 547, 1118, 513, 13977, 18826, 6881, 547, 707, 12696, 547, 22321, 873, 547, 2196, 707, 1650, 563, 15675, 513, 5697, 6760, 689, 519, 31538, 17235, 27561, 630, 308, 10135, 264, 5358, 593, 519, 1739, 912, 26046, 713, 6760, 9001, 707, 1837, 267, 519, 14803, 657, 344, 5441, 593, 11060, 5399, 2959, 267, 543, 519, 5680, 269, 5457, 547, 9784, 519, 772, 10135, 543, 1114, 6760, 8039, 538, 707, 2079, 454, 22958, 3320, 1759, 538, 707, 2079, 267, 1020, 513, 6881, 602, 9607, 519, 1985, 912, 268, 20895, 519, 6760, 269, 2506, 7853, 1142, 519, 17101, 4214, 543, 1866, 607, 4105, 563, 268, 5681, 3405, 1125, 22097, 540, 519, 6760, 585, 1142, 519, 10419, 21116, 543, 519, 3411, 19907, 269, 5457, 547, 10800, 331, 519, 1985, 912, 268, 17502, 1470, 11296, 7592, 454, 268, 7756, 1644, 3099, 2798, 454, 268, 8564, 1079, 6436, 540, 519, 3123, 540, 6760, 799, 941, 5018, 543, 9916, 909, 547, 1631, 1369, 519, 1576, 282, 4019, 891, 6436, 547, 519, 6074, 6760, 269, 5457, 547, 10800, 331, 519, 1985, 912, 268, 22548, 1518, 519, 2186, 540, 1169, 2856, 703, 2954, 563, 268, 13185, 827, 519, 2680, 540, 1169, 2856, 543, 519, 3119, 28466, 1644, 547, 873, 563, 268, 25826, 543, 11984, 519, 476, 273, 6436, 540, 6760, 6074, 269, 13185, 827, 519, 2409, 13296, 789, 6474, 609, 519, 6760, 543, 519, 5730, 22097, 1644, 547, 519, 6760, 563, 268, 10021, 3320, 1759, 538, 707, 2079, 267, 1020, 707, 2123, 25127, 540, 519, 2601, 585, 713, 6760, 269, 22034, 519, 6436, 602, 596, 4076, 6074, 267, 596, 949, 1020, 707, 2123, 968, 332, 4869, 675, 892, 2856, 563, 268, 12315, 16048, 3123, 543, 14046, 267, 9263, 24595, 2959, 538, 4217, 540, 707, 2856, 563, 2791, 2461, 4847, 547, 1699, 707, 2856, 538, 1101, 1880, 1268, 282, 20866, 267, 4585, 856, 547, 711, 6057, 713, 17979, 563, 7312, 6881, 11129, 547, 9784, 519, 1985, 912, 268, 589, 2140, 13472, 543, 513, 4704, 13472, 630, 28205, 4465, 1406, 4096, 538, 4287, 540, 519, 2407, 3099, 540, 15942, 1916, 268, 3143, 1447, 982, 476, 276, 5220, 540, 10584, 4967, 585, 1169, 851, 547, 1118, 2312, 1945, 711, 3769, 1369, 519, 15942, 269, 630, 2026, 621, 568, 513, 6881, 519, 15942, 11129, 547, 10800, 331, 519, 3877, 543, 519, 1507, 1820, 1590, 581, 20898, 1369, 519, 10584, 779, 4967, 4700, 634, 10584, 4967, 1590, 581, 7157, 26518, 563, 14946, 513, 476, 1015, 1700, 1428, 1606, 331, 728, 6881, 538, 17948, 3898, 269, 15233, 14905, 4170, 547, 19722, 540, 2959, 563, 294, 15665, 11621, 543, 11676, 878, 454, 347, 19061, 476, 273, 717, 15665, 11621, 1475, 454, 19064, 6974, 8847, 540, 519, 6760, 269, 2506, 7853, 1142, 519, 17101, 4214, 543, 1114, 8847, 602, 596, 3274, 3605, 538, 707, 2079, 13954, 454, 347, 19352, 689, 519, 772, 10135, 543, 1114, 6760, 8039, 547, 17412, 22097, 540, 519, 6760, 585, 1142, 519, 10419, 21116, 543, 519, 3411, 19907, 269, 2506, 7853, 1880, 338, 827, 4008, 267, 14940, 267, 14227, 7592, 267, 543, 1114, 1644, 3099, 2798, 13954, 454, 347, 5141, 541, 1518, 519, 2186, 540, 1169, 2856, 13954, 454, 30106, 1779, 827, 519, 2680, 540, 1169, 2856, 543, 519, 3119, 28466, 1644, 547, 1169, 13954, 454, 347, 2750, 8533, 543, 11984, 519, 476, 273, 6436, 540, 6760, 6074, 269, 13185, 827, 519, 2409, 13296, 789, 6474, 609, 519, 6760, 543, 519, 5730, 22097, 799, 616, 1644, 547, 519, 6760, 13954, 454, 19064, 3234, 3320, 1759, 538, 707, 2079, 267, 1020, 707, 2123, 25127, 540, 519, 2601, 585, 713, 6760, 269, 22034, 519, 6436, 602, 596, 4076, 6074, 267, 596, 949, 1020, 707, 2123, 968, 332, 4869, 675, 892, 2856, 269, 12315, 16048, 3123, 543, 2959, 538, 4217, 540, 707, 2856, 13954, 454, 25219, 16478, 543, 11707, 630, 1321, 994, 4338, 288, 3334, 630, 1626, 264, 0, 763, 22236, 2475, 814, 1044, 3819, 585, 5553, 269, 2334, 3819, 1145, 814, 12873, 4190, 29278, 540, 513, 21472, 942, 281, 519, 19606, 24627, 269, 2552, 9009, 547, 2442, 6644, 543, 3875, 1533, 610, 5313, 4191, 602, 15666, 547, 6634, 540, 1296, 540, 3500, 1689, 267, 519, 2963, 540, 15999, 666, 344, 976, 267, 5458, 10575, 22284, 267, 543, 18084, 6106, 540, 6385, 9788, 11159, 666, 581, 2938, 538, 7366, 540, 4025, 538, 713, 1858, 543, 538, 824, 4025, 1472, 519, 1158, 269, 589, 1413, 693, 519, 14099, 689, 606, 20987, 936, 519, 22236, 849, 2982, 519, 6654, 2995, 339, 1446, 4191, 540, 513, 5458, 1216, 31685, 267, 543, 519, 2594, 540, 519, 2680, 568, 513, 1906, 11271, 540, 19606, 855, 26518, 538, 824, 4025, 563, 303, 1112, 999, 971, 607, 891, 616, 711, 602, 16613, 269, 23089, 1472, 519, 1158, 1397, 2147, 1919, 269, 3807, 5195, 689, 938, 2370, 19970, 538, 4639, 9098, 972, 616, 25921, 18761, 6106, 540, 24348, 4224, 543, 3875, 6753, 609, 7286, 15455, 269, 1284, 4584, 909, 7286, 15455, 5176, 1169, 3018, 1369, 513, 1906, 12919, 540, 938, 19970, 269, 1809, 519, 1641, 4991, 811, 4277, 269, 6333, 713, 281, 24398, 31231, 560, 814, 7286, 15455, 269, 634, 16266, 534, 1164, 9390, 814, 513, 10540, 540, 8093, 1242, 16385, 269, 26597, 6753, 538, 519, 2475, 723, 4620, 337, 1881, 3574, 269, 634, 4262, 15135, 723, 10239, 609, 22872, 1055, 25568, 2443, 1352, 1563, 676, 6360, 7297, 950, 1346, 6753, 941, 1657, 2199, 4262, 1377, 269, 20767, 21747, 4224, 6227, 936, 476, 273, 270, 274, 540, 519, 3618, 779, 2627, 563, 2171, 1256, 723, 8093, 1242, 21297, 8127, 269, 570, 7304 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4276, 269, 19387, 10797, 322, 20216, 31146, 2891, 290, 3918, 12442, 570, 21764, 4658, 263, 5575, 11243, 570, 28692, 267, 7831, 11243, 570, 28692, 267, 6520, 21850, 264, 15419, 322, 20216, 31146, 2891, 27486, 12224, 5442, 15674, 3212, 18393, 966, 3201, 308, 2464, 3488, 305, 517, 3299, 1412, 11917, 2365, 3299, 476, 5655, 264, 5602, 28947, 2593, 2466, 4590, 28947, 25379, 10797, 258, 7843, 335, 24766, 692, 28947, 815, 13483, 29411, 274, 269, 6618, 3488, 281, 332, 25514, 281, 17210, 322, 20216, 31146, 2891, 291, 4629, 303, 570, 21764, 17692, 12327, 3041, 4811, 4658, 257, 9239, 258, 2582, 1899, 454, 5814, 13483, 29411, 274, 454, 5976, 13483, 29411, 274, 269, 6618, 2891, 11687, 5091, 520, 15390, 6155, 321, 8442, 607, 4276, 912, 825, 524, 815, 4276, 269, 19387, 4590, 825, 524, 20216, 31146, 2891, 3269, 291, 4629, 303, 570, 21764, 17692, 12327, 3041, 4811, 4658, 3248, 23526, 595, 3918, 12442, 570, 21764, 4658, 263, 5575, 11243, 570, 28692, 267, 7831, 11243, 570, 28692, 267, 6520, 21850, 11850, 23526, 5442, 306, 12224, 5442, 15674, 3212, 18393, 966, 3201, 308, 2464, 3488, 305, 517, 3299, 1412, 11917, 2365, 3299, 1412, 5655, 10807, 3248, 23526, 5727, 994, 825, 4276, 2593, 2466, 4590, 28947, 25379, 10797, 15161, 11749, 1132, 815, 630, 3488, 299, 340, 580, 328, 3299, 1412, 309, 2075, 2714, 328, 3299, 476, 6246, 1070, 18011, 6635, 11037, 3299, 1412, 289, 2454, 3299, 476, 2764, 4917, 322, 20216, 1815, 583, 655, 1415, 2891, 27486, 12224, 5442, 15674, 4658, 966, 3201, 308, 2464, 263, 29845, 7790, 267, 7790, 264, 2580, 1004, 11749, 1132, 9239, 258, 3593, 9411, 454, 5814, 13483, 29411, 274, 692, 258, 1205, 1239, 454, 14140, 11243, 815, 3403, 2891, 11767, 707, 1101, 2012, 281, 19515, 18431, 11243, 815, 3403, 2891, 11767, 707, 2063, 2012, 281, 19515, 720, 815, 703, 9272, 2891, 11767, 707, 2085, 281, 834, 11723, 258, 14892, 7696, 454, 5976, 13483, 29411, 274, 269, 6618, 3488, 11687, 5091, 520, 15390, 6155, 321, 10807, 607, 4276, 912, 825, 524, 815, 4276, 269, 19387, 4590, 825, 1899, 815, 834, 27486, 12224, 5442, 15674, 4658, 966, 3201, 308, 2464, 18011, 257, 266, 1101, 11243, 1341, 257, 3299, 1412, 257, 266, 2063, 11243, 1341, 257, 3299, 834, 1341, 1598, 263, 720, 264, 1341, 8442, 4840, 825, 524, 26769, 3825, 263, 1467, 9239, 258, 3593, 3989, 1239, 454, 5814, 13483, 29411, 274, 454, 14140, 11243, 815, 3403, 2891, 11767, 707, 1101, 2012, 281, 19515, 18431, 11243, 815, 3403, 2891, 11767, 707, 2063, 2012, 281, 19515, 720, 815, 703, 9272, 2891, 11767, 707, 2085, 281, 27328, 17367, 10574, 815, 630, 14140, 11243, 267, 2063, 11243, 267, 2085, 994, 5976, 13483, 29411, 274, 269, 6618, 3488, 11687, 5091, 520, 15390, 6155, 321, 10807, 607, 4276, 912, 453, 322, 815, 4276, 269, 19387, 4590, 453, 322, 20216, 31146, 2891, 27486, 12224, 5442, 15674, 4658, 966, 3201, 308, 2464, 263, 29845, 7790, 267, 7790, 264, 2580, 1268, 10574, 2020, 322, 20216, 31146, 2891, 308, 11520, 12442, 4658, 590, 4953, 6520, 284, 286, 18040, 16730, 1101, 11243, 284, 286, 543, 2063, 11243, 284, 286, 2580, 630, 3393, 267, 1412, 299, 340, 580, 328, 3299, 1412, 309, 2075, 2714, 328, 10807, 2020, 692, 258, 1224, 6050, 454, 5814, 13483, 29411, 274, 692, 15161, 309, 3201, 308, 2464, 815, 630, 3488, 305, 517, 3299, 1412, 11917, 2365, 3299, 476, 5655, 1070, 18011, 299, 340, 580, 328, 3299, 1412, 309, 2075, 2714, 328, 3299, 476, 6246, 1070, 18011, 6635, 11037, 3299, 1412, 289, 2454, 3299, 476, 2764, 11723, 5976, 13483, 29411, 274, 269, 6618, 3488, 11687, 5091, 520, 15390, 6155, 321, 10807, 607, 4276, 912, 825, 524, 815, 4276, 269, 19387, 4590, 825, 524, 20216, 31146, 2891, 291, 4629, 303, 570, 21764, 17692, 12327, 3041, 4811, 4658, 5602, 825, 524, 20216, 31146, 2891, 290, 3918, 12442, 570, 21764, 4658, 6600, 1009, 11243, 570, 28692, 267, 2063, 11243, 570, 28692, 267, 2085, 21850, 264, 5602, 825, 524, 20216, 1815, 583, 655, 1415, 2891, 27486, 12224, 5442, 15674, 4658, 966, 3201, 308, 2464, 263, 29845, 7790, 267, 7790, 264, 2580, 1004, 309, 3201, 308, 2464, 2020, 258, 572, 937, 782, 1101, 543, 2063, 4408, 689, 1004, 936, 2085, 476, 1789, 454, 825, 524, 20216, 31146, 2891, 10345, 22268, 1101, 11243, 267, 2063, 11243, 20978, 4658, 18040, 16730, 2085, 3436, 476, 1789, 5602, 825, 585, 4737, 538, 524, 8807, 21255, 718, 10031, 1038, 1820, 21405, 2020, 258, 8520, 454, 825, 524, 20216, 31146, 2891, 10345, 22268, 1101, 11243, 267, 2063, 11243, 20978, 4658, 18040, 16730, 2085, 3436, 476, 1789, 5602, 825, 1247, 6936, 912, 2018, 4737, 815, 524, 8807, 21255, 821, 4590, 2018, 952, 4737, 568, 7183, 912, 7386, 2736, 454, 2018, 1820, 21405, 2020, 19638, 692, 7531, 0, 8266, 15058, 5332, 13246, 815, 1496, 276, 267, 1015, 267, 1428, 267, 736, 267, 1839, 2639, 1721, 1297, 538, 5903, 15058, 5332, 13246, 912, 825, 1820, 28840, 1262, 1015, 994, 5814, 942, 454, 11749, 1132, 8217, 815, 11713, 11749, 1132, 8217, 6910, 28840, 1262, 1015, 994, 2745, 263, 11749, 1132, 8217, 994 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 4495, 2390, 513, 942, 267, 538, 513, 2244, 2484, 267, 2484, 2476, 267, 972, 729, 513, 9589, 10806, 1500, 909, 540, 2185, 2027, 3338, 910, 10610, 8092, 267, 9650, 8092, 267, 13336, 8092, 267, 543, 1325, 17057, 344, 8092, 269, 3962, 2244, 729, 2189, 543, 1271, 538, 922, 1378, 1259, 780, 28694, 8092, 729, 1141, 3025, 5030, 543, 5129, 269, 898, 729, 2407, 540, 4054, 267, 5810, 267, 2831, 267, 543, 1004, 945, 6743, 1114, 689, 1142, 824, 269, 2368, 1185, 1769, 2960, 267, 930, 1185, 4158, 2960, 267, 930, 1185, 1225, 569, 4552, 267, 543, 1866, 1185, 2786, 4552, 269, 1358, 3357, 538, 782, 5546, 543, 7306, 256, 1656, 1256, 1498, 789, 1522, 1413, 1114, 593, 519, 3544, 267, 789, 782, 1185, 12271, 602, 10726, 543, 4703, 602, 6410, 780, 3080, 1554, 267, 513, 2370, 8004, 3957, 15039, 4280, 1200, 3158, 267, 834, 3963, 798, 649, 723, 1114, 4703, 8119, 4173, 3158, 6045, 267, 834, 11039, 267, 1175, 899, 875, 1169, 6777, 4148, 820, 568, 2189, 267, 865, 568, 1169, 1268, 781, 1560, 269, 1284, 991, 938, 4703, 547, 1847, 1472, 267, 29751, 938, 2828, 267, 543, 2263, 519, 1158, 15323, 9202, 547, 10610, 8092, 729, 9650, 8092, 267, 1141, 4555, 543, 2093, 5030, 269, 769, 713, 2244, 267, 596, 1223, 1265, 9909, 267, 16858, 267, 543, 2984, 2943, 547, 581, 5143, 269, 5272, 7853, 10272, 9650, 8092, 1419, 267, 1317, 713, 568, 1141, 789, 2219, 827, 1919, 899, 1018, 547, 5957, 267, 1018, 547, 3548, 267, 543, 875, 547, 1404, 269, 6884, 267, 950, 1079, 1004, 14437, 547, 1142, 824, 267, 741, 8186, 4448, 267, 2870, 1007, 2093, 543, 1620, 780, 299, 1176, 9289, 16965, 267, 834, 1692, 666, 594, 1589, 827, 4672, 8645, 6730, 4730, 3544, 693, 519, 1482, 942, 8119, 4173, 19033, 14452, 9900, 267, 834, 7312, 2247, 568, 3532, 256, 1411, 666, 3180, 811, 982, 835, 2856, 693, 2899, 3010, 4002, 519, 824, 2427, 540, 10610, 8092, 2482, 13336, 8092, 267, 1753, 547, 2648, 267, 11587, 267, 543, 8788, 269, 4658, 7948, 1405, 1294, 13336, 8092, 607, 3362, 607, 519, 824, 4025, 267, 855, 789, 6785, 621, 11478, 1317, 789, 5433, 3636, 543, 18241, 3330, 950, 2576, 5795, 873, 513, 2462, 29751, 610, 26866, 1229, 2186, 1913, 883, 741, 1274, 269, 1879, 1004, 5280, 1866, 1510, 24584, 4376, 1394, 267, 789, 3838, 741, 13336, 8092, 1648, 609, 1346, 1472, 873, 780, 30948, 2306, 803, 1745, 6126, 3330, 950, 594, 2671, 9162, 609, 1250, 3659, 8119, 15039, 4280, 1200, 4116, 269, 634, 4116, 20493, 267, 834, 2691, 596, 2285, 1945, 547, 1776, 1268, 267, 596, 6445, 3054, 909, 609, 15962, 6891, 1648, 1932, 15323, 7661, 267, 8220, 782, 1614, 3338, 729, 1325, 17057, 344, 8092, 269, 3767, 267, 1325, 17057, 344, 8092, 7012, 1405, 4010, 513, 1747, 282, 3079, 267, 621, 729, 519, 9059, 8115, 602, 5532, 3388, 1927, 269, 2060, 9639, 543, 2259, 267, 1004, 4121, 547, 9192, 519, 1655, 2694, 540, 10610, 267, 9650, 267, 543, 13336, 14924, 547, 1711, 4190, 2833, 780, 2690, 1383, 267, 4952, 2348, 513, 17552, 5371, 630, 28694, 264, 1247, 4687, 1187, 2984, 630, 21790, 264, 543, 28617, 1927, 630, 306, 2869, 527, 1040, 2334, 4999, 5932, 513, 8748, 3965, 256, 2107, 5310, 5373, 5961, 630, 28694, 1070, 1210, 6266, 540, 9345, 630, 21790, 1070, 543, 4743, 10583, 540, 519, 3803, 5137, 630, 306, 2869, 527, 1040, 1452, 8090, 4547, 7772, 543, 10103, 547, 3025, 3238, 780, 299, 1176, 11432, 1229, 267, 834, 3383, 267, 1325, 17057, 344, 8092, 3884, 1405, 2731, 513, 1412, 2897, 10086, 855, 811, 899, 513, 5728, 12146, 585, 1818, 1434, 8823, 8119, 4173, 6264, 2742, 21330, 20617, 267, 834, 6546, 781, 1318, 267, 15210, 269, 1635, 1565, 875, 547, 3666, 891, 3344, 1369, 6000, 267, 649, 1831, 18668, 543, 8902, 2949, 3010, 4517, 689, 1287, 593, 267, 8164, 4896, 1705, 1945, 2186, 610, 3860, 267, 789, 2366, 678, 31454, 540, 2648, 2429, 10610, 267, 9650, 267, 13336, 267, 543, 1325, 17057, 344, 14924, 267, 22348, 3025, 602, 2324, 1927, 2813, 513, 1454, 17321, 543, 1732, 1158, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 15507, 1826, 281, 1022, 1315, 782, 1315, 8360, 563, 31374, 676, 281, 10083, 1315, 8400, 563, 1724, 269, 736, 7726, 518, 281, 1772, 972, 1022, 2168, 3017, 1063, 1101, 543, 2034, 5860, 286, 1280, 3236, 267, 952, 594, 1223, 1294, 513, 2034, 29213, 4541, 543, 513, 1101, 29213, 4541, 2427, 676, 2427, 267, 538, 1250, 1459, 2783, 267, 1223, 594, 1294, 1312, 540, 873, 286, 14348, 789, 581, 1312, 7298, 888, 26244, 281, 594, 993, 14780, 269, 901, 568, 2953, 269, 2353, 540, 519, 12354, 1511, 540, 707, 24186, 1131, 581, 5693, 7298, 941, 711, 519, 8772, 998, 519, 18749, 11884, 7446, 711, 547, 581, 7298, 563, 1321, 269, 1704, 7726, 518, 281, 6496, 606, 1367, 538, 519, 8772, 5860, 7363, 2408, 1765, 610, 616, 789, 7363, 15865, 547, 721, 888, 26244, 281, 594, 993, 14780, 269, 634, 946, 540, 519, 2262, 968, 7538, 892, 568, 835, 799, 581, 325, 3291, 956, 519, 2495, 540, 519, 2243, 269, 2913, 721, 556, 874, 19189, 585, 9355, 269, 634, 8772, 5860, 568, 267, 676, 3903, 267, 711, 7298, 547, 3791, 5860, 269, 898, 568, 2009, 585, 8772, 5860, 547, 581, 7298, 269, 1717, 267, 621, 568, 711, 519, 3903, 540, 519, 8772, 29213, 11769, 547, 581, 7298, 1813, 547, 519, 13766, 585, 5834, 2390, 513, 2864, 2352, 5854, 1049, 1950, 799, 1775, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 289, 7495, 312, 267, 631, 18853, 1299, 9501, 7644, 3951, 1315, 1325, 17057, 344, 2580, 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, 7705, 281, 19850, 7585, 256, 594, 729, 2542, 827, 1686, 2221, 543, 621, 3893, 803, 3206, 269, 1684, 596, 917, 1018, 834, 29378, 257, 1797, 2496, 7692, 281, 23010, 267, 594, 1589, 865, 269, 898, 4016, 547, 519, 1101, 610, 3312, 11317, 540, 513, 1747, 269, 6145, 267, 519, 7087, 1004, 540, 3013, 616, 519, 7111, 4892, 780, 8334, 281, 2334, 781, 1318, 256, 1656, 798, 596, 917, 1946, 621, 781, 1271, 547, 1451, 827, 7087, 1004, 543, 741, 4529, 2496, 7692, 281, 5221, 621, 2337, 721, 1174, 519, 2250, 543, 5660, 519, 4763, 540, 1480, 7239, 2496, 8334, 281, 22549, 256, 3767, 267, 1577, 781, 2911, 827, 1945, 811, 2413, 269, 1548, 1281, 834, 16591, 10350, 257, 1611, 2496, 7692, 281, 4270, 267, 621, 814, 547, 798, 609, 875, 3906, 610, 2950, 616, 2196, 269, 6153, 10350, 1797, 14619, 267, 11413, 267, 543, 12477, 780, 8334, 281, 8786, 267, 543, 621, 781, 1271, 1317, 621, 5849, 602, 3025, 781, 2115, 616, 1558, 543, 602, 3664, 616, 1500, 538, 513, 3743, 1259, 269, 3807, 899, 950, 649, 1404, 513, 3014, 1927, 267, 649, 991, 547, 1491, 7140, 267, 581, 9237, 267, 543, 1118, 2386, 3025, 23216, 593, 519, 3652, 780, 7692, 281, 9406, 267, 602, 781, 1455, 2631, 256, 24935, 540, 3756, 267, 3314, 950, 649, 5129, 13558, 543, 8861, 4941, 547, 6443, 855, 972, 941, 1100, 3063, 11084, 2496, 8334, 281, 7937, 9493, 1695, 267, 602, 729, 16602, 269, 1809, 1287, 649, 4956, 547, 2671, 519, 3440, 543, 3576, 7140, 4730, 609, 1200, 269, 2334, 729, 18756, 543, 4951, 1434, 10350, 1932, 2439, 7692, 281, 25999, 269, 1656, 676, 519, 1259, 267, 594, 4862, 602, 930, 14761, 538, 938, 4884, 4769, 1405, 10505, 741, 5859, 6898, 585, 519, 2199, 9550, 780, 8334, 281, 26419, 286, 4208, 1131, 789, 798, 602, 2496, 7692, 281, 9320, 789, 941, 11112, 610, 29709, 269, 1809, 621, 781, 1271, 585, 10457, 547, 2671, 741, 2093, 543, 4566, 609, 519, 2146, 267, 1175, 899, 875, 649, 2491, 938, 4555, 543, 4606, 547, 1142, 824, 780, 8334, 281, 23010, 267, 2792, 568, 1883, 547, 2679, 3972, 543, 2324, 2509, 1455, 3853, 269, 594, 7058, 711, 26446, 513, 3948, 1522, 1860, 741, 8458, 540, 3478, 11221, 267, 26001, 2496, 7692, 281, 31598, 269, 966, 582, 619, 1616, 547, 917, 945, 789, 2811, 7446, 543, 1018, 789, 1796, 585, 269, 1635, 711, 4687, 741, 5784, 267, 1346, 10457, 14406, 606, 4316, 547, 1921, 609, 519, 2146, 543, 1397, 741, 7029, 547, 7674, 1866, 780, 8334, 281, 1411, 2811, 1318, 267, 7585, 269, 5871, 2631, 6645, 721, 602, 1373, 1930, 543, 12001, 568, 2141, 1732, 982, 5329, 1919, 547, 6000, 269, 2913, 781, 2119, 547, 2259, 602, 538, 938, 3232, 2729, 1932, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3528, 634, 2549, 615, 560, 1473, 344, 454, 2026, 649, 723, 2944, 538, 3105, 12836, 267, 519, 1473, 344, 6035, 10457, 585, 519, 13646, 540, 16011, 7027, 267, 3427, 9730, 267, 543, 7732, 11565, 2465, 606, 4316, 547, 2022, 2123, 5859, 6898, 538, 938, 8313, 269, 1284, 849, 6035, 10457, 606, 4316, 547, 4431, 547, 513, 5618, 18102, 538, 1931, 547, 2285, 17037, 513, 2312, 16315, 540, 1141, 789, 1796, 593, 930, 540, 519, 10296, 2152, 6849, 938, 4884, 269, 769, 10903, 725, 941, 2366, 547, 782, 10457, 538, 2038, 5239, 10756, 2171, 1705, 711, 4309, 2123, 6898, 689, 519, 1739, 10457, 281, 4793, 1546, 17951, 601, 529, 630, 307, 1144, 7027, 267, 10588, 476, 273, 1070, 7917, 670, 1122, 1676, 630, 307, 1144, 7027, 267, 10588, 476, 276, 1070, 1546, 4011, 1695, 15182, 731, 630, 18662, 9730, 1070, 10787, 1695, 589, 1889, 523, 630, 299, 3869, 11565, 2465, 994, 763, 796, 539, 1243, 2123, 6898, 540, 519, 10457, 616, 11540, 2630, 269, 13786, 525, 547, 519, 18102, 666, 581, 1336, 1210, 519, 6402, 2630, 563, 296, 993, 8149, 547, 5807, 513, 25442, 2528, 540, 9316, 267, 14207, 267, 543, 23801, 2962, 547, 4194, 2565, 2152, 538, 2549, 615, 560, 281, 10097, 8027, 267, 1434, 10350, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 19615, 1315, 7087, 1315, 7073, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269, 0, 476, 273, 269, 275, 8606, 916, 281, 634, 2494, 577, 584, 1014, 15443, 28371, 543, 6153, 13957, 543, 6153, 24664, 692, 2026, 649, 3136, 938, 3408, 540, 5062, 10111, 20321, 1143, 543, 519, 12019, 2782, 267, 1577, 781, 2490, 938, 3007, 547, 1079, 5929, 8874, 602, 1683, 5813, 883, 713, 31341, 6681, 1974, 538, 1977, 1686, 281, 634, 2494, 577, 584, 1014, 15443, 28371, 630, 3422, 273, 264, 543, 6153, 13957, 543, 6153, 24664, 630, 1220, 276, 1040, 5637, 8874, 2709, 2189, 5380, 593, 519, 2797, 2916, 540, 519, 942, 543, 4196, 607, 3532, 6085, 2456, 593, 519, 12178, 540, 4250, 2173, 784, 1359, 543, 2229, 936, 18943, 780, 763, 2494, 577, 584, 1014, 15443, 28371, 454, 10900, 7042, 17445, 539, 676, 3627, 7671, 523, 10773, 543, 1759, 593, 9400, 595, 5064, 781, 3209, 540, 519, 1482, 2012, 267, 634, 2494, 577, 584, 1014, 15443, 28371, 5205, 519, 1650, 540, 31434, 26396, 267, 513, 21243, 11114, 2782, 5869, 945, 568, 2634, 13195, 1117, 676, 19797, 8069, 1282, 1010, 24811, 269, 16270, 13059, 1753, 267, 646, 3587, 606, 7938, 9231, 18272, 514, 6417, 676, 1010, 3993, 267, 513, 678, 3578, 1652, 22267, 5275, 547, 13861, 1864, 585, 1200, 1378, 2744, 780, 2162, 8466, 12745, 692, 265, 1234, 548, 1078, 693, 519, 4463, 540, 519, 12019, 2782, 267, 634, 2494, 577, 584, 1014, 15443, 28371, 9356, 4145, 827, 8168, 3310, 1369, 3013, 543, 519, 1761, 585, 2247, 1852, 610, 2634, 31290, 2553 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 955, 454, 8987, 279, 264, 1109, 383, 371, 22791, 275, 264, 21591, 18704, 11196, 279, 264, 883, 476, 275, 3160, 2516, 454, 734, 4534, 4534, 4534, 454, 1692, 1082, 2516, 540, 11196, 275, 264, 616, 538, 11196, 279, 25145, 263, 266, 279, 264, 1109, 383, 371, 11196, 275, 264, 21591, 18704, 22791, 279, 264, 883, 11196, 275, 264, 3160, 2516, 454, 1692, 1082, 2516, 540, 11196, 275, 264, 616, 538, 22791, 279, 25145, 268, 273, 1535, 910, 275, 1109, 284, 476, 279, 454, 317, 1607, 568, 1572, 11638, 2364, 894, 769, 2091, 9745, 692, 2162, 3967, 8291, 781, 29435, 532, 6715, 619, 2480, 11171, 5403, 692, 263, 266, 279, 264, 1315, 22791, 275, 264, 815, 2608, 6748, 513, 26230, 1317, 594, 1810, 1405, 723, 513, 6498, 3364, 269, 22177, 763, 1259, 547, 4194, 713, 2243, 568, 538, 1079, 2081, 780, 272, 269, 769, 519, 1913, 912, 257, 18704, 476, 279, 883, 476, 275, 3160, 2516, 3010, 263, 296, 6415, 27613, 2322, 538, 513, 4605, 1317, 594, 6415, 27823, 8094, 3383, 7168, 1454, 267, 713, 568, 1018, 621, 1131, 581, 9674, 883, 269, 630, 12585, 568, 15069, 476, 273, 24355, 3086, 267, 519, 2034, 1259, 547, 2161, 713, 2243, 1131, 581, 2676, 257, 1692, 1082, 3160, 2516, 540, 476, 275, 616, 538, 476, 279, 24350, 3383, 267, 519, 2626, 1131, 581, 476, 273, 2899, 1586, 780, 301, 28692, 32530, 3582, 21764, 32530, 3582, 8946, 2969, 631, 32767, 19294, 10911, 312, 15528, 700, 4953, 24202, 23184, 692, 8987, 279, 264, 1315, 11196, 275, 2020, 18704, 11196, 279, 264, 883, 11196, 275, 264, 3160, 2516, 563, 17472, 269, 11298, 10691, 623, 7473, 8946, 2969, 269, 1411, 666, 1405, 2671, 2258, 2510, 883, 513, 2942, 2179, 540, 2516, 269, 1924, 267, 649, 946, 519, 824, 3948, 780, 1692, 1082, 3160, 2516, 540, 910, 275, 616, 538, 910, 279, 286, 476, 273, 780, 1607, 568, 2318, 476, 273, 267, 1317, 540, 519, 1129, 4341, 1141, 621, 3081, 834, 534, 1256, 1297, 540, 2258, 2510, 786, 2141, 1267, 538, 513, 2318, 1701, 780, 3383, 907, 6614, 1695, 780, 8987, 279, 264, 1315, 630, 275, 2020, 18704, 910, 279, 538, 476, 275, 3160, 2516, 780, 2690, 519, 2034, 1259, 10484, 1692, 1082, 2516, 540, 476, 275, 616, 538, 910, 279, 454, 299, 565, 579, 17485, 518, 649, 666, 1405, 798, 602, 780, 9223, 476, 275, 630, 29806, 2243, 24355, 263, 279, 264, 1315, 11196, 275, 264, 25883, 18704, 476, 279, 538, 910, 275, 3160, 2516, 563, 5591, 780, 1692, 1082, 2516, 540, 910, 275, 616, 538, 476, 279, 888, 301, 2100, 561, 565, 692, 301, 8582, 24199, 4959, 589, 623, 11286, 18040, 16730, 25723, 10911, 312, 269, 645, 4488, 288, 27516, 25723, 25758, 23184, 5058, 5442, 15674, 590, 6865, 24518, 5058, 595, 17920, 3633, 5990, 631, 8085, 2316, 12195, 32177, 20937, 5442, 309, 8991, 292, 780, 763, 3948, 799, 568, 519, 11638, 2364, 894, 11201, 267, 568, 834, 1432, 2053, 12223, 3947, 596, 12223, 12482, 4517, 972, 568, 513, 1007, 3830, 585, 713, 269, 3767, 267, 621, 568, 1384, 8987, 273, 264, 1535, 11196, 275, 264, 815, 1109, 266, 279, 780, 288, 12711, 12711, 663, 649, 2811, 2944, 256, 962, 599, 599, 599, 599, 599, 599, 599, 692, 1012, 13628, 267, 5130, 476, 1626, 267, 476, 1001, 275, 692, 2162, 19162, 5055, 639, 262, 14921, 9981, 1085, 11171, 692, 9223, 1948, 276, 454, 2237, 1142, 7368, 1840, 607, 513, 8691, 563, 288, 264, 5231, 22791, 272, 11924, 263, 266, 272, 11924, 263, 266, 272, 11924, 263, 266, 272, 11924, 263, 266, 272, 6661, 476, 276, 2608, 476, 272, 815, 476, 276, 454, 289, 264, 11196, 277, 11924, 8987, 277, 6661, 476, 273, 2608, 910, 277, 815, 910, 1321, 692, 9223, 1948, 278, 454, 2237, 1142, 4082, 607, 513, 7368, 1840, 563, 288, 264, 476, 1109, 263, 266, 274, 31618, 266, 279, 6661, 22791, 279, 11924, 263, 266, 279, 11924, 263, 266, 279, 6661, 22791, 2190, 994, 289, 264, 476, 1109, 263, 266, 276, 12684, 8987, 277, 6661, 11196, 277, 11924, 8987, 277, 6661, 8987, 277, 11924, 8987, 277, 11924, 8987, 277, 6661, 11196, 1789, 2020, 9223, 1948, 476, 1724, 454, 290, 4878, 543, 13159, 1142, 8691, 6898, 563, 288, 264, 22791, 275, 31618, 266, 277, 6661, 22791, 2190, 994, 289, 264, 22791, 278, 12684, 8987, 273, 6661, 11196, 1691, 994, 290, 264, 11196, 272, 31618, 266, 276, 6661, 11196, 276, 994, 291, 264, 11196, 279, 12684, 8987, 273, 6661, 263, 266, 1626, 2020, 9223, 1948, 476, 1428, 454, 2304, 8484, 1784, 1742, 693, 476, 274, 544, 4882, 585, 476, 1321, 521, 269, 2422, 8691, 547, 2099, 519, 3510, 269, 476, 1109, 1692, 2484, 1281, 519, 8484, 13956, 2496, 274, 265, 1321, 284, 476, 3607, 7545, 634, 8484, 13956, 476, 3607, 544, 780, 9223, 1948, 476, 1704, 692, 2304, 3282, 6551, 568, 17656, 476, 273, 544, 26553, 269, 1215, 2620, 568, 519, 1134, 1310, 519, 1101, 476, 279, 1295, 888, 273, 265, 279, 284, 1626, 30336, 1109, 763, 1134, 568, 476, 1626, 544, 2620, 780, 15507, 2164, 0, 258, 681, 6359, 526, 6130, 5685, 924, 12197, 692, 288, 1101, 942, 5467, 1522, 18178, 713, 3296, 543, 979, 2047, 547, 519, 6609, 540, 519, 5180, 14759, 267, 1287, 2097, 1394, 2663, 630, 527, 568, 6140, 3730, 547, 1174, 519, 4070, 540, 519, 5106, 14330, 543, 590, 289, 6393, 10376, 31632, 538, 589, 2464, 568, 9763, 607, 606, 3693, 540, 513, 9352, 13113, 2361, 540, 476, 16348, 2609, 267, 1141, 621, 666, 2141, 581, 6719, 607, 513, 9971, 540, 4110, 693, 1034, 476, 278, 609, 14170, 538, 7445, 10400, 346, 293, 20731, 273, 10608, 634, 4070, 540, 519, 13113, 2361, 568, 1500, 607, 519, 23479, 8258, 7445, 10400, 346, 293, 20731, 273, 20572, 316, 270, 325, 3287, 29408, 1141, 259, 325, 259, 529, 606, 9048, 3027, 1043, 9971, 540, 4110, 476, 279, 538, 7445, 10400, 674, 318, 273, 20572, 316, 259, 810, 519, 8258, 3587, 513, 2361, 780, 1103, 589, 2464, 267, 519, 3903, 585, 259, 325, 259, 529, 692, 259, 325, 3287, 264, 815, 1535, 317, 279, 1341, 1535, 317, 275, 1341, 1535, 317, 274, 1341, 1535, 1341, 476, 272, 269, 6911, 2171, 666, 2638, 609, 590, 720, 13043, 602, 621, 568, 9048, 3027, 1043, 1384, 293, 273, 815, 717, 293, 263, 273, 264, 298, 269, 283, 343, 285, 815, 674, 273, 26514, 325, 815, 1535, 317, 279, 1341, 1535, 317, 275, 1341, 1535, 317, 274, 1341, 1535, 1341, 476, 272, 325, 18994, 318, 597, 516, 3027, 1043, 3890, 258, 6936, 692, 258, 631, 10248, 1635, 5052, 607, 5685, 924, 12197, 15689, 692, 288, 31632, 1269, 321, 259, 568, 7768, 540, 476, 279, 11353, 18159, 321, 318, 278, 267, 1422, 24126, 267, 536, 318, 271, 264, 318, 273, 259, 543, 568, 20083, 547, 513, 9971, 607, 692, 259, 321, 318, 278, 343, 317, 278, 1341, 536, 318, 278, 1535, 317, 277, 1341, 1422, 26984, 1341, 536, 318, 272, 1535, 1341, 536, 318, 271, 269, 6911, 2690, 3236, 267, 1491, 519, 31632, 476, 274, 320, 4171, 9352, 17883, 568, 18159, 271, 267, 476, 271, 267, 476, 272, 267, 476, 272, 267, 476, 272, 267, 476, 271, 267, 476, 272, 267, 476, 271, 264, 318, 273, 259, 543, 3587, 519, 9971, 692, 259, 271, 24206, 1535, 317, 278, 1341, 476, 271, 24206, 1535, 317, 277, 1341, 476, 272, 24206, 1535, 317, 276, 1341, 476, 272, 24206, 1535, 317, 275, 1341, 476, 272, 24206, 1535, 317, 274, 1341, 476, 271, 24206, 1535, 317, 273, 1341, 476, 272, 24206, 1535, 1341, 476, 271, 815, 1535, 317, 276, 1341, 1535, 317, 275, 1341, 1535, 317, 274, 1341, 1535, 269, 6911, 258, 27155, 22159, 692, 21691, 8662, 338, 540, 4110, 476, 279, 610, 811, 666, 2141, 581, 4389, 267, 1210, 519, 1249, 602, 538, 519, 13113, 2361, 267, 649, 723, 1269, 325, 3287, 264, 815, 476, 271, 259, 2073, 865, 649, 723, 519, 6935, 692, 259, 343, 317, 279, 815, 1535, 317, 275, 1341, 1535, 317, 274, 1341, 1535, 1341, 476, 272, 6911, 3963, 711, 1269, 343, 317, 279, 815, 910, 1535, 317, 275, 910, 1535, 317, 274, 910, 1535, 910, 476, 272, 259, 286, 769, 1249, 267, 602, 781, 849, 3020, 267, 855, 519, 11664, 616, 538, 4399, 10400, 674, 318, 273, 259, 865, 519, 19605, 11201, 27572, 272, 259, 540, 1269, 272, 259, 568, 3294, 780, 1103, 590, 720, 13043, 267, 713, 5786, 666, 581, 3812, 538, 835, 540, 519, 1739, 2409, 780, 19686, 476, 272, 281, 3816, 664, 1457, 540, 606, 28070, 6498, 676, 1269, 325, 6911, 3287, 317, 279, 1341, 1535, 317, 277, 1341, 1535, 317, 275, 1341, 476, 272, 264, 4939, 535, 258, 1535, 317, 277, 1341, 1535, 317, 274, 1341, 1535, 692, 19686, 476, 273, 281, 12005, 538, 519, 23479, 8258, 4399, 10400, 346, 293, 20731, 273, 20572, 316, 270, 325, 3287, 7751, 5889, 11366, 587, 373, 692, 305, 815, 918, 269, 638, 582, 1304, 6600, 264, 305, 3287, 317, 279, 1341, 1535, 317, 277, 1341, 1535, 317, 275, 1341, 476, 272, 264, 258, 1535, 8663, 317, 277, 1341, 1535, 8663, 317, 274, 1341, 1535, 8663, 692, 19686, 476, 274, 281, 4635, 519, 5685, 924, 12197, 1362, 540, 590, 720, 13043, 2047, 780, 293, 269, 283, 343, 285, 815, 717, 293, 263, 273, 317, 279, 267, 29870, 24210, 317, 279, 1341, 1535, 317, 275, 1341, 1535, 317, 274, 1341, 1535, 1341, 476, 272, 32589, 317, 279, 1341, 1535, 317, 277, 1341, 1535, 317, 275, 1341, 476, 272, 258, 1535, 317, 277, 1341, 1535, 317, 274, 1341, 1535, 692, 4002, 713, 2985, 649, 946, 713, 2063, 1505, 269, 4746, 267, 713, 25961, 17838, 606, 3693, 540, 519, 13113, 2361, 547, 519, 15279, 1228, 31565, 6041, 540, 513, 31632, 267, 543, 1223, 581, 3730, 538, 519, 1806, 1384, 3698, 674, 15461, 318, 28411, 5416, 2567, 825, 2132, 2098, 313, 5416, 269, 15759, 518, 318, 10517, 19948, 3890, 1040, 28411, 3890, 5889, 11366, 587, 373, 321, 815, 1535, 317, 275, 1341, 1535, 317, 274, 1341, 1535, 1341, 476, 272, 293, 15461, 318, 28411, 6357, 264, 258, 1412, 272, 321, 28847, 763, 1840, 540, 1079, 21335, 568, 2944, 676, 4946, 519, 14170, 7222, 540, 1142, 1395, 6706, 1384, 7445, 8999, 3709, 328, 284, 271, 11892, 278, 513, 318, 1460, 317, 328, 1341, 1422, 8999, 3709, 328, 284, 271, 11892, 278, 536, 318, 1460, 317, 328, 815, 1422, 8999, 3709, 328, 284, 271, 11892, 278, 5416, 10983, 1341, 536, 10983, 32589, 317, 328, 269, 6911, 4517, 607, 519, 1840, 540, 519, 14170, 568, 538, 7445, 10400, 346, 293, 20731, 273, 8961, 621, 14687, 547, 519, 3787, 3772, 1535, 528, 5106, 593, 519, 31632, 780, 258, 18527, 692, 25648, 6473, 540, 1079, 21335, 568, 811, 1950, 630, 821, 1383, 1131, 581, 519, 10127, 1846, 18866, 5690, 267, 811, 3608, 982, 519, 14255, 633, 5690, 1040, 1280, 606, 6388, 540, 589, 2464, 267, 621, 568, 2009, 547, 1152, 946, 519, 8691, 676, 1269, 343, 8961, 4171, 31632, 6041, 568, 476, 6349, 780, 4131, 259, 321, 318, 278, 343, 317, 278, 1341, 1422, 26984, 1341, 536, 318, 272, 343, 1341, 536, 318, 271, 259, 534, 3693, 543, 649, 2015, 519, 8691, 676, 259, 343, 259, 1384, 259, 343, 24585, 630, 321, 318, 278, 343, 317, 278, 1341, 1422, 26984, 1341, 536, 318, 272, 343, 1341, 536, 318, 271, 264, 815, 536, 318, 278, 343, 317, 279, 1341, 536, 318, 277, 343, 317, 278, 1341, 1422, 26984, 536, 318, 272, 1535, 317, 273, 1341, 536, 318, 271, 343, 269, 6911, 5472, 14170, 616, 17146, 547, 513, 1395, 6706, 835, 4110, 2362, 269, 3973, 267, 972, 616, 1079, 2665, 1384, 1892, 1403, 259, 321, 318, 278, 259, 529, 259, 271, 8961, 1287, 649, 723, 513, 9971, 540, 4110, 693, 1034, 476, 278, 543, 649, 616, 2944, 16963, 1892, 1403, 259, 321, 318, 278, 259, 529, 259, 272, 8961, 649, 666, 5372, 259, 343, 317, 279, 259, 2421, 259, 343, 317, 275, 1341, 1535, 317, 274, 1341, 1535, 1341, 476, 272, 259, 323, 1005, 519, 5786, 5123, 1384, 1607, 666, 581, 1031, 547, 2936, 513, 1360, 3608, 8691, 676, 259, 343, 259, 5976, 519, 31632, 6041, 1384, 272, 269, 589, 3787, 3772, 6442, 1479, 1111, 5106, 281, 630, 321, 24177, 476, 272, 264, 1299, 476, 271, 343, 742, 16963, 273, 269, 7427, 539, 676, 513, 19585, 1840, 609, 476, 272, 321, 952, 519, 1283, 3787, 540, 1269, 321, 259, 568, 1269, 272, 16859, 2080, 606, 1383, 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 ]
[ 27023, 626, 3220, 269, 623, 1177, 601, 808, 770, 516, 2692, 742, 630, 852, 693, 2506, 800, 2160, 538, 24611, 1070, 621, 729, 2966, 547, 581, 13950, 2687, 547, 513, 7453, 7014, 269, 4653, 267, 519, 2165, 13138, 307, 568, 1373, 1031, 547, 4766, 9168, 8747, 540, 713, 3797, 267, 543, 519, 7648, 1118, 4977, 4879, 540, 922, 7145, 2352, 269, 10572, 2090, 723, 4080, 9283, 538, 607, 1082, 607, 476, 3199, 260, 540, 2550, 609, 1164, 1790, 17097, 13046, 269, 769, 513, 3213, 577, 8735, 2689, 540, 519, 835, 19747, 4693, 602, 4553, 808, 770, 516, 2692, 742, 781, 7014, 543, 1558, 519, 3919, 781, 4441, 267, 13138, 307, 729, 1454, 811, 2500, 538, 4227, 13046, 10335, 543, 9659, 982, 513, 4480, 1572, 9633, 532, 630, 5408, 2630, 1916, 14085, 540, 891, 2126, 3681, 616, 6462, 676, 2257, 269, 3509, 1004, 616, 18617, 602, 519, 10786, 31470, 14150, 21536, 20899, 568, 5363, 267, 2705, 1804, 8397, 2090, 723, 1044, 8572, 547, 6961, 713, 269, 1703, 616, 1082, 9422, 9360, 19101, 547, 581, 13046, 14319, 269, 1452, 616, 2356, 513, 4999, 540, 11922, 543, 8324, 267, 1419, 1519, 13058, 267, 575, 1074, 2998, 267, 543, 6171, 645, 268, 1321, 563, 291, 2607, 338, 2593, 2488, 4977, 543, 4830, 1344, 593, 811, 982, 476, 2190, 267, 1822, 13310, 5061, 267, 936, 7308, 23716, 11955, 543, 2067, 2472, 269, 901, 1570, 568, 3177, 585, 3872, 5301, 1152, 543, 568, 711, 5497, 585, 2564, 5796, 267, 5868, 610, 2126, 269, 4578, 2959, 1331, 22126, 23846, 12130, 668, 539, 1410, 630, 1575, 13768, 476, 280, 3967, 476, 1001, 280, 1070, 31762, 1676, 5564, 636, 12814, 630, 1575, 13768, 476, 1691, 3967, 476, 1001, 280, 1070, 26728, 1562, 918, 1663, 4546, 12814, 630, 1575, 13768, 476, 278, 3967, 476, 1001, 280, 264, 543, 1866, 269, 28582, 547, 938, 21107, 3609, 585, 1543, 2959, 543, 5316, 1903, 563, 7021, 519, 2063, 476, 2412, 1296, 540, 8156, 2550, 7092, 689, 13046, 267, 972, 779, 1044, 835, 936, 519, 4831, 6646, 602, 814, 3254, 519, 6574, 9153, 269, 2755, 621, 3085, 1406, 1683, 8323, 585, 3025, 267, 594, 3136, 547, 1294, 606, 476, 9262, 260, 12117, 2557, 538, 1250, 2550, 269, 634, 2126, 267, 799, 1281, 711, 2154, 513, 13310, 267, 568, 1634, 607, 570, 11624, 6513, 543, 568, 2139, 2228, 693, 5291, 2517, 4178, 6745, 11624, 31553, 2593, 454, 4407, 621, 779, 9090, 711, 513, 10826, 676, 1022, 12701, 540, 519, 9345, 267, 952, 707, 13046, 1281, 711, 4431, 547, 570, 11624, 6513, 267, 6862, 568, 972, 1022, 30753, 5817, 2564, 2783, 267, 1287, 606, 2500, 1259, 547, 546, 3497, 856, 519, 4992, 538, 707, 2212, 568, 3842, 6846, 21109, 3457, 269, 1452, 3280, 18402, 267, 538, 9759, 267, 9633, 519, 4992, 540, 13046, 865, 602, 596, 5469, 873, 1447, 543, 666, 979, 827, 707, 3232, 1272, 1510, 2469, 21173, 936, 519, 30414, 18388, 532, 267, 627, 626, 1782, 610, 30366, 538, 707, 10772, 563, 307, 11624, 12805, 568, 5363, 547, 2697, 519, 4908, 543, 8515, 540, 519, 13046, 269, 901, 568, 513, 2241, 5650, 538, 799, 519, 24384, 6048, 4188, 338, 513, 3280, 2394, 513, 3461, 6920, 602, 621, 568, 519, 1482, 607, 741, 13046, 269, 4107, 2550, 6474, 741, 13046, 547, 519, 3148, 540, 741, 6217, 2530, 630, 298, 517, 580, 1696, 620, 267, 476, 1220, 277, 282, 10067, 321, 537, 6798, 1696, 620, 267, 476, 1001, 273, 1040, 10251, 267, 519, 834, 326, 777, 7020, 1449, 2580, 1281, 711, 960, 547, 6166, 13046, 538, 1208, 11274, 630, 289, 1195, 523, 1696, 620, 267, 476, 1001, 276, 1916, 2171, 5000, 596, 547, 2057, 4376, 602, 666, 1118, 707, 13046, 8338, 269, 1280, 3236, 267, 596, 949, 1616, 547, 2057, 7296, 267, 6704, 4568, 267, 610, 6947, 547, 10978, 21089, 269, 6271, 13390, 1081, 568, 4027, 269, 1403, 596, 2461, 513, 4070, 11832, 267, 19633, 11832, 267, 25433, 267, 610, 5781, 6534, 547, 10978, 6846, 267, 596, 1058, 5957, 2688, 1274, 680, 13903, 610, 2027, 1274, 332, 32332, 269, 2423, 4027, 4422, 513, 1279, 1259, 2509, 7303, 707, 13046, 689, 3478, 8338, 563, 307, 11624, 9775, 13497, 689, 1268, 547, 1268, 267, 865, 621, 568, 1271, 602, 596, 3643, 606, 24384, 6048, 547, 1451, 811, 827, 707, 1808, 6381, 269, 2368, 540, 519, 3123, 1267, 538, 8628, 13046, 543, 2154, 2126, 267, 1247, 1866, 16578, 10151, 13046, 602, 7106, 8986, 593, 922, 1378, 269, 1677, 1265, 856, 1018, 3123, 13046, 538, 707, 1808, 3510, 267, 3346, 14675, 28057, 24651, 4741, 2221, 563, 307, 11624, 568, 519, 6217, 540, 3280, 950, 1100, 5007, 3280, 568, 1459, 269, 2755, 1419, 4330, 607, 513, 30366, 267, 621, 949, 849, 3280, 899, 513, 14467, 267, 1010, 338, 610, 887, 2130, 269, 27824, 569, 267, 15458, 9739, 610, 2575, 616, 4862, 269, 634, 3280, 949, 581, 2571, 610, 10978, 267, 1970, 8486, 3481, 610, 1164, 8486, 3481, 543, 2408, 547, 581, 4947, 689, 835, 1274, 610, 1312, 269, 4107, 540, 519, 942, 267, 621, 2501, 593, 7930, 269, 769, 930, 1004, 267, 519, 3280, 3123, 4965, 610, 4160, 543, 666, 15936, 609, 5834, 563, 307, 11624, 5540, 1169, 4494, 540, 2486, 267, 543, 972, 814, 1044, 2810, 1489, 585, 4656, 269, 21298, 267, 12372, 945, 616, 4299, 676, 13046, 723, 2097, 1927, 547, 1711, 4656, 585, 519, 4524, 269, 20551, 1519, 18281, 9410, 540, 12019, 2452, 543, 4563, 661, 26191, 3212, 553, 723, 2813, 513, 28094, 17581, 547, 948, 6318, 7482, 2509, 4466, 513, 10826, 585, 13046, 269, 769, 519, 2136, 2276, 267, 519, 4972, 540, 16470, 814, 16539, 6634, 540, 9489, 883, 13753, 540, 13046, 3280, 11257, 269, 769, 1840, 267, 519, 1977, 570, 11624, 5948, 2306, 3646, 547, 25211, 519, 2475, 2229, 547, 1683, 1489, 585, 13046, 24412, 563, 306, 895, 18169, 570, 11624, 32192, 5549, 269, 9607, 519, 991, 585, 606, 2500, 13046, 2126, 676, 5356, 513, 24802, 24019, 267, 14350, 16419, 3280, 3797, 269, 634, 3280, 3797, 568, 1759, 593, 3056, 23798, 543, 13046, 1382, 602, 814, 1044, 3710, 883, 938, 3301, 547, 3132, 513, 2126, 602, 666, 581, 10375, 569, 9447, 3842, 1022, 2575, 4730, 3926, 269, 14675, 18169, 568, 849, 8185, 16539, 538, 2146, 6278, 269, 901, 2882, 18997, 543, 8757, 856, 547, 20650, 267, 25982, 781, 2516, 267, 543, 7128, 543, 23001, 7660, 12205, 267, 607, 891, 12415, 540, 938, 2551, 616, 1034, 4299, 676, 13046, 269, 14675, 18169, 568, 29287, 827, 5647, 543, 649, 616, 7683, 5275, 3209, 2081, 547, 948, 13046, 24412, 269, 3776, 2126, 814, 1044, 2966, 609, 519, 13046, 3411, 19907, 538, 2247, 281, 621, 568, 16990, 569, 2500, 267, 10097, 267, 543, 14350, 16419, 563, 19859, 341, 6018, 13496, 949, 3006, 2014, 13046, 269, 4340, 547, 23821, 710, 630, 1220, 277, 264, 519, 2298, 568, 2147, 547, 513, 834, 6943, 23116, 2580, 543, 621, 568, 4628, 26793, 676, 16087, 600, 1794, 788, 710, 269, 898, 4667, 547, 721, 602, 3210, 547, 16087, 600, 1794, 788, 710, 568, 711, 513, 6325, 13525, 540, 2890, 341, 6018, 13496, 607, 713, 3075, 11689, 3278, 13285, 543, 24506, 16796, 9770, 269, 11048, 267, 713, 2298, 540, 13046, 4440, 1175, 5809, 513, 4693, 540, 3404, 8364, 321, 600, 8872, 630, 320, 1447, 6757, 4528, 540, 16087, 600, 1794, 788, 710, 1916, 7197, 1004, 1020, 13046, 607, 513, 10835, 540, 6217, 2530, 269, 1879, 596, 6336, 6217, 267, 707, 2634, 25457, 2242, 538, 519, 1259, 621, 3157, 3280, 12451, 269, 589, 6217, 5351, 568, 513, 1507, 5907, 3926, 602, 3096, 513, 28416, 267, 24582, 267, 543, 10584, 547, 2333, 519, 4320, 540, 5007, 21089, 269, 901, 666, 30114, 1518, 5778, 27415, 2242, 538, 519, 2634, 779, 2702, 547, 1184, 3280, 563, 307, 11624, 568, 513, 1875, 2275, 9092, 267, 15865, 543, 27676, 6217, 4524, 602, 666, 1491, 593, 1082, 1114, 3029, 1107, 30366, 267, 1010, 28410, 267, 18388, 532, 267, 543, 1256, 519, 3280, 540, 524, 4459, 1115, 269, 20290, 3025, 814, 4810, 5618, 5712, 540, 7646, 13046, 267, 855, 585, 1082, 267, 713, 3280, 666, 581, 8628, 269, 3683, 476, 11740, 267, 1822, 23671, 1867, 7092, 689, 5312, 13046, 267, 543, 3592, 3368, 540, 1346, 616, 16094, 4299, 269, 272, 769, 519, 2475, 267, 936, 476, 1626, 2929, 13046, 24412, 3343, 2126, 1169, 1032, 269, 273, 570, 11624, 568, 519, 1297, 835, 9659, 3409, 585, 2475, 18884, 274, 543, 814, 849, 1831, 519, 1283, 9659, 3409, 585, 1699, 543, 5449, 5256, 25846, 6573, 2818, 269, 275, 901, 10770, 3280, 666, 723, 513, 3978, 1764, 593, 2298, 540, 1272, 282, 3056, 547, 3207, 22975, 267, 4965, 267, 4160, 267, 543, 1256, 11980, 269, 1548, 8591, 547, 519, 2591, 5185, 676, 13046, 24412, 568, 513, 3668, 540, 1702, 267, 1489, 543, 3681, 2139, 547, 873, 269, 10251, 267, 972, 616, 4867, 1932, 1906, 1072, 1416, 4648, 3246, 2533, 547, 13046, 24412, 945, 616, 5275, 2081, 547, 4383, 741, 13046, 269, 10251, 267, 519, 8360, 968, 16753, 547, 2661, 609, 621, 892, 568, 1869, 4862, 2484, 1932, 1419, 676, 1346, 602, 3343, 948, 585, 13046, 563, 11900, 18936, 540, 519, 552, 731, 5300, 949, 3006, 6542, 11029, 5322, 1813, 547, 19432, 540, 519, 21723, 1119, 332, 3966, 328, 630, 10870, 1156, 543, 28828, 345, 267, 476, 1220, 274, 1040, 32150, 1119, 332, 3966, 328, 1250, 16438, 517, 639, 3123, 513, 555, 18804, 269, 6271, 4887, 267, 519, 588, 777, 2664, 639, 267, 666, 849, 1118, 2362, 8486, 3481, 4992, 269, 6423, 713, 2985, 585, 811, 269, 14956, 2287, 610, 14656, 540, 519, 552, 755, 778, 1014, 8546, 3123, 513, 14467, 269, 634, 1655, 1259, 547, 5873, 834, 984, 11187, 13046, 257, 689, 519, 1647, 1274, 568, 3274, 547, 723, 606, 981, 10719, 609, 3339, 6217, 2322, 741, 1274, 909, 1985, 547, 519, 3461, 269, 853, 996, 8113, 8554, 3870, 1970, 4908, 4992, 543, 949, 711, 581, 1360, 5363, 563, 18814, 547, 519, 1804, 13260, 538, 13046, 267, 513, 835, 20695, 1922, 1080, 22433, 1935, 630, 553, 6035, 676, 9633, 619, 264, 786, 723, 3908, 2640, 269, 11569, 267, 972, 568, 2963, 602, 1373, 2111, 547, 21160, 513, 3280, 3797, 630, 324, 3052, 1421, 1210, 519, 13046, 12334, 610, 6217, 2530, 9043, 1070, 786, 1683, 3152, 2640, 278, 267, 279, 585, 13046, 24412, 269, 9717, 519, 2963, 5885, 713, 1899, 540, 3206, 543, 519, 7687, 540, 4540, 13046, 2359, 3681, 267, 649, 941, 9141, 547, 1020, 543, 22759, 3585, 1449, 606, 11791, 267, 10531, 3280, 3797, 602, 814, 1761, 547, 1683, 9434, 8323, 547, 13046, 24412, 563, 307, 11624, 24412, 1034, 1419, 13712, 2566, 607, 519, 2014, 540, 741, 2783, 269, 2755, 621, 779, 3020, 21089, 616, 9228, 811, 8650, 569, 950, 596, 616, 13029, 267, 972, 568, 1100, 3621, 4493, 585, 6031, 2566, 3123, 13046, 269, 1809, 519, 9258, 568, 9090, 3020, 2443, 6217, 513, 3586, 6846, 538, 707, 10772, 666, 6157, 2014, 2566, 543, 4160, 267, 543, 1256, 1291, 547, 4965, 538, 930, 2665, 563, 290, 1735, 1088, 532, 2337, 596, 1451, 875, 547, 2661, 609, 707, 13046, 269, 4107, 13508, 3292, 723, 606, 3872, 5057, 547, 948, 596, 1174, 1018, 4422, 593, 538, 519, 2634, 547, 2014, 13046, 269, 2368, 13508, 3292, 849, 786, 948, 596, 1689, 519, 1259, 596, 1589, 827, 543, 2746, 547, 707, 13046, 269, 1411, 1522, 1451, 930, 1919, 547, 798, 593, 707, 1378, 547, 1118, 519, 6846, 1447, 18476, 267, 547, 948, 596, 6001, 1282, 519, 1554, 267, 610, 547, 2887, 18069, 693, 3781, 563, 26589, 519, 2619, 513, 6217, 5365, 12599, 547, 1205, 689, 519, 6418, 1274, 547, 519, 2634, 267, 972, 616, 1082, 4025, 1141, 1919, 666, 979, 4636, 547, 2014, 13046, 269, 1403, 3744, 666, 1174, 1018, 4422, 593, 538, 519, 2634, 547, 1376, 13046, 543, 2014, 621, 547, 6414, 267, 789, 666, 1413, 585, 1346, 4025, 538, 519, 1062, 1141, 513, 9354, 6304, 1223, 3247, 13046, 538, 922, 13475, 563, 28061, 932, 15543, 22603, 267, 12854, 568, 519, 13653, 540, 14675, 18169, 570, 11624, 32192, 5549, 269, 3571, 11428, 547, 5355, 519, 2729, 540, 13046, 24412, 11479, 1010, 5075, 540, 3246, 2500, 267, 10097, 543, 3015, 5574, 585, 519, 1082, 13046, 24412, 646, 814, 1558, 2429, 1010, 1382, 4876, 269, 2060, 936, 476, 279, 1296, 540, 1382, 538, 519, 2361, 540, 13046, 543, 21769, 609, 3401, 538, 519, 2361, 267, 3220, 269, 932, 15543, 22603, 729, 2111, 547, 1118, 946, 540, 5969, 12967, 1382, 547, 1020, 3301, 602, 666, 21160, 606, 2500, 543, 2123 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 608, 273, 339, 1258, 781, 5816, 912, 258, 5291, 2517, 1410, 273, 339, 1258, 9884, 836, 692, 5035, 8827, 912, 825, 1219, 2262, 15031, 1181, 4311, 267, 4806, 267, 1193, 2187, 1038, 8173, 1038, 2433, 6943, 4806, 281, 1193, 454, 1038, 2433, 6943, 1193, 281, 1193, 454, 1038, 2433, 337, 6943, 281, 536, 944, 454, 1038, 8173, 1038, 1193, 24512, 815, 1193, 21858, 4590, 1038, 952, 7003, 19304, 24512, 264, 11203, 7003, 263, 6312, 1181, 2187, 2018, 2132, 8771, 454, 1038, 9598, 338, 815, 31460, 1038, 585, 1775, 538, 2039, 12759, 263, 6312, 1181, 15892, 2018, 952, 4806, 5157, 316, 538, 9598, 338, 269, 12399, 10031, 3546, 952, 9598, 338, 314, 6312, 1181, 5157, 14963, 11203, 1193, 24512, 5157, 14158, 7386, 2132, 8771, 454, 2018, 8640, 1193, 24512, 5157, 316, 538, 9598, 338, 269, 11161, 10031, 3546, 2132, 8771, 454, 2018, 9598, 338, 314, 6312, 1181, 5157, 14963, 815, 1193, 24512, 5157, 6540, 1038, 2132, 6936, 7531, 2745, 263, 11405, 14061, 5320, 15031, 1181, 2891, 629, 9346, 2580, 834, 27594, 3032, 3032, 2915, 27363, 0, 5814, 19523, 454, 5814, 795, 5459, 454, 5228, 10070, 1104, 22388, 7531, 3698, 1292, 10031, 825, 512, 11548, 12774, 815, 1930, 4433, 903, 27769, 341, 314, 272, 7481, 825, 814, 6255, 4711, 27133, 815, 31460, 825, 585, 1899, 538, 512, 11548, 12774, 912, 1038, 512, 11548, 815, 795, 5459, 269, 2903, 338, 263, 1467, 994, 1038, 952, 834, 550, 885, 257, 538, 512, 11548, 912, 2018, 9988, 815, 512, 11548, 14277, 550, 885, 31116, 2018, 814, 6255, 4711, 30648, 318, 1467, 815, 9988, 14277, 327, 1662, 15912, 257, 6540, 2018, 585, 814, 6255, 698, 538, 814, 6255, 4711, 30648, 318, 1467, 912, 3546, 1257, 815, 814, 6255, 698, 14277, 3667, 31116, 3546, 952, 1257, 538, 814, 6255, 4711, 27133, 269, 12399, 10031, 7386, 814, 6255, 4711, 27133, 314, 3667, 316, 6834, 476, 272, 454, 3546, 3116, 912, 7386, 814, 6255, 4711, 27133, 314, 3667, 316, 815, 476, 272, 692, 825, 15044, 20189, 1662, 15912, 815, 22388, 22607, 1662, 15912, 27133, 994, 825, 1283, 318, 1084, 815, 15044, 20189, 1662, 15912, 269, 2865, 318, 21720, 263, 1015, 994, 825, 585, 1283, 538, 1283, 318, 1084, 912, 1038, 1820, 6025, 641, 314, 271, 316, 1341, 834, 834, 1341, 1193, 6025, 641, 314, 272, 8079, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 3890, 0, 2745, 2891, 288, 568, 1590, 581, 5044, 543, 5225, 946, 2073, 585, 694, 704, 622, 5602, 3240, 6783, 815, 3403, 2891, 288, 281, 20257, 20889, 2891, 2437, 994, 2745, 2891, 298, 568, 1590, 581, 8870, 5602, 3240, 15759, 518, 815, 703, 9272, 2891, 298, 281, 8442, 2020, 2908, 24512, 815, 1250, 6783, 6983, 4878, 4590, 1721, 1535, 538, 2039, 12759, 30044, 6783, 15892, 453, 2908, 24512, 27007, 343, 1341, 1250, 15759, 518, 264, 4939, 7003, 30044, 6783, 13580, 815, 1250, 6783, 20572, 6540, 2745, 28956, 24512, 264, 0, 5228, 8454, 1104, 26271, 692, 11133, 1499, 815, 18358, 272, 12887, 273, 12887, 274, 12887, 275, 12887, 276, 12887, 277, 12887, 278, 12887, 279, 12887, 280, 23300, 325, 10330, 815, 11713, 1721, 1775, 538, 2338, 912, 22610, 795, 538, 2338, 912, 453, 22610, 737, 538, 2338, 912, 4848, 22610, 561, 538, 2338, 912, 15235, 14851, 703, 9217, 266, 329, 264, 285, 842, 17347, 266, 331, 2187, 20930, 453, 19874, 454, 15235, 453, 321, 8962, 815, 1496, 328, 2525, 330, 267, 328, 2525, 331, 25814, 2525, 330, 25814, 2525, 331, 2639, 15235, 14851, 1775, 11203, 795, 543, 737, 11203, 561, 543, 1775, 266, 329, 11203, 737, 266, 331, 543, 1022, 6357, 8962, 2187, 20930, 453, 333, 10179, 1807, 815, 703, 9217, 266, 329, 12684, 272, 269, 271, 454, 20930, 453, 6577, 7631, 1807, 815, 703, 17347, 266, 331, 12684, 272, 269, 271, 454, 20930, 453, 325, 815, 1496, 271, 267, 271, 267, 271, 267, 271, 2639, 20930, 453, 325, 314, 271, 316, 815, 476, 272, 269, 271, 265, 842, 9217, 8358, 842, 17347, 994, 20930, 453, 325, 314, 272, 316, 815, 476, 272, 269, 271, 265, 842, 27203, 8358, 842, 17347, 994, 20930, 453, 325, 314, 273, 316, 815, 476, 272, 269, 271, 265, 842, 9217, 8358, 842, 10857, 994, 20930, 453, 325, 314, 274, 316, 815, 476, 272, 269, 271, 265, 842, 27203, 8358, 842, 10857, 994, 20930, 22610, 7329, 343, 538, 2039, 263, 271, 267, 275, 2187, 4848, 15235, 14851, 19362, 270, 6577, 7631, 1807, 2652, 535, 314, 30915, 316, 543, 536, 8962, 314, 30915, 14158, 20930, 4848, 453, 325, 10330, 6910, 9230, 333, 10179, 1807, 267, 6577, 7631, 1807, 4917, 28237, 815, 476, 272, 454, 1721, 9992, 538, 8454, 912, 453, 28237, 815, 1587, 2608, 9992, 314, 271, 316, 270, 325, 337, 314, 272, 2639, 2745, 834, 12585, 24333, 26271, 269, 5228, 318, 15615, 9638, 6055, 1040, 3916, 527, 5091, 523, 7631, 1807, 263, 7742, 264, 0, 5320, 815, 6151, 17750, 2891, 11767, 519, 2262, 281, 19515, 2908, 29999, 815, 834, 4840, 322, 3300, 815, 7003, 27182, 264, 910, 476, 272, 454, 6112, 4831, 476, 13843, 476, 271, 912, 476, 1007, 29999, 815, 1007, 29999, 1341, 630, 5320, 314, 322, 3300, 7481, 476, 4831, 20699, 476, 272, 692, 604, 1007, 29999, 2652, 2262, 912, 1820, 2262, 1341, 834, 568, 513, 5493, 30308, 4799, 0, 26611, 23591, 24800, 270, 7090, 454, 258, 13878, 295, 276, 3451, 7089, 7869, 692, 5814, 556, 692, 258, 25275, 4499, 2525, 284, 16482, 258, 22417, 689, 5022, 547, 9704, 1110, 476, 2918, 1948, 454, 258, 25275, 4499, 2525, 284, 16482, 12072, 2414, 291, 13424, 815, 27835, 288, 262, 2433, 476, 272, 2676, 20930, 1412, 289, 262, 2433, 476, 273, 2676, 20930, 1412, 290, 262, 2433, 476, 274, 2676, 20930, 1412, 291, 262, 2433, 476, 275, 2676, 20930, 1412, 292, 262, 2433, 476, 276, 2676, 20930, 1412, 293, 262, 2433, 476, 277, 2676, 20930, 1412, 294, 262, 2433, 476, 278, 2676, 20930, 1412, 295, 262, 2433, 476, 279, 2676, 20930, 1412, 296, 262, 2433, 476, 280, 2676, 20930, 1412, 297, 262, 2433, 476, 1015, 2676, 20930, 1412, 298, 262, 2433, 476, 1556, 2676, 20930, 1412, 299, 262, 2433, 476, 1321, 2676, 20930, 1412, 300, 262, 2433, 476, 1724, 2676, 20930, 1412, 301, 262, 2433, 476, 1691, 2676, 20930, 1412, 302, 262, 2433, 476, 1428, 2676, 20930, 1412, 303, 262, 2433, 476, 1626, 2676, 20930, 1412, 304, 262, 2433, 476, 1704, 2676, 20930, 1412, 305, 262, 2433, 476, 1240, 2676, 20930, 1412, 306, 262, 2433, 476, 866, 2676, 20930, 1412, 307, 262, 2433, 476, 736, 2676, 20930, 1412, 308, 262, 2433, 476, 2641, 2676, 20930, 1412, 309, 262, 2433, 476, 2420, 2676, 20930, 1412, 310, 262, 2433, 476, 2537, 2676, 20930, 1412, 311, 262, 2433, 476, 2190, 2676, 20930, 1412, 312, 262, 2433, 476, 1839, 2676, 20930, 1412, 313, 262, 2433, 476, 271, 10926, 258, 22417, 689, 9704, 1110, 476, 2918, 547, 5022, 454, 323, 13424, 2414, 4131, 614, 815, 9598, 263, 516, 951, 539, 263, 14403, 264, 585, 6221, 538, 4484, 2414, 291, 13424, 29096, 31156, 258, 6744, 24740, 1063, 4484, 543, 7857, 454, 258, 1820, 4484, 2414, 291, 13424, 29096, 4590, 258, 1820, 7857, 2414, 4131, 614, 29096, 10797, 258, 13117, 7529, 16482, 258, 9717, 4908, 7515, 1948, 454, 258, 13117, 7529, 16482, 258, 20587, 720, 12136, 540, 5022, 540, 519, 9904, 538, 513, 3732, 1257, 454, 325, 516, 336, 8368, 272, 815, 2715, 453, 262, 288, 262, 2433, 476, 278, 269, 274, 2676, 15235, 453, 262, 289, 262, 2433, 476, 271, 269, 280, 2676, 15235, 453, 262, 290, 262, 2433, 476, 274, 269, 271, 2676, 15235, 453, 262, 291, 262, 2433, 476, 275, 269, 275, 2676, 15235, 453, 262, 292, 262, 2433, 476, 1724, 269, 271, 2676, 15235, 453, 262, 293, 262, 2433, 476, 273, 269, 279, 2676, 15235, 453, 262, 294, 262, 2433, 476, 272, 269, 277, 2676, 15235, 453, 262, 295, 262, 2433, 476, 274, 269, 276, 2676, 15235, 453, 262, 296, 262, 2433, 476, 278, 269, 275, 2676, 15235, 453, 262, 297, 262, 2433, 476, 271, 269, 273, 2676, 15235, 453, 262, 298, 262, 2433, 476, 271, 269, 274, 2676, 15235, 453, 262, 299, 262, 2433, 476, 274, 269, 276, 2676, 15235, 453, 262, 300, 262, 2433, 476, 273, 269, 276, 2676, 15235, 453, 262, 301, 262, 2433, 476, 278, 269, 279, 2676, 15235, 453, 262, 302, 262, 2433, 476, 278, 269, 275, 2676, 15235, 453, 262, 303, 262, 2433, 476, 273, 269, 278, 2676, 15235, 453, 262, 304, 262, 2433, 476, 271, 269, 274, 2676, 15235, 453, 262, 305, 262, 2433, 476, 278, 269, 278, 2676, 15235, 453, 24202, 262, 2433, 476, 277, 269, 274, 2676, 15235, 453, 31415, 262, 2433, 476, 280, 269, 274, 2676, 15235, 453, 262, 308, 262, 2433, 476, 273, 269, 278, 2676, 15235, 453, 262, 309, 262, 2433, 476, 272, 269, 274, 2676, 15235, 453, 262, 310, 262, 2433, 476, 272, 269, 277, 2676, 15235, 453, 262, 311, 262, 2433, 476, 271, 269, 276, 2676, 15235, 453, 262, 312, 262, 2433, 476, 272, 269, 280, 2676, 15235, 453, 262, 313, 262, 2433, 476, 271, 269, 272, 10926, 258, 4107, 7928, 2007, 1429, 338, 630, 719, 540, 476, 3199, 267, 1822, 3197, 540, 1257, 994, 325, 516, 336, 8368, 273, 815, 2715, 453, 31415, 295, 262, 2433, 476, 21327, 272, 2676, 15235, 453, 262, 4047, 262, 2433, 476, 13078, 274, 2676, 15235, 453, 262, 2562, 262, 2433, 476, 14028, 271, 2676, 15235, 453, 262, 2207, 262, 2433, 476, 16960, 277, 2676, 15235, 453, 262, 3918, 262, 2433, 476, 12553, 271, 2676, 15235, 453, 262, 2177, 262, 2433, 476, 11277, 273, 2676, 15235, 453, 262, 3198, 262, 2433, 476, 13199, 277, 2676, 15235, 453, 262, 2894, 262, 2433, 476, 9083, 280, 2676, 15235, 453, 262, 2969, 262, 2433, 476, 6200, 280, 2676, 15235, 453, 262, 2464, 262, 2433, 476, 280, 1704, 2676, 15235, 453, 262, 3633, 262, 2433, 476, 279, 3445, 2676, 15235, 453, 31415, 292, 262, 2433, 476, 279, 7761, 2676, 15235, 453, 31415, 296, 262, 2433, 476, 279, 4792, 2676, 15235, 453, 262, 3036, 262, 2433, 476, 279, 8618, 2676, 15235, 453, 24202, 307, 262, 2433, 476, 279, 2537, 2676, 15235, 453, 262, 2752, 262, 2433, 476, 278, 5038, 2676, 15235, 453, 262, 21254, 262, 2433, 476, 278, 8618, 2676, 15235, 453, 31415, 302, 262, 2433, 476, 4037, 277, 10926, 258, 22039, 1293, 540, 4645, 1429, 338, 630, 514, 476, 3199, 267, 1822, 1915, 1257, 994, 325, 516, 336, 8368, 274, 815, 2715, 453, 31415, 4047, 262, 2433, 476, 14378, 278, 2676, 15235, 453, 262, 13263, 262, 2433, 476, 4366, 274, 2676, 15235, 453, 31415, 22473, 262, 2433, 476, 29575, 2676, 15235, 453, 262, 288, 2316, 262, 2433, 476, 27868, 2676, 15235, 453, 262, 19489, 262, 2433, 476, 29257, 2676, 15235, 453, 31415, 11190, 262, 2433, 476, 14838, 2676, 15235, 453, 31415, 2207, 262, 2433, 476, 22446, 2676, 15235, 453, 262, 3918, 306, 262, 2433, 476, 25546, 2676, 15235, 453, 262, 16730, 262, 2433, 476, 18891, 2676, 15235, 453, 262, 25321, 262, 2433, 476, 18684, 2676, 15235, 453, 31415, 3633, 262, 2433, 476, 6942, 2676, 15235, 453, 262, 26376, 262, 2433, 476, 6977, 10926, 258, 10500, 710, 29905, 11305, 1712, 912, 258, 524, 815, 3284, 1341, 536, 630, 7116, 476, 2918, 994, 258, 524, 815, 29905, 1257, 454, 258, 533, 815, 10750, 1257, 454, 258, 513, 267, 536, 6378, 21635, 269, 630, 320, 267, 2918, 264, 815, 476, 272, 454, 3698, 3413, 710, 9638, 267, 513, 267, 536, 2187, 16596, 16733, 320, 265, 335, 1341, 536, 264, 4939, 476, 2918, 2020, 3698, 18287, 11372, 1103, 341, 5416, 2187, 22610, 1775, 538, 2039, 263, 272, 267, 476, 2918, 2187, 453, 14851, 16733, 320, 265, 328, 264, 4939, 476, 2918, 2652, 476, 272, 2187, 4848, 16596, 1775, 692, 3698, 1490, 1393, 2690, 576, 263, 21459, 290, 10757, 17806, 2187, 22610, 513, 538, 2009, 288, 912, 453, 22610, 536, 538, 2009, 289, 912, 4848, 13537, 834, 263, 320, 14720, 2567, 2580, 513, 267, 536, 454, 4848, 453, 16059, 815, 834, 4840, 4848, 22610, 1775, 538, 2039, 263, 271, 267, 7003, 263, 21459, 290, 10757, 17806, 15892, 15235, 453, 322, 815, 4484, 2414, 291, 13424, 314, 21459, 290, 10757, 17806, 5157, 27663, 15235, 453, 16059, 6834, 7857, 2414, 4131, 614, 27007, 20123, 1103, 341, 314, 320, 316, 16732, 322, 910, 536, 4297, 4939, 476, 2918, 2639, 4848, 453, 258, 1820, 834, 2668, 21860, 5560, 13424, 2414, 4131, 614, 27007, 20123, 1103, 341, 314, 320, 316, 16732 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1631, 723, 513, 1732, 1620, 540, 875, 21888, 530, 24548, 960, 543, 519, 2956, 540, 7863, 707, 6051, 8360, 269, 5457, 267, 952, 2576, 4991, 1569, 547, 707, 6051, 8360, 267, 789, 786, 581, 2111, 547, 11177, 543, 1569, 707, 23129, 1519, 782, 540, 707, 4357, 10569, 269, 1403, 789, 723, 1569, 547, 707, 10569, 267, 789, 723, 1569, 547, 707, 21888, 269, 898, 3884, 1406, 4502, 2921, 1022, 31930, 609, 707, 23129, 3354, 256, 13773, 2922, 856, 972, 269, 0, 4407, 7526, 14556, 1881, 2282, 2098, 8388, 714, 327, 807, 267, 2342, 779, 4102, 6046, 1379, 2030, 267, 1141, 6576, 3576, 1852, 538, 12907, 267, 15231, 2197, 27718, 13960, 16865, 835, 2929, 22752, 21447, 1996, 2009, 5982, 24694, 563, 1103, 27718, 13960, 267, 799, 814, 513, 2551, 540, 5111, 476, 273, 269, 276, 2929, 267, 519, 2229, 814, 24016, 4961, 711, 547, 11784, 543, 16219, 547, 3761, 2614, 22752, 21447, 1996, 2009, 5982, 24694, 563, 763, 27718, 990, 534, 2817, 5398, 2657, 10837, 9307, 602, 891, 21447, 786, 581, 7856, 547, 6595, 4600, 1101, 538, 519, 2680, 540, 513, 6046, 9568, 563, 763, 27718, 990, 534, 5113, 10837, 18715, 602, 519, 5982, 1377, 568, 7683, 6027, 563, 763, 1101, 16801, 540, 22752, 21447, 1996, 5982, 24694, 547, 27718, 13960, 267, 799, 814, 513, 8473, 609, 12907, 543, 568, 1152, 476, 21878, 12919, 2476, 689, 519, 2098, 8388, 9926, 1506, 324, 6046, 1379, 2030, 267, 8452, 538, 27597, 607, 513, 9886, 563, 1103, 4728, 267, 519, 3864, 5742, 4956, 547, 6006, 335, 850, 8825, 3937, 543, 2556, 11955, 538, 13557, 538, 2013, 540, 513, 6046, 9568, 563, 288, 5619, 5342, 538, 4728, 7000, 602, 476, 736, 9167, 4759, 2829, 1185, 6190, 13632, 540, 22752, 21447, 1354, 519, 12907, 2112, 563, 2005, 568, 1634, 602, 1346, 945, 21078, 610, 960, 538, 2127, 909, 547, 476, 736, 12919, 689, 6046, 6703, 538, 9167, 2818, 616, 2838, 547, 723, 891, 21447, 563, 292, 2202, 779, 4102, 6046, 1379, 2030, 454, 763, 2098, 8388, 9926, 1506, 324, 17437, 5295, 7233, 538, 519, 22703, 540, 12907, 568, 519, 4102, 6046, 1379, 2030, 538, 2342, 563, 763, 1379, 2030, 267, 799, 814, 476, 277, 6046, 26119, 543, 814, 606, 5201, 2504, 4390, 540, 476, 276, 267, 10384, 19251, 1177, 3430, 3620, 2293, 267, 2488, 476, 736, 2600, 540, 519, 2698, 5201, 538, 12907, 563, 763, 2098, 8388, 714, 327, 807, 17437, 5295, 7233, 729, 9676, 676, 519, 28592, 593, 4728, 476, 275, 269, 5794, 16716, 616, 2921, 1747, 1472, 519, 2030, 267, 799, 568, 4867, 896, 519, 1852, 540, 519, 6739, 7952, 269, 12907, 543, 6576, 16620, 1142, 824, 585, 891, 6285, 269, 0, 288, 1007, 1032, 814, 13175, 543, 609, 21368, 538, 1164, 3937, 267, 1082, 2043, 616, 1547, 16462, 547, 2087, 741, 2489, 1072, 269, 2986, 782, 519, 5227, 2994, 585, 1547, 8165, 4576, 543, 5009, 25525, 267, 1906, 616, 607, 1271, 543, 3573, 607, 1547, 519, 2259, 540, 2635, 4189, 269, 769, 2489, 267, 621, 568, 1655, 547, 1246, 513, 2898, 3536, 1547, 2732, 1544, 602, 568, 3638, 538, 5214, 5613, 543, 19787, 269, 3371, 616, 476, 275, 1455, 1547, 1379, 32103, 338, 602, 594, 2303, 585, 1072, 267, 25525, 543, 1134, 1373, 563, 8512, 7781, 5686, 540, 522, 1176, 3165, 5351, 547, 2539, 11926, 538, 519, 1560, 602, 1547, 666, 1291, 547, 2295, 2042, 269, 12551, 568, 849, 10731, 538, 6171, 667, 543, 15060, 268, 274, 9761, 1547, 7408, 267, 799, 4324, 2634, 543, 2295, 1599, 269, 1547, 2368, 5686, 540, 3165, 971, 607, 16356, 267, 18156, 8127, 543, 5672, 651, 7758, 1522, 723, 3152, 1547, 2157, 540, 16035, 267, 20111, 338, 630, 335, 8432, 18608, 3990, 536, 760, 1156, 2643, 338, 1070, 1019, 2135, 1231, 267, 543, 824, 1547, 8733, 23606, 269, 898, 568, 1655, 547, 15666, 547, 2010, 602, 616, 1970, 538, 1547, 16035, 971, 607, 3552, 13687, 267, 3542, 1442, 543, 521, 731, 1149, 269, 715, 7491, 543, 454, 10932, 2982, 602, 2043, 945, 3548, 1880, 5686, 540, 10808, 22991, 723, 454, 269, 513, 2539, 3463, 540, 9591, 2295, 1966, 269, 7352, 7724, 971, 607, 9267, 22756, 267, 30646, 454, 269, 543, 8478, 10808, 616, 930, 540, 519, 1360, 1655, 2030, 2959, 540, 3940, 543, 2874, 540, 1164, 454, 269, 9424, 540, 6775, 267, 32443, 2023, 19153, 543, 4550, 268, 31038, 1218, 971, 607, 6171, 661, 543, 454, 269, 31093, 269, 769, 1840, 547, 10808, 267, 5452, 454, 269, 971, 607, 30485, 5452, 543, 30011, 5452, 1683, 930, 540, 519, 1482, 2295, 1072, 454, 269, 5383, 269, 27124, 7219, 5452, 616, 11338, 2067, 2959, 540, 19719, 267, 11254, 7408, 454, 269, 543, 5667, 18260, 9761, 7408, 267, 543, 2874, 540, 13058, 267, 7513, 267, 11379, 267, 543, 454, 269, 8485, 5387, 799, 1118, 873, 3730, 585, 17150, 543, 15485, 1072, 563, 294, 5424, 568, 606, 3730, 3597, 585, 7393, 1426, 12536, 543, 16715, 11926, 269, 1547, 898, 814, 1279, 1044, 1031, 607, 513, 2067, 2126, 585, 897, 1091, 543, 519, 2770, 607, 1134, 607, 1547, 7181, 1166, 639, 610, 16063, 4524, 267, 6035, 519, 2318, 2360, 20909, 814, 593, 519, 1547, 16063, 1062, 269, 769, 1840, 267, 2090, 723, 2965, 3254, 602, 20909, 8869, 1522, 16578, 1591, 1547, 2669, 538, 25073, 2860, 2281, 269, 717, 5424, 568, 849, 7000, 547, 581, 606, 2500, 1928, 330, 14525, 1547, 543, 666, 581, 1031, 547, 13468, 29463, 543, 31264, 563, 299, 1824, 540, 16392, 17228, 616, 3638, 538, 12498, 25322, 1075, 753, 267, 799, 616, 19729, 1547, 30713, 30828, 602, 4217, 547, 2087, 4187, 267, 2539, 3983, 25928, 8501, 543, 1547, 4383, 1973, 7280, 2157, 269, 1452, 6225, 7135, 723, 849, 1044, 7000, 547, 1547, 5818, 27104, 720, 2534, 267, 799, 568, 1271, 585, 535, 2056, 1055, 3968, 269, 769, 1547, 1840, 547, 16392, 17228, 971, 607, 695, 328, 527, 820, 610, 556, 31381, 17228, 267, 2596, 11477, 1547, 2010, 971, 3043, 7735, 17228, 1331, 6878, 602, 2061, 519, 2534, 1547, 540, 12906, 520, 848, 630, 534, 11747, 3238, 538, 21110, 2504, 264, 543, 476, 276, 268, 10401, 3146, 2265, 848, 1547, 630, 534, 11747, 602, 17838, 19697, 547, 667, 12487, 1916, 30144, 4189, 666, 3533, 581, 513, 17598, 851, 540, 707, 1259, 540, 1272, 269, 1306, 1547, 596, 3136, 707, 20174, 547, 27357, 3681, 593, 707, 1378, 593, 1169, 1377, 267, 1547, 596, 786, 581, 30039, 609, 32689, 1072, 543, 513, 1978, 6418, 10103, 602, 1547, 4386, 689, 1373, 22992, 16138, 1639, 543, 13854, 269, 1280, 811, 3877, 827, 1547, 5230, 4496, 17219, 543, 26349, 283, 708, 326, 521, 21683, 6889, 4179, 2517, 6339, 278, 1556, 269, 7773, 11320, 335, 9762, 550, 270, 340, 22744, 338, 270, 1708, 272, 270, 5400, 270, 298, 3722, 326, 21589, 3052, 604, 257, 5621, 6889, 5131, 3115, 11781, 15080, 257, 8473, 6889, 476, 271, 257, 270, 3436, 267, 3643, 8940, 6155, 7758, 27927, 3820, 270, 3832, 3175, 3146, 1636, 256, 269, 286, 23511, 269, 910, 918, 16587, 10791, 1544, 16639, 0, 15507, 998, 938, 5399, 540, 6030, 267, 2824, 513, 7121, 596, 1522, 581, 5461, 538, 267, 946, 519, 3406, 3046, 267, 610, 6882, 3681, 593, 519, 2451, 2427, 540, 519, 2985, 563, 17843, 2747, 543, 21934, 13783, 616, 2474, 602, 616, 1031, 5176, 1169, 1554, 538, 606, 3872, 1604, 269, 1358, 616, 1031, 865, 1419, 602, 3006, 621, 949, 3100, 899, 789, 1223, 1611, 1175, 827, 4376, 269, 769, 713, 1576, 267, 649, 786, 1491, 513, 2620, 4685, 883, 1018, 4010, 891, 1913, 1611, 267, 1946, 789, 616, 1271, 2645, 585, 3610, 543, 1053, 267, 543, 875, 649, 666, 946, 891, 2994, 1034, 3927, 538, 519, 4928, 563, 5978, 661, 17247, 1053, 723, 865, 1082, 1114, 7924, 3334, 547, 1445, 593, 267, 10539, 568, 3808, 547, 2049, 269, 2755, 2942, 4483, 568, 513, 2067, 12136, 267, 972, 616, 1082, 2081, 649, 666, 2057, 621, 269, 15012, 721, 547, 3605, 930, 2081, 547, 948, 938, 1053, 1118, 519, 5912, 547, 513, 1007, 1893, 607, 5347, 607, 2009, 563, 8450, 875, 2029, 666, 2087, 519, 2298, 540, 707, 1788, 2861, 1565, 2238, 269, 6258, 875, 547, 2936, 623, 13993, 2238, 547, 3895, 2565, 3206, 267, 2792, 267, 543, 5698, 609, 707, 13673, 299, 270, 21822, 1053, 269, 769, 713, 1576, 267, 596, 786, 1451, 875, 547, 946, 1585, 2645, 547, 3895, 519, 1883, 2609, 540, 623, 13993, 267, 971, 607, 1382, 267, 5698, 267, 11018, 630, 663, 7421, 264, 5955, 267, 543, 9306, 1702, 538, 707, 4928, 563, 2171, 2461, 20994, 267, 1100, 2164, 941, 1336, 269, 9320, 2119, 10478, 513, 1114, 2165, 563, 5970, 606, 7525, 2243, 286, 13555, 721, 2047, 693, 476, 272, 268, 279, 4510, 268, 29300, 268, 6977, 272, 454, 19445, 6732, 12501, 5874, 454, 19350, 616, 930, 2442, 7913, 11819, 12501, 5874, 602, 616, 2139, 607, 513, 3126, 540, 2228, 6030, 269, 8437, 593, 513, 20446, 547, 1376, 707, 13995, 3950, 2221, 256, 0, 763, 4750, 540, 15979, 476, 279, 630, 272, 2567, 6795, 268, 4037, 630, 1220, 275, 994, 20082, 2467, 616, 1114, 5686, 540, 18483, 607, 972, 616, 540, 2112, 269, 898, 568, 10002, 619, 24070, 547, 1118, 519, 20982, 13389, 540, 21127, 513, 10747, 4183, 540, 18483, 267, 543, 2829, 607, 1134, 607, 1875, 15581, 2516, 666, 4497, 538, 18483, 269, 769, 513, 9111, 267, 17037, 3743, 585, 513, 2229, 779, 24407, 16666, 4507, 616, 711, 8209, 17608, 267, 1247, 931, 5296, 338, 616, 16048, 9072, 269, 13298, 982, 1373, 19918, 693, 549, 4109, 267, 18483, 1034, 20998, 1507, 2112, 269, 898, 568, 711, 2141, 610, 8209, 811, 25432, 24407, 16666, 982, 2112, 269, 2353, 2112, 1058, 581, 14284, 267, 855, 930, 2112, 568, 811, 24407, 16666, 982, 824, 2112, 269, 10313, 762, 21520, 1058, 581, 1500, 827, 18483, 269, 898, 568, 3617, 547, 5635, 21127, 7166, 676, 1346, 5275, 2797, 1689, 543, 1346, 1210, 5208, 547, 2061, 971, 1689, 269, 6884, 519, 7521, 1058, 1445, 593, 519, 1175, 604, 6636, 610, 3668, 540, 621, 540, 519, 6663, 8179, 269, 2755, 5208, 1058, 2141, 581, 1031, 607, 2370, 607, 2009, 267, 1346, 538, 1379, 616, 3743, 585, 1818, 824, 1797, 982, 5208, 2500, 538, 8236, 1175, 16666, 2797, 1689, 269, 1879, 6236, 519, 2693, 3123, 540, 5208, 267, 835, 602, 814, 4607, 16283, 3007, 568, 1208, 559, 2747, 269, 9966, 559, 2747, 568, 711, 519, 1482, 607, 17847, 269, 6970, 6748, 1208, 559, 2747, 666, 543, 1058, 581, 14284, 563, 3849, 4765, 547, 26076, 454, 23208, 3113, 540, 28085, 454, 290, 14591, 540, 713, 960, 454, 3674, 28015, 1143, 5651, 958, 5940, 3307, 633, 286, 21579, 3241, 2480, 515, 742, 2401, 910, 476, 1220, 277, 910, 4750, 540, 11572, 13898, 476, 1691, 630, 272, 2567, 272, 268, 1704, 563, 1432, 568, 28015, 1143, 267, 4208, 568, 898, 654, 3994, 267, 543, 16393, 898, 17451, 2142, 5651, 958, 18983, 24777, 286, 2704, 2581, 631, 269, 808, 698, 3258, 910, 476, 1220, 276, 910, 4750, 540, 4317, 13898, 476, 3607, 630, 273, 2567, 1708, 1700, 24241, 563, 297, 639, 1520, 13852, 636, 2991, 476, 280, 270, 1556, 281, 589, 3557, 540, 519, 3203, 7797, 8160, 1046, 15519, 26684, 910, 476, 1220, 278, 910, 4139, 11572, 7869, 2142, 13154, 563, 13436, 2835, 543, 4930, 454, 1692, 28015, 1143, 568, 654, 3994, 281, 5651, 1275, 543, 11572, 20222, 17679, 597, 6265, 807, 4477, 323, 910, 476, 1220, 279, 910, 744, 1575, 2974, 320, 563, 763, 2598, 28470, 2782, 18830, 28015, 1143, 281, 20222, 12411, 639, 21654, 12991, 747, 15614, 7665, 6202, 910, 476, 1220, 278, 910, 769, 15751, 654, 269, 8585, 330, 573, 2763, 630, 539, 13776, 28015, 1143, 12983, 281, 21784, 10495, 2073, 31664, 543, 10644, 563, 4942, 3342, 4451, 476, 280, 270, 1556, 281, 15154, 6168, 519, 2782, 593, 28015, 1143, 11053, 574, 18333, 22767, 25301, 630, 539, 4700, 910, 476, 1220, 276, 910, 7046, 7040, 563, 23219, 267, 32202, 675, 543, 28015, 1143, 281, 15979, 543, 2782, 538, 519, 476, 2641, 560, 11416, 6185, 14865, 14339, 514, 630, 539, 4700, 910, 476, 1220, 278, 910, 4563, 6202, 563, 763, 21537, 2135, 540, 28015, 1143, 538, 6406, 2782, 269, 1805, 987, 529, 715, 269, 918, 3315, 11663, 910, 476, 1220, 275, 910, 634, 4750, 540, 15979, 476, 279, 630, 272, 2567, 9032, 268, 15946, 269, 0, 7212, 1082, 4892, 1175, 1491, 538, 7282, 3368, 540, 519, 5227, 1554, 3562, 6377, 27108, 540, 11379, 267, 972, 616, 6266, 540, 3536, 3638, 538, 11379, 269, 14465, 11446, 616, 519, 16968 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1981, 540, 2295, 2068, 267, 899, 3987, 267, 1164, 1973, 2604, 267, 543, 1164, 8501, 267, 2303, 6197, 2242, 547, 2569, 707, 1981, 267, 543, 3277, 596, 547, 513, 6315, 6048, 610, 824, 12665, 952, 2877, 269, 898, 779, 1271, 547, 581, 606, 3742, 7649, 538, 707, 1416, 543, 1865, 707, 2295, 1072, 609, 707, 8502, 269, 2368, 2055, 596, 949, 1616, 547, 2307, 1331, 912, 268, 2549, 594, 693, 606, 2799, 1981, 540, 3384, 2295, 2068, 286, 1403, 865, 267, 1946, 888, 268, 3657, 1250, 1973, 2604, 267, 1973, 4006, 267, 543, 8501, 1369, 519, 3339, 2039, 286, 1403, 711, 267, 1018, 1058, 594, 798, 888, 268, 1684, 594, 991, 1022, 9584, 4255, 585, 9025, 2068, 267, 899, 606, 661, 298, 294, 610, 2566, 1449, 888, 268, 1215, 1419, 1058, 594, 1294, 596, 610, 1250, 6315, 6048, 888, 268, 1548, 616, 519, 2589, 540, 2295, 2068, 602, 594, 1058, 581, 593, 519, 1413, 719, 585, 267, 585, 1383, 9854, 267, 26032, 540, 7362, 267, 11926, 538, 519, 3952, 610, 17094, 956, 267, 610, 513, 5312, 11522, 888, 268, 1403, 707, 8502, 15565, 6646, 610, 824, 5574, 267, 2307, 1018, 519, 2640, 543, 4220, 616, 543, 1018, 824, 3681, 616, 2139, 563, 268, 5192, 948, 2679, 543, 23578, 609, 707, 2635, 2295, 4640, 269, 10435, 6197, 2242, 267, 8220, 609, 12665, 267, 543, 1620, 707, 1981, 2188, 543, 2126, 3681, 666, 1745, 899, 513, 2603, 540, 960, 269, 589, 1072, 25129, 267, 1072, 4044, 1807, 267, 610, 12016, 2013, 9614, 2139, 998, 707, 1072, 1544, 666, 948, 596, 1628, 513, 2295, 1072, 1544, 267, 1569, 2963, 2861, 1344, 593, 2175, 543, 5574, 267, 543, 1921, 609, 12665, 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 ]
[ 11088, 267, 9490, 569, 519, 25501, 4547, 31847, 267, 14798, 267, 543, 27330, 4611, 538, 530, 31441, 856, 513, 5458, 1297, 540, 25165, 269, 2368, 5747, 1813, 547, 519, 5208, 540, 519, 14082, 563, 2005, 568, 6059, 602, 540, 519, 476, 273, 269, 276, 2929, 6805, 1004, 2713, 538, 519, 3148, 540, 1459, 6377, 8478, 267, 1447, 982, 476, 1015, 2600, 15068, 11489, 519, 476, 8182, 271, 338, 269, 634, 21152, 25855, 856, 540, 8478, 3574, 267, 4006, 267, 4154, 267, 19987, 267, 10412, 267, 543, 10269, 269, 1306, 513, 6093, 7810, 1379, 267, 17577, 779, 3609, 22157, 2509, 4174, 6137, 8478, 540, 922, 2200, 2864, 982, 3384, 519, 2199, 4346, 563, 763, 14082, 13856, 30173, 4123, 585, 3592, 513, 2540, 2066, 5318, 5624, 1063, 9533, 543, 4095, 12084, 8720, 519, 16788, 540, 2342, 267, 4639, 4000, 267, 8478, 267, 3127, 267, 543, 21475, 16644, 2088, 269, 1358, 21775, 538, 4457, 16536, 267, 4095, 12308, 267, 645, 11448, 334, 779, 6886, 267, 543, 7033, 648, 572, 5070, 531, 6229, 1107, 1851, 824, 1919, 563, 21545, 1872, 12956, 4168, 28773, 941, 2111, 547, 3262, 741, 5132, 543, 2528, 538, 519, 10125, 269, 8616, 267, 741, 4527, 729, 811, 607, 18318, 543, 1447, 607, 4108, 5003, 4536, 563, 18814, 547, 4617, 10892, 1996, 3864, 3676, 267, 29966, 7503, 2924, 267, 543, 3668, 540, 3909, 8404, 585, 960, 267, 519, 25165, 540, 6239, 543, 3162, 3013, 941, 711, 3514, 585, 7142, 4074, 24873, 543, 5599, 6009, 269, 1924, 14082, 543, 2663, 1975, 8643, 1841, 4547, 10437, 689, 4639, 4000, 585, 519, 2182, 960, 563, 288, 21083, 24271, 656, 850, 19525, 2919, 538, 519, 9533, 7909, 269, 13583, 3293, 5370, 543, 20955, 941, 4547, 547, 4000, 543, 519, 17113, 689, 2342, 269, 6215, 2314, 941, 4547, 689, 4639, 4000, 547, 519, 17113, 585, 7142, 4074, 269, 18924, 4637, 267, 4154, 267, 8988, 267, 4006, 267, 10269, 267, 524, 659, 7776, 267, 10412, 267, 3092, 1421, 941, 25855, 689, 519, 17113, 547, 28988, 2548, 563, 19322, 664, 267, 5333, 267, 543, 26652, 9411, 519, 6735, 540, 17091, 538, 519, 8545, 3368, 540, 519, 31303, 2540, 269, 1358, 1705, 711, 5431, 519, 6498, 540, 15798, 1063, 519, 30345, 1014, 7060, 269, 4789, 3964, 922, 1101, 12733, 538, 476, 8182, 278, 693, 11918, 652, 1144, 630, 514, 1459, 6377, 9098, 264, 593, 519, 7532, 5032, 540, 3345, 3013, 269, 634, 1101, 3943, 12733, 538, 3345, 3013, 729, 5800, 7304, 5819, 630, 514, 25429, 32108, 1040, 1715, 13291, 1633, 729, 4092, 593, 1018, 568, 1631, 519, 7532, 5032, 540, 519, 2136, 2276, 267, 642, 714, 1421, 1715, 3840, 267, 1715, 14948, 267, 26609, 267, 543, 21086, 267, 609, 1507, 856, 14006, 338, 538, 12425, 543, 29049, 6816, 563, 5804, 519, 3864, 1448, 540, 2070, 267, 19090, 779, 6602, 540, 3013, 543, 23849, 1723, 1546, 717, 4821, 779, 4262, 8905, 6602, 540, 3127, 941, 519, 1079, 1034, 1271, 2621, 538, 519, 2085, 540, 6602, 543, 11193, 799, 5555, 721, 22363, 538, 2518, 29686, 543, 28735, 540, 519, 4639, 563, 2690, 519, 25165, 540, 519, 17113, 267, 2705, 267, 621, 9863, 547, 581, 513, 31169, 602, 530, 22075, 856, 741, 12977, 543, 1232, 13846, 741, 2551, 563, 763, 6519, 2494, 779, 645, 6324, 523, 729, 3976, 513, 4641, 4352, 711, 538, 519, 2631, 27411, 7204, 5921, 269, 634, 6519, 2494, 779, 645, 6324, 523, 729, 585, 519, 1875, 26049, 1158, 547, 7703, 1107, 543, 621, 729, 865, 646, 11998, 621, 2879, 4428, 539, 856, 2898, 12977, 267, 9788, 3653, 5318, 3338, 267, 543, 7166, 9937, 540, 6634, 540, 25165, 563, 263, 2414, 581, 4797, 264, 0, 288, 14590, 1981, 4879, 568, 827, 1620, 267, 5883, 267, 9013, 267, 543, 19086, 14590, 4220, 2066, 707, 11833, 269, 898, 568, 606, 1271, 851, 540, 1022, 3919, 779, 1981, 2359, 4640, 543, 1239, 4027, 3646, 563, 32391, 10526, 616, 4986, 1007, 543, 2436, 596, 899, 621, 610, 711, 267, 952, 596, 960, 538, 1239, 4027, 267, 596, 616, 538, 519, 1870, 540, 1981, 2359, 269, 14992, 7048, 8185, 593, 1344, 2029, 543, 1344, 1949, 547, 798, 1870, 267, 2810, 519, 5817, 4220, 267, 4220, 602, 941, 711, 1459, 1354, 454, 763, 2817, 4659, 540, 2418, 543, 5303, 630, 301, 8780, 264, 814, 2919, 513, 14590, 22403, 547, 1683, 513, 3490, 585, 1655, 2259, 563, 763, 15536, 9798, 10495, 630, 5425, 288, 264, 14439, 10616, 538, 707, 3106, 14302, 543, 2488, 513, 31387, 1759, 593, 4857, 3354, 4220, 267, 26724, 519, 12644, 2877, 547, 2087, 707, 2949, 14302, 269, 4635, 938, 13737, 1283, 16365, 543, 5377, 5346, 1505, 267, 938, 544, 21863, 2319, 8039, 3354, 19383, 267, 4507, 267, 543, 8060, 1247, 938, 5683, 28892, 2319, 4991, 2059, 609, 10858, 3609, 543, 2029, 8060, 563, 2414, 6166, 602, 3354, 2994, 543, 2994, 1489, 707, 1870, 6859, 543, 3853, 267, 595, 6347, 20781, 547, 519, 1739, 2565, 2055, 912, 268, 1548, 4010, 798, 649, 991, 547, 2149, 6000, 888, 268, 4208, 798, 649, 991, 547, 2149, 621, 888, 268, 1215, 798, 649, 1655, 2149, 621, 888, 268, 1548, 952, 649, 1810, 1406, 2149, 621, 888, 268, 1548, 616, 6880, 4220, 888, 763, 1981, 568, 2463, 762, 610, 519, 5506, 540, 2883, 2530, 543, 666, 581, 6027, 689, 4642, 267, 1970, 267, 5420, 547, 1164, 269, 634, 1614, 2188, 602, 3049, 883, 519, 4879, 540, 1981, 16426, 616, 912, 1432, 568, 513, 3463, 888, 1692, 4617, 568, 519, 1062, 888, 1432, 568, 519, 22194, 610, 2883, 2530, 952, 621, 568, 26991, 610, 28998, 888, 2005, 3947, 721, 607, 6880, 1981, 281, 6880, 1981, 815, 3463, 1535, 13438, 1535, 1239, 1871, 454, 5331, 602, 596, 723, 19847, 609, 513, 1880, 5665, 1062, 547, 2708, 519, 1981, 2404, 609, 513, 6880, 4323, 269, 901, 5665, 1062, 814, 513, 5432, 1394, 21830, 538, 4528, 476, 272, 269, 278, 540, 922, 3301, 602, 568, 9308, 2653, 547, 946, 543, 8637, 1164, 17032, 1239, 269, 1403, 596, 723, 1100, 2168, 3354, 538, 707, 5604, 267, 707, 1981, 568, 2362, 563, 4913, 267, 952, 707, 8668, 5234, 666, 3713, 16426, 543, 789, 9337, 519, 5665, 1062, 547, 4528, 476, 272, 269, 279, 267, 707, 16426, 616, 2539, 267, 1239, 2298, 568, 1869, 2362, 1317, 519, 1394, 729, 1273, 3481, 547, 4528, 476, 272, 269, 279, 563, 2467, 616, 1360, 1906, 1919, 538, 513, 1870, 1184, 610, 1344, 1062, 609, 4642, 4220, 602, 991, 547, 581, 6854, 538, 2247, 543, 519, 1981, 4016, 547, 10462, 269, 1403, 1945, 568, 16798, 547, 4755, 267, 621, 568, 711, 19408, 269, 898, 779, 851, 540, 3339, 1870, 4238, 563, 3963, 798, 6880, 1981, 10526, 888, 2467, 616, 513, 1906, 4128, 596, 1616, 547, 2708, 6880, 1981, 543, 596, 991, 513, 1906, 4128, 269, 2913, 779, 979, 998, 873, 912, 16524, 3856, 1942, 5786, 281, 17291, 1761, 6937, 543, 16426, 267, 1287, 2324, 547, 11574, 873, 267, 814, 519, 1761, 547, 2061, 610, 2569, 3354, 13685, 602, 4688, 707, 3919, 2724, 543, 5924, 2463, 762, 2530, 538, 519, 1279, 2196, 563, 17809, 1938, 513, 14590, 1981, 4879, 10959, 585, 2104, 4879, 281, 15536, 1981, 10526, 616, 711, 835, 540, 519, 3157, 267, 596, 991, 547, 9337, 873, 7683, 267, 513, 1434, 1101, 2490, 786, 2327, 10956, 762, 3157, 1256, 609, 9441, 24826, 454, 289, 21392, 10721, 1702, 281, 18833, 10721, 12755, 3947, 596, 513, 2312, 2856, 540, 1141, 707, 3919, 2115, 547, 2087, 563, 22879, 1239, 23563, 281, 4578, 23563, 666, 723, 5458, 2883, 543, 18019, 2360, 593, 606, 3919, 454, 22879, 9431, 2152, 281, 21436, 1239, 602, 729, 21687, 1317, 596, 28336, 547, 1205, 2059, 609, 31254, 5183, 288, 267, 623, 5746, 667, 7704, 267, 610, 6673, 6938, 595, 4916, 476, 23056, 454, 22879, 29987, 3498, 281, 16065, 543, 5561, 991, 547, 723, 4835, 610, 6075, 1922, 5217, 1949, 2139, 543, 789, 991, 547, 960, 454, 10574, 2530, 281, 634, 1111, 540, 1870, 7834, 267, 3009, 267, 610, 824, 1883, 1344, 1797, 596, 666, 6336, 1870, 547, 15712, 454, 19741, 602, 267, 519, 6880, 1981, 4879, 1344, 568, 538, 29323, 762, 689, 519, 1981, 2359, 543, 3102, 1981, 2359, 2994, 540, 1022, 3919, 563, 1432, 568, 513, 6880, 1981, 4879, 888, 24426, 828, 1981, 10526, 616, 3989, 676, 519, 715, 8780, 1317, 789, 616, 1031, 547, 2697, 267, 11891, 543, 4225, 1981, 10526, 585, 10721, 2238, 267, 10721, 7482, 267, 2043, 267, 824, 3906, 267, 543, 6082, 267, 607, 513, 1267, 540, 519, 2359, 543, 946, 540, 1344, 1949, 563, 763, 3119, 30254, 540, 513, 6880, 1981, 4879, 568, 547, 1217, 519, 3375, 2275, 805, 528, 543, 1489, 1697, 1981, 6114, 269, 1358, 849, 1683, 606, 10324, 2110, 547, 948, 26933, 543, 19971, 1118, 5483, 21520, 827, 3354, 269, 634, 1239, 3354, 1981, 4879, 1184, 3322, 16460, 519, 1739, 2055, 912, 268, 1548, 616, 519, 1034, 1271, 1344, 2029, 2200, 540, 938, 3919, 888, 268, 7102, 1239, 23563, 689, 18453, 267, 6880, 31281, 2931, 267, 610, 1480, 5470, 786, 723, 513, 2462, 1764, 593, 938, 1870, 286, 6056, 6075, 1344, 563, 268, 1548, 616, 519, 4143, 6937, 543, 3463, 2959, 585, 938, 3919, 888, 268, 1548, 616, 519, 4835, 543, 5007, 12755, 888, 268, 1403, 1346, 12755, 616, 23699, 267, 1018, 786, 581, 519, 1198, 888, 268, 1548, 616, 519, 8458, 540, 14226, 888, 268, 1548, 6880, 6285, 267, 6880, 6937, 267, 610, 3354, 13685, 666, 1860, 513, 1870, 779, 2702, 547, 1685, 888, 9989, 1250, 3919, 1745, 6899, 2921, 19408, 2157, 888, 2252, 596, 666, 2626, 713, 2243, 267, 596, 786, 581, 2111, 547, 1118, 513, 6109, 3375, 827, 1018, 4027, 596, 786, 1683, 269, 901, 1797, 596, 666, 1020, 8668, 3354, 8060, 543, 1239, 4027, 2994, 547, 2569, 1981, 269, 1717, 267, 1354, 596, 666, 798, 713, 267, 596, 991, 547, 2626, 519, 1739, 2055, 912, 268, 2549, 594, 4227, 519, 1981, 888, 268, 1772, 713, 519, 5207, 10862, 3354, 1981, 888, 268, 2549, 594, 4227, 1981, 538, 519, 1034, 7199, 1259, 888, 1607, 786, 948, 596, 1174, 519, 2298, 540, 519, 1239, 596, 616, 3843, 547, 2149, 543, 1732, 1174, 707, 1239, 1981, 2359, 1184, 538, 1931, 547, 2149, 1870, 2115, 563, 1692, 547, 2708, 6880, 1981, 454, 2171, 786, 1376, 609, 513, 1164, 7400, 7650, 543, 16590, 1524, 547, 1142, 1900, 540, 519, 1985, 6810, 269, 6969, 596, 666, 798, 4376, 547, 2708, 1981, 543, 11574, 267, 596, 991, 547, 1174, 1018, 1239, 596, 723, 267, 1018, 5989, 596, 723, 267, 543, 519, 1871, 540, 519, 1239, 596, 616, 3843, 547, 2149, 269, 1411, 949, 1616, 547, 1376, 676, 2912, 1746, 707, 1239, 547, 16253, 547, 519, 1739, 2055, 912, 268, 1548, 1344, 786, 649, 2445, 888, 268, 1215, 543, 1141, 616, 649, 13936, 713, 1344, 888, 268, 1215, 798, 649, 4558, 543, 3561, 1344, 888, 268, 1215, 1279, 798, 649, 1832, 1239, 888, 268, 5808, 814, 1569, 547, 1239, 24323, 543, 608, 27238, 888, 3674, 519, 1747, 1141, 649, 4558, 1239, 5265, 6870, 286, 3509, 19374, 2097, 689, 14605, 27358, 590, 274, 11369, 1115, 267, 2638, 707, 590, 274, 10479, 610, 2576, 3116, 786, 2307, 563, 5475, 602, 267, 596, 786, 1616, 547, 3313, 519, 6724, 540, 707, 4879, 269, 3371, 616, 930, 1434, 2596, 2055, 547, 1205, 596, 3323, 912, 268, 1548, 568, 519, 3483, 540, 519, 4879, 888, 268, 1548, 616, 519, 4879, 3255, 888, 268, 7102, 14422, 610, 7687, 602, 594, 1058, 581, 3222, 540, 602, 1223, 1860, 519, 4879, 888, 268, 5808, 798, 594, 991, 1569, 547, 1205, 782, 1250, 1344, 888, 268, 6904, 1981, 2203, 1281, 519, 2754, 946, 585, 1981, 2079, 888, 6624, 540, 891, 2055, 616, 1582, 7721, 17839, 2218, 269, 1548, 596, 1616, 547, 917, 568, 1018, 596, 786, 5659, 267, 945, 814, 519, 1983, 2877, 547, 1118, 513, 1697, 4879, 267, 543, 2436, 972, 616, 1022, 9431, 4170, 610, 6578, 776, 7687, 585, 596, 547, 581, 3222, 540, 563, 3086, 1577, 779, 1294, 1018, 3268, 991, 547, 581, 3144, 547, 2347, 513, 2347, 6880, 1981, 4879, 676, 3246, 596, 609, 513, 1981, 4879, 10959, 563, 2662, 846, 6880, 1981, 1058, 581, 12290, 888, 29613, 958, 267, 707, 3919, 814, 4835, 5234, 945, 666, 6023, 621, 269, 901, 1797, 2348, 8668, 5234, 609, 606, 1620, 540, 875, 707, 3059, 543, 3060, 5989, 1568, 267, 607, 1134, 607, 606, 9375, 945, 6487, 875, 3377, 8928, 543, 1022, 28106, 10721, 1702, 602, 666, 581, 2500, 1282, 6268, 269, 31044, 11413, 568, 1883, 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 ]
[ 8675, 568, 1932, 1804, 281, 2943, 621, 568, 538, 6986, 25307, 267, 1134, 27787, 538, 4190, 1507, 3854, 5022, 267, 11231, 538, 9904, 673, 1931, 269, 594, 1705, 711, 2943, 723, 942, 547, 1039, 519, 2495, 540, 1142, 2262, 538, 2296, 269, 594, 666, 14377, 1034, 540, 621, 1510, 5470, 267, 855, 585, 519, 7778, 540, 1082, 1913, 594, 723, 547, 1205, 948, 689, 513, 15931, 25307, 269, 901, 4074, 540, 2648, 729, 6368, 4712, 538, 476, 8146, 272, 563, 300, 8221, 547, 2836, 12827, 3279, 454, 1103, 519, 5614, 540, 476, 8146, 272, 267, 519, 23826, 729, 14376, 676, 519, 3703, 547, 2661, 538, 2836, 12827, 3279, 267, 1141, 646, 4941, 547, 15476, 1010, 8675, 269, 595, 338, 5448, 8678, 519, 9576, 1306, 328, 1738, 5980, 540, 19377, 543, 786, 960, 5702, 609, 1200, 585, 519, 1964, 540, 1200, 1272, 269, 3571, 960, 538, 519, 22615, 28569, 9575, 519, 3007, 540, 16130, 16159, 543, 31970, 626, 9710, 864, 15917, 2006, 14355, 267, 945, 2968, 5461, 538, 519, 25307, 8675, 563, 310, 12291, 267, 945, 729, 606, 3312, 4759, 540, 519, 9576, 1306, 328, 1738, 5980, 267, 4280, 519, 3703, 8128, 538, 2836, 12827, 3279, 547, 13384, 528, 519, 8313, 540, 519, 8675, 269, 769, 3210, 267, 6554, 14199, 4937, 6723, 4210, 15586, 5206, 281, 968, 763, 21470, 5518, 538, 7027, 568, 20916, 547, 1589, 602, 621, 568, 3810, 14909, 602, 519, 25307, 8239, 543, 8675, 5423, 676, 589, 269, 595, 338, 5448, 632, 918, 385, 495, 337, 7238, 338, 581, 3370, 538, 2836, 12827, 3279, 267, 2229, 13258, 267, 3127, 1373, 519, 1034, 5078, 4087, 585, 8313, 267, 543, 2229, 4440, 519, 1152, 5428, 1651, 584, 2590, 519, 13258, 269, 968, 454, 6524, 14355, 2451, 2836, 12827, 3279, 538, 476, 8146, 274, 547, 1831, 7548, 540, 16130, 693, 519, 2160, 540, 10228, 267, 646, 5206, 513, 27367, 17250, 540, 595, 338, 5448, 538, 519, 4750, 540, 519, 9576, 1306, 328, 1738, 5980, 269, 968, 763, 17250, 267, 607, 2484, 607, 621, 814, 8854, 267, 814, 865, 2484, 6039, 607, 519, 4493, 585, 782, 8369, 593, 595, 338, 5448, 779, 2250, 1272, 2223, 667, 26854, 5206, 563, 10521, 1296, 1310, 21945, 538, 2836, 12827, 3279, 267, 595, 338, 5448, 729, 796, 29434, 3585, 11221, 606, 8956, 776, 4759, 540, 519, 1306, 328, 1738, 5980, 269, 6276, 13584, 335, 267, 945, 8719, 14355, 607, 2754, 23122, 267, 3576, 519, 11036, 547, 1118, 595, 338, 5448, 606, 8956, 776, 4759, 269, 2755, 20803, 519, 23826, 267, 646, 5206, 281, 968, 763, 26671, 9730, 568, 3222, 540, 6004, 269, 595, 338, 5448, 779, 20340, 607, 513, 25307, 267, 16130, 543, 2489, 8059, 626, 267, 543, 594, 723, 4986, 547, 2161, 538, 2857, 2056, 1864, 547, 519, 6069, 8956, 540, 24705, 1042, 593, 1864, 811, 267, 8259, 621, 568, 547, 7618, 2818, 602, 646, 814, 6170, 519, 2063, 1079, 1296, 8600, 22331, 9233, 267, 16627, 543, 13327, 4370, 519, 7041, 540, 1010, 9218, 267, 1510, 16561, 1022, 1121, 684, 3130, 689, 519, 5980, 610, 519, 6554, 4586, 300, 2292, 1705, 711, 3100, 547, 581, 513, 30254, 585, 595, 338, 5448, 269, 2991, 21945, 538, 3127, 267, 646, 5059, 593, 1620, 25307, 1893, 267, 2528, 543, 9821, 543, 1818, 873, 3015, 547, 17417, 269, 667, 26854, 3773, 281, 968, 763, 1152, 8007, 595, 338, 5448, 2479, 8179, 729, 606, 7071, 540, 1010, 960, 676, 1010, 29629, 2456, 543, 1010, 16968, 640, 3034, 2026, 1014, 5980, 20157, 4115, 454, 1103, 476, 8146, 278, 267, 519, 23826, 16159, 2968, 519, 7172, 4115, 540, 519, 7489, 5980, 267, 1247, 11173, 1010, 1382, 593, 25307, 3909, 5931, 269, 1261, 5030, 593, 519, 22402, 540, 519, 2754, 563, 2108, 5804, 3735, 476, 8146, 278, 2394, 2038, 476, 7277, 273, 267, 595, 338, 5448, 7283, 538, 2836, 12827, 3279, 267, 12180, 519, 25307, 1568, 540, 519, 7489, 5980, 607, 513, 7172, 4115, 2223, 667, 26854, 5206, 269, 968, 3891, 814, 3370, 1896, 1521, 2478, 543, 3621, 4930, 543, 729, 7722, 676, 3220, 630, 19365, 264, 962, 919, 543, 824, 28773, 538, 24758, 519, 22175, 21395, 267, 25360, 916, 543, 27302, 3883, 883, 25307, 563, 3080, 540, 1010, 632, 11732, 9909, 729, 547, 3643, 700, 13757, 320, 543, 3844, 17230, 269, 1261, 1500, 4566, 538, 476, 7277, 273, 547, 3643, 519, 1858, 267, 609, 519, 2407, 1489, 543, 25736, 540, 519, 3703, 267, 855, 26438, 13663, 1247, 15385, 519, 6833, 2967, 538, 4728, 540, 519, 1482, 1032, 269, 1261, 8452, 538, 11023, 16660, 9934, 538, 4057, 1072, 543, 5747, 538, 519, 2749, 563, 14367, 13613, 547, 2836, 12827, 3279, 543, 519, 1306, 328, 1738, 5980, 729, 971, 602, 646, 12247, 539, 547, 2132, 547, 519, 2749, 1310, 1010, 16939, 547, 6239, 5607, 267, 855, 713, 729, 711, 519, 2013, 563, 3891, 2451, 513, 1390, 9371, 543, 568, 4922, 1634, 607, 519, 13653, 540, 2413, 17230, 1108, 269, 595, 338, 5448, 779, 8675, 267, 8239, 267, 543, 824, 12326, 941, 2808, 1898, 1353, 2326, 585, 17230, 5505, 538, 2342, 538, 519, 476, 866, 628, 543, 476, 736, 628, 5553, 267, 1519, 6739, 16159, 6723, 10162, 518, 747, 267, 945, 7307, 547, 2721, 593, 873, 269, 960, 5645, 856, 676, 595, 338, 5448, 563, 1103, 1010, 5065, 21640, 646, 568, 23816, 569, 15422, 607, 513, 968, 335, 559, 15317, 16159, 6100, 769, 5239, 476, 1708, 272, 267, 513, 15518, 566, 540, 23826, 19174, 10272, 519, 4055, 1141, 595, 338, 5448, 5249, 693, 519, 7489, 5980, 540, 2836, 12827, 3279, 269, 634, 4055, 729, 22058, 730, 609, 1489, 689, 519, 23826, 21150, 29983, 538, 16156, 513, 1906, 1296, 3516, 543, 3568, 8357, 8494, 807, 2404, 609, 595, 338, 5448, 563, 300, 1173, 527, 918, 7238, 1407, 267, 6250, 1746, 7905, 538, 519, 4972, 540, 23577, 545, 543, 18373, 334, 27138, 326, 878, 5525, 693, 519, 2160, 540, 16156, 267, 945, 814, 1044, 3450, 23826, 538, 3127, 585, 811, 982, 1079, 5756, 267, 5589, 870, 634, 942, 540, 3127, 602, 595, 338, 5448, 729, 835, 540, 519, 968, 792, 31586, 1806, 540, 21475, 6953, 2426, 4115, 9316, 799, 5170, 547, 8853, 547, 713, 1554, 6100, 15622, 8932, 267, 3057, 27821, 543, 16130, 941, 1851, 519, 476, 1626, 4654, 602, 12017, 12579, 27058, 563, 5415, 982, 1079, 5553, 1310, 25054, 593, 519, 7045, 540, 1010, 1272, 267, 519, 960, 540, 12138, 595, 338, 5448, 632, 918, 385, 495, 337, 7238, 338, 568, 9976, 538, 5101, 543, 4639, 7567, 563, 288, 329, 599, 21919, 531, 752, 15546, 568, 513, 28479, 766, 5856, 543, 19784, 1759, 538, 29180, 269, 1261, 568, 17833, 25659, 1092, 29533, 585, 3778, 1299, 11595, 13360, 902, 585, 476, 1708, 272, 269, 0, 4415, 519, 26746, 3357, 538, 3069, 513, 2101, 1689, 538, 19746, 9821, 267, 609, 1004, 1100, 3476, 15868, 547, 581, 12617, 538, 519, 5939, 1310, 476, 15647, 272, 269, 769, 2259, 713, 1869, 4667, 547, 723, 7018, 269, 769, 930, 13039, 267, 771, 4310, 2694, 2968, 544, 9476, 1961, 4548, 630, 2704, 8725, 476, 1960, 280, 267, 476, 7367, 1040, 4033, 17245, 2959, 20726, 540, 4797, 19746, 538, 519, 5939, 1256, 1310, 282, 585, 1383, 267, 519, 737, 25184, 8400, 5638, 585, 918, 2830, 792, 333, 4163, 513, 12576, 538, 476, 10204, 271, 602, 519, 2920, 540, 519, 4937, 10198, 1996, 30565, 532, 538, 519, 737, 25184, 581, 646, 17660, 630, 13440, 867, 585, 476, 2420, 268, 278, 268, 10204, 271, 1040, 634, 29943, 568, 602, 3276, 10118, 1336, 1369, 513, 5939, 3112, 8850, 581, 10924, 547, 581, 2776, 268, 3725, 4146, 538, 4266, 267, 4352, 930, 540, 519, 3276, 10118, 949, 723, 1044, 538, 3889, 15600, 689, 3544, 519, 737, 25184, 563, 7197, 5403, 268, 3725, 4146, 524, 655, 2678, 625, 616, 1869, 3742, 267, 543, 4061, 972, 814, 1044, 2370, 960, 593, 5403, 5336, 539, 8148, 1480, 3788, 543, 19746, 9821, 538, 519, 4400, 4133, 269, 11153, 3276, 10118, 14155, 730, 689, 570, 16808, 520, 6196, 5939, 941, 28650, 18584, 547, 519, 2038, 476, 1428, 628, 547, 4571, 476, 1704, 628, 2540, 267, 17364, 3735, 19744, 270, 22022, 5403, 5336, 539, 8148, 5712, 269, 1358, 941, 12617, 538, 695, 709, 1091, 543, 538, 930, 2665, 609, 2963, 540, 30756, 1231, 630, 10111, 591, 1696, 620, 476, 1001, 277, 1916, 763, 5939, 12881, 2404, 609, 519, 19744, 32724, 693, 595, 4068, 13225, 16699, 630, 299, 655, 331, 1515, 1070, 14914, 17664, 630, 300, 295, 294, 8660, 275, 273, 264, 568, 2144, 5317, 883, 519, 4262, 267, 543, 930, 540, 519, 1480, 3788, 941, 18584, 267, 855, 609, 513, 2647, 4266, 2039, 8720, 1034, 540, 519, 1974, 282, 1034, 540, 891, 3788, 941, 6450, 584, 1221, 693, 918, 2830, 792, 333, 28200, 1813, 547, 2199, 25211, 532, 269, 4518, 693, 17340, 14790, 19376, 2025, 737, 25184, 543, 544, 9476, 1961, 320, 593, 519, 4563, 1772, 548, 16626, 524, 2851, 540, 771, 691, 545, 4327, 1480, 5642, 267, 3006, 5402, 19882, 855, 538, 824, 2665, 795, 14217, 267, 607, 1134, 607, 771, 691, 545, 4327, 3788, 3544, 519, 3889, 269, 3143, 6580, 729, 17298, 267, 543, 4061, 930, 540, 519, 7633, 949, 723, 581, 19744, 538, 4266, 267, 23498, 543, 6450, 584, 1221, 693, 513, 2663, 4266, 269, 15845, 540, 2085, 267, 3023, 267, 543, 1072, 729, 5833, 2705, 269, 1452, 3788, 941, 849, 5368, 614, 1042, 630, 18250, 298, 1122, 27932, 267, 22118, 928, 476, 1001, 278, 1916, 14549, 3788, 267, 1034, 771, 691, 545, 4327, 267, 540, 693, 2547, 476, 2764, 2043, 941, 1336, 538, 1507, 4336, 26995, 693, 853, 9069, 320, 779, 29443, 776, 267, 3751, 1380, 773, 630, 300, 295, 294, 4510, 272, 274, 8865, 5530, 6519, 325, 686, 541, 779, 29443, 776, 267, 3751, 1380, 773, 264, 6580, 1063, 519, 1439, 540, 519, 476, 1428, 628, 2540, 547, 4571, 476, 1704, 628, 2540, 269, 27264, 729, 4057, 267, 855, 930, 11560, 1670, 2079, 814, 1044, 17298, 267, 855, 538, 519, 9000, 540, 824, 2090, 3112, 581, 5116, 538, 1022, 2796, 269, 17290, 26995, 693, 519, 23664, 2023, 540, 27974, 2513, 331, 267, 14914, 17664, 32724, 3135, 630, 300, 295, 294, 275, 2537, 10019, 264, 7000, 5722, 13994, 4327, 7729, 30416, 630, 18314, 4079, 543, 2947, 1453, 9907, 1614, 3275, 547, 1614, 1296, 540, 2025, 264, 607, 1134, 607, 513, 2039, 540, 771, 691, 545, 4327, 5642, 538, 782, 11775, 269, 5565, 540, 519, 7729, 30416, 18584, 547, 3735, 19744, 270, 22022, 5403, 5336, 539, 8148, 1974, 267, 1247, 835, 729, 9090, 5403, 5336, 539, 8148, 269, 634, 10867, 3276, 10118, 941, 711, 18584, 267, 855, 616, 538, 513, 3735, 19744, 270, 22022, 5403, 5336, 539, 8148, 2796, 630, 22832, 1696, 620, 476, 1220, 279, 267, 476, 3374, 279, 282, 21662, 476, 1220, 279, 1916, 30999, 31531, 18584, 1480, 3788, 723, 1044, 1336, 856, 5976, 519, 5939, 267, 930, 267, 971, 607, 693, 3627, 522, 685, 294, 549, 1846, 267, 6970, 603, 1145, 630, 300, 295, 294, 4375, 274, 7918, 1070, 11021, 606, 4505, 11389, 322, 867, 539, 28200, 267, 855, 1866, 971, 607, 1079, 610, 811, 3276, 10118, 693, 700, 1054, 321, 1122, 267, 590, 9801, 1633, 630, 300, 295, 294, 29720, 11463, 1070, 835, 28650, 18584, 547, 5084, 476, 16825, 272, 268, 9965, 277, 630, 8150, 268, 3607, 275, 276, 1070, 1447, 2312, 269, 589, 15693, 1336, 693, 2725, 1731, 548, 12113, 787, 267, 590, 9801, 1633, 267, 513, 1279, 268, 5562, 15385, 540, 519, 667, 1941, 5255, 674, 9500, 267, 729, 2016, 676, 670, 7676, 16019, 547, 519, 715, 5960, 267, 543, 729, 5063, 18584, 547, 476, 14983, 274, 268, 8687, 271, 630, 300, 3430, 26427, 1086, 862, 1916, 14813, 1218, 685, 19746, 12406, 585, 1869, 9799, 30898, 2194, 2213, 1453, 616, 1634, 689, 930, 2127, 538, 519, 4400, 1633, 1519, 1896, 4609, 538, 654, 6856, 17664, 543, 25010, 748, 32724, 4609, 267, 19838, 595, 869, 30989, 267, 20242, 1084, 267, 6970, 603, 1145, 630, 300, 295, 294, 275, 2190, 7918, 264, 630, 18250, 290, 23042, 476, 1001, 271, 282, 476, 1001, 277, 267, 476, 1220, 742, 1040, 634, 1744, 663, 19213, 267, 14914, 17664, 11625, 880, 6149, 568, 1065, 3176, 569, 513, 19746, 3135, 585, 12256, 543, 647, 15969, 630, 18250, 290, 23042, 476, 1001, 277, 267, 476, 22659, 1070, 855, 3908, 14155, 725, 693, 519, 3135, 1705, 711, 7237, 1022, 4703, 630, 300, 295, 294, 5952, 274, 280, 1916, 289, 584, 658, 15339, 543, 10466, 454, 24836, 557, 5658, 619, 538, 1082 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 8702, 547, 938, 3408, 540, 17104, 543, 21337, 2528, 256, 1411, 1522, 723, 4862, 891, 2474, 1354, 267, 855, 798, 596, 917, 1018, 789, 2731, 1611, 286, 2913, 781, 1376, 676, 1620, 930, 9238, 780, 14367, 13732, 4016, 547, 1004, 945, 2097, 689, 267, 610, 723, 11937, 689, 267, 5053, 18702, 2477, 269, 901, 2882, 4025, 899, 8050, 267, 6792, 267, 543, 1896, 6082, 538, 519, 12144, 543, 6239, 543, 3162, 3013, 780, 23272, 3626, 267, 593, 519, 824, 1688, 267, 3622, 4016, 547, 1004, 945, 2097, 689, 267, 610, 723, 11937, 689, 267, 5824, 1977, 2477, 269, 1452, 616, 2477, 1141, 23620, 4654, 630, 3697, 5053, 543, 14082, 264, 616, 9275, 269, 1924, 713, 1131, 849, 1331, 8478, 267, 799, 14753, 14082, 780, 3086, 267, 1577, 781, 2911, 827, 513, 9135, 540, 3332, 602, 12090, 689, 17104, 543, 21337, 4529, 910, 2144, 582, 3821, 269, 661, 8527, 3821, 568, 513, 1826, 540, 1603, 602, 7710, 4638, 7287, 543, 16007, 269, 898, 781, 1271, 547, 4063, 602, 1247, 2144, 582, 3821, 666, 581, 8763, 267, 621, 1058, 2141, 2463, 6302, 543, 9844, 780, 1103, 2487, 1296, 267, 513, 1007, 24848, 516, 540, 2144, 582, 3821, 814, 7153, 1369, 519, 17104, 543, 21337, 2950, 281, 19636, 645, 9169, 300, 2144, 582, 3821, 269, 645, 9169, 300, 6763, 585, 6125, 720, 267, 9015, 267, 17282, 267, 19169, 267, 8909, 1143, 267, 543, 11792, 5255, 1143, 269, 645, 13308, 645, 9169, 300, 2144, 582, 3821, 10905, 2609, 540, 1379, 1404, 543, 2283, 7081, 609, 519, 3773, 4161, 543, 10761, 540, 1079, 4654, 780, 5331, 2542, 513, 1650, 1141, 513, 1915, 3081, 267, 834, 5938, 844, 1512, 334, 693, 541, 598, 11465, 1351, 321, 1092, 2437, 799, 1797, 834, 296, 1616, 547, 17063, 596, 909, 609, 1250, 17063, 1701, 2107, 5310, 267, 834, 302, 5523, 1815, 1069, 324, 586, 1583, 27222, 973, 20234, 839, 5964, 2437, 2495, 834, 302, 21161, 803, 543, 596, 786, 581, 30039, 1701, 1452, 2453, 1039, 606, 3063, 4494, 540, 26675, 543, 6612, 547, 519, 1650, 2439, 9961, 1686, 267, 17104, 543, 21337, 2043, 723, 1500, 1713, 7418, 547, 1585, 4610, 267, 1519, 3782, 267, 3968, 6604, 267, 543, 27496, 269, 3807, 899, 875, 891, 20334, 1031, 741, 2189, 5380, 547, 2087, 2486, 267, 4589, 540, 19636, 645, 9169, 300, 2144, 582, 3821, 3142, 4195, 16752, 547, 3332, 269, 1635, 6220, 741, 2686, 6561, 883, 741, 2984, 267, 789, 1711, 15138, 10600, 602, 8661, 4763, 543, 7903, 6302, 780, 2026, 649, 3460, 998, 713, 4241, 1158, 540, 17104, 543, 21337, 2528, 267, 3314, 602, 3025, 781, 2833, 616, 1114, 267, 543, 972, 568, 5898, 538, 1346, 3604, 269, 6787, 621, 781, 19825, 519, 17381, 540, 1893, 538, 19636, 3332, 610, 1565, 827, 14262, 5515, 538, 2257, 267, 8508, 3309, 5380, 27862, 721, 782, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 4374, 1063, 4571, 4149, 324, 4697, 543, 4571, 268, 19751, 814, 1044, 2817, 17104, 11595, 13600, 2094, 519, 3735, 476, 2735, 271, 338, 269, 4438, 713, 3923, 267, 519, 4182, 3217, 942, 547, 5431, 519, 1271, 1909, 5129, 676, 1977, 4961, 4171, 11937, 3357, 689, 8050, 267, 6792, 267, 519, 12144, 543, 6239, 13478, 1926, 3013, 269, 634, 476, 1708, 274, 6249, 568, 834, 307, 617, 657, 24622, 657, 267, 24622, 657, 1133, 657, 281, 1284, 3657, 2353, 267, 1284, 3657, 2290, 10590, 13830, 519, 2856, 602, 538, 19220, 540, 938, 2189, 10080, 267, 649, 616, 782, 23091, 543, 8087, 676, 938, 3838, 8103, 269, 769, 2221, 781, 2022, 267, 649, 3513, 2671, 476, 276, 2200, 596, 666, 946, 547, 2263, 610, 2671, 519, 1082, 7418, 689, 17104, 13624, 520, 3626, 2043, 538, 519, 4610, 540, 3782, 267, 3968, 6604, 267, 543, 27496, 563, 347, 14367, 13732, 286, 21337, 286, 5824, 343, 286, 1548, 781, 519, 2953, 2165, 286, 2755, 1100, 4013, 834, 2431, 257, 2165, 814, 1044, 7550, 267, 972, 616, 513, 2039, 540, 2474, 602, 19174, 607, 1134, 607, 1169, 6377, 1004, 946, 547, 2697, 2043, 609, 11937, 689, 8050, 267, 6792, 267, 519, 12144, 267, 543, 6239, 270, 3162, 3013, 269, 17104, 568, 519, 9510, 2165, 267, 543, 814, 519, 581, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 16337, 1315, 17104, 1299, 21337, 1315, 661, 8527, 3821, 1315, 645, 13308, 645, 9169, 300, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 3776, 3171, 9312, 14886, 910, 14780, 2358, 19529, 839, 693, 3427, 692, 5970, 596, 2479, 2938, 513, 9269, 909, 2673, 286, 9320, 596, 4312, 10272, 513, 3484, 610, 723, 17944, 607, 10130, 256, 2311, 11709, 681, 879, 321, 16504, 3427, 267, 9870, 17944, 814, 1831, 606, 1898, 851, 540, 519, 6437, 269, 901, 3184, 786, 3391, 596, 998, 519, 9735, 1158, 540, 891, 13692, 344, 7068, 543, 875, 2921, 1416, 540, 873, 2337, 721, 1332, 883, 1732, 2043, 780, 1262, 3963, 3657, 19529, 839, 7981, 15140, 6524, 649, 4685, 883, 519, 3877, 540, 9870, 17944, 267, 1577, 781, 1101, 1451, 1018, 2306, 17944, 2189, 2831, 256, 1280, 26784, 267, 1705, 596, 917, 602, 17944, 616, 18939, 540, 17878, 286, 2334, 781, 1318, 282, 789, 4866, 547, 519, 1482, 1920, 3529, 607, 519, 12194, 727, 570, 10455, 2335, 28683, 556, 343, 256, 3683, 6634, 540, 1296, 267, 17944, 7960, 547, 3082, 547, 1585, 5054, 267, 1818, 873, 3833, 4241, 547, 1353, 780, 11101, 267, 17944, 4865, 6909, 4987, 543, 1514, 1983, 269, 1358, 5968, 609, 1142, 824, 1210, 1114, 4992, 267, 2022, 999, 267, 543, 2681, 2242, 593, 741, 8188, 256, 1635, 11287, 891, 5615, 267, 3173, 2744, 4030, 827, 3662, 2623, 543, 17133, 780, 4263, 1153, 267, 835, 1259, 649, 5660, 17944, 568, 676, 4742, 834, 2419, 1157, 523, 570, 11367, 2437, 3743, 585, 12391, 585, 938, 11537, 646, 985, 269, 2913, 781, 2263, 875, 649, 666, 3565, 547, 938, 1153, 2146, 543, 4228, 938, 20030, 1247, 14637, 891, 5863, 7068, 780, 1262, 6826, 5765, 589, 26560, 570, 2658, 4373, 5629, 596, 3914, 519, 8772, 3446, 267, 596, 1932, 666, 4019, 547, 1831, 513, 26560, 570, 2658, 256, 1548, 1281, 621, 1491, 547, 7118, 971, 513, 20380, 2140, 286, 4793, 1466, 267, 7029, 267, 543, 11587, 2509, 938, 905, 9312, 2828, 269, 2659, 3119, 9021, 1331, 1384, 265, 27686, 519, 23132, 281, 18227, 519, 2713, 2230, 2973, 5849, 602, 707, 17944, 3251, 2635, 543, 6126, 269, 1411, 3513, 1451, 875, 547, 4894, 5323, 25940, 267, 5372, 28945, 2326, 267, 543, 2226, 1697, 14910, 563, 265, 11814, 532, 5798, 281, 18610, 5798, 1169, 1554, 286, 8786, 267, 5225, 256, 898, 781, 2629, 547, 5531, 5798, 9900, 865, 602, 9444, 519, 18911, 6862, 519, 4212, 4991, 10413, 269, 1656, 1810, 1405, 7340, 547, 11547, 1055, 1022, 13897, 1354, 25305, 1930, 602, 8949, 14254, 1521, 563, 265, 30839, 942, 281, 3807, 899, 3425, 267, 17944, 991, 14312, 6980, 547, 8853, 269, 4197, 741, 8192, 4170, 11414, 596, 3407, 4245, 827, 7059, 6484, 543, 1426, 7041, 563, 265, 654, 10248, 936, 519, 5017, 281, 9866, 3569, 4249, 513, 1713, 1909, 950, 512, 2056, 547, 17944, 269, 3502, 6005, 11029, 2242, 538, 2623, 666, 10332, 596, 952, 1945, 3884, 1405, 1318, 1107, 4758, 596, 3946, 6823, 1995, 538, 1966, 9010, 543, 6568, 780, 1607, 1032, 267, 649, 5189, 513, 1007, 1895, 540, 26560, 570, 11367, 1107, 2818, 540, 938, 5020, 10341, 1362, 269, 1452, 1053, 1631, 6443, 4229, 609, 1866, 945, 2671, 519, 1482, 5692, 281, 4180, 519, 8171, 540, 938, 5386, 905, 9312, 15274, 269, 8625, 267, 3025, 2640, 689, 9450, 1565, 543, 5718, 2833, 780, 1262, 1692, 6496, 595, 2130, 585, 19529, 839, 6435, 2974, 22320, 15140, 290, 2130, 585, 17944, 3091, 3875, 5383, 3564, 2348, 1187, 8384, 741, 993, 6748, 1884, 923, 630, 24392, 3972, 721, 267, 602, 4805, 568, 4502, 621, 1040, 2368, 2081, 1373, 513, 26560, 570, 2658, 5546, 721, 883, 1134, 25454, 2043, 1331, 1384, 265, 15043, 5539, 281, 14171, 5279, 540, 1776, 1272, 3340, 11428, 543, 12477, 269, 1635, 22867, 547, 12391, 585, 519, 17944, 267, 596, 6542, 15657, 543, 2208, 563, 265, 31514, 8343, 1983, 281, 9796, 532, 3007, 547, 1507, 3877, 6927, 950, 3168, 1310, 2831, 269, 28552, 16994, 8343, 18922, 883, 4824, 1445, 543, 1620, 2066, 5396, 563, 265, 8490, 6015, 281, 29923, 1007, 4247, 1128, 1571, 11348, 543, 1582, 12431, 4269, 269, 19457, 707, 6791, 7512, 16542, 543, 11942, 2318, 3347, 1369, 519, 1153, 2146, 563, 265, 4045, 532, 609, 2470, 281, 3955, 716, 532, 609, 2661, 2831, 2620, 839, 7071, 585, 7320, 543, 8134, 269, 715, 4669, 1005, 4296, 609, 938, 1604, 5252, 919, 2825, 19642, 2418, 780, 26244, 2358, 17944, 1522, 3100, 23349, 585, 606, 10026, 1153, 267, 855, 11709, 681, 879, 321, 16504, 5088, 806, 5499, 4485, 547, 6536, 11455, 1646, 1851, 922, 1053, 269, 3414, 3292, 899, 519, 26560, 570, 11367, 11036, 267, 649, 11441, 547, 6318, 17519, 267, 7722, 4961, 4712, 547, 9784, 2104, 2591, 18390, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 309, 534, 681, 879, 321, 16504, 3427, 454, 763, 17944, 693, 11709, 681, 879, 321, 16504, 2731, 798, 4341, 519, 887, 739, 269, 29100, 676, 519, 1153, 1282, 12424, 543, 596, 3580, 1265, 513, 1166, 25744, 540, 2534, 676, 519, 9269, 23132, 607, 1053, 2638, 538, 593, 741, 5172, 646, 985, 269, 2755, 8384, 519, 5017, 685, 1884, 923, 2488, 7899, 540, 9913, 267, 519, 1153, 779, 9030, 267, 14400, 717, 5435, 267, 3413, 8787, 972, 779, 1454, 811, 538, 1404, 563, 14071, 960, 2182, 547, 1020, 1134, 25454, 1762, 1004, 267, 3257, 938, 851, 547, 948, 938, 1053, 581, 741, 1655, 30441, 3232, 2223, 1352, 6941, 269, 4804, 547, 1416, 585, 519, 1153, 779, 17944, 8309, 547, 602, 3804, 563, 2026, 8772, 17603, 267, 1053, 666, 1831, 968, 2419, 1157, 523, 570, 11367, 1848, 1306, 519, 2140, 5267, 267, 789, 8263, 5539, 585, 519, 5017, 267, 896, 519, 4585, 995, 3750, 540, 4116, 23718, 4858, 576, 269, 1715, 713, 1032, 267, 1053, 689, 519, 1153, 779, 5020, 10341, 1362, 8678, 519, 26560, 570, 2658, 16034, 267, 14178, 519, 1565, 543, 5718, 3255, 547, 930, 540, 11709, 681, 879, 321, 779, 693, 16151, 6107, 563, 2108, 310, 10248, 519, 1159, 3796, 602, 519, 17944, 3142, 547, 782, 540, 519, 1053, 267, 1256, 1346, 602, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6637, 7170, 281, 1879, 519, 10610, 781, 17865, 20946, 3619, 15917, 342, 790, 281, 589, 6733, 883, 17925, 9622, 2102, 2886, 692, 5331, 596, 4312, 1175, 8737, 513, 17175, 2257, 4603, 1210, 1114, 20919, 547, 1711, 4190, 14848, 269, 1809, 1018, 952, 649, 5143, 596, 602, 972, 779, 1776, 2186, 540, 6070, 1765, 331, 603, 1756, 6070, 20196, 1223, 2244, 596, 538, 930, 3978, 8373, 286, 3143, 12627, 1818, 1934, 256, 901, 942, 267, 1577, 781, 2263, 875, 4509, 7059, 16864, 2157, 538, 938, 4703, 568, 2629, 267, 2523, 1282, 2564, 18002, 5473, 5714, 543, 32690, 899, 16864, 269, 16319, 10578, 286, 2913, 781, 4685, 1318, 538, 2439, 1805, 800, 5503, 281, 20821, 6341, 13183, 320, 267, 513, 6505, 543, 8049, 21632, 1178, 1457, 945, 14560, 4730, 13558, 1310, 1153, 269, 4438, 1200, 2063, 3014, 267, 1352, 5433, 811, 13110, 982, 8912, 855, 2219, 621, 729, 1317, 540, 9363, 909, 3735, 18138, 513, 1788, 269, 5403, 3766, 877 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 22476, 707, 2371, 269, 3683, 22476, 666, 2014, 707, 2371, 547, 530, 2830, 267, 1831, 536, 684, 3481, 909, 267, 543, 1020, 16507, 936, 29115, 269, 3958, 267, 952, 707, 2371, 1205, 1932, 1454, 1216, 693, 2899, 267, 789, 949, 546, 3497, 269, 1635, 14450, 707, 2371, 538, 519, 6640, 267, 596, 2285, 873, 942, 547, 10110, 519, 1216, 2429, 519, 1554, 543, 2057, 1022, 1761, 2042, 563, 763, 1655, 1259, 547, 1216, 707, 2371, 454, 2691, 14450, 707, 2371, 267, 596, 723, 547, 1491, 883, 2272, 513, 1906, 1919, 269, 3689, 540, 782, 267, 2141, 1216, 707, 2371, 538, 519, 6640, 543, 10543, 865, 519, 3037, 666, 3819, 856, 3533, 269, 5822, 540, 782, 267, 1216, 707, 2371, 538, 513, 1259, 602, 4465, 1406, 2014, 873, 547, 1205, 1216, 8421, 3022, 269, 1411, 666, 849, 1216, 2371, 950, 519, 3037, 7959, 3819, 267, 855, 1118, 2386, 547, 1216, 873, 5781, 865, 602, 519, 2371, 1810, 1406, 1205, 1216, 8421, 3022, 563, 2691, 547, 1216, 707, 2371, 454, 2691, 621, 2501, 547, 14450, 707, 1494, 1540, 2371, 267, 972, 616, 513, 1906, 1919, 547, 1832, 538, 2247, 269, 4826, 532, 707, 2371, 538, 519, 6640, 543, 10543, 568, 519, 1034, 1271, 3364, 547, 798, 267, 855, 596, 666, 849, 1216, 873, 950, 519, 3037, 7959, 3819, 269, 3807, 1118, 2386, 547, 1216, 873, 5781, 865, 789, 1810, 1406, 1205, 1216, 8421, 3022, 269, 3371, 616, 930, 4388, 593, 875, 547, 1216, 707, 2371, 1510, 873, 3478, 530, 23926, 8421, 3022, 912, 268, 2691, 14450, 707, 2371, 267, 1118, 2386, 547, 946, 513, 1216, 17366, 339, 519, 2450, 540, 513, 890, 320, 563, 268, 2252, 596, 616, 1210, 513, 25652, 267, 1118, 2386, 519, 1216, 568, 18644, 519, 2030, 2047, 543, 711, 4881, 1055, 519, 2666, 563, 5025, 341, 1355, 936, 14450, 707, 2371, 282, 952, 519, 3037, 7959, 3819, 267, 1039, 513, 2370, 1216, 267, 855, 1810, 1406, 936, 4777, 621, 563, 3086, 602, 596, 917, 950, 543, 875, 547, 1216, 707, 2371, 267, 621, 779, 942, 547, 1451, 827, 930, 540, 519, 824, 2640, 540, 14450, 873, 538, 519, 6640, 543, 10543, 269, 1635, 1739, 891, 4388, 267, 596, 786, 581, 4180, 602, 707, 2371, 1205, 519, 1655, 1416, 2009, 269, 3371, 616, 1175, 513, 1906, 540, 519, 2640, 912, 5336, 528, 940, 14450, 11148, 547, 581, 811, 5567, 3638, 267, 799, 666, 948, 707, 2371, 1020, 6793, 5072, 543, 5810, 563, 7232, 1597, 532, 14450, 568, 1732, 585, 5329, 707, 2371, 3579, 1282, 28555, 1554, 5210, 563, 1692, 547, 1216, 707, 2371, 454, 2467, 616, 513, 1906, 2081, 547, 1216, 707, 2371, 267, 543, 1142, 814, 922, 1378, 2640, 543, 19363, 563, 3080, 1259, 547, 1216, 707, 2371, 568, 547, 1216, 873, 538, 519, 6640, 543, 1287, 1586, 538, 519, 10543, 269, 901, 2636, 519, 2371, 547, 1205, 513, 1434, 2179, 540, 1216, 2429, 519, 1554, 267, 1247, 9319, 1216, 8421, 3101, 563, 5194, 1259, 547, 1216, 707, 2371, 568, 950, 519, 3037, 7959, 3819, 269, 1717, 267, 596, 1058, 4248, 873, 5781, 865, 602, 789, 1810, 1406, 1205, 1216, 8421, 3022, 269, 1403, 707, 2371, 1831, 1216, 8421, 3022, 267, 741, 5072, 786, 4232, 543, 789, 786, 5884, 563, 7661, 267, 596, 666, 849, 1216, 707, 2371, 950, 519, 3037, 5654, 3819, 855, 7959, 6632, 547, 519, 5905, 269, 901, 568, 2356, 513, 1434, 16315, 602, 519, 2030, 2115, 1216, 269, 5269, 2386, 547, 4248, 707, 2371, 5781, 267, 2705, 267, 865, 602, 789, 1810, 1406, 1205, 1216, 8421, 3022, 563, 13014, 2386, 547, 1216, 707, 1494, 1540, 2371, 5781, 865, 602, 789, 3251, 2635, 543, 1413, 1390, 2336, 268, 16424, 623, 1824, 585, 20050, 540, 8376, 610, 28100, 1692, 547, 7383, 28080, 9643, 4826, 4578, 883, 25515, 1299, 15692, 20965, 268, 18610, 590, 1417, 568, 519, 31597, 12708, 13813, 585, 2353, 1530, 3517, 763, 20416, 540, 4195, 543, 2973, 2011, 568, 519, 10700, 20965, 268, 476, 1015, 8342, 543, 19889, 6363, 7037, 18467, 547, 12567, 538, 2659, 13574, 5851, 8340, 476, 1015, 8342, 543, 14168, 18467, 547, 12567, 538, 2659, 20965, 268, 1215, 547, 5269, 2659, 6301, 8433, 2859, 8605, 633, 2252, 596, 1616, 547, 1118, 707, 5604, 811, 11327, 267, 972, 20965, 268, 1215, 547, 1216, 2371, 538, 1007, 17428, 899, 513, 20148, 609, 713, 2653, 5134, 532, 1062, 256, 2252, 596, 2461, 1007, 547, 14450, 2371, 538, 1007, 17428, 267, 713, 20965, 268, 1215, 547, 1711, 519, 3501, 10786, 4677, 538, 1175, 513, 1906, 2110, 4374, 2252, 596, 1616, 547, 1711, 513, 4190, 267, 2635, 10786, 4677, 20965, 268, 30751, 631, 636, 7233, 281, 634, 12829, 10158, 547, 5410, 9314, 547, 2659, 5851, 2252, 596, 2461, 3168, 585, 513, 2030, 602, 779, 1312, 4190, 543, 20965, 268, 968, 1692, 1677, 5901, 2659, 12518, 18610, 543, 15346, 10801, 634, 14400, 14333, 23027, 892, 2252, 596, 2461, 3168, 547, 1832, 707, 2371, 2635, 543, 4195, 20965, 268, 1215, 547, 2972, 519, 4195, 20416, 540, 707, 4677, 782, 4832, 1279, 19185, 585, 513, 1259, 547, 2972, 519, 4195, 20416, 540, 31218 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1012, 23586, 4542, 692, 763, 7503, 3815, 689, 12945, 17744, 547, 1232, 4106, 619, 568, 476, 271, 269, 4905, 267, 799, 1797, 602, 476, 272, 12945, 1298, 9014, 568, 3160, 547, 476, 271, 269, 4905, 1232, 4106, 619, 1384, 272, 4699, 274, 815, 476, 271, 269, 4905, 546, 299, 692, 2414, 6460, 476, 4649, 273, 269, 277, 12945, 17744, 883, 1232, 4106, 619, 649, 723, 547, 9062, 476, 4649, 273, 269, 277, 676, 519, 7503, 3815, 538, 1931, 547, 1205, 519, 4320, 2179, 689, 12945, 17744, 547, 1232, 4106, 619, 269, 1284, 666, 849, 1106, 513, 2241, 8167, 547, 5173, 519, 1267, 1384, 272, 4699, 274, 9890, 476, 271, 269, 4905, 546, 299, 692, 4649, 273, 269, 277, 4699, 274, 9890, 966, 5560, 299, 2020, 24169, 519, 1657, 8167, 547, 3489, 519, 4320, 966, 538, 1232, 4106, 619, 1384, 309, 5560, 299, 264, 815, 476, 4649, 273, 269, 277, 4699, 274, 6398, 476, 271, 269, 4905, 546, 299, 692, 309, 5560, 299, 264, 815, 476, 276, 269, 276, 2918, 546, 299, 692, 763, 3803, 1267, 568, 1384, 4649, 273, 269, 277, 4699, 274, 9890, 476, 276, 269, 276, 2918, 546, 299, 692, 2171, 9959, 602, 476, 4649, 273, 269, 277, 12945, 17744, 568, 6697, 547, 476, 276, 269, 276, 2918, 1232, 4106, 619, 1384, 4649, 273, 269, 277, 12945, 17744, 815, 476, 276, 269, 276, 2918, 1232, 4106, 619, 692, 1012, 20010, 7503, 692, 2171, 666, 849, 6460, 676, 9001, 519, 11201, 1871, 540, 519, 7503, 3815, 269, 769, 713, 2013, 476, 272, 1232, 559, 3438, 568, 3160, 547, 476, 271, 269, 5197, 280, 7830, 278, 2641, 6858, 280, 3451, 6398, 476, 4649, 273, 269, 277, 12945, 17744, 780, 5194, 1259, 568, 6031, 602, 476, 4649, 273, 269, 277, 12945, 17744, 568, 3160, 547, 476, 272, 21680, 476, 271, 269, 5197, 280, 7830, 278, 2641, 6858, 280, 3451, 1232, 4106, 619, 780, 1012, 20976, 1493, 1267, 692, 2690, 4052, 5301, 649, 666, 5180, 938, 3803, 1267, 547, 606, 16977, 10230, 1871, 269, 1284, 666, 2161, 602, 2947, 4627, 15823, 26690, 1448, 3670, 12945, 17744, 568, 5111, 2947, 1448, 2947, 1079, 3670, 1232, 4106, 619, 1384, 4649, 273, 269, 277, 4699, 274, 9881, 483, 476, 276, 269, 276, 2918, 546, 299, 692, 2304, 4244, 568, 849, 602, 835, 1232, 559, 3438, 568, 5111, 4642, 1448, 835, 5216, 835, 2053, 2947, 4627, 15823, 26690, 1448, 3670, 12945, 17744, 780, 1012, 23586, 3349, 692, 2162, 12945, 17744, 547, 1232, 4106, 619, 5750, 692, 2690, 2656, 4704, 5301, 267, 2630, 568, 519, 7503, 3349, 596, 666, 946, 547, 6460, 689, 12945, 17744, 547, 1232, 4106, 619, 692, 31957, 545, 17744, 630, 9492, 274, 264, 1232, 4106, 619, 630, 323, 299, 994, 4649, 274, 269, 277, 12945, 17744, 476, 276, 269, 276, 3607, 1232, 4106, 619, 454, 4649, 275, 269, 277, 12945, 17744, 476, 276, 269, 276, 5379, 1232, 4106, 619, 454, 27898, 269, 277, 12945, 17744, 476, 276, 269, 4649, 277, 1232, 4106, 619, 454, 4649, 277, 269, 277, 12945, 17744, 476, 276, 269, 276, 5780, 1232, 4106, 619, 454, 4649, 278, 269, 277, 12945, 17744, 476, 276, 269, 6872, 277, 1232, 4106, 619, 454, 4649, 279, 269, 277, 12945, 17744, 476, 276, 269, 6812, 277, 1232, 4106, 619, 454, 4649, 280, 269, 277, 12945, 17744, 476, 276, 269, 6795, 277, 1232, 4106, 619, 454, 28794, 269, 277, 12945, 17744, 476, 276, 269, 2568, 277, 1232, 4106, 619, 454, 6321, 272, 269, 277, 12945, 17744, 476, 276, 269, 277, 1626, 1232, 4106, 619, 454, 6321, 273, 269, 277, 12945, 17744, 476, 276, 269, 277, 2918, 1232, 4106, 619, 0, 258, 5441, 2637, 269, 4569, 692, 14006, 539, 676, 16317, 2467, 616, 476, 277, 2053, 607, 1082, 546, 1307, 607, 20453, 267, 543, 476, 277, 2053, 811, 12183, 1564, 982, 20453, 269, 1403, 596, 723, 8096, 276, 269, 3583, 267, 875, 1454, 2724, 798, 596, 723, 538, 20453, 2496, 1892, 5441, 2637, 269, 4569, 910, 692, 311, 1627, 339, 3464, 563, 277, 311, 667, 1307, 563, 11583, 266, 277, 264, 19162, 1564, 780, 1839, 20080, 1341, 476, 1015, 265, 277, 311, 1341, 476, 276, 16732, 311, 266, 277, 264, 815, 476, 31816, 563, 1839, 343, 1341, 476, 2568, 343, 1341, 476, 276, 343, 266, 1789, 815, 476, 31816, 454, 3445, 343, 815, 476, 31816, 268, 1789, 815, 476, 25851, 454, 311, 815, 476, 277, 2372, 11467, 563, 8649, 870, 815, 476, 277, 2608, 8096, 269, 1839, 815, 8096, 272, 269, 2004, 780, 1012, 5381, 5999, 692, 272, 269, 12693, 7223, 692, 302, 21993, 269, 594, 6415, 476, 5655, 3843, 547, 948, 1250, 683, 15343, 342, 609, 7223, 543, 13071, 1175, 2161, 621, 781, 1044, 1659, 327, 850, 2807, 11192, 2724, 8096, 476, 6200, 269, 1839, 476, 3393, 811, 546, 1307, 982, 12183, 1564, 476, 274, 2053, 607, 1082, 20453, 607, 546, 1307, 269, 1215, 1082, 12183, 1564, 267, 546, 1307, 1299, 20453, 888, 273, 269, 12693, 2979, 692, 288, 17493, 3919, 568, 10655, 1689, 547, 6318, 1395, 599, 269, 1358, 723, 6394, 7466, 607, 1082, 546, 1307, 607, 20453, 267, 476, 2420, 811, 12183, 1564, 982, 546, 1307, 267, 543, 476, 274, 2053, 607, 1082, 30779, 625, 607, 12183, 1564, 269, 513, 264, 5581, 513, 4756, 585, 519, 1297, 540, 20453, 6394, 269, 6693, 274, 269, 12693, 2979, 692, 288, 17493, 3919, 568, 10655, 1689, 547, 6318, 1395, 599, 269, 1358, 723, 6394, 7466, 607, 1082, 546, 1307, 607, 20453, 267, 476, 2420, 811, 12183, 1564, 982, 546, 1307, 267, 543, 476, 274, 2053, 607, 1082, 30779, 625, 607, 12183, 1564, 269, 513, 264, 5581, 513, 4756, 585, 519, 1297, 540, 20453, 6394, 269, 6693, 275, 269, 12693, 13878, 295, 670, 5085, 303, 692, 288, 17493, 3919, 568, 10655, 1689, 547, 6318, 1395, 599, 269, 1358, 723, 6394, 7466, 607, 1082, 546, 1307, 607, 20453, 267, 476, 2420, 811, 12183, 1564, 982, 546, 1307, 267, 543, 476, 274, 2053, 607, 1082, 30779, 625, 607, 12183, 1564, 269, 513, 264, 5581, 513, 4756, 585, 519, 1297, 540, 20453, 6394, 269, 6693, 276, 269, 12693, 13878, 295, 692, 320, 1625, 572, 3568, 8096, 272, 269, 3374, 538, 20453, 12183, 1564, 543, 546, 1307, 1703, 616, 476, 274, 2053, 607, 1082, 546, 1307, 607, 20453, 543, 476, 274, 811, 12183, 1564, 982, 20453, 269, 1265, 519, 1297, 540, 1142, 11777, 454, 277, 269, 12693, 4569, 692, 305, 3578, 773, 814, 476, 1015, 11113, 267, 782, 2901, 12183, 1564, 267, 546, 1307, 267, 610, 20453, 269, 2701, 814, 715, 12183, 1564, 267, 667, 546, 1307, 267, 543, 1627, 20453, 267, 1141, 715, 267, 667, 267, 543, 1627, 616, 782, 1114, 267, 543, 616, 1142, 693, 2547, 476, 272, 269, 29055, 569, 267, 1352, 1131, 723, 519, 1482, 2179, 540, 2724, 952, 1352, 1185, 1627, 6693, 278, 269, 12693, 4569, 692, 305, 4954, 2161, 646, 814, 3160, 1297, 540, 546, 1307, 543, 20453, 543, 2185, 2053, 607, 1082, 12183, 1564, 543, 546, 1307, 568, 476, 2004, 21347, 811, 982, 519, 1871, 540, 1010, 20453, 269, 1215, 1082, 540, 1142, 2186, 540, 11777, 1281, 646, 723, 15017, 279, 269, 12693, 7223, 692, 297, 574, 814, 930, 12183, 1564, 267, 546, 1307, 543, 20453, 4502, 8096, 276, 269, 1789, 269, 1703, 616, 2947, 2053, 607, 1082, 546, 1307, 607, 20453, 267, 543, 3670, 811, 12183, 1564, 982, 546, 1307, 269, 1215, 1082, 540, 1142, 2186, 540, 11777, 1281, 646, 723, 888, 280, 269, 12693, 7223, 692, 288, 1920, 814, 513, 11777, 20220, 602, 568, 1631, 2407, 269, 634, 1453, 1293, 519, 1689, 543, 5173, 519, 2698, 1871, 547, 581, 8096, 3066, 269, 5655, 269, 2913, 1627, 2099, 519, 1297, 540, 20453, 543, 946, 519, 1344, 2630, 547, 1265, 519, 1297, 540, 1142, 11777, 269, 1703, 616, 281, 476, 15946, 6693, 1015, 269, 12693, 5441, 10789, 692, 300, 4157, 592, 814, 15478, 272, 269, 2568, 538, 12183, 1564, 267, 546, 1307, 267, 543, 20453, 269, 1261, 814, 8370, 811, 546, 1307, 982, 20453, 543, 3670, 811, 12183, 1564, 982, 20453, 269, 1215, 1082, 540, 1142, 11777, 616, 538, 1010, 17927, 269, 546, 284, 258, 546, 1307, 562, 284, 258, 12183, 1564, 7117, 284, 1948, 20453, 546, 266, 333, 266, 336, 284, 272, 269, 2568, 546, 266, 280, 284, 336, 562, 266, 277, 284, 336, 476, 271, 269, 272, 323, 266, 271, 269, 4962, 333, 266, 271, 269, 1839, 336, 284, 272, 269, 2568, 692, 5415, 5381, 5999, 0, 258, 476, 273, 5937, 13424, 18527, 6096, 281, 7756, 7007, 692, 11900, 728, 281, 6744, 856, 713, 3308, 1505, 540, 3450, 476, 273, 18251, 8691, 547, 1053, 269, 1452, 2189, 2994, 585, 3818, 18251, 8691, 946, 3308, 5546, 267, 4778, 267, 543, 3113, 1957, 547, 3391, 2875, 1565, 780, 296, 11613, 700, 10976, 292, 713, 21630, 3308, 1505, 540, 3450, 476, 273, 18251, 1535, 476, 273, 18251, 8691, 269, 901, 4640, 2337, 1053, 1451, 18334, 267, 4443, 267, 543, 1510, 865, 1454, 535, 1380, 256, 1656, 596, 666, 2119, 621, 856, 585, 17676, 256, 1109, 763, 1655, 851, 827, 713, 1505, 568, 602, 21934, 13783, 2488, 2347, 8112, 547, 2743, 519, 2115, 540, 20231, 1053, 780, 1012, 634, 9208, 23990, 2349, 1132, 692, 2791, 1522, 3277, 547, 476, 273, 18251, 8691, 607, 5595, 18251, 8691, 267, 1279, 8691, 267, 543, 3818, 18251, 8691, 269, 634, 3044, 5690, 3340, 602, 1053, 917, 2596, 8691, 5013, 9425, 1134, 780, 763, 811, 31402, 1053, 616, 609, 2596, 5013, 267, 519, 811, 2634, 12741, 789, 723, 2139, 547, 1451, 519, 5650, 269, 1109, 1656, 602, 779, 1419, 851, 540, 519, 6560, 1053, 3068, 780, 1892, 7427, 519, 2953, 5650, 267, 799, 814, 1896, 3268, 563, 1892, 7412, 909, 741, 2338, 543, 9587, 563, 1892, 3503, 28426, 1109, 10490, 1188, 256, 1924, 1082, 3214, 666, 1406, 1224, 741, 1378, 1603, 1107, 602, 779, 1776, 5816, 2022, 585, 1776, 942, 2020, 2691, 621, 2501, 547, 476, 273, 18251, 8691, 267, 972, 616, 865, 1082, 3255, 585, 1053, 547, 1118, 9073, 269, 9578, 267, 1053, 1175, 1810, 1406, 1205, 621, 2439, 12812, 585, 1776, 17676, 8691, 4640, 1983, 3640, 2439, 10743, 666, 5693, 1294, 1109, 1492, 3268, 1109, 553, 789, 4194, 3818, 9912, 8691, 2042, 269, 634, 5546, 593, 891, 3211, 11617, 3391, 1053, 4724, 6707, 6061, 519, 2042, 780, 22923, 17140, 666, 581, 20427, 4389, 1317, 1053, 666, 2965, 1294, 519, 11144, 540, 519, 3268, 269, 1358, 3580, 2744, 6015, 543, 6368, 1174, 2439, 3528, 3274, 19551, 602, 968, 290, 597, 3380, 979, 609, 10580, 892, 543, 968, 306, 638, 4100, 979, 609, 10945, 2223, 1053, 2744, 6015, 602, 5012, 547, 1967, 780, 1012, 1215, 7756, 7007, 5029, 9088, 543, 6096, 6435, 4841, 692, 4322, 21630, 476, 273, 5937, 13424, 18527, 3211, 543, 25696, 948, 1053, 538, 513, 1906, 1114, 2081, 1384, 272, 269, 6651, 3308, 6267, 998, 519, 8691, 1184, 454, 273, 269, 1325, 9892, 540, 2338, 543, 9587, 454, 274, 269, 3026, 520, 1145, 543, 1297, 2450, 1107, 10607, 3113, 558, 19318, 1983, 454, 275, 269, 32113, 3308, 7130, 454, 276, 269, 5029, 1242, 1603, 815, 6896, 3206, 692, 8855, 1107, 7743, 12972, 568, 11613, 2565, 547, 1967, 609, 8691, 543, 6498, 2439, 1012, 1215, 547, 2422, 7756, 7007, 6096, 543, 5029, 9088, 538, 2659, 15858, 692, 1892, 1452, 3817, 960, 4898, 2685, 547, 16174, 585, 1367, 2875, 2115, 563, 1892, 2422, 607, 21934, 13783, 607, 1053, 960, 2509, 7115, 563, 1892, 2422, 891, 3211, 547, 6338, 543, 12927, 8691, 1983, 563, 1892, 9540, 1895, 942, 585, 2259, 543, 556, 14482, 2286, 609, 4116, 779, 5583, 2519, 593, 2877, 1983, 563, 1892, 14581, 610, 4830, 960, 607, 513, 2689, 780, 12812, 610, 593, 519, 8666, 2630, 547, 4647, 513, 476, 273, 18251, 8691, 28013, 4976, 543, 513, 476, 273, 18251, 8691, 593, 3113, 1957, 630, 18485, 1510, 1022, 1036, 29470, 264, 11613, 17676, 547, 2119, 2439, 1012, 10261, 2859, 7756, 7007, 18527, 6096, 543, 9752, 11150, 2496, 12812, 593, 519, 6402, 2630, 547, 2638, 856, 930, 3606, 21630, 8691, 2200, 543, 4930, 780, 1692, 547, 17546, 11638, 5937, 13424, 18527, 543, 7043, 10406, 1107, 901, 5816, 2376, 786, 6338, 596, 547, 519, 21630, 8691, 543, 6498, 2200, 543, 875, 594, 946, 873, 538, 1250, 1378, 4928, 780, 273, 5937, 13424, 18527, 17214, 31418, 1512, 1107, 901, 5816, 2376, 2488, 513, 811, 538, 3829, 7778, 540, 875, 547, 946, 3818, 18251, 8691, 2200, 609, 707, 1053, 269, 898, 2882, 6266, 540, 5961, 2439, 273, 32693, 18527, 6096 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 25628, 268, 22332, 563, 25548, 5341, 267, 533, 269, 476, 25834, 563, 25548, 5341, 267, 533, 269, 476, 17168, 563, 594, 4983, 2630, 519, 1079, 8100, 646, 3947, 607, 2963, 585, 12611, 563, 25548, 5341, 5128, 5267, 9746, 18083, 607, 513, 2014, 585, 519, 8488, 540, 930, 16456, 338, 538, 12561, 17063, 8156, 538, 519, 476, 736, 628, 2540, 630, 335, 269, 476, 20065, 1916, 25548, 5341, 267, 533, 269, 476, 28760, 563, 25548, 5341, 267, 533, 269, 476, 27844, 563, 25548, 5341, 267, 533, 269, 476, 26825, 563, 4750, 540, 519, 5375, 5980, 540, 19296, 267, 4989, 476, 5002, 271, 267, 533, 269, 476, 8099, 563, 744, 6545, 594, 267, 7305, 10001, 267, 533, 269, 476, 6924, 269, 634, 2947, 616, 519, 13244, 3171, 267, 519, 595, 261, 292, 296, 267, 519, 13325, 6239, 267, 519, 9412, 6816, 267, 543, 519, 16713, 267, 17857, 1299, 7147, 563, 744, 6545, 594, 267, 6032, 269, 476, 5655, 268, 5392, 563, 18619, 540, 519, 32217, 5183, 267, 476, 5002, 278, 267, 533, 269, 476, 275, 563, 18619, 540, 519, 32217, 5183, 267, 476, 4489, 275, 267, 533, 269, 476, 3393, 269, 2271, 31013, 5944, 267, 25548, 5341, 19646, 540, 519, 2208, 540, 519, 32217, 5183, 538, 519, 1296, 2094, 922, 15713, 538, 476, 5002, 275, 281, 834, 300, 20047, 1222, 8057, 6385, 267, 8757, 476, 14991, 538, 476, 4489, 274, 1701, 630, 335, 269, 476, 17168, 1040, 3571, 4704, 568, 519, 1482, 3349, 3370, 538, 519, 476, 4489, 275, 18619, 269, 1261, 711, 1152, 23304, 12023, 519, 29997, 725, 267, 855, 646, 8959, 547, 5469, 602, 15376, 6603, 476, 8146, 538, 476, 4489, 274, 267, 711, 476, 14991, 563, 744, 6545, 594, 267, 6032, 269, 476, 6246, 268, 4510, 563, 18619, 540, 519, 32217, 5183, 267, 476, 4489, 271, 267, 533, 269, 476, 5780, 563, 18619, 540, 519, 32217, 5183, 267, 476, 4489, 271, 267, 533, 269, 476, 10463, 563, 18619, 540, 519, 32217, 5183, 267, 476, 4489, 272, 267, 533, 269, 476, 16409, 563, 4750, 540, 519, 9576, 5980, 540, 8551, 267, 5988, 476, 736, 476, 4489, 275, 267, 6032, 269, 476, 30525, 268, 25628, 269, 1261, 9193, 10110, 5406, 693, 476, 273, 547, 476, 277, 7273, 269, 829, 12945, 3723, 267, 1247, 538, 4641, 621, 729, 2356, 1063, 476, 276, 543, 476, 279, 7273, 269, 634, 10839, 568, 593, 533, 269, 476, 28143, 563, 769, 1312, 519, 32217, 5183, 543, 25758, 288, 18619, 540, 476, 4489, 276, 616, 16784, 13050, 7515, 6029, 519, 2164, 540, 1082, 2126, 2409, 267, 1519, 8899, 787, 543, 22859, 9429, 269, 634, 476, 4489, 277, 32217, 5183, 4320, 2882, 513, 476, 7761, 22240, 1867, 593, 17063, 7194, 269, 4033, 7515, 7902, 538, 2663, 12531, 563, 24020, 6520, 30657, 8291, 267, 5130, 476, 2918, 476, 4489, 278, 267, 533, 269, 476, 14983, 269, 5221, 594, 1100, 3476, 723, 1569, 547, 519, 476, 4489, 278, 32217, 5183, 18619, 630, 1492, 18518, 3557, 7732, 814, 3765, 31419, 922, 5299, 1070, 594, 3277, 547, 519, 2376, 834, 3519, 3685, 540, 8381, 3465, 21665, 262, 5948, 257, 3370, 538, 24020, 6520, 30657, 8291, 563, 25758, 288, 476, 1960, 278, 15015, 585, 24020, 7177, 267, 6032, 269, 476, 274, 268, 277, 268, 1015, 267, 476, 274, 268, 280, 268, 275, 563, 744, 6545, 594, 267, 7305, 966, 267, 533, 269, 476, 6924, 563, 744, 6545, 594, 267, 7305, 17886, 267, 533, 269, 476, 7597, 563, 744, 6545, 594, 267, 2876, 6945, 966, 267, 533, 269, 476, 4037, 563, 21805, 30657, 8291, 267, 4864, 476, 2641, 476, 5002, 274, 267, 533, 269, 476, 2568, 277, 563, 18619, 540, 519, 25758, 288, 267, 476, 5002, 271, 267, 6032, 269, 476, 10602, 268, 4281, 563, 769, 476, 2735, 279, 594, 1336, 18969, 538, 13218, 538, 5333, 6580, 689, 476, 6942, 271, 267, 476, 10619, 267, 476, 10602, 267, 476, 6507, 267, 476, 8064, 267, 593, 909, 547, 476, 2735, 274, 269, 634, 3370, 5638, 594, 723, 1336, 865, 2484, 2446, 3943, 4266, 18969, 1394, 547, 476, 6942, 274, 269, 6423, 21805, 30657, 8291, 267, 5130, 476, 2420, 267, 476, 5002, 275, 267, 533, 269, 476, 4649, 563, 18619, 540, 519, 32217, 5183, 267, 476, 4489, 272, 267, 533, 269, 476, 15946, 563, 744, 6545, 594, 267, 7305, 2473, 267, 533, 269, 476, 3583, 563, 18619, 540, 519, 25758, 288, 267, 476, 5002, 276, 267, 533, 269, 476, 278, 7597, 269, 22716, 529, 568, 538, 519, 3312, 563, 4750, 540, 519, 5375, 5980, 540, 19296, 267, 5239, 476, 5002, 276, 267, 533, 269, 476, 2568, 275, 563, 4239, 1511, 26960, 1393, 547, 661, 269, 645, 269, 595, 5241, 267, 5412, 476, 1704, 476, 5002, 273, 267, 2890, 28291, 556, 601, 476, 866, 267, 7732, 540, 6837, 282, 661, 269, 661, 269, 21651, 2558, 520, 2006, 267, 7797, 593, 519, 2422, 540, 19045, 570, 625, 543, 593, 3465, 969, 894, 22948, 543, 19045, 570, 773, 1773, 919, 585, 8381, 523, 570, 625, 269, 28743, 3143, 269, 476, 280, 267, 772, 2529, 269, 4972, 540, 11982, 267, 10406, 540, 32645, 269, 6115, 281, 6554, 24614, 8433, 267, 476, 6245, 275, 563, 4239, 1511, 26960, 1393, 547, 670, 269, 631, 269, 631, 19276, 267, 5147, 476, 1839, 476, 5002, 271, 267, 2890, 28291, 556, 601, 476, 1704, 267, 7732, 540, 6837, 563, 1280, 519, 661, 3149, 9440, 1449, 267, 1294, 538, 1880, 18619, 540, 519, 25758, 288, 267, 476, 4489, 276, 267, 6032, 269, 476, 6434, 272, 268, 279, 3445, 269, 2353, 4255, 616, 7396, 538, 1250, 1433, 630, 302, 6545, 267, 2019, 338, 269, 594, 543, 4083, 264, 896, 519, 9757, 16456, 338, 563, 6423, 744, 6545, 594, 267, 533, 269, 476, 14378, 269, 6164, 532, 2371, 585, 891, 16456, 338, 3459, 5665, 538, 476, 5002, 278, 268, 5400, 563, 18619, 540, 519, 25758, 288, 267, 476, 5002, 271, 267, 476, 10170, 742, 282, 476, 5002, 273, 267, 476, 14625, 742, 282, 476, 5002, 275, 267, 476, 10019, 268, 5952, 563, 634, 2030, 729, 6410, 547, 15593, 573, 534, 267, 654, 312, 538, 476, 5002, 272, 563, 18619, 540, 519, 32217, 5183, 267, 476, 4489, 272, 267, 533, 269, 476, 14338, 563, 18619, 540, 519, 32217, 5183, 267, 476, 4489, 272, 267, 533, 269, 476, 12553, 563, 18619, 540, 519, 32217, 5183, 267, 476, 4489, 272, 267, 533, 269, 476, 12553, 563, 5221, 4911, 1512, 5156, 602, 8900, 16052, 8156, 729, 513, 12611, 267, 646, 3769, 1100, 8899, 787, 610, 22859, 9429, 5701, 13218, 538, 1010, 4255, 269, 1306, 519, 1544, 7960, 789, 1128, 21114, 811, 4255, 267, 930, 538, 476, 4489, 271, 269, 769, 519, 1439, 789, 1185, 827, 476, 2918, 267, 1822, 13218, 896, 8343, 563, 24020, 6520, 30657, 8291, 267, 2904, 476, 277, 476, 4489, 271, 267, 533, 269, 476, 12208, 275, 282, 18619, 540, 519, 32217, 5183, 267, 476, 4489, 272, 267, 6032, 269, 476, 14338, 268, 9873, 267, 609, 4901, 547, 533, 269, 476, 9610, 563, 18619, 540, 519, 25758, 288, 267, 476, 4489, 272, 2019, 269, 476, 274, 267, 533, 269, 476, 275, 4097, 563, 744, 6545, 594, 267, 7305, 2473, 296, 267, 533, 269, 476, 3583, 269, 2201, 930, 3515, 267, 1519, 519, 13244, 3171, 267, 519, 13218, 538, 519, 1007, 1449, 6810, 941, 540, 519, 8723, 18137, 543, 5574, 1031, 2429, 519, 1062, 563, 18619, 540, 519, 32217, 5183, 267, 476, 4489, 272, 267, 533, 269, 476, 16928, 563, 661, 269, 570, 269, 1215, 5459, 267, 834, 32325, 540, 5329, 3444, 17063, 5638, 2580, 24020, 6520, 30657, 8291, 267, 5130, 476, 2537, 476, 4489, 275, 267, 6032, 269, 476, 9264, 268, 5908, 269, 634, 1482, 2376, 5526, 538, 519, 18619, 540, 519, 32217, 5183, 267, 476, 4489, 275, 267, 6032, 269, 476, 274, 4200, 268, 2412, 278, 269, 634, 10839, 568, 689, 24020, 6520, 30657, 8291, 267, 533, 269, 476, 9264, 563, 24020, 6520, 30657, 8291, 267, 5130, 476, 280, 476, 4572, 277, 267, 6032, 269, 476, 11260, 742, 563, 18619, 540, 519, 25758, 288, 267, 476, 4572, 273, 267, 6032, 269, 476, 14138, 275, 268, 4792, 563, 18619, 540, 519, 25758, 288, 267, 476, 4572, 273, 267, 533, 269, 476, 14138, 277, 563, 18619, 540, 519, 25758, 288, 267, 476, 4572, 273, 267, 533, 269, 476, 14138, 276, 269, 901, 5385, 3576, 1747, 1282, 519, 2063, 8400, 540, 519, 5870, 267, 593, 4728, 476, 1626, 269, 4911, 1512, 5747, 4728, 476, 2190, 563, 2986, 1576, 267, 2027, 4255, 540, 1808, 5574, 610, 6464, 941, 2760, 12628, 563, 1809, 835, 13300, 945, 538, 476, 3707, 272, 1223, 723, 1500, 946, 540, 513, 1867, 593, 519, 15325, 540, 476, 5002, 280, 25553, 261, 304, 13218, 5701, 676, 1614, 28572, 2409, 630, 25205, 267, 22210, 9116, 267, 543, 2407, 16052, 1212, 657, 1774, 1070, 610, 540, 476, 4489, 272, 4279, 8832, 13218, 5701, 609, 13058, 17296, 269, 4107, 540, 519, 7194, 3370, 941, 540, 1699, 1871, 267, 971, 607, 519, 476, 4489, 276, 9412, 6816, 4255, 540, 519, 8899, 787, 543, 22859, 9429, 3157, 563, 744, 6545, 594, 267, 7305, 2473, 296, 267, 533, 269, 476, 3583, 563, 744, 6545, 594, 267, 2876, 6945, 594, 267, 533, 269, 476, 10463, 563, 25548, 5341, 267, 533, 269, 476, 25834, 563, 25548, 5341, 267, 533, 269, 476, 27088, 563, 25548, 5341, 267, 6032, 269, 476, 17168, 267, 476, 25834, 630, 20584, 16694, 476, 2190, 1070, 476, 27628, 267, 476, 31696, 267, 476, 22430, 563, 25548, 5341, 267, 533, 269, 476, 27628, 563, 18619, 540, 519, 25758, 288, 267, 476, 5002, 277, 267, 533, 269, 476, 8064, 563, 24020, 6520, 30657, 8291, 267, 5988, 476, 273, 476, 4489, 278, 267, 533, 269, 476, 10204, 563, 25548, 5341, 267, 533, 269, 476, 22430, 563, 25548, 5341, 267, 533, 269, 476, 27123, 563, 25548, 5341, 267, 3723, 16694, 476, 866, 267, 533, 269, 476, 28760, 543, 3723, 16694, 476, 4391, 267, 533, 269, 476, 27628, 563, 3690, 13905, 540, 519, 6789, 4753, 267, 4873, 476, 5002, 272, 282, 4750, 540, 519, 5375, 5980, 540, 19296, 267, 5239, 476, 5002, 276, 267, 533, 269, 476, 2568, 276, 563, 3571, 834, 6642, 276, 268, 10436, 257, 585, 13244, 3171, 5654, 811, 899, 1010, 1378, 4266, 602, 513, 1462, 7240, 5470, 269, 594, 2285, 1896, 8100, 547, 519, 476, 6642, 276, 6679, 540, 519, 2030, 538, 1250, 1433, 269, 0, 297, 6072, 14691, 1107, 5153, 676, 5153, 5850, 454, 3721, 676, 17778, 10670, 1676, 6651, 547, 6258, 8629, 18112, 5034, 14691, 10084, 454, 297, 6072, 14691, 10854, 5055, 21584, 3883, 1923, 297, 6072, 5752, 10854, 5055, 5850, 1923, 10084, 10854, 5055, 21584, 3883, 5153, 1635, 5153, 454, 297, 6072, 5752, 29907, 5055, 5850, 543, 7824, 1433, 948, 596, 547, 917, 543, 4019, 1360, 1164, 1377, 5752, 1893, 547, 1020, 1483, 1272, 3498, 269, 10084, 568, 513, 5752, 1893, 543, 513, 3760, 12282, 6072, 568, 513, 1164, 1377, 267, 7347, 267, 17956, 543, 1843, 15129, 5752, 1893, 563, 8489, 621, 568, 1031, 888, 6097, 547, 6129, 267, 476, 274, 5479, 3457, 2196, 28162, 269, 1703, 616, 1082, 3457, 1141, 28162, 568, 4867, 1031, 269, 2368, 540, 873, 616, 607, 5205, 912, 5327, 330, 9008, 10241, 971, 607, 1035, 13681, 520, 5467, 267, 2923, 6345, 267, 28456, 3092, 563, 16158, 10241, 971, 607, 3352, 551, 322, 16691, 23357, 267, 795, 822, 520, 4812, 2593, 3092, 563, 11767, 21215, 10241, 971, 607, 12948, 3156, 563, 297, 6072, 20861, 610, 11759, 10084, 20861, 610, 10084, 14691, 20861, 568, 513, 4922, 1031, 7347, 2029, 269, 2913, 779, 1376, 1565, 540, 28162, 689, 2596, 2055, 899, 1018, 568, 28162, 5850, 267, 4295, 28162, 267, 1141, 621, 568, 1031, 267, 1018, 1826, 540, 3156, 616, 2813, 538, 28162, 543, 1946, 946, 28162, 563, 2791, 666, 1376, 519, 5752, 1565, 609, 713, 10084, 5752, 29907, 5055, 7824, 1433, 269, 16593, 596, 1810, 1406, 991, 3105, 5752, 1702, 547, 1451, 10084, 1900, 676, 1900, 269, 5221, 519, 1433, 568, 2854, 971, 513, 1259, 1022, 30497, 5467, 666, 3362, 1174, 519, 1523, 269, 901, 1433, 568, 1034, 4052, 20218, 543, 1966, 6061, 1759, 269, 3962, 543, 1169, 3584, 814, 1044, 1459, 538, 513, 2653, 1259, 269, 9617, 585, 519, 581, 1375, 10719, 10084, 14691, 10854, 5055, 21584, 3883, 2073, 297, 6072, 5752, 10854, 5055, 5850, 616, 2016, 593, 713, 1433, 1900, 676, 1900, 563, 2791, 786, 1205, 1863, 23861, 609, 713, 1433, 799, 2337, 596, 547, 1294, 519, 3381, 540, 519, 1788, 607, 1134, 607, 3009 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1447, 11727, 3292, 563, 290, 987, 4301, 1153, 4116, 1140, 761, 542, 3466, 723, 1044, 6594, 1759, 593, 891, 1239, 585, 5466, 519, 9228, 20317, 540, 4116, 10457, 630, 10623, 626, 761, 10045, 267, 476, 1220, 276, 269, 2986, 1153, 2916, 607, 9228, 676, 3610, 630, 26872, 815, 476, 21327, 274, 264, 476, 7761, 476, 278, 835, 17574, 606, 13960, 540, 1614, 2010, 540, 18216, 4301, 3506, 543, 4162, 540, 1153, 2916, 607, 269, 901, 5039, 1670, 7634, 8947, 519, 11994, 540, 18216, 4301, 10026, 1153, 3610, 543, 741, 6780, 2853, 1369, 513, 28180, 563, 763, 5234, 5888, 540, 18216, 4301, 3506, 814, 13974, 1044, 5828, 593, 922, 2212, 267, 689, 543, 2844, 1164, 2157, 540, 4116, 7029, 543, 2875, 6278, 18216, 21095, 9228, 968, 21504, 1153, 892, 607, 711, 1175, 513, 3463, 547, 18216, 21095, 267, 855, 267, 607, 519, 1547, 10988, 760, 1023, 945, 15548, 538, 713, 1353, 9228, 782, 540, 519, 7907, 540, 519, 4998, 18216, 4301, 1153, 4116, 630, 3333, 574, 629, 4157, 1755, 267, 476, 1960, 274, 267, 476, 1960, 279, 264, 543, 519, 7907, 540, 563, 1607, 12007, 2013, 1353, 8268, 18216, 4301, 1153, 3610, 262, 11994, 540, 2188, 1644, 547, 1970, 6128, 9740, 538, 2034, 998, 269, 901, 1353, 12116, 4116, 6268, 538, 513, 18216, 4301, 1153, 1062, 543, 519, 11994, 540, 519, 21246, 1023, 543, 3610, 827, 519, 4116, 269, 0, 9596, 1946, 1582, 13282, 538, 8213, 6051, 568, 1271, 649, 666, 1082, 1004, 945, 2490, 547, 4568, 610, 5061, 798, 865, 1317, 789, 723, 513, 12402, 547, 581, 1582, 1673, 652, 10614, 269, 634, 1582, 1673, 652, 10614, 5615, 602, 21656, 8213, 723, 9434, 4539, 585, 519, 1964, 540, 519, 1920, 621, 779, 711, 9670, 950, 891, 2942, 4664, 11457, 883, 32659, 4724, 519, 1367, 10010, 609, 6219, 6057, 269, 634, 30380, 5168, 827, 3075, 8213, 543, 29270, 513, 1582, 1673, 652, 10614, 3659, 10010, 609, 3075, 8213, 267, 4638, 6057, 267, 1920, 13542, 543, 513, 1547, 1358, 616, 849, 811, 2693, 547, 4159, 1582, 1673, 652, 10614, 7234, 522, 7251, 543, 8213, 609, 513, 3448, 610, 513, 659, 781, 1920, 540, 8213, 2126, 6703, 1547, 8682, 1673, 652, 10614, 2623, 568, 1106, 540, 1582, 1673, 652, 10614, 2623, 1582, 1790, 640, 568, 16160, 1317, 2729, 540, 13982, 338, 543, 741, 2828, 543, 1920, 4586, 20236, 3620, 1301, 568, 606, 3665, 1106, 540, 1582, 1673, 652, 10614, 2623, 267, 855, 621, 949, 2408, 538, 1082, 824, 1368, 2478, 3123, 6689, 8194, 3842, 4638, 543, 2168, 6057, 267, 607, 1134, 607, 22314, 15366, 1416, 267, 723, 1044, 5532, 609, 1582, 1673, 652, 10614, 2623, 269, 23247, 543, 8213, 281, 476, 278, 4128, 707, 543, 9900, 20847, 1394, 547, 950, 707, 8213, 6878, 610, 519, 19076, 16433, 19060, 540, 1582, 1673, 652, 10614, 5615, 1547, 769, 602, 942, 267, 789, 723, 5280, 811, 982, 476, 736, 267, 1822, 2550, 538, 835, 540, 741, 1614, 538, 18345, 7740, 543, 476, 1839, 267, 1822, 28752, 538, 3084, 11925, 519, 803, 27595, 1158, 11665, 2319, 540, 9972, 8593, 3298, 267, 24004, 28748, 267, 16293, 543, 24784, 1521, 519, 2589, 540, 8213, 543, 519, 5817, 2152, 602, 2014, 15400, 3270, 540, 1582, 1673, 652, 10614, 2623, 269, 1284, 782, 723, 519, 1761, 585, 1582, 1673, 652, 10614, 21274, 267, 855, 538, 1004, 609, 513, 2178, 4250, 540, 9561, 1582, 20820, 267, 1582, 1673, 652, 2315, 666, 1831, 513, 8789, 4806, 563, 11754, 2109, 1101, 543, 1152, 1582, 25298, 1982, 8051, 585, 519, 2027, 630, 323, 652, 10614, 19450, 1582, 2389, 1779, 606, 4367, 547, 5100, 6051, 10378, 269, 1621, 1137, 538, 1582, 1673, 652, 10614, 713, 1867, 568, 606, 2079, 540, 519, 3123, 543, 2360, 540, 5208, 543, 540, 3075, 6057, 543, 8213, 267, 971, 607, 1920, 1547, 3509, 7218, 4283, 519, 1158, 540, 2126, 676, 1259, 540, 513, 3075, 6304, 534, 6304, 568, 513, 10319, 4674, 267, 1034, 1419, 267, 676, 519, 1920, 543, 2828, 540, 513, 1268, 945, 568, 2502, 538, 1582, 1673, 652, 10614, 2623, 602, 949, 2154, 3318, 6351, 538, 1931, 547, 7753, 269, 8682, 1673, 652, 10614, 2623, 568, 513, 16160, 4189, 6208, 543, 8213, 621, 568, 1271, 547, 3343, 948, 2038, 689, 1920, 543, 2828, 610, 707, 4387, 952, 596, 4586, 1432, 616, 519, 12178, 540, 3075, 8213, 513, 3102, 2126, 1982, 585, 3075, 8213, 2882, 1920, 519, 3803, 8594, 540, 8213, 568, 519, 2530, 540, 1582, 269, 28548, 6057, 267, 1071, 1673, 2570, 1890, 543, 1920, 1949, 2066, 5481, 513, 2596, 2631, 540, 17847, 543, 1970, 1582, 268, 16160, 5615, 269, 769, 519, 1459, 1353, 267, 476, 27004, 729, 32424, 547, 2992, 513, 12402, 547, 9101, 689, 1582, 267, 799, 814, 1044, 6069, 676, 22678, 2541, 3563, 547, 2272, 585, 1582, 1673, 652, 10614, 5615, 1851, 10708, 519, 2589, 28955, 676, 4950, 3014, 13982, 338, 616, 2147, 547, 1346, 540, 3075, 13982, 338, 543, 27690, 12464, 6840, 630, 326, 1245, 6199, 476, 1960, 277, 1989, 858, 603, 338, 476, 1960, 279, 1762, 476, 1960, 277, 1070, 799, 2014, 3978, 2168, 543, 5626, 14796, 547, 2043, 269, 594, 993, 1101, 13351, 676, 875, 2370, 948, 1022, 8292, 610, 5796, 2965, 3947, 1775, 723, 1044, 2324, 585, 1296, 547, 3247, 16462, 547, 581, 1582, 16160, 5103, 1373, 593, 6646, 585, 17299, 1775, 993, 1869, 29279, 547, 519, 1928, 540, 1373, 1582, 9552, 269, 11557, 8213, 2126, 281, 568, 3023, 606, 8213, 1582, 1673, 652, 10614, 267, 630, 18485, 585, 1071, 31507, 2590, 6219, 1039, 11881, 543, 585, 519, 3023, 8213, 3294, 264, 1920, 1949, 4586, 28848, 4713, 543, 8213, 281, 1946, 649, 3136, 547, 4497, 538, 1582, 1673, 652, 10614, 5615, 269, 901, 15717, 538, 1582, 20820, 568, 519, 10689, 5658, 540, 8213, 519, 31017, 543, 16160, 5615, 540, 8213, 1981, 540, 8213, 1753, 543, 1920, 269, 19255, 4771, 8213, 1557, 855, 10918, 666, 849, 1291, 547, 513, 1582, 1673, 652, 10614, 8213, 602, 786, 2014, 2883, 9568, 1920, 4876, 267, 1547, 18401, 4155, 4565, 4169, 281, 519, 13982, 779, 1148, 540, 8213, 568, 513, 1582, 1673, 652, 10614, 1184, 602, 1920, 1489, 610, 2673, 2828, 267, 938, 1582, 1606, 629, 582, 720, 729, 1101, 4646, 538, 4586, 11328, 26051, 3797, 1018, 568, 621, 971, 607, 7526, 609, 1920, 610, 2828, 610, 1713, 1272, 2242, 5786, 540, 1582, 1673, 652, 10614, 610, 20935, 5615, 269, 4284, 1227, 1582, 14124, 6411, 5312, 4606, 540, 7962, 1465, 1247, 1279, 2165, 30229, 21911, 568, 519, 2126, 540, 3903, 630, 5733, 1562, 517, 267, 476, 3192, 277, 8909, 822, 1195, 267, 476, 3192, 279, 22415, 639, 267, 476, 2735, 272, 1070, 30674, 3587, 2556, 950, 29047, 2623, 267, 1582, 1673, 652, 10614, 2623, 267, 610, 23644, 2618, 2670, 4386, 630, 611, 2401, 267, 476, 3192, 272, 267, 476, 3192, 274, 267, 476, 3192, 278, 267, 476, 2735, 272, 1040, 21619, 10818, 531, 543, 1582, 1673, 652, 10614, 267, 519, 7086, 698, 615, 1920, 1281, 513, 7168, 1434, 2816, 540, 18995, 1018, 621, 568, 899, 547, 1332, 909, 609, 1079, 29279, 3237, 593, 519, 4636, 2427, 540, 519, 13475, 1419, 29805, 513, 1920, 2068, 267, 8213, 5540, 1169, 4759, 540, 519, 1920, 269, 7731, 3435, 13508, 4099, 3091, 513, 11215, 13508, 1362, 585, 30223, 543, 693, 16151, 14038, 891, 5049, 616, 1920, 3797, 568, 606, 3617, 1935, 585, 513, 2647, 2039, 540, 12322, 945, 616, 18071, 1582, 16160, 6208, 563, 6826, 24173, 6530, 1315, 27666, 545, 860, 17144, 2932, 783, 267, 2019, 476, 2641, 267, 562, 23263, 476, 273, 267, 476, 1001, 274, 267, 6032, 476, 27244, 268, 25971, 10708, 543, 1582, 1673, 652, 10614, 19326, 281, 606, 30405, 2079, 540, 1920, 543, 1367, 269, 589, 1246, 5346, 1353, 540, 1279, 3410, 2360, 540, 13864, 593, 1453, 281, 2530, 540, 1582, 12635, 543, 1582, 1673, 652, 10614, 2623, 1851, 10708, 269, 1284, 782, 723, 519, 1761, 585, 1582, 1673, 652, 10614, 21274, 267, 855, 538, 1004, 609, 513, 2178, 4250, 540, 9561, 1582, 20820, 267, 1582, 1673, 652, 2315, 666, 855, 538, 1082, 3885, 267, 1547, 8682, 1673, 652, 10614, 3352, 22529, 1043, 1514, 2042, 602, 8213, 568, 513, 1920, 2068, 5431, 519, 1617, 3394, 518, 1049, 9371, 540, 22925, 4713, 269, 0, 763, 1650, 949, 723, 513, 1808, 4087, 543, 942, 267, 855, 621, 781, 711, 4010, 3140, 2965, 267, 2797, 3214, 1522, 581, 513, 1732, 21658, 281, 18296, 781, 9490, 2623, 568, 513, 269, 19768, 532, 519, 1514, 543, 2797, 14908, 602, 16876, 1714, 9626, 534, 519, 1259, 538, 799, 519, 1915, 540, 575, 1068, 337, 8775, 538, 12335, 781, 18296, 568, 1224, 543, 1010, 1557, 267, 5935, 6720, 553, 625, 281, 4453, 15342, 540, 4008, 543, 1379, 538, 1714, 9626, 534, 2016, 519, 1620, 540, 575, 1068, 337, 8775, 1759, 593, 519, 3140, 2796, 607, 1134, 607, 519, 269, 4828, 18296, 538, 19580, 281, 8144, 267, 7664, 543, 2773, 519, 11944, 540, 519, 1007, 9135, 729, 5702, 2404, 609, 519, 2797, 543, 538, 476, 4198, 278, 536, 1014, 5206, 513, 1279, 1557, 827, 713, 1404, 7421, 519, 3140, 4282, 547, 269, 12697, 267, 2200, 267, 10525, 543, 3211, 585, 281, 12335, 781, 4282, 267, 21604, 543, 20246, 6760, 6429, 7634, 267, 18296, 1557, 4367, 960, 563, 763, 6996, 616, 3844, 547, 1620, 18296, 607, 513, 1404, 543, 7114, 12335, 781, 1514, 543, 2797, 16555, 9019, 519, 2597, 540, 835, 781, 9019, 269, 17283, 281, 3140, 2796, 20947, 32333, 941, 782, 519, 30270, 538, 1714, 9626, 534, 24469, 538, 519, 2038, 547, 4571, 268, 14689, 271, 338, 267, 519, 6492, 9598, 730, 602, 519, 1973, 1512, 519, 1732, 281, 1547, 1280, 4548, 22967, 267, 5037, 267, 13972, 1299, 824, 5888, 1603, 476, 272, 476, 273, 267, 25834, 1341, 271, 8220, 519, 476, 276, 1412, 342, 5257, 338, 540, 1543, 543, 8658, 630, 6011, 1281, 519, 1404, 9305, 547, 519, 1158, 519, 3197, 267, 519, 4259, 267, 519, 6249, 267, 519, 1893, 610, 519, 6214, 972, 1522, 723, 2965, 1044, 513, 546, 4314, 3140, 4137, 3957, 18296, 269, 634, 2621, 543, 3197, 538, 18296, 24151, 519, 3140, 2796, 540, 13346, 10764, 543, 2797, 10462, 602, 1291, 547, 513, 2486, 5579, 5317, 7768, 538, 563, 1001, 274, 267, 1557, 593, 29827, 6692, 2917, 781, 2796, 910, 4126, 621, 781, 5363, 476, 1220, 278, 267, 2259, 1557, 585, 538, 11665, 4879, 267, 4693, 543, 554, 2675, 281, 18296, 270, 4592, 543, 1368, 559, 4967, 593, 519, 8658, 538, 12703, 1007, 1158, 1519, 2797, 267, 1514, 267, 2686, 267, 3140, 3092, 269, 8466, 2796, 585, 4622, 1059, 676, 13275, 12335, 476, 14028, 279, 267, 513, 19588, 676, 1100, 1797, 21407, 2016, 519, 2797, 6286, 540, 29165, 781, 29281, 1894, 2059, 609, 4249, 971, 607, 18296, 267, 15567, 3780, 32614, 267, 32335, 267, 543, 16664, 267, 1059, 814, 1547, 5131, 3594, 689, 536, 691, 548, 2421, 1923, 2577, 807, 767, 2993, 781, 519, 19036, 568, 513, 3391, 2854, 585, 519, 711, 1152, 513, 5856, 267, 855, 849, 607, 606, 9565, 14544, 540, 1686, 543, 2797, 2219, 513, 6476, 540, 12335, 781, 19036, 18296, 543, 2577, 807, 767, 2993, 781, 519, 19036, 28114, 811, 781, 2588, 18701, 543, 1010, 2796, 519, 7729, 10364, 3069, 540, 13919, 538, 563, 9827, 6941, 519, 3140, 543, 5339, 2796, 602, 6766, 18296, 543, 2797, 4998, 1572, 630, 514, 32204, 264, 1480, 26320, 9789, 2856, 602, 782, 540, 519, 7207, 543, 1547, 769, 713, 1557, 1775, 1616, 547, 2303, 930, 540, 519, 2081, 538, 799, 1053, 1522, 1589, 827, 2796, 267, 3483, 543, 15567, 3780, 32614, 519, 19036, 2796, 630, 25791, 267, 2686, 267, 3140, 264, 2093, 2418, 8456, 2577, 807, 767, 2993, 729, 513, 22964, 3901, 626, 1603, 513, 1007, 2797, 6138, 32614, 543, 607, 596, 899, 621, 543, 3459, 18296, 538, 23891, 4231, 1010, 269, 634, 13357, 540, 18296, 267, 19036, 540, 3954, 5658, 267, 1419, 27571, 547, 18296, 568, 513, 13357, 2854, 676, 538, 519, 1557, 18296, 1500, 2241, 267, 30602, 533, 575, 2632, 541, 7140, 519, 7515, 593, 519, 13915, 8947, 519, 1404, 538, 922, 3140, 2796, 267, 12394, 547, 4062, 1927, 922, 18296, 568, 1419, 5129, 609, 4207, 2797, 936, 2023, 525, 269, 15348, 540, 3961, 2565, 1557, 593, 18296, 2228, 6780, 3028, 513, 519, 2796, 540, 18296, 1224, 513, 6512, 476, 277, 18296, 1557, 2854, 676, 1686, 543, 6214, 568, 3746, 2213, 998, 519, 621, 568, 1152, 1498, 519, 10205, 618, 540, 1010, 1582, 1211, 640, 269, 5261, 12335, 267, 18296, 267, 4670, 9542, 267, 31444, 1338 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8609, 281, 476, 272, 543, 476, 273, 692, 289, 1716, 731, 645, 1725, 718, 15565, 930, 3119, 1153, 2042, 799, 946, 2338, 689, 519, 1604, 1472, 721, 267, 689, 23234, 547, 2777, 2338, 780, 2162, 7089, 570, 13715, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 13051, 5889, 23717, 338, 1362, 941, 5969, 909, 1297, 13475, 269, 3689, 789, 2759, 873, 883, 1000, 657, 543, 3773, 909, 519, 2338, 593, 1142, 4062, 269, 1548, 3270, 1223, 789, 1294, 2496, 2162, 2480, 1681, 609, 667, 823, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 296, 12235, 1614, 18062, 543, 1205, 476, 276, 267, 476, 274, 543, 476, 273, 269, 5410, 519, 8464, 593, 519, 1614, 18062, 269, 1548, 798, 596, 1205, 286, 3767, 9062, 519, 8464, 269, 1548, 798, 596, 5469, 2496, 2162, 1656, 1924, 593, 543, 1924, 2201, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 2252, 596, 5206, 782, 519, 2009, 2185, 7857, 2338, 1500, 676, 1210, 1142, 540, 519, 9704, 476, 273, 267, 476, 275, 267, 476, 276, 267, 476, 278, 2899, 267, 1018, 1131, 789, 1039, 909, 547, 2496, 2162, 13845, 1512, 781, 645, 2158, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 763, 8857, 267, 3627, 13845, 1512, 267, 11827, 891, 17446, 827, 476, 6110, 1296, 3516, 547, 948, 5173, 8691, 543, 6498, 269, 2052, 596, 960, 856, 875, 547, 946, 13845, 1512, 781, 7633, 547, 1265, 519, 2626, 547, 891, 3818, 4124, 2496, 2162, 8866, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 8340, 519, 2338, 538, 713, 2040, 692, 2162, 2806, 1495, 656, 10606, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 4366, 568, 1572, 606, 10731, 1297, 1317, 621, 568, 1447, 982, 519, 2040, 540, 922, 2188, 630, 23719, 3294, 1040, 2052, 596, 1265, 930, 811, 10731, 2338, 2496, 2162, 27199, 321, 2293, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 1103, 513, 4009, 538, 799, 519, 8075, 616, 14961, 22274, 267, 2338, 476, 274, 543, 476, 1015, 616, 6587, 1142, 824, 269, 1548, 568, 519, 10545, 543, 1018, 568, 519, 4102, 2009, 1297, 540, 8075, 538, 519, 4009, 2496, 2162, 634, 1849, 1442, 20447, 781, 17510, 1485, 595, 820, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 763, 9219, 20447, 781, 7385, 2759, 909, 1010, 14512, 14735, 547, 1413, 899, 513, 9219, 3068, 269, 2052, 596, 960, 856, 945, 4607, 1142, 4062, 2496, 2162, 29892, 4045, 8422, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 1103, 713, 3014, 519, 16771, 568, 519, 1101, 547, 2347, 513, 4737, 540, 1614, 269, 3657, 930, 10945, 4443, 547, 2244, 593, 982, 1866, 2496, 2162, 6341, 781, 16797, 5681, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 1432, 568, 519, 2040, 540, 782, 519, 1614, 7857, 2898, 2338, 2496, 2162, 595, 3298, 543, 2701, 788, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 8196, 707, 9266, 7744, 547, 960, 856, 875, 1082, 16933, 543, 875, 1082, 13265, 972, 616, 538, 1142, 2361, 780, 2162, 634, 5463, 320, 10326, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 8340, 856, 1018, 513, 5463, 320, 10326, 568, 543, 1287, 960, 856, 875, 1082, 3762, 972, 786, 581, 1310, 519, 3574, 12827, 614, 814, 2759, 1055, 513, 17657, 267, 513, 7936, 267, 513, 1000, 580, 543, 513, 6978, 780, 2162, 9050, 6153, 1145, 590, 820, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 8196, 476, 275, 2185, 2053, 609, 2241, 4238, 865, 602, 596, 1205, 519, 2626, 476, 1321, 269, 2052, 596, 1118, 476, 1428, 267, 476, 1626, 543, 476, 1704, 1932, 2496, 2162, 2098, 3930, 543, 14858, 14186, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 4002, 519, 4541, 966, 12320, 972, 616, 1079, 12204, 540, 7068, 269, 634, 2098, 3930, 723, 476, 274, 7953, 543, 519, 14858, 14186, 723, 476, 278, 7953, 269, 634, 1390, 19236, 24413, 715, 4815, 18886, 476, 7367, 7953, 269, 1215, 1082, 2098, 3930, 543, 875, 1082, 14858, 14186, 941, 972, 2496, 2162, 18521, 1901, 689, 519, 16836, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 20597, 2089, 344, 543, 17555, 616, 19526, 538, 513, 4055, 538, 513, 1804, 14500, 269, 634, 1883, 547, 602, 4055, 267, 543, 782, 519, 824, 11623, 267, 568, 513, 1297, 269, 634, 2338, 616, 19526, 2476, 538, 513, 1966, 269, 2052, 596, 948, 873, 547, 1205, 856, 2496, 2162, 10435, 23281, 540, 30142, 14476, 543, 10598, 2510, 692, 7462, 8609, 281, 476, 274, 692, 1607, 2376, 5267, 930, 2081, 540, 1818, 2631, 540, 9273, 5473, 2318, 543, 2942, 2338, 780, 2162, 5565, 2398, 1307, 5269, 2290, 12384, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 4692, 596, 1118, 4009, 2338, 676, 4946, 1079, 6305, 2338, 1927, 2496, 2162, 20944, 621, 585, 5565, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 294, 582, 898, 3014, 585, 606, 2937, 543, 1126, 269, 1215, 666, 596, 1404, 865, 602, 596, 917, 596, 786, 2141, 3094, 2496, 2162, 594, 6415, 20640, 692, 7462, 8609, 281, 476, 272, 267, 476, 273, 267, 476, 274, 543, 476, 275, 7420, 5426, 1384, 8340, 513, 1390, 3099, 540, 2081, 540, 6998, 2055, 799, 1118, 476, 279, 780, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 2252, 596, 1491, 513, 1614, 676, 1614, 4009, 593, 513, 476, 272, 268, 1015, 1840, 4009, 543, 9062, 519, 25241, 958, 6587, 2338, 1927, 267, 1018, 568, 519, 3017, 1063, 891, 2472, 269, 4208, 2496, 2162, 808, 13903, 540, 29879, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 2791, 723, 2185, 795, 13903, 540, 476, 280, 267, 476, 278, 267, 476, 275, 543, 476, 273, 30184, 4390, 269, 634, 476, 280, 1396, 516, 795, 1872, 568, 2407, 540, 9174, 267, 519, 1866, 616, 8900, 269, 2052, 596, 7941, 519, 9174, 883, 1614, 3160, 9424, 2496, 2162, 717, 5588, 8668, 3767, 692, 7462, 8609, 281, 476, 273, 543, 476, 274, 7420, 5426, 1384, 2690, 713, 4161, 267, 596, 3513, 991, 547, 1404, 20944, 898, 256, 2052, 596, 2491, 519, 4640, 585, 10888, 713, 3014, 609, 1022, 3077, 2496, 2162, 14520, 1772, 519, 5681, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 1432, 798, 519, 9704, 538, 519, 1297, 19939, 1039, 909, 547, 286, 1215, 1082, 824, 2338, 723, 9704, 609, 519, 1482, 2698, 855, 1100, 21325, 2496, 2162, 8187, 10793, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 288, 3014, 585, 476, 273, 610, 811, 5716, 609, 513, 3640, 540, 6486, 269, 4698, 1047, 707, 1983, 540, 1840, 267, 12408, 267, 8691, 543, 6498, 547, 5734, 519, 3077, 6060, 780, 2162, 18903, 8293, 4100, 585, 7981, 12769, 28913, 692, 7462, 8609, 281, 476, 274, 543, 476, 275, 692, 1607, 2376, 6941, 875, 547, 1118, 707, 1378, 9059, 4009, 547, 1665, 513, 2027, 8317, 609, 519, 2027, 4266, 540, 707, 3903, 593, 519, 1283, 1899, 780, 2162, 2290, 12984, 333, 1405, 12384, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 300, 3464, 21546, 267, 519, 1362, 781, 4116, 267, 8930, 2740, 2338, 5196, 519, 19758, 540, 1614, 1453, 269, 2422, 519, 1344, 547, 1265, 856, 1018, 519, 1614, 2338, 941, 780, 2162, 1975, 749, 676, 10606, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 4692, 596, 12990, 2338, 585, 519, 5022, 538, 891, 18304, 2496, 2162, 6884, 1284, 700, 846, 12085, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 11039, 1631, 267, 1018, 1131, 4755, 952, 649, 4503, 782, 519, 562, 1149, 538, 938, 1297, 1062, 286, 5620, 513, 979, 693, 1603, 519, 2338, 856, 538, 713, 1259, 543, 723, 513, 1413, 693, 519, 3818, 4124, 3349, 780, 2162, 1530, 4705, 8827, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 307, 523, 6486, 616, 2322, 883, 2947, 17158, 525, 865, 602, 972, 616, 1079, 6486, 538, 1142, 23508, 269, 634, 2040, 540, 519, 2338, 3330, 621, 568, 2854, 593, 1142, 23508, 269, 1548, 2338, 1223, 581, 3330, 519, 17158, 525, 2496, 2162, 774, 992, 513, 476, 1911, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 4692, 596, 6060, 476, 1911, 676, 18530, 14034, 593, 713, 4604, 286, 1772, 972, 811, 982, 1259, 547, 798, 621, 2496, 2162, 8943, 6601, 6033, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 1607, 1966, 568, 1759, 593, 513, 3009, 1210, 1079, 1114, 6305, 2338, 1447, 982, 476, 1015, 269, 1411, 3513, 991, 547, 9062, 873, 1927, 543, 6521, 519, 9904, 585, 2072, 676, 519, 1267, 269, 2052, 596, 21264, 519, 3009, 2496, 2162, 26062, 667, 22866, 20553, 14520, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 298, 520, 773, 1185, 513, 3640, 540, 476, 736, 6486, 22921, 689, 476, 272, 547, 476, 736, 269, 2701, 11231, 519, 6486, 883, 476, 277, 21376, 25985, 1141, 1142, 18061, 3773, 547, 519, 1482, 2698, 269, 1548, 729, 519, 2698, 543, 875, 1223, 713, 581, 2944, 2496, 2162, 19999, 320, 5403, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 2080, 616, 519, 5777, 585, 476, 272, 560, 543, 476, 273, 526, 1362, 13875, 1369, 519, 5177, 269, 1411, 723, 606, 19957, 1297, 540, 1142, 540, 891, 22827, 269, 6904, 22827, 1131, 596, 991, 547, 2022, 513, 1612, 4897, 20604, 476, 279, 1839, 326, 2496, 2162, 623, 28666, 519, 623, 4875, 27276, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 2467, 616, 476, 275, 795, 13903, 799, 3180, 476, 280, 30184, 267, 476, 278, 30184, 267, 476, 275, 30184, 543, 476, 273, 30184, 269, 4855, 513, 1259, 547, 13248, 476, 280, 30184, 540, 4235, 689, 835, 795, 1872, 547, 1776, 2394, 596, 616, 2451, 609, 4010, 476, 274, 30184, 538, 1614, 540, 519, 795, 13903, 780, 2162, 28651, 476, 1911, 692, 7462, 8609, 281, 476, 273, 7420, 5426, 1384, 16521, 2185, 1114, 9704, 689, 476, 272, 268, 280, 543, 2322, 835, 538, 1142, 4216, 865, 602, 519, 4611, 2185, 1079, 18251, 2338, 1039, 547, 513, 2698, 540, 476, 1911, 269, 0, 289, 12864, 5999, 692, 258, 589, 812, 24864, 513, 14903, 7620, 693, 1964, 543, 2597, 532, 1269, 273, 269, 276, 259, 9522, 928, 2059, 513, 8880, 7841, 609, 513, 11931, 3196, 540, 1269, 1220, 715, 10608, 634, 4187, 547, 519, 5163, 5666, 547, 1269, 1789, 715, 259, 829, 9522, 928, 269, 634, 6991, 540, 519, 14903, 693, 519, 1439, 540, 476, 1789, 7643, 568, 692, 259, 263, 320, 9385, 282, 272, 269, 276, 544, 4882, 1422, 15153, 630, 321, 9385, 282, 271, 269, 1428, 544, 4882, 1422, 15153, 630, 322, 9385, 282, 1428, 544, 4882, 1422, 15153, 5560, 9385, 282, 5611, 544, 4882, 6911, 13707, 4187, 6035, 1269, 7807, 26171, 21702, 346, 1789, 715, 2410, 2023, 928, 348, 6695, 9392, 476, 273, 269, 276, 31046, 2023, 928, 1422, 29911, 284, 4037, 715, 28088, 656, 3196, 815, 476, 1220, 268, 4037, 284, 10219, 715, 2527, 815, 273, 269, 276, 9522, 928, 284, 7742, 271, 4846, 513, 7807, 26171, 21702, 346, 293, 2410, 332, 18098, 2765, 346, 10219, 2410, 7742, 271, 18098, 2765, 346, 272, 2410, 736, 6525, 332, 4882, 317, 273, 14204, 259, 341, 284, 340, 266, 520, 815, 271, 10954, 26171, 21702, 346, 272, 2410, 736, 6525, 315, 9392, 476, 1789, 14204, 7445, 15153, 284, 476, 272, 269, 276, 544, 4882, 14204, 17798, 513, 568, 519, 2953, 2626, 692, 539, 1243, 3967, 476, 2918, 267, 476, 1001, 275, 676, 803, 6511, 4877 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 634, 3750, 666, 3713, 476, 276, 9943, 10441, 22726, 630, 332, 273, 338, 264, 6629, 272, 540, 3039, 1769, 630, 16575, 284, 4335, 271, 288, 1070, 2898, 1274, 666, 3713, 476, 1015, 6629, 1724, 310, 332, 273, 1547, 1306, 513, 1379, 18785, 267, 799, 568, 811, 6213, 543, 676, 1018, 3815, 2496, 288, 692, 276, 692, 289, 692, 1015, 692, 290, 692, 11793, 692, 291, 692, 1428, 692, 21581, 8827, 454, 17806, 8827, 454, 19723, 1881, 676, 20226, 692, 1012, 661, 284, 327, 322, 16575, 284, 11277, 4037, 16575, 263, 30755, 6661, 11277, 4037, 276, 1822, 284, 273, 269, 275, 4037, 324, 309, 19749, 486, 275, 9943, 1015, 6629, 866, 297, 29358, 8515, 547, 799, 519, 3750, 666, 4431, 594, 292, 6614, 284, 333, 9943, 292, 284, 276, 9943, 10441, 9943, 275, 9943, 1015, 6629, 866, 284, 273, 9943, 1015, 6629, 1691, 263, 310, 8276, 273, 264, 594, 5674, 324, 296, 792, 284, 273, 9943, 1015, 6629, 15221, 271, 6629, 1724, 284, 1428, 22382, 296, 792, 296, 5674, 324, 284, 276, 16685, 568, 811, 6213, 982, 1274, 780, 2008, 24993, 593, 281, 2641, 270, 5881, 270, 1708, 274, 692, 2162, 11310, 6744, 692, 1892, 7726, 476, 272, 910, 8564, 2290, 692, 1012, 16685, 540, 606, 4603, 518, 30397, 519, 3039, 1769, 630, 16575, 284, 6110, 271, 30755, 264, 693, 476, 276, 9943, 10441, 22726, 829, 4009, 11281, 829, 2034, 543, 1274, 666, 3713, 476, 1015, 6629, 1724, 26910, 829, 4009, 25451, 269, 634, 3750, 568, 6213, 607, 513, 1379, 18785, 538, 6476, 547, 519, 1274, 676, 513, 3815, 540, 692, 288, 273, 2053, 454, 289, 274, 2053, 454, 290, 275, 2053, 454, 291, 276, 2053, 454, 1892, 7726, 476, 273, 910, 8564, 2290, 692, 1012, 634, 1480, 3750, 666, 18923, 3713, 513, 5835, 561, 902, 630, 16575, 284, 7785, 271, 288, 264, 602, 20205, 476, 272, 269, 278, 9943, 1015, 6629, 1240, 310, 547, 519, 22100, 269, 634, 1297, 540, 22726, 829, 2034, 9991, 593, 519, 3750, 568, 14282, 547, 692, 288, 276, 9943, 11820, 454, 289, 4335, 271, 454, 290, 2004, 454, 291, 276, 454, 1892, 7726, 476, 274, 910, 8564, 2290, 692, 1012, 2311, 512, 284, 302, 267, 1769, 540, 8515, 476, 6200, 273, 22726, 4882, 6629, 332, 273, 540, 1648, 476, 277, 324, 309, 829, 27141, 6238, 9991, 593, 513, 6676, 609, 960, 535, 1735, 794, 476, 273, 269, 276, 324, 309, 1403, 1858, 540, 519, 6676, 568, 476, 273, 9943, 1015, 6629, 275, 332, 273, 543, 585, 1169, 476, 10755, 22726, 835, 2584, 29741, 1258, 568, 19501, 267, 5279, 593, 519, 6676, 693, 512, 284, 1839, 521, 568, 692, 288, 279, 9943, 6200, 276, 290, 454, 289, 275, 9943, 6200, 275, 290, 454, 290, 1321, 9943, 6200, 271, 290, 454, 291, 1626, 9943, 6200, 273, 290, 692, 291, 12874, 339, 18133, 568, 3143, 269, 272, 5530, 2561, 543, 4804, 2561, 609, 2382, 656, 11473, 10298, 585, 19436, 4147, 476, 277, 267, 4147, 476, 278, 267, 4147, 476, 279, 267, 4147, 476, 280, 267, 4147, 476, 1015, 267, 4147, 476, 1556, 543, 4147, 476, 1321, 267, 594, 3951, 808, 7417, 3341, 267, 17252, 4953, 7041, 543, 23048, 267, 24505, 8274, 267, 4437, 9618, 8274, 267, 14076, 553, 22474, 8274, 267, 12463, 8274, 267, 20052, 836, 3570, 8274, 3092, 454, 10998, 12224, 3435, 585, 23048, 543, 824, 1533, 12545, 568, 513, 1883, 10421, 585, 1053, 269, 8935, 23336, 18133, 2337, 609, 6780, 267, 22027, 543, 3435, 547, 782, 519, 2055, 269, 898, 814, 5280, 1053, 1205, 896, 3642, 305, 476, 1911, 538, 17252, 4953, 1299, 594, 3951, 808, 7417, 269, 5192, 7300, 543, 3381, 3435, 540, 594, 3951, 11219, 7417, 631, 1622, 1299, 11628, 3105, 1032, 4574, 267, 17252, 4953, 3105, 1032, 4574, 267, 19436, 2835, 585, 5049, 476, 277, 547, 476, 1321, 267, 23048, 267, 11202, 325, 5407, 23549, 267, 28251, 1744, 12609, 267, 19954, 20548, 541, 19789, 267, 2494, 2129, 541, 14105, 267, 595, 1263, 720, 2835, 585, 12545, 543, 8013, 11400, 563, 291, 12874, 339, 18133, 568, 519, 3501, 17252, 4953, 543, 594, 3951, 808, 7417, 7041, 2561, 269, 5192, 3435, 585, 17252, 4953, 543, 594, 3951, 808, 7417, 3105, 1296, 4574, 267, 2059, 609, 3184, 8797, 17252, 4953, 14330, 304, 3435, 269, 5192, 782, 519, 1353, 1570, 538, 19446, 5420, 543, 2296, 5420, 585, 594, 3951, 808, 7417, 543, 17252, 4953, 7041, 0, 258, 476, 1015, 667, 22866, 1635, 476, 274, 692, 2421, 910, 274, 5784, 692, 3383, 476, 272, 568, 519, 29870, 540, 476, 1015, 5258, 676, 476, 274, 288, 29870, 568, 519, 14230, 1310, 513, 1297, 814, 1044, 5258, 883, 1776, 269, 16748, 856, 540, 780, 1015, 11829, 517, 26653, 667, 22866, 769, 476, 274, 20668, 6153, 5975, 3279, 26653, 14970, 12518, 5975, 3279, 12551, 26653, 5975, 3279, 26653, 23427, 12551, 570, 3471, 692, 2162, 1548, 5258, 676, 476, 1691, 11224, 476, 3374, 780, 1015, 5258, 676, 476, 274, 269, 589, 8918, 1297, 2161, 476, 274, 666, 581, 2854, 607, 476, 1789, 476, 4968, 543, 865, 593, 269, 6733, 693, 519, 1966, 713, 1259, 269, 24135, 585, 811, 3268, 780, 2414, 1118, 519, 2626, 547, 476, 20542, 5258, 676, 476, 274, 538, 8918, 1106, 596, 3274, 7941, 519, 19362, 676, 519, 14009, 689, 519, 6824, 2626, 1657, 269, 18135, 697, 7412, 32437, 476, 26116, 24798, 876, 476, 18357, 274, 1535, 25435, 910, 14681, 271, 910, 3953, 910, 5611, 1822, 586, 25435, 476, 14631, 476, 276, 681, 792, 9792, 269, 476, 9818, 476, 9818, 1403, 519, 19362, 568, 3152, 982, 610, 3160, 547, 519, 14009, 540, 513, 6824, 1287, 621, 568, 1572, 606, 16789, 6824, 780, 307, 777, 585, 811, 3268, 269, 476, 20065, 666, 581, 16866, 547, 476, 8099, 269, 3503, 519, 14230, 1310, 18946, 519, 5377, 1297, 689, 519, 1283, 1297, 780, 7049, 4733, 960, 609, 3268, 585, 476, 273, 676, 476, 272, 476, 274, 2421, 476, 273, 476, 274, 676, 476, 272, 476, 275, 676, 476, 274, 476, 275, 2421, 476, 273, 476, 275, 676, 476, 272, 476, 276, 676, 476, 275, 476, 276, 676, 476, 274, 476, 276, 676, 476, 273, 476, 277, 676, 476, 275, 476, 277, 676, 476, 274, 476, 277, 676, 476, 273, 7857, 1279, 6498, 2259, 610, 6780, 5751, 269, 15439, 3313, 1018, 1379, 540, 476, 1015, 519, 8918, 11498, 547, 946, 602, 1379, 540, 476, 1015, 607, 519, 14009, 4283, 1142, 1297, 547, 519, 1318, 540, 519, 8918, 1448, 607, 519, 19362, 543, 14458, 269, 476, 20065, 476, 4905, 634, 2626, 568, 17031, 547, 519, 14282, 2185, 8918, 2798, 952, 2556, 780, 26244, 1047, 547, 519, 1379, 540, 269, 22217, 1518, 4009, 3597, 540, 476, 9818, 269, 1215, 547, 1265, 476, 20542, 5258, 676, 476, 274, 780, 1607, 568, 4201, 25148, 274, 1107, 19147, 676, 476, 1015, 676, 6519, 14986, 13174, 593, 966, 830, 334, 519, 1753, 585, 1164, 2298, 7044, 543, 519, 1004, 945, 2648, 873, 269, 7736, 540, 1279, 6498, 3816, 664, 1457, 568, 476, 271, 543, 1985, 7857, 1310, 8918, 568, 476, 271, 269, 1548, 568, 476, 27174, 607, 513, 6824, 780, 293, 650, 538, 707, 1079, 8454, 2630, 519, 19362, 1657, 519, 6060, 1467, 543, 519, 14009, 2630, 519, 6060, 1467, 543, 3442, 952, 596, 1616, 547, 1039, 10208, 9062, 610, 7941, 8454, 543, 4945, 12433, 547, 1118, 519, 9819, 269, 769, 602, 2013, 596, 1223, 6460, 621, 883, 513, 2898, 1297, 610, 6404, 1297, 6824, 269, 1215, 547, 5173, 476, 4097, 7132, 476, 866, 1772, 476, 1321, 3152, 982, 476, 1724, 780, 23382, 710, 543, 14458, 519, 14009, 269, 5131, 17773, 19147, 9498, 1107, 19147, 8454, 1900, 8386, 9912, 901, 3896, 3096, 12897, 547, 2327, 596, 1205, 519, 1655, 1995, 269, 476, 20542, 476, 274, 476, 4905, 538, 8918, 1106, 780, 307, 777, 585, 811, 3268, 269, 19147, 476, 1015, 676, 476, 273, 269, 28799, 1210, 519, 1587, 4341, 585, 18119, 780, 1692, 547, 5173, 476, 4391, 5258, 676, 476, 3393, 4982, 20884, 17773, 540, 476, 4375, 1548, 568, 519, 27353, 540, 476, 277, 269, 20780, 1524, 1985, 7857, 476, 271, 269, 24135, 585, 811, 3268, 780, 307, 777, 585, 811, 3268, 269, 476, 13078, 476, 273, 476, 9083, 276, 269, 901, 9498, 4542, 1900, 676, 1900, 9819, 543, 2404, 1344, 585, 6824, 476, 20542, 5258, 676, 476, 274, 949, 948, 1053, 3610, 3237, 610, 4648, 547, 1451, 4001, 2259, 610, 13182, 971, 6498, 1063, 1079, 8454, 9273, 7561, 780, 1321, 5258, 676, 1018, 11224, 476, 4097, 269, 5131, 7101, 25025, 18185, 1107, 22217, 1518, 9097, 7215, 1210, 15821, 3652, 1900, 8386, 9912, 269, 476, 274, 17337, 883, 476, 1015, 609, 513, 14230, 540, 476, 272, 780, 2252, 596, 723, 476, 1015, 11113, 543, 596, 7941, 873, 883, 3160, 2516, 269, 7043, 6498, 9498, 609, 1900, 676, 1900, 960, 585, 476, 274, 6113, 3446, 476, 275, 628, 3446, 476, 276, 628, 3446, 476, 277, 628, 3446, 1053, 547, 13182, 519, 2164, 540, 1279, 6498, 2042, 609, 610, 1510, 14230, 269, 21079, 476, 30589, 1548, 2053, 476, 1724, 11224, 476, 1321, 780, 26244, 1047, 547, 519, 1379, 540, 269, 1548, 568, 476, 273, 936, 476, 274, 607, 513, 6871, 269, 22217, 1518, 476, 1015, 4009, 3597, 540, 476, 273, 25092, 676, 780, 9818, 4475, 713, 3830, 568, 3020, 269, 1280, 1383, 3168, 693, 519, 1297, 476, 23713, 4097, 519, 1297, 476, 275, 568, 538, 519, 8772, 8918, 1747, 799, 13054, 476, 1015, 476, 275, 610, 476, 1911, 876, 269, 6423, 2407, 2626, 2630, 780, 288, 29870, 568, 519, 14230, 1310, 513, 1297, 814, 1044, 5258, 883, 1776, 269, 476, 274, 17337, 883, 476, 1015, 609, 513, 14230, 540, 476, 272, 269, 595, 30327, 519, 1455, 3815, 540, 543, 780, 3528, 1210, 713, 3896, 596, 3858, 547, 938, 13648, 773, 8889, 269, 595, 30327, 519, 1455, 2188, 269, 28161, 513, 4759, 543, 780, 305, 792, 9792, 519, 3830, 676, 18946, 269, 476, 1724, 14263, 1018, 11224, 476, 1428, 269, 28799, 543, 14458, 519, 14009, 780, 1607, 1131, 1118, 519, 6824, 269, 3973, 649, 7941, 1312, 476, 1015, 543, 476, 274, 676, 519, 6574, 1455, 3815, 547, 1205, 519, 1739, 16866, 6824, 269, 3689, 952, 513, 1297, 568, 1373, 5258, 676, 476, 1015, 1287, 519, 14230, 568, 1175, 519, 2063, 7857, 540, 602, 1297, 780, 1015, 5258, 676, 476, 274, 568, 476, 274, 609, 513, 14230, 540, 476, 272, 476, 1015, 476, 274, 476, 274, 681, 272, 269, 6684, 952, 513, 1297, 568, 1373, 5258, 676, 476, 280, 1039, 1142, 540, 519, 9704, 547, 1142, 824, 2394, 596, 616, 2451, 609, 835, 1297, 19838, 476, 14138, 275, 3587, 476, 1321, 799, 538, 2490, 3587, 476, 274, 799, 568, 519, 14230, 780, 20278, 10025, 15873, 1280, 5564, 28745, 1656, 29435, 532, 1635, 476, 1015, 476, 1911, 476, 1911, 271, 9255, 10025, 15873, 4569, 1280, 8866, 4569, 19019, 692, 303, 10183, 2986, 14210, 8018, 19940, 10606, 667, 22866, 1635, 2353, 15474, 25024, 2986, 14210, 645, 25024, 2986, 14210, 25024, 6096, 692, 26368, 634, 22043, 10406, 22054, 7089, 7412, 7335, 15863, 6096, 9752, 25513, 692, 22706, 476, 274, 10406, 6096, 5131, 15026, 18527, 6096, 18527, 10406, 6096, 692, 19667, 1707, 1635, 476, 1015, 2107, 476, 1911, 8018, 476, 272, 8866, 12304, 332, 698, 8872, 1290, 4569, 10406, 8866, 6096, 28826, 10406, 692, 307, 1307, 7305, 5403, 619, 18527, 1656, 10406, 10406, 5403, 619, 17546, 8648, 23959, 692, 298, 338, 273, 645, 2572, 1125, 13174, 20587, 1137, 8525, 476, 276, 3367, 20587, 1137, 4569, 4569, 918, 338, 273, 692, 19667, 728, 1635, 476, 1015, 26432, 5999, 9509, 8525, 4569, 10406, 4569, 25420, 8866, 4569, 6096, 692, 288, 918, 2088, 20469, 12754, 1280, 5564, 28745, 1656, 29435, 532, 1635, 476, 1015, 476, 1911, 1656, 476, 1911, 271, 9752, 4569, 476, 276, 628, 6103, 4569, 9752, 9119, 692, 1432, 1772, 25529, 1656, 29961, 10406, 12476, 476, 1015, 2349, 4169, 9752, 7043, 10406, 7043, 10406, 692, 274, 6113, 6103, 10406, 6096, 7454, 16974, 9664, 1280, 8866, 12059, 6103, 4569, 6096, 10406, 6096, 4569, 10406, 6096, 692, 16524, 10406, 476, 274, 6226, 1080, 1635, 476, 272, 32693, 3143, 3816, 664, 1457, 476, 736, 6096, 4569, 10406, 476, 275, 628, 6103, 4569, 476, 275, 628, 6103, 4569, 6096, 692, 25648, 1255, 2986, 476, 1015, 476, 1911, 1656, 476, 1911, 271, 31745, 528, 15873, 31745, 528, 932, 11301, 9752, 9119, 4569, 31745, 528, 932, 11301, 692, 763, 5565, 32693, 667, 22866, 1635, 11638, 1255, 2986, 15474, 25024, 2986, 14210, 589, 4569, 8018, 3245, 634, 25024, 2986, 14210, 6096 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1312, 2081, 1701, 2020, 306, 2466, 1399, 540, 519, 3345, 692, 280, 269, 1924, 972, 594, 729, 632, 2275, 6260, 543, 521, 1944, 21567, 585, 1250, 20766, 1547, 25838, 310, 514, 9522, 697, 269, 1306, 594, 588, 1563, 693, 519, 29461, 10709, 539, 1996, 519, 3774, 594, 7691, 602, 713, 1880, 476, 736, 257, 476, 280, 269, 276, 11013, 681, 1872, 518, 570, 716, 673, 609, 513, 585, 3022, 16243, 5374, 13032, 22902, 543, 18435, 30021, 2962, 568, 1454, 1454, 6793, 982, 519, 1104, 267, 6107, 267, 1769, 2597, 267, 7148, 1229, 22902, 267, 7903, 3049, 267, 10464, 29461, 780, 3383, 1631, 513, 2243, 2501, 547, 2247, 13718, 2252, 594, 1020, 513, 3193, 623, 10485, 4452, 538, 713, 5230, 3046, 516, 1194, 29461, 267, 1832, 538, 2247, 519, 12068, 568, 538, 713, 5230, 585, 3022, 16243, 13032, 22902, 602, 568, 7923, 547, 513, 14132, 344, 2962, 269, 1403, 519, 8833, 15378, 602, 568, 7923, 547, 519, 22902, 5374, 2982, 476, 2568, 267, 1822, 623, 10485, 799, 568, 3193, 14408, 4456, 296, 623, 10485, 538, 519, 1547, 25838, 310, 514, 269, 1548, 1131, 602, 4452, 1224, 538, 513, 1769, 2597, 267, 6094, 267, 7148, 1229, 1104, 22902, 609, 519, 1482, 15378, 7923, 547, 621, 2496, 2690, 1346, 602, 949, 917, 519, 2626, 1250, 2243, 568, 267, 568, 972, 606, 3964, 5374, 270, 9146, 22812, 576, 1853, 4222, 602, 568, 1031, 607, 513, 3044, 547, 1020, 13907, 585, 623, 10485, 4152, 286, 898, 4667, 547, 803, 602, 519, 2542, 1131, 4268, 689, 29461, 547, 29461, 609, 519, 1482, 4452, 1373, 7318, 538, 1142, 1813, 547, 519, 4756, 9342, 1063, 519, 12478, 543, 2326, 1031, 780, 1015, 269, 20323, 17397, 676, 590, 2466, 1399, 540, 519, 3345, 454, 2791, 666, 1405, 28761, 9305, 595, 16810, 543, 623, 10485, 269, 1306, 538, 1018, 623, 10485, 11224, 595, 16810, 610, 642, 1047, 17930, 780, 2414, 10839, 519, 2376, 13718, 2891, 11004, 568, 1100, 1483, 2078, 1063, 595, 16810, 543, 623, 10485, 630, 2041, 3219, 519, 1249, 602, 789, 1312, 1205, 2362, 607, 2604, 4422, 909, 1040, 6884, 267, 789, 2811, 519, 1482, 269, 4107, 540, 519, 942, 267, 595, 16810, 568, 2539, 982, 623, 10485, 269, 1306, 513, 4341, 267, 519, 2623, 540, 7601, 896, 2604, 568, 865, 28031, 5652, 602, 972, 781, 1100, 6325, 1259, 540, 24758, 595, 16810, 547, 623, 10485, 28879, 282, 596, 1175, 723, 547, 2268, 1312, 2081, 1701, 2020, 306, 2466, 1399, 540, 519, 3345, 454, 2414, 10839, 519, 824, 2376, 1384, 3519, 7501, 454, 272, 269, 623, 10485, 630, 322, 8091, 946, 264, 568, 3810, 17047, 547, 595, 16810, 269, 15845, 281, 681, 317, 273, 815, 1547, 280, 2767, 2306, 621, 7543, 547, 6707, 8044, 6382, 563, 273, 269, 595, 16810, 568, 5631, 606, 13525, 540, 8445, 12068, 2604, 281, 15845, 281, 634, 1259, 602, 2650, 345, 29090, 1949, 616, 4122, 1031, 267, 789, 1867, 17033, 8445, 12068, 2604, 269, 634, 595, 16810, 1062, 568, 3810, 17047, 609, 519, 2650, 345, 29090, 1062, 269, 1403, 519, 968, 4752, 24406, 752, 892, 22636, 540, 519, 7601, 10652, 2280, 941, 1804, 267, 519, 9756, 547, 519, 2650, 345, 29090, 1062, 1131, 581, 4057, 563, 274, 269, 14408, 4456, 296, 1705, 513, 7168, 5812, 2816, 540, 4259, 5021, 2604, 7182, 538, 1312, 1949, 269, 15845, 281, 634, 1079, 616, 3810, 17047, 269, 26023, 267, 789, 3893, 7168, 2673, 547, 519, 1482, 2626, 1312, 2081, 563, 275, 269, 1411, 666, 6460, 689, 835, 1062, 540, 6482, 547, 519, 824, 269, 15845, 281, 9502, 540, 834, 14585, 22366, 2668, 26023, 267, 17047, 1797, 602, 596, 666, 7447, 835, 4756, 689, 519, 824, 269, 634, 6587, 540, 713, 568, 834, 560, 520, 12264, 4830, 2580, 799, 1797, 602, 596, 666, 1405, 563, 276, 269, 634, 4542, 585, 519, 7503, 568, 519, 835, 3254, 1657, 269, 15845, 281, 21277, 806, 519, 834, 548, 770, 10945, 3514, 257, 585, 519, 1079, 1949, 267, 543, 621, 7472, 606, 681, 273, 540, 1547, 280, 2767, 269, 1411, 666, 1449, 519, 4542, 676, 726, 19982, 538, 1022, 540, 519, 595, 16810, 2338, 3254, 1657, 269, 634, 4542, 786, 2285, 596, 1394, 513, 623, 10485, 1297, 602, 568, 2673, 547, 519, 835, 3254, 538, 519, 3349, 563, 277, 269, 4518, 3788, 547, 581, 2944, 538, 17975, 519, 14408, 4456, 296, 7503, 269, 15845, 281, 1323, 681, 273, 540, 476, 10844, 269, 278, 260, 568, 3812, 267, 6028, 476, 278, 269, 274, 260, 540, 519, 8390, 547, 581, 6045, 269, 20970, 1062, 5470, 4440, 5036, 519, 3970, 540, 519, 681, 273, 602, 666, 581, 5833, 693, 1472, 476, 7176, 10065, 2334, 3762, 476, 276, 269, 274, 260, 540, 519, 8390, 32584, 269, 12344, 2576, 666, 3605, 1018, 519, 796, 27665, 539, 585, 4756, 568, 563, 278, 269, 634, 1101, 1383, 540, 1945, 16355, 1407, 782, 6811, 602, 621, 1281, 711, 2291, 269, 634, 4542, 6818, 267, 543, 621, 1568, 269, 1924, 782, 6811, 602, 621, 1281, 711, 2291, 3112, 581, 3020, 780, 1556, 269, 1703, 568, 6157, 513, 9756, 1063, 533, 19561, 543, 7484, 855, 607, 568, 3254, 538, 519, 12125, 972, 568, 513, 711, 27809, 3017, 538, 7484, 5288, 533, 19561, 1022, 1082, 540, 519, 7047, 5090, 2471, 7396, 269, 3509, 1397, 519, 1482, 7484, 609, 513, 711, 27809, 3017, 538, 533, 19561, 543, 1866, 1397, 1175, 519, 6587, 609, 1482, 533, 19561, 543, 513, 3833, 1114, 7484, 269, 1924, 267, 4352, 972, 568, 513, 9756, 1063, 7484, 543, 533, 19561, 267, 519, 3328, 681, 317, 273, 540, 1547, 280, 2767, 568, 1175, 602, 267, 606, 3328, 269, 20593, 1154, 513, 7484, 547, 533, 19561, 1369, 1341, 610, 910, 476, 276, 269, 274, 260, 568, 2822, 2299, 513, 9756, 855, 711, 1018, 594, 1131, 1289, 513, 1483, 4977, 835, 780, 296, 1810, 1405, 917, 4010, 875, 519, 8833, 575, 1137, 616, 27358, 547, 2272, 585, 519, 3604, 538, 11098, 540, 22902, 1472, 519, 12068, 269, 594, 1131, 1589, 952, 596, 1500, 513, 29461, 22902, 609, 513, 21556, 8006, 540, 476, 1015, 257, 669, 3711, 1229, 538, 476, 23417, 7230, 543, 2322, 513, 8833, 575, 720, 593, 621, 267, 596, 1131, 723, 8373, 3478, 1022, 2542, 693, 782, 269, 594, 1131, 1589, 930, 4990, 540, 8051, 585, 22902, 11098, 543, 1570, 1131, 581, 2556, 780, 1321, 269, 20323, 17397, 676, 678, 321, 3089, 31620, 454, 296, 1810, 1405, 917, 4010, 875, 519, 8833, 575, 1137, 616, 27358, 547, 2272, 585, 519, 3604, 538, 11098, 540, 22902, 1472, 519, 12068, 269, 594, 1131, 1589, 952, 596, 1500, 513, 29461, 22902, 609, 513, 21556, 8006, 540, 476, 1015, 257, 669, 3711, 1229, 538, 476, 23417, 7230, 543, 2322, 513, 8833, 15378, 593, 621, 267, 596, 1131, 723, 8373, 3478, 1022, 2542, 693, 782, 269, 594, 1131, 1589, 930, 4990, 540, 8051, 585, 22902, 11098, 543, 1570, 1131, 581, 2556, 563, 337, 321, 3089, 31620, 10484, 2791, 723, 5734, 593, 519, 2243, 602, 814, 1044, 12758, 593, 1250, 2247, 269, 769, 707, 1383, 594, 1131, 581, 8348, 547, 914, 602, 513, 4452, 1131, 2408, 547, 723, 1970, 2604, 269, 769, 4641, 621, 1223, 581, 5458, 543, 649, 9327, 1405, 917, 621, 780, 2467, 1590, 581, 513, 3044, 538, 1646, 602, 568, 1031, 780, 1724, 269, 12361, 519, 1483, 3017, 1063, 476, 278, 269, 7830, 24114, 543, 1547, 28143, 12736, 692, 288, 3787, 1055, 1888, 267, 855, 513, 1360, 1713, 3017, 594, 1336, 1063, 519, 1079, 7047, 5090, 2471, 602, 476, 278, 269, 7830, 24114, 666, 581, 17991, 538, 513, 1547, 1789, 268, 6187, 4108, 12068, 1247, 1547, 28143, 12736, 3112, 269, 769, 519, 25819, 540, 21448, 594, 723, 602, 13105, 8006, 540, 519, 476, 278, 269, 7830, 568, 4130, 982, 519, 1547, 28143, 269, 1879, 519, 476, 278, 269, 7830, 729, 2919, 972, 729, 513, 1360, 1483, 991, 547, 723, 519, 1007, 7047, 16466, 960, 538, 519, 4540, 9604, 910, 930, 20711, 956, 941, 10736, 1210, 12068, 740, 9532, 269, 634, 1547, 28143, 12736, 7047, 16466, 14284, 519, 15668, 540, 1373, 17991, 538, 1547, 1789, 268, 6187, 1759, 20830, 899, 519, 1547, 17734, 12736, 676, 14219, 1173, 532, 519, 13105, 8006, 865, 519, 1547, 28143, 4465, 1405, 12068, 780, 2791, 666, 2119, 713, 538, 707, 1378, 9604, 268, 594, 6836, 621, 538, 3833, 513, 1906, 540, 9553, 543, 1336, 519, 2164, 3858, 609, 594, 4312, 7150, 1657, 269, 2290, 9868, 949, 581, 4914, 476, 278, 269, 7830, 21448, 910, 789, 949, 711, 581, 4010, 547, 2475, 1179, 338, 780, 23192, 17397, 676, 25272, 842, 515, 321, 2313, 454, 10674, 2517, 6011, 25829, 1673, 573, 32717, 3820, 270, 278, 7830, 341, 338, 28143, 270, 577, 600, 828, 11258, 692, 2521, 713, 267, 1011, 1231, 621, 7168, 1434, 780, 1691, 269, 12361, 1058, 1224, 519, 1482, 692, 9281, 519, 8833, 575, 720, 14764, 568, 26215, 730, 7157, 519, 13220, 1058, 581, 519, 1482, 269, 634, 23198, 22902, 786, 4228, 610, 22775, 1447, 855, 513, 7157, 26215, 730, 575, 720, 786, 1491, 602, 883, 519, 9273, 269, 1703, 616, 824, 2188, 971, 607, 512, 1653, 3092, 799, 786, 849, 1860, 519, 13220, 593, 2901, 269, 2836, 12299, 568, 519, 824, 3390, 268, 3478, 606, 4977, 543, 1634, 2604, 1377, 547, 26215, 622, 519, 7405, 780, 4913, 267, 538, 2489, 513, 25182, 22902, 568, 811, 7287, 762, 982, 513, 5394, 835, 607, 519, 22636, 568, 3677, 543, 4443, 547, 2268, 269, 20509, 2281, 267, 585, 1383, 267, 946, 513, 6094, 5276, 3296, 547, 1205, 519, 1655, 6111, 543, 11097, 652, 2039, 780, 23192, 17397, 676, 22153, 718, 454, 337, 321, 3089, 31620, 10484, 2791, 723, 5734, 593, 519, 2243, 602, 814, 1044, 12758, 593, 1250, 2247, 269, 769, 707, 1383, 594, 1131, 581, 8348, 547, 914, 602, 513, 4452, 1131, 2408, 547, 723, 1970, 2604, 269, 769, 4641, 621, 1223, 581, 5458, 543, 649, 9327, 1405, 917, 621, 780, 2467, 1590, 581, 513, 3044, 538, 1646, 602, 568, 1031, 780, 1428, 269, 901, 11148, 547, 1118, 803, 1589, 602, 8259, 596, 723, 1569, 547, 930, 1360, 1164, 13362, 4152, 1226, 18967, 618, 267, 596, 1131, 1869, 581, 3478, 513, 1297, 602, 568, 711, 2731, 4977, 1256, 952, 596, 723, 513, 8833, 1368, 720, 269, 2561, 30068, 596, 991, 513, 1634, 2604, 538, 707, 22902, 547, 5265, 1305, 519, 8833, 575, 720, 269, 1924, 267, 875, 1131, 596, 1020, 324, 513, 1634, 2604, 538, 1022, 1880, 22902, 269, 589, 5180, 540, 476, 28143, 17991, 538, 835, 22902, 1131, 811, 982, 2693, 1397, 513, 1114, 2604, 952, 17991, 538, 513, 1114, 22902, 269, 1656, 476, 273, 27581, 9838, 476, 28143, 21448, 1131, 4440, 1397, 1114, 12503, 952, 17991, 538, 519, 1482, 22902, 269, 594, 1589, 1018, 649, 616, 2324, 609, 568, 25939, 543, 7654, 2673, 3934, 725, 2864, 982, 606, 3169, 4542, 269, 1924, 2473, 815, 962, 1341, 610, 910, 930, 6871, 269, 2353, 594, 666, 2161, 568, 476, 4649, 267, 1822, 7484, 568, 4440, 513, 7168, 13888, 4452, 267, 855, 602, 1932, 568, 1175, 513, 7058, 780, 1626, 269, 12361, 538, 3147, 5596, 692, 2791, 616, 2953, 538, 707, 7080, 545, 687, 910, 547, 1118, 1022, 4990, 540, 4977, 6482, 609, 513, 8833, 15378, 596, 991, 547, 26215, 622, 519, 10380, 676, 2046, 584, 1944, 519, 22902, 909, 547, 1634, 4977, 2604, 2157, 269, 901, 1131, 4125, 1309, 6137, 519, 22902, 693, 1312, 7475, 543, 1287, 1210, 930, 4990, 540, 513, 6802, 610, 4666, 2597, 512, 6856, 547, 6318, 519, 2604, 538, 519, 22902, 909, 547, 476, 2004, 267, 1822, 6550, 610, 865, 269, 30052, 713, 3884, 1405, 606, 2653, 610, 10464, 3364, 547, 798, 269, 4634, 1310, 26215, 908, 519, 15378, 596, 4465, 1405, 917, 952, 596, 941, 693, 519, 2953, 1747, 547, 2268, 519, 8445, 2604, 910, 669, 12097, 2095, 543, 824, 2152, 949, 2014, 519, 8445, 2604, 547, 581, 11992, 538, 519, 22902, 610, 12068, 780, 3383, 1247, 596, 666, 5635, 1079, 610, 811, 13907, 607, 547, 2604, 6383, 693, 513, 2016, 1448, 610, 2798, 596, 616, 1818, 513, 2603, 540, 10054, 952, 596, 2119, 547, 3313, 519, 6207, 12503, 780, 9827, 910, 1247, 972, 616, 3875, 2081, 547, 2268, 2604, 8833, 12238, 2471, 616, 711, 7363, 1031, 538, 5010, 3156, 1141, 1164, 6111, 568, 2838, 269, 1703, 616, 6266, 540, 824, 4066, 602, 2285, 811, 4977, 2164, 543, 2057, 519, 2152, 540, 2837, 3092, 269, 7133, 519, 7403, 780, 23192, 17397, 676, 678, 321, 3089, 31620, 454, 1607, 11148, 547, 1118, 803, 1589, 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, 22261, 476, 1704, 267, 476, 1001, 271, 454, 12850, 13576, 998, 4672, 9212, 5787, 919, 4672, 8337, 543, 1223, 3432, 909, 4672, 2095, 267, 1007, 1353, 9060, 454, 300, 3881, 4248, 13576, 998, 4672, 9212, 666, 4163, 14246, 547, 519, 9703, 3842, 1212, 341, 13293, 267, 18655, 267, 543, 1804, 28368, 1572, 544, 9567, 1231, 269, 589, 1007, 9781, 1353, 2982, 602, 971, 8337, 666, 7494, 17108, 519, 8143, 3210, 540, 606, 4672, 6656, 547, 2916, 1689, 281, 1323, 4672, 6656, 666, 4431, 593, 519, 1931, 540, 5756, 267, 2864, 982, 519, 5553, 15810, 676, 6671, 8143, 3631, 269, 10979, 8928, 811, 11593, 607, 621, 2112, 916, 267, 865, 513, 8337, 2916, 666, 2333, 4672, 8928, 1454, 5488, 982, 5892, 2219, 563, 20442, 616, 4466, 602, 2899, 971, 1216, 2095, 568, 15748, 998, 513, 1007, 3296, 540, 4672, 6656, 267, 621, 666, 3636, 2864, 3648, 543, 3533, 267, 3006, 538, 1175, 476, 1015, 1296, 267, 834, 1767, 1291, 2278, 7338, 29928, 267, 513, 1382, 10196, 609, 519, 2160, 540, 12548, 693, 645, 30629, 543, 30857, 781, 31913, 4659, 585, 3194, 538, 7025, 7070, 630, 5746, 305, 2464, 1040, 834, 2171, 4312, 17941, 713, 1184, 3956, 334, 31622, 6331, 545, 8337, 4799, 4942, 650, 2354, 267, 2160, 540, 12548, 4702, 7548, 670, 926, 9618, 14076, 541, 600, 267, 543, 595, 7644, 2464, 10615, 23951, 2784, 6008, 742, 523, 4330, 741, 2203, 2164, 538, 513, 1957, 3370, 2228, 713, 3018, 538, 2983, 26491, 3194, 16707, 563, 3519, 14846, 8143, 3631, 540, 4672, 9212, 798, 711, 2015, 519, 4527, 540, 1216, 607, 513, 8337, 8665, 1369, 519, 4672, 6656, 1107, 1346, 3631, 5097, 2015, 8022, 676, 15911, 2011, 593, 519, 4672, 6656, 2627, 269, 769, 1216, 781, 9000, 267, 4672, 2112, 916, 7444, 538, 3210, 547, 519, 2799, 2627, 5210, 689, 2916, 1689, 267, 1419, 8506, 5553, 547, 27453, 547, 4755, 269, 834, 1607, 1131, 581, 2953, 952, 1216, 1152, 2095, 539, 593, 519, 4672, 2627, 1510, 519, 4316, 547, 979, 883, 621, 2437, 1767, 29928, 563, 4913, 267, 519, 23529, 4672, 6656, 568, 711, 835, 4396, 267, 5347, 2527, 540, 4672, 269, 1306, 519, 4672, 8928, 2509, 519, 5032, 267, 1989, 908, 1996, 5127, 13702, 267, 1212, 341, 13293, 543, 1007, 18655, 1106, 538, 519, 5580, 476, 1911, 3952, 540, 519, 4672, 6656, 269, 631, 3881, 4248, 13576, 998, 891, 23761, 666, 1332, 834, 823, 23572, 257, 543, 5121, 540, 12992, 602, 666, 4163, 1216, 998, 519, 4672, 267, 10825, 14246, 563, 2414, 22945, 519, 3310, 540, 602, 15835, 4248, 267, 519, 3744, 24018, 1018, 1131, 4755, 547, 519, 4672, 6656, 2837, 952, 1216, 2095, 539, 998, 621, 585, 1175, 5216, 4374, 1169, 4832, 267, 827, 519, 3259, 540, 519, 3742, 15835, 4005, 563, 10454, 1883, 3017, 1063, 938, 2203, 543, 3105, 3631, 568, 602, 649, 1331, 3002, 5385, 1063, 1216, 13576, 998, 519, 4672, 6656, 543, 519, 4672, 2437, 1767, 14076, 541, 600, 563, 763, 1267, 729, 513, 3648, 5488, 31032, 7721, 4624, 2333, 538, 4672, 6656, 8337, 267, 519, 1382, 2319, 4080, 269, 634, 8337, 1223, 1491, 1747, 593, 519, 1931, 540, 1296, 547, 5756, 267, 4470, 593, 519, 19437, 540, 1212, 341, 13293, 543, 824, 834, 335, 6346, 257, 8744, 15911, 1216, 883, 519, 4672, 6656, 538, 4832, 269, 11153, 2188, 8329, 547, 519, 8337, 543, 25739, 10231, 540, 4672, 2095, 912, 268, 590, 12294, 9023, 281, 2368, 540, 519, 1216, 602, 8928, 883, 519, 4672, 6656, 666, 3251, 5277, 1256, 998, 519, 5162, 267, 23646, 12119, 3579, 6658, 563, 268, 5178, 531, 19149, 566, 281, 589, 15911, 4672, 6656, 568, 811, 11630, 547, 4679, 538, 2095, 676, 1279, 268, 25969, 6127, 267, 971, 607, 21828, 19149, 566, 540, 519, 4672, 563, 268, 589, 18746, 18700, 540, 3441, 281, 4826, 22107, 8172, 883, 4672, 666, 3636, 519, 4478, 4672, 543, 849, 556, 6954, 2763, 267, 2870, 2417, 18015, 538, 519, 811, 7925, 267, 3636, 4672, 563, 307, 2586, 1927, 267, 891, 4205, 1063, 1216, 267, 2837, 267, 543, 4672, 6991, 11963, 1256, 811, 4028, 2242, 547, 4672, 9212, 538, 513, 4657, 2916, 982, 4867, 17191, 267, 519, 4589, 11943, 563, 1103, 1249, 267, 519, 4589, 3379, 4767, 2837, 12632, 689, 23529, 609, 2203, 2164, 269, 28791, 519, 3956, 334, 31622, 6331, 545, 8337, 729, 20039, 585, 267, 789, 1223, 711, 2491, 7422, 563, 10454, 1249, 602, 519, 4672, 5210, 3636, 2864, 3533, 568, 2731, 519, 1883, 4062, 602, 781, 1044, 15763, 538, 3631, 4867, 1373, 1031, 547, 3313, 875, 23529, 20781, 547, 2916, 8337, 2437, 6008, 742, 523, 1767, 269, 834, 4913, 267, 713, 1184, 568, 711, 519, 1412, 1372, 987, 5679, 749, 262, 585, 519, 4672, 6656, 269, 898, 3513, 1869, 1491, 5215, 540, 1296, 267, 952, 711, 513, 2789, 23476, 267, 585, 519, 4672, 6656, 547, 14897, 4799, 30655, 2209, 593, 713, 1788, 1331, 519, 17224, 18209, 7177, 543, 7070, 267, 17323, 267, 543, 6406, 267, 7025, 267, 543, 11629, 1116, 7177, 13623, 693, 519, 2160, 540, 12548, 693, 645, 30629, 269, 901, 1353, 729, 6462, 676, 8331, 595, 787, 14459, 3163, 5358, 14828, 543, 568, 3370, 2228, 538, 519, 4760, 2983, 26491, 3194, 16707, 269, 8281, 513, 5299, 540, 519, 1957, 1934, 269, 0, 2005, 781, 827, 942, 267, 3610, 1862, 547, 9096, 909, 590, 928, 6033, 4303, 563, 2005, 781, 2760, 1932, 2038, 547, 1376, 707, 1362, 1603, 2984, 269, 1280, 590, 928, 6033, 4303, 267, 3142, 538, 606, 2025, 267, 12816, 856, 267, 8559, 344, 6292, 540, 14229, 5474, 269, 3503, 513, 1650, 607, 513, 2898, 1362, 267, 4758, 519, 14229, 5474, 513, 1686, 689, 519, 1554, 789, 941, 1500, 2394, 2221, 563, 302, 19520, 543, 5924, 811, 5827, 1053, 1223, 2328, 513, 3184, 513, 1554, 267, 4758, 596, 267, 519, 4116, 267, 519, 4316, 547, 2203, 1603, 7592, 543, 547, 834, 20459, 856, 10978, 257, 607, 596, 2594, 741, 2093, 269, 8479, 518, 543, 5924, 1447, 5827, 1053, 1223, 2328, 513, 2241, 1650, 827, 945, 20595, 519, 14229, 5474, 267, 1141, 789, 723, 14612, 267, 875, 519, 14229, 5474, 3893, 741, 9475, 267, 3092, 269, 11088, 267, 9117, 607, 519, 2594, 518, 267, 519, 4116, 1058, 2203, 1200, 3206, 607, 1352, 2328, 519, 1453, 781, 2093, 563, 5194, 2534, 585, 590, 928, 6033, 4303, 568, 547, 2285, 1142, 1126, 513, 10145, 14229, 6033, 7291, 563, 16485, 873, 547, 1374, 513, 1007, 14229, 6033, 602, 568, 2523, 585, 1153, 1453, 269, 1548, 1131, 789, 1331, 538, 741, 2027, 14229, 6033, 286, 589, 9498, 286, 589, 14610, 286, 589, 2780, 286, 589, 15513, 32260, 518, 286, 1547, 1547, 1547, 6987, 754, 713, 2534, 676, 2348, 519, 1053, 2328, 827, 741, 14229, 6033, 781, 2934, 563, 28775, 2685, 267, 596, 666, 946, 891, 590, 928, 6033, 4303, 2093, 547, 1205, 707, 1007, 1153, 1032, 1055, 593, 519, 1318, 3723, 2336, 2252, 596, 17329, 891, 590, 928, 6033, 4303, 2238, 267, 596, 949, 6999, 547, 4647, 513, 5299, 540, 519, 873, 585, 17676, 593, 570, 335, 307, 563, 2791, 949, 849, 899, 281, 0, 2690, 1034, 540, 721, 267, 4440, 782, 540, 721, 267, 476, 1220, 279, 786, 581, 15422, 607, 513, 19506, 1032, 267, 585, 513, 3099, 540, 1360, 1434, 267, 2312, 4128, 563, 3719, 1018, 540, 476, 1220, 280, 286, 476, 1001, 271, 888, 7212, 621, 3085, 1405, 6133, 14786, 267, 610, 4440, 5816, 9708, 267, 519, 4641, 540, 938, 2282, 3856, 2104, 568, 602, 649, 2811, 827, 547, 1294, 930, 5863, 569, 1390, 8631, 4755, 269, 7136, 633, 5647, 269, 31598, 693, 2157, 519, 15055, 540, 799, 649, 10093, 1405, 2938, 1354, 563, 10303, 13766, 568, 519, 3993, 540, 8798, 563, 4517, 1317, 267, 2016, 2804, 1686, 267, 713, 2864, 11360, 2284, 539, 4413, 633, 568, 4535, 856, 269, 24269, 11615, 979, 998, 513, 512, 893, 267, 1018, 2501, 856, 519, 824, 1439, 568, 930, 7168, 1434, 8631, 563, 2791, 1616, 6169, 267, 1810, 1405, 596, 888, 306, 675, 267, 1577, 781, 2911, 827, 634, 5729, 9453, 513, 14400, 267, 476, 8687, 277, 267, 513, 6390, 834, 763, 24770, 5729, 8487, 763, 2596, 1650, 540, 713, 1032, 568, 602, 1896, 15027, 2621, 7018, 799, 3361, 7839, 26380, 269, 634, 2462, 835, 729, 519, 15027, 26706, 540, 24398, 269, 570, 3711, 7702, 689, 4989, 476, 276, 910, 476, 1428, 267, 476, 8687, 276, 267, 24903, 519, 1158, 781, 4102, 538, 693, 2547, 476, 272, 267, 7785, 1296, 269, 901, 729, 593, 1283, 540, 1079, 1991, 15027, 2621, 538, 476, 8687, 273, 630, 306, 5593, 27673, 264, 543, 476, 8687, 275, 630, 9802, 517, 1040, 1452, 1614, 2621, 5916, 547, 1711, 513, 1483, 1966, 910, 31797, 540, 519, 3141, 781, 12345, 269, 1411, 917, 267, 519, 8631, 602, 781, 2877, 585, 2371, 547, 6337, 9321, 1127, 1125, 563, 4517, 267, 2094, 1034, 540, 519, 1158, 729, 4881, 593, 989, 337, 4115, 11615, 602, 616, 1759, 593, 2030, 1272, 267, 1919, 4682, 689, 3983, 547, 8338, 538, 513, 31657, 269, 12397, 21775, 693, 606, 782, 6066, 1164, 269, 2353, 6066, 1164, 2336, 295, 8503, 941, 7166, 585, 741, 5779, 269, 26023, 267, 713, 17515, 513, 1883, 851, 540, 519, 3560, 1062, 267, 971, 607, 621, 729, 267, 693, 519, 942, 269, 1306, 538, 267, 3025, 1287, 1185, 547, 3802, 10876, 3079, 540, 11878, 593, 7504, 610, 31566, 563, 2005, 814, 1044, 32424, 676, 17713, 7232, 9071, 731, 10815, 532, 602, 519, 23266, 540, 519, 9998, 2062, 14725, 1676, 540, 519, 2413, 17919, 267, 31578, 20913, 13153, 19537, 529, 267, 2813, 713, 1007, 1922, 895, 15333, 1632, 267, 519, 19537, 529, 1329, 928, 267, 538, 476, 8687, 278, 1317, 540, 713, 3668, 540, 2596, 3560, 269, 13153, 19537, 529, 849, 2813, 513, 9352, 1297, 532, 1062, 267, 513, 1957, 3613, 8692, 14440, 2173, 639, 545, 2594, 518, 267, 543, 513, 1826, 23116, 267, 865, 646, 729, 1100, 1793, 13224, 950, 621, 3357, 547, 6427, 532, 8631, 9497, 289, 5390, 743, 532, 3163, 2580, 476, 274, 6113, 9990, 267, 6424, 23583, 14355, 1916, 20756, 267, 602, 781, 7168, 1434, 269, 645, 5390, 3380, 616, 513, 2731, 1434, 3364, 256, 2290, 540, 519, 1034, 3608, 12331, 540, 2123, 3560, 2469, 563, 9827, 267, 6307, 17125, 569, 4050, 2740, 834, 29445, 18315, 2580, 543, 3627, 5261, 2717, 573, 9461, 5206, 834, 763, 966, 2086, 344, 516, 257, 538, 519, 4832, 540, 476, 8687, 277, 607, 851, 540, 513, 16311, 547, 2328, 519, 1085, 2456, 339, 1650, 1282, 741, 16314, 538, 16848, 1317, 621, 986, 1441, 865, 1454, 789, 941, 7142, 547, 3251, 16280, 563, 12024, 594, 1767, 267, 519, 3993, 540, 8798, 563, 3383, 267, 6749, 1346, 3929, 12035, 596, 2811, 8876, 689, 476, 1220, 279, 543, 1413, 6619, 269, 15154, 11503, 616, 2907, 593, 267, 28813, 3282, 568, 1373, 14616, 267, 543, 649, 2811, 827, 547, 1294, 930, 5863, 8631, 1205, 2813, 563, 2791, 798, 530, 13860, 581, 851, 540, 713, 267, 1318, 286, 3619, 1265, 707, 3206, 1698, 267, 1205, 707, 3014, 593, 269, 0, 1103, 713, 17157, 267, 649, 1294, 10453, 609, 2027, 3872, 2115, 689, 8402, 320, 5336, 639, 13906, 710, 16504, 538, 19578, 1210, 11473, 19503, 16104, 547, 948, 873, 798, 1732, 538, 741, 2596, 1983, 4255, 543, 2123, 1047, 741, 1565, 269, 634, 12681, 1788, 1305, 909, 538, 476, 1220, 276, 2636, 1053, 547, 6432, 547, 1142, 2243, 1373, 1224, 16965, 1247, 789, 1246, 519, 1257, 593, 519, 5496, 543, 1957, 563, 257, 10303, 540, 519, 12588, 540, 519, 11473, 19503, 617, 267, 1053, 786, 581, 2111, 547, 23249, 519, 1449, 543, 4434, 547, 519, 1985, 2243, 693, 741, 1378, 10605, 269, 7348, 532, 519, 2055, 593, 519, 5496, 786, 948, 1053, 609, 519, 835, 547, 835, 5330, 766, 540, 1142, 1449, 2243, 3850, 519, 4116, 547, 7747, 543, 4217, 1367, 1053, 1510, 14443, 532, 1866, 8487, 2026, 519, 4116, 18466, 548, 24138, 3081, 267, 519, 1390, 3364, 827, 519, 19503, 16104, 568, 602, 519, 10453, 666, 960, 811, 10446, 689, 1200, 543, 1352, 666, 1445, 538, 593, 875, 1142, 1126, 568, 12003, 609, 519, 7569, 540, 519, 1449, 563, 763, 1788, 1867, 1281, 5031, 930, 751, 1891, 2042, 609, 519, 11036, 971, 607, 519, 942, 21791, 1184, 540, 17655, 538, 519, 4574, 543, 22151, 873, 593, 547, 519, 15409, 3457, 607, 1134, 607, 4145, 936, 519, 3354, 540, 519, 19503, 16104, 543, 519, 1449, 4574, 269, 2368, 723, 10404, 2213, 519, 1942, 540, 11449, 519, 19503, 16104, 538, 519, 1101, 1747 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 276, 994, 26212, 5729, 20043, 454, 268, 18926, 10613, 585, 19884, 543, 4317, 7070, 454, 4596, 12613, 476, 31134, 267, 13662, 21062, 476, 21857, 630, 310, 514, 994, 268, 11628, 3194, 454, 4916, 21062, 476, 3192, 630, 8505, 994, 268, 18947, 12968, 832, 3194, 454, 4916, 21062, 476, 2735, 630, 310, 514, 267, 14109, 994, 268, 18926, 10613, 585, 19884, 543, 4317, 7070, 454, 4916, 21062, 476, 21857, 630, 310, 514, 994, 268, 18926, 10613, 585, 19884, 543, 4317, 7070, 454, 4916, 21062, 476, 21857, 630, 310, 514, 994, 268, 1548, 2306, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 14298, 18426, 13316, 1315, 10803, 1315, 5606, 22460, 10803, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 3848, 476, 279, 281, 19171, 268, 10000, 18903, 692, 5331, 1373, 2111, 547, 1685, 9059, 15361, 865, 5863, 602, 707, 2828, 786, 1589, 596, 723, 2027, 7060, 256, 2060, 2673, 5346, 9059, 267, 596, 666, 798, 1175, 602, 269, 901, 1826, 540, 9059, 3322, 7900, 15361, 1210, 1507, 3615, 602, 616, 1318, 896, 519, 562, 4680, 630, 528, 1256, 538, 519, 3946, 264, 540, 707, 5304, 269, 898, 779, 899, 2348, 513, 5728, 2706, 12741, 2439, 1103, 713, 3184, 267, 649, 786, 2263, 930, 4241, 2673, 5346, 9059, 2553, 602, 616, 2653, 547, 1451, 543, 3501, 585, 791, 7675, 707, 1920, 543, 2828, 269, 1924, 10544, 513, 16064, 540, 6486, 267, 513, 11777, 267, 610, 1022, 824, 1507, 1843, 1472, 707, 2777, 267, 543, 1577, 781, 4685, 883, 519, 1158, 540, 2673, 5346, 9059, 2439, 4089, 476, 279, 269, 272, 281, 9315, 570, 9581, 692, 3080, 2442, 1907, 1031, 538, 2673, 5346, 9059, 568, 513, 2241, 16064, 540, 4730, 6486, 269, 1635, 1565, 1175, 513, 1906, 2596, 11739, 2074, 543, 7575, 267, 596, 666, 1711, 27314, 2192, 16272, 602, 3100, 7543, 269, 1284, 3513, 1376, 609, 835, 540, 519, 1034, 5929, 3556, 15361, 1107, 519, 968, 2419, 4923, 9315, 2561, 30970, 14325, 272, 269, 932, 4923, 9315, 2561, 30970, 692, 3721, 476, 272, 281, 9105, 2576, 547, 4584, 513, 3556, 689, 519, 695, 4428, 1194, 16064, 543, 27655, 621, 269, 1358, 991, 547, 1832, 741, 6074, 3556, 6456, 689, 2070, 1247, 6029, 596, 519, 1964, 540, 519, 16064, 780, 3721, 476, 273, 281, 4495, 789, 2132, 519, 5697, 3556, 1394, 883, 519, 16064, 267, 2285, 519, 16064, 513, 2759, 610, 1079, 269, 901, 1900, 2337, 1711, 519, 21903, 602, 519, 6486, 616, 22992, 6404, 780, 3721, 476, 274, 281, 3767, 2501, 519, 9589, 4090, 256, 24619, 856, 519, 16064, 3068, 16365, 5196, 519, 3349, 543, 2307, 707, 3659, 547, 5951, 741, 1688, 936, 519, 6486, 1247, 3206, 827, 741, 6074, 3556, 780, 3721, 476, 275, 281, 1306, 789, 798, 713, 267, 8732, 1302, 16145, 998, 519, 3262, 540, 6486, 2394, 596, 1265, 519, 5542, 269, 3973, 267, 946, 513, 11029, 9416, 3350, 547, 12740, 602, 3556, 5594, 1055, 519, 2627, 540, 519, 1866, 780, 3721, 476, 276, 281, 7788, 8784, 602, 596, 2631, 1945, 2189, 827, 519, 6074, 3556, 543, 13497, 16212, 621, 936, 547, 7866, 922, 3961, 269, 2659, 4715, 1807, 4465, 1406, 3494, 741, 4064, 2439, 1607, 8945, 1522, 1491, 930, 2259, 267, 855, 4166, 2614, 267, 596, 3513, 4487, 621, 543, 4734, 3025, 27086, 269, 5901, 8026, 267, 543, 1354, 1279, 267, 596, 3580, 1831, 811, 8746, 538, 707, 5759, 269, 5457, 267, 6881, 4249, 513, 1713, 1909, 538, 1818, 707, 9059, 5963, 9159, 2439, 263, 25147, 2592, 11744, 1142, 1900, 1934, 24355, 4089, 476, 279, 269, 273, 281, 3213, 514, 570, 9581, 692, 19741, 3556, 15361, 267, 972, 616, 7899, 540, 824, 3579, 3688, 602, 596, 666, 946, 585, 2673, 5346, 9059, 269, 3213, 1231, 616, 1776, 5140, 4781, 2094, 1004, 2141, 4163, 873, 1472, 269, 2913, 779, 2119, 856, 513, 5929, 11777, 642, 4314, 1572, 968, 763, 2598, 1952, 8960, 22588, 892, 1384, 272, 269, 634, 2598, 1952, 8960, 22588, 692, 3721, 476, 272, 281, 15579, 513, 10116, 1063, 707, 14853, 543, 4994, 9416, 267, 15720, 922, 6316, 1996, 707, 13869, 269, 5269, 2386, 1100, 835, 12034, 519, 2427, 6849, 2476, 689, 707, 11263, 780, 3721, 476, 273, 281, 8058, 1312, 5011, 540, 519, 11777, 3533, 547, 6961, 621, 781, 1483, 269, 3973, 267, 1747, 519, 1412, 6665, 1043, 262, 2427, 540, 519, 11777, 1996, 707, 5679, 22976, 267, 1869, 15720, 519, 6316, 780, 3721, 476, 274, 281, 15681, 707, 5304, 602, 596, 2811, 2469, 547, 1118, 519, 11777, 14897, 609, 513, 26882, 540, 707, 11263, 269, 6969, 2879, 6260, 267, 27642, 547, 6749, 519, 11777, 5196, 519, 1394, 540, 707, 824, 1688, 780, 3721, 476, 275, 281, 1879, 596, 1397, 707, 8900, 1688, 1310, 519, 9277, 14897, 766, 267, 31205, 1847, 519, 10703, 4705, 11777, 3297, 707, 14853, 269, 3143, 835, 786, 5469, 1317, 789, 3513, 2503, 621, 547, 581, 8854, 2907, 2439, 20797, 891, 3268, 7444, 2394, 596, 1745, 6899, 3257, 873, 6385, 269, 17652, 2614, 267, 596, 3513, 581, 2111, 547, 18609, 4896, 602, 11113, 3274, 642, 4314, 2390, 4971, 2439, 263, 25147, 2592, 20515, 1142, 1900, 1934, 24355, 3086, 979, 6619, 543, 2263, 1585, 824, 4948, 3615, 1472, 707, 1753, 269, 15331, 609, 1114, 2409, 540, 12879, 543, 3765, 323, 3925, 269, 1656, 3314, 267, 9306, 3054, 609, 6015, 543, 15131, 2306, 1169, 9059, 8945, 811, 11791, 543, 7793, 4328, 269, 8414, 8580, 1005, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 28095, 8142, 281, 23645, 29024, 275, 5038, 4905, 257, 31359, 327, 639, 7171, 28551, 1010, 544, 732, 950, 1352, 7024, 689, 960, 257, 7160, 293, 320, 13831, 781, 9452, 25201, 281, 4179, 2517, 25269, 338, 269, 2998, 4355, 2593, 4882, 7331, 9917, 1115, 7933, 270, 272, 311, 328, 297, 3725, 272, 301, 310, 331, 17624, 296, 334, 310, 338, 295, 1087, 313, 2767, 13696, 309, 278, 321, 313, 288, 324, 272, 329, 326, 311, 6795, 1673, 310, 1375, 312, 330, 288, 270, 308, 327, 3620, 7825, 332, 781, 32653, 19964, 281, 10059, 2517, 335, 517, 788, 4292, 3820, 270, 10441, 277, 5970, 513, 7745, 30854, 16535, 3095, 286, 29799, 13594, 16535, 2593, 609, 533, 821, 321, 23357, 8855, 281, 2254, 547, 4688, 4376, 540, 1871, 593, 30854, 16535, 793, 648, 782, 8942, 693, 2038, 1007, 16060, 793, 648, 1007, 16060, 676, 519, 17869, 574, 659, 16968, 454, 285, 257, 296, 4126, 12129, 781, 4712, 29389, 285, 257, 2791, 3314, 1018, 5949, 2063, 942, 267, 1810, 1405, 596, 24350, 285, 310, 820, 909, 1896, 3108, 3516, 609, 513, 13793, 1478, 269, 285, 21841, 18057, 344, 855, 594, 6415, 3843, 547, 3247, 535, 6260, 269, 285, 293, 656, 553, 1125, 827, 26302, 631, 732, 16550, 803, 547, 9742, 834, 339, 709, 12378, 5474, 257, 4534, 15550, 2643, 267, 570, 3700, 773, 267, 7137, 787, 623, 4875, 910, 547, 9350, 873, 1524, 543, 1118, 873, 2463, 762, 2818, 540, 519, 2146, 269, 285, 18744, 2899, 789, 2811, 782, 561, 644, 545, 9317, 569, 840, 1375, 619, 798, 594, 1205, 547, 9742, 26302, 631, 732, 607, 513, 8007, 585, 513, 2816, 1134, 2944, 12991, 1197, 1577, 544, 4100, 2995, 596, 602, 588, 718, 687, 5749, 1405, 682, 23424, 563, 285, 6826, 1323, 517, 285, 26222, 1480, 535, 7578, 5828, 13813, 2701, 1731, 285, 298, 25475, 285, 2791, 941, 533, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 5141, 846, 268, 10000, 18903, 257, 607, 851, 540, 834, 294, 4456, 2464, 1299, 8028, 2316, 9654, 25765, 1315, 18903, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 1012, 14333, 1230, 9134, 9046, 543, 31592, 8827, 1210, 25586, 781, 6396, 692, 1103, 713, 3184, 267, 649, 786, 2263, 513, 4052, 1966, 1644, 547, 3002, 26634, 543, 1451, 875, 547, 4194, 621, 1210, 10230, 2409, 269, 1284, 786, 1445, 593, 519, 25586, 781, 6396, 585, 10230, 5610, 543, 922, 6388, 538, 5124, 269, 1677, 2253, 267, 1577, 781, 24559, 6000, 609, 519, 1966, 543, 519, 6310, 19862, 780, 2162, 9046, 13517, 692, 13706, 513, 3774, 609, 513, 11098, 540, 1269, 299, 259, 7397, 269, 634, 2837, 693, 519, 2451, 2427, 540, 519, 3774, 568, 1269, 307, 18386, 271, 259, 5232, 17622, 267, 543, 519, 2837, 693, 519, 1318, 2427, 568, 1269, 307, 18386, 272, 259, 5232, 17622, 269, 1284, 616, 5461, 538, 4466, 519, 2837, 3892, 1369, 519, 3774, 780, 763, 2837, 3892, 1369, 519, 3774, 666, 581, 4330, 676, 519, 1739, 11186, 3830, 1384, 2330, 2765, 18097, 317, 273, 307, 2410, 11459, 317, 273, 348, 815, 476, 271, 9681, 3602, 1269, 307, 259, 568, 519, 2837, 543, 1269, 343, 259, 568, 519, 3845, 689, 519, 2451, 2427, 540, 519, 3774, 269, 634, 10465, 2175, 585, 713, 1966, 616, 1384, 2330, 307, 263, 271, 264, 815, 570, 18386, 271, 16465, 2330, 307, 27331, 264, 815, 570, 18386, 272, 9681, 2414, 4194, 713, 1966, 267, 649, 786, 1101, 6460, 519, 2034, 19195, 11186, 3830, 883, 1079, 1101, 19195, 11186, 4834, 543, 1287, 946, 25586, 781, 6396, 547, 1265, 519, 10230, 3070, 780, 2162, 25586, 781, 6396, 585, 31592, 16949, 692, 292, 17526, 781, 6396, 568, 513, 2241, 543, 16022, 4480, 585, 6061, 8723, 11186, 4834, 630, 7495, 19324, 264, 6746, 1227, 269, 634, 1505, 4114, 23660, 519, 3070, 676, 2921, 1507, 3268, 538, 519, 4830, 4756, 543, 21130, 519, 8200, 4756, 1210, 519, 12045, 693, 1142, 1900, 780, 13706, 513, 1101, 19195, 744, 14701, 1384, 2330, 2765, 346, 11276, 2410, 11459, 348, 815, 535, 3287, 267, 586, 264, 9681, 5976, 3355, 2783, 1269, 344, 3287, 18386, 271, 264, 815, 586, 18386, 271, 10608, 25586, 781, 6396, 4114, 23660, 519, 3070, 1269, 344, 3287, 7751, 676, 1384, 2330, 344, 315, 3709, 333, 266, 272, 348, 815, 586, 18386, 333, 1341, 554, 1422, 265, 535, 3287, 18386, 333, 267, 586, 18386, 333, 264, 9681, 3602, 1269, 327, 259, 568, 519, 1900, 2450, 267, 543, 1269, 343, 315, 3709, 333, 266, 272, 348, 815, 1535, 18386, 333, 1341, 554, 10608, 901, 1184, 568, 7368, 2394, 519, 5551, 1871, 540, 1269, 343, 259, 568, 6603, 780, 2162, 20593, 1154, 519, 9046, 547, 3689, 268, 24576, 744, 14701, 338, 692, 2414, 4019, 25586, 781, 6396, 267, 649, 1101, 991, 547, 6460, 519, 2034, 19195, 744, 14701, 883, 1079, 1101, 19195, 744, 14701, 338, 269, 2913, 781, 6338, 513, 1007, 4756, 1269, 340, 8961, 3989, 607, 1384, 2330, 340, 815, 535, 2350, 18097, 307, 2410, 11459, 15732, 3086, 267, 649, 666, 27682, 519, 3312, 744, 14701, 607, 513, 1062, 540, 1079, 1101, 19195, 744, 14701, 338, 1384, 2330, 2765, 18097, 307, 2410, 11459, 348, 815, 579, 16465, 2330, 2765, 346, 706, 2410, 11459, 348, 815, 476, 271, 9681, 5976, 3355, 2175, 1384, 2330, 307, 263, 271, 264, 815, 570, 18386, 271, 16465, 2330, 340, 263, 271, 264, 815, 535, 2350, 346, 307, 18386, 272, 910, 570, 18386, 271, 2410, 299, 15732, 2162, 20074, 25586, 781, 6396, 538, 5124, 692, 3086, 602, 649, 723, 938, 1966, 19775, 607, 513, 1062, 540, 1101, 19195, 744, 14701, 338, 267, 649, 666, 2936, 25586, 781, 6396, 538, 5124, 269, 3689, 267, 1577, 781, 1104, 519, 2556, 8021, 1384, 3499, 7090, 454, 5814, 11885, 607, 5286, 454, 5814, 21267, 28272, 607, 12301, 454, 7884, 9202, 267, 649, 786, 5581, 513, 1599, 1572, 2387, 15759, 3433, 319, 602, 3217, 519, 1739, 7440, 1384, 268, 2387, 343, 24417, 978, 29699, 519, 2039, 540, 1269, 343, 259, 2418, 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 ]
[ 3917, 13157, 344, 317, 273, 268, 272, 476, 6525, 1210, 17697, 15285, 269, 12315, 707, 3803, 2626, 538, 4625, 1249, 1819, 1106, 780, 11377, 6234, 346, 1422, 2765, 346, 11276, 2410, 11459, 348, 815, 1422, 2765, 26635, 2410, 343, 268, 273, 344, 3287, 3917, 8203, 273, 348, 476, 15732, 19370, 15048, 692, 24280, 3230, 11276, 7933, 343, 2330, 540, 519, 3830, 6695, 6234, 346, 1422, 2765, 12757, 2410, 343, 3917, 13157, 344, 317, 273, 268, 272, 476, 6525, 1210, 17697, 15285, 269, 12315, 707, 3803, 2626, 538, 4625, 1249, 1819, 1106, 780, 11405, 692, 2162, 18536, 297, 21587, 910, 476, 1708, 276, 3381, 3070, 692, 341, 8721, 676, 18536, 297, 21587, 692, 11377, 6234, 346, 1422, 2765, 346, 11276, 2410, 11459, 348, 815, 1422, 2765, 26635, 2410, 343, 268, 273, 344, 3287, 3917, 8203, 273, 348, 476, 15732, 19868, 538, 547, 2557, 713, 2259, 1966, 543, 547, 1294, 621, 781, 1699, 12773, 780, 2330, 343, 317, 273, 266, 274, 15383, 20742, 317, 274, 284, 1015, 9681, 19370, 15048, 692, 24280, 3230, 11276, 7933, 343, 2330, 540, 519, 3830, 3230, 343, 317, 273, 266, 274, 15383, 20742, 317, 274, 284, 1015, 2330, 1210, 17697, 15285, 269, 12315, 707, 3803, 2626, 538, 4625, 1249, 1819, 1106, 780, 11377, 6234, 346, 1422, 2765, 346, 11276, 2410, 11459, 348, 815, 28363, 2765, 346, 272, 2410, 274, 4153, 3847, 24560, 2765, 346, 273, 343, 266, 274, 344, 2410, 343, 20742, 317, 273, 4153, 2431, 316, 476, 15732, 19370, 15048, 692, 24280, 3230, 11276, 7933, 343, 2330, 540, 519, 3830, 3230, 343, 317, 273, 266, 274, 15383, 20742, 317, 274, 284, 1015, 2330, 1210, 17697, 15285, 269, 12315, 707, 3803, 2626, 538, 4625, 1249, 1819, 1106, 780, 11405, 692, 3689, 267, 1491, 519, 12045, 540, 1312, 5011, 609, 2463, 547, 1535, 269, 6695, 6234, 3189, 2765, 18097, 2410, 11459, 4153, 3847, 20572, 317, 273, 266, 274, 15383, 20742, 317, 274, 9368, 316, 815, 1422, 2765, 18097, 2410, 11459, 22042, 1015, 316, 6525, 20518, 1393, 519, 12045, 269, 6695, 6234, 3189, 2765, 18097, 2410, 11459, 4153, 3847, 20572, 317, 273, 9368, 316, 1341, 1422, 2765, 18097, 2410, 11459, 4153, 3847, 314, 274, 15383, 9368, 316, 1341, 1422, 2765, 18097, 2410, 11459, 4153, 3847, 314, 344, 317, 274, 9368, 316, 815, 1422, 2765, 18097, 2410, 11459, 22042, 1015, 316, 6525, 15233, 519, 12045, 547, 1142, 2165, 269, 634, 2165, 3230, 323, 314, 274, 15383, 316, 270, 11459, 2330, 3340, 519, 946, 540, 519, 1587, 4341, 269, 6695, 6234, 346, 273, 343, 1341, 1422, 2765, 346, 274, 323, 314, 15383, 316, 2410, 11459, 348, 1341, 476, 274, 344, 317, 273, 21702, 346, 11276, 2410, 11459, 348, 815, 476, 271, 476, 6525, 6695, 6234, 346, 476, 273, 343, 1341, 476, 274, 1422, 3847, 314, 1535, 21702, 346, 11276, 2410, 11459, 348, 1341, 344, 263, 272, 9385, 2431, 316, 1341, 274, 344, 317, 273, 21702, 346, 11276, 2410, 11459, 348, 815, 476, 271, 476, 6525, 9484, 26147, 519, 15741, 9643, 2165, 269, 6695, 6234, 346, 476, 273, 343, 1341, 476, 274, 343, 21702, 346, 11276, 2410, 11459, 348, 1341, 476, 274, 344, 1341, 274, 344, 317, 273, 21702, 346, 11276, 2410, 11459, 348, 815, 476, 271, 476, 6525, 5901, 519, 2474, 5627, 3230, 11276, 7933, 343, 2330, 593, 519, 2451, 540, 519, 3160, 1129, 269, 8844, 519, 824, 2474, 547, 519, 1318, 269, 6695, 6234, 346, 476, 274, 343, 21702, 346, 11276, 2410, 11459, 348, 1341, 476, 274, 344, 317, 273, 21702, 346, 11276, 2410, 11459, 348, 815, 910, 273, 343, 268, 274, 344, 476, 6525, 16748, 3230, 11276, 7933, 343, 2330, 689, 782, 2474, 593, 519, 2451, 269, 6695, 6234, 346, 630, 274, 343, 266, 274, 344, 317, 273, 9385, 2765, 346, 11276, 2410, 11459, 348, 815, 910, 273, 343, 268, 274, 344, 476, 6525, 19147, 1312, 5011, 676, 519, 3230, 274, 343, 266, 274, 344, 317, 273, 2330, 2165, 547, 4194, 585, 3230, 11276, 7933, 343, 21974, 6695, 6234, 3189, 2765, 346, 11276, 2410, 11459, 348, 815, 1422, 2765, 24877, 273, 343, 268, 274, 344, 2410, 274, 343, 266, 274, 344, 317, 273, 24995, 16748, 856, 3230, 268, 272, 270, 274, 2330, 547, 14458, 269, 901, 3947, 721, 938, 3803, 2626, 269, 6695, 6234, 346, 1422, 2765, 346, 11276, 2410, 11459, 348, 815, 28363, 2765, 346, 272, 2410, 274, 4153, 3847, 24560, 2765, 346, 273, 343, 266, 274, 344, 2410, 343, 20742, 317, 273, 4153, 2431, 316, 476, 15732, 11377, 6234, 346, 1422, 2765, 346, 11276, 2410, 11459, 348, 815, 28363, 2765, 346, 272, 2410, 274, 4153, 3847, 24560, 2765, 346, 273, 343, 266, 274, 344, 2410, 343, 20742, 317, 273, 4153, 2431, 316, 476, 15732, 19868, 538, 547, 2557, 713, 2259, 1966, 543, 547, 1294, 621, 781, 1699, 12773, 780, 11377, 6912, 12757, 344, 13157, 343, 268, 275, 344, 9681, 19370, 15048, 692, 24280, 3230, 11276, 7933, 343, 2330, 540, 519, 3830, 6695, 6912, 12757, 344, 13157, 343, 268, 275, 344, 2330, 1210, 17697, 15285, 269, 12315, 707, 3803, 2626, 538, 4625, 1249, 1819, 1106, 780, 11377, 6234, 346, 1422, 2765, 346, 11276, 2410, 11459, 348, 815, 1422, 2765, 346, 273, 25490, 12757, 344, 18511, 344, 2410, 343, 266, 279, 25490, 12757, 344, 3686, 476, 15732, 19370, 15048, 692, 24280, 3230, 11276, 7933, 343, 2330, 540, 519, 3830, 6695, 6912, 12757, 344, 13157, 343, 268, 275, 344, 2330, 1210, 17697, 15285, 269, 12315, 707, 3803, 2626, 538, 4625, 1249, 1819, 1106, 780, 11405, 692, 3689, 267, 2328, 519, 4009, 3597, 607, 513, 1379, 269, 901, 786, 1450, 721, 547, 1491, 519, 12045, 811, 3362, 269, 30967, 15383, 22722, 272, 270, 273, 348, 815, 1535, 268, 275, 344, 2330, 6875, 519, 12045, 540, 1312, 5011, 540, 519, 3830, 609, 2463, 547, 1535, 269, 6695, 6234, 346, 1422, 2765, 18097, 2410, 11459, 4153, 3847, 27007, 15383, 22722, 272, 270, 273, 4153, 2431, 316, 815, 1422, 2765, 18097, 2410, 11459, 22042, 343, 268, 275, 344, 316, 476, 6525, 2422, 519, 1587, 4341, 593, 519, 2451, 2427, 543, 1491, 519, 12045, 540, 1142, 2165, 593, 519, 1318, 269, 6695, 6234, 3189, 2765, 346, 272, 2410, 273, 12917, 15383, 264, 13064, 272, 270, 273, 4153, 3847, 20572, 1422, 2765, 346, 11276, 2410, 11459, 15396, 344, 263, 272, 9385, 2431, 316, 815, 476, 272, 268, 275, 21702, 346, 11276, 2410, 11459, 348, 476, 6525, 20518, 1393, 519, 2165, 593, 519, 2451, 543, 9062, 1312, 5011, 676, 476, 273, 269, 6695, 6234, 3189, 2765, 12757, 7346, 6912, 12757, 344, 14990, 2765, 346, 11276, 2410, 11459, 348, 1341, 1422, 2765, 26635, 7346, 6912, 12757, 344, 3686, 815, 476, 273, 910, 476, 279, 1422, 2765, 346, 11276, 2410, 11459, 348, 476, 6525, 681, 792, 9792, 519, 2474, 865, 602, 519, 2474, 609, 3230, 11276, 7933, 343, 2330, 616, 593, 519, 2451, 2427, 540, 519, 3160, 1129, 543, 519, 824, 2474, 616, 593, 519, 1318, 269, 6695, 6234, 346, 1422, 2765, 12757, 7346, 6912, 12757, 344, 3686, 1422, 2765, 346, 11276, 2410, 11459, 348, 1341, 476, 279, 1422, 2765, 346, 11276, 2410, 11459, 348, 815, 476, 273, 910, 1422, 2765, 26635, 7346, 6912, 12757, 344, 3686, 476, 6525, 16748, 856, 519, 3230, 11276, 7933, 343, 2330, 689, 782, 2474, 593, 519, 2451, 543, 1205, 1455, 32159, 585, 782, 2474, 269, 6695, 6234, 346, 1422, 2765, 346, 11276, 2410, 11459, 4153, 3847, 314, 1422, 2765, 12757, 7346, 6912, 12757, 344, 3686, 1341, 279, 1422, 2765, 3189, 6912, 12757, 344, 24828, 6912, 12757, 344, 3686, 1422, 2431, 316, 815, 1422, 2765, 346, 273, 25490, 12757, 344, 24828, 6912, 12757, 344, 3686, 910, 1422, 2765, 26635, 7346, 6912, 12757, 344, 3686, 476, 6525, 19147, 1312, 5011, 676, 519, 2165, 593, 519, 2451, 543, 14458, 269, 6695, 6234, 346, 1422, 2765, 346, 11276, 2410, 11459, 348, 815, 1422, 3847, 314, 1422, 2765, 346, 273, 25490, 12757, 344, 18511, 344, 7346, 6912, 12757, 344, 3686, 1422, 2431, 316, 1422, 3847, 314, 1422, 2765, 3189, 6912, 12757, 344, 12453, 343, 266, 279, 25490, 12757, 344, 3686, 1422, 2431, 316, 815, 1422, 2765, 346, 273, 25490, 12757, 344, 18511, 344, 2410, 343, 266, 279, 25490, 12757, 344, 3686, 476, 6525, 8074, 281, 4014, 713, 568, 6140, 16866, 267, 930, 16929, 949, 2307, 596, 547, 3815, 856, 513, 6695, 6912, 26635, 348, 270, 315, 6912, 12757, 6525, 269, 6695, 6234, 346, 1422, 2765, 346, 11276, 2410, 11459, 348, 815, 1422, 2765, 3189, 6912, 26635, 24828, 6912, 12757, 14990, 3847, 314, 1422, 2765, 346, 273, 25490, 12757, 32757, 6912, 26635, 24828, 6912, 12757, 15396, 279, 25490, 26635, 3686, 1422, 2431, 316, 476, 6525, 901, 2063, 1106, 568, 4625, 1249, 1819, 855, 711, 607, 16866, 607, 519, 3105, 1106, 630, 514, 938, 6644, 1040, 9105, 707, 14357, 799, 1106, 789, 4782, 780, 11377, 6234, 346, 1422, 2765, 346, 11276, 2410, 11459, 348, 815, 1422, 2765, 346, 273, 25490, 12757, 344, 18511, 344, 2410, 343, 266, 279, 25490, 12757, 344, 3686, 476, 15732, 19868, 538, 547, 2557, 713, 2259, 1966, 543, 547, 1294, 621, 781, 1699, 12773, 780, 2330, 344, 317, 273, 14352, 343, 3917, 7565, 343, 317, 273, 20742, 264, 9681, 19370, 15048, 692, 24280, 3230, 11276, 7933, 343, 2330, 540, 519, 3830, 3230, 344, 317, 273, 14352, 343, 3917, 7565, 343, 317, 273, 20742, 14638, 1210, 17697, 15285, 269, 12315, 707, 3803, 2626, 538, 4625, 1249, 1819, 1106, 780, 11377, 6234, 346, 1422, 2765, 346, 11276, 2410, 11459, 348, 815, 1422, 2765, 346, 274, 343, 317, 273, 268, 273, 15383, 20742, 2410, 343, 317, 273, 14870, 266, 275, 344, 348, 476, 15732, 19370, 15048, 692, 24280, 3230, 11276, 7933, 343, 2330, 540, 519, 3830, 3230, 344, 317, 273, 14352, 343, 3917, 7565, 343, 317, 273, 20742, 14638, 1210, 17697, 15285, 269, 12315, 707, 3803, 2626, 538, 4625, 1249, 1819, 1106, 780, 11405, 692, 6875, 519, 12045, 540, 1312, 5011, 609, 2463, 547, 1535, 269, 6695, 6234, 346, 1422, 2765, 18097, 2410, 11459, 22042, 344, 317, 273, 316, 815, 1422, 2765, 18097, 2410, 11459, 22042, 263, 343, 3917, 7565, 343, 317, 273, 20742, 13580, 476, 6525, 1284, 991, 547, 946, 519, 1587, 4341, 593, 519, 2165, 593, 519, 1318, 269, 8074, 281, 1403, 5551, 267, 596, 666, 9062, 856, 713, 2165, 1354, 2921, 519, 12045, 269, 769, 713, 1880, 1966, 267, 621, 3085, 1405, 2339, 269, 1717, 267, 538, 2489, 267, 596, 786, 4440, 1616, 547, 1832, 519, 2474, 1249, 1819, 2094, 621, 949, 1118, 621, 4443, 2663, 538, 519, 1966, 547, 3815, 269, 6695, 6234, 346, 476, 273, 344, 1422, 2765, 346, 11276, 2410, 11459, 348, 815, 630, 343, 3917, 9385, 3847, 314, 476, 273, 343, 10954, 2765, 346, 11276, 2410, 11459, 4153, 2431, 316, 1341, 630, 343, 317, 273, 20742, 9385, 3847, 314, 476, 272, 10559, 2765, 346, 11276, 2410, 11459, 348, 1422, 2431, 316, 476, 6525, 20518, 1393, 2474, 269, 6695, 6234, 346, 476, 273, 344, 1422, 2765, 346, 11276, 2410, 11459, 348, 815, 476, 273, 343, 3287, 3917, 264, 1341, 630, 343, 3917, 9385, 2765, 346, 11276, 2410, 11459, 348, 1341, 1535, 317, 273, 20742, 910, 630, 343, 317, 273, 20742, 9385, 2765, 346, 11276, 2410, 11459, 348, 476, 6525, 8844, 2474, 609, 3230, 11276, 7933, 343, 2330, 547, 519, 2451, 543, 782, 824, 2474, 547, 519, 1318, 269, 6695, 6234, 346, 476, 273, 344, 1422, 2765, 346, 11276, 2410, 11459, 348, 910, 263, 343, 3917, 9385, 2765, 346, 11276, 2410, 11459, 348, 1341, 263, 343, 317, 273, 20742, 9385, 2765, 346, 11276, 2410, 11459, 348, 815, 476, 273, 343, 3287, 3917, 11924, 343, 317, 273, 20742, 476, 6525, 16748, 856, 519, 3230, 11276, 7933, 343, 21974, 6695, 6234, 346, 630, 273, 344, 14870, 20742, 21147, 317, 273, 20742, 9385, 2765, 346, 11276, 2410, 11459, 348, 815, 476, 273, 343, 317, 273, 268, 273, 15383, 21147, 317, 273, 20742, 476, 6525, 16534, 585, 3230, 11276, 7933, 343, 2330, 543, 14458, 269, 6695, 6234, 346, 1422, 2765, 346, 11276, 2410, 11459, 348, 815, 1422, 2765, 346, 274, 343, 317, 273, 268, 273, 15383, 20742, 2410, 343, 317, 273, 14870, 266, 275, 344, 348, 476, 15732, 11377, 6234, 346, 1422, 2765, 346, 11276, 2410, 11459, 348, 815, 1422, 2765, 346, 274, 343, 317, 273, 268, 273, 15383, 20742, 2410, 343, 317, 273, 14870, 266, 275, 344, 348, 476, 15732, 19868, 538, 547, 2557, 713, 2259, 1966, 543, 547, 1294, 621, 781, 1699, 12773, 780, 21995, 6657, 12833, 6295, 17832, 12793, 692, 11377, 7562, 3287, 30819, 6661, 272, 270, 273, 9681, 19370, 15048, 692, 24280 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 24718, 1433, 5777, 454, 520, 476, 8099, 2228, 29481, 454, 16447, 4204, 585, 519, 9803, 3902, 585, 1007, 1299, 1031, 9499, 543, 454, 4134, 12248, 2835, 256, 476, 272, 4945, 547, 1205, 1390, 9388, 593, 10464, 2835, 267, 10464, 454, 3667, 9248, 1299, 10958, 2852, 9499, 593, 9042, 563, 290, 1478, 532, 1614, 4627, 1296, 540, 1686, 267, 717, 11065, 269, 22210, 564, 796, 1723, 951, 519, 20297, 543, 31774, 540, 519, 13677, 2372, 6033, 3350, 267, 799, 267, 1282, 922, 1974, 540, 476, 13679, 271, 268, 6977, 271, 267, 1185, 606, 6059, 476, 5611, 271, 740, 6254, 338, 269, 634, 1650, 540, 2372, 6033, 1143, 666, 581, 5258, 883, 2185, 1292, 5712, 281, 922, 4473, 1282, 519, 1906, 1296, 540, 595, 668, 6202, 781, 4341, 282, 519, 1412, 788, 545, 262, 1974, 1282, 519, 8545, 26573, 15913, 267, 1282, 799, 621, 6603, 513, 4463, 543, 1138, 738, 320, 523, 3585, 23384, 922, 2267, 749, 652, 30201, 1903, 538, 589, 828, 1372, 523, 282, 922, 16795, 7771, 609, 17573, 1147, 2471, 540, 1514, 2534, 282, 543, 922, 546, 13388, 1782, 2238, 538, 519, 13524, 2540, 269, 22210, 564, 11339, 609, 9355, 543, 3178, 593, 519, 2185, 1292, 5712, 267, 2921, 519, 5467, 2059, 519, 3350, 781, 1686, 689, 25470, 547, 589, 828, 1372, 523, 267, 4911, 639, 267, 519, 645, 7451, 267, 519, 4400, 4133, 543, 3564, 269, 1306, 519, 1353, 4485, 519, 1439, 540, 519, 13524, 2540, 267, 22210, 564, 9607, 519, 10700, 2243, 540, 1946, 2372, 6033, 1143, 8959, 538, 10430, 269, 1323, 9210, 559, 4084, 267, 2854, 676, 5261, 670, 269, 3057, 19213, 267, 1849, 17064, 547, 519, 14886, 262, 4937, 20051, 585, 10430, 267, 21040, 1869, 2417, 593, 519, 3356, 540, 2372, 6033, 1143, 689, 476, 6977, 271, 268, 4198, 271, 269, 834, 763, 22082, 2372, 5474, 941, 4986, 952, 711, 2178, 538, 1990, 7002, 547, 3094, 17838, 267, 543, 519, 11873, 1185, 15991, 5833, 513, 3723, 532, 538, 4789, 1354, 519, 1412, 323, 1046, 1286, 2522, 1004, 262, 540, 10430, 941, 6825, 1524, 585, 29966, 13055, 1701, 6987, 847, 689, 3848, 476, 272, 454, 13146, 3883, 590, 792, 2583, 912, 25835, 268, 1015, 270, 25835, 268, 1724, 281, 476, 13970, 276, 6507, 14838, 271, 1315, 476, 7818, 268, 13970, 276, 6507, 14838, 272, 1315, 6481, 4149, 17790, 16711, 281, 21111, 31588, 1229, 20985, 5516, 267, 17266, 11730, 267, 476, 279, 324, 1315, 5213, 3534, 667, 269, 22695, 520, 822, 545, 3780, 9049, 681, 301, 595, 20911, 4888, 9128, 267, 631, 269, 27692, 4518, 2006, 12854, 681, 301, 14174, 3198, 476, 271, 3953, 31798, 14341, 311, 1315, 476, 7818, 268, 271, 3953, 31798, 14341, 278, 1315, 5530, 6651, 585, 6481, 4149, 17790, 16711, 281, 16610, 585, 3955, 2889, 32216, 20985, 5516, 267, 476, 280, 324, 1315, 5213, 3534, 667, 269, 22695, 520, 822, 545, 3780, 9049, 681, 301, 595, 20911, 4888, 9128, 267, 631, 269, 27692, 4518, 2006, 12854, 681, 301, 14174, 3198, 267, 22216, 773, 1234, 8663, 12854, 32233, 681, 301, 2910, 296, 267, 27692, 589, 269, 5487, 2419, 10846, 12854, 681, 301, 476, 271, 3953, 31798, 15647, 272, 1315, 476, 7818, 268, 271, 3953, 31798, 15647, 271, 1315, 6481, 4149, 17790, 16711, 281, 16610, 585, 3955, 2889, 32216, 20985, 5516, 267, 476, 273, 13305, 565, 2541, 5590, 267, 476, 280, 324, 1315, 5213, 3534, 667, 269, 22695, 520, 822, 545, 3780, 9049, 681, 301, 595, 20911, 4888, 9128, 267, 631, 269, 27692, 4518, 2006, 12854, 681, 301, 14174, 3198, 267, 22216, 773, 1234, 8663, 12854, 32233, 681, 301, 2910, 296, 476, 271, 3953, 30444, 30525, 275, 1315, 476, 7818, 268, 271, 3953, 30444, 30525, 277, 1315, 2353, 2987, 268, 3080, 16711, 5516, 12020, 12754, 281, 6481, 4149, 17790, 267, 17925, 267, 631, 24471, 267, 543, 5369, 12278, 5336, 1581, 2657, 267, 476, 275, 324, 630, 5472, 769, 2290, 5516, 12020, 12754, 264, 1315, 31656, 11253, 700, 269, 4210, 8960, 523, 476, 25320, 27123, 280, 6246, 274, 1315, 476, 7818, 268, 25320, 27123, 280, 6246, 274, 1315, 6481, 4149, 17790, 16711, 281, 11916, 25705, 538, 21111, 5516, 630, 277, 628, 9990, 264, 630, 21357, 13880, 673, 16711, 910, 19748, 821, 264, 1315, 2398, 4593, 8759, 570, 2274, 300, 821, 267, 27239, 631, 269, 8738, 651, 267, 717, 699, 928, 645, 4954, 323, 4752, 681, 301, 12854, 14174, 3198, 267, 14529, 3121, 717, 889, 337, 644, 476, 271, 3953, 27088, 23211, 276, 1315, 476, 7818, 268, 271, 3953, 27088, 23211, 271, 1315, 11916, 16711, 7225, 8540, 5530, 6651, 585, 6481, 4149, 17790, 16711, 281, 21111, 31588, 1229, 20985, 5516, 267, 476, 279, 324, 1315, 5213, 3534, 667, 269, 22695, 520, 822, 545, 3780, 9049, 681, 301, 595, 20911, 4888, 9128, 267, 631, 269, 27692, 4518, 2006, 12854, 681, 301, 14174, 3198, 267, 27692, 589, 269, 5487, 2419, 10846, 12854, 681, 301, 267, 15443, 823, 918, 269, 918, 636, 698, 2967, 9049, 301, 681, 301, 476, 271, 3953, 27088, 20720, 279, 1315, 476, 7818, 268, 271, 3953, 27088, 20720, 279, 1315, 11916, 12660, 542, 585, 6481, 4149, 17790, 16711, 281, 21111, 31588, 1229, 20985, 5516, 267, 476, 279, 324, 1315, 5213, 3534, 667, 269, 22695, 520, 822, 545, 3780, 9049, 681, 301, 595, 20911, 4888, 9128, 267, 18281, 654, 1074, 601, 2006, 681, 301, 12854, 595, 10135, 301, 8028, 23259, 267, 631, 269, 27692, 4518, 2006, 12854, 681, 301, 14174, 3198, 476, 271, 3953, 31798, 10204, 271, 1315, 476, 7818, 268, 271, 3953, 31798, 10204, 273, 1315, 11916, 12660, 542, 585, 6481, 4149, 17790, 16711, 281, 16610, 1280, 3955, 2889, 32216, 20985, 5516, 267, 476, 280, 324, 1315, 5213, 3534, 667, 269, 22695, 520, 822, 545, 3780, 9049, 681, 301, 595, 20911, 4888, 9128, 267, 18281, 654, 1074, 601, 2006, 681, 301, 12854, 595, 10135, 301, 8028, 23259, 267, 631, 269, 27692, 4518, 2006, 12854, 681, 301, 14174, 3198, 267, 12832, 1961, 631, 269, 1261, 19112, 691, 1676, 667, 23259, 681, 301, 2910, 296, 476, 16960, 6507, 273, 3199, 272, 275, 1315, 476, 7818, 268, 16960, 6507, 273, 3199, 272, 280, 1315, 6481, 4149, 17790, 16711, 281, 21111, 31588, 1229, 20985, 5516, 267, 17266, 11730, 267, 476, 278, 324, 630, 296, 3913, 520, 822, 545, 3780, 267, 6481, 4149, 17790, 16711, 267, 17266, 5292, 264, 1315, 5213, 3534, 667, 269, 22695, 520, 822, 545, 3780, 9049, 681, 301, 595, 20911, 4888, 9128, 267, 631, 269, 27692, 4518, 2006, 12854, 681, 301, 14174, 3198, 476, 5881, 272, 6434, 280, 12293, 278, 1315, 476, 7818, 268, 5881, 272, 6434, 280, 12293, 274, 1315, 634, 9452, 540, 2372, 6033, 1143, 538, 10430, 281, 476, 13679, 271, 268, 6977, 271, 1315, 26838, 22210, 564, 267, 5484, 3057, 19213, 476, 6021, 275, 10755, 14096, 278, 1315, 476, 7818, 268, 6021, 275, 10755, 14096, 280, 1315, 18361, 540, 6739, 2776, 21752, 630, 30696, 31157, 281, 1280, 18190, 5678, 5530, 264, 1315, 7671, 808, 269, 16019, 476, 6021, 275, 10755, 14983, 279, 1315, 476, 7818, 268, 6021, 275, 10755, 14983, 272, 1315, 6739, 18049, 281, 21091, 4804, 3525, 2737, 594, 341, 268, 9654, 1315, 8895, 2088, 32511, 9155, 476, 6021, 275, 10755, 14991, 280, 1315, 476, 7818, 268, 6021, 275, 10755, 14991, 277, 1315, 570, 2784, 527, 1470, 630, 307, 2784, 527, 1470, 4518, 1504, 264, 630, 307, 2784, 527, 1470, 4518, 1504, 264, 1315, 4793, 878, 807, 589, 269, 3627, 8725, 476, 6021, 275, 10755, 6942, 271, 1315, 476, 7818, 268, 6021, 275, 10755, 6942, 274, 1315, 14163, 2684, 6951, 2433, 634, 20002, 630, 30696, 18190, 7732, 264, 1315, 14163, 2684, 6951, 476, 6021, 275, 10755, 29214, 275, 1315, 476, 7818, 268, 6021, 275, 10755, 29214, 276, 1315, 8168, 8136, 11352, 540, 11135, 476, 3707, 272, 268, 3707, 276, 1315, 476, 6021, 275, 10755, 27868, 278, 1315, 476, 7818, 268, 6021, 275, 10755, 27868, 271, 1315, 15570, 810, 8566, 9007, 2782, 281, 15604, 543, 11354, 476, 3707, 275, 2433, 645, 25114, 585, 6239, 2342, 270, 5591, 476, 3953, 630, 289, 4490, 3510, 734, 324, 770, 4395, 264, 1315, 654, 269, 8841, 17214, 10937, 476, 6021, 275, 10755, 29889, 280, 1315, 476, 7818, 268, 6021, 275, 10755, 29889, 275, 1315, 5020, 4518, 540, 32201, 19846, 622, 4024, 731, 7671, 8644, 2421, 630, 8624, 21124, 14430, 1315, 4024, 731, 674, 269, 8644, 2421, 264, 1315, 4024, 731, 674, 269, 8644, 2421, 476, 6021, 275, 10755, 271, 2537, 279, 1315, 476, 7818, 268, 6021, 275, 10755, 271, 2537, 275, 1315, 589, 8535, 4804, 7869, 585, 1715, 9799, 543, 8479, 5753, 1315, 3798, 7773, 661, 269, 23583, 476, 6021, 275, 10755, 271, 2190, 277, 1315, 476, 7818, 268, 6021, 275, 10755, 271, 2190, 272, 1315, 634, 3474, 880, 22616, 528, 281, 29955, 23597, 21813, 538, 14576, 1315, 7812, 1230, 333, 14709, 476, 6021, 275, 10755, 4962, 274, 311, 1315, 476, 7818, 268, 6021, 275, 10755, 4962, 274, 272, 1315, 634, 595, 5971, 547, 17166, 3143, 281, 26062, 268, 16248, 14576, 338, 585, 30766, 543, 14914, 1315, 3627, 700, 269, 13852, 267, 24023, 31410, 548, 476, 6021, 275, 10755, 4962, 280, 280, 1315, 476, 7818, 268, 6021, 275, 10755, 4962, 280, 274, 1315, 20283, 281, 6452, 558, 3966, 2939, 9990, 1315, 476, 6021, 275, 10755, 6021, 273, 271, 1315, 476, 7818, 268, 6021, 275, 10755, 6021, 273, 271, 1315, 9752, 8535, 2060, 5303, 630, 4343, 277, 277, 264, 1315, 7338, 661, 269, 23052, 20462, 476, 6021, 275, 10755, 9083, 272, 1315, 476, 7818, 268, 6021, 275, 10755, 9083, 277, 1315, 14163, 2684, 6951, 281, 700, 903, 626, 337, 1092, 281, 3690, 3836, 2060, 4985, 543, 11872, 630, 30696, 18190, 7732, 264, 630, 30696, 18190, 7732, 264, 1315, 14163, 2684, 6951, 476, 6021, 275, 10755, 13199, 279, 1315, 476, 7818, 268, 6021, 275, 10755, 13199, 278, 1315, 13198, 4038, 3780, 281, 2201, 519, 7186, 540, 12085, 630, 30696, 11096, 28441, 7732, 264, 630, 30696, 11096, 28441, 7732, 264, 1315, 19124, 1621, 331, 1068, 476, 6021, 275, 10755, 15782, 274, 1315, 476, 7818, 268, 6021, 275, 10755, 15782, 274, 1315, 5525, 538, 661, 22029, 1315, 8176, 5261, 14480, 3467, 476, 6021, 275, 10755, 15171, 274, 1315, 476, 7818, 268, 6021, 275, 10755, 15171, 274, 1315, 18361, 540, 6739, 2776, 21752, 11644, 6206, 1315, 7671, 808, 269, 16019, 476, 6021, 275, 10755, 14444, 271, 1315, 476, 7818, 268, 6021, 275, 10755, 14444, 280, 1315, 18573, 2433, 32600, 630, 30696, 11096, 28441, 7732, 264, 1315, 18573, 476, 6021, 275, 10755, 8182, 280, 1315, 476, 7818, 268, 6021, 275, 10755, 8182, 277, 1315, 570, 2784, 527, 1470, 281, 1323, 4985, 547, 519, 5824, 5678, 543, 4706, 21478, 267, 5822, 9990, 630, 30108, 781, 15015, 543, 8382, 6206, 264, 1315, 4793, 878, 807, 589, 269, 3627, 8725, 476, 6021, 275, 10755, 14378, 275, 1315, 476, 7818, 268, 6021, 275, 10755, 14378, 273, 1315, 18573, 2433, 9093, 334, 630, 30696, 11096, 28441, 7732, 264, 1315, 18573, 476, 6021, 275, 10755, 6245, 278, 1315, 476, 7818, 268, 6021, 275, 10755, 6245, 278, 1315, 5259, 1160, 572, 23531, 1315, 631, 269, 589, 269, 3345, 454, 5415, 6168, 4635, 901, 13505, 543, 11370, 3539, 7734, 6732, 912, 6826, 17610, 547, 14424, 3883, 31245, 6969, 16179, 454, 1607, 3135, 729, 2813, 585, 6300, 11825, 547, 5635, 1433, 5777, 543, 1265, 10464, 2835, 454, 663, 10464, 2852, 9499, 269, 589, 2603, 540, 10958, 2835, 543, 10958, 1257, 2835, 454, 732, 2322, 593, 9042, 676, 1082, 31680, 1433, 21625, 543, 10958, 29481, 4948, 563, 2791, 1175, 991, 547, 3406, 543, 1265, 873, 269, 3776, 3135, 2488, 1082, 1433, 6402, 547, 454, 16341, 2101, 29481, 585, 1433, 3877, 543, 1433, 19420, 976, 269, 1809, 581, 2386, 711, 1175, 454, 329, 2794, 883, 1022, 21869, 648, 3135, 547, 4444, 269, 11408, 4945, 834, 24718, 12313, 257, 7735, 547, 454, 4818, 732, 5777, 1101, 269, 1411, 1131, 581, 6126, 602, 875, 1454, 596, 1223, 4688, 676, 3257, 454, 1504, 3902, 6476, 563, 24246, 7734, 689, 14579, 13474, 454, 5978, 3804, 568, 547, 1265, 519, 10464, 652, 2835, 543, 2852, 9499, 585, 596, 267, 1312, 454, 2908, 543, 1031, 2835, 267, 689, 513, 1804, 1297, 540, 29481, 5001, 269, 17497, 938, 454, 1504, 3406, 9817, 30321, 1433, 5777, 689, 2475, 267, 5177, 267, 4516, 267, 5245, 267, 1715, 10215, 2676, 301, 5930, 4133, 267, 8581, 267, 5125, 267, 5333, 267, 543, 3567, 269, 2859, 29481, 689, 824, 454, 12248, 1845, 786, 581, 3773, 4166, 269, 6969, 9140, 689, 513, 4914, 1433, 4558, 610, 1433, 454, 3333, 641, 267, 581, 2386, 547, 2638 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10223, 2189, 3344, 899, 521, 25775, 267, 737, 30266, 657, 267, 22269, 32395, 267, 543, 2040, 334, 32702, 1701, 607, 851, 540, 834, 16300, 16337, 1315, 23089, 1315, 5607, 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, 2878, 17345, 5149, 281, 29088, 12734, 10657, 543, 25682, 4373, 5970, 596, 2479, 4862, 827, 24972, 22450, 286, 898, 781, 1175, 513, 16681, 2262, 585, 12202, 256, 3767, 267, 4952, 952, 649, 5143, 596, 602, 4730, 538, 519, 13897, 543, 3395, 2371, 1223, 2965, 948, 1004, 1745, 1732, 1107, 9308, 267, 15508, 267, 543, 14156, 269, 2334, 779, 1141, 24972, 12734, 3797, 2501, 883, 1404, 256, 2913, 781, 4685, 883, 713, 5863, 1158, 1927, 780, 1262, 1432, 568, 29088, 12734, 10657, 15140, 5331, 9361, 538, 707, 18147, 11303, 676, 4190, 5810, 543, 18932, 3039, 2044, 282, 875, 798, 596, 1745, 286, 4039, 1314, 539, 286, 13458, 995, 286, 8414, 286, 901, 4743, 568, 1018, 24972, 12734, 16293, 2832, 547, 3142, 547, 1346, 945, 991, 621, 1034, 269, 1358, 946, 10651, 543, 2371, 547, 3895, 8171, 543, 7067, 269, 4658, 7119, 538, 1114, 2238, 899, 9544, 5452, 267, 14450, 267, 18309, 267, 543, 1256, 16276, 269, 3414, 891, 3946, 6823, 2833, 267, 789, 1451, 1007, 1983, 1247, 5355, 741, 1072, 780, 1262, 1692, 6496, 29088, 12734, 10657, 4518, 15140, 3086, 1577, 803, 2995, 596, 1945, 3579, 910, 3744, 723, 1336, 602, 15025, 609, 2470, 666, 2569, 2566, 2157, 267, 2539, 1973, 2604, 267, 543, 5818, 938, 7099, 269, 1879, 649, 4677, 267, 938, 4703, 3132, 10399, 1572, 1439, 6973, 1231, 799, 957, 607, 2067, 1928, 26973, 619, 543, 1118, 721, 6126, 256, 9578, 267, 12391, 585, 2371, 11414, 5539, 267, 9639, 267, 543, 9316, 269, 2353, 891, 2640, 2097, 1927, 2870, 519, 3501, 11600, 585, 4824, 2790, 267, 2168, 267, 543, 3929, 1072, 780, 1262, 13070, 3472, 675, 6355, 17583, 5093, 2608, 288, 518, 658, 1530, 5338, 22177, 12441, 596, 917, 4213, 849, 946, 24972, 22450, 547, 2087, 938, 1604, 286, 2290, 971, 1383, 568, 1412, 320, 518, 658, 694, 5338, 8339, 6056, 827, 10825, 5452, 2066, 5318, 8916, 1210, 27858, 610, 19025, 269, 30474, 16517, 267, 1318, 286, 26478, 543, 6608, 1472, 519, 8608, 9772, 713, 1505, 547, 11177, 7733, 267, 8396, 3037, 11761, 267, 543, 2333, 3039, 6227, 269, 14992, 21751, 538, 19666, 694, 5338, 3565, 9797, 2509, 2825, 6940, 543, 1711, 2816, 3255, 693, 519, 1482, 942, 780, 1262, 4131, 781, 8347, 898, 4934, 256, 4373, 2791, 1810, 1405, 991, 547, 7227, 2394, 15296, 547, 1995, 519, 9059, 540, 24972, 12734, 3797, 269, 1411, 666, 1376, 2221, 256, 7233, 930, 11922, 538, 17428, 2282, 513, 13566, 6885, 610, 2253, 513, 1507, 8768, 5127, 3544, 269, 27297, 519, 2242, 936, 942, 267, 14637, 707, 2370, 5117, 1169, 1554, 269, 9523, 707, 3356, 609, 1920, 543, 2828, 267, 5807, 4296, 609, 1866, 998, 707, 2648, 585, 2470, 780, 1103, 3932, 267, 24972, 12734, 3797, 10905, 519, 1379, 540, 2470, 543, 9354, 2853, 547, 3986, 2949, 9716, 269, 1635, 1620, 922, 1764, 267, 596, 1932, 666, 1831, 606, 12167, 585, 5009, 2635, 2713, 998, 2241, 2943, 6209, 4205, 609, 2371, 269, 1924, 979, 6619, 267, 1205, 18660, 267, 1332, 1945, 4190, 267, 543, 28231, 519, 12587, 540, 8788, 543, 694, 1066, 640, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 20809, 476, 1708, 271, 1699, 12602, 454, 268, 17224, 658, 1530, 5338, 538, 670, 776, 3570, 454, 3963, 538, 5240, 454, 25748, 267, 519, 670, 776, 3570, 2229, 814, 6964, 19666, 694, 5338, 2553, 547, 2087, 3039, 3382, 538, 519, 589, 9545, 718, 328, 1858, 540, 519, 1533, 563, 268, 634, 1788, 568, 1373, 5645, 856, 593, 513, 12681, 4493, 547, 16956, 4733, 519, 1970, 10664, 5860, 610, 3954, 24231, 2127, 593, 538, 17739, 1043, 610, 2352, 4609, 540, 589, 9545, 718, 328, 543, 1744, 2526, 1731, 15113, 563, 268, 17224, 658, 1530, 5338, 568, 513, 24873, 4480, 13296, 6079, 11084, 2443, 5452, 4988, 609, 513, 7848, 540, 10036, 267, 11003, 267, 1347, 543, 824, 3334, 2443, 616, 10936, 539, 1210, 19666, 3457, 267, 1519, 14742, 267, 21484, 641, 1562, 610, 19025, 563, 268, 25994, 11084, 9706, 601, 7410, 616, 24797, 538, 513, 6098, 1858, 676, 1970, 1922, 2391, 19025, 267, 609, 519, 15098, 3246, 519, 2838, 2597, 585, 5452, 547, 2011, 17840, 593, 513, 24441, 4087, 2864, 982, 3478, 15658, 1042, 676, 519, 2842, 269, 1452, 26005, 17708, 339, 950, 972, 568, 2614, 4764, 267, 609, 5567, 1459, 1369, 873, 4543, 538, 3355, 2208, 563, 268, 19791, 602, 616, 538, 17739, 1043, 267, 2348, 14869, 19527, 610, 1100, 4104, 11507, 267, 666, 581, 6098, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 295, 677, 12734, 10657, 543, 25682, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 24322, 1315, 3397, 1026, 5350, 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, 2878, 272, 269, 272, 9502, 540, 25827, 16296, 4373, 5331, 596, 723, 2813, 1945, 5863, 782, 676, 3054, 256, 9320, 621, 781, 513, 2027, 7544, 6296, 267, 513, 3579, 5373, 267, 610, 1256, 513, 8949, 11600, 269, 1411, 1522, 1616, 547, 1397, 621, 547, 707, 2828, 543, 1920, 267, 855, 1018, 952, 2576, 3116, 12034, 621, 543, 13290, 547, 1491, 5491, 585, 707, 5137, 286, 2334, 9327, 1405, 581, 4023, 267, 1318, 286, 901, 568, 1141, 7214, 3959, 2501, 538, 2439, 4504, 21526, 3959, 630, 528, 7379, 264, 568, 513, 1259, 547, 2149, 2093, 543, 13144, 1500, 676, 1004, 781, 8186, 269, 898, 2337, 31132, 267, 5159, 267, 5830, 267, 543, 824, 3860, 11570, 1832, 741, 960, 2922, 689, 1373, 23652, 610, 1031, 1510, 10479, 269, 1703, 616, 1114, 2010, 540, 7214, 3959, 267, 971, 607, 24977, 267, 30931, 267, 5299, 23412, 267, 543, 4123, 11580, 269, 4653, 267, 649, 786, 1451, 827, 24977, 780, 288, 14664, 568, 899, 513, 9589, 13104, 602, 6227, 513, 6216, 1007, 8798, 269, 1879, 2576, 5932, 1945, 5963, 3312, 267, 789, 666, 2307, 585, 513, 14664, 547, 1118, 2386, 1100, 835, 3116, 666, 1118, 267, 6133, 267, 610, 946, 519, 1482, 3364, 1510, 741, 10479, 269, 5994, 2348, 513, 5728, 8630, 5264, 602, 1152, 596, 543, 707, 1655, 2828, 917, 875, 547, 4283, 1107, 513, 14664, 1568, 13974, 267, 7863, 707, 8798, 689, 1866, 945, 1810, 1405, 4866, 3330, 780, 15031, 757, 2097, 538, 1082, 5546, 543, 7306, 269, 2368, 24977, 3382, 2462, 1919, 899, 6191, 610, 2645, 267, 1247, 1866, 2149, 4130, 2093, 899, 2780, 3292, 610, 3114, 7135, 269, 1677, 1205, 513, 14664, 267, 606, 23266, 1590, 2671, 3877, 827, 741, 8798, 609, 519, 2229, 269, 634, 2229, 1287, 16976, 2436, 519, 2856, 568, 2189, 2614, 547, 17330, 4027, 269, 1403, 9516, 267, 519, 23266, 4991, 12600, 2924, 547, 741, 8798, 585, 513, 1978, 1974, 267, 2356, 1472, 476, 736, 1296, 780, 4131, 781, 1413, 693, 606, 3078, 1483, 3734, 1383, 256, 1684, 596, 2648, 4730, 3381, 3756, 286, 11289, 606, 23266, 3957, 1744, 9528, 340, 631, 12011, 600, 9369, 585, 2870, 27825, 899, 8111, 631, 9222, 645, 4592, 269, 543, 634, 26499, 540, 2098, 601, 6767, 269, 6004, 269, 631, 12011, 600, 9369, 4294, 585, 1896, 24977, 1644, 547, 1010, 3014, 6272, 267, 799, 5280, 1864, 5150, 519, 2924, 547, 891, 11537, 3197, 543, 9035, 269, 9453, 1346, 24977, 267, 4896, 1223, 723, 3144, 1010, 2093, 543, 10645, 873, 607, 741, 1378, 2439, 3086, 602, 596, 1174, 519, 9238, 540, 7214, 3959, 543, 24977, 1577, 781, 2263, 930, 1187, 2238, 1927, 256, 769, 938, 1985, 3296, 267, 649, 786, 4685, 4514, 883, 9236, 14664, 4031, 2066, 1585, 2477, 269, 1809, 3314, 267, 1175, 1317, 649, 14437, 827, 24977, 3085, 1405, 1611, 596, 1058, 1376, 2679, 707, 1378, 8630, 17346, 610, 6427, 532, 1007, 3381, 3756, 2943, 1107, 4734, 1346, 4247, 547, 519, 6738, 13522, 543, 4966, 256, 5502, 267, 2972, 1565, 811, 827, 519, 4241, 1158, 540, 3486, 543, 13354, 14664, 1876, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 4504, 21526, 16296, 281, 4139, 543, 22414, 30171, 4521, 257, 5497, 585, 1762, 1453, 563, 2171, 616, 4867, 1603, 519, 1101, 3184, 281, 834, 272, 269, 4985, 547, 4139, 543, 22414, 30171, 4521, 8487, 2791, 786, 581, 1603, 519, 1101, 1016, 15492, 585, 713, 3184, 563, 2237, 519, 1007, 1016, 15492, 11331, 834, 272, 269, 272, 269, 9502, 540, 7214, 3959, 257, 1247, 3843, 547, 581, 912, 268, 21004, 910, 596, 1711, 4101, 9499, 602, 3382, 519, 1570, 538, 3178, 563, 268, 12056, 910, 707, 9499, 723, 513, 2239, 9095, 543, 2502, 3159, 267, 899, 519, 1603, 540, 7812, 11066, 563, 268, 11930, 910, 596, 946, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 8855, 713, 1770, 568, 5497, 585, 1762, 1453, 2835, 267, 865, 946, 1360, 2241, 267, 4948, 1913, 543, 2453, 602, 513, 476, 1015, 4458, 6040, 1131, 3362, 1174, 269, 15681, 606, 2502, 543, 28292, 1650, 543, 2057, 1022, 1950, 2035, 610, 2930, 2474 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3622, 5838, 8476, 2773, 543, 1648, 4398, 3448, 547, 4587, 5481, 269, 1280, 3236, 267, 715, 4668, 8656, 781, 21512, 311, 3126, 18271, 3642, 12454, 4066, 543, 18422, 16439, 7207, 267, 4259, 3209, 4441, 585, 10853, 8654, 2360, 543, 18965, 12337, 2773, 780, 265, 300, 25514, 12025, 1299, 7392, 17041, 15283, 4456, 2450, 7506, 9403, 15205, 543, 12879, 282, 8754, 811, 8101, 9424, 6961, 25368, 585, 1164, 22822, 11080, 543, 14021, 24913, 338, 269, 5015, 267, 8939, 717, 291, 11403, 277, 936, 717, 291, 11403, 276, 3965, 5849, 2220, 604, 614, 1239, 4483, 3928, 543, 2539, 4234, 4293, 267, 28285, 538, 4824, 3308, 535, 23474, 543, 30506, 780, 265, 5141, 1442, 4325, 2644, 17041, 29453, 4295, 9219, 3432, 9598, 919, 2489, 4393, 4398, 269, 30205, 23234, 20301, 5021, 24276, 12451, 1282, 5230, 13907, 267, 6466, 3490, 23234, 24901, 6093, 5106, 2157, 269, 10313, 8271, 2362, 11250, 1226, 622, 547, 21284, 2773, 1761, 780, 265, 20175, 29283, 17041, 21414, 707, 7193, 781, 1379, 3761, 4390, 1354, 16565, 513, 14984, 12449, 3556, 269, 4400, 570, 7894, 630, 307, 615, 7356, 5071, 5295, 264, 16863, 1522, 28173, 18175, 15665, 707, 1379, 3761, 1770, 547, 13918, 2799, 1648, 7569, 780, 265, 13528, 16748, 17041, 1306, 322, 1643, 2436, 707, 6074, 2203, 13352, 3330, 707, 669, 817, 529, 6236, 2168, 7516, 543, 623, 5746, 324, 18921, 17356, 269, 22387, 268, 3951, 311, 11700, 17007, 949, 20818, 9993, 593, 3259, 543, 8700, 267, 8260, 908, 11741, 14726, 899, 1970, 3491, 12803, 610, 9514, 518, 16654, 3579, 619, 780, 1262, 276, 269, 12305, 532, 29093, 21998, 16001, 5629, 596, 4312, 22876, 3293, 513, 15095, 12449, 3556, 3358, 547, 707, 7375, 267, 1246, 891, 3268, 585, 15774, 5610, 1384, 272, 269, 1744, 583, 1524, 707, 7193, 4625, 267, 31028, 532, 782, 15791, 543, 13020, 1023, 563, 273, 269, 7046, 707, 2013, 1210, 3617, 17684, 323, 31034, 267, 4180, 7850, 14910, 2429, 519, 5650, 563, 274, 269, 700, 11229, 606, 2139, 623, 5746, 18124, 1535, 1626, 18921, 593, 707, 3993, 4580, 267, 3335, 17479, 14282, 547, 519, 17765, 23094, 563, 275, 269, 28392, 7696, 519, 12449, 3556, 19794, 883, 519, 18921, 267, 26936, 519, 4496, 17066, 609, 519, 27296, 269, 15233, 9543, 2604, 2394, 519, 17516, 31455, 22851, 609, 519, 15493, 8470, 563, 276, 269, 24344, 519, 12449, 3556, 609, 17684, 4433, 264, 3177, 267, 1140, 2286, 873, 547, 519, 7269, 15922, 4410, 338, 563, 277, 269, 1234, 3430, 778, 1022, 1033, 3737, 15791, 543, 1964, 691, 707, 7193, 269, 12305, 2556, 10256, 3842, 7131, 22230, 13748, 610, 4647, 873, 689, 519, 10672, 781, 4013, 3896, 780, 3528, 8499, 30230, 4771, 519, 16082, 540, 12449, 6486, 267, 741, 10083, 267, 15285, 267, 5542, 7355, 267, 543, 10380, 3157, 267, 596, 2990, 3054, 547, 11694, 707, 7193, 781, 21370, 7207, 929, 644, 1836, 269, 13773, 32448, 540, 9687, 6639, 7760, 543, 2872, 3466, 547, 2327, 6099, 13345, 540, 8800, 9541, 543, 2226, 8013, 6316, 2066, 1585, 3498, 11890, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8702, 547, 938, 10700, 3391, 593, 2780, 8637, 538, 15528, 290, 256, 6787, 596, 2461, 513, 10509, 27423, 267, 513, 3318, 13708, 518, 267, 610, 3274, 2576, 538, 991, 540, 513, 1007, 15291, 267, 713, 2376, 568, 1934, 547, 948, 596, 6330, 998, 519, 14297, 1158, 540, 2780, 8637, 538, 20274, 4975, 269, 769, 713, 3102, 3391, 267, 649, 786, 3802, 596, 998, 519, 1283, 2780, 8637, 538, 15528, 290, 267, 10223, 741, 2189, 17008, 267, 6075, 3028, 267, 543, 519, 1655, 9388, 596, 666, 1265, 563, 4415, 519, 2810, 3747, 585, 2029, 267, 519, 3681, 585, 2780, 8637, 538, 15528, 290, 723, 6738, 28354, 269, 1717, 267, 711, 782, 8637, 616, 2813, 3160, 269, 2368, 2709, 513, 2647, 2039, 540, 2472, 267, 1247, 1866, 20647, 538, 1808, 2127, 269, 3776, 2832, 568, 547, 1683, 596, 609, 2143, 4030, 267, 3850, 596, 547, 1118, 606, 5483, 3375, 950, 621, 2501, 547, 11449, 707, 1985, 2780, 610, 10509, 31942, 563, 763, 15306, 16735, 281, 2659, 2290, 21178, 641, 19255, 585, 2353, 15306, 20126, 454, 2252, 596, 2461, 3168, 585, 513, 4558, 602, 3091, 606, 3573, 5542, 540, 5904, 267, 24195, 267, 13020, 1023, 267, 543, 17960, 267, 634, 15306, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 20877, 923, 21998, 257, 607, 851, 540, 834, 28035, 1315, 10434, 2264, 1315, 9608, 23675, 1315, 7193, 338, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 4197, 16549, 1529, 6541, 5525, 692, 8702, 267, 1762, 5640, 256, 4653, 267, 649, 2811, 2469, 547, 7832, 593, 606, 3078, 3460, 998, 519, 1158, 540, 27828, 2090, 267, 799, 8813, 896, 519, 6626, 22597, 540, 4008, 2090, 269, 1411, 1522, 4898, 267, 834, 1432, 1281, 621, 1611, 547, 1353, 27828, 8119, 4270, 267, 1577, 781, 4685, 1318, 883, 621, 2439, 5331, 596, 616, 4730, 707, 5172, 3381, 3014, 269, 3962, 1915, 814, 922, 2189, 5759, 267, 9342, 267, 543, 12755, 269, 3767, 1589, 827, 875, 891, 3197, 2769, 741, 27828, 1107, 6148, 789, 1397, 22838, 267, 4987, 267, 610, 5718, 269, 1809, 1705, 596, 917, 602, 7215, 540, 27828, 666, 8428, 7494, 1063, 4529, 543, 1256, 1689, 936, 942, 1369, 519, 1482, 2528, 286, 2334, 781, 1141, 27828, 2090, 2097, 538, 256, 1358, 948, 721, 1174, 875, 2367, 543, 8695, 1995, 543, 2769, 741, 812, 3125, 780, 4131, 781, 2263, 1614, 1292, 2035, 538, 27828, 2090, 1927, 1384, 272, 269, 2878, 29613, 1023, 540, 2494, 3125, 4995, 5272, 2486, 814, 1978, 6788, 585, 875, 2367, 543, 8695, 1058, 13789, 269, 1452, 16431, 949, 1331, 1373, 2178, 267, 4830, 267, 610, 12026, 10899, 269, 1717, 267, 891, 6788, 4268, 2066, 4529, 543, 3140, 21971, 269, 1280, 3236, 267, 4952, 2713, 1282, 10120, 2053, 950, 669, 2526, 787, 729, 1898, 282, 29843, 941, 4397, 547, 2149, 1866, 1247, 849, 11744, 21806, 543, 8956, 269, 25037, 602, 609, 4207, 5375, 7239, 267, 1141, 2367, 1522, 3068, 2604, 547, 14133, 693, 960, 543, 12404, 13438, 269, 1635, 4974, 16431, 540, 812, 3125, 267, 649, 1451, 811, 827, 2686, 8155, 543, 2418, 563, 273, 269, 2878, 25842, 540, 4317, 1436, 4995, 5620, 596, 2479, 4862, 2576, 2161, 267, 834, 289, 9081, 786, 581, 8695, 22172, 898, 10522, 602, 8695, 616, 20244, 10728, 610, 8013, 1813, 547, 741, 4008, 269, 8616, 267, 1514, 2257, 1382, 2982, 602, 6848, 6788, 3337, 1454, 540, 938, 2623, 269, 27258, 1451, 2038, 593, 875, 547, 957, 899, 834, 9418, 2367, 2437, 1419, 4835, 1944, 1346, 16431, 540, 812, 3125, 649, 5941, 4505, 269, 1879, 789, 1810, 1405, 2743, 891, 6788, 267, 789, 1522, 1745, 19849, 21724, 610, 2451, 856, 269, 24356, 519, 1764, 540, 23462, 2337, 721, 5431, 519, 1379, 6384, 3297, 5935, 9163, 563, 274, 269, 2878, 291, 5744, 23800, 540, 9093, 543, 27258, 4995, 3807, 1317, 2576, 568, 5256, 3085, 1405, 1611, 789, 2671, 2147, 2833, 269, 11790, 971, 607, 5198, 267, 14940, 267, 4638, 10066, 267, 14227, 4567, 267, 543, 2702, 1377, 782, 3565, 547, 3309, 7215, 540, 27828, 269, 2913, 781, 1491, 606, 1383, 281, 1079, 9845, 12721, 538, 5026, 1223, 1312, 2697, 607, 5256, 855, 723, 4625, 1114, 909, 1962, 532, 902, 543, 2591, 7133, 741, 2773, 269, 20876, 4763, 2636, 721, 547, 5660, 1367, 2984, 543, 5706, 11475, 780, 9961, 1686, 267, 1004, 723, 6594, 1480, 2623, 689, 1585, 5380, 899, 6138, 267, 4984, 267, 9297, 267, 543, 6214, 269, 16549, 1529, 6541, 2090, 1683, 1776, 7828, 547, 4983, 875, 2043, 6330, 741, 575, 25311, 5107, 269, 5457, 267, 1620, 891, 2035, 666, 1291, 547, 3152, 6568, 543, 13784, 1851, 1004, 540, 782, 10080, 269, 1924, 1985, 942, 596, 1404, 707, 5172, 3381, 3014, 610, 7747, 1483, 3734, 3871, 267, 2119, 10452, 593, 519, 16431, 540, 812, 3125, 267, 5222, 540, 23462, 267, 543, 3309, 2833, 4843, 1354, 596, 269, 8414, 3695, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 1353, 540, 9930, 1588, 2042, 568, 835, 540, 519, 1034, 1271, 540, 2413, 23316, 1382, 8846, 269, 2311, 519, 1482, 942, 267, 972, 568, 513, 3668, 540, 15287, 540, 930, 3344, 540, 713, 1966, 269, 634, 10083, 540, 519, 1888, 7150, 538, 519, 2140, 3541, 1392, 689, 519, 13385, 1646, 540, 513, 2039, 540, 1950, 23066, 2042, 2404, 609, 4008, 9930, 1588, 538, 519, 2361, 540, 6863, 269, 634, 23506, 540, 519, 4008, 9930, 1588, 540, 9038, 585, 1585, 4128, 267, 1519, 2085, 543, 4110, 540, 737, 29023, 267, 3768, 699, 343, 680, 334, 1243, 16786, 585, 17833, 3240, 330, 23316, 20136, 2376, 568, 1759, 593, 606, 2079, 540, 519, 3312, 5931, 540, 17833, 3240, 330, 12563, 8964, 689, 1114, 942, 5712, 6592, 676, 19216, 538, 519, 2473, 21197, 268, 18958, 5553, 269, 589, 269, 667, 269, 23052, 928, 341, 27210, 14722, 723, 2141, 6836, 547, 2491, 1480, 2623, 269, 28900, 267, 519, 2243, 14340, 281, 1018, 568, 519, 3483, 540, 1480, 2623, 286, 901, 1966, 729, 2808, 689, 1114, 2798, 540, 2070, 630, 874, 3342, 28441, 267, 3909, 267, 5837, 267, 2804, 267, 2797, 267, 25349, 1070, 543, 19048, 3744, 538, 519, 954, 4134, 4184, 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, 300, 553, 1529, 6541, 5525, 257, 607, 851, 540, 834, 24719, 13316, 1315, 13834, 5525, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 4495, 2390, 513, 942, 538, 519, 14297, 2749, 540, 1530, 9567, 267, 1079, 9164, 3957, 3687, 329, 3019, 543, 808, 328, 6614, 517, 5249, 1927, 693, 28932, 2426, 779, 11628, 5303, 10406, 269, 5637, 941, 13730, 827, 2870, 5499, 5985, 2833, 585, 3755, 5001, 269, 1717, 267, 789, 1185, 1114, 4485, 950, 621, 3357, 547, 3384, 5969, 12967, 16335, 4066, 780, 14737, 329, 3019, 729, 606, 16529, 11653, 945, 5156, 538, 11319, 6302, 1510, 6236, 1761, 29854, 269, 1261, 2219, 267, 968, 306, 4461, 2426, 2115, 547, 3251, 6619, 540, 15712, 676, 7683, 10962, 14262, 2934, 1848, 2201, 519, 824, 1688, 267, 808, 328, 6614, 517, 3922, 1242, 5683, 9270, 543, 1193, 1882, 585, 3666, 1063, 5647, 543, 3593, 1995, 269, 2701, 1131, 2161, 267, 968, 2005, 779, 1271, 547, 6432, 547, 938, 5561, 685, 2115, 1247, 4180, 3743, 3356, 14325, 3080, 1554, 267, 1282, 513, 23730, 8400, 267, 3687, 329, 3019, 6069, 6220, 4359, 11132, 6284, 2029, 883, 741, 14232, 17514, 1222, 3926, 269, 19196, 1243, 569, 267, 646, 6045, 875, 713, 1223, 22499, 3354, 3800, 593, 16389, 269, 1809, 950, 4280, 827, 7834, 4145, 267, 646, 1490, 19813, 873, 11735, 267, 1202, 12371, 602, 1004, 1131, 786, 5944, 15093, 930, 7834, 585, 13418, 780, 297, 328, 6614, 517, 6659, 1200, 32071, 4900, 693, 713, 6376, 269, 28392, 7446, 1200, 1913, 267, 1352, 20402, 2436, 789, 1058, 14207, 3593, 3972, 585, 2110, 3856, 12374, 269, 2991, 782, 267, 4509, 513, 1434, 10639, 3576, 1296, 540, 4674, 267, 543, 9561, 621, 1522, 581, 29070, 269, 769, 3210, 267, 3687, 329, 3019, 11130, 602, 1373, 1101, 547, 2344, 729, 2629, 585, 1967, 267, 14962, 532, 808, 328, 6614, 517, 779, 31536, 542, 607, 11991, 13657, 780, 2026, 519, 7521, 4797, 267, 789, 4956, 547, 5077, 741, 9614, 267, 6004, 269, 5244, 267, 3823, 519, 2339, 269, 6764, 5962, 676, 1312, 7440, 267, 6004, 269, 5244, 17019, 519, 4644, 540, 9363, 8013, 2943, 6444, 519, 1871, 540, 30176, 3593, 3972, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 513, 1970, 6060, 593, 2110, 3856, 3965, 1983, 543, 1178, 335, 22351, 1702, 269, 1230, 7501, 269, 23207, 4305, 7569, 3366, 547, 513, 811, 2143, 4879, 540, 22565, 4393, 1983, 269, 7351, 4879, 26336, 1058, 4061, 581, 6905, 609, 811, 14053, 2175, 269, 769, 1769, 540, 519, 5784, 593, 22565, 4393, 267, 649, 15974, 602, 513, 4999, 540, 2518, 543, 10763, 2994, 568, 1031, 547, 1118, 513, 2953, 22565, 10385, 563, 308, 22744, 2407, 1257, 454, 8196, 707, 681, 308, 22754, 630, 340, 270, 345, 5991, 3784, 543, 10957, 264, 547, 2845, 538, 609, 590, 7838, 293, 322, 821, 868, 547, 14202, 513, 3758, 585, 4393, 676, 519, 23789, 2319, 269, 0, 763, 2262, 6165, 1806, 1657, 723, 1044, 10356, 689, 1585, 2959, 547, 2992, 1699, 543, 2351, 658, 6165, 269, 1358, 798, 711, 2099, 519, 8369, 540, 2659, 291, 5315, 2593, 563, 763, 1977, 19829, 22956, 25371, 30215, 630, 5908, 273, 268, 3707, 278, 264, 729, 7022, 540, 12052, 2160, 1282, 922, 1974, 540, 6574, 7269, 267, 538, 799, 621, 9715, 606, 3486, 10639, 607, 513, 4099, 540, 1382, 543, 14172, 563, 290, 5255, 1047, 630, 8619, 269, 476, 9264, 276, 268, 6942, 275, 264, 729, 1312, 22420, 543, 2112, 8783, 540, 519, 932, 597, 545, 1695, 7699, 28833, 6512, 540, 1977, 12075, 269, 3571, 2702, 12236, 1864, 519, 25084, 834, 1492, 28833, 19167, 1701, 0, 763, 5702, 1644, 570, 12350, 1014, 2511, 30147, 24283, 689, 621, 28934, 585, 2875, 8100, 267, 543, 568, 13747, 689, 519, 18328, 5308, 676, 522, 3939, 540, 19722, 7436, 538, 4704, 8638, 267, 543, 16601, 1569, 4266, 11239, 563, 288, 12007, 1935, 267, 971, 607, 10647, 11042, 610, 1543, 2079, 540, 31150, 5931, 267, 666, 6556, 3078, 1007, 4030, 827, 513, 1382, 1966, 267, 855, 621, 1058, 711, 581, 17298, 3274, 1317, 596, 723, 513, 771, 323, 664, 585, 4881, 513, 2241, 9695, 563, 7659, 3604, 689, 3105, 12370, 26159, 25737, 23067, 9406, 21820, 281, 901, 949, 3280, 11566, 267, 855, 17096, 666, 581, 3362, 14284, 676, 1210, 938, 12370, 26159, 11718, 543, 8876, 856, 707, 1382, 543, 2854, 960, 24617, 543, 19100, 563, 3080, 2278, 267, 1433, 267, 2789, 21820, 281, 32228, 923, 616, 2141, 1031, 585, 519, 10643, 540, 2835, 543, 2147, 12326, 26759, 1346, 609, 9768, 338, 538, 1257, 267, 3723, 17084, 267, 543, 12190, 13132, 269, 634, 1505, 1590, 581, 3617, 547, 16180, 519, 2949, 6663, 540, 519, 1353, 269, 2598, 24711, 2989, 676, 519, 17173, 1184, 540, 19696, 563, 763, 6609, 540, 519, 1788, 781, 12191, 1264, 906, 513, 1592, 540, 2959, 538, 602, 621, 5036, 8521, 519, 3919, 543, 7664, 540, 1344, 32338, 908, 689, 1346, 2959, 269, 634, 3349, 540, 2665, 1058, 2097, 1354, 519, 3349, 540, 9086, 6465, 21881, 7405, 1058, 581, 7396, 14384, 693, 519, 1439, 540, 519, 3349, 540, 9086, 8865, 4408, 616, 711, 24495, 545, 2213, 267, 7429, 11992, 538, 519, 3561, 17796, 1058, 581, 7396, 9904, 1227, 676, 519, 1101, 1713, 2262, 552, 563, 2005, 531, 923, 616, 711, 1031, 585, 10643, 540, 29071, 267, 27152, 7405, 267, 1447, 6101, 12326, 609, 1100, 5010, 17404, 610, 9768, 267, 610, 585, 1367, 1357, 3817, 563, 29241, 593, 7308, 30559, 609, 707, 5985, 6049, 610, 16979, 910, 950, 596, 11571, 519, 536, 2117, 1712, 540, 707, 1433, 609, 519, 5985, 813, 267, 519, 11718, 786, 8850, 1039, 519, 4628, 268, 8971, 1540, 11239, 547, 707, 6074, 1788, 563, 17746, 6627, 21637, 2920, 521, 476, 3393, 476, 275, 5600, 540, 12780, 645, 1571, 723, 513, 4881, 1297, 538, 4009, 23049, 693, 519, 1439, 267, 1310, 519, 7389, 540, 519, 4143, 12057, 776, 8400, 563, 27270, 5903, 595, 3062, 514, 267, 661, 269, 769, 1312, 2665, 267, 538, 17856, 14327, 1448, 547, 606, 9904, 673, 1592, 540, 2959, 693, 519, 1439, 540, 519, 1957, 538, 513, 22108, 3296, 269, 634, 6697, 7127, 538, 519, 15853, 1131, 581, 281, 13536, 713, 1592, 540, 2959, 786, 1831, 707, 15853, 563, 1607, 1826, 540, 1382, 6212, 593, 6662, 1702, 267, 1382, 2055, 602, 666, 581, 12943, 9811, 610, 1100, 267, 543, 10512, 8847, 540, 4632, 547, 581, 6027, 563, 4913, 267, 1247, 6436, 543, 2409, 616, 1419, 1644, 267, 621, 568, 1271, 602, 267, 607, 513, 11001, 267, 596, 22393, 5094, 873, 538, 1931, 547, 2057, 707, 6436, 4730, 513, 19018, 622, 1909, 538, 5935, 1018, 4093, 707, 6074, 2409, 3132, 563, 8489, 798, 594, 1265, 519, 3877, 2877, 538, 513, 15853, 563, 4338, 288, 11239, 2511, 568, 2147, 547, 12370, 26159, 4289, 532, 519, 2278, 781, 2012, 543, 1032, 540, 8313, 267, 4352, 891, 666, 1491, 1079, 3029, 281, 1280, 4760, 4930, 267, 519, 2140, 540, 519, 4760, 1058, 581, 9102, 538, 24495, 923, 267, 2864, 982, 519, 2140, 540, 519, 4760, 2376, 13317, 1047, 519, 1101, 4484, 540, 519, 8313, 2140, 267, 519, 1101, 5022, 540, 782, 1292, 1913, 538, 519, 2140, 540, 513, 4760, 267, 543, 782, 1101, 5022, 540, 513, 1747, 2012, 543, 17404, 1306, 513, 2489, 4341, 513, 12370, 4704, 1592, 2882, 1169, 2707, 602, 596, 723, 11855, 538, 707, 960, 267, 15029, 513, 15853, 849, 3568, 1022, 4143, 4282, 2542, 799, 596, 723, 31570, 1256, 1346, 2959, 602, 616, 2760, 5018, 538, 519, 2239, 563, 16914, 23847, 12370, 2511, 8100, 616, 1175, 513, 4945, 2476, 269, 898, 568, 1271, 547, 7703, 538, 2247, 602, 972, 568, 513, 30162, 540, 1114, 11239, 6163, 856, 972, 910, 519, 946, 540, 1022, 1880, 835, 5673, 593, 519, 13283, 540, 707, 2852, 267, 1641, 267, 7548, 610, 519, 8313, 596, 616, 26446, 519, 960, 547, 563, 15037, 476, 1724, 267, 5788, 1879, 596, 2328, 513, 1957, 610, 513, 1433, 267, 621, 781, 1271, 547, 1331, 513, 15853, 269, 589, 15853, 6645, 707, 5467, 1018, 2959, 596, 4312, 1031, 269, 898, 8638, 782, 519, 2835, 267, 4930, 267, 543, 824, 8100, 596, 11855, 538, 610, 1031, 547, 1217, 707, 960, 260, 263, 1240, 1916, 3918, 29052, 27301, 5058, 2475, 5058, 13013, 4596, 6369, 8791, 476, 279, 23959, 540, 27418, 543, 18489, 3175, 282, 24157, 13132, 1411, 1590, 2141, 1331, 513, 3349, 540, 2665, 267, 3349, 540, 9086, 543, 15853, 630, 4289, 532, 519, 6281, 2959, 1775, 4318, 269, 2835, 267, 4760, 4930, 3092, 12175, 4985, 547, 13013, 4596, 6369, 630, 23682, 5112, 2160, 9208, 585, 27375, 540, 13751, 8191, 885, 264, 26159, 910, 8380, 707, 15853, 1927, 563, 3918, 29052, 27301, 5058, 2475, 5058, 13013, 4596, 6369, 8791, 476, 279, 23959, 540, 27418, 543, 18489, 3175, 282, 24157, 13132, 1411, 1590, 2141, 1331, 513, 3349, 540, 2665, 267, 3349, 540, 9086, 543, 15853, 630, 4289, 532, 519, 6281, 2959, 1775, 4318, 563, 9248, 267, 4760, 4930, 3092, 28593, 290, 1746, 519, 4521, 1210, 13013, 4596, 6369, 910, 606, 2228, 5850, 676, 6176, 7896, 5234, 693, 9315, 858, 2160, 1715, 31069, 4521, 20513, 13013, 4596, 6369, 5850, 5623, 540, 13013, 4596, 6369, 676, 3627, 21890, 1030, 15505, 20465, 476, 3607, 18243, 327, 748, 773, 700, 297, 543, 593, 9399, 305, 301, 563, 13775, 281, 570, 826, 267, 476, 866, 5463, 3848, 476, 274, 6396, 1108, 269, 901, 3184, 786, 1865, 519, 1382, 12191, 2139, 585, 519, 1353, 543, 2015, 519, 2409, 10858, 585, 946, 543, 786, 1459, 875, 519, 1382, 786, 581, 8045, 543, 875, 547, 12446, 693, 22317, 4681, 32289, 547, 2328, 513, 15853, 1210, 522, 2675, 7637 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1522, 581, 11842, 1018, 2636, 5124, 547, 581, 971, 513, 11684, 5752, 1893, 286, 589, 2603, 540, 621, 814, 547, 798, 609, 519, 1585, 10850, 543, 8021, 602, 723, 1044, 3710, 585, 5124, 563, 299, 2320, 2456, 616, 10070, 540, 3252, 543, 2409, 630, 516, 20608, 543, 4291, 17014, 3009, 264, 609, 1808, 703, 757, 282, 543, 10850, 811, 610, 1447, 616, 10070, 540, 8021, 269, 1403, 596, 2307, 1022, 5124, 17354, 267, 789, 666, 2012, 693, 2547, 513, 3368, 28273, 7999, 8021, 789, 946, 269, 1280, 1383, 267, 594, 1419, 946, 17877, 267, 17455, 553, 267, 543, 2233, 18145, 268, 16753, 2443, 519, 13411, 959, 6541, 585, 1239, 3744, 2443, 547, 1685, 2979, 543, 3621, 4238, 267, 13861, 543, 5659, 1239, 267, 543, 1628, 543, 5721, 3631, 267, 6606, 269, 3509, 5124, 2861, 1357, 9367, 786, 2012, 30622, 24546, 607, 835, 540, 741, 9053, 10850, 585, 2679, 1357, 3156, 563, 4407, 621, 779, 3020, 602, 8021, 616, 2854, 585, 1034, 5752, 4654, 543, 711, 1175, 5124, 267, 5124, 779, 32636, 267, 31824, 267, 543, 8560, 5000, 519, 1646, 540, 811, 8021, 267, 799, 538, 2490, 2306, 5124, 1256, 811, 2442, 543, 3593, 7888, 585, 4540, 9367, 543, 30226, 619, 269, 1879, 596, 1451, 5124, 267, 596, 4465, 1406, 1175, 581, 1565, 3490, 5124, 267, 596, 3580, 581, 1565, 547, 946, 693, 2547, 513, 5399, 610, 1079, 563, 274, 269, 5124, 9367, 616, 538, 3747, 563, 6624, 1004, 1451, 547, 1982, 547, 3986, 741, 1699, 12588, 282, 1866, 547, 1689, 741, 11678, 269, 594, 3323, 1055, 607, 835, 540, 519, 5449, 855, 2968, 519, 8545, 269, 6969, 1239, 2257, 267, 594, 3710, 3059, 740, 11044, 543, 513, 2603, 540, 1250, 960, 729, 3678, 23534, 269, 3733, 1152, 1966, 729, 602, 594, 4769, 1406, 917, 875, 547, 3009, 269, 4014, 594, 5555, 4121, 875, 267, 538, 519, 1184, 540, 1565, 5124, 585, 1250, 960, 267, 594, 729, 4843, 609, 1114, 2816, 3255, 1141, 594, 1223, 946, 5124, 267, 543, 4121, 827, 1114, 3549, 945, 941, 3168, 585, 1004, 4810, 538, 5124, 269, 1656, 865, 594, 1500, 513, 6467, 563, 2467, 616, 513, 2603, 540, 5124, 5829, 5107, 538, 7986, 6080, 269, 4340, 547, 15765, 13750, 267, 519, 6080, 609, 519, 1034, 991, 585, 5124, 616, 6142, 267, 10685, 12948, 267, 23825, 267, 8804, 267, 1870, 2533, 267, 8800, 267, 3782, 267, 17874, 2533, 267, 9623, 24289, 630, 20459, 281, 5616, 1070, 543, 3301, 1646, 269, 3245, 1250, 1378, 1995, 267, 594, 1131, 1039, 2923, 267, 6725, 267, 543, 10229, 547, 602, 1592, 563, 3963, 865, 1082, 286, 1306, 891, 6080, 2413, 1242, 267, 3549, 1369, 873, 723, 1044, 10655, 543, 1210, 1239, 693, 606, 2810, 2557, 269, 4256, 1239, 2115, 723, 1831, 811, 9867, 543, 10427, 267, 543, 538, 2490, 267, 741, 991, 585, 1004, 5827, 540, 5883, 267, 7421, 267, 543, 10512, 1944, 1239, 814, 2799, 269, 769, 519, 2104, 267, 972, 786, 581, 1360, 1906, 5107, 602, 4465, 1406, 581, 7722, 538, 1239, 267, 799, 568, 1946, 1565, 5124, 1631, 568, 811, 1271, 982, 2479, 2443, 621, 779, 835, 1259, 547, 16886, 31383, 707, 4876, 543, 707, 2816, 16548, 563, 288, 2603, 540, 1283, 10509, 3549, 1871, 5124, 23501, 269, 1280, 3236, 267, 547, 2161, 602, 5616, 968, 4926, 892, 5124, 568, 606, 896, 8063, 618, 269, 7324, 5616, 8030, 267, 898, 779, 513, 4122, 1031, 1893, 585, 1646, 543, 1382, 267, 543, 5616, 779, 1256, 5950, 741, 1378, 5124, 2511, 3391, 269, 5616, 8030, 723, 2919, 1896, 8021, 585, 519, 4324, 540, 519, 5124, 2146, 1519, 32150, 6503, 267, 513, 2442, 1930, 21299, 3684, 1565, 5399, 269, 13334, 3096, 5124, 547, 17982, 3381, 267, 1569, 1239, 267, 543, 538, 1585, 824, 2081, 269, 5124, 779, 17082, 10842, 334, 8709, 17664, 636, 267, 513, 10656, 27732, 267, 729, 21534, 676, 5616, 547, 2087, 741, 1627, 288, 10873, 269, 1656, 1034, 11932, 267, 519, 3919, 5170, 547, 15313, 543, 16926, 811, 1004, 9952, 538, 5124, 269, 4033, 8037, 10509, 3549, 945, 4749, 16926, 585, 5124, 13007, 1331, 29100, 7901, 267, 2372, 7702, 267, 20787, 8759, 267, 670, 1168, 27451, 6261, 871, 731, 267, 19120, 5570, 267, 22126, 267, 543, 595, 8646, 563, 15563, 267, 609, 3747, 1419, 2501, 8007, 269, 14992, 3168, 547, 16926, 1004, 9952, 538, 5124, 1419, 2628, 1283, 13362, 610, 519, 9153, 540, 2799, 14057, 1761, 269, 0, 18907, 476, 1789, 267, 476, 13923, 271, 281, 589, 18979, 6370, 9397, 856, 538, 519, 3854, 540, 513, 1390, 10504, 269, 634, 25069, 322, 14610, 267, 22757, 345, 6373, 4083, 267, 568, 1336, 4666, 269, 25069, 322, 21847, 29677, 5053, 28164, 689, 14210, 5255, 339, 527, 331, 17505, 630, 339, 599, 5991, 1177, 577, 14482, 564, 268, 6369, 295, 301, 1070, 741, 7887, 2749, 563, 763, 7904, 4370, 5053, 4163, 13063, 540, 4154, 543, 824, 16782, 789, 588, 1961, 689, 519, 25069, 14369, 269, 2368, 7980, 6749, 519, 4154, 607, 789, 2119, 547, 9101, 998, 519, 2749, 779, 23668, 269, 1284, 19042, 1524, 676, 519, 561, 2393, 267, 1866, 2887, 883, 519, 1216, 543, 546, 3497, 269, 1677, 519, 5053, 267, 602, 3781, 3587, 1634, 607, 5487, 715, 28970, 570, 2077, 324, 267, 610, 968, 1492, 19759, 13957, 3034, 3086, 267, 5176, 476, 4335, 1296, 2663, 267, 3173, 723, 5462, 602, 513, 4154, 3046, 4362, 538, 6792, 729, 851, 540, 519, 25069, 322, 14951, 4503, 593, 602, 8978, 3781, 269, 0, 307, 1662, 2041, 20623, 910, 12168, 359, 404, 368, 24220, 17262, 24220, 10096, 538, 2296, 454, 307, 1662, 2041, 20623, 910, 12168, 359, 404, 368, 24220, 17262, 24220, 26479, 454, 8923, 1265, 476, 275, 2296, 543, 8847, 1644, 547, 519, 2262, 570, 1662, 2041, 20623, 910, 12168, 359, 404, 368, 24220, 17262, 24220, 563, 268, 630, 29825, 264, 2433, 513, 11430, 878, 6648, 609, 1950, 588, 24521, 3029, 454, 268, 630, 29825, 264, 2433, 513, 17895, 894, 19583, 2966, 547, 29360, 519, 6547, 540, 1866, 454, 268, 630, 29825, 264, 2433, 19762, 560, 1537, 2575, 5129, 693, 519, 4098, 540, 606, 22968, 610, 610, 1807, 1470, 454, 268, 630, 29825, 264, 2433, 1945, 602, 5713, 607, 513, 18631, 2680, 610, 12857, 1018, 5205, 454, 5415, 1913, 1644, 547, 519, 10096, 540, 570, 1662, 2041, 20623, 910, 12168, 359, 404, 368, 24220, 17262, 24220, 454, 5415, 1913, 689, 2296, 1644, 547, 570, 1662, 2041, 20623, 910, 12168, 359, 404, 368, 24220, 17262, 24220, 454, 8698, 606, 3573, 1592, 540, 1913, 2630, 602, 616, 1644, 547, 519, 10096, 540, 519, 2262, 570, 1662, 2041, 20623, 910, 12168, 359, 404, 368, 24220, 17262, 24220, 10096, 538, 2296, 538, 2296, 563, 3530, 3305, 566, 920, 9016, 3530, 1515, 321, 564, 549, 11209, 326, 1601, 760, 332, 2660, 2908, 810, 3200, 675, 4812, 2889, 12378, 2889, 27760, 638, 5465, 599, 902, 889, 560, 4545, 13926, 564, 1779, 2251, 339, 8084, 5320, 8364, 1245, 527, 1399, 617, 564, 527, 956, 784, 569, 3740, 640, 569, 29182, 569, 878, 3359, 613, 564, 326, 996, 326, 603, 5570, 775, 618, 2102, 525, 719, 3553, 8218, 940, 2102, 8412, 1326, 12537, 514, 4003, 8114, 794, 8181, 2747, 8181, 14306, 330, 1157, 1055, 10594, 514, 11034, 10603, 1046, 618, 976, 23293, 976, 9116, 902, 5570, 18730, 5570, 839, 4851, 935, 11133, 3130, 2181, 4003, 4429, 1432, 616, 519, 10096, 540, 570, 1662, 2041, 20623, 910, 12168, 359, 404, 368, 24220, 17262, 24220, 538, 2296, 888, 13614, 902, 540, 519, 2262, 570, 1662, 2041, 20623, 910, 12168, 359, 404, 368, 24220, 17262, 24220, 538, 2296, 616, 522, 1372, 543, 16765, 675, 269, 1677, 1174, 875, 1131, 596, 14377, 519, 2262, 570, 1662, 2041, 20623, 910, 12168, 359, 404, 368, 24220, 17262, 24220, 538, 2296, 267, 596, 666, 1491, 948, 689, 1913, 5702, 1644, 547, 570, 1662, 2041, 20623, 910, 12168, 359, 404, 368, 24220, 17262, 24220, 610, 621, 779, 2296, 16627, 269, 2368, 540, 891, 1913, 666, 849, 581, 2808, 570, 1662, 2041, 20623, 910, 12168, 359, 404, 368, 24220, 17262, 24220, 19655, 269, 769, 2013, 596, 1616, 1256, 811, 3877, 267, 596, 666, 849, 2015, 10992, 856, 782, 540, 519, 8847, 540, 519, 2262, 570, 1662, 2041, 20623, 910, 12168, 359, 404, 368, 24220, 17262, 24220, 269, 1403, 972, 568, 513, 6474, 649, 849, 1331, 18986, 1682, 1299, 24185, 602, 2901, 946, 713, 2262, 610, 922, 16627, 538, 873, 610, 946, 1022, 540, 519, 1644, 1913, 538, 2296, 610, 21460, 16627, 269, 1452, 18986, 1682, 610, 24185, 666, 849, 581, 3144, 607, 513, 5339, 1383, 540, 875, 547, 946, 570, 1662, 2041, 20623, 910, 12168, 359, 404, 368, 24220, 17262, 24220, 538, 513, 4845, 269, 1403, 596, 723, 8373, 2542, 538, 21460, 649, 723, 849, 3177, 891, 10096, 538, 4936, 21460, 563, 2171, 723, 6836, 938, 1377, 1655, 547, 1683, 596, 607, 1454, 1469, 593, 875, 547, 2161, 570, 1662, 2041, 20623, 910, 12168, 359, 404, 368, 24220, 17262, 24220, 538, 2296, 607, 2009, 865, 596, 1223, 1174, 922, 2953, 21460, 547, 2296, 8144, 269, 1284, 5000, 3025, 547, 3565, 538, 4946, 811, 10096, 547, 12791, 1103, 9218, 676, 4946, 2296, 547, 21460, 16627, 267, 21460, 547, 4936, 21460, 6037, 3438, 725, 543, 21460, 547, 2296, 25927, 725, 269, 901, 786, 2087, 938, 2296, 547, 21460, 9218, 267, 21460, 547, 2296, 8675, 267, 2296, 547, 21460, 594, 10972, 1682, 8144, 543, 21460, 547, 2296, 594, 10972, 1682, 16627, 269, 4014, 649, 723, 3773, 782, 540, 519, 10096, 540, 570, 1662, 2041, 20623, 910, 12168, 359, 404, 368, 24220, 17262, 24220, 609, 25932, 1416, 855, 972, 1223, 581, 1480, 6959, 538, 519, 8144, 269, 1924, 952, 596, 7237, 1022, 1966, 538, 938, 8144, 3028, 5225, 1745, 1863, 547, 2953, 621, 693, 519, 5544, 269, 2353, 596, 723, 547, 798, 568, 547, 4945, 1934, 543, 10505, 707, 15494, 563, 21761, 18542, 5999, 630, 11902, 304, 994, 1432, 798, 596, 1611, 676, 12168, 359, 404, 368, 24220, 17262, 24220, 888, 13614, 902, 540, 12168, 359, 404, 368, 24220, 17262, 24220, 616, 522, 1372, 543, 16765, 675, 454, 1432, 338, 519, 4214, 540, 12168, 359, 404, 368, 24220, 17262, 24220, 888, 14240, 540, 519, 12168, 359, 404, 368, 24220, 17262, 24220, 616, 454, 268, 513, 11430, 878, 6648, 609, 1950, 588, 24521, 3029, 454, 268, 513, 17895, 894, 19583, 2966, 547, 29360, 519, 6547, 540, 1866, 454, 268, 19762, 560, 1537, 2575, 5129, 693, 519, 4098, 540, 606, 22968, 610, 610, 1807, 1470, 454, 268, 1945, 602, 5713, 607, 513, 18631, 2680, 610, 12857, 1018, 5205, 454, 1432, 568, 519, 28395, 540, 12168, 359, 404, 368, 24220, 17262, 24220, 888, 26239, 7716, 540, 2262, 12168, 359, 404, 368, 24220, 17262, 24220, 616, 476, 406, 363, 17262, 20254, 267, 12168, 374, 14180, 8294, 404, 355, 17262, 267, 12168, 374, 404, 366, 12022, 267, 476, 28405, 404, 369, 17262, 21333, 407, 479, 267, 476, 17262, 8294, 12168, 362, 404, 371, 8294, 24220, 17262, 407, 479, 476, 14180, 404, 372, 14534, 267, 12168, 359, 404, 368, 24220, 17262, 24220, 267, 12168, 357, 8294, 20254, 267, 12168, 351, 404, 374, 8294, 404, 366, 267, 24291, 20254, 14534, 8294, 25078, 267, 12168, 363, 14507, 404, 362, 15906, 8294, 25078, 20254, 0, 9596, 519, 2014, 540, 26275, 1805, 648, 2750, 4003, 267, 875, 547, 6023, 621, 267, 543, 1655, 2853, 585, 9319, 621, 269, 769, 713, 5850, 267, 649, 3513, 6542, 519, 2014, 540, 9041, 26161, 1805, 648, 2750, 4003, 318, 267, 875, 547, 6023, 621, 267, 543, 1655, 2853, 585, 9319, 621, 563, 26161, 1805, 648, 2750, 4003, 568, 16207, 693, 678, 29025, 538, 10084, 950, 606, 3801, 568, 1500, 547, 4558, 519, 11234, 1826, 540, 1843, 538, 606, 2878, 314, 6783, 540, 3615, 1262, 28488, 10059, 2517, 4178, 12500, 6130, 323, 2426, 2593, 10768, 6072, 268, 541, 7590, 28621, 728, 1040, 4595, 26275, 1805, 648, 2750, 4003, 568, 606, 31250, 9868, 267, 621, 3884, 1405, 6093, 547, 6023, 610, 17551, 621, 563, 1103, 713, 5850, 267, 649, 3513, 6542, 519, 2014, 540, 26275, 1805, 648, 2750, 4003, 267, 875, 547, 6023, 621, 267, 543, 1655, 2853, 585, 9319, 621, 563, 297, 6072, 25001, 606, 26275, 1805, 648, 2750, 4003, 950, 649, 2119, 547, 4558, 513, 1114, 1826, 540, 1843, 538, 606, 5044, 3079, 540, 519, 10294, 1826, 563, 1432, 568, 7046, 297, 291, 298, 286, 7046, 297, 291, 330, 610, 7046, 10084, 4886, 14173, 568, 513, 1863, 267, 1930, 21299, 5943, 540, 519, 10084, 25957, 267, 9208, 9990, 630, 528, 10084, 10323, 1916, 1103 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 300, 584, 337, 27657, 630, 5658, 9643, 543, 4922, 1634, 607, 24211, 309, 26288, 264, 568, 513, 22359, 3150, 454, 974, 7697, 6728, 1759, 538, 715, 3147, 5995, 267, 5450, 333, 10588, 269, 24211, 309, 729, 8547, 676, 18466, 3267, 2859, 19314, 763, 2262, 834, 3240, 337, 9071, 257, 24283, 689, 519, 589, 18769, 545, 476, 408, 350, 408, 359, 408, 507, 408, 359, 408, 494, 630, 332, 584, 337, 1070, 543, 12428, 27755, 14507, 630, 332, 584, 264, 404, 490, 454, 26074, 834, 4226, 614, 2668, 4706, 2012, 9411, 519, 2296, 1658, 698, 2483, 31711, 12653, 337, 269, 12653, 337, 19655, 267, 12653, 337, 12332, 267, 12653, 337, 8144, 267, 2296, 454, 323, 5315, 4214, 540, 12653, 337, 269, 562, 269, 476, 272, 269, 589, 3032, 1551, 327, 563, 7069, 337, 9071, 4214, 267, 606, 23599, 18300, 748, 608, 644, 566, 689, 1978, 2371, 540, 519, 12593, 454, 1862, 1250, 31014, 3873, 2999, 5259, 544, 383, 377, 337, 571, 9881, 359, 13019, 330, 6598, 9597, 745, 282, 28330, 547, 12355, 544, 16230, 337, 267, 12428, 9597, 337, 563, 300, 584, 571, 4214, 267, 513, 7777, 610, 6149, 1031, 538, 3504, 7507, 585, 1818, 5386, 3267, 476, 14689, 271, 454, 268, 8182, 271, 282, 2999, 5824, 9597, 337, 630, 327, 264, 513, 267, 15151, 1394, 5250, 689, 9597, 12541, 639, 9597, 9071, 710, 563, 2467, 568, 1100, 834, 23338, 9730, 257, 602, 18795, 538, 27790, 540, 1018, 834, 529, 6363, 25744, 257, 543, 1018, 454, 529, 23099, 9597, 337, 7755, 269, 12910, 10834, 20938, 538, 593, 11060, 10618, 269, 29842, 1242, 4429, 8340, 543, 1413, 1575, 519, 4214, 267, 19655, 267, 543, 1884, 11618, 540, 519, 2262, 9597, 3464, 538, 938, 454, 16451, 2228, 3267, 6733, 1575, 9597, 3464, 538, 519, 2480, 4599, 1076, 9218, 3267, 476, 272, 269, 9597, 3464, 4534, 1294, 9597, 337, 563, 22261, 476, 2767, 267, 476, 1220, 277, 3267, 968, 300, 584, 337, 2173, 320, 892, 1797, 968, 1729, 3802, 2059, 538, 519, 1216, 10478, 585, 1945, 609, 707, 454, 10623, 564, 6100, 898, 12851, 547, 519, 25538, 27332, 1893, 540, 5245, 269, 589, 13680, 4429, 20684, 12834, 281, 634, 9577, 540, 13022, 725, 689, 9956, 538, 918, 831, 12653, 337, 4429, 663, 623, 3089, 2337, 547, 5581, 519, 2725, 3563, 781, 2990, 10838, 519, 824, 3197, 563, 20225, 476, 736, 267, 476, 1001, 273, 3267, 589, 2295, 9597, 332, 584, 568, 606, 3063, 610, 8966, 3280, 4862, 1282, 513, 26470, 269, 12653, 332, 2720, 454, 9792, 689, 1360, 25861, 547, 1360, 10978, 269, 6884, 789, 3280, 899, 513, 3267, 0, 25200, 281, 27285, 20540, 281, 27286, 1607, 1449, 5161, 540, 476, 276, 2110, 2626, 2055, 543, 476, 272, 630, 1993, 476, 274, 264, 1557, 3584, 563, 14112, 8382, 5999, 454, 272, 269, 1548, 3014, 1281, 11427, 269, 15196, 548, 1616, 547, 1404, 888, 273, 269, 1548, 1281, 631, 3326, 773, 4196, 585, 12899, 888, 274, 269, 1548, 729, 519, 1118, 909, 540, 519, 1453, 888, 275, 269, 1548, 6221, 568, 717, 3796, 9849, 950, 646, 13788, 519, 2777, 888, 276, 269, 6904, 2165, 568, 711, 1031, 547, 4766, 631, 3326, 773, 888, 2237, 606, 1557, 585, 21450, 540, 519, 1739, 3584, 912, 13625, 13445, 476, 272, 454, 2691, 7128, 3605, 519, 1560, 540, 8575, 675, 523, 10370, 517, 972, 568, 1100, 1259, 547, 917, 602, 519, 1560, 1131, 581, 4448, 547, 971, 513, 5996, 565, 3176, 9661, 269, 1548, 568, 519, 3020, 3961, 540, 11427, 269, 10370, 517, 286, 4208, 568, 11427, 269, 10370, 517, 4448, 547, 3933, 802, 6202, 2494, 528, 286, 1215, 798, 519, 7128, 10625, 519, 4276, 286, 1548, 666, 581, 2944, 827, 519, 13218, 1063, 3933, 802, 6202, 2494, 528, 543, 519, 6408, 888, 13625, 13445, 476, 273, 454, 5804, 519, 4098, 267, 11427, 269, 15196, 548, 568, 12819, 543, 18473, 269, 4208, 286, 1772, 972, 606, 5817, 3483, 547, 519, 4807, 781, 2623, 286, 1403, 865, 267, 1018, 568, 621, 286, 1548, 1223, 581, 2944, 547, 1118, 11427, 269, 15196, 548, 811, 6899, 543, 13854, 609, 3933, 802, 6202, 2494, 528, 286, 1215, 1281, 631, 3326, 773, 2070, 11427, 269, 15196, 548, 286, 1548, 798, 519, 14538, 1589, 540, 11427, 269, 15196, 548, 888, 13625, 13445, 476, 274, 454, 1432, 616, 519, 4408, 540, 519, 11623, 693, 3933, 802, 6202, 2494, 528, 286, 1548, 568, 519, 3483, 540, 20803, 519, 11623, 286, 1548, 4583, 5656, 723, 8966, 4408, 286, 1772, 621, 513, 4052, 610, 2686, 3364, 547, 2012, 11623, 286, 1548, 1131, 596, 2012, 707, 1378, 4055, 693, 3933, 802, 6202, 2494, 528, 286, 11512, 563, 1607, 3296, 3568, 476, 26237, 1913, 454, 26140, 269, 476, 272, 2985, 693, 476, 4968, 1913, 829, 2985, 264, 0, 24280, 6556, 547, 15657, 912, 312, 1752, 547, 15657, 568, 519, 3020, 2132, 540, 15980, 593, 513, 6125, 950, 4371, 2394, 519, 15657, 269, 898, 568, 519, 4397, 2557, 540, 2132, 269, 634, 6556, 547, 15657, 568, 519, 5993, 1242, 2132, 593, 513, 6125, 950, 621, 568, 4371, 547, 15657, 543, 782, 19420, 517, 11033, 616, 5368, 4034, 539, 693, 519, 3160, 2557, 563, 2304, 1367, 16306, 513, 5033, 1014, 333, 783, 6378, 268, 3433, 19420, 517, 6125, 609, 1269, 272, 267, 1822, 3068, 1871, 543, 476, 1015, 1296, 547, 15657, 563, 763, 6556, 547, 15657, 630, 312, 26774, 264, 666, 581, 7229, 676, 519, 1739, 4542, 281, 0, 7987, 494, 12530, 482, 7987, 495, 17359, 7599, 29167, 607, 20036, 14854, 24011, 13530, 5198, 547, 519, 4262, 1496, 10817, 650, 1069, 334, 30781, 1446, 345, 7711, 744, 1314, 20403, 267, 6792, 2639, 268, 772, 22744, 539, 676, 7984, 9078, 333, 1676, 318, 309, 4069, 593, 8734, 476, 1626, 267, 476, 1001, 274, 454, 268, 14358, 281, 476, 6858, 454, 2304, 6909, 2407, 7599, 729, 519, 1101, 8289, 547, 26250, 519, 5215, 2390, 5215, 540, 29106, 681, 573, 2917, 16015, 602, 11058, 3481, 593, 513, 7414, 11824, 538, 519, 11204, 11662, 540, 744, 1314, 20403, 269, 634, 11824, 568, 835, 540, 476, 6344, 17822, 538, 6792, 602, 4775, 29106, 681, 573, 2917, 781, 2482, 741, 5798, 593, 267, 543, 621, 5713, 607, 606, 1271, 9960, 2666, 585, 519, 2249, 267, 799, 568, 1818, 513, 2097, 3724, 1310, 7092, 1317, 540, 936, 10122, 269, 4438, 5437, 543, 5412, 6634, 540, 4816, 16015, 616, 4535, 593, 519, 11824, 543, 530, 18150, 2509, 519, 5836, 585, 519, 1101, 942, 269, 3962, 4775, 666, 2482, 1472, 476, 1911, 5798, 829, 9742, 609, 513, 32460, 1974, 540, 1175, 513, 476, 3393, 1554, 269, 3683, 476, 736, 1296, 3516, 519, 11204, 2229, 8045, 8733, 4566, 547, 2149, 519, 4262, 16015, 267, 799, 814, 5280, 519, 2338, 540, 29106, 681, 573, 2917, 16015, 547, 2333, 267, 4352, 519, 2249, 568, 1869, 7396, 607, 13155, 676, 519, 2475, 29510, 15661, 2920, 269, 0, 13328, 28743, 1315, 5240, 30325, 454, 21026, 9705, 606, 13499, 5726, 1235, 593, 13723, 676, 3981, 532, 547, 2932, 627, 2718, 585, 3621, 1382, 267, 513, 2259, 602, 13915, 2161, 1131, 1236, 7398, 513, 2518, 7333, 593, 17962, 10122, 563, 21026, 9705, 9307, 922, 11556, 693, 513, 5870, 540, 519, 4139, 1733, 2718, 8189, 538, 24861, 4975, 269, 31379, 2161, 519, 1847, 729, 24018, 593, 3567, 781, 4367, 540, 3621, 627, 2718, 1310, 513, 476, 2735, 277, 2849, 1807, 1756, 593, 5010, 627, 2718, 563, 297, 3253, 13187, 621, 814, 513, 1318, 547, 6895, 519, 16385, 262, 1764, 593, 922, 10068, 2872, 563, 257, 21026, 9705, 9307, 922, 9837, 547, 16056, 17962, 10122, 585, 3621, 5301, 2437, 1767, 570, 5557, 15050, 807, 267, 24861, 781, 11347, 547, 519, 3486, 1560, 563, 20442, 616, 14126, 827, 713, 11556, 1317, 621, 4422, 1996, 519, 7333, 3267, 649, 1810, 1405, 1489, 17962, 10122, 896, 1022, 6381, 2437, 15050, 807, 1767, 563, 21026, 9705, 1767, 922, 29940, 941, 5360, 8724, 602, 3395, 17962, 5095, 941, 15723, 1154, 10068, 13632, 267, 606, 25195, 602, 519, 2622, 13812, 8750, 1767, 1185, 1100, 3621, 4493, 563, 20245, 15628, 2161, 519, 2165, 3621, 627, 2718, 568, 513, 6094, 569, 1654, 6150, 678, 2224, 547, 1450, 10122, 538, 2477, 1141, 17962, 5779, 568, 513, 2442, 29535, 2329, 269, 3162, 9705, 23619, 17962, 5779, 689, 2831, 18417, 9575, 538, 10068, 24437, 563, 24679, 781, 606, 6207, 8710, 713, 5949, 693, 713, 5870, 543, 621, 781, 606, 6207, 771, 6588, 576, 1317, 547, 2161, 602, 10122, 16385, 568, 8345, 538, 519, 2012, 540, 2257, 568, 1175, 4636, 269, 26243, 267, 922, 5010, 627, 2718, 538, 1776, 1106, 2437, 6276, 22784, 333, 345, 689, 5682, 701, 864, 5143, 8241, 8613, 563, 299, 648, 333, 345, 1767, 3162, 9705, 1590, 1491, 922, 11556, 547, 519, 1733, 2718, 8189, 781, 2257, 12233, 563, 763, 1295, 651, 16385, 602, 3162, 9705, 23083, 10122, 616, 2808, 13155, 267, 519, 2622, 13812, 8750, 1767, 538, 513, 3948, 563, 293, 864, 1504, 786, 9029, 513, 4266, 7834, 15194, 538, 19934, 602, 4229, 519, 1514, 2923, 9649, 547, 3247, 10655, 3059, 1344, 827, 1004, 945, 616, 1875, 2173, 20047, 454, 30153, 267, 4457, 267, 9721, 3744, 3094, 476, 1001, 276, 17587, 16101, 538, 4915, 585, 13663, 543, 21313, 1382, 454, 291, 18752, 1223, 723, 2101, 6286, 585, 13287, 540, 1272, 593, 519, 2699, 4541, 454, 299, 9155, 3726, 24259, 1769, 593, 1100, 1093, 2286, 3609, 693, 28541, 9503, 779, 7887, 3549, 454, 306, 792, 2583, 585, 593, 5765, 15420, 786, 4159, 1344, 971, 607, 7851, 267, 23004, 267, 23106, 543, 23982, 5528, 454, 6124, 3028, 30792, 607, 5619, 9060, 4892, 2348, 2182, 942, 10188, 16335, 28972, 454, 307, 24642, 3250, 267, 966, 617, 2378, 821, 543, 589, 557, 320, 19915, 2698, 540, 936, 24843, 272, 269, 1691, 5479, 585, 519, 1318, 547, 946, 12451, 593, 519, 1007, 3060, 454, 30821, 819, 1412, 15884, 1459, 693, 2547, 1079, 8101, 2055, 7282, 1374, 1790, 520, 550, 15668, 543, 14796, 7055, 763, 594, 30955, 11272, 570, 1090, 543, 20658, 6773, 7577, 4566, 547, 10131, 835, 3859, 14617, 1668, 593, 13628, 543, 1896, 811, 538, 519, 4947, 2395, 454, 305, 5699, 476, 3583, 2929, 19726, 540, 26939, 616, 21775, 11451, 829, 1032, 267, 855, 5176, 1079, 555, 8674, 616, 1500, 689, 1875, 3146, 2908, 762, 2472, 899, 19386, 543, 2067, 3154, 563, 12867, 688, 341, 10623, 1767, 602, 519, 16950, 3762, 1239, 6740, 676, 8924, 7925, 609, 3592, 1169, 7121, 540, 813, 2808, 7925, 454, 22129, 311, 7000, 11728, 602, 621, 568, 2679, 513, 1449, 3950, 585, 519, 15214, 31467, 267, 513, 1523, 585, 16600, 1922, 770, 2666, 3560, 519, 2754, 779, 16628, 267, 4432, 517, 30073, 267, 30792, 563, 18693, 5505, 723, 2813, 9269, 24201, 609, 21300, 6438, 8188, 676, 512, 1074, 1359, 609, 519, 6675, 602, 1628, 519, 5017, 262, 581, 6545, 563, 29410, 2139, 585, 840, 19195, 538, 8370, 2477, 855, 3457, 4465, 1406, 6928, 585, 4374, 563, 301, 984, 601, 15356, 20421, 3744, 262, 6602, 666, 581, 14475, 14949, 7064, 547, 15089, 690, 571, 25206, 1184, 563, 7197, 2872, 4966, 2503, 519, 1101, 1587, 540, 476, 276, 294, 2029, 538, 519, 2196, 5346, 547, 519, 19519, 21396, 538, 476, 1708, 271, 269, 0, 294, 26041, 313, 623, 12788, 298, 269, 717, 727, 345, 30078, 568, 2185, 5195, 22236, 540, 519, 10167, 540, 772, 2529, 269, 28565, 476, 23310, 543, 476, 3199, 543, 3955, 8063, 23681, 476, 1015, 267, 538, 7187, 11518, 16026, 6019, 630, 520, 476, 4029, 4113, 6349, 262, 715, 267, 476, 10441, 4113, 6860, 262, 654, 1040, 634, 8445, 267, 609, 606, 15038, 540, 476, 277, 267, 17168, 3952, 1657, 4262, 1377, 267, 14380, 476, 273, 267, 4968, 3952, 1657, 519, 14099, 693, 519, 1234, 324, 1407, 10315, 1899, 267, 2185, 5195, 5045, 269, 634, 13719, 267, 588, 3415, 11934, 593, 519, 8445, 1489, 19958, 535, 597, 267, 607, 5155, 267, 14151, 2166, 12304, 267, 25308, 267, 31739, 6242, 12566, 267, 543, 544, 7310, 821, 563, 763, 1739, 267, 9862, 689, 519, 9628, 15015, 540, 13910, 267, 476, 1428, 628, 7160, 267, 568, 519, 9053, 11239, 585, 713, 2376, 1701, 294, 26041, 313, 623, 12788, 298, 2437, 18361, 540, 7147, 6732, 630, 10674, 2517, 4178, 269, 1206, 3873, 26020, 3820, 270, 8518, 1504, 270, 26020, 270, 14895, 29265, 329, 326, 1015, 1070, 15600, 5437, 476, 2918, 267, 476, 1001, 276, 269, 772, 22744, 539, 593, 4873, 476, 1428, 267, 476, 1001, 271, 269, 15618, 676, 519, 7147, 3557, 8466, 5948, 563, 7476, 7147, 1686, 4948, 2676, 5976, 1554, 676, 1554, 454, 10376, 1554 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1297, 476, 4335, 267, 25396, 2496, 763, 19005, 6041, 540, 1297, 476, 4335, 267, 25396, 568, 667, 7374, 18958, 311, 780, 2971, 14066, 2338, 547, 19005, 2338, 692, 274, 267, 15886, 568, 519, 4102, 1297, 596, 666, 2328, 538, 4936, 27766, 269, 1703, 568, 513, 7036, 322, 542, 602, 596, 666, 2099, 2338, 3677, 982, 476, 274, 267, 15886, 538, 4936, 27766, 1210, 606, 936, 1467, 269, 631, 622, 3901, 1227, 6340, 267, 713, 1797, 1797, 596, 616, 14921, 602, 4936, 1003, 1968, 676, 476, 272, 267, 1822, 269, 1280, 1383, 952, 596, 1131, 899, 547, 2328, 476, 3583, 267, 1822, 538, 4936, 27766, 596, 1131, 946, 519, 4936, 1003, 1968, 700, 18958, 269, 901, 7575, 519, 3970, 547, 2328, 19005, 27766, 547, 476, 274, 267, 15886, 267, 15886, 780, 258, 7726, 1215, 1082, 9704, 616, 538, 519, 1297, 476, 4335, 267, 25396, 2496, 763, 1297, 476, 4335, 267, 25396, 814, 476, 277, 9704, 780, 2971, 1215, 547, 1205, 519, 7003, 724, 339, 540, 519, 1297, 476, 4335, 267, 25396, 692, 2414, 1265, 856, 519, 7003, 724, 339, 540, 476, 4335, 267, 25396, 649, 3274, 1293, 519, 9704, 3330, 621, 780, 258, 7726, 1548, 568, 519, 2040, 540, 782, 9704, 540, 519, 1297, 476, 4335, 267, 25396, 2496, 763, 2040, 540, 782, 9704, 540, 1297, 476, 4335, 267, 25396, 568, 476, 1321, 780, 2971, 1215, 547, 5173, 519, 2040, 540, 782, 9704, 540, 1297, 476, 4335, 267, 25396, 692, 2414, 5173, 519, 2040, 540, 782, 9704, 540, 1297, 476, 4335, 267, 25396, 596, 786, 723, 547, 2040, 873, 782, 899, 2887, 3298, 1384, 258, 7726, 1548, 568, 519, 19474, 540, 1297, 476, 4335, 267, 25396, 2496, 2467, 568, 711, 835, 267, 855, 1082, 19474, 1599, 269, 930, 540, 519, 1034, 2442, 616, 544, 323, 276, 543, 695, 320, 268, 272, 692, 2971, 3371, 616, 930, 540, 519, 1034, 1455, 6939, 4919, 814, 1127, 585, 519, 1297, 476, 4335, 267, 25396, 692, 290, 2815, 4919, 1599, 25300, 585, 1297, 476, 4335, 267, 25396, 454, 30113, 276, 536, 323, 279, 324, 3422, 4649, 322, 6277, 10602, 4206, 273, 27219, 28638, 274, 321, 276, 6507, 4343, 277, 277, 325, 454, 3333, 320, 272, 524, 5392, 325, 15094, 20862, 1704, 320, 271, 321, 271, 325, 6767, 275, 9536, 279, 323, 6924, 17304, 277, 325, 4962, 1815, 279, 4792, 2767, 324, 454, 3333, 320, 16348, 476, 1691, 323, 29496, 271, 322, 278, 320, 277, 4200, 278, 323, 3374, 323, 3393, 323, 276, 321, 277, 9536, 323, 659, 325, 322, 5325, 274, 322, 275, 5038, 323, 5952, 280, 275, 2465, 279, 3451, 6321, 272, 30663, 322, 10695, 7251, 2190, 539, 321, 454, 3333, 320, 24423, 513, 278, 320, 9264, 4200, 277, 11463, 325, 323, 277, 320, 276, 321, 279, 539, 322, 275, 320, 274, 325, 321, 659, 10695, 22396, 866, 324, 2568, 323, 277, 321, 6507, 272, 324, 5952, 278, 6434, 321, 271, 322, 276, 323, 273, 22396, 8578, 324, 280, 320, 275, 324, 5325, 274, 325, 280, 320, 866, 320, 6246, 321, 280, 3066, 274, 7251, 321, 1321, 325, 2004, 280, 325, 275, 9536, 7251, 277, 322, 7918, 8578, 8517, 14341, 324, 274, 325, 278, 6858, 276, 764, 322, 25171, 325, 321, 28766, 20969, 692, 258, 7726, 1215, 547, 2328, 1297, 476, 4335, 267, 25396, 538, 2296, 1257, 2496, 1103, 2296, 519, 1297, 476, 4335, 267, 25396, 568, 1060, 539, 607, 2947, 4627, 8536, 267, 2185, 4627, 13977, 780, 2971, 1215, 547, 2328, 2338, 538, 1913, 692, 4407, 1603, 2110, 2338, 1210, 1913, 2306, 707, 1603, 1413, 2973, 267, 1603, 3476, 2338, 607, 1913, 3884, 1405, 607, 3730, 269, 2201, 519, 824, 1688, 1603, 2462, 2338, 621, 781, 513, 1434, 2259, 1247, 596, 2811, 1565, 780, 2080, 616, 930, 2241, 4388, 827, 950, 547, 530, 2431, 2338, 1210, 5022, 780, 10606, 1447, 982, 4557, 1058, 2141, 581, 2854, 538, 1257, 269, 2201, 519, 824, 1688, 2338, 602, 616, 1447, 1287, 476, 1911, 543, 2789, 540, 476, 1015, 267, 1058, 849, 581, 2854, 1210, 5022, 711, 2338, 269, 7151, 281, 7089, 476, 4335, 267, 25396, 1058, 10691, 581, 1060, 539, 607, 2947, 4627, 8536, 267, 2185, 4627, 13977, 267, 538, 513, 4845, 8262, 2338, 1058, 581, 2854, 607, 519, 1003, 1968, 4553, 676, 519, 2262, 5215, 267, 2929, 267, 17542, 267, 959, 650, 687, 267, 3092, 269, 1403, 519, 1297, 568, 602, 2462, 621, 1522, 581, 513, 1434, 2856, 547, 5180, 909, 930, 9704, 865, 602, 707, 31115, 1121, 20047, 621, 269, 7151, 281, 7089, 476, 4335, 267, 25396, 1223, 849, 581, 1060, 539, 607, 476, 4335, 269, 275, 5215, 267, 538, 513, 4845, 267, 2094, 621, 568, 2808, 547, 581, 513, 2462, 1297, 692, 2971, 1548, 2338, 616, 1354, 543, 1310, 476, 4335, 267, 25396, 692, 28095, 1297, 568, 281, 476, 4335, 267, 275, 3066, 692, 9202, 1297, 568, 281, 476, 4335, 267, 32542, 0, 25413, 2264, 4886, 267, 5071, 932, 7860, 267, 4147, 5071, 267, 1234, 15479, 542, 543, 594, 614, 566, 267, 13281, 267, 543, 16710, 11060, 14803, 3701, 476, 1001, 272, 268, 1001, 273, 589, 13787, 21103, 4252, 610, 5292, 28380, 29896, 692, 258, 9978, 10298, 281, 1234, 15479, 542, 543, 594, 614, 566, 692, 1012, 17564, 281, 10046, 540, 513, 17266, 10794, 540, 13787, 21103, 4252, 610, 5292, 28380, 692, 4407, 3877, 540, 513, 3014, 949, 581, 17411, 538, 1082, 2081, 267, 621, 568, 2067, 547, 946, 519, 2095, 540, 513, 3014, 547, 2497, 519, 3009, 269, 22695, 1681, 3355, 1436, 267, 972, 616, 1079, 2596, 4485, 1384, 1892, 10794, 10046, 476, 272, 281, 1160, 3865, 4196, 676, 4196, 2394, 2576, 17993, 692, 3499, 11434, 31160, 454, 604, 7746, 17993, 2019, 2917, 454, 16557, 513, 1448, 454, 604, 7746, 17993, 3014, 454, 516, 1636, 16771, 454, 12828, 454, 338, 877, 7746, 5713, 1586, 454, 12828, 454, 1278, 2319, 476, 5713, 454, 8199, 1892, 10794, 10046, 476, 273, 281, 10794, 23131, 609, 519, 5311, 589, 5713, 267, 1287, 645, 5713, 692, 3499, 11434, 15566, 2394, 2576, 17993, 454, 288, 269, 476, 589, 5713, 2394, 589, 17993, 3014, 610, 19380, 4196, 454, 289, 269, 476, 1403, 589, 814, 711, 4465, 454, 289, 5713, 2394, 645, 12798, 3014, 610, 19380, 4196, 454, 7884, 2162, 10318, 1456, 6904, 12243, 654, 1231, 513, 5292, 2917, 692, 1103, 3001, 689, 1164, 7400, 1374, 547, 606, 6388, 267, 606, 1271, 7156, 3322, 875, 547, 960, 609, 17831, 269, 12736, 940, 513, 4196, 5673, 2390, 519, 5506, 585, 602, 2319, 269, 14597, 2625, 288, 310, 514, 543, 2625, 289, 310, 514, 616, 519, 17831, 602, 589, 543, 645, 267, 6606, 267, 3094, 513, 2019, 2917, 269, 1280, 1169, 2019, 2917, 267, 2901, 589, 610, 645, 786, 3094, 267, 865, 2625, 288, 310, 514, 1109, 266, 1109, 22238, 289, 310, 514, 1109, 284, 1109, 272, 269, 271, 269, 1677, 18082, 10888, 513, 2019, 2917, 267, 649, 666, 946, 519, 1599, 4351, 3890, 602, 7024, 2338, 1063, 476, 271, 269, 271, 543, 476, 272, 269, 271, 609, 5111, 3160, 5506, 269, 769, 1880, 267, 519, 1449, 4351, 3890, 1109, 283, 1109, 22238, 288, 310, 514, 786, 581, 3020, 519, 6824, 540, 942, 9138, 676, 2625, 288, 310, 514, 780, 2162, 10794, 10046, 476, 272, 281, 31160, 8386, 4149, 2925, 14409, 692, 1103, 10794, 10046, 476, 272, 267, 4393, 23131, 4196, 676, 4196, 2394, 835, 2319, 17993, 269, 10738, 513, 1982, 267, 519, 2095, 689, 835, 4196, 547, 519, 1985, 949, 581, 2944, 538, 2901, 540, 1079, 1292, 2081, 281, 16571, 542, 610, 21767, 780, 2971, 31160, 3562, 4149, 2925, 10046, 998, 1234, 15479, 542, 692, 2691, 7598, 713, 1935, 16571, 1947, 267, 649, 8415, 6724, 585, 519, 8464, 543, 17831, 543, 1289, 519, 1505, 609, 519, 2953, 2418, 269, 1879, 7598, 713, 1935, 12055, 8271, 267, 649, 991, 5094, 4632, 585, 519, 7746, 543, 17513, 267, 519, 2418, 991, 547, 581, 2220, 11474, 950, 519, 4196, 2242, 267, 543, 606, 9018, 8520, 6920, 602, 519, 2019, 18436, 3136, 2394, 519, 3014, 568, 4465, 780, 763, 25276, 568, 3226, 2241, 543, 16022, 2687, 547, 519, 7291, 269, 769, 519, 25276, 1935, 267, 3355, 1436, 540, 8464, 543, 7746, 568, 12913, 538, 519, 3355, 1289, 1384, 3499, 825, 1404, 29128, 310, 514, 9497, 288, 2580, 834, 289, 2580, 2625, 310, 514, 14157, 2917, 267, 476, 271, 267, 476, 271, 994, 7884, 763, 25276, 1505, 585, 10794, 13979, 476, 272, 5205, 1384, 3499, 825, 1315, 12533, 265, 7591, 835, 3014, 540, 8322, 21103, 4252, 610, 2019, 28380, 547, 3932, 454, 265, 7711, 1706, 916, 476, 7746, 543, 17513, 5815, 519, 2319, 834, 288, 257, 610, 834, 289, 4840, 265, 1363, 2625, 310, 514, 14157, 2917, 23403, 519, 10171, 519, 454, 265, 17264, 7746, 17993, 513, 2019, 2917, 454, 265, 1363, 7746, 30360, 267, 973, 30360, 2270, 1699, 6060, 540, 454, 265, 7711, 4958, 5281, 16771, 540, 3014, 281, 2901, 834, 288, 257, 610, 834, 289, 4840, 265, 13045, 21504, 21642, 1404, 29128, 310, 514, 630, 21803, 7746, 267, 21642, 17513, 2676, 29602, 2625, 310, 514, 14157, 2917, 2676, 842, 7746, 30360, 267, 703, 973, 30360, 994, 346, 567, 12262, 4196, 454, 604, 630, 13043, 20179, 3890, 2999, 2625, 310, 514, 14157, 2917, 994, 346, 567, 12262, 6060, 1448, 454, 338, 13996, 30360, 10030, 3248, 2260, 952, 3094, 267, 2132, 16771, 454, 604, 16733, 338, 13996, 30360, 13843, 476, 1428, 994, 261, 261, 16733, 256, 3094, 3528, 10521, 994, 1475, 630, 338, 13996, 30360, 13843, 973, 30360, 1341, 476, 273, 21875, 8873, 7746, 3248, 2260, 952, 711, 3094, 267, 4196, 1586, 454, 12828, 454, 338, 13996, 30360, 267, 973, 30360, 11850, 8679, 12828, 454, 346, 476, 12262, 824, 2427, 17993, 282, 824, 6345, 5713, 454, 13440, 30360, 267, 7746, 30360, 11850, 8679, 8679, 7884, 1103, 713, 25276, 1935, 267, 1505, 1404, 29128, 310, 514, 17648, 519, 7746, 267, 17513, 267, 17831, 267, 543, 8464, 616, 3964, 1354, 513, 4196, 568, 547, 1491, 1747, 267, 543, 519, 1505, 568, 3743, 585, 7829, 519, 3877, 540, 513, 2582, 4196, 780, 25284, 10794, 272, 13434, 584, 12459, 6072, 2488, 519, 2407, 3009, 585, 513, 11191, 1210, 10794, 10046, 476, 272, 609, 16571, 542, 780, 2971, 31160, 3562, 4149, 2925, 10046, 998, 594, 614, 566, 692, 2691, 4393, 3096, 27952, 547, 8399, 689, 4196, 547, 4196, 267, 5094, 4632, 616, 2877, 547, 1832, 3950, 540, 945, 519, 7746, 568, 543, 1018, 2798, 543, 17831, 616, 2404, 609, 1142, 2319, 780, 2691, 1210, 17787, 267, 621, 568, 5363, 547, 2697, 513, 8520, 23223, 656, 602, 6257, 519, 1533, 540, 1142, 4756, 1175, 1354, 513, 4196, 3217, 1747, 1384, 3499, 567, 7746, 30360, 8587, 12262, 4756, 6920, 519, 1699, 6060, 585, 519, 7746, 454, 516, 576, 1853, 30360, 825, 12262, 4756, 6920, 519, 1699, 6060, 8391, 2319, 454, 338, 13996, 19930, 12262, 519, 2319, 4867, 7674, 9497, 288, 257, 610, 834, 289, 5602, 516, 576, 1853, 1363, 12262, 519, 2319, 8391, 519, 4196, 9497, 289, 257, 610, 834, 288, 5602, 22238, 310, 514, 14157, 2917, 825, 12262, 5506, 602, 519, 7746, 786, 3094, 513, 2019, 2917, 454, 7884, 763, 3355, 5506, 585, 12243, 589, 568, 9138, 538, 519, 1505, 781, 6724, 269, 19227, 267, 3355, 1436, 1369, 1404, 29128, 310, 514, 20964, 519, 8520, 23223, 1218, 585, 519, 1101, 942, 519, 8520, 568, 4291, 583, 1042, 780, 3499, 476, 12262, 476, 1376, 693, 476, 271, 268, 271, 454, 842, 7746, 30360, 815, 476, 271, 282, 672, 12262, 519, 1699, 6060, 585, 519, 7746, 454, 842, 17513, 30360, 815, 476, 271, 282, 567, 12262, 519, 1699, 6060, 585, 519, 2319, 8391, 519, 4196, 454, 21803, 7746, 815, 834, 288, 21968, 672, 12262, 834, 288, 257, 2141, 5713, 1101, 538, 519, 11191, 454, 7884, 3682, 22422, 538, 519, 1292, 8520, 12116, 519, 2164, 540, 519, 4196, 547, 3313, 952, 519, 7746, 8464, 513, 1448, 610, 952, 519, 4196, 2242, 269, 634, 1292, 960, 540, 519, 8520, 267, 1287, 267, 568, 547, 9337, 4632, 267, 865, 602, 519, 1657, 8520, 23223, 1218, 616, 9738, 585, 950, 519, 8520, 6238, 519, 1985, 942, 269, 769, 519, 1184, 267, 513, 10917, 4756, 949, 581, 2877, 607, 2418, 616, 2220, 11474, 269, 634, 8520, 2165, 7149, 950, 835, 2319, 17993, 780, 24927, 585, 513, 2407, 27952, 11191, 540, 513, 3014, 5205, 1384, 3499, 825, 1315, 12533, 265, 7591, 835, 3014, 540, 8322, 21103, 4252, 610, 2019, 28380, 547, 3932, 454, 265, 7711, 1706, 916, 476, 2625, 310, 514, 14157, 2917, 23403, 519, 10171, 519, 454 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 543, 5790, 269, 18833, 1141, 621, 22856, 267, 875, 1454, 621, 22856, 543, 519, 1915, 540, 519, 9991, 4764, 267, 6777, 610, 30339, 2636, 3744, 547, 1732, 1174, 13247, 779, 1764, 593, 12535, 267, 8933, 267, 2627, 20359, 543, 15780, 14371, 895, 4248, 1557, 0, 25215, 1180, 547, 2185, 540, 5216, 282, 835, 689, 1142, 1433, 269, 5457, 547, 946, 1808, 267, 6405, 2963, 689, 519, 2835, 547, 1489, 707, 4267, 269, 1452, 1058, 1491, 693, 2547, 513, 5037, 547, 2626, 18481, 269, 1548, 616, 519, 2081, 713, 18903, 30527, 32514, 919, 513, 5168, 610, 7710, 606, 2856, 888, 11742, 2782, 1676, 29530, 4985, 2443, 9502, 540, 29530, 29530, 267, 799, 568, 6719, 676, 519, 5259, 3090, 267, 568, 849, 20922, 607, 519, 29530, 3213, 324, 2310, 543, 568, 4857, 607, 519, 9386, 540, 519, 5276, 9695, 540, 519, 14769, 538, 799, 1369, 513, 1808, 1974, 610, 1448, 6039, 607, 25162, 563, 7197, 7018, 1282, 1250, 6689, 2395, 269, 2290, 540, 891, 5949, 950, 594, 729, 476, 279, 269, 4438, 713, 2085, 594, 991, 547, 798, 930, 2507, 7033, 539, 268, 3725, 3161, 6925, 634, 946, 540, 4915, 814, 2097, 513, 1279, 1259, 2094, 519, 942, 540, 519, 3284, 6139, 322, 776, 2443, 519, 3504, 1625, 3272, 832, 540, 5061, 543, 824, 3029, 540, 6646, 563, 1103, 519, 2025, 2395, 519, 7041, 540, 5061, 568, 3908, 547, 519, 4274, 10868, 540, 7135, 1336, 538, 2371, 269, 4841, 786, 946, 3621, 3157, 281, 4653, 782, 649, 723, 547, 798, 568, 16212, 593, 513, 2780, 267, 543, 519, 1158, 2501, 547, 721, 538, 513, 2339, 540, 7643, 563, 20755, 17165, 4016, 547, 3608, 9637, 540, 942, 607, 4199, 547, 3035, 5551, 1267, 1369, 9138, 1974, 540, 942, 269, 898, 814, 4922, 1044, 3765, 8410, 18727, 269, 901, 2591, 922, 4398, 543, 7145, 269, 1323, 2799, 2069, 10512, 3278, 519, 10083, 540, 4626, 17165, 543, 4061, 10597, 7607, 543, 922, 8797, 13345, 2507, 563, 3963, 5384, 13488, 568, 711, 21537, 2135, 673, 2687, 547, 6424, 11066, 634, 22516, 19433, 568, 835, 540, 519, 1034, 1134, 1634, 1806, 540, 513, 19433, 2404, 609, 942, 2951, 269, 4675, 3151, 602, 513, 1268, 267, 2161, 8361, 267, 6499, 547, 6146, 1010, 22516, 267, 543, 8361, 6499, 547, 2951, 1394, 538, 942, 547, 798, 865, 563, 2252, 8361, 1281, 8011, 538, 11318, 1010, 22516, 693, 513, 942, 950, 519, 22516, 814, 2507, 1715, 3840, 8648, 642, 563, 306, 29229, 4985, 9442, 4016, 547, 519, 5385, 540, 2093, 610, 1344, 1063, 1079, 610, 811, 1004, 269, 6176, 735, 4680, 540, 5639, 552, 269, 4014, 519, 2010, 540, 1344, 616, 1869, 519, 1482, 267, 741, 2956, 2141, 4991, 6793, 5555, 563, 22033, 568, 519, 2507, 1715, 3840, 8648, 634, 11356, 5713, 607, 519, 1101, 8908, 540, 1686, 543, 568, 519, 1034, 1271, 2707, 540, 3119, 6054, 538, 799, 12206, 946, 538, 1931, 547, 1732, 15378, 4010, 1018, 941, 519, 4145, 543, 18144, 540, 513, 1808, 2085, 563, 1103, 25567, 320, 729, 14120, 513, 1007, 2540, 4352, 972, 729, 2370, 547, 8661, 269, 634, 4425, 541, 2782, 2507, 7844, 14351, 3194, 585, 519, 5384, 8862, 541, 1676, 7577, 5839, 549, 11296, 5623, 9861, 835, 540, 519, 16595, 19550, 543, 5207, 3491, 12803, 6080, 538, 519, 1158, 267, 519, 2923, 5823, 814, 1044, 538, 513, 627, 20071, 13388, 540, 1689, 713, 2250, 8717, 563, 2467, 814, 1044, 606, 23292, 22820, 543, 11861, 543, 267, 540, 3735, 267, 22820, 1586, 267, 540, 4950, 2029, 269, 901, 814, 13497, 6766, 2923, 6765, 563, 5141, 2086, 23957, 593, 695, 8014, 8051, 2853, 267, 7221, 4657, 2507, 7338, 16962, 281, 3571, 3068, 568, 593, 938, 9304, 269, 3571, 3239, 267, 5641, 538, 6149, 267, 6763, 1851, 519, 1034, 11537, 543, 1271, 5515, 540, 519, 4182, 269, 4595, 922, 2442, 1436, 538, 519, 7260, 267, 1082, 723, 7550, 519, 4480, 269, 1715, 8906, 616, 1500, 4948, 543, 1018, 729, 2899, 2808, 519, 7543, 666, 5555, 1831, 606, 3964, 1249, 563, 2690, 1383, 267, 7366, 540, 1296, 3516, 267, 621, 729, 1767, 602, 3425, 1131, 2760, 8038, 267, 2943, 711, 1152, 729, 8184, 2919, 267, 855, 849, 2230, 2951, 269, 769, 519, 2796, 540, 2698, 2242, 538, 519, 3919, 971, 607, 11558, 543, 5610, 1063, 519, 1114, 13623, 543, 519, 2566, 2016, 547, 1007, 2029, 971, 607, 19180, 267, 713, 2376, 6212, 593, 519, 3801, 16634, 15037, 476, 2918, 267, 5788, 14936, 267, 519, 12837, 344, 3068, 282, 621, 729, 513, 2101, 3090, 1031, 538, 519, 3209, 543, 6719, 1082, 1919, 267, 585, 1383, 519, 635, 539, 1014, 543, 875, 646, 2219, 3388, 729, 24983, 267, 543, 621, 849, 1644, 547, 519, 6249, 540, 3138, 3151, 26454, 267, 1100, 835, 568, 2731, 17608, 267, 855, 649, 2322, 513, 12837, 593, 938, 3068, 4586, 10403, 4828, 281, 654, 10248, 519, 13772, 5443, 2755, 2542, 13772, 5443, 609, 519, 3483, 540, 21849, 2079, 267, 972, 616, 1082, 1114, 1919, 547, 2015, 269, 899, 519, 12837, 344, 3068, 609, 513, 12962, 540, 1973, 593, 621, 269, 901, 3239, 568, 8385, 5189, 593, 519, 1101, 2985, 540, 519, 2898, 3209, 855, 568, 849, 513, 556, 24593, 2590, 3239, 563, 15228, 2513, 338, 971, 607, 23234, 267, 519, 12837, 344, 8930, 269, 2506, 334, 10202, 11146, 634, 2506, 334, 10202, 3911, 13704, 1299, 2506, 334, 10202, 2506, 334, 10202, 25529, 619, 2506, 334, 10202, 674, 2167, 3911, 850, 3068, 3911, 13704, 781, 10753, 2292, 570, 17480, 3683, 331, 904, 1280, 2072, 5851, 540, 519, 1152, 1747, 538, 519, 1158, 1141, 1547, 589, 1434, 1383, 540, 6404, 4664, 1131, 581, 4466, 513, 4627, 13362, 3915, 562, 9229, 547, 707, 12483, 563, 291, 3195, 518, 12837, 344, 3068, 25767, 27189, 9523, 27189, 538, 513, 5048, 267, 2671, 593, 513, 15415, 610, 5299, 543, 13594, 538, 707, 8292, 269, 9045, 790, 1557, 1806, 593, 1514, 2923, 12726, 540, 9045, 597, 673, 4317, 9012, 4828, 666, 581, 3730, 950, 596, 991, 547, 2328, 513, 30237, 673, 2923, 269, 1849, 4169, 543, 3911, 13704, 8131, 4828, 563, 4002, 519, 4395, 3382, 540, 519, 8642, 3209, 13772, 5443, 267, 972, 568, 513, 5835, 12837, 344, 3068, 3983, 613, 609, 1973, 838, 2660, 593, 621, 910, 1849, 4169, 543, 3911, 13704, 8131, 4828, 4367, 269, 769, 713, 8642, 3209, 267, 519, 3983, 613, 12851, 547, 519, 1915, 267, 3798, 23135, 29965, 945, 849, 4422, 676, 519, 2012, 1290, 539, 1014, 563, 763, 22516, 19433, 568, 835, 540, 519, 1034, 1134, 1634, 1806, 540, 513, 19433, 2404, 609, 942, 2951, 269, 4675, 3151, 602, 513, 1268, 267, 2161, 8361, 267, 6499, 547, 6146, 1010, 22516, 267, 543, 8361, 6499, 547, 1547 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 306, 21788, 4753, 281, 966, 766, 267, 26290, 2940, 269, 968, 13528, 3121, 545, 5678, 543, 15552, 545, 2782, 11071, 1848, 769, 7335, 519, 968, 306, 784, 540, 17029, 663, 2223, 6032, 269, 476, 2641, 268, 4343, 269, 1621, 548, 6229, 1849, 14554, 267, 27359, 281, 623, 1370, 823, 6953, 718, 267, 5549, 1421, 476, 3192, 271, 563, 314, 1103, 519, 1739, 21626, 267, 966, 766, 6941, 875, 519, 2278, 540, 634, 14576, 540, 17029, 663, 3096, 2757, 11913, 12596, 1247, 5883, 547, 6655, 32475, 543, 7493, 687, 538, 519, 6648, 24358, 763, 12377, 540, 519, 10228, 4528, 540, 519, 14576, 540, 17029, 663, 729, 3812, 676, 606, 17454, 9539, 768, 534, 1085, 11171, 28069, 1282, 519, 3791, 10116, 540, 519, 1000, 27097, 2540, 269, 4706, 1893, 568, 10416, 519, 13172, 9275, 538, 4789, 513, 2540, 1310, 519, 22374, 21037, 630, 11793, 277, 5148, 272, 855, 519, 4890, 6648, 593, 799, 519, 10228, 12377, 568, 1759, 2392, 919, 713, 12377, 676, 693, 2547, 513, 3368, 2540, 267, 543, 649, 3112, 581, 1978, 2436, 519, 10564, 5030, 538, 4789, 610, 593, 519, 11782, 563, 288, 5467, 945, 814, 1256, 513, 1085, 656, 1702, 540, 3943, 786, 5431, 1310, 5618, 4598, 547, 519, 14576, 540, 17029, 663, 602, 922, 19621, 18986, 558, 12346, 593, 1940, 762, 13421, 540, 1913, 267, 799, 649, 11737, 337, 3320, 1289, 968, 845, 10358, 1848, 2353, 561, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 19739, 24209, 1299, 27483, 302, 10292, 24209, 1315, 8836, 1299, 13636, 1315, 3864, 9576, 1399, 4437, 13132, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 938, 5767, 7045, 998, 519, 1158, 540, 7194, 543, 5638, 256, 901, 942, 267, 649, 2811, 11362, 883, 1945, 1572, 834, 301, 3139, 9980, 640, 23779, 2437, 610, 715, 2207, 585, 2110, 269, 1411, 1522, 581, 11842, 1018, 602, 1256, 1797, 1107, 1810, 1405, 5855, 267, 594, 6415, 1934, 547, 2491, 3388, 2439, 5331, 596, 4312, 3893, 513, 2462, 10153, 262, 1433, 4904, 609, 4241, 5013, 827, 1114, 2477, 782, 936, 519, 8608, 269, 3962, 7127, 814, 3877, 827, 922, 2551, 267, 3854, 2749, 267, 4583, 21056, 267, 543, 6148, 930, 1187, 31851, 1932, 269, 3767, 1577, 781, 2161, 596, 1616, 547, 1711, 606, 15813, 620, 2006, 659, 1210, 1152, 519, 2197, 4408, 543, 741, 5095, 269, 1215, 1131, 596, 979, 827, 3257, 602, 286, 29836, 498, 692, 11039, 267, 835, 1259, 1131, 581, 547, 16924, 3406, 998, 1169, 2582, 1899, 540, 1257, 267, 3168, 585, 1022, 23456, 602, 1522, 5815, 513, 2197, 2012, 269, 2334, 4992, 7168, 9688, 532, 1498, 267, 1318, 286, 1656, 952, 707, 1433, 729, 2731, 1279, 267, 621, 1223, 1491, 6502, 256, 9578, 267, 972, 781, 2141, 4055, 585, 1480, 5470, 269, 9373, 715, 3139, 9980, 640, 23779, 2439, 4415, 715, 2207, 2029, 267, 5904, 1451, 875, 547, 2697, 1271, 4773, 540, 1344, 1369, 5931, 8850, 269, 1358, 1413, 585, 3270, 543, 10881, 1175, 899, 3425, 798, 855, 666, 1184, 5318, 5666, 540, 1239, 3533, 543, 8308, 269, 1924, 3079, 540, 2542, 519, 3003, 1433, 6000, 267, 649, 666, 946, 891, 5100, 6620, 547, 11571, 519, 3817, 543, 4584, 856, 782, 519, 2197, 4408, 543, 7222, 5095, 585, 721, 269, 30474, 3579, 267, 26001, 2496, 3086, 4952, 7311, 713, 1482, 1523, 547, 824, 2010, 540, 9988, 1765, 3697, 1004, 267, 3906, 267, 610, 3140, 2621, 269, 22582, 267, 3173, 723, 1569, 547, 3532, 2645, 602, 948, 873, 5659, 5458, 25985, 540, 6054, 543, 10625, 6456, 4296, 1063, 1585, 3584, 269, 898, 781, 3592, 899, 2348, 15593, 6674, 29385, 2713, 3330, 707, 2780, 2439, 3383, 1946, 1281, 1620, 715, 2207, 2339, 547, 9358, 607, 513, 8049, 1647, 1153, 2875, 286, 4270, 267, 1589, 827, 875, 1082, 2053, 596, 2097, 2066, 1007, 1344, 1247, 19855, 2228, 4930, 267, 2835, 267, 610, 1514, 2923, 9708, 269, 9861, 2111, 547, 5431, 1883, 2035, 543, 3347, 1851, 1346, 11353, 540, 9623, 786, 7494, 2087, 707, 2702, 547, 10146, 543, 3314, 1018, 596, 1224, 269, 9578, 267, 6616, 875, 715, 2207, 1568, 10741, 909, 11995, 7399, 585, 3695, 4277, 5396, 543, 10647, 1382, 3785, 593, 707, 1378, 2439, 2414, 1205, 3323, 267, 2119, 8026, 715, 2207, 1983, 593, 2241, 5931, 1354, 3001, 5196, 3476, 3283, 269, 6733, 585, 17161, 602, 1796, 856, 267, 899, 4408, 540, 4872, 267, 2829, 267, 610, 2477, 269, 3973, 4161, 3054, 676, 7114, 1447, 6654, 9988, 267, 899, 3140, 5515, 610, 3621, 2474, 269, 2060, 2259, 267, 596, 3513, 1831, 513, 605, 693, 31986, 1271, 3877, 543, 8220, 873, 1927, 538, 1100, 942, 780, 8855, 267, 1565, 3085, 1405, 3247, 1934, 256, 5901, 3695, 1007, 2081, 547, 4228, 707, 1702, 543, 1020, 2565, 3206, 1983, 269, 2991, 782, 267, 945, 6487, 950, 596, 1522, 991, 547, 8756, 707, 6418, 15593, 6674, 29385, 14693, 1862, 9462, 499, 369, 20804, 587, 491, 27501, 478, 20804, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 1257, 649, 1224, 950, 649, 2070, 513, 1357, 2985, 267, 513, 5816, 610, 513, 4760, 2376, 568, 2407, 540, 3638, 543, 3407, 1344, 269, 3776, 12058, 616, 1360, 1434, 693, 4393, 543, 1818, 2631, 540, 1913, 538, 519, 2796, 538, 799, 789, 616, 4843, 269, 1284, 666, 2995, 950, 513, 2262, 568, 513, 726, 659, 17575, 1317, 649, 1174, 519, 4845, 1472, 621, 267, 543, 616, 24584, 547, 1294, 513, 1747, 2012, 269, 4746, 267, 649, 1419, 2907, 917, 519, 2012, 540, 519, 1747, 543, 1223, 4766, 621, 538, 2417, 1469, 689, 3965, 563, 2252, 5904, 1223, 1174, 1257, 607, 649, 798, 1287, 789, 1223, 581, 2706, 3730, 538, 4543, 721, 1265, 543, 1174, 1344, 1732, 269, 5303, 971, 607, 715, 3139, 9980, 640, 23779, 630, 301, 2207, 1070, 1141, 6191, 616, 8036, 547, 21028, 1919, 899, 1004, 267, 4025, 543, 3906, 676, 7421, 513, 2898, 1257, 267, 568, 5051, 1373, 1031, 547, 2490, 10750, 1257, 883, 513, 11295, 3060, 540, 2048, 628, 902, 8730, 543, 713, 1797, 6191, 666, 1118, 513, 811, 1950, 2079, 540, 1257, 267, 1454, 607, 649, 798, 563, 2026, 851, 540, 938, 5571, 21730, 9255, 18780, 1788, 267, 799, 568, 14102, 676, 519, 21730, 6554, 267, 649, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 32417, 543, 19475, 257, 607, 851, 540, 834, 3918, 29052, 9970, 1315, 1325, 2006, 30929, 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, 280, 281, 16286, 5071, 910, 2659, 7913, 29955, 7435, 692, 5331, 1373, 2111, 547, 960, 609, 513, 3972, 344, 2427, 330, 1157, 602, 2337, 596, 1205, 1919, 2944, 811, 7561, 543, 8308, 269, 769, 519, 1158, 540, 5904, 543, 5752, 267, 649, 723, 1945, 1175, 899, 602, 256, 898, 781, 1572, 13335, 14691, 28497, 267, 610, 16286, 585, 2110, 269, 1323, 16286, 568, 899, 513, 1305, 540, 3652, 602, 2636, 1114, 3301, 3292, 547, 5968, 609, 1142, 824, 267, 4543, 873, 2671, 1344, 543, 4247, 16900, 269, 4653, 267, 596, 786, 1451, 827, 8888, 29026, 543, 875, 621, 4249, 513, 2629, 1909, 538, 1930, 2707, 5752, 780, 4131, 781, 1589, 540, 606, 1383, 547, 1174, 713, 1732, 269, 5994, 596, 616, 2679, 513, 1007, 6181, 334, 14500, 855, 991, 930, 2027, 20398, 1152, 2139, 538, 1776, 1305, 269, 1677, 946, 1346, 2189, 4773, 267, 596, 1246, 519, 5528, 630, 337, 2737, 264, 3177, 676, 6181, 334, 547, 1921, 741, 5036, 1927, 269, 6684, 267, 950, 1079, 2780, 3292, 991, 547, 2170, 267, 9367, 1711, 29026, 865, 602, 1312, 1949, 917, 4010, 875, 547, 5968, 543, 5385, 1239, 610, 3252, 780, 3086, 267, 1946, 568, 1620, 16286, 1374, 1898, 585, 23501, 267, 2523, 2324, 609, 1930, 2707, 3785, 286, 1635, 1565, 875, 547, 1374, 2500, 29026, 267, 596, 5512, 1866, 547, 3362, 1628, 2390, 707, 960, 543, 11753, 621, 883, 741, 1378, 3785, 269, 901, 5698, 5012, 547, 5647, 543, 3356, 1369, 519, 8193, 2146, 269, 9578, 267, 2870, 1134, 27059, 29026, 1797, 1447, 942, 6170, 21338, 2152, 543, 811, 942, 585, 3384, 9735, 2934, 2439, 2080, 616, 1614, 1883, 3344, 540, 1434, 16286, 1374, 1384, 272, 269, 3244, 13109, 281, 3807, 899, 875, 596, 4782, 2241, 543, 2312, 5528, 1247, 14335, 707, 6181, 334, 28151, 267, 2653, 3562, 268, 16187, 29026, 948, 9367, 3533, 9787, 922, 3483, 543, 6165, 269, 2422, 5432, 2035, 543, 14908, 547, 1832, 1919, 2241, 2943, 3532, 563, 273, 269, 3117, 29548, 281, 18227, 707, 16286, 5812, 2306, 621, 4443, 585, 8284, 13798, 619, 547, 3589, 922, 2623, 543, 2497, 269, 1280, 3236, 267, 952, 596, 6430, 547, 2012, 1978, 3334, 1210, 4342, 601, 19111, 267, 6529, 547, 621, 2429, 707, 16286, 1374, 563, 274, 269, 11657, 566, 281, 5675, 3102, 10274, 5849, 602, 3755, 917, 875, 547, 8415, 1169, 2460, 540, 707, 16286, 3927, 269, 26451, 1806, 267, 18862, 267, 543, 1256, 7044, 4422, 513, 1279, 1259, 538, 1818, 707, 5137, 3015, 547, 3025, 780, 3528, 13215, 16286, 1374, 3741, 267, 596, 1831, 606, 7533, 851, 540, 519, 2479, 21212, 5752, 2146, 267, 7700, 2509, 4824, 7607, 267, 5876, 267, 543, 5698, 269, 3767, 602, 781, 1945, 4502, 3478, 9599, 827, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8005, 9327, 1406, 1616, 513, 5363, 13930, 945, 11974, 3301, 585, 12961, 267, 8255, 17500, 1922, 770, 4255, 267, 543, 5849, 5470, 6954, 3156, 286, 2334, 779, 10502, 1018, 12957, 4152, 2645, 798, 269, 6056, 540, 873, 607, 3059, 512, 22246, 267, 1073, 539, 1304, 569, 1739, 707, 12981, 267, 9494, 942, 267, 543, 4227, 6959, 563, 3963, 616, 789, 1271, 267, 596, 2307, 286, 4270, 267, 891, 2645, 948, 3986, 4398, 267, 2569, 1480, 4674, 267, 543, 2327, 519, 10727, 540, 707, 3301, 563, 6701, 596, 9599, 547, 2263, 891, 2645, 286, 1284, 4076, 3893, 596, 4988, 256, 7490, 2263, 938, 2347, 2376, 267, 1141, 649, 4076, 16432, 519, 1283, 476, 1428, 12957, 4152, 2645, 269, 2913, 779, 2253, 563, 12749, 476, 1428, 28290, 13281, 13088, 454, 16449, 1585, 3301, 4152, 2645, 267, 7446, 519, 1655, 835, 585, 12957, 4152, 707, 3301, 666, 581, 513, 512, 3931, 4305, 269, 1809, 1810, 1406, 5855, 256, 1284, 4076, 521, 26661, 998, 519, 3059, 804, 13616, 585, 519, 1283, 476, 1428, 12957, 4152, 2645, 269, 1452, 2645, 616, 707, 3009, 4891, 267, 28976, 519, 4152, 1184, 585, 5140, 3301, 2773, 269, 1924, 267, 1577, 779, 723, 513, 1413, 693, 713, 26940, 1592, 912, 17442, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 4338, 296, 5071, 257, 607, 851, 540, 834, 28035, 1315, 14691, 1315, 7046, 11905, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3407, 4030, 883, 2500, 1893, 4507, 267, 2146, 2861, 17933, 267, 543, 4464, 23302, 4485, 1898, 585, 14637, 543, 8497, 7524, 10409, 8916, 5001, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 31359, 540, 12780, 454, 274, 6113, 5181, 476, 1001, 275, 454, 8253, 1182, 540, 7763, 687, 585, 799, 1100, 2395, 723, 1044, 6378, 454, 3488, 15900, 4303, 7763, 687, 5073, 763, 4137, 1739, 713, 3090, 568, 519, 1297, 540, 16840, 945, 723, 3773, 741, 4408, 538, 1489, 540, 519, 18289, 267, 1519, 519, 16588, 538, 5279, 540, 519, 18289, 563, 5475, 606, 7216, 4303, 18289, 630, 3633, 300, 264, 814, 1044, 9102, 585, 519, 1101, 942, 267, 621, 568, 1152, 1065, 11781, 539, 950, 4408, 616, 3773, 610, 22853, 9184, 1194, 282, 1152, 519, 1101, 3670, 4408, 543, 1022, 4408, 3773, 2094, 519, 2063, 8228, 616, 3769, 269, 2991, 519, 3018, 538, 799, 513, 18289, 568, 1101, 9102, 543, 519, 1739, 3018, 267, 3773, 4408, 543, 22853, 2408, 1152, 538, 513, 5094, 1957, 267, 631, 1155, 11581, 16039, 267, 7856, 519, 1985, 13628, 269, 769, 519, 29291, 267, 789, 616, 2139, 585, 14791, 676, 16840, 538, 519, 7305, 8433, 543, 519, 7732, 610, 593, 519, 11581, 300, 6538, 693, 1196, 14741, 269, 1706, 8365, 16896, 454, 22550, 476, 1001, 275, 20525, 2894, 654, 2562, 301, 2207, 681, 12088, 631, 5746, 299, 4629, 312, 476, 2641, 281, 278, 281, 1691, 454, 6546, 713, 5600, 4967, 602, 519, 476, 1001, 275, 7046, 729, 4465, 676, 681, 800, 5062, 296, 331, 5797, 267, 11173, 519, 5863, 2487, 1106, 540, 8832, 8581, 781, 17075, 619, 538, 10888, 513, 3126, 540, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 763, 3778, 540, 519, 21730, 5678, 257, 607, 851, 540, 834, 19615, 1315, 2342, 1315, 4279, 6628, 1315, 12986, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 938, 3408, 540, 5274, 12754, 5004, 630, 16281, 300, 1070, 513, 4105, 5057, 540, 4213, 543, 16450, 256, 5620, 596, 2479, 9289, 875, 3549, 2327, 789, 723, 519, 1318, 1004, 2324, 585, 873, 286, 1215, 798, 789, 15313, 1007, 5520, 267, 5721, 873, 267, 543, 1832, 873, 6126, 693, 960, 286, 901, 568, 1141, 15679, 300, 2501, 883, 1404, 269, 2913, 781, 4685, 883, 713, 4241, 1158, 1927, 2439, 5331, 596, 616, 4358, 513, 21097, 1796, 1870, 609, 707, 2828, 269, 1411, 991, 2576, 547, 948, 25837, 19790, 976, 267, 1776, 3659, 547, 3575, 4006, 543, 1216, 267, 543, 835, 811, 547, 4196, 5561, 269, 5463, 4575, 945, 1281, 1018, 2816, 543, 1818, 2386, 3025, 4991, 2059, 1107, 602, 781, 2907, 513, 1376, 540, 15679, 2359, 2439, 3086, 1577, 781, 1589, 827, 4466, 1346, 2319, 2818, 269, 5994, 8380, 909, 4191, 1472, 4884, 3168, 585, 25981, 3214, 945, 2648, 1818, 10425, 269, 2334, 781, 1572, 16461, 1746, 269, 4495, 596, 1265, 1761, 10457, 267, 596, 5967, 873, 547, 1294, 952, 789, 1131, 581, 1434, 13352, 585, 707, 1870, 269, 901, 1900, 568, 1634, 607, 8939, 269, 5556, 17894, 267, 596, 1175, 6192, 1079, 1898, 4247, 538, 15679, 300, 2439, 3719, 7227, 267, 972, 781, 811, 256, 2991, 17849, 707, 5326, 2319, 267, 621, 781, 1271, 547, 4001, 873, 3388, 789, 991, 547, 917, 827, 4881, 513, 3811, 21097, 1796, 269, 9751, 666, 4125, 3450, 873, 10346, 267, 6075, 3028, 1983, 267, 6666, 7829, 267, 543, 1256, 7738, 11645, 269, 2060, 1134, 2389, 11712, 5234, 267, 707, 1870, 786, 2196, 12347, 543, 7561, 780, 8170, 1576, 267, 5329, 707, 2319, 12592, 543, 13854, 568, 2629, 1932, 269, 5510, 1359, 15314, 899, 1863, 16152, 610, 7874, 733, 3949, 1223, 1711, 2635, 6735, 1247, 4509, 15131, 269, 1306, 707, 1870, 9428, 267, 5009, 2182, 11529, 2043, 547, 19217, 800, 5107, 1522, 1831, 2556, 269, 2353, 891, 3344, 2887, 896, 9441, 1646, 543, 8404, 2994, 1369, 15679, 300, 780, 7661, 267, 4952, 2348, 22195, 1851, 707, 2319, 10863, 269, 898, 4523, 10876, 267, 1519, 2462, 14078, 269, 589, 1883, 5539, 540, 15679, 300, 568, 20547, 7526, 9425, 998, 1930, 2792, 9055, 865, 602, 782, 6105, 1745, 4862, 543, 15197, 780, 2026, 596, 666, 1294, 267, 5883, 1480, 2200, 3322, 1082, 1114, 3334, 269, 3245, 14045, 7247, 547, 16926, 267, 2866, 873, 3927, 267, 30070, 741, 1655, 2773, 267, 3384, 741, 11678, 267, 547, 7231, 609, 9036, 2152, 910, 1169, 2962, 5222, 519, 2949, 1967, 540, 1022, 3919, 267, 2436, 621, 781, 513, 1507, 21097, 1796, 610, 513, 29505, 18294, 269, 1924, 1985, 942, 950, 596, 3643, 513, 4558, 610, 13962, 267, 3314, 602, 9952, 15679, 4648, 5249, 3297, 519, 10207, 547, 3142, 519, 3501, 2319, 1927, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 30238, 10241, 7046, 476, 1708, 275, 912, 297, 320, 760, 584, 2817, 2160, 476, 1708, 275, 13335, 4813, 814, 1044, 1234, 548, 1078, 585, 15316, 20043, 269, 12878, 2082, 538, 476, 1220, 278, 267, 26566, 760, 584, 2817, 2160, 630, 297, 26214, 264, 568, 513, 4357, 6280, 4092, 538, 26566, 760, 584, 267, 14076, 553, 22474, 269, 808, 26214, 3091, 513, 3309, 2039, 540, 15938, 267, 2022, 12392, 267, 543, 25719, 6030, 538, 4610, 971, 607, 7177, 267, 14997, 2329, 267, 5020, 543, 9978, 7070, 267, 11982, 267, 6355, 5004, 267, 4065, 267, 4521, 267, 7136, 9012, 267, 23392, 5004, 267, 543, 811, 563, 763, 6280, 568, 9516, 676, 772, 24774, 267, 589, 2975, 15288, 267, 715, 6311, 292, 267, 645, 5746, 267, 5442, 290, 267, 623, 5746, 267, 543, 631, 5746, 267, 4180, 519, 2298, 543, 3044, 540, 922, 4081, 3292, 269, 1520, 3939, 547, 808, 26214, 568, 1759, 593, 2901, 606, 9980, 8896, 4530, 610, 513, 8585, 527, 5178, 529, 269, 1280, 645, 24728, 543, 32233, 3292, 267, 808, 26214, 24693, 8464, 689, 11400, 899, 808, 7417, 267, 29640, 267, 13878, 267, 2473, 2969, 267, 543, 18328, 2969, 269, 634, 6280, 849, 29377, 519, 26566, 760, 584, 9980, 8896, 15921, 18623, 1222, 4530, 630, 297, 12239, 264, 585, 1585, 6030, 563, 297, 26214, 7143, 3699, 3156, 689, 3084, 543, 3486, 1053, 269, 634, 3498, 1184, 568, 2139, 2228, 543, 22356, 269, 769, 519, 3127, 4653, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 14549, 12754, 5004, 630, 16281, 300, 17983, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 25642, 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, 276, 281, 4498, 1145, 532, 519, 5295, 540, 9966, 528, 910, 634, 3203, 995, 2422, 540, 22505, 1849, 747, 15530, 692, 1103, 2221, 781, 8013, 4081, 5251, 267, 7555, 856, 814, 1831, 5051, 1271, 269, 22034, 9644, 3927, 538, 2852, 3156, 3091, 23078, 513, 3407, 4316, 547, 10646, 2933, 689, 741, 9905, 1247, 11744, 5876, 543, 1582, 18221, 269, 769, 713, 3184, 267, 649, 786, 2263, 875, 7328, 804, 747, 15530, 666, 4196, 607, 14984, 2645, 585, 13167, 8903, 2984, 543, 2502, 3988, 269, 1635, 6313, 741, 8129, 267, 10096, 267, 543, 25664, 725, 267, 1053, 666, 1451, 547, 10244, 891, 5432, 7215, 547, 1711, 12300, 4296, 543, 1039, 682, 6143, 547, 741, 6386, 780, 296, 269, 4197, 519, 700, 675, 540, 22505, 1849, 747, 15530, 692, 288, 269, 17959, 540, 22505, 1849, 747, 15530, 692, 272, 269, 8466, 2796, 281, 3245, 3504, 12977, 547, 2413, 2053, 267, 5026, 723, 5129, 1713, 5107, 538, 5935, 7239, 543, 4529, 5001, 269, 1306, 971, 267, 789, 723, 6383, 9118, 10477, 18986, 1682, 543, 23199, 602, 15449, 622, 938, 3232, 7391, 563, 273, 269, 6762, 10409, 13795, 281, 1452, 24819, 7215, 1683, 721, 609, 12667, 11052, 543, 18427, 2178, 4664, 267, 1818, 873, 3226, 13267, 950, 1031, 4140, 5534, 569, 538, 2854, 2792, 563, 274, 269, 17629, 9029, 281, 9717, 519, 7839, 8560, 540, 1585, 18942, 18697, 267, 6220, 7328, 804, 747, 15530, 883, 2852, 3594, 2636, 5830, 547, 3715, 11541, 1455, 2666, 1063, 2933, 543, 741, 5304, 780, 289, 269, 17291, 15019, 22505, 1849, 747, 15530, 692, 272, 269, 1912, 29320, 899, 834, 30893, 1442, 621, 856, 540, 519, 6288, 2437, 834, 339, 13224, 6658, 2437, 543, 834, 338, 4594, 546, 6064, 257, 12013, 1518, 2442, 2296, 1893, 18986, 1682, 6508, 689, 13836, 267, 1977, 11176, 267, 543, 14912, 6606, 563, 273, 269, 4033, 8037, 19528, 281, 834, 24038, 4730, 2361, 2437, 834, 1326, 1394, 538, 519, 3014, 2437, 834, 1706, 585, 519, 1576, 2437, 3092, 1421, 782, 31827, 689, 3309, 5026, 10080, 780, 2862, 269, 3690, 14127, 595, 997, 1127, 20553, 13229, 21931, 13088, 692, 288, 269, 1234, 19960, 1456, 19361, 25285, 692, 272, 269, 4427, 31844, 6788, 281, 10558, 532, 1134, 8153, 804, 747, 15530, 538, 4195, 267, 23349, 2081, 666, 533, 1664, 3988, 262, 7279, 543, 5352, 26675, 563, 273, 269, 17023, 23538, 281, 3525, 4328, 3964, 2453, 547, 9290, 1808, 3871, 20502, 27265, 543, 4199, 6888, 267, 4946, 6106, 540, 2495, 547, 519, 2239, 780, 7078, 281, 5502, 540, 17548, 834, 2005, 729, 513, 30089, 282, 594, 513, 1027, 519, 1449, 1510, 8840, 513, 17570, 2437, 556, 874, 19189, 621, 607, 834, 10907, 27854, 562, 597, 341, 3570, 256, 594, 30774, 998, 519, 6514, 24672, 267, 6028, 1086, 17508, 25859, 1152, 593, 1250, 8284, 4983, 525, 3010, 289, 269, 12745, 783, 16949, 692, 272, 269, 1530, 600, 1652, 13289, 281, 28038, 804, 747, 15530, 693, 2309, 324, 8090, 10597, 2095, 543, 25843, 267, 4180, 5347, 5610, 1369, 519, 6626, 2239, 2497, 563, 273, 269, 8298, 673, 11144, 281, 26787, 2312, 4296, 1063, 2093, 6087, 5830, 547, 2226, 11007, 1247, 14139, 2789, 804, 545, 1127, 2429, 741, 3594, 780, 7656, 269, 21344, 31864, 543, 27067, 281, 22367, 6362, 519, 9406, 570, 821, 692, 288, 269, 7225, 5534, 13335, 692, 272, 269, 2725, 25979, 1935, 281, 3683, 6748, 804, 747, 15530, 4220, 8920, 5024, 741, 1764, 543, 14944, 1456, 519, 2949, 7145, 540, 519, 1557, 563, 273, 269, 21864, 13307, 281, 1546, 1943, 532, 2824, 7215, 693, 2565, 795, 9417, 999, 7586, 5809, 741, 16982, 267, 25040, 1883, 6835, 267, 543, 19156, 2278, 658, 8247, 780, 289, 269, 9650, 995, 19047, 692, 272, 269, 10748, 1466, 4656, 281, 18227, 3077, 3988, 1222, 630, 328, 4318, 1421, 2852, 23504, 26639, 264, 538, 2247, 5849, 3261, 520, 8864, 543, 10083, 950, 9001, 14973, 3457, 563, 273, 269, 8836, 8417, 281, 21727, 532, 2686, 4763, 543, 9319, 5732, 18086, 11475, 11151, 9813, 908, 9458, 543, 1033, 24219, 689, 5497, 20261, 780, 4353, 269, 5136, 8877, 24720, 543, 4676, 1456, 9828, 692, 288, 269, 3752, 545, 1746, 25709, 687, 692, 272, 269, 25398, 2689, 281, 19457, 31585, 609, 15032, 543, 2828, 2488, 3255, 585, 16268, 9880, 543, 4244, 5380, 563, 273, 269, 16869, 5796, 281, 31173, 3610, 267, 24784, 267, 610, 3318, 19393, 2337, 2697, 2127, 8506, 6454, 543, 4570, 919, 3811, 11056, 780, 289, 269, 594, 614, 894, 6713, 692, 272, 269, 23120, 27715, 281, 17115, 2847, 2358, 543, 11049, 960, 1759, 593, 5955, 18791, 1603, 1983, 543, 11942, 2208, 607, 513, 3868, 1807, 563, 273, 269, 11154, 1464, 281, 16871, 1689, 543, 6967, 1930, 547, 1007, 2093, 7512, 17634, 267, 3056, 547, 5499, 3096, 540, 9644, 543, 7328, 804, 747, 15530, 780, 3528, 13215, 519, 1148, 995, 17293, 540, 7328, 804, 747, 15530, 1369, 741, 2852, 3498, 3594, 267, 14971, 5640, 666, 25407, 9458, 267, 16174, 2933, 689, 15712, 267, 543, 6038, 3986, 741, 8458, 540, 17516, 524, 913, 1540, 9634 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1411, 1522, 948, 2932, 1382, 593, 1585, 3584, 1644, 547, 513, 2013, 267, 971, 607, 20857, 909, 1344, 827, 4031, 543, 2250, 5947, 902, 547, 1489, 519, 15818, 781, 7440, 269, 901, 851, 540, 519, 2816, 1223, 1745, 899, 8380, 1927, 4773, 540, 513, 11015, 267, 3843, 547, 1265, 4296, 543, 1818, 2386, 3388, 13352, 1175, 1318, 269, 8528, 3719, 972, 781, 865, 1454, 811, 547, 1373, 513, 1612, 531, 20235, 982, 1175, 3257, 1382, 269, 1280, 1383, 267, 596, 1223, 1404, 513, 1713, 1909, 538, 8600, 1271, 6054, 585, 5480, 5873, 902, 610, 824, 4013, 18659, 269, 1452, 4574, 1223, 2039, 689, 7198, 6898, 547, 11731, 267, 782, 8506, 6297, 3007, 547, 1469, 547, 2327, 6111, 269, 898, 9364, 581, 899, 13167, 513, 1650, 1210, 5013, 543, 1913, 910, 7168, 3579, 267, 26001, 2496, 3086, 1577, 781, 1589, 827, 930, 1483, 3734, 3871, 1141, 2348, 9952, 1612, 531, 1122, 1023, 2306, 513, 5458, 3017, 269, 14597, 513, 2462, 4693, 568, 4947, 909, 5473, 1079, 3549, 11722, 532, 9562, 540, 513, 1007, 8798, 269, 4521, 14636, 8204, 1312, 5011, 786, 991, 6351, 17265, 9118, 3817, 540, 14664, 6054, 267, 3621, 2090, 267, 543, 19359, 1063, 519, 6105, 269, 1306, 513, 1612, 531, 20235, 267, 596, 1223, 4685, 2620, 883, 891, 2326, 267, 4543, 2697, 1883, 2798, 602, 7794, 707, 2319, 781, 2990, 780, 7775, 2015, 1776, 9183, 1141, 2576, 814, 1044, 4636, 539, 855, 3085, 1405, 917, 875, 547, 6330, 519, 1950, 3656, 1062, 269, 589, 12391, 543, 6131, 1612, 531, 20235, 1223, 3391, 873, 998, 519, 1184, 267, 7713, 741, 2924, 543, 3681, 5693, 1247, 3246, 1898, 3929, 1489, 1282, 4101, 2053, 780, 6826, 5765, 513, 1612, 531, 20235, 3322, 11543, 1808, 1702, 543, 28798, 1978, 1983, 269, 2290, 1259, 547, 798, 713, 568, 676, 11264, 513, 2027, 2228, 2866, 1982, 2966, 4481, 585, 2104, 1612, 531, 1122, 1023, 269, 3414, 5049, 543, 3946, 6823, 2833, 267, 596, 3513, 1451, 827, 1114, 2127, 540, 1876, 267, 1020, 2178, 1382, 5759, 267, 543, 1831, 21295, 693, 12180, 1344, 3927, 269, 2060, 8990, 543, 2182, 960, 267, 596, 1932, 666, 7832, 593, 713, 13858, 3460, 540, 5275, 5126, 543, 5935, 938, 2486, 585, 519, 1732, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2252, 2324, 1369, 519, 3656, 1062, 22587, 547, 596, 267, 4466, 519, 1655, 2228, 1612, 531, 20235, 13995, 3292, 949, 581, 519, 1985, 1900, 538, 707, 3872, 3460, 563, 13640, 531, 1122, 1023, 960, 896, 27192, 543, 616, 1634, 547, 723, 1390, 2565, 3206, 543, 2792, 1983, 269, 1358, 666, 960, 538, 3728, 19550, 267, 3078, 11678, 543, 1419, 936, 5408, 1382, 267, 4579, 26004, 267, 610, 1256, 2963, 10655, 538, 519, 2872, 789, 6430, 547, 960, 1369, 563, 29394, 658, 5903, 532, 10374, 24927, 912, 2252, 596, 616, 13730, 827, 5126, 543, 3656, 2259, 267, 621, 949, 581, 942, 547, 2253, 707, 7634, 883, 1612, 531, 20235, 13995, 563, 16032, 6732, 3474, 531, 20235, 25890, 15789, 454, 2304, 2228, 1612, 531, 20235, 15149, 1982, 2636, 596, 547, 11349, 519, 2556, 5578, 1305, 547, 581, 513, 8013, 11134, 538, 519, 1612, 531, 20235, 3924, 563, 288, 14468, 1612, 531, 20235, 2337, 17864, 998, 7463, 1382, 547, 1450, 873, 547, 6707, 6330, 8062, 267, 11401, 267, 543, 5480, 5873, 902, 269, 1358, 949, 849, 581, 3238, 538, 519, 7041, 540, 3656, 12319, 563, 29394, 658, 5903, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 769, 713, 1576, 1770, 267, 649, 5490, 883, 519, 1158, 540, 10723, 21088, 13047, 2575, 267, 4481, 6313, 922, 1909, 538, 5935, 2686, 3961, 543, 1514, 22122, 1369, 2950, 4299, 676, 2067, 12469, 269, 3414, 519, 7828, 540, 519, 17245, 4670, 834, 299, 657, 31123, 657, 7111, 25860, 2437, 799, 8711, 519, 7418, 540, 5101, 11968, 13353, 262, 7574, 1895, 11968, 31123, 657, 547, 519, 932, 4618, 334, 3350, 267, 649, 2263, 875, 9102, 2575, 5713, 607, 513, 3532, 1907, 585, 4082, 543, 7067, 1282, 4101, 2053, 780, 5575, 267, 1577, 721, 3715, 513, 13654, 1620, 540, 10723, 21088, 13047, 2575, 269, 25214, 267, 10723, 1151, 657, 941, 5340, 5097, 538, 3909, 8658, 267, 971, 607, 13039, 610, 17633, 269, 1452, 4773, 1419, 6039, 607, 7215, 540, 5132, 543, 20174, 267, 23475, 2901, 796, 659, 1260, 3966, 1221, 610, 6462, 676, 2241, 31627, 269, 3683, 942, 267, 10723, 21088, 27132, 9450, 3564, 14553, 1396, 17790, 5468, 267, 6220, 3309, 6163, 543, 7506, 602, 10630, 519, 4657, 2115, 543, 2418, 540, 1585, 2950, 269, 4653, 267, 10723, 21088, 5639, 3788, 513, 4105, 2460, 540, 1082, 2686, 5389, 1472, 519, 8608, 780, 3086, 267, 2015, 519, 2189, 1379, 540, 2575, 607, 513, 1797, 540, 2792, 543, 4276, 269, 9521, 9275, 1893, 267, 2575, 25186, 10409, 7496, 267, 3850, 1004, 689, 1114, 10080, 547, 2671, 2833, 543, 4664, 5103, 1761, 1893, 3604, 269, 5015, 267, 2575, 814, 1044, 3254, 547, 1404, 513, 1713, 9354, 1909, 538, 5466, 8194, 543, 5807, 6043, 1851, 2043, 12936, 676, 9568, 610, 6433, 269, 1280, 1383, 267, 1382, 5342, 1310, 23587, 15576, 27444, 7000, 602, 7589, 538, 18497, 13465, 2238, 5280, 15000, 11883, 609, 16236, 543, 2530, 1247, 8195, 5009, 4606, 540, 9322, 543, 3838, 3483, 780, 4415, 891, 2093, 538, 2247, 267, 1577, 721, 4983, 519, 1808, 2013, 1353, 4843, 538, 834, 299, 657, 31123, 657, 7111, 25860, 1701, 5590, 1996, 519, 20457, 540, 2022, 268, 24160, 638, 820, 5101, 11968, 13353, 538, 476, 3192, 272, 267, 519, 4670, 7710, 875, 11968, 31123, 657, 1031, 741, 2575, 547, 8661, 543, 8190, 932, 4618, 334, 2528, 9624, 14488, 269, 1635, 5373, 2390, 2757, 11204, 7574, 3029, 899, 23725, 657, 543, 544, 926, 25764, 267, 789, 2813, 606, 3312, 3280, 602, 6949, 730, 7184, 609, 741, 5304, 269, 5047, 267, 741, 18405, 4749, 9619, 4798, 4143, 547, 519, 932, 4618, 334, 1995, 267, 971, 607, 4074, 2924, 267, 7130, 267, 543, 2686, 11348, 780, 3080, 8037, 1383, 689, 11968, 31123, 657, 262, 1167, 2762, 568, 519, 5152, 834, 17442, 645, 31243, 2437, 1759, 593, 513, 2757, 11204, 12563, 19820, 269, 4256, 4528, 10905, 2609, 540, 4224, 1412, 333, 262, 5066, 609, 2757, 18819, 267, 2870, 513, 12760, 602, 22587, 547, 1312, 7820, 543, 4587, 5481, 269, 634, 18913, 3381, 20502, 10207, 540, 4948, 1272, 538, 5101, 15829, 267, 2417, 10771, 519, 2956, 540, 8497, 2686, 6561, 1282, 24360, 2053, 780, 2026, 596, 2992, 593, 713, 2013, 1353, 267, 2015, 519, 1739, 2055, 281, 1215, 1522, 9102, 2575, 4196, 607, 513, 2707, 540, 4313, 543, 6667, 585, 2950, 23232, 689, 2067, 12469, 286, 1548, 5107, 666, 12372, 1404, 538, 7586, 4328, 12790, 9739, 543, 14957, 585, 1514, 5126, 2152, 1369, 741, 9757, 2950, 286, 3958, 267, 875, 1522, 10723, 21088, 13047, 2575, 1599, 8335, 982, 26254, 12644, 538, 23187, 2123, 6386, 543, 2833, 2496, 2414, 15052, 707, 6278, 609, 891, 3584, 267, 3343, 856, 3606, 2200, 602, 5031, 519, 28963, 1063, 2575, 267, 2686, 3961, 267, 543, 6051, 689, 16839, 269, 1411, 949, 6999, 547, 2263, 32026, 267, 4930, 267, 610, 4081, 2090, 602, 2232, 2147, 4798, 267, 610, 1256, 7390, 2661, 12644, 10023, 5159, 4171, 960, 20383, 609, 891, 4690, 269, 1635, 3257, 865, 267, 596, 786, 711, 1152, 3986, 707, 1620, 540, 519, 1570, 4988, 1934, 855, 849, 11349, 513, 811, 13857, 7071, 585, 519, 13710, 1379, 540, 2575, 538, 938, 2729, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1103, 1840, 547, 3785, 593, 1022, 1888, 267, 4993, 28299, 3091, 2027, 1445, 2127, 585, 28299, 585, 2353, 16797, 6182, 1218, 912, 587, 350, 284, 13553, 29594, 619, 281, 634, 28299, 538, 519, 2991, 4118, 540, 7849, 2598, 7539, 454, 294, 7949, 13815, 539, 14400, 476, 1708, 274, 912, 30943, 25860, 1107, 14675, 10177, 1188, 540, 519, 932, 4618, 334, 11873, 454, 293, 2135, 23117, 728, 26308, 7690, 267, 23117, 728, 454, 19061, 10615, 281, 595, 2106, 628, 807, 19159, 454, 763, 16737, 23117, 728, 26308, 7690, 267, 538, 11558, 609, 519, 4975, 540, 23117, 728, 543, 824, 4891, 267, 786, 3984, 606, 2069, 23793, 1982, 9306, 606, 6905, 12744, 540, 519, 17245, 4670, 267, 700, 5308, 700, 15477, 5308, 19364, 20937, 590, 2177, 306, 269, 634, 8470, 1235, 786, 1331, 5824, 343, 5159, 543, 519, 8366, 20421, 2504, 2319, 540, 519, 4670, 269, 901, 1982, 786, 4497, 2362, 2069, 5238, 543, 2199, 1153, 13102, 786, 6494, 1053, 630, 332, 1497, 1153, 998, 2852, 264, 547, 5873, 689, 1346, 945, 723, 2907, 4957, 267, 543, 3136, 547, 1689, 267, 519, 5251, 585, 1762, 5824, 343, 2146, 2818, 543, 5159, 269, 14691, 786, 2253, 5437, 476, 1708, 274, 563, 25567, 320, 779, 1715, 652, 20079, 281, 24184, 513, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 631, 4785, 2975, 1315, 7179, 539, 8535, 1315, 966, 5914, 1315, 29042, 3752, 334, 20429, 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, 1262, 8702, 547, 938, 3102, 3391, 593, 1818, 2724, 682, 529, 256, 4373, 1103, 713, 5850, 267, 649, 786, 3802, 596, 998, 1169, 2582, 1900, 2838, 547, 1711, 4190, 543, 29549, 2724, 682, 529, 267, 689, 1376, 547, 9096, 269, 1284, 3513, 8263, 602, 596, 723, 11613, 1100, 1991, 1995, 610, 1702, 827, 519, 1158, 543, 1480, 4205, 267, 865, 1810, 1405, 5855, 952, 930, 3268, 949, 3100, 5393, 2596, 1107, 649, 4312, 3893, 596, 4988, 2439, 1262, 3721, 476, 272, 281, 20283, 532, 10049, 630, 15307, 13846, 5384, 281, 476, 1789, 3764, 21143, 2414, 2253, 267, 596, 3513, 991, 547, 2445, 1896, 1898, 3688, 269, 7490, 1246, 891, 5528, 5402, 1384, 265, 2878, 299, 11229, 2659, 10610, 4995, 3689, 267, 1265, 707, 1560, 269, 898, 781, 519, 3364, 609, 7916, 267, 7953, 267, 2212, 267, 543, 8731, 810, 7923, 547, 621, 269, 1411, 2811, 4440, 9361, 610, 7555, 3330, 621, 1318, 1631, 563, 265, 2878, 7476, 5455, 543, 8844, 15907, 4995, 28392, 1796, 909, 689, 1141, 596, 616, 27206, 630, 604, 10858, 1040, 6875, 1507, 3268, 4464, 2394, 596, 3914, 606, 1930, 2230, 267, 899, 513, 4055, 610, 10689, 3118, 269, 2142, 18762, 711, 547, 29424, 883, 4376, 610, 4896, 563, 265, 2878, 8340, 513, 1684, 528, 4995, 6733, 1472, 585, 513, 14328, 2497, 609, 31963, 543, 513, 798, 1251, 333, 984, 269, 901, 568, 1572, 513, 7450, 269, 7046, 621, 676, 7432, 519, 5679, 984, 29628, 1247, 11319, 610, 17444, 519, 7450, 9900, 563, 265, 2878, 2750, 527, 519, 18740, 4995, 5153, 3544, 519, 4055, 267, 2921, 1416, 711, 547, 7552, 936, 1022, 9465, 269, 1411, 1058, 581, 538, 513, 3677, 1858, 267, 971, 607, 513, 2777, 267, 19887, 267, 610, 5604, 2679, 780, 3086, 267, 1577, 781, 5531, 2326, 1384, 265, 2878, 300, 2292, 645, 1571, 4995, 4855, 513, 1747, 1141, 1004, 4558, 1957, 12014, 609, 2338, 543, 5961, 593, 873, 630, 324, 3052, 1421, 23129, 267, 1625, 572, 267, 6477, 4445, 4871, 1040, 17179, 930, 540, 1346, 4574, 282, 789, 2099, 1114, 5666, 540, 1871, 630, 933, 3513, 946, 873, 2663, 1916, 265, 2878, 21803, 610, 3828, 710, 4995, 9612, 585, 513, 6094, 267, 8465, 1570, 1031, 585, 1119, 532, 1919, 1927, 630, 3697, 15524, 601, 2167, 610, 18052, 1040, 12338, 513, 4062, 5111, 476, 274, 268, 275, 3952, 1279, 1210, 23805, 610, 513, 5969, 1907, 563, 265, 2878, 9928, 19538, 4995, 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 ]
[ 8250, 2281, 543, 547, 8011, 532, 5481, 10611, 2793, 267, 17677, 21178, 8681, 539, 281, 10717, 9967, 540, 1079, 22204, 607, 10353, 547, 519, 811, 11342, 2582, 3613, 8681, 539, 10717, 269, 4107, 540, 519, 5595, 3613, 8681, 539, 12415, 616, 4646, 689, 16606, 540, 5027, 676, 703, 1090, 12817, 3490, 1790, 1515, 532, 540, 30141, 14911, 9696, 9674, 676, 513, 2582, 3613, 8681, 539, 8520, 269, 2368, 5595, 3613, 8681, 539, 12415, 540, 10717, 616, 3339, 538, 782, 7103, 269, 9558, 5296, 727, 281, 634, 4806, 540, 717, 2894, 292, 12327, 11266, 8577, 12778, 693, 519, 1377, 540, 4719, 16606, 538, 513, 1808, 11248, 610, 896, 1808, 6381, 538, 1808, 2281, 6185, 2793, 267, 7233, 281, 1546, 20293, 1026, 31265, 545, 3679, 602, 2306, 909, 519, 4719, 1570, 540, 2371, 12991, 13086, 26287, 1231, 281, 26287, 1231, 1336, 538, 519, 13540, 540, 513, 1591, 269, 1684, 711, 25657, 609, 715, 10813, 4041, 8008, 4629, 15288, 27486, 799, 616, 5946, 17788, 730, 609, 31332, 7408, 267, 602, 616, 711, 8209, 1459, 538, 519, 13540, 6993, 2381, 334, 18729, 25627, 281, 634, 1931, 540, 11254, 7408, 607, 789, 2049, 538, 513, 1135, 4286, 32644, 5832, 269, 901, 568, 5219, 547, 607, 519, 3119, 2497, 540, 5946, 269, 898, 568, 540, 4909, 2956, 538, 8159, 11550, 15288, 2562, 12164, 19489, 7246, 3582, 10611, 2793, 853, 1464, 281, 634, 6708, 547, 799, 606, 10717, 11140, 25601, 922, 7293, 8699, 543, 759, 1235, 12159, 676, 10717, 10345, 267, 543, 3490, 2275, 520, 3315, 7458, 670, 312, 291, 4629, 14877, 306, 3041, 267, 896, 4657, 538, 24155, 610, 538, 20117, 2175, 2529, 793, 531, 3690, 9134, 281, 634, 29296, 4483, 540, 1344, 630, 6798, 1670, 11852, 30032, 22128, 264, 998, 513, 5365, 13374, 269, 769, 1142, 5365, 1098, 9134, 1062, 267, 606, 11852, 30032, 22128, 5365, 689, 513, 31127, 3742, 11140, 630, 327, 768, 821, 267, 32239, 264, 568, 25358, 3842, 519, 23993, 540, 513, 13805, 19841, 10405, 547, 513, 2034, 28034, 1062, 610, 547, 606, 9357, 8756, 269, 28686, 1098, 9134, 4249, 606, 1271, 1909, 538, 1437, 908, 10408, 3252, 267, 1591, 15285, 267, 543, 1591, 18735, 269, 6201, 540, 5365, 1098, 9134, 1949, 616, 519, 717, 4456, 7246, 268, 4456, 2562, 15477, 7473, 312, 30278, 8028, 2839, 1790, 739, 27675, 25443, 13805, 23343, 6458, 9357, 8756, 1062, 267, 519, 13805, 24975, 570, 16052, 11852, 13374, 267, 543, 519, 13805, 24975, 11852, 540, 8485, 30649, 1162, 269, 8409, 13745, 547, 9245, 1244, 6897, 1436, 610, 29296, 5305, 540, 7513, 1331, 519, 13805, 24975, 11852, 540, 11118, 25570, 3252, 538, 11491, 592, 14231, 543, 519, 5348, 25443, 14984, 2747, 540, 3940, 32635, 11852, 269, 2368, 5365, 1098, 9134, 11444, 949, 581, 851, 540, 3677, 5365, 1098, 9134, 11444, 282, 585, 1383, 267, 3940, 32635, 11852, 568, 851, 540, 519, 6676, 2280, 11852, 5365, 13374, 269, 7049, 525, 267, 3115, 7163, 281, 2637, 525, 4171, 4082, 568, 3362, 3713, 762, 543, 4061, 1031, 547, 1353, 3260, 518, 2534, 693, 1082, 7158, 538, 513, 3077, 11646, 269, 769, 21921, 5364, 5027, 2029, 267, 891, 6090, 949, 581, 7923, 547, 513, 3260, 518, 3148, 540, 1719, 11053, 984, 8829, 281, 589, 2030, 12593, 540, 519, 1920, 25663, 288, 2793, 4753, 20067, 269, 16840, 2270, 715, 2975, 302, 2316, 20911, 543, 824, 31127, 3742, 6464, 282, 922, 12015, 3762, 616, 1031, 585, 15382, 19170, 14371, 2940, 20309, 19938, 267, 2037, 9195, 11043, 281, 7102, 540, 519, 3157, 676, 799, 6046, 267, 11118, 32194, 267, 610, 954, 14978, 2188, 3310, 519, 11186, 1852, 540, 5444, 2962, 538, 11747, 10282, 5861, 749, 7412, 281, 12878, 2082, 1591, 4529, 602, 723, 519, 1761, 547, 29608, 22543, 17802, 10611, 2793, 281, 589, 1135, 2106, 16197, 582, 728, 9967, 9247, 540, 11800, 609, 513, 18110, 22449, 540, 19552, 543, 10775, 846, 4559, 547, 799, 9436, 748, 13279, 616, 7923, 269, 10717, 568, 2189, 1851, 6211, 5672, 668, 26163, 538, 602, 621, 666, 31391, 4719, 1344, 267, 4196, 607, 606, 10731, 7293, 5057, 540, 2281, 267, 543, 849, 19299, 29512, 2534, 269, 630, 305, 773, 3455, 1696, 620, 1421, 3794, 27443, 540, 21834, 281, 18190, 543, 17449, 267, 476, 276, 628, 1196, 264, 19913, 714, 657, 21839, 3912, 806, 281, 589, 12593, 540, 607, 1260, 26338, 564, 748, 13271, 540, 519, 1920, 5576, 714, 657, 21839, 3912, 322, 564, 19687, 267, 1931, 5576, 714, 657, 21839, 3912, 322, 564, 2297, 6185, 1144, 7304, 1122, 1637, 281, 589, 2942, 9431, 1198, 593, 12214, 3157, 693, 519, 7636, 267, 10408, 267, 610, 11528, 1377, 269, 2311, 519, 7636, 1377, 267, 519, 2101, 9431, 4609, 1331, 9245, 13364, 267, 6090, 630, 294, 2894, 292, 12327, 11266, 8577, 12778, 681, 9680, 308, 6369, 3582, 1070, 544, 23978, 630, 11748, 267, 631, 8577, 2894, 294, 2207, 1070, 543, 5946, 14371, 2940, 20309, 19938, 267, 5164, 531, 281, 7102, 540, 519, 3157, 676, 799, 11118, 32194, 2188, 3310, 519, 11186, 1852, 540, 5444, 2962, 538, 8290, 269, 10000, 7304, 1122, 1637, 281, 589, 2318, 9431, 1198, 593, 12214, 3157, 693, 519, 7636, 267, 10408, 267, 610, 11528, 1377, 269, 2311, 519, 7636, 1377, 267, 519, 2101, 9431, 4609, 1331, 9245, 13364, 267, 6090, 630, 294, 2894, 292, 12327, 11266, 8577, 12778, 681, 9680, 308, 6369, 3582, 1070, 544, 23978, 630, 11748, 267, 631, 8577, 2894, 294, 2207, 1070, 543, 5946, 269, 274, 262, 772, 660, 4920, 3836, 3204, 687, 281, 634, 5311, 693, 519, 476, 274, 262, 1439, 540, 28034, 10717, 602, 1281, 711, 3009, 585, 1587, 269, 901, 3148, 3568, 16606, 543, 8144, 15725, 9696, 2529, 3225, 775, 5811, 267, 10717, 281, 589, 1617, 626, 720, 1184, 602, 2882, 28295, 267, 2168, 11837, 267, 1016, 743, 11238, 267, 15971, 267, 543, 1344, 2079, 540, 606, 10717, 10323, 12702, 9970, 269, 7049, 525, 267, 7233, 281, 634, 6198, 22420, 4559, 540, 12813, 3198, 4811, 269, 276, 262, 772, 660, 4920, 3836, 3204, 687, 281, 634, 5311, 693, 519, 476, 276, 262, 1439, 540, 519, 28034, 10717, 602, 1281, 711, 3009, 585, 1587, 269, 901, 5311, 3568, 519, 10775, 25593, 11006, 3135, 543, 824, 16606, 543, 8144, 15725, 9696, 14371, 2240, 12071, 2803, 1417, 26287, 1231, 281, 19871, 1387, 9233, 543, 16755, 540, 519, 589, 3225, 648, 320, 4619, 18319, 3039, 24638, 3940, 602, 12520, 1769, 630, 14566, 308, 3036, 2464, 290, 9970, 264, 950, 9599, 609, 772, 299, 307, 6938, 9654, 302, 4041, 307, 17241, 22076, 269, 1358, 616, 1031, 538, 29187, 3036, 9898, 717, 2894, 2464, 538, 3257, 717, 2894, 292, 12087, 570, 20168, 296, 27309, 269, 26597, 4573, 1218, 723, 1044, 1500, 547, 12520, 824, 4778, 610, 581, 6213, 547, 9063, 5861, 20635, 267, 4980, 3293, 281, 19204, 9070, 730, 538, 20117, 538, 2027, 2923, 20009, 547, 741, 2208, 269, 4980, 3293, 2281, 616, 1031, 547, 1353, 11095, 267, 10641, 11043, 267, 10894, 267, 28772, 11043, 267, 543, 4719, 3157, 267, 1851, 1866, 10422, 1156, 9189, 281, 634, 21286, 5920, 540, 519, 1367, 269, 898, 568, 519, 1587, 540, 4205, 1063, 6090, 267, 543, 1063, 519, 717, 2894, 5588, 312, 14154, 543, 519, 1604, 9950, 23728, 267, 17449, 281, 634, 1184, 540, 19469, 1689, 693, 519, 1377, 540, 5027, 282, 10717, 282, 543, 11550, 15288, 27486, 267, 936, 20422, 5481, 269, 21446, 894, 590, 2364, 532, 281, 589, 1184, 17929, 2789, 10717, 31286, 616, 6383, 689, 513, 2582, 5444, 269, 20010, 521, 2364, 532, 3322, 519, 521, 2364, 532, 1927, 540, 824, 2009, 5036, 540, 12327, 2177, 306, 1282, 519, 4393, 540, 930, 267, 855, 711, 782, 267, 31286, 540, 519, 5444, 269, 4935, 513, 1880, 608, 517, 949, 581, 4448, 547, 1022, 835, 540, 1896, 4244, 608, 976, 547, 1106, 513, 9921, 10717, 269, 634, 4244, 3029, 540, 9921, 631, 8577, 2894, 294, 2207, 10717, 3132, 11550, 15288, 2562, 18869, 19489, 5960, 538, 799, 835, 851, 540, 519, 568, 334, 13257, 568, 1455, 1247, 519, 824, 2694, 616, 1114, 8160, 14007, 566, 281, 18827, 540, 18861, 2516, 269, 769, 1277, 334, 2275, 13511, 18861, 566, 568, 1031, 547, 1965, 614, 1518, 1286, 7901, 2643, 2516, 543, 4894, 23253, 2516, 676, 8156, 5160, 6810, 609, 3905, 8715, 12935, 538, 519, 4527, 540, 8652, 18608, 545, 3679, 269, 630, 5804, 853, 539, 2006, 267, 476, 1839, 628, 1196, 264, 28053, 7412, 267, 570, 32214, 281, 589, 1591, 1899, 6508, 689, 31796, 10510, 2281, 11482, 903, 710, 281, 1323, 1898, 11254, 3679, 269, 898, 568, 1419, 3773, 547, 3662, 3049, 14371, 2940, 20309, 19938, 267, 2274, 8123, 6193, 281, 7102, 540, 519, 3157, 676, 799, 6046, 267, 11118, 32194, 267, 610, 954, 14978, 2188, 3310, 519, 11186, 1852, 540, 5444, 2962, 538, 26679, 8160, 617, 1564, 267, 18143, 281, 11933, 3749, 11269, 602, 18082, 519, 2623, 610, 2534, 540, 6211, 3157, 610, 3676, 269, 1280, 2068, 3631, 538, 2713, 2831, 267, 20591, 292, 17955, 26827, 30600, 267, 4888, 8379, 3201, 568, 2139, 269, 18143, 3631, 1331, 519, 946, 540, 6310, 4834, 267, 5904, 267, 543, 824, 5907, 3937, 5861, 976, 5703, 25627, 281, 589, 5311, 540, 11254, 7408, 538, 513, 1135, 4286, 32644, 610, 540, 22951, 1938, 538, 5027, 610, 10717, 602, 568, 2147, 2066, 2789, 2249, 269, 589, 1634, 1305, 540, 24721, 9696, 568, 6719, 676, 513, 12164, 306, 27602, 4785, 10323, 12702, 9970, 269, 7537, 2562, 302, 8028, 2839, 17834, 2316, 12396, 616, 1419, 7768, 540, 24721, 9696, 2529, 3225, 775, 5811, 267, 5027, 281, 589, 1617, 626, 720, 1184, 602, 2882, 28295, 267, 2168, 11837, 267, 1016, 743, 11238, 267, 8990, 540, 519, 5027, 10323, 12702, 9970, 267, 543, 1344, 2079, 2529, 21510, 2264, 281, 14938, 1113, 5665, 3292, 543, 1239, 799, 4051, 519, 8647, 540, 513, 3059, 2780, 269, 5141, 13831, 5811, 281, 589, 1305, 540, 8579, 2409, 1031, 547, 1895, 4632, 610, 7422, 883, 9244, 954, 5829, 1016, 25364, 269, 769, 27496, 267, 621, 949, 581, 1031, 547, 5659, 513, 5702, 19882, 3126, 540, 2621, 610, 2665, 540, 2068, 610, 824, 1072, 5829, 7613, 609, 1134, 20452, 3892, 3270, 538, 6935, 547, 942, 610, 1747, 610, 1312, 8160, 2222, 6783, 5811, 281, 634, 21800, 2079, 267, 593, 513, 2890, 577, 760, 267, 540, 2789, 5439, 610, 9072, 11231, 538, 606, 5044, 3898, 269, 7922, 31857, 267, 8832, 281, 24544, 540, 10717, 602, 814, 1044, 32661, 648, 21154, 9674, 543, 1799, 984, 28895, 676, 1025, 31857, 593, 6491, 549, 3250, 21695, 610, 824, 1826, 540, 1957, 610, 562, 14125, 9245, 4553, 676, 10316, 1436, 609, 13042, 715, 10813, 4041, 2975, 8028, 2839, 11550, 289, 2464, 269, 9558, 325, 1254, 281, 634, 19718, 540, 21736, 610, 29881, 5027, 676, 595, 5085, 11862, 267, 2356, 2495, 519, 1184, 607, 621, 4386, 538, 32541, 2281, 269, 898, 568, 26922, 547, 9190, 7004, 630, 15045, 23177, 19489, 7246, 3582, 267, 645, 3722, 9898, 24361, 264, 543, 1312, 616, 22991, 6964, 538, 717, 2894, 292, 13138, 23177, 29052, 570, 20168, 296, 27309, 5861, 749, 7756, 2747, 281, 28626, 19231, 540, 519, 11095, 1761, 543, 2810, 29286, 540, 1599, 602, 5012, 547, 519, 5250, 540, 7463, 2281, 267, 8031, 267, 543, 8219, 269, 9558, 5296, 1308, 2920, 10474, 281, 22948, 602, 12954, 519, 717, 2894, 292, 12087, 13138, 3198, 17092, 6020, 303, 3582, 540, 513, 5444, 610, 1305, 540, 6090, 6185, 2793, 10021, 619, 281, 10374, 9696, 630, 10090, 958, 827, 476, 1015, 3490, 8424, 264, 540, 5027, 602, 616, 14911, 547, 9696, 540, 28034, 10717, 543, 1450, 9258, 13973, 1162, 547, 1376, 25718, 519, 11105, 9696, 540, 22328, 269, 10021, 619, 616, 1031, 14916, 538, 4719, 543, 7636, 7350, 2553, 16638, 32163, 28628, 1436, 281, 589, 4480, 602, 2199, 3278, 1808, 31332, 3679, 9696, 1369, 16856, 15954, 267, 32541, 2281, 267, 610, 9190, 2281, 998, 519, 946, 540, 1808, 31332, 3679, 2000, 8475, 539, 28525, 269, 9558, 5025, 551, 643, 2209, 281, 5262, 639, 1043, 5444, 2472, 602, 957, 593, 4630, 27881, 610, 10636, 27881, 6675, 540, 10194, 610, 10408, 5027, 547, 10038, 519, 4082, 540, 5946, 10611, 788, 31395, 26287, 1231, 281, 26287, 1231, 799, 2226, 519, 13973, 1308, 844, 625, 12412, 540, 1808, 717, 2894, 2464, 610, 20525, 2207, 2177, 306, 269, 18190, 1065, 31395, 5946, 616, 5027, 1532, 4193, 5946, 602, 616, 7363, 3808, 547, 519, 20525, 2207, 2969, 3036, 681, 9680, 12778, 540, 606, 1766, 517, 267, 610, 519, 13673, 295, 3198, 290, 2207, 10323, 12702, 27301, 2464, 540, 513, 5444, 2394, 513, 5365, 4386, 602, 3123, 741, 5305, 10422, 8432, 1067, 848, 20456, 31472, 281 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1832, 713, 6609, 585, 2104, 4704, 630, 663, 3343, 856, 834, 5271, 757, 257, 32656, 1773, 338, 16253, 952, 596, 723, 1022, 2856, 1018, 1346, 2370, 536, 23395, 5835, 21985, 616, 593, 519, 6205, 15236, 910, 602, 4667, 547, 723, 3025, 538, 602, 8468, 588, 2096, 1221, 8627, 6902, 264, 30155, 26139, 10067, 14900, 715, 14241, 700, 10394, 8627, 630, 4517, 11876, 262, 5448, 11986, 262, 328, 630, 322, 784, 337, 1846, 11631, 264, 593, 1373, 513, 20417, 4565, 1794, 518, 14386, 0, 2704, 26891, 543, 606, 617, 1242, 11956, 616, 1312, 3339, 2326, 585, 3434, 2264, 269, 1703, 616, 1808, 5383, 543, 11393, 547, 1142, 2186, 540, 1570, 7282, 741, 13345, 538, 3434, 2264, 269, 3371, 267, 1287, 267, 693, 602, 1448, 267, 616, 519, 5383, 543, 11393, 540, 891, 5094, 2326, 563, 2704, 26891, 568, 513, 5363, 4496, 585, 946, 538, 3434, 2264, 616, 621, 568, 513, 24077, 31092, 540, 8515, 267, 543, 538, 519, 2680, 602, 519, 3434, 2264, 568, 3710, 18481, 5394, 267, 2112, 916, 909, 8449, 269, 630, 293, 3916, 1910, 11956, 3434, 2264, 5932, 1966, 2127, 282, 713, 568, 519, 1448, 693, 799, 513, 1906, 3148, 540, 513, 8708, 3002, 909, 811, 6385, 982, 1866, 798, 267, 1818, 1426, 694, 541, 4700, 607, 2484, 607, 3434, 2264, 267, 11956, 568, 513, 10464, 4496, 267, 543, 568, 17426, 269, 3502, 5976, 9227, 267, 11956, 3434, 2264, 814, 513, 1906, 3978, 11393, 1932, 563, 2704, 26891, 568, 513, 10347, 4496, 602, 568, 20916, 547, 31153, 267, 543, 2417, 3467, 23538, 3927, 693, 1164, 2112, 916, 269, 589, 1713, 17498, 728, 547, 11956, 568, 476, 10755, 271, 11956, 6656, 19580, 18261, 621, 568, 513, 17841, 1570, 269, 901, 10522, 602, 621, 786, 4431, 609, 15755, 1426, 2959, 899, 20521, 543, 14274, 267, 543, 2417, 3467, 609, 19729, 1426, 8677, 899, 22648, 543, 607, 32651, 269, 634, 3210, 2306, 1426, 8677, 723, 606, 1055, 267, 17285, 6492, 267, 543, 2417, 3467, 3123, 3099, 2242, 538, 519, 1426, 2959, 267, 4929, 873, 547, 3100, 606, 30299, 4158, 12094, 563, 763, 13345, 540, 11956, 538, 3434, 2264, 568, 11338, 30940, 269, 589, 1906, 5359, 723, 17429, 1027, 602, 11956, 689, 3434, 2264, 12086, 883, 1426, 267, 543, 713, 1951, 1456, 8591, 547, 12216, 779, 3968, 269, 13575, 267, 875, 1454, 11956, 602, 568, 10057, 689, 3434, 2264, 538, 513, 1554, 568, 24215, 1970, 267, 711, 4010, 519, 2040, 602, 1131, 581, 17477, 689, 519, 2040, 538, 606, 3679, 9243, 6500, 16979, 269, 7756, 18362, 2243, 519, 4276, 1851, 779, 3434, 2264, 543, 1164, 11956, 2157, 538, 519, 6147, 1962, 636, 563, 288, 3903, 538, 11956, 3434, 2264, 602, 814, 1044, 2808, 811, 5150, 568, 606, 617, 1242, 11956, 3434, 2264, 269, 1323, 617, 1242, 11956, 3434, 2264, 814, 8854, 998, 513, 4783, 547, 1118, 922, 5007, 2627, 1312, 1447, 32615, 547, 2596, 543, 1351, 4592, 633, 1426, 8677, 267, 607, 1134, 607, 811, 29367, 547, 2285, 811, 29810, 15072, 25518, 269, 769, 1022, 2013, 267, 1282, 1279, 267, 3500, 5986, 3157, 267, 519, 3356, 687, 538, 1426, 6492, 543, 3099, 1644, 609, 11956, 3434, 2264, 666, 538, 1022, 2013, 4755, 563, 288, 1713, 19319, 547, 606, 617, 1242, 11956, 538, 3434, 2264, 568, 602, 621, 568, 26837, 22239, 4101, 547, 1832, 2973, 267, 711, 5976, 9227, 513, 1906, 12696, 2665, 2469, 1996, 519, 2343, 563, 1103, 5348, 18462, 267, 1312, 11956, 543, 606, 617, 1242, 11956, 3434, 2264, 723, 4230, 15929, 8515, 19428, 267, 616, 17426, 543, 616, 22237, 4334, 539, 609, 824, 3434, 2264, 5079, 269, 769, 1022, 2013, 267, 519, 11393, 1644, 609, 519, 3356, 687, 538, 6492, 543, 3099, 538, 1426, 2959, 5423, 538, 11956, 543, 11956, 606, 617, 1242, 3434, 2264, 1522, 15558, 741, 5383, 267, 20314, 550, 593, 519, 3364, 596, 616, 5986, 543, 519, 4640, 596, 616, 9001, 547, 3434, 609, 563, 296, 723, 11273, 4274, 569, 543, 607, 513, 3978, 1753, 3434, 585, 513, 2731, 1279, 942, 267, 543, 993, 5462, 547, 2995, 27278, 1004, 519, 22705, 1938, 543, 17498, 1938, 827, 1114, 5686, 540, 3434, 2264, 269, 1403, 596, 723, 1022, 7287, 547, 1205, 5432, 609, 3434, 2264, 1354, 596, 1118, 513, 1713, 1719, 538, 621, 267, 3643, 1250, 3135, 23448, 867, 2435, 13648, 338, 10261, 23448, 867, 2435, 13648, 2264, 269, 769, 519, 2680, 602, 596, 616, 12799, 16994, 593, 4466, 856, 827, 2353, 4211, 19921, 3434, 2264, 267, 2219, 827, 835, 540, 519, 1034, 5863, 12478, 540, 3434, 2264, 602, 4896, 1223, 4126, 547, 1265, 676, 21295, 11477, 4966, 267, 3643, 713, 3135, 585, 519, 1655, 12417, 593, 796, 3711, 27631, 5272, 1849, 611, 6221, 269, 634, 3091, 616, 942, 3146, 560, 24071, 267, 865, 538, 519, 2680, 602, 596, 991, 606, 9058, 11460, 593, 513, 887, 2120, 585, 21175, 610, 585, 606, 11108, 10516, 585, 519, 3434, 593, 707, 678, 1495, 1144, 267, 3643, 4166, 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 ]
[ 0, 5149, 7170, 281, 1133, 24286, 23942, 18266, 338, 281, 1325, 5586, 5566, 11470, 538, 19565, 4168, 9085, 692, 7072, 912, 1103, 4207, 11174, 5708, 267, 14336, 5566, 6386, 2709, 1762, 3988, 7096, 4030, 883, 1950, 3909, 4798, 1247, 3246, 2502, 543, 19511, 9423, 2833, 269, 2290, 971, 1383, 666, 581, 1336, 1369, 519, 7706, 540, 4168, 3332, 267, 1141, 14336, 1559, 1419, 4196, 607, 3015, 10766, 1811, 547, 3695, 7493, 5289, 2093, 269, 769, 713, 1770, 267, 649, 786, 5490, 2620, 883, 519, 1158, 540, 14336, 5566, 5708, 676, 7421, 513, 8903, 2013, 1353, 602, 10905, 2609, 540, 11114, 18691, 609, 4168, 10752, 269, 1284, 786, 4983, 875, 891, 1079, 9583, 19635, 5389, 18595, 710, 547, 1711, 513, 3532, 2239, 5827, 540, 6949, 908, 609, 2413, 9458, 269, 1635, 5702, 6313, 519, 5339, 2553, 6964, 543, 8220, 873, 547, 6626, 2686, 8658, 267, 713, 1770, 6663, 547, 6536, 2565, 3206, 1983, 1851, 2852, 1053, 267, 8716, 873, 547, 5660, 519, 6988, 540, 3909, 6386, 543, 741, 11972, 10083, 538, 2221, 779, 3309, 2486, 780, 296, 269, 20223, 1325, 5586, 800, 543, 4706, 25684, 538, 23515, 16337, 1315, 16241, 1315, 4168, 1315, 4937, 454, 288, 269, 9502, 540, 14336, 800, 454, 272, 269, 19247, 540, 14336, 800, 607, 513, 27461, 7154, 540, 6041, 13296, 3197, 267, 5468, 267, 543, 2621, 1796, 585, 7493, 16431, 610, 5837, 3741, 454, 273, 269, 17564, 540, 519, 3140, 1646, 540, 14336, 800, 538, 5375, 3332, 267, 3226, 922, 5072, 538, 13400, 608, 1122, 8412, 543, 2038, 4168, 12591, 454, 289, 269, 11957, 540, 14336, 800, 538, 11174, 4168, 5708, 454, 272, 269, 11137, 540, 1946, 4589, 8415, 14336, 800, 547, 6655, 3909, 6835, 547, 7820, 3988, 454, 320, 269, 22217, 2305, 540, 6946, 24396, 2035, 998, 11541, 6698, 543, 23199, 454, 321, 269, 11559, 618, 540, 8086, 543, 26126, 3823, 2123, 5132, 3460, 454, 290, 269, 17583, 1063, 14336, 800, 543, 11114, 18691, 454, 272, 269, 16709, 540, 519, 3638, 2245, 540, 9423, 538, 11114, 2528, 267, 10771, 519, 946, 540, 26704, 7068, 543, 16750, 7919, 454, 273, 269, 5811, 540, 875, 11114, 12563, 3271, 545, 2609, 3986, 519, 14336, 5566, 2470, 540, 519, 2239, 267, 4946, 6106, 540, 2495, 543, 13513, 692, 2862, 269, 8865, 5530, 281, 1879, 513, 26286, 1290, 525, 547, 16731, 630, 1708, 272, 1070, 2854, 676, 27813, 27173, 334, 543, 11609, 676, 22118, 928, 23765, 454, 288, 269, 14271, 18462, 543, 4282, 1344, 454, 272, 269, 13517, 540, 519, 3209, 779, 4729, 267, 3197, 267, 543, 4259, 454, 273, 269, 4985, 547, 519, 2278, 543, 3879, 15249, 267, 10223, 741, 9757, 7418, 547, 1453, 779, 3332, 543, 3308, 6575, 454, 289, 269, 13335, 540, 14336, 5566, 2609, 538, 519, 2239, 454, 272, 269, 22384, 540, 1883, 6698, 543, 18305, 6537, 689, 1312, 8567, 543, 11114, 18691, 454, 320, 269, 7395, 673, 20259, 8204, 10143, 6304, 543, 5583, 454, 321, 269, 9835, 15948, 4137, 18220, 532, 7326, 543, 4276, 547, 18577, 4978, 454, 273, 269, 28604, 540, 519, 16502, 779, 3460, 607, 606, 14336, 800, 585, 5289, 2208, 543, 1582, 22523, 454, 290, 269, 11879, 2079, 540, 519, 3209, 779, 21200, 543, 1764, 454, 272, 269, 5623, 540, 934, 565, 3547, 1655, 15735, 2390, 519, 960, 267, 1519, 20380, 17758, 543, 2369, 1431, 454, 273, 269, 10495, 540, 5467, 8039, 543, 14046, 31886, 267, 7234, 9342, 543, 12755, 540, 519, 2239, 779, 1935, 547, 14336, 800, 543, 3909, 6044, 692, 7656, 269, 18948, 540, 1879, 513, 26286, 1290, 525, 547, 16731, 609, 4033, 3718, 540, 1325, 5586, 5566, 19565, 4168, 11470, 454, 288, 269, 19139, 540, 3606, 5931, 585, 6476, 454, 272, 269, 6201, 949, 1331, 27825, 899, 595, 2529, 269, 11066, 685, 20048, 2873, 540, 715, 7568, 807, 3126, 610, 811, 2487, 12326, 899, 918, 15811, 4793, 3205, 779, 15167, 547, 6833, 629, 603, 807, 454, 289, 269, 2155, 4689, 885, 543, 3604, 2066, 6074, 1568, 454, 272, 269, 16214, 540, 3838, 4798, 267, 971, 607, 25863, 267, 15093, 267, 543, 2648, 454, 273, 269, 14506, 593, 2189, 3344, 540, 1142, 1257, 267, 6236, 2188, 899, 2686, 7506, 267, 3077, 5304, 267, 543, 30031, 5079, 692, 4353, 269, 12634, 20480, 543, 10241, 540, 1325, 5586, 5566, 11470, 538, 19565, 4168, 9085, 454, 288, 269, 10020, 540, 14336, 800, 538, 5807, 7679, 28216, 5188, 543, 3444, 14426, 1620, 454, 272, 269, 17564, 540, 875, 14336, 5566, 6386, 7520, 7391, 827, 4984, 543, 17035, 1510, 759, 15659, 547, 2915, 15122, 7682, 687, 610, 8701, 1944, 9840, 454, 273, 269, 19809, 540, 2013, 2090, 11744, 3811, 6388, 540, 14336, 800, 538, 18371, 3872, 5468, 454, 289, 269, 16949, 540, 2029, 543, 3059, 2923, 538, 22412, 908, 14336, 5566, 6386, 454, 272, 269, 22410, 540, 6932, 5867, 543, 12043, 585, 4687, 3909, 2984, 267, 971, 607, 7317, 552, 20486, 267, 5691, 4641, 2833, 267, 543, 2228, 2950, 454, 273, 269, 27148, 540, 1761, 2640, 543, 2591, 2404, 609, 7857, 1944, 14336, 5566, 5708, 267, 5466, 2152, 899, 10333, 267, 13597, 267, 543, 24890, 692, 6962, 912, 9961, 713, 1770, 267, 649, 723, 8268, 519, 4241, 10167, 540, 14336, 800, 267, 11114, 18691, 267, 543, 4168, 10752, 1369, 11174, 5708, 269, 1635, 5402, 26819, 532, 513, 8037, 12013, 541, 1107, 1879, 513, 26286, 1290, 525, 547, 16731, 1107, 543, 2198, 908, 621, 7258, 824, 1713, 1568, 540, 14336, 5566, 5708, 267, 1053, 723, 6591, 3407, 5813, 883, 519, 1379, 540, 2239, 607, 513, 6174, 585, 23187, 1950, 3909, 2093, 269, 5047, 267, 789, 723, 1044, 9280, 609, 2645, 2556, 547, 9691, 6218, 519, 1909, 540, 14336, 800, 538, 4207, 2486, 267, 14344, 922, 4390, 547, 3895, 13784, 267, 5876, 267, 543, 7214, 7279, 269, 11086, 267, 713, 4514, 7071, 585, 14336, 5566, 5708, 5713, 607, 513, 5748, 585, 4797, 6278, 609, 3909, 6386, 267, 18136, 1053, 547, 7832, 593, 741, 1378, 15322, 540, 6602, 543, 21481, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 347, 16300, 16337, 1315, 6520, 476, 1015, 268, 1691, 454, 347, 16300, 16337, 1315, 7731, 1315, 5564, 3394, 518, 1049, 454, 347, 16300, 16337, 1315, 6181, 1742, 267, 3733, 2195, 267, 674, 1963, 1315, 7489, 454, 347, 16300, 16337, 1315, 4317, 21771, 1315, 12280, 1299, 667, 3539, 454, 347, 29910, 17451, 13582, 8479, 16989, 3883, 13815, 630, 1708, 273, 264, 476, 5881, 454, 309, 1069, 2632, 13642, 667, 727, 3883, 13815, 630, 1708, 272, 264, 476, 5881, 454, 10481, 3073, 807, 5753, 781, 3883, 9457, 5903, 630, 1708, 272, 264, 476, 5881, 454, 6124, 25053, 29274, 12736, 1676, 630, 1708, 272, 264, 12736, 1676, 454, 2026, 1014, 18025, 6680, 1977, 20157, 12579, 5948, 630, 4338, 6369, 9984, 24145, 1155, 13815, 630, 1708, 272, 264, 12736, 1676, 454, 31340, 24655, 5600, 5753, 781, 7734, 454, 347, 278, 269, 8287, 514, 1535, 476, 276, 269, 866, 514, 1535, 476, 271, 269, 4281, 514, 454, 347, 5804, 634, 21629, 20330, 347, 310, 2562, 301, 2207, 5508, 5990, 21832, 21612, 312, 32212, 3201, 3040, 21832, 962, 3036, 298, 29376, 2464, 645, 2464, 4811, 21822, 2207, 3040, 654, 2562, 301, 2207, 5508, 5990, 6789, 296, 3198, 18025, 3722, 9281, 2975, 7537, 2207, 2975, 3198, 32217, 19181, 11123, 8863, 6579, 11403, 2894, 24202, 700, 25604, 2969, 13543, 454, 25898, 596, 1118, 513, 4308, 609, 513, 9589, 20259, 286, 901, 10575, 14823, 1650, 6770, 11114, 18691, 547, 1272, 607, 513, 8004, 4422, 593, 513, 1391, 547, 12260, 519, 1379, 540, 2984, 543, 4688, 1200, 20516, 563, 2691, 15039, 543, 1200, 1920, 1847, 538, 609, 1200, 7210, 20516, 267, 513, 9589, 20259, 2786, 856, 540, 1200, 10300, 3000, 328, 781, 11114, 12563, 2145, 525, 21128, 267, 20872, 15039, 547, 19586, 513, 5728, 1920, 28624, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 2704, 5586, 5566, 11470, 257, 607, 851, 540, 834, 16300, 16337, 1315, 16241, 1315, 4168, 1315, 4937, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 17629, 5071, 585, 4804, 630, 11070, 299, 264, 910, 10435, 3427, 513, 4279, 9255, 585, 15526, 2439, 5970, 596, 2479, 2219, 827, 875, 3579, 621, 1131, 581, 952, 3025, 1223, 1451, 538, 741, 1378, 2189, 1259, 286, 2368, 1004, 1522, 899, 6947, 547, 2984, 267, 1247, 1866, 4782, 2542, 2835, 610, 5373, 5961, 269, 4270, 267, 972, 781, 513, 2027, 2856, 1572, 17629, 5071, 585, 4804, 630, 11070, 299, 264, 602, 2337, 3610, 1711, 4245, 865, 602, 20231, 1053, 666, 2972, 1565, 256, 2913, 781, 4685, 883, 713, 9735, 1523, 1927, 2439, 5331, 6972, 883, 707, 4928, 543, 7487, 1114, 2010, 540, 2238, 1305, 909, 585, 519, 1554, 781, 3992, 269, 1703, 616, 1650, 9248, 267, 19297, 609, 4277, 5013, 267, 2679, 7161, 267, 543, 1256, 930, 2575, 4730, 538, 519, 4282, 256, 901, 568, 1018, 772, 13036, 5654, 899, 1107, 4758, 1053, 5079, 547, 2263, 543, 1174, 1007, 1919, 1759, 593, 1018, 1568, 1655, 585, 873, 780, 3086, 1577, 781, 2743, 938, 3659, 267, 5981, 269, 5981, 14560, 6217, 2984, 855, 3006, 9060, 621, 2182, 547, 1445, 950, 789, 616, 1152, 2854, 1524, 593, 1957, 269, 2060, 772, 13036, 267, 5981, 4991, 547, 6432, 547, 519, 4116, 2995, 519, 1650, 856, 10978, 1210, 1187, 9739, 543, 7215, 269, 2311, 519, 1482, 942, 267, 824, 3214, 945, 2648, 2542, 1205, 547, 1224, 2059, 538, 741, 2835, 269, 1635, 3257, 713, 267, 1312, 5981, 543, 519, 3988, 1745, 6126, 543, 3769, 1317, 789, 3893, 547, 1451, 538, 2081, 602, 14018, 873, 1655, 269, 1215, 15813, 568, 602, 31841, 5194, 1271, 3364, 827, 772, 13036, 568, 1818, 2386, 1169, 2875, 7959, 10950, 543, 12595, 538, 1362, 269, 5994, 1373, 538, 513, 1747, 1141, 16764, 3507, 919, 707, 4555, 267, 8369, 267, 543, 3604, 269, 2334, 781, 4010, 1018, 13784, 1797, 256, 1879, 3506, 2259, 13784, 998, 772, 13036, 267, 782, 1053, 723, 3160, 3255, 547, 8011, 1100, 2339, 741, 4282, 267, 5198, 267, 4008, 267, 610, 5759, 780, 2080, 779, 1776, 1383, 281, 1589, 827, 4730, 513, 2319, 7328, 1282, 12424, 269, 3767, 4952, 952, 835, 540, 707, 2828, 3096, 513, 30523, 282, 2705, 267, 519, 19209, 3884, 1406, 2966, 585, 2576, 538, 513, 30523, 547, 6443, 538, 519, 3014, 269, 1677, 4368, 713, 1966, 267, 707, 1153, 16976, 547, 1628, 15155, 1186, 543, 12189, 3937, 865, 602, 3025, 666, 7119, 8449, 269, 3807, 899, 602, 267, 707, 1153, 1500, 2242, 547, 3895, 538, 1816, 4369, 676, 6236, 3309, 2115, 269, 6684, 267, 772, 13036, 7512, 7855, 547, 1374, 4245, 602, 2015, 1585, 2081, 1053, 949, 4497, 609, 1344, 267, 2769, 2933, 267, 543, 3251, 12592, 2429, 741, 1565, 3460, 780, 2467, 781, 1945, 3116, 1360, 3532, 827, 772, 13036, 1932, 1107, 1582, 22325, 256, 898, 2636, 1053, 899, 596, 547, 2671, 707, 4555, 543, 4606, 16175, 269, 1879, 596, 3142, 707, 3020, 1582, 547, 1153, 1142, 1554, 267, 5863, 1919, 4755, 269, 1411, 1106, 4514, 4296, 609, 707, 9905, 267, 1020, 6015, 538, 707, 15421, 267, 543, 3565, 4195, 5380, 602, 10802, 5717, 543, 3785, 269, 1924, 1810, 1406, 12404, 707, 22464, 1107, 8661, 621, 2439, 1103, 5758, 267, 17629, 5071, 585, 4804, 630, 11070, 299, 264, 5932, 22205, 5054, 1141, 1053, 666, 1451, 538, 2081, 602, 9290, 873, 1655, 269, 3414, 8537, 2069, 2853, 267, 1582, 22325, 267, 543, 1620, 3309, 2115, 267, 3506, 1831, 811, 7524, 4025, 2407, 540, 5876, 267, 5698, 267, 543, 2208, 269, 1656, 7058, 1018, 286, 9358, 723, 519, 1379, 547, 948, 3262, 891, 8748, 2418, 1369, 707, 2146, 256, 8625, 267, 1577, 781, 960, 2509, 513, 2104, 1141, 3025, 2833, 7772, 543, 1967, 538, 1565, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2026, 327, 758, 16429, 3873, 568, 519, 18947, 966, 303, 540, 23654, 18058, 693, 22337, 13643, 267, 13327, 4370, 2518, 2792, 3252, 269, 769, 713, 12558, 267, 649, 1865, 281, 763, 10025, 540, 27884 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 28237, 267, 543, 1978, 6878, 666, 3310, 713, 10894, 1184, 563, 5938, 320, 543, 15346, 532, 454, 5938, 320, 267, 1419, 6039, 3905, 267, 1522, 3100, 4831, 842, 30698, 607, 513, 9023, 20892, 563, 4913, 267, 519, 3661, 538, 7401, 779, 9023, 3601, 568, 7184, 12082, 538, 2686, 2853, 267, 2523, 538, 2477, 609, 3905, 16374, 563, 763, 24117, 3297, 713, 6013, 538, 519, 1259, 519, 1560, 20781, 547, 519, 3002, 689, 519, 7401, 563, 2691, 596, 8532, 513, 3905, 20892, 899, 7401, 267, 621, 7620, 12651, 707, 4835, 1560, 2837, 563, 1607, 12987, 519, 1560, 547, 2746, 676, 2810, 17570, 2504, 269, 1306, 519, 17570, 18493, 919, 267, 621, 3579, 338, 519, 1560, 267, 3246, 513, 2631, 540, 8323, 563, 1607, 9023, 1198, 267, 13251, 676, 519, 1560, 779, 3210, 547, 519, 3355, 4473, 538, 2837, 267, 568, 1018, 8309, 547, 519, 8226, 540, 7401, 607, 513, 9023, 4235, 563, 11101, 267, 930, 8044, 602, 519, 21729, 617, 559, 2218, 1198, 540, 3905, 7401, 1522, 849, 1404, 513, 1909, 563, 309, 553, 617, 7976, 4016, 547, 519, 11097, 2287, 540, 1973, 8043, 267, 799, 666, 3986, 1973, 2095, 547, 519, 2960, 563, 1607, 2799, 1973, 2095, 16881, 3002, 4744, 11692, 267, 2417, 7700, 547, 519, 9023, 14815, 563, 763, 10020, 540, 2717, 2988, 1156, 11169, 454, 5938, 320, 568, 3638, 538, 25168, 1156, 11169, 267, 513, 1895, 540, 7135, 1634, 585, 741, 15934, 3601, 563, 4407, 519, 3119, 1445, 540, 25168, 1156, 11169, 568, 593, 741, 1761, 1072, 2640, 267, 930, 1382, 5267, 602, 891, 7135, 949, 849, 1404, 513, 1909, 538, 2837, 7939, 563, 22977, 580, 718, 11229, 24739, 7086, 622, 630, 9680, 290, 294, 1070, 513, 1826, 540, 25168, 1156, 565, 1336, 538, 7401, 267, 814, 1044, 6594, 585, 922, 2360, 593, 10307, 563, 5278, 2090, 5815, 602, 661, 24774, 294, 666, 2333, 3170, 16617, 543, 1648, 18820, 267, 5732, 12018, 519, 1560, 779, 3002, 2504, 563, 4913, 267, 519, 2949, 1764, 540, 891, 25168, 1156, 11169, 593, 9023, 568, 1869, 513, 1641, 540, 5571, 1382, 563, 24292, 21126, 593, 21281, 543, 15346, 532, 454, 19741, 519, 3621, 7706, 267, 519, 3661, 538, 7401, 779, 9023, 3601, 568, 7184, 3824, 11712, 538, 1585, 4529, 563, 1103, 2477, 899, 3127, 543, 3624, 267, 1141, 3905, 7401, 568, 513, 20013, 267, 1004, 1419, 4782, 3636, 16098, 1256, 538, 2220, 601, 18146, 4365, 563, 763, 2686, 13613, 547, 7401, 607, 513, 9023, 8665, 9356, 519, 4276, 1063, 10444, 2833, 267, 5389, 267, 543, 519, 1560, 779, 3210, 547, 2837, 2242, 563, 15463, 4472, 1855, 553, 543, 15346, 532, 454, 2005, 779, 4502, 15663, 602, 711, 782, 29225, 616, 2813, 3160, 950, 621, 2501, 547, 9023, 2360, 563, 15463, 4472, 29225, 267, 799, 616, 14933, 6954, 543, 1419, 10057, 693, 2539, 5210, 267, 1522, 723, 513, 1114, 1764, 593, 519, 1560, 779, 22243, 3467, 326, 1637, 563, 28808, 19263, 899, 20511, 543, 9106, 558, 850, 267, 4122, 1336, 538, 16909, 29225, 267, 616, 1634, 585, 741, 24253, 543, 22196, 3601, 267, 4946, 547, 519, 8226, 540, 9023, 563, 763, 10281, 1674, 16748, 454, 4407, 519, 9023, 14815, 689, 3905, 7401, 568, 6766, 676, 519, 1560, 779, 12214, 6114, 267, 621, 779, 2629, 547, 11168, 519, 2956, 540, 20697, 563, 32381, 540, 519, 2837, 540, 519, 20892, 267, 9363, 18113, 19872, 568, 1898, 585, 2949, 1134, 5630, 543, 2837, 7939, 563, 1103, 3932, 267, 519, 2856, 602, 7401, 666, 3579, 596, 1524, 568, 711, 8806, 513, 2686, 7242, 855, 568, 16135, 538, 519, 1560, 779, 6946, 3210, 547, 2837, 2242, 563, 763, 3355, 4473, 538, 4835, 2837, 3361, 676, 10438, 3905, 7401, 12153, 513, 22107, 1228, 540, 12214, 6547, 267, 1519, 2799, 17570, 2504, 543, 21729, 617, 7976, 267, 7700, 547, 513, 9228, 9023, 1198, 563, 12234, 267, 519, 4527, 540, 25168, 1156, 11169, 538, 7401, 543, 519, 2686, 2853, 4478, 922, 4616, 2417, 1039, 3178, 547, 519, 3661, 538, 7401, 607, 513, 9023, 20892, 563, 4407, 2257, 7028, 519, 10206, 540, 7401, 1802, 1424, 513, 9023, 14815, 267, 1367, 7375, 267, 2686, 2853, 267, 543, 519, 1826, 540, 7401, 10057, 782, 1404, 5107, 538, 5935, 713, 8226, 563, 27407, 267, 2436, 596, 1265, 24176, 538, 513, 2848, 5446, 7484, 540, 7401, 593, 513, 3905, 1554, 568, 513, 2123, 3903, 267, 11461, 676, 1312, 3621, 543, 2686, 5389, 563, 21132, 6866, 2254, 974, 520, 830, 2593, 3112, 543, 1281, 711, 2270, 2564, 270, 8234, 5796, 269, 634, 2564, 270, 8234, 1344, 568, 3177, 585, 2489, 543, 3872, 5301, 1152, 543, 568, 711, 513, 12990, 585, 3318, 5796, 269, 0, 1692, 666, 513, 16027, 917, 585, 2386, 602, 519, 2244, 789, 960, 593, 568, 2731, 741, 338, 888, 1103, 930, 2665, 2244, 25963, 6560, 547, 6961, 9562, 1107, 543, 713, 666, 1291, 547, 24515, 936, 2244, 563, 1103, 19168, 267, 585, 1383, 267, 1472, 476, 1015, 260, 540, 1507, 14516, 6705, 616, 2219, 711, 547, 723, 1022, 15149, 25643, 741, 9562, 2924, 563, 288, 10509, 2754, 8092, 332, 1952, 568, 3843, 547, 4194, 519, 1966, 609, 513, 5985, 3760, 602, 3096, 15870, 547, 4786, 543, 5619, 1507, 14516, 6705, 563, 293, 1301, 619, 1287, 4309, 513, 14468, 1544, 540, 519, 2244, 543, 2244, 26022, 12319, 9896, 676, 519, 5619, 528, 267, 8783, 338, 543, 1164, 5480, 269, 0, 10267, 9535, 4934, 634, 6356, 4369, 2986, 22387, 1155, 20509, 19204, 267, 5843, 20509, 19204, 267, 1656, 29502, 20509, 19204, 454, 2691, 621, 2501, 547, 12719, 2604, 543, 2597, 538, 1507, 3156, 267, 20538, 4452, 2281, 267, 2890, 4452, 2281, 267, 543, 7735, 4452, 2281, 1131, 581, 519, 5667, 2426, 3197, 269, 1452, 1360, 1507, 2705, 3532, 22572, 616, 2966, 547, 1683, 5730, 2604, 10155, 538, 3908, 5624, 269, 769, 713, 2022, 267, 649, 4927, 1413, 883, 519, 5759, 540, 20538, 4452, 2281, 267, 2890, 4452, 2281, 267, 543, 7735, 4452, 2281, 607, 1134, 607, 741, 3156, 538, 1585, 9922, 563, 763, 21253, 2225, 2986, 22387, 1155, 20509, 19204, 454, 300, 7236, 1155, 4452, 2281, 616, 1507, 2604, 22572, 602, 2709, 5140, 8112, 538, 2604, 10155, 269, 1452, 22572, 616, 2966, 547, 3761, 5730, 543, 6325, 7516, 4352, 30939, 8766, 2230, 269, 4256, 2370, 7516, 1797, 789, 616, 5078, 585, 3156, 538, 799, 7516, 7687, 610, 2597, 7687, 616, 2629, 3344, 1107, 13195, 615, 4452, 1591, 563, 32381, 540, 741, 2370, 11640, 267, 20538, 4452, 2281, 4183, 5863, 2773, 4162, 269, 1358, 1223, 2268, 3123, 4358, 689, 1896, 10101, 547, 513, 1906, 476, 1911, 13532, 267, 1759, 593, 519, 1808, 1587, 269, 901, 3376, 2604, 5044, 2636, 585, 513, 3376, 3099, 540, 3156, 267, 799, 2882, 2564, 2472, 267, 17562, 267, 23825, 267, 12957, 267, 543, 16669, 4255, 563, 300, 7236, 1155, 4452, 2281, 616, 6353, 676, 741, 5140, 5276, 640, 267, 10956, 1464, 267, 543, 1970, 1219, 3005, 269, 1358, 1683, 8101, 8856, 538, 2604, 10155, 267, 1818, 2386, 6325, 543, 3169, 1239, 269, 769, 1840, 267, 789, 616, 2356, 2966, 609, 3252, 899, 4430, 3106, 543, 4187, 547, 1604, 3344, 267, 799, 2306, 873, 3617, 585, 17173, 5010, 10450, 563, 763, 6356, 4369, 2986, 5843, 20509, 19204, 454, 19859, 4452, 2281, 2015, 9910, 4405, 1436, 547, 513, 2362, 1377, 267, 5356, 1256, 4130, 21092, 7403, 543, 2362, 3348, 529, 8864, 269, 1452, 22572, 616, 2966, 547, 2268, 8792, 3123, 609, 5140, 8856, 543, 10727, 269, 4256, 2370, 7516, 543, 8417, 1118, 2386, 789, 616, 5078, 585, 3156, 602, 991, 3169, 2604, 10155, 538, 11658, 5624, 610, 17866, 2553, 563, 32381, 540, 741, 11527, 5737, 7516, 267, 2890, 4452, 2281, 3761, 5863, 2773, 269, 1358, 1223, 2268, 3123, 538, 519, 30162, 540, 1896, 1984, 710, 342, 27971, 547, 930, 7008, 540, 1007, 27971, 267, 799, 2306, 873, 3617, 585, 3156, 899, 24118, 1353, 267, 1507, 268, 13681, 18352, 267, 1507, 3887, 937, 4435, 22817, 2553, 630, 300, 32209, 1070, 543, 1507, 24365, 6721, 563, 19859, 4452, 2281, 4159, 5140, 8417, 267, 28498, 873, 547, 2594, 1519, 519, 17646, 5006, 12381, 538, 2604, 269, 1358, 616, 2966, 547, 24390, 13779, 689, 3544, 3344, 899, 3002, 14726, 543, 21513, 267, 1818, 2386, 5730, 543, 11931, 7516, 269, 4256, 1507, 1374, 849, 14998, 25465, 883, 2370, 24365, 2472, 543, 2553, 267, 23478, 6225, 2604, 10155, 5759, 538, 1585, 9922, 1107, 20538, 4452, 1591, 563, 763, 3281, 716, 5071, 2986, 29502, 20509, 19204, 454, 3719, 2023, 4452, 2281, 267, 849, 5219, 547, 607, 4452, 17176, 610, 13496, 4452, 2281, 267, 616, 1808, 2604, 22572, 799, 4183, 513, 2189, 6467, 268, 11526, 1374, 269, 1452, 4452, 2281, 616, 14475, 547, 2268, 735, 4809, 3123, 610, 6266, 538, 513, 1507, 1020, 3815, 269, 1358, 949, 581, 2356, 8704, 1851, 1079, 7252, 267, 543, 849, 519, 2604, 5116, 593, 519, 6467, 568, 6027, 563, 3719, 2023, 4452, 2281, 616, 4922, 1031, 538, 3156, 899, 2326, 4255, 267, 7293, 2079, 267, 5010, 6191, 267, 543, 2604, 5464, 269, 1358, 14133, 538, 12719, 3123, 538, 11658, 5624, 610, 950, 7525, 2604, 1982, 568, 2838, 269, 4256, 1374, 2636, 585, 2241, 25465, 883, 4540, 2553, 543, 3457, 267, 23478, 6225, 2604, 10155, 5759, 1510, 9645, 19260, 563, 32381, 540, 741, 2370, 7516, 267, 7735, 4452, 2281, 2709, 8101, 8856, 543, 3348, 529, 8864, 538, 2604, 10155, 269, 1358, 949, 581, 1500, 540, 3532, 7727, 547, 1796, 909, 547, 2597, 344, 6266, 543, 3761, 6325, 7516, 936, 9450, 2053, 269, 769, 1840, 267, 7735, 4452, 2281, 616, 1419, 2966, 609, 3252, 899, 4430, 3106, 543, 4187, 547, 3544, 3344, 267, 1818, 2386, 19993, 2773, 538, 17173, 10450, 563, 3682, 31810, 1656, 22436, 454, 763, 3156, 540, 20538, 4452, 2281, 267, 2890, 4452, 2281, 267, 543, 7735, 4452, 2281, 616, 3309, 543, 9645, 269, 1452, 1507, 2604, 22572, 3605, 1982, 538, 9922, 899, 2564, 2472, 267, 17562, 267, 23825, 267, 16669, 267, 6721, 267, 543, 1353, 563, 763, 2640, 540, 891, 1507, 2604, 15392, 1949, 616, 2647, 8151, 269, 4256, 2370, 7516, 2636, 585, 25465, 883, 1507, 2472, 543, 2553, 1510, 2348, 547, 15093, 8856, 610, 2773, 269, 1358, 1683, 5730, 2604, 7516, 538, 28653, 5624, 543, 1450, 3169, 2359, 543, 5464, 540, 3123, 538, 17866, 610, 3908, 10450, 563, 20751, 519, 2564, 2361, 267, 20538, 4452, 2281, 267, 2890, 4452, 2281, 267, 543, 7735, 4452, 2281, 2972, 513, 2629, 1909, 538, 3156, 899, 14382, 12060, 267, 9647, 25660, 923, 267, 543, 27354, 22817, 1353, 269, 1358, 1450, 519, 10155, 540, 3123, 4294, 593, 2564, 2472, 267, 4217, 633, 2472, 267, 543, 15498, 762, 2472, 267, 29000, 3330, 519, 1646, 543, 5688, 5314, 540, 4299, 1268, 10391, 3435, 563, 20751, 519, 17562, 2872, 267, 891, 1507, 2604, 22572, 616, 1031, 547, 1450, 2604, 5955, 543, 2359, 538, 18951, 17680, 13827, 267, 3946, 267, 543, 1439, 13716, 832, 269, 1358, 1683, 519, 1898, 1239, 585, 11608, 547, 723, 5872, 609, 3688, 543, 10450, 267, 1818, 2386, 5730, 543, 5150, 12879, 563, 1103, 16669, 4255, 543, 6721, 267, 20538, 4452, 2281, 267, 2890, 4452, 2281, 267, 543, 7735, 4452, 2281, 616, 8246, 547, 2268, 3123, 538, 10198, 5773, 267, 2326, 4255, 267, 543, 1283, 2298, 2359, 269, 1358, 1450, 3169, 2604, 10155, 538, 9395, 5624, 543, 5351, 538, 17975, 1587, 2773, 543, 3106, 563, 1103, 1353, 543, 1646, 267, 891, 1507, 2604, 15392, 1949, 616, 2629, 538, 1585, 4876, 4610, 267, 799, 2882, 2326, 1382, 267, 2890, 19491, 16361, 267, 543, 29113, 269, 1358, 4217, 538, 5730, 2604, 10155, 538, 1507, 24365, 6901, 267, 3056, 547, 23484, 1369, 891, 5969, 1532, 523, 24674, 10459, 1107, 476, 274, 7852, 3196, 9300, 454, 763, 1507, 1374, 543, 8856, 540, 20538, 4452, 2281, 267, 2890, 4452, 2281, 267, 543, 7735, 4452, 2281, 2709, 1082, 5383, 269, 4256, 2370, 7516, 2636, 585, 25465, 883, 2230, 268, 6247, 11712, 3156, 267, 23478, 6225, 2604, 10155, 5759, 1510, 18731, 2773, 269, 1358, 1683, 5140, 5276, 640, 267, 10956, 1464, 267, 543, 8417, 267, 1818, 2386, 5730, 543, 6325, 2604, 7516, 269, 5015, 267, 741, 15006, 543, 4187, 547, 1604, 3344, 1118, 2386, 789, 616, 3617, 585, 17173, 5010, 10450, 563, 1103, 3932, 267, 20538, 4452, 2281, 267, 2890, 4452, 2281, 267, 543, 7735, 4452, 2281, 616, 11141, 23484, 538, 2604, 10155, 2413, 2029, 269, 4256, 1507, 7516, 543, 3348, 529, 8864, 1118, 2386, 789, 616, 5078, 585, 3156, 538, 799, 2230, 7687, 267, 2597, 7687, 267, 610, 17866, 2553, 616, 1898, 3344, 269, 1452, 22572, 1535, 333, 690, 13062, 3605, 9645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 15835, 2275, 15009, 531, 8818, 3337, 543, 15835, 2095, 538, 519, 27241, 1404, 606, 1271, 1909, 538, 1852, 540, 519, 12627, 2298, 538, 595, 345, 5255, 23552, 7288, 630, 290, 313, 264, 2208, 269, 589, 1305, 540, 10230, 26398, 729, 5342, 547, 1174, 519, 2360, 540, 12627, 543, 27241, 32186, 593, 519, 15835, 2275, 15009, 531, 8818, 3337, 543, 15835, 2095, 538, 513, 1507, 13339, 595, 313, 19460, 269, 634, 12627, 10047, 3928, 24132, 689, 476, 271, 547, 476, 1789, 678, 26553, 543, 519, 27241, 10047, 3928, 689, 476, 271, 547, 910, 1015, 678, 26553, 269, 589, 2518, 11191, 729, 6964, 547, 3489, 513, 5730, 1702, 540, 519, 3002, 4483, 2921, 1747, 538, 519, 3003, 19460, 269, 1323, 4977, 9819, 540, 5982, 5385, 1063, 1114, 7252, 538, 519, 19460, 729, 5645, 856, 609, 519, 13429, 540, 27556, 7252, 543, 609, 519, 946, 540, 513, 9763, 543, 6456, 851, 5690, 269, 589, 13113, 1852, 4320, 1505, 267, 1927, 609, 513, 3818, 1532, 6674, 4480, 267, 729, 4294, 547, 5173, 519, 8143, 2361, 538, 4396, 11890, 543, 2095, 2361, 540, 15835, 538, 519, 27241, 269, 634, 3337, 540, 519, 15835, 2275, 15009, 531, 8818, 543, 519, 22865, 1379, 540, 519, 19460, 616, 4632, 540, 519, 1966, 543, 941, 6913, 676, 27952, 5773, 269, 634, 26398, 7000, 602, 519, 12627, 543, 27241, 32186, 1860, 519, 15835, 2095, 543, 15835, 2275, 15009, 531, 8818, 3337, 563, 31871, 540, 3817, 1475, 279, 2008, 347, 26397, 4567, 1475, 13775, 910, 5463, 476, 272, 476, 1220, 274, 2008, 5472, 3163, 4750, 19032, 630, 3008, 297, 290, 264, 9479, 454, 268, 9473, 10234, 17460, 8212, 454, 268, 8447, 543, 11933, 3749, 11061, 454, 268, 5450, 1023, 543, 2353, 9081, 454, 268, 10049, 11061, 0, 2467, 616, 513, 1297, 540, 10399, 602, 1860, 1114, 3344, 540, 938, 14920, 2443, 689, 4638, 1646, 547, 12093, 547, 3023, 5397, 543, 4606, 540, 804, 4923, 612, 1310, 3023, 269, 1452, 10399, 616, 5594, 1114, 1063, 2367, 543, 2021, 269, 18320, 1419, 267, 891, 3604, 1205, 27105, 267, 799, 666, 1291, 547, 2055, 899, 267, 968, 2710, 16921, 723, 21110, 9495, 610, 968, 23682, 12682, 665, 514, 568, 1946, 2021, 616, 865, 5461, 538, 3347, 267, 1318, 9495, 901, 3018, 968, 2710, 514, 685, 898, 4270, 892, 4941, 547, 14458, 519, 5013, 267, 7006, 601, 519, 14868, 543, 2626, 707, 2055, 827, 707, 986, 3101, 10399, 563, 15307, 4088, 543, 19697, 616, 3812, 676, 1312, 2021, 543, 2367, 267, 4352, 267, 607, 1034, 1004, 917, 267, 2021, 2356, 723, 2362, 2157, 540, 21110, 267, 2367, 2362, 2157, 540, 19697, 269, 1452, 10399, 4217, 538, 519, 1646, 540, 6281, 3023, 4162, 630, 7945, 607, 1435, 545, 610, 11132, 4552, 267, 6089, 1646, 610, 29947, 540, 519, 5639, 1040, 769, 1840, 267, 21110, 814, 1082, 3252, 602, 1860, 519, 18492, 4783, 267, 543, 19697, 568, 4448, 547, 4638, 5397, 269, 898, 779, 1271, 547, 3314, 602, 1175, 1317, 2367, 723, 2362, 2157, 540, 19697, 267, 621, 3085, 1406, 1611, 789, 31127, 723, 2362, 3023, 11479, 982, 2021, 269, 898, 1223, 581, 602, 2021, 798, 711, 991, 607, 1454, 19697, 547, 1205, 519, 1482, 1198, 689, 519, 9449, 563, 24464, 21763, 547, 595, 3291, 548, 454, 13146, 1382, 814, 512, 719, 539, 3404, 12682, 665, 514, 543, 21729, 641, 816, 514, 607, 6292, 1532, 1180, 532, 10399, 267, 855, 891, 10399, 723, 1082, 1114, 3252, 269, 7621, 12682, 665, 514, 814, 1655, 1044, 1634, 585, 922, 1909, 538, 12093, 282, 621, 568, 5950, 1282, 4074, 543, 20418, 269, 1656, 21729, 641, 816, 514, 21560, 519, 1560, 779, 12802, 540, 1216, 269, 1809, 1382, 814, 4857, 519, 1909, 540, 1312, 3404, 12682, 665, 514, 543, 21729, 641, 816, 514, 538, 1514, 5615, 602, 1860, 3344, 540, 14920, 281, 4606, 540, 16345, 267, 3972, 267, 3354, 267, 4638, 3210, 267, 6568, 543, 804, 4923, 612, 547, 513, 4638, 7649, 269, 1452, 10399, 616, 1360, 2147, 543, 5950, 1282, 4638, 3210, 267, 4352, 741, 1950, 1909, 568, 711, 17046, 563, 4407, 519, 2360, 540, 891, 10399, 616, 1336, 547, 581, 2147, 538, 1312, 28486, 267, 811, 1382, 814, 1044, 2944, 593, 2021, 269, 9012, 19093, 4043, 547, 5031, 519, 968, 322, 3291, 548, 892, 9449, 607, 621, 12211, 547, 2021, 267, 711, 2367, 269, 901, 5012, 547, 25749, 543, 3765, 24483, 269, 11835, 4862, 513, 11347, 689, 519, 7826, 5132, 538, 22943, 2299, 2995, 513, 1895, 540, 2852, 1053, 602, 15958, 7875, 566, 1223, 2014, 3404, 12682, 665, 514, 2443, 799, 789, 3989, 607, 938, 31026, 527, 585, 16345, 543, 25055, 2443, 547, 968, 14725, 856, 2223, 2094, 938, 4703, 1152, 3132, 513, 13113, 2179, 269, 901, 568, 9090, 711, 8547, 538, 2257, 256, 5637, 540, 891, 616, 711, 27940, 28175, 1479, 8942, 547, 1852, 610, 3337, 938, 14920, 676, 25194, 891, 10372, 607, 968, 11499, 892, 610, 968, 6798, 1670, 3034, 4407, 621, 779, 1390, 547, 1174, 938, 7350, 543, 875, 10399, 1860, 721, 267, 649, 723, 547, 581, 2386, 711, 547, 6336, 8289, 540, 519, 2470, 5288, 269, 20741, 7613, 269, 5637, 540, 721, 723, 6157, 14437, 547, 2367, 945, 1185, 1360, 1970, 3023, 11479, 267, 855, 609, 3339, 2157, 540, 19697, 269, 17957, 267, 649, 4076, 1634, 7899, 540, 2021, 945, 723, 16180, 3023, 855, 5749, 1406, 538, 519, 7099, 547, 1225, 331, 909, 543, 22090, 704, 6653, 711, 327, 902, 883, 741, 7649, 779, 1274, 1310, 610, 326, 11047, 269, 4317, 1436, 267, 10399, 543, 824, 2175, 602, 1860, 938, 2790, 1533, 630, 24119, 1833, 267, 4160, 267, 3092, 4700, 849, 723, 606, 1198, 593, 938, 14920, 563, 1103, 513, 2428, 9917, 961, 267, 938, 14920, 568, 513, 1950, 4999, 540, 6211, 267, 1514, 267, 5289, 267, 2168, 267, 2686, 543, 14375, 2188, 630, 663, 649, 949, 723, 14406, 930, 1040, 4197, 891, 1585, 7506, 3947, 721, 3152, 1620, 540, 945, 649, 616, 607, 4638, 7919, 269, 1284, 1590, 849, 1832, 538, 2247, 602, 267, 1247, 2257, 11008, 3278, 543, 2489, 3278, 267, 693, 519, 1439, 540, 519, 1554, 649, 2461, 782, 2043, 267, 543, 938, 4638, 2729, 616, 607, 2189, 607, 824, 3344, 540, 945, 649, 616, 269, 901, 19595, 721, 547, 1451, 827, 543, 2972, 6000, 543, 938, 7649, 4433, 1070, 9301, 602, 945, 649, 616, 16770, 949, 581, 1360, 1114, 689, 1018, 649, 2503, 256, 901, 1281, 711, 1118, 721, 9490, 610, 1114, 267, 1175, 1480, 563, 1103, 938, 2063, 6241, 267, 968, 4415, 13783, 2060, 9526, 531, 2223, 538, 519, 2904, 476, 2767, 3390, 540, 18388, 267, 649, 19451, 569, 4330, 519, 11733, 1505, 540, 4332, 1852, 607, 1519, 2921, 1560, 2837, 543, 9477, 17818, 29935, 269, 1284, 1058, 723, 2854, 968, 325, 19910, 4656, 2409, 892, 3079, 269, 634, 11733, 1505, 12926, 1152, 18252, 11706, 2395, 547, 3589, 28284, 267, 1247, 12680, 4656, 2409, 6451, 9477, 2789, 1560, 4191, 547, 3313, 950, 513, 2021, 568, 1034, 15417, 269, 11289, 596, 547, 938, 15813, 5467, 267, 570, 26474, 267, 585, 15738, 713, 856, 2336, 13425, 721, 856, 1985, 3018, 607, 649, 2626, 1776, 5467, 2243, 827, 890, 21794, 563, 11854, 752, 24505, 568, 513, 24139, 267, 25251, 267, 19574, 267, 15594, 267, 24343, 2021, 779, 6965, 543, 9275, 2262, 1895, 23032, 676, 634, 24505, 4741, 269, 15012, 873, 547, 24917, 707, 1603, 1983, 538, 513, 2922, 267, 11215, 1604, 269, 6787, 596, 2461, 513, 3370, 5856, 610, 596, 4076, 2760, 2854, 1354, 267, 596, 2461, 10950, 547, 6443, 873, 2336, 306, 1495, 599, 4873, 476, 1724, 476, 274, 268, 276, 533, 6230, 563, 10387, 841, 18078, 17106, 11333, 3820, 610, 4757, 11333, 2593, 585, 811, 1344, 563, 13825, 1299, 17664, 5660, 782, 519, 8292, 789, 723, 4607, 827, 741, 2487, 9587, 256, 5901, 11488, 721, 707, 2055, 543, 5955, 547, 18078, 17106, 11333, 3820, 269, 0, 26123, 303, 1137, 2593, 910, 2201, 4989, 476, 277, 267, 476, 15171, 271, 267, 519, 16672, 540, 1488, 15842, 987, 729, 31751, 543, 2366, 267, 538, 519, 1106, 540, 513, 4484, 547, 15352, 3627, 30619, 2862, 563, 763, 3561, 2854, 538, 5824, 267, 32141, 10430, 779, 7115, 543, 519, 1318, 547, 9718, 9887, 952, 16091, 563, 5719, 743, 9653, 540, 1488, 15842, 987, 267, 476, 15171, 271, 454, 308, 526, 16040, 267, 519, 16672, 540, 1488, 15842, 987, 568, 519, 1034, 4583, 3561, 538, 13677, 1686, 1373, 513, 851, 540, 6626, 20320, 5859, 799, 8179, 547, 7682, 10430, 781, 2990, 607, 606, 4830, 10806, 267, 2864, 982, 1373, 513, 32540, 2244, 6417, 676, 4789, 781, 22374, 15438, 267, 607, 1134, 607, 12740, 519, 608, 23890, 540, 7917, 519, 23745, 945, 23689, 1010, 6574, 15180, 585, 519, 13862, 267, 11184, 3627, 1290, 2106, 540, 14068, 523, 5255, 1354, 519, 26749, 538, 27578, 325, 686, 1513, 5783, 538, 667, 636, 325, 1845, 538, 476, 9873, 277, 563, 763, 16672, 1500, 513, 1297, 540, 17720, 2798, 912, 7474, 10430, 1185, 2141, 1044, 4830, 267, 8197, 585, 3476, 982, 4789, 3248, 7474, 11977, 594, 540, 4789, 1185, 24407, 569, 16091, 10430, 543, 10419, 3603, 32012, 885, 3248, 7474, 7917, 519, 23745, 1185, 9447, 519, 13677, 4182, 689, 713, 829, 559, 282, 543, 267, 1034, 7946, 6053, 2676, 7474, 519, 7115, 540, 10430, 729, 519, 840, 5766, 894, 540, 519, 13677, 1004, 267, 2864, 982, 519, 3751, 540, 29703, 563, 1103, 1249, 621, 7150, 602, 519, 28665, 1131, 3442, 2576, 3116, 547, 581, 4622, 952, 23745, 9863, 547, 581, 4652, 527, 538, 4509, 10430, 781, 7115, 563, 2005, 814, 849, 1044, 11130, 602, 519, 16672, 729, 711, 513, 3948, 540, 2442, 16285, 855, 513, 3948, 540, 10424, 18259, 5885, 23745, 781, 1249, 542, 563, 763, 1034, 1271, 21291, 538, 519, 1257, 267, 593, 519, 2470, 540, 15438, 267, 8719, 3909, 27742, 609, 2797, 3283, 563, 763, 10206, 602, 741, 4622, 729, 10143, 569, 26017, 910, 729, 9247, 15653, 269, 5502, 267, 646, 729, 6074, 538, 513, 2797, 957, 676, 519, 1004, 267, 945, 1223, 1175, 607, 3362, 3442, 1776, 563, 2005, 568, 1767, 602, 519, 17083, 779, 3741, 723, 6273, 519, 1977, 16672, 540, 14412, 269, 0, 763, 2376, 568, 827, 1079, 2834, 2081, 547, 1265, 1804, 6119, 593, 5672, 5308, 269, 898, 786, 581, 3730, 547, 3755, 945, 1616, 547, 1265, 30694, 6054, 610, 3292, 602, 1491, 909, 2230, 593, 513, 15291, 269, 1411, 786, 849, 991, 5528, 952, 596, 917, 585, 2386, 602, 596, 723, 513, 1804, 3758, 267, 855, 1810, 1406, 3314, 1018, 621, 568, 1572, 543, 1141, 621, 6013, 563, 272, 264, 769, 519, 10624, 3046, 267, 4945, 519, 11197, 12835, 3436, 6168, 901, 5839, 267, 2824, 19554, 267, 1287, 28509, 563, 273, 264, 769, 519, 19554, 5004, 6885, 267, 593, 519, 2451, 2427, 10624, 267, 2824, 519, 26671, 7121, 563, 274, 264, 8437, 593, 519, 14066, 28567, 9184, 563, 24127, 6119, 786, 581, 15044, 676, 2450, 267, 693, 519, 1283, 540, 519, 1592, 1107, 519, 4102, 269, 1411, 666, 849, 4990, 6119, 676, 2012, 267, 3758, 1826, 267, 543, 2063, 1031, 4266, 563, 2414, 18419, 513, 3758, 267, 29964, 936, 519, 3758, 267, 1287, 4945, 593, 519, 3444, 602, 5526, 269, 4762, 3305, 519, 32280, 538, 519, 1402, 5346, 6885, 563, 23804, 14066, 28567, 4635, 4855, 518, 454, 2252, 596, 616, 3168, 585, 513, 3758, 540, 513, 1808, 2450, 267, 946, 519, 4855, 518, 3406, 269, 7046, 4855, 518, 267, 538, 519, 2427, 10624, 593, 519, 2451, 267, 2824, 513, 1747, 267, 585, 1383, 267, 968, 1607, 5839, 9731, 272, 264, 769, 519, 4855, 518, 6885, 267, 4945, 11711, 3436, 4855, 563, 273, 264, 2311, 519, 1283, 540, 519, 6885, 267, 2824, 513, 3406, 4087, 267, 971, 607, 901, 5839, 563, 274, 264, 8437, 519, 7132, 1129, 547, 519, 1318, 540, 16440, 563, 275, 264, 9373, 707, 3406, 7355, 563, 2414, 1265, 513, 3758, 676, 2450, 267, 2824, 11711, 12025, 538, 519, 1101, 6749, 16365, 1592, 269, 1403, 713, 9936, 568, 711, 1459, 267, 4945, 4033, 267, 1265, 519, 11711, 2450, 538, 519, 1592, 540, 6724, 267, 2638, 519, 4216, 543, 4945, 15528, 563, 276, 264, 769, 519, 3844, 6749, 16365, 1592, 267, 2824, 2859, 982, 547, 1265, 6119, 540, 513, 1978, 2450, 563, 277, 264, 769, 519, 1985, 2361, 267, 4283, 513, 1297, 267, 543, 2824, 519, 4559, 540, 6482, 1107, 22995, 267, 15406, 610, 26838, 269, 8437, 16440, 1547, 1280, 1383, 267, 4283, 476, 1911, 15406, 547, 1265, 6119, 20604, 811, 982, 476, 1911, 19251, 17879, 5052, 563, 288 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1108, 269, 476, 8687, 281, 476, 1704, 268, 3953, 269, 8281, 7300, 454, 290, 2086, 10428, 267, 623, 10422, 14389, 1421, 661, 269, 5664, 2023, 267, 918, 12282, 269, 774, 727, 267, 681, 12171, 269, 918, 758, 3315, 267, 918, 12171, 269, 13535, 655, 332, 5341, 267, 667, 269, 20698, 5557, 3626, 267, 918, 269, 8734, 1157, 267, 543, 715, 6993, 269, 19839, 8688, 269, 476, 1001, 273, 269, 661, 302, 268, 272, 15214, 542, 14484, 766, 5384, 10022, 693, 2836, 12299, 543, 4406, 9179, 26317, 281, 853, 1464, 543, 11576, 6638, 547, 17897, 531, 18868, 269, 20959, 4750, 540, 8564, 11762, 538, 11930, 3047, 17325, 725, 543, 22647, 11576, 532, 476, 277, 281, 476, 28510, 269, 23310, 7348, 6732, 454, 22261, 1157, 267, 918, 6993, 1421, 717, 14371, 269, 15576, 592, 267, 670, 10611, 269, 5062, 10111, 20321, 267, 543, 681, 269, 744, 1066, 269, 476, 1001, 273, 269, 16842, 18300, 2095, 538, 9921, 12566, 4054, 3395, 896, 11506, 2910, 273, 543, 9793, 3037, 12680, 269, 10326, 25665, 269, 476, 3953, 267, 476, 4037, 273, 268, 278, 8287, 269, 8281, 7300, 454, 302, 31381, 267, 589, 5861, 1421, 681, 269, 744, 1066, 267, 918, 6993, 269, 8734, 1157, 267, 590, 269, 26054, 549, 628, 267, 543, 717, 14371, 269, 15576, 592, 269, 476, 1001, 271, 269, 3955, 268, 2335, 783, 23223, 1464, 540, 4104, 19705, 582, 4920, 17508, 543, 922, 4539, 547, 1216, 2095, 19654, 269, 23270, 338, 476, 1724, 281, 476, 275, 2641, 1107, 476, 275, 3607, 269, 7348, 6732, 454, 13510, 1170, 541, 267, 681, 1421, 670, 9950, 269, 15579, 518, 267, 715, 269, 589, 2041, 26387, 518, 571, 267, 631, 6993, 269, 12157, 577, 267, 918, 6993, 269, 8734, 1157, 267, 623, 269, 2052, 940, 267, 918, 269, 13584, 267, 808, 269, 7395, 531, 3873, 525, 267, 715, 269, 4223, 599, 25493, 267, 717, 269, 15576, 592, 267, 681, 11482, 269, 12532, 334, 267, 543, 918, 8160, 269, 9652, 269, 476, 1220, 280, 269, 634, 16099, 2160, 4477, 545, 16239, 9866, 3569, 25957, 269, 28743, 540, 519, 1977, 25561, 1670, 5980, 476, 3445, 281, 476, 280, 4375, 1107, 476, 4817, 275, 269, 7348, 6732, 454, 22261, 1157, 267, 918, 6993, 1421, 681, 269, 744, 1066, 267, 623, 269, 853, 1195, 267, 631, 269, 590, 1664, 4275, 267, 543, 717, 14371, 269, 15576, 592, 267, 476, 1220, 280, 269, 3143, 24856, 19705, 582, 4920, 17508, 538, 1196, 11276, 2275, 20654, 766, 5638, 689, 1614, 1071, 2000, 11343, 8134, 538, 519, 590, 21750, 772, 2529, 12727, 20480, 585, 5993, 13441, 525, 269, 16581, 543, 11206, 25561, 1108, 267, 476, 14983, 281, 14983, 272, 268, 5611, 275, 269, 8281, 7300, 454, 22261, 1157, 267, 918, 6993, 1421, 681, 269, 744, 1066, 267, 623, 269, 853, 1195, 267, 808, 28629, 269, 4236, 836, 267, 631, 269, 590, 1664, 4275, 267, 543, 717, 14371, 269, 15576, 592, 269, 476, 1220, 280, 269, 634, 2078, 1063, 4704, 24588, 2932, 766, 543, 16866, 17453, 6189, 269, 25790, 538, 4826, 8249, 267, 476, 3953, 281, 3199, 279, 268, 279, 866, 8281, 7300, 454, 298, 520, 592, 717, 543, 8734, 1157, 918, 269, 476, 1220, 280, 269, 5345, 777, 582, 4920, 17508, 269, 769, 281, 22319, 661, 269, 700, 1731, 839, 267, 630, 29394, 264, 15610, 540, 769, 1633, 27347, 269, 11730, 476, 272, 267, 6032, 269, 476, 5780, 272, 268, 5780, 278, 10228, 281, 29021, 7348, 6732, 454, 1805, 1195, 7193, 267, 717, 14371, 269, 15576, 592, 267, 631, 11065, 2529, 269, 590, 1664, 4275, 267, 808, 28629, 269, 4236, 836, 267, 918, 6993, 269, 8734, 1157, 267, 670, 10611, 269, 5062, 10111, 20321, 267, 589, 5861, 269, 744, 31381, 267, 681, 269, 744, 1066, 269, 476, 1220, 279, 269, 10020, 540, 10664, 538, 8159, 3327, 3524, 652, 1674, 2059, 8733, 19588, 538, 519, 25878, 2136, 2276, 269, 6820, 7827, 10334, 267, 476, 1691, 281, 9610, 280, 268, 16318, 278, 7348, 6732, 454, 17315, 836, 808, 25286, 267, 717, 14371, 269, 15576, 592, 267, 631, 11065, 2529, 269, 590, 1664, 4275, 267, 623, 5861, 269, 853, 1195, 267, 543, 918, 269, 8734, 1157, 269, 476, 1220, 278, 269, 9484, 541, 908, 519, 2360, 540, 620, 5523, 334, 689, 10357, 14428, 903, 8344, 2242, 593, 2627, 2837, 2059, 513, 1967, 1308, 12225, 846, 638, 775, 538, 519, 25878, 2136, 2276, 269, 2983, 26491, 3194, 16707, 267, 476, 4097, 267, 700, 20969, 5400, 267, 8222, 281, 1015, 269, 9083, 280, 270, 1220, 278, 21923, 31648, 30640, 269, 7348, 6732, 454, 1805, 1195, 267, 623, 5861, 1421, 590, 269, 26054, 549, 628, 267, 589, 5861, 269, 744, 31381, 267, 661, 269, 24156, 267, 631, 11065, 2529, 269, 590, 1664, 4275, 267, 808, 25286, 269, 4236, 836, 267, 918, 6993, 269, 8734, 1157, 267, 918, 269, 8592, 523, 267, 717, 14371, 269, 15576, 592, 267, 681, 269, 744, 1066, 269, 476, 1220, 278, 269, 3657, 5117, 3327, 11378, 543, 17016, 13745, 693, 2110, 942, 10253, 286, 589, 2013, 1353, 689, 11105, 12566, 543, 2182, 6229, 7733, 1210, 20949, 268, 24978, 2079, 269, 7233, 267, 8426, 543, 5113, 267, 8222, 281, 476, 1015, 269, 9340, 272, 10768, 269, 15793, 276, 268, 19054, 271, 269, 1220, 278, 269, 28318, 4649, 269, 7348, 6732, 454, 1805, 1195, 267, 623, 1421, 717, 14371, 269, 15576, 592, 267, 631, 11065, 2529, 269, 590, 1664, 4275, 267, 808, 28629, 4236, 836, 267, 918, 6993, 269, 8734, 1157, 267, 670, 10611, 269, 5062, 10111, 20321, 267, 589, 5861, 269, 744, 31381, 267, 808, 8160, 269, 772, 324, 10964, 615, 337, 267, 670, 4149, 13690, 267, 543, 681, 269, 744, 1066, 269, 476, 1220, 277, 269, 9484, 541, 908, 519, 2360, 540, 2916, 543, 10664, 593, 19705, 582, 4920, 17508, 2059, 513, 1967, 1308, 12225, 846, 638, 775, 538, 519, 25878, 772, 2529, 269, 6820, 7827, 10334, 267, 476, 1321, 281, 476, 272, 268, 2641, 7348, 6732, 454, 1805, 1195, 267, 623, 1421, 717, 14371, 269, 15576, 592, 267, 631, 11065, 2529, 269, 590, 1664, 4275, 267, 808, 269, 962, 269, 4236, 836, 267, 918, 6993, 269, 8734, 1157, 267, 808, 8160, 269, 772, 324, 10964, 615, 337, 267, 543, 681, 269, 744, 1066, 269, 476, 1220, 277, 269, 1323, 6268, 540, 3631, 585, 15652, 532, 1196, 11276, 31809, 24578, 25979, 2121, 5117, 5385, 883, 15591, 543, 19344, 269, 16581, 543, 11206, 25561, 1108, 267, 476, 15221, 281, 476, 273, 268, 1240, 269, 7348, 6732, 454, 22261, 1157, 2073, 918, 6993, 1421, 623, 269, 595, 269, 853, 1195, 267, 717, 269, 717, 269, 15576, 592, 267, 667, 269, 590, 269, 11875, 29536, 267, 631, 269, 645, 269, 590, 269, 590, 1664, 4275, 267, 808, 269, 4236, 836, 267, 681, 269, 744, 1066, 269, 476, 1220, 275, 269, 12539, 8166, 543, 1216, 11517, 5385, 538, 513, 3636, 22465, 31922, 269, 744, 1815, 860, 807, 267, 476, 15946, 281, 28796, 268, 28638, 269, 8281, 7300, 454, 10907, 1061, 539, 1957, 538, 7233, 267, 8426, 543, 5113, 256, 13690, 1568, 609, 1071, 22052, 4243, 5981, 23951, 902, 630, 1805, 534, 5112, 772, 4700, 543, 24839, 717, 20634, 630, 8624, 3518, 807, 772, 4700, 547, 4228, 513, 2442, 5943, 585, 1620, 875, 2371, 4431, 547, 10980, 269, 7348, 6732, 454, 13775, 1957, 538, 519, 8225, 4750, 540, 11206, 3194, 256, 1912, 6185, 269, 9906, 590, 6387, 9324, 5069, 7710, 519, 28252, 540, 2870, 834, 332, 2222, 19899, 652, 725, 257, 540, 594, 1186, 13626, 22404, 547, 1174, 12566, 3529, 23640, 269, 7348, 6732, 454, 4942, 291, 2875, 25391, 784, 962, 328, 814, 6707, 1219, 2989, 337, 325, 1010, 12031, 267, 543, 786, 2253, 513, 2022, 1673, 665, 693, 519, 2160, 540, 9098, 2324, 593, 3859, 14001, 1166, 537, 637, 775, 630, 306, 9281, 1040, 5556, 337, 1846, 25391, 784, 2336, 9617, 9307, 256, 12071, 343, 322, 6847, 786, 4755, 5147, 476, 1428, 268, 2918, 2282, 715, 25005, 1633, 267, 12548, 269, 16731, 519, 1576, 3896, 547, 1265, 856, 782, 519, 8748, 4128, 1946, 2038, 4876, 3744, 4974, 2244, 5790, 4205, 1058, 6443, 721, 2336, 2005, 729, 8799, 547, 7390, 519, 17985, 308, 5870, 538, 9823, 269, 1744, 719, 13050, 547, 17985, 308, 12713, 613, 657, 31190, 585, 5356, 2038, 13282, 518, 5516, 326, 1853, 8081, 13488, 6182, 1218, 269, 661, 1162, 519, 1928, 540, 21409, 609, 1079, 1507, 1453, 2336, 2171, 18799, 519, 589, 1067, 328, 293, 12999, 2146, 585, 513, 3126, 540, 11925, 267, 1519, 519, 28697, 5870, 267, 538, 2349, 334, 4040, 2023, 269, 898, 729, 513, 1967, 267, 1256, 952, 519, 3762, 14201, 1405, 693, 8445, 2681, 269, 3367, 782, 827, 621, 593, 519, 589, 1067, 328, 293, 12999, 5816, 563, 1607, 1576, 267, 799, 3792, 1206, 513, 834, 4148, 5792, 11665, 3336, 257, 1935, 267, 11363, 519, 3498, 540, 2596, 6310, 4238, 543, 3741, 547, 1966, 6061, 543, 9781, 538, 519, 2825, 9443, 269, 769, 519, 1101, 3791, 540, 519, 1576, 267, 3156, 786, 581, 6537, 689, 513, 2689, 540, 11810, 269, 1280, 519, 14230, 540, 519, 1576, 267, 3156, 786, 581, 6537, 689, 513, 5619, 540, 11186, 4834, 267, 1519, 8723, 11186, 4834, 267, 1949, 540, 4834, 267, 543, 9864, 11186, 4834, 269, 5637, 10763, 543, 10230, 3070, 2553, 786, 581, 5941, 267, 543, 1053, 786, 1685, 9273, 676, 1688, 543, 609, 519, 6351, 540, 2079, 3292, 899, 4223, 11490, 320, 543, 4223, 24248, 269, 7348, 11930, 4569, 585, 7025, 3163, 28924, 16086, 1934, 563, 1607, 2361, 25673, 1576, 11363, 8733, 267, 12214, 267, 543, 2168, 2188, 602, 3313, 4104, 5117, 2497, 543, 1599, 269, 4841, 849, 2263, 519, 3119, 2591, 6849, 4104, 9946, 630, 21504, 267, 4357, 267, 543, 15726, 302, 264, 538, 8828, 18518, 543, 3564, 269, 7348, 519, 21038, 1934, 563, 1607, 1362, 11363, 3742, 19543, 543, 1909, 25178, 532, 2994, 547, 2743, 1576, 6859, 5532, 547, 5274, 910, 5113, 29568, 543, 28620, 267, 7025, 17402, 267, 543, 8889, 13088, 543, 10298, 269, 898, 781, 835, 540, 1082, 6810, 540, 661, 8146, 267, 799, 568, 513, 2838, 1576, 585, 1034, 9501, 12788, 896, 6588, 706, 919, 269, 3733, 3296, 568, 9244, 5059, 593, 2916, 1689, 2257, 267, 5222, 267, 3609, 267, 543, 3435, 269, 7348, 519, 661, 8146, 21038, 1934, 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 ]
[ 267, 8754, 267, 585, 5329, 519, 1065, 14601, 3196, 2547, 6383, 676, 519, 16345, 8424, 1472, 519, 3844, 11046, 267, 2910, 273, 4203, 2231, 519, 5276, 7636, 9511, 610, 3337, 563, 763, 6475, 9511, 585, 2910, 273, 568, 849, 5276, 269, 4595, 267, 519, 3844, 12539, 630, 290, 264, 11046, 568, 11303, 676, 476, 273, 4525, 540, 6475, 5860, 267, 2687, 547, 966, 306, 7968, 305, 3069, 267, 968, 1492, 5021, 3845, 1079, 4525, 540, 6475, 5860, 666, 1205, 2476, 689, 3413, 3581, 513, 9511, 1572, 12430, 9731, 2171, 666, 849, 1265, 519, 6475, 543, 7636, 9511, 540, 2910, 273, 1210, 519, 589, 311, 301, 1505, 543, 966, 306, 7968, 305, 5750, 563, 288, 311, 301, 568, 513, 2241, 4542, 602, 4564, 519, 1297, 540, 519, 27433, 11046, 543, 19157, 6292, 593, 519, 3844, 11046, 547, 3589, 519, 3337, 540, 519, 11140, 1210, 519, 966, 306, 7968, 305, 5750, 563, 6097, 547, 589, 311, 301, 1505, 8894, 268, 589, 4564, 519, 3844, 11046, 563, 268, 2473, 4564, 519, 27433, 6292, 540, 9211, 547, 519, 3844, 11046, 563, 268, 715, 4564, 519, 19157, 6292, 540, 9211, 593, 519, 3844, 11046, 454, 288, 311, 301, 10035, 585, 2910, 273, 11140, 912, 268, 589, 18575, 519, 3844, 11046, 267, 865, 267, 3327, 568, 519, 3844, 11046, 538, 2910, 273, 11140, 589, 815, 12539, 454, 268, 2473, 18575, 519, 27433, 8444, 547, 519, 3844, 11046, 267, 12539, 568, 27433, 609, 1079, 5135, 8444, 269, 4475, 267, 2473, 815, 476, 273, 454, 268, 715, 4564, 519, 19157, 6292, 593, 519, 3844, 11046, 267, 607, 829, 519, 2910, 273, 682, 342, 529, 2497, 267, 519, 3327, 3844, 11046, 814, 4642, 19157, 6292, 269, 9747, 267, 715, 815, 476, 271, 454, 3383, 267, 519, 589, 311, 301, 13598, 4542, 585, 519, 2910, 273, 11140, 3587, 589, 311, 273, 301, 271, 610, 589, 311, 273, 563, 6097, 547, 519, 966, 306, 7968, 305, 5750, 267, 952, 1022, 11140, 814, 519, 589, 311, 273, 4542, 1287, 519, 11140, 9511, 540, 602, 11140, 568, 5276, 543, 6475, 9511, 568, 849, 5276, 563, 16100, 693, 519, 966, 306, 7968, 305, 5750, 2630, 547, 2312, 707, 22027, 563, 763, 966, 306, 7968, 305, 5750, 25495, 602, 519, 7636, 9511, 610, 3337, 540, 513, 11140, 609, 606, 589, 311, 273, 13598, 4542, 568, 9838, 547, 922, 6475, 6292, 9511, 1775, 4318, 1421, 5276, 267, 607, 649, 2907, 7074, 1524, 585, 3327, 8166, 630, 4596, 273, 1916, 20812, 8455, 1436, 540, 2910, 273, 454, 763, 3844, 3327, 538, 519, 2910, 273, 11140, 568, 838, 10316, 1242, 269, 634, 5907, 12122, 540, 595, 568, 476, 272, 338, 2420, 338, 2420, 335, 273, 799, 3112, 18481, 1106, 7554, 609, 5135, 8444, 563, 3383, 267, 835, 476, 273, 338, 6475, 540, 3327, 10593, 547, 513, 476, 273, 335, 20771, 269, 634, 32447, 7387, 12122, 3587, 476, 273, 338, 1321, 29210, 1321, 6853, 1321, 335, 345, 272, 269, 634, 476, 273, 338, 543, 476, 273, 29210, 20771, 9192, 547, 1106, 476, 273, 838, 10316, 10739, 1023, 1247, 519, 7510, 543, 533, 345, 10739, 1023, 3251, 796, 1506, 8455, 1242, 563, 3519, 14287, 267, 744, 814, 606, 5907, 12122, 540, 476, 272, 338, 2420, 338, 2420, 335, 275, 269, 898, 849, 10316, 3278, 676, 1210, 922, 476, 273, 338, 543, 1079, 540, 519, 1614, 476, 273, 335, 10739, 1023, 547, 1106, 1614, 838, 273, 10316, 10739, 1023, 563, 763, 533, 345, 20771, 538, 2910, 273, 13978, 796, 1506, 8455, 1242, 269, 5565, 838, 273, 10316, 10739, 1023, 540, 5135, 1142, 723, 513, 19157, 6292, 540, 9211, 799, 2408, 607, 796, 1532, 1180, 539, 8424, 593, 1142, 744, 11046, 538, 2910, 273, 563, 23682, 4723, 3096, 519, 3791, 838, 273, 10316, 20771, 547, 1106, 513, 29178, 6125, 609, 595, 1247, 519, 796, 1506, 8455, 1242, 533, 345, 20771, 540, 744, 3029, 513, 14039, 6125, 609, 519, 533, 20771, 540, 595, 563, 2467, 616, 1079, 29178, 7554, 543, 1079, 14039, 7554, 538, 2910, 273, 799, 16881, 519, 27101, 11460, 543, 5276, 9511, 540, 519, 11140, 2417, 27479, 532, 519, 1875, 1790, 6897, 2470, 540, 3327, 8166, 563, 763, 6125, 5086, 540, 2910, 273, 454, 4596, 273, 814, 513, 6125, 5086, 540, 476, 5197, 23263, 269, 769, 2910, 273, 267, 519, 3327, 630, 290, 264, 3844, 11046, 814, 1100, 19157, 6292, 543, 568, 7923, 547, 1079, 5135, 630, 302, 264, 8444, 269, 4475, 267, 1100, 23673, 4386, 1472, 519, 3844, 11046, 799, 2306, 621, 5276, 538, 3337, 602, 814, 513, 6125, 5086, 540, 476, 5197, 23263, 563, 2026, 649, 2907, 5941, 519, 11140, 630, 4596, 273, 264, 568, 606, 589, 311, 273, 1826, 11140, 269, 4340, 547, 966, 306, 7968, 305, 267, 519, 589, 311, 273, 1826, 11140, 814, 513, 5276, 3337, 19752, 602, 782, 519, 27433, 8444, 9114, 538, 513, 2786, 1899, 3976, 789, 1106, 513, 8994, 6125, 5086, 540, 476, 5197, 4113, 563, 9827, 2638, 18737, 1215, 547, 1265, 6125, 5086, 888, 27793, 8166, 8701, 640, 281, 1772, 2910, 273, 8701, 610, 1875, 335, 6897, 888, 11039, 267, 649, 917, 519, 8701, 11140, 814, 930, 16702, 1961, 4090, 1317, 540, 21376, 3892, 540, 10997, 6466, 519, 1875, 1790, 6897, 11140, 814, 606, 3160, 3892, 540, 10997, 602, 2014, 4642, 16702, 1961, 4090, 1317, 789, 22599, 856, 1142, 824, 1813, 547, 519, 27101, 3337, 540, 519, 11140, 563, 3674, 12539, 8166, 630, 4596, 273, 264, 8701, 610, 1875, 1790, 6897, 286, 2910, 273, 568, 513, 1875, 1790, 6897, 11140, 1317, 621, 3568, 1079, 7554, 18154, 284, 302, 264, 602, 616, 11231, 1623, 5471, 29182, 269, 9603, 547, 713, 267, 519, 16702, 1961, 4090, 6383, 593, 1312, 5011, 2059, 595, 284, 302, 666, 26118, 856, 1142, 824, 1818, 621, 513, 1875, 1790, 6897, 11140, 563, 5649, 538, 1469, 24121, 1692, 1082, 19157, 8424, 616, 1459, 538, 519, 682, 342, 529, 2497, 540, 2910, 273, 888, 299, 821, 8424, 616, 1346, 6719, 607, 15956, 538, 519, 682, 342, 529, 6516, 602, 798, 711, 1491, 851, 538, 519, 5250, 540, 7554, 543, 616, 849, 1572, 1875, 321, 1180, 532, 9211, 563, 3528, 3168, 693, 519, 682, 342, 529, 2497, 540, 2910, 273, 267, 649, 1294, 972, 616, 476, 279, 12297, 9211, 616, 1459, 263, 275, 12297, 9211, 593, 1142, 5135, 1070, 799, 1797, 267, 513, 2698, 540, 476, 275, 19157, 8424, 616, 1459, 538, 519, 682, 342, 529, 2497, 540, 2910, 273, 269, 1496, 30043, 476, 273, 12297, 9211, 1797, 476, 272, 19157, 6292, 14073, 1692, 1082, 32447, 9211, 616, 2139, 585, 5373, 519, 2910, 273, 682, 342, 529, 12297, 2497, 888, 22382, 4406, 775, 6475, 2139, 585, 12539, 815, 476, 275, 454, 22382, 4406, 775, 6475, 2139, 585, 27488, 815, 476, 277, 454, 30043, 11192, 4406, 775, 6475, 2139, 585, 2910, 273, 682, 342, 529, 12297, 2497, 815, 476, 275, 1341, 476, 273, 9943, 277, 815, 476, 1626, 9211, 454, 3963, 2910, 273, 568, 1875, 1790, 6897, 888, 4596, 273, 568, 1875, 1790, 6897, 1317, 540, 922, 27101, 9511, 543, 519, 16702, 1961, 4090, 6383, 2059, 609, 519, 595, 284, 302, 6125, 849, 666, 576, 1194, 856, 1142, 824, 607, 519, 7636, 3337, 540, 2910, 273, 568, 5276, 543, 621, 814, 1975, 10316, 1436, 609, 513, 6125, 5086, 540, 476, 5197, 23263, 799, 2306, 621, 513, 3810, 27101, 11140, 563, 9827, 267, 1100, 19157, 6292, 568, 1459, 593, 519, 3844, 11046, 538, 519, 2910, 273, 682, 342, 529, 2497, 799, 2337, 547, 2057, 1253, 25344, 538, 519, 11140, 563, 3963, 519, 7636, 9511, 540, 2910, 273, 568, 5276, 888, 763, 7636, 9511, 540, 2910, 273, 568, 5276, 269, 5221, 519, 3327, 630, 290, 264, 3844, 11046, 814, 1100, 19157, 6292, 543, 568, 7923, 547, 519, 1079, 5135, 630, 302, 264, 8444, 269, 1924, 267, 972, 616, 1079, 4525, 540, 6475, 5860, 1472, 519, 3327, 3844, 11046, 267, 1759, 593, 966, 306, 7968, 305, 3069, 267, 621, 786, 10536, 5276, 7636, 9511, 563, 763, 6475, 6292, 1472, 519, 3327, 3844, 11046, 786, 1065, 601, 1142, 824, 543, 2119, 547, 979, 2484, 689, 1142, 824, 267, 789, 786, 1491, 519, 2990, 1141, 1065, 13955, 3587, 5934, 1063, 873, 563, 6097, 547, 519, 966, 306, 7968, 305, 3069, 267, 519, 3844, 11046, 609, 1079, 4525, 540, 6475, 5860, 3792, 1206, 513, 5276, 7636, 9511, 1317, 1065, 13955, 568, 5934, 538, 6475, 8424, 693, 713, 2990, 563, 17798, 267, 519, 7636, 9511, 610, 3337, 540, 2910, 273, 5526, 5276, 563, 3963, 6475, 543, 7636, 9511, 540, 2910, 273, 616, 1482, 888, 10521, 2010, 540, 9511, 666, 581, 10567, 609, 519, 948, 540, 966, 306, 7968, 305, 3069, 268, 630, 320, 1040, 5082, 1258, 9511, 630, 321, 1040, 17449, 9511, 454, 16978, 1258, 9511, 15109, 782, 9211, 16360, 1180, 532, 543, 700, 821, 6292, 9211, 264, 6466, 7636, 9511, 15109, 1152, 20607, 532, 8444, 547, 3313, 519, 9511, 540, 1022, 11140, 563, 2026, 649, 917, 267, 519, 7636, 9511, 540, 2910, 273, 568, 5276, 543, 6475, 9511, 568, 849, 5276, 563, 7712, 972, 568, 1100, 19157, 6292, 1459, 593, 519, 3844, 11046, 538, 519, 2910, 273, 682, 342, 529, 12297, 2497, 269, 4475, 267, 1312, 7636, 543, 6475, 9511, 3589, 519, 3337, 540, 2910, 273, 609, 519, 948, 540, 27433, 6292, 540, 9211, 563, 17798, 267, 519, 7636, 9511, 543, 6475, 9511, 540, 2910, 273, 568, 519, 1482, 563, 268, 5508, 273, 682, 342, 529, 2497, 543, 922, 7636, 9511, 454, 268, 670, 273, 302, 273, 682, 342, 529, 2497, 543, 922, 7636, 9511, 454, 268, 8863, 275, 682, 342, 529, 2497, 543, 922, 7636, 9511, 454, 268, 19760, 274, 682, 342, 529, 2497, 543, 922, 7636, 9511, 454, 268, 8863, 273, 302, 682, 342, 529, 2497, 543, 922, 7636, 9511, 454, 268, 595, 273, 295, 275, 11066, 2497, 543, 922, 7636, 9511, 454, 268, 11483, 273, 682, 342, 529, 2497, 543, 922, 7636, 9511, 454, 268, 8863, 273, 5141, 273, 682, 342, 529, 2497, 543, 922, 7636, 9511, 454, 268, 645, 293, 274, 682, 342, 529, 2497, 543, 922, 7636, 9511, 454, 268, 634, 2698, 32447, 6475, 2139, 585, 5373, 519, 2910, 273, 682, 342, 529, 2497, 568, 476, 1626, 563, 268, 634, 7636, 9511, 540, 2910, 273, 568, 5276, 563, 268, 769, 519, 2910, 273, 682, 342, 529, 2497, 267, 972, 568, 513, 2698, 540, 476, 275, 19157, 8424, 1459, 269, 5565, 19157, 8424, 593, 1142, 5135, 11046, 563, 268, 634, 6475, 9511, 540, 2910, 273, 568, 849, 5276, 563, 268, 634, 6125, 5086, 540, 2910, 273, 568, 476, 5197, 23263, 269, 4595, 621, 568, 5276, 538, 3337, 609, 606, 11460, 899, 602, 744, 284, 290, 284, 302, 563, 268, 5565, 2010, 540, 10316, 1436, 538, 2910, 273, 1107, 1975, 267, 543, 1975, 273, 563, 268, 634, 2121, 16702, 1961, 4090, 540, 2910, 273, 568, 4642, 563, 268, 2910, 273, 568, 513, 1875, 1790, 6897, 11140, 563, 268, 634, 2949, 6101, 5279, 538, 2910, 273, 568, 4642, 563, 10666, 519, 2278, 454, 8702, 547, 5440, 24108, 1084, 345, 267, 3733, 2012, 568, 31155, 531, 717, 5819, 269, 594, 993, 606, 11653, 267, 7998, 20131, 267, 5816, 3455, 267, 543, 13653, 540, 1283, 24108, 1084, 345, 2593, 269, 594, 6415, 513, 2257, 2520, 2131, 609, 513, 6612, 585, 1272, 9443, 543, 7998, 269, 9861, 513, 7998, 20131, 543, 2348, 513, 4110, 538, 7177, 267, 594, 917, 875, 2182, 621, 568, 547, 1451, 676, 3054, 267, 602, 568, 1946, 594, 2813, 513, 3135, 1141, 596, 666, 1265, 948, 1644, 547, 2257, 543, 7998, 1354, 3025, 3116, 269, 0, 12072, 1702, 538, 2385, 1700, 18876, 7391, 11366, 22935, 5788, 4484, 1702, 538, 2385, 1700, 18876, 2483, 8070, 593, 476, 1691, 268, 12914, 268, 1708, 271, 454, 21615, 539, 12025, 630, 29210, 994, 4131, 614, 1702, 538, 2385, 1700, 18876, 7391, 454, 27880, 7605, 1231, 3040, 31929, 7066, 27332, 3040, 12832, 1961, 14472, 2297, 454, 13775, 2228, 281, 476, 1015, 2904, 476, 1001, 274, 454, 12126, 22219, 3163, 266, 19968, 9012, 667, 867, 516, 19816, 476, 1001, 274, 454, 20082, 4804, 827, 5022, 568, 606, 1271, 5057, 540, 28928, 7924, 269, 2171, 8268, 519, 7872, 602, 2385, 4633, 2488, 1344, 827, 5022, 2676, 663, 849, 602, 1453, 779, 4633, 9356, 741, 1378, 4484, 1702, 269, 1635, 4974, 454, 935, 951, 725, 1098, 8282, 538, 8863, 6579, 291, 2464, 630, 21547, 2662, 514, 2284, 267, 476, 1220, 271, 264, 1063, 3237, 543, 454, 18244, 9907, 835, 547, 2947, 267, 649, 1336, 602, 21229, 12185, 1931, 6766, 946, 540, 967 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12187, 20253, 601, 1648, 4859, 267, 29253, 3613, 4392, 32394, 640, 568, 811, 26729, 538, 19335, 3156, 630, 324, 3052, 269, 547, 1379, 5321, 543, 13646, 1040, 769, 7622, 1379, 1949, 267, 7503, 540, 1648, 666, 849, 581, 2944, 547, 2569, 9329, 269, 1280, 1383, 267, 5214, 2339, 971, 607, 10800, 546, 2426, 543, 27253, 762, 5214, 2339, 666, 581, 10736, 547, 6915, 10420, 269, 1677, 9004, 5434, 267, 3327, 7001, 543, 4859, 568, 1287, 1031, 563, 763, 1883, 11393, 1331, 519, 5266, 1970, 24364, 3432, 609, 519, 3702, 1113, 2362, 18165, 543, 8754, 2362, 1942, 540, 519, 5397, 5721, 267, 519, 20244, 2539, 1379, 11664, 267, 519, 476, 11740, 24266, 10047, 540, 519, 7098, 1993, 11798, 1369, 519, 2842, 2095, 1282, 1142, 4783, 543, 8754, 519, 3810, 6422, 15205, 593, 519, 16405, 267, 519, 24421, 908, 18165, 6383, 676, 930, 23301, 6272, 593, 519, 5397, 5721, 267, 543, 519, 7411, 540, 20592, 519, 2842, 2095, 8308, 543, 8754, 519, 2591, 540, 30228, 543, 8888, 519, 23301, 1991, 547, 5958, 908, 513, 18634, 563, 30787, 909, 513, 3859, 3167, 1062, 568, 2653, 269, 634, 1007, 2707, 540, 1379, 786, 11753, 16900, 609, 707, 4540, 20848, 269, 18766, 689, 3936, 19112, 909, 519, 3859, 1648, 3937, 267, 972, 786, 581, 1100, 991, 547, 11028, 29664, 610, 17370, 790, 707, 1753, 269, 3776, 17008, 1331, 1896, 840, 268, 19956, 1229, 267, 26437, 1949, 585, 1312, 10821, 543, 5010, 3156, 267, 865, 972, 779, 2386, 547, 581, 1945, 602, 13352, 519, 2115, 540, 707, 1753, 610, 1870, 269, 4107, 3859, 8440, 2063, 827, 476, 1789, 1296, 267, 799, 1797, 596, 786, 1294, 519, 2640, 540, 713, 1007, 2707, 540, 1648, 585, 5756, 547, 2097, 563, 763, 2038, 1646, 540, 3859, 4066, 4358, 538, 519, 476, 5908, 271, 338, 729, 9141, 676, 606, 20772, 602, 5755, 1131, 4166, 1831, 17077, 269, 8176, 674, 761, 1206, 8704, 519, 1158, 781, 1101, 31241, 641, 25675, 3859, 5044, 267, 1210, 476, 272, 260, 268, 324, 2310, 31093, 2281, 267, 593, 513, 1715, 3840, 4975, 8122, 538, 476, 6642, 275, 269, 1717, 267, 1646, 540, 3859, 4066, 24715, 730, 538, 519, 2038, 476, 736, 628, 2540, 538, 519, 3068, 540, 519, 2810, 8244, 267, 4346, 267, 543, 10626, 540, 5755, 543, 19386, 269, 769, 476, 3192, 275, 621, 729, 6059, 602, 1152, 3670, 4357, 5321, 538, 782, 540, 3345, 3013, 941, 7357, 12699, 610, 22799, 676, 6198, 3859, 1379, 1949, 269, 634, 476, 3192, 274, 3282, 2377, 14417, 543, 476, 3192, 280, 1648, 6433, 3361, 513, 556, 32360, 540, 1648, 4507, 1472, 519, 1158, 543, 4547, 17105, 3007, 547, 3384, 3859, 4066, 269, 1546, 7877, 2994, 5059, 593, 24539, 3292, 971, 607, 519, 8549, 7353, 19661, 545, 13139, 1436, 5358, 538, 519, 2475, 543, 519, 6129, 3333, 710, 5358, 538, 3567, 269, 4033, 3646, 3769, 519, 5250, 540, 1382, 6703, 538, 519, 2136, 2276, 630, 306, 2207, 296, 267, 1631, 715, 24359, 1070, 3567, 630, 301, 3633, 302, 1070, 543, 5125, 630, 293, 571, 27541, 1700, 30990, 1040, 9737, 476, 3192, 271, 543, 476, 2735, 274, 19698, 540, 25675, 1949, 8057, 6385, 267, 855, 9991, 3282, 5777, 538, 519, 2038, 476, 2735, 271, 338, 15645, 730, 519, 2208, 540, 22425, 923, 689, 476, 2735, 275, 547, 476, 1960, 277, 563, 20360, 1379, 910, 5794, 2095, 593, 519, 3618, 781, 2627, 666, 581, 1031, 547, 7903, 18434, 267, 609, 6793, 12798, 6721, 811, 1648, 269, 4400, 268, 5306, 3363, 4609, 543, 2127, 1175, 21369, 4043, 547, 1683, 519, 1655, 2175, 585, 13830, 519, 16999, 12798, 269, 4340, 547, 513, 476, 1220, 280, 1353, 267, 513, 3060, 540, 2244, 2861, 267, 476, 273, 269, 276, 2173, 1122, 1177, 3430, 2842, 18434, 538, 6917, 2127, 5665, 693, 1175, 476, 736, 260, 540, 741, 15951, 4390, 1223, 3761, 476, 2412, 2053, 519, 1699, 5001, 4616, 540, 1648, 563, 23530, 1379, 8440, 602, 946, 29113, 267, 799, 666, 1711, 11387, 856, 540, 1367, 13339, 6675, 267, 949, 1942, 3368, 607, 1454, 607, 2757, 25675, 2281, 267, 2687, 547, 26933, 543, 9520, 3238, 538, 3384, 519, 2472, 269, 15089, 657, 6897, 814, 17956, 811, 982, 1269, 1911, 2929, 689, 9520, 547, 1628, 513, 12051, 585, 29113, 6094, 1922, 559, 332, 3859, 8440, 269, 634, 2754, 781, 2030, 814, 513, 9709, 2504, 4390, 540, 476, 25396, 19251, 1177, 30476, 8445, 1379, 540, 3859, 2281, 829, 1032, 269, 20497, 2504, 3323, 543, 1101, 8440, 723, 1044, 25855, 547, 5561, 538, 3735, 476, 1220, 278, 563, 13349, 6007, 4066, 1031, 538, 2221, 781, 1753, 14346, 1949, 1331, 267, 519, 11896, 14931, 1291, 14092, 573, 6007, 1700, 513, 9168, 4528, 540, 519, 6671, 1291, 1700, 29403, 6007, 267, 19695, 1700, 322, 611, 26606, 543, 16864, 23760, 9075, 269, 8048, 14092, 573, 9075, 616, 4867, 519, 12880, 2029, 1031, 538, 1507, 8397, 267, 10821, 14346, 1949, 267, 1813, 547, 741, 1164, 10727, 267, 1970, 1582, 11166, 543, 5092, 543, 5826, 3790, 267, 5103, 10156, 10715, 543, 2539, 1648, 5860, 269, 1717, 267, 16864, 23760, 9075, 723, 519, 1761, 547, 5372, 1291, 14092, 573, 9075, 538, 519, 2282, 2104, 267, 607, 789, 616, 1373, 703, 13208, 2919, 543, 2539, 5777, 616, 4397, 1813, 547, 11615, 540, 4336, 3177, 676, 1804, 2504, 6703, 971, 607, 519, 717, 580, 2378, 716, 800, 476, 272, 269, 769, 1840, 267, 519, 9149, 23760, 9075, 540, 11690, 2987, 3167, 6517, 949, 4196, 607, 513, 2104, 4859, 3457, 538, 513, 6174, 3562, 3766, 5090, 1062, 269, 4595, 1034, 6472, 616, 6288, 539, 606, 3328, 540, 476, 4817, 2600, 540, 519, 942, 267, 741, 9075, 1223, 581, 1031, 547, 1577, 5201, 2095, 689, 519, 1286, 547, 519, 1379, 3515, 543, 1394, 269, 4033, 22507, 762, 9075, 1031, 585, 7856, 14346, 1949, 1331, 267, 9770, 1700, 338, 5285, 584, 543, 8709, 18123, 2699, 2135, 9075, 267, 1079, 7986, 2010, 540, 513, 25183, 6070, 543, 513, 2095, 6007, 267, 6606, 563, 305, 684, 6361, 7308, 268, 18182, 32394, 640, 2371, 17589, 1648, 689, 8933, 1510, 519, 5137, 540, 513, 1804, 13111, 269, 634, 1216, 568, 3335, 24829, 2059, 519, 2427, 540, 519, 5757, 14860, 630, 6748, 9055, 267, 12992, 543, 5924, 25310, 264, 2394, 621, 568, 1164, 1657, 519, 14860, 6989, 267, 1141, 1575, 517, 621, 666, 4847, 547, 2887, 998, 513, 4050, 18450, 547, 5397, 513, 17081, 269, 901, 2511, 540, 5108, 949, 1869, 3132, 513, 1804, 2179, 540, 5201, 267, 971, 607, 519, 12751, 9478, 12456, 593, 519, 12052, 5757, 538, 519, 2136, 2276, 563, 30262, 1168, 762, 1648, 568, 1648, 602, 568, 6394, 689, 7791, 2200, 267, 799, 616, 6923, 25579, 1639, 593, 513, 1480, 2053, 7051, 267, 971, 607, 7943, 267, 2842, 267, 4764, 267, 29500, 267, 6329, 267, 543, 24232, 3002, 269, 24997, 1648, 1419, 2488, 1648, 538, 2185, 1271, 2127, 281, 5201, 5108, 267, 2011, 543, 1216, 8022, 11305, 944, 532, 267, 6283, 267, 543, 6917, 630, 4752, 3766, 5090, 264, 1648, 2533, 563, 27319, 7470, 4016, 547, 513, 1362, 540, 2029, 1004, 616, 1210, 547, 3142, 10626, 5201, 6765, 1949, 883, 519, 476, 2641, 560, 2540, 267, 1210, 2780, 2861, 6552, 1852, 543, 12957, 269, 1452, 1949, 616, 1500, 2009, 676, 1079, 17574, 2792, 2029, 543, 2780, 4393, 602, 814, 1044, 1031, 585, 5756, 538, 824, 6080, 269, 1358, 616, 4098, 547, 581, 1031, 593, 5201, 5121, 267, 689, 519, 1379, 2371, 543, 2842, 11396, 782, 519, 1259, 547, 519, 6800, 540, 5201, 538, 5321, 543, 4213, 269, 1358, 2709, 1082, 2640, 547, 20848, 543, 6800, 1765, 2865, 569, 2938, 538, 2462, 9283, 538, 1648, 4398, 593, 519, 5201, 7470, 543, 538, 519, 1648, 3755, 685, 5321, 543, 13646, 563, 763, 966, 652, 553, 966, 13932, 814, 513, 15951, 4390, 540, 476, 279, 24448, 267, 2663, 18175, 24612, 547, 476, 280, 269, 276, 24448, 269, 634, 2842, 17081, 814, 606, 2949, 4463, 540, 476, 13136, 544, 630, 278, 2420, 10264, 1070, 513, 8006, 540, 476, 13932, 544, 630, 276, 4343, 10264, 1070, 568, 585, 21369, 946, 267, 543, 568, 519, 1158, 781, 4102, 32728, 13369, 2842, 17081, 2094, 922, 4367, 538, 476, 1001, 275, 269, 634, 6671, 5397, 5721, 2874, 540, 513, 1292, 10591, 7901, 543, 513, 5420, 3432, 6751, 11718, 269, 5019, 9189, 8704, 538, 476, 1001, 275, 693, 519, 2817, 4530, 4741, 16862, 7404, 3331, 502, 3122, 843, 269, 10022, 2504, 3459, 1439, 540, 476, 1001, 276, 563, 297, 2794, 909, 9745, 13056, 684, 576, 267, 570, 269, 589, 5919, 700, 889, 6308, 267, 654, 5919, 681, 9801, 5112, 267, 589, 269, 654, 269, 630, 289, 650, 5148, 5839, 293, 22611, 2033, 267, 667, 5919, 18703, 267, 717, 269, 674, 5919, 18708, 267, 623, 5919, 715, 665, 5028, 267, 667, 269, 717, 282, 18703, 267, 8751, 589, 282, 27068, 267, 30338, 670, 282, 30738, 15120, 26619, 267, 1744, 684, 24734, 282, 962, 3019, 267, 19109, 2426, 645, 5919, 28226, 267, 674, 269, 589, 5919, 12984, 773, 548, 9749, 7288, 267, 631, 269, 681, 5919, 853, 344, 2590, 267, 590, 269, 630, 1001, 274, 1070, 834, 21328, 543, 1604, 3609, 2013, 585, 513, 2518, 1788, 593, 5841, 15591, 2580, 6052, 1299, 7025, 3163, 267, 476, 277, 630, 274, 2567, 476, 277, 4817, 1700, 277, 7176, 267, 8222, 281, 1015, 269, 9818, 280, 14727, 274, 7417, 1822, 8287, 297, 267, 2895, 1882, 689, 519, 3312, 593, 476, 1626, 4864, 476, 1001, 274, 454, 288, 10316, 1062, 10905, 630, 290, 264, 11901, 543, 595, 9915, 609, 835, 1776, 610, 609, 824, 3029, 540, 5108, 971, 607, 17088, 267, 2842, 543, 1979, 30757, 269, 634, 5916, 1106, 540, 5108, 949, 5512, 519, 1062, 547, 1110, 3634, 1379, 3977, 607, 513, 1599, 540, 3747, 610, 693, 2547, 2569, 519, 11385, 908, 2470, 540, 3859, 1379, 543, 519, 4616, 540, 1875, 7791, 4492, 269, 28628, 1949, 616, 1034, 1419, 1336, 593, 10195, 563, 20360, 3562, 268, 8527, 528, 4398, 630, 10175, 23301, 16405, 11508, 543, 8749, 264, 616, 1851, 519, 2188, 18363, 519, 3803, 3902, 540, 2842, 1379, 269, 4329, 13546, 1553, 13853, 267, 971, 607, 10591, 7901, 9271, 267, 11718, 543, 20303, 9271, 267, 2569, 519, 1379, 9447, 676, 513, 2842, 17081, 269, 1677, 2149, 3334, 689, 3768, 826, 5957, 267, 13939, 1379, 568, 4371, 3586, 1657, 519, 15951, 5665, 3432, 607, 7811, 1379, 4679, 693, 519, 13306, 540, 2842, 3432, 267, 2417, 4227, 7811, 4398, 269, 769, 476, 1220, 272, 267, 5010, 10626, 268, 8588, 18434, 5838, 476, 4037, 260, 547, 476, 3199, 260, 540, 519, 5975, 345, 3970, 540, 1379, 1349, 762, 689, 519, 2842, 267, 693, 15951, 5665, 3432, 16804, 928, 2644, 9337, 2639, 6624, 540, 519, 4102, 10512, 593, 17060, 2842, 11396, 616, 4092, 538, 519, 7330, 543, 3624, 269, 634, 717, 753, 340, 6489, 12426, 538, 3624, 814, 936, 476, 276, 267, 1822, 24448, 8704, 609, 513, 3804, 540, 476, 736, 267, 1822, 24448, 676, 476, 1708, 271, 269, 3624, 814, 1896, 824, 834, 13388, 1379, 13279, 257, 540, 2147, 2450, 269, 634, 1325, 3279, 6489, 6052, 4741, 538, 4993, 568, 519, 4102, 593, 17060, 2842, 3484, 3544, 540, 3624, 267, 609, 513, 4390, 540, 476, 9083, 271, 24448, 540, 1379, 269, 2342, 5012, 538, 519, 946, 540, 2842, 1379, 609, 3592, 476, 5780, 28047, 267, 827, 476, 5780, 2600, 540, 519, 2698, 11451, 267, 609, 16862, 538, 519, 1291, 2687, 547, 519, 2477, 8704, 829, 32728, 7534, 4390, 269, 1306, 540, 5988, 476, 1001, 273, 267, 519, 9546, 2284, 6489, 12426, 538, 2136, 8003, 568, 519, 4102, 21369, 2842, 3484, 538, 519, 1158, 693, 476, 3607, 278, 24448, 267, 4553, 676, 20537, 564, 6489, 12426, 630, 4968, 24448, 1070, 849, 538, 519, 5177, 563, 2171, 1631, 917, 602, 519, 5122, 11718, 2488, 513, 1797, 540, 1648, 7503, 1063, 519, 7344, 18165, 6383, 676, 519, 23301, 19059, 267, 1572, 519, 6305, 544, 1478, 267, 543, 930, 5122, 4452, 269, 634, 7344, 4276, 540, 519, 2842, 17081, 11718, 547, 519, 23301, 19059, 568, 1500, 998, 513, 1292, 14788, 799, 666, 581, 2901, 513, 2241, 1463, 5397, 267, 610, 676, 1210, 513, 10591, 7901, 547, 2333, 610, 6175, 519, 11718, 3432, 3448, 547, 519, 24364, 3432, 540, 519, 19059, 563, 288, 2487, 5177, 6554, 3561, 2829, 602, 834, 2889, 915, 338, 616, 3622, 811, 2693, 547, 8011, 952, 789, 723, 3376, 1857, 1489, 543, 519, 9844, 540, 2199, 2950, 269, 901, 1797, 4758, 2950, 1312, 513, 2161, 543, 513, 7196, 2668, 769, 2477, 971, 607, 5125, 543, 16862, 1082 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7617, 1007, 2959, 540, 1648, 723, 9153, 713, 1102, 4919, 8711, 519, 14232, 4066, 602, 949, 1683, 519, 4244, 1648, 2959, 540, 519, 2104, 269, 20010, 1648, 620, 1084, 1458, 4367, 476, 1015, 382, 373, 22397, 370, 26334, 910, 602, 779, 10199, 519, 2179, 540, 1648, 693, 519, 12871, 540, 513, 10340, 602, 666, 10244, 782, 519, 10071, 3859, 5982, 602, 8813, 593, 513, 4541, 689, 922, 2385, 5182, 910, 1826, 1775, 593, 519, 737, 731, 553, 515, 341, 4336, 269, 16505, 10843, 1648, 568, 8149, 547, 10115, 538, 1007, 4066, 547, 1265, 1732, 267, 811, 3608, 543, 14949, 1648, 2959, 10115, 538, 513, 3327, 1652, 2104, 269, 6820, 2104, 1648, 3575, 267, 8093, 10173, 5288, 4244, 2959, 540, 1648, 4266, 281, 476, 279, 795, 2317, 476, 1001, 277, 2278, 281, 6622, 11446, 3930, 8486, 28739, 529, 8292, 281, 476, 271, 8292, 563, 24357, 1227, 9447, 4050, 11796, 3859, 4244, 1648, 5491, 12462, 5155, 11796, 521, 13440, 14615, 1141, 513, 4050, 11796, 521, 13440, 568, 606, 5907, 15149, 9783, 676, 533, 329, 332, 575, 1846, 585, 27216, 5108, 269, 16200, 2104, 9472, 585, 7791, 1648, 2842, 267, 3859, 543, 824, 3029, 540, 7791, 1648, 1223, 581, 519, 16595, 3395, 1379, 2959, 936, 519, 1985, 1906, 5756, 269, 5240, 543, 1344, 827, 5499, 18563, 543, 2104, 2029, 563, 306, 7739, 1464, 568, 851, 540, 3388, 649, 798, 693, 24440, 649, 616, 8149, 547, 7791, 1648, 267, 3608, 4238, 267, 543, 1210, 1239, 543, 1344, 547, 948, 609, 2152, 899, 17717, 267, 936, 325, 5109, 267, 543, 2011, 5533, 269, 2290, 540, 2221, 779, 3905, 3584, 568, 9494, 1648, 2436, 596, 1489, 5710, 1963, 610, 4782, 547, 946, 8093, 10173, 267, 25137, 1648, 786, 948, 596, 4688, 2724, 602, 596, 666, 946, 585, 602, 16314, 596, 4076, 2877, 610, 519, 1007, 1286, 596, 4076, 2141, 4941, 269, 1284, 917, 938, 8093, 10173, 786, 3819, 909, 14693, 267, 865, 1018, 8925, 1648, 2959, 616, 972, 689, 2650, 345, 29090, 640, 547, 6915, 325, 3241, 13479, 267, 795, 517, 11936, 13489, 1188, 1633, 1011, 269, 5125, 814, 1500, 5458, 855, 14427, 26058, 4724, 7791, 1379, 543, 1648, 27437, 779, 1164, 1790, 878, 539, 1648, 31681, 827, 4244, 1648, 281, 563, 290, 2255, 909, 593, 519, 5767, 1412, 13582, 262, 2029, 267, 543, 4244, 1648, 3377, 24657, 269, 6052, 1344, 7245, 910, 552, 807, 910, 4013, 1648, 7194, 689, 519, 721, 2229, 269, 20010, 1648, 2959, 540, 10865, 1857, 15872, 267, 31065, 779, 7791, 1648, 2104, 267, 4371, 1063, 476, 273, 694, 4697, 476, 1220, 279, 543, 476, 275, 27362, 476, 1220, 280, 269, 6239, 2213, 1533, 20848, 5059, 593, 11615, 540, 4336, 666, 3362, 26777, 606, 4244, 2203, 476, 1960, 277, 267, 7791, 1648, 1107, 1379, 585, 513, 4264, 2104, 563, 28657, 1134, 593, 922, 1259, 547, 513, 7791, 20589, 2104, 513, 17254, 1177, 3430, 540, 2842, 1379, 982, 519, 10464, 652, 8093, 1922, 3241, 4244, 267, 547, 519, 8608, 543, 13875, 779, 6085, 269, 634, 27369, 910, 1394, 547, 1753, 513, 3327, 3454, 543, 26318, 1062, 1223, 721, 615, 538, 606, 5736, 540, 2973, 1648, 827, 519, 1699, 543, 2104, 5251, 538, 513, 26894, 269, 6052, 1646, 568, 519, 2361, 540, 2238, 1648, 5726, 568, 606, 4244, 610, 835, 5075, 540, 513, 4264, 1648, 2104, 3322, 782, 563, 5475, 7022, 1810, 12245, 25041, 1500, 1434, 593, 1010, 9153, 547, 11198, 689, 519, 1612, 529, 2916, 6876, 267, 930, 7791, 1648, 13632, 8593, 267, 607, 9520, 10924, 602, 2104, 3747, 585, 4244, 1379, 1131, 3897, 1496, 5408, 281, 476, 1015, 1648, 1696, 12028, 602, 786, 2312, 707, 25903, 316, 2943, 1648, 19767, 543, 2344, 269, 634, 7887, 1648, 2707, 540, 519, 2104, 1223, 2097, 689, 513, 3099, 540, 2959, 1451, 827, 519, 7887, 1648, 2707, 540, 519, 2104, 538, 713, 2376, 563, 21328, 6207, 616, 3056, 519, 1259, 538, 555, 16233, 779, 3728, 3395, 4244, 1648, 2872, 267, 12366, 2358, 519, 1655, 1702, 543, 2029, 547, 2731, 1118, 513, 3017, 269, 1703, 779, 513, 3395, 3747, 585, 22928, 267, 10930, 7791, 1648, 2959, 3141, 267, 2842, 267, 1216, 267, 13947, 267, 6329, 543, 29500, 267, 543, 519, 3002, 540, 519, 3037, 267, 782, 1683, 8925, 547, 1875, 3146, 2908, 762, 1648, 519, 1739, 4015, 20502, 930, 540, 519, 1034, 5863, 7791, 1648, 3785, 543, 30384, 689, 269, 24997, 1648, 1557, 476, 273, 4647, 538, 1250, 6644, 267, 519, 2104, 540, 1648, 2959, 568, 711, 1152, 7791, 1648, 267, 855, 513, 5916, 4783, 1379, 2371, 269, 0, 303, 578, 1729, 517, 3381, 1775, 2813, 547, 946, 538, 513, 1164, 1153, 4928, 621, 6941, 547, 1053, 875, 547, 1826, 267, 543, 1018, 1058, 581, 3769, 538, 267, 741, 23064, 269, 4077, 320, 17761, 2917, 476, 272, 23064, 15853, 989, 266, 968, 18872, 2729, 2339, 281, 18073, 1633, 14753, 593, 535, 31867, 517, 892, 2228, 3381, 17157, 596, 32353, 596, 32353, 267, 476, 2918, 18051, 476, 1001, 275, 269, 1323, 2254, 730, 12190, 13132, 1946, 2328, 606, 23064, 15853, 23064, 12190, 13132, 948, 3391, 707, 1382, 1184, 950, 1603, 606, 23064, 15853, 267, 596, 269, 634, 17885, 2006, 635, 996, 281, 1946, 649, 1058, 22120, 3406, 713, 3135, 12445, 23064, 15853, 546, 32713, 267, 596, 32353, 910, 2582, 6908, 269, 1215, 814, 32026, 543, 7044, 1198, 539, 519, 7521, 593, 1058, 28335, 538, 5026, 581, 3656, 606, 23064, 15853, 563, 1607, 568, 519, 23064, 15853, 540, 1250, 530, 4135, 596, 32353, 3381, 544, 1662, 1575, 269, 962, 19834, 568, 7396, 476, 274, 6113, 11451, 1631, 543, 3205, 267, 795, 337, 630, 1220, 279, 264, 7317, 6725, 1239, 7650, 267, 721, 476, 1220, 278, 267, 23064, 15853, 32406, 659, 558, 630, 1220, 280, 1070, 1283, 4609, 269, 13772, 3381, 13973, 596, 723, 1175, 1044, 2016, 606, 7084, 547, 2328, 606, 23064, 15853, 1354, 596, 2253, 267, 596, 991, 547, 917, 1018, 4010, 606, 23064, 15853, 568, 563, 2304, 2254, 730, 15853, 4245, 3917, 19834, 4528, 23064, 15853, 3992, 12268, 476, 272, 596, 32353, 4528, 713, 4528, 593, 596, 32353, 1568, 593, 5100, 269, 9669, 593, 4466, 1434, 2959, 585, 543, 1603, 606, 23064, 15853, 269, 1548, 568, 621, 2870, 606, 23064, 15853, 13071, 707, 5467, 917, 1018, 2959, 596, 1031, 538, 519, 5137, 540, 707, 1788, 1101, 267, 606, 23064, 15853, 6645, 519, 269, 634, 3540, 2924, 957, 540, 476, 3422, 275, 950, 5087, 519, 3140, 5708, 9089, 538, 1250, 23064, 15853, 2049, 1354, 610, 1282, 519, 3540, 2924, 3350, 563, 314, 572, 937, 476, 24798, 335, 585, 5857, 704, 2592, 316, 1451, 875, 547, 1711, 606, 23064, 15853, 649, 3513, 849, 2911, 827, 875, 547, 3561, 2228, 2959, 1775, 3494, 519, 3898, 269, 634, 3483, 540, 1603, 606, 23064, 15853, 568, 547, 1683, 606, 7650, 540, 519, 1382, 602, 814, 1044, 3370, 593, 513, 1880, 1888, 269, 4934, 6050, 519, 3483, 543, 2409, 585, 2813, 606, 23064, 15853, 563, 763, 1985, 3381, 568, 4358, 3247, 15205, 269, 11137, 585, 513, 3732, 540, 606, 7127, 689, 606, 23064, 15853, 7127, 538, 7824, 267, 4945, 593, 519, 4647, 762, 3758, 538, 519, 2923, 4216, 1657, 2630, 596, 786, 1265, 3732, 269, 1323, 2254, 730, 15853, 7270, 606, 23064, 15853, 3568, 519, 11239, 540, 519, 2707, 543, 513, 10855, 5037, 540, 585, 7270, 267, 596, 786, 991, 547, 3406, 519, 269, 10261, 948, 609, 606, 15986, 23064, 15853, 938, 1863, 3391, 15211, 596, 998, 621, 609, 8847, 543, 23064, 15853, 1806, 538, 15986, 547, 1397, 596, 875, 563, 19465, 707, 23064, 15853, 875, 547, 1711, 707, 15853, 910, 5923, 15898, 562, 24863, 596, 32353, 3381, 23064, 15853, 25727, 689, 269, 962, 19834, 2022, 281, 16643, 267, 23064, 15853, 16643, 596, 32353, 536, 16078, 1200, 345, 7921, 781, 1433, 11239, 552, 2835, 267, 3092, 642, 561, 874, 3369, 337, 548, 342, 16210, 3381, 267, 610, 669, 8522, 602, 14550, 1114, 2798, 269, 25141, 676, 3196, 281, 23064, 15853, 3119, 2959, 476, 272, 15995, 32136, 592, 990, 267, 705, 706, 329, 531, 559, 27379, 10275, 573, 333, 6260, 7521, 17337, 737, 10455, 4445, 345, 16330, 536, 25900, 3377, 536, 25900, 267, 476, 1556, 1232, 476, 1001, 273, 269, 0, 300, 5055, 630, 19640, 1893, 7681, 264, 2511, 568, 1034, 4122, 1031, 547, 2328, 4574, 543, 13712, 2959, 1369, 519, 12666, 6575, 543, 23408, 713, 4199, 267, 8242, 547, 2992, 519, 15986, 25156, 630, 279, 555, 1196, 1070, 3091, 1806, 585, 519, 2489, 3898, 540, 15986, 1382, 4574, 267, 538, 17856, 14327, 267, 1439, 17084, 11721, 2393, 17084, 267, 543, 519, 1568, 11855, 2985, 269, 769, 2489, 267, 596, 1058, 556, 874, 19189, 519, 1344, 610, 2093, 11855, 883, 707, 1378, 1913, 543, 13712, 519, 2707, 14013, 649, 2303, 602, 596, 946, 519, 4808, 2630, 538, 19696, 3332, 538, 707, 1557, 2705, 267, 596, 949, 946, 1022, 3898, 596, 6999, 607, 1279, 607, 707, 11239, 2511, 568, 4977, 543, 5812, 563, 288, 3332, 2689, 568, 711, 606, 23064, 15853, 538, 799, 596, 17412, 13713, 1142, 2376, 602, 596, 723, 12649, 1247, 513, 5758, 540, 519, 1018, 596, 723, 1224, 568, 8659, 1369, 519, 3332, 2689, 267, 621, 4422, 1134, 3564, 8806, 28388, 3318, 3332, 269, 9980, 1845, 538, 513, 3332, 11855, 3296, 616, 9904, 1242, 676, 519, 2063, 2012, 540, 519, 2278, 281, 519, 4266, 630, 1993, 2565, 1719, 538, 2257, 264, 568, 5116, 2047, 19952, 606, 7127, 585, 799, 519, 2278, 568, 7164, 267, 971, 607, 513, 11356, 2376, 610, 606, 5667, 11220, 2689, 568, 9904, 1242, 676, 519, 1101, 2262, 540, 519, 2140, 267, 27195, 519, 4930, 513, 267, 606, 267, 543, 519, 269, 7316, 547, 1265, 5528, 585, 1603, 707, 3498, 3498, 3029, 616, 11540, 609, 1142, 7616, 4316, 23318, 1106, 8386, 27322, 267, 2361, 8386, 1922, 1752, 5528, 585, 11264, 707, 3498, 949, 581, 1336, 593, 519, 875, 547, 4019, 910, 3498, 3391, 2985, 896, 519, 4544, 20927, 585, 1106, 5528, 563, 290, 1735, 4290, 540, 2257, 15769, 12319, 20576, 540, 5122, 543, 11418, 8030, 8100, 610, 11855, 8100, 1592, 873, 9904, 1227, 676, 2278, 896, 519, 16144, 3606, 8100, 3898, 707, 1439, 8100, 4589, 262, 1101, 4408, 616, 21235, 607, 1698, 8558, 1310, 741, 1147, 12849, 522, 974, 7666, 328, 20444, 267, 737, 328, 612, 1782, 26270, 267, 10627, 345, 2993, 795, 269, 1215, 547, 13712, 3332, 621, 568, 1360, 1271, 602, 596, 2285, 5491, 547, 519, 2707, 540, 1022, 1344, 610, 2093, 602, 596, 1459, 538, 707, 1557, 519, 2707, 540, 519, 1344, 610, 2093, 1590, 581, 20295, 2047, 538, 519, 1257, 543, 713, 568, 1634, 607, 19696, 3332, 269, 595, 572, 6262, 1735, 4290, 540, 2257, 15769, 264, 2511, 568, 1034, 4122, 1031, 547, 2328, 4574, 543, 13712, 2959, 538, 519, 9443, 267, 1519, 7350, 538, 1840, 547, 519, 1806, 547, 519, 2451, 267, 1294, 891, 6810, 540, 519, 3621, 2511, 543, 3898, 3391, 585, 875, 547, 13712, 824, 2959, 538, 524, 572, 2511, 269, 1452, 616, 519, 1034, 1455, 1806, 11855, 585, 513, 2347, 1592, 540, 1806, 5225, 5077, 15986, 25156, 585, 5830, 540, 1382, 4574, 267, 476, 278, 555, 1196, 630, 10915, 18470, 476, 26951, 280, 575, 7871, 476, 1220, 280, 563, 763, 1699, 476, 278, 628, 7160, 540, 519, 14643, 540, 2257, 15769, 262, 630, 22330, 264, 3621, 2511, 543, 3898, 1433, 729, 3370, 538, 476, 1220, 277, 1991, 547, 476, 1220, 271, 267, 713, 11239, 2511, 729, 1634, 607, 524, 2041, 630, 322, 1735, 4290, 540, 7350, 15769, 264, 581, 2386, 547, 2141, 946, 519, 1034, 1699, 7160, 267, 610, 519, 835, 9053, 676, 707, 1576, 14357, 269, 1411, 991, 547, 13712, 707, 2959, 538, 1079, 4025, 1369, 707, 1957, 281, 538, 17856, 543, 15853, 851, 1775, 14592, 875, 547, 13712, 513, 22950, 337, 1078, 5758, 540, 606, 2278, 781, 1913, 610, 960, 1369, 707, 1957, 851, 13797, 14592, 875, 547, 1711, 606, 9904, 673, 1592, 540, 8100, 693, 519, 1439, 540, 707, 1957, 602, 8638, 4376, 596, 13712, 269, 27375, 3684, 12814, 2337, 1053, 543, 4648, 5265, 5491, 519, 1344, 602, 789, 946, 13712, 707, 1433, 538, 2413, 1893, 7681, 476, 279, 628, 7160, 3898, 585, 1863, 563, 763, 3332, 11855, 3296, 630, 321, 9560, 2762, 264, 568, 1336, 693, 519, 1439, 540, 707, 1957, 543, 3568, 519, 2347, 4704, 585, 1142, 540, 519, 538, 17856, 14327, 1031, 538, 707, 1957, 3622, 267, 513, 11239, 2882, 519, 2278, 4433, 1070, 4266, 267, 2140, 543, 2707, 540, 707, 8313, 269, 7442, 320, 630, 26410, 5626, 7681, 264, 2511, 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 ]
[ 0, 5149, 476, 272, 281, 700, 1662, 517, 12794, 298, 3941, 327, 630, 295, 8432, 5678, 264, 5525, 1107, 589, 17714, 883, 12355, 607, 3487, 540, 14579, 5678, 5530, 692, 7072, 912, 23458, 568, 1454, 811, 982, 513, 6071, 1907, 585, 2792, 282, 621, 6585, 2686, 267, 3140, 267, 543, 1256, 5289, 4644, 269, 901, 18941, 14034, 2523, 3020, 950, 7234, 700, 1662, 517, 12794, 298, 3941, 327, 267, 849, 1634, 607, 12355, 267, 799, 11438, 2620, 3909, 2495, 1369, 6014, 2528, 269, 769, 713, 1770, 267, 649, 786, 5490, 883, 519, 4241, 1158, 540, 700, 1662, 517, 12794, 298, 3941, 327, 2090, 267, 3695, 922, 1686, 267, 2497, 267, 543, 2640, 607, 851, 540, 4914, 1893, 1353, 269, 1284, 786, 1865, 1946, 1565, 971, 513, 2189, 543, 3504, 1893, 666, 581, 1312, 13948, 23429, 543, 27268, 25368, 269, 5047, 267, 649, 786, 4983, 930, 540, 519, 5767, 1382, 5885, 519, 5383, 540, 4974, 2789, 4654, 267, 5373, 4296, 1063, 891, 4681, 543, 938, 1445, 593, 700, 1662, 517, 12794, 298, 3941, 327, 780, 4089, 476, 272, 281, 8466, 11137, 540, 700, 1662, 517, 12794, 298, 3941, 327, 692, 2414, 5963, 5660, 519, 5898, 543, 6988, 540, 700, 1662, 517, 12794, 298, 3941, 327, 267, 835, 1590, 1101, 1174, 922, 3638, 1686, 269, 634, 8129, 540, 12355, 4266, 1394, 5215, 540, 1296, 547, 519, 2244, 540, 2052, 22528, 267, 1141, 621, 729, 9275, 676, 519, 25232, 1354, 4742, 519, 10723, 1893, 540, 17194, 269, 10801, 1686, 267, 12355, 7960, 998, 1585, 5933, 267, 1519, 18190, 12355, 267, 681, 13741, 28649, 12355, 267, 19744, 12355, 267, 543, 7073, 12355, 1765, 26421, 3942, 10452, 2242, 538, 12332, 267, 8239, 267, 6863, 267, 543, 6165, 3270, 269, 4653, 267, 2413, 12355, 5713, 607, 519, 4013, 1893, 540, 5840, 267, 1247, 8106, 12355, 3788, 3844, 547, 6014, 1396, 21395, 543, 11755, 780, 4089, 476, 273, 281, 23305, 5811, 540, 700, 1662, 517, 12794, 298, 3941, 327, 692, 4263, 1101, 16145, 267, 700, 1662, 517, 12794, 298, 3941, 327, 949, 2408, 25254, 1813, 547, 922, 8966, 13093, 2045, 1062, 543, 1950, 24466, 3889, 269, 1717, 267, 2899, 7745, 1524, 883, 4130, 3334, 267, 12355, 8761, 3294, 547, 581, 513, 3810, 9836, 543, 9266, 1893, 269, 2368, 1883, 2934, 540, 700, 1662, 517, 12794, 298, 3941, 327, 1331, 1384, 272, 269, 1912, 517, 1108, 281, 9521, 1082, 3864, 4654, 267, 12355, 18271, 513, 5266, 1507, 1305, 540, 27901, 531, 4992, 1572, 13093, 655, 525, 269, 1452, 616, 2417, 9168, 676, 20262, 4191, 2854, 1657, 610, 2630, 519, 5022, 267, 8108, 3982, 24424, 269, 9457, 344, 540, 891, 4295, 2609, 533, 2314, 519, 1259, 2509, 31402, 2542, 267, 1603, 267, 543, 6340, 5759, 563, 273, 269, 5651, 874, 334, 1606, 9321, 1314, 281, 2290, 7415, 2460, 540, 12355, 568, 922, 946, 540, 3597, 7146, 1790, 520, 1181, 19916, 267, 13296, 1913, 2671, 1455, 5072, 2943, 8428, 1785, 12147, 1759, 593, 741, 5497, 10096, 269, 1635, 7421, 891, 5072, 543, 3270, 267, 6267, 2744, 3407, 4030, 883, 2262, 5250, 3157, 543, 4845, 4070, 3652, 563, 274, 269, 12054, 24939, 281, 1306, 5892, 5018, 267, 700, 1662, 517, 12794, 298, 3941, 327, 19299, 2178, 13218, 547, 6014, 2245, 543, 2259, 269, 9182, 267, 13215, 922, 20750, 6625, 3340, 23440, 609, 3875, 2474, 11341, 547, 3909, 2616, 766, 267, 14812, 267, 9821, 267, 543, 5931, 269, 12056, 609, 891, 4798, 11942, 513, 4514, 7071, 585, 6014, 6561, 543, 3961, 780, 4089, 476, 274, 281, 22436, 540, 24356, 700, 1662, 517, 12794, 298, 3941, 327, 692, 10932, 9846, 9727, 602, 1617, 13308, 2043, 2972, 1896, 5042, 543, 3872, 2640, 3379, 547, 1395, 565, 532, 783, 338, 269, 7324, 891, 5383, 616, 2799, 1966, 9010, 1983, 267, 15398, 5876, 267, 8476, 3965, 4390, 267, 543, 4824, 2949, 4081, 9740, 269, 13018, 267, 4974, 700, 1662, 517, 12794, 298, 3941, 327, 2488, 3606, 3255, 585, 7214, 2208, 543, 2123, 1646, 267, 971, 607, 1384, 272, 269, 8836, 21599, 281, 5548, 1324, 883, 700, 1662, 517, 12794, 298, 3941, 327, 2636, 1053, 547, 2263, 27453, 6040, 5389, 267, 4978, 267, 543, 2853, 17271, 547, 6014, 2528, 269, 3414, 713, 1184, 267, 789, 11349, 17685, 8590, 16169, 267, 2463, 267, 543, 7279, 2509, 3309, 5380, 563, 273, 269, 11879, 3206, 1646, 281, 5463, 5317, 1950, 12355, 5931, 19329, 10763, 7744, 543, 6297, 7156, 540, 13865, 10881, 269, 9182, 267, 2502, 609, 891, 2326, 554, 2158, 2565, 3206, 31399, 625, 10858, 2066, 10459, 563, 274, 269, 20154, 4276, 281, 1280, 1346, 5461, 538, 6014, 5132, 267, 15334, 538, 700, 1662, 517, 12794, 298, 3941, 327, 6087, 1463, 1569, 547, 10723, 5931, 899, 519, 22560, 267, 13669, 31053, 267, 543, 590, 1342, 584, 574, 269, 4197, 19001, 543, 12738, 538, 741, 3312, 1893, 1266, 11367, 513, 2631, 540, 27527, 267, 13597, 267, 543, 25055, 796, 520, 1555, 762, 3842, 16627, 4805, 563, 275, 269, 6820, 15114, 281, 2060, 18303, 2486, 4730, 606, 5051, 7986, 1909, 538, 3486, 6214, 267, 9297, 267, 543, 2029, 267, 1702, 540, 12355, 28382, 1053, 609, 1898, 2645, 2556, 585, 2500, 3444, 31215, 5698, 543, 5188, 780, 6962, 1384, 2026, 14051, 5170, 5935, 4207, 7239, 267, 16565, 6791, 538, 2789, 4654, 3587, 2479, 811, 2629, 585, 10188, 938, 6385, 4657, 1158, 269, 1635, 25054, 2390, 519, 3460, 540, 700, 1662, 517, 12794, 298, 3941, 327, 2090, 267, 1053, 711, 1152, 28231, 8101, 5042, 27993, 855, 849, 23365, 2933, 538, 513, 7524, 13795, 14869, 539, 538, 5553, 6040, 7326, 267, 9821, 267, 543, 10752, 269, 6787, 5275, 3152, 5813, 883, 6014, 6561, 610, 3274, 530, 5109, 547, 4228, 835, 781, 10409, 20030, 267, 4142, 21899, 942, 543, 4674, 2509, 13215, 10513, 26280, 826, 14767, 15792, 12587, 2059, 519, 1259, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 20288, 793, 5678, 4804, 18169, 693, 717, 32209, 454, 8072, 3080, 1893, 5036, 596, 538, 513, 23725, 528, 585, 1272, 269, 5565, 4654, 1930, 1169, 7450, 2059, 519, 1259, 685, 910, 7671, 8055, 267, 8059, 626, 269, 7046, 9885, 585, 707, 1453, 676, 3850, 873, 547, 1451, 693, 2547, 835, 824, 1893, 6306, 689, 707, 5065, 11469, 269, 3776, 14762, 4914, 1893, 2069, 10872, 693, 717, 32209, 3091, 707, 1453, 713, 10475, 4316, 563, 763, 11588, 540, 645, 13308, 4065, 454, 20288, 793, 1893, 2069, 814, 513, 7096, 1764, 593, 1453, 779, 2069, 267, 543, 621, 4422, 3564, 6616, 875, 547, 5968, 538, 1776, 1893, 269, 3436, 13981, 513, 1007, 1893, 3091, 519, 1739, 2640, 912, 19102, 1162, 519, 10171, 540, 513, 3811, 6280, 3498, 454, 13900, 1186, 1453, 12492, 4081, 1967, 454, 268, 8555, 1407, 5042, 2773, 454, 6624, 2090, 20838, 519, 2640, 540, 513, 19636, 2069, 269, 1280, 3236, 267, 513, 476, 1708, 271, 1353, 630, 307, 13678, 680, 328, 1696, 620, 4700, 12290, 519, 1764, 540, 6616, 811, 982, 835, 1893, 593, 519, 2773, 540, 27797, 1453, 538, 3127, 269, 898, 1336, 602, 1617, 13308, 1143, 27906, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 299, 1662, 517, 12794, 298, 3941, 327, 630, 295, 8432, 5678, 264, 5525, 257, 607, 851, 540, 834, 293, 16800, 22218, 700, 20315, 308, 17803, 29898, 1315, 12355, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 1556, 281, 634, 654, 1180, 619, 540, 3400, 13901, 17086, 543, 4354, 1386, 1975, 659, 8135, 692, 1556, 269, 272, 4985, 692, 24836, 6143, 910, 513, 3196, 865, 5432, 267, 2943, 865, 1950, 543, 12357, 602, 621, 3576, 519, 6574, 8186, 538, 6323, 547, 2253, 19586, 532, 922, 14960, 269, 3245, 31595, 781, 21722, 960, 538, 11707, 547, 13053, 781, 19862, 540, 519, 8471, 1876, 540, 8904, 543, 6368, 28285, 538, 18160, 781, 14262, 2489, 3069, 540, 25536, 267, 938, 1620, 540, 713, 4909, 3196, 814, 7960, 14320, 936, 519, 5553, 269, 901, 3184, 12538, 2620, 883, 519, 2257, 3297, 8904, 267, 4481, 3695, 519, 1523, 540, 17208, 838, 659, 8135, 543, 23864, 4229, 269, 1284, 786, 849, 4983, 875, 891, 3741, 4019, 547, 4207, 1382, 543, 7835, 538, 28936, 12695, 780, 1556, 269, 273, 589, 16684, 3778, 540, 32322, 692, 6524, 11362, 883, 519, 811, 6946, 3344, 540, 28040, 2787, 267, 1577, 721, 1101, 30603, 930, 3140, 19325, 602, 723, 8032, 938, 2413, 1620, 540, 8904, 780, 1556, 269, 273, 269, 272, 22191, 534, 4039, 18356, 543, 23317, 692, 29727, 850, 334, 22191, 328, 630, 14444, 275, 1700, 13932, 273, 1070, 1419, 688, 6150, 607, 519, 4651, 540, 2413, 2257, 267, 9788, 519, 5748, 585, 8106, 11707, 998, 1010, 5499, 6901, 543, 7422, 269, 7324, 1010, 1082, 7418, 267, 646, 4362, 519, 10252, 26517, 4031, 12044, 25144, 18965, 5163, 267, 799, 21490, 519, 1259, 585, 7766, 13753, 883, 519, 2470, 540, 8904, 780, 1556, 269, 273, 269, 273, 13053, 1014, 32322, 692, 306, 597, 21469, 13053, 630, 13932, 274, 1700, 15094, 278, 264, 3710, 2390, 519, 960, 540, 31595, 543, 824, 3744, 18631, 1864, 547, 25666, 519, 24080, 7608, 1876, 540, 8904, 269, 4340, 547, 13053, 781, 1876, 267, 1169, 1448, 2527, 24643, 1169, 824, 1448, 2527, 676, 513, 3196, 9117, 2059, 519, 1899, 12969, 532, 1312, 2798, 269, 634, 9588, 540, 713, 10694, 3196, 18121, 293, 259, 264, 568, 2016, 676, 1384, 2330, 293, 815, 717, 1422, 2765, 13997, 332, 318, 272, 544, 318, 273, 7684, 2410, 346, 337, 317, 273, 31998, 9681, 3602, 1269, 332, 318, 272, 259, 543, 1269, 332, 318, 273, 259, 2099, 519, 13999, 540, 519, 1079, 4703, 267, 1269, 337, 259, 18575, 519, 3845, 1063, 873, 267, 543, 1269, 294, 259, 568, 519, 14965, 3586, 269, 901, 2241, 2943, 3532, 3830, 12461, 14688, 6257, 519, 2623, 540, 8904, 1369, 519, 3859, 1062, 609, 11141, 6111, 269, 1717, 267, 950, 4294, 547, 3665, 7653, 971, 607, 1804, 18477, 4703, 610, 1164, 29702, 267, 27753, 8451, 267, 26089, 513, 811, 7347, 5943, 547, 2272, 585, 891, 28919, 780, 1556, 269, 274, 4937, 4039, 18356, 543, 4354, 1386, 1975, 659, 8135, 692, 11767, 15751, 18160, 630, 6942, 280, 1700, 4198, 276, 1070, 4171, 12316, 2093, 7282, 8904, 1131, 11014, 1689, 938, 8226, 540, 519, 26355, 269, 769, 476, 4489, 276, 267, 18160, 4843, 1010, 2489, 3069, 540, 25536, 1107, 513, 12166, 7664, 540, 28040, 2787, 17929, 7372, 3615, 2014, 513, 23673, 538, 519, 5958, 540, 838, 659, 8135, 267, 7551, 12018, 519, 24551, 540, 7404, 3615, 269, 901, 22441, 540, 838, 659, 8135, 14340, 689, 519, 4527, 540, 1648, 543, 11610, 267, 20206, 4327, 538, 18160, 781, 2361, 4834, 1384, 2330, 305, 18155, 14153, 1422, 20692, 7684, 910, 1422, 339, 2765, 346, 272, 2410, 273, 348, 326, 18155, 14153, 1422, 20692, 7684, 681, 1341, 1422, 299, 10033, 575, 18155, 14153, 1422, 20692, 7684, 815, 1422, 2765, 13997, 279, 19570, 717, 12453, 346, 322, 317, 275, 31998, 307, 18155, 14153, 1422, 20692, 476, 15732, 2080, 267, 1269, 305, 18155, 14153, 1422, 20692, 476, 4151, 4564, 519, 26548, 857, 22441, 21723, 267, 1269, 326, 18155, 14153, 1422, 20692, 476, 4151, 18575, 519, 11973, 21723, 267, 1269, 305, 259, 568, 519, 22185, 22441, 267, 4399, 299, 10033, 259, 19752, 519, 14421, 1670, 3586, 267, 1269, 307, 18155, 14153, 1422, 20692, 476, 4151, 6920, 519, 2566, 20589, 21723, 267, 543, 1269, 322, 259, 6763, 585, 519, 3432, 540, 1769, 269, 1452, 4557, 13745, 11186, 4834, 4766, 875, 2339, 543, 1648, 3310, 519, 9511, 540, 838, 659, 8135, 780, 1556, 269, 274, 269, 272, 10439, 1944, 4354, 1386, 1975, 659, 8135, 692, 2414, 1732, 1174, 519, 1523, 540, 17208, 838, 659, 8135, 267, 2015, 519, 1739, 21658, 281, 5994, 513, 12285, 6656, 21401, 512, 2246, 269, 1403, 513, 5230, 3440, 630, 10517, 6974, 532, 513, 7372, 1843, 971, 607, 3047, 264, 568, 5116, 593, 713, 9245, 267, 621, 5932, 513, 4965, 610, 7455, 538, 519, 6656, 781, 2627, 269, 3767, 267, 952, 513, 4130, 18899, 630, 320, 9682, 28835, 3047 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 769, 519, 844, 5593, 4884, 540, 590, 7967, 21059, 267, 972, 5030, 606, 2025, 8797, 4807, 3957, 2806, 21731, 28266, 269, 2701, 729, 12021, 585, 1200, 1702, 540, 2067, 14319, 543, 1185, 5280, 9118, 1004, 609, 1585, 22074, 936, 519, 1296, 269, 2290, 1554, 267, 1079, 2828, 1107, 808, 11047, 710, 267, 513, 1762, 4807, 7680, 4552, 2530, 267, 543, 570, 5557, 267, 513, 1647, 27070, 812, 5275, 948, 585, 1010, 1970, 5391, 18480, 1107, 14059, 2806, 21731, 28266, 585, 5583, 269, 1358, 1185, 4862, 32422, 827, 519, 14393, 31397, 2360, 540, 1325, 4141, 2357, 320, 855, 4941, 21533, 689, 2576, 789, 11967, 780, 297, 11047, 710, 11688, 527, 14688, 4280, 267, 834, 6781, 21731, 28266, 267, 594, 4312, 1044, 9561, 1250, 4552, 25015, 267, 543, 594, 4312, 4862, 602, 1325, 4141, 2357, 320, 1223, 948, 269, 1772, 602, 3020, 12482, 307, 5557, 3773, 267, 834, 4517, 594, 4312, 1044, 10010, 609, 8519, 5391, 18480, 269, 16393, 1325, 4141, 2357, 320, 5732, 4217, 803, 1932, 12482, 6781, 21731, 28266, 21330, 24617, 1354, 14775, 267, 834, 25105, 267, 1325, 4141, 2357, 320, 568, 8197, 513, 7415, 2030, 609, 3875, 2640, 267, 2523, 585, 519, 2960, 269, 1717, 267, 27955, 4552, 2530, 543, 2810, 5391, 18480, 616, 3833, 1808, 6811, 269, 2913, 721, 4983, 891, 7682, 687, 811, 5702, 3010, 9515, 4797, 267, 834, 295, 1515, 2530, 666, 2049, 1813, 547, 1082, 4128, 267, 971, 607, 11976, 267, 2566, 267, 610, 6171, 10638, 269, 2755, 1325, 4141, 2357, 320, 1281, 2270, 1898, 5567, 267, 621, 1522, 711, 2582, 8518, 539, 569, 3247, 4552, 2530, 952, 519, 2014, 6013, 11992, 269, 1306, 585, 707, 2034, 2243, 267, 5391, 18480, 568, 4299, 676, 2789, 2188, 267, 1312, 2168, 543, 3929, 269, 4014, 1325, 4141, 2357, 320, 814, 930, 29915, 908, 7907, 267, 621, 3884, 1405, 3335, 2404, 609, 7393, 835, 781, 3023, 5397, 3010, 11514, 1952, 2002, 618, 18233, 936, 808, 11047, 710, 543, 570, 5557, 262, 8188, 267, 855, 789, 15874, 2806, 21731, 28266, 781, 19969, 543, 7326, 269, 9282, 789, 7620, 12479, 585, 513, 2656, 4368, 267, 789, 6956, 602, 5466, 741, 4145, 2838, 513, 811, 11455, 1935, 780, 297, 11047, 710, 4956, 547, 5077, 513, 17172, 6048, 547, 2697, 519, 3597, 2014, 540, 1200, 4552, 2530, 267, 1247, 570, 5557, 8149, 5128, 547, 2834, 3635, 267, 513, 7059, 2732, 267, 543, 1930, 2792, 609, 1010, 7649, 269, 5637, 7691, 602, 5275, 3318, 5796, 543, 1818, 6197, 2242, 941, 2629, 3268, 2509, 5355, 741, 8171, 780, 1103, 519, 1439, 267, 4352, 519, 3355, 3377, 8604, 771, 24711, 2287, 267, 808, 11047, 710, 543, 570, 5557, 4121, 3407, 4245, 827, 2921, 5279, 540, 741, 1072, 543, 1620, 519, 7687, 540, 1753, 14319, 269, 1656, 1256, 1498, 1325, 4141, 2357, 320, 7012, 1405, 519, 3443, 25445, 789, 8179, 267, 2806, 21731, 28266, 7283, 513, 15197, 4137, 538, 741, 2729, 1107, 513, 15266, 547, 519, 2956, 540, 1455, 2631, 267, 2565, 3206, 267, 543, 17519, 5583, 950, 10188, 1272, 781, 2591, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 2108, 304, 281, 28787, 281, 834, 288, 1634, 10826, 585, 4552, 2530, 543, 2799, 5391, 18480, 568, 1325, 4141, 2357, 320, 4799, 3674, 519, 3409, 1657, 2953, 267, 543, 666, 621, 581, 20240, 676, 1480, 1455, 2631, 543, 1510, 513, 1357, 3406, 888, 302, 6877, 912, 268, 9811, 454, 268, 1100, 454, 2419, 664, 6361, 268, 2288, 339, 912, 763, 3409, 2829, 602, 1325, 4141, 2357, 320, 568, 513, 1634, 10826, 585, 4552, 2530, 543, 2799, 5391, 18480, 269, 8528, 2414, 13182, 713, 3409, 1210, 1480, 1455, 2631, 543, 1510, 513, 1357, 3406, 267, 649, 666, 2015, 519, 1739, 2798, 1384, 272, 269, 1325, 4141, 2357, 320, 568, 513, 2030, 1634, 585, 922, 16392, 3601, 267, 3226, 538, 25695, 543, 7067, 2960, 2175, 269, 898, 568, 4122, 1031, 538, 2960, 3249, 543, 23815, 2472, 780, 273, 269, 22458, 2530, 666, 581, 3361, 676, 1585, 2188, 267, 1519, 11976, 267, 17441, 20817, 267, 2566, 267, 543, 8770, 19518, 269, 898, 568, 12691, 602, 1325, 4141, 2357, 320, 4805, 1131, 581, 513, 8471, 10826, 585, 4552, 2530, 267, 607, 621, 949, 711, 2232, 519, 5817, 3123, 540, 4552, 2530, 538, 782, 2665, 780, 274, 269, 8644, 18480, 267, 610, 4638, 7287, 267, 568, 6766, 676, 513, 1950, 16799, 540, 5626, 267, 12214, 267, 543, 17441, 2188, 269, 1325, 4141, 2357, 320, 568, 711, 1634, 585, 621, 10640, 763, 1650, 1058, 11200, 998, 519, 3197, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 269, 634, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 6092, 5149, 281, 4197, 9699, 15979, 998, 519, 5020, 540, 513, 20154, 9457, 692, 22706, 5426, 281, 5664, 3427, 630, 277, 628, 910, 476, 279, 628, 6103, 2020, 20428, 281, 13898, 1315, 8109, 692, 8893, 11137, 1384, 1103, 713, 3992, 267, 649, 786, 2263, 9699, 7881, 676, 1565, 827, 519, 1272, 543, 10752, 540, 513, 26060, 5289, 4487, 267, 16444, 4210, 9564, 590, 23186, 7701, 269, 1284, 786, 1445, 593, 835, 540, 1010, 7986, 20785, 267, 16444, 4210, 9564, 10469, 330, 919, 534, 663, 1690, 328, 26527, 1690, 267, 945, 5206, 6184, 25378, 13669, 802, 540, 717, 584, 644, 5271, 590, 23186, 7701, 1759, 593, 1010, 2123, 2833, 609, 519, 4487, 269, 1635, 1620, 741, 2078, 543, 4974, 930, 540, 16444, 4210, 9564, 590, 23186, 7701, 781, 10752, 267, 596, 786, 2744, 4030, 883, 9699, 5683, 2418, 971, 607, 1582, 16531, 267, 9015, 267, 8296, 267, 543, 3028, 547, 1866, 780, 8893, 20505, 1384, 265, 29130, 1053, 547, 519, 1523, 540, 9699, 7881, 1369, 519, 6626, 2796, 540, 4095, 6138, 563, 265, 10812, 519, 1272, 543, 10752, 540, 16444, 4210, 9564, 590, 23186, 7701, 543, 1174, 875, 789, 2992, 9699, 5683, 3741, 563, 265, 6258, 827, 519, 1909, 540, 513, 575, 15843, 630, 338, 2869, 3770, 4116, 264, 538, 18420, 543, 519, 4644, 540, 519, 2875, 14482, 12329, 2078, 563, 265, 25826, 1585, 9699, 5683, 2035, 1210, 1483, 3734, 1806, 6537, 689, 16444, 4210, 9564, 590, 23186, 7701, 781, 10752, 780, 7072, 1384, 5970, 596, 2479, 9289, 1018, 621, 1797, 547, 2661, 513, 1434, 1272, 286, 10801, 1686, 267, 1082, 1390, 17024, 723, 11432, 1229, 713, 2243, 543, 3838, 741, 4555, 593, 875, 1655, 547, 1291, 513, 4075, 6681, 6228, 269, 2290, 971, 2245, 2501, 689, 3127, 267, 1141, 9699, 24866, 7291, 1808, 5683, 4808, 602, 948, 2043, 3035, 10103, 609, 2933, 267, 1866, 267, 543, 519, 1158, 1472, 873, 269, 1452, 5683, 3741, 1106, 519, 5748, 540, 546, 327, 12609, 1107, 519, 2619, 540, 32660, 543, 10279, 269, 2913, 721, 7832, 593, 513, 3460, 547, 1451, 811, 827, 891, 16431, 2439, 763, 10020, 540, 513, 29831, 1384, 1103, 9699, 5389, 267, 513, 575, 15843, 4249, 513, 1713, 1909, 538, 13057, 513, 1268, 2509, 21481, 543, 2713, 513, 4075, 6681, 1272, 269, 589, 575, 15843, 568, 2576, 945, 7006, 1564, 14334, 630, 793, 528, 766, 264, 543, 5012, 519, 1167, 2118, 2509, 1769, 630, 32474, 1040, 901, 2078, 1063, 519, 575, 15843, 543, 1167, 2118, 3322, 2620, 2463, 267, 3972, 267, 543, 11428, 269, 898, 1419, 14122, 2673, 5872, 267, 3850, 519, 1167, 2118, 547, 7747, 543, 10110, 519, 7326, 540, 519, 4487, 269, 3776, 1650, 6212, 593, 519, 2078, 1063, 16444, 4210, 9564, 590, 23186, 7701, 267, 513, 12021, 5289, 4487, 267, 543, 1010, 13991, 1167, 2118, 267, 16444, 4210, 9564, 10469, 330, 919, 534, 663, 1690, 328, 26527, 1690, 780, 9288, 7566, 519, 9457, 1384, 29820, 538, 476, 6642, 278, 538, 623, 3430, 600, 611, 2967, 267, 3162, 3127, 267, 16444, 4210, 9564, 590, 23186, 7701, 729, 1634, 585, 1010, 3808, 1652, 1648, 267, 11763, 15131, 267, 543, 7096, 7326, 269, 1261, 6170, 1454, 540, 1010, 2038, 1272, 7674, 8103, 607, 513, 4387, 1354, 8508, 521, 15967, 14505, 630, 1066, 10586, 264, 543, 4142, 21899, 1010, 3003, 1272, 547, 5289, 18697, 269, 3571, 10752, 15091, 1582, 16531, 267, 2648, 267, 6418, 4708, 267, 543, 3028, 547, 782, 7919, 780, 3080, 1554, 267, 513, 1762, 812, 3957, 10469, 330, 520, 18769, 594, 9807, 1558, 16444, 4210, 9564, 590, 23186, 7701, 1282, 513, 3643, 547, 681, 880, 10105, 327, 269, 26647, 1188, 676, 519, 2220, 9564, 781, 32689, 4527, 267, 10469, 330, 520, 18769, 4956, 547, 15646, 8784, 1010, 1920, 543, 22590, 547, 1831, 513, 1395, 2880, 1167, 2118, 896, 16444, 4210, 9564, 590, 23186, 7701, 781, 5583, 269, 11412, 3139, 4210, 9564, 10469, 330, 919, 534, 663, 1690, 328, 26527, 1690, 267, 646, 4682, 593, 547, 2328, 6184, 25378, 13669, 802, 540, 717, 584, 644, 5271, 590, 23186, 7701, 267, 5312, 1782, 1010, 942, 6170, 609, 519, 4487, 780, 18698, 9699, 19078, 16610, 1384, 9961, 519, 1433, 267, 4210, 9564, 10469, 330, 919, 534, 663, 1690, 328, 8843, 2984, 543, 4245, 791, 14975, 676, 16444, 4210, 9564, 590, 23186, 7701, 269, 2368, 1883, 5683, 2035, 10423, 538, 891, 10752, 1331, 1384, 272, 269, 8682, 16531, 281, 16444, 4210, 9564, 590, 23186, 7701, 9415, 1010, 20785, 2141, 547, 2322, 1866, 1101, 543, 4196, 1582, 8393, 269, 1280, 1383, 267, 950, 4280, 827, 1010, 3232, 6296, 267, 519, 4487, 14452, 602, 646, 5030, 1152, 547, 13468, 1480, 7092, 543, 10575, 3424, 20339, 780, 567, 11314, 281, 11559, 1053, 547, 1265, 2081, 789, 666, 2259, 1582, 16531, 1369, 741, 3885, 267, 3506, 267, 543, 2950, 269, 9181, 2009, 7653, 543, 3435, 1927, 780, 273, 269, 2598, 23002, 281, 8617, 9066, 267, 11755, 267, 1353, 267, 543, 1582, 1652, 960, 941, 1898, 3344, 540, 16444, 4210, 9564, 590, 23186, 7701, 781, 3450, 269, 3414, 5676, 1441, 2853, 267, 646, 5156, 602, 2043, 1223, 11349, 6418, 4222, 267, 2790, 9355, 267, 543, 3929, 3666, 780, 567, 11314, 281, 8073, 513, 2241, 3232, 8430, 6220, 11009, 5751, 267, 2168, 2534, 267, 2542, 267, 543, 6411, 540, 11587, 269, 4841, 666, 3950, 741, 3356, 936, 1896, 2395, 543, 2671, 741, 18759, 780, 274, 269, 3281, 6842, 281, 9877, 1145, 543, 6568, 2482, 693, 519, 2295, 540, 16444, 4210, 9564, 590, 23186, 7701, 781, 5048, 269, 1635, 9301, 938, 1455, 8103, 543, 12391, 585, 1346, 1472, 721, 267, 649, 6536, 9322, 267, 6043, 267, 543, 1514, 22122, 780, 567, 11314, 281, 5029, 1125, 513, 1362, 1788, 5059, 593, 11744, 8296, 543, 1416, 585, 1866, 269, 14313, 949, 1331, 2870, 28551, 6486, 585, 8808, 1753, 7264, 267, 10655, 1426, 3688, 585, 2199, 1426, 8492, 267, 610, 24749, 693, 2146, 7740, 780, 6962, 1384, 3528, 6313, 519, 1272, 543, 10752, 540, 16444, 4210, 9564, 590, 23186, 7701, 267, 649, 2744, 3407, 5813, 883, 9699, 7881, 543, 519, 2956, 540, 3056, 513, 4075, 6681, 1272, 2687, 547, 546, 327, 1301, 545, 3741, 269, 1306, 14971, 2518, 4961, 267, 1620, 3309, 2686, 5380, 2636, 721, 547, 5660, 1114, 4485, 547, 5837, 1646, 1247, 5807, 13784, 267, 10892, 267, 543, 8994, 2463, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 15578, 667, 4353, 12114, 700, 9281, 292, 14298, 5746, 4953, 312, 454, 303, 20166, 269, 1744, 23186, 663, 534, 26196, 268, 27149, 476, 4572, 454, 18850, 339, 269, 1855, 327, 686, 8566, 541, 327, 19789, 267, 31579, 541, 752, 8518, 267, 22615, 28569, 267, 3127, 454, 8368, 540, 12937, 454, 2171, 616, 30140, 30590, 547, 2709, 519, 2034, 7160, 540, 1412, 2562, 9915, 7644, 5058, 570, 3201, 16775, 5508, 717, 7838, 11070, 14110, 590, 4353, 288, 2793, 301, 6395, 262, 547, 519, 25058, 525, 543, 20785, 540, 519, 10513, 9457, 563, 262, 11900, 25378, 13669, 802, 540, 717, 584, 644, 5271, 590, 23186, 7701, 262, 568, 513, 4190, 12225, 1834, 676, 1234, 30099, 16444, 4210, 9564, 10469, 330, 919, 534, 663, 1690, 328, 26527, 1690, 945, 1185, 519, 25552, 17979, 540, 9361, 693, 519, 10723, 3952, 540, 16444, 717, 584, 644, 5271, 543, 6947, 547, 1169, 2262, 543, 8384, 1169, 2962, 540, 5617, 3437, 9457, 269, 16444, 4210, 600, 25702, 26527, 1690, 814, 6592, 1010, 7422, 540, 1079, 1296, 689, 4728, 476, 3707, 279, 547, 5147, 476, 4198, 271, 543, 4843, 873, 12225, 10999, 538, 1010, 1433, 269, 16444, 4210, 600, 25702, 781, 2189, 543, 538, 574, 3386, 2511, 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 ]
[ 1100, 2417, 5583, 593, 519, 1599, 1701, 901, 568, 513, 4214, 1759, 17033, 593, 1599, 269, 789, 19582, 606, 5604, 540, 519, 3972, 543, 616, 538, 1978, 24947, 538, 519, 2990, 540, 3972, 4315, 585, 519, 2754, 269, 513, 1268, 568, 513, 8689, 952, 646, 1281, 8726, 513, 8689, 7363, 1281, 269, 16324, 24969, 906, 723, 4330, 873, 607, 630, 328, 264, 8069, 269, 634, 3169, 2990, 540, 2048, 29715, 528, 685, 568, 2182, 547, 5581, 269, 634, 25963, 540, 9698, 8843, 723, 13359, 2924, 269, 2932, 269, 278, 6034, 832, 27116, 269, 607, 1100, 6101, 4214, 269, 8164, 972, 568, 32692, 540, 1010, 2123, 4690, 609, 602, 540, 519, 2754, 269, 4014, 19971, 616, 711, 3972, 4315, 538, 519, 1483, 2631, 540, 519, 2165, 269, 279, 4937, 20821, 902, 543, 18619, 1547, 4061, 269, 789, 723, 547, 1118, 1434, 519, 1482, 607, 952, 789, 941, 3972, 4315, 269, 561, 1358, 616, 3972, 4315, 585, 16706, 7060, 24705, 1042, 593, 873, 585, 519, 4324, 540, 519, 2754, 269, 630, 12148, 1315, 8771, 264, 476, 1321, 269, 4061, 269, 630, 12148, 1315, 8771, 264, 476, 1321, 269, 11645, 543, 2990, 540, 513, 8689, 269, 7060, 547, 28286, 8843, 269, 540, 519, 2165, 814, 1044, 2016, 269, 561, 1358, 1796, 538, 513, 535, 573, 18676, 776, 2078, 547, 519, 2754, 543, 269, 1280, 3236, 269, 1403, 789, 3765, 1952, 569, 2754, 779, 2724, 269, 589, 8689, 568, 538, 1100, 1259, 513, 3972, 2465, 585, 1367, 23265, 4849, 950, 519, 5449, 28901, 519, 8545, 676, 3765, 10517, 19948, 547, 6133, 519, 8843, 547, 1864, 269, 610, 630, 13839, 264, 5883, 4891, 563, 1321, 269, 14917, 268, 12739, 264, 1306, 519, 2012, 19752, 269, 621, 991, 711, 3180, 1022, 971, 5870, 538, 519, 1032, 540, 922, 25465, 610, 538, 519, 1739, 1032, 269, 634, 1585, 14074, 540, 1876, 7668, 23265, 547, 798, 1978, 1919, 269, 1169, 6221, 593, 519, 16786, 1590, 581, 10483, 676, 606, 2048, 7336, 534, 2218, 15048, 9957, 27116, 269, 630, 13839, 264, 2311, 2547, 476, 2641, 2395, 1354, 519, 1554, 540, 5870, 269, 634, 8274, 540, 6034, 832, 949, 1289, 513, 2489, 5870, 540, 519, 2818, 693, 1022, 942, 676, 4758, 711, 1447, 982, 476, 2641, 2395, 5469, 269, 630, 13839, 264, 676, 519, 1270, 9974, 1235, 2933, 269, 476, 1321, 269, 634, 3656, 14074, 607, 14621, 971, 11401, 616, 281, 476, 272, 269, 898, 1590, 957, 998, 930, 1480, 10827, 776, 269, 272, 10261, 585, 11401, 589, 2754, 568, 606, 5841, 1268, 543, 4061, 269, 15433, 1849, 1021, 476, 5325, 540, 7305, 589, 630, 306, 3832, 7191, 1107, 594, 264, 2488, 602, 782, 2489, 11401, 824, 982, 589, 14875, 338, 4927, 581, 1572, 519, 661, 14875, 338, 269, 13679, 264, 2368, 540, 519, 1034, 1271, 3656, 14074, 3823, 519, 27152, 5870, 616, 281, 630, 328, 264, 898, 568, 2838, 547, 581, 4371, 1152, 676, 513, 1857, 2754, 2348, 513, 2671, 3854, 269, 634, 5021, 7934, 1063, 1079, 971, 11401, 949, 581, 6905, 676, 1614, 3275, 676, 2921, 10479, 540, 519, 21362, 32057, 269, 2705, 269, 661, 14875, 568, 7036, 539, 585, 6223, 532, 930, 2027, 610, 14849, 1870, 602, 949, 8451, 538, 1063, 1079, 589, 14875, 338, 269, 5272, 2754, 269, 581, 4371, 4570, 952, 9844, 568, 11063, 539, 972, 1729, 676, 2818, 540, 519, 2754, 8066, 476, 4817, 260, 610, 811, 540, 519, 13359, 2924, 630, 20376, 269, 585, 3236, 269, 273, 6465, 21881, 5870, 630, 20376, 269, 2436, 1857, 610, 4357, 269, 476, 274, 269, 1323, 661, 14875, 949, 581, 1572, 281, 630, 328, 264, 676, 519, 6034, 832, 540, 741, 1378, 11063, 269, 279, 269, 1689, 538, 519, 3615, 610, 6521, 540, 10805, 5604, 610, 27327, 540, 3854, 269, 476, 1321, 269, 2348, 513, 2671, 3854, 610, 711, 269, 1358, 616, 4481, 11603, 585, 873, 547, 581, 2944, 538, 2754, 779, 2489, 11401, 269, 634, 5870, 1590, 581, 4371, 630, 328, 264, 593, 513, 1554, 799, 568, 711, 513, 1857, 9702, 269, 589, 4357, 2754, 610, 513, 1857, 2754, 10805, 1510, 2671, 3854, 568, 896, 1100, 17185, 547, 3180, 971, 513, 5870, 269, 769, 713, 2796, 11401, 540, 23265, 543, 540, 19971, 3587, 2556, 269, 3908, 610, 19957, 1590, 3180, 713, 5870, 269, 279, 269, 275, 23448, 268, 867, 2435, 20051, 630, 9680, 300, 264, 1107, 27116, 269, 630, 13839, 264, 23448, 867, 2435, 4937, 20051, 269, 713, 568, 606, 5993, 5870, 540, 513, 2754, 269, 1496, 20376, 269, 476, 1321, 269, 279, 269, 543, 630, 643, 264, 4147, 20821, 902, 269, 279, 269, 29720, 16877, 519, 8274, 540, 6034, 832, 547, 4383, 519, 12602, 540, 519, 2754, 269, 589, 10156, 5469, 949, 269, 513, 5469, 540, 519, 5870, 568, 547, 581, 2366, 547, 1169, 4759, 17548, 621, 547, 581, 513, 6465, 21881, 20051, 269, 1717, 269, 630, 4512, 264, 676, 519, 6034, 832, 593, 1270, 9974, 269, 630, 643, 264, 676, 519, 17650, 26915, 269, 4884, 610, 8498, 538, 799, 519, 10805, 5604, 568, 13883, 269, 769, 713, 3487, 11401, 540, 23265, 616, 3144, 909, 543, 2663, 538, 3487, 476, 1691, 269, 476, 273, 269, 630, 4512, 264, 1282, 1870, 3108, 269, 2353, 1870, 6223, 539, 693, 971, 11401, 568, 1572, 2027, 1870, 269, 14378, 1040, 4475, 269, 3112, 957, 3294, 269, 8682, 10495, 5999, 1547, 630, 4512, 264, 898, 1590, 581, 4371, 1369, 513, 1974, 540, 711, 1447, 982, 835, 3923, 543, 711, 811, 982, 3670, 3275, 689, 519, 4266, 693, 799, 519, 2754, 568, 13886, 547, 30134, 1870, 269, 476, 273, 269, 630, 13839, 264, 693, 519, 10805, 5604, 540, 519, 2754, 610, 693, 930, 824, 1747, 1369, 519, 2749, 269, 634, 5870, 1590, 581, 4371, 538, 1142, 11706, 1032, 543, 711, 811, 982, 19939, 3275, 4927, 1714, 8985, 1063, 1079, 11401, 269, 11401, 540, 19971, 616, 5941, 269, 630, 4512, 264, 16316, 4937, 20051, 269, 945, 949, 865, 1450, 585, 1022, 2027, 2601, 269, 14917, 263, 273, 264, 4940, 634, 2920, 814, 1500, 14074, 585, 1739, 1114, 2010, 540, 11401, 540, 23265, 281, 630, 328, 264, 6465, 21881, 20051, 269, 519, 1101, 589, 14875, 949, 581, 4371, 1369, 29933, 3275, 689, 519, 4266, 540, 922, 25465, 543, 952, 971, 2489, 5870, 568, 4371, 1369, 602, 1974, 269, 634, 14074, 11341, 547, 713, 5870, 616, 281, 476, 272, 269, 274, 16316, 2489, 5870, 630, 8980, 300, 264, 630, 20376, 338, 563, 763, 4357, 3549, 616, 711, 547, 581, 3144, 883, 2272, 585, 12719, 519, 1297, 540, 3549, 799, 606, 2912, 3218, 666, 20894, 269, 1323, 23070, 269, 1717, 269, 25173, 922, 7221, 269, 476, 1321, 269, 17188, 922, 22440, 543, 6368, 2733, 2373, 1022, 1547, 1310, 513, 1974, 540, 835, 1032, 689, 519, 30134, 618, 540, 519, 14821, 2920, 568, 8066, 1022, 3354, 538, 602, 2754, 269, 25024, 543, 11645, 610, 13800, 540, 2912, 6002, 27116, 269, 1572, 513, 2048, 331, 18612, 1807, 9957, 1015, 654, 4193, 909, 540, 14992, 654, 4193, 909, 540, 513, 2754, 568, 519, 1184, 17929, 922, 1272, 568, 8694, 543, 922, 3959, 13950, 585, 519, 4324, 540, 922, 5491, 832, 543, 2818, 269, 6589, 543, 642, 537, 7129, 540, 519, 2754, 2436, 6854, 693, 519, 2212, 5604, 610, 11992, 269, 1590, 1369, 13977, 2395, 540, 519, 2256, 18967, 689, 519, 2754, 540, 519, 703, 11582, 540, 1010, 13393, 269, 1287, 519, 2754, 538, 2489, 5870, 949, 798, 865, 269, 4746, 269, 630, 320, 264, 476, 1556, 2395, 630, 321, 264, 476, 4029, 2395, 630, 322, 264, 476, 6078, 2395, 630, 323, 264, 476, 2641, 2395, 476, 2420, 269, 634, 1101, 2912, 6002, 4433, 264, 666, 581, 12912, 676, 519, 8274, 540, 6034, 832, 1369, 835, 3923, 540, 519, 4266, 540, 519, 25465, 540, 519, 2754, 269, 1772, 621, 25471, 585, 1169, 2754, 547, 6966, 11727, 2912, 6002, 547, 798, 519, 20894, 540, 519, 6589, 9738, 676, 519, 2754, 286, 630, 12148, 1315, 8771, 264, 476, 273, 269, 25375, 679, 10179, 919, 930, 540, 519, 7060, 540, 2912, 6002, 281, 630, 328, 264, 5272, 2912, 3218, 540, 513, 2754, 814, 1318, 540, 1863, 543, 2347, 1569, 693, 782, 2053, 547, 519, 2835, 269, 952, 519, 8274, 540, 6034, 832, 798, 711, 6966, 519, 1101, 2912, 6002, 269, 13322, 27702, 16877, 519, 8274, 540, 6034, 832, 547, 4383, 519, 12602, 540, 519, 2754, 269, 630, 4512, 264, 1261, 814, 849, 519, 1318, 547, 2154, 689, 519, 10492, 540, 519, 2754, 971, 1344, 543, 7778, 607, 949, 581, 2556, 585, 519, 2773, 540, 1010, 11645, 607, 2912, 3218, 269, 589, 1268, 786, 711, 581, 14718, 585, 13393, 607, 606, 2912, 3218, 540, 513, 2754, 952, 581, 269, 789, 666, 581, 6569, 676, 2818, 693, 741, 5870, 4371, 1354, 519, 1101, 589, 14875, 676, 4758, 513, 2027, 5469, 540, 606, 9837, 547, 4894, 873, 269, 2641, 269, 1215, 1082, 2395, 1354, 540, 27152, 5870, 513, 5469, 547, 581, 2366, 547, 1169, 4759, 540, 519, 2754, 269, 5272, 2912, 3218, 540, 513, 2754, 814, 1318, 540, 1863, 543, 2347, 1569, 693, 782, 2053, 547, 519, 2835, 269, 5272, 2912, 3218, 865, 12912, 269, 634, 1101, 2912, 6002, 3180, 5604, 2394, 519, 3932, 540, 519, 1101, 589, 14875, 540, 519, 2754, 269, 6589, 543, 642, 537, 7129, 540, 519, 2754, 2436, 6854, 693, 519, 2212, 5604, 610, 11992, 269, 8682, 10495, 5999, 476, 272, 269, 1217, 519, 7373, 32057, 538, 1603, 602, 646, 814, 7608, 519, 13393, 610, 814, 15189, 519, 1482, 269, 630, 13839, 264, 1261, 568, 13886, 547, 4309, 5469, 540, 543, 547, 7390, 2489, 11401, 540, 519, 2754, 543, 581, 4862, 593, 1022, 851, 540, 519, 1870, 799, 4145, 1864, 607, 2912, 3218, 269, 568, 12912, 543, 646, 3217, 1852, 540, 519, 2754, 269, 630, 12148, 1315, 8771, 264, 476, 1321, 269, 280, 10748, 3218, 898, 568, 25471, 585, 1169, 2754, 547, 6966, 11727, 2912, 6002, 547, 798, 519, 20894, 540, 519, 6589, 9738, 676, 519, 2754, 563, 1103, 2241, 1913, 23090, 909, 1797, 7311, 519, 7221, 540, 513, 2754, 538, 519, 11166, 540, 922, 20824, 543, 13059, 1022, 21045, 547, 1346, 13886, 547, 621, 269, 543, 18271, 621, 538, 930, 1870, 4732, 584, 15200, 1851, 519, 2818, 538, 13076, 609, 741, 2924, 269, 952, 1022, 269, 1015, 269, 589, 17319, 23090, 909, 896, 519, 15569, 540, 519, 7040, 269, 476, 1321, 269, 634, 27152, 1184, 676, 799, 713, 568, 6913, 568, 1572, 2048, 331, 1172, 9179, 9957, 2348, 922, 1378, 11769, 5094, 689, 922, 2818, 269, 476, 1321, 269, 8682, 10495, 5999, 476, 1240, 269, 10002, 4660, 593, 519, 8843, 6606, 4371, 676, 873, 269, 275, 4375, 269, 645, 269, 849, 1572, 25471, 23090, 909, 269, 476, 1321, 269, 476, 4198, 277, 1831, 513, 3656, 11769, 269, 589, 2754, 3908, 676, 8843, 568, 513, 10805, 2754, 2348, 519, 15668, 540, 922, 2818, 3908, 676, 922, 8357, 663, 636, 540, 7681, 547, 519, 2179, 269, 949, 581, 10288, 538, 2665, 5018, 538, 27116, 269, 634, 7040, 786, 1118, 606, 1931, 585, 23090, 909, 593, 606, 3498, 676, 1022, 540, 519, 7606, 21821, 539, 538, 27116, 269, 275, 3451, 269, 3794, 27443, 1547, 1744, 4100, 538, 513, 2754, 616, 4483, 762, 269, 1641, 547, 519, 1942, 540, 3257, 865, 269, 634, 27152, 1184, 676, 799, 713, 568, 6913, 568, 1572, 13322, 13090, 269, 543, 945, 2671, 519, 7443, 543, 2530, 16109, 972, 689, 269, 1323, 23070, 269, 654, 4193, 909, 540, 513, 2754, 15320, 689, 1202, 565, 1597, 1097, 540, 606, 1367, 538, 11047, 1276, 607, 513, 2754, 3112, 581, 1500, 1202, 565, 1203, 896, 519, 1202, 565, 1597, 1097, 1876, 269, 1323, 7681, 540, 7606, 269, 21816, 776, 23090, 909, 269, 2899, 11368, 896, 519, 14992, 2920, 269, 1556, 12834, 589, 2754, 568, 606, 7681, 540, 1082, 7606, 945, 3565, 2724, 610, 2724, 779, 4502, 547, 513, 1455, 6006, 269, 634, 2754, 269, 3281, 6160, 800, 23090, 909, 896, 606, 1931, 540, 519, 7040, 269, 1572, 513, 630, 320, 264, 28966, 1807, 630, 321, 264, 20180, 528, 630, 322, 264, 5685, 22083, 630, 323, 264, 7183, 476, 866, 269, 1015, 269, 273, 654, 4193, 909, 676, 519, 5480, 654, 4193, 909, 676, 519, 7040, 269, 922, 2818, 616, 711, 607, 971, 25964, 585, 922, 22440, 269, 272, 3525, 525, 540, 23090, 909, 589, 2754, 949, 581, 10138, 909, 538, 1022, 540, 519, 1739, 1079, 2081, 281, 589, 269, 1373, 513, 5094, 1268, 269, 595, 269, 1256, 513, 19857, 2754, 949, 581, 10138, 909, 269, 14755, 563, 275, 269, 1548 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 630, 30061, 3090, 715, 267, 10570, 1297, 476, 278, 264, 12851, 547, 1895, 476, 276, 288, 269, 898, 4061, 814, 2947, 32447, 9211, 269, 4706, 32447, 7387, 1869, 606, 26138, 282, 2483, 347, 17138, 1475, 10573, 4263, 5669, 543, 17449, 12856, 2008, 347, 21812, 1475, 10573, 763, 25347, 14539, 6828, 910, 476, 1001, 272, 268, 4905, 268, 1428, 347, 0, 288, 1007, 3486, 1353, 5641, 338, 8969, 593, 519, 3056, 3069, 540, 1018, 3123, 4672, 6502, 1472, 519, 1158, 4534, 2242, 538, 519, 1259, 519, 3047, 25057, 519, 3141, 563, 763, 3173, 1336, 602, 27224, 3350, 538, 519, 8828, 25955, 568, 6766, 5097, 676, 4262, 2627, 2837, 543, 11626, 3327, 8166, 2864, 982, 2242, 538, 519, 3047, 781, 10739, 267, 799, 616, 2219, 547, 5397, 519, 4434, 543, 18956, 540, 4672, 9212, 538, 519, 8832, 25955, 563, 763, 4681, 2408, 538, 519, 4760, 30578, 269, 589, 7300, 568, 2139, 593, 7662, 563, 763, 1353, 12651, 2055, 827, 519, 6660, 1678, 990, 3558, 3069, 540, 2916, 267, 799, 3081, 519, 7269, 543, 19432, 540, 8832, 25955, 18626, 4672, 9212, 616, 6766, 676, 28023, 15088, 538, 3859, 5982, 8515, 1813, 547, 530, 984, 7632, 538, 519, 3047, 781, 10739, 282, 1346, 20771, 15088, 1058, 723, 606, 6587, 1198, 593, 8828, 25955, 22260, 563, 257, 13434, 3581, 540, 2250, 20296, 2242, 616, 519, 1152, 2601, 3744, 616, 2111, 547, 3589, 875, 519, 1158, 786, 1689, 538, 519, 2104, 1813, 547, 8337, 269, 634, 811, 649, 1174, 827, 519, 2014, 540, 1804, 20296, 2242, 543, 875, 519, 9023, 610, 8337, 6786, 2951, 1472, 519, 1158, 267, 519, 1732, 649, 666, 3589, 543, 3082, 547, 2104, 2242, 2437, 3081, 1291, 2278, 7705, 667, 965, 1399, 267, 513, 30961, 2520, 6048, 693, 667, 691, 17625, 5441, 945, 2090, 1715, 10215, 7823, 22260, 547, 1174, 1018, 3123, 1804, 8397, 2518, 20296, 1689, 971, 607, 4672, 6502, 269, 834, 5978, 2164, 1448, 547, 519, 2956, 540, 3049, 10587, 4534, 513, 5114, 1369, 519, 2916, 1062, 602, 666, 24244, 519, 3355, 2916, 1689, 267, 971, 607, 3579, 5210, 3056, 547, 3677, 4672, 9212, 267, 799, 2992, 811, 7943, 267, 799, 3579, 338, 519, 4541, 2417, 269, 634, 811, 649, 917, 827, 519, 9588, 543, 3928, 540, 891, 2242, 543, 519, 1732, 649, 666, 2491, 891, 4296, 267, 519, 811, 7347, 2916, 3631, 666, 581, 538, 17782, 2104, 1689, 4799, 763, 3173, 1031, 2143, 11837, 543, 536, 2044, 961, 1756, 268, 1015, 2627, 4598, 6580, 540, 4672, 21943, 2849, 664, 525, 910, 610, 7725, 20024, 950, 22260, 1847, 4534, 538, 1715, 10215, 781, 8828, 32595, 267, 1141, 519, 22260, 941, 1454, 8273, 538, 519, 2250, 269, 634, 6580, 1505, 3800, 536, 2044, 961, 1756, 268, 1015, 267, 513, 8356, 743, 728, 3812, 538, 7725, 950, 789, 616, 13351, 676, 17184, 12345, 269, 634, 3173, 4857, 693, 2547, 5722, 14501, 540, 5021, 27224, 7269, 1282, 519, 2063, 4672, 2085, 267, 543, 789, 849, 18584, 519, 6502, 540, 2185, 18615, 2849, 12578, 31393, 269, 634, 2164, 4951, 602, 1715, 10215, 22260, 941, 1804, 693, 519, 1482, 942, 602, 1804, 4672, 9212, 4988, 22778, 807, 543, 4516, 1282, 519, 2063, 4672, 2085, 827, 476, 736, 267, 1822, 1296, 3516, 269, 901, 2306, 2631, 538, 602, 519, 2898, 1158, 729, 4411, 693, 519, 1482, 942, 267, 855, 519, 6660, 1678, 990, 3558, 3069, 1058, 723, 6587, 2360, 585, 519, 8832, 543, 8828, 12920, 7371, 12742, 267, 543, 3976, 3112, 2491, 519, 15222, 748, 4434, 540, 22260, 1472, 519, 8608, 269, 19881, 2090, 723, 3254, 602, 16266, 534, 22260, 538, 519, 7013, 1656, 525, 849, 723, 1044, 1804, 693, 519, 1482, 942, 607, 8832, 25955, 4672, 9212, 563, 763, 6502, 540, 519, 2185, 1715, 10215, 31393, 910, 827, 476, 3374, 267, 4335, 282, 476, 2767, 267, 10204, 282, 476, 736, 267, 17734, 282, 543, 476, 1240, 267, 23310, 1296, 2025, 4534, 3079, 5447, 609, 2053, 540, 16830, 4262, 2627, 5210, 1055, 519, 5032, 540, 1715, 10215, 1759, 593, 21369, 7286, 11159, 23780, 269, 634, 12557, 540, 519, 8832, 25955, 781, 4672, 6502, 543, 1804, 4672, 9212, 568, 1869, 533, 3166, 676, 875, 3047, 25057, 519, 6129, 267, 855, 875, 519, 9023, 543, 8337, 6786, 616, 11843, 1472, 519, 1158, 814, 711, 1044, 4628, 6045, 267, 4352, 5836, 14768, 630, 6503, 4287, 267, 3432, 543, 2837, 264, 1404, 513, 1713, 1909, 563, 8334, 667, 965, 1399, 568, 2139, 547, 6085, 693, 7705, 8160, 6185, 965, 1399, 287, 323, 691, 17625, 12975, 563, 763, 1353, 729, 5342, 676, 3744, 689, 667, 691, 17625, 267, 519, 2160, 540, 19051, 267, 12052, 2160, 267, 717, 10064, 3163, 267, 2160, 540, 14642, 5979, 267, 2160, 540, 4826, 31846, 267, 2160, 540, 4993, 5174, 518, 18403, 543, 18039, 20506, 3467, 2817, 12524, 563, 289, 5802, 4751, 801, 3930, 281, 667, 691, 17625, 814, 7641, 543, 5925, 801, 3930, 2139, 585, 11042, 269, 1280, 811, 1344, 267, 3643, 281, 5291, 2517, 4178, 563, 11990, 15434, 1067, 1923, 31823, 2336, 308, 5746, 543, 8331, 3561, 18965, 27224, 13621, 538, 4639, 19778, 454, 2918, 269, 1015, 269, 1001, 277, 1923, 2160, 540, 4993, 910, 7054, 341, 710, 454, 296, 576, 15808, 21513, 2014, 8966, 6329, 538, 21303, 5790, 454, 1839, 269, 1015, 269, 1001, 277, 1923, 1977, 2983, 26491, 5742, 454, 19575, 571, 9724, 22795, 723, 5189, 1007, 7399, 538, 23678, 1324, 16600, 325, 710, 3889, 267, 543, 3744, 616, 1631, 849, 14236, 875, 547, 946, 873, 547, 1696, 577, 2890, 560, 23461, 883, 6094, 4837, 269, 1703, 616, 2009, 3156, 538, 12642, 630, 18350, 593, 513, 13863, 264, 543, 2523, 538, 11418, 543, 519, 7082, 5823, 267, 1141, 1390, 1719, 814, 1044, 3254, 563, 1607, 1007, 1505, 729, 4535, 540, 513, 9670, 7613, 281, 23735, 11868, 4837, 538, 513, 1880, 1259, 609, 606, 16600, 9724, 8955, 814, 519, 1198, 540, 1818, 519, 4837, 909, 547, 513, 2483, 307, 5028, 615, 16379, 29835, 540, 5697, 12627, 21513, 5012, 547, 606, 2500, 6419, 2361, 602, 11479, 17396, 8095, 5163, 454, 6944, 13764, 6198, 3601, 676, 1769, 568, 835, 540, 519, 6264, 3853, 538, 2413, 27772, 2339, 6323, 543, 2326, 2257, 269, 589, 1007, 1353, 1631, 9727, 875, 2483, 12867, 689, 519, 4659, 585, 17747, 17270, 630, 296, 304, 290, 264, 693, 519, 2160, 540, 4826, 31846, 3366, 519, 1646, 540, 513, 1007, 970, 839, 1043, 11443, 4480, 5827, 540, 9013, 21367, 532, 7061, 11353, 267, 8204, 513, 1713, 1900, 2509, 547, 519, 20185, 540, 513, 27249, 7061, 2780, 563, 10454, 7061, 23094, 568, 513, 11443, 1505, 602, 3096, 1614, 8820, 12904, 1759, 593, 5614, 2000, 1933, 539, 20382, 547, 2232, 1367, 844, 23605, 2437, 1767, 22819, 3240, 645, 2946, 13568, 514, 267, 513, 12854, 2483, 1103, 513, 1957, 538, 11660, 18614, 267, 513, 1382, 2319, 693, 1937, 31569, 12443, 23855, 545, 4659, 6257, 513, 3209, 1769, 19840, 17300, 7613, 602, 1223, 1831, 519, 4493, 585, 3156, 607, 3309, 607, 18784, 18951, 17680, 13827, 543, 811, 3608, 3859, 2281, 563, 288, 1382, 2319, 693, 1937, 31569, 12443, 23855, 545, 4659, 630, 310, 18444, 264, 814, 2919, 513, 12316, 267, 1769, 19840, 17300, 19202, 6289, 24899, 22683, 1570, 602, 666, 581, 1031, 2483, 3528, 3196, 2685, 32750, 1079, 13339, 8444, 538, 513, 14776, 5119, 267, 9995, 807, 3173, 723, 7152, 585, 519, 1101, 942, 593, 513, 2582, 13863, 782, 519, 3334, 2877, 547, 1711, 513, 7061, 8115, 547, 3095, 7061, 5904, 1927, 563, 257, 10144, 723, 2907, 3710, 1507, 7061, 5904, 2437, 3081, 9995, 807, 11001, 24138, 6682, 778, 334, 269, 834, 28646, 519, 1101, 3730, 835, 4465, 1405, 581, 513, 2582, 9649, 7061, 2780, 2483, 1691, 269, 1015, 269, 1001, 277, 1923, 7926, 5240, 454, 1691, 269, 1015, 269, 1001, 277, 1923, 7926, 5240, 454, 1321, 269, 1015, 269, 1001, 277, 1923, 7926, 5240, 454, 2767, 269, 1015, 269, 1001, 277, 1923, 10049, 7070, 454, 2767, 269, 1015, 269, 1001, 277, 1923, 8212, 543, 18395, 454, 2767, 269, 1015, 269, 1001, 277, 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 ]
[ 2589, 616, 4810, 563, 4089, 476, 280, 910, 11682, 22076, 13965, 6730, 595, 4047, 300, 13965, 11550, 25807, 25765, 454, 16498, 3557, 281, 28966, 454, 21760, 281, 3592, 2681, 1652, 454, 302, 323, 528, 281, 8984, 17627, 454, 335, 295, 281, 3502, 2139, 563, 309, 8388, 16242, 281, 2999, 476, 271, 269, 4905, 6515, 29666, 7711, 476, 736, 2554, 595, 454, 309, 4593, 13920, 281, 476, 273, 269, 4375, 524, 303, 476, 736, 2554, 595, 454, 22517, 4979, 8672, 281, 476, 16348, 2554, 595, 7711, 476, 31318, 6515, 32074, 454, 10403, 4506, 19072, 601, 1154, 8672, 281, 910, 2568, 2554, 595, 454, 8505, 334, 793, 819, 18323, 281, 476, 20542, 2554, 595, 630, 476, 276, 3445, 269, 876, 2554, 674, 994, 14503, 1662, 8672, 281, 476, 6200, 2554, 595, 630, 476, 22659, 269, 3199, 2554, 674, 994, 7336, 8531, 7799, 1080, 267, 2539, 281, 3502, 2139, 563, 7336, 8531, 7799, 1080, 267, 5580, 281, 3502, 2139, 563, 22069, 28169, 538, 1216, 281, 476, 271, 269, 274, 260, 7711, 476, 736, 290, 454, 11854, 6900, 32322, 22230, 3748, 281, 1547, 279, 3199, 271, 326, 30763, 274, 454, 300, 12817, 16754, 281, 595, 1321, 295, 2918, 302, 274, 454, 300, 12817, 13379, 281, 476, 25908, 269, 4097, 454, 4089, 476, 1015, 910, 5254, 5723, 6579, 14510, 6730, 11555, 3722, 30888, 14510, 454, 1805, 762, 896, 3339, 5210, 543, 12503, 269, 12559, 528, 2125, 3327, 8166, 689, 519, 2011, 269, 2904, 31693, 3423, 1836, 593, 3346, 609, 6491, 878, 3679, 563, 30812, 1431, 547, 3680, 912, 1103, 4818, 26702, 2326, 267, 4430, 3002, 267, 2178, 12444, 1218, 563, 1103, 4818, 520, 4850, 609, 4033, 10049, 912, 1805, 3994, 12444, 1944, 8069, 267, 2178, 7408, 267, 7601, 267, 7601, 23212, 563, 295, 1794, 731, 748, 1546, 1260, 6570, 15733, 912, 27793, 24785, 267, 8886, 908, 543, 6757, 32669, 543, 9362, 267, 3327, 8166, 267, 1035, 5090, 8673, 543, 32669, 563, 295, 1794, 731, 748, 12443, 1067, 1436, 281, 13201, 711, 1044, 4080, 563, 4089, 476, 1556, 910, 9215, 311, 2975, 12471, 13965, 5442, 19489, 7246, 3582, 454, 290, 3008, 258, 476, 12208, 268, 10463, 268, 273, 281, 918, 301, 271, 3374, 1822, 271, 31298, 2004, 270, 9448, 2004, 912, 290, 3008, 258, 476, 12208, 268, 10463, 268, 273, 281, 17327, 267, 3731, 281, 31298, 2004, 815, 476, 29496, 271, 8406, 21515, 282, 16164, 267, 15529, 281, 31298, 2004, 815, 476, 29024, 271, 579, 299, 21515, 563, 13312, 26120, 28340, 546, 756, 583, 2643, 552, 750, 910, 3502, 7396, 676, 8028, 22835, 295, 267, 594, 2752, 290, 267, 610, 715, 9143, 563, 8450, 4890, 7127, 538, 21512, 4488, 306, 585, 2347, 1344, 563, 4089, 476, 1321, 910, 661, 4596, 299, 8104, 13965, 5442, 19489, 7246, 3582, 454, 8448, 3143, 1344, 2139, 563, 4089, 476, 1724, 910, 20591, 303, 5308, 3201, 12164, 306, 2839, 2207, 25972, 454, 11514, 2821, 540, 538, 513, 6073, 5812, 609, 5313, 267, 1533, 267, 543, 2199, 6042, 563, 4089, 476, 1691, 910, 13138, 3198, 9915, 18306, 5442, 19489, 7246, 3582, 454, 4537, 6235, 8745, 281, 3502, 3204, 4327, 454, 4537, 6235, 8745, 281, 3502, 3204, 4327, 454, 4537, 6235, 8745, 281, 3502, 3204, 4327, 454, 295, 1794, 731, 4147, 281, 476, 274, 454, 303, 22326, 1895, 281, 8633, 454, 4089, 476, 1428, 910, 681, 9680, 8085, 2969, 12088, 5442, 19489, 7246, 3582, 454, 28158, 6997, 9934, 538, 6452, 867, 766, 609, 10566, 6034, 1161, 454, 295, 1794, 731, 29062, 281, 3502, 2139, 563, 306, 476, 2190, 270, 1839, 3680, 3346, 609, 2960, 543, 4064, 563, 310, 294, 298, 630, 12850, 667, 9734, 270, 3682, 339, 1254, 994, 290, 3008, 258, 476, 12208, 268, 10463, 268, 273, 281, 3143, 1344, 2139, 563, 290, 3008, 258, 476, 12208, 268, 10463, 268, 273, 568, 7396, 593, 4516, 781, 667, 20784, 5903, 563, 290, 3008, 258, 476, 12208, 268, 10463, 268, 273, 568, 711, 7396, 593, 4516, 781, 16016, 1042, 1304, 2598, 26918, 5903, 563, 290, 3008, 258, 476, 12208, 268, 10463, 268, 273, 568, 7396, 593, 519, 570, 306, 7563, 11891, 563, 306, 4488, 3582, 476, 1626, 910, 5084, 14888, 3582, 3201, 5442, 19489, 7246, 3582, 0, 303, 7748, 1229, 519, 6323, 540, 3504, 18840, 1670, 2326, 454, 12385, 11490, 1014, 282, 18368, 6444, 585, 1010, 14222, 8441, 538, 796, 4328, 519, 6310, 4610, 540, 7223, 543, 2079, 454, 18693, 32554, 626, 282, 5494, 2642, 602, 519, 2295, 7472, 513, 9449, 267, 519, 2311, 7434, 14844, 686, 675, 6776, 16748, 630, 3198, 293, 994, 12421, 14260, 12021, 22301, 945, 267, 609, 1010, 7015, 8834, 267, 7229, 519, 1871, 540, 14039, 547, 513, 1007, 1158, 2594, 563, 26073, 6048, 269, 31603, 513, 8760, 1062, 585, 22787, 2295, 3676, 454, 2750, 13630, 593, 887, 326, 826, 6329, 543, 5836, 29500, 454, 310, 517, 519, 17587, 16101, 538, 7998, 585, 4974, 6475, 4483, 6547, 454, 1103, 1203, 539, 6310, 6915, 31754, 454, 763, 4651, 540, 666, 7637, 281, 513, 2030, 9742, 518, 945, 9927, 22850, 3150, 539, 883, 606, 17580, 3282, 23092, 7693, 1967, 1650, 454, 293, 13904, 585, 4974, 610, 8619, 16385, 543, 18445, 519, 2360, 540, 4262, 561, 823, 689, 13687, 11396, 593, 3552, 7414, 13687, 2338, 563, 7049, 2045, 626, 543, 2257, 3868, 1807, 281, 4583, 607, 2442, 6500, 540, 2257, 543, 8733, 2152, 454, 300, 11474, 856, 519, 6198, 2127, 540, 519, 19548, 16794, 454, 28657, 779, 1101, 4775, 6046, 21997, 454, 6944, 30744, 2101, 2093, 827, 519, 6138, 540, 7350, 543, 16817, 1143, 454, 14976, 1075, 9179, 540, 519, 6323, 540, 8095, 476, 1182, 282, 3069, 540, 22762, 29182, 1922, 745, 1598, 730, 6419, 2326, 543, 519, 8095, 4672, 2666, 1533, 538, 7510, 549, 577, 331, 648, 22197, 563, 14946, 539, 6310, 6436, 540, 1895, 11269, 543, 1297, 3069, 454, 5575, 547, 30075, 7319, 13427, 543, 1082, 1973, 7998, 7135, 454, 11577, 913, 17243, 540, 15397, 974, 779, 14497, 454, 7343, 29736, 519, 3069, 540, 30709, 332, 690, 528, 990, 6988, 454, 13328, 6392, 593, 519, 11976, 540, 12216, 2068, 454, 22137, 20344, 540, 11409, 538, 519, 2634, 543, 11983, 16147, 454, 5327, 11220, 595, 28240, 476, 2568, 4559, 585, 2126, 540, 2860, 454, 5575, 4807, 2520, 6048, 538, 4516, 267, 4274, 538, 12779, 32223, 21272, 454, 293, 1430, 540, 2413, 2520, 17190, 543, 2518, 1689, 454, 12421, 14260, 4583, 2825, 626, 543, 14368, 6048, 454, 3080, 540, 519, 1158, 779, 19466, 8128, 593, 16835, 454, 3080, 540, 4516, 781, 1034, 7986, 7811, 2447, 1235, 267, 21751, 538, 7636, 2497, 543, 2746, 2032, 563, 21357, 21997, 282, 16588, 540, 519, 2319, 602, 2919, 519, 1101, 595, 28240, 476, 2568, 4559, 585, 2860, 2126, 454, 303, 7748, 1229, 519, 2856, 540, 1210, 3165, 5798, 547, 1353, 519, 2360, 540, 2860, 4929, 6878, 593, 1591, 2208, 563, 11577, 2642, 3023, 6985, 11294, 454, 6944, 30744, 547, 519, 3069, 540, 6475, 4483, 6547, 538, 3114, 1949, 454, 288, 1158, 6205, 538, 11095, 7350, 454, 14946, 539, 519, 1101, 543, 1869, 1034, 4922, 1031, 1973, 1449, 585, 1978, 2010, 540, 2860, 454, 10870, 27059, 519, 1101, 20749, 2139, 6475, 17209, 538, 3345, 3013, 454, 27288, 5158, 7350, 543, 2825, 1374, 454, 12421, 14260, 6444, 585, 1200, 3301, 585, 12719, 10570, 2497, 267, 543, 585, 1382, 538, 10570, 2497, 3069, 563, 10907, 13094, 607, 519, 834, 293, 1430, 540, 22944, 2437, 8751, 331, 8657, 11827, 22127, 6176, 7010, 607, 513, 1259, 547, 5659, 13664, 1239, 563, 16524, 2165, 1353, 936, 17288, 1296, 540, 519, 590, 699, 928, 1326, 328, 267, 2870, 513, 2143, 4605, 540, 835, 540, 519, 1158, 781, 9510, 5266, 16856, 8134, 563, 293, 13904, 16362, 26861, 13011, 1014, 454, 14946, 539, 513, 16866, 1505, 585, 16326, 14677, 1460, 2860, 454, 10468, 9951, 626, 543, 6205, 538, 3384, 1007, 2645, 585, 5868, 543, 5574, 585, 1004, 7092, 689, 12216, 781, 2068, 563, 32046, 676, 519, 2257, 28022, 2319, 267, 14645, 9736, 476, 1220, 272, 267, 476, 1001, 276, 717, 5425, 3194, 5980, 269, 6250, 3218, 6876, 269, 0, 5804, 9504, 267, 519, 1863, 22605, 454, 288, 3630, 5069, 21563, 534, 267, 610, 20574, 630, 323, 1221, 476, 6942, 276, 264, 729, 513, 1863, 3109, 812, 4171, 3484, 593, 30895, 23374, 2282, 5192, 339, 903, 7921, 267, 12425, 267, 729, 2282, 519, 12473, 10938, 540, 519, 1340, 539, 17292, 9116, 781, 932, 1618, 1282, 519, 3791, 1554, 540, 519, 11135, 540, 5192, 339, 903, 7921, 269, 8549, 10136, 17479, 1472, 21563, 534, 781, 3043, 13195, 1117, 2777, 543, 28561, 941, 14213, 539, 676, 20752, 10136, 896, 519, 4971, 540, 808, 269, 3627, 8725, 8891, 339, 580, 4319, 563, 1103, 476, 6977, 278, 267, 21563, 534, 12349, 513, 1507, 3484, 1175, 5045, 540, 519, 4884, 2059, 519, 1970, 30895, 23374, 269, 1261, 4166, 4503, 1010, 7385, 543, 1185, 547, 6318, 2947, 1453, 593, 1010, 1378, 2394, 646, 1121, 541, 3072, 513, 3791, 7385, 563, 7628, 519, 5192, 339, 903, 7921, 22411, 538, 3735, 4873, 476, 5908, 274, 267, 7264, 1519, 21563, 534, 4862, 5359, 540, 519, 1935, 540, 20752, 10136, 269, 21563, 534, 543, 1896, 824, 17051, 2451, 519, 1858, 547, 2057, 1022, 7872, 540, 7001, 543, 17760, 29713, 269, 3571, 1507, 3484, 729, 538, 4395, 540, 519, 5742, 1899, 593, 30895, 23374, 267, 543, 729, 519, 3077, 540, 513, 3303, 1243, 4323, 676, 20752, 10136, 689, 14967, 563, 5475, 519, 6370, 1185, 8694, 543, 646, 8120, 267, 21563, 534, 4362, 1010, 2777, 729, 5176, 10032, 282, 922, 6821, 4904, 609, 16886, 9475, 267, 9486, 7745, 267, 543, 11647, 19184, 539, 827, 269, 3571, 31966, 941, 8854, 267, 7031, 911, 332, 9482, 267, 543, 1010, 15250, 731, 4054, 941, 24631, 269, 21563, 534, 7608, 606, 27592, 547, 4217, 538, 519, 6450, 584, 658, 540, 4666, 5742, 7980, 269, 1261, 729, 6035, 513, 13362, 829, 1560, 602, 646, 25653, 909, 593, 519, 5318, 25071, 547, 581, 5368, 614, 1042, 538, 519, 2817, 30895, 269, 13536, 267, 21563, 534, 19429, 513, 3409, 609, 519, 8549, 2229, 585, 14796, 547, 1010, 3959, 9103, 16226, 1269, 272, 267, 271, 2764, 269, 1717, 267, 646, 1152, 4607, 1269, 1428, 607, 13180, 563, 288, 3630, 5069, 21563, 534, 5747, 538, 476, 6942, 276, 543, 568, 12617, 538, 5192, 339, 903, 7921, 609, 1010, 1101, 1079, 24726, 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 ]
[ 6082, 269, 2755, 2272, 3599, 568, 519, 2257, 540, 6666, 267, 2883, 2359, 568, 519, 1382, 540, 2724, 269, 634, 1382, 540, 891, 476, 274, 3584, 11226, 596, 1118, 15931, 5079, 585, 707, 3028, 543, 1367, 1272, 269, 1411, 666, 849, 2097, 547, 581, 513, 14468, 13075, 4274, 269, 901, 1576, 666, 948, 596, 538, 707, 4305, 3406, 607, 1134, 607, 1118, 21273, 2804, 3664, 269, 1306, 606, 1383, 267, 596, 666, 4019, 707, 1620, 540, 12948, 547, 1114, 18125, 540, 707, 1169, 1554, 1272, 563, 1103, 8804, 267, 596, 666, 1265, 835, 540, 519, 1034, 4105, 2798, 547, 798, 547, 1118, 606, 3919, 29988, 269, 1280, 1383, 267, 596, 666, 4983, 519, 12178, 607, 1134, 607, 15314, 2404, 609, 513, 1808, 4305, 269, 1411, 666, 2689, 519, 2804, 4220, 607, 1134, 607, 2640, 540, 513, 2816, 269, 5047, 267, 596, 666, 10123, 1491, 1416, 540, 12178, 607, 1134, 607, 7221, 269, 1403, 596, 723, 1620, 3823, 519, 1114, 18125, 540, 2724, 267, 596, 666, 6023, 707, 6666, 538, 835, 540, 519, 1034, 3608, 1259, 269, 898, 568, 1898, 547, 1589, 827, 782, 891, 2188, 269, 1703, 616, 930, 5383, 607, 1134, 607, 2942, 3344, 829, 1826, 540, 5092, 563, 763, 13075, 1062, 568, 519, 1062, 1500, 946, 540, 547, 1491, 1416, 540, 2724, 269, 901, 2882, 25137, 267, 24228, 267, 543, 10115, 269, 1411, 666, 18359, 267, 10210, 267, 543, 849, 1902, 269, 1703, 616, 1082, 2609, 547, 2508, 543, 849, 596, 666, 1451, 811, 3823, 621, 689, 519, 1576, 269, 3958, 267, 596, 666, 1711, 707, 1983, 607, 1134, 607, 1451, 811, 827, 519, 1858, 269, 1403, 596, 723, 513, 5679, 871, 585, 2979, 267, 596, 666, 1376, 707, 1378, 1870, 538, 713, 1858, 269, 901, 2361, 568, 519, 1360, 1655, 3903, 585, 24455, 10478, 585, 6009, 602, 786, 6157, 4217, 596, 4228, 707, 3028, 563, 2467, 616, 6266, 540, 5383, 547, 8804, 269, 898, 666, 948, 596, 1118, 1732, 5079, 827, 707, 3919, 267, 543, 849, 621, 666, 11338, 581, 513, 3959, 585, 707, 2123, 1272, 269, 1635, 4466, 856, 827, 519, 17950, 540, 2724, 267, 596, 666, 1118, 519, 1360, 1655, 5079, 7282, 707, 6666, 269, 1879, 596, 1265, 856, 519, 9238, 540, 8804, 267, 596, 786, 581, 2111, 547, 1118, 513, 1732, 13075, 3375, 269, 13966, 609, 713, 267, 621, 666, 10123, 5351, 596, 6023, 707, 18083, 269, 1635, 9301, 519, 30304, 540, 2724, 267, 596, 786, 581, 513, 1732, 16724, 607, 1134, 607, 786, 581, 811, 3811, 563, 2691, 621, 3322, 8804, 267, 621, 568, 1898, 547, 917, 519, 21441, 1063, 14104, 543, 849, 20894, 269, 1879, 621, 2501, 547, 1433, 15209, 267, 2724, 3800, 519, 2804, 7024, 540, 606, 3919, 676, 16107, 519, 3854, 540, 519, 4182, 269, 1703, 616, 476, 273, 2101, 5686, 540, 2883, 2200, 281, 12948, 543, 24228, 269, 634, 5449, 568, 6353, 676, 1164, 6612, 543, 849, 1970, 8594, 269, 634, 2063, 568, 513, 2883, 5092, 1505, 602, 568, 8246, 547, 1118, 2883, 9541, 538, 519, 6006, 5385, 269, 901, 4990, 540, 12948, 568, 6140, 1500, 946, 540, 547, 6023, 7616, 540, 606, 3919, 269, 5680, 13505, 454, 289, 3471, 267, 23831, 9872, 267, 543, 849, 5491, 3556, 1870, 616, 519, 1034, 1455, 2883, 5238, 538, 519, 1158, 269, 2755, 1312, 540, 891, 616, 1898, 267, 789, 723, 741, 3604, 538, 519, 1377, 789, 1289, 585, 269, 589, 4871, 666, 2709, 596, 6666, 585, 11449, 513, 1870, 779, 3688, 269, 589, 1753, 10211, 568, 513, 2186, 540, 8804, 269, 589, 2883, 9872, 786, 2709, 596, 6666, 585, 16565, 513, 1753, 267, 1247, 513, 10211, 568, 513, 4990, 540, 2883, 5092, 269, 2755, 6180, 326, 1137, 616, 513, 2603, 811, 3902, 344, 982, 513, 14104, 267, 789, 723, 519, 5207, 2009, 3928, 540, 1719, 269, 0, 5327, 20696, 5675, 666, 581, 835, 540, 519, 1034, 2352, 1983, 585, 1053, 547, 4487, 269, 634, 1390, 3377, 568, 602, 10855, 1603, 666, 581, 1031, 2066, 519, 1641, 4604, 269, 4841, 666, 2328, 827, 519, 3163, 1788, 789, 6192, 538, 1362, 267, 610, 2328, 513, 5037, 10503, 3140, 2621, 585, 4317, 5525, 563, 3080, 540, 1250, 5172, 10855, 1603, 5751, 568, 2348, 1053, 946, 741, 476, 276, 12823, 547, 2328, 827, 606, 1995, 269, 9105, 1053, 547, 2007, 883, 741, 3965, 540, 519, 2680, 543, 2328, 1524, 1018, 789, 4718, 267, 1159, 8215, 267, 13820, 539, 267, 5433, 267, 543, 4862, 563, 5415, 29149, 5675, 9669, 912, 268, 8073, 2312, 4845, 4808, 543, 1683, 1806, 454, 268, 12706, 513, 4881, 1592, 540, 21371, 543, 740, 18690, 602, 519, 2875, 666, 1569, 1247, 1603, 454, 268, 29130, 3244, 3796, 543, 5450, 777, 4243, 267, 543, 5000, 1053, 547, 946, 873, 538, 741, 1603, 2853, 454, 268, 6657, 1419, 256, 4841, 1058, 2259, 741, 1603, 1983, 4948, 267, 799, 666, 1331, 1863, 11339, 267, 1603, 3211, 267, 543, 1557, 2259, 563, 293, 12767, 20796, 16775, 4047, 4953, 256, 594, 4076, 7923, 1250, 476, 276, 590, 5151, 29149, 5675, 8018, 585, 596, 547, 2119, 609, 707, 2875, 269, 17949, 256, 0, 763, 744, 985, 564, 540, 7216, 17897, 14175, 6420, 543, 922, 11068, 4149, 28026, 595, 612, 566, 538, 519, 12144, 563, 293, 27518, 267, 476, 866, 5412, 476, 1001, 275, 454, 763, 5993, 11811, 4783, 585, 519, 12144, 16935, 8761, 513, 3982, 536, 574, 27567, 4806, 609, 19589, 1282, 519, 3735, 5614, 543, 3735, 4832, 3275, 269, 589, 3448, 5934, 1282, 519, 4571, 1606, 28026, 267, 1634, 607, 519, 4571, 1606, 28026, 10980, 630, 5960, 291, 264, 24508, 519, 2038, 11811, 4005, 630, 8991, 264, 689, 519, 3735, 11811, 4005, 269, 6452, 636, 4327, 11811, 9103, 1023, 1282, 519, 661, 11965, 2408, 607, 513, 29610, 3613, 566, 776, 4764, 1532, 3881, 15198, 2066, 519, 12144, 689, 519, 22236, 547, 519, 22583, 269, 1284, 1747, 3735, 5614, 22856, 538, 519, 12144, 538, 2796, 540, 824, 31210, 19427, 10851, 538, 1931, 547, 2232, 519, 12614, 543, 29696, 540, 519, 661, 11965, 1247, 849, 5356, 606, 7778, 540, 513, 12144, 4764, 1532, 3881, 4806, 269, 16592, 7708, 1842, 335, 8879, 530, 6856, 15533, 267, 4571, 2389, 549, 1842, 335, 8879, 2318, 2837, 740, 557, 794, 267, 543, 5848, 1970, 1377, 15393, 1189, 2095, 616, 519, 1614, 3119, 5820, 602, 17736, 790, 547, 3132, 519, 1101, 8445, 540, 519, 5993, 536, 574, 27567, 4764, 5365, 543, 519, 1644, 12144, 2038, 4005, 4764, 1532, 3881, 269, 634, 9049, 291, 1671, 1132, 607, 519, 3119, 5820, 14020, 2066, 519, 12144, 543, 8476, 11811, 10593, 5087, 2059, 519, 3345, 9533, 20593, 10885, 18630, 630, 2793, 290, 313, 1040, 17897, 531, 11811, 9103, 1023, 689, 519, 661, 11965, 998, 519, 9049, 291, 5712, 7866, 513, 6024, 4764, 1532, 3881, 602, 11498, 689, 519, 12144, 547, 519, 715, 3722, 313, 17941, 519, 12144, 9533, 14175, 1532, 3881, 630, 290, 2752, 1532, 3881, 1040, 634, 2961, 1532, 3881, 568, 1459, 538, 519, 1279, 2165, 1611, 267, 855, 814, 4191, 540, 954, 2335, 783, 13260, 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 ]
[ 12770, 267, 11404, 281, 25067, 1299, 25860, 269, 6931, 267, 700, 1421, 2107, 8243, 1180, 267, 717, 1421, 8779, 518, 267, 654, 1421, 595, 7897, 267, 661, 269, 630, 1001, 272, 1040, 19198, 540, 10708, 543, 4079, 609, 10295, 8552, 4713, 538, 15990, 281, 634, 1909, 540, 1514, 1489, 543, 12003, 538, 1920, 611, 2194, 566, 543, 14774, 1134, 5630, 269, 3194, 538, 20150, 25400, 15136, 267, 476, 276, 267, 476, 13893, 268, 14444, 269, 631, 24065, 752, 553, 267, 595, 269, 630, 1960, 277, 1040, 26263, 1580, 1670, 1382, 2409, 269, 23897, 663, 744, 6545, 267, 11404, 281, 590, 720, 23549, 269, 31881, 32221, 267, 590, 1421, 1299, 23715, 985, 267, 918, 269, 589, 269, 630, 1220, 277, 1040, 30487, 991, 585, 1514, 1489, 538, 3237, 540, 1453, 609, 10295, 543, 1524, 6794, 269, 4750, 540, 20150, 1299, 25833, 15136, 267, 476, 3607, 263, 278, 1070, 476, 280, 2641, 268, 280, 3451, 269, 8055, 267, 700, 1421, 15173, 267, 808, 1421, 590, 3881, 10045, 267, 631, 1421, 5682, 6199, 267, 808, 1421, 1325, 1889, 5866, 267, 667, 1421, 1299, 21674, 267, 590, 269, 630, 1001, 271, 1040, 11545, 2833, 1851, 11299, 540, 10708, 543, 4079, 609, 10295, 8552, 4524, 269, 4750, 540, 20150, 1299, 25833, 15136, 267, 476, 2412, 263, 273, 1070, 476, 15757, 268, 9965, 269, 0, 303, 19948, 593, 6249, 281, 834, 2419, 2526, 787, 1299, 3213, 520, 540, 1488, 916, 269, 594, 14389, 333, 2074, 21610, 984, 956, 1107, 10692, 609, 1142, 824, 585, 1852, 540, 2244, 1701, 1765, 19809, 13973, 912, 2419, 2526, 787, 1299, 3213, 520, 540, 1488, 916, 454, 296, 14389, 333, 2074, 21610, 984, 956, 1107, 10692, 609, 1142, 824, 585, 1852, 540, 2244, 454, 272, 269, 932, 2526, 787, 1107, 3459, 1472, 8943, 540, 2623, 585, 29843, 14672, 984, 956, 799, 14129, 14017, 267, 22838, 543, 10100, 5381, 547, 17312, 18480, 454, 288, 269, 32201, 8695, 1131, 2253, 2866, 547, 1831, 513, 27585, 693, 513, 1360, 2038, 2085, 912, 21848, 476, 278, 815, 8525, 454, 21848, 476, 1691, 815, 8293, 790, 454, 21848, 476, 2641, 815, 26427, 454, 298, 333, 2074, 1107, 533, 7714, 6341, 29718, 1107, 533, 7714, 454, 1432, 1705, 513, 27585, 5957, 286, 20456, 13875, 1107, 7802, 1500, 540, 6263, 4496, 14034, 602, 6870, 1996, 32639, 269, 898, 26693, 827, 476, 736, 1107, 476, 1839, 7273, 269, 14022, 528, 1107, 4401, 610, 21102, 6676, 269, 898, 26693, 7273, 269, 4477, 5471, 1107, 1284, 19042, 476, 276, 268, 277, 7273, 269, 3213, 520, 540, 1488, 916, 1107, 513, 13104, 609, 513, 2189, 1374, 602, 5280, 2697, 1864, 538, 519, 6370, 454, 288, 2529, 564, 540, 3652, 585, 27585, 547, 1246, 799, 18796, 513, 27585, 4339, 585, 8946, 12767, 18544, 281, 476, 272, 269, 3171, 644, 531, 7083, 476, 273, 269, 4168, 7083, 815, 18661, 476, 274, 269, 3571, 932, 4923, 15248, 454, 274, 5861, 22620, 569, 11146, 1107, 11509, 2648, 2968, 2442, 269, 589, 27585, 779, 10279, 547, 1010, 14799, 2968, 607, 1271, 607, 1010, 10279, 547, 1010, 18459, 563, 275, 269, 12875, 23788, 1107, 5916, 8396, 2866, 609, 1187, 543, 7328, 998, 23769, 12959, 543, 4108, 3756, 454, 320, 269, 12928, 2074, 14526, 538, 795, 537, 7370, 1210, 561, 1734, 454, 2862, 269, 10011, 956, 281, 476, 272, 269, 634, 1753, 540, 519, 18459, 543, 14799, 267, 741, 1920, 267, 29843, 543, 824, 2367, 693, 7916, 543, 22063, 454, 273, 269, 589, 28183, 1374, 1196, 585, 1219, 839, 552, 454, 300, 582, 974, 543, 13391, 13704, 10011, 956, 454, 7656, 10611, 1961, 540, 6468, 1107, 2021, 779, 4567, 17379, 2429, 519, 5664, 12698, 454, 272, 15030, 1580, 941, 3908, 547, 519, 1753, 610, 519, 5572, 513, 269, 16393, 711, 4309, 2244, 536, 269, 4477, 323, 1447, 3959, 524, 269, 674, 3971, 338, 941, 5293, 689, 4651, 547, 5067, 267, 10691, 20766, 454, 273, 269, 32201, 342, 1580, 1107, 3576, 1852, 540, 9393, 779, 10040, 1247, 646, 729, 15534, 454, 288, 269, 5445, 4749, 5129, 513, 2629, 1909, 538, 21108, 1609, 919, 270, 4751, 956, 538, 741, 8152, 27512, 9000, 9117, 607, 4108, 19524, 543, 24116, 454, 10870, 520, 540, 1488, 916, 589, 3213, 520, 540, 1488, 916, 568, 1031, 547, 2099, 513, 1268, 610, 513, 1895, 540, 1004, 267, 971, 607, 513, 1920, 269, 3213, 1846, 540, 7916, 616, 2813, 1210, 513, 1297, 540, 2609, 602, 2995, 513, 1650, 543, 5924, 4766, 513, 1686, 563, 8624, 832, 543, 4256, 6399, 902, 670, 14283, 545, 27413, 281, 14117, 610, 7108, 910, 9198, 13920, 6519, 610, 18234, 910, 13458, 1299, 16429, 1356, 640, 4563, 910, 4790, 3599, 630, 261, 3006, 717, 4361, 264, 9791, 910, 700, 5819, 1399, 1299, 18266, 6888, 4414, 910, 13639, 10783, 3363, 1299, 4858, 854, 5682, 910, 16593, 267, 20717, 1299, 3006, 700, 5819, 1399, 31947, 910, 9576, 20727, 17965, 267, 590, 30371, 14879, 1299, 10456, 454, 2304, 7769, 630, 12737, 525, 264, 670, 14283, 545, 12292, 281, 19594, 910, 13363, 4369, 27392, 910, 7144, 686, 748, 1145, 6682, 601, 910, 3131, 14651, 13928, 910, 700, 5819, 1399, 17677, 26267, 1299, 26267, 910, 15557, 1299, 5463, 529, 4369, 22900, 910, 4347, 2658, 540, 7066, 5501, 24415, 935, 610, 8316, 330, 910, 661, 4526, 1145, 16737, 910, 7581, 591, 1145, 26186, 514, 630, 4820, 23914, 267, 851, 17794, 264, 910, 4858, 854, 21696, 910, 3367, 1465, 547, 31160, 23193, 910, 595, 5971, 19994, 4618, 910, 9198, 13920, 1299, 8061, 10056, 681, 13273, 910, 4790, 3599, 31315, 910, 19264, 819, 853, 698, 267, 4432, 330, 610, 1546, 518, 910, 13458, 1299, 24442, 26286, 910, 674, 1512, 322, 8864, 1299, 4406, 528, 1133, 545, 1941, 910, 26184, 10100, 16423, 910, 19693, 966, 580, 559, 766, 454, 15228, 2513, 338, 670, 14283, 545, 29062, 281, 16547, 324, 910, 667, 583, 3814, 15167, 910, 630, 338, 793, 5809, 513, 17294, 610, 4012, 626, 3433, 264, 595, 29266, 910, 21654, 9061, 525, 910, 4168, 27742, 22477, 910, 16958, 9605, 910, 2098, 7002, 4469, 5446, 9839, 910, 32425, 18307, 584, 11546, 268, 569, 338, 630, 560, 2643, 1242, 594, 5142, 8768, 264, 910, 8830, 640, 630, 817, 18620, 609, 5333, 264, 7435, 910, 18321, 267, 16429, 1356, 640, 1299, 10456, 9839, 910, 16429, 1356, 640, 9710, 985, 1299, 4165, 6840, 910, 10783, 3363, 8752, 940, 910, 5463, 529, 4369, 9855, 910, 590, 7967, 640, 744, 344, 3122, 26425, 910, 13488, 518, 23580, 910, 674, 23474, 590, 576, 335, 614, 910, 10456, 10060, 910, 12321, 1006, 6129, 910, 3794, 800, 4210, 867, 910, 2782, 3697, 18975, 610, 16836, 910, 10783, 3363, 1299, 13363, 4369, 454, 8448, 5071, 18169, 5871, 5071, 17972, 630, 615, 12245, 545, 16166, 2567, 645, 754, 910, 513, 15497, 4174, 701, 4258, 341, 1258, 910, 606, 26700, 16365, 834, 309, 257, 12751, 910, 3376, 4174, 701, 2066, 1283, 540, 13104, 667, 1410, 614, 910, 519, 1318, 11804, 2427, 540, 519, 13104, 630, 5228, 922, 3593, 781, 5133, 264, 661, 3944, 710, 910, 513, 3043, 9663, 4806, 630, 5976, 3109, 2766, 4388, 264, 674, 612, 910, 3376, 8880, 4174, 701, 998, 4099, 19232, 910, 3376, 7299, 4174, 701, 998, 4099, 10426, 656, 910, 606, 3662, 3254, 6972, 681, 2086, 656, 910, 606, 3662, 7555, 593, 12042, 7953, 16429, 3563, 910, 519, 2451, 11804, 2427, 540, 519, 13104, 630, 5228, 922, 3593, 781, 5133, 994, 7078, 3213, 1846, 540, 7916, 454, 7078, 3213, 520, 540, 1488, 916, 454, 17637, 513, 3213, 520, 540, 1488, 916, 5153, 476, 272, 269, 932, 846, 875, 547, 7941, 707, 13104, 454, 3721, 476, 273, 281, 17292, 513, 5279, 634, 5279, 568, 4092, 693, 519, 1283, 540, 519, 13104, 269, 589, 27585, 1522, 2824, 513, 1978, 3662, 585, 1010, 5279, 1317, 540, 922, 9228, 4162, 281, 4222, 267, 524, 7342, 267, 3432, 267, 2450, 267, 3092, 269, 1548, 3662, 1131, 596, 4584, 602, 568, 2189, 547, 596, 888, 13349, 10997, 23582, 9697, 13928, 23193, 7621, 21696, 8187, 23193, 31315, 26286, 26267, 19594, 589, 701, 3933, 4486, 19088, 1670, 26186, 514, 27925, 22900, 1133, 545, 1941, 2578, 4768, 23848, 645, 4459, 3774, 18718, 10326, 22477, 1488, 4900, 4033, 6698, 2914, 1002, 1223, 789, 1611, 286, 4911, 1564, 23044, 619, 306, 4721, 9839, 338, 1805, 1513, 300, 3019, 9605, 288, 343, 324, 11390, 903, 8752, 940, 26422, 13900, 332, 1115, 454, 3721, 476, 274, 281, 7994, 513, 2681, 4433, 264, 585, 707, 13104, 634, 4778, 596, 2824, 585, 707, 13104, 723, 513, 2495, 540, 741, 1378, 269, 1548, 616, 930, 4778, 602, 2161, 22838, 267, 27089, 267, 543, 4222, 286, 6904, 4778, 2697, 596, 286, 0, 5472, 1592, 902, 585, 713, 1587, 454, 10666, 713, 1587, 454, 268, 13517, 3725, 514, 1721, 806, 543, 11498, 519, 1893, 267, 2035, 543, 1983, 689, 519, 32167, 559, 781, 3883, 269, 769, 713, 2140, 267, 519, 2238, 22120, 543, 8831, 1893, 267, 3246, 3573, 1603, 2259, 543, 3606, 2238, 269, 898, 568, 2966, 585, 946, 1310, 1453, 723, 6192, 519, 4143, 32167, 559, 781, 3883, 3992, 269, 898, 666, 581, 1031, 538, 1362, 610, 585, 6780, 563, 268, 8191, 4433, 264, 297, 6756, 928, 3131, 21884, 267, 297, 650, 2274, 697, 517, 454, 268, 21629, 21547, 17524, 534, 4065, 454, 268, 11261, 540, 22910, 6187, 270, 4905, 270, 1001, 275, 454, 268, 13595, 5085, 307, 6092, 10049, 454, 268, 9255, 540, 22910, 23682, 5112, 454, 268, 13474, 540, 22910, 18197, 8003, 454, 268, 1955, 2745, 21547, 17524, 534, 4065, 454, 16032, 5498, 29818, 538, 7956, 9248, 454, 24591, 593, 7956, 9248, 454, 268, 22847, 1269, 4200, 269, 876, 307, 16781, 532, 693, 22847, 1269, 1911, 269, 4391, 454, 268, 22847, 1269, 6858, 269, 4200, 307, 16781, 532, 693, 22847, 1269, 3583, 269, 5952, 454, 268, 22847, 1269, 10463, 269, 4200, 307, 16781, 532, 693, 22847, 1269, 4037, 269, 11463, 454, 268, 22847, 1269, 4817, 269, 6434, 307, 16781, 532, 693, 22847, 1269, 1911, 269, 2568, 454, 268, 22847, 1269, 10441, 269, 6434, 307, 16781, 532, 693, 22847, 1269, 13040, 269, 3393, 454, 268, 22847, 1269, 10441, 269, 6434, 307, 16781, 532, 693, 22847, 1269, 11820, 269, 7906, 454, 268, 22847, 1269, 2641, 269, 3374, 307, 16781, 532, 693, 22847, 1269, 2420, 269, 1691, 454, 1607, 6221, 3085, 1405, 4866, 593, 713, 2985, 563, 12552, 267, 649, 3513, 1413, 883, 713, 269, 0, 763, 476, 1001, 273, 17227, 540, 11982, 3029, 786, 581, 544, 9229, 856, 4166, 563, 763, 17227, 540, 11982, 568, 519, 3056, 2707, 540, 5013, 543, 5515, 827, 1977, 6683, 269, 901, 14829, 568, 3144, 1169, 2947, 1296, 543, 621, 2488, 513, 2143, 4605, 540, 772, 2529, 269, 11396, 543, 10443, 2583, 543, 519, 1004, 945, 7500, 873, 269, 30880, 676, 1169, 16027, 543, 678, 4545, 615, 267, 7488, 540, 519, 2450, 610, 1826, 540, 5106, 267, 568, 1271, 543, 568, 2838, 676, 1876, 563, 763, 14829, 786, 2445, 1344, 7282, 782, 2127, 540, 8105, 543, 10443, 4221, 4238, 267, 1519, 2504, 9276, 267, 2344, 1871, 540, 2472, 543, 11346, 4162, 269, 4521, 16234, 267, 2229, 3906, 267, 4213, 267, 4884, 24990, 543, 1367, 3484, 4238, 946, 713, 3407, 1344, 547, 948, 3337, 3484, 3292, 267, 5818, 6917, 2533, 267, 543, 1332, 741, 3484, 20304, 563, 293, 1301, 619, 786, 581, 4280, 547, 2132, 519, 3029, 676, 4924, 269, 476, 275, 269, 0, 24456, 19032, 1299, 20668, 540, 10326, 454, 268, 589, 2030, 4171, 6565, 568, 2141, 3039, 1299, 13035, 454, 268, 27551, 711, 811, 982, 476, 272, 11281, 454, 268, 14465, 3570, 2030, 568, 519, 1158, 779, 4102, 10786, 454, 268, 589, 29762, 2030, 267, 4130, 982, 513, 3529, 267, 1299, 540, 3193, 4463, 476, 277, 7397, 454, 268, 13201, 1896, 1292, 11710, 16109, 693, 610, 2282, 519, 2666, 454, 268, 589, 29762, 21064, 2030, 267, 3335, 2348, 513, 2582, 6565, 610, 17657, 3395, 547, 513, 9645, 4463, 454, 268, 645, 8960, 14694, 8371, 693, 930, 3845, 689, 519, 2666, 454, 268, 1323, 11248, 799, 2729, 538, 610, 593, 1776, 11248, 630, 1080, 3984, 264, 543, 2640, 676, 3541, 1516, 5567, 693, 519, 824, 779, 13258, 563, 268, 1358, 23309, 741, 5072, 630, 295, 320, 755, 18319, 264, 883, 519, 3984, 2030, 547, 17589, 6886, 267, 7509, 1299, 29454, 454, 288, 2030, 602, 9428, 1875, 24733, 553, 527, 1227, 2390, 1776, 2030, 630, 7945, 607, 513, 3529, 1070, 543, 24283, 922, 7509, 543, 5567, 689, 519, 2011, 267, 4764, 267, 543, 3006, 689, 11935, 7213, 6819, 1472, 621, 3079, 540, 519, 2497, 621, 568, 3728, 2989, 547, 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 ]
[ 519, 7088, 779, 1164, 20823, 593, 519, 681, 10485, 4336, 563, 1103, 519, 29036, 3148, 267, 519, 4279, 29630, 1014, 23566, 16034, 607, 519, 27630, 10782, 7088, 547, 1764, 519, 1858, 856, 540, 519, 476, 10711, 9916, 269, 2334, 1249, 4667, 9670, 2016, 519, 10335, 540, 519, 7088, 269, 594, 1131, 723, 4397, 513, 1454, 2362, 20823, 269, 3683, 476, 1789, 6279, 540, 6777, 7133, 476, 272, 269, 274, 2929, 1004, 538, 519, 3148, 7361, 8329, 547, 519, 6237, 681, 10485, 1871, 540, 476, 1691, 269, 276, 269, 2060, 602, 1871, 267, 621, 16034, 1175, 3297, 519, 811, 2487, 5988, 476, 1220, 274, 267, 5988, 476, 1001, 271, 267, 543, 5130, 476, 1001, 277, 15420, 269, 634, 3735, 5988, 6777, 10445, 540, 476, 3422, 280, 3788, 519, 16999, 7088, 547, 5734, 519, 29036, 267, 609, 606, 681, 10485, 1871, 540, 476, 4097, 269, 271, 1818, 621, 513, 21145, 476, 276, 610, 968, 15761, 3153, 892, 2680, 269, 634, 4728, 476, 1960, 274, 968, 1805, 768, 540, 519, 11416, 892, 3788, 519, 2034, 16999, 6777, 10445, 547, 5734, 519, 29036, 267, 609, 606, 681, 10485, 1871, 540, 476, 2420, 269, 272, 849, 1818, 621, 513, 21145, 476, 276, 2680, 269, 1306, 594, 1413, 856, 1250, 6885, 693, 519, 1769, 6777, 9991, 267, 594, 1265, 8885, 4743, 18507, 602, 713, 7088, 568, 711, 4397, 547, 581, 4376, 899, 519, 4279, 29630, 1014, 23566, 540, 476, 4198, 271, 269, 0, 31339, 16992, 538, 634, 24601, 540, 670, 22976, 9440, 18373, 454, 6097, 547, 29527, 12920, 532, 3118, 267, 968, 5472, 7073, 1977, 3332, 2501, 689, 835, 1433, 676, 4460, 30805, 1572, 670, 22976, 9440, 18373, 1848, 670, 22976, 9440, 18373, 568, 827, 513, 7911, 602, 554, 919, 1373, 3540, 1242, 543, 1739, 3652, 269, 769, 519, 1433, 670, 3089, 7475, 909, 4881, 2476, 689, 1010, 13099, 543, 9060, 1776, 2196, 12537, 3957, 13343, 267, 945, 4523, 547, 581, 513, 10553, 269, 1261, 6238, 547, 4898, 1018, 568, 1318, 282, 4543, 513, 10553, 9101, 799, 568, 4636, 538, 2486, 779, 4064, 610, 798, 1018, 568, 25432, 1318, 543, 948, 1010, 3659, 269, 1306, 646, 22264, 2429, 519, 1650, 646, 6238, 547, 1174, 1434, 26069, 543, 11505, 269, 1261, 9060, 856, 1018, 513, 1434, 1268, 2731, 568, 282, 2436, 789, 616, 3109, 610, 3043, 269, 9282, 972, 616, 513, 1297, 540, 3197, 945, 9446, 9409, 543, 10168, 538, 519, 1433, 267, 972, 616, 1614, 282, 654, 573, 578, 19958, 267, 13343, 267, 543, 670, 3089, 602, 2731, 1118, 513, 2318, 1764, 593, 519, 5467, 269, 634, 654, 573, 578, 19958, 3884, 1406, 513, 5458, 851, 540, 519, 1650, 855, 1352, 9090, 814, 513, 5458, 1764, 593, 670, 3089, 543, 519, 3664, 646, 2306, 269, 769, 519, 4098, 540, 519, 1650, 519, 30612, 568, 670, 15085, 3119, 27369, 543, 2337, 1864, 1831, 3540, 1242, 269, 634, 654, 573, 578, 6645, 1864, 602, 646, 2115, 547, 7281, 1169, 3781, 543, 9684, 5601, 585, 3388, 1434, 602, 4523, 269, 968, 4263, 1101, 594, 554, 730, 519, 1153, 267, 855, 676, 543, 676, 594, 3893, 865, 594, 1223, 1796, 621, 892, 630, 1428, 1040, 634, 30612, 4991, 1864, 883, 1153, 543, 3217, 2731, 1434, 1416, 540, 1864, 269, 4014, 1352, 3884, 1405, 538, 519, 1433, 607, 1454, 267, 670, 3089, 2141, 14659, 540, 1200, 950, 646, 568, 3843, 547, 1118, 1434, 3664, 269, 634, 30612, 568, 835, 540, 519, 1906, 2318, 7506, 593, 670, 3089, 269, 4460, 30805, 6257, 1079, 5686, 540, 3237, 538, 713, 1650, 267, 835, 568, 13099, 945, 568, 29880, 543, 513, 26583, 602, 3085, 1405, 1416, 585, 670, 3089, 693, 782, 267, 543, 519, 824, 568, 519, 654, 573, 578, 19958, 945, 6499, 547, 1118, 670, 3089, 513, 1434, 1268, 543, 948, 1864, 563, 297, 574, 568, 1776, 1915, 538, 519, 1650, 3025, 6499, 547, 899, 269, 1261, 568, 513, 10121, 3659, 547, 670, 3089, 543, 782, 1472, 513, 1434, 1268, 269, 769, 519, 476, 5197, 271, 779, 3979, 4892, 14201, 1406, 1256, 2808, 547, 581, 1004, 267, 789, 941, 5701, 3520, 1026, 569, 543, 1100, 835, 6976, 3007, 547, 621, 269, 4495, 4460, 30805, 20964, 602, 513, 2483, 8923, 6443, 5530, 300, 1712, 547, 1224, 519, 2407, 3561 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 968, 12552, 267, 15525, 2223, 31550, 267, 4446, 871, 26036, 572, 514, 15525, 630, 2421, 707, 22457, 11515, 994, 7197, 25587, 1280, 281, 6178, 532, 519, 32285, 5516, 2920, 267, 19142, 519, 4347, 518, 1042, 11059, 585, 19974, 27336, 11040, 957, 267, 1373, 513, 7332, 630, 28785, 267, 676, 707, 22457, 11515, 994, 5226, 582, 762, 281, 968, 27087, 786, 711, 2097, 952, 649, 7227, 585, 930, 824, 1268, 610, 930, 824, 942, 269, 1284, 616, 519, 3283, 649, 4076, 1044, 7996, 585, 269, 1284, 616, 519, 1689, 602, 649, 3343, 3034, 4131, 721, 5873, 1018, 596, 723, 547, 2161, 827, 713, 1592, 540, 5449, 1977, 27504, 676, 21177, 707, 8292, 269, 0, 28846, 26863, 839, 729, 606, 7005, 4619, 20187, 5736, 2278, 945, 5206, 827, 519, 2182, 4074, 543, 2713, 3871, 1282, 519, 4853, 1034, 17770, 7240, 3209, 11783, 9741, 546, 528, 761, 568, 513, 3209, 2854, 676, 30479, 26863, 839, 3370, 1063, 476, 6977, 276, 543, 476, 6977, 278, 519, 1433, 729, 3370, 538, 17626, 1106, 543, 729, 5258, 883, 562, 31106, 2694, 2073, 269, 634, 1297, 540, 3888, 906, 26863, 839, 729, 547, 2328, 1185, 2907, 24441, 519, 3259, 540, 519, 3209, 607, 649, 1294, 538, 3184, 835, 267, 26863, 839, 3096, 540, 519, 4853, 563, 21156, 519, 1650, 568, 1305, 538, 519, 535, 1112, 25875, 4619, 20187, 4853, 524, 758, 564, 1144, 267, 513, 13598, 7187, 7005, 1984, 2389, 1144, 267, 568, 519, 20870, 3209, 676, 30479, 26863, 839, 11783, 7638, 642, 6403, 1372, 334, 30479, 26863, 839, 729, 513, 30508, 543, 3810, 2182, 2053, 3217, 1747, 538, 606, 4853, 4884, 693, 519, 8445, 540, 1776, 3209, 689, 26863, 839, 685, 18632, 1974, 269, 4208, 543, 875, 30479, 26863, 839, 5206, 1010, 5929, 1650, 513, 28581, 1286, 565, 267, 519, 9661, 540, 552, 321, 2940, 10045, 1085, 549, 334, 613, 563, 18693, 690, 571, 325, 17144, 2215, 14058, 513, 10722, 657, 30479, 26863, 839, 562, 659, 328, 6759, 1714, 476, 278, 632, 905, 3691, 549, 632, 476, 8687, 273, 267, 679, 2244, 1636, 267, 829, 1084, 324, 2615, 324, 513, 3288, 524, 328, 644, 611, 632, 16788, 17625, 267, 554, 6359, 334, 632, 14646, 26863, 839, 630, 9965, 277, 268, 6977, 272, 269, 28726, 267, 30479, 910, 524, 758, 564, 1144, 543, 10153, 1853, 6335, 606, 16494, 4853, 4884, 10153, 1853, 6335, 568, 26863, 839, 685, 14140, 3209, 269, 10434, 2053, 524, 26863, 839, 2626, 891, 2055, 827, 2182, 2053, 476, 272, 1141, 1281, 713, 3209, 1491, 1747, 476, 273, 713, 3209, 568, 1305, 538, 606, 16494, 4853, 4884, 3957, 5861, 758, 564, 1144, 689, 2048, 14551, 2053, 685, 676, 30479, 26863, 839, 1224, 519, 1739, 1349, 689, 2048, 14551, 2053, 685, 676, 30479, 26863, 839, 267, 543, 1287, 1865, 519, 1259, 646, 20186, 519, 2749, 269, 1306, 646, 27416, 547, 14646, 585, 3122, 630, 5228, 519, 1272, 540, 30479, 26863, 839, 2567, 26863, 839, 781, 1152, 3209, 27480, 2126, 540, 519, 4853, 2324, 1362, 538, 713, 960, 11783, 594, 8068, 602, 1085, 549, 613, 1705, 711, 2356, 1577, 1010, 5520, 1491, 9397, 610, 2395, 1055, 267, 646, 849, 5018, 960, 17346, 799, 4016, 547, 519, 4853, 4838, 563, 7212, 621, 568, 1419, 1572, 26863, 839, 781, 1412, 8114, 12009, 3209, 3299, 2182, 2053, 568, 513, 12905, 3209, 6236, 621, 729, 2854, 538, 519, 13524, 2540, 269, 8176, 26863, 839, 685, 2182, 2053, 281, 22713, 267, 2021, 267, 3351, 23540, 689, 519, 4098, 540, 519, 3209, 26863, 839, 12857, 721, 547, 519, 3351, 9107, 1259, 540, 3206, 269, 24157, 4919, 2200, 630, 1721, 8242, 543, 9450, 4528, 540, 713, 2985, 267, 630, 3192, 272, 264, 1496, 29589, 8100, 281, 4853, 3209, 267, 2458, 1231, 267, 26863, 839, 267, 24636, 1714, 3999, 267, 575, 2532, 749, 269, 6424, 829, 16746, 781, 30479, 26863, 839, 2985, 1018, 568, 707, 5172, 26863, 839, 3209, 1082, 540, 873, 1007, 547, 5708, 1813, 547, 513, 4473, 538, 7924, 1282, 519, 4853, 563, 763, 3209, 10153, 1853, 6335, 27788, 513, 3379, 547, 4890, 5961, 540, 15327, 1282, 519, 4853, 2079, 540, 875, 4605, 2982, 17779, 30479, 26863, 839, 568, 269, 28726, 781, 2182, 2053, 607, 513, 1514, 3209, 2182, 2053, 676, 30479, 26863, 839, 568, 1305, 538, 519, 4619, 20187, 2085, 15866, 22215, 593, 519, 1287, 4540, 1514, 2042, 269, 28726, 267, 1412, 1721, 2899, 22234, 676, 513, 3102, 5075, 262, 630, 548, 32713, 6032, 476, 25375, 1299, 476, 25248, 264, 519, 3791, 568, 3274, 519, 3209, 781, 4389, 3259, 543, 2241, 12572, 543, 2239, 563, 310, 761, 619, 971, 607, 30479, 26863, 839, 267, 1743, 8683, 773, 3731, 743, 858, 324, 15109, 875, 519, 2783, 540, 24469, 3209, 17814, 476, 866, 628, 609, 922, 1445, 593, 519, 4853, 5087, 540, 269, 634, 4853, 4838, 729, 606, 5736, 540, 2964, 1436, 1282, 713, 5736, 267, 538, 476, 6977, 275, 267, 30479, 26863, 839, 630, 8687, 273, 268, 6942, 271, 264, 5206, 2182, 2053, 547, 6085, 2390, 519, 1689, 1369, 269, 11633, 1436, 538, 2182, 2053, 676, 30479, 519, 3209, 2182, 2053, 676, 30479, 26863, 839, 3091, 513, 19214, 883, 519, 1272, 519, 4853, 4884, 538, 799, 519, 3209, 568, 269, 8176, 26863, 839, 538, 1010, 3209, 267, 968, 1492, 4853, 3209, 6039, 513, 25349, 1599, 585, 621, 13087, 1004, 547, 917, 827, 1919, 2484, 6569, 689, 741, 1378, 6185, 5877, 0, 15933, 543, 4853, 8762, 5735, 18829, 568, 835, 540, 519, 9510, 2409, 1634, 547, 6964, 538, 519, 2504, 540, 15446, 327, 4669, 267, 3679, 17232, 639, 5144, 11783, 15873, 540, 5144, 2472, 543, 2504, 3347, 267, 1519, 5144, 519, 3170, 1543, 540, 5144, 568, 519, 593, 4013, 2409, 540, 4152, 5144, 543, 8645, 585, 269, 26192, 5144, 568, 707, 1318, 22678, 8643, 5144, 16073, 2754, 568, 5309, 20602, 779, 4102, 7471, 676, 18997, 10683, 6705, 593, 21273, 2409, 540, 5144, 2504, 543, 269, 4095, 10683, 2872, 3366, 547, 8476, 2504, 267, 6454, 538, 2409, 540, 4393, 543, 922, 579, 6255, 5144, 993, 592, 1932, 556, 2000, 320, 684, 3481, 922, 563, 9610, 30663, 1240, 513, 4832, 22631, 1222, 1788, 1867, 593, 2079, 540, 1587, 1646, 543, 6075, 3049, 1394, 676, 1368, 21186, 520, 5144, 5658, 7566, 10480, 3130, 3908, 11643, 547, 269, 667, 8543, 8105, 543, 554, 1231, 320, 630, 322, 745, 601, 1399, 264, 910, 1058, 649, 607, 795, 1622, 8532, 5144, 2472, 1970, 1942, 540, 5779, 568, 1813, 547, 519, 8907, 689, 5144, 2504, 269, 19643, 2504, 910, 2029, 543, 1184, 7620, 267, 519, 5144, 568, 13671, 547, 8645, 4553, 676, 513, 13594, 584, 1436, 1184, 13604, 267, 519, 8645, 5205, 513, 269, 2549, 592, 281, 519, 2347, 1650, 621, 3459, 609, 1079, 8498, 24625, 2510, 543, 476, 7742, 20990, 540, 5144, 829, 1554, 267, 2073, 950, 519, 2504, 593, 606, 3328, 729, 476, 1839, 2053, 811, 982, 538, 563, 296, 1087, 340, 340, 568, 513, 3059, 13629, 3760, 519, 3043, 4838, 721, 22363, 606, 5736, 540, 7899, 689, 513, 1687, 569, 2179, 540, 5144, 2504, 543, 993, 592, 4154, 5144, 993, 592, 28580, 18054, 269, 1473, 1311, 8022, 2409, 267, 10741, 519, 1259, 585, 519, 2504, 540, 6905, 15808, 1272, 5144, 609, 1256, 1447, 1587, 476, 276, 968, 600, 592, 892, 3579, 7657, 1819, 5144, 476, 277, 993, 592, 15958, 328, 269, 20491, 6360, 814, 1500, 519, 2197, 1582, 6190, 538, 5144, 543, 5144, 2472, 998, 30222, 540, 938, 10683, 2872, 811, 1271, 267, 1373, 513, 1507, 1790, 1238, 1356, 269, 19328, 781, 1368, 21186, 520, 1071, 268, 10869, 5144, 6725, 10480, 3130, 630, 326, 322, 7825, 325, 1070, 2344, 619, 540, 519, 993, 592, 6216, 540, 10683, 2472, 267, 814, 20726, 539, 602, 621, 4566, 547, 1305, 909, 2504, 538, 519, 721, 269, 22447, 2504, 568, 12150, 267, 4470, 593, 10800, 7350, 538, 10683, 25673, 2127, 267, 1585, 2409, 723, 1044, 6069, 585, 8741, 532, 540, 1804, 9424, 540, 5144, 269, 29321, 548, 267, 993, 592, 267, 15854, 821, 267, 993, 592, 267, 9566, 548, 267, 3993, 10683, 267, 1854, 1299, 15854, 821, 281, 799, 5144, 16919, 519, 1655, 26998, 339, 341, 1426, 269, 968, 21466, 2079, 1299, 6455, 1646, 540, 993, 592, 1267, 540, 519, 1732, 6455, 543, 3892, 2409, 543, 993, 592, 10660, 1229, 2504, 540, 5144, 8869, 543, 4816, 269, 2549, 592, 568, 519, 4102, 1071, 268, 10869, 3350, 538, 15242, 609, 476, 2420, 2929, 5144, 12696, 22555, 538, 476, 1015, 267, 4649, 273, 1071, 268, 10869, 7239, 538, 476, 1220, 274, 268, 1220, 275, 519, 2197, 781, 4102, 1426, 563, 10870, 6016, 2510, 538, 8236, 1426, 3354, 543, 4264, 1646, 281, 21944, 4747, 689, 5144, 2504, 993, 592, 268, 5144, 585, 547, 6542, 3621, 2409, 269, 1677, 957, 609, 20559, 618, 267, 513, 2229, 4061, 2115, 547, 917, 5144, 2504, 3790, 538, 922, 2101, 5144, 26148, 4525, 11783, 476, 31239, 279, 736, 1704, 1114, 14252, 540, 993, 592, 5144, 1114, 2409, 713, 6920, 602, 10889, 531, 3996, 609, 2539, 7192, 322, 1131, 581, 4397, 547, 723, 2362, 5144, 2504, 269, 476, 23310, 30663, 6349, 28579, 781, 4633, 281, 476, 2764, 628, 5993, 2489, 1560, 5870, 476, 2764, 628, 5993, 2489, 1560, 5870, 593, 476, 3066, 628, 795, 2317, 9042, 540, 993, 592, 5144, 538, 563, 763, 6725, 4640, 540, 993, 592, 6227, 1585, 5647, 543, 10357, 7888, 4238, 547, 3035, 10508, 618, 540, 5561, 543, 5144, 12696, 892, 5075, 540, 993, 592, 269, 2549, 592, 4191, 544, 537, 609, 568, 549, 547, 946, 6552, 15392, 585, 1732, 6683, 2409, 993, 592, 22876, 999, 1472, 476, 5611, 32763, 30184, 540, 5144, 3232, 5144, 2504, 543, 269, 3171, 553, 2225, 540, 593, 1922, 1301, 5144, 4393, 267, 11183, 267, 543, 6725, 585, 23250, 540, 593, 1922, 1301, 5144, 4393, 267, 11183, 267, 543, 6725, 585, 5144, 2504, 269, 476, 31648, 22903, 1704, 875, 993, 592, 10381, 2039, 568, 1500, 693, 519, 16798, 2081, 547, 2333, 5144, 2504, 538, 16933, 676, 8939, 519, 1318, 3049, 1299, 8023, 2409, 11783, 12606, 454, 1001, 279, 269, 12910, 14430, 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 ]
[ 267, 689, 5507, 15167, 547, 519, 3854, 540, 519, 17040, 1158, 267, 2673, 547, 519, 705, 1712, 540, 922, 1390, 812, 267, 945, 568, 2443, 991, 649, 1039, 256, 1765, 263, 30875, 16910, 1782, 264, 519, 1849, 17064, 540, 519, 661, 1186, 558, 6092, 563, 2171, 616, 4843, 547, 519, 4013, 269, 1261, 24963, 29377, 721, 547, 519, 667, 12495, 267, 547, 1397, 875, 519, 9640, 616, 17303, 588, 12574, 282, 547, 20006, 721, 883, 930, 540, 519, 13655, 540, 519, 834, 2361, 282, 834, 547, 7866, 547, 721, 267, 538, 1249, 267, 519, 4357, 1272, 540, 519, 5198, 268, 1817, 572, 563, 11039, 267, 547, 581, 2386, 267, 972, 2760, 729, 971, 513, 14216, 2421, 4303, 267, 607, 713, 1459, 14216, 2421, 4303, 2336, 22142, 267, 547, 581, 2386, 267, 941, 972, 865, 1082, 1286, 17699, 267, 865, 1082, 2185, 338, 267, 865, 1082, 1000, 657, 267, 865, 1082, 3283, 267, 865, 1082, 7504, 5443, 267, 865, 1082, 1004, 945, 454, 17647, 2097, 1524, 676, 834, 7841, 2437, 865, 1082, 5386, 21031, 538, 865, 1082, 536, 893, 4461, 267, 865, 1082, 540, 10783, 11133, 543, 28224, 781, 554, 2086, 619, 267, 865, 1454, 4672, 543, 13084, 27158, 2336, 2252, 594, 941, 593, 519, 32005, 267, 543, 1185, 513, 7504, 547, 4283, 585, 519, 14216, 2421, 267, 594, 1131, 1289, 602, 7504, 10783, 11133, 543, 28224, 267, 18617, 602, 609, 602, 2012, 646, 1131, 10726, 519, 2361, 269, 5398, 6644, 1131, 3142, 1864, 538, 11214, 563, 16100, 1141, 594, 786, 24568, 930, 598, 10811, 542, 609, 519, 1286, 17699, 1765, 1500, 3728, 2390, 519, 1283, 267, 610, 30939, 519, 4216, 267, 610, 13615, 909, 3297, 267, 610, 3880, 1782, 2630, 267, 610, 890, 9429, 856, 540, 6885, 1765, 296, 1294, 10783, 11133, 543, 28224, 269, 1656, 1631, 267, 1261, 822, 839, 256, 782, 519, 554, 2086, 619, 8038, 2647, 1930, 267, 543, 519, 3039, 667, 12495, 16802, 883, 513, 19806, 558, 540, 10981, 3122, 1606, 531, 611, 2336, 263, 10955, 1243, 21555, 689, 519, 12353, 20394, 267, 5600, 3835, 9293, 267, 476, 278, 4873, 476, 6977, 272, 264, 0, 763, 6855, 568, 1869, 5275, 3007, 782, 936, 519, 2197, 269, 634, 6669, 3812, 568, 3759, 20160, 267, 855, 972, 568, 1100, 2312, 2856, 540, 875, 621, 20362, 519, 1007, 8833, 540, 519, 3644, 269, 16480, 267, 513, 1007, 14583, 540, 519, 3644, 814, 7153, 538, 6115, 267, 667, 5861, 1421, 1310, 3257, 10194, 11646, 2079, 689, 513, 7210, 20169, 269, 634, 3173, 4857, 602, 519, 10194, 4452, 568, 476, 7906, 267, 275, 1240, 2053, 2362, 982, 824, 1762, 3283, 563, 32546, 616, 2943, 547, 1265, 519, 2205, 18834, 610, 6771, 2557, 540, 519, 1007, 14583, 269, 570, 650, 1631, 267, 3592, 5216, 2665, 723, 1044, 4857, 538, 519, 4571, 268, 4263, 23007, 772, 2529, 269, 4746, 267, 519, 10194, 21782, 3940, 568, 11207, 1114, 538, 519, 1259, 267, 799, 1522, 1118, 873, 811, 11763, 269, 898, 949, 581, 519, 27521, 585, 9306, 811, 10194, 5536, 538, 519, 6408, 779, 9224, 563, 11039, 267, 649, 917, 602, 519, 1453, 616, 711, 1454, 2693, 547, 7985, 689, 5046, 268, 866, 269, 8616, 267, 649, 723, 1185, 12963, 2665, 8375, 585, 519, 2063, 2947, 3275, 269, 14755, 267, 930, 2090, 8612, 602, 519, 3644, 1223, 2014, 1279, 3856, 3441, 538, 1453, 269, 5753, 540, 4778, 899, 3109, 267, 3571, 3966, 923, 616, 7092, 811, 689, 519, 3644, 543, 723, 4080, 476, 25240, 7972, 865, 2484, 563, 2710, 596, 1616, 547, 15476, 593, 11197, 5240, 267, 5616, 5240, 267, 543, 811, 286, 15012, 938, 1603, 2146, 267, 2087, 707, 1603, 1983, 267, 543, 581, 1224, 676, 7366, 540, 5215, 1472, 519, 1158, 256, 0, 11947, 2157, 540, 4307, 2643, 23750, 710, 666, 3441, 519, 1560, 267, 1519, 519, 2634, 269, 1403, 15860, 267, 713, 3441, 5012, 547, 519, 4191, 543, 2589, 540, 519, 2783, 269, 1717, 267, 609, 2038, 5868, 543, 2126, 267, 1453, 609, 623, 298, 308, 666, 723, 2282, 5991, 5436, 1072, 543, 1646, 269, 1715, 9799, 30587, 543, 7427, 27138, 19382, 15860, 267, 713, 2783, 666, 2014, 2042, 609, 2634, 1646, 267, 3056, 547, 11636, 2790, 29472, 566, 543, 17465, 269, 1717, 267, 623, 298, 308, 568, 835, 540, 519, 1906, 4719, 3676, 602, 666, 581, 6417, 676, 2732, 269, 589, 2732, 1970, 538, 4307, 2643, 23750, 710, 543, 1164, 538, 1119, 4592, 710, 666, 581, 513, 1360, 2500, 2126, 269, 1703, 568, 1100, 10826, 901, 568, 513, 1973, 1449, 547, 5496, 29507, 585, 4307, 2643, 8208, 517, 22202, 630, 303, 298, 308, 1070, 513, 2783, 602, 666, 2014, 2634, 3441, 543, 4049, 7214, 9659, 952, 621, 4422, 15860, 269, 634, 2042, 1419, 2408, 538, 519, 1101, 1032, 540, 1272, 267, 4929, 12256, 547, 2408, 25983, 958, 3207, 344, 543, 1592, 1652, 26263, 2643, 8208, 517, 22202, 568, 3361, 676, 513, 3668, 540, 519, 11747, 2877, 547, 6460, 4307, 2643, 23750, 710, 547, 1119, 4592, 710, 269, 12580, 1331, 7214, 9659, 267, 17465, 267, 15353, 267, 13481, 267, 606, 26253, 6438, 16420, 267, 543, 513, 544, 748, 344, 610, 1590, 344, 1560, 17627, 269, 634, 5868, 568, 1759, 593, 513, 1973, 1449, 269, 5753, 945, 616, 8995, 543, 5701, 2038, 1058, 1020, 7363, 769, 15860, 623, 298, 308, 2550, 267, 25983, 958, 1164, 4307, 2643, 23750, 710, 2157, 538, 519, 1973, 543, 2634, 666, 3132, 8229, 2281, 609, 632, 11526, 4949, 976, 543, 27765, 27866, 267, 543, 2014, 20541, 687, 538, 519, 24869, 514, 1352, 987, 5219, 547, 607, 3834, 3912, 601, 1588, 543, 1629, 2643, 523, 566, 269, 901, 2530, 540, 24869, 514, 666, 2110, 5547, 8229, 25372, 630, 332, 612, 1137, 264, 543, 14443, 1591, 2792, 454, 303, 1156, 2643, 8208, 517, 22202, 630, 303, 298, 308, 264, 568, 513, 4719, 10894, 4524, 602, 4679, 519, 1560, 781, 2157, 540, 4307, 2643, 23750, 710, 269, 26263, 2643, 23750, 710, 568, 835, 540, 519, 2679, 7161, 630, 3133, 334, 7408, 264, 540, 5946, 13034, 636, 753, 3112, 1118, 4307, 9234, 29516, 267, 855, 621, 568, 513, 2067, 851, 540, 519, 3536, 649, 3548, 269, 1717, 267, 1004, 798, 711, 991, 782, 519, 4307, 9234, 29516, 789, 3548, 267, 865, 519, 1560, 17838, 3063, 4307, 2643, 23750, 710, 547, 1776, 20027, 11254, 3679, 267, 1119, 4592, 710, 9453, 2126, 267, 891, 1453, 1020, 8628, 7214, 9659, 269, 1530, 714, 999, 267, 16607, 1646, 267, 8965, 2042, 267, 543, 17867, 4713, 616, 849, 1455, 269, 772, 660, 8972, 2043, 949, 723, 513, 1590, 344, 610, 10856, 6438, 17627, 607, 513, 2427, 1198, 540, 4430, 4307, 2643, 23750, 710, 538, 519, 1560, 6904, 2014, 540, 7214, 9659, 568, 2404, 609, 606, 32246, 20882, 689, 13662, 22180, 476, 5379, 268, 23417, 693, 2160, 540, 6489, 810, 454, 1607, 1449, 11974, 29507, 585, 623, 298, 308, 267, 513, 2783, 602, 666, 2014, 2634, 3441, 543, 4049, 7214, 9659, 952, 15860, 269, 26263, 2643, 8208, 517, 22202, 630, 303, 298, 308, 264, 3733, 2419, 691, 3461, 2823, 320, 26263, 2643, 8208, 517, 22202, 630, 303, 298, 308, 264, 568, 513, 4686, 4719, 2783, 602, 3123, 606, 11254, 3679, 1572, 4307, 2643, 23750, 710, 547, 1628, 909, 538, 519, 1560, 269, 589, 2381, 334, 7408, 616, 519, 2679, 7161, 540, 3940, 269, 26263, 2643, 23750, 710, 568, 1336, 538, 269, 901, 568, 513, 1973, 1449, 547, 5496, 29507, 585, 4307, 2643, 8208, 517, 22202, 630, 303, 298, 308, 1070, 513, 2783, 602, 666, 2014, 2634, 3441, 543, 4049, 7214, 9659, 952, 621, 4422, 15860, 269, 634, 2042, 1419, 2408, 538, 519, 1101, 1032, 540, 1272, 267, 4929, 12256, 547, 2408, 25983, 958, 3207, 344, 543, 1592, 1652, 269, 1358, 949, 723, 8373, 8023, 543, 1020, 513, 2699, 267, 28349, 16420, 2147, 547, 269, 623, 298, 308, 3123, 513, 4791, 6794, 540, 7214, 9659, 609, 5042, 543, 8965, 17244, 282, 952, 15860, 267, 519, 7214, 9659, 568, 4049, 269, 769, 519, 2475, 543, 1082, 2919, 2477, 267, 782, 19440, 919, 616, 29971, 585, 4307, 2643, 8208, 517, 22202, 476, 2190, 547, 476, 4366, 3108, 1310, 4332, 609, 835, 540, 1896, 1973, 4255, 282, 9402, 2164, 616, 9672, 676, 2047, 563, 303, 1156, 2643, 8208, 517, 22202, 568, 513, 12424, 1947, 15110, 10894, 4524, 799, 267, 8259, 621, 568, 5701, 2038, 2614, 609, 513, 4307, 2643, 23750, 710, 3146, 560, 24071, 2732, 267, 5012, 547, 4049, 7214, 9124, 269, 476, 272, 634, 2949, 9860, 540, 4307, 2643, 8208, 517, 22202, 538, 519, 5177, 568, 827, 476, 272, 829, 476, 1015, 476, 1822, 476, 273, 543, 3370, 4808, 2303, 602, 2126, 2115, 547, 581, 2038, 543, 15400, 269, 26263, 2643, 8208, 517, 22202, 568, 513, 4524, 540, 11254, 3679, 10307, 602, 3123, 513, 4791, 6794, 540, 7214, 9659, 609, 5042, 543, 8965, 17244, 3361, 676, 11506, 16796, 4307, 2643, 23750, 710, 269, 634, 3119, 2014, 568, 28119, 4307, 2643, 23750, 710, 18038, 2643, 848, 2534, 269, 23369, 568, 676, 16326, 1164, 4307, 2643, 23750, 710, 2157, 543, 3339, 610, 1970, 1119, 4592, 710, 2157, 9664, 476, 15946, 6902, 13158, 902, 476, 10844, 260, 630, 1321, 264, 476, 1556, 856, 540, 476, 1321, 1004, 1336, 713, 3561, 5363, 282, 901, 12744, 2982, 2985, 476, 6795, 910, 476, 8287, 856, 540, 476, 15946, 3817, 269, 2181, 1613, 2982, 2985, 476, 6795, 910, 476, 8287, 856, 540, 476, 15946, 3817, 772, 660, 8972, 623, 298, 308, 568, 2404, 609, 606, 9402, 26737, 1519, 2208, 5821, 267, 2890, 576, 874, 3315, 267, 17465, 543, 7214, 15717, 3361, 676, 519, 13250, 540, 6757, 676, 1790, 20094, 540, 623, 515, 10307, 269, 634, 11841, 540, 623, 298, 308, 610, 670, 5183, 568, 5207, 10838, 24272, 553, 2103, 267, 9648, 538, 5111, 476, 272, 538, 476, 1015, 267, 1822, 24570, 454, 303, 1156, 2643, 8208, 517, 22202, 568, 513, 4524, 540, 11254, 3679, 10307, 602, 4386, 538, 12256, 4535, 1510, 519, 2702, 547, 7363, 2736, 1524, 606, 11254, 3679, 1572, 4307, 2643, 23750, 710, 269, 26263, 2643, 23750, 710, 267, 799, 568, 6757, 547, 519, 2634, 267, 13976, 909, 538, 519, 1973, 269, 26263, 2643, 8208, 517, 22202, 4386, 950, 3237, 1780, 519, 26843, 5444, 602, 3123, 713, 4524, 593, 547, 741, 1453, 5753, 609, 15860, 623, 298, 308, 2408, 3339, 693, 4332, 269, 1809, 676, 2085, 476, 274, 547, 476, 277, 3275, 267, 789, 2253, 547, 6336, 1719, 538, 741, 10450, 269, 1635, 2085, 476, 272, 1032, 267, 1453, 616, 1646, 958, 16607, 543, 741, 2960, 814, 1447, 6477, 7695, 982, 2576, 1510, 519, 2783, 269, 1403, 1004, 609, 623, 298, 308, 798, 711, 6615, 519, 4307, 2643, 23750, 710, 538, 741, 2732, 267, 789, 1020, 4049, 7214, 543, 11095, 9124, 454, 303, 1156, 2643, 8208, 517, 22202, 630, 303, 298, 308, 264, 568, 15110, 267, 799, 1797, 621, 568, 5293, 1524, 998, 3885, 269, 5637, 3237, 1590, 1780, 593, 513, 1875, 11529, 5299, 540, 519, 5444, 538, 1931, 585, 513, 4816, 547, 723, 519, 2783, 269, 1879, 713, 568, 519, 2013, 267, 741, 1453, 723, 513, 476, 272, 538, 476, 275, 4960, 540, 1373, 4299, 269, 9040, 625, 609, 623, 298, 308, 616, 7508, 606, 11747, 1572, 4307, 2643, 23750, 710, 18038, 2643, 848, 901, 1449, 11974, 29507, 585, 623, 298, 308, 267, 513, 2783, 602, 666, 2014, 2634, 3441, 543, 4049, 7214, 9659, 952, 15860, 269, 589, 10638, 538, 13698, 295, 610, 922, 1071, 26476, 645, 295, 476, 275, 267, 2164, 538, 519, 13250, 540, 4430, 4307, 2643, 23750, 710, 267, 4171, 6757, 2360, 666, 2014, 4049, 543, 26464, 7214, 9659, 952, 15860, 1547, 4033, 4791, 2934, 2404, 609, 15860, 623, 298, 308, 949, 1331, 26144, 19326, 267, 5179, 22907, 267, 3235, 345, 14670, 748, 16420, 543, 17465, 26263, 2643, 8208, 517, 22202, 630, 303, 298, 308, 264, 568, 513, 1521, 762, 1313, 23865, 12424, 633, 2783, 799, 267, 1510, 2126, 267, 3123, 11636, 2790, 29472, 566, 269, 898, 568, 1813, 547, 519, 15110, 10638, 540, 519, 11747, 563, 308, 660, 8972, 267, 623, 298, 308, 568, 2404, 609, 7214, 9659, 267, 2623, 2042, 267, 17465, 267, 543, 824, 14715, 14524, 269, 769, 1840, 267, 9176, 2021, 609, 623, 298, 308, 616, 693, 1981, 540, 2348, 513, 1126, 609, 2789, 22787, 22114, 267, 607, 513, 1267, 540, 519, 2942, 2360, 540, 4430, 623, 515, 593, 25782, 1646, 1403, 15860, 267, 595, 11070, 666, 2014, 666, 2014, 7214, 9659, 267, 606, 23762, 2295, 267, 4617, 6091, 610, 2669, 269, 5517, 25420, 281, 595 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 811, 2693, 547, 2049, 1310, 6391, 593, 476, 274, 610, 811, 6439, 639, 6091, 269, 7597, 769, 1840, 267, 6391, 593, 7299, 6439, 639, 6091, 6799, 513, 2362, 1981, 540, 3384, 18751, 10126, 29769, 807, 269, 3583, 454, 8368, 476, 275, 269, 966, 6018, 1981, 2188, 585, 18751, 10126, 29769, 807, 454, 10111, 582, 573, 16050, 25518, 454, 302, 20953, 6193, 16050, 25518, 454, 306, 1157, 548, 1591, 2068, 454, 22137, 3168, 693, 32640, 16682, 576, 514, 2587, 25086, 538, 2550, 609, 1769, 23469, 3352, 1938, 723, 4857, 8519, 32640, 13526, 4288, 1310, 2269, 321, 1143, 639, 6391, 269, 7597, 6684, 267, 519, 25739, 6175, 540, 13526, 4288, 814, 1044, 4857, 676, 15096, 294, 2587, 25086, 540, 519, 32640, 538, 2550, 609, 6960, 3352, 1938, 269, 3583, 2859, 5063, 267, 744, 6311, 5025, 814, 1044, 1031, 547, 6218, 32640, 6077, 13526, 4288, 840, 268, 543, 2022, 6016, 8271, 267, 609, 2147, 4681, 269, 10170, 623, 997, 725, 666, 2569, 519, 1198, 593, 32640, 6077, 11423, 2022, 6016, 8271, 950, 3379, 547, 1191, 2388, 267, 543, 949, 1450, 6391, 593, 513, 3791, 6439, 639, 4887, 609, 1447, 1981, 540, 3384, 18751, 10126, 29769, 807, 269, 17968, 267, 7762, 6081, 636, 25560, 589, 593, 513, 3791, 6439, 639, 4887, 568, 1776, 4781, 547, 1039, 547, 519, 4058, 540, 2269, 321, 1143, 639, 2665, 543, 6175, 519, 4960, 540, 1802, 1424, 18751, 10126, 29769, 807, 269, 6271, 4244, 568, 547, 946, 513, 524, 18416, 6077, 1606, 1706, 532, 4480, 267, 10170, 267, 7761, 610, 547, 946, 585, 333, 1460, 2861, 1651, 2888, 547, 8190, 829, 559, 574, 4472, 8398, 743, 1968, 8043, 269, 10463, 454, 306, 1956, 11491, 592, 5557, 1459, 607, 513, 4396, 22980, 339, 3012, 748, 2527, 27295, 538, 519, 1858, 540, 3105, 2269, 321, 1143, 639, 6391, 267, 11105, 547, 519, 521, 1956, 8066, 519, 4887, 269, 1358, 616, 711, 11213, 267, 543, 789, 949, 610, 949, 711, 581, 5430, 5471, 1227, 771, 14808, 1005, 269, 6348, 268, 25388, 321, 762, 521, 583, 999, 616, 3335, 1031, 538, 5359, 540, 11491, 592, 5557, 9648, 1310, 2269, 321, 1143, 639, 6391, 269, 10619, 267, 4037, 3502, 782, 4431, 1134, 547, 32104, 6527, 543, 949, 991, 547, 581, 1191, 551, 539, 563, 2467, 949, 581, 513, 23644, 31659, 6521, 1310, 2269, 321, 1143, 639, 6391, 593, 476, 273, 8880, 6439, 639, 6091, 267, 2901, 24845, 610, 796, 10561, 269, 769, 1840, 547, 1250, 18701, 267, 4230, 26584, 2242, 723, 1044, 4767, 269, 1452, 2242, 4043, 547, 8207, 1310, 1896, 4374, 547, 519, 840, 10869, 1201, 3555, 269, 32719, 550, 2242, 547, 1201, 3555, 949, 849, 2049, 543, 666, 581, 9619, 609, 513, 1689, 547, 14296, 543, 5924, 3346, 14485, 2899, 519, 3461, 814, 646, 4705, 269, 898, 568, 1271, 547, 723, 513, 4901, 609, 519, 3461, 610, 2385, 840, 6016, 8271, 267, 3226, 952, 519, 3461, 1281, 711, 2154, 31659, 15494, 267, 827, 519, 1761, 1689, 538, 5075, 2022, 6016, 8271, 563, 3519, 31019, 2526, 10014, 28144, 454, 288, 31792, 2526, 10014, 28144, 14340, 689, 538, 30541, 550, 521, 583, 1005, 540, 519, 31792, 2526, 13423, 26375, 883, 519, 1651, 1707, 3135, 269, 634, 30219, 4043, 547, 1020, 1896, 2395, 547, 4374, 1310, 6391, 543, 2408, 607, 513, 2312, 2166, 10973, 2497, 269, 769, 11325, 823, 14047, 675, 609, 18552, 666, 8207, 891, 267, 4352, 621, 568, 1455, 547, 991, 547, 10956, 519, 5650, 2789, 2053, 2394, 519, 28144, 6821, 13021, 1927, 269, 14904, 538, 7247, 519, 14047, 675, 1281, 711, 8207, 267, 607, 1134, 607, 1453, 945, 616, 711, 2111, 547, 9108, 20496, 519, 13549, 14047, 675, 538, 5604, 267, 786, 4324, 689, 10551, 2300, 1707, 269, 7261, 560, 2300, 1707, 538, 519, 5665, 4055, 568, 1655, 12913, 676, 7630, 532, 2119, 3966, 4544, 883, 519, 28144, 609, 513, 476, 1789, 610, 2362, 15378, 13549, 547, 12962, 519, 28144, 3774, 269, 4635, 713, 4480, 267, 519, 3003, 3774, 540, 519, 28144, 666, 581, 6569, 609, 4639, 22574, 23805, 543, 1547, 1321, 610, 2147, 3196, 1186, 547, 9004, 24088, 267, 513, 2009, 12343, 952, 519, 18874, 1281, 711, 4894, 782, 519, 31792, 2526, 13423, 26375, 1818, 909, 519, 28144, 3774, 269, 10602, 454, 3519, 31019, 2526, 610, 521, 1956, 11491, 592, 5448, 454, 288, 11491, 592, 5448, 568, 513, 10981, 983, 31479, 8280, 30231, 5448, 602, 10953, 693, 519, 3135, 540, 519, 31792, 2526, 19479, 610, 1141, 519, 4887, 568, 521, 1956, 323, 547, 519, 8608, 269, 21081, 592, 5557, 616, 13747, 689, 31792, 2526, 30219, 676, 741, 2699, 3917, 3641, 267, 15123, 1506, 5920, 267, 543, 4028, 2208, 269, 634, 11491, 592, 5448, 949, 4431, 547, 22521, 32104, 12772, 609, 513, 5786, 538, 2208, 543, 2450, 267, 855, 621, 568, 4686, 585, 519, 32104, 547, 4628, 8207, 519, 27295, 269, 2368, 949, 8207, 936, 513, 12675, 1974, 540, 942, 630, 28236, 3275, 547, 1296, 1040, 1280, 1346, 1141, 519, 2208, 1281, 711, 8207, 267, 10551, 2300, 1707, 666, 581, 2808, 269, 634, 11491, 592, 5448, 568, 1419, 535, 4310, 609, 519, 936, 2391, 31792, 10216, 267, 3226, 952, 519, 27295, 568, 1082, 3275, 2025, 610, 4587, 269, 1323, 3801, 547, 26819, 519, 31792, 10216, 1055, 519, 27295, 1991, 547, 8851, 1058, 581, 1500, 547, 8190, 31792, 10216, 543, 2061, 1623, 1076, 874, 16336, 5250, 630, 5408, 2630, 1040, 1403, 713, 568, 711, 2009, 267, 621, 949, 581, 2556, 547, 2300, 1047, 519, 31792, 10216, 543, 2308, 835, 540, 519, 19479, 2409, 5941, 538, 519, 1985, 3296, 593, 31792, 2526, 1085, 18732, 267, 2630, 269, 6507, 454, 1805, 4599, 1143, 639, 666, 1267, 689, 3105, 522, 4788, 23361, 689, 799, 972, 729, 1085, 18732, 540, 519, 31792, 10216, 543, 3702, 550, 20159, 540, 2138, 1006, 269, 15439, 9427, 519, 10077, 5160, 568, 711, 2141, 2500, 267, 1317, 519, 10077, 5160, 11148, 547, 9888, 269, 3487, 21871, 538, 4079, 267, 4171, 31792, 10216, 568, 1100, 3476, 13412, 267, 621, 568, 1271, 547, 2628, 3007, 547, 519, 31792, 2526, 19479, 547, 1118, 2386, 602, 519, 521, 1956, 323, 31792, 10216, 568, 711, 1802, 1424, 513, 19231, 547, 22401, 269, 1403, 7142, 5918, 794, 2164, 538, 7934, 532, 610, 8082, 593, 519, 521, 1956, 4609, 267, 519, 10138, 568, 1932, 9395, 269, 18169, 693, 713, 1448, 1331, 6028, 519, 31792, 10216, 1930, 547, 12115, 676, 6281, 8247, 267, 993, 333, 8438, 9245, 21910, 267, 543, 31792, 2526, 1313, 690, 2761, 269, 23046, 676, 6281, 8247, 568, 11807, 8259, 519, 4887, 24450, 543, 521, 1956, 786, 581, 6534, 269, 901, 4679, 519, 1981, 540, 3968, 267, 31792, 2526, 28144, 5250, 267, 543, 11491, 592, 5448, 1472, 519, 521, 1956, 563, 2304, 4244, 568, 547, 946, 606, 993, 333, 8438, 9245, 547, 3382, 519, 7934, 538, 31792, 10216, 543, 519, 2627, 540, 519, 4887, 547, 957, 607, 513, 21934, 13783, 585, 519, 31792, 10216, 547, 12115, 936, 269, 898, 814, 1044, 1031, 547, 18949, 513, 10077, 1042, 31792, 2526, 585, 333, 1460, 607, 1134, 607, 547, 1521, 1623, 1076, 874, 16336, 269, 1452, 17011, 616, 4122, 2139, 693, 1034, 10506, 267, 855, 621, 568, 1655, 547, 23754, 741, 8244, 538, 24736, 540, 519, 991, 630, 1122, 267, 1950, 2937, 2665, 267, 3119, 1623, 1076, 874, 16336, 7816, 267, 2789, 556, 6016, 725, 267, 3092, 28593, 19675, 993, 333, 8438, 9245, 711, 581, 2139, 267, 1776, 4244, 568, 547, 946, 513, 31792, 2526, 1313, 690, 2761, 689, 519, 9120, 31792, 10216, 540, 519, 1482, 610, 8284, 3750, 269, 634, 9120, 31792, 10216, 540, 1034, 2550, 814, 1713, 561, 1314, 640, 543, 21336, 3599, 602, 513, 10126, 540, 5160, 1804, 2614, 547, 8115, 519, 7934, 538, 519, 31792, 10216, 666, 581, 5402, 2300, 2213, 267, 6028, 519, 14210, 517, 23555, 16856, 267, 543, 5116, 936, 519, 7934, 269, 1677, 3413, 1460, 519, 21910, 547, 519, 11105, 31792, 10216, 267, 476, 280, 268, 271, 18755, 787, 331, 521, 1956, 610, 570, 23579, 531, 5160, 15441, 666, 581, 1031, 269, 769, 930, 2665, 267, 519, 31792, 10216, 786, 2847, 6018, 1125, 267, 538, 1866, 621, 568, 8806, 9117, 607, 513, 21934, 13783, 585, 31792, 2526, 7067, 563, 2005, 568, 1271, 547, 1865, 891, 2409, 609, 1022, 3461, 693, 1981, 540, 17596, 891, 5773, 6619, 540, 942, 267, 610, 5612, 1310, 6391, 952, 621, 729, 711, 17191, 267, 607, 782, 476, 274, 2409, 2154, 513, 12675, 7067, 1184, 2022, 6016, 8271, 267, 543, 519, 3750, 786, 711, 2132, 547, 3339, 5920, 585, 1896, 3275, 1739, 6391, 563, 293, 520, 15984, 6794, 454, 300, 6702, 718, 20088, 1101, 4330, 3170, 15984, 6794, 607, 9648, 1310, 17071, 21933, 1664, 6391, 1282, 799, 519, 17911, 14210, 517, 23555, 568, 26991, 269, 3199, 901, 568, 1813, 547, 519, 20133, 5669, 16133, 540, 519, 17071, 21933, 1664, 543, 519, 14210, 517, 23555, 269, 901, 2783, 814, 849, 1044, 4330, 1739, 27243, 5773, 269, 10037, 634, 7139, 2355, 532, 20771, 3170, 26711, 547, 4887, 610, 521, 743, 5028, 543, 11731, 267, 3056, 547, 513, 25516, 2269, 321, 1143, 639, 269, 898, 666, 581, 1360, 2182, 547, 9004, 269, 2290, 3070, 814, 1044, 547, 1747, 993, 333, 8438, 9245, 21910, 338, 547, 5094, 519, 3170, 5160, 689, 519, 4887, 267, 543, 621, 568, 849, 5116, 593, 11953, 521, 743, 5028, 547, 1683, 513, 11064, 547, 6534, 521, 743, 5028, 269, 901, 28658, 568, 1447, 2693, 547, 2049, 538, 6391, 538, 799, 519, 17071, 21933, 1664, 568, 9678, 896, 1463, 14839, 267, 543, 1141, 1416, 568, 3144, 547, 711, 31432, 622, 519, 20771, 31027, 636, 1282, 519, 5650, 563, 5719, 2718, 609, 3170, 15984, 6794, 1282, 7766, 2269, 321, 1143, 639, 6391, 3340, 9639, 543, 22111, 3007, 547, 1469, 269, 634, 4017, 19745, 520, 1399, 10077, 2115, 547, 581, 26819, 539, 1055, 519, 4887, 17987, 5402, 267, 607, 972, 568, 3592, 2141, 4017, 19745, 520, 1399, 22467, 1674, 540, 519, 4887, 17987, 3294, 676, 519, 1184, 269, 3973, 267, 20771, 3170, 543, 519, 4017, 19745, 520, 1399, 10077, 991, 547, 581, 2300, 2213, 267, 543, 15891, 518, 1242, 269, 2107, 321, 1388, 3170, 568, 3810, 15466, 543, 5012, 547, 2022, 10869, 11702, 630, 1815, 577, 2096, 2670, 264, 543, 6553, 269, 2549, 333, 8438, 9245, 543, 5924, 2199, 29416, 8803, 1355, 630, 1122, 267, 2468, 600, 11142, 565, 821, 264, 666, 581, 1031, 547, 948, 2061, 24088, 269, 634, 18874, 1058, 3801, 547, 3970, 1022, 2009, 3346, 609, 16856, 5835, 3170, 676, 519, 4887, 610, 519, 8608, 1991, 547, 14656, 519, 31792, 10216, 269, 2107, 321, 1388, 3170, 568, 606, 1898, 5057, 540, 522, 4788, 4027, 538, 938, 10739, 267, 543, 849, 666, 1860, 519, 23815, 5920, 540, 519, 2960, 2022, 6016, 8271, 267, 865, 1152, 607, 1454, 3170, 607, 2556, 1058, 581, 6569, 610, 15891, 518, 1242, 269, 23206, 547, 2022, 10869, 1928, 2359, 568, 2565, 267, 607, 891, 2665, 616, 1419, 3833, 11213, 630, 5408, 4901, 1657, 1040, 11025, 267, 10695, 454, 292, 344, 601, 573, 2990, 1689, 454, 31572, 519, 5493, 701, 13887, 535, 1170, 675, 4463, 568, 1271, 547, 2226, 5430, 6996, 529, 1247, 7900, 2269, 321, 1143, 639, 6391, 269, 13880, 673, 21748, 540, 519, 17071, 6439, 639, 585, 25516, 1250, 14527, 971, 607, 666, 2049, 538, 11178, 1250, 14527, 267, 20771, 27470, 267, 543, 1310, 606, 17071, 20771, 3774, 17795, 267, 666, 1267, 538, 22442, 573, 1427, 3555, 269, 7102, 6391, 593, 519, 9120, 610, 17071, 6439, 639, 568, 693, 1981, 585, 606, 22442, 573, 2990, 1689, 267, 4352, 713, 28658, 568, 811, 1455, 609, 6391, 593, 519, 17071, 6439, 639, 269, 898, 568, 1271, 547, 5094, 519, 22442, 573, 1427, 847, 832, 689, 519, 22442, 573, 1282, 519, 10551, 5650, 547, 2057, 713, 28658, 269, 10019, 454, 14454, 267, 2269, 321, 1143, 639, 6391, 538, 4079, 666, 1683, 519, 2640, 540, 4824, 1599, 609, 606, 9450, 2361, 540, 2582, 10822, 22811, 5075, 269, 634, 8476, 10822, 22811, 1599, 666, 5351, 538, 3666, 267, 3106, 540, 10688, 267, 543, 7115, 538, 3232, 1272, 676, 19620, 519, 5191, 547, 5397, 269, 22375, 540, 2269, 321, 1143, 639, 666, 2087, 519, 3461, 779, 2631, 540, 1134, 5630, 543, 6175, 1514, 2566, 676, 7393, 1582, 12635, 269, 25947, 12972, 666, 1450, 2550, 547, 2132, 547, 2744, 995, 7694, 538, 513, 10930, 543, 811, 11327, 6073, 563, 1607, 1590, 581, 7059, 676, 519, 1297, 540, 556, 6016, 725, 602, 616, 2938, 538, 4079, 267, 1818, 1346, 811, 7294, 23361, 593, 519, 2898, 267, 609, 606, 2799 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 625, 1070, 1141, 519, 1505, 568, 1031, 547, 6360, 610, 1852, 519, 1377, 540, 1216, 538, 1142, 3982, 2361, 269, 769, 930, 2665, 267, 519, 1216, 568, 29253, 267, 610, 24850, 676, 1480, 610, 3662, 1379, 547, 519, 1377, 540, 519, 2244, 563, 291, 8692, 12555, 267, 849, 1634, 607, 8945, 548, 12555, 267, 3252, 607, 922, 2012, 5267, 269, 4826, 568, 9447, 693, 610, 2282, 519, 3597, 7997, 540, 2371, 267, 6749, 676, 6749, 269, 901, 1505, 666, 581, 519, 1034, 1216, 18026, 1505, 540, 12555, 267, 952, 7307, 5265, 267, 2094, 21381, 543, 20359, 616, 31965, 269, 769, 2413, 6683, 267, 30620, 12555, 568, 1419, 5916, 609, 5068, 22890, 267, 2417, 4227, 21381, 267, 543, 568, 849, 519, 1797, 540, 6765, 540, 13226, 269, 634, 1184, 568, 1634, 607, 4969, 12720, 269, 12213, 829, 3712, 566, 267, 1141, 1216, 7575, 2630, 519, 3597, 7997, 267, 666, 2049, 952, 513, 30620, 1062, 568, 13234, 585, 1932, 1279, 540, 513, 8653, 610, 952, 519, 6765, 2557, 568, 1932, 1164, 269, 667, 8692, 12555, 2409, 2039, 689, 1360, 1164, 24289, 543, 2780, 1242, 547, 1970, 24289, 543, 4074, 25673, 269, 13722, 1216, 12503, 616, 2356, 2877, 982, 585, 1034, 824, 2010, 540, 1949, 267, 609, 519, 9868, 540, 1970, 1648, 4099, 22141, 1949, 543, 2627, 12555, 1949, 267, 543, 519, 1062, 666, 581, 2966, 585, 7833, 640, 2429, 513, 2361, 610, 585, 5730, 1216, 6765, 547, 1367, 2371, 538, 513, 5251, 5627, 513, 3575, 540, 2030, 2249, 269, 4014, 621, 568, 2352, 547, 10038, 2604, 593, 14869, 19527, 267, 2604, 9104, 908, 12520, 1562, 616, 2139, 267, 865, 519, 2361, 1281, 711, 723, 547, 581, 1377, 269, 4400, 24289, 3435, 4125, 10502, 26215, 730, 12520, 1562, 4092, 2059, 3515, 540, 8685, 532, 602, 8831, 689, 513, 2780, 1242, 1305, 540, 17901, 269, 5637, 2604, 7939, 543, 19288, 547, 4894, 5536, 616, 1271, 269, 634, 13740, 616, 2356, 3109, 630, 528, 12617, 896, 3037, 610, 22890, 264, 547, 2061, 519, 2208, 540, 13479, 543, 547, 2149, 519, 4874, 26120, 689, 12159, 1813, 547, 22292, 1769, 269, 1809, 30620, 12555, 666, 849, 581, 607, 1970, 24289, 607, 513, 24338, 10036, 6077, 3141, 330, 883, 519, 3037, 543, 12212, 4904, 689, 513, 25652, 610, 19943, 563, 8138, 338, 16577, 30620, 12555, 454, 8138, 338, 16577, 30620, 12555, 814, 1044, 1031, 6707, 593, 1876, 985, 267, 855, 621, 568, 811, 7199, 982, 513, 811, 2757, 20057, 2401, 1062, 269, 17183, 30620, 1949, 616, 711, 1942, 15807, 585, 1876, 985, 543, 17075, 6030, 269, 769, 519, 2250, 835, 540, 519, 1292, 11393, 540, 519, 7449, 16577, 30620, 12555, 630, 306, 14888, 264, 1949, 267, 950, 1031, 585, 32005, 267, 729, 519, 1249, 540, 2348, 547, 3888, 519, 5068, 3515, 1360, 2673, 547, 1142, 824, 538, 519, 2666, 267, 4061, 27200, 519, 32005, 24124, 1858, 269, 10765, 2029, 7835, 593, 30620, 3888, 619, 899, 519, 30620, 3888, 518, 693, 1715, 6792, 3557, 2160, 1488, 992, 10361, 4741, 267, 4025, 519, 1899, 11895, 543, 6227, 519, 1793, 527, 6028, 1100, 3037, 6534, 563, 26794, 540, 30620, 12555, 454, 268, 3687, 574, 1242, 13226, 14672, 22021, 2530, 1813, 547, 22297, 3498, 543, 4389, 30450, 563, 268, 4400, 1216, 3498, 4398, 563, 268, 5426, 532, 540, 519, 2361, 711, 2556, 563, 268, 31727, 547, 11125, 622, 12150, 8032, 4610, 563, 268, 14190, 338, 2922, 946, 540, 13381, 1216, 563, 268, 7720, 626, 675, 1369, 519, 3597, 7997, 666, 581, 9738, 693, 2361, 4390, 563, 268, 14606, 1826, 4249, 1447, 1271, 1909, 538, 4908, 540, 12555, 563, 268, 3687, 574, 1242, 3037, 11761, 563, 268, 4400, 569, 7833, 3892, 540, 1216, 1775, 4318, 1421, 6417, 676, 3977, 540, 1142, 30979, 563, 268, 13722, 11668, 1942, 563, 268, 7352, 566, 538, 3761, 666, 581, 14931, 676, 15725, 519, 17901, 543, 5671, 13827, 563, 268, 674, 1068, 12720, 666, 3362, 581, 3769, 609, 8766, 3653, 540, 18168, 563, 268, 674, 10008, 720, 3788, 3819, 3976, 4227, 519, 1981, 540, 2068, 563, 268, 15394, 13234, 693, 2539, 2604, 982, 824, 2010, 540, 2046, 584, 2213, 12555, 267, 4227, 1648, 3790, 563, 11514, 23955, 540, 30620, 12555, 454, 268, 5890, 1619, 269, 19461, 1942, 666, 581, 811, 982, 16841, 1949, 563, 268, 17904, 269, 634, 3141, 666, 1860, 519, 13740, 1031, 585, 30620, 12555, 267, 2110, 2287, 741, 26729, 1272, 269, 31701, 14423, 568, 4756, 563, 268, 1849, 690, 3101, 269, 1403, 519, 1216, 568, 711, 5265, 22012, 543, 519, 3937, 711, 5265, 9738, 267, 621, 666, 1267, 538, 24571, 3101, 563, 268, 667, 8692, 12555, 1522, 581, 5667, 15384, 16371, 952, 10786, 15969, 610, 1283, 21039, 18168, 991, 20057, 2401, 12555, 585, 11852, 563, 268, 667, 8692, 11746, 3123, 3063, 30749, 3790, 1310, 7556, 269, 1411, 3513, 991, 547, 1544, 585, 30620, 11746, 23090, 267, 12871, 267, 9657, 610, 19074, 563, 268, 17904, 540, 1216, 267, 942, 1299, 7556, 267, 952, 711, 8704, 5265, 269, 1452, 1949, 3340, 6297, 1353, 540, 782, 519, 4143, 2188, 899, 2244, 27177, 267, 3037, 267, 1216, 267, 7693, 543, 29436, 12641, 574, 1738, 2175, 267, 543, 29839, 540, 30620, 12555, 1062, 543, 922, 3334, 563, 268, 2885, 1588, 10819, 269, 769, 14402, 11934, 7449, 16577, 30620, 949, 581, 8572, 547, 6632, 519, 3037, 2627, 585, 23286, 269, 10671, 2231, 6297, 7156, 540, 519, 10380, 3178, 563, 268, 6428, 6541, 269, 4107, 30620, 1949, 616, 2966, 585, 1164, 4398, 267, 2495, 2370, 610, 1100, 30450, 6824, 269, 9453, 6190, 30450, 267, 20919, 4294, 609, 519, 12555, 1216, 949, 1628, 909, 538, 519, 3597, 7997, 267, 2356, 693, 519, 6316, 540, 519, 6632, 1154, 4806, 563, 1103, 20057, 2401, 610, 16841, 12555, 267, 1216, 568, 10398, 539, 547, 835, 610, 811, 3844, 6753, 1369, 519, 2361, 543, 7856, 676, 16841, 1164, 25774, 20057, 6840, 610, 15963, 269, 589, 1062, 9001, 20057, 6840, 267, 838, 7590, 267, 610, 15963, 15841, 16841, 593, 18385, 8704, 1567, 619, 568, 1419, 5219, 547, 607, 513, 4396, 1606, 564, 12555, 1062, 269, 14451, 2604, 20057, 6840, 602, 17967, 616, 1572, 4232, 832, 543, 616, 9141, 676, 513, 3440, 5397, 267, 10591, 5397, 267, 610, 1764, 7271, 269, 14109, 1074, 6840, 949, 849, 581, 15841, 593, 3001, 5867, 4448, 547, 519, 1216, 2707, 676, 513, 25652, 269, 14825, 5597, 3001, 8868, 539, 1949, 1634, 607, 10707, 20057, 6840, 949, 11125, 622, 2127, 971, 607, 1507, 11396, 267, 5026, 4610, 267, 11614, 267, 2250, 999, 267, 543, 524, 655, 2678, 625, 796, 3430, 2105, 563, 8138, 597, 3419, 566, 849, 3006, 1572, 694, 788, 720, 12555, 814, 1044, 1031, 585, 1082, 1296, 538, 2361, 7031, 538, 2127, 609, 1164, 1216, 7515, 269, 898, 568, 513, 1505, 540, 31567, 9870, 519, 1216, 3349, 547, 1450, 519, 3037, 547, 581, 5848, 2989, 689, 2630, 519, 2371, 262, 3597, 7997, 269, 10705, 1346, 1949, 616, 4092, 593, 8628, 26377, 538, 1970, 4133, 610, 5757, 23898, 543, 5916, 609, 12775, 5989, 269, 589, 1062, 540, 23028, 10473, 267, 23668, 267, 649, 15077, 543, 19235, 2636, 621, 547, 2333, 610, 6175, 519, 1216, 1377, 538, 513, 3060, 540, 546, 9662, 543, 7551, 1852, 519, 1216, 3349, 269, 4427, 268, 597, 3419, 566, 568, 849, 1031, 538, 5010, 8511, 2504, 267, 2356, 585, 1494, 1540, 2371, 269, 4826, 568, 9447, 689, 2630, 267, 12842, 20733, 267, 543, 519, 4430, 6394, 585, 9657, 269, 15380, 267, 513, 3070, 540, 1216, 543, 5567, 17160, 513, 8708, 610, 8928, 998, 513, 512, 893, 585, 513, 2110, 1974, 540, 942, 267, 476, 1015, 1700, 736, 3764, 267, 543, 568, 1287, 29253, 1394, 883, 513, 8066, 7382, 585, 19074, 269, 4427, 268, 597, 3419, 566, 538, 3039, 17346, 3340, 9425, 10427, 267, 7199, 3937, 543, 2359, 269, 22436, 616, 1216, 543, 8770, 5726, 267, 543, 4074, 22766, 998, 22485, 1062, 5826, 543, 12957, 269, 898, 568, 2147, 538, 6240, 543, 2962, 547, 7449, 16577, 30620, 12555, 563, 4322, 1949, 723, 1970, 4170, 585, 5989, 543, 2930, 3937, 855, 991, 1164, 4074, 11378, 563, 763, 2165, 834, 332, 2222, 268, 597, 3419, 566, 257, 6257, 513, 1920, 540, 12555, 1949, 602, 4019, 1216, 998, 1507, 3457, 269, 1452, 3457, 5838, 1216, 5196, 519, 3037, 2627, 1360, 2282, 519, 2030, 610, 2630, 519, 3037, 2627, 2047, 883, 519, 2030, 3597, 7997, 269, 22320, 619, 267, 12696, 543, 3338, 322, 3639, 723, 9862, 2890, 268, 597, 3419, 566, 1949, 547, 9290, 741, 2115, 585, 8856, 1216, 3498, 269, 5843, 268, 597, 3419, 566, 1949, 616, 30140, 2442, 711, 1152, 538, 25545, 4525, 543, 4683, 5468, 855, 849, 538, 1016, 21065, 573, 543, 18519, 10851, 1141, 1216, 7727, 616, 3908, 610, 1216, 568, 7199, 269, 769, 11125, 730, 6683, 267, 2890, 268, 597, 3419, 566, 568, 1031, 14916, 585, 4737, 7031, 267, 15273, 3481, 7031, 267, 15250, 1841, 267, 10651, 267, 3039, 17346, 543, 5740, 7685, 269, 769, 4683, 8916, 267, 2890, 268, 597, 3419, 566, 568, 4922, 1031, 609, 25798, 2030, 902, 563, 763, 4890, 3498, 540, 1216, 538, 513, 2890, 268, 12555, 1062, 568, 998, 606, 900, 7867, 269, 634, 900, 7867, 568, 513, 1558, 1359, 3926, 1500, 689, 5068, 602, 20205, 513, 1507, 855, 5730, 11166, 269, 634, 7274, 540, 1216, 9447, 689, 891, 12520, 1562, 568, 2356, 6829, 538, 17529, 829, 5662, 630, 326, 874, 1040, 1452, 12520, 1562, 26632, 622, 1216, 2604, 998, 519, 946, 540, 1279, 1790, 23411, 267, 1507, 610, 881, 525, 610, 26202, 916, 269, 2368, 12520, 1562, 616, 2604, 9104, 908, 2495, 789, 11166, 1216, 693, 513, 3586, 2557, 936, 513, 2039, 540, 12503, 563, 2690, 7693, 12555, 267, 6099, 1216, 4398, 1797, 10893, 9271, 1813, 547, 21381, 267, 20359, 610, 7449, 16577, 12775, 269, 1323, 5345, 777, 2610, 3443, 666, 581, 1031, 547, 3313, 875, 1454, 1216, 568, 2838, 547, 11125, 622, 519, 2244, 269, 24627, 12555, 267, 519, 9510, 543, 1034, 1455, 1826, 267, 568, 1419, 1360, 19514, 538, 3892, 267, 607, 2694, 540, 513, 2361, 949, 4309, 4430, 1216, 538, 1931, 547, 5838, 6190, 9424, 547, 824, 2694, 269, 3683, 3650, 12555, 267, 1210, 4099, 1790, 643, 582, 610, 14694, 2173, 8221, 20057, 6840, 267, 3947, 513, 1454, 811, 3160, 543, 6417, 3892, 4806, 269, 667, 8692, 12555, 568, 519, 1034, 7199, 543, 2547, 268, 4310, 1826, 267, 855, 3091, 519, 1655, 2164, 538, 12419, 1216, 547, 2030, 5072, 609, 8766, 9271, 269, 1306, 4657, 12555, 1949, 666, 581, 513, 14427, 23072, 267, 5726, 3646, 1419, 13404, 593, 21924, 519, 4398, 540, 519, 4540, 1062, 269, 901, 949, 1331, 669, 529, 9934, 11741, 539, 11934, 267, 2870, 9663, 992, 1019, 7719, 547, 2061, 20359, 267, 543, 1210, 3037, 7509, 543, 11811, 8596, 547, 11126, 12555, 16131, 563, 305, 3663, 1618, 29365, 267, 799, 7001, 24467, 543, 20359, 543, 946, 621, 547, 22507, 2666, 1216, 7727, 269, 901, 2337, 538, 519, 5250, 540, 2666, 1216, 19401, 3092, 269, 543, 5555, 6971, 3037, 11761, 3361, 1813, 547, 4881, 1216, 563, 268, 7102, 6225, 17429, 794, 538, 1216, 2530, 267, 946, 267, 610, 27830, 454, 268, 589, 5786, 538, 1216, 946, 12913, 676, 6388, 540, 1216, 5726, 610, 1216, 4398, 3800, 563, 268, 20865, 1216, 2359, 2853, 602, 2569, 610, 3986, 519, 6225, 946, 540, 1216, 6993, 1216, 5726, 2268, 568, 606, 2962, 2676, 2041, 24173, 1689, 267, 3926, 267, 2029, 267, 610, 4824, 1374, 610, 1184, 8045, 547, 2569, 1216, 2530, 267, 3653, 267, 610, 946, 269, 4826, 4398, 568, 513, 1907, 540, 1216, 5726, 269, 2334, 2164, 538, 811, 3608, 1216, 946, 543, 3976, 6971, 1216, 3747, 269, 634, 1871, 543, 1942, 13716, 4369, 540, 513, 1216, 4398, 2268, 1590, 581, 11117, 538, 6935, 547, 922, 2360, 593, 519, 946, 543, 1942, 540, 824, 2067, 2200, 630, 324, 3052, 269, 1648, 610, 6464, 1916, 305, 664, 1216, 16276, 454, 305, 664, 4248, 16276, 568, 519, 11018, 267, 610, 7213, 6819, 543, 13936, 267, 540, 24467, 269, 14175, 4248, 16276, 814, 1044, 1031, 547, 1683, 6704, 1216, 267, 1216, 585, 13184, 267, 1216, 585, 12555, 610, 547, 1201, 650, 6864, 28875, 538, 513, 1184, 1572, 15780, 22507, 269, 14175, 4248, 6394, 689, 519, 22908, 540, 8075, 267, 512, 757, 543, 2199, 5238, 267, 610, 689, 16887, 5423, 2127, 540, 2666, 267, 666, 1118, 606, 1271, 9295, 547, 6704, 1216, 269, 769, 930, 2665, 267, 24467, 949, 581, 519, 1152, 2139, 267, 610, 22237, 267, 1216, 2707, 269, 14175, 4248, 1949, 616, 2241, 547, 4020, 689, 20522, 2199, 2326, 267, 543 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 3156, 6100, 9050, 811, 19014, 941, 827, 547, 1246, 267, 835, 593, 552, 659, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 1805, 655, 7146, 30071, 2378, 1773, 1824, 257, 607, 851, 540, 834, 21316, 30388, 1315, 18753, 10613, 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, 7689, 20505, 912, 3528, 519, 1439, 540, 713, 3992, 267, 1053, 786, 581, 2111, 547, 1384, 265, 16294, 5539, 543, 12477, 454, 265, 13760, 519, 2956, 540, 2921, 5539, 543, 1373, 18177, 585, 741, 3527, 454, 265, 21302, 1806, 540, 5539, 543, 12477, 538, 11174, 5708, 454, 265, 3763, 741, 1378, 7440, 5009, 5539, 543, 12477, 1210, 10388, 1603, 2553, 692, 14945, 7072, 692, 5970, 596, 2479, 5433, 899, 1945, 7012, 1405, 4023, 286, 9320, 596, 941, 30199, 585, 1945, 596, 4769, 1405, 798, 267, 610, 6148, 596, 3893, 538, 8373, 1256, 1498, 621, 729, 20248, 2576, 3116, 781, 13337, 269, 898, 666, 581, 24858, 950, 1919, 1810, 1405, 979, 938, 1259, 267, 2523, 950, 649, 1745, 899, 649, 4312, 1044, 4636, 539, 269, 1809, 1018, 4523, 950, 649, 2811, 519, 3283, 945, 723, 2944, 1945, 4636, 286, 769, 891, 3871, 267, 621, 781, 1271, 547, 1174, 519, 1523, 540, 5539, 543, 12477, 269, 1452, 2418, 616, 1898, 585, 2679, 2178, 3347, 267, 8236, 1967, 267, 543, 7700, 9797, 547, 2486, 269, 769, 713, 3992, 267, 649, 786, 2263, 519, 2495, 540, 5539, 543, 12477, 267, 5659, 1806, 540, 891, 2418, 538, 11174, 5708, 267, 543, 2259, 3384, 10388, 7440, 5009, 2123, 5539, 543, 12477, 780, 9377, 1456, 26930, 543, 10055, 1464, 692, 6524, 649, 4685, 883, 519, 1158, 540, 11174, 5708, 267, 1577, 781, 1101, 5581, 1018, 649, 1611, 676, 5539, 543, 12477, 269, 4340, 547, 8585, 26713, 268, 31812, 267, 5539, 568, 3989, 607, 834, 1492, 2298, 610, 1533, 540, 1373, 3743, 2437, 1247, 12477, 568, 3989, 607, 834, 1492, 2298, 610, 1533, 540, 1373, 18177, 282, 606, 17185, 610, 18515, 547, 3398, 5539, 610, 547, 2272, 585, 835, 781, 3527, 1701, 2311, 1101, 16145, 267, 891, 1079, 2474, 949, 3100, 24190, 267, 855, 789, 2965, 2099, 1114, 3344, 540, 2123, 2623, 269, 26930, 4016, 547, 938, 2702, 547, 4431, 547, 7569, 5116, 2390, 721, 267, 2436, 1346, 7569, 2097, 689, 6000, 267, 1866, 267, 610, 519, 3510, 693, 1688, 269, 10055, 1464, 267, 593, 519, 824, 1688, 267, 3322, 14344, 543, 16561, 519, 4539, 540, 938, 3527, 269, 8625, 267, 891, 2418, 1106, 519, 5748, 540, 1434, 1915, 543, 5683, 3375, 6194, 780, 14300, 540, 26930, 543, 10055, 1464, 538, 19565, 11470, 692, 3086, 602, 649, 723, 513, 1732, 1620, 540, 1018, 5539, 543, 12477, 27167, 267, 1577, 781, 4983, 930, 1806, 540, 891, 2418, 538, 2962, 1369, 519, 7706, 540, 11174, 5708, 269, 2290, 5929, 1383, 2501, 689, 661, 11065, 269, 6519, 781, 23770, 781, 5680, 269, 769, 713, 11537, 1453, 781, 1433, 267, 1762, 22513, 19966, 1076, 3217, 5539, 585, 9494, 519, 1272, 540, 513, 678, 2863, 6477, 3957, 12070, 10767, 269, 6736, 1200, 4651, 781, 3355, 1843, 687, 267, 22513, 12410, 806, 1864, 547, 1450, 1200, 547, 1416, 585, 519, 6477, 2280, 267, 7551, 11744, 1200, 7029, 547, 4180, 1010, 8171, 269, 13536, 538, 519, 1650, 267, 12070, 10767, 9060, 5128, 6849, 519, 7872, 540, 26718, 269, 1717, 267, 7064, 547, 519, 3646, 540, 1010, 3659, 23770, 519, 17178, 267, 646, 568, 6038, 10710, 269, 10801, 519, 3209, 267, 1312, 22513, 543, 23770, 8858, 7415, 2157, 540, 5539, 2509, 12070, 10767, 267, 20515, 519, 1379, 540, 8296, 543, 11428, 538, 519, 3068, 540, 14488, 780, 5194, 8903, 1383, 540, 5539, 543, 12477, 666, 581, 1336, 538, 1744, 16336, 595, 872, 577, 781, 12532, 5565, 7720, 976, 269, 769, 713, 1715, 25053, 29274, 20421, 3209, 267, 24369, 4458, 6040, 6428, 600, 4545, 320, 10326, 670, 1497, 2377, 10225, 593, 513, 3444, 28029, 787, 3460, 547, 22653, 924, 609, 1200, 3993, 269, 13966, 519, 1259, 267, 1352, 22281, 338, 8941, 540, 1200, 26137, 1920, 2818, 267, 1519, 1200, 15534, 2465, 4651, 269, 1306, 6428, 600, 4545, 320, 8843, 2984, 540, 1200, 4651, 781, 2250, 1098, 326, 11306, 267, 971, 607, 10714, 532, 1010, 11645, 607, 513, 2385, 543, 6028, 1010, 7385, 543, 8250, 3297, 1510, 9963, 267, 1352, 12066, 956, 609, 4606, 540, 10845, 543, 20729, 531, 269, 16828, 267, 2705, 267, 1352, 2501, 547, 8275, 602, 3020, 19807, 3340, 10343, 540, 5539, 543, 12477, 269, 1635, 8066, 1200, 4651, 18177, 585, 1010, 3527, 267, 6428, 600, 4545, 320, 5956, 519, 1184, 540, 7067, 543, 21047, 780, 25324, 340, 8172, 11524, 547, 22737, 26930, 543, 10055, 1464, 692, 2026, 7152, 676, 519, 3197, 538, 23770, 781, 5680, 543, 12532, 5565, 7720, 976, 267, 5539, 543, 12477, 616, 2629, 3334, 540, 1434, 1915, 269, 8616, 5103, 741, 2956, 267, 1082, 1004, 1869, 6560, 547, 9784, 891, 2418, 538, 741, 3232, 2729, 269, 901, 568, 1141, 10388, 1603, 2501, 883, 1404, 269, 1635, 13167, 1134, 3146, 1783, 539, 7440, 14957, 585, 2123, 5539, 543, 12477, 267, 5830, 666, 8300, 1866, 547, 9772, 811, 5683, 5615, 269, 1924, 875, 1281, 835, 979, 827, 2870, 513, 10388, 1557, 5009, 891, 2418, 286, 3371, 616, 930, 1883, 3268, 547, 2015, 1384, 272, 269, 7994, 513, 1808, 2460, 540, 5539, 610, 12477, 547, 1445, 593, 269, 5502, 540, 3843, 547, 10994, 3388, 693, 2899, 267, 4642, 538, 593, 835, 1880, 1858, 1141, 6454, 568, 2877, 269, 1280, 3236, 267, 596, 1522, 6430, 547, 2328, 827, 519, 2956, 540, 14047, 7081, 610, 519, 1871, 540, 19969, 563, 273, 269, 3194, 4143, 1239, 543, 7194, 547, 1489, 707, 6811, 269, 2755, 3929, 22587, 666, 581, 3532, 267, 5013, 543, 5515, 1419, 4163, 3152, 2597, 609, 3988, 269, 6733, 585, 2090, 610, 12220, 602, 5031, 519, 2640, 540, 8026, 5539, 543, 12477, 267, 610, 598, 14287, 267, 519, 2942, 4539, 540, 695, 597, 6362, 891, 9021, 563, 274, 269, 3629, 6405, 1806, 20515, 707, 2798, 269, 7464, 8996, 7653, 666, 948, 1118, 7493, 2035, 811, 11541, 543, 12300, 269, 6333, 4687, 23278, 4925, 689, 707, 1378, 1272, 610, 5373, 6667, 689, 2442, 2528, 630, 7945, 607, 2835, 267, 9413, 267, 610, 7641, 2982, 1916, 275, 269, 17372, 1761, 4831, 1173, 3701, 2212, 6823, 269, 4165, 4602, 622, 1843, 687, 707, 5304, 1522, 6318, 543, 2232, 873, 30082, 269, 1635, 5466, 15852, 5784, 267, 596, 6542, 2463, 585, 707, 5467, 781, 4987, 543, 1397, 602, 596, 4312, 8499, 2808, 782, 5011, 540, 519, 3390, 563, 276, 269, 7736, 609, 513, 2312, 1289, 547, 2962, 269, 11559, 707, 3988, 547, 1491, 1808, 267, 15889, 3268, 2509, 8508, 5539, 543, 12477, 538, 741, 1378, 2729, 269, 6787, 621, 781, 4259, 11735, 942, 1142, 1554, 547, 2992, 593, 741, 3527, 610, 1818, 513, 6857, 4674, 547, 1246, 998, 593, 19647, 267, 1507, 2242, 666, 1291, 547, 2462, 9283, 936, 942, 780, 6962, 692, 21982, 5539, 585, 938, 3527, 543, 1373, 18177, 585, 519, 5079, 649, 1118, 616, 4909, 3344, 540, 1434, 1915, 269, 3414, 2502, 1806, 689, 11174, 5708, 543, 4052, 4388, 585, 13167, 10388, 3594, 267, 713, 3992, 814, 8268, 519, 4644, 540, 891, 2418, 543, 3177, 2645, 585, 11121, 1689, 538, 1866, 269, 1306, 2104, 3401, 267, 3048, 2209, 267, 543, 4961, 267, 621, 781, 909, 547, 1142, 540, 721, 547, 18220, 891, 3741, 538, 938, 1378, 2729, 543, 5000, 741, 10073, 1851, 1346, 1472, 721, 269, 2991, 782, 267, 607, 15609, 19664, 537, 865, 1714, 13228, 1836, 2322, 621, 267, 834, 2691, 649, 917, 1732, 267, 649, 798, 1732, 1701, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 16521, 2659, 4530, 454, 25823, 1315, 957, 3341, 2228, 10274, 543, 4388, 267, 476, 13647, 3501, 10388, 1557, 3584, 585, 1022, 7084, 563, 2710, 596, 991, 547, 2328, 513, 10388, 1557, 855, 5749, 1406, 2386, 1018, 1888, 547, 1445, 593, 286, 21518, 596, 4278, 2683, 950, 707, 4116, 1767, 596, 1223, 2328, 827, 8726, 596, 4941, 855, 616, 1631, 16397, 676, 519, 7399, 286, 1284, 2461, 1934, 547, 948, 2336, 5649, 593, 585, 513, 1592, 540, 476, 13647, 1283, 27677, 577, 10388, 1557, 3584, 267, 6896, 883, 4557, 6688, 269, 1677, 948, 1205, 596, 3323, 267, 649, 849, 1865, 1018, 513, 10388, 1557, 568, 267, 875, 547, 3442, 513, 1390, 1888, 267, 543, 1018, 4388, 547, 1832, 538, 2247, 607, 596, 2328, 707, 10388, 1557, 563, 1432, 1772, 513, 29480, 4828, 888, 1103, 513, 10388, 1557, 267, 596, 3801, 547, 18609, 3988, 547, 3858, 609, 707, 1448, 540, 2070, 593, 606, 4661, 269, 1280, 1383, 267, 606, 1557, 7421, 2242, 538, 7969, 1148, 1282, 519, 11193, 9327, 1406, 581, 513, 10388, 1557, 267, 1317, 972, 779, 1100, 4661, 267, 855, 606, 1557, 1141, 596, 8044, 602, 7969, 1148, 6603, 922, 8445, 1282, 519, 11193, 1131, 581, 513, 10388, 1557, 1317, 596, 2461, 2119, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 25215, 976, 2225, 1299, 10055, 1464, 257, 607, 851, 540, 834, 16300, 16337, 1315, 4317, 21771, 1315, 18880, 1299, 12484, 1132, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 277, 281, 645, 13589, 4149, 1399, 548, 18181, 910, 16871, 8899, 2961, 8510, 3433, 12389, 998, 1290, 3228, 16639, 692, 7072, 692, 1103, 2221, 781, 1072, 23655, 2486, 267, 972, 814, 1044, 513, 1713, 6521, 2509, 12561, 8192, 3270, 602, 3895, 2597, 2530, 543, 2949, 8171, 269, 2290, 971, 1935, 11543, 8560, 568, 519, 645, 13589, 2732, 267, 513, 1970, 19346, 6197, 6273, 676, 519, 2833, 540, 5261, 645, 13589, 538, 519, 4571, 268, 866, 628, 2540, 269, 901, 3184, 12538, 883, 519, 3741, 540, 645, 13589, 16654, 5986, 1247, 11744, 875, 5929, 4313, 3536, 666, 581, 556, 19960, 1441, 547, 5447, 609, 713, 1259, 540, 4189, 269, 1284, 786, 2263, 513, 21915, 531, 1944, 11600, 585, 14168, 8751, 6737, 32202, 749, 7236, 590, 19281, 267, 10223, 922, 17356, 609, 519, 645, 13589, 2732, 543, 7234, 2994, 585, 4509, 3666, 543, 3099, 1369, 707, 7594, 5079, 780, 8139, 519, 645, 13589, 10791, 692, 763, 645, 13589, 2732, 267, 849, 1634, 607, 519, 29145, 610, 1970, 2275, 16808, 2732, 267, 11363, 4389, 4616, 540, 1164, 21307, 8510, 3433, 3536, 543, 2799, 6981, 540, 2635, 9600, 267, 9793, 3940, 267, 543, 8770, 1673, 1619, 5388, 269, 1635, 12145, 19719, 267, 519, 1560, 13788, 513, 10894, 1533, 1572, 11337, 2670, 1141, 621, 17236, 3170, 585, 1648, 3079, 540, 7280, 269, 11330, 7859, 540, 713, 2732, 3409, 3875, 2640, 1519, 4264, 2597, 2530, 267, 4824, 7378, 8417, 267, 8476, 2790, 9355, 267, 543, 8519, 6553, 269, 1717, 267, 899, 1022, 25516, 2732, 267, 6297, 4058, 543, 7156, 616, 2556, 547, 2327, 7850, 6484, 543, 1279, 3856, 15984, 780, 3725, 19960, 1456, 25839, 31204, 281, 634, 3203, 540, 645, 13589, 4149, 1399, 548, 18181, 692, 9558, 14127, 2757, 10346, 883, 645, 13589, 7888, 8747, 3340, 5876, 543, 1702, 540, 3617, 12146, 2655, 4801, 269, 1280, 3236, 267, 15568, 9274, 543, 14836, 1058, 581, 8719, 609, 2898, 267, 796, 15263, 539, 3681, 971, 607, 30288, 7912, 267, 17310, 7912, 267, 610, 2848, 16129, 269, 3958, 267, 6220, 513, 2647, 5044, 540, 1875, 3613, 8944, 5388, 5849, 4797, 6775, 543, 6171, 6981, 1510, 18731, 16087, 9993, 269, 14936, 267, 9001, 2295, 268, 11794, 11041, 543, 9600, 267, 971, 607, 14462, 3282, 267, 25636, 3282 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]